Finite Group Databasebeta

← C2×#63041 #10586366

Subgroups — C2×#63041 #10586366

Order 512.

35756 conjugacy classes of subgroups.

The subgroup lattice has 2456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#63041C2164yesmaximal, direct product factor
2C2×#3498C211yesmaximal, characteristic, complemented
3C2×#3488C212yesmaximal, complemented
4C2×#3521C212yesmaximal, complemented
5C2×#3485C211yesmaximal, characteristic, complemented
6C2×#3519C212yesmaximal, complemented
7C2×#3513C212yesmaximal, complemented
8C2×#3496C212yesmaximal, complemented
9C2×#3484C212yesmaximal, complemented
10C2×#3484C211yesmaximal, characteristic, complemented
11C2×#3546C212yesmaximal, complemented
12C2×#3546C212yesmaximal, complemented
13C2×#3543C212yesmaximal, complemented
14C2×#3543C212yesmaximal, complemented
15C2×#3562C212yesmaximal, complemented
16C2×#3551C211yesmaximal, characteristic, complemented
17C2×#3560C214yesmaximal, complemented
18C2×#3540C211yesmaximal, characteristic, complemented
19C2×#3539C212yesmaximal, complemented
20C2×#3533C212yesmaximal, complemented
21C2×#3537C214yesmaximal, complemented
22C2×#3537C211yesmaximal, characteristic, complemented
23C2×#3534C214yesmaximal, complemented
24C2×#3534C214yesmaximal, complemented
25C2×#3542C214yesmaximal, complemented
26C2×#3542C212yesmaximal, complemented
27C2×#3532C214yesmaximal, complemented
28C2×#3532C212yesmaximal, complemented
29C2×#3529C211yesmaximal, characteristic, complemented
30C22×#560C212yesmaximal, complemented
31C22×H(5,𝔽2)C2212yescomplemented
32C22×H(5,𝔽2)C2211yescharacteristic, complemented
33C22×H(5,𝔽2)C2211yescharacteristic, complemented
34C23×#41C2211yescharacteristic, complemented
35C24×D4C2211yescharacteristic, complemented
36#3562C22164yescomplemented
37#3560C221128yescomplemented
38#3551C22132yescomplemented
39#3546C22164yescomplemented
40#3546C22164yescomplemented
41#3543C22164yescomplemented
42#3543C22164yescomplemented
43#3542C221128yescomplemented
44#3542C22164yescomplemented
45#3540C22132yescomplemented
46#3539C22164yescomplemented
47#3537C221128yescomplemented
48#3537C22132yescomplemented
49#3534C221128yescomplemented
50#3534C221128yescomplemented
51#3533C22164yescomplemented
52#3532C22164yescomplemented
53#3532C221128yescomplemented
54#3529C22132yescomplemented
55C2×#563C2211yescharacteristic, complemented
56C2×#563C2212yescomplemented
57C2×#563C2212yescomplemented
58C2×#562C2212yescomplemented
59C2×#562C2212yescomplemented
60C2×#562C2212yescomplemented
61C2×#562C2214yescomplemented
62C2×#562C2214yescomplemented
63C2×H(3,𝔽4)C2212yescomplemented
64C2×H(3,𝔽4)C2211yescharacteristic, complemented
65C2×#560C2214yescomplemented
66C2×#560C2214yescomplemented
67C2×#560C2212yescomplemented
68C2×#560C2211yescharacteristic, complemented
69C2×#560C2212yescomplemented
70C2×#560C2214yescomplemented
71C2×#560C2214yescomplemented
72C2×#560C2214yescomplemented
73C2×#560C2214yescomplemented
74C2×#560C2214yescomplemented
75C2×#560C2212yescomplemented
76C2×#560C2212yescomplemented
77C2×#560C2212yescomplemented
78C2×#560C2211yescharacteristic, complemented
79C2×#560C2214yescomplemented
80C2×#560C2214yescomplemented
81C2×#560C2214yescomplemented
82C2×#560C2212yescomplemented
83C2×#560C22164yescomplemented
84#3521C22164yescomplemented
85#3519C22164yescomplemented
86#3513C22164yescomplemented
87#3498C22132yescomplemented
88#3496C22164yescomplemented
89#3488C22164yescomplemented
90#3485C22132yescomplemented
91#3484C22132yescomplemented
92#3484C22164yescomplemented
93C2×#559C2212yescomplemented
94C2×#559C2212yescomplemented
95C2×#556C2212yescomplemented
96C2×#556C2212yescomplemented
97C2×#555C2212yescomplemented
98C2×#555C2212yescomplemented
99C2×#554C2212yescomplemented
100C2×#553C2212yescomplemented
101C2×#553C2212yescomplemented
102C2×#553C2214yescomplemented
103C2×#553C2214yescomplemented
104C2×#553C2214yescomplemented
105C2×#553C2214yescomplemented
106C2×#553C2214yescomplemented
107C2×#553C2212yescomplemented
108C2×#553C2212yescomplemented
109C2×#553C2214yescomplemented
110C2×#553C2214yescomplemented
111C2×#552C2212yescomplemented
112C2×#552C2212yescomplemented
113C2×#552C2214yescomplemented
114C2×#551C2214yescomplemented
115C2×#551C2212yescomplemented
116C2×#551C2214yescomplemented
117C2×#551C2214yescomplemented
118C2×#551C2214yescomplemented
119C2×#551C2212yescomplemented
120C2×#551C2214yescomplemented
121C2×#551C2214yescomplemented
122C2×#550C2212yescomplemented
123C2×#550C2212yescomplemented
124C2×#550C2212yescomplemented
125C2×#550C2214yescomplemented
126C2×#550C2212yescomplemented
127C2×#550C2212yescomplemented
128C2×#548C2212yescomplemented
129C2×#548C2212yescomplemented
130C2×#547C2212yescomplemented
131C2×#547C2212yescomplemented
132C2×#547C2212yescomplemented
133C2×#547C2212yescomplemented
134C2×#547C2214yescomplemented
135C2×#547C2214yescomplemented
136C2×#546C2214yescomplemented
137C2×#546C2214yescomplemented
138C2×#546C2214yescomplemented
139C2×#546C2212yescomplemented
140C2×#546C2212yescomplemented
141C2×#546C2212yescomplemented
142C2×#546C2212yescomplemented
143C2×#546C2212yescomplemented
144C2×#546C2212yescomplemented
145C2×#546C2214yescomplemented
146C2×#546C2214yescomplemented
147C2×#546C2214yescomplemented
148C2×#546C2214yescomplemented
149C2×#546C2214yescomplemented
150C2×#546C2214yescomplemented
151C2×#546C2214yescomplemented
152C2×#546C2214yescomplemented
153C2×#546C2214yescomplemented
154C2×#546C2212yescomplemented
155C2×#546C2214yescomplemented
156C2×#546C2212yescomplemented
157C2×#546C2214yescomplemented
158C2×#546C2214yescomplemented
159C2×#546C2214yescomplemented
160C2×#546C2212yescomplemented
161C2×#546C2212yescomplemented
162C2×D42C2214yescomplemented
163C2×D42C2214yescomplemented
164C2×D42C2212yescomplemented
165C2×D42C2214yescomplemented
166C2×D42C2212yescomplemented
167C2×D42C2212yescomplemented
168C2×D42C2212yescomplemented
169C2×D42C2212yescomplemented
170C2×D42C2212yescomplemented
171C2×D42C2212yescomplemented
172C2×D42C2214yescomplemented
173C2×D42C2214yescomplemented
174C2×D42C2212yescomplemented
175C2×D42C2214yescomplemented
176C2×D42C2214yescomplemented
177C2×D42C2212yescomplemented
178C2×D42C2214yescomplemented
179C2×D42C2214yescomplemented
180C2×D42C2212yescomplemented
181C2×#542C2212yescomplemented
182C2×#542C2214yescomplemented
183C2×#542C2212yescomplemented
184C2×#542C2214yescomplemented
185C2×#541C2212yescomplemented
186C2×#540C2212yescomplemented
187C2×#540C2214yescomplemented
188C2×#540C2214yescomplemented
189C2×#540C2212yescomplemented
190C2×#540C2212yescomplemented
191C2×#540C2214yescomplemented
192C2×#540C2214yescomplemented
193C2×#540C2214yescomplemented
194C2×#540C2214yescomplemented
195C2×#539C2214yescomplemented
196C2×#539C2214yescomplemented
197C2×#539C2214yescomplemented
198C2×#539C2214yescomplemented
199C2×#539C2214yescomplemented
200C2×#538C2214yescomplemented
201C2×#538C2214yescomplemented
202C2×#538C2214yescomplemented
203C2×#538C2214yescomplemented
204C2×#538C2214yescomplemented
205C2×#538C2214yescomplemented
206C2×#538C2214yescomplemented
207C2×#538C2214yescomplemented
208C2×#538C2214yescomplemented
209C2×#538C2214yescomplemented
210C2×#538C2214yescomplemented
211C2×#538C2214yescomplemented
212C2×#538C2214yescomplemented
213C2×#538C2214yescomplemented
214C2×#537C2212yescomplemented
215C2×#537C2212yescomplemented
216C2×#537C2214yescomplemented
217C2×#537C2214yescomplemented
218C2×#537C2212yescomplemented
219C2×#536C2211yescharacteristic, complemented
220C2×#536C2211yescharacteristic, complemented
221C2×#535C2211yescharacteristic, complemented
222C2×#535C2212yescomplemented
223C2×#535C2211yescharacteristic, complemented
224C2×#535C2212yescomplemented
225C2×#535C2214yescomplemented
226C2×#535C2212yescomplemented
227C2×#535C2214yescomplemented
228C2×#535C2214yescomplemented
229C2×#535C2214yescomplemented
230C2×#535C2211yescharacteristic, complemented
231C2×#535C2212yescomplemented
232C2×#535C2214yescomplemented
233C2×#535C2211yescharacteristic, complemented
234C2×#535C2212yescomplemented
235C2×#534C2212yescomplemented
236C2×#534C2214yescomplemented
237C2×#534C2214yescomplemented
238C2×#534C2212yescomplemented
239C2×#534C2214yescomplemented
240C2×#534C2214yescomplemented
241C2×#534C2214yescomplemented
242C2×#534C2214yescomplemented
243C2×#534C2212yescomplemented
244C2×#534C2214yescomplemented
245C2×#534C2214yescomplemented
246C2×#534C2212yescomplemented
247C2×#532C2211yescharacteristic, complemented
248C2×#532C2212yescomplemented
249C2×#532C2212yescomplemented
250C2×#532C2212yescomplemented
251C2×#532C2212yescomplemented
252C22×#127C2212yescomplemented
253C22×#127C2211yescharacteristic, complemented
254C2×#529C2212yescomplemented
255C2×#529C2212yescomplemented
256C2×#529C2212yescomplemented
257C2×#529C2214yescomplemented
258C2×#529C2212yescomplemented
259C2×#529C2212yescomplemented
260C22×#126C2214yescomplemented
261C2×#525C2211yescharacteristic, complemented
262C2×#525C2212yescomplemented
263C2×#525C2212yescomplemented
264C2×#525C2211yescharacteristic, complemented
265C2×#525C2211yescharacteristic, complemented
266C2×#525C2212yescomplemented
267C2×#525C2214yescomplemented
268C2×#525C2214yescomplemented
269C2×#525C2214yescomplemented
270C2×#525C2211yescharacteristic, complemented
271C22×#123C2214yescomplemented
272C22×#123C2212yescomplemented
273C22×#123C2212yescomplemented
274C22×#121C2214yescomplemented
275C22×#121C2214yescomplemented
276C22×#121C2214yescomplemented
277C22×#121C2214yescomplemented
278C22×#121C2212yescomplemented
279C22×#120C2214yescomplemented
280C22×#120C2212yescomplemented
281C22×#120C2212yescomplemented
282C22×#120C2214yescomplemented
283C2×#520C2212yescomplemented
284C2×#518C2211yescharacteristic, complemented
285C2×#518C2212yescomplemented
286C2×#518C2211yescharacteristic, complemented
287C2×C4×#41C2211yescharacteristic, complemented
288C22×C4×D4C2212yescomplemented
289C26C2312yes—
290C2×H(5,𝔽2)—48no—
291C2×H(5,𝔽2)—416no—
292C2×H(5,𝔽2)—48no—
293C2×H(5,𝔽2)C23116yescomplemented
294C2×H(5,𝔽2)C23132yescomplemented
295C2×H(5,𝔽2)C23116yescomplemented
296C22×#41—48no—
297C22×#41C2312yes—
298C22×#41C2311yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2314yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2314yescomplemented
308C22×#41C2312yescomplemented
309C22×#41C2311yescharacteristic, complemented
310C22×#41C2312yescomplemented
311C22×#41C2312yescomplemented
312C22×#41C2314yescomplemented
313C22×#41C2314yescomplemented
314C22×#41C2314yescomplemented
315C22×#41C23116yescomplemented
316C23×Q8C2311yescharacteristic, complemented
317C23×D4—48no—
318C23×D4C2312yes—
319C23×D4C2311yescharacteristic
320C23×D4C2311yescharacteristic
321C23×D4C2312yes—
322C23×D4C2312yes—
323C23×D4C2314yes—
324C23×D4C2311yescharacteristic
325C23×D4C2312yes—
326C23×D4C2314yes—
327C23×D4C2312yes—
328C23×D4C2312yes—
329C23×D4C2314yes—
330C23×D4C2314yes—
331C23×D4C2312yes—
332C23×D4C2312yes—
333C23×D4C2311yescharacteristic
334C23×D4C2314yes—
335C23×D4C2314yes—
336C23×D4C2314yes—
337C23×D4C2314yes—
338C23×D4C2314yes—
339C23×D4C2314yes—
340C23×D4C23116yescomplemented
341C23×D4C2312yescomplemented
342C23×D4C2312yescomplemented
343C23×D4C2314yescomplemented
344C23×D4C2311yescharacteristic, complemented
345C23×D4C2314yescomplemented
346C23×D4C2314yescomplemented
347C23×D4C2314yescomplemented
348C23×D4C2314yescomplemented
349C24×C4C2311yescharacteristic
350C24×C4C2312yescomplemented
351C24×C4C2311yescharacteristic, complemented
352C24×C4C2314yescomplemented
353#563C23116yescomplemented
354#563C23132yescomplemented
355#563C23132yescomplemented
356#562C23132yescomplemented
357#562C23132yescomplemented
358#562C23132yescomplemented
359#562C23164yescomplemented
360#562C23164yescomplemented
361H(3,𝔽4)C23116yescomplemented
362H(3,𝔽4)C23132yescomplemented
363#560C23116yescomplemented
364#560C23164yescomplemented
365#560C23132yescomplemented
366#560C23132yescomplemented
367#560C23164yescomplemented
368#560C23164yescomplemented
369#560C23164yescomplemented
370#560C23164yescomplemented
371#560C23164yescomplemented
372#560C23132yescomplemented
373#560C23164yescomplemented
374#560C23132yescomplemented
375#560C23132yescomplemented
376#560C23116yescomplemented
377#560C23164yescomplemented
378#560C23164yescomplemented
379#560C23164yescomplemented
380#560C23132yescomplemented
381#559C23132yescomplemented
382#559C23132yescomplemented
383#556C23132yescomplemented
384#556C23132yescomplemented
385#555C23132yescomplemented
386#555C23132yescomplemented
387#554C23132yescomplemented
388#553C23132yescomplemented
389#553C23132yescomplemented
390#553C23164yescomplemented
391#553C23164yescomplemented
392#553C23164yescomplemented
393#553C23164yescomplemented
394#553C23132yescomplemented
395#553C23164yescomplemented
396#553C23132yescomplemented
397#553C23164yescomplemented
398#553C23164yescomplemented
399#552C23132yescomplemented
400#552C23132yescomplemented
401#552C23164yescomplemented
402#551C23164yescomplemented
403#551C23164yescomplemented
404#551C23164yescomplemented
405#551C23132yescomplemented
406#551C23164yescomplemented
407#551C23132yescomplemented
408#551C23164yescomplemented
409#551C23164yescomplemented
410#550C23132yescomplemented
411#550C23132yescomplemented
412#550C23132yescomplemented
413#550C23164yescomplemented
414#550C23132yescomplemented
415#550C23132yescomplemented
416#548C23132yescomplemented
417#548C23132yescomplemented
418#547C23132yescomplemented
419#547C23132yescomplemented
420#547C23132yescomplemented
421#547C23132yescomplemented
422#547C23164yescomplemented
423#547C23164yescomplemented
424#546C23132yescomplemented
425#546C23132yescomplemented
426#546C23132yescomplemented
427#546C23164yescomplemented
428#546C23164yescomplemented
429#546C23164yescomplemented
430#546C23132yescomplemented
431#546C23132yescomplemented
432#546C23132yescomplemented
433#546C23164yescomplemented
434#546C23164yescomplemented
435#546C23164yescomplemented
436#546C23164yescomplemented
437#546C23164yescomplemented
438#546C23164yescomplemented
439#546C23164yescomplemented
440#546C23164yescomplemented
441#546C23164yescomplemented
442#546C23132yescomplemented
443#546C23164yescomplemented
444#546C23132yescomplemented
445#546C23164yescomplemented
446#546C23164yescomplemented
447#546C23164yescomplemented
448#546C23132yescomplemented
449#546C23132yescomplemented
450D42C23132yescomplemented
451D42C23132yescomplemented
452D42C23132yescomplemented
453D42C23164yescomplemented
454D42C23164yescomplemented
455D42C23164yescomplemented
456D42C23132yescomplemented
457D42C23132yescomplemented
458D42C23132yescomplemented
459D42C23132yescomplemented
460D42C23164yescomplemented
461D42C23164yescomplemented
462D42C23164yescomplemented
463D42C23164yescomplemented
464D42C23132yescomplemented
465D42C23132yescomplemented
466D42C23164yescomplemented
467D42C23164yescomplemented
468D42C23132yescomplemented
469#542C23132yescomplemented
470#542C23164yescomplemented
471#542C23132yescomplemented
472#542C23164yescomplemented
473#541C23132yescomplemented
474#540C23132yescomplemented
475#540C23164yescomplemented
476#540C23164yescomplemented
477#540C23132yescomplemented
478#540C23132yescomplemented
479#540C23164yescomplemented
480#540C23164yescomplemented
481#540C23164yescomplemented
482#540C23164yescomplemented
483#539C23164yescomplemented
484#539C23164yescomplemented
485#539C23164yescomplemented
486#539C23164yescomplemented
487#539C23164yescomplemented
488#538C23164yescomplemented
489#538C23164yescomplemented
490#538C23164yescomplemented
491#538C23164yescomplemented
492#538C23164yescomplemented
493#538C23164yescomplemented
494#538C23164yescomplemented
495#538C23164yescomplemented
496#538C23164yescomplemented
497#538C23164yescomplemented
498#538C23164yescomplemented
499#538C23164yescomplemented
500#538C23164yescomplemented
501#538C23164yescomplemented
502#537C23132yescomplemented
503#537C23132yescomplemented
504#537C23164yescomplemented
505#537C23164yescomplemented
506#537C23132yescomplemented
507#536C23116yescomplemented
508#536C23116yescomplemented
509#535C23116yescomplemented
510#535C23132yescomplemented
511#535C23132yescomplemented
512#535C23116yescomplemented
513#535C23164yescomplemented
514#535C23132yescomplemented
515#535C23164yescomplemented
516#535C23164yescomplemented
517#535C23164yescomplemented
518#535C23116yescomplemented
519#535C23132yescomplemented
520#535C23164yescomplemented
521#535C23116yescomplemented
522#535C23132yescomplemented
523#534C23132yescomplemented
524#534C23132yescomplemented
525#534C23164yescomplemented
526#534C23164yescomplemented
527#534C23132yescomplemented
528#534C23164yescomplemented
529#534C23164yescomplemented
530#534C23164yescomplemented
531#534C23164yescomplemented
532#534C23164yescomplemented
533#534C23164yescomplemented
534#534C23132yescomplemented
535#532C23132yescomplemented
536#532C23116yescomplemented
537#532C23132yescomplemented
538#532C23132yescomplemented
539#532C23132yescomplemented
540C2×C4⋊Q8C2311yescharacteristic, complemented
541C2×C4⋊Q8C2312yescomplemented
542C2×C4⋊Q8C2312yescomplemented
543C2×C4⋊Q8C2312yescomplemented
544C2×C4⋊Q8C2312yescomplemented
545C2×#127C2311yescharacteristic
546C2×#127C2312yes—
547C2×#127C2312yes—
548C2×#127C2314yes—
549C2×#127C2312yes—
550C2×#127C2312yes—
551C2×#127C2312yes—
552C2×#127C2314yes—
553C2×#127C2314yes—
554C2×#127C2312yes—
555C2×#127C2312yescomplemented
556C2×#127C2312yescomplemented
557C2×#127C2312yescomplemented
558C2×#127C2312yescomplemented
559C2×#127C2314yescomplemented
560C2×#127C2314yescomplemented
561C2×#127C23132yescomplemented
562C2×#127C23116yescomplemented
563#529C23132yescomplemented
564#529C23132yescomplemented
565#529C23132yescomplemented
566#529C23164yescomplemented
567#529C23132yescomplemented
568#529C23132yescomplemented
569C2×#126C2312yes—
570C2×#126C2314yes—
571C2×#126C2314yes—
572C2×#126C2314yes—
573C2×#126C2312yes—
574C2×#126C2312yes—
575C2×#126C2314yes—
576C2×#126C2314yes—
577C2×#126C2314yescomplemented
578C2×#126C2314yescomplemented
579C2×#126C2314yescomplemented
580C2×#126C2314yescomplemented
581C2×#126C2312yescomplemented
582C2×#126C2314yescomplemented
583C2×#126C2312yescomplemented
584C2×#126C2312yescomplemented
585C2×#126C2314yescomplemented
586C2×#126C2314yescomplemented
587C2×#126C2314yescomplemented
588C2×#126C2314yescomplemented
589C2×#126C2314yescomplemented
590C2×#126C2314yescomplemented
591C2×#126C23164yescomplemented
592C2×#125C2314yescomplemented
593C2×#125C2312yescomplemented
594C2×#125C2312yescomplemented
595C2×#125C2312yescomplemented
596C2×#125C2312yescomplemented
597C2×#125C2312yescomplemented
598C2×#125C2314yescomplemented
599C2×#125C2314yescomplemented
600C2×#125C2314yescomplemented
601C2×#124C2312yes—
602C2×#124C2312yes—
603C2×#124C2312yes—
604C2×#124C2312yes—
605C2×#124C2312yes—
606C2×#124C2311yescharacteristic
607C2×#124C2312yes—
608C2×#124C2312yes—
609C2×#124C2312yes—
610C2×#124C2314yes—
611C2×#124C2314yes—
612C2×#124C2314yes—
613C2×#124C2314yes—
614C2×#124C2312yes—
615C2×#124C2314yes—
616C2×#124C2314yescomplemented
617C2×#124C2312yescomplemented
618C2×#124C2312yescomplemented
619C2×#124C2311yescharacteristic, complemented
620C2×#124C2314yescomplemented
621C2×#124C2312yescomplemented
622C2×#124C2312yescomplemented
623C2×#124C2314yescomplemented
624C2×#124C2314yescomplemented
625C2×#124C2314yescomplemented
626#525C23132yescomplemented
627#525C23116yescomplemented
628#525C23116yescomplemented
629#525C23132yescomplemented
630#525C23116yescomplemented
631#525C23132yescomplemented
632#525C23164yescomplemented
633#525C23164yescomplemented
634#525C23164yescomplemented
635#525C23116yescomplemented
636C2×#123C2311yescharacteristic
637C2×#123C2312yes—
638C2×#123C2312yes—
639C2×#123C2314yes—
640C2×#123C2314yes—
641C2×#123C2314yes—
642C2×#123C2314yes—
643C2×#123C2314yes—
644C2×#123C2314yes—
645C2×#123C2312yes—
646C2×#123C2311yescharacteristic
647C2×#123C2312yes—
648C2×#123C2312yes—
649C2×#123C2311yescharacteristic
650C2×#123C2314yes—
651C2×#123C2312yes—
652C2×#123C2314yes—
653C2×#123C2312yes—
654C2×#123C2312yes—
655C2×#123C2314yes—
656C2×#123C2314yes—
657C2×#123C2314yes—
658C2×#123C2314yes—
659C2×#123C2314yes—
660C2×#123C2314yes—
661C2×#123C2312yescomplemented
662C2×#123C2311yescharacteristic, complemented
663C2×#123C2314yescomplemented
664C2×#123C2312yescomplemented
665C2×#123C2312yescomplemented
666C2×#123C2312yescomplemented
667C2×#123C2314yescomplemented
668C2×#123C2314yescomplemented
669C2×#123C2314yescomplemented
670C2×#123C2314yescomplemented
671C2×#123C2314yescomplemented
672C2×#123C2312yescomplemented
673C2×#123C2314yescomplemented
674C2×#123C2314yescomplemented
675C2×#123C2314yescomplemented
676C2×#123C2312yescomplemented
677C2×#123C2314yescomplemented
678C2×#123C2314yescomplemented
679C2×#123C2312yescomplemented
680C2×#123C2312yescomplemented
681C2×#123C2314yescomplemented
682C2×#123C2314yescomplemented
683C2×#123C2314yescomplemented
684C2×#123C2314yescomplemented
685C2×#123C2314yescomplemented
686C2×#123C2314yescomplemented
687C2×#123C2314yescomplemented
688C2×#123C2314yescomplemented
689C2×#123C2314yescomplemented
690C2×#123C2314yescomplemented
691C2×#123C2314yescomplemented
692C2×#123C2314yescomplemented
693C2×#123C23132yescomplemented
694C2×#123C23164yescomplemented
695C2×#123C23132yescomplemented
696C2×C22⋊Q8C2312yes—
697C2×C22⋊Q8C2312yes—
698C2×C22⋊Q8C2312yes—
699C2×C22⋊Q8C2312yes—
700C2×C22⋊Q8C2312yes—
701C2×C22⋊Q8C2312yes—
702C2×C22⋊Q8C2312yescomplemented
703C2×C22⋊Q8C2312yescomplemented
704C2×C22⋊Q8C2314yescomplemented
705C2×C22⋊Q8C2312yescomplemented
706C2×C22⋊Q8C2314yescomplemented
707C2×C22⋊Q8C2312yescomplemented
708C2×C22⋊Q8C2314yescomplemented
709C2×C22⋊Q8C2312yescomplemented
710C2×C22⋊Q8C2314yescomplemented
711C2×C22⋊Q8C2312yescomplemented
712C2×C22⋊Q8C2312yescomplemented
713C2×C22⋊Q8C2312yescomplemented
714C2×C22⋊Q8C2314yescomplemented
715C2×C22⋊Q8C2312yescomplemented
716C2×C22⋊Q8C2314yescomplemented
717C2×C22⋊Q8C2314yescomplemented
718C2×C22⋊Q8C2314yescomplemented
719C2×C22⋊Q8C2314yescomplemented
720C2×C22⋊Q8C2314yescomplemented
721C2×C22⋊Q8C2314yescomplemented
722C2×C22⋊Q8C2314yescomplemented
723C2×C22⋊Q8C2314yescomplemented
724C2×#121C2312yes—
725C2×#121C2312yes—
726C2×#121C2312yes—
727C2×#121C2314yes—
728C2×#121C2314yes—
729C2×#121C2314yes—
730C2×#121C2314yes—
731C2×#121C2314yes—
732C2×#121C2314yes—
733C2×#121C2312yes—
734C2×#121C2314yes—
735C2×#121C2312yes—
736C2×#121C2314yes—
737C2×#121C2314yes—
738C2×#121C2314yes—
739C2×#121C2314yes—
740C2×#121C2314yes—
741C2×#121C2312yes—
742C2×#121C2314yes—
743C2×#121C2312yes—
744C2×#121C2312yes—
745C2×#121C2312yes—
746C2×#121C2312yes—
747C2×#121C2312yes—
748C2×#121C2312yes—
749C2×#121C2312yes—
750C2×#121C2312yes—
751C2×#121C2314yes—
752C2×#121C2312yes—
753C2×#121C2312yes—
754C2×#121C2312yes—
755C2×#121C2312yes—
756C2×#121C2312yes—
757C2×#121C2314yes—
758C2×#121C2312yes—
759C2×#121C2312yes—
760C2×#121C2314yes—
761C2×#121C2314yes—
762C2×#121C2314yes—
763C2×#121C2314yes—
764C2×#121C2314yes—
765C2×#121C2314yes—
766C2×#121C2314yes—
767C2×#121C2314yes—
768C2×#121C2314yes—
769C2×#121C2314yes—
770C2×#121C2314yes—
771C2×#121C2314yes—
772C2×#121C2314yes—
773C2×#121C2314yes—
774C2×#121C2314yes—
775C2×#121C2314yescomplemented
776C2×#121C2314yescomplemented
777C2×#121C2312yescomplemented
778C2×#121C2314yescomplemented
779C2×#121C2314yescomplemented
780C2×#121C2314yescomplemented
781C2×#121C2314yescomplemented
782C2×#121C2314yescomplemented
783C2×#121C2314yescomplemented
784C2×#121C2314yescomplemented
785C2×#121C2314yescomplemented
786C2×#121C2312yescomplemented
787C2×#121C2314yescomplemented
788C2×#121C2314yescomplemented
789C2×#121C2314yescomplemented
790C2×#121C2312yescomplemented
791C2×#121C2314yescomplemented
792C2×#121C2314yescomplemented
793C2×#121C2314yescomplemented
794C2×#121C2314yescomplemented
795C2×#121C2314yescomplemented
796C2×#121C2314yescomplemented
797C2×#121C2314yescomplemented
798C2×#121C2312yescomplemented
799C2×#121C2312yescomplemented
800C2×#121C2314yescomplemented
801C2×#121C2312yescomplemented
802C2×#121C2314yescomplemented
803C2×#121C2314yescomplemented
804C2×#121C2314yescomplemented
805C2×#121C2314yescomplemented
806C2×#121C2314yescomplemented
807C2×#121C2314yescomplemented
808C2×#121C2314yescomplemented
809C2×#121C2314yescomplemented
810C2×#121C2314yescomplemented
811C2×#121C2314yescomplemented
812C2×#121C2314yescomplemented
813C2×#121C2314yescomplemented
814C2×#121C2314yescomplemented
815C2×#121C23164yescomplemented
816C2×#121C23164yescomplemented
817C2×#121C23164yescomplemented
818C2×#121C23132yescomplemented
819C2×#121C23164yescomplemented
820C2×#120C2312yes—
821C2×#120C2312yes—
822C2×#120C2314yes—
823C2×#120C2312yes—
824C2×#120C2311yescharacteristic
825C2×#120C2311yescharacteristic
826C2×#120C2312yes—
827C2×#120C2314yes—
828C2×#120C2314yes—
829C2×#120C2312yes—
830C2×#120C2314yes—
831C2×#120C2312yes—
832C2×#120C2314yes—
833C2×#120C2312yes—
834C2×#120C2314yes—
835C2×#120C2314yes—
836C2×#120C2314yes—
837C2×#120C2314yes—
838C2×#120C2314yes—
839C2×#120C2314yes—
840C2×#120C2314yes—
841C2×#120C2314yes—
842C2×#120C2314yes—
843C2×#120C2314yes—
844C2×#120C2314yes—
845C2×#120C2314yes—
846C2×#120C2314yes—
847C2×#120C2311yescharacteristic
848C2×#120C2312yes—
849C2×#120C2314yes—
850C2×#120C2314yes—
851C2×#120C2314yes—
852C2×#120C2312yes—
853C2×#120C2314yes—
854C2×#120C2314yes—
855C2×#120C2314yes—
856C2×#120C23164yescomplemented
857C2×#120C23132yescomplemented
858C2×#120C23132yescomplemented
859C2×#120C23164yescomplemented
860C2×#120C2312yescomplemented
861C2×#120C2311yescharacteristic, complemented
862C2×#120C2314yescomplemented
863C2×#120C2314yescomplemented
864C2×#120C2312yescomplemented
865C2×#120C2314yescomplemented
866C2×#120C2314yescomplemented
867C2×#120C2314yescomplemented
868C2×#120C2314yescomplemented
869C2×#120C2314yescomplemented
870C2×#120C2314yescomplemented
871C2×#120C2314yescomplemented
872C2×#120C2314yescomplemented
873C2×#120C2312yescomplemented
874#520C23132yescomplemented
875#518C23116yescomplemented
876#518C23132yescomplemented
877#518C23116yescomplemented
878C4×#41C23116yescomplemented
879C2×C4×Q8C2312yescomplemented
880C2×C4×Q8C2312yescomplemented
881C2×C4×Q8C2312yescomplemented
882C2×C4×Q8C2312yescomplemented
883C2×C4×Q8C2314yescomplemented
884C2×C4×D4C2312yes—
885C2×C4×D4C2312yes—
886C2×C4×D4C2312yes—
887C2×C4×D4C2314yes—
888C2×C4×D4C2314yes—
889C2×C4×D4C2314yes—
890C2×C4×D4C2312yes—
891C2×C4×D4C2312yes—
892C2×C4×D4C2312yes—
893C2×C4×D4C2312yes—
894C2×C4×D4C2312yes—
895C2×C4×D4C2312yes—
896C2×C4×D4C2312yes—
897C2×C4×D4C2312yes—
898C2×C4×D4C2312yes—
899C2×C4×D4C2314yes—
900C2×C4×D4C2314yes—
901C2×C4×D4C2314yes—
902C2×C4×D4C2314yescomplemented
903C2×C4×D4C2314yescomplemented
904C2×C4×D4C2312yescomplemented
905C2×C4×D4C2312yescomplemented
906C2×C4×D4C2314yescomplemented
907C2×C4×D4C2314yescomplemented
908C2×C4×D4C2312yescomplemented
909C2×C4×D4C2314yescomplemented
910C2×C4×D4C2314yescomplemented
911C2×C4×D4C2312yescomplemented
912C2×C4×D4C2312yescomplemented
913C2×C4×D4C2312yescomplemented
914C2×C4×D4C2314yescomplemented
915C2×C4×D4C2314yescomplemented
916C2×C4×D4C2314yescomplemented
917C2×C4×D4C2314yescomplemented
918C2×C4×D4C2314yescomplemented
919C2×C4×D4C2314yescomplemented
920C2×C4×D4C2314yescomplemented
921C2×C4×D4C2314yescomplemented
922C2×C4×D4C2314yescomplemented
923C2×C4×D4C2314yescomplemented
924C2×C4×D4C2314yescomplemented
925C2×C4×D4C2314yescomplemented
926C2×C4×D4C2314yescomplemented
927C2×C4×D4C2314yescomplemented
928C2×C4×D4C2314yescomplemented
929C2×C4×D4C2314yescomplemented
930C2×C4×D4C2314yescomplemented
931C2×C4×D4C23132yescomplemented
932C2×#117C2312yes—
933C2×#117C2311yescharacteristic
934C2×#117C2311yescharacteristic
935C2×#117C2312yes—
936C2×#117C2312yescomplemented
937C2×#117C2311yescharacteristic, complemented
938C2×#117C2311yescharacteristic, complemented
939C2×#117C2311yescharacteristic, complemented
940C2×#117C2312yescomplemented
941C2×#117C2314yescomplemented
942C2×#117C2314yescomplemented
943C2×#117C2314yescomplemented
944C2×#117C2314yescomplemented
945C2×#117C2314yescomplemented
946C2×#117C2314yescomplemented
947C2×#117C2314yescomplemented
948C22×C4⋊C4C2312yescomplemented
949C22×C4⋊C4C2314yescomplemented
950C22×C4⋊C4C2312yescomplemented
951C22×C4⋊C4C2314yescomplemented
952C22×C4⋊C4C2314yescomplemented
953C22×C4⋊C4C2314yescomplemented
954C22×C4⋊C4C2314yescomplemented
955C22×C22⋊C4C2314yes—
956C22×C22⋊C4C2312yes—
957C22×C22⋊C4C2312yes—
958C22×C22⋊C4C2314yes—
959C22×C22⋊C4C2314yes—
960C22×C22⋊C4C2314yes—
961C22×C22⋊C4C2314yes—
962C22×C22⋊C4C2314yes—
963C22×C22⋊C4C2314yes—
964C22×C22⋊C4C2314yes—
965C22×C22⋊C4C2314yescomplemented
966C22×C22⋊C4C2312yescomplemented
967C22×C22⋊C4C2312yescomplemented
968C22×C22⋊C4C2314yescomplemented
969C22×C22⋊C4C2314yescomplemented
970C22×C22⋊C4C2314yescomplemented
971C22×C22⋊C4C2314yescomplemented
972C22×C22⋊C4C2314yescomplemented
973C22×C42C2312yescomplemented
974C22×C42C2312yescomplemented
975C22×C42C2311yescharacteristic, complemented
976C25—48no—
977C25—88no—
978C25C2414yes—
979C25C2412yes—
980C25C2412yes—
981C25C2414yes—
982C25C2412yes—
983C25C2414yes—
984C25C2412yes—
985C25C2412yes—
986C25C2414yes—
987C25C2411yescharacteristic
988C25C2411yescharacteristic
989C25C24116yes—
990H(5,𝔽2)—464no—
991H(5,𝔽2)—4128no—
992H(5,𝔽2)—464no—
993C2×#41—216no—
994C2×#41—28no—
995C2×#41—44no—
996C2×#41—48no—
997C2×#41—44no—
998C2×#41—416no—
999C2×#41—416no—
1000C2×#41—48no—
1001C2×#41—48no—
1002C2×#41—48no—
1003C2×#41—48no—
1004C2×#41—44no—
1005C2×#41—44no—
1006C2×#41—48no—
1007C2×#41—48no—
1008C2×#41—464no—
1009C2×#41—88no—
1010C2×#41—88no—
1011C2×#41—88no—
1012C2×#41C2418yes—
1013C2×#41C24116yes—
1014C2×#41C2418yes—
1015C2×#41C24116yes—
1016C2×#41C24116yes—
1017C2×#41C2418yes—
1018C2×#41C2418yes—
1019C2×#41C24132yes—
1020C2×#41C24116yes—
1021C2×#41C24116yes—
1022C2×#41C2418yescomplemented
1023C2×#41C24116yescomplemented
1024C2×#41C24116yescomplemented
1025C2×#41C24132yescomplemented
1026C2×#41C24116yescomplemented
1027C2×#41C24132yescomplemented
1028C2×#41C24132yescomplemented
1029C2×#41C24132yescomplemented
1030C22×Q8—44no—
1031C22×Q8C2412yes—
1032C22×Q8C2411yescharacteristic
1033C22×Q8C2412yes—
1034C22×Q8C2414yes—
1035C22×Q8C2412yes—
1036C22×Q8C2411yescharacteristic
1037C22×Q8C2412yes—
1038C22×Q8C2411yescharacteristic
1039C22×Q8C2418yescomplemented
1040C22×D4—216no—
1041C22×D4—28no—
1042C22×D4—28no—
1043C22×D4—216no—
1044C22×D4—44no—
1045C22×D4—48no—
1046C22×D4—48no—
1047C22×D4—44no—
1048C22×D4—44no—
1049C22×D4—416no—
1050C22×D4—48no—
1051C22×D4—48no—
1052C22×D4—464no—
1053C22×D4—48no—
1054C22×D4—416no—
1055C22×D4—48no—
1056C22×D4—416no—
1057C22×D4—416no—
1058C22×D4—48no—
1059C22×D4—48no—
1060C22×D4—416no—
1061C22×D4—88no—
1062C22×D4—88no—
1063C22×D4—88no—
1064C22×D4—88no—
1065C22×D4—88no—
1066C22×D4—88no—
1067C22×D4—88no—
1068C22×D4—88no—
1069C22×D4—88no—
1070C22×D4—88no—
1071C22×D4C2414yes—
1072C22×D4C2412yes—
1073C22×D4C2411yescharacteristic
1074C22×D4C2412yes—
1075C22×D4C2412yes—
1076C22×D4C2414yes—
1077C22×D4C2414yes—
1078C22×D4C2412yes—
1079C22×D4C2412yes—
1080C22×D4C2411yescharacteristic
1081C22×D4C24116yes—
1082C22×D4C2418yes—
1083C22×D4C2418yes—
1084C22×D4C24116yes—
1085C22×D4C2412yes—
1086C22×D4C2412yes—
1087C22×D4C2412yes—
1088C22×D4C2414yes—
1089C22×D4C2412yes—
1090C22×D4C2414yes—
1091C22×D4C2412yes—
1092C22×D4C2414yes—
1093C22×D4C2412yes—
1094C22×D4C2414yes—
1095C22×D4C2414yes—
1096C22×D4C2414yes—
1097C22×D4C2414yes—
1098C22×D4C2414yes—
1099C22×D4C2414yes—
1100C22×D4C2414yes—
1101C22×D4C2414yes—
1102C22×D4C2414yes—
1103C22×D4C2414yes—
1104C22×D4C2414yes—
1105C22×D4C2414yes—
1106C22×D4C2412yes—
1107C22×D4C2412yes—
1108C22×D4C2414yes—
1109C22×D4C2414yes—
1110C22×D4C2414yes—
1111C22×D4C2414yes—
1112C22×D4C2412yes—
1113C22×D4C2414yes—
1114C22×D4C2411yescharacteristic
1115C22×D4C2412yes—
1116C22×D4C2414yes—
1117C22×D4C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2414yes—
1121C22×D4C2412yes—
1122C22×D4C2414yes—
1123C22×D4C2412yes—
1124C22×D4C2414yes—
1125C22×D4C2412yes—
1126C22×D4C2414yes—
1127C22×D4C2411yescharacteristic
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C24132yes—
1131C22×D4C24116yes—
1132C22×D4C24116yes—
1133C22×D4C24132yes—
1134C22×D4C2412yes—
1135C22×D4C2414yes—
1136C22×D4C2411yescharacteristic
1137C22×D4C24132yes—
1138C22×D4C24116yes—
1139C22×D4C24116yes—
1140C22×D4C2418yes—
1141C22×D4C24116yes—
1142C22×D4C24132yes—
1143C22×D4C2418yes—
1144C22×D4C24116yes—
1145C22×D4C24132yes—
1146C22×D4C24132yes—
1147C22×D4C24132yes—
1148C22×D4C24132yes—
1149C22×D4C24132yes—
1150C22×D4C24132yes—
1151C22×D4C2411yescharacteristic
1152C22×D4C24116yescomplemented
1153C22×D4C24132yescomplemented
1154C22×D4C2418yescomplemented
1155C22×D4C24116yescomplemented
1156C22×D4C24132yescomplemented
1157C22×D4C24132yescomplemented
1158C22×D4C24132yescomplemented
1159C22×D4C24132yescomplemented
1160C23×C4—44no—
1161C23×C4—44no—
1162C23×C4—48no—
1163C23×C4—88no—
1164C23×C4C2414yes—
1165C23×C4C2412yes—
1166C23×C4C2412yes—
1167C23×C4C2412yes—
1168C23×C4C2412yes—
1169C23×C4C2411yescharacteristic
1170C23×C4C2411yescharacteristic
1171C23×C4C2411yescharacteristic
1172C23×C4C2414yes—
1173C23×C4C2414yes—
1174C23×C4C2414yes—
1175C23×C4C2414yes—
1176C23×C4C2414yes—
1177C23×C4C2414yes—
1178C23×C4C2412yes—
1179C23×C4C2414yes—
1180C23×C4C2414yes—
1181C23×C4C2414yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2414yes—
1185C23×C4C2414yes—
1186C23×C4C2414yes—
1187C23×C4C2414yes—
1188C23×C4C2414yes—
1189C23×C4C2412yes—
1190C23×C4C2414yes—
1191C23×C4C2412yes—
1192C23×C4C2411yescharacteristic
1193C23×C4C2412yes—
1194C23×C4C2412yes—
1195C23×C4C2412yes—
1196C23×C4C2411yescharacteristic
1197C23×C4C2418yes—
1198C23×C4C24116yescomplemented
1199C23×C4C2418yescomplemented
1200C23×C4C24132yescomplemented
1201C4⋊Q8C2418yescomplemented
1202C4⋊Q8C24116yescomplemented
1203C4⋊Q8C24116yescomplemented
1204C4⋊Q8C24116yescomplemented
1205C4⋊Q8C24116yescomplemented
1206#127C2418yes—
1207#127C24116yes—
1208#127C24116yes—
1209#127C24132yes—
1210#127C24116yes—
1211#127C24116yes—
1212#127C24116yes—
1213#127C24132yes—
1214#127C24132yes—
1215#127C24116yes—
1216#127C24116yescomplemented
1217#127C24116yescomplemented
1218#127C24116yescomplemented
1219#127C24116yescomplemented
1220#127C24132yescomplemented
1221#127C24132yescomplemented
1222#126C24116yes—
1223#126C24132yes—
1224#126C24132yes—
1225#126C24132yes—
1226#126C24116yes—
1227#126C24116yes—
1228#126C24132yes—
1229#126C24132yes—
1230#126C24132yescomplemented
1231#126C24132yescomplemented
1232#126C24132yescomplemented
1233#126C24132yescomplemented
1234#126C24116yescomplemented
1235#126C24132yescomplemented
1236#126C24116yescomplemented
1237#126C24116yescomplemented
1238#126C24132yescomplemented
1239#126C24132yescomplemented
1240#126C24132yescomplemented
1241#126C24132yescomplemented
1242#126C24132yescomplemented
1243#126C24132yescomplemented
1244#125C24132yescomplemented
1245#125C24116yescomplemented
1246#125C24116yescomplemented
1247#125C24116yescomplemented
1248#125C24116yescomplemented
1249#125C24116yescomplemented
1250#125C24132yescomplemented
1251#125C24132yescomplemented
1252#125C24132yescomplemented
1253#124C24116yes—
1254#124C24116yes—
1255#124C24116yes—
1256#124C24116yes—
1257#124C24116yes—
1258#124C2418yes—
1259#124C24116yes—
1260#124C24116yes—
1261#124C24116yes—
1262#124C24132yes—
1263#124C24132yes—
1264#124C24132yes—
1265#124C24132yes—
1266#124C24116yes—
1267#124C24132yes—
1268#124C24132yescomplemented
1269#124C24116yescomplemented
1270#124C24116yescomplemented
1271#124C2418yescomplemented
1272#124C24132yescomplemented
1273#124C24116yescomplemented
1274#124C24116yescomplemented
1275#124C24132yescomplemented
1276#124C24132yescomplemented
1277#124C24132yescomplemented
1278#123C2418yes—
1279#123C24116yes—
1280#123C24116yes—
1281#123C24132yes—
1282#123C24132yes—
1283#123C24132yes—
1284#123C24132yes—
1285#123C24132yes—
1286#123C24132yes—
1287#123C24116yes—
1288#123C2418yes—
1289#123C24116yes—
1290#123C24116yes—
1291#123C2418yes—
1292#123C24132yes—
1293#123C24116yes—
1294#123C24132yes—
1295#123C24116yes—
1296#123C24116yes—
1297#123C24132yes—
1298#123C24132yes—
1299#123C24132yes—
1300#123C24132yes—
1301#123C24132yes—
1302#123C24132yes—
1303#123C24116yescomplemented
1304#123C2418yescomplemented
1305#123C24132yescomplemented
1306#123C24116yescomplemented
1307#123C24116yescomplemented
1308#123C24116yescomplemented
1309#123C24132yescomplemented
1310#123C24132yescomplemented
1311#123C24132yescomplemented
1312#123C24132yescomplemented
1313#123C24132yescomplemented
1314#123C24116yescomplemented
1315#123C24132yescomplemented
1316#123C24132yescomplemented
1317#123C24132yescomplemented
1318#123C24116yescomplemented
1319#123C24132yescomplemented
1320#123C24132yescomplemented
1321#123C24116yescomplemented
1322#123C24116yescomplemented
1323#123C24132yescomplemented
1324#123C24132yescomplemented
1325#123C24132yescomplemented
1326#123C24132yescomplemented
1327#123C24132yescomplemented
1328#123C24132yescomplemented
1329#123C24132yescomplemented
1330#123C24132yescomplemented
1331#123C24132yescomplemented
1332#123C24132yescomplemented
1333#123C24132yescomplemented
1334#123C24132yescomplemented
1335C22⋊Q8C24116yes—
1336C22⋊Q8C24116yes—
1337C22⋊Q8C24116yes—
1338C22⋊Q8C24116yes—
1339C22⋊Q8C24116yes—
1340C22⋊Q8C24116yes—
1341C22⋊Q8C24116yescomplemented
1342C22⋊Q8C24116yescomplemented
1343C22⋊Q8C24132yescomplemented
1344C22⋊Q8C24116yescomplemented
1345C22⋊Q8C24132yescomplemented
1346C22⋊Q8C24116yescomplemented
1347C22⋊Q8C24132yescomplemented
1348C22⋊Q8C24116yescomplemented
1349C22⋊Q8C24132yescomplemented
1350C22⋊Q8C24116yescomplemented
1351C22⋊Q8C24116yescomplemented
1352C22⋊Q8C24116yescomplemented
1353C22⋊Q8C24132yescomplemented
1354C22⋊Q8C24116yescomplemented
1355C22⋊Q8C24132yescomplemented
1356C22⋊Q8C24132yescomplemented
1357C22⋊Q8C24132yescomplemented
1358C22⋊Q8C24132yescomplemented
1359C22⋊Q8C24132yescomplemented
1360C22⋊Q8C24132yescomplemented
1361C22⋊Q8C24132yescomplemented
1362C22⋊Q8C24132yescomplemented
1363#121C24116yes—
1364#121C24116yes—
1365#121C24116yes—
1366#121C24132yes—
1367#121C24132yes—
1368#121C24132yes—
1369#121C24132yes—
1370#121C24132yes—
1371#121C24132yes—
1372#121C24116yes—
1373#121C24132yes—
1374#121C24116yes—
1375#121C24132yes—
1376#121C24132yes—
1377#121C24132yes—
1378#121C24132yes—
1379#121C24132yes—
1380#121C24116yes—
1381#121C24132yes—
1382#121C24116yes—
1383#121C24116yes—
1384#121C24116yes—
1385#121C24116yes—
1386#121C24116yes—
1387#121C24116yes—
1388#121C24116yes—
1389#121C24116yes—
1390#121C24132yes—
1391#121C24116yes—
1392#121C24116yes—
1393#121C24116yes—
1394#121C24116yes—
1395#121C24116yes—
1396#121C24132yes—
1397#121C24116yes—
1398#121C24116yes—
1399#121C24132yes—
1400#121C24132yes—
1401#121C24132yes—
1402#121C24132yes—
1403#121C24132yes—
1404#121C24132yes—
1405#121C24132yes—
1406#121C24132yes—
1407#121C24132yes—
1408#121C24132yes—
1409#121C24132yes—
1410#121C24132yes—
1411#121C24132yes—
1412#121C24132yes—
1413#121C24132yes—
1414#121C24132yescomplemented
1415#121C24132yescomplemented
1416#121C24116yescomplemented
1417#121C24132yescomplemented
1418#121C24132yescomplemented
1419#121C24132yescomplemented
1420#121C24132yescomplemented
1421#121C24132yescomplemented
1422#121C24132yescomplemented
1423#121C24132yescomplemented
1424#121C24132yescomplemented
1425#121C24116yescomplemented
1426#121C24132yescomplemented
1427#121C24132yescomplemented
1428#121C24132yescomplemented
1429#121C24116yescomplemented
1430#121C24132yescomplemented
1431#121C24132yescomplemented
1432#121C24132yescomplemented
1433#121C24132yescomplemented
1434#121C24132yescomplemented
1435#121C24132yescomplemented
1436#121C24132yescomplemented
1437#121C24116yescomplemented
1438#121C24116yescomplemented
1439#121C24132yescomplemented
1440#121C24116yescomplemented
1441#121C24132yescomplemented
1442#121C24132yescomplemented
1443#121C24132yescomplemented
1444#121C24132yescomplemented
1445#121C24132yescomplemented
1446#121C24132yescomplemented
1447#121C24132yescomplemented
1448#121C24132yescomplemented
1449#121C24132yescomplemented
1450#121C24132yescomplemented
1451#121C24132yescomplemented
1452#121C24132yescomplemented
1453#121C24132yescomplemented
1454#120C24116yes—
1455#120C24116yes—
1456#120C24132yes—
1457#120C24116yes—
1458#120C2418yes—
1459#120C2418yes—
1460#120C24116yes—
1461#120C24132yes—
1462#120C24132yes—
1463#120C24116yes—
1464#120C24132yes—
1465#120C24116yes—
1466#120C24132yes—
1467#120C24116yes—
1468#120C24132yes—
1469#120C24132yes—
1470#120C24132yes—
1471#120C24132yes—
1472#120C24132yes—
1473#120C24132yes—
1474#120C24132yes—
1475#120C24132yes—
1476#120C24132yes—
1477#120C24132yes—
1478#120C24132yes—
1479#120C24132yes—
1480#120C24132yes—
1481#120C2418yes—
1482#120C24116yes—
1483#120C24132yes—
1484#120C24132yes—
1485#120C24132yes—
1486#120C24116yes—
1487#120C24132yes—
1488#120C24132yes—
1489#120C24132yes—
1490#120C24116yescomplemented
1491#120C2418yescomplemented
1492#120C24132yescomplemented
1493#120C24132yescomplemented
1494#120C24116yescomplemented
1495#120C24132yescomplemented
1496#120C24132yescomplemented
1497#120C24132yescomplemented
1498#120C24132yescomplemented
1499#120C24132yescomplemented
1500#120C24132yescomplemented
1501#120C24132yescomplemented
1502#120C24132yescomplemented
1503#120C24116yescomplemented
1504C4×Q8C24116yescomplemented
1505C4×Q8C24116yescomplemented
1506C4×Q8C24116yescomplemented
1507C4×Q8C24116yescomplemented
1508C4×Q8C24132yescomplemented
1509C4×D4C24116yes—
1510C4×D4C24116yes—
1511C4×D4C24116yes—
1512C4×D4C24132yes—
1513C4×D4C24132yes—
1514C4×D4C24132yes—
1515C4×D4C24116yes—
1516C4×D4C24116yes—
1517C4×D4C24116yes—
1518C4×D4C24116yes—
1519C4×D4C24116yes—
1520C4×D4C24116yes—
1521C4×D4C24116yes—
1522C4×D4C24116yes—
1523C4×D4C24116yes—
1524C4×D4C24132yes—
1525C4×D4C24132yes—
1526C4×D4C24132yes—
1527C4×D4C24132yescomplemented
1528C4×D4C24132yescomplemented
1529C4×D4C24116yescomplemented
1530C4×D4C24116yescomplemented
1531C4×D4C24132yescomplemented
1532C4×D4C24132yescomplemented
1533C4×D4C24116yescomplemented
1534C4×D4C24132yescomplemented
1535C4×D4C24132yescomplemented
1536C4×D4C24116yescomplemented
1537C4×D4C24116yescomplemented
1538C4×D4C24116yescomplemented
1539C4×D4C24132yescomplemented
1540C4×D4C24132yescomplemented
1541C4×D4C24132yescomplemented
1542C4×D4C24132yescomplemented
1543C4×D4C24132yescomplemented
1544C4×D4C24132yescomplemented
1545C4×D4C24132yescomplemented
1546C4×D4C24132yescomplemented
1547C4×D4C24132yescomplemented
1548C4×D4C24132yescomplemented
1549C4×D4C24132yescomplemented
1550C4×D4C24132yescomplemented
1551C4×D4C24132yescomplemented
1552C4×D4C24132yescomplemented
1553C4×D4C24132yescomplemented
1554C4×D4C24132yescomplemented
1555C4×D4C24132yescomplemented
1556#117C24116yes—
1557#117C2418yes—
1558#117C2418yes—
1559#117C24116yes—
1560#117C24116yescomplemented
1561#117C2418yescomplemented
1562#117C2418yescomplemented
1563#117C2418yescomplemented
1564#117C24116yescomplemented
1565#117C24132yescomplemented
1566#117C24132yescomplemented
1567#117C24132yescomplemented
1568#117C24132yescomplemented
1569#117C24132yescomplemented
1570#117C24132yescomplemented
1571#117C24132yescomplemented
1572C2×C4⋊C4C2412yes—
1573C2×C4⋊C4C2414yes—
1574C2×C4⋊C4C2412yes—
1575C2×C4⋊C4C2412yes—
1576C2×C4⋊C4C2412yes—
1577C2×C4⋊C4C2412yes—
1578C2×C4⋊C4C2414yes—
1579C2×C4⋊C4C2414yes—
1580C2×C4⋊C4C2412yes—
1581C2×C4⋊C4C2412yes—
1582C2×C4⋊C4C2412yes—
1583C2×C4⋊C4C2414yes—
1584C2×C4⋊C4C2414yes—
1585C2×C4⋊C4C2414yes—
1586C2×C4⋊C4C2414yes—
1587C2×C4⋊C4C2414yes—
1588C2×C4⋊C4C2414yes—
1589C2×C4⋊C4C2414yes—
1590C2×C4⋊C4C2414yes—
1591C2×C4⋊C4C2414yes—
1592C2×C4⋊C4C2414yes—
1593C2×C4⋊C4C2414yes—
1594C2×C4⋊C4C2412yes—
1595C2×C4⋊C4C2412yes—
1596C2×C4⋊C4C2412yes—
1597C2×C4⋊C4C2412yes—
1598C2×C4⋊C4C2412yes—
1599C2×C4⋊C4C2414yes—
1600C2×C4⋊C4C2412yes—
1601C2×C4⋊C4C2412yes—
1602C2×C4⋊C4C2414yes—
1603C2×C4⋊C4C2412yes—
1604C2×C4⋊C4C2412yes—
1605C2×C4⋊C4C2414yes—
1606C2×C4⋊C4C2412yes—
1607C2×C4⋊C4C2412yes—
1608C2×C4⋊C4C2414yes—
1609C2×C4⋊C4C2412yes—
1610C2×C4⋊C4C2412yes—
1611C2×C4⋊C4C24116yescomplemented
1612C2×C4⋊C4C24132yescomplemented
1613C2×C4⋊C4C24116yescomplemented
1614C2×C4⋊C4C24132yescomplemented
1615C2×C4⋊C4C24132yescomplemented
1616C2×C4⋊C4C24132yescomplemented
1617C2×C4⋊C4C24132yescomplemented
1618C2×C22⋊C4C2412yes—
1619C2×C22⋊C4C2412yes—
1620C2×C22⋊C4C2414yes—
1621C2×C22⋊C4C2412yes—
1622C2×C22⋊C4C2411yescharacteristic
1623C2×C22⋊C4C2411yescharacteristic
1624C2×C22⋊C4C2412yes—
1625C2×C22⋊C4C2414yes—
1626C2×C22⋊C4C2414yes—
1627C2×C22⋊C4C2412yes—
1628C2×C22⋊C4C2412yes—
1629C2×C22⋊C4C2412yes—
1630C2×C22⋊C4C2414yes—
1631C2×C22⋊C4C2412yes—
1632C2×C22⋊C4C2412yes—
1633C2×C22⋊C4C2414yes—
1634C2×C22⋊C4C2414yes—
1635C2×C22⋊C4C2414yes—
1636C2×C22⋊C4C2414yes—
1637C2×C22⋊C4C2414yes—
1638C2×C22⋊C4C2414yes—
1639C2×C22⋊C4C2414yes—
1640C2×C22⋊C4C2414yes—
1641C2×C22⋊C4C2414yes—
1642C2×C22⋊C4C2414yes—
1643C2×C22⋊C4C2414yes—
1644C2×C22⋊C4C2414yes—
1645C2×C22⋊C4C2414yes—
1646C2×C22⋊C4C2414yes—
1647C2×C22⋊C4C2414yes—
1648C2×C22⋊C4C2414yes—
1649C2×C22⋊C4C2414yes—
1650C2×C22⋊C4C2414yes—
1651C2×C22⋊C4C24132yes—
1652C2×C22⋊C4C24116yes—
1653C2×C22⋊C4C24116yes—
1654C2×C22⋊C4C24132yes—
1655C2×C22⋊C4C24132yes—
1656C2×C22⋊C4C24132yes—
1657C2×C22⋊C4C24132yes—
1658C2×C22⋊C4C24132yes—
1659C2×C22⋊C4C24132yes—
1660C2×C22⋊C4C24132yes—
1661C2×C22⋊C4C2411yescharacteristic
1662C2×C22⋊C4C2411yescharacteristic
1663C2×C22⋊C4C2412yes—
1664C2×C22⋊C4C2412yes—
1665C2×C22⋊C4C2414yes—
1666C2×C22⋊C4C2412yes—
1667C2×C22⋊C4C2412yes—
1668C2×C22⋊C4C2414yes—
1669C2×C22⋊C4C2414yes—
1670C2×C22⋊C4C2412yes—
1671C2×C22⋊C4C2414yes—
1672C2×C22⋊C4C2414yes—
1673C2×C22⋊C4C2414yes—
1674C2×C22⋊C4C2414yes—
1675C2×C22⋊C4C2414yes—
1676C2×C22⋊C4C2414yes—
1677C2×C22⋊C4C2414yes—
1678C2×C22⋊C4C2412yes—
1679C2×C22⋊C4C2412yes—
1680C2×C22⋊C4C2412yes—
1681C2×C22⋊C4C2412yes—
1682C2×C22⋊C4C2412yes—
1683C2×C22⋊C4C2414yes—
1684C2×C22⋊C4C2412yes—
1685C2×C22⋊C4C2412yes—
1686C2×C22⋊C4C2414yes—
1687C2×C22⋊C4C2412yes—
1688C2×C22⋊C4C2412yes—
1689C2×C22⋊C4C2412yes—
1690C2×C22⋊C4C2414yes—
1691C2×C22⋊C4C2414yes—
1692C2×C22⋊C4C2412yes—
1693C2×C22⋊C4C24132yescomplemented
1694C2×C22⋊C4C24116yescomplemented
1695C2×C22⋊C4C24116yescomplemented
1696C2×C22⋊C4C24132yescomplemented
1697C2×C22⋊C4C24132yescomplemented
1698C2×C22⋊C4C24132yescomplemented
1699C2×C22⋊C4C24132yescomplemented
1700C2×C22⋊C4C24132yescomplemented
1701C2×C42C2412yes—
1702C2×C42C2414yes—
1703C2×C42C2412yes—
1704C2×C42C2412yes—
1705C2×C42C2412yes—
1706C2×C42C2411yescharacteristic
1707C2×C42C2412yes—
1708C2×C42C2414yes—
1709C2×C42C2414yes—
1710C2×C42C2412yes—
1711C2×C42C2414yes—
1712C2×C42C2412yes—
1713C2×C42C2412yes—
1714C2×C42C2411yescharacteristic
1715C2×C42C24116yescomplemented
1716C2×C42C24116yescomplemented
1717C2×C42C2418yescomplemented
1718C24—28no—
1719C24—216no—
1720C24—216no—
1721C24—28no—
1722C24—42no—
1723C24—44no—
1724C24—42no—
1725C24—48no—
1726C24—44no—
1727C24—48no—
1728C24—432no—
1729C24—48no—
1730C24—48no—
1731C24—44no—
1732C24—48no—
1733C24—48no—
1734C24—48no—
1735C24—48no—
1736C24—48no—
1737C24—48no—
1738C24—48no—
1739C24—44no—
1740C24—44no—
1741C24—48no—
1742C24—48no—
1743C24—48no—
1744C24—48no—
1745C24—832no—
1746C24—864no—
1747C24C2512yes—
1748C24C2511yescharacteristic
1749C24C2511yescharacteristic
1750C24C2514yes—
1751C24C2512yes—
1752C24C2511yescharacteristic
1753C24C2512yes—
1754C24C2514yes—
1755C24C2512yes—
1756C24C2512yes—
1757C24C2512yes—
1758C24C25116yes—
1759C24C2518yes—
1760C24C2518yes—
1761C24C25116yes—
1762C24C2518yes—
1763C24C25116yes—
1764C24C2518yes—
1765C24C2518yes—
1766C24C25116yes—
1767C24C2514yes—
1768C24C2514yes—
1769#41—264no—
1770#41—232no—
1771#41—416no—
1772#41—432no—
1773#41—416no—
1774#41—464no—
1775#41—464no—
1776#41—432no—
1777#41—432no—
1778#41—432no—
1779#41—432no—
1780#41—416no—
1781#41—416no—
1782#41—432no—
1783#41—432no—
1784#41—832no—
1785#41—832no—
1786#41—832no—
1787C2×Q8—28no—
1788C2×Q8—24no—
1789C2×Q8—44no—
1790C2×Q8—44no—
1791C2×Q8—42no—
1792C2×Q8—42no—
1793C2×Q8—44no—
1794C2×Q8—48no—
1795C2×Q8—416no—
1796C2×Q8C2518yes—
1797C2×Q8C2514yes—
1798C2×Q8C2518yes—
1799C2×Q8C25116yes—
1800C2×Q8C2518yes—
1801C2×Q8C2514yes—
1802C2×Q8C2518yes—
1803C2×Q8C2514yes—
1804C2×D4—28no—
1805C2×D4—216no—
1806C2×D4—216no—
1807C2×D4—28no—
1808C2×D4—28no—
1809C2×D4—216no—
1810C2×D4—232no—
1811C2×D4—264no—
1812C2×D4—232no—
1813C2×D4—264no—
1814C2×D4—28no—
1815C2×D4—24no—
1816C2×D4—28no—
1817C2×D4—24no—
1818C2×D4—416no—
1819C2×D4—432no—
1820C2×D4—432no—
1821C2×D4—416no—
1822C2×D4—416no—
1823C2×D4—48no—
1824C2×D4—44no—
1825C2×D4—44no—
1826C2×D4—48no—
1827C2×D4—42no—
1828C2×D4—42no—
1829C2×D4—44no—
1830C2×D4—44no—
1831C2×D4—42no—
1832C2×D4—44no—
1833C2×D4—44no—
1834C2×D4—44no—
1835C2×D4—42no—
1836C2×D4—44no—
1837C2×D4—44no—
1838C2×D4—48no—
1839C2×D4—48no—
1840C2×D4—48no—
1841C2×D4—48no—
1842C2×D4—464no—
1843C2×D4—432no—
1844C2×D4—432no—
1845C2×D4—44no—
1846C2×D4—48no—
1847C2×D4—48no—
1848C2×D4—48no—
1849C2×D4—48no—
1850C2×D4—44no—
1851C2×D4—48no—
1852C2×D4—44no—
1853C2×D4—48no—
1854C2×D4—44no—
1855C2×D4—44no—
1856C2×D4—48no—
1857C2×D4—44no—
1858C2×D4—48no—
1859C2×D4—48no—
1860C2×D4—44no—
1861C2×D4—48no—
1862C2×D4—48no—
1863C2×D4—48no—
1864C2×D4—44no—
1865C2×D4—48no—
1866C2×D4—48no—
1867C2×D4—48no—
1868C2×D4—48no—
1869C2×D4—48no—
1870C2×D4—48no—
1871C2×D4—48no—
1872C2×D4—48no—
1873C2×D4—44no—
1874C2×D4—432no—
1875C2×D4—464no—
1876C2×D4—432no—
1877C2×D4—464no—
1878C2×D4—464no—
1879C2×D4—432no—
1880C2×D4—432no—
1881C2×D4—464no—
1882C2×D4—832no—
1883C2×D4—832no—
1884C2×D4—832no—
1885C2×D4—832no—
1886C2×D4—832no—
1887C2×D4—832no—
1888C2×D4—832no—
1889C2×D4—832no—
1890C2×D4—832no—
1891C2×D4—832no—
1892C2×D4H(5,𝔽2)18yes—
1893C2×D4C25116yes—
1894C2×D4C2518yes—
1895C2×D4C2514yes—
1896C2×D4C2518yes—
1897C2×D4C2518yes—
1898C2×D4C25116yes—
1899C2×D4C25116yes—
1900C2×D4C2518yes—
1901C2×D4C2518yes—
1902C2×D4C2514yes—
1903C2×D4C2518yes—
1904C2×D4C2518yes—
1905C2×D4C2518yes—
1906C2×D4C25116yes—
1907C2×D4C2518yes—
1908C2×D4C25116yes—
1909C2×D4C2518yes—
1910C2×D4C25116yes—
1911C2×D4C2518yes—
1912C2×D4C25116yes—
1913C2×D4C25116yes—
1914C2×D4C25116yes—
1915C2×D4C25116yes—
1916C2×D4C25116yes—
1917C2×D4C25116yes—
1918C2×D4C25116yes—
1919C2×D4C25116yes—
1920C2×D4C25116yes—
1921C2×D4C25116yes—
1922C2×D4C25116yes—
1923C2×D4C25116yes—
1924C2×D4C2518yes—
1925C2×D4C2518yes—
1926C2×D4C25116yes—
1927C2×D4C25116yes—
1928C2×D4C25116yes—
1929C2×D4C25116yes—
1930C2×D4C2518yes—
1931C2×D4C25116yes—
1932C2×D4C2514yes—
1933C2×D4C2518yes—
1934C2×D4C25116yes—
1935C2×D4C2514yes—
1936C2×D4C2518yes—
1937C2×D4C2518yes—
1938C2×D4C25116yes—
1939C2×D4C2518yes—
1940C2×D4C25116yes—
1941C2×D4C2518yes—
1942C2×D4C25116yes—
1943C2×D4C2518yes—
1944C2×D4C25116yes—
1945C2×D4C2514yes—
1946C2×D4C2518yes—
1947C2×D4C2518yes—
1948C2×D4C2518yes—
1949C2×D4C25116yes—
1950C2×D4C2514yes—
1951C2×D4C2514yes—
1952C22×C4—216no—
1953C22×C4—28no—
1954C22×C4—28no—
1955C22×C4—24no—
1956C22×C4—24no—
1957C22×C4—28no—
1958C22×C4—28no—
1959C22×C4—24no—
1960C22×C4—416no—
1961C22×C4—416no—
1962C22×C4—42no—
1963C22×C4—44no—
1964C22×C4—42no—
1965C22×C4—44no—
1966C22×C4—44no—
1967C22×C4—48no—
1968C22×C4—432no—
1969C22×C4—44no—
1970C22×C4—48no—
1971C22×C4—48no—
1972C22×C4—48no—
1973C22×C4—48no—
1974C22×C4—48no—
1975C22×C4—44no—
1976C22×C4—48no—
1977C22×C4—48no—
1978C22×C4—48no—
1979C22×C4—44no—
1980C22×C4—48no—
1981C22×C4—44no—
1982C22×C4—48no—
1983C22×C4—48no—
1984C22×C4—48no—
1985C22×C4—48no—
1986C22×C4—48no—
1987C22×C4—44no—
1988C22×C4—832no—
1989C22×C4C2518yes—
1990C22×C4C2518yes—
1991C22×C4C2514yes—
1992C22×C4C25116yes—
1993C22×C4C2518yes—
1994C22×C4C2518yes—
1995C22×C4C2514yes—
1996C22×C4C2514yes—
1997C22×C4C2512yes—
1998C22×C4C2514yes—
1999C22×C4C2512yes—
2000C22×C4C2512yes—
2001C22×C4C2511yescharacteristic
2002C22×C4C2514yes—
2003C22×C4C2512yes—
2004C22×C4C2512yes—
2005C22×C4C2511yescharacteristic
2006C22×C4C2514yes—
2007C22×C4C2512yes—
2008C22×C4C2512yes—
2009C22×C4C2514yes—
2010C22×C4C2511yescharacteristic
2011C22×C4C2512yes—
2012C22×C4C2512yes—
2013C22×C4C2512yes—
2014C22×C4C25116yes—
2015C22×C4C2518yes—
2016C22×C4C2518yes—
2017C22×C4C2518yes—
2018C22×C4C25116yes—
2019C22×C4C25116yes—
2020C22×C4C25116yes—
2021C22×C4C25116yes—
2022C22×C4C25116yes—
2023C22×C4C2518yes—
2024C22×C4C25116yes—
2025C22×C4C25116yes—
2026C22×C4C25116yes—
2027C22×C4C2518yes—
2028C22×C4C25116yes—
2029C22×C4C25116yes—
2030C22×C4C25116yes—
2031C22×C4C25116yes—
2032C22×C4C25116yes—
2033C22×C4C2518yes—
2034C22×C4C25116yes—
2035C22×C4C2518yes—
2036C22×C4C2514yes—
2037C22×C4C2518yes—
2038C22×C4C2514yes—
2039C22×C4C2511yescharacteristic
2040C4⋊C4C2518yes—
2041C4⋊C4C25116yes—
2042C4⋊C4C2518yes—
2043C4⋊C4C2518yes—
2044C4⋊C4C2518yes—
2045C4⋊C4C2518yes—
2046C4⋊C4C25116yes—
2047C4⋊C4C25116yes—
2048C4⋊C4C2518yes—
2049C4⋊C4C2518yes—
2050C4⋊C4C2518yes—
2051C4⋊C4C25116yes—
2052C4⋊C4C25116yes—
2053C4⋊C4C25116yes—
2054C4⋊C4C25116yes—
2055C4⋊C4C25116yes—
2056C4⋊C4C25116yes—
2057C4⋊C4C25116yes—
2058C4⋊C4C25116yes—
2059C4⋊C4C25116yes—
2060C4⋊C4C25116yes—
2061C4⋊C4C25116yes—
2062C4⋊C4C2518yes—
2063C4⋊C4C2518yes—
2064C4⋊C4C2518yes—
2065C4⋊C4C2518yes—
2066C4⋊C4C2518yes—
2067C4⋊C4C25116yes—
2068C4⋊C4C2518yes—
2069C4⋊C4C2518yes—
2070C4⋊C4C25116yes—
2071C4⋊C4C2518yes—
2072C4⋊C4C2518yes—
2073C4⋊C4C25116yes—
2074C4⋊C4C2518yes—
2075C4⋊C4C2518yes—
2076C4⋊C4C25116yes—
2077C4⋊C4C2518yes—
2078C4⋊C4C2518yes—
2079C22⋊C4C2518yes—
2080C22⋊C4C2518yes—
2081C22⋊C4C25116yes—
2082C22⋊C4C2518yes—
2083C22⋊C4C2514yes—
2084C22⋊C4C2514yes—
2085C22⋊C4C2518yes—
2086C22⋊C4C25116yes—
2087C22⋊C4C25116yes—
2088C22⋊C4C2518yes—
2089C22⋊C4C2518yes—
2090C22⋊C4C2518yes—
2091C22⋊C4C25116yes—
2092C22⋊C4C2518yes—
2093C22⋊C4C2518yes—
2094C22⋊C4C25116yes—
2095C22⋊C4C25116yes—
2096C22⋊C4C25116yes—
2097C22⋊C4C25116yes—
2098C22⋊C4C25116yes—
2099C22⋊C4C25116yes—
2100C22⋊C4C25116yes—
2101C22⋊C4C25116yes—
2102C22⋊C4C25116yes—
2103C22⋊C4C25116yes—
2104C22⋊C4C25116yes—
2105C22⋊C4C25116yes—
2106C22⋊C4C25116yes—
2107C22⋊C4C25116yes—
2108C22⋊C4C25116yes—
2109C22⋊C4C25116yes—
2110C22⋊C4C25116yes—
2111C22⋊C4C25116yes—
2112C22⋊C4C2514yes—
2113C22⋊C4C2514yes—
2114C22⋊C4C2518yes—
2115C22⋊C4C2518yes—
2116C22⋊C4C25116yes—
2117C22⋊C4C2518yes—
2118C22⋊C4C2518yes—
2119C22⋊C4C25116yes—
2120C22⋊C4C25116yes—
2121C22⋊C4C2518yes—
2122C22⋊C4C25116yes—
2123C22⋊C4C25116yes—
2124C22⋊C4C25116yes—
2125C22⋊C4C25116yes—
2126C22⋊C4C25116yes—
2127C22⋊C4C25116yes—
2128C22⋊C4C25116yes—
2129C22⋊C4C2518yes—
2130C22⋊C4C2518yes—
2131C22⋊C4C2518yes—
2132C22⋊C4C2518yes—
2133C22⋊C4C2518yes—
2134C22⋊C4C25116yes—
2135C22⋊C4C2518yes—
2136C22⋊C4C2518yes—
2137C22⋊C4C25116yes—
2138C22⋊C4C2518yes—
2139C22⋊C4C2518yes—
2140C22⋊C4C2518yes—
2141C22⋊C4C25116yes—
2142C22⋊C4C25116yes—
2143C22⋊C4C2518yes—
2144C42C2514yes—
2145C42C2518yes—
2146C42C2518yes—
2147C42C2518yes—
2148C42C2514yes—
2149C42C2518yes—
2150C42C25116yes—
2151C42C2518yes—
2152C42C2518yes—
2153C42C2518yes—
2154C42C25116yes—
2155C42C2518yes—
2156C42C25116yes—
2157C42C25116yes—
2158C23—28no—
2159C23—22no—
2160C23—24no—
2161C23—24no—
2162C23—22no—
2163C23—22no—
2164C23—24no—
2165C23—24no—
2166C23—28no—
2167C23—28no—
2168C23—24no—
2169C23—24no—
2170C23—28no—
2171C23—24no—
2172C23—24no—
2173C23—28no—
2174C23—28no—
2175C23—28no—
2176C23—28no—
2177C23—24no—
2178C23—24no—
2179C23—24no—
2180C23—28no—
2181C23—24no—
2182C23—24no—
2183C23—24no—
2184C23—216no—
2185C23—232no—
2186C23—232no—
2187C23—216no—
2188C23—44no—
2189C23—48no—
2190C23—44no—
2191C23—416no—
2192C23—48no—
2193C23—416no—
2194C23—416no—
2195C23—416no—
2196C23—48no—
2197C23—416no—
2198C23—416no—
2199C23—416no—
2200C23—416no—
2201C23—416no—
2202C23—416no—
2203C23—416no—
2204C23—48no—
2205C23—48no—
2206C23—416no—
2207C23—416no—
2208C23—416no—
2209C23—416no—
2210C23—416no—
2211C23—832no—
2212C23—816no—
2213C23—816no—
2214C23—832no—
2215C23—88no—
2216C23—832no—
2217C23—816no—
2218C23—8128no—
2219C23—168no—
2220C23—1616no—
2221C23—168no—
2222C23C2×H(5,𝔽2)18yes—
2223C23C2614yes—
2224C23C2612yes—
2225C23C2612yes—
2226C23C2618yes—
2227C23C2614yes—
2228C23C2612yes—
2229C23C2614yes—
2230C23C2618yes—
2231C23C2614yes—
2232C23C2614yes—
2233C23C2614yes—
2234C23C2611yescharacteristic
2235Q8—216no—
2236Q8—28no—
2237Q8—48no—
2238Q8—48no—
2239Q8—44no—
2240Q8—44no—
2241Q8—48no—
2242Q8—416no—
2243D4—216no—
2244D4—232no—
2245D4—232no—
2246D4—216no—
2247D4—216no—
2248D4—232no—
2249D4—216no—
2250D4—28no—
2251D4—216no—
2252D4—28no—
2253D4—416no—
2254D4—48no—
2255D4—48no—
2256D4—416no—
2257D4—44no—
2258D4—44no—
2259D4—48no—
2260D4—48no—
2261D4—44no—
2262D4—48no—
2263D4—48no—
2264D4—48no—
2265D4—44no—
2266D4—48no—
2267D4—48no—
2268D4—416no—
2269D4—416no—
2270D4—416no—
2271D4—416no—
2272D4—48no—
2273D4—416no—
2274D4—416no—
2275D4—416no—
2276D4—416no—
2277D4—48no—
2278D4—416no—
2279D4—48no—
2280D4—416no—
2281D4—48no—
2282D4—48no—
2283D4—416no—
2284D4—48no—
2285D4—416no—
2286D4—416no—
2287D4—48no—
2288D4—416no—
2289D4—416no—
2290D4—416no—
2291D4—48no—
2292D4—416no—
2293D4—416no—
2294D4—416no—
2295D4—416no—
2296D4—416no—
2297D4—416no—
2298D4—416no—
2299D4—416no—
2300D4—48no—
2301D4C2×H(5,𝔽2)116yes—
2302C2×C4—24no—
2303C2×C4—22no—
2304C2×C4—22no—
2305C2×C4—24no—
2306C2×C4—24no—
2307C2×C4—22no—
2308C2×C4—24no—
2309C2×C4—28no—
2310C2×C4—232no—
2311C2×C4—216no—
2312C2×C4—24no—
2313C2×C4—28no—
2314C2×C4—24no—
2315C2×C4—28no—
2316C2×C4—24no—
2317C2×C4—24no—
2318C2×C4—28no—
2319C2×C4—24no—
2320C2×C4—24no—
2321C2×C4—216no—
2322C2×C4—28no—
2323C2×C4—28no—
2324C2×C4—216no—
2325C2×C4—216no—
2326C2×C4—28no—
2327C2×C4—44no—
2328C2×C4—48no—
2329C2×C4—44no—
2330C2×C4—48no—
2331C2×C4—48no—
2332C2×C4—416no—
2333C2×C4—48no—
2334C2×C4—416no—
2335C2×C4—416no—
2336C2×C4—416no—
2337C2×C4—416no—
2338C2×C4—416no—
2339C2×C4—48no—
2340C2×C4—416no—
2341C2×C4—416no—
2342C2×C4—416no—
2343C2×C4—48no—
2344C2×C4—416no—
2345C2×C4—48no—
2346C2×C4—416no—
2347C2×C4—416no—
2348C2×C4—416no—
2349C2×C4—416no—
2350C2×C4—416no—
2351C2×C4—48no—
2352C2×C4C2×H(5,𝔽2)14yes—
2353C2×C4C2614yes—
2354C2×C4C2614yes—
2355C2×C4C2618yes—
2356C2×C4C2614yes—
2357C2×C4C2612yes—
2358C2×C4C2614yes—
2359C2×C4C2614yes—
2360C2×C4C2618yes—
2361C2×C4C2612yes—
2362C2×C4C2614yes—
2363C2×C4C2618yes—
2364C2×C4C2614yes—
2365C2×C4C2618yes—
2366C2×C4C2612yes—
2367C2×C4C2614yes—
2368C2×C4C2614yes—
2369C2×C4C2614yes—
2370C2×C4C2612yes—
2371C22—216no—
2372C22—28no—
2373C22—22no—
2374C22—24no—
2375C22—24no—
2376C22—22no—
2377C22—22no—
2378C22—24no—
2379C22—24no—
2380C22—28no—
2381C22—28no—
2382C22—24no—
2383C22—24no—
2384C22—28no—
2385C22—24no—
2386C22—24no—
2387C22—28no—
2388C22—28no—
2389C22—28no—
2390C22—28no—
2391C22—24no—
2392C22—24no—
2393C22—24no—
2394C22—28no—
2395C22—24no—
2396C22—24no—
2397C22—24no—
2398C22—416no—
2399C22—48no—
2400C22—44no—
2401C22—48no—
2402C22—44no—
2403C22—48no—
2404C22—416no—
2405C22—48no—
2406C22—48no—
2407C22—416no—
2408C22—44no—
2409C22—832no—
2410C22—816no—
2411C22—816no—
2412C22—832no—
2413C22—88no—
2414C22—832no—
2415C22—816no—
2416C22—168no—
2417C22—1616no—
2418C22—168no—
2419C22C22×H(5,𝔽2)18yes—
2420C22C22×H(5,𝔽2)12yes—
2421C22H(7,𝔽2)14yes—
2422C22C2711yescharacteristic
2423C4—24no—
2424C4—22no—
2425C4—22no—
2426C4—24no—
2427C4—24no—
2428C4—22no—
2429C4—24no—
2430C4—28no—
2431C4—24no—
2432C4—28no—
2433C4—24no—
2434C4—28no—
2435C4—24no—
2436C4—24no—
2437C4—28no—
2438C4—24no—
2439C4—24no—
2440C4C22×H(5,𝔽2)14yes—
2441C2—28no—
2442C2—44no—
2443C2—42no—
2444C2—44no—
2445C2—42no—
2446C2—44no—
2447C2—48no—
2448C2—44no—
2449C2—44no—
2450C2—48no—
2451C2—42no—
2452C2#6304114yesdirect product factor
2453C2C23×H(5,𝔽2)11yescharacteristic
2454C2C2×H(7,𝔽2)12yes—
subgroupG/H
center, socleC23C26
commutator, Frattini, cosocleC22C27
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C22 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #63041C2direct (N × H)
2. C2×#3498C2semidirect
3. C2×#3488C2semidirect
4. C2×#3521C2semidirect
5. C2×#3485C2semidirect
6. C2×#3519C2semidirect
7. C2×#3513C2semidirect
8. C2×#3496C2semidirect
9. C2×#3484C2semidirect
10. C2×#3484C2semidirect
11. C2×#3546C2semidirect
12. C2×#3546C2semidirect
13. C2×#3543C2semidirect
14. C2×#3543C2semidirect
15. C2×#3562C2semidirect
16. C2×#3551C2semidirect
17. C2×#3560C2semidirect
18. C2×#3540C2semidirect
19. C2×#3539C2semidirect
20. C2×#3533C2semidirect
21. C2×#3537C2semidirect
22. C2×#3537C2semidirect
23. C2×#3534C2semidirect
24. C2×#3534C2semidirect
25. C2×#3542C2semidirect
26. C2×#3542C2semidirect
27. C2×#3532C2semidirect
28. C2×#3532C2semidirect
29. C2×#3529C2semidirect
30. C22×#560C2semidirect
31. C22×H(5,𝔽2)C22semidirect
32. C22×H(5,𝔽2)C22semidirect
33. C22×H(5,𝔽2)C22semidirect
34. C23×#41C22semidirect
35. C24×D4C22semidirect
36. #3562C22semidirect
37. #3560C22semidirect
38. #3551C22semidirect
39. #3546C22semidirect
40. #3546C22semidirect
41. #3543C22semidirect
42. #3543C22semidirect
43. #3542C22semidirect
44. #3542C22semidirect
45. #3540C22semidirect
46. #3539C22semidirect
47. #3537C22semidirect
48. #3537C22semidirect
49. #3534C22semidirect
50. #3534C22semidirect
51. #3533C22semidirect
52. #3532C22semidirect
53. #3532C22semidirect
54. #3529C22semidirect
55. C2×#563C22semidirect
56. C2×#563C22semidirect
57. C2×#563C22semidirect
58. C2×#562C22semidirect
59. C2×#562C22semidirect
60. C2×#562C22semidirect
61. C2×#562C22semidirect
62. C2×#562C22semidirect
63. C2×H(3,𝔽4)C22semidirect
64. C2×H(3,𝔽4)C22semidirect
65. C2×#560C22semidirect
66. C2×#560C22semidirect
67. C2×#560C22semidirect
68. C2×#560C22semidirect
69. C2×#560C22semidirect
70. C2×#560C22semidirect
71. C2×#560C22semidirect
72. C2×#560C22semidirect
73. C2×#560C22semidirect
74. C2×#560C22semidirect
75. C2×#560C22semidirect
76. C2×#560C22semidirect
77. C2×#560C22semidirect
78. C2×#560C22semidirect
79. C2×#560C22semidirect
80. C2×#560C22semidirect
81. C2×#560C22semidirect
82. C2×#560C22semidirect
83. C2×#560C22semidirect
84. #3521C22semidirect
85. #3519C22semidirect
86. #3513C22semidirect
87. #3498C22semidirect
88. #3496C22semidirect
89. #3488C22semidirect
90. #3485C22semidirect
91. #3484C22semidirect
92. #3484C22semidirect
93. C2×#559C22semidirect
94. C2×#559C22semidirect
95. C2×#556C22semidirect
96. C2×#556C22semidirect
97. C2×#555C22semidirect
98. C2×#555C22semidirect
99. C2×#554C22semidirect
100. C2×#553C22semidirect
101. C2×#553C22semidirect
102. C2×#553C22semidirect
103. C2×#553C22semidirect
104. C2×#553C22semidirect
105. C2×#553C22semidirect
106. C2×#553C22semidirect
107. C2×#553C22semidirect
108. C2×#553C22semidirect
109. C2×#553C22semidirect
110. C2×#553C22semidirect
111. C2×#552C22semidirect
112. C2×#552C22semidirect
113. C2×#552C22semidirect
114. C2×#551C22semidirect
115. C2×#551C22semidirect
116. C2×#551C22semidirect
117. C2×#551C22semidirect
118. C2×#551C22semidirect
119. C2×#551C22semidirect
120. C2×#551C22semidirect
121. C2×#551C22semidirect
122. C2×#550C22semidirect
123. C2×#550C22semidirect
124. C2×#550C22semidirect
125. C2×#550C22semidirect
126. C2×#550C22semidirect
127. C2×#550C22semidirect
128. C2×#548C22semidirect
129. C2×#548C22semidirect
130. C2×#547C22semidirect
131. C2×#547C22semidirect
132. C2×#547C22semidirect
133. C2×#547C22semidirect
134. C2×#547C22semidirect
135. C2×#547C22semidirect
136. C2×#546C22semidirect
137. C2×#546C22semidirect
138. C2×#546C22semidirect
139. C2×#546C22semidirect
140. C2×#546C22semidirect
141. C2×#546C22semidirect
142. C2×#546C22semidirect
143. C2×#546C22semidirect
144. C2×#546C22semidirect
145. C2×#546C22semidirect
146. C2×#546C22semidirect
147. C2×#546C22semidirect
148. C2×#546C22semidirect
149. C2×#546C22semidirect
150. C2×#546C22semidirect
151. C2×#546C22semidirect
152. C2×#546C22semidirect
153. C2×#546C22semidirect
154. C2×#546C22semidirect
155. C2×#546C22semidirect
156. C2×#546C22semidirect
157. C2×#546C22semidirect
158. C2×#546C22semidirect
159. C2×#546C22semidirect
160. C2×#546C22semidirect
161. C2×#546C22semidirect
162. C2×D42C22semidirect
163. C2×D42C22semidirect
164. C2×D42C22semidirect
165. C2×D42C22semidirect
166. C2×D42C22semidirect
167. C2×D42C22semidirect
168. C2×D42C22semidirect
169. C2×D42C22semidirect
170. C2×D42C22semidirect
171. C2×D42C22semidirect
172. C2×D42C22semidirect
173. C2×D42C22semidirect
174. C2×D42C22semidirect
175. C2×D42C22semidirect
176. C2×D42C22semidirect
177. C2×D42C22semidirect
178. C2×D42C22semidirect
179. C2×D42C22semidirect
180. C2×D42C22semidirect
181. C2×#542C22semidirect
182. C2×#542C22semidirect
183. C2×#542C22semidirect
184. C2×#542C22semidirect
185. C2×#541C22semidirect
186. C2×#540C22semidirect
187. C2×#540C22semidirect
188. C2×#540C22semidirect
189. C2×#540C22semidirect
190. C2×#540C22semidirect
191. C2×#540C22semidirect
192. C2×#540C22semidirect
193. C2×#540C22semidirect
194. C2×#540C22semidirect
195. C2×#539C22semidirect
196. C2×#539C22semidirect
197. C2×#539C22semidirect
198. C2×#539C22semidirect
199. C2×#539C22semidirect
200. C2×#538C22semidirect
201. C2×#538C22semidirect
202. C2×#538C22semidirect
203. C2×#538C22semidirect
204. C2×#538C22semidirect
205. C2×#538C22semidirect
206. C2×#538C22semidirect
207. C2×#538C22semidirect
208. C2×#538C22semidirect
209. C2×#538C22semidirect
210. C2×#538C22semidirect
211. C2×#538C22semidirect
212. C2×#538C22semidirect
213. C2×#538C22semidirect
214. C2×#537C22semidirect
215. C2×#537C22semidirect
216. C2×#537C22semidirect
217. C2×#537C22semidirect
218. C2×#537C22semidirect
219. C2×#536C22semidirect
220. C2×#536C22semidirect
221. C2×#535C22semidirect
222. C2×#535C22semidirect
223. C2×#535C22semidirect
224. C2×#535C22semidirect
225. C2×#535C22semidirect
226. C2×#535C22semidirect
227. C2×#535C22semidirect
228. C2×#535C22semidirect
229. C2×#535C22semidirect
230. C2×#535C22semidirect
231. C2×#535C22semidirect
232. C2×#535C22semidirect
233. C2×#535C22semidirect
234. C2×#535C22semidirect
235. C2×#534C22semidirect
236. C2×#534C22semidirect
237. C2×#534C22semidirect
238. C2×#534C22semidirect
239. C2×#534C22semidirect
240. C2×#534C22semidirect
241. C2×#534C22semidirect
242. C2×#534C22semidirect
243. C2×#534C22semidirect
244. C2×#534C22semidirect
245. C2×#534C22semidirect
246. C2×#534C22semidirect
247. C2×#532C22semidirect
248. C2×#532C22semidirect
249. C2×#532C22semidirect
250. C2×#532C22semidirect
251. C2×#532C22semidirect
252. C22×#127C22semidirect
253. C22×#127C22semidirect
254. C2×#529C22semidirect
255. C2×#529C22semidirect
256. C2×#529C22semidirect
257. C2×#529C22semidirect
258. C2×#529C22semidirect
259. C2×#529C22semidirect
260. C22×#126C22semidirect
261. C2×#525C22semidirect
262. C2×#525C22semidirect
263. C2×#525C22semidirect
264. C2×#525C22semidirect
265. C2×#525C22semidirect
266. C2×#525C22semidirect
267. C2×#525C22semidirect
268. C2×#525C22semidirect
269. C2×#525C22semidirect
270. C2×#525C22semidirect
271. C22×#123C22semidirect
272. C22×#123C22semidirect
273. C22×#123C22semidirect
274. C22×#121C22semidirect
275. C22×#121C22semidirect
276. C22×#121C22semidirect
277. C22×#121C22semidirect
278. C22×#121C22semidirect
279. C22×#120C22semidirect
280. C22×#120C22semidirect
281. C22×#120C22semidirect
282. C22×#120C22semidirect
283. C2×#520C22semidirect
284. C2×#518C22semidirect
285. C2×#518C22semidirect
286. C2×#518C22semidirect
287. C2×C4×#41C22semidirect
288. C22×C4×D4C22semidirect
293. C2×H(5,𝔽2)C23semidirect
294. C2×H(5,𝔽2)C23semidirect
295. C2×H(5,𝔽2)C23semidirect
307. C22×#41C23semidirect
308. C22×#41C23semidirect
309. C22×#41C23semidirect
310. C22×#41C23semidirect
311. C22×#41C23semidirect
312. C22×#41C23semidirect
313. C22×#41C23semidirect
314. C22×#41C23semidirect
315. C22×#41C23semidirect
316. C23×Q8C23semidirect
340. C23×D4C23semidirect
341. C23×D4C23semidirect
342. C23×D4C23semidirect
343. C23×D4C23semidirect
344. C23×D4C23semidirect
345. C23×D4C23semidirect
346. C23×D4C23semidirect
347. C23×D4C23semidirect
348. C23×D4C23semidirect
350. C24×C4C23semidirect
351. C24×C4C23semidirect
352. C24×C4C23semidirect
353. #563C23semidirect
354. #563C23semidirect
355. #563C23semidirect
356. #562C23semidirect
357. #562C23semidirect
358. #562C23semidirect
359. #562C23semidirect
360. #562C23semidirect
361. H(3,𝔽4)C23semidirect
362. H(3,𝔽4)C23semidirect
363. #560C23semidirect
364. #560C23semidirect
365. #560C23semidirect
366. #560C23semidirect
367. #560C23semidirect
368. #560C23semidirect
369. #560C23semidirect
370. #560C23semidirect
371. #560C23semidirect
372. #560C23semidirect
373. #560C23semidirect
374. #560C23semidirect
375. #560C23semidirect
376. #560C23semidirect
377. #560C23semidirect
378. #560C23semidirect
379. #560C23semidirect
380. #560C23semidirect
381. #559C23semidirect
382. #559C23semidirect
383. #556C23semidirect
384. #556C23semidirect
385. #555C23semidirect
386. #555C23semidirect
387. #554C23semidirect
388. #553C23semidirect
389. #553C23semidirect
390. #553C23semidirect
391. #553C23semidirect
392. #553C23semidirect
393. #553C23semidirect
394. #553C23semidirect
395. #553C23semidirect
396. #553C23semidirect
397. #553C23semidirect
398. #553C23semidirect
399. #552C23semidirect
400. #552C23semidirect
401. #552C23semidirect
402. #551C23semidirect
403. #551C23semidirect
404. #551C23semidirect
405. #551C23semidirect
406. #551C23semidirect
407. #551C23semidirect
408. #551C23semidirect
409. #551C23semidirect
410. #550C23semidirect
411. #550C23semidirect
412. #550C23semidirect
413. #550C23semidirect
414. #550C23semidirect
415. #550C23semidirect
416. #548C23semidirect
417. #548C23semidirect
418. #547C23semidirect
419. #547C23semidirect
420. #547C23semidirect
421. #547C23semidirect
422. #547C23semidirect
423. #547C23semidirect
424. #546C23semidirect
425. #546C23semidirect
426. #546C23semidirect
427. #546C23semidirect
428. #546C23semidirect
429. #546C23semidirect
430. #546C23semidirect
431. #546C23semidirect
432. #546C23semidirect
433. #546C23semidirect
434. #546C23semidirect
435. #546C23semidirect
436. #546C23semidirect
437. #546C23semidirect
438. #546C23semidirect
439. #546C23semidirect
440. #546C23semidirect
441. #546C23semidirect
442. #546C23semidirect
443. #546C23semidirect
444. #546C23semidirect
445. #546C23semidirect
446. #546C23semidirect
447. #546C23semidirect
448. #546C23semidirect
449. #546C23semidirect
450. D42C23semidirect
451. D42C23semidirect
452. D42C23semidirect
453. D42C23semidirect
454. D42C23semidirect
455. D42C23semidirect
456. D42C23semidirect
457. D42C23semidirect
458. D42C23semidirect
459. D42C23semidirect
460. D42C23semidirect
461. D42C23semidirect
462. D42C23semidirect
463. D42C23semidirect
464. D42C23semidirect
465. D42C23semidirect
466. D42C23semidirect
467. D42C23semidirect
468. D42C23semidirect
469. #542C23semidirect
470. #542C23semidirect
471. #542C23semidirect
472. #542C23semidirect
473. #541C23semidirect
474. #540C23semidirect
475. #540C23semidirect
476. #540C23semidirect
477. #540C23semidirect
478. #540C23semidirect
479. #540C23semidirect
480. #540C23semidirect
481. #540C23semidirect
482. #540C23semidirect
483. #539C23semidirect
484. #539C23semidirect
485. #539C23semidirect
486. #539C23semidirect
487. #539C23semidirect
488. #538C23semidirect
489. #538C23semidirect
490. #538C23semidirect
491. #538C23semidirect
492. #538C23semidirect
493. #538C23semidirect
494. #538C23semidirect
495. #538C23semidirect
496. #538C23semidirect
497. #538C23semidirect
498. #538C23semidirect
499. #538C23semidirect
500. #538C23semidirect
501. #538C23semidirect
502. #537C23semidirect
503. #537C23semidirect
504. #537C23semidirect
505. #537C23semidirect
506. #537C23semidirect
507. #536C23semidirect
508. #536C23semidirect
509. #535C23semidirect
510. #535C23semidirect
511. #535C23semidirect
512. #535C23semidirect
513. #535C23semidirect
514. #535C23semidirect
515. #535C23semidirect
516. #535C23semidirect
517. #535C23semidirect
518. #535C23semidirect
519. #535C23semidirect
520. #535C23semidirect
521. #535C23semidirect
522. #535C23semidirect
523. #534C23semidirect
524. #534C23semidirect
525. #534C23semidirect
526. #534C23semidirect
527. #534C23semidirect
528. #534C23semidirect
529. #534C23semidirect
530. #534C23semidirect
531. #534C23semidirect
532. #534C23semidirect
533. #534C23semidirect
534. #534C23semidirect
535. #532C23semidirect
536. #532C23semidirect
537. #532C23semidirect
538. #532C23semidirect
539. #532C23semidirect
540. C2×C4⋊Q8C23semidirect
541. C2×C4⋊Q8C23semidirect
542. C2×C4⋊Q8C23semidirect
543. C2×C4⋊Q8C23semidirect
544. C2×C4⋊Q8C23semidirect
555. C2×#127C23semidirect
556. C2×#127C23semidirect
557. C2×#127C23semidirect
558. C2×#127C23semidirect
559. C2×#127C23semidirect
560. C2×#127C23semidirect
561. C2×#127C23semidirect
562. C2×#127C23semidirect
563. #529C23semidirect
564. #529C23semidirect
565. #529C23semidirect
566. #529C23semidirect
567. #529C23semidirect
568. #529C23semidirect
577. C2×#126C23semidirect
578. C2×#126C23semidirect
579. C2×#126C23semidirect
580. C2×#126C23semidirect
581. C2×#126C23semidirect
582. C2×#126C23semidirect
583. C2×#126C23semidirect
584. C2×#126C23semidirect
585. C2×#126C23semidirect
586. C2×#126C23semidirect
587. C2×#126C23semidirect
588. C2×#126C23semidirect
589. C2×#126C23semidirect
590. C2×#126C23semidirect
591. C2×#126C23semidirect
592. C2×#125C23semidirect
593. C2×#125C23semidirect
594. C2×#125C23semidirect
595. C2×#125C23semidirect
596. C2×#125C23semidirect
597. C2×#125C23semidirect
598. C2×#125C23semidirect
599. C2×#125C23semidirect
600. C2×#125C23semidirect
616. C2×#124C23semidirect
617. C2×#124C23semidirect
618. C2×#124C23semidirect
619. C2×#124C23semidirect
620. C2×#124C23semidirect
621. C2×#124C23semidirect
622. C2×#124C23semidirect
623. C2×#124C23semidirect
624. C2×#124C23semidirect
625. C2×#124C23semidirect
626. #525C23semidirect
627. #525C23semidirect
628. #525C23semidirect
629. #525C23semidirect
630. #525C23semidirect
631. #525C23semidirect
632. #525C23semidirect
633. #525C23semidirect
634. #525C23semidirect
635. #525C23semidirect
661. C2×#123C23semidirect
662. C2×#123C23semidirect
663. C2×#123C23semidirect
664. C2×#123C23semidirect
665. C2×#123C23semidirect
666. C2×#123C23semidirect
667. C2×#123C23semidirect
668. C2×#123C23semidirect
669. C2×#123C23semidirect
670. C2×#123C23semidirect
671. C2×#123C23semidirect
672. C2×#123C23semidirect
673. C2×#123C23semidirect
674. C2×#123C23semidirect
675. C2×#123C23semidirect
676. C2×#123C23semidirect
677. C2×#123C23semidirect
678. C2×#123C23semidirect
679. C2×#123C23semidirect
680. C2×#123C23semidirect
681. C2×#123C23semidirect
682. C2×#123C23semidirect
683. C2×#123C23semidirect
684. C2×#123C23semidirect
685. C2×#123C23semidirect
686. C2×#123C23semidirect
687. C2×#123C23semidirect
688. C2×#123C23semidirect
689. C2×#123C23semidirect
690. C2×#123C23semidirect
691. C2×#123C23semidirect
692. C2×#123C23semidirect
693. C2×#123C23semidirect
694. C2×#123C23semidirect
695. C2×#123C23semidirect
702. C2×C22⋊Q8C23semidirect
703. C2×C22⋊Q8C23semidirect
704. C2×C22⋊Q8C23semidirect
705. C2×C22⋊Q8C23semidirect
706. C2×C22⋊Q8C23semidirect
707. C2×C22⋊Q8C23semidirect
708. C2×C22⋊Q8C23semidirect
709. C2×C22⋊Q8C23semidirect
710. C2×C22⋊Q8C23semidirect
711. C2×C22⋊Q8C23semidirect
712. C2×C22⋊Q8C23semidirect
713. C2×C22⋊Q8C23semidirect
714. C2×C22⋊Q8C23semidirect
715. C2×C22⋊Q8C23semidirect
716. C2×C22⋊Q8C23semidirect
717. C2×C22⋊Q8C23semidirect
718. C2×C22⋊Q8C23semidirect
719. C2×C22⋊Q8C23semidirect
720. C2×C22⋊Q8C23semidirect
721. C2×C22⋊Q8C23semidirect
722. C2×C22⋊Q8C23semidirect
723. C2×C22⋊Q8C23semidirect
775. C2×#121C23semidirect
776. C2×#121C23semidirect
777. C2×#121C23semidirect
778. C2×#121C23semidirect
779. C2×#121C23semidirect
780. C2×#121C23semidirect
781. C2×#121C23semidirect
782. C2×#121C23semidirect
783. C2×#121C23semidirect
784. C2×#121C23semidirect
785. C2×#121C23semidirect
786. C2×#121C23semidirect
787. C2×#121C23semidirect
788. C2×#121C23semidirect
789. C2×#121C23semidirect
790. C2×#121C23semidirect
791. C2×#121C23semidirect
792. C2×#121C23semidirect
793. C2×#121C23semidirect
794. C2×#121C23semidirect
795. C2×#121C23semidirect
796. C2×#121C23semidirect
797. C2×#121C23semidirect
798. C2×#121C23semidirect
799. C2×#121C23semidirect
800. C2×#121C23semidirect
801. C2×#121C23semidirect
802. C2×#121C23semidirect
803. C2×#121C23semidirect
804. C2×#121C23semidirect
805. C2×#121C23semidirect
806. C2×#121C23semidirect
807. C2×#121C23semidirect
808. C2×#121C23semidirect
809. C2×#121C23semidirect
810. C2×#121C23semidirect
811. C2×#121C23semidirect
812. C2×#121C23semidirect
813. C2×#121C23semidirect
814. C2×#121C23semidirect
815. C2×#121C23semidirect
816. C2×#121C23semidirect
817. C2×#121C23semidirect
818. C2×#121C23semidirect
819. C2×#121C23semidirect
856. C2×#120C23semidirect
857. C2×#120C23semidirect
858. C2×#120C23semidirect
859. C2×#120C23semidirect
860. C2×#120C23semidirect
861. C2×#120C23semidirect
862. C2×#120C23semidirect
863. C2×#120C23semidirect
864. C2×#120C23semidirect
865. C2×#120C23semidirect
866. C2×#120C23semidirect
867. C2×#120C23semidirect
868. C2×#120C23semidirect
869. C2×#120C23semidirect
870. C2×#120C23semidirect
871. C2×#120C23semidirect
872. C2×#120C23semidirect
873. C2×#120C23semidirect
874. #520C23semidirect
875. #518C23semidirect
876. #518C23semidirect
877. #518C23semidirect
878. C4×#41C23semidirect
879. C2×C4×Q8C23semidirect
880. C2×C4×Q8C23semidirect
881. C2×C4×Q8C23semidirect
882. C2×C4×Q8C23semidirect
883. C2×C4×Q8C23semidirect
902. C2×C4×D4C23semidirect
903. C2×C4×D4C23semidirect
904. C2×C4×D4C23semidirect
905. C2×C4×D4C23semidirect
906. C2×C4×D4C23semidirect
907. C2×C4×D4C23semidirect
908. C2×C4×D4C23semidirect
909. C2×C4×D4C23semidirect
910. C2×C4×D4C23semidirect
911. C2×C4×D4C23semidirect
912. C2×C4×D4C23semidirect
913. C2×C4×D4C23semidirect
914. C2×C4×D4C23semidirect
915. C2×C4×D4C23semidirect
916. C2×C4×D4C23semidirect
917. C2×C4×D4C23semidirect
918. C2×C4×D4C23semidirect
919. C2×C4×D4C23semidirect
920. C2×C4×D4C23semidirect
921. C2×C4×D4C23semidirect
922. C2×C4×D4C23semidirect
923. C2×C4×D4C23semidirect
924. C2×C4×D4C23semidirect
925. C2×C4×D4C23semidirect
926. C2×C4×D4C23semidirect
927. C2×C4×D4C23semidirect
928. C2×C4×D4C23semidirect
929. C2×C4×D4C23semidirect
930. C2×C4×D4C23semidirect
931. C2×C4×D4C23semidirect
936. C2×#117C23semidirect
937. C2×#117C23semidirect
938. C2×#117C23semidirect
939. C2×#117C23semidirect
940. C2×#117C23semidirect
941. C2×#117C23semidirect
942. C2×#117C23semidirect
943. C2×#117C23semidirect
944. C2×#117C23semidirect
945. C2×#117C23semidirect
946. C2×#117C23semidirect
947. C2×#117C23semidirect
948. C22×C4⋊C4C23semidirect
949. C22×C4⋊C4C23semidirect
950. C22×C4⋊C4C23semidirect
951. C22×C4⋊C4C23semidirect
952. C22×C4⋊C4C23semidirect
953. C22×C4⋊C4C23semidirect
954. C22×C4⋊C4C23semidirect
965. C22×C22⋊C4C23semidirect
966. C22×C22⋊C4C23semidirect
967. C22×C22⋊C4C23semidirect
968. C22×C22⋊C4C23semidirect
969. C22×C22⋊C4C23semidirect
970. C22×C22⋊C4C23semidirect
971. C22×C22⋊C4C23semidirect
972. C22×C22⋊C4C23semidirect
973. C22×C42C23semidirect
974. C22×C42C23semidirect
975. C22×C42C23semidirect
1022. C2×#41C24semidirect
1023. C2×#41C24semidirect
1024. C2×#41C24semidirect
1025. C2×#41C24semidirect
1026. C2×#41C24semidirect
1027. C2×#41C24semidirect
1028. C2×#41C24semidirect
1029. C2×#41C24semidirect
1039. C22×Q8C24semidirect
1152. C22×D4C24semidirect
1153. C22×D4C24semidirect
1154. C22×D4C24semidirect
1155. C22×D4C24semidirect
1156. C22×D4C24semidirect
1157. C22×D4C24semidirect
1158. C22×D4C24semidirect
1159. C22×D4C24semidirect
1198. C23×C4C24semidirect
1199. C23×C4C24semidirect
1200. C23×C4C24semidirect
1201. C4⋊Q8C24semidirect
1202. C4⋊Q8C24semidirect
1203. C4⋊Q8C24semidirect
1204. C4⋊Q8C24semidirect
1205. C4⋊Q8C24semidirect
1216. #127C24semidirect
1217. #127C24semidirect
1218. #127C24semidirect
1219. #127C24semidirect
1220. #127C24semidirect
1221. #127C24semidirect
1230. #126C24semidirect
1231. #126C24semidirect
1232. #126C24semidirect
1233. #126C24semidirect
1234. #126C24semidirect
1235. #126C24semidirect
1236. #126C24semidirect
1237. #126C24semidirect
1238. #126C24semidirect
1239. #126C24semidirect
1240. #126C24semidirect
1241. #126C24semidirect
1242. #126C24semidirect
1243. #126C24semidirect
1244. #125C24semidirect
1245. #125C24semidirect
1246. #125C24semidirect
1247. #125C24semidirect
1248. #125C24semidirect
1249. #125C24semidirect
1250. #125C24semidirect
1251. #125C24semidirect
1252. #125C24semidirect
1268. #124C24semidirect
1269. #124C24semidirect
1270. #124C24semidirect
1271. #124C24semidirect
1272. #124C24semidirect
1273. #124C24semidirect
1274. #124C24semidirect
1275. #124C24semidirect
1276. #124C24semidirect
1277. #124C24semidirect
1303. #123C24semidirect
1304. #123C24semidirect
1305. #123C24semidirect
1306. #123C24semidirect
1307. #123C24semidirect
1308. #123C24semidirect
1309. #123C24semidirect
1310. #123C24semidirect
1311. #123C24semidirect
1312. #123C24semidirect
1313. #123C24semidirect
1314. #123C24semidirect
1315. #123C24semidirect
1316. #123C24semidirect
1317. #123C24semidirect
1318. #123C24semidirect
1319. #123C24semidirect
1320. #123C24semidirect
1321. #123C24semidirect
1322. #123C24semidirect
1323. #123C24semidirect
1324. #123C24semidirect
1325. #123C24semidirect
1326. #123C24semidirect
1327. #123C24semidirect
1328. #123C24semidirect
1329. #123C24semidirect
1330. #123C24semidirect
1331. #123C24semidirect
1332. #123C24semidirect
1333. #123C24semidirect
1334. #123C24semidirect
1341. C22⋊Q8C24semidirect
1342. C22⋊Q8C24semidirect
1343. C22⋊Q8C24semidirect
1344. C22⋊Q8C24semidirect
1345. C22⋊Q8C24semidirect
1346. C22⋊Q8C24semidirect
1347. C22⋊Q8C24semidirect
1348. C22⋊Q8C24semidirect
1349. C22⋊Q8C24semidirect
1350. C22⋊Q8C24semidirect
1351. C22⋊Q8C24semidirect
1352. C22⋊Q8C24semidirect
1353. C22⋊Q8C24semidirect
1354. C22⋊Q8C24semidirect
1355. C22⋊Q8C24semidirect
1356. C22⋊Q8C24semidirect
1357. C22⋊Q8C24semidirect
1358. C22⋊Q8C24semidirect
1359. C22⋊Q8C24semidirect
1360. C22⋊Q8C24semidirect
1361. C22⋊Q8C24semidirect
1362. C22⋊Q8C24semidirect
1414. #121C24semidirect
1415. #121C24semidirect
1416. #121C24semidirect
1417. #121C24semidirect
1418. #121C24semidirect
1419. #121C24semidirect
1420. #121C24semidirect
1421. #121C24semidirect
1422. #121C24semidirect
1423. #121C24semidirect
1424. #121C24semidirect
1425. #121C24semidirect
1426. #121C24semidirect
1427. #121C24semidirect
1428. #121C24semidirect
1429. #121C24semidirect
1430. #121C24semidirect
1431. #121C24semidirect
1432. #121C24semidirect
1433. #121C24semidirect
1434. #121C24semidirect
1435. #121C24semidirect
1436. #121C24semidirect
1437. #121C24semidirect
1438. #121C24semidirect
1439. #121C24semidirect
1440. #121C24semidirect
1441. #121C24semidirect
1442. #121C24semidirect
1443. #121C24semidirect
1444. #121C24semidirect
1445. #121C24semidirect
1446. #121C24semidirect
1447. #121C24semidirect
1448. #121C24semidirect
1449. #121C24semidirect
1450. #121C24semidirect
1451. #121C24semidirect
1452. #121C24semidirect
1453. #121C24semidirect
1490. #120C24semidirect
1491. #120C24semidirect
1492. #120C24semidirect
1493. #120C24semidirect
1494. #120C24semidirect
1495. #120C24semidirect
1496. #120C24semidirect
1497. #120C24semidirect
1498. #120C24semidirect
1499. #120C24semidirect
1500. #120C24semidirect
1501. #120C24semidirect
1502. #120C24semidirect
1503. #120C24semidirect
1504. C4×Q8C24semidirect
1505. C4×Q8C24semidirect
1506. C4×Q8C24semidirect
1507. C4×Q8C24semidirect
1508. C4×Q8C24semidirect
1527. C4×D4C24semidirect
1528. C4×D4C24semidirect
1529. C4×D4C24semidirect
1530. C4×D4C24semidirect
1531. C4×D4C24semidirect
1532. C4×D4C24semidirect
1533. C4×D4C24semidirect
1534. C4×D4C24semidirect
1535. C4×D4C24semidirect
1536. C4×D4C24semidirect
1537. C4×D4C24semidirect
1538. C4×D4C24semidirect
1539. C4×D4C24semidirect
1540. C4×D4C24semidirect
1541. C4×D4C24semidirect
1542. C4×D4C24semidirect
1543. C4×D4C24semidirect
1544. C4×D4C24semidirect
1545. C4×D4C24semidirect
1546. C4×D4C24semidirect
1547. C4×D4C24semidirect
1548. C4×D4C24semidirect
1549. C4×D4C24semidirect
1550. C4×D4C24semidirect
1551. C4×D4C24semidirect
1552. C4×D4C24semidirect
1553. C4×D4C24semidirect
1554. C4×D4C24semidirect
1555. C4×D4C24semidirect
1560. #117C24semidirect
1561. #117C24semidirect
1562. #117C24semidirect
1563. #117C24semidirect
1564. #117C24semidirect
1565. #117C24semidirect
1566. #117C24semidirect
1567. #117C24semidirect
1568. #117C24semidirect
1569. #117C24semidirect
1570. #117C24semidirect
1571. #117C24semidirect
1611. C2×C4⋊C4C24semidirect
1612. C2×C4⋊C4C24semidirect
1613. C2×C4⋊C4C24semidirect
1614. C2×C4⋊C4C24semidirect
1615. C2×C4⋊C4C24semidirect
1616. C2×C4⋊C4C24semidirect
1617. C2×C4⋊C4C24semidirect
1693. C2×C22⋊C4C24semidirect
1694. C2×C22⋊C4C24semidirect
1695. C2×C22⋊C4C24semidirect
1696. C2×C22⋊C4C24semidirect
1697. C2×C22⋊C4C24semidirect
1698. C2×C22⋊C4C24semidirect
1699. C2×C22⋊C4C24semidirect
1700. C2×C22⋊C4C24semidirect
1715. C2×C42C24semidirect
1716. C2×C42C24semidirect
1717. C2×C42C24semidirect
2452. C2#63041direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#630412
C2×#34982
C2×#34882
C2×#35212
C2×#34852
C2×#35192
C2×#35132
C2×#34962
C2×#34842
C2×#35462
C2×#35432
C2×#35622
C2×#35512
C2×#35602
C2×#35402
C2×#35392
C2×#35332
C2×#35372
C2×#35342
C2×#35422
C2×#35322
C2×#35292
C22×#5602