Finite Group Databasebeta

← #10586408

Subgroups — #10586408

Order 512.

32734 conjugacy classes of subgroups.

The subgroup lattice has 1837 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62933C2116yesmaximal, complemented
2#62918C2116yesmaximal, complemented
3#62906C2116yesmaximal, complemented
4#62896C2116yesmaximal, complemented
5#62867C2116yesmaximal, complemented
6#62864C214yesmaximal, complemented
7#62863C214yesmaximal, complemented
8#62846C218yesmaximal, complemented
9#62826C214yesmaximal, complemented
10#62824C214yesmaximal, complemented
11#62820C214yesmaximal, complemented
12#62819C212yesmaximal, complemented
13#62818C214yesmaximal, complemented
14#62818C212yesmaximal, complemented
15#62817C214yesmaximal, complemented
16#62773C214yesmaximal, complemented
17C2×#3490C212yesmaximal, complemented
18C22×#538C211yesmaximal, characteristic, complemented
19#3568C22132yescomplemented
20#3566C22132yescomplemented
21#3566C22132yescomplemented
22#3566C22132yescomplemented
23#3564C22116yescomplemented
24#3564C22116yescomplemented
25#3564C22116yescomplemented
26#3564C22116yescomplemented
27#3562C22132yescomplemented
28#3562C22132yescomplemented
29#3561C22116yescomplemented
30#3561C22116yescomplemented
31#3561C22116yescomplemented
32#3560C22116yescomplemented
33#3560C22116yescomplemented
34#3560C22116yescomplemented
35#3560C22116yescomplemented
36#3560C22132yescomplemented
37#3560C22132yescomplemented
38#3558C22116yescomplemented
39#3558C22116yescomplemented
40#3558C22116yescomplemented
41#3558C22132yescomplemented
42#3551C22132yescomplemented
43#3546C22132yescomplemented
44#3545C22132yescomplemented
45#3545C22132yescomplemented
46#3542C22132yescomplemented
47#3542C22116yescomplemented
48#3542C22132yescomplemented
49#3541C22116yescomplemented
50#3541C22132yescomplemented
51#3541C22132yescomplemented
52#3540C22132yescomplemented
53#3538C2218yescomplemented
54#3537C2218yescomplemented
55#3537C22116yescomplemented
56#3537C22116yescomplemented
57#3536C2218yescomplemented
58#3536C2218yescomplemented
59#3536C22116yescomplemented
60#3536C22116yescomplemented
61#3535C22116yescomplemented
62#3535C22116yescomplemented
63#3535C22116yescomplemented
64#3535C22116yescomplemented
65#3534C22116yescomplemented
66#3534C22132yescomplemented
67#3534C22116yescomplemented
68#3534C22116yescomplemented
69#3534C22116yescomplemented
70#3534C22132yescomplemented
71#3533C22132yescomplemented
72#3533C22132yescomplemented
73#3533C22132yescomplemented
74#3532C22132yescomplemented
75#3532C22132yescomplemented
76#3532C22132yescomplemented
77#3532C22132yescomplemented
78#3521C22132yescomplemented
79#3521C22132yescomplemented
80#3521C22132yescomplemented
81#3521C22132yescomplemented
82#3520C22116yescomplemented
83#3520C22116yescomplemented
84#3519C22116yescomplemented
85#3519C22116yescomplemented
86#3519C22132yescomplemented
87#3519C22132yescomplemented
88#3514C22132yescomplemented
89#3514C22132yescomplemented
90#3514C22132yescomplemented
91#3513C22132yescomplemented
92#3513C22132yescomplemented
93#3513C22132yescomplemented
94#3513C22132yescomplemented
95#3510C22116yescomplemented
96#3506C2218yescomplemented
97#3506C22116yescomplemented
98#3505C2218yescomplemented
99#3505C2218yescomplemented
100#3505C2218yescomplemented
101#3505C22116yescomplemented
102#3505C2218yescomplemented
103#3505C22116yescomplemented
104#3501C2214yescomplemented
105#3501C2218yescomplemented
106#3500C22116yescomplemented
107#3496C2214yescomplemented
108#3496C2218yescomplemented
109#3496C22116yescomplemented
110#3495C2218yescomplemented
111#3494C2218yescomplemented
112#3494C22116yescomplemented
113#3493C22116yescomplemented
114#3492C2218yescomplemented
115#3492C2218yescomplemented
116#3492C2214yescomplemented
117#3492C2214yescomplemented
118#3491C22116yescomplemented
119#3490C2218yescomplemented
120#3490C22116yescomplemented
121#3490C22116yescomplemented
122#3490C22116yescomplemented
123#3490C2218yescomplemented
124#3490C2218yescomplemented
125#3490C2218yescomplemented
126#3490C2218yescomplemented
127#3490C2218yescomplemented
128#3490C2218yescomplemented
129#3490C22116yescomplemented
130#3490C22116yescomplemented
131#3490C2218yescomplemented
132#3490C2218yescomplemented
133#3490C22116yescomplemented
134#3489C2218yescomplemented
135#3488C2218yescomplemented
136#3488C22116yescomplemented
137#3486C2214yescomplemented
138#3485C22116yescomplemented
139#3484C2218yescomplemented
140#3484C22116yescomplemented
141#3484C2218yescomplemented
142#3484C2218yescomplemented
143#3484C22116yescomplemented
144#3484C22116yescomplemented
145#3484C2214yescomplemented
146#3481C22132yescomplemented
147#3475C22116yescomplemented
148C2×#551C2218yescomplemented
149C2×#551C2218yescomplemented
150D4×#41C22116yescomplemented
151C2×#546C2218yescomplemented
152C2×#546C2218yescomplemented
153#3460C2218yescomplemented
154#3460C22116yescomplemented
155#3459C2218yescomplemented
156#3459C2218yescomplemented
157#3459C22116yescomplemented
158C2×#543C2212yescomplemented
159#3455C22116yescomplemented
160C2×#538C2214yescomplemented
161C2×#538C2214yescomplemented
162C2×#538C2214yescomplemented
163C2×#538C2214yescomplemented
164C2×#538C22116yescomplemented
165C2×#538C22116yescomplemented
166C2×#538C2218yescomplemented
167C2×#538C22116yescomplemented
168C2×#534C2212yescomplemented
169#3444C2218yescomplemented
170C22×#126C2212yescomplemented
171C22×#124C2212yescomplemented
172C2×#525C2214yescomplemented
173C2×#525C2214yescomplemented
174C2×#525C2218yescomplemented
175C22×#123C2212yescomplemented
176C22×C22⋊Q8C2211yescharacteristic, complemented
177C22×#121C2212yescomplemented
178C22×#121C2211yescharacteristic, complemented
179C22×#120C2214yescomplemented
180C22×#120C2212yescomplemented
181C4×H(5,𝔽2)C2218yescomplemented
182C2×#518C2214yescomplemented
183C22×C4×D4C2212yescomplemented
184C23×C22⋊C4C2211yescharacteristic, complemented
185C26C2311yescharacteristic
186C2×2−1+4C2314yescomplemented
187C2×H(5,𝔽2)C2318yes—
188C2×H(5,𝔽2)C2318yescomplemented
189C2×H(5,𝔽2)C2318yescomplemented
190C2×H(5,𝔽2)C2314yescomplemented
191C22×#41C2314yescomplemented
192C22×#41C2314yescomplemented
193C22×#41C2318yescomplemented
194C23×Q8C2311yescharacteristic, complemented
195C23×D4C2312yes—
196C23×D4C2314yes—
197C23×D4C2312yes—
198C23×D4C2312yes—
199C23×D4C2314yes—
200C23×D4C2314yes—
201C23×D4C2311yescharacteristic, complemented
202C24×C4C2311yescharacteristic
203C24×C4C2311yescharacteristic
204C24×C4C2312yescomplemented
205#563C23132yescomplemented
206#563C23132yescomplemented
207#563C23132yescomplemented
208#563C23132yescomplemented
209#563C23132yescomplemented
210#563C23132yescomplemented
211#562C23132yescomplemented
212#562C23132yescomplemented
213#562C23132yescomplemented
214#562C23132yescomplemented
215#562C23132yescomplemented
216#562C23132yescomplemented
217#562C23132yescomplemented
218#562C23132yescomplemented
219H(3,𝔽4)C23132yescomplemented
220H(3,𝔽4)C23132yescomplemented
221#560C23132yescomplemented
222#560C23132yescomplemented
223#560C23132yescomplemented
224#560C23132yescomplemented
225#560C23132yescomplemented
226#560C23132yescomplemented
227#560C23132yescomplemented
228#560C23132yescomplemented
229#559C23132yescomplemented
230#559C23132yescomplemented
231#559C23132yescomplemented
232#559C23132yescomplemented
233#556C23116yescomplemented
234#556C23132yescomplemented
235#556C23132yescomplemented
236#556C23116yescomplemented
237#556C23132yescomplemented
238#556C23132yescomplemented
239#556C23132yescomplemented
240#555C23116yescomplemented
241#555C23132yescomplemented
242#555C23132yescomplemented
243#555C23116yescomplemented
244#555C23132yescomplemented
245#554C23116yescomplemented
246#554C23132yescomplemented
247#554C23132yescomplemented
248#554C23116yescomplemented
249#554C23132yescomplemented
250#554C23116yescomplemented
251#554C23116yescomplemented
252#554C23132yescomplemented
253#553C23116yescomplemented
254#553C23132yescomplemented
255#553C23132yescomplemented
256#553C23116yescomplemented
257#553C23132yescomplemented
258#553C23116yescomplemented
259#553C23116yescomplemented
260#553C23132yescomplemented
261#553C23116yescomplemented
262#553C23132yescomplemented
263#553C23132yescomplemented
264#553C23116yescomplemented
265#553C23132yescomplemented
266#553C23132yescomplemented
267#553C23132yescomplemented
268#553C23132yescomplemented
269#553C23132yescomplemented
270#553C23132yescomplemented
271#553C23132yescomplemented
272#553C23132yescomplemented
273#553C23132yescomplemented
274#552C23132yescomplemented
275#552C23116yescomplemented
276#552C23116yescomplemented
277#552C23132yescomplemented
278#552C23116yescomplemented
279#552C23116yescomplemented
280#552C23116yescomplemented
281#552C23132yescomplemented
282#552C23132yescomplemented
283#552C23132yescomplemented
284#552C23116yescomplemented
285#552C23132yescomplemented
286#552C23132yescomplemented
287#551C23132yescomplemented
288#551C23132yescomplemented
289#551C23132yescomplemented
290#551C23132yescomplemented
291#551C23132yescomplemented
292#551C23132yescomplemented
293#551C23132yescomplemented
294#551C23132yescomplemented
295#551C23132yescomplemented
296#551C23132yescomplemented
297#551C23132yescomplemented
298#551C23132yescomplemented
299#551C23132yescomplemented
300#551C23132yescomplemented
301#551C23132yescomplemented
302#551C23132yescomplemented
303#551C23132yescomplemented
304#551C23132yescomplemented
305#551C23132yescomplemented
306#551C23132yescomplemented
307#551C23132yescomplemented
308#551C23132yescomplemented
309#551C23132yescomplemented
310#551C23132yescomplemented
311#551C23132yescomplemented
312#551C23132yescomplemented
313#551C23132yescomplemented
314#551C23132yescomplemented
315#551C23132yescomplemented
316#551C23132yescomplemented
317#551C23132yescomplemented
318#551C23132yescomplemented
319#550C23116yescomplemented
320#550C23132yescomplemented
321#550C23116yescomplemented
322D4×Q8C23116yescomplemented
323D4×Q8C23116yescomplemented
324D4×Q8C23116yescomplemented
325D4×Q8C23116yescomplemented
326#548C23116yescomplemented
327#548C23116yescomplemented
328#548C23116yescomplemented
329#548C23116yescomplemented
330#548C23116yescomplemented
331#548C23132yescomplemented
332#548C23116yescomplemented
333#548C23132yescomplemented
334#548C23132yescomplemented
335#547C23132yescomplemented
336#547C23116yescomplemented
337#547C23116yescomplemented
338#547C23132yescomplemented
339#547C23116yescomplemented
340#547C23116yescomplemented
341#547C23116yescomplemented
342#547C23132yescomplemented
343#547C23132yescomplemented
344#547C23116yescomplemented
345#547C23132yescomplemented
346#546C23132yescomplemented
347#546C23132yescomplemented
348#546C23132yescomplemented
349#546C23132yescomplemented
350#546C23132yescomplemented
351#546C23132yescomplemented
352#546C23132yescomplemented
353#546C23132yescomplemented
354#546C23132yescomplemented
355#546C23132yescomplemented
356#546C23132yescomplemented
357#546C23132yescomplemented
358#546C23132yescomplemented
359#546C23132yescomplemented
360#546C23132yescomplemented
361#546C23132yescomplemented
362#546C23132yescomplemented
363#546C23132yescomplemented
364#546C23132yescomplemented
365#546C23132yescomplemented
366#546C23132yescomplemented
367#546C23132yescomplemented
368#546C23132yescomplemented
369#546C23132yescomplemented
370#546C23132yescomplemented
371#546C23132yescomplemented
372#546C23116yescomplemented
373#546C23116yescomplemented
374#546C23116yescomplemented
375#546C23116yescomplemented
376#546C23132yescomplemented
377#546C23132yescomplemented
378#546C23132yescomplemented
379#546C23132yescomplemented
380#546C23132yescomplemented
381#546C23132yescomplemented
382#546C23132yescomplemented
383#546C23132yescomplemented
384#546C23132yescomplemented
385#546C23132yescomplemented
386#546C23132yescomplemented
387#546C23132yescomplemented
388#546C23116yescomplemented
389#546C23116yescomplemented
390#546C23132yescomplemented
391D42C23132yescomplemented
392D42C23132yescomplemented
393D42C23132yescomplemented
394D42C23132yescomplemented
395D42C23132yescomplemented
396D42C23132yescomplemented
397D42C23132yescomplemented
398D42C23132yescomplemented
399D42C23132yescomplemented
400D42C23116yescomplemented
401D42C23116yescomplemented
402D42C23116yescomplemented
403D42C23116yescomplemented
404D42C23132yescomplemented
405#544C2318yescomplemented
406#544C23116yescomplemented
407#544C2318yescomplemented
408#544C2314yescomplemented
409#544C2314yescomplemented
410#543C2318yes—
411#543C2318yescomplemented
412#543C23116yescomplemented
413#543C2318yescomplemented
414#543C2318yescomplemented
415#543C2318yescomplemented
416#543C23116yescomplemented
417#543C2318yescomplemented
418#543C2318yescomplemented
419#542C23132yescomplemented
420#542C23132yescomplemented
421#542C23116yescomplemented
422#542C23116yescomplemented
423#542C23132yescomplemented
424#542C23132yescomplemented
425#542C23132yescomplemented
426#542C23132yescomplemented
427#542C23132yescomplemented
428#542C23132yescomplemented
429#542C23132yescomplemented
430#542C23132yescomplemented
431#542C23132yescomplemented
432#542C23132yescomplemented
433#542C23132yescomplemented
434#542C23132yescomplemented
435#541C23132yescomplemented
436#541C23116yescomplemented
437#541C23132yescomplemented
438#541C23132yescomplemented
439#540C23132yescomplemented
440#540C23116yescomplemented
441#540C23132yescomplemented
442#540C23132yescomplemented
443#540C23132yescomplemented
444#540C23132yescomplemented
445#540C23132yescomplemented
446#540C23132yescomplemented
447#539C23132yescomplemented
448#539C23116yescomplemented
449#539C23116yescomplemented
450#539C23116yescomplemented
451#539C23116yescomplemented
452#539C23116yescomplemented
453#539C23116yescomplemented
454#539C23116yescomplemented
455#539C23116yescomplemented
456#539C23132yescomplemented
457#539C23132yescomplemented
458#539C23132yescomplemented
459#539C23132yescomplemented
460#539C23132yescomplemented
461#539C23132yescomplemented
462#539C23132yescomplemented
463#539C23132yescomplemented
464#539C23132yescomplemented
465#539C23132yescomplemented
466#538C23132yes—
467#538C23116yes—
468#538C23116yes—
469#538C23116yes—
470#538C23116yes—
471#538C23116yes—
472#538C23116yes—
473#538C23116yes—
474#538C23116yes—
475#538C23116yes—
476#538C23116yes—
477#538C23116yescomplemented
478#538C23116yescomplemented
479#538C23132yescomplemented
480#538C23132yescomplemented
481#538C23132yescomplemented
482#538C23132yescomplemented
483#538C23132yescomplemented
484#538C23116yescomplemented
485#538C23116yescomplemented
486#538C23132yescomplemented
487#538C23132yescomplemented
488#538C23132yescomplemented
489#538C23116yescomplemented
490#538C23116yescomplemented
491#538C23132yescomplemented
492#538C23132yescomplemented
493#538C23132yescomplemented
494#538C23132yescomplemented
495#538C23132yescomplemented
496#538C23116yescomplemented
497#538C23116yescomplemented
498#538C23116yescomplemented
499#538C23116yescomplemented
500#538C23116yescomplemented
501#538C23116yescomplemented
502#538C23132yescomplemented
503#538C23132yescomplemented
504#538C23132yescomplemented
505#538C23132yescomplemented
506#538C23132yescomplemented
507#538C23132yescomplemented
508#538C23132yescomplemented
509#538C23132yescomplemented
510#538C23132yescomplemented
511#538C23132yescomplemented
512#538C23132yescomplemented
513#538C23132yescomplemented
514#538C23132yescomplemented
515#538C23132yescomplemented
516#537C2318yescomplemented
517#537C23116yescomplemented
518#537C2318yescomplemented
519#537C2314yescomplemented
520#537C2314yescomplemented
521#537C23132yescomplemented
522#537C23116yescomplemented
523#537C23116yescomplemented
524#537C23132yescomplemented
525#536C2318yescomplemented
526#536C23116yescomplemented
527#536C23132yescomplemented
528#536C23116yescomplemented
529#536C23132yescomplemented
530#535C23116yes—
531#535C23116yes—
532#535C23132yescomplemented
533#535C23116yescomplemented
534#535C23132yescomplemented
535#535C23132yescomplemented
536#535C2318yescomplemented
537#535C23132yescomplemented
538#535C23132yescomplemented
539#535C23116yescomplemented
540#534C2318yes—
541#534C23116yes—
542#534C23116yes—
543#534C23116yes—
544#534C2318yescomplemented
545#534C23116yescomplemented
546#534C2318yescomplemented
547#534C23132yescomplemented
548#534C23116yescomplemented
549#534C23116yescomplemented
550#534C2318yescomplemented
551#534C23116yescomplemented
552#534C2318yescomplemented
553#534C23132yescomplemented
554#534C23132yescomplemented
555#534C23116yescomplemented
556#534C23116yescomplemented
557#534C2318yescomplemented
558#534C2318yescomplemented
559#534C23132yescomplemented
560#534C23132yescomplemented
561#533C2318yescomplemented
562#533C2318yescomplemented
563#533C2318yescomplemented
564#533C23116yescomplemented
565#532C2318yescomplemented
566#532C2318yescomplemented
567#532C2318yescomplemented
568#532C23116yescomplemented
569#532C23132yescomplemented
570#532C23132yescomplemented
571#532C23132yescomplemented
572#529C23116yescomplemented
573#529C23116yescomplemented
574#529C23116yescomplemented
575#529C23116yescomplemented
576#529C23116yescomplemented
577#529C23116yescomplemented
578#529C23132yescomplemented
579#529C23116yescomplemented
580#529C23116yescomplemented
581#529C23132yescomplemented
582#529C23132yescomplemented
583#529C23132yescomplemented
584#529C23132yescomplemented
585#529C23132yescomplemented
586#529C23132yescomplemented
587#529C23132yescomplemented
588#529C23132yescomplemented
589#529C23132yescomplemented
590#529C23132yescomplemented
591C2×#126C2318yescomplemented
592C2×#126C23116yescomplemented
593C2×#126C23116yescomplemented
594C2×#126C2318yescomplemented
595C2×#126C2318yescomplemented
596C2×#126C2318yescomplemented
597C2×#126C23132yescomplemented
598C2×#124C23116yescomplemented
599C2×#124C2318yescomplemented
600C2×#124C23116yescomplemented
601C2×#124C2318yescomplemented
602C2×#124C2318yescomplemented
603C2×#124C2318yescomplemented
604C2×#124C23132yescomplemented
605#525C23116yes—
606#525C23116yes—
607#525C2318yes—
608#525C2318yes—
609#525C2318yes—
610#525C2318yes—
611#525C23116yescomplemented
612#525C23116yescomplemented
613#525C2318yescomplemented
614#525C23116yescomplemented
615#525C2318yescomplemented
616#525C2318yescomplemented
617#525C2318yescomplemented
618#525C23116yescomplemented
619#525C23116yescomplemented
620#525C23132yescomplemented
621#525C23132yescomplemented
622#525C23132yescomplemented
623#525C23116yescomplemented
624#525C23116yescomplemented
625#525C23116yescomplemented
626#525C23116yescomplemented
627#525C23116yescomplemented
628#525C23116yescomplemented
629#525C23132yescomplemented
630#525C23116yescomplemented
631#525C23116yescomplemented
632#525C23132yescomplemented
633#525C23132yescomplemented
634#525C23132yescomplemented
635C2×#123C23116yescomplemented
636C2×#123C2318yescomplemented
637C2×#123C23116yescomplemented
638C2×#123C2318yescomplemented
639C2×#123C2318yescomplemented
640C2×#123C2318yescomplemented
641C2×#123C2318yescomplemented
642C2×#123C2318yescomplemented
643C2×#123C2318yescomplemented
644C2×#123C23132yescomplemented
645C2×#123C23116yescomplemented
646C2×C22⋊Q8C2314yes—
647C2×C22⋊Q8C2314yes—
648C2×C22⋊Q8C2314yes—
649C2×C22⋊Q8C2318yescomplemented
650C2×C22⋊Q8C2318yescomplemented
651C2×C22⋊Q8C2314yescomplemented
652C2×C22⋊Q8C2314yescomplemented
653C2×C22⋊Q8C2314yescomplemented
654C2×C22⋊Q8C2318yescomplemented
655C2×C22⋊Q8C2318yescomplemented
656C2×C22⋊Q8C2318yescomplemented
657C2×C22⋊Q8C2318yescomplemented
658C2×C22⋊Q8C23116yescomplemented
659C2×#121C2314yes—
660C2×#121C2314yes—
661C2×#121C2314yes—
662C2×#121C23116yescomplemented
663C2×#121C2318yescomplemented
664C2×#121C23116yescomplemented
665C2×#121C2318yescomplemented
666C2×#121C2318yescomplemented
667C2×#121C2318yescomplemented
668C2×#121C2314yescomplemented
669C2×#121C2314yescomplemented
670C2×#121C2314yescomplemented
671C2×#121C2318yescomplemented
672C2×#121C2318yescomplemented
673C2×#121C23132yescomplemented
674C2×#121C2318yescomplemented
675C2×#121C2318yescomplemented
676C2×#121C23116yescomplemented
677C2×#120C2318yes—
678C2×#120C2318yes—
679C2×#120C2318yes—
680C2×#120C23116yes—
681C2×#120C23116yes—
682C2×#120C2318yes—
683C2×#120C2318yes—
684C2×#120C2318yes—
685C2×#120C23116yes—
686C2×#120C23116yes—
687C2×#120C23116yes—
688C2×#120C23116yes—
689C2×#120C23116yescomplemented
690C2×#120C2318yescomplemented
691C2×#120C23132yescomplemented
692#520C23116yescomplemented
693#520C23132yescomplemented
694#520C23116yescomplemented
695#520C2318yescomplemented
696#520C2318yescomplemented
697#519C2314yescomplemented
698#518C23116yes—
699#518C2318yes—
700#518C23116yescomplemented
701#518C23132yescomplemented
702#518C23116yescomplemented
703#518C2318yescomplemented
704#518C2318yescomplemented
705#518C23116yescomplemented
706#518C23116yescomplemented
707#518C2314yescomplemented
708#518C23132yescomplemented
709#518C23116yescomplemented
710#518C23116yescomplemented
711C4×#41C23116yescomplemented
712C4×#41C23132yescomplemented
713C4×#41C23116yescomplemented
714C4×#41C23116yescomplemented
715C2×C4×D4C2314yes—
716C2×C4×D4C2314yes—
717C2×C4×D4C2318yes—
718C2×C4×D4C2318yes—
719C2×C4×D4C2314yescomplemented
720C2×C4×D4C23116yescomplemented
721C2×C4×D4C23116yescomplemented
722C2×C4×D4C2314yescomplemented
723C2×C4×D4C2318yescomplemented
724C2×C4×D4C2318yescomplemented
725C2×C4×D4C2318yescomplemented
726C2×C4×D4C2318yescomplemented
727C2×C4×D4C23116yescomplemented
728C2×C4×D4C23132yescomplemented
729C2×C4×D4C23116yescomplemented
730C2×#117C2318yescomplemented
731C2×#117C2314yescomplemented
732C2×#117C2314yescomplemented
733C2×#117C2318yescomplemented
734C22×C4⋊C4C2312yescomplemented
735C22×C4⋊C4C2312yescomplemented
736C22×C4⋊C4C2311yescharacteristic, complemented
737C22×C4⋊C4C2311yescharacteristic, complemented
738C22×C22⋊C4C2312yes—
739C22×C22⋊C4C2312yes—
740C22×C22⋊C4C2312yes—
741C22×C22⋊C4C2312yes—
742C22×C22⋊C4C2318yes—
743C22×C22⋊C4C2318yes—
744C22×C22⋊C4C2314yes—
745C22×C22⋊C4C2312yes—
746C22×C22⋊C4C2314yes—
747C22×C22⋊C4C2312yes—
748C22×C22⋊C4C2312yes—
749C22×C22⋊C4C2314yes—
750C22×C22⋊C4C2314yes—
751C22×C22⋊C4C2312yescomplemented
752C22×C22⋊C4C2318yescomplemented
753C22×C22⋊C4C2312yescomplemented
754C22×C42C2312yescomplemented
755C25—44no—
756C25—82no—
757C25—82no—
758C25C2411yescharacteristic
759C25C2412yes—
760C25C2412yes—
761C25C2412yes—
762C25C2414yes—
763C25C2414yes—
764C25C2412yes—
765C25C2414yes—
7662−1+4—88no—
767H(5,𝔽2)—432no—
768H(5,𝔽2)—816no—
769H(5,𝔽2)—816no—
770H(5,𝔽2)—88no—
771C2×#41—88no—
772C2×#41—88no—
773C2×#41—816no—
774C2×#41C24116yes—
775C2×#41C24132yes—
776C2×#41C24116yes—
777C2×#41C24116yes—
778C2×#41C2418yes—
779C2×#41C2418yes—
780C2×#41C24116yes—
781C2×#41C24116yes—
782C2×#41C2418yes—
783C2×#41C2418yes—
784C2×#41C24132yes—
785C2×#41C24132yes—
786C2×#41C24116yescomplemented
787C2×#41C24116yescomplemented
788C2×#41C24116yescomplemented
789C2×#41C24116yescomplemented
790C22×Q8—82no—
791C22×Q8C2414yes—
792C22×Q8C2414yes—
793C22×Q8C2414yes—
794C22×Q8C2414yes—
795C22×Q8C2414yes—
796C22×Q8C2418yescomplemented
797C22×Q8C24116yescomplemented
798C22×D4—48no—
799C22×D4—416no—
800C22×D4—84no—
801C22×D4—84no—
802C22×D4—82no—
803C22×D4—88no—
804C22×D4—88no—
805C22×D4C2414yes—
806C22×D4C2418yes—
807C22×D4C2418yes—
808C22×D4C2414yes—
809C22×D4C2418yes—
810C22×D4C2418yes—
811C22×D4C24116yes—
812C22×D4C24132yes—
813C22×D4C2418yes—
814C22×D4C2418yes—
815C22×D4C24116yes—
816C22×D4C24116yes—
817C22×D4C24116yes—
818C22×D4C2418yes—
819C22×D4C2418yes—
820C22×D4C24116yes—
821C22×D4C24116yes—
822C22×D4C24116yes—
823C22×D4C2414yes—
824C22×D4C2418yes—
825C22×D4C2418yes—
826C22×D4C2418yes—
827C22×D4C2418yes—
828C22×D4C2418yes—
829C22×D4C2418yes—
830C22×D4C24116yes—
831C22×D4C24116yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C24132yes—
835C22×D4C24132yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C24116yescomplemented
839C22×D4C2418yescomplemented
840C23×C4—82no—
841C23×C4—82no—
842C23×C4—84no—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2418yes—
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2418yes—
863C23×C4C2418yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2418yes—
867C23×C4C24116yescomplemented
868C4⋊Q8C2418yescomplemented
869C4⋊Q8C2418yescomplemented
870C4⋊Q8C2418yescomplemented
871C4⋊Q8C24132yescomplemented
872C4⋊Q8C24132yescomplemented
873C4⋊Q8C24132yescomplemented
874C4⋊Q8C24116yescomplemented
875C4⋊Q8C24116yescomplemented
876C4⋊Q8C24116yescomplemented
877#127C24132yes—
878#127C24132yes—
879#127C24132yes—
880#127C2418yescomplemented
881#127C24116yescomplemented
882#126C24132yes—
883#126C24132yes—
884#126C24132yes—
885#126C24132yes—
886#126C24132yes—
887#126C24132yes—
888#126C24132yes—
889#126C24132yes—
890#126C24132yes—
891#126C24132yes—
892#126C24132yes—
893#126C24132yes—
894#126C24132yes—
895#126C24132yes—
896#126C24132yescomplemented
897#126C24132yescomplemented
898#126C24132yescomplemented
899#126C24132yescomplemented
900#126C24132yescomplemented
901#126C24132yescomplemented
902#126C24132yescomplemented
903#126C24132yescomplemented
904#126C24132yescomplemented
905#126C24132yescomplemented
906#126C24132yescomplemented
907#126C24132yescomplemented
908#125C24116yescomplemented
909#125C24132yescomplemented
910#125C24116yescomplemented
911#125C24116yescomplemented
912#125C24132yescomplemented
913#125C24116yescomplemented
914#125C24132yescomplemented
915#125C24132yescomplemented
916#125C24132yescomplemented
917#125C24116yescomplemented
918#125C24132yescomplemented
919#125C24132yescomplemented
920#125C24132yescomplemented
921#124C24132yes—
922#124C24132yes—
923#124C24132yes—
924#124C24132yes—
925#124C24132yes—
926#124C24132yes—
927#124C24132yes—
928#124C24132yes—
929#124C24132yes—
930#124C24132yes—
931#124C24132yes—
932#124C24132yes—
933#124C24132yes—
934#124C24132yes—
935#124C24132yes—
936#124C24132yes—
937#124C24132yes—
938#124C24116yescomplemented
939#124C24132yescomplemented
940#124C24132yescomplemented
941#124C24132yescomplemented
942#124C24116yescomplemented
943#124C24116yescomplemented
944#124C24116yescomplemented
945#124C24116yescomplemented
946#124C24132yescomplemented
947#124C24132yescomplemented
948#123C24132yes—
949#123C24132yes—
950#123C24132yes—
951#123C24132yes—
952#123C24132yes—
953#123C24132yes—
954#123C24116yes—
955#123C24116yes—
956#123C24116yes—
957#123C24132yes—
958#123C24116yes—
959#123C24132yes—
960#123C24132yes—
961#123C24132yes—
962#123C24132yes—
963#123C24132yes—
964#123C24132yes—
965#123C24132yes—
966#123C24132yes—
967#123C24132yes—
968#123C24132yes—
969#123C24132yes—
970#123C24132yes—
971#123C24132yes—
972#123C24132yes—
973#123C24132yes—
974#123C24132yes—
975#123C24132yes—
976#123C24132yes—
977#123C24132yes—
978#123C24132yes—
979#123C24132yes—
980#123C24132yes—
981#123C24132yes—
982#123C24132yescomplemented
983#123C24132yescomplemented
984#123C24132yescomplemented
985#123C24132yescomplemented
986#123C24132yescomplemented
987#123C24132yescomplemented
988#123C24132yescomplemented
989#123C24132yescomplemented
990#123C24132yescomplemented
991#123C24132yescomplemented
992#123C24132yescomplemented
993#123C24132yescomplemented
994#123C24132yescomplemented
995#123C24132yescomplemented
996#123C24132yescomplemented
997C22⋊Q8C24116yes—
998C22⋊Q8C2418yes—
999C22⋊Q8C24116yes—
1000C22⋊Q8C24116yes—
1001C22⋊Q8C2418yes—
1002C22⋊Q8C24116yes—
1003C22⋊Q8C2418yes—
1004C22⋊Q8C2418yes—
1005C22⋊Q8C24116yes—
1006C22⋊Q8C24116yes—
1007C22⋊Q8C24116yes—
1008C22⋊Q8C2418yes—
1009C22⋊Q8C2418yes—
1010C22⋊Q8C2418yes—
1011C22⋊Q8C24116yes—
1012C22⋊Q8C2418yes—
1013C22⋊Q8C24116yes—
1014C22⋊Q8C24116yes—
1015C22⋊Q8C24132yes—
1016C22⋊Q8C24132yes—
1017C22⋊Q8C24132yes—
1018C22⋊Q8C24132yes—
1019C22⋊Q8C24132yes—
1020C22⋊Q8C24132yes—
1021C22⋊Q8C24116yes—
1022C22⋊Q8C24116yes—
1023C22⋊Q8C24116yes—
1024C22⋊Q8C24116yes—
1025C22⋊Q8C24132yes—
1026C22⋊Q8C24132yes—
1027C22⋊Q8C24132yes—
1028C22⋊Q8C24132yes—
1029C22⋊Q8C24116yescomplemented
1030C22⋊Q8C24116yescomplemented
1031C22⋊Q8C24116yescomplemented
1032C22⋊Q8C24116yescomplemented
1033C22⋊Q8C24116yescomplemented
1034C22⋊Q8C24116yescomplemented
1035C22⋊Q8C24132yescomplemented
1036C22⋊Q8C24132yescomplemented
1037C22⋊Q8C24116yescomplemented
1038C22⋊Q8C24132yescomplemented
1039C22⋊Q8C24132yescomplemented
1040C22⋊Q8C24116yescomplemented
1041C22⋊Q8C24132yescomplemented
1042C22⋊Q8C24132yescomplemented
1043C22⋊Q8C24132yescomplemented
1044C22⋊Q8C24132yescomplemented
1045C22⋊Q8C24132yescomplemented
1046C22⋊Q8C24132yescomplemented
1047C22⋊Q8C24132yescomplemented
1048C22⋊Q8C24132yescomplemented
1049C22⋊Q8C24132yescomplemented
1050C22⋊Q8C24132yescomplemented
1051#121C24116yes—
1052#121C2418yes—
1053#121C24116yes—
1054#121C24116yes—
1055#121C2418yes—
1056#121C24116yes—
1057#121C2418yes—
1058#121C2418yes—
1059#121C24132yes—
1060#121C24132yes—
1061#121C24116yes—
1062#121C24132yes—
1063#121C24132yes—
1064#121C24116yes—
1065#121C24116yes—
1066#121C24132yes—
1067#121C2418yes—
1068#121C2418yes—
1069#121C2418yes—
1070#121C2418yes—
1071#121C24116yes—
1072#121C24116yes—
1073#121C24116yes—
1074#121C24132yes—
1075#121C24132yes—
1076#121C24132yes—
1077#121C24132yes—
1078#121C24132yes—
1079#121C24132yes—
1080#121C24132yes—
1081#121C24116yes—
1082#121C24116yes—
1083#121C24116yes—
1084#121C24116yes—
1085#121C24132yes—
1086#121C24132yes—
1087#121C24132yes—
1088#121C24132yes—
1089#121C24132yes—
1090#121C24132yes—
1091#121C24132yes—
1092#121C24132yes—
1093#121C24132yes—
1094#121C24132yes—
1095#121C24132yes—
1096#121C24132yes—
1097#121C24132yes—
1098#121C24132yes—
1099#121C24132yes—
1100#121C24132yes—
1101#121C24132yes—
1102#121C24132yes—
1103#121C24132yes—
1104#121C24132yes—
1105#121C24116yescomplemented
1106#121C24116yescomplemented
1107#121C24116yescomplemented
1108#121C24116yescomplemented
1109#121C24132yescomplemented
1110#121C24132yescomplemented
1111#121C24132yescomplemented
1112#121C24116yescomplemented
1113#121C24116yescomplemented
1114#121C24132yescomplemented
1115#121C24116yescomplemented
1116#121C24116yescomplemented
1117#121C24132yescomplemented
1118#121C24132yescomplemented
1119#121C24132yescomplemented
1120#121C24132yescomplemented
1121#120C24116yes—
1122#120C24132yes—
1123#120C24132yes—
1124#120C24116yes—
1125#120C24116yes—
1126#120C24116yes—
1127#120C24132yes—
1128#120C24132yes—
1129#120C24132yes—
1130#120C24132yes—
1131#120C24132yes—
1132#120C24132yes—
1133#120C24132yes—
1134#120C24132yes—
1135#120C24132yes—
1136#120C24132yes—
1137#120C24132yes—
1138#120C24132yes—
1139#120C24132yes—
1140#120C24132yes—
1141#120C24132yes—
1142#120C24132yes—
1143#120C24132yes—
1144#120C24132yes—
1145#120C24132yes—
1146#120C24132yes—
1147#120C24132yes—
1148#120C24132yes—
1149#120C24132yescomplemented
1150#120C24132yescomplemented
1151#120C24132yescomplemented
1152C4×Q8C24116yescomplemented
1153C4×Q8C24132yescomplemented
1154C4×Q8C24116yescomplemented
1155C4×Q8C24116yescomplemented
1156C4×Q8C24116yescomplemented
1157C4×Q8C24116yescomplemented
1158C4×Q8C24116yescomplemented
1159C4×Q8C24116yescomplemented
1160C4×Q8C24116yescomplemented
1161C4×Q8C24116yescomplemented
1162C4×Q8C24116yescomplemented
1163C4×Q8C24132yescomplemented
1164C4×D4C24116yes—
1165C4×D4C24116yes—
1166C4×D4C24116yes—
1167C4×D4C24116yes—
1168C4×D4C24132yes—
1169C4×D4C24132yes—
1170C4×D4C24116yes—
1171C4×D4C24116yes—
1172C4×D4C24116yes—
1173C4×D4C24116yes—
1174C4×D4C24116yes—
1175C4×D4C24116yes—
1176C4×D4C24116yes—
1177C4×D4C24116yes—
1178C4×D4C24132yes—
1179C4×D4C24132yes—
1180C4×D4C24132yes—
1181C4×D4C24132yes—
1182C4×D4C24116yes—
1183C4×D4C24132yes—
1184C4×D4C24132yes—
1185C4×D4C24132yes—
1186C4×D4C24132yes—
1187C4×D4C24132yes—
1188C4×D4C24116yes—
1189C4×D4C24132yes—
1190C4×D4C24116yes—
1191C4×D4C24116yes—
1192C4×D4C24132yes—
1193C4×D4C24132yes—
1194C4×D4C24132yes—
1195C4×D4C24132yes—
1196C4×D4C24132yes—
1197C4×D4C24132yes—
1198C4×D4C24132yes—
1199C4×D4C24132yes—
1200C4×D4C24132yes—
1201C4×D4C24132yes—
1202C4×D4C24132yes—
1203C4×D4C24132yes—
1204C4×D4C24132yes—
1205C4×D4C24132yes—
1206C4×D4C24132yescomplemented
1207C4×D4C24116yescomplemented
1208C4×D4C24132yescomplemented
1209C4×D4C24132yescomplemented
1210C4×D4C24132yescomplemented
1211C4×D4C24132yescomplemented
1212C4×D4C24132yescomplemented
1213C4×D4C24116yescomplemented
1214C4×D4C24132yescomplemented
1215C4×D4C24116yescomplemented
1216C4×D4C24116yescomplemented
1217C4×D4C24116yescomplemented
1218C4×D4C24116yescomplemented
1219C4×D4C24116yescomplemented
1220C4×D4C24132yescomplemented
1221C4×D4C24116yescomplemented
1222C4×D4C24132yescomplemented
1223C4×D4C24116yescomplemented
1224C4×D4C24132yescomplemented
1225C4×D4C24116yescomplemented
1226#117C24116yes—
1227#117C24132yes—
1228#117C24132yes—
1229#117C2418yes—
1230#117C24116yes—
1231#117C2418yes—
1232#117C24116yes—
1233#117C2418yes—
1234#117C2418yes—
1235#117C24132yes—
1236#117C24116yes—
1237#117C24116yes—
1238#117C24132yes—
1239#117C24132yes—
1240#117C24116yescomplemented
1241#117C24116yescomplemented
1242#117C24132yescomplemented
1243#117C24132yescomplemented
1244#117C24132yescomplemented
1245#117C24132yescomplemented
1246#117C24132yescomplemented
1247#117C24132yescomplemented
1248#117C24132yescomplemented
1249#117C24116yescomplemented
1250#117C24116yescomplemented
1251C2×C4⋊C4C2414yes—
1252C2×C4⋊C4C2414yes—
1253C2×C4⋊C4C2418yes—
1254C2×C4⋊C4C2418yes—
1255C2×C4⋊C4C2418yes—
1256C2×C4⋊C4C2414yes—
1257C2×C4⋊C4C2414yes—
1258C2×C4⋊C4C2414yes—
1259C2×C4⋊C4C2418yes—
1260C2×C4⋊C4C2418yes—
1261C2×C4⋊C4C2414yes—
1262C2×C4⋊C4C2414yes—
1263C2×C4⋊C4C2414yes—
1264C2×C4⋊C4C2418yes—
1265C2×C4⋊C4C2418yes—
1266C2×C4⋊C4C2414yes—
1267C2×C4⋊C4C2414yes—
1268C2×C4⋊C4C2414yes—
1269C2×C4⋊C4C2414yes—
1270C2×C4⋊C4C2418yes—
1271C2×C4⋊C4C2418yes—
1272C2×C4⋊C4C2418yescomplemented
1273C2×C4⋊C4C2418yescomplemented
1274C2×C4⋊C4C24116yescomplemented
1275C2×C4⋊C4C24132yescomplemented
1276C2×C4⋊C4C24116yescomplemented
1277C2×C4⋊C4C24132yescomplemented
1278C2×C4⋊C4C24116yescomplemented
1279C2×C4⋊C4C24116yescomplemented
1280C2×C22⋊C4C2418yes—
1281C2×C22⋊C4C2414yes—
1282C2×C22⋊C4C2418yes—
1283C2×C22⋊C4C2414yes—
1284C2×C22⋊C4C2418yes—
1285C2×C22⋊C4C2414yes—
1286C2×C22⋊C4C2418yes—
1287C2×C22⋊C4C2418yes—
1288C2×C22⋊C4C2418yes—
1289C2×C22⋊C4C2414yes—
1290C2×C22⋊C4C2418yes—
1291C2×C22⋊C4C2418yes—
1292C2×C22⋊C4C24116yes—
1293C2×C22⋊C4C24116yes—
1294C2×C22⋊C4C2418yes—
1295C2×C22⋊C4C2418yes—
1296C2×C22⋊C4C2418yes—
1297C2×C22⋊C4C2414yes—
1298C2×C22⋊C4C2418yes—
1299C2×C22⋊C4C2414yes—
1300C2×C22⋊C4C2418yes—
1301C2×C22⋊C4C2418yes—
1302C2×C22⋊C4C2418yes—
1303C2×C22⋊C4C2418yes—
1304C2×C22⋊C4C24116yes—
1305C2×C22⋊C4C24116yes—
1306C2×C22⋊C4C24116yes—
1307C2×C22⋊C4C24116yes—
1308C2×C22⋊C4C2418yes—
1309C2×C22⋊C4C2418yes—
1310C2×C22⋊C4C2418yes—
1311C2×C22⋊C4C2418yes—
1312C2×C22⋊C4C2418yes—
1313C2×C22⋊C4C2418yes—
1314C2×C22⋊C4C24116yes—
1315C2×C22⋊C4C24116yes—
1316C2×C22⋊C4C2418yes—
1317C2×C22⋊C4C2414yes—
1318C2×C22⋊C4C2418yes—
1319C2×C22⋊C4C2414yes—
1320C2×C22⋊C4C2418yes—
1321C2×C22⋊C4C2418yes—
1322C2×C22⋊C4C2418yes—
1323C2×C22⋊C4C24132yes—
1324C2×C22⋊C4C24132yes—
1325C2×C22⋊C4C2418yes—
1326C2×C22⋊C4C2418yes—
1327C2×C22⋊C4C24116yes—
1328C2×C22⋊C4C24132yes—
1329C2×C22⋊C4C24116yes—
1330C2×C22⋊C4C24116yes—
1331C2×C22⋊C4C2418yes—
1332C2×C22⋊C4C2418yes—
1333C2×C22⋊C4C24132yes—
1334C2×C22⋊C4C24132yes—
1335C2×C22⋊C4C24116yescomplemented
1336C2×C22⋊C4C24132yescomplemented
1337C2×C22⋊C4C24116yescomplemented
1338C2×C22⋊C4C24132yescomplemented
1339C2×C42C2418yes—
1340C2×C42C2418yes—
1341C2×C42C2414yes—
1342C2×C42C2414yes—
1343C2×C42C2418yes—
1344C2×C42C2418yes—
1345C2×C42C24116yescomplemented
1346C2×C42C24132yescomplemented
1347C24—24no—
1348C24—28no—
1349C24—42no—
1350C24—42no—
1351C24—44no—
1352C24—44no—
1353C24—44no—
1354C24—44no—
1355C24—44no—
1356C24—48no—
1357C24—48no—
1358C24—44no—
1359C24—48no—
1360C24—48no—
1361C24—44no—
1362C24—48no—
1363C24—82no—
1364C24—82no—
1365C24—84no—
1366C24—84no—
1367C24—82no—
1368C24—82no—
1369C24—84no—
1370C24—84no—
1371C24—832no—
1372C24C2511yescharacteristic
1373C24C2512yes—
1374C24C2512yes—
1375C24C2514yes—
1376C24C2514yes—
1377C24C2514yes—
1378C24C2514yes—
1379C24C2514yes—
1380C24C2518yes—
1381C24C2514yes—
1382C24C2514yes—
1383C24C2514yes—
1384C24C2511yescharacteristic
1385C24C2518yes—
1386C24C25116yes—
1387C24C25116yes—
1388C24C2511yescharacteristic
1389#41—432no—
1390#41—416no—
1391#41—432no—
1392#41—416no—
1393#41—432no—
1394#41—464no—
1395#41—432no—
1396#41—816no—
1397#41—88no—
1398#41—88no—
1399#41—816no—
1400#41—816no—
1401#41—832no—
1402#41—832no—
1403#41—816no—
1404#41—816no—
1405C2×Q8—48no—
1406C2×Q8—84no—
1407C2×Q8—84no—
1408C2×Q8—84no—
1409C2×Q8—84no—
1410C2×Q8—88no—
1411C2×Q8—816no—
1412C2×Q8C25116yes—
1413C2×Q8C2518yes—
1414C2×Q8C25116yes—
1415C2×Q8C2518yes—
1416C2×Q8C25116yes—
1417C2×Q8C25116yes—
1418C2×Q8C25116yes—
1419C2×D4—216no—
1420C2×D4—232no—
1421C2×D4—416no—
1422C2×D4—48no—
1423C2×D4—416no—
1424C2×D4—48no—
1425C2×D4—416no—
1426C2×D4—416no—
1427C2×D4—416no—
1428C2×D4—432no—
1429C2×D4—432no—
1430C2×D4—416no—
1431C2×D4—416no—
1432C2×D4—432no—
1433C2×D4—432no—
1434C2×D4—432no—
1435C2×D4—432no—
1436C2×D4—464no—
1437C2×D4—432no—
1438C2×D4—88no—
1439C2×D4—88no—
1440C2×D4—84no—
1441C2×D4—84no—
1442C2×D4—88no—
1443C2×D4—88no—
1444C2×D4—88no—
1445C2×D4—88no—
1446C2×D4—816no—
1447C2×D4—816no—
1448C2×D4—84no—
1449C2×D4—84no—
1450C2×D4—832no—
1451C2×D4—832no—
1452C2×D4—88no—
1453C2×D4—816no—
1454C2×D4C25116yes—
1455C2×D4C25116yes—
1456C2×D4C25116yes—
1457C2×D4C25116yes—
1458C2×D4C25116yes—
1459C2×D4C25132yes—
1460C2×D4C25116yes—
1461C2×D4C25132yes—
1462C2×D4C25132yes—
1463C2×D4C25132yes—
1464C2×D4C25116yes—
1465C2×D4C25116yes—
1466C2×D4C25132yes—
1467C2×D4C25132yes—
1468C2×D4C25116yes—
1469C2×D4C2518yes—
1470C2×D4C25116yes—
1471C2×D4C25132yes—
1472C2×D4C25116yes—
1473C2×D4C2518yes—
1474C2×D4C25116yes—
1475C2×D4C25132yes—
1476C2×D4C25116yes—
1477C22×C4—44no—
1478C22×C4—42no—
1479C22×C4—44no—
1480C22×C4—42no—
1481C22×C4—48no—
1482C22×C4—416no—
1483C22×C4—48no—
1484C22×C4—44no—
1485C22×C4—48no—
1486C22×C4—44no—
1487C22×C4—81no—
1488C22×C4—84no—
1489C22×C4—84no—
1490C22×C4—82no—
1491C22×C4—88no—
1492C22×C4—81no—
1493C22×C4—82no—
1494C22×C4—84no—
1495C22×C4—84no—
1496C22×C4—82no—
1497C22×C4—84no—
1498C22×C4—84no—
1499C22×C4—88no—
1500C22×C4—88no—
1501C22×C4—816no—
1502C22×C4C2518yes—
1503C22×C4C2514yes—
1504C22×C4C2514yes—
1505C22×C4C2514yes—
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2514yes—
1509C22×C4C2514yes—
1510C22×C4C2514yes—
1511C22×C4C2514yes—
1512C22×C4C2512yes—
1513C22×C4C2514yes—
1514C22×C4C2514yes—
1515C22×C4C2514yes—
1516C22×C4C2514yes—
1517C22×C4C2512yes—
1518C22×C4C2518yes—
1519C22×C4C2518yes—
1520C22×C4C2518yes—
1521C22×C4C25116yes—
1522C22×C4C25132yes—
1523C22×C4C25116yes—
1524C22×C4C25132yes—
1525C22×C4C25132yes—
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2514yes—
1529C22×C4C2514yes—
1530C22×C4C2512yes—
1531C22×C4C2514yes—
1532C22×C4C2512yes—
1533C22×C4C2514yes—
1534C22×C4C25116yes—
1535C22×C4C2518yes—
1536C22×C4C25116yes—
1537C22×C4C25116yes—
1538C22×C4C2514yes—
1539C22×C4C2514yes—
1540C22×C4C25116yes—
1541C22×C4C25116yes—
1542C22×C4C25132yes—
1543C22×C4C25116yes—
1544C22×C4C2518yes—
1545C22×C4C2518yes—
1546C22×C4C2518yes—
1547C4⋊C4C25116yes—
1548C4⋊C4C25132yes—
1549C4⋊C4C25116yes—
1550C4⋊C4C25116yes—
1551C4⋊C4C25116yes—
1552C4⋊C4C25132yes—
1553C4⋊C4C2518yes—
1554C4⋊C4C2518yes—
1555C4⋊C4C25116yes—
1556C4⋊C4C25116yes—
1557C4⋊C4C25116yes—
1558C4⋊C4C25132yes—
1559C4⋊C4C2518yes—
1560C4⋊C4C2518yes—
1561C4⋊C4C25116yes—
1562C4⋊C4C25116yes—
1563C4⋊C4C25116yes—
1564C4⋊C4C25116yes—
1565C4⋊C4C25132yes—
1566C4⋊C4C25132yes—
1567C4⋊C4C25116yes—
1568C4⋊C4C25116yes—
1569C4⋊C4C25132yes—
1570C4⋊C4C25132yes—
1571C4⋊C4C25116yes—
1572C4⋊C4C25132yes—
1573C4⋊C4C25132yes—
1574C4⋊C4C25116yes—
1575C4⋊C4C25116yes—
1576C22⋊C4C25116yes—
1577C22⋊C4C25116yes—
1578C22⋊C4C25116yes—
1579C22⋊C4C25116yes—
1580C22⋊C4C25116yes—
1581C22⋊C4C25116yes—
1582C22⋊C4C25116yes—
1583C22⋊C4C25116yes—
1584C22⋊C4C25116yes—
1585C22⋊C4C25132yes—
1586C22⋊C4C25132yes—
1587C22⋊C4C25132yes—
1588C22⋊C4C25132yes—
1589C22⋊C4C25132yes—
1590C22⋊C4C25132yes—
1591C22⋊C4C25116yes—
1592C22⋊C4C25132yes—
1593C22⋊C4C25116yes—
1594C22⋊C4C25116yes—
1595C22⋊C4C25116yes—
1596C22⋊C4C25116yes—
1597C22⋊C4C25116yes—
1598C22⋊C4C25116yes—
1599C22⋊C4C25116yes—
1600C22⋊C4C25132yes—
1601C22⋊C4C25132yes—
1602C22⋊C4C25132yes—
1603C22⋊C4C25132yes—
1604C22⋊C4C25132yes—
1605C22⋊C4C25132yes—
1606C22⋊C4C25132yes—
1607C22⋊C4C25132yes—
1608C22⋊C4C25132yes—
1609C22⋊C4C25116yes—
1610C22⋊C4C25132yes—
1611C42C2518yes—
1612C42C2518yes—
1613C42C2518yes—
1614C42C2518yes—
1615C42C25132yes—
1616C42C25116yes—
1617C42C25116yes—
1618C42C25132yes—
1619C42C25132yes—
1620C42C25132yes—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—28no—
1625C23—24no—
1626C23—24no—
1627C23—22no—
1628C23—24no—
1629C23—24no—
1630C23—28no—
1631C23—216no—
1632C23—28no—
1633C23—28no—
1634C23—28no—
1635C23—28no—
1636C23—28no—
1637C23—28no—
1638C23—41no—
1639C23—41no—
1640C23—42no—
1641C23—42no—
1642C23—41no—
1643C23—41no—
1644C23—44no—
1645C23—44no—
1646C23—44no—
1647C23—44no—
1648C23—48no—
1649C23—48no—
1650C23—44no—
1651C23—44no—
1652C23—44no—
1653C23—44no—
1654C23—44no—
1655C23—44no—
1656C23—44no—
1657C23—44no—
1658C23—44no—
1659C23—44no—
1660C23—48no—
1661C23—48no—
1662C23—44no—
1663C23—44no—
1664C23—48no—
1665C23—416no—
1666C23—416no—
1667C23—416no—
1668C23—416no—
1669C23—416no—
1670C23—416no—
1671C23—416no—
1672C23—816no—
1673C23—816no—
1674C23—816no—
1675C23—832no—
1676C23—832no—
1677C23—816no—
1678C23—1616no—
1679C23#58514yes—
1680C23C2618yes—
1681C23C2612yes—
1682C23C2618yes—
1683C23C26116yes—
1684C23C2611yescharacteristic
1685C23C2612yes—
1686C23C2611yescharacteristic
1687C23C2611yescharacteristic
1688Q8—416no—
1689Q8—48no—
1690Q8—416no—
1691Q8—416no—
1692Q8—48no—
1693Q8—416no—
1694Q8—416no—
1695D4—232no—
1696D4—232no—
1697D4—232no—
1698D4—232no—
1699D4—232no—
1700D4—432no—
1701D4—416no—
1702D4—432no—
1703D4—416no—
1704D4—432no—
1705D4—416no—
1706D4—432no—
1707D4—432no—
1708D4—432no—
1709D4—416no—
1710D4—416no—
1711D4—432no—
1712D4—432no—
1713D4—48no—
1714D4—416no—
1715D4—416no—
1716D4—416no—
1717D4—48no—
1718C2×C4—28no—
1719C2×C4—216no—
1720C2×C4—28no—
1721C2×C4—28no—
1722C2×C4—24no—
1723C2×C4—24no—
1724C2×C4—28no—
1725C2×C4—42no—
1726C2×C4—44no—
1727C2×C4—48no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—42no—
1731C2×C4—44no—
1732C2×C4—42no—
1733C2×C4—44no—
1734C2×C4—42no—
1735C2×C4—48no—
1736C2×C4—44no—
1737C2×C4—44no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—48no—
1741C2×C4—48no—
1742C2×C4—48no—
1743C2×C4—44no—
1744C2×C4—44no—
1745C2×C4—44no—
1746C2×C4—44no—
1747C2×C4—416no—
1748C2×C4—44no—
1749C2×C4—44no—
1750C2×C4—48no—
1751C2×C4—48no—
1752C2×C4—432no—
1753C2×C4—416no—
1754C2×C4—416no—
1755C2×C4—416no—
1756C2×C4—416no—
1757C2×C4—432no—
1758C2×C4—416no—
1759C2×C4—416no—
1760C2×C4—432no—
1761C2×C4—416no—
1762C2×C4—432no—
1763C2×C4C2614yes—
1764C2×C4C2618yes—
1765C2×C4C26116yes—
1766C2×C4C2618yes—
1767C2×C4C26116yes—
1768C2×C4C26116yes—
1769C2×C4C2614yes—
1770C2×C4C2614yes—
1771C2×C4C2614yes—
1772C2×C4C2618yes—
1773C22—28no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—22no—
1781C22—22no—
1782C22—28no—
1783C22—216no—
1784C22—28no—
1785C22—22no—
1786C22—28no—
1787C22—216no—
1788C22—216no—
1789C22—22no—
1790C22—22no—
1791C22—28no—
1792C22—28no—
1793C22—28no—
1794C22—44no—
1795C22—48no—
1796C22—48no—
1797C22—44no—
1798C22—416no—
1799C22—88no—
1800C22—88no—
1801C22—88no—
1802C22—88no—
1803C22—88no—
1804C22—88no—
1805C22—88no—
1806C22—816no—
1807C22—816no—
1808C22—1616no—
1809C22—1616no—
1810C22C2×#58512yes—
1811C22C2×#58514yes—
1812C22H(7,𝔽2)12yes—
1813C22H(7,𝔽2)12yes—
1814C22C2711yescharacteristic
1815C4—28no—
1816C4—216no—
1817C4—24no—
1818C4—28no—
1819C4—24no—
1820C4—24no—
1821C4—24no—
1822C4—28no—
1823C4—216no—
1824C4—216no—
1825C2—22no—
1826C2—22no—
1827C2—22no—
1828C2—24no—
1829C2—42no—
1830C2—48no—
1831C2—48no—
1832C2—416no—
1833C2C22×#58511yescharacteristic
1834C2C2×H(7,𝔽2)11yescharacteristic
1835C2C2×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC22C27
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ G
LECSG ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62933C2semidirect
2. #62918C2semidirect
3. #62906C2semidirect
4. #62896C2semidirect
5. #62867C2semidirect
6. #62864C2semidirect
7. #62863C2semidirect
8. #62846C2semidirect
9. #62826C2semidirect
10. #62824C2semidirect
11. #62820C2semidirect
12. #62819C2semidirect
13. #62818C2semidirect
14. #62818C2semidirect
15. #62817C2semidirect
16. #62773C2semidirect
17. C2×#3490C2semidirect
18. C22×#538C2semidirect
19. #3568C22semidirect
20. #3566C22semidirect
21. #3566C22semidirect
22. #3566C22semidirect
23. #3564C22semidirect
24. #3564C22semidirect
25. #3564C22semidirect
26. #3564C22semidirect
27. #3562C22semidirect
28. #3562C22semidirect
29. #3561C22semidirect
30. #3561C22semidirect
31. #3561C22semidirect
32. #3560C22semidirect
33. #3560C22semidirect
34. #3560C22semidirect
35. #3560C22semidirect
36. #3560C22semidirect
37. #3560C22semidirect
38. #3558C22semidirect
39. #3558C22semidirect
40. #3558C22semidirect
41. #3558C22semidirect
42. #3551C22semidirect
43. #3546C22semidirect
44. #3545C22semidirect
45. #3545C22semidirect
46. #3542C22semidirect
47. #3542C22semidirect
48. #3542C22semidirect
49. #3541C22semidirect
50. #3541C22semidirect
51. #3541C22semidirect
52. #3540C22semidirect
53. #3538C22semidirect
54. #3537C22semidirect
55. #3537C22semidirect
56. #3537C22semidirect
57. #3536C22semidirect
58. #3536C22semidirect
59. #3536C22semidirect
60. #3536C22semidirect
61. #3535C22semidirect
62. #3535C22semidirect
63. #3535C22semidirect
64. #3535C22semidirect
65. #3534C22semidirect
66. #3534C22semidirect
67. #3534C22semidirect
68. #3534C22semidirect
69. #3534C22semidirect
70. #3534C22semidirect
71. #3533C22semidirect
72. #3533C22semidirect
73. #3533C22semidirect
74. #3532C22semidirect
75. #3532C22semidirect
76. #3532C22semidirect
77. #3532C22semidirect
78. #3521C22semidirect
79. #3521C22semidirect
80. #3521C22semidirect
81. #3521C22semidirect
82. #3520C22semidirect
83. #3520C22semidirect
84. #3519C22semidirect
85. #3519C22semidirect
86. #3519C22semidirect
87. #3519C22semidirect
88. #3514C22semidirect
89. #3514C22semidirect
90. #3514C22semidirect
91. #3513C22semidirect
92. #3513C22semidirect
93. #3513C22semidirect
94. #3513C22semidirect
95. #3510C22semidirect
96. #3506C22semidirect
97. #3506C22semidirect
98. #3505C22semidirect
99. #3505C22semidirect
100. #3505C22semidirect
101. #3505C22semidirect
102. #3505C22semidirect
103. #3505C22semidirect
104. #3501C22semidirect
105. #3501C22semidirect
106. #3500C22semidirect
107. #3496C22semidirect
108. #3496C22semidirect
109. #3496C22semidirect
110. #3495C22semidirect
111. #3494C22semidirect
112. #3494C22semidirect
113. #3493C22semidirect
114. #3492C22semidirect
115. #3492C22semidirect
116. #3492C22semidirect
117. #3492C22semidirect
118. #3491C22semidirect
119. #3490C22semidirect
120. #3490C22semidirect
121. #3490C22semidirect
122. #3490C22semidirect
123. #3490C22semidirect
124. #3490C22semidirect
125. #3490C22semidirect
126. #3490C22semidirect
127. #3490C22semidirect
128. #3490C22semidirect
129. #3490C22semidirect
130. #3490C22semidirect
131. #3490C22semidirect
132. #3490C22semidirect
133. #3490C22semidirect
134. #3489C22semidirect
135. #3488C22semidirect
136. #3488C22semidirect
137. #3486C22semidirect
138. #3485C22semidirect
139. #3484C22semidirect
140. #3484C22semidirect
141. #3484C22semidirect
142. #3484C22semidirect
143. #3484C22semidirect
144. #3484C22semidirect
145. #3484C22semidirect
146. #3481C22semidirect
147. #3475C22semidirect
148. C2×#551C22semidirect
149. C2×#551C22semidirect
150. D4×#41C22semidirect
151. C2×#546C22semidirect
152. C2×#546C22semidirect
153. #3460C22semidirect
154. #3460C22semidirect
155. #3459C22semidirect
156. #3459C22semidirect
157. #3459C22semidirect
158. C2×#543C22semidirect
159. #3455C22semidirect
160. C2×#538C22semidirect
161. C2×#538C22semidirect
162. C2×#538C22semidirect
163. C2×#538C22semidirect
164. C2×#538C22semidirect
165. C2×#538C22semidirect
166. C2×#538C22semidirect
167. C2×#538C22semidirect
168. C2×#534C22semidirect
169. #3444C22semidirect
170. C22×#126C22semidirect
171. C22×#124C22semidirect
172. C2×#525C22semidirect
173. C2×#525C22semidirect
174. C2×#525C22semidirect
175. C22×#123C22semidirect
176. C22×C22⋊Q8C22semidirect
177. C22×#121C22semidirect
178. C22×#121C22semidirect
179. C22×#120C22semidirect
180. C22×#120C22semidirect
181. C4×H(5,𝔽2)C22semidirect
182. C2×#518C22semidirect
183. C22×C4×D4C22semidirect
184. C23×C22⋊C4C22semidirect
186. C2×2−1+4C23semidirect
188. C2×H(5,𝔽2)C23semidirect
189. C2×H(5,𝔽2)C23semidirect
190. C2×H(5,𝔽2)C23semidirect
191. C22×#41C23semidirect
192. C22×#41C23semidirect
193. C22×#41C23semidirect
194. C23×Q8C23semidirect
201. C23×D4C23semidirect
204. C24×C4C23semidirect
205. #563C23semidirect
206. #563C23semidirect
207. #563C23semidirect
208. #563C23semidirect
209. #563C23semidirect
210. #563C23semidirect
211. #562C23semidirect
212. #562C23semidirect
213. #562C23semidirect
214. #562C23semidirect
215. #562C23semidirect
216. #562C23semidirect
217. #562C23semidirect
218. #562C23semidirect
219. H(3,𝔽4)C23semidirect
220. H(3,𝔽4)C23semidirect
221. #560C23semidirect
222. #560C23semidirect
223. #560C23semidirect
224. #560C23semidirect
225. #560C23semidirect
226. #560C23semidirect
227. #560C23semidirect
228. #560C23semidirect
229. #559C23semidirect
230. #559C23semidirect
231. #559C23semidirect
232. #559C23semidirect
233. #556C23semidirect
234. #556C23semidirect
235. #556C23semidirect
236. #556C23semidirect
237. #556C23semidirect
238. #556C23semidirect
239. #556C23semidirect
240. #555C23semidirect
241. #555C23semidirect
242. #555C23semidirect
243. #555C23semidirect
244. #555C23semidirect
245. #554C23semidirect
246. #554C23semidirect
247. #554C23semidirect
248. #554C23semidirect
249. #554C23semidirect
250. #554C23semidirect
251. #554C23semidirect
252. #554C23semidirect
253. #553C23semidirect
254. #553C23semidirect
255. #553C23semidirect
256. #553C23semidirect
257. #553C23semidirect
258. #553C23semidirect
259. #553C23semidirect
260. #553C23semidirect
261. #553C23semidirect
262. #553C23semidirect
263. #553C23semidirect
264. #553C23semidirect
265. #553C23semidirect
266. #553C23semidirect
267. #553C23semidirect
268. #553C23semidirect
269. #553C23semidirect
270. #553C23semidirect
271. #553C23semidirect
272. #553C23semidirect
273. #553C23semidirect
274. #552C23semidirect
275. #552C23semidirect
276. #552C23semidirect
277. #552C23semidirect
278. #552C23semidirect
279. #552C23semidirect
280. #552C23semidirect
281. #552C23semidirect
282. #552C23semidirect
283. #552C23semidirect
284. #552C23semidirect
285. #552C23semidirect
286. #552C23semidirect
287. #551C23semidirect
288. #551C23semidirect
289. #551C23semidirect
290. #551C23semidirect
291. #551C23semidirect
292. #551C23semidirect
293. #551C23semidirect
294. #551C23semidirect
295. #551C23semidirect
296. #551C23semidirect
297. #551C23semidirect
298. #551C23semidirect
299. #551C23semidirect
300. #551C23semidirect
301. #551C23semidirect
302. #551C23semidirect
303. #551C23semidirect
304. #551C23semidirect
305. #551C23semidirect
306. #551C23semidirect
307. #551C23semidirect
308. #551C23semidirect
309. #551C23semidirect
310. #551C23semidirect
311. #551C23semidirect
312. #551C23semidirect
313. #551C23semidirect
314. #551C23semidirect
315. #551C23semidirect
316. #551C23semidirect
317. #551C23semidirect
318. #551C23semidirect
319. #550C23semidirect
320. #550C23semidirect
321. #550C23semidirect
322. D4×Q8C23semidirect
323. D4×Q8C23semidirect
324. D4×Q8C23semidirect
325. D4×Q8C23semidirect
326. #548C23semidirect
327. #548C23semidirect
328. #548C23semidirect
329. #548C23semidirect
330. #548C23semidirect
331. #548C23semidirect
332. #548C23semidirect
333. #548C23semidirect
334. #548C23semidirect
335. #547C23semidirect
336. #547C23semidirect
337. #547C23semidirect
338. #547C23semidirect
339. #547C23semidirect
340. #547C23semidirect
341. #547C23semidirect
342. #547C23semidirect
343. #547C23semidirect
344. #547C23semidirect
345. #547C23semidirect
346. #546C23semidirect
347. #546C23semidirect
348. #546C23semidirect
349. #546C23semidirect
350. #546C23semidirect
351. #546C23semidirect
352. #546C23semidirect
353. #546C23semidirect
354. #546C23semidirect
355. #546C23semidirect
356. #546C23semidirect
357. #546C23semidirect
358. #546C23semidirect
359. #546C23semidirect
360. #546C23semidirect
361. #546C23semidirect
362. #546C23semidirect
363. #546C23semidirect
364. #546C23semidirect
365. #546C23semidirect
366. #546C23semidirect
367. #546C23semidirect
368. #546C23semidirect
369. #546C23semidirect
370. #546C23semidirect
371. #546C23semidirect
372. #546C23semidirect
373. #546C23semidirect
374. #546C23semidirect
375. #546C23semidirect
376. #546C23semidirect
377. #546C23semidirect
378. #546C23semidirect
379. #546C23semidirect
380. #546C23semidirect
381. #546C23semidirect
382. #546C23semidirect
383. #546C23semidirect
384. #546C23semidirect
385. #546C23semidirect
386. #546C23semidirect
387. #546C23semidirect
388. #546C23semidirect
389. #546C23semidirect
390. #546C23semidirect
391. D42C23semidirect
392. D42C23semidirect
393. D42C23semidirect
394. D42C23semidirect
395. D42C23semidirect
396. D42C23semidirect
397. D42C23semidirect
398. D42C23semidirect
399. D42C23semidirect
400. D42C23semidirect
401. D42C23semidirect
402. D42C23semidirect
403. D42C23semidirect
404. D42C23semidirect
405. #544C23semidirect
406. #544C23semidirect
407. #544C23semidirect
408. #544C23semidirect
409. #544C23semidirect
411. #543C23semidirect
412. #543C23semidirect
413. #543C23semidirect
414. #543C23semidirect
415. #543C23semidirect
416. #543C23semidirect
417. #543C23semidirect
418. #543C23semidirect
419. #542C23semidirect
420. #542C23semidirect
421. #542C23semidirect
422. #542C23semidirect
423. #542C23semidirect
424. #542C23semidirect
425. #542C23semidirect
426. #542C23semidirect
427. #542C23semidirect
428. #542C23semidirect
429. #542C23semidirect
430. #542C23semidirect
431. #542C23semidirect
432. #542C23semidirect
433. #542C23semidirect
434. #542C23semidirect
435. #541C23semidirect
436. #541C23semidirect
437. #541C23semidirect
438. #541C23semidirect
439. #540C23semidirect
440. #540C23semidirect
441. #540C23semidirect
442. #540C23semidirect
443. #540C23semidirect
444. #540C23semidirect
445. #540C23semidirect
446. #540C23semidirect
447. #539C23semidirect
448. #539C23semidirect
449. #539C23semidirect
450. #539C23semidirect
451. #539C23semidirect
452. #539C23semidirect
453. #539C23semidirect
454. #539C23semidirect
455. #539C23semidirect
456. #539C23semidirect
457. #539C23semidirect
458. #539C23semidirect
459. #539C23semidirect
460. #539C23semidirect
461. #539C23semidirect
462. #539C23semidirect
463. #539C23semidirect
464. #539C23semidirect
465. #539C23semidirect
477. #538C23semidirect
478. #538C23semidirect
479. #538C23semidirect
480. #538C23semidirect
481. #538C23semidirect
482. #538C23semidirect
483. #538C23semidirect
484. #538C23semidirect
485. #538C23semidirect
486. #538C23semidirect
487. #538C23semidirect
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. #538C23semidirect
503. #538C23semidirect
504. #538C23semidirect
505. #538C23semidirect
506. #538C23semidirect
507. #538C23semidirect
508. #538C23semidirect
509. #538C23semidirect
510. #538C23semidirect
511. #538C23semidirect
512. #538C23semidirect
513. #538C23semidirect
514. #538C23semidirect
515. #538C23semidirect
516. #537C23semidirect
517. #537C23semidirect
518. #537C23semidirect
519. #537C23semidirect
520. #537C23semidirect
521. #537C23semidirect
522. #537C23semidirect
523. #537C23semidirect
524. #537C23semidirect
525. #536C23semidirect
526. #536C23semidirect
527. #536C23semidirect
528. #536C23semidirect
529. #536C23semidirect
532. #535C23semidirect
533. #535C23semidirect
534. #535C23semidirect
535. #535C23semidirect
536. #535C23semidirect
537. #535C23semidirect
538. #535C23semidirect
539. #535C23semidirect
544. #534C23semidirect
545. #534C23semidirect
546. #534C23semidirect
547. #534C23semidirect
548. #534C23semidirect
549. #534C23semidirect
550. #534C23semidirect
551. #534C23semidirect
552. #534C23semidirect
553. #534C23semidirect
554. #534C23semidirect
555. #534C23semidirect
556. #534C23semidirect
557. #534C23semidirect
558. #534C23semidirect
559. #534C23semidirect
560. #534C23semidirect
561. #533C23semidirect
562. #533C23semidirect
563. #533C23semidirect
564. #533C23semidirect
565. #532C23semidirect
566. #532C23semidirect
567. #532C23semidirect
568. #532C23semidirect
569. #532C23semidirect
570. #532C23semidirect
571. #532C23semidirect
572. #529C23semidirect
573. #529C23semidirect
574. #529C23semidirect
575. #529C23semidirect
576. #529C23semidirect
577. #529C23semidirect
578. #529C23semidirect
579. #529C23semidirect
580. #529C23semidirect
581. #529C23semidirect
582. #529C23semidirect
583. #529C23semidirect
584. #529C23semidirect
585. #529C23semidirect
586. #529C23semidirect
587. #529C23semidirect
588. #529C23semidirect
589. #529C23semidirect
590. #529C23semidirect
591. C2×#126C23semidirect
592. C2×#126C23semidirect
593. C2×#126C23semidirect
594. C2×#126C23semidirect
595. C2×#126C23semidirect
596. C2×#126C23semidirect
597. C2×#126C23semidirect
598. C2×#124C23semidirect
599. C2×#124C23semidirect
600. C2×#124C23semidirect
601. C2×#124C23semidirect
602. C2×#124C23semidirect
603. C2×#124C23semidirect
604. C2×#124C23semidirect
611. #525C23semidirect
612. #525C23semidirect
613. #525C23semidirect
614. #525C23semidirect
615. #525C23semidirect
616. #525C23semidirect
617. #525C23semidirect
618. #525C23semidirect
619. #525C23semidirect
620. #525C23semidirect
621. #525C23semidirect
622. #525C23semidirect
623. #525C23semidirect
624. #525C23semidirect
625. #525C23semidirect
626. #525C23semidirect
627. #525C23semidirect
628. #525C23semidirect
629. #525C23semidirect
630. #525C23semidirect
631. #525C23semidirect
632. #525C23semidirect
633. #525C23semidirect
634. #525C23semidirect
635. C2×#123C23semidirect
636. C2×#123C23semidirect
637. C2×#123C23semidirect
638. C2×#123C23semidirect
639. C2×#123C23semidirect
640. C2×#123C23semidirect
641. C2×#123C23semidirect
642. C2×#123C23semidirect
643. C2×#123C23semidirect
644. C2×#123C23semidirect
645. C2×#123C23semidirect
649. C2×C22⋊Q8C23semidirect
650. C2×C22⋊Q8C23semidirect
651. C2×C22⋊Q8C23semidirect
652. C2×C22⋊Q8C23semidirect
653. C2×C22⋊Q8C23semidirect
654. C2×C22⋊Q8C23semidirect
655. C2×C22⋊Q8C23semidirect
656. C2×C22⋊Q8C23semidirect
657. C2×C22⋊Q8C23semidirect
658. C2×C22⋊Q8C23semidirect
662. C2×#121C23semidirect
663. C2×#121C23semidirect
664. C2×#121C23semidirect
665. C2×#121C23semidirect
666. C2×#121C23semidirect
667. C2×#121C23semidirect
668. C2×#121C23semidirect
669. C2×#121C23semidirect
670. C2×#121C23semidirect
671. C2×#121C23semidirect
672. C2×#121C23semidirect
673. C2×#121C23semidirect
674. C2×#121C23semidirect
675. C2×#121C23semidirect
676. C2×#121C23semidirect
689. C2×#120C23semidirect
690. C2×#120C23semidirect
691. C2×#120C23semidirect
692. #520C23semidirect
693. #520C23semidirect
694. #520C23semidirect
695. #520C23semidirect
696. #520C23semidirect
697. #519C23semidirect
700. #518C23semidirect
701. #518C23semidirect
702. #518C23semidirect
703. #518C23semidirect
704. #518C23semidirect
705. #518C23semidirect
706. #518C23semidirect
707. #518C23semidirect
708. #518C23semidirect
709. #518C23semidirect
710. #518C23semidirect
711. C4×#41C23semidirect
712. C4×#41C23semidirect
713. C4×#41C23semidirect
714. C4×#41C23semidirect
719. C2×C4×D4C23semidirect
720. C2×C4×D4C23semidirect
721. C2×C4×D4C23semidirect
722. C2×C4×D4C23semidirect
723. C2×C4×D4C23semidirect
724. C2×C4×D4C23semidirect
725. C2×C4×D4C23semidirect
726. C2×C4×D4C23semidirect
727. C2×C4×D4C23semidirect
728. C2×C4×D4C23semidirect
729. C2×C4×D4C23semidirect
730. C2×#117C23semidirect
731. C2×#117C23semidirect
732. C2×#117C23semidirect
733. C2×#117C23semidirect
734. C22×C4⋊C4C23semidirect
735. C22×C4⋊C4C23semidirect
736. C22×C4⋊C4C23semidirect
737. C22×C4⋊C4C23semidirect
751. C22×C22⋊C4C23semidirect
752. C22×C22⋊C4C23semidirect
753. C22×C22⋊C4C23semidirect
754. C22×C42C23semidirect
786. C2×#41C24semidirect
787. C2×#41C24semidirect
788. C2×#41C24semidirect
789. C2×#41C24semidirect
796. C22×Q8C24semidirect
797. C22×Q8C24semidirect
838. C22×D4C24semidirect
839. C22×D4C24semidirect
867. C23×C4C24semidirect
868. C4⋊Q8C24semidirect
869. C4⋊Q8C24semidirect
870. C4⋊Q8C24semidirect
871. C4⋊Q8C24semidirect
872. C4⋊Q8C24semidirect
873. C4⋊Q8C24semidirect
874. C4⋊Q8C24semidirect
875. C4⋊Q8C24semidirect
876. C4⋊Q8C24semidirect
880. #127C24semidirect
881. #127C24semidirect
896. #126C24semidirect
897. #126C24semidirect
898. #126C24semidirect
899. #126C24semidirect
900. #126C24semidirect
901. #126C24semidirect
902. #126C24semidirect
903. #126C24semidirect
904. #126C24semidirect
905. #126C24semidirect
906. #126C24semidirect
907. #126C24semidirect
908. #125C24semidirect
909. #125C24semidirect
910. #125C24semidirect
911. #125C24semidirect
912. #125C24semidirect
913. #125C24semidirect
914. #125C24semidirect
915. #125C24semidirect
916. #125C24semidirect
917. #125C24semidirect
918. #125C24semidirect
919. #125C24semidirect
920. #125C24semidirect
938. #124C24semidirect
939. #124C24semidirect
940. #124C24semidirect
941. #124C24semidirect
942. #124C24semidirect
943. #124C24semidirect
944. #124C24semidirect
945. #124C24semidirect
946. #124C24semidirect
947. #124C24semidirect
982. #123C24semidirect
983. #123C24semidirect
984. #123C24semidirect
985. #123C24semidirect
986. #123C24semidirect
987. #123C24semidirect
988. #123C24semidirect
989. #123C24semidirect
990. #123C24semidirect
991. #123C24semidirect
992. #123C24semidirect
993. #123C24semidirect
994. #123C24semidirect
995. #123C24semidirect
996. #123C24semidirect
1029. C22⋊Q8C24semidirect
1030. C22⋊Q8C24semidirect
1031. C22⋊Q8C24semidirect
1032. C22⋊Q8C24semidirect
1033. C22⋊Q8C24semidirect
1034. C22⋊Q8C24semidirect
1035. C22⋊Q8C24semidirect
1036. C22⋊Q8C24semidirect
1037. C22⋊Q8C24semidirect
1038. C22⋊Q8C24semidirect
1039. C22⋊Q8C24semidirect
1040. C22⋊Q8C24semidirect
1041. C22⋊Q8C24semidirect
1042. C22⋊Q8C24semidirect
1043. C22⋊Q8C24semidirect
1044. C22⋊Q8C24semidirect
1045. C22⋊Q8C24semidirect
1046. C22⋊Q8C24semidirect
1047. C22⋊Q8C24semidirect
1048. C22⋊Q8C24semidirect
1049. C22⋊Q8C24semidirect
1050. C22⋊Q8C24semidirect
1105. #121C24semidirect
1106. #121C24semidirect
1107. #121C24semidirect
1108. #121C24semidirect
1109. #121C24semidirect
1110. #121C24semidirect
1111. #121C24semidirect
1112. #121C24semidirect
1113. #121C24semidirect
1114. #121C24semidirect
1115. #121C24semidirect
1116. #121C24semidirect
1117. #121C24semidirect
1118. #121C24semidirect
1119. #121C24semidirect
1120. #121C24semidirect
1149. #120C24semidirect
1150. #120C24semidirect
1151. #120C24semidirect
1152. C4×Q8C24semidirect
1153. C4×Q8C24semidirect
1154. C4×Q8C24semidirect
1155. C4×Q8C24semidirect
1156. C4×Q8C24semidirect
1157. C4×Q8C24semidirect
1158. C4×Q8C24semidirect
1159. C4×Q8C24semidirect
1160. C4×Q8C24semidirect
1161. C4×Q8C24semidirect
1162. C4×Q8C24semidirect
1163. C4×Q8C24semidirect
1206. C4×D4C24semidirect
1207. C4×D4C24semidirect
1208. C4×D4C24semidirect
1209. C4×D4C24semidirect
1210. C4×D4C24semidirect
1211. C4×D4C24semidirect
1212. C4×D4C24semidirect
1213. C4×D4C24semidirect
1214. C4×D4C24semidirect
1215. C4×D4C24semidirect
1216. C4×D4C24semidirect
1217. C4×D4C24semidirect
1218. C4×D4C24semidirect
1219. C4×D4C24semidirect
1220. C4×D4C24semidirect
1221. C4×D4C24semidirect
1222. C4×D4C24semidirect
1223. C4×D4C24semidirect
1224. C4×D4C24semidirect
1225. C4×D4C24semidirect
1240. #117C24semidirect
1241. #117C24semidirect
1242. #117C24semidirect
1243. #117C24semidirect
1244. #117C24semidirect
1245. #117C24semidirect
1246. #117C24semidirect
1247. #117C24semidirect
1248. #117C24semidirect
1249. #117C24semidirect
1250. #117C24semidirect
1272. C2×C4⋊C4C24semidirect
1273. C2×C4⋊C4C24semidirect
1274. C2×C4⋊C4C24semidirect
1275. C2×C4⋊C4C24semidirect
1276. C2×C4⋊C4C24semidirect
1277. C2×C4⋊C4C24semidirect
1278. C2×C4⋊C4C24semidirect
1279. C2×C4⋊C4C24semidirect
1335. C2×C22⋊C4C24semidirect
1336. C2×C22⋊C4C24semidirect
1337. C2×C22⋊C4C24semidirect
1338. C2×C22⋊C4C24semidirect
1345. C2×C42C24semidirect
1346. C2×C42C24semidirect

Maximal subgroups

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

subgroupindex
#629332
#629182
#629062
#628962
#628672
#628642
#628632
#628462
#628262
#628242
#628202
#628192
#628182
#628172
#627732
C2×#34902
C22×#5382