Finite Group Databasebeta

← C2×#38097 #7635430

Subgroups — C2×#38097 #7635430

Order 512.

6938 conjugacy classes of subgroups.

The subgroup lattice has 1478 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2807C211yesmaximal, characteristic, complemented
2C2×#2790C211yesmaximal, characteristic, complemented
3C2×#2790C211yesmaximal, characteristic, complemented
4C2×#2788C211yesmaximal, characteristic, complemented
5C2×#2768C211yesmaximal, characteristic, complemented
6C2×#2763C211yesmaximal, characteristic, complemented
7C2×#2729C211yesmaximal, characteristic, complemented
8C2×#2720C211yesmaximal, characteristic, complemented
9#38097C2132yesmaximal, direct product factor
10C2×#2848C211yesmaximal, characteristic
11C2×#2583C211yesmaximal, characteristic, complemented
12C2×#2549C211yesmaximal, characteristic, complemented
13C2×#2502C211yesmaximal, characteristic, complemented
14C2×#2505C211yesmaximal, characteristic, complemented
15C2×#2505C211yesmaximal, characteristic, complemented
16C2×#2505C211yesmaximal, characteristic, complemented
17C2×#2438C211yesmaximal, characteristic, complemented
18C2×#2438C211yesmaximal, characteristic, complemented
19C2×#2442C211yesmaximal, characteristic, complemented
20C2×#2440C211yesmaximal, characteristic, complemented
21C2×#2440C211yesmaximal, characteristic, complemented
22C2×#2473C211yesmaximal, characteristic, complemented
23C2×#2437C211yesmaximal, characteristic
24C2×#2437C211yesmaximal, characteristic
25C2×#2646C211yesmaximal, characteristic, complemented
26C2×#2627C211yesmaximal, characteristic, complemented
27C2×#2342C211yesmaximal, characteristic
28C2×#2342C211yesmaximal, characteristic
29C2×#2329C211yesmaximal, characteristic, complemented
30C2×#2317C211yesmaximal, characteristic, complemented
31C22×#385C211yesmaximal, characteristic
32C22×#385C211yesmaximal, characteristic
33C25×C4C2211yescharacteristic
34C22×C4⋊Q8C2211yescharacteristic, complemented
35C22×#125C2211yescharacteristic, complemented
36C22×C22⋊Q8C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C22×#117C2211yescharacteristic
44C22×#117C2211yescharacteristic
45C23×C4⋊C4C2211yescharacteristic
46C23×C4⋊C4C2211yescharacteristic
47C23×C4⋊C4C2211yescharacteristic
48C23×C4⋊C4C2211yescharacteristic
49C23×C22⋊C4C2211yescharacteristic
50C23×C22⋊C4C2211yescharacteristic
51C23×C22⋊C4C2211yescharacteristic
52C23×C22⋊C4C2211yescharacteristic
53#2848C22116yes—
54#2807C22116yescomplemented
55#2790C22116yescomplemented
56#2790C22116yescomplemented
57#2788C22116yescomplemented
58#2768C22116yescomplemented
59#2763C22116yescomplemented
60#2729C22116yescomplemented
61#2720C22116yescomplemented
62#2646C22116yescomplemented
63#2627C22116yescomplemented
64#2583C22116yescomplemented
65#2549C22116yescomplemented
66#2505C22116yescomplemented
67#2505C22116yescomplemented
68#2505C22116yescomplemented
69#2502C22116yescomplemented
70#2473C22116yescomplemented
71#2442C22116yescomplemented
72#2440C22116yescomplemented
73#2440C22116yescomplemented
74#2438C22116yescomplemented
75#2438C22116yescomplemented
76#2437C22116yes—
77#2437C22116yes—
78C2×#400C2211yescharacteristic, complemented
79C2×#400C2211yescharacteristic, complemented
80C2×#400C2211yescharacteristic, complemented
81C2×#400C2211yescharacteristic, complemented
82C2×#400C2211yescharacteristic, complemented
83C2×#400C2211yescharacteristic, complemented
84C2×#400C2211yescharacteristic, complemented
85C2×#400C2211yescharacteristic, complemented
86C2×#400C2211yescharacteristic, complemented
87C2×#400C2211yescharacteristic, complemented
88C2×#399C2211yescharacteristic
89C2×#399C2211yescharacteristic
90C2×#398C2211yescharacteristic, complemented
91C2×#398C2211yescharacteristic, complemented
92C2×#398C2211yescharacteristic, complemented
93C2×#398C2211yescharacteristic, complemented
94C2×#398C2211yescharacteristic, complemented
95C2×#398C2211yescharacteristic, complemented
96C2×#398C2211yescharacteristic, complemented
97C2×#398C2211yescharacteristic, complemented
98C2×#398C2211yescharacteristic, complemented
99C2×#398C2211yescharacteristic, complemented
100C2×#398C2211yescharacteristic, complemented
101C2×#398C2211yescharacteristic, complemented
102C2×#398C2211yescharacteristic, complemented
103C2×#398C2211yescharacteristic, complemented
104C2×#398C2211yescharacteristic, complemented
105C2×#398C2211yescharacteristic, complemented
106C2×#396C2211yescharacteristic
107C2×#396C2211yescharacteristic
108C2×#396C2211yescharacteristic
109C2×#396C2211yescharacteristic
110C2×#395C2211yescharacteristic, complemented
111C2×#395C2211yescharacteristic, complemented
112C2×#395C2211yescharacteristic, complemented
113C2×#395C2211yescharacteristic, complemented
114C2×#395C2211yescharacteristic, complemented
115C2×#395C2211yescharacteristic, complemented
116C2×#393C2211yescharacteristic
117C2×#393C2211yescharacteristic
118#2342C22116yes—
119#2342C22116yes—
120#2329C22116yescomplemented
121#2317C22116yescomplemented
122C2×#391C2211yescharacteristic, complemented
123C2×#391C2211yescharacteristic, complemented
124C2×#391C2211yescharacteristic, complemented
125C2×#391C2211yescharacteristic, complemented
126C2×#389C2211yescharacteristic, complemented
127C2×#389C2211yescharacteristic, complemented
128C2×#389C2211yescharacteristic, complemented
129C2×#389C2211yescharacteristic, complemented
130C2×#389C2211yescharacteristic, complemented
131C2×#389C2211yescharacteristic, complemented
132C2×#389C2211yescharacteristic, complemented
133C2×#389C2211yescharacteristic, complemented
134C2×#389C2211yescharacteristic, complemented
135C2×#389C2211yescharacteristic, complemented
136C2×#389C2211yescharacteristic, complemented
137C2×#389C2211yescharacteristic, complemented
138C2×#388C2211yescharacteristic
139C2×#388C2211yescharacteristic
140C2×#388C2211yescharacteristic
141C2×#388C2211yescharacteristic
142C2×#388C2211yescharacteristic
143C2×#388C2211yescharacteristic
144C2×#388C2211yescharacteristic
145C2×#388C2211yescharacteristic
146C2×#387C2211yescharacteristic, complemented
147C2×#387C2211yescharacteristic, complemented
148C2×#387C2211yescharacteristic, complemented
149C2×#387C2211yescharacteristic, complemented
150C2×#387C2211yescharacteristic, complemented
151C2×#387C2211yescharacteristic, complemented
152C2×#387C2211yescharacteristic, complemented
153C2×#387C2211yescharacteristic, complemented
154C2×#385C2211yescharacteristic
155C2×#385C2211yescharacteristic
156C2×#385C2211yescharacteristic
157C2×#385C2211yescharacteristic
158C2×#385C2211yescharacteristic
159C2×#385C2211yescharacteristic
160C2×#385C2211yescharacteristic
161C2×#385C2211yescharacteristic
162C2×#385C2211yescharacteristic
163C2×#385C2211yescharacteristic
164C2×#385C2211yescharacteristic
165C2×#385C2211yescharacteristic
166C2×#385C2211yescharacteristic
167C2×#385C2211yescharacteristic
168C2×#385C2211yescharacteristic
169C2×#385C2211yescharacteristic
170C2×#385C2211yescharacteristic
171C2×#385C2211yescharacteristic
172C2×#385C2211yescharacteristic
173C2×#385C2211yescharacteristic
174C2×#385C2211yescharacteristic
175C2×#385C2211yescharacteristic
176C2×#385C2211yescharacteristic
177C2×#385C2211yescharacteristic
178C2×#385C2211yescharacteristic
179C2×#385C2211yescharacteristic
180C2×#385C2211yescharacteristic
181C2×#385C2211yescharacteristic
182C2×#385C2211yescharacteristic
183C2×#385C2211yescharacteristic
184C2×#385C2211yescharacteristic
185C2×#385C2211yescharacteristic
186C2×#385C2211yescharacteristic
187C2×#385C2211yescharacteristic
188C2×#385C22116yes—
189C2×#385C22116yes—
190C2×#384C2211yescharacteristic, complemented
191C2×#384C2211yescharacteristic, complemented
192C2×#384C2211yescharacteristic, complemented
193C2×#382C2211yescharacteristic, complemented
194C2×#382C2211yescharacteristic, complemented
195C2×#382C2211yescharacteristic, complemented
196C2×#381C2211yescharacteristic
197C2×#381C2211yescharacteristic
198C2×#380C2211yescharacteristic
199C2×#380C2211yescharacteristic
200C2×#380C2211yescharacteristic
201C2×#380C2211yescharacteristic
202C2×#380C2211yescharacteristic
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic
205C2×#380C2211yescharacteristic
206C2×#380C2211yescharacteristic
207C2×#379C2211yescharacteristic
208C2×#379C2211yescharacteristic
209C2×C4×C22⋊C4C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic
214C2×C4×C22⋊C4C2211yescharacteristic
215C22×#95C2211yescharacteristic
216C22×#95C2211yescharacteristic
217C22×#95C2211yescharacteristic
218C22×#95C2211yescharacteristic
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C24×C4—44no—
224C24×C4—44no—
225C24×C4—44no—
226C24×C4C2311yescharacteristic
227C24×C4C2311yescharacteristic
228C24×C4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2318yes—
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C2×C4⋊Q8—44no—
242C2×C4⋊Q8C2318yescomplemented
243C2×#125—44no—
244C2×#125C2318yescomplemented
245C2×C22⋊Q8—28no—
246C2×C22⋊Q8—44no—
247C2×C22⋊Q8—44no—
248C2×C22⋊Q8—44no—
249C2×C22⋊Q8—44no—
250C2×C22⋊Q8—44no—
251C2×C22⋊Q8—44no—
252C2×C22⋊Q8C2318yes—
253C2×C22⋊Q8C2318yes—
254C2×C22⋊Q8C2318yes—
255C2×C22⋊Q8C2318yes—
256C2×C22⋊Q8C2318yes—
257C2×C22⋊Q8C2318yes—
258C2×C22⋊Q8C2318yes—
259C2×#117—28no—
260C2×#117—44no—
261C2×#117C2318yes—
262C2×#117C2318yes—
263C22×C4⋊C4—44no—
264C22×C4⋊C4—44no—
265C22×C4⋊C4—44no—
266C22×C4⋊C4—44no—
267C22×C4⋊C4C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2318yes—
278C22×C4⋊C4C2318yes—
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2318yes—
319C22×C4⋊C4C2318yes—
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C22⋊C4—28no—
323C22×C22⋊C4—44no—
324C22×C22⋊C4—44no—
325C22×C22⋊C4Q8116yescomplemented
326C22×C22⋊C4C2318yes—
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2318yes—
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2318yes—
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2318yes—
357C22×C22⋊C4C2311yescharacteristic
358C22×C42C2311yescharacteristic
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366#400C2318yescomplemented
367#400C2318yescomplemented
368#400C2318yescomplemented
369#400C2318yescomplemented
370#400C2318yescomplemented
371#400C2318yescomplemented
372#400C2318yescomplemented
373#400C2318yescomplemented
374#400C2318yescomplemented
375#400C2318yescomplemented
376#399C2318yes—
377#399C2318yes—
378#398C2318yescomplemented
379#398C2318yescomplemented
380#398C2318yescomplemented
381#398C2318yescomplemented
382#398C2318yescomplemented
383#398C2318yescomplemented
384#398C2318yescomplemented
385#398C2318yescomplemented
386#398C2318yescomplemented
387#398C2318yescomplemented
388#398C2318yescomplemented
389#398C2318yescomplemented
390#398C2318yescomplemented
391#398C2318yescomplemented
392#398C2318yescomplemented
393#398C2318yescomplemented
394#396C2318yes—
395#396C2318yes—
396#396C2318yes—
397#396C2318yes—
398#395C2318yescomplemented
399#395C2318yescomplemented
400#395C2318yescomplemented
401#395C2318yescomplemented
402#395C2318yescomplemented
403#395C2318yescomplemented
404#393C2318yes—
405#393C2318yes—
406#391C2318yescomplemented
407#391C2318yescomplemented
408#391C2318yescomplemented
409#391C2318yescomplemented
410#389C2318yescomplemented
411#389C2318yescomplemented
412#389C2318yescomplemented
413#389C2318yescomplemented
414#389C2318yescomplemented
415#389C2318yescomplemented
416#389C2318yescomplemented
417#389C2318yescomplemented
418#389C2318yescomplemented
419#389C2318yescomplemented
420#389C2318yescomplemented
421#389C2318yescomplemented
422#388C2318yes—
423#388C2318yes—
424#388C2318yes—
425#388C2318yes—
426#388C2318yes—
427#388C2318yes—
428#388C2318yes—
429#388C2318yes—
430#387C2318yescomplemented
431#387C2318yescomplemented
432#387C2318yescomplemented
433#387C2318yescomplemented
434#387C2318yescomplemented
435#387C2318yescomplemented
436#387C2318yescomplemented
437#387C2318yescomplemented
438#385C2318yes—
439#385C2318yes—
440#385C2318yes—
441#385C2318yes—
442#385C2318yes—
443#385C2318yes—
444#385C2318yes—
445#385C2318yes—
446#385C2318yes—
447#385C2318yes—
448#385C2318yes—
449#385C2318yes—
450#385C2318yes—
451#385C2318yes—
452#385C2318yes—
453#385C2318yes—
454#385C2318yes—
455#385C2318yes—
456#385C2318yes—
457#385C2318yes—
458#385C2318yes—
459#385C2318yes—
460#385C2318yes—
461#385C2318yes—
462#385C2318yes—
463#385C2318yes—
464#385C2318yes—
465#385C2318yes—
466#385C2318yes—
467#385C2318yes—
468#385C2318yes—
469#385C2318yes—
470#385C2318yes—
471#385C2318yes—
472#384C2318yescomplemented
473#384C2318yescomplemented
474#384C2318yescomplemented
475#382C2318yescomplemented
476#382C2318yescomplemented
477#382C2318yescomplemented
478#381C2318yes—
479#381C2318yes—
480#380C2318yes—
481#380C2318yes—
482#380C2318yes—
483#380C2318yes—
484#380C2318yes—
485#380C2318yes—
486#380C2318yes—
487#380C2318yes—
488#380C2318yes—
489#379C2318yes—
490#379C2318yes—
491C4×C22⋊C4C2318yes—
492C4×C22⋊C4C2318yes—
493C4×C22⋊C4C2318yes—
494C4×C22⋊C4C2318yes—
495C4×C22⋊C4C2318yes—
496C4×C22⋊C4C2318yes—
497C2×#95C2318yes—
498C2×#95C2311yescharacteristic
499C2×#95C2311yescharacteristic
500C2×#95C2311yescharacteristic
501C2×#95C2311yescharacteristic
502C2×#95C2311yescharacteristic
503C2×#95C2311yescharacteristic
504C2×#95C2311yescharacteristic
505C2×#95C2311yescharacteristic
506C2×#95C2311yescharacteristic
507C2×#95C2311yescharacteristic
508C2×#95C2311yescharacteristic
509C2×#95C2311yescharacteristic
510C2×#95C2311yescharacteristic
511C2×#95C2311yescharacteristic
512C2×#95C2311yescharacteristic
513C2×#95C2311yescharacteristic
514C2×#95C2311yescharacteristic
515C2×#95C2311yescharacteristic
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2318yes—
547C2×#95C2318yes—
548C2×#95C2318yes—
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C25—24no—
552C25—24no—
553C25—24no—
554C25—24no—
555C25—42no—
556C25—42no—
557C25C2×Q818yes—
558C25C2411yescharacteristic
559C25C2414yes—
560C25C2411yescharacteristic
561C25C2411yescharacteristic
562C22×Q8—24no—
563C22×Q8—24no—
564C22×Q8—42no—
565C22×Q8—42no—
566C22×Q8—42no—
567C22×Q8—42no—
568C22×Q8—42no—
569C22×Q8—42no—
570C22×Q8—42no—
571C22×Q8C2414yes—
572C22×Q8C2414yes—
573C22×Q8C2414yes—
574C23×C4—24no—
575C23×C4—24no—
576C23×C4—24no—
577C23×C4—24no—
578C23×C4—24no—
579C23×C4—24no—
580C23×C4—24no—
581C23×C4—24no—
582C23×C4—24no—
583C23×C4—24no—
584C23×C4—24no—
585C23×C4—24no—
586C23×C4—24no—
587C23×C4—24no—
588C23×C4—24no—
589C23×C4—24no—
590C23×C4—24no—
591C23×C4—416no—
592C23×C4—42no—
593C23×C4—42no—
594C23×C4—42no—
595C23×C4—42no—
596C23×C4—42no—
597C23×C4—42no—
598C23×C4—42no—
599C23×C4—42no—
600C23×C4—42no—
601C23×C4—42no—
602C23×C4—42no—
603C23×C4—42no—
604C23×C4—42no—
605C23×C4—416no—
606C23×C4—416no—
607C23×C4—42no—
608C23×C4—42no—
609C23×C4—42no—
610C23×C4—42no—
611C23×C4—42no—
612C23×C4—42no—
613C23×C4—42no—
614C23×C4—42no—
615C23×C4—42no—
616C23×C4—42no—
617C23×C4—464no—
618C23×C4C2×Q818yes—
619C23×C4C2×Q818yes—
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625C23×C4C2411yescharacteristic
626C23×C4C2411yescharacteristic
627C23×C4C2411yescharacteristic
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637C23×C4C2411yescharacteristic
638C23×C4C2411yescharacteristic
639C23×C4C2411yescharacteristic
640C23×C4C2411yescharacteristic
641C23×C4C2414yes—
642C23×C4C2414yes—
643C23×C4C2414yes—
644C23×C4C2414yes—
645C23×C4C2414yes—
646C23×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2414yes—
654C23×C4C2414yes—
655C23×C4C2414yes—
656C23×C4C2414yes—
657C23×C4C2414yes—
658C23×C4C2414yes—
659C23×C4C2414yes—
660C23×C4C2414yes—
661C23×C4C2414yes—
662C4⋊Q8—416no—
663#125—416no—
664C22⋊Q8—232no—
665C22⋊Q8—416no—
666C22⋊Q8—416no—
667C22⋊Q8—416no—
668C22⋊Q8—416no—
669C22⋊Q8—416no—
670C22⋊Q8—416no—
671#117—232no—
672#117—416no—
673C2×C4⋊C4—24no—
674C2×C4⋊C4—24no—
675C2×C4⋊C4—24no—
676C2×C4⋊C4—24no—
677C2×C4⋊C4—24no—
678C2×C4⋊C4—24no—
679C2×C4⋊C4—24no—
680C2×C4⋊C4—24no—
681C2×C4⋊C4—24no—
682C2×C4⋊C4—24no—
683C2×C4⋊C4—416no—
684C2×C4⋊C4—416no—
685C2×C4⋊C4—42no—
686C2×C4⋊C4—42no—
687C2×C4⋊C4—42no—
688C2×C4⋊C4—42no—
689C2×C4⋊C4—42no—
690C2×C4⋊C4—42no—
691C2×C4⋊C4—42no—
692C2×C4⋊C4—42no—
693C2×C4⋊C4—42no—
694C2×C4⋊C4—416no—
695C2×C4⋊C4—42no—
696C2×C4⋊C4—42no—
697C2×C4⋊C4—42no—
698C2×C4⋊C4—416no—
699C2×C4⋊C4—42no—
700C2×C4⋊C4—42no—
701C2×C4⋊C4—42no—
702C2×C4⋊C4—42no—
703C2×C4⋊C4—42no—
704C2×C4⋊C4—42no—
705C2×C4⋊C4—42no—
706C2×C4⋊C4—42no—
707C2×C4⋊C4—42no—
708C2×C4⋊C4—42no—
709C2×C4⋊C4—42no—
710C2×C4⋊C4—42no—
711C2×C4⋊C4—42no—
712C2×C4⋊C4—42no—
713C2×C4⋊C4—42no—
714C2×C4⋊C4—42no—
715C2×C4⋊C4—42no—
716C2×C4⋊C4—42no—
717C2×C4⋊C4—42no—
718C2×C4⋊C4—42no—
719C2×C4⋊C4—42no—
720C2×C4⋊C4—42no—
721C2×C4⋊C4—42no—
722C2×C4⋊C4—42no—
723C2×C4⋊C4—42no—
724C2×C4⋊C4—42no—
725C2×C4⋊C4—42no—
726C2×C4⋊C4—42no—
727C2×C4⋊C4—42no—
728C2×C4⋊C4C2414yes—
729C2×C4⋊C4C2414yes—
730C2×C4⋊C4C2414yes—
731C2×C4⋊C4C2414yes—
732C2×C4⋊C4C2414yes—
733C2×C4⋊C4C2414yes—
734C2×C4⋊C4C2414yes—
735C2×C4⋊C4C2414yes—
736C2×C4⋊C4C2414yes—
737C2×C4⋊C4C2414yes—
738C2×C4⋊C4C2414yes—
739C2×C4⋊C4C2414yes—
740C2×C4⋊C4C2414yes—
741C2×C4⋊C4C2414yes—
742C2×C4⋊C4C2414yes—
743C2×C4⋊C4C2414yes—
744C2×C4⋊C4C2414yes—
745C2×C4⋊C4C2414yes—
746C2×C4⋊C4C2414yes—
747C2×C4⋊C4C2414yes—
748C2×C4⋊C4C2414yes—
749C2×C4⋊C4C2414yes—
750C2×C4⋊C4C2414yes—
751C2×C4⋊C4C2414yes—
752C2×C4⋊C4C2414yes—
753C2×C4⋊C4C2414yes—
754C2×C4⋊C4C2414yes—
755C2×C4⋊C4C2414yes—
756C2×C4⋊C4C2414yes—
757C2×C4⋊C4C2414yes—
758C2×C4⋊C4C2414yes—
759C2×C4⋊C4C2414yes—
760C2×C4⋊C4C2414yes—
761C2×C4⋊C4C2414yes—
762C2×C4⋊C4C2414yes—
763C2×C4⋊C4C2414yes—
764C2×C4⋊C4C2414yes—
765C2×C4⋊C4C2414yes—
766C2×C4⋊C4C2414yes—
767C2×C4⋊C4C2414yes—
768C2×C4⋊C4C2414yes—
769C2×C4⋊C4C2414yes—
770C2×C4⋊C4C2414yes—
771C2×C4⋊C4C2414yes—
772C2×C4⋊C4C2414yes—
773C2×C4⋊C4C2414yes—
774C2×C4⋊C4C2414yes—
775C2×C4⋊C4C2414yes—
776C2×C4⋊C4C2414yes—
777C2×C4⋊C4C2414yes—
778C2×C4⋊C4C2414yes—
779C2×C22⋊C4—24no—
780C2×C22⋊C4—24no—
781C2×C22⋊C4—24no—
782C2×C22⋊C4—24no—
783C2×C22⋊C4—24no—
784C2×C22⋊C4—24no—
785C2×C22⋊C4—24no—
786C2×C22⋊C4—24no—
787C2×C22⋊C4—24no—
788C2×C22⋊C4—24no—
789C2×C22⋊C4—24no—
790C2×C22⋊C4—24no—
791C2×C22⋊C4—24no—
792C2×C22⋊C4—24no—
793C2×C22⋊C4—24no—
794C2×C22⋊C4—232no—
795C2×C22⋊C4—416no—
796C2×C22⋊C4—416no—
797C2×C22⋊C4—42no—
798C2×C22⋊C4—42no—
799C2×C22⋊C4—42no—
800C2×C22⋊C4—42no—
801C2×C22⋊C4—42no—
802C2×C22⋊C4—42no—
803C2×C22⋊C4—42no—
804C2×C22⋊C4—42no—
805C2×C22⋊C4C2×Q818yes—
806C2×C22⋊C4C2×Q818yes—
807C2×C22⋊C4C2×Q818yes—
808C2×C22⋊C4C2×Q818yes—
809C2×C22⋊C4C2×Q8164yescomplemented
810C2×C22⋊C4#4118yes—
811C2×C22⋊C4C2414yes—
812C2×C22⋊C4C2414yes—
813C2×C22⋊C4C2414yes—
814C2×C22⋊C4C2414yes—
815C2×C22⋊C4C2414yes—
816C2×C22⋊C4C2414yes—
817C2×C22⋊C4C2414yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2414yes—
821C2×C22⋊C4C2414yes—
822C2×C22⋊C4C2414yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×C22⋊C4C2414yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C42—24no—
840C2×C42—24no—
841C2×C42—42no—
842C2×C42—42no—
843C2×C42—42no—
844C2×C42—42no—
845C2×C42—42no—
846C2×C42—42no—
847C2×C42C2414yes—
848C2×C42C2414yes—
849C2×C42C2414yes—
850C2×C42C2414yes—
851C2×C42C2414yes—
852C2×C42C2414yes—
853C2×C42C2414yes—
854C2×C42C2414yes—
855#95C2414yes—
856#95C2414yes—
857#95C2414yes—
858#95C2414yes—
859#95C2414yes—
860#95C2414yes—
861#95C2414yes—
862#95C2414yes—
863#95C2414yes—
864#95C2414yes—
865#95C2414yes—
866#95C2414yes—
867#95C2414yes—
868#95C2414yes—
869#95C2414yes—
870#95C2414yes—
871#95C2414yes—
872#95C2414yes—
873#95C2414yes—
874#95C2414yes—
875#95C2414yes—
876#95C2414yes—
877#95C2414yes—
878#95C2414yes—
879#95C2414yes—
880#95C2414yes—
881#95C2414yes—
882#95C2414yes—
883#95C2414yes—
884#95C2414yes—
885#95C2414yes—
886#95C2414yes—
887#95C2414yes—
888#95C2414yes—
889#95C2414yes—
890#95C2414yes—
891#95C2414yes—
892#95C2414yes—
893#95C2414yes—
894#95C2414yes—
895#95C2414yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899#95C2414yes—
900#95C2414yes—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905C24—22no—
906C24—22no—
907C24—22no—
908C24—22no—
909C24—22no—
910C24—22no—
911C24—22no—
912C24—22no—
913C24—232no—
914C24—232no—
915C24—28no—
916C24—22no—
917C24—22no—
918C24—28no—
919C24—28no—
920C24—22no—
921C24—22no—
922C24—28no—
923C24—22no—
924C24—22no—
925C24—44no—
926C24—416no—
927C24—44no—
928C24—416no—
929C24—416no—
930C24—416no—
931C24—416no—
932C24C22×Q814yes—
933C24C22×Q8116yes—
934C24C22×Q814yes—
935C24C22×Q814yes—
936C24C2×#4114yes—
937C24H(5,𝔽2)14yes—
938C24H(5,𝔽2)14yes—
939C242−1+414yes—
940C24C2512yes—
941C24C2512yes—
942C24C2512yes—
943C24C2511yescharacteristic
944C2×Q8—28no—
945C2×Q8—28no—
946C2×Q8—44no—
947C2×Q8—44no—
948C2×Q8—44no—
949C2×Q8—44no—
950C2×Q8—44no—
951C2×Q8—44no—
952C2×Q8—44no—
953C2×Q8—88no—
954C2×Q8—88no—
955C2×Q8—88no—
956C22×C4—232no—
957C22×C4—22no—
958C22×C4—22no—
959C22×C4—28no—
960C22×C4—22no—
961C22×C4—22no—
962C22×C4—22no—
963C22×C4—22no—
964C22×C4—22no—
965C22×C4—22no—
966C22×C4—28no—
967C22×C4—22no—
968C22×C4—22no—
969C22×C4—22no—
970C22×C4—22no—
971C22×C4—22no—
972C22×C4—22no—
973C22×C4—22no—
974C22×C4—22no—
975C22×C4—22no—
976C22×C4—22no—
977C22×C4—22no—
978C22×C4—22no—
979C22×C4—22no—
980C22×C4—22no—
981C22×C4—22no—
982C22×C4—22no—
983C22×C4—22no—
984C22×C4—22no—
985C22×C4—22no—
986C22×C4—22no—
987C22×C4—22no—
988C22×C4—22no—
989C22×C4—22no—
990C22×C4—22no—
991C22×C4—22no—
992C22×C4—22no—
993C22×C4—22no—
994C22×C4—22no—
995C22×C4—22no—
996C22×C4—22no—
997C22×C4—22no—
998C22×C4—22no—
999C22×C4—22no—
1000C22×C4—22no—
1001C22×C4—22no—
1002C22×C4—22no—
1003C22×C4—22no—
1004C22×C4—22no—
1005C22×C4—22no—
1006C22×C4—22no—
1007C22×C4—22no—
1008C22×C4—22no—
1009C22×C4—22no—
1010C22×C4—22no—
1011C22×C4—28no—
1012C22×C4—28no—
1013C22×C4—28no—
1014C22×C4—22no—
1015C22×C4—22no—
1016C22×C4—22no—
1017C22×C4—22no—
1018C22×C4—22no—
1019C22×C4—22no—
1020C22×C4—22no—
1021C22×C4—22no—
1022C22×C4—22no—
1023C22×C4—28no—
1024C22×C4—28no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—22no—
1029C22×C4—28no—
1030C22×C4—22no—
1031C22×C4—22no—
1032C22×C4—22no—
1033C22×C4—22no—
1034C22×C4—22no—
1035C22×C4—22no—
1036C22×C4—22no—
1037C22×C4—22no—
1038C22×C4—22no—
1039C22×C4—22no—
1040C22×C4—22no—
1041C22×C4—22no—
1042C22×C4—28no—
1043C22×C4—28no—
1044C22×C4—28no—
1045C22×C4—28no—
1046C22×C4—28no—
1047C22×C4—28no—
1048C22×C4—28no—
1049C22×C4—28no—
1050C22×C4—28no—
1051C22×C4—44no—
1052C22×C4—44no—
1053C22×C4—44no—
1054C22×C4—44no—
1055C22×C4—44no—
1056C22×C4—44no—
1057C22×C4—44no—
1058C22×C4—44no—
1059C22×C4—44no—
1060C22×C4—44no—
1061C22×C4—44no—
1062C22×C4—44no—
1063C22×C4—44no—
1064C22×C4—416no—
1065C22×C4—44no—
1066C22×C4—44no—
1067C22×C4—44no—
1068C22×C4—44no—
1069C22×C4—44no—
1070C22×C4—44no—
1071C22×C4—44no—
1072C22×C4—44no—
1073C22×C4—44no—
1074C22×C4—44no—
1075C22×C4—416no—
1076C22×C4—416no—
1077C22×C4—416no—
1078C22×C4—416no—
1079C22×C4—416no—
1080C22×C4—416no—
1081C22×C4—416no—
1082C22×C4—4128no—
1083C22×C4—416no—
1084C22×C4—88no—
1085C22×C4—88no—
1086C22×C4—88no—
1087C22×C4—88no—
1088C22×C4C22×Q814yes—
1089C22×C4C22×Q814yes—
1090C22×C4C22×Q814yes—
1091C22×C4C22×Q814yes—
1092C22×C4C22×Q8116yes—
1093C22×C4C22×Q8116yes—
1094C22×C4C2×#4114yes—
1095C22×C4C2×#4114yes—
1096C22×C4H(5,𝔽2)14yes—
1097C22×C4C2512yes—
1098C22×C4C2512yes—
1099C22×C4C2512yes—
1100C22×C4C2512yes—
1101C22×C4C2512yes—
1102C22×C4C2512yes—
1103C22×C4C2512yes—
1104C22×C4C2512yes—
1105C22×C4C2512yes—
1106C22×C4C2512yes—
1107C22×C4C2512yes—
1108C22×C4C2512yes—
1109C22×C4C2512yes—
1110C22×C4C2512yes—
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2512yes—
1114C22×C4C2512yes—
1115C22×C4C2512yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2512yes—
1120C22×C4C2512yes—
1121C22×C4C2512yes—
1122C22×C4C2512yes—
1123C22×C4C2512yes—
1124C22×C4C2512yes—
1125C4⋊C4—28no—
1126C4⋊C4—28no—
1127C4⋊C4—28no—
1128C4⋊C4—28no—
1129C4⋊C4—28no—
1130C4⋊C4—28no—
1131C4⋊C4—28no—
1132C4⋊C4—28no—
1133C4⋊C4—28no—
1134C4⋊C4—28no—
1135C4⋊C4—44no—
1136C4⋊C4—44no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—44no—
1140C4⋊C4—44no—
1141C4⋊C4—44no—
1142C4⋊C4—44no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
1150C4⋊C4—44no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C22⋊C4—28no—
1177C22⋊C4—28no—
1178C22⋊C4—28no—
1179C22⋊C4—28no—
1180C22⋊C4—28no—
1181C22⋊C4—28no—
1182C22⋊C4—28no—
1183C22⋊C4—28no—
1184C22⋊C4—28no—
1185C22⋊C4—28no—
1186C22⋊C4—28no—
1187C22⋊C4—28no—
1188C22⋊C4—28no—
1189C22⋊C4—28no—
1190C22⋊C4—28no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4C22×Q8116yes—
1200C22⋊C4C22×Q8116yes—
1201C22⋊C4C22×Q8116yes—
1202C22⋊C4C22×Q8116yes—
1203C22⋊C4C2×#41116yes—
1204C42—28no—
1205C42—28no—
1206C42—44no—
1207C42—44no—
1208C42—44no—
1209C42—44no—
1210C42—44no—
1211C42—44no—
1212C23—22no—
1213C23—22no—
1214C23—22no—
1215C23—22no—
1216C23—22no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—28no—
1221C23—28no—
1222C23—28no—
1223C23—28no—
1224C23—28no—
1225C23—28no—
1226C23—28no—
1227C23—28no—
1228C23—28no—
1229C23—28no—
1230C23—28no—
1231C23—28no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—232no—
1239C23—28no—
1240C23—232no—
1241C23—28no—
1242C23—28no—
1243C23—416no—
1244C23—416no—
1245C23—416no—
1246C23—416no—
1247C23—416no—
1248C23—4128no—
1249C23—44no—
1250C23—44no—
1251C23—44no—
1252C23—44no—
1253C23#544116yes—
1254C23#554116yes—
1255C23C23×Q814yes—
1256C23C23×Q814yes—
1257C23C23×Q814yes—
1258C23C23×Q812yes—
1259C23C22×#4114yes—
1260C23C22×#4112yes—
1261C23C2×H(5,𝔽2)14yes—
1262C23C2×H(5,𝔽2)14yes—
1263C23C2×H(5,𝔽2)12yes—
1264C23C2×H(5,𝔽2)12yes—
1265C23C2×H(5,𝔽2)12yes—
1266C23C2×2−1+414yes—
1267C23C2×2−1+412yes—
1268C23#58512yes—
1269C23C2611yescharacteristic
1270Q8—88no—
1271Q8—88no—
1272Q8—88no—
1273C2×C4—22no—
1274C2×C4—22no—
1275C2×C4—22no—
1276C2×C4—22no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—22no—
1280C2×C4—22no—
1281C2×C4—22no—
1282C2×C4—22no—
1283C2×C4—22no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—232no—
1288C2×C4—28no—
1289C2×C4—28no—
1290C2×C4—28no—
1291C2×C4—28no—
1292C2×C4—28no—
1293C2×C4—28no—
1294C2×C4—28no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—416no—
1359C2×C4—416no—
1360C2×C4—416no—
1361C2×C4—416no—
1362C2×C4—416no—
1363C2×C4—416no—
1364C2×C4—416no—
1365C2×C4—416no—
1366C2×C4—416no—
1367C2×C4—44no—
1368C2×C4—44no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—44no—
1372C2×C4—44no—
1373C2×C4—44no—
1374C2×C4—44no—
1375C2×C4—44no—
1376C2×C4—44no—
1377C2×C4—44no—
1378C2×C4—44no—
1379C2×C4—44no—
1380C2×C4—44no—
1381C2×C4—44no—
1382C2×C4—44no—
1383C2×C4—44no—
1384C2×C4—44no—
1385C2×C4—44no—
1386C2×C4—44no—
1387C2×C4—44no—
1388C2×C4—88no—
1389C2×C4—88no—
1390C2×C4—88no—
1391C2×C4—88no—
1392C2×C4C23×Q814yes—
1393C2×C4C23×Q814yes—
1394C2×C4C23×Q814yes—
1395C2×C4C23×Q814yes—
1396C2×C4C22×#4114yes—
1397C2×C4C22×#4114yes—
1398C2×C4C2×H(5,𝔽2)14yes—
1399C22—24no—
1400C22—24no—
1401C22—24no—
1402C22—24no—
1403C22—24no—
1404C22—24no—
1405C22—24no—
1406C22—24no—
1407C22—232no—
1408C22—232no—
1409C22—24no—
1410C22—24no—
1411C22—24no—
1412C22—24no—
1413C22—24no—
1414C22—24no—
1415C22—24no—
1416C22—464no—
1417C22—42no—
1418C22—42no—
1419C22—42no—
1420C22—416no—
1421C22—42no—
1422C22C2×#54418yes—
1423C22C2×#54414yes—
1424C22C2×#55418yes—
1425C22C2×#55414yes—
1426C22#350114yes—
1427C22#351314yes—
1428C22#352014yes—
1429C22#353214yes—
1430C22#353514yes—
1431C22C24×Q811yescharacteristic
1432C22C23×#4111yescharacteristic
1433C22C22×H(5,𝔽2)11yescharacteristic
1434C22C22×H(5,𝔽2)11yescharacteristic
1435C22C22×H(5,𝔽2)11yescharacteristic
1436C22C22×2−1+411yescharacteristic
1437C22C2×#58511yescharacteristic
1438C4—24no—
1439C4—24no—
1440C4—24no—
1441C4—24no—
1442C4—24no—
1443C4—24no—
1444C4—24no—
1445C4—42no—
1446C4—42no—
1447C4—42no—
1448C4—42no—
1449C4—42no—
1450C4—42no—
1451C4—42no—
1452C4—42no—
1453C4—42no—
1454C4—42no—
1455C4—42no—
1456C4—42no—
1457C4—42no—
1458C4—42no—
1459C4—42no—
1460C4—42no—
1461C4—42no—
1462C4—42no—
1463C4—42no—
1464C4—42no—
1465C4—42no—
1466C2—28no—
1467C2—28no—
1468C2—44no—
1469C2#3809718yesdirect product factor
1470C2C22×#54411yescharacteristic
1471C2C22×#55411yescharacteristic
1472C2C2×#353211yescharacteristic
1473C2C2×#353511yescharacteristic
1474C2C2×#350111yescharacteristic
1475C2C2×#351311yescharacteristic
1476C2C2×#352011yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC26C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2807C2semidirect
2. C2×#2790C2semidirect
3. C2×#2790C2semidirect
4. C2×#2788C2semidirect
5. C2×#2768C2semidirect
6. C2×#2763C2semidirect
7. C2×#2729C2semidirect
8. C2×#2720C2semidirect
9. #38097C2direct (N × H)
11. C2×#2583C2semidirect
12. C2×#2549C2semidirect
13. C2×#2502C2semidirect
14. C2×#2505C2semidirect
15. C2×#2505C2semidirect
16. C2×#2505C2semidirect
17. C2×#2438C2semidirect
18. C2×#2438C2semidirect
19. C2×#2442C2semidirect
20. C2×#2440C2semidirect
21. C2×#2440C2semidirect
22. C2×#2473C2semidirect
25. C2×#2646C2semidirect
26. C2×#2627C2semidirect
29. C2×#2329C2semidirect
30. C2×#2317C2semidirect
34. C22×C4⋊Q8C22semidirect
35. C22×#125C22semidirect
54. #2807C22semidirect
55. #2790C22semidirect
56. #2790C22semidirect
57. #2788C22semidirect
58. #2768C22semidirect
59. #2763C22semidirect
60. #2729C22semidirect
61. #2720C22semidirect
62. #2646C22semidirect
63. #2627C22semidirect
64. #2583C22semidirect
65. #2549C22semidirect
66. #2505C22semidirect
67. #2505C22semidirect
68. #2505C22semidirect
69. #2502C22semidirect
70. #2473C22semidirect
71. #2442C22semidirect
72. #2440C22semidirect
73. #2440C22semidirect
74. #2438C22semidirect
75. #2438C22semidirect
78. C2×#400C22semidirect
79. C2×#400C22semidirect
80. C2×#400C22semidirect
81. C2×#400C22semidirect
82. C2×#400C22semidirect
83. C2×#400C22semidirect
84. C2×#400C22semidirect
85. C2×#400C22semidirect
86. C2×#400C22semidirect
87. C2×#400C22semidirect
90. C2×#398C22semidirect
91. C2×#398C22semidirect
92. C2×#398C22semidirect
93. C2×#398C22semidirect
94. C2×#398C22semidirect
95. C2×#398C22semidirect
96. C2×#398C22semidirect
97. C2×#398C22semidirect
98. C2×#398C22semidirect
99. C2×#398C22semidirect
100. C2×#398C22semidirect
101. C2×#398C22semidirect
102. C2×#398C22semidirect
103. C2×#398C22semidirect
104. C2×#398C22semidirect
105. C2×#398C22semidirect
110. C2×#395C22semidirect
111. C2×#395C22semidirect
112. C2×#395C22semidirect
113. C2×#395C22semidirect
114. C2×#395C22semidirect
115. C2×#395C22semidirect
120. #2329C22semidirect
121. #2317C22semidirect
122. C2×#391C22semidirect
123. C2×#391C22semidirect
124. C2×#391C22semidirect
125. C2×#391C22semidirect
126. C2×#389C22semidirect
127. C2×#389C22semidirect
128. C2×#389C22semidirect
129. C2×#389C22semidirect
130. C2×#389C22semidirect
131. C2×#389C22semidirect
132. C2×#389C22semidirect
133. C2×#389C22semidirect
134. C2×#389C22semidirect
135. C2×#389C22semidirect
136. C2×#389C22semidirect
137. C2×#389C22semidirect
146. C2×#387C22semidirect
147. C2×#387C22semidirect
148. C2×#387C22semidirect
149. C2×#387C22semidirect
150. C2×#387C22semidirect
151. C2×#387C22semidirect
152. C2×#387C22semidirect
153. C2×#387C22semidirect
190. C2×#384C22semidirect
191. C2×#384C22semidirect
192. C2×#384C22semidirect
193. C2×#382C22semidirect
194. C2×#382C22semidirect
195. C2×#382C22semidirect
242. C2×C4⋊Q8C23semidirect
244. C2×#125C23semidirect
325. C22×C22⋊C4Q8semidirect
366. #400C23semidirect
367. #400C23semidirect
368. #400C23semidirect
369. #400C23semidirect
370. #400C23semidirect
371. #400C23semidirect
372. #400C23semidirect
373. #400C23semidirect
374. #400C23semidirect
375. #400C23semidirect
378. #398C23semidirect
379. #398C23semidirect
380. #398C23semidirect
381. #398C23semidirect
382. #398C23semidirect
383. #398C23semidirect
384. #398C23semidirect
385. #398C23semidirect
386. #398C23semidirect
387. #398C23semidirect
388. #398C23semidirect
389. #398C23semidirect
390. #398C23semidirect
391. #398C23semidirect
392. #398C23semidirect
393. #398C23semidirect
398. #395C23semidirect
399. #395C23semidirect
400. #395C23semidirect
401. #395C23semidirect
402. #395C23semidirect
403. #395C23semidirect
406. #391C23semidirect
407. #391C23semidirect
408. #391C23semidirect
409. #391C23semidirect
410. #389C23semidirect
411. #389C23semidirect
412. #389C23semidirect
413. #389C23semidirect
414. #389C23semidirect
415. #389C23semidirect
416. #389C23semidirect
417. #389C23semidirect
418. #389C23semidirect
419. #389C23semidirect
420. #389C23semidirect
421. #389C23semidirect
430. #387C23semidirect
431. #387C23semidirect
432. #387C23semidirect
433. #387C23semidirect
434. #387C23semidirect
435. #387C23semidirect
436. #387C23semidirect
437. #387C23semidirect
472. #384C23semidirect
473. #384C23semidirect
474. #384C23semidirect
475. #382C23semidirect
476. #382C23semidirect
477. #382C23semidirect
809. C2×C22⋊C4C2×Q8semidirect
1469. C2#38097direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#28072
C2×#27902
C2×#27882
C2×#27682
C2×#27632
C2×#27292
C2×#27202
#380972
C2×#28482
C2×#25832
C2×#25492
C2×#25022
C2×#25052
C2×#24382
C2×#24422
C2×#24402
C2×#24732
C2×#24372
C2×#26462
C2×#26272
C2×#23422
C2×#23292
C2×#23172
C22×#3852