Finite Group Databasebeta

← #7878856

Subgroups — #7878856

Order 512.

9440 conjugacy classes of subgroups.

The subgroup lattice has 2211 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3498C211yesmaximal, characteristic, complemented
2C2×#3546C211yesmaximal, characteristic, complemented
3#59816C211yesmaximal, characteristic, complemented
4#59408C212yesmaximal, complemented
5#59126C211yesmaximal, characteristic, complemented
6#59124C212yesmaximal, complemented
7#59035C211yesmaximal, characteristic, complemented
8#51899C214yesmaximal, complemented
9#47942C214yesmaximal, complemented
10#46424C214yesmaximal, complemented
11#44932C212yesmaximal, complemented
12#44899C212yesmaximal, complemented
13#44877C212yesmaximal, complemented
14#44870C212yesmaximal, complemented
15#43893C214yesmaximal, complemented
16#42909C212yesmaximal, complemented
17#42426C212yesmaximal, complemented
18#39957C212yesmaximal, complemented
19#39876C212yesmaximal, complemented
20#39747C211yesmaximal, characteristic, complemented
21#39471C211yesmaximal, characteristic, complemented
22#39342C212yesmaximal, complemented
23#39342C211yesmaximal, characteristic, complemented
24#39138C211yesmaximal, characteristic, complemented
25#37674C212yesmaximal, complemented
26#36504C211yesmaximal, characteristic, complemented
27#36260C211yesmaximal, characteristic, complemented
28#36121C211yesmaximal, characteristic, complemented
29#35921C212yesmaximal, complemented
30#35680C212yesmaximal, complemented
31#35607C212yesmaximal, complemented
32#35513C212yesmaximal, complemented
33#34925C211yesmaximal, characteristic, complemented
34#34727C211yesmaximal, characteristic, complemented
35#34330C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2212yescomplemented
37#3546—216no—
38C2×#560C2214yescomplemented
39#3498—216no—
40C2×#556C2211yescharacteristic, complemented
41C2×#553C2212yescomplemented
42C2×#550C2211yescharacteristic
43C2×#550C2212yescomplemented
44C2×#550C2212yescomplemented
45C2×#550C2211yescharacteristic, complemented
46C2×#547C2211yescharacteristic, complemented
47C2×#546C2212yescomplemented
48C2×#546C2212yescomplemented
49C2×#546C2212yescomplemented
50C2×#546C2212yescomplemented
51C2×#546C2212yescomplemented
52C2×#546C2212yescomplemented
53C2×D42C2211yescharacteristic
54C2×D42C2212yescomplemented
55C2×D42C2211yescharacteristic, complemented
56C2×D42C2214yescomplemented
57C2×D42C2212yescomplemented
58C2×D42C2212yescomplemented
59C2×D42C2211yescharacteristic, complemented
60C2×D42C2212yescomplemented
61C2×D42C2212yescomplemented
62C2×D42C2212yescomplemented
63C2×D42C2212yescomplemented
64C2×#542C2212yescomplemented
65C2×#538C2214yescomplemented
66C2×#537C2212yescomplemented
67C2×#535C2212yescomplemented
68C2×#535C2212yescomplemented
69C2×#535C2214yescomplemented
70C2×#535C2212yescomplemented
71C2×#535C2212yescomplemented
72C2×#532C2212yescomplemented
73C2×#532C2211yescharacteristic, complemented
74C2×#532C2211yescharacteristic, complemented
75C2×#532C2211yescharacteristic, complemented
76C2×#532C2212yescomplemented
77C22×#127C2211yescharacteristic
78C22×#127C2212yescomplemented
79C2×#529C2211yescharacteristic, complemented
80C2×C4×#41C2211yescharacteristic, complemented
81#2858C2211yescharacteristic, complemented
82#2857C2211yescharacteristic, complemented
83#2856C2212yescomplemented
84#2856C2211yescharacteristic, complemented
85#2850C2212yescomplemented
86#2816C2214yescomplemented
87#2714C2214yescomplemented
88#2714C2214yescomplemented
89#2714C2214yescomplemented
90#2710C2214yescomplemented
91#2710C2214yescomplemented
92#2703C2214yescomplemented
93#2703C2214yescomplemented
94#2685C2214yescomplemented
95#2685C2214yescomplemented
96#2679C2214yescomplemented
97#2679C2214yescomplemented
98#2678C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2671C2214yescomplemented
105#2671C2214yescomplemented
106#2671C2214yescomplemented
107#2670C2214yescomplemented
108#2670C2214yescomplemented
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2669C2214yescomplemented
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2669C2214yescomplemented
118#2668C2214yescomplemented
119#2668C2214yescomplemented
120#2661C2214yescomplemented
121#2657C2212yescomplemented
122#2656C2214yescomplemented
123#2635C2214yescomplemented
124#2619C2212yescomplemented
125#2615C2212yescomplemented
126#2615C2212yescomplemented
127#2613C2214yescomplemented
128#2602C2214yescomplemented
129#2564C2214yescomplemented
130#2559C2214yescomplemented
131#2555C2214yescomplemented
132#2555C2212yescomplemented
133#2555C2212yescomplemented
134#2551C2211yescharacteristic, complemented
135#2548C2212yescomplemented
136#2547C2211yescharacteristic, complemented
137#2544C2212yescomplemented
138#2544C2212yescomplemented
139#2542C2211yescharacteristic, complemented
140#2541C2211yescharacteristic, complemented
141#2541C2211yescharacteristic, complemented
142#2541C2212yescomplemented
143#2541C2211yescharacteristic, complemented
144#2541C2212yescomplemented
145#2541C2212yescomplemented
146#2541C2211yescharacteristic, complemented
147#2541C2214yescomplemented
148#2540C2212yescomplemented
149#2540C2212yescomplemented
150#2540C2212yescomplemented
151#2540C2212yescomplemented
152#2539C2214yescomplemented
153#2539C2214yescomplemented
154#2539C2214yescomplemented
155#2539C2214yescomplemented
156#2539C2214yescomplemented
157#2537C2212yescomplemented
158#2537C2211yescharacteristic, complemented
159#2537C2212yescomplemented
160#2537C2211yescharacteristic, complemented
161#2537C2211yescharacteristic, complemented
162#2537C2212yescomplemented
163#2536C2212yescomplemented
164#2535C2212yescomplemented
165#2521C2214yescomplemented
166#2501C2212yescomplemented
167#2492C2212yescomplemented
168#2491C2214yescomplemented
169#2491C2212yescomplemented
170#2491C2212yescomplemented
171#2491C2211yescharacteristic, complemented
172#2491C2211yescharacteristic, complemented
173#2490C2212yescomplemented
174#2487C2212yescomplemented
175#2479C2212yescomplemented
176#2479C2214yescomplemented
177#2471C2212yescomplemented
178#2467C2214yescomplemented
179#2467C2212yescomplemented
180#2456C2212yescomplemented
181#2454C2211yescharacteristic, complemented
182#2448C2211yescharacteristic, complemented
183#2445C2212yescomplemented
184#2445C2212yescomplemented
185#2445C2214yescomplemented
186#2441C2211yescharacteristic, complemented
187#2435C2212yescomplemented
188#2435C2212yescomplemented
189#2435C2214yescomplemented
190#2433C2212yescomplemented
191#2433C2212yescomplemented
192#2433C2212yescomplemented
193#2433C2214yescomplemented
194#2433C2214yescomplemented
195#2433C2212yescomplemented
196#2433C2214yescomplemented
197#2433C2214yescomplemented
198#2432C2214yescomplemented
199#2431C2211yescharacteristic
200#2431C2212yescomplemented
201#2431C2212yescomplemented
202#2431C2212yescomplemented
203#2431C2214yescomplemented
204#2430C2214yescomplemented
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2428C2212yescomplemented
208#2428C2212yescomplemented
209#2428C2211yescharacteristic, complemented
210#2428C2212yescomplemented
211#2428C2211yescharacteristic, complemented
212#2428C2211yescharacteristic, complemented
213#2427C2212yescomplemented
214#2424C2214yescomplemented
215#2423C2212yescomplemented
216#2423C2211yescharacteristic, complemented
217#2422C2212yescomplemented
218#2418C2214yescomplemented
219#2418C2214yescomplemented
220#2418C2214yescomplemented
221#2414C2212yescomplemented
222#2414C2212yescomplemented
223#2414C2212yescomplemented
224#2414C2212yescomplemented
225#2414C2211yescharacteristic, complemented
226#2410C2214yescomplemented
227#2410C2214yescomplemented
228#2410C2214yescomplemented
229#2410C2214yescomplemented
230#2410C2214yescomplemented
231#2410C2214yescomplemented
232#2410C2214yescomplemented
233#2408C2212yescomplemented
234#2408C2212yescomplemented
235#2408C2212yescomplemented
236#2408C2212yescomplemented
237#2408C2212yescomplemented
238#2408C2212yescomplemented
239#2408C2214yescomplemented
240#2408C2212yescomplemented
241#2408C2212yescomplemented
242#2408C2214yescomplemented
243#2408C2212yescomplemented
244#2408C2212yescomplemented
245#2408C2212yescomplemented
246#2407C2212yescomplemented
247#2407C2212yescomplemented
248#2407C2212yescomplemented
249#2407C2212yescomplemented
250#2407C2212yescomplemented
251#2407C2212yescomplemented
252#2407C2211yescharacteristic, complemented
253#2404C2214yescomplemented
254#2403C2214yescomplemented
255#2403C2214yescomplemented
256#2403C2214yescomplemented
257#2403C2214yescomplemented
258#2397C2212yescomplemented
259#2392C2212yescomplemented
260#2388C2212yescomplemented
261#2388C2212yescomplemented
262C2×#392C2214yescomplemented
263#2366C2212yescomplemented
264#2366C2211yescharacteristic, complemented
265#2364C2214yescomplemented
266#2363C2212yescomplemented
267#2363C2212yescomplemented
268#2357C2212yescomplemented
269#2355C2211yescharacteristic, complemented
270#2354C2211yescharacteristic, complemented
271#2354C2212yescomplemented
272#2339C2212yescomplemented
273D4×C22⋊C4C2212yescomplemented
274D4×C22⋊C4C2214yescomplemented
275D4×C22⋊C4C2212yescomplemented
276D4×C22⋊C4C2212yescomplemented
277#2333C2214yescomplemented
278#2328C2212yescomplemented
279#2326C2212yescomplemented
280#2324C2212yescomplemented
281#2321C2214yescomplemented
282#2311C2212yescomplemented
283C4×#127C2211yescharacteristic, complemented
284C4×#127C2211yescharacteristic, complemented
285C4×#127C2211yescharacteristic, complemented
286C4×C22⋊Q8C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic, complemented
291C4×#121C2211yescharacteristic, complemented
292C4×#121C2211yescharacteristic, complemented
293C4×#121C2212yescomplemented
294#2297C2212yescomplemented
295#2295C2211yescharacteristic, complemented
296C2×#390C2212yescomplemented
297#2290C2212yescomplemented
298#2275C2212yescomplemented
299C42×D4C2211yescharacteristic, complemented
300C42×D4C2211yescharacteristic, complemented
301C2×H(5,𝔽2)—216no—
302C2×H(5,𝔽2)—48no—
303C2×H(5,𝔽2)—48no—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2314yes—
307C22×#41C2312yes—
308C22×#41C2312yes—
309C22×#41C2312yes—
310C22×#41C2312yes—
311C22×#41C2312yes—
312C23×D4C2312yes—
313C23×D4C2312yes—
314C23×D4C2312yes—
315C23×D4C2314yes—
316C23×D4C2314yes—
317C23×D4C2314yes—
318C23×D4C2312yes—
319C23×D4C2312yes—
320C23×D4C2312yes—
321C23×D4C2312yes—
322C23×D4C2312yes—
323C23×D4C2312yes—
324C23×D4C2314yes—
325C23×D4C2314yes—
326C23×D4C2314yes—
327#560—232no—
328#556—28no—
329#553—216no—
330#550—216no—
331#550—216no—
332#550—28no—
333#550D4116yescomplemented
334#547—28no—
335#546—216no—
336#546—216no—
337#546—48no—
338#546—48no—
339#546—48no—
340#546—48no—
341D42—28no—
342D42—28no—
343D42—216no—
344D42—216no—
345D42—232no—
346D42—28no—
347D42—216no—
348D42—48no—
349D42—48no—
350D42—48no—
351D42—48no—
352#542—216no—
353#538—232no—
354#537—216no—
355#535—216no—
356#535—216no—
357#535—232no—
358#535—216no—
359#535—48no—
360#532—28no—
361#532—28no—
362#532—216no—
363#532—28no—
364#532—48no—
365C2×C4⋊Q8C2311yescharacteristic
366C2×C4⋊Q8C2311yescharacteristic
367C2×C4⋊Q8C2311yescharacteristic
368C2×C4⋊Q8C2312yes—
369C2×#127—28no—
370C2×#127—216no—
371C2×#127C2311yescharacteristic
372C2×#127C2311yescharacteristic
373C2×#127C2311yescharacteristic
374C2×#127C2312yes—
375C2×#127C2312yes—
376C2×#127C2314yes—
377C2×#127C2314yes—
378C2×#127C2314yes—
379C2×#127C2312yes—
380C2×#127C2312yes—
381C2×#127C2311yescharacteristic
382C2×#127C2311yescharacteristic
383C2×#127C2312yes—
384C2×#127C2312yes—
385C2×#127C2314yes—
386C2×#127C2312yes—
387C2×#127C2314yes—
388C2×#127C2311yescharacteristic
389C2×#127C2312yes—
390#529—28no—
391C2×#126C2312yes—
392C2×#126C2314yes—
393C2×#126C2314yes—
394C2×#125C2311yescharacteristic
395C2×#124C2312yes—
396C2×#124C2312yes—
397C2×#124C2312yes—
398C2×#124C2314yes—
399C2×#124C2314yes—
400C2×#124C2311yescharacteristic
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2314yes—
408C2×#123C2314yes—
409C2×#123C2312yes—
410C2×#123C2314yes—
411C2×#123C2314yes—
412C2×#123C2314yes—
413C2×#123C2314yes—
414C2×#123C2314yes—
415C2×#123C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2314yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2312yes—
447C2×#121C2311yescharacteristic
448C2×#121C2314yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2311yescharacteristic
452C2×#121C2311yescharacteristic
453C2×#121C2311yescharacteristic
454C2×#121C2311yescharacteristic
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2314yes—
458C2×#121C2312yes—
459C2×#121C2314yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2314yes—
465C2×#121C2314yes—
466C2×#121C2314yes—
467C2×#121C2314yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×#121C2314yes—
471C2×#121C2312yes—
472C2×#121C2312yes—
473C2×#121C2312yes—
474C2×#121C2312yes—
475C2×#121C2314yes—
476C2×#121C2312yes—
477C2×#121C2312yes—
478C2×#121C2314yes—
479C2×#121C2312yes—
480C2×#120C2314yes—
481C2×#120C2314yes—
482C2×#120C2314yes—
483C2×#120C2314yes—
484C2×#120C2314yes—
485C2×#120C2314yes—
486C2×#120C2314yes—
487C2×#120C2314yes—
488C2×#120C2314yes—
489C2×#120C2314yes—
490C2×#120C2314yes—
491C2×#120C2314yes—
492C2×#120C2314yes—
493C2×#120C2314yes—
494C2×#120C2314yes—
495C2×#120C2314yes—
496C2×#120C2314yes—
497C2×#120C2314yes—
498C2×#120C2314yes—
499C2×#120C2314yes—
500C2×#120C2314yes—
501C2×#120C2314yes—
502C2×#120C2314yes—
503C2×#120C2314yes—
504C2×#120C2314yes—
505C2×#120C2314yes—
506C4×#41—28no—
507C2×C4×Q8C2312yes—
508C2×C4×Q8C2311yescharacteristic
509C2×C4×Q8C2311yescharacteristic
510C2×C4×D4C2312yes—
511C2×C4×D4C2312yes—
512C2×C4×D4C2311yescharacteristic
513C2×C4×D4C2311yescharacteristic
514C2×C4×D4C2311yescharacteristic
515C2×C4×D4C2311yescharacteristic
516C2×C4×D4C2314yes—
517C2×C4×D4C2312yes—
518C2×C4×D4C2311yescharacteristic
519C2×C4×D4C2312yes—
520C2×C4×D4C2312yes—
521C2×C4×D4C2314yes—
522C2×C4×D4C2312yes—
523C2×C4×D4C2311yescharacteristic
524C2×C4×D4C2312yes—
525C2×C4×D4C2311yescharacteristic
526C2×C4×D4C2312yes—
527C2×C4×D4C2312yes—
528C2×C4×D4C2312yes—
529C2×C4×D4C2311yescharacteristic
530C2×C4×D4C2312yes—
531C2×C4×D4C2312yes—
532C2×C4×D4C2311yescharacteristic
533C2×C4×D4C2312yes—
534C2×C4×D4C2312yes—
535C2×C4×D4C2312yes—
536C2×C4×D4C2312yes—
537C2×C4×D4C2312yes—
538C2×C4×D4C2312yes—
539C2×C4×D4C2312yes—
540C2×C4×D4C2312yes—
541C2×C4×D4C2311yescharacteristic
542C2×C4×D4C2312yes—
543C2×C4×D4C2314yes—
544C2×C4×D4C2311yescharacteristic
545C2×C4×D4C2312yes—
546C2×#117C2312yes—
547C2×#117C2311yescharacteristic
548C2×#117C2312yes—
549C2×#117C2312yes—
550C2×#117C2312yes—
551C22×C4⋊C4C2312yes—
552C22×C22⋊C4C2314yes—
553C22×C22⋊C4C2314yes—
554C22×C22⋊C4C2314yes—
555C22×C22⋊C4C2314yes—
556C22×C22⋊C4C2314yes—
557C22×C42C2312yes—
558C22×C42C2311yescharacteristic
559C22×C42C2311yescharacteristic
560C22×C42C2312yes—
561#400C2314yes—
562#399C2314yes—
563#399C2314yes—
564#399C2314yes—
565#399C2312yes—
566#399C2312yes—
567#399C2312yes—
568#399C2312yes—
569#399C2314yes—
570#399C2314yes—
571#398C2312yes—
572#398C2314yes—
573#397C2314yes—
574#397C2312yes—
575#397C2314yes—
576#397C2314yes—
577#396C2312yes—
578#396C2312yes—
579#395C2312yes—
580#395C2312yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2312yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2312yes—
594#394C2314yes—
595#394C2314yes—
596#394C2312yes—
597#394C2312yes—
598#394C2312yes—
599#394C2312yes—
600#394C2312yes—
601#394C2312yes—
602#394C2312yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#393C2312yes—
617#393C2314yes—
618#393C2314yes—
619#393C2312yes—
620#392C2314yes—
621#392C2312yes—
622#392C2314yes—
623#392C2314yes—
624#392C2314yes—
625#392C2314yes—
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2312yes—
634#392C2312yes—
635#392C2314yes—
636#392C2314yes—
637#392C2314yes—
638#392C2314yes—
639#392C2314yes—
640#392C2312yes—
641#392C2312yes—
642#392C2312yes—
643#392C2312yes—
644#392C2312yes—
645#392C2312yes—
646#392C2312yes—
647#392C2312yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#392C2314yes—
652#392C2314yes—
653#392C2314yes—
654#392C2314yes—
655#392C2314yes—
656#392C2314yes—
657#392C2314yes—
658#392C2314yes—
659#392C2314yes—
660#392C2314yes—
661#392C2314yes—
662#392C2314yes—
663#391C2314yes—
664#391C2312yes—
665#391C2312yes—
666#391C2311yescharacteristic
667#391C2312yes—
668#391C2311yescharacteristic
669#390C2312yes—
670#390C2311yescharacteristic
671#390C2312yes—
672#390C2311yescharacteristic
673#390C2312yes—
674#390C2311yescharacteristic
675#390C2311yescharacteristic
676#390C2312yes—
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#390C2314yes—
681#390C2314yes—
682#390C2314yes—
683#390C2312yes—
684#390C2314yes—
685#390C2312yes—
686#390C2312yes—
687#390C2312yes—
688#390C2314yes—
689#390C2311yescharacteristic
690#390C2312yes—
691#390C2312yes—
692#390C2312yes—
693#390C2312yes—
694#390C2312yes—
695#390C2314yes—
696#390C2314yes—
697#390C2311yescharacteristic
698#390C2314yes—
699#390C2312yes—
700#390C2312yes—
701#390C2314yes—
702#390C2312yes—
703#390C2314yes—
704#390C2311yescharacteristic
705#390C2314yes—
706#390C2312yes—
707#390C2311yescharacteristic
708#390C2312yes—
709#390C2314yes—
710#390C2314yes—
711#390C2314yes—
712#390C2312yes—
713#389C2311yescharacteristic
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2311yescharacteristic
718#389C2311yescharacteristic
719#389C2311yescharacteristic
720#389C2311yescharacteristic
721#389C2311yescharacteristic
722#389C2312yes—
723#388C2312yes—
724#388C2312yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2312yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2312yes—
739#388C2312yes—
740#388C2312yes—
741#388C2312yes—
742#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#387C2312yes—
746#387C2314yes—
747#387C2312yes—
748#387C2314yes—
749#387C2312yes—
750#387C2312yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2312yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2312yes—
777#386C2312yes—
778#386C2312yes—
779#386C2312yes—
780#386C2312yes—
781#386C2312yes—
782#386C2312yes—
783#386C2312yes—
784#386C2312yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2312yes—
791#385C2314yes—
792#385C2312yes—
793#384C2311yescharacteristic
794#384C2311yescharacteristic
795#384C2311yescharacteristic
796#384C2312yes—
797#382C2312yes—
798#381C2314yes—
799#380C2314yes—
800#380C2314yes—
801#380C2311yescharacteristic
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2311yescharacteristic
812#380C2311yescharacteristic
813#380C2311yescharacteristic
814#380C2312yes—
815#380C2312yes—
816#379C2314yes—
817#379C2314yes—
818#379C2314yes—
819#379C2314yes—
820#379C2314yes—
821#379C2314yes—
822#379C2314yes—
823#379C2314yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2311yescharacteristic
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2312yes—
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2312yes—
854#376C2312yes—
855C2×#95C2314yes—
856C43C2311yescharacteristic
857C25C2414yes—
858C25C2414yes—
859C25C2414yes—
860C25C2414yes—
861H(5,𝔽2)—4128no—
862C2×#41—24no—
863C2×#41—28no—
864C2×#41—28no—
865C2×#41—28no—
866C2×#41—24no—
867C2×#41—28no—
868C2×#41—216no—
869C2×#41—28no—
870C2×#41—24no—
871C2×#41—28no—
872C2×#41—44no—
873C2×#41—44no—
874C2×#41—44no—
875C2×#41—48no—
876C2×#41—44no—
877C2×#41—44no—
878C2×#41—48no—
879C2×#41—44no—
880C2×#41—44no—
881C2×#41—44no—
882C2×#41—44no—
883C2×#41—44no—
884C2×#41—44no—
885C2×#41C2×D4116yescomplemented
886C22×Q8C2412yes—
887C22×Q8C2412yes—
888C22×Q8C2411yescharacteristic
889C22×Q8C2412yes—
890C22×D4—28no—
891C22×D4—216no—
892C22×D4—28no—
893C22×D4—216no—
894C22×D4—28no—
895C22×D4—28no—
896C22×D4—28no—
897C22×D4—216no—
898C22×D4—28no—
899C22×D4—28no—
900C22×D4—28no—
901C22×D4—28no—
902C22×D4—28no—
903C22×D4—28no—
904C22×D4—216no—
905C22×D4—28no—
906C22×D4—44no—
907C22×D4—44no—
908C22×D4—48no—
909C22×D4—44no—
910C22×D4—44no—
911C22×D4—44no—
912C22×D4—44no—
913C22×D4—44no—
914C22×D4—44no—
915C22×D4—44no—
916C22×D4—48no—
917C22×D4—48no—
918C22×D4—44no—
919C22×D4—44no—
920C22×D4—44no—
921C22×D4—44no—
922C22×D4—44no—
923C22×D4—48no—
924C22×D4—48no—
925C22×D4—48no—
926C22×D4—48no—
927C22×D4—48no—
928C22×D4—48no—
929C22×D4—48no—
930C22×D4—48no—
931C22×D4—82no—
932C22×D4—84no—
933C22×D4—84no—
934C22×D4—84no—
935C22×D4C2412yes—
936C22×D4C2411yescharacteristic
937C22×D4C2411yescharacteristic
938C22×D4C2411yescharacteristic
939C22×D4C2412yes—
940C22×D4C2412yes—
941C22×D4C2411yescharacteristic
942C22×D4C2412yes—
943C22×D4C2412yes—
944C22×D4C2414yes—
945C22×D4C2412yes—
946C22×D4C2414yes—
947C22×D4C2412yes—
948C22×D4C2414yes—
949C22×D4C2412yes—
950C22×D4C2414yes—
951C22×D4C2412yes—
952C22×D4C2412yes—
953C22×D4C2412yes—
954C22×D4C2411yescharacteristic
955C22×D4C2411yescharacteristic
956C22×D4C2412yes—
957C22×D4C2412yes—
958C22×D4C2412yes—
959C22×D4C2412yes—
960C22×D4C2412yes—
961C22×D4C2412yes—
962C22×D4C2412yes—
963C22×D4C2412yes—
964C22×D4C2414yes—
965C22×D4C2412yes—
966C22×D4C2414yes—
967C22×D4C2414yes—
968C22×D4C2414yes—
969C22×D4C2414yes—
970C22×D4C2414yes—
971C22×D4C2414yes—
972C22×D4C2412yes—
973C22×D4C2414yes—
974C22×D4C2412yes—
975C22×D4C2414yes—
976C22×D4C2412yes—
977C22×D4C2414yes—
978C22×D4C2414yes—
979C22×D4C2414yes—
980C22×D4C2414yes—
981C22×D4C2414yes—
982C22×D4C2414yes—
983C22×D4C2414yes—
984C22×D4C2412yes—
985C22×D4C2414yes—
986C22×D4C2414yes—
987C23×C4C2412yes—
988C23×C4C2412yes—
989C23×C4C2412yes—
990C23×C4C2411yescharacteristic
991C23×C4C2412yes—
992C23×C4C2411yescharacteristic
993C23×C4C2412yes—
994C23×C4C2411yescharacteristic
995C23×C4C2411yescharacteristic
996C23×C4C2412yes—
997C23×C4C2412yes—
998C23×C4C2411yescharacteristic
999C23×C4C2414yes—
1000C23×C4C2414yes—
1001C23×C4C2412yes—
1002C23×C4C2412yes—
1003C23×C4C2414yes—
1004C23×C4C2414yes—
1005C23×C4C2414yes—
1006C23×C4C2411yescharacteristic
1007C23×C4C2414yes—
1008C4⋊Q8—24no—
1009C4⋊Q8—24no—
1010C4⋊Q8—24no—
1011C4⋊Q8—44no—
1012#127—28no—
1013#127—24no—
1014#127—28no—
1015#127—216no—
1016#127—28no—
1017#127—216no—
1018#127—24no—
1019#127—216no—
1020#127—24no—
1021#127—24no—
1022#127—28no—
1023#127—24no—
1024#127—44no—
1025#127—44no—
1026#127—44no—
1027#127—48no—
1028#127—84no—
1029#127C2×D418yes—
1030#127C2×D4116yescomplemented
1031#126—28no—
1032#126—216no—
1033#126—216no—
1034#125—24no—
1035#124—24no—
1036#124—28no—
1037#124—216no—
1038#124—28no—
1039#124—28no—
1040#124—216no—
1041#124—28no—
1042#124—28no—
1043#124—44no—
1044#124—44no—
1045#124—44no—
1046#124—48no—
1047#124—44no—
1048#123—216no—
1049#123—28no—
1050#123—216no—
1051#123—216no—
1052#123—48no—
1053#123—48no—
1054#123—48no—
1055#123—48no—
1056C22⋊Q8—24no—
1057C22⋊Q8—28no—
1058C22⋊Q8—216no—
1059C22⋊Q8—28no—
1060C22⋊Q8—28no—
1061C22⋊Q8—44no—
1062C22⋊Q8—44no—
1063#121—28no—
1064#121—28no—
1065#121—24no—
1066#121—24no—
1067#121—28no—
1068#121—216no—
1069#121—28no—
1070#121—216no—
1071#121—216no—
1072#121—28no—
1073#121—216no—
1074#121—216no—
1075#121—28no—
1076#121—24no—
1077#121—28no—
1078#121—28no—
1079#121—216no—
1080#121—28no—
1081#121—216no—
1082#121—24no—
1083#121—24no—
1084#121—28no—
1085#121—24no—
1086#121—24no—
1087#121—28no—
1088#121—216no—
1089#121—24no—
1090#121—28no—
1091#121—24no—
1092#121—216no—
1093#121—28no—
1094#121—28no—
1095#121—44no—
1096#121—48no—
1097#121—48no—
1098#121—48no—
1099#121—44no—
1100#121—44no—
1101#121—44no—
1102#121—48no—
1103#121—44no—
1104#121—44no—
1105#121—48no—
1106#121—44no—
1107#121—44no—
1108#121—44no—
1109#121—44no—
1110#121—44no—
1111#121—48no—
1112#121—44no—
1113#121—44no—
1114#121—44no—
1115#121—48no—
1116#121—48no—
1117#121—82no—
1118#121C2×D4116yescomplemented
1119#121C2×D4132yescomplemented
1120#120—216no—
1121#120—216no—
1122#120—216no—
1123#120—216no—
1124#120—216no—
1125#120—216no—
1126#120—216no—
1127#120—216no—
1128#120—216no—
1129#120—216no—
1130#120—48no—
1131#120—48no—
1132#120—48no—
1133#120—48no—
1134#120—48no—
1135#120—48no—
1136#120—48no—
1137#120—48no—
1138#120—48no—
1139#120—48no—
1140#120—48no—
1141#120—48no—
1142#120—48no—
1143#120—48no—
1144#120—48no—
1145#120—84no—
1146C4×Q8—24no—
1147C4×Q8—28no—
1148C4×Q8C2×D418yescomplemented
1149C4×D4—28no—
1150C4×D4—28no—
1151C4×D4—216no—
1152C4×D4—28no—
1153C4×D4—216no—
1154C4×D4—28no—
1155C4×D4—24no—
1156C4×D4—28no—
1157C4×D4—24no—
1158C4×D4—28no—
1159C4×D4—28no—
1160C4×D4—24no—
1161C4×D4—24no—
1162C4×D4—28no—
1163C4×D4—24no—
1164C4×D4—28no—
1165C4×D4—24no—
1166C4×D4—28no—
1167C4×D4—24no—
1168C4×D4—28no—
1169C4×D4—28no—
1170C4×D4—24no—
1171C4×D4—24no—
1172C4×D4—44no—
1173C4×D4—44no—
1174C4×D4—44no—
1175C4×D4—44no—
1176C4×D4—44no—
1177C4×D4—44no—
1178C4×D4—44no—
1179C4×D4—44no—
1180C4×D4—42no—
1181C4×D4—82no—
1182C4×D4—84no—
1183C4×D4C2×D418yescomplemented
1184C4×D4C2×D4116yescomplemented
1185#117—24no—
1186#117—28no—
1187#117—28no—
1188#117—28no—
1189#117—44no—
1190C2×C4⋊C4—28no—
1191C2×C4⋊C4C2411yescharacteristic
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2414yes—
1194C2×C4⋊C4C2411yescharacteristic
1195C2×C4⋊C4C2411yescharacteristic
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2411yescharacteristic
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2411yescharacteristic
1204C2×C4⋊C4C2411yescharacteristic
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2411yescharacteristic
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2411yescharacteristic
1210C2×C4⋊C4C2411yescharacteristic
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2411yescharacteristic
1214C2×C4⋊C4C2414yes—
1215C2×C4⋊C4C2414yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2414yes—
1225C2×C4⋊C4C2414yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2411yescharacteristic
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2411yescharacteristic
1230C2×C4⋊C4C2411yescharacteristic
1231C2×C22⋊C4—216no—
1232C2×C22⋊C4—48no—
1233C2×C22⋊C4—48no—
1234C2×C22⋊C4—48no—
1235C2×C22⋊C4—48no—
1236C2×C22⋊C4C2411yescharacteristic
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2412yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2414yes—
1272C2×C22⋊C4C2412yes—
1273C2×C22⋊C4C2411yescharacteristic
1274C2×C22⋊C4C2411yescharacteristic
1275C2×C22⋊C4C2411yescharacteristic
1276C2×C22⋊C4C2411yescharacteristic
1277C2×C22⋊C4C2412yes—
1278C2×C22⋊C4C2412yes—
1279C2×C22⋊C4C2414yes—
1280C2×C22⋊C4C2412yes—
1281C2×C22⋊C4C2412yes—
1282C2×C22⋊C4C2412yes—
1283C2×C22⋊C4C2412yes—
1284C2×C22⋊C4C2412yes—
1285C2×C22⋊C4C2414yes—
1286C2×C22⋊C4C2414yes—
1287C2×C22⋊C4C2414yes—
1288C2×C22⋊C4C2414yes—
1289C2×C22⋊C4C2414yes—
1290C2×C22⋊C4C2414yes—
1291C2×C22⋊C4C2414yes—
1292C2×C22⋊C4C2414yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2414yes—
1295C2×C22⋊C4C2414yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2414yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2411yescharacteristic
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2414yes—
1309C2×C22⋊C4C2414yes—
1310C2×C22⋊C4C2414yes—
1311C2×C22⋊C4C2414yes—
1312C2×C22⋊C4C2414yes—
1313C2×C22⋊C4C2414yes—
1314C2×C22⋊C4C2414yes—
1315C2×C22⋊C4C2414yes—
1316C2×C22⋊C4C2414yes—
1317C2×C22⋊C4C2414yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2414yes—
1320C2×C22⋊C4C2412yes—
1321C2×C42—24no—
1322C2×C42—28no—
1323C2×C42—24no—
1324C2×C42—44no—
1325C2×C42C2411yescharacteristic
1326C2×C42C2412yes—
1327C2×C42C2411yescharacteristic
1328C2×C42C2414yes—
1329C2×C42C2411yescharacteristic
1330C2×C42C2411yescharacteristic
1331C2×C42C2411yescharacteristic
1332C2×C42C2412yes—
1333C2×C42C2411yescharacteristic
1334C2×C42C2412yes—
1335C2×C42C2412yes—
1336C2×C42C2411yescharacteristic
1337C2×C42C2411yescharacteristic
1338C2×C42C2411yescharacteristic
1339C2×C42C2414yes—
1340C2×C42C2411yescharacteristic
1341C2×C42C2414yes—
1342C2×C42C2411yescharacteristic
1343C2×C42C2412yes—
1344C2×C42C2412yes—
1345C2×C42C2412yes—
1346C2×C42C2411yescharacteristic
1347C2×C42C2411yescharacteristic
1348#95C2412yes—
1349#95C2412yes—
1350#95C2414yes—
1351#95C2414yes—
1352#95C2412yes—
1353#95C2412yes—
1354#95C2412yes—
1355#95C2412yes—
1356#95C2411yescharacteristic
1357#95C2412yes—
1358#95C2411yescharacteristic
1359#95C2411yescharacteristic
1360#95C2411yescharacteristic
1361#95C2412yes—
1362#95C2412yes—
1363#95C2411yescharacteristic
1364#95C2411yescharacteristic
1365#95C2412yes—
1366#95C2412yes—
1367#95C2412yes—
1368#95C2412yes—
1369#95C2412yes—
1370#95C2414yes—
1371#95C2414yes—
1372#95C2412yes—
1373#95C2412yes—
1374#95C2414yes—
1375#95C2414yes—
1376#95C2412yes—
1377#95C2414yes—
1378#95C2412yes—
1379#95C2414yes—
1380#95C2414yes—
1381#95C2414yes—
1382C24—28no—
1383C24—28no—
1384C24—28no—
1385C24—28no—
1386C24—28no—
1387C24—28no—
1388C24—28no—
1389C24—44no—
1390C24—44no—
1391C24—44no—
1392C24—44no—
1393C24—44no—
1394C24—44no—
1395C24—44no—
1396C24—44no—
1397C24—44no—
1398C24—44no—
1399C24—44no—
1400C24—44no—
1401C24—44no—
1402C24—44no—
1403C24—44no—
1404C24—44no—
1405C24—44no—
1406C24—44no—
1407C24—44no—
1408C24—44no—
1409C24—44no—
1410C24C2512yes—
1411C24C2512yes—
1412C24C2514yes—
1413C24C2512yes—
1414C24C2511yescharacteristic
1415C24C2514yes—
1416C24C2512yes—
1417C24C2512yes—
1418C24C2511yescharacteristic
1419#41—232no—
1420#41—432no—
1421#41—432no—
1422#41—464no—
1423#41—432no—
1424#41—816no—
1425#41—816no—
1426#41—816no—
1427C2×Q8—24no—
1428C2×Q8—24no—
1429C2×Q8—24no—
1430C2×Q8—22no—
1431C2×Q8—22no—
1432C2×Q8—24no—
1433C2×Q8—24no—
1434C2×Q8—24no—
1435C2×Q8—42no—
1436C2×Q8—42no—
1437C2×Q8—42no—
1438C2×Q8C22×D414yes—
1439C2×D4—24no—
1440C2×D4—24no—
1441C2×D4—28no—
1442C2×D4—24no—
1443C2×D4—28no—
1444C2×D4—24no—
1445C2×D4—28no—
1446C2×D4—24no—
1447C2×D4—22no—
1448C2×D4—24no—
1449C2×D4—24no—
1450C2×D4—28no—
1451C2×D4—24no—
1452C2×D4—24no—
1453C2×D4—28no—
1454C2×D4—24no—
1455C2×D4—24no—
1456C2×D4—28no—
1457C2×D4—24no—
1458C2×D4—28no—
1459C2×D4—28no—
1460C2×D4—28no—
1461C2×D4—28no—
1462C2×D4—28no—
1463C2×D4—28no—
1464C2×D4—24no—
1465C2×D4—24no—
1466C2×D4—24no—
1467C2×D4—28no—
1468C2×D4—24no—
1469C2×D4—22no—
1470C2×D4—22no—
1471C2×D4—22no—
1472C2×D4—22no—
1473C2×D4—24no—
1474C2×D4—28no—
1475C2×D4—24no—
1476C2×D4—28no—
1477C2×D4—24no—
1478C2×D4—24no—
1479C2×D4—24no—
1480C2×D4—28no—
1481C2×D4—24no—
1482C2×D4—24no—
1483C2×D4—24no—
1484C2×D4—22no—
1485C2×D4—22no—
1486C2×D4—24no—
1487C2×D4—24no—
1488C2×D4—22no—
1489C2×D4—22no—
1490C2×D4—24no—
1491C2×D4—24no—
1492C2×D4—28no—
1493C2×D4—22no—
1494C2×D4—24no—
1495C2×D4—22no—
1496C2×D4—22no—
1497C2×D4—24no—
1498C2×D4—24no—
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—24no—
1503C2×D4—24no—
1504C2×D4—24no—
1505C2×D4—24no—
1506C2×D4—24no—
1507C2×D4—28no—
1508C2×D4—28no—
1509C2×D4—24no—
1510C2×D4—432no—
1511C2×D4—432no—
1512C2×D4—42no—
1513C2×D4—42no—
1514C2×D4—41no—
1515C2×D4—44no—
1516C2×D4—42no—
1517C2×D4—42no—
1518C2×D4—44no—
1519C2×D4—42no—
1520C2×D4—44no—
1521C2×D4—44no—
1522C2×D4—44no—
1523C2×D4—44no—
1524C2×D4—44no—
1525C2×D4—42no—
1526C2×D4—44no—
1527C2×D4—42no—
1528C2×D4—44no—
1529C2×D4—42no—
1530C2×D4—42no—
1531C2×D4—42no—
1532C2×D4—42no—
1533C2×D4—44no—
1534C2×D4—42no—
1535C2×D4—464no—
1536C2×D4—42no—
1537C2×D4—42no—
1538C2×D4—42no—
1539C2×D4—42no—
1540C2×D4—42no—
1541C2×D4—42no—
1542C2×D4—44no—
1543C2×D4—44no—
1544C2×D4—44no—
1545C2×D4—44no—
1546C2×D4—44no—
1547C2×D4—44no—
1548C2×D4—44no—
1549C2×D4—44no—
1550C2×D4—44no—
1551C2×D4—44no—
1552C2×D4—44no—
1553C2×D4—44no—
1554C2×D4—44no—
1555C2×D4—44no—
1556C2×D4—42no—
1557C2×D4—44no—
1558C2×D4—44no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—44no—
1562C2×D4—44no—
1563C2×D4—44no—
1564C2×D4—44no—
1565C2×D4—44no—
1566C2×D4—44no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—44no—
1578C2×D4—44no—
1579C2×D4—44no—
1580C2×D4—42no—
1581C2×D4—44no—
1582C2×D4—44no—
1583C2×D4—44no—
1584C2×D4—44no—
1585C2×D4—44no—
1586C2×D4—44no—
1587C2×D4—44no—
1588C2×D4—44no—
1589C2×D4—44no—
1590C2×D4—44no—
1591C2×D4—432no—
1592C2×D4—464no—
1593C2×D4—464no—
1594C2×D4—816no—
1595C2×D4—816no—
1596C2×D4—816no—
1597C2×D4—816no—
1598C2×D4—816no—
1599C2×D4—816no—
1600C2×D4—832no—
1601C2×D4—832no—
1602C2×D4—832no—
1603C2×D4C22×D418yes—
1604C2×D4C22×D418yes—
1605C2×D4C22×D414yes—
1606C2×D4C22×D418yes—
1607C2×D4C22×D4116yes—
1608C2×D4C22×D4116yes—
1609C2×D4H(5,𝔽2)14yes—
1610C22×C4—24no—
1611C22×C4—24no—
1612C22×C4—22no—
1613C22×C4—24no—
1614C22×C4—24no—
1615C22×C4—24no—
1616C22×C4—22no—
1617C22×C4—28no—
1618C22×C4—28no—
1619C22×C4—24no—
1620C22×C4—22no—
1621C22×C4—24no—
1622C22×C4—22no—
1623C22×C4—22no—
1624C22×C4—22no—
1625C22×C4—24no—
1626C22×C4—24no—
1627C22×C4—28no—
1628C22×C4—24no—
1629C22×C4—22no—
1630C22×C4—24no—
1631C22×C4—24no—
1632C22×C4—22no—
1633C22×C4—24no—
1634C22×C4—22no—
1635C22×C4—22no—
1636C22×C4—24no—
1637C22×C4—22no—
1638C22×C4—24no—
1639C22×C4—24no—
1640C22×C4—24no—
1641C22×C4—24no—
1642C22×C4—22no—
1643C22×C4—22no—
1644C22×C4—24no—
1645C22×C4—22no—
1646C22×C4—24no—
1647C22×C4—24no—
1648C22×C4—28no—
1649C22×C4—28no—
1650C22×C4—44no—
1651C22×C4—44no—
1652C22×C4—44no—
1653C22×C4—44no—
1654C22×C4—42no—
1655C22×C4—41no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—44no—
1659C22×C4—44no—
1660C22×C4—44no—
1661C22×C4—44no—
1662C22×C4—44no—
1663C22×C4—44no—
1664C22×C4—41no—
1665C22×C4—42no—
1666C22×C4—44no—
1667C22×C4—44no—
1668C22×C4—42no—
1669C22×C4—41no—
1670C22×C4C22×D418yes—
1671C22×C4C22×D4116yes—
1672C22×C4H(5,𝔽2)14yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2514yes—
1677C22×C4C2512yes—
1678C22×C4C2511yescharacteristic
1679C22×C4C2511yescharacteristic
1680C22×C4C2511yescharacteristic
1681C22×C4C2511yescharacteristic
1682C22×C4C2511yescharacteristic
1683C22×C4C2512yes—
1684C22×C4C2511yescharacteristic
1685C22×C4C2512yes—
1686C22×C4C2514yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2511yescharacteristic
1691C22×C4C2512yes—
1692C22×C4C2511yescharacteristic
1693C22×C4C2511yescharacteristic
1694C22×C4C2512yes—
1695C22×C4C2511yescharacteristic
1696C22×C4C2511yescharacteristic
1697C22×C4C2511yescharacteristic
1698C22×C4C2511yescharacteristic
1699C4⋊C4—22no—
1700C4⋊C4—24no—
1701C4⋊C4—28no—
1702C4⋊C4—24no—
1703C4⋊C4—22no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—22no—
1708C4⋊C4—24no—
1709C4⋊C4—22no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—28no—
1713C4⋊C4—22no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—22no—
1718C4⋊C4—24no—
1719C4⋊C4—22no—
1720C4⋊C4—22no—
1721C4⋊C4—22no—
1722C4⋊C4—28no—
1723C4⋊C4—22no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—44no—
1734C4⋊C4—44no—
1735C4⋊C4C22×D414yes—
1736C4⋊C4C22×D418yes—
1737C4⋊C4C22×D414yes—
1738C4⋊C4H(5,𝔽2)14yescomplemented
1739C22⋊C4—24no—
1740C22⋊C4—28no—
1741C22⋊C4—24no—
1742C22⋊C4—28no—
1743C22⋊C4—28no—
1744C22⋊C4—28no—
1745C22⋊C4—24no—
1746C22⋊C4—22no—
1747C22⋊C4—28no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—28no—
1752C22⋊C4—28no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—28no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—28no—
1760C22⋊C4—24no—
1761C22⋊C4—28no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—22no—
1767C22⋊C4—24no—
1768C22⋊C4—28no—
1769C22⋊C4—24no—
1770C22⋊C4—28no—
1771C22⋊C4—28no—
1772C22⋊C4—28no—
1773C22⋊C4—28no—
1774C22⋊C4—28no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—22no—
1780C22⋊C4—22no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—22no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—44no—
1789C22⋊C4—44no—
1790C22⋊C4—44no—
1791C22⋊C4—44no—
1792C22⋊C4—44no—
1793C22⋊C4—44no—
1794C22⋊C4—44no—
1795C22⋊C4—41no—
1796C22⋊C4—44no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—44no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—44no—
1809C22⋊C4—44no—
1810C22⋊C4—44no—
1811C22⋊C4—44no—
1812C22⋊C4—44no—
1813C22⋊C4—44no—
1814C22⋊C4—44no—
1815C22⋊C4—44no—
1816C22⋊C4—44no—
1817C22⋊C4—44no—
1818C22⋊C4—44no—
1819C22⋊C4—42no—
1820C22⋊C4—44no—
1821C22⋊C4—42no—
1822C22⋊C4C22×D4116yes—
1823C22⋊C4C22×D418yes—
1824C42—22no—
1825C42—24no—
1826C42—22no—
1827C42—22no—
1828C42—22no—
1829C42—24no—
1830C42—22no—
1831C42—22no—
1832C42—28no—
1833C42—22no—
1834C42—24no—
1835C42—22no—
1836C42—24no—
1837C42—22no—
1838C42—42no—
1839C42—42no—
1840C42—44no—
1841C42—41no—
1842C42—41no—
1843C42—44no—
1844C42C22×D414yes—
1845C42C22×D418yes—
1846C42H(5,𝔽2)14yescomplemented
1847C23—22no—
1848C23—21no—
1849C23—22no—
1850C23—21no—
1851C23—22no—
1852C23—22no—
1853C23—22no—
1854C23—24no—
1855C23—24no—
1856C23—21no—
1857C23—22no—
1858C23—24no—
1859C23—24no—
1860C23—22no—
1861C23—21no—
1862C23—22no—
1863C23—21no—
1864C23—24no—
1865C23—22no—
1866C23—22no—
1867C23—22no—
1868C23—24no—
1869C23—22no—
1870C23—21no—
1871C23—22no—
1872C23—22no—
1873C23—21no—
1874C23—22no—
1875C23—24no—
1876C23—24no—
1877C23—22no—
1878C23—21no—
1879C23—24no—
1880C23—22no—
1881C23—21no—
1882C23—22no—
1883C23—22no—
1884C23—22no—
1885C23—21no—
1886C23—22no—
1887C23—22no—
1888C23—24no—
1889C23—22no—
1890C23—22no—
1891C23—22no—
1892C23—22no—
1893C23—22no—
1894C23—24no—
1895C23—21no—
1896C23—21no—
1897C23—22no—
1898C23—22no—
1899C23—22no—
1900C23—24no—
1901C23—24no—
1902C23—21no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—416no—
1907C23—416no—
1908C23—416no—
1909C23—88no—
1910C23—88no—
1911C23—88no—
1912C23—88no—
1913C23—88no—
1914C23—88no—
1915C23—88no—
1916C23—88no—
1917C23—88no—
1918C23—88no—
1919C23—88no—
1920C23—88no—
1921C23—88no—
1922C23—88no—
1923C23—88no—
1924C23—88no—
1925C23—88no—
1926C23—164no—
1927C23—164no—
1928C23—164no—
1929C23—164no—
1930C23—164no—
1931C23—164no—
1932C23—164no—
1933C23—164no—
1934C23C23×D418yes—
1935C23C23×D414yes—
1936C23C2×H(5,𝔽2)14yes—
1937C23C2×H(5,𝔽2)12yes—
1938C23C2611yescharacteristic
1939Q8—28no—
1940Q8—48no—
1941Q8—48no—
1942Q8—84no—
1943D4—216no—
1944D4—28no—
1945D4—216no—
1946D4—216no—
1947D4—28no—
1948D4—416no—
1949D4—48no—
1950D4—416no—
1951D4—44no—
1952D4—48no—
1953D4—416no—
1954D4—416no—
1955D4—48no—
1956D4—48no—
1957D4—416no—
1958D4—48no—
1959D4—48no—
1960D4—416no—
1961D4—48no—
1962D4—48no—
1963D4—416no—
1964D4—48no—
1965D4—48no—
1966D4—44no—
1967D4—44no—
1968D4—44no—
1969D4—48no—
1970D4—84no—
1971D4—84no—
1972D4—84no—
1973D4—84no—
1974D4—88no—
1975D4—88no—
1976D4—84no—
1977D4—84no—
1978D4—84no—
1979D4—84no—
1980D4—88no—
1981D4—88no—
1982D4—88no—
1983D4—88no—
1984D4—88no—
1985D4—88no—
1986D4—84no—
1987D4—84no—
1988D4—88no—
1989D4—88no—
1990D4—88no—
1991D4—88no—
1992D4—164no—
1993D4—164no—
1994D4—164no—
1995C2×C4—216no—
1996C2×C4—21no—
1997C2×C4—21no—
1998C2×C4—21no—
1999C2×C4—22no—
2000C2×C4—21no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—21no—
2007C2×C4—21no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—21no—
2012C2×C4—21no—
2013C2×C4—21no—
2014C2×C4—216no—
2015C2×C4—28no—
2016C2×C4—21no—
2017C2×C4—21no—
2018C2×C4—21no—
2019C2×C4—22no—
2020C2×C4—21no—
2021C2×C4—22no—
2022C2×C4—24no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—21no—
2026C2×C4—22no—
2027C2×C4—21no—
2028C2×C4—22no—
2029C2×C4—21no—
2030C2×C4—21no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—24no—
2034C2×C4—21no—
2035C2×C4—22no—
2036C2×C4—21no—
2037C2×C4—22no—
2038C2×C4—21no—
2039C2×C4—24no—
2040C2×C4—22no—
2041C2×C4—24no—
2042C2×C4—21no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—24no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—21no—
2049C2×C4—21no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—21no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—21no—
2057C2×C4—21no—
2058C2×C4—24no—
2059C2×C4—21no—
2060C2×C4—22no—
2061C2×C4—416no—
2062C2×C4—44no—
2063C2×C4—48no—
2064C2×C4—416no—
2065C2×C4—48no—
2066C2×C4—48no—
2067C2×C4—44no—
2068C2×C4—48no—
2069C2×C4—44no—
2070C2×C4—48no—
2071C2×C4—44no—
2072C2×C4—82no—
2073C2×C4—84no—
2074C2×C4—84no—
2075C2×C4—88no—
2076C2×C4—88no—
2077C2×C4—88no—
2078C2×C4—88no—
2079C2×C4C23×D414yes—
2080C2×C4C23×D412yes—
2081C2×C4C23×D414yes—
2082C2×C4C23×D414yes—
2083C2×C4C23×D412yes—
2084C2×C4C23×D412yes—
2085C2×C4C2×H(5,𝔽2)12yes—
2086C2×C4C2×H(5,𝔽2)12yes—
2087C2×C4C2×H(5,𝔽2)14yes—
2088C2×C4C2×H(5,𝔽2)12yes—
2089C2×C4C2×H(5,𝔽2)12yes—
2090C2×C4C2×H(5,𝔽2)12yes—
2091C2×C4C2×H(5,𝔽2)12yes—
2092C2×C4C2×H(5,𝔽2)12yes—
2093C2×C4#58512yes—
2094C22—24no—
2095C22—28no—
2096C22—24no—
2097C22—24no—
2098C22—22no—
2099C22—24no—
2100C22—28no—
2101C22—24no—
2102C22—28no—
2103C22—22no—
2104C22—22no—
2105C22—24no—
2106C22—41no—
2107C22—42no—
2108C22—42no—
2109C22—44no—
2110C22—41no—
2111C22—42no—
2112C22—41no—
2113C22—42no—
2114C22—44no—
2115C22—42no—
2116C22—44no—
2117C22—44no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—41no—
2122C22—41no—
2123C22—42no—
2124C22—44no—
2125C22—42no—
2126C22—42no—
2127C22—41no—
2128C22—42no—
2129C22—42no—
2130C22—44no—
2131C22—42no—
2132C22—44no—
2133C22—42no—
2134C22—41no—
2135C22—42no—
2136C22—42no—
2137C22—41no—
2138C22—42no—
2139C22—42no—
2140C22—44no—
2141C22—42no—
2142C22—41no—
2143C22—42no—
2144C22—42no—
2145C22—42no—
2146C22—44no—
2147C22—42no—
2148C22—42no—
2149C22—42no—
2150C22—42no—
2151C22—42no—
2152C22—41no—
2153C22—44no—
2154C22—42no—
2155C22—41no—
2156C22—44no—
2157C22—1616no—
2158C22—1616no—
2159C22—1616no—
2160C22—1616no—
2161C22C24×D411yescharacteristic
2162C22C22×H(5,𝔽2)11yescharacteristic
2163C22C22×H(5,𝔽2)11yescharacteristic
2164C22C22×H(5,𝔽2)11yescharacteristic
2165C22C22×H(5,𝔽2)11yescharacteristic
2166C22C2×#58511yescharacteristic
2167C22H(7,𝔽2)11yescharacteristic
2168C4—22no—
2169C4—22no—
2170C4—24no—
2171C4—22no—
2172C4—24no—
2173C4—24no—
2174C4—22no—
2175C4—22no—
2176C4—24no—
2177C4—41no—
2178C4—41no—
2179C4—42no—
2180C4—42no—
2181C4—42no—
2182C4—41no—
2183C4—41no—
2184C4—42no—
2185C4—41no—
2186C4—42no—
2187C4—44no—
2188C4—42no—
2189C4—41no—
2190C4—42no—
2191C4—44no—
2192C4#348414yes—
2193C4#349814yes—
2194C2—44no—
2195C2—48no—
2196C2—44no—
2197C2—42no—
2198C2—81no—
2199C2—84no—
2200C2—82no—
2201C2—82no—
2202C2—82no—
2203C2C2×#348411yescharacteristic
2204C2C2×#349811yescharacteristic
2205C2#6283411yescharacteristic
2206C2#6291211yescharacteristic
2207C2#6291211yescharacteristic
2208C2#6298711yescharacteristic
2209C2#6301411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3498C2semidirect
2. C2×#3546C2semidirect
3. #59816C2semidirect
4. #59408C2semidirect
5. #59126C2semidirect
6. #59124C2semidirect
7. #59035C2semidirect
8. #51899C2semidirect
9. #47942C2semidirect
10. #46424C2semidirect
11. #44932C2semidirect
12. #44899C2semidirect
13. #44877C2semidirect
14. #44870C2semidirect
15. #43893C2semidirect
16. #42909C2semidirect
17. #42426C2semidirect
18. #39957C2semidirect
19. #39876C2semidirect
20. #39747C2semidirect
21. #39471C2semidirect
22. #39342C2semidirect
23. #39342C2semidirect
24. #39138C2semidirect
25. #37674C2semidirect
26. #36504C2semidirect
27. #36260C2semidirect
28. #36121C2semidirect
29. #35921C2semidirect
30. #35680C2semidirect
31. #35607C2semidirect
32. #35513C2semidirect
33. #34925C2semidirect
34. #34727C2semidirect
35. #34330C2semidirect
36. C22×H(5,𝔽2)C22semidirect
38. C2×#560C22semidirect
40. C2×#556C22semidirect
41. C2×#553C22semidirect
43. C2×#550C22semidirect
44. C2×#550C22semidirect
45. C2×#550C22semidirect
46. C2×#547C22semidirect
47. C2×#546C22semidirect
48. C2×#546C22semidirect
49. C2×#546C22semidirect
50. C2×#546C22semidirect
51. C2×#546C22semidirect
52. C2×#546C22semidirect
54. C2×D42C22semidirect
55. C2×D42C22semidirect
56. C2×D42C22semidirect
57. C2×D42C22semidirect
58. C2×D42C22semidirect
59. C2×D42C22semidirect
60. C2×D42C22semidirect
61. C2×D42C22semidirect
62. C2×D42C22semidirect
63. C2×D42C22semidirect
64. C2×#542C22semidirect
65. C2×#538C22semidirect
66. C2×#537C22semidirect
67. C2×#535C22semidirect
68. C2×#535C22semidirect
69. C2×#535C22semidirect
70. C2×#535C22semidirect
71. C2×#535C22semidirect
72. C2×#532C22semidirect
73. C2×#532C22semidirect
74. C2×#532C22semidirect
75. C2×#532C22semidirect
76. C2×#532C22semidirect
78. C22×#127C22semidirect
79. C2×#529C22semidirect
80. C2×C4×#41C22semidirect
81. #2858C22semidirect
82. #2857C22semidirect
83. #2856C22semidirect
84. #2856C22semidirect
85. #2850C22semidirect
86. #2816C22semidirect
87. #2714C22semidirect
88. #2714C22semidirect
89. #2714C22semidirect
90. #2710C22semidirect
91. #2710C22semidirect
92. #2703C22semidirect
93. #2703C22semidirect
94. #2685C22semidirect
95. #2685C22semidirect
96. #2679C22semidirect
97. #2679C22semidirect
98. #2678C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2671C22semidirect
105. #2671C22semidirect
106. #2671C22semidirect
107. #2670C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2669C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2669C22semidirect
118. #2668C22semidirect
119. #2668C22semidirect
120. #2661C22semidirect
121. #2657C22semidirect
122. #2656C22semidirect
123. #2635C22semidirect
124. #2619C22semidirect
125. #2615C22semidirect
126. #2615C22semidirect
127. #2613C22semidirect
128. #2602C22semidirect
129. #2564C22semidirect
130. #2559C22semidirect
131. #2555C22semidirect
132. #2555C22semidirect
133. #2555C22semidirect
134. #2551C22semidirect
135. #2548C22semidirect
136. #2547C22semidirect
137. #2544C22semidirect
138. #2544C22semidirect
139. #2542C22semidirect
140. #2541C22semidirect
141. #2541C22semidirect
142. #2541C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
145. #2541C22semidirect
146. #2541C22semidirect
147. #2541C22semidirect
148. #2540C22semidirect
149. #2540C22semidirect
150. #2540C22semidirect
151. #2540C22semidirect
152. #2539C22semidirect
153. #2539C22semidirect
154. #2539C22semidirect
155. #2539C22semidirect
156. #2539C22semidirect
157. #2537C22semidirect
158. #2537C22semidirect
159. #2537C22semidirect
160. #2537C22semidirect
161. #2537C22semidirect
162. #2537C22semidirect
163. #2536C22semidirect
164. #2535C22semidirect
165. #2521C22semidirect
166. #2501C22semidirect
167. #2492C22semidirect
168. #2491C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
172. #2491C22semidirect
173. #2490C22semidirect
174. #2487C22semidirect
175. #2479C22semidirect
176. #2479C22semidirect
177. #2471C22semidirect
178. #2467C22semidirect
179. #2467C22semidirect
180. #2456C22semidirect
181. #2454C22semidirect
182. #2448C22semidirect
183. #2445C22semidirect
184. #2445C22semidirect
185. #2445C22semidirect
186. #2441C22semidirect
187. #2435C22semidirect
188. #2435C22semidirect
189. #2435C22semidirect
190. #2433C22semidirect
191. #2433C22semidirect
192. #2433C22semidirect
193. #2433C22semidirect
194. #2433C22semidirect
195. #2433C22semidirect
196. #2433C22semidirect
197. #2433C22semidirect
198. #2432C22semidirect
200. #2431C22semidirect
201. #2431C22semidirect
202. #2431C22semidirect
203. #2431C22semidirect
204. #2430C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
209. #2428C22semidirect
210. #2428C22semidirect
211. #2428C22semidirect
212. #2428C22semidirect
213. #2427C22semidirect
214. #2424C22semidirect
215. #2423C22semidirect
216. #2423C22semidirect
217. #2422C22semidirect
218. #2418C22semidirect
219. #2418C22semidirect
220. #2418C22semidirect
221. #2414C22semidirect
222. #2414C22semidirect
223. #2414C22semidirect
224. #2414C22semidirect
225. #2414C22semidirect
226. #2410C22semidirect
227. #2410C22semidirect
228. #2410C22semidirect
229. #2410C22semidirect
230. #2410C22semidirect
231. #2410C22semidirect
232. #2410C22semidirect
233. #2408C22semidirect
234. #2408C22semidirect
235. #2408C22semidirect
236. #2408C22semidirect
237. #2408C22semidirect
238. #2408C22semidirect
239. #2408C22semidirect
240. #2408C22semidirect
241. #2408C22semidirect
242. #2408C22semidirect
243. #2408C22semidirect
244. #2408C22semidirect
245. #2408C22semidirect
246. #2407C22semidirect
247. #2407C22semidirect
248. #2407C22semidirect
249. #2407C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2404C22semidirect
254. #2403C22semidirect
255. #2403C22semidirect
256. #2403C22semidirect
257. #2403C22semidirect
258. #2397C22semidirect
259. #2392C22semidirect
260. #2388C22semidirect
261. #2388C22semidirect
262. C2×#392C22semidirect
263. #2366C22semidirect
264. #2366C22semidirect
265. #2364C22semidirect
266. #2363C22semidirect
267. #2363C22semidirect
268. #2357C22semidirect
269. #2355C22semidirect
270. #2354C22semidirect
271. #2354C22semidirect
272. #2339C22semidirect
273. D4×C22⋊C4C22semidirect
274. D4×C22⋊C4C22semidirect
275. D4×C22⋊C4C22semidirect
276. D4×C22⋊C4C22semidirect
277. #2333C22semidirect
278. #2328C22semidirect
279. #2326C22semidirect
280. #2324C22semidirect
281. #2321C22semidirect
282. #2311C22semidirect
283. C4×#127C22semidirect
284. C4×#127C22semidirect
285. C4×#127C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
293. C4×#121C22semidirect
294. #2297C22semidirect
295. #2295C22semidirect
296. C2×#390C22semidirect
297. #2290C22semidirect
298. #2275C22semidirect
299. C42×D4C22semidirect
300. C42×D4C22semidirect
333. #550D4semidirect
885. C2×#41C2×D4semidirect
1030. #127C2×D4semidirect
1118. #121C2×D4semidirect
1119. #121C2×D4semidirect
1148. C4×Q8C2×D4semidirect
1183. C4×D4C2×D4semidirect
1184. C4×D4C2×D4semidirect
1738. C4⋊C4H(5,𝔽2)semidirect
1846. C42H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
C2×#34982
C2×#35462
#598162
#594082
#591262
#591242
#590352
#518992
#479422
#464242
#449322
#448992
#448772
#448702
#438932
#429092
#424262
#399572
#398762
#397472
#394712
#393422
#391382
#376742
#365042
#362602
#361212
#359212
#356802
#356072
#355132
#349252
#347272
#343302