Finite Group Databasebeta

← #8891492

Subgroups — #8891492

Order 512.

5514 conjugacy classes of subgroups.

The subgroup lattice has 1446 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57954C214yesmaximal, complemented
2#54868C214yesmaximal, complemented
3#54851C212yesmaximal, complemented
4#53489C212yesmaximal, complemented
5#49254C214yesmaximal, complemented
6#48685C214yesmaximal, complemented
7#48143C214yesmaximal, complemented
8#47438C214yesmaximal, complemented
9#46856C212yesmaximal, complemented
10#46430C214yesmaximal, complemented
11#46428C212yesmaximal, complemented
12#46364C214yesmaximal, complemented
13#46355C212yesmaximal, complemented
14#40361C214yesmaximal, complemented
15#39401C214yesmaximal, complemented
16#37769C212yesmaximal, complemented
17#37744C212yesmaximal, complemented
18#37300C212yesmaximal, complemented
19#36707C211yesmaximal, characteristic, complemented
20#35634C211yesmaximal, characteristic, complemented
21#35430C212yesmaximal, complemented
22#35422C212yesmaximal, complemented
23#35377C211yesmaximal, characteristic, complemented
24C2×#538C2214yescomplemented
25C2×#538C2212yescomplemented
26C2×#537C2211yescharacteristic, complemented
27C2×#537C2211yescharacteristic, complemented
28C2×#536C2212yescomplemented
29C2×#535C2212yescomplemented
30C2×#534C2211yescharacteristic
31C2×#534C2212yescomplemented
32C2×#525C2212yescomplemented
33C22×C22⋊Q8C2211yescharacteristic, complemented
34#2856C2212yescomplemented
35#2850C2212yescomplemented
36#2847C2211yescharacteristic
37#2847C2211yescharacteristic, complemented
38#2837C2214yescomplemented
39#2828C2212yescomplemented
40#2823C2212yescomplemented
41#2816C2214yescomplemented
42#2815C2212yes—
43#2813C2214yescomplemented
44#2795C2214yescomplemented
45#2795C2212yescomplemented
46#2794C2212yescomplemented
47#2793C2214yescomplemented
48#2773C2214yescomplemented
49#2752C2214yescomplemented
50#2748C2214yescomplemented
51#2743C2214yescomplemented
52#2741C2214yescomplemented
53#2730C2214yescomplemented
54#2730C2214yescomplemented
55#2730C2214yescomplemented
56#2730C2214yescomplemented
57#2730C2214yescomplemented
58#2716C2214yescomplemented
59#2716C2214yescomplemented
60#2714C2214yes—
61#2714C2214yescomplemented
62#2705C2214yescomplemented
63#2705C2214yescomplemented
64#2700C2214yescomplemented
65#2699C2214yescomplemented
66#2699C2214yescomplemented
67#2699C2212yescomplemented
68#2696C2214yescomplemented
69#2696C2214yescomplemented
70#2696C2214yescomplemented
71#2693C2214yescomplemented
72#2692C2214yescomplemented
73#2692C2214yescomplemented
74#2688C2214yescomplemented
75#2685C2214yescomplemented
76#2685C2214yescomplemented
77#2685C2214yescomplemented
78#2685C2214yescomplemented
79#2685C2214yescomplemented
80#2679C2212yescomplemented
81#2678C2214yescomplemented
82#2678C2214yescomplemented
83#2678C2214yescomplemented
84#2678C2214yescomplemented
85#2678C2214yescomplemented
86#2676C2214yescomplemented
87#2676C2214yescomplemented
88#2676C2214yescomplemented
89#2673C2214yescomplemented
90#2673C2214yescomplemented
91#2673C2214yescomplemented
92#2673C2214yescomplemented
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2670C2214yes—
96#2670C2214yescomplemented
97#2670C2214yescomplemented
98#2669C2214yescomplemented
99#2669C2214yescomplemented
100#2668C2214yescomplemented
101#2668C2214yescomplemented
102#2668C2214yescomplemented
103#2668C2214yescomplemented
104#2656C2212yescomplemented
105#2651C2214yescomplemented
106#2639C2212yescomplemented
107#2635C2214yescomplemented
108#2635C2214yescomplemented
109#2635C2214yescomplemented
110#2626C2212yescomplemented
111#2620C2212yescomplemented
112#2619C2212yescomplemented
113#2618C2211yescharacteristic, complemented
114#2618C2211yescharacteristic, complemented
115#2617C2212yescomplemented
116#2608C2212yescomplemented
117#2602C2214yescomplemented
118#2597C2214yescomplemented
119#2593C2212yescomplemented
120#2591C2212yescomplemented
121#2591C2212yescomplemented
122#2589C2214yescomplemented
123#2588C2214yescomplemented
124#2575C2214yescomplemented
125#2561C2214yescomplemented
126#2559C2214yescomplemented
127#2557C2214yescomplemented
128#2555C2214yescomplemented
129#2554C2214yescomplemented
130#2554C2214yescomplemented
131#2554C2214yescomplemented
132#2542C2214yescomplemented
133#2542C2214yescomplemented
134#2540C2214yescomplemented
135#2540C2214yescomplemented
136#2539C2212yescomplemented
137#2539C2212yescomplemented
138#2539C2212yescomplemented
139#2537C2212yescomplemented
140#2521C2214yescomplemented
141#2516C2214yescomplemented
142#2516C2214yescomplemented
143#2516C2214yescomplemented
144#2512C2214yescomplemented
145#2504C2212yescomplemented
146#2501C2212yescomplemented
147#2501C2212yescomplemented
148#2500C2212yescomplemented
149#2499C2212yescomplemented
150#2496C2214yescomplemented
151#2491C2214yescomplemented
152#2491C2214yescomplemented
153#2488C2214yescomplemented
154#2488C2214yescomplemented
155#2479C2214yescomplemented
156#2477C2214yescomplemented
157#2476C2214yescomplemented
158#2472C2214yescomplemented
159#2472C2214yescomplemented
160#2472C2214yescomplemented
161#2471C2214yescomplemented
162#2471C2214yescomplemented
163#2471C2214yescomplemented
164#2467C2214yescomplemented
165#2467C2214yescomplemented
166#2467C2214yescomplemented
167#2459C2214yescomplemented
168#2459C2214yescomplemented
169#2459C2214yescomplemented
170#2457C2214yescomplemented
171#2457C2214yescomplemented
172#2457C2214yescomplemented
173#2457C2214yescomplemented
174#2456C2214yescomplemented
175#2445C2214yescomplemented
176#2444C2214yescomplemented
177#2436C2212yescomplemented
178#2436C2212yescomplemented
179#2435C2212yescomplemented
180#2433C2214yes—
181#2433C2214yescomplemented
182#2433C2212yescomplemented
183#2431C2212yes—
184#2431C2212yescomplemented
185#2431C2214yescomplemented
186#2428C2214yescomplemented
187#2428C2214yescomplemented
188#2424C2214yes—
189#2424C2214yescomplemented
190#2424C2214yescomplemented
191#2424C2214yescomplemented
192#2410C2214yescomplemented
193#2408C2214yescomplemented
194#2408C2214yescomplemented
195#2406C2212yescomplemented
196#2404C2212yescomplemented
197#2404C2214yescomplemented
198#2403C2214yescomplemented
199#2403C2214yescomplemented
200#2375C2214yescomplemented
201#2366C2214yescomplemented
202#2364C2214yescomplemented
203D4×C22⋊C4C2214yescomplemented
204#2335C2214yescomplemented
205#2333C2212yescomplemented
206#2333C2212yescomplemented
207#2333C2214yescomplemented
208#2332C2214yescomplemented
209#2329C2212yescomplemented
210#2325C2212yescomplemented
211#2313C2211yescharacteristic, complemented
212#2308C2212yescomplemented
213C4×#123C2214yescomplemented
214C4×#121C2214yescomplemented
215#2297C2212yescomplemented
216C2×#386C2212yescomplemented
217#2274C2211yescharacteristic, complemented
218#2273C2211yescharacteristic, complemented
219C22×#41C2312yes—
220C22×#41C2312yes—
221C23×Q8C2311yescharacteristic
222C23×D4C2312yes—
223C23×D4C2314yes—
224C23×D4C2312yes—
225C24×C4C2311yescharacteristic
226#538—48no—
227#538—416no—
228#537—44no—
229#537—44no—
230#536—48no—
231#535—48no—
232#534—44no—
233#534—48no—
234C2×C4⋊Q8C2314yes—
235C2×#127C2314yes—
236C2×#127C2314yes—
237C2×#127C2312yes—
238C2×#127C2312yes—
239C2×#126C2314yes—
240C2×#126C2314yes—
241C2×#126C2314yes—
242C2×#126C2314yes—
243C2×#124C2314yes—
244C2×#124C2314yes—
245C2×#124C2314yes—
246C2×#124C2314yes—
247C2×#124C2314yes—
248C2×#124C2312yes—
249C2×#124C2312yes—
250#525—48no—
251C2×#123C2314yes—
252C2×#123C2314yes—
253C2×#123C2314yes—
254C2×#123C2314yes—
255C2×#123C2314yes—
256C2×#123C2314yes—
257C2×#123C2314yes—
258C2×#123C2312yes—
259C2×#123C2312yes—
260C2×C22⋊Q8—44no—
261C2×C22⋊Q8C2312yes—
262C2×C22⋊Q8C2314yes—
263C2×C22⋊Q8C2314yes—
264C2×C22⋊Q8C2312yes—
265C2×C22⋊Q8C2312yes—
266C2×C22⋊Q8C2314yes—
267C2×C22⋊Q8C2314yes—
268C2×C22⋊Q8C2314yes—
269C2×C22⋊Q8C2312yes—
270C2×#121C2312yes—
271C2×#121C2312yes—
272C2×#121C2312yes—
273C2×#121C2314yes—
274C2×#121C2314yes—
275C2×#121C2312yes—
276C2×#121C2311yescharacteristic
277C2×#121C2312yes—
278C2×#121C2311yescharacteristic
279C2×#121C2312yes—
280C2×#121C2312yes—
281C2×#121C2312yes—
282C2×#121C2312yes—
283C2×#121C2314yes—
284C2×#121C2314yes—
285C2×#121C2312yes—
286C2×#121C2314yes—
287C2×#121C2314yes—
288C2×#121C2314yes—
289C2×#121C2312yes—
290C2×#121C2314yes—
291C2×#121C2314yes—
292C2×#121C2312yes—
293C2×#121C2312yes—
294C2×#121C2314yes—
295C2×#121C2314yes—
296C2×#120C2314yes—
297C2×#120C2314yes—
298C2×#120C2314yes—
299C2×#120C2314yes—
300C2×#120C2314yes—
301C2×#120C2314yes—
302C2×#120C2314yes—
303C2×#120C2314yes—
304C2×#120C2314yes—
305C2×#120C2314yes—
306C2×#120C2312yes—
307C2×#120C2312yes—
308C2×#120C2314yes—
309C2×#120C2314yes—
310C2×C4×D4C2314yes—
311C2×C4×D4C2314yes—
312C2×C4×D4C2314yes—
313C2×C4×D4C2314yes—
314C2×C4×D4C2314yes—
315C2×C4×D4C2314yes—
316C2×C4×D4C2314yes—
317C2×#117C2312yes—
318C2×#117C2312yes—
319C2×#117C2312yes—
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2314yes—
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2312yes—
327C22×C22⋊C4C2312yes—
328C22×C22⋊C4C2312yes—
329C22×C42C2312yes—
330#400C2312yes—
331#400C2314yes—
332#400C2314yes—
333#400C2314yes—
334#400C2314yes—
335#400C2314yes—
336#400C2312yes—
337#400C2314yes—
338#399C2314yes—
339#399C2314yes—
340#399C2314yes—
341#399C2314yes—
342#399C2314yes—
343#399C2314yes—
344#399C2314yes—
345#399C2314yes—
346#399C2314yes—
347#399C2314yes—
348#398C2314yes—
349#398C2314yes—
350#398C2312yes—
351#398C2314yes—
352#398C2312yes—
353#397C2314yes—
354#397C2314yes—
355#397C2314yes—
356#397C2314yes—
357#397C2314yes—
358#397C2314yes—
359#397C2314yes—
360#397C2314yes—
361#397C2314yes—
362#397C2314yes—
363#397C2314yes—
364#396C2314yes—
365#396C2314yes—
366#396C2314yes—
367#396C2314yes—
368#396C2314yes—
369#396C2314yes—
370#396C2314yes—
371#396C2314yes—
372#396C2314yes—
373#396C2314yes—
374#395C2314yes—
375#394C2314yes—
376#394C2314yes—
377#394C2314yes—
378#394C2314yes—
379#394C2314yes—
380#394C2314yes—
381#394C2312yes—
382#394C2314yes—
383#394C2312yes—
384#394C2314yes—
385#394C2314yes—
386#394C2314yes—
387#394C2314yes—
388#394C2314yes—
389#394C2312yes—
390#394C2314yes—
391#394C2314yes—
392#394C2314yes—
393#394C2314yes—
394#394C2314yes—
395#394C2314yes—
396#394C2312yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2314yes—
402#394C2314yes—
403#394C2314yes—
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#393C2314yes—
410#393C2314yes—
411#393C2314yes—
412#393C2314yes—
413#393C2314yes—
414#393C2314yes—
415#393C2314yes—
416#392C2314yes—
417#392C2314yes—
418#392C2314yes—
419#392C2314yes—
420#392C2314yes—
421#392C2314yes—
422#392C2314yes—
423#392C2314yes—
424#392C2314yes—
425#392C2314yes—
426#392C2314yes—
427#392C2314yes—
428#392C2314yes—
429#392C2314yes—
430#392C2314yes—
431#392C2314yes—
432#392C2314yes—
433#392C2314yes—
434#392C2314yes—
435#392C2314yes—
436#392C2314yes—
437#392C2314yes—
438#392C2314yes—
439#392C2314yes—
440#392C2314yes—
441#392C2314yes—
442#391C2314yes—
443#391C2314yes—
444#391C2314yes—
445#391C2312yes—
446#391C2314yes—
447#391C2312yes—
448#390C2312yes—
449#390C2314yes—
450#390C2314yes—
451#390C2314yes—
452#390C2314yes—
453#390C2314yes—
454#390C2312yes—
455#390C2314yes—
456#390C2314yes—
457#390C2312yes—
458#390C2314yes—
459#390C2312yes—
460#390C2312yes—
461#390C2312yes—
462#390C2312yes—
463#390C2312yes—
464#390C2314yes—
465#390C2314yes—
466#390C2314yes—
467#390C2314yes—
468#390C2314yes—
469#390C2314yes—
470#390C2314yes—
471#390C2314yes—
472#390C2314yes—
473#390C2314yes—
474#390C2314yes—
475#389C2314yes—
476#389C2314yes—
477#389C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#387C2314yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#387C2314yes—
520#387C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#386C2314yes—
531#386C2314yes—
532#386C2314yes—
533#386C2314yes—
534#386C2314yes—
535#386C2314yes—
536#386C2314yes—
537#386C2314yes—
538#386C2314yes—
539#386C2314yes—
540#386C2314yes—
541#386C2314yes—
542#386C2314yes—
543#386C2314yes—
544#386C2314yes—
545#386C2314yes—
546#386C2314yes—
547#386C2314yes—
548#386C2312yes—
549#386C2314yes—
550#386C2312yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2314yes—
555#386C2312yes—
556#386C2312yes—
557#386C2314yes—
558#386C2314yes—
559#386C2314yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2314yes—
574#385C2314yes—
575#385C2314yes—
576#384C2312yes—
577#384C2312yes—
578#384C2312yes—
579#384C2312yes—
580#382C2312yes—
581#382C2312yes—
582#381C2314yes—
583#381C2314yes—
584#381C2314yes—
585#381C2314yes—
586#381C2312yes—
587#381C2314yes—
588#380C2311yescharacteristic
589#380C2311yescharacteristic
590#380C2312yes—
591#380C2312yes—
592#380C2314yes—
593#380C2314yes—
594#380C2314yes—
595#380C2314yes—
596#379C2314yes—
597#379C2314yes—
598#379C2314yes—
599#379C2314yes—
600#379C2314yes—
601#379C2314yes—
602C4×C4⋊C4C2314yes—
603C4×C4⋊C4C2314yes—
604C4×C4⋊C4C2314yes—
605C4×C4⋊C4C2314yes—
606C4×C4⋊C4C2314yes—
607C4×C22⋊C4C2314yes—
608C4×C22⋊C4C2312yes—
609C4×C22⋊C4C2314yes—
610C4×C22⋊C4C2314yes—
611C4×C22⋊C4C2312yes—
612C4×C22⋊C4C2314yes—
613C4×C22⋊C4C2312yes—
614C4×C22⋊C4C2312yes—
615C4×C22⋊C4C2314yes—
616C4×C22⋊C4C2314yes—
617C4×C22⋊C4C2312yes—
618C4×C22⋊C4C2312yes—
619C4×C22⋊C4C2314yes—
620C4×C22⋊C4C2314yes—
621C4×C22⋊C4C2312yes—
622C2×#95C2312yes—
623C2×#95C2312yes—
624C25C2411yescharacteristic
625C25C2412yes—
626C25C2414yes—
627C2×#41—28no—
628C2×#41—44no—
629C2×#41—44no—
630C2×#41—44no—
631C2×#41—82no—
632C2×#41—82no—
633C22×Q8—42no—
634C22×Q8—44no—
635C22×Q8C2414yes—
636C22×Q8C2412yes—
637C22×Q8C2412yes—
638C22×D4—48no—
639C22×D4—44no—
640C22×D4—44no—
641C22×D4—44no—
642C22×D4—48no—
643C22×D4—44no—
644C22×D4—82no—
645C22×D4—82no—
646C22×D4—84no—
647C22×D4C2414yes—
648C22×D4C2414yes—
649C22×D4C2414yes—
650C22×D4C2414yes—
651C22×D4C2412yes—
652C22×D4C2412yes—
653C22×D4C2414yes—
654C22×D4C2414yes—
655C22×D4C2412yes—
656C22×D4C2412yes—
657C22×D4C2414yes—
658C22×D4C2414yes—
659C22×D4C2412yes—
660C22×D4C2414yes—
661C22×D4C2412yes—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2411yescharacteristic
665C22×D4C2412yes—
666C22×D4C2414yes—
667C22×D4C2412yes—
668C22×D4C2414yes—
669C22×D4C2412yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2411yescharacteristic
674C23×C4—44no—
675C23×C4—42no—
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2412yes—
681C23×C4C2412yes—
682C23×C4C2414yes—
683C23×C4C2411yescharacteristic
684C23×C4C2412yes—
685C23×C4C2412yes—
686C23×C4C2414yes—
687C23×C4C2414yes—
688C23×C4C2412yes—
689C23×C4C2412yes—
690C23×C4C2412yes—
691C23×C4C2414yes—
692C23×C4C2411yescharacteristic
693C4⋊Q8—48no—
694#127—48no—
695#127—48no—
696#127—82no—
697#127—82no—
698#126—48no—
699#126—48no—
700#126—48no—
701#126—84no—
702#124—48no—
703#124—48no—
704#124—48no—
705#124—48no—
706#124—48no—
707#124—82no—
708#124—82no—
709#123—216no—
710#123—216no—
711#123—48no—
712#123—48no—
713#123—48no—
714#123—48no—
715#123—48no—
716#123—82no—
717#123—82no—
718C22⋊Q8—28no—
719C22⋊Q8—216no—
720C22⋊Q8—48no—
721C22⋊Q8—48no—
722C22⋊Q8—48no—
723C22⋊Q8—44no—
724C22⋊Q8—48no—
725C22⋊Q8—44no—
726C22⋊Q8—44no—
727#121—28no—
728#121—28no—
729#121—28no—
730#121—44no—
731#121—48no—
732#121—44no—
733#121—48no—
734#121—48no—
735#121—48no—
736#121—48no—
737#121—44no—
738#121—44no—
739#121—44no—
740#121—44no—
741#121—44no—
742#121—48no—
743#121—48no—
744#121—48no—
745#121—48no—
746#121—44no—
747#121—44no—
748#121—44no—
749#121—42no—
750#121—42no—
751#121—84no—
752#121—84no—
753#120—48no—
754#120—48no—
755#120—48no—
756#120—48no—
757#120—48no—
758#120—48no—
759#120—48no—
760#120—48no—
761#120—48no—
762#120—48no—
763#120—82no—
764#120—82no—
765#120—84no—
766#120—84no—
767C4×D4—48no—
768C4×D4—48no—
769C4×D4—48no—
770C4×D4—48no—
771C4×D4—48no—
772C4×D4—84no—
773C4×D4—84no—
774#117—28no—
775#117—44no—
776#117—82no—
777C2×C4⋊C4—24no—
778C2×C4⋊C4—24no—
779C2×C4⋊C4—42no—
780C2×C4⋊C4C2414yes—
781C2×C4⋊C4C2412yes—
782C2×C4⋊C4C2412yes—
783C2×C4⋊C4C2412yes—
784C2×C4⋊C4C2412yes—
785C2×C4⋊C4C2412yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2412yes—
792C2×C4⋊C4C2412yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2411yescharacteristic
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2412yes—
799C2×C4⋊C4C2412yes—
800C2×C4⋊C4C2412yes—
801C2×C4⋊C4C2412yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2412yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2412yes—
813C2×C22⋊C4—24no—
814C2×C22⋊C4—44no—
815C2×C22⋊C4—44no—
816C2×C22⋊C4—48no—
817C2×C22⋊C4—44no—
818C2×C22⋊C4—42no—
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×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2412yes—
858C2×C22⋊C4C2412yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2412yes—
870C2×C22⋊C4C2412yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2412yes—
873C2×C22⋊C4C2412yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C42—82no—
883C2×C42C2414yes—
884C2×C42C2414yes—
885C2×C42C2412yes—
886C2×C42C2412yes—
887C2×C42C2412yes—
888C2×C42C2414yes—
889C2×C42C2414yes—
890C2×C42C2414yes—
891C2×C42C2414yes—
892C2×C42C2412yes—
893C2×C42C2412yes—
894C2×C42C2412yes—
895C2×C42C2414yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899#95C2414yes—
900#95C2412yes—
901#95C2414yes—
902#95C2412yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2412yes—
925#95C2414yes—
926#95C2412yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932C24—22no—
933C24—24no—
934C24—24no—
935C24—42no—
936C24—42no—
937C24—42no—
938C24—41no—
939C24—41no—
940C24—44no—
941C24—44no—
942C24—44no—
943C24—42no—
944C24—44no—
945C24—42no—
946C24—44no—
947C24—44no—
948C24—42no—
949C24—42no—
950C24—44no—
951C24C2514yes—
952C24C2512yes—
953C24C2514yes—
954C24C2512yes—
955C24C2511yescharacteristic
956C24C2512yes—
957#41—816no—
958#41—816no—
959C2×Q8—28no—
960C2×Q8—24no—
961C2×Q8—24no—
962C2×Q8—44no—
963C2×Q8—42no—
964C2×Q8—44no—
965C2×Q8—42no—
966C2×Q8—42no—
967C2×Q8—42no—
968C2×Q8—88no—
969C2×D4—28no—
970C2×D4—24no—
971C2×D4—28no—
972C2×D4—28no—
973C2×D4—24no—
974C2×D4—28no—
975C2×D4—28no—
976C2×D4—28no—
977C2×D4—28no—
978C2×D4—28no—
979C2×D4—24no—
980C2×D4—24no—
981C2×D4—28no—
982C2×D4—24no—
983C2×D4—28no—
984C2×D4—24no—
985C2×D4—44no—
986C2×D4—44no—
987C2×D4—44no—
988C2×D4—44no—
989C2×D4—44no—
990C2×D4—44no—
991C2×D4—44no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—44no—
997C2×D4—44no—
998C2×D4—44no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—44no—
1002C2×D4—42no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—44no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—42no—
1035C2×D4—44no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—41no—
1040C2×D4—41no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—42no—
1045C2×D4—44no—
1046C2×D4—816no—
1047C2×D4—832no—
1048C2×D4—816no—
1049C22×C4—22no—
1050C22×C4—24no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—24no—
1056C22×C4—24no—
1057C22×C4—24no—
1058C22×C4—24no—
1059C22×C4—24no—
1060C22×C4—28no—
1061C22×C4—28no—
1062C22×C4—28no—
1063C22×C4—42no—
1064C22×C4—42no—
1065C22×C4—42no—
1066C22×C4—42no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—44no—
1070C22×C4—42no—
1071C22×C4—42no—
1072C22×C4—44no—
1073C22×C4—44no—
1074C22×C4—44no—
1075C22×C4—44no—
1076C22×C4—42no—
1077C22×C4—42no—
1078C22×C4—42no—
1079C22×C4—42no—
1080C22×C4—42no—
1081C22×C4—42no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—44no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—44no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—44no—
1093C22×C4—44no—
1094C22×C4—42no—
1095C22×C4—88no—
1096C22×C4H(5,𝔽2)14yes—
1097C22×C4C2514yes—
1098C22×C4C2512yes—
1099C22×C4C2514yes—
1100C22×C4C2514yes—
1101C22×C4C2514yes—
1102C22×C4C2514yes—
1103C22×C4C2512yes—
1104C22×C4C2514yes—
1105C22×C4C2512yes—
1106C22×C4C2512yes—
1107C22×C4C2512yes—
1108C22×C4C2514yes—
1109C22×C4C2511yescharacteristic
1110C22×C4C2511yescharacteristic
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2514yes—
1114C4⋊C4—28no—
1115C4⋊C4—24no—
1116C4⋊C4—24no—
1117C4⋊C4—24no—
1118C4⋊C4—24no—
1119C4⋊C4—24no—
1120C4⋊C4—28no—
1121C4⋊C4—28no—
1122C4⋊C4—28no—
1123C4⋊C4—28no—
1124C4⋊C4—28no—
1125C4⋊C4—42no—
1126C4⋊C4—42no—
1127C4⋊C4—44no—
1128C4⋊C4—44no—
1129C4⋊C4—44no—
1130C4⋊C4—44no—
1131C4⋊C4—44no—
1132C4⋊C4—44no—
1133C4⋊C4—41no—
1134C4⋊C4—42no—
1135C4⋊C4—42no—
1136C4⋊C4—41no—
1137C4⋊C4—42no—
1138C4⋊C4—42no—
1139C4⋊C4—42no—
1140C4⋊C4—44no—
1141C4⋊C4—44no—
1142C4⋊C4—44no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4H(5,𝔽2)18yes—
1147C22⋊C4—28no—
1148C22⋊C4—28no—
1149C22⋊C4—28no—
1150C22⋊C4—28no—
1151C22⋊C4—28no—
1152C22⋊C4—28no—
1153C22⋊C4—28no—
1154C22⋊C4—28no—
1155C22⋊C4—28no—
1156C22⋊C4—28no—
1157C22⋊C4—28no—
1158C22⋊C4—28no—
1159C22⋊C4—28no—
1160C22⋊C4—28no—
1161C22⋊C4—28no—
1162C22⋊C4—44no—
1163C22⋊C4—44no—
1164C22⋊C4—44no—
1165C22⋊C4—44no—
1166C22⋊C4—44no—
1167C22⋊C4—44no—
1168C22⋊C4—44no—
1169C22⋊C4—44no—
1170C22⋊C4—44no—
1171C22⋊C4—44no—
1172C22⋊C4—44no—
1173C22⋊C4—44no—
1174C22⋊C4—44no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—42no—
1193C22⋊C4—42no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
1203C22⋊C4—44no—
1204C22⋊C4—42no—
1205C22⋊C4—42no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C42—28no—
1211C42—44no—
1212C42—42no—
1213C42—42no—
1214C42—44no—
1215C42—42no—
1216C42—42no—
1217C42—44no—
1218C42—44no—
1219C42—44no—
1220C42—42no—
1221C42—42no—
1222C42—44no—
1223C23—28no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—21no—
1231C23—21no—
1232C23—22no—
1233C23—22no—
1234C23—24no—
1235C23—24no—
1236C23—24no—
1237C23—24no—
1238C23—24no—
1239C23—24no—
1240C23—24no—
1241C23—24no—
1242C23—22no—
1243C23—22no—
1244C23—24no—
1245C23—24no—
1246C23—24no—
1247C23—24no—
1248C23—24no—
1249C23—24no—
1250C23—24no—
1251C23—22no—
1252C23—22no—
1253C23—24no—
1254C23—22no—
1255C23—24no—
1256C23—24no—
1257C23—22no—
1258C23—48no—
1259C23—82no—
1260C23—82no—
1261C23—84no—
1262C23—84no—
1263C23—84no—
1264C23—84no—
1265C23—88no—
1266C23—88no—
1267C23—88no—
1268C23—162no—
1269C23—162no—
1270C23—162no—
1271C23—162no—
1272C23—164no—
1273C23—164no—
1274C23—164no—
1275C23—164no—
1276C23C2×H(5,𝔽2)12yes—
1277C23#58514yes—
1278C23C2611yescharacteristic
1279Q8—88no—
1280Q8—84no—
1281Q8—84no—
1282D4—416no—
1283D4—88no—
1284D4—84no—
1285D4—84no—
1286D4—88no—
1287D4—84no—
1288D4—84no—
1289D4—88no—
1290D4—88no—
1291D4—88no—
1292D4—88no—
1293D4—88no—
1294D4—88no—
1295D4—84no—
1296D4—84no—
1297D4—88no—
1298D4—88no—
1299D4—88no—
1300D4—88no—
1301D4—164no—
1302D4—161no—
1303D4—161no—
1304D4—164no—
1305D4—162no—
1306D4—162no—
1307D4—162no—
1308D4—164no—
1309C2×C4—28no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—24no—
1313C2×C4—24no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—24no—
1317C2×C4—24no—
1318C2×C4—24no—
1319C2×C4—22no—
1320C2×C4—24no—
1321C2×C4—24no—
1322C2×C4—24no—
1323C2×C4—24no—
1324C2×C4—24no—
1325C2×C4—24no—
1326C2×C4—24no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—24no—
1336C2×C4—24no—
1337C2×C4—24no—
1338C2×C4—24no—
1339C2×C4—24no—
1340C2×C4—24no—
1341C2×C4—24no—
1342C2×C4—24no—
1343C2×C4—24no—
1344C2×C4—22no—
1345C2×C4—24no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—24no—
1349C2×C4—24no—
1350C2×C4—22no—
1351C2×C4—24no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—44no—
1355C2×C4—48no—
1356C2×C4—48no—
1357C2×C4—88no—
1358C2×C4—84no—
1359C2×C4—84no—
1360C2×C4—88no—
1361C2×C4—88no—
1362C2×C4—82no—
1363C2×C4—82no—
1364C2×C4—84no—
1365C2×C4—82no—
1366C2×C4—82no—
1367C2×C4—162no—
1368C2×C4—162no—
1369C2×C4—164no—
1370C2×C4C2×H(5,𝔽2)18yes—
1371C2×C4C2×H(5,𝔽2)14yes—
1372C2×C4C2×H(5,𝔽2)14yes—
1373C22—24no—
1374C22—22no—
1375C22—22no—
1376C22—22no—
1377C22—24no—
1378C22—24no—
1379C22—42no—
1380C22—42no—
1381C22—42no—
1382C22—42no—
1383C22—42no—
1384C22—42no—
1385C22—44no—
1386C22—42no—
1387C22—44no—
1388C22—42no—
1389C22—44no—
1390C22—42no—
1391C22—44no—
1392C22—42no—
1393C22—42no—
1394C22—42no—
1395C22—44no—
1396C22—44no—
1397C22—44no—
1398C22—44no—
1399C22—44no—
1400C22—44no—
1401C22—44no—
1402C22—44no—
1403C22—44no—
1404C22—44no—
1405C22—44no—
1406C22—44no—
1407C22—44no—
1408C22—44no—
1409C22—88no—
1410C22—168no—
1411C22—1616no—
1412C22C22×H(5,𝔽2)11yescharacteristic
1413C22C22×H(5,𝔽2)12yes—
1414C22C2×#58512yes—
1415C22H(7,𝔽2)11yescharacteristic
1416C22H(7,𝔽2)11yescharacteristic
1417C4—24no—
1418C4—24no—
1419C4—28no—
1420C4—44no—
1421C4—41no—
1422C4—41no—
1423C4—44no—
1424C4—42no—
1425C4—42no—
1426C4—42no—
1427C4—42no—
1428C4—42no—
1429C4—44no—
1430C4—44no—
1431C4—44no—
1432C4—44no—
1433C4—44no—
1434C2—42no—
1435C2—44no—
1436C2—82no—
1437C2—84no—
1438C2—84no—
1439C2—82no—
1440C2#6282411yescharacteristic
1441C2#6283211yescharacteristic
1442C2#6286211yescharacteristic
1443C2#6289912yes—
1444C2#6291812yes—
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. #57954C2semidirect
2. #54868C2semidirect
3. #54851C2semidirect
4. #53489C2semidirect
5. #49254C2semidirect
6. #48685C2semidirect
7. #48143C2semidirect
8. #47438C2semidirect
9. #46856C2semidirect
10. #46430C2semidirect
11. #46428C2semidirect
12. #46364C2semidirect
13. #46355C2semidirect
14. #40361C2semidirect
15. #39401C2semidirect
16. #37769C2semidirect
17. #37744C2semidirect
18. #37300C2semidirect
19. #36707C2semidirect
20. #35634C2semidirect
21. #35430C2semidirect
22. #35422C2semidirect
23. #35377C2semidirect
24. C2×#538C22semidirect
25. C2×#538C22semidirect
26. C2×#537C22semidirect
27. C2×#537C22semidirect
28. C2×#536C22semidirect
29. C2×#535C22semidirect
31. C2×#534C22semidirect
32. C2×#525C22semidirect
33. C22×C22⋊Q8C22semidirect
34. #2856C22semidirect
35. #2850C22semidirect
37. #2847C22semidirect
38. #2837C22semidirect
39. #2828C22semidirect
40. #2823C22semidirect
41. #2816C22semidirect
43. #2813C22semidirect
44. #2795C22semidirect
45. #2795C22semidirect
46. #2794C22semidirect
47. #2793C22semidirect
48. #2773C22semidirect
49. #2752C22semidirect
50. #2748C22semidirect
51. #2743C22semidirect
52. #2741C22semidirect
53. #2730C22semidirect
54. #2730C22semidirect
55. #2730C22semidirect
56. #2730C22semidirect
57. #2730C22semidirect
58. #2716C22semidirect
59. #2716C22semidirect
61. #2714C22semidirect
62. #2705C22semidirect
63. #2705C22semidirect
64. #2700C22semidirect
65. #2699C22semidirect
66. #2699C22semidirect
67. #2699C22semidirect
68. #2696C22semidirect
69. #2696C22semidirect
70. #2696C22semidirect
71. #2693C22semidirect
72. #2692C22semidirect
73. #2692C22semidirect
74. #2688C22semidirect
75. #2685C22semidirect
76. #2685C22semidirect
77. #2685C22semidirect
78. #2685C22semidirect
79. #2685C22semidirect
80. #2679C22semidirect
81. #2678C22semidirect
82. #2678C22semidirect
83. #2678C22semidirect
84. #2678C22semidirect
85. #2678C22semidirect
86. #2676C22semidirect
87. #2676C22semidirect
88. #2676C22semidirect
89. #2673C22semidirect
90. #2673C22semidirect
91. #2673C22semidirect
92. #2673C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
96. #2670C22semidirect
97. #2670C22semidirect
98. #2669C22semidirect
99. #2669C22semidirect
100. #2668C22semidirect
101. #2668C22semidirect
102. #2668C22semidirect
103. #2668C22semidirect
104. #2656C22semidirect
105. #2651C22semidirect
106. #2639C22semidirect
107. #2635C22semidirect
108. #2635C22semidirect
109. #2635C22semidirect
110. #2626C22semidirect
111. #2620C22semidirect
112. #2619C22semidirect
113. #2618C22semidirect
114. #2618C22semidirect
115. #2617C22semidirect
116. #2608C22semidirect
117. #2602C22semidirect
118. #2597C22semidirect
119. #2593C22semidirect
120. #2591C22semidirect
121. #2591C22semidirect
122. #2589C22semidirect
123. #2588C22semidirect
124. #2575C22semidirect
125. #2561C22semidirect
126. #2559C22semidirect
127. #2557C22semidirect
128. #2555C22semidirect
129. #2554C22semidirect
130. #2554C22semidirect
131. #2554C22semidirect
132. #2542C22semidirect
133. #2542C22semidirect
134. #2540C22semidirect
135. #2540C22semidirect
136. #2539C22semidirect
137. #2539C22semidirect
138. #2539C22semidirect
139. #2537C22semidirect
140. #2521C22semidirect
141. #2516C22semidirect
142. #2516C22semidirect
143. #2516C22semidirect
144. #2512C22semidirect
145. #2504C22semidirect
146. #2501C22semidirect
147. #2501C22semidirect
148. #2500C22semidirect
149. #2499C22semidirect
150. #2496C22semidirect
151. #2491C22semidirect
152. #2491C22semidirect
153. #2488C22semidirect
154. #2488C22semidirect
155. #2479C22semidirect
156. #2477C22semidirect
157. #2476C22semidirect
158. #2472C22semidirect
159. #2472C22semidirect
160. #2472C22semidirect
161. #2471C22semidirect
162. #2471C22semidirect
163. #2471C22semidirect
164. #2467C22semidirect
165. #2467C22semidirect
166. #2467C22semidirect
167. #2459C22semidirect
168. #2459C22semidirect
169. #2459C22semidirect
170. #2457C22semidirect
171. #2457C22semidirect
172. #2457C22semidirect
173. #2457C22semidirect
174. #2456C22semidirect
175. #2445C22semidirect
176. #2444C22semidirect
177. #2436C22semidirect
178. #2436C22semidirect
179. #2435C22semidirect
181. #2433C22semidirect
182. #2433C22semidirect
184. #2431C22semidirect
185. #2431C22semidirect
186. #2428C22semidirect
187. #2428C22semidirect
189. #2424C22semidirect
190. #2424C22semidirect
191. #2424C22semidirect
192. #2410C22semidirect
193. #2408C22semidirect
194. #2408C22semidirect
195. #2406C22semidirect
196. #2404C22semidirect
197. #2404C22semidirect
198. #2403C22semidirect
199. #2403C22semidirect
200. #2375C22semidirect
201. #2366C22semidirect
202. #2364C22semidirect
203. D4×C22⋊C4C22semidirect
204. #2335C22semidirect
205. #2333C22semidirect
206. #2333C22semidirect
207. #2333C22semidirect
208. #2332C22semidirect
209. #2329C22semidirect
210. #2325C22semidirect
211. #2313C22semidirect
212. #2308C22semidirect
213. C4×#123C22semidirect
214. C4×#121C22semidirect
215. #2297C22semidirect
216. C2×#386C22semidirect
217. #2274C22semidirect
218. #2273C22semidirect

Maximal subgroups

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

subgroupindex
#579542
#548682
#548512
#534892
#492542
#486852
#481432
#474382
#468562
#464302
#464282
#463642
#463552
#403612
#394012
#377692
#377442
#373002
#367072
#356342
#354302
#354222
#353772