Finite Group Databasebeta

← #7683611

Subgroups — #7683611

Order 512.

5280 conjugacy classes of subgroups.

The subgroup lattice has 1572 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60029C212yesmaximal, complemented
2#59975C212yesmaximal, complemented
3#59926C212yesmaximal, complemented
4#59918C212yesmaximal, complemented
5#59903C212yesmaximal, complemented
6#59779C214yesmaximal, complemented
7#59755C212yesmaximal, complemented
8#59744C212yesmaximal, complemented
9#59698C214yesmaximal, complemented
10#59676C212yesmaximal, complemented
11#45314C212yesmaximal, complemented
12#45308C211yesmaximal, characteristic, complemented
13#45258C212yesmaximal, complemented
14#45244C211yesmaximal, characteristic, complemented
15#45047C211yesmaximal, characteristic, complemented
16#44914C211yesmaximal, characteristic, complemented
17#44836C212yesmaximal, complemented
18#44834C212yesmaximal, complemented
19#44815C214yesmaximal, complemented
20#44325C212yesmaximal, complemented
21#44306C212yesmaximal, complemented
22#44203C214yesmaximal, complemented
23#35600C212yesmaximal, complemented
24#35589C212yesmaximal, complemented
25#35586C212yesmaximal, complemented
26#34977C211yesmaximal, characteristic, complemented
27#34952C211yesmaximal, characteristic, complemented
28#34909C211yesmaximal, characteristic, complemented
29#34307C212yesmaximal, complemented
30#34294C212yesmaximal, complemented
31#34267C212yesmaximal, complemented
32C2×#556C2212yes—
33C2×#548C2212yes—
34C2×#537C2212yes—
35C2×#532C2211yescharacteristic
36C2×#520C2212yes—
37C2×C4×#41C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39C22×C4×Q8C2211yescharacteristic
40#2806C2214yes—
41#2804C2212yes—
42#2803C2214yes—
43#2801C2214yes—
44#2800C2214yes—
45#2792C2214yes—
46#2789C2212yes—
47#2782C2212yes—
48#2763C2212yes—
49#2759C2214yes—
50#2757C2214yes—
51#2757C2214yes—
52#2756C2214yes—
53#2742C2212yes—
54#2730C2214yes—
55#2723C2214yes—
56#2718C2214yes—
57#2714C2214yes—
58#2712C2214yes—
59#2712C2212yes—
60#2710C2214yes—
61#2702C2214yes—
62#2691C2214yes—
63#2691C2214yes—
64#2683C2212yes—
65#2676C2214yes—
66#2676C2214yes—
67#2675C2212yes—
68#2612C2212yes—
69#2612C2212yes—
70#2610C2212yes—
71#2610C2212yes—
72#2603C2214yes—
73#2603C2214yes—
74#2602C2214yes—
75#2602C2214yes—
76#2600C2214yes—
77#2600C2212yes—
78#2600C2212yes—
79#2599C2211yescharacteristic
80#2599C2211yescharacteristic
81#2598C2211yescharacteristic
82#2598C2211yescharacteristic
83#2594C2214yes—
84#2593C2212yes—
85#2587C2214yes—
86#2587C2214yes—
87#2586C2214yes—
88#2583C2214yes—
89#2582C2212yes—
90#2581C2211yescharacteristic
91#2581C2212yes—
92#2580C2211yescharacteristic
93#2580C2212yes—
94#2579C2214yes—
95#2579C2212yes—
96#2579C2212yes—
97#2576C2214yes—
98#2575C2214yes—
99#2574C2214yes—
100#2574C2214yes—
101#2567C2211yescharacteristic
102#2563C2211yescharacteristic
103#2560C2214yes—
104#2560C2214yes—
105#2559C2214yes—
106#2555C2212yes—
107#2555C2214yes—
108#2555C2214yes—
109#2554C2214yes—
110#2553C2214yes—
111#2549C2214yes—
112#2548C2211yescharacteristic
113#2544C2214yes—
114#2543C2214yes—
115#2541C2211yescharacteristic
116#2538C2212yes—
117#2536C2211yescharacteristic
118#2535C2211yescharacteristic
119#2532C2214yes—
120#2531C2214yes—
121#2531C2214yes—
122#2531C2214yes—
123#2525C2214yes—
124#2525C2214yes—
125#2523C2212yes—
126#2521C2214yes—
127#2521C2214yes—
128#2518C2214yes—
129#2513C2212yes—
130#2512C2212yes—
131#2512C2214yes—
132#2510C2214yes—
133#2507C2212yes—
134#2507C2212yes—
135#2507C2214yes—
136#2502C2214yes—
137#2500C2212yes—
138#2500C2212yes—
139#2496C2212yes—
140#2494C2212yes—
141#2491C2212yes—
142#2491C2212yes—
143#2487C2211yescharacteristic
144#2487C2211yescharacteristic
145#2485C2212yes—
146#2485C2212yes—
147#2476C2214yes—
148#2476C2214yes—
149#2474C2214yes—
150#2474C2214yes—
151#2468C2214yes—
152#2468C2214yes—
153#2467C2214yes—
154#2465C2214yes—
155#2465C2214yes—
156#2464C2214yes—
157#2463C2212yes—
158#2463C2212yes—
159#2461C2214yes—
160#2455C2212yes—
161#2451C2212yes—
162#2451C2212yes—
163#2448C2212yes—
164#2447C2214yes—
165#2445C2212yes—
166#2443C2214yes—
167#2440C2212yes—
168#2440C2212yes—
169#2431C2212yes—
170#2431C2212yes—
171#2428C2214yes—
172#2427C2214yes—
173#2426C2212yes—
174#2426C2212yes—
175#2426C2214yes—
176#2422C2212yes—
177#2421C2212yes—
178#2416C2212yes—
179#2416C2212yes—
180#2414C2212yes—
181#2414C2212yes—
182#2409C2211yescharacteristic
183#2409C2211yescharacteristic
184#2407C2214yes—
185#2407C2212yes—
186#2407C2212yes—
187#2406C2214yes—
188#2396C2212yes—
189#2396C2212yes—
190#2395C2211yescharacteristic
191#2395C2211yescharacteristic
192#2388C2212yes—
193#2388C2211yescharacteristic
194#2388C2211yescharacteristic
195#2388C2212yes—
196#2373C2214yes—
197#2373C2214yes—
198#2372C2214yes—
199#2372C2214yes—
200#2369C2212yes—
201#2368C2214yes—
202#2367C2212yes—
203#2367C2214yes—
204#2367C2214yes—
205#2364C2214yes—
206#2364C2214yes—
207#2363C2214yes—
208#2362C2212yes—
209#2362C2214yes—
210#2361C2214yes—
211#2361C2212yes—
212#2361C2214yes—
213#2361C2214yes—
214#2361C2214yes—
215#2361C2214yes—
216#2360C2212yes—
217#2360C2212yes—
218#2360C2214yes—
219#2360C2214yes—
220#2356C2214yes—
221#2356C2212yes—
222#2352C2212yes—
223Q8×C4⋊C4C2212yes—
224D4×C4⋊C4C2214yes—
225D4×C4⋊C4C2212yes—
226#2347C2212yes—
227#2346C2212yes—
228#2341C2212yes—
229Q8×C22⋊C4C2212yes—
230#2337C2214yes—
231#2334C2214yes—
232#2331C2212yes—
233#2326C2212yes—
234#2326C2214yes—
235#2324C2212yes—
236#2324C2212yes—
237#2323C2212yes—
238#2323C2212yes—
239#2323C2214yes—
240#2319C2212yes—
241#2311C2212yes—
242C4×#127C2212yes—
243C4×#126C2214yes—
244C4×#124C2212yes—
245C4×C22⋊Q8C2212yes—
246C4×C22⋊Q8C2212yes—
247C4×C22⋊Q8C2212yes—
248C4×C22⋊Q8C2212yes—
249C4×#121C2212yes—
250C4×#121C2212yes—
251C4×#121C2212yes—
252C4×#121C2212yes—
253C4×#121C2214yes—
254#2297C2212yes—
255#2297C2212yes—
256#2296C2212yes—
257#2295C2214yes—
258C2×#389C2212yes—
259#2290C2212yes—
260#2290C2212yes—
261#2290C2214yes—
262#2285C2211yescharacteristic
263#2283C2211yescharacteristic
264#2276C2212yes—
265#2274C2212yes—
266C4×#117C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C22×#41C2311yescharacteristic
270C22×#41C2312yes—
271C23×Q8C2311yescharacteristic
272#556—216no—
273#548—216no—
274#537—216no—
275#532—44no—
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2311yescharacteristic
278C2×#127C2312yes—
279C2×#127C2311yescharacteristic
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#126C2314yes—
283C2×#126C2314yes—
284C2×#124C2314yes—
285C2×#124C2312yes—
286C2×#124C2314yes—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2314yes—
304C2×#121C2314yes—
305C2×#121C2314yes—
306C2×#121C2312yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313#520—48no—
314C4×#41—44no—
315C4×#41—44no—
316C2×C4×Q8—44no—
317C2×C4×Q8C2312yes—
318C2×C4×Q8C2312yes—
319C2×C4×Q8C2312yes—
320C2×C4×Q8C2314yes—
321C2×C4×Q8C2311yescharacteristic
322C2×C4×Q8C2312yes—
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2311yescharacteristic
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2311yescharacteristic
329C2×C4×D4C2312yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2312yes—
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2312yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2314yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2314yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2311yescharacteristic
356C2×#117C2314yes—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2314yes—
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2314yes—
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370C22×C42C2312yes—
371C22×C42C2312yes—
372#401C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2311yescharacteristic
376#400C2312yes—
377#400C2312yes—
378#400C2311yescharacteristic
379#399C2314yes—
380#399C2311yescharacteristic
381#399C2311yescharacteristic
382#399C2312yes—
383#399C2312yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2311yescharacteristic
394#398C2314yes—
395#398C2311yescharacteristic
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2311yescharacteristic
401#397C2311yescharacteristic
402#397C2312yes—
403#397C2312yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#395C2312yes—
417#395C2312yes—
418#395C2314yes—
419#395C2314yes—
420#395C2311yescharacteristic
421#395C2311yescharacteristic
422#395C2312yes—
423#395C2312yes—
424#395C2314yes—
425#395C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2311yescharacteristic
431#394C2311yescharacteristic
432#394C2312yes—
433#394C2312yes—
434#394C2312yes—
435#394C2312yes—
436#394C2314yes—
437#394C2312yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2312yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#393C2312yes—
450#393C2314yes—
451#393C2312yes—
452#393C2312yes—
453#393C2314yes—
454#393C2311yescharacteristic
455#393C2311yescharacteristic
456#393C2312yes—
457#392C2311yescharacteristic
458#392C2311yescharacteristic
459#392C2312yes—
460#392C2314yes—
461#392C2312yes—
462#392C2314yes—
463#392C2314yes—
464#392C2312yes—
465#392C2312yes—
466#392C2314yes—
467#392C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2312yes—
472#391C2314yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#390C2314yes—
485#390C2314yes—
486#390C2312yes—
487#390C2312yes—
488#390C2314yes—
489#390C2314yes—
490#390C2314yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2314yes—
495#390C2312yes—
496#390C2314yes—
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2312yes—
502#390C2312yes—
503#390C2314yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#388C2312yes—
531#388C2314yes—
532#388C2314yes—
533#388C2312yes—
534#388C2312yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2312yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2312yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2312yes—
608#386C2312yes—
609#386C2314yes—
610#386C2314yes—
611#386C2312yes—
612#386C2312yes—
613#386C2314yes—
614#386C2312yes—
615#386C2314yes—
616#386C2312yes—
617#386C2312yes—
618#386C2312yes—
619#386C2312yes—
620#386C2312yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2312yes—
637#385C2312yes—
638#385C2314yes—
639#385C2312yes—
640#385C2312yes—
641#385C2314yes—
642#385C2312yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#384C2312yes—
657#384C2312yes—
658#384C2314yes—
659#384C2312yes—
660#383C2314yes—
661#383C2314yes—
662#383C2311yescharacteristic
663#383C2311yescharacteristic
664#382C2312yes—
665#382C2311yescharacteristic
666#382C2312yes—
667#382C2311yescharacteristic
668#382C2312yes—
669#382C2314yes—
670#381C2314yes—
671#381C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2314yes—
678#380C2314yes—
679#380C2312yes—
680#380C2314yes—
681#380C2312yes—
682#380C2312yes—
683#380C2311yescharacteristic
684#380C2311yescharacteristic
685#380C2312yes—
686#380C2312yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2311yescharacteristic
693C4×C4⋊C4C2311yescharacteristic
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2311yescharacteristic
734C4×C22⋊C4C2311yescharacteristic
735#376C2312yes—
736#376C2314yes—
737#376C2314yes—
738#376C2314yes—
739#376C2312yes—
740C2×#95C2314yes—
741C43C2312yes—
742C2×#41—28no—
743C2×#41—24no—
744C2×#41—28no—
745C2×#41—28no—
746C2×#41—42no—
747C2×#41—42no—
748C2×#41—44no—
749C2×#41—42no—
750C2×#41—44no—
751C2×#41—84no—
752C22×Q8—28no—
753C22×Q8—42no—
754C22×Q8C2411yescharacteristic
755C22×Q8C2412yes—
756C22×Q8C2412yes—
757C22×Q8C2414yes—
758C22×Q8C2412yes—
759C22×Q8C2411yescharacteristic
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2411yescharacteristic
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2411yescharacteristic
767C22×D4C2411yescharacteristic
768C22×D4C2411yescharacteristic
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2414yes—
780C23×C4C2412yes—
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2412yes—
784C23×C4C2411yescharacteristic
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2411yescharacteristic
788C23×C4C2412yes—
789C23×C4C2411yescharacteristic
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2414yes—
793C23×C4C2414yes—
794C4⋊Q8—28no—
795C4⋊Q8—42no—
796#127—42no—
797#127—44no—
798#126—216no—
799#126—216no—
800#126—84no—
801#126—84no—
802#124—28no—
803#124—28no—
804#124—216no—
805#124—216no—
806#124—44no—
807#124—48no—
808#124—84no—
809#123—84no—
810#123—84no—
811C22⋊Q8—28no—
812C22⋊Q8—28no—
813C22⋊Q8—28no—
814C22⋊Q8—216no—
815C22⋊Q8—216no—
816C22⋊Q8—84no—
817C22⋊Q8—84no—
818C22⋊Q8#41116yescomplemented
819#121—28no—
820#121—28no—
821#121—216no—
822#121—28no—
823#121—216no—
824#121—216no—
825#121—216no—
826#121—44no—
827#121—48no—
828#121—44no—
829#121—44no—
830#121—84no—
831C4×Q8—28no—
832C4×Q8—28no—
833C4×Q8—216no—
834C4×Q8—28no—
835C4×Q8—44no—
836C4×Q8—42no—
837C4×Q8—42no—
838C4×Q8—44no—
839C4×Q8—42no—
840C4×Q8—42no—
841C4×Q8—44no—
842C4×Q8—44no—
843C4×D4—28no—
844C4×D4—28no—
845C4×D4—216no—
846C4×D4—28no—
847C4×D4—42no—
848C4×D4—42no—
849C4×D4—48no—
850C4×D4—44no—
851C4×D4—42no—
852C4×D4—42no—
853C4×D4—42no—
854C4×D4—42no—
855C4×D4—42no—
856C4×D4—42no—
857C4×D4—44no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—48no—
861C4×D4—84no—
862C4×D4—84no—
863C4×D4—84no—
864C4×D4—84no—
865C4×D4—84no—
866#117—28no—
867#117—28no—
868#117—28no—
869#117—42no—
870#117—42no—
871#117—42no—
872#117—42no—
873#117—48no—
874#117—44no—
875C2×C4⋊C4—28no—
876C2×C4⋊C4—42no—
877C2×C4⋊C4—44no—
878C2×C4⋊C4—48no—
879C2×C4⋊C4—44no—
880C2×C4⋊C4—84no—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2411yescharacteristic
956C2×C22⋊C4C2411yescharacteristic
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2411yescharacteristic
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2411yescharacteristic
962C2×C22⋊C4C2411yescharacteristic
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C42—24no—
989C2×C42—24no—
990C2×C42—24no—
991C2×C42—44no—
992C2×C42—44no—
993C2×C42C2412yes—
994C2×C42C2411yescharacteristic
995C2×C42C2411yescharacteristic
996C2×C42C2411yescharacteristic
997C2×C42C2414yes—
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2414yes—
1010C2×C42C2412yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081C24C2511yescharacteristic
1082C24C2514yes—
1083C24C2511yescharacteristic
1084C24C2512yes—
1085C24C2511yescharacteristic
1086#41—416no—
1087#41—432no—
1088#41—416no—
1089#41—816no—
1090C2×Q8—24no—
1091C2×Q8—24no—
1092C2×Q8—28no—
1093C2×Q8—28no—
1094C2×Q8—24no—
1095C2×Q8—42no—
1096C2×Q8—41no—
1097C2×Q8—41no—
1098C2×Q8—41no—
1099C2×Q8—44no—
1100C2×Q8—44no—
1101C2×Q8—42no—
1102C2×Q8—44no—
1103C2×Q8—416no—
1104C2×Q8C2×#4118yes—
1105C2×Q82−1+414yes—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—24no—
1109C2×D4—28no—
1110C2×D4—24no—
1111C2×D4—22no—
1112C2×D4—28no—
1113C2×D4—22no—
1114C2×D4—24no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—24no—
1118C2×D4—28no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—28no—
1122C2×D4—24no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—22no—
1126C2×D4—24no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—44no—
1131C2×D4—42no—
1132C2×D4—41no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—41no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C2×D4—42no—
1149C22×C4—22no—
1150C22×C4—24no—
1151C22×C4—22no—
1152C22×C4—24no—
1153C22×C4—22no—
1154C22×C4—24no—
1155C22×C4—28no—
1156C22×C4—24no—
1157C22×C4—28no—
1158C22×C4—28no—
1159C22×C4—24no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—28no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—28no—
1172C22×C4—24no—
1173C22×C4—42no—
1174C22×C4—44no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—44no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—44no—
1186C22×C4—42no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—42no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4C2×#4118yes—
1198C22×C4C2512yes—
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2514yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C4⋊C4—28no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4C2×#4118yes—
1274C4⋊C4C2×#41116yes—
1275C22⋊C4—28no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—24no—
1279C22⋊C4—24no—
1280C22⋊C4—24no—
1281C22⋊C4—28no—
1282C22⋊C4—24no—
1283C22⋊C4—28no—
1284C22⋊C4—24no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—24no—
1292C22⋊C4—24no—
1293C22⋊C4—28no—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4C2×#41116yes—
1331C42—28no—
1332C42—28no—
1333C42—28no—
1334C42—24no—
1335C42—24no—
1336C42—28no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—24no—
1347C42—28no—
1348C42—24no—
1349C42—42no—
1350C42—42no—
1351C42—44no—
1352C42—44no—
1353C42—44no—
1354C42—44no—
1355C42—44no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42—42no—
1360C42H(5,𝔽2)14yes—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—21no—
1365C23—22no—
1366C23—21no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—24no—
1373C23—22no—
1374C23—24no—
1375C23—24no—
1376C23—21no—
1377C23—21no—
1378C23—24no—
1379C23—21no—
1380C23—21no—
1381C23—24no—
1382C23—21no—
1383C23—21no—
1384C23—22no—
1385C23—24no—
1386C23—24no—
1387C23—22no—
1388C23C22×#4114yes—
1389C23#58512yes—
1390C23C2611yescharacteristic
1391Q8—216no—
1392Q8—44no—
1393Q8—48no—
1394Q8—44no—
1395Q8—88no—
1396Q8—84no—
1397D4—416no—
1398D4—44no—
1399D4—44no—
1400D4—48no—
1401D4—416no—
1402D4—44no—
1403D4—48no—
1404D4—44no—
1405D4—48no—
1406D4—88no—
1407D4—84no—
1408D4—88no—
1409D4—84no—
1410D4—84no—
1411D4—88no—
1412C2×C4—28no—
1413C2×C4—24no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—24no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—216no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—48no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—416no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—88no—
1483C2×C4—84no—
1484C2×C4—82no—
1485C2×C4—82no—
1486C2×C4—88no—
1487C2×C4—84no—
1488C2×C4—84no—
1489C2×C4—164no—
1490C2×C4—164no—
1491C2×C4C22×#4114yes—
1492C2×C4C22×#4118yes—
1493C2×C4C22×#4118yes—
1494C2×C4C22×#4114yes—
1495C2×C4C2×H(5,𝔽2)12yes—
1496C2×C4C2×H(5,𝔽2)12yes—
1497C2×C4C2×H(5,𝔽2)12yes—
1498C2×C4C2×2−1+412yes—
1499C2×C4C2×2−1+412yes—
1500C2×C4C2×2−1+412yes—
1501C22—24no—
1502C22—24no—
1503C22—24no—
1504C22—22no—
1505C22—24no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—41no—
1511C22—42no—
1512C22—41no—
1513C22—42no—
1514C22—44no—
1515C22—44no—
1516C22—42no—
1517C22—44no—
1518C22—42no—
1519C22—44no—
1520C22—42no—
1521C22—41no—
1522C22—41no—
1523C22—44no—
1524C22—41no—
1525C22—44no—
1526C22—41no—
1527C22—44no—
1528C22—41no—
1529C22—41no—
1530C22C23×#4112yes—
1531C22C22×H(5,𝔽2)11yescharacteristic
1532C22C22×2−1+411yescharacteristic
1533C22C2×#58511yescharacteristic
1534C22H(7,𝔽2)12yes—
1535C4—28no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—24no—
1542C4—28no—
1543C4—42no—
1544C4—44no—
1545C4—42no—
1546C4—44no—
1547C4—42no—
1548C4—42no—
1549C4—44no—
1550C4—42no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—42no—
1555C4—44no—
1556C4—44no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4#348114yes—
1561C2—44no—
1562C2—42no—
1563C2—84no—
1564C2—81no—
1565C2—81no—
1566C2C2×#348111yescharacteristic
1567C2#6281911yescharacteristic
1568C2#6287411yescharacteristic
1569C2#6299912yes—
1570C2#6300812yes—
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. #60029C2semidirect
2. #59975C2semidirect
3. #59926C2semidirect
4. #59918C2semidirect
5. #59903C2semidirect
6. #59779C2semidirect
7. #59755C2semidirect
8. #59744C2semidirect
9. #59698C2semidirect
10. #59676C2semidirect
11. #45314C2semidirect
12. #45308C2semidirect
13. #45258C2semidirect
14. #45244C2semidirect
15. #45047C2semidirect
16. #44914C2semidirect
17. #44836C2semidirect
18. #44834C2semidirect
19. #44815C2semidirect
20. #44325C2semidirect
21. #44306C2semidirect
22. #44203C2semidirect
23. #35600C2semidirect
24. #35589C2semidirect
25. #35586C2semidirect
26. #34977C2semidirect
27. #34952C2semidirect
28. #34909C2semidirect
29. #34307C2semidirect
30. #34294C2semidirect
31. #34267C2semidirect
818. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600292
#599752
#599262
#599182
#599032
#597792
#597552
#597442
#596982
#596762
#453142
#453082
#452582
#452442
#450472
#449142
#448362
#448342
#448152
#443252
#443062
#442032
#356002
#355892
#355862
#349772
#349522
#349092
#343072
#342942
#342672