Finite Group Databasebeta

← #7726976

Subgroups — #7726976

Order 512.

4574 conjugacy classes of subgroups.

The subgroup lattice has 1518 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#49598C212yesmaximal, complemented
2#49597C212yesmaximal, complemented
3#47888C212yesmaximal, complemented
4#47887C212yesmaximal, complemented
5#46469C214yesmaximal, complemented
6#46404C214yesmaximal, complemented
7#45208C212yesmaximal, complemented
8#45206C212yesmaximal, complemented
9#45066C212yesmaximal, complemented
10#45037C212yesmaximal, complemented
11#40282C214yesmaximal, complemented
12#40267C214yesmaximal, complemented
13#39934C212yesmaximal, complemented
14#39933C212yesmaximal, complemented
15#39552C212yesmaximal, complemented
16#39544C212yesmaximal, complemented
17#39515C212yesmaximal, complemented
18#39500C212yesmaximal, complemented
19#37621C211yesmaximal, characteristic, complemented
20#37025C212yesmaximal, complemented
21#37022C212yesmaximal, complemented
22#36494C212yesmaximal, complemented
23#36461C212yesmaximal, complemented
24#35485C212yesmaximal, complemented
25#35470C212yesmaximal, complemented
26#35301C211yesmaximal, characteristic, complemented
27#35192C211yesmaximal, characteristic, complemented
28#34877C211yesmaximal, characteristic, complemented
29#34385C211yesmaximal, characteristic, complemented
30#34226C211yesmaximal, characteristic, complemented
31#34048C211yesmaximal, characteristic, complemented
32C2×#532C2211yescharacteristic
33C2×#529C2211yescharacteristic
34C22×#117C2211yescharacteristic
35#2865C2214yescomplemented
36#2864C2212yescomplemented
37#2862C2212yescomplemented
38#2861C2214yescomplemented
39#2854C2212yes—
40#2847C2212yes—
41#2813C2214yes—
42#2808C2214yescomplemented
43#2808C2214yescomplemented
44#2803C2214yes—
45#2803C2214yes—
46#2800C2214yes—
47#2800C2214yescomplemented
48#2798C2214yes—
49#2798C2214yescomplemented
50#2797C2214yescomplemented
51#2776C2214yescomplemented
52#2775C2214yes—
53#2765C2214yescomplemented
54#2761C2214yes—
55#2761C2214yes—
56#2760C2214yes—
57#2759C2214yes—
58#2759C2214yescomplemented
59#2757C2214yescomplemented
60#2753C2214yes—
61#2751C2214yes—
62#2749C2214yes—
63#2747C2214yescomplemented
64#2745C2214yescomplemented
65#2745C2214yescomplemented
66#2741C2214yes—
67#2737C2214yes—
68#2733C2214yes—
69#2733C2214yes—
70#2731C2214yescomplemented
71#2716C2214yescomplemented
72#2714C2214yes—
73#2703C2214yes—
74#2700C2214yes—
75#2697C2214yes—
76#2694C2214yes—
77#2690C2214yescomplemented
78#2686C2214yescomplemented
79#2684C2214yes—
80#2678C2214yes—
81#2670C2214yes—
82#2665C2212yes—
83#2665C2212yes—
84#2662C2214yescomplemented
85#2653C2214yes—
86#2648C2214yes—
87#2628C2211yescharacteristic
88#2628C2211yescharacteristic
89#2628C2212yescomplemented
90#2619C2211yescharacteristic
91#2619C2211yescharacteristic
92#2619C2212yescomplemented
93#2616C2212yes—
94#2615C2212yes—
95#2611C2211yescharacteristic
96#2611C2211yescharacteristic
97#2610C2211yescharacteristic
98#2610C2211yescharacteristic
99#2610C2212yes—
100#2610C2212yes—
101#2605C2212yescomplemented
102#2605C2212yescomplemented
103#2602C2214yes—
104#2602C2214yes—
105#2601C2212yes—
106#2601C2212yes—
107#2600C2214yescomplemented
108#2598C2212yes—
109#2598C2212yes—
110#2596C2214yes—
111#2595C2214yes—
112#2594C2214yescomplemented
113#2592C2214yes—
114#2591C2211yescharacteristic
115#2591C2212yes—
116#2583C2211yescharacteristic
117#2581C2214yescomplemented
118#2576C2214yes—
119#2576C2214yes—
120#2576C2214yescomplemented
121#2575C2214yescomplemented
122#2574C2214yescomplemented
123#2572C2214yes—
124#2571C2212yescomplemented
125#2563C2212yes—
126#2562C2212yescomplemented
127#2561C2211yescharacteristic
128#2558C2214yes—
129#2558C2214yes—
130#2557C2214yes—
131#2557C2214yes—
132#2557C2214yes—
133#2557C2214yes—
134#2555C2214yes—
135#2554C2214yes—
136#2551C2212yescomplemented
137#2547C2212yes—
138#2545C2214yes—
139#2540C2212yescomplemented
140#2539C2211yescharacteristic
141#2539C2212yes—
142#2538C2212yescomplemented
143#2537C2212yescomplemented
144#2535C2212yes—
145#2535C2212yes—
146#2532C2214yescomplemented
147#2531C2214yescomplemented
148#2527C2214yescomplemented
149#2526C2214yescomplemented
150#2521C2214yes—
151#2518C2214yescomplemented
152#2515C2214yescomplemented
153#2514C2214yescomplemented
154#2513C2212yescomplemented
155#2512C2212yescomplemented
156#2510C2214yes—
157#2508C2212yescomplemented
158#2506C2212yescomplemented
159#2497C2212yes—
160#2495C2212yes—
161#2495C2212yescomplemented
162#2494C2212yes—
163#2494C2212yes—
164#2494C2212yescomplemented
165#2493C2214yescomplemented
166#2491C2212yes—
167#2491C2212yes—
168#2491C2214yes—
169#2491C2212yescomplemented
170#2491C2212yescomplemented
171#2488C2214yes—
172#2486C2212yes—
173#2485C2212yes—
174#2466C2214yescomplemented
175#2465C2214yescomplemented
176#2462C2214yescomplemented
177#2459C2214yes—
178#2459C2214yes—
179#2459C2214yescomplemented
180#2459C2214yescomplemented
181#2458C2214yes—
182#2458C2214yes—
183#2457C2214yes—
184#2456C2214yes—
185#2448C2214yes—
186#2444C2214yescomplemented
187#2439C2214yes—
188#2439C2212yes—
189#2439C2212yes—
190#2422C2212yes—
191#2420C2212yes—
192#2416C2212yes—
193#2414C2212yes—
194#2414C2212yes—
195#2414C2212yes—
196#2413C2212yes—
197#2411C2212yes—
198#2406C2212yes—
199#2404C2212yes—
200#2396C2211yescharacteristic
201#2396C2211yescharacteristic
202#2392C2211yescharacteristic
203#2392C2211yescharacteristic
204#2378C2212yes—
205#2377C2212yes—
206#2373C2214yescomplemented
207#2369C2212yescomplemented
208#2367C2214yescomplemented
209#2365C2212yescomplemented
210#2363C2212yes—
211#2363C2212yes—
212#2363C2212yescomplemented
213#2361C2212yescomplemented
214#2357C2212yescomplemented
215#2357C2212yescomplemented
216#2357C2212yescomplemented
217#2355C2212yescomplemented
218#2354C2212yes—
219#2352C2212yes—
220#2352C2212yescomplemented
221#2349C2212yescomplemented
222#2347C2212yescomplemented
223#2345C2212yescomplemented
224#2341C2212yes—
225#2339C2212yes—
226#2337C2214yes—
227#2337C2212yescomplemented
228#2336C2212yescomplemented
229#2335C2214yes—
230#2333C2214yes—
231#2331C2214yescomplemented
232#2324C2212yes—
233#2324C2214yes—
234#2324C2212yes—
235#2319C2212yescomplemented
236#2317C2212yescomplemented
237#2314C2212yes—
238#2314C2212yes—
239#2314C2212yes—
240#2314C2212yes—
241#2314C2212yescomplemented
242#2313C2212yes—
243#2313C2212yes—
244#2312C2212yes—
245#2312C2212yes—
246C4×C4⋊Q8C2212yescomplemented
247C4×#127C2212yescomplemented
248C4×#126C2214yescomplemented
249C4×#124C2214yescomplemented
250C4×#123C2212yes—
251C4×#120C2212yes—
252#2298C2212yes—
253#2298C2212yes—
254#2298C2212yes—
255#2298C2212yes—
256#2293C2212yes—
257#2293C2212yes—
258#2285C2211yescharacteristic
259#2285C2211yescharacteristic
260#2283C2211yescharacteristic
261#2280C2211yescharacteristic
262#2280C2211yescharacteristic
263#2275C2212yescomplemented
264C4×#117C2211yescharacteristic
265C4×#117C2211yescharacteristic
266C4×#117C2211yescharacteristic
267C22×#41C2312yes—
268C24×C4C2311yescharacteristic
269#532—28no—
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2312yes—
272C2×C4⋊Q8C2314yes—
273C2×C4⋊Q8C2312yes—
274C2×#127C2311yescharacteristic
275#529—28no—
276C2×#126C2312yes—
277C2×#126C2314yes—
278C2×#125C2311yescharacteristic
279C2×#125C2314yes—
280C2×#124C2311yescharacteristic
281C2×#124C2312yes—
282C2×#124C2314yes—
283C2×#124C2314yes—
284C2×#124C2314yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287C2×#123C2312yes—
288C2×#123C2312yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×C22⋊Q8C2311yescharacteristic
293C2×C22⋊Q8C2314yes—
294C2×#121C2312yes—
295C2×#121C2311yescharacteristic
296C2×#121C2312yes—
297C2×#121C2312yes—
298C2×#121C2312yes—
299C2×#121C2314yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2314yes—
303C2×#120C2312yes—
304C2×#120C2314yes—
305C2×C4×Q8C2311yescharacteristic
306C2×C4×Q8C2314yes—
307C2×C4×Q8C2314yes—
308C2×C4×D4C2312yes—
309C2×C4×D4C2312yes—
310C2×C4×D4C2312yes—
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2314yes—
313C2×C4×D4C2312yes—
314C2×C4×D4C2312yes—
315C2×C4×D4C2312yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2314yes—
318C2×C4×D4C2314yes—
319C2×#117—28no—
320C2×#117C2311yescharacteristic
321C2×#117C2311yescharacteristic
322C2×#117C2311yescharacteristic
323C2×#117C2311yescharacteristic
324C2×#117C2312yes—
325C2×#117C2311yescharacteristic
326C2×#117C2311yescharacteristic
327C2×#117C2311yescharacteristic
328C2×#117C2311yescharacteristic
329C2×#117C2312yes—
330C2×#117C2312yes—
331C2×#117C2311yescharacteristic
332C2×#117C2311yescharacteristic
333C2×#117C2311yescharacteristic
334C2×#117C2311yescharacteristic
335C22×C4⋊C4C2311yescharacteristic
336C22×C4⋊C4C2311yescharacteristic
337C22×C4⋊C4C2312yes—
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C42C2311yescharacteristic
341C22×C42C2311yescharacteristic
342#401C2314yes—
343#401C2314yes—
344#401C2314yes—
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#400C2314yes—
349#400C2312yes—
350#400C2314yes—
351#400C2314yes—
352#400C2312yes—
353#400C2311yescharacteristic
354#400C2311yescharacteristic
355#400C2314yes—
356#400C2314yes—
357#399C2314yes—
358#399C2312yes—
359#399C2312yes—
360#399C2311yescharacteristic
361#399C2311yescharacteristic
362#398C2311yescharacteristic
363#398C2311yescharacteristic
364#398C2312yes—
365#398C2312yes—
366#398C2314yes—
367#398C2314yes—
368#398C2314yes—
369#397C2311yescharacteristic
370#397C2311yescharacteristic
371#397C2314yes—
372#397C2314yes—
373#397C2314yes—
374#397C2314yes—
375#397C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#396C2314yes—
388#396C2314yes—
389#396C2312yes—
390#396C2314yes—
391#396C2312yes—
392#396C2312yes—
393#396C2312yes—
394#396C2314yes—
395#396C2314yes—
396#396C2314yes—
397#396C2314yes—
398#395C2314yes—
399#395C2312yes—
400#395C2314yes—
401#395C2311yescharacteristic
402#395C2311yescharacteristic
403#395C2314yes—
404#395C2312yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2312yes—
411#394C2312yes—
412#394C2311yescharacteristic
413#394C2311yescharacteristic
414#394C2314yes—
415#394C2312yes—
416#394C2314yes—
417#394C2312yes—
418#394C2312yes—
419#394C2314yes—
420#394C2314yes—
421#394C2312yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#393C2311yescharacteristic
429#393C2311yescharacteristic
430#393C2314yes—
431#393C2314yes—
432#393C2314yes—
433#393C2314yes—
434#393C2314yes—
435#393C2312yes—
436#393C2314yes—
437#393C2312yes—
438#393C2314yes—
439#393C2314yes—
440#393C2314yes—
441#392C2312yes—
442#392C2312yes—
443#392C2314yes—
444#392C2312yes—
445#392C2314yes—
446#392C2312yes—
447#392C2311yescharacteristic
448#392C2311yescharacteristic
449#392C2314yes—
450#392C2314yes—
451#392C2314yes—
452#392C2314yes—
453#392C2314yes—
454#391C2314yes—
455#391C2314yes—
456#391C2314yes—
457#391C2314yes—
458#391C2314yes—
459#391C2314yes—
460#391C2314yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#390C2314yes—
467#390C2314yes—
468#390C2312yes—
469#390C2312yes—
470#390C2314yes—
471#390C2314yes—
472#390C2314yes—
473#390C2312yes—
474#390C2312yes—
475#390C2314yes—
476#390C2314yes—
477#390C2314yes—
478#390C2314yes—
479#390C2312yes—
480#390C2314yes—
481#390C2312yes—
482#390C2314yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2314yes—
488#389C2314yes—
489#389C2312yes—
490#389C2312yes—
491#389C2314yes—
492#389C2312yes—
493#389C2312yes—
494#389C2314yes—
495#389C2314yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2314yes—
500#389C2312yes—
501#389C2314yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2312yes—
512#388C2312yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2312yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2312yes—
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#387C2312yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2312yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2312yes—
614#386C2312yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2312yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2312yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2312yes—
629#385C2312yes—
630#385C2314yes—
631#385C2312yes—
632#384C2312yes—
633#384C2312yes—
634#384C2312yes—
635#383C2314yes—
636#383C2314yes—
637#383C2312yes—
638#383C2314yes—
639#382C2314yes—
640#382C2312yes—
641#382C2312yes—
642#382C2311yescharacteristic
643#382C2314yes—
644#382C2312yes—
645#382C2312yes—
646#382C2311yescharacteristic
647#382C2312yes—
648#382C2314yes—
649#381C2312yes—
650#381C2312yes—
651#381C2312yes—
652#381C2314yes—
653#381C2314yes—
654#381C2314yes—
655#381C2314yes—
656#381C2314yes—
657#381C2312yes—
658#380C2314yes—
659#380C2314yes—
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2314yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2314yes—
677#379C2312yes—
678#379C2312yes—
679#379C2312yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2311yescharacteristic
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2311yescharacteristic
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2311yescharacteristic
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728#376C2311yescharacteristic
729#376C2312yes—
730#376C2311yescharacteristic
731#376C2312yes—
732#376C2312yes—
733C2×#95C2314yes—
734C43C2312yes—
735C43C2312yes—
736C43C2312yes—
737C25C2411yescharacteristic
738C2×#41—28no—
739C2×#41—84no—
740C22×Q8C2412yes—
741C22×Q8C2411yescharacteristic
742C22×Q8C2414yes—
743C22×Q8C2414yes—
744C22×D4C2412yes—
745C22×D4C2412yes—
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2411yescharacteristic
750C22×D4C2414yes—
751C22×D4C2412yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C23×C4—24no—
757C23×C4—42no—
758C23×C4—42no—
759C23×C4C2412yes—
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C23×C4C2414yes—
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2411yescharacteristic
773C23×C4C2411yescharacteristic
774C4⋊Q8—24no—
775C4⋊Q8—44no—
776C4⋊Q8—44no—
777C4⋊Q8—48no—
778#127—24no—
779#126—28no—
780#126—48no—
781#125—24no—
782#125—84no—
783#124—24no—
784#124—28no—
785#124—48no—
786#124—48no—
787#124—84no—
788#124—84no—
789#124—84no—
790#123—28no—
791#123—44no—
792#123—84no—
793#123—84no—
794#123—84no—
795C22⋊Q8—24no—
796C22⋊Q8—84no—
797#121—24no—
798#121—28no—
799#121—28no—
800#121—48no—
801#121—44no—
802#121—44no—
803#121—44no—
804#121—44no—
805#121—84no—
806#120—44no—
807#120—84no—
808C4×Q8—24no—
809C4×Q8—84no—
810C4×Q8—84no—
811C4×D4—28no—
812C4×D4—24no—
813C4×D4—28no—
814C4×D4—28no—
815C4×D4—48no—
816C4×D4—44no—
817C4×D4—44no—
818C4×D4—44no—
819C4×D4—44no—
820C4×D4—84no—
821C4×D4—84no—
822#117—24no—
823#117—24no—
824#117—24no—
825#117—24no—
826#117—24no—
827#117—24no—
828#117—24no—
829#117—24no—
830#117—28no—
831#117—44no—
832#117—42no—
833#117—44no—
834#117—42no—
835#117—42no—
836#117—42no—
837C2×C4⋊C4—24no—
838C2×C4⋊C4—24no—
839C2×C4⋊C4—44no—
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C22⋊C4—24no—
890C2×C22⋊C4—24no—
891C2×C22⋊C4C2411yescharacteristic
892C2×C22⋊C4C2411yescharacteristic
893C2×C22⋊C4C2411yescharacteristic
894C2×C22⋊C4C2411yescharacteristic
895C2×C22⋊C4C2411yescharacteristic
896C2×C22⋊C4C2411yescharacteristic
897C2×C22⋊C4C2411yescharacteristic
898C2×C22⋊C4C2411yescharacteristic
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C42—24no—
955C2×C42#4118yes—
956C2×C42C2411yescharacteristic
957C2×C42C2411yescharacteristic
958C2×C42C2411yescharacteristic
959C2×C42C2411yescharacteristic
960C2×C42C2412yes—
961C2×C42C2412yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964C2×C42C2412yes—
965C2×C42C2412yes—
966C2×C42C2412yes—
967C2×C42C2412yes—
968C2×C42C2412yes—
969C2×C42C2414yes—
970C2×C42C2412yes—
971C2×C42C2414yes—
972C2×C42C2412yes—
973C2×C42C2414yes—
974C2×C42C2414yes—
975C2×C42C2414yes—
976C2×C42C2414yes—
977C2×C42C2414yes—
978C2×C42C2414yes—
979C2×C42C2414yes—
980C2×C42C2414yes—
981C2×C42C2411yescharacteristic
982C2×C42C2411yescharacteristic
983C2×C42C2411yescharacteristic
984C2×C42C2411yescharacteristic
985#95C2411yescharacteristic
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2412yes—
990#95C2411yescharacteristic
991#95C2411yescharacteristic
992#95C2414yes—
993#95C2414yes—
994#95C2411yescharacteristic
995#95C2414yes—
996#95C2412yes—
997#95C2414yes—
998#95C2414yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2414yes—
1005#95C2412yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047C24—22no—
1048C24—41no—
1049C24—41no—
1050C24—42no—
1051C24—42no—
1052C24C2511yescharacteristic
1053C24C2511yescharacteristic
1054C24C2512yes—
1055C24C2514yes—
1056C24C2511yescharacteristic
1057#41—816no—
1058C2×Q8—24no—
1059C2×Q8—22no—
1060C2×Q8—28no—
1061C2×Q8—44no—
1062C2×Q8—44no—
1063C2×Q8—42no—
1064C2×Q8—44no—
1065C2×Q8—44no—
1066C2×Q8—44no—
1067C2×Q8—44no—
1068C2×D4—24no—
1069C2×D4—28no—
1070C2×D4—24no—
1071C2×D4—24no—
1072C2×D4—24no—
1073C2×D4—22no—
1074C2×D4—24no—
1075C2×D4—24no—
1076C2×D4—24no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—44no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—42no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—24no—
1111C22×C4—24no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—24no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—28no—
1118C22×C4—42no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—42no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—416no—
1140C22×C4C2×#4114yes—
1141C22×C4C2×#4114yes—
1142C22×C4C2×#4114yes—
1143C22×C4C2512yes—
1144C22×C4C2511yescharacteristic
1145C22×C4C2511yescharacteristic
1146C22×C4C2514yes—
1147C22×C4C2511yescharacteristic
1148C22×C4C2511yescharacteristic
1149C22×C4C2514yes—
1150C22×C4C2512yes—
1151C22×C4C2512yes—
1152C22×C4C2514yes—
1153C22×C4C2514yes—
1154C22×C4C2512yes—
1155C22×C4C2514yes—
1156C22×C4C2514yes—
1157C22×C4C2514yes—
1158C22×C4C2512yes—
1159C22×C4C2511yescharacteristic
1160C22×C4C2511yescharacteristic
1161C22×C4C2512yes—
1162C22×C4C2511yescharacteristic
1163C22×C4C2511yescharacteristic
1164C22×C4C2511yescharacteristic
1165C22×C4C2511yescharacteristic
1166C22×C4C2511yescharacteristic
1167C22×C4C2512yes—
1168C22×C4C2511yescharacteristic
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
1174C4⋊C4—22no—
1175C4⋊C4—22no—
1176C4⋊C4—22no—
1177C4⋊C4—24no—
1178C4⋊C4—24no—
1179C4⋊C4—24no—
1180C4⋊C4—24no—
1181C4⋊C4—22no—
1182C4⋊C4—24no—
1183C4⋊C4—22no—
1184C4⋊C4—24no—
1185C4⋊C4—24no—
1186C4⋊C4—24no—
1187C4⋊C4—24no—
1188C4⋊C4—24no—
1189C4⋊C4—24no—
1190C4⋊C4—24no—
1191C4⋊C4—28no—
1192C4⋊C4—24no—
1193C4⋊C4—24no—
1194C4⋊C4—44no—
1195C4⋊C4—42no—
1196C4⋊C4—44no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—42no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—42no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—42no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C22⋊C4—24no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—24no—
1228C22⋊C4—24no—
1229C22⋊C4—28no—
1230C22⋊C4—28no—
1231C22⋊C4—24no—
1232C22⋊C4—24no—
1233C22⋊C4—24no—
1234C22⋊C4—28no—
1235C22⋊C4—28no—
1236C22⋊C4—24no—
1237C22⋊C4—24no—
1238C22⋊C4—42no—
1239C22⋊C4—42no—
1240C22⋊C4—44no—
1241C22⋊C4—42no—
1242C22⋊C4—42no—
1243C22⋊C4—42no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—42no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—42no—
1277C22⋊C4—44no—
1278C22⋊C4—42no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C42—22no—
1282C42—22no—
1283C42—22no—
1284C42—22no—
1285C42—24no—
1286C42—24no—
1287C42—24no—
1288C42—24no—
1289C42—42no—
1290C42—42no—
1291C42—42no—
1292C42—42no—
1293C42—42no—
1294C42—44no—
1295C42—42no—
1296C42—44no—
1297C42—42no—
1298C42—44no—
1299C42—44no—
1300C42—44no—
1301C42—44no—
1302C42—44no—
1303C42—44no—
1304C42—44no—
1305C42—44no—
1306C42C2×#4114yes—
1307C42C2×#4114yes—
1308C42C2×#4114yes—
1309C42C2×#4114yes—
1310C23—22no—
1311C23—21no—
1312C23—21no—
1313C23—22no—
1314C23—21no—
1315C23—21no—
1316C23—22no—
1317C23—24no—
1318C23—24no—
1319C23—22no—
1320C23—22no—
1321C23—24no—
1322C23—22no—
1323C23—24no—
1324C23—24no—
1325C23—22no—
1326C23—21no—
1327C23—21no—
1328C23—22no—
1329C23—21no—
1330C23—21no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—24no—
1336C23—24no—
1337C23—22no—
1338C23—44no—
1339C23—82no—
1340C23—82no—
1341C23—84no—
1342C23—84no—
1343C23C22×#4112yes—
1344C23C2611yescharacteristic
1345Q8—48no—
1346Q8—82no—
1347Q8—88no—
1348Q8—164no—
1349D4—48no—
1350D4—48no—
1351D4—48no—
1352D4—82no—
1353D4—84no—
1354D4—84no—
1355D4—88no—
1356D4—84no—
1357D4—88no—
1358D4—164no—
1359D4—164no—
1360D4—164no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—28no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—24no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—24no—
1387C2×C4—22no—
1388C2×C4—24no—
1389C2×C4—24no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—24no—
1393C2×C4—24no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—24no—
1397C2×C4—24no—
1398C2×C4—24no—
1399C2×C4—24no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—24no—
1408C2×C4—24no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—24no—
1416C2×C4—24no—
1417C2×C4—24no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—24no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—44no—
1426C2×C4—44no—
1427C2×C4—44no—
1428C2×C4—48no—
1429C2×C4—44no—
1430C2×C4—44no—
1431C2×C4—88no—
1432C2×C4—82no—
1433C2×C4—82no—
1434C2×C4—164no—
1435C2×C4—164no—
1436C2×C4—164no—
1437C2×C4C22×#4112yes—
1438C2×C4C22×#4112yes—
1439C2×C4C22×#4112yes—
1440C2×C4C22×#4112yes—
1441C2×C4C22×#4112yes—
1442C2×C4C22×#4112yes—
1443C2×C4#58514yes—
1444C2×C4#58512yes—
1445C2×C4#58512yes—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—42no—
1450C22—42no—
1451C22—41no—
1452C22—41no—
1453C22—42no—
1454C22—44no—
1455C22—44no—
1456C22—42no—
1457C22—41no—
1458C22—41no—
1459C22—44no—
1460C22—42no—
1461C22—41no—
1462C22—41no—
1463C22—42no—
1464C22—44no—
1465C22—44no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—44no—
1472C22—42no—
1473C22—42no—
1474C22—44no—
1475C22—88no—
1476C22C23×#4111yescharacteristic
1477C22C2×#58511yescharacteristic
1478C22C2×#58511yescharacteristic
1479C22C2×#58512yes—
1480C22H(7,𝔽2)12yes—
1481C4—22no—
1482C4—22no—
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—24no—
1487C4—42no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—42no—
1493C4—41no—
1494C4—41no—
1495C4—44no—
1496C4—42no—
1497C4—44no—
1498C4—44no—
1499C4—42no—
1500C4—44no—
1501C4—42no—
1502C4—44no—
1503C4—44no—
1504C4—44no—
1505C4—42no—
1506C4#349314yes—
1507C2—42no—
1508C2—82no—
1509C2—84no—
1510C2—81no—
1511C2—81no—
1512C2C2×#349311yescharacteristic
1513C2#6281511yescharacteristic
1514C2#6285511yescharacteristic
1515C2#6296612yes—
1516C2#6297012yes—
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. #49598C2semidirect
2. #49597C2semidirect
3. #47888C2semidirect
4. #47887C2semidirect
5. #46469C2semidirect
6. #46404C2semidirect
7. #45208C2semidirect
8. #45206C2semidirect
9. #45066C2semidirect
10. #45037C2semidirect
11. #40282C2semidirect
12. #40267C2semidirect
13. #39934C2semidirect
14. #39933C2semidirect
15. #39552C2semidirect
16. #39544C2semidirect
17. #39515C2semidirect
18. #39500C2semidirect
19. #37621C2semidirect
20. #37025C2semidirect
21. #37022C2semidirect
22. #36494C2semidirect
23. #36461C2semidirect
24. #35485C2semidirect
25. #35470C2semidirect
26. #35301C2semidirect
27. #35192C2semidirect
28. #34877C2semidirect
29. #34385C2semidirect
30. #34226C2semidirect
31. #34048C2semidirect
35. #2865C22semidirect
36. #2864C22semidirect
37. #2862C22semidirect
38. #2861C22semidirect
42. #2808C22semidirect
43. #2808C22semidirect
47. #2800C22semidirect
49. #2798C22semidirect
50. #2797C22semidirect
51. #2776C22semidirect
53. #2765C22semidirect
58. #2759C22semidirect
59. #2757C22semidirect
63. #2747C22semidirect
64. #2745C22semidirect
65. #2745C22semidirect
70. #2731C22semidirect
71. #2716C22semidirect
77. #2690C22semidirect
78. #2686C22semidirect
84. #2662C22semidirect
89. #2628C22semidirect
92. #2619C22semidirect
101. #2605C22semidirect
102. #2605C22semidirect
107. #2600C22semidirect
112. #2594C22semidirect
117. #2581C22semidirect
120. #2576C22semidirect
121. #2575C22semidirect
122. #2574C22semidirect
124. #2571C22semidirect
126. #2562C22semidirect
136. #2551C22semidirect
139. #2540C22semidirect
142. #2538C22semidirect
143. #2537C22semidirect
146. #2532C22semidirect
147. #2531C22semidirect
148. #2527C22semidirect
149. #2526C22semidirect
151. #2518C22semidirect
152. #2515C22semidirect
153. #2514C22semidirect
154. #2513C22semidirect
155. #2512C22semidirect
157. #2508C22semidirect
158. #2506C22semidirect
161. #2495C22semidirect
164. #2494C22semidirect
165. #2493C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
174. #2466C22semidirect
175. #2465C22semidirect
176. #2462C22semidirect
179. #2459C22semidirect
180. #2459C22semidirect
186. #2444C22semidirect
206. #2373C22semidirect
207. #2369C22semidirect
208. #2367C22semidirect
209. #2365C22semidirect
212. #2363C22semidirect
213. #2361C22semidirect
214. #2357C22semidirect
215. #2357C22semidirect
216. #2357C22semidirect
217. #2355C22semidirect
220. #2352C22semidirect
221. #2349C22semidirect
222. #2347C22semidirect
223. #2345C22semidirect
227. #2337C22semidirect
228. #2336C22semidirect
231. #2331C22semidirect
235. #2319C22semidirect
236. #2317C22semidirect
241. #2314C22semidirect
246. C4×C4⋊Q8C22semidirect
247. C4×#127C22semidirect
248. C4×#126C22semidirect
249. C4×#124C22semidirect
263. #2275C22semidirect

Maximal subgroups

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

subgroupindex
#495982
#495972
#478882
#478872
#464692
#464042
#452082
#452062
#450662
#450372
#402822
#402672
#399342
#399332
#395522
#395442
#395152
#395002
#376212
#370252
#370222
#364942
#364612
#354852
#354702
#353012
#351922
#348772
#343852
#342262
#340482