Finite Group Databasebeta

← #8726415

Subgroups — #8726415

Order 512.

5379 conjugacy classes of subgroups.

The subgroup lattice has 1612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59818C211yesmaximal, characteristic, complemented
2#59556C212yesmaximal, complemented
3#59390C212yesmaximal, complemented
4#59128C212yesmaximal, complemented
5#59051C212yesmaximal, complemented
6#58934C214yesmaximal, complemented
7#58804C212yesmaximal, complemented
8#58354C214yesmaximal, complemented
9#55579C214yesmaximal, complemented
10#53128C212yesmaximal, complemented
11#52969C211yesmaximal, characteristic, complemented
12#52297C211yesmaximal, characteristic, complemented
13#47540C212yesmaximal, complemented
14#46630C214yesmaximal, complemented
15#45437C212yesmaximal, complemented
16#45244C211yesmaximal, characteristic, complemented
17#44886C212yesmaximal, complemented
18#43440C214yesmaximal, complemented
19#42992C212yesmaximal, complemented
20#42987C211yesmaximal, characteristic, complemented
21#42361C212yesmaximal, complemented
22#41087C214yesmaximal, complemented
23#40150C212yesmaximal, complemented
24#40122C212yesmaximal, complemented
25#39888C212yesmaximal, complemented
26#39747C211yesmaximal, characteristic, complemented
27#39222C212yesmaximal, complemented
28#36018C212yesmaximal, complemented
29#36007C211yesmaximal, characteristic, complemented
30C2×#556C2211yescharacteristic
31C2×#550C2212yes—
32C2×#550C2211yescharacteristic, complemented
33C2×#548C2212yes—
34C2×#548C2212yescomplemented
35C2×#547C2212yescomplemented
36C2×#546C2212yes—
37C2×#537C2212yes—
38C2×#535C2211yescharacteristic
39C2×#532C2212yes—
40C2×#519C2211yescharacteristic, complemented
41#2858C2211yescharacteristic, complemented
42#2854C2212yes—
43#2828C2212yes—
44#2828C2214yescomplemented
45#2827C2214yescomplemented
46#2826C2214yescomplemented
47#2818C2212yes—
48#2815C2214yes—
49#2815C2214yescomplemented
50#2813C2214yes—
51#2812C2212yes—
52#2803C2212yes—
53#2797C2214yescomplemented
54#2795C2211yescharacteristic, complemented
55#2792C2211yescharacteristic, complemented
56#2788C2214yescomplemented
57#2784C2211yescharacteristic, complemented
58#2772C2214yescomplemented
59#2761C2214yescomplemented
60#2757C2214yescomplemented
61#2756C2212yes—
62#2756C2214yescomplemented
63#2753C2214yes—
64#2753C2214yescomplemented
65#2753C2214yescomplemented
66#2749C2214yescomplemented
67#2749C2214yescomplemented
68#2737C2212yescomplemented
69#2733C2214yescomplemented
70#2714C2214yes—
71#2714C2212yescomplemented
72#2714C2214yescomplemented
73#2714C2214yescomplemented
74#2710C2214yescomplemented
75#2708C2214yescomplemented
76#2706C2214yescomplemented
77#2705C2212yes—
78#2701C2214yes—
79#2701C2214yescomplemented
80#2699C2214yes—
81#2699C2212yes—
82#2699C2214yes—
83#2699C2214yescomplemented
84#2699C2211yescharacteristic, complemented
85#2699C2214yescomplemented
86#2688C2214yescomplemented
87#2686C2214yescomplemented
88#2685C2214yes—
89#2683C2212yescomplemented
90#2682C2214yes—
91#2680C2212yes—
92#2678C2214yes—
93#2678C2214yes—
94#2676C2214yes—
95#2676C2214yes—
96#2675C2212yescomplemented
97#2675C2214yescomplemented
98#2673C2214yes—
99#2673C2212yes—
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2672C2214yescomplemented
104#2670C2214yes—
105#2669C2214yes—
106#2669C2212yes—
107#2669C2214yes—
108#2669C2214yes—
109#2668C2212yes—
110#2663C2214yescomplemented
111#2662C2212yes—
112#2661C2214yescomplemented
113#2657C2212yes—
114#2651C2214yescomplemented
115#2637C2212yes—
116#2635C2214yescomplemented
117#2632C2212yes—
118#2630C2214yes—
119#2627C2214yescomplemented
120#2625C2211yescharacteristic, complemented
121#2619C2212yes—
122#2619C2214yescomplemented
123#2616C2211yescharacteristic
124#2604C2212yes—
125#2602C2214yes—
126#2602C2214yes—
127#2593C2214yes—
128#2591C2214yes—
129#2587C2214yescomplemented
130#2581C2212yescomplemented
131#2578C2214yescomplemented
132#2573C2214yescomplemented
133#2557C2214yescomplemented
134#2555C2212yes—
135#2555C2214yescomplemented
136#2555C2214yescomplemented
137#2555C2214yescomplemented
138#2555C2212yescomplemented
139#2548C2212yes—
140#2548C2212yes—
141#2548C2212yescomplemented
142#2548C2214yescomplemented
143#2547C2211yescharacteristic, complemented
144#2545C2212yes—
145#2544C2212yes—
146#2541C2214yes—
147#2541C2211yescharacteristic
148#2541C2212yes—
149#2541C2212yes—
150#2541C2214yescomplemented
151#2540C2212yes—
152#2536C2212yes—
153#2536C2212yescomplemented
154#2536C2214yescomplemented
155#2535C2212yes—
156#2534C2214yes—
157#2529C2214yescomplemented
158#2526C2214yescomplemented
159#2526C2214yescomplemented
160#2525C2214yescomplemented
161#2518C2214yes—
162#2515C2214yescomplemented
163#2513C2212yes—
164#2513C2212yescomplemented
165#2508C2212yescomplemented
166#2503C2212yescomplemented
167#2495C2212yescomplemented
168#2491C2212yes—
169#2487C2212yescomplemented
170#2478C2214yescomplemented
171#2474C2214yes—
172#2472C2214yes—
173#2466C2214yescomplemented
174#2464C2214yes—
175#2464C2214yescomplemented
176#2464C2214yescomplemented
177#2463C2212yescomplemented
178#2461C2214yes—
179#2461C2214yescomplemented
180#2456C2214yescomplemented
181#2456C2214yescomplemented
182#2456C2214yescomplemented
183#2451C2212yescomplemented
184#2449C2214yescomplemented
185#2447C2212yes—
186#2445C2212yes—
187#2435C2211yescharacteristic
188#2434C2211yescharacteristic, complemented
189#2433C2212yes—
190#2431C2212yes—
191#2431C2212yes—
192#2431C2212yescomplemented
193#2429C2212yes—
194#2429C2212yescomplemented
195#2428C2214yes—
196#2428C2212yes—
197#2428C2212yes—
198#2428C2214yescomplemented
199#2426C2212yes—
200#2426C2212yes—
201#2426C2212yes—
202#2426C2214yescomplemented
203#2426C2214yescomplemented
204#2426C2212yescomplemented
205#2424C2214yes—
206#2424C2214yes—
207#2420C2212yes—
208#2420C2212yescomplemented
209#2416C2212yes—
210#2416C2214yescomplemented
211#2416C2212yescomplemented
212#2414C2212yes—
213#2414C2212yes—
214#2414C2214yescomplemented
215#2414C2214yescomplemented
216#2414C2212yescomplemented
217#2409C2211yescharacteristic
218#2408C2211yescharacteristic
219#2407C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2407C2212yescomplemented
223#2407C2212yescomplemented
224#2399C2212yescomplemented
225#2395C2211yescharacteristic
226#2392C2212yescomplemented
227#2392C2214yescomplemented
228#2388C2212yes—
229#2388C2211yescharacteristic
230#2367C2212yescomplemented
231#2365C2212yescomplemented
232#2362C2212yes—
233#2361C2212yes—
234#2361C2214yescomplemented
235#2361C2214yescomplemented
236#2360C2212yescomplemented
237#2358C2212yes—
238#2357C2214yescomplemented
239#2357C2214yescomplemented
240#2351C2212yescomplemented
241#2347C2211yescharacteristic
242#2346C2211yescharacteristic, complemented
243#2341C2212yes—
244#2341C2212yescomplemented
245#2337C2214yescomplemented
246#2333C2214yescomplemented
247#2328C2214yescomplemented
248#2326C2212yescomplemented
249#2321C2214yes—
250C4×#127C2211yescharacteristic
251C4×#126C2212yescomplemented
252C4×#124C2212yes—
253C4×C22⋊Q8C2212yescomplemented
254C4×#123C2212yes—
255C4×#121C2212yescomplemented
256C4×#121C2212yescomplemented
257C4×#121C2212yescomplemented
258#2295C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C22×#41C2312yes—
261C22×#41C2311yescharacteristic
262C22×#41C2312yes—
263C23×Q8C2311yescharacteristic
264C23×D4C2311yescharacteristic
265#556—44no—
266#550—48no—
267#550—44no—
268#548—48no—
269#548—48no—
270#547—48no—
271#546—48no—
272#537—48no—
273#535—44no—
274#532—48no—
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2311yescharacteristic
277C2×#127C2311yescharacteristic
278C2×#127C2312yes—
279C2×#127C2314yes—
280C2×#127C2311yescharacteristic
281C2×#127C2312yes—
282C2×#127C2314yes—
283C2×#127C2312yes—
284C2×#127C2312yes—
285C2×#127C2312yes—
286C2×#126C2312yes—
287C2×#126C2312yes—
288C2×#126C2312yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2314yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2314yes—
296C2×#124C2312yes—
297C2×#124C2314yes—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#123C2312yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2311yescharacteristic
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2314yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#120C2314yes—
344C2×#120C2312yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348#519—44no—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2314yes—
378C22×C4⋊C4C2314yes—
379C22×C4⋊C4C2312yes—
380C22×C22⋊C4C2314yes—
381C22×C42C2312yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2311yescharacteristic
387#400C2314yes—
388#400C2314yes—
389#399C2314yes—
390#399C2311yescharacteristic
391#399C2314yes—
392#398C2312yes—
393#398C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2311yescharacteristic
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2311yescharacteristic
413#397C2312yes—
414#397C2312yes—
415#397C2314yes—
416#396C2312yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2312yes—
427#396C2314yes—
428#395C2312yes—
429#395C2312yes—
430#395C2312yes—
431#395C2312yes—
432#395C2312yes—
433#395C2311yescharacteristic
434#395C2314yes—
435#394C2312yes—
436#394C2312yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2312yes—
446#394C2314yes—
447#394C2312yes—
448#394C2314yes—
449#394C2312yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2312yes—
464#394C2312yes—
465#394C2311yescharacteristic
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#393C2312yes—
477#393C2314yes—
478#393C2311yescharacteristic
479#393C2312yes—
480#392C2311yescharacteristic
481#392C2314yes—
482#392C2312yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2312yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2312yes—
498#392C2312yes—
499#392C2312yes—
500#392C2312yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2312yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2312yes—
513#392C2314yes—
514#392C2314yes—
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2314yes—
651#386C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2314yes—
665#385C2312yes—
666#384C2311yescharacteristic
667#383C2312yes—
668#383C2312yes—
669#383C2314yes—
670#382C2312yes—
671#382C2314yes—
672#382C2312yes—
673#382C2314yes—
674#382C2312yes—
675#381C2314yes—
676#381C2314yes—
677#381C2312yes—
678#381C2314yes—
679#381C2314yes—
680#381C2314yes—
681#380C2312yes—
682#380C2312yes—
683#380C2314yes—
684#380C2312yes—
685#380C2314yes—
686#380C2311yescharacteristic
687#380C2311yescharacteristic
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#379C2314yes—
692#379C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2311yescharacteristic
717C4×C22⋊C4C2311yescharacteristic
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2312yes—
720#376C2312yes—
721#376C2312yes—
722C43C2311yescharacteristic
723C25C2412yes—
724C2×#41—28no—
725C2×#41—28no—
726C2×#41—42no—
727C2×#41—44no—
728C2×#41—44no—
729C2×#41—44no—
730C2×#41—44no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—44no—
734C2×#41—44no—
735C22×Q8—28no—
736C22×Q8—42no—
737C22×Q8C2411yescharacteristic
738C22×Q8C2412yes—
739C22×Q8C2412yes—
740C22×Q8C2412yes—
741C22×Q8C2411yescharacteristic
742C22×D4—42no—
743C22×D4—44no—
744C22×D4C2412yes—
745C22×D4C2412yes—
746C22×D4C2411yescharacteristic
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2412yes—
752C22×D4C2411yescharacteristic
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2411yescharacteristic
771C22×D4C2412yes—
772C22×D4C2412yes—
773C23×C4C2412yes—
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2412yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2412yes—
786C4⋊Q8—28no—
787C4⋊Q8—42no—
788#127—48no—
789#127—42no—
790#127—44no—
791#127—44no—
792#127—44no—
793#127—48no—
794#127—42no—
795#127—44no—
796#127—82no—
797#126—44no—
798#126—44no—
799#126—44no—
800#124—28no—
801#124—28no—
802#124—44no—
803#124—44no—
804#124—44no—
805#124—44no—
806#124—48no—
807#124—48no—
808#124—48no—
809#124—82no—
810#124—82no—
811#123—44no—
812#123—48no—
813#123—48no—
814#123—48no—
815#123—84no—
816#123—84no—
817C22⋊Q8—28no—
818C22⋊Q8—28no—
819C22⋊Q8—28no—
820C22⋊Q8—48no—
821C22⋊Q8—48no—
822C22⋊Q8—48no—
823C22⋊Q8—44no—
824C22⋊Q8—42no—
825C22⋊Q8—42no—
826#121—28no—
827#121—28no—
828#121—48no—
829#121—48no—
830#121—48no—
831#121—48no—
832#121—48no—
833#121—44no—
834#121—44no—
835#121—48no—
836#121—48no—
837#121—48no—
838#121—48no—
839#121—48no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—48no—
845#121—44no—
846#121—44no—
847#121—44no—
848#121—44no—
849#121—44no—
850#121—44no—
851#121—84no—
852#121—84no—
853#121—84no—
854#120—48no—
855#120—44no—
856#120—48no—
857#120—48no—
858#120—84no—
859C4×Q8—28no—
860C4×Q8—24no—
861C4×Q8—44no—
862C4×Q8—44no—
863C4×Q8—44no—
864C4×Q8—44no—
865C4×Q8—44no—
866C4×Q8—44no—
867C4×D4—48no—
868C4×D4—48no—
869C4×D4—44no—
870C4×D4—44no—
871C4×D4—44no—
872C4×D4—48no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—42no—
879C4×D4—42no—
880C4×D4—48no—
881C4×D4—48no—
882C4×D4—48no—
883C4×D4—48no—
884#117—24no—
885#117—24no—
886#117—42no—
887#117—48no—
888C2×C4⋊C4—44no—
889C2×C4⋊C4—48no—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C22⋊C4—48no—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2411yescharacteristic
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C42—44no—
1006C2×C42C2412yes—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2414yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2414yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026#95C2411yescharacteristic
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2411yescharacteristic
1038#95C2414yes—
1039#95C2411yescharacteristic
1040#95C2412yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2411yescharacteristic
1053#95C2414yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073C24—44no—
1074C24—42no—
1075C24—42no—
1076C24—44no—
1077C24—42no—
1078C24C2511yescharacteristic
1079C24C2514yes—
1080C24C2511yescharacteristic
1081C24C2512yes—
1082C24C2512yes—
1083C24C2514yes—
1084#41—88no—
1085#41—816no—
1086#41—816no—
1087#41—816no—
1088C2×Q8—24no—
1089C2×Q8—24no—
1090C2×Q8—22no—
1091C2×Q8—28no—
1092C2×Q8—24no—
1093C2×Q8—24no—
1094C2×Q8—42no—
1095C2×Q8—42no—
1096C2×Q8—42no—
1097C2×Q8—41no—
1098C2×Q8—42no—
1099C2×Q8—416no—
1100C2×Q8H(5,𝔽2)18yes—
1101C2×D4—24no—
1102C2×D4—24no—
1103C2×D4—24no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—22no—
1112C2×D4—28no—
1113C2×D4—24no—
1114C2×D4—22no—
1115C2×D4—24no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—41no—
1125C2×D4—42no—
1126C2×D4—41no—
1127C2×D4—44no—
1128C2×D4—42no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—42no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C2×D4—42no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—41no—
1161C2×D4—42no—
1162C2×D4—41no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—41no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—88no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—28no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—28no—
1198C22×C4—28no—
1199C22×C4—24no—
1200C22×C4—28no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—44no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4C2514yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C4⋊C4—24no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—28no—
1252C4⋊C4—24no—
1253C4⋊C4—28no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—41no—
1269C4⋊C4—42no—
1270C4⋊C4—41no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4H(5,𝔽2)14yes—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—24no—
1290C22⋊C4—24no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—24no—
1299C22⋊C4—28no—
1300C22⋊C4—24no—
1301C22⋊C4—28no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—42no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C42—24no—
1360C42—24no—
1361C42—24no—
1362C42—24no—
1363C42—28no—
1364C42—24no—
1365C42—24no—
1366C42—22no—
1367C42—24no—
1368C42—28no—
1369C42—22no—
1370C42—42no—
1371C42—42no—
1372C42—44no—
1373C42—44no—
1374C42—44no—
1375C42—44no—
1376C42—41no—
1377C42—42no—
1378C42—42no—
1379C23—21no—
1380C23—21no—
1381C23—22no—
1382C23—24no—
1383C23—22no—
1384C23—22no—
1385C23—24no—
1386C23—24no—
1387C23—24no—
1388C23—22no—
1389C23—24no—
1390C23—24no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—24no—
1398C23—22no—
1399C23—24no—
1400C23—22no—
1401C23—22no—
1402C23—24no—
1403C23—24no—
1404C23—21no—
1405C23—24no—
1406C23—22no—
1407C23—22no—
1408C23—24no—
1409C23—22no—
1410C23—21no—
1411C23—22no—
1412C23—24no—
1413C23—24no—
1414C23—21no—
1415C23—21no—
1416C23—22no—
1417C23—84no—
1418C23—88no—
1419C23—162no—
1420C23—162no—
1421C23—164no—
1422C23C2611yescharacteristic
1423Q8—216no—
1424Q8—48no—
1425Q8—44no—
1426Q8—84no—
1427Q8—82no—
1428D4—48no—
1429D4—48no—
1430D4—84no—
1431D4—88no—
1432D4—88no—
1433D4—88no—
1434D4—84no—
1435D4—82no—
1436D4—82no—
1437D4—88no—
1438D4—88no—
1439D4—88no—
1440D4—84no—
1441D4—84no—
1442D4—84no—
1443D4—88no—
1444D4—84no—
1445D4—88no—
1446D4—88no—
1447D4—84no—
1448D4—84no—
1449D4—82no—
1450D4—88no—
1451D4—162no—
1452D4—164no—
1453D4—164no—
1454D4—164no—
1455D4—164no—
1456D4—164no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—48no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—48no—
1518C2×C4—48no—
1519C2×C4—84no—
1520C2×C4—88no—
1521C2×C4—88no—
1522C2×C4—88no—
1523C2×C4—84no—
1524C2×C4—88no—
1525C2×C4—164no—
1526C2×C4—164no—
1527C2×C4C2×H(5,𝔽2)14yes—
1528C2×C4C2×H(5,𝔽2)18yes—
1529C2×C4C2×H(5,𝔽2)14yes—
1530C2×C4C2×H(5,𝔽2)12yes—
1531C2×C4#58514yes—
1532C2×C4#58512yes—
1533C22—41no—
1534C22—42no—
1535C22—42no—
1536C22—41no—
1537C22—44no—
1538C22—44no—
1539C22—42no—
1540C22—44no—
1541C22—42no—
1542C22—42no—
1543C22—44no—
1544C22—42no—
1545C22—44no—
1546C22—44no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—44no—
1552C22—44no—
1553C22—41no—
1554C22—41no—
1555C22—44no—
1556C22—42no—
1557C22—42no—
1558C22—44no—
1559C22—41no—
1560C22—41no—
1561C22—42no—
1562C22—42no—
1563C22—44no—
1564C22—42no—
1565C22—44no—
1566C22—42no—
1567C22—44no—
1568C22—42no—
1569C22—44no—
1570C22—42no—
1571C22—168no—
1572C22C22×H(5,𝔽2)12yes—
1573C22C22×H(5,𝔽2)11yescharacteristic
1574C22C2×#58511yescharacteristic
1575C22C2×#58512yes—
1576C22H(7,𝔽2)11yescharacteristic
1577C4—28no—
1578C4—24no—
1579C4—24no—
1580C4—22no—
1581C4—42no—
1582C4—42no—
1583C4—41no—
1584C4—41no—
1585C4—42no—
1586C4—42no—
1587C4—44no—
1588C4—42no—
1589C4—42no—
1590C4—41no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—44no—
1598C4—44no—
1599C4#353714yes—
1600C2—81no—
1601C2—82no—
1602C2—82no—
1603C2—84no—
1604C2—84no—
1605C2—81no—
1606C2C2×#353711yescharacteristic
1607C2#6289911yescharacteristic
1608C2#6292312yes—
1609C2#6301912yes—
1610C2#6302411yescharacteristic
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. #59818C2semidirect
2. #59556C2semidirect
3. #59390C2semidirect
4. #59128C2semidirect
5. #59051C2semidirect
6. #58934C2semidirect
7. #58804C2semidirect
8. #58354C2semidirect
9. #55579C2semidirect
10. #53128C2semidirect
11. #52969C2semidirect
12. #52297C2semidirect
13. #47540C2semidirect
14. #46630C2semidirect
15. #45437C2semidirect
16. #45244C2semidirect
17. #44886C2semidirect
18. #43440C2semidirect
19. #42992C2semidirect
20. #42987C2semidirect
21. #42361C2semidirect
22. #41087C2semidirect
23. #40150C2semidirect
24. #40122C2semidirect
25. #39888C2semidirect
26. #39747C2semidirect
27. #39222C2semidirect
28. #36018C2semidirect
29. #36007C2semidirect
32. C2×#550C22semidirect
34. C2×#548C22semidirect
35. C2×#547C22semidirect
40. C2×#519C22semidirect
41. #2858C22semidirect
44. #2828C22semidirect
45. #2827C22semidirect
46. #2826C22semidirect
49. #2815C22semidirect
53. #2797C22semidirect
54. #2795C22semidirect
55. #2792C22semidirect
56. #2788C22semidirect
57. #2784C22semidirect
58. #2772C22semidirect
59. #2761C22semidirect
60. #2757C22semidirect
62. #2756C22semidirect
64. #2753C22semidirect
65. #2753C22semidirect
66. #2749C22semidirect
67. #2749C22semidirect
68. #2737C22semidirect
69. #2733C22semidirect
71. #2714C22semidirect
72. #2714C22semidirect
73. #2714C22semidirect
74. #2710C22semidirect
75. #2708C22semidirect
76. #2706C22semidirect
79. #2701C22semidirect
83. #2699C22semidirect
84. #2699C22semidirect
85. #2699C22semidirect
86. #2688C22semidirect
87. #2686C22semidirect
89. #2683C22semidirect
96. #2675C22semidirect
97. #2675C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2672C22semidirect
110. #2663C22semidirect
112. #2661C22semidirect
114. #2651C22semidirect
116. #2635C22semidirect
119. #2627C22semidirect
120. #2625C22semidirect
122. #2619C22semidirect
129. #2587C22semidirect
130. #2581C22semidirect
131. #2578C22semidirect
132. #2573C22semidirect
133. #2557C22semidirect
135. #2555C22semidirect
136. #2555C22semidirect
137. #2555C22semidirect
138. #2555C22semidirect
141. #2548C22semidirect
142. #2548C22semidirect
143. #2547C22semidirect
150. #2541C22semidirect
153. #2536C22semidirect
154. #2536C22semidirect
157. #2529C22semidirect
158. #2526C22semidirect
159. #2526C22semidirect
160. #2525C22semidirect
162. #2515C22semidirect
164. #2513C22semidirect
165. #2508C22semidirect
166. #2503C22semidirect
167. #2495C22semidirect
169. #2487C22semidirect
170. #2478C22semidirect
173. #2466C22semidirect
175. #2464C22semidirect
176. #2464C22semidirect
177. #2463C22semidirect
179. #2461C22semidirect
180. #2456C22semidirect
181. #2456C22semidirect
182. #2456C22semidirect
183. #2451C22semidirect
184. #2449C22semidirect
188. #2434C22semidirect
192. #2431C22semidirect
194. #2429C22semidirect
198. #2428C22semidirect
202. #2426C22semidirect
203. #2426C22semidirect
204. #2426C22semidirect
208. #2420C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2399C22semidirect
226. #2392C22semidirect
227. #2392C22semidirect
230. #2367C22semidirect
231. #2365C22semidirect
234. #2361C22semidirect
235. #2361C22semidirect
236. #2360C22semidirect
238. #2357C22semidirect
239. #2357C22semidirect
240. #2351C22semidirect
242. #2346C22semidirect
244. #2341C22semidirect
245. #2337C22semidirect
246. #2333C22semidirect
247. #2328C22semidirect
248. #2326C22semidirect
251. C4×#126C22semidirect
253. C4×C22⋊Q8C22semidirect
255. C4×#121C22semidirect
256. C4×#121C22semidirect
257. C4×#121C22semidirect
258. #2295C22semidirect

Maximal subgroups

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

subgroupindex
#598182
#595562
#593902
#591282
#590512
#589342
#588042
#583542
#555792
#531282
#529692
#522972
#475402
#466302
#454372
#452442
#448862
#434402
#429922
#429872
#423612
#410872
#401502
#401222
#398882
#397472
#392222
#360182
#360072