Finite Group Databasebeta

← #7658867

Subgroups — #7658867

Order 512.

5064 conjugacy classes of subgroups.

The subgroup lattice has 1556 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42981C211yesmaximal, characteristic, complemented
2#42971C211yesmaximal, characteristic, complemented
3#42963C212yesmaximal, complemented
4#42617C212yesmaximal, complemented
5#42611C212yesmaximal, complemented
6#42599C212yesmaximal, complemented
7#42593C212yesmaximal, complemented
8#42409C214yesmaximal, complemented
9#42057C212yesmaximal, complemented
10#42050C212yesmaximal, complemented
11#41307C214yesmaximal, complemented
12#41295C214yesmaximal, complemented
13#41157C214yesmaximal, complemented
14#41148C214yesmaximal, complemented
15#37587C214yesmaximal, complemented
16#37578C212yesmaximal, complemented
17#37513C211yesmaximal, characteristic, complemented
18#37493C212yesmaximal, complemented
19#36694C212yesmaximal, complemented
20#36670C211yesmaximal, characteristic, complemented
21#36083C212yesmaximal, complemented
22#35941C212yesmaximal, complemented
23#35897C212yesmaximal, complemented
24#35800C212yesmaximal, complemented
25#35768C212yesmaximal, complemented
26#35741C211yesmaximal, characteristic, complemented
27#35730C211yesmaximal, characteristic, complemented
28#34306C212yesmaximal, complemented
29#34275C211yesmaximal, characteristic, complemented
30C2×#555C2212yes—
31C2×#553C2212yescomplemented
32C2×#550C2211yescharacteristic
33C2×#547C2211yescharacteristic
34C2×#535C2211yescharacteristic
35C2×#520C2211yescharacteristic
36C2×#518C2211yescharacteristic
37#2844C2212yescomplemented
38#2833C2211yescharacteristic, complemented
39#2832C2211yescharacteristic, complemented
40#2832C2214yescomplemented
41#2832C2214yescomplemented
42#2832C2212yescomplemented
43#2831C2212yescomplemented
44#2830C2211yescharacteristic, complemented
45#2829C2214yes—
46#2829C2212yescomplemented
47#2828C2214yes—
48#2828C2211yescharacteristic, complemented
49#2828C2214yescomplemented
50#2828C2214yescomplemented
51#2828C2212yescomplemented
52#2827C2212yes—
53#2826C2212yes—
54#2825C2212yes—
55#2824C2212yes—
56#2819C2214yes—
57#2819C2212yescomplemented
58#2807C2212yes—
59#2788C2214yes—
60#2779C2214yescomplemented
61#2764C2214yescomplemented
62#2757C2214yescomplemented
63#2749C2214yescomplemented
64#2749C2214yescomplemented
65#2742C2212yes—
66#2737C2214yescomplemented
67#2712C2212yes—
68#2712C2214yescomplemented
69#2710C2214yescomplemented
70#2701C2214yescomplemented
71#2701C2214yescomplemented
72#2688C2214yescomplemented
73#2688C2214yescomplemented
74#2687C2214yescomplemented
75#2686C2214yescomplemented
76#2676C2214yes—
77#2675C2212yes—
78#2673C2214yescomplemented
79#2673C2214yescomplemented
80#2670C2214yes—
81#2670C2214yes—
82#2669C2214yes—
83#2669C2214yes—
84#2661C2214yes—
85#2661C2214yescomplemented
86#2661C2214yescomplemented
87#2657C2214yes—
88#2654C2214yescomplemented
89#2653C2214yescomplemented
90#2651C2214yescomplemented
91#2648C2214yes—
92#2648C2214yescomplemented
93#2648C2214yescomplemented
94#2648C2214yescomplemented
95#2647C2214yescomplemented
96#2644C2212yes—
97#2641C2212yes—
98#2638C2212yes—
99#2637C2214yescomplemented
100#2635C2212yes—
101#2635C2214yes—
102#2635C2214yescomplemented
103#2635C2214yescomplemented
104#2631C2214yes—
105#2630C2214yescomplemented
106#2630C2214yescomplemented
107#2628C2211yescharacteristic
108#2624C2212yes—
109#2622C2214yes—
110#2620C2214yescomplemented
111#2619C2214yes—
112#2619C2212yes—
113#2619C2211yescharacteristic
114#2617C2214yes—
115#2615C2212yes—
116#2612C2212yescomplemented
117#2610C2214yes—
118#2609C2212yescomplemented
119#2603C2214yes—
120#2602C2214yescomplemented
121#2597C2214yescomplemented
122#2584C2212yescomplemented
123#2580C2211yescharacteristic
124#2576C2214yescomplemented
125#2575C2214yescomplemented
126#2572C2212yescomplemented
127#2563C2211yescharacteristic
128#2561C2212yes—
129#2560C2214yescomplemented
130#2559C2214yescomplemented
131#2559C2214yescomplemented
132#2557C2214yescomplemented
133#2555C2212yescomplemented
134#2554C2214yescomplemented
135#2550C2212yescomplemented
136#2543C2214yescomplemented
137#2541C2212yes—
138#2541C2211yescharacteristic
139#2541C2212yes—
140#2539C2212yes—
141#2535C2214yes—
142#2535C2211yescharacteristic
143#2532C2214yescomplemented
144#2526C2214yescomplemented
145#2518C2214yescomplemented
146#2513C2212yes—
147#2509C2212yescomplemented
148#2509C2212yescomplemented
149#2504C2212yescomplemented
150#2495C2212yescomplemented
151#2491C2212yes—
152#2491C2212yes—
153#2491C2212yescomplemented
154#2490C2212yes—
155#2488C2214yescomplemented
156#2486C2212yescomplemented
157#2464C2214yes—
158#2464C2214yes—
159#2464C2214yescomplemented
160#2461C2214yescomplemented
161#2459C2214yescomplemented
162#2457C2214yes—
163#2457C2214yes—
164#2457C2214yescomplemented
165#2452C2212yescomplemented
166#2448C2214yescomplemented
167#2447C2214yescomplemented
168#2445C2212yes—
169#2445C2212yes—
170#2445C2214yescomplemented
171#2445C2214yescomplemented
172#2444C2214yescomplemented
173#2442C2212yes—
174#2442C2212yescomplemented
175#2439C2212yescomplemented
176#2433C2212yes—
177#2431C2214yescomplemented
178#2430C2214yescomplemented
179#2428C2212yes—
180#2428C2212yes—
181#2428C2212yes—
182#2428C2214yescomplemented
183#2428C2214yescomplemented
184#2428C2214yescomplemented
185#2428C2212yescomplemented
186#2428C2212yescomplemented
187#2427C2214yescomplemented
188#2426C2214yescomplemented
189#2424C2214yes—
190#2424C2214yes—
191#2420C2212yes—
192#2420C2212yescomplemented
193#2418C2214yes—
194#2418C2214yes—
195#2416C2212yes—
196#2416C2212yescomplemented
197#2414C2212yes—
198#2414C2212yes—
199#2414C2212yescomplemented
200#2408C2212yes—
201#2404C2212yes—
202#2404C2212yes—
203#2401C2212yescomplemented
204#2398C2214yescomplemented
205#2398C2212yescomplemented
206#2398C2214yescomplemented
207#2398C2214yescomplemented
208#2396C2211yescharacteristic
209#2395C2212yescomplemented
210#2392C2211yescharacteristic
211#2392C2212yescomplemented
212#2388C2212yes—
213#2388C2212yes—
214#2388C2212yes—
215#2388C2214yescomplemented
216#2388C2214yescomplemented
217#2372C2214yescomplemented
218#2367C2214yes—
219#2366C2212yes—
220#2365C2212yescomplemented
221#2364C2214yes—
222#2363C2212yes—
223#2363C2212yes—
224#2363C2212yes—
225#2363C2212yescomplemented
226#2361C2212yes—
227#2361C2212yes—
228#2361C2212yes—
229#2361C2212yescomplemented
230#2358C2214yes—
231#2358C2214yes—
232#2357C2211yescharacteristic
233#2357C2211yescharacteristic
234#2357C2212yescomplemented
235#2352C2212yes—
236#2352C2212yescomplemented
237#2347C2212yescomplemented
238#2346C2212yes—
239#2346C2212yescomplemented
240#2343C2214yescomplemented
241#2337C2214yes—
242#2333C2214yes—
243#2331C2212yescomplemented
244#2328C2212yes—
245#2326C2212yes—
246#2324C2212yescomplemented
247#2317C2211yescharacteristic
248C4×#127C2212yes—
249C4×#124C2212yes—
250C4×#124C2214yescomplemented
251C4×#121C2212yes—
252#2298C2214yescomplemented
253#2297C2211yescharacteristic
254C2×#390C2211yescharacteristic
255#2290C2212yes—
256#2275C2212yescomplemented
257#2274C2212yescomplemented
258C4×#117C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C22×#41C2312yes—
262C23×D4C2311yescharacteristic
263#555—216no—
264#553—48no—
265#550—44no—
266#547—44no—
267#535—28no—
268C2×C4⋊Q8C2312yes—
269C2×C4⋊Q8C2311yescharacteristic
270C2×#127C2312yes—
271C2×#127C2312yes—
272C2×#127C2311yescharacteristic
273C2×#127C2312yes—
274C2×#127C2314yes—
275C2×#127C2314yes—
276C2×#126C2314yes—
277C2×#125C2312yes—
278C2×#124C2312yes—
279C2×#124C2314yes—
280C2×#124C2314yes—
281C2×#124C2314yes—
282C2×#124C2314yes—
283C2×#124C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2314yes—
291C2×#121C2312yes—
292C2×#121C2314yes—
293C2×#121C2312yes—
294C2×#121C2312yes—
295C2×#121C2312yes—
296C2×#121C2312yes—
297C2×#121C2312yes—
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2314yes—
303C2×#121C2314yes—
304C2×#121C2314yes—
305C2×#121C2314yes—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#121C2314yes—
312C2×#120C2314yes—
313C2×#120C2314yes—
314C2×#120C2314yes—
315C2×#120C2314yes—
316#520—44no—
317#518—44no—
318C2×C4×Q8C2311yescharacteristic
319C2×C4×Q8C2312yes—
320C2×C4×Q8C2314yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2312yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2312yes—
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2312yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2314yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2314yes—
338C2×C4×D4C2314yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2314yes—
343C2×#117C2314yes—
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C2×#117C2312yes—
349C2×#117C2311yescharacteristic
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2312yes—
353C22×C22⋊C4C2312yes—
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2314yes—
356C22×C42C2311yescharacteristic
357#401C2312yes—
358#400C2312yes—
359#400C2312yes—
360#400C2312yes—
361#400C2312yes—
362#400C2312yes—
363#400C2312yes—
364#400C2312yes—
365#400C2314yes—
366#400C2311yescharacteristic
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#399C2311yescharacteristic
374#399C2312yes—
375#399C2314yes—
376#399C2312yes—
377#399C2312yes—
378#398C2312yes—
379#398C2312yes—
380#398C2314yes—
381#398C2312yes—
382#398C2311yescharacteristic
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#397C2314yes—
388#397C2311yescharacteristic
389#397C2312yes—
390#397C2312yes—
391#397C2312yes—
392#397C2312yes—
393#397C2312yes—
394#397C2312yes—
395#397C2312yes—
396#397C2312yes—
397#397C2312yes—
398#397C2312yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#396C2312yes—
412#396C2312yes—
413#396C2312yes—
414#396C2312yes—
415#396C2314yes—
416#396C2314yes—
417#396C2312yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#395C2311yescharacteristic
422#395C2312yes—
423#395C2314yes—
424#395C2312yes—
425#395C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2311yescharacteristic
432#394C2314yes—
433#394C2312yes—
434#394C2312yes—
435#394C2312yes—
436#394C2312yes—
437#394C2312yes—
438#394C2312yes—
439#394C2312yes—
440#394C2312yes—
441#394C2312yes—
442#394C2312yes—
443#394C2312yes—
444#394C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#393C2314yes—
470#393C2312yes—
471#393C2312yes—
472#393C2312yes—
473#393C2312yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2311yescharacteristic
480#393C2312yes—
481#393C2312yes—
482#393C2312yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2312yes—
490#392C2311yescharacteristic
491#392C2312yes—
492#392C2312yes—
493#392C2314yes—
494#392C2314yes—
495#392C2312yes—
496#392C2312yes—
497#392C2312yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2312yes—
505#392C2312yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2312yes—
511#392C2314yes—
512#392C2314yes—
513#391C2314yes—
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#390C2314yes—
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2314yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#387C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#386C2314yes—
607#386C2312yes—
608#386C2312yes—
609#386C2312yes—
610#386C2312yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#385C2312yes—
639#385C2312yes—
640#385C2312yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#384C2312yes—
652#383C2314yes—
653#383C2314yes—
654#382C2312yes—
655#382C2314yes—
656#382C2312yes—
657#382C2314yes—
658#382C2311yescharacteristic
659#382C2312yes—
660#382C2311yescharacteristic
661#381C2314yes—
662#381C2314yes—
663#381C2312yes—
664#381C2312yes—
665#381C2314yes—
666#381C2314yes—
667#380C2314yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2314yes—
674#380C2314yes—
675#379C2314yes—
676C4×C4⋊C4C2314yes—
677C4×C4⋊C4C2311yescharacteristic
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2311yescharacteristic
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713#376C2312yes—
714#376C2312yes—
715#376C2314yes—
716#376C2314yes—
717C2×#95C2314yes—
718C43C2312yes—
719C25C2412yes—
720C2×#41—24no—
721C2×#41—42no—
722C2×#41—42no—
723C2×#41—44no—
724C2×#41—44no—
725C2×#41—84no—
726C2×#41—84no—
727C22×Q8C2411yescharacteristic
728C22×Q8C2414yes—
729C22×Q8C2411yescharacteristic
730C22×Q8C2412yes—
731C22×D4—24no—
732C22×D4—42no—
733C22×D4—42no—
734C22×D4C2412yes—
735C22×D4C2411yescharacteristic
736C22×D4C2411yescharacteristic
737C22×D4C2412yes—
738C22×D4C2412yes—
739C22×D4C2411yescharacteristic
740C22×D4C2412yes—
741C22×D4C2414yes—
742C22×D4C2414yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2411yescharacteristic
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2412yes—
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2411yescharacteristic
762C23×C4C2412yes—
763C23×C4C2412yes—
764C23×C4C2414yes—
765C23×C4C2414yes—
766C23×C4C2414yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2412yes—
771C23×C4C2414yes—
772C23×C4C2414yes—
773C4⋊Q8—28no—
774C4⋊Q8—42no—
775#127—28no—
776#127—44no—
777#127—42no—
778#127—44no—
779#127—84no—
780#127—84no—
781#126—48no—
782#125—44no—
783#124—216no—
784#124—28no—
785#124—216no—
786#124—84no—
787#124—84no—
788#124—84no—
789#123—48no—
790#123—48no—
791#123—84no—
792#123—84no—
793#123—84no—
794C22⋊Q8—44no—
795C22⋊Q8—84no—
796#121—28no—
797#121—28no—
798#121—28no—
799#121—28no—
800#121—216no—
801#121—48no—
802#121—44no—
803#121—48no—
804#121—44no—
805#121—44no—
806#121—44no—
807#121—44no—
808#121—44no—
809#121—84no—
810#121—84no—
811#121—84no—
812#121—84no—
813#121—84no—
814#121—84no—
815#121—84no—
816#121—84no—
817#120—216no—
818#120—84no—
819#120—84no—
820#120—84no—
821C4×Q8—44no—
822C4×Q8—42no—
823C4×Q8—84no—
824C4×D4—28no—
825C4×D4—28no—
826C4×D4—24no—
827C4×D4—24no—
828C4×D4—28no—
829C4×D4—44no—
830C4×D4—44no—
831C4×D4—48no—
832C4×D4—44no—
833C4×D4—42no—
834C4×D4—42no—
835C4×D4—44no—
836C4×D4—44no—
837C4×D4—42no—
838C4×D4—48no—
839C4×D4—44no—
840C4×D4—84no—
841C4×D4—84no—
842C4×D4—84no—
843C4×D4—84no—
844C4×D4—84no—
845C4×D4—84no—
846#117—28no—
847#117—24no—
848#117—28no—
849#117—216no—
850#117—44no—
851#117—42no—
852#117#4118yescomplemented
853C2×C4⋊C4—28no—
854C2×C4⋊C4—44no—
855C2×C4⋊C4—42no—
856C2×C4⋊C4C2411yescharacteristic
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C22⋊C4—44no—
897C2×C22⋊C4—44no—
898C2×C22⋊C4—84no—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2411yescharacteristic
913C2×C22⋊C4C2411yescharacteristic
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C42—42no—
970C2×C42C2414yes—
971C2×C42C2412yes—
972C2×C42C2411yescharacteristic
973C2×C42C2414yes—
974C2×C42C2411yescharacteristic
975C2×C42C2412yes—
976C2×C42C2412yes—
977C2×C42C2412yes—
978C2×C42C2412yes—
979C2×C42C2414yes—
980C2×C42C2414yes—
981C2×C42C2414yes—
982C2×C42C2414yes—
983C2×C42C2414yes—
984C2×C42C2414yes—
985C2×C42C2414yes—
986C2×C42C2411yescharacteristic
987C2×C42C2411yescharacteristic
988C2×C42C2412yes—
989#95C2412yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2412yes—
994#95C2412yes—
995#95C2414yes—
996#95C2412yes—
997#95C2412yes—
998#95C2412yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2411yescharacteristic
1011#95C2411yescharacteristic
1012#95C2414yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2411yescharacteristic
1036#95C2412yes—
1037#95C2411yescharacteristic
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2412yes—
1045C24—24no—
1046C24—42no—
1047C24—42no—
1048C24—44no—
1049C24—44no—
1050C24C2512yes—
1051C24C2512yes—
1052C24C2514yes—
1053C24C2512yes—
1054C24C2512yes—
1055C24C2511yescharacteristic
1056#41—416no—
1057#41—816no—
1058#41—816no—
1059C2×Q8—22no—
1060C2×Q8—28no—
1061C2×Q8—41no—
1062C2×Q8—41no—
1063C2×Q8—41no—
1064C2×Q8—42no—
1065C2×Q8—44no—
1066C2×Q8—42no—
1067C2×Q8—44no—
1068C2×Q8—44no—
1069C2×D4—24no—
1070C2×D4—24no—
1071C2×D4—28no—
1072C2×D4—24no—
1073C2×D4—22no—
1074C2×D4—22no—
1075C2×D4—24no—
1076C2×D4—22no—
1077C2×D4—28no—
1078C2×D4—28no—
1079C2×D4—28no—
1080C2×D4—22no—
1081C2×D4—22no—
1082C2×D4—24no—
1083C2×D4—24no—
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—42no—
1087C2×D4—41no—
1088C2×D4—42no—
1089C2×D4—41no—
1090C2×D4—42no—
1091C2×D4—41no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—416no—
1095C2×D4—42no—
1096C2×D4—44no—
1097C2×D4—42no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—42no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—42no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—42no—
1115C2×D4—44no—
1116C2×D4—42no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—42no—
1124C2×D4—44no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—42no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—28no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—28no—
1154C22×C4—28no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—42no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4C2×#4114yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2514yes—
1183C22×C4C2512yes—
1184C22×C4C2511yescharacteristic
1185C22×C4C2511yescharacteristic
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2514yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2514yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2514yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C4⋊C4—24no—
1203C4⋊C4—24no—
1204C4⋊C4—28no—
1205C4⋊C4—24no—
1206C4⋊C4—28no—
1207C4⋊C4—22no—
1208C4⋊C4—24no—
1209C4⋊C4—24no—
1210C4⋊C4—42no—
1211C4⋊C4—44no—
1212C4⋊C4—42no—
1213C4⋊C4—42no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—42no—
1217C4⋊C4—41no—
1218C4⋊C4—44no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—42no—
1227C4⋊C4—41no—
1228C4⋊C4—42no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—42no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—44no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4C2×#4118yes—
1241C4⋊C4H(5,𝔽2)14yes—
1242C22⋊C4—24no—
1243C22⋊C4—28no—
1244C22⋊C4—28no—
1245C22⋊C4—28no—
1246C22⋊C4—28no—
1247C22⋊C4—24no—
1248C22⋊C4—28no—
1249C22⋊C4—28no—
1250C22⋊C4—24no—
1251C22⋊C4—24no—
1252C22⋊C4—24no—
1253C22⋊C4—28no—
1254C22⋊C4—28no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—44no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—44no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—44no—
1276C22⋊C4—42no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—44no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—44no—
1298C22⋊C4—42no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4C2×#4118yes—
1312C42—28no—
1313C42—24no—
1314C42—24no—
1315C42—28no—
1316C42—22no—
1317C42—22no—
1318C42—24no—
1319C42—24no—
1320C42—24no—
1321C42—41no—
1322C42—41no—
1323C42—44no—
1324C42—44no—
1325C42—44no—
1326C42—44no—
1327C42—44no—
1328C42—44no—
1329C42—44no—
1330C42C2×#4118yes—
1331C23—21no—
1332C23—21no—
1333C23—22no—
1334C23—22no—
1335C23—24no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—24no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—24no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—24no—
1353C23—22no—
1354C23—24no—
1355C23—24no—
1356C23—24no—
1357C23—24no—
1358C23—24no—
1359C23—22no—
1360C23—22no—
1361C23—24no—
1362C23—22no—
1363C23—22no—
1364C23—24no—
1365C23—22no—
1366C23—48no—
1367C23—88no—
1368C23—162no—
1369C23—164no—
1370C23—162no—
1371C23C22×#4112yes—
1372C23C2611yescharacteristic
1373Q8—44no—
1374Q8—44no—
1375Q8—88no—
1376Q8—84no—
1377D4—48no—
1378D4—44no—
1379D4—48no—
1380D4—44no—
1381D4—48no—
1382D4—44no—
1383D4—44no—
1384D4—88no—
1385D4—88no—
1386D4—88no—
1387D4—84no—
1388D4—88no—
1389D4—88no—
1390D4—88no—
1391D4—84no—
1392D4—88no—
1393D4—84no—
1394D4—84no—
1395D4—88no—
1396D4—88no—
1397D4—164no—
1398D4—164no—
1399D4—164no—
1400D4—162no—
1401D4—164no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—24no—
1407C2×C4—28no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—24no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—24no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—24no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—48no—
1461C2×C4—48no—
1462C2×C4—88no—
1463C2×C4—84no—
1464C2×C4—88no—
1465C2×C4—84no—
1466C2×C4—88no—
1467C2×C4—84no—
1468C2×C4—164no—
1469C2×C4—162no—
1470C2×C4—164no—
1471C2×C4—162no—
1472C2×C4—162no—
1473C2×C4C22×#4118yes—
1474C2×C4C22×#4112yes—
1475C2×C4C22×#4112yes—
1476C2×C4C2×H(5,𝔽2)14yes—
1477C2×C4C2×H(5,𝔽2)12yes—
1478C2×C4#58512yes—
1479C22—24no—
1480C22—22no—
1481C22—41no—
1482C22—42no—
1483C22—41no—
1484C22—42no—
1485C22—44no—
1486C22—42no—
1487C22—42no—
1488C22—42no—
1489C22—44no—
1490C22—42no—
1491C22—42no—
1492C22—44no—
1493C22—44no—
1494C22—42no—
1495C22—44no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—44no—
1502C22—44no—
1503C22—42no—
1504C22—42no—
1505C22—42no—
1506C22—44no—
1507C22—42no—
1508C22—44no—
1509C22—44no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—44no—
1515C22—168no—
1516C22C23×#4111yescharacteristic
1517C22C22×H(5,𝔽2)11yescharacteristic
1518C22C2×#58511yescharacteristic
1519C22H(7,𝔽2)12yes—
1520C22H(7,𝔽2)12yes—
1521C4—24no—
1522C4—28no—
1523C4—22no—
1524C4—41no—
1525C4—41no—
1526C4—42no—
1527C4—44no—
1528C4—42no—
1529C4—42no—
1530C4—44no—
1531C4—42no—
1532C4—42no—
1533C4—41no—
1534C4—42no—
1535C4—44no—
1536C4—41no—
1537C4—42no—
1538C4—42no—
1539C4—44no—
1540C4—42no—
1541C4—42no—
1542C4—42no—
1543C4#346014yes—
1544C2—42no—
1545C2—82no—
1546C2—84no—
1547C2—82no—
1548C2—82no—
1549C2—82no—
1550C2C2×#346011yescharacteristic
1551C2#6285812yes—
1552C2#6304511yescharacteristic
1553C2#6305112yes—
1554C2#6306611yescharacteristic
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. #42981C2semidirect
2. #42971C2semidirect
3. #42963C2semidirect
4. #42617C2semidirect
5. #42611C2semidirect
6. #42599C2semidirect
7. #42593C2semidirect
8. #42409C2semidirect
9. #42057C2semidirect
10. #42050C2semidirect
11. #41307C2semidirect
12. #41295C2semidirect
13. #41157C2semidirect
14. #41148C2semidirect
15. #37587C2semidirect
16. #37578C2semidirect
17. #37513C2semidirect
18. #37493C2semidirect
19. #36694C2semidirect
20. #36670C2semidirect
21. #36083C2semidirect
22. #35941C2semidirect
23. #35897C2semidirect
24. #35800C2semidirect
25. #35768C2semidirect
26. #35741C2semidirect
27. #35730C2semidirect
28. #34306C2semidirect
29. #34275C2semidirect
31. C2×#553C22semidirect
37. #2844C22semidirect
38. #2833C22semidirect
39. #2832C22semidirect
40. #2832C22semidirect
41. #2832C22semidirect
42. #2832C22semidirect
43. #2831C22semidirect
44. #2830C22semidirect
46. #2829C22semidirect
48. #2828C22semidirect
49. #2828C22semidirect
50. #2828C22semidirect
51. #2828C22semidirect
57. #2819C22semidirect
60. #2779C22semidirect
61. #2764C22semidirect
62. #2757C22semidirect
63. #2749C22semidirect
64. #2749C22semidirect
66. #2737C22semidirect
68. #2712C22semidirect
69. #2710C22semidirect
70. #2701C22semidirect
71. #2701C22semidirect
72. #2688C22semidirect
73. #2688C22semidirect
74. #2687C22semidirect
75. #2686C22semidirect
78. #2673C22semidirect
79. #2673C22semidirect
85. #2661C22semidirect
86. #2661C22semidirect
88. #2654C22semidirect
89. #2653C22semidirect
90. #2651C22semidirect
92. #2648C22semidirect
93. #2648C22semidirect
94. #2648C22semidirect
95. #2647C22semidirect
99. #2637C22semidirect
102. #2635C22semidirect
103. #2635C22semidirect
105. #2630C22semidirect
106. #2630C22semidirect
110. #2620C22semidirect
116. #2612C22semidirect
118. #2609C22semidirect
120. #2602C22semidirect
121. #2597C22semidirect
122. #2584C22semidirect
124. #2576C22semidirect
125. #2575C22semidirect
126. #2572C22semidirect
129. #2560C22semidirect
130. #2559C22semidirect
131. #2559C22semidirect
132. #2557C22semidirect
133. #2555C22semidirect
134. #2554C22semidirect
135. #2550C22semidirect
136. #2543C22semidirect
143. #2532C22semidirect
144. #2526C22semidirect
145. #2518C22semidirect
147. #2509C22semidirect
148. #2509C22semidirect
149. #2504C22semidirect
150. #2495C22semidirect
153. #2491C22semidirect
155. #2488C22semidirect
156. #2486C22semidirect
159. #2464C22semidirect
160. #2461C22semidirect
161. #2459C22semidirect
164. #2457C22semidirect
165. #2452C22semidirect
166. #2448C22semidirect
167. #2447C22semidirect
170. #2445C22semidirect
171. #2445C22semidirect
172. #2444C22semidirect
174. #2442C22semidirect
175. #2439C22semidirect
177. #2431C22semidirect
178. #2430C22semidirect
182. #2428C22semidirect
183. #2428C22semidirect
184. #2428C22semidirect
185. #2428C22semidirect
186. #2428C22semidirect
187. #2427C22semidirect
188. #2426C22semidirect
192. #2420C22semidirect
196. #2416C22semidirect
199. #2414C22semidirect
203. #2401C22semidirect
204. #2398C22semidirect
205. #2398C22semidirect
206. #2398C22semidirect
207. #2398C22semidirect
209. #2395C22semidirect
211. #2392C22semidirect
215. #2388C22semidirect
216. #2388C22semidirect
217. #2372C22semidirect
220. #2365C22semidirect
225. #2363C22semidirect
229. #2361C22semidirect
234. #2357C22semidirect
236. #2352C22semidirect
237. #2347C22semidirect
239. #2346C22semidirect
240. #2343C22semidirect
243. #2331C22semidirect
246. #2324C22semidirect
250. C4×#124C22semidirect
252. #2298C22semidirect
256. #2275C22semidirect
257. #2274C22semidirect
852. #117#41semidirect

Maximal subgroups

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

subgroupindex
#429812
#429712
#429632
#426172
#426112
#425992
#425932
#424092
#420572
#420502
#413072
#412952
#411572
#411482
#375872
#375782
#375132
#374932
#366942
#366702
#360832
#359412
#358972
#358002
#357682
#357412
#357302
#343062
#342752