Finite Group Databasebeta

← #8746540

Subgroups — #8746540

Order 512.

5001 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#59893C212yesmaximal, complemented
2#59843C211yesmaximal, characteristic, complemented
3#55683C214yesmaximal, complemented
4#55224C214yesmaximal, complemented
5#54022C214yesmaximal, complemented
6#53878C212yesmaximal, complemented
7#53609C214yesmaximal, complemented
8#52973C212yesmaximal, complemented
9#52969C211yesmaximal, characteristic, complemented
10#52762C212yesmaximal, complemented
11#52632C214yesmaximal, complemented
12#47800C212yesmaximal, complemented
13#45421C212yesmaximal, complemented
14#45315C211yesmaximal, characteristic, complemented
15#45038C212yesmaximal, complemented
16#45026C212yesmaximal, complemented
17#44957C212yesmaximal, complemented
18#42969C211yesmaximal, characteristic, complemented
19#42895C212yesmaximal, complemented
20#42589C212yesmaximal, complemented
21#42540C212yesmaximal, complemented
22#42524C212yesmaximal, complemented
23#42222C212yesmaximal, complemented
24#41958C214yesmaximal, complemented
25#39745C211yesmaximal, characteristic, complemented
26#39386C212yesmaximal, complemented
27#36698C211yesmaximal, characteristic, complemented
28#36076C211yesmaximal, characteristic, complemented
29#35844C212yesmaximal, complemented
30C2×#559C2212yes—
31C2×#559C2211yescharacteristic, complemented
32C2×#551C2212yes—
33C2×#550C2211yescharacteristic
34C2×#540C2214yescomplemented
35C2×#535C2211yescharacteristic
36C2×#520C2211yescharacteristic, complemented
37#2867C2211yescharacteristic, complemented
38#2844C2211yescharacteristic, complemented
39#2838C2212yes—
40#2838C2212yescomplemented
41#2836C2212yes—
42#2836C2212yescomplemented
43#2833C2211yescharacteristic, complemented
44#2833C2211yescharacteristic, complemented
45#2830C2212yes—
46#2829C2214yescomplemented
47#2829C2214yescomplemented
48#2828C2212yes—
49#2828C2214yescomplemented
50#2827C2214yescomplemented
51#2826C2214yescomplemented
52#2825C2214yes—
53#2822C2211yescharacteristic, complemented
54#2820C2212yes—
55#2815C2214yes—
56#2815C2212yes—
57#2813C2214yescomplemented
58#2813C2214yescomplemented
59#2812C2212yes—
60#2797C2214yes—
61#2797C2214yes—
62#2778C2214yescomplemented
63#2778C2214yescomplemented
64#2777C2214yescomplemented
65#2773C2214yescomplemented
66#2753C2214yescomplemented
67#2752C2212yescomplemented
68#2749C2214yes—
69#2743C2214yescomplemented
70#2743C2214yescomplemented
71#2728C2212yes—
72#2724C2212yescomplemented
73#2723C2214yescomplemented
74#2714C2214yescomplemented
75#2708C2214yescomplemented
76#2708C2214yescomplemented
77#2708C2214yescomplemented
78#2706C2214yescomplemented
79#2706C2214yescomplemented
80#2705C2214yes—
81#2705C2214yes—
82#2703C2214yes—
83#2703C2214yes—
84#2701C2214yescomplemented
85#2699C2212yes—
86#2697C2212yes—
87#2691C2214yes—
88#2691C2214yescomplemented
89#2688C2214yes—
90#2688C2214yescomplemented
91#2686C2214yescomplemented
92#2682C2214yescomplemented
93#2682C2214yescomplemented
94#2678C2214yes—
95#2678C2214yes—
96#2676C2214yescomplemented
97#2673C2214yes—
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2672C2214yescomplemented
104#2672C2214yescomplemented
105#2672C2214yescomplemented
106#2672C2214yescomplemented
107#2671C2214yes—
108#2670C2214yes—
109#2669C2214yes—
110#2669C2214yes—
111#2668C2212yes—
112#2668C2214yes—
113#2668C2214yes—
114#2662C2214yescomplemented
115#2661C2214yescomplemented
116#2657C2212yes—
117#2656C2212yes—
118#2648C2214yescomplemented
119#2641C2212yes—
120#2639C2214yes—
121#2636C2214yes—
122#2635C2214yes—
123#2635C2212yes—
124#2631C2214yescomplemented
125#2630C2214yescomplemented
126#2624C2212yes—
127#2624C2211yescharacteristic
128#2624C2211yescharacteristic, complemented
129#2619C2212yes—
130#2619C2214yescomplemented
131#2617C2214yes—
132#2611C2214yescomplemented
133#2610C2214yescomplemented
134#2609C2212yes—
135#2603C2214yes—
136#2600C2212yescomplemented
137#2598C2214yescomplemented
138#2596C2214yescomplemented
139#2593C2212yescomplemented
140#2580C2212yescomplemented
141#2566C2212yescomplemented
142#2559C2214yescomplemented
143#2555C2214yes—
144#2548C2212yes—
145#2548C2212yes—
146#2548C2211yescharacteristic, complemented
147#2544C2212yescomplemented
148#2543C2212yes—
149#2543C2214yescomplemented
150#2541C2211yescharacteristic
151#2541C2212yes—
152#2541C2212yes—
153#2541C2212yes—
154#2541C2212yes—
155#2541C2212yes—
156#2541C2212yes—
157#2541C2212yes—
158#2539C2214yes—
159#2538C2212yes—
160#2538C2212yescomplemented
161#2535C2214yescomplemented
162#2530C2214yescomplemented
163#2526C2214yescomplemented
164#2525C2214yescomplemented
165#2517C2214yescomplemented
166#2513C2212yes—
167#2513C2212yes—
168#2512C2212yescomplemented
169#2510C2214yescomplemented
170#2509C2212yescomplemented
171#2508C2212yescomplemented
172#2504C2212yes—
173#2504C2211yescharacteristic, complemented
174#2496C2212yes—
175#2490C2212yes—
176#2490C2212yescomplemented
177#2486C2211yescharacteristic
178#2486C2212yescomplemented
179#2480C2214yes—
180#2464C2214yes—
181#2461C2214yescomplemented
182#2461C2214yescomplemented
183#2461C2214yescomplemented
184#2457C2214yes—
185#2456C2214yescomplemented
186#2456C2214yescomplemented
187#2456C2214yescomplemented
188#2454C2212yes—
189#2453C2212yescomplemented
190#2448C2212yes—
191#2448C2212yes—
192#2448C2212yescomplemented
193#2445C2214yes—
194#2445C2212yes—
195#2445C2212yes—
196#2445C2214yes—
197#2445C2212yescomplemented
198#2445C2212yescomplemented
199#2445C2212yescomplemented
200#2445C2212yescomplemented
201#2444C2214yescomplemented
202#2443C2214yescomplemented
203#2443C2214yescomplemented
204#2433C2211yescharacteristic
205#2433C2212yes—
206#2431C2212yes—
207#2431C2212yes—
208#2431C2212yescomplemented
209#2428C2212yes—
210#2428C2212yes—
211#2428C2212yes—
212#2428C2214yescomplemented
213#2428C2212yescomplemented
214#2428C2214yescomplemented
215#2425C2214yescomplemented
216#2425C2214yescomplemented
217#2424C2214yes—
218#2424C2214yes—
219#2422C2212yes—
220#2420C2212yes—
221#2420C2212yes—
222#2420C2214yescomplemented
223#2419C2214yescomplemented
224#2419C2214yescomplemented
225#2408C2211yescharacteristic
226#2401C2212yes—
227#2401C2212yescomplemented
228#2399C2212yescomplemented
229#2397C2214yescomplemented
230#2396C2212yes—
231#2396C2212yescomplemented
232#2395C2211yescharacteristic
233#2395C2211yescharacteristic
234#2395C2212yescomplemented
235#2370C2212yescomplemented
236#2367C2212yes—
237#2366C2212yes—
238#2366C2212yescomplemented
239#2366C2212yescomplemented
240#2361C2212yes—
241#2361C2212yescomplemented
242#2356C2212yescomplemented
243#2351C2212yescomplemented
244#2349C2212yescomplemented
245#2346C2214yescomplemented
246#2341C2212yes—
247#2341C2211yescharacteristic, complemented
248#2339C2211yescharacteristic
249D4×C22⋊C4C2212yes—
250#2328C2212yes—
251#2328C2212yescomplemented
252#2326C2212yescomplemented
253#2324C2212yes—
254#2319C2212yescomplemented
255C4×#125C2212yescomplemented
256C4×#124C2211yescharacteristic
257#2295C2211yescharacteristic, complemented
258#2293C2212yes—
259C22×#41C2311yescharacteristic
260C22×#41C2311yescharacteristic
261C23×D4C2311yescharacteristic
262#559—48no—
263#559—44no—
264#551—48no—
265#550—44no—
266#540—416no—
267#535—44no—
268C2×#127C2312yes—
269C2×#127C2312yes—
270C2×#127C2312yes—
271C2×#127C2312yes—
272C2×#127C2311yescharacteristic
273C2×#127C2311yescharacteristic
274C2×#127C2312yes—
275C2×#127C2312yes—
276C2×#127C2312yes—
277C2×#127C2312yes—
278C2×#127C2314yes—
279C2×#127C2312yes—
280C2×#127C2312yes—
281C2×#126C2314yes—
282C2×#126C2314yes—
283C2×#125C2312yes—
284C2×#125C2312yes—
285C2×#124C2311yescharacteristic
286C2×#124C2312yes—
287C2×#124C2312yes—
288C2×#124C2314yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2312yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2314yes—
309C2×#121C2312yes—
310C2×#121C2311yescharacteristic
311C2×#121C2311yescharacteristic
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2314yes—
315C2×#121C2314yes—
316C2×#121C2312yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#120C2312yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335#520—44no—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×#117C2314yes—
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2312yes—
364C22×C22⋊C4C2314yes—
365#401C2312yes—
366#401C2312yes—
367#400C2312yes—
368#400C2312yes—
369#400C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2311yescharacteristic
373#400C2314yes—
374#400C2312yes—
375#400C2312yes—
376#400C2312yes—
377#400C2311yescharacteristic
378#400C2312yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#399C2312yes—
383#399C2312yes—
384#399C2312yes—
385#399C2314yes—
386#399C2314yes—
387#399C2311yescharacteristic
388#399C2311yescharacteristic
389#399C2314yes—
390#399C2312yes—
391#399C2314yes—
392#399C2314yes—
393#398C2312yes—
394#398C2311yescharacteristic
395#398C2311yescharacteristic
396#398C2312yes—
397#398C2312yes—
398#398C2312yes—
399#398C2314yes—
400#398C2312yes—
401#398C2312yes—
402#398C2312yes—
403#398C2312yes—
404#398C2312yes—
405#398C2314yes—
406#397C2312yes—
407#397C2312yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2312yes—
414#397C2314yes—
415#397C2312yes—
416#397C2314yes—
417#397C2312yes—
418#397C2314yes—
419#397C2312yes—
420#397C2312yes—
421#397C2312yes—
422#397C2311yescharacteristic
423#397C2312yes—
424#397C2311yescharacteristic
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#396C2312yes—
436#396C2312yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2312yes—
448#396C2314yes—
449#395C2312yes—
450#395C2312yes—
451#395C2312yes—
452#395C2312yes—
453#395C2312yes—
454#395C2312yes—
455#394C2312yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#393C2312yes—
493#393C2312yes—
494#393C2314yes—
495#392C2312yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2312yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2312yes—
520#392C2314yes—
521#392C2312yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
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#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#384C2312yes—
664#383C2314yes—
665#382C2312yes—
666#382C2312yes—
667#382C2311yescharacteristic
668#382C2312yes—
669#382C2314yes—
670#382C2314yes—
671#381C2314yes—
672#381C2312yes—
673#381C2312yes—
674#381C2314yes—
675#381C2314yes—
676#380C2314yes—
677#380C2312yes—
678#380C2311yescharacteristic
679#380C2314yes—
680#380C2312yes—
681#380C2311yescharacteristic
682#380C2314yes—
683#380C2314yes—
684#380C2314yes—
685#380C2314yes—
686#379C2314yes—
687#379C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2311yescharacteristic
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2311yescharacteristic
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713#376C2312yes—
714#376C2312yes—
715#376C2314yes—
716C2×#95C2312yes—
717C2×#95C2314yes—
718C43C2311yescharacteristic
719C25C2412yes—
720C2×#41—24no—
721C2×#41—24no—
722C2×#41—44no—
723C2×#41—44no—
724C22×Q8C2411yescharacteristic
725C22×Q8C2411yescharacteristic
726C22×Q8C2412yes—
727C22×D4—42no—
728C22×D4—44no—
729C22×D4C2412yes—
730C22×D4C2412yes—
731C22×D4C2411yescharacteristic
732C22×D4C2411yescharacteristic
733C22×D4C2412yes—
734C22×D4C2411yescharacteristic
735C22×D4C2414yes—
736C22×D4C2414yes—
737C22×D4C2412yes—
738C22×D4C2412yes—
739C22×D4C2412yes—
740C22×D4C2414yes—
741C22×D4C2414yes—
742C22×D4C2414yes—
743C22×D4C2414yes—
744C22×D4C2412yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2412yes—
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C23×C4C2414yes—
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2414yes—
764C23×C4C2412yes—
765C23×C4C2414yes—
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2414yes—
769C23×C4C2414yes—
770#127—28no—
771#127—44no—
772#127—44no—
773#127—44no—
774#127—44no—
775#127—44no—
776#127—44no—
777#127—42no—
778#127—44no—
779#127—42no—
780#127—82no—
781#127—84no—
782#127—82no—
783#126—48no—
784#126—84no—
785#125—28no—
786#125—44no—
787#124—28no—
788#124—28no—
789#124—24no—
790#124—48no—
791#124—44no—
792#124—84no—
793#124—82no—
794#123—48no—
795#123—48no—
796#123—48no—
797#123—48no—
798#123—48no—
799#123—48no—
800#123—48no—
801#123—48no—
802#123—44no—
803#123—84no—
804#123—84no—
805C22⋊Q8—48no—
806C22⋊Q8—84no—
807#121—44no—
808#121—44no—
809#121—48no—
810#121—48no—
811#121—48no—
812#121—48no—
813#121—44no—
814#121—44no—
815#121—44no—
816#121—48no—
817#121—48no—
818#121—42no—
819#121—42no—
820#121—44no—
821#121—44no—
822#121—84no—
823#121—84no—
824#121—84no—
825#121—84no—
826#121—84no—
827#121—84no—
828#121—84no—
829#121—84no—
830#121—84no—
831#121—84no—
832#120—48no—
833#120—44no—
834#120—84no—
835#120—84no—
836#120—84no—
837C4×Q8—28no—
838C4×Q8—24no—
839C4×Q8—44no—
840C4×Q8—42no—
841C4×Q8—44no—
842C4×D4—48no—
843C4×D4—48no—
844C4×D4—44no—
845C4×D4—44no—
846C4×D4—44no—
847C4×D4—44no—
848C4×D4—48no—
849C4×D4—44no—
850C4×D4—48no—
851C4×D4—48no—
852C4×D4—44no—
853C4×D4—44no—
854C4×D4—44no—
855C4×D4—44no—
856C4×D4—42no—
857C4×D4—84no—
858C4×D4—84no—
859#117—216no—
860#117—44no—
861#117—42no—
862#117—42no—
863C2×C4⋊C4—42no—
864C2×C4⋊C4—44no—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C22⋊C4—48no—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2411yescharacteristic
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2411yescharacteristic
931C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
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⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C42C2414yes—
979C2×C42C2414yes—
980C2×C42C2412yes—
981C2×C42C2412yes—
982C2×C42C2412yes—
983C2×C42C2412yes—
984C2×C42C2411yescharacteristic
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2412yes—
988C2×C42C2414yes—
989C2×C42C2414yes—
990C2×C42C2414yes—
991C2×C42C2412yes—
992C2×C42C2412yes—
993C2×C42C2411yescharacteristic
994C2×C42C2411yescharacteristic
995#95C2411yescharacteristic
996#95C2412yes—
997#95C2412yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2414yes—
1006#95C2412yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2411yescharacteristic
1013#95C2412yes—
1014#95C2412yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2411yescharacteristic
1018#95C2414yes—
1019#95C2411yescharacteristic
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050C24—42no—
1051C24—44no—
1052C24—42no—
1053C24—44no—
1054C24—42no—
1055C24C2511yescharacteristic
1056C24C2514yes—
1057C24C2514yes—
1058C24C2511yescharacteristic
1059C24C2512yes—
1060C24C2512yes—
1061#41—416no—
1062#41—88no—
1063C2×Q8—22no—
1064C2×Q8—24no—
1065C2×Q8—41no—
1066C2×Q8—42no—
1067C2×Q8—42no—
1068C2×Q8—41no—
1069C2×Q8—42no—
1070C2×Q8H(5,𝔽2)14yes—
1071C2×D4—24no—
1072C2×D4—22no—
1073C2×D4—24no—
1074C2×D4—24no—
1075C2×D4—22no—
1076C2×D4—28no—
1077C2×D4—28no—
1078C2×D4—24no—
1079C2×D4—22no—
1080C2×D4—24no—
1081C2×D4—24no—
1082C2×D4—24no—
1083C2×D4—24no—
1084C2×D4—24no—
1085C2×D4—24no—
1086C2×D4—24no—
1087C2×D4—24no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—42no—
1091C2×D4—44no—
1092C2×D4—41no—
1093C2×D4—42no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—42no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—42no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—41no—
1111C2×D4—42no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—44no—
1131C2×D4—44no—
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—
1142C2×D4—42no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—88no—
1150C22×C4—24no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—28no—
1156C22×C4—24no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—42no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—42no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—42no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4C2511yescharacteristic
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2514yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2514yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2514yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C4⋊C4—24no—
1206C4⋊C4—28no—
1207C4⋊C4—28no—
1208C4⋊C4—28no—
1209C4⋊C4—22no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—24no—
1220C4⋊C4—42no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—42no—
1228C4⋊C4—44no—
1229C4⋊C4—42no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C22⋊C4—24no—
1253C22⋊C4—28no—
1254C22⋊C4—28no—
1255C22⋊C4—24no—
1256C22⋊C4—28no—
1257C22⋊C4—28no—
1258C22⋊C4—28no—
1259C22⋊C4—28no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—42no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—42no—
1301C22⋊C4—44no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C42—28no—
1318C42—28no—
1319C42—24no—
1320C42—24no—
1321C42—24no—
1322C42—24no—
1323C42—22no—
1324C42—24no—
1325C42—24no—
1326C42—24no—
1327C42—44no—
1328C42—44no—
1329C42—44no—
1330C42—42no—
1331C42—41no—
1332C42—42no—
1333C42H(5,𝔽2)14yes—
1334C23—21no—
1335C23—24no—
1336C23—21no—
1337C23—24no—
1338C23—24no—
1339C23—22no—
1340C23—24no—
1341C23—22no—
1342C23—22no—
1343C23—21no—
1344C23—21no—
1345C23—22no—
1346C23—24no—
1347C23—24no—
1348C23—24no—
1349C23—24no—
1350C23—22no—
1351C23—22no—
1352C23—24no—
1353C23—24no—
1354C23—22no—
1355C23—24no—
1356C23—24no—
1357C23—22no—
1358C23—24no—
1359C23—22no—
1360C23—21no—
1361C23—22no—
1362C23—24no—
1363C23—24no—
1364C23—24no—
1365C23—21no—
1366C23—24no—
1367C23—24no—
1368C23—84no—
1369C23—88no—
1370C23—164no—
1371C23—162no—
1372C23—162no—
1373C23C2611yescharacteristic
1374Q8—28no—
1375Q8—82no—
1376Q8—84no—
1377D4—48no—
1378D4—48no—
1379D4—48no—
1380D4—44no—
1381D4—44no—
1382D4—84no—
1383D4—82no—
1384D4—84no—
1385D4—88no—
1386D4—88no—
1387D4—84no—
1388D4—88no—
1389D4—88no—
1390D4—88no—
1391D4—88no—
1392D4—84no—
1393D4—164no—
1394D4—164no—
1395D4—164no—
1396D4—164no—
1397D4—162no—
1398D4—162no—
1399D4—162no—
1400D4—162no—
1401D4—164no—
1402D4—164no—
1403D4—164no—
1404D4—164no—
1405D4—164no—
1406C2×C4—21no—
1407C2×C4—22no—
1408C2×C4—24no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—24no—
1418C2×C4—22no—
1419C2×C4—24no—
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—21no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—48no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—88no—
1468C2×C4—84no—
1469C2×C4—164no—
1470C2×C4—162no—
1471C2×C4—164no—
1472C2×C4—164no—
1473C2×C4—164no—
1474C2×C4—164no—
1475C2×C4—164no—
1476C2×C4C2×H(5,𝔽2)14yes—
1477C2×C4C2×H(5,𝔽2)14yes—
1478C2×C4C2×H(5,𝔽2)12yes—
1479C2×C4C2×H(5,𝔽2)12yes—
1480C2×C4#58514yes—
1481C22—42no—
1482C22—41no—
1483C22—41no—
1484C22—42no—
1485C22—44no—
1486C22—44no—
1487C22—42no—
1488C22—44no—
1489C22—44no—
1490C22—44no—
1491C22—44no—
1492C22—42no—
1493C22—44no—
1494C22—44no—
1495C22—44no—
1496C22—44no—
1497C22—42no—
1498C22—41no—
1499C22—42no—
1500C22—41no—
1501C22—41no—
1502C22—42no—
1503C22—44no—
1504C22—44no—
1505C22—42no—
1506C22—41no—
1507C22—44no—
1508C22—44no—
1509C22—44no—
1510C22—42no—
1511C22—44no—
1512C22—44no—
1513C22—44no—
1514C22—42no—
1515C22—168no—
1516C22C22×H(5,𝔽2)11yescharacteristic
1517C22C22×H(5,𝔽2)11yescharacteristic
1518C22C2×#58512yes—
1519C22H(7,𝔽2)11yescharacteristic
1520C22H(7,𝔽2)12yes—
1521C4—24no—
1522C4—22no—
1523C4—24no—
1524C4—41no—
1525C4—41no—
1526C4—42no—
1527C4—44no—
1528C4—42no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—41no—
1534C4—42no—
1535C4—44no—
1536C4—42no—
1537C4—42no—
1538C4—42no—
1539C4—44no—
1540C4—44no—
1541C4—42no—
1542C4—42no—
1543C4#353314yes—
1544C2—81no—
1545C2—82no—
1546C2—82no—
1547C2—84no—
1548C2—84no—
1549C2—81no—
1550C2C2×#353311yescharacteristic
1551C2#6291611yescharacteristic
1552C2#6295512yes—
1553C2#6306012yes—
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. #59893C2semidirect
2. #59843C2semidirect
3. #55683C2semidirect
4. #55224C2semidirect
5. #54022C2semidirect
6. #53878C2semidirect
7. #53609C2semidirect
8. #52973C2semidirect
9. #52969C2semidirect
10. #52762C2semidirect
11. #52632C2semidirect
12. #47800C2semidirect
13. #45421C2semidirect
14. #45315C2semidirect
15. #45038C2semidirect
16. #45026C2semidirect
17. #44957C2semidirect
18. #42969C2semidirect
19. #42895C2semidirect
20. #42589C2semidirect
21. #42540C2semidirect
22. #42524C2semidirect
23. #42222C2semidirect
24. #41958C2semidirect
25. #39745C2semidirect
26. #39386C2semidirect
27. #36698C2semidirect
28. #36076C2semidirect
29. #35844C2semidirect
31. C2×#559C22semidirect
34. C2×#540C22semidirect
36. C2×#520C22semidirect
37. #2867C22semidirect
38. #2844C22semidirect
40. #2838C22semidirect
42. #2836C22semidirect
43. #2833C22semidirect
44. #2833C22semidirect
46. #2829C22semidirect
47. #2829C22semidirect
49. #2828C22semidirect
50. #2827C22semidirect
51. #2826C22semidirect
53. #2822C22semidirect
57. #2813C22semidirect
58. #2813C22semidirect
62. #2778C22semidirect
63. #2778C22semidirect
64. #2777C22semidirect
65. #2773C22semidirect
66. #2753C22semidirect
67. #2752C22semidirect
69. #2743C22semidirect
70. #2743C22semidirect
72. #2724C22semidirect
73. #2723C22semidirect
74. #2714C22semidirect
75. #2708C22semidirect
76. #2708C22semidirect
77. #2708C22semidirect
78. #2706C22semidirect
79. #2706C22semidirect
84. #2701C22semidirect
88. #2691C22semidirect
90. #2688C22semidirect
91. #2686C22semidirect
92. #2682C22semidirect
93. #2682C22semidirect
96. #2676C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2672C22semidirect
104. #2672C22semidirect
105. #2672C22semidirect
106. #2672C22semidirect
114. #2662C22semidirect
115. #2661C22semidirect
118. #2648C22semidirect
124. #2631C22semidirect
125. #2630C22semidirect
128. #2624C22semidirect
130. #2619C22semidirect
132. #2611C22semidirect
133. #2610C22semidirect
136. #2600C22semidirect
137. #2598C22semidirect
138. #2596C22semidirect
139. #2593C22semidirect
140. #2580C22semidirect
141. #2566C22semidirect
142. #2559C22semidirect
146. #2548C22semidirect
147. #2544C22semidirect
149. #2543C22semidirect
160. #2538C22semidirect
161. #2535C22semidirect
162. #2530C22semidirect
163. #2526C22semidirect
164. #2525C22semidirect
165. #2517C22semidirect
168. #2512C22semidirect
169. #2510C22semidirect
170. #2509C22semidirect
171. #2508C22semidirect
173. #2504C22semidirect
176. #2490C22semidirect
178. #2486C22semidirect
181. #2461C22semidirect
182. #2461C22semidirect
183. #2461C22semidirect
185. #2456C22semidirect
186. #2456C22semidirect
187. #2456C22semidirect
189. #2453C22semidirect
192. #2448C22semidirect
197. #2445C22semidirect
198. #2445C22semidirect
199. #2445C22semidirect
200. #2445C22semidirect
201. #2444C22semidirect
202. #2443C22semidirect
203. #2443C22semidirect
208. #2431C22semidirect
212. #2428C22semidirect
213. #2428C22semidirect
214. #2428C22semidirect
215. #2425C22semidirect
216. #2425C22semidirect
222. #2420C22semidirect
223. #2419C22semidirect
224. #2419C22semidirect
227. #2401C22semidirect
228. #2399C22semidirect
229. #2397C22semidirect
231. #2396C22semidirect
234. #2395C22semidirect
235. #2370C22semidirect
238. #2366C22semidirect
239. #2366C22semidirect
241. #2361C22semidirect
242. #2356C22semidirect
243. #2351C22semidirect
244. #2349C22semidirect
245. #2346C22semidirect
247. #2341C22semidirect
251. #2328C22semidirect
252. #2326C22semidirect
254. #2319C22semidirect
255. C4×#125C22semidirect
257. #2295C22semidirect

Maximal subgroups

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

subgroupindex
#598932
#598432
#556832
#552242
#540222
#538782
#536092
#529732
#529692
#527622
#526322
#478002
#454212
#453152
#450382
#450262
#449572
#429692
#428952
#425892
#425402
#425242
#422222
#419582
#397452
#393862
#366982
#360762
#358442