Finite Group Databasebeta

← #8749867

Subgroups — #8749867

Order 512.

4695 conjugacy classes of subgroups.

The subgroup lattice has 1527 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59865C211yesmaximal, characteristic, complemented
2#59717C212yesmaximal, complemented
3#58586C212yesmaximal, complemented
4#57737C214yesmaximal, complemented
5#56633C214yesmaximal, complemented
6#55325C214yesmaximal, complemented
7#53829C214yesmaximal, complemented
8#52967C212yesmaximal, complemented
9#52966C211yesmaximal, characteristic, complemented
10#52901C212yesmaximal, complemented
11#52482C214yesmaximal, complemented
12#47654C212yesmaximal, complemented
13#45047C211yesmaximal, characteristic, complemented
14#45019C212yesmaximal, complemented
15#44929C212yesmaximal, complemented
16#44909C212yesmaximal, complemented
17#44893C212yesmaximal, complemented
18#42983C212yesmaximal, complemented
19#42982C212yesmaximal, complemented
20#42965C211yesmaximal, characteristic, complemented
21#42666C212yesmaximal, complemented
22#42604C212yesmaximal, complemented
23#42539C212yesmaximal, complemented
24#42094C214yesmaximal, complemented
25#40050C212yesmaximal, complemented
26#38953C211yesmaximal, characteristic, complemented
27#36696C211yesmaximal, characteristic, complemented
28#36087C211yesmaximal, characteristic, complemented
29#35756C212yesmaximal, complemented
30C2×#555C2211yescharacteristic
31C2×#555C2212yes—
32C2×D42C2211yescharacteristic
33C2×#544C2211yescharacteristic, complemented
34C2×#520C2211yescharacteristic, complemented
35#2858C2211yescharacteristic
36#2843C2211yescharacteristic, complemented
37#2838C2214yescomplemented
38#2832C2214yescomplemented
39#2830C2211yescharacteristic
40#2830C2212yescomplemented
41#2830C2214yescomplemented
42#2830C2212yescomplemented
43#2829C2212yescomplemented
44#2829C2214yescomplemented
45#2829C2212yescomplemented
46#2829C2212yescomplemented
47#2828C2211yescharacteristic
48#2828C2214yescomplemented
49#2828C2212yescomplemented
50#2828C2214yescomplemented
51#2827C2214yescomplemented
52#2825C2214yescomplemented
53#2823C2211yescharacteristic, complemented
54#2820C2212yescomplemented
55#2818C2212yes—
56#2815C2212yescomplemented
57#2812C2214yescomplemented
58#2804C2212yescomplemented
59#2803C2214yescomplemented
60#2800C2214yescomplemented
61#2796C2214yescomplemented
62#2794C2212yescomplemented
63#2781C2214yescomplemented
64#2779C2214yescomplemented
65#2764C2214yescomplemented
66#2760C2212yescomplemented
67#2759C2214yescomplemented
68#2759C2214yescomplemented
69#2757C2214yescomplemented
70#2756C2214yescomplemented
71#2756C2214yescomplemented
72#2755C2214yescomplemented
73#2749C2214yescomplemented
74#2740C2214yescomplemented
75#2737C2214yescomplemented
76#2736C2214yescomplemented
77#2735C2214yescomplemented
78#2735C2214yescomplemented
79#2735C2214yescomplemented
80#2733C2214yescomplemented
81#2733C2214yescomplemented
82#2731C2214yescomplemented
83#2730C2214yescomplemented
84#2730C2214yescomplemented
85#2717C2214yescomplemented
86#2712C2214yescomplemented
87#2712C2212yescomplemented
88#2711C2214yescomplemented
89#2710C2214yes—
90#2710C2214yescomplemented
91#2709C2212yes—
92#2700C2214yescomplemented
93#2700C2214yescomplemented
94#2699C2212yescomplemented
95#2697C2214yescomplemented
96#2691C2214yescomplemented
97#2684C2214yes—
98#2684C2214yescomplemented
99#2684C2214yescomplemented
100#2681C2214yescomplemented
101#2678C2214yes—
102#2678C2214yescomplemented
103#2676C2214yes—
104#2676C2214yescomplemented
105#2673C2214yescomplemented
106#2670C2214yes—
107#2670C2214yes—
108#2670C2214yes—
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2668C2214yescomplemented
112#2663C2214yescomplemented
113#2651C2214yes—
114#2651C2214yescomplemented
115#2650C2214yescomplemented
116#2648C2214yescomplemented
117#2648C2214yescomplemented
118#2640C2212yescomplemented
119#2635C2214yescomplemented
120#2632C2212yescomplemented
121#2632C2214yescomplemented
122#2631C2214yescomplemented
123#2628C2212yescomplemented
124#2624C2211yescharacteristic
125#2622C2214yescomplemented
126#2621C2212yescomplemented
127#2619C2212yes—
128#2615C2211yescharacteristic
129#2615C2212yescomplemented
130#2611C2212yescomplemented
131#2610C2214yescomplemented
132#2602C2214yescomplemented
133#2599C2214yescomplemented
134#2598C2212yescomplemented
135#2595C2214yescomplemented
136#2594C2214yescomplemented
137#2593C2212yes—
138#2593C2212yescomplemented
139#2592C2214yescomplemented
140#2592C2214yescomplemented
141#2566C2212yescomplemented
142#2563C2211yescharacteristic
143#2562C2212yescomplemented
144#2562C2212yescomplemented
145#2562C2212yescomplemented
146#2560C2214yescomplemented
147#2555C2214yescomplemented
148#2550C2212yescomplemented
149#2550C2212yescomplemented
150#2547C2212yescomplemented
151#2545C2214yescomplemented
152#2544C2214yescomplemented
153#2541C2211yescharacteristic
154#2540C2212yescomplemented
155#2535C2212yescomplemented
156#2532C2214yescomplemented
157#2523C2214yescomplemented
158#2516C2214yescomplemented
159#2515C2214yescomplemented
160#2513C2212yes—
161#2513C2212yes—
162#2513C2214yescomplemented
163#2513C2212yescomplemented
164#2504C2211yescharacteristic
165#2504C2212yescomplemented
166#2501C2211yescharacteristic
167#2500C2212yes—
168#2495C2212yescomplemented
169#2494C2212yescomplemented
170#2491C2212yes—
171#2491C2212yes—
172#2491C2212yescomplemented
173#2491C2212yescomplemented
174#2490C2212yes—
175#2490C2212yes—
176#2490C2212yescomplemented
177#2490C2212yescomplemented
178#2487C2211yescharacteristic, complemented
179#2486C2212yescomplemented
180#2486C2211yescharacteristic, complemented
181#2485C2212yes—
182#2482C2214yescomplemented
183#2477C2214yescomplemented
184#2476C2214yes—
185#2475C2214yescomplemented
186#2474C2214yescomplemented
187#2474C2214yescomplemented
188#2474C2214yescomplemented
189#2471C2214yescomplemented
190#2464C2214yescomplemented
191#2461C2214yescomplemented
192#2461C2214yescomplemented
193#2459C2214yescomplemented
194#2459C2214yescomplemented
195#2456C2214yescomplemented
196#2456C2214yescomplemented
197#2455C2212yescomplemented
198#2454C2212yescomplemented
199#2452C2212yes—
200#2448C2214yescomplemented
201#2445C2212yes—
202#2441C2212yescomplemented
203#2440C2212yescomplemented
204#2439C2212yescomplemented
205#2439C2212yescomplemented
206#2435C2214yes—
207#2433C2212yes—
208#2428C2212yes—
209#2426C2214yescomplemented
210#2420C2212yescomplemented
211#2418C2214yescomplemented
212#2418C2214yescomplemented
213#2416C2212yes—
214#2416C2212yescomplemented
215#2414C2212yes—
216#2414C2212yes—
217#2414C2212yes—
218#2411C2214yes—
219#2410C2214yes—
220#2408C2212yes—
221#2408C2212yes—
222#2408C2212yes—
223#2408C2212yes—
224#2396C2212yescomplemented
225#2395C2212yescomplemented
226#2395C2211yescharacteristic, complemented
227#2392C2212yes—
228#2392C2214yescomplemented
229#2392C2212yescomplemented
230#2392C2212yescomplemented
231#2388C2212yescomplemented
232#2388C2211yescharacteristic, complemented
233#2374C2212yescomplemented
234#2369C2212yescomplemented
235#2365C2212yescomplemented
236#2363C2212yes—
237#2362C2214yescomplemented
238#2361C2212yescomplemented
239#2361C2212yescomplemented
240#2354C2212yescomplemented
241#2354C2212yescomplemented
242#2352C2212yescomplemented
243#2352C2212yescomplemented
244#2352C2212yescomplemented
245#2347C2212yescomplemented
246#2347C2211yescharacteristic, complemented
247#2346C2211yescharacteristic, complemented
248D4×C22⋊C4C2212yes—
249#2324C2212yes—
250#2324C2214yescomplemented
251#2324C2212yescomplemented
252#2314C2212yescomplemented
253#2309C2212yes—
254#2309C2212yes—
255C4×#127C2211yescharacteristic
256C4×#125C2212yescomplemented
257C4×#126C2212yescomplemented
258#2293C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C23×D4C2312yes—
261C23×D4C2312yes—
262#555—44no—
263#555—48no—
264D42—44no—
265#544—44no—
266C2×C4⋊Q8C2312yes—
267C2×C4⋊Q8C2311yescharacteristic
268C2×C4⋊Q8C2312yes—
269C2×C4⋊Q8C2312yes—
270C2×#127C2311yescharacteristic
271C2×#127C2311yescharacteristic
272C2×#127C2312yes—
273C2×#126C2312yes—
274C2×#125C2312yes—
275C2×#125C2312yes—
276C2×#125C2312yes—
277C2×#124C2312yes—
278C2×#124C2314yes—
279C2×#124C2312yes—
280C2×#124C2314yes—
281C2×#124C2314yes—
282C2×#124C2314yes—
283C2×#124C2314yes—
284C2×#124C2314yes—
285C2×#124C2314yes—
286C2×#124C2314yes—
287C2×#123C2312yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×C22⋊Q8C2314yes—
292C2×C22⋊Q8C2314yes—
293C2×C22⋊Q8C2314yes—
294C2×#121C2312yes—
295C2×#121C2312yes—
296C2×#121C2314yes—
297C2×#121C2312yes—
298C2×#121C2311yescharacteristic
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2311yescharacteristic
305C2×#121C2314yes—
306C2×#121C2314yes—
307C2×#121C2314yes—
308C2×#120C2314yes—
309C2×#120C2314yes—
310C2×#120C2314yes—
311C2×#120C2314yes—
312C2×#120C2314yes—
313#520—44no—
314C2×C4×Q8C2312yes—
315C2×C4×Q8C2314yes—
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2312yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2314yes—
329C2×C4×D4C2314yes—
330C2×#117C2311yescharacteristic
331C2×#117C2312yes—
332C2×#117C2311yescharacteristic
333C2×#117C2312yes—
334C2×#117C2312yes—
335C2×#117C2312yes—
336C2×#117C2311yescharacteristic
337C2×#117C2314yes—
338C2×#117C2312yes—
339C2×#117C2314yes—
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2311yescharacteristic
342C22×C4⋊C4C2312yes—
343C22×C22⋊C4C2314yes—
344#401C2314yes—
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#400C2314yes—
349#400C2311yescharacteristic
350#400C2312yes—
351#400C2314yes—
352#400C2312yes—
353#399C2311yescharacteristic
354#399C2312yes—
355#399C2312yes—
356#399C2314yes—
357#399C2314yes—
358#399C2312yes—
359#399C2314yes—
360#399C2312yes—
361#399C2312yes—
362#398C2314yes—
363#398C2311yescharacteristic
364#398C2312yes—
365#398C2312yes—
366#398C2314yes—
367#398C2312yes—
368#398C2312yes—
369#398C2312yes—
370#398C2314yes—
371#398C2314yes—
372#397C2314yes—
373#397C2312yes—
374#397C2312yes—
375#397C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2312yes—
380#397C2314yes—
381#397C2312yes—
382#397C2312yes—
383#397C2314yes—
384#397C2314yes—
385#397C2312yes—
386#397C2311yescharacteristic
387#397C2312yes—
388#397C2312yes—
389#397C2312yes—
390#397C2314yes—
391#397C2314yes—
392#397C2312yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2312yes—
403#397C2314yes—
404#396C2314yes—
405#396C2314yes—
406#396C2314yes—
407#396C2314yes—
408#396C2312yes—
409#396C2312yes—
410#396C2312yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2312yes—
415#396C2312yes—
416#396C2312yes—
417#396C2314yes—
418#396C2314yes—
419#395C2314yes—
420#395C2311yescharacteristic
421#395C2312yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2312yes—
430#394C2312yes—
431#394C2312yes—
432#394C2312yes—
433#394C2312yes—
434#394C2312yes—
435#394C2314yes—
436#394C2311yescharacteristic
437#394C2312yes—
438#394C2312yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2312yes—
444#394C2312yes—
445#394C2312yes—
446#394C2312yes—
447#394C2312yes—
448#394C2312yes—
449#394C2312yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2312yes—
471#393C2311yescharacteristic
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2312yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#392C2312yes—
482#392C2312yes—
483#392C2312yes—
484#392C2312yes—
485#392C2312yes—
486#392C2312yes—
487#392C2312yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2312yes—
492#392C2312yes—
493#392C2311yescharacteristic
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2312yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#390C2314yes—
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
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#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
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#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#384C2311yescharacteristic
653#384C2312yes—
654#383C2312yes—
655#383C2312yes—
656#383C2314yes—
657#383C2314yes—
658#382C2312yes—
659#382C2312yes—
660#382C2312yes—
661#382C2312yes—
662#382C2312yes—
663#381C2314yes—
664#381C2314yes—
665#381C2312yes—
666#380C2312yes—
667#380C2311yescharacteristic
668#380C2311yescharacteristic
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2314yes—
678#380C2312yes—
679#380C2314yes—
680#379C2314yes—
681#379C2314yes—
682#379C2314yes—
683#379C2314yes—
684#379C2314yes—
685#379C2314yes—
686#379C2314yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2311yescharacteristic
710C4×C22⋊C4C2311yescharacteristic
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2314yes—
715#376C2312yes—
716C43C2311yescharacteristic
717C25C2414yes—
718C2×#41—42no—
719C2×#41—44no—
720C22×Q8C2414yes—
721C22×Q8C2411yescharacteristic
722C22×Q8C2412yes—
723C22×Q8C2414yes—
724C22×D4—44no—
725C22×D4—44no—
726C22×D4—44no—
727C22×D4—44no—
728C22×D4—44no—
729C22×D4—82no—
730C22×D4C2412yes—
731C22×D4C2411yescharacteristic
732C22×D4C2411yescharacteristic
733C22×D4C2411yescharacteristic
734C22×D4C2414yes—
735C22×D4C2412yes—
736C22×D4C2411yescharacteristic
737C22×D4C2412yes—
738C22×D4C2412yes—
739C22×D4C2412yes—
740C22×D4C2412yes—
741C22×D4C2412yes—
742C22×D4C2414yes—
743C22×D4C2414yes—
744C22×D4C2412yes—
745C22×D4C2412yes—
746C22×D4C2412yes—
747C22×D4C2414yes—
748C22×D4C2412yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C23×C4C2411yescharacteristic
753C23×C4C2411yescharacteristic
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2414yes—
758C23×C4C2414yes—
759C23×C4C2412yes—
760C23×C4C2414yes—
761C23×C4C2412yes—
762C4⋊Q8—28no—
763C4⋊Q8—44no—
764C4⋊Q8—42no—
765C4⋊Q8—44no—
766#127—42no—
767#127—42no—
768#127—82no—
769#126—44no—
770#125—44no—
771#125—44no—
772#125—44no—
773#124—44no—
774#124—44no—
775#124—48no—
776#124—48no—
777#124—84no—
778#124—84no—
779#124—84no—
780#124—84no—
781#124—84no—
782#124—84no—
783#123—44no—
784#123—84no—
785#123—84no—
786#123—84no—
787C22⋊Q8—48no—
788C22⋊Q8—48no—
789C22⋊Q8—84no—
790#121—28no—
791#121—44no—
792#121—44no—
793#121—48no—
794#121—48no—
795#121—44no—
796#121—44no—
797#121—44no—
798#121—44no—
799#121—42no—
800#121—44no—
801#121—42no—
802#121—84no—
803#121—84no—
804#120—48no—
805#120—84no—
806#120—84no—
807#120—84no—
808#120—84no—
809C4×Q8—44no—
810C4×Q8—84no—
811C4×D4—24no—
812C4×D4—44no—
813C4×D4—48no—
814C4×D4—44no—
815C4×D4—44no—
816C4×D4—44no—
817C4×D4—44no—
818C4×D4—44no—
819C4×D4—44no—
820C4×D4—42no—
821C4×D4—44no—
822C4×D4—42no—
823C4×D4—84no—
824C4×D4—84no—
825#117—28no—
826#117—24no—
827#117—24no—
828#117—44no—
829#117—42no—
830#117—44no—
831#117—48no—
832#117—44no—
833#117—82no—
834#117—84no—
835C2×C4⋊C4—42no—
836C2×C4⋊C4—44no—
837C2×C4⋊C4—42no—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C22⋊C4—84no—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2411yescharacteristic
912C2×C22⋊C4C2411yescharacteristic
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C42C2414yes—
960C2×C42C2412yes—
961C2×C42C2412yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964C2×C42C2412yes—
965C2×C42C2411yescharacteristic
966C2×C42C2412yes—
967C2×C42C2411yescharacteristic
968C2×C42C2414yes—
969C2×C42C2411yescharacteristic
970C2×C42C2414yes—
971C2×C42C2414yes—
972C2×C42C2412yes—
973C2×C42C2414yes—
974C2×C42C2414yes—
975C2×C42C2414yes—
976C2×C42C2414yes—
977C2×C42C2412yes—
978#95C2411yescharacteristic
979#95C2412yes—
980#95C2414yes—
981#95C2412yes—
982#95C2414yes—
983#95C2414yes—
984#95C2412yes—
985#95C2411yescharacteristic
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2411yescharacteristic
990#95C2411yescharacteristic
991#95C2414yes—
992#95C2412yes—
993#95C2412yes—
994#95C2412yes—
995#95C2414yes—
996#95C2412yes—
997#95C2412yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2412yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031C24—44no—
1032C24—44no—
1033C24—44no—
1034C24—44no—
1035C24—44no—
1036C24—44no—
1037C24—44no—
1038C24C2512yes—
1039C24C2512yes—
1040C24C2514yes—
1041C24C2511yescharacteristic
1042C24C2512yes—
1043C24C2511yescharacteristic
1044#41—416no—
1045C2×Q8—28no—
1046C2×Q8—41no—
1047C2×Q8—42no—
1048C2×Q8—44no—
1049C2×Q8—44no—
1050C2×Q8—44no—
1051C2×Q8—42no—
1052C2×Q8—44no—
1053C2×Q8—44no—
1054C2×Q8—44no—
1055C2×D4—22no—
1056C2×D4—24no—
1057C2×D4—28no—
1058C2×D4—24no—
1059C2×D4—24no—
1060C2×D4—24no—
1061C2×D4—22no—
1062C2×D4—24no—
1063C2×D4—22no—
1064C2×D4—41no—
1065C2×D4—42no—
1066C2×D4—41no—
1067C2×D4—41no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—41no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—41no—
1097C2×D4—42no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—42no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—816no—
1117C2×D4—816no—
1118C22×C4—22no—
1119C22×C4—24no—
1120C22×C4—22no—
1121C22×C4—24no—
1122C22×C4—24no—
1123C22×C4—24no—
1124C22×C4—24no—
1125C22×C4—24no—
1126C22×C4—24no—
1127C22×C4—24no—
1128C22×C4—24no—
1129C22×C4—24no—
1130C22×C4—42no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—42no—
1138C22×C4—44no—
1139C22×C4—42no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—42no—
1143C22×C4—44no—
1144C22×C4—42no—
1145C22×C4C2512yes—
1146C22×C4C2512yes—
1147C22×C4C2514yes—
1148C22×C4C2514yes—
1149C22×C4C2512yes—
1150C22×C4C2511yescharacteristic
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2514yes—
1154C22×C4C2511yescharacteristic
1155C22×C4C2514yes—
1156C22×C4C2512yes—
1157C22×C4C2514yes—
1158C22×C4C2512yes—
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2511yescharacteristic
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2512yes—
1166C22×C4C2511yescharacteristic
1167C22×C4C2511yescharacteristic
1168C4⋊C4—24no—
1169C4⋊C4—22no—
1170C4⋊C4—24no—
1171C4⋊C4—22no—
1172C4⋊C4—28no—
1173C4⋊C4—24no—
1174C4⋊C4—24no—
1175C4⋊C4—28no—
1176C4⋊C4—24no—
1177C4⋊C4—24no—
1178C4⋊C4—42no—
1179C4⋊C4—44no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—41no—
1184C4⋊C4—42no—
1185C4⋊C4—42no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—42no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—42no—
1192C4⋊C4—42no—
1193C4⋊C4—42no—
1194C4⋊C4—42no—
1195C4⋊C4—41no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—42no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—42no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—42no—
1210C4⋊C4—42no—
1211C4⋊C4—44no—
1212C4⋊C4H(5,𝔽2)14yes—
1213C22⋊C4—28no—
1214C22⋊C4—24no—
1215C22⋊C4—24no—
1216C22⋊C4—28no—
1217C22⋊C4—24no—
1218C22⋊C4—24no—
1219C22⋊C4—42no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—42no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—42no—
1239C22⋊C4—44no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—42no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—42no—
1246C22⋊C4—44no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—42no—
1274C22⋊C4—44no—
1275C22⋊C4—42no—
1276C22⋊C4—44no—
1277C22⋊C4—42no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—42no—
1281C22⋊C4—44no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C42—28no—
1289C42—24no—
1290C42—24no—
1291C42—24no—
1292C42—22no—
1293C42—24no—
1294C42—24no—
1295C42—24no—
1296C42—22no—
1297C42—44no—
1298C42—41no—
1299C42—44no—
1300C42—44no—
1301C42—42no—
1302C42—44no—
1303C42—44no—
1304C42—44no—
1305C42—44no—
1306C42—42no—
1307C23—21no—
1308C23—22no—
1309C23—21no—
1310C23—22no—
1311C23—24no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—21no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—21no—
1320C23—24no—
1321C23—24no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—24no—
1326C23—24no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—24no—
1331C23—24no—
1332C23—22no—
1333C23—21no—
1334C23—22no—
1335C23—24no—
1336C23—22no—
1337C23—22no—
1338C23—24no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—21no—
1343C23—88no—
1344C23—88no—
1345C23—88no—
1346C23—164no—
1347C23—164no—
1348C23—164no—
1349C23—164no—
1350C23C2611yescharacteristic
1351Q8—44no—
1352Q8—88no—
1353Q8—164no—
1354Q8—162no—
1355D4—44no—
1356D4—48no—
1357D4—44no—
1358D4—48no—
1359D4—44no—
1360D4—82no—
1361D4—84no—
1362D4—88no—
1363D4—84no—
1364D4—88no—
1365D4—84no—
1366D4—84no—
1367D4—88no—
1368D4—84no—
1369D4—84no—
1370D4—88no—
1371D4—164no—
1372D4—164no—
1373D4—162no—
1374D4—162no—
1375D4—162no—
1376D4—164no—
1377C2×C4—21no—
1378C2×C4—22no—
1379C2×C4—21no—
1380C2×C4—22no—
1381C2×C4—21no—
1382C2×C4—22no—
1383C2×C4—21no—
1384C2×C4—24no—
1385C2×C4—21no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—24no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—24no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—24no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—24no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—24no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—22no—
1424C2×C4—24no—
1425C2×C4—24no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—48no—
1437C2×C4—44no—
1438C2×C4—48no—
1439C2×C4—44no—
1440C2×C4—48no—
1441C2×C4—88no—
1442C2×C4—88no—
1443C2×C4—162no—
1444C2×C4—164no—
1445C2×C4—162no—
1446C2×C4C2×H(5,𝔽2)14yes—
1447C2×C4C2×H(5,𝔽2)12yes—
1448C2×C4#58512yes—
1449C2×C4#58514yes—
1450C22—41no—
1451C22—42no—
1452C22—41no—
1453C22—42no—
1454C22—42no—
1455C22—44no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—44no—
1461C22—42no—
1462C22—44no—
1463C22—44no—
1464C22—42no—
1465C22—44no—
1466C22—42no—
1467C22—41no—
1468C22—42no—
1469C22—41no—
1470C22—42no—
1471C22—42no—
1472C22—41no—
1473C22—42no—
1474C22—44no—
1475C22—41no—
1476C22—42no—
1477C22—44no—
1478C22—42no—
1479C22—42no—
1480C22—42no—
1481C22—44no—
1482C22—42no—
1483C22—42no—
1484C22—42no—
1485C22—44no—
1486C22—1616no—
1487C22C22×H(5,𝔽2)11yescharacteristic
1488C22C2×#58512yes—
1489C22C2×#58511yescharacteristic
1490C22H(7,𝔽2)11yescharacteristic
1491C22H(7,𝔽2)12yes—
1492C4—22no—
1493C4—24no—
1494C4—41no—
1495C4—42no—
1496C4—41no—
1497C4—42no—
1498C4—42no—
1499C4—42no—
1500C4—44no—
1501C4—42no—
1502C4—44no—
1503C4—42no—
1504C4—44no—
1505C4—42no—
1506C4—41no—
1507C4—42no—
1508C4—44no—
1509C4—42no—
1510C4—42no—
1511C4—42no—
1512C4—44no—
1513C4—42no—
1514C4#354014yes—
1515C2—81no—
1516C2—82no—
1517C2—81no—
1518C2—84no—
1519C2—82no—
1520C2—82no—
1521C2C2×#354011yescharacteristic
1522C2#6291811yescharacteristic
1523C2#6293812yes—
1524C2#6305112yes—
1525C2#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. #59865C2semidirect
2. #59717C2semidirect
3. #58586C2semidirect
4. #57737C2semidirect
5. #56633C2semidirect
6. #55325C2semidirect
7. #53829C2semidirect
8. #52967C2semidirect
9. #52966C2semidirect
10. #52901C2semidirect
11. #52482C2semidirect
12. #47654C2semidirect
13. #45047C2semidirect
14. #45019C2semidirect
15. #44929C2semidirect
16. #44909C2semidirect
17. #44893C2semidirect
18. #42983C2semidirect
19. #42982C2semidirect
20. #42965C2semidirect
21. #42666C2semidirect
22. #42604C2semidirect
23. #42539C2semidirect
24. #42094C2semidirect
25. #40050C2semidirect
26. #38953C2semidirect
27. #36696C2semidirect
28. #36087C2semidirect
29. #35756C2semidirect
33. C2×#544C22semidirect
34. C2×#520C22semidirect
36. #2843C22semidirect
37. #2838C22semidirect
38. #2832C22semidirect
40. #2830C22semidirect
41. #2830C22semidirect
42. #2830C22semidirect
43. #2829C22semidirect
44. #2829C22semidirect
45. #2829C22semidirect
46. #2829C22semidirect
48. #2828C22semidirect
49. #2828C22semidirect
50. #2828C22semidirect
51. #2827C22semidirect
52. #2825C22semidirect
53. #2823C22semidirect
54. #2820C22semidirect
56. #2815C22semidirect
57. #2812C22semidirect
58. #2804C22semidirect
59. #2803C22semidirect
60. #2800C22semidirect
61. #2796C22semidirect
62. #2794C22semidirect
63. #2781C22semidirect
64. #2779C22semidirect
65. #2764C22semidirect
66. #2760C22semidirect
67. #2759C22semidirect
68. #2759C22semidirect
69. #2757C22semidirect
70. #2756C22semidirect
71. #2756C22semidirect
72. #2755C22semidirect
73. #2749C22semidirect
74. #2740C22semidirect
75. #2737C22semidirect
76. #2736C22semidirect
77. #2735C22semidirect
78. #2735C22semidirect
79. #2735C22semidirect
80. #2733C22semidirect
81. #2733C22semidirect
82. #2731C22semidirect
83. #2730C22semidirect
84. #2730C22semidirect
85. #2717C22semidirect
86. #2712C22semidirect
87. #2712C22semidirect
88. #2711C22semidirect
90. #2710C22semidirect
92. #2700C22semidirect
93. #2700C22semidirect
94. #2699C22semidirect
95. #2697C22semidirect
96. #2691C22semidirect
98. #2684C22semidirect
99. #2684C22semidirect
100. #2681C22semidirect
102. #2678C22semidirect
104. #2676C22semidirect
105. #2673C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2668C22semidirect
112. #2663C22semidirect
114. #2651C22semidirect
115. #2650C22semidirect
116. #2648C22semidirect
117. #2648C22semidirect
118. #2640C22semidirect
119. #2635C22semidirect
120. #2632C22semidirect
121. #2632C22semidirect
122. #2631C22semidirect
123. #2628C22semidirect
125. #2622C22semidirect
126. #2621C22semidirect
129. #2615C22semidirect
130. #2611C22semidirect
131. #2610C22semidirect
132. #2602C22semidirect
133. #2599C22semidirect
134. #2598C22semidirect
135. #2595C22semidirect
136. #2594C22semidirect
138. #2593C22semidirect
139. #2592C22semidirect
140. #2592C22semidirect
141. #2566C22semidirect
143. #2562C22semidirect
144. #2562C22semidirect
145. #2562C22semidirect
146. #2560C22semidirect
147. #2555C22semidirect
148. #2550C22semidirect
149. #2550C22semidirect
150. #2547C22semidirect
151. #2545C22semidirect
152. #2544C22semidirect
154. #2540C22semidirect
155. #2535C22semidirect
156. #2532C22semidirect
157. #2523C22semidirect
158. #2516C22semidirect
159. #2515C22semidirect
162. #2513C22semidirect
163. #2513C22semidirect
165. #2504C22semidirect
168. #2495C22semidirect
169. #2494C22semidirect
172. #2491C22semidirect
173. #2491C22semidirect
176. #2490C22semidirect
177. #2490C22semidirect
178. #2487C22semidirect
179. #2486C22semidirect
180. #2486C22semidirect
182. #2482C22semidirect
183. #2477C22semidirect
185. #2475C22semidirect
186. #2474C22semidirect
187. #2474C22semidirect
188. #2474C22semidirect
189. #2471C22semidirect
190. #2464C22semidirect
191. #2461C22semidirect
192. #2461C22semidirect
193. #2459C22semidirect
194. #2459C22semidirect
195. #2456C22semidirect
196. #2456C22semidirect
197. #2455C22semidirect
198. #2454C22semidirect
200. #2448C22semidirect
202. #2441C22semidirect
203. #2440C22semidirect
204. #2439C22semidirect
205. #2439C22semidirect
209. #2426C22semidirect
210. #2420C22semidirect
211. #2418C22semidirect
212. #2418C22semidirect
214. #2416C22semidirect
224. #2396C22semidirect
225. #2395C22semidirect
226. #2395C22semidirect
228. #2392C22semidirect
229. #2392C22semidirect
230. #2392C22semidirect
231. #2388C22semidirect
232. #2388C22semidirect
233. #2374C22semidirect
234. #2369C22semidirect
235. #2365C22semidirect
237. #2362C22semidirect
238. #2361C22semidirect
239. #2361C22semidirect
240. #2354C22semidirect
241. #2354C22semidirect
242. #2352C22semidirect
243. #2352C22semidirect
244. #2352C22semidirect
245. #2347C22semidirect
246. #2347C22semidirect
247. #2346C22semidirect
250. #2324C22semidirect
251. #2324C22semidirect
252. #2314C22semidirect
256. C4×#125C22semidirect
257. C4×#126C22semidirect

Maximal subgroups

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

subgroupindex
#598652
#597172
#585862
#577372
#566332
#553252
#538292
#529672
#529662
#529012
#524822
#476542
#450472
#450192
#449292
#449092
#448932
#429832
#429822
#429652
#426662
#426042
#425392
#420942
#400502
#389532
#366962
#360872
#357562