Finite Group Databasebeta

← #7688921

Subgroups — #7688921

Order 512.

5359 conjugacy classes of subgroups.

The subgroup lattice has 1511 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59951C211yesmaximal, characteristic, complemented
2#59950C214yesmaximal, complemented
3#59947C212yesmaximal, complemented
4#59894C212yesmaximal, complemented
5#59228C212yesmaximal, complemented
6#59226C214yesmaximal, complemented
7#45408C211yesmaximal, characteristic, complemented
8#45369C211yesmaximal, characteristic, complemented
9#45133C212yesmaximal, complemented
10#43938C214yesmaximal, complemented
11#43621C212yesmaximal, complemented
12#43150C212yesmaximal, complemented
13#38289C212yesmaximal, complemented
14#38280C214yesmaximal, complemented
15#37952C212yesmaximal, complemented
16#37950C214yesmaximal, complemented
17#36373C212yesmaximal, complemented
18#36289C211yesmaximal, characteristic, complemented
19#36257C214yesmaximal, complemented
20#36238C212yesmaximal, complemented
21#36218C212yesmaximal, complemented
22#36042C211yesmaximal, characteristic, complemented
23#35950C211yesmaximal, characteristic, complemented
24#35761C212yesmaximal, complemented
25#34874C211yesmaximal, characteristic, complemented
26C2×#2593C212yesmaximal, complemented
27#34292C212yesmaximal, complemented
28#34261C212yesmaximal, complemented
29#34127C212yesmaximal, complemented
30C2×#554C2211yescharacteristic
31C2×#554C2211yescharacteristic
32C2×#547C2211yescharacteristic
33C2×#546C2212yes—
34C2×#546C2212yes—
35C2×D42C2211yescharacteristic
36C2×#518C2212yes—
37C2×C4×#41C2212yes—
38#2861C2212yescomplemented
39#2858C2211yescharacteristic
40#2854C2214yescomplemented
41#2850C2212yes—
42#2850C2212yescomplemented
43#2850C2214yescomplemented
44#2808C2214yescomplemented
45#2803C2214yes—
46#2803C2214yescomplemented
47#2795C2214yescomplemented
48#2785C2212yescomplemented
49#2785C2214yescomplemented
50#2785C2214yescomplemented
51#2784C2212yescomplemented
52#2783C2214yescomplemented
53#2781C2214yescomplemented
54#2781C2214yescomplemented
55#2781C2214yescomplemented
56#2775C2214yescomplemented
57#2775C2214yescomplemented
58#2769C2212yescomplemented
59#2756C2214yescomplemented
60#2756C2214yescomplemented
61#2756C2214yescomplemented
62#2744C2214yescomplemented
63#2744C2214yescomplemented
64#2733C2212yescomplemented
65#2731C2212yes—
66#2699C2212yescomplemented
67#2686C2214yescomplemented
68#2660C2211yescharacteristic, complemented
69#2659C2212yescomplemented
70#2642C2211yescharacteristic, complemented
71#2639C2212yescomplemented
72#2620C2212yes—
73#2617C2214yes—
74#2612C2211yescharacteristic, complemented
75#2610C2212yes—
76#2610C2214yescomplemented
77#2610C2214yescomplemented
78#2609C2212yescomplemented
79#2609C2211yescharacteristic, complemented
80#2593C2211yescharacteristic
81#2593C2212yes—
82#2593C2214yes—
83#2593C2214yescomplemented
84#2593C2214yescomplemented
85#2593C2212yescomplemented
86#2593C2214yescomplemented
87#2593C2214yescomplemented
88#2593C2212yescomplemented
89#2593C2214yescomplemented
90#2593C2214yescomplemented
91#2592C2212yescomplemented
92#2591C2212yescomplemented
93#2591C2214yescomplemented
94#2584C2211yescharacteristic, complemented
95#2583C2212yescomplemented
96#2574C2212yescomplemented
97#2574C2214yescomplemented
98#2572C2212yescomplemented
99#2568C2211yescharacteristic, complemented
100#2563C2211yescharacteristic
101#2562C2212yescomplemented
102#2562C2211yescharacteristic, complemented
103#2561C2214yescomplemented
104#2555C2211yescharacteristic
105#2552C2212yescomplemented
106#2550C2212yescomplemented
107#2549C2214yescomplemented
108#2548C2211yescharacteristic
109#2546C2211yescharacteristic, complemented
110#2545C2212yescomplemented
111#2544C2212yes—
112#2543C2214yescomplemented
113#2537C2212yes—
114#2536C2212yescomplemented
115#2534C2214yes—
116#2534C2214yescomplemented
117#2532C2214yescomplemented
118#2532C2214yescomplemented
119#2531C2212yescomplemented
120#2531C2214yescomplemented
121#2529C2214yescomplemented
122#2529C2212yescomplemented
123#2529C2214yescomplemented
124#2529C2214yescomplemented
125#2526C2214yescomplemented
126#2526C2214yescomplemented
127#2518C2214yescomplemented
128#2513C2214yescomplemented
129#2508C2214yescomplemented
130#2504C2212yes—
131#2503C2212yescomplemented
132#2502C2212yescomplemented
133#2500C2214yescomplemented
134#2497C2214yescomplemented
135#2495C2214yescomplemented
136#2492C2212yescomplemented
137#2492C2212yescomplemented
138#2491C2212yescomplemented
139#2491C2214yescomplemented
140#2490C2212yes—
141#2490C2212yes—
142#2490C2212yescomplemented
143#2489C2212yescomplemented
144#2489C2212yescomplemented
145#2488C2214yescomplemented
146#2488C2214yescomplemented
147#2488C2214yescomplemented
148#2488C2214yescomplemented
149#2476C2214yescomplemented
150#2476C2214yescomplemented
151#2476C2212yescomplemented
152#2474C2214yescomplemented
153#2474C2214yescomplemented
154#2474C2212yescomplemented
155#2474C2214yescomplemented
156#2472C2214yes—
157#2472C2214yes—
158#2472C2214yescomplemented
159#2472C2214yescomplemented
160#2459C2214yescomplemented
161#2440C2214yescomplemented
162#2435C2212yes—
163#2429C2212yescomplemented
164#2428C2212yes—
165#2427C2212yes—
166#2426C2212yescomplemented
167#2425C2214yes—
168#2425C2214yescomplemented
169#2424C2214yes—
170#2424C2214yescomplemented
171#2416C2214yes—
172#2415C2212yes—
173#2415C2212yescomplemented
174#2414C2212yes—
175#2414C2214yescomplemented
176#2414C2212yescomplemented
177#2413C2214yescomplemented
178#2412C2214yes—
179#2411C2214yescomplemented
180#2410C2214yes—
181#2399C2211yescharacteristic, complemented
182#2398C2211yescharacteristic, complemented
183C2×#400C2212yescomplemented
184#2392C2212yes—
185C2×#398C2212yescomplemented
186C2×#394C2214yes—
187#2372C2214yescomplemented
188#2369C2212yescomplemented
189#2367C2212yescomplemented
190#2363C2214yescomplemented
191#2363C2212yescomplemented
192#2362C2212yescomplemented
193#2361C2214yescomplemented
194#2359C2214yescomplemented
195#2358C2214yescomplemented
196#2357C2212yescomplemented
197#2355C2212yescomplemented
198#2355C2212yescomplemented
199#2354C2214yescomplemented
200#2354C2212yescomplemented
201#2354C2212yescomplemented
202#2353C2214yescomplemented
203#2352C2214yescomplemented
204#2352C2214yescomplemented
205#2352C2214yescomplemented
206#2349C2212yes—
207D4×C4⋊C4C2212yes—
208D4×C4⋊C4C2212yes—
209#2347C2212yescomplemented
210#2347C2212yescomplemented
211#2347C2212yescomplemented
212#2346C2212yescomplemented
213#2346C2214yescomplemented
214#2343C2214yescomplemented
215#2343C2214yescomplemented
216#2342C2214yescomplemented
217#2342C2214yescomplemented
218#2342C2214yescomplemented
219#2339C2212yes—
220#2339C2212yes—
221#2339C2212yes—
222D4×C22⋊C4C2212yes—
223D4×C22⋊C4C2212yes—
224D4×C22⋊C4C2212yes—
225#2326C2212yescomplemented
226#2325C2214yescomplemented
227#2323C2212yescomplemented
228#2321C2214yescomplemented
229#2319C2212yescomplemented
230#2318C2214yescomplemented
231#2314C2212yescomplemented
232#2312C2214yescomplemented
233C4×#124C2211yescharacteristic
234C4×#124C2212yescomplemented
235C4×#123C2214yescomplemented
236C4×#121C2212yescomplemented
237C4×#121C2212yescomplemented
238#2298C2212yescomplemented
239#2295C2212yescomplemented
240#2295C2212yescomplemented
241#2293C2212yescomplemented
242C2×#390C2212yes—
243#2290C2214yescomplemented
244#2290C2214yescomplemented
245#2290C2214yescomplemented
246#2290C2212yescomplemented
247C2×#388C2214yescomplemented
248C2×#388C2214yescomplemented
249C2×#388C2214yescomplemented
250C2×#388C2214yescomplemented
251#2285C2212yescomplemented
252#2283C2214yescomplemented
253#2275C2211yescharacteristic
254#2275C2211yescharacteristic
255C42×D4C2211yescharacteristic
256C42×D4C2212yes—
257C4×#117C2212yescomplemented
258C2×C4×C4⋊C4C2214yescomplemented
259C22×#41C2312yes—
260C23×D4C2312yes—
261C23×D4C2312yes—
262#554—44no—
263#554—44no—
264#547—44no—
265#546—216no—
266#546—48no—
267D42—44no—
268C2×C4⋊Q8C2311yescharacteristic
269C2×C4⋊Q8C2311yescharacteristic
270C2×C4⋊Q8C2312yes—
271C2×C4⋊Q8C2311yescharacteristic
272C2×#127C2311yescharacteristic
273C2×#125C2312yes—
274C2×#125C2311yescharacteristic
275C2×#125C2311yescharacteristic
276C2×#124C2312yes—
277C2×#124C2312yes—
278C2×#124C2314yes—
279C2×#124C2311yescharacteristic
280C2×#124C2312yes—
281C2×#124C2312yes—
282C2×#124C2314yes—
283C2×#123C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×C22⋊Q8C2312yes—
287C2×C22⋊Q8C2314yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2312yes—
294C2×#121C2314yes—
295C2×#121C2312yes—
296C2×#121C2314yes—
297C2×#121C2312yes—
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#121C2314yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2314yes—
304C2×#120C2314yes—
305C2×#120C2314yes—
306C2×#120C2314yes—
307#518—216no—
308C4×#41—216no—
309C2×C4×Q8C2312yes—
310C2×C4×Q8C2312yes—
311C2×C4×Q8C2311yescharacteristic
312C2×C4×Q8C2311yescharacteristic
313C2×C4×D4C2314yes—
314C2×C4×D4C2312yes—
315C2×C4×D4C2314yes—
316C2×C4×D4C2314yes—
317C2×C4×D4C2312yes—
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2312yes—
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2312yes—
325C2×C4×D4C2314yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2314yes—
330C2×C4×D4C2312yes—
331C2×#117C2312yes—
332C2×#117C2314yes—
333C2×#117C2312yes—
334C2×#117C2312yes—
335C2×#117C2314yes—
336C2×#117C2312yes—
337C2×#117C2312yes—
338C2×#117C2314yes—
339C2×#117C2314yes—
340C22×C4⋊C4C2312yes—
341C22×C4⋊C4C2312yes—
342C22×C4⋊C4C2314yes—
343C22×C4⋊C4C2314yes—
344C22×C4⋊C4C2312yes—
345C22×C22⋊C4C2314yes—
346C22×C22⋊C4C2314yes—
347C22×C22⋊C4C2314yes—
348C22×C22⋊C4C2314yes—
349C22×C22⋊C4C2314yes—
350C22×C22⋊C4C2314yes—
351C22×C22⋊C4C2314yes—
352C22×C42C2312yes—
353C22×C42C2314yes—
354C22×C42C2312yes—
355C22×C42C2314yes—
356#400C2312yes—
357#400C2314yes—
358#400C2312yes—
359#400C2312yes—
360#400C2311yescharacteristic
361#400C2312yes—
362#400C2314yes—
363#400C2314yes—
364#400C2311yescharacteristic
365#400C2314yes—
366#400C2312yes—
367#400C2314yes—
368#400C2314yes—
369#398C2312yes—
370#398C2314yes—
371#398C2312yes—
372#398C2312yes—
373#398C2312yes—
374#398C2311yescharacteristic
375#398C2314yes—
376#398C2312yes—
377#398C2314yes—
378#398C2314yes—
379#398C2311yescharacteristic
380#398C2312yes—
381#398C2312yes—
382#398C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2312yes—
390#397C2312yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#396C2312yes—
395#396C2314yes—
396#396C2314yes—
397#396C2314yes—
398#396C2312yes—
399#396C2314yes—
400#396C2314yes—
401#396C2314yes—
402#395C2312yes—
403#395C2314yes—
404#395C2311yescharacteristic
405#395C2312yes—
406#395C2314yes—
407#395C2311yescharacteristic
408#394C2312yes—
409#394C2314yes—
410#394C2312yes—
411#394C2311yescharacteristic
412#394C2314yes—
413#394C2314yes—
414#394C2312yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2312yes—
425#394C2314yes—
426#394C2314yes—
427#394C2312yes—
428#394C2314yes—
429#394C2311yescharacteristic
430#394C2312yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#393C2314yes—
436#393C2314yes—
437#393C2314yes—
438#393C2312yes—
439#393C2314yes—
440#393C2314yes—
441#392C2312yes—
442#392C2314yes—
443#392C2314yes—
444#392C2314yes—
445#391C2312yes—
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2311yescharacteristic
450#391C2314yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2314yes—
457#391C2314yes—
458#390C2312yes—
459#390C2312yes—
460#390C2312yes—
461#390C2314yes—
462#390C2314yes—
463#390C2312yes—
464#390C2312yes—
465#390C2311yescharacteristic
466#390C2312yes—
467#390C2314yes—
468#390C2314yes—
469#390C2312yes—
470#390C2314yes—
471#390C2312yes—
472#390C2312yes—
473#390C2314yes—
474#390C2314yes—
475#390C2312yes—
476#390C2314yes—
477#390C2312yes—
478#390C2312yes—
479#389C2312yes—
480#389C2312yes—
481#389C2314yes—
482#389C2314yes—
483#389C2314yes—
484#389C2312yes—
485#389C2314yes—
486#389C2312yes—
487#389C2314yes—
488#389C2314yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2314yes—
493#388C2312yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2312yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2312yes—
512#388C2314yes—
513#388C2312yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2312yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2312yes—
526#388C2312yes—
527#388C2312yes—
528#388C2312yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2312yes—
566#387C2314yes—
567#387C2314yes—
568#387C2312yes—
569#387C2312yes—
570#387C2314yes—
571#387C2312yes—
572#387C2312yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2312yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2312yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2312yes—
604#386C2312yes—
605#386C2314yes—
606#386C2312yes—
607#386C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2312yes—
612#385C2312yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#384C2312yes—
620#384C2312yes—
621#384C2314yes—
622#383C2314yes—
623#383C2314yes—
624#383C2314yes—
625#382C2312yes—
626#382C2312yes—
627#382C2312yes—
628#382C2314yes—
629#382C2312yes—
630#382C2314yes—
631#382C2314yes—
632#382C2314yes—
633#382C2314yes—
634#382C2314yes—
635#382C2311yescharacteristic
636#381C2314yes—
637#381C2314yes—
638#381C2314yes—
639#381C2314yes—
640#381C2314yes—
641#380C2312yes—
642#380C2312yes—
643#380C2312yes—
644#380C2312yes—
645#380C2312yes—
646#380C2312yes—
647#380C2314yes—
648#380C2314yes—
649#380C2314yes—
650#380C2312yes—
651#380C2314yes—
652#380C2314yes—
653#380C2314yes—
654#380C2314yes—
655#380C2314yes—
656#379C2314yes—
657#379C2314yes—
658#379C2314yes—
659C4×C4⋊C4C2311yescharacteristic
660C4×C4⋊C4C2312yes—
661C4×C4⋊C4C2311yescharacteristic
662C4×C4⋊C4C2312yes—
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2314yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2311yescharacteristic
668C4×C4⋊C4C2314yes—
669C4×C4⋊C4C2314yes—
670C4×C4⋊C4C2314yes—
671C4×C4⋊C4C2314yes—
672C4×C4⋊C4C2314yes—
673C4×C4⋊C4C2314yes—
674C4×C4⋊C4C2314yes—
675C4×C4⋊C4C2314yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2312yes—
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2312yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705#376C2311yescharacteristic
706#376C2311yescharacteristic
707#376C2312yes—
708#376C2312yes—
709#376C2314yes—
710#376C2314yes—
711#376C2314yes—
712C2×#95C2312yes—
713C2×#95C2312yes—
714C2×#95C2314yes—
715C2×#95C2314yes—
716C2×#95C2314yes—
717C2×#95C2314yes—
718C43C2311yescharacteristic
719C43C2312yes—
720C25C2414yes—
721C2×#41—28no—
722C2×#41—28no—
723C2×#41—28no—
724C22×Q8C2412yes—
725C22×Q8C2411yescharacteristic
726C22×Q8C2411yescharacteristic
727C22×Q8C2412yes—
728C22×Q8C2412yes—
729C22×D4—28no—
730C22×D4—28no—
731C22×D4—28no—
732C22×D4—44no—
733C22×D4—44no—
734C22×D4—82no—
735C22×D4C2414yes—
736C22×D4C2414yes—
737C22×D4C2412yes—
738C22×D4C2412yes—
739C22×D4C2414yes—
740C22×D4C2411yescharacteristic
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2411yescharacteristic
744C22×D4C2412yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2411yescharacteristic
748C23×C4C2414yes—
749C23×C4C2412yes—
750C23×C4C2412yes—
751C23×C4C2414yes—
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2412yes—
755C23×C4C2414yes—
756C23×C4C2412yes—
757C23×C4C2414yes—
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2412yes—
761C23×C4C2414yes—
762C4⋊Q8—42no—
763C4⋊Q8—42no—
764C4⋊Q8—42no—
765C4⋊Q8—44no—
766#127—42no—
767#125—44no—
768#125—42no—
769#125—42no—
770#124—28no—
771#124—44no—
772#124—48no—
773#124—42no—
774#124—44no—
775#124—84no—
776#124—82no—
777#123—216no—
778#123—48no—
779#123—48no—
780C22⋊Q8—28no—
781C22⋊Q8—44no—
782C22⋊Q8—44no—
783C22⋊Q8—44no—
784C22⋊Q8—48no—
785C22⋊Q8—44no—
786C22⋊Q8—44no—
787C22⋊Q8—44no—
788#121—216no—
789#121—28no—
790#121—44no—
791#121—48no—
792#121—44no—
793#121—44no—
794#121—44no—
795#121—48no—
796#121—44no—
797#121—84no—
798#120—216no—
799#120—48no—
800#120—48no—
801C4×Q8—28no—
802C4×Q8—28no—
803C4×Q8—42no—
804C4×Q8—42no—
805C4×D4—28no—
806C4×D4—28no—
807C4×D4—24no—
808C4×D4—28no—
809C4×D4—24no—
810C4×D4—24no—
811C4×D4—216no—
812C4×D4—216no—
813C4×D4—28no—
814C4×D4—216no—
815C4×D4—216no—
816C4×D4—28no—
817C4×D4—28no—
818C4×D4—42no—
819C4×D4—44no—
820C4×D4—42no—
821C4×D4—48no—
822C4×D4#41116yes—
823#117—28no—
824#117—28no—
825#117—216no—
826#117—28no—
827#117—48no—
828#117—44no—
829#117—44no—
830#117—84no—
831#117—84no—
832C2×C4⋊C4—48no—
833C2×C4⋊C4—48no—
834C2×C4⋊C4—44no—
835C2×C4⋊C4—44no—
836C2×C4⋊C4—44no—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2411yescharacteristic
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C22⋊C4—216no—
887C2×C22⋊C4—216no—
888C2×C22⋊C4—216no—
889C2×C22⋊C4—48no—
890C2×C22⋊C4—48no—
891C2×C22⋊C4—48no—
892C2×C22⋊C4—84no—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C42—216no—
953C2×C42—28no—
954C2×C42—82no—
955C2×C42—84no—
956C2×C42C2412yes—
957C2×C42C2411yescharacteristic
958C2×C42C2412yes—
959C2×C42C2414yes—
960C2×C42C2412yes—
961C2×C42C2414yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964C2×C42C2411yescharacteristic
965C2×C42C2411yescharacteristic
966C2×C42C2411yescharacteristic
967C2×C42C2412yes—
968C2×C42C2414yes—
969C2×C42C2414yes—
970C2×C42C2412yes—
971C2×C42C2412yes—
972C2×C42C2412yes—
973C2×C42C2412yes—
974C2×C42C2414yes—
975C2×C42C2414yes—
976C2×C42C2414yes—
977C2×C42C2414yes—
978C2×C42C2414yes—
979C2×C42C2412yes—
980C2×C42C2414yes—
981C2×C42C2412yes—
982C2×C42C2411yescharacteristic
983C2×C42C2412yes—
984C2×C42C2412yes—
985#95C2412yes—
986#95C2412yes—
987#95C2411yescharacteristic
988#95C2411yescharacteristic
989#95C2412yes—
990#95C2412yes—
991#95C2414yes—
992#95C2412yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2412yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2412yes—
1008#95C2414yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2411yescharacteristic
1013#95C2411yescharacteristic
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044C24—28no—
1045C24—28no—
1046C24—28no—
1047C24—44no—
1048C24—44no—
1049C24—44no—
1050C24—44no—
1051C24C2512yes—
1052C24C2514yes—
1053C24C2512yes—
1054C24C2512yes—
1055#41—432no—
1056C2×Q8—24no—
1057C2×Q8—24no—
1058C2×Q8—24no—
1059C2×Q8—22no—
1060C2×Q8—41no—
1061C2×Q8—41no—
1062C2×Q8—42no—
1063C2×Q8—41no—
1064C2×Q8—42no—
1065C2×Q8—42no—
1066C2×Q8—44no—
1067C2×Q8—42no—
1068C2×Q8—42no—
1069C2×D4—28no—
1070C2×D4—28no—
1071C2×D4—28no—
1072C2×D4—28no—
1073C2×D4—28no—
1074C2×D4—28no—
1075C2×D4—24no—
1076C2×D4—24no—
1077C2×D4—24no—
1078C2×D4—28no—
1079C2×D4—24no—
1080C2×D4—22no—
1081C2×D4—24no—
1082C2×D4—41no—
1083C2×D4—41no—
1084C2×D4—42no—
1085C2×D4—41no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—44no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—44no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—44no—
1098C2×D4—42no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—432no—
1104C2×D4—816no—
1105C2×D4C2×#4118yes—
1106C2×D4H(5,𝔽2)14yes—
1107C22×C4—28no—
1108C22×C4—28no—
1109C22×C4—28no—
1110C22×C4—28no—
1111C22×C4—24no—
1112C22×C4—28no—
1113C22×C4—28no—
1114C22×C4—24no—
1115C22×C4—24no—
1116C22×C4—24no—
1117C22×C4—24no—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—24no—
1121C22×C4—24no—
1122C22×C4—24no—
1123C22×C4—24no—
1124C22×C4—28no—
1125C22×C4—24no—
1126C22×C4—24no—
1127C22×C4—28no—
1128C22×C4—28no—
1129C22×C4—44no—
1130C22×C4—42no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4C2×#41116yes—
1147C22×C4C2512yes—
1148C22×C4C2511yescharacteristic
1149C22×C4C2512yes—
1150C22×C4C2514yes—
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2514yes—
1154C22×C4C2512yes—
1155C22×C4C2511yescharacteristic
1156C22×C4C2511yescharacteristic
1157C22×C4C2514yes—
1158C22×C4C2511yescharacteristic
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2512yes—
1162C22×C4C2514yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2511yescharacteristic
1166C22×C4C2514yes—
1167C22×C4C2512yes—
1168C22×C4C2512yes—
1169C22×C4C2511yescharacteristic
1170C22×C4C2512yes—
1171C22×C4C2511yescharacteristic
1172C4⋊C4—24no—
1173C4⋊C4—24no—
1174C4⋊C4—24no—
1175C4⋊C4—24no—
1176C4⋊C4—28no—
1177C4⋊C4—28no—
1178C4⋊C4—24no—
1179C4⋊C4—28no—
1180C4⋊C4—22no—
1181C4⋊C4—24no—
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—24no—
1185C4⋊C4—24no—
1186C4⋊C4—28no—
1187C4⋊C4—28no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—42no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—42no—
1202C4⋊C4—44no—
1203C4⋊C4—42no—
1204C4⋊C4—42no—
1205C4⋊C4—44no—
1206C4⋊C4—42no—
1207C4⋊C4—44no—
1208C4⋊C4—41no—
1209C4⋊C4—42no—
1210C4⋊C4—41no—
1211C4⋊C4—42no—
1212C4⋊C4—41no—
1213C4⋊C4—42no—
1214C4⋊C4—44no—
1215C4⋊C4—42no—
1216C4⋊C4—44no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—44no—
1220C4⋊C4C2×#4118yes—
1221C22⋊C4—28no—
1222C22⋊C4—28no—
1223C22⋊C4—24no—
1224C22⋊C4—28no—
1225C22⋊C4—24no—
1226C22⋊C4—24no—
1227C22⋊C4—24no—
1228C22⋊C4—28no—
1229C22⋊C4—24no—
1230C22⋊C4—24no—
1231C22⋊C4—28no—
1232C22⋊C4—28no—
1233C22⋊C4—28no—
1234C22⋊C4—28no—
1235C22⋊C4—28no—
1236C22⋊C4—28no—
1237C22⋊C4—24no—
1238C22⋊C4—28no—
1239C22⋊C4—24no—
1240C22⋊C4—24no—
1241C22⋊C4—28no—
1242C22⋊C4—28no—
1243C22⋊C4—24no—
1244C22⋊C4—24no—
1245C22⋊C4—42no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—42no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—42no—
1258C22⋊C4—44no—
1259C22⋊C4—42no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—44no—
1278C22⋊C4—42no—
1279C22⋊C4C2×#41116yes—
1280C42—24no—
1281C42—28no—
1282C42—24no—
1283C42—24no—
1284C42—28no—
1285C42—28no—
1286C42—28no—
1287C42—24no—
1288C42—24no—
1289C42—22no—
1290C42—22no—
1291C42—22no—
1292C42—24no—
1293C42—22no—
1294C42—24no—
1295C42—41no—
1296C42—42no—
1297C42—44no—
1298C42—44no—
1299C42—44no—
1300C42—42no—
1301C42—44no—
1302C42—44no—
1303C42—42no—
1304C42—42no—
1305C42—42no—
1306C42—44no—
1307C42—42no—
1308C42C2×#4118yes—
1309C23—24no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—24no—
1315C23—22no—
1316C23—24no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—24no—
1321C23—24no—
1322C23—22no—
1323C23—22no—
1324C23—24no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—24no—
1330C23—22no—
1331C23—24no—
1332C23—22no—
1333C23—416no—
1334C23—88no—
1335C23—88no—
1336C23—88no—
1337C23—88no—
1338C23—88no—
1339C23—88no—
1340C23C22×#4118yes—
1341C23C2×H(5,𝔽2)14yes—
1342C23C2611yescharacteristic
1343Q8—48no—
1344Q8—82no—
1345Q8—82no—
1346Q8—162no—
1347Q8—162no—
1348D4—44no—
1349D4—416no—
1350D4—416no—
1351D4—48no—
1352D4—84no—
1353D4—88no—
1354D4—84no—
1355D4—82no—
1356D4—84no—
1357D4—88no—
1358D4—162no—
1359D4—164no—
1360D4#555116yes—
1361C2×C4—22no—
1362C2×C4—21no—
1363C2×C4—22no—
1364C2×C4—24no—
1365C2×C4—24no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—21no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—24no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—24no—
1376C2×C4—24no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—24no—
1381C2×C4—22no—
1382C2×C4—21no—
1383C2×C4—22no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—22no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—24no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—24no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—21no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—24no—
1405C2×C4—22no—
1406C2×C4—24no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—21no—
1413C2×C4—24no—
1414C2×C4—22no—
1415C2×C4—24no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—24no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—416no—
1424C2×C4—48no—
1425C2×C4—416no—
1426C2×C4—48no—
1427C2×C4—48no—
1428C2×C4—416no—
1429C2×C4—48no—
1430C2×C4—48no—
1431C2×C4—88no—
1432C2×C4—88no—
1433C2×C4—88no—
1434C2×C4—84no—
1435C2×C4—84no—
1436C2×C4—88no—
1437C2×C4C22×#4114yes—
1438C2×C4C22×#4118yes—
1439C2×C4C22×#4114yes—
1440C2×C4C22×#4114yes—
1441C2×C4C2×H(5,𝔽2)12yes—
1442C2×C4#58514yes—
1443C2×C4#58512yes—
1444C22—28no—
1445C22—24no—
1446C22—28no—
1447C22—24no—
1448C22—42no—
1449C22—44no—
1450C22—42no—
1451C22—42no—
1452C22—44no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—44no—
1457C22—42no—
1458C22—44no—
1459C22—42no—
1460C22—44no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22—44no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—44no—
1469C22—1616no—
1470C22C2×#55518yes—
1471C22C23×#4112yes—
1472C22C22×H(5,𝔽2)11yescharacteristic
1473C22C2×#58512yes—
1474C22C2×#58511yescharacteristic
1475C22H(7,𝔽2)11yescharacteristic
1476C4—24no—
1477C4—24no—
1478C4—24no—
1479C4—28no—
1480C4—22no—
1481C4—44no—
1482C4—44no—
1483C4—42no—
1484C4—41no—
1485C4—41no—
1486C4—42no—
1487C4—42no—
1488C4—42no—
1489C4—41no—
1490C4—42no—
1491C4—42no—
1492C4—42no—
1493C4—42no—
1494C4—44no—
1495C4—41no—
1496C4—41no—
1497C4—42no—
1498C4—42no—
1499C4—44no—
1500C4C2×#55514yes—
1501C2—28no—
1502C2—82no—
1503C2—84no—
1504C2—82no—
1505C2C22×#55511yescharacteristic
1506C2#6278112yes—
1507C2#6291811yescharacteristic
1508C2#6300812yes—
1509C2#6302111yescharacteristic
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. #59951C2semidirect
2. #59950C2semidirect
3. #59947C2semidirect
4. #59894C2semidirect
5. #59228C2semidirect
6. #59226C2semidirect
7. #45408C2semidirect
8. #45369C2semidirect
9. #45133C2semidirect
10. #43938C2semidirect
11. #43621C2semidirect
12. #43150C2semidirect
13. #38289C2semidirect
14. #38280C2semidirect
15. #37952C2semidirect
16. #37950C2semidirect
17. #36373C2semidirect
18. #36289C2semidirect
19. #36257C2semidirect
20. #36238C2semidirect
21. #36218C2semidirect
22. #36042C2semidirect
23. #35950C2semidirect
24. #35761C2semidirect
25. #34874C2semidirect
26. C2×#2593C2semidirect
27. #34292C2semidirect
28. #34261C2semidirect
29. #34127C2semidirect
38. #2861C22semidirect
40. #2854C22semidirect
42. #2850C22semidirect
43. #2850C22semidirect
44. #2808C22semidirect
46. #2803C22semidirect
47. #2795C22semidirect
48. #2785C22semidirect
49. #2785C22semidirect
50. #2785C22semidirect
51. #2784C22semidirect
52. #2783C22semidirect
53. #2781C22semidirect
54. #2781C22semidirect
55. #2781C22semidirect
56. #2775C22semidirect
57. #2775C22semidirect
58. #2769C22semidirect
59. #2756C22semidirect
60. #2756C22semidirect
61. #2756C22semidirect
62. #2744C22semidirect
63. #2744C22semidirect
64. #2733C22semidirect
66. #2699C22semidirect
67. #2686C22semidirect
68. #2660C22semidirect
69. #2659C22semidirect
70. #2642C22semidirect
71. #2639C22semidirect
74. #2612C22semidirect
76. #2610C22semidirect
77. #2610C22semidirect
78. #2609C22semidirect
79. #2609C22semidirect
83. #2593C22semidirect
84. #2593C22semidirect
85. #2593C22semidirect
86. #2593C22semidirect
87. #2593C22semidirect
88. #2593C22semidirect
89. #2593C22semidirect
90. #2593C22semidirect
91. #2592C22semidirect
92. #2591C22semidirect
93. #2591C22semidirect
94. #2584C22semidirect
95. #2583C22semidirect
96. #2574C22semidirect
97. #2574C22semidirect
98. #2572C22semidirect
99. #2568C22semidirect
101. #2562C22semidirect
102. #2562C22semidirect
103. #2561C22semidirect
105. #2552C22semidirect
106. #2550C22semidirect
107. #2549C22semidirect
109. #2546C22semidirect
110. #2545C22semidirect
112. #2543C22semidirect
114. #2536C22semidirect
116. #2534C22semidirect
117. #2532C22semidirect
118. #2532C22semidirect
119. #2531C22semidirect
120. #2531C22semidirect
121. #2529C22semidirect
122. #2529C22semidirect
123. #2529C22semidirect
124. #2529C22semidirect
125. #2526C22semidirect
126. #2526C22semidirect
127. #2518C22semidirect
128. #2513C22semidirect
129. #2508C22semidirect
131. #2503C22semidirect
132. #2502C22semidirect
133. #2500C22semidirect
134. #2497C22semidirect
135. #2495C22semidirect
136. #2492C22semidirect
137. #2492C22semidirect
138. #2491C22semidirect
139. #2491C22semidirect
142. #2490C22semidirect
143. #2489C22semidirect
144. #2489C22semidirect
145. #2488C22semidirect
146. #2488C22semidirect
147. #2488C22semidirect
148. #2488C22semidirect
149. #2476C22semidirect
150. #2476C22semidirect
151. #2476C22semidirect
152. #2474C22semidirect
153. #2474C22semidirect
154. #2474C22semidirect
155. #2474C22semidirect
158. #2472C22semidirect
159. #2472C22semidirect
160. #2459C22semidirect
161. #2440C22semidirect
163. #2429C22semidirect
166. #2426C22semidirect
168. #2425C22semidirect
170. #2424C22semidirect
173. #2415C22semidirect
175. #2414C22semidirect
176. #2414C22semidirect
177. #2413C22semidirect
179. #2411C22semidirect
181. #2399C22semidirect
182. #2398C22semidirect
183. C2×#400C22semidirect
185. C2×#398C22semidirect
187. #2372C22semidirect
188. #2369C22semidirect
189. #2367C22semidirect
190. #2363C22semidirect
191. #2363C22semidirect
192. #2362C22semidirect
193. #2361C22semidirect
194. #2359C22semidirect
195. #2358C22semidirect
196. #2357C22semidirect
197. #2355C22semidirect
198. #2355C22semidirect
199. #2354C22semidirect
200. #2354C22semidirect
201. #2354C22semidirect
202. #2353C22semidirect
203. #2352C22semidirect
204. #2352C22semidirect
205. #2352C22semidirect
209. #2347C22semidirect
210. #2347C22semidirect
211. #2347C22semidirect
212. #2346C22semidirect
213. #2346C22semidirect
214. #2343C22semidirect
215. #2343C22semidirect
216. #2342C22semidirect
217. #2342C22semidirect
218. #2342C22semidirect
225. #2326C22semidirect
226. #2325C22semidirect
227. #2323C22semidirect
228. #2321C22semidirect
229. #2319C22semidirect
230. #2318C22semidirect
231. #2314C22semidirect
232. #2312C22semidirect
234. C4×#124C22semidirect
235. C4×#123C22semidirect
236. C4×#121C22semidirect
237. C4×#121C22semidirect
238. #2298C22semidirect
239. #2295C22semidirect
240. #2295C22semidirect
241. #2293C22semidirect
243. #2290C22semidirect
244. #2290C22semidirect
245. #2290C22semidirect
246. #2290C22semidirect
247. C2×#388C22semidirect
248. C2×#388C22semidirect
249. C2×#388C22semidirect
250. C2×#388C22semidirect
251. #2285C22semidirect
252. #2283C22semidirect
257. C4×#117C22semidirect
258. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#599512
#599502
#599472
#598942
#592282
#592262
#454082
#453692
#451332
#439382
#436212
#431502
#382892
#382802
#379522
#379502
#363732
#362892
#362572
#362382
#362182
#360422
#359502
#357612
#348742
C2×#25932
#342922
#342612
#341272