Finite Group Databasebeta

← #7697163

Subgroups — #7697163

Order 512.

5017 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59863C211yesmaximal, characteristic, complemented
2#59861C212yesmaximal, complemented
3#59520C214yesmaximal, complemented
4#59224C212yesmaximal, complemented
5#52280C212yesmaximal, complemented
6#52152C211yesmaximal, characteristic, complemented
7#45132C212yesmaximal, complemented
8#44907C212yesmaximal, complemented
9#44903C212yesmaximal, complemented
10#44124C214yesmaximal, complemented
11#44004C214yesmaximal, complemented
12#43973C214yesmaximal, complemented
13#40352C214yesmaximal, complemented
14#39583C212yesmaximal, complemented
15#39500C211yesmaximal, characteristic, complemented
16#39493C211yesmaximal, characteristic, complemented
17#38466C212yesmaximal, complemented
18#38306C214yesmaximal, complemented
19#38026C212yesmaximal, complemented
20#37984C212yesmaximal, complemented
21#36494C212yesmaximal, complemented
22#36476C211yesmaximal, characteristic, complemented
23#35989C212yesmaximal, complemented
24#35785C212yesmaximal, complemented
25#35730C212yesmaximal, complemented
26#34316C211yesmaximal, characteristic, complemented
27#34310C211yesmaximal, characteristic, complemented
28#34255C212yesmaximal, complemented
29#34244C212yesmaximal, complemented
30C2×#547C2211yescharacteristic
31C2×D42C2211yescharacteristic
32C2×#529C2212yes—
33C2×#518C2212yes—
34#2865C2214yescomplemented
35#2862C2211yescharacteristic, complemented
36#2855C2212yescomplemented
37#2854C2212yes—
38#2808C2212yescomplemented
39#2808C2212yescomplemented
40#2808C2212yescomplemented
41#2808C2212yescomplemented
42#2806C2212yescomplemented
43#2805C2212yescomplemented
44#2804C2212yes—
45#2803C2214yescomplemented
46#2787C2214yescomplemented
47#2781C2214yescomplemented
48#2779C2214yescomplemented
49#2778C2214yescomplemented
50#2775C2214yescomplemented
51#2756C2214yescomplemented
52#2752C2214yescomplemented
53#2751C2214yescomplemented
54#2751C2214yescomplemented
55#2745C2214yescomplemented
56#2743C2214yescomplemented
57#2738C2214yescomplemented
58#2737C2214yescomplemented
59#2735C2214yescomplemented
60#2733C2212yescomplemented
61#2733C2212yescomplemented
62#2732C2212yes—
63#2730C2214yescomplemented
64#2727C2211yescharacteristic, complemented
65#2726C2211yescharacteristic, complemented
66#2725C2212yescomplemented
67#2724C2211yescharacteristic
68#2718C2212yescomplemented
69#2714C2214yes—
70#2714C2214yescomplemented
71#2711C2214yes—
72#2710C2212yescomplemented
73#2701C2212yes—
74#2689C2212yescomplemented
75#2685C2214yes—
76#2685C2214yescomplemented
77#2682C2211yescharacteristic
78#2674C2212yescomplemented
79#2670C2214yes—
80#2650C2214yescomplemented
81#2648C2214yescomplemented
82#2638C2214yescomplemented
83#2628C2212yescomplemented
84#2624C2212yes—
85#2619C2212yes—
86#2610C2214yescomplemented
87#2607C2214yescomplemented
88#2604C2214yescomplemented
89#2601C2214yescomplemented
90#2597C2214yescomplemented
91#2597C2214yescomplemented
92#2595C2214yescomplemented
93#2594C2214yescomplemented
94#2593C2214yescomplemented
95#2592C2214yescomplemented
96#2589C2214yescomplemented
97#2589C2214yescomplemented
98#2580C2212yes—
99#2576C2214yescomplemented
100#2575C2214yescomplemented
101#2570C2212yescomplemented
102#2570C2212yescomplemented
103#2563C2211yescharacteristic
104#2563C2212yescomplemented
105#2561C2214yescomplemented
106#2561C2214yescomplemented
107#2561C2214yescomplemented
108#2560C2214yescomplemented
109#2559C2214yescomplemented
110#2557C2214yescomplemented
111#2553C2214yescomplemented
112#2548C2212yes—
113#2547C2212yescomplemented
114#2542C2211yescharacteristic
115#2539C2214yes—
116#2535C2212yescomplemented
117#2531C2214yescomplemented
118#2531C2214yescomplemented
119#2530C2214yescomplemented
120#2527C2214yescomplemented
121#2522C2214yescomplemented
122#2521C2214yescomplemented
123#2516C2214yescomplemented
124#2513C2212yescomplemented
125#2513C2212yescomplemented
126#2513C2212yescomplemented
127#2512C2212yescomplemented
128#2509C2212yescomplemented
129#2508C2212yescomplemented
130#2500C2212yescomplemented
131#2500C2212yescomplemented
132#2496C2212yescomplemented
133#2494C2212yescomplemented
134#2492C2212yescomplemented
135#2491C2212yescomplemented
136#2491C2212yescomplemented
137#2485C2214yescomplemented
138#2484C2214yescomplemented
139#2481C2214yescomplemented
140#2479C2214yescomplemented
141#2477C2214yescomplemented
142#2476C2214yescomplemented
143#2474C2214yescomplemented
144#2472C2214yes—
145#2472C2214yescomplemented
146#2472C2214yescomplemented
147#2468C2214yescomplemented
148#2467C2214yescomplemented
149#2465C2214yescomplemented
150#2459C2214yescomplemented
151#2459C2214yescomplemented
152#2459C2214yescomplemented
153#2458C2214yescomplemented
154#2458C2214yescomplemented
155#2457C2214yescomplemented
156#2457C2214yescomplemented
157#2457C2214yescomplemented
158#2440C2212yescomplemented
159#2439C2212yescomplemented
160#2427C2214yescomplemented
161#2423C2212yescomplemented
162#2420C2212yes—
163#2420C2212yes—
164#2418C2214yescomplemented
165#2418C2214yescomplemented
166#2416C2212yes—
167#2414C2212yes—
168#2412C2214yescomplemented
169#2410C2214yes—
170#2408C2212yes—
171#2408C2212yes—
172#2405C2214yes—
173#2404C2214yescomplemented
174#2396C2212yescomplemented
175#2395C2214yescomplemented
176#2395C2212yescomplemented
177#2392C2214yescomplemented
178#2392C2212yescomplemented
179#2388C2214yescomplemented
180#2374C2214yes—
181#2374C2214yescomplemented
182#2374C2214yescomplemented
183#2372C2214yescomplemented
184#2371C2214yescomplemented
185#2369C2211yescharacteristic, complemented
186#2366C2211yescharacteristic
187#2365C2211yescharacteristic, complemented
188#2365C2211yescharacteristic, complemented
189#2363C2212yes—
190#2363C2212yes—
191#2362C2212yescomplemented
192#2361C2212yes—
193#2361C2212yescomplemented
194#2361C2212yescomplemented
195#2358C2214yes—
196#2357C2212yes—
197#2357C2212yes—
198#2357C2212yescomplemented
199#2357C2212yescomplemented
200#2355C2212yescomplemented
201#2355C2212yescomplemented
202#2354C2211yescharacteristic
203#2354C2211yescharacteristic
204#2354C2212yes—
205#2354C2211yescharacteristic, complemented
206#2354C2212yescomplemented
207#2354C2212yescomplemented
208#2354C2212yescomplemented
209#2354C2212yescomplemented
210#2352C2212yes—
211#2352C2212yescomplemented
212#2352C2212yescomplemented
213#2352C2212yescomplemented
214D4×C4⋊C4C2211yescharacteristic
215#2345C2212yescomplemented
216#2342C2214yescomplemented
217#2342C2214yescomplemented
218#2342C2214yescomplemented
219#2342C2214yescomplemented
220#2342C2214yescomplemented
221#2341C2212yescomplemented
222D4×C22⋊C4C2212yes—
223D4×C22⋊C4C2212yes—
224#2335C2214yescomplemented
225#2333C2214yes—
226#2332C2214yescomplemented
227#2324C2212yes—
228#2324C2212yes—
229#2321C2214yes—
230#2319C2214yescomplemented
231#2319C2214yescomplemented
232#2317C2212yescomplemented
233#2314C2212yescomplemented
234#2314C2212yescomplemented
235#2309C2212yes—
236C4×C4⋊Q8C2211yescharacteristic, complemented
237C4×C4⋊Q8C2211yescharacteristic, complemented
238C4×#127C2211yescharacteristic
239C4×#126C2214yescomplemented
240C4×#126C2214yescomplemented
241C4×#124C2214yescomplemented
242C4×C22⋊Q8C2212yescomplemented
243C4×C22⋊Q8C2212yescomplemented
244C4×#123C2212yescomplemented
245C4×#121C2212yes—
246#2297C2212yescomplemented
247#2296C2212yescomplemented
248#2293C2211yescharacteristic
249#2293C2211yescharacteristic, complemented
250#2293C2214yescomplemented
251#2293C2214yescomplemented
252C2×#390C2212yes—
253C2×#390C2212yes—
254#2283C2212yescomplemented
255#2274C2212yescomplemented
256#2274C2212yescomplemented
257C42×D4C2211yescharacteristic
258C4×#117C2212yescomplemented
259C22×#41C2312yes—
260C23×D4C2312yes—
261C23×D4C2312yes—
262#547—28no—
263D42—28no—
264C2×C4⋊Q8C2311yescharacteristic
265C2×C4⋊Q8C2311yescharacteristic
266C2×C4⋊Q8C2311yescharacteristic
267C2×C4⋊Q8C2311yescharacteristic
268C2×#127C2311yescharacteristic
269#529—216no—
270C2×#126C2312yes—
271C2×#126C2312yes—
272C2×#126C2314yes—
273C2×#126C2314yes—
274C2×#125C2312yes—
275C2×#124C2312yes—
276C2×#124C2314yes—
277C2×#124C2314yes—
278C2×#124C2314yes—
279C2×#123C2314yes—
280C2×#123C2312yes—
281C2×#123C2312yes—
282C2×#123C2312yes—
283C2×#123C2314yes—
284C2×C22⋊Q8C2312yes—
285C2×C22⋊Q8C2312yes—
286C2×C22⋊Q8C2312yes—
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2314yes—
289C2×#121C2312yes—
290C2×#121C2312yes—
291C2×#121C2312yes—
292C2×#121C2312yes—
293C2×#121C2312yes—
294C2×#121C2312yes—
295C2×#121C2314yes—
296C2×#120C2314yes—
297C2×#120C2314yes—
298C2×#120C2314yes—
299#518—216no—
300C2×C4×Q8C2312yes—
301C2×C4×Q8C2312yes—
302C2×C4×Q8C2312yes—
303C2×C4×Q8C2312yes—
304C2×C4×D4C2312yes—
305C2×C4×D4C2314yes—
306C2×C4×D4C2314yes—
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2312yes—
309C2×C4×D4C2312yes—
310C2×C4×D4C2312yes—
311C2×C4×D4C2312yes—
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2312yes—
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2312yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2314yes—
318C2×C4×D4C2314yes—
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×#117C2312yes—
322C2×#117C2312yes—
323C2×#117C2312yes—
324C2×#117C2312yes—
325C2×#117C2312yes—
326C2×#117C2312yes—
327C2×#117C2314yes—
328C2×#117C2312yes—
329C2×#117C2314yes—
330C2×#117C2314yes—
331C22×C4⋊C4C2312yes—
332C22×C4⋊C4C2312yes—
333C22×C4⋊C4C2312yes—
334C22×C22⋊C4C2314yes—
335C22×C22⋊C4C2314yes—
336C22×C22⋊C4C2314yes—
337C22×C22⋊C4C2314yes—
338C22×C22⋊C4C2314yes—
339C22×C42C2312yes—
340C22×C42C2312yes—
341#401C2314yes—
342#400C2314yes—
343#400C2314yes—
344#400C2312yes—
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#400C2314yes—
349#400C2312yes—
350#400C2314yes—
351#399C2314yes—
352#399C2314yes—
353#399C2314yes—
354#399C2314yes—
355#399C2312yes—
356#399C2312yes—
357#398C2312yes—
358#398C2314yes—
359#398C2314yes—
360#398C2314yes—
361#398C2312yes—
362#398C2312yes—
363#398C2312yes—
364#398C2314yes—
365#397C2314yes—
366#397C2312yes—
367#397C2312yes—
368#397C2314yes—
369#397C2314yes—
370#397C2314yes—
371#397C2314yes—
372#397C2314yes—
373#397C2314yes—
374#397C2314yes—
375#397C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2312yes—
379#397C2312yes—
380#397C2314yes—
381#397C2314yes—
382#396C2314yes—
383#396C2314yes—
384#396C2312yes—
385#396C2312yes—
386#396C2312yes—
387#396C2314yes—
388#396C2312yes—
389#395C2314yes—
390#395C2314yes—
391#395C2312yes—
392#394C2314yes—
393#394C2314yes—
394#394C2314yes—
395#394C2314yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#394C2314yes—
402#394C2312yes—
403#394C2314yes—
404#394C2314yes—
405#394C2312yes—
406#394C2312yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2312yes—
413#394C2312yes—
414#394C2314yes—
415#393C2314yes—
416#393C2314yes—
417#393C2314yes—
418#393C2314yes—
419#393C2314yes—
420#393C2314yes—
421#393C2314yes—
422#393C2314yes—
423#393C2312yes—
424#392C2314yes—
425#392C2314yes—
426#392C2314yes—
427#392C2314yes—
428#392C2314yes—
429#392C2312yes—
430#392C2314yes—
431#391C2314yes—
432#391C2312yes—
433#391C2312yes—
434#391C2314yes—
435#391C2314yes—
436#391C2312yes—
437#391C2312yes—
438#391C2314yes—
439#391C2312yes—
440#391C2312yes—
441#391C2312yes—
442#391C2312yes—
443#390C2314yes—
444#390C2312yes—
445#390C2312yes—
446#390C2312yes—
447#390C2312yes—
448#390C2312yes—
449#390C2312yes—
450#390C2314yes—
451#390C2312yes—
452#390C2312yes—
453#390C2312yes—
454#390C2312yes—
455#390C2314yes—
456#390C2314yes—
457#390C2312yes—
458#390C2314yes—
459#390C2312yes—
460#390C2314yes—
461#390C2314yes—
462#390C2314yes—
463#390C2312yes—
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2312yes—
467#390C2314yes—
468#390C2314yes—
469#390C2312yes—
470#390C2312yes—
471#390C2311yescharacteristic
472#390C2311yescharacteristic
473#390C2314yes—
474#389C2312yes—
475#389C2312yes—
476#389C2311yescharacteristic
477#389C2312yes—
478#389C2311yescharacteristic
479#389C2312yes—
480#389C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2314yes—
484#389C2314yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2314yes—
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2312yes—
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2312yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2312yes—
532#388C2314yes—
533#388C2312yes—
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#388C2312yes—
550#388C2312yes—
551#388C2314yes—
552#388C2312yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2312yes—
577#387C2314yes—
578#387C2314yes—
579#387C2312yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2312yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2312yes—
611#385C2312yes—
612#385C2312yes—
613#385C2312yes—
614#385C2312yes—
615#384C2311yescharacteristic
616#384C2311yescharacteristic
617#384C2311yescharacteristic
618#384C2312yes—
619#384C2312yes—
620#383C2314yes—
621#382C2312yes—
622#382C2312yes—
623#382C2312yes—
624#382C2312yes—
625#382C2312yes—
626#382C2312yes—
627#382C2314yes—
628#381C2312yes—
629#381C2314yes—
630#381C2314yes—
631#381C2314yes—
632#381C2314yes—
633#381C2314yes—
634#381C2314yes—
635#381C2314yes—
636#380C2312yes—
637#380C2312yes—
638#380C2314yes—
639#380C2314yes—
640#380C2312yes—
641#380C2312yes—
642#380C2312yes—
643#380C2312yes—
644#380C2312yes—
645#380C2314yes—
646#380C2314yes—
647#380C2314yes—
648#380C2312yes—
649#380C2314yes—
650#380C2312yes—
651#380C2312yes—
652#379C2314yes—
653#379C2314yes—
654#379C2314yes—
655#379C2314yes—
656#379C2314yes—
657C4×C4⋊C4C2312yes—
658C4×C4⋊C4C2314yes—
659C4×C4⋊C4C2314yes—
660C4×C4⋊C4C2314yes—
661C4×C4⋊C4C2314yes—
662C4×C4⋊C4C2314yes—
663C4×C4⋊C4C2311yescharacteristic
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2312yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2311yescharacteristic
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2311yescharacteristic
672C4×C4⋊C4C2311yescharacteristic
673C4×C4⋊C4C2314yes—
674C4×C4⋊C4C2314yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2311yescharacteristic
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2311yescharacteristic
683C4×C4⋊C4C2311yescharacteristic
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712#376C2314yes—
713#376C2314yes—
714C43C2314yes—
715C43C2311yescharacteristic
716C25C2414yes—
717C2×#41—28no—
718C2×#41—82no—
719C2×#41—82no—
720C22×Q8C2412yes—
721C22×Q8C2412yes—
722C22×Q8C2412yes—
723C22×Q8C2412yes—
724C22×D4—28no—
725C22×D4—28no—
726C22×D4—28no—
727C22×D4—44no—
728C22×D4—82no—
729C22×D4—82no—
730C22×D4C2412yes—
731C22×D4C2414yes—
732C22×D4C2411yescharacteristic
733C22×D4C2412yes—
734C22×D4C2412yes—
735C22×D4C2412yes—
736C22×D4C2412yes—
737C22×D4C2411yescharacteristic
738C22×D4C2414yes—
739C22×D4C2414yes—
740C22×D4C2414yes—
741C22×D4C2414yes—
742C22×D4C2411yescharacteristic
743C23×C4C2412yes—
744C23×C4C2412yes—
745C23×C4C2414yes—
746C23×C4C2412yes—
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2414yes—
750C23×C4C2414yes—
751C23×C4C2414yes—
752C23×C4C2412yes—
753C23×C4C2414yes—
754C23×C4C2412yes—
755C4⋊Q8—24no—
756C4⋊Q8—42no—
757C4⋊Q8—42no—
758C4⋊Q8—42no—
759#127—24no—
760#126—28no—
761#126—28no—
762#126—84no—
763#126—84no—
764#125—28no—
765#124—28no—
766#124—48no—
767#124—84no—
768#124—84no—
769#123—28no—
770#123—28no—
771#123—216no—
772#123—44no—
773#123—84no—
774C22⋊Q8—28no—
775C22⋊Q8—28no—
776C22⋊Q8—44no—
777C22⋊Q8—82no—
778C22⋊Q8—84no—
779#121—28no—
780#121—28no—
781#121—28no—
782#121—28no—
783#121—44no—
784#121—44no—
785#121—84no—
786#120—216no—
787#120—84no—
788#120—84no—
789C4×Q8—28no—
790C4×Q8—82no—
791C4×Q8—82no—
792C4×Q8—82no—
793C4×D4—28no—
794C4×D4—216no—
795C4×D4—28no—
796C4×D4—28no—
797C4×D4—28no—
798C4×D4—216no—
799C4×D4—28no—
800C4×D4—24no—
801C4×D4—24no—
802C4×D4—44no—
803C4×D4—42no—
804C4×D4—82no—
805C4×D4—84no—
806C4×D4—82no—
807C4×D4—84no—
808C4×D4#4118yes—
809C4×D4#4118yescomplemented
810#117—28no—
811#117—28no—
812#117—28no—
813#117—28no—
814#117—44no—
815#117—44no—
816#117—82no—
817#117—84no—
818#117—84no—
819#117—84no—
820C2×C4⋊C4—28no—
821C2×C4⋊C4—44no—
822C2×C4⋊C4—82no—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2411yescharacteristic
878C2×C22⋊C4—216no—
879C2×C22⋊C4—216no—
880C2×C22⋊C4—48no—
881C2×C22⋊C4—84no—
882C2×C22⋊C4—84no—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C42—28no—
945C2×C42—82no—
946C2×C42C2412yes—
947C2×C42C2414yes—
948C2×C42C2412yes—
949C2×C42C2412yes—
950C2×C42C2411yescharacteristic
951C2×C42C2412yes—
952C2×C42C2411yescharacteristic
953C2×C42C2412yes—
954C2×C42C2412yes—
955C2×C42C2414yes—
956C2×C42C2414yes—
957C2×C42C2414yes—
958C2×C42C2414yes—
959C2×C42C2414yes—
960C2×C42C2414yes—
961C2×C42C2414yes—
962C2×C42C2411yescharacteristic
963C2×C42C2414yes—
964C2×C42C2412yes—
965C2×C42C2411yescharacteristic
966C2×C42C2414yes—
967C2×C42C2414yes—
968C2×C42C2412yes—
969C2×C42C2412yes—
970C2×C42C2414yes—
971C2×C42C2411yescharacteristic
972C2×C42C2411yescharacteristic
973C2×C42C2411yescharacteristic
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2412yes—
983#95C2412yes—
984#95C2412yes—
985#95C2412yes—
986#95C2414yes—
987#95C2414yes—
988#95C2412yes—
989#95C2412yes—
990#95C2412yes—
991#95C2414yes—
992#95C2412yes—
993#95C2412yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2414yes—
1023#95C2412yes—
1024#95C2414yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029C24—28no—
1030C24—28no—
1031C24—44no—
1032C24—44no—
1033C24—44no—
1034C24—44no—
1035C24—44no—
1036C24C2514yes—
1037C24C2512yes—
1038C24C2512yes—
1039C24C2512yes—
1040#41—816no—
1041C2×Q8—24no—
1042C2×Q8—24no—
1043C2×Q8—24no—
1044C2×Q8—42no—
1045C2×Q8—42no—
1046C2×Q8—42no—
1047C2×Q8—42no—
1048C2×Q8—42no—
1049C2×Q8—42no—
1050C2×Q8—42no—
1051C2×Q8—42no—
1052C2×Q8—42no—
1053C2×D4—28no—
1054C2×D4—24no—
1055C2×D4—24no—
1056C2×D4—28no—
1057C2×D4—28no—
1058C2×D4—22no—
1059C2×D4—24no—
1060C2×D4—22no—
1061C2×D4—28no—
1062C2×D4—24no—
1063C2×D4—24no—
1064C2×D4—24no—
1065C2×D4—22no—
1066C2×D4—24no—
1067C2×D4—432no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—44no—
1071C2×D4—41no—
1072C2×D4—41no—
1073C2×D4—41no—
1074C2×D4—41no—
1075C2×D4—42no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—42no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—42no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—42no—
1091C2×D4—816no—
1092C2×D4C2×#4114yes—
1093C2×D4C2×#4114yes—
1094C22×C4—24no—
1095C22×C4—24no—
1096C22×C4—24no—
1097C22×C4—24no—
1098C22×C4—28no—
1099C22×C4—24no—
1100C22×C4—24no—
1101C22×C4—24no—
1102C22×C4—24no—
1103C22×C4—28no—
1104C22×C4—28no—
1105C22×C4—28no—
1106C22×C4—24no—
1107C22×C4—42no—
1108C22×C4—42no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—44no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—44no—
1116C22×C4—44no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—42no—
1120C22×C4—44no—
1121C22×C4—44no—
1122C22×C4—44no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—44no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4C2×#4118yes—
1129C22×C4C2×#4118yes—
1130C22×C4C2512yes—
1131C22×C4C2514yes—
1132C22×C4C2514yes—
1133C22×C4C2512yes—
1134C22×C4C2514yes—
1135C22×C4C2514yes—
1136C22×C4C2512yes—
1137C22×C4C2512yes—
1138C22×C4C2512yes—
1139C22×C4C2512yes—
1140C22×C4C2512yes—
1141C22×C4C2511yescharacteristic
1142C22×C4C2512yes—
1143C22×C4C2512yes—
1144C22×C4C2512yes—
1145C22×C4C2514yes—
1146C22×C4C2512yes—
1147C22×C4C2512yes—
1148C22×C4C2511yescharacteristic
1149C22×C4C2512yes—
1150C22×C4C2511yescharacteristic
1151C22×C4C2511yescharacteristic
1152C22×C4C2511yescharacteristic
1153C22×C4C2511yescharacteristic
1154C22×C4C2511yescharacteristic
1155C4⋊C4—24no—
1156C4⋊C4—28no—
1157C4⋊C4—24no—
1158C4⋊C4—24no—
1159C4⋊C4—24no—
1160C4⋊C4—24no—
1161C4⋊C4—24no—
1162C4⋊C4—24no—
1163C4⋊C4—24no—
1164C4⋊C4—22no—
1165C4⋊C4—22no—
1166C4⋊C4—24no—
1167C4⋊C4—24no—
1168C4⋊C4—24no—
1169C4⋊C4—24no—
1170C4⋊C4—24no—
1171C4⋊C4—24no—
1172C4⋊C4—24no—
1173C4⋊C4—24no—
1174C4⋊C4—22no—
1175C4⋊C4—24no—
1176C4⋊C4—22no—
1177C4⋊C4—22no—
1178C4⋊C4—44no—
1179C4⋊C4—41no—
1180C4⋊C4—42no—
1181C4⋊C4—44no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—41no—
1185C4⋊C4—42no—
1186C4⋊C4—42no—
1187C4⋊C4—42no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—42no—
1191C4⋊C4—41no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—41no—
1202C4⋊C4—44no—
1203C4⋊C4—42no—
1204C4⋊C4—42no—
1205C4⋊C4—42no—
1206C4⋊C4—42no—
1207C4⋊C4—42no—
1208C4⋊C4C2×#4114yes—
1209C4⋊C4C2×#4114yes—
1210C22⋊C4—28no—
1211C22⋊C4—24no—
1212C22⋊C4—24no—
1213C22⋊C4—24no—
1214C22⋊C4—24no—
1215C22⋊C4—28no—
1216C22⋊C4—28no—
1217C22⋊C4—24no—
1218C22⋊C4—24no—
1219C22⋊C4—28no—
1220C22⋊C4—28no—
1221C22⋊C4—24no—
1222C22⋊C4—24no—
1223C22⋊C4—24no—
1224C22⋊C4—24no—
1225C22⋊C4—24no—
1226C22⋊C4—24no—
1227C22⋊C4—28no—
1228C22⋊C4—24no—
1229C22⋊C4—28no—
1230C22⋊C4—24no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
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—42no—
1262C22⋊C4—42no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—42no—
1267C22⋊C4—44no—
1268C22⋊C4—42no—
1269C22⋊C4C2×#4118yes—
1270C22⋊C4C2×#4118yes—
1271C42—24no—
1272C42—24no—
1273C42—24no—
1274C42—24no—
1275C42—28no—
1276C42—24no—
1277C42—24no—
1278C42—22no—
1279C42—22no—
1280C42—41no—
1281C42—42no—
1282C42—42no—
1283C42—42no—
1284C42—44no—
1285C42—44no—
1286C42—44no—
1287C42—44no—
1288C42—44no—
1289C42—44no—
1290C42—44no—
1291C42—41no—
1292C42—44no—
1293C42—41no—
1294C42—44no—
1295C42—44no—
1296C42—44no—
1297C42C2×#4114yes—
1298C42C2×#4114yes—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—24no—
1313C23—22no—
1314C23—24no—
1315C23—22no—
1316C23—24no—
1317C23—22no—
1318C23—24no—
1319C23—22no—
1320C23—24no—
1321C23—24no—
1322C23—24no—
1323C23—22no—
1324C23—22no—
1325C23—416no—
1326C23—88no—
1327C23—88no—
1328C23—88no—
1329C23—88no—
1330C23—164no—
1331C23—164no—
1332C23C22×#4114yes—
1333C23C22×#4114yes—
1334C23C2611yescharacteristic
1335Q8—48no—
1336Q8—84no—
1337Q8—84no—
1338Q8—162no—
1339D4—28no—
1340D4—44no—
1341D4—416no—
1342D4—48no—
1343D4—44no—
1344D4—48no—
1345D4—84no—
1346D4—84no—
1347D4—84no—
1348D4—88no—
1349D4—88no—
1350D4—88no—
1351D4—88no—
1352C2×C4—22no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—22no—
1357C2×C4—21no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—216no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—24no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—24no—
1380C2×C4—21no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—24no—
1385C2×C4—24no—
1386C2×C4—24no—
1387C2×C4—24no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—24no—
1393C2×C4—22no—
1394C2×C4—24no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—24no—
1399C2×C4—22no—
1400C2×C4—24no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—24no—
1407C2×C4—24no—
1408C2×C4—24no—
1409C2×C4—24no—
1410C2×C4—24no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—48no—
1419C2×C4—48no—
1420C2×C4—48no—
1421C2×C4—88no—
1422C2×C4—88no—
1423C2×C4—84no—
1424C2×C4—88no—
1425C2×C4—84no—
1426C2×C4—88no—
1427C2×C4—84no—
1428C2×C4—164no—
1429C2×C4C22×#4114yes—
1430C2×C4C22×#4114yes—
1431C2×C4C22×#4112yes—
1432C2×C4C22×#4112yes—
1433C2×C4C22×#4112yes—
1434C2×C4C22×#4112yes—
1435C2×C4C22×#4112yes—
1436C2×C4C22×#4112yes—
1437C2×C4#58512yes—
1438C2×C4#58512yes—
1439C22—24no—
1440C22—24no—
1441C22—24no—
1442C22—24no—
1443C22—24no—
1444C22—24no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—44no—
1455C22—44no—
1456C22—42no—
1457C22—42no—
1458C22—44no—
1459C22—42no—
1460C22—44no—
1461C22—44no—
1462C22—42no—
1463C22—42no—
1464C22—44no—
1465C22—42no—
1466C22—44no—
1467C22—1616no—
1468C22C23×#4111yescharacteristic
1469C22C23×#4111yescharacteristic
1470C22C2×#58511yescharacteristic
1471C22C2×#58511yescharacteristic
1472C22H(7,𝔽2)11yescharacteristic
1473C22H(7,𝔽2)11yescharacteristic
1474C22H(7,𝔽2)11yescharacteristic
1475C4—22no—
1476C4—22no—
1477C4—22no—
1478C4—24no—
1479C4—22no—
1480C4—24no—
1481C4—22no—
1482C4—42no—
1483C4—42no—
1484C4—42no—
1485C4—44no—
1486C4—42no—
1487C4—44no—
1488C4—44no—
1489C4—41no—
1490C4—42no—
1491C4—44no—
1492C4—42no—
1493C4—42no—
1494C4—42no—
1495C4—42no—
1496C4—42no—
1497C4—42no—
1498C4—44no—
1499C4#347514yes—
1500C2—44no—
1501C2—44no—
1502C2—82no—
1503C2—84no—
1504C2C2×#347511yescharacteristic
1505C2#6284611yescharacteristic
1506C2#6285511yescharacteristic
1507C2#6296511yescharacteristic
1508C2#6299411yescharacteristic
1509C2#6301011yescharacteristic
1510C2#6306011yescharacteristic
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. #59863C2semidirect
2. #59861C2semidirect
3. #59520C2semidirect
4. #59224C2semidirect
5. #52280C2semidirect
6. #52152C2semidirect
7. #45132C2semidirect
8. #44907C2semidirect
9. #44903C2semidirect
10. #44124C2semidirect
11. #44004C2semidirect
12. #43973C2semidirect
13. #40352C2semidirect
14. #39583C2semidirect
15. #39500C2semidirect
16. #39493C2semidirect
17. #38466C2semidirect
18. #38306C2semidirect
19. #38026C2semidirect
20. #37984C2semidirect
21. #36494C2semidirect
22. #36476C2semidirect
23. #35989C2semidirect
24. #35785C2semidirect
25. #35730C2semidirect
26. #34316C2semidirect
27. #34310C2semidirect
28. #34255C2semidirect
29. #34244C2semidirect
34. #2865C22semidirect
35. #2862C22semidirect
36. #2855C22semidirect
38. #2808C22semidirect
39. #2808C22semidirect
40. #2808C22semidirect
41. #2808C22semidirect
42. #2806C22semidirect
43. #2805C22semidirect
45. #2803C22semidirect
46. #2787C22semidirect
47. #2781C22semidirect
48. #2779C22semidirect
49. #2778C22semidirect
50. #2775C22semidirect
51. #2756C22semidirect
52. #2752C22semidirect
53. #2751C22semidirect
54. #2751C22semidirect
55. #2745C22semidirect
56. #2743C22semidirect
57. #2738C22semidirect
58. #2737C22semidirect
59. #2735C22semidirect
60. #2733C22semidirect
61. #2733C22semidirect
63. #2730C22semidirect
64. #2727C22semidirect
65. #2726C22semidirect
66. #2725C22semidirect
68. #2718C22semidirect
70. #2714C22semidirect
72. #2710C22semidirect
74. #2689C22semidirect
76. #2685C22semidirect
78. #2674C22semidirect
80. #2650C22semidirect
81. #2648C22semidirect
82. #2638C22semidirect
83. #2628C22semidirect
86. #2610C22semidirect
87. #2607C22semidirect
88. #2604C22semidirect
89. #2601C22semidirect
90. #2597C22semidirect
91. #2597C22semidirect
92. #2595C22semidirect
93. #2594C22semidirect
94. #2593C22semidirect
95. #2592C22semidirect
96. #2589C22semidirect
97. #2589C22semidirect
99. #2576C22semidirect
100. #2575C22semidirect
101. #2570C22semidirect
102. #2570C22semidirect
104. #2563C22semidirect
105. #2561C22semidirect
106. #2561C22semidirect
107. #2561C22semidirect
108. #2560C22semidirect
109. #2559C22semidirect
110. #2557C22semidirect
111. #2553C22semidirect
113. #2547C22semidirect
116. #2535C22semidirect
117. #2531C22semidirect
118. #2531C22semidirect
119. #2530C22semidirect
120. #2527C22semidirect
121. #2522C22semidirect
122. #2521C22semidirect
123. #2516C22semidirect
124. #2513C22semidirect
125. #2513C22semidirect
126. #2513C22semidirect
127. #2512C22semidirect
128. #2509C22semidirect
129. #2508C22semidirect
130. #2500C22semidirect
131. #2500C22semidirect
132. #2496C22semidirect
133. #2494C22semidirect
134. #2492C22semidirect
135. #2491C22semidirect
136. #2491C22semidirect
137. #2485C22semidirect
138. #2484C22semidirect
139. #2481C22semidirect
140. #2479C22semidirect
141. #2477C22semidirect
142. #2476C22semidirect
143. #2474C22semidirect
145. #2472C22semidirect
146. #2472C22semidirect
147. #2468C22semidirect
148. #2467C22semidirect
149. #2465C22semidirect
150. #2459C22semidirect
151. #2459C22semidirect
152. #2459C22semidirect
153. #2458C22semidirect
154. #2458C22semidirect
155. #2457C22semidirect
156. #2457C22semidirect
157. #2457C22semidirect
158. #2440C22semidirect
159. #2439C22semidirect
160. #2427C22semidirect
161. #2423C22semidirect
164. #2418C22semidirect
165. #2418C22semidirect
168. #2412C22semidirect
173. #2404C22semidirect
174. #2396C22semidirect
175. #2395C22semidirect
176. #2395C22semidirect
177. #2392C22semidirect
178. #2392C22semidirect
179. #2388C22semidirect
181. #2374C22semidirect
182. #2374C22semidirect
183. #2372C22semidirect
184. #2371C22semidirect
185. #2369C22semidirect
187. #2365C22semidirect
188. #2365C22semidirect
191. #2362C22semidirect
193. #2361C22semidirect
194. #2361C22semidirect
198. #2357C22semidirect
199. #2357C22semidirect
200. #2355C22semidirect
201. #2355C22semidirect
205. #2354C22semidirect
206. #2354C22semidirect
207. #2354C22semidirect
208. #2354C22semidirect
209. #2354C22semidirect
211. #2352C22semidirect
212. #2352C22semidirect
213. #2352C22semidirect
215. #2345C22semidirect
216. #2342C22semidirect
217. #2342C22semidirect
218. #2342C22semidirect
219. #2342C22semidirect
220. #2342C22semidirect
221. #2341C22semidirect
224. #2335C22semidirect
226. #2332C22semidirect
230. #2319C22semidirect
231. #2319C22semidirect
232. #2317C22semidirect
233. #2314C22semidirect
234. #2314C22semidirect
236. C4×C4⋊Q8C22semidirect
237. C4×C4⋊Q8C22semidirect
239. C4×#126C22semidirect
240. C4×#126C22semidirect
241. C4×#124C22semidirect
242. C4×C22⋊Q8C22semidirect
243. C4×C22⋊Q8C22semidirect
244. C4×#123C22semidirect
246. #2297C22semidirect
247. #2296C22semidirect
249. #2293C22semidirect
250. #2293C22semidirect
251. #2293C22semidirect
254. #2283C22semidirect
255. #2274C22semidirect
256. #2274C22semidirect
258. C4×#117C22semidirect
809. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#598632
#598612
#595202
#592242
#522802
#521522
#451322
#449072
#449032
#441242
#440042
#439732
#403522
#395832
#395002
#394932
#384662
#383062
#380262
#379842
#364942
#364762
#359892
#357852
#357302
#343162
#343102
#342552
#342442