Finite Group Databasebeta

← #7674999

Subgroups — #7674999

Order 512.

4888 conjugacy classes of subgroups.

The subgroup lattice has 1510 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59298C212yesmaximal, complemented
2#59297C212yesmaximal, complemented
3#59295C212yesmaximal, complemented
4#59292C212yesmaximal, complemented
5#59205C212yesmaximal, complemented
6#59203C212yesmaximal, complemented
7#59202C212yesmaximal, complemented
8#59200C212yesmaximal, complemented
9#44472C214yesmaximal, complemented
10#44471C214yesmaximal, complemented
11#43523C214yesmaximal, complemented
12#43522C214yesmaximal, complemented
13#39759C211yesmaximal, characteristic, complemented
14#39631C211yesmaximal, characteristic, complemented
15#39038C214yesmaximal, complemented
16#38973C212yesmaximal, complemented
17#37934C212yesmaximal, complemented
18#37746C212yesmaximal
19#36486C212yesmaximal, complemented
20#36176C211yesmaximal, characteristic, complemented
21#36116C211yesmaximal, characteristic, complemented
22#35459C214yesmaximal, complemented
23#35099C212yesmaximal, complemented
24#35033C211yesmaximal, characteristic, complemented
25#34809C212yesmaximal, complemented
26#34219C212yesmaximal, complemented
27#34194C212yesmaximal, complemented
28C2×#2346C211yesmaximal, characteristic, complemented
29C4×#534C211yesmaximal, characteristic
30C2×#534C2211yescharacteristic
31C2×#529C2212yes—
32C22×C4×D4C2212yes—
33C22×#117C2211yescharacteristic
34#2857C2211yescharacteristic, complemented
35#2857C2211yescharacteristic, complemented
36#2855C2212yescomplemented
37#2854C2212yes—
38#2853C2214yescomplemented
39#2851C2212yescomplemented
40#2810C2212yescomplemented
41#2807C2214yescomplemented
42#2805C2212yescomplemented
43#2798C2214yescomplemented
44#2776C2214yescomplemented
45#2773C2214yescomplemented
46#2771C2214yescomplemented
47#2765C2214yescomplemented
48#2764C2214yescomplemented
49#2761C2214yes—
50#2745C2214yescomplemented
51#2744C2214yescomplemented
52#2744C2214yescomplemented
53#2743C2214yes—
54#2743C2214yes—
55#2738C2214yescomplemented
56#2737C2214yes—
57#2735C2214yescomplemented
58#2735C2214yescomplemented
59#2732C2212yescomplemented
60#2727C2212yescomplemented
61#2695C2214yes—
62#2694C2214yes—
63#2694C2214yescomplemented
64#2685C2214yes—
65#2684C2214yes—
66#2646C2212yescomplemented
67#2643C2214yescomplemented
68#2639C2212yes—
69#2626C2212yes—
70#2626C2212yes—
71#2611C2214yescomplemented
72#2608C2214yescomplemented
73#2607C2214yescomplemented
74#2601C2214yes—
75#2597C2214yescomplemented
76#2594C2214yescomplemented
77#2590C2214yescomplemented
78#2577C2214yescomplemented
79#2576C2214yes—
80#2576C2214yescomplemented
81#2575C2214yescomplemented
82#2575C2214yescomplemented
83#2574C2214yescomplemented
84#2573C2214yescomplemented
85#2573C2214yescomplemented
86#2571C2211yescharacteristic, complemented
87#2570C2212yescomplemented
88#2563C2211yescharacteristic, complemented
89#2562C2212yescomplemented
90#2561C2214yescomplemented
91#2553C2214yescomplemented
92#2552C2211yescharacteristic, complemented
93#2547C2211yescharacteristic, complemented
94#2533C2214yescomplemented
95#2532C2214yescomplemented
96#2532C2214yescomplemented
97#2531C2214yescomplemented
98#2530C2214yescomplemented
99#2529C2214yescomplemented
100#2529C2214yescomplemented
101#2528C2214yescomplemented
102#2528C2214yescomplemented
103#2527C2214yescomplemented
104#2527C2214yescomplemented
105#2526C2214yescomplemented
106#2524C2214yescomplemented
107#2520C2214yescomplemented
108#2519C2214yescomplemented
109#2518C2214yescomplemented
110#2517C2214yescomplemented
111#2516C2214yes—
112#2515C2214yescomplemented
113#2513C2212yescomplemented
114#2509C2212yescomplemented
115#2508C2212yescomplemented
116#2508C2214yescomplemented
117#2508C2212yescomplemented
118#2507C2212yescomplemented
119#2506C2212yescomplemented
120#2505C2214yescomplemented
121#2497C2212yescomplemented
122#2497C2212yescomplemented
123#2496C2212yescomplemented
124#2496C2212yescomplemented
125#2495C2212yescomplemented
126#2495C2212yescomplemented
127#2494C2212yescomplemented
128#2494C2212yescomplemented
129#2493C2214yescomplemented
130#2489C2214yescomplemented
131#2488C2214yescomplemented
132#2488C2214yescomplemented
133#2487C2212yescomplemented
134#2487C2212yescomplemented
135#2487C2212yescomplemented
136#2486C2212yescomplemented
137#2486C2212yescomplemented
138#2486C2212yescomplemented
139#2485C2212yes—
140#2485C2212yes—
141#2485C2212yes—
142#2485C2212yes—
143#2485C2212yescomplemented
144#2485C2212yescomplemented
145#2484C2214yescomplemented
146#2483C2214yes—
147#2482C2214yescomplemented
148#2481C2214yescomplemented
149#2480C2214yescomplemented
150#2478C2214yescomplemented
151#2477C2214yes—
152#2475C2214yescomplemented
153#2473C2214yescomplemented
154#2470C2214yes—
155#2458C2214yes—
156#2453C2212yescomplemented
157#2449C2214yescomplemented
158#2447C2212yescomplemented
159#2443C2214yes—
160#2442C2212yescomplemented
161#2441C2212yescomplemented
162#2441C2212yescomplemented
163#2441C2212yescomplemented
164#2440C2212yescomplemented
165#2439C2212yescomplemented
166#2439C2212yescomplemented
167#2439C2212yescomplemented
168#2425C2214yes—
169#2419C2214yescomplemented
170#2418C2214yes—
171#2411C2214yes—
172#2405C2214yes—
173#2395C2214yes—
174#2395C2214yes—
175#2373C2214yescomplemented
176#2373C2214yescomplemented
177#2372C2214yescomplemented
178#2371C2214yescomplemented
179#2370C2212yescomplemented
180#2369C2211yescharacteristic, complemented
181#2365C2211yescharacteristic, complemented
182#2356C2214yescomplemented
183#2354C2212yes—
184#2354C2212yes—
185#2354C2211yescharacteristic, complemented
186#2353C2214yescomplemented
187#2352C2212yes—
188#2352C2212yes—
189#2352C2212yescomplemented
190#2352C2212yescomplemented
191#2352C2212yescomplemented
192D4×C4⋊C4C2212yescomplemented
193D4×C4⋊C4C2211yescharacteristic, complemented
194D4×C4⋊C4C2212yescomplemented
195#2347C2212yescomplemented
196#2346C2214yescomplemented
197#2346C2214yescomplemented
198#2346C2212yescomplemented
199#2346C2212yescomplemented
200#2346C2212yescomplemented
201#2346C2212yescomplemented
202#2346C2212yescomplemented
203#2346C2214yescomplemented
204#2345C2214yescomplemented
205#2345C2212yescomplemented
206#2344C2212yescomplemented
207#2343C2214yescomplemented
208#2342C2214yes—
209#2342C2214yescomplemented
210D4×C22⋊C4C2214yes—
211#2329C2212yescomplemented
212#2329C2212yescomplemented
213#2329C2212yescomplemented
214#2325C2211yescharacteristic
215#2325C2212yes—
216#2325C2211yescharacteristic
217#2325C2212yes—
218#2322C2212yes—
219#2322C2212yes—
220#2321C2212yes—
221#2321C2212yes—
222#2319C2214yes—
223#2318C2214yes—
224#2318C2214yescomplemented
225#2318C2214yescomplemented
226#2315C2211yescharacteristic
227#2308C2212yes—
228C4×#123C2212yes—
229C4×#123C2212yes—
230C4×#123C2214yescomplemented
231C4×#123C2214yescomplemented
232C4×#123C2214yescomplemented
233C4×#121C2211yescharacteristic
234C4×#121C2212yes—
235C4×#121C2211yescharacteristic
236C4×#120C2212yes—
237C4×#120C2212yes—
238#2296C2212yescomplemented
239#2296C2212yescomplemented
240C2×#389C2211yescharacteristic, complemented
241C2×#389C2211yescharacteristic, complemented
242C2×#388C2212yes—
243C2×#388C2212yes—
244#2285C2212yescomplemented
245#2283C2212yescomplemented
246#2283C2212yescomplemented
247C2×#382C2212yescomplemented
248#2280C2212yes—
249#2280C2212yescomplemented
250#2280C2212yescomplemented
251#2280C2212yescomplemented
252C2×#380C2211yescharacteristic
253C2×#380C2212yescomplemented
254#2275C2214yescomplemented
255C2×C4×C4⋊C4C2211yescharacteristic, complemented
256C2×C4×C4⋊C4C2211yescharacteristic, complemented
257C2×C4×C22⋊C4C2211yescharacteristic
258C2×#376C2212yescomplemented
259C23×D4C2312yes—
260C24×C4C2312yes—
261C24×C4C2311yescharacteristic
262#534—28no—
263C2×C4⋊Q8C2311yescharacteristic
264C2×C4⋊Q8C2311yescharacteristic
265#529—216no—
266C2×#126C2314yes—
267C2×#126C2314yes—
268C2×#125C2312yes—
269C2×#125C2312yes—
270C2×#125C2314yes—
271C2×#124C2312yes—
272C2×#123C2312yes—
273C2×#123C2312yes—
274C2×#123C2314yes—
275C2×#123C2314yes—
276C2×#123C2314yes—
277C2×C22⋊Q8C2312yes—
278C2×C22⋊Q8C2312yes—
279C2×C22⋊Q8C2314yes—
280C2×#121C2311yescharacteristic
281C2×#121C2312yes—
282C2×#121C2311yescharacteristic
283C2×#120C2312yes—
284C2×#120C2312yes—
285C2×C4×Q8C2312yes—
286C2×C4×D4—216no—
287C2×C4×D4C2312yes—
288C2×C4×D4C2312yes—
289C2×C4×D4C2314yes—
290C2×C4×D4C2312yes—
291C2×C4×D4C2312yes—
292C2×C4×D4C2312yes—
293C2×C4×D4C2312yes—
294C2×C4×D4C2312yes—
295C2×C4×D4C2312yes—
296C2×C4×D4C2312yes—
297C2×C4×D4C2312yes—
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2314yes—
300C2×C4×D4C2311yescharacteristic
301C2×#117—28no—
302C2×#117C2314yes—
303C2×#117C2314yes—
304C2×#117C2312yes—
305C2×#117C2312yes—
306C2×#117C2312yes—
307C2×#117C2312yes—
308C2×#117C2312yes—
309C2×#117C2312yes—
310C2×#117C2314yes—
311C22×C4⋊C4C2312yes—
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2312yes—
315C22×C4⋊C4C2312yes—
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2312yes—
319C22×C4⋊C4C2312yes—
320C22×C22⋊C4C2312yes—
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2312yes—
323C22×C22⋊C4C2312yes—
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2314yes—
326C22×C22⋊C4C2312yes—
327C22×C42C2312yes—
328C22×C42C2312yes—
329C22×C42C2312yes—
330C22×C42C2311yescharacteristic
331C22×C42C2312yes—
332C22×C42C2311yescharacteristic
333#401C2314yes—
334#401C2314yes—
335#400C2314yes—
336#400C2314yes—
337#400C2314yes—
338#400C2314yes—
339#400C2314yes—
340#400C2314yes—
341#400C2314yes—
342#400C2314yes—
343#400C2314yes—
344#400C2314yes—
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#399C2314yes—
353#399C2314yes—
354#399C2314yes—
355#399C2314yes—
356#399C2314yes—
357#399C2314yes—
358#398C2314yes—
359#398C2314yes—
360#398C2314yes—
361#398C2314yes—
362#398C2314yes—
363#398C2314yes—
364#398C2314yes—
365#398C2314yes—
366#398C2314yes—
367#398C2314yes—
368#398C2314yes—
369#397C2314yes—
370#397C2314yes—
371#397C2314yes—
372#397C2314yes—
373#397C2314yes—
374#397C2314yes—
375#397C2314yes—
376#397C2314yes—
377#397C2314yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2314yes—
384#397C2314yes—
385#396C2314yes—
386#396C2314yes—
387#396C2314yes—
388#396C2314yes—
389#396C2314yes—
390#396C2314yes—
391#396C2314yes—
392#396C2314yes—
393#395C2314yes—
394#394C2314yes—
395#394C2314yes—
396#394C2314yes—
397#394C2314yes—
398#394C2314yes—
399#394C2314yes—
400#394C2314yes—
401#393C2314yes—
402#393C2314yes—
403#393C2314yes—
404#393C2314yes—
405#391C2314yes—
406#391C2314yes—
407#391C2314yes—
408#391C2312yes—
409#391C2312yes—
410#391C2312yes—
411#391C2312yes—
412#391C2314yes—
413#390C2312yes—
414#390C2314yes—
415#390C2314yes—
416#390C2312yes—
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#390C2312yes—
420#389C2312yes—
421#389C2312yes—
422#389C2312yes—
423#389C2312yes—
424#389C2314yes—
425#389C2314yes—
426#389C2314yes—
427#389C2314yes—
428#389C2312yes—
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#389C2314yes—
432#389C2314yes—
433#389C2314yes—
434#389C2314yes—
435#389C2312yes—
436#389C2312yes—
437#389C2312yes—
438#389C2312yes—
439#389C2312yes—
440#389C2312yes—
441#389C2312yes—
442#389C2312yes—
443#389C2312yes—
444#389C2312yes—
445#389C2314yes—
446#389C2312yes—
447#389C2312yes—
448#389C2312yes—
449#389C2312yes—
450#389C2312yes—
451#389C2312yes—
452#389C2312yes—
453#389C2312yes—
454#389C2312yes—
455#389C2312yes—
456#388C2314yes—
457#388C2314yes—
458#388C2314yes—
459#388C2314yes—
460#388C2314yes—
461#388C2314yes—
462#388C2314yes—
463#388C2314yes—
464#388C2314yes—
465#388C2314yes—
466#388C2314yes—
467#388C2314yes—
468#388C2314yes—
469#388C2314yes—
470#388C2314yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2312yes—
480#388C2312yes—
481#388C2312yes—
482#388C2312yes—
483#388C2312yes—
484#388C2312yes—
485#388C2312yes—
486#388C2312yes—
487#388C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#387C2314yes—
501#387C2314yes—
502#387C2314yes—
503#387C2314yes—
504#387C2314yes—
505#387C2314yes—
506#387C2314yes—
507#387C2314yes—
508#387C2314yes—
509#387C2314yes—
510#387C2314yes—
511#387C2314yes—
512#387C2314yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#387C2314yes—
520#387C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2312yes—
526#387C2312yes—
527#387C2312yes—
528#387C2312yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#386C2312yes—
543#386C2312yes—
544#386C2312yes—
545#386C2312yes—
546#386C2312yes—
547#386C2312yes—
548#386C2312yes—
549#386C2312yes—
550#386C2314yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2314yes—
555#386C2312yes—
556#386C2314yes—
557#386C2312yes—
558#386C2312yes—
559#386C2312yes—
560#386C2314yes—
561#386C2314yes—
562#385C2312yes—
563#385C2312yes—
564#385C2312yes—
565#385C2312yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2312yes—
574#385C2314yes—
575#385C2314yes—
576#385C2312yes—
577#385C2312yes—
578#385C2312yes—
579#385C2314yes—
580#385C2314yes—
581#385C2314yes—
582#385C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2314yes—
586#384C2312yes—
587#384C2311yescharacteristic
588#384C2311yescharacteristic
589#384C2312yes—
590#383C2314yes—
591#383C2314yes—
592#383C2314yes—
593#383C2314yes—
594#382C2312yes—
595#382C2312yes—
596#382C2312yes—
597#382C2312yes—
598#382C2312yes—
599#382C2314yes—
600#382C2314yes—
601#382C2314yes—
602#382C2314yes—
603#382C2314yes—
604#382C2314yes—
605#382C2314yes—
606#381C2314yes—
607#381C2314yes—
608#381C2312yes—
609#381C2312yes—
610#381C2314yes—
611#381C2314yes—
612#381C2314yes—
613#381C2314yes—
614#381C2314yes—
615#381C2314yes—
616#381C2314yes—
617#380C2312yes—
618#380C2312yes—
619#380C2312yes—
620#380C2312yes—
621#380C2312yes—
622#380C2312yes—
623#380C2311yescharacteristic
624#380C2311yescharacteristic
625#380C2312yes—
626#380C2314yes—
627#380C2314yes—
628#380C2314yes—
629#380C2314yes—
630#380C2312yes—
631#380C2312yes—
632#380C2314yes—
633#380C2312yes—
634#380C2312yes—
635#380C2314yes—
636#380C2312yes—
637#380C2312yes—
638#380C2312yes—
639#380C2312yes—
640#380C2312yes—
641#380C2312yes—
642#380C2312yes—
643#380C2312yes—
644#380C2312yes—
645#380C2312yes—
646#379C2312yes—
647#379C2314yes—
648#379C2312yes—
649#379C2314yes—
650#379C2314yes—
651#379C2314yes—
652C4×C4⋊C4C2312yes—
653C4×C4⋊C4C2311yescharacteristic
654C4×C4⋊C4C2312yes—
655C4×C4⋊C4C2311yescharacteristic
656C4×C4⋊C4C2312yes—
657C4×C4⋊C4C2314yes—
658C4×C4⋊C4C2314yes—
659C4×C4⋊C4C2314yes—
660C4×C4⋊C4C2314yes—
661C4×C4⋊C4C2314yes—
662C4×C4⋊C4C2314yes—
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2311yescharacteristic
666C4×C4⋊C4C2311yescharacteristic
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2311yescharacteristic
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2314yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2314yes—
675C4×C4⋊C4C2311yescharacteristic
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2314yes—
679C4×C22⋊C4C2314yes—
680C4×C22⋊C4C2314yes—
681C4×C22⋊C4C2314yes—
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702#376C2314yes—
703#376C2314yes—
704#376C2314yes—
705#376C2314yes—
706#376C2314yes—
707#376C2314yes—
708C2×#95C2314yes—
709C2×#95C2312yes—
710C2×#95C2312yes—
711C2×#95C2311yescharacteristic
712C2×#95C2311yescharacteristic
713C2×#95C2312yes—
714C2×#95C2312yes—
715C2×#95C2312yes—
716C25C2412yes—
717C25C2411yescharacteristic
718C22×Q8C2412yes—
719C22×Q8C2412yes—
720C22×D4—28no—
721C22×D4—28no—
722C22×D4—44no—
723C22×D4C2412yes—
724C22×D4C2412yes—
725C22×D4C2412yes—
726C22×D4C2412yes—
727C22×D4C2412yes—
728C22×D4C2411yescharacteristic
729C22×D4C2411yescharacteristic
730C23×C4—28no—
731C23×C4—42no—
732C23×C4—42no—
733C23×C4—44no—
734C23×C4—44no—
735C23×C4#4118yes—
736C23×C4C2412yes—
737C23×C4C2412yes—
738C23×C4C2412yes—
739C23×C4C2412yes—
740C23×C4C2411yescharacteristic
741C23×C4C2412yes—
742C23×C4C2412yes—
743C23×C4C2412yes—
744C23×C4C2412yes—
745C23×C4C2412yes—
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748C23×C4C2414yes—
749C23×C4C2412yes—
750C23×C4C2411yescharacteristic
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2414yes—
754C23×C4C2412yes—
755C23×C4C2411yescharacteristic
756C23×C4C2411yescharacteristic
757C4⋊Q8—42no—
758C4⋊Q8—42no—
759#126—216no—
760#126—84no—
761#125—28no—
762#125—44no—
763#125—84no—
764#124—28no—
765#123—216no—
766#123—28no—
767#123—28no—
768#123—48no—
769#123—84no—
770C22⋊Q8—28no—
771C22⋊Q8—44no—
772C22⋊Q8—84no—
773#121—28no—
774#121—24no—
775#121#4118yes—
776#120—28no—
777#120—28no—
778C4×Q8—28no—
779C4×D4—28no—
780C4×D4—216no—
781C4×D4—28no—
782C4×D4—28no—
783C4×D4—28no—
784C4×D4—28no—
785C4×D4—28no—
786C4×D4—28no—
787C4×D4—28no—
788C4×D4—28no—
789C4×D4—44no—
790C4×D4—42no—
791C4×D4—42no—
792C4×D4—48no—
793#117—28no—
794#117—28no—
795#117—216no—
796#117—216no—
797#117—44no—
798#117—44no—
799#117—44no—
800#117—44no—
801#117—84no—
802C2×C4⋊C4—24no—
803C2×C4⋊C4—24no—
804C2×C4⋊C4—28no—
805C2×C4⋊C4—42no—
806C2×C4⋊C4—44no—
807C2×C4⋊C4—42no—
808C2×C4⋊C4—44no—
809C2×C4⋊C4—82no—
810C2×C4⋊C4—82no—
811C2×C4⋊C4C2411yescharacteristic
812C2×C4⋊C4C2412yes—
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2411yescharacteristic
815C2×C4⋊C4C2411yescharacteristic
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2412yes—
818C2×C4⋊C4C2412yes—
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2412yes—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2411yescharacteristic
868C2×C22⋊C4—28no—
869C2×C22⋊C4—28no—
870C2×C22⋊C4—28no—
871C2×C22⋊C4—24no—
872C2×C22⋊C4—42no—
873C2×C22⋊C4—82no—
874C2×C22⋊C4—84no—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2412yes—
878C2×C22⋊C4C2412yes—
879C2×C22⋊C4C2412yes—
880C2×C22⋊C4C2412yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C42—28no—
924C2×C42—28no—
925C2×C42—28no—
926C2×C42—42no—
927C2×C42—42no—
928C2×C42—44no—
929C2×C42C2414yes—
930C2×C42C2414yes—
931C2×C42C2412yes—
932C2×C42C2414yes—
933C2×C42C2412yes—
934C2×C42C2412yes—
935C2×C42C2412yes—
936C2×C42C2412yes—
937C2×C42C2412yes—
938C2×C42C2412yes—
939C2×C42C2411yescharacteristic
940C2×C42C2411yescharacteristic
941C2×C42C2412yes—
942C2×C42C2412yes—
943C2×C42C2414yes—
944C2×C42C2414yes—
945C2×C42C2414yes—
946C2×C42C2414yes—
947C2×C42C2414yes—
948C2×C42C2414yes—
949C2×C42C2414yes—
950C2×C42C2414yes—
951C2×C42C2414yes—
952C2×C42C2412yes—
953C2×C42C2411yescharacteristic
954C2×C42C2411yescharacteristic
955#95C2414yes—
956#95C2412yes—
957#95C2412yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2412yes—
964#95C2412yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2412yes—
970#95C2412yes—
971#95C2412yes—
972#95C2414yes—
973#95C2412yes—
974#95C2412yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2412yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2412yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2412yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021C24—22no—
1022C24—22no—
1023C24—24no—
1024C24—24no—
1025C24—41no—
1026C24—42no—
1027C24—41no—
1028C24—41no—
1029C24—42no—
1030C24—41no—
1031C24—42no—
1032C24—42no—
1033C24—42no—
1034C24C2×#4114yes—
1035C24C2512yes—
1036C24C2512yes—
1037C24C2512yes—
1038C24C2511yescharacteristic
1039C2×Q8—24no—
1040C2×Q8—42no—
1041C2×Q8—42no—
1042C2×Q8—42no—
1043C2×Q8—42no—
1044C2×Q8—42no—
1045C2×D4—24no—
1046C2×D4—24no—
1047C2×D4—24no—
1048C2×D4—24no—
1049C2×D4—24no—
1050C2×D4—24no—
1051C2×D4—24no—
1052C2×D4—24no—
1053C2×D4—24no—
1054C2×D4—24no—
1055C2×D4—22no—
1056C2×D4—41no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—41no—
1060C2×D4—41no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—41no—
1064C2×D4—432no—
1065C2×D4C2×#4118yes—
1066C2×D4C2×#4114yes—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—24no—
1070C22×C4—24no—
1071C22×C4—24no—
1072C22×C4—24no—
1073C22×C4—24no—
1074C22×C4—24no—
1075C22×C4—24no—
1076C22×C4—22no—
1077C22×C4—24no—
1078C22×C4—24no—
1079C22×C4—24no—
1080C22×C4—22no—
1081C22×C4—28no—
1082C22×C4—24no—
1083C22×C4—22no—
1084C22×C4—24no—
1085C22×C4—24no—
1086C22×C4—24no—
1087C22×C4—24no—
1088C22×C4—24no—
1089C22×C4—24no—
1090C22×C4—24no—
1091C22×C4—24no—
1092C22×C4—24no—
1093C22×C4—416no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—42no—
1104C22×C4—41no—
1105C22×C4—42no—
1106C22×C4—42no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—44no—
1112C22×C4—42no—
1113C22×C4—44no—
1114C22×C4—42no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—44no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—816no—
1127C22×C4C2×#4118yes—
1128C22×C4C2×#4114yes—
1129C22×C4C2×#4114yes—
1130C22×C4C2×#4114yes—
1131C22×C4C2×#4118yes—
1132C22×C4C2512yes—
1133C22×C4C2512yes—
1134C22×C4C2512yes—
1135C22×C4C2512yes—
1136C22×C4C2512yes—
1137C22×C4C2514yes—
1138C22×C4C2511yescharacteristic
1139C22×C4C2512yes—
1140C22×C4C2512yes—
1141C22×C4C2512yes—
1142C22×C4C2514yes—
1143C22×C4C2514yes—
1144C22×C4C2512yes—
1145C22×C4C2514yes—
1146C22×C4C2514yes—
1147C22×C4C2512yes—
1148C22×C4C2512yes—
1149C22×C4C2514yes—
1150C22×C4C2511yescharacteristic
1151C22×C4C2512yes—
1152C22×C4C2511yescharacteristic
1153C22×C4C2511yescharacteristic
1154C22×C4C2512yes—
1155C22×C4C2511yescharacteristic
1156C22×C4C2511yescharacteristic
1157C4⋊C4—24no—
1158C4⋊C4—24no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—24no—
1162C4⋊C4—24no—
1163C4⋊C4—24no—
1164C4⋊C4—24no—
1165C4⋊C4—24no—
1166C4⋊C4—28no—
1167C4⋊C4—28no—
1168C4⋊C4—24no—
1169C4⋊C4—28no—
1170C4⋊C4—28no—
1171C4⋊C4—24no—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
1174C4⋊C4—24no—
1175C4⋊C4—22no—
1176C4⋊C4—24no—
1177C4⋊C4—24no—
1178C4⋊C4—24no—
1179C4⋊C4—24no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—42no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—44no—
1199C4⋊C4—42no—
1200C4⋊C4—42no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—42no—
1209C4⋊C4—44no—
1210C4⋊C4—42no—
1211C4⋊C4—42no—
1212C4⋊C4—42no—
1213C4⋊C4C2×#4114yes—
1214C22⋊C4—28no—
1215C22⋊C4—28no—
1216C22⋊C4—24no—
1217C22⋊C4—24no—
1218C22⋊C4—24no—
1219C22⋊C4—24no—
1220C22⋊C4—28no—
1221C22⋊C4—28no—
1222C22⋊C4—28no—
1223C22⋊C4—28no—
1224C22⋊C4—24no—
1225C22⋊C4—28no—
1226C22⋊C4—24no—
1227C22⋊C4—24no—
1228C22⋊C4—24no—
1229C22⋊C4—24no—
1230C22⋊C4—24no—
1231C22⋊C4—24no—
1232C22⋊C4—24no—
1233C22⋊C4—24no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
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—42no—
1245C22⋊C4—42no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—44no—
1255C22⋊C4—42no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—42no—
1261C22⋊C4C2×#4118yes—
1262C42—24no—
1263C42—28no—
1264C42—28no—
1265C42—24no—
1266C42—24no—
1267C42—24no—
1268C42—24no—
1269C42—24no—
1270C42—24no—
1271C42—24no—
1272C42—28no—
1273C42—24no—
1274C42—22no—
1275C42—22no—
1276C42—41no—
1277C42—41no—
1278C42—42no—
1279C42—44no—
1280C42—44no—
1281C42—44no—
1282C42—44no—
1283C42—44no—
1284C42—44no—
1285C42—44no—
1286C42—44no—
1287C42—44no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—22no—
1293C23—22no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—28no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—44no—
1313C23—44no—
1314C23—48no—
1315C23—48no—
1316C23—84no—
1317C23—82no—
1318C23—82no—
1319C23—82no—
1320C23—82no—
1321C23—84no—
1322C23—84no—
1323C23—84no—
1324C23—84no—
1325C23C22×#4114yes—
1326C23C22×#4114yes—
1327C23C22×#4112yes—
1328C23C22×#4112yes—
1329C23#58512yes—
1330C23C2611yescharacteristic
1331Q8—84no—
1332Q8—162no—
1333D4—216no—
1334D4—44no—
1335D4—48no—
1336D4—48no—
1337D4—48no—
1338D4—82no—
1339D4—84no—
1340C2×C4—22no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—216no—
1351C2×C4—28no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—24no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—24no—
1363C2×C4—22no—
1364C2×C4—24no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—24no—
1374C2×C4—24no—
1375C2×C4—22no—
1376C2×C4—24no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—24no—
1382C2×C4—24no—
1383C2×C4—24no—
1384C2×C4—24no—
1385C2×C4—24no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—24no—
1397C2×C4—22no—
1398C2×C4—24no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—24no—
1404C2×C4—24no—
1405C2×C4—22no—
1406C2×C4—24no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—44no—
1410C2×C4—48no—
1411C2×C4—44no—
1412C2×C4—48no—
1413C2×C4—48no—
1414C2×C4—48no—
1415C2×C4—44no—
1416C2×C4—48no—
1417C2×C4—48no—
1418C2×C4—48no—
1419C2×C4—84no—
1420C2×C4—84no—
1421C2×C4—84no—
1422C2×C4—88no—
1423C2×C4—82no—
1424C2×C4—82no—
1425C2×C4—84no—
1426C2×C4—84no—
1427C2×C4—164no—
1428C2×C4C22×#4114yes—
1429C2×C4C22×#4112yes—
1430C2×C4C22×#4112yes—
1431C2×C4C22×#4114yes—
1432C2×C4C22×#4112yes—
1433C2×C4C22×#4112yes—
1434C2×C4#58512yes—
1435C2×C4#58512yes—
1436C22—22no—
1437C22—22no—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—22no—
1442C22—24no—
1443C22—24no—
1444C22—24no—
1445C22—24no—
1446C22—24no—
1447C22—24no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—42no—
1463C22—88no—
1464C22—816no—
1465C22#347514yes—
1466C22C23×#4111yescharacteristic
1467C22C23×#4111yescharacteristic
1468C22C2×#58511yescharacteristic
1469C22C2×#58511yescharacteristic
1470C22C2×#58511yescharacteristic
1471C22H(7,𝔽2)11yescharacteristic
1472C222−1+611yescharacteristic
1473C4—22no—
1474C4—22no—
1475C4—24no—
1476C4—22no—
1477C4—24no—
1478C4—44no—
1479C4—42no—
1480C4—44no—
1481C4—42no—
1482C4—42no—
1483C4—42no—
1484C4—42no—
1485C4—42no—
1486C4—42no—
1487C4—44no—
1488C4—44no—
1489C4—42no—
1490C4—41no—
1491C4—44no—
1492C4—41no—
1493C4—44no—
1494C4—42no—
1495C4—42no—
1496C4—42no—
1497C4#349114yes—
1498C2—24no—
1499C2—44no—
1500C2—44no—
1501C2—82no—
1502C2C2×#347511yescharacteristic
1503C2C2×#349111yescharacteristic
1504C2#6284511yescharacteristic
1505C2#6290711yescharacteristic
1506C2#6291011yescharacteristic
1507C2#6299111yescharacteristic
1508C2#6299411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#534C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59298C2semidirect
2. #59297C2semidirect
3. #59295C2semidirect
4. #59292C2semidirect
5. #59205C2semidirect
6. #59203C2semidirect
7. #59202C2semidirect
8. #59200C2semidirect
9. #44472C2semidirect
10. #44471C2semidirect
11. #43523C2semidirect
12. #43522C2semidirect
13. #39759C2semidirect
14. #39631C2semidirect
15. #39038C2semidirect
16. #38973C2semidirect
17. #37934C2semidirect
19. #36486C2semidirect
20. #36176C2semidirect
21. #36116C2semidirect
22. #35459C2semidirect
23. #35099C2semidirect
24. #35033C2semidirect
25. #34809C2semidirect
26. #34219C2semidirect
27. #34194C2semidirect
28. C2×#2346C2semidirect
34. #2857C22semidirect
35. #2857C22semidirect
36. #2855C22semidirect
38. #2853C22semidirect
39. #2851C22semidirect
40. #2810C22semidirect
41. #2807C22semidirect
42. #2805C22semidirect
43. #2798C22semidirect
44. #2776C22semidirect
45. #2773C22semidirect
46. #2771C22semidirect
47. #2765C22semidirect
48. #2764C22semidirect
50. #2745C22semidirect
51. #2744C22semidirect
52. #2744C22semidirect
55. #2738C22semidirect
57. #2735C22semidirect
58. #2735C22semidirect
59. #2732C22semidirect
60. #2727C22semidirect
63. #2694C22semidirect
66. #2646C22semidirect
67. #2643C22semidirect
71. #2611C22semidirect
72. #2608C22semidirect
73. #2607C22semidirect
75. #2597C22semidirect
76. #2594C22semidirect
77. #2590C22semidirect
78. #2577C22semidirect
80. #2576C22semidirect
81. #2575C22semidirect
82. #2575C22semidirect
83. #2574C22semidirect
84. #2573C22semidirect
85. #2573C22semidirect
86. #2571C22semidirect
87. #2570C22semidirect
88. #2563C22semidirect
89. #2562C22semidirect
90. #2561C22semidirect
91. #2553C22semidirect
92. #2552C22semidirect
93. #2547C22semidirect
94. #2533C22semidirect
95. #2532C22semidirect
96. #2532C22semidirect
97. #2531C22semidirect
98. #2530C22semidirect
99. #2529C22semidirect
100. #2529C22semidirect
101. #2528C22semidirect
102. #2528C22semidirect
103. #2527C22semidirect
104. #2527C22semidirect
105. #2526C22semidirect
106. #2524C22semidirect
107. #2520C22semidirect
108. #2519C22semidirect
109. #2518C22semidirect
110. #2517C22semidirect
112. #2515C22semidirect
113. #2513C22semidirect
114. #2509C22semidirect
115. #2508C22semidirect
116. #2508C22semidirect
117. #2508C22semidirect
118. #2507C22semidirect
119. #2506C22semidirect
120. #2505C22semidirect
121. #2497C22semidirect
122. #2497C22semidirect
123. #2496C22semidirect
124. #2496C22semidirect
125. #2495C22semidirect
126. #2495C22semidirect
127. #2494C22semidirect
128. #2494C22semidirect
129. #2493C22semidirect
130. #2489C22semidirect
131. #2488C22semidirect
132. #2488C22semidirect
133. #2487C22semidirect
134. #2487C22semidirect
135. #2487C22semidirect
136. #2486C22semidirect
137. #2486C22semidirect
138. #2486C22semidirect
143. #2485C22semidirect
144. #2485C22semidirect
145. #2484C22semidirect
147. #2482C22semidirect
148. #2481C22semidirect
149. #2480C22semidirect
150. #2478C22semidirect
152. #2475C22semidirect
153. #2473C22semidirect
156. #2453C22semidirect
157. #2449C22semidirect
158. #2447C22semidirect
160. #2442C22semidirect
161. #2441C22semidirect
162. #2441C22semidirect
163. #2441C22semidirect
164. #2440C22semidirect
165. #2439C22semidirect
166. #2439C22semidirect
167. #2439C22semidirect
169. #2419C22semidirect
175. #2373C22semidirect
176. #2373C22semidirect
177. #2372C22semidirect
178. #2371C22semidirect
179. #2370C22semidirect
180. #2369C22semidirect
181. #2365C22semidirect
182. #2356C22semidirect
185. #2354C22semidirect
186. #2353C22semidirect
189. #2352C22semidirect
190. #2352C22semidirect
191. #2352C22semidirect
192. D4×C4⋊C4C22semidirect
193. D4×C4⋊C4C22semidirect
194. D4×C4⋊C4C22semidirect
195. #2347C22semidirect
196. #2346C22semidirect
197. #2346C22semidirect
198. #2346C22semidirect
199. #2346C22semidirect
200. #2346C22semidirect
201. #2346C22semidirect
202. #2346C22semidirect
203. #2346C22semidirect
204. #2345C22semidirect
205. #2345C22semidirect
206. #2344C22semidirect
207. #2343C22semidirect
209. #2342C22semidirect
211. #2329C22semidirect
212. #2329C22semidirect
213. #2329C22semidirect
224. #2318C22semidirect
225. #2318C22semidirect
230. C4×#123C22semidirect
231. C4×#123C22semidirect
232. C4×#123C22semidirect
238. #2296C22semidirect
239. #2296C22semidirect
240. C2×#389C22semidirect
241. C2×#389C22semidirect
244. #2285C22semidirect
245. #2283C22semidirect
246. #2283C22semidirect
247. C2×#382C22semidirect
249. #2280C22semidirect
250. #2280C22semidirect
251. #2280C22semidirect
253. C2×#380C22semidirect
254. #2275C22semidirect
255. C2×C4×C4⋊C4C22semidirect
256. C2×C4×C4⋊C4C22semidirect
258. C2×#376C22semidirect

Maximal subgroups

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

subgroupindex
#592982
#592972
#592952
#592922
#592052
#592032
#592022
#592002
#444722
#444712
#435232
#435222
#397592
#396312
#390382
#389732
#379342
#377462
#364862
#361762
#361162
#354592
#350992
#350332
#348092
#342192
#341942
C2×#23462
C4×#5342