Finite Group Databasebeta

← #7674969

Subgroups — #7674969

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#59299C212yesmaximal, complemented
2#59296C212yesmaximal, complemented
3#59294C212yesmaximal, complemented
4#59293C212yesmaximal, complemented
5#59206C212yesmaximal, complemented
6#59204C212yesmaximal, complemented
7#59201C212yesmaximal, complemented
8#59200C212yesmaximal, complemented
9#44473C214yesmaximal, complemented
10#44470C214yesmaximal, complemented
11#43524C214yesmaximal, complemented
12#43521C214yesmaximal, complemented
13#39542C212yesmaximal, complemented
14#39504C211yesmaximal, characteristic, complemented
15#39414C212yesmaximal
16#39376C211yesmaximal, characteristic, complemented
17#39190C212yesmaximal, complemented
18#38198C214yesmaximal, complemented
19#36586C211yesmaximal, characteristic, complemented
20#36551C211yesmaximal, characteristic, complemented
21#36254C212yesmaximal, complemented
22#35460C214yesmaximal, complemented
23#35098C212yesmaximal, complemented
24#35033C211yesmaximal, characteristic, complemented
25#34809C212yesmaximal, complemented
26#34278C212yesmaximal, complemented
27#34194C212yesmaximal, complemented
28C2×#2347C211yesmaximal, characteristic, complemented
29C4×#534C211yesmaximal, characteristic
30C2×#539C2212yes—
31C2×#534C2211yescharacteristic
32C22×C4×D4C2212yes—
33C22×#117C2211yescharacteristic
34#2857C2211yescharacteristic, complemented
35#2857C2211yescharacteristic, complemented
36#2852C2214yescomplemented
37#2851C2212yescomplemented
38#2851C2212yescomplemented
39#2850C2212yes—
40#2809C2212yescomplemented
41#2808C2212yescomplemented
42#2802C2214yescomplemented
43#2796C2214yescomplemented
44#2787C2214yescomplemented
45#2783C2214yescomplemented
46#2777C2214yescomplemented
47#2771C2214yescomplemented
48#2765C2214yescomplemented
49#2751C2214yes—
50#2750C2214yes—
51#2746C2214yes—
52#2745C2214yescomplemented
53#2740C2214yes—
54#2739C2214yescomplemented
55#2739C2214yescomplemented
56#2738C2214yescomplemented
57#2736C2214yescomplemented
58#2735C2214yescomplemented
59#2726C2212yescomplemented
60#2724C2212yescomplemented
61#2707C2214yes—
62#2697C2214yes—
63#2689C2214yescomplemented
64#2687C2214yes—
65#2685C2214yes—
66#2627C2212yescomplemented
67#2626C2212yes—
68#2626C2212yes—
69#2623C2214yescomplemented
70#2618C2212yes—
71#2609C2214yes—
72#2608C2214yescomplemented
73#2607C2214yescomplemented
74#2599C2214yescomplemented
75#2596C2214yescomplemented
76#2596C2214yescomplemented
77#2589C2214yescomplemented
78#2578C2214yescomplemented
79#2577C2214yescomplemented
80#2575C2214yescomplemented
81#2575C2214yescomplemented
82#2573C2214yescomplemented
83#2572C2214yes—
84#2572C2214yescomplemented
85#2571C2211yescharacteristic, complemented
86#2570C2212yescomplemented
87#2563C2211yescharacteristic, complemented
88#2562C2212yescomplemented
89#2558C2214yes—
90#2553C2214yes—
91#2552C2211yescharacteristic, complemented
92#2547C2211yescharacteristic, complemented
93#2534C2214yes—
94#2533C2214yescomplemented
95#2533C2214yescomplemented
96#2532C2214yescomplemented
97#2527C2214yescomplemented
98#2526C2214yes—
99#2525C2214yescomplemented
100#2525C2214yescomplemented
101#2524C2214yescomplemented
102#2524C2214yescomplemented
103#2524C2214yescomplemented
104#2523C2214yescomplemented
105#2522C2214yescomplemented
106#2521C2214yescomplemented
107#2520C2214yescomplemented
108#2519C2214yescomplemented
109#2518C2214yescomplemented
110#2516C2214yescomplemented
111#2515C2214yescomplemented
112#2515C2214yescomplemented
113#2515C2214yescomplemented
114#2515C2214yescomplemented
115#2514C2212yescomplemented
116#2514C2214yescomplemented
117#2510C2214yescomplemented
118#2510C2214yescomplemented
119#2509C2212yescomplemented
120#2509C2212yescomplemented
121#2508C2212yescomplemented
122#2507C2212yescomplemented
123#2506C2212yescomplemented
124#2505C2214yescomplemented
125#2497C2212yescomplemented
126#2497C2212yescomplemented
127#2496C2212yescomplemented
128#2496C2212yescomplemented
129#2495C2214yescomplemented
130#2495C2212yescomplemented
131#2495C2212yescomplemented
132#2494C2212yescomplemented
133#2494C2212yescomplemented
134#2493C2214yescomplemented
135#2493C2214yescomplemented
136#2488C2214yescomplemented
137#2487C2212yescomplemented
138#2487C2212yescomplemented
139#2487C2212yescomplemented
140#2486C2212yescomplemented
141#2486C2212yescomplemented
142#2486C2212yescomplemented
143#2485C2212yes—
144#2485C2212yes—
145#2485C2212yes—
146#2485C2212yes—
147#2485C2212yescomplemented
148#2485C2212yescomplemented
149#2484C2214yescomplemented
150#2483C2214yes—
151#2482C2214yescomplemented
152#2482C2214yescomplemented
153#2480C2214yescomplemented
154#2479C2214yes—
155#2479C2214yescomplemented
156#2475C2214yescomplemented
157#2472C2214yes—
158#2454C2212yescomplemented
159#2450C2214yescomplemented
160#2448C2212yescomplemented
161#2444C2214yes—
162#2442C2212yescomplemented
163#2441C2212yescomplemented
164#2441C2212yescomplemented
165#2441C2212yescomplemented
166#2440C2212yescomplemented
167#2439C2212yescomplemented
168#2439C2212yescomplemented
169#2439C2212yescomplemented
170#2425C2214yes—
171#2419C2214yescomplemented
172#2405C2214yes—
173#2395C2214yes—
174#2395C2214yes—
175#2374C2214yescomplemented
176#2373C2214yescomplemented
177#2373C2214yescomplemented
178#2371C2214yescomplemented
179#2370C2212yescomplemented
180#2370C2214yescomplemented
181#2369C2211yescharacteristic, complemented
182#2368C2214yescomplemented
183#2365C2211yescharacteristic, complemented
184#2362C2214yescomplemented
185#2359C2214yescomplemented
186#2354C2212yes—
187#2354C2212yes—
188#2354C2211yescharacteristic, complemented
189#2352C2212yes—
190#2352C2212yes—
191#2352C2212yescomplemented
192#2352C2212yescomplemented
193#2352C2212yescomplemented
194D4×C4⋊C4C2212yescomplemented
195D4×C4⋊C4C2211yescharacteristic, complemented
196D4×C4⋊C4C2212yescomplemented
197#2347C2214yescomplemented
198#2347C2214yescomplemented
199#2347C2212yescomplemented
200#2347C2212yescomplemented
201#2347C2212yescomplemented
202#2347C2212yescomplemented
203#2347C2212yescomplemented
204#2346C2212yescomplemented
205#2345C2214yescomplemented
206#2345C2212yescomplemented
207#2344C2212yescomplemented
208#2342C2214yes—
209#2342C2214yescomplemented
210D4×C22⋊C4C2214yes—
211#2329C2212yescomplemented
212#2329C2212yescomplemented
213#2325C2211yescharacteristic
214#2325C2212yes—
215#2325C2211yescharacteristic
216#2322C2212yes—
217#2322C2212yes—
218#2322C2214yescomplemented
219#2321C2212yes—
220#2321C2212yes—
221#2319C2214yes—
222#2318C2214yes—
223#2318C2214yescomplemented
224#2315C2211yescharacteristic
225#2313C2212yescomplemented
226#2308C2212yes—
227C4×C22⋊Q8C2212yescomplemented
228C4×#123C2212yes—
229C4×#123C2212yes—
230C4×#123C2214yescomplemented
231C4×#123C2214yescomplemented
232C4×#121C2212yes—
233C4×#121C2211yescharacteristic
234C4×#121C2211yescharacteristic
235C4×#121C2212yes—
236C4×#120C2212yes—
237C4×#120C2212yes—
238#2296C2212yescomplemented
239#2296C2212yescomplemented
240C2×#389C2211yescharacteristic, complemented
241C2×#389C2211yescharacteristic, complemented
242#2290C2214yescomplemented
243C2×#388C2212yes—
244C2×#388C2212yes—
245#2285C2212yescomplemented
246#2283C2212yescomplemented
247C2×#383C2212yescomplemented
248#2280C2212yes—
249#2280C2212yescomplemented
250#2280C2212yescomplemented
251#2280C2212yescomplemented
252C2×#380C2211yescharacteristic
253C2×#380C2212yescomplemented
254#2275C2214yescomplemented
255C2×C4×C4⋊C4C2212yescomplemented
256C2×C4×C4⋊C4C2211yescharacteristic, complemented
257C2×C4×C4⋊C4C2211yescharacteristic, complemented
258C2×C4×C22⋊C4C2211yescharacteristic
259C23×D4C2312yes—
260C24×C4C2312yes—
261C24×C4C2311yescharacteristic
262#539—216no—
263#534—28no—
264C2×C4⋊Q8C2311yescharacteristic
265C2×C4⋊Q8C2311yescharacteristic
266C2×#126C2314yes—
267C2×#126C2314yes—
268C2×#125C2314yes—
269C2×#125C2312yes—
270C2×#125C2312yes—
271C2×#124C2312yes—
272C2×#123C2312yes—
273C2×#123C2312yes—
274C2×#123C2314yes—
275C2×#123C2314yes—
276C2×#123C2314yes—
277C2×C22⋊Q8C2312yes—
278C2×C22⋊Q8C2314yes—
279C2×C22⋊Q8C2312yes—
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×D4C2312yes—
290C2×C4×D4C2312yes—
291C2×C4×D4C2314yes—
292C2×C4×D4C2312yes—
293C2×C4×D4C2312yes—
294C2×C4×D4C2312yes—
295C2×C4×D4C2312yes—
296C2×C4×D4C2312yes—
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2314yes—
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2312yes—
301C2×#117—28no—
302C2×#117C2314yes—
303C2×#117C2312yes—
304C2×#117C2312yes—
305C2×#117C2312yes—
306C2×#117C2312yes—
307C2×#117C2312yes—
308C2×#117C2312yes—
309C2×#117C2314yes—
310C2×#117C2314yes—
311C22×C4⋊C4C2312yes—
312C22×C4⋊C4C2312yes—
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2312yes—
316C22×C4⋊C4C2312yes—
317C22×C4⋊C4C2312yes—
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C22⋊C4C2312yes—
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2312yes—
323C22×C22⋊C4C2312yes—
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2312yes—
326C22×C22⋊C4C2314yes—
327C22×C42C2312yes—
328C22×C42C2312yes—
329C22×C42C2311yescharacteristic
330C22×C42C2311yescharacteristic
331C22×C42C2312yes—
332C22×C42C2312yes—
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#391C2314yes—
410#391C2312yes—
411#391C2312yes—
412#391C2312yes—
413#390C2312yes—
414#390C2314yes—
415#390C2314yes—
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2312yes—
419#390C2312yes—
420#389C2312yes—
421#389C2312yes—
422#389C2312yes—
423#389C2312yes—
424#389C2314yes—
425#389C2314yes—
426#389C2314yes—
427#389C2311yescharacteristic
428#389C2311yescharacteristic
429#389C2312yes—
430#389C2314yes—
431#389C2314yes—
432#389C2314yes—
433#389C2312yes—
434#389C2312yes—
435#389C2312yes—
436#389C2312yes—
437#389C2312yes—
438#389C2312yes—
439#389C2312yes—
440#389C2312yes—
441#389C2312yes—
442#389C2312yes—
443#389C2312yes—
444#389C2312yes—
445#389C2312yes—
446#389C2312yes—
447#389C2312yes—
448#389C2314yes—
449#389C2312yes—
450#389C2314yes—
451#389C2314yes—
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#388C2312yes—
473#388C2314yes—
474#388C2312yes—
475#388C2312yes—
476#388C2312yes—
477#388C2312yes—
478#388C2312yes—
479#388C2312yes—
480#388C2312yes—
481#388C2314yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#388C2314yes—
486#388C2314yes—
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#387C2312yes—
522#387C2312yes—
523#387C2312yes—
524#387C2312yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
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#386C2312yes—
552#386C2314yes—
553#386C2314yes—
554#386C2314yes—
555#386C2314yes—
556#386C2312yes—
557#386C2312yes—
558#386C2312yes—
559#386C2314yes—
560#386C2314yes—
561#386C2314yes—
562#385C2312yes—
563#385C2312yes—
564#385C2312yes—
565#385C2312yes—
566#385C2312yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2312yes—
572#385C2312yes—
573#385C2312yes—
574#385C2314yes—
575#385C2314yes—
576#385C2314yes—
577#385C2314yes—
578#385C2314yes—
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#383C2314yes—
595#383C2314yes—
596#383C2314yes—
597#383C2314yes—
598#382C2312yes—
599#382C2312yes—
600#382C2312yes—
601#382C2312yes—
602#382C2312yes—
603#382C2314yes—
604#382C2314yes—
605#382C2314yes—
606#381C2312yes—
607#381C2312yes—
608#381C2314yes—
609#381C2314yes—
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#380C2312yes—
625#380C2311yescharacteristic
626#380C2312yes—
627#380C2314yes—
628#380C2314yes—
629#380C2312yes—
630#380C2314yes—
631#380C2312yes—
632#380C2312yes—
633#380C2314yes—
634#380C2314yes—
635#380C2312yes—
636#380C2312yes—
637#380C2312yes—
638#380C2312yes—
639#380C2314yes—
640#380C2312yes—
641#380C2312yes—
642#380C2312yes—
643#380C2312yes—
644#380C2312yes—
645#380C2312yes—
646#379C2312yes—
647#379C2312yes—
648#379C2314yes—
649#379C2314yes—
650#379C2314yes—
651#379C2314yes—
652C4×C4⋊C4C2312yes—
653C4×C4⋊C4C2311yescharacteristic
654C4×C4⋊C4C2312yes—
655C4×C4⋊C4C2311yescharacteristic
656C4×C4⋊C4C2311yescharacteristic
657C4×C4⋊C4C2314yes—
658C4×C4⋊C4C2314yes—
659C4×C4⋊C4C2312yes—
660C4×C4⋊C4C2314yes—
661C4×C4⋊C4C2314yes—
662C4×C4⋊C4C2312yes—
663C4×C4⋊C4C2312yes—
664C4×C4⋊C4C2314yes—
665C4×C4⋊C4C2314yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2311yescharacteristic
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2311yescharacteristic
672C4×C4⋊C4C2314yes—
673C4×C4⋊C4C2314yes—
674C4×C4⋊C4C2314yes—
675C4×C4⋊C4C2314yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2311yescharacteristic
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2314yes—
682C4×C4⋊C4C2314yes—
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2312yes—
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⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706#376C2314yes—
707#376C2314yes—
708C2×#95C2314yes—
709C2×#95C2312yes—
710C2×#95C2311yescharacteristic
711C2×#95C2311yescharacteristic
712C2×#95C2312yes—
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×D4C2411yescharacteristic
728C22×D4C2412yes—
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×C4C2411yescharacteristic
746C23×C4C2414yes—
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2411yescharacteristic
750C23×C4C2411yescharacteristic
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2414yes—
754C23×C4C2411yescharacteristic
755C23×C4C2412yes—
756C23×C4C2411yescharacteristic
757C4⋊Q8—42no—
758C4⋊Q8—42no—
759#126—216no—
760#126—84no—
761#125—216no—
762#125—44no—
763#125—82no—
764#124—82no—
765#123—216no—
766#123—216no—
767#123—28no—
768#123—28no—
769#123—48no—
770C22⋊Q8—28no—
771C22⋊Q8—216no—
772C22⋊Q8—44no—
773#121—28no—
774#121—24no—
775#121#4118yes—
776#120—28no—
777#120—28no—
778C4×Q8—82no—
779C4×D4—216no—
780C4×D4—28no—
781C4×D4—28no—
782C4×D4—28no—
783C4×D4—28no—
784C4×D4—28no—
785C4×D4—28no—
786C4×D4—28no—
787C4×D4—28no—
788C4×D4—44no—
789C4×D4—42no—
790C4×D4—42no—
791C4×D4—48no—
792C4×D4—82no—
793#117—28no—
794#117—28no—
795#117—216no—
796#117—44no—
797#117—44no—
798#117—44no—
799#117—44no—
800#117—84no—
801#117—84no—
802C2×C4⋊C4—24no—
803C2×C4⋊C4—24no—
804C2×C4⋊C4—28no—
805C2×C4⋊C4—28no—
806C2×C4⋊C4—42no—
807C2×C4⋊C4—44no—
808C2×C4⋊C4—42no—
809C2×C4⋊C4—44no—
810C2×C4⋊C4—44no—
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⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2412yes—
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2411yescharacteristic
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2411yescharacteristic
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
891C2×C22⋊C4C2412yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C42—28no—
924C2×C42—28no—
925C2×C42—42no—
926C2×C42—42no—
927C2×C42—82no—
928C2×C42—82no—
929C2×C42C2414yes—
930C2×C42C2414yes—
931C2×C42C2412yes—
932C2×C42C2412yes—
933C2×C42C2412yes—
934C2×C42C2412yes—
935C2×C42C2414yes—
936C2×C42C2412yes—
937C2×C42C2411yescharacteristic
938C2×C42C2411yescharacteristic
939C2×C42C2414yes—
940C2×C42C2414yes—
941C2×C42C2414yes—
942C2×C42C2414yes—
943C2×C42C2414yes—
944C2×C42C2414yes—
945C2×C42C2414yes—
946C2×C42C2414yes—
947C2×C42C2412yes—
948C2×C42C2412yes—
949C2×C42C2412yes—
950C2×C42C2412yes—
951C2×C42C2414yes—
952C2×C42C2412yes—
953C2×C42C2411yescharacteristic
954C2×C42C2411yescharacteristic
955#95C2414yes—
956#95C2414yes—
957#95C2412yes—
958#95C2412yes—
959#95C2412yes—
960#95C2412yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2412yes—
965#95C2414yes—
966#95C2412yes—
967#95C2412yes—
968#95C2414yes—
969#95C2412yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
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#95C2414yes—
995#95C2412yes—
996#95C2412yes—
997#95C2412yes—
998#95C2414yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2412yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2412yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2412yes—
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—41no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—41no—
1061C2×D4—42no—
1062C2×D4—41no—
1063C2×D4—42no—
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—22no—
1080C22×C4—24no—
1081C22×C4—28no—
1082C22×C4—22no—
1083C22×C4—24no—
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—41no—
1097C22×C4—41no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—42no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—42no—
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—42no—
1114C22×C4—44no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—41no—
1122C22×C4—41no—
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×C4C2511yescharacteristic
1133C22×C4C2512yes—
1134C22×C4C2512yes—
1135C22×C4C2512yes—
1136C22×C4C2512yes—
1137C22×C4C2512yes—
1138C22×C4C2514yes—
1139C22×C4C2511yescharacteristic
1140C22×C4C2512yes—
1141C22×C4C2512yes—
1142C22×C4C2512yes—
1143C22×C4C2514yes—
1144C22×C4C2514yes—
1145C22×C4C2512yes—
1146C22×C4C2514yes—
1147C22×C4C2514yes—
1148C22×C4C2512yes—
1149C22×C4C2512yes—
1150C22×C4C2514yes—
1151C22×C4C2512yes—
1152C22×C4C2511yescharacteristic
1153C22×C4C2512yes—
1154C22×C4C2511yescharacteristic
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—28no—
1169C4⋊C4—24no—
1170C4⋊C4—22no—
1171C4⋊C4—28no—
1172C4⋊C4—28no—
1173C4⋊C4—24no—
1174C4⋊C4—28no—
1175C4⋊C4—22no—
1176C4⋊C4—24no—
1177C4⋊C4—22no—
1178C4⋊C4—24no—
1179C4⋊C4—24no—
1180C4⋊C4—24no—
1181C4⋊C4—24no—
1182C4⋊C4—42no—
1183C4⋊C4—42no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—42no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—42no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—44no—
1200C4⋊C4—42no—
1201C4⋊C4—42no—
1202C4⋊C4—41no—
1203C4⋊C4—44no—
1204C4⋊C4—42no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—41no—
1210C4⋊C4—44no—
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—24no—
1223C22⋊C4—28no—
1224C22⋊C4—28no—
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—44no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—42no—
1261C22⋊C4C2×#4118yes—
1262C42—28no—
1263C42—28no—
1264C42—24no—
1265C42—24no—
1266C42—24no—
1267C42—24no—
1268C42—28no—
1269C42—24no—
1270C42—22no—
1271C42—22no—
1272C42—41no—
1273C42—41no—
1274C42—42no—
1275C42—44no—
1276C42—42no—
1277C42—42no—
1278C42—42no—
1279C42—42no—
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—24no—
1359C2×C4—24no—
1360C2×C4—22no—
1361C2×C4—24no—
1362C2×C4—24no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—22no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—24no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—24no—
1377C2×C4—24no—
1378C2×C4—24no—
1379C2×C4—24no—
1380C2×C4—24no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—21no—
1384C2×C4—24no—
1385C2×C4—21no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—24no—
1396C2×C4—22no—
1397C2×C4—24no—
1398C2×C4—24no—
1399C2×C4—22no—
1400C2×C4—24no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—21no—
1404C2×C4—24no—
1405C2×C4—21no—
1406C2×C4—22no—
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—84no—
1425C2×C4—82no—
1426C2×C4—84no—
1427C2×C4—164no—
1428C2×C4C22×#4114yes—
1429C2×C4C22×#4114yes—
1430C2×C4C22×#4112yes—
1431C2×C4C22×#4112yes—
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—44no—
1480C4—44no—
1481C4—42no—
1482C4—42no—
1483C4—42no—
1484C4—42no—
1485C4—42no—
1486C4—42no—
1487C4—42no—
1488C4—42no—
1489C4—42no—
1490C4—42no—
1491C4—44no—
1492C4—41no—
1493C4—41no—
1494C4—44no—
1495C4—44no—
1496C4—42no—
1497C4#349114yes—
1498C2—24no—
1499C2—44no—
1500C2—44no—
1501C2—82no—
1502C2C2×#347511yescharacteristic
1503C2C2×#349111yescharacteristic
1504C2#6284511yescharacteristic
1505C2#6290811yescharacteristic
1506C2#6291111yescharacteristic
1507C2#6299211yescharacteristic
1508C2#6299511yescharacteristic
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. #59299C2semidirect
2. #59296C2semidirect
3. #59294C2semidirect
4. #59293C2semidirect
5. #59206C2semidirect
6. #59204C2semidirect
7. #59201C2semidirect
8. #59200C2semidirect
9. #44473C2semidirect
10. #44470C2semidirect
11. #43524C2semidirect
12. #43521C2semidirect
13. #39542C2semidirect
14. #39504C2semidirect
16. #39376C2semidirect
17. #39190C2semidirect
18. #38198C2semidirect
19. #36586C2semidirect
20. #36551C2semidirect
21. #36254C2semidirect
22. #35460C2semidirect
23. #35098C2semidirect
24. #35033C2semidirect
25. #34809C2semidirect
26. #34278C2semidirect
27. #34194C2semidirect
28. C2×#2347C2semidirect
34. #2857C22semidirect
35. #2857C22semidirect
36. #2852C22semidirect
37. #2851C22semidirect
38. #2851C22semidirect
40. #2809C22semidirect
41. #2808C22semidirect
42. #2802C22semidirect
43. #2796C22semidirect
44. #2787C22semidirect
45. #2783C22semidirect
46. #2777C22semidirect
47. #2771C22semidirect
48. #2765C22semidirect
52. #2745C22semidirect
54. #2739C22semidirect
55. #2739C22semidirect
56. #2738C22semidirect
57. #2736C22semidirect
58. #2735C22semidirect
59. #2726C22semidirect
60. #2724C22semidirect
63. #2689C22semidirect
66. #2627C22semidirect
69. #2623C22semidirect
72. #2608C22semidirect
73. #2607C22semidirect
74. #2599C22semidirect
75. #2596C22semidirect
76. #2596C22semidirect
77. #2589C22semidirect
78. #2578C22semidirect
79. #2577C22semidirect
80. #2575C22semidirect
81. #2575C22semidirect
82. #2573C22semidirect
84. #2572C22semidirect
85. #2571C22semidirect
86. #2570C22semidirect
87. #2563C22semidirect
88. #2562C22semidirect
91. #2552C22semidirect
92. #2547C22semidirect
94. #2533C22semidirect
95. #2533C22semidirect
96. #2532C22semidirect
97. #2527C22semidirect
99. #2525C22semidirect
100. #2525C22semidirect
101. #2524C22semidirect
102. #2524C22semidirect
103. #2524C22semidirect
104. #2523C22semidirect
105. #2522C22semidirect
106. #2521C22semidirect
107. #2520C22semidirect
108. #2519C22semidirect
109. #2518C22semidirect
110. #2516C22semidirect
111. #2515C22semidirect
112. #2515C22semidirect
113. #2515C22semidirect
114. #2515C22semidirect
115. #2514C22semidirect
116. #2514C22semidirect
117. #2510C22semidirect
118. #2510C22semidirect
119. #2509C22semidirect
120. #2509C22semidirect
121. #2508C22semidirect
122. #2507C22semidirect
123. #2506C22semidirect
124. #2505C22semidirect
125. #2497C22semidirect
126. #2497C22semidirect
127. #2496C22semidirect
128. #2496C22semidirect
129. #2495C22semidirect
130. #2495C22semidirect
131. #2495C22semidirect
132. #2494C22semidirect
133. #2494C22semidirect
134. #2493C22semidirect
135. #2493C22semidirect
136. #2488C22semidirect
137. #2487C22semidirect
138. #2487C22semidirect
139. #2487C22semidirect
140. #2486C22semidirect
141. #2486C22semidirect
142. #2486C22semidirect
147. #2485C22semidirect
148. #2485C22semidirect
149. #2484C22semidirect
151. #2482C22semidirect
152. #2482C22semidirect
153. #2480C22semidirect
155. #2479C22semidirect
156. #2475C22semidirect
158. #2454C22semidirect
159. #2450C22semidirect
160. #2448C22semidirect
162. #2442C22semidirect
163. #2441C22semidirect
164. #2441C22semidirect
165. #2441C22semidirect
166. #2440C22semidirect
167. #2439C22semidirect
168. #2439C22semidirect
169. #2439C22semidirect
171. #2419C22semidirect
175. #2374C22semidirect
176. #2373C22semidirect
177. #2373C22semidirect
178. #2371C22semidirect
179. #2370C22semidirect
180. #2370C22semidirect
181. #2369C22semidirect
182. #2368C22semidirect
183. #2365C22semidirect
184. #2362C22semidirect
185. #2359C22semidirect
188. #2354C22semidirect
191. #2352C22semidirect
192. #2352C22semidirect
193. #2352C22semidirect
194. D4×C4⋊C4C22semidirect
195. D4×C4⋊C4C22semidirect
196. D4×C4⋊C4C22semidirect
197. #2347C22semidirect
198. #2347C22semidirect
199. #2347C22semidirect
200. #2347C22semidirect
201. #2347C22semidirect
202. #2347C22semidirect
203. #2347C22semidirect
204. #2346C22semidirect
205. #2345C22semidirect
206. #2345C22semidirect
207. #2344C22semidirect
209. #2342C22semidirect
211. #2329C22semidirect
212. #2329C22semidirect
218. #2322C22semidirect
223. #2318C22semidirect
225. #2313C22semidirect
227. C4×C22⋊Q8C22semidirect
230. C4×#123C22semidirect
231. C4×#123C22semidirect
238. #2296C22semidirect
239. #2296C22semidirect
240. C2×#389C22semidirect
241. C2×#389C22semidirect
242. #2290C22semidirect
245. #2285C22semidirect
246. #2283C22semidirect
247. C2×#383C22semidirect
249. #2280C22semidirect
250. #2280C22semidirect
251. #2280C22semidirect
253. C2×#380C22semidirect
254. #2275C22semidirect
255. C2×C4×C4⋊C4C22semidirect
256. C2×C4×C4⋊C4C22semidirect
257. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#592992
#592962
#592942
#592932
#592062
#592042
#592012
#592002
#444732
#444702
#435242
#435212
#395422
#395042
#394142
#393762
#391902
#381982
#365862
#365512
#362542
#354602
#350982
#350332
#348092
#342782
#341942
C2×#23472
C4×#5342