Finite Group Databasebeta

← #7656382

Subgroups — #7656382

Order 512.

4790 conjugacy classes of subgroups.

The subgroup lattice has 1418 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42499C212yesmaximal, complemented
2#42495C212yesmaximal, complemented
3#42489C212yesmaximal, complemented
4#42488C212yesmaximal, complemented
5#40621C214yesmaximal, complemented
6#40617C214yesmaximal, complemented
7#40613C214yesmaximal, complemented
8#40611C214yesmaximal, complemented
9#39976C212yesmaximal, complemented
10#39972C212yesmaximal, complemented
11#38443C214yesmaximal, complemented
12#38441C214yesmaximal, complemented
13#37567C211yesmaximal, characteristic, complemented
14#37565C211yesmaximal, characteristic, complemented
15#37478C212yesmaximal, complemented
16#37476C212yesmaximal, complemented
17#36261C212yesmaximal, complemented
18#36239C212yesmaximal, complemented
19#35950C212yesmaximal, complemented
20#35858C212yesmaximal, complemented
21#35836C212yesmaximal
22#35776C212yesmaximal
23#35202C211yesmaximal, characteristic, complemented
24#35079C212yesmaximal, complemented
25#34625C211yesmaximal, characteristic, complemented
26C2×#2667C212yesmaximal, complemented
27#34190C211yesmaximal, characteristic
28#34181C211yesmaximal, characteristic
29#34126C211yesmaximal, characteristic
30C2×#554C2212yes—
31C2×#554C2212yes—
32C2×#518C2211yescharacteristic
33C2×#518C2211yescharacteristic
34C22×C4×D4C2211yescharacteristic
35#2864C2212yescomplemented
36#2859C2212yescomplemented
37#2857C2214yescomplemented
38#2851C2214yescomplemented
39#2843C2214yescomplemented
40#2841C2214yes—
41#2841C2214yes—
42#2841C2214yes—
43#2841C2214yescomplemented
44#2841C2214yescomplemented
45#2807C2214yescomplemented
46#2807C2214yescomplemented
47#2802C2214yescomplemented
48#2802C2214yescomplemented
49#2792C2214yescomplemented
50#2791C2214yescomplemented
51#2790C2214yescomplemented
52#2790C2214yescomplemented
53#2788C2214yescomplemented
54#2774C2214yescomplemented
55#2768C2214yescomplemented
56#2768C2214yescomplemented
57#2768C2214yescomplemented
58#2755C2214yescomplemented
59#2742C2214yescomplemented
60#2734C2214yescomplemented
61#2729C2214yescomplemented
62#2726C2214yescomplemented
63#2720C2214yescomplemented
64#2720C2214yescomplemented
65#2720C2214yescomplemented
66#2704C2214yescomplemented
67#2704C2214yescomplemented
68#2677C2214yescomplemented
69#2667C2211yescharacteristic
70#2667C2212yes—
71#2667C2211yescharacteristic
72#2667C2212yes—
73#2667C2212yes—
74#2667C2214yes—
75#2667C2214yes—
76#2667C2212yes—
77#2667C2212yes—
78#2667C2214yescomplemented
79#2667C2214yescomplemented
80#2667C2214yescomplemented
81#2667C2214yescomplemented
82#2666C2212yescomplemented
83#2666C2212yescomplemented
84#2666C2214yescomplemented
85#2665C2212yes—
86#2665C2212yes—
87#2665C2211yescharacteristic
88#2665C2211yescharacteristic
89#2665C2212yes—
90#2660C2212yescomplemented
91#2660C2212yescomplemented
92#2659C2214yescomplemented
93#2647C2212yescomplemented
94#2647C2212yescomplemented
95#2646C2214yescomplemented
96#2629C2212yes—
97#2629C2214yes—
98#2629C2212yes—
99#2628C2212yes—
100#2628C2214yes—
101#2628C2212yes—
102#2627C2214yescomplemented
103#2627C2214yescomplemented
104#2626C2214yes—
105#2626C2214yes—
106#2612C2214yescomplemented
107#2606C2212yescomplemented
108#2606C2212yescomplemented
109#2606C2212yescomplemented
110#2605C2212yescomplemented
111#2584C2212yescomplemented
112#2584C2212yescomplemented
113#2584C2212yescomplemented
114#2583C2214yescomplemented
115#2583C2214yescomplemented
116#2583C2214yescomplemented
117#2580C2212yes—
118#2579C2214yes—
119#2570C2212yescomplemented
120#2570C2212yescomplemented
121#2570C2212yescomplemented
122#2569C2214yescomplemented
123#2569C2214yescomplemented
124#2569C2214yescomplemented
125#2566C2212yes—
126#2564C2214yes—
127#2552C2212yescomplemented
128#2552C2212yescomplemented
129#2552C2212yescomplemented
130#2552C2212yescomplemented
131#2551C2212yescomplemented
132#2550C2212yescomplemented
133#2550C2212yescomplemented
134#2550C2212yescomplemented
135#2550C2212yescomplemented
136#2549C2214yescomplemented
137#2549C2214yescomplemented
138#2549C2214yescomplemented
139#2549C2214yescomplemented
140#2546C2212yescomplemented
141#2542C2212yes—
142#2538C2212yes—
143#2509C2212yescomplemented
144#2508C2212yescomplemented
145#2508C2212yescomplemented
146#2507C2212yescomplemented
147#2507C2212yescomplemented
148#2507C2212yescomplemented
149#2506C2212yescomplemented
150#2506C2212yescomplemented
151#2505C2214yescomplemented
152#2505C2214yescomplemented
153#2505C2214yescomplemented
154#2502C2214yescomplemented
155#2487C2214yes—
156#2473C2214yescomplemented
157#2473C2214yescomplemented
158#2473C2214yescomplemented
159#2473C2214yescomplemented
160#2473C2214yescomplemented
161#2454C2212yes—
162#2454C2212yes—
163#2454C2212yes—
164#2452C2212yes—
165#2450C2214yes—
166#2449C2214yes—
167#2449C2214yes—
168#2449C2214yes—
169#2442C2214yescomplemented
170#2442C2214yescomplemented
171#2441C2214yes—
172#2441C2214yes—
173#2441C2212yes—
174#2441C2212yes—
175#2441C2212yes—
176#2441C2214yescomplemented
177#2440C2214yescomplemented
178#2440C2214yescomplemented
179#2440C2214yescomplemented
180#2440C2214yescomplemented
181#2440C2214yescomplemented
182#2439C2214yes—
183#2439C2212yes—
184#2439C2214yescomplemented
185#2438C2214yescomplemented
186#2438C2214yescomplemented
187#2437C2214yes—
188#2437C2214yes—
189#2437C2214yes—
190#2437C2214yes—
191#2417C2214yes—
192#2402C2212yescomplemented
193#2399C2212yescomplemented
194#2396C2212yes—
195#2396C2212yes—
196C2×#399C2214yes—
197C2×#398C2214yescomplemented
198C2×#398C2214yescomplemented
199C2×#396C2214yes—
200#2357C2211yescharacteristic
201#2357C2211yescharacteristic
202#2357C2211yescharacteristic
203#2357C2211yescharacteristic
204#2353C2212yes—
205#2353C2212yes—
206#2353C2212yes—
207#2353C2212yes—
208#2349C2211yescharacteristic
209#2349C2212yes—
210#2349C2212yes—
211#2349C2214yes—
212#2349C2211yescharacteristic
213#2349C2212yes—
214#2349C2212yes—
215#2349C2211yescharacteristic
216#2349C2211yescharacteristic
217D4×C4⋊C4C2212yes—
218D4×C4⋊C4C2212yes—
219D4×C4⋊C4C2212yes—
220D4×C4⋊C4C2212yes—
221D4×C4⋊C4C2212yes—
222D4×C4⋊C4C2212yes—
223D4×C4⋊C4C2214yes—
224#2345C2212yes—
225#2344C2212yes—
226#2342C2214yes—
227#2342C2214yes—
228D4×C22⋊C4C2212yes—
229D4×C22⋊C4C2212yes—
230#2330C2214yescomplemented
231#2329C2214yescomplemented
232#2329C2214yescomplemented
233#2319C2212yes—
234#2318C2214yes—
235#2316C2211yescharacteristic
236#2316C2211yescharacteristic
237#2315C2212yes—
238#2315C2212yes—
239C4×C4⋊Q8C2212yescomplemented
240C4×#125C2212yescomplemented
241#2293C2212yes—
242C2×#389C2214yescomplemented
243#2290C2214yes—
244C2×#387C2214yescomplemented
245#2285C2211yescharacteristic
246#2285C2211yescharacteristic
247#2283C2211yescharacteristic
248#2283C2211yescharacteristic
249#2283C2211yescharacteristic
250#2280C2212yes—
251#2280C2212yes—
252C2×#381C2212yes—
253C2×#380C2212yes—
254C2×#380C2212yes—
255#2275C2212yes—
256C42×D4C2212yes—
257C4×#117C2211yescharacteristic
258C2×C4×C22⋊C4C2212yes—
259C23×D4C2311yescharacteristic
260C24×C4C2312yes—
261#554—48no—
262#554—48no—
263C2×C4⋊Q8C2312yes—
264C2×C4⋊Q8C2312yes—
265C2×C4⋊Q8C2312yes—
266C2×C4⋊Q8C2314yes—
267C2×C4⋊Q8C2314yes—
268C2×#125C2312yes—
269C2×#125C2312yes—
270C2×#125C2312yes—
271C2×#125C2312yes—
272C2×#125C2312yes—
273C2×#125C2314yes—
274C2×#125C2314yes—
275C2×#125C2314yes—
276C2×C22⋊Q8C2314yes—
277C2×C22⋊Q8C2314yes—
278C2×C22⋊Q8C2314yes—
279C2×C22⋊Q8C2314yes—
280C2×C22⋊Q8C2314yes—
281C2×C22⋊Q8C2314yes—
282C2×C22⋊Q8C2314yes—
283C2×C22⋊Q8C2314yes—
284C2×C22⋊Q8C2314yes—
285C2×C22⋊Q8C2314yes—
286#518—44no—
287#518—44no—
288C2×C4×Q8C2312yes—
289C2×C4×Q8C2312yes—
290C2×C4×D4Q8116yescomplemented
291C2×C4×D4C2312yes—
292C2×C4×D4C2312yes—
293C2×C4×D4C2312yes—
294C2×C4×D4C2312yes—
295C2×C4×D4C2312yes—
296C2×C4×D4C2312yes—
297C2×C4×D4C2314yes—
298C2×C4×D4C2312yes—
299C2×C4×D4C2314yes—
300C2×C4×D4C2312yes—
301C2×C4×D4C2312yes—
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2312yes—
306C2×C4×D4C2311yescharacteristic
307C2×#117C2311yescharacteristic
308C2×#117C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C2×#117C2311yescharacteristic
311C2×#117C2312yes—
312C2×#117C2314yes—
313C2×#117C2314yes—
314C22×C4⋊C4C2314yes—
315C22×C4⋊C4C2314yes—
316C22×C4⋊C4C2314yes—
317C22×C4⋊C4C2314yes—
318C22×C4⋊C4C2314yes—
319C22×C4⋊C4C2314yes—
320C22×C4⋊C4C2314yes—
321C22×C4⋊C4C2314yes—
322C22×C4⋊C4C2311yescharacteristic
323C22×C22⋊C4C2312yes—
324C22×C22⋊C4C2312yes—
325C22×C22⋊C4C2312yes—
326C22×C22⋊C4C2312yes—
327C22×C22⋊C4C2314yes—
328C22×C22⋊C4C2314yes—
329C22×C22⋊C4C2312yes—
330C22×C42C2314yes—
331C22×C42C2311yescharacteristic
332#400C2314yes—
333#400C2314yes—
334#400C2314yes—
335#400C2314yes—
336#400C2314yes—
337#400C2314yes—
338#400C2314yes—
339#400C2314yes—
340#400C2314yes—
341#400C2314yes—
342#400C2314yes—
343#400C2314yes—
344#400C2312yes—
345#400C2312yes—
346#400C2312yes—
347#400C2312yes—
348#400C2312yes—
349#400C2312yes—
350#399C2314yes—
351#399C2314yes—
352#399C2314yes—
353#399C2314yes—
354#399C2314yes—
355#399C2314yes—
356#399C2314yes—
357#399C2312yes—
358#399C2312yes—
359#399C2314yes—
360#399C2314yes—
361#399C2314yes—
362#398C2312yes—
363#398C2314yes—
364#398C2314yes—
365#398C2314yes—
366#398C2314yes—
367#398C2314yes—
368#398C2314yes—
369#398C2314yes—
370#398C2314yes—
371#398C2312yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2312yes—
395#398C2312yes—
396#398C2312yes—
397#398C2312yes—
398#398C2312yes—
399#398C2312yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2312yes—
408#398C2312yes—
409#398C2312yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2312yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2312yes—
422#396C2314yes—
423#396C2312yes—
424#396C2312yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#395C2312yes—
429#395C2312yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2312yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2312yes—
444#395C2312yes—
445#395C2312yes—
446#393C2314yes—
447#393C2312yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2314yes—
455#391C2314yes—
456#391C2314yes—
457#391C2314yes—
458#391C2314yes—
459#391C2314yes—
460#390C2312yes—
461#390C2312yes—
462#390C2312yes—
463#390C2312yes—
464#389C2312yes—
465#389C2312yes—
466#389C2312yes—
467#389C2312yes—
468#389C2312yes—
469#389C2312yes—
470#389C2312yes—
471#389C2312yes—
472#389C2312yes—
473#389C2312yes—
474#389C2312yes—
475#389C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#389C2314yes—
480#389C2314yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2314yes—
487#389C2314yes—
488#389C2314yes—
489#389C2314yes—
490#389C2314yes—
491#389C2314yes—
492#389C2314yes—
493#389C2314yes—
494#389C2314yes—
495#389C2314yes—
496#389C2312yes—
497#389C2312yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2312yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#387C2312yes—
527#387C2312yes—
528#387C2312yes—
529#387C2312yes—
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#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#386C2314yes—
557#386C2314yes—
558#386C2314yes—
559#386C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2314yes—
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#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#384C2312yes—
593#384C2312yes—
594#384C2312yes—
595#384C2312yes—
596#384C2314yes—
597#384C2312yes—
598#384C2314yes—
599#384C2312yes—
600#384C2312yes—
601#384C2314yes—
602#383C2312yes—
603#383C2312yes—
604#383C2311yescharacteristic
605#383C2311yescharacteristic
606#382C2312yes—
607#382C2312yes—
608#382C2312yes—
609#382C2311yescharacteristic
610#382C2311yescharacteristic
611#382C2312yes—
612#382C2312yes—
613#382C2314yes—
614#382C2311yescharacteristic
615#382C2312yes—
616#382C2311yescharacteristic
617#382C2314yes—
618#381C2314yes—
619#381C2312yes—
620#381C2314yes—
621#381C2312yes—
622#381C2312yes—
623#381C2312yes—
624#381C2312yes—
625#381C2311yescharacteristic
626#381C2311yescharacteristic
627#381C2312yes—
628#380C2314yes—
629#380C2314yes—
630#380C2312yes—
631#380C2314yes—
632#380C2314yes—
633#380C2314yes—
634#380C2314yes—
635#380C2314yes—
636#380C2314yes—
637#380C2312yes—
638#380C2311yescharacteristic
639#380C2311yescharacteristic
640#380C2312yes—
641#380C2312yes—
642#380C2312yes—
643#380C2312yes—
644#380C2314yes—
645#380C2314yes—
646#380C2314yes—
647#380C2312yes—
648#380C2314yes—
649#380C2314yes—
650#380C2312yes—
651#380C2312yes—
652#380C2312yes—
653#380C2314yes—
654#380C2312yes—
655#380C2312yes—
656#380C2314yes—
657#380C2314yes—
658#380C2311yescharacteristic
659#380C2312yes—
660#380C2311yescharacteristic
661#379C2314yes—
662#379C2314yes—
663C4×C4⋊C4C2311yescharacteristic
664C4×C4⋊C4C2312yes—
665C4×C4⋊C4C2312yes—
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2311yescharacteristic
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2311yescharacteristic
683C4×C4⋊C4C2311yescharacteristic
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2311yescharacteristic
701C4×C22⋊C4C2311yescharacteristic
702#376C2312yes—
703#376C2312yes—
704#376C2312yes—
705#376C2311yescharacteristic
706#376C2311yescharacteristic
707C2×#95C2314yes—
708C2×#95C2312yes—
709C2×#95C2312yes—
710C2×#95C2314yes—
711C2×#95C2314yes—
712C2×#95C2314yes—
713C2×#95C2312yes—
714C2×#95C2312yes—
715C2×#95C2314yes—
716C43C2312yes—
717C25C2412yes—
718C22×Q8C2412yes—
719C22×Q8C2412yes—
720C22×Q8C2414yes—
721C22×Q8C2414yes—
722C22×D4—24no—
723C22×D4—24no—
724C22×D4C2×Q818yes—
725C22×D4C2412yes—
726C22×D4C2411yescharacteristic
727C22×D4C2411yescharacteristic
728C23×C4—84no—
729C23×C4C2×Q8116yes—
730C23×C4C2414yes—
731C23×C4C2411yescharacteristic
732C23×C4C2414yes—
733C23×C4C2414yes—
734C23×C4C2414yes—
735C23×C4C2414yes—
736C23×C4C2414yes—
737C23×C4C2414yes—
738C23×C4C2414yes—
739C23×C4C2411yescharacteristic
740C23×C4C2412yes—
741C23×C4C2412yes—
742C23×C4C2412yes—
743C23×C4C2412yes—
744C23×C4C2412yes—
745C23×C4C2411yescharacteristic
746C4⋊Q8—44no—
747C4⋊Q8—44no—
748C4⋊Q8—44no—
749C4⋊Q8—84no—
750C4⋊Q8—84no—
751#125—44no—
752#125—44no—
753#125—44no—
754#125—44no—
755#125—44no—
756#125—48no—
757#125—84no—
758#125—84no—
759C22⋊Q8—48no—
760C22⋊Q8—48no—
761C22⋊Q8—48no—
762C22⋊Q8—48no—
763C22⋊Q8—48no—
764C22⋊Q8—48no—
765C22⋊Q8—48no—
766C22⋊Q8—48no—
767C22⋊Q8—84no—
768C22⋊Q8—84no—
769C4×Q8—44no—
770C4×Q8—44no—
771C4×D4—28no—
772C4×D4—28no—
773C4×D4—28no—
774C4×D4—28no—
775C4×D4—28no—
776C4×D4—28no—
777C4×D4—44no—
778C4×D4—44no—
779C4×D4—48no—
780C4×D4—48no—
781C4×D4C2×Q8116yes—
782C4×D4C2×Q818yes—
783C4×D4C2×Q8116yes—
784C4×D4C2×Q818yes—
785C4×D4C2×Q818yes—
786C4×D4C2×Q818yes—
787#117—42no—
788#117—42no—
789#117—44no—
790#117—42no—
791#117—42no—
792#117—84no—
793#117—84no—
794C2×C4⋊C4—48no—
795C2×C4⋊C4—48no—
796C2×C4⋊C4—48no—
797C2×C4⋊C4—48no—
798C2×C4⋊C4—84no—
799C2×C4⋊C4—84no—
800C2×C4⋊C4—84no—
801C2×C4⋊C4—84no—
802C2×C4⋊C4C2×Q818yes—
803C2×C4⋊C4C2412yes—
804C2×C4⋊C4C2412yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2412yes—
808C2×C4⋊C4C2412yes—
809C2×C4⋊C4C2412yes—
810C2×C4⋊C4C2412yes—
811C2×C4⋊C4C2412yes—
812C2×C4⋊C4C2412yes—
813C2×C4⋊C4C2412yes—
814C2×C4⋊C4C2412yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2412yes—
818C2×C4⋊C4C2412yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2412yes—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2412yes—
880C2×C22⋊C4—48no—
881C2×C22⋊C4—44no—
882C2×C22⋊C4—44no—
883C2×C22⋊C4—44no—
884C2×C22⋊C4—44no—
885C2×C22⋊C4—84no—
886C2×C22⋊C4C2×Q8116yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2411yescharacteristic
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2411yescharacteristic
898C2×C22⋊C4C2411yescharacteristic
899C2×C22⋊C4C2411yescharacteristic
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C42—84no—
920C2×C42C2×Q818yes—
921C2×C42C2412yes—
922C2×C42C2412yes—
923C2×C42C2412yes—
924C2×C42C2412yes—
925C2×C42C2412yes—
926C2×C42C2412yes—
927C2×C42C2412yes—
928C2×C42C2412yes—
929C2×C42C2412yes—
930C2×C42C2412yes—
931C2×C42C2414yes—
932C2×C42C2414yes—
933C2×C42C2412yes—
934C2×C42C2414yes—
935C2×C42C2414yes—
936C2×C42C2414yes—
937C2×C42C2414yes—
938C2×C42C2412yes—
939C2×C42C2411yescharacteristic
940C2×C42C2411yescharacteristic
941C2×C42C2411yescharacteristic
942C2×C42C2411yescharacteristic
943#95C2411yescharacteristic
944#95C2411yescharacteristic
945#95C2412yes—
946#95C2412yes—
947#95C2414yes—
948#95C2412yes—
949#95C2411yescharacteristic
950#95C2411yescharacteristic
951#95C2412yes—
952#95C2412yes—
953#95C2412yes—
954#95C2412yes—
955#95C2412yes—
956#95C2412yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2412yes—
975#95C2412yes—
976#95C2412yes—
977#95C2411yescharacteristic
978#95C2411yescharacteristic
979#95C2412yes—
980#95C2412yes—
981#95C2414yes—
982#95C2414yes—
983#95C2412yes—
984#95C2412yes—
985#95C2411yescharacteristic
986#95C2411yescharacteristic
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2412yes—
991#95C2412yes—
992#95C2412yes—
993#95C2412yes—
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2412yes—
998#95C2412yes—
999#95C2414yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017C24—24no—
1018C24—24no—
1019C24—44no—
1020C24—44no—
1021C24C22×Q818yes—
1022C24C2511yescharacteristic
1023C24C2512yes—
1024C24C2512yes—
1025C2×Q8—42no—
1026C2×Q8—42no—
1027C2×Q8—42no—
1028C2×Q8—42no—
1029C2×Q8—42no—
1030C2×Q8—42no—
1031C2×Q8—44no—
1032C2×Q8—44no—
1033C2×Q8—44no—
1034C2×Q8—44no—
1035C2×Q8—44no—
1036C2×Q8—44no—
1037C2×D4—24no—
1038C2×D4—24no—
1039C2×D4—232no—
1040C2×D4—22no—
1041C2×D4—22no—
1042C2×D4C22×Q818yes—
1043C2×D4C22×Q814yes—
1044C2×D4C22×Q814yes—
1045C2×D4H(5,𝔽2)14yes—
1046C2×D42−1+414yes—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—28no—
1050C22×C4—28no—
1051C22×C4—28no—
1052C22×C4—28no—
1053C22×C4—28no—
1054C22×C4—28no—
1055C22×C4—28no—
1056C22×C4—44no—
1057C22×C4—44no—
1058C22×C4—44no—
1059C22×C4—44no—
1060C22×C4—42no—
1061C22×C4—44no—
1062C22×C4—44no—
1063C22×C4—42no—
1064C22×C4—44no—
1065C22×C4—44no—
1066C22×C4—44no—
1067C22×C4—44no—
1068C22×C4—44no—
1069C22×C4—44no—
1070C22×C4—44no—
1071C22×C4—44no—
1072C22×C4—44no—
1073C22×C4—44no—
1074C22×C4—44no—
1075C22×C4—44no—
1076C22×C4—44no—
1077C22×C4—44no—
1078C22×C4—44no—
1079C22×C4—44no—
1080C22×C4—816no—
1081C22×C4C22×Q814yes—
1082C22×C4C22×Q814yes—
1083C22×C4C22×Q814yes—
1084C22×C4C22×Q818yes—
1085C22×C4C22×Q818yes—
1086C22×C4C22×Q818yes—
1087C22×C4C22×Q818yes—
1088C22×C4C22×Q818yes—
1089C22×C4C2512yes—
1090C22×C4C2514yes—
1091C22×C4C2514yes—
1092C22×C4C2512yes—
1093C22×C4C2512yes—
1094C22×C4C2512yes—
1095C22×C4C2512yes—
1096C22×C4C2514yes—
1097C22×C4C2512yes—
1098C22×C4C2512yes—
1099C22×C4C2512yes—
1100C22×C4C2514yes—
1101C22×C4C2512yes—
1102C22×C4C2512yes—
1103C22×C4C2514yes—
1104C22×C4C2512yes—
1105C22×C4C2514yes—
1106C22×C4C2511yescharacteristic
1107C22×C4C2511yescharacteristic
1108C22×C4C2511yescharacteristic
1109C22×C4C2511yescharacteristic
1110C22×C4C2511yescharacteristic
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2512yes—
1114C22×C4C2511yescharacteristic
1115C4⋊C4—24no—
1116C4⋊C4—24no—
1117C4⋊C4—24no—
1118C4⋊C4—24no—
1119C4⋊C4—24no—
1120C4⋊C4—24no—
1121C4⋊C4—24no—
1122C4⋊C4—24no—
1123C4⋊C4—28no—
1124C4⋊C4—28no—
1125C4⋊C4—24no—
1126C4⋊C4—24no—
1127C4⋊C4—24no—
1128C4⋊C4—42no—
1129C4⋊C4—42no—
1130C4⋊C4—44no—
1131C4⋊C4—44no—
1132C4⋊C4—44no—
1133C4⋊C4—44no—
1134C4⋊C4—44no—
1135C4⋊C4—44no—
1136C4⋊C4—44no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—44no—
1140C4⋊C4—42no—
1141C4⋊C4—42no—
1142C4⋊C4—44no—
1143C4⋊C4—42no—
1144C4⋊C4—42no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
1150C4⋊C4—44no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—42no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—42no—
1163C4⋊C4—42no—
1164C4⋊C4—42no—
1165C4⋊C4—42no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—44no—
1172C4⋊C4—42no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—44no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—42no—
1184C4⋊C4—44no—
1185C4⋊C4—42no—
1186C4⋊C4—42no—
1187C4⋊C4—42no—
1188C4⋊C4—42no—
1189C4⋊C4C22×Q818yes—
1190C4⋊C4C22×Q814yes—
1191C4⋊C4C22×Q814yes—
1192C22⋊C4—28no—
1193C22⋊C4—28no—
1194C22⋊C4—28no—
1195C22⋊C4—28no—
1196C22⋊C4—28no—
1197C22⋊C4—28no—
1198C22⋊C4—24no—
1199C22⋊C4—28no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—42no—
1205C22⋊C4—42no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—42no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—42no—
1215C22⋊C4—42no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—44no—
1220C22⋊C4C22×Q818yes—
1221C22⋊C4C22×Q818yes—
1222C22⋊C4C22×Q818yes—
1223C22⋊C4C22×Q818yes—
1224C42—24no—
1225C42—24no—
1226C42—24no—
1227C42—24no—
1228C42—24no—
1229C42—24no—
1230C42—24no—
1231C42—42no—
1232C42—44no—
1233C42—44no—
1234C42—44no—
1235C42—42no—
1236C42—42no—
1237C42—42no—
1238C42—42no—
1239C42—44no—
1240C42—44no—
1241C42—44no—
1242C42C22×Q814yes—
1243C42C22×Q814yes—
1244C42C22×Q814yes—
1245C42C22×Q814yes—
1246C23—24no—
1247C23—24no—
1248C23—21no—
1249C23—22no—
1250C23—21no—
1251C23—22no—
1252C23—24no—
1253C23—22no—
1254C23—24no—
1255C23—22no—
1256C23—216no—
1257C23—48no—
1258C23—48no—
1259C23—88no—
1260C23—88no—
1261C23C23×Q814yes—
1262C23C23×Q812yes—
1263C23C23×Q814yes—
1264C23C2×H(5,𝔽2)14yes—
1265C23C2×2−1+414yes—
1266C23C2611yescharacteristic
1267Q8—84no—
1268Q8—84no—
1269Q8—164no—
1270Q8—164no—
1271D4—216no—
1272D4—28no—
1273D4#544116yes—
1274C2×C4—21no—
1275C2×C4—22no—
1276C2×C4—21no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—22no—
1280C2×C4—22no—
1281C2×C4—24no—
1282C2×C4—24no—
1283C2×C4—22no—
1284C2×C4—28no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—24no—
1294C2×C4—24no—
1295C2×C4—24no—
1296C2×C4—24no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—24no—
1301C2×C4—24no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—24no—
1306C2×C4—24no—
1307C2×C4—24no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—24no—
1311C2×C4—22no—
1312C2×C4—24no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—24no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—24no—
1322C2×C4—24no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—24no—
1326C2×C4—24no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—24no—
1332C2×C4—22no—
1333C2×C4—24no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—44no—
1337C2×C4—48no—
1338C2×C4—48no—
1339C2×C4—48no—
1340C2×C4—48no—
1341C2×C4—48no—
1342C2×C4—44no—
1343C2×C4—416no—
1344C2×C4—88no—
1345C2×C4—88no—
1346C2×C4—88no—
1347C2×C4—88no—
1348C2×C4—88no—
1349C2×C4—164no—
1350C2×C4—164no—
1351C2×C4C23×Q812yes—
1352C2×C4C23×Q812yes—
1353C2×C4C23×Q812yes—
1354C2×C4C23×Q812yes—
1355C2×C4C23×Q812yes—
1356C2×C4C23×Q814yes—
1357C2×C4C23×Q814yes—
1358C2×C4C23×Q812yes—
1359C2×C4C2×H(5,𝔽2)12yes—
1360C2×C4C2×2−1+412yes—
1361C2×C4#58514yes—
1362C22—24no—
1363C22—24no—
1364C22—28no—
1365C22—28no—
1366C22—22no—
1367C22—24no—
1368C22—22no—
1369C22—24no—
1370C22—22no—
1371C22—24no—
1372C22—44no—
1373C22—42no—
1374C22—44no—
1375C22—42no—
1376C22—816no—
1377C22C2×#54418yes—
1378C22C24×Q811yescharacteristic
1379C22C22×H(5,𝔽2)11yescharacteristic
1380C22C22×2−1+411yescharacteristic
1381C22C2×#58512yes—
1382C22H(7,𝔽2)12yes—
1383C4—22no—
1384C4—22no—
1385C4—22no—
1386C4—22no—
1387C4—24no—
1388C4—24no—
1389C4—22no—
1390C4—24no—
1391C4—42no—
1392C4—42no—
1393C4—42no—
1394C4—42no—
1395C4—44no—
1396C4—44no—
1397C4—44no—
1398C4—44no—
1399C4—42no—
1400C4—42no—
1401C4—42no—
1402C4—42no—
1403C4—42no—
1404C4—42no—
1405C4—44no—
1406C4—44no—
1407C4—42no—
1408C4C2×#54414yes—
1409C2—28no—
1410C2—44no—
1411C2—42no—
1412C2C22×#54411yescharacteristic
1413C2#6281311yescharacteristic
1414C2#6284311yescharacteristic
1415C2#6292012yes—
1416C2#6294812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42499C2semidirect
2. #42495C2semidirect
3. #42489C2semidirect
4. #42488C2semidirect
5. #40621C2semidirect
6. #40617C2semidirect
7. #40613C2semidirect
8. #40611C2semidirect
9. #39976C2semidirect
10. #39972C2semidirect
11. #38443C2semidirect
12. #38441C2semidirect
13. #37567C2semidirect
14. #37565C2semidirect
15. #37478C2semidirect
16. #37476C2semidirect
17. #36261C2semidirect
18. #36239C2semidirect
19. #35950C2semidirect
20. #35858C2semidirect
23. #35202C2semidirect
24. #35079C2semidirect
25. #34625C2semidirect
26. C2×#2667C2semidirect
35. #2864C22semidirect
36. #2859C22semidirect
37. #2857C22semidirect
38. #2851C22semidirect
39. #2843C22semidirect
43. #2841C22semidirect
44. #2841C22semidirect
45. #2807C22semidirect
46. #2807C22semidirect
47. #2802C22semidirect
48. #2802C22semidirect
49. #2792C22semidirect
50. #2791C22semidirect
51. #2790C22semidirect
52. #2790C22semidirect
53. #2788C22semidirect
54. #2774C22semidirect
55. #2768C22semidirect
56. #2768C22semidirect
57. #2768C22semidirect
58. #2755C22semidirect
59. #2742C22semidirect
60. #2734C22semidirect
61. #2729C22semidirect
62. #2726C22semidirect
63. #2720C22semidirect
64. #2720C22semidirect
65. #2720C22semidirect
66. #2704C22semidirect
67. #2704C22semidirect
68. #2677C22semidirect
78. #2667C22semidirect
79. #2667C22semidirect
80. #2667C22semidirect
81. #2667C22semidirect
82. #2666C22semidirect
83. #2666C22semidirect
84. #2666C22semidirect
90. #2660C22semidirect
91. #2660C22semidirect
92. #2659C22semidirect
93. #2647C22semidirect
94. #2647C22semidirect
95. #2646C22semidirect
102. #2627C22semidirect
103. #2627C22semidirect
106. #2612C22semidirect
107. #2606C22semidirect
108. #2606C22semidirect
109. #2606C22semidirect
110. #2605C22semidirect
111. #2584C22semidirect
112. #2584C22semidirect
113. #2584C22semidirect
114. #2583C22semidirect
115. #2583C22semidirect
116. #2583C22semidirect
119. #2570C22semidirect
120. #2570C22semidirect
121. #2570C22semidirect
122. #2569C22semidirect
123. #2569C22semidirect
124. #2569C22semidirect
127. #2552C22semidirect
128. #2552C22semidirect
129. #2552C22semidirect
130. #2552C22semidirect
131. #2551C22semidirect
132. #2550C22semidirect
133. #2550C22semidirect
134. #2550C22semidirect
135. #2550C22semidirect
136. #2549C22semidirect
137. #2549C22semidirect
138. #2549C22semidirect
139. #2549C22semidirect
140. #2546C22semidirect
143. #2509C22semidirect
144. #2508C22semidirect
145. #2508C22semidirect
146. #2507C22semidirect
147. #2507C22semidirect
148. #2507C22semidirect
149. #2506C22semidirect
150. #2506C22semidirect
151. #2505C22semidirect
152. #2505C22semidirect
153. #2505C22semidirect
154. #2502C22semidirect
156. #2473C22semidirect
157. #2473C22semidirect
158. #2473C22semidirect
159. #2473C22semidirect
160. #2473C22semidirect
169. #2442C22semidirect
170. #2442C22semidirect
176. #2441C22semidirect
177. #2440C22semidirect
178. #2440C22semidirect
179. #2440C22semidirect
180. #2440C22semidirect
181. #2440C22semidirect
184. #2439C22semidirect
185. #2438C22semidirect
186. #2438C22semidirect
192. #2402C22semidirect
193. #2399C22semidirect
197. C2×#398C22semidirect
198. C2×#398C22semidirect
230. #2330C22semidirect
231. #2329C22semidirect
232. #2329C22semidirect
239. C4×C4⋊Q8C22semidirect
240. C4×#125C22semidirect
242. C2×#389C22semidirect
244. C2×#387C22semidirect
290. C2×C4×D4Q8semidirect

Maximal subgroups

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

subgroupindex
#424992
#424952
#424892
#424882
#406212
#406172
#406132
#406112
#399762
#399722
#384432
#384412
#375672
#375652
#374782
#374762
#362612
#362392
#359502
#358582
#358362
#357762
#352022
#350792
#346252
C2×#26672
#341902
#341812
#341262