Finite Group Databasebeta

← #7732012

Subgroups — #7732012

Order 512.

4752 conjugacy classes of subgroups.

The subgroup lattice has 1521 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48044C214yesmaximal, complemented
2#48041C214yesmaximal, complemented
3#47009C214yesmaximal, complemented
4#46468C214yesmaximal, complemented
5#43078C214yesmaximal, complemented
6#43052C214yesmaximal, complemented
7#39799C212yesmaximal, complemented
8#39796C212yesmaximal, complemented
9#39752C212yesmaximal, complemented
10#39748C212yesmaximal, complemented
11#39563C212yesmaximal, complemented
12#39077C212yesmaximal, complemented
13#38251C212yesmaximal, complemented
14#38122C212yesmaximal, complemented
15#37894C212yesmaximal, complemented
16#37783C212yesmaximal, complemented
17#37442C211yesmaximal, characteristic
18#37400C212yesmaximal, complemented
19#37364C212yesmaximal, complemented
20#36278C212yesmaximal, complemented
21#36129C212yesmaximal, complemented
22#35665C212yesmaximal, complemented
23#35599C212yesmaximal, complemented
24#35306C211yesmaximal, characteristic
25#35011C211yesmaximal, characteristic, complemented
26C2×#2439C211yesmaximal, characteristic, complemented
27#34380C211yesmaximal, characteristic, complemented
28#34203C211yesmaximal, characteristic, complemented
29#34082C211yesmaximal, characteristic
30C2×#536C2211yescharacteristic
31C2×#533C2212yescomplemented
32C22×C4⋊Q8C2211yescharacteristic
33C2×#525C2211yescharacteristic
34C22×C22⋊Q8C2211yescharacteristic
35C22×C22⋊Q8C2211yescharacteristic
36C2×#519C2211yescharacteristic
37C22×#117C2211yescharacteristic
38#2863C2212yescomplemented
39#2862C2212yescomplemented
40#2857C2212yes—
41#2857C2212yes—
42#2857C2212yes—
43#2857C2212yescomplemented
44#2855C2212yescomplemented
45#2850C2212yes—
46#2814C2214yes—
47#2809C2214yescomplemented
48#2806C2214yescomplemented
49#2802C2214yescomplemented
50#2802C2214yescomplemented
51#2799C2214yescomplemented
52#2799C2214yescomplemented
53#2791C2214yescomplemented
54#2789C2214yescomplemented
55#2787C2214yescomplemented
56#2786C2214yescomplemented
57#2783C2214yescomplemented
58#2776C2214yescomplemented
59#2775C2214yescomplemented
60#2774C2214yescomplemented
61#2772C2214yescomplemented
62#2772C2214yescomplemented
63#2766C2214yescomplemented
64#2766C2214yescomplemented
65#2765C2214yes—
66#2765C2214yes—
67#2764C2214yes—
68#2764C2214yes—
69#2762C2214yescomplemented
70#2761C2214yes—
71#2759C2214yescomplemented
72#2751C2214yes—
73#2751C2214yes—
74#2750C2214yes—
75#2745C2214yes—
76#2745C2214yes—
77#2744C2214yes—
78#2739C2214yes—
79#2725C2214yescomplemented
80#2713C2214yescomplemented
81#2707C2214yes—
82#2700C2214yescomplemented
83#2695C2214yes—
84#2689C2214yescomplemented
85#2687C2214yes—
86#2687C2214yes—
87#2659C2212yes—
88#2659C2212yes—
89#2659C2212yes—
90#2647C2212yescomplemented
91#2645C2212yescomplemented
92#2639C2212yes—
93#2627C2212yes—
94#2625C2212yes—
95#2625C2212yescomplemented
96#2621C2212yes—
97#2621C2212yescomplemented
98#2620C2212yes—
99#2618C2212yes—
100#2616C2212yes—
101#2609C2214yes—
102#2608C2214yescomplemented
103#2606C2214yescomplemented
104#2605C2214yescomplemented
105#2601C2214yes—
106#2599C2214yes—
107#2599C2214yes—
108#2599C2214yescomplemented
109#2594C2214yescomplemented
110#2590C2214yescomplemented
111#2590C2214yescomplemented
112#2588C2214yescomplemented
113#2587C2214yescomplemented
114#2583C2214yes—
115#2583C2214yes—
116#2581C2214yescomplemented
117#2579C2214yes—
118#2573C2214yes—
119#2569C2214yes—
120#2569C2214yes—
121#2569C2214yes—
122#2569C2214yes—
123#2565C2214yescomplemented
124#2560C2214yescomplemented
125#2558C2214yes—
126#2550C2214yescomplemented
127#2532C2214yescomplemented
128#2527C2214yes—
129#2527C2214yes—
130#2524C2214yescomplemented
131#2520C2214yescomplemented
132#2515C2214yes—
133#2514C2212yescomplemented
134#2514C2212yescomplemented
135#2510C2214yes—
136#2510C2214yes—
137#2510C2214yes—
138#2507C2212yescomplemented
139#2506C2212yescomplemented
140#2502C2212yes—
141#2502C2212yes—
142#2497C2212yescomplemented
143#2496C2212yescomplemented
144#2492C2212yescomplemented
145#2492C2212yescomplemented
146#2486C2212yes—
147#2481C2214yes—
148#2477C2214yes—
149#2477C2214yes—
150#2475C2214yes—
151#2475C2214yes—
152#2474C2214yescomplemented
153#2470C2214yes—
154#2465C2214yescomplemented
155#2462C2214yescomplemented
156#2458C2214yes—
157#2458C2214yes—
158#2453C2214yescomplemented
159#2451C2212yescomplemented
160#2451C2212yescomplemented
161#2451C2214yescomplemented
162#2446C2212yescomplemented
163#2446C2214yescomplemented
164#2446C2212yescomplemented
165#2442C2214yes—
166#2442C2214yes—
167#2439C2212yes—
168#2439C2212yes—
169#2439C2212yes—
170#2439C2214yes—
171#2439C2212yes—
172#2439C2214yes—
173#2439C2214yescomplemented
174#2434C2212yes—
175#2434C2212yes—
176#2429C2212yescomplemented
177#2429C2214yescomplemented
178#2429C2212yescomplemented
179#2421C2212yescomplemented
180#2421C2212yescomplemented
181#2417C2212yes—
182#2417C2212yes—
183#2417C2212yes—
184#2417C2212yes—
185#2415C2212yes—
186#2415C2212yes—
187#2413C2214yes—
188#2412C2214yes—
189#2412C2214yes—
190#2409C2212yes—
191#2409C2214yes—
192C2×#396C2212yes—
193C2×#393C2212yes—
194#2378C2214yes—
195#2362C2212yes—
196#2362C2212yes—
197#2360C2212yes—
198#2360C2212yes—
199#2360C2212yes—
200#2360C2212yes—
201#2353C2214yes—
202#2352C2214yes—
203#2345C2214yes—
204#2344C2212yes—
205#2344C2214yes—
206#2342C2214yes—
207#2342C2214yes—
208Q8×C22⋊C4C2214yes—
209Q8×C22⋊C4C2212yes—
210#2335C2212yes—
211#2335C2212yes—
212#2333C2212yes—
213#2332C2212yes—
214#2329C2211yescharacteristic
215#2329C2211yescharacteristic
216#2329C2212yes—
217#2329C2212yes—
218#2327C2212yescomplemented
219#2325C2211yescharacteristic
220#2325C2211yescharacteristic
221#2323C2212yes—
222#2323C2212yes—
223#2323C2212yes—
224#2323C2212yes—
225#2323C2212yescomplemented
226#2321C2212yes—
227#2321C2212yes—
228#2320C2212yescomplemented
229#2317C2211yescharacteristic
230#2316C2212yes—
231#2316C2211yescharacteristic
232#2315C2212yes—
233#2315C2212yes—
234#2314C2212yescomplemented
235#2313C2212yes—
236#2311C2211yescharacteristic
237#2310C2211yescharacteristic
238#2310C2211yescharacteristic
239C4×C4⋊Q8C2212yescomplemented
240C4×C22⋊Q8C2212yes—
241C4×C22⋊Q8C2212yes—
242C4×C22⋊Q8C2212yescomplemented
243#2298C2212yes—
244#2297C2212yes—
245#2295C2212yescomplemented
246C2×#391C2212yes—
247#2293C2212yes—
248C2×#389C2211yescharacteristic
249C2×#389C2211yescharacteristic
250#2290C2212yes—
251#2290C2212yes—
252C2×#387C2212yes—
253C2×#382C2211yescharacteristic
254#2280C2211yescharacteristic
255C2×#380C2211yescharacteristic
256#2274C2211yescharacteristic
257C42×D4C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C23×Q8C2311yescharacteristic
261C23×Q8C2311yescharacteristic
262C23×Q8C2312yes—
263C24×C4C2311yescharacteristic
264#536—44no—
265#533—48no—
266C2×C4⋊Q8—44no—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2312yes—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2312yes—
271C2×C4⋊Q8C2312yes—
272C2×C4⋊Q8C2314yes—
273C2×#126C2314yes—
274C2×#125C2314yes—
275C2×#125C2314yes—
276C2×#124C2312yes—
277#525—28no—
278C2×#123C2312yes—
279C2×#123C2314yes—
280C2×#123C2314yes—
281C2×C22⋊Q8—28no—
282C2×C22⋊Q8—28no—
283C2×C22⋊Q8C2312yes—
284C2×C22⋊Q8C2312yes—
285C2×C22⋊Q8C2312yes—
286C2×C22⋊Q8C2312yes—
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2311yescharacteristic
289C2×C22⋊Q8C2311yescharacteristic
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2314yes—
298C2×C22⋊Q8C2314yes—
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#120C2312yes—
302#519—44no—
303C2×C4×Q8C2312yes—
304C2×C4×Q8C2312yes—
305C2×C4×Q8C2312yes—
306C2×C4×Q8C2312yes—
307C2×C4×Q8C2312yes—
308C2×C4×Q8C2314yes—
309C2×C4×Q8C2312yes—
310C2×C4×Q8C2314yes—
311C2×C4×D4C2312yes—
312C2×C4×D4C2312yes—
313C2×C4×D4C2312yes—
314C2×C4×D4C2312yes—
315C2×#117—44no—
316C2×#117C2311yescharacteristic
317C2×#117C2311yescharacteristic
318C2×#117C2311yescharacteristic
319C2×#117C2311yescharacteristic
320C2×#117C2311yescharacteristic
321C2×#117C2311yescharacteristic
322C2×#117C2312yes—
323C2×#117C2311yescharacteristic
324C2×#117C2312yes—
325C2×#117C2314yes—
326C2×#117C2314yes—
327C2×#117C2312yes—
328C2×#117C2314yes—
329C22×C4⋊C4C2311yescharacteristic
330C22×C4⋊C4C2312yes—
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2312yes—
333C22×C4⋊C4C2312yes—
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2312yes—
336C22×C4⋊C4C2311yescharacteristic
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2311yescharacteristic
339C22×C4⋊C4C2312yes—
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2312yes—
343C22×C22⋊C4C2312yes—
344C22×C22⋊C4C2312yes—
345C22×C22⋊C4C2312yes—
346C22×C42C2312yes—
347C22×C42C2312yes—
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350#401C2314yes—
351#401C2314yes—
352#401C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#398C2314yes—
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#398C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#395C2314yes—
419#395C2314yes—
420#395C2314yes—
421#395C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#395C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#393C2314yes—
432#393C2314yes—
433#393C2314yes—
434#393C2314yes—
435#393C2314yes—
436#393C2314yes—
437#393C2314yes—
438#391C2314yes—
439#391C2314yes—
440#391C2314yes—
441#391C2314yes—
442#391C2312yes—
443#391C2312yes—
444#391C2312yes—
445#391C2312yes—
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2314yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2314yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2314yes—
471#390C2312yes—
472#390C2312yes—
473#390C2312yes—
474#390C2312yes—
475#390C2312yes—
476#389C2312yes—
477#389C2314yes—
478#389C2312yes—
479#389C2314yes—
480#389C2314yes—
481#389C2312yes—
482#389C2312yes—
483#389C2314yes—
484#389C2312yes—
485#389C2312yes—
486#389C2314yes—
487#389C2312yes—
488#389C2314yes—
489#389C2312yes—
490#389C2314yes—
491#389C2312yes—
492#389C2312yes—
493#389C2314yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2312yes—
501#389C2312yes—
502#389C2314yes—
503#389C2314yes—
504#389C2312yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2312yes—
517#388C2314yes—
518#388C2312yes—
519#388C2312yes—
520#388C2312yes—
521#388C2312yes—
522#388C2312yes—
523#388C2312yes—
524#388C2312yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2312yes—
535#388C2312yes—
536#388C2314yes—
537#388C2312yes—
538#388C2312yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#387C2314yes—
546#387C2312yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2314yes—
578#387C2314yes—
579#387C2312yes—
580#387C2312yes—
581#387C2314yes—
582#387C2312yes—
583#387C2312yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#386C2312yes—
599#386C2314yes—
600#386C2312yes—
601#386C2312yes—
602#386C2312yes—
603#386C2312yes—
604#386C2312yes—
605#386C2312yes—
606#386C2314yes—
607#386C2314yes—
608#386C2312yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#385C2312yes—
613#385C2312yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2312yes—
630#385C2312yes—
631#385C2314yes—
632#384C2312yes—
633#384C2312yes—
634#384C2312yes—
635#383C2314yes—
636#383C2314yes—
637#383C2314yes—
638#383C2314yes—
639#382C2314yes—
640#382C2312yes—
641#382C2312yes—
642#382C2314yes—
643#382C2314yes—
644#382C2312yes—
645#382C2314yes—
646#381C2314yes—
647#381C2314yes—
648#381C2314yes—
649#381C2314yes—
650#381C2312yes—
651#381C2314yes—
652#380C2312yes—
653#380C2312yes—
654#380C2311yescharacteristic
655#380C2312yes—
656#380C2314yes—
657#380C2314yes—
658#380C2314yes—
659#380C2314yes—
660#380C2314yes—
661#380C2314yes—
662#380C2314yes—
663#380C2312yes—
664#380C2314yes—
665#380C2311yescharacteristic
666#380C2314yes—
667#380C2314yes—
668#380C2312yes—
669#380C2312yes—
670#380C2311yescharacteristic
671#380C2311yescharacteristic
672#380C2312yes—
673#380C2314yes—
674#380C2312yes—
675#379C2312yes—
676C4×C4⋊C4C2314yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2312yes—
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⋊C4C2314yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710#376C2312yes—
711#376C2314yes—
712C2×#95C2312yes—
713C2×#95C2312yes—
714C2×#95C2312yes—
715C2×#95C2312yes—
716C2×#95C2311yescharacteristic
717C2×#95C2311yescharacteristic
718C2×#95C2312yes—
719C43C2312yes—
720C25C2411yescharacteristic
721C2×#41—24no—
722C2×#41—42no—
723C2×#41—42no—
724C22×Q8—24no—
725C22×Q8—24no—
726C22×Q8—28no—
727C22×Q8—42no—
728C22×Q8—42no—
729C22×Q8—44no—
730C22×Q8—42no—
731C22×Q8—42no—
732C22×Q8—82no—
733C22×Q8C2412yes—
734C22×Q8C2412yes—
735C22×Q8C2414yes—
736C22×Q8C2412yes—
737C22×Q8C2412yes—
738C22×Q8C2411yescharacteristic
739C22×Q8C2414yes—
740C22×D4C2412yes—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2411yescharacteristic
744C23×C4—42no—
745C23×C4—42no—
746C23×C4#4118yes—
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2411yescharacteristic
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2411yescharacteristic
758C23×C4C2412yes—
759C23×C4C2412yes—
760C23×C4C2411yescharacteristic
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C4⋊Q8—28no—
769C4⋊Q8—44no—
770C4⋊Q8—44no—
771C4⋊Q8—44no—
772C4⋊Q8—44no—
773C4⋊Q8—48no—
774#126—84no—
775#125—48no—
776#125—84no—
777#124—44no—
778#123—28no—
779#123—48no—
780#123—84no—
781C22⋊Q8—28no—
782C22⋊Q8—28no—
783C22⋊Q8—28no—
784C22⋊Q8—28no—
785C22⋊Q8—28no—
786C22⋊Q8—28no—
787C22⋊Q8—28no—
788C22⋊Q8—28no—
789C22⋊Q8—24no—
790C22⋊Q8—24no—
791C22⋊Q8—28no—
792C22⋊Q8—48no—
793C22⋊Q8—44no—
794C22⋊Q8—44no—
795C22⋊Q8—44no—
796C22⋊Q8—84no—
797#121—24no—
798#121—24no—
799#120—28no—
800C4×Q8—28no—
801C4×Q8—44no—
802C4×Q8—44no—
803C4×Q8—44no—
804C4×Q8—44no—
805C4×Q8—44no—
806C4×Q8—48no—
807C4×Q8—84no—
808C4×D4—28no—
809C4×D4—28no—
810C4×D4—28no—
811C4×D4—28no—
812#117—24no—
813#117—24no—
814#117—24no—
815#117—44no—
816#117—42no—
817#117—42no—
818#117—44no—
819#117—44no—
820#117—48no—
821#117—48no—
822#117—42no—
823#117—42no—
824#117—84no—
825C2×C4⋊C4—24no—
826C2×C4⋊C4—28no—
827C2×C4⋊C4—28no—
828C2×C4⋊C4—24no—
829C2×C4⋊C4—28no—
830C2×C4⋊C4—24no—
831C2×C4⋊C4—42no—
832C2×C4⋊C4—42no—
833C2×C4⋊C4—44no—
834C2×C4⋊C4—42no—
835C2×C4⋊C4—82no—
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2411yescharacteristic
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C22⋊C4—28no—
899C2×C22⋊C4—28no—
900C2×C22⋊C4—24no—
901C2×C22⋊C4—24no—
902C2×C22⋊C4—44no—
903C2×C22⋊C4—82no—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C42—44no—
944C2×C42—42no—
945C2×C42—44no—
946C2×C42—42no—
947C2×C42C2414yes—
948C2×C42C2412yes—
949C2×C42C2412yes—
950C2×C42C2412yes—
951C2×C42C2412yes—
952C2×C42C2412yes—
953C2×C42C2412yes—
954C2×C42C2412yes—
955C2×C42C2412yes—
956C2×C42C2412yes—
957C2×C42C2412yes—
958C2×C42C2412yes—
959C2×C42C2414yes—
960C2×C42C2414yes—
961C2×C42C2414yes—
962C2×C42C2414yes—
963C2×C42C2412yes—
964C2×C42C2412yes—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2412yes—
968C2×C42C2412yes—
969C2×C42C2412yes—
970C2×C42C2414yes—
971C2×C42C2412yes—
972#95C2414yes—
973#95C2412yes—
974#95C2412yes—
975#95C2412yes—
976#95C2412yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2412yes—
990#95C2412yes—
991#95C2412yes—
992#95C2412yes—
993#95C2412yes—
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2412yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042C24—22no—
1043C24—22no—
1044C24—41no—
1045C24—41no—
1046C24—41no—
1047C24—41no—
1048C24C2×#4114yes—
1049C24C2512yes—
1050C24C2511yescharacteristic
1051C24C2511yescharacteristic
1052C24C2511yescharacteristic
1053#41—88no—
1054C2×Q8—24no—
1055C2×Q8—24no—
1056C2×Q8—24no—
1057C2×Q8—24no—
1058C2×Q8—22no—
1059C2×Q8—24no—
1060C2×Q8—24no—
1061C2×Q8—28no—
1062C2×Q8—28no—
1063C2×Q8—28no—
1064C2×Q8—24no—
1065C2×Q8—24no—
1066C2×Q8—42no—
1067C2×Q8—44no—
1068C2×Q8—42no—
1069C2×Q8—44no—
1070C2×Q8—42no—
1071C2×Q8—44no—
1072C2×Q8—41no—
1073C2×Q8—42no—
1074C2×Q8—41no—
1075C2×Q8—416no—
1076C2×Q8—88no—
1077C2×Q8—816no—
1078C2×D4—24no—
1079C2×D4—24no—
1080C2×D4—24no—
1081C2×D4—24no—
1082C2×D4—24no—
1083C2×D4—22no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—41no—
1087C2×D4—42no—
1088C2×D4—41no—
1089C2×D4—42no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—24no—
1097C22×C4—24no—
1098C22×C4—24no—
1099C22×C4—24no—
1100C22×C4—24no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—24no—
1104C22×C4—24no—
1105C22×C4—24no—
1106C22×C4—24no—
1107C22×C4—24no—
1108C22×C4—24no—
1109C22×C4—24no—
1110C22×C4—24no—
1111C22×C4—24no—
1112C22×C4—416no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—42no—
1116C22×C4—41no—
1117C22×C4—42no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—42no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—41no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—41no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—42no—
1142C22×C4—42no—
1143C22×C4—42no—
1144C22×C4—41no—
1145C22×C4—42no—
1146C22×C4C2×#4114yes—
1147C22×C4C2×#4114yes—
1148C22×C4C2×#4114yes—
1149C22×C4C2×#4114yes—
1150C22×C4C2×#4114yes—
1151C22×C4C2×#4114yes—
1152C22×C42−1+414yes—
1153C22×C42−1+414yes—
1154C22×C4C2512yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2512yes—
1158C22×C4C2512yes—
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2514yes—
1162C22×C4C2512yes—
1163C22×C4C2514yes—
1164C22×C4C2512yes—
1165C22×C4C2512yes—
1166C22×C4C2514yes—
1167C22×C4C2514yes—
1168C22×C4C2514yes—
1169C22×C4C2514yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2511yescharacteristic
1173C22×C4C2511yescharacteristic
1174C22×C4C2511yescharacteristic
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2511yescharacteristic
1179C4⋊C4—24no—
1180C4⋊C4—24no—
1181C4⋊C4—24no—
1182C4⋊C4—24no—
1183C4⋊C4—28no—
1184C4⋊C4—28no—
1185C4⋊C4—28no—
1186C4⋊C4—28no—
1187C4⋊C4—22no—
1188C4⋊C4—22no—
1189C4⋊C4—24no—
1190C4⋊C4—24no—
1191C4⋊C4—24no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—28no—
1196C4⋊C4—24no—
1197C4⋊C4—28no—
1198C4⋊C4—28no—
1199C4⋊C4—28no—
1200C4⋊C4—28no—
1201C4⋊C4—24no—
1202C4⋊C4—24no—
1203C4⋊C4—24no—
1204C4⋊C4—42no—
1205C4⋊C4—42no—
1206C4⋊C4—44no—
1207C4⋊C4—42no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—42no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—42no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4H(5,𝔽2)14yes—
1241C22⋊C4—28no—
1242C22⋊C4—28no—
1243C22⋊C4—28no—
1244C22⋊C4—28no—
1245C22⋊C4—24no—
1246C22⋊C4—24no—
1247C22⋊C4—24no—
1248C22⋊C4—24no—
1249C22⋊C4—24no—
1250C22⋊C4—24no—
1251C22⋊C4—24no—
1252C22⋊C4—24no—
1253C22⋊C4—24no—
1254C22⋊C4—28no—
1255C22⋊C4—24no—
1256C22⋊C4—24no—
1257C22⋊C4—24no—
1258C22⋊C4—24no—
1259C22⋊C4—24no—
1260C22⋊C4—24no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—42no—
1266C22⋊C4—44no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—44no—
1273C22⋊C4—42no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—42no—
1280C42—24no—
1281C42—24no—
1282C42—24no—
1283C42—24no—
1284C42—24no—
1285C42—28no—
1286C42—24no—
1287C42—24no—
1288C42—24no—
1289C42—24no—
1290C42—42no—
1291C42—42no—
1292C42—42no—
1293C42—42no—
1294C42—42no—
1295C42—42no—
1296C42—42no—
1297C42—44no—
1298C42—44no—
1299C42—44no—
1300C42—44no—
1301C42—44no—
1302C42—44no—
1303C42—42no—
1304C42—44no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—28no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—44no—
1330C23—44no—
1331C23—82no—
1332C23—82no—
1333C23—82no—
1334C23—82no—
1335C23C22×#4112yes—
1336C23C22×#4112yes—
1337C23C22×#4112yes—
1338C23C2×2−1+412yes—
1339C23C2×2−1+412yes—
1340C23C2611yescharacteristic
1341Q8—416no—
1342Q8—48no—
1343Q8—48no—
1344Q8—48no—
1345Q8—84no—
1346Q8—88no—
1347Q8—82no—
1348D4—48no—
1349D4—82no—
1350D4—84no—
1351D4—84no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—21no—
1357C2×C4—22no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—28no—
1365C2×C4—28no—
1366C2×C4—28no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—24no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—24no—
1373C2×C4—24no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—24no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—24no—
1382C2×C4—24no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—24no—
1394C2×C4—22no—
1395C2×C4—24no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—24no—
1401C2×C4—24no—
1402C2×C4—24no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—24no—
1407C2×C4—24no—
1408C2×C4—24no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—24no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—44no—
1426C2×C4—48no—
1427C2×C4—48no—
1428C2×C4—48no—
1429C2×C4—48no—
1430C2×C4—48no—
1431C2×C4—84no—
1432C2×C4—84no—
1433C2×C4—84no—
1434C2×C4—82no—
1435C2×C4—84no—
1436C2×C4—82no—
1437C2×C4—84no—
1438C2×C4—84no—
1439C2×C4C22×#4112yes—
1440C2×C4C22×#4112yes—
1441C2×C4C22×#4112yes—
1442C2×C4C22×#4112yes—
1443C2×C4C2×H(5,𝔽2)14yes—
1444C2×C4C2×H(5,𝔽2)12yes—
1445C2×C4C2×2−1+414yes—
1446C2×C4C2×2−1+414yes—
1447C2×C4#58512yes—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—42no—
1472C22—42no—
1473C22—42no—
1474C22—42no—
1475C22—88no—
1476C22#350914yes—
1477C22C23×#4111yescharacteristic
1478C22C22×H(5,𝔽2)11yescharacteristic
1479C22C22×2−1+411yescharacteristic
1480C22C22×2−1+411yescharacteristic
1481C22C2×#58511yescharacteristic
1482C22H(7,𝔽2)11yescharacteristic
1483C222−1+611yescharacteristic
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—24no—
1488C4—24no—
1489C4—24no—
1490C4—42no—
1491C4—44no—
1492C4—44no—
1493C4—42no—
1494C4—44no—
1495C4—44no—
1496C4—42no—
1497C4—42no—
1498C4—42no—
1499C4—42no—
1500C4—42no—
1501C4—42no—
1502C4—44no—
1503C4—42no—
1504C4—42no—
1505C4—44no—
1506C4—42no—
1507C4—42no—
1508C4#350514yes—
1509C2—24no—
1510C2—42no—
1511C2—42no—
1512C2—82no—
1513C2C2×#350511yescharacteristic
1514C2C2×#350911yescharacteristic
1515C2#6285611yescharacteristic
1516C2#6289311yescharacteristic
1517C2#6289411yescharacteristic
1518C2#6292911yescharacteristic
1519C2#6293211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #48044C2semidirect
2. #48041C2semidirect
3. #47009C2semidirect
4. #46468C2semidirect
5. #43078C2semidirect
6. #43052C2semidirect
7. #39799C2semidirect
8. #39796C2semidirect
9. #39752C2semidirect
10. #39748C2semidirect
11. #39563C2semidirect
12. #39077C2semidirect
13. #38251C2semidirect
14. #38122C2semidirect
15. #37894C2semidirect
16. #37783C2semidirect
18. #37400C2semidirect
19. #37364C2semidirect
20. #36278C2semidirect
21. #36129C2semidirect
22. #35665C2semidirect
23. #35599C2semidirect
25. #35011C2semidirect
26. C2×#2439C2semidirect
27. #34380C2semidirect
28. #34203C2semidirect
31. C2×#533C22semidirect
38. #2863C22semidirect
39. #2862C22semidirect
43. #2857C22semidirect
44. #2855C22semidirect
47. #2809C22semidirect
48. #2806C22semidirect
49. #2802C22semidirect
50. #2802C22semidirect
51. #2799C22semidirect
52. #2799C22semidirect
53. #2791C22semidirect
54. #2789C22semidirect
55. #2787C22semidirect
56. #2786C22semidirect
57. #2783C22semidirect
58. #2776C22semidirect
59. #2775C22semidirect
60. #2774C22semidirect
61. #2772C22semidirect
62. #2772C22semidirect
63. #2766C22semidirect
64. #2766C22semidirect
69. #2762C22semidirect
71. #2759C22semidirect
79. #2725C22semidirect
80. #2713C22semidirect
82. #2700C22semidirect
84. #2689C22semidirect
90. #2647C22semidirect
91. #2645C22semidirect
95. #2625C22semidirect
97. #2621C22semidirect
102. #2608C22semidirect
103. #2606C22semidirect
104. #2605C22semidirect
108. #2599C22semidirect
109. #2594C22semidirect
110. #2590C22semidirect
111. #2590C22semidirect
112. #2588C22semidirect
113. #2587C22semidirect
116. #2581C22semidirect
123. #2565C22semidirect
124. #2560C22semidirect
126. #2550C22semidirect
127. #2532C22semidirect
130. #2524C22semidirect
131. #2520C22semidirect
133. #2514C22semidirect
134. #2514C22semidirect
138. #2507C22semidirect
139. #2506C22semidirect
142. #2497C22semidirect
143. #2496C22semidirect
144. #2492C22semidirect
145. #2492C22semidirect
152. #2474C22semidirect
154. #2465C22semidirect
155. #2462C22semidirect
158. #2453C22semidirect
159. #2451C22semidirect
160. #2451C22semidirect
161. #2451C22semidirect
162. #2446C22semidirect
163. #2446C22semidirect
164. #2446C22semidirect
173. #2439C22semidirect
176. #2429C22semidirect
177. #2429C22semidirect
178. #2429C22semidirect
179. #2421C22semidirect
180. #2421C22semidirect
218. #2327C22semidirect
225. #2323C22semidirect
228. #2320C22semidirect
234. #2314C22semidirect
239. C4×C4⋊Q8C22semidirect
242. C4×C22⋊Q8C22semidirect
245. #2295C22semidirect

Maximal subgroups

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

subgroupindex
#480442
#480412
#470092
#464682
#430782
#430522
#397992
#397962
#397522
#397482
#395632
#390772
#382512
#381222
#378942
#377832
#374422
#374002
#373642
#362782
#361292
#356652
#355992
#353062
#350112
C2×#24392
#343802
#342032
#340822