Finite Group Databasebeta

← #7645707

Subgroups — #7645707

Order 512.

4658 conjugacy classes of subgroups.

The subgroup lattice has 1509 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#41080C214yesmaximal, complemented
2#41067C214yesmaximal, complemented
3#40970C214yesmaximal, complemented
4#40952C214yesmaximal, complemented
5#39566C212yesmaximal, complemented
6#39553C212yesmaximal, complemented
7#39067C212yesmaximal, complemented
8#39058C212yesmaximal, complemented
9#38265C212yesmaximal, complemented
10#38217C212yesmaximal, complemented
11#37783C212yesmaximal, complemented
12#37757C212yesmaximal, complemented
13#37495C212yesmaximal, complemented
14#37453C211yesmaximal, characteristic, complemented
15#37442C211yesmaximal, characteristic
16#36985C214yesmaximal, complemented
17#36764C212yesmaximal, complemented
18#36762C212yesmaximal, complemented
19#35379C214yesmaximal, complemented
20#35306C211yesmaximal, characteristic
21#35253C211yesmaximal, characteristic, complemented
22#35228C212yesmaximal, complemented
23#35035C212yesmaximal, complemented
24#35026C212yesmaximal, complemented
25#35015C212yesmaximal, complemented
26#34691C212yesmaximal, complemented
27#34212C211yesmaximal, characteristic, complemented
28C2×#2362C211yesmaximal, characteristic, complemented
29#34082C211yesmaximal, characteristic
30C2×#544C2211yescharacteristic
31C2×#536C2211yescharacteristic
32C2×#533C2212yescomplemented
33C2×#525C2211yescharacteristic
34C22×C22⋊Q8C2211yescharacteristic
35C22×C22⋊Q8C2211yescharacteristic
36C22×C4×Q8C2211yescharacteristic
37C22×#117C2211yescharacteristic
38#2864C2212yescomplemented
39#2863C2212yescomplemented
40#2857C2212yes—
41#2857C2212yes—
42#2855C2214yes—
43#2855C2212yescomplemented
44#2853C2214yes—
45#2851C2212yes—
46#2851C2212yescomplemented
47#2850C2212yes—
48#2833C2214yescomplemented
49#2831C2214yescomplemented
50#2817C2214yes—
51#2814C2214yes—
52#2802C2214yescomplemented
53#2796C2214yes—
54#2796C2214yescomplemented
55#2794C2214yescomplemented
56#2793C2214yescomplemented
57#2789C2214yescomplemented
58#2787C2214yes—
59#2787C2214yes—
60#2777C2214yescomplemented
61#2776C2214yescomplemented
62#2766C2214yescomplemented
63#2765C2214yescomplemented
64#2762C2214yescomplemented
65#2758C2214yescomplemented
66#2757C2214yes—
67#2755C2214yescomplemented
68#2750C2214yes—
69#2747C2214yes—
70#2746C2214yes—
71#2745C2214yes—
72#2740C2214yes—
73#2739C2214yes—
74#2739C2214yes—
75#2738C2214yes—
76#2729C2214yescomplemented
77#2728C2214yes—
78#2719C2214yescomplemented
79#2713C2214yescomplemented
80#2707C2214yes—
81#2700C2214yescomplemented
82#2690C2214yes—
83#2687C2214yes—
84#2666C2214yescomplemented
85#2659C2212yes—
86#2655C2214yescomplemented
87#2655C2214yescomplemented
88#2652C2214yescomplemented
89#2650C2214yescomplemented
90#2650C2214yescomplemented
91#2646C2214yes—
92#2645C2212yescomplemented
93#2643C2214yes—
94#2642C2212yescomplemented
95#2639C2212yes—
96#2629C2212yes—
97#2628C2212yes—
98#2627C2212yes—
99#2627C2212yes—
100#2627C2212yes—
101#2627C2212yes—
102#2627C2212yes—
103#2625C2212yes—
104#2625C2212yescomplemented
105#2621C2212yes—
106#2621C2212yes—
107#2621C2212yes—
108#2621C2212yescomplemented
109#2620C2212yes—
110#2618C2212yes—
111#2616C2212yes—
112#2597C2214yes—
113#2595C2214yes—
114#2595C2214yescomplemented
115#2594C2214yescomplemented
116#2590C2214yescomplemented
117#2590C2214yescomplemented
118#2588C2214yescomplemented
119#2588C2214yescomplemented
120#2588C2214yescomplemented
121#2587C2214yescomplemented
122#2585C2214yescomplemented
123#2578C2214yes—
124#2577C2214yes—
125#2576C2214yes—
126#2575C2214yes—
127#2573C2214yes—
128#2573C2214yes—
129#2573C2214yescomplemented
130#2530C2214yes—
131#2529C2214yescomplemented
132#2528C2214yescomplemented
133#2527C2214yes—
134#2525C2214yescomplemented
135#2520C2214yescomplemented
136#2516C2214yes—
137#2514C2212yescomplemented
138#2511C2214yescomplemented
139#2511C2212yescomplemented
140#2510C2214yes—
141#2509C2212yescomplemented
142#2509C2212yescomplemented
143#2507C2214yescomplemented
144#2505C2214yes—
145#2503C2212yes—
146#2503C2212yes—
147#2494C2214yes—
148#2494C2212yescomplemented
149#2494C2212yescomplemented
150#2493C2214yes—
151#2493C2214yes—
152#2492C2212yescomplemented
153#2489C2212yescomplemented
154#2488C2214yes—
155#2486C2212yes—
156#2483C2214yes—
157#2477C2214yes—
158#2475C2214yescomplemented
159#2474C2214yescomplemented
160#2473C2214yes—
161#2470C2214yes—
162#2465C2214yescomplemented
163#2462C2214yescomplemented
164#2458C2214yes—
165#2453C2212yescomplemented
166#2451C2214yescomplemented
167#2451C2212yescomplemented
168#2449C2214yes—
169#2446C2212yescomplemented
170#2446C2214yescomplemented
171#2446C2212yescomplemented
172#2442C2212yes—
173#2441C2212yes—
174#2440C2212yes—
175#2439C2212yes—
176#2438C2214yes—
177#2437C2214yes—
178#2434C2212yes—
179#2434C2212yes—
180#2429C2212yescomplemented
181#2429C2212yescomplemented
182#2423C2212yescomplemented
183#2421C2214yes—
184#2421C2212yescomplemented
185#2419C2214yes—
186#2417C2212yes—
187#2417C2212yes—
188#2417C2212yes—
189#2417C2212yes—
190#2415C2212yes—
191#2415C2212yes—
192#2413C2214yes—
193#2412C2214yes—
194#2412C2214yes—
195#2409C2212yes—
196#2399C2214yescomplemented
197#2396C2214yescomplemented
198#2368C2214yes—
199#2362C2214yes—
200#2362C2212yes—
201#2362C2214yes—
202#2362C2212yes—
203#2362C2212yes—
204#2362C2212yes—
205#2360C2212yes—
206#2360C2212yes—
207#2345C2214yes—
208#2345C2212yes—
209Q8×C22⋊C4C2212yes—
210#2335C2212yes—
211#2335C2212yes—
212#2333C2212yes—
213#2332C2212yes—
214#2331C2212yescomplemented
215#2329C2211yescharacteristic
216#2329C2211yescharacteristic
217#2329C2212yes—
218#2329C2212yes—
219#2325C2211yescharacteristic
220#2325C2211yescharacteristic
221#2323C2212yescomplemented
222#2322C2214yes—
223#2321C2212yes—
224#2321C2212yes—
225#2320C2212yescomplemented
226#2317C2211yescharacteristic
227#2317C2211yescharacteristic
228#2317C2211yescharacteristic
229#2316C2211yescharacteristic
230#2315C2212yes—
231#2314C2212yescomplemented
232#2313C2214yes—
233#2311C2211yescharacteristic
234#2310C2211yescharacteristic
235C4×C4⋊Q8C2212yescomplemented
236C4×C22⋊Q8C2214yes—
237C4×C22⋊Q8C2212yes—
238C4×C22⋊Q8C2212yes—
239C4×C22⋊Q8C2212yescomplemented
240#2298C2212yes—
241#2297C2212yes—
242#2295C2212yescomplemented
243C2×#391C2211yescharacteristic
244#2293C2212yes—
245C2×#389C2211yescharacteristic
246#2290C2212yes—
247#2290C2212yes—
248#2290C2214yes—
249C2×#388C2212yes—
250C2×#388C2212yes—
251C2×#387C2212yes—
252#2280C2211yescharacteristic
253C2×#380C2211yescharacteristic
254#2273C2212yes—
255C42×D4C2212yes—
256C2×C4×C4⋊C4C2211yescharacteristic
257C2×C4×C4⋊C4C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C23×Q8C2311yescharacteristic
261C23×Q8C2311yescharacteristic
262C24×C4C2311yescharacteristic
263#544—44no—
264#536—44no—
265#533—48no—
266C2×C4⋊Q8C2312yes—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2312yes—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2312yes—
271C2×#125C2312yes—
272C2×#125C2312yes—
273C2×#125C2314yes—
274C2×#124C2312yes—
275#525—28no—
276C2×#123C2312yes—
277C2×#123C2314yes—
278C2×#123C2314yes—
279C2×C22⋊Q8—28no—
280C2×C22⋊Q8—28no—
281C2×C22⋊Q8C2312yes—
282C2×C22⋊Q8C2312yes—
283C2×C22⋊Q8C2312yes—
284C2×C22⋊Q8C2312yes—
285C2×C22⋊Q8C2311yescharacteristic
286C2×C22⋊Q8C2311yescharacteristic
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2314yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2314yes—
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#120C2312yes—
301C2×C4×Q8—44no—
302C2×C4×Q8C2312yes—
303C2×C4×Q8C2312yes—
304C2×C4×Q8C2312yes—
305C2×C4×Q8C2312yes—
306C2×C4×Q8C2314yes—
307C2×C4×Q8C2314yes—
308C2×C4×D4C2312yes—
309C2×C4×D4C2312yes—
310C2×C4×D4C2312yes—
311C2×C4×D4C2312yes—
312C2×#117—44no—
313C2×#117C2311yescharacteristic
314C2×#117C2311yescharacteristic
315C2×#117C2311yescharacteristic
316C2×#117C2311yescharacteristic
317C2×#117C2312yes—
318C2×#117C2311yescharacteristic
319C2×#117C2311yescharacteristic
320C2×#117C2311yescharacteristic
321C2×#117C2312yes—
322C2×#117C2312yes—
323C2×#117C2314yes—
324C22×C4⋊C4C2311yescharacteristic
325C22×C4⋊C4C2312yes—
326C22×C4⋊C4C2312yes—
327C22×C4⋊C4C2312yes—
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2311yescharacteristic
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2311yescharacteristic
333C22×C4⋊C4C2312yes—
334C22×C22⋊C4C2312yes—
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2312yes—
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2312yes—
339C22×C22⋊C4C2312yes—
340C22×C42C2312yes—
341C22×C42C2312yes—
342C22×C42C2312yes—
343C22×C42C2311yescharacteristic
344C22×C42C2312yes—
345C22×C42C2311yescharacteristic
346#401C2314yes—
347#401C2314yes—
348#401C2314yes—
349#401C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
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#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#399C2314yes—
378#399C2314yes—
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#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#393C2314yes—
440#393C2314yes—
441#393C2314yes—
442#391C2312yes—
443#391C2312yes—
444#391C2312yes—
445#391C2312yes—
446#391C2312yes—
447#391C2312yes—
448#391C2314yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2314yes—
454#391C2314yes—
455#391C2314yes—
456#391C2314yes—
457#391C2312yes—
458#391C2312yes—
459#391C2314yes—
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2314yes—
467#390C2312yes—
468#390C2312yes—
469#390C2312yes—
470#390C2312yes—
471#390C2312yes—
472#389C2314yes—
473#389C2314yes—
474#389C2312yes—
475#389C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#389C2312yes—
480#389C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2314yes—
485#389C2314yes—
486#389C2314yes—
487#389C2312yes—
488#389C2314yes—
489#389C2314yes—
490#389C2312yes—
491#389C2312yes—
492#389C2314yes—
493#389C2312yes—
494#389C2314yes—
495#389C2314yes—
496#389C2312yes—
497#389C2312yes—
498#389C2314yes—
499#389C2312yes—
500#389C2312yes—
501#389C2314yes—
502#389C2314yes—
503#389C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2312yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2312yes—
512#388C2312yes—
513#388C2312yes—
514#388C2312yes—
515#388C2312yes—
516#388C2312yes—
517#388C2312yes—
518#388C2312yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2312yes—
524#388C2312yes—
525#388C2314yes—
526#388C2314yes—
527#388C2312yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
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#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2312yes—
562#387C2314yes—
563#387C2312yes—
564#387C2312yes—
565#387C2312yes—
566#387C2314yes—
567#387C2312yes—
568#387C2312yes—
569#387C2314yes—
570#387C2312yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2312yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#386C2314yes—
595#386C2312yes—
596#386C2312yes—
597#386C2312yes—
598#386C2312yes—
599#386C2312yes—
600#386C2312yes—
601#386C2314yes—
602#386C2314yes—
603#386C2312yes—
604#386C2312yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2312yes—
620#385C2312yes—
621#385C2314yes—
622#385C2314yes—
623#385C2312yes—
624#385C2312yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#384C2312yes—
631#384C2312yes—
632#384C2312yes—
633#383C2314yes—
634#383C2314yes—
635#383C2314yes—
636#382C2312yes—
637#382C2312yes—
638#382C2312yes—
639#382C2312yes—
640#382C2314yes—
641#382C2314yes—
642#382C2312yes—
643#381C2312yes—
644#381C2314yes—
645#381C2314yes—
646#381C2314yes—
647#381C2314yes—
648#381C2314yes—
649#381C2314yes—
650#381C2314yes—
651#380C2312yes—
652#380C2312yes—
653#380C2314yes—
654#380C2314yes—
655#380C2312yes—
656#380C2314yes—
657#380C2314yes—
658#380C2314yes—
659#380C2314yes—
660#380C2312yes—
661#380C2311yescharacteristic
662#380C2311yescharacteristic
663#380C2312yes—
664#380C2311yescharacteristic
665#380C2311yescharacteristic
666#380C2312yes—
667#380C2314yes—
668#380C2312yes—
669#380C2314yes—
670#380C2312yes—
671#379C2312yes—
672C4×C4⋊C4C2314yes—
673C4×C4⋊C4C2314yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2314yes—
677C4×C4⋊C4C2314yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C22⋊C4C2312yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710#376C2312yes—
711#376C2314yes—
712C2×#95C2311yescharacteristic
713C2×#95C2311yescharacteristic
714C2×#95C2312yes—
715C2×#95C2312yes—
716C2×#95C2312yes—
717C2×#95C2312yes—
718C2×#95C2312yes—
719C43C2312yes—
720C25C2411yescharacteristic
721C2×#41—24no—
722C2×#41—42no—
723C2×#41—42no—
724C22×Q8—24no—
725C22×Q8—24no—
726C22×Q8—42no—
727C22×Q8—42no—
728C22×Q8—42no—
729C22×Q8—42no—
730C22×Q8C2412yes—
731C22×Q8C2412yes—
732C22×Q8C2412yes—
733C22×Q8C2414yes—
734C22×Q8C2412yes—
735C22×Q8C2411yescharacteristic
736C22×D4C2412yes—
737C22×D4C2412yes—
738C22×D4C2412yes—
739C22×D4C2411yescharacteristic
740C23×C4—42no—
741C23×C4—42no—
742C23×C4#4118yes—
743C23×C4C2412yes—
744C23×C4C2412yes—
745C23×C4C2412yes—
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748C23×C4C2411yescharacteristic
749C23×C4C2411yescharacteristic
750C23×C4C2412yes—
751C23×C4C2412yes—
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2411yescharacteristic
755C23×C4C2411yescharacteristic
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2412yes—
759C23×C4C2412yes—
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C4⋊Q8—28no—
765C4⋊Q8—44no—
766C4⋊Q8—44no—
767C4⋊Q8—44no—
768C4⋊Q8—44no—
769#125—44no—
770#125—44no—
771#125—48no—
772#124—44no—
773#123—28no—
774#123—48no—
775#123—48no—
776C22⋊Q8—28no—
777C22⋊Q8—28no—
778C22⋊Q8—28no—
779C22⋊Q8—28no—
780C22⋊Q8—28no—
781C22⋊Q8—28no—
782C22⋊Q8—28no—
783C22⋊Q8—28no—
784C22⋊Q8—24no—
785C22⋊Q8—24no—
786C22⋊Q8—28no—
787C22⋊Q8—48no—
788C22⋊Q8—48no—
789C22⋊Q8—48no—
790C22⋊Q8—44no—
791C22⋊Q8—44no—
792C22⋊Q8—44no—
793#121—24no—
794#121—24no—
795#120—28no—
796C4×Q8—28no—
797C4×Q8—48no—
798C4×Q8—44no—
799C4×Q8—44no—
800C4×Q8—44no—
801C4×Q8—48no—
802C4×D4—28no—
803C4×D4—28no—
804C4×D4—28no—
805C4×D4—44no—
806#117—24no—
807#117—24no—
808#117—24no—
809#117—44no—
810#117—42no—
811#117—42no—
812#117—44no—
813#117—44no—
814#117—48no—
815#117—42no—
816#117—42no—
817C2×C4⋊C4—24no—
818C2×C4⋊C4—28no—
819C2×C4⋊C4—24no—
820C2×C4⋊C4—28no—
821C2×C4⋊C4—28no—
822C2×C4⋊C4—24no—
823C2×C4⋊C4—42no—
824C2×C4⋊C4—42no—
825C2×C4⋊C4—44no—
826C2×C4⋊C4—42no—
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2412yes—
829C2×C4⋊C4C2411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2412yes—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2411yescharacteristic
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C22⋊C4—28no—
889C2×C22⋊C4—28no—
890C2×C22⋊C4—24no—
891C2×C22⋊C4—44no—
892C2×C22⋊C4—44no—
893C2×C22⋊C4—42no—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2414yes—
933C2×C42—44no—
934C2×C42—42no—
935C2×C42—44no—
936C2×C42—44no—
937C2×C42—42no—
938C2×C42—44no—
939C2×C42C2412yes—
940C2×C42C2412yes—
941C2×C42C2412yes—
942C2×C42C2412yes—
943C2×C42C2414yes—
944C2×C42C2412yes—
945C2×C42C2412yes—
946C2×C42C2412yes—
947C2×C42C2412yes—
948C2×C42C2412yes—
949C2×C42C2412yes—
950C2×C42C2414yes—
951C2×C42C2412yes—
952C2×C42C2412yes—
953C2×C42C2414yes—
954C2×C42C2412yes—
955C2×C42C2414yes—
956C2×C42C2412yes—
957C2×C42C2412yes—
958C2×C42C2412yes—
959C2×C42C2414yes—
960C2×C42C2414yes—
961C2×C42C2412yes—
962C2×C42C2414yes—
963C2×C42C2414yes—
964#95C2412yes—
965#95C2412yes—
966#95C2412yes—
967#95C2412yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2412yes—
981#95C2414yes—
982#95C2414yes—
983#95C2412yes—
984#95C2412yes—
985#95C2412yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2412yes—
991#95C2412yes—
992#95C2412yes—
993#95C2412yes—
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2412yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036C24—22no—
1037C24—22no—
1038C24—41no—
1039C24—41no—
1040C24—41no—
1041C24—41no—
1042C24C2×#4114yes—
1043C24C2512yes—
1044C24C2511yescharacteristic
1045C24C2511yescharacteristic
1046C24C2511yescharacteristic
1047#41—88no—
1048C2×Q8—24no—
1049C2×Q8—24no—
1050C2×Q8—24no—
1051C2×Q8—24no—
1052C2×Q8—22no—
1053C2×Q8—24no—
1054C2×Q8—24no—
1055C2×Q8—28no—
1056C2×Q8—24no—
1057C2×Q8—24no—
1058C2×Q8—42no—
1059C2×Q8—42no—
1060C2×Q8—44no—
1061C2×Q8—42no—
1062C2×Q8—41no—
1063C2×Q8—42no—
1064C2×Q8—44no—
1065C2×Q8—41no—
1066C2×Q8—416no—
1067C2×Q8—88no—
1068C2×D4—24no—
1069C2×D4—24no—
1070C2×D4—24no—
1071C2×D4—24no—
1072C2×D4—24no—
1073C2×D4—22no—
1074C2×D4—42no—
1075C2×D4—41no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—41no—
1079C2×D4—42no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—24no—
1087C22×C4—24no—
1088C22×C4—24no—
1089C22×C4—22no—
1090C22×C4—24no—
1091C22×C4—24no—
1092C22×C4—24no—
1093C22×C4—24no—
1094C22×C4—22no—
1095C22×C4—24no—
1096C22×C4—22no—
1097C22×C4—24no—
1098C22×C4—24no—
1099C22×C4—24no—
1100C22×C4—24no—
1101C22×C4—24no—
1102C22×C4—416no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—42no—
1106C22×C4—42no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—41no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—41no—
1120C22×C4—42no—
1121C22×C4—41no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—41no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—41no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4C2×#4114yes—
1138C22×C4C2×#4114yes—
1139C22×C4C2×#4114yes—
1140C22×C4C2×#4114yes—
1141C22×C4C2×#4114yes—
1142C22×C4C2×#4114yes—
1143C22×C42−1+414yes—
1144C22×C4C2512yes—
1145C22×C4C2512yes—
1146C22×C4C2512yes—
1147C22×C4C2512yes—
1148C22×C4C2514yes—
1149C22×C4C2514yes—
1150C22×C4C2512yes—
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2514yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2512yes—
1158C22×C4C2514yes—
1159C22×C4C2514yes—
1160C22×C4C2514yes—
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C22×C4C2511yescharacteristic
1164C22×C4C2511yescharacteristic
1165C22×C4C2511yescharacteristic
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2511yescharacteristic
1169C4⋊C4—24no—
1170C4⋊C4—24no—
1171C4⋊C4—24no—
1172C4⋊C4—24no—
1173C4⋊C4—28no—
1174C4⋊C4—28no—
1175C4⋊C4—28no—
1176C4⋊C4—28no—
1177C4⋊C4—22no—
1178C4⋊C4—22no—
1179C4⋊C4—24no—
1180C4⋊C4—24no—
1181C4⋊C4—24no—
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—22no—
1185C4⋊C4—28no—
1186C4⋊C4—24no—
1187C4⋊C4—28no—
1188C4⋊C4—28no—
1189C4⋊C4—28no—
1190C4⋊C4—28no—
1191C4⋊C4—24no—
1192C4⋊C4—24no—
1193C4⋊C4—42no—
1194C4⋊C4—42no—
1195C4⋊C4—44no—
1196C4⋊C4—42no—
1197C4⋊C4—44no—
1198C4⋊C4—42no—
1199C4⋊C4—44no—
1200C4⋊C4—42no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—42no—
1209C4⋊C4—42no—
1210C4⋊C4—41no—
1211C4⋊C4—44no—
1212C4⋊C4—41no—
1213C4⋊C4—42no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
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⋊C4H(5,𝔽2)14yes—
1230C22⋊C4—28no—
1231C22⋊C4—28no—
1232C22⋊C4—28no—
1233C22⋊C4—28no—
1234C22⋊C4—24no—
1235C22⋊C4—24no—
1236C22⋊C4—24no—
1237C22⋊C4—24no—
1238C22⋊C4—28no—
1239C22⋊C4—24no—
1240C22⋊C4—24no—
1241C22⋊C4—24no—
1242C22⋊C4—24no—
1243C22⋊C4—24no—
1244C22⋊C4—28no—
1245C22⋊C4—24no—
1246C22⋊C4—24no—
1247C22⋊C4—24no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—44no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—44no—
1264C22⋊C4—42no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C42—24no—
1270C42—24no—
1271C42—24no—
1272C42—24no—
1273C42—28no—
1274C42—24no—
1275C42—24no—
1276C42—24no—
1277C42—24no—
1278C42—44no—
1279C42—42no—
1280C42—44no—
1281C42—42no—
1282C42—42no—
1283C42—42no—
1284C42—44no—
1285C42—42no—
1286C42—42no—
1287C42—42no—
1288C42—44no—
1289C42—44no—
1290C42—42no—
1291C42—44no—
1292C42—42no—
1293C42—44no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—28no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—44no—
1319C23—44no—
1320C23—82no—
1321C23—82no—
1322C23—82no—
1323C23—82no—
1324C23C22×#4112yes—
1325C23C22×#4112yes—
1326C23C22×#4112yes—
1327C23C2×2−1+412yes—
1328C23#58512yes—
1329C23C2611yescharacteristic
1330Q8—48no—
1331Q8—48no—
1332Q8—48no—
1333Q8—88no—
1334Q8—84no—
1335Q8—82no—
1336D4—48no—
1337D4—82no—
1338D4—84no—
1339D4—84no—
1340C2×C4—22no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—22no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—28no—
1351C2×C4—28no—
1352C2×C4—28no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—24no—
1356C2×C4—24no—
1357C2×C4—22no—
1358C2×C4—24no—
1359C2×C4—24no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—24no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—24no—
1369C2×C4—24no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—24no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—24no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—24no—
1387C2×C4—22no—
1388C2×C4—24no—
1389C2×C4—24no—
1390C2×C4—24no—
1391C2×C4—22no—
1392C2×C4—24no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—24no—
1398C2×C4—24no—
1399C2×C4—24no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—24no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—48no—
1415C2×C4—48no—
1416C2×C4—44no—
1417C2×C4—48no—
1418C2×C4—48no—
1419C2×C4—48no—
1420C2×C4—84no—
1421C2×C4—84no—
1422C2×C4—82no—
1423C2×C4—82no—
1424C2×C4—84no—
1425C2×C4—84no—
1426C2×C4—162no—
1427C2×C4—162no—
1428C2×C4C22×#4112yes—
1429C2×C4C22×#4112yes—
1430C2×C4C22×#4112yes—
1431C2×C4C22×#4112yes—
1432C2×C4C2×H(5,𝔽2)14yes—
1433C2×C4C2×H(5,𝔽2)12yes—
1434C2×C4C2×2−1+414yes—
1435C2×C4#58512yes—
1436C22—22no—
1437C22—22no—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—42no—
1463C22—88no—
1464C22#346114yes—
1465C22C23×#4111yescharacteristic
1466C22C22×H(5,𝔽2)11yescharacteristic
1467C22C22×2−1+411yescharacteristic
1468C22C2×#58511yescharacteristic
1469C22C2×#58511yescharacteristic
1470C222−1+611yescharacteristic
1471C222−1+611yescharacteristic
1472C4—22no—
1473C4—22no—
1474C4—22no—
1475C4—24no—
1476C4—24no—
1477C4—42no—
1478C4—44no—
1479C4—44no—
1480C4—44no—
1481C4—42no—
1482C4—42no—
1483C4—42no—
1484C4—42no—
1485C4—42no—
1486C4—42no—
1487C4—42no—
1488C4—44no—
1489C4—42no—
1490C4—42no—
1491C4—42no—
1492C4—42no—
1493C4—44no—
1494C4—44no—
1495C4—42no—
1496C4#350514yes—
1497C2—24no—
1498C2—42no—
1499C2—42no—
1500C2—82no—
1501C2C2×#346111yescharacteristic
1502C2C2×#350511yescharacteristic
1503C2#6286011yescharacteristic
1504C2#6289311yescharacteristic
1505C2#6289811yescharacteristic
1506C2#6293211yescharacteristic
1507C2#6293411yescharacteristic
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. #41080C2semidirect
2. #41067C2semidirect
3. #40970C2semidirect
4. #40952C2semidirect
5. #39566C2semidirect
6. #39553C2semidirect
7. #39067C2semidirect
8. #39058C2semidirect
9. #38265C2semidirect
10. #38217C2semidirect
11. #37783C2semidirect
12. #37757C2semidirect
13. #37495C2semidirect
14. #37453C2semidirect
16. #36985C2semidirect
17. #36764C2semidirect
18. #36762C2semidirect
19. #35379C2semidirect
21. #35253C2semidirect
22. #35228C2semidirect
23. #35035C2semidirect
24. #35026C2semidirect
25. #35015C2semidirect
26. #34691C2semidirect
27. #34212C2semidirect
28. C2×#2362C2semidirect
32. C2×#533C22semidirect
38. #2864C22semidirect
39. #2863C22semidirect
43. #2855C22semidirect
46. #2851C22semidirect
48. #2833C22semidirect
49. #2831C22semidirect
52. #2802C22semidirect
54. #2796C22semidirect
55. #2794C22semidirect
56. #2793C22semidirect
57. #2789C22semidirect
60. #2777C22semidirect
61. #2776C22semidirect
62. #2766C22semidirect
63. #2765C22semidirect
64. #2762C22semidirect
65. #2758C22semidirect
67. #2755C22semidirect
76. #2729C22semidirect
78. #2719C22semidirect
79. #2713C22semidirect
81. #2700C22semidirect
84. #2666C22semidirect
86. #2655C22semidirect
87. #2655C22semidirect
88. #2652C22semidirect
89. #2650C22semidirect
90. #2650C22semidirect
92. #2645C22semidirect
94. #2642C22semidirect
104. #2625C22semidirect
108. #2621C22semidirect
114. #2595C22semidirect
115. #2594C22semidirect
116. #2590C22semidirect
117. #2590C22semidirect
118. #2588C22semidirect
119. #2588C22semidirect
120. #2588C22semidirect
121. #2587C22semidirect
122. #2585C22semidirect
129. #2573C22semidirect
131. #2529C22semidirect
132. #2528C22semidirect
134. #2525C22semidirect
135. #2520C22semidirect
137. #2514C22semidirect
138. #2511C22semidirect
139. #2511C22semidirect
141. #2509C22semidirect
142. #2509C22semidirect
143. #2507C22semidirect
148. #2494C22semidirect
149. #2494C22semidirect
152. #2492C22semidirect
153. #2489C22semidirect
158. #2475C22semidirect
159. #2474C22semidirect
162. #2465C22semidirect
163. #2462C22semidirect
165. #2453C22semidirect
166. #2451C22semidirect
167. #2451C22semidirect
169. #2446C22semidirect
170. #2446C22semidirect
171. #2446C22semidirect
180. #2429C22semidirect
181. #2429C22semidirect
182. #2423C22semidirect
184. #2421C22semidirect
196. #2399C22semidirect
197. #2396C22semidirect
214. #2331C22semidirect
221. #2323C22semidirect
225. #2320C22semidirect
231. #2314C22semidirect
235. C4×C4⋊Q8C22semidirect
239. C4×C22⋊Q8C22semidirect
242. #2295C22semidirect

Maximal subgroups

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

subgroupindex
#410802
#410672
#409702
#409522
#395662
#395532
#390672
#390582
#382652
#382172
#377832
#377572
#374952
#374532
#374422
#369852
#367642
#367622
#353792
#353062
#352532
#352282
#350352
#350262
#350152
#346912
#342122
C2×#23622
#340822