Finite Group Databasebeta

← #7715984

Subgroups — #7715984

Order 512.

4608 conjugacy classes of subgroups.

The subgroup lattice has 1458 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#50582C214yesmaximal, complemented
2#50514C214yesmaximal, complemented
3#49460C214yesmaximal, complemented
4#49368C214yesmaximal, complemented
5#45230C212yesmaximal, complemented
6#45215C212yesmaximal, complemented
7#45181C212yesmaximal, complemented
8#45176C212yesmaximal, complemented
9#45153C212yesmaximal, complemented
10#45150C212yesmaximal, complemented
11#45008C212yesmaximal, complemented
12#44910C212yesmaximal, complemented
13#39550C212yesmaximal, complemented
14#39542C212yesmaximal, complemented
15#39495C211yesmaximal, characteristic, complemented
16#39486C211yesmaximal, characteristic
17#38929C212yesmaximal, complemented
18#38065C214yesmaximal, complemented
19#36780C214yesmaximal, complemented
20#36552C211yesmaximal, characteristic, complemented
21#36551C211yesmaximal, characteristic, complemented
22#36237C212yesmaximal, complemented
23#35231C212yesmaximal, complemented
24#35022C212yesmaximal, complemented
25#35015C211yesmaximal, characteristic, complemented
26#34994C212yesmaximal, complemented
27#34584C211yesmaximal, characteristic, complemented
28#34476C212yesmaximal, complemented
29C2×#2357C211yesmaximal, characteristic, complemented
30C2×#546C2212yes—
31C22×C4×D4C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2855C2212yes—
35#2852C2214yes—
36#2851C2212yes—
37#2851C2212yes—
38#2851C2214yes—
39#2849C2214yes—
40#2804C2212yes—
41#2797C2214yescomplemented
42#2787C2214yescomplemented
43#2786C2214yescomplemented
44#2782C2214yescomplemented
45#2780C2214yes—
46#2779C2214yescomplemented
47#2771C2214yescomplemented
48#2771C2214yescomplemented
49#2770C2214yescomplemented
50#2770C2214yescomplemented
51#2769C2214yescomplemented
52#2767C2214yescomplemented
53#2765C2214yescomplemented
54#2765C2214yescomplemented
55#2765C2214yescomplemented
56#2765C2214yescomplemented
57#2764C2214yescomplemented
58#2761C2214yescomplemented
59#2757C2214yescomplemented
60#2751C2214yescomplemented
61#2750C2214yescomplemented
62#2747C2214yescomplemented
63#2746C2214yescomplemented
64#2745C2214yescomplemented
65#2745C2214yescomplemented
66#2744C2214yescomplemented
67#2744C2214yescomplemented
68#2744C2214yescomplemented
69#2743C2214yescomplemented
70#2743C2214yescomplemented
71#2739C2214yescomplemented
72#2738C2214yescomplemented
73#2737C2214yescomplemented
74#2732C2212yes—
75#2724C2212yes—
76#2723C2214yescomplemented
77#2701C2214yes—
78#2695C2214yescomplemented
79#2694C2214yescomplemented
80#2690C2214yescomplemented
81#2682C2212yes—
82#2655C2212yescomplemented
83#2655C2214yescomplemented
84#2654C2212yescomplemented
85#2654C2214yescomplemented
86#2651C2212yescomplemented
87#2650C2212yescomplemented
88#2646C2214yes—
89#2646C2211yescharacteristic
90#2646C2212yes—
91#2643C2212yes—
92#2639C2211yescharacteristic
93#2627C2211yescharacteristic
94#2627C2212yes—
95#2626C2212yes—
96#2623C2212yes—
97#2618C2211yescharacteristic
98#2617C2212yes—
99#2600C2214yescomplemented
100#2599C2214yescomplemented
101#2590C2214yescomplemented
102#2590C2214yescomplemented
103#2589C2214yescomplemented
104#2588C2214yescomplemented
105#2580C2212yes—
106#2577C2214yescomplemented
107#2576C2214yescomplemented
108#2575C2214yescomplemented
109#2573C2214yescomplemented
110#2572C2214yescomplemented
111#2570C2212yescomplemented
112#2568C2211yescharacteristic, complemented
113#2566C2212yes—
114#2565C2212yescomplemented
115#2563C2211yescharacteristic, complemented
116#2554C2214yescomplemented
117#2553C2214yescomplemented
118#2552C2211yescharacteristic, complemented
119#2552C2211yescharacteristic, complemented
120#2524C2214yescomplemented
121#2519C2214yescomplemented
122#2516C2214yescomplemented
123#2515C2214yescomplemented
124#2515C2214yescomplemented
125#2514C2212yescomplemented
126#2514C2212yescomplemented
127#2511C2212yescomplemented
128#2511C2212yescomplemented
129#2510C2214yes—
130#2509C2212yescomplemented
131#2508C2212yescomplemented
132#2508C2212yescomplemented
133#2507C2212yescomplemented
134#2506C2212yescomplemented
135#2505C2214yes—
136#2505C2214yes—
137#2505C2214yescomplemented
138#2505C2214yescomplemented
139#2505C2214yescomplemented
140#2505C2214yescomplemented
141#2503C2212yescomplemented
142#2503C2214yescomplemented
143#2502C2212yes—
144#2497C2212yescomplemented
145#2496C2212yescomplemented
146#2495C2212yescomplemented
147#2493C2214yes—
148#2493C2214yescomplemented
149#2493C2214yescomplemented
150#2489C2212yescomplemented
151#2488C2214yescomplemented
152#2487C2212yes—
153#2486C2214yescomplemented
154#2484C2214yescomplemented
155#2483C2214yes—
156#2475C2214yescomplemented
157#2473C2214yescomplemented
158#2473C2214yescomplemented
159#2473C2214yescomplemented
160#2473C2214yescomplemented
161#2460C2214yescomplemented
162#2458C2214yescomplemented
163#2457C2214yescomplemented
164#2454C2212yes—
165#2454C2212yescomplemented
166#2453C2212yescomplemented
167#2452C2212yes—
168#2451C2212yescomplemented
169#2450C2214yes—
170#2447C2212yes—
171#2447C2212yes—
172#2447C2212yes—
173#2446C2212yescomplemented
174#2443C2214yes—
175#2443C2214yes—
176#2442C2212yes—
177#2442C2212yescomplemented
178#2437C2214yes—
179#2432C2212yes—
180#2422C2212yes—
181#2422C2212yes—
182#2422C2212yes—
183#2421C2212yescomplemented
184#2419C2214yes—
185#2419C2214yes—
186#2419C2214yes—
187#2419C2214yescomplemented
188#2417C2212yes—
189#2413C2214yescomplemented
190#2412C2214yes—
191#2412C2214yes—
192#2407C2212yes—
193#2402C2212yescomplemented
194#2401C2212yescomplemented
195#2396C2212yescomplemented
196#2395C2212yescomplemented
197#2377C2214yes—
198#2376C2214yes—
199#2369C2211yescharacteristic, complemented
200#2367C2212yes—
201#2365C2211yescharacteristic, complemented
202#2361C2212yes—
203#2360C2212yes—
204#2358C2214yes—
205#2357C2214yes—
206#2357C2214yes—
207#2357C2212yes—
208#2357C2212yes—
209#2357C2212yes—
210#2357C2212yes—
211#2355C2212yescomplemented
212#2354C2212yes—
213Q8×C4⋊C4C2211yescharacteristic, complemented
214D4×C4⋊C4C2212yes—
215D4×C4⋊C4C2212yes—
216D4×C4⋊C4C2212yes—
217D4×C4⋊C4C2211yescharacteristic, complemented
218#2345C2212yescomplemented
219#2342C2214yes—
220#2341C2212yes—
221#2339C2212yes—
222#2339C2212yes—
223D4×C22⋊C4C2212yes—
224#2335C2214yes—
225#2330C2212yescomplemented
226#2329C2212yes—
227#2326C2212yes—
228#2324C2214yes—
229#2324C2212yes—
230#2323C2212yescomplemented
231#2321C2214yes—
232#2320C2212yescomplemented
233#2319C2212yes—
234#2318C2214yes—
235#2315C2212yes—
236#2315C2212yes—
237#2315C2214yes—
238#2314C2212yescomplemented
239#2313C2212yes—
240#2311C2212yes—
241C4×C22⋊Q8C2211yescharacteristic
242C4×C22⋊Q8C2212yes—
243C4×C22⋊Q8C2212yes—
244C4×#123C2212yes—
245C4×#121C2211yescharacteristic
246C4×#121C2212yes—
247C2×#390C2211yescharacteristic
248C2×#390C2211yescharacteristic
249#2290C2212yes—
250C2×#388C2212yes—
251C2×#388C2212yes—
252C2×#385C2214yes—
253C2×#382C2211yescharacteristic
254C2×#381C2212yes—
255C2×C4×C4⋊C4C2211yescharacteristic
256C2×C4×C4⋊C4C2211yescharacteristic
257C2×C4×C4⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2212yes—
259C22×#41C2312yes—
260C23×D4C2311yescharacteristic
261C24×C4C2312yes—
262#546—216no—
263C2×C4⋊Q8C2311yescharacteristic
264C2×C4⋊Q8C2311yescharacteristic
265C2×#126C2314yes—
266C2×#125C2312yes—
267C2×#125C2314yes—
268C2×#125C2312yes—
269C2×#125C2312yes—
270C2×#124C2312yes—
271C2×#123C2314yes—
272C2×#123C2312yes—
273C2×#123C2314yes—
274C2×#123C2314yes—
275C2×#123C2314yes—
276C2×C22⋊Q8C2312yes—
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2312yes—
279C2×C22⋊Q8C2312yes—
280C2×C22⋊Q8C2314yes—
281C2×#121C2312yes—
282C2×#121C2314yes—
283C2×#121C2311yescharacteristic
284C2×#120C2314yes—
285C2×C4×Q8C2312yes—
286C2×C4×Q8C2311yescharacteristic
287C2×C4×Q8C2312yes—
288C2×C4×Q8C2312yes—
289C2×C4×D4—28no—
290C2×C4×D4C2312yes—
291C2×C4×D4C2312yes—
292C2×C4×D4C2312yes—
293C2×C4×D4C2312yes—
294C2×C4×D4C2314yes—
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2312yes—
297C2×C4×D4C2314yes—
298C2×C4×D4C2312yes—
299C2×C4×D4C2314yes—
300C2×C4×D4C2312yes—
301C2×#117C2312yes—
302C2×#117C2314yes—
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2312yes—
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2314yes—
310C22×C4⋊C4C2314yes—
311C22×C22⋊C4C2314yes—
312C22×C22⋊C4C2312yes—
313C22×C22⋊C4C2312yes—
314C22×C22⋊C4C2312yes—
315C22×C22⋊C4C2314yes—
316C22×C22⋊C4C2312yes—
317C22×C22⋊C4C2312yes—
318C22×C42C2311yescharacteristic
319C22×C42C2311yescharacteristic
320C22×C42C2311yescharacteristic
321C22×C42C2312yes—
322C22×C42C2312yes—
323#401C2314yes—
324#401C2312yes—
325#401C2314yes—
326#400C2314yes—
327#400C2314yes—
328#400C2314yes—
329#400C2312yes—
330#400C2314yes—
331#400C2312yes—
332#400C2314yes—
333#400C2314yes—
334#400C2314yes—
335#400C2314yes—
336#400C2312yes—
337#400C2312yes—
338#400C2312yes—
339#400C2312yes—
340#400C2312yes—
341#400C2312yes—
342#400C2312yes—
343#400C2314yes—
344#400C2314yes—
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#399C2314yes—
357#399C2314yes—
358#399C2314yes—
359#399C2312yes—
360#399C2312yes—
361#398C2314yes—
362#398C2314yes—
363#398C2314yes—
364#398C2312yes—
365#398C2314yes—
366#398C2314yes—
367#398C2314yes—
368#398C2314yes—
369#398C2314yes—
370#398C2314yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2312yes—
375#398C2312yes—
376#398C2312yes—
377#398C2312yes—
378#398C2312yes—
379#398C2312yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2312yes—
391#397C2312yes—
392#397C2312yes—
393#397C2312yes—
394#397C2312yes—
395#397C2312yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#396C2314yes—
404#396C2314yes—
405#396C2312yes—
406#396C2312yes—
407#396C2314yes—
408#396C2312yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#395C2314yes—
413#395C2312yes—
414#394C2314yes—
415#394C2312yes—
416#394C2314yes—
417#394C2314yes—
418#394C2312yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#393C2314yes—
423#393C2312yes—
424#393C2314yes—
425#393C2314yes—
426#392C2314yes—
427#391C2312yes—
428#391C2312yes—
429#391C2312yes—
430#391C2312yes—
431#391C2312yes—
432#391C2312yes—
433#391C2312yes—
434#391C2314yes—
435#391C2312yes—
436#391C2314yes—
437#391C2312yes—
438#391C2312yes—
439#391C2311yescharacteristic
440#390C2312yes—
441#390C2312yes—
442#390C2312yes—
443#390C2312yes—
444#390C2312yes—
445#390C2314yes—
446#390C2314yes—
447#390C2312yes—
448#390C2314yes—
449#390C2314yes—
450#390C2312yes—
451#390C2312yes—
452#390C2312yes—
453#390C2311yescharacteristic
454#389C2312yes—
455#389C2312yes—
456#389C2312yes—
457#389C2312yes—
458#389C2312yes—
459#389C2312yes—
460#389C2312yes—
461#389C2312yes—
462#389C2314yes—
463#389C2314yes—
464#389C2312yes—
465#389C2314yes—
466#389C2314yes—
467#389C2312yes—
468#389C2314yes—
469#389C2312yes—
470#389C2314yes—
471#389C2312yes—
472#389C2312yes—
473#389C2314yes—
474#389C2312yes—
475#389C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#389C2311yescharacteristic
480#389C2311yescharacteristic
481#389C2312yes—
482#388C2314yes—
483#388C2314yes—
484#388C2314yes—
485#388C2314yes—
486#388C2314yes—
487#388C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2312yes—
498#388C2314yes—
499#388C2314yes—
500#388C2312yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2312yes—
511#388C2312yes—
512#388C2312yes—
513#387C2314yes—
514#387C2314yes—
515#387C2314yes—
516#387C2314yes—
517#387C2314yes—
518#387C2314yes—
519#387C2314yes—
520#387C2314yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2314yes—
528#387C2314yes—
529#387C2314yes—
530#387C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2312yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2312yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2312yes—
551#387C2312yes—
552#387C2312yes—
553#386C2314yes—
554#386C2314yes—
555#386C2314yes—
556#386C2312yes—
557#386C2314yes—
558#386C2314yes—
559#386C2312yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2312yes—
568#386C2312yes—
569#386C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2312yes—
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#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2312yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2312yes—
603#385C2312yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#384C2312yes—
610#384C2311yescharacteristic
611#384C2312yes—
612#384C2312yes—
613#384C2311yescharacteristic
614#383C2314yes—
615#383C2314yes—
616#383C2314yes—
617#383C2314yes—
618#382C2312yes—
619#382C2312yes—
620#382C2312yes—
621#382C2312yes—
622#382C2314yes—
623#382C2314yes—
624#382C2314yes—
625#382C2314yes—
626#382C2312yes—
627#382C2314yes—
628#381C2314yes—
629#381C2314yes—
630#381C2314yes—
631#381C2314yes—
632#381C2314yes—
633#381C2314yes—
634#381C2314yes—
635#381C2314yes—
636#381C2314yes—
637#381C2314yes—
638#381C2314yes—
639#381C2314yes—
640#381C2312yes—
641#381C2314yes—
642#380C2312yes—
643#380C2312yes—
644#380C2314yes—
645#380C2314yes—
646#380C2312yes—
647#380C2312yes—
648#380C2312yes—
649#380C2312yes—
650#380C2311yescharacteristic
651#380C2311yescharacteristic
652#380C2314yes—
653#380C2314yes—
654#380C2314yes—
655#380C2314yes—
656#380C2314yes—
657#380C2314yes—
658#380C2314yes—
659#380C2312yes—
660#380C2312yes—
661#380C2314yes—
662#380C2314yes—
663#380C2314yes—
664#379C2314yes—
665C4×C4⋊C4C2311yescharacteristic
666C4×C4⋊C4C2312yes—
667C4×C4⋊C4C2312yes—
668C4×C4⋊C4C2311yescharacteristic
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2314yes—
674C4×C4⋊C4C2312yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2311yescharacteristic
684C4×C4⋊C4C2311yescharacteristic
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2311yescharacteristic
690C4×C4⋊C4C2311yescharacteristic
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705#376C2312yes—
706C2×#95C2312yes—
707C2×#95C2311yescharacteristic
708C2×#95C2314yes—
709C2×#95C2314yes—
710C2×#95C2311yescharacteristic
711C2×#95C2312yes—
712C2×#95C2312yes—
713C2×#95C2312yes—
714C25C2412yes—
715C2×#41—28no—
716C2×#41—44no—
717C2×#41—44no—
718C22×Q8C2412yes—
719C22×Q8C2411yescharacteristic
720C22×Q8C2412yes—
721C22×D4—42no—
722C22×D4—42no—
723C22×D4#4118yes—
724C22×D4C2412yes—
725C22×D4C2412yes—
726C22×D4C2411yescharacteristic
727C22×D4C2414yes—
728C22×D4C2414yes—
729C22×D4C2412yes—
730C23×C4—28no—
731C23×C4—82no—
732C23×C4—82no—
733C23×C4C2411yescharacteristic
734C23×C4C2412yes—
735C23×C4C2411yescharacteristic
736C23×C4C2412yes—
737C23×C4C2411yescharacteristic
738C23×C4C2411yescharacteristic
739C23×C4C2412yes—
740C23×C4C2411yescharacteristic
741C23×C4C2414yes—
742C23×C4C2412yes—
743C23×C4C2414yes—
744C23×C4C2414yes—
745C23×C4C2414yes—
746C23×C4C2411yescharacteristic
747C23×C4C2414yes—
748C23×C4C2414yes—
749C23×C4C2414yes—
750C23×C4C2411yescharacteristic
751C4⋊Q8—42no—
752C4⋊Q8—42no—
753#126—84no—
754#125—44no—
755#125—82no—
756#125—82no—
757#125—84no—
758#124—28no—
759#123—216no—
760#123—44no—
761#123—84no—
762#123—84no—
763#123—84no—
764C22⋊Q8—28no—
765C22⋊Q8—24no—
766C22⋊Q8—44no—
767C22⋊Q8—44no—
768C22⋊Q8—84no—
769#121—28no—
770#121—216no—
771#121—24no—
772#120—216no—
773C4×Q8—42no—
774C4×Q8—44no—
775C4×Q8—44no—
776C4×Q8—82no—
777C4×D4—28no—
778C4×D4—28no—
779C4×D4—216no—
780C4×D4—28no—
781C4×D4—28no—
782C4×D4—44no—
783C4×D4—44no—
784C4×D4—42no—
785C4×D4—48no—
786C4×D4—82no—
787C4×D4—84no—
788#117—44no—
789#117—84no—
790C2×C4⋊C4—24no—
791C2×C4⋊C4—24no—
792C2×C4⋊C4—44no—
793C2×C4⋊C4—42no—
794C2×C4⋊C4—42no—
795C2×C4⋊C4—42no—
796C2×C4⋊C4—84no—
797C2×C4⋊C4—84no—
798C2×C4⋊C4C2411yescharacteristic
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2412yes—
802C2×C4⋊C4C2412yes—
803C2×C4⋊C4C2411yescharacteristic
804C2×C4⋊C4C2412yes—
805C2×C4⋊C4C2412yes—
806C2×C4⋊C4C2412yes—
807C2×C4⋊C4C2412yes—
808C2×C4⋊C4C2412yes—
809C2×C4⋊C4C2412yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2411yescharacteristic
812C2×C4⋊C4C2412yes—
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2412yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2412yes—
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2412yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2411yescharacteristic
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C22⋊C4—28no—
862C2×C22⋊C4—216no—
863C2×C22⋊C4—28no—
864C2×C22⋊C4—48no—
865C2×C22⋊C4—44no—
866C2×C22⋊C4—82no—
867C2×C22⋊C4—82no—
868C2×C22⋊C4C2412yes—
869C2×C22⋊C4C2412yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2412yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C42—24no—
911C2×C42—42no—
912C2×C42—42no—
913C2×C42—82no—
914C2×C42—82no—
915C2×C42C2412yes—
916C2×C42C2412yes—
917C2×C42C2412yes—
918C2×C42C2412yes—
919C2×C42C2412yes—
920C2×C42C2412yes—
921C2×C42C2411yescharacteristic
922C2×C42C2411yescharacteristic
923C2×C42C2414yes—
924C2×C42C2414yes—
925C2×C42C2412yes—
926C2×C42C2414yes—
927C2×C42C2414yes—
928C2×C42C2412yes—
929C2×C42C2414yes—
930C2×C42C2412yes—
931C2×C42C2412yes—
932C2×C42C2414yes—
933C2×C42C2414yes—
934C2×C42C2412yes—
935C2×C42C2411yescharacteristic
936C2×C42C2411yescharacteristic
937#95C2412yes—
938#95C2412yes—
939#95C2412yes—
940#95C2412yes—
941#95C2414yes—
942#95C2414yes—
943#95C2412yes—
944#95C2412yes—
945#95C2412yes—
946#95C2412yes—
947#95C2414yes—
948#95C2412yes—
949#95C2414yes—
950#95C2412yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2412yes—
960#95C2412yes—
961#95C2412yes—
962#95C2412yes—
963#95C2412yes—
964#95C2412yes—
965#95C2412yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2412yes—
972#95C2414yes—
973#95C2414yes—
974#95C2412yes—
975#95C2412yes—
976#95C2414yes—
977#95C2412yes—
978#95C2412yes—
979#95C2412yes—
980#95C2414yes—
981#95C2412yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2412yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2412yes—
990#95C2414yes—
991#95C2412yes—
992#95C2414yes—
993#95C2412yes—
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2412yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011C24—24no—
1012C24—24no—
1013C24—42no—
1014C24—42no—
1015C24—42no—
1016C24—42no—
1017C24C2×#4118yes—
1018C24C2512yes—
1019C24C2514yes—
1020C24C2511yescharacteristic
1021#41—816no—
1022C2×Q8—24no—
1023C2×Q8—22no—
1024C2×Q8—24no—
1025C2×Q8—24no—
1026C2×Q8—41no—
1027C2×Q8—41no—
1028C2×Q8—42no—
1029C2×Q8—42no—
1030C2×Q8—42no—
1031C2×D4—24no—
1032C2×D4—24no—
1033C2×D4—24no—
1034C2×D4—28no—
1035C2×D4—28no—
1036C2×D4—22no—
1037C2×D4—24no—
1038C2×D4—24no—
1039C2×D4—416no—
1040C2×D4—41no—
1041C2×D4—41no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4C2×#4118yes—
1049C2×D4C2×#4118yes—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—24no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—28no—
1059C22×C4—28no—
1060C22×C4—28no—
1061C22×C4—28no—
1062C22×C4—24no—
1063C22×C4—22no—
1064C22×C4—24no—
1065C22×C4—22no—
1066C22×C4—24no—
1067C22×C4—24no—
1068C22×C4—24no—
1069C22×C4—41no—
1070C22×C4—41no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—42no—
1074C22×C4—42no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—41no—
1079C22×C4—42no—
1080C22×C4—42no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—44no—
1092C22×C4—44no—
1093C22×C4—44no—
1094C22×C4—44no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4—44no—
1102C22×C4—816no—
1103C22×C4C2×#4114yes—
1104C22×C42−1+414yes—
1105C22×C4C2512yes—
1106C22×C4C2512yes—
1107C22×C4C2514yes—
1108C22×C4C2512yes—
1109C22×C4C2512yes—
1110C22×C4C2512yes—
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2514yes—
1114C22×C4C2511yescharacteristic
1115C22×C4C2512yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2514yes—
1119C22×C4C2512yes—
1120C22×C4C2512yes—
1121C22×C4C2514yes—
1122C22×C4C2512yes—
1123C22×C4C2512yes—
1124C22×C4C2511yescharacteristic
1125C22×C4C2514yes—
1126C22×C4C2512yes—
1127C22×C4C2511yescharacteristic
1128C22×C4C2511yescharacteristic
1129C22×C4C2511yescharacteristic
1130C22×C4C2511yescharacteristic
1131C4⋊C4—24no—
1132C4⋊C4—22no—
1133C4⋊C4—22no—
1134C4⋊C4—24no—
1135C4⋊C4—24no—
1136C4⋊C4—28no—
1137C4⋊C4—24no—
1138C4⋊C4—24no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—24no—
1142C4⋊C4—22no—
1143C4⋊C4—24no—
1144C4⋊C4—22no—
1145C4⋊C4—24no—
1146C4⋊C4—24no—
1147C4⋊C4—42no—
1148C4⋊C4—42no—
1149C4⋊C4—42no—
1150C4⋊C4—42no—
1151C4⋊C4—44no—
1152C4⋊C4—42no—
1153C4⋊C4—42no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—42no—
1161C4⋊C4—42no—
1162C4⋊C4—42no—
1163C4⋊C4—44no—
1164C4⋊C4—41no—
1165C4⋊C4—44no—
1166C4⋊C4—42no—
1167C4⋊C4—44no—
1168C4⋊C4—41no—
1169C4⋊C4—44no—
1170C4⋊C4—42no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C4⋊C4—42no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—42no—
1190C4⋊C4—44no—
1191C4⋊C4—42no—
1192C4⋊C4—42no—
1193C4⋊C4—42no—
1194C22⋊C4—24no—
1195C22⋊C4—28no—
1196C22⋊C4—28no—
1197C22⋊C4—28no—
1198C22⋊C4—28no—
1199C22⋊C4—28no—
1200C22⋊C4—28no—
1201C22⋊C4—28no—
1202C22⋊C4—24no—
1203C22⋊C4—24no—
1204C22⋊C4—28no—
1205C22⋊C4—24no—
1206C22⋊C4—28no—
1207C22⋊C4—28no—
1208C22⋊C4—24no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—42no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—42no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—42no—
1236C42—24no—
1237C42—24no—
1238C42—24no—
1239C42—24no—
1240C42—22no—
1241C42—22no—
1242C42—24no—
1243C42—24no—
1244C42—41no—
1245C42—41no—
1246C42—42no—
1247C42—42no—
1248C42—42no—
1249C42—42no—
1250C42—42no—
1251C42—44no—
1252C42—44no—
1253C42—44no—
1254C42—44no—
1255C42—44no—
1256C42—44no—
1257C42—44no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—24no—
1263C23—24no—
1264C23—24no—
1265C23—24no—
1266C23—24no—
1267C23—24no—
1268C23—216no—
1269C23—22no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—48no—
1277C23—48no—
1278C23—84no—
1279C23—84no—
1280C23—84no—
1281C23—84no—
1282C23C22×#4118yes—
1283C23C22×#4112yes—
1284C23C2×2−1+412yes—
1285C23#58512yes—
1286C23C2611yescharacteristic
1287Q8—44no—
1288Q8—48no—
1289Q8—162no—
1290D4—216no—
1291D4—48no—
1292D4—44no—
1293D4—48no—
1294D4—88no—
1295D4—88no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—28no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—24no—
1308C2×C4—22no—
1309C2×C4—24no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—24no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—21no—
1321C2×C4—22no—
1322C2×C4—21no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—24no—
1330C2×C4—24no—
1331C2×C4—24no—
1332C2×C4—24no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—24no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—24no—
1340C2×C4—24no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—21no—
1344C2×C4—22no—
1345C2×C4—21no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—24no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—24no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—24no—
1358C2×C4—21no—
1359C2×C4—22no—
1360C2×C4—21no—
1361C2×C4—24no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—24no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—48no—
1372C2×C4—44no—
1373C2×C4—44no—
1374C2×C4—48no—
1375C2×C4—88no—
1376C2×C4—82no—
1377C2×C4—82no—
1378C2×C4—84no—
1379C2×C4—84no—
1380C2×C4—88no—
1381C2×C4—88no—
1382C2×C4—88no—
1383C2×C4—88no—
1384C2×C4—88no—
1385C2×C4—164no—
1386C2×C4C22×#4112yes—
1387C2×C4C22×#4112yes—
1388C2×C4C2×2−1+412yes—
1389C2×C4C2×2−1+412yes—
1390C2×C4#58512yes—
1391C2×C4#58512yes—
1392C22—22no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—22no—
1398C22—28no—
1399C22—28no—
1400C22—28no—
1401C22—44no—
1402C22—44no—
1403C22—44no—
1404C22—44no—
1405C22—42no—
1406C22—42no—
1407C22—42no—
1408C22—42no—
1409C22—42no—
1410C22—42no—
1411C22—42no—
1412C22—816no—
1413C22#351514yes—
1414C22C23×#4111yescharacteristic
1415C22C22×2−1+411yescharacteristic
1416C22C2×#58511yescharacteristic
1417C22C2×#58511yescharacteristic
1418C22C2×#58511yescharacteristic
1419C22H(7,𝔽2)11yescharacteristic
1420C22H(7,𝔽2)11yescharacteristic
1421C4—22no—
1422C4—22no—
1423C4—22no—
1424C4—42no—
1425C4—44no—
1426C4—42no—
1427C4—42no—
1428C4—42no—
1429C4—42no—
1430C4—42no—
1431C4—42no—
1432C4—44no—
1433C4—42no—
1434C4—42no—
1435C4—42no—
1436C4—41no—
1437C4—42no—
1438C4—44no—
1439C4—41no—
1440C4—42no—
1441C4—44no—
1442C4—42no—
1443C4—42no—
1444C4—44no—
1445C4—42no—
1446C4#349114yes—
1447C2—24no—
1448C2—48no—
1449C2—82no—
1450C2C2×#349111yescharacteristic
1451C2C2×#351511yescharacteristic
1452C2#6284611yescharacteristic
1453C2#6290211yescharacteristic
1454C2#6293511yescharacteristic
1455C2#6296211yescharacteristic
1456C2#6296511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39486C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #50582C2semidirect
2. #50514C2semidirect
3. #49460C2semidirect
4. #49368C2semidirect
5. #45230C2semidirect
6. #45215C2semidirect
7. #45181C2semidirect
8. #45176C2semidirect
9. #45153C2semidirect
10. #45150C2semidirect
11. #45008C2semidirect
12. #44910C2semidirect
13. #39550C2semidirect
14. #39542C2semidirect
15. #39495C2semidirect
17. #38929C2semidirect
18. #38065C2semidirect
19. #36780C2semidirect
20. #36552C2semidirect
21. #36551C2semidirect
22. #36237C2semidirect
23. #35231C2semidirect
24. #35022C2semidirect
25. #35015C2semidirect
26. #34994C2semidirect
27. #34584C2semidirect
28. #34476C2semidirect
29. C2×#2357C2semidirect
41. #2797C22semidirect
42. #2787C22semidirect
43. #2786C22semidirect
44. #2782C22semidirect
46. #2779C22semidirect
47. #2771C22semidirect
48. #2771C22semidirect
49. #2770C22semidirect
50. #2770C22semidirect
51. #2769C22semidirect
52. #2767C22semidirect
53. #2765C22semidirect
54. #2765C22semidirect
55. #2765C22semidirect
56. #2765C22semidirect
57. #2764C22semidirect
58. #2761C22semidirect
59. #2757C22semidirect
60. #2751C22semidirect
61. #2750C22semidirect
62. #2747C22semidirect
63. #2746C22semidirect
64. #2745C22semidirect
65. #2745C22semidirect
66. #2744C22semidirect
67. #2744C22semidirect
68. #2744C22semidirect
69. #2743C22semidirect
70. #2743C22semidirect
71. #2739C22semidirect
72. #2738C22semidirect
73. #2737C22semidirect
76. #2723C22semidirect
78. #2695C22semidirect
79. #2694C22semidirect
80. #2690C22semidirect
82. #2655C22semidirect
83. #2655C22semidirect
84. #2654C22semidirect
85. #2654C22semidirect
86. #2651C22semidirect
87. #2650C22semidirect
99. #2600C22semidirect
100. #2599C22semidirect
101. #2590C22semidirect
102. #2590C22semidirect
103. #2589C22semidirect
104. #2588C22semidirect
106. #2577C22semidirect
107. #2576C22semidirect
108. #2575C22semidirect
109. #2573C22semidirect
110. #2572C22semidirect
111. #2570C22semidirect
112. #2568C22semidirect
114. #2565C22semidirect
115. #2563C22semidirect
116. #2554C22semidirect
117. #2553C22semidirect
118. #2552C22semidirect
119. #2552C22semidirect
120. #2524C22semidirect
121. #2519C22semidirect
122. #2516C22semidirect
123. #2515C22semidirect
124. #2515C22semidirect
125. #2514C22semidirect
126. #2514C22semidirect
127. #2511C22semidirect
128. #2511C22semidirect
130. #2509C22semidirect
131. #2508C22semidirect
132. #2508C22semidirect
133. #2507C22semidirect
134. #2506C22semidirect
137. #2505C22semidirect
138. #2505C22semidirect
139. #2505C22semidirect
140. #2505C22semidirect
141. #2503C22semidirect
142. #2503C22semidirect
144. #2497C22semidirect
145. #2496C22semidirect
146. #2495C22semidirect
148. #2493C22semidirect
149. #2493C22semidirect
150. #2489C22semidirect
151. #2488C22semidirect
153. #2486C22semidirect
154. #2484C22semidirect
156. #2475C22semidirect
157. #2473C22semidirect
158. #2473C22semidirect
159. #2473C22semidirect
160. #2473C22semidirect
161. #2460C22semidirect
162. #2458C22semidirect
163. #2457C22semidirect
165. #2454C22semidirect
166. #2453C22semidirect
168. #2451C22semidirect
173. #2446C22semidirect
177. #2442C22semidirect
183. #2421C22semidirect
187. #2419C22semidirect
189. #2413C22semidirect
193. #2402C22semidirect
194. #2401C22semidirect
195. #2396C22semidirect
196. #2395C22semidirect
199. #2369C22semidirect
201. #2365C22semidirect
211. #2355C22semidirect
213. Q8×C4⋊C4C22semidirect
217. D4×C4⋊C4C22semidirect
218. #2345C22semidirect
225. #2330C22semidirect
230. #2323C22semidirect
232. #2320C22semidirect
238. #2314C22semidirect

Maximal subgroups

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

subgroupindex
#505822
#505142
#494602
#493682
#452302
#452152
#451812
#451762
#451532
#451502
#450082
#449102
#395502
#395422
#394952
#394862
#389292
#380652
#367802
#365522
#365512
#362372
#352312
#350222
#350152
#349942
#345842
#344762
C2×#23572