Finite Group Databasebeta

← #8726376

Subgroups — #8726376

Order 512.

4487 conjugacy classes of subgroups.

The subgroup lattice has 1447 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59951C211yesmaximal, characteristic, complemented
2#59946C212yesmaximal, complemented
3#59206C212yesmaximal, complemented
4#59025C212yesmaximal, complemented
5#59016C212yesmaximal, complemented
6#58636C212yesmaximal, complemented
7#56417C214yesmaximal, complemented
8#54461C214yesmaximal, complemented
9#54217C214yesmaximal, complemented
10#53145C212yesmaximal, complemented
11#52987C211yesmaximal, characteristic, complemented
12#52301C211yesmaximal, characteristic
13#46970C214yesmaximal, complemented
14#46966C212yesmaximal, complemented
15#45384C211yesmaximal, characteristic, complemented
16#45282C212yesmaximal, complemented
17#43791C212yesmaximal
18#43564C214yesmaximal, complemented
19#42814C211yesmaximal, characteristic, complemented
20#42513C212yesmaximal, complemented
21#42419C212yesmaximal, complemented
22#42360C214yesmaximal, complemented
23#39935C212yesmaximal, complemented
24#39744C211yesmaximal, characteristic, complemented
25#39633C212yesmaximal, complemented
26#39595C212yesmaximal, complemented
27#39154C212yesmaximal, complemented
28#35945C212yesmaximal, complemented
29#35910C211yesmaximal, characteristic, complemented
30C2×#557C2211yescharacteristic, complemented
31C2×#556C2211yescharacteristic
32C2×#554C2211yescharacteristic
33C2×D4×Q8C2211yescharacteristic
34C22×C22⋊Q8C2212yescomplemented
35#2868C2211yescharacteristic, complemented
36#2848C2212yescomplemented
37#2839C2214yescomplemented
38#2838C2214yescomplemented
39#2836C2214yescomplemented
40#2834C2214yescomplemented
41#2833C2212yescomplemented
42#2833C2212yescomplemented
43#2831C2214yescomplemented
44#2827C2214yes—
45#2822C2212yescomplemented
46#2809C2212yescomplemented
47#2804C2211yescharacteristic
48#2804C2212yes—
49#2802C2214yescomplemented
50#2790C2214yescomplemented
51#2790C2214yescomplemented
52#2789C2214yescomplemented
53#2788C2214yescomplemented
54#2788C2214yescomplemented
55#2787C2214yescomplemented
56#2786C2214yes—
57#2782C2211yescharacteristic
58#2782C2211yescharacteristic
59#2782C2212yes—
60#2782C2212yes—
61#2779C2214yes—
62#2774C2214yescomplemented
63#2769C2212yescomplemented
64#2769C2212yescomplemented
65#2766C2214yescomplemented
66#2765C2214yescomplemented
67#2762C2214yescomplemented
68#2759C2214yescomplemented
69#2757C2214yes—
70#2754C2214yescomplemented
71#2747C2214yescomplemented
72#2746C2214yes—
73#2744C2214yescomplemented
74#2743C2214yes—
75#2741C2214yes—
76#2739C2214yescomplemented
77#2735C2214yescomplemented
78#2732C2214yes—
79#2732C2214yes—
80#2731C2212yes—
81#2729C2214yescomplemented
82#2729C2214yescomplemented
83#2729C2214yescomplemented
84#2729C2214yescomplemented
85#2728C2212yes—
86#2728C2212yes—
87#2723C2214yes—
88#2721C2214yescomplemented
89#2721C2214yescomplemented
90#2717C2214yes—
91#2715C2214yes—
92#2704C2214yescomplemented
93#2700C2214yes—
94#2697C2214yes—
95#2692C2214yes—
96#2690C2214yescomplemented
97#2689C2214yescomplemented
98#2684C2212yes—
99#2684C2212yes—
100#2684C2212yes—
101#2679C2211yescharacteristic
102#2677C2214yescomplemented
103#2677C2214yescomplemented
104#2660C2211yescharacteristic, complemented
105#2658C2212yes—
106#2654C2214yescomplemented
107#2652C2214yescomplemented
108#2652C2214yescomplemented
109#2647C2212yescomplemented
110#2647C2214yescomplemented
111#2643C2214yes—
112#2642C2211yescharacteristic, complemented
113#2642C2212yescomplemented
114#2637C2214yescomplemented
115#2634C2212yescomplemented
116#2633C2212yes—
117#2626C2214yescomplemented
118#2609C2212yes—
119#2593C2212yes—
120#2590C2214yescomplemented
121#2588C2214yescomplemented
122#2587C2214yescomplemented
123#2586C2214yescomplemented
124#2583C2214yescomplemented
125#2582C2212yescomplemented
126#2581C2212yescomplemented
127#2581C2212yescomplemented
128#2579C2214yes—
129#2578C2214yes—
130#2577C2214yescomplemented
131#2576C2214yes—
132#2574C2214yescomplemented
133#2573C2214yescomplemented
134#2572C2212yes—
135#2568C2212yescomplemented
136#2568C2211yescharacteristic, complemented
137#2562C2211yescharacteristic
138#2562C2211yescharacteristic
139#2562C2212yes—
140#2560C2214yes—
141#2549C2214yescomplemented
142#2547C2211yescharacteristic
143#2546C2212yescomplemented
144#2546C2211yescharacteristic, complemented
145#2546C2211yescharacteristic, complemented
146#2545C2212yes—
147#2538C2212yes—
148#2538C2212yes—
149#2538C2212yes—
150#2536C2212yes—
151#2534C2214yes—
152#2533C2214yescomplemented
153#2532C2214yescomplemented
154#2530C2214yescomplemented
155#2530C2214yescomplemented
156#2529C2214yescomplemented
157#2527C2214yescomplemented
158#2527C2214yescomplemented
159#2526C2214yes—
160#2522C2214yescomplemented
161#2518C2214yes—
162#2502C2212yescomplemented
163#2502C2212yescomplemented
164#2499C2212yescomplemented
165#2497C2212yescomplemented
166#2497C2212yescomplemented
167#2496C2212yescomplemented
168#2494C2212yescomplemented
169#2494C2212yescomplemented
170#2494C2212yescomplemented
171#2493C2214yescomplemented
172#2492C2212yescomplemented
173#2492C2214yescomplemented
174#2492C2212yescomplemented
175#2492C2212yescomplemented
176#2489C2212yescomplemented
177#2489C2214yescomplemented
178#2487C2212yes—
179#2486C2212yes—
180#2485C2212yes—
181#2482C2214yescomplemented
182#2481C2214yes—
183#2480C2214yescomplemented
184#2480C2214yescomplemented
185#2479C2214yes—
186#2473C2214yescomplemented
187#2472C2214yes—
188#2472C2214yes—
189#2469C2214yescomplemented
190#2465C2214yescomplemented
191#2465C2214yescomplemented
192#2452C2214yes—
193#2451C2214yescomplemented
194#2450C2214yes—
195#2442C2212yescomplemented
196#2441C2212yescomplemented
197#2441C2212yescomplemented
198#2440C2212yescomplemented
199#2440C2212yescomplemented
200#2440C2212yescomplemented
201#2439C2214yescomplemented
202#2437C2214yescomplemented
203#2429C2212yescomplemented
204#2429C2212yescomplemented
205#2423C2212yescomplemented
206#2423C2212yescomplemented
207#2423C2212yescomplemented
208#2421C2212yescomplemented
209#2421C2212yescomplemented
210#2421C2212yescomplemented
211#2417C2214yes—
212#2417C2212yes—
213#2417C2212yes—
214#2415C2212yes—
215#2415C2212yes—
216#2409C2212yes—
217#2409C2212yes—
218#2398C2212yes—
219#2398C2212yes—
220#2398C2211yescharacteristic
221#2398C2211yescharacteristic
222#2398C2212yes—
223#2396C2214yescomplemented
224#2374C2214yes—
225#2369C2212yescomplemented
226#2362C2212yescomplemented
227#2362C2212yescomplemented
228#2360C2212yescomplemented
229#2360C2212yescomplemented
230#2360C2214yescomplemented
231#2359C2214yes—
232#2358C2214yes—
233#2352C2212yes—
234#2352C2212yes—
235Q8×C4⋊C4C2212yescomplemented
236D4×C4⋊C4C2212yes—
237#2347C2212yescomplemented
238#2344C2212yescomplemented
239Q8×C22⋊C4C2212yescomplemented
240Q8×C22⋊C4C2212yescomplemented
241Q8×C22⋊C4C2212yescomplemented
242#2335C2214yes—
243#2329C2214yescomplemented
244#2327C2212yescomplemented
245#2326C2214yes—
246#2321C2214yes—
247#2320C2212yescomplemented
248#2320C2211yescharacteristic, complemented
249C4×#124C2212yes—
250C4×#124C2211yescharacteristic
251C4×#120C2212yes—
252C4×#120C2212yes—
253C4×#120C2212yes—
254#2295C2211yescharacteristic, complemented
255#2295C2212yescomplemented
256#2280C2212yescomplemented
257C2×#380C2212yescomplemented
258#2276C2211yescharacteristic, complemented
259C23×Q8C2312yes—
260C24×C4C2312yes—
261#557—44no—
262#556—44no—
263#554—44no—
264D4×Q8—44no—
265C2×C4⋊Q8C2311yescharacteristic
266C2×C4⋊Q8C2312yes—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2311yescharacteristic
269C2×C4⋊Q8C2311yescharacteristic
270C2×C4⋊Q8C2312yes—
271C2×C4⋊Q8C2312yes—
272C2×C4⋊Q8C2311yescharacteristic
273C2×C4⋊Q8C2312yes—
274C2×C4⋊Q8C2312yes—
275C2×#126C2314yes—
276C2×#126C2314yes—
277C2×#125C2312yes—
278C2×#125C2311yescharacteristic
279C2×#125C2311yescharacteristic
280C2×#125C2312yes—
281C2×#125C2312yes—
282C2×#124C2312yes—
283C2×#124C2311yescharacteristic
284C2×#124C2312yes—
285C2×#124C2312yes—
286C2×#123C2314yes—
287C2×C22⋊Q8—48no—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2314yes—
291C2×C22⋊Q8C2314yes—
292C2×C22⋊Q8C2314yes—
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×#120C2312yes—
303C2×#120C2312yes—
304C2×#120C2312yes—
305C2×C4×Q8C2311yescharacteristic
306C2×C4×Q8C2311yescharacteristic
307C2×C4×Q8C2311yescharacteristic
308C2×C4×Q8C2312yes—
309C2×C4×Q8C2311yescharacteristic
310C2×C4×Q8C2312yes—
311C2×C4×Q8C2312yes—
312C2×C4×Q8C2312yes—
313C2×C4×Q8C2312yes—
314C2×C4×Q8C2312yes—
315C2×C4×Q8C2314yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2312yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2314yes—
325C2×#117C2312yes—
326C2×#117C2312yes—
327C2×#117C2314yes—
328C22×C4⋊C4C2314yes—
329C22×C4⋊C4C2312yes—
330C22×C4⋊C4C2312yes—
331C22×C4⋊C4C2312yes—
332C22×C22⋊C4C2314yes—
333C22×C22⋊C4C2314yes—
334#401C2314yes—
335#401C2314yes—
336#401C2314yes—
337#400C2312yes—
338#400C2312yes—
339#400C2312yes—
340#400C2312yes—
341#400C2311yescharacteristic
342#400C2314yes—
343#400C2312yes—
344#400C2311yescharacteristic
345#400C2314yes—
346#400C2314yes—
347#400C2314yes—
348#400C2314yes—
349#400C2314yes—
350#400C2314yes—
351#400C2311yescharacteristic
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2312yes—
357#400C2312yes—
358#400C2312yes—
359#400C2312yes—
360#400C2311yescharacteristic
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2312yes—
368#399C2314yes—
369#399C2314yes—
370#399C2314yes—
371#399C2314yes—
372#399C2314yes—
373#399C2314yes—
374#398C2314yes—
375#398C2312yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2312yes—
380#398C2314yes—
381#398C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2312yes—
387#398C2312yes—
388#398C2312yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2312yes—
398#398C2314yes—
399#398C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2312yes—
405#397C2314yes—
406#397C2312yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2312yes—
411#397C2314yes—
412#397C2312yes—
413#397C2314yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2312yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#394C2314yes—
444#394C2312yes—
445#394C2311yescharacteristic
446#394C2312yes—
447#394C2312yes—
448#394C2311yescharacteristic
449#394C2314yes—
450#394C2311yescharacteristic
451#394C2311yescharacteristic
452#394C2312yes—
453#394C2312yes—
454#394C2312yes—
455#394C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2312yes—
459#393C2312yes—
460#393C2314yes—
461#393C2314yes—
462#393C2312yes—
463#393C2312yes—
464#393C2312yes—
465#393C2312yes—
466#393C2314yes—
467#391C2314yes—
468#391C2312yes—
469#391C2314yes—
470#391C2314yes—
471#391C2312yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2311yescharacteristic
490#391C2314yes—
491#390C2314yes—
492#390C2314yes—
493#390C2314yes—
494#390C2311yescharacteristic
495#390C2312yes—
496#389C2314yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2314yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#389C2312yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
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#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
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#386C2312yes—
594#386C2314yes—
595#386C2314yes—
596#386C2312yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2312yes—
601#386C2312yes—
602#386C2314yes—
603#386C2314yes—
604#386C2312yes—
605#386C2312yes—
606#386C2312yes—
607#386C2312yes—
608#386C2312yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2312yes—
624#385C2312yes—
625#385C2312yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2312yes—
631#385C2312yes—
632#385C2312yes—
633#385C2312yes—
634#385C2312yes—
635#385C2312yes—
636#384C2314yes—
637#384C2312yes—
638#384C2312yes—
639#384C2312yes—
640#384C2312yes—
641#383C2314yes—
642#383C2314yes—
643#383C2312yes—
644#382C2312yes—
645#382C2314yes—
646#382C2312yes—
647#382C2314yes—
648#382C2312yes—
649#382C2312yes—
650#382C2311yescharacteristic
651#382C2312yes—
652#381C2314yes—
653#381C2314yes—
654#381C2314yes—
655#380C2314yes—
656#380C2312yes—
657#380C2312yes—
658#380C2312yes—
659#380C2314yes—
660#380C2312yes—
661#380C2314yes—
662#380C2314yes—
663#380C2314yes—
664#380C2314yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2314yes—
673#380C2314yes—
674#379C2314yes—
675#379C2312yes—
676#379C2312yes—
677#379C2312yes—
678#379C2314yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2311yescharacteristic
682C4×C4⋊C4C2311yescharacteristic
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2314yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710#376C2311yescharacteristic
711#376C2314yes—
712#376C2312yes—
713#376C2311yescharacteristic
714#376C2312yes—
715C2×#95C2314yes—
716C43C2311yescharacteristic
717C25C2412yes—
718C22×Q8—28no—
719C22×Q8—44no—
720C22×Q8—44no—
721C22×Q8C2412yes—
722C22×Q8C2411yescharacteristic
723C22×Q8C2412yes—
724C22×Q8C2412yes—
725C22×Q8C2412yes—
726C22×Q8C2411yescharacteristic
727C22×Q8C2414yes—
728C22×Q8C2412yes—
729C22×D4C2411yescharacteristic
730C22×D4C2411yescharacteristic
731C22×D4C2411yescharacteristic
732C22×D4C2412yes—
733C22×D4C2412yes—
734C22×D4C2412yes—
735C23×C4—44no—
736C23×C4—44no—
737C23×C4—44no—
738C23×C4C2412yes—
739C23×C4C2412yes—
740C23×C4C2412yes—
741C23×C4C2414yes—
742C23×C4C2414yes—
743C23×C4C2414yes—
744C23×C4C2414yes—
745C23×C4C2412yes—
746C23×C4C2412yes—
747C23×C4C2412yes—
748C4⋊Q8—42no—
749C4⋊Q8—42no—
750C4⋊Q8—42no—
751C4⋊Q8—44no—
752C4⋊Q8—44no—
753C4⋊Q8—42no—
754C4⋊Q8—44no—
755C4⋊Q8—44no—
756C4⋊Q8—82no—
757C4⋊Q8—82no—
758#126—48no—
759#126—84no—
760#125—44no—
761#125—44no—
762#125—42no—
763#125—42no—
764#125—44no—
765#124—28no—
766#124—44no—
767#124—42no—
768#124—82no—
769#123—216no—
770C22⋊Q8—28no—
771C22⋊Q8—28no—
772C22⋊Q8—48no—
773C22⋊Q8—48no—
774C22⋊Q8—48no—
775C22⋊Q8—48no—
776C22⋊Q8—48no—
777C22⋊Q8—44no—
778C22⋊Q8—44no—
779C22⋊Q8—44no—
780C22⋊Q8—44no—
781C22⋊Q8—44no—
782C22⋊Q8—48no—
783C22⋊Q8—84no—
784#120—28no—
785#120—28no—
786#120—44no—
787C4×Q8—24no—
788C4×Q8—24no—
789C4×Q8—24no—
790C4×Q8—44no—
791C4×Q8—44no—
792C4×Q8—42no—
793C4×Q8—44no—
794C4×Q8—44no—
795C4×Q8—44no—
796C4×Q8—44no—
797C4×Q8—84no—
798C4×D4—44no—
799C4×D4—44no—
800C4×D4—44no—
801C4×D4—44no—
802C4×D4—42no—
803C4×D4—44no—
804C4×D4—42no—
805C4×D4—42no—
806C4×D4—84no—
807#117—44no—
808#117—44no—
809#117—84no—
810C2×C4⋊C4—44no—
811C2×C4⋊C4—44no—
812C2×C4⋊C4—48no—
813C2×C4⋊C4—44no—
814C2×C4⋊C4C2411yescharacteristic
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2412yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2411yescharacteristic
822C2×C4⋊C4C2412yes—
823C2×C4⋊C4C2411yescharacteristic
824C2×C4⋊C4C2412yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2412yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C22⋊C4—48no—
878C2×C22⋊C4—84no—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2412yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2412yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C42C2412yes—
927C2×C42C2411yescharacteristic
928C2×C42C2411yescharacteristic
929C2×C42C2412yes—
930C2×C42C2411yescharacteristic
931C2×C42C2412yes—
932C2×C42C2412yes—
933C2×C42C2412yes—
934C2×C42C2412yes—
935C2×C42C2411yescharacteristic
936C2×C42C2412yes—
937C2×C42C2412yes—
938C2×C42C2414yes—
939C2×C42C2414yes—
940C2×C42C2414yes—
941C2×C42C2414yes—
942C2×C42C2414yes—
943C2×C42C2414yes—
944C2×C42C2414yes—
945C2×C42C2414yes—
946C2×C42C2412yes—
947C2×C42C2411yescharacteristic
948C2×C42C2412yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2411yescharacteristic
954#95C2412yes—
955#95C2414yes—
956#95C2412yes—
957#95C2411yescharacteristic
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2411yescharacteristic
963#95C2412yes—
964#95C2411yescharacteristic
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2412yes—
970#95C2412yes—
971#95C2412yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2412yes—
980#95C2412yes—
981#95C2412yes—
982#95C2412yes—
983#95C2412yes—
984#95C2412yes—
985#95C2412yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2412yes—
990#95C2412yes—
991#95C2412yes—
992#95C2412yes—
993#95C2412yes—
994#95C2414yes—
995#95C2412yes—
996#95C2412yes—
997#95C2412yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2412yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2412yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020C24—24no—
1021C24—24no—
1022C24—42no—
1023C24—42no—
1024C24—42no—
1025C24—42no—
1026C24—42no—
1027C24C2512yes—
1028C24C2512yes—
1029C24C2512yes—
1030C2×Q8—24no—
1031C2×Q8—28no—
1032C2×Q8—24no—
1033C2×Q8—24no—
1034C2×Q8—24no—
1035C2×Q8—24no—
1036C2×Q8—24no—
1037C2×Q8—24no—
1038C2×Q8—22no—
1039C2×Q8—42no—
1040C2×Q8—42no—
1041C2×Q8—42no—
1042C2×Q8—41no—
1043C2×Q8—42no—
1044C2×Q8—42no—
1045C2×Q8—41no—
1046C2×Q8—42no—
1047C2×Q8—44no—
1048C2×Q8—44no—
1049C2×Q8—42no—
1050C2×Q8—42no—
1051C2×Q8—42no—
1052C2×Q8—816no—
1053C2×Q8H(5,𝔽2)14yes—
1054C2×D4—24no—
1055C2×D4—24no—
1056C2×D4—24no—
1057C2×D4—24no—
1058C2×D4—22no—
1059C2×D4—41no—
1060C2×D4—41no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—41no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—41no—
1069C2×D42−1+418yes—
1070C22×C4—28no—
1071C22×C4—24no—
1072C22×C4—24no—
1073C22×C4—24no—
1074C22×C4—24no—
1075C22×C4—24no—
1076C22×C4—24no—
1077C22×C4—24no—
1078C22×C4—24no—
1079C22×C4—24no—
1080C22×C4—28no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—42no—
1084C22×C4—44no—
1085C22×C4—44no—
1086C22×C4—42no—
1087C22×C4—42no—
1088C22×C4—44no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—816no—
1101C22×C4C2511yescharacteristic
1102C22×C4C2511yescharacteristic
1103C22×C4C2512yes—
1104C22×C4C2512yes—
1105C22×C4C2512yes—
1106C22×C4C2514yes—
1107C22×C4C2512yes—
1108C22×C4C2511yescharacteristic
1109C22×C4C2512yes—
1110C22×C4C2514yes—
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2514yes—
1114C22×C4C2512yes—
1115C22×C4C2514yes—
1116C22×C4C2512yes—
1117C22×C4C2511yescharacteristic
1118C22×C4C2512yes—
1119C22×C4C2514yes—
1120C22×C4C2514yes—
1121C22×C4C2512yes—
1122C22×C4C2511yescharacteristic
1123C22×C4C2512yes—
1124C22×C4C2512yes—
1125C22×C4C2511yescharacteristic
1126C22×C4C2511yescharacteristic
1127C4⋊C4—22no—
1128C4⋊C4—24no—
1129C4⋊C4—24no—
1130C4⋊C4—28no—
1131C4⋊C4—28no—
1132C4⋊C4—22no—
1133C4⋊C4—24no—
1134C4⋊C4—22no—
1135C4⋊C4—24no—
1136C4⋊C4—24no—
1137C4⋊C4—28no—
1138C4⋊C4—28no—
1139C4⋊C4—24no—
1140C4⋊C4—24no—
1141C4⋊C4—24no—
1142C4⋊C4—28no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
1150C4⋊C4—42no—
1151C4⋊C4—42no—
1152C4⋊C4—42no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—42no—
1156C4⋊C4—42no—
1157C4⋊C4—41no—
1158C4⋊C4—44no—
1159C4⋊C4—42no—
1160C4⋊C4—44no—
1161C4⋊C4—42no—
1162C4⋊C4—42no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—41no—
1166C4⋊C4—42no—
1167C4⋊C4—42no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—44no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—42no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—42no—
1184C4⋊C4—42no—
1185C4⋊C4—42no—
1186C4⋊C4—42no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C22⋊C4—24no—
1191C22⋊C4—24no—
1192C22⋊C4—28no—
1193C22⋊C4—28no—
1194C22⋊C4—28no—
1195C22⋊C4—24no—
1196C22⋊C4—24no—
1197C22⋊C4—24no—
1198C22⋊C4—24no—
1199C22⋊C4—28no—
1200C22⋊C4—28no—
1201C22⋊C4—24no—
1202C22⋊C4—24no—
1203C22⋊C4—24no—
1204C22⋊C4—24no—
1205C22⋊C4—24no—
1206C22⋊C4—24no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—42no—
1216C22⋊C4—44no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—44no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—44no—
1236C22⋊C4—42no—
1237C42—24no—
1238C42—24no—
1239C42—22no—
1240C42—22no—
1241C42—22no—
1242C42—24no—
1243C42—24no—
1244C42—24no—
1245C42—24no—
1246C42—24no—
1247C42—22no—
1248C42—44no—
1249C42—44no—
1250C42—42no—
1251C42—44no—
1252C42—44no—
1253C42—44no—
1254C42—44no—
1255C42—44no—
1256C42—44no—
1257C42—42no—
1258C42—42no—
1259C42—41no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—48no—
1280C23—48no—
1281C23—84no—
1282C23—84no—
1283C23—84no—
1284C23—84no—
1285C23—84no—
1286C23C2×2−1+414yes—
1287C23C2×2−1+414yes—
1288C23C2611yescharacteristic
1289Q8—28no—
1290Q8—48no—
1291Q8—48no—
1292Q8—84no—
1293Q8—84no—
1294Q8—82no—
1295Q8—88no—
1296Q8—162no—
1297D4—48no—
1298D4—44no—
1299D4—44no—
1300D4—82no—
1301D4—84no—
1302D4—84no—
1303C2×C4—21no—
1304C2×C4—22no—
1305C2×C4—24no—
1306C2×C4—22no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—22no—
1311C2×C4—21no—
1312C2×C4—22no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—24no—
1318C2×C4—24no—
1319C2×C4—24no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—24no—
1325C2×C4—24no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—24no—
1341C2×C4—21no—
1342C2×C4—24no—
1343C2×C4—22no—
1344C2×C4—24no—
1345C2×C4—24no—
1346C2×C4—24no—
1347C2×C4—24no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—21no—
1352C2×C4—24no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—24no—
1359C2×C4—22no—
1360C2×C4—24no—
1361C2×C4—21no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—24no—
1366C2×C4—24no—
1367C2×C4—24no—
1368C2×C4—22no—
1369C2×C4—21no—
1370C2×C4—48no—
1371C2×C4—48no—
1372C2×C4—48no—
1373C2×C4—88no—
1374C2×C4—88no—
1375C2×C4—88no—
1376C2×C4—84no—
1377C2×C4—84no—
1378C2×C4—84no—
1379C2×C4—164no—
1380C2×C4C2×H(5,𝔽2)14yes—
1381C2×C4C2×H(5,𝔽2)12yes—
1382C2×C4C2×2−1+414yes—
1383C2×C4#58512yes—
1384C2×C4#58514yes—
1385C22—24no—
1386C22—24no—
1387C22—24no—
1388C22—24no—
1389C22—24no—
1390C22—24no—
1391C22—42no—
1392C22—42no—
1393C22—42no—
1394C22—42no—
1395C22—42no—
1396C22—42no—
1397C22—42no—
1398C22—42no—
1399C22—42no—
1400C22—42no—
1401C22—42no—
1402C22—42no—
1403C22—42no—
1404C22—42no—
1405C22—42no—
1406C22—816no—
1407C22C22×H(5,𝔽2)11yescharacteristic
1408C22C22×2−1+412yes—
1409C22C2×#58512yes—
1410C22C2×#58511yescharacteristic
1411C22H(7,𝔽2)11yescharacteristic
1412C4—24no—
1413C4—22no—
1414C4—24no—
1415C4—42no—
1416C4—42no—
1417C4—42no—
1418C4—44no—
1419C4—42no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—42no—
1424C4—44no—
1425C4—42no—
1426C4—42no—
1427C4—44no—
1428C4—44no—
1429C4—42no—
1430C4—42no—
1431C4—41no—
1432C4—41no—
1433C4—44no—
1434C4—44no—
1435C4—42no—
1436C4—42no—
1437C4#354514yes—
1438C2—44no—
1439C2—44no—
1440C2—82no—
1441C2C2×#354511yescharacteristic
1442C2#6289911yescharacteristic
1443C2#6290212yes—
1444C2#6301611yescharacteristic
1445C2#6302512yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2679C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59951C2semidirect
2. #59946C2semidirect
3. #59206C2semidirect
4. #59025C2semidirect
5. #59016C2semidirect
6. #58636C2semidirect
7. #56417C2semidirect
8. #54461C2semidirect
9. #54217C2semidirect
10. #53145C2semidirect
11. #52987C2semidirect
13. #46970C2semidirect
14. #46966C2semidirect
15. #45384C2semidirect
16. #45282C2semidirect
18. #43564C2semidirect
19. #42814C2semidirect
20. #42513C2semidirect
21. #42419C2semidirect
22. #42360C2semidirect
23. #39935C2semidirect
24. #39744C2semidirect
25. #39633C2semidirect
26. #39595C2semidirect
27. #39154C2semidirect
28. #35945C2semidirect
29. #35910C2semidirect
30. C2×#557C22semidirect
34. C22×C22⋊Q8C22semidirect
35. #2868C22semidirect
36. #2848C22semidirect
37. #2839C22semidirect
38. #2838C22semidirect
39. #2836C22semidirect
40. #2834C22semidirect
41. #2833C22semidirect
42. #2833C22semidirect
43. #2831C22semidirect
45. #2822C22semidirect
46. #2809C22semidirect
49. #2802C22semidirect
50. #2790C22semidirect
51. #2790C22semidirect
52. #2789C22semidirect
53. #2788C22semidirect
54. #2788C22semidirect
55. #2787C22semidirect
62. #2774C22semidirect
63. #2769C22semidirect
64. #2769C22semidirect
65. #2766C22semidirect
66. #2765C22semidirect
67. #2762C22semidirect
68. #2759C22semidirect
70. #2754C22semidirect
71. #2747C22semidirect
73. #2744C22semidirect
76. #2739C22semidirect
77. #2735C22semidirect
81. #2729C22semidirect
82. #2729C22semidirect
83. #2729C22semidirect
84. #2729C22semidirect
88. #2721C22semidirect
89. #2721C22semidirect
92. #2704C22semidirect
96. #2690C22semidirect
97. #2689C22semidirect
102. #2677C22semidirect
103. #2677C22semidirect
104. #2660C22semidirect
106. #2654C22semidirect
107. #2652C22semidirect
108. #2652C22semidirect
109. #2647C22semidirect
110. #2647C22semidirect
112. #2642C22semidirect
113. #2642C22semidirect
114. #2637C22semidirect
115. #2634C22semidirect
117. #2626C22semidirect
120. #2590C22semidirect
121. #2588C22semidirect
122. #2587C22semidirect
123. #2586C22semidirect
124. #2583C22semidirect
125. #2582C22semidirect
126. #2581C22semidirect
127. #2581C22semidirect
130. #2577C22semidirect
132. #2574C22semidirect
133. #2573C22semidirect
135. #2568C22semidirect
136. #2568C22semidirect
141. #2549C22semidirect
143. #2546C22semidirect
144. #2546C22semidirect
145. #2546C22semidirect
152. #2533C22semidirect
153. #2532C22semidirect
154. #2530C22semidirect
155. #2530C22semidirect
156. #2529C22semidirect
157. #2527C22semidirect
158. #2527C22semidirect
160. #2522C22semidirect
162. #2502C22semidirect
163. #2502C22semidirect
164. #2499C22semidirect
165. #2497C22semidirect
166. #2497C22semidirect
167. #2496C22semidirect
168. #2494C22semidirect
169. #2494C22semidirect
170. #2494C22semidirect
171. #2493C22semidirect
172. #2492C22semidirect
173. #2492C22semidirect
174. #2492C22semidirect
175. #2492C22semidirect
176. #2489C22semidirect
177. #2489C22semidirect
181. #2482C22semidirect
183. #2480C22semidirect
184. #2480C22semidirect
186. #2473C22semidirect
189. #2469C22semidirect
190. #2465C22semidirect
191. #2465C22semidirect
193. #2451C22semidirect
195. #2442C22semidirect
196. #2441C22semidirect
197. #2441C22semidirect
198. #2440C22semidirect
199. #2440C22semidirect
200. #2440C22semidirect
201. #2439C22semidirect
202. #2437C22semidirect
203. #2429C22semidirect
204. #2429C22semidirect
205. #2423C22semidirect
206. #2423C22semidirect
207. #2423C22semidirect
208. #2421C22semidirect
209. #2421C22semidirect
210. #2421C22semidirect
223. #2396C22semidirect
225. #2369C22semidirect
226. #2362C22semidirect
227. #2362C22semidirect
228. #2360C22semidirect
229. #2360C22semidirect
230. #2360C22semidirect
235. Q8×C4⋊C4C22semidirect
237. #2347C22semidirect
238. #2344C22semidirect
239. Q8×C22⋊C4C22semidirect
240. Q8×C22⋊C4C22semidirect
241. Q8×C22⋊C4C22semidirect
243. #2329C22semidirect
244. #2327C22semidirect
247. #2320C22semidirect
248. #2320C22semidirect
254. #2295C22semidirect
255. #2295C22semidirect
256. #2280C22semidirect
257. C2×#380C22semidirect
258. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#599512
#599462
#592062
#590252
#590162
#586362
#564172
#544612
#542172
#531452
#529872
#523012
#469702
#469662
#453842
#452822
#437912
#435642
#428142
#425132
#424192
#423602
#399352
#397442
#396332
#395952
#391542
#359452
#359102