Finite Group Databasebeta

← #8097280

Subgroups — #8097280

Order 512.

4481 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#53127C212yesmaximal, complemented
2#53081C211yesmaximal, characteristic, complemented
3#53079C212yesmaximal, complemented
4#53031C211yesmaximal, characteristic, complemented
5#52901C212yesmaximal, complemented
6#52844C214yesmaximal, complemented
7#52816C214yesmaximal, complemented
8#52696C212yesmaximal, complemented
9#52301C211yesmaximal, characteristic, complemented
10#52246C212yesmaximal, complemented
11#46279C212yesmaximal, complemented
12#46196C211yesmaximal, characteristic, complemented
13#46055C212yesmaximal, complemented
14#45888C214yesmaximal, complemented
15#45658C214yesmaximal, complemented
16#45624C212yesmaximal, complemented
17#45623C212yesmaximal, complemented
18#45547C214yesmaximal, complemented
19#45521C214yesmaximal, complemented
20#45508C212yesmaximal, complemented
21#36526C212yesmaximal, complemented
22#36516C212yesmaximal, complemented
23#36439C212yesmaximal, complemented
24#36235C212yesmaximal, complemented
25#36185C211yesmaximal, characteristic, complemented
26#36050C212yesmaximal, complemented
27#36048C211yesmaximal, characteristic, complemented
28#35909C211yesmaximal, characteristic, complemented
29#35855C212yesmaximal, complemented
30C2×#556C2211yescharacteristic
31C2×#556C2211yescharacteristic, complemented
32C2×#555C2211yescharacteristic
33C2×#554C2211yescharacteristic
34C22×#117C2212yescomplemented
35#2864C2212yescomplemented
36#2862C2211yescharacteristic, complemented
37#2855C2214yescomplemented
38#2852C2214yes—
39#2852C2214yescomplemented
40#2850C2212yes—
41#2850C2214yes—
42#2848C2212yescomplemented
43#2848C2212yescomplemented
44#2847C2212yescomplemented
45#2843C2212yescomplemented
46#2843C2212yescomplemented
47#2836C2214yescomplemented
48#2832C2212yes—
49#2832C2214yescomplemented
50#2832C2214yescomplemented
51#2831C2214yescomplemented
52#2831C2214yescomplemented
53#2830C2212yes—
54#2830C2214yescomplemented
55#2829C2214yes—
56#2827C2214yes—
57#2827C2214yescomplemented
58#2827C2214yescomplemented
59#2824C2214yes—
60#2823C2212yes—
61#2817C2214yescomplemented
62#2816C2214yes—
63#2812C2214yes—
64#2807C2214yescomplemented
65#2804C2211yescharacteristic
66#2804C2212yes—
67#2799C2212yescomplemented
68#2798C2214yescomplemented
69#2797C2214yes—
70#2796C2214yes—
71#2796C2214yescomplemented
72#2794C2212yescomplemented
73#2793C2214yescomplemented
74#2790C2214yescomplemented
75#2789C2212yescomplemented
76#2788C2214yescomplemented
77#2786C2214yescomplemented
78#2783C2214yescomplemented
79#2782C2211yescharacteristic
80#2782C2212yes—
81#2782C2211yescharacteristic
82#2782C2212yes—
83#2780C2214yescomplemented
84#2778C2214yes—
85#2764C2214yescomplemented
86#2761C2214yes—
87#2759C2214yescomplemented
88#2757C2214yes—
89#2757C2214yescomplemented
90#2757C2214yescomplemented
91#2755C2214yescomplemented
92#2755C2214yescomplemented
93#2751C2214yescomplemented
94#2751C2214yescomplemented
95#2749C2214yes—
96#2749C2214yes—
97#2746C2214yescomplemented
98#2744C2214yescomplemented
99#2739C2214yescomplemented
100#2735C2214yescomplemented
101#2731C2212yes—
102#2716C2214yescomplemented
103#2701C2214yes—
104#2700C2214yes—
105#2697C2214yescomplemented
106#2693C2214yes—
107#2687C2214yescomplemented
108#2685C2214yes—
109#2684C2212yes—
110#2684C2212yes—
111#2684C2212yes—
112#2680C2212yes—
113#2680C2212yes—
114#2679C2211yescharacteristic
115#2678C2214yes—
116#2664C2212yescomplemented
117#2662C2212yes—
118#2651C2214yes—
119#2650C2214yescomplemented
120#2647C2212yescomplemented
121#2647C2212yescomplemented
122#2640C2211yescharacteristic, complemented
123#2640C2211yescharacteristic, complemented
124#2611C2212yescomplemented
125#2610C2214yes—
126#2610C2212yes—
127#2609C2214yescomplemented
128#2604C2212yescomplemented
129#2603C2212yes—
130#2601C2214yes—
131#2599C2214yescomplemented
132#2597C2214yes—
133#2597C2214yescomplemented
134#2596C2214yescomplemented
135#2593C2214yes—
136#2582C2212yescomplemented
137#2581C2212yescomplemented
138#2580C2212yescomplemented
139#2578C2214yescomplemented
140#2575C2214yescomplemented
141#2574C2214yescomplemented
142#2567C2211yescharacteristic, complemented
143#2567C2211yescharacteristic, complemented
144#2561C2214yescomplemented
145#2560C2214yescomplemented
146#2560C2214yescomplemented
147#2557C2214yes—
148#2546C2211yescharacteristic, complemented
149#2542C2211yescharacteristic
150#2540C2211yescharacteristic
151#2540C2211yescharacteristic
152#2538C2212yes—
153#2536C2212yes—
154#2535C2212yes—
155#2534C2214yes—
156#2533C2214yescomplemented
157#2532C2214yescomplemented
158#2532C2214yescomplemented
159#2531C2214yes—
160#2529C2214yescomplemented
161#2528C2214yescomplemented
162#2525C2214yescomplemented
163#2524C2214yescomplemented
164#2523C2214yescomplemented
165#2521C2214yescomplemented
166#2521C2214yescomplemented
167#2512C2214yescomplemented
168#2503C2212yescomplemented
169#2500C2212yes—
170#2500C2212yescomplemented
171#2499C2212yescomplemented
172#2499C2212yescomplemented
173#2497C2212yescomplemented
174#2496C2212yescomplemented
175#2495C2212yescomplemented
176#2495C2212yescomplemented
177#2495C2212yescomplemented
178#2494C2212yescomplemented
179#2486C2212yes—
180#2485C2212yes—
181#2485C2212yes—
182#2480C2214yescomplemented
183#2478C2214yescomplemented
184#2477C2214yes—
185#2477C2214yes—
186#2476C2214yes—
187#2475C2214yescomplemented
188#2475C2214yescomplemented
189#2474C2214yes—
190#2474C2214yescomplemented
191#2472C2214yes—
192#2472C2214yescomplemented
193#2467C2214yes—
194#2452C2214yescomplemented
195#2440C2212yescomplemented
196#2440C2212yescomplemented
197#2439C2212yescomplemented
198#2439C2212yescomplemented
199#2439C2212yescomplemented
200#2439C2212yescomplemented
201#2429C2212yescomplemented
202#2429C2212yescomplemented
203#2427C2212yescomplemented
204#2427C2212yescomplemented
205#2426C2212yescomplemented
206#2426C2212yescomplemented
207#2424C2214yes—
208#2423C2212yescomplemented
209#2422C2212yescomplemented
210#2421C2212yescomplemented
211#2421C2212yescomplemented
212#2421C2212yescomplemented
213#2420C2212yescomplemented
214#2417C2212yes—
215#2416C2212yes—
216#2415C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2414C2212yes—
220#2402C2214yescomplemented
221#2401C2214yescomplemented
222#2398C2212yes—
223#2398C2211yescharacteristic
224#2398C2212yes—
225#2398C2211yescharacteristic
226#2396C2212yescomplemented
227#2392C2212yes—
228#2383C2214yescomplemented
229#2381C2212yescomplemented
230#2378C2214yescomplemented
231#2377C2214yes—
232#2375C2214yescomplemented
233#2363C2212yescomplemented
234#2362C2212yescomplemented
235#2362C2212yescomplemented
236#2362C2212yescomplemented
237#2361C2212yescomplemented
238#2360C2212yescomplemented
239#2355C2212yescomplemented
240#2354C2212yes—
241#2352C2212yes—
242#2352C2212yes—
243#2347C2212yescomplemented
244#2346C2212yescomplemented
245#2345C2212yescomplemented
246C4×#124C2211yescharacteristic
247C4×#124C2212yes—
248C4×C22⋊Q8C2214yescomplemented
249C4×#123C2214yes—
250C4×#123C2214yescomplemented
251C4×#120C2212yes—
252C4×#120C2212yes—
253C4×#120C2212yes—
254#2290C2214yescomplemented
255#2285C2212yescomplemented
256#2276C2211yescharacteristic, complemented
257#2276C2211yescharacteristic, complemented
258C42×D4C2211yescharacteristic, complemented
259C24×C4C2312yes—
260#556—44no—
261#556—44no—
262#555—44no—
263#554—44no—
264C2×C4⋊Q8C2311yescharacteristic
265C2×C4⋊Q8C2311yescharacteristic
266C2×C4⋊Q8C2311yescharacteristic
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2311yescharacteristic
269C2×#126C2312yes—
270C2×#126C2314yes—
271C2×#126C2314yes—
272C2×#126C2312yes—
273C2×#125C2312yes—
274C2×#124C2311yescharacteristic
275C2×#124C2314yes—
276C2×#124C2312yes—
277C2×#124C2311yescharacteristic
278C2×#124C2311yescharacteristic
279C2×#124C2312yes—
280C2×#123C2314yes—
281C2×#123C2314yes—
282C2×C22⋊Q8C2312yes—
283C2×C22⋊Q8C2314yes—
284C2×C22⋊Q8C2314yes—
285C2×C22⋊Q8C2314yes—
286C2×C22⋊Q8C2312yes—
287C2×C22⋊Q8C2312yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×#121C2314yes—
293C2×#121C2312yes—
294C2×#121C2312yes—
295C2×#121C2312yes—
296C2×#121C2312yes—
297C2×#120C2314yes—
298C2×#120C2312yes—
299C2×#120C2312yes—
300C2×#120C2312yes—
301C2×C4×Q8C2311yescharacteristic
302C2×C4×Q8C2311yescharacteristic
303C2×C4×Q8C2311yescharacteristic
304C2×C4×Q8C2312yes—
305C2×C4×Q8C2312yes—
306C2×C4×Q8C2312yes—
307C2×C4×Q8C2312yes—
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2312yes—
310C2×C4×D4C2312yes—
311C2×C4×D4C2312yes—
312C2×C4×D4C2312yes—
313C2×C4×D4C2312yes—
314C2×C4×D4C2314yes—
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×#117—48no—
319C2×#117C2312yes—
320C2×#117C2312yes—
321C2×#117C2314yes—
322C2×#117C2312yes—
323C2×#117C2314yes—
324C2×#117C2312yes—
325C2×#117C2312yes—
326C2×#117C2312yes—
327C22×C4⋊C4C2312yes—
328C22×C4⋊C4C2312yes—
329C22×C22⋊C4C2314yes—
330C22×C42C2314yes—
331C22×C42C2312yes—
332#401C2314yes—
333#400C2314yes—
334#400C2314yes—
335#400C2314yes—
336#400C2314yes—
337#400C2314yes—
338#400C2314yes—
339#400C2314yes—
340#400C2314yes—
341#400C2314yes—
342#400C2314yes—
343#400C2314yes—
344#400C2314yes—
345#400C2314yes—
346#400C2312yes—
347#400C2311yescharacteristic
348#400C2311yescharacteristic
349#400C2314yes—
350#400C2311yescharacteristic
351#400C2311yescharacteristic
352#400C2312yes—
353#400C2312yes—
354#400C2312yes—
355#400C2314yes—
356#399C2314yes—
357#399C2314yes—
358#399C2314yes—
359#399C2312yes—
360#399C2312yes—
361#398C2314yes—
362#398C2314yes—
363#398C2314yes—
364#398C2314yes—
365#398C2312yes—
366#398C2314yes—
367#398C2314yes—
368#398C2314yes—
369#398C2314yes—
370#398C2314yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2312yes—
375#398C2314yes—
376#398C2314yes—
377#397C2312yes—
378#397C2314yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2312yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2312yes—
393#397C2314yes—
394#397C2314yes—
395#397C2312yes—
396#397C2314yes—
397#397C2314yes—
398#397C2312yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2312yes—
404#397C2314yes—
405#397C2312yes—
406#397C2312yes—
407#396C2314yes—
408#396C2314yes—
409#396C2314yes—
410#396C2314yes—
411#396C2314yes—
412#396C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#395C2312yes—
421#395C2312yes—
422#395C2314yes—
423#395C2314yes—
424#395C2312yes—
425#395C2312yes—
426#395C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2312yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2311yescharacteristic
435#394C2314yes—
436#394C2312yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2312yes—
443#394C2314yes—
444#394C2314yes—
445#394C2311yescharacteristic
446#394C2314yes—
447#394C2312yes—
448#394C2311yescharacteristic
449#394C2311yescharacteristic
450#394C2314yes—
451#393C2312yes—
452#393C2314yes—
453#393C2312yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2312yes—
458#393C2312yes—
459#393C2314yes—
460#393C2314yes—
461#393C2312yes—
462#393C2312yes—
463#393C2312yes—
464#393C2312yes—
465#392C2314yes—
466#392C2312yes—
467#392C2312yes—
468#392C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2311yescharacteristic
483#391C2314yes—
484#391C2312yes—
485#390C2314yes—
486#390C2314yes—
487#390C2314yes—
488#390C2311yescharacteristic
489#390C2314yes—
490#390C2312yes—
491#390C2312yes—
492#390C2314yes—
493#390C2312yes—
494#390C2314yes—
495#390C2314yes—
496#390C2314yes—
497#390C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2312yes—
514#389C2314yes—
515#389C2312yes—
516#389C2314yes—
517#389C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2312yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2312yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
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#387C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2312yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2312yes—
605#386C2314yes—
606#386C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2312yes—
611#386C2312yes—
612#386C2314yes—
613#386C2312yes—
614#386C2312yes—
615#386C2312yes—
616#386C2312yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2312yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2312yes—
631#385C2312yes—
632#385C2312yes—
633#385C2314yes—
634#385C2312yes—
635#385C2312yes—
636#385C2312yes—
637#385C2312yes—
638#385C2312yes—
639#384C2312yes—
640#384C2312yes—
641#384C2312yes—
642#384C2312yes—
643#384C2312yes—
644#383C2314yes—
645#383C2314yes—
646#383C2314yes—
647#383C2314yes—
648#382C2314yes—
649#382C2312yes—
650#382C2312yes—
651#382C2312yes—
652#382C2312yes—
653#382C2312yes—
654#382C2312yes—
655#382C2312yes—
656#382C2311yescharacteristic
657#381C2314yes—
658#381C2314yes—
659#381C2314yes—
660#381C2314yes—
661#380C2314yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2314yes—
672#380C2314yes—
673#380C2314yes—
674#379C2312yes—
675#379C2314yes—
676#379C2314yes—
677#379C2312yes—
678#379C2312yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2311yescharacteristic
682C4×C4⋊C4C2311yescharacteristic
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2311yescharacteristic
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2314yes—
697C4×C22⋊C4C2314yes—
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—
710C4×C22⋊C4C2312yes—
711#376C2314yes—
712#376C2312yes—
713#376C2312yes—
714#376C2311yescharacteristic
715#376C2311yescharacteristic
716C43C2311yescharacteristic
717C25C2412yes—
718C22×Q8C2411yescharacteristic
719C22×Q8C2411yescharacteristic
720C22×Q8C2411yescharacteristic
721C22×Q8C2412yes—
722C22×Q8C2412yes—
723C22×Q8C2412yes—
724C22×Q8C2412yes—
725C22×D4C2411yescharacteristic
726C22×D4C2411yescharacteristic
727C22×D4C2411yescharacteristic
728C22×D4C2412yes—
729C22×D4C2412yes—
730C22×D4C2414yes—
731C22×D4C2411yescharacteristic
732C22×D4C2412yes—
733C22×D4C2414yes—
734C22×D4C2414yes—
735C23×C4—44no—
736C23×C4—44no—
737C23×C4—44no—
738C23×C4C2412yes—
739C23×C4C2412yes—
740C23×C4C2412yes—
741C23×C4C2412yes—
742C23×C4C2414yes—
743C23×C4C2414yes—
744C23×C4C2412yes—
745C23×C4C2412yes—
746C23×C4C2414yes—
747C23×C4C2412yes—
748C4⋊Q8—42no—
749C4⋊Q8—42no—
750C4⋊Q8—42no—
751C4⋊Q8—42no—
752C4⋊Q8—44no—
753#126—48no—
754#126—48no—
755#126—44no—
756#126—44no—
757#125—44no—
758#124—48no—
759#124—44no—
760#124—42no—
761#124—42no—
762#124—42no—
763#124—44no—
764#123—48no—
765#123—48no—
766C22⋊Q8—48no—
767C22⋊Q8—48no—
768C22⋊Q8—48no—
769C22⋊Q8—44no—
770C22⋊Q8—44no—
771C22⋊Q8—44no—
772C22⋊Q8—44no—
773C22⋊Q8—44no—
774C22⋊Q8—44no—
775C22⋊Q8—44no—
776#121—44no—
777#121—44no—
778#121—44no—
779#121—44no—
780#121—48no—
781#120—44no—
782#120—44no—
783#120—48no—
784#120—44no—
785C4×Q8—24no—
786C4×Q8—24no—
787C4×Q8—44no—
788C4×Q8—44no—
789C4×Q8—42no—
790C4×Q8—44no—
791C4×Q8—44no—
792C4×D4—24no—
793C4×D4—44no—
794C4×D4—44no—
795C4×D4—44no—
796C4×D4—44no—
797C4×D4—44no—
798C4×D4—42no—
799C4×D4—42no—
800C4×D4—42no—
801C4×D4—48no—
802#117—28no—
803#117—28no—
804#117—44no—
805#117—44no—
806#117—48no—
807#117—48no—
808#117—44no—
809#117—44no—
810C2×C4⋊C4—28no—
811C2×C4⋊C4—44no—
812C2×C4⋊C4C2412yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2412yes—
815C2×C4⋊C4C2412yes—
816C2×C4⋊C4C2412yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2412yes—
819C2×C4⋊C4C2412yes—
820C2×C4⋊C4C2412yes—
821C2×C4⋊C4C2412yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2411yescharacteristic
824C2×C4⋊C4C2411yescharacteristic
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2411yescharacteristic
828C2×C4⋊C4C2411yescharacteristic
829C2×C4⋊C4C2412yes—
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2412yes—
832C2×C4⋊C4C2412yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2411yescharacteristic
864C2×C22⋊C4—48no—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2412yes—
868C2×C22⋊C4C2412yes—
869C2×C22⋊C4C2412yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2412yes—
872C2×C22⋊C4C2412yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2412yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2412yes—
879C2×C22⋊C4C2412yes—
880C2×C22⋊C4C2412yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2412yes—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2412yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2412yes—
888C2×C22⋊C4C2412yes—
889C2×C22⋊C4C2412yes—
890C2×C22⋊C4C2412yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2412yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2412yes—
895C2×C22⋊C4C2412yes—
896C2×C22⋊C4C2412yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2412yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C42—48no—
925C2×C42—44no—
926C2×C42C2414yes—
927C2×C42C2414yes—
928C2×C42C2412yes—
929C2×C42C2412yes—
930C2×C42C2411yescharacteristic
931C2×C42C2412yes—
932C2×C42C2411yescharacteristic
933C2×C42C2411yescharacteristic
934C2×C42C2412yes—
935C2×C42C2412yes—
936C2×C42C2411yescharacteristic
937C2×C42C2412yes—
938C2×C42C2414yes—
939C2×C42C2414yes—
940C2×C42C2414yes—
941C2×C42C2414yes—
942C2×C42C2414yes—
943C2×C42C2412yes—
944C2×C42C2412yes—
945C2×C42C2411yescharacteristic
946C2×C42C2414yes—
947C2×C42C2414yes—
948C2×C42C2412yes—
949#95C2411yescharacteristic
950#95C2411yescharacteristic
951#95C2412yes—
952#95C2414yes—
953#95C2414yes—
954#95C2412yes—
955#95C2412yes—
956#95C2411yescharacteristic
957#95C2412yes—
958#95C2412yes—
959#95C2411yescharacteristic
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2412yes—
964#95C2414yes—
965#95C2412yes—
966#95C2412yes—
967#95C2412yes—
968#95C2412yes—
969#95C2412yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2412yes—
976#95C2412yes—
977#95C2412yes—
978#95C2412yes—
979#95C2412yes—
980#95C2412yes—
981#95C2412yes—
982#95C2412yes—
983#95C2414yes—
984#95C2412yes—
985#95C2412yes—
986#95C2412yes—
987#95C2412yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
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—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016C24—24no—
1017C24—42no—
1018C24—42no—
1019C24—42no—
1020C24—42no—
1021C24—42no—
1022C24—42no—
1023C24C2512yes—
1024C24C2512yes—
1025C24C2512yes—
1026C24C2512yes—
1027C2×Q8—22no—
1028C2×Q8—22no—
1029C2×Q8—24no—
1030C2×Q8—24no—
1031C2×Q8—22no—
1032C2×Q8—41no—
1033C2×Q8—42no—
1034C2×Q8—42no—
1035C2×Q8—44no—
1036C2×Q8—42no—
1037C2×Q8—41no—
1038C2×Q8—42no—
1039C2×Q8—42no—
1040C2×Q8—44no—
1041C2×Q8—42no—
1042C2×Q8—42no—
1043C2×Q8—42no—
1044C2×D4—24no—
1045C2×D4—24no—
1046C2×D4—24no—
1047C2×D4—28no—
1048C2×D4—22no—
1049C2×D4—24no—
1050C2×D4—22no—
1051C2×D4—41no—
1052C2×D4—41no—
1053C2×D4—41no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—44no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—44no—
1063C2×D4—41no—
1064C2×D4—42no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C22×C4—28no—
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—24no—
1081C22×C4—24no—
1082C22×C4—24no—
1083C22×C4—28no—
1084C22×C4—42no—
1085C22×C4—42no—
1086C22×C4—42no—
1087C22×C4—42no—
1088C22×C4—42no—
1089C22×C4—42no—
1090C22×C4—42no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—44no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4—432no—
1102C22×C4C2512yes—
1103C22×C4C2512yes—
1104C22×C4C2512yes—
1105C22×C4C2512yes—
1106C22×C4C2511yescharacteristic
1107C22×C4C2514yes—
1108C22×C4C2512yes—
1109C22×C4C2512yes—
1110C22×C4C2512yes—
1111C22×C4C2512yes—
1112C22×C4C2514yes—
1113C22×C4C2511yescharacteristic
1114C22×C4C2514yes—
1115C22×C4C2514yes—
1116C22×C4C2514yes—
1117C22×C4C2512yes—
1118C22×C4C2511yescharacteristic
1119C22×C4C2511yescharacteristic
1120C22×C4C2514yes—
1121C22×C4C2512yes—
1122C22×C4C2512yes—
1123C22×C4C2511yescharacteristic
1124C22×C4C2512yes—
1125C22×C4C2511yescharacteristic
1126C22×C4C2511yescharacteristic
1127C4⋊C4—28no—
1128C4⋊C4—24no—
1129C4⋊C4—24no—
1130C4⋊C4—24no—
1131C4⋊C4—24no—
1132C4⋊C4—24no—
1133C4⋊C4—24no—
1134C4⋊C4—28no—
1135C4⋊C4—24no—
1136C4⋊C4—24no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—41no—
1140C4⋊C4—41no—
1141C4⋊C4—42no—
1142C4⋊C4—42no—
1143C4⋊C4—42no—
1144C4⋊C4—42no—
1145C4⋊C4—42no—
1146C4⋊C4—41no—
1147C4⋊C4—41no—
1148C4⋊C4—42no—
1149C4⋊C4—42no—
1150C4⋊C4—42no—
1151C4⋊C4—42no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—42no—
1176C4⋊C4—42no—
1177C4⋊C4—44no—
1178C4⋊C4H(5,𝔽2)14yes—
1179C22⋊C4—24no—
1180C22⋊C4—28no—
1181C22⋊C4—24no—
1182C22⋊C4—28no—
1183C22⋊C4—24no—
1184C22⋊C4—28no—
1185C22⋊C4—28no—
1186C22⋊C4—24no—
1187C22⋊C4—24no—
1188C22⋊C4—24no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—42no—
1192C22⋊C4—42no—
1193C22⋊C4—42no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—42no—
1198C22⋊C4—42no—
1199C22⋊C4—42no—
1200C22⋊C4—42no—
1201C22⋊C4—42no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—42no—
1208C22⋊C4—44no—
1209C22⋊C4—42no—
1210C22⋊C4—42no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—42no—
1214C22⋊C4—42no—
1215C22⋊C4—42no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—42no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C42—28no—
1239C42—28no—
1240C42—24no—
1241C42—24no—
1242C42—22no—
1243C42—22no—
1244C42—22no—
1245C42—22no—
1246C42—24no—
1247C42—24no—
1248C42—24no—
1249C42—24no—
1250C42—44no—
1251C42—44no—
1252C42—44no—
1253C42—44no—
1254C42—41no—
1255C42—42no—
1256C42—44no—
1257C42—44no—
1258C42—44no—
1259C42—42no—
1260C42—42no—
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—24no—
1275C23—22no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—22no—
1281C23—24no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—22no—
1286C23—48no—
1287C23—84no—
1288C23—84no—
1289C23—84no—
1290C23—84no—
1291C23—84no—
1292C23—84no—
1293C23#58514yes—
1294C23C2611yescharacteristic
1295Q8—44no—
1296Q8—44no—
1297Q8—82no—
1298Q8—84no—
1299Q8—84no—
1300Q8—162no—
1301Q8—162no—
1302D4—44no—
1303D4—44no—
1304D4—82no—
1305D4—88no—
1306D4—84no—
1307D4—84no—
1308D4—82no—
1309D4—84no—
1310D4—164no—
1311D4—164no—
1312C2×C4—21no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—24no—
1321C2×C4—24no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—24no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—24no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—21no—
1339C2×C4—24no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—24no—
1344C2×C4—24no—
1345C2×C4—24no—
1346C2×C4—24no—
1347C2×C4—22no—
1348C2×C4—24no—
1349C2×C4—24no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—24no—
1354C2×C4—24no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—24no—
1358C2×C4—24no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—24no—
1362C2×C4—22no—
1363C2×C4—21no—
1364C2×C4—24no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—24no—
1370C2×C4—21no—
1371C2×C4—22no—
1372C2×C4—24no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—24no—
1376C2×C4—21no—
1377C2×C4—48no—
1378C2×C4—48no—
1379C2×C4—48no—
1380C2×C4—48no—
1381C2×C4—48no—
1382C2×C4—48no—
1383C2×C4—48no—
1384C2×C4—88no—
1385C2×C4—88no—
1386C2×C4—88no—
1387C2×C4C2×H(5,𝔽2)14yes—
1388C2×C4C2×H(5,𝔽2)12yes—
1389C2×C4#58512yes—
1390C2×C4#58514yes—
1391C22—24no—
1392C22—24no—
1393C22—24no—
1394C22—42no—
1395C22—42no—
1396C22—42no—
1397C22—42no—
1398C22—42no—
1399C22—42no—
1400C22—42no—
1401C22—44no—
1402C22—42no—
1403C22—42no—
1404C22—42no—
1405C22—42no—
1406C22—42no—
1407C22—42no—
1408C22—42no—
1409C22—42no—
1410C22—42no—
1411C22—44no—
1412C22—42no—
1413C22—42no—
1414C22—42no—
1415C22—42no—
1416C22—42no—
1417C22—816no—
1418C22C22×H(5,𝔽2)11yescharacteristic
1419C22C2×#58512yes—
1420C22C2×#58511yescharacteristic
1421C22C2×#58512yes—
1422C222−1+611yescharacteristic
1423C4—22no—
1424C4—24no—
1425C4—44no—
1426C4—44no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—44no—
1431C4—42no—
1432C4—42no—
1433C4—42no—
1434C4—44no—
1435C4—44no—
1436C4—41no—
1437C4—41no—
1438C4—42no—
1439C4—44no—
1440C4—42no—
1441C4—42no—
1442C4—42no—
1443C4—42no—
1444C4—42no—
1445C4—42no—
1446C4—42no—
1447C4#352914yes—
1448C2—44no—
1449C2—82no—
1450C2—82no—
1451C2—82no—
1452C2C2×#352911yescharacteristic
1453C2#6289811yescharacteristic
1454C2#6291112yes—
1455C2#6302011yescharacteristic
1456C2#6302812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53127C2semidirect
2. #53081C2semidirect
3. #53079C2semidirect
4. #53031C2semidirect
5. #52901C2semidirect
6. #52844C2semidirect
7. #52816C2semidirect
8. #52696C2semidirect
9. #52301C2semidirect
10. #52246C2semidirect
11. #46279C2semidirect
12. #46196C2semidirect
13. #46055C2semidirect
14. #45888C2semidirect
15. #45658C2semidirect
16. #45624C2semidirect
17. #45623C2semidirect
18. #45547C2semidirect
19. #45521C2semidirect
20. #45508C2semidirect
21. #36526C2semidirect
22. #36516C2semidirect
23. #36439C2semidirect
24. #36235C2semidirect
25. #36185C2semidirect
26. #36050C2semidirect
27. #36048C2semidirect
28. #35909C2semidirect
29. #35855C2semidirect
31. C2×#556C22semidirect
34. C22×#117C22semidirect
35. #2864C22semidirect
36. #2862C22semidirect
37. #2855C22semidirect
39. #2852C22semidirect
42. #2848C22semidirect
43. #2848C22semidirect
44. #2847C22semidirect
45. #2843C22semidirect
46. #2843C22semidirect
47. #2836C22semidirect
49. #2832C22semidirect
50. #2832C22semidirect
51. #2831C22semidirect
52. #2831C22semidirect
54. #2830C22semidirect
57. #2827C22semidirect
58. #2827C22semidirect
61. #2817C22semidirect
64. #2807C22semidirect
67. #2799C22semidirect
68. #2798C22semidirect
71. #2796C22semidirect
72. #2794C22semidirect
73. #2793C22semidirect
74. #2790C22semidirect
75. #2789C22semidirect
76. #2788C22semidirect
77. #2786C22semidirect
78. #2783C22semidirect
83. #2780C22semidirect
85. #2764C22semidirect
87. #2759C22semidirect
89. #2757C22semidirect
90. #2757C22semidirect
91. #2755C22semidirect
92. #2755C22semidirect
93. #2751C22semidirect
94. #2751C22semidirect
97. #2746C22semidirect
98. #2744C22semidirect
99. #2739C22semidirect
100. #2735C22semidirect
102. #2716C22semidirect
105. #2697C22semidirect
107. #2687C22semidirect
116. #2664C22semidirect
119. #2650C22semidirect
120. #2647C22semidirect
121. #2647C22semidirect
122. #2640C22semidirect
123. #2640C22semidirect
124. #2611C22semidirect
127. #2609C22semidirect
128. #2604C22semidirect
131. #2599C22semidirect
133. #2597C22semidirect
134. #2596C22semidirect
136. #2582C22semidirect
137. #2581C22semidirect
138. #2580C22semidirect
139. #2578C22semidirect
140. #2575C22semidirect
141. #2574C22semidirect
142. #2567C22semidirect
143. #2567C22semidirect
144. #2561C22semidirect
145. #2560C22semidirect
146. #2560C22semidirect
148. #2546C22semidirect
156. #2533C22semidirect
157. #2532C22semidirect
158. #2532C22semidirect
160. #2529C22semidirect
161. #2528C22semidirect
162. #2525C22semidirect
163. #2524C22semidirect
164. #2523C22semidirect
165. #2521C22semidirect
166. #2521C22semidirect
167. #2512C22semidirect
168. #2503C22semidirect
170. #2500C22semidirect
171. #2499C22semidirect
172. #2499C22semidirect
173. #2497C22semidirect
174. #2496C22semidirect
175. #2495C22semidirect
176. #2495C22semidirect
177. #2495C22semidirect
178. #2494C22semidirect
182. #2480C22semidirect
183. #2478C22semidirect
187. #2475C22semidirect
188. #2475C22semidirect
190. #2474C22semidirect
192. #2472C22semidirect
194. #2452C22semidirect
195. #2440C22semidirect
196. #2440C22semidirect
197. #2439C22semidirect
198. #2439C22semidirect
199. #2439C22semidirect
200. #2439C22semidirect
201. #2429C22semidirect
202. #2429C22semidirect
203. #2427C22semidirect
204. #2427C22semidirect
205. #2426C22semidirect
206. #2426C22semidirect
208. #2423C22semidirect
209. #2422C22semidirect
210. #2421C22semidirect
211. #2421C22semidirect
212. #2421C22semidirect
213. #2420C22semidirect
220. #2402C22semidirect
221. #2401C22semidirect
226. #2396C22semidirect
228. #2383C22semidirect
229. #2381C22semidirect
230. #2378C22semidirect
232. #2375C22semidirect
233. #2363C22semidirect
234. #2362C22semidirect
235. #2362C22semidirect
236. #2362C22semidirect
237. #2361C22semidirect
238. #2360C22semidirect
239. #2355C22semidirect
243. #2347C22semidirect
244. #2346C22semidirect
245. #2345C22semidirect
248. C4×C22⋊Q8C22semidirect
250. C4×#123C22semidirect
254. #2290C22semidirect
255. #2285C22semidirect
256. #2276C22semidirect
257. #2276C22semidirect
258. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#531272
#530812
#530792
#530312
#529012
#528442
#528162
#526962
#523012
#522462
#462792
#461962
#460552
#458882
#456582
#456242
#456232
#455472
#455212
#455082
#365262
#365162
#364392
#362352
#361852
#360502
#360482
#359092
#358552