Finite Group Databasebeta

← #8751322

Subgroups — #8751322

Order 512.

4820 conjugacy classes of subgroups.

The subgroup lattice has 1513 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59198C211yesmaximal, characteristic, complemented
2#59015C212yesmaximal, complemented
3#58146C214yesmaximal, complemented
4#57882C214yesmaximal, complemented
5#57231C214yesmaximal, complemented
6#56568C212yesmaximal, complemented
7#56305C214yesmaximal, complemented
8#53103C211yesmaximal, characteristic, complemented
9#52999C212yesmaximal, complemented
10#52717C212yesmaximal, complemented
11#52520C214yesmaximal, complemented
12#47195C212yesmaximal, complemented
13#45214C211yesmaximal, characteristic, complemented
14#45052C212yesmaximal, complemented
15#45024C212yesmaximal, complemented
16#44917C212yesmaximal, complemented
17#44878C212yesmaximal, complemented
18#42964C211yesmaximal, characteristic, complemented
19#42746C212yesmaximal, complemented
20#42673C212yesmaximal, complemented
21#42563C212yesmaximal, complemented
22#42477C212yesmaximal, complemented
23#42460C212yesmaximal, complemented
24#41415C214yesmaximal, complemented
25#39477C212yesmaximal, complemented
26#39467C211yesmaximal, characteristic, complemented
27#36676C211yesmaximal, characteristic, complemented
28#35926C211yesmaximal, characteristic, complemented
29#35880C212yesmaximal, complemented
30C2×#554C2211yescharacteristic, complemented
31C2×#552C2211yescharacteristic
32C2×#551C2212yes—
33C2×#547C2212yes—
34C2×#546C2214yes—
35C2×#544C2211yescharacteristic, complemented
36C22×#121C2211yescharacteristic
37#2848C2211yescharacteristic
38#2842C2211yescharacteristic
39#2838C2214yescomplemented
40#2837C2214yescomplemented
41#2837C2214yescomplemented
42#2836C2214yescomplemented
43#2834C2211yescharacteristic
44#2834C2214yescomplemented
45#2829C2214yescomplemented
46#2827C2212yescomplemented
47#2827C2214yescomplemented
48#2827C2212yescomplemented
49#2827C2212yescomplemented
50#2826C2212yes—
51#2826C2211yescharacteristic
52#2825C2212yescomplemented
53#2822C2212yescomplemented
54#2815C2212yescomplemented
55#2814C2214yescomplemented
56#2814C2214yescomplemented
57#2812C2211yescharacteristic
58#2812C2212yes—
59#2812C2212yes—
60#2803C2214yescomplemented
61#2800C2214yescomplemented
62#2797C2214yescomplemented
63#2795C2214yescomplemented
64#2787C2214yes—
65#2781C2214yescomplemented
66#2781C2214yescomplemented
67#2780C2214yescomplemented
68#2779C2214yes—
69#2778C2214yescomplemented
70#2774C2214yescomplemented
71#2770C2214yescomplemented
72#2770C2214yescomplemented
73#2768C2214yescomplemented
74#2765C2214yescomplemented
75#2753C2214yescomplemented
76#2752C2212yescomplemented
77#2749C2214yescomplemented
78#2744C2214yescomplemented
79#2735C2214yes—
80#2735C2212yes—
81#2735C2212yes—
82#2729C2214yescomplemented
83#2728C2214yescomplemented
84#2728C2212yescomplemented
85#2724C2214yescomplemented
86#2722C2212yes—
87#2720C2214yescomplemented
88#2717C2212yes—
89#2714C2214yes—
90#2711C2214yes—
91#2711C2214yescomplemented
92#2707C2214yescomplemented
93#2707C2214yescomplemented
94#2707C2214yescomplemented
95#2707C2214yescomplemented
96#2706C2214yescomplemented
97#2704C2214yescomplemented
98#2703C2214yescomplemented
99#2701C2214yescomplemented
100#2701C2214yescomplemented
101#2699C2214yescomplemented
102#2698C2214yes—
103#2698C2214yescomplemented
104#2690C2214yescomplemented
105#2685C2214yes—
106#2683C2214yescomplemented
107#2681C2214yescomplemented
108#2681C2214yescomplemented
109#2680C2214yes—
110#2680C2214yescomplemented
111#2678C2214yes—
112#2672C2214yes—
113#2671C2214yes—
114#2667C2214yescomplemented
115#2664C2212yescomplemented
116#2661C2214yescomplemented
117#2660C2211yescharacteristic, complemented
118#2660C2212yescomplemented
119#2650C2214yescomplemented
120#2648C2214yescomplemented
121#2644C2212yescomplemented
122#2644C2214yescomplemented
123#2630C2214yescomplemented
124#2630C2214yescomplemented
125#2625C2211yescharacteristic, complemented
126#2622C2214yes—
127#2622C2214yes—
128#2621C2212yes—
129#2620C2212yescomplemented
130#2616C2214yescomplemented
131#2613C2212yes—
132#2611C2212yes—
133#2611C2214yes—
134#2611C2212yes—
135#2606C2214yescomplemented
136#2603C2212yescomplemented
137#2602C2214yescomplemented
138#2596C2214yescomplemented
139#2587C2214yescomplemented
140#2572C2212yescomplemented
141#2566C2212yescomplemented
142#2562C2212yescomplemented
143#2562C2211yescharacteristic, complemented
144#2558C2214yescomplemented
145#2556C2214yescomplemented
146#2552C2212yescomplemented
147#2552C2212yescomplemented
148#2547C2211yescharacteristic
149#2540C2212yes—
150#2538C2212yescomplemented
151#2537C2212yes—
152#2536C2212yes—
153#2531C2214yescomplemented
154#2531C2214yescomplemented
155#2527C2214yescomplemented
156#2526C2214yescomplemented
157#2526C2214yescomplemented
158#2526C2214yescomplemented
159#2526C2214yescomplemented
160#2513C2212yescomplemented
161#2510C2214yescomplemented
162#2509C2212yescomplemented
163#2507C2212yescomplemented
164#2505C2214yescomplemented
165#2502C2211yescharacteristic, complemented
166#2501C2212yes—
167#2500C2214yescomplemented
168#2496C2212yes—
169#2495C2212yes—
170#2494C2212yescomplemented
171#2491C2212yes—
172#2490C2212yes—
173#2490C2212yescomplemented
174#2489C2212yes—
175#2486C2211yescharacteristic
176#2486C2212yescomplemented
177#2485C2212yes—
178#2483C2212yes—
179#2483C2212yes—
180#2482C2212yes—
181#2480C2214yes—
182#2476C2214yescomplemented
183#2474C2214yescomplemented
184#2472C2214yes—
185#2468C2214yes—
186#2464C2214yescomplemented
187#2461C2214yes—
188#2461C2214yescomplemented
189#2452C2212yescomplemented
190#2451C2212yescomplemented
191#2448C2212yescomplemented
192#2447C2214yescomplemented
193#2442C2212yescomplemented
194#2440C2212yes—
195#2440C2212yescomplemented
196#2440C2212yescomplemented
197#2438C2214yescomplemented
198#2437C2214yes—
199#2435C2211yescharacteristic
200#2432C2214yescomplemented
201#2430C2214yes—
202#2427C2212yescomplemented
203#2426C2212yes—
204#2425C2214yes—
205#2422C2212yes—
206#2421C2212yescomplemented
207#2420C2214yescomplemented
208#2420C2212yescomplemented
209#2419C2214yescomplemented
210#2418C2214yes—
211#2417C2212yescomplemented
212#2416C2212yes—
213#2416C2212yes—
214#2416C2212yescomplemented
215#2415C2214yes—
216#2415C2212yescomplemented
217#2414C2212yes—
218#2414C2212yescomplemented
219#2414C2212yescomplemented
220#2411C2212yes—
221#2408C2211yescharacteristic
222#2408C2212yes—
223#2407C2214yescomplemented
224#2407C2214yescomplemented
225#2405C2214yes—
226#2401C2212yescomplemented
227#2397C2211yescharacteristic
228#2395C2212yes—
229#2395C2211yescharacteristic
230#2395C2214yescomplemented
231#2392C2212yes—
232#2392C2212yescomplemented
233#2392C2212yescomplemented
234#2392C2212yescomplemented
235#2369C2212yescomplemented
236#2367C2212yescomplemented
237#2361C2212yes—
238#2360C2212yescomplemented
239#2357C2212yescomplemented
240#2352C2212yescomplemented
241#2352C2212yescomplemented
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2212yescomplemented
244#2346C2212yescomplemented
245#2346C2211yescharacteristic, complemented
246#2344C2211yescharacteristic
247#2344C2212yescomplemented
248D4×C22⋊C4C2212yes—
249#2324C2212yescomplemented
250#2324C2212yescomplemented
251#2316C2212yescomplemented
252#2314C2212yescomplemented
253#2312C2214yes—
254#2309C2212yes—
255C4×#120C2211yescharacteristic
256C4×#120C2212yes—
257C2×#380C2212yes—
258#2276C2211yescharacteristic, complemented
259C22×#41C2314yes—
260C23×D4C2312yes—
261C23×D4C2311yescharacteristic
262C24×C4C2311yescharacteristic
263#554—44no—
264#552—44no—
265#551—48no—
266#547—48no—
267#546—416no—
268#544—44no—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2312yes—
271C2×C4⋊Q8C2311yescharacteristic
272C2×#126C2312yes—
273C2×#126C2314yes—
274C2×#125C2312yes—
275C2×#125C2311yescharacteristic
276C2×#125C2312yes—
277C2×#125C2312yes—
278C2×#125C2312yes—
279C2×#125C2314yes—
280C2×#124C2312yes—
281C2×#124C2314yes—
282C2×#124C2312yes—
283C2×#123C2314yes—
284C2×#123C2312yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2312yes—
290C2×#123C2314yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2311yescharacteristic
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2311yescharacteristic
298C2×C22⋊Q8C2314yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×#121—44no—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2314yes—
308C2×#121C2314yes—
309C2×#121C2314yes—
310C2×#121C2312yes—
311C2×#121C2314yes—
312C2×#121C2314yes—
313C2×#120C2311yescharacteristic
314C2×#120C2312yes—
315C2×#120C2314yes—
316C2×#120C2312yes—
317C2×C4×Q8C2311yescharacteristic
318C2×C4×Q8C2312yes—
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2314yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2314yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2314yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2311yescharacteristic
332C2×#117C2311yescharacteristic
333C2×#117C2312yes—
334C2×#117C2312yes—
335C2×#117C2312yes—
336C2×#117C2311yescharacteristic
337C2×#117C2314yes—
338C2×#117C2312yes—
339C22×C4⋊C4C2312yes—
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2312yes—
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2312yes—
344C22×C22⋊C4C2314yes—
345C22×C22⋊C4C2314yes—
346C22×C22⋊C4C2312yes—
347#401C2312yes—
348#401C2314yes—
349#400C2312yes—
350#400C2314yes—
351#400C2311yescharacteristic
352#400C2314yes—
353#400C2312yes—
354#400C2312yes—
355#400C2312yes—
356#400C2312yes—
357#400C2312yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#399C2311yescharacteristic
365#399C2312yes—
366#399C2312yes—
367#399C2311yescharacteristic
368#399C2314yes—
369#399C2311yescharacteristic
370#399C2314yes—
371#399C2314yes—
372#399C2314yes—
373#398C2312yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2312yes—
378#398C2312yes—
379#398C2311yescharacteristic
380#398C2312yes—
381#398C2312yes—
382#398C2312yes—
383#398C2314yes—
384#398C2312yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2312yes—
391#398C2314yes—
392#398C2314yes—
393#398C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2312yes—
397#398C2314yes—
398#397C2312yes—
399#397C2312yes—
400#397C2312yes—
401#397C2312yes—
402#397C2312yes—
403#397C2312yes—
404#397C2314yes—
405#397C2314yes—
406#397C2312yes—
407#397C2312yes—
408#397C2312yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2311yescharacteristic
413#397C2312yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2312yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2312yes—
435#396C2312yes—
436#396C2312yes—
437#396C2312yes—
438#396C2312yes—
439#396C2312yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2312yes—
460#394C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2312yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#393C2314yes—
495#393C2314yes—
496#392C2311yescharacteristic
497#392C2312yes—
498#392C2312yes—
499#392C2312yes—
500#392C2311yescharacteristic
501#392C2312yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#386C2312yes—
605#386C2312yes—
606#386C2312yes—
607#386C2311yescharacteristic
608#386C2312yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2312yes—
625#385C2311yescharacteristic
626#385C2312yes—
627#385C2312yes—
628#385C2312yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#384C2312yes—
648#384C2312yes—
649#384C2312yes—
650#384C2314yes—
651#383C2314yes—
652#382C2312yes—
653#382C2312yes—
654#382C2312yes—
655#382C2314yes—
656#382C2314yes—
657#381C2314yes—
658#381C2312yes—
659#381C2314yes—
660#381C2314yes—
661#381C2312yes—
662#381C2314yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2314yes—
669#380C2314yes—
670#380C2314yes—
671#380C2314yes—
672#380C2312yes—
673#380C2311yescharacteristic
674#380C2312yes—
675#380C2311yescharacteristic
676#380C2314yes—
677#380C2312yes—
678#380C2314yes—
679#380C2312yes—
680#380C2314yes—
681#380C2314yes—
682#379C2311yescharacteristic
683#379C2312yes—
684#379C2312yes—
685#379C2312yes—
686#379C2312yes—
687#379C2314yes—
688#379C2312yes—
689#379C2314yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2311yescharacteristic
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2311yescharacteristic
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714#376C2314yes—
715#376C2312yes—
716#376C2312yes—
717#376C2311yescharacteristic
718C2×#95C2314yes—
719C25C2412yes—
720C25C2411yescharacteristic
721C2×#41—48no—
722C2×#41—48no—
723C2×#41—84no—
724C22×Q8C2411yescharacteristic
725C22×Q8C2414yes—
726C22×Q8C2412yes—
727C22×D4—28no—
728C22×D4—44no—
729C22×D4—42no—
730C22×D4—44no—
731C22×D4—82no—
732C22×D4C2412yes—
733C22×D4C2414yes—
734C22×D4C2412yes—
735C22×D4C2412yes—
736C22×D4C2411yescharacteristic
737C22×D4C2412yes—
738C22×D4C2412yes—
739C22×D4C2414yes—
740C22×D4C2411yescharacteristic
741C22×D4C2412yes—
742C22×D4C2414yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2412yes—
746C23×C4—42no—
747C23×C4—44no—
748C23×C4C2412yes—
749C23×C4C2412yes—
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C23×C4C2412yes—
753C23×C4C2414yes—
754C23×C4C2414yes—
755C23×C4C2414yes—
756C23×C4C2411yescharacteristic
757C23×C4C2414yes—
758C23×C4C2414yes—
759C23×C4C2412yes—
760C23×C4C2412yes—
761C4⋊Q8—28no—
762C4⋊Q8—42no—
763C4⋊Q8—44no—
764#126—44no—
765#126—48no—
766#125—44no—
767#125—44no—
768#125—44no—
769#125—42no—
770#125—44no—
771#125—84no—
772#124—44no—
773#124—48no—
774#124—44no—
775#123—48no—
776#123—44no—
777#123—48no—
778#123—44no—
779#123—48no—
780#123—48no—
781#123—48no—
782#123—84no—
783C22⋊Q8—48no—
784C22⋊Q8—48no—
785C22⋊Q8—48no—
786C22⋊Q8—48no—
787C22⋊Q8—48no—
788C22⋊Q8—44no—
789C22⋊Q8—42no—
790C22⋊Q8—42no—
791C22⋊Q8—44no—
792C22⋊Q8—84no—
793C22⋊Q8—84no—
794#121—28no—
795#121—48no—
796#121—48no—
797#121—48no—
798#121—44no—
799#121—44no—
800#121—44no—
801#121—44no—
802#121—48no—
803#121—84no—
804#120—28no—
805#120—24no—
806#120—48no—
807#120—82no—
808C4×Q8—24no—
809C4×Q8—44no—
810C4×D4—44no—
811C4×D4—44no—
812C4×D4—44no—
813C4×D4—44no—
814C4×D4—44no—
815C4×D4—44no—
816C4×D4—44no—
817C4×D4—42no—
818C4×D4—44no—
819C4×D4—42no—
820C4×D4—48no—
821C4×D4—48no—
822C4×D4—48no—
823#117—24no—
824#117—44no—
825#117—42no—
826#117—44no—
827#117—48no—
828#117—44no—
829#117—82no—
830C2×C4⋊C4—24no—
831C2×C4⋊C4—28no—
832C2×C4⋊C4—44no—
833C2×C4⋊C4—42no—
834C2×C4⋊C4—44no—
835C2×C4⋊C4C2412yes—
836C2×C4⋊C4C2412yes—
837C2×C4⋊C4C2412yes—
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C22⋊C4—216no—
894C2×C22⋊C4—44no—
895C2×C22⋊C4—48no—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2412yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2411yescharacteristic
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2411yescharacteristic
911C2×C22⋊C4C2411yescharacteristic
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2411yescharacteristic
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C42C2412yes—
964C2×C42C2412yes—
965C2×C42C2412yes—
966C2×C42C2412yes—
967C2×C42C2412yes—
968C2×C42C2411yescharacteristic
969C2×C42C2412yes—
970C2×C42C2412yes—
971C2×C42C2414yes—
972C2×C42C2414yes—
973C2×C42C2414yes—
974C2×C42C2414yes—
975C2×C42C2414yes—
976C2×C42C2414yes—
977C2×C42C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2411yescharacteristic
983#95C2412yes—
984#95C2411yescharacteristic
985#95C2412yes—
986#95C2414yes—
987#95C2412yes—
988#95C2411yescharacteristic
989#95C2414yes—
990#95C2412yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2414yes—
998#95C2414yes—
999#95C2411yescharacteristic
1000#95C2414yes—
1001#95C2412yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2414yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2414yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035C24—24no—
1036C24—41no—
1037C24—42no—
1038C24—41no—
1039C24—42no—
1040C24—42no—
1041C24—44no—
1042C24—44no—
1043C24—42no—
1044C24H(5,𝔽2)14yes—
1045C24C2514yes—
1046C24C2511yescharacteristic
1047C24C2512yes—
1048C24C2511yescharacteristic
1049C24C2512yes—
1050#41—832no—
1051C2×Q8—22no—
1052C2×Q8—28no—
1053C2×Q8—24no—
1054C2×Q8—44no—
1055C2×Q8—44no—
1056C2×Q8—42no—
1057C2×Q8—42no—
1058C2×Q8—42no—
1059C2×D4—24no—
1060C2×D4—24no—
1061C2×D4—28no—
1062C2×D4—24no—
1063C2×D4—24no—
1064C2×D4—22no—
1065C2×D4—28no—
1066C2×D4—24no—
1067C2×D4—28no—
1068C2×D4—24no—
1069C2×D4—24no—
1070C2×D4—41no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—44no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—41no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—44no—
1083C2×D4—41no—
1084C2×D4—44no—
1085C2×D4—42no—
1086C2×D4—44no—
1087C2×D4—42no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—816no—
1100C2×D4—88no—
1101C22×C4—24no—
1102C22×C4—28no—
1103C22×C4—28no—
1104C22×C4—24no—
1105C22×C4—24no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—24no—
1109C22×C4—24no—
1110C22×C4—24no—
1111C22×C4—24no—
1112C22×C4—24no—
1113C22×C4—24no—
1114C22×C4—24no—
1115C22×C4—28no—
1116C22×C4—42no—
1117C22×C4—41no—
1118C22×C4—44no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—44no—
1122C22×C4—44no—
1123C22×C4—42no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—44no—
1127C22×C4—42no—
1128C22×C4—42no—
1129C22×C4—42no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—44no—
1135C22×C4—42no—
1136C22×C4—44no—
1137C22×C4—88no—
1138C22×C4C2511yescharacteristic
1139C22×C4C2512yes—
1140C22×C4C2514yes—
1141C22×C4C2511yescharacteristic
1142C22×C4C2512yes—
1143C22×C4C2514yes—
1144C22×C4C2514yes—
1145C22×C4C2512yes—
1146C22×C4C2512yes—
1147C22×C4C2512yes—
1148C22×C4C2512yes—
1149C22×C4C2512yes—
1150C22×C4C2512yes—
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2511yescharacteristic
1155C22×C4C2512yes—
1156C22×C4C2514yes—
1157C22×C4C2514yes—
1158C22×C4C2511yescharacteristic
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2511yescharacteristic
1162C4⋊C4—24no—
1163C4⋊C4—22no—
1164C4⋊C4—24no—
1165C4⋊C4—28no—
1166C4⋊C4—24no—
1167C4⋊C4—22no—
1168C4⋊C4—24no—
1169C4⋊C4—28no—
1170C4⋊C4—24no—
1171C4⋊C4—24no—
1172C4⋊C4—24no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—42no—
1176C4⋊C4—42no—
1177C4⋊C4—42no—
1178C4⋊C4—44no—
1179C4⋊C4—42no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—44no—
1184C4⋊C4—42no—
1185C4⋊C4—44no—
1186C4⋊C4—41no—
1187C4⋊C4—42no—
1188C4⋊C4—41no—
1189C4⋊C4—44no—
1190C4⋊C4—42no—
1191C4⋊C4—42no—
1192C4⋊C4—42no—
1193C4⋊C4—42no—
1194C4⋊C4—44no—
1195C4⋊C4—42no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—42no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—42no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—42no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—42no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—42no—
1219C4⋊C4H(5,𝔽2)14yes—
1220C22⋊C4—28no—
1221C22⋊C4—28no—
1222C22⋊C4—28no—
1223C22⋊C4—28no—
1224C22⋊C4—24no—
1225C22⋊C4—24no—
1226C22⋊C4—24no—
1227C22⋊C4—24no—
1228C22⋊C4—22no—
1229C22⋊C4—28no—
1230C22⋊C4—24no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—44no—
1249C22⋊C4—41no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—41no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—44no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—41no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—44no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C42—24no—
1288C42—24no—
1289C42—24no—
1290C42—22no—
1291C42—24no—
1292C42—24no—
1293C42—24no—
1294C42—44no—
1295C42—44no—
1296C42—44no—
1297C42—42no—
1298C42—44no—
1299C42—44no—
1300C42—44no—
1301C42—44no—
1302C23—21no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—21no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—21no—
1313C23—24no—
1314C23—21no—
1315C23—22no—
1316C23—24no—
1317C23—22no—
1318C23—22no—
1319C23—24no—
1320C23—22no—
1321C23—22no—
1322C23—24no—
1323C23—22no—
1324C23—24no—
1325C23—21no—
1326C23—24no—
1327C23—22no—
1328C23—24no—
1329C23—22no—
1330C23—22no—
1331C23—44no—
1332C23—48no—
1333C23—84no—
1334C23—88no—
1335C23—82no—
1336C23—82no—
1337C23—84no—
1338C23—84no—
1339C23—84no—
1340C23—164no—
1341C23C2×H(5,𝔽2)12yes—
1342C23C2×H(5,𝔽2)14yes—
1343C23C2611yescharacteristic
1344Q8—44no—
1345Q8—88no—
1346Q8—162no—
1347D4—416no—
1348D4—48no—
1349D4—48no—
1350D4—48no—
1351D4—44no—
1352D4—48no—
1353D4—82no—
1354D4—84no—
1355D4—88no—
1356D4—84no—
1357D4—84no—
1358D4—88no—
1359D4—164no—
1360D4—164no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—21no—
1369C2×C4—22no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—21no—
1374C2×C4—24no—
1375C2×C4—22no—
1376C2×C4—24no—
1377C2×C4—22no—
1378C2×C4—24no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—24no—
1383C2×C4—22no—
1384C2×C4—24no—
1385C2×C4—21no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—24no—
1394C2×C4—24no—
1395C2×C4—24no—
1396C2×C4—24no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—24no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—24no—
1409C2×C4—24no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—24no—
1414C2×C4—24no—
1415C2×C4—24no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—48no—
1425C2×C4—48no—
1426C2×C4—44no—
1427C2×C4—48no—
1428C2×C4—44no—
1429C2×C4—88no—
1430C2×C4—88no—
1431C2×C4—88no—
1432C2×C4—82no—
1433C2×C4—84no—
1434C2×C4—88no—
1435C2×C4—162no—
1436C2×C4—164no—
1437C2×C4C2×H(5,𝔽2)14yes—
1438C2×C4C2×H(5,𝔽2)12yes—
1439C2×C4#58514yes—
1440C22—22no—
1441C22—24no—
1442C22—24no—
1443C22—24no—
1444C22—24no—
1445C22—42no—
1446C22—41no—
1447C22—42no—
1448C22—41no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—41no—
1453C22—42no—
1454C22—44no—
1455C22—42no—
1456C22—41no—
1457C22—44no—
1458C22—42no—
1459C22—42no—
1460C22—44no—
1461C22—42no—
1462C22—44no—
1463C22—42no—
1464C22—44no—
1465C22—41no—
1466C22—44no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—44no—
1471C22—88no—
1472C22—168no—
1473C22C22×H(5,𝔽2)11yescharacteristic
1474C22C22×H(5,𝔽2)11yescharacteristic
1475C22C2×#58512yes—
1476C22H(7,𝔽2)11yescharacteristic
1477C222−1+612yes—
1478C4—24no—
1479C4—41no—
1480C4—42no—
1481C4—42no—
1482C4—41no—
1483C4—42no—
1484C4—42no—
1485C4—42no—
1486C4—41no—
1487C4—42no—
1488C4—42no—
1489C4—42no—
1490C4—44no—
1491C4—42no—
1492C4—44no—
1493C4—42no—
1494C4—44no—
1495C4—41no—
1496C4—44no—
1497C4—44no—
1498C4—42no—
1499C4—42no—
1500C4—42no—
1501C4#355114yes—
1502C2—44no—
1503C2—42no—
1504C2—82no—
1505C2—81no—
1506C2—84no—
1507C2C2×#355111yescharacteristic
1508C2#6289211yescharacteristic
1509C2#6290112yes—
1510C2#6304411yescharacteristic
1511C2#6306512yes—
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. #59198C2semidirect
2. #59015C2semidirect
3. #58146C2semidirect
4. #57882C2semidirect
5. #57231C2semidirect
6. #56568C2semidirect
7. #56305C2semidirect
8. #53103C2semidirect
9. #52999C2semidirect
10. #52717C2semidirect
11. #52520C2semidirect
12. #47195C2semidirect
13. #45214C2semidirect
14. #45052C2semidirect
15. #45024C2semidirect
16. #44917C2semidirect
17. #44878C2semidirect
18. #42964C2semidirect
19. #42746C2semidirect
20. #42673C2semidirect
21. #42563C2semidirect
22. #42477C2semidirect
23. #42460C2semidirect
24. #41415C2semidirect
25. #39477C2semidirect
26. #39467C2semidirect
27. #36676C2semidirect
28. #35926C2semidirect
29. #35880C2semidirect
30. C2×#554C22semidirect
35. C2×#544C22semidirect
39. #2838C22semidirect
40. #2837C22semidirect
41. #2837C22semidirect
42. #2836C22semidirect
44. #2834C22semidirect
45. #2829C22semidirect
46. #2827C22semidirect
47. #2827C22semidirect
48. #2827C22semidirect
49. #2827C22semidirect
52. #2825C22semidirect
53. #2822C22semidirect
54. #2815C22semidirect
55. #2814C22semidirect
56. #2814C22semidirect
60. #2803C22semidirect
61. #2800C22semidirect
62. #2797C22semidirect
63. #2795C22semidirect
65. #2781C22semidirect
66. #2781C22semidirect
67. #2780C22semidirect
69. #2778C22semidirect
70. #2774C22semidirect
71. #2770C22semidirect
72. #2770C22semidirect
73. #2768C22semidirect
74. #2765C22semidirect
75. #2753C22semidirect
76. #2752C22semidirect
77. #2749C22semidirect
78. #2744C22semidirect
82. #2729C22semidirect
83. #2728C22semidirect
84. #2728C22semidirect
85. #2724C22semidirect
87. #2720C22semidirect
91. #2711C22semidirect
92. #2707C22semidirect
93. #2707C22semidirect
94. #2707C22semidirect
95. #2707C22semidirect
96. #2706C22semidirect
97. #2704C22semidirect
98. #2703C22semidirect
99. #2701C22semidirect
100. #2701C22semidirect
101. #2699C22semidirect
103. #2698C22semidirect
104. #2690C22semidirect
106. #2683C22semidirect
107. #2681C22semidirect
108. #2681C22semidirect
110. #2680C22semidirect
114. #2667C22semidirect
115. #2664C22semidirect
116. #2661C22semidirect
117. #2660C22semidirect
118. #2660C22semidirect
119. #2650C22semidirect
120. #2648C22semidirect
121. #2644C22semidirect
122. #2644C22semidirect
123. #2630C22semidirect
124. #2630C22semidirect
125. #2625C22semidirect
129. #2620C22semidirect
130. #2616C22semidirect
135. #2606C22semidirect
136. #2603C22semidirect
137. #2602C22semidirect
138. #2596C22semidirect
139. #2587C22semidirect
140. #2572C22semidirect
141. #2566C22semidirect
142. #2562C22semidirect
143. #2562C22semidirect
144. #2558C22semidirect
145. #2556C22semidirect
146. #2552C22semidirect
147. #2552C22semidirect
150. #2538C22semidirect
153. #2531C22semidirect
154. #2531C22semidirect
155. #2527C22semidirect
156. #2526C22semidirect
157. #2526C22semidirect
158. #2526C22semidirect
159. #2526C22semidirect
160. #2513C22semidirect
161. #2510C22semidirect
162. #2509C22semidirect
163. #2507C22semidirect
164. #2505C22semidirect
165. #2502C22semidirect
167. #2500C22semidirect
170. #2494C22semidirect
173. #2490C22semidirect
176. #2486C22semidirect
182. #2476C22semidirect
183. #2474C22semidirect
186. #2464C22semidirect
188. #2461C22semidirect
189. #2452C22semidirect
190. #2451C22semidirect
191. #2448C22semidirect
192. #2447C22semidirect
193. #2442C22semidirect
195. #2440C22semidirect
196. #2440C22semidirect
197. #2438C22semidirect
200. #2432C22semidirect
202. #2427C22semidirect
206. #2421C22semidirect
207. #2420C22semidirect
208. #2420C22semidirect
209. #2419C22semidirect
211. #2417C22semidirect
214. #2416C22semidirect
216. #2415C22semidirect
218. #2414C22semidirect
219. #2414C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
226. #2401C22semidirect
230. #2395C22semidirect
232. #2392C22semidirect
233. #2392C22semidirect
234. #2392C22semidirect
235. #2369C22semidirect
236. #2367C22semidirect
238. #2360C22semidirect
239. #2357C22semidirect
240. #2352C22semidirect
241. #2352C22semidirect
243. D4×C4⋊C4C22semidirect
244. #2346C22semidirect
245. #2346C22semidirect
247. #2344C22semidirect
249. #2324C22semidirect
250. #2324C22semidirect
251. #2316C22semidirect
252. #2314C22semidirect
258. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#591982
#590152
#581462
#578822
#572312
#565682
#563052
#531032
#529992
#527172
#525202
#471952
#452142
#450522
#450242
#449172
#448782
#429642
#427462
#426732
#425632
#424772
#424602
#414152
#394772
#394672
#366762
#359262
#358802