Finite Group Databasebeta

← #7764809

Subgroups — #7764809

Order 512.

4779 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59631C211yesmaximal, characteristic, complemented
2#59298C212yesmaximal, complemented
3#59219C212yesmaximal, complemented
4#59198C211yesmaximal, characteristic, complemented
5#59116C212yesmaximal, complemented
6#49356C214yesmaximal, complemented
7#48949C212yesmaximal, complemented
8#48773C212yesmaximal
9#47420C214yesmaximal, complemented
10#47151C212yesmaximal, complemented
11#46999C212yesmaximal, complemented
12#45700C212yesmaximal, complemented
13#45684C211yesmaximal, characteristic, complemented
14#45493C211yesmaximal, characteristic, complemented
15#44682C214yesmaximal, complemented
16#41769C212yesmaximal, complemented
17#41604C212yesmaximal, complemented
18#40195C212yesmaximal, complemented
19#39935C212yesmaximal, complemented
20#39924C212yesmaximal, complemented
21#39477C212yesmaximal, complemented
22#39028C212yesmaximal, complemented
23#38520C214yesmaximal, complemented
24#37057C212yesmaximal, complemented
25#36234C212yesmaximal, complemented
26#36207C212yesmaximal, complemented
27#36156C212yesmaximal, complemented
28#35240C211yesmaximal, characteristic, complemented
29#34809C211yesmaximal, characteristic, complemented
30#34508C212yesmaximal, complemented
31C4×#534C211yesmaximal, characteristic
32C2×#552C2212yes—
33C2×#551C2212yes—
34C2×#534C2211yescharacteristic
35C2×#533C2211yescharacteristic, complemented
36C22×C4×D4C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C22×#117C2211yescharacteristic, complemented
39#2855C2212yescomplemented
40#2851C2212yescomplemented
41#2851C2212yescomplemented
42#2851C2214yescomplemented
43#2848C2212yes—
44#2848C2212yescomplemented
45#2848C2212yescomplemented
46#2842C2212yescomplemented
47#2839C2214yescomplemented
48#2834C2212yescomplemented
49#2807C2212yescomplemented
50#2794C2214yescomplemented
51#2791C2214yescomplemented
52#2790C2214yescomplemented
53#2787C2214yescomplemented
54#2783C2214yescomplemented
55#2781C2214yescomplemented
56#2780C2214yescomplemented
57#2779C2214yes—
58#2774C2214yescomplemented
59#2771C2214yescomplemented
60#2771C2212yescomplemented
61#2771C2212yescomplemented
62#2770C2214yescomplemented
63#2770C2214yescomplemented
64#2768C2214yescomplemented
65#2765C2214yescomplemented
66#2765C2214yescomplemented
67#2765C2214yescomplemented
68#2765C2214yescomplemented
69#2762C2214yescomplemented
70#2761C2214yescomplemented
71#2761C2214yescomplemented
72#2750C2214yescomplemented
73#2748C2212yes—
74#2747C2214yescomplemented
75#2747C2214yescomplemented
76#2744C2214yescomplemented
77#2743C2214yes—
78#2743C2214yes—
79#2743C2214yescomplemented
80#2743C2214yescomplemented
81#2740C2214yescomplemented
82#2735C2214yescomplemented
83#2724C2212yes—
84#2722C2212yescomplemented
85#2718C2214yes—
86#2717C2212yes—
87#2717C2212yes—
88#2708C2214yes—
89#2697C2214yes—
90#2689C2214yescomplemented
91#2680C2214yes—
92#2672C2214yes—
93#2654C2214yescomplemented
94#2654C2214yescomplemented
95#2652C2214yescomplemented
96#2649C2214yes—
97#2633C2212yes—
98#2633C2212yescomplemented
99#2622C2214yes—
100#2611C2214yescomplemented
101#2609C2214yescomplemented
102#2596C2214yescomplemented
103#2587C2214yescomplemented
104#2585C2214yescomplemented
105#2576C2214yescomplemented
106#2575C2214yescomplemented
107#2575C2214yescomplemented
108#2575C2214yescomplemented
109#2571C2212yescomplemented
110#2570C2214yescomplemented
111#2562C2212yescomplemented
112#2562C2212yescomplemented
113#2550C2212yescomplemented
114#2547C2211yescharacteristic
115#2547C2211yescharacteristic, complemented
116#2542C2211yescharacteristic
117#2542C2211yescharacteristic, complemented
118#2538C2212yescomplemented
119#2536C2212yes—
120#2536C2212yescomplemented
121#2536C2212yescomplemented
122#2533C2214yescomplemented
123#2528C2214yescomplemented
124#2522C2214yescomplemented
125#2517C2212yescomplemented
126#2517C2214yescomplemented
127#2515C2214yescomplemented
128#2515C2214yescomplemented
129#2510C2214yescomplemented
130#2509C2212yescomplemented
131#2508C2212yescomplemented
132#2507C2214yescomplemented
133#2506C2214yescomplemented
134#2505C2214yescomplemented
135#2505C2214yescomplemented
136#2502C2212yescomplemented
137#2499C2212yescomplemented
138#2497C2212yescomplemented
139#2497C2212yescomplemented
140#2496C2212yescomplemented
141#2495C2212yescomplemented
142#2494C2214yescomplemented
143#2494C2212yescomplemented
144#2494C2212yescomplemented
145#2489C2212yescomplemented
146#2489C2212yescomplemented
147#2487C2211yescharacteristic
148#2487C2211yescharacteristic, complemented
149#2486C2211yescharacteristic
150#2486C2212yescomplemented
151#2486C2212yescomplemented
152#2486C2211yescharacteristic, complemented
153#2485C2212yes—
154#2485C2212yes—
155#2485C2212yescomplemented
156#2484C2212yescomplemented
157#2483C2212yescomplemented
158#2483C2212yescomplemented
159#2482C2212yes—
160#2482C2212yes—
161#2482C2214yes—
162#2482C2212yescomplemented
163#2480C2214yes—
164#2480C2214yes—
165#2480C2214yescomplemented
166#2478C2214yescomplemented
167#2478C2214yescomplemented
168#2476C2214yes—
169#2475C2214yescomplemented
170#2474C2214yescomplemented
171#2473C2214yescomplemented
172#2470C2214yes—
173#2470C2214yes—
174#2470C2214yes—
175#2470C2214yescomplemented
176#2470C2214yescomplemented
177#2470C2214yescomplemented
178#2468C2214yes—
179#2462C2214yescomplemented
180#2460C2214yescomplemented
181#2453C2212yescomplemented
182#2446C2212yescomplemented
183#2442C2212yescomplemented
184#2442C2212yescomplemented
185#2441C2212yescomplemented
186#2441C2212yescomplemented
187#2440C2212yescomplemented
188#2438C2214yescomplemented
189#2435C2212yes—
190#2429C2212yescomplemented
191#2423C2212yescomplemented
192#2422C2214yes—
193#2421C2212yescomplemented
194#2421C2212yescomplemented
195#2419C2214yes—
196#2419C2214yescomplemented
197#2418C2214yes—
198#2417C2212yescomplemented
199#2417C2212yescomplemented
200#2417C2212yescomplemented
201#2415C2212yes—
202#2415C2212yescomplemented
203#2405C2212yes—
204#2405C2214yes—
205#2395C2212yes—
206#2395C2212yescomplemented
207#2379C2212yes—
208#2376C2214yescomplemented
209#2375C2212yes—
210#2374C2212yes—
211#2373C2214yescomplemented
212#2370C2212yescomplemented
213#2362C2212yescomplemented
214#2362C2212yescomplemented
215#2362C2214yescomplemented
216#2360C2212yescomplemented
217#2360C2212yescomplemented
218#2359C2214yescomplemented
219#2357C2214yescomplemented
220#2352C2212yes—
221#2352C2212yescomplemented
222Q8×C4⋊C4C2212yescomplemented
223D4×C4⋊C4C2212yescomplemented
224#2346C2212yescomplemented
225#2346C2214yescomplemented
226#2344C2212yescomplemented
227#2343C2214yescomplemented
228#2342C2214yescomplemented
229#2335C2214yescomplemented
230#2334C2214yescomplemented
231#2332C2214yescomplemented
232#2326C2212yes—
233#2326C2212yescomplemented
234#2325C2212yes—
235#2325C2212yes—
236#2322C2211yescharacteristic
237#2322C2212yes—
238#2322C2211yescharacteristic
239#2321C2211yescharacteristic
240#2321C2211yescharacteristic
241#2321C2212yes—
242#2315C2211yescharacteristic
243#2314C2214yescomplemented
244#2312C2214yescomplemented
245#2308C2211yescharacteristic
246#2308C2211yescharacteristic
247C4×C22⋊Q8C2212yescomplemented
248C4×C22⋊Q8C2212yescomplemented
249C4×#123C2211yescharacteristic
250C4×#123C2211yescharacteristic
251C4×#123C2212yes—
252C4×#123C2212yes—
253C4×#123C2212yescomplemented
254C4×#121C2212yes—
255C4×#121C2212yes—
256C4×#120C2211yescharacteristic
257C4×#120C2211yescharacteristic
258C4×#120C2212yes—
259#2296C2212yescomplemented
260#2290C2214yescomplemented
261#2285C2212yescomplemented
262#2283C2211yescharacteristic, complemented
263#2280C2212yes—
264#2280C2211yescharacteristic, complemented
265C2×#380C2212yescomplemented
266C2×C4×C22⋊C4C2211yescharacteristic
267C23×D4C2311yescharacteristic
268C23×D4C2311yescharacteristic
269C24×C4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271C24×C4C2311yescharacteristic
272#552—48no—
273#551—216no—
274#534—28no—
275#533—44no—
276C2×C4⋊Q8C2311yescharacteristic
277C2×C4⋊Q8C2311yescharacteristic
278C2×#126C2314yes—
279C2×#126C2314yes—
280C2×#125C2312yes—
281C2×#125C2312yes—
282C2×#125C2314yes—
283C2×#125C2312yes—
284C2×#124C2312yes—
285C2×#124C2312yes—
286C2×#123C2312yes—
287C2×#123C2311yescharacteristic
288C2×#123C2311yescharacteristic
289C2×#123C2314yes—
290C2×#123C2312yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2312yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#120C2311yescharacteristic
306C2×#120C2312yes—
307C2×#120C2311yescharacteristic
308C2×C4×Q8C2312yes—
309C2×C4×Q8C2312yes—
310C2×C4×Q8C2312yes—
311C2×C4×Q8C2312yes—
312C2×C4×D4—44no—
313C2×C4×D4—44no—
314C2×C4×D4C2314yes—
315C2×C4×D4C2312yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2312yes—
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2312yes—
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2312yes—
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2312yes—
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2311yescharacteristic
329C2×#117—44no—
330C2×#117C2314yes—
331C2×#117C2312yes—
332C2×#117C2314yes—
333C2×#117C2314yes—
334C2×#117C2312yes—
335C2×#117C2312yes—
336C2×#117C2312yes—
337C2×#117C2312yes—
338C2×#117C2312yes—
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2312yes—
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2312yes—
344C22×C4⋊C4C2311yescharacteristic
345C22×C22⋊C4C2314yes—
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2312yes—
353C22×C42C2311yescharacteristic
354C22×C42C2312yes—
355C22×C42C2311yescharacteristic
356C22×C42C2312yes—
357#401C2314yes—
358#401C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2312yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#399C2312yes—
381#399C2314yes—
382#399C2312yes—
383#399C2312yes—
384#399C2314yes—
385#399C2314yes—
386#399C2312yes—
387#399C2312yes—
388#399C2312yes—
389#398C2312yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2312yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2312yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#395C2314yes—
442#395C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#391C2312yes—
454#391C2312yes—
455#391C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#390C2312yes—
461#390C2312yes—
462#390C2312yes—
463#390C2312yes—
464#390C2314yes—
465#389C2314yes—
466#389C2314yes—
467#389C2314yes—
468#389C2312yes—
469#389C2312yes—
470#389C2312yes—
471#389C2312yes—
472#389C2314yes—
473#389C2314yes—
474#389C2314yes—
475#389C2314yes—
476#389C2314yes—
477#389C2314yes—
478#389C2314yes—
479#389C2312yes—
480#389C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2314yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2314yes—
488#389C2314yes—
489#389C2314yes—
490#389C2314yes—
491#389C2314yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2312yes—
507#388C2314yes—
508#388C2314yes—
509#388C2312yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2312yes—
518#388C2312yes—
519#388C2312yes—
520#388C2312yes—
521#388C2312yes—
522#388C2312yes—
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#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2312yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2312yes—
558#387C2312yes—
559#387C2312yes—
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#386C2311yescharacteristic
580#386C2311yescharacteristic
581#386C2312yes—
582#386C2311yescharacteristic
583#386C2312yes—
584#386C2311yescharacteristic
585#386C2312yes—
586#386C2312yes—
587#386C2312yes—
588#386C2312yes—
589#386C2312yes—
590#386C2314yes—
591#386C2312yes—
592#386C2312yes—
593#386C2312yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2312yes—
599#386C2312yes—
600#385C2311yescharacteristic
601#385C2311yescharacteristic
602#385C2312yes—
603#385C2311yescharacteristic
604#385C2312yes—
605#385C2311yescharacteristic
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2312yes—
611#385C2312yes—
612#385C2312yes—
613#385C2312yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2312yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2312yes—
637#384C2312yes—
638#384C2312yes—
639#384C2312yes—
640#384C2312yes—
641#384C2314yes—
642#383C2314yes—
643#383C2312yes—
644#382C2314yes—
645#382C2314yes—
646#382C2314yes—
647#382C2314yes—
648#382C2312yes—
649#382C2312yes—
650#382C2314yes—
651#382C2314yes—
652#382C2312yes—
653#381C2312yes—
654#381C2311yescharacteristic
655#381C2311yescharacteristic
656#381C2312yes—
657#381C2314yes—
658#381C2314yes—
659#381C2314yes—
660#381C2314yes—
661#381C2314yes—
662#381C2312yes—
663#381C2312yes—
664#381C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2314yes—
673#380C2314yes—
674#380C2314yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2314yes—
682#380C2314yes—
683#380C2312yes—
684#380C2314yes—
685#380C2314yes—
686#380C2314yes—
687#380C2312yes—
688#380C2312yes—
689#380C2311yescharacteristic
690#380C2311yescharacteristic
691#379C2311yescharacteristic
692#379C2311yescharacteristic
693#379C2312yes—
694#379C2314yes—
695#379C2314yes—
696#379C2314yes—
697#379C2314yes—
698#379C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2314yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2311yescharacteristic
724C4×C22⋊C4C2311yescharacteristic
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2311yescharacteristic
736C4×C22⋊C4C2311yescharacteristic
737#376C2312yes—
738#376C2314yes—
739C2×#95C2312yes—
740C2×#95C2314yes—
741C25C2411yescharacteristic
742C25C2411yescharacteristic
743C25C2411yescharacteristic
744C22×Q8C2412yes—
745C22×Q8C2412yes—
746C22×D4—24no—
747C22×D4—24no—
748C22×D4—42no—
749C22×D4—42no—
750C22×D4—42no—
751C22×D4—42no—
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2411yescharacteristic
755C22×D4C2411yescharacteristic
756C22×D4C2411yescharacteristic
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2411yescharacteristic
760C23×C4—24no—
761C23×C4—24no—
762C23×C4—44no—
763C23×C4—42no—
764C23×C4—44no—
765C23×C4—44no—
766C23×C4C2411yescharacteristic
767C23×C4C2412yes—
768C23×C4C2411yescharacteristic
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773C23×C4C2411yescharacteristic
774C23×C4C2411yescharacteristic
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2412yes—
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2412yes—
789C23×C4C2412yes—
790C4⋊Q8—42no—
791C4⋊Q8—42no—
792#126—216no—
793#126—48no—
794#125—44no—
795#125—44no—
796#125—48no—
797#125—44no—
798#124—28no—
799#124—44no—
800#123—24no—
801#123—216no—
802#123—28no—
803#123—28no—
804#123—24no—
805#123—44no—
806#123—48no—
807#123—48no—
808C22⋊Q8—28no—
809C22⋊Q8—216no—
810C22⋊Q8—44no—
811C22⋊Q8—44no—
812C22⋊Q8—44no—
813C22⋊Q8—44no—
814C22⋊Q8—44no—
815C22⋊Q8—44no—
816C22⋊Q8—44no—
817#121—28no—
818#121—28no—
819#120—24no—
820#120—28no—
821#120#4118yes—
822C4×Q8—44no—
823C4×Q8—44no—
824C4×Q8—44no—
825C4×Q8—44no—
826C4×D4—216no—
827C4×D4—28no—
828C4×D4—42no—
829C4×D4—42no—
830C4×D4—42no—
831C4×D4—42no—
832C4×D4—42no—
833C4×D4—42no—
834C4×D4—42no—
835C4×D4—42no—
836C4×D4—44no—
837C4×D4—44no—
838C4×D4—44no—
839C4×D4—44no—
840C4×D4—44no—
841#117—28no—
842#117—216no—
843#117—44no—
844#117—48no—
845#117—44no—
846#117—48no—
847#117—44no—
848#117—44no—
849#117—44no—
850C2×C4⋊C4—44no—
851C2×C4⋊C4—42no—
852C2×C4⋊C4—42no—
853C2×C4⋊C4—42no—
854C2×C4⋊C4—44no—
855C2×C4⋊C4—42no—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C22⋊C4—216no—
913C2×C22⋊C4—24no—
914C2×C22⋊C4—42no—
915C2×C22⋊C4—44no—
916C2×C22⋊C4—42no—
917C2×C22⋊C4—42no—
918C2×C22⋊C4—42no—
919C2×C22⋊C4—42no—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2411yescharacteristic
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2411yescharacteristic
939C2×C22⋊C4C2411yescharacteristic
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2411yescharacteristic
943C2×C22⋊C4C2411yescharacteristic
944C2×C22⋊C4C2411yescharacteristic
945C2×C22⋊C4C2411yescharacteristic
946C2×C22⋊C4C2411yescharacteristic
947C2×C22⋊C4C2411yescharacteristic
948C2×C22⋊C4C2411yescharacteristic
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2411yescharacteristic
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2412yes—
976C2×C42—24no—
977C2×C42—44no—
978C2×C42—42no—
979C2×C42—44no—
980C2×C42C2414yes—
981C2×C42C2412yes—
982C2×C42C2414yes—
983C2×C42C2411yescharacteristic
984C2×C42C2411yescharacteristic
985C2×C42C2412yes—
986C2×C42C2411yescharacteristic
987C2×C42C2411yescharacteristic
988C2×C42C2412yes—
989C2×C42C2412yes—
990C2×C42C2414yes—
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2414yes—
994C2×C42C2414yes—
995C2×C42C2414yes—
996C2×C42C2412yes—
997C2×C42C2414yes—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2414yes—
1001C2×C42C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2412yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2412yes—
1022#95C2414yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2414yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066C24—22no—
1067C24—22no—
1068C24—22no—
1069C24—22no—
1070C24—22no—
1071C24—41no—
1072C24—42no—
1073C24—42no—
1074C24—41no—
1075C24—41no—
1076C24—42no—
1077C24—42no—
1078C24—42no—
1079C24—42no—
1080C24C2×#4114yes—
1081C24C2511yescharacteristic
1082C24C2511yescharacteristic
1083C24C2512yes—
1084C24C2511yescharacteristic
1085C24C2511yescharacteristic
1086C24C2511yescharacteristic
1087C2×Q8—24no—
1088C2×Q8—24no—
1089C2×Q8—24no—
1090C2×Q8—24no—
1091C2×Q8—42no—
1092C2×Q8—42no—
1093C2×D4—24no—
1094C2×D4—22no—
1095C2×D4—22no—
1096C2×D4—24no—
1097C2×D4—24no—
1098C2×D4—22no—
1099C2×D4—24no—
1100C2×D4—22no—
1101C2×D4—24no—
1102C2×D4—22no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—41no—
1110C2×D4—42no—
1111C2×D4—41no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—416no—
1116C2×D4—416no—
1117C2×D4C2×#4118yes—
1118C2×D4C2×#4114yes—
1119C22×C4—24no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—24no—
1125C22×C4—28no—
1126C22×C4—28no—
1127C22×C4—24no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—24no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—24no—
1138C22×C4—24no—
1139C22×C4—24no—
1140C22×C4—24no—
1141C22×C4—24no—
1142C22×C4—24no—
1143C22×C4—24no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—41no—
1147C22×C4—42no—
1148C22×C4—42no—
1149C22×C4—42no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—41no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—42no—
1163C22×C4—44no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—416no—
1176C22×C4—88no—
1177C22×C4—88no—
1178C22×C4H(5,𝔽2)14yes—
1179C22×C4C2512yes—
1180C22×C4C2511yescharacteristic
1181C22×C4C2512yes—
1182C22×C4C2514yes—
1183C22×C4C2514yes—
1184C22×C4C2512yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2512yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C22×C4C2514yes—
1190C22×C4C2514yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2514yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2514yes—
1198C22×C4C2514yes—
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C4⋊C4—28no—
1205C4⋊C4—28no—
1206C4⋊C4—28no—
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—28no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—28no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—24no—
1218C4⋊C4—24no—
1219C4⋊C4—44no—
1220C4⋊C4—42no—
1221C4⋊C4—42no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—42no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C22⋊C4—28no—
1261C22⋊C4—22no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—28no—
1266C22⋊C4—24no—
1267C22⋊C4—24no—
1268C22⋊C4—24no—
1269C22⋊C4—28no—
1270C22⋊C4—24no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—41no—
1278C22⋊C4—42no—
1279C22⋊C4—41no—
1280C22⋊C4—44no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4C2×#4114yes—
1315C22⋊C4C2×#4118yes—
1316C42—24no—
1317C42—28no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—28no—
1323C42—24no—
1324C42—24no—
1325C42—24no—
1326C42—42no—
1327C42—42no—
1328C42—44no—
1329C42—42no—
1330C42—44no—
1331C42—44no—
1332C42—44no—
1333C42—44no—
1334C42—44no—
1335C42—44no—
1336C42—44no—
1337C42—42no—
1338C23—28no—
1339C23—21no—
1340C23—21no—
1341C23—22no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—21no—
1351C23—22no—
1352C23—21no—
1353C23—21no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—22no—
1365C23—22no—
1366C23—44no—
1367C23—48no—
1368C23—44no—
1369C23—44no—
1370C23—82no—
1371C23—84no—
1372C23—84no—
1373C23—82no—
1374C23—82no—
1375C23—84no—
1376C23—82no—
1377C23—82no—
1378C23—84no—
1379C23—84no—
1380C23C22×#4112yes—
1381C23C22×#4112yes—
1382C23C22×#4114yes—
1383C23C2×H(5,𝔽2)12yes—
1384C23#58512yes—
1385C23C2611yescharacteristic
1386Q8—48no—
1387Q8—84no—
1388D4—44no—
1389D4—48no—
1390D4—44no—
1391D4—48no—
1392D4—44no—
1393D4—48no—
1394D4—44no—
1395D4—84no—
1396C2×C4—21no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—28no—
1402C2×C4—24no—
1403C2×C4—24no—
1404C2×C4—22no—
1405C2×C4—24no—
1406C2×C4—24no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—24no—
1414C2×C4—24no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—24no—
1418C2×C4—21no—
1419C2×C4—24no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—24no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—48no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—48no—
1469C2×C4—44no—
1470C2×C4—44no—
1471C2×C4—84no—
1472C2×C4—82no—
1473C2×C4—82no—
1474C2×C4—88no—
1475C2×C4—84no—
1476C2×C4—88no—
1477C2×C4—82no—
1478C2×C4—84no—
1479C2×C4—82no—
1480C2×C4—82no—
1481C2×C4—84no—
1482C2×C4C22×#4114yes—
1483C2×C4C22×#4112yes—
1484C2×C4C2×H(5,𝔽2)12yes—
1485C2×C4C2×H(5,𝔽2)12yes—
1486C2×C4#58514yes—
1487C22—22no—
1488C22—24no—
1489C22—24no—
1490C22—24no—
1491C22—24no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—24no—
1496C22—22no—
1497C22—22no—
1498C22—24no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—42no—
1503C22—42no—
1504C22—42no—
1505C22—41no—
1506C22—41no—
1507C22—42no—
1508C22—41no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—41no—
1515C22—42no—
1516C22—41no—
1517C22—41no—
1518C22—42no—
1519C22—88no—
1520C22—88no—
1521C22—88no—
1522C22C23×#4111yescharacteristic
1523C22C22×H(5,𝔽2)11yescharacteristic
1524C22C2×#58512yes—
1525C22C2×#58511yescharacteristic
1526C222−1+612yes—
1527C4—22no—
1528C4—24no—
1529C4—22no—
1530C4—41no—
1531C4—41no—
1532C4—42no—
1533C4—41no—
1534C4—41no—
1535C4—44no—
1536C4—44no—
1537C4—44no—
1538C4—42no—
1539C4—41no—
1540C4—42no—
1541C4—44no—
1542C4—44no—
1543C4—41no—
1544C4—41no—
1545C4—42no—
1546C4—44no—
1547C4—44no—
1548C4—44no—
1549C4—42no—
1550C4—42no—
1551C4#353314yes—
1552C2—44no—
1553C2—42no—
1554C2—42no—
1555C2—42no—
1556C2—42no—
1557C2—81no—
1558C2C2×#353311yescharacteristic
1559C2#6277311yescharacteristic
1560C2#6288611yescharacteristic
1561C2#6290712yes—
1562C2#6299112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#534C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59631C2semidirect
2. #59298C2semidirect
3. #59219C2semidirect
4. #59198C2semidirect
5. #59116C2semidirect
6. #49356C2semidirect
7. #48949C2semidirect
9. #47420C2semidirect
10. #47151C2semidirect
11. #46999C2semidirect
12. #45700C2semidirect
13. #45684C2semidirect
14. #45493C2semidirect
15. #44682C2semidirect
16. #41769C2semidirect
17. #41604C2semidirect
18. #40195C2semidirect
19. #39935C2semidirect
20. #39924C2semidirect
21. #39477C2semidirect
22. #39028C2semidirect
23. #38520C2semidirect
24. #37057C2semidirect
25. #36234C2semidirect
26. #36207C2semidirect
27. #36156C2semidirect
28. #35240C2semidirect
29. #34809C2semidirect
30. #34508C2semidirect
35. C2×#533C22semidirect
38. C22×#117C22semidirect
39. #2855C22semidirect
40. #2851C22semidirect
41. #2851C22semidirect
42. #2851C22semidirect
44. #2848C22semidirect
45. #2848C22semidirect
46. #2842C22semidirect
47. #2839C22semidirect
48. #2834C22semidirect
49. #2807C22semidirect
50. #2794C22semidirect
51. #2791C22semidirect
52. #2790C22semidirect
53. #2787C22semidirect
54. #2783C22semidirect
55. #2781C22semidirect
56. #2780C22semidirect
58. #2774C22semidirect
59. #2771C22semidirect
60. #2771C22semidirect
61. #2771C22semidirect
62. #2770C22semidirect
63. #2770C22semidirect
64. #2768C22semidirect
65. #2765C22semidirect
66. #2765C22semidirect
67. #2765C22semidirect
68. #2765C22semidirect
69. #2762C22semidirect
70. #2761C22semidirect
71. #2761C22semidirect
72. #2750C22semidirect
74. #2747C22semidirect
75. #2747C22semidirect
76. #2744C22semidirect
79. #2743C22semidirect
80. #2743C22semidirect
81. #2740C22semidirect
82. #2735C22semidirect
84. #2722C22semidirect
90. #2689C22semidirect
93. #2654C22semidirect
94. #2654C22semidirect
95. #2652C22semidirect
98. #2633C22semidirect
100. #2611C22semidirect
101. #2609C22semidirect
102. #2596C22semidirect
103. #2587C22semidirect
104. #2585C22semidirect
105. #2576C22semidirect
106. #2575C22semidirect
107. #2575C22semidirect
108. #2575C22semidirect
109. #2571C22semidirect
110. #2570C22semidirect
111. #2562C22semidirect
112. #2562C22semidirect
113. #2550C22semidirect
115. #2547C22semidirect
117. #2542C22semidirect
118. #2538C22semidirect
120. #2536C22semidirect
121. #2536C22semidirect
122. #2533C22semidirect
123. #2528C22semidirect
124. #2522C22semidirect
125. #2517C22semidirect
126. #2517C22semidirect
127. #2515C22semidirect
128. #2515C22semidirect
129. #2510C22semidirect
130. #2509C22semidirect
131. #2508C22semidirect
132. #2507C22semidirect
133. #2506C22semidirect
134. #2505C22semidirect
135. #2505C22semidirect
136. #2502C22semidirect
137. #2499C22semidirect
138. #2497C22semidirect
139. #2497C22semidirect
140. #2496C22semidirect
141. #2495C22semidirect
142. #2494C22semidirect
143. #2494C22semidirect
144. #2494C22semidirect
145. #2489C22semidirect
146. #2489C22semidirect
148. #2487C22semidirect
150. #2486C22semidirect
151. #2486C22semidirect
152. #2486C22semidirect
155. #2485C22semidirect
156. #2484C22semidirect
157. #2483C22semidirect
158. #2483C22semidirect
162. #2482C22semidirect
165. #2480C22semidirect
166. #2478C22semidirect
167. #2478C22semidirect
169. #2475C22semidirect
170. #2474C22semidirect
171. #2473C22semidirect
175. #2470C22semidirect
176. #2470C22semidirect
177. #2470C22semidirect
179. #2462C22semidirect
180. #2460C22semidirect
181. #2453C22semidirect
182. #2446C22semidirect
183. #2442C22semidirect
184. #2442C22semidirect
185. #2441C22semidirect
186. #2441C22semidirect
187. #2440C22semidirect
188. #2438C22semidirect
190. #2429C22semidirect
191. #2423C22semidirect
193. #2421C22semidirect
194. #2421C22semidirect
196. #2419C22semidirect
198. #2417C22semidirect
199. #2417C22semidirect
200. #2417C22semidirect
202. #2415C22semidirect
206. #2395C22semidirect
208. #2376C22semidirect
211. #2373C22semidirect
212. #2370C22semidirect
213. #2362C22semidirect
214. #2362C22semidirect
215. #2362C22semidirect
216. #2360C22semidirect
217. #2360C22semidirect
218. #2359C22semidirect
219. #2357C22semidirect
221. #2352C22semidirect
222. Q8×C4⋊C4C22semidirect
223. D4×C4⋊C4C22semidirect
224. #2346C22semidirect
225. #2346C22semidirect
226. #2344C22semidirect
227. #2343C22semidirect
228. #2342C22semidirect
229. #2335C22semidirect
230. #2334C22semidirect
231. #2332C22semidirect
233. #2326C22semidirect
243. #2314C22semidirect
244. #2312C22semidirect
247. C4×C22⋊Q8C22semidirect
248. C4×C22⋊Q8C22semidirect
253. C4×#123C22semidirect
259. #2296C22semidirect
260. #2290C22semidirect
261. #2285C22semidirect
262. #2283C22semidirect
264. #2280C22semidirect
265. C2×#380C22semidirect

Maximal subgroups

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

subgroupindex
#596312
#592982
#592192
#591982
#591162
#493562
#489492
#487732
#474202
#471512
#469992
#457002
#456842
#454932
#446822
#417692
#416042
#401952
#399352
#399242
#394772
#390282
#385202
#370572
#362342
#362072
#361562
#352402
#348092
#345082
C4×#5342