Finite Group Databasebeta

← #8108404

Subgroups — #8108404

Order 512.

6130 conjugacy classes of subgroups.

The subgroup lattice has 1539 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60033C213yesmaximal, complemented
2#60032C211yesmaximal, characteristic, complemented
3#53168C211yesmaximal, characteristic, complemented
4#53167C213yesmaximal, complemented
5#53158C213yesmaximal, complemented
6#53158C211yesmaximal, characteristic, complemented
7#45659C213yesmaximal, complemented
8#45637C213yesmaximal, complemented
9#45614C213yesmaximal, complemented
10#45590C213yesmaximal, complemented
11#38013C213yesmaximal, complemented
12#38012C213yesmaximal, complemented
13#37989C213yesmaximal, complemented
14#37988C213yesmaximal, complemented
15#37827C213yesmaximal, complemented
16#37826C213yesmaximal, complemented
17#37803C213yesmaximal, complemented
18#37802C213yesmaximal, complemented
19#36736C213yesmaximal, complemented
20#36735C213yesmaximal, complemented
21#36713C213yesmaximal, complemented
22#36712C213yesmaximal, complemented
23#36614C213yesmaximal, complemented
24C25×C4C2211yescharacteristic
25C2×#542C2213yescomplemented
26C2×#540C2213yescomplemented
27C2×#525C2213yes—
28C2×#525C2213yes—
29C2×#525C2213yes—
30#2849C2213yes—
31#2849C2213yes—
32#2849C2213yes—
33#2849C2213yes—
34#2849C2213yes—
35#2849C2213yes—
36#2848C2213yes—
37#2848C2213yes—
38#2848C2213yes—
39#2848C2213yes—
40#2847C2213yes—
41#2847C2213yes—
42#2847C2213yes—
43#2847C2213yes—
44#2846C2213yes—
45#2846C2213yes—
46#2835C2211yescharacteristic, complemented
47#2827C2213yescomplemented
48#2825C2211yescharacteristic, complemented
49#2824C2213yescomplemented
50#2787C2213yescomplemented
51#2786C2213yescomplemented
52#2784C2213yescomplemented
53#2780C2213yescomplemented
54#2770C2213yescomplemented
55#2750C2213yescomplemented
56#2748C2213yescomplemented
57#2747C2213yescomplemented
58#2747C2213yescomplemented
59#2740C2213yescomplemented
60#2739C2213yescomplemented
61#2738C2213yescomplemented
62#2737C2213yescomplemented
63#2736C2213yes—
64#2736C2211yescharacteristic
65#2735C2213yes—
66#2735C2213yes—
67#2735C2213yes—
68#2735C2213yes—
69#2730C2213yescomplemented
70#2729C2213yescomplemented
71#2720C2213yescomplemented
72#2717C2213yescomplemented
73#2714C2213yescomplemented
74#2708C2213yescomplemented
75#2704C2213yescomplemented
76#2703C2213yescomplemented
77#2702C2213yescomplemented
78#2697C2213yes—
79#2697C2213yes—
80#2697C2213yes—
81#2697C2213yes—
82#2696C2213yescomplemented
83#2696C2213yescomplemented
84#2695C2213yescomplemented
85#2694C2213yescomplemented
86#2693C2213yescomplemented
87#2692C2213yescomplemented
88#2691C2213yescomplemented
89#2690C2213yescomplemented
90#2689C2213yescomplemented
91#2688C2213yescomplemented
92#2688C2213yescomplemented
93#2687C2213yescomplemented
94#2686C2213yescomplemented
95#2686C2213yescomplemented
96#2685C2213yes—
97#2685C2213yes—
98#2685C2213yes—
99#2685C2213yes—
100#2684C2213yes—
101#2684C2213yes—
102#2684C2213yes—
103#2684C2213yes—
104#2678C2213yes—
105#2678C2213yes—
106#2678C2213yes—
107#2678C2213yes—
108#2678C2213yes—
109#2678C2213yes—
110#2678C2213yes—
111#2678C2213yes—
112#2677C2213yescomplemented
113#2676C2213yescomplemented
114#2676C2213yescomplemented
115#2676C2213yescomplemented
116#2675C2213yescomplemented
117#2674C2213yescomplemented
118#2673C2213yescomplemented
119#2672C2213yescomplemented
120#2672C2213yescomplemented
121#2671C2213yescomplemented
122#2671C2213yescomplemented
123#2671C2213yescomplemented
124#2670C2213yes—
125#2670C2213yes—
126#2670C2213yes—
127#2670C2213yes—
128#2669C2213yes—
129#2669C2213yes—
130#2669C2213yes—
131#2669C2213yes—
132#2668C2213yes—
133#2668C2213yes—
134#2668C2213yes—
135#2668C2213yes—
136#2667C2213yescomplemented
137#2665C2213yescomplemented
138#2663C2213yescomplemented
139#2661C2213yescomplemented
140#2638C2213yescomplemented
141#2635C2213yescomplemented
142#2630C2213yescomplemented
143#2630C2213yescomplemented
144#2609C2213yescomplemented
145#2609C2213yescomplemented
146#2602C2213yescomplemented
147#2602C2213yescomplemented
148#2599C2213yescomplemented
149#2598C2213yescomplemented
150#2598C2213yescomplemented
151#2598C2213yescomplemented
152#2597C2213yescomplemented
153#2597C2213yescomplemented
154#2587C2213yescomplemented
155#2587C2213yescomplemented
156#2580C2213yescomplemented
157#2578C2213yescomplemented
158#2578C2213yescomplemented
159#2578C2213yescomplemented
160#2577C2213yescomplemented
161#2576C2213yescomplemented
162#2575C2213yescomplemented
163#2574C2213yescomplemented
164#2573C2213yescomplemented
165#2572C2213yescomplemented
166#2564C2213yescomplemented
167#2557C2213yescomplemented
168#2557C2213yescomplemented
169#2553C2213yescomplemented
170#2543C2213yescomplemented
171#2535C2213yescomplemented
172#2523C2213yescomplemented
173#2518C2213yescomplemented
174#2518C2213yescomplemented
175#2517C2213yescomplemented
176#2479C2213yescomplemented
177#2478C2213yescomplemented
178#2477C2213yescomplemented
179#2477C2213yescomplemented
180#2476C2213yescomplemented
181#2476C2213yescomplemented
182#2475C2213yescomplemented
183#2474C2213yescomplemented
184#2471C2213yescomplemented
185#2471C2213yescomplemented
186#2470C2213yescomplemented
187#2470C2213yescomplemented
188#2467C2213yescomplemented
189#2466C2213yescomplemented
190#2465C2213yescomplemented
191#2464C2213yescomplemented
192#2464C2213yescomplemented
193#2464C2213yescomplemented
194#2463C2213yescomplemented
195#2461C2213yescomplemented
196#2461C2213yescomplemented
197#2460C2213yescomplemented
198#2459C2213yescomplemented
199#2458C2213yescomplemented
200#2457C2213yescomplemented
201#2456C2213yescomplemented
202#2456C2213yescomplemented
203#2455C2213yescomplemented
204#2452C2213yescomplemented
205#2450C2213yescomplemented
206#2445C2213yescomplemented
207#2444C2213yescomplemented
208#2432C2213yescomplemented
209#2431C2213yescomplemented
210#2430C2213yescomplemented
211#2430C2213yescomplemented
212#2428C2213yescomplemented
213#2425C2213yescomplemented
214#2422C2213yescomplemented
215#2419C2213yescomplemented
216#2383C2211yescharacteristic, complemented
217#2380C2211yescharacteristic, complemented
218#2377C2213yescomplemented
219#2376C2213yescomplemented
220#2367C2213yescomplemented
221#2367C2213yescomplemented
222#2364C2213yescomplemented
223#2364C2213yescomplemented
224#2363C2213yescomplemented
225#2363C2213yescomplemented
226#2359C2213yescomplemented
227#2359C2213yescomplemented
228#2335C2213yescomplemented
229#2335C2213yescomplemented
230#2333C2213yescomplemented
231#2332C2213yescomplemented
232#2318C2213yescomplemented
233#2318C2213yescomplemented
234C4×#120C2213yes—
235C4×#120C2213yes—
236C4×#120C2213yes—
237C4×#120C2213yes—
238C4×#120C2213yes—
239C4×#120C2213yes—
240C4×#120C2213yes—
241C4×#120C2213yes—
242#2280C2213yes—
243#2280C2213yes—
244#2280C2213yes—
245C26C2311yescharacteristic
246C22×#41C2313yes—
247C24×C4—412no—
248C24×C4C2313yes—
249C24×C4C2313yes—
250C24×C4C2313yes—
251C24×C4C2311yescharacteristic
252C24×C4C2313yes—
253C24×C4C2311yescharacteristic
254#542—412no—
255#540—412no—
256C2×C4⋊Q8C2313yescomplemented
257C2×#127C2311yescharacteristic
258C2×#127C2313yes—
259C2×#126C2311yescharacteristic
260C2×#126C2313yes—
261C2×#126C2313yescomplemented
262C2×#125C2313yescomplemented
263C2×#124C2313yes—
264C2×#124C2313yes—
265C2×#124C2313yes—
266C2×#124C2313yes—
267C2×#124C2313yescomplemented
268#525—412no—
269#525—412no—
270#525—412no—
271C2×#123C2313yes—
272C2×#123C2313yes—
273C2×#123C2313yes—
274C2×#123C2313yes—
275C2×#123C2313yes—
276C2×#123C2313yes—
277C2×#123C2313yes—
278C2×#123C2313yes—
279C2×#123C2313yes—
280C2×#123C2313yes—
281C2×#123C2313yescomplemented
282C2×#123C2313yescomplemented
283C2×#123C2313yescomplemented
284C2×C22⋊Q8C2313yes—
285C2×C22⋊Q8C2313yes—
286C2×C22⋊Q8C2313yes—
287C2×C22⋊Q8C2313yes—
288C2×C22⋊Q8C2313yes—
289C2×C22⋊Q8C2313yes—
290C2×C22⋊Q8C2313yescomplemented
291C2×C22⋊Q8C2313yescomplemented
292C2×#121C2313yes—
293C2×#121C2313yes—
294C2×#121C2313yes—
295C2×#121C2313yes—
296C2×#121C2313yes—
297C2×#121C2313yes—
298C2×#121C2313yes—
299C2×#121C2313yes—
300C2×#121C2313yes—
301C2×#121C2313yes—
302C2×#121C2313yes—
303C2×#121C2313yes—
304C2×#121C2313yes—
305C2×#121C2313yes—
306C2×#121C2313yescomplemented
307C2×#121C2313yescomplemented
308C2×#121C2313yescomplemented
309C2×#120C2313yes—
310C2×#120C2313yes—
311C2×#120C2313yes—
312C2×#120C2313yes—
313C2×#120C2313yes—
314C2×#120C2313yes—
315C2×#120C2313yes—
316C2×#120C2313yes—
317C2×#120C2313yes—
318C2×#120C2313yes—
319C2×#120C2313yes—
320C2×#120C2313yes—
321C2×#120C2313yes—
322C2×#120C2313yes—
323C2×C4×Q8C2313yescomplemented
324C2×C4×D4C2313yes—
325C2×C4×D4C2313yes—
326C2×C4×D4C2313yes—
327C2×C4×D4C2313yes—
328C2×C4×D4C2313yes—
329C2×C4×D4C2313yes—
330C2×C4×D4C2313yes—
331C2×C4×D4C2313yes—
332C2×C4×D4C2313yes—
333C2×C4×D4C2313yes—
334C2×C4×D4C2313yes—
335C2×C4×D4C2313yes—
336C2×C4×D4C2313yescomplemented
337C2×#117C2313yes—
338C2×#117C2313yes—
339C2×#117C2313yes—
340C2×#117C2313yescomplemented
341C2×#117C2313yescomplemented
342#401C2311yescharacteristic, complemented
343#400C2313yescomplemented
344#400C2313yescomplemented
345#400C2313yescomplemented
346#400C2313yescomplemented
347#400C2313yescomplemented
348#400C2313yescomplemented
349#400C2313yescomplemented
350#400C2313yescomplemented
351#400C2313yescomplemented
352#400C2313yescomplemented
353#399C2313yes—
354#399C2313yes—
355#399C2313yes—
356#399C2313yes—
357#399C2313yescomplemented
358#399C2313yescomplemented
359#399C2313yescomplemented
360#398C2313yescomplemented
361#398C2313yescomplemented
362#398C2313yescomplemented
363#398C2313yescomplemented
364#398C2313yescomplemented
365#398C2313yescomplemented
366#398C2313yescomplemented
367#398C2313yescomplemented
368#398C2313yescomplemented
369#398C2313yescomplemented
370#397C2313yes—
371#397C2313yes—
372#397C2313yes—
373#397C2313yes—
374#397C2313yes—
375#397C2313yes—
376#397C2313yes—
377#397C2313yes—
378#397C2313yes—
379#397C2313yes—
380#397C2313yes—
381#397C2313yes—
382#397C2313yes—
383#397C2313yes—
384#397C2313yes—
385#397C2313yes—
386#397C2313yescomplemented
387#397C2313yescomplemented
388#397C2313yescomplemented
389#397C2313yescomplemented
390#397C2313yescomplemented
391#397C2313yescomplemented
392#397C2313yescomplemented
393#396C2311yescharacteristic
394#396C2313yes—
395#396C2313yes—
396#396C2313yes—
397#396C2313yes—
398#396C2313yes—
399#396C2313yes—
400#396C2313yes—
401#396C2313yes—
402#396C2313yes—
403#396C2313yescomplemented
404#396C2313yescomplemented
405#396C2313yescomplemented
406#396C2313yescomplemented
407#396C2313yescomplemented
408#395C2311yescharacteristic, complemented
409#395C2313yescomplemented
410#395C2311yescharacteristic, complemented
411#395C2313yescomplemented
412#395C2313yescomplemented
413#395C2313yescomplemented
414#394C2313yes—
415#394C2313yes—
416#394C2313yes—
417#394C2313yes—
418#394C2313yes—
419#394C2313yes—
420#394C2313yes—
421#394C2313yes—
422#394C2313yes—
423#394C2313yes—
424#394C2313yes—
425#394C2313yes—
426#394C2313yes—
427#394C2313yes—
428#394C2313yes—
429#394C2313yes—
430#394C2313yes—
431#394C2313yes—
432#394C2313yes—
433#394C2313yes—
434#394C2313yes—
435#394C2313yes—
436#394C2313yes—
437#394C2313yes—
438#394C2313yescomplemented
439#394C2313yescomplemented
440#394C2313yescomplemented
441#394C2313yescomplemented
442#394C2313yescomplemented
443#394C2313yescomplemented
444#394C2313yescomplemented
445#393C2313yes—
446#393C2313yes—
447#393C2313yes—
448#393C2311yescharacteristic
449#393C2313yes—
450#393C2313yes—
451#393C2313yescomplemented
452#393C2313yescomplemented
453#393C2313yescomplemented
454#393C2313yescomplemented
455#392C2313yes—
456#392C2313yes—
457#392C2313yes—
458#392C2313yes—
459#392C2313yes—
460#392C2313yes—
461#392C2313yes—
462#392C2313yes—
463#392C2313yes—
464#392C2313yes—
465#392C2313yes—
466#392C2313yes—
467#392C2313yes—
468#392C2313yes—
469#392C2313yes—
470#392C2313yes—
471#392C2311yescharacteristic, complemented
472#392C2313yescomplemented
473#392C2313yescomplemented
474#391C2313yescomplemented
475#391C2313yescomplemented
476#391C2313yescomplemented
477#391C2313yescomplemented
478#390C2313yes—
479#390C2313yes—
480#390C2313yes—
481#390C2313yes—
482#390C2313yes—
483#390C2313yes—
484#390C2313yes—
485#390C2313yes—
486#390C2313yes—
487#390C2313yes—
488#390C2313yes—
489#390C2313yes—
490#390C2313yescomplemented
491#390C2313yescomplemented
492#390C2313yescomplemented
493#389C2313yescomplemented
494#389C2313yescomplemented
495#389C2313yescomplemented
496#389C2313yescomplemented
497#389C2313yescomplemented
498#389C2313yescomplemented
499#389C2313yescomplemented
500#389C2313yescomplemented
501#389C2313yescomplemented
502#388C2313yes—
503#388C2313yes—
504#388C2313yes—
505#388C2313yes—
506#388C2313yes—
507#388C2313yes—
508#388C2313yes—
509#388C2313yes—
510#388C2313yes—
511#388C2313yes—
512#388C2313yes—
513#388C2313yes—
514#388C2313yes—
515#388C2313yes—
516#388C2313yes—
517#388C2313yes—
518#388C2313yes—
519#388C2313yes—
520#388C2313yes—
521#388C2313yes—
522#388C2313yes—
523#388C2313yes—
524#388C2313yes—
525#388C2313yes—
526#388C2313yes—
527#388C2313yes—
528#388C2313yes—
529#388C2313yes—
530#388C2313yescomplemented
531#388C2313yescomplemented
532#388C2313yescomplemented
533#388C2313yescomplemented
534#388C2313yescomplemented
535#388C2313yescomplemented
536#388C2313yescomplemented
537#388C2313yescomplemented
538#388C2313yescomplemented
539#388C2313yescomplemented
540#388C2313yescomplemented
541#388C2313yescomplemented
542#388C2313yescomplemented
543#388C2313yescomplemented
544#388C2313yescomplemented
545#388C2313yescomplemented
546#388C2313yescomplemented
547#387C2313yescomplemented
548#387C2313yescomplemented
549#387C2313yescomplemented
550#387C2313yescomplemented
551#387C2313yescomplemented
552#387C2313yescomplemented
553#387C2313yescomplemented
554#387C2313yescomplemented
555#387C2313yescomplemented
556#387C2313yescomplemented
557#387C2313yescomplemented
558#387C2313yescomplemented
559#387C2313yescomplemented
560#387C2313yescomplemented
561#387C2313yescomplemented
562#387C2313yescomplemented
563#387C2313yescomplemented
564#387C2313yescomplemented
565#387C2313yescomplemented
566#387C2313yescomplemented
567#387C2313yescomplemented
568#387C2313yescomplemented
569#387C2313yescomplemented
570#387C2313yescomplemented
571#387C2313yescomplemented
572#387C2313yescomplemented
573#387C2313yescomplemented
574#386C2313yes—
575#386C2313yes—
576#386C2313yes—
577#386C2313yes—
578#386C2313yes—
579#386C2313yes—
580#386C2313yes—
581#386C2313yes—
582#386C2313yes—
583#386C2313yes—
584#386C2313yes—
585#386C2313yes—
586#386C2313yes—
587#386C2313yes—
588#386C2313yes—
589#386C2313yes—
590#386C2313yes—
591#386C2313yes—
592#386C2313yes—
593#386C2313yes—
594#386C2313yes—
595#386C2313yes—
596#386C2313yes—
597#386C2313yes—
598#386C2313yes—
599#386C2313yes—
600#386C2313yes—
601#386C2313yes—
602#386C2313yes—
603#386C2313yes—
604#386C2313yes—
605#386C2313yes—
606#386C2313yes—
607#386C2313yes—
608#386C2313yes—
609#386C2313yes—
610#386C2313yes—
611#386C2313yes—
612#386C2313yes—
613#386C2313yes—
614#386C2313yescomplemented
615#386C2313yescomplemented
616#386C2313yescomplemented
617#386C2313yescomplemented
618#386C2313yescomplemented
619#386C2313yescomplemented
620#386C2313yescomplemented
621#386C2313yescomplemented
622#386C2313yescomplemented
623#385C2313yes—
624#385C2313yes—
625#385C2313yes—
626#385C2313yes—
627#385C2313yes—
628#385C2313yes—
629#385C2313yes—
630#385C2313yes—
631#385C2313yes—
632#385C2313yes—
633#385C2313yes—
634#385C2313yes—
635#385C2313yes—
636#385C2313yes—
637#385C2313yes—
638#385C2313yes—
639#385C2313yes—
640#385C2313yes—
641#385C2313yes—
642#385C2313yes—
643#385C2313yes—
644#385C2313yes—
645#385C2313yes—
646#385C2313yes—
647#385C2313yescomplemented
648#385C2313yescomplemented
649#385C2313yescomplemented
650#385C2313yescomplemented
651#385C2313yescomplemented
652#385C2313yescomplemented
653#385C2313yescomplemented
654#385C2313yescomplemented
655#385C2313yescomplemented
656#385C2313yescomplemented
657#385C2313yescomplemented
658#384C2311yescharacteristic, complemented
659#383C2311yescharacteristic, complemented
660#383C2313yescomplemented
661#383C2313yescomplemented
662#383C2311yescharacteristic, complemented
663#383C2311yescharacteristic, complemented
664#382C2313yescomplemented
665#382C2313yescomplemented
666#381C2313yes—
667#381C2313yes—
668#381C2313yes—
669#381C2313yes—
670#381C2313yes—
671#381C2313yes—
672#381C2313yescomplemented
673#380C2313yes—
674#380C2313yes—
675#380C2313yes—
676#380C2313yes—
677#380C2313yes—
678#380C2313yes—
679#380C2313yes—
680#380C2313yes—
681#380C2313yes—
682#380C2313yes—
683#380C2313yes—
684#380C2313yes—
685#380C2313yescomplemented
686#380C2313yescomplemented
687#380C2313yescomplemented
688#379C2313yes—
689#379C2313yes—
690#379C2313yes—
691#379C2313yes—
692#379C2313yes—
693#379C2313yes—
694#379C2313yes—
695#379C2313yes—
696#379C2313yes—
697#379C2313yes—
698#379C2313yes—
699#379C2313yes—
700#379C2313yes—
701#379C2313yes—
702C4×C4⋊C4C2313yescomplemented
703C4×C4⋊C4C2313yescomplemented
704C4×C4⋊C4C2313yescomplemented
705C4×C4⋊C4C2313yescomplemented
706C4×C22⋊C4C2313yes—
707C4×C22⋊C4C2313yes—
708C4×C22⋊C4C2313yes—
709C4×C22⋊C4C2313yes—
710C4×C22⋊C4C2313yes—
711C4×C22⋊C4C2313yes—
712C4×C22⋊C4C2313yes—
713C4×C22⋊C4C2313yes—
714C4×C22⋊C4C2313yes—
715C4×C22⋊C4C2313yes—
716C4×C22⋊C4C2313yes—
717C4×C22⋊C4C2313yes—
718C4×C22⋊C4C2313yescomplemented
719C4×C22⋊C4C2313yescomplemented
720C4×C22⋊C4C2313yescomplemented
721C4×C22⋊C4C2313yescomplemented
722C4×C22⋊C4C2313yescomplemented
723C4×C22⋊C4C2313yescomplemented
724C2×#95C2313yescomplemented
725C2×#95C2313yescomplemented
726C25—46no—
727C25—46no—
728C25—42no—
729C25C2413yes—
730C25C2413yes—
731C25C2411yescharacteristic
732C2×#41—46no—
733C2×#41—46no—
734C2×#41—46no—
735C22×Q8C2413yes—
736C22×Q8C2413yes—
737C22×Q8C2411yescharacteristic
738C22×D4C2413yes—
739C22×D4C2413yes—
740C22×D4C2413yes—
741C22×D4C2413yes—
742C22×D4C2413yes—
743C22×D4C2413yes—
744C22×D4C2413yes—
745C22×D4C2413yes—
746C22×D4C2413yes—
747C22×D4C2413yes—
748C22×D4C2413yes—
749C22×D4C2413yes—
750C22×D4C2413yes—
751C22×D4C2413yes—
752C22×D4C2413yes—
753C22×D4C2413yes—
754C22×D4C2413yes—
755C22×D4C2413yes—
756C22×D4C2413yes—
757C23×C4—212no—
758C23×C4—212no—
759C23×C4—212no—
760C23×C4—46no—
761C23×C4—46no—
762C23×C4—46no—
763C23×C4—46no—
764C23×C4—46no—
765C23×C4—46no—
766C23×C4—46no—
767C23×C4—46no—
768C23×C4—46no—
769C23×C4—46no—
770C23×C4—46no—
771C23×C4—464no—
772C23×C4C2413yes—
773C23×C4C2413yes—
774C23×C4C2413yes—
775C23×C4C2413yes—
776C23×C4C2413yes—
777C23×C4C2413yes—
778C23×C4C2413yes—
779C23×C4C2413yes—
780C23×C4C2413yes—
781C23×C4C2413yes—
782C23×C4C2413yes—
783C23×C4C2413yes—
784C23×C4C2413yes—
785C23×C4C2413yes—
786C23×C4C2411yescharacteristic
787C23×C4C2413yes—
788C4⋊Q8—46no—
789#127—42no—
790#127—46no—
791#126—42no—
792#126—46no—
793#126—46no—
794#125—46no—
795#124—46no—
796#124—46no—
797#124—46no—
798#124—46no—
799#124—46no—
800#123—212no—
801#123—212no—
802#123—46no—
803#123—46no—
804#123—46no—
805#123—46no—
806#123—46no—
807#123—46no—
808#123—46no—
809#123—46no—
810#123—46no—
811#123—46no—
812#123—46no—
813C22⋊Q8—212no—
814C22⋊Q8—46no—
815C22⋊Q8—46no—
816C22⋊Q8—46no—
817C22⋊Q8—46no—
818C22⋊Q8—46no—
819C22⋊Q8—46no—
820C22⋊Q8—46no—
821#121—212no—
822#121—46no—
823#121—46no—
824#121—46no—
825#121—46no—
826#121—46no—
827#121—46no—
828#121—46no—
829#121—46no—
830#121—46no—
831#121—46no—
832#121—46no—
833#121—46no—
834#121—46no—
835#121—46no—
836#121—46no—
837#121—46no—
838#120—46no—
839#120—46no—
840#120—46no—
841#120—46no—
842#120—46no—
843#120—46no—
844#120—46no—
845#120—46no—
846#120—46no—
847#120—46no—
848#120—46no—
849#120—46no—
850#120—46no—
851#120—46no—
852C4×Q8—46no—
853C4×D4—212no—
854C4×D4—212no—
855C4×D4—46no—
856C4×D4—46no—
857C4×D4—46no—
858C4×D4—46no—
859C4×D4—46no—
860C4×D4—46no—
861C4×D4—46no—
862C4×D4—46no—
863C4×D4—46no—
864C4×D4—46no—
865C4×D4—46no—
866#117—46no—
867#117—46no—
868#117—46no—
869#117—46no—
870#117—46no—
871C2×C4⋊C4C2413yes—
872C2×C4⋊C4C2413yes—
873C2×C4⋊C4C2413yes—
874C2×C4⋊C4C2413yes—
875C2×C4⋊C4C2413yes—
876C2×C4⋊C4C2413yes—
877C2×C4⋊C4C2413yes—
878C2×C4⋊C4C2413yes—
879C2×C4⋊C4C2413yes—
880C2×C4⋊C4C2413yes—
881C2×C4⋊C4C2413yes—
882C2×C4⋊C4C2413yes—
883C2×C4⋊C4C2413yes—
884C2×C4⋊C4C2413yes—
885C2×C4⋊C4C2413yes—
886C2×C4⋊C4C2413yes—
887C2×C4⋊C4C2413yes—
888C2×C4⋊C4C2413yes—
889C2×C4⋊C4C2413yes—
890C2×C4⋊C4C2413yes—
891C2×C4⋊C4C2413yes—
892C2×C4⋊C4C2413yes—
893C2×C4⋊C4C2413yes—
894C2×C4⋊C4C2413yes—
895C2×C4⋊C4C2413yes—
896C2×C4⋊C4C2413yes—
897C2×C4⋊C4C2413yes—
898C2×C4⋊C4C2413yes—
899C2×C4⋊C4C2413yes—
900C2×C4⋊C4C2413yes—
901C2×C4⋊C4C2413yes—
902C2×C4⋊C4C2413yes—
903C2×C4⋊C4C2413yes—
904C2×C4⋊C4C2413yes—
905C2×C4⋊C4C2413yes—
906C2×C4⋊C4C2413yes—
907C2×C4⋊C4C2413yes—
908C2×C4⋊C4C2413yes—
909C2×C22⋊C4C2413yes—
910C2×C22⋊C4C2413yes—
911C2×C22⋊C4C2413yes—
912C2×C22⋊C4C2413yes—
913C2×C22⋊C4C2413yes—
914C2×C22⋊C4C2413yes—
915C2×C22⋊C4C2413yes—
916C2×C22⋊C4C2413yes—
917C2×C22⋊C4C2413yes—
918C2×C22⋊C4C2413yes—
919C2×C22⋊C4C2413yes—
920C2×C22⋊C4C2413yes—
921C2×C22⋊C4C2413yes—
922C2×C22⋊C4C2413yes—
923C2×C22⋊C4C2413yes—
924C2×C22⋊C4C2413yes—
925C2×C22⋊C4C2413yes—
926C2×C22⋊C4C2413yes—
927C2×C22⋊C4C2413yes—
928C2×C22⋊C4C2413yes—
929C2×C22⋊C4C2413yes—
930C2×C22⋊C4C2413yes—
931C2×C22⋊C4C2413yes—
932C2×C22⋊C4C2413yes—
933C2×C22⋊C4C2413yes—
934C2×C22⋊C4C2413yes—
935C2×C22⋊C4C2413yes—
936C2×C22⋊C4C2413yes—
937C2×C22⋊C4C2413yes—
938C2×C22⋊C4C2413yes—
939C2×C22⋊C4C2413yes—
940C2×C22⋊C4C2413yes—
941C2×C22⋊C4C2413yes—
942C2×C22⋊C4C2413yes—
943C2×C22⋊C4C2413yes—
944C2×C22⋊C4C2413yes—
945C2×C22⋊C4C2413yes—
946C2×C22⋊C4C2413yes—
947C2×C22⋊C4C2413yes—
948C2×C22⋊C4C2413yes—
949C2×C22⋊C4C2413yes—
950C2×C22⋊C4C2413yes—
951C2×C22⋊C4C2413yes—
952C2×C22⋊C4C2413yes—
953C2×C22⋊C4C2413yes—
954C2×C22⋊C4C2413yes—
955C2×C22⋊C4C2413yes—
956C2×C22⋊C4C2413yes—
957C2×C22⋊C4C2413yes—
958C2×C22⋊C4C2413yes—
959C2×C22⋊C4C2413yes—
960C2×C22⋊C4C2413yes—
961C2×C22⋊C4C2413yes—
962C2×C22⋊C4C2413yes—
963C2×C22⋊C4C2413yes—
964C2×C22⋊C4C2413yes—
965C2×C22⋊C4C2413yes—
966C2×C22⋊C4C2413yes—
967C2×C22⋊C4C2413yes—
968C2×C22⋊C4C2413yes—
969C2×C22⋊C4C2413yes—
970C2×C22⋊C4C2413yes—
971C2×C22⋊C4C2413yes—
972C2×C22⋊C4C2413yes—
973C2×C22⋊C4C2413yes—
974C2×C22⋊C4C2413yes—
975C2×C22⋊C4C2413yes—
976C2×C22⋊C4C2413yes—
977C2×C22⋊C4C2413yes—
978C2×C22⋊C4C2413yes—
979C2×C22⋊C4C2413yes—
980C2×C22⋊C4C2413yes—
981C2×C22⋊C4C2413yes—
982C2×C22⋊C4C2413yes—
983C2×C42C2413yes—
984C2×C42C2413yes—
985C2×C42C2413yes—
986C2×C42C2413yes—
987C2×C42C2413yes—
988C2×C42C2413yes—
989C2×C42C2413yes—
990C2×C42C2413yes—
991C2×C42C2413yes—
992C2×C42C2413yes—
993C2×C42C2413yes—
994C2×C42C2413yes—
995C2×C42C2411yescharacteristic
996C2×C42C2411yescharacteristic
997#95C2413yes—
998#95C2413yes—
999#95C2413yes—
1000#95C2413yes—
1001#95C2413yes—
1002#95C2413yes—
1003#95C2413yes—
1004#95C2413yes—
1005#95C2413yes—
1006#95C2413yes—
1007#95C2413yes—
1008#95C2413yes—
1009#95C2413yes—
1010#95C2413yes—
1011#95C2413yes—
1012#95C2413yes—
1013#95C2413yes—
1014#95C2413yes—
1015#95C2413yes—
1016#95C2413yes—
1017#95C2413yes—
1018#95C2413yes—
1019#95C2413yes—
1020#95C2413yes—
1021#95C2413yes—
1022#95C2413yes—
1023#95C2413yes—
1024#95C2413yes—
1025#95C2413yes—
1026#95C2413yes—
1027#95C2413yes—
1028#95C2413yes—
1029#95C2413yes—
1030#95C2413yes—
1031#95C2413yes—
1032#95C2413yes—
1033#95C2413yes—
1034#95C2413yes—
1035#95C2413yes—
1036#95C2413yes—
1037#95C2413yes—
1038#95C2411yescharacteristic
1039#95C2413yes—
1040#95C2413yes—
1041#95C2413yes—
1042#95C2413yes—
1043#95C2413yes—
1044#95C2413yes—
1045#95C2413yes—
1046#95C2413yes—
1047#95C2413yes—
1048#95C2413yes—
1049#95C2413yes—
1050#95C2413yes—
1051C24—26no—
1052C24—26no—
1053C24—26no—
1054C24—26no—
1055C24—26no—
1056C24—26no—
1057C24—26no—
1058C24—43no—
1059C24—43no—
1060C24—43no—
1061C24—43no—
1062C24—43no—
1063C24—43no—
1064C24—43no—
1065C24—43no—
1066C24—43no—
1067C24—41no—
1068C24—416no—
1069C24—448no—
1070C24—448no—
1071C24C2513yes—
1072C24C2513yes—
1073C24C2513yes—
1074C24C2513yes—
1075C24C2511yescharacteristic
1076#41—824no—
1077C2×Q8—26no—
1078C2×Q8—43no—
1079C2×Q8—43no—
1080C2×Q8—43no—
1081C2×Q8—43no—
1082C2×Q8—43no—
1083C2×Q8—43no—
1084C2×D4—26no—
1085C2×D4—26no—
1086C2×D4—26no—
1087C2×D4—26no—
1088C2×D4—26no—
1089C2×D4—26no—
1090C2×D4—26no—
1091C2×D4—26no—
1092C2×D4—26no—
1093C2×D4—26no—
1094C2×D4—26no—
1095C2×D4—26no—
1096C2×D4—26no—
1097C2×D4—26no—
1098C2×D4—26no—
1099C2×D4—43no—
1100C2×D4—43no—
1101C2×D4—43no—
1102C2×D4—43no—
1103C2×D4—43no—
1104C2×D4—43no—
1105C2×D4—43no—
1106C2×D4—43no—
1107C2×D4—43no—
1108C2×D4—43no—
1109C2×D4—43no—
1110C2×D4—43no—
1111C2×D4—43no—
1112C2×D4—43no—
1113C2×D4—43no—
1114C2×D4—43no—
1115C2×D4—43no—
1116C2×D4—43no—
1117C2×D4—43no—
1118C2×D4—43no—
1119C2×D4—43no—
1120C2×D4—43no—
1121C2×D4—43no—
1122C2×D4—43no—
1123C2×D4—43no—
1124C2×D4—43no—
1125C2×D4—43no—
1126C2×D4—43no—
1127C2×D4—43no—
1128C2×D4—43no—
1129C2×D4—43no—
1130C2×D4—43no—
1131C2×D4—43no—
1132C2×D4—43no—
1133C2×D4—43no—
1134C2×D4—43no—
1135C2×D4—43no—
1136C2×D4—43no—
1137C2×D4—43no—
1138C2×D4—43no—
1139C2×D4—43no—
1140C2×D4—43no—
1141C22×C4—26no—
1142C22×C4—26no—
1143C22×C4—26no—
1144C22×C4—26no—
1145C22×C4—26no—
1146C22×C4—26no—
1147C22×C4—26no—
1148C22×C4—26no—
1149C22×C4—26no—
1150C22×C4—26no—
1151C22×C4—26no—
1152C22×C4—26no—
1153C22×C4—26no—
1154C22×C4—26no—
1155C22×C4—26no—
1156C22×C4—26no—
1157C22×C4—26no—
1158C22×C4—43no—
1159C22×C4—43no—
1160C22×C4—43no—
1161C22×C4—43no—
1162C22×C4—43no—
1163C22×C4—43no—
1164C22×C4—43no—
1165C22×C4—43no—
1166C22×C4—43no—
1167C22×C4—43no—
1168C22×C4—43no—
1169C22×C4—43no—
1170C22×C4—43no—
1171C22×C4—43no—
1172C22×C4—43no—
1173C22×C4—43no—
1174C22×C4—43no—
1175C22×C4—43no—
1176C22×C4—43no—
1177C22×C4—43no—
1178C22×C4—43no—
1179C22×C4—43no—
1180C22×C4—43no—
1181C22×C4—43no—
1182C22×C4—43no—
1183C22×C4—43no—
1184C22×C4—43no—
1185C22×C4—43no—
1186C22×C4—448no—
1187C22×C4—448no—
1188C22×C4—448no—
1189C22×C4—416no—
1190C22×C4—416no—
1191C22×C4—448no—
1192C22×C4H(5,𝔽2)112yes—
1193C22×C4C2513yes—
1194C22×C4C2513yes—
1195C22×C4C2513yes—
1196C22×C4C2513yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2513yes—
1200C22×C4C2513yes—
1201C22×C4C2513yes—
1202C22×C4C2513yes—
1203C22×C4C2513yes—
1204C22×C4C2513yes—
1205C22×C4C2513yes—
1206C22×C4C2513yes—
1207C22×C4C2513yes—
1208C22×C4C2513yes—
1209C22×C4C2513yes—
1210C22×C4C2513yes—
1211C4⋊C4—26no—
1212C4⋊C4—26no—
1213C4⋊C4—26no—
1214C4⋊C4—26no—
1215C4⋊C4—26no—
1216C4⋊C4—26no—
1217C4⋊C4—26no—
1218C4⋊C4—26no—
1219C4⋊C4—26no—
1220C4⋊C4—26no—
1221C4⋊C4—43no—
1222C4⋊C4—43no—
1223C4⋊C4—43no—
1224C4⋊C4—43no—
1225C4⋊C4—43no—
1226C4⋊C4—43no—
1227C4⋊C4—43no—
1228C4⋊C4—43no—
1229C4⋊C4—43no—
1230C4⋊C4—43no—
1231C4⋊C4—43no—
1232C4⋊C4—43no—
1233C4⋊C4—43no—
1234C4⋊C4—43no—
1235C4⋊C4—43no—
1236C4⋊C4—43no—
1237C4⋊C4—43no—
1238C4⋊C4—43no—
1239C4⋊C4—43no—
1240C4⋊C4—43no—
1241C4⋊C4—43no—
1242C4⋊C4—43no—
1243C4⋊C4—43no—
1244C4⋊C4—43no—
1245C4⋊C4—43no—
1246C4⋊C4—43no—
1247C4⋊C4—43no—
1248C4⋊C4—43no—
1249C22⋊C4—26no—
1250C22⋊C4—26no—
1251C22⋊C4—26no—
1252C22⋊C4—26no—
1253C22⋊C4—26no—
1254C22⋊C4—26no—
1255C22⋊C4—26no—
1256C22⋊C4—26no—
1257C22⋊C4—26no—
1258C22⋊C4—26no—
1259C22⋊C4—26no—
1260C22⋊C4—26no—
1261C22⋊C4—26no—
1262C22⋊C4—26no—
1263C22⋊C4—26no—
1264C22⋊C4—26no—
1265C22⋊C4—26no—
1266C22⋊C4—26no—
1267C22⋊C4—26no—
1268C22⋊C4—26no—
1269C22⋊C4—26no—
1270C22⋊C4—26no—
1271C22⋊C4—43no—
1272C22⋊C4—43no—
1273C22⋊C4—43no—
1274C22⋊C4—43no—
1275C22⋊C4—43no—
1276C22⋊C4—43no—
1277C22⋊C4—43no—
1278C22⋊C4—43no—
1279C22⋊C4—43no—
1280C22⋊C4—43no—
1281C22⋊C4—43no—
1282C22⋊C4—43no—
1283C22⋊C4—43no—
1284C22⋊C4—43no—
1285C22⋊C4—43no—
1286C22⋊C4—43no—
1287C22⋊C4—43no—
1288C22⋊C4—43no—
1289C22⋊C4—43no—
1290C22⋊C4—43no—
1291C22⋊C4—43no—
1292C22⋊C4—43no—
1293C22⋊C4—43no—
1294C22⋊C4—43no—
1295C22⋊C4—43no—
1296C22⋊C4—43no—
1297C22⋊C4—43no—
1298C22⋊C4—43no—
1299C22⋊C4—43no—
1300C22⋊C4—43no—
1301C22⋊C4—43no—
1302C22⋊C4—43no—
1303C22⋊C4—43no—
1304C22⋊C4—43no—
1305C22⋊C4—43no—
1306C22⋊C4—43no—
1307C22⋊C4—43no—
1308C22⋊C4—43no—
1309C22⋊C4—43no—
1310C22⋊C4—43no—
1311C22⋊C4—43no—
1312C22⋊C4—43no—
1313C22⋊C4—43no—
1314C22⋊C4—43no—
1315C22⋊C4—43no—
1316C22⋊C4—43no—
1317C22⋊C4—43no—
1318C22⋊C4—43no—
1319C22⋊C4—43no—
1320C22⋊C4—43no—
1321C22⋊C4—43no—
1322C22⋊C4—43no—
1323C42—26no—
1324C42—26no—
1325C42—43no—
1326C42—43no—
1327C42—43no—
1328C42—43no—
1329C42—43no—
1330C42—43no—
1331C42—43no—
1332C42—43no—
1333C42—43no—
1334C42—43no—
1335C42—41no—
1336C42—41no—
1337C23—23no—
1338C23—23no—
1339C23—23no—
1340C23—23no—
1341C23—23no—
1342C23—23no—
1343C23—23no—
1344C23—23no—
1345C23—23no—
1346C23—23no—
1347C23—23no—
1348C23—23no—
1349C23—23no—
1350C23—23no—
1351C23—23no—
1352C23—23no—
1353C23—23no—
1354C23—23no—
1355C23—23no—
1356C23—23no—
1357C23—23no—
1358C23—23no—
1359C23—23no—
1360C23—23no—
1361C23—23no—
1362C23—23no—
1363C23—23no—
1364C23—23no—
1365C23—412no—
1366C23—412no—
1367C23—412no—
1368C23—412no—
1369C23—412no—
1370C23—412no—
1371C23—412no—
1372C23—412no—
1373C23—412no—
1374C23—412no—
1375C23—412no—
1376C23—412no—
1377C23—412no—
1378C23—412no—
1379C23—44no—
1380C23—4128no—
1381C23—412no—
1382C23—412no—
1383C23C2×H(5,𝔽2)16yes—
1384C23#58516yes—
1385C23#58512yes—
1386C23C2611yescharacteristic
1387Q8—86no—
1388Q8—86no—
1389Q8—161no—
1390D4—86no—
1391D4—86no—
1392D4—86no—
1393D4—86no—
1394D4—86no—
1395D4—86no—
1396D4—86no—
1397D4—86no—
1398D4—86no—
1399D4—86no—
1400D4—86no—
1401D4—86no—
1402D4—86no—
1403D4—86no—
1404D4—86no—
1405D4—86no—
1406D4—163no—
1407D4—163no—
1408D4—163no—
1409C2×C4—224no—
1410C2×C4—23no—
1411C2×C4—23no—
1412C2×C4—23no—
1413C2×C4—23no—
1414C2×C4—23no—
1415C2×C4—23no—
1416C2×C4—23no—
1417C2×C4—23no—
1418C2×C4—23no—
1419C2×C4—23no—
1420C2×C4—23no—
1421C2×C4—23no—
1422C2×C4—23no—
1423C2×C4—23no—
1424C2×C4—23no—
1425C2×C4—23no—
1426C2×C4—23no—
1427C2×C4—23no—
1428C2×C4—23no—
1429C2×C4—23no—
1430C2×C4—23no—
1431C2×C4—23no—
1432C2×C4—23no—
1433C2×C4—23no—
1434C2×C4—23no—
1435C2×C4—23no—
1436C2×C4—23no—
1437C2×C4—23no—
1438C2×C4—23no—
1439C2×C4—23no—
1440C2×C4—23no—
1441C2×C4—23no—
1442C2×C4—23no—
1443C2×C4—23no—
1444C2×C4—23no—
1445C2×C4—23no—
1446C2×C4—23no—
1447C2×C4—23no—
1448C2×C4—23no—
1449C2×C4—23no—
1450C2×C4—23no—
1451C2×C4—23no—
1452C2×C4—23no—
1453C2×C4—23no—
1454C2×C4—23no—
1455C2×C4—23no—
1456C2×C4—23no—
1457C2×C4—23no—
1458C2×C4—412no—
1459C2×C4—412no—
1460C2×C4—412no—
1461C2×C4—412no—
1462C2×C4—412no—
1463C2×C4—412no—
1464C2×C4—412no—
1465C2×C4—412no—
1466C2×C4—44no—
1467C2×C4—86no—
1468C2×C4—86no—
1469C2×C4—86no—
1470C2×C4—86no—
1471C2×C4—163no—
1472C2×C4—163no—
1473C2×C4C2×H(5,𝔽2)16yes—
1474C2×C4C2×H(5,𝔽2)16yes—
1475C22—26no—
1476C22—26no—
1477C22—26no—
1478C22—26no—
1479C22—26no—
1480C22—26no—
1481C22—26no—
1482C22—448no—
1483C22—448no—
1484C22—416no—
1485C22—43no—
1486C22—43no—
1487C22—43no—
1488C22—43no—
1489C22—41no—
1490C22—43no—
1491C22—43no—
1492C22—43no—
1493C22—43no—
1494C22—43no—
1495C22—43no—
1496C22—43no—
1497C22—43no—
1498C22—43no—
1499C22—43no—
1500C22—43no—
1501C22—43no—
1502C22—43no—
1503C22—43no—
1504C22—43no—
1505C22—43no—
1506C22—43no—
1507C22—43no—
1508C22—43no—
1509C22C22×H(5,𝔽2)13yes—
1510C22C2×#58513yes—
1511C22C2×#58511yescharacteristic
1512C4—26no—
1513C4—26no—
1514C4—43no—
1515C4—43no—
1516C4—43no—
1517C4—43no—
1518C4—43no—
1519C4—43no—
1520C4—41no—
1521C4—41no—
1522C4—43no—
1523C4—43no—
1524C4—43no—
1525C4—43no—
1526C4—43no—
1527C4—43no—
1528C4—43no—
1529C4—43no—
1530C2—46no—
1531C2—46no—
1532C2—42no—
1533C2—83no—
1534C2—83no—
1535C2#6272913yes—
1536C2#6281711yescharacteristic
1537C2#6282113yes—
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. #60033C2semidirect
2. #60032C2semidirect
3. #53168C2semidirect
4. #53167C2semidirect
5. #53158C2semidirect
6. #53158C2semidirect
7. #45659C2semidirect
8. #45637C2semidirect
9. #45614C2semidirect
10. #45590C2semidirect
11. #38013C2semidirect
12. #38012C2semidirect
13. #37989C2semidirect
14. #37988C2semidirect
15. #37827C2semidirect
16. #37826C2semidirect
17. #37803C2semidirect
18. #37802C2semidirect
19. #36736C2semidirect
20. #36735C2semidirect
21. #36713C2semidirect
22. #36712C2semidirect
23. #36614C2semidirect
25. C2×#542C22semidirect
26. C2×#540C22semidirect
46. #2835C22semidirect
47. #2827C22semidirect
48. #2825C22semidirect
49. #2824C22semidirect
50. #2787C22semidirect
51. #2786C22semidirect
52. #2784C22semidirect
53. #2780C22semidirect
54. #2770C22semidirect
55. #2750C22semidirect
56. #2748C22semidirect
57. #2747C22semidirect
58. #2747C22semidirect
59. #2740C22semidirect
60. #2739C22semidirect
61. #2738C22semidirect
62. #2737C22semidirect
69. #2730C22semidirect
70. #2729C22semidirect
71. #2720C22semidirect
72. #2717C22semidirect
73. #2714C22semidirect
74. #2708C22semidirect
75. #2704C22semidirect
76. #2703C22semidirect
77. #2702C22semidirect
82. #2696C22semidirect
83. #2696C22semidirect
84. #2695C22semidirect
85. #2694C22semidirect
86. #2693C22semidirect
87. #2692C22semidirect
88. #2691C22semidirect
89. #2690C22semidirect
90. #2689C22semidirect
91. #2688C22semidirect
92. #2688C22semidirect
93. #2687C22semidirect
94. #2686C22semidirect
95. #2686C22semidirect
112. #2677C22semidirect
113. #2676C22semidirect
114. #2676C22semidirect
115. #2676C22semidirect
116. #2675C22semidirect
117. #2674C22semidirect
118. #2673C22semidirect
119. #2672C22semidirect
120. #2672C22semidirect
121. #2671C22semidirect
122. #2671C22semidirect
123. #2671C22semidirect
136. #2667C22semidirect
137. #2665C22semidirect
138. #2663C22semidirect
139. #2661C22semidirect
140. #2638C22semidirect
141. #2635C22semidirect
142. #2630C22semidirect
143. #2630C22semidirect
144. #2609C22semidirect
145. #2609C22semidirect
146. #2602C22semidirect
147. #2602C22semidirect
148. #2599C22semidirect
149. #2598C22semidirect
150. #2598C22semidirect
151. #2598C22semidirect
152. #2597C22semidirect
153. #2597C22semidirect
154. #2587C22semidirect
155. #2587C22semidirect
156. #2580C22semidirect
157. #2578C22semidirect
158. #2578C22semidirect
159. #2578C22semidirect
160. #2577C22semidirect
161. #2576C22semidirect
162. #2575C22semidirect
163. #2574C22semidirect
164. #2573C22semidirect
165. #2572C22semidirect
166. #2564C22semidirect
167. #2557C22semidirect
168. #2557C22semidirect
169. #2553C22semidirect
170. #2543C22semidirect
171. #2535C22semidirect
172. #2523C22semidirect
173. #2518C22semidirect
174. #2518C22semidirect
175. #2517C22semidirect
176. #2479C22semidirect
177. #2478C22semidirect
178. #2477C22semidirect
179. #2477C22semidirect
180. #2476C22semidirect
181. #2476C22semidirect
182. #2475C22semidirect
183. #2474C22semidirect
184. #2471C22semidirect
185. #2471C22semidirect
186. #2470C22semidirect
187. #2470C22semidirect
188. #2467C22semidirect
189. #2466C22semidirect
190. #2465C22semidirect
191. #2464C22semidirect
192. #2464C22semidirect
193. #2464C22semidirect
194. #2463C22semidirect
195. #2461C22semidirect
196. #2461C22semidirect
197. #2460C22semidirect
198. #2459C22semidirect
199. #2458C22semidirect
200. #2457C22semidirect
201. #2456C22semidirect
202. #2456C22semidirect
203. #2455C22semidirect
204. #2452C22semidirect
205. #2450C22semidirect
206. #2445C22semidirect
207. #2444C22semidirect
208. #2432C22semidirect
209. #2431C22semidirect
210. #2430C22semidirect
211. #2430C22semidirect
212. #2428C22semidirect
213. #2425C22semidirect
214. #2422C22semidirect
215. #2419C22semidirect
216. #2383C22semidirect
217. #2380C22semidirect
218. #2377C22semidirect
219. #2376C22semidirect
220. #2367C22semidirect
221. #2367C22semidirect
222. #2364C22semidirect
223. #2364C22semidirect
224. #2363C22semidirect
225. #2363C22semidirect
226. #2359C22semidirect
227. #2359C22semidirect
228. #2335C22semidirect
229. #2335C22semidirect
230. #2333C22semidirect
231. #2332C22semidirect
232. #2318C22semidirect
233. #2318C22semidirect
256. C2×C4⋊Q8C23semidirect
261. C2×#126C23semidirect
262. C2×#125C23semidirect
267. C2×#124C23semidirect
281. C2×#123C23semidirect
282. C2×#123C23semidirect
283. C2×#123C23semidirect
290. C2×C22⋊Q8C23semidirect
291. C2×C22⋊Q8C23semidirect
306. C2×#121C23semidirect
307. C2×#121C23semidirect
308. C2×#121C23semidirect
323. C2×C4×Q8C23semidirect
336. C2×C4×D4C23semidirect
340. C2×#117C23semidirect
341. C2×#117C23semidirect
342. #401C23semidirect
343. #400C23semidirect
344. #400C23semidirect
345. #400C23semidirect
346. #400C23semidirect
347. #400C23semidirect
348. #400C23semidirect
349. #400C23semidirect
350. #400C23semidirect
351. #400C23semidirect
352. #400C23semidirect
357. #399C23semidirect
358. #399C23semidirect
359. #399C23semidirect
360. #398C23semidirect
361. #398C23semidirect
362. #398C23semidirect
363. #398C23semidirect
364. #398C23semidirect
365. #398C23semidirect
366. #398C23semidirect
367. #398C23semidirect
368. #398C23semidirect
369. #398C23semidirect
386. #397C23semidirect
387. #397C23semidirect
388. #397C23semidirect
389. #397C23semidirect
390. #397C23semidirect
391. #397C23semidirect
392. #397C23semidirect
403. #396C23semidirect
404. #396C23semidirect
405. #396C23semidirect
406. #396C23semidirect
407. #396C23semidirect
408. #395C23semidirect
409. #395C23semidirect
410. #395C23semidirect
411. #395C23semidirect
412. #395C23semidirect
413. #395C23semidirect
438. #394C23semidirect
439. #394C23semidirect
440. #394C23semidirect
441. #394C23semidirect
442. #394C23semidirect
443. #394C23semidirect
444. #394C23semidirect
451. #393C23semidirect
452. #393C23semidirect
453. #393C23semidirect
454. #393C23semidirect
471. #392C23semidirect
472. #392C23semidirect
473. #392C23semidirect
474. #391C23semidirect
475. #391C23semidirect
476. #391C23semidirect
477. #391C23semidirect
490. #390C23semidirect
491. #390C23semidirect
492. #390C23semidirect
493. #389C23semidirect
494. #389C23semidirect
495. #389C23semidirect
496. #389C23semidirect
497. #389C23semidirect
498. #389C23semidirect
499. #389C23semidirect
500. #389C23semidirect
501. #389C23semidirect
530. #388C23semidirect
531. #388C23semidirect
532. #388C23semidirect
533. #388C23semidirect
534. #388C23semidirect
535. #388C23semidirect
536. #388C23semidirect
537. #388C23semidirect
538. #388C23semidirect
539. #388C23semidirect
540. #388C23semidirect
541. #388C23semidirect
542. #388C23semidirect
543. #388C23semidirect
544. #388C23semidirect
545. #388C23semidirect
546. #388C23semidirect
547. #387C23semidirect
548. #387C23semidirect
549. #387C23semidirect
550. #387C23semidirect
551. #387C23semidirect
552. #387C23semidirect
553. #387C23semidirect
554. #387C23semidirect
555. #387C23semidirect
556. #387C23semidirect
557. #387C23semidirect
558. #387C23semidirect
559. #387C23semidirect
560. #387C23semidirect
561. #387C23semidirect
562. #387C23semidirect
563. #387C23semidirect
564. #387C23semidirect
565. #387C23semidirect
566. #387C23semidirect
567. #387C23semidirect
568. #387C23semidirect
569. #387C23semidirect
570. #387C23semidirect
571. #387C23semidirect
572. #387C23semidirect
573. #387C23semidirect
614. #386C23semidirect
615. #386C23semidirect
616. #386C23semidirect
617. #386C23semidirect
618. #386C23semidirect
619. #386C23semidirect
620. #386C23semidirect
621. #386C23semidirect
622. #386C23semidirect
647. #385C23semidirect
648. #385C23semidirect
649. #385C23semidirect
650. #385C23semidirect
651. #385C23semidirect
652. #385C23semidirect
653. #385C23semidirect
654. #385C23semidirect
655. #385C23semidirect
656. #385C23semidirect
657. #385C23semidirect
658. #384C23semidirect
659. #383C23semidirect
660. #383C23semidirect
661. #383C23semidirect
662. #383C23semidirect
663. #383C23semidirect
664. #382C23semidirect
665. #382C23semidirect
672. #381C23semidirect
685. #380C23semidirect
686. #380C23semidirect
687. #380C23semidirect
702. C4×C4⋊C4C23semidirect
703. C4×C4⋊C4C23semidirect
704. C4×C4⋊C4C23semidirect
705. C4×C4⋊C4C23semidirect
718. C4×C22⋊C4C23semidirect
719. C4×C22⋊C4C23semidirect
720. C4×C22⋊C4C23semidirect
721. C4×C22⋊C4C23semidirect
722. C4×C22⋊C4C23semidirect
723. C4×C22⋊C4C23semidirect
724. C2×#95C23semidirect
725. C2×#95C23semidirect

Maximal subgroups

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

subgroupindex
#600332
#600322
#531682
#531672
#531582
#456592
#456372
#456142
#455902
#380132
#380122
#379892
#379882
#378272
#378262
#378032
#378022
#367362
#367352
#367132
#367122
#366142