Finite Group Databasebeta

← #8718517

Subgroups — #8718517

Order 512.

6088 conjugacy classes of subgroups.

The subgroup lattice has 1575 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59943C213yesmaximal, complemented
2#59407C213yesmaximal, complemented
3#58991C213yesmaximal, complemented
4#58918C211yesmaximal, characteristic, complemented
5#58075C213yesmaximal, complemented
6#57958C213yesmaximal, complemented
7#57853C213yesmaximal, complemented
8#57669C211yesmaximal, characteristic, complemented
9#57603C213yesmaximal, complemented
10#52912C213yesmaximal, complemented
11C2×#2736C211yesmaximal, characteristic, complemented
12#47189C213yesmaximal, complemented
13#47042C213yesmaximal, complemented
14#44236C213yesmaximal, complemented
15#43574C213yesmaximal, complemented
16#43530C213yesmaximal, complemented
17#40922C213yesmaximal, complemented
18#40893C213yesmaximal, complemented
19#40692C213yesmaximal, complemented
20#38512C213yesmaximal, complemented
21#38423C213yesmaximal, complemented
22#37832C213yesmaximal, complemented
23#36078C213yesmaximal, complemented
24C22×2−1+4C2211yescharacteristic, complemented
25C2×#553C2213yescomplemented
26C2×#546C2213yescomplemented
27C2×#546C2213yescomplemented
28C2×#546C2213yescomplemented
29C22×#120C2213yes—
30#2856C2211yescharacteristic, complemented
31#2852C2211yescharacteristic, complemented
32#2846C2211yescharacteristic
33#2841C2213yescomplemented
34#2838C2213yescomplemented
35#2838C2213yescomplemented
36#2831C2213yescomplemented
37#2830C2213yescomplemented
38#2830C2213yescomplemented
39#2825C2213yescomplemented
40#2824C2213yescomplemented
41#2824C2213yescomplemented
42#2824C2213yescomplemented
43#2808C2213yescomplemented
44#2798C2213yescomplemented
45#2797C2213yescomplemented
46#2788C2213yescomplemented
47#2786C2213yescomplemented
48#2784C2213yescomplemented
49#2784C2213yescomplemented
50#2779C2213yescomplemented
51#2778C2213yescomplemented
52#2778C2213yescomplemented
53#2760C2213yescomplemented
54#2756C2213yescomplemented
55#2752C2213yescomplemented
56#2751C2213yescomplemented
57#2750C2213yescomplemented
58#2749C2213yescomplemented
59#2746C2213yescomplemented
60#2745C2213yescomplemented
61#2743C2213yescomplemented
62#2743C2213yescomplemented
63#2742C2213yescomplemented
64#2737C2213yescomplemented
65#2737C2213yescomplemented
66#2737C2213yescomplemented
67#2737C2213yescomplemented
68#2736C2213yescomplemented
69#2736C2211yescharacteristic, complemented
70#2736C2213yescomplemented
71#2736C2213yescomplemented
72#2736C2213yescomplemented
73#2736C2213yescomplemented
74#2720C2213yescomplemented
75#2718C2213yescomplemented
76#2715C2213yescomplemented
77#2711C2213yescomplemented
78#2710C2213yescomplemented
79#2708C2213yescomplemented
80#2707C2213yescomplemented
81#2703C2213yescomplemented
82#2703C2213yescomplemented
83#2703C2213yescomplemented
84#2702C2213yescomplemented
85#2699C2213yescomplemented
86#2697C2213yes—
87#2697C2213yescomplemented
88#2697C2213yescomplemented
89#2696C2213yescomplemented
90#2694C2213yescomplemented
91#2691C2213yescomplemented
92#2690C2213yescomplemented
93#2688C2213yescomplemented
94#2688C2213yescomplemented
95#2685C2213yescomplemented
96#2684C2213yes—
97#2684C2213yescomplemented
98#2678C2213yes—
99#2678C2213yescomplemented
100#2678C2213yescomplemented
101#2678C2213yescomplemented
102#2673C2213yescomplemented
103#2670C2213yescomplemented
104#2669C2213yescomplemented
105#2668C2213yes—
106#2668C2213yescomplemented
107#2668C2213yescomplemented
108#2668C2213yescomplemented
109#2662C2213yescomplemented
110#2661C2213yescomplemented
111#2653C2213yescomplemented
112#2650C2213yescomplemented
113#2648C2213yescomplemented
114#2643C2211yescharacteristic, complemented
115#2643C2213yescomplemented
116#2635C2213yescomplemented
117#2630C2213yescomplemented
118#2626C2213yescomplemented
119#2615C2213yescomplemented
120#2614C2213yescomplemented
121#2614C2213yescomplemented
122#2613C2213yescomplemented
123#2610C2213yescomplemented
124#2603C2213yescomplemented
125#2598C2213yescomplemented
126#2591C2213yescomplemented
127#2589C2213yescomplemented
128#2579C2213yescomplemented
129#2578C2213yescomplemented
130#2572C2213yescomplemented
131#2561C2213yescomplemented
132#2559C2213yescomplemented
133#2559C2213yescomplemented
134#2557C2213yescomplemented
135#2556C2213yescomplemented
136#2554C2213yescomplemented
137#2539C2213yes—
138#2534C2213yescomplemented
139#2534C2213yescomplemented
140#2534C2213yescomplemented
141#2532C2213yescomplemented
142#2527C2213yescomplemented
143#2526C2213yescomplemented
144#2516C2213yescomplemented
145#2510C2213yescomplemented
146#2510C2213yescomplemented
147#2498C2213yescomplemented
148#2493C2213yescomplemented
149#2493C2213yescomplemented
150#2487C2213yescomplemented
151#2483C2213yescomplemented
152#2480C2213yescomplemented
153#2477C2213yescomplemented
154#2474C2213yescomplemented
155#2472C2213yes—
156#2472C2213yes—
157#2471C2213yescomplemented
158#2471C2213yescomplemented
159#2468C2213yescomplemented
160#2467C2213yescomplemented
161#2466C2213yescomplemented
162#2457C2213yescomplemented
163#2456C2213yescomplemented
164#2444C2213yescomplemented
165#2444C2213yescomplemented
166#2437C2213yescomplemented
167#2436C2213yescomplemented
168#2436C2213yescomplemented
169#2436C2213yescomplemented
170#2430C2213yescomplemented
171#2430C2213yescomplemented
172#2430C2213yescomplemented
173#2430C2213yescomplemented
174#2430C2213yescomplemented
175#2430C2213yescomplemented
176#2425C2213yescomplemented
177#2425C2213yescomplemented
178#2425C2213yescomplemented
179#2425C2213yescomplemented
180#2424C2213yes—
181#2424C2213yes—
182#2424C2213yescomplemented
183#2424C2213yescomplemented
184#2424C2213yescomplemented
185#2419C2213yescomplemented
186#2419C2213yescomplemented
187#2418C2213yes—
188#2418C2213yes—
189#2418C2213yescomplemented
190#2418C2213yescomplemented
191#2418C2213yescomplemented
192#2418C2213yescomplemented
193#2414C2213yescomplemented
194#2412C2213yescomplemented
195#2412C2213yescomplemented
196#2412C2213yescomplemented
197#2412C2213yescomplemented
198#2411C2213yescomplemented
199#2410C2213yes—
200#2410C2213yes—
201#2410C2213yescomplemented
202#2410C2213yescomplemented
203#2410C2213yescomplemented
204#2409C2213yescomplemented
205#2409C2213yescomplemented
206#2409C2213yescomplemented
207#2408C2213yes—
208#2408C2213yes—
209#2405C2213yescomplemented
210#2404C2213yes—
211#2404C2213yescomplemented
212#2404C2213yescomplemented
213#2404C2213yescomplemented
214#2404C2213yescomplemented
215#2404C2213yescomplemented
216#2403C2213yescomplemented
217C2×#397C2213yescomplemented
218#2388C2213yescomplemented
219C2×#393C2213yescomplemented
220C2×#393C2213yescomplemented
221#2364C2213yescomplemented
222#2359C2213yescomplemented
223#2358C2213yescomplemented
224#2358C2213yescomplemented
225#2353C2213yescomplemented
226#2342C2213yescomplemented
227#2339C2213yescomplemented
228#2339C2213yescomplemented
229#2339C2213yescomplemented
230D4×C22⋊C4C2213yescomplemented
231D4×C22⋊C4C2213yescomplemented
232D4×C22⋊C4C2213yescomplemented
233#2335C2213yescomplemented
234#2325C2213yescomplemented
235#2325C2213yescomplemented
236#2324C2213yescomplemented
237#2321C2213yescomplemented
238#2321C2213yescomplemented
239#2308C2213yescomplemented
240C4×#121C2213yescomplemented
241#2290C2213yescomplemented
242C2×#388C2213yescomplemented
243C2×#388C2213yescomplemented
244C2×#379C2213yes—
245C26C2311yescharacteristic
246C2×2−1+4—412no—
247C22×#41C2313yes—
248C22×#41C2313yes—
249C22×#41C2313yescomplemented
250C22×#41C2311yescharacteristic, complemented
251C23×Q8C2311yescharacteristic
252C23×Q8C2313yescomplemented
253C23×Q8C2311yescharacteristic, complemented
254C23×D4C2313yes—
255C23×D4C2313yes—
256C23×D4C2313yes—
257#553—412no—
258#546—412no—
259#546—412no—
260#546—412no—
261C2×#127C2311yescharacteristic, complemented
262C2×#126C2313yescomplemented
263C2×#126C2313yescomplemented
264C2×#126C2311yescharacteristic, complemented
265C2×#125C2313yescomplemented
266C2×#124C2313yes—
267C2×#124C2313yes—
268C2×#124C2313yes—
269C2×#123C2313yes—
270C2×#123C2313yes—
271C2×#123C2313yes—
272C2×#123C2313yes—
273C2×#123C2313yes—
274C2×#123C2313yes—
275C2×#123C2313yes—
276C2×#123C2313yes—
277C2×#123C2313yes—
278C2×#123C2313yescomplemented
279C2×#123C2313yescomplemented
280C2×C22⋊Q8C2313yes—
281C2×C22⋊Q8C2313yes—
282C2×C22⋊Q8C2313yes—
283C2×#121C2313yes—
284C2×#121C2313yes—
285C2×#121C2313yes—
286C2×#121C2313yes—
287C2×#121C2313yes—
288C2×#121C2313yes—
289C2×#121C2313yes—
290C2×#121C2313yes—
291C2×#121C2313yes—
292C2×#121C2313yes—
293C2×#121C2313yes—
294C2×#121C2313yes—
295C2×#121C2313yes—
296C2×#121C2313yes—
297C2×#121C2313yescomplemented
298C2×#120—412no—
299C2×#120C2313yes—
300C2×#120C2313yes—
301C2×#120C2313yes—
302C2×#120C2313yes—
303C2×#120C2313yes—
304C2×#120C2313yes—
305C2×#120C2313yes—
306C2×#120C2313yes—
307C2×#120C2313yes—
308C2×#120C2313yes—
309C2×#120C2313yes—
310C2×#120C2313yes—
311C2×#120C2313yes—
312C2×#120C2313yes—
313C2×#120C2311yescharacteristic
314C2×#120C2313yes—
315C2×C4×D4C2313yes—
316C2×C4×D4C2313yes—
317C2×C4×D4C2313yes—
318C2×C4×D4C2313yes—
319C2×C4×D4C2313yes—
320C2×C4×D4C2313yes—
321C2×C4×D4C2313yes—
322C2×C4×D4C2313yes—
323C2×C4×D4C2313yes—
324C2×C4×D4C2313yes—
325C2×C4×D4C2313yescomplemented
326C2×C4×D4C2313yescomplemented
327C2×#117C2313yescomplemented
328C2×#117C2313yescomplemented
329C22×C4⋊C4C2313yes—
330C22×C22⋊C4C2313yes—
331C22×C22⋊C4C2313yes—
332C22×C22⋊C4C2313yes—
333C22×C22⋊C4C2313yes—
334C22×C22⋊C4C2313yes—
335C22×C22⋊C4C2313yes—
336C22×C22⋊C4C2313yes—
337C22×C22⋊C4C2313yes—
338C22×C22⋊C4C2313yes—
339C22×C22⋊C4C2313yes—
340C22×C22⋊C4C2313yes—
341C22×C22⋊C4C2313yes—
342C22×C22⋊C4C2313yes—
343C22×C42C2311yescharacteristic
344C22×C42C2311yescharacteristic
345#401C2313yescomplemented
346#401C2313yescomplemented
347#401C2311yescharacteristic, complemented
348#400C2313yescomplemented
349#400C2313yescomplemented
350#400C2313yescomplemented
351#400C2313yescomplemented
352#400C2313yescomplemented
353#400C2313yescomplemented
354#400C2313yescomplemented
355#400C2313yescomplemented
356#400C2313yescomplemented
357#400C2313yescomplemented
358#400C2313yescomplemented
359#400C2313yescomplemented
360#400C2313yescomplemented
361#399C2313yes—
362#399C2313yes—
363#399C2313yes—
364#399C2313yes—
365#399C2313yescomplemented
366#399C2313yescomplemented
367#398C2313yescomplemented
368#398C2313yescomplemented
369#398C2313yescomplemented
370#398C2313yescomplemented
371#398C2313yescomplemented
372#398C2313yescomplemented
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#397C2313yes—
387#397C2313yes—
388#397C2313yes—
389#397C2313yes—
390#397C2313yes—
391#397C2313yes—
392#397C2313yes—
393#397C2313yescomplemented
394#397C2313yescomplemented
395#397C2313yescomplemented
396#397C2313yescomplemented
397#397C2313yescomplemented
398#397C2313yescomplemented
399#397C2313yescomplemented
400#396C2313yes—
401#396C2313yes—
402#396C2313yes—
403#396C2313yes—
404#396C2313yes—
405#396C2313yes—
406#396C2313yes—
407#396C2313yes—
408#396C2313yescomplemented
409#396C2313yescomplemented
410#396C2313yescomplemented
411#396C2313yescomplemented
412#396C2311yescharacteristic, complemented
413#395C2313yescomplemented
414#395C2313yescomplemented
415#395C2313yescomplemented
416#395C2313yescomplemented
417#395C2313yescomplemented
418#395C2313yescomplemented
419#395C2313yescomplemented
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#394C2313yes—
439#394C2313yes—
440#394C2313yes—
441#394C2313yes—
442#394C2313yes—
443#394C2313yes—
444#394C2313yes—
445#394C2313yes—
446#394C2313yescomplemented
447#394C2313yescomplemented
448#394C2313yescomplemented
449#394C2313yescomplemented
450#394C2313yescomplemented
451#394C2313yescomplemented
452#394C2313yescomplemented
453#393C2313yes—
454#393C2313yes—
455#393C2313yes—
456#393C2313yes—
457#393C2313yes—
458#393C2313yes—
459#393C2313yes—
460#393C2313yes—
461#393C2313yes—
462#393C2313yes—
463#393C2313yes—
464#393C2313yes—
465#393C2313yes—
466#393C2313yes—
467#393C2313yescomplemented
468#393C2313yescomplemented
469#393C2313yescomplemented
470#393C2313yescomplemented
471#393C2313yescomplemented
472#393C2313yescomplemented
473#393C2313yescomplemented
474#392C2313yes—
475#392C2313yes—
476#392C2313yes—
477#392C2313yes—
478#392C2313yes—
479#392C2313yes—
480#392C2313yes—
481#392C2313yes—
482#392C2313yes—
483#392C2313yes—
484#392C2313yes—
485#392C2313yes—
486#392C2313yes—
487#392C2313yes—
488#392C2313yes—
489#392C2313yes—
490#392C2313yescomplemented
491#392C2313yescomplemented
492#392C2313yescomplemented
493#391C2313yescomplemented
494#391C2313yescomplemented
495#391C2313yescomplemented
496#391C2313yescomplemented
497#391C2313yescomplemented
498#391C2313yescomplemented
499#390C2313yes—
500#390C2313yes—
501#390C2313yes—
502#390C2313yes—
503#390C2313yes—
504#390C2313yes—
505#390C2313yes—
506#390C2313yes—
507#390C2313yes—
508#390C2313yes—
509#390C2313yes—
510#390C2313yes—
511#390C2313yescomplemented
512#390C2313yescomplemented
513#390C2313yescomplemented
514#389C2313yescomplemented
515#389C2313yescomplemented
516#389C2313yescomplemented
517#389C2313yescomplemented
518#389C2313yescomplemented
519#388C2313yes—
520#388C2313yes—
521#388C2313yes—
522#388C2313yes—
523#388C2313yes—
524#388C2313yes—
525#388C2313yes—
526#388C2313yes—
527#388C2313yes—
528#388C2313yes—
529#388C2313yes—
530#388C2313yes—
531#388C2313yes—
532#388C2313yes—
533#388C2313yes—
534#388C2313yes—
535#388C2313yes—
536#388C2313yes—
537#388C2313yes—
538#388C2313yes—
539#388C2313yes—
540#388C2313yes—
541#388C2313yes—
542#388C2313yes—
543#388C2313yes—
544#388C2313yes—
545#388C2313yes—
546#388C2313yes—
547#388C2313yes—
548#388C2313yes—
549#388C2313yes—
550#388C2313yes—
551#388C2313yescomplemented
552#388C2313yescomplemented
553#388C2313yescomplemented
554#388C2313yescomplemented
555#388C2313yescomplemented
556#388C2313yescomplemented
557#388C2313yescomplemented
558#388C2313yescomplemented
559#388C2313yescomplemented
560#388C2313yescomplemented
561#388C2313yescomplemented
562#388C2313yescomplemented
563#388C2313yescomplemented
564#387C2313yescomplemented
565#387C2313yescomplemented
566#387C2313yescomplemented
567#387C2313yescomplemented
568#387C2313yescomplemented
569#387C2313yescomplemented
570#387C2313yescomplemented
571#387C2313yescomplemented
572#387C2313yescomplemented
573#387C2313yescomplemented
574#387C2313yescomplemented
575#387C2313yescomplemented
576#387C2313yescomplemented
577#387C2313yescomplemented
578#387C2313yescomplemented
579#387C2313yescomplemented
580#387C2313yescomplemented
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#386C2313yes—
615#386C2313yes—
616#386C2313yes—
617#386C2313yes—
618#386C2313yes—
619#386C2313yes—
620#386C2313yes—
621#386C2313yes—
622#386C2313yes—
623#386C2313yes—
624#386C2313yescomplemented
625#386C2313yescomplemented
626#386C2313yescomplemented
627#386C2313yescomplemented
628#386C2313yescomplemented
629#386C2313yescomplemented
630#386C2313yescomplemented
631#386C2313yescomplemented
632#386C2313yescomplemented
633#386C2313yescomplemented
634#386C2313yescomplemented
635#386C2313yescomplemented
636#386C2313yescomplemented
637#386C2313yescomplemented
638#386C2313yescomplemented
639#386C2313yescomplemented
640#385C2313yes—
641#385C2313yes—
642#385C2313yes—
643#385C2313yes—
644#385C2313yes—
645#385C2313yes—
646#385C2313yes—
647#385C2313yes—
648#385C2313yes—
649#385C2313yes—
650#385C2313yes—
651#385C2313yescomplemented
652#385C2313yescomplemented
653#385C2313yescomplemented
654#385C2313yescomplemented
655#385C2313yescomplemented
656#385C2313yescomplemented
657#385C2313yescomplemented
658#385C2313yescomplemented
659#385C2313yescomplemented
660#385C2313yescomplemented
661#385C2313yescomplemented
662#385C2313yescomplemented
663#384C2311yescharacteristic, complemented
664#383C2311yescharacteristic, complemented
665#383C2313yescomplemented
666#383C2313yescomplemented
667#381C2313yes—
668#381C2313yes—
669#381C2313yes—
670#381C2313yes—
671#381C2313yes—
672#381C2313yes—
673#381C2313yescomplemented
674#381C2313yescomplemented
675#381C2313yescomplemented
676#381C2313yescomplemented
677#381C2313yescomplemented
678#380C2313yes—
679#380C2313yes—
680#380C2313yes—
681#380C2313yes—
682#380C2313yes—
683#380C2313yes—
684#380C2313yes—
685#380C2313yescomplemented
686#380C2313yescomplemented
687#380C2313yescomplemented
688#380C2313yescomplemented
689#380C2313yescomplemented
690#380C2313yescomplemented
691#380C2313yescomplemented
692#379C2313yes—
693#379C2313yes—
694#379C2313yes—
695#379C2313yes—
696#379C2313yes—
697#379C2311yescharacteristic
698#379C2313yes—
699#379C2313yes—
700#379C2313yes—
701#379C2313yes—
702#379C2313yes—
703#379C2313yes—
704#379C2313yes—
705#379C2313yes—
706C4×C4⋊C4C2313yescomplemented
707C4×C4⋊C4C2313yescomplemented
708C4×C22⋊C4C2313yes—
709C4×C22⋊C4C2313yes—
710C4×C22⋊C4C2313yes—
711C4×C22⋊C4C2313yes—
712C4×C22⋊C4C2313yescomplemented
713C4×C22⋊C4C2313yescomplemented
714C4×C22⋊C4C2313yescomplemented
715C4×C22⋊C4C2313yescomplemented
716C4×C22⋊C4C2313yescomplemented
717C4×C22⋊C4C2313yescomplemented
718#376C2313yescomplemented
719C2×#95C2311yescharacteristic
720C2×#95C2313yes—
721C2×#95C2313yes—
722C2×#95C2313yes—
723C2×#95C2313yescomplemented
724C2×#95C2313yescomplemented
725C2×#95C2313yescomplemented
726C25—46no—
727C25—46no—
728C25—81no—
729C25C2413yes—
730C25C2413yes—
731C25C2413yes—
732C25C2411yescharacteristic
7332−1+4—464no—
734C2×#41—212no—
735C2×#41—212no—
736C2×#41—212no—
737C2×#41—46no—
738C2×#41—46no—
739C2×#41—46no—
740C2×#41—46no—
741C2×#41—46no—
742C2×#41—46no—
743C2×#41—46no—
744C22×Q8—46no—
745C22×Q8—46no—
746C22×Q8—46no—
747C22×Q8—46no—
748C22×Q8—46no—
749C22×Q8C2413yes—
750C22×Q8C2413yes—
751C22×Q8C2413yes—
752C22×Q8C2411yescharacteristic
753C22×D4—212no—
754C22×D4—46no—
755C22×D4—46no—
756C22×D4—46no—
757C22×D4—46no—
758C22×D4—46no—
759C22×D4—46no—
760C22×D4—46no—
761C22×D4—83no—
762C22×D4C2413yes—
763C22×D4C2411yescharacteristic
764C22×D4C2413yes—
765C22×D4C2413yes—
766C22×D4C2413yes—
767C22×D4C2413yes—
768C22×D4C2413yes—
769C22×D4C2413yes—
770C22×D4C2413yes—
771C22×D4C2413yes—
772C22×D4C2413yes—
773C22×D4C2413yes—
774C22×D4C2413yes—
775C22×D4C2413yes—
776C22×D4C2413yes—
777C22×D4C2413yes—
778C22×D4C2413yes—
779C22×D4C2413yes—
780C22×D4C2413yes—
781C22×D4C2413yes—
782C22×D4C2413yes—
783C23×C4C2413yes—
784C23×C4C2413yes—
785C23×C4C2413yes—
786C23×C4C2413yes—
787C23×C4C2413yes—
788C23×C4C2413yes—
789C23×C4C2413yes—
790C23×C4C2413yes—
791C23×C4C2413yes—
792C23×C4C2413yes—
793C23×C4C2413yes—
794C23×C4C2413yes—
795C23×C4C2413yes—
796C23×C4C2413yes—
797C23×C4C2413yes—
798C23×C4C2413yes—
799#127—81no—
800#126—46no—
801#126—46no—
802#126—81no—
803#125—46no—
804#124—46no—
805#124—46no—
806#124—46no—
807#123—46no—
808#123—46no—
809#123—46no—
810#123—46no—
811#123—46no—
812#123—46no—
813#123—46no—
814#123—46no—
815#123—46no—
816#123—46no—
817#123—83no—
818C22⋊Q8—46no—
819C22⋊Q8—46no—
820C22⋊Q8—46no—
821#121—212no—
822#121—212no—
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—83no—
836#120—212no—
837#120—212no—
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—83no—
851#120—81no—
852C4×D4—212no—
853C4×D4—46no—
854C4×D4—46no—
855C4×D4—46no—
856C4×D4—46no—
857C4×D4—46no—
858C4×D4—46no—
859C4×D4—46no—
860C4×D4—46no—
861C4×D4—46no—
862C4×D4—83no—
863C4×D4—83no—
864#117—46no—
865#117—83no—
866C2×C4⋊C4—46no—
867C2×C4⋊C4C2413yes—
868C2×C4⋊C4C2413yes—
869C2×C4⋊C4C2413yes—
870C2×C4⋊C4C2413yes—
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×C22⋊C4—46no—
899C2×C22⋊C4—46no—
900C2×C22⋊C4—46no—
901C2×C22⋊C4—46no—
902C2×C22⋊C4—46no—
903C2×C22⋊C4—46no—
904C2×C22⋊C4—46no—
905C2×C22⋊C4—46no—
906C2×C22⋊C4—46no—
907C2×C22⋊C4—46no—
908C2×C22⋊C4—46no—
909C2×C22⋊C4—46no—
910C2×C22⋊C4—83no—
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×C22⋊C4C2413yes—
984C2×C22⋊C4C2413yes—
985C2×C22⋊C4C2413yes—
986C2×C22⋊C4C2413yes—
987C2×C22⋊C4C2413yes—
988C2×C22⋊C4C2413yes—
989C2×C42—81no—
990C2×C42—81no—
991C2×C42C2413yes—
992C2×C42C2413yes—
993C2×C42C2413yes—
994C2×C42C2413yes—
995C2×C42C2413yes—
996C2×C42C2413yes—
997C2×C42C2413yes—
998C2×C42C2413yes—
999C2×C42C2413yes—
1000C2×C42C2411yescharacteristic
1001C2×C42C2411yescharacteristic
1002#95C2413yes—
1003#95C2413yes—
1004#95C2413yes—
1005#95C2413yes—
1006#95C2413yes—
1007#95C2413yes—
1008#95C2413yes—
1009#95C2413yes—
1010#95C2411yescharacteristic
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#95C2413yes—
1039#95C2413yes—
1040#95C2413yes—
1041#95C2413yes—
1042#95C2413yes—
1043#95C2413yes—
1044#95C2413yes—
1045#95C2413yes—
1046#95C2413yes—
1047#95C2413yes—
1048#95C2413yes—
1049#95C2413yes—
1050#95C2413yes—
1051#95C2413yes—
1052#95C2413yes—
1053#95C2413yes—
1054#95C2413yes—
1055#95C2413yes—
1056#95C2413yes—
1057#95C2413yes—
1058C24—26no—
1059C24—26no—
1060C24—26no—
1061C24—26no—
1062C24—26no—
1063C24—26no—
1064C24—26no—
1065C24—26no—
1066C24—43no—
1067C24—43no—
1068C24—43no—
1069C24—43no—
1070C24—43no—
1071C24—43no—
1072C24—43no—
1073C24—43no—
1074C24—43no—
1075C24—41no—
1076C24—43no—
1077C24—43no—
1078C24—43no—
1079C24—43no—
1080C24—43no—
1081C24—43no—
1082C24—824no—
1083C24—88no—
1084C24—824no—
1085C24C2513yes—
1086C24C2513yes—
1087C24C2511yescharacteristic
1088C24C2513yes—
1089C24C2513yes—
1090C24C2511yescharacteristic
1091#41—448no—
1092#41—448no—
1093#41—448no—
1094#41—416no—
1095C2×Q8—26no—
1096C2×Q8—26no—
1097C2×Q8—26no—
1098C2×Q8—43no—
1099C2×Q8—43no—
1100C2×Q8—43no—
1101C2×Q8—43no—
1102C2×Q8—43no—
1103C2×Q8—43no—
1104C2×Q8—43no—
1105C2×Q8—448no—
1106C2×Q8—416no—
1107C2×Q8—416no—
1108C2×D4—26no—
1109C2×D4—26no—
1110C2×D4—26no—
1111C2×D4—26no—
1112C2×D4—26no—
1113C2×D4—26no—
1114C2×D4—26no—
1115C2×D4—26no—
1116C2×D4—26no—
1117C2×D4—26no—
1118C2×D4—26no—
1119C2×D4—26no—
1120C2×D4—26no—
1121C2×D4—26no—
1122C2×D4—26no—
1123C2×D4—26no—
1124C2×D4—26no—
1125C2×D4—26no—
1126C2×D4—26no—
1127C2×D4—26no—
1128C2×D4—26no—
1129C2×D4—26no—
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—
1141C2×D4—43no—
1142C2×D4—43no—
1143C2×D4—43no—
1144C2×D4—43no—
1145C2×D4—43no—
1146C2×D4—43no—
1147C2×D4—43no—
1148C2×D4—43no—
1149C2×D4—43no—
1150C2×D4—43no—
1151C2×D4—43no—
1152C2×D4—43no—
1153C2×D4—43no—
1154C2×D4—43no—
1155C2×D4—43no—
1156C2×D4—43no—
1157C2×D4—43no—
1158C2×D4—43no—
1159C2×D4—43no—
1160C2×D4—43no—
1161C2×D4—43no—
1162C2×D4—43no—
1163C2×D4—43no—
1164C2×D4—43no—
1165C2×D4—43no—
1166C2×D4—43no—
1167C2×D4—43no—
1168C2×D4—824no—
1169C2×D4—824no—
1170C2×D4—824no—
1171C2×D4H(5,𝔽2)112yes—
1172C22×C4—26no—
1173C22×C4—26no—
1174C22×C4—26no—
1175C22×C4—26no—
1176C22×C4—26no—
1177C22×C4—26no—
1178C22×C4—26no—
1179C22×C4—26no—
1180C22×C4—26no—
1181C22×C4—26no—
1182C22×C4—26no—
1183C22×C4—26no—
1184C22×C4—26no—
1185C22×C4—26no—
1186C22×C4—26no—
1187C22×C4—43no—
1188C22×C4—43no—
1189C22×C4—43no—
1190C22×C4—43no—
1191C22×C4—43no—
1192C22×C4—43no—
1193C22×C4—43no—
1194C22×C4—43no—
1195C22×C4—43no—
1196C22×C4—43no—
1197C22×C4—43no—
1198C22×C4—43no—
1199C22×C4—43no—
1200C22×C4—43no—
1201C22×C4—43no—
1202C22×C4—43no—
1203C22×C4—43no—
1204C22×C4—43no—
1205C22×C4—43no—
1206C22×C4—43no—
1207C22×C4—43no—
1208C22×C4—43no—
1209C22×C4—43no—
1210C22×C4—43no—
1211C22×C4—43no—
1212C22×C4—43no—
1213C22×C4—43no—
1214C22×C4—43no—
1215C22×C4—43no—
1216C22×C4—43no—
1217C22×C4—43no—
1218C22×C4—43no—
1219C22×C4—43no—
1220C22×C4C2513yes—
1221C22×C4C2513yes—
1222C22×C4C2513yes—
1223C22×C4C2513yes—
1224C22×C4C2513yes—
1225C22×C4C2513yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2513yes—
1228C22×C4C2513yes—
1229C22×C4C2513yes—
1230C22×C4C2513yes—
1231C22×C4C2513yes—
1232C22×C4C2513yes—
1233C22×C4C2513yes—
1234C22×C4C2513yes—
1235C22×C4C2513yes—
1236C22×C4C2513yes—
1237C4⋊C4—26no—
1238C4⋊C4—26no—
1239C4⋊C4—26no—
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—
1249C4⋊C4—43no—
1250C4⋊C4—43no—
1251C4⋊C4—43no—
1252C4⋊C4—43no—
1253C4⋊C4—43no—
1254C4⋊C4—43no—
1255C4⋊C4—43no—
1256C4⋊C4—43no—
1257C4⋊C4—43no—
1258C4⋊C4—43no—
1259C4⋊C4—43no—
1260C4⋊C4—43no—
1261C4⋊C4—43no—
1262C4⋊C4—43no—
1263C4⋊C4—43no—
1264C4⋊C4—43no—
1265C4⋊C4—43no—
1266C4⋊C4—43no—
1267C4⋊C4—43no—
1268C22⋊C4—26no—
1269C22⋊C4—26no—
1270C22⋊C4—26no—
1271C22⋊C4—26no—
1272C22⋊C4—26no—
1273C22⋊C4—26no—
1274C22⋊C4—26no—
1275C22⋊C4—26no—
1276C22⋊C4—26no—
1277C22⋊C4—26no—
1278C22⋊C4—26no—
1279C22⋊C4—26no—
1280C22⋊C4—26no—
1281C22⋊C4—26no—
1282C22⋊C4—26no—
1283C22⋊C4—26no—
1284C22⋊C4—26no—
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—
1323C22⋊C4—43no—
1324C22⋊C4—43no—
1325C22⋊C4—43no—
1326C22⋊C4—43no—
1327C22⋊C4—43no—
1328C22⋊C4—43no—
1329C22⋊C4—43no—
1330C22⋊C4—43no—
1331C22⋊C4—43no—
1332C22⋊C4—43no—
1333C22⋊C4—43no—
1334C22⋊C4—43no—
1335C22⋊C4—43no—
1336C22⋊C4—43no—
1337C22⋊C4—43no—
1338C22⋊C4—43no—
1339C22⋊C4—43no—
1340C22⋊C4—43no—
1341C22⋊C4—43no—
1342C22⋊C4—43no—
1343C22⋊C4—43no—
1344C22⋊C4—43no—
1345C22⋊C4—43no—
1346C42—26no—
1347C42—43no—
1348C42—43no—
1349C42—41no—
1350C42—41no—
1351C42—43no—
1352C42—43no—
1353C42—43no—
1354C42—43no—
1355C42—43no—
1356C42—43no—
1357C23—23no—
1358C23—21no—
1359C23—23no—
1360C23—23no—
1361C23—23no—
1362C23—23no—
1363C23—23no—
1364C23—23no—
1365C23—23no—
1366C23—23no—
1367C23—23no—
1368C23—23no—
1369C23—23no—
1370C23—23no—
1371C23—23no—
1372C23—23no—
1373C23—23no—
1374C23—23no—
1375C23—23no—
1376C23—23no—
1377C23—23no—
1378C23—23no—
1379C23—23no—
1380C23—23no—
1381C23—23no—
1382C23—23no—
1383C23—23no—
1384C23—23no—
1385C23—21no—
1386C23—23no—
1387C23—23no—
1388C23—412no—
1389C23—412no—
1390C23—412no—
1391C23—412no—
1392C23—412no—
1393C23—412no—
1394C23—412no—
1395C23—86no—
1396C23—86no—
1397C23—86no—
1398C23—86no—
1399C23—86no—
1400C23—86no—
1401C23—86no—
1402C23—86no—
1403C23—86no—
1404C23—86no—
1405C23—86no—
1406C23—86no—
1407C23—86no—
1408C23—86no—
1409C23—82no—
1410C23—864no—
1411C23—163no—
1412C23—163no—
1413C23C2×H(5,𝔽2)16yes—
1414C23C2×H(5,𝔽2)16yes—
1415C23#58516yes—
1416C23C2611yescharacteristic
1417Q8—412no—
1418Q8—412no—
1419Q8—412no—
1420Q8—44no—
1421D4—224no—
1422D4—412no—
1423D4—412no—
1424D4—412no—
1425D4—412no—
1426D4—412no—
1427D4—44no—
1428D4—86no—
1429D4—86no—
1430D4—86no—
1431D4—86no—
1432D4—86no—
1433D4—86no—
1434D4—86no—
1435D4—86no—
1436D4—86no—
1437D4—86no—
1438D4—86no—
1439D4—163no—
1440D4—163no—
1441D4—163no—
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—23no—
1459C2×C4—23no—
1460C2×C4—23no—
1461C2×C4—23no—
1462C2×C4—23no—
1463C2×C4—23no—
1464C2×C4—23no—
1465C2×C4—23no—
1466C2×C4—23no—
1467C2×C4—23no—
1468C2×C4—23no—
1469C2×C4—23no—
1470C2×C4—23no—
1471C2×C4—23no—
1472C2×C4—23no—
1473C2×C4—23no—
1474C2×C4—23no—
1475C2×C4—23no—
1476C2×C4—23no—
1477C2×C4—23no—
1478C2×C4—23no—
1479C2×C4—23no—
1480C2×C4—23no—
1481C2×C4—23no—
1482C2×C4—23no—
1483C2×C4—23no—
1484C2×C4—23no—
1485C2×C4—23no—
1486C2×C4—23no—
1487C2×C4—23no—
1488C2×C4—23no—
1489C2×C4—23no—
1490C2×C4—412no—
1491C2×C4—412no—
1492C2×C4—412no—
1493C2×C4—412no—
1494C2×C4—412no—
1495C2×C4—86no—
1496C2×C4—86no—
1497C2×C4—86no—
1498C2×C4—86no—
1499C2×C4—86no—
1500C2×C4—86no—
1501C2×C4—86no—
1502C2×C4—86no—
1503C2×C4—163no—
1504C2×C4—163no—
1505C2×C4—163no—
1506C2×C4C2×H(5,𝔽2)16yes—
1507C22—26no—
1508C22—26no—
1509C22—26no—
1510C22—26no—
1511C22—26no—
1512C22—26no—
1513C22—26no—
1514C22—26no—
1515C22—43no—
1516C22—43no—
1517C22—43no—
1518C22—43no—
1519C22—43no—
1520C22—43no—
1521C22—43no—
1522C22—43no—
1523C22—43no—
1524C22—43no—
1525C22—43no—
1526C22—43no—
1527C22—43no—
1528C22—43no—
1529C22—43no—
1530C22—43no—
1531C22—43no—
1532C22—43no—
1533C22—43no—
1534C22—43no—
1535C22—43no—
1536C22—43no—
1537C22—41no—
1538C22—43no—
1539C22—43no—
1540C22—824no—
1541C22—824no—
1542C22—88no—
1543C22—1612no—
1544C22#353214yes—
1545C22C22×H(5,𝔽2)13yes—
1546C22C2×#58513yes—
1547C22H(7,𝔽2)11yescharacteristic
1548C4—26no—
1549C4—43no—
1550C4—43no—
1551C4—43no—
1552C4—43no—
1553C4—43no—
1554C4—43no—
1555C4—43no—
1556C4—43no—
1557C4—43no—
1558C4—43no—
1559C4—43no—
1560C4—43no—
1561C4—43no—
1562C4—43no—
1563C4—41no—
1564C4—43no—
1565C2—24no—
1566C2—46no—
1567C2—46no—
1568C2—81no—
1569C2—83no—
1570C2—83no—
1571C2C2×#353211yescharacteristic
1572C2#6291813yes—
1573C2#6301713yes—
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. #59943C2semidirect
2. #59407C2semidirect
3. #58991C2semidirect
4. #58918C2semidirect
5. #58075C2semidirect
6. #57958C2semidirect
7. #57853C2semidirect
8. #57669C2semidirect
9. #57603C2semidirect
10. #52912C2semidirect
11. C2×#2736C2semidirect
12. #47189C2semidirect
13. #47042C2semidirect
14. #44236C2semidirect
15. #43574C2semidirect
16. #43530C2semidirect
17. #40922C2semidirect
18. #40893C2semidirect
19. #40692C2semidirect
20. #38512C2semidirect
21. #38423C2semidirect
22. #37832C2semidirect
23. #36078C2semidirect
24. C22×2−1+4C22semidirect
25. C2×#553C22semidirect
26. C2×#546C22semidirect
27. C2×#546C22semidirect
28. C2×#546C22semidirect
30. #2856C22semidirect
31. #2852C22semidirect
33. #2841C22semidirect
34. #2838C22semidirect
35. #2838C22semidirect
36. #2831C22semidirect
37. #2830C22semidirect
38. #2830C22semidirect
39. #2825C22semidirect
40. #2824C22semidirect
41. #2824C22semidirect
42. #2824C22semidirect
43. #2808C22semidirect
44. #2798C22semidirect
45. #2797C22semidirect
46. #2788C22semidirect
47. #2786C22semidirect
48. #2784C22semidirect
49. #2784C22semidirect
50. #2779C22semidirect
51. #2778C22semidirect
52. #2778C22semidirect
53. #2760C22semidirect
54. #2756C22semidirect
55. #2752C22semidirect
56. #2751C22semidirect
57. #2750C22semidirect
58. #2749C22semidirect
59. #2746C22semidirect
60. #2745C22semidirect
61. #2743C22semidirect
62. #2743C22semidirect
63. #2742C22semidirect
64. #2737C22semidirect
65. #2737C22semidirect
66. #2737C22semidirect
67. #2737C22semidirect
68. #2736C22semidirect
69. #2736C22semidirect
70. #2736C22semidirect
71. #2736C22semidirect
72. #2736C22semidirect
73. #2736C22semidirect
74. #2720C22semidirect
75. #2718C22semidirect
76. #2715C22semidirect
77. #2711C22semidirect
78. #2710C22semidirect
79. #2708C22semidirect
80. #2707C22semidirect
81. #2703C22semidirect
82. #2703C22semidirect
83. #2703C22semidirect
84. #2702C22semidirect
85. #2699C22semidirect
87. #2697C22semidirect
88. #2697C22semidirect
89. #2696C22semidirect
90. #2694C22semidirect
91. #2691C22semidirect
92. #2690C22semidirect
93. #2688C22semidirect
94. #2688C22semidirect
95. #2685C22semidirect
97. #2684C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2673C22semidirect
103. #2670C22semidirect
104. #2669C22semidirect
106. #2668C22semidirect
107. #2668C22semidirect
108. #2668C22semidirect
109. #2662C22semidirect
110. #2661C22semidirect
111. #2653C22semidirect
112. #2650C22semidirect
113. #2648C22semidirect
114. #2643C22semidirect
115. #2643C22semidirect
116. #2635C22semidirect
117. #2630C22semidirect
118. #2626C22semidirect
119. #2615C22semidirect
120. #2614C22semidirect
121. #2614C22semidirect
122. #2613C22semidirect
123. #2610C22semidirect
124. #2603C22semidirect
125. #2598C22semidirect
126. #2591C22semidirect
127. #2589C22semidirect
128. #2579C22semidirect
129. #2578C22semidirect
130. #2572C22semidirect
131. #2561C22semidirect
132. #2559C22semidirect
133. #2559C22semidirect
134. #2557C22semidirect
135. #2556C22semidirect
136. #2554C22semidirect
138. #2534C22semidirect
139. #2534C22semidirect
140. #2534C22semidirect
141. #2532C22semidirect
142. #2527C22semidirect
143. #2526C22semidirect
144. #2516C22semidirect
145. #2510C22semidirect
146. #2510C22semidirect
147. #2498C22semidirect
148. #2493C22semidirect
149. #2493C22semidirect
150. #2487C22semidirect
151. #2483C22semidirect
152. #2480C22semidirect
153. #2477C22semidirect
154. #2474C22semidirect
157. #2471C22semidirect
158. #2471C22semidirect
159. #2468C22semidirect
160. #2467C22semidirect
161. #2466C22semidirect
162. #2457C22semidirect
163. #2456C22semidirect
164. #2444C22semidirect
165. #2444C22semidirect
166. #2437C22semidirect
167. #2436C22semidirect
168. #2436C22semidirect
169. #2436C22semidirect
170. #2430C22semidirect
171. #2430C22semidirect
172. #2430C22semidirect
173. #2430C22semidirect
174. #2430C22semidirect
175. #2430C22semidirect
176. #2425C22semidirect
177. #2425C22semidirect
178. #2425C22semidirect
179. #2425C22semidirect
182. #2424C22semidirect
183. #2424C22semidirect
184. #2424C22semidirect
185. #2419C22semidirect
186. #2419C22semidirect
189. #2418C22semidirect
190. #2418C22semidirect
191. #2418C22semidirect
192. #2418C22semidirect
193. #2414C22semidirect
194. #2412C22semidirect
195. #2412C22semidirect
196. #2412C22semidirect
197. #2412C22semidirect
198. #2411C22semidirect
201. #2410C22semidirect
202. #2410C22semidirect
203. #2410C22semidirect
204. #2409C22semidirect
205. #2409C22semidirect
206. #2409C22semidirect
209. #2405C22semidirect
211. #2404C22semidirect
212. #2404C22semidirect
213. #2404C22semidirect
214. #2404C22semidirect
215. #2404C22semidirect
216. #2403C22semidirect
217. C2×#397C22semidirect
218. #2388C22semidirect
219. C2×#393C22semidirect
220. C2×#393C22semidirect
221. #2364C22semidirect
222. #2359C22semidirect
223. #2358C22semidirect
224. #2358C22semidirect
225. #2353C22semidirect
226. #2342C22semidirect
227. #2339C22semidirect
228. #2339C22semidirect
229. #2339C22semidirect
230. D4×C22⋊C4C22semidirect
231. D4×C22⋊C4C22semidirect
232. D4×C22⋊C4C22semidirect
233. #2335C22semidirect
234. #2325C22semidirect
235. #2325C22semidirect
236. #2324C22semidirect
237. #2321C22semidirect
238. #2321C22semidirect
239. #2308C22semidirect
240. C4×#121C22semidirect
241. #2290C22semidirect
242. C2×#388C22semidirect
243. C2×#388C22semidirect
249. C22×#41C23semidirect
250. C22×#41C23semidirect
252. C23×Q8C23semidirect
253. C23×Q8C23semidirect
261. C2×#127C23semidirect
262. C2×#126C23semidirect
263. C2×#126C23semidirect
264. C2×#126C23semidirect
265. C2×#125C23semidirect
278. C2×#123C23semidirect
279. C2×#123C23semidirect
297. C2×#121C23semidirect
325. C2×C4×D4C23semidirect
326. C2×C4×D4C23semidirect
327. C2×#117C23semidirect
328. C2×#117C23semidirect
345. #401C23semidirect
346. #401C23semidirect
347. #401C23semidirect
348. #400C23semidirect
349. #400C23semidirect
350. #400C23semidirect
351. #400C23semidirect
352. #400C23semidirect
353. #400C23semidirect
354. #400C23semidirect
355. #400C23semidirect
356. #400C23semidirect
357. #400C23semidirect
358. #400C23semidirect
359. #400C23semidirect
360. #400C23semidirect
365. #399C23semidirect
366. #399C23semidirect
367. #398C23semidirect
368. #398C23semidirect
369. #398C23semidirect
370. #398C23semidirect
371. #398C23semidirect
372. #398C23semidirect
393. #397C23semidirect
394. #397C23semidirect
395. #397C23semidirect
396. #397C23semidirect
397. #397C23semidirect
398. #397C23semidirect
399. #397C23semidirect
408. #396C23semidirect
409. #396C23semidirect
410. #396C23semidirect
411. #396C23semidirect
412. #396C23semidirect
413. #395C23semidirect
414. #395C23semidirect
415. #395C23semidirect
416. #395C23semidirect
417. #395C23semidirect
418. #395C23semidirect
419. #395C23semidirect
446. #394C23semidirect
447. #394C23semidirect
448. #394C23semidirect
449. #394C23semidirect
450. #394C23semidirect
451. #394C23semidirect
452. #394C23semidirect
467. #393C23semidirect
468. #393C23semidirect
469. #393C23semidirect
470. #393C23semidirect
471. #393C23semidirect
472. #393C23semidirect
473. #393C23semidirect
490. #392C23semidirect
491. #392C23semidirect
492. #392C23semidirect
493. #391C23semidirect
494. #391C23semidirect
495. #391C23semidirect
496. #391C23semidirect
497. #391C23semidirect
498. #391C23semidirect
511. #390C23semidirect
512. #390C23semidirect
513. #390C23semidirect
514. #389C23semidirect
515. #389C23semidirect
516. #389C23semidirect
517. #389C23semidirect
518. #389C23semidirect
551. #388C23semidirect
552. #388C23semidirect
553. #388C23semidirect
554. #388C23semidirect
555. #388C23semidirect
556. #388C23semidirect
557. #388C23semidirect
558. #388C23semidirect
559. #388C23semidirect
560. #388C23semidirect
561. #388C23semidirect
562. #388C23semidirect
563. #388C23semidirect
564. #387C23semidirect
565. #387C23semidirect
566. #387C23semidirect
567. #387C23semidirect
568. #387C23semidirect
569. #387C23semidirect
570. #387C23semidirect
571. #387C23semidirect
572. #387C23semidirect
573. #387C23semidirect
574. #387C23semidirect
575. #387C23semidirect
576. #387C23semidirect
577. #387C23semidirect
578. #387C23semidirect
579. #387C23semidirect
580. #387C23semidirect
624. #386C23semidirect
625. #386C23semidirect
626. #386C23semidirect
627. #386C23semidirect
628. #386C23semidirect
629. #386C23semidirect
630. #386C23semidirect
631. #386C23semidirect
632. #386C23semidirect
633. #386C23semidirect
634. #386C23semidirect
635. #386C23semidirect
636. #386C23semidirect
637. #386C23semidirect
638. #386C23semidirect
639. #386C23semidirect
651. #385C23semidirect
652. #385C23semidirect
653. #385C23semidirect
654. #385C23semidirect
655. #385C23semidirect
656. #385C23semidirect
657. #385C23semidirect
658. #385C23semidirect
659. #385C23semidirect
660. #385C23semidirect
661. #385C23semidirect
662. #385C23semidirect
663. #384C23semidirect
664. #383C23semidirect
665. #383C23semidirect
666. #383C23semidirect
673. #381C23semidirect
674. #381C23semidirect
675. #381C23semidirect
676. #381C23semidirect
677. #381C23semidirect
685. #380C23semidirect
686. #380C23semidirect
687. #380C23semidirect
688. #380C23semidirect
689. #380C23semidirect
690. #380C23semidirect
691. #380C23semidirect
706. C4×C4⋊C4C23semidirect
707. C4×C4⋊C4C23semidirect
712. C4×C22⋊C4C23semidirect
713. C4×C22⋊C4C23semidirect
714. C4×C22⋊C4C23semidirect
715. C4×C22⋊C4C23semidirect
716. C4×C22⋊C4C23semidirect
717. C4×C22⋊C4C23semidirect
718. #376C23semidirect
723. C2×#95C23semidirect
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
#599432
#594072
#589912
#589182
#580752
#579582
#578532
#576692
#576032
#529122
C2×#27362
#471892
#470422
#442362
#435742
#435302
#409222
#408932
#406922
#385122
#384232
#378322
#360782