Finite Group Databasebeta

← #7690633

Subgroups — #7690633

Order 512.

4838 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59701C212yesmaximal, complemented
2#59579C214yesmaximal, complemented
3#59504C212yesmaximal, complemented
4#59467C211yesmaximal, characteristic, complemented
5#59398C212yesmaximal, complemented
6#59228C212yesmaximal, complemented
7#59065C211yesmaximal, characteristic, complemented
8#59049C211yesmaximal, characteristic, complemented
9#45260C212yesmaximal, complemented
10#45189C212yesmaximal, complemented
11#44018C214yesmaximal, complemented
12#43956C214yesmaximal, complemented
13#40297C214yesmaximal, complemented
14#39539C212yesmaximal, complemented
15#39479C211yesmaximal, characteristic, complemented
16#39069C212yesmaximal, complemented
17#39033C212yesmaximal, complemented
18#38942C211yesmaximal, characteristic, complemented
19#36589C212yesmaximal, complemented
20#36537C212yesmaximal, complemented
21#36463C211yesmaximal, characteristic, complemented
22#36414C212yesmaximal, complemented
23#36302C211yesmaximal, characteristic, complemented
24#36300C211yesmaximal, characteristic, complemented
25#36193C211yesmaximal, characteristic, complemented
26#36150C211yesmaximal, characteristic, complemented
27#35968C212yesmaximal, complemented
28#35793C212yesmaximal, complemented
29#34898C211yesmaximal, characteristic, complemented
30#34797C212yesmaximal, complemented
31#34263C212yesmaximal, complemented
32#34231C211yesmaximal, characteristic, complemented
33#34206C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#520C2212yes—
41#2861C2212yes—
42#2860C2214yes—
43#2860C2212yes—
44#2858C2211yescharacteristic
45#2857C2211yescharacteristic
46#2856C2211yescharacteristic
47#2855C2212yes—
48#2854C2212yes—
49#2803C2214yes—
50#2797C2214yes—
51#2795C2214yes—
52#2791C2214yes—
53#2773C2214yes—
54#2773C2214yes—
55#2770C2214yes—
56#2756C2214yes—
57#2756C2214yes—
58#2756C2214yes—
59#2754C2214yes—
60#2753C2214yes—
61#2747C2214yes—
62#2741C2214yes—
63#2741C2214yes—
64#2741C2214yes—
65#2738C2214yes—
66#2723C2214yes—
67#2714C2214yes—
68#2702C2214yes—
69#2699C2214yes—
70#2651C2214yes—
71#2641C2212yes—
72#2635C2214yes—
73#2624C2212yes—
74#2602C2214yes—
75#2601C2214yes—
76#2600C2214yes—
77#2597C2214yes—
78#2597C2214yes—
79#2596C2214yes—
80#2595C2214yes—
81#2593C2214yes—
82#2593C2214yes—
83#2590C2214yes—
84#2578C2214yes—
85#2577C2212yes—
86#2577C2214yes—
87#2575C2212yes—
88#2575C2214yes—
89#2573C2214yes—
90#2570C2211yescharacteristic
91#2567C2211yescharacteristic
92#2565C2212yes—
93#2565C2211yescharacteristic
94#2563C2211yescharacteristic
95#2562C2212yes—
96#2562C2211yescharacteristic
97#2559C2214yes—
98#2557C2214yes—
99#2554C2214yes—
100#2553C2214yes—
101#2552C2211yescharacteristic
102#2552C2211yescharacteristic
103#2552C2212yes—
104#2548C2212yes—
105#2548C2211yescharacteristic
106#2541C2211yescharacteristic
107#2540C2212yes—
108#2540C2212yes—
109#2537C2212yes—
110#2536C2211yescharacteristic
111#2531C2214yes—
112#2531C2214yes—
113#2531C2214yes—
114#2531C2214yes—
115#2529C2214yes—
116#2529C2214yes—
117#2526C2214yes—
118#2525C2214yes—
119#2524C2212yes—
120#2521C2214yes—
121#2520C2214yes—
122#2518C2214yes—
123#2516C2214yes—
124#2513C2212yes—
125#2513C2212yes—
126#2513C2212yes—
127#2512C2212yes—
128#2512C2212yes—
129#2511C2212yes—
130#2509C2212yes—
131#2509C2212yes—
132#2508C2212yes—
133#2507C2212yes—
134#2507C2212yes—
135#2500C2212yes—
136#2500C2214yes—
137#2500C2212yes—
138#2496C2212yes—
139#2496C2211yescharacteristic
140#2495C2211yescharacteristic
141#2495C2214yes—
142#2490C2212yes—
143#2490C2212yes—
144#2490C2212yes—
145#2490C2212yes—
146#2489C2212yes—
147#2485C2212yes—
148#2481C2214yes—
149#2479C2214yes—
150#2479C2214yes—
151#2476C2214yes—
152#2474C2214yes—
153#2471C2214yes—
154#2469C2214yes—
155#2468C2214yes—
156#2468C2212yes—
157#2467C2214yes—
158#2467C2214yes—
159#2459C2214yes—
160#2454C2212yes—
161#2454C2212yes—
162#2453C2212yes—
163#2453C2212yes—
164#2448C2212yes—
165#2448C2212yes—
166#2448C2212yes—
167#2448C2212yes—
168#2445C2212yes—
169#2443C2214yes—
170#2442C2212yes—
171#2441C2212yes—
172#2441C2212yes—
173#2438C2214yes—
174#2431C2212yes—
175#2428C2212yes—
176#2427C2212yes—
177#2427C2212yes—
178#2427C2212yes—
179#2426C2212yes—
180#2426C2212yes—
181#2426C2212yes—
182#2423C2211yescharacteristic
183#2421C2211yescharacteristic
184#2421C2212yes—
185#2420C2212yes—
186#2420C2212yes—
187#2415C2212yes—
188#2414C2212yes—
189#2414C2212yes—
190#2414C2214yes—
191#2414C2212yes—
192#2407C2212yes—
193#2402C2212yes—
194#2395C2212yes—
195#2395C2214yes—
196#2392C2214yes—
197#2374C2214yes—
198#2374C2212yes—
199#2373C2212yes—
200#2373C2214yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2211yescharacteristic
204#2369C2211yescharacteristic
205#2369C2211yescharacteristic
206#2367C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2367C2212yes—
210#2367C2212yes—
211#2366C2211yescharacteristic
212#2366C2212yes—
213#2366C2211yescharacteristic
214#2365C2211yescharacteristic
215#2365C2211yescharacteristic
216#2365C2211yescharacteristic
217#2364C2212yes—
218#2363C2212yes—
219#2363C2211yescharacteristic
220#2363C2212yes—
221#2363C2212yes—
222#2362C2212yes—
223#2362C2212yes—
224#2362C2212yes—
225#2361C2211yescharacteristic
226#2357C2214yes—
227#2357C2212yes—
228#2357C2211yescharacteristic
229#2356C2212yes—
230#2356C2214yes—
231#2355C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2212yes—
234#2354C2212yes—
235#2354C2212yes—
236#2354C2214yes—
237#2354C2212yes—
238#2353C2212yes—
239#2352C2211yescharacteristic
240#2352C2214yes—
241#2351C2212yes—
242Q8×C4⋊C4C2212yes—
243D4×C4⋊C4C2212yes—
244#2347C2212yes—
245#2347C2212yes—
246#2347C2211yescharacteristic
247#2346C2212yes—
248#2345C2214yes—
249#2345C2211yescharacteristic
250#2344C2212yes—
251#2344C2214yes—
252#2341C2212yes—
253#2341C2212yes—
254#2332C2214yes—
255#2325C2214yes—
256#2320C2212yes—
257#2319C2212yes—
258#2319C2214yes—
259#2314C2212yes—
260#2314C2214yes—
261#2311C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×#125C2211yescharacteristic
264C4×#125C2211yescharacteristic
265C4×#125C2212yes—
266C4×#125C2212yes—
267C4×#126C2212yes—
268C4×#126C2214yes—
269C4×#126C2212yes—
270C4×#126C2214yes—
271C4×#124C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×#123C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279C4×#121C2212yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282#2298C2214yes—
283#2298C2212yes—
284#2293C2212yes—
285#2293C2214yes—
286#2293C2212yes—
287#2285C2211yescharacteristic
288#2285C2212yes—
289#2283C2211yescharacteristic
290#2276C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#556—28no—
301#553—28no—
302#533—28no—
303#532—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×#127C2311yescharacteristic
307C2×#127C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×#121C2312yes—
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342#520—216no—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2314yes—
372C2×#117C2312yes—
373C2×#117C2314yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2314yes—
380C2×#117C2314yes—
381C2×#117C2314yes—
382C22×C4⋊C4C2314yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2312yes—
388C22×C42C2312yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#399C2314yes—
402#399C2312yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2312yes—
411#398C2312yes—
412#398C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2312yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#395C2314yes—
441#394C2314yes—
442#394C2312yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#393C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2314yes—
482#390C2312yes—
483#390C2314yes—
484#390C2312yes—
485#390C2314yes—
486#390C2314yes—
487#390C2314yes—
488#390C2312yes—
489#390C2314yes—
490#390C2312yes—
491#390C2314yes—
492#390C2314yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2312yes—
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2314yes—
524#389C2311yescharacteristic
525#389C2314yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2312yes—
550#388C2314yes—
551#388C2312yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#384C2311yescharacteristic
673#384C2312yes—
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2314yes—
677#384C2311yescharacteristic
678#384C2312yes—
679#383C2312yes—
680#383C2312yes—
681#383C2314yes—
682#383C2314yes—
683#383C2312yes—
684#382C2311yescharacteristic
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2314yes—
690#382C2312yes—
691#382C2314yes—
692#382C2312yes—
693#382C2314yes—
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2312yes—
698#381C2312yes—
699#380C2311yescharacteristic
700#380C2312yes—
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2312yes—
704#380C2311yescharacteristic
705#380C2311yescharacteristic
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2314yes—
720#380C2314yes—
721#380C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806#376C2312yes—
807#376C2314yes—
808#376C2312yes—
809#376C2314yes—
810C2×#95C2312yes—
811C43C2314yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C2×#41—28no—
816C2×#41—28no—
817C2×#41—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2414yes—
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C4⋊Q8—24no—
847C4⋊Q8#4118yes—
848#127—24no—
849#127—44no—
850#126—28no—
851#126—216no—
852#126—44no—
853#126—48no—
854#126—84no—
855#125—28no—
856#125—24no—
857#125—42no—
858#125—44no—
859#125—44no—
860#124—28no—
861#124—28no—
862#124—44no—
863#124—44no—
864#124—82no—
865#123—28no—
866#123—48no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—42no—
871C22⋊Q8—42no—
872C22⋊Q8—82no—
873#121—28no—
874#121—24no—
875#121—28no—
876#121—28no—
877#121—24no—
878#121—44no—
879#121—44no—
880#121—44no—
881#121—44no—
882#121—82no—
883#121—84no—
884C4×Q8—28no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—28no—
888C4×Q8—28no—
889C4×Q8—24no—
890C4×Q8—42no—
891C4×Q8—44no—
892C4×Q8—42no—
893C4×Q8—44no—
894C4×D4—216no—
895C4×D4—216no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—42no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—42no—
908C4×D4—44no—
909C4×D4—42no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—84no—
913#117—28no—
914#117—216no—
915#117—28no—
916#117—24no—
917#117—28no—
918#117—42no—
919#117—44no—
920#117—84no—
921#117—84no—
922#117—84no—
923C2×C4⋊C4—216no—
924C2×C4⋊C4—42no—
925C2×C4⋊C4#4118yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C42—24no—
1048C2×C42—24no—
1049C2×C42—44no—
1050C2×C42—44no—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2412yes—
1113#95C2411yescharacteristic
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165C24C2512yes—
1166C24C2511yescharacteristic
1167C24C2514yes—
1168C24C2511yescharacteristic
1169#41—432no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8C2×#4118yes—
1179C2×D4—28no—
1180C2×D4—24no—
1181C2×D4—22no—
1182C2×D4—24no—
1183C2×D4—22no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—28no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—41no—
1195C2×D4—42no—
1196C2×D4—41no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—42no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—28no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—28no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—28no—
1231C22×C4—28no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4C2×#4114yes—
1253C22×C4C2×#4118yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2514yes—
1272C22×C4C2514yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—41no—
1322C4⋊C4—42no—
1323C4⋊C4—41no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4C2×#4118yes—
1346C4⋊C4C2×#4114yes—
1347C4⋊C4C2×#4114yes—
1348C4⋊C4C2×#4118yes—
1349C4⋊C4C2×#4118yes—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—22no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—22no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—28no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—28no—
1413C42—28no—
1414C42—24no—
1415C42—24no—
1416C42—24no—
1417C42—28no—
1418C42—28no—
1419C42—22no—
1420C42—24no—
1421C42—24no—
1422C42—22no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—42no—
1431C42—42no—
1432C42—42no—
1433C42—42no—
1434C42—44no—
1435C42—42no—
1436C42—42no—
1437C42—44no—
1438C42—42no—
1439C42—44no—
1440C42—44no—
1441C42—42no—
1442C42—44no—
1443C42—42no—
1444C42—44no—
1445C42—42no—
1446C42—41no—
1447C42C2×#4114yes—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—22no—
1455C23—21no—
1456C23—22no—
1457C23—21no—
1458C23—24no—
1459C23—24no—
1460C23—21no—
1461C23—24no—
1462C23—21no—
1463C23—24no—
1464C23—22no—
1465C23—22no—
1466C23—24no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—22no—
1471C23—24no—
1472C23—22no—
1473C23—24no—
1474C23—21no—
1475C23C22×#4112yes—
1476C23C2611yescharacteristic
1477Q8—216no—
1478Q8—44no—
1479Q8—84no—
1480D4—416no—
1481D4—44no—
1482D4—48no—
1483D4—44no—
1484D4—48no—
1485D4—48no—
1486D4—84no—
1487D4—84no—
1488D4—88no—
1489D4—164no—
1490D4—164no—
1491C2×C4—24no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—24no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—28no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—24no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—48no—
1574C2×C4—416no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—88no—
1580C2×C4—84no—
1581C2×C4—88no—
1582C2×C4—82no—
1583C2×C4—82no—
1584C2×C4—84no—
1585C2×C4—84no—
1586C2×C4C22×#4114yes—
1587C2×C4C22×#4112yes—
1588C2×C4C22×#4118yes—
1589C2×C4C22×#4114yes—
1590C2×C4C22×#4112yes—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4#58512yes—
1595C2×C4#58512yes—
1596C2×C4#58512yes—
1597C2×C4#58512yes—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—44no—
1606C22—42no—
1607C22—41no—
1608C22—41no—
1609C22—44no—
1610C22—42no—
1611C22—42no—
1612C22—44no—
1613C22—41no—
1614C22—42no—
1615C22—41no—
1616C22—44no—
1617C22—41no—
1618C22—42no—
1619C22—44no—
1620C22—44no—
1621C22—41no—
1622C22—42no—
1623C22—42no—
1624C22—44no—
1625C22—41no—
1626C22C23×#4111yescharacteristic
1627C22C23×#4111yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22C2×#58511yescharacteristic
1630C22C2×#58511yescharacteristic
1631C22C2×#58511yescharacteristic
1632C22H(7,𝔽2)11yescharacteristic
1633C4—24no—
1634C4—24no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—28no—
1639C4—41no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—41no—
1644C4—41no—
1645C4—44no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—41no—
1650C4—41no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—41no—
1658C4—41no—
1659C4—42no—
1660C4—42no—
1661C4—44no—
1662C4#347514yes—
1663C4#352414yes—
1664C2—42no—
1665C2—84no—
1666C2—82no—
1667C2—81no—
1668C2C2×#347511yescharacteristic
1669C2C2×#352411yescharacteristic
1670C2#6279311yescharacteristic
1671C2#6296911yescharacteristic
1672C2#6299211yescharacteristic
1673C2#6300611yescharacteristic
1674C2#6302911yescharacteristic
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. #59701C2semidirect
2. #59579C2semidirect
3. #59504C2semidirect
4. #59467C2semidirect
5. #59398C2semidirect
6. #59228C2semidirect
7. #59065C2semidirect
8. #59049C2semidirect
9. #45260C2semidirect
10. #45189C2semidirect
11. #44018C2semidirect
12. #43956C2semidirect
13. #40297C2semidirect
14. #39539C2semidirect
15. #39479C2semidirect
16. #39069C2semidirect
17. #39033C2semidirect
18. #38942C2semidirect
19. #36589C2semidirect
20. #36537C2semidirect
21. #36463C2semidirect
22. #36414C2semidirect
23. #36302C2semidirect
24. #36300C2semidirect
25. #36193C2semidirect
26. #36150C2semidirect
27. #35968C2semidirect
28. #35793C2semidirect
29. #34898C2semidirect
30. #34797C2semidirect
31. #34263C2semidirect
32. #34231C2semidirect
33. #34206C2semidirect
34. C4×#556C2semidirect
35. C4×#553C2semidirect

Maximal subgroups

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

subgroupindex
#597012
#595792
#595042
#594672
#593982
#592282
#590652
#590492
#452602
#451892
#440182
#439562
#402972
#395392
#394792
#390692
#390332
#389422
#365892
#365372
#364632
#364142
#363022
#363002
#361932
#361502
#359682
#357932
#348982
#347972
#342632
#342312
#342062
C4×#5562
C4×#5532