Finite Group Databasebeta

← #7679797

Subgroups — #7679797

Order 512.

4837 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59896C212yesmaximal, complemented
2#59754C212yesmaximal, complemented
3#59710C212yesmaximal, complemented
4#59640C212yesmaximal, complemented
5#59633C212yesmaximal, complemented
6#59474C212yesmaximal, complemented
7#59279C212yesmaximal, complemented
8#59250C212yesmaximal, complemented
9#44421C214yesmaximal, complemented
10#44418C214yesmaximal, complemented
11#44319C214yesmaximal, complemented
12#44316C214yesmaximal, complemented
13#39297C212yesmaximal, complemented
14#39287C212yesmaximal, complemented
15#39202C212yesmaximal, complemented
16#39201C211yesmaximal, characteristic, complemented
17#39194C211yesmaximal, characteristic, complemented
18#39188C212yesmaximal, complemented
19#39138C211yesmaximal, characteristic
20#39125C211yesmaximal, characteristic, complemented
21#36535C211yesmaximal, characteristic, complemented
22#36460C211yesmaximal, characteristic, complemented
23#36459C211yesmaximal, characteristic, complemented
24#36457C211yesmaximal, characteristic, complemented
25#35572C212yesmaximal, complemented
26#35550C212yesmaximal, complemented
27#35288C211yesmaximal, characteristic, complemented
28#35268C212yesmaximal, complemented
29#34943C211yesmaximal, characteristic, complemented
30#34934C211yesmaximal, characteristic, complemented
31#34335C211yesmaximal, characteristic, complemented
32#34330C211yesmaximal, characteristic, complemented
33#34227C212yesmaximal, complemented
34#34151C211yesmaximal, characteristic, complemented
35C4×#542C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#542C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#529C2212yes—
41#2864C2212yes—
42#2860C2212yes—
43#2860C2212yes—
44#2859C2211yescharacteristic
45#2858C2211yescharacteristic
46#2858C2212yes—
47#2857C2211yescharacteristic
48#2856C2211yescharacteristic
49#2808C2214yes—
50#2803C2214yes—
51#2803C2214yes—
52#2803C2214yes—
53#2801C2214yes—
54#2800C2214yes—
55#2800C2214yes—
56#2797C2214yes—
57#2797C2214yes—
58#2777C2214yes—
59#2777C2214yes—
60#2761C2214yes—
61#2759C2214yes—
62#2753C2214yes—
63#2752C2214yes—
64#2752C2214yes—
65#2745C2214yes—
66#2740C2214yes—
67#2716C2214yes—
68#2714C2214yes—
69#2712C2214yes—
70#2710C2214yes—
71#2674C2214yes—
72#2673C2214yes—
73#2644C2212yes—
74#2628C2212yes—
75#2624C2212yes—
76#2624C2212yes—
77#2624C2212yes—
78#2619C2212yes—
79#2610C2214yes—
80#2603C2214yes—
81#2602C2214yes—
82#2601C2214yes—
83#2597C2214yes—
84#2592C2214yes—
85#2590C2214yes—
86#2588C2214yes—
87#2581C2212yes—
88#2580C2212yes—
89#2578C2214yes—
90#2577C2214yes—
91#2572C2214yes—
92#2571C2211yescharacteristic
93#2570C2212yes—
94#2565C2212yes—
95#2563C2211yescharacteristic
96#2563C2211yescharacteristic
97#2563C2212yes—
98#2560C2214yes—
99#2560C2214yes—
100#2559C2214yes—
101#2557C2214yes—
102#2554C2214yes—
103#2554C2214yes—
104#2554C2214yes—
105#2552C2211yescharacteristic
106#2550C2212yes—
107#2550C2212yes—
108#2548C2214yes—
109#2548C2212yes—
110#2548C2211yescharacteristic
111#2548C2212yes—
112#2547C2212yes—
113#2544C2214yes—
114#2544C2214yes—
115#2541C2211yescharacteristic
116#2541C2212yes—
117#2541C2212yes—
118#2538C2211yescharacteristic
119#2537C2211yescharacteristic
120#2536C2212yes—
121#2535C2212yes—
122#2532C2214yes—
123#2531C2214yes—
124#2527C2214yes—
125#2526C2214yes—
126#2523C2214yes—
127#2521C2214yes—
128#2521C2214yes—
129#2521C2214yes—
130#2518C2214yes—
131#2518C2214yes—
132#2516C2214yes—
133#2516C2214yes—
134#2516C2214yes—
135#2516C2214yes—
136#2513C2212yes—
137#2513C2212yes—
138#2512C2212yes—
139#2512C2212yes—
140#2510C2214yes—
141#2500C2212yes—
142#2500C2212yes—
143#2496C2212yes—
144#2495C2212yes—
145#2495C2212yes—
146#2495C2212yes—
147#2494C2212yes—
148#2494C2212yes—
149#2491C2214yes—
150#2491C2214yes—
151#2491C2212yes—
152#2491C2212yes—
153#2491C2212yes—
154#2491C2212yes—
155#2490C2212yes—
156#2490C2212yes—
157#2490C2212yes—
158#2490C2212yes—
159#2490C2212yes—
160#2485C2212yes—
161#2469C2214yes—
162#2467C2214yes—
163#2467C2214yes—
164#2466C2214yes—
165#2461C2214yes—
166#2459C2214yes—
167#2459C2214yes—
168#2459C2214yes—
169#2454C2212yes—
170#2448C2214yes—
171#2448C2212yes—
172#2448C2212yes—
173#2447C2214yes—
174#2447C2212yes—
175#2445C2214yes—
176#2445C2212yes—
177#2445C2212yes—
178#2441C2212yes—
179#2431C2212yes—
180#2427C2212yes—
181#2426C2212yes—
182#2426C2212yes—
183#2426C2212yes—
184#2426C2212yes—
185#2422C2212yes—
186#2421C2212yes—
187#2420C2212yes—
188#2420C2212yes—
189#2420C2212yes—
190#2420C2212yes—
191#2419C2214yes—
192#2407C2212yes—
193#2398C2214yes—
194#2392C2214yes—
195#2374C2212yes—
196#2374C2212yes—
197#2374C2214yes—
198#2374C2214yes—
199#2373C2214yes—
200#2373C2212yes—
201#2373C2212yes—
202#2373C2214yes—
203#2370C2211yescharacteristic
204#2370C2212yes—
205#2370C2211yescharacteristic
206#2369C2211yescharacteristic
207#2369C2212yes—
208#2367C2211yescharacteristic
209#2367C2211yescharacteristic
210#2366C2211yescharacteristic
211#2366C2212yes—
212#2365C2214yes—
213#2365C2212yes—
214#2364C2214yes—
215#2363C2212yes—
216#2363C2211yescharacteristic
217#2363C2211yescharacteristic
218#2363C2212yes—
219#2362C2211yescharacteristic
220#2362C2211yescharacteristic
221#2357C2212yes—
222#2357C2212yes—
223#2357C2214yes—
224#2355C2211yescharacteristic
225#2355C2212yes—
226#2355C2211yescharacteristic
227#2355C2212yes—
228#2354C2211yescharacteristic
229#2354C2212yes—
230#2353C2214yes—
231#2351C2212yes—
232Q8×C4⋊C4C2211yescharacteristic
233#2347C2214yes—
234#2347C2212yes—
235#2343C2214yes—
236#2341C2212yes—
237#2341C2212yes—
238#2339C2212yes—
239#2337C2212yes—
240#2335C2212yes—
241#2334C2212yes—
242#2333C2214yes—
243#2332C2212yes—
244#2331C2214yes—
245#2331C2212yes—
246#2331C2211yescharacteristic
247#2328C2212yes—
248#2326C2211yescharacteristic
249#2324C2212yes—
250#2324C2211yescharacteristic
251#2324C2212yes—
252#2324C2212yes—
253#2323C2211yescharacteristic
254#2323C2212yes—
255#2323C2212yes—
256#2320C2211yescharacteristic
257#2319C2211yescharacteristic
258#2319C2212yes—
259#2314C2211yescharacteristic
260C4×C4⋊Q8C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#127C2212yes—
265C4×#125C2212yes—
266C4×#125C2212yes—
267C4×#126C2212yes—
268C4×#124C2212yes—
269C4×#124C2211yescharacteristic
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×#123C2212yes—
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280#2298C2212yes—
281#2297C2212yes—
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2293C2212yes—
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2290C2212yes—
288#2283C2212yes—
289#2283C2212yes—
290#2276C2212yes—
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300Q82—28no—
301#550—28no—
302#542—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308C2×#127C2311yescharacteristic
309C2×#127C2312yes—
310C2×#127C2312yes—
311C2×#127C2314yes—
312#529—28no—
313#529—216no—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2314yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2314yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2314yes—
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2312yes—
392C22×C42C2312yes—
393#401C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#395C2314yes—
430#395C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2312yes—
468#391C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2311yescharacteristic
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2314yes—
482#390C2314yes—
483#390C2314yes—
484#390C2312yes—
485#390C2314yes—
486#390C2312yes—
487#390C2312yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2311yescharacteristic
497#390C2312yes—
498#390C2311yescharacteristic
499#390C2312yes—
500#390C2314yes—
501#390C2314yes—
502#390C2314yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2314yes—
509#390C2312yes—
510#390C2314yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2314yes—
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2312yes—
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#383C2312yes—
687#383C2314yes—
688#383C2314yes—
689#383C2314yes—
690#382C2312yes—
691#382C2312yes—
692#382C2311yescharacteristic
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2314yes—
700#381C2314yes—
701#381C2314yes—
702#381C2312yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2311yescharacteristic
804#376C2311yescharacteristic
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2312yes—
809C2×#95C2314yes—
810C43C2312yes—
811C43C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C2×#41—28no—
816C2×#41—44no—
817C2×#41—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2412yes—
848C4⋊Q8—24no—
849C4⋊Q8—28no—
850C4⋊Q8—216no—
851C4⋊Q8—24no—
852C4⋊Q8—28no—
853#127—24no—
854#127—28no—
855#127—44no—
856#127—84no—
857#126—28no—
858#126—216no—
859#126—28no—
860#126—84no—
861#126—84no—
862#125—24no—
863#125—28no—
864#125—44no—
865#124—24no—
866#124—28no—
867#124—24no—
868#124—28no—
869#124—84no—
870#124—84no—
871#124—84no—
872#124—84no—
873#124—82no—
874#124—82no—
875#123—28no—
876#123—216no—
877#123—28no—
878#123—84no—
879C22⋊Q8—24no—
880C22⋊Q8—28no—
881C22⋊Q8—24no—
882C22⋊Q8—28no—
883C22⋊Q8—82no—
884#121—24no—
885#121—28no—
886#121—24no—
887#121—28no—
888#121—216no—
889#121—44no—
890#121—44no—
891#121—44no—
892#121—44no—
893#121—44no—
894#121—82no—
895C4×Q8—28no—
896C4×Q8—24no—
897C4×Q8—28no—
898C4×Q8—44no—
899C4×Q8—42no—
900C4×Q8—44no—
901C4×Q8—42no—
902C4×Q8—42no—
903C4×Q8—82no—
904C4×Q8—84no—
905C4×Q8#4118yes—
906C4×Q8#4118yescomplemented
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—216no—
910C4×D4—28no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—42no—
915C4×D4—44no—
916C4×D4—42no—
917C4×D4—44no—
918C4×D4—42no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—82no—
922C4×D4—84no—
923C4×D4—84no—
924C4×D4—84no—
925#117—216no—
926#117—28no—
927#117—24no—
928#117—42no—
929#117—44no—
930#117—42no—
931#117—44no—
932#117—42no—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C42—28no—
1054C2×C42—24no—
1055C2×C42—44no—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24C2511yescharacteristic
1170C24C2512yes—
1171C24C2512yes—
1172C24C2514yes—
1173#41—816no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—28no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—42no—
1182C2×Q8—44no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—44no—
1187C2×Q8C2×#4114yes—
1188C2×Q8C2×#4114yes—
1189C2×D4—24no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—28no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—28no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—24no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2514yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—41no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—41no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4C2×#4114yes—
1351C4⋊C4C2×#4118yes—
1352C4⋊C4C2×#4114yes—
1353C4⋊C4C2×#4118yes—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—22no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—22no—
1360C22⋊C4—24no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—41no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—41no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C42—24no—
1416C42—22no—
1417C42—24no—
1418C42—22no—
1419C42—24no—
1420C42—22no—
1421C42—22no—
1422C42—28no—
1423C42—24no—
1424C42—22no—
1425C42—24no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—22no—
1430C42—24no—
1431C42—22no—
1432C42—22no—
1433C42—42no—
1434C42—42no—
1435C42—42no—
1436C42—44no—
1437C42—42no—
1438C42—41no—
1439C42—42no—
1440C42—44no—
1441C42—44no—
1442C42—42no—
1443C42—44no—
1444C42—42no—
1445C42—42no—
1446C42—41no—
1447C42—42no—
1448C42—44no—
1449C42—44no—
1450C42—42no—
1451C42—42no—
1452C42—41no—
1453C42—41no—
1454C42—42no—
1455C42—42no—
1456C42C2×#4114yes—
1457C42C2×#4114yes—
1458C42C2×#4118yes—
1459C42C2×#4118yes—
1460C23—22no—
1461C23—21no—
1462C23—24no—
1463C23—22no—
1464C23—22no—
1465C23—21no—
1466C23—22no—
1467C23—24no—
1468C23—21no—
1469C23—22no—
1470C23—22no—
1471C23—24no—
1472C23—22no—
1473C23—21no—
1474C23—22no—
1475C23—21no—
1476C23—24no—
1477C23—22no—
1478C23—24no—
1479C23—22no—
1480C23—21no—
1481C23—22no—
1482C23—22no—
1483C23—24no—
1484C23—24no—
1485C23—22no—
1486C23—22no—
1487C23—21no—
1488C23C2611yescharacteristic
1489Q8—28no—
1490Q8—28no—
1491Q8—84no—
1492Q8—84no—
1493Q8—88no—
1494D4—48no—
1495D4—44no—
1496D4—44no—
1497D4—48no—
1498D4—88no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—88no—
1503D4—88no—
1504D4—88no—
1505D4—88no—
1506D4—164no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—24no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—44no—
1588C2×C4—48no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4—88no—
1595C2×C4—82no—
1596C2×C4—88no—
1597C2×C4—84no—
1598C2×C4—164no—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4114yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4114yes—
1604C2×C4C22×#4114yes—
1605C2×C4C22×#4114yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4#58512yes—
1610C2×C4#58512yes—
1611C2×C4#58512yes—
1612C22—42no—
1613C22—42no—
1614C22—41no—
1615C22—44no—
1616C22—44no—
1617C22—42no—
1618C22—42no—
1619C22—41no—
1620C22—42no—
1621C22—41no—
1622C22—44no—
1623C22—42no—
1624C22—41no—
1625C22—42no—
1626C22—44no—
1627C22—42no—
1628C22—42no—
1629C22—44no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—44no—
1636C22—42no—
1637C22—42no—
1638C22—41no—
1639C22—44no—
1640C22C23×#4111yescharacteristic
1641C22C23×#4111yescharacteristic
1642C22C2×#58511yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22H(7,𝔽2)11yescharacteristic
1646C22H(7,𝔽2)11yescharacteristic
1647C4—22no—
1648C4—24no—
1649C4—22no—
1650C4—24no—
1651C4—22no—
1652C4—24no—
1653C4—24no—
1654C4—42no—
1655C4—42no—
1656C4—41no—
1657C4—41no—
1658C4—42no—
1659C4—44no—
1660C4—41no—
1661C4—42no—
1662C4—41no—
1663C4—44no—
1664C4—42no—
1665C4—41no—
1666C4—41no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—42no—
1675C4—44no—
1676C4#348014yes—
1677C4#351014yes—
1678C2—82no—
1679C2—82no—
1680C2—81no—
1681C2—84no—
1682C2C2×#348011yescharacteristic
1683C2C2×#351011yescharacteristic
1684C2#6285811yescharacteristic
1685C2#6293811yescharacteristic
1686C2#6296911yescharacteristic
1687C2#6299411yescharacteristic
1688C2#6300611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39138C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59896C2semidirect
2. #59754C2semidirect
3. #59710C2semidirect
4. #59640C2semidirect
5. #59633C2semidirect
6. #59474C2semidirect
7. #59279C2semidirect
8. #59250C2semidirect
9. #44421C2semidirect
10. #44418C2semidirect
11. #44319C2semidirect
12. #44316C2semidirect
13. #39297C2semidirect
14. #39287C2semidirect
15. #39202C2semidirect
16. #39201C2semidirect
17. #39194C2semidirect
18. #39188C2semidirect
20. #39125C2semidirect
21. #36535C2semidirect
22. #36460C2semidirect
23. #36459C2semidirect
24. #36457C2semidirect
25. #35572C2semidirect
26. #35550C2semidirect
27. #35288C2semidirect
28. #35268C2semidirect
29. #34943C2semidirect
30. #34934C2semidirect
31. #34335C2semidirect
32. #34330C2semidirect
33. #34227C2semidirect
34. #34151C2semidirect
35. C4×#542C2semidirect
906. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#598962
#597542
#597102
#596402
#596332
#594742
#592792
#592502
#444212
#444182
#443192
#443162
#392972
#392872
#392022
#392012
#391942
#391882
#391382
#391252
#365352
#364602
#364592
#364572
#355722
#355502
#352882
#352682
#349432
#349342
#343352
#343302
#342272
#341512
C4×#5422