Finite Group Databasebeta

← #7664994

Subgroups — #7664994

Order 512.

4683 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#40202C212yesmaximal, complemented
2#40197C212yesmaximal, complemented
3#40195C212yesmaximal, complemented
4#40188C212yesmaximal, complemented
5#39754C211yesmaximal, characteristic, complemented
6#39617C211yesmaximal, characteristic, complemented
7#39126C211yesmaximal, characteristic
8#39125C211yesmaximal, characteristic, complemented
9#38897C214yesmaximal, complemented
10#38884C214yesmaximal, complemented
11#38882C214yesmaximal, complemented
12#38871C214yesmaximal, complemented
13#38279C212yesmaximal, complemented
14#38272C212yesmaximal, complemented
15#37960C212yesmaximal, complemented
16#37766C212yesmaximal, complemented
17#36425C212yesmaximal, complemented
18#36418C212yesmaximal, complemented
19#36301C211yesmaximal, characteristic, complemented
20#36298C212yesmaximal, complemented
21#36287C211yesmaximal, characteristic, complemented
22#36257C212yesmaximal, complemented
23#36194C211yesmaximal, characteristic, complemented
24#36114C211yesmaximal, characteristic, complemented
25#35284C211yesmaximal, characteristic, complemented
26#35282C212yesmaximal, complemented
27#35207C211yesmaximal, characteristic, complemented
28#35196C212yesmaximal, complemented
29#35185C211yesmaximal, characteristic, complemented
30#35183C212yesmaximal, complemented
31C4×Q82C211yesmaximal, characteristic, complemented
32C4×#554C211yesmaximal, characteristic, complemented
33#34151C211yesmaximal, characteristic, complemented
34C4×#542C211yesmaximal, characteristic, complemented
35#34084C212yesmaximal, complemented
36C2×Q82C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#542C2211yescharacteristic
39C2×#529C2212yes—
40C2×#529C2211yescharacteristic
41#2868C2211yescharacteristic
42#2866C2214yes—
43#2865C2214yes—
44#2864C2212yes—
45#2864C2212yes—
46#2860C2212yes—
47#2859C2211yescharacteristic
48#2859C2212yes—
49#2857C2212yes—
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2855C2214yes—
53#2854C2212yes—
54#2851C2212yes—
55#2851C2212yes—
56#2850C2214yes—
57#2802C2214yes—
58#2794C2214yes—
59#2793C2214yes—
60#2789C2214yes—
61#2787C2214yes—
62#2783C2214yes—
63#2774C2214yes—
64#2772C2214yes—
65#2771C2214yes—
66#2766C2214yes—
67#2722C2214yes—
68#2718C2214yes—
69#2716C2214yes—
70#2715C2214yes—
71#2702C2214yes—
72#2702C2214yes—
73#2694C2214yes—
74#2690C2214yes—
75#2681C2214yes—
76#2680C2214yes—
77#2677C2214yes—
78#2677C2214yes—
79#2674C2214yes—
80#2672C2214yes—
81#2660C2212yes—
82#2660C2212yes—
83#2655C2214yes—
84#2653C2214yes—
85#2651C2214yes—
86#2650C2214yes—
87#2649C2214yes—
88#2649C2214yes—
89#2647C2212yes—
90#2629C2212yes—
91#2629C2212yes—
92#2628C2212yes—
93#2612C2214yes—
94#2596C2214yes—
95#2594C2214yes—
96#2594C2214yes—
97#2593C2214yes—
98#2590C2214yes—
99#2588C2214yes—
100#2586C2214yes—
101#2585C2214yes—
102#2585C2214yes—
103#2584C2212yes—
104#2581C2212yes—
105#2575C2214yes—
106#2574C2214yes—
107#2571C2212yes—
108#2571C2211yescharacteristic
109#2571C2212yes—
110#2570C2212yes—
111#2567C2211yescharacteristic
112#2565C2212yes—
113#2563C2211yescharacteristic
114#2563C2211yescharacteristic
115#2563C2211yescharacteristic
116#2562C2212yes—
117#2556C2214yes—
118#2556C2214yes—
119#2552C2211yescharacteristic
120#2550C2212yes—
121#2547C2212yes—
122#2542C2212yes—
123#2538C2212yes—
124#2538C2211yescharacteristic
125#2537C2211yescharacteristic
126#2537C2212yes—
127#2536C2212yes—
128#2536C2212yes—
129#2529C2214yes—
130#2528C2214yes—
131#2527C2214yes—
132#2525C2214yes—
133#2522C2214yes—
134#2520C2214yes—
135#2516C2214yes—
136#2516C2214yes—
137#2513C2212yes—
138#2509C2212yes—
139#2508C2212yes—
140#2507C2212yes—
141#2507C2212yes—
142#2506C2212yes—
143#2497C2212yes—
144#2497C2212yes—
145#2497C2212yes—
146#2497C2212yes—
147#2497C2212yes—
148#2496C2212yes—
149#2496C2212yes—
150#2494C2212yes—
151#2494C2212yes—
152#2494C2212yes—
153#2494C2212yes—
154#2492C2214yes—
155#2491C2212yes—
156#2490C2212yes—
157#2488C2214yes—
158#2485C2212yes—
159#2479C2214yes—
160#2478C2214yes—
161#2477C2214yes—
162#2474C2214yes—
163#2474C2214yes—
164#2470C2214yes—
165#2469C2214yes—
166#2468C2214yes—
167#2466C2214yes—
168#2465C2214yes—
169#2462C2214yes—
170#2458C2214yes—
171#2453C2212yes—
172#2448C2212yes—
173#2446C2212yes—
174#2446C2212yes—
175#2442C2212yes—
176#2441C2212yes—
177#2440C2212yes—
178#2440C2212yes—
179#2439C2214yes—
180#2438C2214yes—
181#2438C2214yes—
182#2429C2212yes—
183#2429C2212yes—
184#2426C2212yes—
185#2426C2214yes—
186#2425C2214yes—
187#2423C2212yes—
188#2423C2212yes—
189#2423C2212yes—
190#2422C2212yes—
191#2422C2212yes—
192#2421C2212yes—
193#2421C2214yes—
194#2421C2212yes—
195#2421C2212yes—
196#2420C2212yes—
197#2420C2212yes—
198#2416C2212yes—
199#2374C2212yes—
200#2374C2212yes—
201#2373C2212yes—
202#2373C2212yes—
203#2370C2211yescharacteristic
204#2370C2212yes—
205#2370C2211yescharacteristic
206#2370C2212yes—
207#2369C2212yes—
208#2369C2212yes—
209#2369C2211yescharacteristic
210#2369C2211yescharacteristic
211#2369C2214yes—
212#2368C2214yes—
213#2367C2211yescharacteristic
214#2367C2211yescharacteristic
215#2363C2211yescharacteristic
216#2363C2211yescharacteristic
217#2362C2211yescharacteristic
218#2362C2211yescharacteristic
219#2361C2212yes—
220#2360C2212yes—
221#2355C2212yes—
222#2355C2211yescharacteristic
223#2354C2212yes—
224#2352C2212yes—
225Q8×C4⋊C4C2212yes—
226Q8×C4⋊C4C2211yescharacteristic
227Q8×C4⋊C4C2211yescharacteristic
228Q8×C4⋊C4C2212yes—
229#2349C2212yes—
230D4×C4⋊C4C2211yescharacteristic
231#2346C2212yes—
232#2345C2212yes—
233#2344C2212yes—
234#2344C2212yes—
235#2337C2212yes—
236#2335C2214yes—
237#2335C2214yes—
238#2335C2212yes—
239#2334C2214yes—
240#2334C2214yes—
241#2334C2212yes—
242#2332C2212yes—
243#2331C2211yescharacteristic
244#2330C2212yes—
245#2330C2212yes—
246#2326C2211yescharacteristic
247#2326C2212yes—
248#2324C2212yes—
249#2324C2212yes—
250#2324C2211yescharacteristic
251#2323C2212yes—
252#2323C2212yes—
253#2323C2211yescharacteristic
254#2320C2211yescharacteristic
255#2319C2211yescharacteristic
256#2314C2211yescharacteristic
257#2314C2212yes—
258#2314C2212yes—
259#2314C2212yes—
260C4×C4⋊Q8C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2214yes—
266C4×#125C2212yes—
267C4×#126C2212yes—
268C4×#124C2211yescharacteristic
269C4×#124C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2214yes—
274C4×#123C2212yes—
275C4×#121C2211yescharacteristic
276#2298C2214yes—
277#2298C2212yes—
278#2296C2214yes—
279#2295C2212yes—
280#2295C2211yescharacteristic
281#2293C2212yes—
282#2293C2214yes—
283#2293C2212yes—
284#2293C2211yescharacteristic
285#2290C2214yes—
286#2290C2212yes—
287#2285C2212yes—
288C42×Q8C2212yes—
289C42×Q8C2211yescharacteristic
290C42×Q8C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299Q82—28no—
300#554—28no—
301#542—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2314yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310#529—216no—
311#529—28no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#124C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2314yes—
324C2×#124C2311yescharacteristic
325C2×#123C2314yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2314yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2314yes—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2314yes—
378C2×#117C2314yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C42C2312yes—
382C22×C42C2311yescharacteristic
383C22×C42C2312yes—
384C22×C42C2314yes—
385#401C2314yes—
386#401C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
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#391C2314yes—
458#391C2312yes—
459#391C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2314yes—
463#391C2314yes—
464#391C2311yescharacteristic
465#391C2312yes—
466#391C2311yescharacteristic
467#391C2311yescharacteristic
468#391C2312yes—
469#391C2312yes—
470#391C2314yes—
471#391C2312yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2311yescharacteristic
477#390C2312yes—
478#390C2312yes—
479#390C2312yes—
480#390C2311yescharacteristic
481#390C2311yescharacteristic
482#390C2314yes—
483#390C2312yes—
484#390C2314yes—
485#390C2312yes—
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#390C2312yes—
489#390C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2312yes—
496#389C2314yes—
497#389C2312yes—
498#389C2314yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#389C2312yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2314yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2312yes—
665#385C2314yes—
666#385C2312yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2314yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#383C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2314yes—
697#382C2314yes—
698#382C2314yes—
699#382C2312yes—
700#381C2312yes—
701#381C2314yes—
702#381C2314yes—
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2314yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2311yescharacteristic
804#376C2311yescharacteristic
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808C2×#95C2314yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2314yes—
814C43C2312yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2414yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C4⋊Q8—28no—
838C4⋊Q8—216no—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—28no—
843C4⋊Q8—82no—
844C4⋊Q8—82no—
845#126—28no—
846#126—216no—
847#126—28no—
848#126—84no—
849#125—24no—
850#125—28no—
851#125—28no—
852#125—44no—
853#125—84no—
854#124—24no—
855#124—28no—
856#124—84no—
857#124#4118yes—
858#123—28no—
859#123—216no—
860#123—28no—
861#123—84no—
862C22⋊Q8—28no—
863C22⋊Q8—24no—
864C22⋊Q8—24no—
865C22⋊Q8—28no—
866C22⋊Q8—216no—
867C22⋊Q8—28no—
868C22⋊Q8—84no—
869C22⋊Q8—82no—
870C22⋊Q8—84no—
871C22⋊Q8—84no—
872C22⋊Q8—82no—
873#121—28no—
874#121—24no—
875#121—24no—
876#121—44no—
877#121—84no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—28no—
881C4×Q8—24no—
882C4×Q8—24no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—44no—
886C4×Q8—42no—
887C4×Q8—44no—
888C4×Q8—82no—
889C4×Q8—84no—
890C4×Q8—82no—
891C4×Q8#4118yes—
892C4×D4—28no—
893C4×D4—24no—
894C4×D4—24no—
895C4×D4—216no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—42no—
902C4×D4—44no—
903#117—24no—
904#117—216no—
905#117—28no—
906#117—24no—
907#117—24no—
908#117—28no—
909#117—42no—
910#117—84no—
911#117—84no—
912C2×C4⋊C4—28no—
913C2×C4⋊C4—28no—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C42—28no—
1034C2×C42—24no—
1035C2×C42—44no—
1036C2×C42—84no—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2412yes—
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159C24C2511yescharacteristic
1160C24C2512yes—
1161C24C2512yes—
1162C2×Q8—22no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—28no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—42no—
1171C2×Q8—44no—
1172C2×Q8—42no—
1173C2×Q8—42no—
1174C2×Q8—42no—
1175C2×Q8—44no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8C2×#4114yes—
1179C2×Q8C2×#4114yes—
1180C2×D4—28no—
1181C2×D4—24no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—42no—
1194C2×D4C2×#4114yes—
1195C22×C4—28no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—28no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—28no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—44no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—44no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2514yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2514yes—
1246C22×C4C2514yes—
1247C22×C4C2514yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—28no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4C2×#4114yes—
1333C4⋊C4C2×#4118yes—
1334C4⋊C42−1+414yes—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—22no—
1341C22⋊C4—24no—
1342C22⋊C4—22no—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—22no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—22no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4C2×#4118yes—
1378C22⋊C4C2×#4118yes—
1379C42—24no—
1380C42—22no—
1381C42—24no—
1382C42—22no—
1383C42—24no—
1384C42—22no—
1385C42—28no—
1386C42—22no—
1387C42—28no—
1388C42—24no—
1389C42—24no—
1390C42—24no—
1391C42—22no—
1392C42—24no—
1393C42—22no—
1394C42—24no—
1395C42—22no—
1396C42—24no—
1397C42—22no—
1398C42—24no—
1399C42—22no—
1400C42—24no—
1401C42—42no—
1402C42—42no—
1403C42—42no—
1404C42—44no—
1405C42—44no—
1406C42—44no—
1407C42—42no—
1408C42—44no—
1409C42—42no—
1410C42—42no—
1411C42—44no—
1412C42—41no—
1413C42—42no—
1414C42—42no—
1415C42—44no—
1416C42—41no—
1417C42—42no—
1418C42—42no—
1419C42—41no—
1420C42—41no—
1421C42C2×#4114yes—
1422C42C2×#4114yes—
1423C42C2×#4118yes—
1424C422−1+414yes—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—21no—
1432C23—22no—
1433C23—22no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—22no—
1438C23—22no—
1439C23—21no—
1440C23—22no—
1441C23—22no—
1442C23—21no—
1443C23—22no—
1444C23—21no—
1445C23C22×#4114yes—
1446C23C2611yescharacteristic
1447Q8—28no—
1448Q8—28no—
1449Q8—84no—
1450Q8—88no—
1451Q8—84no—
1452Q8—84no—
1453D4—28no—
1454D4—44no—
1455D4—84no—
1456D4—88no—
1457D4—84no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—24no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—24no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—48no—
1540C2×C4—416no—
1541C2×C4—48no—
1542C2×C4—48no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—48no—
1546C2×C4—84no—
1547C2×C4—88no—
1548C2×C4—82no—
1549C2×C4—84no—
1550C2×C4C22×#4114yes—
1551C2×C4C22×#4114yes—
1552C2×C4C22×#4112yes—
1553C2×C4C22×#4112yes—
1554C2×C4C22×#4112yes—
1555C2×C4C22×#4114yes—
1556C2×C4C22×#4112yes—
1557C2×C4C22×#4112yes—
1558C2×C4C22×#4112yes—
1559C2×C4C2×2−1+412yes—
1560C2×C4C2×2−1+414yes—
1561C2×C4C2×2−1+412yes—
1562C2×C4C2×2−1+412yes—
1563C2×C4C2×2−1+412yes—
1564C2×C4#58512yes—
1565C22—24no—
1566C22—24no—
1567C22—24no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—41no—
1574C22—42no—
1575C22—41no—
1576C22—41no—
1577C22—42no—
1578C22—41no—
1579C22—42no—
1580C22—41no—
1581C22—42no—
1582C22—41no—
1583C22—42no—
1584C22—42no—
1585C22—41no—
1586C22C23×#4111yescharacteristic
1587C22C23×#4111yescharacteristic
1588C22C22×2−1+411yescharacteristic
1589C22C22×2−1+411yescharacteristic
1590C22C2×#58511yescharacteristic
1591C22H(7,𝔽2)11yescharacteristic
1592C22H(7,𝔽2)11yescharacteristic
1593C4—22no—
1594C4—24no—
1595C4—22no—
1596C4—24no—
1597C4—22no—
1598C4—22no—
1599C4—24no—
1600C4—22no—
1601C4—24no—
1602C4—42no—
1603C4—41no—
1604C4—42no—
1605C4—44no—
1606C4—42no—
1607C4—41no—
1608C4—44no—
1609C4—41no—
1610C4—44no—
1611C4—42no—
1612C4—44no—
1613C4—41no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—41no—
1618C4—42no—
1619C4—41no—
1620C4—42no—
1621C4—42no—
1622C4—41no—
1623C4#346114yes—
1624C4#348214yes—
1625C2—44no—
1626C2—82no—
1627C2—81no—
1628C2C2×#346111yescharacteristic
1629C2C2×#348211yescharacteristic
1630C2#6285811yescharacteristic
1631C2#6292611yescharacteristic
1632C2#6294311yescharacteristic
1633C2#6299411yescharacteristic
1634C2#6300011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39126C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #40202C2semidirect
2. #40197C2semidirect
3. #40195C2semidirect
4. #40188C2semidirect
5. #39754C2semidirect
6. #39617C2semidirect
8. #39125C2semidirect
9. #38897C2semidirect
10. #38884C2semidirect
11. #38882C2semidirect
12. #38871C2semidirect
13. #38279C2semidirect
14. #38272C2semidirect
15. #37960C2semidirect
16. #37766C2semidirect
17. #36425C2semidirect
18. #36418C2semidirect
19. #36301C2semidirect
20. #36298C2semidirect
21. #36287C2semidirect
22. #36257C2semidirect
23. #36194C2semidirect
24. #36114C2semidirect
25. #35284C2semidirect
26. #35282C2semidirect
27. #35207C2semidirect
28. #35196C2semidirect
29. #35185C2semidirect
30. #35183C2semidirect
31. C4×Q82C2semidirect
32. C4×#554C2semidirect
33. #34151C2semidirect
34. C4×#542C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#402022
#401972
#401952
#401882
#397542
#396172
#391262
#391252
#388972
#388842
#388822
#388712
#382792
#382722
#379602
#377662
#364252
#364182
#363012
#362982
#362872
#362572
#361942
#361142
#352842
#352822
#352072
#351962
#351852
#351832
C4×Q822
C4×#5542
#341512
C4×#5422
#340842