Finite Group Databasebeta

← #7692176

Subgroups — #7692176

Order 512.

4533 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59997C214yesmaximal, complemented
2#59547C212yesmaximal, complemented
3#59481C212yesmaximal, complemented
4#59443C211yesmaximal, characteristic, complemented
5#59379C212yesmaximal
6#59330C212yesmaximal, complemented
7#59256C211yesmaximal, characteristic, complemented
8#59242C211yesmaximal, characteristic, complemented
9#45431C212yesmaximal, complemented
10#44956C212yesmaximal, complemented
11#43884C214yesmaximal, complemented
12#43868C214yesmaximal
13#40192C212yesmaximal
14#40096C212yesmaximal, complemented
15#39753C211yesmaximal, characteristic, complemented
16#39724C211yesmaximal, characteristic, complemented
17#38620C214yesmaximal, complemented
18#37868C212yesmaximal
19#36577C211yesmaximal, characteristic, complemented
20#36563C211yesmaximal, characteristic, complemented
21#36552C211yesmaximal, characteristic, complemented
22#36450C212yesmaximal, complemented
23#36384C212yesmaximal, complemented
24#36314C211yesmaximal, characteristic, complemented
25#36283C212yesmaximal, complemented
26#36188C211yesmaximal, characteristic
27#35958C212yesmaximal, complemented
28#35789C212yesmaximal, complemented
29#34975C212yesmaximal, complemented
30#34691C211yesmaximal, characteristic
31#34328C211yesmaximal, characteristic, complemented
32#34307C212yesmaximal
33#34213C211yesmaximal, characteristic, complemented
34C4×#552C211yesmaximal, characteristic
35Q8×#117C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2212yes—
38C2×#552C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41#2868C2211yescharacteristic
42#2864C2212yes—
43#2863C2214yes—
44#2859C2212yes—
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2212yes—
48#2851C2212yes—
49#2791C2214yes—
50#2787C2214yes—
51#2776C2214yes—
52#2770C2214yes—
53#2766C2214yes—
54#2765C2214yes—
55#2764C2214yes—
56#2762C2214yes—
57#2762C2214yes—
58#2758C2214yes—
59#2758C2214yes—
60#2747C2214yes—
61#2722C2214yes—
62#2722C2214yes—
63#2719C2214yes—
64#2719C2214yes—
65#2717C2214yes—
66#2717C2214yes—
67#2713C2214yes—
68#2690C2214yes—
69#2690C2214yes—
70#2666C2214yes—
71#2660C2212yes—
72#2652C2214yes—
73#2621C2212yes—
74#2612C2214yes—
75#2612C2214yes—
76#2611C2214yes—
77#2606C2214yes—
78#2605C2214yes—
79#2605C2214yes—
80#2605C2214yes—
81#2590C2214yes—
82#2588C2214yes—
83#2586C2214yes—
84#2585C2214yes—
85#2585C2214yes—
86#2582C2211yescharacteristic
87#2582C2212yes—
88#2582C2211yescharacteristic
89#2581C2212yes—
90#2577C2214yes—
91#2577C2214yes—
92#2577C2214yes—
93#2571C2211yescharacteristic
94#2571C2212yes—
95#2570C2212yes—
96#2570C2212yes—
97#2570C2212yes—
98#2568C2211yescharacteristic
99#2568C2212yes—
100#2568C2211yescharacteristic
101#2568C2212yes—
102#2568C2212yes—
103#2567C2212yes—
104#2565C2212yes—
105#2565C2212yes—
106#2552C2212yes—
107#2552C2211yescharacteristic
108#2552C2212yes—
109#2550C2212yes—
110#2550C2212yes—
111#2550C2214yes—
112#2547C2212yes—
113#2547C2212yes—
114#2533C2214yes—
115#2533C2214yes—
116#2533C2214yes—
117#2530C2214yes—
118#2530C2214yes—
119#2528C2214yes—
120#2528C2214yes—
121#2528C2214yes—
122#2528C2214yes—
123#2528C2214yes—
124#2528C2214yes—
125#2524C2214yes—
126#2524C2214yes—
127#2524C2214yes—
128#2523C2214yes—
129#2520C2214yes—
130#2520C2214yes—
131#2520C2214yes—
132#2517C2214yes—
133#2514C2212yes—
134#2514C2212yes—
135#2514C2212yes—
136#2514C2212yes—
137#2514C2212yes—
138#2511C2212yes—
139#2511C2212yes—
140#2511C2212yes—
141#2508C2212yes—
142#2508C2212yes—
143#2507C2214yes—
144#2506C2212yes—
145#2505C2214yes—
146#2502C2212yes—
147#2499C2212yes—
148#2499C2212yes—
149#2499C2212yes—
150#2499C2212yes—
151#2499C2212yes—
152#2496C2212yes—
153#2496C2212yes—
154#2496C2212yes—
155#2496C2212yes—
156#2495C2212yes—
157#2495C2212yes—
158#2494C2212yes—
159#2494C2214yes—
160#2489C2212yes—
161#2489C2212yes—
162#2489C2214yes—
163#2478C2214yes—
164#2478C2214yes—
165#2475C2214yes—
166#2473C2212yes—
167#2465C2212yes—
168#2462C2212yes—
169#2462C2214yes—
170#2462C2214yes—
171#2453C2212yes—
172#2453C2214yes—
173#2453C2212yes—
174#2451C2212yes—
175#2451C2212yes—
176#2451C2211yescharacteristic
177#2451C2212yes—
178#2449C2212yes—
179#2446C2212yes—
180#2446C2212yes—
181#2446C2211yescharacteristic
182#2442C2212yes—
183#2442C2214yes—
184#2440C2211yescharacteristic
185#2434C2211yescharacteristic
186#2429C2211yescharacteristic
187#2423C2211yescharacteristic
188#2421C2212yes—
189#2421C2212yes—
190#2421C2212yes—
191#2417C2211yescharacteristic
192#2409C2211yescharacteristic
193#2402C2214yes—
194#2401C2214yes—
195#2399C2212yes—
196#2396C2212yes—
197#2373C2214yes—
198#2373C2214yes—
199#2373C2212yes—
200#2372C2214yes—
201#2371C2214yes—
202#2371C2214yes—
203#2371C2212yes—
204#2370C2212yes—
205#2370C2212yes—
206#2370C2214yes—
207#2370C2211yescharacteristic
208#2369C2212yes—
209#2369C2212yes—
210#2365C2212yes—
211#2365C2211yescharacteristic
212#2365C2212yes—
213#2365C2212yes—
214#2365C2212yes—
215#2362C2212yes—
216#2362C2211yescharacteristic
217#2360C2212yes—
218#2360C2211yescharacteristic
219#2359C2212yes—
220#2356C2212yes—
221#2356C2214yes—
222#2356C2212yes—
223#2356C2212yes—
224#2356C2212yes—
225#2356C2212yes—
226#2356C2211yescharacteristic
227#2356C2212yes—
228#2355C2211yescharacteristic
229#2355C2211yescharacteristic
230#2355C2211yescharacteristic
231#2355C2211yescharacteristic
232#2355C2212yes—
233#2355C2212yes—
234#2355C2212yes—
235#2355C2212yes—
236#2355C2212yes—
237#2355C2212yes—
238#2352C2211yescharacteristic
239#2351C2212yes—
240Q8×C4⋊C4C2211yescharacteristic
241Q8×C4⋊C4C2211yescharacteristic
242Q8×C4⋊C4C2211yescharacteristic
243Q8×C4⋊C4C2211yescharacteristic
244#2347C2212yes—
245#2346C2212yes—
246#2346C2211yescharacteristic
247#2345C2212yes—
248#2345C2214yes—
249#2344C2211yescharacteristic
250#2343C2212yes—
251Q8×C22⋊C4C2212yes—
252Q8×C22⋊C4C2212yes—
253#2337C2214yes—
254#2336C2214yes—
255#2334C2214yes—
256#2331C2212yes—
257#2329C2214yes—
258#2327C2212yes—
259#2323C2212yes—
260#2317C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×#125C2212yes—
265C4×#125C2211yescharacteristic
266C4×#125C2214yes—
267C4×#125C2212yes—
268C4×#126C2214yes—
269C4×#126C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×#123C2212yes—
280#2295C2214yes—
281#2295C2212yes—
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2295C2214yes—
285#2295C2212yes—
286#2290C2212yes—
287#2285C2211yescharacteristic
288#2285C2212yes—
289#2285C2211yescharacteristic
290#2276C2212yes—
291#2274C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2212yes—
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300#557—28no—
301#556—216no—
302#552—28no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124C2314yes—
324C2×#123C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C4×Q8—28no—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2312yes—
372C22×C42C2311yescharacteristic
373C22×C42C2312yes—
374#401C2314yes—
375#401C2314yes—
376#401C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#399C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#396C2312yes—
440#396C2312yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2312yes—
445#395C2314yes—
446#395C2312yes—
447#395C2312yes—
448#395C2314yes—
449#395C2312yes—
450#395C2312yes—
451#393C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2311yescharacteristic
455#391C2312yes—
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2311yescharacteristic
468#391C2311yescharacteristic
469#391C2314yes—
470#391C2314yes—
471#391C2312yes—
472#391C2314yes—
473#391C2314yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2312yes—
495#389C2311yescharacteristic
496#389C2312yes—
497#389C2312yes—
498#389C2311yescharacteristic
499#389C2314yes—
500#389C2314yes—
501#389C2312yes—
502#389C2314yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2314yes—
545#388C2312yes—
546#388C2312yes—
547#388C2314yes—
548#388C2312yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#387C2314yes—
558#387C2312yes—
559#387C2312yes—
560#387C2312yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2314yes—
572#387C2312yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2312yes—
646#385C2312yes—
647#385C2312yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#385C2312yes—
657#385C2314yes—
658#384C2312yes—
659#384C2311yescharacteristic
660#384C2311yescharacteristic
661#384C2312yes—
662#384C2312yes—
663#384C2312yes—
664#384C2312yes—
665#384C2311yescharacteristic
666#384C2312yes—
667#384C2312yes—
668#384C2311yescharacteristic
669#384C2312yes—
670#383C2312yes—
671#383C2314yes—
672#383C2314yes—
673#383C2314yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#383C2314yes—
678#382C2314yes—
679#382C2311yescharacteristic
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2314yes—
689#382C2312yes—
690#382C2312yes—
691#382C2314yes—
692#382C2312yes—
693#382C2314yes—
694#382C2314yes—
695#382C2314yes—
696#381C2312yes—
697#380C2314yes—
698#380C2314yes—
699#380C2311yescharacteristic
700#380C2312yes—
701#380C2311yescharacteristic
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2314yes—
706#380C2312yes—
707#380C2312yes—
708#380C2314yes—
709#380C2312yes—
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2312yes—
713#380C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800#376C2312yes—
801#376C2312yes—
802#376C2314yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2312yes—
809#376C2314yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2314yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C22×Q8—24no—
816C22×Q8—24no—
817C22×Q8—42no—
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×D4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—28no—
841C4⋊Q8—24no—
842C4⋊Q8—28no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845#126—28no—
846#126—216no—
847#126—216no—
848#125—28no—
849#125—28no—
850#125—216no—
851#125—28no—
852#125—24no—
853#125—44no—
854#125—48no—
855#125—48no—
856#124—216no—
857#123—28no—
858C22⋊Q8—24no—
859C22⋊Q8—24no—
860C22⋊Q8—24no—
861C22⋊Q8—24no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—24no—
865C22⋊Q8—28no—
866C22⋊Q8—44no—
867C22⋊Q8—42no—
868C4×Q8—24no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—24no—
873C4×Q8—216no—
874C4×Q8—24no—
875C4×Q8—28no—
876C4×Q8—24no—
877C4×Q8—28no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—28no—
882C4×Q8—24no—
883C4×Q8—28no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8#4118yes—
888C4×D4—42no—
889C4×D4—42no—
890C4×D4#4118yes—
891#117—24no—
892#117—28no—
893#117—28no—
894#117—24no—
895#117—28no—
896#117—28no—
897#117—44no—
898C2×C4⋊C4—24no—
899C2×C4⋊C4—28no—
900C2×C4⋊C4—24no—
901C2×C4⋊C4—24no—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C42—24no—
1009C2×C42—28no—
1010C2×C42—24no—
1011C2×C42—44no—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2414yes—
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2411yescharacteristic
1064#95C2414yes—
1065#95C2411yescharacteristic
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150C24C2511yescharacteristic
1151C24C2511yescharacteristic
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—28no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—24no—
1164C2×Q8—22no—
1165C2×Q8—24no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—44no—
1172C2×Q8—44no—
1173C2×Q8—42no—
1174C2×Q8—416no—
1175C2×Q8C2×#4114yes—
1176C2×Q82−1+414yes—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4C2×#4114yes—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—24no—
1195C22×C4—22no—
1196C22×C4—24no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4C2×#4114yes—
1209C22×C4C2×#4114yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2514yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—24no—
1272C4⋊C4—28no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—28no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4C2×#4118yes—
1324C4⋊C4C2×#4114yes—
1325C4⋊C4C2×#4114yes—
1326C4⋊C42−1+414yes—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4C2×#4114yes—
1348C22⋊C4C2×#4114yes—
1349C42—24no—
1350C42—24no—
1351C42—22no—
1352C42—22no—
1353C42—24no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—24no—
1359C42—24no—
1360C42—28no—
1361C42—28no—
1362C42—24no—
1363C42—28no—
1364C42—28no—
1365C42—24no—
1366C42—24no—
1367C42—22no—
1368C42—24no—
1369C42—28no—
1370C42—24no—
1371C42—24no—
1372C42—28no—
1373C42—22no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—22no—
1378C42—22no—
1379C42—42no—
1380C42—42no—
1381C42—42no—
1382C42—44no—
1383C42—42no—
1384C42—41no—
1385C42—44no—
1386C42—44no—
1387C42—42no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42C2×#4114yes—
1393C42C2×#4118yes—
1394C42C2×#4114yes—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23C22×#4112yes—
1408C23C22×#4112yes—
1409C23C2611yescharacteristic
1410Q8—28no—
1411Q8—28no—
1412Q8—48no—
1413Q8—44no—
1414Q8—48no—
1415Q8—44no—
1416Q8—84no—
1417Q8—88no—
1418D4—44no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—28no—
1440C2×C4—28no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—48no—
1505C2×C4—48no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—82no—
1509C2×C4—82no—
1510C2×C4—84no—
1511C2×C4—84no—
1512C2×C4C22×#4112yes—
1513C2×C4C22×#4112yes—
1514C2×C4C22×#4112yes—
1515C2×C4C22×#4114yes—
1516C2×C4C22×#4112yes—
1517C2×C4C22×#4112yes—
1518C2×C4C22×#4114yes—
1519C2×C4C22×#4112yes—
1520C2×C4C22×#4112yes—
1521C2×C4C22×#4112yes—
1522C2×C4C2×2−1+414yes—
1523C2×C4C2×2−1+414yes—
1524C2×C4C2×2−1+412yes—
1525C2×C4C2×2−1+412yes—
1526C2×C4#58512yes—
1527C2×C4#58512yes—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22C23×#4111yescharacteristic
1543C22C23×#4111yescharacteristic
1544C22C22×2−1+411yescharacteristic
1545C22C22×2−1+411yescharacteristic
1546C22C2×#58511yescharacteristic
1547C22C2×#58511yescharacteristic
1548C222−1+611yescharacteristic
1549C4—22no—
1550C4—22no—
1551C4—24no—
1552C4—22no—
1553C4—24no—
1554C4—24no—
1555C4—22no—
1556C4—24no—
1557C4—22no—
1558C4—22no—
1559C4—44no—
1560C4—42no—
1561C4—42no—
1562C4—41no—
1563C4—42no—
1564C4—41no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—41no—
1569C4—41no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—44no—
1574C4—44no—
1575C4—41no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—44no—
1580C4#348214yes—
1581C4#349514yes—
1582C2—42no—
1583C2—42no—
1584C2C2×#348211yescharacteristic
1585C2C2×#349511yescharacteristic
1586C2#6281511yescharacteristic
1587C2#6295011yescharacteristic
1588C2#6300111yescharacteristic
1589C2#6300911yescharacteristic
1590C2#6303811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59997C2semidirect
2. #59547C2semidirect
3. #59481C2semidirect
4. #59443C2semidirect
6. #59330C2semidirect
7. #59256C2semidirect
8. #59242C2semidirect
9. #45431C2semidirect
10. #44956C2semidirect
11. #43884C2semidirect
14. #40096C2semidirect
15. #39753C2semidirect
16. #39724C2semidirect
17. #38620C2semidirect
19. #36577C2semidirect
20. #36563C2semidirect
21. #36552C2semidirect
22. #36450C2semidirect
23. #36384C2semidirect
24. #36314C2semidirect
25. #36283C2semidirect
27. #35958C2semidirect
28. #35789C2semidirect
29. #34975C2semidirect
31. #34328C2semidirect
33. #34213C2semidirect
35. Q8×#117C2semidirect

Maximal subgroups

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

subgroupindex
#599972
#595472
#594812
#594432
#593792
#593302
#592562
#592422
#454312
#449562
#438842
#438682
#401922
#400962
#397532
#397242
#386202
#378682
#365772
#365632
#365522
#364502
#363842
#363142
#362832
#361882
#359582
#357892
#349752
#346912
#343282
#343072
#342132
C4×#5522
Q8×#1172