Finite Group Databasebeta

← #7657415

Subgroups — #7657415

Order 512.

4294 conjugacy classes of subgroups.

The subgroup lattice has 1579 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42865C212yesmaximal, complemented
2#42861C212yesmaximal, complemented
3#42587C212yesmaximal, complemented
4#42568C212yesmaximal, complemented
5#42273C214yesmaximal, complemented
6#42098C214yesmaximal, complemented
7#41302C214yesmaximal, complemented
8#41279C214yesmaximal, complemented
9#39800C212yesmaximal, complemented
10#39754C211yesmaximal, characteristic, complemented
11#39682C212yesmaximal, complemented
12#39617C211yesmaximal, characteristic, complemented
13#39598C211yesmaximal, characteristic
14#39597C211yesmaximal, characteristic, complemented
15#37986C212yesmaximal, complemented
16#37980C212yesmaximal
17#37638C211yesmaximal, characteristic, complemented
18#37637C211yesmaximal, characteristic, complemented
19#37628C212yesmaximal, complemented
20#37580C212yesmaximal, complemented
21#36590C211yesmaximal, characteristic, complemented
22#36563C211yesmaximal, characteristic, complemented
23#36193C211yesmaximal, characteristic, complemented
24#36176C211yesmaximal, characteristic
25#35993C212yesmaximal, complemented
26#35945C212yesmaximal, complemented
27#35899C212yesmaximal, complemented
28#35747C212yesmaximal, complemented
29#35300C212yesmaximal
30#35284C211yesmaximal, characteristic, complemented
31#34625C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic
33#34335C211yesmaximal, characteristic, complemented
34#34317C211yesmaximal, characteristic, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2868C2211yescharacteristic
40#2861C2212yes—
41#2859C2212yes—
42#2859C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2855C2212yes—
46#2854C2212yes—
47#2839C2214yes—
48#2836C2214yes—
49#2836C2214yes—
50#2833C2214yes—
51#2833C2214yes—
52#2831C2214yes—
53#2802C2214yes—
54#2802C2214yes—
55#2783C2214yes—
56#2775C2214yes—
57#2774C2214yes—
58#2773C2214yes—
59#2769C2214yes—
60#2766C2214yes—
61#2765C2214yes—
62#2765C2214yes—
63#2755C2214yes—
64#2745C2214yes—
65#2726C2214yes—
66#2713C2214yes—
67#2713C2214yes—
68#2704C2214yes—
69#2698C2214yes—
70#2694C2214yes—
71#2689C2214yes—
72#2687C2214yes—
73#2683C2214yes—
74#2677C2214yes—
75#2677C2214yes—
76#2677C2214yes—
77#2667C2214yes—
78#2666C2214yes—
79#2666C2214yes—
80#2666C2214yes—
81#2665C2214yes—
82#2660C2212yes—
83#2660C2212yes—
84#2655C2214yes—
85#2655C2214yes—
86#2655C2214yes—
87#2654C2212yes—
88#2654C2214yes—
89#2654C2214yes—
90#2653C2212yes—
91#2650C2212yes—
92#2649C2212yes—
93#2647C2211yescharacteristic
94#2647C2212yes—
95#2647C2212yes—
96#2647C2212yes—
97#2647C2212yes—
98#2645C2212yes—
99#2645C2212yes—
100#2645C2211yescharacteristic
101#2644C2212yes—
102#2644C2211yescharacteristic
103#2640C2211yescharacteristic
104#2637C2214yes—
105#2634C2214yes—
106#2629C2212yes—
107#2629C2212yes—
108#2629C2212yes—
109#2628C2211yescharacteristic
110#2628C2212yes—
111#2625C2212yes—
112#2625C2214yes—
113#2625C2211yescharacteristic
114#2624C2211yescharacteristic
115#2621C2214yes—
116#2620C2211yescharacteristic
117#2606C2214yes—
118#2596C2214yes—
119#2594C2214yes—
120#2594C2214yes—
121#2594C2214yes—
122#2590C2214yes—
123#2587C2214yes—
124#2584C2212yes—
125#2584C2212yes—
126#2582C2211yescharacteristic
127#2582C2212yes—
128#2581C2212yes—
129#2581C2212yes—
130#2577C2214yes—
131#2576C2214yes—
132#2573C2214yes—
133#2571C2211yescharacteristic
134#2571C2212yes—
135#2570C2212yes—
136#2567C2211yescharacteristic
137#2567C2211yescharacteristic
138#2567C2211yescharacteristic
139#2565C2212yes—
140#2563C2211yescharacteristic
141#2558C2214yes—
142#2556C2214yes—
143#2552C2211yescharacteristic
144#2552C2212yes—
145#2551C2212yes—
146#2550C2214yes—
147#2550C2214yes—
148#2546C2212yes—
149#2542C2212yes—
150#2538C2211yescharacteristic
151#2538C2212yes—
152#2538C2212yes—
153#2533C2214yes—
154#2532C2214yes—
155#2529C2214yes—
156#2528C2214yes—
157#2528C2214yes—
158#2526C2214yes—
159#2525C2214yes—
160#2520C2214yes—
161#2520C2214yes—
162#2515C2214yes—
163#2514C2212yes—
164#2514C2212yes—
165#2514C2212yes—
166#2513C2212yes—
167#2513C2212yes—
168#2512C2212yes—
169#2511C2212yes—
170#2508C2212yes—
171#2508C2214yes—
172#2508C2212yes—
173#2508C2212yes—
174#2508C2212yes—
175#2507C2212yes—
176#2507C2212yes—
177#2507C2212yes—
178#2507C2212yes—
179#2507C2212yes—
180#2506C2212yes—
181#2506C2212yes—
182#2497C2212yes—
183#2497C2212yes—
184#2496C2212yes—
185#2495C2212yes—
186#2494C2212yes—
187#2492C2212yes—
188#2489C2212yes—
189#2488C2214yes—
190#2486C2212yes—
191#2479C2214yes—
192#2477C2214yes—
193#2475C2214yes—
194#2470C2214yes—
195#2469C2214yes—
196#2465C2214yes—
197#2453C2212yes—
198#2451C2214yes—
199#2446C2212yes—
200#2446C2212yes—
201#2446C2212yes—
202#2442C2212yes—
203#2440C2212yes—
204#2440C2212yes—
205#2440C2212yes—
206#2438C2214yes—
207#2429C2212yes—
208#2429C2212yes—
209#2429C2214yes—
210#2429C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2423C2212yes—
214#2421C2214yes—
215#2421C2212yes—
216#2417C2212yes—
217#2402C2214yes—
218#2401C2212yes—
219#2399C2214yes—
220#2398C2212yes—
221#2396C2212yes—
222#2396C2214yes—
223#2396C2214yes—
224#2395C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2369C2212yes—
230#2369C2211yescharacteristic
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2369C2211yescharacteristic
234#2368C2212yes—
235#2368C2212yes—
236#2365C2214yes—
237#2365C2212yes—
238#2365C2211yescharacteristic
239#2365C2211yescharacteristic
240#2362C2214yes—
241#2362C2212yes—
242#2362C2212yes—
243#2360C2211yescharacteristic
244#2360C2211yescharacteristic
245#2360C2211yescharacteristic
246#2360C2211yescharacteristic
247#2357C2212yes—
248#2355C2211yescharacteristic
249#2355C2211yescharacteristic
250#2355C2212yes—
251#2355C2212yes—
252#2354C2211yescharacteristic
253#2352C2212yes—
254#2351C2212yes—
255Q8×C4⋊C4C2211yescharacteristic
256Q8×C4⋊C4C2212yes—
257#2347C2212yes—
258#2346C2212yes—
259#2344C2212yes—
260#2344C2212yes—
261#2332C2214yes—
262#2331C2214yes—
263#2331C2212yes—
264#2330C2212yes—
265#2330C2212yes—
266#2326C2212yes—
267#2324C2212yes—
268#2323C2212yes—
269#2323C2212yes—
270#2314C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×#125C2212yes—
277C4×#125C2212yes—
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×#121C2211yescharacteristic
281#2296C2212yes—
282#2295C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2285C2212yes—
291#2283C2212yes—
292#2276C2212yes—
293#2274C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299Q82—28no—
300#554—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2314yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#124C2311yescharacteristic
321C2×#123C2314yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2314yes—
360C2×#117C2314yes—
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2311yescharacteristic
364C22×C42C2312yes—
365C22×C42C2311yescharacteristic
366#401C2314yes—
367#401C2312yes—
368#401C2314yes—
369#401C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#399C2314yes—
400#399C2314yes—
401#399C2312yes—
402#399C2312yes—
403#399C2314yes—
404#398C2314yes—
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#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2312yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#393C2314yes—
482#393C2312yes—
483#393C2314yes—
484#393C2312yes—
485#393C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2314yes—
593#389C2311yescharacteristic
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#387C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2314yes—
709#382C2312yes—
710#382C2314yes—
711#382C2314yes—
712#382C2314yes—
713#382C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801#376C2312yes—
802#376C2311yescharacteristic
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2311yescharacteristic
807#376C2312yes—
808C2×#95C2312yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2414yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—28no—
833C4⋊Q8—216no—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—28no—
837C4⋊Q8—24no—
838C4⋊Q8—84no—
839C4⋊Q8—82no—
840C4⋊Q8—82no—
841#126—84no—
842#125—28no—
843#125—28no—
844#125—28no—
845#125—44no—
846#125—84no—
847#125—84no—
848#124—24no—
849#123—84no—
850C22⋊Q8—24no—
851C22⋊Q8—28no—
852C22⋊Q8—24no—
853C22⋊Q8—24no—
854C22⋊Q8—28no—
855C22⋊Q8—216no—
856C22⋊Q8—44no—
857C22⋊Q8—82no—
858C22⋊Q8—84no—
859C22⋊Q8—84no—
860C22⋊Q8—84no—
861C22⋊Q8—82no—
862#121—24no—
863C4×Q8—28no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—28no—
870C4×Q8—44no—
871C4×Q8—42no—
872C4×Q8—44no—
873C4×Q8—42no—
874C4×Q8—84no—
875C4×Q8—84no—
876C4×Q8—82no—
877C4×Q8—82no—
878C4×Q8#4118yes—
879C4×D4—24no—
880C4×D4—28no—
881C4×D4—44no—
882#117—24no—
883#117—28no—
884#117—28no—
885#117—24no—
886#117—44no—
887#117—84no—
888#117—84no—
889C2×C4⋊C4—28no—
890C2×C4⋊C4—24no—
891C2×C4⋊C4—42no—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C42—28no—
1009C2×C42—24no—
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2414yes—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2414yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2412yes—
1063#95C2412yes—
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140C24C2512yes—
1141C24C2511yescharacteristic
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—24no—
1147C2×Q8—28no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—44no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—44no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8C2×#4114yes—
1166C2×D4—24no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—28no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—44no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—44no—
1191C22×C4—42no—
1192C22×C42−1+414yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4C2×#4114yes—
1310C4⋊C4C2×#4118yes—
1311C4⋊C42−1+414yes—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—24no—
1346C42—28no—
1347C42—24no—
1348C42—24no—
1349C42—24no—
1350C42—24no—
1351C42—24no—
1352C42—28no—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—24no—
1358C42—24no—
1359C42—22no—
1360C42—22no—
1361C42—24no—
1362C42—24no—
1363C42—22no—
1364C42—42no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
1368C42—42no—
1369C42—42no—
1370C42—44no—
1371C42—42no—
1372C42—42no—
1373C42—44no—
1374C42—41no—
1375C42—41no—
1376C42—44no—
1377C42—44no—
1378C42—42no—
1379C42—41no—
1380C42—41no—
1381C42C2×#4114yes—
1382C42C2×#4118yes—
1383C422−1+414yes—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23C2×2−1+412yes—
1398C23C2611yescharacteristic
1399Q8—28no—
1400Q8—48no—
1401Q8—44no—
1402Q8—44no—
1403Q8—84no—
1404Q8—88no—
1405Q8—84no—
1406Q8—84no—
1407D4—44no—
1408D4—84no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—28no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—24no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—48no—
1497C2×C4—44no—
1498C2×C4—48no—
1499C2×C4—88no—
1500C2×C4—82no—
1501C2×C4—84no—
1502C2×C4C22×#4114yes—
1503C2×C4C22×#4112yes—
1504C2×C4C22×#4114yes—
1505C2×C4C22×#4112yes—
1506C2×C4C22×#4112yes—
1507C2×C4C2×2−1+412yes—
1508C2×C4C2×2−1+414yes—
1509C2×C4C2×2−1+412yes—
1510C2×C4C2×2−1+412yes—
1511C2×C4C2×2−1+412yes—
1512C2×C4C2×2−1+412yes—
1513C2×C4C2×2−1+412yes—
1514C2×C4#58512yes—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22C23×#4111yescharacteristic
1530C22C22×2−1+411yescharacteristic
1531C22C22×2−1+411yescharacteristic
1532C22C22×2−1+411yescharacteristic
1533C22C2×#58511yescharacteristic
1534C22H(7,𝔽2)11yescharacteristic
1535C22H(7,𝔽2)11yescharacteristic
1536C4—22no—
1537C4—24no—
1538C4—22no—
1539C4—22no—
1540C4—24no—
1541C4—22no—
1542C4—24no—
1543C4—42no—
1544C4—44no—
1545C4—41no—
1546C4—42no—
1547C4—42no—
1548C4—44no—
1549C4—41no—
1550C4—44no—
1551C4—42no—
1552C4—42no—
1553C4—41no—
1554C4—41no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—41no—
1560C4—42no—
1561C4—42no—
1562C4—41no—
1563C4—44no—
1564C4—41no—
1565C4—41no—
1566C4—42no—
1567C4#346114yes—
1568C4#352314yes—
1569C2—42no—
1570C2—82no—
1571C2C2×#346111yescharacteristic
1572C2C2×#352311yescharacteristic
1573C2#6285811yescharacteristic
1574C2#6292611yescharacteristic
1575C2#6292911yescharacteristic
1576C2#6294311yescharacteristic
1577C2#6294511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42865C2semidirect
2. #42861C2semidirect
3. #42587C2semidirect
4. #42568C2semidirect
5. #42273C2semidirect
6. #42098C2semidirect
7. #41302C2semidirect
8. #41279C2semidirect
9. #39800C2semidirect
10. #39754C2semidirect
11. #39682C2semidirect
12. #39617C2semidirect
14. #39597C2semidirect
15. #37986C2semidirect
17. #37638C2semidirect
18. #37637C2semidirect
19. #37628C2semidirect
20. #37580C2semidirect
21. #36590C2semidirect
22. #36563C2semidirect
23. #36193C2semidirect
25. #35993C2semidirect
26. #35945C2semidirect
27. #35899C2semidirect
28. #35747C2semidirect
30. #35284C2semidirect
31. #34625C2semidirect
33. #34335C2semidirect
34. #34317C2semidirect
35. #34145C2semidirect

Maximal subgroups

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

subgroupindex
#428652
#428612
#425872
#425682
#422732
#420982
#413022
#412792
#398002
#397542
#396822
#396172
#395982
#395972
#379862
#379802
#376382
#376372
#376282
#375802
#365902
#365632
#361932
#361762
#359932
#359452
#358992
#357472
#353002
#352842
#346252
#346192
#343352
#343172
#341452