Finite Group Databasebeta

← #7657535

Subgroups — #7657535

Order 512.

4505 conjugacy classes of subgroups.

The subgroup lattice has 1621 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42849C212yesmaximal, complemented
2#42846C212yesmaximal, complemented
3#42783C212yesmaximal, complemented
4#42773C212yesmaximal, complemented
5#42146C214yesmaximal, complemented
6#42142C214yesmaximal, complemented
7#41798C214yesmaximal, complemented
8#41782C214yesmaximal, complemented
9#39754C211yesmaximal, characteristic, complemented
10#39744C211yesmaximal, characteristic, complemented
11#39285C212yesmaximal, complemented
12#39283C212yesmaximal, complemented
13#39139C211yesmaximal, characteristic, complemented
14#39136C211yesmaximal, characteristic
15#37774C212yesmaximal, complemented
16#37765C212yesmaximal, complemented
17#37628C211yesmaximal, characteristic, complemented
18#37628C212yesmaximal, complemented
19#37627C211yesmaximal, characteristic, complemented
20#37579C212yesmaximal, complemented
21#36481C211yesmaximal, characteristic, complemented
22#36449C211yesmaximal, characteristic, complemented
23#36134C211yesmaximal, characteristic, complemented
24#36114C211yesmaximal, characteristic, complemented
25#35945C212yesmaximal, complemented
26#35884C212yesmaximal, complemented
27#35798C212yesmaximal, complemented
28#35708C212yesmaximal, complemented
29#35323C212yesmaximal, complemented
30#35319C211yesmaximal, characteristic, complemented
31#34631C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34337C211yesmaximal, characteristic, complemented
34#34322C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#541C2212yes—
39C2×#533C2212yes—
40C2×#529C2211yescharacteristic
41C2×#529C2212yes—
42#2868C2211yescharacteristic
43#2863C2212yes—
44#2863C2212yes—
45#2859C2211yescharacteristic
46#2857C2212yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2851C2212yes—
50#2837C2214yes—
51#2836C2214yes—
52#2836C2214yes—
53#2836C2214yes—
54#2836C2214yes—
55#2829C2214yes—
56#2802C2214yes—
57#2802C2214yes—
58#2800C2214yes—
59#2795C2214yes—
60#2793C2214yes—
61#2777C2214yes—
62#2774C2214yes—
63#2772C2214yes—
64#2772C2214yes—
65#2766C2214yes—
66#2727C2214yes—
67#2727C2214yes—
68#2723C2214yes—
69#2721C2214yes—
70#2721C2214yes—
71#2721C2214yes—
72#2721C2214yes—
73#2721C2214yes—
74#2720C2214yes—
75#2719C2214yes—
76#2705C2214yes—
77#2705C2214yes—
78#2694C2214yes—
79#2694C2214yes—
80#2667C2214yes—
81#2664C2214yes—
82#2664C2214yes—
83#2663C2214yes—
84#2663C2214yes—
85#2660C2212yes—
86#2658C2212yes—
87#2654C2214yes—
88#2654C2212yes—
89#2654C2214yes—
90#2654C2214yes—
91#2653C2212yes—
92#2651C2214yes—
93#2651C2214yes—
94#2651C2214yes—
95#2650C2212yes—
96#2649C2212yes—
97#2648C2214yes—
98#2647C2212yes—
99#2647C2214yes—
100#2647C2211yescharacteristic
101#2645C2211yescharacteristic
102#2644C2212yes—
103#2644C2214yes—
104#2644C2211yescharacteristic
105#2642C2212yes—
106#2640C2211yescharacteristic
107#2629C2212yes—
108#2628C2211yescharacteristic
109#2625C2211yescharacteristic
110#2625C2212yes—
111#2625C2212yes—
112#2624C2211yescharacteristic
113#2624C2212yes—
114#2621C2212yes—
115#2621C2212yes—
116#2621C2212yes—
117#2620C2211yescharacteristic
118#2620C2212yes—
119#2620C2212yes—
120#2608C2214yes—
121#2606C2214yes—
122#2596C2214yes—
123#2595C2214yes—
124#2594C2214yes—
125#2590C2214yes—
126#2590C2214yes—
127#2590C2214yes—
128#2585C2214yes—
129#2584C2212yes—
130#2581C2212yes—
131#2578C2214yes—
132#2577C2214yes—
133#2577C2214yes—
134#2573C2214yes—
135#2571C2211yescharacteristic
136#2571C2212yes—
137#2570C2212yes—
138#2552C2212yes—
139#2552C2212yes—
140#2552C2211yescharacteristic
141#2547C2211yescharacteristic
142#2546C2212yes—
143#2546C2211yescharacteristic
144#2545C2212yes—
145#2542C2211yescharacteristic
146#2542C2211yescharacteristic
147#2542C2212yes—
148#2540C2212yes—
149#2538C2211yescharacteristic
150#2538C2212yes—
151#2538C2212yes—
152#2538C2212yes—
153#2537C2211yescharacteristic
154#2536C2212yes—
155#2533C2214yes—
156#2533C2214yes—
157#2531C2214yes—
158#2530C2214yes—
159#2530C2214yes—
160#2530C2214yes—
161#2526C2214yes—
162#2522C2214yes—
163#2518C2214yes—
164#2513C2214yes—
165#2513C2212yes—
166#2508C2212yes—
167#2507C2212yes—
168#2507C2214yes—
169#2507C2212yes—
170#2506C2212yes—
171#2506C2212yes—
172#2506C2212yes—
173#2506C2212yes—
174#2497C2212yes—
175#2496C2212yes—
176#2496C2212yes—
177#2496C2212yes—
178#2496C2212yes—
179#2496C2212yes—
180#2495C2212yes—
181#2490C2212yes—
182#2490C2212yes—
183#2485C2212yes—
184#2479C2214yes—
185#2479C2214yes—
186#2475C2214yes—
187#2470C2214yes—
188#2469C2214yes—
189#2467C2214yes—
190#2466C2214yes—
191#2462C2214yes—
192#2454C2214yes—
193#2453C2212yes—
194#2448C2212yes—
195#2441C2212yes—
196#2441C2212yes—
197#2441C2212yes—
198#2441C2212yes—
199#2441C2214yes—
200#2441C2214yes—
201#2429C2212yes—
202#2429C2212yes—
203#2429C2212yes—
204#2429C2212yes—
205#2427C2212yes—
206#2426C2212yes—
207#2426C2212yes—
208#2423C2214yes—
209#2423C2212yes—
210#2423C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2423C2212yes—
214#2422C2212yes—
215#2421C2212yes—
216#2421C2212yes—
217#2421C2212yes—
218#2420C2212yes—
219#2414C2212yes—
220#2401C2212yes—
221#2398C2212yes—
222#2396C2212yes—
223#2396C2214yes—
224#2396C2214yes—
225#2395C2214yes—
226#2395C2214yes—
227#2395C2212yes—
228#2374C2212yes—
229#2374C2212yes—
230#2373C2214yes—
231#2373C2212yes—
232#2373C2212yes—
233#2370C2211yescharacteristic
234#2370C2214yes—
235#2370C2212yes—
236#2370C2212yes—
237#2370C2211yescharacteristic
238#2367C2212yes—
239#2367C2211yescharacteristic
240#2367C2211yescharacteristic
241#2365C2211yescharacteristic
242#2365C2211yescharacteristic
243#2365C2212yes—
244#2363C2211yescharacteristic
245#2363C2211yescharacteristic
246#2362C2211yescharacteristic
247#2362C2211yescharacteristic
248#2361C2212yes—
249#2360C2212yes—
250#2355C2211yescharacteristic
251#2354C2212yes—
252#2352C2212yes—
253#2351C2212yes—
254Q8×C4⋊C4C2211yescharacteristic
255Q8×C4⋊C4C2211yescharacteristic
256Q8×C4⋊C4C2212yes—
257Q8×C4⋊C4C2212yes—
258Q8×C4⋊C4C2212yes—
259D4×C4⋊C4C2211yescharacteristic
260#2347C2212yes—
261#2346C2212yes—
262#2345C2212yes—
263#2344C2212yes—
264#2334C2214yes—
265#2330C2212yes—
266#2330C2214yes—
267#2330C2212yes—
268#2327C2212yes—
269#2327C2212yes—
270#2323C2212yes—
271#2323C2212yes—
272#2323C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2212yes—
278C4×#124C2212yes—
279C4×#124C2211yescharacteristic
280C4×#124C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×#121C2211yescharacteristic
283#2298C2212yes—
284#2295C2212yes—
285#2295C2211yescharacteristic
286#2295C2212yes—
287#2295C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2290C2212yes—
292#2276C2212yes—
293#2274C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299#557—28no—
300#556—28no—
301#541—48no—
302#533—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310#529—28no—
311#529—48no—
312C2×#126C2314yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2314yes—
375C2×#117C2314yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C42C2312yes—
381C22×C42C2311yescharacteristic
382#401C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2312yes—
411#399C2312yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2312yes—
482#395C2314yes—
483#395C2314yes—
484#395C2312yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#393C2312yes—
499#393C2312yes—
500#393C2312yes—
501#392C2314yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2311yescharacteristic
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2311yescharacteristic
530#390C2314yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2314yes—
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#386C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2314yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2314yes—
712#383C2314yes—
713#383C2314yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2311yescharacteristic
720#382C2314yes—
721#381C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2311yescharacteristic
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809#376C2314yes—
810#376C2312yes—
811#376C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2312yes—
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—28no—
837C4⋊Q8—24no—
838C4⋊Q8—28no—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841#126—28no—
842#126—216no—
843#126—48no—
844#126—48no—
845#126—48no—
846#125—24no—
847#125—28no—
848#125—216no—
849#125—28no—
850#125—44no—
851#125—48no—
852#125—48no—
853#125—48no—
854#124—24no—
855#124—28no—
856#124—24no—
857#124—44no—
858#123—28no—
859#123—48no—
860C22⋊Q8—24no—
861C22⋊Q8—28no—
862C22⋊Q8—44no—
863C22⋊Q8—42no—
864C22⋊Q8—44no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—48no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871#121—24no—
872#121—44no—
873#121—42no—
874#121—44no—
875C4×Q8—28no—
876C4×Q8—24no—
877C4×Q8—28no—
878C4×Q8—24no—
879C4×Q8—28no—
880C4×Q8—44no—
881C4×Q8—42no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—48no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8#4118yes—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—24no—
894C4×D4—42no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—48no—
898#117—28no—
899#117—24no—
900#117—28no—
901#117—24no—
902#117—44no—
903#117—42no—
904#117—44no—
905#117—48no—
906#117—42no—
907#117—48no—
908C2×C4⋊C4—28no—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C42—24no—
1038C2×C42—28no—
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156C24C2512yes—
1157C24C2512yes—
1158C24C2511yescharacteristic
1159C2×Q8—24no—
1160C2×Q8—22no—
1161C2×Q8—24no—
1162C2×Q8—22no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—42no—
1172C2×Q8—42no—
1173C2×Q8C2×#4114yes—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—44no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—42no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—22no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—28no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—42no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2514yes—
1233C22×C4C2512yes—
1234C22×C4C2514yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—28no—
1253C4⋊C4—28no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4C2×#4114yes—
1324C4⋊C4C2×#4118yes—
1325C4⋊C42−1+414yes—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—28no—
1377C42—28no—
1378C42—24no—
1379C42—24no—
1380C42—24no—
1381C42—24no—
1382C42—22no—
1383C42—24no—
1384C42—22no—
1385C42—24no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—24no—
1390C42—24no—
1391C42—22no—
1392C42—22no—
1393C42—24no—
1394C42—42no—
1395C42—44no—
1396C42—41no—
1397C42—41no—
1398C42—41no—
1399C42—41no—
1400C42—42no—
1401C42—42no—
1402C42—42no—
1403C42—42no—
1404C42—44no—
1405C42—44no—
1406C42—44no—
1407C42—42no—
1408C42—44no—
1409C42—44no—
1410C42—44no—
1411C42C2×#4114yes—
1412C42C2×#4118yes—
1413C42H(5,𝔽2)14yes—
1414C23—22no—
1415C23—22no—
1416C23—21no—
1417C23—21no—
1418C23—22no—
1419C23—22no—
1420C23—21no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—21no—
1426C23—21no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—21no—
1433C23—22no—
1434C23—21no—
1435C23C2611yescharacteristic
1436Q8—28no—
1437Q8—48no—
1438Q8—48no—
1439Q8—44no—
1440Q8—48no—
1441D4—44no—
1442D4—44no—
1443D4—84no—
1444D4—88no—
1445D4—84no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—21no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—48no—
1531C2×C4—44no—
1532C2×C4—48no—
1533C2×C4—44no—
1534C2×C4—48no—
1535C2×C4—82no—
1536C2×C4—84no—
1537C2×C4—88no—
1538C2×C4C22×#4114yes—
1539C2×C4C22×#4114yes—
1540C2×C4C22×#4112yes—
1541C2×C4C22×#4112yes—
1542C2×C4C22×#4112yes—
1543C2×C4C2×H(5,𝔽2)12yes—
1544C2×C4C2×H(5,𝔽2)12yes—
1545C2×C4C2×H(5,𝔽2)12yes—
1546C2×C4C2×2−1+414yes—
1547C2×C4C2×2−1+412yes—
1548C2×C4#58512yes—
1549C2×C4#58512yes—
1550C22—42no—
1551C22—41no—
1552C22—42no—
1553C22—41no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—41no—
1559C22—42no—
1560C22—41no—
1561C22—42no—
1562C22—41no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—41no—
1568C22—41no—
1569C22—42no—
1570C22—42no—
1571C22C23×#4111yescharacteristic
1572C22C22×H(5,𝔽2)11yescharacteristic
1573C22C22×2−1+411yescharacteristic
1574C22C2×#58511yescharacteristic
1575C22C2×#58511yescharacteristic
1576C222−1+611yescharacteristic
1577C222−1+611yescharacteristic
1578C4—22no—
1579C4—24no—
1580C4—22no—
1581C4—24no—
1582C4—22no—
1583C4—24no—
1584C4—41no—
1585C4—42no—
1586C4—44no—
1587C4—42no—
1588C4—44no—
1589C4—42no—
1590C4—41no—
1591C4—41no—
1592C4—42no—
1593C4—44no—
1594C4—42no—
1595C4—42no—
1596C4—41no—
1597C4—42no—
1598C4—41no—
1599C4—42no—
1600C4—41no—
1601C4—42no—
1602C4—42no—
1603C4—41no—
1604C4—44no—
1605C4—41no—
1606C4—41no—
1607C4—42no—
1608C4#346114yes—
1609C4#351714yes—
1610C2—81no—
1611C2—82no—
1612C2—82no—
1613C2C2×#346111yescharacteristic
1614C2C2×#351711yescharacteristic
1615C2#6286111yescharacteristic
1616C2#6292511yescharacteristic
1617C2#6293911yescharacteristic
1618C2#6294211yescharacteristic
1619C2#6295311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39136C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42849C2semidirect
2. #42846C2semidirect
3. #42783C2semidirect
4. #42773C2semidirect
5. #42146C2semidirect
6. #42142C2semidirect
7. #41798C2semidirect
8. #41782C2semidirect
9. #39754C2semidirect
10. #39744C2semidirect
11. #39285C2semidirect
12. #39283C2semidirect
13. #39139C2semidirect
15. #37774C2semidirect
16. #37765C2semidirect
17. #37628C2semidirect
18. #37628C2semidirect
19. #37627C2semidirect
20. #37579C2semidirect
21. #36481C2semidirect
22. #36449C2semidirect
23. #36134C2semidirect
24. #36114C2semidirect
25. #35945C2semidirect
26. #35884C2semidirect
27. #35798C2semidirect
28. #35708C2semidirect
29. #35323C2semidirect
30. #35319C2semidirect
31. #34631C2semidirect
32. #34619C2semidirect
33. #34337C2semidirect
34. #34322C2semidirect
35. #34151C2semidirect

Maximal subgroups

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

subgroupindex
#428492
#428462
#427832
#427732
#421462
#421422
#417982
#417822
#397542
#397442
#392852
#392832
#391392
#391362
#377742
#377652
#376282
#376272
#375792
#364812
#364492
#361342
#361142
#359452
#358842
#357982
#357082
#353232
#353192
#346312
#346192
#343372
#343222
#341512