Finite Group Databasebeta

← #7987171

Subgroups — #7987171

Order 512.

4359 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59499C212yesmaximal, complemented
2#59467C211yesmaximal, characteristic, complemented
3#59305C211yesmaximal, characteristic, complemented
4#59235C211yesmaximal, characteristic, complemented
5#59209C212yesmaximal, complemented
6#51708C214yesmaximal, complemented
7#50388C214yesmaximal, complemented
8#46116C212yesmaximal, complemented
9#45700C212yesmaximal, complemented
10#45153C212yesmaximal, complemented
11#45107C212yesmaximal
12#43627C214yesmaximal, complemented
13#42948C212yesmaximal, complemented
14#42744C212yesmaximal, complemented
15#41856C214yesmaximal, complemented
16#40192C212yesmaximal, complemented
17#40051C212yesmaximal, complemented
18#39350C211yesmaximal, characteristic, complemented
19#39146C212yesmaximal, complemented
20#39146C211yesmaximal, characteristic, complemented
21#39008C212yesmaximal, complemented
22#38267C212yesmaximal, complemented
23#36497C211yesmaximal, characteristic, complemented
24#36450C211yesmaximal, characteristic, complemented
25#36290C211yesmaximal, characteristic, complemented
26#36196C212yesmaximal, complemented
27#36189C211yesmaximal, characteristic, complemented
28#36177C211yesmaximal, characteristic, complemented
29#35286C211yesmaximal, characteristic, complemented
30#35239C211yesmaximal, characteristic, complemented
31#35017C212yesmaximal, complemented
32#34945C211yesmaximal, characteristic, complemented
33#34898C211yesmaximal, characteristic, complemented
34#34429C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic
36C2×#553C2211yescharacteristic
37C2×#542C2212yes—
38#2864C2212yes—
39#2863C2212yes—
40#2859C2212yes—
41#2859C2211yescharacteristic
42#2859C2212yes—
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2212yes—
46#2855C2212yes—
47#2851C2212yes—
48#2851C2212yes—
49#2839C2214yes—
50#2839C2214yes—
51#2791C2214yes—
52#2791C2214yes—
53#2790C2214yes—
54#2789C2214yes—
55#2787C2214yes—
56#2776C2214yes—
57#2776C2214yes—
58#2770C2214yes—
59#2770C2214yes—
60#2770C2214yes—
61#2770C2214yes—
62#2770C2214yes—
63#2769C2214yes—
64#2768C2214yes—
65#2766C2214yes—
66#2765C2214yes—
67#2762C2214yes—
68#2750C2214yes—
69#2747C2214yes—
70#2747C2214yes—
71#2746C2214yes—
72#2746C2214yes—
73#2746C2214yes—
74#2744C2214yes—
75#2744C2214yes—
76#2744C2214yes—
77#2743C2214yes—
78#2722C2214yes—
79#2717C2214yes—
80#2717C2214yes—
81#2708C2214yes—
82#2698C2214yes—
83#2689C2214yes—
84#2667C2214yes—
85#2666C2214yes—
86#2666C2214yes—
87#2655C2214yes—
88#2652C2214yes—
89#2647C2214yes—
90#2645C2212yes—
91#2645C2214yes—
92#2625C2212yes—
93#2609C2214yes—
94#2606C2214yes—
95#2590C2214yes—
96#2585C2214yes—
97#2579C2214yes—
98#2577C2212yes—
99#2577C2214yes—
100#2575C2212yes—
101#2573C2214yes—
102#2573C2214yes—
103#2573C2214yes—
104#2571C2211yescharacteristic
105#2571C2212yes—
106#2571C2211yescharacteristic
107#2570C2212yes—
108#2570C2211yescharacteristic
109#2570C2212yes—
110#2570C2212yes—
111#2568C2211yescharacteristic
112#2566C2212yes—
113#2565C2211yescharacteristic
114#2565C2212yes—
115#2562C2211yescharacteristic
116#2562C2212yes—
117#2562C2212yes—
118#2556C2214yes—
119#2552C2212yes—
120#2552C2211yescharacteristic
121#2552C2211yescharacteristic
122#2552C2212yes—
123#2552C2211yescharacteristic
124#2552C2211yescharacteristic
125#2551C2211yescharacteristic
126#2550C2212yes—
127#2550C2212yes—
128#2547C2212yes—
129#2547C2211yescharacteristic
130#2538C2211yescharacteristic
131#2536C2211yescharacteristic
132#2533C2214yes—
133#2533C2214yes—
134#2533C2214yes—
135#2530C2214yes—
136#2528C2214yes—
137#2524C2212yes—
138#2520C2214yes—
139#2520C2214yes—
140#2514C2212yes—
141#2514C2212yes—
142#2514C2212yes—
143#2514C2212yes—
144#2511C2212yes—
145#2509C2212yes—
146#2509C2212yes—
147#2509C2212yes—
148#2508C2212yes—
149#2507C2212yes—
150#2507C2212yes—
151#2507C2212yes—
152#2507C2212yes—
153#2505C2214yes—
154#2503C2212yes—
155#2502C2212yes—
156#2499C2212yes—
157#2497C2212yes—
158#2497C2212yes—
159#2497C2212yes—
160#2496C2212yes—
161#2496C2211yescharacteristic
162#2495C2211yescharacteristic
163#2494C2214yes—
164#2494C2212yes—
165#2494C2212yes—
166#2494C2212yes—
167#2493C2214yes—
168#2493C2214yes—
169#2489C2212yes—
170#2489C2212yes—
171#2487C2212yes—
172#2487C2212yes—
173#2486C2214yes—
174#2486C2212yes—
175#2484C2214yes—
176#2475C2214yes—
177#2473C2214yes—
178#2473C2214yes—
179#2468C2212yes—
180#2466C2214yes—
181#2466C2214yes—
182#2462C2214yes—
183#2462C2214yes—
184#2453C2212yes—
185#2453C2212yes—
186#2453C2212yes—
187#2451C2212yes—
188#2451C2212yes—
189#2449C2214yes—
190#2447C2212yes—
191#2447C2212yes—
192#2442C2212yes—
193#2442C2212yes—
194#2442C2212yes—
195#2442C2212yes—
196#2442C2212yes—
197#2442C2212yes—
198#2442C2214yes—
199#2442C2212yes—
200#2442C2212yes—
201#2441C2212yes—
202#2440C2212yes—
203#2440C2212yes—
204#2438C2214yes—
205#2427C2212yes—
206#2427C2214yes—
207#2423C2211yescharacteristic
208#2423C2212yes—
209#2423C2212yes—
210#2423C2214yes—
211#2421C2211yescharacteristic
212#2421C2212yes—
213#2420C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2417C2212yes—
217#2402C2212yes—
218#2401C2214yes—
219#2395C2212yes—
220#2383C2214yes—
221#2376C2214yes—
222#2374C2212yes—
223#2373C2214yes—
224#2373C2214yes—
225#2373C2212yes—
226#2370C2212yes—
227#2370C2212yes—
228#2370C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2365C2212yes—
232#2364C2212yes—
233#2363C2211yescharacteristic
234#2362C2212yes—
235#2361C2212yes—
236#2361C2211yescharacteristic
237#2360C2212yes—
238#2360C2212yes—
239#2359C2214yes—
240#2357C2211yescharacteristic
241#2356C2212yes—
242#2355C2211yescharacteristic
243#2355C2212yes—
244#2355C2211yescharacteristic
245#2354C2212yes—
246#2353C2212yes—
247#2352C2212yes—
248#2352C2211yescharacteristic
249Q8×C4⋊C4C2212yes—
250#2349C2212yes—
251D4×C4⋊C4C2212yes—
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic
255#2347C2211yescharacteristic
256#2345C2212yes—
257#2345C2211yescharacteristic
258#2344C2212yes—
259#2337C2214yes—
260#2331C2212yes—
261#2330C2212yes—
262#2329C2214yes—
263#2326C2212yes—
264#2326C2214yes—
265#2323C2214yes—
266#2318C2214yes—
267#2317C2212yes—
268#2316C2212yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×#125C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#125C2212yes—
274C4×#126C2212yes—
275C4×#126C2212yes—
276C4×#124C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×#123C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284#2298C2212yes—
285#2295C2212yes—
286C2×#389C2212yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289C2×#384C2211yescharacteristic
290#2283C2212yes—
291#2283C2212yes—
292#2283C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#553—28no—
300#542—216no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×#126C2312yes—
305C2×#126C2312yes—
306C2×#126C2314yes—
307C2×#125C2311yescharacteristic
308C2×#125C2311yescharacteristic
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#124C2314yes—
316C2×#124C2312yes—
317C2×#123C2314yes—
318C2×#123C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×#121C2311yescharacteristic
327C2×#121C2312yes—
328C2×#121C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2314yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2314yes—
349C2×#117C2311yescharacteristic
350C2×#117C2312yes—
351C2×#117C2311yescharacteristic
352C2×#117C2314yes—
353C2×#117C2312yes—
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2312yes—
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2314yes—
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2312yes—
365C22×C42C2312yes—
366#401C2314yes—
367#401C2314yes—
368#401C2314yes—
369#401C2314yes—
370#400C2314yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#399C2312yes—
401#399C2314yes—
402#399C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
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#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2312yes—
460#391C2312yes—
461#391C2314yes—
462#391C2311yescharacteristic
463#391C2312yes—
464#391C2311yescharacteristic
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#390C2311yescharacteristic
479#390C2312yes—
480#390C2311yescharacteristic
481#390C2312yes—
482#389C2311yescharacteristic
483#389C2311yescharacteristic
484#389C2311yescharacteristic
485#389C2312yes—
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2312yes—
489#389C2312yes—
490#389C2314yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2314yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2314yes—
579#387C2314yes—
580#387C2312yes—
581#387C2314yes—
582#387C2314yes—
583#387C2312yes—
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#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2312yes—
630#386C2314yes—
631#386C2312yes—
632#386C2312yes—
633#386C2314yes—
634#386C2312yes—
635#386C2312yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2312yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#384C2312yes—
660#384C2311yescharacteristic
661#384C2312yes—
662#384C2311yescharacteristic
663#384C2312yes—
664#384C2312yes—
665#384C2311yescharacteristic
666#384C2312yes—
667#384C2311yescharacteristic
668#384C2314yes—
669#384C2312yes—
670#384C2311yescharacteristic
671#384C2312yes—
672#383C2312yes—
673#383C2312yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#383C2312yes—
678#383C2314yes—
679#382C2311yescharacteristic
680#382C2312yes—
681#382C2311yescharacteristic
682#382C2311yescharacteristic
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2314yes—
695#382C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2312yes—
700#381C2314yes—
701#381C2312yes—
702#381C2314yes—
703#380C2311yescharacteristic
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2311yescharacteristic
713#380C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2314yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2314yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2312yes—
807C2×#95C2314yes—
808C2×#95C2312yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C22×Q8C2411yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2414yes—
815C22×D4C2412yes—
816C22×D4C2411yescharacteristic
817C22×D4C2411yescharacteristic
818C22×D4C2412yes—
819C23×C4C2411yescharacteristic
820C23×C4C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2414yes—
833C4⋊Q8—28no—
834C4⋊Q8—24no—
835C4⋊Q8—44no—
836#126—216no—
837#126—28no—
838#126—28no—
839#125—24no—
840#125—44no—
841#125—42no—
842#125—44no—
843#125—44no—
844#125—44no—
845#125—82no—
846#125—84no—
847#124—28no—
848#124—216no—
849#123—216no—
850#123—28no—
851C22⋊Q8—28no—
852C22⋊Q8—216no—
853C22⋊Q8—42no—
854C22⋊Q8—44no—
855C22⋊Q8—44no—
856C22⋊Q8—42no—
857C22⋊Q8—84no—
858#121—28no—
859#121—24no—
860#121#4118yes—
861C4×Q8—28no—
862C4×Q8—24no—
863C4×Q8—42no—
864C4×Q8—44no—
865C4×Q8—44no—
866C4×Q8—42no—
867C4×Q8—84no—
868C4×D4—28no—
869C4×D4—24no—
870C4×D4—24no—
871C4×D4—28no—
872C4×D4—24no—
873C4×D4—28no—
874C4×D4—24no—
875C4×D4—42no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—42no—
879C4×D4—44no—
880C4×D4—84no—
881#117—28no—
882#117—24no—
883#117—42no—
884#117—82no—
885#117—84no—
886C2×C4⋊C4—24no—
887C2×C4⋊C4—44no—
888C2×C4⋊C4—44no—
889C2×C4⋊C4—44no—
890C2×C4⋊C4—42no—
891C2×C4⋊C4—44no—
892C2×C4⋊C4—84no—
893C2×C4⋊C4—82no—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C42—24no—
1011C2×C42—24no—
1012C2×C42—44no—
1013C2×C42—44no—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052#95C2412yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2411yescharacteristic
1081#95C2412yes—
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2412yes—
1085#95C2412yes—
1086#95C2411yescharacteristic
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
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
1142C24C2511yescharacteristic
1143C2×Q8—24no—
1144C2×Q8—28no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—44no—
1151C2×Q8—44no—
1152C2×D4—22no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—41no—
1161C2×D4—42no—
1162C2×D4C2×#4114yes—
1163C2×D4C2×#4118yes—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—24no—
1168C22×C4—28no—
1169C22×C4—24no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—42no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—42no—
1200C22×C4—44no—
1201C22×C4—42no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4C2×#4114yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2514yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2514yes—
1228C22×C4C2514yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—41no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
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—42no—
1316C4⋊C4—44no—
1317C4⋊C4C2×#4114yes—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—22no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—41no—
1339C22⋊C4—44no—
1340C22⋊C4—41no—
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—44no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4C2×#4118yes—
1353C22⋊C42−1+414yes—
1354C42—24no—
1355C42—24no—
1356C42—24no—
1357C42—22no—
1358C42—28no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—22no—
1370C42—24no—
1371C42—24no—
1372C42—22no—
1373C42—22no—
1374C42—24no—
1375C42—24no—
1376C42—42no—
1377C42—42no—
1378C42—42no—
1379C42—42no—
1380C42—42no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—42no—
1386C42—44no—
1387C42—42no—
1388C42—42no—
1389C42—42no—
1390C42—41no—
1391C422−1+414yes—
1392C23—21no—
1393C23—22no—
1394C23—22no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—22no—
1401C23—21no—
1402C23—22no—
1403C23—21no—
1404C23—21no—
1405C23—22no—
1406C23—21no—
1407C23—21no—
1408C23—22no—
1409C23—21no—
1410C23C22×#4112yes—
1411C23C22×#4114yes—
1412C23C2×2−1+412yes—
1413C23C2611yescharacteristic
1414Q8—48no—
1415Q8—44no—
1416Q8—88no—
1417D4—28no—
1418D4—48no—
1419D4—48no—
1420D4—44no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—28no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—22no—
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—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—24no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—48no—
1513C2×C4—84no—
1514C2×C4—84no—
1515C2×C4—84no—
1516C2×C4—88no—
1517C2×C4—84no—
1518C2×C4—88no—
1519C2×C4—164no—
1520C2×C4C22×#4112yes—
1521C2×C4C22×#4114yes—
1522C2×C4C22×#4112yes—
1523C2×C4C2×2−1+412yes—
1524C2×C4C2×2−1+412yes—
1525C2×C4C2×2−1+412yes—
1526C2×C4C2×2−1+412yes—
1527C2×C4C2×2−1+412yes—
1528C2×C4#58512yes—
1529C2×C4#58512yes—
1530C2×C4#58512yes—
1531C22—24no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—24no—
1536C22—22no—
1537C22—24no—
1538C22—22no—
1539C22—22no—
1540C22—41no—
1541C22—42no—
1542C22—41no—
1543C22—41no—
1544C22—42no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—42no—
1549C22—42no—
1550C22—41no—
1551C22—41no—
1552C22C23×#4111yescharacteristic
1553C22C22×2−1+411yescharacteristic
1554C22C22×2−1+411yescharacteristic
1555C22C2×#58511yescharacteristic
1556C22C2×#58511yescharacteristic
1557C22C2×#58511yescharacteristic
1558C22H(7,𝔽2)11yescharacteristic
1559C4—24no—
1560C4—22no—
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—42no—
1565C4—41no—
1566C4—42no—
1567C4—44no—
1568C4—42no—
1569C4—41no—
1570C4—41no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—42no—
1575C4—42no—
1576C4—41no—
1577C4—44no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4—41no—
1582C4—42no—
1583C4—41no—
1584C4—41no—
1585C4—42no—
1586C4—42no—
1587C4—44no—
1588C4—44no—
1589C4#351514yes—
1590C4#356514yes—
1591C2—44no—
1592C2—42no—
1593C2—42no—
1594C2C2×#356511yescharacteristic
1595C2C2×#351511yescharacteristic
1596C2#6280511yescharacteristic
1597C2#6294511yescharacteristic
1598C2#6296911yescharacteristic
1599C2#6299211yescharacteristic
1600C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#553C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59499C2semidirect
2. #59467C2semidirect
3. #59305C2semidirect
4. #59235C2semidirect
5. #59209C2semidirect
6. #51708C2semidirect
7. #50388C2semidirect
8. #46116C2semidirect
9. #45700C2semidirect
10. #45153C2semidirect
12. #43627C2semidirect
13. #42948C2semidirect
14. #42744C2semidirect
15. #41856C2semidirect
16. #40192C2semidirect
17. #40051C2semidirect
18. #39350C2semidirect
19. #39146C2semidirect
20. #39146C2semidirect
21. #39008C2semidirect
22. #38267C2semidirect
23. #36497C2semidirect
24. #36450C2semidirect
25. #36290C2semidirect
26. #36196C2semidirect
27. #36189C2semidirect
28. #36177C2semidirect
29. #35286C2semidirect
30. #35239C2semidirect
31. #35017C2semidirect
32. #34945C2semidirect
33. #34898C2semidirect
34. #34429C2semidirect

Maximal subgroups

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

subgroupindex
#594992
#594672
#593052
#592352
#592092
#517082
#503882
#461162
#457002
#451532
#451072
#436272
#429482
#427442
#418562
#401922
#400512
#393502
#391462
#390082
#382672
#364972
#364502
#362902
#361962
#361892
#361772
#352862
#352392
#350172
#349452
#348982
#344292
C4×#5532