Finite Group Databasebeta

← #7693124

Subgroups — #7693124

Order 512.

4722 conjugacy classes of subgroups.

The subgroup lattice has 1667 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59642C211yesmaximal, characteristic, complemented
2#59584C212yesmaximal, complemented
3#59554C214yesmaximal, complemented
4#59333C212yesmaximal, complemented
5#59237C212yesmaximal, complemented
6#59217C211yesmaximal, characteristic, complemented
7#59211C211yesmaximal, characteristic, complemented
8#59037C212yesmaximal, complemented
9#45401C212yesmaximal, complemented
10#45282C212yesmaximal, complemented
11#44506C214yesmaximal, complemented
12#43237C214yesmaximal, complemented
13#39905C212yesmaximal, complemented
14#39900C212yesmaximal, complemented
15#38995C214yesmaximal, complemented
16#38933C211yesmaximal, characteristic, complemented
17#38930C211yesmaximal, characteristic, complemented
18#38927C212yesmaximal, complemented
19#36579C211yesmaximal, characteristic, complemented
20#36535C211yesmaximal, characteristic, complemented
21#36504C211yesmaximal, characteristic, complemented
22#36484C212yesmaximal, complemented
23#36417C212yesmaximal, complemented
24#36210C211yesmaximal, characteristic, complemented
25#36172C212yesmaximal, complemented
26#36114C211yesmaximal, characteristic, complemented
27#36050C212yesmaximal, complemented
28#35849C212yesmaximal, complemented
29#34943C211yesmaximal, characteristic, complemented
30#34898C212yesmaximal, complemented
31#34237C212yesmaximal, complemented
32#34196C211yesmaximal, characteristic, complemented
33#34191C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#548C2211yescharacteristic
38C2×#529C2212yes—
39C2×C4×#41C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41#2865C2214yes—
42#2864C2212yes—
43#2859C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2851C2212yes—
47#2850C2212yes—
48#2850C2212yes—
49#2807C2214yes—
50#2781C2214yes—
51#2779C2214yes—
52#2770C2214yes—
53#2769C2214yes—
54#2768C2214yes—
55#2767C2214yes—
56#2766C2214yes—
57#2762C2214yes—
58#2759C2214yes—
59#2754C2214yes—
60#2753C2214yes—
61#2752C2214yes—
62#2743C2214yes—
63#2741C2214yes—
64#2738C2214yes—
65#2738C2214yes—
66#2737C2214yes—
67#2737C2214yes—
68#2687C2214yes—
69#2671C2214yes—
70#2653C2214yes—
71#2651C2214yes—
72#2647C2212yes—
73#2647C2212yes—
74#2597C2214yes—
75#2596C2214yes—
76#2595C2214yes—
77#2593C2214yes—
78#2592C2212yes—
79#2590C2214yes—
80#2589C2214yes—
81#2588C2214yes—
82#2588C2214yes—
83#2582C2212yes—
84#2581C2212yes—
85#2581C2212yes—
86#2580C2212yes—
87#2577C2214yes—
88#2577C2214yes—
89#2576C2214yes—
90#2575C2214yes—
91#2575C2214yes—
92#2574C2214yes—
93#2572C2214yes—
94#2572C2212yes—
95#2572C2212yes—
96#2571C2211yescharacteristic
97#2571C2211yescharacteristic
98#2570C2212yes—
99#2570C2212yes—
100#2570C2212yes—
101#2568C2211yescharacteristic
102#2565C2212yes—
103#2565C2212yes—
104#2563C2211yescharacteristic
105#2563C2211yescharacteristic
106#2562C2212yes—
107#2562C2212yes—
108#2552C2211yescharacteristic
109#2550C2212yes—
110#2542C2211yescharacteristic
111#2540C2212yes—
112#2538C2211yescharacteristic
113#2537C2212yes—
114#2537C2211yescharacteristic
115#2537C2211yescharacteristic
116#2536C2212yes—
117#2536C2212yes—
118#2536C2212yes—
119#2532C2214yes—
120#2532C2214yes—
121#2530C2214yes—
122#2529C2214yes—
123#2528C2214yes—
124#2526C2214yes—
125#2525C2214yes—
126#2524C2214yes—
127#2524C2214yes—
128#2524C2214yes—
129#2521C2214yes—
130#2518C2214yes—
131#2516C2214yes—
132#2515C2214yes—
133#2514C2212yes—
134#2514C2212yes—
135#2513C2212yes—
136#2510C2214yes—
137#2509C2212yes—
138#2503C2212yes—
139#2502C2212yes—
140#2500C2212yes—
141#2497C2212yes—
142#2497C2212yes—
143#2496C2212yes—
144#2495C2212yes—
145#2495C2211yescharacteristic
146#2495C2212yes—
147#2495C2211yescharacteristic
148#2495C2212yes—
149#2494C2212yes—
150#2494C2212yes—
151#2494C2212yes—
152#2493C2214yes—
153#2493C2214yes—
154#2492C2212yes—
155#2490C2212yes—
156#2489C2212yes—
157#2485C2212yes—
158#2485C2212yes—
159#2485C2212yes—
160#2481C2214yes—
161#2479C2214yes—
162#2476C2214yes—
163#2476C2214yes—
164#2476C2214yes—
165#2476C2214yes—
166#2470C2214yes—
167#2469C2214yes—
168#2468C2214yes—
169#2467C2214yes—
170#2466C2214yes—
171#2459C2214yes—
172#2444C2214yes—
173#2438C2214yes—
174#2423C2212yes—
175#2423C2212yes—
176#2423C2212yes—
177#2423C2212yes—
178#2422C2212yes—
179#2421C2212yes—
180#2421C2212yes—
181#2421C2212yes—
182#2421C2212yes—
183#2420C2212yes—
184#2420C2212yes—
185#2420C2211yescharacteristic
186#2420C2211yescharacteristic
187#2420C2212yes—
188#2417C2212yes—
189#2416C2212yes—
190#2415C2212yes—
191#2409C2212yes—
192#2407C2212yes—
193#2402C2214yes—
194#2398C2212yes—
195#2398C2212yes—
196#2395C2214yes—
197#2373C2214yes—
198#2370C2212yes—
199#2370C2212yes—
200#2367C2212yes—
201#2367C2211yescharacteristic
202#2367C2212yes—
203#2367C2212yes—
204#2365C2211yescharacteristic
205#2364C2214yes—
206#2363C2212yes—
207#2363C2212yes—
208#2362C2212yes—
209#2362C2212yes—
210#2362C2211yescharacteristic
211#2362C2212yes—
212#2362C2212yes—
213#2362C2212yes—
214#2361C2211yescharacteristic
215#2361C2212yes—
216#2361C2212yes—
217#2360C2212yes—
218#2357C2214yes—
219#2356C2212yes—
220#2355C2212yes—
221#2355C2211yescharacteristic
222#2355C2212yes—
223#2355C2211yescharacteristic
224#2355C2211yescharacteristic
225#2355C2212yes—
226#2354C2212yes—
227#2354C2211yescharacteristic
228#2353C2214yes—
229#2352C2212yes—
230#2352C2211yescharacteristic
231#2352C2212yes—
232#2352C2212yes—
233#2352C2212yes—
234#2351C2211yescharacteristic
235Q8×C4⋊C4C2211yescharacteristic
236Q8×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2211yescharacteristic
239#2347C2212yes—
240#2347C2212yes—
241#2347C2212yes—
242#2346C2212yes—
243#2346C2214yes—
244#2345C2212yes—
245#2344C2212yes—
246#2344C2212yes—
247#2344C2214yes—
248#2343C2214yes—
249#2343C2214yes—
250#2341C2211yescharacteristic
251Q8×C22⋊C4C2211yescharacteristic
252Q8×C22⋊C4C2212yes—
253#2339C2212yes—
254#2335C2214yes—
255#2335C2214yes—
256#2320C2212yes—
257#2320C2212yes—
258#2320C2212yes—
259#2320C2214yes—
260#2319C2212yes—
261#2318C2214yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×#125C2212yes—
265C4×#126C2214yes—
266C4×#126C2214yes—
267C4×#126C2214yes—
268C4×#124C2211yescharacteristic
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281#2298C2214yes—
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic
284#2285C2212yes—
285#2283C2212yes—
286#2283C2211yescharacteristic
287#2283C2211yescharacteristic
288#2283C2212yes—
289#2283C2212yes—
290C2×#382C2212yes—
291#2276C2212yes—
292#2275C2212yes—
293C42×Q8C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#556—28no—
302#548—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305#529—216no—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#124C2312yes—
311C2×#124C2312yes—
312C2×#124C2311yescharacteristic
313C2×#123C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×#121C2312yes—
323C2×#121C2311yescharacteristic
324C2×#121C2312yes—
325C2×#121C2311yescharacteristic
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2311yescharacteristic
330C4×#41—28no—
331C2×C4×Q8—28no—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2314yes—
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2314yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C42C2312yes—
378C22×C42C2312yes—
379C22×C42C2312yes—
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382#401C2314yes—
383#401C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
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#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#395C2314yes—
438#395C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2312yes—
442#394C2312yes—
443#394C2314yes—
444#394C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2312yes—
452#394C2314yes—
453#393C2312yes—
454#393C2312yes—
455#393C2312yes—
456#393C2312yes—
457#393C2314yes—
458#393C2314yes—
459#392C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2314yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2314yes—
473#391C2314yes—
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#390C2311yescharacteristic
480#390C2311yescharacteristic
481#390C2312yes—
482#390C2311yescharacteristic
483#390C2312yes—
484#390C2311yescharacteristic
485#390C2314yes—
486#390C2314yes—
487#390C2312yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#388C2312yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2312yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#386C2312yes—
621#386C2312yes—
622#386C2312yes—
623#386C2314yes—
624#386C2312yes—
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2312yes—
635#386C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2312yes—
648#385C2314yes—
649#384C2311yescharacteristic
650#384C2311yescharacteristic
651#384C2312yes—
652#384C2312yes—
653#384C2312yes—
654#384C2312yes—
655#384C2311yescharacteristic
656#384C2311yescharacteristic
657#383C2312yes—
658#383C2312yes—
659#383C2314yes—
660#383C2312yes—
661#383C2314yes—
662#383C2312yes—
663#383C2314yes—
664#383C2314yes—
665#383C2314yes—
666#383C2314yes—
667#382C2312yes—
668#382C2311yescharacteristic
669#382C2312yes—
670#382C2311yescharacteristic
671#382C2312yes—
672#382C2312yes—
673#382C2311yescharacteristic
674#382C2312yes—
675#382C2312yes—
676#382C2312yes—
677#382C2311yescharacteristic
678#382C2311yescharacteristic
679#382C2314yes—
680#382C2314yes—
681#382C2312yes—
682#382C2314yes—
683#382C2312yes—
684#382C2314yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#381C2312yes—
689#381C2312yes—
690#381C2314yes—
691#381C2312yes—
692#381C2314yes—
693#381C2312yes—
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#380C2311yescharacteristic
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
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⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C43C2314yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—42no—
818C22×Q8—24no—
819C22×Q8—24no—
820C22×Q8—42no—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2414yes—
850C4⋊Q8—24no—
851C4⋊Q8—42no—
852#126—216no—
853#126—216no—
854#125—28no—
855#125—44no—
856#124—28no—
857#124—28no—
858#124#4118yes—
859#123—216no—
860C22⋊Q8—28no—
861C22⋊Q8—24no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—44no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868#121—28no—
869#121—24no—
870#121—28no—
871#121—44no—
872#121—48no—
873#121—42no—
874#121—42no—
875#121—44no—
876C4×Q8—24no—
877C4×Q8—24no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—28no—
881C4×Q8—24no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—42no—
890C4×Q8#4118yes—
891C4×D4—28no—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—216no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—44no—
901C4×D4—42no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—42no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—42no—
909#117—24no—
910#117—28no—
911#117—28no—
912#117—216no—
913#117—44no—
914#117—48no—
915#117—44no—
916#117—44no—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C42—24no—
1036C2×C42—28no—
1037C2×C42—24no—
1038C2×C42—28no—
1039C2×C42—28no—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2414yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2411yescharacteristic
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24C2512yes—
1161C24C2511yescharacteristic
1162C24C2512yes—
1163C24C2511yescharacteristic
1164#41—416no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—24no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8—416no—
1179C2×Q8C2×#4114yes—
1180C2×Q8C2×#4114yes—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—22no—
1184C2×D4—24no—
1185C2×D4—28no—
1186C2×D4—24no—
1187C2×D4—22no—
1188C2×D4—24no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—41no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—44no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—44no—
1203C2×D4—42no—
1204C2×D4C2×#4114yes—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—28no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—42no—
1237C22×C4—41no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2514yes—
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4C2×#4114yes—
1347C4⋊C4C2×#4118yes—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—24no—
1353C22⋊C4—22no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—22no—
1359C22⋊C4—28no—
1360C22⋊C4—22no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—42no—
1385C22⋊C4—41no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4C2×#4118yes—
1397C22⋊C4C2×#4118yes—
1398C42—22no—
1399C42—24no—
1400C42—22no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—22no—
1405C42—24no—
1406C42—24no—
1407C42—24no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—24no—
1412C42—28no—
1413C42—28no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—22no—
1418C42—24no—
1419C42—24no—
1420C42—22no—
1421C42—42no—
1422C42—41no—
1423C42—44no—
1424C42—44no—
1425C42—44no—
1426C42—44no—
1427C42—44no—
1428C42—44no—
1429C42—42no—
1430C42—41no—
1431C42—44no—
1432C42—44no—
1433C42—42no—
1434C42—44no—
1435C42C2×#4114yes—
1436C42C2×#4118yes—
1437C42C2×#4114yes—
1438C23—22no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—22no—
1444C23—22no—
1445C23—21no—
1446C23—22no—
1447C23—22no—
1448C23—21no—
1449C23—22no—
1450C23—22no—
1451C23—21no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—21no—
1456C23—22no—
1457C23—21no—
1458C23—22no—
1459C23—22no—
1460C23—21no—
1461C23—22no—
1462C23—21no—
1463C23—22no—
1464C23C22×#4114yes—
1465C23#58512yes—
1466C23C2611yescharacteristic
1467Q8—28no—
1468Q8—28no—
1469Q8—48no—
1470Q8—48no—
1471Q8—84no—
1472D4—28no—
1473D4—44no—
1474D4—48no—
1475D4—48no—
1476D4—44no—
1477D4—84no—
1478D4—88no—
1479D4—84no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—21no—
1508C2×C4—24no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—24no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—48no—
1562C2×C4—48no—
1563C2×C4—44no—
1564C2×C4—48no—
1565C2×C4—48no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—48no—
1570C2×C4—44no—
1571C2×C4—84no—
1572C2×C4—82no—
1573C2×C4—84no—
1574C2×C4—84no—
1575C2×C4—88no—
1576C2×C4—164no—
1577C2×C4C22×#4114yes—
1578C2×C4C22×#4112yes—
1579C2×C4C22×#4112yes—
1580C2×C4C22×#4114yes—
1581C2×C4C22×#4112yes—
1582C2×C4C22×#4114yes—
1583C2×C4C22×#4112yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4#58512yes—
1587C2×C4#58512yes—
1588C2×C4#58512yes—
1589C22—22no—
1590C22—24no—
1591C22—22no—
1592C22—22no—
1593C22—24no—
1594C22—24no—
1595C22—42no—
1596C22—41no—
1597C22—42no—
1598C22—42no—
1599C22—41no—
1600C22—41no—
1601C22—42no—
1602C22—41no—
1603C22—41no—
1604C22—42no—
1605C22—42no—
1606C22—41no—
1607C22—42no—
1608C22—41no—
1609C22—41no—
1610C22—42no—
1611C22—42no—
1612C22—41no—
1613C22—41no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22C23×#4111yescharacteristic
1618C22C23×#4111yescharacteristic
1619C22C2×#58511yescharacteristic
1620C22C2×#58511yescharacteristic
1621C22C2×#58511yescharacteristic
1622C22C2×#58511yescharacteristic
1623C222−1+611yescharacteristic
1624C4—24no—
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—24no—
1629C4—24no—
1630C4—41no—
1631C4—42no—
1632C4—41no—
1633C4—44no—
1634C4—42no—
1635C4—41no—
1636C4—44no—
1637C4—42no—
1638C4—42no—
1639C4—41no—
1640C4—41no—
1641C4—42no—
1642C4—44no—
1643C4—42no—
1644C4—42no—
1645C4—44no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—41no—
1650C4—42no—
1651C4—41no—
1652C4—41no—
1653C4#347514yes—
1654C4#352414yes—
1655C2—42no—
1656C2—44no—
1657C2—81no—
1658C2—82no—
1659C2C2×#347511yescharacteristic
1660C2C2×#352411yescharacteristic
1661C2#6281611yescharacteristic
1662C2#6293911yescharacteristic
1663C2#6299311yescharacteristic
1664C2#6300911yescharacteristic
1665C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59642C2semidirect
2. #59584C2semidirect
3. #59554C2semidirect
4. #59333C2semidirect
5. #59237C2semidirect
6. #59217C2semidirect
7. #59211C2semidirect
8. #59037C2semidirect
9. #45401C2semidirect
10. #45282C2semidirect
11. #44506C2semidirect
12. #43237C2semidirect
13. #39905C2semidirect
14. #39900C2semidirect
15. #38995C2semidirect
16. #38933C2semidirect
17. #38930C2semidirect
18. #38927C2semidirect
19. #36579C2semidirect
20. #36535C2semidirect
21. #36504C2semidirect
22. #36484C2semidirect
23. #36417C2semidirect
24. #36210C2semidirect
25. #36172C2semidirect
26. #36114C2semidirect
27. #36050C2semidirect
28. #35849C2semidirect
29. #34943C2semidirect
30. #34898C2semidirect
31. #34237C2semidirect
32. #34196C2semidirect
33. #34191C2semidirect
34. C4×#556C2semidirect
35. C4×#548C2semidirect

Maximal subgroups

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

subgroupindex
#596422
#595842
#595542
#593332
#592372
#592172
#592112
#590372
#454012
#452822
#445062
#432372
#399052
#399002
#389952
#389332
#389302
#389272
#365792
#365352
#365042
#364842
#364172
#362102
#361722
#361142
#360502
#358492
#349432
#348982
#342372
#341962
#341912
C4×#5562
C4×#5482