Finite Group Databasebeta

← #7690634

Subgroups — #7690634

Order 512.

4864 conjugacy classes of subgroups.

The subgroup lattice has 1689 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C211yesmaximal, characteristic, complemented
2#59643C212yesmaximal, complemented
3#59487C212yesmaximal, complemented
4#59354C214yesmaximal, complemented
5#59332C212yesmaximal, complemented
6#59242C211yesmaximal, characteristic, complemented
7#59232C212yesmaximal, complemented
8#59230C211yesmaximal, characteristic, complemented
9#45189C212yesmaximal, complemented
10#45094C212yesmaximal, complemented
11#43664C214yesmaximal, complemented
12#43661C214yesmaximal, complemented
13#39906C212yesmaximal, complemented
14#39905C212yesmaximal, complemented
15#39352C211yesmaximal, characteristic, complemented
16#39101C214yesmaximal, complemented
17#39071C212yesmaximal, complemented
18#38941C211yesmaximal, characteristic, complemented
19#36580C211yesmaximal, characteristic, complemented
20#36526C212yesmaximal, complemented
21#36497C211yesmaximal, characteristic, complemented
22#36493C211yesmaximal, characteristic, complemented
23#36299C211yesmaximal, characteristic, complemented
24#36211C211yesmaximal, characteristic, complemented
25#36173C212yesmaximal, complemented
26#36172C212yesmaximal, complemented
27#35970C212yesmaximal, complemented
28#35800C212yesmaximal, complemented
29#34943C212yesmaximal, complemented
30#34898C211yesmaximal, characteristic, complemented
31#34287C212yesmaximal, complemented
32#34191C211yesmaximal, characteristic, complemented
33#34187C211yesmaximal, characteristic, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#548C2211yescharacteristic
38C2×#540C2212yes—
39C2×C4×#41C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41#2864C2212yes—
42#2863C2212yes—
43#2859C2211yescharacteristic
44#2856C2211yescharacteristic
45#2856C2211yescharacteristic
46#2852C2214yes—
47#2850C2212yes—
48#2850C2212yes—
49#2797C2214yes—
50#2787C2214yes—
51#2784C2214yes—
52#2773C2214yes—
53#2773C2214yes—
54#2770C2214yes—
55#2759C2214yes—
56#2756C2214yes—
57#2754C2214yes—
58#2740C2214yes—
59#2738C2214yes—
60#2737C2214yes—
61#2737C2214yes—
62#2737C2214yes—
63#2710C2214yes—
64#2706C2214yes—
65#2699C2214yes—
66#2688C2214yes—
67#2687C2214yes—
68#2686C2214yes—
69#2671C2214yes—
70#2653C2214yes—
71#2648C2214yes—
72#2640C2212yes—
73#2624C2212yes—
74#2610C2214yes—
75#2607C2214yes—
76#2600C2214yes—
77#2597C2214yes—
78#2592C2212yes—
79#2582C2211yescharacteristic
80#2580C2212yes—
81#2578C2214yes—
82#2577C2212yes—
83#2576C2214yes—
84#2575C2212yes—
85#2575C2214yes—
86#2575C2214yes—
87#2574C2214yes—
88#2572C2214yes—
89#2572C2214yes—
90#2572C2214yes—
91#2571C2212yes—
92#2570C2211yescharacteristic
93#2570C2212yes—
94#2565C2211yescharacteristic
95#2563C2212yes—
96#2563C2212yes—
97#2563C2212yes—
98#2562C2211yescharacteristic
99#2557C2214yes—
100#2557C2214yes—
101#2552C2211yescharacteristic
102#2551C2211yescharacteristic
103#2550C2212yes—
104#2548C2211yescharacteristic
105#2544C2212yes—
106#2541C2211yescharacteristic
107#2540C2212yes—
108#2538C2211yescharacteristic
109#2537C2212yes—
110#2536C2211yescharacteristic
111#2535C2212yes—
112#2535C2212yes—
113#2532C2214yes—
114#2531C2214yes—
115#2531C2214yes—
116#2530C2214yes—
117#2529C2214yes—
118#2529C2214yes—
119#2524C2212yes—
120#2524C2214yes—
121#2523C2214yes—
122#2520C2214yes—
123#2518C2214yes—
124#2518C2214yes—
125#2517C2214yes—
126#2516C2214yes—
127#2515C2214yes—
128#2515C2214yes—
129#2514C2212yes—
130#2514C2212yes—
131#2513C2212yes—
132#2513C2212yes—
133#2513C2212yes—
134#2513C2212yes—
135#2510C2214yes—
136#2509C2212yes—
137#2508C2212yes—
138#2504C2212yes—
139#2501C2212yes—
140#2499C2212yes—
141#2498C2214yes—
142#2496C2211yescharacteristic
143#2495C2211yescharacteristic
144#2495C2212yes—
145#2495C2214yes—
146#2495C2212yes—
147#2492C2212yes—
148#2491C2212yes—
149#2491C2212yes—
150#2490C2212yes—
151#2490C2212yes—
152#2490C2212yes—
153#2489C2212yes—
154#2488C2214yes—
155#2475C2214yes—
156#2471C2214yes—
157#2468C2212yes—
158#2467C2214yes—
159#2462C2214yes—
160#2459C2214yes—
161#2458C2214yes—
162#2458C2214yes—
163#2456C2214yes—
164#2454C2212yes—
165#2453C2212yes—
166#2451C2212yes—
167#2448C2212yes—
168#2448C2212yes—
169#2448C2214yes—
170#2447C2212yes—
171#2447C2212yes—
172#2445C2212yes—
173#2444C2214yes—
174#2443C2214yes—
175#2439C2212yes—
176#2436C2212yes—
177#2431C2212yes—
178#2427C2212yes—
179#2423C2211yescharacteristic
180#2422C2212yes—
181#2421C2211yescharacteristic
182#2421C2212yes—
183#2420C2212yes—
184#2420C2214yes—
185#2420C2212yes—
186#2420C2212yes—
187#2420C2212yes—
188#2419C2214yes—
189#2417C2212yes—
190#2416C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2402C2212yes—
194#2398C2214yes—
195#2398C2214yes—
196#2395C2212yes—
197#2374C2214yes—
198#2374C2214yes—
199#2370C2212yes—
200#2370C2212yes—
201#2367C2212yes—
202#2367C2212yes—
203#2367C2211yescharacteristic
204#2367C2212yes—
205#2367C2212yes—
206#2366C2211yescharacteristic
207#2366C2212yes—
208#2366C2212yes—
209#2365C2212yes—
210#2364C2214yes—
211#2363C2212yes—
212#2363C2212yes—
213#2363C2214yes—
214#2363C2212yes—
215#2363C2212yes—
216#2362C2211yescharacteristic
217#2362C2212yes—
218#2361C2212yes—
219#2361C2212yes—
220#2361C2211yescharacteristic
221#2361C2212yes—
222#2360C2212yes—
223#2359C2214yes—
224#2357C2212yes—
225#2357C2212yes—
226#2357C2212yes—
227#2356C2212yes—
228#2356C2212yes—
229#2356C2214yes—
230#2355C2211yescharacteristic
231#2355C2211yescharacteristic
232#2355C2211yescharacteristic
233#2355C2211yescharacteristic
234#2355C2211yescharacteristic
235#2355C2212yes—
236#2355C2212yes—
237#2355C2211yescharacteristic
238#2353C2214yes—
239#2352C2212yes—
240#2352C2212yes—
241#2352C2211yescharacteristic
242#2352C2212yes—
243#2351C2211yescharacteristic
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2211yescharacteristic
246#2347C2212yes—
247#2346C2212yes—
248#2345C2212yes—
249#2344C2212yes—
250#2343C2214yes—
251#2341C2211yescharacteristic
252Q8×C22⋊C4C2211yescharacteristic
253#2339C2212yes—
254#2335C2214yes—
255#2333C2214yes—
256#2320C2212yes—
257#2319C2212yes—
258#2318C2214yes—
259#2313C2214yes—
260#2310C2212yes—
261C4×C4⋊Q8C2212yes—
262C4×#127C2211yescharacteristic
263C4×#125C2211yescharacteristic
264C4×#126C2212yes—
265C4×#124C2212yes—
266C4×#124C2212yes—
267C4×#124C2212yes—
268C4×#124C2211yescharacteristic
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2212yes—
273C4×#123C2214yes—
274C4×#123C2214yes—
275C4×#121C2211yescharacteristic
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2212yes—
279C4×#121C2214yes—
280#2298C2212yes—
281#2293C2212yes—
282#2285C2211yescharacteristic
283#2285C2211yescharacteristic
284#2285C2211yescharacteristic
285#2283C2211yescharacteristic
286#2283C2212yes—
287#2283C2214yes—
288#2283C2212yes—
289#2283C2212yes—
290C2×#382C2212yes—
291#2275C2212yes—
292#2274C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C42×D4C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#559—28no—
302#548—28no—
303#540—216no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×#127C2311yescharacteristic
307C2×#127C2312yes—
308C2×#126C2312yes—
309C2×#125C2312yes—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#124C2312yes—
313C2×#124C2312yes—
314C2×#124C2311yescharacteristic
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2311yescharacteristic
339C4×#41—28no—
340C2×C4×Q8—28no—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2314yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C42C2312yes—
387C22×C42C2312yes—
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2314yes—
391#401C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2312yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#399C2314yes—
408#399C2314yes—
409#398C2312yes—
410#398C2312yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#395C2314yes—
443#395C2314yes—
444#394C2312yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#391C2314yes—
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2314yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2311yescharacteristic
492#390C2312yes—
493#390C2312yes—
494#390C2314yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2314yes—
502#390C2314yes—
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2314yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2314yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
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#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2314yes—
561#388C2312yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
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#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2312yes—
654#385C2314yes—
655#385C2312yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#384C2311yescharacteristic
663#384C2312yes—
664#384C2311yescharacteristic
665#384C2311yescharacteristic
666#384C2311yescharacteristic
667#384C2311yescharacteristic
668#383C2312yes—
669#383C2314yes—
670#383C2314yes—
671#383C2314yes—
672#383C2314yes—
673#383C2314yes—
674#383C2312yes—
675#383C2314yes—
676#382C2311yescharacteristic
677#382C2311yescharacteristic
678#382C2314yes—
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2314yes—
686#382C2312yes—
687#382C2314yes—
688#382C2312yes—
689#382C2314yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2311yescharacteristic
694#382C2312yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2314yes—
701#381C2314yes—
702#381C2312yes—
703#381C2314yes—
704#380C2311yescharacteristic
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2314yes—
726#380C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C22⋊C4C2311yescharacteristic
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—42no—
818C22×Q8—24no—
819C22×Q8—24no—
820C22×Q8—42no—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2414yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2414yes—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855#127—28no—
856#127—24no—
857#126—44no—
858#125—28no—
859#125—42no—
860#125—82no—
861#124—28no—
862#124—24no—
863#124—28no—
864#124—28no—
865#124—44no—
866#124—84no—
867#123—216no—
868#123—216no—
869#123—216no—
870#123—84no—
871C22⋊Q8—24no—
872C22⋊Q8—28no—
873C22⋊Q8—42no—
874C22⋊Q8—42no—
875C22⋊Q8—44no—
876#121—216no—
877#121—216no—
878#121—28no—
879#121—28no—
880#121—44no—
881#121—44no—
882#121—44no—
883#121—44no—
884#121—44no—
885#121—82no—
886#121—82no—
887#121#4118yes—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—24no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—28no—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—42no—
897C4×Q8—42no—
898C4×Q8—42no—
899C4×Q8—84no—
900C4×Q8#4118yes—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—44no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—42no—
920C4×D4—48no—
921C4×D4—84no—
922C4×D4—84no—
923#117—28no—
924#117—24no—
925#117—28no—
926#117—44no—
927#117—44no—
928#117—84no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—28no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4—44no—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C42—28no—
1049C2×C42—24no—
1050C2×C42—28no—
1051C2×C42—24no—
1052C2×C42—48no—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2412yes—
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2411yescharacteristic
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169C24C2511yescharacteristic
1170C24C2514yes—
1171C24C2512yes—
1172C24C2511yescharacteristic
1173#41—416no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—42no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—416no—
1189C2×Q8C2×#4114yes—
1190C2×D4—22no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—28no—
1194C2×D4—28no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4C2×#4114yes—
1222C2×D4C2×#4118yes—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—28no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—28no—
1247C22×C4—28no—
1248C22×C4—28no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—42no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—42no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4C2×#4114yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—28no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4C2×#4114yes—
1361C4⋊C4C2×#4118yes—
1362C4⋊C4C2×#4114yes—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—22no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4C2×#4118yes—
1417C42—22no—
1418C42—24no—
1419C42—22no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—24no—
1425C42—22no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—22no—
1440C42—24no—
1441C42—44no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—42no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42—41no—
1455C42C2×#4118yes—
1456C42C2×#4114yes—
1457C23—22no—
1458C23—21no—
1459C23—21no—
1460C23—22no—
1461C23—21no—
1462C23—21no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—21no—
1469C23—24no—
1470C23—21no—
1471C23—21no—
1472C23—24no—
1473C23—21no—
1474C23—21no—
1475C23—24no—
1476C23—24no—
1477C23—24no—
1478C23—24no—
1479C23—21no—
1480C23—21no—
1481C23—24no—
1482C23—21no—
1483C23C22×#4112yes—
1484C23C22×#4114yes—
1485C23C2611yescharacteristic
1486Q8—28no—
1487Q8—48no—
1488Q8—44no—
1489Q8—44no—
1490Q8—88no—
1491D4—28no—
1492D4—48no—
1493D4—48no—
1494D4—44no—
1495D4—48no—
1496D4—48no—
1497D4—84no—
1498D4—88no—
1499D4—88no—
1500D4—88no—
1501D4—164no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—28no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—48no—
1585C2×C4—48no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—48no—
1589C2×C4—44no—
1590C2×C4—84no—
1591C2×C4—88no—
1592C2×C4—84no—
1593C2×C4—82no—
1594C2×C4—82no—
1595C2×C4—88no—
1596C2×C4—88no—
1597C2×C4—88no—
1598C2×C4—164no—
1599C2×C4C22×#4114yes—
1600C2×C4C22×#4114yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4114yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4112yes—
1607C2×C4#58512yes—
1608C2×C4#58512yes—
1609C2×C4#58512yes—
1610C2×C4#58512yes—
1611C22—24no—
1612C22—22no—
1613C22—22no—
1614C22—24no—
1615C22—22no—
1616C22—24no—
1617C22—41no—
1618C22—42no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—41no—
1624C22—42no—
1625C22—44no—
1626C22—41no—
1627C22—44no—
1628C22—41no—
1629C22—44no—
1630C22—41no—
1631C22—44no—
1632C22—41no—
1633C22—41no—
1634C22—44no—
1635C22—41no—
1636C22—44no—
1637C22—41no—
1638C22—44no—
1639C22C23×#4111yescharacteristic
1640C22C23×#4111yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22C2×#58511yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22H(7,𝔽2)11yescharacteristic
1646C4—24no—
1647C4—22no—
1648C4—22no—
1649C4—24no—
1650C4—22no—
1651C4—24no—
1652C4—42no—
1653C4—41no—
1654C4—42no—
1655C4—41no—
1656C4—41no—
1657C4—42no—
1658C4—44no—
1659C4—42no—
1660C4—44no—
1661C4—42no—
1662C4—42no—
1663C4—41no—
1664C4—42no—
1665C4—41no—
1666C4—41no—
1667C4—42no—
1668C4—42no—
1669C4—41no—
1670C4—42no—
1671C4—41no—
1672C4—44no—
1673C4—42no—
1674C4—42no—
1675C4#347514yes—
1676C4#352414yes—
1677C2—44no—
1678C2—42no—
1679C2—84no—
1680C2—81no—
1681C2C2×#347511yescharacteristic
1682C2#6278111yescharacteristic
1683C2C2×#352411yescharacteristic
1684C2#6296911yescharacteristic
1685C2#6299411yescharacteristic
1686C2#6301011yescharacteristic
1687C2#6303011yescharacteristic
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. #59647C2semidirect
2. #59643C2semidirect
3. #59487C2semidirect
4. #59354C2semidirect
5. #59332C2semidirect
6. #59242C2semidirect
7. #59232C2semidirect
8. #59230C2semidirect
9. #45189C2semidirect
10. #45094C2semidirect
11. #43664C2semidirect
12. #43661C2semidirect
13. #39906C2semidirect
14. #39905C2semidirect
15. #39352C2semidirect
16. #39101C2semidirect
17. #39071C2semidirect
18. #38941C2semidirect
19. #36580C2semidirect
20. #36526C2semidirect
21. #36497C2semidirect
22. #36493C2semidirect
23. #36299C2semidirect
24. #36211C2semidirect
25. #36173C2semidirect
26. #36172C2semidirect
27. #35970C2semidirect
28. #35800C2semidirect
29. #34943C2semidirect
30. #34898C2semidirect
31. #34287C2semidirect
32. #34191C2semidirect
33. #34187C2semidirect
34. C4×#559C2semidirect
35. C4×#548C2semidirect

Maximal subgroups

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

subgroupindex
#596472
#596432
#594872
#593542
#593322
#592422
#592322
#592302
#451892
#450942
#436642
#436612
#399062
#399052
#393522
#391012
#390712
#389412
#365802
#365262
#364972
#364932
#362992
#362112
#361732
#361722
#359702
#358002
#349432
#348982
#342872
#341912
#341872
C4×#5592
C4×#5482