Finite Group Databasebeta

← #7679798

Subgroups — #7679798

Order 512.

4687 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#59854C212yesmaximal, complemented
2#59753C212yesmaximal, complemented
3#59405C212yesmaximal, complemented
4#59390C212yesmaximal, complemented
5#59299C212yesmaximal, complemented
6#59288C212yesmaximal, complemented
7#59221C212yesmaximal, complemented
8#59211C212yesmaximal, complemented
9#44405C214yesmaximal, complemented
10#44371C214yesmaximal, complemented
11#43614C214yesmaximal, complemented
12#43606C214yesmaximal, complemented
13#39299C212yesmaximal, complemented
14#39284C212yesmaximal, complemented
15#39203C211yesmaximal, characteristic, complemented
16#39197C212yesmaximal, complemented
17#39193C212yesmaximal, complemented
18#39191C211yesmaximal, characteristic, complemented
19#39136C211yesmaximal, characteristic, complemented
20#39126C211yesmaximal, characteristic, complemented
21#36534C211yesmaximal, characteristic, complemented
22#36459C211yesmaximal, characteristic, complemented
23#36449C211yesmaximal, characteristic, complemented
24#36447C211yesmaximal, characteristic, complemented
25#35657C212yesmaximal, complemented
26#35570C212yesmaximal, complemented
27#35291C211yesmaximal, characteristic, complemented
28#35269C212yesmaximal, complemented
29#34943C211yesmaximal, characteristic, complemented
30#34932C211yesmaximal, characteristic, complemented
31#34332C211yesmaximal, characteristic, complemented
32#34324C211yesmaximal, characteristic, complemented
33#34227C212yesmaximal, complemented
34#34151C211yesmaximal, characteristic, complemented
35C4×#540C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#540C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#529C2212yes—
41#2863C2212yes—
42#2862C2211yescharacteristic
43#2861C2212yes—
44#2860C2212yes—
45#2859C2211yescharacteristic
46#2859C2212yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2803C2214yes—
50#2798C2214yes—
51#2797C2214yes—
52#2793C2214yes—
53#2783C2214yes—
54#2779C2214yes—
55#2779C2214yes—
56#2779C2214yes—
57#2778C2214yes—
58#2776C2214yes—
59#2773C2214yes—
60#2771C2214yes—
61#2767C2214yes—
62#2757C2214yes—
63#2757C2214yes—
64#2754C2214yes—
65#2753C2214yes—
66#2753C2214yes—
67#2750C2214yes—
68#2727C2214yes—
69#2711C2214yes—
70#2705C2214yes—
71#2702C2214yes—
72#2681C2214yes—
73#2645C2212yes—
74#2629C2212yes—
75#2625C2212yes—
76#2625C2212yes—
77#2624C2212yes—
78#2620C2212yes—
79#2602C2214yes—
80#2597C2214yes—
81#2597C2214yes—
82#2594C2214yes—
83#2593C2214yes—
84#2591C2214yes—
85#2587C2214yes—
86#2578C2214yes—
87#2576C2214yes—
88#2572C2214yes—
89#2571C2212yes—
90#2571C2212yes—
91#2571C2211yescharacteristic
92#2570C2212yes—
93#2570C2214yes—
94#2565C2212yes—
95#2563C2211yescharacteristic
96#2563C2211yescharacteristic
97#2562C2212yes—
98#2560C2214yes—
99#2560C2214yes—
100#2560C2214yes—
101#2559C2214yes—
102#2559C2214yes—
103#2553C2214yes—
104#2553C2214yes—
105#2552C2211yescharacteristic
106#2552C2212yes—
107#2547C2211yescharacteristic
108#2544C2212yes—
109#2543C2214yes—
110#2542C2211yescharacteristic
111#2540C2212yes—
112#2538C2212yes—
113#2538C2212yes—
114#2537C2211yescharacteristic
115#2537C2211yescharacteristic
116#2537C2212yes—
117#2536C2212yes—
118#2536C2212yes—
119#2536C2212yes—
120#2533C2214yes—
121#2533C2214yes—
122#2532C2214yes—
123#2530C2214yes—
124#2529C2214yes—
125#2526C2214yes—
126#2525C2214yes—
127#2525C2214yes—
128#2525C2214yes—
129#2524C2214yes—
130#2522C2214yes—
131#2519C2214yes—
132#2518C2214yes—
133#2518C2214yes—
134#2516C2214yes—
135#2515C2214yes—
136#2515C2214yes—
137#2514C2212yes—
138#2513C2212yes—
139#2513C2214yes—
140#2513C2212yes—
141#2509C2212yes—
142#2508C2214yes—
143#2508C2212yes—
144#2508C2212yes—
145#2506C2214yes—
146#2506C2212yes—
147#2504C2214yes—
148#2500C2214yes—
149#2498C2214yes—
150#2497C2212yes—
151#2496C2212yes—
152#2496C2212yes—
153#2495C2212yes—
154#2495C2214yes—
155#2495C2212yes—
156#2495C2212yes—
157#2495C2212yes—
158#2495C2212yes—
159#2494C2212yes—
160#2490C2214yes—
161#2490C2212yes—
162#2489C2212yes—
163#2489C2212yes—
164#2489C2212yes—
165#2487C2212yes—
166#2485C2212yes—
167#2485C2212yes—
168#2485C2212yes—
169#2481C2214yes—
170#2466C2214yes—
171#2464C2214yes—
172#2460C2214yes—
173#2453C2212yes—
174#2442C2214yes—
175#2442C2212yes—
176#2441C2212yes—
177#2428C2212yes—
178#2427C2212yes—
179#2427C2212yes—
180#2426C2212yes—
181#2426C2212yes—
182#2422C2214yes—
183#2422C2212yes—
184#2421C2212yes—
185#2421C2212yes—
186#2421C2212yes—
187#2420C2212yes—
188#2420C2212yes—
189#2416C2212yes—
190#2416C2212yes—
191#2414C2212yes—
192#2414C2212yes—
193#2398C2214yes—
194#2395C2214yes—
195#2374C2214yes—
196#2374C2214yes—
197#2374C2212yes—
198#2374C2212yes—
199#2373C2214yes—
200#2373C2212yes—
201#2373C2214yes—
202#2373C2212yes—
203#2373C2214yes—
204#2370C2212yes—
205#2370C2211yescharacteristic
206#2370C2211yescharacteristic
207#2369C2211yescharacteristic
208#2367C2211yescharacteristic
209#2367C2212yes—
210#2367C2211yescharacteristic
211#2365C2211yescharacteristic
212#2363C2211yescharacteristic
213#2363C2211yescharacteristic
214#2362C2212yes—
215#2362C2211yescharacteristic
216#2362C2211yescharacteristic
217#2360C2212yes—
218#2360C2214yes—
219#2357C2214yes—
220#2355C2212yes—
221#2354C2211yescharacteristic
222#2354C2212yes—
223#2353C2214yes—
224#2352C2212yes—
225#2352C2212yes—
226#2352C2212yes—
227#2351C2212yes—
228Q8×C4⋊C4C2212yes—
229Q8×C4⋊C4C2211yescharacteristic
230Q8×C4⋊C4C2211yescharacteristic
231D4×C4⋊C4C2211yescharacteristic
232D4×C4⋊C4C2212yes—
233#2347C2214yes—
234#2347C2212yes—
235#2346C2212yes—
236#2345C2212yes—
237#2345C2212yes—
238#2343C2214yes—
239#2335C2212yes—
240#2335C2212yes—
241#2334C2214yes—
242#2333C2212yes—
243#2333C2212yes—
244#2330C2212yes—
245#2330C2211yescharacteristic
246#2329C2214yes—
247#2328C2211yescharacteristic
248#2326C2212yes—
249#2324C2212yes—
250#2324C2211yescharacteristic
251#2324C2211yescharacteristic
252#2324C2212yes—
253#2323C2212yes—
254#2323C2212yes—
255#2323C2212yes—
256#2320C2212yes—
257#2319C2211yescharacteristic
258#2319C2211yescharacteristic
259#2314C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×#127C2211yescharacteristic
263C4×#125C2212yes—
264C4×#125C2211yescharacteristic
265C4×#125C2212yes—
266C4×#124C2212yes—
267C4×#124C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×#123C2212yes—
272C4×#123C2212yes—
273C4×#121C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279C4×#121C2212yes—
280#2298C2212yes—
281#2296C2212yes—
282#2295C2211yescharacteristic
283#2293C2211yescharacteristic
284#2293C2212yes—
285C2×#389C2212yes—
286#2290C2212yes—
287#2285C2212yes—
288#2283C2212yes—
289#2283C2212yes—
290#2276C2212yes—
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299#556—28no—
300#554—28no—
301#540—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×#127C2311yescharacteristic
305#529—28no—
306#529—216no—
307C2×#126C2314yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2314yes—
316C2×#125C2312yes—
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#124C2312yes—
320C2×#123C2312yes—
321C2×#123C2312yes—
322C2×#123C2314yes—
323C2×#123C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×#121C2312yes—
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2314yes—
369C2×C4×D4C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2314yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2314yes—
382C22×C42C2311yescharacteristic
383C22×C42C2312yes—
384C22×C42C2312yes—
385C22×C42C2312yes—
386#401C2314yes—
387#400C2314yes—
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#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#393C2314yes—
455#393C2314yes—
456#392C2314yes—
457#392C2314yes—
458#391C2312yes—
459#391C2312yes—
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2311yescharacteristic
471#390C2312yes—
472#390C2312yes—
473#390C2314yes—
474#390C2311yescharacteristic
475#390C2311yescharacteristic
476#390C2312yes—
477#390C2312yes—
478#390C2311yescharacteristic
479#390C2311yescharacteristic
480#390C2312yes—
481#390C2312yes—
482#390C2314yes—
483#390C2314yes—
484#390C2312yes—
485#390C2314yes—
486#390C2314yes—
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2314yes—
493#389C2311yescharacteristic
494#389C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2311yescharacteristic
504#389C2314yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2314yes—
508#389C2312yes—
509#389C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#386C2312yes—
644#386C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#386C2312yes—
651#386C2312yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2314yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2314yes—
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#383C2314yes—
677#383C2314yes—
678#383C2314yes—
679#383C2314yes—
680#383C2314yes—
681#382C2312yes—
682#382C2311yescharacteristic
683#382C2312yes—
684#382C2312yes—
685#382C2314yes—
686#382C2312yes—
687#382C2314yes—
688#382C2314yes—
689#382C2312yes—
690#382C2312yes—
691#382C2314yes—
692#382C2314yes—
693#382C2312yes—
694#382C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2312yes—
698#381C2312yes—
699#380C2311yescharacteristic
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2311yescharacteristic
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2314yes—
722#380C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2311yescharacteristic
805#376C2312yes—
806#376C2311yescharacteristic
807#376C2314yes—
808#376C2314yes—
809#376C2312yes—
810C2×#95C2314yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2414yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844#127—24no—
845#126—28no—
846#126—216no—
847#126—216no—
848#126—84no—
849#125—24no—
850#125—28no—
851#125—24no—
852#125—28no—
853#125—84no—
854#125—82no—
855#124—24no—
856#124—28no—
857#124—28no—
858#123—28no—
859#123—28no—
860#123—216no—
861#123—28no—
862C22⋊Q8—24no—
863C22⋊Q8—28no—
864C22⋊Q8—28no—
865C22⋊Q8—28no—
866C22⋊Q8—216no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869C22⋊Q8—82no—
870#121—28no—
871#121—24no—
872#121—28no—
873#121—24no—
874#121—24no—
875#121—28no—
876#121—44no—
877#121—44no—
878#121—44no—
879#121—84no—
880#121—84no—
881C4×Q8—28no—
882C4×Q8—28no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—42no—
887C4×Q8—42no—
888C4×Q8—82no—
889C4×Q8#4118yes—
890C4×D4—216no—
891C4×D4—24no—
892C4×D4—28no—
893C4×D4—24no—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—42no—
898C4×D4—42no—
899C4×D4—42no—
900C4×D4—42no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—84no—
907C4×D4#4118yes—
908#117—216no—
909#117—28no—
910#117—28no—
911#117—24no—
912#117—42no—
913#117—44no—
914#117—42no—
915#117—42no—
916#117—44no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—44no—
919C2×C4⋊C4—84no—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C42—28no—
1042C2×C42—24no—
1043C2×C42—44no—
1044C2×C42—44no—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160C24C2512yes—
1161C24C2512yes—
1162C24C2511yescharacteristic
1163C24C2512yes—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—24no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8C2×#4114yes—
1173C2×D4—28no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4C2×#4114yes—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—28no—
1222C22×C4—24no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—44no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—44no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4C2×#4118yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2514yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2514yes—
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C4⋊C4—28no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—28no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4C2×#4114yes—
1340C4⋊C4C2×#4114yes—
1341C4⋊C4C2×#4118yes—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4C2×#4118yes—
1397C42—24no—
1398C42—22no—
1399C42—24no—
1400C42—22no—
1401C42—24no—
1402C42—22no—
1403C42—28no—
1404C42—28no—
1405C42—22no—
1406C42—22no—
1407C42—22no—
1408C42—24no—
1409C42—24no—
1410C42—22no—
1411C42—22no—
1412C42—24no—
1413C42—22no—
1414C42—22no—
1415C42—42no—
1416C42—42no—
1417C42—42no—
1418C42—42no—
1419C42—44no—
1420C42—41no—
1421C42—41no—
1422C42—42no—
1423C42—42no—
1424C42—44no—
1425C42—42no—
1426C42—42no—
1427C42—44no—
1428C42—44no—
1429C42—44no—
1430C42—42no—
1431C42—42no—
1432C42—44no—
1433C42—41no—
1434C42—41no—
1435C42—42no—
1436C42—42no—
1437C42C2×#4114yes—
1438C42C2×#4114yes—
1439C42C2×#4118yes—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—21no—
1450C23—22no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—21no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—21no—
1467C23C22×#4114yes—
1468C23C2611yescharacteristic
1469Q8—28no—
1470Q8—48no—
1471Q8—84no—
1472D4—28no—
1473D4—44no—
1474D4—44no—
1475D4—84no—
1476D4—84no—
1477D4—84no—
1478D4—84no—
1479D4—88no—
1480D4—84no—
1481D4—88no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—24no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—48no—
1564C2×C4—44no—
1565C2×C4—48no—
1566C2×C4—48no—
1567C2×C4—44no—
1568C2×C4—48no—
1569C2×C4—84no—
1570C2×C4—84no—
1571C2×C4—84no—
1572C2×C4—88no—
1573C2×C4—82no—
1574C2×C4—84no—
1575C2×C4—84no—
1576C2×C4—164no—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4114yes—
1579C2×C4C22×#4112yes—
1580C2×C4C22×#4112yes—
1581C2×C4C22×#4114yes—
1582C2×C4C22×#4114yes—
1583C2×C4C22×#4112yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4#58512yes—
1587C2×C4#58512yes—
1588C2×C4#58512yes—
1589C22—24no—
1590C22—24no—
1591C22—24no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—41no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—41no—
1602C22—42no—
1603C22—41no—
1604C22—42no—
1605C22—41no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22—41no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22C23×#4111yescharacteristic
1618C22C23×#4111yescharacteristic
1619C22C2×#58511yescharacteristic
1620C22C2×#58511yescharacteristic
1621C22C2×#58511yescharacteristic
1622C22H(7,𝔽2)11yescharacteristic
1623C222−1+611yescharacteristic
1624C4—22no—
1625C4—24no—
1626C4—22no—
1627C4—24no—
1628C4—24no—
1629C4—22no—
1630C4—42no—
1631C4—41no—
1632C4—42no—
1633C4—42no—
1634C4—44no—
1635C4—41no—
1636C4—41no—
1637C4—42no—
1638C4—42no—
1639C4—41no—
1640C4—44no—
1641C4—41no—
1642C4—42no—
1643C4—41no—
1644C4—42no—
1645C4—44no—
1646C4—41no—
1647C4—42no—
1648C4—42no—
1649C4—41no—
1650C4—41no—
1651C4—42no—
1652C4—44no—
1653C4#348014yes—
1654C4#351214yes—
1655C2—44no—
1656C2—82no—
1657C2—82no—
1658C2—81no—
1659C2C2×#348011yescharacteristic
1660C2C2×#351211yescharacteristic
1661C2#6285711yescharacteristic
1662C2#6293811yescharacteristic
1663C2#6293911yescharacteristic
1664C2#6299111yescharacteristic
1665C2#6299411yescharacteristic
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. #59854C2semidirect
2. #59753C2semidirect
3. #59405C2semidirect
4. #59390C2semidirect
5. #59299C2semidirect
6. #59288C2semidirect
7. #59221C2semidirect
8. #59211C2semidirect
9. #44405C2semidirect
10. #44371C2semidirect
11. #43614C2semidirect
12. #43606C2semidirect
13. #39299C2semidirect
14. #39284C2semidirect
15. #39203C2semidirect
16. #39197C2semidirect
17. #39193C2semidirect
18. #39191C2semidirect
19. #39136C2semidirect
20. #39126C2semidirect
21. #36534C2semidirect
22. #36459C2semidirect
23. #36449C2semidirect
24. #36447C2semidirect
25. #35657C2semidirect
26. #35570C2semidirect
27. #35291C2semidirect
28. #35269C2semidirect
29. #34943C2semidirect
30. #34932C2semidirect
31. #34332C2semidirect
32. #34324C2semidirect
33. #34227C2semidirect
34. #34151C2semidirect
35. C4×#540C2semidirect

Maximal subgroups

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

subgroupindex
#598542
#597532
#594052
#593902
#592992
#592882
#592212
#592112
#444052
#443712
#436142
#436062
#392992
#392842
#392032
#391972
#391932
#391912
#391362
#391262
#365342
#364592
#364492
#364472
#356572
#355702
#352912
#352692
#349432
#349322
#343322
#343242
#342272
#341512
C4×#5402