Finite Group Databasebeta

← #7699960

Subgroups — #7699960

Order 512.

5027 conjugacy classes of subgroups.

The subgroup lattice has 1661 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59901C214yesmaximal, complemented
2#59727C214yesmaximal, complemented
3#59722C214yesmaximal, complemented
4#59659C211yesmaximal, characteristic, complemented
5#59655C211yesmaximal, characteristic, complemented
6#59652C211yesmaximal, characteristic
7#59505C212yesmaximal, complemented
8#59497C212yesmaximal, complemented
9#59431C212yesmaximal, complemented
10#59405C212yesmaximal, complemented
11#59395C212yesmaximal, complemented
12#59072C212yesmaximal, complemented
13#36590C211yesmaximal, characteristic, complemented
14#36589C212yesmaximal, complemented
15#36574C211yesmaximal, characteristic, complemented
16#36513C214yesmaximal, complemented
17#36503C212yesmaximal, complemented
18#36499C212yesmaximal, complemented
19#36478C212yesmaximal, complemented
20#36477C211yesmaximal, characteristic, complemented
21#36464C211yesmaximal, characteristic, complemented
22#36462C212yesmaximal, complemented
23#36409C212yesmaximal, complemented
24#36312C211yesmaximal, characteristic, complemented
25#36270C211yesmaximal, characteristic, complemented
26#36268C212yesmaximal, complemented
27#36257C212yesmaximal, complemented
28#36114C211yesmaximal, characteristic, complemented
29C4×Q82C211yesmaximal, characteristic, complemented
30C4×#559C211yesmaximal, characteristic, complemented
31C4×#554C211yesmaximal, characteristic, complemented
32C4×#556C211yesmaximal, characteristic, complemented
33C4×#555C211yesmaximal, characteristic, complemented
34C4×#552C212yesmaximal, complemented
35#34151C212yesmaximal, complemented
36C2×#559C2211yescharacteristic
37C2×Q82C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#555C2211yescharacteristic
40C2×#554C2211yescharacteristic
41C2×#552C2212yes—
42C2×#529C2212yes—
43#2863C2214yes—
44#2861C2212yes—
45#2860C2212yes—
46#2860C2212yes—
47#2860C2214yes—
48#2859C2211yescharacteristic
49#2859C2211yescharacteristic
50#2859C2211yescharacteristic
51#2855C2212yes—
52#2854C2212yes—
53#2851C2212yes—
54#2850C2214yes—
55#2793C2214yes—
56#2779C2214yes—
57#2767C2214yes—
58#2765C2214yes—
59#2731C2214yes—
60#2730C2214yes—
61#2729C2214yes—
62#2718C2214yes—
63#2715C2214yes—
64#2608C2214yes—
65#2606C2214yes—
66#2605C2214yes—
67#2601C2214yes—
68#2601C2214yes—
69#2601C2214yes—
70#2597C2214yes—
71#2596C2214yes—
72#2596C2214yes—
73#2594C2214yes—
74#2594C2214yes—
75#2593C2214yes—
76#2589C2214yes—
77#2587C2214yes—
78#2587C2214yes—
79#2584C2212yes—
80#2584C2212yes—
81#2582C2211yescharacteristic
82#2581C2212yes—
83#2574C2214yes—
84#2573C2214yes—
85#2572C2214yes—
86#2570C2214yes—
87#2570C2212yes—
88#2566C2212yes—
89#2562C2212yes—
90#2560C2214yes—
91#2559C2214yes—
92#2558C2214yes—
93#2558C2214yes—
94#2556C2214yes—
95#2554C2214yes—
96#2550C2212yes—
97#2545C2214yes—
98#2540C2212yes—
99#2538C2211yescharacteristic
100#2538C2211yescharacteristic
101#2538C2211yescharacteristic
102#2538C2211yescharacteristic
103#2537C2211yescharacteristic
104#2536C2212yes—
105#2533C2214yes—
106#2529C2214yes—
107#2529C2214yes—
108#2527C2214yes—
109#2527C2214yes—
110#2525C2214yes—
111#2525C2214yes—
112#2519C2214yes—
113#2519C2214yes—
114#2518C2214yes—
115#2518C2214yes—
116#2516C2214yes—
117#2514C2212yes—
118#2513C2212yes—
119#2509C2212yes—
120#2509C2212yes—
121#2508C2212yes—
122#2508C2212yes—
123#2508C2212yes—
124#2506C2212yes—
125#2497C2212yes—
126#2497C2212yes—
127#2496C2212yes—
128#2496C2212yes—
129#2495C2212yes—
130#2494C2212yes—
131#2492C2212yes—
132#2491C2212yes—
133#2491C2212yes—
134#2490C2212yes—
135#2488C2214yes—
136#2474C2214yes—
137#2470C2214yes—
138#2470C2214yes—
139#2469C2214yes—
140#2466C2214yes—
141#2466C2214yes—
142#2461C2214yes—
143#2459C2214yes—
144#2458C2214yes—
145#2455C2214yes—
146#2453C2212yes—
147#2453C2212yes—
148#2453C2212yes—
149#2452C2212yes—
150#2448C2212yes—
151#2445C2212yes—
152#2441C2212yes—
153#2440C2212yes—
154#2439C2212yes—
155#2439C2212yes—
156#2429C2212yes—
157#2429C2212yes—
158#2429C2214yes—
159#2428C2212yes—
160#2426C2214yes—
161#2426C2212yes—
162#2426C2212yes—
163#2426C2212yes—
164#2425C2214yes—
165#2423C2212yes—
166#2422C2212yes—
167#2422C2214yes—
168#2422C2212yes—
169#2421C2212yes—
170#2421C2214yes—
171#2421C2212yes—
172#2420C2212yes—
173#2416C2212yes—
174#2415C2212yes—
175#2374C2214yes—
176#2374C2214yes—
177#2374C2212yes—
178#2374C2212yes—
179#2373C2214yes—
180#2373C2214yes—
181#2373C2212yes—
182#2373C2214yes—
183#2373C2212yes—
184#2372C2214yes—
185#2371C2214yes—
186#2370C2212yes—
187#2370C2212yes—
188#2370C2212yes—
189#2370C2212yes—
190#2369C2212yes—
191#2369C2214yes—
192#2369C2212yes—
193#2369C2211yescharacteristic
194#2368C2214yes—
195#2367C2212yes—
196#2367C2211yescharacteristic
197#2367C2212yes—
198#2367C2211yescharacteristic
199#2367C2211yescharacteristic
200#2367C2211yescharacteristic
201#2367C2214yes—
202#2366C2211yescharacteristic
203#2365C2211yescharacteristic
204#2363C2212yes—
205#2363C2212yes—
206#2363C2212yes—
207#2363C2212yes—
208#2362C2212yes—
209#2362C2212yes—
210#2362C2212yes—
211#2362C2212yes—
212#2362C2212yes—
213#2361C2212yes—
214#2360C2212yes—
215#2360C2212yes—
216#2359C2214yes—
217#2357C2212yes—
218#2357C2211yescharacteristic
219#2357C2212yes—
220#2357C2211yescharacteristic
221#2356C2211yescharacteristic
222#2356C2211yescharacteristic
223#2355C2211yescharacteristic
224#2355C2211yescharacteristic
225#2355C2211yescharacteristic
226#2355C2211yescharacteristic
227#2354C2211yescharacteristic
228#2354C2211yescharacteristic
229#2354C2211yescharacteristic
230#2352C2212yes—
231#2352C2212yes—
232#2351C2212yes—
233Q8×C4⋊C4C2212yes—
234Q8×C4⋊C4C2211yescharacteristic
235Q8×C4⋊C4C2211yescharacteristic
236Q8×C4⋊C4C2212yes—
237#2349C2212yes—
238D4×C4⋊C4C2211yescharacteristic
239#2347C2212yes—
240#2347C2212yes—
241#2347C2212yes—
242#2346C2212yes—
243#2346C2212yes—
244#2346C2212yes—
245#2345C2212yes—
246#2344C2212yes—
247#2343C2214yes—
248C4×C4⋊Q8C2211yescharacteristic
249C4×C4⋊Q8C2211yescharacteristic
250C4×C4⋊Q8C2211yescharacteristic
251C4×C4⋊Q8C2211yescharacteristic
252C4×C4⋊Q8C2212yes—
253C4×C4⋊Q8C2212yes—
254C4×C4⋊Q8C2214yes—
255C4×#127C2211yescharacteristic
256C4×#125C2212yes—
257C4×#125C2214yes—
258C4×#125C2212yes—
259C4×#126C2212yes—
260C4×#126C2212yes—
261C4×#126C2214yes—
262C4×#124C2211yescharacteristic
263C4×#124C2211yescharacteristic
264C4×#124C2211yescharacteristic
265C4×#124C2211yescharacteristic
266C4×#124C2212yes—
267C4×#124C2214yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2214yes—
272C4×C22⋊Q8C2212yes—
273C4×#123C2212yes—
274C4×#123C2212yes—
275C4×#123C2214yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278#2298C2214yes—
279#2295C2212yes—
280#2293C2212yes—
281#2293C2214yes—
282#2290C2214yes—
283C42×Q8C2212yes—
284C42×Q8C2212yes—
285C42×Q8C2211yescharacteristic
286C42×Q8C2211yescharacteristic
287C42×Q8C2211yescharacteristic
288C42×Q8C2211yescharacteristic
289C42×D4C2211yescharacteristic
290C42×D4C2212yes—
291C42×D4C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2211yescharacteristic
294C4×#117C2212yes—
295C4×#117C2214yes—
296C4×#117C2212yes—
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2212yes—
299#559—28no—
300Q82—28no—
301#556—28no—
302#555—28no—
303#554—28no—
304#552—216no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2314yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311#529—216no—
312C2×#126C2314yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2311yescharacteristic
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2314yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2314yes—
384C2×#117C2314yes—
385C2×#117C2314yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C42C2312yes—
395C22×C42C2314yes—
396C22×C42C2312yes—
397C22×C42C2312yes—
398#401C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#399C2314yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#395C2314yes—
438#395C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#392C2314yes—
452#391C2314yes—
453#391C2314yes—
454#391C2312yes—
455#391C2312yes—
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2312yes—
459#391C2314yes—
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2314yes—
468#391C2311yescharacteristic
469#391C2311yescharacteristic
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#390C2312yes—
473#390C2312yes—
474#390C2311yescharacteristic
475#390C2311yescharacteristic
476#390C2312yes—
477#390C2312yes—
478#390C2312yes—
479#390C2314yes—
480#390C2314yes—
481#390C2311yescharacteristic
482#390C2312yes—
483#390C2314yes—
484#390C2314yes—
485#390C2312yes—
486#390C2311yescharacteristic
487#390C2312yes—
488#390C2311yescharacteristic
489#390C2311yescharacteristic
490#390C2312yes—
491#390C2314yes—
492#389C2312yes—
493#389C2312yes—
494#389C2314yes—
495#389C2314yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2312yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#388C2312yes—
540#388C2314yes—
541#388C2312yes—
542#388C2312yes—
543#388C2314yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2312yes—
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#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#384C2311yescharacteristic
662#384C2312yes—
663#384C2314yes—
664#384C2311yescharacteristic
665#384C2311yescharacteristic
666#384C2311yescharacteristic
667#384C2312yes—
668#384C2311yescharacteristic
669#383C2312yes—
670#383C2312yes—
671#383C2314yes—
672#383C2314yes—
673#382C2311yescharacteristic
674#382C2312yes—
675#382C2314yes—
676#382C2314yes—
677#382C2314yes—
678#382C2312yes—
679#382C2312yes—
680#382C2311yescharacteristic
681#382C2312yes—
682#382C2311yescharacteristic
683#382C2311yescharacteristic
684#382C2312yes—
685#381C2314yes—
686#381C2314yes—
687#381C2312yes—
688#381C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2314yes—
698#380C2312yes—
699#380C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2311yescharacteristic
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2312yes—
807#376C2312yes—
808C2×#95C2314yes—
809C43C2312yes—
810C43C2314yes—
811C43C2312yes—
812C43C2312yes—
813C43C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2414yes—
828C22×D4C2414yes—
829C22×D4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C4⋊Q8—24no—
842C4⋊Q8—216no—
843C4⋊Q8—28no—
844C4⋊Q8—28no—
845C4⋊Q8#4118yes—
846#127—24no—
847#126—28no—
848#126—216no—
849#126—216no—
850#126—28no—
851#126—84no—
852#125—216no—
853#125—28no—
854#125—28no—
855#125—28no—
856#125—82no—
857#124—216no—
858#124—24no—
859#124—24no—
860#124—28no—
861#124—24no—
862#124—48no—
863#124#4118yes—
864#123—216no—
865#123—216no—
866#123—28no—
867#123—28no—
868#123—84no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—216no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—44no—
876C22⋊Q8—84no—
877#121—28no—
878#121—28no—
879#121—28no—
880#121—44no—
881#121—84no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—24no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—44no—
894C4×Q8—42no—
895C4×Q8—42no—
896C4×Q8—44no—
897C4×Q8—42no—
898C4×Q8—82no—
899C4×Q8—84no—
900C4×Q8—82no—
901C4×Q8#4118yes—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—216no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—42no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—84no—
919#117—28no—
920#117—28no—
921#117—28no—
922#117—28no—
923#117—216no—
924#117—216no—
925#117—28no—
926#117—44no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C42—28no—
1046C2×C42—48no—
1047C2×C42—44no—
1048C2×C42—44no—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2411yescharacteristic
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2411yescharacteristic
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24C2512yes—
1173C24C2512yes—
1174C24C2512yes—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—28no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—42no—
1186C2×Q8—41no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8C2×#4114yes—
1191C2×Q8C2×#4114yes—
1192C2×Q8C2×#4118yes—
1193C2×D4—24no—
1194C2×D4—28no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—28no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4C2×#4114yes—
1214C22×C4—28no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—28no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—28no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—42no—
1235C22×C4—44no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2514yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2514yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2514yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C4⋊C4—22no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—28no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—28no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—41no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4C2×#4114yes—
1344C4⋊C4C2×#4118yes—
1345C4⋊C4C2×#4118yes—
1346C4⋊C4C2×#4118yes—
1347C4⋊C42−1+414yes—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4C2×#4118yes—
1394C22⋊C4C2×#4118yes—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—28no—
1399C42—28no—
1400C42—28no—
1401C42—24no—
1402C42—24no—
1403C42—22no—
1404C42—24no—
1405C42—22no—
1406C42—22no—
1407C42—22no—
1408C42—28no—
1409C42—24no—
1410C42—24no—
1411C42—28no—
1412C42—22no—
1413C42—22no—
1414C42—24no—
1415C42—22no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—28no—
1421C42—22no—
1422C42—22no—
1423C42—42no—
1424C42—42no—
1425C42—42no—
1426C42—44no—
1427C42—44no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—44no—
1432C42—44no—
1433C42—42no—
1434C42—41no—
1435C42—41no—
1436C42—42no—
1437C42—41no—
1438C42—44no—
1439C42—42no—
1440C42—42no—
1441C42—41no—
1442C42—41no—
1443C42—42no—
1444C42C2×#4114yes—
1445C42C2×#4118yes—
1446C42C2×#4114yes—
1447C42C2×#4114yes—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23C22×#4114yes—
1469C23C2611yescharacteristic
1470Q8—28no—
1471Q8—28no—
1472Q8—48no—
1473Q8—44no—
1474Q8—44no—
1475Q8—88no—
1476D4—28no—
1477D4—48no—
1478D4—44no—
1479D4—44no—
1480D4—88no—
1481D4—88no—
1482D4—84no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—24no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—48no—
1563C2×C4—48no—
1564C2×C4—416no—
1565C2×C4—48no—
1566C2×C4—48no—
1567C2×C4—48no—
1568C2×C4—88no—
1569C2×C4—84no—
1570C2×C4—84no—
1571C2×C4—84no—
1572C2×C4—84no—
1573C2×C4C22×#4114yes—
1574C2×C4C22×#4114yes—
1575C2×C4C22×#4112yes—
1576C2×C4C22×#4112yes—
1577C2×C4C22×#4118yes—
1578C2×C4C22×#4112yes—
1579C2×C4C22×#4114yes—
1580C2×C4C22×#4112yes—
1581C2×C4C22×#4112yes—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4112yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4C2×2−1+414yes—
1587C2×C4C2×2−1+412yes—
1588C2×C4#58512yes—
1589C2×C4#58512yes—
1590C22—24no—
1591C22—24no—
1592C22—24no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22C23×#4111yescharacteristic
1612C22C23×#4111yescharacteristic
1613C22C23×#4111yescharacteristic
1614C22C22×2−1+411yescharacteristic
1615C22C2×#58511yescharacteristic
1616C22C2×#58511yescharacteristic
1617C22H(7,𝔽2)11yescharacteristic
1618C4—28no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—24no—
1624C4—24no—
1625C4—24no—
1626C4—24no—
1627C4—22no—
1628C4—22no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—41no—
1635C4—44no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—44no—
1640C4—41no—
1641C4—41no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—44no—
1647C4—41no—
1648C4#348014yes—
1649C4#348214yes—
1650C2—44no—
1651C2—82no—
1652C2—82no—
1653C2C2×#348011yescharacteristic
1654C2C2×#348211yescharacteristic
1655C2#41211yescharacteristic
1656C2#6299211yescharacteristic
1657C2#6299411yescharacteristic
1658C2#6299911yescharacteristic
1659C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59652C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59901C2semidirect
2. #59727C2semidirect
3. #59722C2semidirect
4. #59659C2semidirect
5. #59655C2semidirect
7. #59505C2semidirect
8. #59497C2semidirect
9. #59431C2semidirect
10. #59405C2semidirect
11. #59395C2semidirect
12. #59072C2semidirect
13. #36590C2semidirect
14. #36589C2semidirect
15. #36574C2semidirect
16. #36513C2semidirect
17. #36503C2semidirect
18. #36499C2semidirect
19. #36478C2semidirect
20. #36477C2semidirect
21. #36464C2semidirect
22. #36462C2semidirect
23. #36409C2semidirect
24. #36312C2semidirect
25. #36270C2semidirect
26. #36268C2semidirect
27. #36257C2semidirect
28. #36114C2semidirect
29. C4×Q82C2semidirect
30. C4×#559C2semidirect
31. C4×#554C2semidirect
32. C4×#556C2semidirect
33. C4×#555C2semidirect
34. C4×#552C2semidirect
35. #34151C2semidirect

Maximal subgroups

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

subgroupindex
#599012
#597272
#597222
#596592
#596552
#596522
#595052
#594972
#594312
#594052
#593952
#590722
#365902
#365892
#365742
#365132
#365032
#364992
#364782
#364772
#364642
#364622
#364092
#363122
#362702
#362682
#362572
#361142
C4×Q822
C4×#5592
C4×#5542
C4×#5562
C4×#5552
C4×#5522
#341512