Finite Group Databasebeta

← #7699961

Subgroups — #7699961

Order 512.

5042 conjugacy classes of subgroups.

The subgroup lattice has 1659 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59901C214yesmaximal, complemented
2#59783C214yesmaximal, complemented
3#59780C214yesmaximal, complemented
4#59751C212yesmaximal, complemented
5#59710C212yesmaximal, complemented
6#59699C212yesmaximal, complemented
7#59697C212yesmaximal, complemented
8#59665C211yesmaximal, characteristic, complemented
9#59643C212yesmaximal, complemented
10#59118C212yesmaximal, complemented
11#59084C211yesmaximal, characteristic, complemented
12#59081C211yesmaximal, characteristic, complemented
13#36591C211yesmaximal, characteristic, complemented
14#36589C212yesmaximal, complemented
15#36481C211yesmaximal, characteristic, complemented
16#36479C212yesmaximal, complemented
17#36461C212yesmaximal, complemented
18#36460C211yesmaximal, characteristic, complemented
19#36413C212yesmaximal, complemented
20#36379C214yesmaximal, complemented
21#36371C212yesmaximal, complemented
22#36367C212yesmaximal, complemented
23#36314C211yesmaximal, characteristic, complemented
24#36271C211yesmaximal, characteristic, complemented
25#36268C212yesmaximal, complemented
26#36250C212yesmaximal, complemented
27#36150C211yesmaximal, characteristic
28#36117C211yesmaximal, characteristic, complemented
29C4×Q82C211yesmaximal, characteristic, complemented
30C4×#556C211yesmaximal, characteristic, complemented
31C4×#556C212yesmaximal, complemented
32C4×#552C211yesmaximal, characteristic, complemented
33#34155C211yesmaximal, characteristic, complemented
34#34151C212yesmaximal, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#556C2212yes—
38C2×#556C2211yescharacteristic
39C2×#552C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#529C2212yes—
43#2864C2212yes—
44#2863C2212yes—
45#2861C2212yes—
46#2861C2214yes—
47#2860C2212yes—
48#2860C2212yes—
49#2860C2214yes—
50#2858C2211yescharacteristic
51#2857C2211yescharacteristic
52#2856C2211yescharacteristic
53#2855C2214yes—
54#2854C2212yes—
55#2800C2214yes—
56#2799C2214yes—
57#2793C2214yes—
58#2777C2214yes—
59#2773C2214yes—
60#2731C2214yes—
61#2729C2214yes—
62#2718C2214yes—
63#2710C2214yes—
64#2608C2214yes—
65#2607C2214yes—
66#2606C2214yes—
67#2601C2214yes—
68#2601C2214yes—
69#2601C2214yes—
70#2597C2214yes—
71#2596C2214yes—
72#2595C2214yes—
73#2593C2214yes—
74#2592C2212yes—
75#2584C2212yes—
76#2574C2214yes—
77#2573C2214yes—
78#2572C2214yes—
79#2571C2211yescharacteristic
80#2568C2211yescharacteristic
81#2560C2214yes—
82#2559C2214yes—
83#2558C2214yes—
84#2557C2214yes—
85#2556C2214yes—
86#2554C2214yes—
87#2552C2211yescharacteristic
88#2550C2212yes—
89#2550C2212yes—
90#2548C2211yescharacteristic
91#2548C2211yescharacteristic
92#2546C2211yescharacteristic
93#2545C2212yes—
94#2540C2212yes—
95#2533C2214yes—
96#2532C2214yes—
97#2532C2214yes—
98#2530C2214yes—
99#2530C2214yes—
100#2526C2214yes—
101#2526C2214yes—
102#2525C2214yes—
103#2525C2214yes—
104#2523C2214yes—
105#2522C2214yes—
106#2522C2214yes—
107#2521C2214yes—
108#2519C2214yes—
109#2519C2214yes—
110#2516C2214yes—
111#2516C2214yes—
112#2513C2212yes—
113#2512C2212yes—
114#2512C2214yes—
115#2512C2212yes—
116#2512C2212yes—
117#2511C2212yes—
118#2509C2212yes—
119#2509C2212yes—
120#2507C2212yes—
121#2506C2212yes—
122#2506C2212yes—
123#2501C2212yes—
124#2500C2212yes—
125#2499C2212yes—
126#2495C2212yes—
127#2492C2212yes—
128#2491C2212yes—
129#2491C2212yes—
130#2490C2212yes—
131#2479C2214yes—
132#2479C2214yes—
133#2478C2214yes—
134#2477C2214yes—
135#2470C2214yes—
136#2469C2214yes—
137#2469C2214yes—
138#2466C2214yes—
139#2465C2214yes—
140#2461C2214yes—
141#2458C2214yes—
142#2454C2212yes—
143#2454C2212yes—
144#2453C2214yes—
145#2453C2212yes—
146#2452C2212yes—
147#2452C2212yes—
148#2452C2212yes—
149#2451C2212yes—
150#2448C2212yes—
151#2448C2214yes—
152#2448C2212yes—
153#2448C2212yes—
154#2448C2212yes—
155#2447C2212yes—
156#2446C2214yes—
157#2441C2214yes—
158#2441C2212yes—
159#2439C2212yes—
160#2432C2214yes—
161#2429C2212yes—
162#2429C2212yes—
163#2427C2212yes—
164#2426C2212yes—
165#2426C2212yes—
166#2426C2212yes—
167#2426C2212yes—
168#2426C2212yes—
169#2425C2214yes—
170#2423C2212yes—
171#2421C2212yes—
172#2420C2212yes—
173#2414C2212yes—
174#2407C2212yes—
175#2374C2214yes—
176#2374C2214yes—
177#2373C2214yes—
178#2373C2214yes—
179#2373C2212yes—
180#2373C2212yes—
181#2373C2214yes—
182#2373C2214yes—
183#2373C2212yes—
184#2372C2214yes—
185#2371C2212yes—
186#2370C2212yes—
187#2370C2211yescharacteristic
188#2370C2212yes—
189#2370C2212yes—
190#2370C2212yes—
191#2369C2211yescharacteristic
192#2369C2211yescharacteristic
193#2369C2212yes—
194#2369C2211yescharacteristic
195#2369C2212yes—
196#2369C2214yes—
197#2368C2214yes—
198#2367C2212yes—
199#2367C2212yes—
200#2367C2212yes—
201#2367C2212yes—
202#2367C2212yes—
203#2367C2212yes—
204#2366C2211yescharacteristic
205#2366C2211yescharacteristic
206#2365C2212yes—
207#2365C2211yescharacteristic
208#2365C2211yescharacteristic
209#2365C2211yescharacteristic
210#2363C2212yes—
211#2363C2212yes—
212#2363C2212yes—
213#2363C2212yes—
214#2363C2212yes—
215#2363C2212yes—
216#2362C2214yes—
217#2362C2211yescharacteristic
218#2362C2212yes—
219#2362C2211yescharacteristic
220#2362C2212yes—
221#2362C2214yes—
222#2362C2211yescharacteristic
223#2361C2212yes—
224#2360C2211yescharacteristic
225#2360C2212yes—
226#2360C2212yes—
227#2359C2212yes—
228#2357C2212yes—
229#2357C2212yes—
230#2356C2211yescharacteristic
231#2356C2212yes—
232#2356C2212yes—
233#2355C2212yes—
234#2355C2211yescharacteristic
235#2354C2212yes—
236#2354C2211yescharacteristic
237#2352C2211yescharacteristic
238Q8×C4⋊C4C2211yescharacteristic
239Q8×C4⋊C4C2212yes—
240Q8×C4⋊C4C2212yes—
241Q8×C4⋊C4C2211yescharacteristic
242#2347C2211yescharacteristic
243#2347C2211yescharacteristic
244#2347C2214yes—
245#2347C2212yes—
246#2346C2211yescharacteristic
247#2344C2211yescharacteristic
248#2343C2212yes—
249#2341C2212yes—
250C4×C4⋊Q8C2212yes—
251C4×C4⋊Q8C2211yescharacteristic
252C4×C4⋊Q8C2211yescharacteristic
253C4×C4⋊Q8C2212yes—
254C4×C4⋊Q8C2214yes—
255C4×C4⋊Q8C2212yes—
256C4×#125C2211yescharacteristic
257C4×#125C2212yes—
258C4×#126C2212yes—
259C4×#126C2212yes—
260C4×#126C2212yes—
261C4×#126C2214yes—
262C4×#126C2214yes—
263C4×#124C2212yes—
264C4×#124C2212yes—
265C4×#124C2212yes—
266C4×C22⋊Q8C2211yescharacteristic
267C4×C22⋊Q8C2211yescharacteristic
268C4×C22⋊Q8C2211yescharacteristic
269C4×C22⋊Q8C2214yes—
270C4×C22⋊Q8C2211yescharacteristic
271C4×#123C2212yes—
272#2298C2214yes—
273#2297C2214yes—
274#2296C2212yes—
275#2295C2212yes—
276#2295C2214yes—
277#2295C2212yes—
278#2293C2212yes—
279#2293C2212yes—
280#2293C2212yes—
281#2293C2214yes—
282#2290C2214yes—
283C42×Q8C2212yes—
284C42×Q8C2212yes—
285C42×Q8C2212yes—
286C42×Q8C2211yescharacteristic
287C42×Q8C2212yes—
288C42×Q8C2211yescharacteristic
289C42×D4C2211yescharacteristic
290C42×D4C2212yes—
291C42×D4C2212yes—
292C4×#117C2212yes—
293C4×#117C2214yes—
294C4×#117C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300Q82—28no—
301#556—28no—
302#556—216no—
303#552—28no—
304#533—28no—
305#532—28no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2311yescharacteristic
314#529—216no—
315C2×#126C2314yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2314yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×#117C2312yes—
381C2×#117C2314yes—
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2314yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2314yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C42C2312yes—
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
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#397C2314yes—
427#397C2314yes—
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#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#392C2314yes—
452#391C2312yes—
453#391C2311yescharacteristic
454#391C2314yes—
455#391C2312yes—
456#391C2314yes—
457#391C2314yes—
458#391C2312yes—
459#391C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2314yes—
466#391C2312yes—
467#391C2314yes—
468#391C2312yes—
469#391C2314yes—
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#391C2311yescharacteristic
473#391C2314yes—
474#391C2314yes—
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2314yes—
479#390C2312yes—
480#390C2312yes—
481#390C2314yes—
482#390C2314yes—
483#390C2314yes—
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2312yes—
498#390C2312yes—
499#390C2314yes—
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2314yes—
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2314yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2312yes—
608#387C2312yes—
609#387C2314yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#385C2314yes—
668#385C2314yes—
669#384C2311yescharacteristic
670#384C2314yes—
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#384C2311yescharacteristic
675#383C2312yes—
676#383C2314yes—
677#383C2312yes—
678#383C2312yes—
679#383C2314yes—
680#382C2312yes—
681#382C2311yescharacteristic
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#381C2312yes—
687#381C2314yes—
688#381C2314yes—
689#380C2314yes—
690#380C2314yes—
691#380C2312yes—
692#380C2311yescharacteristic
693#380C2311yescharacteristic
694#380C2312yes—
695#380C2311yescharacteristic
696#380C2311yescharacteristic
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2311yescharacteristic
770C4×C22⋊C4C2311yescharacteristic
771C4×C22⋊C4C2311yescharacteristic
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808C2×#95C2312yes—
809C43C2314yes—
810C43C2312yes—
811C43C2312yes—
812C43C2312yes—
813C43C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C43C2312yes—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—82no—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2414yes—
825C22×Q8C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2414yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2411yescharacteristic
843C4⋊Q8—28no—
844C4⋊Q8—216no—
845C4⋊Q8—24no—
846C4⋊Q8—28no—
847C4⋊Q8—28no—
848C4⋊Q8—24no—
849C4⋊Q8#4118yes—
850#127—24no—
851#126—216no—
852#126—28no—
853#126—216no—
854#126—28no—
855#126—28no—
856#126—216no—
857#126—84no—
858#125—28no—
859#125—28no—
860#125—28no—
861#125—24no—
862#125—84no—
863#124—28no—
864#124—28no—
865#124—28no—
866#124—28no—
867#124—28no—
868#124—44no—
869#124—84no—
870#123—28no—
871#123—216no—
872#123—84no—
873C22⋊Q8—28no—
874C22⋊Q8—24no—
875C22⋊Q8—24no—
876C22⋊Q8—24no—
877C22⋊Q8—28no—
878C22⋊Q8—216no—
879C22⋊Q8—48no—
880C22⋊Q8—44no—
881C22⋊Q8#4118yescomplemented
882#121—28no—
883#121—28no—
884#121—28no—
885#121—44no—
886#121—82no—
887C4×Q8—28no—
888C4×Q8—28no—
889C4×Q8—24no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—28no—
895C4×Q8—24no—
896C4×Q8—28no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—42no—
903C4×Q8—84no—
904C4×Q8—82no—
905C4×Q8#4118yescomplemented
906C4×D4—24no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—216no—
913C4×D4—24no—
914C4×D4—44no—
915C4×D4—42no—
916#117—24no—
917#117—216no—
918#117—28no—
919#117—24no—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—28no—
924#117—216no—
925#117—44no—
926#117—42no—
927#117—84no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—42no—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C42—28no—
1046C2×C42—24no—
1047C2×C42—24no—
1048C2×C42—48no—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2411yescharacteristic
1133#95C2414yes—
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2412yes—
1137#95C2411yescharacteristic
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24C2511yescharacteristic
1175C24C2514yes—
1176C24C2511yescharacteristic
1177#41—816no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—28no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8C2×#4114yes—
1194C2×Q8C2×#4114yes—
1195C2×Q8C2×#4118yes—
1196C2×D4—22no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—28no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—41no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—28no—
1225C22×C4—28no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—28no—
1229C22×C4—22no—
1230C22×C4—28no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—28no—
1236C22×C4—44no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—41no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4C2×#4114yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2514yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2514yes—
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—28no—
1286C4⋊C4—22no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—28no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4C2×#4114yes—
1343C4⋊C4C2×#4118yes—
1344C4⋊C4C2×#4114yes—
1345C4⋊C4C2×#4118yes—
1346C4⋊C4C2×#4118yes—
1347C4⋊C4C2×#4118yes—
1348C4⋊C42−1+414yes—
1349C22⋊C4—24no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—22no—
1365C22⋊C4—28no—
1366C22⋊C4—22no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—22no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—41no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4C2×#4118yes—
1394C42—24no—
1395C42—22no—
1396C42—22no—
1397C42—24no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—24no—
1402C42—22no—
1403C42—24no—
1404C42—24no—
1405C42—28no—
1406C42—28no—
1407C42—24no—
1408C42—24no—
1409C42—28no—
1410C42—22no—
1411C42—24no—
1412C42—24no—
1413C42—24no—
1414C42—28no—
1415C42—24no—
1416C42—24no—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—44no—
1427C42—44no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—42no—
1432C42—41no—
1433C42—42no—
1434C42—44no—
1435C42—42no—
1436C42—44no—
1437C42—42no—
1438C42—44no—
1439C42—41no—
1440C42—42no—
1441C42—42no—
1442C42—44no—
1443C42—42no—
1444C42C2×#4114yes—
1445C42C2×#4118yes—
1446C42C2×#4114yes—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—24no—
1455C23—21no—
1456C23—24no—
1457C23—24no—
1458C23—21no—
1459C23—21no—
1460C23—24no—
1461C23—21no—
1462C23—24no—
1463C23—24no—
1464C23—21no—
1465C23—24no—
1466C23—21no—
1467C23C22×#4112yes—
1468C23C2611yescharacteristic
1469Q8—28no—
1470Q8—28no—
1471Q8—48no—
1472Q8—48no—
1473Q8—48no—
1474Q8—88no—
1475D4—44no—
1476D4—48no—
1477D4—48no—
1478D4—84no—
1479D4—88no—
1480D4—88no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—24no—
1502C2×C4—21no—
1503C2×C4—28no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—21no—
1561C2×C4—416no—
1562C2×C4—416no—
1563C2×C4—44no—
1564C2×C4—48no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—82no—
1569C2×C4—88no—
1570C2×C4—84no—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4114yes—
1573C2×C4C22×#4114yes—
1574C2×C4C22×#4112yes—
1575C2×C4C22×#4118yes—
1576C2×C4C22×#4114yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4114yes—
1579C2×C4C22×#4112yes—
1580C2×C4C22×#4112yes—
1581C2×C4C22×#4112yes—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4112yes—
1584C2×C4C2×2−1+414yes—
1585C2×C4C2×2−1+412yes—
1586C2×C4#58512yes—
1587C2×C4#58512yes—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—44no—
1597C22—41no—
1598C22—44no—
1599C22—44no—
1600C22—41no—
1601C22—44no—
1602C22—41no—
1603C22—41no—
1604C22—44no—
1605C22—41no—
1606C22—44no—
1607C22—44no—
1608C22—41no—
1609C22C23×#4111yescharacteristic
1610C22C23×#4111yescharacteristic
1611C22C23×#4111yescharacteristic
1612C22C22×2−1+411yescharacteristic
1613C22C2×#58511yescharacteristic
1614C22C2×#58511yescharacteristic
1615C22H(7,𝔽2)11yescharacteristic
1616C4—22no—
1617C4—22no—
1618C4—28no—
1619C4—22no—
1620C4—24no—
1621C4—24no—
1622C4—22no—
1623C4—24no—
1624C4—24no—
1625C4—24no—
1626C4—22no—
1627C4—41no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—41no—
1635C4—42no—
1636C4—42no—
1637C4—44no—
1638C4—41no—
1639C4—42no—
1640C4—41no—
1641C4—41no—
1642C4—44no—
1643C4—41no—
1644C4—42no—
1645C4—42no—
1646C4#348014yes—
1647C4#348214yes—
1648C2—42no—
1649C2—81no—
1650C2—84no—
1651C2C2×#348011yescharacteristic
1652C2C2×#348211yescharacteristic
1653C2#41211yescharacteristic
1654C2#6299011yescharacteristic
1655C2#6299911yescharacteristic
1656C2#6300611yescharacteristic
1657C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36150C2
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. #59783C2semidirect
3. #59780C2semidirect
4. #59751C2semidirect
5. #59710C2semidirect
6. #59699C2semidirect
7. #59697C2semidirect
8. #59665C2semidirect
9. #59643C2semidirect
10. #59118C2semidirect
11. #59084C2semidirect
12. #59081C2semidirect
13. #36591C2semidirect
14. #36589C2semidirect
15. #36481C2semidirect
16. #36479C2semidirect
17. #36461C2semidirect
18. #36460C2semidirect
19. #36413C2semidirect
20. #36379C2semidirect
21. #36371C2semidirect
22. #36367C2semidirect
23. #36314C2semidirect
24. #36271C2semidirect
25. #36268C2semidirect
26. #36250C2semidirect
28. #36117C2semidirect
29. C4×Q82C2semidirect
30. C4×#556C2semidirect
31. C4×#556C2semidirect
32. C4×#552C2semidirect
33. #34155C2semidirect
34. #34151C2semidirect
35. #34145C2semidirect
881. C22⋊Q8#41semidirect
905. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599012
#597832
#597802
#597512
#597102
#596992
#596972
#596652
#596432
#591182
#590842
#590812
#365912
#365892
#364812
#364792
#364612
#364602
#364132
#363792
#363712
#363672
#363142
#362712
#362682
#362502
#361502
#361172
C4×Q822
C4×#5562
C4×#5522
#341552
#341512
#341452