Finite Group Databasebeta

← #7693316

Subgroups — #7693316

Order 512.

5347 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59702C212yesmaximal, complemented
2#59637C212yesmaximal, complemented
3#59507C212yesmaximal, complemented
4#59420C211yesmaximal, characteristic, complemented
5#59416C212yesmaximal, complemented
6#59412C211yesmaximal, characteristic
7#59411C211yesmaximal, characteristic, complemented
8#59386C214yesmaximal, complemented
9#45234C212yesmaximal, complemented
10#45061C212yesmaximal, complemented
11#44654C214yesmaximal, complemented
12#43431C214yesmaximal, complemented
13#40176C212yesmaximal, complemented
14#40172C212yesmaximal, complemented
15#40163C214yesmaximal, complemented
16#39193C211yesmaximal, characteristic, complemented
17#39192C211yesmaximal, characteristic, complemented
18#39187C212yesmaximal, complemented
19#36590C211yesmaximal, characteristic, complemented
20#36573C211yesmaximal, characteristic, complemented
21#36555C211yesmaximal, characteristic, complemented
22#36526C212yesmaximal, complemented
23#36453C211yesmaximal, characteristic, complemented
24#36293C212yesmaximal, complemented
25#36270C211yesmaximal, characteristic, complemented
26#36240C212yesmaximal, complemented
27#35982C212yesmaximal, complemented
28#35802C212yesmaximal, complemented
29#34970C212yesmaximal, complemented
30#34954C211yesmaximal, characteristic, complemented
31#34313C211yesmaximal, characteristic, complemented
32#34310C211yesmaximal, characteristic, complemented
33#34309C212yesmaximal, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#552C2212yescomplemented
39C2×#550C2211yescharacteristic
40C2×#546C2212yes—
41C2×D42C2211yescharacteristic
42C2×#520C2212yescomplemented
43C2×#518C2212yes—
44#2864C2212yescomplemented
45#2861C2212yes—
46#2860C2212yes—
47#2859C2211yescharacteristic, complemented
48#2859C2211yescharacteristic, complemented
49#2859C2211yescharacteristic, complemented
50#2855C2212yescomplemented
51#2852C2214yescomplemented
52#2797C2214yescomplemented
53#2797C2214yescomplemented
54#2796C2214yescomplemented
55#2787C2214yescomplemented
56#2787C2214yescomplemented
57#2779C2214yescomplemented
58#2778C2214yescomplemented
59#2772C2214yescomplemented
60#2757C2214yescomplemented
61#2756C2214yescomplemented
62#2752C2214yescomplemented
63#2750C2214yescomplemented
64#2746C2214yescomplemented
65#2738C2214yescomplemented
66#2725C2214yescomplemented
67#2701C2214yescomplemented
68#2697C2214yes—
69#2687C2214yescomplemented
70#2685C2214yescomplemented
71#2685C2214yescomplemented
72#2678C2214yes—
73#2633C2214yescomplemented
74#2630C2214yescomplemented
75#2625C2212yescomplemented
76#2625C2212yescomplemented
77#2602C2214yescomplemented
78#2601C2214yescomplemented
79#2598C2214yescomplemented
80#2597C2214yescomplemented
81#2594C2214yescomplemented
82#2593C2212yescomplemented
83#2593C2212yescomplemented
84#2587C2214yescomplemented
85#2582C2211yescharacteristic, complemented
86#2582C2211yescharacteristic, complemented
87#2580C2212yescomplemented
88#2580C2212yescomplemented
89#2580C2212yescomplemented
90#2578C2214yescomplemented
91#2576C2214yescomplemented
92#2575C2214yescomplemented
93#2571C2211yescharacteristic, complemented
94#2562C2212yescomplemented
95#2562C2214yescomplemented
96#2559C2214yescomplemented
97#2558C2214yescomplemented
98#2557C2214yescomplemented
99#2553C2214yescomplemented
100#2548C2211yescharacteristic
101#2548C2211yescharacteristic
102#2544C2212yescomplemented
103#2538C2211yescharacteristic
104#2538C2211yescharacteristic
105#2538C2211yescharacteristic
106#2538C2211yescharacteristic, complemented
107#2537C2211yescharacteristic
108#2536C2212yescomplemented
109#2535C2212yes—
110#2534C2214yes—
111#2531C2214yescomplemented
112#2531C2214yescomplemented
113#2526C2214yescomplemented
114#2526C2214yescomplemented
115#2525C2214yescomplemented
116#2523C2214yescomplemented
117#2522C2214yescomplemented
118#2514C2212yescomplemented
119#2513C2212yes—
120#2513C2211yescharacteristic
121#2513C2212yes—
122#2513C2211yescharacteristic, complemented
123#2513C2212yescomplemented
124#2512C2212yes—
125#2510C2214yescomplemented
126#2510C2214yescomplemented
127#2510C2214yescomplemented
128#2509C2212yescomplemented
129#2507C2212yescomplemented
130#2506C2212yescomplemented
131#2504C2212yescomplemented
132#2497C2212yescomplemented
133#2496C2212yescomplemented
134#2495C2212yescomplemented
135#2495C2212yescomplemented
136#2494C2212yescomplemented
137#2494C2212yescomplemented
138#2494C2212yescomplemented
139#2493C2214yescomplemented
140#2490C2212yescomplemented
141#2485C2214yescomplemented
142#2482C2214yescomplemented
143#2481C2214yescomplemented
144#2480C2214yescomplemented
145#2480C2214yescomplemented
146#2480C2214yescomplemented
147#2480C2214yescomplemented
148#2479C2214yescomplemented
149#2476C2214yescomplemented
150#2475C2214yescomplemented
151#2473C2214yescomplemented
152#2472C2214yescomplemented
153#2471C2214yescomplemented
154#2467C2214yescomplemented
155#2460C2214yescomplemented
156#2454C2212yes—
157#2454C2212yescomplemented
158#2454C2212yescomplemented
159#2454C2212yescomplemented
160#2454C2212yescomplemented
161#2454C2212yescomplemented
162#2454C2212yescomplemented
163#2453C2212yescomplemented
164#2448C2211yescharacteristic
165#2448C2211yescharacteristic, complemented
166#2448C2212yescomplemented
167#2447C2212yescomplemented
168#2445C2212yes—
169#2445C2212yescomplemented
170#2442C2212yescomplemented
171#2435C2212yes—
172#2435C2212yes—
173#2433C2212yes—
174#2432C2212yescomplemented
175#2429C2212yescomplemented
176#2428C2212yes—
177#2427C2212yes—
178#2427C2212yes—
179#2427C2212yes—
180#2427C2212yescomplemented
181#2427C2212yescomplemented
182#2425C2214yescomplemented
183#2424C2214yes—
184#2423C2212yescomplemented
185#2422C2212yes—
186#2422C2212yescomplemented
187#2421C2212yescomplemented
188#2420C2212yes—
189#2420C2212yes—
190#2420C2212yes—
191#2418C2214yescomplemented
192#2418C2214yescomplemented
193#2412C2214yescomplemented
194#2408C2212yes—
195#2407C2212yes—
196#2395C2212yescomplemented
197#2395C2214yescomplemented
198#2395C2212yescomplemented
199#2392C2214yescomplemented
200#2374C2214yescomplemented
201#2373C2212yescomplemented
202#2373C2212yescomplemented
203#2367C2211yescharacteristic
204#2367C2211yescharacteristic
205#2367C2212yescomplemented
206#2367C2212yescomplemented
207#2366C2211yescharacteristic
208#2366C2212yescomplemented
209#2365C2211yescharacteristic, complemented
210#2364C2214yescomplemented
211#2363C2212yes—
212#2362C2212yescomplemented
213#2362C2212yescomplemented
214#2361C2212yes—
215#2361C2212yes—
216#2361C2212yescomplemented
217#2361C2214yescomplemented
218#2360C2212yescomplemented
219#2359C2214yescomplemented
220#2358C2214yes—
221#2358C2214yescomplemented
222#2357C2212yescomplemented
223#2357C2212yescomplemented
224#2356C2211yescharacteristic, complemented
225#2356C2211yescharacteristic, complemented
226#2355C2211yescharacteristic, complemented
227#2355C2211yescharacteristic, complemented
228#2355C2211yescharacteristic, complemented
229#2354C2211yescharacteristic
230#2354C2211yescharacteristic
231#2352C2212yescomplemented
232Q8×C4⋊C4C2211yescharacteristic, complemented
233#2349C2212yescomplemented
234#2349C2212yescomplemented
235#2349C2212yescomplemented
236#2349C2212yescomplemented
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2211yescharacteristic, complemented
239D4×C4⋊C4C2212yescomplemented
240#2347C2212yescomplemented
241#2347C2212yescomplemented
242#2345C2212yescomplemented
243#2345C2212yescomplemented
244#2342C2214yescomplemented
245#2342C2214yescomplemented
246#2341C2212yescomplemented
247#2339C2212yescomplemented
248D4×C22⋊C4C2212yes—
249D4×C22⋊C4C2212yes—
250D4×C22⋊C4C2212yes—
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2212yes—
253#2324C2212yes—
254#2324C2212yes—
255#2324C2212yescomplemented
256#2324C2214yescomplemented
257#2323C2212yescomplemented
258#2322C2214yescomplemented
259#2321C2214yes—
260#2321C2214yescomplemented
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×#127C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#127C2211yescharacteristic
265C4×#127C2211yescharacteristic
266C4×#127C2212yescomplemented
267C4×#125C2212yescomplemented
268C4×#126C2212yescomplemented
269C4×#126C2212yescomplemented
270C4×#124C2212yes—
271C4×#124C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×#124C2211yescharacteristic
274C4×#124C2212yescomplemented
275C4×#124C2211yescharacteristic, complemented
276C4×#124C2212yescomplemented
277C4×#124C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×#123C2214yescomplemented
280C4×#123C2214yescomplemented
281C4×#121C2212yes—
282C4×#121C2214yescomplemented
283C4×#121C2212yescomplemented
284#2293C2211yescharacteristic
285#2293C2212yescomplemented
286#2293C2211yescharacteristic, complemented
287#2293C2212yescomplemented
288#2293C2212yescomplemented
289C2×#390C2212yes—
290C2×#388C2214yescomplemented
291C42×Q8C2211yescharacteristic, complemented
292C42×Q8C2211yescharacteristic, complemented
293C42×Q8C2211yescharacteristic, complemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2212yescomplemented
297C42×D4C2212yescomplemented
298C4×#117C2212yescomplemented
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302#559—28no—
303#556—28no—
304#552—48no—
305#550—28no—
306#546—216no—
307D42—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×#127C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#124C2311yescharacteristic
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346#520—48no—
347#518—48no—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2314yes—
395C2×#117C2314yes—
396C2×#117C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2314yes—
399C22×C4⋊C4C2312yes—
400C22×C22⋊C4C2314yes—
401C22×C22⋊C4C2314yes—
402C22×C22⋊C4C2314yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2314yes—
405C22×C42C2312yes—
406C22×C42C2314yes—
407#401C2314yes—
408#401C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2312yes—
422#399C2314yes—
423#399C2312yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#393C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2314yes—
512#390C2314yes—
513#390C2314yes—
514#390C2312yes—
515#390C2314yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2314yes—
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2311yescharacteristic
698#383C2312yes—
699#383C2312yes—
700#383C2314yes—
701#383C2314yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#379C2314yes—
736#379C2314yes—
737#379C2314yes—
738#379C2314yes—
739#379C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C25C2414yes—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×D4—28no—
827C22×D4—28no—
828C22×D4—28no—
829C22×D4—44no—
830C22×D4—44no—
831C22×D4—44no—
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C4⋊Q8—24no—
859#127—28no—
860#127—42no—
861#127#4118yes—
862#126—28no—
863#126—28no—
864#126—48no—
865#126—84no—
866#125—44no—
867#125—48no—
868#125—44no—
869#125—82no—
870#124—24no—
871#124—28no—
872#124—28no—
873#124—42no—
874#124—42no—
875#124—44no—
876#124#4118yes—
877#123—216no—
878#123—216no—
879#123—48no—
880#123—48no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886#121—28no—
887#121—28no—
888#121—28no—
889#121—28no—
890#121—216no—
891#121—216no—
892#121—44no—
893#120—216no—
894#120—216no—
895#120—84no—
896C4×Q8—24no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—24no—
903C4×Q8—24no—
904C4×Q8—42no—
905C4×Q8—42no—
906C4×Q8—42no—
907C4×Q8—42no—
908C4×Q8—44no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—24no—
920C4×D4—44no—
921C4×D4—48no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—48no—
931C4×D4—48no—
932C4×D4—44no—
933C4×D4—48no—
934C4×D4—84no—
935C4×D4—82no—
936C4×D4—84no—
937C4×D4—82no—
938#117—28no—
939#117—28no—
940#117—44no—
941#117—44no—
942#117—48no—
943#117—48no—
944#117—44no—
945C2×C4⋊C4—28no—
946C2×C4⋊C4—44no—
947C2×C4⋊C4—48no—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C22⋊C4—216no—
1011C2×C22⋊C4—48no—
1012C2×C22⋊C4—48no—
1013C2×C22⋊C4—48no—
1014C2×C22⋊C4—84no—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C42—44no—
1080C2×C42—84no—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2411yescharacteristic
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187C24—28no—
1188C24—28no—
1189C24—44no—
1190C24—44no—
1191C24—44no—
1192C24—44no—
1193C24—44no—
1194C24C2512yes—
1195C24C2512yes—
1196C24C2512yes—
1197C24C2514yes—
1198#41—432no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—41no—
1210C2×Q8C2×#4114yes—
1211C2×D4—28no—
1212C2×D4—28no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—432no—
1247C2×D4—816no—
1248C2×D4C2×#4118yes—
1249C2×D4C2×#4114yes—
1250C2×D4C2×#4118yes—
1251C2×D4C2×#4118yes—
1252C22×C4—24no—
1253C22×C4—28no—
1254C22×C4—28no—
1255C22×C4—28no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—28no—
1267C22×C4—24no—
1268C22×C4—28no—
1269C22×C4—28no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2514yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—28no—
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—41no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4H(5,𝔽2)14yes—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—28no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4C2×#4118yes—
1447C22⋊C4C2×#4118yes—
1448C42—24no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—22no—
1454C42—22no—
1455C42—28no—
1456C42—22no—
1457C42—24no—
1458C42—24no—
1459C42—22no—
1460C42—24no—
1461C42—22no—
1462C42—22no—
1463C42—24no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—42no—
1471C42—42no—
1472C42—42no—
1473C42—42no—
1474C42—44no—
1475C42—44no—
1476C42—42no—
1477C42—42no—
1478C42—44no—
1479C42—41no—
1480C42—42no—
1481C42—41no—
1482C42—41no—
1483C42—41no—
1484C42—42no—
1485C42—42no—
1486C42—42no—
1487C42—41no—
1488C42C2×#4114yes—
1489C42C2×#4114yes—
1490C23—24no—
1491C23—22no—
1492C23—24no—
1493C23—22no—
1494C23—24no—
1495C23—22no—
1496C23—22no—
1497C23—24no—
1498C23—24no—
1499C23—22no—
1500C23—22no—
1501C23—24no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—416no—
1517C23—88no—
1518C23—88no—
1519C23—88no—
1520C23—88no—
1521C23—164no—
1522C23—164no—
1523C23C22×#4114yes—
1524C23C22×#4118yes—
1525C23C2611yescharacteristic
1526Q8—28no—
1527Q8—44no—
1528Q8—44no—
1529Q8—44no—
1530D4—28no—
1531D4—216no—
1532D4—216no—
1533D4—48no—
1534D4—416no—
1535D4—416no—
1536D4—44no—
1537D4—44no—
1538D4—84no—
1539D4—88no—
1540D4—88no—
1541D4—88no—
1542D4—84no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—24no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—24no—
1624C2×C4—48no—
1625C2×C4—416no—
1626C2×C4—48no—
1627C2×C4—48no—
1628C2×C4—48no—
1629C2×C4—88no—
1630C2×C4—88no—
1631C2×C4—84no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4—164no—
1635C2×C4—164no—
1636C2×C4—164no—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4114yes—
1639C2×C4C22×#4112yes—
1640C2×C4C22×#4112yes—
1641C2×C4C22×#4112yes—
1642C2×C4C22×#4112yes—
1643C2×C4C22×#4112yes—
1644C2×C4C2×H(5,𝔽2)14yes—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C2×C4#58512yes—
1647C2×C4#58512yes—
1648C2×C4#58512yes—
1649C22—28no—
1650C22—24no—
1651C22—28no—
1652C22—24no—
1653C22—28no—
1654C22—24no—
1655C22—42no—
1656C22—44no—
1657C22—42no—
1658C22—44no—
1659C22—42no—
1660C22—44no—
1661C22—44no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—1616no—
1678C22C23×#4111yescharacteristic
1679C22C23×#4111yescharacteristic
1680C22C22×H(5,𝔽2)11yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22H(7,𝔽2)11yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—24no—
1690C4—24no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—41no—
1695C4—41no—
1696C4—44no—
1697C4—41no—
1698C4—41no—
1699C4—42no—
1700C4—44no—
1701C4—41no—
1702C4—42no—
1703C4—42no—
1704C4—42no—
1705C4—41no—
1706C4—41no—
1707C4—42no—
1708C4—44no—
1709C4—41no—
1710C4—41no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4#348114yes—
1715C4#352114yes—
1716C2—48no—
1717C2—44no—
1718C2—82no—
1719C2—82no—
1720C2C2×#348111yescharacteristic
1721C2C2×#352111yescharacteristic
1722C2#6281611yescharacteristic
1723C2#6292011yescharacteristic
1724C2#6299211yescharacteristic
1725C2#6301011yescharacteristic
1726C2#6303511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59412C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59702C2semidirect
2. #59637C2semidirect
3. #59507C2semidirect
4. #59420C2semidirect
5. #59416C2semidirect
7. #59411C2semidirect
8. #59386C2semidirect
9. #45234C2semidirect
10. #45061C2semidirect
11. #44654C2semidirect
12. #43431C2semidirect
13. #40176C2semidirect
14. #40172C2semidirect
15. #40163C2semidirect
16. #39193C2semidirect
17. #39192C2semidirect
18. #39187C2semidirect
19. #36590C2semidirect
20. #36573C2semidirect
21. #36555C2semidirect
22. #36526C2semidirect
23. #36453C2semidirect
24. #36293C2semidirect
25. #36270C2semidirect
26. #36240C2semidirect
27. #35982C2semidirect
28. #35802C2semidirect
29. #34970C2semidirect
30. #34954C2semidirect
31. #34313C2semidirect
32. #34310C2semidirect
33. #34309C2semidirect
34. C4×#559C2semidirect
35. C4×#556C2semidirect
38. C2×#552C22semidirect
42. C2×#520C22semidirect
44. #2864C22semidirect
47. #2859C22semidirect
48. #2859C22semidirect
49. #2859C22semidirect
50. #2855C22semidirect
51. #2852C22semidirect
52. #2797C22semidirect
53. #2797C22semidirect
54. #2796C22semidirect
55. #2787C22semidirect
56. #2787C22semidirect
57. #2779C22semidirect
58. #2778C22semidirect
59. #2772C22semidirect
60. #2757C22semidirect
61. #2756C22semidirect
62. #2752C22semidirect
63. #2750C22semidirect
64. #2746C22semidirect
65. #2738C22semidirect
66. #2725C22semidirect
67. #2701C22semidirect
69. #2687C22semidirect
70. #2685C22semidirect
71. #2685C22semidirect
73. #2633C22semidirect
74. #2630C22semidirect
75. #2625C22semidirect
76. #2625C22semidirect
77. #2602C22semidirect
78. #2601C22semidirect
79. #2598C22semidirect
80. #2597C22semidirect
81. #2594C22semidirect
82. #2593C22semidirect
83. #2593C22semidirect
84. #2587C22semidirect
85. #2582C22semidirect
86. #2582C22semidirect
87. #2580C22semidirect
88. #2580C22semidirect
89. #2580C22semidirect
90. #2578C22semidirect
91. #2576C22semidirect
92. #2575C22semidirect
93. #2571C22semidirect
94. #2562C22semidirect
95. #2562C22semidirect
96. #2559C22semidirect
97. #2558C22semidirect
98. #2557C22semidirect
99. #2553C22semidirect
102. #2544C22semidirect
106. #2538C22semidirect
108. #2536C22semidirect
111. #2531C22semidirect
112. #2531C22semidirect
113. #2526C22semidirect
114. #2526C22semidirect
115. #2525C22semidirect
116. #2523C22semidirect
117. #2522C22semidirect
118. #2514C22semidirect
122. #2513C22semidirect
123. #2513C22semidirect
125. #2510C22semidirect
126. #2510C22semidirect
127. #2510C22semidirect
128. #2509C22semidirect
129. #2507C22semidirect
130. #2506C22semidirect
131. #2504C22semidirect
132. #2497C22semidirect
133. #2496C22semidirect
134. #2495C22semidirect
135. #2495C22semidirect
136. #2494C22semidirect
137. #2494C22semidirect
138. #2494C22semidirect
139. #2493C22semidirect
140. #2490C22semidirect
141. #2485C22semidirect
142. #2482C22semidirect
143. #2481C22semidirect
144. #2480C22semidirect
145. #2480C22semidirect
146. #2480C22semidirect
147. #2480C22semidirect
148. #2479C22semidirect
149. #2476C22semidirect
150. #2475C22semidirect
151. #2473C22semidirect
152. #2472C22semidirect
153. #2471C22semidirect
154. #2467C22semidirect
155. #2460C22semidirect
157. #2454C22semidirect
158. #2454C22semidirect
159. #2454C22semidirect
160. #2454C22semidirect
161. #2454C22semidirect
162. #2454C22semidirect
163. #2453C22semidirect
165. #2448C22semidirect
166. #2448C22semidirect
167. #2447C22semidirect
169. #2445C22semidirect
170. #2442C22semidirect
174. #2432C22semidirect
175. #2429C22semidirect
180. #2427C22semidirect
181. #2427C22semidirect
182. #2425C22semidirect
184. #2423C22semidirect
186. #2422C22semidirect
187. #2421C22semidirect
191. #2418C22semidirect
192. #2418C22semidirect
193. #2412C22semidirect
196. #2395C22semidirect
197. #2395C22semidirect
198. #2395C22semidirect
199. #2392C22semidirect
200. #2374C22semidirect
201. #2373C22semidirect
202. #2373C22semidirect
205. #2367C22semidirect
206. #2367C22semidirect
208. #2366C22semidirect
209. #2365C22semidirect
210. #2364C22semidirect
212. #2362C22semidirect
213. #2362C22semidirect
216. #2361C22semidirect
217. #2361C22semidirect
218. #2360C22semidirect
219. #2359C22semidirect
221. #2358C22semidirect
222. #2357C22semidirect
223. #2357C22semidirect
224. #2356C22semidirect
225. #2356C22semidirect
226. #2355C22semidirect
227. #2355C22semidirect
228. #2355C22semidirect
231. #2352C22semidirect
232. Q8×C4⋊C4C22semidirect
233. #2349C22semidirect
234. #2349C22semidirect
235. #2349C22semidirect
236. #2349C22semidirect
238. D4×C4⋊C4C22semidirect
239. D4×C4⋊C4C22semidirect
240. #2347C22semidirect
241. #2347C22semidirect
242. #2345C22semidirect
243. #2345C22semidirect
244. #2342C22semidirect
245. #2342C22semidirect
246. #2341C22semidirect
247. #2339C22semidirect
255. #2324C22semidirect
256. #2324C22semidirect
257. #2323C22semidirect
258. #2322C22semidirect
260. #2321C22semidirect
261. C4×C4⋊Q8C22semidirect
266. C4×#127C22semidirect
267. C4×#125C22semidirect
268. C4×#126C22semidirect
269. C4×#126C22semidirect
274. C4×#124C22semidirect
275. C4×#124C22semidirect
276. C4×#124C22semidirect
277. C4×#124C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×#123C22semidirect
280. C4×#123C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
285. #2293C22semidirect
286. #2293C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
290. C2×#388C22semidirect
291. C42×Q8C22semidirect
292. C42×Q8C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#597022
#596372
#595072
#594202
#594162
#594122
#594112
#593862
#452342
#450612
#446542
#434312
#401762
#401722
#401632
#391932
#391922
#391872
#365902
#365732
#365552
#365262
#364532
#362932
#362702
#362402
#359822
#358022
#349702
#349542
#343132
#343102
#343092
C4×#5592
C4×#5562