Finite Group Databasebeta

← #7630890

Subgroups — #7630890

Order 512.

4926 conjugacy classes of subgroups.

The subgroup lattice has 1695 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36069C212yesmaximal, complemented
2#36068C214yesmaximal, complemented
3#36006C212yesmaximal, complemented
4#35999C214yesmaximal, complemented
5#35993C212yesmaximal, complemented
6#35984C212yesmaximal, complemented
7#35804C212yesmaximal, complemented
8#35803C212yesmaximal, complemented
9#35795C214yesmaximal, complemented
10#35794C214yesmaximal, complemented
11#35726C212yesmaximal, complemented
12#35720C212yesmaximal, complemented
13#35340C212yesmaximal, complemented
14#35323C212yesmaximal, complemented
15#35314C212yesmaximal, complemented
16#35313C211yesmaximal, characteristic, complemented
17#35312C211yesmaximal, characteristic, complemented
18#35306C211yesmaximal, characteristic
19#35299C212yesmaximal, complemented
20#35291C212yesmaximal, complemented
21#35269C212yesmaximal, complemented
22#35267C211yesmaximal, characteristic, complemented
23#35265C211yesmaximal, characteristic, complemented
24#35253C211yesmaximal, characteristic, complemented
25#34635C211yesmaximal, characteristic
26#34629C212yesmaximal, complemented
27#34619C212yesmaximal, complemented
28C2×#2625C211yesmaximal, characteristic, complemented
29#34276C211yesmaximal, characteristic, complemented
30#34272C211yesmaximal, characteristic, complemented
31#34254C211yesmaximal, characteristic, complemented
32#34253C211yesmaximal, characteristic, complemented
33#34203C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic
35#33996C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C22×#117C2211yescharacteristic
43C22×#117C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2864C2212yescomplemented
46#2863C2212yescomplemented
47#2863C2212yescomplemented
48#2863C2212yescomplemented
49#2862C2212yescomplemented
50#2861C2212yescomplemented
51#2860C2212yescomplemented
52#2859C2212yescomplemented
53#2857C2212yes—
54#2857C2212yes—
55#2851C2212yes—
56#2850C2212yes—
57#2655C2214yescomplemented
58#2655C2214yescomplemented
59#2654C2214yescomplemented
60#2653C2214yes—
61#2652C2214yes—
62#2652C2214yes—
63#2650C2214yescomplemented
64#2649C2214yes—
65#2647C2212yescomplemented
66#2647C2212yescomplemented
67#2645C2212yescomplemented
68#2645C2212yescomplemented
69#2645C2212yescomplemented
70#2644C2212yescomplemented
71#2642C2212yescomplemented
72#2640C2212yescomplemented
73#2629C2212yes—
74#2628C2212yes—
75#2625C2212yes—
76#2625C2212yes—
77#2625C2212yes—
78#2625C2212yes—
79#2625C2212yes—
80#2625C2212yes—
81#2625C2212yes—
82#2625C2212yes—
83#2625C2211yescharacteristic
84#2625C2211yescharacteristic
85#2625C2211yescharacteristic
86#2625C2211yescharacteristic
87#2624C2211yescharacteristic
88#2624C2211yescharacteristic
89#2624C2211yescharacteristic
90#2624C2211yescharacteristic
91#2623C2212yes—
92#2623C2212yes—
93#2622C2212yes—
94#2622C2212yes—
95#2621C2212yes—
96#2620C2212yes—
97#2597C2214yes—
98#2596C2214yescomplemented
99#2596C2214yescomplemented
100#2595C2214yes—
101#2594C2214yescomplemented
102#2590C2214yescomplemented
103#2590C2214yescomplemented
104#2589C2214yescomplemented
105#2578C2214yes—
106#2578C2214yes—
107#2577C2214yes—
108#2577C2214yes—
109#2577C2214yescomplemented
110#2576C2214yes—
111#2575C2214yescomplemented
112#2560C2214yes—
113#2533C2214yescomplemented
114#2533C2214yescomplemented
115#2532C2214yescomplemented
116#2531C2214yes—
117#2530C2214yes—
118#2530C2214yes—
119#2525C2214yescomplemented
120#2524C2214yescomplemented
121#2524C2214yescomplemented
122#2523C2214yes—
123#2523C2214yes—
124#2522C2214yescomplemented
125#2520C2214yescomplemented
126#2520C2214yescomplemented
127#2519C2214yescomplemented
128#2518C2214yes—
129#2518C2214yes—
130#2517C2214yes—
131#2517C2214yes—
132#2515C2214yescomplemented
133#2514C2212yescomplemented
134#2514C2212yescomplemented
135#2514C2214yescomplemented
136#2511C2212yescomplemented
137#2511C2212yescomplemented
138#2510C2214yes—
139#2509C2214yescomplemented
140#2509C2212yescomplemented
141#2508C2212yescomplemented
142#2508C2214yescomplemented
143#2507C2212yescomplemented
144#2506C2212yescomplemented
145#2505C2214yes—
146#2497C2212yescomplemented
147#2496C2212yescomplemented
148#2495C2214yes—
149#2495C2212yescomplemented
150#2494C2214yes—
151#2494C2212yescomplemented
152#2493C2214yes—
153#2493C2214yes—
154#2492C2212yescomplemented
155#2492C2212yescomplemented
156#2489C2214yes—
157#2489C2212yescomplemented
158#2489C2212yescomplemented
159#2488C2214yes—
160#2488C2214yes—
161#2481C2214yes—
162#2478C2214yescomplemented
163#2477C2214yes—
164#2473C2214yes—
165#2466C2214yes—
166#2460C2214yes—
167#2453C2214yescomplemented
168#2442C2212yes—
169#2441C2212yes—
170#2440C2212yes—
171#2439C2212yes—
172#2438C2214yes—
173#2437C2214yes—
174#2421C2214yes—
175#2417C2212yes—
176#2417C2212yes—
177#2415C2212yes—
178#2415C2212yes—
179#2413C2214yes—
180#2412C2214yes—
181#2402C2214yescomplemented
182#2402C2214yescomplemented
183#2401C2214yes—
184#2401C2214yes—
185#2401C2214yescomplemented
186#2398C2214yes—
187#2396C2214yescomplemented
188#2395C2214yes—
189#2395C2212yes—
190#2395C2212yes—
191#2395C2212yes—
192#2395C2212yes—
193C2×#400C2212yes—
194C2×#398C2212yes—
195C2×#397C2212yes—
196C2×#397C2212yes—
197#2370C2212yescomplemented
198#2370C2212yescomplemented
199#2369C2212yescomplemented
200#2368C2214yes—
201#2365C2212yescomplemented
202#2362C2212yes—
203#2362C2212yes—
204#2362C2212yescomplemented
205#2362C2212yescomplemented
206#2360C2212yes—
207#2360C2212yes—
208#2360C2214yes—
209#2360C2212yescomplemented
210#2360C2212yescomplemented
211#2359C2214yes—
212#2359C2214yes—
213#2359C2214yes—
214#2358C2214yes—
215#2356C2212yescomplemented
216#2356C2212yescomplemented
217#2355C2212yescomplemented
218#2355C2212yescomplemented
219#2354C2212yes—
220#2353C2214yes—
221#2352C2212yes—
222#2352C2212yes—
223#2352C2214yes—
224D4×C4⋊C4C2212yes—
225#2347C2212yescomplemented
226#2346C2212yescomplemented
227#2345C2212yescomplemented
228#2344C2214yes—
229#2344C2212yescomplemented
230#2343C2214yes—
231#2343C2214yes—
232#2342C2214yes—
233#2331C2212yescomplemented
234#2330C2212yescomplemented
235#2327C2212yescomplemented
236#2326C2212yescomplemented
237#2324C2212yes—
238#2323C2212yes—
239#2323C2212yes—
240#2323C2212yes—
241#2320C2212yescomplemented
242#2320C2212yescomplemented
243#2320C2212yescomplemented
244#2319C2212yescomplemented
245#2317C2211yescharacteristic
246#2317C2211yescharacteristic
247#2317C2211yescharacteristic
248#2317C2211yescharacteristic
249#2316C2211yescharacteristic
250#2316C2211yescharacteristic
251#2311C2211yescharacteristic
252#2311C2211yescharacteristic
253#2310C2211yescharacteristic
254#2310C2211yescharacteristic
255C4×C4⋊Q8C2212yescomplemented
256C4×C4⋊Q8C2212yescomplemented
257C4×#125C2212yescomplemented
258C4×#124C2212yescomplemented
259C4×C22⋊Q8C2212yes—
260C4×C22⋊Q8C2212yes—
261C4×C22⋊Q8C2212yes—
262C4×#121C2212yes—
263#2297C2211yescharacteristic
264#2297C2211yescharacteristic
265#2296C2211yescharacteristic
266#2296C2211yescharacteristic
267#2295C2212yescomplemented
268#2295C2212yescomplemented
269#2295C2212yescomplemented
270C2×#391C2211yescharacteristic
271C2×#391C2211yescharacteristic
272#2293C2212yescomplemented
273C2×#389C2211yescharacteristic
274C2×#389C2211yescharacteristic
275#2280C2211yescharacteristic
276C2×#380C2211yescharacteristic
277#2274C2211yescharacteristic
278#2274C2211yescharacteristic
279#2274C2211yescharacteristic
280#2274C2211yescharacteristic
281#2274C2211yescharacteristic
282#2274C2211yescharacteristic
283#2274C2212yes—
284#2274C2211yescharacteristic
285#2274C2211yescharacteristic
286#2274C2211yescharacteristic
287#2274C2212yes—
288#2274C2211yescharacteristic
289#2273C2212yes—
290#2273C2212yes—
291C4×#117C2212yes—
292C4×#117C2212yes—
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#544—28no—
303#536—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2314yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2314yes—
311C2×#124C2312yes—
312#525—28no—
313C2×#123C2312yes—
314C2×#123C2314yes—
315C2×C22⋊Q8—28no—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2314yes—
326C2×#121C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#120C2312yes—
329#520—28no—
330#519—28no—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2314yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2314yes—
342C2×#117—28no—
343C2×#117—28no—
344C2×#117—28no—
345C2×#117C2311yescharacteristic
346C2×#117C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2312yes—
351C2×#117C2314yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2314yes—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C42C2312yes—
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2312yes—
394#401C2314yes—
395#401C2314yes—
396#401C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#399C2312yes—
424#399C2312yes—
425#399C2312yes—
426#399C2312yes—
427#399C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#395C2314yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#394C2312yes—
486#394C2312yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#391C2314yes—
491#391C2311yescharacteristic
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#384C2312yes—
665#384C2312yes—
666#384C2312yes—
667#384C2312yes—
668#383C2314yes—
669#383C2314yes—
670#383C2314yes—
671#383C2314yes—
672#383C2314yes—
673#383C2314yes—
674#382C2312yes—
675#382C2312yes—
676#382C2312yes—
677#382C2312yes—
678#382C2314yes—
679#382C2314yes—
680#382C2314yes—
681#382C2314yes—
682#382C2314yes—
683#382C2314yes—
684#381C2314yes—
685#381C2314yes—
686#381C2314yes—
687#381C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2314yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2311yescharacteristic
699#380C2311yescharacteristic
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2311yescharacteristic
704#380C2311yescharacteristic
705#380C2312yes—
706#379C2312yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2314yes—
764C4×C22⋊C4C2312yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2312yes—
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2312yes—
807#376C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2312yes—
817C43C2312yes—
818C43C2312yes—
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8—24no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2414yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C23×C4—24no—
835C23×C4—24no—
836C23×C4#4118yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2411yescharacteristic
857C4⋊Q8—28no—
858C4⋊Q8—28no—
859C4⋊Q8—28no—
860#126—84no—
861#125—28no—
862#125—28no—
863#125—84no—
864#124—28no—
865#123—28no—
866#123—216no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—24no—
872C22⋊Q8—24no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—216no—
876C22⋊Q8—84no—
877#121—24no—
878#121—24no—
879#120—28no—
880C4×Q8—28no—
881C4×Q8—28no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—28no—
885C4×Q8—84no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—216no—
889C4×D4—28no—
890C4×D4—84no—
891#117—24no—
892#117—24no—
893#117—24no—
894#117—24no—
895#117—24no—
896#117—24no—
897#117—24no—
898#117—24no—
899#117—24no—
900#117—24no—
901#117—24no—
902#117—24no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—28no—
909#117—28no—
910#117—28no—
911#117—216no—
912#117—28no—
913#117—28no—
914#117—84no—
915#117#4118yes—
916#117#4118yes—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4—82no—
929C2×C4⋊C4—82no—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C22⋊C4—24no—
999C2×C22⋊C4—24no—
1000C2×C22⋊C4—28no—
1001C2×C22⋊C4—28no—
1002C2×C22⋊C4—28no—
1003C2×C22⋊C4—82no—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C42—24no—
1051C2×C42—24no—
1052C2×C42—28no—
1053C2×C42—28no—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174C24—22no—
1175C24—22no—
1176C24—41no—
1177C24—41no—
1178C24—41no—
1179C24—41no—
1180C24C2×#4114yes—
1181C24C2512yes—
1182C24C2511yescharacteristic
1183C24C2511yescharacteristic
1184C24C2511yescharacteristic
1185#41—416no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—22no—
1195C2×Q8—28no—
1196C2×Q8—44no—
1197C2×Q8—44no—
1198C2×Q8—416no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—232no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—28no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4C2×#4114yes—
1265C22×C4C2×#4114yes—
1266C22×C4C2×#4114yes—
1267C22×C4C2×#4114yes—
1268C22×C4C2×#4114yes—
1269C22×C4C2×#4114yes—
1270C22×C4C2×#4114yes—
1271C22×C4C2×#4114yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2514yes—
1285C22×C4C2514yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—28no—
1339C4⋊C4—28no—
1340C4⋊C4—28no—
1341C4⋊C4—28no—
1342C4⋊C4—28no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4C2×#4114yes—
1368C4⋊C4C2×#4114yes—
1369C4⋊C4C2×#4114yes—
1370C4⋊C4C2×#4114yes—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—28no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4C2×#4118yes—
1416C22⋊C4C2×#4118yes—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—28no—
1433C42—24no—
1434C42—28no—
1435C42—28no—
1436C42—24no—
1437C42—42no—
1438C42—42no—
1439C42—44no—
1440C42—42no—
1441C42—42no—
1442C42—44no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—44no—
1453C42—44no—
1454C42—42no—
1455C42—42no—
1456C42—42no—
1457C42C2×#4118yes—
1458C42C2×#4118yes—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—28no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—44no—
1484C23—44no—
1485C23—82no—
1486C23—82no—
1487C23—82no—
1488C23—82no—
1489C23C22×#4112yes—
1490C23C22×#4112yes—
1491C23C22×#4112yes—
1492C23C22×#4112yes—
1493C23C22×#4112yes—
1494C23C2611yescharacteristic
1495Q8—48no—
1496Q8—48no—
1497Q8—44no—
1498Q8—88no—
1499D4—48no—
1500D4—48no—
1501D4—44no—
1502D4—84no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—28no—
1516C2×C4—28no—
1517C2×C4—28no—
1518C2×C4—28no—
1519C2×C4—28no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—48no—
1590C2×C4—48no—
1591C2×C4—84no—
1592C2×C4—88no—
1593C2×C4—84no—
1594C2×C4—84no—
1595C2×C4—84no—
1596C2×C4—82no—
1597C2×C4—82no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—82no—
1602C2×C4—82no—
1603C2×C4#529116yes—
1604C2×C4C22×#4114yes—
1605C2×C4C22×#4114yes—
1606C2×C4C22×#4114yes—
1607C2×C4C22×#4114yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4112yes—
1612C2×C4C22×#4112yes—
1613C2×C4C22×#4112yes—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4112yes—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—88no—
1644C22C2×#52914yes—
1645C22C23×#4111yescharacteristic
1646C22C23×#4111yescharacteristic
1647C22C23×#4111yescharacteristic
1648C22H(7,𝔽2)11yescharacteristic
1649C222−1+611yescharacteristic
1650C222−1+611yescharacteristic
1651C222−1+611yescharacteristic
1652C4—24no—
1653C4—24no—
1654C4—24no—
1655C4—24no—
1656C4—22no—
1657C4—22no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—44no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—44no—
1668C4—44no—
1669C4—42no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—44no—
1681C4C2×#52914yes—
1682C4C2×#52914yes—
1683C2—24no—
1684C2—42no—
1685C2—42no—
1686C2—82no—
1687C2C22×#52911yescharacteristic
1688C2#6285611yescharacteristic
1689C2#6285711yescharacteristic
1690C2#6285711yescharacteristic
1691C2#6286011yescharacteristic
1692C2#6286111yescharacteristic
1693C2#6286111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36069C2semidirect
2. #36068C2semidirect
3. #36006C2semidirect
4. #35999C2semidirect
5. #35993C2semidirect
6. #35984C2semidirect
7. #35804C2semidirect
8. #35803C2semidirect
9. #35795C2semidirect
10. #35794C2semidirect
11. #35726C2semidirect
12. #35720C2semidirect
13. #35340C2semidirect
14. #35323C2semidirect
15. #35314C2semidirect
16. #35313C2semidirect
17. #35312C2semidirect
19. #35299C2semidirect
20. #35291C2semidirect
21. #35269C2semidirect
22. #35267C2semidirect
23. #35265C2semidirect
24. #35253C2semidirect
26. #34629C2semidirect
27. #34619C2semidirect
28. C2×#2625C2semidirect
29. #34276C2semidirect
30. #34272C2semidirect
31. #34254C2semidirect
32. #34253C2semidirect
33. #34203C2semidirect
35. #33996C2semidirect
45. #2864C22semidirect
46. #2863C22semidirect
47. #2863C22semidirect
48. #2863C22semidirect
49. #2862C22semidirect
50. #2861C22semidirect
51. #2860C22semidirect
52. #2859C22semidirect
57. #2655C22semidirect
58. #2655C22semidirect
59. #2654C22semidirect
63. #2650C22semidirect
65. #2647C22semidirect
66. #2647C22semidirect
67. #2645C22semidirect
68. #2645C22semidirect
69. #2645C22semidirect
70. #2644C22semidirect
71. #2642C22semidirect
72. #2640C22semidirect
98. #2596C22semidirect
99. #2596C22semidirect
101. #2594C22semidirect
102. #2590C22semidirect
103. #2590C22semidirect
104. #2589C22semidirect
109. #2577C22semidirect
111. #2575C22semidirect
113. #2533C22semidirect
114. #2533C22semidirect
115. #2532C22semidirect
119. #2525C22semidirect
120. #2524C22semidirect
121. #2524C22semidirect
124. #2522C22semidirect
125. #2520C22semidirect
126. #2520C22semidirect
127. #2519C22semidirect
132. #2515C22semidirect
133. #2514C22semidirect
134. #2514C22semidirect
135. #2514C22semidirect
136. #2511C22semidirect
137. #2511C22semidirect
139. #2509C22semidirect
140. #2509C22semidirect
141. #2508C22semidirect
142. #2508C22semidirect
143. #2507C22semidirect
144. #2506C22semidirect
146. #2497C22semidirect
147. #2496C22semidirect
149. #2495C22semidirect
151. #2494C22semidirect
154. #2492C22semidirect
155. #2492C22semidirect
157. #2489C22semidirect
158. #2489C22semidirect
162. #2478C22semidirect
167. #2453C22semidirect
181. #2402C22semidirect
182. #2402C22semidirect
185. #2401C22semidirect
187. #2396C22semidirect
197. #2370C22semidirect
198. #2370C22semidirect
199. #2369C22semidirect
201. #2365C22semidirect
204. #2362C22semidirect
205. #2362C22semidirect
209. #2360C22semidirect
210. #2360C22semidirect
215. #2356C22semidirect
216. #2356C22semidirect
217. #2355C22semidirect
218. #2355C22semidirect
225. #2347C22semidirect
226. #2346C22semidirect
227. #2345C22semidirect
229. #2344C22semidirect
233. #2331C22semidirect
234. #2330C22semidirect
235. #2327C22semidirect
236. #2326C22semidirect
241. #2320C22semidirect
242. #2320C22semidirect
243. #2320C22semidirect
244. #2319C22semidirect
255. C4×C4⋊Q8C22semidirect
256. C4×C4⋊Q8C22semidirect
257. C4×#125C22semidirect
258. C4×#124C22semidirect
267. #2295C22semidirect
268. #2295C22semidirect
269. #2295C22semidirect
272. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#360692
#360682
#360062
#359992
#359932
#359842
#358042
#358032
#357952
#357942
#357262
#357202
#353402
#353232
#353142
#353132
#353122
#353062
#352992
#352912
#352692
#352672
#352652
#352532
#346352
#346292
#346192
C2×#26252
#342762
#342722
#342542
#342532
#342032
#342022
#339962