Finite Group Databasebeta

← #7632742

Subgroups — #7632742

Order 512.

5170 conjugacy classes of subgroups.

The subgroup lattice has 1701 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36515C212yesmaximal, complemented
2#36487C212yesmaximal, complemented
3#36420C212yesmaximal, complemented
4#36320C214yesmaximal, complemented
5#36255C212yesmaximal, complemented
6#36248C214yesmaximal, complemented
7#36037C212yesmaximal, complemented
8#35942C214yesmaximal, complemented
9#35848C214yesmaximal, complemented
10#35838C212yesmaximal, complemented
11#35745C212yesmaximal, complemented
12#35710C212yesmaximal, complemented
13#35658C212yesmaximal, complemented
14#35630C211yesmaximal, characteristic, complemented
15#35619C211yesmaximal, characteristic, complemented
16#35615C212yesmaximal, complemented
17#35610C212yesmaximal, complemented
18#35561C212yesmaximal, complemented
19#35558C211yesmaximal, characteristic, complemented
20#35531C211yesmaximal, characteristic
21#35327C211yesmaximal, characteristic
22#35219C212yesmaximal, complemented
23#35188C212yesmaximal, complemented
24#35181C211yesmaximal, characteristic, complemented
25#34952C211yesmaximal, characteristic, complemented
26#34918C212yesmaximal, complemented
27#34902C212yesmaximal, complemented
28C2×#2592C211yesmaximal, characteristic, complemented
29#34276C211yesmaximal, characteristic, complemented
30#34275C211yesmaximal, characteristic
31#34255C211yesmaximal, characteristic, complemented
32#34254C211yesmaximal, characteristic, complemented
33#34211C211yesmaximal, characteristic, complemented
34Q8×#117C211yesmaximal, characteristic, complemented
35C4×#520C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C22×#124C2211yescharacteristic
39C2×#520C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C2×#518C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic
45#2866C2214yescomplemented
46#2865C2214yescomplemented
47#2853C2214yescomplemented
48#2852C2214yescomplemented
49#2851C2214yes—
50#2850C2212yes—
51#2850C2212yes—
52#2654C2214yescomplemented
53#2653C2214yescomplemented
54#2650C2214yescomplemented
55#2649C2214yescomplemented
56#2646C2214yes—
57#2620C2212yes—
58#2620C2212yes—
59#2597C2214yescomplemented
60#2596C2214yescomplemented
61#2596C2214yescomplemented
62#2595C2214yescomplemented
63#2594C2214yescomplemented
64#2594C2214yescomplemented
65#2592C2212yes—
66#2592C2212yes—
67#2592C2212yes—
68#2592C2212yes—
69#2592C2212yes—
70#2592C2212yes—
71#2592C2212yes—
72#2592C2212yes—
73#2589C2214yescomplemented
74#2587C2214yescomplemented
75#2582C2211yescharacteristic, complemented
76#2582C2211yescharacteristic, complemented
77#2581C2211yescharacteristic, complemented
78#2581C2211yescharacteristic, complemented
79#2580C2211yescharacteristic, complemented
80#2580C2211yescharacteristic, complemented
81#2579C2212yes—
82#2579C2212yes—
83#2578C2214yescomplemented
84#2578C2214yescomplemented
85#2577C2214yescomplemented
86#2576C2214yescomplemented
87#2576C2214yescomplemented
88#2575C2214yescomplemented
89#2574C2214yescomplemented
90#2573C2214yescomplemented
91#2572C2214yescomplemented
92#2571C2212yescomplemented
93#2571C2212yescomplemented
94#2570C2212yescomplemented
95#2570C2212yescomplemented
96#2570C2212yescomplemented
97#2570C2212yescomplemented
98#2560C2214yescomplemented
99#2558C2214yescomplemented
100#2553C2214yescomplemented
101#2552C2212yescomplemented
102#2552C2212yescomplemented
103#2545C2212yes—
104#2545C2212yes—
105#2544C2212yes—
106#2544C2212yes—
107#2538C2211yescharacteristic, complemented
108#2538C2211yescharacteristic, complemented
109#2534C2214yes—
110#2534C2214yes—
111#2532C2214yescomplemented
112#2532C2214yescomplemented
113#2531C2214yescomplemented
114#2530C2214yescomplemented
115#2529C2214yescomplemented
116#2529C2214yescomplemented
117#2527C2214yescomplemented
118#2526C2214yescomplemented
119#2525C2214yescomplemented
120#2525C2214yescomplemented
121#2522C2214yescomplemented
122#2519C2214yescomplemented
123#2518C2214yescomplemented
124#2518C2214yescomplemented
125#2516C2214yescomplemented
126#2515C2214yescomplemented
127#2514C2212yescomplemented
128#2514C2212yescomplemented
129#2514C2212yescomplemented
130#2514C2212yescomplemented
131#2513C2212yes—
132#2513C2212yes—
133#2513C2212yes—
134#2513C2212yes—
135#2512C2212yes—
136#2512C2212yes—
137#2512C2212yes—
138#2512C2212yes—
139#2511C2212yescomplemented
140#2511C2212yescomplemented
141#2511C2212yescomplemented
142#2511C2212yescomplemented
143#2510C2214yescomplemented
144#2504C2212yes—
145#2503C2212yescomplemented
146#2502C2212yescomplemented
147#2501C2212yes—
148#2500C2212yes—
149#2500C2212yes—
150#2499C2212yescomplemented
151#2499C2212yescomplemented
152#2493C2214yes—
153#2493C2214yes—
154#2488C2214yescomplemented
155#2487C2212yes—
156#2480C2214yes—
157#2480C2214yes—
158#2478C2214yescomplemented
159#2477C2214yescomplemented
160#2475C2214yescomplemented
161#2470C2214yescomplemented
162#2469C2214yescomplemented
163#2466C2214yescomplemented
164#2460C2214yescomplemented
165#2458C2214yescomplemented
166#2450C2214yescomplemented
167#2448C2212yes—
168#2448C2212yes—
169#2447C2212yescomplemented
170#2447C2212yescomplemented
171#2446C2212yescomplemented
172#2446C2212yescomplemented
173#2445C2212yes—
174#2445C2212yes—
175#2419C2214yes—
176#2419C2214yes—
177#2419C2214yescomplemented
178#2418C2214yes—
179#2418C2214yes—
180#2409C2212yes—
181#2401C2214yescomplemented
182#2398C2214yescomplemented
183#2396C2214yescomplemented
184#2396C2212yescomplemented
185#2396C2212yescomplemented
186#2395C2214yescomplemented
187C2×#397C2212yes—
188C2×#393C2212yes—
189#2367C2212yes—
190#2367C2212yes—
191#2367C2212yes—
192#2367C2212yes—
193#2363C2212yes—
194#2363C2212yes—
195#2362C2212yescomplemented
196#2362C2212yescomplemented
197#2361C2212yes—
198#2361C2212yes—
199#2360C2212yescomplemented
200#2360C2212yescomplemented
201#2359C2214yes—
202#2359C2214yes—
203#2358C2214yes—
204#2358C2214yes—
205#2357C2212yes—
206#2357C2212yes—
207#2356C2212yescomplemented
208#2356C2212yescomplemented
209#2355C2211yescharacteristic, complemented
210#2355C2211yescharacteristic, complemented
211#2355C2211yescharacteristic, complemented
212#2355C2211yescharacteristic, complemented
213#2355C2211yescharacteristic, complemented
214#2355C2211yescharacteristic, complemented
215#2355C2212yescomplemented
216#2355C2212yescomplemented
217#2354C2212yes—
218#2354C2212yes—
219Q8×C4⋊C4C2211yescharacteristic, complemented
220Q8×C4⋊C4C2211yescharacteristic, complemented
221#2345C2212yes—
222#2345C2212yes—
223#2345C2212yes—
224#2343C2214yes—
225#2343C2214yes—
226#2342C2214yes—
227#2342C2214yes—
228#2342C2214yes—
229#2342C2214yes—
230Q8×C22⋊C4C2212yes—
231#2328C2212yes—
232#2327C2212yescomplemented
233#2326C2212yes—
234#2326C2212yes—
235#2326C2212yes—
236#2326C2212yescomplemented
237#2320C2212yescomplemented
238#2320C2212yescomplemented
239#2319C2212yes—
240#2319C2212yes—
241#2317C2211yescharacteristic
242#2317C2211yescharacteristic
243#2317C2211yescharacteristic
244#2317C2211yescharacteristic
245#2310C2211yescharacteristic
246#2310C2211yescharacteristic
247#2309C2211yescharacteristic
248#2309C2211yescharacteristic
249C4×C4⋊Q8C2212yescomplemented
250C4×#127C2212yes—
251C4×#126C2214yescomplemented
252C4×#124C2212yes—
253C4×#124C2212yes—
254C4×#124C2212yes—
255C4×#124C2212yescomplemented
256C4×C22⋊Q8C2212yescomplemented
257C4×C22⋊Q8C2212yescomplemented
258C4×#123C2214yescomplemented
259#2298C2214yescomplemented
260#2297C2211yescharacteristic
261#2297C2211yescharacteristic
262#2296C2211yescharacteristic
263#2296C2211yescharacteristic
264#2295C2212yescomplemented
265#2295C2212yescomplemented
266#2295C2212yescomplemented
267#2295C2212yescomplemented
268#2295C2212yescomplemented
269C2×#391C2211yescharacteristic
270C2×#391C2211yescharacteristic
271#2293C2212yes—
272#2293C2212yes—
273C2×#390C2211yescharacteristic
274C2×#390C2211yescharacteristic
275#2290C2214yescomplemented
276C2×#388C2212yes—
277C2×#388C2212yes—
278#2285C2211yescharacteristic
279#2285C2211yescharacteristic
280#2285C2211yescharacteristic
281#2285C2211yescharacteristic
282#2276C2212yescomplemented
283#2275C2214yes—
284#2275C2212yescomplemented
285#2274C2211yescharacteristic
286#2274C2211yescharacteristic
287#2274C2212yescomplemented
288#2274C2212yescomplemented
289C42×Q8C2212yescomplemented
290C42×Q8C2212yescomplemented
291C42×D4C2214yes—
292C42×D4C2212yescomplemented
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2212yescomplemented
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yescomplemented
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C23×D4C2311yescharacteristic
303#536—28no—
304#535—28no—
305C2×C4⋊Q8C2312yes—
306C2×#127C2312yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#125C2314yes—
310C2×#124—28no—
311C2×#124C2312yes—
312C2×#124C2312yes—
313C2×#124C2312yes—
314C2×#124C2312yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#120C2314yes—
327#520—28no—
328#520—28no—
329#519—28no—
330#518—28no—
331C4×#41—28no—
332C2×C4×Q8—28no—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2314yes—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2314yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2314yes—
376C2×#117C2314yes—
377C2×#117C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2312yes—
392C22×C42C2312yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2312yes—
396C22×C42C2314yes—
397C22×C42C2311yescharacteristic
398#401C2314yes—
399#401C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#399C2314yes—
415#399C2312yes—
416#399C2312yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
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#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2312yes—
449#396C2312yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#395C2312yes—
455#395C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#393C2314yes—
465#393C2312yes—
466#393C2314yes—
467#393C2312yes—
468#393C2314yes—
469#393C2314yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#390C2314yes—
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#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#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#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#382C2311yescharacteristic
691#382C2311yescharacteristic
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2314yes—
697#382C2314yes—
698#382C2314yes—
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#379C2314yes—
722#379C2314yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C43C2314yes—
816C43C2312yes—
817C43C2312yes—
818C43C2312yes—
819C25C2412yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41#4118yes—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8—24no—
826C22×Q8—24no—
827C22×Q8—42no—
828C22×Q8—42no—
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×D4—24no—
837C22×D4—24no—
838C22×D4—24no—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2414yes—
844C22×D4C2414yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C4⋊Q8—28no—
863#127—28no—
864#126—48no—
865#126—84no—
866#125—84no—
867#124—28no—
868#124—28no—
869#124—28no—
870#124—28no—
871#124—28no—
872#124—28no—
873#123—216no—
874#123—48no—
875#123—84no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880#121—28no—
881#121—28no—
882#120—216no—
883C4×Q8—28no—
884C4×Q8—28no—
885C4×Q8—28no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—28no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×D4—216no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—216no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—48no—
914C4×D4—84no—
915#117—24no—
916#117—24no—
917#117—24no—
918#117—28no—
919#117—24no—
920#117—24no—
921#117—24no—
922#117—28no—
923#117—216no—
924#117—28no—
925#117—48no—
926#117—84no—
927#117#4118yes—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—24no—
931C2×C4⋊C4—28no—
932C2×C4⋊C4—24no—
933C2×C4⋊C4—24no—
934C2×C4⋊C4—28no—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C22⋊C4—28no—
1006C2×C22⋊C4—28no—
1007C2×C22⋊C4—216no—
1008C2×C22⋊C4—44no—
1009C2×C22⋊C4—44no—
1010C2×C22⋊C4—82no—
1011C2×C22⋊C4—82no—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C42—24no—
1058C2×C42—24no—
1059C2×C42—28no—
1060C2×C42—84no—
1061C2×C42—82no—
1062C2×C42#4118yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180C24—24no—
1181C24—24no—
1182C24—24no—
1183C24—42no—
1184C24—42no—
1185C24—42no—
1186C24—42no—
1187C24C2514yes—
1188C24C2512yes—
1189C24C2511yescharacteristic
1190#41—232no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×Q8—416no—
1212C2×Q8—416no—
1213C2×Q8C2×#4114yes—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—28no—
1217C2×D4—28no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—416no—
1231C2×D4C2×#4118yes—
1232C2×D4C2×#4114yes—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—28no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—28no—
1250C22×C4—28no—
1251C22×C4—28no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—41no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4C2×#4118yes—
1279C22×C4C2×#4114yes—
1280C22×C4C2×#4114yes—
1281C22×C4C2×#4114yes—
1282C22×C4C2×#4114yes—
1283C22×C4C2×#4114yes—
1284C22×C4C2512yes—
1285C22×C4C2514yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2514yes—
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—28no—
1345C4⋊C4—28no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—28no—
1351C4⋊C4—28no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4C2×#4114yes—
1385C4⋊C4C2×#4114yes—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4C2×#4118yes—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—24no—
1443C42—28no—
1444C42—28no—
1445C42—24no—
1446C42—24no—
1447C42—28no—
1448C42—28no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—42no—
1454C42—44no—
1455C42—44no—
1456C42—44no—
1457C42—44no—
1458C42—42no—
1459C42—42no—
1460C42—42no—
1461C42—44no—
1462C42—42no—
1463C42—42no—
1464C42—42no—
1465C42—42no—
1466C42—42no—
1467C42—42no—
1468C42—44no—
1469C42C2×#4114yes—
1470C42C2×#4114yes—
1471C42C2×#4114yes—
1472C42C2×#4114yes—
1473C42C2×#4118yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—24no—
1485C23—24no—
1486C23—24no—
1487C23—24no—
1488C23—24no—
1489C23—24no—
1490C23—24no—
1491C23—48no—
1492C23—84no—
1493C23—84no—
1494C23—84no—
1495C23—84no—
1496C23—84no—
1497C23—84no—
1498C23C22×#4114yes—
1499C23C22×#4112yes—
1500C23C22×#4112yes—
1501C23C22×#4112yes—
1502C23C2611yescharacteristic
1503Q8—28no—
1504Q8—28no—
1505Q8—44no—
1506Q8—44no—
1507Q8—44no—
1508Q8—48no—
1509Q8—48no—
1510D4—216no—
1511D4—28no—
1512D4—48no—
1513D4—48no—
1514D4—88no—
1515D4—88no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—216no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—48no—
1603C2×C4—48no—
1604C2×C4—88no—
1605C2×C4—88no—
1606C2×C4—88no—
1607C2×C4—84no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—88no—
1611C2×C4—82no—
1612C2×C4—82no—
1613C2×C4#529116yes—
1614C2×C4C22×#4114yes—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4114yes—
1618C2×C4C22×#4114yes—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4112yes—
1621C2×C4C22×#4112yes—
1622C2×C4C22×#4112yes—
1623C2×C4C22×#4112yes—
1624C2×C4C22×#4112yes—
1625C2×C4C22×#4112yes—
1626C2×C4C22×#4112yes—
1627C2×C4#58512yes—
1628C2×C4#58512yes—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—24no—
1636C22—24no—
1637C22—24no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—44no—
1643C22—44no—
1644C22—44no—
1645C22—44no—
1646C22—44no—
1647C22—44no—
1648C22—44no—
1649C22—168no—
1650C22C2×#52914yes—
1651C22C23×#4111yescharacteristic
1652C22C23×#4111yescharacteristic
1653C22C23×#4111yescharacteristic
1654C22C2×#58511yescharacteristic
1655C22C2×#58511yescharacteristic
1656C22H(7,𝔽2)11yescharacteristic
1657C222−1+611yescharacteristic
1658C4—24no—
1659C4—24no—
1660C4—22no—
1661C4—22no—
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—22no—
1666C4—24no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—44no—
1676C4—44no—
1677C4—42no—
1678C4—42no—
1679C4—41no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—44no—
1688C4C2×#52914yes—
1689C4C2×#52914yes—
1690C2—24no—
1691C2—44no—
1692C2—84no—
1693C2C22×#52911yescharacteristic
1694C2#6281411yescharacteristic
1695C2#6285611yescharacteristic
1696C2#6299511yescharacteristic
1697C2#6299511yescharacteristic
1698C2#6301011yescharacteristic
1699C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36515C2semidirect
2. #36487C2semidirect
3. #36420C2semidirect
4. #36320C2semidirect
5. #36255C2semidirect
6. #36248C2semidirect
7. #36037C2semidirect
8. #35942C2semidirect
9. #35848C2semidirect
10. #35838C2semidirect
11. #35745C2semidirect
12. #35710C2semidirect
13. #35658C2semidirect
14. #35630C2semidirect
15. #35619C2semidirect
16. #35615C2semidirect
17. #35610C2semidirect
18. #35561C2semidirect
19. #35558C2semidirect
22. #35219C2semidirect
23. #35188C2semidirect
24. #35181C2semidirect
25. #34952C2semidirect
26. #34918C2semidirect
27. #34902C2semidirect
28. C2×#2592C2semidirect
29. #34276C2semidirect
31. #34255C2semidirect
32. #34254C2semidirect
33. #34211C2semidirect
34. Q8×#117C2semidirect
35. C4×#520C2semidirect
45. #2866C22semidirect
46. #2865C22semidirect
47. #2853C22semidirect
48. #2852C22semidirect
52. #2654C22semidirect
53. #2653C22semidirect
54. #2650C22semidirect
55. #2649C22semidirect
59. #2597C22semidirect
60. #2596C22semidirect
61. #2596C22semidirect
62. #2595C22semidirect
63. #2594C22semidirect
64. #2594C22semidirect
73. #2589C22semidirect
74. #2587C22semidirect
75. #2582C22semidirect
76. #2582C22semidirect
77. #2581C22semidirect
78. #2581C22semidirect
79. #2580C22semidirect
80. #2580C22semidirect
83. #2578C22semidirect
84. #2578C22semidirect
85. #2577C22semidirect
86. #2576C22semidirect
87. #2576C22semidirect
88. #2575C22semidirect
89. #2574C22semidirect
90. #2573C22semidirect
91. #2572C22semidirect
92. #2571C22semidirect
93. #2571C22semidirect
94. #2570C22semidirect
95. #2570C22semidirect
96. #2570C22semidirect
97. #2570C22semidirect
98. #2560C22semidirect
99. #2558C22semidirect
100. #2553C22semidirect
101. #2552C22semidirect
102. #2552C22semidirect
107. #2538C22semidirect
108. #2538C22semidirect
111. #2532C22semidirect
112. #2532C22semidirect
113. #2531C22semidirect
114. #2530C22semidirect
115. #2529C22semidirect
116. #2529C22semidirect
117. #2527C22semidirect
118. #2526C22semidirect
119. #2525C22semidirect
120. #2525C22semidirect
121. #2522C22semidirect
122. #2519C22semidirect
123. #2518C22semidirect
124. #2518C22semidirect
125. #2516C22semidirect
126. #2515C22semidirect
127. #2514C22semidirect
128. #2514C22semidirect
129. #2514C22semidirect
130. #2514C22semidirect
139. #2511C22semidirect
140. #2511C22semidirect
141. #2511C22semidirect
142. #2511C22semidirect
143. #2510C22semidirect
145. #2503C22semidirect
146. #2502C22semidirect
150. #2499C22semidirect
151. #2499C22semidirect
154. #2488C22semidirect
158. #2478C22semidirect
159. #2477C22semidirect
160. #2475C22semidirect
161. #2470C22semidirect
162. #2469C22semidirect
163. #2466C22semidirect
164. #2460C22semidirect
165. #2458C22semidirect
166. #2450C22semidirect
169. #2447C22semidirect
170. #2447C22semidirect
171. #2446C22semidirect
172. #2446C22semidirect
177. #2419C22semidirect
181. #2401C22semidirect
182. #2398C22semidirect
183. #2396C22semidirect
184. #2396C22semidirect
185. #2396C22semidirect
186. #2395C22semidirect
195. #2362C22semidirect
196. #2362C22semidirect
199. #2360C22semidirect
200. #2360C22semidirect
207. #2356C22semidirect
208. #2356C22semidirect
209. #2355C22semidirect
210. #2355C22semidirect
211. #2355C22semidirect
212. #2355C22semidirect
213. #2355C22semidirect
214. #2355C22semidirect
215. #2355C22semidirect
216. #2355C22semidirect
219. Q8×C4⋊C4C22semidirect
220. Q8×C4⋊C4C22semidirect
232. #2327C22semidirect
236. #2326C22semidirect
237. #2320C22semidirect
238. #2320C22semidirect
249. C4×C4⋊Q8C22semidirect
251. C4×#126C22semidirect
255. C4×#124C22semidirect
256. C4×C22⋊Q8C22semidirect
257. C4×C22⋊Q8C22semidirect
258. C4×#123C22semidirect
259. #2298C22semidirect
264. #2295C22semidirect
265. #2295C22semidirect
266. #2295C22semidirect
267. #2295C22semidirect
268. #2295C22semidirect
275. #2290C22semidirect
282. #2276C22semidirect
284. #2275C22semidirect
287. #2274C22semidirect
288. #2274C22semidirect
289. C42×Q8C22semidirect
290. C42×Q8C22semidirect
292. C42×D4C22semidirect
296. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#365152
#364872
#364202
#363202
#362552
#362482
#360372
#359422
#358482
#358382
#357452
#357102
#356582
#356302
#356192
#356152
#356102
#355612
#355582
#355312
#353272
#352192
#351882
#351812
#349522
#349182
#349022
C2×#25922
#342762
#342752
#342552
#342542
#342112
Q8×#1172
C4×#5202