Finite Group Databasebeta

← #7632792

Subgroups — #7632792

Order 512.

5009 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36506C212yesmaximal, complemented
2#36451C212yesmaximal, complemented
3#36256C212yesmaximal, complemented
4#36248C214yesmaximal, complemented
5#36178C212yesmaximal, complemented
6#36171C214yesmaximal, complemented
7#36069C212yesmaximal, complemented
8#36043C214yesmaximal, complemented
9#35984C212yesmaximal, complemented
10#35848C214yesmaximal, complemented
11#35803C212yesmaximal, complemented
12#35720C212yesmaximal, complemented
13#35650C212yesmaximal, complemented
14#35645C212yesmaximal, complemented
15#35639C211yesmaximal, characteristic, complemented
16#35633C211yesmaximal, characteristic
17#35631C212yesmaximal, complemented
18#35630C211yesmaximal, characteristic, complemented
19#35548C212yesmaximal, complemented
20#35544C211yesmaximal, characteristic, complemented
21#35307C211yesmaximal, characteristic, complemented
22#35204C212yesmaximal, complemented
23#35203C212yesmaximal, complemented
24#35159C211yesmaximal, characteristic, complemented
25#34975C212yesmaximal, complemented
26#34913C212yesmaximal, complemented
27C2×#2489C211yesmaximal, characteristic, complemented
28#34742C211yesmaximal, characteristic
29#34276C211yesmaximal, characteristic, complemented
30#34254C211yesmaximal, characteristic, complemented
31#34217C211yesmaximal, characteristic, complemented
32#34203C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic
34#34109C211yesmaximal, characteristic, complemented
35C4×#520C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C22×#125C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2865C2214yes—
46#2864C2214yescomplemented
47#2855C2212yescomplemented
48#2855C2212yescomplemented
49#2853C2214yes—
50#2851C2214yes—
51#2851C2214yescomplemented
52#2655C2214yescomplemented
53#2654C2214yes—
54#2652C2214yescomplemented
55#2649C2214yes—
56#2646C2214yes—
57#2625C2212yescomplemented
58#2625C2212yescomplemented
59#2597C2214yes—
60#2596C2214yes—
61#2594C2214yes—
62#2590C2214yescomplemented
63#2585C2214yescomplemented
64#2579C2214yes—
65#2578C2214yes—
66#2578C2214yes—
67#2577C2214yescomplemented
68#2576C2214yes—
69#2575C2214yes—
70#2575C2214yescomplemented
71#2575C2214yescomplemented
72#2573C2214yes—
73#2573C2214yescomplemented
74#2558C2214yes—
75#2553C2214yes—
76#2534C2214yes—
77#2533C2214yescomplemented
78#2533C2214yescomplemented
79#2531C2214yes—
80#2530C2214yes—
81#2530C2214yescomplemented
82#2529C2214yes—
83#2529C2214yes—
84#2528C2214yescomplemented
85#2528C2214yescomplemented
86#2528C2214yescomplemented
87#2525C2214yes—
88#2525C2214yes—
89#2524C2214yescomplemented
90#2524C2214yescomplemented
91#2524C2214yescomplemented
92#2522C2214yes—
93#2518C2214yes—
94#2517C2214yescomplemented
95#2517C2214yescomplemented
96#2516C2214yes—
97#2515C2214yescomplemented
98#2514C2212yescomplemented
99#2514C2212yescomplemented
100#2514C2212yescomplemented
101#2514C2212yescomplemented
102#2511C2212yescomplemented
103#2511C2212yescomplemented
104#2511C2212yescomplemented
105#2511C2212yescomplemented
106#2510C2214yes—
107#2509C2212yescomplemented
108#2509C2214yescomplemented
109#2509C2212yescomplemented
110#2508C2214yescomplemented
111#2508C2212yescomplemented
112#2508C2212yescomplemented
113#2507C2212yescomplemented
114#2507C2212yescomplemented
115#2506C2212yescomplemented
116#2506C2212yescomplemented
117#2505C2214yescomplemented
118#2497C2212yes—
119#2497C2212yes—
120#2496C2212yes—
121#2496C2212yes—
122#2495C2212yes—
123#2495C2212yes—
124#2495C2214yescomplemented
125#2494C2212yes—
126#2494C2212yes—
127#2494C2214yescomplemented
128#2493C2214yes—
129#2493C2214yes—
130#2493C2214yes—
131#2493C2214yescomplemented
132#2489C2212yes—
133#2489C2212yes—
134#2489C2212yes—
135#2489C2212yes—
136#2489C2212yes—
137#2489C2212yes—
138#2489C2212yes—
139#2489C2212yes—
140#2487C2214yes—
141#2486C2214yes—
142#2480C2214yes—
143#2478C2214yes—
144#2475C2214yes—
145#2466C2214yes—
146#2454C2212yescomplemented
147#2454C2212yescomplemented
148#2453C2212yescomplemented
149#2453C2212yescomplemented
150#2447C2212yescomplemented
151#2447C2212yescomplemented
152#2446C2212yescomplemented
153#2446C2212yescomplemented
154#2442C2212yescomplemented
155#2442C2212yescomplemented
156#2441C2212yescomplemented
157#2441C2212yescomplemented
158#2429C2212yes—
159#2429C2212yes—
160#2427C2212yes—
161#2427C2212yes—
162#2423C2211yescharacteristic
163#2423C2211yescharacteristic
164#2422C2211yescharacteristic
165#2422C2211yescharacteristic
166#2421C2211yescharacteristic
167#2421C2211yescharacteristic
168#2420C2211yescharacteristic
169#2420C2211yescharacteristic
170#2419C2214yes—
171#2419C2214yes—
172#2419C2212yes—
173#2419C2214yes—
174#2419C2212yes—
175#2418C2212yes—
176#2418C2212yes—
177#2417C2212yes—
178#2417C2212yes—
179#2415C2212yes—
180#2415C2212yes—
181#2402C2214yescomplemented
182#2401C2214yes—
183#2401C2214yescomplemented
184#2395C2214yes—
185#2395C2212yes—
186#2395C2212yes—
187C2×#400C2212yes—
188C2×#397C2212yes—
189#2370C2212yescomplemented
190#2370C2212yescomplemented
191#2370C2212yescomplemented
192#2370C2212yescomplemented
193#2362C2212yes—
194#2362C2212yes—
195#2362C2212yescomplemented
196#2362C2212yescomplemented
197#2360C2212yes—
198#2360C2212yes—
199#2360C2212yescomplemented
200#2360C2212yescomplemented
201#2359C2214yes—
202#2359C2214yes—
203#2359C2214yes—
204#2358C2214yes—
205#2356C2212yescomplemented
206#2356C2212yescomplemented
207#2355C2212yescomplemented
208#2355C2212yescomplemented
209#2354C2212yes—
210#2352C2212yes—
211#2352C2212yes—
212D4×C4⋊C4C2212yes—
213#2347C2211yescharacteristic
214#2347C2211yescharacteristic
215#2346C2211yescharacteristic
216#2346C2211yescharacteristic
217#2345C2214yes—
218#2345C2211yescharacteristic
219#2345C2211yescharacteristic
220#2345C2214yes—
221#2344C2211yescharacteristic
222#2344C2211yescharacteristic
223#2344C2214yes—
224#2343C2214yes—
225#2343C2212yes—
226#2343C2212yes—
227#2343C2214yes—
228#2342C2212yes—
229#2342C2214yes—
230#2342C2212yes—
231#2330C2212yescomplemented
232#2330C2212yescomplemented
233#2327C2212yescomplemented
234#2326C2212yescomplemented
235#2324C2212yes—
236#2323C2212yes—
237#2323C2212yes—
238#2323C2212yes—
239#2320C2212yescomplemented
240#2320C2212yescomplemented
241#2317C2211yescharacteristic
242#2317C2211yescharacteristic
243#2317C2211yescharacteristic
244#2316C2211yescharacteristic
245#2316C2211yescharacteristic
246#2316C2211yescharacteristic
247#2311C2211yescharacteristic
248#2310C2211yescharacteristic
249#2310C2211yescharacteristic
250C4×C4⋊Q8C2212yescomplemented
251C4×#125C2212yescomplemented
252C4×#125C2212yescomplemented
253C4×#125C2214yescomplemented
254C4×#126C2214yes—
255C4×#124C2212yescomplemented
256C4×C22⋊Q8C2212yes—
257C4×C22⋊Q8C2212yes—
258C4×C22⋊Q8C2212yes—
259C4×#123C2212yes—
260C4×#123C2212yes—
261C4×#121C2212yes—
262#2298C2212yes—
263#2298C2212yes—
264#2297C2211yescharacteristic
265#2296C2211yescharacteristic
266#2296C2211yescharacteristic
267#2296C2211yescharacteristic
268#2295C2212yescomplemented
269#2295C2212yescomplemented
270C2×#391C2211yescharacteristic
271C2×#391C2211yescharacteristic
272#2290C2214yes—
273C2×#388C2212yes—
274#2285C2211yescharacteristic
275#2283C2212yes—
276#2283C2214yescomplemented
277C2×#382C2212yes—
278#2280C2211yescharacteristic
279#2280C2211yescharacteristic
280C2×#380C2211yescharacteristic
281#2276C2212yescomplemented
282#2275C2214yes—
283#2275C2212yescomplemented
284#2274C2211yescharacteristic
285#2274C2211yescharacteristic
286#2274C2211yescharacteristic
287#2274C2212yescomplemented
288#2274C2212yescomplemented
289C42×Q8C2212yescomplemented
290C42×D4C2214yes—
291C42×D4C2212yescomplemented
292C4×#117C2212yes—
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2212yescomplemented
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#536—28no—
303C2×C4⋊Q8C2312yes—
304C2×#126C2314yes—
305C2×#125—28no—
306C2×#125C2312yes—
307C2×#125C2312yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2314yes—
311C2×#124C2312yes—
312#525—28no—
313C2×#123C2312yes—
314C2×#123C2314yes—
315C2×#123C2312yes—
316C2×#123C2312yes—
317C2×C22⋊Q8—28no—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×#121C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#120C2312yes—
329#520—28no—
330#520—28no—
331#519—28no—
332C4×#41—28no—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×#117—28no—
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2314yes—
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2311yescharacteristic
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2312yes—
385C22×C42C2312yes—
386C22×C42C2312yes—
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2312yes—
390C22×C42C2314yes—
391#401C2314yes—
392#401C2314yes—
393#401C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#399C2312yes—
418#399C2314yes—
419#399C2314yes—
420#399C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2312yes—
462#394C2314yes—
463#391C2311yescharacteristic
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#390C2312yes—
483#390C2314yes—
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2314yes—
491#389C2314yes—
492#389C2314yes—
493#389C2314yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2314yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#388C2312yes—
532#388C2314yes—
533#388C2314yes—
534#388C2312yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2312yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2312yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2312yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2312yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#386C2314yes—
622#386C2312yes—
623#386C2314yes—
624#386C2314yes—
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2312yes—
629#386C2312yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2312yes—
646#385C2312yes—
647#385C2312yes—
648#385C2314yes—
649#385C2312yes—
650#385C2312yes—
651#384C2312yes—
652#384C2312yes—
653#384C2312yes—
654#384C2311yescharacteristic
655#384C2311yescharacteristic
656#383C2314yes—
657#383C2314yes—
658#383C2314yes—
659#383C2314yes—
660#383C2314yes—
661#383C2312yes—
662#383C2312yes—
663#382C2311yescharacteristic
664#382C2311yescharacteristic
665#382C2314yes—
666#382C2312yes—
667#382C2312yes—
668#382C2312yes—
669#382C2314yes—
670#382C2314yes—
671#382C2314yes—
672#382C2314yes—
673#382C2312yes—
674#382C2312yes—
675#382C2314yes—
676#382C2314yes—
677#381C2314yes—
678#381C2314yes—
679#381C2312yes—
680#381C2312yes—
681#381C2312yes—
682#381C2312yes—
683#381C2314yes—
684#381C2312yes—
685#381C2314yes—
686#381C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2314yes—
690#380C2314yes—
691#380C2314yes—
692#380C2314yes—
693#380C2312yes—
694#380C2314yes—
695#380C2311yescharacteristic
696#380C2311yescharacteristic
697#380C2312yes—
698#380C2314yes—
699#380C2314yes—
700#380C2312yes—
701#380C2311yescharacteristic
702#380C2311yescharacteristic
703#380C2312yes—
704#380C2312yes—
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#380C2312yes—
708#380C2312yes—
709#380C2311yescharacteristic
710#380C2311yescharacteristic
711#380C2312yes—
712#379C2312yes—
713#379C2312yes—
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⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C22⋊C4C2312yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2312yes—
808C2×#95C2311yescharacteristic
809C2×#95C2311yescharacteristic
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2314yes—
816C43C2314yes—
817C43C2312yes—
818C43C2312yes—
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41#4118yes—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8—24no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C23×C4—24no—
834C23×C4—24no—
835C23×C4—24no—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C4⋊Q8—28no—
858#126—48no—
859#125—28no—
860#125—28no—
861#125—28no—
862#125—28no—
863#125—48no—
864#124—28no—
865#123—28no—
866#123—216no—
867#123—44no—
868#123—44no—
869C22⋊Q8—24no—
870C22⋊Q8—24no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877#121—24no—
878#121—24no—
879#120—28no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—28no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—28no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—28no—
891C4×D4—24no—
892C4×D4—216no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—216no—
897C4×D4—28no—
898C4×D4—48no—
899#117—24no—
900#117—28no—
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—44no—
914#117—44no—
915#117#4118yes—
916C2×C4⋊C4—24no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—28no—
924C2×C4⋊C4—28no—
925C2×C4⋊C4#4118yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C22⋊C4—28no—
993C2×C22⋊C4—28no—
994C2×C22⋊C4—42no—
995C2×C22⋊C4—42no—
996C2×C22⋊C4—44no—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C42—28no—
1043C2×C42—24no—
1044C2×C42—24no—
1045C2×C42—28no—
1046C2×C42—48no—
1047C2×C42—44no—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
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#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171C24—22no—
1172C24—22no—
1173C24—22no—
1174C24—22no—
1175C24—41no—
1176C24—41no—
1177C24—41no—
1178C24C2511yescharacteristic
1179C24C2512yes—
1180C24C2511yescharacteristic
1181C24C2511yescharacteristic
1182#41—232no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—416no—
1192C2×Q8C2×#4114yes—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4C2×#4118yes—
1204C2×D4C2×#4114yes—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—28no—
1239C22×C4—28no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—41no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—42no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—416no—
1264C22×C4C2×#4118yes—
1265C22×C4C2×#4118yes—
1266C22×C4C2×#4114yes—
1267C22×C4C2×#4114yes—
1268C22×C4C2×#4114yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—28no—
1333C4⋊C4—28no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4C2×#4114yes—
1363C4⋊C4C2×#4118yes—
1364C4⋊C4C2×#4114yes—
1365C4⋊C4C2×#4118yes—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—22no—
1379C22⋊C4—28no—
1380C22⋊C4—22no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4C2×#4118yes—
1411C42—22no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—22no—
1416C42—24no—
1417C42—24no—
1418C42—22no—
1419C42—24no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—24no—
1426C42—28no—
1427C42—28no—
1428C42—24no—
1429C42—24no—
1430C42—28no—
1431C42—28no—
1432C42—24no—
1433C42—24no—
1434C42—28no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—42no—
1439C42—44no—
1440C42—42no—
1441C42—42no—
1442C42—42no—
1443C42—44no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42C2×#4118yes—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—22no—
1456C23—22no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—21no—
1464C23—22no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—82no—
1478C23—82no—
1479C23—82no—
1480C23C22×#4114yes—
1481C23C22×#4112yes—
1482C23C22×#4112yes—
1483C23C22×#4112yes—
1484C23#58512yes—
1485C23C2611yescharacteristic
1486Q8—28no—
1487Q8—48no—
1488Q8—48no—
1489D4—216no—
1490D4—28no—
1491D4—48no—
1492D4—84no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—24no—
1503C2×C4—216no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
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—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—48no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—48no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—88no—
1587C2×C4—88no—
1588C2×C4—84no—
1589C2×C4—82no—
1590C2×C4—82no—
1591C2×C4—84no—
1592C2×C4—82no—
1593C2×C4—84no—
1594C2×C4—84no—
1595C2×C4#529116yes—
1596C2×C4C22×#4114yes—
1597C2×C4C22×#4114yes—
1598C2×C4C22×#4114yes—
1599C2×C4C22×#4118yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4112yes—
1606C2×C4#58512yes—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—24no—
1614C22—24no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—24no—
1619C22—42no—
1620C22—41no—
1621C22—41no—
1622C22—42no—
1623C22—42no—
1624C22—41no—
1625C22—42no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—88no—
1635C22C2×#52914yes—
1636C22C23×#4111yescharacteristic
1637C22C23×#4111yescharacteristic
1638C22C23×#4111yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22C2×#58511yescharacteristic
1641C222−1+611yescharacteristic
1642C222−1+611yescharacteristic
1643C4—28no—
1644C4—22no—
1645C4—24no—
1646C4—24no—
1647C4—24no—
1648C4—41no—
1649C4—41no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—41no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—41no—
1662C4—41no—
1663C4—44no—
1664C4—42no—
1665C4—42no—
1666C4—44no—
1667C4—42no—
1668C4—42no—
1669C4—41no—
1670C4—41no—
1671C4—44no—
1672C4C2×#52914yes—
1673C4C2×#52914yes—
1674C2—24no—
1675C2—44no—
1676C2—42no—
1677C2—81no—
1678C2C22×#52911yescharacteristic
1679C2#6281011yescharacteristic
1680C2#6286111yescharacteristic
1681C2#6299111yescharacteristic
1682C2#6299311yescharacteristic
1683C2#6299311yescharacteristic
1684C2#6300511yescharacteristic
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. #36506C2semidirect
2. #36451C2semidirect
3. #36256C2semidirect
4. #36248C2semidirect
5. #36178C2semidirect
6. #36171C2semidirect
7. #36069C2semidirect
8. #36043C2semidirect
9. #35984C2semidirect
10. #35848C2semidirect
11. #35803C2semidirect
12. #35720C2semidirect
13. #35650C2semidirect
14. #35645C2semidirect
15. #35639C2semidirect
17. #35631C2semidirect
18. #35630C2semidirect
19. #35548C2semidirect
20. #35544C2semidirect
21. #35307C2semidirect
22. #35204C2semidirect
23. #35203C2semidirect
24. #35159C2semidirect
25. #34975C2semidirect
26. #34913C2semidirect
27. C2×#2489C2semidirect
29. #34276C2semidirect
30. #34254C2semidirect
31. #34217C2semidirect
32. #34203C2semidirect
34. #34109C2semidirect
35. C4×#520C2semidirect
46. #2864C22semidirect
47. #2855C22semidirect
48. #2855C22semidirect
51. #2851C22semidirect
52. #2655C22semidirect
54. #2652C22semidirect
57. #2625C22semidirect
58. #2625C22semidirect
62. #2590C22semidirect
63. #2585C22semidirect
67. #2577C22semidirect
70. #2575C22semidirect
71. #2575C22semidirect
73. #2573C22semidirect
77. #2533C22semidirect
78. #2533C22semidirect
81. #2530C22semidirect
84. #2528C22semidirect
85. #2528C22semidirect
86. #2528C22semidirect
89. #2524C22semidirect
90. #2524C22semidirect
91. #2524C22semidirect
94. #2517C22semidirect
95. #2517C22semidirect
97. #2515C22semidirect
98. #2514C22semidirect
99. #2514C22semidirect
100. #2514C22semidirect
101. #2514C22semidirect
102. #2511C22semidirect
103. #2511C22semidirect
104. #2511C22semidirect
105. #2511C22semidirect
107. #2509C22semidirect
108. #2509C22semidirect
109. #2509C22semidirect
110. #2508C22semidirect
111. #2508C22semidirect
112. #2508C22semidirect
113. #2507C22semidirect
114. #2507C22semidirect
115. #2506C22semidirect
116. #2506C22semidirect
117. #2505C22semidirect
124. #2495C22semidirect
127. #2494C22semidirect
131. #2493C22semidirect
146. #2454C22semidirect
147. #2454C22semidirect
148. #2453C22semidirect
149. #2453C22semidirect
150. #2447C22semidirect
151. #2447C22semidirect
152. #2446C22semidirect
153. #2446C22semidirect
154. #2442C22semidirect
155. #2442C22semidirect
156. #2441C22semidirect
157. #2441C22semidirect
181. #2402C22semidirect
183. #2401C22semidirect
189. #2370C22semidirect
190. #2370C22semidirect
191. #2370C22semidirect
192. #2370C22semidirect
195. #2362C22semidirect
196. #2362C22semidirect
199. #2360C22semidirect
200. #2360C22semidirect
205. #2356C22semidirect
206. #2356C22semidirect
207. #2355C22semidirect
208. #2355C22semidirect
231. #2330C22semidirect
232. #2330C22semidirect
233. #2327C22semidirect
234. #2326C22semidirect
239. #2320C22semidirect
240. #2320C22semidirect
250. C4×C4⋊Q8C22semidirect
251. C4×#125C22semidirect
252. C4×#125C22semidirect
253. C4×#125C22semidirect
255. C4×#124C22semidirect
268. #2295C22semidirect
269. #2295C22semidirect
276. #2283C22semidirect
281. #2276C22semidirect
283. #2275C22semidirect
287. #2274C22semidirect
288. #2274C22semidirect
289. C42×Q8C22semidirect
291. C42×D4C22semidirect
295. C4×#117C22semidirect
297. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#365062
#364512
#362562
#362482
#361782
#361712
#360692
#360432
#359842
#358482
#358032
#357202
#356502
#356452
#356392
#356332
#356312
#356302
#355482
#355442
#353072
#352042
#352032
#351592
#349752
#349132
C2×#24892
#347422
#342762
#342542
#342172
#342032
#342022
#341092
C4×#5202