Finite Group Databasebeta

← #7632776

Subgroups — #7632776

Order 512.

4917 conjugacy classes of subgroups.

The subgroup lattice has 1639 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36554C212yesmaximal, complemented
2#36491C212yesmaximal, complemented
3#36408C212yesmaximal, complemented
4#36344C214yesmaximal
5#36311C212yesmaximal, complemented
6#36307C214yesmaximal, complemented
7#36023C214yesmaximal, complemented
8#35919C212yesmaximal, complemented
9#35901C212yesmaximal, complemented
10#35899C212yesmaximal, complemented
11#35886C212yesmaximal, complemented
12#35824C214yesmaximal
13#35674C211yesmaximal, characteristic, complemented
14#35672C211yesmaximal, characteristic
15#35650C212yesmaximal, complemented
16#35646C212yesmaximal, complemented
17#35645C212yesmaximal, complemented
18#35644C211yesmaximal, characteristic
19#35594C212yesmaximal, complemented
20#35585C211yesmaximal, characteristic, complemented
21#35313C211yesmaximal, characteristic, complemented
22#35217C212yesmaximal, complemented
23#35204C212yesmaximal, complemented
24#35154C211yesmaximal, characteristic, complemented
25#34975C212yesmaximal, complemented
26#34916C212yesmaximal, complemented
27#34814C211yesmaximal, characteristic
28C2×#2429C211yesmaximal, characteristic
29#34272C211yesmaximal, characteristic, complemented
30#34254C211yesmaximal, characteristic, complemented
31#34209C211yesmaximal, characteristic, complemented
32#34203C211yesmaximal, characteristic
33#34203C211yesmaximal, characteristic
34#34109C211yesmaximal, characteristic
35C4×#519C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C22×C4⋊Q8C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C2×#519C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2866C2214yes—
46#2865C2214yes—
47#2864C2214yescomplemented
48#2863C2212yescomplemented
49#2863C2214yescomplemented
50#2863C2212yescomplemented
51#2855C2214yes—
52#2655C2214yescomplemented
53#2655C2214yescomplemented
54#2654C2214yes—
55#2650C2214yes—
56#2645C2212yescomplemented
57#2645C2212yescomplemented
58#2627C2214yes—
59#2596C2214yes—
60#2596C2214yes—
61#2594C2214yes—
62#2594C2214yes—
63#2590C2214yescomplemented
64#2590C2214yescomplemented
65#2589C2214yes—
66#2588C2214yescomplemented
67#2588C2214yescomplemented
68#2587C2214yes—
69#2585C2214yescomplemented
70#2585C2214yescomplemented
71#2577C2214yes—
72#2575C2214yes—
73#2574C2214yes—
74#2573C2214yes—
75#2569C2214yes—
76#2561C2214yes—
77#2533C2214yescomplemented
78#2533C2214yescomplemented
79#2533C2214yescomplemented
80#2533C2214yescomplemented
81#2532C2214yes—
82#2532C2214yes—
83#2530C2214yes—
84#2529C2214yes—
85#2529C2214yes—
86#2528C2214yescomplemented
87#2528C2214yescomplemented
88#2528C2214yescomplemented
89#2528C2214yescomplemented
90#2527C2214yes—
91#2525C2214yes—
92#2525C2214yes—
93#2524C2214yescomplemented
94#2524C2214yescomplemented
95#2524C2214yescomplemented
96#2524C2214yescomplemented
97#2522C2214yes—
98#2520C2214yescomplemented
99#2520C2214yescomplemented
100#2519C2214yes—
101#2515C2214yes—
102#2514C2214yescomplemented
103#2514C2212yescomplemented
104#2514C2212yescomplemented
105#2511C2212yescomplemented
106#2511C2212yescomplemented
107#2509C2212yescomplemented
108#2509C2212yescomplemented
109#2509C2214yescomplemented
110#2508C2212yescomplemented
111#2508C2212yescomplemented
112#2508C2214yescomplemented
113#2507C2212yescomplemented
114#2507C2212yescomplemented
115#2506C2212yescomplemented
116#2506C2212yescomplemented
117#2503C2214yes—
118#2497C2211yescharacteristic
119#2497C2211yescharacteristic
120#2496C2211yescharacteristic
121#2496C2211yescharacteristic
122#2495C2211yescharacteristic
123#2495C2211yescharacteristic
124#2494C2211yescharacteristic
125#2494C2211yescharacteristic
126#2493C2212yes—
127#2493C2214yes—
128#2493C2212yes—
129#2493C2214yes—
130#2492C2212yes—
131#2492C2212yes—
132#2492C2212yes—
133#2492C2212yes—
134#2489C2212yes—
135#2489C2212yes—
136#2489C2212yes—
137#2489C2212yes—
138#2484C2214yes—
139#2484C2214yes—
140#2484C2214yes—
141#2482C2214yes—
142#2480C2212yes—
143#2480C2212yes—
144#2478C2214yes—
145#2475C2214yes—
146#2469C2214yes—
147#2453C2214yescomplemented
148#2453C2212yescomplemented
149#2453C2212yescomplemented
150#2453C2212yescomplemented
151#2453C2212yescomplemented
152#2451C2212yescomplemented
153#2451C2212yescomplemented
154#2451C2212yescomplemented
155#2451C2212yescomplemented
156#2446C2212yescomplemented
157#2446C2212yescomplemented
158#2446C2212yescomplemented
159#2446C2212yescomplemented
160#2446C2212yescomplemented
161#2446C2212yescomplemented
162#2446C2212yescomplemented
163#2446C2212yescomplemented
164#2442C2214yes—
165#2429C2212yes—
166#2429C2212yes—
167#2429C2212yes—
168#2429C2212yes—
169#2429C2212yes—
170#2429C2212yes—
171#2429C2212yes—
172#2429C2212yes—
173#2423C2212yes—
174#2423C2212yes—
175#2423C2212yes—
176#2423C2212yes—
177#2421C2212yes—
178#2421C2212yes—
179#2421C2212yes—
180#2421C2212yes—
181#2402C2214yescomplemented
182#2402C2214yescomplemented
183#2401C2212yes—
184#2401C2214yes—
185#2401C2212yes—
186#2396C2214yes—
187C2×#398C2212yes—
188C2×#396C2212yes—
189#2370C2212yescomplemented
190#2370C2212yescomplemented
191#2369C2212yescomplemented
192#2368C2214yes—
193#2365C2212yescomplemented
194#2365C2212yescomplemented
195#2365C2212yescomplemented
196#2365C2212yescomplemented
197#2365C2212yescomplemented
198#2362C2212yes—
199#2362C2212yes—
200#2362C2212yes—
201#2362C2212yes—
202#2360C2212yes—
203#2360C2212yes—
204#2360C2212yes—
205#2360C2212yes—
206#2360C2214yes—
207#2356C2212yescomplemented
208#2356C2212yescomplemented
209#2355C2212yescomplemented
210#2355C2212yescomplemented
211#2347C2211yescharacteristic
212#2347C2211yescharacteristic
213#2346C2211yescharacteristic
214#2346C2211yescharacteristic
215#2345C2211yescharacteristic
216#2345C2211yescharacteristic
217#2344C2211yescharacteristic
218#2344C2211yescharacteristic
219#2344C2214yes—
220#2344C2214yes—
221#2344C2214yes—
222#2344C2214yes—
223#2343C2212yes—
224#2343C2212yes—
225#2343C2214yes—
226#2343C2214yes—
227#2342C2212yes—
228#2342C2212yes—
229#2342C2214yes—
230#2342C2214yes—
231#2331C2212yescomplemented
232#2330C2212yescomplemented
233#2327C2212yescomplemented
234#2327C2212yescomplemented
235#2323C2212yes—
236#2323C2212yes—
237#2323C2212yes—
238#2323C2212yes—
239#2320C2212yescomplemented
240#2320C2212yescomplemented
241#2317C2211yescharacteristic
242#2317C2211yescharacteristic
243#2316C2211yescharacteristic
244#2316C2211yescharacteristic
245#2310C2211yescharacteristic
246#2310C2211yescharacteristic
247#2310C2211yescharacteristic
248#2310C2211yescharacteristic
249#2310C2211yescharacteristic
250C4×C4⋊Q8C2212yescomplemented
251C4×C4⋊Q8C2212yescomplemented
252C4×C4⋊Q8C2212yescomplemented
253C4×#125C2212yescomplemented
254C4×#125C2214yescomplemented
255C4×#126C2212yes—
256C4×#126C2212yes—
257C4×#126C2214yes—
258C4×C22⋊Q8C2212yes—
259C4×C22⋊Q8C2212yes—
260C4×C22⋊Q8C2212yes—
261C4×C22⋊Q8C2212yes—
262#2298C2212yes—
263#2298C2214yes—
264#2298C2212yes—
265#2296C2211yescharacteristic
266#2296C2211yescharacteristic
267#2296C2211yescharacteristic
268#2296C2211yescharacteristic
269#2295C2212yescomplemented
270#2295C2214yescomplemented
271#2295C2212yescomplemented
272C2×#391C2211yescharacteristic
273C2×#389C2211yescharacteristic
274C2×#389C2212yes—
275C2×#388C2212yes—
276#2285C2211yescharacteristic
277#2283C2212yes—
278#2280C2211yescharacteristic
279#2280C2211yescharacteristic
280#2280C2211yescharacteristic
281#2276C2212yescomplemented
282#2276C2212yescomplemented
283#2276C2212yescomplemented
284#2276C2212yescomplemented
285#2274C2211yescharacteristic
286#2274C2211yescharacteristic
287#2274C2211yescharacteristic
288#2274C2214yes—
289C42×Q8C2212yescomplemented
290C42×Q8C2212yescomplemented
291C42×Q8C2212yescomplemented
292C42×Q8C2212yescomplemented
293C4×#117C2212yes—
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2214yes—
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#544—28no—
303C2×C4⋊Q8—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×C22⋊Q8—28no—
316C2×C22⋊Q8—28no—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326#519—28no—
327#519—28no—
328#519—28no—
329C2×C4×Q8—28no—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2314yes—
347C2×#117—28no—
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2314yes—
357C2×#117C2314yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2314yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2311yescharacteristic
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C42C2312yes—
381C22×C42C2312yes—
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384#401C2314yes—
385#401C2314yes—
386#401C2312yes—
387#401C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#399C2314yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2312yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2312yes—
450#396C2314yes—
451#396C2314yes—
452#395C2314yes—
453#395C2314yes—
454#393C2314yes—
455#393C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
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#391C2312yes—
477#391C2314yes—
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#389C2311yescharacteristic
488#389C2312yes—
489#389C2314yes—
490#389C2314yes—
491#389C2311yescharacteristic
492#389C2314yes—
493#389C2314yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2314yes—
519#389C2311yescharacteristic
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#388C2314yes—
539#388C2312yes—
540#388C2312yes—
541#388C2314yes—
542#388C2312yes—
543#388C2314yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2314yes—
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#388C2312yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2312yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#387C2312yes—
573#387C2314yes—
574#387C2312yes—
575#387C2312yes—
576#387C2314yes—
577#387C2312yes—
578#387C2312yes—
579#387C2314yes—
580#387C2312yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
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#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#385C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2312yes—
650#385C2312yes—
651#385C2314yes—
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#384C2311yescharacteristic
657#384C2311yescharacteristic
658#384C2312yes—
659#384C2312yes—
660#383C2312yes—
661#383C2314yes—
662#383C2312yes—
663#383C2314yes—
664#383C2314yes—
665#383C2312yes—
666#383C2312yes—
667#383C2314yes—
668#382C2312yes—
669#382C2314yes—
670#382C2312yes—
671#382C2314yes—
672#382C2314yes—
673#382C2311yescharacteristic
674#382C2311yescharacteristic
675#382C2312yes—
676#382C2312yes—
677#382C2314yes—
678#382C2314yes—
679#381C2314yes—
680#381C2314yes—
681#381C2314yes—
682#381C2314yes—
683#381C2314yes—
684#381C2312yes—
685#381C2312yes—
686#381C2312yes—
687#381C2312yes—
688#381C2312yes—
689#380C2312yes—
690#380C2314yes—
691#380C2314yes—
692#380C2312yes—
693#380C2312yes—
694#380C2311yescharacteristic
695#380C2311yescharacteristic
696#380C2311yescharacteristic
697#380C2311yescharacteristic
698#380C2312yes—
699#380C2311yescharacteristic
700#380C2311yescharacteristic
701#380C2311yescharacteristic
702#380C2311yescharacteristic
703#380C2311yescharacteristic
704#380C2311yescharacteristic
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#379C2312yes—
708#379C2312yes—
709#379C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2311yescharacteristic
773C4×C22⋊C4C2311yescharacteristic
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2311yescharacteristic
812C2×#95C2311yescharacteristic
813C2×#95C2312yes—
814C43C2312yes—
815C43C2314yes—
816C43C2312yes—
817C43C2314yes—
818C43C2312yes—
819C25C2411yescharacteristic
820C22×Q8—24no—
821C22×Q8—24no—
822C22×Q8—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8#4118yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2414yes—
831C23×C4—24no—
832C23×C4—24no—
833C23×C4—24no—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C4⋊Q8—28no—
851C4⋊Q8—28no—
852C4⋊Q8—28no—
853C4⋊Q8—28no—
854C4⋊Q8—28no—
855C4⋊Q8—28no—
856#126—28no—
857#126—44no—
858#125—28no—
859#125—28no—
860#125—48no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—28no—
865C22⋊Q8—216no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—28no—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—28no—
878C4×Q8—28no—
879C4×Q8—28no—
880C4×Q8—28no—
881C4×Q8—28no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—28no—
885C4×Q8—28no—
886C4×Q8—48no—
887#117—24no—
888#117—216no—
889#117—24no—
890#117—24no—
891#117—24no—
892#117—24no—
893#117—24no—
894#117—24no—
895#117—24no—
896#117—24no—
897#117—28no—
898#117—216no—
899#117—216no—
900#117—28no—
901#117—28no—
902#117—44no—
903#117#4118yes—
904C2×C4⋊C4—28no—
905C2×C4⋊C4—28no—
906C2×C4⋊C4—28no—
907C2×C4⋊C4—24no—
908C2×C4⋊C4—28no—
909C2×C4⋊C4—28no—
910C2×C4⋊C4—24no—
911C2×C4⋊C4—24no—
912C2×C4⋊C4—44no—
913C2×C4⋊C4#4118yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C22⋊C4—28no—
986C2×C22⋊C4—28no—
987C2×C22⋊C4—28no—
988C2×C22⋊C4—24no—
989C2×C22⋊C4—42no—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C42—28no—
1025C2×C42—24no—
1026C2×C42—24no—
1027C2×C42—28no—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2414yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2414yes—
1075#95C2414yes—
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164C24—22no—
1165C24—22no—
1166C24—22no—
1167C24—22no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24C2511yescharacteristic
1172C24C2511yescharacteristic
1173C24C2511yescharacteristic
1174C2×Q8—232no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—28no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—416no—
1189C2×Q8C2×#4118yes—
1190C2×Q8C2×#4118yes—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—42no—
1228C22×C4—41no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—41no—
1233C22×C4—42no—
1234C22×C4—416no—
1235C22×C4C2×#4118yes—
1236C22×C4C2×#4118yes—
1237C22×C4C2×#4114yes—
1238C22×C4C2×#4114yes—
1239C22×C4C2×#4114yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2514yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4C2×#4114yes—
1340C4⋊C4C2×#4114yes—
1341C4⋊C4C2×#4118yes—
1342C4⋊C4C2×#4118yes—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—22no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4C2×#4118yes—
1376C22⋊C42−1+414yes—
1377C42—24no—
1378C42—24no—
1379C42—24no—
1380C42—28no—
1381C42—22no—
1382C42—22no—
1383C42—28no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—28no—
1391C42—28no—
1392C42—28no—
1393C42—28no—
1394C42—24no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—28no—
1399C42—28no—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—24no—
1406C42—42no—
1407C42—42no—
1408C42—42no—
1409C42—44no—
1410C42—42no—
1411C42—44no—
1412C42—42no—
1413C42—44no—
1414C42—42no—
1415C42—42no—
1416C42—44no—
1417C42—44no—
1418C42—44no—
1419C42—42no—
1420C42C2×#4118yes—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—44no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—82no—
1443C23—82no—
1444C23—82no—
1445C23C22×#4112yes—
1446C23C22×#4112yes—
1447C23C22×#4112yes—
1448C23C2×2−1+412yes—
1449C23C2611yescharacteristic
1450Q8—216no—
1451Q8—216no—
1452Q8—48no—
1453Q8—48no—
1454Q8—88no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—24no—
1469C2×C4—216no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—48no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—48no—
1544C2×C4—44no—
1545C2×C4—48no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—44no—
1550C2×C4—84no—
1551C2×C4—82no—
1552C2×C4—84no—
1553C2×C4#529116yes—
1554C2×C4C22×#4114yes—
1555C2×C4C22×#4114yes—
1556C2×C4C22×#4118yes—
1557C2×C4C22×#4118yes—
1558C2×C4C22×#4112yes—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4112yes—
1563C2×C4C22×#4112yes—
1564C2×C4C2×2−1+412yes—
1565C2×C4C2×2−1+412yes—
1566C2×C4#58512yes—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—88no—
1588C22C2×#52914yes—
1589C22C23×#4111yescharacteristic
1590C22C23×#4111yescharacteristic
1591C22C23×#4111yescharacteristic
1592C22C22×2−1+411yescharacteristic
1593C22C2×#58511yescharacteristic
1594C222−1+611yescharacteristic
1595C222−1+611yescharacteristic
1596C4—28no—
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—24no—
1601C4—24no—
1602C4—28no—
1603C4—41no—
1604C4—41no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—42no—
1611C4—41no—
1612C4—41no—
1613C4—42no—
1614C4—42no—
1615C4—41no—
1616C4—44no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—41no—
1624C4—41no—
1625C4—44no—
1626C4C2×#52914yes—
1627C4C2×#52914yes—
1628C2—24no—
1629C2—42no—
1630C2—81no—
1631C2C22×#52911yescharacteristic
1632C2#6280511yescharacteristic
1633C2#6286111yescharacteristic
1634C2#6299111yescharacteristic
1635C2#6299811yescharacteristic
1636C2#6299811yescharacteristic
1637C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC25C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36554C2semidirect
2. #36491C2semidirect
3. #36408C2semidirect
5. #36311C2semidirect
6. #36307C2semidirect
7. #36023C2semidirect
8. #35919C2semidirect
9. #35901C2semidirect
10. #35899C2semidirect
11. #35886C2semidirect
13. #35674C2semidirect
15. #35650C2semidirect
16. #35646C2semidirect
17. #35645C2semidirect
19. #35594C2semidirect
20. #35585C2semidirect
21. #35313C2semidirect
22. #35217C2semidirect
23. #35204C2semidirect
24. #35154C2semidirect
25. #34975C2semidirect
26. #34916C2semidirect
29. #34272C2semidirect
30. #34254C2semidirect
31. #34209C2semidirect
35. C4×#519C2semidirect
47. #2864C22semidirect
48. #2863C22semidirect
49. #2863C22semidirect
50. #2863C22semidirect
52. #2655C22semidirect
53. #2655C22semidirect
56. #2645C22semidirect
57. #2645C22semidirect
63. #2590C22semidirect
64. #2590C22semidirect
66. #2588C22semidirect
67. #2588C22semidirect
69. #2585C22semidirect
70. #2585C22semidirect
77. #2533C22semidirect
78. #2533C22semidirect
79. #2533C22semidirect
80. #2533C22semidirect
86. #2528C22semidirect
87. #2528C22semidirect
88. #2528C22semidirect
89. #2528C22semidirect
93. #2524C22semidirect
94. #2524C22semidirect
95. #2524C22semidirect
96. #2524C22semidirect
98. #2520C22semidirect
99. #2520C22semidirect
102. #2514C22semidirect
103. #2514C22semidirect
104. #2514C22semidirect
105. #2511C22semidirect
106. #2511C22semidirect
107. #2509C22semidirect
108. #2509C22semidirect
109. #2509C22semidirect
110. #2508C22semidirect
111. #2508C22semidirect
112. #2508C22semidirect
113. #2507C22semidirect
114. #2507C22semidirect
115. #2506C22semidirect
116. #2506C22semidirect
147. #2453C22semidirect
148. #2453C22semidirect
149. #2453C22semidirect
150. #2453C22semidirect
151. #2453C22semidirect
152. #2451C22semidirect
153. #2451C22semidirect
154. #2451C22semidirect
155. #2451C22semidirect
156. #2446C22semidirect
157. #2446C22semidirect
158. #2446C22semidirect
159. #2446C22semidirect
160. #2446C22semidirect
161. #2446C22semidirect
162. #2446C22semidirect
163. #2446C22semidirect
181. #2402C22semidirect
182. #2402C22semidirect
189. #2370C22semidirect
190. #2370C22semidirect
191. #2369C22semidirect
193. #2365C22semidirect
194. #2365C22semidirect
195. #2365C22semidirect
196. #2365C22semidirect
197. #2365C22semidirect
207. #2356C22semidirect
208. #2356C22semidirect
209. #2355C22semidirect
210. #2355C22semidirect
231. #2331C22semidirect
232. #2330C22semidirect
233. #2327C22semidirect
234. #2327C22semidirect
239. #2320C22semidirect
240. #2320C22semidirect
250. C4×C4⋊Q8C22semidirect
251. C4×C4⋊Q8C22semidirect
252. C4×C4⋊Q8C22semidirect
253. C4×#125C22semidirect
254. C4×#125C22semidirect
269. #2295C22semidirect
270. #2295C22semidirect
271. #2295C22semidirect
281. #2276C22semidirect
282. #2276C22semidirect
283. #2276C22semidirect
284. #2276C22semidirect
289. C42×Q8C22semidirect
290. C42×Q8C22semidirect
291. C42×Q8C22semidirect
292. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#365542
#364912
#364082
#363442
#363112
#363072
#360232
#359192
#359012
#358992
#358862
#358242
#356742
#356722
#356502
#356462
#356452
#356442
#355942
#355852
#353132
#352172
#352042
#351542
#349752
#349162
#348142
C2×#24292
#342722
#342542
#342092
#342032
#341092
C4×#5192