Finite Group Databasebeta

← #7683732

Subgroups — #7683732

Order 512.

4585 conjugacy classes of subgroups.

The subgroup lattice has 1619 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59511C212yesmaximal, complemented
2#59508C212yesmaximal, complemented
3#59506C212yesmaximal, complemented
4#59505C212yesmaximal, complemented
5#59286C214yesmaximal
6#59284C214yesmaximal, complemented
7#59263C212yesmaximal, complemented
8#59261C212yesmaximal, complemented
9#59256C212yesmaximal, complemented
10#59249C212yesmaximal, complemented
11#45346C212yesmaximal, complemented
12#45304C212yesmaximal, complemented
13#45293C212yesmaximal, complemented
14#45284C212yesmaximal, complemented
15#45210C212yesmaximal, complemented
16#45123C212yesmaximal, complemented
17#45123C212yesmaximal, complemented
18#45055C212yesmaximal, complemented
19#44512C214yesmaximal, complemented
20#43999C214yesmaximal
21#35672C211yesmaximal, characteristic
22#35662C211yesmaximal, characteristic, complemented
23#35627C211yesmaximal, characteristic, complemented
24#35585C211yesmaximal, characteristic, complemented
25#35544C211yesmaximal, characteristic
26#35543C211yesmaximal, characteristic, complemented
27#34814C211yesmaximal, characteristic
28#34739C211yesmaximal, characteristic
29C2×#2421C211yesmaximal, characteristic
30#34254C211yesmaximal, characteristic, complemented
31#34249C211yesmaximal, characteristic, complemented
32#34215C211yesmaximal, characteristic, complemented
33#34203C211yesmaximal, characteristic
34#34187C211yesmaximal, characteristic, complemented
35#34180C211yesmaximal, characteristic
36C2×#533C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic
38C2×#519C2211yescharacteristic
39C2×#519C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41C22×#117C2211yescharacteristic
42#2794C2214yescomplemented
43#2794C2214yescomplemented
44#2793C2214yes—
45#2793C2214yes—
46#2777C2214yes—
47#2775C2214yes—
48#2775C2214yes—
49#2774C2214yescomplemented
50#2774C2214yescomplemented
51#2773C2214yes—
52#2772C2214yes—
53#2770C2214yes—
54#2770C2214yes—
55#2767C2214yescomplemented
56#2767C2214yescomplemented
57#2767C2214yescomplemented
58#2766C2214yescomplemented
59#2766C2214yescomplemented
60#2762C2214yescomplemented
61#2758C2214yescomplemented
62#2754C2214yes—
63#2738C2214yes—
64#2719C2214yescomplemented
65#2698C2214yes—
66#2612C2214yescomplemented
67#2606C2214yescomplemented
68#2596C2214yes—
69#2596C2214yes—
70#2590C2214yescomplemented
71#2582C2212yescomplemented
72#2582C2212yescomplemented
73#2581C2212yescomplemented
74#2581C2212yescomplemented
75#2575C2214yes—
76#2571C2212yescomplemented
77#2571C2212yescomplemented
78#2571C2212yescomplemented
79#2570C2212yescomplemented
80#2570C2212yescomplemented
81#2570C2212yescomplemented
82#2570C2212yescomplemented
83#2570C2214yescomplemented
84#2569C2214yes—
85#2556C2214yes—
86#2552C2212yescomplemented
87#2533C2214yescomplemented
88#2533C2214yescomplemented
89#2533C2214yescomplemented
90#2533C2214yescomplemented
91#2532C2214yes—
92#2530C2214yes—
93#2529C2214yes—
94#2529C2214yes—
95#2529C2214yes—
96#2528C2214yescomplemented
97#2528C2214yescomplemented
98#2528C2214yescomplemented
99#2524C2214yescomplemented
100#2524C2214yescomplemented
101#2524C2214yescomplemented
102#2524C2214yescomplemented
103#2520C2214yescomplemented
104#2519C2214yes—
105#2519C2214yes—
106#2517C2214yes—
107#2515C2214yes—
108#2514C2214yescomplemented
109#2511C2214yescomplemented
110#2509C2212yescomplemented
111#2509C2212yescomplemented
112#2509C2212yescomplemented
113#2509C2212yescomplemented
114#2509C2212yescomplemented
115#2508C2212yescomplemented
116#2508C2212yescomplemented
117#2508C2212yescomplemented
118#2508C2212yescomplemented
119#2508C2212yescomplemented
120#2507C2212yescomplemented
121#2507C2212yescomplemented
122#2507C2212yescomplemented
123#2506C2212yescomplemented
124#2506C2212yescomplemented
125#2506C2212yescomplemented
126#2505C2214yes—
127#2505C2214yes—
128#2505C2214yes—
129#2499C2214yes—
130#2497C2212yes—
131#2497C2211yescharacteristic
132#2497C2212yes—
133#2497C2211yescharacteristic
134#2496C2211yescharacteristic
135#2496C2211yescharacteristic
136#2496C2214yes—
137#2496C2212yes—
138#2496C2212yes—
139#2495C2211yescharacteristic
140#2495C2212yes—
141#2495C2212yes—
142#2495C2211yescharacteristic
143#2494C2212yes—
144#2494C2211yescharacteristic
145#2494C2212yes—
146#2494C2211yescharacteristic
147#2493C2212yes—
148#2493C2214yes—
149#2493C2212yes—
150#2489C2214yes—
151#2484C2214yes—
152#2482C2214yes—
153#2480C2212yes—
154#2480C2214yes—
155#2480C2212yes—
156#2478C2214yes—
157#2478C2214yes—
158#2473C2214yes—
159#2453C2212yescomplemented
160#2453C2212yescomplemented
161#2451C2212yescomplemented
162#2451C2212yescomplemented
163#2442C2214yes—
164#2442C2211yescharacteristic
165#2442C2211yescharacteristic
166#2441C2211yescharacteristic
167#2441C2211yescharacteristic
168#2440C2211yescharacteristic
169#2440C2211yescharacteristic
170#2439C2211yescharacteristic
171#2439C2211yescharacteristic
172#2438C2214yes—
173#2438C2214yes—
174#2438C2212yes—
175#2438C2212yes—
176#2437C2212yes—
177#2437C2212yes—
178#2423C2212yes—
179#2423C2212yes—
180#2423C2212yes—
181#2423C2212yes—
182#2421C2212yes—
183#2421C2212yes—
184#2421C2212yes—
185#2421C2212yes—
186#2421C2212yes—
187#2421C2212yes—
188#2421C2212yes—
189#2421C2212yes—
190#2421C2212yes—
191#2421C2212yes—
192#2421C2212yes—
193#2421C2212yes—
194#2401C2212yes—
195#2401C2212yes—
196#2396C2212yes—
197#2396C2212yes—
198C2×#400C2212yes—
199C2×#397C2212yes—
200#2373C2214yes—
201#2371C2214yescomplemented
202#2370C2214yescomplemented
203#2368C2214yes—
204#2368C2214yes—
205#2362C2212yes—
206#2362C2212yes—
207#2360C2212yes—
208#2360C2212yes—
209#2356C2212yescomplemented
210#2356C2212yescomplemented
211#2356C2212yescomplemented
212#2356C2212yescomplemented
213#2356C2212yescomplemented
214#2356C2212yescomplemented
215#2355C2212yescomplemented
216#2355C2212yescomplemented
217#2355C2212yescomplemented
218#2355C2212yescomplemented
219#2355C2212yescomplemented
220#2355C2212yescomplemented
221#2355C2212yescomplemented
222#2355C2212yescomplemented
223#2355C2212yescomplemented
224#2355C2212yescomplemented
225#2351C2212yescomplemented
226#2351C2212yescomplemented
227#2351C2212yescomplemented
228#2351C2212yescomplemented
229Q8×C4⋊C4C2212yescomplemented
230Q8×C4⋊C4C2212yescomplemented
231Q8×C4⋊C4C2212yescomplemented
232Q8×C4⋊C4C2212yescomplemented
233#2347C2212yes—
234#2346C2212yes—
235#2346C2214yes—
236#2345C2212yes—
237#2344C2212yes—
238#2344C2214yes—
239#2343C2214yes—
240#2343C2214yes—
241#2343C2214yes—
242#2342C2214yes—
243#2342C2214yes—
244#2331C2212yescomplemented
245#2331C2212yescomplemented
246#2323C2212yes—
247#2323C2212yes—
248#2320C2212yescomplemented
249#2320C2212yescomplemented
250#2317C2211yescharacteristic
251#2317C2211yescharacteristic
252#2317C2211yescharacteristic
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2214yes—
256#2317C2211yescharacteristic
257#2316C2211yescharacteristic
258#2316C2211yescharacteristic
259#2314C2212yes—
260#2314C2212yes—
261#2313C2214yes—
262#2310C2211yescharacteristic
263#2310C2211yescharacteristic
264C4×#125C2212yescomplemented
265C4×#125C2212yescomplemented
266C4×#126C2212yes—
267C4×#126C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272#2296C2211yescharacteristic
273#2296C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2214yes—
276#2296C2211yescharacteristic
277#2295C2212yescomplemented
278#2295C2212yescomplemented
279C2×#391C2211yescharacteristic
280C2×#389C2211yescharacteristic
281C2×#388C2212yes—
282C2×#387C2212yes—
283#2285C2211yescharacteristic
284#2285C2212yes—
285#2285C2211yescharacteristic
286#2283C2212yes—
287#2283C2214yes—
288C2×#382C2211yescharacteristic
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292C2×#380C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300C24×C4C2311yescharacteristic
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×#126C2312yes—
305C2×#126C2312yes—
306C2×#126C2314yes—
307C2×#125C2311yescharacteristic
308C2×#125C2311yescharacteristic
309C2×#125C2314yes—
310C2×#125C2314yes—
311C2×C22⋊Q8—28no—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320#519—28no—
321#519—28no—
322C2×C4×Q8—28no—
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2312yes—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×#117—28no—
338C2×#117C2311yescharacteristic
339C2×#117C2311yescharacteristic
340C2×#117C2311yescharacteristic
341C2×#117C2311yescharacteristic
342C2×#117C2312yes—
343C2×#117C2311yescharacteristic
344C2×#117C2311yescharacteristic
345C2×#117C2311yescharacteristic
346C2×#117C2314yes—
347C2×#117C2314yes—
348C2×#117C2312yes—
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2314yes—
352C2×#117C2311yescharacteristic
353C22×C4⋊C4C2312yes—
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2312yes—
361C22×C22⋊C4C2312yes—
362C22×C22⋊C4C2312yes—
363C22×C22⋊C4C2312yes—
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C42C2312yes—
367C22×C42C2311yescharacteristic
368C22×C42C2312yes—
369C22×C42C2311yescharacteristic
370#401C2312yes—
371#401C2312yes—
372#401C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#399C2314yes—
407#399C2312yes—
408#399C2312yes—
409#399C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#396C2312yes—
446#396C2312yes—
447#396C2312yes—
448#396C2312yes—
449#396C2312yes—
450#396C2312yes—
451#396C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2312yes—
455#395C2312yes—
456#393C2312yes—
457#393C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#389C2312yes—
479#389C2312yes—
480#389C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2311yescharacteristic
484#389C2312yes—
485#389C2311yescharacteristic
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2314yes—
490#389C2312yes—
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2314yes—
527#389C2314yes—
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2314yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
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#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#387C2312yes—
564#387C2312yes—
565#387C2312yes—
566#387C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
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#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#385C2312yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2312yes—
645#385C2312yes—
646#385C2312yes—
647#385C2312yes—
648#385C2312yes—
649#385C2312yes—
650#385C2312yes—
651#385C2312yes—
652#384C2312yes—
653#384C2312yes—
654#384C2312yes—
655#384C2311yescharacteristic
656#384C2314yes—
657#384C2312yes—
658#384C2312yes—
659#384C2314yes—
660#384C2312yes—
661#384C2311yescharacteristic
662#384C2311yescharacteristic
663#384C2311yescharacteristic
664#383C2312yes—
665#383C2312yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#383C2314yes—
670#383C2314yes—
671#383C2314yes—
672#382C2312yes—
673#382C2312yes—
674#382C2312yes—
675#382C2312yes—
676#382C2311yescharacteristic
677#382C2312yes—
678#382C2312yes—
679#382C2314yes—
680#382C2314yes—
681#382C2312yes—
682#382C2311yescharacteristic
683#382C2314yes—
684#382C2314yes—
685#382C2314yes—
686#382C2314yes—
687#382C2312yes—
688#382C2314yes—
689#382C2314yes—
690#382C2314yes—
691#382C2312yes—
692#382C2312yes—
693#382C2314yes—
694#382C2314yes—
695#382C2311yescharacteristic
696#382C2311yescharacteristic
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2312yes—
701#381C2312yes—
702#381C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2314yes—
706#380C2314yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#379C2312yes—
729#379C2312yes—
730#379C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C22⋊C4C2311yescharacteristic
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801#376C2312yes—
802#376C2314yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2311yescharacteristic
815C43C2312yes—
816C25C2411yescharacteristic
817C22×Q8—24no—
818C22×Q8—24no—
819C22×Q8#4118yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C23×C4—24no—
825C23×C4—24no—
826C23×C4—24no—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C4⋊Q8—24no—
844C4⋊Q8—24no—
845#126—48no—
846#126—44no—
847#126—44no—
848#125—24no—
849#125—24no—
850#125—48no—
851#125—48no—
852C22⋊Q8—28no—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—28no—
874#117—24no—
875#117—216no—
876#117—24no—
877#117—24no—
878#117—24no—
879#117—24no—
880#117—24no—
881#117—24no—
882#117—24no—
883#117—24no—
884#117—28no—
885#117—216no—
886#117—28no—
887#117—48no—
888#117#4118yes—
889C2×C4⋊C4—28no—
890C2×C4⋊C4—24no—
891C2×C4⋊C4—28no—
892C2×C4⋊C4—24no—
893C2×C4⋊C4—24no—
894C2×C4⋊C4—24no—
895C2×C4⋊C4—24no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C22⋊C4—28no—
978C2×C22⋊C4—28no—
979C2×C22⋊C4—42no—
980C2×C22⋊C4—44no—
981C2×C22⋊C4—42no—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C42—28no—
1017C2×C42—24no—
1018C2×C42—24no—
1019C2×C42—28no—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2414yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148C24—22no—
1149C24—22no—
1150C24—22no—
1151C24—22no—
1152C24—41no—
1153C24—41no—
1154C24—41no—
1155C24C2511yescharacteristic
1156C24C2511yescharacteristic
1157C24C2511yescharacteristic
1158C2×Q8—232no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8C2×#4118yes—
1170C2×Q8C2×#4118yes—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—22no—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—42no—
1200C22×C4—41no—
1201C22×C4—42no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—42no—
1205C22×C4—41no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4—41no—
1215C22×C4—416no—
1216C22×C4C2×#4118yes—
1217C22×C4C2×#4114yes—
1218C22×C4C2×#4114yes—
1219C22×C42−1+414yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2514yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2514yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2514yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2514yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4C2×#4114yes—
1331C4⋊C4C2×#4114yes—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—44no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4C2×#4118yes—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—28no—
1370C42—22no—
1371C42—22no—
1372C42—28no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—28no—
1380C42—28no—
1381C42—28no—
1382C42—28no—
1383C42—24no—
1384C42—24no—
1385C42—24no—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—44no—
1390C42—44no—
1391C42—42no—
1392C42—42no—
1393C42—44no—
1394C42—44no—
1395C42—44no—
1396C42—44no—
1397C42—44no—
1398C42—42no—
1399C42—44no—
1400C42—42no—
1401C42C2×#4118yes—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—82no—
1424C23—82no—
1425C23—82no—
1426C23C22×#4112yes—
1427C23C22×#4112yes—
1428C23C2×2−1+412yes—
1429C23#58512yes—
1430C23C2611yescharacteristic
1431Q8—216no—
1432Q8—216no—
1433Q8—84no—
1434Q8—84no—
1435C2×C4—21no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—216no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—24no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—24no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—48no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—84no—
1530C2×C4—82no—
1531C2×C4—84no—
1532C2×C4—84no—
1533C2×C4—82no—
1534C2×C4—82no—
1535C2×C4—84no—
1536C2×C4#552116yes—
1537C2×C4C22×#4118yes—
1538C2×C4C22×#4114yes—
1539C2×C4C22×#4114yes—
1540C2×C4C22×#4112yes—
1541C2×C4C22×#4112yes—
1542C2×C4C22×#4112yes—
1543C2×C4C22×#4112yes—
1544C2×C4C2×2−1+412yes—
1545C2×C4C2×2−1+412yes—
1546C2×C4#58512yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—88no—
1568C22C2×#55214yes—
1569C22C23×#4111yescharacteristic
1570C22C23×#4111yescharacteristic
1571C22C22×2−1+411yescharacteristic
1572C22C2×#58511yescharacteristic
1573C22C2×#58511yescharacteristic
1574C222−1+611yescharacteristic
1575C222−1+611yescharacteristic
1576C4—24no—
1577C4—22no—
1578C4—24no—
1579C4—28no—
1580C4—42no—
1581C4—42no—
1582C4—41no—
1583C4—41no—
1584C4—42no—
1585C4—42no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—41no—
1590C4—44no—
1591C4—44no—
1592C4—41no—
1593C4—41no—
1594C4—42no—
1595C4—42no—
1596C4—41no—
1597C4—41no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—44no—
1602C4—42no—
1603C4—42no—
1604C4—41no—
1605C4—41no—
1606C4C2×#55214yes—
1607C4C2×#55214yes—
1608C2—24no—
1609C2—42no—
1610C2—81no—
1611C2C22×#55211yescharacteristic
1612C2#6283111yescharacteristic
1613C2#6288911yescharacteristic
1614C2#6299311yescharacteristic
1615C2#6300511yescharacteristic
1616C2#6300511yescharacteristic
1617C2#6300911yescharacteristic
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. #59511C2semidirect
2. #59508C2semidirect
3. #59506C2semidirect
4. #59505C2semidirect
6. #59284C2semidirect
7. #59263C2semidirect
8. #59261C2semidirect
9. #59256C2semidirect
10. #59249C2semidirect
11. #45346C2semidirect
12. #45304C2semidirect
13. #45293C2semidirect
14. #45284C2semidirect
15. #45210C2semidirect
16. #45123C2semidirect
17. #45123C2semidirect
18. #45055C2semidirect
19. #44512C2semidirect
22. #35662C2semidirect
23. #35627C2semidirect
24. #35585C2semidirect
26. #35543C2semidirect
30. #34254C2semidirect
31. #34249C2semidirect
32. #34215C2semidirect
34. #34187C2semidirect
42. #2794C22semidirect
43. #2794C22semidirect
49. #2774C22semidirect
50. #2774C22semidirect
55. #2767C22semidirect
56. #2767C22semidirect
57. #2767C22semidirect
58. #2766C22semidirect
59. #2766C22semidirect
60. #2762C22semidirect
61. #2758C22semidirect
64. #2719C22semidirect
66. #2612C22semidirect
67. #2606C22semidirect
70. #2590C22semidirect
71. #2582C22semidirect
72. #2582C22semidirect
73. #2581C22semidirect
74. #2581C22semidirect
76. #2571C22semidirect
77. #2571C22semidirect
78. #2571C22semidirect
79. #2570C22semidirect
80. #2570C22semidirect
81. #2570C22semidirect
82. #2570C22semidirect
83. #2570C22semidirect
86. #2552C22semidirect
87. #2533C22semidirect
88. #2533C22semidirect
89. #2533C22semidirect
90. #2533C22semidirect
96. #2528C22semidirect
97. #2528C22semidirect
98. #2528C22semidirect
99. #2524C22semidirect
100. #2524C22semidirect
101. #2524C22semidirect
102. #2524C22semidirect
103. #2520C22semidirect
108. #2514C22semidirect
109. #2511C22semidirect
110. #2509C22semidirect
111. #2509C22semidirect
112. #2509C22semidirect
113. #2509C22semidirect
114. #2509C22semidirect
115. #2508C22semidirect
116. #2508C22semidirect
117. #2508C22semidirect
118. #2508C22semidirect
119. #2508C22semidirect
120. #2507C22semidirect
121. #2507C22semidirect
122. #2507C22semidirect
123. #2506C22semidirect
124. #2506C22semidirect
125. #2506C22semidirect
159. #2453C22semidirect
160. #2453C22semidirect
161. #2451C22semidirect
162. #2451C22semidirect
201. #2371C22semidirect
202. #2370C22semidirect
209. #2356C22semidirect
210. #2356C22semidirect
211. #2356C22semidirect
212. #2356C22semidirect
213. #2356C22semidirect
214. #2356C22semidirect
215. #2355C22semidirect
216. #2355C22semidirect
217. #2355C22semidirect
218. #2355C22semidirect
219. #2355C22semidirect
220. #2355C22semidirect
221. #2355C22semidirect
222. #2355C22semidirect
223. #2355C22semidirect
224. #2355C22semidirect
225. #2351C22semidirect
226. #2351C22semidirect
227. #2351C22semidirect
228. #2351C22semidirect
229. Q8×C4⋊C4C22semidirect
230. Q8×C4⋊C4C22semidirect
231. Q8×C4⋊C4C22semidirect
232. Q8×C4⋊C4C22semidirect
244. #2331C22semidirect
245. #2331C22semidirect
248. #2320C22semidirect
249. #2320C22semidirect
264. C4×#125C22semidirect
265. C4×#125C22semidirect
277. #2295C22semidirect
278. #2295C22semidirect

Maximal subgroups

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

subgroupindex
#595112
#595082
#595062
#595052
#592862
#592842
#592632
#592612
#592562
#592492
#453462
#453042
#452932
#452842
#452102
#451232
#450552
#445122
#439992
#356722
#356622
#356272
#355852
#355442
#355432
#348142
#347392
C2×#24212
#342542
#342492
#342152
#342032
#341872
#341802