Finite Group Databasebeta

← #7688382

Subgroups — #7688382

Order 512.

4501 conjugacy classes of subgroups.

The subgroup lattice has 1556 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59766C212yesmaximal, complemented
2#59681C211yesmaximal, characteristic, complemented
3#59563C212yesmaximal
4#59511C212yesmaximal, complemented
5#59506C212yesmaximal, complemented
6#59437C211yesmaximal, characteristic
7#59428C212yesmaximal
8#59428C211yesmaximal, characteristic
9#59154C212yesmaximal, complemented
10#44738C214yesmaximal, complemented
11#43741C214yesmaximal, complemented
12#43633C214yesmaximal, complemented
13#40215C212yesmaximal, complemented
14#40051C212yesmaximal, complemented
15#39999C212yesmaximal, complemented
16#39907C212yesmaximal, complemented
17#39250C212yesmaximal, complemented
18#39025C212yesmaximal
19#36574C211yesmaximal, characteristic, complemented
20#36555C211yesmaximal, characteristic
21#36535C211yesmaximal, characteristic, complemented
22#36447C211yesmaximal, characteristic, complemented
23#36384C212yesmaximal, complemented
24#36383C212yesmaximal, complemented
25#36299C211yesmaximal, characteristic
26#36285C211yesmaximal, characteristic, complemented
27D4×#125C211yesmaximal, characteristic
28#35902C214yesmaximal, complemented
29#34951C211yesmaximal, characteristic, complemented
30#34951C211yesmaximal, characteristic, complemented
31#34945C211yesmaximal, characteristic
32#34322C212yesmaximal
33#34239C212yesmaximal, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#556C211yesmaximal, characteristic
36C2×#557C2211yescharacteristic
37C2×#556C2212yes—
38C2×#556C2211yescharacteristic
39C22×#125C2212yes—
40#2864C2212yes—
41#2864C2212yes—
42#2863C2212yes—
43#2863C2212yes—
44#2859C2211yescharacteristic
45#2859C2212yes—
46#2859C2211yescharacteristic
47#2859C2211yescharacteristic
48#2851C2212yes—
49#2802C2214yes—
50#2794C2214yes—
51#2794C2214yes—
52#2789C2214yes—
53#2787C2214yes—
54#2776C2214yes—
55#2776C2214yes—
56#2770C2214yes—
57#2769C2214yes—
58#2767C2214yes—
59#2758C2214yes—
60#2747C2214yes—
61#2747C2214yes—
62#2744C2214yes—
63#2739C2214yes—
64#2738C2214yes—
65#2726C2214yes—
66#2713C2214yes—
67#2689C2214yes—
68#2689C2214yes—
69#2689C2214yes—
70#2655C2214yes—
71#2655C2214yes—
72#2652C2214yes—
73#2611C2214yes—
74#2606C2214yes—
75#2606C2214yes—
76#2590C2214yes—
77#2590C2214yes—
78#2590C2214yes—
79#2590C2214yes—
80#2588C2214yes—
81#2587C2214yes—
82#2585C2214yes—
83#2585C2214yes—
84#2585C2214yes—
85#2584C2212yes—
86#2584C2212yes—
87#2582C2211yescharacteristic
88#2582C2211yescharacteristic
89#2581C2212yes—
90#2581C2212yes—
91#2581C2212yes—
92#2577C2214yes—
93#2575C2214yes—
94#2573C2214yes—
95#2571C2212yes—
96#2571C2211yescharacteristic
97#2570C2212yes—
98#2570C2212yes—
99#2570C2212yes—
100#2568C2211yescharacteristic
101#2565C2212yes—
102#2565C2212yes—
103#2552C2211yescharacteristic
104#2552C2211yescharacteristic
105#2552C2212yes—
106#2550C2212yes—
107#2547C2212yes—
108#2547C2211yescharacteristic
109#2546C2212yes—
110#2546C2211yescharacteristic
111#2546C2211yescharacteristic
112#2538C2211yescharacteristic
113#2533C2214yes—
114#2533C2214yes—
115#2533C2214yes—
116#2533C2214yes—
117#2533C2214yes—
118#2530C2214yes—
119#2528C2214yes—
120#2528C2214yes—
121#2524C2214yes—
122#2524C2214yes—
123#2522C2214yes—
124#2517C2214yes—
125#2515C2214yes—
126#2514C2212yes—
127#2514C2212yes—
128#2511C2212yes—
129#2511C2212yes—
130#2511C2212yes—
131#2509C2212yes—
132#2509C2212yes—
133#2509C2212yes—
134#2509C2212yes—
135#2509C2212yes—
136#2509C2212yes—
137#2508C2212yes—
138#2508C2212yes—
139#2508C2214yes—
140#2508C2212yes—
141#2507C2212yes—
142#2507C2212yes—
143#2506C2212yes—
144#2506C2212yes—
145#2506C2214yes—
146#2506C2212yes—
147#2506C2214yes—
148#2497C2212yes—
149#2496C2212yes—
150#2496C2214yes—
151#2496C2214yes—
152#2496C2212yes—
153#2495C2212yes—
154#2495C2212yes—
155#2494C2212yes—
156#2494C2212yes—
157#2478C2214yes—
158#2478C2214yes—
159#2478C2214yes—
160#2475C2214yes—
161#2475C2214yes—
162#2473C2214yes—
163#2473C2214yes—
164#2473C2214yes—
165#2473C2214yes—
166#2462C2214yes—
167#2462C2214yes—
168#2454C2212yes—
169#2453C2212yes—
170#2453C2212yes—
171#2453C2212yes—
172#2453C2212yes—
173#2453C2212yes—
174#2447C2212yes—
175#2447C2212yes—
176#2447C2212yes—
177#2446C2212yes—
178#2446C2212yes—
179#2446C2212yes—
180#2446C2212yes—
181#2446C2212yes—
182#2446C2212yes—
183#2442C2212yes—
184#2442C2212yes—
185#2442C2212yes—
186#2440C2212yes—
187#2440C2214yes—
188#2423C2212yes—
189#2421C2212yes—
190#2421C2212yes—
191#2402C2214yes—
192#2402C2214yes—
193#2401C2214yes—
194#2373C2214yes—
195#2373C2214yes—
196#2373C2212yes—
197#2373C2212yes—
198#2371C2214yes—
199#2371C2214yes—
200#2371C2214yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2212yes—
205#2370C2211yescharacteristic
206#2370C2212yes—
207#2370C2211yescharacteristic
208#2370C2212yes—
209#2370C2212yes—
210#2367C2211yescharacteristic
211#2367C2212yes—
212#2367C2211yescharacteristic
213#2365C2212yes—
214#2365C2211yescharacteristic
215#2365C2211yescharacteristic
216#2365C2212yes—
217#2362C2212yes—
218#2360C2214yes—
219#2360C2212yes—
220#2360C2212yes—
221#2356C2211yescharacteristic
222#2356C2212yes—
223#2356C2211yescharacteristic
224#2355C2212yes—
225#2355C2211yescharacteristic
226#2355C2211yescharacteristic
227#2355C2211yescharacteristic
228#2355C2212yes—
229#2355C2211yescharacteristic
230#2354C2211yescharacteristic
231#2351C2212yes—
232#2351C2212yes—
233#2351C2211yescharacteristic
234#2351C2211yescharacteristic
235Q8×C4⋊C4C2211yescharacteristic
236Q8×C4⋊C4C2212yes—
237Q8×C4⋊C4C2211yescharacteristic
238Q8×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2212yes—
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2211yescharacteristic
243#2347C2212yes—
244#2346C2214yes—
245#2345C2212yes—
246#2345C2212yes—
247#2344C2212yes—
248#2344C2214yes—
249#2344C2212yes—
250#2344C2214yes—
251#2336C2214yes—
252#2336C2214yes—
253#2334C2214yes—
254#2334C2214yes—
255#2323C2214yes—
256#2313C2214yes—
257C4×C4⋊Q8C2212yes—
258C4×C4⋊Q8C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×#125C2211yescharacteristic
266C4×#125C2212yes—
267C4×#125C2211yescharacteristic
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#125C2212yes—
273C4×#126C2212yes—
274C4×#126C2212yes—
275C4×#124C2212yes—
276C4×#124C2212yes—
277C4×#124C2211yescharacteristic
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281#2295C2212yes—
282#2295C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2295C2212yes—
286#2295C2212yes—
287#2293C2212yes—
288#2283C2212yes—
289#2274C2214yes—
290C42×Q8C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299#557—28no—
300#556—216no—
301#556—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125—216no—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×#117C2314yes—
361C2×#117C2312yes—
362C2×#117C2314yes—
363C2×#117C2312yes—
364C22×C4⋊C4C2314yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2314yes—
367C22×C4⋊C4C2312yes—
368C22×C42C2312yes—
369#401C2314yes—
370#401C2314yes—
371#400C2314yes—
372#400C2314yes—
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#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#399C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#396C2314yes—
435#396C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#391C2312yes—
440#391C2312yes—
441#391C2312yes—
442#391C2312yes—
443#391C2312yes—
444#391C2312yes—
445#391C2312yes—
446#391C2311yescharacteristic
447#391C2312yes—
448#391C2312yes—
449#391C2311yescharacteristic
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2314yes—
457#391C2312yes—
458#391C2312yes—
459#391C2311yescharacteristic
460#391C2312yes—
461#391C2311yescharacteristic
462#391C2312yes—
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2312yes—
466#389C2311yescharacteristic
467#389C2311yescharacteristic
468#389C2312yes—
469#389C2312yes—
470#389C2312yes—
471#389C2312yes—
472#389C2312yes—
473#389C2312yes—
474#389C2312yes—
475#389C2312yes—
476#389C2311yescharacteristic
477#389C2311yescharacteristic
478#389C2312yes—
479#389C2312yes—
480#389C2311yescharacteristic
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2314yes—
487#389C2314yes—
488#389C2314yes—
489#389C2314yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2311yescharacteristic
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#389C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2312yes—
560#387C2312yes—
561#387C2312yes—
562#387C2312yes—
563#387C2312yes—
564#387C2312yes—
565#387C2312yes—
566#387C2314yes—
567#387C2312yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2312yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2312yes—
576#387C2312yes—
577#387C2314yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
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#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2314yes—
656#384C2312yes—
657#384C2311yescharacteristic
658#384C2311yescharacteristic
659#384C2311yescharacteristic
660#384C2311yescharacteristic
661#384C2312yes—
662#384C2312yes—
663#384C2311yescharacteristic
664#384C2312yes—
665#384C2312yes—
666#384C2314yes—
667#383C2312yes—
668#383C2312yes—
669#383C2314yes—
670#383C2314yes—
671#383C2314yes—
672#383C2314yes—
673#382C2312yes—
674#382C2312yes—
675#382C2311yescharacteristic
676#382C2311yescharacteristic
677#382C2312yes—
678#382C2312yes—
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2314yes—
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2314yes—
687#382C2314yes—
688#382C2312yes—
689#382C2311yescharacteristic
690#381C2314yes—
691#381C2314yes—
692#381C2314yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2314yes—
703#380C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2314yes—
801#376C2314yes—
802#376C2314yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806C43C2312yes—
807C43C2312yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×D4C2411yescharacteristic
821C23×C4C2412yes—
822C23×C4C2414yes—
823C23×C4C2412yes—
824C23×C4C2414yes—
825C23×C4C2412yes—
826C4⋊Q8—28no—
827C4⋊Q8—24no—
828C4⋊Q8—28no—
829C4⋊Q8—24no—
830C4⋊Q8—24no—
831C4⋊Q8—44no—
832#126—28no—
833#126—216no—
834#126—28no—
835#126—216no—
836#125—28no—
837#125—216no—
838#125—28no—
839#125—216no—
840#125—28no—
841#125—24no—
842#125—28no—
843#125—28no—
844#125—48no—
845#125—44no—
846#125—44no—
847#125#4118yes—
848#124—28no—
849#124—24no—
850#124#4118yes—
851C22⋊Q8—28no—
852C22⋊Q8—216no—
853C22⋊Q8—28no—
854C4×Q8—28no—
855C4×Q8—24no—
856C4×Q8—24no—
857C4×Q8—24no—
858C4×Q8—24no—
859C4×Q8—24no—
860C4×Q8—28no—
861C4×Q8—24no—
862C4×Q8—28no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—28no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—44no—
872C4×Q8—42no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—42no—
876C4×Q8—44no—
877C4×Q8—42no—
878C4×D4—28no—
879C4×D4—24no—
880C4×D4—24no—
881C4×D4—42no—
882C4×D4—44no—
883#117—216no—
884#117—28no—
885#117—48no—
886#117—44no—
887C2×C4⋊C4—28no—
888C2×C4⋊C4—216no—
889C2×C4⋊C4—28no—
890C2×C4⋊C4—216no—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C42—28no—
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2414yes—
1004C2×C42C2414yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2411yescharacteristic
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143C24C2512yes—
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—42no—
1159C2×Q8—41no—
1160C2×Q8C2×#4114yes—
1161C2×Q82−1+414yes—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4C2×#4114yes—
1165C22×C4—28no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—28no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—28no—
1174C22×C4—44no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—44no—
1178C22×C4—42no—
1179C22×C4—44no—
1180C22×C4C2512yes—
1181C22×C4C2511yescharacteristic
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2514yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2514yes—
1195C22×C4C2514yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2514yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C4⋊C4—28no—
1215C4⋊C4—28no—
1216C4⋊C4—28no—
1217C4⋊C4—28no—
1218C4⋊C4—28no—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—28no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—24no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—28no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—28no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—41no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4C2×#4118yes—
1302C4⋊C4C2×#4114yes—
1303C4⋊C4C2×#4114yes—
1304C4⋊C4C2×#4118yes—
1305C22⋊C4—28no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—24no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4C2×#4118yes—
1321C22⋊C4C2×#4118yes—
1322C42—24no—
1323C42—24no—
1324C42—24no—
1325C42—24no—
1326C42—28no—
1327C42—24no—
1328C42—28no—
1329C42—24no—
1330C42—22no—
1331C42—24no—
1332C42—22no—
1333C42—24no—
1334C42—24no—
1335C42—22no—
1336C42—24no—
1337C42—22no—
1338C42—24no—
1339C42—24no—
1340C42—22no—
1341C42—22no—
1342C42—24no—
1343C42—24no—
1344C42—24no—
1345C42—22no—
1346C42—24no—
1347C42—24no—
1348C42—24no—
1349C42—22no—
1350C42—24no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—41no—
1355C42—42no—
1356C42—42no—
1357C42—41no—
1358C42—41no—
1359C42—42no—
1360C42—42no—
1361C42—44no—
1362C42—42no—
1363C42—44no—
1364C42—42no—
1365C42—42no—
1366C42—44no—
1367C42—44no—
1368C42—41no—
1369C42—41no—
1370C42—44no—
1371C42—42no—
1372C42—42no—
1373C42—42no—
1374C42C2×#4114yes—
1375C42C2×#4114yes—
1376C422−1+414yes—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23C22×#4114yes—
1384C23C2611yescharacteristic
1385Q8—28no—
1386Q8—28no—
1387Q8—48no—
1388Q8—44no—
1389Q8—44no—
1390Q8—48no—
1391D4—28no—
1392C2×C4—22no—
1393C2×C4—21no—
1394C2×C4—22no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—24no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—48no—
1479C2×C4—416no—
1480C2×C4—48no—
1481C2×C4—84no—
1482C2×C4—88no—
1483C2×C4C22×#4112yes—
1484C2×C4C22×#4112yes—
1485C2×C4C22×#4114yes—
1486C2×C4C22×#4112yes—
1487C2×C4C22×#4114yes—
1488C2×C4C22×#4114yes—
1489C2×C4C22×#4112yes—
1490C2×C4C22×#4112yes—
1491C2×C4C22×#4112yes—
1492C2×C4C2×2−1+414yes—
1493C2×C4C2×2−1+412yes—
1494C2×C4C2×2−1+412yes—
1495C2×C4C2×2−1+412yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4#58512yes—
1498C2×C4#58512yes—
1499C22—24no—
1500C22—24no—
1501C22—24no—
1502C22—42no—
1503C22—42no—
1504C22—42no—
1505C22—42no—
1506C22C23×#4111yescharacteristic
1507C22C23×#4111yescharacteristic
1508C22C22×2−1+411yescharacteristic
1509C22C22×2−1+411yescharacteristic
1510C22C2×#58511yescharacteristic
1511C22C2×#58511yescharacteristic
1512C222−1+611yescharacteristic
1513C4—22no—
1514C4—22no—
1515C4—24no—
1516C4—22no—
1517C4—24no—
1518C4—24no—
1519C4—22no—
1520C4—24no—
1521C4—22no—
1522C4—22no—
1523C4—41no—
1524C4—42no—
1525C4—41no—
1526C4—42no—
1527C4—41no—
1528C4—41no—
1529C4—42no—
1530C4—44no—
1531C4—41no—
1532C4—41no—
1533C4—42no—
1534C4—44no—
1535C4—42no—
1536C4—44no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—44no—
1543C4—41no—
1544C4—42no—
1545C4#351514yes—
1546C4#352314yes—
1547C2—44no—
1548C2#41211yescharacteristic
1549C2C2×#351511yescharacteristic
1550C2C2×#352311yescharacteristic
1551C2#6295611yescharacteristic
1552C2#6300111yescharacteristic
1553C2#6300911yescharacteristic
1554C2#6303311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59766C2semidirect
2. #59681C2semidirect
4. #59511C2semidirect
5. #59506C2semidirect
9. #59154C2semidirect
10. #44738C2semidirect
11. #43741C2semidirect
12. #43633C2semidirect
13. #40215C2semidirect
14. #40051C2semidirect
15. #39999C2semidirect
16. #39907C2semidirect
17. #39250C2semidirect
19. #36574C2semidirect
21. #36535C2semidirect
22. #36447C2semidirect
23. #36384C2semidirect
24. #36383C2semidirect
26. #36285C2semidirect
28. #35902C2semidirect
29. #34951C2semidirect
30. #34951C2semidirect
33. #34239C2semidirect
34. C4×#557C2semidirect

Maximal subgroups

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

subgroupindex
#597662
#596812
#595632
#595112
#595062
#594372
#594282
#591542
#447382
#437412
#436332
#402152
#400512
#399992
#399072
#392502
#390252
#365742
#365552
#365352
#364472
#363842
#363832
#362992
#362852
D4×#1252
#359022
#349512
#349452
#343222
#342392
C4×#5572
C4×#5562