Finite Group Databasebeta

← #7691314

Subgroups — #7691314

Order 512.

4561 conjugacy classes of subgroups.

The subgroup lattice has 1579 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59694C212yesmaximal, complemented
2#59561C214yesmaximal
3#59506C212yesmaximal, complemented
4#59467C211yesmaximal, characteristic, complemented
5#59456C212yesmaximal, complemented
6#59400C212yesmaximal
7#59144C211yesmaximal, characteristic, complemented
8#59071C211yesmaximal, characteristic, complemented
9#45179C212yesmaximal, complemented
10#45117C212yesmaximal
11#44798C214yesmaximal, complemented
12#44516C214yesmaximal, complemented
13#40303C214yesmaximal, complemented
14#39526C212yesmaximal, complemented
15#39478C211yesmaximal, characteristic, complemented
16#39067C212yesmaximal, complemented
17#39022C212yesmaximal
18#38943C211yesmaximal, characteristic, complemented
19#36552C211yesmaximal, characteristic, complemented
20#36512C212yesmaximal, complemented
21#36481C211yesmaximal, characteristic, complemented
22#36408C212yesmaximal, complemented
23#36408C212yesmaximal, complemented
24#36313C211yesmaximal, characteristic, complemented
25#36313C211yesmaximal, characteristic, complemented
26#36129C211yesmaximal, characteristic
27#35997C212yesmaximal
28#35870C212yesmaximal, complemented
29#34916C212yesmaximal, complemented
30#34898C211yesmaximal, characteristic
31#34262C212yesmaximal, complemented
32#34235C211yesmaximal, characteristic, complemented
33#34209C211yesmaximal, characteristic, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#552C211yesmaximal, characteristic
36C2×#557C2211yescharacteristic
37C2×#552C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×C4⋊Q8C2211yescharacteristic
40C2×#519C2212yes—
41#2864C2214yes—
42#2863C2212yes—
43#2863C2212yes—
44#2863C2212yes—
45#2862C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2851C2212yes—
49#2802C2214yes—
50#2791C2214yes—
51#2790C2214yes—
52#2789C2214yes—
53#2776C2214yes—
54#2769C2214yes—
55#2767C2214yes—
56#2767C2214yes—
57#2767C2214yes—
58#2766C2214yes—
59#2758C2214yes—
60#2755C2214yes—
61#2755C2214yes—
62#2747C2214yes—
63#2746C2214yes—
64#2744C2214yes—
65#2739C2214yes—
66#2738C2214yes—
67#2738C2214yes—
68#2719C2214yes—
69#2713C2214yes—
70#2655C2214yes—
71#2642C2212yes—
72#2634C2214yes—
73#2625C2212yes—
74#2606C2214yes—
75#2606C2214yes—
76#2599C2214yes—
77#2590C2214yes—
78#2590C2214yes—
79#2590C2214yes—
80#2590C2214yes—
81#2589C2214yes—
82#2588C2214yes—
83#2588C2214yes—
84#2587C2214yes—
85#2587C2214yes—
86#2585C2214yes—
87#2585C2214yes—
88#2585C2214yes—
89#2584C2214yes—
90#2577C2212yes—
91#2576C2214yes—
92#2575C2212yes—
93#2575C2214yes—
94#2573C2214yes—
95#2573C2214yes—
96#2571C2212yes—
97#2570C2211yescharacteristic
98#2568C2211yescharacteristic
99#2568C2211yescharacteristic
100#2565C2212yes—
101#2565C2212yes—
102#2565C2211yescharacteristic
103#2562C2211yescharacteristic
104#2552C2211yescharacteristic
105#2552C2211yescharacteristic
106#2552C2212yes—
107#2550C2212yes—
108#2550C2212yes—
109#2546C2212yes—
110#2546C2211yescharacteristic
111#2546C2211yescharacteristic
112#2536C2211yescharacteristic
113#2533C2214yes—
114#2533C2214yes—
115#2533C2214yes—
116#2528C2214yes—
117#2528C2214yes—
118#2528C2214yes—
119#2524C2214yes—
120#2524C2214yes—
121#2524C2214yes—
122#2524C2212yes—
123#2524C2214yes—
124#2524C2214yes—
125#2524C2214yes—
126#2523C2214yes—
127#2522C2214yes—
128#2515C2214yes—
129#2515C2214yes—
130#2514C2212yes—
131#2514C2212yes—
132#2514C2212yes—
133#2514C2212yes—
134#2511C2212yes—
135#2511C2212yes—
136#2511C2212yes—
137#2509C2212yes—
138#2508C2212yes—
139#2508C2212yes—
140#2508C2214yes—
141#2508C2212yes—
142#2507C2214yes—
143#2507C2212yes—
144#2507C2212yes—
145#2505C2214yes—
146#2502C2212yes—
147#2497C2212yes—
148#2496C2211yescharacteristic
149#2495C2212yes—
150#2495C2211yescharacteristic
151#2492C2212yes—
152#2489C2212yes—
153#2489C2212yes—
154#2489C2212yes—
155#2478C2214yes—
156#2478C2214yes—
157#2478C2214yes—
158#2475C2214yes—
159#2473C2214yes—
160#2470C2214yes—
161#2470C2214yes—
162#2468C2212yes—
163#2453C2212yes—
164#2453C2212yes—
165#2453C2212yes—
166#2453C2212yes—
167#2453C2212yes—
168#2453C2212yes—
169#2451C2212yes—
170#2451C2212yes—
171#2446C2212yes—
172#2446C2212yes—
173#2446C2212yes—
174#2446C2212yes—
175#2446C2212yes—
176#2442C2212yes—
177#2442C2212yes—
178#2441C2212yes—
179#2439C2212yes—
180#2434C2212yes—
181#2429C2212yes—
182#2429C2212yes—
183#2429C2212yes—
184#2429C2212yes—
185#2429C2212yes—
186#2423C2211yescharacteristic
187#2423C2212yes—
188#2421C2212yes—
189#2421C2211yescharacteristic
190#2421C2212yes—
191#2417C2212yes—
192#2409C2212yes—
193#2402C2212yes—
194#2402C2214yes—
195#2396C2214yes—
196#2395C2212yes—
197#2373C2214yes—
198#2373C2212yes—
199#2371C2212yes—
200#2370C2212yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2211yescharacteristic
204#2370C2214yes—
205#2365C2211yescharacteristic
206#2365C2212yes—
207#2365C2212yes—
208#2365C2212yes—
209#2365C2212yes—
210#2365C2211yescharacteristic
211#2365C2212yes—
212#2365C2211yescharacteristic
213#2365C2212yes—
214#2365C2211yescharacteristic
215#2365C2211yescharacteristic
216#2365C2211yescharacteristic
217#2365C2211yescharacteristic
218#2362C2211yescharacteristic
219#2360C2212yes—
220#2360C2212yes—
221#2360C2211yescharacteristic
222#2360C2212yes—
223#2360C2212yes—
224#2360C2212yes—
225#2359C2212yes—
226#2356C2211yescharacteristic
227#2356C2212yes—
228#2356C2212yes—
229#2356C2214yes—
230#2356C2212yes—
231#2355C2212yes—
232#2355C2211yescharacteristic
233#2355C2212yes—
234#2355C2214yes—
235#2352C2212yes—
236#2352C2211yescharacteristic
237#2351C2212yes—
238#2351C2212yes—
239#2351C2212yes—
240Q8×C4⋊C4C2212yes—
241Q8×C4⋊C4C2211yescharacteristic
242#2347C2214yes—
243#2347C2212yes—
244#2346C2214yes—
245#2346C2211yescharacteristic
246#2344C2212yes—
247#2344C2211yescharacteristic
248#2344C2212yes—
249#2344C2214yes—
250#2343C2212yes—
251#2343C2214yes—
252Q8×C22⋊C4C2212yes—
253Q8×C22⋊C4C2212yes—
254#2336C2214yes—
255#2327C2214yes—
256#2320C2212yes—
257#2320C2214yes—
258#2320C2212yes—
259#2314C2212yes—
260#2314C2214yes—
261#2310C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2212yes—
267C4×#125C2212yes—
268C4×#125C2211yescharacteristic
269C4×#125C2211yescharacteristic
270C4×#125C2214yes—
271C4×#125C2212yes—
272C4×#126C2212yes—
273C4×#126C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×#123C2212yes—
282#2298C2214yes—
283#2298C2214yes—
284#2298C2212yes—
285#2295C2212yes—
286#2295C2214yes—
287#2295C2212yes—
288#2285C2211yescharacteristic
289#2283C2211yescharacteristic
290#2276C2212yes—
291C42×Q8C2212yes—
292C42×Q8C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×Q8C2312yes—
300#557—28no—
301#552—28no—
302#533—28no—
303C2×C4⋊Q8—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#123C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332#519—216no—
333C2×C4×Q8C2314yes—
334C2×C4×Q8C2314yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2314yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2314yes—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C42C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2312yes—
372#401C2314yes—
373#401C2314yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#399C2312yes—
403#399C2314yes—
404#398C2312yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2312yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
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#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2312yes—
438#397C2312yes—
439#397C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#394C2312yes—
448#394C2312yes—
449#393C2314yes—
450#391C2311yescharacteristic
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2314yes—
455#391C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2311yescharacteristic
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2312yes—
470#391C2314yes—
471#391C2312yes—
472#391C2314yes—
473#391C2314yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2312yes—
483#389C2312yes—
484#389C2314yes—
485#389C2314yes—
486#389C2312yes—
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2312yes—
491#389C2312yes—
492#389C2311yescharacteristic
493#389C2314yes—
494#389C2314yes—
495#389C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2314yes—
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2311yescharacteristic
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2314yes—
553#388C2312yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#387C2312yes—
562#387C2312yes—
563#387C2312yes—
564#387C2312yes—
565#387C2312yes—
566#387C2312yes—
567#387C2312yes—
568#387C2314yes—
569#387C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2314yes—
576#387C2312yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
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#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#386C2312yes—
647#386C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2312yes—
654#385C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2312yes—
660#385C2314yes—
661#384C2311yescharacteristic
662#384C2311yescharacteristic
663#384C2312yes—
664#384C2311yescharacteristic
665#384C2312yes—
666#384C2312yes—
667#384C2314yes—
668#383C2312yes—
669#383C2312yes—
670#383C2314yes—
671#383C2314yes—
672#383C2314yes—
673#383C2314yes—
674#383C2312yes—
675#383C2314yes—
676#383C2314yes—
677#383C2314yes—
678#382C2311yescharacteristic
679#382C2312yes—
680#382C2311yescharacteristic
681#382C2312yes—
682#382C2314yes—
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2312yes—
686#382C2314yes—
687#382C2311yescharacteristic
688#382C2314yes—
689#382C2314yes—
690#382C2312yes—
691#382C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2314yes—
695#382C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2312yes—
699#381C2312yes—
700#380C2311yescharacteristic
701#380C2311yescharacteristic
702#380C2311yescharacteristic
703#380C2311yescharacteristic
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2314yes—
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2312yes—
713#380C2312yes—
714#380C2311yescharacteristic
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2312yes—
805#376C2314yes—
806#376C2312yes—
807#376C2314yes—
808#376C2312yes—
809C2×#95C2312yes—
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2314yes—
815C22×Q8—28no—
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×D4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2414yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C4⋊Q8—28no—
835C4⋊Q8—28no—
836C4⋊Q8—28no—
837C4⋊Q8—28no—
838C4⋊Q8—28no—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—44no—
842C4⋊Q8#4118yes—
843#126—28no—
844#126—28no—
845#125—28no—
846#125—24no—
847#125—216no—
848#125—28no—
849#125—28no—
850#125—44no—
851#125—42no—
852#125—44no—
853#123—28no—
854C22⋊Q8—28no—
855C22⋊Q8—24no—
856C22⋊Q8—24no—
857C22⋊Q8—24no—
858C22⋊Q8—28no—
859C22⋊Q8—24no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—24no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—24no—
871C4×Q8—28no—
872C4×Q8—216no—
873C4×Q8—216no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—42no—
880C4×Q8—42no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×D4—24no—
884C4×D4—24no—
885C4×D4—42no—
886#117—28no—
887#117—28no—
888#117—216no—
889#117—216no—
890#117—28no—
891#117—28no—
892#117—42no—
893#117#4118yes—
894C2×C4⋊C4—28no—
895C2×C4⋊C4—28no—
896C2×C4⋊C4—24no—
897C2×C4⋊C4—42no—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C42—24no—
1005C2×C42—24no—
1006C2×C42—44no—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2412yes—
1013C2×C42C2414yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2414yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148C24C2511yescharacteristic
1149C24C2511yescharacteristic
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—28no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—22no—
1157C2×Q8—28no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—22no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—44no—
1166C2×Q8—432no—
1167C2×Q8C2×#4118yes—
1168C2×Q82−1+414yes—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—41no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—28no—
1175C22×C4—24no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—28no—
1183C22×C4—24no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—42no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—44no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4C2×#4114yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2514yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C4⋊C4—22no—
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—28no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—41no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4C2×#4118yes—
1312C4⋊C4C2×#4114yes—
1313C4⋊C4C2×#4118yes—
1314C4⋊C4C2×#4114yes—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—22no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—22no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—22no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4C2×#4118yes—
1337C22⋊C42−1+414yes—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—28no—
1345C42—28no—
1346C42—28no—
1347C42—24no—
1348C42—24no—
1349C42—28no—
1350C42—28no—
1351C42—24no—
1352C42—22no—
1353C42—28no—
1354C42—24no—
1355C42—24no—
1356C42—24no—
1357C42—24no—
1358C42—22no—
1359C42—24no—
1360C42—22no—
1361C42—24no—
1362C42—24no—
1363C42—24no—
1364C42—24no—
1365C42—22no—
1366C42—22no—
1367C42—24no—
1368C42—42no—
1369C42—42no—
1370C42—42no—
1371C42—41no—
1372C42—44no—
1373C42—42no—
1374C42—42no—
1375C42—42no—
1376C42—44no—
1377C42—42no—
1378C42—44no—
1379C42—44no—
1380C42—42no—
1381C42—44no—
1382C42—44no—
1383C42C2×#4114yes—
1384C42C2×#4118yes—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23C22×#4112yes—
1398C23C2×2−1+412yes—
1399C23C2611yescharacteristic
1400Q8—216no—
1401Q8—28no—
1402Q8—416no—
1403Q8—44no—
1404Q8—48no—
1405Q8—48no—
1406D4—44no—
1407C2×C4—22no—
1408C2×C4—21no—
1409C2×C4—24no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—24no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—28no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—48no—
1496C2×C4—416no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—84no—
1501C2×C4C22×#4114yes—
1502C2×C4C22×#4114yes—
1503C2×C4C22×#4112yes—
1504C2×C4C22×#4118yes—
1505C2×C4C22×#4112yes—
1506C2×C4C22×#4112yes—
1507C2×C4C22×#4112yes—
1508C2×C4C22×#4112yes—
1509C2×C4C2×2−1+412yes—
1510C2×C4C2×2−1+412yes—
1511C2×C4C2×2−1+414yes—
1512C2×C4C2×2−1+412yes—
1513C2×C4#58512yes—
1514C2×C4#58512yes—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22C23×#4111yescharacteristic
1530C22C23×#4111yescharacteristic
1531C22C22×2−1+411yescharacteristic
1532C22C22×2−1+411yescharacteristic
1533C22C2×#58511yescharacteristic
1534C22C2×#58511yescharacteristic
1535C222−1+611yescharacteristic
1536C4—22no—
1537C4—22no—
1538C4—24no—
1539C4—22no—
1540C4—24no—
1541C4—24no—
1542C4—22no—
1543C4—28no—
1544C4—42no—
1545C4—42no—
1546C4—41no—
1547C4—41no—
1548C4—42no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—41no—
1553C4—41no—
1554C4—44no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—41no—
1559C4—41no—
1560C4—44no—
1561C4—42no—
1562C4—41no—
1563C4—42no—
1564C4—44no—
1565C4—42no—
1566C4—42no—
1567C4#347514yes—
1568C4#351614yes—
1569C2—42no—
1570C2—42no—
1571C2C2×#347511yescharacteristic
1572C2C2×#351611yescharacteristic
1573C2#6280511yescharacteristic
1574C2#6296711yescharacteristic
1575C2#6299811yescharacteristic
1576C2#6300111yescharacteristic
1577C2#6303211yescharacteristic
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. #59694C2semidirect
3. #59506C2semidirect
4. #59467C2semidirect
5. #59456C2semidirect
7. #59144C2semidirect
8. #59071C2semidirect
9. #45179C2semidirect
11. #44798C2semidirect
12. #44516C2semidirect
13. #40303C2semidirect
14. #39526C2semidirect
15. #39478C2semidirect
16. #39067C2semidirect
18. #38943C2semidirect
19. #36552C2semidirect
20. #36512C2semidirect
21. #36481C2semidirect
22. #36408C2semidirect
23. #36408C2semidirect
24. #36313C2semidirect
25. #36313C2semidirect
28. #35870C2semidirect
29. #34916C2semidirect
31. #34262C2semidirect
32. #34235C2semidirect
33. #34209C2semidirect
34. C4×#557C2semidirect

Maximal subgroups

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

subgroupindex
#596942
#595612
#595062
#594672
#594562
#594002
#591442
#590712
#451792
#451172
#447982
#445162
#403032
#395262
#394782
#390672
#390222
#389432
#365522
#365122
#364812
#364082
#363132
#361292
#359972
#358702
#349162
#348982
#342622
#342352
#342092
C4×#5572
C4×#5522