Finite Group Databasebeta

← #7671682

Subgroups — #7671682

Order 512.

4698 conjugacy classes of subgroups.

The subgroup lattice has 1635 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59673C211yesmaximal, characteristic, complemented
2#59660C211yesmaximal, characteristic, complemented
3#59593C212yesmaximal, complemented
4#59575C212yesmaximal, complemented
5#59574C212yesmaximal, complemented
6#59451C211yesmaximal, characteristic, complemented
7#59437C211yesmaximal, characteristic, complemented
8#59404C212yesmaximal, complemented
9#59245C211yesmaximal, characteristic, complemented
10#59212C211yesmaximal, characteristic
11#59079C211yesmaximal, characteristic, complemented
12#59052C211yesmaximal, characteristic, complemented
13#40269C214yesmaximal, complemented
14#39318C214yesmaximal, complemented
15#39250C212yesmaximal, complemented
16#39224C212yesmaximal, complemented
17#38680C214yesmaximal, complemented
18#36638C211yesmaximal, characteristic, complemented
19#36494C212yesmaximal, complemented
20#36484C214yesmaximal, complemented
21#36451C212yesmaximal, complemented
22#36450C212yesmaximal, complemented
23#36393C212yesmaximal, complemented
24#36387C212yesmaximal, complemented
25#36294C212yesmaximal, complemented
26#35647C212yesmaximal, complemented
27#35636C212yesmaximal, complemented
28#35204C212yesmaximal, complemented
29#35187C211yesmaximal, characteristic, complemented
30#35170C211yesmaximal, characteristic, complemented
31#34332C211yesmaximal, characteristic, complemented
32#34317C211yesmaximal, characteristic, complemented
33#34285C212yesmaximal, complemented
34C4×#533C211yesmaximal, characteristic, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#542C2212yes—
39C2×#533C2211yescharacteristic
40C2×#529C2211yescharacteristic
41#2866C2212yes—
42#2865C2212yes—
43#2865C2214yes—
44#2864C2211yescharacteristic
45#2864C2212yes—
46#2864C2214yes—
47#2863C2211yescharacteristic
48#2863C2212yes—
49#2861C2211yescharacteristic
50#2860C2211yescharacteristic
51#2857C2212yes—
52#2855C2211yescharacteristic
53#2854C2211yescharacteristic
54#2854C2212yes—
55#2853C2212yes—
56#2852C2212yes—
57#2851C2211yescharacteristic
58#2850C2211yescharacteristic
59#2799C2214yes—
60#2794C2214yes—
61#2788C2214yes—
62#2787C2214yes—
63#2779C2214yes—
64#2778C2214yes—
65#2776C2214yes—
66#2773C2214yes—
67#2754C2214yes—
68#2747C2214yes—
69#2747C2214yes—
70#2746C2214yes—
71#2745C2214yes—
72#2732C2214yes—
73#2728C2214yes—
74#2728C2214yes—
75#2663C2214yes—
76#2655C2214yes—
77#2655C2214yes—
78#2654C2214yes—
79#2602C2214yes—
80#2598C2214yes—
81#2597C2214yes—
82#2596C2214yes—
83#2596C2214yes—
84#2596C2214yes—
85#2595C2214yes—
86#2595C2214yes—
87#2590C2214yes—
88#2589C2214yes—
89#2588C2214yes—
90#2588C2214yes—
91#2587C2214yes—
92#2582C2211yescharacteristic
93#2581C2214yes—
94#2579C2214yes—
95#2578C2214yes—
96#2577C2214yes—
97#2577C2214yes—
98#2577C2214yes—
99#2576C2214yes—
100#2576C2214yes—
101#2575C2214yes—
102#2573C2214yes—
103#2571C2211yescharacteristic
104#2570C2212yes—
105#2568C2212yes—
106#2568C2211yescharacteristic
107#2564C2214yes—
108#2557C2214yes—
109#2553C2214yes—
110#2552C2212yes—
111#2551C2211yescharacteristic
112#2550C2212yes—
113#2550C2212yes—
114#2547C2212yes—
115#2547C2211yescharacteristic
116#2546C2211yescharacteristic
117#2542C2212yes—
118#2542C2211yescharacteristic
119#2537C2211yescharacteristic
120#2536C2214yes—
121#2535C2212yes—
122#2531C2214yes—
123#2530C2214yes—
124#2530C2214yes—
125#2529C2214yes—
126#2528C2214yes—
127#2528C2214yes—
128#2528C2214yes—
129#2527C2214yes—
130#2524C2214yes—
131#2524C2214yes—
132#2521C2214yes—
133#2521C2214yes—
134#2514C2212yes—
135#2514C2212yes—
136#2514C2212yes—
137#2514C2214yes—
138#2513C2212yes—
139#2511C2212yes—
140#2509C2212yes—
141#2509C2212yes—
142#2509C2212yes—
143#2508C2212yes—
144#2508C2212yes—
145#2508C2212yes—
146#2504C2212yes—
147#2499C2214yes—
148#2499C2212yes—
149#2498C2214yes—
150#2497C2212yes—
151#2496C2214yes—
152#2496C2212yes—
153#2495C2212yes—
154#2495C2214yes—
155#2494C2212yes—
156#2494C2212yes—
157#2494C2212yes—
158#2492C2212yes—
159#2492C2212yes—
160#2491C2212yes—
161#2489C2212yes—
162#2489C2212yes—
163#2489C2212yes—
164#2489C2212yes—
165#2489C2212yes—
166#2485C2212yes—
167#2481C2214yes—
168#2478C2214yes—
169#2458C2214yes—
170#2457C2214yes—
171#2454C2212yes—
172#2453C2212yes—
173#2448C2212yes—
174#2446C2212yes—
175#2446C2212yes—
176#2442C2212yes—
177#2442C2212yes—
178#2442C2212yes—
179#2442C2212yes—
180#2441C2212yes—
181#2439C2212yes—
182#2429C2212yes—
183#2427C2212yes—
184#2427C2212yes—
185#2427C2212yes—
186#2427C2212yes—
187#2423C2212yes—
188#2423C2214yes—
189#2421C2214yes—
190#2417C2212yes—
191#2415C2212yes—
192#2414C2212yes—
193#2374C2214yes—
194#2370C2212yes—
195#2370C2212yes—
196#2369C2211yescharacteristic
197#2369C2211yescharacteristic
198#2369C2212yes—
199#2368C2214yes—
200#2367C2212yes—
201#2367C2212yes—
202#2365C2212yes—
203#2365C2212yes—
204#2363C2212yes—
205#2363C2212yes—
206#2362C2214yes—
207#2362C2212yes—
208#2362C2212yes—
209#2362C2212yes—
210#2362C2214yes—
211#2361C2212yes—
212#2361C2212yes—
213#2360C2212yes—
214#2360C2214yes—
215#2360C2212yes—
216#2359C2214yes—
217#2357C2212yes—
218#2355C2211yescharacteristic
219#2355C2212yes—
220#2355C2214yes—
221#2354C2211yescharacteristic
222#2352C2214yes—
223#2352C2212yes—
224#2352C2212yes—
225Q8×C4⋊C4C2211yescharacteristic
226D4×C4⋊C4C2212yes—
227D4×C4⋊C4C2211yescharacteristic
228#2347C2214yes—
229#2345C2212yes—
230#2345C2214yes—
231#2345C2212yes—
232#2344C2212yes—
233#2337C2214yes—
234#2334C2214yes—
235#2332C2214yes—
236#2330C2212yes—
237#2329C2214yes—
238#2327C2212yes—
239#2323C2212yes—
240#2323C2212yes—
241#2320C2212yes—
242C4×C4⋊Q8C2211yescharacteristic
243C4×C4⋊Q8C2211yescharacteristic
244C4×C4⋊Q8C2211yescharacteristic
245C4×C4⋊Q8C2211yescharacteristic
246C4×#125C2212yes—
247C4×#125C2211yescharacteristic
248C4×#125C2211yescharacteristic
249C4×#125C2212yes—
250C4×#125C2212yes—
251C4×#125C2211yescharacteristic
252C4×#126C2212yes—
253C4×#126C2212yes—
254C4×#126C2214yes—
255C4×#126C2212yes—
256C4×#124C2211yescharacteristic
257C4×#124C2211yescharacteristic
258C4×#124C2214yes—
259C4×#124C2211yescharacteristic
260C4×C22⋊Q8C2212yes—
261C4×C22⋊Q8C2212yes—
262C4×C22⋊Q8C2211yescharacteristic
263C4×C22⋊Q8C2212yes—
264C4×C22⋊Q8C2212yes—
265C4×C22⋊Q8C2211yescharacteristic
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2211yescharacteristic
268C4×#123C2212yes—
269C4×#123C2212yes—
270C4×#123C2212yes—
271C4×#121C2211yescharacteristic
272C4×#121C2211yescharacteristic
273C4×#121C2211yescharacteristic
274#2298C2212yes—
275#2298C2212yes—
276#2296C2212yes—
277#2295C2212yes—
278#2295C2211yescharacteristic
279#2295C2211yescharacteristic
280#2295C2212yes—
281#2293C2211yescharacteristic
282#2293C2212yes—
283#2293C2211yescharacteristic
284C2×#389C2212yes—
285#2290C2212yes—
286#2290C2212yes—
287#2285C2211yescharacteristic
288#2283C2211yescharacteristic
289#2275C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×Q8C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2212yes—
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299#554—28no—
300#554—28no—
301#542—216no—
302#533—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308#529—28no—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#124C2314yes—
318C2×#124C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2311yescharacteristic
321C2×#123C2314yes—
322C2×#123C2312yes—
323C2×#123C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×#121C2311yescharacteristic
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2314yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2314yes—
373C22×C4⋊C4C2312yes—
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2312yes—
381C22×C42C2311yescharacteristic
382#401C2314yes—
383#401C2314yes—
384#401C2314yes—
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#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#395C2314yes—
437#395C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#393C2314yes—
444#393C2314yes—
445#392C2314yes—
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2311yescharacteristic
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2314yes—
455#391C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2314yes—
461#391C2314yes—
462#391C2312yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2311yescharacteristic
467#391C2311yescharacteristic
468#391C2311yescharacteristic
469#391C2314yes—
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#390C2311yescharacteristic
473#390C2314yes—
474#390C2314yes—
475#390C2311yescharacteristic
476#390C2311yescharacteristic
477#390C2312yes—
478#390C2311yescharacteristic
479#390C2312yes—
480#390C2311yescharacteristic
481#390C2311yescharacteristic
482#389C2312yes—
483#389C2311yescharacteristic
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2311yescharacteristic
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2314yes—
501#389C2312yes—
502#389C2314yes—
503#389C2312yes—
504#389C2314yes—
505#389C2312yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2311yescharacteristic
518#389C2314yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#388C2312yes—
529#388C2314yes—
530#388C2312yes—
531#388C2312yes—
532#388C2312yes—
533#388C2312yes—
534#388C2314yes—
535#388C2312yes—
536#388C2312yes—
537#388C2312yes—
538#388C2312yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2314yes—
581#387C2312yes—
582#387C2312yes—
583#387C2314yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2314yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2312yes—
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#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2312yes—
646#386C2314yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2314yes—
655#386C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2312yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2312yes—
676#384C2314yes—
677#383C2312yes—
678#383C2314yes—
679#383C2312yes—
680#383C2314yes—
681#383C2314yes—
682#382C2312yes—
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2311yescharacteristic
689#382C2312yes—
690#382C2312yes—
691#382C2314yes—
692#382C2314yes—
693#382C2314yes—
694#382C2314yes—
695#382C2314yes—
696#381C2312yes—
697#381C2312yes—
698#381C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2314yes—
702#380C2314yes—
703#380C2312yes—
704#380C2312yes—
705#380C2314yes—
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2312yes—
709#380C2312yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2312yes—
801#376C2314yes—
802#376C2312yes—
803#376C2312yes—
804C2×#95C2314yes—
805C43C2311yescharacteristic
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2314yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2414yes—
824C22×D4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2414yes—
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2412yes—
839C4⋊Q8—28no—
840C4⋊Q8—24no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8#4118yes—
844#126—28no—
845#126—216no—
846#126—44no—
847#125—24no—
848#125—28no—
849#125—28no—
850#125—28no—
851#125—42no—
852#124—24no—
853#124—28no—
854#124—216no—
855#124—42no—
856#123—216no—
857#123—28no—
858#123—44no—
859C22⋊Q8—28no—
860C22⋊Q8—216no—
861C22⋊Q8—216no—
862C22⋊Q8—216no—
863C22⋊Q8—24no—
864C22⋊Q8—24no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—44no—
870#121—24no—
871#121—28no—
872#121—24no—
873#121—44no—
874C4×Q8—28no—
875C4×Q8—28no—
876C4×Q8—24no—
877C4×Q8—28no—
878C4×Q8—24no—
879C4×Q8—24no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×Q8—48no—
883C4×Q8—42no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—48no—
893C4×D4—42no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4#4118yes—
898#117—28no—
899#117—28no—
900#117—28no—
901#117—44no—
902#117—48no—
903#117—44no—
904#117—44no—
905C2×C4⋊C4—28no—
906C2×C4⋊C4—28no—
907C2×C4⋊C4—44no—
908C2×C4⋊C4—48no—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C42—24no—
1018C2×C42—24no—
1019C2×C42—24no—
1020C2×C42—44no—
1021C2×C42—42no—
1022C2×C42—42no—
1023C2×C42—42no—
1024C2×C42—42no—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156C24C2512yes—
1157C24C2512yes—
1158C24C2511yescharacteristic
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—28no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—24no—
1168C2×Q8—22no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—44no—
1172C2×Q8—44no—
1173C2×Q8C2×#4118yes—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—28no—
1177C2×D4—24no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—42no—
1188C2×D4C2×#4114yes—
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—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—28no—
1208C22×C4—28no—
1209C22×C4—24no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—42no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—42no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4C2×#4118yes—
1230C22×C42−1+414yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2514yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4C2×#4118yes—
1328C4⋊C4C2×#4118yes—
1329C4⋊C4C2×#4114yes—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—28no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4C2×#4118yes—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—24no—
1378C42—28no—
1379C42—24no—
1380C42—24no—
1381C42—24no—
1382C42—28no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—24no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—24no—
1395C42—22no—
1396C42—22no—
1397C42—24no—
1398C42—24no—
1399C42—28no—
1400C42—41no—
1401C42—41no—
1402C42—42no—
1403C42—41no—
1404C42—41no—
1405C42—41no—
1406C42—42no—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—42no—
1411C42—44no—
1412C42—44no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—42no—
1417C42—44no—
1418C42—44no—
1419C42—44no—
1420C42C2×#4114yes—
1421C42C2×#4114yes—
1422C23—21no—
1423C23—22no—
1424C23—21no—
1425C23—22no—
1426C23—22no—
1427C23—21no—
1428C23—22no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23C22×#4114yes—
1442C23C2×2−1+412yes—
1443C23C2611yescharacteristic
1444Q8—48no—
1445Q8—44no—
1446Q8—48no—
1447Q8—44no—
1448Q8—88no—
1449D4—28no—
1450D4—48no—
1451D4—44no—
1452D4—88no—
1453D4—84no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—28no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—48no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—48no—
1545C2×C4—48no—
1546C2×C4—88no—
1547C2×C4—88no—
1548C2×C4—84no—
1549C2×C4—164no—
1550C2×C4C22×#4112yes—
1551C2×C4C22×#4112yes—
1552C2×C4C22×#4112yes—
1553C2×C4C22×#4118yes—
1554C2×C4C22×#4114yes—
1555C2×C4C22×#4112yes—
1556C2×C4C22×#4112yes—
1557C2×C4C22×#4112yes—
1558C2×C4C2×2−1+412yes—
1559C2×C4C2×2−1+412yes—
1560C2×C4#58512yes—
1561C2×C4#58512yes—
1562C2×C4#58512yes—
1563C2×C4#58512yes—
1564C22—24no—
1565C22—22no—
1566C22—22no—
1567C22—24no—
1568C22—22no—
1569C22—24no—
1570C22—41no—
1571C22—41no—
1572C22—42no—
1573C22—42no—
1574C22—41no—
1575C22—42no—
1576C22—42no—
1577C22—41no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22C23×#4111yescharacteristic
1586C22C23×#4111yescharacteristic
1587C22C22×2−1+411yescharacteristic
1588C22C2×#58511yescharacteristic
1589C22C2×#58511yescharacteristic
1590C22C2×#58511yescharacteristic
1591C22C2×#58511yescharacteristic
1592C4—22no—
1593C4—22no—
1594C4—24no—
1595C4—28no—
1596C4—22no—
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—42no—
1603C4—42no—
1604C4—44no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—41no—
1610C4—42no—
1611C4—41no—
1612C4—42no—
1613C4—44no—
1614C4—42no—
1615C4—42no—
1616C4—41no—
1617C4—42no—
1618C4—41no—
1619C4—42no—
1620C4—42no—
1621C4—44no—
1622C4#348014yes—
1623C4#351614yes—
1624C2—44no—
1625C2—42no—
1626C2—82no—
1627C2C2×#348011yescharacteristic
1628C2#6278111yescharacteristic
1629C2#6278111yescharacteristic
1630C2C2×#351611yescharacteristic
1631C2#6280511yescharacteristic
1632C2#6282711yescharacteristic
1633C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59212C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59673C2semidirect
2. #59660C2semidirect
3. #59593C2semidirect
4. #59575C2semidirect
5. #59574C2semidirect
6. #59451C2semidirect
7. #59437C2semidirect
8. #59404C2semidirect
9. #59245C2semidirect
11. #59079C2semidirect
12. #59052C2semidirect
13. #40269C2semidirect
14. #39318C2semidirect
15. #39250C2semidirect
16. #39224C2semidirect
17. #38680C2semidirect
18. #36638C2semidirect
19. #36494C2semidirect
20. #36484C2semidirect
21. #36451C2semidirect
22. #36450C2semidirect
23. #36393C2semidirect
24. #36387C2semidirect
25. #36294C2semidirect
26. #35647C2semidirect
27. #35636C2semidirect
28. #35204C2semidirect
29. #35187C2semidirect
30. #35170C2semidirect
31. #34332C2semidirect
32. #34317C2semidirect
33. #34285C2semidirect
34. C4×#533C2semidirect
35. C4×#529C2semidirect

Maximal subgroups

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

subgroupindex
#596732
#596602
#595932
#595752
#595742
#594512
#594372
#594042
#592452
#592122
#590792
#590522
#402692
#393182
#392502
#392242
#386802
#366382
#364942
#364842
#364512
#364502
#363932
#363872
#362942
#356472
#356362
#352042
#351872
#351702
#343322
#343172
#342852
C4×#5332
C4×#5292