Finite Group Databasebeta

← #7679901

Subgroups — #7679901

Order 512.

4645 conjugacy classes of subgroups.

The subgroup lattice has 1631 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59752C212yesmaximal, complemented
2#59715C212yesmaximal, complemented
3#59643C212yesmaximal, complemented
4#59638C212yesmaximal, complemented
5#59630C212yesmaximal, complemented
6#59485C212yesmaximal, complemented
7#59246C212yesmaximal, complemented
8#59239C212yesmaximal, complemented
9#44747C214yesmaximal, complemented
10#44695C214yesmaximal, complemented
11#43460C214yesmaximal, complemented
12#43441C214yesmaximal, complemented
13#39515C211yesmaximal, characteristic, complemented
14#39515C212yesmaximal, complemented
15#39377C211yesmaximal, characteristic, complemented
16#39374C212yesmaximal, complemented
17#39125C211yesmaximal, characteristic, complemented
18#39124C211yesmaximal, characteristic
19#38277C212yesmaximal, complemented
20#38276C212yesmaximal, complemented
21#36598C211yesmaximal, characteristic, complemented
22Q8×#124C211yesmaximal, characteristic, complemented
23#36314C211yesmaximal, characteristic, complemented
24#36301C211yesmaximal, characteristic, complemented
25#35655C212yesmaximal, complemented
26#35550C212yesmaximal, complemented
27#35344C212yesmaximal, complemented
28#35283C211yesmaximal, characteristic, complemented
29#34945C211yesmaximal, characteristic, complemented
30#34943C211yesmaximal, characteristic, complemented
31#34335C211yesmaximal, characteristic, complemented
32#34334C211yesmaximal, characteristic, complemented
33#34279C212yesmaximal, complemented
34#34151C211yesmaximal, characteristic, complemented
35C4×#542C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#542C2211yescharacteristic
39C2×#542C2212yes—
40C2×#529C2211yescharacteristic
41#2868C2211yescharacteristic
42#2864C2212yes—
43#2864C2212yes—
44#2862C2212yes—
45#2862C2212yes—
46#2862C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2798C2214yes—
50#2798C2214yes—
51#2798C2214yes—
52#2776C2214yes—
53#2773C2214yes—
54#2762C2214yes—
55#2759C2214yes—
56#2759C2214yes—
57#2759C2214yes—
58#2754C2214yes—
59#2751C2214yes—
60#2747C2214yes—
61#2745C2214yes—
62#2741C2214yes—
63#2723C2214yes—
64#2718C2214yes—
65#2716C2214yes—
66#2710C2214yes—
67#2710C2214yes—
68#2696C2214yes—
69#2689C2214yes—
70#2689C2214yes—
71#2674C2214yes—
72#2674C2214yes—
73#2647C2212yes—
74#2628C2212yes—
75#2628C2212yes—
76#2628C2212yes—
77#2628C2212yes—
78#2628C2212yes—
79#2607C2214yes—
80#2607C2214yes—
81#2607C2214yes—
82#2607C2214yes—
83#2605C2214yes—
84#2605C2214yes—
85#2605C2214yes—
86#2605C2214yes—
87#2599C2214yes—
88#2596C2214yes—
89#2595C2214yes—
90#2592C2214yes—
91#2592C2212yes—
92#2589C2214yes—
93#2582C2212yes—
94#2581C2214yes—
95#2581C2212yes—
96#2578C2214yes—
97#2573C2214yes—
98#2572C2214yes—
99#2571C2211yescharacteristic
100#2571C2211yescharacteristic
101#2570C2212yes—
102#2570C2212yes—
103#2568C2212yes—
104#2568C2212yes—
105#2568C2211yescharacteristic
106#2563C2212yes—
107#2563C2211yescharacteristic
108#2563C2211yescharacteristic
109#2563C2212yes—
110#2557C2214yes—
111#2550C2212yes—
112#2547C2211yescharacteristic
113#2547C2212yes—
114#2540C2212yes—
115#2538C2211yescharacteristic
116#2537C2211yescharacteristic
117#2536C2212yes—
118#2535C2212yes—
119#2533C2214yes—
120#2533C2214yes—
121#2532C2214yes—
122#2532C2214yes—
123#2532C2214yes—
124#2531C2214yes—
125#2530C2214yes—
126#2528C2214yes—
127#2527C2214yes—
128#2527C2214yes—
129#2527C2214yes—
130#2524C2214yes—
131#2523C2214yes—
132#2521C2214yes—
133#2521C2214yes—
134#2520C2214yes—
135#2516C2214yes—
136#2514C2212yes—
137#2514C2214yes—
138#2514C2212yes—
139#2511C2212yes—
140#2511C2212yes—
141#2511C2212yes—
142#2511C2214yes—
143#2510C2214yes—
144#2501C2212yes—
145#2499C2212yes—
146#2498C2214yes—
147#2496C2212yes—
148#2495C2212yes—
149#2495C2212yes—
150#2495C2212yes—
151#2495C2212yes—
152#2494C2212yes—
153#2494C2212yes—
154#2494C2212yes—
155#2494C2212yes—
156#2493C2214yes—
157#2492C2212yes—
158#2492C2212yes—
159#2492C2212yes—
160#2492C2214yes—
161#2492C2214yes—
162#2492C2212yes—
163#2491C2212yes—
164#2491C2212yes—
165#2489C2212yes—
166#2488C2214yes—
167#2488C2214yes—
168#2485C2212yes—
169#2477C2214yes—
170#2459C2214yes—
171#2458C2214yes—
172#2451C2212yes—
173#2451C2212yes—
174#2448C2212yes—
175#2448C2214yes—
176#2448C2212yes—
177#2447C2212yes—
178#2446C2214yes—
179#2440C2212yes—
180#2436C2212yes—
181#2423C2212yes—
182#2423C2212yes—
183#2423C2212yes—
184#2422C2212yes—
185#2421C2212yes—
186#2421C2212yes—
187#2421C2212yes—
188#2420C2212yes—
189#2420C2212yes—
190#2420C2212yes—
191#2419C2214yes—
192#2409C2212yes—
193#2401C2214yes—
194#2398C2214yes—
195#2374C2212yes—
196#2374C2212yes—
197#2374C2214yes—
198#2373C2212yes—
199#2373C2212yes—
200#2373C2214yes—
201#2373C2214yes—
202#2372C2214yes—
203#2370C2211yescharacteristic
204#2370C2211yescharacteristic
205#2369C2212yes—
206#2369C2211yescharacteristic
207#2369C2212yes—
208#2368C2214yes—
209#2368C2214yes—
210#2367C2211yescharacteristic
211#2367C2211yescharacteristic
212#2367C2214yes—
213#2365C2211yescharacteristic
214#2365C2212yes—
215#2365C2214yes—
216#2365C2212yes—
217#2363C2211yescharacteristic
218#2363C2211yescharacteristic
219#2362C2214yes—
220#2362C2211yescharacteristic
221#2362C2211yescharacteristic
222#2362C2212yes—
223#2360C2212yes—
224#2359C2214yes—
225#2356C2212yes—
226#2355C2211yescharacteristic
227#2355C2212yes—
228#2355C2211yescharacteristic
229#2355C2212yes—
230#2352C2212yes—
231#2351C2212yes—
232Q8×C4⋊C4C2211yescharacteristic
233#2349C2212yes—
234D4×C4⋊C4C2211yescharacteristic
235#2344C2212yes—
236Q8×C22⋊C4C2212yes—
237Q8×C22⋊C4C2212yes—
238Q8×C22⋊C4C2212yes—
239#2337C2212yes—
240#2335C2212yes—
241#2334C2212yes—
242#2332C2212yes—
243#2331C2211yescharacteristic
244#2331C2212yes—
245#2331C2212yes—
246#2331C2212yes—
247#2331C2214yes—
248#2329C2214yes—
249#2326C2211yescharacteristic
250#2324C2211yescharacteristic
251#2324C2212yes—
252#2323C2211yescharacteristic
253#2323C2212yes—
254#2320C2211yescharacteristic
255#2319C2211yescharacteristic
256#2314C2211yescharacteristic
257#2314C2212yes—
258#2314C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×#126C2212yes—
265C4×#124C2212yes—
266C4×#124C2211yescharacteristic
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2212yes—
273C4×#123C2212yes—
274C4×#121C2211yescharacteristic
275C4×#121C2212yes—
276C4×#121C2212yes—
277#2298C2212yes—
278#2295C2211yescharacteristic
279#2295C2212yes—
280#2295C2212yes—
281#2295C2212yes—
282C2×#391C2212yes—
283#2293C2212yes—
284#2293C2211yescharacteristic
285#2293C2212yes—
286#2290C2212yes—
287#2283C2212yes—
288#2283C2212yes—
289#2283C2212yes—
290#2276C2212yes—
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300Q82—28no—
301D4×Q8—28no—
302#542—28no—
303#542—216no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314#529—28no—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#124C2312yes—
320C2×#124C2311yescharacteristic
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2311yescharacteristic
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2314yes—
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2314yes—
375C22×C4⋊C4C2312yes—
376C22×C42C2311yescharacteristic
377C22×C42C2312yes—
378C22×C42C2312yes—
379#401C2314yes—
380#401C2314yes—
381#401C2314yes—
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#400C2314yes—
400#400C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#396C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#393C2314yes—
440#393C2314yes—
441#393C2314yes—
442#393C2314yes—
443#393C2314yes—
444#393C2314yes—
445#393C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#392C2314yes—
451#391C2314yes—
452#391C2312yes—
453#391C2314yes—
454#391C2312yes—
455#391C2312yes—
456#391C2311yescharacteristic
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2314yes—
464#391C2314yes—
465#391C2311yescharacteristic
466#391C2312yes—
467#391C2314yes—
468#391C2312yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2314yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2314yes—
495#390C2311yescharacteristic
496#390C2312yes—
497#390C2314yes—
498#390C2312yes—
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2314yes—
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2312yes—
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2314yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2314yes—
648#386C2312yes—
649#386C2312yes—
650#386C2314yes—
651#386C2312yes—
652#386C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2312yes—
656#385C2314yes—
657#385C2312yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#384C2311yescharacteristic
666#384C2311yescharacteristic
667#384C2311yescharacteristic
668#384C2312yes—
669#384C2312yes—
670#384C2312yes—
671#384C2312yes—
672#383C2312yes—
673#383C2314yes—
674#383C2314yes—
675#383C2314yes—
676#383C2314yes—
677#383C2314yes—
678#382C2312yes—
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2314yes—
683#382C2312yes—
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#381C2314yes—
694#381C2314yes—
695#381C2314yes—
696#381C2312yes—
697#381C2314yes—
698#380C2311yescharacteristic
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2314yes—
703#380C2312yes—
704#380C2312yes—
705#380C2314yes—
706#380C2312yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2311yescharacteristic
801#376C2311yescharacteristic
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2312yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C22×Q8—28no—
816C22×Q8—44no—
817C22×Q8—44no—
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×Q8C2414yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C4⋊Q8—28no—
843C4⋊Q8—216no—
844C4⋊Q8—24no—
845C4⋊Q8—28no—
846C4⋊Q8—24no—
847C4⋊Q8—28no—
848C4⋊Q8—24no—
849C4⋊Q8—28no—
850C4⋊Q8—44no—
851C4⋊Q8—82no—
852#126—28no—
853#126—28no—
854#126—216no—
855#125—24no—
856#124—24no—
857#124—216no—
858#124—28no—
859#124—44no—
860#124—84no—
861#124#4118yes—
862#123—28no—
863#123—28no—
864#123—216no—
865#123—84no—
866C22⋊Q8—24no—
867C22⋊Q8—24no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—216no—
871C22⋊Q8—216no—
872C22⋊Q8—28no—
873C22⋊Q8—44no—
874C22⋊Q8—82no—
875#121—24no—
876#121—28no—
877#121—24no—
878#121—44no—
879C4×Q8—24no—
880C4×Q8—28no—
881C4×Q8—28no—
882C4×Q8—24no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—42no—
889C4×Q8—42no—
890C4×Q8—84no—
891C4×Q8—82no—
892C4×Q8—84no—
893C4×Q8#4118yes—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—42no—
902C4×D4—42no—
903C4×D4—44no—
904C4×D4—84no—
905#117—28no—
906#117—28no—
907#117—24no—
908#117—24no—
909#117—42no—
910#117—42no—
911#117—84no—
912C2×C4⋊C4—44no—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C42—24no—
1023C2×C42—28no—
1024C2×C42—44no—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2412yes—
1084#95C2412yes—
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2412yes—
1088#95C2414yes—
1089#95C2411yescharacteristic
1090#95C2412yes—
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2414yes—
1094#95C2412yes—
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155C24C2512yes—
1156C24C2511yescharacteristic
1157C24C2512yes—
1158C2×Q8—22no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—28no—
1162C2×Q8—28no—
1163C2×Q8—24no—
1164C2×Q8—28no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8—44no—
1173C2×Q8—44no—
1174C2×Q8—44no—
1175C2×Q8—44no—
1176C2×Q8—44no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×Q8—44no—
1180C2×Q8—816no—
1181C2×Q8C2×#4114yes—
1182C2×Q8C2×#4114yes—
1183C2×D4—28no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—24no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4C2×#4114yes—
1198C22×C4—28no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—28no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—41no—
1226C22×C4—42no—
1227C22×C4—41no—
1228C22×C4—42no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4C2512yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2514yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2514yes—
1251C22×C4C2514yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4C2×#4114yes—
1327C4⋊C4C2×#4118yes—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—22no—
1335C22⋊C4—24no—
1336C22⋊C4—22no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—24no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4C2×#4118yes—
1371C22⋊C4C2×#4118yes—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—22no—
1377C42—28no—
1378C42—24no—
1379C42—24no—
1380C42—28no—
1381C42—24no—
1382C42—24no—
1383C42—24no—
1384C42—22no—
1385C42—24no—
1386C42—22no—
1387C42—24no—
1388C42—22no—
1389C42—24no—
1390C42—22no—
1391C42—22no—
1392C42—42no—
1393C42—42no—
1394C42—41no—
1395C42—42no—
1396C42—41no—
1397C42—42no—
1398C42—42no—
1399C42—42no—
1400C42—42no—
1401C42—42no—
1402C42—44no—
1403C42—44no—
1404C42—44no—
1405C42—42no—
1406C42—42no—
1407C42—44no—
1408C42—42no—
1409C42—44no—
1410C42—41no—
1411C42—42no—
1412C42—44no—
1413C42—41no—
1414C42C2×#4114yes—
1415C42C2×#4114yes—
1416C42C2×#4118yes—
1417C422−1+414yes—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—21no—
1425C23—22no—
1426C23—22no—
1427C23—21no—
1428C23—21no—
1429C23—22no—
1430C23—21no—
1431C23—22no—
1432C23—21no—
1433C23—22no—
1434C23—21no—
1435C23—22no—
1436C23—22no—
1437C23—21no—
1438C23C22×#4114yes—
1439C23C2611yescharacteristic
1440Q8—28no—
1441Q8—28no—
1442Q8—48no—
1443Q8—84no—
1444Q8—88no—
1445Q8—84no—
1446Q8—88no—
1447Q8—88no—
1448D4—28no—
1449D4—44no—
1450D4—84no—
1451D4—84no—
1452D4—88no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—44no—
1536C2×C4—48no—
1537C2×C4—44no—
1538C2×C4—48no—
1539C2×C4—82no—
1540C2×C4—84no—
1541C2×C4—84no—
1542C2×C4—84no—
1543C2×C4—88no—
1544C2×C4—84no—
1545C2×C4—88no—
1546C2×C4C22×#4114yes—
1547C2×C4C22×#4114yes—
1548C2×C4C22×#4112yes—
1549C2×C4C22×#4112yes—
1550C2×C4C22×#4112yes—
1551C2×C4C22×#4114yes—
1552C2×C4C22×#4112yes—
1553C2×C4C22×#4112yes—
1554C2×C4C22×#4112yes—
1555C2×C4C2×2−1+412yes—
1556C2×C4C2×2−1+412yes—
1557C2×C4C2×2−1+412yes—
1558C2×C4#58512yes—
1559C2×C4#58512yes—
1560C22—24no—
1561C22—24no—
1562C22—24no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—41no—
1568C22—42no—
1569C22—42no—
1570C22—41no—
1571C22—41no—
1572C22—42no—
1573C22—41no—
1574C22—42no—
1575C22—42no—
1576C22—41no—
1577C22—42no—
1578C22—41no—
1579C22—42no—
1580C22—41no—
1581C22C23×#4111yescharacteristic
1582C22C23×#4111yescharacteristic
1583C22C22×2−1+411yescharacteristic
1584C22C2×#58511yescharacteristic
1585C22C2×#58511yescharacteristic
1586C22H(7,𝔽2)11yescharacteristic
1587C222−1+611yescharacteristic
1588C4—22no—
1589C4—22no—
1590C4—24no—
1591C4—22no—
1592C4—24no—
1593C4—22no—
1594C4—22no—
1595C4—24no—
1596C4—42no—
1597C4—41no—
1598C4—42no—
1599C4—42no—
1600C4—41no—
1601C4—42no—
1602C4—44no—
1603C4—44no—
1604C4—41no—
1605C4—42no—
1606C4—44no—
1607C4—41no—
1608C4—44no—
1609C4—42no—
1610C4—41no—
1611C4—42no—
1612C4—42no—
1613C4—42no—
1614C4—41no—
1615C4—42no—
1616C4—41no—
1617C4—42no—
1618C4#348214yes—
1619C4#351014yes—
1620C2—44no—
1621C2—81no—
1622C2—82no—
1623C2C2×#348211yescharacteristic
1624C2C2×#351011yescharacteristic
1625C2#6285711yescharacteristic
1626C2#6292911yescharacteristic
1627C2#6295911yescharacteristic
1628C2#6299511yescharacteristic
1629C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39124C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59752C2semidirect
2. #59715C2semidirect
3. #59643C2semidirect
4. #59638C2semidirect
5. #59630C2semidirect
6. #59485C2semidirect
7. #59246C2semidirect
8. #59239C2semidirect
9. #44747C2semidirect
10. #44695C2semidirect
11. #43460C2semidirect
12. #43441C2semidirect
13. #39515C2semidirect
14. #39515C2semidirect
15. #39377C2semidirect
16. #39374C2semidirect
17. #39125C2semidirect
19. #38277C2semidirect
20. #38276C2semidirect
21. #36598C2semidirect
22. Q8×#124C2semidirect
23. #36314C2semidirect
24. #36301C2semidirect
25. #35655C2semidirect
26. #35550C2semidirect
27. #35344C2semidirect
28. #35283C2semidirect
29. #34945C2semidirect
30. #34943C2semidirect
31. #34335C2semidirect
32. #34334C2semidirect
33. #34279C2semidirect
34. #34151C2semidirect
35. C4×#542C2semidirect

Maximal subgroups

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

subgroupindex
#597522
#597152
#596432
#596382
#596302
#594852
#592462
#592392
#447472
#446952
#434602
#434412
#395152
#393772
#393742
#391252
#391242
#382772
#382762
#365982
Q8×#1242
#363142
#363012
#356552
#355502
#353442
#352832
#349452
#349432
#343352
#343342
#342792
#341512
C4×#5422