Finite Group Databasebeta

← #7691786

Subgroups — #7691786

Order 512.

4762 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59767C212yesmaximal, complemented
2#59677C212yesmaximal, complemented
3#59604C214yesmaximal, complemented
4#59437C212yesmaximal, complemented
5#59426C211yesmaximal, characteristic, complemented
6#59257C211yesmaximal, characteristic, complemented
7#59229C211yesmaximal, characteristic, complemented
8#59229C212yesmaximal, complemented
9#45166C212yesmaximal, complemented
10#45132C212yesmaximal, complemented
11#44263C214yesmaximal, complemented
12#43819C214yesmaximal, complemented
13#40196C212yesmaximal, complemented
14#40104C212yesmaximal, complemented
15#39181C211yesmaximal, characteristic, complemented
16#39126C211yesmaximal, characteristic, complemented
17#38625C214yesmaximal, complemented
18#37889C212yesmaximal, complemented
19#36544C211yesmaximal, characteristic, complemented
20#36514C212yesmaximal, complemented
21#36480C211yesmaximal, characteristic, complemented
22#36453C211yesmaximal, characteristic, complemented
23#36418C212yesmaximal, complemented
24#36307C212yesmaximal, complemented
25#36301C211yesmaximal, characteristic, complemented
26#36209C211yesmaximal, characteristic, complemented
27#35849C212yesmaximal, complemented
28#35843C212yesmaximal, complemented
29#34974C212yesmaximal, complemented
30#34708C211yesmaximal, characteristic, complemented
31#34332C211yesmaximal, characteristic, complemented
32#34306C212yesmaximal, complemented
33#34242C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35Q8×#117C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#555C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41#2866C2214yes—
42#2864C2212yes—
43#2863C2212yes—
44#2859C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855C2212yes—
48#2851C2212yes—
49#2808C2214yes—
50#2800C2214yes—
51#2787C2214yes—
52#2787C2214yes—
53#2787C2214yes—
54#2781C2214yes—
55#2779C2214yes—
56#2779C2214yes—
57#2775C2214yes—
58#2774C2214yes—
59#2759C2214yes—
60#2759C2214yes—
61#2751C2214yes—
62#2750C2214yes—
63#2745C2214yes—
64#2713C2214yes—
65#2702C2214yes—
66#2686C2214yes—
67#2686C2214yes—
68#2686C2214yes—
69#2681C2214yes—
70#2665C2214yes—
71#2653C2214yes—
72#2647C2212yes—
73#2629C2212yes—
74#2608C2214yes—
75#2605C2214yes—
76#2595C2214yes—
77#2594C2214yes—
78#2592C2212yes—
79#2590C2214yes—
80#2586C2214yes—
81#2584C2212yes—
82#2581C2212yes—
83#2580C2212yes—
84#2578C2214yes—
85#2577C2214yes—
86#2577C2214yes—
87#2576C2214yes—
88#2575C2214yes—
89#2573C2214yes—
90#2572C2214yes—
91#2571C2211yescharacteristic
92#2570C2212yes—
93#2567C2211yescharacteristic
94#2563C2211yescharacteristic
95#2562C2212yes—
96#2559C2214yes—
97#2551C2212yes—
98#2551C2211yescharacteristic
99#2547C2212yes—
100#2547C2214yes—
101#2546C2212yes—
102#2538C2211yescharacteristic
103#2537C2212yes—
104#2537C2211yescharacteristic
105#2536C2212yes—
106#2536C2212yes—
107#2533C2214yes—
108#2533C2214yes—
109#2532C2214yes—
110#2531C2214yes—
111#2529C2214yes—
112#2529C2214yes—
113#2528C2214yes—
114#2528C2214yes—
115#2527C2214yes—
116#2520C2214yes—
117#2516C2214yes—
118#2514C2212yes—
119#2514C2214yes—
120#2512C2212yes—
121#2509C2212yes—
122#2509C2212yes—
123#2509C2212yes—
124#2508C2212yes—
125#2508C2212yes—
126#2503C2212yes—
127#2497C2212yes—
128#2496C2212yes—
129#2495C2212yes—
130#2495C2212yes—
131#2495C2212yes—
132#2495C2212yes—
133#2494C2212yes—
134#2494C2212yes—
135#2494C2212yes—
136#2494C2212yes—
137#2494C2212yes—
138#2493C2214yes—
139#2492C2212yes—
140#2491C2212yes—
141#2491C2214yes—
142#2489C2212yes—
143#2489C2212yes—
144#2485C2212yes—
145#2485C2212yes—
146#2485C2212yes—
147#2485C2212yes—
148#2484C2214yes—
149#2481C2214yes—
150#2481C2212yes—
151#2479C2214yes—
152#2477C2214yes—
153#2476C2214yes—
154#2474C2214yes—
155#2474C2214yes—
156#2474C2214yes—
157#2469C2214yes—
158#2469C2212yes—
159#2465C2214yes—
160#2465C2214yes—
161#2460C2214yes—
162#2458C2212yes—
163#2453C2211yescharacteristic
164#2451C2212yes—
165#2449C2214yes—
166#2448C2211yescharacteristic
167#2446C2214yes—
168#2444C2214yes—
169#2443C2212yes—
170#2442C2211yescharacteristic
171#2442C2212yes—
172#2439C2212yes—
173#2439C2214yes—
174#2439C2212yes—
175#2439C2212yes—
176#2436C2211yescharacteristic
177#2427C2212yes—
178#2426C2211yescharacteristic
179#2426C2212yes—
180#2423C2212yes—
181#2421C2211yescharacteristic
182#2420C2212yes—
183#2420C2212yes—
184#2420C2212yes—
185#2420C2212yes—
186#2416C2211yescharacteristic
187#2416C2212yes—
188#2416C2214yes—
189#2416C2212yes—
190#2415C2212yes—
191#2409C2211yescharacteristic
192#2409C2212yes—
193#2398C2212yes—
194#2396C2212yes—
195#2396C2214yes—
196#2395C2214yes—
197#2373C2214yes—
198#2372C2214yes—
199#2372C2212yes—
200#2372C2212yes—
201#2370C2212yes—
202#2369C2211yescharacteristic
203#2369C2211yescharacteristic
204#2367C2214yes—
205#2365C2212yes—
206#2364C2214yes—
207#2363C2211yescharacteristic
208#2363C2211yescharacteristic
209#2363C2212yes—
210#2363C2212yes—
211#2362C2212yes—
212#2361C2212yes—
213#2360C2212yes—
214#2360C2214yes—
215#2360C2212yes—
216#2357C2212yes—
217#2356C2212yes—
218#2355C2212yes—
219#2355C2211yescharacteristic
220#2355C2212yes—
221#2355C2211yescharacteristic
222#2355C2212yes—
223#2355C2211yescharacteristic
224#2354C2211yescharacteristic
225#2354C2211yescharacteristic
226#2354C2212yes—
227#2354C2211yescharacteristic
228#2352C2212yes—
229#2352C2212yes—
230#2352C2212yes—
231Q8×C4⋊C4C2211yescharacteristic
232Q8×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2212yes—
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2211yescharacteristic
237#2347C2212yes—
238#2347C2212yes—
239#2346C2211yescharacteristic
240#2346C2212yes—
241#2346C2212yes—
242#2346C2211yescharacteristic
243#2346C2212yes—
244#2345C2212yes—
245#2345C2212yes—
246#2345C2212yes—
247#2345C2214yes—
248#2344C2212yes—
249#2344C2212yes—
250#2344C2214yes—
251#2343C2214yes—
252Q8×C22⋊C4C2212yes—
253#2337C2214yes—
254#2335C2214yes—
255#2333C2214yes—
256#2331C2212yes—
257#2330C2212yes—
258#2329C2214yes—
259#2324C2212yes—
260#2314C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×#125C2212yes—
265C4×#126C2214yes—
266C4×#124C2214yes—
267C4×#124C2211yescharacteristic
268C4×#124C2212yes—
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×#121C2212yes—
274C4×#121C2212yes—
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280#2298C2214yes—
281#2295C2211yescharacteristic
282#2295C2212yes—
283#2295C2214yes—
284#2293C2212yes—
285C2×#389C2212yes—
286#2290C2212yes—
287#2285C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2275C2212yes—
291#2274C2212yes—
292C42×Q8C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C23×Q8C2311yescharacteristic
300#555—216no—
301#555—28no—
302#554—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308#529—28no—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2314yes—
315C2×#124C2312yes—
316C2×#124C2314yes—
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#124C2311yescharacteristic
320C2×#123C2312yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2311yescharacteristic
331C2×#121C2312yes—
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2314yes—
337C2×#121C2311yescharacteristic
338C2×C4×Q8—28no—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2314yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×#117C2312yes—
367C2×#117C2314yes—
368C2×#117C2312yes—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2314yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2314yes—
384C22×C42C2312yes—
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2312yes—
388#401C2314yes—
389#401C2314yes—
390#401C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2314yes—
407#399C2314yes—
408#399C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2312yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2312yes—
444#395C2314yes—
445#395C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2312yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#393C2314yes—
459#393C2312yes—
460#393C2314yes—
461#393C2314yes—
462#393C2312yes—
463#393C2314yes—
464#393C2312yes—
465#393C2314yes—
466#391C2312yes—
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2314yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#390C2312yes—
490#390C2311yescharacteristic
491#390C2314yes—
492#390C2311yescharacteristic
493#390C2312yes—
494#390C2312yes—
495#390C2314yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2314yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2311yescharacteristic
546#388C2312yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2312yes—
557#388C2314yes—
558#388C2312yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
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#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2312yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#384C2312yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2312yes—
675#383C2314yes—
676#383C2314yes—
677#383C2314yes—
678#383C2314yes—
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#382C2314yes—
685#382C2312yes—
686#382C2314yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2311yescharacteristic
693#381C2314yes—
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#380C2311yescharacteristic
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2312yes—
710#380C2311yescharacteristic
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C43C2314yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C22×Q8—24no—
816C22×Q8—42no—
817C22×Q8—42no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C4⋊Q8—24no—
848C4⋊Q8—28no—
849C4⋊Q8—24no—
850C4⋊Q8—44no—
851C4⋊Q8—84no—
852#126—28no—
853#126—48no—
854#125—24no—
855#125—28no—
856#125—82no—
857#124—24no—
858#124—216no—
859#124—28no—
860#124—216no—
861#124—28no—
862#124—42no—
863#123—28no—
864C22⋊Q8—24no—
865C22⋊Q8—28no—
866C22⋊Q8—216no—
867C22⋊Q8—44no—
868C22⋊Q8—42no—
869C22⋊Q8—82no—
870C22⋊Q8—82no—
871#121—28no—
872#121—24no—
873#121—28no—
874#121—216no—
875#121—24no—
876#121—44no—
877#121—42no—
878#121—44no—
879#121—84no—
880#121#4118yes—
881C4×Q8—24no—
882C4×Q8—24no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—28no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—84no—
891C4×Q8#4118yes—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—44no—
902C4×D4—42no—
903C4×D4—42no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—84no—
907C4×D4—84no—
908#117—24no—
909#117—28no—
910#117—24no—
911#117—28no—
912#117—24no—
913#117—24no—
914#117—28no—
915#117—216no—
916#117—28no—
917#117—44no—
918#117—44no—
919#117—84no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—28no—
922C2×C4⋊C4—28no—
923C2×C4⋊C4—28no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4—48no—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C42—24no—
1044C2×C42—28no—
1045C2×C42—24no—
1046C2×C42—44no—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2412yes—
1122#95C2411yescharacteristic
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24C2512yes—
1165C24C2511yescharacteristic
1166C24C2512yes—
1167C24C2511yescharacteristic
1168C2×Q8—24no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—24no—
1172C2×Q8—28no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—42no—
1181C2×Q8—44no—
1182C2×Q8—42no—
1183C2×Q8—44no—
1184C2×Q8—42no—
1185C2×Q8—416no—
1186C2×Q8C2×#4114yes—
1187C2×D4—22no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—28no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—41no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—44no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4C2×#4114yes—
1210C2×D4C2×#4118yes—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—28no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—28no—
1236C22×C4—28no—
1237C22×C4—24no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4C2×#4114yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—28no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—41no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4C2×#4114yes—
1350C4⋊C4C2×#4118yes—
1351C4⋊C4C2×#4114yes—
1352C4⋊C42−1+414yes—
1353C22⋊C4—24no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—22no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—28no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—22no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4C2×#4118yes—
1404C42—22no—
1405C42—24no—
1406C42—22no—
1407C42—22no—
1408C42—24no—
1409C42—22no—
1410C42—24no—
1411C42—22no—
1412C42—22no—
1413C42—24no—
1414C42—28no—
1415C42—24no—
1416C42—28no—
1417C42—22no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—22no—
1425C42—24no—
1426C42—24no—
1427C42—22no—
1428C42—42no—
1429C42—42no—
1430C42—44no—
1431C42—42no—
1432C42—42no—
1433C42—42no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—42no—
1441C42—41no—
1442C42—44no—
1443C42C2×#4114yes—
1444C42C2×#4118yes—
1445C23—22no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—21no—
1452C23—22no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—22no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—21no—
1466C23—22no—
1467C23—22no—
1468C23—21no—
1469C23—22no—
1470C23—21no—
1471C23C22×#4112yes—
1472C23C22×#4114yes—
1473C23C2611yescharacteristic
1474Q8—28no—
1475Q8—48no—
1476Q8—44no—
1477Q8—84no—
1478Q8—88no—
1479Q8—84no—
1480D4—28no—
1481D4—48no—
1482D4—44no—
1483D4—44no—
1484D4—84no—
1485D4—84no—
1486D4—88no—
1487D4—84no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—28no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—21no—
1569C2×C4—48no—
1570C2×C4—48no—
1571C2×C4—44no—
1572C2×C4—48no—
1573C2×C4—48no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—84no—
1577C2×C4—88no—
1578C2×C4—82no—
1579C2×C4—82no—
1580C2×C4—88no—
1581C2×C4—84no—
1582C2×C4—88no—
1583C2×C4C22×#4112yes—
1584C2×C4C22×#4114yes—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4114yes—
1587C2×C4C22×#4114yes—
1588C2×C4C22×#4112yes—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4112yes—
1591C2×C4C2×2−1+414yes—
1592C2×C4C2×2−1+412yes—
1593C2×C4#58512yes—
1594C2×C4#58512yes—
1595C2×C4#58512yes—
1596C22—22no—
1597C22—24no—
1598C22—24no—
1599C22—22no—
1600C22—22no—
1601C22—24no—
1602C22—41no—
1603C22—42no—
1604C22—41no—
1605C22—42no—
1606C22—41no—
1607C22—42no—
1608C22—42no—
1609C22—41no—
1610C22—41no—
1611C22—42no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—42no—
1616C22—41no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—42no—
1621C22—41no—
1622C22—42no—
1623C22—41no—
1624C22C23×#4111yescharacteristic
1625C22C23×#4111yescharacteristic
1626C22C22×2−1+411yescharacteristic
1627C22C2×#58511yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22C2×#58511yescharacteristic
1630C22H(7,𝔽2)11yescharacteristic
1631C4—24no—
1632C4—24no—
1633C4—22no—
1634C4—24no—
1635C4—22no—
1636C4—24no—
1637C4—22no—
1638C4—42no—
1639C4—44no—
1640C4—41no—
1641C4—42no—
1642C4—41no—
1643C4—42no—
1644C4—41no—
1645C4—44no—
1646C4—41no—
1647C4—42no—
1648C4—41no—
1649C4—42no—
1650C4—41no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—44no—
1655C4—42no—
1656C4—44no—
1657C4—41no—
1658C4—41no—
1659C4—42no—
1660C4#348214yes—
1661C4#349314yes—
1662C2—42no—
1663C2—44no—
1664C2—81no—
1665C2—82no—
1666C2C2×#348211yescharacteristic
1667C2C2×#349311yescharacteristic
1668C2#6281611yescharacteristic
1669C2#6295111yescharacteristic
1670C2#6299211yescharacteristic
1671C2#6299411yescharacteristic
1672C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59767C2semidirect
2. #59677C2semidirect
3. #59604C2semidirect
4. #59437C2semidirect
5. #59426C2semidirect
6. #59257C2semidirect
7. #59229C2semidirect
8. #59229C2semidirect
9. #45166C2semidirect
10. #45132C2semidirect
11. #44263C2semidirect
12. #43819C2semidirect
13. #40196C2semidirect
14. #40104C2semidirect
15. #39181C2semidirect
16. #39126C2semidirect
17. #38625C2semidirect
18. #37889C2semidirect
19. #36544C2semidirect
20. #36514C2semidirect
21. #36480C2semidirect
22. #36453C2semidirect
23. #36418C2semidirect
24. #36307C2semidirect
25. #36301C2semidirect
26. #36209C2semidirect
27. #35849C2semidirect
28. #35843C2semidirect
29. #34974C2semidirect
30. #34708C2semidirect
31. #34332C2semidirect
32. #34306C2semidirect
33. #34242C2semidirect
34. C4×#555C2semidirect
35. Q8×#117C2semidirect

Maximal subgroups

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

subgroupindex
#597672
#596772
#596042
#594372
#594262
#592572
#592292
#451662
#451322
#442632
#438192
#401962
#401042
#391812
#391262
#386252
#378892
#365442
#365142
#364802
#364532
#364182
#363072
#363012
#362092
#358492
#358432
#349742
#347082
#343322
#343062
#342422
C4×#5552
Q8×#1172