Finite Group Databasebeta

← #7688638

Subgroups — #7688638

Order 512.

4570 conjugacy classes of subgroups.

The subgroup lattice has 1612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59718C212yesmaximal, complemented
2#59667C211yesmaximal, characteristic, complemented
3#59658C212yesmaximal
4#59557C212yesmaximal, complemented
5#59505C212yesmaximal, complemented
6#59297C212yesmaximal, complemented
7#59244C212yesmaximal, complemented
8#59244C211yesmaximal, characteristic, complemented
9#59218C211yesmaximal, characteristic, complemented
10#44832C214yesmaximal, complemented
11#43760C214yesmaximal, complemented
12#43743C214yesmaximal, complemented
13#40155C212yesmaximal, complemented
14#40154C212yesmaximal, complemented
15#40011C212yesmaximal, complemented
16#40000C212yesmaximal, complemented
17#39251C212yesmaximal, complemented
18#39239C212yesmaximal, complemented
19#36601C212yesmaximal, complemented
20#36552C211yesmaximal, characteristic, complemented
21Q8×#125C211yesmaximal, characteristic, complemented
22#36416C211yesmaximal, characteristic, complemented
23#36315C211yesmaximal, characteristic, complemented
24#36315C211yesmaximal, characteristic, complemented
25#36314C211yesmaximal, characteristic, complemented
26#36209C211yesmaximal, characteristic, complemented
27#36201C212yesmaximal, complemented
28#36071C214yesmaximal, complemented
29#34978C211yesmaximal, characteristic, complemented
30#34948C211yesmaximal, characteristic, complemented
31#34945C211yesmaximal, characteristic, complemented
32#34328C212yesmaximal, complemented
33#34324C212yesmaximal, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#553C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#556C2212yes—
38C2×#556C2211yescharacteristic
39C2×#553C2211yescharacteristic
40#2864C2212yes—
41#2861C2212yes—
42#2861C2212yes—
43#2859C2211yescharacteristic
44#2859C2212yes—
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2851C2212yes—
48#2851C2212yes—
49#2810C2214yes—
50#2796C2214yes—
51#2796C2214yes—
52#2793C2214yes—
53#2793C2214yes—
54#2790C2214yes—
55#2787C2214yes—
56#2783C2214yes—
57#2772C2214yes—
58#2767C2214yes—
59#2764C2214yes—
60#2762C2214yes—
61#2761C2214yes—
62#2757C2214yes—
63#2755C2214yes—
64#2716C2214yes—
65#2715C2214yes—
66#2715C2214yes—
67#2715C2214yes—
68#2713C2214yes—
69#2711C2214yes—
70#2654C2214yes—
71#2651C2214yes—
72#2637C2214yes—
73#2612C2214yes—
74#2601C2214yes—
75#2596C2214yes—
76#2596C2214yes—
77#2594C2214yes—
78#2590C2214yes—
79#2589C2214yes—
80#2587C2214yes—
81#2581C2212yes—
82#2580C2212yes—
83#2577C2214yes—
84#2573C2214yes—
85#2573C2214yes—
86#2573C2214yes—
87#2571C2211yescharacteristic
88#2571C2211yescharacteristic
89#2570C2214yes—
90#2570C2212yes—
91#2570C2212yes—
92#2569C2214yes—
93#2568C2211yescharacteristic
94#2566C2212yes—
95#2558C2214yes—
96#2552C2211yescharacteristic
97#2552C2211yescharacteristic
98#2552C2212yes—
99#2552C2211yescharacteristic
100#2552C2211yescharacteristic
101#2552C2212yes—
102#2551C2211yescharacteristic
103#2551C2212yes—
104#2547C2211yescharacteristic
105#2538C2212yes—
106#2538C2211yescharacteristic
107#2536C2212yes—
108#2533C2214yes—
109#2533C2214yes—
110#2532C2214yes—
111#2531C2214yes—
112#2531C2214yes—
113#2530C2214yes—
114#2530C2214yes—
115#2529C2214yes—
116#2529C2214yes—
117#2529C2214yes—
118#2529C2214yes—
119#2528C2214yes—
120#2524C2214yes—
121#2524C2214yes—
122#2519C2214yes—
123#2515C2214yes—
124#2514C2212yes—
125#2512C2212yes—
126#2512C2214yes—
127#2512C2212yes—
128#2511C2212yes—
129#2511C2212yes—
130#2508C2212yes—
131#2508C2212yes—
132#2508C2212yes—
133#2507C2214yes—
134#2507C2212yes—
135#2507C2212yes—
136#2507C2214yes—
137#2506C2212yes—
138#2506C2212yes—
139#2505C2214yes—
140#2502C2212yes—
141#2499C2212yes—
142#2497C2212yes—
143#2497C2212yes—
144#2497C2212yes—
145#2496C2212yes—
146#2496C2214yes—
147#2496C2212yes—
148#2495C2212yes—
149#2495C2212yes—
150#2495C2212yes—
151#2494C2212yes—
152#2491C2214yes—
153#2491C2212yes—
154#2490C2212yes—
155#2489C2212yes—
156#2489C2212yes—
157#2489C2212yes—
158#2489C2212yes—
159#2485C2212yes—
160#2485C2212yes—
161#2485C2212yes—
162#2485C2212yes—
163#2485C2212yes—
164#2485C2212yes—
165#2469C2214yes—
166#2469C2214yes—
167#2469C2214yes—
168#2469C2214yes—
169#2468C2214yes—
170#2462C2214yes—
171#2460C2214yes—
172#2458C2214yes—
173#2453C2212yes—
174#2453C2212yes—
175#2451C2212yes—
176#2447C2212yes—
177#2442C2212yes—
178#2442C2212yes—
179#2441C2212yes—
180#2441C2212yes—
181#2441C2212yes—
182#2439C2212yes—
183#2439C2212yes—
184#2439C2212yes—
185#2439C2212yes—
186#2426C2212yes—
187#2426C2212yes—
188#2421C2212yes—
189#2421C2212yes—
190#2421C2212yes—
191#2402C2214yes—
192#2401C2214yes—
193#2396C2214yes—
194#2374C2212yes—
195#2373C2214yes—
196#2373C2214yes—
197#2373C2214yes—
198#2373C2212yes—
199#2373C2212yes—
200#2373C2212yes—
201#2371C2214yes—
202#2371C2214yes—
203#2370C2211yescharacteristic
204#2370C2212yes—
205#2370C2212yes—
206#2367C2214yes—
207#2367C2212yes—
208#2365C2212yes—
209#2365C2211yescharacteristic
210#2365C2211yescharacteristic
211#2365C2212yes—
212#2365C2214yes—
213#2365C2211yescharacteristic
214#2364C2212yes—
215#2363C2211yescharacteristic
216#2362C2212yes—
217#2362C2211yescharacteristic
218#2362C2212yes—
219#2362C2211yescharacteristic
220#2361C2211yescharacteristic
221#2360C2212yes—
222#2357C2211yescharacteristic
223#2356C2212yes—
224#2356C2214yes—
225#2356C2212yes—
226#2356C2212yes—
227#2355C2214yes—
228#2355C2212yes—
229#2355C2212yes—
230#2355C2211yescharacteristic
231#2354C2212yes—
232#2354C2211yescharacteristic
233#2354C2211yescharacteristic
234#2354C2211yescharacteristic
235#2354C2212yes—
236#2353C2212yes—
237#2352C2211yescharacteristic
238Q8×C4⋊C4C2212yes—
239Q8×C4⋊C4C2211yescharacteristic
240Q8×C4⋊C4C2212yes—
241Q8×C4⋊C4C2211yescharacteristic
242#2347C2211yescharacteristic
243#2347C2211yescharacteristic
244#2347C2211yescharacteristic
245#2346C2212yes—
246#2346C2212yes—
247#2346C2212yes—
248#2346C2212yes—
249#2345C2211yescharacteristic
250#2336C2214yes—
251#2336C2214yes—
252#2334C2214yes—
253#2334C2214yes—
254#2327C2214yes—
255#2326C2214yes—
256C4×C4⋊Q8C2211yescharacteristic
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2212yes—
259C4×C4⋊Q8C2212yes—
260C4×#125C2212yes—
261C4×#125C2211yescharacteristic
262C4×#125C2212yes—
263C4×#125C2212yes—
264C4×#125C2212yes—
265C4×#125C2212yes—
266C4×#126C2212yes—
267C4×#126C2212yes—
268C4×#126C2212yes—
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×#123C2212yes—
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279#2296C2212yes—
280#2296C2212yes—
281#2295C2212yes—
282#2295C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2285C2211yescharacteristic
286#2285C2212yes—
287#2285C2211yescharacteristic
288#2283C2212yes—
289#2276C2214yes—
290C42×Q8C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#557—216no—
300#556—216no—
301#556—28no—
302#553—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2314yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#124C2314yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#123C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#121C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2314yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2314yes—
344C2×C4×Q8C2314yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2312yes—
373C22×C42C2312yes—
374#401C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#399C2314yes—
394#399C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#393C2314yes—
442#393C2314yes—
443#393C2314yes—
444#391C2312yes—
445#391C2314yes—
446#391C2314yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2314yes—
454#391C2314yes—
455#391C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2312yes—
461#391C2312yes—
462#390C2312yes—
463#390C2312yes—
464#390C2314yes—
465#390C2314yes—
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2312yes—
469#390C2314yes—
470#390C2312yes—
471#390C2312yes—
472#389C2312yes—
473#389C2312yes—
474#389C2312yes—
475#389C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#389C2311yescharacteristic
480#389C2312yes—
481#389C2311yescharacteristic
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2314yes—
487#389C2314yes—
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2314yes—
494#389C2314yes—
495#389C2312yes—
496#389C2312yes—
497#389C2314yes—
498#389C2314yes—
499#389C2312yes—
500#389C2312yes—
501#389C2314yes—
502#389C2312yes—
503#389C2314yes—
504#389C2312yes—
505#389C2314yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#388C2312yes—
526#388C2312yes—
527#388C2312yes—
528#388C2312yes—
529#388C2312yes—
530#388C2312yes—
531#388C2312yes—
532#388C2312yes—
533#388C2312yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2312yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2314yes—
564#388C2312yes—
565#388C2312yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#386C2312yes—
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#386C2312yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2312yes—
649#385C2312yes—
650#385C2312yes—
651#384C2312yes—
652#384C2311yescharacteristic
653#384C2312yes—
654#384C2311yescharacteristic
655#384C2312yes—
656#384C2314yes—
657#384C2312yes—
658#384C2311yescharacteristic
659#384C2314yes—
660#384C2311yescharacteristic
661#384C2312yes—
662#384C2312yes—
663#383C2312yes—
664#383C2312yes—
665#383C2312yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#382C2312yes—
670#382C2312yes—
671#382C2312yes—
672#382C2312yes—
673#382C2311yescharacteristic
674#382C2312yes—
675#382C2312yes—
676#382C2312yes—
677#382C2314yes—
678#382C2314yes—
679#382C2314yes—
680#382C2314yes—
681#382C2314yes—
682#382C2312yes—
683#382C2312yes—
684#381C2312yes—
685#381C2314yes—
686#380C2312yes—
687#380C2314yes—
688#380C2314yes—
689#380C2311yescharacteristic
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2311yescharacteristic
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2311yescharacteristic
701#380C2311yescharacteristic
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2311yescharacteristic
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C22⋊C4C2311yescharacteristic
775C4×C22⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2314yes—
801#376C2314yes—
802#376C2314yes—
803#376C2314yes—
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808C2×#95C2312yes—
809C43C2312yes—
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2414yes—
817C22×Q8C2411yescharacteristic
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C22×D4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2412yes—
833C4⋊Q8—24no—
834C4⋊Q8—28no—
835C4⋊Q8—216no—
836C4⋊Q8—28no—
837C4⋊Q8—24no—
838#126—28no—
839#126—28no—
840#126—216no—
841#126—28no—
842#126—216no—
843#126—48no—
844#125—216no—
845#125—28no—
846#125—216no—
847#125—44no—
848#125—44no—
849#125—44no—
850#125—44no—
851#125#4118yes—
852#124—216no—
853#124—28no—
854#124—44no—
855#123—28no—
856C22⋊Q8—28no—
857C22⋊Q8—24no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8#4118yes—
861#121—28no—
862#121—24no—
863#121—24no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—216no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—216no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—24no—
874C4×Q8—48no—
875C4×Q8—44no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×D4—28no—
879C4×D4—24no—
880C4×D4—28no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—24no—
884C4×D4—44no—
885C4×D4—42no—
886C4×D4—44no—
887C4×D4—42no—
888#117—28no—
889#117—24no—
890#117—24no—
891#117—28no—
892#117—24no—
893#117—44no—
894#117—42no—
895#117—42no—
896#117—44no—
897#117—42no—
898C2×C4⋊C4—24no—
899C2×C4⋊C4—42no—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C42—24no—
1016C2×C42—24no—
1017C2×C42—44no—
1018C2×C42—44no—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2411yescharacteristic
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148C24C2512yes—
1149C24C2511yescharacteristic
1150C24C2511yescharacteristic
1151C2×Q8—24no—
1152C2×Q8—28no—
1153C2×Q8—24no—
1154C2×Q8—28no—
1155C2×Q8—24no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—22no—
1159C2×Q8—24no—
1160C2×Q8—44no—
1161C2×Q8—42no—
1162C2×Q8C2×#4114yes—
1163C2×D4—24no—
1164C2×D4—22no—
1165C2×D4—24no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—24no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—42no—
1172C2×D4—41no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—22no—
1194C22×C4—41no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—41no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—41no—
1206C22×C4—42no—
1207C22×C4C2×#4114yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2514yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—28no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—28no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4C2×#4114yes—
1311C4⋊C4C2×#4114yes—
1312C4⋊C4C2×#4114yes—
1313C4⋊C4C2×#4118yes—
1314C4⋊C4C2×#4118yes—
1315C4⋊C4C2×#4118yes—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—22no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—28no—
1323C22⋊C4—22no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—22no—
1334C22⋊C4—24no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—41no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4C2×#4118yes—
1355C42—24no—
1356C42—24no—
1357C42—28no—
1358C42—24no—
1359C42—28no—
1360C42—24no—
1361C42—22no—
1362C42—24no—
1363C42—28no—
1364C42—28no—
1365C42—24no—
1366C42—28no—
1367C42—28no—
1368C42—24no—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—22no—
1377C42—24no—
1378C42—24no—
1379C42—28no—
1380C42—24no—
1381C42—22no—
1382C42—24no—
1383C42—24no—
1384C42—42no—
1385C42—42no—
1386C42—42no—
1387C42—42no—
1388C42—42no—
1389C42—42no—
1390C42—41no—
1391C42—42no—
1392C42—42no—
1393C42—42no—
1394C42—44no—
1395C42—42no—
1396C42—42no—
1397C42—41no—
1398C42—42no—
1399C42—44no—
1400C42—42no—
1401C42—42no—
1402C42C2×#4114yes—
1403C422−1+414yes—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—22no—
1412C23—22no—
1413C23—21no—
1414C23—22no—
1415C23—21no—
1416C23—22no—
1417C23—21no—
1418C23—21no—
1419C23—22no—
1420C23—21no—
1421C23—22no—
1422C23—22no—
1423C23—21no—
1424C23C22×#4112yes—
1425C23C2611yescharacteristic
1426Q8—28no—
1427Q8—416no—
1428Q8—48no—
1429Q8—48no—
1430D4—48no—
1431D4—44no—
1432D4—44no—
1433D4—84no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—28no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—24no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—48no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—84no—
1522C2×C4—84no—
1523C2×C4—82no—
1524C2×C4—84no—
1525C2×C4—84no—
1526C2×C4C22×#4112yes—
1527C2×C4C22×#4112yes—
1528C2×C4C22×#4114yes—
1529C2×C4C22×#4114yes—
1530C2×C4C22×#4114yes—
1531C2×C4C22×#4114yes—
1532C2×C4C22×#4112yes—
1533C2×C4C22×#4112yes—
1534C2×C4C22×#4112yes—
1535C2×C4C2×2−1+412yes—
1536C2×C4C2×2−1+412yes—
1537C2×C4C2×2−1+412yes—
1538C2×C4#58512yes—
1539C2×C4#58512yes—
1540C2×C4#58512yes—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—42no—
1549C22—41no—
1550C22—41no—
1551C22—42no—
1552C22—42no—
1553C22—41no—
1554C22—42no—
1555C22—41no—
1556C22—41no—
1557C22—42no—
1558C22—41no—
1559C22—42no—
1560C22—42no—
1561C22—41no—
1562C22C23×#4111yescharacteristic
1563C22C23×#4111yescharacteristic
1564C22C22×2−1+411yescharacteristic
1565C22C2×#58511yescharacteristic
1566C22C2×#58511yescharacteristic
1567C22C2×#58511yescharacteristic
1568C222−1+611yescharacteristic
1569C4—22no—
1570C4—24no—
1571C4—22no—
1572C4—24no—
1573C4—22no—
1574C4—22no—
1575C4—24no—
1576C4—22no—
1577C4—24no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—44no—
1583C4—41no—
1584C4—42no—
1585C4—42no—
1586C4—44no—
1587C4—42no—
1588C4—41no—
1589C4—42no—
1590C4—41no—
1591C4—42no—
1592C4—41no—
1593C4—41no—
1594C4—44no—
1595C4—42no—
1596C4—41no—
1597C4—44no—
1598C4—42no—
1599C4#351514yes—
1600C4#351814yes—
1601C2—42no—
1602C2—82no—
1603C2—81no—
1604C2#41211yescharacteristic
1605C2C2×#351511yescharacteristic
1606C2C2×#351811yescharacteristic
1607C2#6292811yescharacteristic
1608C2#6299511yescharacteristic
1609C2#6300711yescharacteristic
1610C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#553C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59718C2semidirect
2. #59667C2semidirect
4. #59557C2semidirect
5. #59505C2semidirect
6. #59297C2semidirect
7. #59244C2semidirect
8. #59244C2semidirect
9. #59218C2semidirect
10. #44832C2semidirect
11. #43760C2semidirect
12. #43743C2semidirect
13. #40155C2semidirect
14. #40154C2semidirect
15. #40011C2semidirect
16. #40000C2semidirect
17. #39251C2semidirect
18. #39239C2semidirect
19. #36601C2semidirect
20. #36552C2semidirect
21. Q8×#125C2semidirect
22. #36416C2semidirect
23. #36315C2semidirect
24. #36315C2semidirect
25. #36314C2semidirect
26. #36209C2semidirect
27. #36201C2semidirect
28. #36071C2semidirect
29. #34978C2semidirect
30. #34948C2semidirect
31. #34945C2semidirect
32. #34328C2semidirect
33. #34324C2semidirect
34. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#597182
#596672
#596582
#595572
#595052
#592972
#592442
#592182
#448322
#437602
#437432
#401552
#401542
#400112
#400002
#392512
#392392
#366012
#365522
Q8×#1252
#364162
#363152
#363142
#362092
#362012
#360712
#349782
#349482
#349452
#343282
#343242
C4×#5562
C4×#5532