Finite Group Databasebeta

← #7682806

Subgroups — #7682806

Order 512.

4771 conjugacy classes of subgroups.

The subgroup lattice has 1687 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59706C214yesmaximal, complemented
2#59703C214yesmaximal, complemented
3#59430C212yesmaximal, complemented
4#59430C212yesmaximal, complemented
5#59429C212yesmaximal, complemented
6#59427C212yesmaximal, complemented
7#59251C212yesmaximal, complemented
8#59247C212yesmaximal, complemented
9#59245C212yesmaximal, complemented
10#59218C212yesmaximal, complemented
11#45329C212yesmaximal, complemented
12#45232C212yesmaximal, complemented
13#45218C212yesmaximal, complemented
14#45165C212yesmaximal, complemented
15#45085C212yesmaximal, complemented
16#45037C212yesmaximal, complemented
17#44983C212yesmaximal, complemented
18#44911C212yesmaximal, complemented
19#43691C214yesmaximal, complemented
20#43203C214yesmaximal, complemented
21#35566C211yesmaximal, characteristic, complemented
22#35557C211yesmaximal, characteristic, complemented
23#35545C211yesmaximal, characteristic, complemented
24#35544C211yesmaximal, characteristic, complemented
25#35542C211yesmaximal, characteristic
26#35519C211yesmaximal, characteristic, complemented
27#34813C211yesmaximal, characteristic
28C2×#2497C211yesmaximal, characteristic, complemented
29#34739C211yesmaximal, characteristic, complemented
30#34272C211yesmaximal, characteristic, complemented
31#34252C211yesmaximal, characteristic, complemented
32#34214C211yesmaximal, characteristic, complemented
33#34213C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic
35#34180C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C22×#117C2211yescharacteristic
42#2810C2214yescomplemented
43#2800C2214yes—
44#2798C2214yes—
45#2798C2214yescomplemented
46#2793C2214yes—
47#2788C2214yes—
48#2788C2214yes—
49#2788C2214yescomplemented
50#2783C2214yes—
51#2783C2214yescomplemented
52#2783C2214yescomplemented
53#2777C2214yes—
54#2776C2214yescomplemented
55#2767C2214yescomplemented
56#2762C2214yescomplemented
57#2762C2214yescomplemented
58#2758C2214yescomplemented
59#2745C2214yescomplemented
60#2740C2214yes—
61#2727C2214yes—
62#2716C2214yescomplemented
63#2715C2214yes—
64#2700C2214yes—
65#2700C2214yes—
66#2604C2214yescomplemented
67#2601C2214yes—
68#2601C2214yes—
69#2601C2214yes—
70#2594C2214yes—
71#2594C2214yescomplemented
72#2592C2214yes—
73#2588C2214yescomplemented
74#2588C2214yescomplemented
75#2588C2214yescomplemented
76#2584C2212yescomplemented
77#2584C2212yescomplemented
78#2582C2212yescomplemented
79#2581C2214yescomplemented
80#2581C2212yescomplemented
81#2580C2212yescomplemented
82#2577C2214yes—
83#2573C2214yes—
84#2573C2214yescomplemented
85#2570C2214yescomplemented
86#2568C2214yescomplemented
87#2567C2212yescomplemented
88#2563C2212yes—
89#2562C2212yes—
90#2562C2212yes—
91#2552C2212yescomplemented
92#2551C2212yescomplemented
93#2550C2212yescomplemented
94#2550C2212yescomplemented
95#2549C2214yes—
96#2547C2212yes—
97#2546C2212yescomplemented
98#2545C2214yes—
99#2538C2214yes—
100#2538C2212yescomplemented
101#2533C2214yescomplemented
102#2532C2214yes—
103#2532C2214yescomplemented
104#2528C2214yescomplemented
105#2527C2214yes—
106#2523C2214yescomplemented
107#2521C2214yes—
108#2514C2212yescomplemented
109#2513C2212yescomplemented
110#2512C2212yescomplemented
111#2512C2212yescomplemented
112#2512C2212yescomplemented
113#2511C2212yescomplemented
114#2511C2212yescomplemented
115#2511C2212yescomplemented
116#2510C2214yes—
117#2509C2214yescomplemented
118#2497C2212yes—
119#2497C2212yes—
120#2497C2212yes—
121#2497C2212yes—
122#2497C2212yes—
123#2497C2212yes—
124#2497C2212yes—
125#2497C2212yes—
126#2497C2212yes—
127#2497C2212yes—
128#2497C2212yescomplemented
129#2497C2212yescomplemented
130#2497C2212yescomplemented
131#2496C2212yes—
132#2496C2212yes—
133#2496C2212yescomplemented
134#2496C2212yescomplemented
135#2496C2214yescomplemented
136#2496C2212yescomplemented
137#2495C2212yes—
138#2495C2212yes—
139#2495C2212yescomplemented
140#2494C2212yes—
141#2494C2212yes—
142#2494C2212yescomplemented
143#2493C2214yes—
144#2492C2211yescharacteristic
145#2492C2211yescharacteristic
146#2492C2212yes—
147#2491C2212yes—
148#2491C2211yescharacteristic
149#2491C2211yescharacteristic
150#2490C2211yescharacteristic
151#2490C2212yes—
152#2490C2211yescharacteristic
153#2489C2212yes—
154#2489C2211yescharacteristic
155#2489C2211yescharacteristic
156#2488C2212yes—
157#2488C2214yes—
158#2488C2212yes—
159#2485C2214yes—
160#2481C2214yes—
161#2481C2214yes—
162#2481C2214yes—
163#2480C2214yes—
164#2478C2214yescomplemented
165#2472C2212yes—
166#2472C2214yes—
167#2472C2212yes—
168#2469C2214yes—
169#2469C2214yes—
170#2469C2214yescomplemented
171#2466C2214yes—
172#2465C2214yes—
173#2465C2214yescomplemented
174#2450C2214yes—
175#2449C2214yes—
176#2442C2211yescharacteristic
177#2442C2211yescharacteristic
178#2442C2212yescomplemented
179#2441C2211yescharacteristic
180#2441C2211yescharacteristic
181#2441C2212yescomplemented
182#2440C2211yescharacteristic
183#2440C2211yescharacteristic
184#2440C2214yes—
185#2440C2212yescomplemented
186#2439C2214yes—
187#2439C2211yescharacteristic
188#2439C2211yescharacteristic
189#2439C2212yescomplemented
190#2438C2212yes—
191#2438C2212yes—
192#2437C2212yes—
193#2437C2212yes—
194#2398C2212yes—
195#2398C2212yes—
196#2396C2212yes—
197#2396C2212yes—
198C2×#400C2212yes—
199C2×#396C2212yes—
200#2370C2212yescomplemented
201#2370C2212yescomplemented
202#2370C2212yescomplemented
203#2370C2212yescomplemented
204#2369C2212yescomplemented
205#2369C2212yescomplemented
206#2368C2214yes—
207#2367C2214yes—
208#2365C2212yescomplemented
209#2365C2212yescomplemented
210#2362C2214yes—
211#2362C2214yescomplemented
212#2360C2214yes—
213#2360C2214yes—
214#2360C2214yes—
215#2359C2214yes—
216#2358C2214yes—
217#2357C2212yescomplemented
218#2356C2214yescomplemented
219#2356C2212yescomplemented
220#2355C2212yescomplemented
221#2355C2212yescomplemented
222#2355C2212yescomplemented
223#2355C2212yescomplemented
224#2355C2212yescomplemented
225#2355C2212yescomplemented
226#2354C2212yes—
227#2354C2212yescomplemented
228#2352C2212yes—
229#2352C2212yes—
230Q8×C4⋊C4C2212yescomplemented
231Q8×C4⋊C4C2212yescomplemented
232Q8×C4⋊C4C2212yescomplemented
233D4×C4⋊C4C2212yes—
234#2347C2212yes—
235#2347C2212yescomplemented
236#2346C2212yes—
237#2346C2212yescomplemented
238#2345C2212yes—
239#2345C2212yescomplemented
240#2344C2212yes—
241#2344C2212yescomplemented
242#2343C2214yes—
243#2342C2214yes—
244#2331C2212yescomplemented
245#2330C2212yescomplemented
246#2330C2212yescomplemented
247#2330C2212yescomplemented
248#2329C2214yes—
249#2324C2212yes—
250#2323C2212yes—
251#2318C2214yes—
252#2317C2211yescharacteristic
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2316C2211yescharacteristic
258#2314C2212yes—
259#2314C2212yes—
260#2311C2211yescharacteristic
261#2311C2211yescharacteristic
262#2311C2211yescharacteristic
263C4×C4⋊Q8C2212yescomplemented
264C4×C4⋊Q8C2212yescomplemented
265C4×C4⋊Q8C2212yescomplemented
266C4×#125C2212yescomplemented
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×C22⋊Q8C2214yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×#121C2212yes—
274#2297C2211yescharacteristic
275#2297C2211yescharacteristic
276#2296C2211yescharacteristic
277#2296C2211yescharacteristic
278C2×#389C2211yescharacteristic
279C2×#389C2211yescharacteristic
280#2290C2214yes—
281C2×#388C2212yes—
282C2×#387C2212yes—
283#2285C2212yes—
284#2285C2211yescharacteristic
285C2×#384C2211yescharacteristic
286#2283C2212yes—
287#2280C2211yescharacteristic
288#2280C2211yescharacteristic
289C2×#380C2211yescharacteristic
290C2×#380C2211yescharacteristic
291#2274C2211yescharacteristic
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C24×C4C2311yescharacteristic
301#544—28no—
302#533—28no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324#525—28no—
325C2×#123C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#120C2312yes—
339#520—28no—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2314yes—
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2314yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×#117—28no—
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2314yes—
366C2×#117C2314yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C42C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2312yes—
389#401C2314yes—
390#401C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#399C2314yes—
415#399C2312yes—
416#399C2312yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2312yes—
425#398C2312yes—
426#398C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2312yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2312yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2312yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2312yes—
465#394C2312yes—
466#394C2312yes—
467#394C2312yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2312yes—
472#393C2312yes—
473#393C2312yes—
474#393C2312yes—
475#393C2312yes—
476#393C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#391C2312yes—
500#390C2314yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2312yes—
650#386C2312yes—
651#386C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#384C2312yes—
670#384C2312yes—
671#384C2314yes—
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2312yes—
680#384C2311yescharacteristic
681#383C2314yes—
682#383C2314yes—
683#383C2314yes—
684#383C2314yes—
685#382C2312yes—
686#382C2314yes—
687#382C2314yes—
688#382C2314yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2311yescharacteristic
696#382C2312yes—
697#381C2314yes—
698#381C2314yes—
699#381C2312yes—
700#381C2312yes—
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2312yes—
714#380C2311yescharacteristic
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2314yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#379C2312yes—
732#379C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2311yescharacteristic
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C43C2312yes—
816C25C2411yescharacteristic
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C23×C4—24no—
831C23×C4—24no—
832C23×C4—24no—
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853C4⋊Q8—24no—
854C4⋊Q8—24no—
855C4⋊Q8—28no—
856C4⋊Q8—28no—
857C4⋊Q8—84no—
858#126—84no—
859#126—84no—
860#126—84no—
861#126—84no—
862#125—24no—
863#125—24no—
864#125—24no—
865#125—24no—
866#125—28no—
867#125—28no—
868#124—28no—
869#124—44no—
870#124—84no—
871#123—28no—
872C22⋊Q8—24no—
873C22⋊Q8—24no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—216no—
879C22⋊Q8—28no—
880C22⋊Q8—44no—
881C22⋊Q8—48no—
882#121—24no—
883#121—24no—
884#120—28no—
885C4×Q8—28no—
886C4×Q8—28no—
887C4×Q8—28no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—48no—
891C4×Q8—84no—
892C4×Q8—84no—
893C4×Q8—84no—
894C4×D4—216no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—84no—
899#117—24no—
900#117—24no—
901#117—24no—
902#117—24no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—28no—
907#117—28no—
908#117—28no—
909#117—84no—
910#117—84no—
911#117#4118yes—
912#117#4118yes—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—24no—
915C2×C4⋊C4—24no—
916C2×C4⋊C4—24no—
917C2×C4⋊C4—24no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—82no—
922C2×C4⋊C4—82no—
923C2×C4⋊C4—82no—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C22⋊C4—28no—
999C2×C22⋊C4—24no—
1000C2×C22⋊C4—42no—
1001C2×C22⋊C4—82no—
1002C2×C22⋊C4—82no—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C42—24no—
1052C2×C42—24no—
1053C2×C42—28no—
1054C2×C42—82no—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089#95C2414yes—
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167C24—22no—
1168C24—22no—
1169C24—22no—
1170C24—22no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24C2511yescharacteristic
1175C24C2512yes—
1176C24C2511yescharacteristic
1177C24C2511yescharacteristic
1178#41—416no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—28no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—44no—
1194C2×Q8—42no—
1195C2×Q8—44no—
1196C2×Q8—42no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—28no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—41no—
1256C22×C4—44no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—416no—
1261C22×C4C2×#4114yes—
1262C22×C4C2×#4114yes—
1263C22×C42−1+414yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2514yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—28no—
1337C4⋊C4—24no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4C2×#4114yes—
1366C4⋊C4C2×#4114yes—
1367C4⋊C4C2×#4114yes—
1368C4⋊C4C2×#4114yes—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—22no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—24no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4C2×#4118yes—
1415C22⋊C4C2×#4118yes—
1416C22⋊C42−1+414yes—
1417C42—24no—
1418C42—24no—
1419C42—24no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—28no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—42no—
1444C42—44no—
1445C42—42no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42C2×#4118yes—
1450C42C2×#4118yes—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—21no—
1464C23—22no—
1465C23—22no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—22no—
1470C23—21no—
1471C23—22no—
1472C23—21no—
1473C23—22no—
1474C23—21no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—82no—
1480C23—82no—
1481C23—82no—
1482C23C22×#4112yes—
1483C23C22×#4112yes—
1484C23C2×2−1+412yes—
1485C23C2×2−1+412yes—
1486C23C2611yescharacteristic
1487Q8—48no—
1488Q8—48no—
1489Q8—48no—
1490Q8—44no—
1491Q8—88no—
1492Q8—84no—
1493D4—48no—
1494D4—48no—
1495D4—44no—
1496D4—84no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—48no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—48no—
1587C2×C4—84no—
1588C2×C4—88no—
1589C2×C4—82no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4#556116yes—
1595C2×C4C22×#4114yes—
1596C2×C4C22×#4114yes—
1597C2×C4C22×#4114yes—
1598C2×C4C22×#4114yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4112yes—
1603C2×C4C2×2−1+412yes—
1604C2×C4C2×2−1+412yes—
1605C2×C4C2×2−1+412yes—
1606C2×C4C2×2−1+412yes—
1607C2×C4#58512yes—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—41no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—41no—
1631C22—42no—
1632C22—41no—
1633C22—41no—
1634C22—42no—
1635C22—88no—
1636C22C2×#55614yes—
1637C22C23×#4111yescharacteristic
1638C22C23×#4111yescharacteristic
1639C22C22×2−1+411yescharacteristic
1640C22C22×2−1+411yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22H(7,𝔽2)11yescharacteristic
1643C22H(7,𝔽2)11yescharacteristic
1644C4—24no—
1645C4—24no—
1646C4—22no—
1647C4—22no—
1648C4—24no—
1649C4—22no—
1650C4—24no—
1651C4—41no—
1652C4—44no—
1653C4—41no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—41no—
1659C4—41no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4—44no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—44no—
1669C4—44no—
1670C4—41no—
1671C4—41no—
1672C4—42no—
1673C4C2×#55614yes—
1674C4C2×#55614yes—
1675C2—24no—
1676C2—42no—
1677C2—82no—
1678C2—81no—
1679C2C22×#55611yescharacteristic
1680C2#6283711yescharacteristic
1681C2#6288111yescharacteristic
1682C2#6299411yescharacteristic
1683C2#6300011yescharacteristic
1684C2#6300011yescharacteristic
1685C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59706C2semidirect
2. #59703C2semidirect
3. #59430C2semidirect
4. #59430C2semidirect
5. #59429C2semidirect
6. #59427C2semidirect
7. #59251C2semidirect
8. #59247C2semidirect
9. #59245C2semidirect
10. #59218C2semidirect
11. #45329C2semidirect
12. #45232C2semidirect
13. #45218C2semidirect
14. #45165C2semidirect
15. #45085C2semidirect
16. #45037C2semidirect
17. #44983C2semidirect
18. #44911C2semidirect
19. #43691C2semidirect
20. #43203C2semidirect
21. #35566C2semidirect
22. #35557C2semidirect
23. #35545C2semidirect
24. #35544C2semidirect
26. #35519C2semidirect
28. C2×#2497C2semidirect
29. #34739C2semidirect
30. #34272C2semidirect
31. #34252C2semidirect
32. #34214C2semidirect
33. #34213C2semidirect
35. #34180C2semidirect
42. #2810C22semidirect
45. #2798C22semidirect
49. #2788C22semidirect
51. #2783C22semidirect
52. #2783C22semidirect
54. #2776C22semidirect
55. #2767C22semidirect
56. #2762C22semidirect
57. #2762C22semidirect
58. #2758C22semidirect
59. #2745C22semidirect
62. #2716C22semidirect
66. #2604C22semidirect
71. #2594C22semidirect
73. #2588C22semidirect
74. #2588C22semidirect
75. #2588C22semidirect
76. #2584C22semidirect
77. #2584C22semidirect
78. #2582C22semidirect
79. #2581C22semidirect
80. #2581C22semidirect
81. #2580C22semidirect
84. #2573C22semidirect
85. #2570C22semidirect
86. #2568C22semidirect
87. #2567C22semidirect
91. #2552C22semidirect
92. #2551C22semidirect
93. #2550C22semidirect
94. #2550C22semidirect
97. #2546C22semidirect
100. #2538C22semidirect
101. #2533C22semidirect
103. #2532C22semidirect
104. #2528C22semidirect
106. #2523C22semidirect
108. #2514C22semidirect
109. #2513C22semidirect
110. #2512C22semidirect
111. #2512C22semidirect
112. #2512C22semidirect
113. #2511C22semidirect
114. #2511C22semidirect
115. #2511C22semidirect
117. #2509C22semidirect
128. #2497C22semidirect
129. #2497C22semidirect
130. #2497C22semidirect
133. #2496C22semidirect
134. #2496C22semidirect
135. #2496C22semidirect
136. #2496C22semidirect
139. #2495C22semidirect
142. #2494C22semidirect
164. #2478C22semidirect
170. #2469C22semidirect
173. #2465C22semidirect
178. #2442C22semidirect
181. #2441C22semidirect
185. #2440C22semidirect
189. #2439C22semidirect
200. #2370C22semidirect
201. #2370C22semidirect
202. #2370C22semidirect
203. #2370C22semidirect
204. #2369C22semidirect
205. #2369C22semidirect
208. #2365C22semidirect
209. #2365C22semidirect
211. #2362C22semidirect
217. #2357C22semidirect
218. #2356C22semidirect
219. #2356C22semidirect
220. #2355C22semidirect
221. #2355C22semidirect
222. #2355C22semidirect
223. #2355C22semidirect
224. #2355C22semidirect
225. #2355C22semidirect
227. #2354C22semidirect
230. Q8×C4⋊C4C22semidirect
231. Q8×C4⋊C4C22semidirect
232. Q8×C4⋊C4C22semidirect
235. #2347C22semidirect
237. #2346C22semidirect
239. #2345C22semidirect
241. #2344C22semidirect
244. #2331C22semidirect
245. #2330C22semidirect
246. #2330C22semidirect
247. #2330C22semidirect
263. C4×C4⋊Q8C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×#125C22semidirect

Maximal subgroups

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

subgroupindex
#597062
#597032
#594302
#594292
#594272
#592512
#592472
#592452
#592182
#453292
#452322
#452182
#451652
#450852
#450372
#449832
#449112
#436912
#432032
#355662
#355572
#355452
#355442
#355422
#355192
#348132
C2×#24972
#347392
#342722
#342522
#342142
#342132
#342022
#341802