Finite Group Databasebeta

← #7681162

Subgroups — #7681162

Order 512.

4767 conjugacy classes of subgroups.

The subgroup lattice has 1679 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59707C214yesmaximal, complemented
2#59704C214yesmaximal, complemented
3#59434C212yesmaximal, complemented
4#59432C212yesmaximal, complemented
5#59431C212yesmaximal, complemented
6#59429C212yesmaximal, complemented
7#45085C212yesmaximal, complemented
8#45058C212yesmaximal, complemented
9#44984C212yesmaximal, complemented
10#44983C212yesmaximal, complemented
11#43248C214yesmaximal, complemented
12#43203C214yesmaximal, complemented
13#39299C212yesmaximal, complemented
14#39295C212yesmaximal, complemented
15#39293C212yesmaximal, complemented
16#39292C212yesmaximal, complemented
17#39156C212yesmaximal, complemented
18#39153C212yesmaximal, complemented
19#36503C212yesmaximal, complemented
20#36480C212yesmaximal, complemented
21#35566C211yesmaximal, characteristic, complemented
22#35544C211yesmaximal, characteristic, complemented
23#35542C211yesmaximal, characteristic
24#35532C211yesmaximal, characteristic, complemented
25#35267C211yesmaximal, characteristic, complemented
26#35267C211yesmaximal, characteristic, complemented
27#35253C211yesmaximal, characteristic, complemented
28#34813C211yesmaximal, characteristic
29C2×#2497C211yesmaximal, characteristic, complemented
30#34272C211yesmaximal, characteristic, complemented
31#34252C211yesmaximal, characteristic, complemented
32#34214C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic
34#34109C211yesmaximal, characteristic, complemented
35C4×#544C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C22×#117C2211yescharacteristic
42#2863C2212yescomplemented
43#2863C2212yescomplemented
44#2860C2212yescomplemented
45#2860C2212yescomplemented
46#2857C2212yes—
47#2851C2212yes—
48#2805C2214yescomplemented
49#2800C2214yes—
50#2798C2214yescomplemented
51#2793C2214yes—
52#2789C2214yescomplemented
53#2788C2214yes—
54#2788C2214yescomplemented
55#2787C2214yes—
56#2783C2214yes—
57#2777C2214yes—
58#2777C2214yescomplemented
59#2777C2214yescomplemented
60#2776C2214yescomplemented
61#2767C2214yescomplemented
62#2767C2214yescomplemented
63#2759C2214yes—
64#2758C2214yescomplemented
65#2740C2214yes—
66#2740C2214yes—
67#2727C2214yes—
68#2716C2214yescomplemented
69#2715C2214yes—
70#2700C2214yes—
71#2689C2214yescomplemented
72#2645C2212yescomplemented
73#2645C2212yescomplemented
74#2644C2212yescomplemented
75#2644C2212yescomplemented
76#2629C2212yes—
77#2628C2212yes—
78#2605C2214yescomplemented
79#2605C2214yescomplemented
80#2604C2214yes—
81#2601C2214yes—
82#2599C2214yescomplemented
83#2596C2214yescomplemented
84#2594C2214yes—
85#2594C2214yescomplemented
86#2584C2212yescomplemented
87#2584C2212yescomplemented
88#2581C2214yescomplemented
89#2573C2214yes—
90#2570C2214yescomplemented
91#2567C2212yescomplemented
92#2567C2212yescomplemented
93#2566C2212yescomplemented
94#2565C2212yescomplemented
95#2563C2212yes—
96#2562C2212yes—
97#2562C2212yes—
98#2560C2214yes—
99#2552C2212yescomplemented
100#2551C2212yescomplemented
101#2550C2212yescomplemented
102#2550C2212yescomplemented
103#2549C2214yes—
104#2547C2212yes—
105#2546C2212yescomplemented
106#2545C2214yes—
107#2542C2212yescomplemented
108#2538C2214yes—
109#2533C2214yescomplemented
110#2528C2214yescomplemented
111#2527C2214yes—
112#2527C2214yescomplemented
113#2525C2214yes—
114#2525C2214yescomplemented
115#2524C2214yescomplemented
116#2514C2214yescomplemented
117#2510C2214yes—
118#2510C2214yes—
119#2509C2214yescomplemented
120#2499C2214yescomplemented
121#2497C2212yes—
122#2497C2212yes—
123#2497C2212yes—
124#2497C2212yes—
125#2497C2212yes—
126#2497C2212yes—
127#2497C2212yes—
128#2497C2212yes—
129#2497C2212yes—
130#2497C2212yes—
131#2497C2212yescomplemented
132#2497C2212yescomplemented
133#2496C2212yes—
134#2496C2212yes—
135#2496C2212yescomplemented
136#2496C2212yescomplemented
137#2495C2212yes—
138#2495C2212yes—
139#2495C2212yescomplemented
140#2495C2212yescomplemented
141#2494C2212yes—
142#2494C2212yes—
143#2494C2212yescomplemented
144#2494C2212yescomplemented
145#2493C2214yes—
146#2492C2211yescharacteristic
147#2492C2211yescharacteristic
148#2492C2212yes—
149#2491C2212yes—
150#2491C2211yescharacteristic
151#2491C2211yescharacteristic
152#2490C2211yescharacteristic
153#2490C2212yes—
154#2490C2211yescharacteristic
155#2489C2212yes—
156#2489C2211yescharacteristic
157#2489C2211yescharacteristic
158#2488C2212yes—
159#2488C2214yes—
160#2488C2212yes—
161#2481C2214yes—
162#2481C2214yes—
163#2480C2214yes—
164#2474C2214yes—
165#2474C2214yes—
166#2472C2212yes—
167#2472C2214yes—
168#2472C2212yes—
169#2469C2214yes—
170#2469C2214yescomplemented
171#2466C2214yes—
172#2465C2214yes—
173#2465C2214yes—
174#2465C2214yescomplemented
175#2449C2214yes—
176#2449C2214yes—
177#2448C2214yes—
178#2442C2212yes—
179#2441C2212yes—
180#2441C2212yescomplemented
181#2441C2212yescomplemented
182#2440C2212yes—
183#2440C2214yes—
184#2440C2212yescomplemented
185#2440C2212yescomplemented
186#2439C2212yes—
187#2439C2214yes—
188#2438C2214yes—
189#2437C2214yes—
190#2421C2214yescomplemented
191#2415C2214yes—
192#2398C2212yes—
193#2398C2212yes—
194C2×#400C2212yes—
195C2×#396C2212yes—
196#2373C2214yescomplemented
197#2370C2212yescomplemented
198#2370C2212yescomplemented
199#2369C2212yescomplemented
200#2368C2214yes—
201#2367C2214yes—
202#2365C2214yescomplemented
203#2365C2212yescomplemented
204#2360C2214yes—
205#2360C2214yes—
206#2360C2214yes—
207#2359C2214yes—
208#2358C2214yes—
209#2357C2212yescomplemented
210#2356C2212yescomplemented
211#2355C2212yescomplemented
212#2355C2212yescomplemented
213#2355C2212yescomplemented
214#2354C2212yes—
215#2354C2212yescomplemented
216#2352C2212yes—
217#2352C2212yes—
218Q8×C4⋊C4C2212yescomplemented
219Q8×C4⋊C4C2212yescomplemented
220D4×C4⋊C4C2212yes—
221#2347C2214yes—
222#2347C2211yescharacteristic
223#2347C2211yescharacteristic
224#2347C2212yescomplemented
225#2346C2211yescharacteristic
226#2346C2211yescharacteristic
227#2346C2212yescomplemented
228#2345C2211yescharacteristic
229#2345C2211yescharacteristic
230#2345C2212yescomplemented
231#2344C2211yescharacteristic
232#2344C2211yescharacteristic
233#2344C2212yescomplemented
234#2343C2212yes—
235#2343C2212yes—
236#2342C2212yes—
237#2342C2212yes—
238#2331C2212yescomplemented
239#2331C2212yescomplemented
240#2331C2212yescomplemented
241#2330C2212yescomplemented
242#2330C2212yescomplemented
243#2330C2212yescomplemented
244#2330C2212yescomplemented
245#2330C2212yescomplemented
246#2329C2214yes—
247#2324C2212yes—
248#2323C2212yes—
249#2318C2214yes—
250#2317C2211yescharacteristic
251#2317C2211yescharacteristic
252#2317C2211yescharacteristic
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2316C2211yescharacteristic
256#2316C2211yescharacteristic
257#2311C2211yescharacteristic
258#2311C2211yescharacteristic
259#2311C2211yescharacteristic
260C4×C4⋊Q8C2212yescomplemented
261C4×C4⋊Q8C2212yescomplemented
262C4×C4⋊Q8C2212yescomplemented
263C4×C4⋊Q8C2212yescomplemented
264C4×C4⋊Q8C2212yescomplemented
265C4×#125C2212yescomplemented
266C4×#125C2212yescomplemented
267C4×#125C2212yescomplemented
268C4×#124C2212yes—
269C4×#124C2212yes—
270C4×C22⋊Q8C2214yes—
271C4×C22⋊Q8C2212yes—
272C4×#121C2212yes—
273#2298C2212yes—
274#2298C2212yes—
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2211yescharacteristic
279C2×#389C2211yescharacteristic
280C2×#389C2211yescharacteristic
281#2290C2214yes—
282C2×#388C2212yes—
283C2×#387C2212yes—
284C2×#384C2211yescharacteristic
285#2283C2212yes—
286#2280C2211yescharacteristic
287#2280C2211yescharacteristic
288C2×#380C2211yescharacteristic
289C2×#380C2211yescharacteristic
290#2274C2211yescharacteristic
291#2274C2211yescharacteristic
292#2274C2211yescharacteristic
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C24×C4C2311yescharacteristic
301#544—28no—
302#544—28no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2314yes—
323#525—28no—
324C2×#123C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#120C2312yes—
337#520—28no—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2314yes—
343C2×C4×Q8C2314yes—
344C2×C4×Q8C2314yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×#117—28no—
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2314yes—
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C42C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386#401C2314yes—
387#401C2314yes—
388#401C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2312yes—
456#394C2312yes—
457#394C2312yes—
458#394C2312yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2312yes—
463#393C2312yes—
464#393C2312yes—
465#393C2312yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2314yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2312yes—
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2314yes—
487#390C2312yes—
488#390C2314yes—
489#390C2311yescharacteristic
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2314yes—
494#390C2311yescharacteristic
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2312yes—
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2312yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
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#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2314yes—
664#384C2312yes—
665#384C2312yes—
666#384C2312yes—
667#384C2312yes—
668#384C2312yes—
669#384C2314yes—
670#384C2312yes—
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#383C2314yes—
675#383C2312yes—
676#383C2312yes—
677#383C2314yes—
678#383C2314yes—
679#383C2314yes—
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2314yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2314yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#381C2312yes—
692#381C2314yes—
693#381C2312yes—
694#381C2312yes—
695#381C2312yes—
696#380C2312yes—
697#380C2311yescharacteristic
698#380C2311yescharacteristic
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2311yescharacteristic
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2311yescharacteristic
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2314yes—
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#379C2312yes—
725#379C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2311yescharacteristic
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806C2×#95C2312yes—
807C2×#95C2311yescharacteristic
808C2×#95C2311yescharacteristic
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C43C2312yes—
814C43C2312yes—
815C43C2312yes—
816C25C2411yescharacteristic
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2414yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C23×C4—24no—
830C23×C4—24no—
831C23×C4—24no—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2411yescharacteristic
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—28no—
853C4⋊Q8—28no—
854C4⋊Q8—28no—
855C4⋊Q8—28no—
856C4⋊Q8—48no—
857#126—48no—
858#126—84no—
859#126—84no—
860#125—24no—
861#125—24no—
862#125—28no—
863#125—28no—
864#125—28no—
865#125—28no—
866#124—28no—
867#124—44no—
868#124—84no—
869#123—28no—
870C22⋊Q8—24no—
871C22⋊Q8—24no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—216no—
875C22⋊Q8—216no—
876C22⋊Q8—84no—
877C22⋊Q8—84no—
878C22⋊Q8—84no—
879#121—24no—
880#121—24no—
881#120—28no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—28no—
885C4×Q8—84no—
886C4×Q8—84no—
887C4×Q8—84no—
888C4×Q8—84no—
889C4×D4—216no—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—84no—
894#117—24no—
895#117—24no—
896#117—24no—
897#117—24no—
898#117—24no—
899#117—24no—
900#117—24no—
901#117—28no—
902#117—28no—
903#117—28no—
904#117—28no—
905#117—44no—
906#117—84no—
907#117#4118yes—
908#117#4118yes—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—24no—
911C2×C4⋊C4—24no—
912C2×C4⋊C4—24no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—24no—
915C2×C4⋊C4—28no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4—82no—
918C2×C4⋊C4—82no—
919C2×C4⋊C4—82no—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C22⋊C4—28no—
990C2×C22⋊C4—24no—
991C2×C22⋊C4—42no—
992C2×C22⋊C4—82no—
993C2×C22⋊C4—82no—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C42—24no—
1043C2×C42—24no—
1044C2×C42—28no—
1045C2×C42—82no—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24—22no—
1165C24—22no—
1166C24—22no—
1167C24—22no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24C2511yescharacteristic
1172C24C2512yes—
1173C24C2511yescharacteristic
1174C24C2511yescharacteristic
1175#41—416no—
1176C2×Q8—22no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—28no—
1181C2×Q8—28no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—44no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—28no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—416no—
1255C22×C4C2×#4114yes—
1256C22×C4C2×#4114yes—
1257C22×C42−1+414yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2514yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—28no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4C2×#4114yes—
1355C4⋊C4C2×#4114yes—
1356C4⋊C4C2×#4114yes—
1357C4⋊C4C2×#4114yes—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—22no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—28no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—24no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4C2×#4118yes—
1404C22⋊C4C2×#4118yes—
1405C22⋊C42−1+414yes—
1406C42—24no—
1407C42—24no—
1408C42—24no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—28no—
1414C42—24no—
1415C42—24no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—44no—
1427C42—44no—
1428C42—42no—
1429C42—44no—
1430C42—44no—
1431C42—42no—
1432C42—42no—
1433C42—44no—
1434C42—42no—
1435C42—42no—
1436C42—42no—
1437C42—44no—
1438C42—44no—
1439C42—42no—
1440C42—42no—
1441C42—44no—
1442C42C2×#4118yes—
1443C42C2×#4118yes—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—22no—
1456C23—21no—
1457C23—22no—
1458C23—22no—
1459C23—21no—
1460C23—21no—
1461C23—22no—
1462C23—22no—
1463C23—21no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—21no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—82no—
1473C23—82no—
1474C23—82no—
1475C23C22×#4112yes—
1476C23C22×#4112yes—
1477C23C2×2−1+412yes—
1478C23C2×2−1+412yes—
1479C23C2611yescharacteristic
1480Q8—48no—
1481Q8—48no—
1482Q8—44no—
1483Q8—88no—
1484Q8—88no—
1485D4—48no—
1486D4—48no—
1487D4—44no—
1488D4—84no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—48no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—84no—
1580C2×C4—88no—
1581C2×C4—84no—
1582C2×C4—84no—
1583C2×C4—84no—
1584C2×C4—82no—
1585C2×C4—84no—
1586C2×C4#556116yes—
1587C2×C4C22×#4114yes—
1588C2×C4C22×#4114yes—
1589C2×C4C22×#4114yes—
1590C2×C4C22×#4114yes—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4C22×#4112yes—
1595C2×C4C2×2−1+412yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4C2×2−1+412yes—
1598C2×C4C2×2−1+412yes—
1599C2×C4#58512yes—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—42no—
1614C22—41no—
1615C22—41no—
1616C22—42no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—42no—
1624C22—41no—
1625C22—41no—
1626C22—42no—
1627C22—88no—
1628C22C2×#55614yes—
1629C22C23×#4111yescharacteristic
1630C22C23×#4111yescharacteristic
1631C22C22×2−1+411yescharacteristic
1632C22C22×2−1+411yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22H(7,𝔽2)11yescharacteristic
1635C22H(7,𝔽2)11yescharacteristic
1636C4—22no—
1637C4—24no—
1638C4—22no—
1639C4—24no—
1640C4—24no—
1641C4—24no—
1642C4—22no—
1643C4—42no—
1644C4—41no—
1645C4—42no—
1646C4—41no—
1647C4—44no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—44no—
1654C4—44no—
1655C4—42no—
1656C4—42no—
1657C4—41no—
1658C4—41no—
1659C4—44no—
1660C4—42no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—42no—
1665C4C2×#55614yes—
1666C4C2×#55614yes—
1667C2—24no—
1668C2—42no—
1669C2—82no—
1670C2—81no—
1671C2C22×#55611yescharacteristic
1672C2#6280511yescharacteristic
1673C2#6285811yescharacteristic
1674C2#6292911yescharacteristic
1675C2#6294511yescharacteristic
1676C2#6300011yescharacteristic
1677C2#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. #59707C2semidirect
2. #59704C2semidirect
3. #59434C2semidirect
4. #59432C2semidirect
5. #59431C2semidirect
6. #59429C2semidirect
7. #45085C2semidirect
8. #45058C2semidirect
9. #44984C2semidirect
10. #44983C2semidirect
11. #43248C2semidirect
12. #43203C2semidirect
13. #39299C2semidirect
14. #39295C2semidirect
15. #39293C2semidirect
16. #39292C2semidirect
17. #39156C2semidirect
18. #39153C2semidirect
19. #36503C2semidirect
20. #36480C2semidirect
21. #35566C2semidirect
22. #35544C2semidirect
24. #35532C2semidirect
25. #35267C2semidirect
26. #35267C2semidirect
27. #35253C2semidirect
29. C2×#2497C2semidirect
30. #34272C2semidirect
31. #34252C2semidirect
32. #34214C2semidirect
34. #34109C2semidirect
35. C4×#544C2semidirect
42. #2863C22semidirect
43. #2863C22semidirect
44. #2860C22semidirect
45. #2860C22semidirect
48. #2805C22semidirect
50. #2798C22semidirect
52. #2789C22semidirect
54. #2788C22semidirect
58. #2777C22semidirect
59. #2777C22semidirect
60. #2776C22semidirect
61. #2767C22semidirect
62. #2767C22semidirect
64. #2758C22semidirect
68. #2716C22semidirect
71. #2689C22semidirect
72. #2645C22semidirect
73. #2645C22semidirect
74. #2644C22semidirect
75. #2644C22semidirect
78. #2605C22semidirect
79. #2605C22semidirect
82. #2599C22semidirect
83. #2596C22semidirect
85. #2594C22semidirect
86. #2584C22semidirect
87. #2584C22semidirect
88. #2581C22semidirect
90. #2570C22semidirect
91. #2567C22semidirect
92. #2567C22semidirect
93. #2566C22semidirect
94. #2565C22semidirect
99. #2552C22semidirect
100. #2551C22semidirect
101. #2550C22semidirect
102. #2550C22semidirect
105. #2546C22semidirect
107. #2542C22semidirect
109. #2533C22semidirect
110. #2528C22semidirect
112. #2527C22semidirect
114. #2525C22semidirect
115. #2524C22semidirect
116. #2514C22semidirect
119. #2509C22semidirect
120. #2499C22semidirect
131. #2497C22semidirect
132. #2497C22semidirect
135. #2496C22semidirect
136. #2496C22semidirect
139. #2495C22semidirect
140. #2495C22semidirect
143. #2494C22semidirect
144. #2494C22semidirect
170. #2469C22semidirect
174. #2465C22semidirect
180. #2441C22semidirect
181. #2441C22semidirect
184. #2440C22semidirect
185. #2440C22semidirect
190. #2421C22semidirect
196. #2373C22semidirect
197. #2370C22semidirect
198. #2370C22semidirect
199. #2369C22semidirect
202. #2365C22semidirect
203. #2365C22semidirect
209. #2357C22semidirect
210. #2356C22semidirect
211. #2355C22semidirect
212. #2355C22semidirect
213. #2355C22semidirect
215. #2354C22semidirect
218. Q8×C4⋊C4C22semidirect
219. Q8×C4⋊C4C22semidirect
224. #2347C22semidirect
227. #2346C22semidirect
230. #2345C22semidirect
233. #2344C22semidirect
238. #2331C22semidirect
239. #2331C22semidirect
240. #2331C22semidirect
241. #2330C22semidirect
242. #2330C22semidirect
243. #2330C22semidirect
244. #2330C22semidirect
245. #2330C22semidirect
260. C4×C4⋊Q8C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×C4⋊Q8C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×#125C22semidirect
266. C4×#125C22semidirect
267. C4×#125C22semidirect

Maximal subgroups

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

subgroupindex
#597072
#597042
#594342
#594322
#594312
#594292
#450852
#450582
#449842
#449832
#432482
#432032
#392992
#392952
#392932
#392922
#391562
#391532
#365032
#364802
#355662
#355442
#355422
#355322
#352672
#352532
#348132
C2×#24972
#342722
#342522
#342142
#342022
#341092
C4×#5442