Finite Group Databasebeta

← #7699939

Subgroups — #7699939

Order 512.

5293 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59938C214yesmaximal, complemented
2#59932C214yesmaximal, complemented
3#59919C212yesmaximal, complemented
4#59809C212yesmaximal, complemented
5#59670C212yesmaximal, complemented
6#59477C212yesmaximal, complemented
7#59459C211yesmaximal, characteristic, complemented
8#59454C212yesmaximal, complemented
9#59452C214yesmaximal, complemented
10#59393C212yesmaximal, complemented
11#59127C211yesmaximal, characteristic, complemented
12#59036C211yesmaximal, characteristic, complemented
13#36564C211yesmaximal, characteristic, complemented
14#36561C211yesmaximal, characteristic, complemented
15#36556C211yesmaximal, characteristic, complemented
16#36554C212yesmaximal, complemented
17#36551C211yesmaximal, characteristic, complemented
18#36547C212yesmaximal, complemented
19#36544C212yesmaximal, complemented
20#36519C212yesmaximal, complemented
21#36481C211yesmaximal, characteristic, complemented
22#36480C212yesmaximal, complemented
23#36479C212yesmaximal, complemented
24#36476C211yesmaximal, characteristic, complemented
25#36363C212yesmaximal, complemented
26#36281C214yesmaximal, complemented
27#36277C212yesmaximal, complemented
28#36129C211yesmaximal, characteristic, complemented
29C4×#554C211yesmaximal, characteristic, complemented
30C4×#553C212yesmaximal
31C4×#553C211yesmaximal, characteristic
32C4×D4×Q8C211yesmaximal, characteristic, complemented
33C4×D4×Q8C212yesmaximal, complemented
34#34145C211yesmaximal, characteristic, complemented
35C2×#2365C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2212yes—
38C2×#553C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic
40C2×D4×Q8C2212yes—
41C2×#533C2211yescharacteristic
42C22×C4⋊Q8C2211yescharacteristic
43C22×C4×Q8C2212yes—
44C22×C4×Q8C2212yes—
45#2864C2212yes—
46#2863C2214yes—
47#2863C2212yes—
48#2862C2211yescharacteristic
49#2857C2212yes—
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2857C2212yes—
53#2855C2212yes—
54#2855C2214yes—
55#2851C2212yes—
56#2851C2214yes—
57#2792C2214yes—
58#2790C2214yes—
59#2780C2214yes—
60#2755C2214yes—
61#2742C2214yes—
62#2713C2214yes—
63#2692C2214yes—
64#2692C2214yes—
65#2677C2214yes—
66#2608C2214yes—
67#2607C2214yes—
68#2607C2214yes—
69#2606C2214yes—
70#2605C2214yes—
71#2605C2214yes—
72#2590C2214yes—
73#2590C2214yes—
74#2589C2214yes—
75#2589C2214yes—
76#2589C2214yes—
77#2589C2214yes—
78#2588C2214yes—
79#2588C2214yes—
80#2588C2214yes—
81#2586C2214yes—
82#2586C2214yes—
83#2586C2214yes—
84#2585C2214yes—
85#2585C2214yes—
86#2584C2212yes—
87#2584C2214yes—
88#2583C2214yes—
89#2580C2214yes—
90#2580C2212yes—
91#2579C2214yes—
92#2574C2214yes—
93#2574C2214yes—
94#2570C2212yes—
95#2569C2214yes—
96#2567C2212yes—
97#2567C2212yes—
98#2567C2211yescharacteristic
99#2564C2214yes—
100#2564C2214yes—
101#2563C2211yescharacteristic
102#2556C2214yes—
103#2556C2214yes—
104#2552C2211yescharacteristic
105#2551C2212yes—
106#2551C2211yescharacteristic
107#2550C2212yes—
108#2550C2212yes—
109#2550C2212yes—
110#2549C2214yes—
111#2549C2214yes—
112#2546C2211yescharacteristic
113#2542C2211yescharacteristic
114#2538C2212yes—
115#2522C2214yes—
116#2522C2214yes—
117#2522C2214yes—
118#2522C2214yes—
119#2520C2214yes—
120#2520C2214yes—
121#2511C2212yes—
122#2509C2212yes—
123#2509C2212yes—
124#2508C2212yes—
125#2507C2212yes—
126#2507C2212yes—
127#2507C2212yes—
128#2506C2212yes—
129#2497C2214yes—
130#2497C2212yes—
131#2492C2212yes—
132#2492C2214yes—
133#2492C2212yes—
134#2492C2212yes—
135#2487C2212yes—
136#2465C2214yes—
137#2465C2214yes—
138#2465C2214yes—
139#2465C2214yes—
140#2465C2214yes—
141#2462C2214yes—
142#2462C2214yes—
143#2454C2212yes—
144#2454C2212yes—
145#2452C2212yes—
146#2452C2212yes—
147#2451C2212yes—
148#2451C2212yes—
149#2451C2212yes—
150#2451C2212yes—
151#2450C2214yes—
152#2450C2214yes—
153#2450C2214yes—
154#2449C2214yes—
155#2449C2214yes—
156#2449C2214yes—
157#2446C2212yes—
158#2446C2212yes—
159#2442C2212yes—
160#2441C2212yes—
161#2440C2212yes—
162#2440C2212yes—
163#2439C2212yes—
164#2439C2212yes—
165#2434C2212yes—
166#2429C2212yes—
167#2429C2212yes—
168#2429C2212yes—
169#2423C2212yes—
170#2423C2212yes—
171#2423C2212yes—
172#2417C2212yes—
173#2417C2212yes—
174#2409C2212yes—
175#2409C2212yes—
176#2409C2212yes—
177#2374C2214yes—
178#2374C2212yes—
179#2373C2212yes—
180#2373C2214yes—
181#2370C2211yescharacteristic
182#2370C2212yes—
183#2370C2212yes—
184#2370C2212yes—
185#2370C2212yes—
186#2370C2212yes—
187#2369C2211yescharacteristic
188#2369C2211yescharacteristic
189#2369C2211yescharacteristic
190#2369C2212yes—
191#2368C2214yes—
192#2368C2212yes—
193#2368C2214yes—
194#2368C2212yes—
195#2365C2212yes—
196#2365C2212yes—
197#2365C2214yes—
198#2365C2214yes—
199#2365C2211yescharacteristic
200#2365C2211yescharacteristic
201#2365C2211yescharacteristic
202#2365C2211yescharacteristic
203#2365C2212yes—
204#2365C2212yes—
205#2365C2211yescharacteristic
206#2365C2212yes—
207#2365C2212yes—
208#2364C2212yes—
209#2364C2214yes—
210#2363C2211yescharacteristic
211#2363C2212yes—
212#2361C2211yescharacteristic
213#2361C2212yes—
214#2360C2212yes—
215#2360C2214yes—
216#2360C2214yes—
217#2360C2214yes—
218#2360C2212yes—
219#2360C2212yes—
220#2360C2211yescharacteristic
221#2360C2212yes—
222#2360C2212yes—
223#2360C2211yescharacteristic
224#2357C2212yes—
225#2357C2211yescharacteristic
226#2355C2211yescharacteristic
227#2355C2212yes—
228#2355C2212yes—
229#2353C2214yes—
230#2353C2212yes—
231#2352C2211yescharacteristic
232#2352C2212yes—
233Q8×C4⋊C4C2212yes—
234Q8×C4⋊C4C2211yescharacteristic
235#2349C2212yes—
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2214yes—
238D4×C4⋊C4C2212yes—
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241#2347C2211yescharacteristic
242#2347C2212yes—
243#2345C2211yescharacteristic
244#2345C2211yescharacteristic
245#2345C2212yes—
246#2345C2211yescharacteristic
247#2345C2212yes—
248Q8×C22⋊C4C2212yes—
249Q8×C22⋊C4C2212yes—
250Q8×C22⋊C4C2212yes—
251C4×C4⋊Q8C2212yes—
252C4×C4⋊Q8C2214yes—
253C4×C4⋊Q8C2211yescharacteristic
254C4×C4⋊Q8C2211yescharacteristic
255C4×C4⋊Q8C2212yes—
256C4×#125C2212yes—
257C4×#125C2212yes—
258C4×#125C2211yescharacteristic
259C4×#126C2214yes—
260C4×#126C2212yes—
261C4×C22⋊Q8C2212yes—
262C4×C22⋊Q8C2212yes—
263C4×C22⋊Q8C2212yes—
264C4×C22⋊Q8C2214yes—
265C4×C22⋊Q8C2214yes—
266C4×C22⋊Q8C2214yes—
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×#123C2212yes—
272C4×#123C2214yes—
273C4×#121C2212yes—
274C4×#121C2214yes—
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2212yes—
278C4×#121C2211yescharacteristic
279#2296C2212yes—
280#2295C2214yes—
281#2295C2212yes—
282C2×#391C2212yes—
283C2×#389C2212yes—
284C2×#387C2214yes—
285C42×Q8C2212yes—
286C42×Q8C2211yescharacteristic
287C42×D4C2212yes—
288C42×D4C2211yescharacteristic
289C42×D4C2211yescharacteristic
290C42×D4C2212yes—
291C42×D4C2212yes—
292C42×D4C2214yes—
293C4×#117C2212yes—
294C4×#117C2211yescharacteristic
295C2×C4×C4⋊C4C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×Q8C2312yes—
300C23×Q8C2312yes—
301#554—28no—
302#554—48no—
303#553Q8116yescomplemented
304D4×Q8—28no—
305D4×Q8—216no—
306#533—28no—
307C2×C4⋊Q8—28no—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2311yescharacteristic
320C2×#126C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2311yescharacteristic
326C2×#123C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×C4×Q8—48no—
348C2×C4×Q8—48no—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2314yes—
361C2×C4×Q8C2314yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2314yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2314yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2314yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2314yes—
394C22×C4⋊C4C2314yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2314yes—
400C22×C42C2312yes—
401C22×C42C2314yes—
402C22×C42C2312yes—
403C22×C42C2312yes—
404C22×C42C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#391C2311yescharacteristic
460#391C2312yes—
461#391C2312yes—
462#391C2314yes—
463#391C2314yes—
464#391C2314yes—
465#391C2312yes—
466#391C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2314yes—
471#391C2312yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#387C2312yes—
579#387C2314yes—
580#387C2314yes—
581#387C2312yes—
582#387C2312yes—
583#387C2314yes—
584#387C2312yes—
585#387C2314yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2314yes—
590#387C2312yes—
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#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2314yes—
672#384C2311yescharacteristic
673#384C2312yes—
674#384C2314yes—
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#383C2312yes—
680#383C2314yes—
681#382C2312yes—
682#382C2312yes—
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2314yes—
686#382C2312yes—
687#381C2314yes—
688#381C2312yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2311yescharacteristic
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2311yescharacteristic
705#380C2311yescharacteristic
706#380C2312yes—
707#380C2311yescharacteristic
708#380C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808#376C2314yes—
809#376C2312yes—
810C2×#95C2312yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C43C2314yes—
816C43C2312yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C22×Q8—28no—
820C22×Q8—28no—
821C22×Q8—28no—
822C22×Q8—28no—
823C22×Q8—44no—
824C22×Q8—44no—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×Q8C2414yes—
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2414yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C4⋊Q8—28no—
856C4⋊Q8—28no—
857C4⋊Q8—28no—
858C4⋊Q8—28no—
859C4⋊Q8—216no—
860C4⋊Q8—28no—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—24no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8#4118yes—
867#126C2×Q8116yescomplemented
868#125—28no—
869#125—28no—
870#125—44no—
871#125—48no—
872#125C2×Q818yescomplemented
873#123C2×Q8116yescomplemented
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—24no—
877C22⋊Q8—28no—
878C22⋊Q8—216no—
879C22⋊Q8—216no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—216no—
883C22⋊Q8—28no—
884C22⋊Q8—44no—
885C22⋊Q8—48no—
886C22⋊Q8—48no—
887C22⋊Q8—48no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8#4118yes—
891#121C2×Q818yes—
892#121C2×Q8116yescomplemented
893#121C2×Q818yescomplemented
894C4×Q8—28no—
895C4×Q8—24no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—28no—
899C4×Q8—24no—
900C4×Q8—28no—
901C4×Q8—24no—
902C4×Q8—44no—
903C4×Q8—48no—
904C4×Q8—48no—
905C4×Q8—48no—
906C4×Q8—48no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—216no—
915C4×D4—28no—
916C4×D4—24no—
917C4×D4—44no—
918C4×D4—42no—
919C4×D4—48no—
920C4×D4—44no—
921C4×D4—42no—
922C4×D4—44no—
923C4×D4—48no—
924C4×D4—44no—
925C4×D4C2×Q8116yescomplemented
926C4×D4C2×Q818yescomplemented
927C4×D4C2×Q818yescomplemented
928#117—28no—
929#117—42no—
930#117C2×Q818yescomplemented
931C2×C4⋊C4—24no—
932C2×C4⋊C4—28no—
933C2×C4⋊C4—28no—
934C2×C4⋊C4—24no—
935C2×C4⋊C4—24no—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—42no—
939C2×C4⋊C4—48no—
940C2×C4⋊C4—48no—
941C2×C4⋊C4C2×Q818yescomplemented
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C42—24no—
1054C2×C42—24no—
1055C2×C42—44no—
1056C2×C42—48no—
1057C2×C42—48no—
1058C2×C42—44no—
1059C2×C42—44no—
1060C2×C42—44no—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183C24C2511yescharacteristic
1184C24C2512yes—
1185C24C2511yescharacteristic
1186C2×Q8—24no—
1187C2×Q8—22no—
1188C2×Q8—28no—
1189C2×Q8—28no—
1190C2×Q8—28no—
1191C2×Q8—24no—
1192C2×Q8—28no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—24no—
1197C2×Q8—22no—
1198C2×Q8—24no—
1199C2×Q8—44no—
1200C2×Q8—44no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8—432no—
1209C2×Q8—432no—
1210C2×Q8C2×#4118yes—
1211C2×Q8C2×#4114yes—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4C22×Q818yes—
1221C2×D4C22×Q814yes—
1222C2×D4C22×Q814yes—
1223C2×D4C22×Q818yes—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—28no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—28no—
1238C22×C4—22no—
1239C22×C4—28no—
1240C22×C4—28no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—28no—
1249C22×C4—24no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—41no—
1272C22×C4—42no—
1273C22×C4C22×Q814yes—
1274C22×C4C22×Q814yes—
1275C22×C4C22×Q818yes—
1276C22×C4C22×Q818yes—
1277C22×C4C2×#4114yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2514yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2514yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—28no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—28no—
1333C4⋊C4—28no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—28no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—28no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—41no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4C22×Q814yes—
1378C4⋊C4C22×Q814yes—
1379C4⋊C4C22×Q818yes—
1380C4⋊C4C22×Q814yes—
1381C4⋊C4C22×Q818yes—
1382C4⋊C4C22×Q814yes—
1383C4⋊C4C22×Q818yes—
1384C4⋊C4C2×#4118yes—
1385C4⋊C4C2×#4114yes—
1386C4⋊C4C2×#4118yes—
1387C4⋊C4C2×#4118yes—
1388C4⋊C4H(5,𝔽2)14yes—
1389C22⋊C4—24no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—24no—
1397C22⋊C4—22no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—41no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4C22×Q818yes—
1415C22⋊C4C22×Q814yes—
1416C22⋊C4C22×Q818yes—
1417C22⋊C4C22×Q818yes—
1418C22⋊C4C22×Q814yes—
1419C22⋊C4C22×Q818yes—
1420C22⋊C4C2×#4118yes—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—28no—
1428C42—24no—
1429C42—28no—
1430C42—24no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—28no—
1435C42—22no—
1436C42—24no—
1437C42—28no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—22no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—44no—
1453C42—44no—
1454C42—42no—
1455C42—44no—
1456C42—41no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—42no—
1461C42—44no—
1462C42—41no—
1463C42—42no—
1464C42C22×Q818yes—
1465C42C22×Q814yes—
1466C42C2×#4114yes—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—22no—
1474C23—22no—
1475C23—21no—
1476C23—22no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—22no—
1482C23—21no—
1483C23C23×Q814yes—
1484C23C23×Q812yes—
1485C23C23×Q812yes—
1486C23C22×#4112yes—
1487C23#58512yes—
1488C23C2611yescharacteristic
1489Q8—216no—
1490Q8—28no—
1491Q8—416no—
1492Q8—416no—
1493Q8—48no—
1494Q8—84no—
1495Q8—84no—
1496Q8—164no—
1497D4—216no—
1498D4—28no—
1499D4—28no—
1500D4—48no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—28no—
1528C2×C4—28no—
1529C2×C4—28no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—48no—
1582C2×C4—48no—
1583C2×C4—416no—
1584C2×C4—44no—
1585C2×C4—48no—
1586C2×C4—416no—
1587C2×C4—44no—
1588C2×C4—48no—
1589C2×C4—84no—
1590C2×C4—82no—
1591C2×C4—88no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4—84no—
1595C2×C4—84no—
1596C2×C4C23×Q812yes—
1597C2×C4C23×Q814yes—
1598C2×C4C23×Q812yes—
1599C2×C4C23×Q814yes—
1600C2×C4C23×Q812yes—
1601C2×C4C23×Q812yes—
1602C2×C4C23×Q814yes—
1603C2×C4C23×Q812yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4114yes—
1606C2×C4C22×#4118yes—
1607C2×C4C22×#4114yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4112yes—
1612C2×C4C2×H(5,𝔽2)14yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4#58512yes—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—24no—
1622C22—22no—
1623C22—22no—
1624C22—24no—
1625C22—22no—
1626C22—24no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—42no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22—41no—
1635C22Q8×#4114yes—
1636C22C24×Q811yescharacteristic
1637C22C23×#4111yescharacteristic
1638C22C23×#4111yescharacteristic
1639C22C22×H(5,𝔽2)11yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22C2×#58511yescharacteristic
1642C222−1+611yescharacteristic
1643C4—22no—
1644C4—24no—
1645C4—24no—
1646C4—24no—
1647C4—22no—
1648C4—24no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—24no—
1653C4—22no—
1654C4—24no—
1655C4—28no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—41no—
1660C4—42no—
1661C4—41no—
1662C4—41no—
1663C4—44no—
1664C4—42no—
1665C4—41no—
1666C4—42no—
1667C4—44no—
1668C4—42no—
1669C4—42no—
1670C4—41no—
1671C4—42no—
1672C4—44no—
1673C4Q8×#4114yes—
1674C4#348114yes—
1675C2—24no—
1676C2—44no—
1677C2—42no—
1678C2C2×Q8×#4111yescharacteristic
1679C2C2×Q8×#4111yescharacteristic
1680C2C2×#348111yescharacteristic
1681C2Q8×H(5,𝔽2)11yescharacteristic
1682C2#6299511yescharacteristic
1683C2#6300511yescharacteristic
1684C2#6301811yescharacteristic
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. #59938C2semidirect
2. #59932C2semidirect
3. #59919C2semidirect
4. #59809C2semidirect
5. #59670C2semidirect
6. #59477C2semidirect
7. #59459C2semidirect
8. #59454C2semidirect
9. #59452C2semidirect
10. #59393C2semidirect
11. #59127C2semidirect
12. #59036C2semidirect
13. #36564C2semidirect
14. #36561C2semidirect
15. #36556C2semidirect
16. #36554C2semidirect
17. #36551C2semidirect
18. #36547C2semidirect
19. #36544C2semidirect
20. #36519C2semidirect
21. #36481C2semidirect
22. #36480C2semidirect
23. #36479C2semidirect
24. #36476C2semidirect
25. #36363C2semidirect
26. #36281C2semidirect
27. #36277C2semidirect
28. #36129C2semidirect
29. C4×#554C2semidirect
32. C4×D4×Q8C2semidirect
33. C4×D4×Q8C2semidirect
34. #34145C2semidirect
35. C2×#2365C2semidirect
303. #553Q8semidirect
867. #126C2×Q8semidirect
872. #125C2×Q8semidirect
873. #123C2×Q8semidirect
892. #121C2×Q8semidirect
893. #121C2×Q8semidirect
925. C4×D4C2×Q8semidirect
926. C4×D4C2×Q8semidirect
927. C4×D4C2×Q8semidirect
930. #117C2×Q8semidirect
941. C2×C4⋊C4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599382
#599322
#599192
#598092
#596702
#594772
#594592
#594542
#594522
#593932
#591272
#590362
#365642
#365612
#365562
#365542
#365512
#365472
#365442
#365192
#364812
#364802
#364792
#364762
#363632
#362812
#362772
#361292
C4×#5542
C4×#5532
C4×D4×Q82
#341452
C2×#23652