Finite Group Databasebeta

← #7710208

Subgroups — #7710208

Order 512.

4588 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59925C212yesmaximal, complemented
2#59909C212yesmaximal, complemented
3#59681C211yesmaximal, characteristic, complemented
4#59655C211yesmaximal, characteristic, complemented
5#59445C211yesmaximal, characteristic, complemented
6#59413C211yesmaximal, characteristic, complemented
7#46151C214yesmaximal, complemented
8#46002C212yesmaximal, complemented
9#46001C212yesmaximal, complemented
10#39974C212yesmaximal, complemented
11#39972C212yesmaximal, complemented
12#39713C214yesmaximal, complemented
13#39659C212yesmaximal, complemented
14#39656C212yesmaximal, complemented
15#39603C212yesmaximal, complemented
16#39602C212yesmaximal
17#39599C211yesmaximal, characteristic, complemented
18#39598C211yesmaximal, characteristic
19#39597C211yesmaximal, characteristic, complemented
20#39596C211yesmaximal, characteristic
21#38457C214yesmaximal, complemented
22#37565C212yesmaximal, complemented
23#36754C214yesmaximal, complemented
24#36645C211yesmaximal, characteristic, complemented
25#36635C211yesmaximal, characteristic, complemented
26#36477C211yesmaximal, characteristic, complemented
27#36474C211yesmaximal, characteristic, complemented
28#36288C212yesmaximal, complemented
29#36285C211yesmaximal, characteristic, complemented
30#36279C212yesmaximal, complemented
31#36276C211yesmaximal, characteristic, complemented
32#35176C212yesmaximal, complemented
33#35016C212yesmaximal, complemented
34#34397C212yesmaximal
35C4×#529C211yesmaximal, characteristic
36C2×Q82C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#529C2211yescharacteristic
43#2868C2211yescharacteristic
44#2868C2211yescharacteristic
45#2864C2212yes—
46#2863C2212yes—
47#2863C2212yes—
48#2863C2212yes—
49#2862C2211yescharacteristic
50#2862C2211yescharacteristic
51#2862C2211yescharacteristic
52#2862C2212yes—
53#2859C2211yescharacteristic
54#2859C2212yes—
55#2859C2212yes—
56#2857C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2212yes—
59#2857C2211yescharacteristic
60#2857C2212yes—
61#2857C2211yescharacteristic
62#2857C2211yescharacteristic
63#2857C2211yescharacteristic
64#2857C2212yes—
65#2855C2212yes—
66#2855C2212yes—
67#2855C2212yes—
68#2851C2212yes—
69#2843C2214yes—
70#2843C2214yes—
71#2805C2214yes—
72#2802C2214yes—
73#2792C2214yes—
74#2792C2214yes—
75#2792C2214yes—
76#2791C2214yes—
77#2791C2214yes—
78#2790C2214yes—
79#2790C2214yes—
80#2790C2214yes—
81#2788C2214yes—
82#2788C2214yes—
83#2784C2214yes—
84#2780C2214yes—
85#2774C2214yes—
86#2768C2214yes—
87#2768C2214yes—
88#2734C2214yes—
89#2729C2214yes—
90#2729C2214yes—
91#2726C2214yes—
92#2720C2214yes—
93#2720C2214yes—
94#2713C2214yes—
95#2713C2214yes—
96#2704C2214yes—
97#2704C2214yes—
98#2704C2214yes—
99#2692C2214yes—
100#2683C2214yes—
101#2677C2214yes—
102#2677C2214yes—
103#2667C2214yes—
104#2667C2214yes—
105#2667C2214yes—
106#2666C2214yes—
107#2665C2214yes—
108#2665C2214yes—
109#2629C2212yes—
110#2629C2212yes—
111#2628C2212yes—
112#2628C2212yes—
113#2612C2214yes—
114#2612C2214yes—
115#2612C2214yes—
116#2608C2214yes—
117#2606C2214yes—
118#2605C2214yes—
119#2590C2214yes—
120#2590C2214yes—
121#2587C2214yes—
122#2587C2214yes—
123#2586C2214yes—
124#2586C2214yes—
125#2586C2214yes—
126#2584C2212yes—
127#2584C2212yes—
128#2582C2212yes—
129#2582C2211yescharacteristic
130#2582C2211yescharacteristic
131#2581C2212yes—
132#2580C2212yes—
133#2574C2214yes—
134#2574C2214yes—
135#2574C2214yes—
136#2570C2212yes—
137#2570C2212yes—
138#2570C2212yes—
139#2570C2212yes—
140#2567C2212yes—
141#2567C2211yescharacteristic
142#2567C2211yescharacteristic
143#2567C2212yes—
144#2566C2212yes—
145#2565C2212yes—
146#2556C2214yes—
147#2552C2212yes—
148#2551C2212yes—
149#2550C2212yes—
150#2550C2212yes—
151#2550C2212yes—
152#2550C2212yes—
153#2550C2214yes—
154#2550C2212yes—
155#2550C2212yes—
156#2550C2214yes—
157#2549C2214yes—
158#2549C2214yes—
159#2546C2212yes—
160#2546C2212yes—
161#2546C2211yescharacteristic
162#2546C2211yescharacteristic
163#2546C2212yes—
164#2546C2212yes—
165#2542C2212yes—
166#2538C2212yes—
167#2538C2211yescharacteristic
168#2538C2211yescharacteristic
169#2538C2212yes—
170#2522C2214yes—
171#2522C2214yes—
172#2522C2214yes—
173#2520C2214yes—
174#2511C2212yes—
175#2511C2212yes—
176#2509C2212yes—
177#2508C2212yes—
178#2508C2214yes—
179#2507C2214yes—
180#2507C2214yes—
181#2507C2212yes—
182#2507C2212yes—
183#2506C2212yes—
184#2505C2214yes—
185#2505C2214yes—
186#2502C2212yes—
187#2497C2212yes—
188#2492C2212yes—
189#2492C2212yes—
190#2492C2212yes—
191#2462C2214yes—
192#2454C2212yes—
193#2454C2214yes—
194#2453C2212yes—
195#2452C2212yes—
196#2451C2212yes—
197#2451C2212yes—
198#2450C2214yes—
199#2446C2212yes—
200#2446C2212yes—
201#2446C2212yes—
202#2446C2212yes—
203#2440C2212yes—
204#2440C2212yes—
205#2439C2214yes—
206#2438C2214yes—
207#2434C2212yes—
208#2434C2212yes—
209#2434C2212yes—
210#2429C2214yes—
211#2429C2212yes—
212#2429C2212yes—
213#2429C2212yes—
214#2429C2212yes—
215#2429C2212yes—
216#2429C2212yes—
217#2423C2212yes—
218#2423C2212yes—
219#2417C2212yes—
220#2409C2212yes—
221#2383C2214yes—
222#2383C2214yes—
223#2370C2212yes—
224#2370C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2369C2214yes—
228#2368C2214yes—
229#2367C2212yes—
230#2367C2212yes—
231#2365C2212yes—
232#2360C2212yes—
233#2357C2212yes—
234#2356C2212yes—
235#2355C2211yescharacteristic
236#2355C2211yescharacteristic
237#2355C2212yes—
238#2351C2212yes—
239#2351C2212yes—
240Q8×C4⋊C4C2211yescharacteristic
241Q8×C4⋊C4C2211yescharacteristic
242#2349C2212yes—
243#2349C2212yes—
244#2346C2214yes—
245#2343C2214yes—
246Q8×C22⋊C4C2212yes—
247#2335C2214yes—
248#2335C2214yes—
249#2330C2214yes—
250#2329C2214yes—
251#2324C2212yes—
252#2324C2212yes—
253#2323C2212yes—
254#2323C2212yes—
255#2319C2214yes—
256#2318C2214yes—
257C4×C4⋊Q8C2212yes—
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2212yes—
266C4×#125C2212yes—
267C4×#125C2211yescharacteristic
268C4×#125C2211yescharacteristic
269C4×#126C2212yes—
270C4×#126C2212yes—
271C4×#124C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×#123C2212yes—
279C4×#123C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282#2298C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2295C2211yescharacteristic
286#2295C2212yes—
287C2×#391C2212yes—
288#2293C2211yescharacteristic
289#2290C2212yes—
290#2285C2212yes—
291#2285C2212yes—
292#2283C2212yes—
293#2283C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299C23×Q8C2312yes—
300Q82—44no—
301#557—44no—
302#554—44no—
303D4×Q8—44no—
304#533—44no—
305#533—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2312yes—
323C2×C4⋊Q8C2314yes—
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2314yes—
326#529Q8116yescomplemented
327C2×#126C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2314yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#125C2314yes—
335C2×#125C2311yescharacteristic
336C2×#124C2311yescharacteristic
337C2×#123C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2312yes—
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
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#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2312yes—
496#391C2314yes—
497#391C2314yes—
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2314yes—
501#391C2312yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2314yes—
519#390C2314yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2314yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#383C2312yes—
704#383C2314yes—
705#383C2314yes—
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2312yes—
714#382C2314yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2312yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2314yes—
803#376C2314yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C22×Q8—44no—
818C22×Q8—44no—
819C22×Q8—44no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2414yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C4⋊Q8—24no—
846C4⋊Q8—24no—
847C4⋊Q8—44no—
848C4⋊Q8—42no—
849C4⋊Q8—42no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—42no—
855C4⋊Q8—42no—
856C4⋊Q8—42no—
857C4⋊Q8—42no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—42no—
861C4⋊Q8—42no—
862C4⋊Q8—44no—
863C4⋊Q8—48no—
864C4⋊Q8—48no—
865#126C2×Q8116yescomplemented
866#125—28no—
867#125—44no—
868#125—44no—
869#125—44no—
870#125—44no—
871#125—48no—
872#125—48no—
873#125C2×Q818yescomplemented
874#124C2×Q818yes—
875#123C2×Q8116yescomplemented
876C22⋊Q8—48no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—48no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—42no—
887C22⋊Q8—42no—
888C22⋊Q8—42no—
889C22⋊Q8—42no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8C2×Q818yescomplemented
893#121C2×Q818yes—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—24no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8C2×Q818yescomplemented
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4C2×Q818yes—
918C4×D4C2×Q8116yescomplemented
919#117—44no—
920#117—44no—
921#117—44no—
922#117C2×Q8116yescomplemented
923C2×C4⋊C4—44no—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊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⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C42—24no—
1040C2×C42—24no—
1041C2×C42—44no—
1042C2×C42—42no—
1043C2×C42—42no—
1044C2×C42—42no—
1045C2×C42—42no—
1046C2×C42C2×Q818yescomplemented
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24C2512yes—
1171C24C2511yescharacteristic
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—44no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—44no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—816no—
1205C2×Q8C22×Q814yes—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4C22×Q814yes—
1211C2×D4C22×Q818yes—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—42no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—44no—
1238C22×C4—42no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4C22×Q814yes—
1245C22×C4C22×Q814yes—
1246C22×C4C22×Q814yes—
1247C22×C4C22×Q818yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2514yes—
1254C22×C4C2512yes—
1255C22×C4C2514yes—
1256C22×C4C2514yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4C22×Q818yes—
1366C4⋊C4C22×Q818yes—
1367C4⋊C4C22×Q814yes—
1368C4⋊C4C22×Q818yes—
1369C4⋊C4C22×Q814yes—
1370C4⋊C4C22×Q818yes—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4C22×Q818yes—
1392C22⋊C4C22×Q818yes—
1393C22⋊C4C22×Q818yes—
1394C22⋊C4C22×Q818yes—
1395C22⋊C4C22×Q818yes—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—24no—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—24no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—24no—
1418C42—41no—
1419C42—41no—
1420C42—42no—
1421C42—41no—
1422C42—41no—
1423C42—41no—
1424C42—42no—
1425C42—41no—
1426C42—41no—
1427C42—41no—
1428C42—42no—
1429C42—42no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42C22×Q814yes—
1439C42C22×Q814yes—
1440C42C22×Q814yes—
1441C42C22×Q814yes—
1442C42C22×Q818yes—
1443C42H(5,𝔽2)14yes—
1444C422−1+414yes—
1445C23—22no—
1446C23—21no—
1447C23—22no—
1448C23—21no—
1449C23—22no—
1450C23—22no—
1451C23—21no—
1452C23—21no—
1453C23—22no—
1454C23—22no—
1455C23—21no—
1456C23—21no—
1457C23C23×Q814yes—
1458C23C23×Q812yes—
1459C23C2611yescharacteristic
1460Q8—28no—
1461Q8—44no—
1462Q8—44no—
1463Q8—44no—
1464Q8—48no—
1465Q8—44no—
1466Q8—84no—
1467Q8—84no—
1468Q8—84no—
1469Q8—88no—
1470Q8—164no—
1471D4—28no—
1472D4—48no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—28no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—44no—
1555C2×C4—48no—
1556C2×C4—44no—
1557C2×C4—44no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—48no—
1562C2×C4—84no—
1563C2×C4—88no—
1564C2×C4—164no—
1565C2×C4C23×Q812yes—
1566C2×C4C23×Q812yes—
1567C2×C4C23×Q812yes—
1568C2×C4C23×Q812yes—
1569C2×C4C23×Q812yes—
1570C2×C4C23×Q814yes—
1571C2×C4C23×Q814yes—
1572C2×C4C23×Q814yes—
1573C2×C4C23×Q812yes—
1574C2×C4C2×H(5,𝔽2)12yes—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4C2×H(5,𝔽2)12yes—
1577C2×C4C2×2−1+412yes—
1578C2×C4C2×2−1+412yes—
1579C2×C4C2×2−1+412yes—
1580C2×C4#58512yes—
1581C2×C4#58512yes—
1582C2×C4#58512yes—
1583C2×C4#58512yes—
1584C22—22no—
1585C22—24no—
1586C22—22no—
1587C22—24no—
1588C22—22no—
1589C22—24no—
1590C22—42no—
1591C22—41no—
1592C22—41no—
1593C22—42no—
1594C22—41no—
1595C22—42no—
1596C22—41no—
1597C22—42no—
1598C22C24×Q811yescharacteristic
1599C22C22×H(5,𝔽2)11yescharacteristic
1600C22C22×2−1+411yescharacteristic
1601C22C2×#58511yescharacteristic
1602C22C2×#58511yescharacteristic
1603C22C2×#58511yescharacteristic
1604C22C2×#58511yescharacteristic
1605C4—22no—
1606C4—22no—
1607C4—24no—
1608C4—22no—
1609C4—22no—
1610C4—24no—
1611C4—22no—
1612C4—22no—
1613C4—24no—
1614C4—22no—
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—41no—
1619C4—42no—
1620C4—42no—
1621C4—44no—
1622C4—42no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—44no—
1627C4—41no—
1628C4—42no—
1629C4—44no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—44no—
1635C4—42no—
1636C4#350314yes—
1637C4#355114yes—
1638C2—42no—
1639C2—44no—
1640C2C2×#355111yescharacteristic
1641C2#6276111yescharacteristic
1642C2C2×#350311yescharacteristic
1643C2#6281311yescharacteristic
1644C2#6281311yescharacteristic
1645C2#6283011yescharacteristic
1646C2#6283111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59925C2semidirect
2. #59909C2semidirect
3. #59681C2semidirect
4. #59655C2semidirect
5. #59445C2semidirect
6. #59413C2semidirect
7. #46151C2semidirect
8. #46002C2semidirect
9. #46001C2semidirect
10. #39974C2semidirect
11. #39972C2semidirect
12. #39713C2semidirect
13. #39659C2semidirect
14. #39656C2semidirect
15. #39603C2semidirect
17. #39599C2semidirect
19. #39597C2semidirect
21. #38457C2semidirect
22. #37565C2semidirect
23. #36754C2semidirect
24. #36645C2semidirect
25. #36635C2semidirect
26. #36477C2semidirect
27. #36474C2semidirect
28. #36288C2semidirect
29. #36285C2semidirect
30. #36279C2semidirect
31. #36276C2semidirect
32. #35176C2semidirect
33. #35016C2semidirect
326. #529Q8semidirect
865. #126C2×Q8semidirect
873. #125C2×Q8semidirect
875. #123C2×Q8semidirect
892. C22⋊Q8C2×Q8semidirect
910. C4×Q8C2×Q8semidirect
918. C4×D4C2×Q8semidirect
922. #117C2×Q8semidirect
1046. C2×C42C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599252
#599092
#596812
#596552
#594452
#594132
#461512
#460022
#460012
#399742
#399722
#397132
#396592
#396562
#396032
#396022
#395992
#395982
#395972
#395962
#384572
#375652
#367542
#366452
#366352
#364772
#364742
#362882
#362852
#362792
#362762
#351762
#350162
#343972
C4×#5292