Finite Group Databasebeta

← #7657390

Subgroups — #7657390

Order 512.

4744 conjugacy classes of subgroups.

The subgroup lattice has 1681 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42627C212yesmaximal, complemented
2#42622C212yesmaximal, complemented
3#42572C212yesmaximal, complemented
4#42563C212yesmaximal, complemented
5#40882C214yesmaximal, complemented
6#40877C214yesmaximal, complemented
7#40775C214yesmaximal, complemented
8#40764C214yesmaximal, complemented
9#39481C211yesmaximal, characteristic, complemented
10#39353C211yesmaximal, characteristic, complemented
11#39200C211yesmaximal, characteristic, complemented
12#39194C211yesmaximal, characteristic, complemented
13#38128C212yesmaximal, complemented
14#38119C212yesmaximal, complemented
15#37859C212yesmaximal, complemented
16#37671C212yesmaximal, complemented
17#37628C211yesmaximal, characteristic, complemented
18#37627C211yesmaximal, characteristic, complemented
19#37510C212yesmaximal, complemented
20#37499C212yesmaximal, complemented
21#36416C211yesmaximal, characteristic, complemented
22#36406C211yesmaximal, characteristic, complemented
23#36161C211yesmaximal, characteristic, complemented
24#36100C211yesmaximal, characteristic
25#35911C212yesmaximal, complemented
26#35884C212yesmaximal, complemented
27#35838C212yesmaximal, complemented
28#35720C212yesmaximal, complemented
29#35310C212yesmaximal, complemented
30#35291C211yesmaximal, characteristic, complemented
31#34635C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34324C211yesmaximal, characteristic, complemented
34#34316C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#541C2212yes—
39C2×#525C2212yes—
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2862C2211yescharacteristic, complemented
43#2859C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2212yescomplemented
47#2851C2212yescomplemented
48#2848C2212yes—
49#2848C2212yes—
50#2837C2214yescomplemented
51#2836C2214yescomplemented
52#2834C2214yescomplemented
53#2827C2214yes—
54#2827C2214yescomplemented
55#2824C2214yes—
56#2801C2214yescomplemented
57#2800C2214yescomplemented
58#2797C2214yes—
59#2796C2214yescomplemented
60#2787C2214yescomplemented
61#2781C2214yes—
62#2779C2214yes—
63#2773C2214yescomplemented
64#2773C2214yescomplemented
65#2770C2214yescomplemented
66#2757C2214yescomplemented
67#2754C2214yescomplemented
68#2753C2214yes—
69#2745C2214yescomplemented
70#2741C2214yes—
71#2739C2214yescomplemented
72#2736C2214yes—
73#2735C2214yes—
74#2722C2214yes—
75#2719C2214yescomplemented
76#2707C2214yescomplemented
77#2694C2214yescomplemented
78#2685C2214yes—
79#2685C2214yes—
80#2655C2214yescomplemented
81#2654C2214yescomplemented
82#2654C2212yescomplemented
83#2654C2214yescomplemented
84#2653C2212yes—
85#2653C2214yescomplemented
86#2653C2214yescomplemented
87#2652C2214yescomplemented
88#2652C2214yescomplemented
89#2651C2214yescomplemented
90#2650C2212yescomplemented
91#2649C2212yes—
92#2649C2214yes—
93#2648C2214yes—
94#2647C2211yescharacteristic, complemented
95#2647C2212yescomplemented
96#2645C2211yescharacteristic, complemented
97#2645C2212yescomplemented
98#2644C2212yes—
99#2644C2211yescharacteristic, complemented
100#2640C2211yescharacteristic, complemented
101#2629C2212yescomplemented
102#2628C2211yescharacteristic
103#2625C2211yescharacteristic
104#2625C2212yes—
105#2625C2212yes—
106#2625C2212yescomplemented
107#2625C2212yescomplemented
108#2625C2212yescomplemented
109#2624C2212yes—
110#2624C2211yescharacteristic
111#2624C2212yescomplemented
112#2624C2212yescomplemented
113#2623C2214yescomplemented
114#2623C2214yescomplemented
115#2622C2214yes—
116#2622C2214yes—
117#2621C2212yescomplemented
118#2620C2211yescharacteristic
119#2620C2212yes—
120#2595C2214yescomplemented
121#2594C2214yescomplemented
122#2594C2214yescomplemented
123#2592C2212yes—
124#2590C2214yescomplemented
125#2589C2214yescomplemented
126#2589C2214yescomplemented
127#2587C2214yescomplemented
128#2585C2214yescomplemented
129#2582C2212yescomplemented
130#2580C2212yes—
131#2575C2214yes—
132#2574C2214yescomplemented
133#2571C2211yescharacteristic, complemented
134#2566C2212yes—
135#2553C2214yescomplemented
136#2553C2214yescomplemented
137#2552C2211yescharacteristic, complemented
138#2552C2212yescomplemented
139#2547C2211yescharacteristic
140#2546C2211yescharacteristic, complemented
141#2542C2211yescharacteristic
142#2542C2211yescharacteristic, complemented
143#2538C2211yescharacteristic
144#2537C2211yescharacteristic
145#2536C2212yes—
146#2531C2214yescomplemented
147#2530C2214yescomplemented
148#2530C2214yescomplemented
149#2527C2214yes—
150#2525C2214yescomplemented
151#2518C2214yescomplemented
152#2517C2214yescomplemented
153#2514C2212yescomplemented
154#2513C2212yes—
155#2513C2212yescomplemented
156#2511C2212yescomplemented
157#2509C2212yescomplemented
158#2509C2214yescomplemented
159#2508C2212yescomplemented
160#2507C2212yescomplemented
161#2507C2212yescomplemented
162#2506C2212yescomplemented
163#2500C2212yes—
164#2499C2212yescomplemented
165#2499C2212yescomplemented
166#2497C2212yescomplemented
167#2496C2212yes—
168#2496C2212yes—
169#2495C2212yes—
170#2494C2212yes—
171#2494C2212yescomplemented
172#2494C2212yescomplemented
173#2492C2212yescomplemented
174#2490C2212yes—
175#2490C2212yescomplemented
176#2489C2212yes—
177#2485C2212yes—
178#2480C2214yes—
179#2480C2214yes—
180#2480C2214yes—
181#2478C2214yes—
182#2478C2214yes—
183#2475C2214yescomplemented
184#2475C2214yescomplemented
185#2473C2214yescomplemented
186#2473C2214yescomplemented
187#2468C2214yes—
188#2466C2214yes—
189#2466C2214yes—
190#2460C2214yescomplemented
191#2455C2214yes—
192#2454C2214yescomplemented
193#2453C2212yescomplemented
194#2453C2212yescomplemented
195#2448C2212yes—
196#2447C2212yes—
197#2446C2212yescomplemented
198#2441C2212yescomplemented
199#2441C2212yescomplemented
200#2439C2212yescomplemented
201#2435C2212yes—
202#2432C2212yescomplemented
203#2429C2212yescomplemented
204#2427C2212yes—
205#2427C2212yes—
206#2426C2212yes—
207#2426C2212yescomplemented
208#2423C2212yescomplemented
209#2423C2212yescomplemented
210#2423C2212yescomplemented
211#2422C2212yes—
212#2421C2212yes—
213#2421C2212yescomplemented
214#2418C2214yes—
215#2415C2212yes—
216#2415C2212yes—
217#2415C2212yes—
218#2408C2212yes—
219#2407C2212yes—
220#2401C2212yescomplemented
221#2398C2212yes—
222#2396C2212yescomplemented
223#2395C2212yes—
224#2395C2214yes—
225#2395C2214yes—
226#2395C2214yescomplemented
227#2395C2214yescomplemented
228#2374C2214yescomplemented
229#2373C2214yescomplemented
230#2370C2212yescomplemented
231#2367C2212yes—
232#2367C2212yes—
233#2365C2211yescharacteristic, complemented
234#2365C2211yescharacteristic, complemented
235#2363C2212yes—
236#2362C2212yescomplemented
237#2362C2212yescomplemented
238#2361C2212yes—
239#2360C2212yes—
240#2360C2212yescomplemented
241#2360C2212yescomplemented
242#2355C2212yescomplemented
243#2355C2212yescomplemented
244#2354C2211yescharacteristic
245#2354C2211yescharacteristic
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic
248#2354C2211yescharacteristic, complemented
249#2352C2212yes—
250#2352C2212yes—
251Q8×C4⋊C4C2211yescharacteristic, complemented
252D4×C4⋊C4C2212yes—
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic
255#2346C2212yescomplemented
256#2345C2212yescomplemented
257#2344C2211yescharacteristic
258#2344C2211yescharacteristic
259#2342C2212yes—
260#2342C2212yes—
261#2341C2212yescomplemented
262D4×C22⋊C4C2211yescharacteristic
263D4×C22⋊C4C2211yescharacteristic
264#2335C2214yescomplemented
265#2334C2214yescomplemented
266#2326C2212yes—
267#2324C2212yes—
268#2323C2212yes—
269#2323C2212yescomplemented
270#2323C2212yescomplemented
271#2320C2212yescomplemented
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×#124C2211yescharacteristic, complemented
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×#121C2211yescharacteristic
281#2297C2212yescomplemented
282#2297C2212yescomplemented
283#2296C2212yescomplemented
284#2296C2212yescomplemented
285#2295C2211yescharacteristic, complemented
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic, complemented
289#2290C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2280C2212yes—
293#2280C2212yes—
294#2276C2212yescomplemented
295#2274C2212yescomplemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—28no—
303#547—28no—
304#541—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319#525—48no—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×#121C2312yes—
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#120C2314yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×D4—28no—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2311yescharacteristic
360C2×#117—48no—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C42C2311yescharacteristic
383C22×C42C2312yes—
384C22×C42C2312yes—
385#401C2314yes—
386#401C2314yes—
387#401C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#399C2314yes—
409#399C2314yes—
410#399C2312yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2312yes—
415#399C2314yes—
416#399C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
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#398C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2312yes—
478#396C2312yes—
479#395C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#393C2312yes—
500#393C2314yes—
501#393C2314yes—
502#393C2312yes—
503#393C2312yes—
504#392C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2314yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2311yescharacteristic
532#390C2311yescharacteristic
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2311yescharacteristic
541#390C2314yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
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#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#383C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2311yescharacteristic
718#381C2312yes—
719#381C2312yes—
720#381C2314yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2312yes—
729#380C2312yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#379C2314yes—
746#379C2314yes—
747#379C2312yes—
748#379C2312yes—
749#379C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2311yescharacteristic
811#376C2312yes—
812#376C2314yes—
813#376C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—44no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×D4—24no—
825C22×D4—42no—
826C22×D4—42no—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C23×C4—28no—
835C23×C4—28no—
836C23×C4—44no—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853C4⋊Q8—42no—
854C4⋊Q8—44no—
855#126—216no—
856#126—48no—
857#126—48no—
858#125—44no—
859#125—44no—
860#125—48no—
861#125—48no—
862#124—28no—
863#124—44no—
864#124—42no—
865#123—216no—
866#123—48no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—24no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877#121—28no—
878#121—24no—
879#121—44no—
880#121—44no—
881#120—48no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×D4—24no—
891C4×D4—28no—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—42no—
897C4×D4—42no—
898C4×D4—42no—
899C4×D4—42no—
900C4×D4—44no—
901C4×D4—48no—
902C4×D4—48no—
903C4×D4#4118yes—
904#117—28no—
905#117—24no—
906#117—28no—
907#117—44no—
908#117—44no—
909#117—44no—
910#117—42no—
911#117—44no—
912#117—44no—
913#117—44no—
914#117—44no—
915#117—44no—
916#117—44no—
917#117—44no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4—44no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4—28no—
994C2×C22⋊C4—44no—
995C2×C22⋊C4—44no—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C42—24no—
1055C2×C42—44no—
1056C2×C42—44no—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091#95C2412yes—
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24—24no—
1166C24—24no—
1167C24—42no—
1168C24—42no—
1169C24—42no—
1170C24—42no—
1171C24—42no—
1172C24C2512yes—
1173C24C2512yes—
1174C24C2512yes—
1175C24C2511yescharacteristic
1176#41—816no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—28no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—416no—
1210C2×D4C2×#4114yes—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—28no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—432no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4C2×#4118yes—
1253C22×C4H(5,𝔽2)14yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2514yes—
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—28no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—28no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
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—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4C2×#4114yes—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—41no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—41no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4C2×#4118yes—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—28no—
1418C42—24no—
1419C42—22no—
1420C42—22no—
1421C42—24no—
1422C42—24no—
1423C42—22no—
1424C42—22no—
1425C42—24no—
1426C42—22no—
1427C42—22no—
1428C42—24no—
1429C42—22no—
1430C42—22no—
1431C42—42no—
1432C42—42no—
1433C42—42no—
1434C42—42no—
1435C42—41no—
1436C42—41no—
1437C42—41no—
1438C42—41no—
1439C42—44no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42C2×#4114yes—
1448C23—21no—
1449C23—22no—
1450C23—21no—
1451C23—21no—
1452C23—22no—
1453C23—21no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—21no—
1459C23—21no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—48no—
1475C23—48no—
1476C23—84no—
1477C23—84no—
1478C23—84no—
1479C23—84no—
1480C23—84no—
1481C23C22×#4114yes—
1482C23C2×H(5,𝔽2)12yes—
1483C23C2611yescharacteristic
1484Q8—48no—
1485Q8—44no—
1486Q8—48no—
1487Q8—84no—
1488D4—28no—
1489D4—48no—
1490D4—48no—
1491D4—44no—
1492D4—44no—
1493D4—88no—
1494D4—88no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—28no—
1502C2×C4—216no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—48no—
1582C2×C4—48no—
1583C2×C4—48no—
1584C2×C4—48no—
1585C2×C4—44no—
1586C2×C4—48no—
1587C2×C4—82no—
1588C2×C4—88no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4C22×#4114yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4112yes—
1597C2×C4C2×H(5,𝔽2)12yes—
1598C2×C4C2×H(5,𝔽2)12yes—
1599C2×C4#58512yes—
1600C2×C4#58512yes—
1601C2×C4#58512yes—
1602C22—22no—
1603C22—24no—
1604C22—24no—
1605C22—22no—
1606C22—24no—
1607C22—22no—
1608C22—41no—
1609C22—42no—
1610C22—42no—
1611C22—41no—
1612C22—41no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—816no—
1631C22C23×#4111yescharacteristic
1632C22C22×H(5,𝔽2)11yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22C2×#58511yescharacteristic
1635C22C2×#58511yescharacteristic
1636C222−1+611yescharacteristic
1637C222−1+611yescharacteristic
1638C4—22no—
1639C4—24no—
1640C4—22no—
1641C4—42no—
1642C4—44no—
1643C4—42no—
1644C4—42no—
1645C4—41no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—41no—
1650C4—41no—
1651C4—42no—
1652C4—41no—
1653C4—42no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—41no—
1658C4—44no—
1659C4—42no—
1660C4—42no—
1661C4—41no—
1662C4—41no—
1663C4—44no—
1664C4—41no—
1665C4—41no—
1666C4—44no—
1667C4#345514yes—
1668C4#351314yes—
1669C2—44no—
1670C2—42no—
1671C2—82no—
1672C2—82no—
1673C2C2×#345511yescharacteristic
1674C2C2×#351311yescharacteristic
1675C2#6286111yescharacteristic
1676C2#6292511yescharacteristic
1677C2#6293611yescharacteristic
1678C2#6296011yescharacteristic
1679C2#6296711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36100C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42627C2semidirect
2. #42622C2semidirect
3. #42572C2semidirect
4. #42563C2semidirect
5. #40882C2semidirect
6. #40877C2semidirect
7. #40775C2semidirect
8. #40764C2semidirect
9. #39481C2semidirect
10. #39353C2semidirect
11. #39200C2semidirect
12. #39194C2semidirect
13. #38128C2semidirect
14. #38119C2semidirect
15. #37859C2semidirect
16. #37671C2semidirect
17. #37628C2semidirect
18. #37627C2semidirect
19. #37510C2semidirect
20. #37499C2semidirect
21. #36416C2semidirect
22. #36406C2semidirect
23. #36161C2semidirect
25. #35911C2semidirect
26. #35884C2semidirect
27. #35838C2semidirect
28. #35720C2semidirect
29. #35310C2semidirect
30. #35291C2semidirect
31. #34635C2semidirect
32. #34619C2semidirect
33. #34324C2semidirect
34. #34316C2semidirect
35. D4×#117C2semidirect
42. #2862C22semidirect
43. #2859C22semidirect
46. #2857C22semidirect
47. #2851C22semidirect
50. #2837C22semidirect
51. #2836C22semidirect
52. #2834C22semidirect
54. #2827C22semidirect
56. #2801C22semidirect
57. #2800C22semidirect
59. #2796C22semidirect
60. #2787C22semidirect
63. #2773C22semidirect
64. #2773C22semidirect
65. #2770C22semidirect
66. #2757C22semidirect
67. #2754C22semidirect
69. #2745C22semidirect
71. #2739C22semidirect
75. #2719C22semidirect
76. #2707C22semidirect
77. #2694C22semidirect
80. #2655C22semidirect
81. #2654C22semidirect
82. #2654C22semidirect
83. #2654C22semidirect
85. #2653C22semidirect
86. #2653C22semidirect
87. #2652C22semidirect
88. #2652C22semidirect
89. #2651C22semidirect
90. #2650C22semidirect
94. #2647C22semidirect
95. #2647C22semidirect
96. #2645C22semidirect
97. #2645C22semidirect
99. #2644C22semidirect
100. #2640C22semidirect
101. #2629C22semidirect
106. #2625C22semidirect
107. #2625C22semidirect
108. #2625C22semidirect
111. #2624C22semidirect
112. #2624C22semidirect
113. #2623C22semidirect
114. #2623C22semidirect
117. #2621C22semidirect
120. #2595C22semidirect
121. #2594C22semidirect
122. #2594C22semidirect
124. #2590C22semidirect
125. #2589C22semidirect
126. #2589C22semidirect
127. #2587C22semidirect
128. #2585C22semidirect
129. #2582C22semidirect
132. #2574C22semidirect
133. #2571C22semidirect
135. #2553C22semidirect
136. #2553C22semidirect
137. #2552C22semidirect
138. #2552C22semidirect
140. #2546C22semidirect
142. #2542C22semidirect
146. #2531C22semidirect
147. #2530C22semidirect
148. #2530C22semidirect
150. #2525C22semidirect
151. #2518C22semidirect
152. #2517C22semidirect
153. #2514C22semidirect
155. #2513C22semidirect
156. #2511C22semidirect
157. #2509C22semidirect
158. #2509C22semidirect
159. #2508C22semidirect
160. #2507C22semidirect
161. #2507C22semidirect
162. #2506C22semidirect
164. #2499C22semidirect
165. #2499C22semidirect
166. #2497C22semidirect
171. #2494C22semidirect
172. #2494C22semidirect
173. #2492C22semidirect
175. #2490C22semidirect
183. #2475C22semidirect
184. #2475C22semidirect
185. #2473C22semidirect
186. #2473C22semidirect
190. #2460C22semidirect
192. #2454C22semidirect
193. #2453C22semidirect
194. #2453C22semidirect
197. #2446C22semidirect
198. #2441C22semidirect
199. #2441C22semidirect
200. #2439C22semidirect
202. #2432C22semidirect
203. #2429C22semidirect
207. #2426C22semidirect
208. #2423C22semidirect
209. #2423C22semidirect
210. #2423C22semidirect
213. #2421C22semidirect
220. #2401C22semidirect
222. #2396C22semidirect
226. #2395C22semidirect
227. #2395C22semidirect
228. #2374C22semidirect
229. #2373C22semidirect
230. #2370C22semidirect
233. #2365C22semidirect
234. #2365C22semidirect
236. #2362C22semidirect
237. #2362C22semidirect
240. #2360C22semidirect
241. #2360C22semidirect
242. #2355C22semidirect
243. #2355C22semidirect
248. #2354C22semidirect
251. Q8×C4⋊C4C22semidirect
255. #2346C22semidirect
256. #2345C22semidirect
261. #2341C22semidirect
264. #2335C22semidirect
265. #2334C22semidirect
269. #2323C22semidirect
270. #2323C22semidirect
271. #2320C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×#124C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
281. #2297C22semidirect
282. #2297C22semidirect
283. #2296C22semidirect
284. #2296C22semidirect
285. #2295C22semidirect
288. #2293C22semidirect
294. #2276C22semidirect
295. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#426272
#426222
#425722
#425632
#408822
#408772
#407752
#407642
#394812
#393532
#392002
#391942
#381282
#381192
#378592
#376712
#376282
#376272
#375102
#374992
#364162
#364062
#361612
#361002
#359112
#358842
#358382
#357202
#353102
#352912
#346352
#346192
#343242
#343162
D4×#1172