Finite Group Databasebeta

← #7986737

Subgroups — #7986737

Order 512.

4792 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59668C211yesmaximal, characteristic, complemented
2#59563C212yesmaximal, complemented
3#59119C212yesmaximal, complemented
4#59079C211yesmaximal, characteristic, complemented
5#59057C211yesmaximal, characteristic, complemented
6#51922C214yesmaximal, complemented
7#51876C214yesmaximal, complemented
8#46101C214yesmaximal, complemented
9#45358C212yesmaximal, complemented
10#45205C212yesmaximal, complemented
11#45075C212yesmaximal, complemented
12#45069C212yesmaximal, complemented
13#42635C212yesmaximal, complemented
14#42632C212yesmaximal, complemented
15#42565C212yesmaximal, complemented
16#42564C212yesmaximal, complemented
17#39771C211yesmaximal, characteristic, complemented
18#39737C211yesmaximal, characteristic, complemented
19#39609C211yesmaximal, characteristic, complemented
20#39202C211yesmaximal, characteristic, complemented
21#38285C212yesmaximal, complemented
22#38201C214yesmaximal, complemented
23#38050C212yesmaximal, complemented
24#36300C212yesmaximal, complemented
25#36297C212yesmaximal, complemented
26#36273C211yesmaximal, characteristic, complemented
27#36150C211yesmaximal, characteristic, complemented
28#36117C211yesmaximal, characteristic, complemented
29#35216C212yesmaximal, complemented
30#35212C212yesmaximal, complemented
31#34793C211yesmaximal, characteristic, complemented
32#34763C211yesmaximal, characteristic, complemented
33#34484C211yesmaximal, characteristic, complemented
34#34368C211yesmaximal, characteristic, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#554C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#529C2212yes—
41C2×#529C2212yes—
42#2866C2214yes—
43#2860C2214yes—
44#2860C2214yes—
45#2858C2211yescharacteristic
46#2858C2212yes—
47#2857C2211yescharacteristic
48#2856C2211yescharacteristic
49#2854C2212yes—
50#2838C2214yes—
51#2837C2214yes—
52#2807C2214yes—
53#2806C2214yes—
54#2803C2214yes—
55#2797C2214yes—
56#2796C2214yes—
57#2796C2214yes—
58#2784C2214yes—
59#2774C2214yes—
60#2773C2214yes—
61#2772C2214yes—
62#2754C2214yes—
63#2752C2214yes—
64#2752C2214yes—
65#2751C2214yes—
66#2751C2214yes—
67#2748C2214yes—
68#2747C2214yes—
69#2746C2214yes—
70#2742C2214yes—
71#2742C2214yes—
72#2741C2214yes—
73#2741C2214yes—
74#2739C2214yes—
75#2731C2214yes—
76#2730C2214yes—
77#2728C2214yes—
78#2717C2214yes—
79#2710C2214yes—
80#2708C2214yes—
81#2701C2214yes—
82#2686C2214yes—
83#2674C2214yes—
84#2671C2214yes—
85#2663C2214yes—
86#2661C2214yes—
87#2654C2214yes—
88#2651C2214yes—
89#2640C2212yes—
90#2628C2214yes—
91#2628C2212yes—
92#2624C2212yes—
93#2624C2214yes—
94#2620C2212yes—
95#2611C2214yes—
96#2610C2214yes—
97#2610C2214yes—
98#2602C2214yes—
99#2602C2214yes—
100#2595C2214yes—
101#2592C2212yes—
102#2587C2214yes—
103#2584C2212yes—
104#2580C2212yes—
105#2575C2214yes—
106#2568C2211yescharacteristic
107#2567C2212yes—
108#2562C2212yes—
109#2555C2214yes—
110#2552C2211yescharacteristic
111#2551C2212yes—
112#2551C2211yescharacteristic
113#2550C2212yes—
114#2548C2211yescharacteristic
115#2548C2212yes—
116#2547C2211yescharacteristic
117#2546C2212yes—
118#2544C2212yes—
119#2541C2211yescharacteristic
120#2540C2212yes—
121#2540C2212yes—
122#2530C2212yes—
123#2530C2214yes—
124#2528C2212yes—
125#2526C2214yes—
126#2521C2214yes—
127#2521C2212yes—
128#2521C2214yes—
129#2519C2212yes—
130#2517C2212yes—
131#2516C2214yes—
132#2513C2214yes—
133#2513C2212yes—
134#2513C2214yes—
135#2512C2212yes—
136#2512C2211yescharacteristic
137#2511C2212yes—
138#2511C2212yes—
139#2511C2211yescharacteristic
140#2509C2212yes—
141#2507C2212yes—
142#2507C2212yes—
143#2506C2211yescharacteristic
144#2506C2211yescharacteristic
145#2501C2211yescharacteristic
146#2501C2212yes—
147#2499C2211yescharacteristic
148#2497C2212yes—
149#2496C2211yescharacteristic
150#2494C2211yescharacteristic
151#2492C2212yes—
152#2491C2212yes—
153#2491C2214yes—
154#2491C2212yes—
155#2491C2211yescharacteristic
156#2490C2212yes—
157#2490C2212yes—
158#2490C2212yes—
159#2489C2212yes—
160#2489C2212yes—
161#2489C2211yescharacteristic
162#2488C2212yes—
163#2487C2214yes—
164#2486C2211yescharacteristic
165#2485C2212yes—
166#2485C2211yescharacteristic
167#2479C2214yes—
168#2479C2214yes—
169#2478C2214yes—
170#2475C2214yes—
171#2474C2214yes—
172#2474C2214yes—
173#2474C2214yes—
174#2473C2214yes—
175#2471C2214yes—
176#2470C2214yes—
177#2460C2212yes—
178#2457C2214yes—
179#2454C2212yes—
180#2454C2212yes—
181#2454C2214yes—
182#2454C2212yes—
183#2453C2212yes—
184#2451C2214yes—
185#2451C2212yes—
186#2448C2212yes—
187#2448C2212yes—
188#2448C2212yes—
189#2448C2212yes—
190#2448C2212yes—
191#2447C2212yes—
192#2447C2214yes—
193#2447C2212yes—
194#2447C2212yes—
195#2443C2214yes—
196#2442C2212yes—
197#2441C2212yes—
198#2441C2211yescharacteristic
199#2440C2211yescharacteristic
200#2428C2212yes—
201#2428C2212yes—
202#2427C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2426C2212yes—
206#2426C2212yes—
207#2425C2214yes—
208#2425C2212yes—
209#2423C2212yes—
210#2421C2214yes—
211#2420C2212yes—
212#2416C2212yes—
213#2416C2211yescharacteristic
214#2415C2211yescharacteristic
215#2415C2212yes—
216#2414C2212yes—
217#2414C2212yes—
218#2407C2212yes—
219#2407C2214yes—
220#2401C2212yes—
221#2396C2212yes—
222#2395C2212yes—
223#2395C2212yes—
224#2379C2214yes—
225#2378C2214yes—
226#2370C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2370C2212yes—
230#2369C2212yes—
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2369C2211yescharacteristic
234#2368C2214yes—
235#2367C2212yes—
236#2367C2212yes—
237#2366C2212yes—
238#2366C2211yescharacteristic
239#2366C2211yescharacteristic
240#2365C2211yescharacteristic
241#2365C2211yescharacteristic
242#2363C2212yes—
243#2363C2212yes—
244#2362C2212yes—
245#2361C2212yes—
246#2361C2212yes—
247#2360C2212yes—
248#2360C2212yes—
249#2354C2212yes—
250#2354C2211yescharacteristic
251#2354C2212yes—
252#2354C2212yes—
253#2354C2212yes—
254#2352C2212yes—
255Q8×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2212yes—
257D4×C4⋊C4C2212yes—
258#2344C2214yes—
259#2344C2212yes—
260#2341C2212yes—
261#2330C2212yes—
262#2326C2212yes—
263#2324C2212yes—
264#2324C2212yes—
265#2324C2212yes—
266#2324C2212yes—
267#2324C2212yes—
268#2323C2212yes—
269#2323C2214yes—
270#2323C2212yes—
271#2323C2212yes—
272#2319C2212yes—
273#2316C2212yes—
274#2311C2214yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×#123C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284#2298C2212yes—
285#2296C2212yes—
286#2295C2214yes—
287#2295C2211yescharacteristic
288#2295C2212yes—
289#2293C2211yescharacteristic
290#2293C2214yes—
291#2293C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#555—48no—
301#554—28no—
302#533—28no—
303#532—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312#529—48no—
313#529—48no—
314C2×#126C2314yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2314yes—
388C2×#117C2314yes—
389C2×#117C2314yes—
390C2×#117C2314yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2314yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C42C2312yes—
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398#401C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#400C2314yes—
412#400C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2312yes—
421#399C2312yes—
422#399C2312yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2312yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2312yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2312yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2314yes—
503#391C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2311yescharacteristic
517#391C2314yes—
518#391C2311yescharacteristic
519#390C2314yes—
520#390C2314yes—
521#390C2311yescharacteristic
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2311yescharacteristic
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2314yes—
547#390C2311yescharacteristic
548#390C2312yes—
549#390C2314yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2311yescharacteristic
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2314yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2312yes—
717#382C2312yes—
718#382C2311yescharacteristic
719#382C2312yes—
720#382C2314yes—
721#382C2312yes—
722#382C2312yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#381C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2314yes—
745#380C2312yes—
746#380C2314yes—
747#380C2314yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809#376C2312yes—
810#376C2312yes—
811#376C2314yes—
812C2×#95C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2314yes—
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—82no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×Q8C2412yes—
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2414yes—
848C4⋊Q8—24no—
849C4⋊Q8—44no—
850C4⋊Q8—42no—
851C4⋊Q8—44no—
852C4⋊Q8—84no—
853C4⋊Q8#4118yes—
854#127—24no—
855#127—44no—
856#126—48no—
857#126—44no—
858#126—44no—
859#125—28no—
860#125—28no—
861#125—24no—
862#125—44no—
863#125—44no—
864#125—44no—
865#124—28no—
866#124—44no—
867#124—48no—
868#124—44no—
869#124—44no—
870#124—44no—
871#124—44no—
872#124—48no—
873#124—84no—
874#123—44no—
875#123—44no—
876#123—44no—
877#123—48no—
878#123—84no—
879C22⋊Q8—28no—
880C22⋊Q8—216no—
881C22⋊Q8—24no—
882C22⋊Q8—28no—
883C22⋊Q8—28no—
884C22⋊Q8—24no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887#121—28no—
888#121—28no—
889#121—28no—
890#121—28no—
891#121—48no—
892#121—42no—
893#121—42no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—84no—
898#121—82no—
899C4×Q8—28no—
900C4×Q8—28no—
901C4×Q8—24no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—82no—
907C4×D4—24no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—42no—
918C4×D4—44no—
919C4×D4—48no—
920C4×D4—42no—
921C4×D4—48no—
922#117—24no—
923#117—28no—
924#117—24no—
925#117—44no—
926#117—44no—
927#117—44no—
928#117—48no—
929#117—48no—
930#117—44no—
931#117—84no—
932#117—84no—
933C2×C4⋊C4—28no—
934C2×C4⋊C4—48no—
935C2×C4⋊C4—42no—
936C2×C4⋊C4—42no—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C42—28no—
1067C2×C42—24no—
1068C2×C42—24no—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2411yescharacteristic
1121#95C2412yes—
1122#95C2411yescharacteristic
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174C24C2512yes—
1175C24C2514yes—
1176C24C2511yescharacteristic
1177C24C2511yescharacteristic
1178#41—816no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8C2×#4118yes—
1194C2×D4—22no—
1195C2×D4—24no—
1196C2×D4—28no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—28no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—28no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—28no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—28no—
1249C22×C4—44no—
1250C22×C4—41no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—41no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4H(5,𝔽2)14yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2514yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—22no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—41no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4C2×#4118yes—
1367C4⋊C4C2×#4118yes—
1368C4⋊C42−1+414yes—
1369C22⋊C4—24no—
1370C22⋊C4—22no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—22no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—22no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—41no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—28no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—22no—
1440C42—24no—
1441C42—24no—
1442C42—22no—
1443C42—24no—
1444C42—24no—
1445C42—22no—
1446C42—24no—
1447C42—22no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—41no—
1455C42—44no—
1456C42—44no—
1457C42—41no—
1458C42—42no—
1459C42—42no—
1460C42C2×#4114yes—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—22no—
1468C23—24no—
1469C23—21no—
1470C23—21no—
1471C23—22no—
1472C23—24no—
1473C23—21no—
1474C23—24no—
1475C23—22no—
1476C23—22no—
1477C23—21no—
1478C23—22no—
1479C23—21no—
1480C23—24no—
1481C23—24no—
1482C23—24no—
1483C23—21no—
1484C23—22no—
1485C23—22no—
1486C23—24no—
1487C23—21no—
1488C23C2×H(5,𝔽2)12yes—
1489C23C2611yescharacteristic
1490Q8—48no—
1491Q8—44no—
1492Q8—48no—
1493Q8—84no—
1494Q8—164no—
1495D4—44no—
1496D4—48no—
1497D4—44no—
1498D4—48no—
1499D4—88no—
1500D4—84no—
1501D4—88no—
1502D4—84no—
1503D4—88no—
1504D4—84no—
1505D4—164no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—21no—
1513C2×C4—24no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—28no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—416no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—82no—
1596C2×C4—88no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—88no—
1600C2×C4—88no—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4118yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×H(5,𝔽2)12yes—
1607C2×C4C2×2−1+414yes—
1608C2×C4C2×2−1+412yes—
1609C2×C4#58512yes—
1610C2×C4#58512yes—
1611C2×C4#58512yes—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—44no—
1621C22—42no—
1622C22—44no—
1623C22—41no—
1624C22—42no—
1625C22—42no—
1626C22—44no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—44no—
1631C22—41no—
1632C22—42no—
1633C22—44no—
1634C22—41no—
1635C22—44no—
1636C22—42no—
1637C22—41no—
1638C22—42no—
1639C22—44no—
1640C22C23×#4111yescharacteristic
1641C22C22×H(5,𝔽2)11yescharacteristic
1642C22C22×2−1+411yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22C2×#58511yescharacteristic
1646C22H(7,𝔽2)11yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—28no—
1650C4—24no—
1651C4—22no—
1652C4—41no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—42no—
1663C4—42no—
1664C4—41no—
1665C4—41no—
1666C4—44no—
1667C4—42no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—44no—
1673C4—42no—
1674C4—41no—
1675C4—42no—
1676C4#352214yes—
1677C4#352414yes—
1678C2—42no—
1679C2—81no—
1680C2—84no—
1681C2—82no—
1682C2#6275911yescharacteristic
1683C2C2×#352211yescharacteristic
1684C2C2×#352411yescharacteristic
1685C2#6295211yescharacteristic
1686C2#6295511yescharacteristic
1687C2#6299011yescharacteristic
1688C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59668C2semidirect
2. #59563C2semidirect
3. #59119C2semidirect
4. #59079C2semidirect
5. #59057C2semidirect
6. #51922C2semidirect
7. #51876C2semidirect
8. #46101C2semidirect
9. #45358C2semidirect
10. #45205C2semidirect
11. #45075C2semidirect
12. #45069C2semidirect
13. #42635C2semidirect
14. #42632C2semidirect
15. #42565C2semidirect
16. #42564C2semidirect
17. #39771C2semidirect
18. #39737C2semidirect
19. #39609C2semidirect
20. #39202C2semidirect
21. #38285C2semidirect
22. #38201C2semidirect
23. #38050C2semidirect
24. #36300C2semidirect
25. #36297C2semidirect
26. #36273C2semidirect
27. #36150C2semidirect
28. #36117C2semidirect
29. #35216C2semidirect
30. #35212C2semidirect
31. #34793C2semidirect
32. #34763C2semidirect
33. #34484C2semidirect
34. #34368C2semidirect
35. #34145C2semidirect

Maximal subgroups

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

subgroupindex
#596682
#595632
#591192
#590792
#590572
#519222
#518762
#461012
#453582
#452052
#450752
#450692
#426352
#426322
#425652
#425642
#397712
#397372
#396092
#392022
#382852
#382012
#380502
#363002
#362972
#362732
#361502
#361172
#352162
#352122
#347932
#347632
#344842
#343682
#341452