Finite Group Databasebeta

← #7657994

Subgroups — #7657994

Order 512.

5024 conjugacy classes of subgroups.

The subgroup lattice has 1754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42616C212yesmaximal, complemented
2#42592C212yesmaximal, complemented
3#42576C212yesmaximal, complemented
4#42566C212yesmaximal, complemented
5#40886C214yesmaximal, complemented
6#40873C214yesmaximal, complemented
7#40779C214yesmaximal, complemented
8#40768C214yesmaximal, complemented
9#39480C211yesmaximal, characteristic, complemented
10#39352C211yesmaximal, characteristic, complemented
11#39201C211yesmaximal, characteristic, complemented
12#39193C211yesmaximal, characteristic, complemented
13#38129C212yesmaximal, complemented
14#38118C212yesmaximal, complemented
15#37858C212yesmaximal, complemented
16#37670C212yesmaximal, complemented
17#37637C211yesmaximal, characteristic, complemented
18#37626C211yesmaximal, characteristic, complemented
19#37508C212yesmaximal, complemented
20#37501C212yesmaximal, complemented
21#36416C211yesmaximal, characteristic, complemented
22#36412C211yesmaximal, characteristic, complemented
23#36160C211yesmaximal, characteristic, complemented
24#36101C211yesmaximal, characteristic, complemented
25#35978C212yesmaximal, complemented
26#35890C212yesmaximal, complemented
27#35849C212yesmaximal, complemented
28#35813C212yesmaximal, complemented
29#35288C211yesmaximal, characteristic, complemented
30#35261C212yesmaximal, complemented
31#34635C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34330C211yesmaximal, characteristic, complemented
34#34321C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#540C2212yes—
39C2×#525C2212yes—
40C22×C4×D4C2211yescharacteristic
41C22×#117C2212yes—
42#2859C2211yescharacteristic, complemented
43#2858C2211yescharacteristic, complemented
44#2857C2211yescharacteristic
45#2856C2211yescharacteristic
46#2856C2212yescomplemented
47#2851C2212yescomplemented
48#2847C2212yes—
49#2847C2212yes—
50#2831C2214yescomplemented
51#2828C2214yescomplemented
52#2827C2214yescomplemented
53#2826C2214yes—
54#2825C2214yes—
55#2824C2214yescomplemented
56#2782C2214yescomplemented
57#2779C2214yescomplemented
58#2778C2214yes—
59#2762C2214yescomplemented
60#2757C2214yescomplemented
61#2749C2214yes—
62#2746C2214yescomplemented
63#2743C2214yescomplemented
64#2737C2214yescomplemented
65#2714C2214yes—
66#2712C2214yescomplemented
67#2711C2214yescomplemented
68#2710C2214yescomplemented
69#2708C2214yescomplemented
70#2706C2214yescomplemented
71#2706C2214yescomplemented
72#2693C2214yescomplemented
73#2690C2214yes—
74#2688C2214yes—
75#2685C2214yes—
76#2684C2214yes—
77#2678C2214yes—
78#2671C2214yes—
79#2668C2214yes—
80#2654C2212yescomplemented
81#2654C2214yescomplemented
82#2653C2212yes—
83#2653C2214yescomplemented
84#2651C2214yescomplemented
85#2650C2212yescomplemented
86#2649C2212yes—
87#2648C2214yescomplemented
88#2647C2212yescomplemented
89#2647C2211yescharacteristic, complemented
90#2645C2211yescharacteristic, complemented
91#2644C2212yes—
92#2644C2211yescharacteristic, complemented
93#2644C2212yescomplemented
94#2640C2211yescharacteristic, complemented
95#2637C2214yescomplemented
96#2635C2214yescomplemented
97#2633C2214yescomplemented
98#2631C2214yes—
99#2630C2214yes—
100#2630C2214yescomplemented
101#2629C2212yescomplemented
102#2628C2211yescharacteristic
103#2625C2212yes—
104#2625C2211yescharacteristic
105#2625C2212yescomplemented
106#2625C2212yescomplemented
107#2624C2211yescharacteristic
108#2624C2212yes—
109#2624C2212yes—
110#2624C2212yescomplemented
111#2624C2212yescomplemented
112#2624C2212yescomplemented
113#2623C2214yescomplemented
114#2623C2214yescomplemented
115#2622C2214yes—
116#2622C2214yes—
117#2620C2211yescharacteristic
118#2619C2212yes—
119#2619C2212yescomplemented
120#2595C2214yescomplemented
121#2589C2214yescomplemented
122#2587C2214yescomplemented
123#2580C2212yes—
124#2580C2212yescomplemented
125#2578C2214yescomplemented
126#2578C2214yescomplemented
127#2577C2214yescomplemented
128#2572C2214yes—
129#2571C2211yescharacteristic, complemented
130#2570C2212yescomplemented
131#2567C2211yescharacteristic, complemented
132#2566C2212yes—
133#2563C2211yescharacteristic
134#2558C2214yescomplemented
135#2557C2214yescomplemented
136#2555C2214yescomplemented
137#2555C2214yescomplemented
138#2554C2214yescomplemented
139#2552C2211yescharacteristic, complemented
140#2548C2212yes—
141#2541C2211yescharacteristic
142#2541C2211yescharacteristic, complemented
143#2538C2211yescharacteristic
144#2537C2212yes—
145#2537C2211yescharacteristic
146#2521C2214yescomplemented
147#2516C2214yes—
148#2516C2214yescomplemented
149#2516C2214yescomplemented
150#2515C2214yescomplemented
151#2514C2212yescomplemented
152#2513C2212yescomplemented
153#2513C2212yescomplemented
154#2512C2212yes—
155#2510C2214yescomplemented
156#2508C2212yescomplemented
157#2506C2212yescomplemented
158#2506C2212yescomplemented
159#2504C2212yes—
160#2501C2212yescomplemented
161#2500C2212yescomplemented
162#2496C2212yescomplemented
163#2495C2212yes—
164#2495C2212yescomplemented
165#2495C2212yescomplemented
166#2494C2212yes—
167#2493C2214yescomplemented
168#2491C2212yescomplemented
169#2490C2212yes—
170#2490C2212yes—
171#2490C2214yescomplemented
172#2489C2212yescomplemented
173#2485C2212yes—
174#2476C2214yes—
175#2476C2214yes—
176#2472C2214yes—
177#2471C2214yescomplemented
178#2471C2214yescomplemented
179#2459C2214yes—
180#2457C2214yescomplemented
181#2456C2214yes—
182#2454C2212yescomplemented
183#2454C2212yescomplemented
184#2448C2212yescomplemented
185#2447C2212yescomplemented
186#2445C2212yes—
187#2445C2212yes—
188#2445C2212yescomplemented
189#2444C2214yes—
190#2443C2214yescomplemented
191#2443C2214yescomplemented
192#2442C2212yescomplemented
193#2441C2212yescomplemented
194#2439C2212yescomplemented
195#2433C2212yes—
196#2431C2212yescomplemented
197#2428C2212yes—
198#2428C2212yes—
199#2428C2212yes—
200#2428C2212yescomplemented
201#2427C2212yes—
202#2427C2212yescomplemented
203#2426C2212yes—
204#2425C2214yescomplemented
205#2424C2214yes—
206#2424C2214yes—
207#2424C2214yes—
208#2422C2212yescomplemented
209#2422C2212yescomplemented
210#2420C2212yes—
211#2420C2214yes—
212#2420C2212yes—
213#2420C2212yescomplemented
214#2420C2212yescomplemented
215#2416C2212yes—
216#2414C2212yes—
217#2414C2212yes—
218#2408C2212yes—
219#2407C2212yes—
220#2401C2212yescomplemented
221#2398C2212yes—
222#2396C2212yescomplemented
223#2395C2214yes—
224#2395C2212yes—
225#2395C2214yes—
226#2395C2214yescomplemented
227#2395C2214yescomplemented
228#2370C2212yescomplemented
229#2369C2211yescharacteristic, complemented
230#2367C2214yescomplemented
231#2366C2212yes—
232#2366C2212yes—
233#2366C2211yescharacteristic, complemented
234#2364C2214yescomplemented
235#2363C2212yes—
236#2363C2212yescomplemented
237#2363C2212yescomplemented
238#2363C2212yescomplemented
239#2363C2212yescomplemented
240#2361C2212yes—
241#2361C2212yes—
242#2357C2212yescomplemented
243#2355C2212yescomplemented
244#2355C2211yescharacteristic, complemented
245#2354C2211yescharacteristic
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic
248#2354C2211yescharacteristic
249#2352C2212yes—
250#2352C2212yes—
251#2352C2212yes—
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic, complemented
255#2347C2212yescomplemented
256#2347C2212yescomplemented
257#2344C2211yescharacteristic
258#2344C2211yescharacteristic
259#2342C2212yes—
260#2342C2212yes—
261#2339C2212yescomplemented
262D4×C22⋊C4C2211yescharacteristic
263D4×C22⋊C4C2211yescharacteristic
264#2337C2214yescomplemented
265#2333C2214yescomplemented
266#2328C2212yes—
267#2324C2212yes—
268#2324C2212yes—
269#2324C2212yescomplemented
270#2324C2212yescomplemented
271#2319C2212yescomplemented
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#127C2211yescharacteristic, complemented
276C4×#124C2211yescharacteristic, complemented
277C4×C22⋊Q8C2211yescharacteristic
278C4×#121C2211yescharacteristic
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
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#2275C2212yescomplemented
295#2274C2212yescomplemented
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#555—28no—
303#550—28no—
304#540—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309C2×#127C2312yes—
310C2×#127C2312yes—
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#124C2314yes—
316C2×#124C2311yescharacteristic
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2314yes—
320#525—48no—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#121C2311yescharacteristic
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×D4—28no—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2311yescharacteristic
378C2×#117—48no—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2312yes—
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402C22×C42C2312yes—
403#401C2314yes—
404#401C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2312yes—
428#399C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
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#397C2312yes—
454#397C2314yes—
455#397C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#396C2312yes—
477#395C2314yes—
478#395C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2312yes—
507#393C2314yes—
508#393C2312yes—
509#393C2314yes—
510#393C2314yes—
511#393C2312yes—
512#393C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2312yes—
531#391C2311yescharacteristic
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2311yescharacteristic
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2314yes—
552#390C2311yescharacteristic
553#390C2311yescharacteristic
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2314yes—
562#390C2311yescharacteristic
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2314yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
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#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2314yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#385C2314yes—
704#385C2312yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2312yes—
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#383C2314yes—
713#383C2314yes—
714#383C2314yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2311yescharacteristic
722#382C2314yes—
723#381C2312yes—
724#381C2314yes—
725#381C2314yes—
726#381C2314yes—
727#381C2312yes—
728#381C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#379C2312yes—
752#379C2312yes—
753#379C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2311yescharacteristic
811#376C2312yes—
812#376C2311yescharacteristic
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—44no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×D4—24no—
824C22×D4—42no—
825C22×D4—42no—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C23×C4—28no—
844C23×C4—28no—
845C23×C4—44no—
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C4⋊Q8—24no—
864C4⋊Q8—42no—
865#127—28no—
866#127—24no—
867#127—44no—
868#127—44no—
869#126—84no—
870#125—44no—
871#125—44no—
872#125—84no—
873#124—216no—
874#124—42no—
875#124—84no—
876#124—82no—
877#124—82no—
878#123—48no—
879#123—48no—
880#123—48no—
881#123—84no—
882#123—84no—
883C22⋊Q8—24no—
884C22⋊Q8—44no—
885C22⋊Q8—82no—
886#121—28no—
887#121—28no—
888#121—28no—
889#121—28no—
890#121—24no—
891#121—216no—
892#121—48no—
893#121—48no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121—44no—
899#121—44no—
900#121—44no—
901#121—84no—
902#121—84no—
903#121—84no—
904#121—82no—
905#120—48no—
906#120—84no—
907#120—84no—
908C4×Q8—24no—
909C4×Q8—44no—
910C4×Q8—82no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—42no—
919C4×D4—44no—
920C4×D4—42no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—42no—
924C4×D4—42no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929C4×D4—48no—
930C4×D4—82no—
931C4×D4—84no—
932C4×D4—84no—
933C4×D4#4118yes—
934#117—28no—
935#117—24no—
936#117—28no—
937#117—28no—
938#117—44no—
939#117—44no—
940#117—44no—
941#117—42no—
942#117—44no—
943#117—44no—
944#117—44no—
945#117—44no—
946#117—44no—
947#117—44no—
948C2×C4⋊C4—24no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C22⋊C4—28no—
1012C2×C22⋊C4—44no—
1013C2×C22⋊C4—44no—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C42—24no—
1084C2×C42—44no—
1085C2×C42—44no—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2414yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183C24—24no—
1184C24—24no—
1185C24—42no—
1186C24—42no—
1187C24—42no—
1188C24—42no—
1189C24—42no—
1190C24C2512yes—
1191C24C2512yes—
1192C24C2514yes—
1193C24C2512yes—
1194C24C2511yescharacteristic
1195#41—816no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×D4—24no—
1206C2×D4—28no—
1207C2×D4—28no—
1208C2×D4—28no—
1209C2×D4—28no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—416no—
1256C2×D4C2×#4114yes—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—24no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—28no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—432no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—41no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—41no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4C2×#4118yes—
1308C22×C4H(5,𝔽2)14yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2514yes—
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4C2×#4114yes—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—41no—
1417C22⋊C4—42no—
1418C22⋊C4—41no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4C2×#4118yes—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—28no—
1471C42—24no—
1472C42—22no—
1473C42—22no—
1474C42—24no—
1475C42—24no—
1476C42—22no—
1477C42—22no—
1478C42—24no—
1479C42—22no—
1480C42—22no—
1481C42—24no—
1482C42—22no—
1483C42—22no—
1484C42—42no—
1485C42—42no—
1486C42—42no—
1487C42—42no—
1488C42—44no—
1489C42—44no—
1490C42—41no—
1491C42—44no—
1492C42—44no—
1493C42—41no—
1494C42—44no—
1495C42—41no—
1496C42—41no—
1497C42C2×#4114yes—
1498C23—21no—
1499C23—22no—
1500C23—21no—
1501C23—22no—
1502C23—21no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23—21no—
1507C23—22no—
1508C23—22no—
1509C23—21no—
1510C23—22no—
1511C23—22no—
1512C23—24no—
1513C23—24no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—24no—
1519C23—24no—
1520C23—24no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—24no—
1527C23—22no—
1528C23—24no—
1529C23—22no—
1530C23—22no—
1531C23—48no—
1532C23—48no—
1533C23—84no—
1534C23—84no—
1535C23—84no—
1536C23—84no—
1537C23—84no—
1538C23C22×#4114yes—
1539C23C2×H(5,𝔽2)12yes—
1540C23C2611yescharacteristic
1541Q8—44no—
1542Q8—84no—
1543Q8—84no—
1544D4—28no—
1545D4—48no—
1546D4—48no—
1547D4—44no—
1548D4—44no—
1549D4—48no—
1550D4—84no—
1551D4—88no—
1552D4—88no—
1553D4—84no—
1554D4—88no—
1555D4—88no—
1556D4—88no—
1557D4—164no—
1558D4—164no—
1559D4—164no—
1560D4—164no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—28no—
1568C2×C4—216no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—24no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—24no—
1633C2×C4—24no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—48no—
1645C2×C4—48no—
1646C2×C4—48no—
1647C2×C4—48no—
1648C2×C4—44no—
1649C2×C4—48no—
1650C2×C4—82no—
1651C2×C4—88no—
1652C2×C4—84no—
1653C2×C4—84no—
1654C2×C4—84no—
1655C2×C4—84no—
1656C2×C4—164no—
1657C2×C4—164no—
1658C2×C4—164no—
1659C2×C4C22×#4114yes—
1660C2×C4C22×#4112yes—
1661C2×C4C22×#4112yes—
1662C2×C4C22×#4112yes—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×H(5,𝔽2)12yes—
1665C2×C4#58512yes—
1666C2×C4#58512yes—
1667C2×C4#58512yes—
1668C22—22no—
1669C22—24no—
1670C22—24no—
1671C22—22no—
1672C22—24no—
1673C22—22no—
1674C22—41no—
1675C22—42no—
1676C22—42no—
1677C22—41no—
1678C22—41no—
1679C22—42no—
1680C22—42no—
1681C22—41no—
1682C22—42no—
1683C22—44no—
1684C22—42no—
1685C22—44no—
1686C22—42no—
1687C22—42no—
1688C22—44no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—44no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—44no—
1697C22—42no—
1698C22—44no—
1699C22—42no—
1700C22—44no—
1701C22—42no—
1702C22—42no—
1703C22—816no—
1704C22C23×#4111yescharacteristic
1705C22C22×H(5,𝔽2)11yescharacteristic
1706C22C2×#58511yescharacteristic
1707C22C2×#58511yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22H(7,𝔽2)11yescharacteristic
1710C22H(7,𝔽2)11yescharacteristic
1711C4—22no—
1712C4—24no—
1713C4—22no—
1714C4—42no—
1715C4—42no—
1716C4—41no—
1717C4—42no—
1718C4—44no—
1719C4—41no—
1720C4—41no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—41no—
1726C4—42no—
1727C4—42no—
1728C4—41no—
1729C4—42no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—42no—
1734C4—42no—
1735C4—44no—
1736C4—41no—
1737C4—41no—
1738C4—44no—
1739C4#345514yes—
1740C4#351314yes—
1741C2—44no—
1742C2—42no—
1743C2—84no—
1744C2—82no—
1745C2—82no—
1746C2C2×#345511yescharacteristic
1747C2C2×#351311yescharacteristic
1748C2#6285811yescharacteristic
1749C2#6293011yescharacteristic
1750C2#6293711yescharacteristic
1751C2#6295511yescharacteristic
1752C2#6296611yescharacteristic
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. #42616C2semidirect
2. #42592C2semidirect
3. #42576C2semidirect
4. #42566C2semidirect
5. #40886C2semidirect
6. #40873C2semidirect
7. #40779C2semidirect
8. #40768C2semidirect
9. #39480C2semidirect
10. #39352C2semidirect
11. #39201C2semidirect
12. #39193C2semidirect
13. #38129C2semidirect
14. #38118C2semidirect
15. #37858C2semidirect
16. #37670C2semidirect
17. #37637C2semidirect
18. #37626C2semidirect
19. #37508C2semidirect
20. #37501C2semidirect
21. #36416C2semidirect
22. #36412C2semidirect
23. #36160C2semidirect
24. #36101C2semidirect
25. #35978C2semidirect
26. #35890C2semidirect
27. #35849C2semidirect
28. #35813C2semidirect
29. #35288C2semidirect
30. #35261C2semidirect
31. #34635C2semidirect
32. #34619C2semidirect
33. #34330C2semidirect
34. #34321C2semidirect
35. D4×#117C2semidirect
42. #2859C22semidirect
43. #2858C22semidirect
46. #2856C22semidirect
47. #2851C22semidirect
50. #2831C22semidirect
51. #2828C22semidirect
52. #2827C22semidirect
55. #2824C22semidirect
56. #2782C22semidirect
57. #2779C22semidirect
59. #2762C22semidirect
60. #2757C22semidirect
62. #2746C22semidirect
63. #2743C22semidirect
64. #2737C22semidirect
66. #2712C22semidirect
67. #2711C22semidirect
68. #2710C22semidirect
69. #2708C22semidirect
70. #2706C22semidirect
71. #2706C22semidirect
72. #2693C22semidirect
80. #2654C22semidirect
81. #2654C22semidirect
83. #2653C22semidirect
84. #2651C22semidirect
85. #2650C22semidirect
87. #2648C22semidirect
88. #2647C22semidirect
89. #2647C22semidirect
90. #2645C22semidirect
92. #2644C22semidirect
93. #2644C22semidirect
94. #2640C22semidirect
95. #2637C22semidirect
96. #2635C22semidirect
97. #2633C22semidirect
100. #2630C22semidirect
101. #2629C22semidirect
105. #2625C22semidirect
106. #2625C22semidirect
110. #2624C22semidirect
111. #2624C22semidirect
112. #2624C22semidirect
113. #2623C22semidirect
114. #2623C22semidirect
119. #2619C22semidirect
120. #2595C22semidirect
121. #2589C22semidirect
122. #2587C22semidirect
124. #2580C22semidirect
125. #2578C22semidirect
126. #2578C22semidirect
127. #2577C22semidirect
129. #2571C22semidirect
130. #2570C22semidirect
131. #2567C22semidirect
134. #2558C22semidirect
135. #2557C22semidirect
136. #2555C22semidirect
137. #2555C22semidirect
138. #2554C22semidirect
139. #2552C22semidirect
142. #2541C22semidirect
146. #2521C22semidirect
148. #2516C22semidirect
149. #2516C22semidirect
150. #2515C22semidirect
151. #2514C22semidirect
152. #2513C22semidirect
153. #2513C22semidirect
155. #2510C22semidirect
156. #2508C22semidirect
157. #2506C22semidirect
158. #2506C22semidirect
160. #2501C22semidirect
161. #2500C22semidirect
162. #2496C22semidirect
164. #2495C22semidirect
165. #2495C22semidirect
167. #2493C22semidirect
168. #2491C22semidirect
171. #2490C22semidirect
172. #2489C22semidirect
177. #2471C22semidirect
178. #2471C22semidirect
180. #2457C22semidirect
182. #2454C22semidirect
183. #2454C22semidirect
184. #2448C22semidirect
185. #2447C22semidirect
188. #2445C22semidirect
190. #2443C22semidirect
191. #2443C22semidirect
192. #2442C22semidirect
193. #2441C22semidirect
194. #2439C22semidirect
196. #2431C22semidirect
200. #2428C22semidirect
202. #2427C22semidirect
204. #2425C22semidirect
208. #2422C22semidirect
209. #2422C22semidirect
213. #2420C22semidirect
214. #2420C22semidirect
220. #2401C22semidirect
222. #2396C22semidirect
226. #2395C22semidirect
227. #2395C22semidirect
228. #2370C22semidirect
229. #2369C22semidirect
230. #2367C22semidirect
233. #2366C22semidirect
234. #2364C22semidirect
236. #2363C22semidirect
237. #2363C22semidirect
238. #2363C22semidirect
239. #2363C22semidirect
242. #2357C22semidirect
243. #2355C22semidirect
244. #2355C22semidirect
254. D4×C4⋊C4C22semidirect
255. #2347C22semidirect
256. #2347C22semidirect
261. #2339C22semidirect
264. #2337C22semidirect
265. #2333C22semidirect
269. #2324C22semidirect
270. #2324C22semidirect
271. #2319C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×#127C22semidirect
276. C4×#124C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. #2297C22semidirect
282. #2297C22semidirect
283. #2296C22semidirect
284. #2296C22semidirect
285. #2295C22semidirect
288. #2293C22semidirect
294. #2275C22semidirect
295. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#426162
#425922
#425762
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D4×#1172