Finite Group Databasebeta

← #7652098

Subgroups — #7652098

Order 512.

4887 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42948C212yesmaximal, complemented
2#42925C212yesmaximal, complemented
3#42870C212yesmaximal, complemented
4#42836C212yesmaximal, complemented
5#42656C212yesmaximal, complemented
6#42601C212yesmaximal, complemented
7#42577C212yesmaximal, complemented
8#42453C212yesmaximal, complemented
9#40890C214yesmaximal, complemented
10#40791C214yesmaximal, complemented
11#40168C212yesmaximal, complemented
12#40052C212yesmaximal, complemented
13#39939C212yesmaximal, complemented
14#39938C212yesmaximal, complemented
15#39732C212yesmaximal, complemented
16#39658C212yesmaximal, complemented
17#39604C212yesmaximal, complemented
18#39239C212yesmaximal, complemented
19#38576C214yesmaximal, complemented
20#38536C214yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35575C211yesmaximal, characteristic, complemented
23#35545C211yesmaximal, characteristic, complemented
24#35532C211yesmaximal, characteristic, complemented
25#35518C211yesmaximal, characteristic
26#35516C211yesmaximal, characteristic, complemented
27#35255C211yesmaximal, characteristic, complemented
28#35253C211yesmaximal, characteristic, complemented
29#35181C211yesmaximal, characteristic, complemented
30#34810C211yesmaximal, characteristic, complemented
31C2×#2497C211yesmaximal, characteristic, complemented
32#34742C211yesmaximal, characteristic, complemented
33#34274C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic, complemented
35#34183C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2857C2212yes—
46#2855C2212yescomplemented
47#2854C2212yescomplemented
48#2851C2212yes—
49#2851C2214yes—
50#2839C2214yescomplemented
51#2837C2214yes—
52#2827C2214yes—
53#2827C2214yescomplemented
54#2810C2214yescomplemented
55#2802C2214yescomplemented
56#2796C2214yes—
57#2796C2214yescomplemented
58#2795C2214yes—
59#2793C2214yescomplemented
60#2792C2214yescomplemented
61#2791C2214yescomplemented
62#2790C2214yes—
63#2790C2214yescomplemented
64#2783C2214yes—
65#2773C2214yes—
66#2773C2214yescomplemented
67#2770C2214yescomplemented
68#2750C2214yes—
69#2747C2214yescomplemented
70#2746C2214yes—
71#2745C2214yescomplemented
72#2743C2214yescomplemented
73#2739C2214yescomplemented
74#2737C2214yes—
75#2732C2214yes—
76#2728C2214yescomplemented
77#2720C2214yes—
78#2718C2214yes—
79#2711C2214yes—
80#2707C2214yes—
81#2706C2214yes—
82#2694C2214yescomplemented
83#2693C2214yes—
84#2689C2214yescomplemented
85#2681C2214yes—
86#2667C2214yes—
87#2663C2214yes—
88#2655C2214yescomplemented
89#2654C2214yescomplemented
90#2654C2214yescomplemented
91#2652C2214yescomplemented
92#2650C2214yes—
93#2649C2214yes—
94#2646C2214yes—
95#2638C2214yescomplemented
96#2636C2214yes—
97#2629C2212yes—
98#2628C2212yes—
99#2627C2214yescomplemented
100#2625C2212yescomplemented
101#2624C2212yescomplemented
102#2618C2214yes—
103#2594C2214yes—
104#2588C2214yescomplemented
105#2575C2214yescomplemented
106#2573C2214yes—
107#2571C2212yescomplemented
108#2571C2212yescomplemented
109#2570C2212yescomplemented
110#2570C2212yescomplemented
111#2570C2212yescomplemented
112#2570C2212yescomplemented
113#2569C2214yes—
114#2567C2212yescomplemented
115#2566C2212yescomplemented
116#2565C2212yescomplemented
117#2564C2214yes—
118#2558C2214yes—
119#2556C2214yescomplemented
120#2552C2212yescomplemented
121#2552C2212yescomplemented
122#2542C2212yescomplemented
123#2538C2212yes—
124#2537C2212yes—
125#2536C2212yes—
126#2535C2212yes—
127#2517C2214yescomplemented
128#2514C2212yescomplemented
129#2513C2212yescomplemented
130#2512C2212yescomplemented
131#2511C2212yescomplemented
132#2510C2214yes—
133#2509C2212yescomplemented
134#2509C2212yescomplemented
135#2508C2212yescomplemented
136#2508C2212yescomplemented
137#2507C2212yescomplemented
138#2507C2212yescomplemented
139#2506C2212yescomplemented
140#2506C2212yescomplemented
141#2504C2211yescharacteristic
142#2503C2211yescharacteristic
143#2502C2211yescharacteristic
144#2501C2211yescharacteristic
145#2500C2211yescharacteristic
146#2500C2211yescharacteristic
147#2499C2211yescharacteristic
148#2499C2211yescharacteristic
149#2498C2212yes—
150#2498C2212yes—
151#2497C2212yes—
152#2497C2212yes—
153#2497C2212yes—
154#2497C2212yes—
155#2497C2212yes—
156#2497C2212yes—
157#2497C2212yes—
158#2497C2212yes—
159#2497C2212yescomplemented
160#2496C2212yescomplemented
161#2495C2212yescomplemented
162#2494C2212yescomplemented
163#2487C2212yes—
164#2486C2212yes—
165#2485C2212yes—
166#2485C2212yes—
167#2481C2214yes—
168#2481C2214yescomplemented
169#2473C2214yescomplemented
170#2463C2214yes—
171#2454C2212yescomplemented
172#2453C2212yescomplemented
173#2452C2212yescomplemented
174#2451C2212yescomplemented
175#2449C2214yes—
176#2449C2214yes—
177#2449C2214yes—
178#2444C2214yes—
179#2443C2214yes—
180#2443C2214yes—
181#2442C2214yes—
182#2442C2212yes—
183#2442C2212yescomplemented
184#2441C2212yes—
185#2441C2212yescomplemented
186#2441C2212yescomplemented
187#2441C2212yescomplemented
188#2440C2212yes—
189#2440C2212yescomplemented
190#2440C2212yescomplemented
191#2440C2212yescomplemented
192#2439C2212yes—
193#2439C2212yescomplemented
194#2438C2214yes—
195#2437C2214yes—
196#2425C2214yes—
197#2424C2214yes—
198#2423C2211yescharacteristic
199#2423C2212yes—
200#2423C2211yescharacteristic
201#2423C2212yescomplemented
202#2422C2212yes—
203#2422C2211yescharacteristic
204#2422C2211yescharacteristic
205#2422C2212yescomplemented
206#2421C2212yes—
207#2421C2211yescharacteristic
208#2421C2211yescharacteristic
209#2421C2212yescomplemented
210#2420C2212yes—
211#2420C2211yescharacteristic
212#2420C2211yescharacteristic
213#2420C2212yescomplemented
214#2419C2212yes—
215#2419C2214yes—
216#2419C2212yes—
217#2418C2212yes—
218#2418C2214yes—
219#2418C2212yes—
220#2417C2214yes—
221#2417C2212yes—
222#2416C2212yes—
223#2415C2212yes—
224#2414C2212yes—
225#2412C2212yes—
226#2412C2212yes—
227#2395C2212yes—
228#2395C2212yes—
229#2395C2212yes—
230#2395C2212yes—
231C2×#400C2212yes—
232C2×#396C2212yes—
233#2363C2212yescomplemented
234#2363C2212yescomplemented
235#2362C2212yescomplemented
236#2362C2212yescomplemented
237#2361C2212yescomplemented
238#2361C2212yescomplemented
239#2360C2212yescomplemented
240#2360C2212yescomplemented
241#2359C2214yes—
242#2358C2214yes—
243#2354C2212yes—
244#2352C2212yes—
245#2352C2212yes—
246Q8×C4⋊C4C2212yescomplemented
247Q8×C4⋊C4C2212yescomplemented
248D4×C4⋊C4C2214yes—
249D4×C4⋊C4C2214yes—
250D4×C4⋊C4C2212yes—
251D4×C4⋊C4C2212yescomplemented
252D4×C4⋊C4C2212yescomplemented
253#2336C2214yescomplemented
254#2335C2214yes—
255#2325C2214yes—
256#2324C2212yes—
257#2323C2212yes—
258#2322C2214yes—
259#2322C2214yescomplemented
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2212yescomplemented
266#2317C2212yescomplemented
267#2316C2211yescharacteristic
268#2316C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272C4×C22⋊Q8C2212yes—
273C4×#123C2212yes—
274C4×#123C2212yes—
275C4×#123C2212yes—
276C4×#123C2212yes—
277C4×#121C2212yes—
278C4×#121C2214yes—
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2297C2211yescharacteristic
282#2296C2211yescharacteristic
283C2×#389C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#388C2212yes—
286C2×#387C2212yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2285C2212yescomplemented
291C2×#384C2211yescharacteristic
292C2×#384C2212yescomplemented
293#2280C2211yescharacteristic
294C2×#380C2211yescharacteristic
295C2×#380C2211yescharacteristic
296#2274C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#544—44no—
303#537—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×#126C2314yes—
307C2×#125C2312yes—
308C2×#125C2314yes—
309C2×#125C2312yes—
310C2×#125C2314yes—
311#525—28no—
312#525—44no—
313C2×#123C2312yes—
314C2×#123C2312yes—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×#121C2311yescharacteristic
333C2×#121C2314yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2314yes—
340C2×#120C2312yes—
341C2×#120C2312yes—
342#520—44no—
343#520—44no—
344#520—44no—
345C4×#41—28no—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2314yes—
367C2×#117—44no—
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2312yes—
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2314yes—
393C22×C4⋊C4C2314yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2312yes—
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2312yes—
401C22×C22⋊C4C2312yes—
402C22×C42C2312yes—
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2312yes—
406C22×C42C2312yes—
407#401C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2312yes—
429#400C2312yes—
430#400C2312yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2312yes—
435#399C2314yes—
436#399C2314yes—
437#399C2312yes—
438#399C2312yes—
439#399C2312yes—
440#399C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2312yes—
459#398C2314yes—
460#398C2312yes—
461#398C2312yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2312yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2312yes—
477#397C2314yes—
478#397C2312yes—
479#397C2312yes—
480#397C2312yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2312yes—
516#393C2314yes—
517#393C2314yes—
518#392C2314yes—
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2314yes—
525#391C2314yes—
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2314yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#390C2314yes—
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#385C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2311yescharacteristic
708#384C2311yescharacteristic
709#384C2312yes—
710#384C2314yes—
711#384C2314yes—
712#384C2312yes—
713#384C2312yes—
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#383C2314yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#382C2311yescharacteristic
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2312yes—
726#382C2312yes—
727#382C2314yes—
728#382C2312yes—
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#382C2314yes—
732#381C2312yes—
733#381C2314yes—
734#381C2314yes—
735#381C2312yes—
736#381C2312yes—
737#381C2312yes—
738#381C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#379C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2312yes—
818C2×#95C2311yescharacteristic
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41#4118yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2414yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C23×C4—24no—
839C23×C4—24no—
840C23×C4—24no—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2411yescharacteristic
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866#126—84no—
867#125—44no—
868#125—44no—
869#125—48no—
870#125—84no—
871#123—28no—
872#123—28no—
873#123—28no—
874#123—44no—
875#123—44no—
876#123—48no—
877#123—44no—
878#123—84no—
879C22⋊Q8—24no—
880C22⋊Q8—24no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—48no—
884C22⋊Q8—42no—
885C22⋊Q8—42no—
886C22⋊Q8—84no—
887C22⋊Q8—84no—
888C22⋊Q8—84no—
889C22⋊Q8—84no—
890#121—24no—
891#121—24no—
892#121—28no—
893#121—216no—
894#121—28no—
895#121—42no—
896#121—42no—
897#121—84no—
898#120—28no—
899#120—44no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—48no—
917C4×D4—48no—
918C4×D4—48no—
919C4×D4—84no—
920C4×D4—84no—
921#117—28no—
922#117—24no—
923#117—24no—
924#117—24no—
925#117—24no—
926#117—24no—
927#117—24no—
928#117—44no—
929#117—44no—
930#117—42no—
931#117—42no—
932#117—44no—
933#117—44no—
934#117—44no—
935C2×C4⋊C4—24no—
936C2×C4⋊C4—24no—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—24no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—42no—
941C2×C4⋊C4—42no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—82no—
946C2×C4⋊C4—82no—
947C2×C4⋊C4—84no—
948C2×C4⋊C4—84no—
949C2×C4⋊C4—82no—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C22⋊C4—24no—
1024C2×C22⋊C4—42no—
1025C2×C22⋊C4—44no—
1026C2×C22⋊C4—82no—
1027C2×C22⋊C4—82no—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C42—28no—
1086C2×C42—24no—
1087C2×C42—24no—
1088C2×C42—44no—
1089C2×C42—82no—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2414yes—
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24C2511yescharacteristic
1195C24C2512yes—
1196C24C2512yes—
1197C24C2511yescharacteristic
1198C24C2511yescharacteristic
1199#41—232no—
1200#41—416no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×Q8C2×#4114yes—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—42no—
1235C2×D4C2×#4118yes—
1236C2×D4C2×#4114yes—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—41no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—41no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—416no—
1303C22×C4C2×#4118yes—
1304C22×C4C2×#4114yes—
1305C22×C4H(5,𝔽2)14yes—
1306C22×C42−1+414yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2514yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2514yes—
1328C22×C4C2512yes—
1329C22×C4C2514yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—28no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—28no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
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—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—22no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—24no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C42−1+414yes—
1467C42—22no—
1468C42—24no—
1469C42—22no—
1470C42—24no—
1471C42—24no—
1472C42—22no—
1473C42—22no—
1474C42—24no—
1475C42—24no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—42no—
1484C42—42no—
1485C42—44no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—22no—
1498C23—21no—
1499C23—22no—
1500C23—21no—
1501C23—22no—
1502C23—21no—
1503C23—22no—
1504C23—21no—
1505C23—21no—
1506C23—22no—
1507C23—22no—
1508C23—21no—
1509C23—22no—
1510C23—21no—
1511C23—22no—
1512C23—22no—
1513C23—21no—
1514C23—21no—
1515C23—22no—
1516C23—22no—
1517C23—21no—
1518C23—22no—
1519C23—21no—
1520C23—22no—
1521C23—21no—
1522C23—44no—
1523C23—44no—
1524C23—44no—
1525C23—44no—
1526C23—82no—
1527C23—82no—
1528C23—82no—
1529C23C22×#4114yes—
1530C23C22×#4112yes—
1531C23C2×H(5,𝔽2)12yes—
1532C23C2×2−1+412yes—
1533C23C2×2−1+412yes—
1534C23C2611yescharacteristic
1535Q8—28no—
1536Q8—44no—
1537Q8—164no—
1538D4—216no—
1539D4—28no—
1540D4—48no—
1541D4—48no—
1542D4—44no—
1543D4—88no—
1544D4—84no—
1545D4—84no—
1546D4—84no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—216no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—44no—
1629C2×C4—48no—
1630C2×C4—44no—
1631C2×C4—48no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—44no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—48no—
1639C2×C4—84no—
1640C2×C4—84no—
1641C2×C4—84no—
1642C2×C4—84no—
1643C2×C4—82no—
1644C2×C4—84no—
1645C2×C4—84no—
1646C2×C4—164no—
1647C2×C4—164no—
1648C2×C4—164no—
1649C2×C4#539116yes—
1650C2×C4C22×#4114yes—
1651C2×C4C22×#4112yes—
1652C2×C4C22×#4112yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4C2×H(5,𝔽2)12yes—
1655C2×C4C2×2−1+412yes—
1656C2×C4C2×2−1+412yes—
1657C2×C4C2×2−1+412yes—
1658C2×C4C2×2−1+412yes—
1659C2×C4#58512yes—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—24no—
1667C22—22no—
1668C22—24no—
1669C22—22no—
1670C22—24no—
1671C22—22no—
1672C22—41no—
1673C22—42no—
1674C22—41no—
1675C22—42no—
1676C22—41no—
1677C22—42no—
1678C22—41no—
1679C22—42no—
1680C22—42no—
1681C22—41no—
1682C22—42no—
1683C22—41no—
1684C22—42no—
1685C22—41no—
1686C22—42no—
1687C22—41no—
1688C22—41no—
1689C22—42no—
1690C22—42no—
1691C22—41no—
1692C22—42no—
1693C22—41no—
1694C22—88no—
1695C22C2×#53914yes—
1696C22C23×#4111yescharacteristic
1697C22C22×H(5,𝔽2)11yescharacteristic
1698C22C22×2−1+411yescharacteristic
1699C22C22×2−1+411yescharacteristic
1700C22C2×#58511yescharacteristic
1701C22H(7,𝔽2)11yescharacteristic
1702C22H(7,𝔽2)11yescharacteristic
1703C4—22no—
1704C4—22no—
1705C4—24no—
1706C4—22no—
1707C4—41no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4—44no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—44no—
1720C4—44no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—41no—
1725C4—41no—
1726C4—42no—
1727C4—41no—
1728C4—41no—
1729C4—44no—
1730C4—41no—
1731C4C2×#53914yes—
1732C4C2×#53914yes—
1733C2—24no—
1734C2—44no—
1735C2—42no—
1736C2—82no—
1737C2—81no—
1738C2C22×#53911yescharacteristic
1739C2#6283511yescharacteristic
1740C2#6288011yescharacteristic
1741C2#6292911yescharacteristic
1742C2#6294511yescharacteristic
1743C2#6300011yescharacteristic
1744C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35518C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42948C2semidirect
2. #42925C2semidirect
3. #42870C2semidirect
4. #42836C2semidirect
5. #42656C2semidirect
6. #42601C2semidirect
7. #42577C2semidirect
8. #42453C2semidirect
9. #40890C2semidirect
10. #40791C2semidirect
11. #40168C2semidirect
12. #40052C2semidirect
13. #39939C2semidirect
14. #39938C2semidirect
15. #39732C2semidirect
16. #39658C2semidirect
17. #39604C2semidirect
18. #39239C2semidirect
19. #38576C2semidirect
20. #38536C2semidirect
21. #35585C2semidirect
22. #35575C2semidirect
23. #35545C2semidirect
24. #35532C2semidirect
26. #35516C2semidirect
27. #35255C2semidirect
28. #35253C2semidirect
29. #35181C2semidirect
30. #34810C2semidirect
31. C2×#2497C2semidirect
32. #34742C2semidirect
33. #34274C2semidirect
34. #34202C2semidirect
35. #34183C2semidirect
46. #2855C22semidirect
47. #2854C22semidirect
50. #2839C22semidirect
53. #2827C22semidirect
54. #2810C22semidirect
55. #2802C22semidirect
57. #2796C22semidirect
59. #2793C22semidirect
60. #2792C22semidirect
61. #2791C22semidirect
63. #2790C22semidirect
66. #2773C22semidirect
67. #2770C22semidirect
69. #2747C22semidirect
71. #2745C22semidirect
72. #2743C22semidirect
73. #2739C22semidirect
76. #2728C22semidirect
82. #2694C22semidirect
84. #2689C22semidirect
88. #2655C22semidirect
89. #2654C22semidirect
90. #2654C22semidirect
91. #2652C22semidirect
95. #2638C22semidirect
99. #2627C22semidirect
100. #2625C22semidirect
101. #2624C22semidirect
104. #2588C22semidirect
105. #2575C22semidirect
107. #2571C22semidirect
108. #2571C22semidirect
109. #2570C22semidirect
110. #2570C22semidirect
111. #2570C22semidirect
112. #2570C22semidirect
114. #2567C22semidirect
115. #2566C22semidirect
116. #2565C22semidirect
119. #2556C22semidirect
120. #2552C22semidirect
121. #2552C22semidirect
122. #2542C22semidirect
127. #2517C22semidirect
128. #2514C22semidirect
129. #2513C22semidirect
130. #2512C22semidirect
131. #2511C22semidirect
133. #2509C22semidirect
134. #2509C22semidirect
135. #2508C22semidirect
136. #2508C22semidirect
137. #2507C22semidirect
138. #2507C22semidirect
139. #2506C22semidirect
140. #2506C22semidirect
159. #2497C22semidirect
160. #2496C22semidirect
161. #2495C22semidirect
162. #2494C22semidirect
168. #2481C22semidirect
169. #2473C22semidirect
171. #2454C22semidirect
172. #2453C22semidirect
173. #2452C22semidirect
174. #2451C22semidirect
183. #2442C22semidirect
185. #2441C22semidirect
186. #2441C22semidirect
187. #2441C22semidirect
189. #2440C22semidirect
190. #2440C22semidirect
191. #2440C22semidirect
193. #2439C22semidirect
201. #2423C22semidirect
205. #2422C22semidirect
209. #2421C22semidirect
213. #2420C22semidirect
233. #2363C22semidirect
234. #2363C22semidirect
235. #2362C22semidirect
236. #2362C22semidirect
237. #2361C22semidirect
238. #2361C22semidirect
239. #2360C22semidirect
240. #2360C22semidirect
246. Q8×C4⋊C4C22semidirect
247. Q8×C4⋊C4C22semidirect
251. D4×C4⋊C4C22semidirect
252. D4×C4⋊C4C22semidirect
253. #2336C22semidirect
259. #2322C22semidirect
265. #2317C22semidirect
266. #2317C22semidirect
290. #2285C22semidirect
292. C2×#384C22semidirect

Maximal subgroups

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

subgroupindex
#429482
#429252
#428702
#428362
#426562
#426012
#425772
#424532
#408902
#407912
#401682
#400522
#399392
#399382
#397322
#396582
#396042
#392392
#385762
#385362
#355852
#355752
#355452
#355322
#355182
#355162
#352552
#352532
#351812
#348102
C2×#24972
#347422
#342742
#342022
#341832