Finite Group Databasebeta

← #7652057

Subgroups — #7652057

Order 512.

4985 conjugacy classes of subgroups.

The subgroup lattice has 1794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42956C212yesmaximal, complemented
2#42934C212yesmaximal, complemented
3#42859C212yesmaximal, complemented
4#42827C212yesmaximal, complemented
5#42615C212yesmaximal, complemented
6#42548C212yesmaximal, complemented
7#42507C212yesmaximal, complemented
8#42502C212yesmaximal, complemented
9#41554C214yesmaximal, complemented
10#40844C214yesmaximal, complemented
11#40144C212yesmaximal, complemented
12#40052C212yesmaximal, complemented
13#40010C212yesmaximal, complemented
14#40004C212yesmaximal, complemented
15#39658C212yesmaximal, complemented
16#39631C212yesmaximal, complemented
17#39214C212yesmaximal, complemented
18#39190C212yesmaximal, complemented
19#38541C214yesmaximal, complemented
20#38508C214yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35544C211yesmaximal, characteristic, complemented
23#35544C211yesmaximal, characteristic, complemented
24#35543C211yesmaximal, characteristic, complemented
25#35516C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35257C211yesmaximal, characteristic, complemented
28#35253C211yesmaximal, characteristic, complemented
29#35224C211yesmaximal, characteristic, complemented
30#34935C211yesmaximal, characteristic
31#34809C211yesmaximal, characteristic, complemented
32C2×#2487C211yesmaximal, characteristic, complemented
33#34250C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic, complemented
35#34200C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#525C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C2×#520C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×#117C2211yescharacteristic
44C23×C4⋊C4C2211yescharacteristic
45#2857C2212yescomplemented
46#2857C2212yescomplemented
47#2851C2212yescomplemented
48#2851C2212yescomplemented
49#2848C2214yes—
50#2839C2214yescomplemented
51#2838C2214yescomplemented
52#2835C2214yescomplemented
53#2827C2214yescomplemented
54#2807C2214yescomplemented
55#2807C2214yescomplemented
56#2805C2214yescomplemented
57#2802C2214yescomplemented
58#2796C2214yes—
59#2790C2214yescomplemented
60#2787C2214yescomplemented
61#2782C2214yes—
62#2782C2214yescomplemented
63#2781C2214yes—
64#2777C2214yescomplemented
65#2770C2214yescomplemented
66#2769C2214yescomplemented
67#2767C2214yescomplemented
68#2747C2214yescomplemented
69#2746C2214yescomplemented
70#2746C2214yescomplemented
71#2745C2214yescomplemented
72#2744C2214yescomplemented
73#2743C2214yescomplemented
74#2732C2214yes—
75#2728C2214yescomplemented
76#2723C2214yescomplemented
77#2721C2214yescomplemented
78#2720C2214yescomplemented
79#2720C2214yescomplemented
80#2708C2214yes—
81#2696C2214yes—
82#2695C2214yescomplemented
83#2694C2214yescomplemented
84#2693C2214yes—
85#2691C2214yes—
86#2667C2214yescomplemented
87#2655C2214yescomplemented
88#2655C2214yescomplemented
89#2654C2214yescomplemented
90#2652C2214yescomplemented
91#2652C2214yescomplemented
92#2649C2214yes—
93#2646C2214yescomplemented
94#2636C2214yes—
95#2633C2214yescomplemented
96#2633C2214yescomplemented
97#2629C2212yescomplemented
98#2629C2212yescomplemented
99#2628C2212yescomplemented
100#2628C2212yescomplemented
101#2627C2214yes—
102#2623C2214yescomplemented
103#2588C2214yescomplemented
104#2577C2214yescomplemented
105#2575C2214yescomplemented
106#2571C2212yescomplemented
107#2570C2212yescomplemented
108#2570C2212yescomplemented
109#2569C2214yes—
110#2560C2214yes—
111#2556C2214yescomplemented
112#2553C2214yes—
113#2552C2212yescomplemented
114#2538C2211yescharacteristic
115#2538C2211yescharacteristic
116#2537C2211yescharacteristic
117#2537C2211yescharacteristic
118#2536C2211yescharacteristic
119#2536C2211yescharacteristic
120#2535C2211yescharacteristic
121#2535C2211yescharacteristic
122#2534C2212yes—
123#2534C2212yes—
124#2509C2212yescomplemented
125#2509C2212yescomplemented
126#2509C2212yescomplemented
127#2508C2212yescomplemented
128#2508C2212yescomplemented
129#2508C2212yescomplemented
130#2507C2212yescomplemented
131#2507C2212yescomplemented
132#2507C2212yescomplemented
133#2506C2212yescomplemented
134#2506C2212yescomplemented
135#2506C2212yescomplemented
136#2505C2214yes—
137#2497C2212yescomplemented
138#2497C2212yescomplemented
139#2497C2212yescomplemented
140#2497C2212yescomplemented
141#2496C2212yescomplemented
142#2496C2212yescomplemented
143#2496C2212yescomplemented
144#2496C2212yescomplemented
145#2495C2212yescomplemented
146#2495C2212yescomplemented
147#2495C2212yescomplemented
148#2495C2212yescomplemented
149#2494C2212yescomplemented
150#2494C2212yescomplemented
151#2494C2212yescomplemented
152#2494C2212yescomplemented
153#2493C2214yes—
154#2493C2214yes—
155#2493C2214yescomplemented
156#2487C2211yescharacteristic
157#2487C2212yes—
158#2487C2212yes—
159#2487C2212yes—
160#2487C2212yes—
161#2487C2212yes—
162#2487C2212yes—
163#2487C2212yes—
164#2487C2212yes—
165#2487C2211yescharacteristic
166#2487C2212yescomplemented
167#2487C2212yescomplemented
168#2486C2211yescharacteristic
169#2486C2212yes—
170#2486C2211yescharacteristic
171#2486C2212yescomplemented
172#2486C2212yescomplemented
173#2485C2211yescharacteristic
174#2485C2211yescharacteristic
175#2485C2211yescharacteristic
176#2485C2211yescharacteristic
177#2485C2212yescomplemented
178#2485C2212yescomplemented
179#2485C2212yescomplemented
180#2485C2212yescomplemented
181#2484C2212yes—
182#2483C2212yes—
183#2482C2212yes—
184#2480C2214yes—
185#2480C2214yes—
186#2473C2214yes—
187#2463C2214yes—
188#2460C2214yescomplemented
189#2454C2212yescomplemented
190#2453C2212yescomplemented
191#2452C2212yescomplemented
192#2451C2212yescomplemented
193#2450C2214yes—
194#2449C2214yes—
195#2449C2214yescomplemented
196#2449C2214yescomplemented
197#2442C2214yes—
198#2442C2212yescomplemented
199#2442C2212yescomplemented
200#2442C2212yescomplemented
201#2442C2212yescomplemented
202#2442C2212yescomplemented
203#2441C2212yescomplemented
204#2440C2212yescomplemented
205#2440C2212yescomplemented
206#2440C2212yescomplemented
207#2440C2212yescomplemented
208#2440C2212yescomplemented
209#2439C2212yescomplemented
210#2438C2214yes—
211#2437C2214yes—
212#2425C2214yes—
213#2423C2212yescomplemented
214#2423C2212yescomplemented
215#2422C2212yescomplemented
216#2422C2212yescomplemented
217#2421C2212yescomplemented
218#2421C2212yescomplemented
219#2420C2212yescomplemented
220#2420C2212yescomplemented
221#2419C2214yes—
222#2419C2214yes—
223#2418C2214yes—
224#2418C2214yes—
225#2408C2212yes—
226#2405C2212yes—
227#2395C2212yes—
228#2395C2212yes—
229C2×#400C2212yes—
230C2×#399C2212yes—
231#2392C2212yes—
232#2392C2212yes—
233#2361C2212yescomplemented
234#2361C2212yescomplemented
235#2360C2212yescomplemented
236#2360C2212yescomplemented
237#2359C2214yes—
238#2358C2214yes—
239#2354C2212yescomplemented
240#2352C2212yescomplemented
241#2352C2212yescomplemented
242#2352C2212yescomplemented
243#2352C2212yescomplemented
244#2351C2212yescomplemented
245Q8×C4⋊C4C2212yescomplemented
246#2349C2214yes—
247#2349C2212yescomplemented
248D4×C4⋊C4C2214yes—
249D4×C4⋊C4C2212yescomplemented
250D4×C4⋊C4C2212yescomplemented
251D4×C4⋊C4C2212yescomplemented
252D4×C4⋊C4C2212yescomplemented
253#2335C2214yes—
254#2334C2214yescomplemented
255#2325C2214yes—
256#2324C2212yescomplemented
257#2323C2212yescomplemented
258#2322C2214yes—
259#2322C2214yescomplemented
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2212yescomplemented
267#2316C2211yescharacteristic
268#2316C2211yescharacteristic
269#2316C2211yescharacteristic
270#2316C2212yescomplemented
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273C4×C22⋊Q8C2212yescomplemented
274C4×#123C2212yes—
275C4×#123C2212yes—
276C4×#121C2212yes—
277C4×#121C2212yes—
278C4×#121C2212yescomplemented
279C4×#120C2214yes—
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2212yescomplemented
283C2×#389C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#389C2212yescomplemented
286C2×#386C2212yes—
287C2×#385C2212yes—
288#2285C2211yescharacteristic
289#2280C2211yescharacteristic
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2211yescharacteristic
293#2280C2211yescharacteristic
294C2×#380C2211yescharacteristic
295C2×#380C2211yescharacteristic
296C2×#380C2211yescharacteristic
297#2274C2211yescharacteristic
298#2274C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303C24×C4C2312yes—
304#544—44no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#125C2314yes—
313#525—28no—
314#525—28no—
315C2×#123C2312yes—
316C2×#123C2312yes—
317C2×#123C2312yes—
318C2×#123C2314yes—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×#121C2311yescharacteristic
331C2×#121C2312yes—
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×#120C2312yes—
337C2×#120C2312yes—
338#520—28no—
339#520—44no—
340C4×#41—44no—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×D4—44no—
346C2×C4×D4C2314yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×#117—44no—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C22×C4⋊C4—44no—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2314yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2311yescharacteristic
404C22×C22⋊C4C2311yescharacteristic
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C42C2311yescharacteristic
409C22×C42C2312yes—
410C22×C42C2312yes—
411#401C2314yes—
412#401C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2312yes—
437#400C2314yes—
438#400C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2312yes—
445#399C2314yes—
446#399C2314yes—
447#399C2312yes—
448#399C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2312yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2312yes—
469#398C2312yes—
470#398C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2312yes—
477#397C2314yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2312yes—
485#397C2314yes—
486#397C2312yes—
487#397C2312yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2312yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2312yes—
498#396C2312yes—
499#396C2312yes—
500#396C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2314yes—
505#394C2312yes—
506#394C2312yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2312yes—
518#394C2312yes—
519#393C2314yes—
520#393C2314yes—
521#392C2312yes—
522#392C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
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#389C2311yescharacteristic
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2314yes—
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2314yes—
655#386C2312yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2314yes—
703#384C2311yescharacteristic
704#383C2314yes—
705#383C2314yes—
706#382C2312yes—
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2311yescharacteristic
710#382C2314yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2314yes—
717#381C2312yes—
718#381C2312yes—
719#381C2314yes—
720#381C2314yes—
721#381C2312yes—
722#381C2312yes—
723#381C2312yes—
724#381C2312yes—
725#381C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2312yes—
775#379C2312yes—
776#379C2312yes—
777#379C2312yes—
778#379C2312yes—
779#379C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C25C2411yescharacteristic
820C25C2411yescharacteristic
821C2×#41—24no—
822C2×#41—24no—
823C2×#41#4118yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×D4—24no—
827C22×D4—42no—
828C22×D4—42no—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C23×C4—24no—
840C23×C4—24no—
841C23×C4—24no—
842C23×C4—24no—
843C23×C4—24no—
844C23×C4—24no—
845C23×C4—44no—
846C23×C4—82no—
847C23×C4—82no—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2412yes—
868C23×C4C2412yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2411yescharacteristic
874C4⋊Q8—44no—
875C4⋊Q8—44no—
876#126—48no—
877#126—84no—
878#125—44no—
879#125—44no—
880#125—84no—
881#125—84no—
882#123—28no—
883#123—28no—
884#123—28no—
885#123—48no—
886#123—44no—
887#123—84no—
888C22⋊Q8—24no—
889C22⋊Q8—24no—
890C22⋊Q8—24no—
891C22⋊Q8—24no—
892C22⋊Q8—48no—
893C22⋊Q8—84no—
894C22⋊Q8—84no—
895C22⋊Q8—84no—
896C22⋊Q8—84no—
897#121—24no—
898#121—24no—
899#121—24no—
900#121—24no—
901#121—28no—
902#121—44no—
903#120—28no—
904#120—28no—
905C4×Q8—28no—
906C4×Q8—42no—
907C4×Q8—42no—
908C4×Q8—44no—
909C4×D4—216no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—42no—
916C4×D4—42no—
917C4×D4—44no—
918C4×D4—42no—
919C4×D4—42no—
920C4×D4—42no—
921C4×D4—42no—
922C4×D4—42no—
923C4×D4—42no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929C4×D4—84no—
930C4×D4—84no—
931C4×D4—84no—
932#117—28no—
933#117—24no—
934#117—24no—
935#117—24no—
936#117—24no—
937#117—24no—
938#117—24no—
939#117—24no—
940#117—44no—
941#117—44no—
942#117—44no—
943#117—42no—
944#117—42no—
945#117—44no—
946C2×C4⋊C4—28no—
947C2×C4⋊C4—24no—
948C2×C4⋊C4—24no—
949C2×C4⋊C4—24no—
950C2×C4⋊C4—24no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4—44no—
955C2×C4⋊C4—42no—
956C2×C4⋊C4—42no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—44no—
959C2×C4⋊C4—42no—
960C2×C4⋊C4—84no—
961C2×C4⋊C4—82no—
962C2×C4⋊C4—82no—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C22⋊C4—44no—
1039C2×C22⋊C4—44no—
1040C2×C22⋊C4—42no—
1041C2×C22⋊C4—42no—
1042C2×C22⋊C4—82no—
1043C2×C22⋊C4—82no—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C42—24no—
1104C2×C42—44no—
1105C2×C42—44no—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195C24—22no—
1196C24—22no—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—22no—
1202C24—22no—
1203C24—22no—
1204C24—41no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24C2511yescharacteristic
1210C24C2512yes—
1211C24C2511yescharacteristic
1212C24C2511yescharacteristic
1213C24C2511yescharacteristic
1214C24C2511yescharacteristic
1215#41—232no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—44no—
1219C2×Q8—44no—
1220C2×Q8—44no—
1221C2×Q8C2×#4114yes—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—416no—
1250C2×D4C2×#4118yes—
1251C2×D4C2×#4114yes—
1252C2×D42−1+414yes—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—28no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—41no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—42no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—44no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—42no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—416no—
1328C22×C4—416no—
1329C22×C4—816no—
1330C22×C4C2×#4118yes—
1331C22×C4C2×#4114yes—
1332C22×C4H(5,𝔽2)14yes—
1333C22×C42−1+414yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2514yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2514yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2514yes—
1353C22×C4C2514yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—28no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—41no—
1398C4⋊C4—41no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C22⋊C4—28no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C42—24no—
1498C42—24no—
1499C42—28no—
1500C42—24no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—24no—
1506C42—24no—
1507C42—24no—
1508C42—24no—
1509C42—42no—
1510C42—42no—
1511C42—42no—
1512C42—42no—
1513C42—44no—
1514C42—44no—
1515C42—44no—
1516C42—44no—
1517C42—44no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—28no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—22no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—22no—
1534C23—22no—
1535C23—21no—
1536C23—21no—
1537C23—22no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—22no—
1543C23—21no—
1544C23—22no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—44no—
1560C23—44no—
1561C23—44no—
1562C23—44no—
1563C23—44no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23C22×#4114yes—
1568C23C22×#4112yes—
1569C23C2×H(5,𝔽2)12yes—
1570C23C2×2−1+412yes—
1571C23C2×2−1+412yes—
1572C23C2×2−1+412yes—
1573C23#58512yes—
1574C23C2611yescharacteristic
1575Q8—28no—
1576Q8—164no—
1577D4—216no—
1578D4—28no—
1579D4—44no—
1580D4—44no—
1581D4—48no—
1582D4—48no—
1583D4—48no—
1584D4—44no—
1585D4—44no—
1586D4—84no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—216no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—24no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—84no—
1679C2×C4—84no—
1680C2×C4—88no—
1681C2×C4—84no—
1682C2×C4—82no—
1683C2×C4—84no—
1684C2×C4—84no—
1685C2×C4—84no—
1686C2×C4—84no—
1687C2×C4—84no—
1688C2×C4—88no—
1689C2×C4—88no—
1690C2×C4—164no—
1691C2×C4#539116yes—
1692C2×C4C22×#4114yes—
1693C2×C4C22×#4112yes—
1694C2×C4C22×#4112yes—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4C2×H(5,𝔽2)12yes—
1697C2×C4C2×2−1+412yes—
1698C2×C4C2×2−1+412yes—
1699C2×C4C2×2−1+412yes—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—24no—
1709C22—24no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—24no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—416no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—42no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—42no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—42no—
1731C22—41no—
1732C22—42no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—88no—
1743C22C2×#53914yes—
1744C22C23×#4111yescharacteristic
1745C22C22×H(5,𝔽2)11yescharacteristic
1746C22C22×2−1+411yescharacteristic
1747C22C22×2−1+411yescharacteristic
1748C22C2×#58511yescharacteristic
1749C22H(7,𝔽2)11yescharacteristic
1750C22H(7,𝔽2)11yescharacteristic
1751C4—22no—
1752C4—24no—
1753C4—42no—
1754C4—42no—
1755C4—42no—
1756C4—44no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—41no—
1761C4—42no—
1762C4—42no—
1763C4—42no—
1764C4—41no—
1765C4—41no—
1766C4—44no—
1767C4—44no—
1768C4—42no—
1769C4—42no—
1770C4—42no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—42no—
1776C4—42no—
1777C4—44no—
1778C4C2×#53914yes—
1779C4C2×#53914yes—
1780C2—24no—
1781C2—44no—
1782C2—42no—
1783C2—42no—
1784C2—42no—
1785C2—81no—
1786C2C22×#53911yescharacteristic
1787C2#6281911yescharacteristic
1788C2#6287411yescharacteristic
1789C2#6294511yescharacteristic
1790C2#6295811yescharacteristic
1791C2#6300011yescharacteristic
1792C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34935C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42956C2semidirect
2. #42934C2semidirect
3. #42859C2semidirect
4. #42827C2semidirect
5. #42615C2semidirect
6. #42548C2semidirect
7. #42507C2semidirect
8. #42502C2semidirect
9. #41554C2semidirect
10. #40844C2semidirect
11. #40144C2semidirect
12. #40052C2semidirect
13. #40010C2semidirect
14. #40004C2semidirect
15. #39658C2semidirect
16. #39631C2semidirect
17. #39214C2semidirect
18. #39190C2semidirect
19. #38541C2semidirect
20. #38508C2semidirect
21. #35585C2semidirect
22. #35544C2semidirect
23. #35544C2semidirect
24. #35543C2semidirect
25. #35516C2semidirect
26. #35516C2semidirect
27. #35257C2semidirect
28. #35253C2semidirect
29. #35224C2semidirect
31. #34809C2semidirect
32. C2×#2487C2semidirect
33. #34250C2semidirect
34. #34202C2semidirect
35. #34200C2semidirect
45. #2857C22semidirect
46. #2857C22semidirect
47. #2851C22semidirect
48. #2851C22semidirect
50. #2839C22semidirect
51. #2838C22semidirect
52. #2835C22semidirect
53. #2827C22semidirect
54. #2807C22semidirect
55. #2807C22semidirect
56. #2805C22semidirect
57. #2802C22semidirect
59. #2790C22semidirect
60. #2787C22semidirect
62. #2782C22semidirect
64. #2777C22semidirect
65. #2770C22semidirect
66. #2769C22semidirect
67. #2767C22semidirect
68. #2747C22semidirect
69. #2746C22semidirect
70. #2746C22semidirect
71. #2745C22semidirect
72. #2744C22semidirect
73. #2743C22semidirect
75. #2728C22semidirect
76. #2723C22semidirect
77. #2721C22semidirect
78. #2720C22semidirect
79. #2720C22semidirect
82. #2695C22semidirect
83. #2694C22semidirect
86. #2667C22semidirect
87. #2655C22semidirect
88. #2655C22semidirect
89. #2654C22semidirect
90. #2652C22semidirect
91. #2652C22semidirect
93. #2646C22semidirect
95. #2633C22semidirect
96. #2633C22semidirect
97. #2629C22semidirect
98. #2629C22semidirect
99. #2628C22semidirect
100. #2628C22semidirect
102. #2623C22semidirect
103. #2588C22semidirect
104. #2577C22semidirect
105. #2575C22semidirect
106. #2571C22semidirect
107. #2570C22semidirect
108. #2570C22semidirect
111. #2556C22semidirect
113. #2552C22semidirect
124. #2509C22semidirect
125. #2509C22semidirect
126. #2509C22semidirect
127. #2508C22semidirect
128. #2508C22semidirect
129. #2508C22semidirect
130. #2507C22semidirect
131. #2507C22semidirect
132. #2507C22semidirect
133. #2506C22semidirect
134. #2506C22semidirect
135. #2506C22semidirect
137. #2497C22semidirect
138. #2497C22semidirect
139. #2497C22semidirect
140. #2497C22semidirect
141. #2496C22semidirect
142. #2496C22semidirect
143. #2496C22semidirect
144. #2496C22semidirect
145. #2495C22semidirect
146. #2495C22semidirect
147. #2495C22semidirect
148. #2495C22semidirect
149. #2494C22semidirect
150. #2494C22semidirect
151. #2494C22semidirect
152. #2494C22semidirect
155. #2493C22semidirect
166. #2487C22semidirect
167. #2487C22semidirect
171. #2486C22semidirect
172. #2486C22semidirect
177. #2485C22semidirect
178. #2485C22semidirect
179. #2485C22semidirect
180. #2485C22semidirect
188. #2460C22semidirect
189. #2454C22semidirect
190. #2453C22semidirect
191. #2452C22semidirect
192. #2451C22semidirect
195. #2449C22semidirect
196. #2449C22semidirect
198. #2442C22semidirect
199. #2442C22semidirect
200. #2442C22semidirect
201. #2442C22semidirect
202. #2442C22semidirect
203. #2441C22semidirect
204. #2440C22semidirect
205. #2440C22semidirect
206. #2440C22semidirect
207. #2440C22semidirect
208. #2440C22semidirect
209. #2439C22semidirect
213. #2423C22semidirect
214. #2423C22semidirect
215. #2422C22semidirect
216. #2422C22semidirect
217. #2421C22semidirect
218. #2421C22semidirect
219. #2420C22semidirect
220. #2420C22semidirect
233. #2361C22semidirect
234. #2361C22semidirect
235. #2360C22semidirect
236. #2360C22semidirect
239. #2354C22semidirect
240. #2352C22semidirect
241. #2352C22semidirect
242. #2352C22semidirect
243. #2352C22semidirect
244. #2351C22semidirect
245. Q8×C4⋊C4C22semidirect
247. #2349C22semidirect
249. D4×C4⋊C4C22semidirect
250. D4×C4⋊C4C22semidirect
251. D4×C4⋊C4C22semidirect
252. D4×C4⋊C4C22semidirect
254. #2334C22semidirect
256. #2324C22semidirect
257. #2323C22semidirect
259. #2322C22semidirect
266. #2317C22semidirect
270. #2316C22semidirect
273. C4×C22⋊Q8C22semidirect
278. C4×#121C22semidirect
282. #2296C22semidirect
285. C2×#389C22semidirect

Maximal subgroups

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

subgroupindex
#429562
#429342
#428592
#428272
#426152
#425482
#425072
#425022
#415542
#408442
#401442
#400522
#400102
#400042
#396582
#396312
#392142
#391902
#385412
#385082
#355852
#355442
#355432
#355162
#352572
#352532
#352242
#349352
#348092
C2×#24872
#342502
#342022
#342002