Finite Group Databasebeta

← #7630889

Subgroups — #7630889

Order 512.

5254 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36073C212yesmaximal, complemented
2#36000C212yesmaximal, complemented
3#35989C212yesmaximal, complemented
4#35988C214yesmaximal, complemented
5#35978C212yesmaximal, complemented
6#35977C214yesmaximal, complemented
7#35800C212yesmaximal, complemented
8#35798C212yesmaximal, complemented
9#35725C212yesmaximal, complemented
10#35722C212yesmaximal, complemented
11#35717C214yesmaximal, complemented
12#35716C214yesmaximal, complemented
13#35340C212yesmaximal, complemented
14#35299C212yesmaximal, complemented
15#35295C212yesmaximal, complemented
16#35288C212yesmaximal, complemented
17#35269C212yesmaximal, complemented
18#35268C212yesmaximal, complemented
19#35267C211yesmaximal, characteristic, complemented
20#35266C211yesmaximal, characteristic, complemented
21#35265C211yesmaximal, characteristic, complemented
22#35264C211yesmaximal, characteristic, complemented
23#35253C211yesmaximal, characteristic, complemented
24#35252C211yesmaximal, characteristic
25#34635C211yesmaximal, characteristic, complemented
26#34621C212yesmaximal, complemented
27#34619C212yesmaximal, complemented
28C2×#2624C211yesmaximal, characteristic, complemented
29#34275C211yesmaximal, characteristic, complemented
30#34272C211yesmaximal, characteristic, complemented
31#34255C211yesmaximal, characteristic, complemented
32#34253C211yesmaximal, characteristic, complemented
33#34204C211yesmaximal, characteristic, complemented
34#34202C211yesmaximal, characteristic, complemented
35#33996C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#518C2211yescharacteristic
42C22×#117C2211yescharacteristic
43C22×#117C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2864C2212yescomplemented
46#2863C2212yescomplemented
47#2861C2212yescomplemented
48#2860C2212yescomplemented
49#2860C2212yescomplemented
50#2860C2212yescomplemented
51#2859C2212yescomplemented
52#2858C2212yescomplemented
53#2857C2212yescomplemented
54#2856C2212yes—
55#2851C2212yescomplemented
56#2850C2212yes—
57#2654C2214yescomplemented
58#2653C2214yescomplemented
59#2651C2214yescomplemented
60#2651C2214yescomplemented
61#2650C2214yescomplemented
62#2649C2214yescomplemented
63#2648C2214yescomplemented
64#2648C2214yescomplemented
65#2647C2212yescomplemented
66#2647C2212yescomplemented
67#2645C2212yescomplemented
68#2644C2212yescomplemented
69#2644C2212yescomplemented
70#2644C2212yescomplemented
71#2641C2212yescomplemented
72#2640C2212yescomplemented
73#2629C2212yescomplemented
74#2628C2212yescomplemented
75#2625C2211yescharacteristic, complemented
76#2625C2211yescharacteristic, complemented
77#2625C2211yescharacteristic, complemented
78#2625C2211yescharacteristic, complemented
79#2624C2212yes—
80#2624C2212yes—
81#2624C2212yes—
82#2624C2212yes—
83#2624C2212yes—
84#2624C2212yes—
85#2624C2212yes—
86#2624C2212yes—
87#2624C2211yescharacteristic, complemented
88#2624C2211yescharacteristic, complemented
89#2624C2211yescharacteristic, complemented
90#2624C2211yescharacteristic, complemented
91#2623C2212yes—
92#2623C2212yes—
93#2622C2212yes—
94#2622C2212yes—
95#2620C2212yes—
96#2619C2212yes—
97#2597C2214yescomplemented
98#2597C2214yescomplemented
99#2597C2214yescomplemented
100#2596C2214yescomplemented
101#2596C2214yescomplemented
102#2595C2214yescomplemented
103#2594C2214yescomplemented
104#2589C2214yescomplemented
105#2578C2214yescomplemented
106#2578C2214yescomplemented
107#2577C2214yescomplemented
108#2576C2214yescomplemented
109#2575C2214yescomplemented
110#2560C2214yescomplemented
111#2559C2214yescomplemented
112#2559C2214yescomplemented
113#2532C2214yescomplemented
114#2531C2214yescomplemented
115#2525C2214yescomplemented
116#2522C2214yescomplemented
117#2521C2214yescomplemented
118#2521C2214yescomplemented
119#2519C2214yescomplemented
120#2518C2214yescomplemented
121#2518C2214yescomplemented
122#2516C2214yescomplemented
123#2516C2214yescomplemented
124#2515C2214yescomplemented
125#2513C2214yescomplemented
126#2513C2212yescomplemented
127#2513C2212yescomplemented
128#2512C2212yescomplemented
129#2512C2212yescomplemented
130#2510C2214yes—
131#2509C2212yescomplemented
132#2508C2212yescomplemented
133#2507C2212yescomplemented
134#2506C2212yescomplemented
135#2505C2214yes—
136#2497C2212yescomplemented
137#2496C2212yescomplemented
138#2495C2212yescomplemented
139#2494C2212yescomplemented
140#2491C2212yescomplemented
141#2491C2212yescomplemented
142#2490C2214yescomplemented
143#2490C2212yescomplemented
144#2490C2212yescomplemented
145#2481C2214yes—
146#2480C2214yes—
147#2480C2214yes—
148#2479C2214yescomplemented
149#2479C2214yescomplemented
150#2478C2214yescomplemented
151#2477C2214yescomplemented
152#2476C2214yescomplemented
153#2476C2214yescomplemented
154#2473C2214yes—
155#2472C2214yes—
156#2472C2214yes—
157#2467C2214yescomplemented
158#2467C2214yescomplemented
159#2466C2214yescomplemented
160#2460C2214yescomplemented
161#2459C2214yescomplemented
162#2459C2214yescomplemented
163#2454C2214yescomplemented
164#2448C2214yescomplemented
165#2447C2214yescomplemented
166#2442C2212yescomplemented
167#2441C2212yescomplemented
168#2440C2212yescomplemented
169#2439C2212yescomplemented
170#2438C2214yes—
171#2437C2214yes—
172#2427C2214yescomplemented
173#2426C2214yescomplemented
174#2420C2214yescomplemented
175#2416C2212yes—
176#2416C2212yes—
177#2414C2212yes—
178#2414C2212yes—
179#2411C2214yes—
180#2410C2214yes—
181#2401C2214yescomplemented
182#2398C2214yescomplemented
183#2396C2214yescomplemented
184#2395C2214yescomplemented
185#2395C2214yescomplemented
186#2395C2214yescomplemented
187#2395C2212yescomplemented
188#2395C2212yescomplemented
189#2395C2212yescomplemented
190#2395C2212yescomplemented
191C2×#399C2212yes—
192#2392C2214yescomplemented
193#2392C2214yescomplemented
194C2×#397C2212yes—
195C2×#394C2212yes—
196C2×#394C2212yes—
197#2370C2212yescomplemented
198#2370C2212yescomplemented
199#2369C2212yescomplemented
200#2368C2214yes—
201#2365C2212yescomplemented
202#2363C2212yes—
203#2363C2212yes—
204#2363C2212yescomplemented
205#2363C2212yescomplemented
206#2361C2212yes—
207#2361C2212yes—
208#2361C2212yescomplemented
209#2361C2212yescomplemented
210#2360C2214yes—
211#2359C2214yes—
212#2358C2214yes—
213#2358C2214yes—
214#2358C2214yes—
215#2357C2212yescomplemented
216#2357C2212yescomplemented
217#2354C2212yescomplemented
218#2354C2212yescomplemented
219#2354C2212yescomplemented
220#2353C2214yes—
221#2352C2214yes—
222#2352C2212yescomplemented
223#2352C2212yescomplemented
224D4×C4⋊C4C2212yescomplemented
225#2347C2212yescomplemented
226#2346C2212yescomplemented
227#2345C2212yescomplemented
228#2344C2212yescomplemented
229#2342C2214yes—
230#2342C2214yes—
231#2342C2214yes—
232D4×C22⋊C4C2214yes—
233#2331C2212yescomplemented
234#2330C2212yescomplemented
235#2328C2212yescomplemented
236#2326C2212yescomplemented
237#2324C2212yes—
238#2324C2212yes—
239#2324C2212yescomplemented
240#2323C2212yescomplemented
241#2320C2212yescomplemented
242#2319C2212yescomplemented
243#2319C2212yescomplemented
244#2319C2212yescomplemented
245#2317C2211yescharacteristic
246#2317C2211yescharacteristic
247#2317C2211yescharacteristic
248#2317C2211yescharacteristic
249#2316C2211yescharacteristic
250#2316C2211yescharacteristic
251#2311C2211yescharacteristic
252#2311C2211yescharacteristic
253#2309C2211yescharacteristic
254#2309C2211yescharacteristic
255C4×C4⋊Q8C2212yescomplemented
256C4×#127C2212yescomplemented
257C4×#125C2212yescomplemented
258C4×#124C2212yescomplemented
259C4×C22⋊Q8C2212yescomplemented
260C4×#121C2212yes—
261C4×#121C2212yes—
262C4×#121C2212yescomplemented
263#2297C2211yescharacteristic
264#2297C2211yescharacteristic
265#2296C2211yescharacteristic
266#2296C2211yescharacteristic
267#2295C2212yescomplemented
268#2293C2212yescomplemented
269#2293C2212yescomplemented
270#2293C2212yescomplemented
271C2×#390C2211yescharacteristic
272C2×#390C2211yescharacteristic
273C2×#389C2211yescharacteristic
274C2×#389C2211yescharacteristic
275#2280C2211yescharacteristic
276C2×#380C2211yescharacteristic
277#2274C2212yes—
278#2274C2212yes—
279#2274C2211yescharacteristic
280#2274C2211yescharacteristic
281#2274C2211yescharacteristic, complemented
282#2274C2211yescharacteristic, complemented
283#2274C2211yescharacteristic, complemented
284#2274C2211yescharacteristic, complemented
285#2274C2211yescharacteristic, complemented
286#2274C2211yescharacteristic, complemented
287#2274C2211yescharacteristic, complemented
288#2274C2211yescharacteristic, complemented
289#2273C2212yes—
290#2273C2212yes—
291C4×#117C2211yescharacteristic
292C4×#117C2211yescharacteristic
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2212yescomplemented
296C4×#117C2212yescomplemented
297C4×#117C2212yescomplemented
298C4×#117C2212yescomplemented
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C24×C4C2311yescharacteristic
303#544—28no—
304#535—28no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#127C2312yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#124C2312yes—
315C2×#124C2314yes—
316C2×#124C2314yes—
317#525—28no—
318C2×#123C2312yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2314yes—
323C2×#121—28no—
324C2×#121C2312yes—
325C2×#121C2311yescharacteristic
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2311yescharacteristic
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#120C2312yes—
335C2×#120C2314yes—
336#520—28no—
337#518—28no—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2314yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×#117—28no—
354C2×#117—28no—
355C2×#117—28no—
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2314yes—
379C2×#117C2314yes—
380C2×#117C2314yes—
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2312yes—
401C22×C22⋊C4C2312yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C42C2312yes—
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2312yes—
410#401C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2312yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2312yes—
426#399C2312yes—
427#399C2312yes—
428#399C2312yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2312yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#395C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#392C2314yes—
505#392C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2314yes—
513#391C2314yes—
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#390C2314yes—
517#390C2311yescharacteristic
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2314yes—
534#390C2314yes—
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2314yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2312yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#383C2314yes—
685#383C2314yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#382C2314yes—
692#381C2314yes—
693#381C2314yes—
694#381C2314yes—
695#381C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2314yes—
701#380C2314yes—
702#380C2314yes—
703#380C2314yes—
704#380C2314yes—
705#380C2314yes—
706#380C2312yes—
707#380C2311yescharacteristic
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#379C2314yes—
715#379C2314yes—
716#379C2312yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C22⋊C4C2312yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810#376C2312yes—
811#376C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2312yes—
817C43C2312yes—
818C43C2312yes—
819C25C2412yes—
820C25C2411yescharacteristic
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×D4—28no—
827C22×D4—24no—
828C22×D4—24no—
829C22×D4—24no—
830C22×D4—82no—
831C22×D4—82no—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C23×C4—24no—
843C23×C4—24no—
844C23×C4#4118yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2411yescharacteristic
866C4⋊Q8—28no—
867C4⋊Q8—28no—
868#127—28no—
869#126—84no—
870#126—84no—
871#126—84no—
872#125—28no—
873#125—28no—
874#125—84no—
875#124—28no—
876#124—84no—
877#124—84no—
878#123—28no—
879C22⋊Q8—24no—
880C22⋊Q8—24no—
881C22⋊Q8—216no—
882C22⋊Q8—84no—
883#121—28no—
884#121—28no—
885#121—28no—
886#121—28no—
887#121—24no—
888#121—24no—
889#121—28no—
890#121—28no—
891#121—84no—
892#121—84no—
893#120—28no—
894#120—216no—
895C4×Q8—28no—
896C4×Q8—84no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—216no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—84no—
906C4×D4—84no—
907C4×D4—84no—
908C4×D4—84no—
909C4×D4—84no—
910#117—24no—
911#117—24no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—24no—
917#117—24no—
918#117—24no—
919#117—24no—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—24no—
924#117—24no—
925#117—24no—
926#117—24no—
927#117—28no—
928#117—28no—
929#117—28no—
930#117—28no—
931#117—28no—
932#117—84no—
933#117—84no—
934#117—84no—
935#117#4118yes—
936#117#4118yes—
937C2×C4⋊C4—24no—
938C2×C4⋊C4—24no—
939C2×C4⋊C4—24no—
940C2×C4⋊C4—24no—
941C2×C4⋊C4—24no—
942C2×C4⋊C4—24no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—24no—
945C2×C4⋊C4—24no—
946C2×C4⋊C4—28no—
947C2×C4⋊C4—82no—
948C2×C4⋊C4—82no—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C22⋊C4—24no—
1012C2×C22⋊C4—24no—
1013C2×C22⋊C4—28no—
1014C2×C22⋊C4—28no—
1015C2×C22⋊C4—28no—
1016C2×C22⋊C4—216no—
1017C2×C22⋊C4—82no—
1018C2×C22⋊C4—82no—
1019C2×C22⋊C4—82no—
1020C2×C22⋊C4—82no—
1021C2×C22⋊C4—82no—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C42—24no—
1087C2×C42—24no—
1088C2×C42—28no—
1089C2×C42—28no—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192C24—22no—
1193C24—22no—
1194C24—24no—
1195C24—24no—
1196C24—24no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—42no—
1202C24—42no—
1203C24—42no—
1204C24—42no—
1205C24C2×#4114yes—
1206C24C2514yes—
1207C24C2512yes—
1208C24C2511yescharacteristic
1209C24C2511yescharacteristic
1210C24C2511yescharacteristic
1211#41—416no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—28no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—28no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—28no—
1235C2×D4—28no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—416no—
1249C2×D4—816no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—232no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
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—24no—
1274C22×C4—24no—
1275C22×C4—28no—
1276C22×C4—28no—
1277C22×C4—28no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4C2×#4114yes—
1307C22×C4C2×#4114yes—
1308C22×C4C2×#4114yes—
1309C22×C4C2×#4114yes—
1310C22×C4C2×#4114yes—
1311C22×C4C2×#4114yes—
1312C22×C4C2×#4114yes—
1313C22×C4C2×#4114yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2514yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2514yes—
1327C22×C4C2512yes—
1328C22×C4C2514yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2511yescharacteristic
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
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—22no—
1361C4⋊C4—28no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—28no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4C2×#4114yes—
1403C4⋊C4C2×#4114yes—
1404C4⋊C4C2×#4114yes—
1405C4⋊C4C2×#4114yes—
1406C22⋊C4—24no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
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—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4C2×#4118yes—
1469C22⋊C4C2×#4118yes—
1470C42—24no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—24no—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—28no—
1487C42—24no—
1488C42—42no—
1489C42—42no—
1490C42—42no—
1491C42—42no—
1492C42—42no—
1493C42—42no—
1494C42—42no—
1495C42—44no—
1496C42—44no—
1497C42—44no—
1498C42—42no—
1499C42—42no—
1500C42—44no—
1501C42—42no—
1502C42—42no—
1503C42—42no—
1504C42—42no—
1505C42—42no—
1506C42—42no—
1507C42—42no—
1508C42C2×#4118yes—
1509C42C2×#4118yes—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—28no—
1527C23—22no—
1528C23—24no—
1529C23—22no—
1530C23—24no—
1531C23—24no—
1532C23—22no—
1533C23—24no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—24no—
1538C23—24no—
1539C23—24no—
1540C23—22no—
1541C23—44no—
1542C23—44no—
1543C23—48no—
1544C23—82no—
1545C23—82no—
1546C23—82no—
1547C23—82no—
1548C23—84no—
1549C23—84no—
1550C23—84no—
1551C23—84no—
1552C23—84no—
1553C23—84no—
1554C23C22×#4112yes—
1555C23C22×#4112yes—
1556C23C22×#4112yes—
1557C23C22×#4112yes—
1558C23C22×#4112yes—
1559C23C2611yescharacteristic
1560Q8—44no—
1561Q8—88no—
1562D4—48no—
1563D4—416no—
1564D4—48no—
1565D4—48no—
1566D4—48no—
1567D4—44no—
1568D4—88no—
1569D4—88no—
1570D4—84no—
1571D4—88no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—28no—
1585C2×C4—28no—
1586C2×C4—28no—
1587C2×C4—28no—
1588C2×C4—28no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—24no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—48no—
1656C2×C4—84no—
1657C2×C4—88no—
1658C2×C4—84no—
1659C2×C4—84no—
1660C2×C4—88no—
1661C2×C4—88no—
1662C2×C4—84no—
1663C2×C4—82no—
1664C2×C4—82no—
1665C2×C4—82no—
1666C2×C4—82no—
1667C2×C4—84no—
1668C2×C4—84no—
1669C2×C4—84no—
1670C2×C4#529116yes—
1671C2×C4C22×#4114yes—
1672C2×C4C22×#4114yes—
1673C2×C4C22×#4114yes—
1674C2×C4C22×#4114yes—
1675C2×C4C22×#4112yes—
1676C2×C4C22×#4112yes—
1677C2×C4C22×#4112yes—
1678C2×C4C22×#4112yes—
1679C2×C4C22×#4112yes—
1680C2×C4C22×#4112yes—
1681C2×C4C22×#4112yes—
1682C2×C4C22×#4112yes—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—44no—
1704C22—42no—
1705C22—42no—
1706C22—44no—
1707C22—44no—
1708C22—42no—
1709C22—44no—
1710C22—42no—
1711C22—42no—
1712C22—44no—
1713C22—42no—
1714C22—44no—
1715C22—42no—
1716C22—44no—
1717C22—88no—
1718C22—168no—
1719C22C2×#52914yes—
1720C22C23×#4111yescharacteristic
1721C22C23×#4111yescharacteristic
1722C22C23×#4111yescharacteristic
1723C22H(7,𝔽2)11yescharacteristic
1724C22H(7,𝔽2)11yescharacteristic
1725C22H(7,𝔽2)11yescharacteristic
1726C222−1+611yescharacteristic
1727C4—24no—
1728C4—24no—
1729C4—24no—
1730C4—24no—
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—44no—
1738C4—42no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—42no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—42no—
1748C4—42no—
1749C4—42no—
1750C4—42no—
1751C4—44no—
1752C4—44no—
1753C4—42no—
1754C4—42no—
1755C4C2×#52914yes—
1756C4C2×#52914yes—
1757C2—24no—
1758C2—42no—
1759C2—42no—
1760C2—82no—
1761C2—84no—
1762C2C22×#52911yescharacteristic
1763C2#6285511yescharacteristic
1764C2#6285611yescharacteristic
1765C2#6285711yescharacteristic
1766C2#6285711yescharacteristic
1767C2#6285811yescharacteristic
1768C2#6285811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35252C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36073C2semidirect
2. #36000C2semidirect
3. #35989C2semidirect
4. #35988C2semidirect
5. #35978C2semidirect
6. #35977C2semidirect
7. #35800C2semidirect
8. #35798C2semidirect
9. #35725C2semidirect
10. #35722C2semidirect
11. #35717C2semidirect
12. #35716C2semidirect
13. #35340C2semidirect
14. #35299C2semidirect
15. #35295C2semidirect
16. #35288C2semidirect
17. #35269C2semidirect
18. #35268C2semidirect
19. #35267C2semidirect
20. #35266C2semidirect
21. #35265C2semidirect
22. #35264C2semidirect
23. #35253C2semidirect
25. #34635C2semidirect
26. #34621C2semidirect
27. #34619C2semidirect
28. C2×#2624C2semidirect
29. #34275C2semidirect
30. #34272C2semidirect
31. #34255C2semidirect
32. #34253C2semidirect
33. #34204C2semidirect
34. #34202C2semidirect
35. #33996C2semidirect
45. #2864C22semidirect
46. #2863C22semidirect
47. #2861C22semidirect
48. #2860C22semidirect
49. #2860C22semidirect
50. #2860C22semidirect
51. #2859C22semidirect
52. #2858C22semidirect
53. #2857C22semidirect
55. #2851C22semidirect
57. #2654C22semidirect
58. #2653C22semidirect
59. #2651C22semidirect
60. #2651C22semidirect
61. #2650C22semidirect
62. #2649C22semidirect
63. #2648C22semidirect
64. #2648C22semidirect
65. #2647C22semidirect
66. #2647C22semidirect
67. #2645C22semidirect
68. #2644C22semidirect
69. #2644C22semidirect
70. #2644C22semidirect
71. #2641C22semidirect
72. #2640C22semidirect
73. #2629C22semidirect
74. #2628C22semidirect
75. #2625C22semidirect
76. #2625C22semidirect
77. #2625C22semidirect
78. #2625C22semidirect
87. #2624C22semidirect
88. #2624C22semidirect
89. #2624C22semidirect
90. #2624C22semidirect
97. #2597C22semidirect
98. #2597C22semidirect
99. #2597C22semidirect
100. #2596C22semidirect
101. #2596C22semidirect
102. #2595C22semidirect
103. #2594C22semidirect
104. #2589C22semidirect
105. #2578C22semidirect
106. #2578C22semidirect
107. #2577C22semidirect
108. #2576C22semidirect
109. #2575C22semidirect
110. #2560C22semidirect
111. #2559C22semidirect
112. #2559C22semidirect
113. #2532C22semidirect
114. #2531C22semidirect
115. #2525C22semidirect
116. #2522C22semidirect
117. #2521C22semidirect
118. #2521C22semidirect
119. #2519C22semidirect
120. #2518C22semidirect
121. #2518C22semidirect
122. #2516C22semidirect
123. #2516C22semidirect
124. #2515C22semidirect
125. #2513C22semidirect
126. #2513C22semidirect
127. #2513C22semidirect
128. #2512C22semidirect
129. #2512C22semidirect
131. #2509C22semidirect
132. #2508C22semidirect
133. #2507C22semidirect
134. #2506C22semidirect
136. #2497C22semidirect
137. #2496C22semidirect
138. #2495C22semidirect
139. #2494C22semidirect
140. #2491C22semidirect
141. #2491C22semidirect
142. #2490C22semidirect
143. #2490C22semidirect
144. #2490C22semidirect
148. #2479C22semidirect
149. #2479C22semidirect
150. #2478C22semidirect
151. #2477C22semidirect
152. #2476C22semidirect
153. #2476C22semidirect
157. #2467C22semidirect
158. #2467C22semidirect
159. #2466C22semidirect
160. #2460C22semidirect
161. #2459C22semidirect
162. #2459C22semidirect
163. #2454C22semidirect
164. #2448C22semidirect
165. #2447C22semidirect
166. #2442C22semidirect
167. #2441C22semidirect
168. #2440C22semidirect
169. #2439C22semidirect
172. #2427C22semidirect
173. #2426C22semidirect
174. #2420C22semidirect
181. #2401C22semidirect
182. #2398C22semidirect
183. #2396C22semidirect
184. #2395C22semidirect
185. #2395C22semidirect
186. #2395C22semidirect
187. #2395C22semidirect
188. #2395C22semidirect
189. #2395C22semidirect
190. #2395C22semidirect
192. #2392C22semidirect
193. #2392C22semidirect
197. #2370C22semidirect
198. #2370C22semidirect
199. #2369C22semidirect
201. #2365C22semidirect
204. #2363C22semidirect
205. #2363C22semidirect
208. #2361C22semidirect
209. #2361C22semidirect
215. #2357C22semidirect
216. #2357C22semidirect
217. #2354C22semidirect
218. #2354C22semidirect
219. #2354C22semidirect
222. #2352C22semidirect
223. #2352C22semidirect
224. D4×C4⋊C4C22semidirect
225. #2347C22semidirect
226. #2346C22semidirect
227. #2345C22semidirect
228. #2344C22semidirect
233. #2331C22semidirect
234. #2330C22semidirect
235. #2328C22semidirect
236. #2326C22semidirect
239. #2324C22semidirect
240. #2323C22semidirect
241. #2320C22semidirect
242. #2319C22semidirect
243. #2319C22semidirect
244. #2319C22semidirect
255. C4×C4⋊Q8C22semidirect
256. C4×#127C22semidirect
257. C4×#125C22semidirect
258. C4×#124C22semidirect
259. C4×C22⋊Q8C22semidirect
262. C4×#121C22semidirect
267. #2295C22semidirect
268. #2293C22semidirect
269. #2293C22semidirect
270. #2293C22semidirect
281. #2274C22semidirect
282. #2274C22semidirect
283. #2274C22semidirect
284. #2274C22semidirect
285. #2274C22semidirect
286. #2274C22semidirect
287. #2274C22semidirect
288. #2274C22semidirect
295. C4×#117C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#360732
#360002
#359892
#359882
#359782
#359772
#358002
#357982
#357252
#357222
#357172
#357162
#353402
#352992
#352952
#352882
#352692
#352682
#352672
#352662
#352652
#352642
#352532
#352522
#346352
#346212
#346192
C2×#26242
#342752
#342722
#342552
#342532
#342042
#342022
#339962