Finite Group Databasebeta

← #7693307

Subgroups — #7693307

Order 512.

5355 conjugacy classes of subgroups.

The subgroup lattice has 1735 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59862C212yesmaximal, complemented
2#59647C211yesmaximal, characteristic, complemented
3#59645C212yesmaximal, complemented
4#59639C211yesmaximal, characteristic, complemented
5#59637C212yesmaximal, complemented
6#59635C214yesmaximal, complemented
7#59442C211yesmaximal, characteristic, complemented
8#59332C212yesmaximal, complemented
9#45205C212yesmaximal, complemented
10#45075C212yesmaximal, complemented
11#44105C214yesmaximal, complemented
12#43325C214yesmaximal, complemented
13#39203C211yesmaximal, characteristic, complemented
14#39201C211yesmaximal, characteristic, complemented
15#39199C212yesmaximal, complemented
16#39198C212yesmaximal, complemented
17#39197C212yesmaximal, complemented
18#39195C214yesmaximal, complemented
19#36609C211yesmaximal, characteristic, complemented
20#36606C212yesmaximal, complemented
21#36591C211yesmaximal, characteristic, complemented
22#36587C212yesmaximal, complemented
23#36289C211yesmaximal, characteristic, complemented
24#36260C211yesmaximal, characteristic
25#36238C212yesmaximal, complemented
26#36164C211yesmaximal, characteristic, complemented
27#35976C212yesmaximal, complemented
28#35791C212yesmaximal, complemented
29#34954C211yesmaximal, characteristic, complemented
30C2×#2513C212yesmaximal, complemented
31#34310C211yesmaximal, characteristic, complemented
32#34309C212yesmaximal, complemented
33#34308C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#554C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#547C2211yescharacteristic
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×D42C2211yescharacteristic
42C2×#520C2212yes—
43C2×#518C2212yes—
44#2862C2211yescharacteristic, complemented
45#2861C2212yescomplemented
46#2858C2211yescharacteristic
47#2858C2211yescharacteristic
48#2856C2212yes—
49#2850C2212yes—
50#2850C2214yescomplemented
51#2850C2212yescomplemented
52#2807C2214yescomplemented
53#2803C2214yescomplemented
54#2803C2214yescomplemented
55#2798C2214yescomplemented
56#2798C2214yescomplemented
57#2798C2214yescomplemented
58#2797C2214yescomplemented
59#2797C2214yescomplemented
60#2797C2214yescomplemented
61#2796C2214yescomplemented
62#2773C2214yescomplemented
63#2773C2214yescomplemented
64#2771C2214yescomplemented
65#2754C2214yescomplemented
66#2754C2214yescomplemented
67#2752C2214yescomplemented
68#2751C2214yescomplemented
69#2751C2214yescomplemented
70#2712C2214yescomplemented
71#2710C2214yescomplemented
72#2710C2214yescomplemented
73#2625C2212yescomplemented
74#2624C2212yescomplemented
75#2623C2214yescomplemented
76#2622C2214yescomplemented
77#2602C2214yescomplemented
78#2600C2214yescomplemented
79#2597C2214yescomplemented
80#2597C2214yescomplemented
81#2596C2214yescomplemented
82#2595C2214yescomplemented
83#2595C2214yescomplemented
84#2595C2214yescomplemented
85#2593C2212yescomplemented
86#2593C2214yescomplemented
87#2593C2212yescomplemented
88#2592C2212yes—
89#2592C2212yescomplemented
90#2592C2212yescomplemented
91#2591C2214yescomplemented
92#2582C2211yescharacteristic, complemented
93#2580C2212yescomplemented
94#2580C2212yescomplemented
95#2575C2214yescomplemented
96#2571C2212yescomplemented
97#2571C2211yescharacteristic, complemented
98#2570C2212yescomplemented
99#2570C2212yescomplemented
100#2568C2211yescharacteristic, complemented
101#2563C2211yescharacteristic
102#2563C2211yescharacteristic, complemented
103#2562C2212yescomplemented
104#2561C2214yescomplemented
105#2557C2214yescomplemented
106#2548C2211yescharacteristic
107#2548C2211yescharacteristic
108#2548C2211yescharacteristic
109#2548C2212yescomplemented
110#2544C2212yescomplemented
111#2542C2211yescharacteristic
112#2541C2211yescharacteristic
113#2540C2212yes—
114#2540C2212yes—
115#2539C2214yes—
116#2539C2214yes—
117#2517C2214yescomplemented
118#2516C2214yescomplemented
119#2516C2214yescomplemented
120#2516C2214yescomplemented
121#2513C2212yes—
122#2513C2212yes—
123#2513C2212yes—
124#2513C2211yescharacteristic
125#2513C2212yes—
126#2513C2212yescomplemented
127#2513C2212yescomplemented
128#2513C2214yescomplemented
129#2513C2214yescomplemented
130#2513C2212yescomplemented
131#2513C2212yescomplemented
132#2513C2214yescomplemented
133#2513C2214yescomplemented
134#2513C2211yescharacteristic, complemented
135#2513C2212yescomplemented
136#2513C2212yescomplemented
137#2513C2214yescomplemented
138#2511C2212yescomplemented
139#2504C2212yes—
140#2504C2212yescomplemented
141#2504C2212yescomplemented
142#2503C2212yescomplemented
143#2501C2212yes—
144#2499C2212yescomplemented
145#2498C2214yescomplemented
146#2492C2212yescomplemented
147#2491C2212yescomplemented
148#2490C2212yes—
149#2490C2212yes—
150#2490C2212yescomplemented
151#2489C2212yescomplemented
152#2489C2212yescomplemented
153#2489C2212yescomplemented
154#2488C2214yescomplemented
155#2488C2214yescomplemented
156#2488C2214yescomplemented
157#2488C2214yescomplemented
158#2486C2212yescomplemented
159#2485C2212yescomplemented
160#2483C2214yescomplemented
161#2482C2214yescomplemented
162#2472C2214yes—
163#2472C2214yes—
164#2472C2214yescomplemented
165#2472C2214yescomplemented
166#2458C2214yescomplemented
167#2448C2211yescharacteristic
168#2448C2212yescomplemented
169#2448C2212yescomplemented
170#2448C2212yescomplemented
171#2448C2212yescomplemented
172#2448C2212yescomplemented
173#2448C2211yescharacteristic, complemented
174#2447C2212yescomplemented
175#2447C2212yescomplemented
176#2447C2214yescomplemented
177#2447C2212yescomplemented
178#2447C2212yescomplemented
179#2445C2212yes—
180#2445C2212yescomplemented
181#2444C2214yescomplemented
182#2444C2214yescomplemented
183#2444C2214yescomplemented
184#2443C2214yescomplemented
185#2435C2212yes—
186#2433C2212yes—
187#2422C2212yescomplemented
188#2421C2212yescomplemented
189#2421C2212yescomplemented
190#2420C2212yescomplemented
191#2419C2214yescomplemented
192#2419C2214yescomplemented
193#2418C2214yescomplemented
194#2418C2214yescomplemented
195#2412C2214yescomplemented
196#2395C2212yescomplemented
197#2395C2212yescomplemented
198C2×#397C2214yescomplemented
199C2×#397C2214yescomplemented
200#2374C2214yescomplemented
201#2370C2212yescomplemented
202#2370C2211yescharacteristic, complemented
203#2370C2211yescharacteristic, complemented
204#2369C2211yescharacteristic, complemented
205#2369C2211yescharacteristic, complemented
206#2368C2212yescomplemented
207#2368C2212yescomplemented
208#2368C2214yescomplemented
209#2367C2212yescomplemented
210#2367C2212yescomplemented
211#2367C2212yescomplemented
212#2366C2211yescharacteristic
213#2366C2212yescomplemented
214#2365C2211yescharacteristic, complemented
215#2364C2214yescomplemented
216#2363C2212yes—
217#2362C2212yescomplemented
218#2361C2212yes—
219#2361C2212yescomplemented
220#2361C2212yescomplemented
221#2360C2212yescomplemented
222#2360C2212yescomplemented
223#2360C2212yescomplemented
224#2359C2214yescomplemented
225#2359C2214yescomplemented
226#2358C2214yes—
227#2358C2214yescomplemented
228#2357C2212yescomplemented
229#2357C2212yescomplemented
230#2357C2212yescomplemented
231#2355C2211yescharacteristic, complemented
232#2355C2211yescharacteristic, complemented
233#2355C2212yescomplemented
234#2354C2211yescharacteristic
235#2352C2212yescomplemented
236#2349C2211yescharacteristic
237#2349C2211yescharacteristic
238#2349C2212yes—
239D4×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic, complemented
242#2345C2212yescomplemented
243#2345C2212yescomplemented
244#2344C2212yescomplemented
245#2342C2214yescomplemented
246#2339C2212yes—
247#2339C2212yes—
248#2339C2212yes—
249D4×C22⋊C4C2212yes—
250D4×C22⋊C4C2212yes—
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2212yes—
253#2324C2212yes—
254#2324C2212yescomplemented
255#2323C2212yescomplemented
256#2323C2212yescomplemented
257#2322C2214yescomplemented
258#2322C2214yescomplemented
259#2321C2214yes—
260#2321C2214yescomplemented
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×#127C2211yescharacteristic
265C4×#127C2211yescharacteristic
266C4×#125C2212yescomplemented
267C4×#125C2211yescharacteristic, complemented
268C4×#125C2211yescharacteristic, complemented
269C4×#124C2211yescharacteristic
270C4×#124C2212yescomplemented
271C4×#124C2211yescharacteristic, complemented
272C4×#124C2212yescomplemented
273C4×C22⋊Q8C2214yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2212yescomplemented
278C4×#121C2212yes—
279C4×#121C2212yescomplemented
280C4×#121C2214yescomplemented
281#2293C2211yescharacteristic
282#2293C2211yescharacteristic, complemented
283#2293C2212yescomplemented
284C2×#390C2212yes—
285C2×#390C2212yes—
286C2×#390C2212yes—
287C2×#389C2212yescomplemented
288C2×#388C2214yescomplemented
289C2×#388C2214yescomplemented
290C2×#382C2212yescomplemented
291C42×Q8C2211yescharacteristic, complemented
292C42×Q8C2211yescharacteristic, complemented
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yescomplemented
298C2×C4×C4⋊C4C2212yescomplemented
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302#554—28no—
303#554—28no—
304#547—28no—
305#546—216no—
306#546—48no—
307D42—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2314yes—
349#520—48no—
350#518—48no—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2314yes—
388C2×#117C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2314yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2314yes—
399C22×C22⋊C4C2314yes—
400C22×C22⋊C4C2314yes—
401C22×C22⋊C4C2314yes—
402C22×C22⋊C4C2314yes—
403C22×C42C2312yes—
404C22×C42C2312yes—
405C22×C42C2312yes—
406C22×C42C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2312yes—
424#399C2312yes—
425#399C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2314yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2314yes—
534#390C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#390C2314yes—
545#390C2312yes—
546#390C2314yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2311yescharacteristic
712#382C2312yes—
713#382C2311yescharacteristic
714#382C2314yes—
715#382C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#379C2314yes—
735#379C2314yes—
736#379C2314yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
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⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2311yescharacteristic
818C25C2414yes—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×D4—28no—
828C22×D4—28no—
829C22×D4—28no—
830C22×D4—28no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4C2411yescharacteristic
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C4⋊Q8—24no—
862C4⋊Q8—24no—
863C4⋊Q8—24no—
864#127—24no—
865#127—44no—
866#127—42no—
867#125—24no—
868#125—28no—
869#125—24no—
870#124—28no—
871#124—44no—
872#124—42no—
873#124—44no—
874#124—42no—
875#124—44no—
876#124—44no—
877#124—84no—
878#124—82no—
879#123—216no—
880#123—216no—
881#123—48no—
882#123—48no—
883#123—84no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—216no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—44no—
892#121—28no—
893#121—216no—
894#121—28no—
895#121—28no—
896#121—28no—
897#121—44no—
898#121—48no—
899#120—216no—
900#120—216no—
901#120—48no—
902C4×Q8—24no—
903C4×Q8—24no—
904C4×Q8—42no—
905C4×Q8—44no—
906C4×Q8—42no—
907C4×Q8—42no—
908C4×Q8—42no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—82no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—28no—
917C4×D4—24no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929C4×D4—48no—
930C4×D4—48no—
931C4×D4—48no—
932C4×D4—84no—
933C4×D4—82no—
934C4×D4#4118yes—
935C4×D4#4118yes—
936#117—44no—
937#117—44no—
938#117—48no—
939#117—44no—
940C2×C4⋊C4—28no—
941C2×C4⋊C4—28no—
942C2×C4⋊C4—28no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—48no—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C22⋊C4—216no—
1009C2×C22⋊C4—48no—
1010C2×C22⋊C4—48no—
1011C2×C22⋊C4—48no—
1012C2×C22⋊C4—48no—
1013C2×C22⋊C4—84no—
1014C2×C22⋊C4—84no—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C42—44no—
1078C2×C42—44no—
1079C2×C42—44no—
1080C2×C42—84no—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2414yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2411yescharacteristic
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2412yes—
1176#95C2411yescharacteristic
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187C24—28no—
1188C24—28no—
1189C24—28no—
1190C24—44no—
1191C24—44no—
1192C24—44no—
1193C24—44no—
1194C24C2512yes—
1195C24C2514yes—
1196C24C2512yes—
1197C24C2512yes—
1198#41—432no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—41no—
1210C2×Q8—42no—
1211C2×Q8—42no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—28no—
1218C2×D4—28no—
1219C2×D4—28no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—28no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—432no—
1251C2×D4—816no—
1252C2×D4C2×#4114yes—
1253C2×D4C2×#4114yes—
1254C2×D4H(5,𝔽2)14yes—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—28no—
1258C22×C4—24no—
1259C22×C4—28no—
1260C22×C4—28no—
1261C22×C4—24no—
1262C22×C4—28no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—28no—
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—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4C2×#4118yes—
1299C22×C4C2×#4118yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2514yes—
1310C22×C4C2514yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—28no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—28no—
1350C4⋊C4—24no—
1351C4⋊C4—28no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—41no—
1377C4⋊C4—41no—
1378C4⋊C4—42no—
1379C4⋊C4—41no—
1380C4⋊C4—41no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—41no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4C2×#4114yes—
1391C4⋊C4C2×#4114yes—
1392C22⋊C4—28no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—24no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4C2×#4118yes—
1453C22⋊C4C2×#4118yes—
1454C42—24no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—24no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—42no—
1472C42—42no—
1473C42—42no—
1474C42—42no—
1475C42—42no—
1476C42—42no—
1477C42—42no—
1478C42—44no—
1479C42—44no—
1480C42—44no—
1481C42—44no—
1482C42—44no—
1483C42—44no—
1484C42—41no—
1485C42—42no—
1486C42—42no—
1487C42—41no—
1488C42—41no—
1489C42—41no—
1490C42—42no—
1491C42—41no—
1492C42C2×#4114yes—
1493C42C2×#4114yes—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—24no—
1501C23—22no—
1502C23—22no—
1503C23—24no—
1504C23—22no—
1505C23—24no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—24no—
1510C23—24no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—24no—
1515C23—22no—
1516C23—22no—
1517C23—24no—
1518C23—22no—
1519C23—416no—
1520C23—88no—
1521C23—88no—
1522C23—88no—
1523C23—88no—
1524C23—88no—
1525C23—88no—
1526C23C22×#4114yes—
1527C23C22×#4114yes—
1528C23C2×H(5,𝔽2)14yes—
1529C23C2611yescharacteristic
1530Q8—44no—
1531Q8—48no—
1532Q8—44no—
1533Q8—84no—
1534Q8—84no—
1535D4—416no—
1536D4—416no—
1537D4—48no—
1538D4—44no—
1539D4—48no—
1540D4—44no—
1541D4—88no—
1542D4—84no—
1543D4—84no—
1544D4—88no—
1545D4—84no—
1546D4—164no—
1547D4#559116yes—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—216no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—24no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—48no—
1631C2×C4—48no—
1632C2×C4—416no—
1633C2×C4—48no—
1634C2×C4—48no—
1635C2×C4—84no—
1636C2×C4—88no—
1637C2×C4—84no—
1638C2×C4—84no—
1639C2×C4—88no—
1640C2×C4—84no—
1641C2×C4—164no—
1642C2×C4—164no—
1643C2×C4—164no—
1644C2×C4C22×#4112yes—
1645C2×C4C22×#4112yes—
1646C2×C4C22×#4112yes—
1647C2×C4C22×#4114yes—
1648C2×C4C22×#4114yes—
1649C2×C4C22×#4112yes—
1650C2×C4C22×#4112yes—
1651C2×C4C22×#4112yes—
1652C2×C4C2×H(5,𝔽2)12yes—
1653C2×C4#58512yes—
1654C2×C4#58512yes—
1655C2×C4#58512yes—
1656C22—24no—
1657C22—24no—
1658C22—24no—
1659C22—24no—
1660C22—24no—
1661C22—24no—
1662C22—42no—
1663C22—44no—
1664C22—42no—
1665C22—44no—
1666C22—42no—
1667C22—42no—
1668C22—44no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—44no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—44no—
1677C22—42no—
1678C22—44no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—44no—
1683C22—1616no—
1684C22C2×#55918yes—
1685C22C23×#4111yescharacteristic
1686C22C23×#4111yescharacteristic
1687C22C22×H(5,𝔽2)11yescharacteristic
1688C22C2×#58511yescharacteristic
1689C22C2×#58511yescharacteristic
1690C22C2×#58511yescharacteristic
1691C22H(7,𝔽2)11yescharacteristic
1692C4—22no—
1693C4—24no—
1694C4—22no—
1695C4—24no—
1696C4—22no—
1697C4—22no—
1698C4—41no—
1699C4—42no—
1700C4—41no—
1701C4—42no—
1702C4—44no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4—42no—
1713C4—41no—
1714C4—44no—
1715C4—42no—
1716C4—41no—
1717C4—41no—
1718C4—42no—
1719C4—42no—
1720C4—44no—
1721C4C2×#55914yes—
1722C4#352114yes—
1723C2—28no—
1724C2—82no—
1725C2—84no—
1726C2—82no—
1727C2C22×#55911yescharacteristic
1728C2C2×#352111yescharacteristic
1729C2#6281611yescharacteristic
1730C2#6292011yescharacteristic
1731C2#6299211yescharacteristic
1732C2#6301011yescharacteristic
1733C2#6302411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36260C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59862C2semidirect
2. #59647C2semidirect
3. #59645C2semidirect
4. #59639C2semidirect
5. #59637C2semidirect
6. #59635C2semidirect
7. #59442C2semidirect
8. #59332C2semidirect
9. #45205C2semidirect
10. #45075C2semidirect
11. #44105C2semidirect
12. #43325C2semidirect
13. #39203C2semidirect
14. #39201C2semidirect
15. #39199C2semidirect
16. #39198C2semidirect
17. #39197C2semidirect
18. #39195C2semidirect
19. #36609C2semidirect
20. #36606C2semidirect
21. #36591C2semidirect
22. #36587C2semidirect
23. #36289C2semidirect
25. #36238C2semidirect
26. #36164C2semidirect
27. #35976C2semidirect
28. #35791C2semidirect
29. #34954C2semidirect
30. C2×#2513C2semidirect
31. #34310C2semidirect
32. #34309C2semidirect
33. #34308C2semidirect
34. C4×#554C2semidirect
35. C4×#554C2semidirect
44. #2862C22semidirect
45. #2861C22semidirect
50. #2850C22semidirect
51. #2850C22semidirect
52. #2807C22semidirect
53. #2803C22semidirect
54. #2803C22semidirect
55. #2798C22semidirect
56. #2798C22semidirect
57. #2798C22semidirect
58. #2797C22semidirect
59. #2797C22semidirect
60. #2797C22semidirect
61. #2796C22semidirect
62. #2773C22semidirect
63. #2773C22semidirect
64. #2771C22semidirect
65. #2754C22semidirect
66. #2754C22semidirect
67. #2752C22semidirect
68. #2751C22semidirect
69. #2751C22semidirect
70. #2712C22semidirect
71. #2710C22semidirect
72. #2710C22semidirect
73. #2625C22semidirect
74. #2624C22semidirect
75. #2623C22semidirect
76. #2622C22semidirect
77. #2602C22semidirect
78. #2600C22semidirect
79. #2597C22semidirect
80. #2597C22semidirect
81. #2596C22semidirect
82. #2595C22semidirect
83. #2595C22semidirect
84. #2595C22semidirect
85. #2593C22semidirect
86. #2593C22semidirect
87. #2593C22semidirect
89. #2592C22semidirect
90. #2592C22semidirect
91. #2591C22semidirect
92. #2582C22semidirect
93. #2580C22semidirect
94. #2580C22semidirect
95. #2575C22semidirect
96. #2571C22semidirect
97. #2571C22semidirect
98. #2570C22semidirect
99. #2570C22semidirect
100. #2568C22semidirect
102. #2563C22semidirect
103. #2562C22semidirect
104. #2561C22semidirect
105. #2557C22semidirect
109. #2548C22semidirect
110. #2544C22semidirect
117. #2517C22semidirect
118. #2516C22semidirect
119. #2516C22semidirect
120. #2516C22semidirect
126. #2513C22semidirect
127. #2513C22semidirect
128. #2513C22semidirect
129. #2513C22semidirect
130. #2513C22semidirect
131. #2513C22semidirect
132. #2513C22semidirect
133. #2513C22semidirect
134. #2513C22semidirect
135. #2513C22semidirect
136. #2513C22semidirect
137. #2513C22semidirect
138. #2511C22semidirect
140. #2504C22semidirect
141. #2504C22semidirect
142. #2503C22semidirect
144. #2499C22semidirect
145. #2498C22semidirect
146. #2492C22semidirect
147. #2491C22semidirect
150. #2490C22semidirect
151. #2489C22semidirect
152. #2489C22semidirect
153. #2489C22semidirect
154. #2488C22semidirect
155. #2488C22semidirect
156. #2488C22semidirect
157. #2488C22semidirect
158. #2486C22semidirect
159. #2485C22semidirect
160. #2483C22semidirect
161. #2482C22semidirect
164. #2472C22semidirect
165. #2472C22semidirect
166. #2458C22semidirect
168. #2448C22semidirect
169. #2448C22semidirect
170. #2448C22semidirect
171. #2448C22semidirect
172. #2448C22semidirect
173. #2448C22semidirect
174. #2447C22semidirect
175. #2447C22semidirect
176. #2447C22semidirect
177. #2447C22semidirect
178. #2447C22semidirect
180. #2445C22semidirect
181. #2444C22semidirect
182. #2444C22semidirect
183. #2444C22semidirect
184. #2443C22semidirect
187. #2422C22semidirect
188. #2421C22semidirect
189. #2421C22semidirect
190. #2420C22semidirect
191. #2419C22semidirect
192. #2419C22semidirect
193. #2418C22semidirect
194. #2418C22semidirect
195. #2412C22semidirect
196. #2395C22semidirect
197. #2395C22semidirect
198. C2×#397C22semidirect
199. C2×#397C22semidirect
200. #2374C22semidirect
201. #2370C22semidirect
202. #2370C22semidirect
203. #2370C22semidirect
204. #2369C22semidirect
205. #2369C22semidirect
206. #2368C22semidirect
207. #2368C22semidirect
208. #2368C22semidirect
209. #2367C22semidirect
210. #2367C22semidirect
211. #2367C22semidirect
213. #2366C22semidirect
214. #2365C22semidirect
215. #2364C22semidirect
217. #2362C22semidirect
219. #2361C22semidirect
220. #2361C22semidirect
221. #2360C22semidirect
222. #2360C22semidirect
223. #2360C22semidirect
224. #2359C22semidirect
225. #2359C22semidirect
227. #2358C22semidirect
228. #2357C22semidirect
229. #2357C22semidirect
230. #2357C22semidirect
231. #2355C22semidirect
232. #2355C22semidirect
233. #2355C22semidirect
235. #2352C22semidirect
241. D4×C4⋊C4C22semidirect
242. #2345C22semidirect
243. #2345C22semidirect
244. #2344C22semidirect
245. #2342C22semidirect
254. #2324C22semidirect
255. #2323C22semidirect
256. #2323C22semidirect
257. #2322C22semidirect
258. #2322C22semidirect
260. #2321C22semidirect
261. C4×C4⋊Q8C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×C4⋊Q8C22semidirect
266. C4×#125C22semidirect
267. C4×#125C22semidirect
268. C4×#125C22semidirect
270. C4×#124C22semidirect
271. C4×#124C22semidirect
272. C4×#124C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
282. #2293C22semidirect
283. #2293C22semidirect
287. C2×#389C22semidirect
288. C2×#388C22semidirect
289. C2×#388C22semidirect
290. C2×#382C22semidirect
291. C42×Q8C22semidirect
292. C42×Q8C22semidirect
297. C2×C4×C4⋊C4C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#598622
#596472
#596452
#596392
#596372
#596352
#594422
#593322
#452052
#450752
#441052
#433252
#392032
#392012
#391992
#391982
#391972
#391952
#366092
#366062
#365912
#365872
#362892
#362602
#362382
#361642
#359762
#357912
#349542
C2×#25132
#343102
#343092
#343082
C4×#5542