Finite Group Databasebeta

← #7677817

Subgroups — #7677817

Order 512.

5396 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#59764C212yesmaximal, complemented
2#59683C212yesmaximal, complemented
3#59679C211yesmaximal, characteristic, complemented
4#59647C211yesmaximal, characteristic, complemented
5#59484C212yesmaximal, complemented
6#59480C212yesmaximal, complemented
7#59465C211yesmaximal, characteristic, complemented
8#59411C211yesmaximal, characteristic, complemented
9#59257C211yesmaximal, characteristic, complemented
10#59245C211yesmaximal, characteristic, complemented
11#59143C211yesmaximal, characteristic, complemented
12#59124C211yesmaximal, characteristic
13#45209C212yesmaximal, complemented
14#45198C212yesmaximal, complemented
15#45188C212yesmaximal, complemented
16#45187C212yesmaximal, complemented
17#44245C214yesmaximal, complemented
18#44174C214yesmaximal, complemented
19#40425C214yesmaximal, complemented
20#40057C212yesmaximal, complemented
21#40049C212yesmaximal, complemented
22#38569C214yesmaximal, complemented
23#36463C212yesmaximal, complemented
24#36240C212yesmaximal, complemented
25#35623C212yesmaximal, complemented
26#35611C212yesmaximal, complemented
27#35215C212yesmaximal, complemented
28#35198C211yesmaximal, characteristic, complemented
29#34954C211yesmaximal, characteristic, complemented
30#34915C211yesmaximal, characteristic, complemented
31#34313C211yesmaximal, characteristic, complemented
32#34309C212yesmaximal, complemented
33#34210C211yesmaximal, characteristic, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#541C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#546C2212yes—
39C2×#542C2212yescomplemented
40C2×#541C2211yescharacteristic
41C22×#127C2211yescharacteristic
42C2×#520C2212yescomplemented
43C2×#518C2212yes—
44#2860C2212yescomplemented
45#2858C2212yescomplemented
46#2854C2214yescomplemented
47#2852C2214yescomplemented
48#2800C2214yescomplemented
49#2797C2214yescomplemented
50#2788C2214yes—
51#2786C2214yescomplemented
52#2784C2214yescomplemented
53#2782C2214yescomplemented
54#2779C2214yescomplemented
55#2753C2214yescomplemented
56#2751C2214yescomplemented
57#2750C2214yes—
58#2750C2214yescomplemented
59#2749C2214yescomplemented
60#2749C2214yescomplemented
61#2743C2214yescomplemented
62#2736C2214yes—
63#2730C2214yescomplemented
64#2711C2214yescomplemented
65#2709C2214yes—
66#2701C2214yescomplemented
67#2694C2214yescomplemented
68#2685C2214yes—
69#2685C2214yes—
70#2684C2214yes—
71#2673C2214yes—
72#2662C2214yescomplemented
73#2649C2214yescomplemented
74#2648C2214yescomplemented
75#2602C2214yescomplemented
76#2600C2214yescomplemented
77#2600C2214yescomplemented
78#2597C2212yes—
79#2596C2212yescomplemented
80#2595C2212yes—
81#2594C2212yescomplemented
82#2593C2214yescomplemented
83#2588C2214yescomplemented
84#2582C2211yescharacteristic, complemented
85#2578C2214yescomplemented
86#2573C2214yescomplemented
87#2572C2214yescomplemented
88#2571C2211yescharacteristic, complemented
89#2568C2212yescomplemented
90#2566C2212yescomplemented
91#2564C2214yescomplemented
92#2563C2212yescomplemented
93#2563C2212yescomplemented
94#2561C2214yes—
95#2559C2214yescomplemented
96#2558C2214yescomplemented
97#2557C2214yescomplemented
98#2557C2214yescomplemented
99#2551C2211yescharacteristic, complemented
100#2548C2211yescharacteristic
101#2548C2211yescharacteristic
102#2548C2211yescharacteristic
103#2545C2212yescomplemented
104#2544C2212yes—
105#2544C2212yes—
106#2544C2212yescomplemented
107#2544C2212yescomplemented
108#2541C2212yes—
109#2541C2211yescharacteristic
110#2538C2211yescharacteristic, complemented
111#2534C2214yes—
112#2513C2212yescomplemented
113#2513C2211yescharacteristic, complemented
114#2513C2212yescomplemented
115#2513C2212yescomplemented
116#2513C2212yescomplemented
117#2512C2212yescomplemented
118#2512C2212yescomplemented
119#2511C2212yescomplemented
120#2510C2214yescomplemented
121#2510C2214yescomplemented
122#2509C2211yescharacteristic, complemented
123#2509C2212yescomplemented
124#2509C2212yescomplemented
125#2504C2212yescomplemented
126#2503C2212yescomplemented
127#2497C2212yes—
128#2495C2212yes—
129#2495C2212yescomplemented
130#2494C2211yescharacteristic
131#2492C2212yes—
132#2491C2212yescomplemented
133#2490C2211yescharacteristic
134#2490C2214yescomplemented
135#2490C2212yescomplemented
136#2488C2214yescomplemented
137#2481C2214yescomplemented
138#2481C2214yescomplemented
139#2480C2214yes—
140#2480C2214yes—
141#2480C2214yes—
142#2480C2214yes—
143#2477C2214yescomplemented
144#2477C2214yescomplemented
145#2472C2214yes—
146#2471C2214yescomplemented
147#2470C2214yescomplemented
148#2467C2214yescomplemented
149#2466C2214yescomplemented
150#2466C2214yescomplemented
151#2461C2214yescomplemented
152#2459C2214yescomplemented
153#2459C2214yescomplemented
154#2459C2214yescomplemented
155#2457C2214yescomplemented
156#2457C2214yescomplemented
157#2454C2212yescomplemented
158#2454C2212yescomplemented
159#2453C2211yescharacteristic, complemented
160#2452C2212yescomplemented
161#2452C2212yescomplemented
162#2452C2212yescomplemented
163#2448C2211yescharacteristic, complemented
164#2448C2212yescomplemented
165#2448C2212yescomplemented
166#2447C2212yescomplemented
167#2447C2212yescomplemented
168#2447C2212yescomplemented
169#2445C2212yes—
170#2445C2212yes—
171#2445C2212yes—
172#2445C2212yescomplemented
173#2445C2212yescomplemented
174#2444C2214yescomplemented
175#2439C2212yes—
176#2435C2212yes—
177#2435C2212yes—
178#2433C2212yes—
179#2432C2212yescomplemented
180#2431C2212yes—
181#2428C2212yes—
182#2427C2212yescomplemented
183#2426C2211yescharacteristic
184#2426C2212yescomplemented
185#2425C2214yescomplemented
186#2422C2212yescomplemented
187#2421C2211yescharacteristic
188#2420C2212yes—
189#2420C2212yescomplemented
190#2420C2214yescomplemented
191#2415C2212yes—
192#2415C2214yescomplemented
193#2411C2214yes—
194#2410C2214yes—
195#2408C2212yes—
196#2405C2214yes—
197#2401C2212yescomplemented
198#2395C2212yes—
199#2395C2214yescomplemented
200#2374C2214yescomplemented
201#2369C2212yescomplemented
202#2367C2212yescomplemented
203#2367C2212yescomplemented
204#2367C2212yescomplemented
205#2366C2211yescharacteristic
206#2366C2212yes—
207#2366C2211yescharacteristic
208#2366C2212yes—
209#2366C2212yes—
210#2366C2212yes—
211#2366C2212yescomplemented
212#2366C2212yescomplemented
213#2364C2214yescomplemented
214#2362C2212yes—
215#2361C2212yescomplemented
216#2361C2212yescomplemented
217#2361C2214yescomplemented
218#2359C2214yescomplemented
219#2358C2214yes—
220#2357C2212yescomplemented
221#2357C2212yescomplemented
222#2357C2212yescomplemented
223#2357C2212yescomplemented
224#2355C2211yescharacteristic, complemented
225#2355C2211yescharacteristic, complemented
226#2352C2212yes—
227Q8×C4⋊C4C2211yescharacteristic, complemented
228#2349C2212yescomplemented
229#2349C2212yescomplemented
230#2349C2212yescomplemented
231D4×C4⋊C4C2212yescomplemented
232D4×C4⋊C4C2211yescharacteristic, complemented
233#2342C2214yes—
234#2341C2212yescomplemented
235#2339C2212yescomplemented
236D4×C22⋊C4C2212yes—
237D4×C22⋊C4C2212yes—
238D4×C22⋊C4C2212yes—
239D4×C22⋊C4C2212yes—
240D4×C22⋊C4C2212yes—
241D4×C22⋊C4C2212yes—
242D4×C22⋊C4C2212yes—
243#2336C2212yescomplemented
244#2336C2212yescomplemented
245#2334C2212yes—
246#2334C2212yes—
247#2330C2211yescharacteristic, complemented
248#2328C2212yes—
249#2328C2212yes—
250#2327C2211yescharacteristic, complemented
251#2324C2212yescomplemented
252#2324C2212yescomplemented
253#2324C2214yescomplemented
254#2323C2211yescharacteristic
255#2323C2211yescharacteristic
256#2322C2214yescomplemented
257#2321C2214yes—
258#2320C2211yescharacteristic, complemented
259#2320C2211yescharacteristic, complemented
260#2314C2211yescharacteristic
261#2309C2212yes—
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×#127C2211yescharacteristic
264C4×#127C2211yescharacteristic
265C4×#127C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#127C2212yescomplemented
268C4×#125C2211yescharacteristic, complemented
269C4×#125C2212yescomplemented
270C4×#125C2211yescharacteristic, complemented
271C4×#125C2212yescomplemented
272C4×#126C2212yes—
273C4×#126C2212yes—
274C4×#124C2212yescomplemented
275C4×#124C2211yescharacteristic, complemented
276C4×#124C2212yescomplemented
277C4×#124C2212yescomplemented
278C4×#124C2212yescomplemented
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×#123C2214yescomplemented
283C4×#121C2211yescharacteristic
284C4×#121C2214yescomplemented
285#2298C2212yescomplemented
286#2293C2212yes—
287#2293C2212yescomplemented
288#2293C2211yescharacteristic, complemented
289#2293C2212yescomplemented
290#2293C2212yescomplemented
291C2×#388C2214yes—
292#2285C2211yescharacteristic
293C42×Q8C2211yescharacteristic, complemented
294C42×Q8C2211yescharacteristic, complemented
295C42×Q8C2211yescharacteristic, complemented
296C42×D4C2212yescomplemented
297C42×D4C2212yescomplemented
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#559—28no—
304#550—28no—
305#546—216no—
306#542—48no—
307#541—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×#127—28no—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#126C2312yes—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355#520—48no—
356#518—48no—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2314yes—
400C2×#117C2314yes—
401C22×C4⋊C4C2314yes—
402C22×C4⋊C4C2312yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2314yes—
405C22×C22⋊C4C2314yes—
406C22×C22⋊C4C2314yes—
407C22×C42C2311yescharacteristic
408C22×C42C2314yes—
409#401C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#399C2314yes—
423#399C2312yes—
424#399C2314yes—
425#398C2314yes—
426#398C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#395C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2314yes—
493#391C2312yes—
494#391C2314yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2311yescharacteristic
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2311yescharacteristic
539#390C2312yes—
540#390C2311yescharacteristic
541#390C2312yes—
542#390C2312yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
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#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2311yescharacteristic
706#383C2312yes—
707#383C2312yes—
708#383C2314yes—
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2311yescharacteristic
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2314yes—
739#379C2314yes—
740#379C2314yes—
741#379C2314yes—
742#379C2314yes—
743#379C2314yes—
744#379C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809#376C2311yescharacteristic
810#376C2311yescharacteristic
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C25C2414yes—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×D4—28no—
827C22×D4—28no—
828C22×D4—28no—
829C22×D4—28no—
830C22×D4—44no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4—82no—
834C22×D4—82no—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2411yescharacteristic
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C4⋊Q8—24no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866#127—28no—
867#127—28no—
868#127—28no—
869#127—28no—
870#127—24no—
871#127—44no—
872#127#4118yes—
873#126—28no—
874#126—28no—
875#126—48no—
876#126—84no—
877#125—24no—
878#125—28no—
879#125—28no—
880#125—42no—
881#124—28no—
882#124—28no—
883#124—28no—
884#124—48no—
885#124—44no—
886#124—42no—
887#124—44no—
888#124—84no—
889#123—216no—
890#123—216no—
891#123—48no—
892#123—84no—
893#123—84no—
894C22⋊Q8—24no—
895C22⋊Q8—48no—
896C22⋊Q8—42no—
897C22⋊Q8—44no—
898C22⋊Q8—84no—
899C22⋊Q8#4118yes—
900#121—28no—
901#121—216no—
902#121—28no—
903#121—216no—
904#121—42no—
905#121—44no—
906#121—84no—
907#120—216no—
908#120—84no—
909C4×Q8—24no—
910C4×Q8—24no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—24no—
916C4×Q8—42no—
917C4×Q8—42no—
918C4×Q8—44no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—24no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—48no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—48no—
939C4×D4—48no—
940C4×D4—48no—
941C4×D4—84no—
942C4×D4—82no—
943C4×D4—84no—
944C4×D4—82no—
945C4×D4—82no—
946C4×D4—82no—
947#117—24no—
948#117—24no—
949#117—28no—
950#117—48no—
951#117—44no—
952#117—84no—
953C2×C4⋊C4—48no—
954C2×C4⋊C4—44no—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C22⋊C4—216no—
1016C2×C22⋊C4—48no—
1017C2×C22⋊C4—48no—
1018C2×C22⋊C4—84no—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C42—24no—
1083C2×C42—84no—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2414yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191C24—28no—
1192C24—28no—
1193C24—44no—
1194C24—44no—
1195C24—44no—
1196C24—44no—
1197C24—44no—
1198C24C2514yes—
1199C24C2512yes—
1200C24C2511yescharacteristic
1201C24C2514yes—
1202#41—432no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—44no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×Q8C2×#4114yes—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—28no—
1219C2×D4—28no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—28no—
1224C2×D4—28no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—432no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—816no—
1259C2×D4—816no—
1260C2×D4C2×#4118yes—
1261C2×D4C2×#4118yes—
1262C2×D4C2×#4118yes—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—28no—
1266C22×C4—28no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—28no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—28no—
1276C22×C4—28no—
1277C22×C4—28no—
1278C22×C4—44no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
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×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4C2×#4114yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2514yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2514yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4C2×#4114yes—
1392C4⋊C4C2×#4118yes—
1393C22⋊C4—24no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
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—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4C2×#4118yes—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—24no—
1462C42—24no—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—22no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—22no—
1472C42—22no—
1473C42—24no—
1474C42—22no—
1475C42—22no—
1476C42—24no—
1477C42—42no—
1478C42—42no—
1479C42—44no—
1480C42—44no—
1481C42—44no—
1482C42—44no—
1483C42—42no—
1484C42—42no—
1485C42—41no—
1486C42—41no—
1487C42—41no—
1488C42—41no—
1489C42—42no—
1490C42—42no—
1491C42—42no—
1492C42—42no—
1493C42C2×#4114yes—
1494C42H(5,𝔽2)14yes—
1495C23—24no—
1496C23—21no—
1497C23—21no—
1498C23—24no—
1499C23—21no—
1500C23—24no—
1501C23—24no—
1502C23—21no—
1503C23—21no—
1504C23—24no—
1505C23—21no—
1506C23—24no—
1507C23—24no—
1508C23—22no—
1509C23—22no—
1510C23—24no—
1511C23—22no—
1512C23—24no—
1513C23—22no—
1514C23—24no—
1515C23—22no—
1516C23—24no—
1517C23—24no—
1518C23—24no—
1519C23—22no—
1520C23—22no—
1521C23—416no—
1522C23—88no—
1523C23—88no—
1524C23—88no—
1525C23—88no—
1526C23—164no—
1527C23—164no—
1528C23C22×#4112yes—
1529C23C22×#4118yes—
1530C23C2611yescharacteristic
1531Q8—28no—
1532Q8—44no—
1533Q8—44no—
1534Q8—164no—
1535D4—216no—
1536D4—216no—
1537D4—48no—
1538D4—416no—
1539D4—416no—
1540D4—48no—
1541D4—48no—
1542D4—44no—
1543D4—48no—
1544D4—88no—
1545D4—84no—
1546D4—88no—
1547D4—88no—
1548D4—88no—
1549D4—164no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—28no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—416no—
1633C2×C4—44no—
1634C2×C4—48no—
1635C2×C4—44no—
1636C2×C4—88no—
1637C2×C4—88no—
1638C2×C4—88no—
1639C2×C4—88no—
1640C2×C4—164no—
1641C2×C4—164no—
1642C2×C4—164no—
1643C2×C4—164no—
1644C2×C4C22×#4112yes—
1645C2×C4C22×#4114yes—
1646C2×C4C22×#4114yes—
1647C2×C4C22×#4112yes—
1648C2×C4C22×#4112yes—
1649C2×C4C22×#4112yes—
1650C2×C4C22×#4112yes—
1651C2×C4C2×H(5,𝔽2)12yes—
1652C2×C4C2×H(5,𝔽2)12yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4#58512yes—
1655C2×C4#58512yes—
1656C22—22no—
1657C22—22no—
1658C22—28no—
1659C22—28no—
1660C22—22no—
1661C22—28no—
1662C22—44no—
1663C22—44no—
1664C22—41no—
1665C22—41no—
1666C22—44no—
1667C22—44no—
1668C22—41no—
1669C22—41no—
1670C22—42no—
1671C22—44no—
1672C22—42no—
1673C22—44no—
1674C22—44no—
1675C22—42no—
1676C22—44no—
1677C22—42no—
1678C22—44no—
1679C22—42no—
1680C22—44no—
1681C22—42no—
1682C22—42no—
1683C22—44no—
1684C22—1616no—
1685C22C23×#4111yescharacteristic
1686C22C23×#4111yescharacteristic
1687C22C22×H(5,𝔽2)11yescharacteristic
1688C22C2×#58511yescharacteristic
1689C22C2×#58511yescharacteristic
1690C22H(7,𝔽2)11yescharacteristic
1691C22H(7,𝔽2)11yescharacteristic
1692C4—24no—
1693C4—22no—
1694C4—22no—
1695C4—22no—
1696C4—22no—
1697C4—24no—
1698C4—41no—
1699C4—42no—
1700C4—41no—
1701C4—42no—
1702C4—41no—
1703C4—41no—
1704C4—42no—
1705C4—41no—
1706C4—42no—
1707C4—41no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—44no—
1712C4—44no—
1713C4—42no—
1714C4—41no—
1715C4—41no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4#348114yes—
1722C4#352114yes—
1723C2—48no—
1724C2—42no—
1725C2—82no—
1726C2—84no—
1727C2C2×#348111yescharacteristic
1728C2C2×#352111yescharacteristic
1729C2#6284611yescharacteristic
1730C2#6296111yescharacteristic
1731C2#6296111yescharacteristic
1732C2#6300611yescharacteristic
1733C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59124C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59764C2semidirect
2. #59683C2semidirect
3. #59679C2semidirect
4. #59647C2semidirect
5. #59484C2semidirect
6. #59480C2semidirect
7. #59465C2semidirect
8. #59411C2semidirect
9. #59257C2semidirect
10. #59245C2semidirect
11. #59143C2semidirect
13. #45209C2semidirect
14. #45198C2semidirect
15. #45188C2semidirect
16. #45187C2semidirect
17. #44245C2semidirect
18. #44174C2semidirect
19. #40425C2semidirect
20. #40057C2semidirect
21. #40049C2semidirect
22. #38569C2semidirect
23. #36463C2semidirect
24. #36240C2semidirect
25. #35623C2semidirect
26. #35611C2semidirect
27. #35215C2semidirect
28. #35198C2semidirect
29. #34954C2semidirect
30. #34915C2semidirect
31. #34313C2semidirect
32. #34309C2semidirect
33. #34210C2semidirect
34. C4×#559C2semidirect
35. C4×#541C2semidirect
39. C2×#542C22semidirect
42. C2×#520C22semidirect
44. #2860C22semidirect
45. #2858C22semidirect
46. #2854C22semidirect
47. #2852C22semidirect
48. #2800C22semidirect
49. #2797C22semidirect
51. #2786C22semidirect
52. #2784C22semidirect
53. #2782C22semidirect
54. #2779C22semidirect
55. #2753C22semidirect
56. #2751C22semidirect
58. #2750C22semidirect
59. #2749C22semidirect
60. #2749C22semidirect
61. #2743C22semidirect
63. #2730C22semidirect
64. #2711C22semidirect
66. #2701C22semidirect
67. #2694C22semidirect
72. #2662C22semidirect
73. #2649C22semidirect
74. #2648C22semidirect
75. #2602C22semidirect
76. #2600C22semidirect
77. #2600C22semidirect
79. #2596C22semidirect
81. #2594C22semidirect
82. #2593C22semidirect
83. #2588C22semidirect
84. #2582C22semidirect
85. #2578C22semidirect
86. #2573C22semidirect
87. #2572C22semidirect
88. #2571C22semidirect
89. #2568C22semidirect
90. #2566C22semidirect
91. #2564C22semidirect
92. #2563C22semidirect
93. #2563C22semidirect
95. #2559C22semidirect
96. #2558C22semidirect
97. #2557C22semidirect
98. #2557C22semidirect
99. #2551C22semidirect
103. #2545C22semidirect
106. #2544C22semidirect
107. #2544C22semidirect
110. #2538C22semidirect
112. #2513C22semidirect
113. #2513C22semidirect
114. #2513C22semidirect
115. #2513C22semidirect
116. #2513C22semidirect
117. #2512C22semidirect
118. #2512C22semidirect
119. #2511C22semidirect
120. #2510C22semidirect
121. #2510C22semidirect
122. #2509C22semidirect
123. #2509C22semidirect
124. #2509C22semidirect
125. #2504C22semidirect
126. #2503C22semidirect
129. #2495C22semidirect
132. #2491C22semidirect
134. #2490C22semidirect
135. #2490C22semidirect
136. #2488C22semidirect
137. #2481C22semidirect
138. #2481C22semidirect
143. #2477C22semidirect
144. #2477C22semidirect
146. #2471C22semidirect
147. #2470C22semidirect
148. #2467C22semidirect
149. #2466C22semidirect
150. #2466C22semidirect
151. #2461C22semidirect
152. #2459C22semidirect
153. #2459C22semidirect
154. #2459C22semidirect
155. #2457C22semidirect
156. #2457C22semidirect
157. #2454C22semidirect
158. #2454C22semidirect
159. #2453C22semidirect
160. #2452C22semidirect
161. #2452C22semidirect
162. #2452C22semidirect
163. #2448C22semidirect
164. #2448C22semidirect
165. #2448C22semidirect
166. #2447C22semidirect
167. #2447C22semidirect
168. #2447C22semidirect
172. #2445C22semidirect
173. #2445C22semidirect
174. #2444C22semidirect
179. #2432C22semidirect
182. #2427C22semidirect
184. #2426C22semidirect
185. #2425C22semidirect
186. #2422C22semidirect
189. #2420C22semidirect
190. #2420C22semidirect
192. #2415C22semidirect
197. #2401C22semidirect
199. #2395C22semidirect
200. #2374C22semidirect
201. #2369C22semidirect
202. #2367C22semidirect
203. #2367C22semidirect
204. #2367C22semidirect
211. #2366C22semidirect
212. #2366C22semidirect
213. #2364C22semidirect
215. #2361C22semidirect
216. #2361C22semidirect
217. #2361C22semidirect
218. #2359C22semidirect
220. #2357C22semidirect
221. #2357C22semidirect
222. #2357C22semidirect
223. #2357C22semidirect
224. #2355C22semidirect
225. #2355C22semidirect
227. Q8×C4⋊C4C22semidirect
228. #2349C22semidirect
229. #2349C22semidirect
230. #2349C22semidirect
231. D4×C4⋊C4C22semidirect
232. D4×C4⋊C4C22semidirect
234. #2341C22semidirect
235. #2339C22semidirect
243. #2336C22semidirect
244. #2336C22semidirect
247. #2330C22semidirect
250. #2327C22semidirect
251. #2324C22semidirect
252. #2324C22semidirect
253. #2324C22semidirect
256. #2322C22semidirect
258. #2320C22semidirect
259. #2320C22semidirect
262. C4×C4⋊Q8C22semidirect
267. C4×#127C22semidirect
268. C4×#125C22semidirect
269. C4×#125C22semidirect
270. C4×#125C22semidirect
271. C4×#125C22semidirect
274. C4×#124C22semidirect
275. C4×#124C22semidirect
276. C4×#124C22semidirect
277. C4×#124C22semidirect
278. C4×#124C22semidirect
282. C4×#123C22semidirect
284. C4×#121C22semidirect
285. #2298C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect
295. C42×Q8C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#597642
#596832
#596792
#596472
#594842
#594802
#594652
#594112
#592572
#592452
#591432
#591242
#452092
#451982
#451882
#451872
#442452
#441742
#404252
#400572
#400492
#385692
#364632
#362402
#356232
#356112
#352152
#351982
#349542
#349152
#343132
#343092
#342102
C4×#5592
C4×#5412