Finite Group Databasebeta

← #7671772

Subgroups — #7671772

Order 512.

5256 conjugacy classes of subgroups.

The subgroup lattice has 1727 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59592C212yesmaximal, complemented
2#59580C212yesmaximal, complemented
3#59532C214yesmaximal, complemented
4#59484C212yesmaximal, complemented
5#59382C212yesmaximal, complemented
6#59181C214yesmaximal, complemented
7#40253C214yesmaximal, complemented
8#40249C214yesmaximal, complemented
9#39080C212yesmaximal, complemented
10#39070C212yesmaximal, complemented
11#38941C211yesmaximal, characteristic, complemented
12#38932C211yesmaximal, characteristic, complemented
13#38921C211yesmaximal, characteristic, complemented
14#38910C211yesmaximal, characteristic
15#36631C211yesmaximal, characteristic, complemented
16#36537C212yesmaximal, complemented
17#36459C212yesmaximal, complemented
18#36407C211yesmaximal, characteristic, complemented
19#36393C212yesmaximal, complemented
20#36300C211yesmaximal, characteristic, complemented
21#36299C211yesmaximal, characteristic, complemented
22#36293C212yesmaximal, complemented
23#36289C211yesmaximal, characteristic, complemented
24#36262C212yesmaximal, complemented
25#36262C212yesmaximal, complemented
26#35590C212yesmaximal, complemented
27#35523C212yesmaximal, complemented
28#35299C212yesmaximal, complemented
29#35186C211yesmaximal, characteristic, complemented
30#35177C211yesmaximal, characteristic, complemented
31#34317C211yesmaximal, characteristic, complemented
32#34310C211yesmaximal, characteristic, complemented
33#34255C212yesmaximal, complemented
34C4×#529C211yesmaximal, characteristic, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#551C2214yescomplemented
38C2×D42C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×#529C2212yescomplemented
42C2×#518C2212yes—
43#2863C2212yescomplemented
44#2861C2212yescomplemented
45#2861C2212yescomplemented
46#2860C2212yescomplemented
47#2860C2212yescomplemented
48#2860C2212yescomplemented
49#2860C2212yescomplemented
50#2859C2211yescharacteristic, complemented
51#2858C2211yescharacteristic
52#2857C2211yescharacteristic, complemented
53#2857C2212yescomplemented
54#2857C2212yescomplemented
55#2856C2211yescharacteristic
56#2855C2212yescomplemented
57#2854C2212yescomplemented
58#2854C2212yescomplemented
59#2850C2212yes—
60#2850C2212yescomplemented
61#2793C2214yescomplemented
62#2773C2214yescomplemented
63#2764C2214yescomplemented
64#2751C2214yescomplemented
65#2750C2214yescomplemented
66#2743C2214yescomplemented
67#2740C2214yescomplemented
68#2737C2214yescomplemented
69#2736C2214yescomplemented
70#2735C2214yescomplemented
71#2698C2214yescomplemented
72#2687C2214yescomplemented
73#2686C2214yescomplemented
74#2685C2214yes—
75#2680C2214yescomplemented
76#2678C2214yes—
77#2665C2214yescomplemented
78#2651C2214yescomplemented
79#2647C2212yescomplemented
80#2640C2212yescomplemented
81#2625C2212yescomplemented
82#2624C2212yes—
83#2602C2214yescomplemented
84#2602C2214yescomplemented
85#2601C2214yescomplemented
86#2601C2214yescomplemented
87#2600C2214yescomplemented
88#2598C2214yescomplemented
89#2597C2214yescomplemented
90#2597C2214yescomplemented
91#2596C2214yescomplemented
92#2596C2214yescomplemented
93#2595C2214yescomplemented
94#2595C2214yescomplemented
95#2589C2214yescomplemented
96#2582C2211yescharacteristic, complemented
97#2578C2214yescomplemented
98#2578C2214yescomplemented
99#2577C2214yescomplemented
100#2575C2214yescomplemented
101#2574C2214yescomplemented
102#2572C2214yescomplemented
103#2567C2211yescharacteristic, complemented
104#2563C2211yescharacteristic
105#2563C2212yescomplemented
106#2562C2212yescomplemented
107#2561C2214yescomplemented
108#2561C2214yescomplemented
109#2560C2214yescomplemented
110#2560C2214yescomplemented
111#2560C2214yescomplemented
112#2557C2214yescomplemented
113#2557C2214yescomplemented
114#2556C2214yescomplemented
115#2552C2212yescomplemented
116#2552C2211yescharacteristic, complemented
117#2551C2211yescharacteristic, complemented
118#2548C2211yescharacteristic
119#2548C2211yescharacteristic
120#2540C2212yes—
121#2538C2211yescharacteristic
122#2534C2214yescomplemented
123#2534C2214yescomplemented
124#2532C2214yescomplemented
125#2532C2214yescomplemented
126#2531C2214yescomplemented
127#2526C2214yescomplemented
128#2521C2214yescomplemented
129#2515C2214yescomplemented
130#2513C2212yescomplemented
131#2513C2212yescomplemented
132#2512C2212yescomplemented
133#2512C2212yescomplemented
134#2509C2212yescomplemented
135#2509C2212yescomplemented
136#2504C2212yes—
137#2497C2212yescomplemented
138#2496C2214yescomplemented
139#2495C2212yescomplemented
140#2495C2212yescomplemented
141#2495C2212yescomplemented
142#2492C2212yescomplemented
143#2491C2212yescomplemented
144#2491C2212yescomplemented
145#2490C2212yes—
146#2490C2212yes—
147#2490C2212yes—
148#2489C2212yescomplemented
149#2486C2212yescomplemented
150#2486C2212yescomplemented
151#2485C2214yescomplemented
152#2482C2214yescomplemented
153#2480C2214yescomplemented
154#2480C2214yescomplemented
155#2479C2214yescomplemented
156#2478C2214yescomplemented
157#2477C2214yescomplemented
158#2475C2214yescomplemented
159#2474C2214yescomplemented
160#2472C2214yes—
161#2472C2214yes—
162#2468C2214yescomplemented
163#2466C2214yescomplemented
164#2465C2214yescomplemented
165#2457C2214yescomplemented
166#2455C2214yescomplemented
167#2454C2212yes—
168#2454C2212yescomplemented
169#2454C2212yescomplemented
170#2452C2212yes—
171#2452C2212yes—
172#2448C2212yescomplemented
173#2448C2212yescomplemented
174#2447C2212yes—
175#2447C2212yes—
176#2447C2214yescomplemented
177#2447C2212yescomplemented
178#2442C2212yescomplemented
179#2441C2212yescomplemented
180#2439C2212yescomplemented
181#2435C2212yes—
182#2435C2212yes—
183#2427C2212yescomplemented
184#2422C2212yes—
185#2422C2212yes—
186#2421C2212yescomplemented
187#2420C2212yescomplemented
188#2418C2214yescomplemented
189#2415C2212yescomplemented
190#2414C2212yes—
191#2408C2212yes—
192#2408C2212yes—
193#2374C2214yescomplemented
194#2370C2212yescomplemented
195#2370C2212yescomplemented
196#2369C2211yescharacteristic, complemented
197#2369C2212yescomplemented
198#2367C2212yescomplemented
199#2366C2211yescharacteristic
200#2363C2212yes—
201#2362C2212yescomplemented
202#2362C2214yescomplemented
203#2361C2212yes—
204#2360C2212yescomplemented
205#2358C2214yes—
206#2357C2212yes—
207#2357C2214yescomplemented
208#2357C2214yescomplemented
209#2355C2211yescharacteristic, complemented
210#2354C2211yescharacteristic
211#2354C2211yescharacteristic
212#2354C2214yescomplemented
213#2354C2214yescomplemented
214#2354C2212yescomplemented
215D4×C4⋊C4C2211yescharacteristic
216#2347C2214yescomplemented
217#2344C2212yescomplemented
218#2344C2212yescomplemented
219#2342C2214yescomplemented
220#2342C2214yescomplemented
221#2342C2214yescomplemented
222#2342C2214yescomplemented
223#2342C2214yescomplemented
224D4×C22⋊C4C2212yes—
225D4×C22⋊C4C2212yes—
226D4×C22⋊C4C2212yes—
227D4×C22⋊C4C2212yes—
228#2332C2214yescomplemented
229#2331C2212yescomplemented
230#2326C2212yescomplemented
231#2324C2212yes—
232#2323C2212yescomplemented
233#2321C2214yes—
234#2319C2212yes—
235#2319C2212yes—
236#2319C2212yescomplemented
237#2319C2212yescomplemented
238#2317C2212yescomplemented
239#2309C2212yes—
240C4×C4⋊Q8C2211yescharacteristic, complemented
241C4×#127C2211yescharacteristic
242C4×#125C2212yescomplemented
243C4×#125C2211yescharacteristic, complemented
244C4×#125C2211yescharacteristic, complemented
245C4×#125C2211yescharacteristic, complemented
246C4×#125C2211yescharacteristic, complemented
247C4×#126C2212yescomplemented
248C4×#126C2212yescomplemented
249C4×#126C2212yescomplemented
250C4×#126C2212yescomplemented
251C4×#124C2211yescharacteristic
252C4×#124C2211yescharacteristic
253C4×#124C2211yescharacteristic
254C4×#124C2211yescharacteristic
255C4×#124C2212yescomplemented
256C4×C22⋊Q8C2211yescharacteristic, complemented
257C4×C22⋊Q8C2211yescharacteristic, complemented
258C4×C22⋊Q8C2211yescharacteristic, complemented
259C4×C22⋊Q8C2211yescharacteristic, complemented
260C4×#123C2212yescomplemented
261C4×#123C2212yescomplemented
262C4×#123C2212yescomplemented
263C4×#123C2212yescomplemented
264C4×#121C2212yes—
265C4×#121C2211yescharacteristic
266C4×#121C2211yescharacteristic
267C4×#121C2211yescharacteristic
268C4×#121C2211yescharacteristic
269C4×#121C2212yescomplemented
270C4×#121C2212yescomplemented
271#2298C2212yescomplemented
272#2298C2212yescomplemented
273#2296C2212yescomplemented
274#2295C2211yescharacteristic, complemented
275#2295C2211yescharacteristic, complemented
276#2293C2211yescharacteristic
277#2293C2212yes—
278#2293C2212yes—
279#2293C2211yescharacteristic
280#2293C2212yescomplemented
281#2293C2212yescomplemented
282#2293C2212yescomplemented
283C2×#390C2212yes—
284C2×#390C2212yes—
285#2290C2212yescomplemented
286#2290C2212yescomplemented
287#2283C2211yescharacteristic, complemented
288#2283C2211yescharacteristic, complemented
289#2274C2212yescomplemented
290C42×Q8C2211yescharacteristic, complemented
291C42×Q8C2211yescharacteristic, complemented
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2212yescomplemented
295C42×D4C2212yescomplemented
296C4×#117C2212yescomplemented
297C4×#117C2212yescomplemented
298C2×C43C2211yescharacteristic, complemented
299C23×D4C2312yes—
300C23×D4C2312yes—
301#554—28no—
302#551—416no—
303D42—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#127C2311yescharacteristic
308#529—28no—
309#529—28no—
310#529—48no—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#120C2314yes—
349C2×#120C2314yes—
350#518—216no—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2314yes—
387C2×#117C2314yes—
388C2×#117C2314yes—
389C2×#117C2314yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C22⋊C4C2314yes—
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2314yes—
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2312yes—
405C22×C42C2311yescharacteristic
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#395C2314yes—
449#395C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#392C2314yes—
469#392C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#390C2314yes—
486#390C2314yes—
487#390C2314yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2311yescharacteristic
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2314yes—
509#390C2314yes—
510#390C2312yes—
511#390C2314yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
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#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2314yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2314yes—
678#384C2312yes—
679#383C2312yes—
680#383C2312yes—
681#383C2314yes—
682#383C2314yes—
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2314yes—
690#382C2312yes—
691#381C2314yes—
692#381C2314yes—
693#381C2314yes—
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2312yes—
699#381C2312yes—
700#380C2311yescharacteristic
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2311yescharacteristic
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#379C2314yes—
720#379C2314yes—
721#379C2314yes—
722#379C2314yes—
723#379C2314yes—
724#379C2314yes—
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⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C43C2311yescharacteristic
817C25C2414yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×D4—28no—
823C22×D4—28no—
824C22×D4—28no—
825C22×D4—44no—
826C22×D4—44no—
827C22×D4—44no—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C4⋊Q8—24no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858#127—24no—
859#126—28no—
860#126—28no—
861#126—48no—
862#126—48no—
863#126—48no—
864#125—24no—
865#125—24no—
866#125—28no—
867#125—44no—
868#125—44no—
869#124—24no—
870#124—24no—
871#124—44no—
872#124—44no—
873#124—44no—
874#124—44no—
875#124—48no—
876#123—216no—
877#123—28no—
878#123—28no—
879#123—48no—
880#123—48no—
881C22⋊Q8—28no—
882C22⋊Q8—24no—
883C22⋊Q8—24no—
884C22⋊Q8—216no—
885C22⋊Q8—44no—
886C22⋊Q8—48no—
887C22⋊Q8—48no—
888C22⋊Q8—44no—
889#121—24no—
890#121—24no—
891#121—28no—
892#121—28no—
893#121—44no—
894#121—44no—
895#121—44no—
896#120—216no—
897#120—48no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—44no—
902C4×Q8—42no—
903C4×Q8—42no—
904C4×Q8—42no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—216no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—216no—
914C4×D4—28no—
915C4×D4—24no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—42no—
919C4×D4—42no—
920C4×D4—42no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—48no—
925C4×D4#4118yes—
926C4×D4#4118yes—
927#117—28no—
928#117—28no—
929#117—28no—
930#117—28no—
931#117—44no—
932#117—48no—
933#117—48no—
934#117—48no—
935#117—48no—
936#117—44no—
937C2×C4⋊C4—28no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C22⋊C4—216no—
997C2×C22⋊C4—216no—
998C2×C22⋊C4—48no—
999C2×C22⋊C4—48no—
1000C2×C22⋊C4—48no—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C42—24no—
1061C2×C42—24no—
1062C2×C42—24no—
1063C2×C42—42no—
1064C2×C42—42no—
1065C2×C42—44no—
1066C2×C42—44no—
1067C2×C42—42no—
1068C2×C42—42no—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
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#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184C24—28no—
1185C24—28no—
1186C24—44no—
1187C24—44no—
1188C24—44no—
1189C24—44no—
1190C24—44no—
1191C24C2514yes—
1192C24C2512yes—
1193C24C2512yes—
1194C24C2511yescharacteristic
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—24no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—42no—
1203C2×Q8—42no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×D4—28no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—28no—
1213C2×D4—28no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—432no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—816no—
1237C2×D4C2×#4114yes—
1238C2×D4C2×#4114yes—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—28no—
1259C22×C4—28no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4C2×#4118yes—
1288C22×C4C2×#4118yes—
1289C22×C4H(5,𝔽2)14yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2514yes—
1306C22×C4C2514yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C4⋊C4—22no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—28no—
1341C4⋊C4—28no—
1342C4⋊C4—28no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4C2×#4114yes—
1377C4⋊C4C2×#4114yes—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
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—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4C2×#4118yes—
1436C22⋊C4C2×#4118yes—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—28no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—24no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—24no—
1453C42—24no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—24no—
1462C42—22no—
1463C42—24no—
1464C42—24no—
1465C42—24no—
1466C42—41no—
1467C42—41no—
1468C42—42no—
1469C42—41no—
1470C42—41no—
1471C42—42no—
1472C42—42no—
1473C42—41no—
1474C42—41no—
1475C42—42no—
1476C42—41no—
1477C42—41no—
1478C42—42no—
1479C42—44no—
1480C42—44no—
1481C42—44no—
1482C42—44no—
1483C42—42no—
1484C42—42no—
1485C42—42no—
1486C42C2×#4114yes—
1487C42C2×#4114yes—
1488C23—22no—
1489C23—21no—
1490C23—21no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—21no—
1496C23—21no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—21no—
1505C23—21no—
1506C23—24no—
1507C23—24no—
1508C23—24no—
1509C23—24no—
1510C23—24no—
1511C23—24no—
1512C23—24no—
1513C23—416no—
1514C23—88no—
1515C23—88no—
1516C23—88no—
1517C23—88no—
1518C23—164no—
1519C23—164no—
1520C23C22×#4114yes—
1521C23C22×#4114yes—
1522C23C2×H(5,𝔽2)12yes—
1523C23C2611yescharacteristic
1524Q8—44no—
1525Q8—44no—
1526Q8—84no—
1527Q8—164no—
1528D4—28no—
1529D4—28no—
1530D4—416no—
1531D4—48no—
1532D4—48no—
1533D4—48no—
1534D4—48no—
1535D4—84no—
1536D4—88no—
1537D4—88no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—216no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—48no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—48no—
1627C2×C4—88no—
1628C2×C4—88no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—84no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4C22×#4112yes—
1635C2×C4C22×#4114yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4114yes—
1639C2×C4C22×#4112yes—
1640C2×C4C22×#4112yes—
1641C2×C4C22×#4112yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×H(5,𝔽2)12yes—
1644C2×C4#58512yes—
1645C2×C4#58512yes—
1646C2×C4#58512yes—
1647C2×C4#58512yes—
1648C22—24no—
1649C22—22no—
1650C22—22no—
1651C22—24no—
1652C22—24no—
1653C22—24no—
1654C22—22no—
1655C22—24no—
1656C22—24no—
1657C22—41no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—41no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—41no—
1666C22—42no—
1667C22—42no—
1668C22—41no—
1669C22—44no—
1670C22—44no—
1671C22—44no—
1672C22—44no—
1673C22—44no—
1674C22—44no—
1675C22—44no—
1676C22—1616no—
1677C22C23×#4111yescharacteristic
1678C22C23×#4111yescharacteristic
1679C22C22×H(5,𝔽2)11yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C4—22no—
1685C4—24no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—24no—
1692C4—41no—
1693C4—42no—
1694C4—41no—
1695C4—41no—
1696C4—42no—
1697C4—44no—
1698C4—42no—
1699C4—44no—
1700C4—42no—
1701C4—42no—
1702C4—41no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—44no—
1708C4—42no—
1709C4—41no—
1710C4—42no—
1711C4—41no—
1712C4—42no—
1713C4#347514yes—
1714C4#351014yes—
1715C2—42no—
1716C2—44no—
1717C2—44no—
1718C2—84no—
1719C2C2×#347511yescharacteristic
1720C2#6278111yescharacteristic
1721C2#6280011yescharacteristic
1722C2#6280011yescharacteristic
1723C2C2×#351011yescharacteristic
1724C2#6282211yescharacteristic
1725C2#6282711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38910C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59592C2semidirect
2. #59580C2semidirect
3. #59532C2semidirect
4. #59484C2semidirect
5. #59382C2semidirect
6. #59181C2semidirect
7. #40253C2semidirect
8. #40249C2semidirect
9. #39080C2semidirect
10. #39070C2semidirect
11. #38941C2semidirect
12. #38932C2semidirect
13. #38921C2semidirect
15. #36631C2semidirect
16. #36537C2semidirect
17. #36459C2semidirect
18. #36407C2semidirect
19. #36393C2semidirect
20. #36300C2semidirect
21. #36299C2semidirect
22. #36293C2semidirect
23. #36289C2semidirect
24. #36262C2semidirect
25. #36262C2semidirect
26. #35590C2semidirect
27. #35523C2semidirect
28. #35299C2semidirect
29. #35186C2semidirect
30. #35177C2semidirect
31. #34317C2semidirect
32. #34310C2semidirect
33. #34255C2semidirect
34. C4×#529C2semidirect
35. C4×#529C2semidirect
37. C2×#551C22semidirect
41. C2×#529C22semidirect
43. #2863C22semidirect
44. #2861C22semidirect
45. #2861C22semidirect
46. #2860C22semidirect
47. #2860C22semidirect
48. #2860C22semidirect
49. #2860C22semidirect
50. #2859C22semidirect
52. #2857C22semidirect
53. #2857C22semidirect
54. #2857C22semidirect
56. #2855C22semidirect
57. #2854C22semidirect
58. #2854C22semidirect
60. #2850C22semidirect
61. #2793C22semidirect
62. #2773C22semidirect
63. #2764C22semidirect
64. #2751C22semidirect
65. #2750C22semidirect
66. #2743C22semidirect
67. #2740C22semidirect
68. #2737C22semidirect
69. #2736C22semidirect
70. #2735C22semidirect
71. #2698C22semidirect
72. #2687C22semidirect
73. #2686C22semidirect
75. #2680C22semidirect
77. #2665C22semidirect
78. #2651C22semidirect
79. #2647C22semidirect
80. #2640C22semidirect
81. #2625C22semidirect
83. #2602C22semidirect
84. #2602C22semidirect
85. #2601C22semidirect
86. #2601C22semidirect
87. #2600C22semidirect
88. #2598C22semidirect
89. #2597C22semidirect
90. #2597C22semidirect
91. #2596C22semidirect
92. #2596C22semidirect
93. #2595C22semidirect
94. #2595C22semidirect
95. #2589C22semidirect
96. #2582C22semidirect
97. #2578C22semidirect
98. #2578C22semidirect
99. #2577C22semidirect
100. #2575C22semidirect
101. #2574C22semidirect
102. #2572C22semidirect
103. #2567C22semidirect
105. #2563C22semidirect
106. #2562C22semidirect
107. #2561C22semidirect
108. #2561C22semidirect
109. #2560C22semidirect
110. #2560C22semidirect
111. #2560C22semidirect
112. #2557C22semidirect
113. #2557C22semidirect
114. #2556C22semidirect
115. #2552C22semidirect
116. #2552C22semidirect
117. #2551C22semidirect
122. #2534C22semidirect
123. #2534C22semidirect
124. #2532C22semidirect
125. #2532C22semidirect
126. #2531C22semidirect
127. #2526C22semidirect
128. #2521C22semidirect
129. #2515C22semidirect
130. #2513C22semidirect
131. #2513C22semidirect
132. #2512C22semidirect
133. #2512C22semidirect
134. #2509C22semidirect
135. #2509C22semidirect
137. #2497C22semidirect
138. #2496C22semidirect
139. #2495C22semidirect
140. #2495C22semidirect
141. #2495C22semidirect
142. #2492C22semidirect
143. #2491C22semidirect
144. #2491C22semidirect
148. #2489C22semidirect
149. #2486C22semidirect
150. #2486C22semidirect
151. #2485C22semidirect
152. #2482C22semidirect
153. #2480C22semidirect
154. #2480C22semidirect
155. #2479C22semidirect
156. #2478C22semidirect
157. #2477C22semidirect
158. #2475C22semidirect
159. #2474C22semidirect
162. #2468C22semidirect
163. #2466C22semidirect
164. #2465C22semidirect
165. #2457C22semidirect
166. #2455C22semidirect
168. #2454C22semidirect
169. #2454C22semidirect
172. #2448C22semidirect
173. #2448C22semidirect
176. #2447C22semidirect
177. #2447C22semidirect
178. #2442C22semidirect
179. #2441C22semidirect
180. #2439C22semidirect
183. #2427C22semidirect
186. #2421C22semidirect
187. #2420C22semidirect
188. #2418C22semidirect
189. #2415C22semidirect
193. #2374C22semidirect
194. #2370C22semidirect
195. #2370C22semidirect
196. #2369C22semidirect
197. #2369C22semidirect
198. #2367C22semidirect
201. #2362C22semidirect
202. #2362C22semidirect
204. #2360C22semidirect
207. #2357C22semidirect
208. #2357C22semidirect
209. #2355C22semidirect
212. #2354C22semidirect
213. #2354C22semidirect
214. #2354C22semidirect
216. #2347C22semidirect
217. #2344C22semidirect
218. #2344C22semidirect
219. #2342C22semidirect
220. #2342C22semidirect
221. #2342C22semidirect
222. #2342C22semidirect
223. #2342C22semidirect
228. #2332C22semidirect
229. #2331C22semidirect
230. #2326C22semidirect
232. #2323C22semidirect
236. #2319C22semidirect
237. #2319C22semidirect
238. #2317C22semidirect
240. C4×C4⋊Q8C22semidirect
242. C4×#125C22semidirect
243. C4×#125C22semidirect
244. C4×#125C22semidirect
245. C4×#125C22semidirect
246. C4×#125C22semidirect
247. C4×#126C22semidirect
248. C4×#126C22semidirect
249. C4×#126C22semidirect
250. C4×#126C22semidirect
255. C4×#124C22semidirect
256. C4×C22⋊Q8C22semidirect
257. C4×C22⋊Q8C22semidirect
258. C4×C22⋊Q8C22semidirect
259. C4×C22⋊Q8C22semidirect
260. C4×#123C22semidirect
261. C4×#123C22semidirect
262. C4×#123C22semidirect
263. C4×#123C22semidirect
269. C4×#121C22semidirect
270. C4×#121C22semidirect
271. #2298C22semidirect
272. #2298C22semidirect
273. #2296C22semidirect
274. #2295C22semidirect
275. #2295C22semidirect
280. #2293C22semidirect
281. #2293C22semidirect
282. #2293C22semidirect
285. #2290C22semidirect
286. #2290C22semidirect
287. #2283C22semidirect
288. #2283C22semidirect
289. #2274C22semidirect
290. C42×Q8C22semidirect
291. C42×Q8C22semidirect
294. C42×D4C22semidirect
295. C42×D4C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C2×C43C22semidirect

Maximal subgroups

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

subgroupindex
#595922
#595802
#595322
#594842
#593822
#591812
#402532
#402492
#390802
#390702
#389412
#389322
#389212
#389102
#366312
#365372
#364592
#364072
#363932
#363002
#362992
#362932
#362892
#362622
#355902
#355232
#352992
#351862
#351772
#343172
#343102
#342552
C4×#5292