Finite Group Databasebeta

← #7677790

Subgroups — #7677790

Order 512.

5246 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59639C211yesmaximal, characteristic, complemented
2#59457C211yesmaximal, characteristic, complemented
3#59437C211yesmaximal, characteristic, complemented
4#59424C212yesmaximal, complemented
5#59420C211yesmaximal, characteristic, complemented
6#59397C212yesmaximal, complemented
7#59305C211yesmaximal, characteristic, complemented
8#59302C211yesmaximal, characteristic, complemented
9#59260C212yesmaximal, complemented
10#59208C212yesmaximal, complemented
11#59064C211yesmaximal, characteristic, complemented
12#59035C211yesmaximal, characteristic
13#45173C212yesmaximal, complemented
14#45171C212yesmaximal, complemented
15#45129C212yesmaximal, complemented
16#45108C212yesmaximal, complemented
17#43818C214yesmaximal, complemented
18#43796C214yesmaximal, complemented
19#40424C214yesmaximal, complemented
20#40056C212yesmaximal, complemented
21#40048C212yesmaximal, complemented
22#38568C214yesmaximal, complemented
23#36453C212yesmaximal, complemented
24#36240C212yesmaximal, complemented
25#35625C212yesmaximal, complemented
26#35624C212yesmaximal, complemented
27#35214C212yesmaximal, complemented
28#35209C211yesmaximal, characteristic, complemented
29#34945C211yesmaximal, characteristic, complemented
30#34915C211yesmaximal, characteristic, complemented
31#34310C211yesmaximal, characteristic, complemented
32#34309C212yesmaximal, complemented
33#34207C211yesmaximal, characteristic, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#542C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#546C2212yes—
38C2×D42C2211yescharacteristic
39C2×#542C2211yescharacteristic
40C2×#541C2212yescomplemented
41C2×#532C2211yescharacteristic
42C2×#520C2212yescomplemented
43C2×#518C2212yes—
44#2860C2212yes—
45#2859C2212yescomplemented
46#2855C2214yescomplemented
47#2852C2214yescomplemented
48#2798C2214yescomplemented
49#2793C2214yescomplemented
50#2790C2214yescomplemented
51#2787C2214yescomplemented
52#2786C2214yescomplemented
53#2782C2214yescomplemented
54#2781C2214yescomplemented
55#2780C2214yescomplemented
56#2778C2214yescomplemented
57#2770C2214yescomplemented
58#2757C2214yescomplemented
59#2750C2214yescomplemented
60#2749C2214yescomplemented
61#2744C2214yescomplemented
62#2743C2214yescomplemented
63#2740C2214yescomplemented
64#2735C2214yescomplemented
65#2708C2214yescomplemented
66#2708C2214yescomplemented
67#2697C2214yes—
68#2695C2214yescomplemented
69#2687C2214yescomplemented
70#2684C2214yescomplemented
71#2668C2214yes—
72#2664C2214yescomplemented
73#2653C2214yescomplemented
74#2652C2214yescomplemented
75#2611C2214yescomplemented
76#2603C2214yescomplemented
77#2601C2214yescomplemented
78#2597C2212yescomplemented
79#2596C2214yescomplemented
80#2596C2212yescomplemented
81#2595C2212yescomplemented
82#2594C2212yescomplemented
83#2592C2212yes—
84#2580C2212yescomplemented
85#2579C2214yescomplemented
86#2578C2214yescomplemented
87#2577C2214yescomplemented
88#2577C2214yescomplemented
89#2577C2214yescomplemented
90#2576C2214yescomplemented
91#2576C2214yescomplemented
92#2573C2214yescomplemented
93#2571C2211yescharacteristic, complemented
94#2570C2212yescomplemented
95#2569C2214yescomplemented
96#2568C2211yescharacteristic, complemented
97#2566C2212yes—
98#2566C2212yescomplemented
99#2566C2212yescomplemented
100#2562C2214yescomplemented
101#2560C2214yescomplemented
102#2552C2211yescharacteristic, complemented
103#2547C2212yes—
104#2547C2211yescharacteristic
105#2547C2212yescomplemented
106#2546C2211yescharacteristic, complemented
107#2542C2211yescharacteristic
108#2538C2211yescharacteristic
109#2538C2211yescharacteristic
110#2538C2212yescomplemented
111#2537C2212yes—
112#2534C2214yes—
113#2534C2214yescomplemented
114#2527C2214yescomplemented
115#2526C2214yescomplemented
116#2519C2214yescomplemented
117#2514C2212yescomplemented
118#2514C2212yescomplemented
119#2513C2212yes—
120#2513C2211yescharacteristic
121#2512C2212yes—
122#2512C2212yes—
123#2511C2212yescomplemented
124#2510C2214yescomplemented
125#2510C2214yescomplemented
126#2509C2211yescharacteristic, complemented
127#2507C2212yescomplemented
128#2506C2212yescomplemented
129#2504C2212yes—
130#2502C2212yescomplemented
131#2499C2212yescomplemented
132#2499C2212yescomplemented
133#2497C2212yescomplemented
134#2496C2212yescomplemented
135#2495C2212yescomplemented
136#2494C2214yescomplemented
137#2494C2212yescomplemented
138#2494C2211yescharacteristic, complemented
139#2494C2212yescomplemented
140#2493C2214yescomplemented
141#2492C2212yescomplemented
142#2490C2211yescharacteristic
143#2489C2212yescomplemented
144#2483C2214yescomplemented
145#2481C2214yescomplemented
146#2481C2214yescomplemented
147#2480C2214yescomplemented
148#2480C2214yescomplemented
149#2480C2214yescomplemented
150#2480C2214yescomplemented
151#2480C2214yescomplemented
152#2480C2214yescomplemented
153#2480C2214yescomplemented
154#2473C2214yescomplemented
155#2467C2214yescomplemented
156#2460C2214yescomplemented
157#2460C2214yescomplemented
158#2460C2214yescomplemented
159#2460C2214yescomplemented
160#2460C2214yescomplemented
161#2454C2212yescomplemented
162#2453C2211yescharacteristic, complemented
163#2452C2212yescomplemented
164#2450C2214yescomplemented
165#2448C2211yescharacteristic
166#2447C2212yes—
167#2447C2212yescomplemented
168#2447C2212yescomplemented
169#2446C2212yescomplemented
170#2442C2212yescomplemented
171#2442C2212yescomplemented
172#2437C2214yescomplemented
173#2435C2212yes—
174#2435C2212yes—
175#2435C2212yes—
176#2432C2212yescomplemented
177#2429C2212yescomplemented
178#2427C2212yes—
179#2427C2212yes—
180#2427C2212yes—
181#2427C2212yescomplemented
182#2427C2214yescomplemented
183#2426C2211yescharacteristic
184#2422C2212yes—
185#2421C2211yescharacteristic, complemented
186#2421C2212yescomplemented
187#2421C2212yescomplemented
188#2420C2212yes—
189#2420C2212yes—
190#2420C2212yescomplemented
191#2419C2214yescomplemented
192#2418C2214yes—
193#2417C2212yescomplemented
194#2417C2212yescomplemented
195#2408C2212yes—
196#2407C2212yes—
197#2401C2214yescomplemented
198#2401C2212yescomplemented
199#2395C2212yescomplemented
200#2374C2214yescomplemented
201#2367C2212yes—
202#2367C2212yescomplemented
203#2367C2212yescomplemented
204#2366C2211yescharacteristic
205#2366C2211yescharacteristic
206#2364C2214yescomplemented
207#2363C2212yes—
208#2362C2212yescomplemented
209#2361C2212yes—
210#2361C2212yes—
211#2361C2212yescomplemented
212#2361C2212yescomplemented
213#2361C2212yescomplemented
214#2361C2212yescomplemented
215#2359C2214yescomplemented
216#2358C2214yes—
217#2358C2214yescomplemented
218#2357C2212yescomplemented
219#2357C2212yescomplemented
220#2355C2211yescharacteristic, complemented
221#2355C2212yescomplemented
222#2355C2211yescharacteristic, complemented
223#2354C2211yescharacteristic
224#2354C2212yescomplemented
225#2354C2212yescomplemented
226#2352C2212yescomplemented
227#2349C2212yescomplemented
228#2349C2212yescomplemented
229#2349C2212yescomplemented
230D4×C4⋊C4C2211yescharacteristic
231D4×C4⋊C4C2212yescomplemented
232D4×C4⋊C4C2212yescomplemented
233D4×C4⋊C4C2212yescomplemented
234#2345C2212yescomplemented
235#2345C2212yescomplemented
236#2342C2214yescomplemented
237#2339C2212yescomplemented
238D4×C22⋊C4C2212yes—
239D4×C22⋊C4C2212yes—
240D4×C22⋊C4C2212yes—
241D4×C22⋊C4C2212yes—
242D4×C22⋊C4C2212yes—
243#2337C2212yescomplemented
244#2335C2212yescomplemented
245#2334C2212yescomplemented
246#2332C2212yescomplemented
247#2331C2211yescharacteristic, complemented
248#2326C2211yescharacteristic
249#2326C2212yescomplemented
250#2326C2212yescomplemented
251#2324C2211yescharacteristic
252#2324C2212yes—
253#2323C2212yescomplemented
254#2323C2211yescharacteristic, complemented
255#2322C2214yescomplemented
256#2321C2214yes—
257#2321C2214yescomplemented
258#2320C2211yescharacteristic, complemented
259#2319C2211yescharacteristic
260#2314C2211yescharacteristic, complemented
261#2311C2212yescomplemented
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×#127C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#125C2211yescharacteristic, complemented
268C4×#126C2212yescomplemented
269C4×#124C2212yes—
270C4×#124C2211yescharacteristic
271C4×#124C2211yescharacteristic
272C4×#124C2212yescomplemented
273C4×#124C2212yescomplemented
274C4×#124C2212yescomplemented
275C4×C22⋊Q8C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2211yescharacteristic, complemented
278C4×C22⋊Q8C2211yescharacteristic, complemented
279C4×#123C2212yescomplemented
280C4×#123C2214yescomplemented
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2214yescomplemented
285#2298C2212yescomplemented
286#2295C2212yescomplemented
287#2293C2211yescharacteristic
288#2293C2212yescomplemented
289C2×#390C2212yes—
290C2×#388C2214yescomplemented
291C2×#384C2211yescharacteristic, complemented
292#2283C2212yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2212yescomplemented
297C42×D4C2212yescomplemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302#559—28no—
303#546—216no—
304D42—28no—
305#542—28no—
306#541—48no—
307#532—28no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×#127C2311yescharacteristic
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2314yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#124C2311yescharacteristic
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#123C2314yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#120C2314yes—
346C2×#120C2314yes—
347#520—48no—
348#518—48no—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2311yescharacteristic
387C2×#117C2314yes—
388C2×#117C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2314yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2314yes—
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401C22×C42C2314yes—
402#401C2312yes—
403#401C2314yes—
404#401C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#400C2314yes—
418#400C2314yes—
419#399C2314yes—
420#399C2312yes—
421#399C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#393C2314yes—
480#393C2314yes—
481#392C2314yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2314yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2311yescharacteristic
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2314yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#383C2312yes—
698#383C2314yes—
699#383C2314yes—
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2311yescharacteristic
710#381C2314yes—
711#381C2312yes—
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2311yescharacteristic
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#379C2314yes—
740#379C2314yes—
741#379C2314yes—
742#379C2314yes—
743#379C2314yes—
744#379C2314yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809#376C2311yescharacteristic
810#376C2311yescharacteristic
811#376C2314yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2312yes—
818C25C2414yes—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×D4—28no—
827C22×D4—28no—
828C22×D4—28no—
829C22×D4—44no—
830C22×D4—44no—
831C22×D4—44no—
832C22×D4C2411yescharacteristic
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8—44no—
860#127#4118yes—
861#126—28no—
862#126—48no—
863#126—48no—
864#126—84no—
865#125—42no—
866#125—44no—
867#125—48no—
868#125—48no—
869#124—28no—
870#124—24no—
871#124—28no—
872#124—28no—
873#124—28no—
874#124—28no—
875#124—42no—
876#123—28no—
877#123—216no—
878#123—216no—
879C22⋊Q8—24no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—44no—
883C22⋊Q8—42no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—84no—
887#121—28no—
888#121—28no—
889#121—28no—
890#121—28no—
891#121—216no—
892#121—42no—
893#121#4118yes—
894#120—216no—
895#120—216no—
896C4×Q8—24no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—28no—
900C4×Q8—24no—
901C4×Q8—44no—
902C4×Q8—42no—
903C4×Q8—42no—
904C4×Q8—44no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—24no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—28no—
916C4×D4—48no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—48no—
926C4×D4—48no—
927C4×D4—48no—
928C4×D4—84no—
929C4×D4—82no—
930C4×D4—82no—
931#117—24no—
932#117—28no—
933#117—24no—
934#117—48no—
935#117—44no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—48no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—82no—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C22⋊C4—216no—
1005C2×C22⋊C4—48no—
1006C2×C22⋊C4—48no—
1007C2×C22⋊C4—84no—
1008C2×C22⋊C4—84no—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C42—24no—
1071C2×C42—44no—
1072C2×C42—84no—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182C24—28no—
1183C24—28no—
1184C24—44no—
1185C24—44no—
1186C24—44no—
1187C24—44no—
1188C24—44no—
1189C24C2512yes—
1190C24C2512yes—
1191C24C2514yes—
1192C24C2511yescharacteristic
1193#41—432no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×D4—28no—
1207C2×D4—28no—
1208C2×D4—28no—
1209C2×D4—28no—
1210C2×D4—24no—
1211C2×D4—28no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—42no—
1231C2×D4—432no—
1232C2×D4—816no—
1233C2×D4C2×#4118yes—
1234C2×D4C2×#4118yes—
1235C2×D4C2×#4114yes—
1236C2×D4C2×#4118yes—
1237C2×D4C2×#4118yes—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—28no—
1241C22×C4—28no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—28no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—28no—
1255C22×C4—24no—
1256C22×C4—28no—
1257C22×C4—44no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4C2×#4114yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2514yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—28no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—28no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4C2×#4114yes—
1377C22⋊C4—28no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—28no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4C2×#4118yes—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—24no—
1444C42—24no—
1445C42—24no—
1446C42—24no—
1447C42—22no—
1448C42—24no—
1449C42—28no—
1450C42—24no—
1451C42—22no—
1452C42—24no—
1453C42—22no—
1454C42—24no—
1455C42—22no—
1456C42—22no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—42no—
1461C42—44no—
1462C42—44no—
1463C42—41no—
1464C42—42no—
1465C42—41no—
1466C42—42no—
1467C42—44no—
1468C42—44no—
1469C42—41no—
1470C42—41no—
1471C42—42no—
1472C42—42no—
1473C42C2×#4114yes—
1474C42H(5,𝔽2)14yes—
1475C23—24no—
1476C23—22no—
1477C23—21no—
1478C23—21no—
1479C23—24no—
1480C23—22no—
1481C23—21no—
1482C23—22no—
1483C23—24no—
1484C23—24no—
1485C23—22no—
1486C23—21no—
1487C23—24no—
1488C23—22no—
1489C23—21no—
1490C23—21no—
1491C23—22no—
1492C23—24no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—416no—
1501C23—88no—
1502C23—88no—
1503C23—88no—
1504C23—88no—
1505C23—164no—
1506C23—164no—
1507C23C22×#4114yes—
1508C23C22×#4118yes—
1509C23C22×#4112yes—
1510C23C2611yescharacteristic
1511Q8—44no—
1512Q8—48no—
1513Q8—44no—
1514Q8—84no—
1515D4—28no—
1516D4—216no—
1517D4—216no—
1518D4—48no—
1519D4—48no—
1520D4—416no—
1521D4—416no—
1522D4—44no—
1523D4—84no—
1524D4—88no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—28no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—416no—
1609C2×C4—44no—
1610C2×C4—48no—
1611C2×C4—44no—
1612C2×C4—48no—
1613C2×C4—88no—
1614C2×C4—84no—
1615C2×C4—88no—
1616C2×C4—84no—
1617C2×C4—88no—
1618C2×C4—164no—
1619C2×C4—164no—
1620C2×C4—164no—
1621C2×C4—164no—
1622C2×C4C22×#4112yes—
1623C2×C4C22×#4114yes—
1624C2×C4C22×#4112yes—
1625C2×C4C22×#4112yes—
1626C2×C4C22×#4112yes—
1627C2×C4C22×#4112yes—
1628C2×C4C2×H(5,𝔽2)12yes—
1629C2×C4C2×H(5,𝔽2)12yes—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4#58512yes—
1632C2×C4#58512yes—
1633C22—24no—
1634C22—22no—
1635C22—22no—
1636C22—24no—
1637C22—28no—
1638C22—28no—
1639C22—22no—
1640C22—28no—
1641C22—24no—
1642C22—44no—
1643C22—44no—
1644C22—41no—
1645C22—42no—
1646C22—41no—
1647C22—42no—
1648C22—42no—
1649C22—44no—
1650C22—41no—
1651C22—44no—
1652C22—41no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—1616no—
1662C22C23×#4111yescharacteristic
1663C22C23×#4111yescharacteristic
1664C22C22×H(5,𝔽2)11yescharacteristic
1665C22C2×#58511yescharacteristic
1666C22C2×#58511yescharacteristic
1667C22H(7,𝔽2)11yescharacteristic
1668C222−1+611yescharacteristic
1669C4—24no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—42no—
1675C4—41no—
1676C4—42no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—42no—
1681C4—41no—
1682C4—42no—
1683C4—42no—
1684C4—41no—
1685C4—42no—
1686C4—42no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—44no—
1692C4—42no—
1693C4—44no—
1694C4—41no—
1695C4—42no—
1696C4—44no—
1697C4—42no—
1698C4#348114yes—
1699C4#352114yes—
1700C2—42no—
1701C2—48no—
1702C2—44no—
1703C2—82no—
1704C2C2×#348111yescharacteristic
1705C2C2×#352111yescharacteristic
1706C2#6284711yescharacteristic
1707C2#6293111yescharacteristic
1708C2#6296111yescharacteristic
1709C2#6299211yescharacteristic
1710C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59035C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59639C2semidirect
2. #59457C2semidirect
3. #59437C2semidirect
4. #59424C2semidirect
5. #59420C2semidirect
6. #59397C2semidirect
7. #59305C2semidirect
8. #59302C2semidirect
9. #59260C2semidirect
10. #59208C2semidirect
11. #59064C2semidirect
13. #45173C2semidirect
14. #45171C2semidirect
15. #45129C2semidirect
16. #45108C2semidirect
17. #43818C2semidirect
18. #43796C2semidirect
19. #40424C2semidirect
20. #40056C2semidirect
21. #40048C2semidirect
22. #38568C2semidirect
23. #36453C2semidirect
24. #36240C2semidirect
25. #35625C2semidirect
26. #35624C2semidirect
27. #35214C2semidirect
28. #35209C2semidirect
29. #34945C2semidirect
30. #34915C2semidirect
31. #34310C2semidirect
32. #34309C2semidirect
33. #34207C2semidirect
34. C4×#559C2semidirect
35. C4×#542C2semidirect
40. C2×#541C22semidirect
42. C2×#520C22semidirect
45. #2859C22semidirect
46. #2855C22semidirect
47. #2852C22semidirect
48. #2798C22semidirect
49. #2793C22semidirect
50. #2790C22semidirect
51. #2787C22semidirect
52. #2786C22semidirect
53. #2782C22semidirect
54. #2781C22semidirect
55. #2780C22semidirect
56. #2778C22semidirect
57. #2770C22semidirect
58. #2757C22semidirect
59. #2750C22semidirect
60. #2749C22semidirect
61. #2744C22semidirect
62. #2743C22semidirect
63. #2740C22semidirect
64. #2735C22semidirect
65. #2708C22semidirect
66. #2708C22semidirect
68. #2695C22semidirect
69. #2687C22semidirect
70. #2684C22semidirect
72. #2664C22semidirect
73. #2653C22semidirect
74. #2652C22semidirect
75. #2611C22semidirect
76. #2603C22semidirect
77. #2601C22semidirect
78. #2597C22semidirect
79. #2596C22semidirect
80. #2596C22semidirect
81. #2595C22semidirect
82. #2594C22semidirect
84. #2580C22semidirect
85. #2579C22semidirect
86. #2578C22semidirect
87. #2577C22semidirect
88. #2577C22semidirect
89. #2577C22semidirect
90. #2576C22semidirect
91. #2576C22semidirect
92. #2573C22semidirect
93. #2571C22semidirect
94. #2570C22semidirect
95. #2569C22semidirect
96. #2568C22semidirect
98. #2566C22semidirect
99. #2566C22semidirect
100. #2562C22semidirect
101. #2560C22semidirect
102. #2552C22semidirect
105. #2547C22semidirect
106. #2546C22semidirect
110. #2538C22semidirect
113. #2534C22semidirect
114. #2527C22semidirect
115. #2526C22semidirect
116. #2519C22semidirect
117. #2514C22semidirect
118. #2514C22semidirect
123. #2511C22semidirect
124. #2510C22semidirect
125. #2510C22semidirect
126. #2509C22semidirect
127. #2507C22semidirect
128. #2506C22semidirect
130. #2502C22semidirect
131. #2499C22semidirect
132. #2499C22semidirect
133. #2497C22semidirect
134. #2496C22semidirect
135. #2495C22semidirect
136. #2494C22semidirect
137. #2494C22semidirect
138. #2494C22semidirect
139. #2494C22semidirect
140. #2493C22semidirect
141. #2492C22semidirect
143. #2489C22semidirect
144. #2483C22semidirect
145. #2481C22semidirect
146. #2481C22semidirect
147. #2480C22semidirect
148. #2480C22semidirect
149. #2480C22semidirect
150. #2480C22semidirect
151. #2480C22semidirect
152. #2480C22semidirect
153. #2480C22semidirect
154. #2473C22semidirect
155. #2467C22semidirect
156. #2460C22semidirect
157. #2460C22semidirect
158. #2460C22semidirect
159. #2460C22semidirect
160. #2460C22semidirect
161. #2454C22semidirect
162. #2453C22semidirect
163. #2452C22semidirect
164. #2450C22semidirect
167. #2447C22semidirect
168. #2447C22semidirect
169. #2446C22semidirect
170. #2442C22semidirect
171. #2442C22semidirect
172. #2437C22semidirect
176. #2432C22semidirect
177. #2429C22semidirect
181. #2427C22semidirect
182. #2427C22semidirect
185. #2421C22semidirect
186. #2421C22semidirect
187. #2421C22semidirect
190. #2420C22semidirect
191. #2419C22semidirect
193. #2417C22semidirect
194. #2417C22semidirect
197. #2401C22semidirect
198. #2401C22semidirect
199. #2395C22semidirect
200. #2374C22semidirect
202. #2367C22semidirect
203. #2367C22semidirect
206. #2364C22semidirect
208. #2362C22semidirect
211. #2361C22semidirect
212. #2361C22semidirect
213. #2361C22semidirect
214. #2361C22semidirect
215. #2359C22semidirect
217. #2358C22semidirect
218. #2357C22semidirect
219. #2357C22semidirect
220. #2355C22semidirect
221. #2355C22semidirect
222. #2355C22semidirect
224. #2354C22semidirect
225. #2354C22semidirect
226. #2352C22semidirect
227. #2349C22semidirect
228. #2349C22semidirect
229. #2349C22semidirect
231. D4×C4⋊C4C22semidirect
232. D4×C4⋊C4C22semidirect
233. D4×C4⋊C4C22semidirect
234. #2345C22semidirect
235. #2345C22semidirect
236. #2342C22semidirect
237. #2339C22semidirect
243. #2337C22semidirect
244. #2335C22semidirect
245. #2334C22semidirect
246. #2332C22semidirect
247. #2331C22semidirect
249. #2326C22semidirect
250. #2326C22semidirect
253. #2323C22semidirect
254. #2323C22semidirect
255. #2322C22semidirect
257. #2321C22semidirect
258. #2320C22semidirect
260. #2314C22semidirect
261. #2311C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×C4⋊Q8C22semidirect
264. C4×C4⋊Q8C22semidirect
267. C4×#125C22semidirect
268. C4×#126C22semidirect
272. C4×#124C22semidirect
273. C4×#124C22semidirect
274. C4×#124C22semidirect
275. C4×C22⋊Q8C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×#123C22semidirect
280. C4×#123C22semidirect
284. C4×#121C22semidirect
285. #2298C22semidirect
286. #2295C22semidirect
288. #2293C22semidirect
290. C2×#388C22semidirect
291. C2×#384C22semidirect
292. #2283C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#596392
#594572
#594372
#594242
#594202
#593972
#593052
#593022
#592602
#592082
#590642
#590352
#451732
#451712
#451292
#451082
#438182
#437962
#404242
#400562
#400482
#385682
#364532
#362402
#356252
#356242
#352142
#352092
#349452
#349152
#343102
#343092
#342072
C4×#5592
C4×#5422