Finite Group Databasebeta

← #7690639

Subgroups — #7690639

Order 512.

4937 conjugacy classes of subgroups.

The subgroup lattice has 1659 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59862C212yesmaximal, complemented
2#59827C211yesmaximal, characteristic, complemented
3#59582C212yesmaximal, complemented
4#59510C212yesmaximal, complemented
5#59488C212yesmaximal, complemented
6#59420C211yesmaximal, characteristic
7#59420C211yesmaximal, characteristic
8#59210C214yesmaximal, complemented
9#45171C212yesmaximal, complemented
10#45132C212yesmaximal, complemented
11#43639C214yesmaximal, complemented
12#43524C214yesmaximal, complemented
13#40337C214yesmaximal, complemented
14#39536C212yesmaximal, complemented
15#39506C211yesmaximal, characteristic, complemented
16#39286C212yesmaximal, complemented
17#39034C212yesmaximal, complemented
18#38977C211yesmaximal, characteristic, complemented
19#36590C211yesmaximal, characteristic, complemented
20#36573C211yesmaximal, characteristic, complemented
21#36477C211yesmaximal, characteristic, complemented
22#36312C211yesmaximal, characteristic, complemented
23#36299C211yesmaximal, characteristic, complemented
24#36293C212yesmaximal, complemented
25#36240C212yesmaximal, complemented
26#36173C212yesmaximal, complemented
27#36055C212yesmaximal, complemented
28#36033C212yesmaximal, complemented
29#34913C212yesmaximal, complemented
30#34902C211yesmaximal, characteristic, complemented
31#34331C211yesmaximal, characteristic, complemented
32#34310C211yesmaximal, characteristic
33#34261C212yesmaximal, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#559C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×D42C2211yescharacteristic
40C2×#518C2212yes—
41#2863C2212yescomplemented
42#2861C2212yes—
43#2860C2212yes—
44#2859C2211yescharacteristic, complemented
45#2859C2211yescharacteristic, complemented
46#2859C2211yescharacteristic, complemented
47#2855C2212yescomplemented
48#2852C2214yescomplemented
49#2796C2214yescomplemented
50#2787C2214yescomplemented
51#2787C2214yescomplemented
52#2783C2214yescomplemented
53#2783C2214yescomplemented
54#2782C2214yescomplemented
55#2781C2214yescomplemented
56#2765C2214yescomplemented
57#2751C2214yescomplemented
58#2750C2214yescomplemented
59#2747C2214yescomplemented
60#2746C2214yescomplemented
61#2745C2214yescomplemented
62#2743C2214yescomplemented
63#2741C2214yescomplemented
64#2739C2214yescomplemented
65#2735C2214yescomplemented
66#2735C2214yescomplemented
67#2724C2214yescomplemented
68#2697C2214yes—
69#2697C2214yes—
70#2649C2214yescomplemented
71#2645C2212yescomplemented
72#2638C2214yescomplemented
73#2621C2212yescomplemented
74#2609C2214yescomplemented
75#2608C2214yescomplemented
76#2597C2214yescomplemented
77#2596C2212yescomplemented
78#2595C2214yescomplemented
79#2594C2212yescomplemented
80#2594C2214yescomplemented
81#2592C2211yescharacteristic
82#2587C2214yescomplemented
83#2582C2211yescharacteristic, complemented
84#2582C2211yescharacteristic, complemented
85#2581C2211yescharacteristic, complemented
86#2580C2212yescomplemented
87#2580C2212yescomplemented
88#2580C2212yescomplemented
89#2578C2214yescomplemented
90#2577C2214yescomplemented
91#2576C2214yescomplemented
92#2576C2214yescomplemented
93#2575C2214yescomplemented
94#2575C2214yescomplemented
95#2570C2212yescomplemented
96#2570C2211yescharacteristic, complemented
97#2569C2214yescomplemented
98#2566C2212yes—
99#2561C2214yescomplemented
100#2547C2212yescomplemented
101#2547C2212yescomplemented
102#2545C2211yescharacteristic
103#2538C2211yescharacteristic
104#2538C2211yescharacteristic
105#2538C2211yescharacteristic
106#2538C2211yescharacteristic
107#2534C2214yes—
108#2534C2214yes—
109#2531C2214yescomplemented
110#2530C2214yescomplemented
111#2529C2214yescomplemented
112#2526C2214yescomplemented
113#2525C2214yescomplemented
114#2525C2212yescomplemented
115#2519C2214yescomplemented
116#2518C2214yescomplemented
117#2517C2214yescomplemented
118#2516C2214yescomplemented
119#2515C2214yescomplemented
120#2515C2214yescomplemented
121#2514C2211yescharacteristic, complemented
122#2514C2212yescomplemented
123#2513C2212yes—
124#2513C2212yes—
125#2513C2212yes—
126#2512C2211yescharacteristic
127#2510C2214yescomplemented
128#2510C2214yescomplemented
129#2509C2212yescomplemented
130#2508C2212yescomplemented
131#2508C2212yescomplemented
132#2508C2212yescomplemented
133#2508C2212yescomplemented
134#2503C2212yescomplemented
135#2497C2212yescomplemented
136#2496C2212yescomplemented
137#2495C2214yescomplemented
138#2495C2212yescomplemented
139#2494C2212yescomplemented
140#2494C2212yescomplemented
141#2493C2214yescomplemented
142#2489C2212yescomplemented
143#2489C2212yescomplemented
144#2489C2212yescomplemented
145#2486C2214yescomplemented
146#2484C2214yescomplemented
147#2483C2214yescomplemented
148#2482C2214yescomplemented
149#2482C2214yescomplemented
150#2481C2214yescomplemented
151#2480C2214yescomplemented
152#2480C2214yescomplemented
153#2480C2214yescomplemented
154#2480C2214yescomplemented
155#2480C2214yescomplemented
156#2479C2214yescomplemented
157#2475C2214yescomplemented
158#2469C2212yescomplemented
159#2468C2214yescomplemented
160#2468C2214yescomplemented
161#2454C2212yescomplemented
162#2454C2212yescomplemented
163#2454C2212yescomplemented
164#2454C2212yescomplemented
165#2454C2212yescomplemented
166#2454C2212yescomplemented
167#2448C2211yescharacteristic
168#2448C2212yes—
169#2447C2212yes—
170#2447C2212yes—
171#2447C2212yescomplemented
172#2447C2212yescomplemented
173#2447C2212yescomplemented
174#2447C2212yescomplemented
175#2446C2211yescharacteristic, complemented
176#2442C2212yescomplemented
177#2435C2212yes—
178#2435C2212yes—
179#2435C2212yes—
180#2435C2212yes—
181#2429C2212yescomplemented
182#2427C2212yes—
183#2427C2212yes—
184#2427C2212yes—
185#2427C2212yes—
186#2423C2212yescomplemented
187#2421C2212yescomplemented
188#2421C2212yescomplemented
189#2420C2212yes—
190#2420C2212yes—
191#2420C2212yes—
192#2420C2212yes—
193#2401C2212yescomplemented
194#2401C2214yescomplemented
195#2396C2212yescomplemented
196#2395C2214yescomplemented
197#2374C2214yescomplemented
198#2373C2212yescomplemented
199#2373C2212yescomplemented
200#2370C2212yescomplemented
201#2367C2211yescharacteristic
202#2367C2211yescharacteristic
203#2367C2212yescomplemented
204#2367C2212yescomplemented
205#2367C2212yescomplemented
206#2367C2212yescomplemented
207#2366C2211yescharacteristic
208#2365C2211yescharacteristic, complemented
209#2363C2212yes—
210#2362C2212yescomplemented
211#2362C2212yescomplemented
212#2362C2212yescomplemented
213#2361C2212yes—
214#2360C2212yescomplemented
215#2359C2214yescomplemented
216#2358C2214yes—
217#2357C2212yes—
218#2357C2212yescomplemented
219#2357C2212yescomplemented
220#2356C2211yescharacteristic, complemented
221#2356C2211yescharacteristic, complemented
222#2355C2211yescharacteristic, complemented
223#2355C2211yescharacteristic, complemented
224#2355C2211yescharacteristic, complemented
225#2355C2211yescharacteristic, complemented
226#2354C2211yescharacteristic
227#2354C2211yescharacteristic
228#2354C2212yescomplemented
229#2353C2214yescomplemented
230#2352C2214yescomplemented
231Q8×C4⋊C4C2211yescharacteristic, complemented
232#2349C2212yescomplemented
233#2349C2212yescomplemented
234#2349C2212yescomplemented
235#2349C2212yescomplemented
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2212yescomplemented
238D4×C4⋊C4C2212yescomplemented
239#2347C2212yescomplemented
240#2347C2212yescomplemented
241#2346C2212yescomplemented
242#2344C2212yescomplemented
243#2342C2214yescomplemented
244#2342C2214yescomplemented
245#2342C2214yescomplemented
246D4×C22⋊C4C2212yes—
247D4×C22⋊C4C2212yes—
248D4×C22⋊C4C2212yes—
249D4×C22⋊C4C2212yes—
250D4×C22⋊C4C2212yes—
251D4×C22⋊C4C2212yes—
252#2335C2214yescomplemented
253#2326C2212yescomplemented
254#2324C2212yes—
255#2321C2214yes—
256#2319C2212yes—
257#2318C2214yescomplemented
258#2314C2212yescomplemented
259#2312C2214yescomplemented
260C4×C4⋊Q8C2211yescharacteristic, complemented
261C4×C4⋊Q8C2211yescharacteristic, complemented
262C4×#127C2211yescharacteristic
263C4×#127C2211yescharacteristic
264C4×#127C2211yescharacteristic
265C4×#125C2212yescomplemented
266C4×#126C2212yescomplemented
267C4×#126C2212yescomplemented
268C4×#126C2212yescomplemented
269C4×#124C2211yescharacteristic
270C4×#124C2211yescharacteristic
271C4×#124C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×#124C2212yescomplemented
274C4×#124C2212yescomplemented
275C4×#124C2212yescomplemented
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2212yescomplemented
278C4×#123C2214yescomplemented
279C4×#121C2212yes—
280#2298C2212yescomplemented
281#2295C2211yescharacteristic, complemented
282#2295C2212yescomplemented
283#2293C2211yescharacteristic
284#2293C2212yes—
285#2293C2212yescomplemented
286C2×#390C2212yes—
287#2290C2214yescomplemented
288C2×#388C2214yescomplemented
289#2283C2214yescomplemented
290#2275C2212yescomplemented
291C42×Q8C2211yescharacteristic, complemented
292C42×Q8C2211yescharacteristic, complemented
293C42×Q8C2211yescharacteristic, complemented
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2212yescomplemented
297C42×D4C2212yescomplemented
298C4×#117C2212yescomplemented
299C23×D4C2312yes—
300C23×D4C2312yes—
301#559—28no—
302#559—28no—
303#556—28no—
304D42—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127C2311yescharacteristic
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124C2312yes—
316C2×#124C2311yescharacteristic
317C2×#124C2311yescharacteristic
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#120C2314yes—
333#518—216no—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2314yes—
375C2×#117C2314yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2314yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2314yes—
382C22×C22⋊C4C2314yes—
383C22×C42C2314yes—
384C22×C42C2312yes—
385#401C2312yes—
386#401C2314yes—
387#401C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#399C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2312yes—
427#397C2314yes—
428#397C2312yes—
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#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2312yes—
451#396C2314yes—
452#395C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#393C2312yes—
462#393C2314yes—
463#391C2311yescharacteristic
464#391C2311yescharacteristic
465#391C2311yescharacteristic
466#391C2311yescharacteristic
467#391C2311yescharacteristic
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#390C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2311yescharacteristic
493#390C2314yes—
494#390C2312yes—
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2314yes—
504#390C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2314yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2312yes—
676#383C2312yes—
677#383C2312yes—
678#383C2312yes—
679#383C2314yes—
680#383C2314yes—
681#382C2311yescharacteristic
682#382C2312yes—
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2314yes—
686#382C2314yes—
687#382C2314yes—
688#382C2314yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2311yescharacteristic
693#382C2311yescharacteristic
694#382C2312yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2314yes—
708#380C2314yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2314yes—
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2314yes—
721#379C2314yes—
722#379C2314yes—
723#379C2314yes—
724#379C2314yes—
725#379C2314yes—
726#379C2314yes—
727#379C2314yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
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⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803#376C2312yes—
804#376C2314yes—
805#376C2312yes—
806#376C2312yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C43C2312yes—
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C25C2414yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×D4—28no—
822C22×D4—28no—
823C22×D4—28no—
824C22×D4—44no—
825C22×D4—44no—
826C22×D4—44no—
827C22×D4C2411yescharacteristic
828C22×D4C2414yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2414yes—
833C22×D4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C4⋊Q8—24no—
846C4⋊Q8—42no—
847#127#4118yes—
848#126—28no—
849#126—28no—
850#126—44no—
851#126—84no—
852#125—44no—
853#125—44no—
854#125—82no—
855#124—24no—
856#124—24no—
857#124—28no—
858#124—28no—
859#124—28no—
860#124—28no—
861#124—42no—
862#124—42no—
863#123—216no—
864#123—216no—
865C22⋊Q8—28no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869C22⋊Q8—44no—
870#121—28no—
871#121—28no—
872#120—216no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—24no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—24no—
880C4×Q8—42no—
881C4×Q8—42no—
882C4×Q8—44no—
883C4×Q8—42no—
884C4×Q8—42no—
885C4×Q8—42no—
886C4×Q8—42no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—216no—
893C4×D4—28no—
894C4×D4—216no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—42no—
905C4×D4—44no—
906C4×D4—82no—
907C4×D4—82no—
908C4×D4#4118yes—
909#117—28no—
910#117—28no—
911#117—28no—
912#117—44no—
913#117—84no—
914#117—84no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4—84no—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C22⋊C4—216no—
983C2×C22⋊C4—216no—
984C2×C22⋊C4—48no—
985C2×C22⋊C4—84no—
986C2×C22⋊C4—84no—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C42—48no—
1042C2×C42—44no—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2414yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163C24—28no—
1164C24—28no—
1165C24—44no—
1166C24—44no—
1167C24—44no—
1168C24—44no—
1169C24—44no—
1170C24C2512yes—
1171C24C2512yes—
1172C24C2514yes—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—41no—
1187C2×Q8—41no—
1188C2×D4—28no—
1189C2×D4—28no—
1190C2×D4—28no—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—432no—
1206C2×D4—816no—
1207C2×D4C2×#4114yes—
1208C2×D4C2×#4118yes—
1209C2×D4C2×#4118yes—
1210C2×D4C2×#4118yes—
1211C22×C4—28no—
1212C22×C4—28no—
1213C22×C4—28no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—28no—
1221C22×C4—28no—
1222C22×C4—28no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4C2×#4118yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2514yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2514yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—41no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4C2×#4114yes—
1341C22⋊C4—28no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4C2×#4118yes—
1395C42—28no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—22no—
1404C42—22no—
1405C42—24no—
1406C42—22no—
1407C42—24no—
1408C42—24no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—44no—
1419C42—42no—
1420C42—42no—
1421C42—44no—
1422C42—42no—
1423C42—42no—
1424C42—42no—
1425C42—44no—
1426C42—41no—
1427C42—41no—
1428C42—44no—
1429C42—41no—
1430C42—41no—
1431C42—42no—
1432C42—42no—
1433C42—42no—
1434C42—42no—
1435C42—41no—
1436C42—42no—
1437C42C2×#4114yes—
1438C42C2×#4114yes—
1439C23—24no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—24no—
1445C23—24no—
1446C23—24no—
1447C23—24no—
1448C23—22no—
1449C23—22no—
1450C23—24no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—416no—
1459C23—88no—
1460C23—88no—
1461C23—88no—
1462C23—88no—
1463C23—164no—
1464C23—164no—
1465C23C22×#4118yes—
1466C23C22×#4114yes—
1467C23C2611yescharacteristic
1468Q8—44no—
1469Q8—44no—
1470Q8—44no—
1471Q8—44no—
1472Q8—44no—
1473D4—28no—
1474D4—216no—
1475D4—216no—
1476D4—48no—
1477D4—416no—
1478D4—44no—
1479D4—88no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—48no—
1566C2×C4—48no—
1567C2×C4—48no—
1568C2×C4—88no—
1569C2×C4—88no—
1570C2×C4—88no—
1571C2×C4—88no—
1572C2×C4—88no—
1573C2×C4—88no—
1574C2×C4—84no—
1575C2×C4—164no—
1576C2×C4C22×#4114yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4112yes—
1579C2×C4C22×#4112yes—
1580C2×C4C22×#4112yes—
1581C2×C4C22×#4112yes—
1582C2×C4C22×#4112yes—
1583C2×C4#58512yes—
1584C2×C4#58512yes—
1585C2×C4#58512yes—
1586C2×C4#58512yes—
1587C22—28no—
1588C22—24no—
1589C22—28no—
1590C22—24no—
1591C22—24no—
1592C22—28no—
1593C22—42no—
1594C22—44no—
1595C22—44no—
1596C22—42no—
1597C22—42no—
1598C22—44no—
1599C22—42no—
1600C22—44no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—1616no—
1609C22C23×#4111yescharacteristic
1610C22C23×#4111yescharacteristic
1611C22C2×#58511yescharacteristic
1612C22C2×#58511yescharacteristic
1613C22C2×#58511yescharacteristic
1614C22C2×#58511yescharacteristic
1615C22H(7,𝔽2)11yescharacteristic
1616C4—22no—
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—24no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—42no—
1625C4—41no—
1626C4—41no—
1627C4—42no—
1628C4—44no—
1629C4—41no—
1630C4—41no—
1631C4—44no—
1632C4—42no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—41no—
1637C4—41no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—41no—
1642C4—42no—
1643C4—41no—
1644C4—44no—
1645C4—41no—
1646C4#347514yes—
1647C4#352114yes—
1648C2—48no—
1649C2—44no—
1650C2—82no—
1651C2C2×#347511yescharacteristic
1652C2C2×#352111yescharacteristic
1653C2#6278111yescharacteristic
1654C2#6296611yescharacteristic
1655C2#6299211yescharacteristic
1656C2#6301011yescharacteristic
1657C2#6303011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×D42C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59862C2semidirect
2. #59827C2semidirect
3. #59582C2semidirect
4. #59510C2semidirect
5. #59488C2semidirect
8. #59210C2semidirect
9. #45171C2semidirect
10. #45132C2semidirect
11. #43639C2semidirect
12. #43524C2semidirect
13. #40337C2semidirect
14. #39536C2semidirect
15. #39506C2semidirect
16. #39286C2semidirect
17. #39034C2semidirect
18. #38977C2semidirect
19. #36590C2semidirect
20. #36573C2semidirect
21. #36477C2semidirect
22. #36312C2semidirect
23. #36299C2semidirect
24. #36293C2semidirect
25. #36240C2semidirect
26. #36173C2semidirect
27. #36055C2semidirect
28. #36033C2semidirect
29. #34913C2semidirect
30. #34902C2semidirect
31. #34331C2semidirect
33. #34261C2semidirect
34. C4×#559C2semidirect
35. C4×#556C2semidirect
41. #2863C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
46. #2859C22semidirect
47. #2855C22semidirect
48. #2852C22semidirect
49. #2796C22semidirect
50. #2787C22semidirect
51. #2787C22semidirect
52. #2783C22semidirect
53. #2783C22semidirect
54. #2782C22semidirect
55. #2781C22semidirect
56. #2765C22semidirect
57. #2751C22semidirect
58. #2750C22semidirect
59. #2747C22semidirect
60. #2746C22semidirect
61. #2745C22semidirect
62. #2743C22semidirect
63. #2741C22semidirect
64. #2739C22semidirect
65. #2735C22semidirect
66. #2735C22semidirect
67. #2724C22semidirect
70. #2649C22semidirect
71. #2645C22semidirect
72. #2638C22semidirect
73. #2621C22semidirect
74. #2609C22semidirect
75. #2608C22semidirect
76. #2597C22semidirect
77. #2596C22semidirect
78. #2595C22semidirect
79. #2594C22semidirect
80. #2594C22semidirect
82. #2587C22semidirect
83. #2582C22semidirect
84. #2582C22semidirect
85. #2581C22semidirect
86. #2580C22semidirect
87. #2580C22semidirect
88. #2580C22semidirect
89. #2578C22semidirect
90. #2577C22semidirect
91. #2576C22semidirect
92. #2576C22semidirect
93. #2575C22semidirect
94. #2575C22semidirect
95. #2570C22semidirect
96. #2570C22semidirect
97. #2569C22semidirect
99. #2561C22semidirect
100. #2547C22semidirect
101. #2547C22semidirect
109. #2531C22semidirect
110. #2530C22semidirect
111. #2529C22semidirect
112. #2526C22semidirect
113. #2525C22semidirect
114. #2525C22semidirect
115. #2519C22semidirect
116. #2518C22semidirect
117. #2517C22semidirect
118. #2516C22semidirect
119. #2515C22semidirect
120. #2515C22semidirect
121. #2514C22semidirect
122. #2514C22semidirect
127. #2510C22semidirect
128. #2510C22semidirect
129. #2509C22semidirect
130. #2508C22semidirect
131. #2508C22semidirect
132. #2508C22semidirect
133. #2508C22semidirect
134. #2503C22semidirect
135. #2497C22semidirect
136. #2496C22semidirect
137. #2495C22semidirect
138. #2495C22semidirect
139. #2494C22semidirect
140. #2494C22semidirect
141. #2493C22semidirect
142. #2489C22semidirect
143. #2489C22semidirect
144. #2489C22semidirect
145. #2486C22semidirect
146. #2484C22semidirect
147. #2483C22semidirect
148. #2482C22semidirect
149. #2482C22semidirect
150. #2481C22semidirect
151. #2480C22semidirect
152. #2480C22semidirect
153. #2480C22semidirect
154. #2480C22semidirect
155. #2480C22semidirect
156. #2479C22semidirect
157. #2475C22semidirect
158. #2469C22semidirect
159. #2468C22semidirect
160. #2468C22semidirect
161. #2454C22semidirect
162. #2454C22semidirect
163. #2454C22semidirect
164. #2454C22semidirect
165. #2454C22semidirect
166. #2454C22semidirect
171. #2447C22semidirect
172. #2447C22semidirect
173. #2447C22semidirect
174. #2447C22semidirect
175. #2446C22semidirect
176. #2442C22semidirect
181. #2429C22semidirect
186. #2423C22semidirect
187. #2421C22semidirect
188. #2421C22semidirect
193. #2401C22semidirect
194. #2401C22semidirect
195. #2396C22semidirect
196. #2395C22semidirect
197. #2374C22semidirect
198. #2373C22semidirect
199. #2373C22semidirect
200. #2370C22semidirect
203. #2367C22semidirect
204. #2367C22semidirect
205. #2367C22semidirect
206. #2367C22semidirect
208. #2365C22semidirect
210. #2362C22semidirect
211. #2362C22semidirect
212. #2362C22semidirect
214. #2360C22semidirect
215. #2359C22semidirect
218. #2357C22semidirect
219. #2357C22semidirect
220. #2356C22semidirect
221. #2356C22semidirect
222. #2355C22semidirect
223. #2355C22semidirect
224. #2355C22semidirect
225. #2355C22semidirect
228. #2354C22semidirect
229. #2353C22semidirect
230. #2352C22semidirect
231. Q8×C4⋊C4C22semidirect
232. #2349C22semidirect
233. #2349C22semidirect
234. #2349C22semidirect
235. #2349C22semidirect
237. D4×C4⋊C4C22semidirect
238. D4×C4⋊C4C22semidirect
239. #2347C22semidirect
240. #2347C22semidirect
241. #2346C22semidirect
242. #2344C22semidirect
243. #2342C22semidirect
244. #2342C22semidirect
245. #2342C22semidirect
252. #2335C22semidirect
253. #2326C22semidirect
257. #2318C22semidirect
258. #2314C22semidirect
259. #2312C22semidirect
260. C4×C4⋊Q8C22semidirect
261. C4×C4⋊Q8C22semidirect
265. C4×#125C22semidirect
266. C4×#126C22semidirect
267. C4×#126C22semidirect
268. C4×#126C22semidirect
273. C4×#124C22semidirect
274. C4×#124C22semidirect
275. C4×#124C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×#123C22semidirect
280. #2298C22semidirect
281. #2295C22semidirect
282. #2295C22semidirect
285. #2293C22semidirect
287. #2290C22semidirect
288. C2×#388C22semidirect
289. #2283C22semidirect
290. #2275C22semidirect
291. C42×Q8C22semidirect
292. C42×Q8C22semidirect
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
#598622
#598272
#595822
#595102
#594882
#594202
#592102
#451712
#451322
#436392
#435242
#403372
#395362
#395062
#392862
#390342
#389772
#365902
#365732
#364772
#363122
#362992
#362932
#362402
#361732
#360552
#360332
#349132
#349022
#343312
#343102
#342612
C4×#5592
C4×#5562