Finite Group Databasebeta

← #7693781

Subgroups — #7693781

Order 512.

4721 conjugacy classes of subgroups.

The subgroup lattice has 1649 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60006C214yesmaximal, complemented
2#59876C212yesmaximal, complemented
3#59682C212yesmaximal, complemented
4#59679C211yesmaximal, characteristic, complemented
5#59556C212yesmaximal, complemented
6#59396C212yesmaximal, complemented
7#59329C211yesmaximal, characteristic, complemented
8#59256C211yesmaximal, characteristic, complemented
9#44958C212yesmaximal, complemented
10#44958C212yesmaximal, complemented
11#44722C214yesmaximal, complemented
12#43474C214yesmaximal, complemented
13#40217C212yesmaximal, complemented
14#40213C212yesmaximal, complemented
15#40061C214yesmaximal, complemented
16#39726C211yesmaximal, characteristic, complemented
17#39726C211yesmaximal, characteristic, complemented
18#39485C212yesmaximal, complemented
19#36587C211yesmaximal, characteristic, complemented
20#36584C211yesmaximal, characteristic, complemented
21#36513C212yesmaximal, complemented
22#36477C212yesmaximal, complemented
23#36460C211yesmaximal, characteristic, complemented
24#36285C211yesmaximal, characteristic, complemented
25#36250C212yesmaximal, complemented
26#36182C211yesmaximal, characteristic
27#36037C212yesmaximal, complemented
28#35710C212yesmaximal, complemented
29#34969C212yesmaximal, complemented
30#34929C211yesmaximal, characteristic, complemented
31#34319C212yesmaximal, complemented
32#34214C211yesmaximal, characteristic, complemented
33#34213C211yesmaximal, characteristic, complemented
34C4×#559C211yesmaximal, characteristic, complemented
35C4×#552C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#553C2212yes—
38C2×#552C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#533C2211yescharacteristic
41#2863C2212yes—
42#2860C2212yes—
43#2859C2212yes—
44#2859C2211yescharacteristic
45#2856C2211yescharacteristic
46#2856C2211yescharacteristic
47#2855C2214yes—
48#2850C2212yes—
49#2800C2214yes—
50#2794C2214yes—
51#2793C2214yes—
52#2772C2214yes—
53#2772C2214yes—
54#2770C2214yes—
55#2761C2214yes—
56#2761C2214yes—
57#2743C2214yes—
58#2743C2214yes—
59#2725C2214yes—
60#2725C2214yes—
61#2716C2214yes—
62#2707C2214yes—
63#2707C2214yes—
64#2701C2214yes—
65#2701C2214yes—
66#2698C2214yes—
67#2698C2214yes—
68#2681C2214yes—
69#2681C2214yes—
70#2650C2214yes—
71#2649C2214yes—
72#2620C2212yes—
73#2620C2212yes—
74#2608C2214yes—
75#2608C2214yes—
76#2606C2214yes—
77#2601C2214yes—
78#2601C2214yes—
79#2597C2214yes—
80#2594C2214yes—
81#2592C2212yes—
82#2592C2212yes—
83#2590C2214yes—
84#2587C2214yes—
85#2587C2214yes—
86#2587C2214yes—
87#2582C2211yescharacteristic
88#2582C2211yescharacteristic
89#2576C2214yes—
90#2573C2214yes—
91#2573C2214yes—
92#2572C2214yes—
93#2571C2211yescharacteristic
94#2571C2212yes—
95#2571C2212yes—
96#2571C2211yescharacteristic
97#2570C2212yes—
98#2570C2212yes—
99#2570C2212yes—
100#2570C2212yes—
101#2566C2212yes—
102#2566C2212yes—
103#2565C2212yes—
104#2559C2214yes—
105#2556C2212yes—
106#2556C2212yes—
107#2551C2211yescharacteristic
108#2548C2211yescharacteristic
109#2548C2211yescharacteristic
110#2546C2211yescharacteristic
111#2545C2212yes—
112#2545C2212yes—
113#2545C2212yes—
114#2542C2211yescharacteristic
115#2538C2211yescharacteristic
116#2538C2212yes—
117#2538C2212yes—
118#2530C2214yes—
119#2530C2214yes—
120#2529C2214yes—
121#2529C2214yes—
122#2529C2214yes—
123#2528C2214yes—
124#2527C2214yes—
125#2526C2214yes—
126#2526C2214yes—
127#2525C2214yes—
128#2525C2214yes—
129#2523C2214yes—
130#2518C2214yes—
131#2516C2214yes—
132#2515C2214yes—
133#2514C2212yes—
134#2513C2212yes—
135#2513C2212yes—
136#2513C2212yes—
137#2512C2212yes—
138#2512C2212yes—
139#2512C2212yes—
140#2512C2212yes—
141#2512C2212yes—
142#2511C2212yes—
143#2511C2212yes—
144#2509C2212yes—
145#2509C2214yes—
146#2509C2212yes—
147#2509C2214yes—
148#2508C2212yes—
149#2507C2212yes—
150#2506C2212yes—
151#2504C2212yes—
152#2504C2212yes—
153#2503C2212yes—
154#2503C2212yes—
155#2500C2212yes—
156#2500C2212yes—
157#2499C2212yes—
158#2497C2214yes—
159#2494C2212yes—
160#2492C2211yescharacteristic
161#2492C2211yescharacteristic
162#2484C2214yes—
163#2477C2214yes—
164#2477C2214yes—
165#2470C2214yes—
166#2470C2214yes—
167#2469C2214yes—
168#2466C2214yes—
169#2466C2214yes—
170#2466C2214yes—
171#2466C2214yes—
172#2452C2212yes—
173#2452C2212yes—
174#2452C2212yes—
175#2447C2212yes—
176#2447C2212yes—
177#2446C2212yes—
178#2444C2214yes—
179#2429C2214yes—
180#2429C2211yescharacteristic
181#2429C2211yescharacteristic
182#2427C2212yes—
183#2427C2212yes—
184#2426C2212yes—
185#2426C2212yes—
186#2426C2212yes—
187#2422C2212yes—
188#2422C2212yes—
189#2421C2212yes—
190#2420C2212yes—
191#2416C2212yes—
192#2416C2212yes—
193#2401C2214yes—
194#2398C2214yes—
195#2396C2212yes—
196#2396C2212yes—
197#2374C2214yes—
198#2374C2214yes—
199#2373C2214yes—
200#2373C2212yes—
201#2373C2214yes—
202#2371C2212yes—
203#2370C2212yes—
204#2370C2214yes—
205#2370C2211yescharacteristic
206#2369C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2367C2212yes—
210#2366C2211yescharacteristic
211#2365C2212yes—
212#2363C2214yes—
213#2363C2212yes—
214#2362C2211yescharacteristic
215#2361C2212yes—
216#2361C2212yes—
217#2361C2212yes—
218#2360C2212yes—
219#2360C2212yes—
220#2360C2214yes—
221#2360C2211yescharacteristic
222#2359C2212yes—
223#2357C2212yes—
224#2357C2214yes—
225#2357C2212yes—
226#2357C2212yes—
227#2357C2212yes—
228#2357C2212yes—
229#2356C2212yes—
230#2356C2211yescharacteristic
231#2356C2212yes—
232#2355C2211yescharacteristic
233#2355C2211yescharacteristic
234#2355C2211yescharacteristic
235#2355C2212yes—
236#2355C2212yes—
237#2355C2212yes—
238#2355C2211yescharacteristic
239#2352C2211yescharacteristic
240#2351C2212yes—
241#2351C2212yes—
242Q8×C4⋊C4C2211yescharacteristic
243Q8×C4⋊C4C2211yescharacteristic
244Q8×C4⋊C4C2211yescharacteristic
245Q8×C4⋊C4C2211yescharacteristic
246Q8×C4⋊C4C2212yes—
247#2346C2212yes—
248#2346C2211yescharacteristic
249#2344C2212yes—
250#2344C2212yes—
251#2344C2211yescharacteristic
252#2343C2212yes—
253#2334C2214yes—
254#2333C2214yes—
255#2330C2214yes—
256#2329C2214yes—
257#2324C2212yes—
258#2324C2212yes—
259#2317C2212yes—
260#2317C2212yes—
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×#127C2211yescharacteristic
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2211yescharacteristic
269C4×#126C2212yes—
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2214yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×#123C2212yes—
281C4×#123C2214yes—
282C4×#123C2214yes—
283C4×#121C2212yes—
284#2295C2212yes—
285#2293C2212yes—
286#2290C2214yes—
287#2285C2211yescharacteristic
288C2×#384C2211yescharacteristic
289#2274C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299#559—28no—
300#553—216no—
301#552—28no—
302#533—28no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×#127C2311yescharacteristic
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2314yes—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2312yes—
389C22×C42C2314yes—
390#401C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2314yes—
407#399C2312yes—
408#399C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2312yes—
418#398C2312yes—
419#398C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2312yes—
452#395C2312yes—
453#395C2312yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#393C2312yes—
465#393C2314yes—
466#393C2314yes—
467#393C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2314yes—
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2314yes—
497#390C2314yes—
498#390C2312yes—
499#390C2314yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
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#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2312yes—
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#383C2312yes—
686#383C2314yes—
687#383C2314yes—
688#382C2311yescharacteristic
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2314yes—
699#382C2312yes—
700#382C2314yes—
701#382C2312yes—
702#382C2314yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#381C2312yes—
709#381C2314yes—
710#381C2314yes—
711#380C2311yescharacteristic
712#380C2311yescharacteristic
713#380C2312yes—
714#380C2314yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2314yes—
718#380C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C22⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808#376C2314yes—
809#376C2312yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2312yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2414yes—
824C22×D4C2414yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2411yescharacteristic
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—42no—
844C4⋊Q8—44no—
845#127—24no—
846#126—216no—
847#126—28no—
848#126—48no—
849#126—84no—
850#125—28no—
851#125—28no—
852#125—28no—
853#125—24no—
854#125—28no—
855#124—28no—
856#124—28no—
857#124—44no—
858#124—44no—
859#123—28no—
860#123—216no—
861#123—216no—
862C22⋊Q8—24no—
863C22⋊Q8—24no—
864C22⋊Q8—24no—
865C22⋊Q8—24no—
866C22⋊Q8—24no—
867C22⋊Q8—24no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—48no—
871C22⋊Q8—42no—
872C22⋊Q8—42no—
873C22⋊Q8—84no—
874#121—216no—
875#121—28no—
876#121—28no—
877#121—44no—
878#121—44no—
879#121—44no—
880#121—82no—
881C4×Q8—24no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—42no—
891C4×Q8—42no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—84no—
895C4×Q8#4118yes—
896C4×D4—28no—
897C4×D4—28no—
898C4×D4—216no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—42no—
904C4×D4—42no—
905C4×D4—82no—
906C4×D4—84no—
907C4×D4#4118yes—
908#117—24no—
909#117—28no—
910#117—24no—
911#117—28no—
912#117—28no—
913#117—28no—
914#117—44no—
915#117—84no—
916C2×C4⋊C4—24no—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—24no—
919C2×C4⋊C4—44no—
920C2×C4⋊C4—82no—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C42—24no—
1043C2×C42—24no—
1044C2×C42—44no—
1045C2×C42—84no—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24C2514yes—
1165C24C2511yescharacteristic
1166C24C2511yescharacteristic
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8C2×#4114yes—
1185C2×D4—28no—
1186C2×D4—28no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—42no—
1197C2×D4—44no—
1198C2×D4—42no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4C2×#4114yes—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—28no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—28no—
1219C22×C4—28no—
1220C22×C4—24no—
1221C22×C4—28no—
1222C22×C4—42no—
1223C22×C4—41no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—41no—
1234C22×C4—42no—
1235C22×C4—41no—
1236C22×C4—44no—
1237C22×C4C2×#4114yes—
1238C22×C4C2×#4114yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2514yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2514yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—41no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4C2×#4114yes—
1345C4⋊C4C2×#4114yes—
1346C4⋊C4C2×#4118yes—
1347C4⋊C42−1+414yes—
1348C22⋊C4—28no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—22no—
1365C22⋊C4—28no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4C2×#4114yes—
1391C22⋊C4C2×#4114yes—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—24no—
1399C42—28no—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—24no—
1406C42—22no—
1407C42—24no—
1408C42—24no—
1409C42—24no—
1410C42—24no—
1411C42—22no—
1412C42—22no—
1413C42—24no—
1414C42—42no—
1415C42—42no—
1416C42—42no—
1417C42—42no—
1418C42—44no—
1419C42—44no—
1420C42—42no—
1421C42—44no—
1422C42—41no—
1423C42—41no—
1424C42—44no—
1425C42—44no—
1426C42—42no—
1427C42—42no—
1428C42—44no—
1429C42—44no—
1430C42—44no—
1431C42—42no—
1432C42—42no—
1433C42C2×#4114yes—
1434C42C2×#4118yes—
1435C42C2×#4114yes—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—24no—
1449C23—24no—
1450C23—24no—
1451C23—24no—
1452C23—24no—
1453C23—24no—
1454C23—24no—
1455C23C22×#4112yes—
1456C23C22×#4112yes—
1457C23C2611yescharacteristic
1458Q8—28no—
1459Q8—48no—
1460Q8—44no—
1461Q8—44no—
1462Q8—44no—
1463Q8—84no—
1464D4—44no—
1465D4—48no—
1466D4—48no—
1467D4—84no—
1468D4—88no—
1469D4—88no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—28no—
1489C2×C4—28no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—24no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—21no—
1553C2×C4—44no—
1554C2×C4—48no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—82no—
1558C2×C4—88no—
1559C2×C4—88no—
1560C2×C4—84no—
1561C2×C4—88no—
1562C2×C4—88no—
1563C2×C4C22×#4112yes—
1564C2×C4C22×#4112yes—
1565C2×C4C22×#4112yes—
1566C2×C4C22×#4112yes—
1567C2×C4C22×#4114yes—
1568C2×C4C22×#4112yes—
1569C2×C4C22×#4114yes—
1570C2×C4C22×#4112yes—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4112yes—
1573C2×C4C2×2−1+414yes—
1574C2×C4C2×2−1+412yes—
1575C2×C4#58512yes—
1576C2×C4#58512yes—
1577C2×C4#58512yes—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—44no—
1593C22—44no—
1594C22—44no—
1595C22—44no—
1596C22—44no—
1597C22—44no—
1598C22—44no—
1599C22C23×#4111yescharacteristic
1600C22C23×#4111yescharacteristic
1601C22C22×2−1+411yescharacteristic
1602C22C2×#58511yescharacteristic
1603C22C2×#58511yescharacteristic
1604C22C2×#58511yescharacteristic
1605C22H(7,𝔽2)11yescharacteristic
1606C4—22no—
1607C4—22no—
1608C4—24no—
1609C4—22no—
1610C4—24no—
1611C4—22no—
1612C4—24no—
1613C4—22no—
1614C4—22no—
1615C4—42no—
1616C4—41no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—44no—
1621C4—44no—
1622C4—41no—
1623C4—42no—
1624C4—42no—
1625C4—41no—
1626C4—41no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—44no—
1632C4—41no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4#348214yes—
1637C4#351214yes—
1638C2—42no—
1639C2—42no—
1640C2—84no—
1641C2C2×#348211yescharacteristic
1642C2C2×#351211yescharacteristic
1643C2#6281511yescharacteristic
1644C2#6295111yescharacteristic
1645C2#6300811yescharacteristic
1646C2#6301011yescharacteristic
1647C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36182C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60006C2semidirect
2. #59876C2semidirect
3. #59682C2semidirect
4. #59679C2semidirect
5. #59556C2semidirect
6. #59396C2semidirect
7. #59329C2semidirect
8. #59256C2semidirect
9. #44958C2semidirect
10. #44958C2semidirect
11. #44722C2semidirect
12. #43474C2semidirect
13. #40217C2semidirect
14. #40213C2semidirect
15. #40061C2semidirect
16. #39726C2semidirect
17. #39726C2semidirect
18. #39485C2semidirect
19. #36587C2semidirect
20. #36584C2semidirect
21. #36513C2semidirect
22. #36477C2semidirect
23. #36460C2semidirect
24. #36285C2semidirect
25. #36250C2semidirect
27. #36037C2semidirect
28. #35710C2semidirect
29. #34969C2semidirect
30. #34929C2semidirect
31. #34319C2semidirect
32. #34214C2semidirect
33. #34213C2semidirect
34. C4×#559C2semidirect
35. C4×#552C2semidirect

Maximal subgroups

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

subgroupindex
#600062
#598762
#596822
#596792
#595562
#593962
#593292
#592562
#449582
#447222
#434742
#402172
#402132
#400612
#397262
#394852
#365872
#365842
#365132
#364772
#364602
#362852
#362502
#361822
#360372
#357102
#349692
#349292
#343192
#342142
#342132
C4×#5592
C4×#5522