Finite Group Databasebeta

← #7699963

Subgroups — #7699963

Order 512.

4935 conjugacy classes of subgroups.

The subgroup lattice has 1629 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59876C212yesmaximal, complemented
2#59791C214yesmaximal, complemented
3#59776C214yesmaximal, complemented
4#59759C214yesmaximal, complemented
5#59699C212yesmaximal, complemented
6#59692C212yesmaximal, complemented
7#59684C212yesmaximal, complemented
8#59682C212yesmaximal, complemented
9#59681C211yesmaximal, characteristic, complemented
10#59646C211yesmaximal, characteristic
11#59639C211yesmaximal, characteristic, complemented
12#59085C212yesmaximal, complemented
13#36609C211yesmaximal, characteristic, complemented
14#36602C212yesmaximal, complemented
15#36597C211yesmaximal, characteristic
16#36589C212yesmaximal, complemented
17#36538C211yesmaximal, characteristic, complemented
18#36525C214yesmaximal, complemented
19#36515C212yesmaximal, complemented
20#36513C212yesmaximal, complemented
21#36508C211yesmaximal, characteristic, complemented
22#36507C212yesmaximal, complemented
23#36421C212yesmaximal, complemented
24#36313C211yesmaximal, characteristic, complemented
25#36271C211yesmaximal, characteristic, complemented
26#36271C212yesmaximal, complemented
27#36253C212yesmaximal, complemented
28#36115C211yesmaximal, characteristic
29C4×#557C211yesmaximal, characteristic, complemented
30C4×#557C211yesmaximal, characteristic, complemented
31C4×#559C211yesmaximal, characteristic, complemented
32C4×#556C211yesmaximal, characteristic, complemented
33C4×#556C212yesmaximal, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34151C212yesmaximal, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#557C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#556C2212yes—
41C2×#556C2211yescharacteristic
42C2×#529C2212yes—
43#2866C2214yes—
44#2863C2212yes—
45#2862C2211yescharacteristic
46#2861C2212yes—
47#2861C2212yes—
48#2860C2212yes—
49#2860C2214yes—
50#2858C2211yescharacteristic
51#2858C2211yescharacteristic
52#2858C2212yes—
53#2853C2214yes—
54#2850C2212yes—
55#2803C2214yes—
56#2802C2214yes—
57#2801C2214yes—
58#2800C2214yes—
59#2798C2214yes—
60#2793C2214yes—
61#2772C2214yes—
62#2725C2214yes—
63#2716C2214yes—
64#2608C2214yes—
65#2602C2214yes—
66#2601C2214yes—
67#2601C2214yes—
68#2601C2214yes—
69#2597C2214yes—
70#2597C2214yes—
71#2597C2214yes—
72#2596C2214yes—
73#2596C2214yes—
74#2594C2214yes—
75#2593C2214yes—
76#2593C2214yes—
77#2592C2212yes—
78#2592C2212yes—
79#2592C2212yes—
80#2592C2212yes—
81#2590C2214yes—
82#2587C2214yes—
83#2580C2212yes—
84#2578C2214yes—
85#2577C2214yes—
86#2576C2214yes—
87#2573C2214yes—
88#2570C2212yes—
89#2568C2211yescharacteristic
90#2566C2212yes—
91#2565C2212yes—
92#2560C2214yes—
93#2560C2214yes—
94#2560C2214yes—
95#2558C2214yes—
96#2558C2214yes—
97#2558C2214yes—
98#2554C2214yes—
99#2554C2214yes—
100#2548C2212yes—
101#2548C2211yescharacteristic
102#2546C2212yes—
103#2546C2211yescharacteristic
104#2546C2211yescharacteristic
105#2545C2212yes—
106#2545C2212yes—
107#2545C2212yes—
108#2545C2212yes—
109#2545C2212yes—
110#2545C2212yes—
111#2544C2212yes—
112#2542C2211yescharacteristic
113#2541C2211yescharacteristic
114#2529C2214yes—
115#2529C2214yes—
116#2528C2214yes—
117#2527C2214yes—
118#2526C2214yes—
119#2525C2214yes—
120#2525C2214yes—
121#2525C2214yes—
122#2524C2214yes—
123#2523C2214yes—
124#2522C2214yes—
125#2519C2214yes—
126#2519C2214yes—
127#2518C2214yes—
128#2518C2214yes—
129#2518C2214yes—
130#2516C2214yes—
131#2515C2214yes—
132#2514C2212yes—
133#2514C2212yes—
134#2513C2212yes—
135#2513C2212yes—
136#2513C2212yes—
137#2513C2212yes—
138#2512C2212yes—
139#2512C2214yes—
140#2512C2212yes—
141#2511C2212yes—
142#2511C2212yes—
143#2509C2212yes—
144#2507C2212yes—
145#2500C2212yes—
146#2499C2212yes—
147#2492C2212yes—
148#2490C2212yes—
149#2475C2214yes—
150#2471C2214yes—
151#2470C2214yes—
152#2467C2214yes—
153#2460C2214yes—
154#2458C2214yes—
155#2458C2214yes—
156#2453C2212yes—
157#2452C2214yes—
158#2452C2212yes—
159#2448C2212yes—
160#2448C2212yes—
161#2447C2212yes—
162#2447C2212yes—
163#2446C2212yes—
164#2446C2212yes—
165#2445C2212yes—
166#2445C2212yes—
167#2429C2212yes—
168#2429C2212yes—
169#2427C2212yes—
170#2426C2212yes—
171#2426C2212yes—
172#2426C2212yes—
173#2422C2212yes—
174#2421C2212yes—
175#2374C2214yes—
176#2374C2214yes—
177#2374C2214yes—
178#2374C2214yes—
179#2373C2214yes—
180#2373C2214yes—
181#2373C2214yes—
182#2373C2212yes—
183#2373C2214yes—
184#2373C2214yes—
185#2373C2212yes—
186#2370C2212yes—
187#2370C2212yes—
188#2370C2211yescharacteristic
189#2370C2214yes—
190#2370C2212yes—
191#2370C2212yes—
192#2370C2211yescharacteristic
193#2367C2212yes—
194#2367C2212yes—
195#2367C2212yes—
196#2367C2211yescharacteristic
197#2367C2212yes—
198#2367C2212yes—
199#2367C2212yes—
200#2367C2212yes—
201#2367C2212yes—
202#2367C2211yescharacteristic
203#2367C2212yes—
204#2366C2211yescharacteristic
205#2366C2212yes—
206#2365C2211yescharacteristic
207#2365C2212yes—
208#2365C2211yescharacteristic
209#2365C2212yes—
210#2365C2212yes—
211#2365C2211yescharacteristic
212#2365C2212yes—
213#2365C2211yescharacteristic
214#2363C2212yes—
215#2363C2212yes—
216#2363C2212yes—
217#2362C2212yes—
218#2362C2212yes—
219#2362C2212yes—
220#2362C2214yes—
221#2362C2212yes—
222#2362C2212yes—
223#2357C2212yes—
224#2357C2212yes—
225#2357C2212yes—
226#2356C2212yes—
227#2356C2211yescharacteristic
228#2356C2211yescharacteristic
229#2356C2212yes—
230#2355C2211yescharacteristic
231#2355C2212yes—
232#2355C2211yescharacteristic
233#2355C2211yescharacteristic
234#2355C2212yes—
235#2355C2212yes—
236#2355C2211yescharacteristic
237#2354C2212yes—
238#2354C2211yescharacteristic
239#2354C2211yescharacteristic
240#2351C2212yes—
241#2351C2211yescharacteristic
242#2351C2211yescharacteristic
243Q8×C4⋊C4C2211yescharacteristic
244Q8×C4⋊C4C2211yescharacteristic
245#2347C2214yes—
246#2347C2212yes—
247#2347C2212yes—
248C4×C4⋊Q8C2211yescharacteristic
249C4×C4⋊Q8C2211yescharacteristic
250C4×C4⋊Q8C2211yescharacteristic
251C4×C4⋊Q8C2212yes—
252C4×C4⋊Q8C2212yes—
253C4×C4⋊Q8C2212yes—
254C4×C4⋊Q8C2211yescharacteristic
255C4×#127C2211yescharacteristic
256C4×#125C2211yescharacteristic
257C4×#125C2212yes—
258C4×#125C2212yes—
259C4×#125C2214yes—
260C4×#125C2211yescharacteristic
261C4×#125C2212yes—
262C4×#126C2212yes—
263C4×#126C2212yes—
264C4×#126C2214yes—
265C4×#126C2214yes—
266C4×#126C2214yes—
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×#124C2211yescharacteristic
272C4×#124C2212yes—
273C4×#124C2211yescharacteristic
274C4×C22⋊Q8C2214yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2214yes—
278#2298C2214yes—
279#2295C2212yes—
280#2293C2212yes—
281#2293C2214yes—
282#2290C2214yes—
283C42×Q8C2211yescharacteristic
284C42×Q8C2212yes—
285C42×Q8C2212yes—
286C42×Q8C2211yescharacteristic
287C42×Q8C2211yescharacteristic
288C42×Q8C2212yes—
289C42×Q8C2211yescharacteristic
290C42×Q8C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2212yes—
296C4×#117C2212yes—
297C4×#117C2212yes—
298C4×#117C2214yes—
299#559—28no—
300#557—28no—
301#557—28no—
302#556—28no—
303#556—216no—
304#556—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315#529—216no—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×#117C2314yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2314yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C22×C42C2312yes—
393C22×C42C2314yes—
394#401C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#399C2314yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#393C2314yes—
445#393C2314yes—
446#393C2314yes—
447#392C2314yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2311yescharacteristic
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2311yescharacteristic
456#391C2312yes—
457#391C2312yes—
458#391C2311yescharacteristic
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2311yescharacteristic
471#391C2312yes—
472#390C2312yes—
473#390C2314yes—
474#390C2312yes—
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2314yes—
485#390C2314yes—
486#390C2312yes—
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2314yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2311yescharacteristic
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2312yes—
499#390C2314yes—
500#389C2312yes—
501#389C2314yes—
502#389C2312yes—
503#389C2311yescharacteristic
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2314yes—
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2312yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2314yes—
553#388C2312yes—
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#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2312yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#384C2311yescharacteristic
668#384C2312yes—
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2311yescharacteristic
672#384C2312yes—
673#383C2312yes—
674#383C2314yes—
675#383C2312yes—
676#383C2314yes—
677#383C2314yes—
678#382C2311yescharacteristic
679#382C2314yes—
680#382C2312yes—
681#382C2311yescharacteristic
682#382C2312yes—
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2311yescharacteristic
690#381C2314yes—
691#381C2314yes—
692#380C2314yes—
693#380C2312yes—
694#380C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2311yescharacteristic
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2314yes—
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2312yes—
807C43C2314yes—
808C43C2314yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2412yes—
836C4⋊Q8—24no—
837C4⋊Q8—28no—
838C4⋊Q8—28no—
839C4⋊Q8—28no—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—44no—
844#127—24no—
845#127—44no—
846#126—216no—
847#126—216no—
848#126—28no—
849#126—216no—
850#126—28no—
851#126—216no—
852#125—28no—
853#125—28no—
854#125—24no—
855#125—216no—
856#125—28no—
857#125#4118yes—
858#124—28no—
859#124—24no—
860#124—28no—
861#124—28no—
862#124—28no—
863#124—28no—
864#124—24no—
865#124—28no—
866#124—44no—
867#124—44no—
868#123—216no—
869#123—216no—
870#123—48no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—216no—
874C22⋊Q8—28no—
875C22⋊Q8—44no—
876#121—28no—
877#121—44no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—28no—
881C4×Q8—24no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—28no—
886C4×Q8—24no—
887C4×Q8—28no—
888C4×Q8—24no—
889C4×Q8—28no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—44no—
894C4×Q8—42no—
895C4×Q8—42no—
896C4×Q8—42no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—42no—
900C4×Q8—42no—
901C4×Q8—42no—
902C4×Q8—44no—
903C4×Q8#4118yes—
904C4×Q8#4118yes—
905C4×D4—28no—
906C4×D4—216no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—28no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—44no—
916#117—216no—
917#117—28no—
918#117—216no—
919#117—28no—
920#117—44no—
921#117—44no—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C42—28no—
1037C2×C42—48no—
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2414yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2411yescharacteristic
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168C24C2512yes—
1169C24C2514yes—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—42no—
1188C2×Q8—41no—
1189C2×Q8C2×#4114yes—
1190C2×Q8C2×#4114yes—
1191C2×D4—24no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—28no—
1212C22×C4—24no—
1213C22×C4—28no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—28no—
1218C22×C4—28no—
1219C22×C4—44no—
1220C22×C4—42no—
1221C22×C4—44no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2514yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2514yes—
1241C22×C4C2514yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—28no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—28no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—41no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4C2×#4114yes—
1327C4⋊C4C2×#4118yes—
1328C4⋊C4C2×#4114yes—
1329C4⋊C4C2×#4114yes—
1330C4⋊C4C2×#4118yes—
1331C4⋊C4C2×#4114yes—
1332C4⋊C4C2×#4118yes—
1333C4⋊C4C2×#4118yes—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—28no—
1378C42—28no—
1379C42—24no—
1380C42—28no—
1381C42—24no—
1382C42—22no—
1383C42—24no—
1384C42—22no—
1385C42—24no—
1386C42—24no—
1387C42—28no—
1388C42—24no—
1389C42—22no—
1390C42—24no—
1391C42—24no—
1392C42—22no—
1393C42—24no—
1394C42—24no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—24no—
1403C42—44no—
1404C42—44no—
1405C42—42no—
1406C42—41no—
1407C42—42no—
1408C42—42no—
1409C42—41no—
1410C42—42no—
1411C42—41no—
1412C42—42no—
1413C42—42no—
1414C42—44no—
1415C42—42no—
1416C42—44no—
1417C42—42no—
1418C42—42no—
1419C42—44no—
1420C42—41no—
1421C42—44no—
1422C42—41no—
1423C42—42no—
1424C42—42no—
1425C42—42no—
1426C42—42no—
1427C42C2×#4114yes—
1428C42C2×#4118yes—
1429C42C2×#4118yes—
1430C42C2×#4114yes—
1431C42C2×#4114yes—
1432C23—22no—
1433C23—22no—
1434C23—24no—
1435C23—24no—
1436C23—24no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—24no—
1441C23—24no—
1442C23—24no—
1443C23—22no—
1444C23—24no—
1445C23—22no—
1446C23C2611yescharacteristic
1447Q8—28no—
1448Q8—28no—
1449Q8—48no—
1450Q8—44no—
1451Q8—48no—
1452Q8—44no—
1453Q8—48no—
1454D4—48no—
1455D4—44no—
1456D4—48no—
1457D4—84no—
1458D4—88no—
1459D4—164no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—24no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—48no—
1542C2×C4—416no—
1543C2×C4—48no—
1544C2×C4—88no—
1545C2×C4—84no—
1546C2×C4—88no—
1547C2×C4C22×#4114yes—
1548C2×C4C22×#4112yes—
1549C2×C4C22×#4114yes—
1550C2×C4C22×#4114yes—
1551C2×C4C22×#4112yes—
1552C2×C4C22×#4114yes—
1553C2×C4C22×#4112yes—
1554C2×C4C22×#4114yes—
1555C2×C4C22×#4114yes—
1556C2×C4C22×#4112yes—
1557C2×C4C22×#4112yes—
1558C2×C4C22×#4112yes—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4112yes—
1562C2×C4#58512yes—
1563C2×C4#58512yes—
1564C2×C4#58512yes—
1565C22—44no—
1566C22—42no—
1567C22—42no—
1568C22—44no—
1569C22—42no—
1570C22—44no—
1571C22—44no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—44no—
1576C22—44no—
1577C22—44no—
1578C22—42no—
1579C22C23×#4111yescharacteristic
1580C22C23×#4111yescharacteristic
1581C22C23×#4111yescharacteristic
1582C22C2×#58511yescharacteristic
1583C22C2×#58511yescharacteristic
1584C22C2×#58511yescharacteristic
1585C222−1+611yescharacteristic
1586C4—24no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—24no—
1591C4—22no—
1592C4—24no—
1593C4—24no—
1594C4—24no—
1595C4—24no—
1596C4—22no—
1597C4—22no—
1598C4—42no—
1599C4—42no—
1600C4—41no—
1601C4—42no—
1602C4—41no—
1603C4—42no—
1604C4—41no—
1605C4—41no—
1606C4—42no—
1607C4—41no—
1608C4—41no—
1609C4—44no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—44no—
1614C4—44no—
1615C4—41no—
1616C4—42no—
1617C4#348014yes—
1618C4#348014yes—
1619C2—84no—
1620C2—82no—
1621C2C2×#348011yescharacteristic
1622C2C2×#348011yescharacteristic
1623C2#41211yescharacteristic
1624C2#6299511yescharacteristic
1625C2#6300711yescharacteristic
1626C2#6300911yescharacteristic
1627C2#6303011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2541C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59876C2semidirect
2. #59791C2semidirect
3. #59776C2semidirect
4. #59759C2semidirect
5. #59699C2semidirect
6. #59692C2semidirect
7. #59684C2semidirect
8. #59682C2semidirect
9. #59681C2semidirect
11. #59639C2semidirect
12. #59085C2semidirect
13. #36609C2semidirect
14. #36602C2semidirect
16. #36589C2semidirect
17. #36538C2semidirect
18. #36525C2semidirect
19. #36515C2semidirect
20. #36513C2semidirect
21. #36508C2semidirect
22. #36507C2semidirect
23. #36421C2semidirect
24. #36313C2semidirect
25. #36271C2semidirect
26. #36271C2semidirect
27. #36253C2semidirect
29. C4×#557C2semidirect
30. C4×#557C2semidirect
31. C4×#559C2semidirect
32. C4×#556C2semidirect
33. C4×#556C2semidirect
34. C4×#556C2semidirect
35. #34151C2semidirect

Maximal subgroups

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

subgroupindex
#598762
#597912
#597762
#597592
#596992
#596922
#596842
#596822
#596812
#596462
#596392
#590852
#366092
#366022
#365972
#365892
#365382
#365252
#365152
#365132
#365082
#365072
#364212
#363132
#362712
#362532
#361152
C4×#5572
C4×#5592
C4×#5562
#341512