Finite Group Databasebeta

← #7693286

Subgroups — #7693286

Order 512.

4501 conjugacy classes of subgroups.

The subgroup lattice has 1557 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59718C212yesmaximal, complemented
2#59664C212yesmaximal, complemented
3#59519C214yesmaximal, complemented
4#59511C212yesmaximal, complemented
5#59450C211yesmaximal, characteristic
6#59445C211yesmaximal, characteristic, complemented
7#59428C211yesmaximal, characteristic
8#59428C212yesmaximal
9#45154C212yesmaximal, complemented
10#45153C212yesmaximal
11#44614C214yesmaximal, complemented
12#43809C214yesmaximal, complemented
13#40224C212yesmaximal, complemented
14#40220C212yesmaximal, complemented
15#40062C214yesmaximal, complemented
16#39757C212yesmaximal, complemented
17#39173C211yesmaximal, characteristic
18#39170C211yesmaximal, characteristic, complemented
19#36608C211yesmaximal, characteristic, complemented
20#36562C211yesmaximal, characteristic
21#36556C211yesmaximal, characteristic, complemented
22#36535C212yesmaximal, complemented
23#36454C211yesmaximal, characteristic
24#36408C212yesmaximal, complemented
25#36307C212yesmaximal, complemented
26#36286C211yesmaximal, characteristic, complemented
27#35973C212yesmaximal
28#35870C212yesmaximal, complemented
29#34975C212yesmaximal, complemented
30#34951C211yesmaximal, characteristic, complemented
31#34337C211yesmaximal, characteristic, complemented
32#34332C211yesmaximal, characteristic
33#34326C212yesmaximal
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#556C211yesmaximal, characteristic
36C2×#557C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#556C2212yes—
39C2×#556C2211yescharacteristic
40C2×#554C2211yescharacteristic
41#2864C2212yes—
42#2864C2214yes—
43#2863C2212yes—
44#2862C2211yescharacteristic
45#2862C2211yescharacteristic
46#2862C2211yescharacteristic
47#2859C2212yes—
48#2855C2212yes—
49#2810C2214yes—
50#2810C2214yes—
51#2805C2214yes—
52#2805C2214yes—
53#2794C2214yes—
54#2791C2214yes—
55#2787C2214yes—
56#2774C2214yes—
57#2771C2214yes—
58#2770C2214yes—
59#2769C2214yes—
60#2767C2214yes—
61#2765C2214yes—
62#2744C2214yes—
63#2719C2214yes—
64#2719C2214yes—
65#2690C2214yes—
66#2690C2214yes—
67#2689C2214yes—
68#2689C2214yes—
69#2689C2214yes—
70#2655C2214yes—
71#2652C2214yes—
72#2642C2212yes—
73#2642C2212yes—
74#2605C2214yes—
75#2590C2214yes—
76#2590C2214yes—
77#2590C2214yes—
78#2588C2214yes—
79#2588C2214yes—
80#2588C2214yes—
81#2588C2214yes—
82#2585C2214yes—
83#2585C2214yes—
84#2585C2212yes—
85#2585C2212yes—
86#2582C2211yescharacteristic
87#2581C2212yes—
88#2581C2212yes—
89#2581C2212yes—
90#2581C2212yes—
91#2581C2212yes—
92#2577C2214yes—
93#2575C2214yes—
94#2575C2214yes—
95#2573C2214yes—
96#2573C2214yes—
97#2571C2212yes—
98#2570C2212yes—
99#2570C2214yes—
100#2570C2212yes—
101#2568C2211yescharacteristic
102#2568C2211yescharacteristic
103#2567C2211yescharacteristic
104#2567C2211yescharacteristic
105#2566C2212yes—
106#2565C2212yes—
107#2565C2212yes—
108#2565C2212yes—
109#2556C2214yes—
110#2556C2214yes—
111#2552C2212yes—
112#2552C2211yescharacteristic
113#2550C2214yes—
114#2547C2211yescharacteristic
115#2547C2212yes—
116#2546C2212yes—
117#2546C2211yescharacteristic
118#2546C2211yescharacteristic
119#2542C2211yescharacteristic
120#2533C2214yes—
121#2533C2214yes—
122#2533C2214yes—
123#2533C2214yes—
124#2533C2214yes—
125#2533C2214yes—
126#2530C2214yes—
127#2528C2214yes—
128#2528C2214yes—
129#2528C2214yes—
130#2524C2214yes—
131#2524C2214yes—
132#2520C2214yes—
133#2517C2214yes—
134#2515C2214yes—
135#2514C2212yes—
136#2514C2212yes—
137#2514C2212yes—
138#2514C2212yes—
139#2514C2212yes—
140#2514C2212yes—
141#2511C2212yes—
142#2511C2212yes—
143#2511C2212yes—
144#2511C2212yes—
145#2511C2212yes—
146#2511C2212yes—
147#2509C2212yes—
148#2509C2211yescharacteristic
149#2509C2211yescharacteristic
150#2508C2212yes—
151#2508C2212yes—
152#2506C2212yes—
153#2505C2214yes—
154#2503C2212yes—
155#2496C2212yes—
156#2496C2214yes—
157#2496C2214yes—
158#2496C2212yes—
159#2493C2214yes—
160#2489C2212yes—
161#2489C2212yes—
162#2484C2214yes—
163#2478C2214yes—
164#2478C2214yes—
165#2478C2214yes—
166#2475C2214yes—
167#2473C2214yes—
168#2462C2214yes—
169#2453C2212yes—
170#2453C2212yes—
171#2453C2211yescharacteristic
172#2453C2211yescharacteristic
173#2451C2212yes—
174#2447C2212yes—
175#2447C2212yes—
176#2447C2212yes—
177#2446C2212yes—
178#2446C2212yes—
179#2446C2212yes—
180#2446C2212yes—
181#2446C2212yes—
182#2446C2212yes—
183#2442C2212yes—
184#2442C2212yes—
185#2440C2212yes—
186#2440C2214yes—
187#2429C2212yes—
188#2429C2212yes—
189#2421C2212yes—
190#2421C2212yes—
191#2421C2212yes—
192#2421C2212yes—
193#2402C2214yes—
194#2402C2212yes—
195#2402C2212yes—
196#2401C2214yes—
197#2373C2214yes—
198#2373C2214yes—
199#2373C2212yes—
200#2373C2212yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2214yes—
204#2370C2212yes—
205#2370C2214yes—
206#2370C2212yes—
207#2369C2211yescharacteristic
208#2368C2214yes—
209#2367C2211yescharacteristic
210#2367C2212yes—
211#2367C2211yescharacteristic
212#2365C2212yes—
213#2365C2212yes—
214#2365C2211yescharacteristic
215#2365C2212yes—
216#2365C2211yescharacteristic
217#2365C2211yescharacteristic
218#2362C2212yes—
219#2360C2212yes—
220#2360C2212yes—
221#2360C2212yes—
222#2360C2214yes—
223#2360C2212yes—
224#2357C2212yes—
225#2356C2212yes—
226#2356C2212yes—
227#2356C2212yes—
228#2356C2212yes—
229#2356C2211yescharacteristic
230#2356C2211yescharacteristic
231#2355C2212yes—
232#2355C2212yes—
233#2355C2212yes—
234#2355C2211yescharacteristic
235#2355C2212yes—
236#2355C2211yescharacteristic
237#2355C2212yes—
238#2354C2211yescharacteristic
239#2351C2212yes—
240Q8×C4⋊C4C2212yes—
241Q8×C4⋊C4C2211yescharacteristic
242Q8×C4⋊C4C2211yescharacteristic
243Q8×C4⋊C4C2212yes—
244D4×C4⋊C4C2211yescharacteristic
245D4×C4⋊C4C2212yes—
246#2347C2212yes—
247#2345C2212yes—
248#2344C2212yes—
249#2344C2214yes—
250#2343C2214yes—
251#2334C2214yes—
252#2332C2214yes—
253#2330C2212yes—
254#2330C2214yes—
255#2330C2212yes—
256#2329C2214yes—
257#2327C2212yes—
258#2326C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×#125C2211yescharacteristic
268C4×#125C2211yescharacteristic
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2214yes—
272C4×#125C2214yes—
273C4×#126C2214yes—
274C4×#126C2212yes—
275C4×#126C2212yes—
276C4×#124C2211yescharacteristic
277C4×#124C2212yes—
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282#2298C2214yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288C2×#389C2212yes—
289#2276C2212yes—
290#2275C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299#557—28no—
300#557—28no—
301#556—216no—
302#556—28no—
303#554—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×#126C2312yes—
314C2×#126C2314yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×#117C2314yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2314yes—
369C22×C42C2312yes—
370#401C2314yes—
371#401C2314yes—
372#400C2312yes—
373#400C2314yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#399C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2312yes—
420#398C2312yes—
421#398C2312yes—
422#398C2314yes—
423#398C2312yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#396C2314yes—
442#396C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#391C2311yescharacteristic
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2311yescharacteristic
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2312yes—
489#390C2311yescharacteristic
490#390C2312yes—
491#390C2311yescharacteristic
492#389C2312yes—
493#389C2312yes—
494#389C2314yes—
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#389C2314yes—
498#389C2312yes—
499#389C2312yes—
500#389C2314yes—
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2314yes—
553#388C2312yes—
554#388C2312yes—
555#388C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2314yes—
574#387C2312yes—
575#387C2312yes—
576#387C2314yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2312yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2312yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
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#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2312yes—
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2314yes—
677#383C2314yes—
678#383C2312yes—
679#383C2312yes—
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#382C2311yescharacteristic
684#382C2311yescharacteristic
685#382C2314yes—
686#382C2312yes—
687#382C2312yes—
688#382C2314yes—
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2312yes—
697#382C2314yes—
698#382C2312yes—
699#382C2314yes—
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#380C2314yes—
705#380C2314yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2314yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2314yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2314yes—
803#376C2314yes—
804#376C2314yes—
805#376C2312yes—
806#376C2312yes—
807C2×#95C2314yes—
808C43C2314yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2414yes—
827C23×C4C2414yes—
828C23×C4C2412yes—
829C4⋊Q8—24no—
830C4⋊Q8—28no—
831C4⋊Q8—28no—
832C4⋊Q8—24no—
833C4⋊Q8—28no—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—42no—
837C4⋊Q8—44no—
838#126—28no—
839#126—216no—
840#126—216no—
841#126—28no—
842#125—28no—
843#125—216no—
844#125—216no—
845#125—24no—
846#125—24no—
847#125—28no—
848#125—28no—
849#125—48no—
850#124—28no—
851#124—24no—
852#124#4118yes—
853C22⋊Q8—28no—
854C22⋊Q8—216no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—216no—
858C22⋊Q8—44no—
859C4×Q8—28no—
860C4×Q8—24no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—24no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—28no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—28no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—42no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—42no—
881C4×Q8—42no—
882C4×Q8#4118yes—
883C4×D4—24no—
884C4×D4—28no—
885C4×D4—24no—
886C4×D4—28no—
887C4×D4—24no—
888#117—28no—
889#117—216no—
890#117—44no—
891C2×C4⋊C4—28no—
892C2×C4⋊C4—44no—
893C2×C4⋊C4—48no—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C42—44no—
999C2×C42C2414yes—
1000C2×C42C2412yes—
1001C2×C42C2412yes—
1002C2×C42C2414yes—
1003C2×C42C2411yescharacteristic
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2414yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2411yescharacteristic
1055#95C2412yes—
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144C24C2512yes—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—24no—
1159C2×Q8—22no—
1160C2×Q8—24no—
1161C2×Q8—22no—
1162C2×Q8—41no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8C2×#4114yes—
1168C2×Q8C2×#4114yes—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4C2×#4114yes—
1172C22×C4—24no—
1173C22×C4—28no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—28no—
1179C22×C4—24no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—42no—
1186C22×C4—44no—
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C22×C4C2511yescharacteristic
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2514yes—
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C4⋊C4—28no—
1222C4⋊C4—24no—
1223C4⋊C4—22no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—28no—
1227C4⋊C4—22no—
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—28no—
1234C4⋊C4—24no—
1235C4⋊C4—28no—
1236C4⋊C4—24no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—28no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—28no—
1259C4⋊C4—24no—
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—28no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4C2×#4114yes—
1305C4⋊C4C2×#4118yes—
1306C4⋊C42−1+414yes—
1307C4⋊C42−1+414yes—
1308C22⋊C4—24no—
1309C22⋊C4—28no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—24no—
1313C22⋊C4—28no—
1314C22⋊C4—24no—
1315C22⋊C4—28no—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4C2×#4118yes—
1324C22⋊C4C2×#4118yes—
1325C42—24no—
1326C42—28no—
1327C42—24no—
1328C42—28no—
1329C42—22no—
1330C42—24no—
1331C42—22no—
1332C42—24no—
1333C42—28no—
1334C42—28no—
1335C42—24no—
1336C42—24no—
1337C42—22no—
1338C42—24no—
1339C42—24no—
1340C42—22no—
1341C42—28no—
1342C42—24no—
1343C42—22no—
1344C42—22no—
1345C42—24no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—24no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—42no—
1354C42—42no—
1355C42—42no—
1356C42—41no—
1357C42—42no—
1358C42—42no—
1359C42—44no—
1360C42—41no—
1361C42—41no—
1362C42—42no—
1363C42—42no—
1364C42—44no—
1365C42—44no—
1366C42—41no—
1367C42—41no—
1368C42—42no—
1369C42—44no—
1370C42—44no—
1371C42—44no—
1372C42—42no—
1373C42C2×#4118yes—
1374C42C2×#4114yes—
1375C42C2×#4114yes—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23C22×#4114yes—
1383C23C2611yescharacteristic
1384Q8—28no—
1385Q8—28no—
1386Q8—44no—
1387Q8—48no—
1388Q8—44no—
1389Q8—48no—
1390Q8—84no—
1391Q8—84no—
1392D4—28no—
1393C2×C4—22no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—24no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—24no—
1424C2×C4—24no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—48no—
1481C2×C4—48no—
1482C2×C4—88no—
1483C2×C4—84no—
1484C2×C4—88no—
1485C2×C4C22×#4112yes—
1486C2×C4C22×#4114yes—
1487C2×C4C22×#4114yes—
1488C2×C4C22×#4114yes—
1489C2×C4C22×#4112yes—
1490C2×C4C22×#4112yes—
1491C2×C4C22×#4112yes—
1492C2×C4C22×#4112yes—
1493C2×C4C22×#4112yes—
1494C2×C4C2×2−1+414yes—
1495C2×C4C2×2−1+414yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4C2×2−1+412yes—
1498C2×C4#58512yes—
1499C2×C4#58512yes—
1500C22—24no—
1501C22—24no—
1502C22—24no—
1503C22—42no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22C23×#4111yescharacteristic
1508C22C23×#4111yescharacteristic
1509C22C22×2−1+411yescharacteristic
1510C22C22×2−1+411yescharacteristic
1511C22C2×#58511yescharacteristic
1512C22C2×#58511yescharacteristic
1513C222−1+611yescharacteristic
1514C4—24no—
1515C4—22no—
1516C4—22no—
1517C4—24no—
1518C4—24no—
1519C4—22no—
1520C4—22no—
1521C4—24no—
1522C4—24no—
1523C4—42no—
1524C4—42no—
1525C4—44no—
1526C4—41no—
1527C4—42no—
1528C4—41no—
1529C4—42no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—42no—
1534C4—44no—
1535C4—42no—
1536C4—44no—
1537C4—42no—
1538C4—41no—
1539C4—42no—
1540C4—41no—
1541C4—41no—
1542C4—42no—
1543C4—41no—
1544C4—42no—
1545C4—44no—
1546C4#348214yes—
1547C4#350714yes—
1548C2—44no—
1549C2C2×#348211yescharacteristic
1550C2C2×#350711yescharacteristic
1551C2#6281611yescharacteristic
1552C2#6295011yescharacteristic
1553C2#6299511yescharacteristic
1554C2#6300111yescharacteristic
1555C2#6303211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59718C2semidirect
2. #59664C2semidirect
3. #59519C2semidirect
4. #59511C2semidirect
6. #59445C2semidirect
9. #45154C2semidirect
11. #44614C2semidirect
12. #43809C2semidirect
13. #40224C2semidirect
14. #40220C2semidirect
15. #40062C2semidirect
16. #39757C2semidirect
18. #39170C2semidirect
19. #36608C2semidirect
21. #36556C2semidirect
22. #36535C2semidirect
24. #36408C2semidirect
25. #36307C2semidirect
26. #36286C2semidirect
28. #35870C2semidirect
29. #34975C2semidirect
30. #34951C2semidirect
31. #34337C2semidirect
34. C4×#557C2semidirect

Maximal subgroups

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

subgroupindex
#597182
#596642
#595192
#595112
#594502
#594452
#594282
#451542
#451532
#446142
#438092
#402242
#402202
#400622
#397572
#391732
#391702
#366082
#365622
#365562
#365352
#364542
#364082
#363072
#362862
#359732
#358702
#349752
#349512
#343372
#343322
#343262
C4×#5572
C4×#5562