Finite Group Databasebeta

← #7688367

Subgroups — #7688367

Order 512.

4575 conjugacy classes of subgroups.

The subgroup lattice has 1595 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59963C212yesmaximal, complemented
2#59895C212yesmaximal, complemented
3#59829C212yesmaximal
4#59678C211yesmaximal, characteristic
5#59434C211yesmaximal, characteristic, complemented
6#59433C212yesmaximal, complemented
7#59428C211yesmaximal, characteristic, complemented
8#59298C212yesmaximal, complemented
9#59240C212yesmaximal, complemented
10#44734C214yesmaximal, complemented
11#43807C214yesmaximal, complemented
12#43766C214yesmaximal, complemented
13#40195C212yesmaximal, complemented
14#40057C212yesmaximal
15#39999C212yesmaximal, complemented
16#39955C212yesmaximal, complemented
17#39782C212yesmaximal, complemented
18#39214C212yesmaximal, complemented
19#36584C211yesmaximal, characteristic, complemented
20#36574C211yesmaximal, characteristic, complemented
21#36555C211yesmaximal, characteristic, complemented
22#36416C211yesmaximal, characteristic, complemented
23#36403C212yesmaximal, complemented
24#36312C211yesmaximal, characteristic, complemented
25#36290C211yesmaximal, characteristic, complemented
26#36270C211yesmaximal, characteristic
27#36196C212yesmaximal, complemented
28#35975C214yesmaximal, complemented
29#34951C211yesmaximal, characteristic, complemented
30#34945C211yesmaximal, characteristic, complemented
31#34945C211yesmaximal, characteristic, complemented
32#34322C212yesmaximal, complemented
33#34314C212yesmaximal, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#559C211yesmaximal, characteristic
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#556C2212yes—
39C2×#552C2212yes—
40#2864C2212yes—
41#2860C2212yes—
42#2860C2212yes—
43#2859C2212yes—
44#2859C2211yescharacteristic
45#2859C2211yescharacteristic
46#2859C2211yescharacteristic
47#2851C2212yes—
48#2851C2212yes—
49#2807C2214yes—
50#2796C2214yes—
51#2794C2214yes—
52#2789C2214yes—
53#2787C2214yes—
54#2786C2214yes—
55#2783C2214yes—
56#2782C2214yes—
57#2777C2214yes—
58#2777C2214yes—
59#2771C2214yes—
60#2767C2214yes—
61#2765C2214yes—
62#2758C2214yes—
63#2743C2214yes—
64#2719C2214yes—
65#2718C2214yes—
66#2713C2214yes—
67#2694C2214yes—
68#2689C2214yes—
69#2674C2214yes—
70#2664C2214yes—
71#2655C2214yes—
72#2649C2214yes—
73#2611C2214yes—
74#2604C2214yes—
75#2604C2214yes—
76#2601C2214yes—
77#2597C2214yes—
78#2596C2214yes—
79#2596C2214yes—
80#2594C2214yes—
81#2594C2214yes—
82#2589C2214yes—
83#2587C2214yes—
84#2587C2214yes—
85#2585C2214yes—
86#2585C2214yes—
87#2584C2212yes—
88#2584C2212yes—
89#2582C2211yescharacteristic
90#2581C2212yes—
91#2581C2212yes—
92#2580C2212yes—
93#2575C2214yes—
94#2575C2214yes—
95#2573C2214yes—
96#2573C2214yes—
97#2573C2214yes—
98#2573C2214yes—
99#2571C2212yes—
100#2571C2212yes—
101#2571C2211yescharacteristic
102#2571C2211yescharacteristic
103#2568C2211yescharacteristic
104#2566C2212yes—
105#2562C2212yes—
106#2562C2212yes—
107#2558C2214yes—
108#2553C2214yes—
109#2552C2211yescharacteristic
110#2547C2211yescharacteristic
111#2547C2211yescharacteristic
112#2546C2211yescharacteristic
113#2545C2212yes—
114#2544C2212yes—
115#2538C2211yescharacteristic
116#2538C2211yescharacteristic
117#2536C2212yes—
118#2533C2214yes—
119#2533C2214yes—
120#2533C2214yes—
121#2529C2214yes—
122#2528C2214yes—
123#2528C2214yes—
124#2528C2214yes—
125#2522C2214yes—
126#2521C2214yes—
127#2519C2214yes—
128#2515C2214yes—
129#2514C2212yes—
130#2514C2212yes—
131#2514C2212yes—
132#2511C2212yes—
133#2511C2212yes—
134#2509C2212yes—
135#2509C2214yes—
136#2509C2212yes—
137#2509C2212yes—
138#2509C2212yes—
139#2509C2212yes—
140#2509C2214yes—
141#2509C2212yes—
142#2508C2212yes—
143#2508C2212yes—
144#2508C2212yes—
145#2507C2212yes—
146#2506C2212yes—
147#2505C2214yes—
148#2497C2212yes—
149#2497C2212yes—
150#2496C2212yes—
151#2496C2212yes—
152#2496C2212yes—
153#2494C2212yes—
154#2494C2212yes—
155#2494C2212yes—
156#2494C2214yes—
157#2493C2214yes—
158#2488C2214yes—
159#2487C2212yes—
160#2485C2212yes—
161#2481C2214yes—
162#2478C2214yes—
163#2473C2214yes—
164#2470C2214yes—
165#2466C2214yes—
166#2466C2214yes—
167#2454C2212yes—
168#2453C2212yes—
169#2453C2212yes—
170#2453C2212yes—
171#2453C2212yes—
172#2448C2212yes—
173#2448C2212yes—
174#2448C2212yes—
175#2447C2212yes—
176#2447C2212yes—
177#2447C2212yes—
178#2446C2212yes—
179#2446C2212yes—
180#2445C2212yes—
181#2442C2212yes—
182#2442C2212yes—
183#2441C2212yes—
184#2441C2212yes—
185#2440C2212yes—
186#2439C2212yes—
187#2423C2212yes—
188#2423C2212yes—
189#2421C2212yes—
190#2421C2212yes—
191#2402C2214yes—
192#2401C2214yes—
193#2401C2214yes—
194#2374C2212yes—
195#2374C2212yes—
196#2373C2214yes—
197#2373C2214yes—
198#2373C2214yes—
199#2373C2214yes—
200#2370C2214yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2211yescharacteristic
204#2370C2212yes—
205#2370C2211yescharacteristic
206#2370C2212yes—
207#2370C2212yes—
208#2367C2211yescharacteristic
209#2367C2212yes—
210#2367C2212yes—
211#2367C2211yescharacteristic
212#2366C2211yescharacteristic
213#2365C2212yes—
214#2365C2212yes—
215#2365C2211yescharacteristic
216#2362C2212yes—
217#2360C2212yes—
218#2360C2214yes—
219#2359C2214yes—
220#2357C2211yescharacteristic
221#2357C2212yes—
222#2357C2211yescharacteristic
223#2355C2212yes—
224#2355C2211yescharacteristic
225#2355C2211yescharacteristic
226#2355C2211yescharacteristic
227#2355C2212yes—
228#2354C2211yescharacteristic
229#2354C2211yescharacteristic
230#2352C2212yes—
231#2352C2212yes—
232#2351C2211yescharacteristic
233#2351C2212yes—
234#2351C2212yes—
235#2351C2211yescharacteristic
236#2351C2212yes—
237Q8×C4⋊C4C2211yescharacteristic
238Q8×C4⋊C4C2211yescharacteristic
239Q8×C4⋊C4C2211yescharacteristic
240#2349C2212yes—
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2211yescharacteristic
244#2347C2212yes—
245#2346C2214yes—
246#2346C2212yes—
247#2345C2212yes—
248#2344C2212yes—
249#2343C2214yes—
250#2336C2214yes—
251#2334C2214yes—
252#2334C2214yes—
253#2334C2214yes—
254#2323C2214yes—
255#2322C2214yes—
256C4×C4⋊Q8C2212yes—
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2212yes—
262C4×#127C2211yescharacteristic
263C4×#125C2212yes—
264C4×#125C2211yescharacteristic
265C4×#125C2212yes—
266C4×#125C2211yescharacteristic
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×#124C2211yescharacteristic
273C4×#124C2211yescharacteristic
274C4×#124C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×#123C2212yes—
278C4×#123C2212yes—
279#2296C2212yes—
280#2295C2212yes—
281#2295C2212yes—
282#2295C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2293C2212yes—
286C2×#389C2212yes—
287#2283C2212yes—
288#2283C2212yes—
289#2274C2214yes—
290C42×Q8C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#559—28no—
300#557—28no—
301#556—216no—
302#552—216no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×#127C2311yescharacteristic
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2314yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×#117C2314yes—
366C2×#117C2314yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2314yes—
371C22×C4⋊C4C2312yes—
372C22×C42C2312yes—
373C22×C42C2312yes—
374#401C2314yes—
375#401C2314yes—
376#401C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
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#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#395C2314yes—
438#395C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#393C2314yes—
444#391C2312yes—
445#391C2312yes—
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2314yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2312yes—
461#391C2312yes—
462#390C2312yes—
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2312yes—
466#390C2312yes—
467#390C2312yes—
468#390C2311yescharacteristic
469#390C2312yes—
470#390C2312yes—
471#390C2311yescharacteristic
472#390C2312yes—
473#389C2311yescharacteristic
474#389C2311yescharacteristic
475#389C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#389C2312yes—
480#389C2311yescharacteristic
481#389C2311yescharacteristic
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2314yes—
491#389C2314yes—
492#389C2312yes—
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2314yes—
502#389C2314yes—
503#389C2312yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2312yes—
584#387C2312yes—
585#387C2314yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
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#387C2312yes—
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#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#384C2311yescharacteristic
660#384C2312yes—
661#384C2311yescharacteristic
662#384C2311yescharacteristic
663#384C2311yescharacteristic
664#384C2311yescharacteristic
665#384C2312yes—
666#384C2312yes—
667#384C2312yes—
668#383C2314yes—
669#383C2314yes—
670#383C2314yes—
671#382C2311yescharacteristic
672#382C2312yes—
673#382C2312yes—
674#382C2311yescharacteristic
675#382C2312yes—
676#382C2312yes—
677#382C2312yes—
678#382C2312yes—
679#382C2312yes—
680#382C2314yes—
681#382C2312yes—
682#382C2314yes—
683#382C2314yes—
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2314yes—
687#382C2312yes—
688#382C2312yes—
689#382C2311yescharacteristic
690#381C2314yes—
691#381C2314yes—
692#381C2312yes—
693#381C2314yes—
694#381C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2312yes—
705#380C2314yes—
706#380C2312yes—
707#380C2314yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2314yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806C2×#95C2314yes—
807C43C2312yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2414yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2412yes—
831C4⋊Q8—28no—
832C4⋊Q8—24no—
833C4⋊Q8—28no—
834C4⋊Q8—24no—
835#127—24no—
836#126—216no—
837#126—216no—
838#126—216no—
839#126—48no—
840#125—216no—
841#125—24no—
842#125—28no—
843#125—28no—
844#125—28no—
845#125—24no—
846#125—44no—
847#125—44no—
848#125—44no—
849#124—24no—
850#124—28no—
851#124—28no—
852#124—44no—
853#124#4118yes—
854#123—216no—
855#123—28no—
856#123—28no—
857C22⋊Q8—28no—
858C22⋊Q8—28no—
859C22⋊Q8—216no—
860C4×Q8—28no—
861C4×Q8—24no—
862C4×Q8—24no—
863C4×Q8—24no—
864C4×Q8—28no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—42no—
872C4×Q8—44no—
873C4×Q8—42no—
874C4×Q8—42no—
875C4×Q8—42no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—42no—
879C4×Q8—44no—
880C4×Q8#4118yes—
881C4×D4—28no—
882C4×D4—24no—
883C4×D4—28no—
884C4×D4—28no—
885C4×D4—24no—
886C4×D4—24no—
887C4×D4—24no—
888C4×D4—42no—
889C4×D4—44no—
890C4×D4—42no—
891C4×D4—44no—
892C4×D4—44no—
893#117—28no—
894#117—216no—
895#117—216no—
896#117—44no—
897C2×C4⋊C4—28no—
898C2×C4⋊C4—44no—
899C2×C4⋊C4—48no—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C42—44no—
1015C2×C42—44no—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2411yescharacteristic
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148C24C2512yes—
1149C24C2512yes—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—24no—
1161C2×Q8—41no—
1162C2×Q8—42no—
1163C2×Q8C2×#4114yes—
1164C2×Q8C2×#4114yes—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4C2×#4114yes—
1177C22×C4—28no—
1178C22×C4—24no—
1179C22×C4—28no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—44no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2514yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C4⋊C4—24no—
1235C4⋊C4—28no—
1236C4⋊C4—24no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—28no—
1240C4⋊C4—28no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—28no—
1262C4⋊C4—28no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—41no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4C2×#4114yes—
1315C4⋊C4C2×#4118yes—
1316C22⋊C4—28no—
1317C22⋊C4—24no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—28no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4C2×#4118yes—
1347C22⋊C4C2×#4118yes—
1348C42—28no—
1349C42—28no—
1350C42—28no—
1351C42—24no—
1352C42—22no—
1353C42—24no—
1354C42—24no—
1355C42—24no—
1356C42—22no—
1357C42—22no—
1358C42—24no—
1359C42—22no—
1360C42—24no—
1361C42—24no—
1362C42—22no—
1363C42—22no—
1364C42—24no—
1365C42—22no—
1366C42—22no—
1367C42—24no—
1368C42—22no—
1369C42—22no—
1370C42—22no—
1371C42—24no—
1372C42—42no—
1373C42—42no—
1374C42—42no—
1375C42—42no—
1376C42—41no—
1377C42—42no—
1378C42—42no—
1379C42—41no—
1380C42—41no—
1381C42—42no—
1382C42—42no—
1383C42—44no—
1384C42—42no—
1385C42—42no—
1386C42—44no—
1387C42—42no—
1388C42—42no—
1389C42—44no—
1390C42—41no—
1391C42—41no—
1392C42—42no—
1393C42—42no—
1394C42—44no—
1395C42—42no—
1396C42C2×#4118yes—
1397C42C2×#4114yes—
1398C42C2×#4114yes—
1399C422−1+414yes—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23C22×#4114yes—
1414C23C2611yescharacteristic
1415Q8—28no—
1416Q8—28no—
1417Q8—48no—
1418Q8—44no—
1419Q8—48no—
1420D4—28no—
1421D4—48no—
1422D4—44no—
1423D4—84no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—24no—
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—21no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—24no—
1508C2×C4—416no—
1509C2×C4—48no—
1510C2×C4—48no—
1511C2×C4—84no—
1512C2×C4—84no—
1513C2×C4—84no—
1514C2×C4—84no—
1515C2×C4—164no—
1516C2×C4C22×#4112yes—
1517C2×C4C22×#4114yes—
1518C2×C4C22×#4114yes—
1519C2×C4C22×#4114yes—
1520C2×C4C22×#4112yes—
1521C2×C4C22×#4112yes—
1522C2×C4C22×#4112yes—
1523C2×C4C22×#4112yes—
1524C2×C4C22×#4112yes—
1525C2×C4C2×2−1+412yes—
1526C2×C4C2×2−1+412yes—
1527C2×C4C2×2−1+412yes—
1528C2×C4#58512yes—
1529C2×C4#58512yes—
1530C2×C4#58512yes—
1531C22—24no—
1532C22—24no—
1533C22—24no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22C23×#4111yescharacteristic
1546C22C23×#4111yescharacteristic
1547C22C22×2−1+411yescharacteristic
1548C22C2×#58511yescharacteristic
1549C22C2×#58511yescharacteristic
1550C22C2×#58511yescharacteristic
1551C222−1+611yescharacteristic
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—24no—
1556C4—24no—
1557C4—22no—
1558C4—24no—
1559C4—22no—
1560C4—22no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—44no—
1568C4—42no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—42no—
1573C4—44no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—44no—
1578C4—42no—
1579C4—42no—
1580C4—44no—
1581C4—41no—
1582C4—42no—
1583C4#350714yes—
1584C4#351514yes—
1585C2—44no—
1586C2—82no—
1587C2#41211yescharacteristic
1588C2C2×#350711yescharacteristic
1589C2C2×#351511yescharacteristic
1590C2#6295611yescharacteristic
1591C2#6299511yescharacteristic
1592C2#6300711yescharacteristic
1593C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#127C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59963C2semidirect
2. #59895C2semidirect
5. #59434C2semidirect
6. #59433C2semidirect
7. #59428C2semidirect
8. #59298C2semidirect
9. #59240C2semidirect
10. #44734C2semidirect
11. #43807C2semidirect
12. #43766C2semidirect
13. #40195C2semidirect
15. #39999C2semidirect
16. #39955C2semidirect
17. #39782C2semidirect
18. #39214C2semidirect
19. #36584C2semidirect
20. #36574C2semidirect
21. #36555C2semidirect
22. #36416C2semidirect
23. #36403C2semidirect
24. #36312C2semidirect
25. #36290C2semidirect
27. #36196C2semidirect
28. #35975C2semidirect
29. #34951C2semidirect
30. #34945C2semidirect
31. #34945C2semidirect
32. #34322C2semidirect
33. #34314C2semidirect
34. C4×#557C2semidirect

Maximal subgroups

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

subgroupindex
#599632
#598952
#598292
#596782
#594342
#594332
#594282
#592982
#592402
#447342
#438072
#437662
#401952
#400572
#399992
#399552
#397822
#392142
#365842
#365742
#365552
#364162
#364032
#363122
#362902
#362702
#361962
#359752
#349512
#349452
#343222
#343142
C4×#5572
C4×#5592