Finite Group Databasebeta

← #7688595

Subgroups — #7688595

Order 512.

4739 conjugacy classes of subgroups.

The subgroup lattice has 1641 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59507C212yesmaximal, complemented
2#59457C211yesmaximal, characteristic, complemented
3#59449C212yesmaximal, complemented
4#59448C212yesmaximal, complemented
5#59332C212yesmaximal, complemented
6#59321C211yesmaximal, characteristic, complemented
7#59256C211yesmaximal, characteristic, complemented
8#59227C212yesmaximal, complemented
9#59076C212yesmaximal, complemented
10#44119C214yesmaximal, complemented
11#43748C214yesmaximal, complemented
12#43670C214yesmaximal, complemented
13#40034C212yesmaximal, complemented
14#40027C212yesmaximal, complemented
15#39226C212yesmaximal, complemented
16#39217C212yesmaximal, complemented
17#39145C212yesmaximal, complemented
18#38982C212yesmaximal, complemented
19#36587C211yesmaximal, characteristic, complemented
20#36587C211yesmaximal, characteristic, complemented
21#36584C211yesmaximal, characteristic, complemented
22#36535C211yesmaximal, characteristic, complemented
23#36460C211yesmaximal, characteristic, complemented
24#36294C212yesmaximal, complemented
25#36184C212yesmaximal, complemented
26#36182C211yesmaximal, characteristic
27#36117C211yesmaximal, characteristic, complemented
28#35889C214yesmaximal, complemented
29#34954C211yesmaximal, characteristic, complemented
30#34948C211yesmaximal, characteristic, complemented
31C2×#2571C211yesmaximal, characteristic, complemented
32#34323C212yesmaximal, complemented
33#34229C212yesmaximal, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#552C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#553C2212yes—
38C2×#552C2211yescharacteristic
39C2×#529C2212yes—
40#2864C2212yes—
41#2860C2212yes—
42#2859C2211yescharacteristic
43#2859C2212yes—
44#2856C2211yescharacteristic
45#2856C2211yescharacteristic
46#2854C2212yes—
47#2850C2212yes—
48#2850C2212yes—
49#2796C2214yes—
50#2791C2214yes—
51#2787C2214yes—
52#2783C2214yes—
53#2783C2214yes—
54#2782C2214yes—
55#2781C2214yes—
56#2781C2214yes—
57#2780C2214yes—
58#2777C2214yes—
59#2773C2214yes—
60#2772C2214yes—
61#2770C2214yes—
62#2765C2214yes—
63#2754C2214yes—
64#2750C2214yes—
65#2739C2214yes—
66#2725C2214yes—
67#2725C2214yes—
68#2723C2214yes—
69#2689C2214yes—
70#2652C2214yes—
71#2650C2214yes—
72#2643C2214yes—
73#2597C2214yes—
74#2597C2214yes—
75#2596C2214yes—
76#2593C2214yes—
77#2590C2214yes—
78#2588C2214yes—
79#2582C2211yescharacteristic
80#2581C2212yes—
81#2580C2212yes—
82#2577C2214yes—
83#2575C2214yes—
84#2575C2214yes—
85#2571C2212yes—
86#2571C2212yes—
87#2571C2212yes—
88#2571C2211yescharacteristic
89#2571C2212yes—
90#2571C2214yes—
91#2571C2212yes—
92#2571C2212yes—
93#2571C2211yescharacteristic
94#2571C2211yescharacteristic
95#2571C2211yescharacteristic
96#2571C2211yescharacteristic
97#2570C2212yes—
98#2570C2212yes—
99#2570C2212yes—
100#2570C2212yes—
101#2569C2214yes—
102#2566C2212yes—
103#2566C2212yes—
104#2566C2212yes—
105#2565C2212yes—
106#2565C2212yes—
107#2562C2214yes—
108#2559C2214yes—
109#2553C2214yes—
110#2553C2214yes—
111#2552C2211yescharacteristic
112#2552C2211yescharacteristic
113#2552C2212yes—
114#2550C2212yes—
115#2548C2211yescharacteristic
116#2548C2211yescharacteristic
117#2538C2212yes—
118#2530C2214yes—
119#2529C2214yes—
120#2529C2214yes—
121#2528C2214yes—
122#2526C2214yes—
123#2519C2214yes—
124#2519C2214yes—
125#2517C2214yes—
126#2515C2214yes—
127#2514C2212yes—
128#2513C2212yes—
129#2513C2212yes—
130#2513C2212yes—
131#2513C2212yes—
132#2513C2212yes—
133#2513C2212yes—
134#2512C2212yes—
135#2512C2212yes—
136#2512C2212yes—
137#2512C2212yes—
138#2511C2212yes—
139#2509C2214yes—
140#2509C2212yes—
141#2509C2212yes—
142#2509C2214yes—
143#2508C2212yes—
144#2506C2212yes—
145#2504C2212yes—
146#2504C2212yes—
147#2504C2212yes—
148#2502C2212yes—
149#2501C2212yes—
150#2500C2212yes—
151#2500C2212yes—
152#2499C2212yes—
153#2498C2214yes—
154#2494C2212yes—
155#2493C2214yes—
156#2489C2214yes—
157#2488C2214yes—
158#2481C2214yes—
159#2479C2214yes—
160#2478C2214yes—
161#2475C2214yes—
162#2475C2214yes—
163#2473C2214yes—
164#2454C2212yes—
165#2454C2212yes—
166#2452C2212yes—
167#2450C2214yes—
168#2449C2214yes—
169#2448C2212yes—
170#2448C2212yes—
171#2448C2212yes—
172#2447C2212yes—
173#2447C2212yes—
174#2444C2214yes—
175#2444C2214yes—
176#2442C2212yes—
177#2442C2212yes—
178#2442C2212yes—
179#2426C2212yes—
180#2425C2214yes—
181#2425C2214yes—
182#2425C2214yes—
183#2422C2212yes—
184#2422C2212yes—
185#2421C2212yes—
186#2420C2212yes—
187#2419C2214yes—
188#2416C2212yes—
189#2416C2212yes—
190#2415C2214yes—
191#2402C2214yes—
192#2395C2214yes—
193C2×#400C2214yes—
194#2373C2214yes—
195#2373C2212yes—
196#2371C2212yes—
197#2370C2212yes—
198#2370C2211yescharacteristic
199#2370C2212yes—
200#2369C2211yescharacteristic
201#2368C2212yes—
202#2368C2212yes—
203#2366C2211yescharacteristic
204#2366C2211yescharacteristic
205#2363C2212yes—
206#2362C2211yescharacteristic
207#2361C2212yes—
208#2361C2214yes—
209#2361C2212yes—
210#2361C2212yes—
211#2361C2212yes—
212#2361C2212yes—
213#2360C2211yescharacteristic
214#2360C2211yescharacteristic
215#2360C2211yescharacteristic
216#2360C2212yes—
217#2359C2214yes—
218#2359C2214yes—
219#2359C2214yes—
220#2359C2212yes—
221#2359C2214yes—
222#2357C2212yes—
223#2357C2212yes—
224#2357C2212yes—
225#2356C2211yescharacteristic
226#2356C2212yes—
227#2355C2211yescharacteristic
228#2355C2212yes—
229#2355C2211yescharacteristic
230#2355C2211yescharacteristic
231#2354C2212yes—
232#2352C2211yescharacteristic
233#2352C2214yes—
234#2351C2212yes—
235#2351C2212yes—
236Q8×C4⋊C4C2211yescharacteristic
237Q8×C4⋊C4C2211yescharacteristic
238#2349C2212yes—
239#2349C2212yes—
240#2349C2212yes—
241D4×C4⋊C4C2211yescharacteristic
242#2346C2212yes—
243#2346C2211yescharacteristic
244#2346C2214yes—
245#2345C2212yes—
246#2345C2211yescharacteristic
247#2345C2211yescharacteristic
248#2344C2211yescharacteristic
249#2343C2212yes—
250#2343C2214yes—
251#2335C2214yes—
252#2334C2214yes—
253#2334C2214yes—
254#2334C2214yes—
255#2325C2214yes—
256#2318C2214yes—
257C4×C4⋊Q8C2211yescharacteristic
258C4×#127C2211yescharacteristic
259C4×#125C2212yes—
260C4×#125C2212yes—
261C4×#125C2212yes—
262C4×#125C2212yes—
263C4×#125C2212yes—
264C4×#125C2211yescharacteristic
265C4×#125C2212yes—
266C4×#126C2212yes—
267C4×#124C2212yes—
268C4×#124C2212yes—
269C4×#124C2212yes—
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×#123C2212yes—
277C4×#121C2212yes—
278C4×#121C2212yes—
279#2296C2212yes—
280#2293C2212yes—
281#2293C2212yes—
282C2×#389C2212yes—
283C2×#389C2212yes—
284#2285C2211yescharacteristic
285#2285C2212yes—
286C2×#384C2211yescharacteristic
287C2×#382C2212yes—
288C2×#382C2212yes—
289#2275C2214yes—
290C42×Q8C2211yescharacteristic
291C42×Q8C2211yescharacteristic
292C42×D4C2212yes—
293C42×D4C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2212yes—
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#554—28no—
300#553—216no—
301#552—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×#127C2311yescharacteristic
304#529—216no—
305C2×#126C2312yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2311yescharacteristic
361C2×#117C2314yes—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2314yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2314yes—
377C22×C4⋊C4C2312yes—
378C22×C42C2312yes—
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2312yes—
382C22×C42C2312yes—
383#401C2314yes—
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#400C2314yes—
403#400C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#393C2314yes—
453#391C2312yes—
454#391C2311yescharacteristic
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2314yes—
460#391C2311yescharacteristic
461#391C2311yescharacteristic
462#391C2311yescharacteristic
463#391C2312yes—
464#391C2312yes—
465#390C2312yes—
466#390C2312yes—
467#390C2312yes—
468#390C2312yes—
469#390C2312yes—
470#390C2312yes—
471#390C2312yes—
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#390C2312yes—
485#389C2311yescharacteristic
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2311yescharacteristic
490#389C2311yescharacteristic
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2312yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#388C2312yes—
537#388C2312yes—
538#388C2312yes—
539#388C2314yes—
540#388C2314yes—
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#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#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2312yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2312yes—
584#387C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2314yes—
592#387C2312yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#386C2314yes—
622#386C2314yes—
623#386C2312yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#385C2312yes—
657#385C2314yes—
658#384C2311yescharacteristic
659#384C2311yescharacteristic
660#384C2312yes—
661#384C2312yes—
662#384C2312yes—
663#384C2312yes—
664#384C2312yes—
665#384C2311yescharacteristic
666#384C2312yes—
667#384C2311yescharacteristic
668#384C2312yes—
669#383C2312yes—
670#383C2314yes—
671#382C2311yescharacteristic
672#382C2312yes—
673#382C2312yes—
674#382C2312yes—
675#382C2312yes—
676#382C2312yes—
677#382C2312yes—
678#382C2312yes—
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2314yes—
686#382C2312yes—
687#382C2314yes—
688#382C2314yes—
689#382C2312yes—
690#382C2314yes—
691#382C2314yes—
692#382C2314yes—
693#382C2314yes—
694#382C2312yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2312yes—
699#380C2312yes—
700#380C2314yes—
701#380C2314yes—
702#380C2314yes—
703#380C2312yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2311yescharacteristic
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2311yescharacteristic
712#380C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C22⋊C4C2311yescharacteristic
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799#376C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2314yes—
803C2×#95C2312yes—
804C2×#95C2314yes—
805C2×#95C2314yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C43C2312yes—
811C43C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×D4C2414yes—
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2414yes—
822C22×D4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2414yes—
839C4⋊Q8—24no—
840#127—24no—
841#126—216no—
842#126—216no—
843#126—28no—
844#126—84no—
845#125—28no—
846#125—28no—
847#125—28no—
848#125—24no—
849#125—28no—
850#125—44no—
851#125—84no—
852#124—28no—
853#124—44no—
854#123—28no—
855#123—216no—
856#123—216no—
857#123—48no—
858C22⋊Q8—24no—
859C22⋊Q8—24no—
860C22⋊Q8—24no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—84no—
864C22⋊Q8#4118yes—
865#121—216no—
866#121—28no—
867#121—28no—
868#121—28no—
869#121—44no—
870#121—44no—
871#121—82no—
872C4×Q8—28no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—24no—
877C4×Q8—44no—
878C4×Q8—42no—
879C4×Q8—44no—
880C4×Q8—42no—
881C4×D4—24no—
882C4×D4—28no—
883C4×D4—216no—
884C4×D4—216no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—42no—
892C4×D4—48no—
893C4×D4—44no—
894C4×D4—82no—
895C4×D4—84no—
896C4×D4#4118yes—
897#117—24no—
898#117—28no—
899#117—216no—
900#117—28no—
901#117—44no—
902#117—42no—
903#117—84no—
904C2×C4⋊C4—24no—
905C2×C4⋊C4—28no—
906C2×C4⋊C4—24no—
907C2×C4⋊C4—24no—
908C2×C4⋊C4—42no—
909C2×C4⋊C4—42no—
910C2×C4⋊C4—42no—
911C2×C4⋊C4—44no—
912C2×C4⋊C4—84no—
913C2×C4⋊C4—82no—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C42—28no—
1031C2×C42—24no—
1032C2×C42—24no—
1033C2×C42—44no—
1034C2×C42—44no—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2414yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2411yescharacteristic
1121#95C2412yes—
1122#95C2411yescharacteristic
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2411yescharacteristic
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157C24C2514yes—
1158C24C2511yescharacteristic
1159C24C2511yescharacteristic
1160C2×Q8—22no—
1161C2×Q8—24no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8C2×#4114yes—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—28no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—42no—
1183C2×D4—44no—
1184C2×D4—42no—
1185C2×D4—44no—
1186C2×D4C2×#4114yes—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—24no—
1198C22×C4—28no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—24no—
1206C22×C4—28no—
1207C22×C4—28no—
1208C22×C4—22no—
1209C22×C4—41no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—41no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—44no—
1228C22×C4—41no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4C2×#4114yes—
1233C22×C4C2×#4114yes—
1234C22×C4C2×#4114yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2514yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—28no—
1283C4⋊C4—22no—
1284C4⋊C4—28no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—41no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4C2×#4114yes—
1341C4⋊C4C2×#4118yes—
1342C4⋊C4C2×#4114yes—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—22no—
1347C22⋊C4—24no—
1348C22⋊C4—22no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—22no—
1356C22⋊C4—24no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—41no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4C2×#4114yes—
1381C22⋊C4C2×#4118yes—
1382C22⋊C4C2×#4114yes—
1383C42—24no—
1384C42—24no—
1385C42—24no—
1386C42—24no—
1387C42—24no—
1388C42—28no—
1389C42—28no—
1390C42—24no—
1391C42—24no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—22no—
1397C42—22no—
1398C42—22no—
1399C42—24no—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—22no—
1405C42—24no—
1406C42—22no—
1407C42—42no—
1408C42—42no—
1409C42—42no—
1410C42—42no—
1411C42—42no—
1412C42—42no—
1413C42—42no—
1414C42—42no—
1415C42—42no—
1416C42—41no—
1417C42—42no—
1418C42—44no—
1419C42—41no—
1420C42—44no—
1421C42—42no—
1422C42—44no—
1423C42—42no—
1424C42—42no—
1425C42C2×#4114yes—
1426C422−1+414yes—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—24no—
1438C23—24no—
1439C23—24no—
1440C23—24no—
1441C23—24no—
1442C23—24no—
1443C23—24no—
1444C23C22×#4112yes—
1445C23C22×#4112yes—
1446C23C22×#4112yes—
1447C23#58512yes—
1448C23C2611yescharacteristic
1449Q8—28no—
1450Q8—44no—
1451Q8—84no—
1452D4—28no—
1453D4—416no—
1454D4—48no—
1455D4—48no—
1456D4—84no—
1457D4—88no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—28no—
1475C2×C4—28no—
1476C2×C4—28no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—44no—
1544C2×C4—48no—
1545C2×C4—44no—
1546C2×C4—84no—
1547C2×C4—88no—
1548C2×C4—88no—
1549C2×C4—82no—
1550C2×C4—84no—
1551C2×C4—84no—
1552C2×C4—88no—
1553C2×C4—84no—
1554C2×C4—84no—
1555C2×C4—164no—
1556C2×C4C22×#4112yes—
1557C2×C4C22×#4112yes—
1558C2×C4C22×#4114yes—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4114yes—
1563C2×C4C22×#4112yes—
1564C2×C4C22×#4112yes—
1565C2×C4C2×2−1+412yes—
1566C2×C4C2×2−1+412yes—
1567C2×C4C2×2−1+412yes—
1568C2×C4#58512yes—
1569C2×C4#58512yes—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—44no—
1584C22—44no—
1585C22—44no—
1586C22—44no—
1587C22—44no—
1588C22—44no—
1589C22—44no—
1590C22#348014yes—
1591C22C23×#4111yescharacteristic
1592C22C23×#4111yescharacteristic
1593C22C22×2−1+411yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22C2×#58511yescharacteristic
1596C22C2×#58511yescharacteristic
1597C22H(7,𝔽2)11yescharacteristic
1598C4—24no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—24no—
1604C4—22no—
1605C4—22no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—41no—
1611C4—42no—
1612C4—44no—
1613C4—44no—
1614C4—41no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—41no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—41no—
1624C4—41no—
1625C4—42no—
1626C4—42no—
1627C4—44no—
1628C4#351514yes—
1629C4#351514yes—
1630C2—24no—
1631C2—42no—
1632C2—84no—
1633C2C2×#348011yescharacteristic
1634C2C2×#351511yescharacteristic
1635C2C2×#351511yescharacteristic
1636C2#6295811yescharacteristic
1637C2#6299411yescharacteristic
1638C2#6301011yescharacteristic
1639C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36182C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59507C2semidirect
2. #59457C2semidirect
3. #59449C2semidirect
4. #59448C2semidirect
5. #59332C2semidirect
6. #59321C2semidirect
7. #59256C2semidirect
8. #59227C2semidirect
9. #59076C2semidirect
10. #44119C2semidirect
11. #43748C2semidirect
12. #43670C2semidirect
13. #40034C2semidirect
14. #40027C2semidirect
15. #39226C2semidirect
16. #39217C2semidirect
17. #39145C2semidirect
18. #38982C2semidirect
19. #36587C2semidirect
20. #36587C2semidirect
21. #36584C2semidirect
22. #36535C2semidirect
23. #36460C2semidirect
24. #36294C2semidirect
25. #36184C2semidirect
27. #36117C2semidirect
28. #35889C2semidirect
29. #34954C2semidirect
30. #34948C2semidirect
31. C2×#2571C2semidirect
32. #34323C2semidirect
33. #34229C2semidirect
34. C4×#554C2semidirect
35. C4×#552C2semidirect

Maximal subgroups

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

subgroupindex
#595072
#594572
#594492
#594482
#593322
#593212
#592562
#592272
#590762
#441192
#437482
#436702
#400342
#400272
#392262
#392172
#391452
#389822
#365872
#365842
#365352
#364602
#362942
#361842
#361822
#361172
#358892
#349542
#349482
C2×#25712
#343232
#342292
C4×#5542
C4×#5522