Finite Group Databasebeta

← #7693229

Subgroups — #7693229

Order 512.

4775 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59908C212yesmaximal, complemented
2#59863C211yesmaximal, characteristic, complemented
3#59760C214yesmaximal, complemented
4#59684C212yesmaximal, complemented
5#59679C211yesmaximal, characteristic, complemented
6#59585C212yesmaximal, complemented
7#59446C212yesmaximal, complemented
8#59443C211yesmaximal, characteristic, complemented
9#45299C212yesmaximal, complemented
10#44969C212yesmaximal, complemented
11#44257C214yesmaximal, complemented
12#43326C214yesmaximal, complemented
13#40025C212yesmaximal, complemented
14#40021C212yesmaximal, complemented
15#39771C211yesmaximal, characteristic, complemented
16#39770C211yesmaximal, characteristic
17#39229C214yesmaximal, complemented
18#39164C212yesmaximal, complemented
19#36602C212yesmaximal, complemented
20#36595C211yesmaximal, characteristic
21#36595C211yesmaximal, characteristic
22#36591C211yesmaximal, characteristic, complemented
23#36538C211yesmaximal, characteristic, complemented
24#36538C211yesmaximal, characteristic, complemented
25#36253C212yesmaximal, complemented
26#36253C212yesmaximal, complemented
27#35970C212yesmaximal, complemented
28#35968C212yesmaximal, complemented
29#34951C211yesmaximal, characteristic, complemented
30#34918C212yesmaximal, complemented
31#34331C211yesmaximal, characteristic, complemented
32#34329C212yesmaximal, complemented
33#34328C211yesmaximal, characteristic, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#559C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#559C2211yescharacteristic
38C2×#559C2211yescharacteristic
39C2×#557C2211yescharacteristic
40C2×#557C2211yescharacteristic
41#2867C2211yescharacteristic
42#2861C2212yes—
43#2861C2212yes—
44#2861C2212yes—
45#2858C2212yes—
46#2858C2211yescharacteristic
47#2858C2211yescharacteristic
48#2853C2214yes—
49#2808C2214yes—
50#2801C2214yes—
51#2800C2214yes—
52#2800C2214yes—
53#2796C2214yes—
54#2795C2214yes—
55#2780C2214yes—
56#2779C2214yes—
57#2776C2214yes—
58#2761C2214yes—
59#2761C2214yes—
60#2757C2214yes—
61#2757C2214yes—
62#2751C2214yes—
63#2731C2214yes—
64#2731C2214yes—
65#2718C2214yes—
66#2709C2214yes—
67#2709C2214yes—
68#2707C2214yes—
69#2707C2214yes—
70#2653C2214yes—
71#2651C2214yes—
72#2641C2212yes—
73#2640C2212yes—
74#2601C2214yes—
75#2597C2214yes—
76#2597C2214yes—
77#2597C2214yes—
78#2597C2214yes—
79#2595C2214yes—
80#2595C2214yes—
81#2593C2214yes—
82#2593C2214yes—
83#2592C2212yes—
84#2592C2212yes—
85#2592C2212yes—
86#2585C2212yes—
87#2585C2212yes—
88#2582C2211yescharacteristic
89#2580C2212yes—
90#2578C2214yes—
91#2578C2214yes—
92#2576C2214yes—
93#2572C2214yes—
94#2570C2212yes—
95#2568C2211yescharacteristic
96#2568C2211yescharacteristic
97#2568C2211yescharacteristic
98#2566C2212yes—
99#2566C2212yes—
100#2566C2212yes—
101#2565C2212yes—
102#2563C2212yes—
103#2558C2214yes—
104#2558C2214yes—
105#2558C2214yes—
106#2558C2214yes—
107#2558C2214yes—
108#2552C2211yescharacteristic
109#2548C2212yes—
110#2548C2211yescharacteristic
111#2548C2211yescharacteristic
112#2548C2212yes—
113#2548C2211yescharacteristic
114#2548C2212yes—
115#2548C2211yescharacteristic
116#2548C2212yes—
117#2548C2212yes—
118#2547C2212yes—
119#2546C2211yescharacteristic
120#2545C2212yes—
121#2545C2212yes—
122#2545C2212yes—
123#2545C2212yes—
124#2545C2212yes—
125#2545C2212yes—
126#2545C2212yes—
127#2544C2212yes—
128#2544C2212yes—
129#2544C2212yes—
130#2544C2212yes—
131#2544C2212yes—
132#2544C2212yes—
133#2533C2214yes—
134#2531C2214yes—
135#2531C2214yes—
136#2526C2214yes—
137#2526C2214yes—
138#2526C2214yes—
139#2526C2214yes—
140#2518C2214yes—
141#2518C2214yes—
142#2518C2214yes—
143#2516C2214yes—
144#2516C2214yes—
145#2514C2212yes—
146#2514C2212yes—
147#2513C2212yes—
148#2513C2212yes—
149#2513C2212yes—
150#2513C2212yes—
151#2513C2212yes—
152#2512C2212yes—
153#2512C2212yes—
154#2511C2212yes—
155#2511C2211yescharacteristic
156#2511C2211yescharacteristic
157#2510C2214yes—
158#2509C2212yes—
159#2485C2214yes—
160#2479C2214yes—
161#2470C2214yes—
162#2470C2214yes—
163#2468C2214yes—
164#2466C2214yes—
165#2460C2214yes—
166#2460C2214yes—
167#2460C2214yes—
168#2458C2214yes—
169#2458C2214yes—
170#2458C2214yes—
171#2453C2212yes—
172#2448C2212yes—
173#2448C2212yes—
174#2448C2212yes—
175#2447C2212yes—
176#2447C2212yes—
177#2447C2212yes—
178#2447C2212yes—
179#2446C2212yes—
180#2446C2211yescharacteristic
181#2446C2211yescharacteristic
182#2445C2212yes—
183#2445C2212yes—
184#2445C2212yes—
185#2445C2212yes—
186#2445C2214yes—
187#2445C2212yes—
188#2445C2212yes—
189#2445C2212yes—
190#2445C2212yes—
191#2445C2214yes—
192#2419C2214yes—
193#2402C2212yes—
194#2402C2212yes—
195#2398C2214yes—
196#2395C2214yes—
197#2374C2214yes—
198#2374C2214yes—
199#2374C2214yes—
200#2372C2214yes—
201#2371C2214yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2212yes—
205#2370C2211yescharacteristic
206#2370C2211yescharacteristic
207#2367C2212yes—
208#2367C2212yes—
209#2367C2212yes—
210#2367C2212yes—
211#2367C2212yes—
212#2367C2212yes—
213#2367C2212yes—
214#2367C2212yes—
215#2367C2212yes—
216#2367C2212yes—
217#2366C2212yes—
218#2366C2211yescharacteristic
219#2366C2211yescharacteristic
220#2366C2212yes—
221#2366C2212yes—
222#2366C2212yes—
223#2365C2212yes—
224#2365C2211yescharacteristic
225#2365C2211yescharacteristic
226#2365C2212yes—
227#2359C2214yes—
228#2359C2214yes—
229#2357C2212yes—
230#2357C2212yes—
231#2357C2212yes—
232#2357C2212yes—
233#2356C2212yes—
234#2356C2212yes—
235#2356C2212yes—
236#2356C2212yes—
237#2355C2211yescharacteristic
238#2355C2211yescharacteristic
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2355C2212yes—
242#2354C2212yes—
243#2354C2212yes—
244#2354C2212yes—
245#2353C2214yes—
246#2351C2211yescharacteristic
247#2351C2211yescharacteristic
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2211yescharacteristic
250#2349C2212yes—
251#2337C2214yes—
252#2336C2214yes—
253#2335C2214yes—
254#2335C2214yes—
255#2328C2212yes—
256#2327C2212yes—
257#2326C2212yes—
258#2326C2212yes—
259C4×C4⋊Q8C2212yes—
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×#127C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#127C2212yes—
268C4×#125C2212yes—
269C4×#125C2211yescharacteristic
270C4×#125C2212yes—
271C4×#125C2211yescharacteristic
272C4×#125C2212yes—
273C4×#125C2212yes—
274C4×#124C2212yes—
275C4×#124C2212yes—
276C4×#124C2212yes—
277C4×#124C2212yes—
278C4×#124C2212yes—
279C4×#124C2212yes—
280C4×#123C2214yes—
281C4×#123C2214yes—
282#2295C2212yes—
283#2295C2211yescharacteristic
284#2295C2212yes—
285#2295C2211yescharacteristic
286#2293C2212yes—
287#2290C2214yes—
288#2290C2214yes—
289#2276C2212yes—
290#2275C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2212yes—
298C42×D4C2212yes—
299#559—216no—
300#559—28no—
301#559—28no—
302#557—28no—
303#557—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×#117C2314yes—
387C2×#117C2314yes—
388C22×C42C2314yes—
389#401C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#399C2314yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2312yes—
408#398C2312yes—
409#398C2312yes—
410#398C2312yes—
411#398C2312yes—
412#398C2312yes—
413#398C2312yes—
414#398C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
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#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#391C2311yescharacteristic
468#391C2311yescharacteristic
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#382C2312yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#381C2314yes—
711#381C2314yes—
712#381C2314yes—
713#381C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2314yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C23×C4C2414yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2414yes—
838C4⋊Q8—28no—
839C4⋊Q8—28no—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—42no—
843C4⋊Q8—42no—
844C4⋊Q8—42no—
845#127—28no—
846#127—24no—
847#127—24no—
848#127—44no—
849#127—44no—
850#127—44no—
851#127—44no—
852#127—82no—
853#126—84no—
854#125—28no—
855#125—28no—
856#125—216no—
857#125—24no—
858#125—28no—
859#125—24no—
860#125—44no—
861#124—28no—
862#124—28no—
863#124—216no—
864#124—28no—
865#124—28no—
866#124—28no—
867#124—28no—
868#124—44no—
869#124—44no—
870#124—44no—
871#124—44no—
872#124—44no—
873#124—44no—
874#123—216no—
875#123—216no—
876#123—216no—
877#123—216no—
878#123—48no—
879#123—84no—
880C4×Q8—28no—
881C4×Q8—28no—
882C4×Q8—24no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—24no—
887C4×Q8—28no—
888C4×Q8—24no—
889C4×Q8—24no—
890C4×Q8—44no—
891C4×Q8—42no—
892C4×Q8—44no—
893C4×Q8—42no—
894C4×Q8—42no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—42no—
898C4×Q8—42no—
899C4×Q8—42no—
900C4×Q8—42no—
901C4×Q8#4118yes—
902C4×Q8#4118yes—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—216no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—48no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—82no—
918C4×D4—84no—
919C4×D4—82no—
920#117—84no—
921#117—84no—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C42—84no—
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163C24C2514yes—
1164C24C2514yes—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—24no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—41no—
1181C2×Q8—42no—
1182C2×Q8—41no—
1183C2×Q8—42no—
1184C2×Q8C2×#4114yes—
1185C2×Q8C2×#4114yes—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—28no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—42no—
1204C2×D4—44no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—44no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C22×C4—28no—
1217C22×C4—28no—
1218C22×C4—28no—
1219C22×C4—28no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—28no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—28no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—41no—
1309C4⋊C4—42no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4C2×#4114yes—
1337C4⋊C4C2×#4114yes—
1338C4⋊C4C2×#4114yes—
1339C4⋊C4C2×#4118yes—
1340C4⋊C4C2×#4114yes—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
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⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C42—28no—
1384C42—24no—
1385C42—24no—
1386C42—24no—
1387C42—24no—
1388C42—28no—
1389C42—24no—
1390C42—24no—
1391C42—22no—
1392C42—24no—
1393C42—24no—
1394C42—22no—
1395C42—24no—
1396C42—24no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—24no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—42no—
1407C42—42no—
1408C42—44no—
1409C42—44no—
1410C42—42no—
1411C42—44no—
1412C42—42no—
1413C42—41no—
1414C42—41no—
1415C42—42no—
1416C42—42no—
1417C42—42no—
1418C42—42no—
1419C42—41no—
1420C42—41no—
1421C42—42no—
1422C42—42no—
1423C42—42no—
1424C42—44no—
1425C42—44no—
1426C42—42no—
1427C42—41no—
1428C42C2×#4114yes—
1429C42C2×#4118yes—
1430C42C2×#4114yes—
1431C42C2×#4114yes—
1432C42C2×#4114yes—
1433C23—24no—
1434C23—24no—
1435C23—24no—
1436C23—24no—
1437C23—24no—
1438C23—24no—
1439C23—24no—
1440C23—24no—
1441C23—24no—
1442C23—24no—
1443C23—24no—
1444C23—24no—
1445C23—24no—
1446C23—24no—
1447C23C2611yescharacteristic
1448Q8—28no—
1449Q8—44no—
1450Q8—48no—
1451Q8—48no—
1452Q8—44no—
1453Q8—44no—
1454Q8—44no—
1455D4—48no—
1456D4—48no—
1457D4—48no—
1458D4—48no—
1459D4—84no—
1460D4—84no—
1461D4—88no—
1462D4—88no—
1463D4—88no—
1464D4—164no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—88no—
1549C2×C4—88no—
1550C2×C4—88no—
1551C2×C4—88no—
1552C2×C4—88no—
1553C2×C4—164no—
1554C2×C4C22×#4112yes—
1555C2×C4C22×#4112yes—
1556C2×C4C22×#4114yes—
1557C2×C4C22×#4112yes—
1558C2×C4C22×#4112yes—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4114yes—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4112yes—
1563C2×C4C22×#4112yes—
1564C2×C4C22×#4112yes—
1565C2×C4C22×#4112yes—
1566C2×C4#58512yes—
1567C2×C4#58512yes—
1568C2×C4#58512yes—
1569C2×C4#58512yes—
1570C22—44no—
1571C22—44no—
1572C22—44no—
1573C22—44no—
1574C22—44no—
1575C22—44no—
1576C22—44no—
1577C22—44no—
1578C22—44no—
1579C22—44no—
1580C22—44no—
1581C22—44no—
1582C22—44no—
1583C22—44no—
1584C22C23×#4111yescharacteristic
1585C22C23×#4111yescharacteristic
1586C22C2×#58511yescharacteristic
1587C22C2×#58511yescharacteristic
1588C22C2×#58511yescharacteristic
1589C22C2×#58511yescharacteristic
1590C22H(7,𝔽2)11yescharacteristic
1591C4—24no—
1592C4—22no—
1593C4—22no—
1594C4—22no—
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—24no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—44no—
1605C4—42no—
1606C4—41no—
1607C4—41no—
1608C4—42no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—42no—
1614C4—42no—
1615C4—44no—
1616C4—41no—
1617C4—41no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—41no—
1622C4#348014yes—
1623C4#352414yes—
1624C2—84no—
1625C2—84no—
1626C2C2×#348011yescharacteristic
1627C2C2×#352411yescharacteristic
1628C2#6281511yescharacteristic
1629C2#6296911yescharacteristic
1630C2#6301011yescharacteristic
1631C2#6301011yescharacteristic
1632C2#6303011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2867C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59908C2semidirect
2. #59863C2semidirect
3. #59760C2semidirect
4. #59684C2semidirect
5. #59679C2semidirect
6. #59585C2semidirect
7. #59446C2semidirect
8. #59443C2semidirect
9. #45299C2semidirect
10. #44969C2semidirect
11. #44257C2semidirect
12. #43326C2semidirect
13. #40025C2semidirect
14. #40021C2semidirect
15. #39771C2semidirect
17. #39229C2semidirect
18. #39164C2semidirect
19. #36602C2semidirect
22. #36591C2semidirect
23. #36538C2semidirect
24. #36538C2semidirect
25. #36253C2semidirect
26. #36253C2semidirect
27. #35970C2semidirect
28. #35968C2semidirect
29. #34951C2semidirect
30. #34918C2semidirect
31. #34331C2semidirect
32. #34329C2semidirect
33. #34328C2semidirect
34. C4×#557C2semidirect
35. C4×#559C2semidirect

Maximal subgroups

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

subgroupindex
#599082
#598632
#597602
#596842
#596792
#595852
#594462
#594432
#452992
#449692
#442572
#433262
#400252
#400212
#397712
#397702
#392292
#391642
#366022
#365952
#365912
#365382
#362532
#359702
#359682
#349512
#349182
#343312
#343292
#343282
C4×#5572
C4×#5592