Finite Group Databasebeta

← #7699827

Subgroups — #7699827

Order 512.

5161 conjugacy classes of subgroups.

The subgroup lattice has 1711 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59893C212yesmaximal, complemented
2#59889C214yesmaximal, complemented
3#59747C214yesmaximal, complemented
4#59646C211yesmaximal, characteristic, complemented
5#59643C212yesmaximal, complemented
6#59617C214yesmaximal, complemented
7#59485C212yesmaximal, complemented
8#59307C212yesmaximal, complemented
9#59250C212yesmaximal, complemented
10#59245C211yesmaximal, characteristic, complemented
11#59243C211yesmaximal, characteristic, complemented
12#59104C212yesmaximal, complemented
13#36591C212yesmaximal, complemented
14#36580C211yesmaximal, characteristic, complemented
15#36497C211yesmaximal, characteristic, complemented
16#36495C212yesmaximal, complemented
17#36494C212yesmaximal, complemented
18#36493C211yesmaximal, characteristic, complemented
19#36420C212yesmaximal, complemented
20#36399C212yesmaximal, complemented
21#36397C214yesmaximal, complemented
22#36312C211yesmaximal, characteristic, complemented
23#36273C211yesmaximal, characteristic, complemented
24#36269C212yesmaximal, complemented
25#36252C212yesmaximal, complemented
26#36211C211yesmaximal, characteristic, complemented
27#36202C212yesmaximal, complemented
28#36117C211yesmaximal, characteristic, complemented
29C4×#559C211yesmaximal, characteristic, complemented
30C4×#555C212yesmaximal, complemented
31C4×#552C211yesmaximal, characteristic, complemented
32C4×#548C211yesmaximal, characteristic, complemented
33#34151C212yesmaximal, complemented
34Q8×#117C211yesmaximal, characteristic, complemented
35#34121C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#555C2212yes—
38C2×#552C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#529C2212yes—
41C2×C4×#41C2211yescharacteristic
42C22×C4×Q8C2211yescharacteristic
43#2865C2214yes—
44#2864C2212yes—
45#2861C2214yes—
46#2860C2212yes—
47#2859C2211yescharacteristic
48#2858C2212yes—
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2854C2212yes—
52#2853C2214yes—
53#2850C2212yes—
54#2850C2212yes—
55#2803C2214yes—
56#2788C2214yes—
57#2786C2214yes—
58#2777C2214yes—
59#2773C2214yes—
60#2759C2214yes—
61#2741C2214yes—
62#2710C2214yes—
63#2703C2214yes—
64#2611C2214yes—
65#2610C2214yes—
66#2610C2214yes—
67#2607C2214yes—
68#2602C2214yes—
69#2596C2214yes—
70#2595C2214yes—
71#2595C2214yes—
72#2594C2214yes—
73#2592C2212yes—
74#2588C2214yes—
75#2582C2211yescharacteristic
76#2580C2212yes—
77#2578C2214yes—
78#2578C2214yes—
79#2576C2214yes—
80#2570C2212yes—
81#2568C2212yes—
82#2560C2214yes—
83#2559C2214yes—
84#2557C2214yes—
85#2557C2214yes—
86#2555C2214yes—
87#2554C2214yes—
88#2552C2211yescharacteristic
89#2551C2211yescharacteristic
90#2550C2212yes—
91#2548C2211yescharacteristic
92#2548C2212yes—
93#2541C2211yescharacteristic
94#2540C2212yes—
95#2538C2211yescharacteristic
96#2535C2212yes—
97#2535C2212yes—
98#2532C2214yes—
99#2531C2214yes—
100#2531C2214yes—
101#2530C2214yes—
102#2529C2214yes—
103#2527C2214yes—
104#2527C2214yes—
105#2525C2214yes—
106#2521C2214yes—
107#2521C2214yes—
108#2520C2214yes—
109#2519C2214yes—
110#2517C2214yes—
111#2516C2214yes—
112#2516C2214yes—
113#2516C2214yes—
114#2513C2212yes—
115#2513C2212yes—
116#2513C2212yes—
117#2513C2212yes—
118#2512C2212yes—
119#2511C2212yes—
120#2509C2212yes—
121#2508C2212yes—
122#2501C2212yes—
123#2500C2212yes—
124#2499C2212yes—
125#2497C2212yes—
126#2496C2212yes—
127#2494C2212yes—
128#2494C2212yes—
129#2492C2212yes—
130#2491C2212yes—
131#2491C2212yes—
132#2490C2212yes—
133#2490C2212yes—
134#2490C2212yes—
135#2490C2212yes—
136#2479C2214yes—
137#2477C2214yes—
138#2471C2214yes—
139#2471C2214yes—
140#2467C2214yes—
141#2467C2214yes—
142#2466C2214yes—
143#2464C2214yes—
144#2462C2214yes—
145#2459C2214yes—
146#2458C2214yes—
147#2458C2214yes—
148#2457C2214yes—
149#2457C2214yes—
150#2456C2214yes—
151#2454C2212yes—
152#2453C2212yes—
153#2451C2212yes—
154#2448C2212yes—
155#2448C2212yes—
156#2448C2212yes—
157#2448C2214yes—
158#2448C2212yes—
159#2447C2214yes—
160#2445C2212yes—
161#2443C2214yes—
162#2439C2212yes—
163#2436C2212yes—
164#2431C2212yes—
165#2428C2212yes—
166#2425C2214yes—
167#2423C2212yes—
168#2422C2212yes—
169#2420C2212yes—
170#2420C2212yes—
171#2415C2212yes—
172#2414C2212yes—
173#2414C2212yes—
174#2414C2212yes—
175#2374C2214yes—
176#2374C2214yes—
177#2374C2214yes—
178#2374C2214yes—
179#2373C2214yes—
180#2373C2212yes—
181#2373C2214yes—
182#2372C2214yes—
183#2372C2214yes—
184#2371C2212yes—
185#2370C2212yes—
186#2370C2212yes—
187#2370C2211yescharacteristic
188#2369C2212yes—
189#2367C2212yes—
190#2367C2212yes—
191#2367C2212yes—
192#2367C2211yescharacteristic
193#2367C2212yes—
194#2367C2212yes—
195#2366C2211yescharacteristic
196#2366C2212yes—
197#2365C2212yes—
198#2363C2212yes—
199#2363C2212yes—
200#2363C2214yes—
201#2363C2212yes—
202#2363C2212yes—
203#2363C2212yes—
204#2362C2212yes—
205#2362C2212yes—
206#2362C2211yescharacteristic
207#2362C2212yes—
208#2362C2211yescharacteristic
209#2361C2212yes—
210#2361C2211yescharacteristic
211#2361C2212yes—
212#2361C2212yes—
213#2360C2211yescharacteristic
214#2359C2212yes—
215#2357C2212yes—
216#2357C2212yes—
217#2357C2212yes—
218#2357C2212yes—
219#2356C2211yescharacteristic
220#2356C2212yes—
221#2355C2212yes—
222#2355C2211yescharacteristic
223#2355C2211yescharacteristic
224#2355C2212yes—
225#2355C2211yescharacteristic
226#2355C2211yescharacteristic
227#2354C2212yes—
228#2354C2211yescharacteristic
229#2354C2211yescharacteristic
230#2354C2212yes—
231#2353C2214yes—
232#2352C2212yes—
233#2352C2212yes—
234#2352C2212yes—
235#2352C2211yescharacteristic
236#2352C2211yescharacteristic
237#2351C2211yescharacteristic
238Q8×C4⋊C4C2211yescharacteristic
239Q8×C4⋊C4C2211yescharacteristic
240#2346C2211yescharacteristic
241#2346C2212yes—
242#2346C2214yes—
243#2345C2214yes—
244#2345C2212yes—
245#2344C2211yescharacteristic
246#2343C2212yes—
247#2341C2211yescharacteristic
248Q8×C22⋊C4C2212yes—
249Q8×C22⋊C4C2211yescharacteristic
250C4×C4⋊Q8C2212yes—
251C4×#127C2211yescharacteristic
252C4×#125C2211yescharacteristic
253C4×#125C2212yes—
254C4×#126C2212yes—
255C4×#124C2212yes—
256C4×#124C2214yes—
257C4×#124C2212yes—
258C4×#124C2212yes—
259C4×#124C2211yescharacteristic
260C4×#124C2214yes—
261C4×C22⋊Q8C2211yescharacteristic
262C4×C22⋊Q8C2212yes—
263C4×C22⋊Q8C2211yescharacteristic
264C4×C22⋊Q8C2211yescharacteristic
265C4×#123C2214yes—
266C4×#123C2212yes—
267C4×#121C2211yescharacteristic
268C4×#121C2212yes—
269C4×#121C2212yes—
270C4×#121C2214yes—
271C4×#121C2212yes—
272#2298C2214yes—
273#2298C2214yes—
274#2297C2212yes—
275#2295C2214yes—
276#2295C2212yes—
277#2295C2212yes—
278#2293C2214yes—
279#2293C2212yes—
280#2290C2214yes—
281#2285C2211yescharacteristic
282#2285C2212yes—
283#2285C2211yescharacteristic
284#2283C2212yes—
285C42×Q8C2212yes—
286C42×Q8C2211yescharacteristic
287C42×Q8C2211yescharacteristic
288C42×D4C2212yes—
289C42×D4C2212yes—
290C42×D4C2211yescharacteristic
291C42×D4C2212yes—
292C4×#117C2214yes—
293C4×#117C2212yes—
294C4×#117C2212yes—
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#559—28no—
302#555—216no—
303#552—28no—
304#548—28no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309#529—216no—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#124C2312yes—
318C2×#124C2314yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2311yescharacteristic
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C4×#41—28no—
347C2×C4×Q8—28no—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2314yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2314yes—
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2314yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2311yescharacteristic
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C42C2312yes—
400C22×C42C2312yes—
401C22×C42C2312yes—
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2314yes—
405#401C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
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#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#395C2314yes—
439#395C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#392C2314yes—
455#392C2314yes—
456#392C2314yes—
457#392C2314yes—
458#392C2314yes—
459#391C2314yes—
460#391C2314yes—
461#391C2311yescharacteristic
462#391C2312yes—
463#391C2314yes—
464#391C2314yes—
465#391C2312yes—
466#391C2314yes—
467#391C2311yescharacteristic
468#391C2311yescharacteristic
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2314yes—
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#390C2314yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2314yes—
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2314yes—
499#390C2312yes—
500#390C2314yes—
501#390C2312yes—
502#390C2314yes—
503#390C2314yes—
504#390C2312yes—
505#390C2314yes—
506#390C2314yes—
507#390C2312yes—
508#390C2314yes—
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2312yes—
674#383C2312yes—
675#383C2314yes—
676#382C2311yescharacteristic
677#382C2312yes—
678#382C2312yes—
679#382C2312yes—
680#382C2312yes—
681#382C2314yes—
682#382C2312yes—
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#381C2312yes—
689#381C2314yes—
690#381C2314yes—
691#381C2314yes—
692#380C2314yes—
693#380C2314yes—
694#380C2312yes—
695#380C2312yes—
696#380C2311yescharacteristic
697#380C2311yescharacteristic
698#380C2312yes—
699#380C2311yescharacteristic
700#380C2314yes—
701#380C2312yes—
702#380C2311yescharacteristic
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2311yescharacteristic
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C22⋊C4C2311yescharacteristic
765C4×C22⋊C4C2312yes—
766C4×C22⋊C4C2312yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2311yescharacteristic
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2312yes—
807#376C2314yes—
808#376C2312yes—
809#376C2314yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2312yes—
815C43C2314yes—
816C43C2314yes—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—42no—
820C22×Q8—24no—
821C22×Q8—24no—
822C22×Q8—42no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2414yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C4⋊Q8—28no—
856C4⋊Q8—44no—
857#127—24no—
858#127—44no—
859#126—216no—
860#126—28no—
861#126—84no—
862#125—28no—
863#125—24no—
864#125—28no—
865#125—82no—
866#124—28no—
867#124—24no—
868#124—28no—
869#124—28no—
870#124—216no—
871#124—216no—
872#124—28no—
873#124—84no—
874#123—216no—
875#123—216no—
876#123—28no—
877#123—48no—
878#123—84no—
879C22⋊Q8—24no—
880C22⋊Q8—28no—
881C22⋊Q8—24no—
882C22⋊Q8—44no—
883C22⋊Q8#4118yes—
884#121—28no—
885#121—28no—
886#121—24no—
887#121—28no—
888#121—28no—
889#121—216no—
890#121—44no—
891#121—44no—
892#121—44no—
893#121—82no—
894#121—82no—
895C4×Q8—24no—
896C4×Q8—24no—
897C4×Q8—28no—
898C4×Q8—24no—
899C4×Q8—28no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—28no—
903C4×Q8—24no—
904C4×Q8—24no—
905C4×Q8—42no—
906C4×Q8—42no—
907C4×Q8—44no—
908C4×Q8—84no—
909C4×Q8#4118yes—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—216no—
920C4×D4—28no—
921C4×D4—24no—
922C4×D4—28no—
923C4×D4—44no—
924C4×D4—42no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—84no—
929C4×D4—84no—
930#117—24no—
931#117—28no—
932#117—216no—
933#117—28no—
934#117—28no—
935#117—216no—
936#117—44no—
937#117—44no—
938#117—42no—
939#117—44no—
940#117—44no—
941#117#4118yescomplemented
942C2×C4⋊C4—24no—
943C2×C4⋊C4—28no—
944C2×C4⋊C4—24no—
945C2×C4⋊C4—42no—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C42—28no—
1062C2×C42—28no—
1063C2×C42—24no—
1064C2×C42—28no—
1065C2×C42—24no—
1066C2×C42—48no—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2414yes—
1122#95C2411yescharacteristic
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2411yescharacteristic
1151#95C2414yes—
1152#95C2412yes—
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183C24C2514yes—
1184C24C2512yes—
1185C24C2511yescharacteristic
1186C24C2511yescharacteristic
1187#41—416no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—28no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—42no—
1199C2×Q8—44no—
1200C2×Q8—44no—
1201C2×Q8—416no—
1202C2×Q8C2×#4114yes—
1203C2×Q8C2×#4114yes—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—28no—
1209C2×D4—28no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—28no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—42no—
1224C2×D4—41no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—22no—
1250C22×C4—28no—
1251C22×C4—28no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—28no—
1264C22×C4—28no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4C2×#4114yes—
1284C22×C4C2×#4114yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—41no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4C2×#4114yes—
1372C4⋊C4C2×#4114yes—
1373C4⋊C4C2×#4118yes—
1374C4⋊C4C2×#4118yes—
1375C4⋊C4C2×#4114yes—
1376C4⋊C4C2×#4114yes—
1377C22⋊C4—22no—
1378C22⋊C4—24no—
1379C22⋊C4—22no—
1380C22⋊C4—24no—
1381C22⋊C4—22no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—22no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—24no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4C2×#4118yes—
1430C22⋊C4C2×#4118yes—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—22no—
1435C42—24no—
1436C42—24no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—22no—
1441C42—22no—
1442C42—24no—
1443C42—22no—
1444C42—24no—
1445C42—24no—
1446C42—28no—
1447C42—28no—
1448C42—24no—
1449C42—24no—
1450C42—24no—
1451C42—22no—
1452C42—24no—
1453C42—22no—
1454C42—24no—
1455C42—24no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—24no—
1460C42—44no—
1461C42—44no—
1462C42—42no—
1463C42—44no—
1464C42—42no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42—44no—
1469C42—42no—
1470C42—42no—
1471C42—44no—
1472C42—42no—
1473C42—42no—
1474C42—41no—
1475C42—42no—
1476C42C2×#4118yes—
1477C42C2×#4114yes—
1478C42C2×#4118yes—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—24no—
1492C23—24no—
1493C23—22no—
1494C23—22no—
1495C23—24no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—24no—
1500C23—24no—
1501C23—24no—
1502C23—22no—
1503C23—22no—
1504C23—24no—
1505C23C22×#4112yes—
1506C23C22×#4112yes—
1507C23C2611yescharacteristic
1508Q8—28no—
1509Q8—28no—
1510Q8—48no—
1511Q8—44no—
1512Q8—88no—
1513D4—48no—
1514D4—48no—
1515D4—44no—
1516D4—48no—
1517D4—44no—
1518D4—48no—
1519D4—84no—
1520D4—88no—
1521D4—88no—
1522D4—88no—
1523D4—164no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—28no—
1545C2×C4—28no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—416no—
1604C2×C4—48no—
1605C2×C4—48no—
1606C2×C4—48no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—48no—
1610C2×C4—84no—
1611C2×C4—88no—
1612C2×C4—84no—
1613C2×C4—82no—
1614C2×C4—82no—
1615C2×C4—88no—
1616C2×C4—84no—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4114yes—
1619C2×C4C22×#4114yes—
1620C2×C4C22×#4114yes—
1621C2×C4C22×#4112yes—
1622C2×C4C22×#4114yes—
1623C2×C4C22×#4114yes—
1624C2×C4C22×#4112yes—
1625C2×C4C22×#4114yes—
1626C2×C4C22×#4112yes—
1627C2×C4C22×#4112yes—
1628C2×C4C22×#4112yes—
1629C2×C4C22×#4112yes—
1630C2×C4#58512yes—
1631C2×C4#58512yes—
1632C2×C4#58512yes—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—44no—
1648C22—42no—
1649C22—44no—
1650C22—42no—
1651C22—42no—
1652C22—44no—
1653C22—44no—
1654C22—42no—
1655C22—42no—
1656C22—44no—
1657C22—42no—
1658C22—44no—
1659C22—44no—
1660C22—42no—
1661C22C23×#4111yescharacteristic
1662C22C23×#4111yescharacteristic
1663C22C23×#4111yescharacteristic
1664C22C2×#58511yescharacteristic
1665C22C2×#58511yescharacteristic
1666C22C2×#58511yescharacteristic
1667C22H(7,𝔽2)11yescharacteristic
1668C4—24no—
1669C4—22no—
1670C4—24no—
1671C4—22no—
1672C4—22no—
1673C4—24no—
1674C4—24no—
1675C4—22no—
1676C4—24no—
1677C4—24no—
1678C4—41no—
1679C4—42no—
1680C4—42no—
1681C4—41no—
1682C4—41no—
1683C4—42no—
1684C4—42no—
1685C4—44no—
1686C4—41no—
1687C4—44no—
1688C4—42no—
1689C4—44no—
1690C4—42no—
1691C4—41no—
1692C4—42no—
1693C4—41no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4#347514yes—
1698C4#348014yes—
1699C2—42no—
1700C2—42no—
1701C2—84no—
1702C2—82no—
1703C2C2×#347511yescharacteristic
1704C2C2×#348011yescharacteristic
1705C2#41211yescharacteristic
1706C2#6299411yescharacteristic
1707C2#6300611yescharacteristic
1708C2#6301011yescharacteristic
1709C2#6303011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59893C2semidirect
2. #59889C2semidirect
3. #59747C2semidirect
4. #59646C2semidirect
5. #59643C2semidirect
6. #59617C2semidirect
7. #59485C2semidirect
8. #59307C2semidirect
9. #59250C2semidirect
10. #59245C2semidirect
11. #59243C2semidirect
12. #59104C2semidirect
13. #36591C2semidirect
14. #36580C2semidirect
15. #36497C2semidirect
16. #36495C2semidirect
17. #36494C2semidirect
18. #36493C2semidirect
19. #36420C2semidirect
20. #36399C2semidirect
21. #36397C2semidirect
22. #36312C2semidirect
23. #36273C2semidirect
24. #36269C2semidirect
25. #36252C2semidirect
26. #36211C2semidirect
27. #36202C2semidirect
28. #36117C2semidirect
29. C4×#559C2semidirect
30. C4×#555C2semidirect
31. C4×#552C2semidirect
32. C4×#548C2semidirect
33. #34151C2semidirect
34. Q8×#117C2semidirect
35. #34121C2semidirect
941. #117#41semidirect

Maximal subgroups

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

subgroupindex
#598932
#598892
#597472
#596462
#596432
#596172
#594852
#593072
#592502
#592452
#592432
#591042
#365912
#365802
#364972
#364952
#364942
#364932
#364202
#363992
#363972
#363122
#362732
#362692
#362522
#362112
#362022
#361172
C4×#5592
C4×#5552
C4×#5522
C4×#5482
#341512
Q8×#1172
#341212