Finite Group Databasebeta

← #7693125

Subgroups — #7693125

Order 512.

5178 conjugacy classes of subgroups.

The subgroup lattice has 1747 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59668C211yesmaximal, characteristic, complemented
2#59509C212yesmaximal, complemented
3#59487C214yesmaximal, complemented
4#59403C212yesmaximal, complemented
5#59233C212yesmaximal, complemented
6#59056C211yesmaximal, characteristic, complemented
7#59053C212yesmaximal, complemented
8#59050C211yesmaximal, characteristic, complemented
9#45402C212yesmaximal, complemented
10#44993C212yesmaximal, complemented
11#44643C214yesmaximal, complemented
12#43425C214yesmaximal, complemented
13#40121C212yesmaximal, complemented
14#40116C212yesmaximal, complemented
15#40111C214yesmaximal, complemented
16#38942C211yesmaximal, characteristic, complemented
17#38940C211yesmaximal, characteristic, complemented
18#38936C212yesmaximal, complemented
19#36469C211yesmaximal, characteristic, complemented
20#36463C212yesmaximal, complemented
21#36461C212yesmaximal, complemented
22#36273C211yesmaximal, characteristic, complemented
23#36269C212yesmaximal, complemented
24#36186C211yesmaximal, characteristic, complemented
25#36150C211yesmaximal, characteristic, complemented
26#36115C211yesmaximal, characteristic, complemented
27#36051C212yesmaximal, complemented
28#35853C212yesmaximal, complemented
29#34943C211yesmaximal, characteristic, complemented
30#34797C212yesmaximal, complemented
31#34237C212yesmaximal, complemented
32#34236C211yesmaximal, characteristic, complemented
33#34231C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#555C2211yescharacteristic
38C2×#555C2212yes—
39C2×#553C2211yescharacteristic
40C2×#552C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#529C2212yes—
44#2861C2214yes—
45#2858C2211yescharacteristic
46#2858C2212yes—
47#2857C2211yescharacteristic
48#2856C2211yescharacteristic
49#2854C2212yes—
50#2854C2212yes—
51#2850C2212yes—
52#2806C2214yes—
53#2803C2214yes—
54#2785C2214yes—
55#2785C2214yes—
56#2781C2214yes—
57#2781C2214yes—
58#2775C2214yes—
59#2756C2214yes—
60#2756C2214yes—
61#2756C2214yes—
62#2756C2214yes—
63#2744C2214yes—
64#2737C2214yes—
65#2737C2214yes—
66#2733C2214yes—
67#2731C2214yes—
68#2730C2214yes—
69#2705C2214yes—
70#2699C2214yes—
71#2686C2214yes—
72#2673C2214yes—
73#2662C2214yes—
74#2661C2214yes—
75#2641C2212yes—
76#2640C2212yes—
77#2611C2214yes—
78#2610C2214yes—
79#2610C2214yes—
80#2610C2214yes—
81#2603C2214yes—
82#2602C2214yes—
83#2592C2212yes—
84#2584C2212yes—
85#2572C2214yes—
86#2572C2212yes—
87#2572C2212yes—
88#2571C2211yescharacteristic
89#2563C2212yes—
90#2563C2214yes—
91#2563C2211yescharacteristic
92#2563C2211yescharacteristic
93#2559C2214yes—
94#2558C2214yes—
95#2558C2214yes—
96#2557C2214yes—
97#2557C2214yes—
98#2557C2214yes—
99#2557C2214yes—
100#2555C2214yes—
101#2554C2214yes—
102#2552C2211yescharacteristic
103#2551C2211yescharacteristic
104#2551C2212yes—
105#2550C2212yes—
106#2547C2211yescharacteristic
107#2546C2212yes—
108#2544C2212yes—
109#2543C2214yes—
110#2542C2211yescharacteristic
111#2541C2212yes—
112#2541C2211yescharacteristic
113#2541C2211yescharacteristic
114#2541C2212yes—
115#2540C2212yes—
116#2540C2212yes—
117#2537C2212yes—
118#2537C2211yescharacteristic
119#2532C2214yes—
120#2531C2214yes—
121#2529C2214yes—
122#2526C2214yes—
123#2521C2214yes—
124#2519C2214yes—
125#2518C2214yes—
126#2513C2214yes—
127#2512C2212yes—
128#2512C2212yes—
129#2507C2212yes—
130#2507C2212yes—
131#2506C2212yes—
132#2500C2212yes—
133#2498C2214yes—
134#2498C2214yes—
135#2495C2212yes—
136#2495C2214yes—
137#2495C2212yes—
138#2495C2211yescharacteristic
139#2495C2211yescharacteristic
140#2492C2212yes—
141#2491C2212yes—
142#2491C2214yes—
143#2491C2212yes—
144#2491C2212yes—
145#2491C2214yes—
146#2490C2212yes—
147#2490C2212yes—
148#2490C2212yes—
149#2489C2212yes—
150#2485C2212yes—
151#2479C2214yes—
152#2471C2214yes—
153#2467C2214yes—
154#2467C2214yes—
155#2464C2214yes—
156#2459C2214yes—
157#2459C2214yes—
158#2456C2214yes—
159#2454C2212yes—
160#2451C2214yes—
161#2448C2212yes—
162#2448C2214yes—
163#2445C2214yes—
164#2445C2214yes—
165#2445C2212yes—
166#2441C2212yes—
167#2439C2212yes—
168#2431C2214yes—
169#2428C2212yes—
170#2428C2212yes—
171#2428C2212yes—
172#2428C2212yes—
173#2427C2212yes—
174#2427C2212yes—
175#2426C2212yes—
176#2426C2212yes—
177#2426C2212yes—
178#2426C2212yes—
179#2426C2212yes—
180#2422C2212yes—
181#2420C2211yescharacteristic
182#2420C2214yes—
183#2420C2212yes—
184#2420C2211yescharacteristic
185#2420C2212yes—
186#2417C2212yes—
187#2415C2212yes—
188#2414C2212yes—
189#2414C2212yes—
190#2414C2212yes—
191#2414C2212yes—
192#2414C2214yes—
193#2414C2212yes—
194#2414C2212yes—
195#2407C2212yes—
196#2398C2212yes—
197#2398C2212yes—
198#2395C2214yes—
199#2392C2214yes—
200#2374C2212yes—
201#2373C2212yes—
202#2372C2214yes—
203#2370C2212yes—
204#2370C2211yescharacteristic
205#2369C2212yes—
206#2369C2211yescharacteristic
207#2369C2211yescharacteristic
208#2369C2211yescharacteristic
209#2367C2212yes—
210#2367C2212yes—
211#2366C2212yes—
212#2366C2211yescharacteristic
213#2366C2214yes—
214#2366C2211yescharacteristic
215#2365C2211yescharacteristic
216#2365C2211yescharacteristic
217#2364C2212yes—
218#2363C2212yes—
219#2363C2212yes—
220#2363C2212yes—
221#2363C2212yes—
222#2363C2212yes—
223#2363C2211yescharacteristic
224#2363C2212yes—
225#2362C2212yes—
226#2362C2212yes—
227#2362C2212yes—
228#2362C2212yes—
229#2361C2211yescharacteristic
230#2361C2212yes—
231#2361C2212yes—
232#2357C2211yescharacteristic
233#2357C2212yes—
234#2357C2214yes—
235#2356C2214yes—
236#2354C2212yes—
237#2354C2211yescharacteristic
238#2354C2211yescharacteristic
239#2354C2212yes—
240#2353C2214yes—
241#2353C2212yes—
242#2352C2211yescharacteristic
243#2349C2212yes—
244#2347C2211yescharacteristic
245#2347C2212yes—
246#2346C2212yes—
247#2346C2212yes—
248#2346C2214yes—
249#2346C2212yes—
250#2345C2211yescharacteristic
251#2343C2214yes—
252#2341C2212yes—
253#2339C2214yes—
254#2337C2214yes—
255#2335C2214yes—
256#2335C2214yes—
257#2332C2214yes—
258#2320C2212yes—
259#2320C2212yes—
260#2319C2212yes—
261#2319C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×#125C2211yescharacteristic
265C4×#125C2212yes—
266C4×#125C2212yes—
267C4×#126C2214yes—
268C4×#126C2212yes—
269C4×#126C2214yes—
270C4×#124C2214yes—
271C4×#123C2212yes—
272C4×#121C2212yes—
273C4×#121C2212yes—
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2212yes—
283#2293C2214yes—
284#2293C2212yes—
285#2285C2212yes—
286#2283C2212yes—
287#2283C2211yescharacteristic
288#2283C2211yescharacteristic
289#2276C2212yes—
290#2275C2212yes—
291C42×D4C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C4×#117C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300#559—48no—
301#555—28no—
302#555—48no—
303#553—28no—
304#552—48no—
305#533—28no—
306#532—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2314yes—
316C2×#127C2312yes—
317#529—216no—
318C2×#126C2314yes—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×#117C2314yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2314yes—
405C2×#117C2314yes—
406C22×C4⋊C4C2311yescharacteristic
407C22×C4⋊C4C2311yescharacteristic
408C22×C42C2312yes—
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2312yes—
412C22×C42C2312yes—
413#400C2312yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#394C2314yes—
450#394C2312yes—
451#394C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2312yes—
464#394C2312yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#393C2312yes—
473#393C2314yes—
474#393C2314yes—
475#393C2312yes—
476#393C2312yes—
477#393C2312yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#390C2314yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2314yes—
507#390C2314yes—
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2314yes—
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2312yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
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#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2312yes—
680#383C2312yes—
681#383C2312yes—
682#383C2312yes—
683#383C2314yes—
684#383C2312yes—
685#383C2312yes—
686#383C2314yes—
687#382C2311yescharacteristic
688#382C2311yescharacteristic
689#382C2311yescharacteristic
690#382C2314yes—
691#382C2314yes—
692#382C2314yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2314yes—
698#381C2312yes—
699#381C2314yes—
700#381C2312yes—
701#381C2312yes—
702#381C2312yes—
703#381C2312yes—
704#381C2314yes—
705#380C2311yescharacteristic
706#380C2312yes—
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2311yescharacteristic
712#380C2312yes—
713#380C2311yescharacteristic
714#380C2314yes—
715#380C2311yescharacteristic
716#380C2314yes—
717#380C2312yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810#376C2314yes—
811#376C2314yes—
812#376C2312yes—
813C2×#95C2312yes—
814C2×#95C2314yes—
815C43C2314yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C2×#41—28no—
819C2×#41—44no—
820C2×#41—82no—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C4⋊Q8—24no—
860C4⋊Q8—42no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—84no—
864C4⋊Q8#4118yes—
865#127—24no—
866#127—44no—
867#127—44no—
868#127—48no—
869#126—216no—
870#126—28no—
871#126—48no—
872#125—28no—
873#125—48no—
874#125—44no—
875#125#4118yescomplemented
876#124—28no—
877#124—216no—
878#124—28no—
879#124—48no—
880#124—48no—
881#124—48no—
882#124—44no—
883#124—44no—
884#124—84no—
885#123—216no—
886#123—28no—
887#123—48no—
888#123—48no—
889#123—48no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895#121—28no—
896#121—28no—
897#121—28no—
898#121—28no—
899#121—24no—
900#121—24no—
901#121—28no—
902#121—28no—
903#121—48no—
904#121—44no—
905#121—44no—
906#121—42no—
907#121—42no—
908#121—44no—
909#121—44no—
910#121—44no—
911#121—44no—
912#121—84no—
913#121—84no—
914#121—82no—
915C4×Q8—28no—
916C4×Q8—28no—
917C4×Q8—28no—
918C4×Q8—28no—
919C4×Q8—44no—
920C4×Q8—82no—
921C4×D4—28no—
922C4×D4—216no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—24no—
928C4×D4—24no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—42no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—42no—
936C4×D4—44no—
937C4×D4—42no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—48no—
942C4×D4—44no—
943C4×D4—42no—
944C4×D4—48no—
945C4×D4—84no—
946C4×D4—84no—
947#117—216no—
948#117—28no—
949#117—24no—
950#117—28no—
951#117—28no—
952#117—28no—
953#117—24no—
954#117—48no—
955#117—48no—
956#117—44no—
957C2×C4⋊C4—24no—
958C2×C4⋊C4—24no—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C42—28no—
1080C2×C42—24no—
1081C2×C42—24no—
1082C2×C42—44no—
1083C2×C42—44no—
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2411yescharacteristic
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2411yescharacteristic
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189C24C2511yescharacteristic
1190C24C2514yes—
1191C24C2512yes—
1192C24C2512yes—
1193C24C2511yescharacteristic
1194#41—816no—
1195C2×Q8—24no—
1196C2×Q8—24no—
1197C2×Q8—24no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8C2×#4118yes—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—28no—
1220C2×D4—28no—
1221C2×D4—24no—
1222C2×D4—28no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—41no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—24no—
1274C22×C4—22no—
1275C22×C4—24no—
1276C22×C4—24no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—28no—
1285C22×C4—24no—
1286C22×C4—28no—
1287C22×C4—28no—
1288C22×C4—24no—
1289C22×C4—42no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—44no—
1300C22×C4—41no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—42no—
1306C22×C4—41no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2514yes—
1326C22×C4C2511yescharacteristic
1327C22×C4C2514yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—28no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—28no—
1347C4⋊C4—28no—
1348C4⋊C4—24no—
1349C4⋊C4—28no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—41no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—41no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4C2×#4114yes—
1388C4⋊C4C2×#4118yes—
1389C4⋊C4C2×#4118yes—
1390C4⋊C4C2×#4118yes—
1391C4⋊C4C2×#4114yes—
1392C4⋊C4C2×#4118yes—
1393C4⋊C4H(5,𝔽2)14yes—
1394C22⋊C4—22no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—22no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—22no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—24no—
1417C22⋊C4—28no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—41no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C42—24no—
1460C42—22no—
1461C42—22no—
1462C42—24no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—28no—
1469C42—28no—
1470C42—24no—
1471C42—28no—
1472C42—24no—
1473C42—28no—
1474C42—28no—
1475C42—24no—
1476C42—22no—
1477C42—24no—
1478C42—22no—
1479C42—24no—
1480C42—24no—
1481C42—22no—
1482C42—24no—
1483C42—42no—
1484C42—42no—
1485C42—42no—
1486C42—42no—
1487C42—44no—
1488C42—42no—
1489C42—44no—
1490C42—41no—
1491C42—44no—
1492C42—44no—
1493C42—41no—
1494C42—42no—
1495C42—44no—
1496C42C2×#4114yes—
1497C42C2×#4114yes—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—24no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—21no—
1510C23—22no—
1511C23—24no—
1512C23—22no—
1513C23—21no—
1514C23—22no—
1515C23—24no—
1516C23—22no—
1517C23—24no—
1518C23—21no—
1519C23—22no—
1520C23—21no—
1521C23—24no—
1522C23—22no—
1523C23—21no—
1524C23—24no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—24no—
1531C23—21no—
1532C23#58512yes—
1533C23C2611yescharacteristic
1534Q8—48no—
1535Q8—48no—
1536Q8—84no—
1537Q8—164no—
1538D4—44no—
1539D4—48no—
1540D4—416no—
1541D4—44no—
1542D4—48no—
1543D4—44no—
1544D4—48no—
1545D4—88no—
1546D4—84no—
1547D4—88no—
1548D4—84no—
1549D4—84no—
1550D4—84no—
1551D4—88no—
1552D4—164no—
1553D4—164no—
1554D4—164no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—48no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—48no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—48no—
1640C2×C4—82no—
1641C2×C4—84no—
1642C2×C4—84no—
1643C2×C4—84no—
1644C2×C4—88no—
1645C2×C4—84no—
1646C2×C4—88no—
1647C2×C4—84no—
1648C2×C4—88no—
1649C2×C4C22×#4114yes—
1650C2×C4C22×#4112yes—
1651C2×C4C22×#4112yes—
1652C2×C4C22×#4112yes—
1653C2×C4C22×#4118yes—
1654C2×C4C22×#4114yes—
1655C2×C4C22×#4112yes—
1656C2×C4C22×#4112yes—
1657C2×C4C22×#4112yes—
1658C2×C4C2×H(5,𝔽2)14yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4#58512yes—
1661C2×C4#58512yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—44no—
1670C22—41no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—44no—
1675C22—42no—
1676C22—41no—
1677C22—42no—
1678C22—44no—
1679C22—42no—
1680C22—41no—
1681C22—41no—
1682C22—42no—
1683C22—42no—
1684C22—44no—
1685C22—42no—
1686C22—42no—
1687C22—41no—
1688C22—44no—
1689C22—42no—
1690C22—44no—
1691C22—41no—
1692C22—42no—
1693C22—41no—
1694C22—42no—
1695C22—44no—
1696C22—42no—
1697C22C23×#4111yescharacteristic
1698C22C23×#4111yescharacteristic
1699C22C22×H(5,𝔽2)11yescharacteristic
1700C22C2×#58511yescharacteristic
1701C22C2×#58511yescharacteristic
1702C22C2×#58511yescharacteristic
1703C22H(7,𝔽2)11yescharacteristic
1704C4—22no—
1705C4—28no—
1706C4—22no—
1707C4—24no—
1708C4—24no—
1709C4—22no—
1710C4—24no—
1711C4—41no—
1712C4—41no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—41no—
1717C4—42no—
1718C4—42no—
1719C4—41no—
1720C4—41no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—44no—
1726C4—41no—
1727C4—42no—
1728C4—41no—
1729C4—42no—
1730C4—41no—
1731C4—44no—
1732C4#348314yes—
1733C4#352414yes—
1734C2—42no—
1735C2—84no—
1736C2—81no—
1737C2—82no—
1738C2—82no—
1739C2C2×#348311yescharacteristic
1740C2C2×#352411yescharacteristic
1741C2#6281611yescharacteristic
1742C2#6292311yescharacteristic
1743C2#6299011yescharacteristic
1744C2#6299411yescharacteristic
1745C2#6301811yescharacteristic
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. #59668C2semidirect
2. #59509C2semidirect
3. #59487C2semidirect
4. #59403C2semidirect
5. #59233C2semidirect
6. #59056C2semidirect
7. #59053C2semidirect
8. #59050C2semidirect
9. #45402C2semidirect
10. #44993C2semidirect
11. #44643C2semidirect
12. #43425C2semidirect
13. #40121C2semidirect
14. #40116C2semidirect
15. #40111C2semidirect
16. #38942C2semidirect
17. #38940C2semidirect
18. #38936C2semidirect
19. #36469C2semidirect
20. #36463C2semidirect
21. #36461C2semidirect
22. #36273C2semidirect
23. #36269C2semidirect
24. #36186C2semidirect
25. #36150C2semidirect
26. #36115C2semidirect
27. #36051C2semidirect
28. #35853C2semidirect
29. #34943C2semidirect
30. #34797C2semidirect
31. #34237C2semidirect
32. #34236C2semidirect
33. #34231C2semidirect
34. C4×#555C2semidirect
35. C4×#553C2semidirect
875. #125#41semidirect

Maximal subgroups

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

subgroupindex
#596682
#595092
#594872
#594032
#592332
#590562
#590532
#590502
#454022
#449932
#446432
#434252
#401212
#401162
#401112
#389422
#389402
#389362
#364692
#364632
#364612
#362732
#362692
#361862
#361502
#361152
#360512
#358532
#349432
#347972
#342372
#342362
#342312
C4×#5552
C4×#5532