Finite Group Databasebeta

← #7968325

Subgroups — #7968325

Order 512.

5441 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59638C212yesmaximal, complemented
2#59411C211yesmaximal, characteristic, complemented
3#59409C212yesmaximal, complemented
4#59321C211yesmaximal, characteristic, complemented
5#59312C211yesmaximal, characteristic, complemented
6#50848C214yesmaximal, complemented
7#48528C214yesmaximal, complemented
8#46104C212yesmaximal, complemented
9#45675C212yesmaximal, complemented
10#45434C212yesmaximal, complemented
11#45393C212yesmaximal, complemented
12#43974C214yesmaximal, complemented
13#42939C212yesmaximal, complemented
14#42699C212yesmaximal, complemented
15#40894C214yesmaximal, complemented
16#40214C212yesmaximal, complemented
17#39980C212yesmaximal, complemented
18#39761C211yesmaximal, characteristic, complemented
19#39726C211yesmaximal, characteristic, complemented
20#39384C212yesmaximal, complemented
21#38950C212yesmaximal, complemented
22#38079C212yesmaximal, complemented
23#36580C211yesmaximal, characteristic, complemented
24#36576C211yesmaximal, characteristic, complemented
25#36563C211yesmaximal, characteristic, complemented
26#36410C211yesmaximal, characteristic, complemented
27#36376C212yesmaximal, complemented
28#36179C211yesmaximal, characteristic, complemented
29#35280C211yesmaximal, characteristic, complemented
30#35186C211yesmaximal, characteristic, complemented
31#35008C212yesmaximal, complemented
32C2×#2582C211yesmaximal, characteristic, complemented
33#34691C211yesmaximal, characteristic, complemented
34#34460C212yesmaximal, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#552C2212yes—
38C2×#550C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#548C2212yes—
41C2×#547C2212yes—
42C2×#547C2212yes—
43C2×#547C2212yes—
44C2×#539C2214yes—
45C2×#533C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×C4×Q8C2211yescharacteristic
48C22×C4×Q8C2211yescharacteristic
49#2868C2211yescharacteristic
50#2861C2212yes—
51#2860C2212yes—
52#2859C2212yes—
53#2857C2212yes—
54#2857C2212yes—
55#2856C2211yescharacteristic
56#2856C2211yescharacteristic
57#2856C2212yes—
58#2854C2212yes—
59#2850C2212yes—
60#2837C2214yes—
61#2836C2214yes—
62#2798C2214yes—
63#2793C2214yes—
64#2791C2214yes—
65#2768C2214yes—
66#2768C2214yes—
67#2754C2214yes—
68#2748C2214yes—
69#2741C2214yes—
70#2732C2214yes—
71#2727C2214yes—
72#2721C2214yes—
73#2716C2214yes—
74#2710C2214yes—
75#2710C2214yes—
76#2707C2214yes—
77#2707C2214yes—
78#2706C2214yes—
79#2705C2214yes—
80#2704C2214yes—
81#2704C2214yes—
82#2702C2214yes—
83#2701C2214yes—
84#2700C2214yes—
85#2695C2214yes—
86#2694C2214yes—
87#2694C2214yes—
88#2694C2214yes—
89#2692C2214yes—
90#2692C2214yes—
91#2692C2214yes—
92#2687C2214yes—
93#2687C2214yes—
94#2681C2214yes—
95#2667C2214yes—
96#2664C2214yes—
97#2663C2214yes—
98#2651C2214yes—
99#2651C2214yes—
100#2640C2212yes—
101#2629C2214yes—
102#2620C2212yes—
103#2618C2214yes—
104#2607C2214yes—
105#2592C2212yes—
106#2592C2212yes—
107#2589C2214yes—
108#2582C2211yescharacteristic
109#2582C2212yes—
110#2582C2212yes—
111#2582C2211yescharacteristic
112#2582C2211yescharacteristic
113#2582C2212yes—
114#2582C2211yescharacteristic
115#2582C2212yes—
116#2582C2214yes—
117#2582C2212yes—
118#2582C2211yescharacteristic
119#2580C2212yes—
120#2567C2212yes—
121#2565C2212yes—
122#2557C2214yes—
123#2556C2214yes—
124#2556C2214yes—
125#2556C2214yes—
126#2554C2214yes—
127#2553C2214yes—
128#2552C2211yescharacteristic
129#2552C2212yes—
130#2552C2212yes—
131#2552C2212yes—
132#2550C2214yes—
133#2549C2214yes—
134#2549C2214yes—
135#2548C2211yescharacteristic
136#2548C2211yescharacteristic
137#2548C2212yes—
138#2545C2212yes—
139#2544C2212yes—
140#2542C2212yes—
141#2542C2212yes—
142#2542C2212yes—
143#2538C2211yescharacteristic
144#2538C2212yes—
145#2538C2211yescharacteristic
146#2538C2212yes—
147#2538C2212yes—
148#2521C2214yes—
149#2521C2214yes—
150#2512C2212yes—
151#2512C2212yes—
152#2512C2212yes—
153#2511C2212yes—
154#2511C2212yes—
155#2507C2214yes—
156#2506C2212yes—
157#2502C2212yes—
158#2501C2212yes—
159#2501C2212yes—
160#2501C2212yes—
161#2501C2212yes—
162#2501C2212yes—
163#2501C2212yes—
164#2501C2212yes—
165#2499C2212yes—
166#2498C2214yes—
167#2496C2212yes—
168#2492C2212yes—
169#2488C2214yes—
170#2486C2212yes—
171#2476C2214yes—
172#2473C2212yes—
173#2473C2214yes—
174#2468C2214yes—
175#2465C2212yes—
176#2464C2214yes—
177#2462C2212yes—
178#2458C2214yes—
179#2454C2212yes—
180#2452C2212yes—
181#2451C2212yes—
182#2451C2212yes—
183#2451C2211yescharacteristic
184#2449C2212yes—
185#2448C2212yes—
186#2448C2212yes—
187#2447C2212yes—
188#2447C2212yes—
189#2446C2211yescharacteristic
190#2445C2212yes—
191#2445C2212yes—
192#2443C2214yes—
193#2442C2212yes—
194#2441C2212yes—
195#2440C2211yescharacteristic
196#2439C2212yes—
197#2436C2212yes—
198#2434C2211yescharacteristic
199#2432C2212yes—
200#2431C2212yes—
201#2430C2214yes—
202#2430C2214yes—
203#2429C2211yescharacteristic
204#2427C2212yes—
205#2427C2212yes—
206#2426C2212yes—
207#2426C2212yes—
208#2426C2214yes—
209#2425C2214yes—
210#2425C2214yes—
211#2425C2214yes—
212#2425C2214yes—
213#2425C2214yes—
214#2423C2212yes—
215#2423C2211yescharacteristic
216#2422C2212yes—
217#2419C2214yes—
218#2417C2212yes—
219#2417C2212yes—
220#2417C2211yescharacteristic
221#2417C2214yes—
222#2416C2212yes—
223#2416C2214yes—
224#2414C2212yes—
225#2413C2214yes—
226#2409C2211yescharacteristic
227#2407C2212yes—
228#2399C2212yes—
229#2396C2212yes—
230C2×#398C2214yes—
231#2378C2214yes—
232#2376C2214yes—
233#2369C2212yes—
234#2367C2212yes—
235#2367C2212yes—
236#2367C2212yes—
237#2367C2211yescharacteristic
238#2363C2212yes—
239#2362C2212yes—
240#2362C2211yescharacteristic
241#2361C2212yes—
242#2361C2211yescharacteristic
243#2361C2212yes—
244#2360C2212yes—
245#2359C2214yes—
246#2359C2214yes—
247#2355C2211yescharacteristic
248#2355C2212yes—
249#2354C2211yescharacteristic
250#2352C2211yescharacteristic
251#2352C2212yes—
252#2351C2211yescharacteristic
253Q8×C4⋊C4C2211yescharacteristic
254Q8×C4⋊C4C2211yescharacteristic
255#2349C2212yes—
256#2345C2212yes—
257#2344C2212yes—
258#2341C2212yes—
259#2341C2211yescharacteristic
260Q8×C22⋊C4C2211yescharacteristic
261#2339C2212yes—
262#2339C2214yes—
263#2335C2214yes—
264#2331C2212yes—
265#2329C2214yes—
266#2326C2212yes—
267#2324C2212yes—
268#2322C2214yes—
269#2319C2212yes—
270#2316C2212yes—
271#2311C2214yes—
272#2311C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×#127C2211yescharacteristic
276C4×#124C2211yescharacteristic
277C4×#124C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2212yes—
283C4×#121C2212yes—
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287#2297C2212yes—
288#2295C2211yescharacteristic
289C2×#391C2212yes—
290C2×#391C2212yes—
291C2×#389C2212yes—
292C2×#389C2212yes—
293#2290C2212yes—
294C2×#384C2211yescharacteristic
295C2×#384C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2314yes—
301C22×#41C2312yes—
302C23×Q8C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304#559—44no—
305#552—48no—
306#550—44no—
307#548—28no—
308#548—48no—
309#547—216no—
310#547—48no—
311#547—48no—
312#539—416no—
313#533—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#125C2314yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2314yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C4×#41—44no—
377C2×C4×Q8—44no—
378C2×C4×Q8—44no—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×#117C2312yes—
417C2×#117C2314yes—
418C2×#117C2311yescharacteristic
419C2×#117C2312yes—
420C2×#117C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2314yes—
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2312yes—
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2312yes—
435C22×C42C2312yes—
436C22×C42C2312yes—
437#400C2312yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2312yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2312yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2312yes—
472#398C2314yes—
473#398C2312yes—
474#398C2312yes—
475#398C2312yes—
476#398C2312yes—
477#398C2314yes—
478#398C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2312yes—
501#396C2312yes—
502#396C2314yes—
503#396C2314yes—
504#395C2314yes—
505#395C2314yes—
506#395C2312yes—
507#395C2312yes—
508#395C2312yes—
509#395C2312yes—
510#395C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2312yes—
529#392C2314yes—
530#392C2314yes—
531#391C2312yes—
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2314yes—
540#391C2314yes—
541#391C2312yes—
542#391C2314yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2314yes—
547#391C2314yes—
548#391C2312yes—
549#391C2314yes—
550#391C2314yes—
551#391C2314yes—
552#391C2314yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2312yes—
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#391C2312yes—
560#391C2312yes—
561#391C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2311yescharacteristic
579#390C2312yes—
580#390C2312yes—
581#390C2311yescharacteristic
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#389C2314yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2314yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2314yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2314yes—
611#389C2314yes—
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#389C2314yes—
616#389C2312yes—
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2314yes—
629#389C2314yes—
630#389C2311yescharacteristic
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2314yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#385C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2312yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2314yes—
726#385C2312yes—
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2311yescharacteristic
735#384C2312yes—
736#384C2312yes—
737#384C2312yes—
738#384C2311yescharacteristic
739#384C2312yes—
740#384C2312yes—
741#384C2312yes—
742#384C2312yes—
743#382C2312yes—
744#382C2311yescharacteristic
745#382C2314yes—
746#382C2312yes—
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2314yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816#376C2312yes—
817C2×#95C2314yes—
818C2×#95C2314yes—
819C2×#95C2314yes—
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C43C2312yes—
823C2×#41—24no—
824C2×#41—28no—
825C2×#41—216no—
826C2×#41—24no—
827C2×#41—48no—
828C2×#41—48no—
829C2×#41—42no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8—24no—
833C22×Q8—24no—
834C22×Q8—24no—
835C22×Q8—24no—
836C22×Q8—42no—
837C22×Q8—42no—
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×Q8C2411yescharacteristic
841C22×Q8C2412yes—
842C22×Q8C2412yes—
843C22×Q8C2411yescharacteristic
844C22×Q8C2411yescharacteristic
845C22×Q8C2412yes—
846C22×Q8C2414yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C23×C4C2414yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2412yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C4⋊Q8—24no—
877C4⋊Q8—28no—
878C4⋊Q8—42no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881C4⋊Q8—42no—
882#127—24no—
883#127—44no—
884#126—48no—
885#126—48no—
886#126—48no—
887#125—44no—
888#125—48no—
889#125—44no—
890#125—48no—
891#125—48no—
892#124—28no—
893#124—28no—
894#124—24no—
895#124—44no—
896#124—44no—
897#124—44no—
898#124—48no—
899#123—216no—
900#123—216no—
901#123—216no—
902#123—48no—
903#123—48no—
904#123—48no—
905#123—48no—
906#123—48no—
907#123—48no—
908#123—48no—
909#123—48no—
910C22⋊Q8—24no—
911C22⋊Q8—24no—
912C22⋊Q8—24no—
913C22⋊Q8—216no—
914C22⋊Q8—28no—
915C22⋊Q8—28no—
916C22⋊Q8—48no—
917C22⋊Q8—48no—
918C22⋊Q8—48no—
919C22⋊Q8—48no—
920C22⋊Q8—44no—
921C22⋊Q8—42no—
922C22⋊Q8—42no—
923C22⋊Q8—48no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926#121—28no—
927#121—28no—
928#121—28no—
929#121—24no—
930#121—28no—
931#121—44no—
932#121—48no—
933#121—44no—
934#121—44no—
935#121—48no—
936#121—44no—
937#121—48no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×Q8—24no—
941C4×Q8—24no—
942C4×Q8—24no—
943C4×Q8—24no—
944C4×Q8—24no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×Q8—44no—
948C4×Q8—44no—
949C4×Q8—44no—
950C4×Q8—42no—
951C4×Q8—42no—
952C4×Q8—42no—
953C4×Q8—42no—
954C4×Q8—42no—
955C4×Q8—44no—
956C4×Q8—44no—
957C4×D4—24no—
958C4×D4—28no—
959C4×D4—28no—
960C4×D4—28no—
961C4×D4—24no—
962C4×D4—28no—
963C4×D4—24no—
964C4×D4—44no—
965C4×D4—42no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—48no—
973C4×D4—48no—
974C4×D4#4118yescomplemented
975#117—44no—
976#117—44no—
977#117—48no—
978#117—42no—
979#117—44no—
980C2×C4⋊C4—28no—
981C2×C4⋊C4—28no—
982C2×C4⋊C4—28no—
983C2×C4⋊C4—42no—
984C2×C4⋊C4—44no—
985C2×C4⋊C4—44no—
986C2×C4⋊C4—42no—
987C2×C4⋊C4—44no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—48no—
990C2×C4⋊C4—44no—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C42—24no—
1121C2×C42—24no—
1122C2×C42—44no—
1123C2×C42—44no—
1124C2×C42—44no—
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2414yes—
1146C2×C42C2412yes—
1147C2×C42C2414yes—
1148C2×C42C2414yes—
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2411yescharacteristic
1184#95C2412yes—
1185#95C2412yes—
1186#95C2411yescharacteristic
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221C24C2514yes—
1222C24C2512yes—
1223C24C2511yescharacteristic
1224C24C2511yescharacteristic
1225#41—416no—
1226#41—832no—
1227#41—816no—
1228C2×Q8—22no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—28no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—24no—
1240C2×Q8—22no—
1241C2×Q8—24no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—44no—
1251C2×Q8—44no—
1252C2×Q8—42no—
1253C2×Q8—416no—
1254C2×Q8—416no—
1255C2×Q82−1+414yes—
1256C2×Q82−1+414yes—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—28no—
1265C2×D4—28no—
1266C2×D4—28no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—28no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4C2×#4114yes—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—28no—
1297C22×C4—24no—
1298C22×C4—28no—
1299C22×C4—22no—
1300C22×C4—28no—
1301C22×C4—24no—
1302C22×C4—28no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—28no—
1319C22×C4—24no—
1320C22×C4—28no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4C2×#4114yes—
1342C22×C4C2×#4114yes—
1343C22×C4H(5,𝔽2)14yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2514yes—
1359C22×C4C2514yes—
1360C22×C4C2514yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—28no—
1379C4⋊C4—28no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—28no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—28no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—28no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—28no—
1410C4⋊C4—24no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4C2×#4114yes—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—22no—
1456C22⋊C4—24no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—28no—
1460C22⋊C4—28no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—24no—
1472C22⋊C4—28no—
1473C22⋊C4—28no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4C2×#4114yes—
1502C22⋊C4C2×#4114yes—
1503C22⋊C4H(5,𝔽2)14yes—
1504C42—24no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—24no—
1512C42—24no—
1513C42—24no—
1514C42—24no—
1515C42—24no—
1516C42—22no—
1517C42—22no—
1518C42—24no—
1519C42—24no—
1520C42—24no—
1521C42—22no—
1522C42—24no—
1523C42—22no—
1524C42—42no—
1525C42—42no—
1526C42—42no—
1527C42—42no—
1528C42—42no—
1529C42—42no—
1530C42—41no—
1531C42—42no—
1532C42—44no—
1533C42—44no—
1534C42—44no—
1535C42—44no—
1536C42C2×#4114yes—
1537C42H(5,𝔽2)14yes—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—22no—
1549C23—24no—
1550C23—24no—
1551C23—22no—
1552C23—22no—
1553C23—24no—
1554C23—22no—
1555C23—24no—
1556C23—24no—
1557C23—22no—
1558C23—24no—
1559C23—22no—
1560C23—22no—
1561C23—24no—
1562C23C22×#4112yes—
1563C23C22×#4112yes—
1564C23C2×H(5,𝔽2)12yes—
1565C23C2×H(5,𝔽2)12yes—
1566C23C2611yescharacteristic
1567Q8—28no—
1568Q8—28no—
1569Q8—48no—
1570Q8—48no—
1571Q8—44no—
1572Q8—44no—
1573Q8—44no—
1574Q8—84no—
1575Q8—88no—
1576D4—28no—
1577D4—48no—
1578D4—48no—
1579D4—416no—
1580D4—48no—
1581D4—44no—
1582D4—48no—
1583D4—84no—
1584D4—88no—
1585D4—88no—
1586D4—164no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—28no—
1608C2×C4—28no—
1609C2×C4—28no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—44no—
1668C2×C4—48no—
1669C2×C4—44no—
1670C2×C4—48no—
1671C2×C4—48no—
1672C2×C4—416no—
1673C2×C4—44no—
1674C2×C4—48no—
1675C2×C4—84no—
1676C2×C4—88no—
1677C2×C4—88no—
1678C2×C4—84no—
1679C2×C4—84no—
1680C2×C4—88no—
1681C2×C4—164no—
1682C2×C4C22×#4112yes—
1683C2×C4C22×#4112yes—
1684C2×C4C22×#4112yes—
1685C2×C4C22×#4112yes—
1686C2×C4C22×#4112yes—
1687C2×C4C2×H(5,𝔽2)12yes—
1688C2×C4C2×H(5,𝔽2)12yes—
1689C2×C4C2×H(5,𝔽2)12yes—
1690C2×C4C2×H(5,𝔽2)12yes—
1691C2×C4C2×H(5,𝔽2)12yes—
1692C2×C4C2×H(5,𝔽2)12yes—
1693C2×C4C2×H(5,𝔽2)12yes—
1694C2×C4C2×2−1+414yes—
1695C2×C4C2×2−1+414yes—
1696C2×C4C2×2−1+412yes—
1697C2×C4C2×2−1+412yes—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—42no—
1712C22—44no—
1713C22—42no—
1714C22—44no—
1715C22—42no—
1716C22—44no—
1717C22—44no—
1718C22—42no—
1719C22—44no—
1720C22—42no—
1721C22—42no—
1722C22—44no—
1723C22—42no—
1724C22—44no—
1725C22#350814yes—
1726C22C23×#4111yescharacteristic
1727C22C22×H(5,𝔽2)11yescharacteristic
1728C22C22×H(5,𝔽2)11yescharacteristic
1729C22C22×H(5,𝔽2)11yescharacteristic
1730C22C22×2−1+411yescharacteristic
1731C22C22×2−1+411yescharacteristic
1732C222−1+611yescharacteristic
1733C4—22no—
1734C4—24no—
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—24no—
1739C4—22no—
1740C4—22no—
1741C4—22no—
1742C4—22no—
1743C4—41no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—42no—
1748C4—42no—
1749C4—44no—
1750C4—44no—
1751C4—44no—
1752C4—42no—
1753C4—41no—
1754C4—42no—
1755C4—42no—
1756C4—42no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—41no—
1761C4—42no—
1762C4#352014yes—
1763C4#353614yes—
1764C2—24no—
1765C2—42no—
1766C2—82no—
1767C2—84no—
1768C2C2×#353611yescharacteristic
1769C2C2×#352011yescharacteristic
1770C2C2×#350811yescharacteristic
1771C2#6291411yescharacteristic
1772C2#6294611yescharacteristic
1773C2#6300111yescharacteristic
1774C2#6303711yescharacteristic
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. #59638C2semidirect
2. #59411C2semidirect
3. #59409C2semidirect
4. #59321C2semidirect
5. #59312C2semidirect
6. #50848C2semidirect
7. #48528C2semidirect
8. #46104C2semidirect
9. #45675C2semidirect
10. #45434C2semidirect
11. #45393C2semidirect
12. #43974C2semidirect
13. #42939C2semidirect
14. #42699C2semidirect
15. #40894C2semidirect
16. #40214C2semidirect
17. #39980C2semidirect
18. #39761C2semidirect
19. #39726C2semidirect
20. #39384C2semidirect
21. #38950C2semidirect
22. #38079C2semidirect
23. #36580C2semidirect
24. #36576C2semidirect
25. #36563C2semidirect
26. #36410C2semidirect
27. #36376C2semidirect
28. #36179C2semidirect
29. #35280C2semidirect
30. #35186C2semidirect
31. #35008C2semidirect
32. C2×#2582C2semidirect
33. #34691C2semidirect
34. #34460C2semidirect
35. C4×#548C2semidirect
974. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#596382
#594112
#594092
#593212
#593122
#508482
#485282
#461042
#456752
#454342
#453932
#439742
#429392
#426992
#408942
#402142
#399802
#397612
#397262
#393842
#389502
#380792
#365802
#365762
#365632
#364102
#363762
#361792
#352802
#351862
#350082
C2×#25822
#346912
#344602
C4×#5482