Finite Group Databasebeta

← #7692374

Subgroups — #7692374

Order 512.

4860 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59562C212yesmaximal
2#59497C212yesmaximal, complemented
3#59484C212yesmaximal, complemented
4#59429C211yesmaximal, characteristic, complemented
5#59365C214yesmaximal, complemented
6#59256C211yesmaximal, characteristic, complemented
7#59230C211yesmaximal, characteristic, complemented
8#59203C212yesmaximal, complemented
9#45252C212yesmaximal, complemented
10#45162C212yesmaximal, complemented
11#44055C214yesmaximal, complemented
12#44048C214yesmaximal, complemented
13#39032C212yesmaximal, complemented
14#39026C212yesmaximal, complemented
15#38964C211yesmaximal, characteristic, complemented
16#38921C211yesmaximal, characteristic, complemented
17#38406C214yesmaximal, complemented
18#37859C212yesmaximal, complemented
19#36480C211yesmaximal, characteristic, complemented
20#36439C212yesmaximal, complemented
21#36394C212yesmaximal, complemented
22#36301C211yesmaximal, characteristic, complemented
23#36299C211yesmaximal, characteristic, complemented
24#36209C211yesmaximal, characteristic, complemented
25#36173C212yesmaximal, complemented
26#36154C211yesmaximal, characteristic, complemented
27#35993C212yesmaximal, complemented
28#35828C212yesmaximal, complemented
29#34941C212yesmaximal, complemented
30#34700C211yesmaximal, characteristic
31#34317C211yesmaximal, characteristic, complemented
32#34242C211yesmaximal, characteristic, complemented
33#34180C212yesmaximal, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35D4×#117C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#529C2211yescharacteristic
39C22×C4×D4C2211yescharacteristic
40C22×#117C2212yes—
41#2864C2212yescomplemented
42#2863C2212yescomplemented
43#2863C2212yescomplemented
44#2859C2211yescharacteristic, complemented
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic, complemented
47#2852C2214yescomplemented
48#2848C2212yes—
49#2794C2214yescomplemented
50#2793C2214yescomplemented
51#2788C2214yescomplemented
52#2784C2214yescomplemented
53#2779C2214yescomplemented
54#2778C2214yes—
55#2770C2214yes—
56#2766C2214yescomplemented
57#2765C2214yescomplemented
58#2763C2214yescomplemented
59#2762C2214yescomplemented
60#2750C2214yes—
61#2745C2214yes—
62#2744C2214yes—
63#2739C2214yes—
64#2737C2214yes—
65#2736C2214yes—
66#2735C2214yes—
67#2720C2214yescomplemented
68#2698C2214yescomplemented
69#2680C2214yescomplemented
70#2655C2214yescomplemented
71#2650C2214yescomplemented
72#2628C2212yescomplemented
73#2625C2212yescomplemented
74#2605C2214yescomplemented
75#2601C2214yescomplemented
76#2599C2214yescomplemented
77#2599C2214yescomplemented
78#2582C2211yescharacteristic, complemented
79#2581C2212yescomplemented
80#2580C2212yes—
81#2578C2214yes—
82#2577C2214yescomplemented
83#2577C2214yescomplemented
84#2576C2214yes—
85#2575C2214yescomplemented
86#2575C2214yescomplemented
87#2574C2214yescomplemented
88#2574C2214yescomplemented
89#2574C2214yescomplemented
90#2572C2214yes—
91#2571C2211yescharacteristic, complemented
92#2570C2212yescomplemented
93#2570C2212yescomplemented
94#2567C2211yescharacteristic, complemented
95#2567C2212yescomplemented
96#2563C2211yescharacteristic
97#2563C2212yes—
98#2563C2212yescomplemented
99#2561C2214yes—
100#2552C2212yescomplemented
101#2551C2211yescharacteristic, complemented
102#2538C2212yes—
103#2538C2211yescharacteristic
104#2536C2212yes—
105#2531C2214yescomplemented
106#2530C2214yescomplemented
107#2528C2214yescomplemented
108#2527C2214yescomplemented
109#2527C2214yescomplemented
110#2524C2214yescomplemented
111#2520C2214yescomplemented
112#2518C2214yescomplemented
113#2517C2214yescomplemented
114#2516C2214yescomplemented
115#2515C2214yescomplemented
116#2515C2214yescomplemented
117#2514C2212yescomplemented
118#2509C2212yescomplemented
119#2509C2212yescomplemented
120#2508C2212yescomplemented
121#2508C2212yescomplemented
122#2508C2212yescomplemented
123#2508C2212yescomplemented
124#2508C2212yescomplemented
125#2499C2212yes—
126#2497C2212yes—
127#2497C2214yescomplemented
128#2497C2212yescomplemented
129#2497C2212yescomplemented
130#2495C2212yes—
131#2495C2212yescomplemented
132#2495C2212yescomplemented
133#2494C2212yes—
134#2494C2212yescomplemented
135#2494C2212yescomplemented
136#2492C2212yes—
137#2492C2212yescomplemented
138#2489C2212yes—
139#2489C2212yescomplemented
140#2489C2212yescomplemented
141#2488C2214yescomplemented
142#2487C2212yes—
143#2486C2212yescomplemented
144#2485C2212yes—
145#2485C2212yes—
146#2485C2212yescomplemented
147#2480C2212yes—
148#2480C2214yes—
149#2478C2214yes—
150#2477C2214yes—
151#2477C2214yes—
152#2477C2214yescomplemented
153#2475C2214yescomplemented
154#2474C2214yes—
155#2472C2214yes—
156#2471C2214yes—
157#2468C2212yes—
158#2465C2214yes—
159#2465C2214yescomplemented
160#2458C2214yescomplemented
161#2457C2212yes—
162#2454C2212yes—
163#2454C2211yescharacteristic
164#2452C2212yes—
165#2450C2214yes—
166#2447C2212yes—
167#2447C2211yescharacteristic
168#2447C2212yes—
169#2442C2212yes—
170#2442C2211yescharacteristic
171#2440C2212yescomplemented
172#2440C2212yescomplemented
173#2439C2212yes—
174#2439C2212yescomplemented
175#2439C2212yescomplemented
176#2437C2214yes—
177#2435C2211yescharacteristic
178#2427C2211yescharacteristic
179#2423C2214yescomplemented
180#2422C2212yes—
181#2421C2212yes—
182#2421C2214yescomplemented
183#2421C2212yescomplemented
184#2420C2212yes—
185#2420C2211yescharacteristic
186#2418C2212yes—
187#2417C2212yes—
188#2417C2211yescharacteristic
189#2417C2212yescomplemented
190#2415C2212yescomplemented
191#2411C2214yes—
192#2408C2211yescharacteristic
193#2396C2214yescomplemented
194#2396C2214yescomplemented
195#2395C2212yes—
196#2392C2212yes—
197#2373C2212yes—
198#2373C2212yescomplemented
199#2373C2214yescomplemented
200#2370C2212yescomplemented
201#2369C2211yescharacteristic, complemented
202#2367C2212yes—
203#2367C2212yes—
204#2365C2211yescharacteristic, complemented
205#2365C2212yescomplemented
206#2363C2212yes—
207#2363C2212yes—
208#2362C2211yescharacteristic
209#2362C2214yescomplemented
210#2362C2212yescomplemented
211#2362C2212yescomplemented
212#2362C2211yescharacteristic, complemented
213#2360C2212yescomplemented
214#2357C2212yes—
215#2356C2212yescomplemented
216#2356C2212yescomplemented
217#2356C2212yescomplemented
218#2355C2211yescharacteristic, complemented
219#2355C2211yescharacteristic, complemented
220#2355C2211yescharacteristic, complemented
221#2354C2211yescharacteristic
222#2354C2211yescharacteristic
223#2354C2211yescharacteristic
224#2354C2212yescomplemented
225#2352C2212yes—
226#2352C2212yes—
227#2352C2212yescomplemented
228#2352C2212yescomplemented
229Q8×C4⋊C4C2211yescharacteristic, complemented
230#2349C2212yes—
231D4×C4⋊C4C2211yescharacteristic
232D4×C4⋊C4C2211yescharacteristic
233D4×C4⋊C4C2211yescharacteristic
234#2347C2212yes—
235#2347C2211yescharacteristic
236#2347C2211yescharacteristic, complemented
237#2346C2212yes—
238#2346C2212yes—
239#2346C2212yescomplemented
240#2345C2212yescomplemented
241#2345C2212yescomplemented
242#2344C2212yes—
243#2344C2212yescomplemented
244#2344C2212yescomplemented
245#2344C2212yescomplemented
246#2343C2214yescomplemented
247#2343C2214yescomplemented
248#2343C2214yescomplemented
249#2342C2214yes—
250#2342C2214yes—
251#2342C2214yes—
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254#2335C2214yescomplemented
255#2332C2214yescomplemented
256#2323C2212yescomplemented
257#2317C2212yescomplemented
258#2317C2212yescomplemented
259#2314C2214yes—
260#2314C2214yes—
261#2314C2212yescomplemented
262C4×C4⋊Q8C2211yescharacteristic, complemented
263C4×C4⋊Q8C2211yescharacteristic, complemented
264C4×C4⋊Q8C2212yescomplemented
265C4×#125C2212yescomplemented
266C4×#125C2212yescomplemented
267C4×#126C2212yes—
268C4×#126C2212yescomplemented
269C4×#124C2211yescharacteristic
270C4×#124C2212yes—
271C4×#124C2212yes—
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic, complemented
275C4×C22⋊Q8C2214yescomplemented
276C4×#121C2211yescharacteristic
277C4×#120C2212yes—
278#2293C2212yes—
279#2293C2211yescharacteristic
280#2293C2212yes—
281#2293C2212yes—
282#2293C2212yes—
283#2290C2214yes—
284#2285C2211yescharacteristic
285#2285C2214yescomplemented
286#2285C2211yescharacteristic, complemented
287#2283C2214yescomplemented
288#2280C2212yes—
289#2280C2212yes—
290C2×#380C2212yes—
291#2274C2212yescomplemented
292#2274C2212yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×Q8C2212yescomplemented
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#556—28no—
302#554—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307#529—28no—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2311yescharacteristic
315C2×#124C2312yes—
316C2×#124C2311yescharacteristic
317C2×#123C2312yes—
318C2×#123C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×#121C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#120C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2314yes—
343C2×C4×D4—28no—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×#117—216no—
360C2×#117C2314yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2314yes—
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2314yes—
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2314yes—
373C2×#117C2314yes—
374C2×#117C2311yescharacteristic
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2314yes—
383C22×C42C2314yes—
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386#401C2314yes—
387#401C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#399C2314yes—
405#399C2312yes—
406#399C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#394C2312yes—
449#394C2312yes—
450#394C2314yes—
451#394C2312yes—
452#394C2312yes—
453#394C2312yes—
454#394C2314yes—
455#394C2314yes—
456#393C2314yes—
457#393C2314yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#392C2312yes—
464#391C2314yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2312yes—
472#391C2311yescharacteristic
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2312yes—
483#390C2311yescharacteristic
484#390C2312yes—
485#390C2312yes—
486#390C2314yes—
487#390C2311yescharacteristic
488#390C2312yes—
489#390C2314yes—
490#390C2312yes—
491#390C2312yes—
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2314yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2314yes—
533#388C2312yes—
534#388C2312yes—
535#388C2312yes—
536#388C2312yes—
537#388C2312yes—
538#388C2312yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2312yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2312yes—
635#386C2312yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#384C2312yes—
657#384C2311yescharacteristic
658#384C2311yescharacteristic
659#384C2314yes—
660#384C2314yes—
661#384C2312yes—
662#384C2311yescharacteristic
663#384C2311yescharacteristic
664#383C2312yes—
665#383C2312yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#383C2314yes—
670#382C2312yes—
671#382C2312yes—
672#382C2312yes—
673#382C2314yes—
674#382C2314yes—
675#382C2314yes—
676#382C2312yes—
677#382C2311yescharacteristic
678#382C2312yes—
679#382C2312yes—
680#382C2312yes—
681#382C2314yes—
682#382C2314yes—
683#382C2312yes—
684#382C2314yes—
685#382C2312yes—
686#381C2314yes—
687#381C2314yes—
688#381C2314yes—
689#381C2312yes—
690#381C2314yes—
691#381C2314yes—
692#381C2312yes—
693#380C2314yes—
694#380C2312yes—
695#380C2314yes—
696#380C2312yes—
697#380C2311yescharacteristic
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2312yes—
723#379C2312yes—
724#379C2314yes—
725#379C2314yes—
726#379C2312yes—
727#379C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806#376C2314yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C43C2312yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C25C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×D4—24no—
822C22×D4—24no—
823C22×D4—42no—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C23×C4—28no—
831C23×C4—28no—
832C23×C4—44no—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852#126—28no—
853#126—28no—
854#126—28no—
855#125—24no—
856#125—28no—
857#125—82no—
858#124—24no—
859#124—24no—
860#124—28no—
861#123—28no—
862#123—84no—
863C22⋊Q8—28no—
864C22⋊Q8—24no—
865C22⋊Q8—24no—
866C22⋊Q8—24no—
867C22⋊Q8—216no—
868C22⋊Q8—48no—
869C22⋊Q8—44no—
870C22⋊Q8—42no—
871C22⋊Q8—82no—
872C22⋊Q8—84no—
873C22⋊Q8—82no—
874#121—24no—
875#121—24no—
876#120—44no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—24no—
880C4×Q8—28no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×Q8—42no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—84no—
887C4×D4—24no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—24no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—24no—
896C4×D4—44no—
897C4×D4—42no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—42no—
901C4×D4#4118yes—
902#117—28no—
903#117—28no—
904#117—28no—
905#117—28no—
906#117—24no—
907#117—216no—
908#117—216no—
909#117—44no—
910#117—48no—
911#117—42no—
912#117—42no—
913#117—44no—
914#117—84no—
915#117—84no—
916#117#4118yes—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—28no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C22⋊C4—216no—
991C2×C22⋊C4—28no—
992C2×C22⋊C4—84no—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C42—216no—
1046C2×C42—24no—
1047C2×C42—24no—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2412yes—
1108#95C2411yescharacteristic
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24—24no—
1165C24—24no—
1166C24—24no—
1167C24—42no—
1168C24—42no—
1169C24—42no—
1170C24—42no—
1171C24C2511yescharacteristic
1172C24C2511yescharacteristic
1173C24C2512yes—
1174C24C2512yes—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—44no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—416no—
1207C2×D4C2×#4114yes—
1208C2×D42−1+414yes—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—28no—
1216C22×C4—28no—
1217C22×C4—24no—
1218C22×C4—28no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—28no—
1236C22×C4—22no—
1237C22×C4—44no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—432no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—44no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4C2×#4118yes—
1254C22×C4C2×#4114yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2514yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C4⋊C4—22no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—28no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—41no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4C2×#4114yes—
1352C4⋊C4C2×#4114yes—
1353C4⋊C4C2×#4114yes—
1354C22⋊C4—28no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—24no—
1360C22⋊C4—22no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—22no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4C2×#4118yes—
1405C22⋊C4C2×#4118yes—
1406C42—28no—
1407C42—28no—
1408C42—28no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—24no—
1416C42—24no—
1417C42—24no—
1418C42—22no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—24no—
1423C42—22no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—24no—
1428C42—24no—
1429C42—42no—
1430C42—44no—
1431C42—44no—
1432C42—42no—
1433C42—42no—
1434C42—42no—
1435C42—44no—
1436C42—44no—
1437C42—42no—
1438C42—44no—
1439C42—42no—
1440C42—42no—
1441C42—44no—
1442C42—42no—
1443C42—41no—
1444C42C2×#4118yes—
1445C42C2×#4114yes—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—21no—
1456C23—21no—
1457C23—22no—
1458C23—21no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—21no—
1463C23—22no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—48no—
1472C23—48no—
1473C23—48no—
1474C23—84no—
1475C23—84no—
1476C23—84no—
1477C23—84no—
1478C23C22×#4112yes—
1479C23C22×#4114yes—
1480C23C2×2−1+414yes—
1481C23C2611yescharacteristic
1482Q8—48no—
1483Q8—44no—
1484Q8—44no—
1485Q8—84no—
1486Q8—88no—
1487D4—28no—
1488D4—28no—
1489D4—44no—
1490D4—48no—
1491D4—84no—
1492D4—84no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—28no—
1506C2×C4—216no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—24no—
1510C2×C4—21no—
1511C2×C4—24no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—48no—
1577C2×C4—416no—
1578C2×C4—48no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—48no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—82no—
1585C2×C4—82no—
1586C2×C4—88no—
1587C2×C4—88no—
1588C2×C4—164no—
1589C2×C4C22×#4112yes—
1590C2×C4C22×#4114yes—
1591C2×C4C22×#4114yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4114yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4112yes—
1597C2×C4C2×2−1+412yes—
1598C2×C4#58512yes—
1599C2×C4#58512yes—
1600C2×C4#58512yes—
1601C22—24no—
1602C22—24no—
1603C22—22no—
1604C22—24no—
1605C22—24no—
1606C22—24no—
1607C22—22no—
1608C22—22no—
1609C22—24no—
1610C22—41no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—41no—
1615C22—41no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—816no—
1630C22C23×#4111yescharacteristic
1631C22C23×#4111yescharacteristic
1632C22C22×2−1+411yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22C2×#58511yescharacteristic
1635C22C2×#58511yescharacteristic
1636C22H(7,𝔽2)11yescharacteristic
1637C4—22no—
1638C4—24no—
1639C4—24no—
1640C4—22no—
1641C4—22no—
1642C4—24no—
1643C4—41no—
1644C4—41no—
1645C4—42no—
1646C4—44no—
1647C4—42no—
1648C4—41no—
1649C4—44no—
1650C4—41no—
1651C4—42no—
1652C4—42no—
1653C4—41no—
1654C4—41no—
1655C4—42no—
1656C4—44no—
1657C4—42no—
1658C4—41no—
1659C4—42no—
1660C4—44no—
1661C4—42no—
1662C4—42no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4#347514yes—
1667C4#349514yes—
1668C2—44no—
1669C2—44no—
1670C2—42no—
1671C2—81no—
1672C2C2×#347511yescharacteristic
1673C2C2×#349511yescharacteristic
1674C2#6281611yescharacteristic
1675C2#6293811yescharacteristic
1676C2#6299411yescharacteristic
1677C2#6300011yescharacteristic
1678C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2408C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #59497C2semidirect
3. #59484C2semidirect
4. #59429C2semidirect
5. #59365C2semidirect
6. #59256C2semidirect
7. #59230C2semidirect
8. #59203C2semidirect
9. #45252C2semidirect
10. #45162C2semidirect
11. #44055C2semidirect
12. #44048C2semidirect
13. #39032C2semidirect
14. #39026C2semidirect
15. #38964C2semidirect
16. #38921C2semidirect
17. #38406C2semidirect
18. #37859C2semidirect
19. #36480C2semidirect
20. #36439C2semidirect
21. #36394C2semidirect
22. #36301C2semidirect
23. #36299C2semidirect
24. #36209C2semidirect
25. #36173C2semidirect
26. #36154C2semidirect
27. #35993C2semidirect
28. #35828C2semidirect
29. #34941C2semidirect
31. #34317C2semidirect
32. #34242C2semidirect
33. #34180C2semidirect
34. C4×#556C2semidirect
35. D4×#117C2semidirect
41. #2864C22semidirect
42. #2863C22semidirect
43. #2863C22semidirect
44. #2859C22semidirect
46. #2857C22semidirect
47. #2852C22semidirect
49. #2794C22semidirect
50. #2793C22semidirect
51. #2788C22semidirect
52. #2784C22semidirect
53. #2779C22semidirect
56. #2766C22semidirect
57. #2765C22semidirect
58. #2763C22semidirect
59. #2762C22semidirect
67. #2720C22semidirect
68. #2698C22semidirect
69. #2680C22semidirect
70. #2655C22semidirect
71. #2650C22semidirect
72. #2628C22semidirect
73. #2625C22semidirect
74. #2605C22semidirect
75. #2601C22semidirect
76. #2599C22semidirect
77. #2599C22semidirect
78. #2582C22semidirect
79. #2581C22semidirect
82. #2577C22semidirect
83. #2577C22semidirect
85. #2575C22semidirect
86. #2575C22semidirect
87. #2574C22semidirect
88. #2574C22semidirect
89. #2574C22semidirect
91. #2571C22semidirect
92. #2570C22semidirect
93. #2570C22semidirect
94. #2567C22semidirect
95. #2567C22semidirect
98. #2563C22semidirect
100. #2552C22semidirect
101. #2551C22semidirect
105. #2531C22semidirect
106. #2530C22semidirect
107. #2528C22semidirect
108. #2527C22semidirect
109. #2527C22semidirect
110. #2524C22semidirect
111. #2520C22semidirect
112. #2518C22semidirect
113. #2517C22semidirect
114. #2516C22semidirect
115. #2515C22semidirect
116. #2515C22semidirect
117. #2514C22semidirect
118. #2509C22semidirect
119. #2509C22semidirect
120. #2508C22semidirect
121. #2508C22semidirect
122. #2508C22semidirect
123. #2508C22semidirect
124. #2508C22semidirect
127. #2497C22semidirect
128. #2497C22semidirect
129. #2497C22semidirect
131. #2495C22semidirect
132. #2495C22semidirect
134. #2494C22semidirect
135. #2494C22semidirect
137. #2492C22semidirect
139. #2489C22semidirect
140. #2489C22semidirect
141. #2488C22semidirect
143. #2486C22semidirect
146. #2485C22semidirect
152. #2477C22semidirect
153. #2475C22semidirect
159. #2465C22semidirect
160. #2458C22semidirect
171. #2440C22semidirect
172. #2440C22semidirect
174. #2439C22semidirect
175. #2439C22semidirect
179. #2423C22semidirect
182. #2421C22semidirect
183. #2421C22semidirect
189. #2417C22semidirect
190. #2415C22semidirect
193. #2396C22semidirect
194. #2396C22semidirect
198. #2373C22semidirect
199. #2373C22semidirect
200. #2370C22semidirect
201. #2369C22semidirect
204. #2365C22semidirect
205. #2365C22semidirect
209. #2362C22semidirect
210. #2362C22semidirect
211. #2362C22semidirect
212. #2362C22semidirect
213. #2360C22semidirect
215. #2356C22semidirect
216. #2356C22semidirect
217. #2356C22semidirect
218. #2355C22semidirect
219. #2355C22semidirect
220. #2355C22semidirect
224. #2354C22semidirect
227. #2352C22semidirect
228. #2352C22semidirect
229. Q8×C4⋊C4C22semidirect
236. #2347C22semidirect
239. #2346C22semidirect
240. #2345C22semidirect
241. #2345C22semidirect
243. #2344C22semidirect
244. #2344C22semidirect
245. #2344C22semidirect
246. #2343C22semidirect
247. #2343C22semidirect
248. #2343C22semidirect
254. #2335C22semidirect
255. #2332C22semidirect
256. #2323C22semidirect
257. #2317C22semidirect
258. #2317C22semidirect
261. #2314C22semidirect
262. C4×C4⋊Q8C22semidirect
263. C4×C4⋊Q8C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×#125C22semidirect
266. C4×#125C22semidirect
268. C4×#126C22semidirect
274. C4×C22⋊Q8C22semidirect
275. C4×C22⋊Q8C22semidirect
285. #2285C22semidirect
286. #2285C22semidirect
287. #2283C22semidirect
291. #2274C22semidirect
292. #2274C22semidirect
293. C42×Q8C22semidirect
294. C42×Q8C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#595622
#594972
#594842
#594292
#593652
#592562
#592302
#592032
#452522
#451622
#440552
#440482
#390322
#390262
#389642
#389212
#384062
#378592
#364802
#364392
#363942
#363012
#362992
#362092
#361732
#361542
#359932
#358282
#349412
#347002
#343172
#342422
#341802
C4×#5562
D4×#1172