Finite Group Databasebeta

← #7683802

Subgroups — #7683802

Order 512.

4991 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59697C212yesmaximal, complemented
2#59695C212yesmaximal, complemented
3#59694C212yesmaximal, complemented
4#59692C212yesmaximal, complemented
5#59402C212yesmaximal, complemented
6#59400C212yesmaximal, complemented
7#59395C212yesmaximal, complemented
8#59393C212yesmaximal, complemented
9#59300C214yesmaximal, complemented
10#59289C214yesmaximal, complemented
11#45348C212yesmaximal, complemented
12#45342C212yesmaximal, complemented
13#45309C212yesmaximal, complemented
14#45298C212yesmaximal, complemented
15#45235C212yesmaximal, complemented
16#45194C212yesmaximal, complemented
17#45184C212yesmaximal, complemented
18#45089C212yesmaximal, complemented
19#44462C214yesmaximal, complemented
20#43936C214yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35667C211yesmaximal, characteristic, complemented
23#35661C211yesmaximal, characteristic
24#35633C211yesmaximal, characteristic
25#35630C211yesmaximal, characteristic, complemented
26#35585C211yesmaximal, characteristic, complemented
27#34814C211yesmaximal, characteristic, complemented
28#34810C211yesmaximal, characteristic
29C2×#2429C211yesmaximal, characteristic, complemented
30#34266C211yesmaximal, characteristic, complemented
31#34253C211yesmaximal, characteristic, complemented
32#34209C211yesmaximal, characteristic, complemented
33#34203C211yesmaximal, characteristic, complemented
34#34203C211yesmaximal, characteristic, complemented
35#34182C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C22×C4⋊Q8C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#519C2211yescharacteristic
44C2×#519C2211yescharacteristic
45C2×#519C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2802C2214yescomplemented
49#2802C2214yescomplemented
50#2801C2214yes—
51#2800C2214yes—
52#2795C2214yes—
53#2793C2214yes—
54#2790C2214yes—
55#2783C2214yes—
56#2780C2214yes—
57#2779C2214yes—
58#2777C2214yescomplemented
59#2777C2214yescomplemented
60#2776C2214yescomplemented
61#2776C2214yescomplemented
62#2772C2214yes—
63#2772C2214yescomplemented
64#2772C2214yescomplemented
65#2766C2214yescomplemented
66#2766C2214yescomplemented
67#2765C2214yes—
68#2739C2214yescomplemented
69#2739C2214yescomplemented
70#2725C2214yes—
71#2718C2214yes—
72#2608C2214yes—
73#2606C2214yescomplemented
74#2606C2214yescomplemented
75#2601C2214yes—
76#2596C2214yescomplemented
77#2596C2214yescomplemented
78#2595C2214yes—
79#2594C2214yes—
80#2594C2214yescomplemented
81#2594C2214yescomplemented
82#2593C2214yes—
83#2590C2214yescomplemented
84#2590C2214yescomplemented
85#2587C2214yes—
86#2587C2214yes—
87#2585C2214yescomplemented
88#2585C2214yescomplemented
89#2576C2214yes—
90#2573C2214yes—
91#2570C2214yescomplemented
92#2569C2214yes—
93#2558C2214yes—
94#2546C2212yescomplemented
95#2546C2212yescomplemented
96#2545C2212yescomplemented
97#2545C2212yescomplemented
98#2538C2212yes—
99#2538C2212yes—
100#2536C2212yes—
101#2536C2212yes—
102#2534C2214yes—
103#2529C2214yes—
104#2525C2214yes—
105#2525C2214yes—
106#2522C2214yescomplemented
107#2522C2214yescomplemented
108#2518C2214yes—
109#2518C2214yes—
110#2516C2214yes—
111#2515C2214yes—
112#2514C2212yescomplemented
113#2514C2212yescomplemented
114#2514C2212yescomplemented
115#2514C2212yescomplemented
116#2511C2212yescomplemented
117#2511C2212yescomplemented
118#2511C2212yescomplemented
119#2511C2212yescomplemented
120#2509C2212yescomplemented
121#2509C2212yescomplemented
122#2509C2214yescomplemented
123#2508C2212yescomplemented
124#2508C2212yescomplemented
125#2507C2212yescomplemented
126#2507C2212yescomplemented
127#2507C2214yescomplemented
128#2506C2212yescomplemented
129#2506C2212yescomplemented
130#2504C2211yescharacteristic
131#2503C2211yescharacteristic
132#2502C2211yescharacteristic
133#2501C2211yescharacteristic
134#2500C2211yescharacteristic
135#2500C2211yescharacteristic
136#2499C2211yescharacteristic
137#2499C2211yescharacteristic
138#2498C2214yes—
139#2498C2214yes—
140#2498C2212yes—
141#2498C2212yes—
142#2497C2211yescharacteristic
143#2497C2211yescharacteristic
144#2497C2214yescomplemented
145#2496C2211yescharacteristic
146#2496C2211yescharacteristic
147#2495C2211yescharacteristic
148#2495C2211yescharacteristic
149#2494C2211yescharacteristic
150#2494C2211yescharacteristic
151#2494C2214yescomplemented
152#2493C2214yes—
153#2493C2214yes—
154#2493C2212yes—
155#2493C2212yes—
156#2486C2214yes—
157#2480C2212yes—
158#2480C2212yes—
159#2470C2214yes—
160#2448C2212yescomplemented
161#2448C2212yescomplemented
162#2446C2212yescomplemented
163#2446C2212yescomplemented
164#2442C2214yes—
165#2441C2214yescomplemented
166#2429C2212yes—
167#2429C2212yes—
168#2429C2212yes—
169#2429C2212yes—
170#2429C2212yes—
171#2429C2212yes—
172#2429C2212yes—
173#2429C2212yes—
174#2429C2212yes—
175#2429C2212yes—
176#2429C2212yes—
177#2429C2212yes—
178#2429C2212yescomplemented
179#2429C2212yescomplemented
180#2429C2212yescomplemented
181#2429C2212yescomplemented
182#2427C2212yes—
183#2427C2212yes—
184#2426C2212yes—
185#2426C2212yes—
186#2423C2212yescomplemented
187#2423C2212yescomplemented
188#2421C2212yescomplemented
189#2421C2212yescomplemented
190#2417C2212yes—
191#2417C2212yes—
192#2415C2212yes—
193#2415C2212yes—
194#2413C2214yes—
195#2413C2214yes—
196#2413C2214yes—
197#2412C2212yes—
198#2412C2212yes—
199#2411C2214yes—
200#2401C2212yes—
201#2401C2212yes—
202#2395C2212yes—
203#2395C2212yes—
204C2×#398C2212yes—
205C2×#396C2212yes—
206#2374C2214yes—
207#2373C2214yes—
208#2370C2214yescomplemented
209#2367C2212yescomplemented
210#2367C2212yescomplemented
211#2365C2212yescomplemented
212#2365C2212yescomplemented
213#2365C2212yescomplemented
214#2365C2212yescomplemented
215#2365C2212yescomplemented
216#2365C2212yescomplemented
217#2362C2212yes—
218#2362C2212yes—
219#2362C2212yes—
220#2362C2212yes—
221#2362C2212yescomplemented
222#2362C2212yescomplemented
223#2360C2212yes—
224#2360C2212yes—
225#2360C2212yes—
226#2360C2212yes—
227#2360C2212yescomplemented
228#2360C2212yescomplemented
229#2353C2214yes—
230#2352C2214yes—
231#2351C2212yescomplemented
232#2351C2212yescomplemented
233#2351C2212yescomplemented
234#2351C2212yescomplemented
235Q8×C4⋊C4C2212yescomplemented
236Q8×C4⋊C4C2212yescomplemented
237Q8×C4⋊C4C2212yescomplemented
238Q8×C4⋊C4C2212yescomplemented
239#2347C2214yescomplemented
240#2347C2212yescomplemented
241#2346C2212yescomplemented
242#2345C2212yescomplemented
243#2344C2214yes—
244#2344C2214yes—
245#2344C2214yes—
246#2344C2214yes—
247#2344C2212yescomplemented
248#2342C2214yes—
249#2342C2214yes—
250#2327C2212yescomplemented
251#2327C2212yescomplemented
252#2323C2212yes—
253#2323C2212yes—
254#2323C2212yes—
255#2323C2212yes—
256#2322C2214yes—
257#2320C2212yescomplemented
258#2319C2212yescomplemented
259#2317C2211yescharacteristic
260#2316C2211yescharacteristic
261#2316C2211yescharacteristic
262#2316C2211yescharacteristic
263#2316C2214yes—
264#2311C2211yescharacteristic
265#2310C2211yescharacteristic
266#2310C2211yescharacteristic
267#2310C2211yescharacteristic
268C4×C4⋊Q8C2212yescomplemented
269C4×C4⋊Q8C2212yescomplemented
270C4×#126C2212yes—
271C4×#126C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×#123C2212yes—
277C4×#123C2212yes—
278C4×#123C2214yes—
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2295C2212yescomplemented
284C2×#391C2211yescharacteristic
285#2293C2212yescomplemented
286C2×#389C2211yescharacteristic
287C2×#389C2212yes—
288C2×#388C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2214yes—
293#2280C2211yescharacteristic
294#2280C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#536—28no—
304#536—44no—
305C2×C4⋊Q8—28no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#125C2314yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317#525—44no—
318C2×#123C2314yes—
319C2×#123C2312yes—
320C2×#123C2312yes—
321C2×#123C2312yes—
322C2×#123C2314yes—
323C2×C22⋊Q8—28no—
324C2×C22⋊Q8—28no—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#120C2312yes—
342#520—28no—
343#519—44no—
344#519—44no—
345#519—44no—
346C2×C4×Q8—28no—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×#117—44no—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2314yes—
378C2×#117C2314yes—
379C2×#117C2312yes—
380C2×#117C2314yes—
381C2×#117C2312yes—
382C2×#117C2314yes—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2311yescharacteristic
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2312yes—
400C22×C22⋊C4C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2312yes—
403C22×C42C2311yescharacteristic
404C22×C42C2312yes—
405#401C2314yes—
406#401C2312yes—
407#401C2314yes—
408#401C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#400C2314yes—
429#399C2312yes—
430#399C2314yes—
431#399C2312yes—
432#399C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2311yescharacteristic
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2314yes—
517#390C2314yes—
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2314yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#386C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2314yes—
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2314yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#383C2312yes—
703#383C2312yes—
704#383C2314yes—
705#383C2314yes—
706#383C2314yes—
707#382C2314yes—
708#382C2314yes—
709#382C2312yes—
710#382C2314yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2312yes—
722#381C2314yes—
723#381C2312yes—
724#381C2312yes—
725#381C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2314yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#379C2312yes—
749#379C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815#376C2314yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2311yescharacteristic
819C2×#95C2311yescharacteristic
820C2×#95C2312yes—
821C43C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C22×Q8—24no—
827C22×Q8—24no—
828C22×Q8—24no—
829C22×Q8—24no—
830C22×Q8—24no—
831C22×Q8#4118yes—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C23×C4—24no—
842C23×C4—24no—
843C23×C4—24no—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C4⋊Q8—28no—
863C4⋊Q8—28no—
864C4⋊Q8—28no—
865C4⋊Q8—28no—
866C4⋊Q8—28no—
867C4⋊Q8—44no—
868#126—28no—
869#126—44no—
870#125—48no—
871#124—28no—
872#124—44no—
873#123—216no—
874#123—28no—
875#123—44no—
876#123—44no—
877#123—48no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—28no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—42no—
889C22⋊Q8—42no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892#121—42no—
893#121—42no—
894#120—44no—
895C4×Q8—28no—
896C4×Q8—28no—
897C4×Q8—28no—
898C4×Q8—28no—
899C4×Q8—28no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×D4—216no—
913C4×D4—28no—
914C4×D4—44no—
915C4×D4—44no—
916#117—24no—
917#117—24no—
918#117—24no—
919#117—24no—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—28no—
924#117—44no—
925#117—48no—
926#117—44no—
927#117—48no—
928#117—48no—
929#117—48no—
930#117—42no—
931#117—42no—
932C2×C4⋊C4—28no—
933C2×C4⋊C4—28no—
934C2×C4⋊C4—28no—
935C2×C4⋊C4—24no—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—28no—
938C2×C4⋊C4—28no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—42no—
941C2×C4⋊C4—42no—
942C2×C4⋊C4#4118yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C22⋊C4—28no—
1017C2×C22⋊C4—28no—
1018C2×C22⋊C4—24no—
1019C2×C22⋊C4—42no—
1020C2×C22⋊C4—44no—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C42—28no—
1070C2×C42—24no—
1071C2×C42—24no—
1072C2×C42—44no—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107#95C2414yes—
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24C2511yescharacteristic
1195C24C2512yes—
1196C24C2511yescharacteristic
1197C24C2511yescharacteristic
1198#41—416no—
1199C2×Q8—232no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—416no—
1214C2×Q8C2×#4118yes—
1215C2×Q8C2×#4118yes—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—28no—
1261C22×C4—42no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—42no—
1265C22×C4—41no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—41no—
1277C22×C4—416no—
1278C22×C4C2×#4118yes—
1279C22×C4C2×#4118yes—
1280C22×C4C2×#4114yes—
1281C22×C4C2×#4114yes—
1282C22×C4H(5,𝔽2)14yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2514yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C4⋊C4—22no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—28no—
1332C4⋊C4—28no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—28no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4C2×#4118yes—
1386C4⋊C4C2×#4118yes—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
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—28no—
1403C22⋊C4—28no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—24no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C42−1+414yes—
1435C42—28no—
1436C42—22no—
1437C42—22no—
1438C42—28no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—28no—
1446C42—24no—
1447C42—24no—
1448C42—24no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—42no—
1456C42—42no—
1457C42—42no—
1458C42—42no—
1459C42—44no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42—44no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—22no—
1482C23—22no—
1483C23—21no—
1484C23—22no—
1485C23—22no—
1486C23—21no—
1487C23—21no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—21no—
1492C23—21no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—82no—
1498C23—82no—
1499C23—82no—
1500C23C22×#4112yes—
1501C23C22×#4112yes—
1502C23C2×H(5,𝔽2)12yes—
1503C23C2×2−1+412yes—
1504C23C2611yescharacteristic
1505Q8—216no—
1506Q8—216no—
1507Q8—48no—
1508Q8—48no—
1509Q8—44no—
1510D4—48no—
1511D4—44no—
1512D4—84no—
1513D4—84no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—24no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—21no—
1524C2×C4—216no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—24no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—48no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—48no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—48no—
1608C2×C4—88no—
1609C2×C4—82no—
1610C2×C4—84no—
1611C2×C4—84no—
1612C2×C4—84no—
1613C2×C4#553116yes—
1614C2×C4C22×#4118yes—
1615C2×C4C22×#4118yes—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4C22×#4112yes—
1620C2×C4C2×H(5,𝔽2)12yes—
1621C2×C4C2×H(5,𝔽2)12yes—
1622C2×C4C2×2−1+412yes—
1623C2×C4C2×2−1+412yes—
1624C2×C4#58512yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—42no—
1639C22—41no—
1640C22—42no—
1641C22—42no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—42no—
1647C22—41no—
1648C22—41no—
1649C22—42no—
1650C22—41no—
1651C22—42no—
1652C22—88no—
1653C22C2×#55314yes—
1654C22C23×#4111yescharacteristic
1655C22C23×#4111yescharacteristic
1656C22C22×H(5,𝔽2)11yescharacteristic
1657C22C22×2−1+411yescharacteristic
1658C22C2×#58511yescharacteristic
1659C222−1+611yescharacteristic
1660C222−1+611yescharacteristic
1661C4—28no—
1662C4—22no—
1663C4—22no—
1664C4—22no—
1665C4—28no—
1666C4—41no—
1667C4—41no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—41no—
1673C4—42no—
1674C4—41no—
1675C4—44no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C4—41no—
1687C4—41no—
1688C4—42no—
1689C4—44no—
1690C4C2×#55314yes—
1691C4C2×#55314yes—
1692C2—24no—
1693C2—42no—
1694C2—82no—
1695C2—81no—
1696C2C22×#55311yescharacteristic
1697C2#6283511yescharacteristic
1698C2#6288811yescharacteristic
1699C2#6299111yescharacteristic
1700C2#6299811yescharacteristic
1701C2#6299811yescharacteristic
1702C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59697C2semidirect
2. #59695C2semidirect
3. #59694C2semidirect
4. #59692C2semidirect
5. #59402C2semidirect
6. #59400C2semidirect
7. #59395C2semidirect
8. #59393C2semidirect
9. #59300C2semidirect
10. #59289C2semidirect
11. #45348C2semidirect
12. #45342C2semidirect
13. #45309C2semidirect
14. #45298C2semidirect
15. #45235C2semidirect
16. #45194C2semidirect
17. #45184C2semidirect
18. #45089C2semidirect
19. #44462C2semidirect
20. #43936C2semidirect
21. #35673C2semidirect
22. #35667C2semidirect
25. #35630C2semidirect
26. #35585C2semidirect
27. #34814C2semidirect
29. C2×#2429C2semidirect
30. #34266C2semidirect
31. #34253C2semidirect
32. #34209C2semidirect
33. #34203C2semidirect
34. #34203C2semidirect
35. #34182C2semidirect
48. #2802C22semidirect
49. #2802C22semidirect
58. #2777C22semidirect
59. #2777C22semidirect
60. #2776C22semidirect
61. #2776C22semidirect
63. #2772C22semidirect
64. #2772C22semidirect
65. #2766C22semidirect
66. #2766C22semidirect
68. #2739C22semidirect
69. #2739C22semidirect
73. #2606C22semidirect
74. #2606C22semidirect
76. #2596C22semidirect
77. #2596C22semidirect
80. #2594C22semidirect
81. #2594C22semidirect
83. #2590C22semidirect
84. #2590C22semidirect
87. #2585C22semidirect
88. #2585C22semidirect
91. #2570C22semidirect
94. #2546C22semidirect
95. #2546C22semidirect
96. #2545C22semidirect
97. #2545C22semidirect
106. #2522C22semidirect
107. #2522C22semidirect
112. #2514C22semidirect
113. #2514C22semidirect
114. #2514C22semidirect
115. #2514C22semidirect
116. #2511C22semidirect
117. #2511C22semidirect
118. #2511C22semidirect
119. #2511C22semidirect
120. #2509C22semidirect
121. #2509C22semidirect
122. #2509C22semidirect
123. #2508C22semidirect
124. #2508C22semidirect
125. #2507C22semidirect
126. #2507C22semidirect
127. #2507C22semidirect
128. #2506C22semidirect
129. #2506C22semidirect
144. #2497C22semidirect
151. #2494C22semidirect
160. #2448C22semidirect
161. #2448C22semidirect
162. #2446C22semidirect
163. #2446C22semidirect
165. #2441C22semidirect
178. #2429C22semidirect
179. #2429C22semidirect
180. #2429C22semidirect
181. #2429C22semidirect
186. #2423C22semidirect
187. #2423C22semidirect
188. #2421C22semidirect
189. #2421C22semidirect
208. #2370C22semidirect
209. #2367C22semidirect
210. #2367C22semidirect
211. #2365C22semidirect
212. #2365C22semidirect
213. #2365C22semidirect
214. #2365C22semidirect
215. #2365C22semidirect
216. #2365C22semidirect
221. #2362C22semidirect
222. #2362C22semidirect
227. #2360C22semidirect
228. #2360C22semidirect
231. #2351C22semidirect
232. #2351C22semidirect
233. #2351C22semidirect
234. #2351C22semidirect
235. Q8×C4⋊C4C22semidirect
236. Q8×C4⋊C4C22semidirect
237. Q8×C4⋊C4C22semidirect
238. Q8×C4⋊C4C22semidirect
239. #2347C22semidirect
240. #2347C22semidirect
241. #2346C22semidirect
242. #2345C22semidirect
247. #2344C22semidirect
250. #2327C22semidirect
251. #2327C22semidirect
257. #2320C22semidirect
258. #2319C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
283. #2295C22semidirect
285. #2293C22semidirect

Maximal subgroups

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

subgroupindex
#596972
#596952
#596942
#596922
#594022
#594002
#593952
#593932
#593002
#592892
#453482
#453422
#453092
#452982
#452352
#451942
#451842
#450892
#444622
#439362
#356732
#356672
#356612
#356332
#356302
#355852
#348142
#348102
C2×#24292
#342662
#342532
#342092
#342032
#341822