Finite Group Databasebeta

← #7633115

Subgroups — #7633115

Order 512.

5842 conjugacy classes of subgroups.

The subgroup lattice has 1573 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36606C212yesmaximal, complemented
2#36502C212yesmaximal, complemented
3#36373C212yesmaximal, complemented
4#36291C212yesmaximal, complemented
5#36277C212yesmaximal, complemented
6#36139C212yesmaximal, complemented
7#36121C212yesmaximal, complemented
8#36111C212yesmaximal, complemented
9#36084C212yesmaximal, complemented
10#35992C212yesmaximal, complemented
11#35980C212yesmaximal, complemented
12#35731C214yesmaximal, complemented
13#35729C214yesmaximal, complemented
14#35684C212yesmaximal, complemented
15#35441C214yesmaximal, complemented
16#35423C214yesmaximal, complemented
17#35375C214yesmaximal, complemented
18#35129C211yesmaximal, characteristic, complemented
19#35114C212yesmaximal, complemented
20#35109C212yesmaximal, complemented
21#35104C211yesmaximal, characteristic, complemented
22#34963C211yesmaximal, characteristic, complemented
23#34918C212yesmaximal, complemented
24#34889C212yesmaximal, complemented
25C2×#2544C211yesmaximal, characteristic, complemented
26#34302C214yesmaximal, complemented
27#34240C211yesmaximal, characteristic, complemented
28#34126C211yesmaximal, characteristic, complemented
29C4×#520C211yesmaximal, characteristic, complemented
30C2×#546C2214yes—
31C2×#532C2212yes—
32C22×#127C2211yescharacteristic
33C2×#529C2212yescomplemented
34C22×#124C2211yescharacteristic
35C22×#124C2211yescharacteristic
36C2×#520C2212yes—
37C2×C4×#41C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39#2863C2212yescomplemented
40#2861C2212yescomplemented
41#2860C2212yescomplemented
42#2858C2212yes—
43#2857C2212yes—
44#2856C2212yes—
45#2855C2212yescomplemented
46#2854C2212yescomplemented
47#2851C2212yes—
48#2850C2212yescomplemented
49#2850C2212yescomplemented
50#2850C2212yescomplemented
51#2651C2214yescomplemented
52#2651C2214yescomplemented
53#2635C2214yescomplemented
54#2632C2214yescomplemented
55#2632C2212yescomplemented
56#2631C2212yescomplemented
57#2627C2214yes—
58#2610C2214yescomplemented
59#2610C2214yescomplemented
60#2607C2214yescomplemented
61#2606C2212yescomplemented
62#2606C2212yescomplemented
63#2605C2212yescomplemented
64#2605C2212yescomplemented
65#2605C2214yescomplemented
66#2598C2214yescomplemented
67#2598C2214yescomplemented
68#2597C2214yescomplemented
69#2595C2214yescomplemented
70#2595C2214yescomplemented
71#2595C2214yescomplemented
72#2595C2214yescomplemented
73#2593C2214yescomplemented
74#2593C2214yescomplemented
75#2592C2212yescomplemented
76#2591C2214yescomplemented
77#2589C2214yescomplemented
78#2588C2214yescomplemented
79#2580C2211yescharacteristic, complemented
80#2580C2211yescharacteristic, complemented
81#2570C2212yescomplemented
82#2570C2212yescomplemented
83#2569C2214yes—
84#2564C2214yes—
85#2559C2214yescomplemented
86#2557C2214yescomplemented
87#2557C2214yescomplemented
88#2550C2212yescomplemented
89#2550C2212yescomplemented
90#2544C2212yes—
91#2544C2214yes—
92#2544C2212yes—
93#2544C2212yes—
94#2544C2212yes—
95#2544C2212yes—
96#2544C2212yes—
97#2544C2212yes—
98#2544C2212yes—
99#2540C2212yescomplemented
100#2535C2211yescharacteristic, complemented
101#2535C2211yescharacteristic, complemented
102#2531C2214yescomplemented
103#2526C2214yescomplemented
104#2521C2214yescomplemented
105#2521C2214yescomplemented
106#2521C2214yescomplemented
107#2521C2214yescomplemented
108#2516C2214yescomplemented
109#2516C2214yescomplemented
110#2516C2214yescomplemented
111#2516C2214yescomplemented
112#2513C2212yescomplemented
113#2511C2212yescomplemented
114#2492C2212yescomplemented
115#2490C2212yescomplemented
116#2487C2212yes—
117#2482C2212yes—
118#2482C2212yes—
119#2480C2214yes—
120#2480C2214yes—
121#2479C2214yescomplemented
122#2476C2214yescomplemented
123#2476C2214yescomplemented
124#2476C2214yescomplemented
125#2474C2214yescomplemented
126#2474C2214yescomplemented
127#2474C2214yescomplemented
128#2474C2214yescomplemented
129#2471C2214yescomplemented
130#2471C2214yescomplemented
131#2468C2214yescomplemented
132#2468C2214yescomplemented
133#2467C2214yescomplemented
134#2467C2214yescomplemented
135#2464C2214yescomplemented
136#2464C2214yescomplemented
137#2459C2214yescomplemented
138#2459C2214yescomplemented
139#2458C2214yescomplemented
140#2458C2214yescomplemented
141#2454C2212yescomplemented
142#2451C2212yescomplemented
143#2448C2212yescomplemented
144#2447C2212yescomplemented
145#2445C2212yes—
146#2445C2212yes—
147#2445C2214yes—
148#2444C2214yescomplemented
149#2443C2214yescomplemented
150#2443C2214yescomplemented
151#2435C2214yes—
152#2431C2214yes—
153#2428C2212yes—
154#2428C2212yes—
155#2428C2214yes—
156#2427C2212yescomplemented
157#2426C2212yescomplemented
158#2425C2214yescomplemented
159#2423C2212yescomplemented
160#2420C2212yescomplemented
161#2418C2214yes—
162#2418C2214yes—
163#2409C2212yes—
164#2408C2212yes—
165#2408C2214yes—
166#2408C2212yes—
167#2406C2214yescomplemented
168#2404C2212yes—
169#2404C2212yes—
170#2398C2214yescomplemented
171#2398C2212yescomplemented
172#2397C2212yescomplemented
173#2395C2214yescomplemented
174#2395C2214yescomplemented
175#2388C2214yescomplemented
176C2×#394C2214yes—
177#2374C2214yescomplemented
178#2372C2214yescomplemented
179#2372C2212yescomplemented
180#2372C2212yescomplemented
181#2368C2214yes—
182#2367C2212yescomplemented
183#2367C2212yescomplemented
184#2364C2214yescomplemented
185#2364C2214yescomplemented
186#2363C2214yescomplemented
187#2359C2214yescomplemented
188#2358C2214yes—
189#2358C2214yes—
190#2357C2211yescharacteristic, complemented
191#2357C2211yescharacteristic, complemented
192#2353C2214yes—
193#2353C2212yescomplemented
194#2353C2212yescomplemented
195#2353C2214yescomplemented
196#2349C2211yescharacteristic, complemented
197#2349C2211yescharacteristic, complemented
198#2345C2212yes—
199#2342C2214yes—
200#2342C2214yes—
201#2342C2214yes—
202#2342C2214yes—
203Q8×C22⋊C4C2212yes—
204#2339C2214yescomplemented
205D4×C22⋊C4C2212yes—
206D4×C22⋊C4C2214yes—
207D4×C22⋊C4C2212yes—
208#2337C2214yescomplemented
209#2337C2214yescomplemented
210#2335C2214yescomplemented
211#2333C2214yescomplemented
212#2333C2214yescomplemented
213#2329C2214yes—
214#2321C2214yes—
215#2312C2212yes—
216C4×#127C2212yes—
217C4×#124C2212yescomplemented
218C4×#124C2212yescomplemented
219C4×#124C2212yescomplemented
220C4×C22⋊Q8C2212yescomplemented
221C4×#123C2214yescomplemented
222C4×#121C2212yescomplemented
223C4×#121C2212yescomplemented
224C4×#121C2214yescomplemented
225C4×#121C2212yescomplemented
226C4×#120C2214yes—
227#2297C2214yescomplemented
228#2295C2212yescomplemented
229C2×#391C2211yescharacteristic
230#2293C2212yescomplemented
231#2293C2212yescomplemented
232C2×#390C2211yescharacteristic
233#2290C2214yescomplemented
234#2290C2214yescomplemented
235C2×#386C2214yes—
236#2283C2211yescharacteristic
237#2283C2211yescharacteristic
238#2280C2212yes—
239#2276C2211yescharacteristic, complemented
240#2276C2211yescharacteristic, complemented
241#2275C2212yes—
242#2275C2212yes—
243#2275C2211yescharacteristic, complemented
244#2275C2211yescharacteristic, complemented
245#2274C2212yes—
246#2274C2212yescomplemented
247#2274C2212yescomplemented
248#2273C2212yes—
249C42×Q8C2212yescomplemented
250C42×D4C2212yes—
251C42×D4C2212yes—
252C42×D4C2212yescomplemented
253C42×D4C2212yescomplemented
254C4×#117C2211yescharacteristic
255C4×#117C2212yescomplemented
256C2×C4×C4⋊C4C2211yescharacteristic
257C2×C4×C4⋊C4C2212yescomplemented
258C2×C4×C22⋊C4C2212yes—
259C22×#41C2311yescharacteristic
260C22×#41C2314yes—
261C23×Q8C2311yescharacteristic
262C23×D4C2311yescharacteristic
263C23×D4C2311yescharacteristic
264C23×D4C2314yes—
265C24×C4C2312yes—
266#546—232no—
267#532—48no—
268C2×C4⋊Q8C2312yes—
269C2×#127—44no—
270C2×#127C2312yes—
271C2×#127C2312yes—
272C2×#127C2312yes—
273C2×#127C2312yes—
274#529—48no—
275C2×#126C2314yes—
276C2×#126C2314yes—
277C2×#125C2312yes—
278C2×#124—28no—
279C2×#124—44no—
280C2×#124C2312yes—
281C2×#124C2312yes—
282C2×#124C2314yes—
283C2×#124C2312yes—
284C2×#124C2312yes—
285C2×#124C2312yes—
286C2×#124C2312yes—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×#121C2314yes—
299C2×#121C2314yes—
300C2×#121C2314yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2314yes—
306C2×#121C2314yes—
307C2×#120C2314yes—
308C2×#120C2314yes—
309#520—216no—
310C4×#41—28no—
311C2×C4×Q8C2311yescharacteristic
312C2×C4×Q8C2311yescharacteristic
313C2×C4×Q8C2312yes—
314C2×C4×Q8C2312yes—
315C2×C4×Q8C2312yes—
316C2×C4×Q8C2312yes—
317C2×C4×D4—28no—
318C2×C4×D4C2314yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2312yes—
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2312yes—
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2312yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2314yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2312yes—
345C2×#117C2312yes—
346C2×#117C2312yes—
347C2×#117C2312yes—
348C2×#117C2311yescharacteristic
349C2×#117C2312yes—
350C2×#117C2314yes—
351C2×#117C2314yes—
352C2×#117C2314yes—
353C22×C4⋊C4C2312yes—
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2312yes—
356C22×C4⋊C4C2312yes—
357C22×C22⋊C4C2312yes—
358C22×C22⋊C4C2314yes—
359C22×C22⋊C4C2314yes—
360C22×C22⋊C4C2312yes—
361C22×C22⋊C4C2312yes—
362C22×C22⋊C4C2314yes—
363C22×C22⋊C4C2314yes—
364C22×C42C2312yes—
365C22×C42C2312yes—
366C22×C42C2311yescharacteristic
367C22×C42C2312yes—
368C22×C42C2311yescharacteristic
369C22×C42C2314yes—
370C22×C42C2311yescharacteristic
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#399C2314yes—
378#399C2312yes—
379#399C2312yes—
380#399C2314yes—
381#399C2314yes—
382#399C2314yes—
383#399C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2312yes—
400#397C2312yes—
401#396C2314yes—
402#396C2314yes—
403#395C2314yes—
404#395C2314yes—
405#395C2314yes—
406#395C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#393C2314yes—
428#393C2312yes—
429#393C2312yes—
430#393C2314yes—
431#393C2314yes—
432#392C2314yes—
433#392C2314yes—
434#392C2314yes—
435#392C2314yes—
436#392C2314yes—
437#392C2312yes—
438#392C2312yes—
439#391C2314yes—
440#391C2314yes—
441#391C2312yes—
442#391C2314yes—
443#391C2314yes—
444#391C2312yes—
445#391C2312yes—
446#391C2314yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2314yes—
451#391C2312yes—
452#391C2314yes—
453#391C2312yes—
454#390C2312yes—
455#390C2312yes—
456#390C2314yes—
457#390C2314yes—
458#390C2314yes—
459#390C2314yes—
460#390C2312yes—
461#390C2314yes—
462#390C2314yes—
463#390C2314yes—
464#390C2312yes—
465#390C2312yes—
466#390C2312yes—
467#390C2312yes—
468#390C2312yes—
469#390C2312yes—
470#390C2314yes—
471#390C2312yes—
472#390C2314yes—
473#390C2314yes—
474#390C2312yes—
475#390C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#389C2312yes—
480#389C2312yes—
481#389C2312yes—
482#389C2314yes—
483#389C2314yes—
484#389C2314yes—
485#389C2312yes—
486#389C2312yes—
487#388C2314yes—
488#388C2314yes—
489#388C2314yes—
490#388C2314yes—
491#388C2314yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#388C2314yes—
496#388C2314yes—
497#388C2314yes—
498#388C2314yes—
499#388C2314yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#387C2314yes—
532#387C2314yes—
533#387C2314yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2314yes—
541#387C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2314yes—
555#386C2314yes—
556#386C2314yes—
557#386C2314yes—
558#386C2314yes—
559#386C2314yes—
560#386C2314yes—
561#386C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#385C2314yes—
584#385C2314yes—
585#385C2314yes—
586#385C2314yes—
587#385C2314yes—
588#385C2314yes—
589#385C2314yes—
590#385C2314yes—
591#385C2314yes—
592#385C2314yes—
593#385C2314yes—
594#385C2314yes—
595#385C2314yes—
596#385C2314yes—
597#384C2312yes—
598#383C2312yes—
599#383C2314yes—
600#383C2312yes—
601#382C2311yescharacteristic
602#382C2311yescharacteristic
603#382C2312yes—
604#382C2311yescharacteristic
605#382C2311yescharacteristic
606#381C2314yes—
607#381C2314yes—
608#381C2314yes—
609#381C2312yes—
610#381C2312yes—
611#381C2312yes—
612#381C2312yes—
613#380C2314yes—
614#380C2314yes—
615#380C2314yes—
616#380C2314yes—
617#380C2312yes—
618#380C2312yes—
619#380C2314yes—
620#380C2312yes—
621#380C2312yes—
622#380C2312yes—
623#380C2312yes—
624#379C2314yes—
625#379C2314yes—
626#379C2314yes—
627#379C2314yes—
628C4×C4⋊C4C2312yes—
629C4×C4⋊C4C2312yes—
630C4×C4⋊C4C2312yes—
631C4×C4⋊C4C2312yes—
632C4×C4⋊C4C2312yes—
633C4×C4⋊C4C2314yes—
634C4×C4⋊C4C2314yes—
635C4×C4⋊C4C2312yes—
636C4×C4⋊C4C2312yes—
637C4×C4⋊C4C2312yes—
638C4×C4⋊C4C2312yes—
639C4×C4⋊C4C2312yes—
640C4×C4⋊C4C2312yes—
641C4×C4⋊C4C2312yes—
642C4×C4⋊C4C2312yes—
643C4×C4⋊C4C2312yes—
644C4×C4⋊C4C2312yes—
645C4×C4⋊C4C2312yes—
646C4×C4⋊C4C2312yes—
647C4×C4⋊C4C2311yescharacteristic
648C4×C4⋊C4C2311yescharacteristic
649C4×C4⋊C4C2311yescharacteristic
650C4×C4⋊C4C2311yescharacteristic
651C4×C4⋊C4C2312yes—
652C4×C4⋊C4C2311yescharacteristic
653C4×C4⋊C4C2311yescharacteristic
654C4×C4⋊C4C2312yes—
655C4×C4⋊C4C2312yes—
656C4×C4⋊C4C2312yes—
657C4×C4⋊C4C2312yes—
658C4×C4⋊C4C2312yes—
659C4×C4⋊C4C2312yes—
660C4×C4⋊C4C2312yes—
661C4×C4⋊C4C2312yes—
662C4×C4⋊C4C2312yes—
663C4×C22⋊C4C2311yescharacteristic
664C4×C22⋊C4C2312yes—
665C4×C22⋊C4C2312yes—
666C4×C22⋊C4C2312yes—
667C4×C22⋊C4C2314yes—
668C4×C22⋊C4C2314yes—
669C4×C22⋊C4C2312yes—
670C4×C22⋊C4C2312yes—
671C4×C22⋊C4C2312yes—
672C4×C22⋊C4C2314yes—
673C4×C22⋊C4C2314yes—
674C4×C22⋊C4C2312yes—
675C4×C22⋊C4C2312yes—
676C4×C22⋊C4C2314yes—
677C4×C22⋊C4C2314yes—
678C4×C22⋊C4C2314yes—
679C4×C22⋊C4C2314yes—
680C4×C22⋊C4C2314yes—
681C4×C22⋊C4C2312yes—
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2312yes—
688C4×C22⋊C4C2312yes—
689C4×C22⋊C4C2312yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2311yescharacteristic
705#376C2312yes—
706#376C2312yes—
707#376C2314yes—
708#376C2311yescharacteristic
709#376C2311yescharacteristic
710#376C2312yes—
711#376C2312yes—
712C2×#95C2314yes—
713C2×#95C2312yes—
714C2×#95C2312yes—
715C2×#95C2312yes—
716C2×#95C2312yes—
717C2×#95C2312yes—
718C43C2312yes—
719C43C2312yes—
720C43C2312yes—
721C25C2412yes—
722C25C2412yes—
723C2×#41—28no—
724C2×#41—24no—
725C2×#41—216no—
726C2×#41—48no—
727C2×#41—84no—
728C22×Q8—24no—
729C22×Q8—42no—
730C22×Q8—42no—
731C22×Q8C2411yescharacteristic
732C22×Q8C2412yes—
733C22×Q8C2414yes—
734C22×Q8C2412yes—
735C22×D4—24no—
736C22×D4—24no—
737C22×D4—24no—
738C22×D4—216no—
739C22×D4—42no—
740C22×D4—42no—
741C22×D4—42no—
742C22×D4—48no—
743C22×D4—84no—
744C22×D4C2411yescharacteristic
745C22×D4C2411yescharacteristic
746C22×D4C2412yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2412yes—
752C22×D4C2411yescharacteristic
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2412yes—
759C23×C4—28no—
760C23×C4—84no—
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2414yes—
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2412yes—
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2411yescharacteristic
781C23×C4C2412yes—
782C23×C4C2412yes—
783C4⋊Q8—44no—
784#127—28no—
785#127—44no—
786#127—44no—
787#127—44no—
788#126—48no—
789#126—84no—
790#125—44no—
791#124—28no—
792#124—28no—
793#124—28no—
794#124—28no—
795#124—28no—
796#124—216no—
797#124—44no—
798#124—44no—
799#124—44no—
800#124—48no—
801#124—84no—
802#123—216no—
803#123—216no—
804#123—48no—
805#123—84no—
806C22⋊Q8—216no—
807C22⋊Q8—44no—
808C22⋊Q8—44no—
809#121—28no—
810#121—216no—
811#121—216no—
812#121—216no—
813#121—48no—
814#121—44no—
815#121—44no—
816#121—44no—
817#121—84no—
818#120—216no—
819#120—216no—
820C4×Q8—28no—
821C4×Q8—24no—
822C4×Q8—24no—
823C4×Q8—28no—
824C4×Q8—44no—
825C4×Q8—44no—
826C4×D4—28no—
827C4×D4—28no—
828C4×D4—28no—
829C4×D4—28no—
830C4×D4—28no—
831C4×D4—28no—
832C4×D4—28no—
833C4×D4—28no—
834C4×D4—24no—
835C4×D4—24no—
836C4×D4—28no—
837C4×D4—24no—
838C4×D4—24no—
839C4×D4—28no—
840C4×D4—24no—
841C4×D4—24no—
842C4×D4—216no—
843C4×D4—44no—
844C4×D4—44no—
845C4×D4—44no—
846C4×D4—48no—
847C4×D4—48no—
848C4×D4—84no—
849C4×D4—84no—
850C4×D4—84no—
851C4×D4—84no—
852C4×D4#41116yescomplemented
853#117—24no—
854#117—28no—
855#117—28no—
856#117—28no—
857#117—28no—
858#117—48no—
859#117—84no—
860#117—84no—
861C2×C4⋊C4—24no—
862C2×C4⋊C4—28no—
863C2×C4⋊C4—28no—
864C2×C4⋊C4—28no—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C22⋊C4—28no—
904C2×C22⋊C4—28no—
905C2×C22⋊C4—28no—
906C2×C22⋊C4—216no—
907C2×C22⋊C4—216no—
908C2×C22⋊C4—48no—
909C2×C22⋊C4—84no—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C42—28no—
966C2×C42—42no—
967C2×C42—44no—
968C2×C42—42no—
969C2×C42—44no—
970C2×C42—84no—
971C2×C42#4118yescomplemented
972C2×C42C2412yes—
973C2×C42C2412yes—
974C2×C42C2412yes—
975C2×C42C2412yes—
976C2×C42C2412yes—
977C2×C42C2412yes—
978C2×C42C2412yes—
979C2×C42C2412yes—
980C2×C42C2412yes—
981C2×C42C2412yes—
982C2×C42C2412yes—
983C2×C42C2412yes—
984C2×C42C2412yes—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2414yes—
988C2×C42C2414yes—
989C2×C42C2414yes—
990C2×C42C2412yes—
991C2×C42C2414yes—
992C2×C42C2412yes—
993C2×C42C2414yes—
994C2×C42C2414yes—
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2412yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009#95C2411yescharacteristic
1010#95C2411yescharacteristic
1011#95C2411yescharacteristic
1012#95C2412yes—
1013#95C2412yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2411yescharacteristic
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065C24—24no—
1066C24—28no—
1067C24—24no—
1068C24—24no—
1069C24—28no—
1070C24—44no—
1071C24—42no—
1072C24—44no—
1073C24—42no—
1074C24—42no—
1075C24C2514yes—
1076C24C2512yes—
1077C24C2512yes—
1078C24C2512yes—
1079C24C2511yescharacteristic
1080#41—232no—
1081#41—832no—
1082C2×Q8—24no—
1083C2×Q8—22no—
1084C2×Q8—24no—
1085C2×Q8—28no—
1086C2×Q8—24no—
1087C2×Q8—24no—
1088C2×Q8—24no—
1089C2×Q8—42no—
1090C2×Q8—44no—
1091C2×Q8—44no—
1092C2×Q8—42no—
1093C2×Q8—88no—
1094C2×D4—24no—
1095C2×D4—24no—
1096C2×D4—24no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—28no—
1100C2×D4—24no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—24no—
1108C2×D4—22no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—24no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—24no—
1119C2×D4—22no—
1120C2×D4—416no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—42no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—88no—
1138C2×D4—832no—
1139C2×D4C2×#4118yes—
1140C2×D4H(5,𝔽2)14yes—
1141C22×C4—24no—
1142C22×C4—24no—
1143C22×C4—24no—
1144C22×C4—24no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—28no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—28no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—28no—
1160C22×C4—28no—
1161C22×C4—28no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—44no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—816no—
1196C22×C4C2×#4114yes—
1197C22×C4C2×#4114yes—
1198C22×C4C2×#4114yes—
1199C22×C4C2×#4118yes—
1200C22×C4C2×#4118yes—
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2514yes—
1204C22×C4C2514yes—
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4C2×#4118yes—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—24no—
1266C22⋊C4—24no—
1267C22⋊C4—24no—
1268C22⋊C4—28no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—28no—
1272C22⋊C4—24no—
1273C22⋊C4—24no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—28no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—24no—
1285C22⋊C4—24no—
1286C22⋊C4—24no—
1287C22⋊C4—24no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4C2×#4118yes—
1317C22⋊C4C2×#4118yes—
1318C42—24no—
1319C42—24no—
1320C42—24no—
1321C42—24no—
1322C42—24no—
1323C42—24no—
1324C42—24no—
1325C42—24no—
1326C42—24no—
1327C42—24no—
1328C42—24no—
1329C42—24no—
1330C42—42no—
1331C42—42no—
1332C42—42no—
1333C42—41no—
1334C42—41no—
1335C42—42no—
1336C42—41no—
1337C42—41no—
1338C42—42no—
1339C42—44no—
1340C42—44no—
1341C42—44no—
1342C42—44no—
1343C42—42no—
1344C42—42no—
1345C42—42no—
1346C42—44no—
1347C42—44no—
1348C42—42no—
1349C42—42no—
1350C42C2×#4114yes—
1351C42C2×#4114yes—
1352C42C2×#4114yes—
1353C42C2×#4114yes—
1354C42C2×#4118yes—
1355C23—21no—
1356C23—21no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—24no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—24no—
1368C23—24no—
1369C23—24no—
1370C23—24no—
1371C23—22no—
1372C23—24no—
1373C23—22no—
1374C23—24no—
1375C23—24no—
1376C23—22no—
1377C23—24no—
1378C23—24no—
1379C23—24no—
1380C23—48no—
1381C23—416no—
1382C23—48no—
1383C23—48no—
1384C23—84no—
1385C23—88no—
1386C23—88no—
1387C23—84no—
1388C23—88no—
1389C23—84no—
1390C23C22×#4114yes—
1391C23C22×#4114yes—
1392C23C22×#4112yes—
1393C23C2×H(5,𝔽2)14yes—
1394C23C2611yescharacteristic
1395Q8—28no—
1396Q8—48no—
1397Q8—84no—
1398Q8—88no—
1399D4—28no—
1400D4—216no—
1401D4—28no—
1402D4—48no—
1403D4—416no—
1404D4—416no—
1405D4—416no—
1406D4—44no—
1407D4—48no—
1408D4—88no—
1409D4—88no—
1410D4—84no—
1411D4—88no—
1412D4—88no—
1413D4—88no—
1414C2×C4—216no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—28no—
1432C2×C4—28no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—24no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—44no—
1471C2×C4—48no—
1472C2×C4—48no—
1473C2×C4—416no—
1474C2×C4—48no—
1475C2×C4—48no—
1476C2×C4—48no—
1477C2×C4—84no—
1478C2×C4—84no—
1479C2×C4—88no—
1480C2×C4—88no—
1481C2×C4—84no—
1482C2×C4—84no—
1483C2×C4—84no—
1484C2×C4—88no—
1485C2×C4—84no—
1486C2×C4—84no—
1487C2×C4—84no—
1488C2×C4—84no—
1489C2×C4C22×#4112yes—
1490C2×C4C22×#4112yes—
1491C2×C4C22×#4114yes—
1492C2×C4C22×#4114yes—
1493C2×C4C22×#4114yes—
1494C2×C4C22×#4114yes—
1495C2×C4C22×#4112yes—
1496C2×C4C22×#4112yes—
1497C2×C4C22×#4112yes—
1498C2×C4C22×#4114yes—
1499C2×C4C22×#4112yes—
1500C2×C4C2×H(5,𝔽2)12yes—
1501C2×C4#58512yes—
1502C22—24no—
1503C22—24no—
1504C22—22no—
1505C22—22no—
1506C22—24no—
1507C22—28no—
1508C22—24no—
1509C22—24no—
1510C22—24no—
1511C22—42no—
1512C22—44no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—44no—
1519C22—44no—
1520C22—44no—
1521C22—44no—
1522C22—44no—
1523C22—44no—
1524C22—42no—
1525C22—44no—
1526C22—42no—
1527C22—44no—
1528C22—42no—
1529C22—44no—
1530C22—816no—
1531C22—168no—
1532C22#344414yes—
1533C22C23×#4112yes—
1534C22C23×#4111yescharacteristic
1535C22C22×H(5,𝔽2)11yescharacteristic
1536C22C2×#58511yescharacteristic
1537C22H(7,𝔽2)12yes—
1538C4—24no—
1539C4—24no—
1540C4—24no—
1541C4—24no—
1542C4—22no—
1543C4—22no—
1544C4—22no—
1545C4—22no—
1546C4—24no—
1547C4—22no—
1548C4—44no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—44no—
1553C4—42no—
1554C4—44no—
1555C4—44no—
1556C4—42no—
1557C4—44no—
1558C4—42no—
1559C4—42no—
1560C4—42no—
1561C4#349414yes—
1562C2—24no—
1563C2—44no—
1564C2—44no—
1565C2—82no—
1566C2—84no—
1567C2C2×#344411yescharacteristic
1568C2C2×#349411yescharacteristic
1569C2#6285511yescharacteristic
1570C2#6298312yes—
1571C2#6301012yes—
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. #36606C2semidirect
2. #36502C2semidirect
3. #36373C2semidirect
4. #36291C2semidirect
5. #36277C2semidirect
6. #36139C2semidirect
7. #36121C2semidirect
8. #36111C2semidirect
9. #36084C2semidirect
10. #35992C2semidirect
11. #35980C2semidirect
12. #35731C2semidirect
13. #35729C2semidirect
14. #35684C2semidirect
15. #35441C2semidirect
16. #35423C2semidirect
17. #35375C2semidirect
18. #35129C2semidirect
19. #35114C2semidirect
20. #35109C2semidirect
21. #35104C2semidirect
22. #34963C2semidirect
23. #34918C2semidirect
24. #34889C2semidirect
25. C2×#2544C2semidirect
26. #34302C2semidirect
27. #34240C2semidirect
28. #34126C2semidirect
29. C4×#520C2semidirect
33. C2×#529C22semidirect
39. #2863C22semidirect
40. #2861C22semidirect
41. #2860C22semidirect
45. #2855C22semidirect
46. #2854C22semidirect
48. #2850C22semidirect
49. #2850C22semidirect
50. #2850C22semidirect
51. #2651C22semidirect
52. #2651C22semidirect
53. #2635C22semidirect
54. #2632C22semidirect
55. #2632C22semidirect
56. #2631C22semidirect
58. #2610C22semidirect
59. #2610C22semidirect
60. #2607C22semidirect
61. #2606C22semidirect
62. #2606C22semidirect
63. #2605C22semidirect
64. #2605C22semidirect
65. #2605C22semidirect
66. #2598C22semidirect
67. #2598C22semidirect
68. #2597C22semidirect
69. #2595C22semidirect
70. #2595C22semidirect
71. #2595C22semidirect
72. #2595C22semidirect
73. #2593C22semidirect
74. #2593C22semidirect
75. #2592C22semidirect
76. #2591C22semidirect
77. #2589C22semidirect
78. #2588C22semidirect
79. #2580C22semidirect
80. #2580C22semidirect
81. #2570C22semidirect
82. #2570C22semidirect
85. #2559C22semidirect
86. #2557C22semidirect
87. #2557C22semidirect
88. #2550C22semidirect
89. #2550C22semidirect
99. #2540C22semidirect
100. #2535C22semidirect
101. #2535C22semidirect
102. #2531C22semidirect
103. #2526C22semidirect
104. #2521C22semidirect
105. #2521C22semidirect
106. #2521C22semidirect
107. #2521C22semidirect
108. #2516C22semidirect
109. #2516C22semidirect
110. #2516C22semidirect
111. #2516C22semidirect
112. #2513C22semidirect
113. #2511C22semidirect
114. #2492C22semidirect
115. #2490C22semidirect
121. #2479C22semidirect
122. #2476C22semidirect
123. #2476C22semidirect
124. #2476C22semidirect
125. #2474C22semidirect
126. #2474C22semidirect
127. #2474C22semidirect
128. #2474C22semidirect
129. #2471C22semidirect
130. #2471C22semidirect
131. #2468C22semidirect
132. #2468C22semidirect
133. #2467C22semidirect
134. #2467C22semidirect
135. #2464C22semidirect
136. #2464C22semidirect
137. #2459C22semidirect
138. #2459C22semidirect
139. #2458C22semidirect
140. #2458C22semidirect
141. #2454C22semidirect
142. #2451C22semidirect
143. #2448C22semidirect
144. #2447C22semidirect
148. #2444C22semidirect
149. #2443C22semidirect
150. #2443C22semidirect
156. #2427C22semidirect
157. #2426C22semidirect
158. #2425C22semidirect
159. #2423C22semidirect
160. #2420C22semidirect
167. #2406C22semidirect
170. #2398C22semidirect
171. #2398C22semidirect
172. #2397C22semidirect
173. #2395C22semidirect
174. #2395C22semidirect
175. #2388C22semidirect
177. #2374C22semidirect
178. #2372C22semidirect
179. #2372C22semidirect
180. #2372C22semidirect
182. #2367C22semidirect
183. #2367C22semidirect
184. #2364C22semidirect
185. #2364C22semidirect
186. #2363C22semidirect
187. #2359C22semidirect
190. #2357C22semidirect
191. #2357C22semidirect
193. #2353C22semidirect
194. #2353C22semidirect
195. #2353C22semidirect
196. #2349C22semidirect
197. #2349C22semidirect
204. #2339C22semidirect
208. #2337C22semidirect
209. #2337C22semidirect
210. #2335C22semidirect
211. #2333C22semidirect
212. #2333C22semidirect
217. C4×#124C22semidirect
218. C4×#124C22semidirect
219. C4×#124C22semidirect
220. C4×C22⋊Q8C22semidirect
221. C4×#123C22semidirect
222. C4×#121C22semidirect
223. C4×#121C22semidirect
224. C4×#121C22semidirect
225. C4×#121C22semidirect
227. #2297C22semidirect
228. #2295C22semidirect
230. #2293C22semidirect
231. #2293C22semidirect
233. #2290C22semidirect
234. #2290C22semidirect
239. #2276C22semidirect
240. #2276C22semidirect
243. #2275C22semidirect
244. #2275C22semidirect
246. #2274C22semidirect
247. #2274C22semidirect
249. C42×Q8C22semidirect
252. C42×D4C22semidirect
253. C42×D4C22semidirect
255. C4×#117C22semidirect
257. C2×C4×C4⋊C4C22semidirect
852. C4×D4#41semidirect
971. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#366062
#365022
#363732
#362912
#362772
#361392
#361212
#361112
#360842
#359922
#359802
#357312
#357292
#356842
#354412
#354232
#353752
#351292
#351142
#351092
#351042
#349632
#349182
#348892
C2×#25442
#343022
#342402
#341262
C4×#5202