Finite Group Databasebeta

← #7626977

Subgroups — #7626977

Order 512.

6726 conjugacy classes of subgroups.

The subgroup lattice has 1479 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3501C211yesmaximal, characteristic
2#34489C212yesmaximal, complemented
3#34489C212yesmaximal, complemented
4#34487C212yesmaximal, complemented
5#34486C214yesmaximal, complemented
6#34486C214yesmaximal, complemented
7#34475C214yesmaximal, complemented
8#34435C212yesmaximal, complemented
9#34434C212yesmaximal, complemented
10#34433C214yesmaximal, complemented
11#34433C214yesmaximal, complemented
12#34403C211yesmaximal, characteristic, complemented
13#34375C211yesmaximal, characteristic, complemented
14#34370C212yesmaximal, complemented
15#34359C212yesmaximal, complemented
16#34334C212yesmaximal, complemented
17#34333C212yesmaximal, complemented
18#34333C212yesmaximal, complemented
19#34317C212yesmaximal, complemented
20#34299C214yesmaximal, complemented
21#34261C212yesmaximal
22#34261C212yesmaximal
23#34245C212yesmaximal, complemented
24#34231C211yesmaximal, characteristic, complemented
25#34190C211yesmaximal, characteristic
26C4×#554C212yesmaximal, complemented
27#34126C211yesmaximal, characteristic
28#34085C211yesmaximal, characteristic, complemented
29C2×#2332C212yesmaximal, complemented
30#3501C4132yescomplemented
31C2×#554C2211yescharacteristic
32C2×#554C2212yes—
33C2×#554C2212yes—
34C2×#554C2212yes—
35C2×#554C2214yes—
36C2×#554C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×D4×Q8C2212yes—
39C2×D4×Q8C2211yescharacteristic
40C2×#544C2212yes—
41C2×#543C2214yes—
42C2×#533C2211yescharacteristic
43C2×#533C2211yescharacteristic
44C22×C22⋊Q8C2212yes—
45C22×C22⋊Q8C2212yes—
46C2×#518C2212yes—
47C22×C4×D4C2211yescharacteristic
48#2382C2214yescomplemented
49#2381C2212yescomplemented
50#2381C2212yescomplemented
51#2381C2214yescomplemented
52#2378C2214yes—
53#2378C2214yes—
54#2378C2212yes—
55#2378C2212yes—
56#2378C2214yescomplemented
57#2378C2214yescomplemented
58#2378C2214yescomplemented
59#2378C2214yescomplemented
60#2378C2214yescomplemented
61#2378C2214yescomplemented
62#2371C2214yescomplemented
63#2371C2214yescomplemented
64#2370C2212yescomplemented
65#2370C2212yescomplemented
66#2370C2212yescomplemented
67#2370C2212yescomplemented
68#2370C2212yescomplemented
69#2370C2212yescomplemented
70#2369C2212yescomplemented
71#2369C2212yescomplemented
72#2369C2212yescomplemented
73#2368C2214yescomplemented
74#2368C2214yescomplemented
75#2368C2214yescomplemented
76#2368C2214yescomplemented
77#2368C2214yescomplemented
78#2368C2214yescomplemented
79#2368C2214yescomplemented
80#2368C2214yescomplemented
81#2365C2212yescomplemented
82#2365C2212yescomplemented
83#2365C2212yescomplemented
84#2365C2214yescomplemented
85#2362C2214yes—
86#2362C2214yes—
87#2362C2214yes—
88#2362C2214yescomplemented
89#2362C2214yescomplemented
90#2362C2214yescomplemented
91#2362C2214yescomplemented
92#2362C2214yescomplemented
93#2362C2214yescomplemented
94#2360C2214yescomplemented
95#2360C2214yescomplemented
96#2360C2214yescomplemented
97#2360C2214yescomplemented
98#2357C2212yes—
99#2357C2212yes—
100#2357C2212yes—
101#2357C2212yes—
102#2356C2214yescomplemented
103#2356C2214yescomplemented
104#2355C2212yescomplemented
105#2355C2212yescomplemented
106#2355C2212yescomplemented
107#2355C2212yescomplemented
108#2354C2212yes—
109#2354C2212yes—
110#2353C2214yes—
111#2353C2214yes—
112#2353C2214yes—
113#2353C2214yes—
114#2352C2214yes—
115#2352C2214yes—
116#2349C2212yes—
117#2349C2212yes—
118#2349C2212yes—
119#2349C2212yes—
120D4×C4⋊C4C2212yes—
121D4×C4⋊C4C2212yes—
122#2347C2212yes—
123#2347C2212yes—
124#2346C2212yes—
125#2346C2212yes—
126#2345C2212yes—
127#2345C2214yescomplemented
128#2345C2214yescomplemented
129#2345C2214yescomplemented
130#2344C2211yescharacteristic
131#2344C2211yescharacteristic
132#2344C2214yescomplemented
133#2344C2214yescomplemented
134#2344C2214yescomplemented
135#2342C2214yes—
136#2342C2214yes—
137#2342C2214yes—
138#2342C2212yes—
139#2342C2212yes—
140#2342C2214yes—
141#2342C2214yes—
142Q8×C22⋊C4C2214yescomplemented
143Q8×C22⋊C4C2214yescomplemented
144D4×C22⋊C4C2212yes—
145D4×C22⋊C4C2211yescharacteristic
146D4×C22⋊C4C2211yescharacteristic
147#2336C2212yescomplemented
148#2336C2212yescomplemented
149#2336C2214yescomplemented
150#2336C2214yescomplemented
151#2332C2211yescharacteristic
152#2332C2212yes—
153#2332C2212yes—
154#2332C2214yes—
155#2332C2214yes—
156#2332C2212yes—
157#2332C2211yescharacteristic
158#2332C2211yescharacteristic
159#2332C2211yescharacteristic
160#2332C2212yes—
161#2332C2212yes—
162#2332C2212yes—
163#2332C2214yes—
164#2332C2214yescomplemented
165#2332C2214yescomplemented
166#2332C2214yescomplemented
167#2332C2214yescomplemented
168#2332C2214yescomplemented
169#2332C2214yescomplemented
170#2332C2214yescomplemented
171#2332C2214yescomplemented
172#2331C2212yescomplemented
173#2331C2212yescomplemented
174#2331C2212yescomplemented
175#2331C2212yescomplemented
176#2331C2212yescomplemented
177#2331C2214yescomplemented
178#2330C2212yescomplemented
179#2330C2212yescomplemented
180#2329C2214yescomplemented
181#2329C2214yescomplemented
182#2329C2214yescomplemented
183#2329C2214yescomplemented
184#2329C2214yescomplemented
185#2329C2214yescomplemented
186#2327C2212yescomplemented
187#2327C2214yescomplemented
188#2323C2212yes—
189#2323C2212yes—
190#2323C2214yes—
191#2323C2214yes—
192#2323C2214yescomplemented
193#2323C2214yescomplemented
194#2323C2214yescomplemented
195#2323C2214yescomplemented
196#2320C2214yescomplemented
197#2320C2212yescomplemented
198#2319C2212yes—
199#2319C2212yes—
200#2319C2212yes—
201#2318C2214yes—
202#2318C2214yes—
203#2318C2214yes—
204#2314C2212yes—
205#2314C2212yes—
206#2313C2214yescomplemented
207#2313C2214yescomplemented
208#2312C2214yes—
209#2312C2214yes—
210#2310C2214yescomplemented
211C4×C4⋊Q8C2212yescomplemented
212C4×C4⋊Q8C2212yescomplemented
213C4×#125C2212yescomplemented
214C4×#125C2212yescomplemented
215C4×#125C2212yescomplemented
216C4×#125C2212yescomplemented
217C4×C22⋊Q8C2214yescomplemented
218C4×C22⋊Q8C2214yescomplemented
219C4×C22⋊Q8C2214yescomplemented
220C4×C22⋊Q8C2214yescomplemented
221C4×C22⋊Q8C2214yescomplemented
222C4×C22⋊Q8C2214yescomplemented
223#2298C2212yes—
224#2298C2212yes—
225#2295C2212yescomplemented
226#2295C2212yescomplemented
227#2295C2212yescomplemented
228C2×#391C2214yescomplemented
229#2293C2211yescharacteristic
230#2293C2212yes—
231#2293C2212yes—
232#2293C2211yescharacteristic
233#2290C2212yes—
234#2290C2212yes—
235#2290C2214yes—
236#2290C2214yes—
237C2×#388C2214yes—
238C2×#388C2214yes—
239C2×#387C2214yescomplemented
240C2×#387C2214yescomplemented
241#2283C2211yescharacteristic
242#2283C2211yescharacteristic
243#2283C2211yescharacteristic
244#2280C2212yes—
245#2280C2212yes—
246C2×#381C2212yes—
247#2276C2212yescomplemented
248#2275C2212yes—
249#2275C2212yes—
250#2275C2212yes—
251#2274C2214yescomplemented
252C42×Q8C2212yescomplemented
253C42×D4C2211yescharacteristic
254C42×D4C2212yes—
255C42×D4C2212yes—
256C42×D4C2211yescharacteristic
257C4×#117C2211yescharacteristic
258C2×C4×C4⋊C4C2214yescomplemented
259C2×C4×C22⋊C4C2212yes—
260C23×Q8C2312yes—
261C23×Q8C2312yes—
262C23×D4C2311yescharacteristic
263C24×C4C2312yes—
264#554C2×C4116yes—
265#554C2×C4132yes—
266#554C2×C4132yescomplemented
267#554C2×C4164yescomplemented
268#554C2×C4116yescomplemented
269#554C2×C4132yescomplemented
270D4×Q8C2×C4116yes—
271D4×Q8C2×C4116yescomplemented
272D4×Q8C2×C4132yescomplemented
273#544C2×C4132yescomplemented
274#543C2×C4164yescomplemented
275#533C2×C4116yescomplemented
276#533C2×C4116yescomplemented
277C2×C4⋊Q8C2312yes—
278C2×C4⋊Q8C2312yes—
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2314yes—
281C2×C4⋊Q8C2311yescharacteristic
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2311yescharacteristic
284C2×#125C2312yes—
285C2×#125C2312yes—
286C2×#125C2312yes—
287C2×#125C2312yes—
288C2×#125C2314yes—
289C2×C22⋊Q8C2×C4132yescomplemented
290C2×C22⋊Q8C2×C4132yescomplemented
291C2×C22⋊Q8C2314yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2314yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2314yes—
312#518C2×C4132yes—
313C2×C4×Q8C2312yes—
314C2×C4×Q8C2312yes—
315C2×C4×Q8C2314yes—
316C2×C4×Q8C2314yes—
317C2×C4×Q8C2314yes—
318C2×C4×Q8C2314yes—
319C2×C4×Q8C2314yes—
320C2×C4×Q8C2312yes—
321C2×C4×Q8C2312yes—
322C2×C4×Q8C2311yescharacteristic
323C2×C4×Q8C2311yescharacteristic
324C2×C4×Q8C2312yes—
325C2×C4×D4C2×C4116yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2314yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×#117C2312yes—
343C2×#117C2314yes—
344C2×#117C2314yes—
345C2×#117C2314yes—
346C2×#117C2314yes—
347C2×#117C2312yes—
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2312yes—
352C2×#117C2312yes—
353C22×C4⋊C4C2314yes—
354C22×C4⋊C4C2314yes—
355C22×C4⋊C4C2312yes—
356C22×C4⋊C4C2314yes—
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2314yes—
359C22×C4⋊C4C2312yes—
360C22×C22⋊C4C2314yes—
361C22×C22⋊C4C2312yes—
362C22×C22⋊C4C2312yes—
363C22×C22⋊C4C2314yes—
364C22×C22⋊C4C2312yes—
365C22×C22⋊C4C2314yes—
366C22×C42C2314yes—
367C22×C42C2312yes—
368C22×C42C2312yes—
369C22×C42C2314yes—
370C22×C42C2311yescharacteristic
371#391C2314yes—
372#391C2314yes—
373#391C2312yes—
374#391C2314yes—
375#391C2314yes—
376#391C2314yes—
377#391C2314yes—
378#391C2314yes—
379#391C2314yes—
380#391C2314yes—
381#391C2314yes—
382#391C2312yes—
383#391C2312yes—
384#391C2314yes—
385#391C2314yes—
386#391C2314yes—
387#391C2314yes—
388#391C2314yes—
389#391C2314yes—
390#391C2314yes—
391#391C2312yes—
392#391C2312yes—
393#391C2312yes—
394#391C2314yes—
395#391C2314yes—
396#391C2314yes—
397#391C2314yes—
398#391C2314yes—
399#391C2314yes—
400#390C2312yes—
401#390C2312yes—
402#390C2312yes—
403#390C2312yes—
404#389C2312yes—
405#389C2312yes—
406#389C2312yes—
407#389C2312yes—
408#389C2312yes—
409#389C2312yes—
410#389C2312yes—
411#389C2312yes—
412#389C2312yes—
413#389C2314yes—
414#389C2314yes—
415#389C2314yes—
416#389C2314yes—
417#389C2314yes—
418#389C2312yes—
419#389C2312yes—
420#389C2312yes—
421#389C2314yes—
422#389C2314yes—
423#389C2314yes—
424#389C2314yes—
425#389C2314yes—
426#389C2312yes—
427#389C2312yes—
428#389C2312yes—
429#389C2314yes—
430#389C2314yes—
431#389C2314yes—
432#389C2314yes—
433#389C2314yes—
434#389C2312yes—
435#389C2312yes—
436#389C2312yes—
437#388C2312yes—
438#388C2312yes—
439#388C2314yes—
440#388C2314yes—
441#388C2314yes—
442#388C2314yes—
443#388C2314yes—
444#388C2314yes—
445#388C2314yes—
446#388C2314yes—
447#388C2314yes—
448#388C2314yes—
449#388C2314yes—
450#388C2314yes—
451#388C2314yes—
452#388C2314yes—
453#388C2314yes—
454#388C2314yes—
455#388C2314yes—
456#388C2314yes—
457#388C2314yes—
458#388C2314yes—
459#388C2314yes—
460#388C2314yes—
461#388C2312yes—
462#388C2312yes—
463#388C2312yes—
464#388C2312yes—
465#388C2312yes—
466#388C2312yes—
467#388C2314yes—
468#388C2314yes—
469#388C2314yes—
470#388C2314yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#387C2314yes—
482#387C2314yes—
483#387C2314yes—
484#387C2314yes—
485#387C2314yes—
486#387C2314yes—
487#387C2314yes—
488#387C2314yes—
489#387C2312yes—
490#387C2312yes—
491#387C2314yes—
492#387C2314yes—
493#387C2314yes—
494#387C2314yes—
495#387C2314yes—
496#387C2314yes—
497#387C2314yes—
498#387C2314yes—
499#387C2314yes—
500#387C2314yes—
501#387C2314yes—
502#387C2314yes—
503#387C2314yes—
504#387C2314yes—
505#387C2314yes—
506#387C2314yes—
507#387C2312yes—
508#387C2312yes—
509#387C2314yes—
510#387C2314yes—
511#387C2314yes—
512#387C2314yes—
513#387C2314yes—
514#387C2312yes—
515#387C2314yes—
516#387C2314yes—
517#387C2312yes—
518#387C2314yes—
519#387C2312yes—
520#387C2312yes—
521#387C2314yes—
522#387C2314yes—
523#387C2314yes—
524#387C2314yes—
525#387C2314yes—
526#387C2314yes—
527#387C2312yes—
528#387C2312yes—
529#387C2312yes—
530#387C2312yes—
531#387C2314yes—
532#387C2312yes—
533#387C2312yes—
534#387C2314yes—
535#387C2314yes—
536#387C2314yes—
537#387C2314yes—
538#387C2314yes—
539#387C2314yes—
540#387C2312yes—
541#387C2314yes—
542#387C2312yes—
543#387C2312yes—
544#387C2312yes—
545#387C2314yes—
546#387C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2312yes—
554#387C2312yes—
555#386C2314yes—
556#386C2314yes—
557#386C2314yes—
558#386C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#384C2312yes—
572#384C2312yes—
573#383C2312yes—
574#383C2314yes—
575#383C2314yes—
576#383C2312yes—
577#383C2312yes—
578#382C2312yes—
579#382C2312yes—
580#382C2312yes—
581#382C2312yes—
582#382C2314yes—
583#382C2314yes—
584#382C2312yes—
585#381C2314yes—
586#381C2314yes—
587#381C2314yes—
588#381C2314yes—
589#381C2314yes—
590#381C2314yes—
591#381C2311yescharacteristic
592#381C2312yes—
593#381C2311yescharacteristic
594#381C2312yes—
595#381C2312yes—
596#381C2312yes—
597#381C2314yes—
598#380C2314yes—
599#380C2314yes—
600#380C2314yes—
601#380C2314yes—
602#380C2314yes—
603#380C2314yes—
604#380C2314yes—
605#380C2314yes—
606#380C2311yescharacteristic
607#380C2311yescharacteristic
608#380C2312yes—
609#380C2314yes—
610#380C2311yescharacteristic
611#380C2311yescharacteristic
612#380C2314yes—
613#380C2314yes—
614#380C2314yes—
615#379C2312yes—
616#379C2312yes—
617#379C2314yes—
618C4×C4⋊C4C2312yes—
619C4×C4⋊C4C2312yes—
620C4×C4⋊C4C2312yes—
621C4×C4⋊C4C2314yes—
622C4×C4⋊C4C2314yes—
623C4×C4⋊C4C2314yes—
624C4×C4⋊C4C2312yes—
625C4×C4⋊C4C2312yes—
626C4×C4⋊C4C2312yes—
627C4×C4⋊C4C2312yes—
628C4×C4⋊C4C2314yes—
629C4×C4⋊C4C2314yes—
630C4×C4⋊C4C2314yes—
631C4×C4⋊C4C2314yes—
632C4×C4⋊C4C2314yes—
633C4×C4⋊C4C2314yes—
634C4×C4⋊C4C2312yes—
635C4×C4⋊C4C2312yes—
636C4×C4⋊C4C2314yes—
637C4×C4⋊C4C2312yes—
638C4×C4⋊C4C2312yes—
639C4×C4⋊C4C2312yes—
640C4×C4⋊C4C2312yes—
641C4×C4⋊C4C2312yes—
642C4×C4⋊C4C2311yescharacteristic
643C4×C4⋊C4C2314yes—
644C4×C4⋊C4C2312yes—
645C4×C4⋊C4C2312yes—
646C4×C4⋊C4C2314yes—
647C4×C4⋊C4C2314yes—
648C4×C4⋊C4C2312yes—
649C4×C4⋊C4C2312yes—
650C4×C4⋊C4C2312yes—
651C4×C4⋊C4C2314yes—
652C4×C4⋊C4C2312yes—
653C4×C4⋊C4C2314yes—
654C4×C4⋊C4C2314yes—
655C4×C4⋊C4C2314yes—
656C4×C4⋊C4C2314yes—
657C4×C4⋊C4C2314yes—
658C4×C4⋊C4C2312yes—
659C4×C4⋊C4C2312yes—
660C4×C4⋊C4C2312yes—
661C4×C4⋊C4C2314yes—
662C4×C4⋊C4C2314yes—
663C4×C4⋊C4C2314yes—
664C4×C4⋊C4C2314yes—
665C4×C4⋊C4C2311yescharacteristic
666C4×C4⋊C4C2314yes—
667C4×C4⋊C4C2314yes—
668C4×C4⋊C4C2312yes—
669C4×C4⋊C4C2312yes—
670C4×C4⋊C4C2312yes—
671C4×C4⋊C4C2312yes—
672C4×C4⋊C4C2312yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2311yescharacteristic
675C4×C4⋊C4C2311yescharacteristic
676C4×C22⋊C4C2314yes—
677C4×C22⋊C4C2314yes—
678C4×C22⋊C4C2314yes—
679C4×C22⋊C4C2314yes—
680C4×C22⋊C4C2312yes—
681C4×C22⋊C4C2314yes—
682C4×C22⋊C4C2314yes—
683C4×C22⋊C4C2314yes—
684C4×C22⋊C4C2314yes—
685C4×C22⋊C4C2314yes—
686C4×C22⋊C4C2314yes—
687C4×C22⋊C4C2314yes—
688C4×C22⋊C4C2314yes—
689C4×C22⋊C4C2314yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2311yescharacteristic
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2311yescharacteristic
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2311yescharacteristic
704C4×C22⋊C4C2311yescharacteristic
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711#376C2312yes—
712#376C2312yes—
713#376C2312yes—
714#376C2314yes—
715#376C2312yes—
716#376C2312yes—
717#376C2314yes—
718#376C2312yes—
719C2×#95C2314yes—
720C2×#95C2314yes—
721C2×#95C2314yes—
722C2×#95C2314yes—
723C2×#95C2314yes—
724C2×#95C2314yes—
725C2×#95C2314yes—
726C43C2311yescharacteristic
727C43C2311yescharacteristic
728C43C2312yes—
729C43C2312yes—
730C25C2412yes—
731C22×Q8—82no—
732C22×Q8—82no—
733C22×Q8—82no—
734C22×Q8—82no—
735C22×Q8C22×C4116yes—
736C22×Q8C22×C4116yes—
737C22×Q8C2412yes—
738C22×Q8C2412yes—
739C22×Q8C2414yes—
740C22×Q8C2414yes—
741C22×Q8C2412yes—
742C22×Q8C2411yescharacteristic
743C22×Q8C2411yescharacteristic
744C22×D4—28no—
745C22×D4C22×C418yes—
746C22×D4C2412yes—
747C22×D4C2411yescharacteristic
748C22×D4C2411yescharacteristic
749C23×C4—82no—
750C23×C4—82no—
751C23×C4C22×C4116yes—
752C23×C4C2414yes—
753C23×C4C2411yescharacteristic
754C23×C4C2414yes—
755C23×C4C2414yes—
756C23×C4C2414yes—
757C23×C4C2411yescharacteristic
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2414yes—
761C23×C4C2414yes—
762C23×C4C2412yes—
763C23×C4C2412yes—
764C23×C4C2412yes—
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2411yescharacteristic
768C4⋊Q8C22×C418yes—
769C4⋊Q8C22×C418yes—
770C4⋊Q8C22×C418yes—
771C4⋊Q8C22×C418yes—
772C4⋊Q8C22×C4116yes—
773C4⋊Q8C22×C4116yes—
774C4⋊Q8C22×C4132yes—
775#125C22×C4116yes—
776#125C22×C4116yes—
777#125C22×C4116yes—
778#125C22×C4116yes—
779#125C22×C4132yes—
780C22⋊Q8C22×C418yes—
781C22⋊Q8C22×C4116yes—
782C22⋊Q8C22×C418yes—
783C22⋊Q8C22×C4132yes—
784C22⋊Q8C22×C4132yes—
785C22⋊Q8C22×C4116yes—
786C22⋊Q8C22×C4116yes—
787C22⋊Q8C22×C4116yes—
788C22⋊Q8C22×C4116yes—
789C22⋊Q8C22×C4132yes—
790C22⋊Q8C22×C4132yes—
791C22⋊Q8C22×C4116yes—
792C22⋊Q8C22×C4116yes—
793C22⋊Q8C22×C4132yes—
794C22⋊Q8C22×C4132yes—
795C22⋊Q8C22×C4132yes—
796C22⋊Q8C22×C4132yes—
797C22⋊Q8C22×C4132yes—
798C22⋊Q8C22×C4132yes—
799C22⋊Q8C22×C4132yes—
800C22⋊Q8C22×C4132yes—
801C4×Q8—44no—
802C4×Q8—48no—
803C4×Q8—44no—
804C4×Q8—84no—
805C4×Q8—84no—
806C4×Q8—84no—
807C4×Q8—84no—
808C4×Q8C22×C418yes—
809C4×Q8C22×C418yes—
810C4×Q8C22×C4116yes—
811C4×Q8C22×C4116yes—
812C4×Q8C22×C4116yes—
813C4×D4—28no—
814C4×D4—28no—
815C4×D4—28no—
816C4×D4—28no—
817C4×D4C22×C418yes—
818C4×D4C22×C4116yes—
819C4×D4C22×C418yes—
820C4×D4C22×C418yes—
821C4×D4C22×C4116yes—
822C4×D4C22×C418yes—
823C4×D4C22×C4116yes—
824C4×D4C22×C4132yes—
825C4×D4C22×C4116yes—
826C4×D4C22×C4116yes—
827C4×D4C22×C4132yes—
828C4×D4C22×C4116yes—
829#117—48no—
830#117—48no—
831#117—44no—
832#117—82no—
833#117—82no—
834#117—84no—
835#117—84no—
836#117—82no—
837#117—82no—
838#117C22×C4116yes—
839#117C22×C4116yes—
840C2×C4⋊C4—48no—
841C2×C4⋊C4—84no—
842C2×C4⋊C4C22×C418yes—
843C2×C4⋊C4C22×C4132yes—
844C2×C4⋊C4C22×C4116yes—
845C2×C4⋊C4C22×C4132yes—
846C2×C4⋊C4C22×C4116yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2412yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C22⋊C4—48no—
904C2×C22⋊C4—82no—
905C2×C22⋊C4—82no—
906C2×C22⋊C4C22×C4116yes—
907C2×C22⋊C4C22×C4132yes—
908C2×C22⋊C4C22×C4132yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2411yescharacteristic
916C2×C22⋊C4C2411yescharacteristic
917C2×C22⋊C4C2412yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2411yescharacteristic
924C2×C22⋊C4C2411yescharacteristic
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C42—48no—
942C2×C42—82no—
943C2×C42—84no—
944C2×C42—82no—
945C2×C42C22×C418yes—
946C2×C42C2412yes—
947C2×C42C2412yes—
948C2×C42C2414yes—
949C2×C42C2412yes—
950C2×C42C2412yes—
951C2×C42C2412yes—
952C2×C42C2412yes—
953C2×C42C2412yes—
954C2×C42C2411yescharacteristic
955C2×C42C2411yescharacteristic
956C2×C42C2412yes—
957C2×C42C2414yes—
958C2×C42C2414yes—
959C2×C42C2414yes—
960C2×C42C2414yes—
961C2×C42C2412yes—
962C2×C42C2412yes—
963C2×C42C2412yes—
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2412yes—
968C2×C42C2412yes—
969C2×C42C2414yes—
970C2×C42C2412yes—
971C2×C42C2412yes—
972C2×C42C2414yes—
973C2×C42C2414yes—
974C2×C42C2414yes—
975C2×C42C2414yes—
976C2×C42C2414yes—
977C2×C42C2414yes—
978C2×C42C2411yescharacteristic
979C2×C42C2411yescharacteristic
980C2×C42C2412yes—
981C2×C42C2414yes—
982C2×C42C2414yes—
983C2×C42C2412yes—
984C2×C42C2412yes—
985C2×C42C2414yes—
986C2×C42C2411yescharacteristic
987C2×C42C2411yescharacteristic
988C2×C42C2411yescharacteristic
989C2×C42C2411yescharacteristic
990#95C2412yes—
991#95C2412yes—
992#95C2412yes—
993#95C2412yes—
994#95C2412yes—
995#95C2412yes—
996#95C2412yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060C24—28no—
1061C24—44no—
1062C24—42no—
1063C24—42no—
1064C24C23×C418yes—
1065C24C2511yescharacteristic
1066C24C2512yes—
1067C24C2512yes—
1068C2×Q8—42no—
1069C2×Q8—44no—
1070C2×Q8—42no—
1071C2×Q8—44no—
1072C2×Q8—44no—
1073C2×Q8—44no—
1074C2×Q8—44no—
1075C2×Q8—41no—
1076C2×Q8—42no—
1077C2×Q8—41no—
1078C2×Q8—41no—
1079C2×Q8—41no—
1080C2×Q8—42no—
1081C2×Q8—816no—
1082C2×Q8—816no—
1083C2×Q8C23×C418yes—
1084C2×Q8C23×C418yes—
1085C2×Q8C23×C414yes—
1086C2×Q8C23×C414yes—
1087C2×Q8C23×C418yes—
1088C2×Q8C23×C4116yes—
1089C2×Q8C23×C4116yes—
1090C2×D4—28no—
1091C2×D4—232no—
1092C2×D4—24no—
1093C2×D4C23×C418yes—
1094C2×D4C23×C414yes—
1095C2×D4C23×C414yes—
1096C2×D42−1+418yes—
1097C22×C4—24no—
1098C22×C4—28no—
1099C22×C4—28no—
1100C22×C4—28no—
1101C22×C4—28no—
1102C22×C4—28no—
1103C22×C4—44no—
1104C22×C4—44no—
1105C22×C4—42no—
1106C22×C4—42no—
1107C22×C4—44no—
1108C22×C4—44no—
1109C22×C4—44no—
1110C22×C4—44no—
1111C22×C4—44no—
1112C22×C4—42no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—42no—
1125C22×C4—44no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—816no—
1132C22×C4C23×C414yes—
1133C22×C4C23×C414yes—
1134C22×C4C23×C414yes—
1135C22×C4C23×C4116yes—
1136C22×C4C23×C4116yes—
1137C22×C4C23×C4116yes—
1138C22×C4C23×C4116yes—
1139C22×C4C23×C418yes—
1140C22×C4C23×C418yes—
1141C22×C4C23×C418yes—
1142C22×C4C23×C418yes—
1143C22×C4C23×C418yes—
1144C22×C4C2512yes—
1145C22×C4C2512yes—
1146C22×C4C2512yes—
1147C22×C4C2514yes—
1148C22×C4C2514yes—
1149C22×C4C2514yes—
1150C22×C4C2514yes—
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2512yes—
1155C22×C4C2511yescharacteristic
1156C22×C4C2511yescharacteristic
1157C22×C4C2511yescharacteristic
1158C22×C4C2511yescharacteristic
1159C22×C4C2511yescharacteristic
1160C22×C4C2512yes—
1161C22×C4C2514yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2514yes—
1165C22×C4C2512yes—
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2512yes—
1169C22×C4C2511yescharacteristic
1170C4⋊C4—24no—
1171C4⋊C4—24no—
1172C4⋊C4—24no—
1173C4⋊C4—24no—
1174C4⋊C4—24no—
1175C4⋊C4—28no—
1176C4⋊C4—24no—
1177C4⋊C4—24no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—42no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—42no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—42no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—42no—
1195C4⋊C4—42no—
1196C4⋊C4—44no—
1197C4⋊C4—42no—
1198C4⋊C4—42no—
1199C4⋊C4—42no—
1200C4⋊C4—44no—
1201C4⋊C4—42no—
1202C4⋊C4C23×C418yes—
1203C4⋊C4C23×C4116yes—
1204C4⋊C4C23×C418yes—
1205C4⋊C4C23×C414yes—
1206C4⋊C4C23×C418yes—
1207C4⋊C4C23×C414yes—
1208C4⋊C4C23×C418yes—
1209C4⋊C4C23×C414yes—
1210C4⋊C4C23×C414yes—
1211C4⋊C4C23×C4116yes—
1212C4⋊C4C23×C4116yes—
1213C4⋊C4C23×C4116yes—
1214C4⋊C4C23×C4116yes—
1215C4⋊C4C23×C4116yes—
1216C4⋊C4C23×C4116yes—
1217C4⋊C4C23×C418yes—
1218C4⋊C4C23×C418yes—
1219C4⋊C4C23×C418yes—
1220C4⋊C4C23×C418yes—
1221C4⋊C4C23×C418yes—
1222C4⋊C4C23×C418yes—
1223C4⋊C4C23×C4116yes—
1224C4⋊C4C23×C418yes—
1225C4⋊C4C23×C418yes—
1226C22⋊C4—28no—
1227C22⋊C4—28no—
1228C22⋊C4—28no—
1229C22⋊C4—28no—
1230C22⋊C4—24no—
1231C22⋊C4—28no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—42no—
1237C22⋊C4—44no—
1238C22⋊C4—42no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—42no—
1242C22⋊C4—44no—
1243C22⋊C4—41no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—41no—
1247C22⋊C4C23×C418yes—
1248C22⋊C4C23×C4116yes—
1249C22⋊C4C23×C418yes—
1250C22⋊C4C23×C418yes—
1251C22⋊C4C23×C418yes—
1252C22⋊C4C23×C418yes—
1253C22⋊C4C23×C418yes—
1254C22⋊C4C23×C4116yes—
1255C22⋊C4C23×C4116yes—
1256C22⋊C4C23×C4116yes—
1257C22⋊C4C23×C4116yes—
1258C42—24no—
1259C42—24no—
1260C42—24no—
1261C42—24no—
1262C42—24no—
1263C42—28no—
1264C42—24no—
1265C42—24no—
1266C42—44no—
1267C42—44no—
1268C42—41no—
1269C42—42no—
1270C42—41no—
1271C42—42no—
1272C42—42no—
1273C42—44no—
1274C42—44no—
1275C42—44no—
1276C42—44no—
1277C42—44no—
1278C42—44no—
1279C42—44no—
1280C42—42no—
1281C42—41no—
1282C42—41no—
1283C42—42no—
1284C42—44no—
1285C42—44no—
1286C42—44no—
1287C42—44no—
1288C42—44no—
1289C42—44no—
1290C42—42no—
1291C42—42no—
1292C42—42no—
1293C42—44no—
1294C42—42no—
1295C42C23×C414yes—
1296C42C23×C414yes—
1297C42C23×C414yes—
1298C42C23×C414yes—
1299C42C23×C4116yes—
1300C42C23×C418yes—
1301C42C23×C418yes—
1302C23—24no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—24no—
1307C23—24no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—21no—
1312C23—21no—
1313C23—216no—
1314C23—48no—
1315C23—48no—
1316C23—88no—
1317C23—88no—
1318C23C24×C412yes—
1319C23C24×C414yes—
1320C23C24×C414yes—
1321C23C2×2−1+418yes—
1322C23C2611yescharacteristic
1323Q8—44no—
1324Q8—48no—
1325Q8—44no—
1326Q8—416no—
1327Q8—416no—
1328Q8—48no—
1329Q8—48no—
1330D4—216no—
1331D4—28no—
1332D4#519116yes—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—24no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—24no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—22no—
1347C2×C4—24no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—24no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—28no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—24no—
1367C2×C4—24no—
1368C2×C4—24no—
1369C2×C4—24no—
1370C2×C4—24no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—24no—
1377C2×C4—24no—
1378C2×C4—24no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—24no—
1383C2×C4—24no—
1384C2×C4—24no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—24no—
1391C2×C4—22no—
1392C2×C4—44no—
1393C2×C4—48no—
1394C2×C4—48no—
1395C2×C4—48no—
1396C2×C4—48no—
1397C2×C4—48no—
1398C2×C4—416no—
1399C2×C4—416no—
1400C2×C4—44no—
1401C2×C4—416no—
1402C2×C4—416no—
1403C2×C4—416no—
1404C2×C4—88no—
1405C2×C4—88no—
1406C2×C4—88no—
1407C2×C4C24×C412yes—
1408C2×C4C24×C412yes—
1409C2×C4C24×C412yes—
1410C2×C4C24×C412yes—
1411C2×C4C24×C412yes—
1412C2×C4C24×C418yes—
1413C2×C4C24×C414yes—
1414C2×C4C24×C414yes—
1415C2×C4C24×C418yes—
1416C2×C4C24×C414yes—
1417C2×C4C24×C414yes—
1418C2×C4C24×C414yes—
1419C2×C4C24×C414yes—
1420C2×C4C24×C412yes—
1421C2×C4C2×2−1+414yes—
1422C2×C4#58514yes—
1423C22—24no—
1424C22—24no—
1425C22—28no—
1426C22—28no—
1427C22—22no—
1428C22—24no—
1429C22—24no—
1430C22—22no—
1431C22—24no—
1432C22—22no—
1433C22—44no—
1434C22—42no—
1435C22—44no—
1436C22—42no—
1437C22—816no—
1438C22C2×#51918yes—
1439C22C25×C411yescharacteristic
1440C22C22×2−1+412yes—
1441C22C2×#58512yes—
1442C22H(7,𝔽2)11yescharacteristic
1443C22H(7,𝔽2)11yescharacteristic
1444C4—22no—
1445C4—24no—
1446C4—28no—
1447C4—24no—
1448C4—22no—
1449C4—22no—
1450C4—22no—
1451C4—22no—
1452C4—24no—
1453C4—24no—
1454C4—24no—
1455C4—28no—
1456C4—24no—
1457C4—24no—
1458C4—42no—
1459C4—42no—
1460C4—44no—
1461C4—44no—
1462C4—42no—
1463C4—42no—
1464C4—42no—
1465C4—44no—
1466C4—44no—
1467C4—42no—
1468C4—42no—
1469C4C2×#51914yes—
1470C2—28no—
1471C2—44no—
1472C2—42no—
1473C2C22×#51911yescharacteristic
1474C2C4×#58511yescharacteristic
1475C2#6265211yescharacteristic
1476C2#6294812yes—
1477C2#6295112yes—
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC23×D4C23
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34489C2semidirect
3. #34489C2semidirect
4. #34487C2semidirect
5. #34486C2semidirect
6. #34486C2semidirect
7. #34475C2semidirect
8. #34435C2semidirect
9. #34434C2semidirect
10. #34433C2semidirect
11. #34433C2semidirect
12. #34403C2semidirect
13. #34375C2semidirect
14. #34370C2semidirect
15. #34359C2semidirect
16. #34334C2semidirect
17. #34333C2semidirect
18. #34333C2semidirect
19. #34317C2semidirect
20. #34299C2semidirect
23. #34245C2semidirect
24. #34231C2semidirect
26. C4×#554C2semidirect
28. #34085C2semidirect
29. C2×#2332C2semidirect
30. #3501C4semidirect
48. #2382C22semidirect
49. #2381C22semidirect
50. #2381C22semidirect
51. #2381C22semidirect
56. #2378C22semidirect
57. #2378C22semidirect
58. #2378C22semidirect
59. #2378C22semidirect
60. #2378C22semidirect
61. #2378C22semidirect
62. #2371C22semidirect
63. #2371C22semidirect
64. #2370C22semidirect
65. #2370C22semidirect
66. #2370C22semidirect
67. #2370C22semidirect
68. #2370C22semidirect
69. #2370C22semidirect
70. #2369C22semidirect
71. #2369C22semidirect
72. #2369C22semidirect
73. #2368C22semidirect
74. #2368C22semidirect
75. #2368C22semidirect
76. #2368C22semidirect
77. #2368C22semidirect
78. #2368C22semidirect
79. #2368C22semidirect
80. #2368C22semidirect
81. #2365C22semidirect
82. #2365C22semidirect
83. #2365C22semidirect
84. #2365C22semidirect
88. #2362C22semidirect
89. #2362C22semidirect
90. #2362C22semidirect
91. #2362C22semidirect
92. #2362C22semidirect
93. #2362C22semidirect
94. #2360C22semidirect
95. #2360C22semidirect
96. #2360C22semidirect
97. #2360C22semidirect
102. #2356C22semidirect
103. #2356C22semidirect
104. #2355C22semidirect
105. #2355C22semidirect
106. #2355C22semidirect
107. #2355C22semidirect
127. #2345C22semidirect
128. #2345C22semidirect
129. #2345C22semidirect
132. #2344C22semidirect
133. #2344C22semidirect
134. #2344C22semidirect
142. Q8×C22⋊C4C22semidirect
143. Q8×C22⋊C4C22semidirect
147. #2336C22semidirect
148. #2336C22semidirect
149. #2336C22semidirect
150. #2336C22semidirect
164. #2332C22semidirect
165. #2332C22semidirect
166. #2332C22semidirect
167. #2332C22semidirect
168. #2332C22semidirect
169. #2332C22semidirect
170. #2332C22semidirect
171. #2332C22semidirect
172. #2331C22semidirect
173. #2331C22semidirect
174. #2331C22semidirect
175. #2331C22semidirect
176. #2331C22semidirect
177. #2331C22semidirect
178. #2330C22semidirect
179. #2330C22semidirect
180. #2329C22semidirect
181. #2329C22semidirect
182. #2329C22semidirect
183. #2329C22semidirect
184. #2329C22semidirect
185. #2329C22semidirect
186. #2327C22semidirect
187. #2327C22semidirect
192. #2323C22semidirect
193. #2323C22semidirect
194. #2323C22semidirect
195. #2323C22semidirect
196. #2320C22semidirect
197. #2320C22semidirect
206. #2313C22semidirect
207. #2313C22semidirect
210. #2310C22semidirect
211. C4×C4⋊Q8C22semidirect
212. C4×C4⋊Q8C22semidirect
213. C4×#125C22semidirect
214. C4×#125C22semidirect
215. C4×#125C22semidirect
216. C4×#125C22semidirect
217. C4×C22⋊Q8C22semidirect
218. C4×C22⋊Q8C22semidirect
219. C4×C22⋊Q8C22semidirect
220. C4×C22⋊Q8C22semidirect
221. C4×C22⋊Q8C22semidirect
222. C4×C22⋊Q8C22semidirect
225. #2295C22semidirect
226. #2295C22semidirect
227. #2295C22semidirect
228. C2×#391C22semidirect
239. C2×#387C22semidirect
240. C2×#387C22semidirect
247. #2276C22semidirect
251. #2274C22semidirect
252. C42×Q8C22semidirect
258. C2×C4×C4⋊C4C22semidirect
266. #554C2×C4semidirect
267. #554C2×C4semidirect
268. #554C2×C4semidirect
269. #554C2×C4semidirect
271. D4×Q8C2×C4semidirect
272. D4×Q8C2×C4semidirect
273. #544C2×C4semidirect
274. #543C2×C4semidirect
275. #533C2×C4semidirect
276. #533C2×C4semidirect
289. C2×C22⋊Q8C2×C4semidirect
290. C2×C22⋊Q8C2×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#35012
#344892
#344872
#344862
#344752
#344352
#344342
#344332
#344032
#343752
#343702
#343592
#343342
#343332
#343172
#342992
#342612
#342452
#342312
#341902
C4×#5542
#341262
#340852
C2×#23322