Finite Group Databasebeta

← #7625759

Subgroups — #7625759

Order 512.

7592 conjugacy classes of subgroups.

The subgroup lattice has 1854 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C211yesmaximal, characteristic
2#34321C212yesmaximal, complemented
3#34320C214yesmaximal, complemented
4#34319C212yesmaximal, complemented
5#34319C212yesmaximal, complemented
6#34316C212yesmaximal, complemented
7#34315C214yesmaximal, complemented
8#34306C212yesmaximal, complemented
9#34305C212yesmaximal, complemented
10#34302C214yesmaximal, complemented
11#34301C212yesmaximal, complemented
12#34298C212yesmaximal, complemented
13#34296C214yesmaximal, complemented
14#34280C212yesmaximal, complemented
15#34279C212yesmaximal, complemented
16#34275C211yesmaximal, characteristic, complemented
17#34272C211yesmaximal, characteristic, complemented
18#34255C211yesmaximal, characteristic, complemented
19#34253C211yesmaximal, characteristic, complemented
20#34227C212yesmaximal, complemented
21#34226C212yesmaximal, complemented
22#34204C211yesmaximal, characteristic, complemented
23#34202C211yesmaximal, characteristic, complemented
24#34180C211yesmaximal, characteristic, complemented
25C4×#544C211yesmaximal, characteristic, complemented
26C4×#542C212yesmaximal, complemented
27C4×#540C212yesmaximal, complemented
28C4×#535C211yesmaximal, characteristic, complemented
29#34086C212yesmaximal, complemented
30#34084C212yesmaximal, complemented
31#34065C211yesmaximal, characteristic, complemented
32C2×#2324C211yesmaximal, characteristic, complemented
33C4×#520C211yesmaximal, characteristic, complemented
34C4×#518C211yesmaximal, characteristic, complemented
35#33996C211yesmaximal, characteristic, complemented
36#3494C4132yescomplemented
37C2×#555C2212yes—
38C2×#553C2212yes—
39C2×#553C2212yes—
40C2×#551C2214yes—
41C2×#547C2212yes—
42C2×#546C2214yes—
43C2×#544C2211yescharacteristic
44C2×#542C2212yes—
45C2×#540C2212yes—
46C2×#535C2211yescharacteristic
47C2×#532C2212yes—
48C2×#529C2212yes—
49C2×#525C2211yescharacteristic
50C22×#121C2211yescharacteristic
51C2×#520C2211yescharacteristic
52C2×#520C2211yescharacteristic
53C2×#518C2211yescharacteristic
54C2×#518C2211yescharacteristic
55C2×C4×#41C2211yescharacteristic
56C22×C4×D4C2211yescharacteristic
57C22×#117C2211yescharacteristic
58C22×#117C2211yescharacteristic
59C22×#117C2211yescharacteristic
60#2374C2214yescomplemented
61#2374C2214yescomplemented
62#2374C2214yescomplemented
63#2374C2214yescomplemented
64#2374C2214yescomplemented
65#2373C2214yescomplemented
66#2373C2214yescomplemented
67#2373C2214yescomplemented
68#2373C2214yescomplemented
69#2372C2214yescomplemented
70#2370C2212yescomplemented
71#2370C2212yescomplemented
72#2369C2212yescomplemented
73#2368C2214yes—
74#2368C2214yescomplemented
75#2367C2214yescomplemented
76#2367C2214yescomplemented
77#2367C2214yescomplemented
78#2365C2212yescomplemented
79#2364C2214yescomplemented
80#2364C2214yescomplemented
81#2363C2212yes—
82#2363C2212yes—
83#2363C2212yescomplemented
84#2363C2214yescomplemented
85#2363C2214yescomplemented
86#2363C2212yescomplemented
87#2363C2214yescomplemented
88#2363C2214yescomplemented
89#2362C2214yescomplemented
90#2361C2212yes—
91#2361C2212yes—
92#2361C2212yescomplemented
93#2361C2212yescomplemented
94#2360C2214yes—
95#2359C2214yes—
96#2359C2214yescomplemented
97#2359C2214yescomplemented
98#2359C2214yescomplemented
99#2358C2214yes—
100#2358C2214yes—
101#2358C2214yes—
102#2357C2212yescomplemented
103#2357C2214yescomplemented
104#2357C2214yescomplemented
105#2357C2212yescomplemented
106#2354C2212yescomplemented
107#2354C2212yescomplemented
108#2354C2212yescomplemented
109#2353C2214yes—
110#2353C2214yescomplemented
111#2352C2214yes—
112#2352C2212yescomplemented
113#2352C2212yescomplemented
114#2349C2214yescomplemented
115D4×C4⋊C4C2212yescomplemented
116#2347C2212yescomplemented
117#2347C2214yescomplemented
118#2347C2212yescomplemented
119#2346C2212yescomplemented
120#2346C2212yescomplemented
121#2345C2212yescomplemented
122#2345C2212yescomplemented
123#2344C2212yescomplemented
124#2344C2212yescomplemented
125#2343C2214yes—
126#2343C2214yescomplemented
127#2342C2214yes—
128#2342C2214yes—
129#2342C2214yes—
130#2342C2214yes—
131#2341C2214yescomplemented
132#2339C2214yescomplemented
133D4×C22⋊C4C2214yes—
134#2337C2214yescomplemented
135#2337C2214yescomplemented
136#2337C2214yescomplemented
137#2335C2214yescomplemented
138#2335C2214yescomplemented
139#2335C2214yescomplemented
140#2335C2214yescomplemented
141#2335C2214yescomplemented
142#2334C2214yescomplemented
143#2334C2214yescomplemented
144#2334C2214yescomplemented
145#2333C2214yescomplemented
146#2333C2214yescomplemented
147#2333C2214yescomplemented
148#2333C2214yescomplemented
149#2332C2214yescomplemented
150#2331C2212yescomplemented
151#2331C2212yescomplemented
152#2331C2212yescomplemented
153#2330C2212yescomplemented
154#2330C2212yescomplemented
155#2330C2212yescomplemented
156#2329C2214yes—
157#2328C2212yescomplemented
158#2328C2212yescomplemented
159#2326C2212yescomplemented
160#2326C2212yescomplemented
161#2324C2212yes—
162#2324C2212yes—
163#2324C2212yes—
164#2324C2212yes—
165#2324C2212yes—
166#2324C2212yes—
167#2324C2212yes—
168#2324C2212yes—
169#2324C2212yes—
170#2324C2212yes—
171#2324C2212yescomplemented
172#2324C2212yescomplemented
173#2324C2211yescharacteristic, complemented
174#2324C2211yescharacteristic, complemented
175#2324C2211yescharacteristic, complemented
176#2324C2211yescharacteristic, complemented
177#2324C2212yescomplemented
178#2323C2211yescharacteristic, complemented
179#2323C2211yescharacteristic, complemented
180#2323C2211yescharacteristic, complemented
181#2323C2211yescharacteristic, complemented
182#2323C2212yescomplemented
183#2322C2212yes—
184#2322C2212yes—
185#2321C2214yes—
186#2321C2212yes—
187#2321C2212yes—
188#2320C2212yescomplemented
189#2319C2212yescomplemented
190#2319C2212yescomplemented
191#2319C2212yescomplemented
192#2317C2211yescharacteristic
193#2317C2211yescharacteristic
194#2317C2211yescharacteristic
195#2316C2211yescharacteristic
196#2314C2212yescomplemented
197#2314C2212yescomplemented
198#2311C2211yescharacteristic
199#2309C2211yescharacteristic
200C4×C4⋊Q8C2212yescomplemented
201C4×C4⋊Q8C2212yescomplemented
202C4×C4⋊Q8C2212yescomplemented
203C4×#127C2212yescomplemented
204C4×#127C2212yescomplemented
205C4×#125C2212yescomplemented
206C4×#125C2212yescomplemented
207C4×#125C2212yescomplemented
208C4×#126C2214yescomplemented
209C4×#124C2214yescomplemented
210C4×#124C2212yescomplemented
211C4×#124C2212yescomplemented
212C4×C22⋊Q8C2214yes—
213C4×C22⋊Q8C2214yescomplemented
214C4×C22⋊Q8C2212yescomplemented
215C4×#123C2214yescomplemented
216C4×#123C2214yescomplemented
217C4×#123C2214yescomplemented
218C4×#121C2212yes—
219C4×#121C2212yes—
220C4×#121C2214yescomplemented
221C4×#121C2212yescomplemented
222C4×#121C2212yescomplemented
223C4×#121C2214yescomplemented
224C4×#121C2212yescomplemented
225C4×#120C2214yes—
226#2298C2214yescomplemented
227#2297C2211yescharacteristic
228#2297C2214yescomplemented
229#2297C2214yescomplemented
230#2296C2211yescharacteristic
231#2296C2214yescomplemented
232#2295C2212yescomplemented
233#2293C2212yescomplemented
234#2293C2212yescomplemented
235#2293C2214yescomplemented
236#2293C2212yescomplemented
237#2293C2212yescomplemented
238#2293C2212yescomplemented
239C2×#390C2212yes—
240C2×#390C2211yescharacteristic
241C2×#389C2211yescharacteristic
242#2290C2212yescomplemented
243#2290C2214yescomplemented
244#2290C2214yescomplemented
245#2290C2214yescomplemented
246#2290C2212yescomplemented
247C2×#388C2212yes—
248C2×#386C2212yes—
249C2×#385C2212yes—
250#2285C2212yescomplemented
251#2283C2212yescomplemented
252#2280C2211yescharacteristic
253C2×#380C2211yescharacteristic
254#2276C2212yescomplemented
255#2275C2214yes—
256#2275C2212yescomplemented
257#2275C2212yescomplemented
258#2275C2212yescomplemented
259#2275C2212yescomplemented
260#2275C2212yescomplemented
261#2274C2212yes—
262#2274C2211yescharacteristic
263#2274C2211yescharacteristic
264#2274C2211yescharacteristic
265#2274C2211yescharacteristic
266#2274C2212yes—
267#2274C2211yescharacteristic, complemented
268#2274C2211yescharacteristic, complemented
269#2274C2211yescharacteristic, complemented
270#2274C2212yescomplemented
271#2274C2211yescharacteristic, complemented
272#2274C2211yescharacteristic, complemented
273#2274C2212yescomplemented
274#2274C2211yescharacteristic, complemented
275#2274C2211yescharacteristic, complemented
276#2274C2211yescharacteristic, complemented
277#2273C2214yes—
278#2273C2212yes—
279#2273C2212yes—
280C42×Q8C2212yescomplemented
281C42×D4C2214yes—
282C42×D4C2212yescomplemented
283C42×D4C2212yescomplemented
284C42×D4C2212yescomplemented
285C42×D4C2212yescomplemented
286C42×D4C2212yescomplemented
287C4×#117C2211yescharacteristic
288C4×#117C2211yescharacteristic
289C4×#117C2211yescharacteristic
290C4×#117C2211yescharacteristic
291C4×#117C2211yescharacteristic
292C4×#117C2212yescomplemented
293C4×#117C2212yescomplemented
294C4×#117C2212yescomplemented
295C4×#117C2212yescomplemented
296C4×#117C2212yescomplemented
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yescomplemented
299C2×C4×C22⋊C4C2214yes—
300C22×#41C2311yescharacteristic
301C22×#41C2314yes—
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C24×C4C2311yescharacteristic
305C24×C4C2312yes—
306#555C2×C4132yescomplemented
307#553C2×C4132yescomplemented
308#553C2×C4132yescomplemented
309#551C2×C4164yescomplemented
310#547C2×C4132yescomplemented
311#546C2×C4164yescomplemented
312#544C2×C4116yescomplemented
313#542C2×C4132yescomplemented
314#540C2×C4132yescomplemented
315#535C2×C4116yescomplemented
316#532C2×C4132yescomplemented
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×#127C2312yes—
320#529C2×C4132yescomplemented
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328#525C2×C4116yescomplemented
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×#121C2×C4116yescomplemented
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#120C2312yes—
351C2×#120C2314yes—
352#520—28no—
353#520C2×C4116yescomplemented
354#518—28no—
355#518C2×C4116yescomplemented
356C4×#41—28no—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2314yes—
361C2×C4×Q8C2314yes—
362C2×C4×Q8C2312yes—
363C2×C4×D4—28no—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×#117—28no—
396C2×#117—28no—
397C2×#117C2×C4116yescomplemented
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2311yescharacteristic
413C2×#117C2312yes—
414C2×#117C2311yescharacteristic
415C2×#117C2314yes—
416C2×#117C2314yes—
417C2×#117C2314yes—
418C2×#117C2314yes—
419C2×#117C2311yescharacteristic
420C2×#117C2311yescharacteristic
421C2×#117C2312yes—
422C2×#117C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2314yes—
425C2×#117C2311yescharacteristic
426C2×#117C2312yes—
427C2×#117C2311yescharacteristic
428C2×#117C2311yescharacteristic
429C22×C4⋊C4C2311yescharacteristic
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2311yescharacteristic
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2311yescharacteristic
441C22×C22⋊C4C2311yescharacteristic
442C22×C22⋊C4C2311yescharacteristic
443C22×C22⋊C4C2312yes—
444C22×C22⋊C4C2312yes—
445C22×C22⋊C4C2314yes—
446C22×C22⋊C4C2312yes—
447C22×C22⋊C4C2312yes—
448C22×C22⋊C4C2312yes—
449C22×C22⋊C4C2312yes—
450C22×C22⋊C4C2314yes—
451C22×C22⋊C4C2312yes—
452C22×C42C2311yescharacteristic
453C22×C42C2312yes—
454C22×C42C2312yes—
455C22×C42C2314yes—
456C22×C42C2314yes—
457C22×C42C2312yes—
458C22×C42C2314yes—
459C22×C42C2312yes—
460C22×C42C2311yescharacteristic
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2312yes—
465#391C2311yescharacteristic
466#391C2311yescharacteristic
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#390C2311yescharacteristic
471#390C2312yes—
472#390C2312yes—
473#390C2312yes—
474#390C2314yes—
475#390C2314yes—
476#390C2314yes—
477#390C2314yes—
478#390C2312yes—
479#390C2312yes—
480#390C2312yes—
481#390C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2314yes—
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2314yes—
492#390C2314yes—
493#390C2314yes—
494#390C2311yescharacteristic
495#390C2314yes—
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2312yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#387C2312yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#386C2314yes—
600#386C2312yes—
601#386C2312yes—
602#386C2312yes—
603#386C2312yes—
604#386C2312yes—
605#386C2312yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2312yes—
628#385C2312yes—
629#385C2312yes—
630#385C2312yes—
631#385C2312yes—
632#385C2312yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#384C2312yes—
646#384C2312yes—
647#384C2312yes—
648#383C2314yes—
649#383C2314yes—
650#382C2312yes—
651#382C2312yes—
652#382C2312yes—
653#382C2314yes—
654#382C2314yes—
655#381C2314yes—
656#381C2314yes—
657#381C2314yes—
658#381C2312yes—
659#381C2314yes—
660#380C2312yes—
661#380C2312yes—
662#380C2311yescharacteristic
663#380C2311yescharacteristic
664#380C2312yes—
665#380C2314yes—
666#380C2314yes—
667#380C2314yes—
668#380C2314yes—
669#380C2312yes—
670#380C2311yescharacteristic
671#380C2311yescharacteristic
672#380C2312yes—
673#380C2312yes—
674#380C2314yes—
675#379C2314yes—
676#379C2312yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2314yes—
679C4×C4⋊C4C2314yes—
680C4×C4⋊C4C2311yescharacteristic
681C4×C4⋊C4C2311yescharacteristic
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2314yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2311yescharacteristic
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C22⋊C4C2314yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2314yes—
753C4×C22⋊C4C2312yes—
754C4×C22⋊C4C2312yes—
755C4×C22⋊C4C2312yes—
756C4×C22⋊C4C2312yes—
757C4×C22⋊C4C2314yes—
758C4×C22⋊C4C2314yes—
759C4×C22⋊C4C2312yes—
760C4×C22⋊C4C2312yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2314yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814#376C2312yes—
815#376C2312yes—
816#376C2312yes—
817#376C2312yes—
818#376C2314yes—
819#376C2314yes—
820#376C2314yes—
821#376C2312yes—
822C2×#95C2312yes—
823C2×#95C2314yes—
824C2×#95C2314yes—
825C2×#95C2312yes—
826C2×#95C2314yes—
827C2×#95C2312yes—
828C43C2314yes—
829C43C2312yes—
830C43C2312yes—
831C43C2312yes—
832C43C2312yes—
833C43C2312yes—
834C25C2411yescharacteristic
835C25C2412yes—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—84no—
839C2×#41—84no—
840C2×#41C22×C418yes—
841C2×#41C22×C4132yescomplemented
842C22×Q8C2411yescharacteristic
843C22×Q8C2414yes—
844C22×D4—24no—
845C22×D4—24no—
846C22×D4—82no—
847C22×D4—82no—
848C22×D4C22×C418yes—
849C22×D4C22×C4116yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C23×C4—24no—
861C23×C4—24no—
862C23×C4—28no—
863C23×C4—82no—
864C23×C4—82no—
865C23×C4C22×C418yes—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2414yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C4⋊Q8C22×C4116yescomplemented
895C4⋊Q8C22×C4116yescomplemented
896#127C22×C4116yes—
897#126C22×C4132yescomplemented
898#126C22×C4132yescomplemented
899#125C22×C4116yescomplemented
900#125C22×C4116yescomplemented
901#124C22×C4116yes—
902#124C22×C4132yescomplemented
903#124C22×C4132yescomplemented
904#123C22×C4116yes—
905#123C22×C4132yescomplemented
906#123C22×C4132yescomplemented
907#123C22×C4132yescomplemented
908#123C22×C4132yescomplemented
909C22⋊Q8C22×C4132yes—
910C22⋊Q8C22×C418yescomplemented
911C22⋊Q8C22×C418yescomplemented
912C22⋊Q8C22×C4132yescomplemented
913#121C22×C4116yes—
914#121C22×C4116yes—
915#121C22×C4116yes—
916#121C22×C4116yes—
917#121C22×C4116yes—
918#121C22×C4116yes—
919#121C22×C418yescomplemented
920#121C22×C418yescomplemented
921#121C22×C4132yescomplemented
922#121C22×C4132yescomplemented
923#121C22×C4132yescomplemented
924#120C22×C4116yes—
925#120C22×C4132yes—
926C4×Q8—24no—
927C4×Q8—24no—
928C4×Q8—28no—
929C4×Q8—84no—
930C4×Q8—84no—
931C4×Q8C22×C4116yescomplemented
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—216no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—84no—
947C4×D4—84no—
948C4×D4—84no—
949C4×D4—84no—
950C4×D4—84no—
951C4×D4—84no—
952C4×D4—84no—
953C4×D4C22×C4116yes—
954C4×D4C22×C4116yes—
955C4×D4C22×C4116yes—
956C4×D4C22×C4116yes—
957C4×D4C22×C4132yes—
958C4×D4C22×C4116yescomplemented
959C4×D4C22×C4116yescomplemented
960C4×D4C22×C4116yescomplemented
961C4×D4C22×C4132yescomplemented
962C4×D4C22×C4132yescomplemented
963#117—24no—
964#117—24no—
965#117—24no—
966#117—24no—
967#117—24no—
968#117—28no—
969#117—28no—
970#117—24no—
971#117—24no—
972#117—28no—
973#117—24no—
974#117—24no—
975#117—24no—
976#117—24no—
977#117—24no—
978#117—24no—
979#117—28no—
980#117—84no—
981#117—84no—
982#117—84no—
983#117—84no—
984#117C22×C418yes—
985#117C22×C418yes—
986#117C22×C4116yes—
987#117C22×C418yes—
988#117C22×C4116yescomplemented
989#117C22×C418yescomplemented
990#117C22×C418yescomplemented
991#117C22×C4116yescomplemented
992#117C22×C4132yescomplemented
993#117#4118yescomplemented
994C2×C4⋊C4—24no—
995C2×C4⋊C4—24no—
996C2×C4⋊C4—24no—
997C2×C4⋊C4—24no—
998C2×C4⋊C4—24no—
999C2×C4⋊C4—24no—
1000C2×C4⋊C4—28no—
1001C2×C4⋊C4—82no—
1002C2×C4⋊C4C22×C418yes—
1003C2×C4⋊C4C22×C418yescomplemented
1004C2×C4⋊C4C22×C418yescomplemented
1005C2×C4⋊C4C22×C4116yescomplemented
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C22⋊C4—24no—
1062C2×C22⋊C4—24no—
1063C2×C22⋊C4—28no—
1064C2×C22⋊C4—28no—
1065C2×C22⋊C4—216no—
1066C2×C22⋊C4—82no—
1067C2×C22⋊C4—82no—
1068C2×C22⋊C4—82no—
1069C2×C22⋊C4C22×C4116yes—
1070C2×C22⋊C4C22×C4132yes—
1071C2×C22⋊C4C22×C4116yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C42—24no—
1130C2×C42—28no—
1131C2×C42—28no—
1132C2×C42—84no—
1133C2×C42—84no—
1134C2×C42—84no—
1135C2×C42—82no—
1136C2×C42C22×C4116yescomplemented
1137C2×C42#4118yescomplemented
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2414yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2414yes—
1153C2×C42C2412yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2414yes—
1162C2×C42C2414yes—
1163C2×C42C2414yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2414yes—
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2414yes—
1183C2×C42C2412yes—
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2414yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247C24—22no—
1248C24—22no—
1249C24—24no—
1250C24—24no—
1251C24—41no—
1252C24—42no—
1253C24—42no—
1254C24—42no—
1255C24—41no—
1256C24—41no—
1257C24—41no—
1258C24—42no—
1259C24C23×C418yes—
1260C24C23×C414yes—
1261C24C2511yescharacteristic
1262C24C2511yescharacteristic
1263C24C2514yes—
1264C24C2512yes—
1265C24C2511yescharacteristic
1266#41—232no—
1267#41—832no—
1268C2×Q8—22no—
1269C2×Q8—22no—
1270C2×Q8—44no—
1271C2×Q8—44no—
1272C2×Q8C23×C414yes—
1273C2×Q8C23×C4116yes—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—232no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—816no—
1296C2×D4C23×C418yes—
1297C2×D4C23×C418yes—
1298C2×D4C23×C418yes—
1299C2×D4C23×C414yes—
1300C2×D4C23×C4116yes—
1301C2×D4C23×C418yes—
1302C2×D4C23×C418yes—
1303C2×D4C23×C4116yes—
1304C2×D4C23×C4116yes—
1305C2×D4C23×C4116yes—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—232no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—28no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—28no—
1329C22×C4—28no—
1330C22×C4—28no—
1331C22×C4—28no—
1332C22×C4—41no—
1333C22×C4—42no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—42no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—42no—
1348C22×C4—44no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—41no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—42no—
1372C22×C4—44no—
1373C22×C4—41no—
1374C22×C4—816no—
1375C22×C4C23×C414yes—
1376C22×C4C23×C414yes—
1377C22×C4C23×C414yes—
1378C22×C4C23×C418yes—
1379C22×C4C23×C414yes—
1380C22×C4C23×C414yes—
1381C22×C4C23×C418yes—
1382C22×C4C23×C418yes—
1383C22×C4C23×C418yes—
1384C22×C4C23×C4116yes—
1385C22×C4C23×C4116yes—
1386C22×C4C23×C4116yes—
1387C22×C4C23×C414yes—
1388C22×C4C2×#4114yes—
1389C22×C4C2×#4114yes—
1390C22×C4C2×#4114yes—
1391C22×C4C2×#4114yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2514yes—
1398C22×C4C2512yes—
1399C22×C4C2514yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2514yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2512yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—28no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—42no—
1459C4⋊C4C23×C418yes—
1460C4⋊C4C23×C418yes—
1461C4⋊C4C23×C414yes—
1462C4⋊C4C23×C414yes—
1463C4⋊C4C23×C414yes—
1464C4⋊C4C23×C414yes—
1465C4⋊C4C23×C418yes—
1466C4⋊C4C23×C418yes—
1467C4⋊C4C23×C4116yes—
1468C4⋊C4C23×C414yes—
1469C4⋊C4C23×C414yes—
1470C4⋊C4C23×C418yes—
1471C4⋊C4C23×C4116yes—
1472C4⋊C4C23×C4116yes—
1473C4⋊C4C23×C4116yes—
1474C4⋊C4C23×C418yes—
1475C4⋊C4C2×#4114yes—
1476C4⋊C4C2×#4114yes—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—24no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—28no—
1491C22⋊C4—28no—
1492C22⋊C4—28no—
1493C22⋊C4—28no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—28no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4C23×C418yes—
1518C22⋊C4C23×C418yes—
1519C22⋊C4C23×C418yes—
1520C22⋊C4C23×C418yes—
1521C22⋊C4C23×C418yes—
1522C22⋊C4C23×C4116yes—
1523C22⋊C4C23×C4116yes—
1524C22⋊C4C23×C4116yes—
1525C22⋊C4C23×C4116yes—
1526C22⋊C4C23×C4116yes—
1527C22⋊C4C23×C4116yes—
1528C22⋊C4C23×C418yes—
1529C22⋊C4C23×C418yes—
1530C22⋊C4C23×C4116yes—
1531C22⋊C4C23×C418yes—
1532C22⋊C4C23×C418yes—
1533C22⋊C4C2×#4118yes—
1534C42—24no—
1535C42—24no—
1536C42—22no—
1537C42—22no—
1538C42—24no—
1539C42—22no—
1540C42—22no—
1541C42—24no—
1542C42—24no—
1543C42—24no—
1544C42—24no—
1545C42—28no—
1546C42—42no—
1547C42—42no—
1548C42—42no—
1549C42—44no—
1550C42—42no—
1551C42—42no—
1552C42—44no—
1553C42—44no—
1554C42—44no—
1555C42—44no—
1556C42—44no—
1557C42—44no—
1558C42—44no—
1559C42—42no—
1560C42—42no—
1561C42—42no—
1562C42—42no—
1563C42—42no—
1564C42—42no—
1565C42—44no—
1566C42—42no—
1567C42—42no—
1568C42—42no—
1569C42—42no—
1570C42—42no—
1571C42—42no—
1572C42—44no—
1573C42—42no—
1574C42—42no—
1575C42—42no—
1576C42C23×C418yes—
1577C42C23×C418yes—
1578C42C23×C418yes—
1579C42C23×C418yes—
1580C42C23×C418yes—
1581C42C23×C4116yes—
1582C42C2×#4114yes—
1583C42C2×#4118yes—
1584C42C2×#4114yes—
1585C42C2×#4114yes—
1586C42C2×#4114yes—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—22no—
1595C23—22no—
1596C23—24no—
1597C23—24no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—24no—
1602C23—22no—
1603C23—22no—
1604C23—24no—
1605C23—21no—
1606C23—21no—
1607C23—22no—
1608C23—24no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—24no—
1613C23—22no—
1614C23—21no—
1615C23—28no—
1616C23—216no—
1617C23—44no—
1618C23—48no—
1619C23—44no—
1620C23—48no—
1621C23—84no—
1622C23—82no—
1623C23—82no—
1624C23—84no—
1625C23—82no—
1626C23—84no—
1627C23—82no—
1628C23—84no—
1629C23C24×C412yes—
1630C23C24×C418yes—
1631C23C24×C414yes—
1632C23C24×C412yes—
1633C23C24×C412yes—
1634C23C22×#4112yes—
1635C23C22×#4112yes—
1636C23C2611yescharacteristic
1637Q8—28no—
1638Q8—416no—
1639D4—216no—
1640D4—216no—
1641D4—216no—
1642D4—28no—
1643D4—416no—
1644D4—416no—
1645D4—48no—
1646D4—416no—
1647D4—416no—
1648D4—48no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—28no—
1682C2×C4—28no—
1683C2×C4—28no—
1684C2×C4—28no—
1685C2×C4—28no—
1686C2×C4—216no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—21no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—44no—
1724C2×C4—416no—
1725C2×C4—48no—
1726C2×C4—48no—
1727C2×C4—416no—
1728C2×C4—416no—
1729C2×C4—48no—
1730C2×C4—44no—
1731C2×C4—48no—
1732C2×C4—416no—
1733C2×C4—84no—
1734C2×C4—84no—
1735C2×C4—88no—
1736C2×C4—84no—
1737C2×C4—88no—
1738C2×C4—88no—
1739C2×C4—88no—
1740C2×C4—82no—
1741C2×C4—82no—
1742C2×C4—84no—
1743C2×C4—84no—
1744C2×C4C4×#41116yes—
1745C2×C4C24×C412yes—
1746C2×C4C24×C414yes—
1747C2×C4C24×C414yes—
1748C2×C4C24×C414yes—
1749C2×C4C24×C414yes—
1750C2×C4C24×C414yes—
1751C2×C4C24×C414yes—
1752C2×C4C24×C414yes—
1753C2×C4C24×C418yes—
1754C2×C4C24×C412yes—
1755C2×C4C24×C412yes—
1756C2×C4C24×C412yes—
1757C2×C4C22×#4114yes—
1758C2×C4C22×#4112yes—
1759C2×C4C22×#4112yes—
1760C2×C4C22×#4114yes—
1761C2×C4C22×#4112yes—
1762C2×C4C22×#4112yes—
1763C2×C4C22×#4112yes—
1764C2×C4C22×#4112yes—
1765C2×C4C22×#4112yes—
1766C2×C4C22×#4112yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—24no—
1776C22—28no—
1777C22—22no—
1778C22—24no—
1779C22—28no—
1780C22—22no—
1781C22—22no—
1782C22—28no—
1783C22—24no—
1784C22—22no—
1785C22—44no—
1786C22—42no—
1787C22—41no—
1788C22—41no—
1789C22—42no—
1790C22—41no—
1791C22—41no—
1792C22—44no—
1793C22—41no—
1794C22—44no—
1795C22—42no—
1796C22—41no—
1797C22—42no—
1798C22—41no—
1799C22—44no—
1800C22—41no—
1801C22—88no—
1802C22—816no—
1803C22C2×C4×#4114yes—
1804C22C25×C411yescharacteristic
1805C22C23×#4111yescharacteristic
1806C22C23×#4111yescharacteristic
1807C22H(7,𝔽2)11yescharacteristic
1808C22H(7,𝔽2)11yescharacteristic
1809C22H(7,𝔽2)11yescharacteristic
1810C222−1+611yescharacteristic
1811C4—22no—
1812C4—22no—
1813C4—22no—
1814C4—22no—
1815C4—24no—
1816C4—24no—
1817C4—22no—
1818C4—22no—
1819C4—24no—
1820C4—24no—
1821C4—28no—
1822C4—24no—
1823C4—24no—
1824C4—24no—
1825C4—24no—
1826C4—24no—
1827C4—44no—
1828C4—41no—
1829C4—41no—
1830C4—42no—
1831C4—42no—
1832C4—41no—
1833C4—41no—
1834C4—42no—
1835C4—42no—
1836C4—42no—
1837C4—42no—
1838C4—44no—
1839C4C2×C4×#4114yes—
1840C4C2×C4×#4114yes—
1841C2—24no—
1842C2—44no—
1843C2—42no—
1844C2—42no—
1845C2—48no—
1846C2C22×C4×#4111yescharacteristic
1847C2#6265211yescharacteristic
1848C2#6265411yescharacteristic
1849C2#6285511yescharacteristic
1850C2#6285611yescharacteristic
1851C2#6285711yescharacteristic
1852C2#6285811yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC2×#3494C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34321C2semidirect
3. #34320C2semidirect
4. #34319C2semidirect
5. #34319C2semidirect
6. #34316C2semidirect
7. #34315C2semidirect
8. #34306C2semidirect
9. #34305C2semidirect
10. #34302C2semidirect
11. #34301C2semidirect
12. #34298C2semidirect
13. #34296C2semidirect
14. #34280C2semidirect
15. #34279C2semidirect
16. #34275C2semidirect
17. #34272C2semidirect
18. #34255C2semidirect
19. #34253C2semidirect
20. #34227C2semidirect
21. #34226C2semidirect
22. #34204C2semidirect
23. #34202C2semidirect
24. #34180C2semidirect
25. C4×#544C2semidirect
26. C4×#542C2semidirect
27. C4×#540C2semidirect
28. C4×#535C2semidirect
29. #34086C2semidirect
30. #34084C2semidirect
31. #34065C2semidirect
32. C2×#2324C2semidirect
33. C4×#520C2semidirect
34. C4×#518C2semidirect
35. #33996C2semidirect
36. #3494C4semidirect
60. #2374C22semidirect
61. #2374C22semidirect
62. #2374C22semidirect
63. #2374C22semidirect
64. #2374C22semidirect
65. #2373C22semidirect
66. #2373C22semidirect
67. #2373C22semidirect
68. #2373C22semidirect
69. #2372C22semidirect
70. #2370C22semidirect
71. #2370C22semidirect
72. #2369C22semidirect
74. #2368C22semidirect
75. #2367C22semidirect
76. #2367C22semidirect
77. #2367C22semidirect
78. #2365C22semidirect
79. #2364C22semidirect
80. #2364C22semidirect
83. #2363C22semidirect
84. #2363C22semidirect
85. #2363C22semidirect
86. #2363C22semidirect
87. #2363C22semidirect
88. #2363C22semidirect
89. #2362C22semidirect
92. #2361C22semidirect
93. #2361C22semidirect
96. #2359C22semidirect
97. #2359C22semidirect
98. #2359C22semidirect
102. #2357C22semidirect
103. #2357C22semidirect
104. #2357C22semidirect
105. #2357C22semidirect
106. #2354C22semidirect
107. #2354C22semidirect
108. #2354C22semidirect
110. #2353C22semidirect
112. #2352C22semidirect
113. #2352C22semidirect
114. #2349C22semidirect
115. D4×C4⋊C4C22semidirect
116. #2347C22semidirect
117. #2347C22semidirect
118. #2347C22semidirect
119. #2346C22semidirect
120. #2346C22semidirect
121. #2345C22semidirect
122. #2345C22semidirect
123. #2344C22semidirect
124. #2344C22semidirect
126. #2343C22semidirect
131. #2341C22semidirect
132. #2339C22semidirect
134. #2337C22semidirect
135. #2337C22semidirect
136. #2337C22semidirect
137. #2335C22semidirect
138. #2335C22semidirect
139. #2335C22semidirect
140. #2335C22semidirect
141. #2335C22semidirect
142. #2334C22semidirect
143. #2334C22semidirect
144. #2334C22semidirect
145. #2333C22semidirect
146. #2333C22semidirect
147. #2333C22semidirect
148. #2333C22semidirect
149. #2332C22semidirect
150. #2331C22semidirect
151. #2331C22semidirect
152. #2331C22semidirect
153. #2330C22semidirect
154. #2330C22semidirect
155. #2330C22semidirect
157. #2328C22semidirect
158. #2328C22semidirect
159. #2326C22semidirect
160. #2326C22semidirect
171. #2324C22semidirect
172. #2324C22semidirect
173. #2324C22semidirect
174. #2324C22semidirect
175. #2324C22semidirect
176. #2324C22semidirect
177. #2324C22semidirect
178. #2323C22semidirect
179. #2323C22semidirect
180. #2323C22semidirect
181. #2323C22semidirect
182. #2323C22semidirect
188. #2320C22semidirect
189. #2319C22semidirect
190. #2319C22semidirect
191. #2319C22semidirect
196. #2314C22semidirect
197. #2314C22semidirect
200. C4×C4⋊Q8C22semidirect
201. C4×C4⋊Q8C22semidirect
202. C4×C4⋊Q8C22semidirect
203. C4×#127C22semidirect
204. C4×#127C22semidirect
205. C4×#125C22semidirect
206. C4×#125C22semidirect
207. C4×#125C22semidirect
208. C4×#126C22semidirect
209. C4×#124C22semidirect
210. C4×#124C22semidirect
211. C4×#124C22semidirect
213. C4×C22⋊Q8C22semidirect
214. C4×C22⋊Q8C22semidirect
215. C4×#123C22semidirect
216. C4×#123C22semidirect
217. C4×#123C22semidirect
220. C4×#121C22semidirect
221. C4×#121C22semidirect
222. C4×#121C22semidirect
223. C4×#121C22semidirect
224. C4×#121C22semidirect
226. #2298C22semidirect
228. #2297C22semidirect
229. #2297C22semidirect
231. #2296C22semidirect
232. #2295C22semidirect
233. #2293C22semidirect
234. #2293C22semidirect
235. #2293C22semidirect
236. #2293C22semidirect
237. #2293C22semidirect
238. #2293C22semidirect
242. #2290C22semidirect
243. #2290C22semidirect
244. #2290C22semidirect
245. #2290C22semidirect
246. #2290C22semidirect
250. #2285C22semidirect
251. #2283C22semidirect
254. #2276C22semidirect
256. #2275C22semidirect
257. #2275C22semidirect
258. #2275C22semidirect
259. #2275C22semidirect
260. #2275C22semidirect
267. #2274C22semidirect
268. #2274C22semidirect
269. #2274C22semidirect
270. #2274C22semidirect
271. #2274C22semidirect
272. #2274C22semidirect
273. #2274C22semidirect
274. #2274C22semidirect
275. #2274C22semidirect
276. #2274C22semidirect
280. C42×Q8C22semidirect
282. C42×D4C22semidirect
283. C42×D4C22semidirect
284. C42×D4C22semidirect
285. C42×D4C22semidirect
286. C42×D4C22semidirect
292. C4×#117C22semidirect
293. C4×#117C22semidirect
294. C4×#117C22semidirect
295. C4×#117C22semidirect
296. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
306. #555C2×C4semidirect
307. #553C2×C4semidirect
308. #553C2×C4semidirect
309. #551C2×C4semidirect
310. #547C2×C4semidirect
311. #546C2×C4semidirect
312. #544C2×C4semidirect
313. #542C2×C4semidirect
314. #540C2×C4semidirect
315. #535C2×C4semidirect
316. #532C2×C4semidirect
320. #529C2×C4semidirect
328. #525C2×C4semidirect
338. C2×#121C2×C4semidirect
353. #520C2×C4semidirect
355. #518C2×C4semidirect
397. C2×#117C2×C4semidirect
841. C2×#41C22×C4semidirect
894. C4⋊Q8C22×C4semidirect
895. C4⋊Q8C22×C4semidirect
897. #126C22×C4semidirect
898. #126C22×C4semidirect
899. #125C22×C4semidirect
900. #125C22×C4semidirect
902. #124C22×C4semidirect
903. #124C22×C4semidirect
905. #123C22×C4semidirect
906. #123C22×C4semidirect
907. #123C22×C4semidirect
908. #123C22×C4semidirect
910. C22⋊Q8C22×C4semidirect
911. C22⋊Q8C22×C4semidirect
912. C22⋊Q8C22×C4semidirect
919. #121C22×C4semidirect
920. #121C22×C4semidirect
921. #121C22×C4semidirect
922. #121C22×C4semidirect
923. #121C22×C4semidirect
931. C4×Q8C22×C4semidirect
958. C4×D4C22×C4semidirect
959. C4×D4C22×C4semidirect
960. C4×D4C22×C4semidirect
961. C4×D4C22×C4semidirect
962. C4×D4C22×C4semidirect
988. #117C22×C4semidirect
989. #117C22×C4semidirect
990. #117C22×C4semidirect
991. #117C22×C4semidirect
992. #117C22×C4semidirect
993. #117#41semidirect
1003. C2×C4⋊C4C22×C4semidirect
1004. C2×C4⋊C4C22×C4semidirect
1005. C2×C4⋊C4C22×C4semidirect
1136. C2×C42C22×C4semidirect
1137. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
#343212
#343202
#343192
#343162
#343152
#343062
#343052
#343022
#343012
#342982
#342962
#342802
#342792
#342752
#342722
#342552
#342532
#342272
#342262
#342042
#342022
#341802
C4×#5442
C4×#5422
C4×#5402
C4×#5352
#340862
#340842
#340652
C2×#23242
C4×#5202
C4×#5182
#339962