Finite Group Databasebeta

← #7630708

Subgroups — #7630708

Order 512.

7938 conjugacy classes of subgroups.

The subgroup lattice has 1999 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic, complemented
2C2×#3513C211yesmaximal, characteristic, complemented
3#36062C211yesmaximal, characteristic, complemented
4#36051C211yesmaximal, characteristic, complemented
5#36015C212yesmaximal, complemented
6#35953C212yesmaximal, complemented
7#35950C211yesmaximal, characteristic, complemented
8#35941C211yesmaximal, characteristic, complemented
9#35930C211yesmaximal, characteristic, complemented
10#35922C212yesmaximal, complemented
11#35921C211yesmaximal, characteristic, complemented
12#35906C212yesmaximal, complemented
13#35903C211yesmaximal, characteristic, complemented
14#35850C212yesmaximal, complemented
15#35847C211yesmaximal, characteristic, complemented
16#35768C212yesmaximal, complemented
17#35764C214yesmaximal, complemented
18#35761C212yesmaximal, complemented
19#35694C214yesmaximal, complemented
20#35691C212yesmaximal, complemented
21#35212C211yesmaximal, characteristic, complemented
22#35191C211yesmaximal, characteristic, complemented
23#35171C212yesmaximal, complemented
24#35169C212yesmaximal, complemented
25#35078C212yesmaximal, complemented
26#35064C212yesmaximal, complemented
27#35009C214yesmaximal, complemented
28#35007C214yesmaximal, complemented
29#34643C211yesmaximal, characteristic, complemented
30#34624C211yesmaximal, characteristic, complemented
31#34575C212yesmaximal, complemented
32C2×#2661C212yesmaximal, complemented
33#34310C212yesmaximal, complemented
34#34309C212yesmaximal, complemented
35C4×#518C211yesmaximal, characteristic, complemented
36#3519—216no—
37#3513—216no—
38C2×#559C2211yescharacteristic, complemented
39C2×#555C2211yescharacteristic, complemented
40C2×#554C2211yescharacteristic
41C2×#554C2211yescharacteristic
42C2×#553C2212yescomplemented
43C2×#553C2212yescomplemented
44C2×#553C2211yescharacteristic, complemented
45C2×#553C2212yescomplemented
46C2×#552C2211yescharacteristic, complemented
47C2×#551C2212yescomplemented
48C2×#551C2212yescomplemented
49C2×#550C2211yescharacteristic, complemented
50C2×#547C2211yescharacteristic, complemented
51C2×#546C2212yes—
52C2×#546C2211yescharacteristic
53C2×#546C2211yescharacteristic
54C2×#546C2212yescomplemented
55C2×#546C2212yescomplemented
56C2×#546C2214yescomplemented
57C2×D42C2212yes—
58C2×D42C2211yescharacteristic
59C2×D42C2211yescharacteristic
60C2×D42C2212yes—
61C2×#542C2211yescharacteristic, complemented
62C2×#540C2211yescharacteristic, complemented
63C2×#540C2212yescomplemented
64C2×#539C2212yescomplemented
65C2×#538C2212yescomplemented
66C2×#538C2214yescomplemented
67C2×#532C2211yescharacteristic, complemented
68C2×#529C2211yescharacteristic, complemented
69C2×#529C2211yescharacteristic, complemented
70C2×#529C2211yescharacteristic, complemented
71C2×#525C2212yescomplemented
72C2×#525C2212yescomplemented
73C22×#123C2212yescomplemented
74C22×#121C2212yescomplemented
75C2×#520C2211yescharacteristic
76C2×#518C2212yes—
77C2×#518C2211yescharacteristic
78C2×#518C2212yes—
79C22×C4×D4C2211yescharacteristic
80#2861C2212yescomplemented
81#2860C2214yescomplemented
82#2858C2212yescomplemented
83#2856C2214yescomplemented
84#2854C2214yescomplemented
85#2854C2214yescomplemented
86#2850C2214yescomplemented
87#2664C2211yescharacteristic, complemented
88#2664C2211yescharacteristic, complemented
89#2664C2212yescomplemented
90#2663C2211yescharacteristic, complemented
91#2663C2214yescomplemented
92#2663C2212yescomplemented
93#2663C2212yescomplemented
94#2663C2211yescharacteristic, complemented
95#2662C2214yescomplemented
96#2662C2211yescharacteristic, complemented
97#2662C2211yescharacteristic, complemented
98#2662C2212yescomplemented
99#2661C2211yescharacteristic
100#2661C2211yescharacteristic, complemented
101#2661C2212yescomplemented
102#2661C2212yescomplemented
103#2661C2212yescomplemented
104#2661C2212yescomplemented
105#2661C2212yescomplemented
106#2661C2212yescomplemented
107#2661C2212yescomplemented
108#2661C2212yescomplemented
109#2661C2214yescomplemented
110#2661C2214yescomplemented
111#2661C2214yescomplemented
112#2661C2212yescomplemented
113#2661C2214yescomplemented
114#2661C2214yescomplemented
115#2661C2212yescomplemented
116#2660C2211yescharacteristic, complemented
117#2659C2212yescomplemented
118#2657C2211yescharacteristic, complemented
119#2656C2212yescomplemented
120#2641C2211yescharacteristic, complemented
121#2640C2211yescharacteristic, complemented
122#2639C2212yescomplemented
123#2639C2212yescomplemented
124#2620C2212yescomplemented
125#2619C2212yescomplemented
126#2617C2214yescomplemented
127#2617C2214yescomplemented
128#2611C2212yescomplemented
129#2610C2212yescomplemented
130#2603C2212yescomplemented
131#2603C2212yescomplemented
132#2602C2214yescomplemented
133#2602C2214yescomplemented
134#2602C2214yescomplemented
135#2592C2211yescharacteristic, complemented
136#2591C2212yescomplemented
137#2584C2211yescharacteristic, complemented
138#2583C2212yescomplemented
139#2562C2211yescharacteristic, complemented
140#2561C2212yescomplemented
141#2560C2214yescomplemented
142#2559C2214yescomplemented
143#2559C2214yescomplemented
144#2558C2214yescomplemented
145#2557C2214yescomplemented
146#2557C2214yescomplemented
147#2555C2214yescomplemented
148#2555C2214yescomplemented
149#2555C2214yescomplemented
150#2554C2214yescomplemented
151#2554C2214yescomplemented
152#2553C2214yescomplemented
153#2552C2212yescomplemented
154#2550C2212yescomplemented
155#2549C2214yescomplemented
156#2548C2211yescharacteristic, complemented
157#2547C2211yescharacteristic, complemented
158#2546C2211yescharacteristic, complemented
159#2544C2212yescomplemented
160#2543C2212yescomplemented
161#2543C2212yescomplemented
162#2543C2212yescomplemented
163#2543C2212yescomplemented
164#2543C2214yescomplemented
165#2541C2212yescomplemented
166#2541C2211yescharacteristic, complemented
167#2541C2212yescomplemented
168#2540C2212yescomplemented
169#2540C2211yescharacteristic, complemented
170#2539C2212yescomplemented
171#2539C2214yescomplemented
172#2537C2212yescomplemented
173#2535C2212yescomplemented
174#2534C2214yescomplemented
175#2521C2214yescomplemented
176#2519C2214yescomplemented
177#2512C2214yescomplemented
178#2504C2212yescomplemented
179#2502C2212yescomplemented
180#2500C2214yescomplemented
181#2498C2212yescomplemented
182#2498C2212yescomplemented
183#2491C2212yescomplemented
184#2491C2214yescomplemented
185#2490C2212yescomplemented
186#2490C2212yescomplemented
187#2489C2212yescomplemented
188#2488C2214yescomplemented
189#2472C2214yescomplemented
190#2472C2214yescomplemented
191#2472C2214yescomplemented
192#2464C2214yescomplemented
193#2464C2214yescomplemented
194#2464C2214yescomplemented
195#2461C2214yescomplemented
196#2445C2214yescomplemented
197#2440C2214yescomplemented
198#2435C2212yescomplemented
199#2433C2212yescomplemented
200#2433C2214yescomplemented
201#2432C2212yescomplemented
202#2431C2214yescomplemented
203#2431C2212yescomplemented
204#2430C2212yescomplemented
205#2430C2212yescomplemented
206#2428C2214yescomplemented
207#2428C2212yescomplemented
208#2428C2212yescomplemented
209#2428C2212yescomplemented
210#2428C2214yescomplemented
211#2427C2212yescomplemented
212#2425C2214yescomplemented
213#2424C2214yescomplemented
214#2424C2214yescomplemented
215#2424C2214yescomplemented
216#2422C2214yescomplemented
217#2416C2214yescomplemented
218#2415C2212yescomplemented
219#2414C2212yescomplemented
220#2414C2212yescomplemented
221#2414C2212yescomplemented
222#2412C2214yescomplemented
223#2410C2214yescomplemented
224#2410C2214yescomplemented
225#2410C2214yescomplemented
226#2408C2214yescomplemented
227#2399C2211yescharacteristic, complemented
228#2398C2211yescharacteristic, complemented
229#2398C2211yescharacteristic, complemented
230#2397C2211yescharacteristic, complemented
231#2395C2212yescomplemented
232#2395C2212yescomplemented
233#2395C2214yescomplemented
234#2392C2212yescomplemented
235#2392C2212yescomplemented
236#2392C2212yescomplemented
237#2392C2212yescomplemented
238C2×#398C2212yescomplemented
239C2×#397C2212yescomplemented
240#2388C2212yescomplemented
241#2388C2212yescomplemented
242#2388C2214yescomplemented
243#2388C2214yescomplemented
244C2×#394C2212yescomplemented
245C2×#394C2214yescomplemented
246C2×#392C2212yescomplemented
247C2×#392C2214yescomplemented
248#2367C2212yescomplemented
249#2366C2212yescomplemented
250#2364C2214yescomplemented
251#2363C2212yescomplemented
252#2363C2212yescomplemented
253#2362C2212yescomplemented
254#2361C2212yescomplemented
255#2361C2214yescomplemented
256#2359C2214yescomplemented
257#2358C2214yescomplemented
258#2358C2214yescomplemented
259#2358C2214yescomplemented
260#2354C2212yescomplemented
261#2352C2212yescomplemented
262#2349C2212yes—
263D4×C4⋊C4C2212yes—
264#2342C2214yescomplemented
265#2339C2212yes—
266D4×C22⋊C4C2212yes—
267D4×C22⋊C4C2212yes—
268D4×C22⋊C4C2212yes—
269D4×C22⋊C4C2214yescomplemented
270#2324C2212yescomplemented
271#2324C2212yescomplemented
272#2324C2212yescomplemented
273#2323C2212yescomplemented
274#2322C2214yescomplemented
275#2321C2214yescomplemented
276#2321C2214yescomplemented
277#2321C2214yescomplemented
278C4×#127C2212yescomplemented
279C4×#124C2212yescomplemented
280C4×#121C2214yescomplemented
281C4×#121C2214yescomplemented
282#2293C2212yescomplemented
283#2293C2212yescomplemented
284C2×#390C2214yescomplemented
285C2×#388C2214yescomplemented
286#2275C2211yescharacteristic
287#2275C2211yescharacteristic
288#2275C2212yescomplemented
289#2275C2212yescomplemented
290#2275C2211yescharacteristic, complemented
291#2275C2211yescharacteristic, complemented
292#2274C2212yescomplemented
293#2273C2214yescomplemented
294C42×D4C2212yes—
295C42×D4C2212yescomplemented
296C42×D4C2214yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C2×C4×C22⋊C4C2212yescomplemented
300C2×C4×C22⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2312yes—
305C23×D4C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C23×D4C2314yes—
309C23×D4C2312yes—
310C23×D4C2314yes—
311C23×D4C2312yes—
312C24×C4C2312yes—
313#559—28no—
314#555—28no—
315#554—28no—
316#554—28no—
317#553—216no—
318#553—28no—
319#553—216no—
320#553—216no—
321#552—28no—
322#551—216no—
323#551—216no—
324#550—28no—
325#547—28no—
326#546—28no—
327#546—28no—
328#546—216no—
329#546—216no—
330#546—216no—
331#546—232no—
332D42—28no—
333D42—216no—
334D42—28no—
335D42—216no—
336#542—28no—
337#540—28no—
338#540—216no—
339#539—216no—
340#538—216no—
341#538—232no—
342#532—28no—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2312yes—
346C2×#127C2312yes—
347C2×#127C2311yescharacteristic
348C2×#127C2312yes—
349C2×#127C2311yescharacteristic
350C2×#127C2314yes—
351C2×#127C2312yes—
352#529—28no—
353#529—28no—
354#529—28no—
355C2×#126C2314yes—
356C2×#126C2311yescharacteristic
357C2×#126C2311yescharacteristic
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#125C2311yescharacteristic
364C2×#125C2311yescharacteristic
365C2×#125C2311yescharacteristic
366C2×#125C2312yes—
367C2×#125C2311yescharacteristic
368C2×#125C2312yes—
369C2×#124C2311yescharacteristic
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2314yes—
375C2×#124C2312yes—
376C2×#124C2311yescharacteristic
377C2×#124C2312yes—
378C2×#124C2314yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381#525—216no—
382#525—216no—
383C2×#123—216no—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2314yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2311yescharacteristic
392C2×#123C2312yes—
393C2×#123C2311yescharacteristic
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2314yes—
398C2×#123C2312yes—
399C2×#123C2314yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×#121—216no—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2314yes—
438C2×#121C2312yes—
439C2×#121C2311yescharacteristic
440C2×#121C2312yes—
441C2×#121C2311yescharacteristic
442C2×#121C2314yes—
443C2×#121C2312yes—
444C2×#121C2311yescharacteristic
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#121C2314yes—
448C2×#121C2314yes—
449C2×#121C2314yes—
450C2×#121C2314yes—
451C2×#120C2314yes—
452C2×#120C2314yes—
453C2×#120C2314yes—
454C2×#120C2312yes—
455C2×#120C2312yes—
456C2×#120C2314yes—
457C2×#120C2312yes—
458C2×#120C2314yes—
459C2×#120C2312yes—
460C2×#120C2314yes—
461#520—28no—
462#518—28no—
463#518—216no—
464#518—216no—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×D4D4116yescomplemented
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2314yes—
497C2×C4×D4C2314yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2314yes—
501C2×C4×D4C2314yes—
502C2×C4×D4C2314yes—
503C2×C4×D4C2314yes—
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2311yescharacteristic
506C2×C4×D4C2312yes—
507C2×C4×D4C2311yescharacteristic
508C2×C4×D4C2312yes—
509C2×C4×D4C2311yescharacteristic
510C2×C4×D4C2312yes—
511C2×#117C2312yes—
512C2×#117C2311yescharacteristic
513C2×#117C2311yescharacteristic
514C2×#117C2312yes—
515C2×#117C2312yes—
516C2×#117C2311yescharacteristic
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2312yes—
520C2×#117C2312yes—
521C2×#117C2312yes—
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2314yes—
527C22×C4⋊C4C2311yescharacteristic
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2314yes—
530C22×C22⋊C4C2312yes—
531C22×C22⋊C4C2312yes—
532C22×C22⋊C4C2314yes—
533C22×C22⋊C4C2314yes—
534C22×C22⋊C4C2314yes—
535C22×C22⋊C4C2312yes—
536C22×C22⋊C4C2314yes—
537C22×C22⋊C4C2314yes—
538C22×C22⋊C4C2314yes—
539C22×C22⋊C4C2314yes—
540C22×C22⋊C4C2312yes—
541C22×C42C2314yes—
542C22×C42C2314yes—
543C22×C42C2311yescharacteristic
544#400C2312yes—
545#400C2311yescharacteristic
546#400C2311yescharacteristic
547#400C2314yes—
548#400C2312yes—
549#399C2312yes—
550#399C2311yescharacteristic
551#399C2314yes—
552#399C2311yescharacteristic
553#399C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2311yescharacteristic
560#398C2312yes—
561#398C2314yes—
562#398C2314yes—
563#398C2312yes—
564#398C2314yes—
565#398C2312yes—
566#398C2311yescharacteristic
567#397C2314yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2314yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2314yes—
576#397C2314yes—
577#397C2312yes—
578#397C2314yes—
579#397C2311yescharacteristic
580#397C2314yes—
581#397C2312yes—
582#397C2311yescharacteristic
583#396C2314yes—
584#396C2314yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#395C2311yescharacteristic
590#395C2312yes—
591#395C2311yescharacteristic
592#395C2314yes—
593#395C2314yes—
594#395C2312yes—
595#394C2314yes—
596#394C2312yes—
597#394C2312yes—
598#394C2312yes—
599#394C2314yes—
600#394C2312yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2312yes—
605#394C2312yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2312yes—
614#394C2314yes—
615#394C2314yes—
616#394C2312yes—
617#394C2311yescharacteristic
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2311yescharacteristic
629#393C2314yes—
630#393C2311yescharacteristic
631#393C2312yes—
632#393C2311yescharacteristic
633#393C2314yes—
634#393C2312yes—
635#392C2314yes—
636#392C2314yes—
637#392C2314yes—
638#392C2312yes—
639#392C2312yes—
640#392C2312yes—
641#392C2314yes—
642#392C2314yes—
643#392C2314yes—
644#392C2314yes—
645#392C2312yes—
646#392C2311yescharacteristic
647#392C2312yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#392C2314yes—
652#392C2314yes—
653#392C2314yes—
654#392C2314yes—
655#392C2314yes—
656#392C2312yes—
657#392C2312yes—
658#392C2311yescharacteristic
659#392C2312yes—
660#391C2314yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#390C2314yes—
666#390C2314yes—
667#390C2312yes—
668#390C2312yes—
669#390C2314yes—
670#390C2312yes—
671#390C2314yes—
672#390C2314yes—
673#390C2314yes—
674#390C2312yes—
675#390C2312yes—
676#390C2312yes—
677#390C2312yes—
678#390C2312yes—
679#390C2314yes—
680#390C2314yes—
681#390C2314yes—
682#390C2314yes—
683#390C2314yes—
684#390C2314yes—
685#390C2314yes—
686#390C2314yes—
687#390C2314yes—
688#390C2312yes—
689#390C2312yes—
690#390C2312yes—
691#390C2314yes—
692#390C2314yes—
693#390C2314yes—
694#390C2312yes—
695#389C2312yes—
696#389C2314yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2314yes—
702#389C2314yes—
703#389C2314yes—
704#389C2314yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2312yes—
715#388C2312yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2312yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2312yes—
736#388C2312yes—
737#388C2314yes—
738#388C2312yes—
739#388C2314yes—
740#388C2312yes—
741#388C2314yes—
742#388C2312yes—
743#387C2314yes—
744#387C2314yes—
745#387C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#384C2312yes—
781#384C2314yes—
782#382C2314yes—
783#382C2312yes—
784#381C2314yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2314yes—
792#380C2314yes—
793#379C2314yes—
794#379C2314yes—
795#379C2314yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2314yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843#376C2312yes—
844#376C2311yescharacteristic
845#376C2311yescharacteristic
846C2×#95C2314yes—
847C2×#95C2314yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C43C2312yes—
853C43C2312yes—
854C25C2412yes—
855C25C2414yes—
856C25C2412yes—
857C2×#41—24no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—28no—
861C2×#41—28no—
862C2×#41—84no—
863C2×#41—84no—
864C2×#41—82no—
865C2×#41—82no—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2412yes—
870C22×Q8C2412yes—
871C22×D4—28no—
872C22×D4—216no—
873C22×D4—28no—
874C22×D4—28no—
875C22×D4—24no—
876C22×D4—28no—
877C22×D4—28no—
878C22×D4—28no—
879C22×D4—28no—
880C22×D4—216no—
881C22×D4—84no—
882C22×D4—84no—
883C22×D4—84no—
884C22×D4—84no—
885C22×D4—84no—
886C22×D4—84no—
887C22×D4C2×D418yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2411yescharacteristic
895C22×D4C2414yes—
896C22×D4C2412yes—
897C22×D4C2411yescharacteristic
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2411yescharacteristic
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2411yescharacteristic
907C22×D4C2412yes—
908C22×D4C2411yescharacteristic
909C22×D4C2412yes—
910C22×D4C2414yes—
911C22×D4C2412yes—
912C22×D4C2414yes—
913C22×D4C2412yes—
914C22×D4C2414yes—
915C22×D4C2412yes—
916C22×D4C2414yes—
917C22×D4C2414yes—
918C22×D4C2414yes—
919C22×D4C2412yes—
920C22×D4C2411yescharacteristic
921C23×C4—84no—
922C23×C4C2×D4116yescomplemented
923C23×C4C2412yes—
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2412yes—
929C23×C4C2414yes—
930C23×C4C2414yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2412yes—
936C23×C4C2414yes—
937C23×C4C2414yes—
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2411yescharacteristic
941C23×C4C2412yes—
942C23×C4C2412yes—
943C23×C4C2412yes—
944C23×C4C2412yes—
945C23×C4C2411yescharacteristic
946C23×C4C2414yes—
947C4⋊Q8—24no—
948C4⋊Q8—24no—
949C4⋊Q8—82no—
950#127—28no—
951#127—24no—
952#127—24no—
953#127—28no—
954#127—84no—
955#127—82no—
956#126—28no—
957#126—216no—
958#126—28no—
959#126—28no—
960#126—28no—
961#126—28no—
962#126—24no—
963#126—24no—
964#125—28no—
965#125—24no—
966#125—28no—
967#125—24no—
968#125—24no—
969#125—24no—
970#124—24no—
971#124—216no—
972#124—28no—
973#124—28no—
974#124—24no—
975#124—24no—
976#124—24no—
977#124—28no—
978#124—28no—
979#124—84no—
980#124—82no—
981#124—82no—
982#123—28no—
983#123—24no—
984#123—28no—
985#123—28no—
986#123—28no—
987#123—28no—
988#123—28no—
989#123—28no—
990#123—28no—
991#123—24no—
992#123—216no—
993#123—28no—
994#123—216no—
995#123—28no—
996#123—28no—
997#123—28no—
998#123—216no—
999#123—28no—
1000#123—216no—
1001C22⋊Q8—24no—
1002C22⋊Q8—28no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—24no—
1006C22⋊Q8—24no—
1007C22⋊Q8—28no—
1008C22⋊Q8—24no—
1009C22⋊Q8—28no—
1010C22⋊Q8—216no—
1011C22⋊Q8—28no—
1012C22⋊Q8—28no—
1013#121—216no—
1014#121—28no—
1015#121—28no—
1016#121—28no—
1017#121—24no—
1018#121—24no—
1019#121—24no—
1020#121—28no—
1021#121—216no—
1022#121—216no—
1023#121—28no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—24no—
1029#121—24no—
1030#121—28no—
1031#121—216no—
1032#121—216no—
1033#121—28no—
1034#121—24no—
1035#121—28no—
1036#121—28no—
1037#121—28no—
1038#121—216no—
1039#121—28no—
1040#121—216no—
1041#121—28no—
1042#121—84no—
1043#121—84no—
1044#121—84no—
1045#121—84no—
1046#121—84no—
1047#121—84no—
1048#120—216no—
1049#120—28no—
1050#120—28no—
1051#120—216no—
1052#120—28no—
1053#120—216no—
1054#120—28no—
1055#120—216no—
1056#120—216no—
1057#120—216no—
1058C4×Q8—24no—
1059C4×Q8—24no—
1060C4×Q8—24no—
1061C4×Q8—24no—
1062C4×D4—28no—
1063C4×D4—24no—
1064C4×D4—24no—
1065C4×D4—28no—
1066C4×D4—216no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—216no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—24no—
1073C4×D4—28no—
1074C4×D4—24no—
1075C4×D4—28no—
1076C4×D4—216no—
1077C4×D4—24no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—216no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—216no—
1084C4×D4—24no—
1085C4×D4—28no—
1086C4×D4—24no—
1087C4×D4—24no—
1088C4×D4—28no—
1089C4×D4—28no—
1090C4×D4—28no—
1091C4×D4—28no—
1092C4×D4—84no—
1093C4×D4—84no—
1094C4×D4—84no—
1095C4×D4—84no—
1096C4×D4C2×D418yes—
1097C4×D4C2×D418yes—
1098C4×D4C2×D4116yescomplemented
1099C4×D4C2×D418yescomplemented
1100C4×D4C2×D4116yescomplemented
1101C4×D4C2×D418yescomplemented
1102C4×D4#41116yescomplemented
1103#117—28no—
1104#117—28no—
1105#117—24no—
1106#117—28no—
1107#117—28no—
1108#117—28no—
1109#117—28no—
1110#117—24no—
1111#117—24no—
1112#117—28no—
1113#117—28no—
1114C2×C4⋊C4—28no—
1115C2×C4⋊C4—28no—
1116C2×C4⋊C4—28no—
1117C2×C4⋊C4—24no—
1118C2×C4⋊C4—84no—
1119C2×C4⋊C4C2×D418yescomplemented
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2411yescharacteristic
1169C2×C4⋊C4C2411yescharacteristic
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C22⋊C4—28no—
1173C2×C22⋊C4—216no—
1174C2×C22⋊C4—28no—
1175C2×C22⋊C4—28no—
1176C2×C22⋊C4—216no—
1177C2×C22⋊C4—216no—
1178C2×C22⋊C4—216no—
1179C2×C22⋊C4—28no—
1180C2×C22⋊C4—216no—
1181C2×C22⋊C4—84no—
1182C2×C22⋊C4—84no—
1183C2×C22⋊C4—84no—
1184C2×C22⋊C4C2×D4116yescomplemented
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2411yescharacteristic
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2411yescharacteristic
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2411yescharacteristic
1218C2×C22⋊C4C2411yescharacteristic
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2411yescharacteristic
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2411yescharacteristic
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2411yescharacteristic
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2414yes—
1267C2×C42—84no—
1268C2×C42—84no—
1269C2×C42C2×D418yescomplemented
1270C2×C42C2414yes—
1271C2×C42C2412yes—
1272C2×C42C2412yes—
1273C2×C42C2412yes—
1274C2×C42C2411yescharacteristic
1275C2×C42C2412yes—
1276C2×C42C2411yescharacteristic
1277C2×C42C2412yes—
1278C2×C42C2414yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2414yes—
1282C2×C42C2414yes—
1283C2×C42C2412yes—
1284C2×C42C2414yes—
1285C2×C42C2412yes—
1286C2×C42C2414yes—
1287C2×C42C2412yes—
1288C2×C42C2412yes—
1289C2×C42C2414yes—
1290C2×C42C2411yescharacteristic
1291C2×C42C2411yescharacteristic
1292C2×C42C2411yescharacteristic
1293C2×C42C2411yescharacteristic
1294C2×C42C2412yes—
1295#95C2411yescharacteristic
1296#95C2412yes—
1297#95C2411yescharacteristic
1298#95C2411yescharacteristic
1299#95C2412yes—
1300#95C2411yescharacteristic
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2412yes—
1326#95C2414yes—
1327#95C2412yes—
1328#95C2414yes—
1329#95C2412yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2412yes—
1333#95C2412yes—
1334C24—28no—
1335C24—24no—
1336C24—28no—
1337C24—28no—
1338C24—28no—
1339C24—28no—
1340C24—44no—
1341C24—42no—
1342C24—42no—
1343C24—42no—
1344C24—44no—
1345C24—44no—
1346C24—44no—
1347C24—42no—
1348C24—44no—
1349C24—44no—
1350C24C22×D418yes—
1351C24C2511yescharacteristic
1352C24C2512yes—
1353C24C2512yes—
1354C24C2514yes—
1355C24C2511yescharacteristic
1356C24C2511yescharacteristic
1357C24C2512yes—
1358C24C2512yes—
1359#41—416no—
1360#41—816no—
1361#41—816no—
1362#41—816no—
1363C2×Q8—22no—
1364C2×Q8—22no—
1365C2×Q8—22no—
1366C2×Q8—24no—
1367C2×Q8—24no—
1368C2×Q8—24no—
1369C2×Q8—42no—
1370C2×Q8—41no—
1371C2×Q8—44no—
1372C2×Q8—42no—
1373C2×Q8—41no—
1374C2×Q8—42no—
1375C2×D4—28no—
1376C2×D4—232no—
1377C2×D4—28no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—22no—
1381C2×D4—28no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—22no—
1385C2×D4—28no—
1386C2×D4—28no—
1387C2×D4—28no—
1388C2×D4—28no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—28no—
1392C2×D4—28no—
1393C2×D4—24no—
1394C2×D4—28no—
1395C2×D4—24no—
1396C2×D4—22no—
1397C2×D4—24no—
1398C2×D4—22no—
1399C2×D4—24no—
1400C2×D4—22no—
1401C2×D4—24no—
1402C2×D4—28no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—28no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—28no—
1412C2×D4—28no—
1413C2×D4—28no—
1414C2×D4—28no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—42no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—41no—
1448C2×D4—44no—
1449C2×D4—42no—
1450C2×D4—42no—
1451C2×D4—41no—
1452C2×D4—44no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—44no—
1456C2×D4—42no—
1457C2×D4—432no—
1458C2×D4—416no—
1459C2×D4—816no—
1460C2×D4—832no—
1461C2×D4—816no—
1462C2×D4—832no—
1463C2×D4C22×D418yes—
1464C2×D4C22×D414yes—
1465C2×D4C22×D414yes—
1466C2×D4C2×#4118yes—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—28no—
1470C22×C4—24no—
1471C22×C4—28no—
1472C22×C4—24no—
1473C22×C4—28no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—28no—
1483C22×C4—28no—
1484C22×C4—24no—
1485C22×C4—24no—
1486C22×C4—28no—
1487C22×C4—28no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—42no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—41no—
1497C22×C4—41no—
1498C22×C4—44no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—42no—
1503C22×C4—44no—
1504C22×C4—44no—
1505C22×C4—42no—
1506C22×C4—44no—
1507C22×C4—42no—
1508C22×C4—42no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—816no—
1518C22×C4C22×D414yes—
1519C22×C4C22×D414yes—
1520C22×C4C22×D414yes—
1521C22×C4C22×D418yes—
1522C22×C4C22×D418yes—
1523C22×C4C22×D418yes—
1524C22×C4C22×D418yes—
1525C22×C4C22×D418yes—
1526C22×C4C2×#41116yes—
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2514yes—
1530C22×C4C2512yes—
1531C22×C4C2512yes—
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2514yes—
1535C22×C4C2512yes—
1536C22×C4C2512yes—
1537C22×C4C2512yes—
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C22×C4C2511yescharacteristic
1542C22×C4C2512yes—
1543C22×C4C2511yescharacteristic
1544C22×C4C2512yes—
1545C22×C4C2511yescharacteristic
1546C22×C4C2511yescharacteristic
1547C22×C4C2512yes—
1548C22×C4C2511yescharacteristic
1549C22×C4C2511yescharacteristic
1550C22×C4C2514yes—
1551C22×C4C2512yes—
1552C22×C4C2512yes—
1553C22×C4C2511yescharacteristic
1554C4⋊C4—24no—
1555C4⋊C4—22no—
1556C4⋊C4—22no—
1557C4⋊C4—22no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—22no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—28no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—22no—
1567C4⋊C4—22no—
1568C4⋊C4—24no—
1569C4⋊C4—22no—
1570C4⋊C4—22no—
1571C4⋊C4—24no—
1572C4⋊C4—22no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—22no—
1578C4⋊C4—22no—
1579C4⋊C4—24no—
1580C4⋊C4—28no—
1581C4⋊C4—24no—
1582C4⋊C4—22no—
1583C4⋊C4—22no—
1584C4⋊C4—24no—
1585C4⋊C4—22no—
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—24no—
1591C4⋊C4—28no—
1592C4⋊C4—42no—
1593C4⋊C4—44no—
1594C4⋊C4—44no—
1595C4⋊C4—44no—
1596C4⋊C4—42no—
1597C4⋊C4—44no—
1598C4⋊C4—44no—
1599C4⋊C4—42no—
1600C4⋊C4—42no—
1601C4⋊C4—44no—
1602C4⋊C4C22×D414yes—
1603C4⋊C4C22×D414yes—
1604C4⋊C4C22×D418yes—
1605C4⋊C4C2×#4118yes—
1606C22⋊C4—22no—
1607C22⋊C4—24no—
1608C22⋊C4—28no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—22no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—28no—
1619C22⋊C4—24no—
1620C22⋊C4—28no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—22no—
1624C22⋊C4—22no—
1625C22⋊C4—22no—
1626C22⋊C4—24no—
1627C22⋊C4—28no—
1628C22⋊C4—28no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—22no—
1634C22⋊C4—22no—
1635C22⋊C4—24no—
1636C22⋊C4—22no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—22no—
1640C22⋊C4—28no—
1641C22⋊C4—28no—
1642C22⋊C4—24no—
1643C22⋊C4—22no—
1644C22⋊C4—28no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—28no—
1649C22⋊C4—28no—
1650C22⋊C4—28no—
1651C22⋊C4—28no—
1652C22⋊C4—28no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—28no—
1657C22⋊C4—28no—
1658C22⋊C4—28no—
1659C22⋊C4—42no—
1660C22⋊C4—42no—
1661C22⋊C4—42no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—42no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—42no—
1677C22⋊C4—42no—
1678C22⋊C4—42no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—42no—
1683C22⋊C4C22×D418yes—
1684C22⋊C4C22×D418yes—
1685C22⋊C4C22×D418yes—
1686C22⋊C4C22×D418yes—
1687C22⋊C4C2×#41116yes—
1688C42—28no—
1689C42—24no—
1690C42—24no—
1691C42—24no—
1692C42—22no—
1693C42—24no—
1694C42—22no—
1695C42—28no—
1696C42—24no—
1697C42—42no—
1698C42—44no—
1699C42—42no—
1700C42—44no—
1701C42—44no—
1702C42—44no—
1703C42—44no—
1704C42—42no—
1705C42—42no—
1706C42—42no—
1707C42—42no—
1708C42C22×D414yes—
1709C42C22×D414yes—
1710C42C22×D414yes—
1711C42C22×D414yes—
1712C42C2×#4118yes—
1713C23—24no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—24no—
1718C23—24no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—21no—
1723C23—21no—
1724C23—216no—
1725C23—21no—
1726C23—22no—
1727C23—22no—
1728C23—21no—
1729C23—24no—
1730C23—22no—
1731C23—24no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—24no—
1736C23—24no—
1737C23—21no—
1738C23—22no—
1739C23—21no—
1740C23—22no—
1741C23—24no—
1742C23—22no—
1743C23—24no—
1744C23—24no—
1745C23—22no—
1746C23—21no—
1747C23—22no—
1748C23—24no—
1749C23—24no—
1750C23—22no—
1751C23—22no—
1752C23—22no—
1753C23—21no—
1754C23—48no—
1755C23—48no—
1756C23—48no—
1757C23—416no—
1758C23—88no—
1759C23—88no—
1760C23—88no—
1761C23—84no—
1762C23—88no—
1763C23—88no—
1764C23—88no—
1765C23—88no—
1766C23—84no—
1767C23—88no—
1768C23—88no—
1769C23—88no—
1770C23C23×D414yes—
1771C23C23×D412yes—
1772C23C23×D414yes—
1773C23C22×#4118yes—
1774C23C2611yescharacteristic
1775Q8—44no—
1776Q8—44no—
1777Q8—82no—
1778Q8—84no—
1779Q8—84no—
1780D4—216no—
1781D4—28no—
1782D4—416no—
1783D4—44no—
1784D4—48no—
1785D4—48no—
1786D4—44no—
1787D4—48no—
1788D4—48no—
1789D4—416no—
1790D4—44no—
1791D4—416no—
1792D4—48no—
1793D4—48no—
1794D4—44no—
1795D4—48no—
1796D4—88no—
1797D4—82no—
1798D4—84no—
1799D4—88no—
1800D4—88no—
1801D4—88no—
1802D4—88no—
1803D4—84no—
1804D4—84no—
1805D4—84no—
1806D4—84no—
1807D4—84no—
1808D4—84no—
1809D4—88no—
1810D4—88no—
1811D4—88no—
1812D4#532116yes—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—24no—
1817C2×C4—22no—
1818C2×C4—24no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—24no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—22no—
1825C2×C4—24no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—28no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—21no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—24no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—24no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—24no—
1856C2×C4—21no—
1857C2×C4—22no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—24no—
1862C2×C4—24no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—21no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—24no—
1870C2×C4—21no—
1871C2×C4—44no—
1872C2×C4—48no—
1873C2×C4—48no—
1874C2×C4—48no—
1875C2×C4—48no—
1876C2×C4—48no—
1877C2×C4—44no—
1878C2×C4—416no—
1879C2×C4—48no—
1880C2×C4—48no—
1881C2×C4—44no—
1882C2×C4—44no—
1883C2×C4—88no—
1884C2×C4—84no—
1885C2×C4—88no—
1886C2×C4—84no—
1887C2×C4—84no—
1888C2×C4—88no—
1889C2×C4—88no—
1890C2×C4—84no—
1891C2×C4—88no—
1892C2×C4—84no—
1893C2×C4—88no—
1894C2×C4C23×D414yes—
1895C2×C4C23×D412yes—
1896C2×C4C23×D412yes—
1897C2×C4C23×D412yes—
1898C2×C4C23×D412yes—
1899C2×C4C23×D412yes—
1900C2×C4C23×D414yes—
1901C2×C4C23×D412yes—
1902C2×C4C22×#4118yes—
1903C2×C4C22×#4114yes—
1904C2×C4C22×#4114yes—
1905C2×C4C22×#4114yes—
1906C22—24no—
1907C22—28no—
1908C22—24no—
1909C22—28no—
1910C22—22no—
1911C22—24no—
1912C22—22no—
1913C22—24no—
1914C22—22no—
1915C22—24no—
1916C22—44no—
1917C22—42no—
1918C22—44no—
1919C22—42no—
1920C22—41no—
1921C22—44no—
1922C22—42no—
1923C22—42no—
1924C22—41no—
1925C22—42no—
1926C22—42no—
1927C22—44no—
1928C22—44no—
1929C22—42no—
1930C22—44no—
1931C22—42no—
1932C22—44no—
1933C22—42no—
1934C22—42no—
1935C22—41no—
1936C22—41no—
1937C22—42no—
1938C22—44no—
1939C22—44no—
1940C22—42no—
1941C22—44no—
1942C22—42no—
1943C22—42no—
1944C22—41no—
1945C22—41no—
1946C22—42no—
1947C22—42no—
1948C22—44no—
1949C22—816no—
1950C22—168no—
1951C22—1616no—
1952C22C2×#53218yes—
1953C22C24×D411yescharacteristic
1954C22C23×#4112yes—
1955C22H(7,𝔽2)12yes—
1956C22H(7,𝔽2)11yescharacteristic
1957C22H(7,𝔽2)11yescharacteristic
1958C4—22no—
1959C4—22no—
1960C4—24no—
1961C4—24no—
1962C4—24no—
1963C4—28no—
1964C4—22no—
1965C4—22no—
1966C4—24no—
1967C4—22no—
1968C4—41no—
1969C4—42no—
1970C4—41no—
1971C4—42no—
1972C4—42no—
1973C4—42no—
1974C4—44no—
1975C4—42no—
1976C4—41no—
1977C4—41no—
1978C4—44no—
1979C4—42no—
1980C4—41no—
1981C4—42no—
1982C4—41no—
1983C4—42no—
1984C4C2×#53214yes—
1985C2—28no—
1986C2—44no—
1987C2—42no—
1988C2—81no—
1989C2—82no—
1990C2—84no—
1991C2—81no—
1992C2—82no—
1993C2C22×#53211yescharacteristic
1994C2#6284211yescharacteristic
1995C2#6284612yes—
1996C2#6285211yescharacteristic
1997C2#6285812yes—
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. C2×#3519C2semidirect
2. C2×#3513C2semidirect
3. #36062C2semidirect
4. #36051C2semidirect
5. #36015C2semidirect
6. #35953C2semidirect
7. #35950C2semidirect
8. #35941C2semidirect
9. #35930C2semidirect
10. #35922C2semidirect
11. #35921C2semidirect
12. #35906C2semidirect
13. #35903C2semidirect
14. #35850C2semidirect
15. #35847C2semidirect
16. #35768C2semidirect
17. #35764C2semidirect
18. #35761C2semidirect
19. #35694C2semidirect
20. #35691C2semidirect
21. #35212C2semidirect
22. #35191C2semidirect
23. #35171C2semidirect
24. #35169C2semidirect
25. #35078C2semidirect
26. #35064C2semidirect
27. #35009C2semidirect
28. #35007C2semidirect
29. #34643C2semidirect
30. #34624C2semidirect
31. #34575C2semidirect
32. C2×#2661C2semidirect
33. #34310C2semidirect
34. #34309C2semidirect
35. C4×#518C2semidirect
38. C2×#559C22semidirect
39. C2×#555C22semidirect
42. C2×#553C22semidirect
43. C2×#553C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
46. C2×#552C22semidirect
47. C2×#551C22semidirect
48. C2×#551C22semidirect
49. C2×#550C22semidirect
50. C2×#547C22semidirect
54. C2×#546C22semidirect
55. C2×#546C22semidirect
56. C2×#546C22semidirect
61. C2×#542C22semidirect
62. C2×#540C22semidirect
63. C2×#540C22semidirect
64. C2×#539C22semidirect
65. C2×#538C22semidirect
66. C2×#538C22semidirect
67. C2×#532C22semidirect
68. C2×#529C22semidirect
69. C2×#529C22semidirect
70. C2×#529C22semidirect
71. C2×#525C22semidirect
72. C2×#525C22semidirect
73. C22×#123C22semidirect
74. C22×#121C22semidirect
80. #2861C22semidirect
81. #2860C22semidirect
82. #2858C22semidirect
83. #2856C22semidirect
84. #2854C22semidirect
85. #2854C22semidirect
86. #2850C22semidirect
87. #2664C22semidirect
88. #2664C22semidirect
89. #2664C22semidirect
90. #2663C22semidirect
91. #2663C22semidirect
92. #2663C22semidirect
93. #2663C22semidirect
94. #2663C22semidirect
95. #2662C22semidirect
96. #2662C22semidirect
97. #2662C22semidirect
98. #2662C22semidirect
100. #2661C22semidirect
101. #2661C22semidirect
102. #2661C22semidirect
103. #2661C22semidirect
104. #2661C22semidirect
105. #2661C22semidirect
106. #2661C22semidirect
107. #2661C22semidirect
108. #2661C22semidirect
109. #2661C22semidirect
110. #2661C22semidirect
111. #2661C22semidirect
112. #2661C22semidirect
113. #2661C22semidirect
114. #2661C22semidirect
115. #2661C22semidirect
116. #2660C22semidirect
117. #2659C22semidirect
118. #2657C22semidirect
119. #2656C22semidirect
120. #2641C22semidirect
121. #2640C22semidirect
122. #2639C22semidirect
123. #2639C22semidirect
124. #2620C22semidirect
125. #2619C22semidirect
126. #2617C22semidirect
127. #2617C22semidirect
128. #2611C22semidirect
129. #2610C22semidirect
130. #2603C22semidirect
131. #2603C22semidirect
132. #2602C22semidirect
133. #2602C22semidirect
134. #2602C22semidirect
135. #2592C22semidirect
136. #2591C22semidirect
137. #2584C22semidirect
138. #2583C22semidirect
139. #2562C22semidirect
140. #2561C22semidirect
141. #2560C22semidirect
142. #2559C22semidirect
143. #2559C22semidirect
144. #2558C22semidirect
145. #2557C22semidirect
146. #2557C22semidirect
147. #2555C22semidirect
148. #2555C22semidirect
149. #2555C22semidirect
150. #2554C22semidirect
151. #2554C22semidirect
152. #2553C22semidirect
153. #2552C22semidirect
154. #2550C22semidirect
155. #2549C22semidirect
156. #2548C22semidirect
157. #2547C22semidirect
158. #2546C22semidirect
159. #2544C22semidirect
160. #2543C22semidirect
161. #2543C22semidirect
162. #2543C22semidirect
163. #2543C22semidirect
164. #2543C22semidirect
165. #2541C22semidirect
166. #2541C22semidirect
167. #2541C22semidirect
168. #2540C22semidirect
169. #2540C22semidirect
170. #2539C22semidirect
171. #2539C22semidirect
172. #2537C22semidirect
173. #2535C22semidirect
174. #2534C22semidirect
175. #2521C22semidirect
176. #2519C22semidirect
177. #2512C22semidirect
178. #2504C22semidirect
179. #2502C22semidirect
180. #2500C22semidirect
181. #2498C22semidirect
182. #2498C22semidirect
183. #2491C22semidirect
184. #2491C22semidirect
185. #2490C22semidirect
186. #2490C22semidirect
187. #2489C22semidirect
188. #2488C22semidirect
189. #2472C22semidirect
190. #2472C22semidirect
191. #2472C22semidirect
192. #2464C22semidirect
193. #2464C22semidirect
194. #2464C22semidirect
195. #2461C22semidirect
196. #2445C22semidirect
197. #2440C22semidirect
198. #2435C22semidirect
199. #2433C22semidirect
200. #2433C22semidirect
201. #2432C22semidirect
202. #2431C22semidirect
203. #2431C22semidirect
204. #2430C22semidirect
205. #2430C22semidirect
206. #2428C22semidirect
207. #2428C22semidirect
208. #2428C22semidirect
209. #2428C22semidirect
210. #2428C22semidirect
211. #2427C22semidirect
212. #2425C22semidirect
213. #2424C22semidirect
214. #2424C22semidirect
215. #2424C22semidirect
216. #2422C22semidirect
217. #2416C22semidirect
218. #2415C22semidirect
219. #2414C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
222. #2412C22semidirect
223. #2410C22semidirect
224. #2410C22semidirect
225. #2410C22semidirect
226. #2408C22semidirect
227. #2399C22semidirect
228. #2398C22semidirect
229. #2398C22semidirect
230. #2397C22semidirect
231. #2395C22semidirect
232. #2395C22semidirect
233. #2395C22semidirect
234. #2392C22semidirect
235. #2392C22semidirect
236. #2392C22semidirect
237. #2392C22semidirect
238. C2×#398C22semidirect
239. C2×#397C22semidirect
240. #2388C22semidirect
241. #2388C22semidirect
242. #2388C22semidirect
243. #2388C22semidirect
244. C2×#394C22semidirect
245. C2×#394C22semidirect
246. C2×#392C22semidirect
247. C2×#392C22semidirect
248. #2367C22semidirect
249. #2366C22semidirect
250. #2364C22semidirect
251. #2363C22semidirect
252. #2363C22semidirect
253. #2362C22semidirect
254. #2361C22semidirect
255. #2361C22semidirect
256. #2359C22semidirect
257. #2358C22semidirect
258. #2358C22semidirect
259. #2358C22semidirect
260. #2354C22semidirect
261. #2352C22semidirect
264. #2342C22semidirect
269. D4×C22⋊C4C22semidirect
270. #2324C22semidirect
271. #2324C22semidirect
272. #2324C22semidirect
273. #2323C22semidirect
274. #2322C22semidirect
275. #2321C22semidirect
276. #2321C22semidirect
277. #2321C22semidirect
278. C4×#127C22semidirect
279. C4×#124C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. #2293C22semidirect
283. #2293C22semidirect
284. C2×#390C22semidirect
285. C2×#388C22semidirect
288. #2275C22semidirect
289. #2275C22semidirect
290. #2275C22semidirect
291. #2275C22semidirect
292. #2274C22semidirect
293. #2273C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect
299. C2×C4×C22⋊C4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
469. C2×C4×D4D4semidirect
922. C23×C4C2×D4semidirect
1098. C4×D4C2×D4semidirect
1099. C4×D4C2×D4semidirect
1100. C4×D4C2×D4semidirect
1101. C4×D4C2×D4semidirect
1102. C4×D4#41semidirect
1119. C2×C4⋊C4C2×D4semidirect
1184. C2×C22⋊C4C2×D4semidirect
1269. C2×C42C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
C2×#35132
#360622
#360512
#360152
#359532
#359502
#359412
#359302
#359222
#359212
#359062
#359032
#358502
#358472
#357682
#357642
#357612
#356942
#356912
#352122
#351912
#351712
#351692
#350782
#350642
#350092
#350072
#346432
#346242
#345752
C2×#26612
#343102
#343092
C4×#5182