Finite Group Databasebeta

← C2×#35863 #7629340

Subgroups — C2×#35863 #7629340

Order 512.

7028 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35863C2132yesmaximal, direct product factor
2C2×#2597C211yesmaximal, characteristic, complemented
3C2×#2595C211yesmaximal, characteristic, complemented
4C2×#2558C211yesmaximal, characteristic, complemented
5C2×#2557C211yesmaximal, characteristic, complemented
6C2×#2556C211yesmaximal, characteristic, complemented
7C2×#2555C211yesmaximal, characteristic, complemented
8C2×#2539C211yesmaximal, characteristic, complemented
9C2×#2490C211yesmaximal, characteristic, complemented
10C2×#2522C211yesmaximal, characteristic, complemented
11C2×#2411C211yesmaximal, characteristic, complemented
12C2×#2471C211yesmaximal, characteristic, complemented
13C2×#2470C211yesmaximal, characteristic, complemented
14C2×#2426C211yesmaximal, characteristic, complemented
15C2×#2464C211yesmaximal, characteristic, complemented
16C2×#2472C211yesmaximal, characteristic, complemented
17C2×#2424C211yesmaximal, characteristic, complemented
18C2×#2424C211yesmaximal, characteristic, complemented
19C2×#2418C211yesmaximal, characteristic, complemented
20C2×#2661C211yesmaximal, characteristic, complemented
21C2×#2649C211yesmaximal, characteristic, complemented
22C2×#2648C211yesmaximal, characteristic, complemented
23C2×#2396C211yesmaximal, characteristic, complemented
24C2×#2395C211yesmaximal, characteristic, complemented
25C2×#2392C211yesmaximal, characteristic, complemented
26C2×#2374C211yesmaximal, characteristic, complemented
27C2×#2374C211yesmaximal, characteristic, complemented
28C2×#2367C211yesmaximal, characteristic, complemented
29C2×#2363C211yesmaximal, characteristic, complemented
30C2×#2363C211yesmaximal, characteristic, complemented
31C2×#2363C211yesmaximal, characteristic, complemented
32C2×#2273C211yesmaximal, characteristic, complemented
33C22×#125C2211yescharacteristic, complemented
34C22×#124C2211yescharacteristic
35C22×#124C2211yescharacteristic, complemented
36C22×#123C2211yescharacteristic
37C22×#123C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C22×#120C2211yescharacteristic
47C22×#120C2211yescharacteristic
48C22×#120C2211yescharacteristic
49C22×C4×Q8C2211yescharacteristic, complemented
50C22×C4×D4C2211yescharacteristic
51C22×C4×D4C2211yescharacteristic
52C22×C4×D4C2211yescharacteristic
53C22×C4×D4C2211yescharacteristic, complemented
54C22×#117C2211yescharacteristic
55C22×#117C2211yescharacteristic, complemented
56C22×#117C2211yescharacteristic, complemented
57C23×C22⋊C4C2211yescharacteristic
58C23×C22⋊C4C2211yescharacteristic
59C23×C22⋊C4C2211yescharacteristic
60#2661C22116yescomplemented
61#2649C22116yescomplemented
62#2648C22116yescomplemented
63#2597C22116yescomplemented
64#2595C22116yescomplemented
65#2558C22116yescomplemented
66#2557C22116yescomplemented
67#2556C22116yescomplemented
68#2555C22116yescomplemented
69#2539C22116yescomplemented
70#2522C22116yescomplemented
71#2490C22116yescomplemented
72#2472C22116yescomplemented
73#2471C22116yescomplemented
74#2470C22116yescomplemented
75#2464C22116yescomplemented
76#2426C22116yescomplemented
77#2424C22116yescomplemented
78#2424C22116yescomplemented
79#2418C22116yescomplemented
80#2411C22116yescomplemented
81#2396C22116yescomplemented
82#2395C22116yescomplemented
83C2×#400C2211yescharacteristic, complemented
84C2×#400C2211yescharacteristic, complemented
85C2×#400C2211yescharacteristic, complemented
86C2×#399C2211yescharacteristic
87C2×#399C2211yescharacteristic
88C2×#399C2211yescharacteristic
89#2392C22116yescomplemented
90C2×#398C2211yescharacteristic, complemented
91C2×#398C2211yescharacteristic, complemented
92C2×#398C2211yescharacteristic, complemented
93C2×#397C2211yescharacteristic
94C2×#397C2211yescharacteristic
95C2×#397C2211yescharacteristic, complemented
96C2×#397C2211yescharacteristic, complemented
97C2×#397C2211yescharacteristic, complemented
98C2×#397C2211yescharacteristic, complemented
99C2×#397C2211yescharacteristic, complemented
100C2×#396C2211yescharacteristic
101C2×#396C2211yescharacteristic
102C2×#396C2211yescharacteristic
103C2×#396C2211yescharacteristic
104C2×#396C2211yescharacteristic, complemented
105C2×#396C2211yescharacteristic, complemented
106C2×#395C2211yescharacteristic, complemented
107C2×#394C2211yescharacteristic
108C2×#394C2211yescharacteristic
109C2×#394C2211yescharacteristic
110C2×#394C2211yescharacteristic
111C2×#394C2211yescharacteristic
112C2×#394C2211yescharacteristic
113C2×#394C2211yescharacteristic
114C2×#394C2211yescharacteristic
115C2×#394C2211yescharacteristic
116C2×#394C2211yescharacteristic
117C2×#394C2211yescharacteristic, complemented
118C2×#393C2211yescharacteristic
119C2×#392C2211yescharacteristic
120C2×#392C2211yescharacteristic
121C2×#392C2211yescharacteristic
122C2×#392C2211yescharacteristic
123C2×#392C2211yescharacteristic, complemented
124#2374C22116yescomplemented
125#2374C22116yescomplemented
126#2367C22116yescomplemented
127#2363C22116yescomplemented
128#2363C22116yescomplemented
129#2363C22116yescomplemented
130C2×#391C2211yescharacteristic, complemented
131C2×#390C2211yescharacteristic
132C2×#390C2211yescharacteristic
133C2×#390C2211yescharacteristic
134C2×#390C2211yescharacteristic
135C2×#390C2211yescharacteristic
136C2×#390C2211yescharacteristic
137C2×#390C2211yescharacteristic
138C2×#390C2211yescharacteristic
139C2×#390C2211yescharacteristic
140C2×#390C2211yescharacteristic, complemented
141C2×#390C2211yescharacteristic, complemented
142C2×#390C2211yescharacteristic, complemented
143C2×#390C2211yescharacteristic, complemented
144C2×#389C2211yescharacteristic, complemented
145C2×#389C2211yescharacteristic, complemented
146C2×#389C2211yescharacteristic, complemented
147C2×#389C2211yescharacteristic, complemented
148C2×#388C2211yescharacteristic
149C2×#388C2211yescharacteristic
150C2×#388C2211yescharacteristic
151C2×#388C2211yescharacteristic
152C2×#388C2211yescharacteristic
153C2×#388C2211yescharacteristic
154C2×#388C2211yescharacteristic
155C2×#388C2211yescharacteristic
156C2×#388C2211yescharacteristic, complemented
157C2×#388C2211yescharacteristic, complemented
158C2×#388C2211yescharacteristic, complemented
159C2×#388C2211yescharacteristic, complemented
160C2×#388C2211yescharacteristic, complemented
161C2×#388C2211yescharacteristic, complemented
162C2×#388C2211yescharacteristic, complemented
163C2×#388C2211yescharacteristic, complemented
164C2×#388C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic, complemented
166C2×#388C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic, complemented
168C2×#387C2211yescharacteristic, complemented
169C2×#387C2211yescharacteristic, complemented
170C2×#387C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#387C2211yescharacteristic, complemented
173C2×#387C2211yescharacteristic, complemented
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic, complemented
184C2×#386C2211yescharacteristic, complemented
185C2×#385C2211yescharacteristic
186C2×#385C2211yescharacteristic
187C2×#385C2211yescharacteristic
188C2×#385C2211yescharacteristic
189C2×#385C2211yescharacteristic, complemented
190C2×#380C2211yescharacteristic
191C2×#379C2211yescharacteristic
192#2273C22116yescomplemented
193C2×C4×C4⋊C4C2211yescharacteristic, complemented
194C2×C4×C4⋊C4C2211yescharacteristic, complemented
195C2×C4×C4⋊C4C2211yescharacteristic, complemented
196C2×C4×C4⋊C4C2211yescharacteristic, complemented
197C2×C4×C4⋊C4C2211yescharacteristic, complemented
198C2×C4×C4⋊C4C2211yescharacteristic, complemented
199C2×C4×C4⋊C4C2211yescharacteristic, complemented
200C2×C4×C22⋊C4C2211yescharacteristic
201C2×C4×C22⋊C4C2211yescharacteristic
202C2×C4×C22⋊C4C2211yescharacteristic
203C2×C4×C22⋊C4C2211yescharacteristic
204C2×C4×C22⋊C4C2211yescharacteristic
205C2×C4×C22⋊C4C2211yescharacteristic
206C2×C4×C22⋊C4C2211yescharacteristic
207C2×C4×C22⋊C4C2211yescharacteristic
208C2×C4×C22⋊C4C2211yescharacteristic
209C2×C4×C22⋊C4C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C2×#125—44no—
243C2×#125C2318yescomplemented
244C2×#124—28no—
245C2×#124—44no—
246C2×#124C2318yes—
247C2×#124C2318yescomplemented
248C2×#123—28no—
249C2×#123—28no—
250C2×#123—44no—
251C2×#123—44no—
252C2×#123C2318yes—
253C2×#123C2318yes—
254C2×#123C2318yes—
255C2×#123C2318yes—
256C2×C22⋊Q8—44no—
257C2×C22⋊Q8C2318yes—
258C2×#121—28no—
259C2×#121—28no—
260C2×#121—28no—
261C2×#121—44no—
262C2×#121—44no—
263C2×#121C2318yes—
264C2×#121C2318yes—
265C2×#121C2318yes—
266C2×#121C2318yes—
267C2×#121C2318yes—
268C2×#120—44no—
269C2×#120—44no—
270C2×#120—44no—
271C2×#120C2318yes—
272C2×#120C2318yes—
273C2×#120C2318yes—
274C2×C4×Q8—44no—
275C2×C4×Q8C2318yescomplemented
276C2×C4×D4—44no—
277C2×C4×D4—44no—
278C2×C4×D4—44no—
279C2×C4×D4—44no—
280C2×C4×D4C2318yes—
281C2×C4×D4C2318yes—
282C2×C4×D4C2318yes—
283C2×C4×D4C2318yescomplemented
284C2×#117—44no—
285C2×#117—44no—
286C2×#117—44no—
287C2×#117C2318yes—
288C2×#117C2318yescomplemented
289C2×#117C2318yescomplemented
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C22⋊C4—28no—
318C22×C22⋊C4—28no—
319C22×C22⋊C4—28no—
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2318yes—
343C22×C22⋊C4C2318yes—
344C22×C22⋊C4C2318yes—
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394#400C2318yescomplemented
395#400C2318yescomplemented
396#400C2318yescomplemented
397#399C2318yes—
398#399C2318yes—
399#399C2318yes—
400#398C2318yescomplemented
401#398C2318yescomplemented
402#398C2318yescomplemented
403#397C2318yes—
404#397C2318yes—
405#397C2318yescomplemented
406#397C2318yescomplemented
407#397C2318yescomplemented
408#397C2318yescomplemented
409#397C2318yescomplemented
410#396C2318yes—
411#396C2318yes—
412#396C2318yes—
413#396C2318yes—
414#396C2318yescomplemented
415#396C2318yescomplemented
416#395C2318yescomplemented
417#394C2318yes—
418#394C2318yes—
419#394C2318yes—
420#394C2318yes—
421#394C2318yes—
422#394C2318yes—
423#394C2318yes—
424#394C2318yes—
425#394C2318yes—
426#394C2318yes—
427#394C2318yescomplemented
428#393C2318yes—
429#392C2318yes—
430#392C2318yes—
431#392C2318yes—
432#392C2318yes—
433#392C2318yescomplemented
434#391C2318yescomplemented
435#390C2318yes—
436#390C2318yes—
437#390C2318yes—
438#390C2318yes—
439#390C2318yes—
440#390C2318yes—
441#390C2318yes—
442#390C2318yes—
443#390C2318yes—
444#390C2318yescomplemented
445#390C2318yescomplemented
446#390C2318yescomplemented
447#390C2318yescomplemented
448#389C2318yescomplemented
449#389C2318yescomplemented
450#389C2318yescomplemented
451#389C2318yescomplemented
452#388C2318yes—
453#388C2318yes—
454#388C2318yes—
455#388C2318yes—
456#388C2318yes—
457#388C2318yes—
458#388C2318yes—
459#388C2318yes—
460#388C2318yescomplemented
461#388C2318yescomplemented
462#388C2318yescomplemented
463#388C2318yescomplemented
464#388C2318yescomplemented
465#388C2318yescomplemented
466#388C2318yescomplemented
467#388C2318yescomplemented
468#388C2318yescomplemented
469#388C2318yescomplemented
470#388C2318yescomplemented
471#388C2318yescomplemented
472#387C2318yescomplemented
473#387C2318yescomplemented
474#387C2318yescomplemented
475#387C2318yescomplemented
476#387C2318yescomplemented
477#387C2318yescomplemented
478#386C2318yes—
479#386C2318yes—
480#386C2318yes—
481#386C2318yes—
482#386C2318yes—
483#386C2318yes—
484#386C2318yes—
485#386C2318yes—
486#386C2318yes—
487#386C2318yescomplemented
488#386C2318yescomplemented
489#385C2318yes—
490#385C2318yes—
491#385C2318yes—
492#385C2318yes—
493#385C2318yescomplemented
494#380C2318yes—
495#379C2318yes—
496C4×C4⋊C4C2318yescomplemented
497C4×C4⋊C4C2318yescomplemented
498C4×C4⋊C4C2318yescomplemented
499C4×C4⋊C4C2318yescomplemented
500C4×C4⋊C4C2318yescomplemented
501C4×C4⋊C4C2318yescomplemented
502C4×C4⋊C4C2318yescomplemented
503C4×C22⋊C4C2318yes—
504C4×C22⋊C4C2318yes—
505C4×C22⋊C4C2318yes—
506C4×C22⋊C4C2318yes—
507C4×C22⋊C4C2318yes—
508C4×C22⋊C4C2318yes—
509C4×C22⋊C4C2318yes—
510C4×C22⋊C4C2318yes—
511C4×C22⋊C4C2318yes—
512C4×C22⋊C4C2318yes—
513C4×C22⋊C4C2318yes—
514C4×C22⋊C4C2318yes—
515C4×C22⋊C4C2318yes—
516C4×C22⋊C4C2318yes—
517C4×C22⋊C4C2318yescomplemented
518C4×C22⋊C4C2318yescomplemented
519C4×C22⋊C4C2318yescomplemented
520C4×C22⋊C4C2318yescomplemented
521C4×C22⋊C4C2318yescomplemented
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C25—24no—
557C25—24no—
558C25—24no—
559C25—42no—
560C25—42no—
561C25—42no—
562C25—42no—
563C25C2411yescharacteristic
564C25C2411yescharacteristic
565C25C2411yescharacteristic
566C25C2411yescharacteristic
567C25C2411yescharacteristic
568C25C2411yescharacteristic
569C25C2414yes—
570C22×Q8—24no—
571C22×Q8—24no—
572C22×Q8—42no—
573C22×Q8C2414yes—
574C22×D4—24no—
575C22×D4—24no—
576C22×D4—24no—
577C22×D4—24no—
578C22×D4—24no—
579C22×D4—24no—
580C22×D4—24no—
581C22×D4—24no—
582C22×D4—24no—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—24no—
587C22×D4—24no—
588C22×D4—24no—
589C22×D4—42no—
590C22×D4—42no—
591C22×D4—42no—
592C22×D4—42no—
593C22×D4—42no—
594C22×D4—42no—
595C22×D4—42no—
596C22×D4—42no—
597C22×D4—42no—
598C22×D4—42no—
599C22×D4—42no—
600C22×D4—42no—
601C22×D4—42no—
602C22×D4—42no—
603C22×D4—42no—
604C22×D4—42no—
605C22×D4—42no—
606C22×D4—42no—
607C22×D4—42no—
608C22×D4—42no—
609C22×D4—42no—
610C22×D4C2414yes—
611C22×D4C2414yes—
612C22×D4C2414yes—
613C22×D4C2414yes—
614C22×D4C2414yes—
615C22×D4C2414yes—
616C22×D4C2414yes—
617C22×D4C2414yes—
618C22×D4C2414yes—
619C22×D4C2414yes—
620C22×D4C2414yes—
621C22×D4C2414yes—
622C23×C4—24no—
623C23×C4—24no—
624C23×C4—24no—
625C23×C4—24no—
626C23×C4—24no—
627C23×C4—24no—
628C23×C4—24no—
629C23×C4—24no—
630C23×C4—24no—
631C23×C4—24no—
632C23×C4—42no—
633C23×C4—42no—
634C23×C4—42no—
635C23×C4—42no—
636C23×C4—42no—
637C23×C4—42no—
638C23×C4—42no—
639C23×C4—42no—
640C23×C4—42no—
641C23×C4—42no—
642C23×C4—42no—
643C23×C4—42no—
644C23×C4—42no—
645C23×C4—42no—
646C23×C4—42no—
647C23×C4—42no—
648C23×C4#4118yes—
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2414yes—
666C23×C4C2414yes—
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2414yes—
677C23×C4C2414yes—
678C23×C4C2414yes—
679C23×C4C2414yes—
680C23×C4C2414yes—
681C23×C4C2414yes—
682C23×C4C2414yes—
683#125—416no—
684#124—232no—
685#124—416no—
686#123—232no—
687#123—232no—
688#123—416no—
689#123—416no—
690C22⋊Q8—416no—
691#121—232no—
692#121—232no—
693#121—232no—
694#121—416no—
695#121—416no—
696#120—416no—
697#120—416no—
698#120—416no—
699C4×Q8—416no—
700C4×D4—416no—
701C4×D4—416no—
702C4×D4—416no—
703C4×D4—416no—
704#117—416no—
705#117—416no—
706#117—416no—
707C2×C4⋊C4—24no—
708C2×C4⋊C4—24no—
709C2×C4⋊C4—24no—
710C2×C4⋊C4—24no—
711C2×C4⋊C4—24no—
712C2×C4⋊C4—24no—
713C2×C4⋊C4—24no—
714C2×C4⋊C4—24no—
715C2×C4⋊C4—24no—
716C2×C4⋊C4—24no—
717C2×C4⋊C4—24no—
718C2×C4⋊C4—24no—
719C2×C4⋊C4—24no—
720C2×C4⋊C4—24no—
721C2×C4⋊C4—24no—
722C2×C4⋊C4—24no—
723C2×C4⋊C4—42no—
724C2×C4⋊C4—42no—
725C2×C4⋊C4—42no—
726C2×C4⋊C4—42no—
727C2×C4⋊C4—42no—
728C2×C4⋊C4—42no—
729C2×C4⋊C4—42no—
730C2×C4⋊C4—42no—
731C2×C4⋊C4—42no—
732C2×C4⋊C4—42no—
733C2×C4⋊C4—42no—
734C2×C4⋊C4C2414yes—
735C2×C4⋊C4C2414yes—
736C2×C4⋊C4C2414yes—
737C2×C4⋊C4C2414yes—
738C2×C4⋊C4C2414yes—
739C2×C4⋊C4C2414yes—
740C2×C4⋊C4C2414yes—
741C2×C4⋊C4C2414yes—
742C2×C4⋊C4C2414yes—
743C2×C4⋊C4C2414yes—
744C2×C4⋊C4C2414yes—
745C2×C4⋊C4C2414yes—
746C2×C4⋊C4C2414yes—
747C2×C4⋊C4C2414yes—
748C2×C4⋊C4C2414yes—
749C2×C4⋊C4C2414yes—
750C2×C4⋊C4C2414yes—
751C2×C4⋊C4C2414yes—
752C2×C4⋊C4C2414yes—
753C2×C4⋊C4C2414yes—
754C2×C4⋊C4C2414yes—
755C2×C4⋊C4C2414yes—
756C2×C4⋊C4C2414yes—
757C2×C4⋊C4C2414yes—
758C2×C4⋊C4C2414yes—
759C2×C4⋊C4C2414yes—
760C2×C4⋊C4C2414yes—
761C2×C22⋊C4—24no—
762C2×C22⋊C4—24no—
763C2×C22⋊C4—24no—
764C2×C22⋊C4—24no—
765C2×C22⋊C4—24no—
766C2×C22⋊C4—24no—
767C2×C22⋊C4—24no—
768C2×C22⋊C4—24no—
769C2×C22⋊C4—24no—
770C2×C22⋊C4—24no—
771C2×C22⋊C4—24no—
772C2×C22⋊C4—24no—
773C2×C22⋊C4—24no—
774C2×C22⋊C4—232no—
775C2×C22⋊C4—24no—
776C2×C22⋊C4—24no—
777C2×C22⋊C4—24no—
778C2×C22⋊C4—24no—
779C2×C22⋊C4—24no—
780C2×C22⋊C4—24no—
781C2×C22⋊C4—24no—
782C2×C22⋊C4—24no—
783C2×C22⋊C4—24no—
784C2×C22⋊C4—24no—
785C2×C22⋊C4—24no—
786C2×C22⋊C4—24no—
787C2×C22⋊C4—24no—
788C2×C22⋊C4—24no—
789C2×C22⋊C4—24no—
790C2×C22⋊C4—24no—
791C2×C22⋊C4—24no—
792C2×C22⋊C4—24no—
793C2×C22⋊C4—24no—
794C2×C22⋊C4—232no—
795C2×C22⋊C4—232no—
796C2×C22⋊C4—42no—
797C2×C22⋊C4—42no—
798C2×C22⋊C4—42no—
799C2×C22⋊C4—42no—
800C2×C22⋊C4—42no—
801C2×C22⋊C4—42no—
802C2×C22⋊C4—42no—
803C2×C22⋊C4—42no—
804C2×C22⋊C4—42no—
805C2×C22⋊C4—42no—
806C2×C22⋊C4—42no—
807C2×C22⋊C4—42no—
808C2×C22⋊C4—42no—
809C2×C22⋊C4—42no—
810C2×C22⋊C4—42no—
811C2×C22⋊C4—42no—
812C2×C22⋊C4—42no—
813C2×C22⋊C4—42no—
814C2×C22⋊C4—42no—
815C2×C22⋊C4—42no—
816C2×C22⋊C4#4118yes—
817C2×C22⋊C4#4118yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2414yes—
821C2×C22⋊C4C2414yes—
822C2×C22⋊C4C2414yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×C22⋊C4C2414yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C42—24no—
873C2×C42—24no—
874C2×C42—24no—
875C2×C42—42no—
876C2×C42—42no—
877C2×C42—42no—
878C2×C42—42no—
879C2×C42—42no—
880C2×C42—42no—
881C2×C42—42no—
882C2×C42—42no—
883C2×C42—42no—
884C2×C42—42no—
885C2×C42—42no—
886C2×C42—42no—
887C2×C42—42no—
888C2×C42—42no—
889C2×C42C2414yes—
890C2×C42C2414yes—
891C2×C42C2414yes—
892C2×C42C2414yes—
893C2×C42C2414yes—
894C2×C42C2414yes—
895C2×C42C2414yes—
896C2×C42C2414yes—
897C2×C42C2414yes—
898C2×C42C2414yes—
899C2×C42C2414yes—
900C2×C42C2414yes—
901C2×C42C2414yes—
902C2×C42C2414yes—
903C2×C42C2414yes—
904C2×C42C2414yes—
905C2×C42C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940C24—232no—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—22no—
946C24—22no—
947C24—22no—
948C24—22no—
949C24—22no—
950C24—22no—
951C24—22no—
952C24—22no—
953C24—22no—
954C24—22no—
955C24—22no—
956C24—22no—
957C24—22no—
958C24—22no—
959C24—28no—
960C24—28no—
961C24—28no—
962C24—22no—
963C24—22no—
964C24—22no—
965C24—22no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—22no—
971C24—22no—
972C24—22no—
973C24—22no—
974C24—22no—
975C24—22no—
976C24—22no—
977C24—22no—
978C24—22no—
979C24—22no—
980C24—22no—
981C24—22no—
982C24—22no—
983C24—44no—
984C24—44no—
985C24—44no—
986C24—44no—
987C24—88no—
988C24—88no—
989C24—88no—
990C24—88no—
991C24—88no—
992C24—88no—
993C24C2×#4114yes—
994C24C2×#4114yes—
995C24C2×#4114yes—
996C24C2512yes—
997C24C2512yes—
998C24C2512yes—
999C24C2512yes—
1000C24C2512yes—
1001C24C2512yes—
1002C24C2511yescharacteristic
1003C2×Q8—28no—
1004C2×Q8—28no—
1005C2×Q8—44no—
1006C2×Q8—416no—
1007C2×D4—28no—
1008C2×D4—28no—
1009C2×D4—28no—
1010C2×D4—28no—
1011C2×D4—28no—
1012C2×D4—28no—
1013C2×D4—28no—
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—28no—
1017C2×D4—28no—
1018C2×D4—28no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—28no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—416no—
1028C2×D4—416no—
1029C2×D4—416no—
1030C2×D4—416no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—88no—
1048C2×D4—88no—
1049C2×D4—88no—
1050C2×D4—88no—
1051C2×D4—88no—
1052C2×D4—88no—
1053C2×D4—88no—
1054C2×D4—88no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—28no—
1122C22×C4—28no—
1123C22×C4—28no—
1124C22×C4—28no—
1125C22×C4—28no—
1126C22×C4—28no—
1127C22×C4—28no—
1128C22×C4—28no—
1129C22×C4—28no—
1130C22×C4—28no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—416no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—416no—
1137C22×C4—416no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—88no—
1151C22×C4—88no—
1152C22×C4—88no—
1153C22×C4—88no—
1154C22×C4—88no—
1155C22×C4—88no—
1156C22×C4C2×#4114yes—
1157C22×C4C2×#4114yes—
1158C22×C4C2×#4114yes—
1159C22×C4C2×#4114yes—
1160C22×C4C2×#4114yes—
1161C22×C4C2×#4114yes—
1162C22×C4C2×#41116yes—
1163C22×C4H(5,𝔽2)14yes—
1164C22×C4H(5,𝔽2)14yes—
1165C22×C4H(5,𝔽2)14yes—
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2512yes—
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C4⋊C4—28no—
1192C4⋊C4—28no—
1193C4⋊C4—28no—
1194C4⋊C4—28no—
1195C4⋊C4—28no—
1196C4⋊C4—28no—
1197C4⋊C4—28no—
1198C4⋊C4—28no—
1199C4⋊C4—28no—
1200C4⋊C4—28no—
1201C4⋊C4—28no—
1202C4⋊C4—28no—
1203C4⋊C4—28no—
1204C4⋊C4—28no—
1205C4⋊C4—28no—
1206C4⋊C4—28no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C22⋊C4—28no—
1219C22⋊C4—28no—
1220C22⋊C4—28no—
1221C22⋊C4—28no—
1222C22⋊C4—28no—
1223C22⋊C4—28no—
1224C22⋊C4—28no—
1225C22⋊C4—28no—
1226C22⋊C4—28no—
1227C22⋊C4—28no—
1228C22⋊C4—28no—
1229C22⋊C4—28no—
1230C22⋊C4—28no—
1231C22⋊C4—28no—
1232C22⋊C4—28no—
1233C22⋊C4—28no—
1234C22⋊C4—28no—
1235C22⋊C4—28no—
1236C22⋊C4—28no—
1237C22⋊C4—28no—
1238C22⋊C4—28no—
1239C22⋊C4—28no—
1240C22⋊C4—28no—
1241C22⋊C4—28no—
1242C22⋊C4—28no—
1243C22⋊C4—28no—
1244C22⋊C4—28no—
1245C22⋊C4—28no—
1246C22⋊C4—28no—
1247C22⋊C4—28no—
1248C22⋊C4—28no—
1249C22⋊C4—28no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4C2×#41116yes—
1271C22⋊C4C2×#41116yes—
1272C42—28no—
1273C42—28no—
1274C42—28no—
1275C42—44no—
1276C42—44no—
1277C42—44no—
1278C42—44no—
1279C42—44no—
1280C42—44no—
1281C42—44no—
1282C42—44no—
1283C42—44no—
1284C42—44no—
1285C42—44no—
1286C42—44no—
1287C42—44no—
1288C42—44no—
1289C23—232no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—28no—
1309C23—28no—
1310C23—28no—
1311C23—28no—
1312C23—28no—
1313C23—28no—
1314C23—28no—
1315C23—28no—
1316C23—28no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—44no—
1339C23—44no—
1340C23—44no—
1341C23—44no—
1342C23—44no—
1343C23—44no—
1344C23—44no—
1345C23—44no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23—44no—
1357C23—44no—
1358C23—44no—
1359C23—44no—
1360C23—44no—
1361C23—44no—
1362C23—44no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—44no—
1369C23—44no—
1370C23—44no—
1371C23—88no—
1372C23—88no—
1373C23—88no—
1374C23—88no—
1375C23—88no—
1376C23—88no—
1377C23—864no—
1378C23C22×#4114yes—
1379C23C22×#4114yes—
1380C23C22×#4114yes—
1381C23C22×#4112yes—
1382C23C22×#4112yes—
1383C23C22×#4112yes—
1384C23C2×H(5,𝔽2)12yes—
1385C23C2×H(5,𝔽2)12yes—
1386C23C2×H(5,𝔽2)12yes—
1387C23#58512yes—
1388C23C2611yescharacteristic
1389Q8—416no—
1390D4—416no—
1391D4—416no—
1392D4—416no—
1393D4—416no—
1394D4—88no—
1395D4—88no—
1396D4—88no—
1397D4—88no—
1398D4—88no—
1399D4—88no—
1400D4—88no—
1401D4—88no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—28no—
1421C2×C4—28no—
1422C2×C4—28no—
1423C2×C4—28no—
1424C2×C4—28no—
1425C2×C4—28no—
1426C2×C4—28no—
1427C2×C4—28no—
1428C2×C4—28no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—416no—
1478C2×C4—416no—
1479C2×C4—416no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—88no—
1497C2×C4—88no—
1498C2×C4—88no—
1499C2×C4—88no—
1500C2×C4—88no—
1501C2×C4—88no—
1502C2×C4C22×#4114yes—
1503C2×C4C22×#4114yes—
1504C2×C4C22×#4114yes—
1505C2×C4C22×#4114yes—
1506C2×C4C22×#4114yes—
1507C2×C4C22×#4114yes—
1508C2×C4C2×H(5,𝔽2)14yes—
1509C2×C4C2×H(5,𝔽2)14yes—
1510C2×C4C2×H(5,𝔽2)14yes—
1511C22—24no—
1512C22—24no—
1513C22—24no—
1514C22—24no—
1515C22—24no—
1516C22—24no—
1517C22—24no—
1518C22—24no—
1519C22—24no—
1520C22—416no—
1521C22—416no—
1522C22—416no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—832no—
1557C22—88no—
1558C22—88no—
1559C22—88no—
1560C22#344414yes—
1561C22#350514yes—
1562C22#350814yes—
1563C22#351314yes—
1564C22#351414yes—
1565C22#351914yes—
1566C22#351914yes—
1567C22C23×#4111yescharacteristic
1568C22C23×#4111yescharacteristic
1569C22C23×#4111yescharacteristic
1570C22C22×H(5,𝔽2)11yescharacteristic
1571C22C22×H(5,𝔽2)11yescharacteristic
1572C22C22×H(5,𝔽2)11yescharacteristic
1573C22C2×#58511yescharacteristic
1574C4—24no—
1575C4—24no—
1576C4—24no—
1577C4—24no—
1578C4—24no—
1579C4—24no—
1580C4—24no—
1581C4—24no—
1582C4—24no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C2—44no—
1600C2—44no—
1601C2—44no—
1602C2—82no—
1603C2—82no—
1604C2—82no—
1605C2#3586318yesdirect product factor
1606C2C2×#344411yescharacteristic
1607C2C2×#350511yescharacteristic
1608C2C2×#351311yescharacteristic
1609C2C2×#351911yescharacteristic
1610C2C2×#351911yescharacteristic
1611C2C2×#351411yescharacteristic
1612C2C2×#350811yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35863C2direct (N × H)
2. C2×#2597C2semidirect
3. C2×#2595C2semidirect
4. C2×#2558C2semidirect
5. C2×#2557C2semidirect
6. C2×#2556C2semidirect
7. C2×#2555C2semidirect
8. C2×#2539C2semidirect
9. C2×#2490C2semidirect
10. C2×#2522C2semidirect
11. C2×#2411C2semidirect
12. C2×#2471C2semidirect
13. C2×#2470C2semidirect
14. C2×#2426C2semidirect
15. C2×#2464C2semidirect
16. C2×#2472C2semidirect
17. C2×#2424C2semidirect
18. C2×#2424C2semidirect
19. C2×#2418C2semidirect
20. C2×#2661C2semidirect
21. C2×#2649C2semidirect
22. C2×#2648C2semidirect
23. C2×#2396C2semidirect
24. C2×#2395C2semidirect
25. C2×#2392C2semidirect
26. C2×#2374C2semidirect
27. C2×#2374C2semidirect
28. C2×#2367C2semidirect
29. C2×#2363C2semidirect
30. C2×#2363C2semidirect
31. C2×#2363C2semidirect
32. C2×#2273C2semidirect
33. C22×#125C22semidirect
35. C22×#124C22semidirect
49. C22×C4×Q8C22semidirect
53. C22×C4×D4C22semidirect
55. C22×#117C22semidirect
56. C22×#117C22semidirect
60. #2661C22semidirect
61. #2649C22semidirect
62. #2648C22semidirect
63. #2597C22semidirect
64. #2595C22semidirect
65. #2558C22semidirect
66. #2557C22semidirect
67. #2556C22semidirect
68. #2555C22semidirect
69. #2539C22semidirect
70. #2522C22semidirect
71. #2490C22semidirect
72. #2472C22semidirect
73. #2471C22semidirect
74. #2470C22semidirect
75. #2464C22semidirect
76. #2426C22semidirect
77. #2424C22semidirect
78. #2424C22semidirect
79. #2418C22semidirect
80. #2411C22semidirect
81. #2396C22semidirect
82. #2395C22semidirect
83. C2×#400C22semidirect
84. C2×#400C22semidirect
85. C2×#400C22semidirect
89. #2392C22semidirect
90. C2×#398C22semidirect
91. C2×#398C22semidirect
92. C2×#398C22semidirect
95. C2×#397C22semidirect
96. C2×#397C22semidirect
97. C2×#397C22semidirect
98. C2×#397C22semidirect
99. C2×#397C22semidirect
104. C2×#396C22semidirect
105. C2×#396C22semidirect
106. C2×#395C22semidirect
117. C2×#394C22semidirect
123. C2×#392C22semidirect
124. #2374C22semidirect
125. #2374C22semidirect
126. #2367C22semidirect
127. #2363C22semidirect
128. #2363C22semidirect
129. #2363C22semidirect
130. C2×#391C22semidirect
140. C2×#390C22semidirect
141. C2×#390C22semidirect
142. C2×#390C22semidirect
143. C2×#390C22semidirect
144. C2×#389C22semidirect
145. C2×#389C22semidirect
146. C2×#389C22semidirect
147. C2×#389C22semidirect
156. C2×#388C22semidirect
157. C2×#388C22semidirect
158. C2×#388C22semidirect
159. C2×#388C22semidirect
160. C2×#388C22semidirect
161. C2×#388C22semidirect
162. C2×#388C22semidirect
163. C2×#388C22semidirect
164. C2×#388C22semidirect
165. C2×#388C22semidirect
166. C2×#388C22semidirect
167. C2×#388C22semidirect
168. C2×#387C22semidirect
169. C2×#387C22semidirect
170. C2×#387C22semidirect
171. C2×#387C22semidirect
172. C2×#387C22semidirect
173. C2×#387C22semidirect
183. C2×#386C22semidirect
184. C2×#386C22semidirect
189. C2×#385C22semidirect
192. #2273C22semidirect
193. C2×C4×C4⋊C4C22semidirect
194. C2×C4×C4⋊C4C22semidirect
195. C2×C4×C4⋊C4C22semidirect
196. C2×C4×C4⋊C4C22semidirect
197. C2×C4×C4⋊C4C22semidirect
198. C2×C4×C4⋊C4C22semidirect
199. C2×C4×C4⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
243. C2×#125C23semidirect
247. C2×#124C23semidirect
275. C2×C4×Q8C23semidirect
283. C2×C4×D4C23semidirect
288. C2×#117C23semidirect
289. C2×#117C23semidirect
394. #400C23semidirect
395. #400C23semidirect
396. #400C23semidirect
400. #398C23semidirect
401. #398C23semidirect
402. #398C23semidirect
405. #397C23semidirect
406. #397C23semidirect
407. #397C23semidirect
408. #397C23semidirect
409. #397C23semidirect
414. #396C23semidirect
415. #396C23semidirect
416. #395C23semidirect
427. #394C23semidirect
433. #392C23semidirect
434. #391C23semidirect
444. #390C23semidirect
445. #390C23semidirect
446. #390C23semidirect
447. #390C23semidirect
448. #389C23semidirect
449. #389C23semidirect
450. #389C23semidirect
451. #389C23semidirect
460. #388C23semidirect
461. #388C23semidirect
462. #388C23semidirect
463. #388C23semidirect
464. #388C23semidirect
465. #388C23semidirect
466. #388C23semidirect
467. #388C23semidirect
468. #388C23semidirect
469. #388C23semidirect
470. #388C23semidirect
471. #388C23semidirect
472. #387C23semidirect
473. #387C23semidirect
474. #387C23semidirect
475. #387C23semidirect
476. #387C23semidirect
477. #387C23semidirect
487. #386C23semidirect
488. #386C23semidirect
493. #385C23semidirect
496. C4×C4⋊C4C23semidirect
497. C4×C4⋊C4C23semidirect
498. C4×C4⋊C4C23semidirect
499. C4×C4⋊C4C23semidirect
500. C4×C4⋊C4C23semidirect
501. C4×C4⋊C4C23semidirect
502. C4×C4⋊C4C23semidirect
517. C4×C22⋊C4C23semidirect
518. C4×C22⋊C4C23semidirect
519. C4×C22⋊C4C23semidirect
520. C4×C22⋊C4C23semidirect
521. C4×C22⋊C4C23semidirect
1605. C2#35863direct (N × H)

Maximal subgroups

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

subgroupindex
#358632
C2×#25972
C2×#25952
C2×#25582
C2×#25572
C2×#25562
C2×#25552
C2×#25392
C2×#24902
C2×#25222
C2×#24112
C2×#24712
C2×#24702
C2×#24262
C2×#24642
C2×#24722
C2×#24242
C2×#24182
C2×#26612
C2×#26492
C2×#26482
C2×#23962
C2×#23952
C2×#23922
C2×#23742
C2×#23672
C2×#23632
C2×#22732