Finite Group Databasebeta

← C2×#56546 #8098873

Subgroups — C2×#56546 #8098873

Order 512.

7434 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#56546C2132yesmaximal, direct product factor
2C2×#2782C211yesmaximal, characteristic, complemented
3C2×#2757C211yesmaximal, characteristic, complemented
4C2×#2750C211yesmaximal, characteristic, complemented
5C2×#2749C211yesmaximal, characteristic, complemented
6C2×#2749C211yesmaximal, characteristic, complemented
7C2×#2714C211yesmaximal, characteristic, complemented
8C2×#2708C211yesmaximal, characteristic, complemented
9C2×#2701C211yesmaximal, characteristic, complemented
10C2×#2688C211yesmaximal, characteristic, complemented
11C2×#2688C211yesmaximal, characteristic, complemented
12C2×#2688C211yesmaximal, characteristic, complemented
13C2×#2678C211yesmaximal, characteristic, complemented
14C2×#2678C211yesmaximal, characteristic, complemented
15C2×#2675C211yesmaximal, characteristic, complemented
16C2×#2671C211yesmaximal, characteristic, complemented
17C2×#2668C211yesmaximal, characteristic, complemented
18C2×#2827C211yesmaximal, characteristic, complemented
19C2×#2827C211yesmaximal, characteristic, complemented
20C2×#2815C211yesmaximal, characteristic, complemented
21C2×#2483C211yesmaximal, characteristic, complemented
22C2×#2420C211yesmaximal, characteristic, complemented
23C2×#2464C211yesmaximal, characteristic, complemented
24C2×#2480C211yesmaximal, characteristic, complemented
25C2×#2424C211yesmaximal, characteristic, complemented
26C2×#2424C211yesmaximal, characteristic, complemented
27C2×#2410C211yesmaximal, characteristic, complemented
28C2×#2410C211yesmaximal, characteristic, complemented
29C2×#2410C211yesmaximal, characteristic, complemented
30C2×#2636C211yesmaximal, characteristic, complemented
31C2×#2635C211yesmaximal, characteristic, complemented
32C2×#2617C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C22×#126C2211yescharacteristic, complemented
35C22×#123C2211yescharacteristic, complemented
36C22×#123C2211yescharacteristic, complemented
37C22×#121C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic, complemented
46C22×#121C2211yescharacteristic, complemented
47C22×#121C2211yescharacteristic, complemented
48C22×#121C2211yescharacteristic, complemented
49C22×#121C2211yescharacteristic, complemented
50C22×#120C2211yescharacteristic
51C22×#120C2211yescharacteristic
52C22×#120C2211yescharacteristic
53C22×#120C2211yescharacteristic
54C22×#120C2211yescharacteristic
55C22×#120C2211yescharacteristic
56C22×C4×D4C2211yescharacteristic, complemented
57C22×C4×D4C2211yescharacteristic, complemented
58C23×C22⋊C4C2211yescharacteristic
59C23×C22⋊C4C2211yescharacteristic
60C23×C22⋊C4C2211yescharacteristic
61#2827C22116yescomplemented
62#2827C22116yescomplemented
63#2815C22116yescomplemented
64#2782C22116yescomplemented
65#2757C22116yescomplemented
66#2750C22116yescomplemented
67#2749C22116yescomplemented
68#2749C22116yescomplemented
69#2714C22116yescomplemented
70#2708C22116yescomplemented
71#2701C22116yescomplemented
72#2688C22116yescomplemented
73#2688C22116yescomplemented
74#2688C22116yescomplemented
75#2678C22116yescomplemented
76#2678C22116yescomplemented
77#2675C22116yescomplemented
78#2671C22116yescomplemented
79#2668C22116yescomplemented
80#2636C22116yescomplemented
81#2635C22116yescomplemented
82#2617C22116yescomplemented
83#2483C22116yescomplemented
84#2480C22116yescomplemented
85#2464C22116yescomplemented
86#2424C22116yescomplemented
87#2424C22116yescomplemented
88#2420C22116yescomplemented
89#2410C22116yescomplemented
90#2410C22116yescomplemented
91#2410C22116yescomplemented
92C2×#400C2211yescharacteristic, complemented
93C2×#400C2211yescharacteristic, complemented
94C2×#400C2211yescharacteristic, complemented
95C2×#400C2211yescharacteristic, complemented
96C2×#400C2211yescharacteristic, complemented
97C2×#400C2211yescharacteristic, complemented
98C2×#399C2211yescharacteristic, complemented
99C2×#399C2211yescharacteristic, complemented
100C2×#398C2211yescharacteristic, complemented
101C2×#398C2211yescharacteristic, complemented
102C2×#398C2211yescharacteristic, complemented
103C2×#397C2211yescharacteristic
104C2×#397C2211yescharacteristic
105C2×#397C2211yescharacteristic
106C2×#397C2211yescharacteristic
107C2×#397C2211yescharacteristic, complemented
108C2×#397C2211yescharacteristic, complemented
109C2×#397C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic, complemented
111C2×#397C2211yescharacteristic, complemented
112C2×#397C2211yescharacteristic, complemented
113C2×#397C2211yescharacteristic, complemented
114C2×#397C2211yescharacteristic, complemented
115C2×#397C2211yescharacteristic, complemented
116C2×#397C2211yescharacteristic, complemented
117C2×#397C2211yescharacteristic, complemented
118C2×#396C2211yescharacteristic
119C2×#396C2211yescharacteristic, complemented
120C2×#396C2211yescharacteristic, complemented
121C2×#396C2211yescharacteristic, complemented
122C2×#396C2211yescharacteristic, complemented
123C2×#396C2211yescharacteristic, complemented
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic
132C2×#394C2211yescharacteristic
133C2×#394C2211yescharacteristic
134C2×#394C2211yescharacteristic, complemented
135C2×#394C2211yescharacteristic, complemented
136C2×#394C2211yescharacteristic, complemented
137C2×#394C2211yescharacteristic, complemented
138C2×#394C2211yescharacteristic, complemented
139C2×#394C2211yescharacteristic, complemented
140C2×#394C2211yescharacteristic, complemented
141C2×#392C2211yescharacteristic
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic
145C2×#392C2211yescharacteristic
146C2×#392C2211yescharacteristic
147C2×#392C2211yescharacteristic
148C2×#392C2211yescharacteristic, complemented
149C2×#392C2211yescharacteristic, complemented
150C2×#392C2211yescharacteristic, complemented
151C2×#392C2211yescharacteristic, complemented
152C2×#392C2211yescharacteristic, complemented
153C2×#392C2211yescharacteristic, complemented
154C2×#392C2211yescharacteristic, complemented
155C2×#392C2211yescharacteristic, complemented
156C2×#390C2211yescharacteristic
157C2×#390C2211yescharacteristic, complemented
158C2×#390C2211yescharacteristic, complemented
159C2×#390C2211yescharacteristic, complemented
160C2×#390C2211yescharacteristic, complemented
161C2×#389C2211yescharacteristic, complemented
162C2×#388C2211yescharacteristic
163C2×#388C2211yescharacteristic
164C2×#388C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic, complemented
166C2×#388C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic, complemented
168C2×#388C2211yescharacteristic, complemented
169C2×#387C2211yescharacteristic, complemented
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic, complemented
181C2×#386C2211yescharacteristic, complemented
182C2×#386C2211yescharacteristic, complemented
183C2×#386C2211yescharacteristic, complemented
184C2×#386C2211yescharacteristic, complemented
185C2×#386C2211yescharacteristic, complemented
186C2×#386C2211yescharacteristic, complemented
187C2×#386C2211yescharacteristic, complemented
188C2×#386C2211yescharacteristic, complemented
189C2×#386C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic, complemented
191C2×#386C2211yescharacteristic, complemented
192C2×#385C2211yescharacteristic
193C2×#385C2211yescharacteristic
194C2×#385C2211yescharacteristic
195C2×#385C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic, complemented
197C2×#385C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#383C2211yescharacteristic, complemented
207C2×#382C2211yescharacteristic, complemented
208C2×#381C2211yescharacteristic, complemented
209C2×#381C2211yescharacteristic, complemented
210C2×#381C2211yescharacteristic, complemented
211C2×#381C2211yescharacteristic, complemented
212C2×#381C2211yescharacteristic, complemented
213C2×#380C2211yescharacteristic, complemented
214C2×#380C2211yescharacteristic, complemented
215C2×#379C2211yescharacteristic
216C2×#379C2211yescharacteristic
217C2×#379C2211yescharacteristic
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×D4—44no—
222C23×D4—44no—
223C23×D4—44no—
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2318yes—
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C2×#126—44no—
258C2×#126C2318yescomplemented
259C2×#123—44no—
260C2×#123—44no—
261C2×#123C2318yescomplemented
262C2×#123C2318yescomplemented
263C2×#121—44no—
264C2×#121—44no—
265C2×#121—44no—
266C2×#121—44no—
267C2×#121—44no—
268C2×#121—44no—
269C2×#121—44no—
270C2×#121—44no—
271C2×#121—44no—
272C2×#121—44no—
273C2×#121—44no—
274C2×#121—44no—
275C2×#121—44no—
276C2×#121C2318yes—
277C2×#121C2318yes—
278C2×#121C2318yes—
279C2×#121C2318yes—
280C2×#121C2318yes—
281C2×#121C2318yes—
282C2×#121C2318yes—
283C2×#121C2318yes—
284C2×#121C2318yescomplemented
285C2×#121C2318yescomplemented
286C2×#121C2318yescomplemented
287C2×#121C2318yescomplemented
288C2×#121C2318yescomplemented
289C2×#120—44no—
290C2×#120—44no—
291C2×#120—44no—
292C2×#120—44no—
293C2×#120—44no—
294C2×#120—44no—
295C2×#120C2318yes—
296C2×#120C2318yes—
297C2×#120C2318yes—
298C2×#120C2318yes—
299C2×#120C2318yes—
300C2×#120C2318yes—
301C2×C4×D4—44no—
302C2×C4×D4—44no—
303C2×C4×D4C2318yescomplemented
304C2×C4×D4C2318yescomplemented
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×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C4⋊C4C2311yescharacteristic
326C22×C4⋊C4C2311yescharacteristic
327C22×C22⋊C4—44no—
328C22×C22⋊C4—44no—
329C22×C22⋊C4—44no—
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⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2318yes—
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×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2318yes—
392C22×C22⋊C4C2318yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396#400C2318yescomplemented
397#400C2318yescomplemented
398#400C2318yescomplemented
399#400C2318yescomplemented
400#400C2318yescomplemented
401#400C2318yescomplemented
402#399C2318yescomplemented
403#399C2318yescomplemented
404#398C2318yescomplemented
405#398C2318yescomplemented
406#398C2318yescomplemented
407#397C2318yes—
408#397C2318yes—
409#397C2318yes—
410#397C2318yes—
411#397C2318yescomplemented
412#397C2318yescomplemented
413#397C2318yescomplemented
414#397C2318yescomplemented
415#397C2318yescomplemented
416#397C2318yescomplemented
417#397C2318yescomplemented
418#397C2318yescomplemented
419#397C2318yescomplemented
420#397C2318yescomplemented
421#397C2318yescomplemented
422#396C2318yes—
423#396C2318yescomplemented
424#396C2318yescomplemented
425#396C2318yescomplemented
426#396C2318yescomplemented
427#396C2318yescomplemented
428#394C2318yes—
429#394C2318yes—
430#394C2318yes—
431#394C2318yes—
432#394C2318yes—
433#394C2318yes—
434#394C2318yes—
435#394C2318yes—
436#394C2318yes—
437#394C2318yes—
438#394C2318yescomplemented
439#394C2318yescomplemented
440#394C2318yescomplemented
441#394C2318yescomplemented
442#394C2318yescomplemented
443#394C2318yescomplemented
444#394C2318yescomplemented
445#392C2318yes—
446#392C2318yes—
447#392C2318yes—
448#392C2318yes—
449#392C2318yes—
450#392C2318yes—
451#392C2318yes—
452#392C2318yescomplemented
453#392C2318yescomplemented
454#392C2318yescomplemented
455#392C2318yescomplemented
456#392C2318yescomplemented
457#392C2318yescomplemented
458#392C2318yescomplemented
459#392C2318yescomplemented
460#390C2318yes—
461#390C2318yescomplemented
462#390C2318yescomplemented
463#390C2318yescomplemented
464#390C2318yescomplemented
465#389C2318yescomplemented
466#388C2318yes—
467#388C2318yes—
468#388C2318yescomplemented
469#388C2318yescomplemented
470#388C2318yescomplemented
471#388C2318yescomplemented
472#388C2318yescomplemented
473#387C2318yescomplemented
474#386C2318yes—
475#386C2318yes—
476#386C2318yes—
477#386C2318yes—
478#386C2318yes—
479#386C2318yes—
480#386C2318yes—
481#386C2318yes—
482#386C2318yes—
483#386C2318yes—
484#386C2318yescomplemented
485#386C2318yescomplemented
486#386C2318yescomplemented
487#386C2318yescomplemented
488#386C2318yescomplemented
489#386C2318yescomplemented
490#386C2318yescomplemented
491#386C2318yescomplemented
492#386C2318yescomplemented
493#386C2318yescomplemented
494#386C2318yescomplemented
495#386C2318yescomplemented
496#385C2318yes—
497#385C2318yes—
498#385C2318yes—
499#385C2318yescomplemented
500#385C2318yescomplemented
501#385C2318yescomplemented
502#385C2318yescomplemented
503#385C2318yescomplemented
504#385C2318yescomplemented
505#385C2318yescomplemented
506#385C2318yescomplemented
507#385C2318yescomplemented
508#385C2318yescomplemented
509#385C2318yescomplemented
510#383C2318yescomplemented
511#382C2318yescomplemented
512#381C2318yescomplemented
513#381C2318yescomplemented
514#381C2318yescomplemented
515#381C2318yescomplemented
516#381C2318yescomplemented
517#380C2318yescomplemented
518#380C2318yescomplemented
519#379C2318yes—
520#379C2318yes—
521#379C2318yes—
522C4×C22⋊C4C2318yescomplemented
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
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
559C25—24no—
560C25—24no—
561C25—24no—
562C25—24no—
563C25—24no—
564C25—42no—
565C25—42no—
566C25—42no—
567C25—42no—
568C25—42no—
569C25—42no—
570C25—42no—
571C25—42no—
572C25—42no—
573C25C2411yescharacteristic
574C25C2411yescharacteristic
575C25C2411yescharacteristic
576C25C2411yescharacteristic
577C25C2411yescharacteristic
578C25C2411yescharacteristic
579C25C2411yescharacteristic
580C25C2411yescharacteristic
581C25C2414yes—
582C25C2414yes—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—24no—
587C22×D4—24no—
588C22×D4—24no—
589C22×D4—24no—
590C22×D4—24no—
591C22×D4—24no—
592C22×D4—24no—
593C22×D4—24no—
594C22×D4—24no—
595C22×D4—24no—
596C22×D4—24no—
597C22×D4—24no—
598C22×D4—24no—
599C22×D4—24no—
600C22×D4—24no—
601C22×D4—24no—
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×D4—42no—
611C22×D4—42no—
612C22×D4—42no—
613C22×D4—42no—
614C22×D4—42no—
615C22×D4—42no—
616C22×D4—42no—
617C22×D4—42no—
618C22×D4—42no—
619C22×D4—42no—
620C22×D4—42no—
621C22×D4—42no—
622C22×D4—42no—
623C22×D4—42no—
624C22×D4—42no—
625C22×D4—42no—
626C22×D4—42no—
627C22×D4—42no—
628C22×D4—42no—
629C22×D4—42no—
630C22×D4—42no—
631C22×D4—42no—
632C22×D4—42no—
633C22×D4—42no—
634C22×D4—42no—
635C22×D4—42no—
636C22×D4—42no—
637C22×D4—42no—
638C22×D4—42no—
639C22×D4—42no—
640C22×D4—42no—
641C22×D4—42no—
642C22×D4—42no—
643C22×D4—42no—
644C22×D4—42no—
645C22×D4—42no—
646C22×D4—42no—
647C22×D4—42no—
648C22×D4—42no—
649C22×D4—416no—
650C22×D4—416no—
651C22×D4—416no—
652C22×D4—464no—
653C22×D4C2414yes—
654C22×D4C2414yes—
655C22×D4C2414yes—
656C22×D4C2414yes—
657C22×D4C2414yes—
658C22×D4C2414yes—
659C22×D4C2414yes—
660C22×D4C2414yes—
661C22×D4C2414yes—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2414yes—
668C22×D4C2414yes—
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C23×C4—24no—
676C23×C4—24no—
677C23×C4—24no—
678C23×C4—42no—
679C23×C4—42no—
680C23×C4—42no—
681C23×C4—42no—
682C23×C4—42no—
683C23×C4—42no—
684C23×C4—42no—
685C23×C4—42no—
686C23×C4—42no—
687C23×C4—42no—
688C23×C4—42no—
689C23×C4—42no—
690C23×C4—42no—
691C23×C4—42no—
692C23×C4—42no—
693C23×C4—42no—
694C23×C4—42no—
695C23×C4—42no—
696C23×C4—42no—
697C23×C4—42no—
698C23×C4—42no—
699C23×C4—42no—
700C23×C4—42no—
701C23×C4—42no—
702C23×C4—42no—
703C23×C4—42no—
704C23×C4—42no—
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2414yes—
729C23×C4C2414yes—
730C23×C4C2414yes—
731C23×C4C2414yes—
732C23×C4C2414yes—
733C23×C4C2414yes—
734C23×C4C2414yes—
735C23×C4C2414yes—
736C23×C4C2414yes—
737C23×C4C2414yes—
738#126—416no—
739#123—416no—
740#123—416no—
741#121—416no—
742#121—416no—
743#121—416no—
744#121—416no—
745#121—416no—
746#121—416no—
747#121—416no—
748#121—416no—
749#121—416no—
750#121—416no—
751#121—416no—
752#121—416no—
753#121—416no—
754#120—416no—
755#120—416no—
756#120—416no—
757#120—416no—
758#120—416no—
759#120—416no—
760C4×D4—416no—
761C4×D4—416no—
762C2×C4⋊C4—24no—
763C2×C4⋊C4—42no—
764C2×C4⋊C4—42no—
765C2×C4⋊C4—42no—
766C2×C4⋊C4—42no—
767C2×C4⋊C4—42no—
768C2×C4⋊C4—42no—
769C2×C4⋊C4—42no—
770C2×C4⋊C4—42no—
771C2×C4⋊C4—42no—
772C2×C4⋊C4—42no—
773C2×C4⋊C4—42no—
774C2×C4⋊C4—42no—
775C2×C4⋊C4—42no—
776C2×C4⋊C4—42no—
777C2×C4⋊C4—42no—
778C2×C4⋊C4—42no—
779C2×C4⋊C4—42no—
780C2×C4⋊C4—42no—
781C2×C4⋊C4—42no—
782C2×C4⋊C4—42no—
783C2×C4⋊C4—42no—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2414yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C22⋊C4—24no—
807C2×C22⋊C4—24no—
808C2×C22⋊C4—24no—
809C2×C22⋊C4—24no—
810C2×C22⋊C4—24no—
811C2×C22⋊C4—24no—
812C2×C22⋊C4—24no—
813C2×C22⋊C4—24no—
814C2×C22⋊C4—24no—
815C2×C22⋊C4—24no—
816C2×C22⋊C4—24no—
817C2×C22⋊C4—24no—
818C2×C22⋊C4—24no—
819C2×C22⋊C4—24no—
820C2×C22⋊C4—24no—
821C2×C22⋊C4—24no—
822C2×C22⋊C4—416no—
823C2×C22⋊C4—416no—
824C2×C22⋊C4—416no—
825C2×C22⋊C4—42no—
826C2×C22⋊C4—42no—
827C2×C22⋊C4—42no—
828C2×C22⋊C4—42no—
829C2×C22⋊C4—42no—
830C2×C22⋊C4—42no—
831C2×C22⋊C4—42no—
832C2×C22⋊C4—42no—
833C2×C22⋊C4—42no—
834C2×C22⋊C4—42no—
835C2×C22⋊C4—42no—
836C2×C22⋊C4—42no—
837C2×C22⋊C4—42no—
838C2×C22⋊C4—42no—
839C2×C22⋊C4—42no—
840C2×C22⋊C4—42no—
841C2×C22⋊C4—42no—
842C2×C22⋊C4—42no—
843C2×C22⋊C4—42no—
844C2×C22⋊C4—42no—
845C2×C22⋊C4—42no—
846C2×C22⋊C4—42no—
847C2×C22⋊C4—42no—
848C2×C22⋊C4—42no—
849C2×C22⋊C4—42no—
850C2×C22⋊C4—42no—
851C2×C22⋊C4—42no—
852C2×C22⋊C4—42no—
853C2×C22⋊C4—42no—
854C2×C22⋊C4—42no—
855C2×C22⋊C4—42no—
856C2×C22⋊C4—42no—
857C2×C22⋊C4—42no—
858C2×C22⋊C4—42no—
859C2×C22⋊C4—42no—
860C2×C22⋊C4—42no—
861C2×C22⋊C4—42no—
862C2×C22⋊C4—42no—
863C2×C22⋊C4—42no—
864C2×C22⋊C4—42no—
865C2×C22⋊C4—42no—
866C2×C22⋊C4—42no—
867C2×C22⋊C4—42no—
868C2×C22⋊C4—42no—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C42—24no—
930C2×C42—42no—
931C2×C42—42no—
932C2×C42C2414yes—
933C2×C42C2414yes—
934C2×C42C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
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—22no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—22no—
989C24—22no—
990C24—22no—
991C24—22no—
992C24—22no—
993C24—22no—
994C24—22no—
995C24—22no—
996C24—22no—
997C24—22no—
998C24—22no—
999C24—22no—
1000C24—22no—
1001C24—22no—
1002C24—22no—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—22no—
1007C24—22no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—22no—
1013C24—22no—
1014C24—22no—
1015C24—22no—
1016C24—22no—
1017C24—22no—
1018C24—22no—
1019C24—22no—
1020C24—22no—
1021C24—22no—
1022C24—22no—
1023C24—28no—
1024C24—28no—
1025C24—28no—
1026C24—28no—
1027C24—28no—
1028C24—44no—
1029C24—44no—
1030C24—44no—
1031C24—44no—
1032C24—44no—
1033C24—44no—
1034C24—44no—
1035C24—44no—
1036C24—44no—
1037C24—416no—
1038C24—416no—
1039C24—416no—
1040C24—416no—
1041C24—416no—
1042C24—88no—
1043C24—88no—
1044C24—88no—
1045C24—88no—
1046C24—88no—
1047C24—88no—
1048C24—88no—
1049C24—88no—
1050C24—88no—
1051C24H(5,𝔽2)14yes—
1052C24H(5,𝔽2)14yes—
1053C24H(5,𝔽2)14yes—
1054C24H(5,𝔽2)14yes—
1055C24C2512yes—
1056C24C2512yes—
1057C24C2512yes—
1058C24C2512yes—
1059C24C2512yes—
1060C24C2512yes—
1061C24C2512yes—
1062C24C2512yes—
1063C24C2511yescharacteristic
1064C2×D4—28no—
1065C2×D4—28no—
1066C2×D4—28no—
1067C2×D4—28no—
1068C2×D4—28no—
1069C2×D4—28no—
1070C2×D4—28no—
1071C2×D4—28no—
1072C2×D4—28no—
1073C2×D4—28no—
1074C2×D4—28no—
1075C2×D4—28no—
1076C2×D4—28no—
1077C2×D4—28no—
1078C2×D4—28no—
1079C2×D4—28no—
1080C2×D4—28no—
1081C2×D4—28no—
1082C2×D4—28no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—416no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—416no—
1132C2×D4—416no—
1133C2×D4—416no—
1134C2×D4—416no—
1135C2×D4—416no—
1136C2×D4—4128no—
1137C2×D4—88no—
1138C2×D4—88no—
1139C2×D4—88no—
1140C2×D4—88no—
1141C2×D4—88no—
1142C2×D4—88no—
1143C2×D4—88no—
1144C2×D4—88no—
1145C2×D4—88no—
1146C2×D4—88no—
1147C2×D4—88no—
1148C2×D4—88no—
1149C2×D4—88no—
1150C2×D4—88no—
1151C2×D4—88no—
1152C2×D4—88no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—28no—
1222C22×C4—28no—
1223C22×C4—28no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—416no—
1252C22×C4—88no—
1253C22×C4—88no—
1254C22×C4—88no—
1255C22×C4—88no—
1256C22×C4—88no—
1257C22×C4—88no—
1258C22×C4—88no—
1259C22×C4—88no—
1260C22×C4—88no—
1261C22×C4H(5,𝔽2)14yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C4⋊C4—28no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C42—28no—
1368C42—44no—
1369C42—44no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—28no—
1395C23—28no—
1396C23—28no—
1397C23—28no—
1398C23—28no—
1399C23—28no—
1400C23—28no—
1401C23—28no—
1402C23—28no—
1403C23—28no—
1404C23—28no—
1405C23—28no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—416no—
1435C23—416no—
1436C23—416no—
1437C23—416no—
1438C23—416no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—44no—
1449C23—44no—
1450C23—44no—
1451C23—44no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—88no—
1484C23—88no—
1485C23—88no—
1486C23—88no—
1487C23—88no—
1488C23—88no—
1489C23—88no—
1490C23—88no—
1491C23—864no—
1492C23—88no—
1493C23—864no—
1494C23C2×H(5,𝔽2)14yes—
1495C23C2×H(5,𝔽2)14yes—
1496C23C2×H(5,𝔽2)14yes—
1497C23C2×H(5,𝔽2)14yes—
1498C23C2×H(5,𝔽2)12yes—
1499C23C2×H(5,𝔽2)12yes—
1500C23C2×H(5,𝔽2)12yes—
1501C23C2×H(5,𝔽2)12yes—
1502C23C2×H(5,𝔽2)12yes—
1503C23#58512yes—
1504C23#58512yes—
1505C23C2611yescharacteristic
1506D4—416no—
1507D4—416no—
1508D4—416no—
1509D4—416no—
1510D4—416no—
1511D4—416no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515D4—88no—
1516D4—88no—
1517D4—88no—
1518D4—88no—
1519D4—88no—
1520D4—88no—
1521D4—88no—
1522D4—88no—
1523D4—88no—
1524D4—88no—
1525D4—88no—
1526D4—88no—
1527D4—88no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—28no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—416no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—88no—
1621C2×C4—88no—
1622C2×C4—88no—
1623C2×C4—88no—
1624C2×C4—88no—
1625C2×C4—88no—
1626C2×C4—88no—
1627C2×C4—88no—
1628C2×C4—88no—
1629C2×C4C2×H(5,𝔽2)14yes—
1630C22—24no—
1631C22—24no—
1632C22—24no—
1633C22—24no—
1634C22—24no—
1635C22—24no—
1636C22—24no—
1637C22—24no—
1638C22—24no—
1639C22—24no—
1640C22—24no—
1641C22—24no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—416no—
1655C22—416no—
1656C22—416no—
1657C22—416no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—832no—
1691C22—832no—
1692C22—88no—
1693C22—88no—
1694C22—88no—
1695C22—88no—
1696C22#353214yes—
1697C22#353414yes—
1698C22#353414yes—
1699C22#353414yes—
1700C22#353714yes—
1701C22#354214yes—
1702C22#356014yes—
1703C22C22×H(5,𝔽2)11yescharacteristic
1704C22C22×H(5,𝔽2)11yescharacteristic
1705C22C22×H(5,𝔽2)11yescharacteristic
1706C22C22×H(5,𝔽2)11yescharacteristic
1707C22C22×H(5,𝔽2)11yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22C2×#58511yescharacteristic
1710C4—24no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C2—44no—
1734C2—44no—
1735C2—44no—
1736C2—44no—
1737C2—82no—
1738C2—82no—
1739C2—82no—
1740C2—82no—
1741C2#5654618yesdirect product factor
1742C2C2×#353211yescharacteristic
1743C2C2×#354211yescharacteristic
1744C2C2×#353411yescharacteristic
1745C2C2×#353411yescharacteristic
1746C2C2×#353411yescharacteristic
1747C2C2×#353711yescharacteristic
1748C2C2×#356011yescharacteristic
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. #56546C2direct (N × H)
2. C2×#2782C2semidirect
3. C2×#2757C2semidirect
4. C2×#2750C2semidirect
5. C2×#2749C2semidirect
6. C2×#2749C2semidirect
7. C2×#2714C2semidirect
8. C2×#2708C2semidirect
9. C2×#2701C2semidirect
10. C2×#2688C2semidirect
11. C2×#2688C2semidirect
12. C2×#2688C2semidirect
13. C2×#2678C2semidirect
14. C2×#2678C2semidirect
15. C2×#2675C2semidirect
16. C2×#2671C2semidirect
17. C2×#2668C2semidirect
18. C2×#2827C2semidirect
19. C2×#2827C2semidirect
20. C2×#2815C2semidirect
21. C2×#2483C2semidirect
22. C2×#2420C2semidirect
23. C2×#2464C2semidirect
24. C2×#2480C2semidirect
25. C2×#2424C2semidirect
26. C2×#2424C2semidirect
27. C2×#2410C2semidirect
28. C2×#2410C2semidirect
29. C2×#2410C2semidirect
30. C2×#2636C2semidirect
31. C2×#2635C2semidirect
32. C2×#2617C2semidirect
34. C22×#126C22semidirect
35. C22×#123C22semidirect
36. C22×#123C22semidirect
45. C22×#121C22semidirect
46. C22×#121C22semidirect
47. C22×#121C22semidirect
48. C22×#121C22semidirect
49. C22×#121C22semidirect
56. C22×C4×D4C22semidirect
57. C22×C4×D4C22semidirect
61. #2827C22semidirect
62. #2827C22semidirect
63. #2815C22semidirect
64. #2782C22semidirect
65. #2757C22semidirect
66. #2750C22semidirect
67. #2749C22semidirect
68. #2749C22semidirect
69. #2714C22semidirect
70. #2708C22semidirect
71. #2701C22semidirect
72. #2688C22semidirect
73. #2688C22semidirect
74. #2688C22semidirect
75. #2678C22semidirect
76. #2678C22semidirect
77. #2675C22semidirect
78. #2671C22semidirect
79. #2668C22semidirect
80. #2636C22semidirect
81. #2635C22semidirect
82. #2617C22semidirect
83. #2483C22semidirect
84. #2480C22semidirect
85. #2464C22semidirect
86. #2424C22semidirect
87. #2424C22semidirect
88. #2420C22semidirect
89. #2410C22semidirect
90. #2410C22semidirect
91. #2410C22semidirect
92. C2×#400C22semidirect
93. C2×#400C22semidirect
94. C2×#400C22semidirect
95. C2×#400C22semidirect
96. C2×#400C22semidirect
97. C2×#400C22semidirect
98. C2×#399C22semidirect
99. C2×#399C22semidirect
100. C2×#398C22semidirect
101. C2×#398C22semidirect
102. C2×#398C22semidirect
107. C2×#397C22semidirect
108. C2×#397C22semidirect
109. C2×#397C22semidirect
110. C2×#397C22semidirect
111. C2×#397C22semidirect
112. C2×#397C22semidirect
113. C2×#397C22semidirect
114. C2×#397C22semidirect
115. C2×#397C22semidirect
116. C2×#397C22semidirect
117. C2×#397C22semidirect
119. C2×#396C22semidirect
120. C2×#396C22semidirect
121. C2×#396C22semidirect
122. C2×#396C22semidirect
123. C2×#396C22semidirect
134. C2×#394C22semidirect
135. C2×#394C22semidirect
136. C2×#394C22semidirect
137. C2×#394C22semidirect
138. C2×#394C22semidirect
139. C2×#394C22semidirect
140. C2×#394C22semidirect
148. C2×#392C22semidirect
149. C2×#392C22semidirect
150. C2×#392C22semidirect
151. C2×#392C22semidirect
152. C2×#392C22semidirect
153. C2×#392C22semidirect
154. C2×#392C22semidirect
155. C2×#392C22semidirect
157. C2×#390C22semidirect
158. C2×#390C22semidirect
159. C2×#390C22semidirect
160. C2×#390C22semidirect
161. C2×#389C22semidirect
164. C2×#388C22semidirect
165. C2×#388C22semidirect
166. C2×#388C22semidirect
167. C2×#388C22semidirect
168. C2×#388C22semidirect
169. C2×#387C22semidirect
180. C2×#386C22semidirect
181. C2×#386C22semidirect
182. C2×#386C22semidirect
183. C2×#386C22semidirect
184. C2×#386C22semidirect
185. C2×#386C22semidirect
186. C2×#386C22semidirect
187. C2×#386C22semidirect
188. C2×#386C22semidirect
189. C2×#386C22semidirect
190. C2×#386C22semidirect
191. C2×#386C22semidirect
195. C2×#385C22semidirect
196. C2×#385C22semidirect
197. C2×#385C22semidirect
198. C2×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
206. C2×#383C22semidirect
207. C2×#382C22semidirect
208. C2×#381C22semidirect
209. C2×#381C22semidirect
210. C2×#381C22semidirect
211. C2×#381C22semidirect
212. C2×#381C22semidirect
213. C2×#380C22semidirect
214. C2×#380C22semidirect
218. C2×C4×C22⋊C4C22semidirect
258. C2×#126C23semidirect
261. C2×#123C23semidirect
262. C2×#123C23semidirect
284. C2×#121C23semidirect
285. C2×#121C23semidirect
286. C2×#121C23semidirect
287. C2×#121C23semidirect
288. C2×#121C23semidirect
303. C2×C4×D4C23semidirect
304. C2×C4×D4C23semidirect
396. #400C23semidirect
397. #400C23semidirect
398. #400C23semidirect
399. #400C23semidirect
400. #400C23semidirect
401. #400C23semidirect
402. #399C23semidirect
403. #399C23semidirect
404. #398C23semidirect
405. #398C23semidirect
406. #398C23semidirect
411. #397C23semidirect
412. #397C23semidirect
413. #397C23semidirect
414. #397C23semidirect
415. #397C23semidirect
416. #397C23semidirect
417. #397C23semidirect
418. #397C23semidirect
419. #397C23semidirect
420. #397C23semidirect
421. #397C23semidirect
423. #396C23semidirect
424. #396C23semidirect
425. #396C23semidirect
426. #396C23semidirect
427. #396C23semidirect
438. #394C23semidirect
439. #394C23semidirect
440. #394C23semidirect
441. #394C23semidirect
442. #394C23semidirect
443. #394C23semidirect
444. #394C23semidirect
452. #392C23semidirect
453. #392C23semidirect
454. #392C23semidirect
455. #392C23semidirect
456. #392C23semidirect
457. #392C23semidirect
458. #392C23semidirect
459. #392C23semidirect
461. #390C23semidirect
462. #390C23semidirect
463. #390C23semidirect
464. #390C23semidirect
465. #389C23semidirect
468. #388C23semidirect
469. #388C23semidirect
470. #388C23semidirect
471. #388C23semidirect
472. #388C23semidirect
473. #387C23semidirect
484. #386C23semidirect
485. #386C23semidirect
486. #386C23semidirect
487. #386C23semidirect
488. #386C23semidirect
489. #386C23semidirect
490. #386C23semidirect
491. #386C23semidirect
492. #386C23semidirect
493. #386C23semidirect
494. #386C23semidirect
495. #386C23semidirect
499. #385C23semidirect
500. #385C23semidirect
501. #385C23semidirect
502. #385C23semidirect
503. #385C23semidirect
504. #385C23semidirect
505. #385C23semidirect
506. #385C23semidirect
507. #385C23semidirect
508. #385C23semidirect
509. #385C23semidirect
510. #383C23semidirect
511. #382C23semidirect
512. #381C23semidirect
513. #381C23semidirect
514. #381C23semidirect
515. #381C23semidirect
516. #381C23semidirect
517. #380C23semidirect
518. #380C23semidirect
522. C4×C22⋊C4C23semidirect
1741. C2#56546direct (N × H)

Maximal subgroups

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

subgroupindex
#565462
C2×#27822
C2×#27572
C2×#27502
C2×#27492
C2×#27142
C2×#27082
C2×#27012
C2×#26882
C2×#26782
C2×#26752
C2×#26712
C2×#26682
C2×#28272
C2×#28152
C2×#24832
C2×#24202
C2×#24642
C2×#24802
C2×#24242
C2×#24102
C2×#26362
C2×#26352
C2×#26172