Finite Group Databasebeta

← C2×#38572 #7635883

Subgroups — C2×#38572 #7635883

Order 512.

8220 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2803C211yesmaximal, characteristic, complemented
2C2×#2797C211yesmaximal, characteristic, complemented
3C2×#2797C211yesmaximal, characteristic, complemented
4C2×#2786C211yesmaximal, characteristic, complemented
5C2×#2784C211yesmaximal, characteristic, complemented
6C2×#2697C211yesmaximal, characteristic, complemented
7C2×#2696C211yesmaximal, characteristic, complemented
8C2×#2685C211yesmaximal, characteristic, complemented
9#38572C2132yesmaximal, direct product factor
10C2×#2853C211yesmaximal, characteristic, complemented
11C2×#2595C211yesmaximal, characteristic, complemented
12C2×#2561C211yesmaximal, characteristic, complemented
13C2×#2554C211yesmaximal, characteristic, complemented
14C2×#2534C211yesmaximal, characteristic, complemented
15C2×#2467C211yesmaximal, characteristic, complemented
16C2×#2481C211yesmaximal, characteristic, complemented
17C2×#2480C211yesmaximal, characteristic, complemented
18C2×#2472C211yesmaximal, characteristic, complemented
19C2×#2472C211yesmaximal, characteristic, complemented
20C2×#2412C211yesmaximal, characteristic, complemented
21C2×#2405C211yesmaximal, characteristic, complemented
22C2×#2405C211yesmaximal, characteristic, complemented
23C2×#2449C211yesmaximal, characteristic, complemented
24C2×#2403C211yesmaximal, characteristic
25C2×#2662C211yesmaximal, characteristic, complemented
26C2×#2648C211yesmaximal, characteristic, complemented
27C2×#2358C211yesmaximal, characteristic, complemented
28C2×D4×C22⋊C4C211yesmaximal, characteristic, complemented
29C2×#2335C211yesmaximal, characteristic, complemented
30C2×#2321C211yesmaximal, characteristic, complemented
31C2×C4×#123C211yesmaximal, characteristic, complemented
32C22×#390C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C24×D4C2211yescharacteristic
35C22×#126C2211yescharacteristic, complemented
36C22×#126C2211yescharacteristic, complemented
37C22×#124C2211yescharacteristic, complemented
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic
41C22×#123C2211yescharacteristic, complemented
42C22×C22⋊Q8C2211yescharacteristic, complemented
43C22×C22⋊Q8C2211yescharacteristic, complemented
44C22×#120C2211yescharacteristic
45C22×#120C2211yescharacteristic
46C22×#120C2211yescharacteristic
47C22×#120C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic, complemented
51C23×C4⋊C4C2211yescharacteristic, complemented
52C23×C22⋊C4C2211yescharacteristic
53C23×C22⋊C4C2211yescharacteristic
54C23×C22⋊C4C2211yescharacteristic, complemented
55C23×C22⋊C4C2211yescharacteristic, complemented
56C23×C22⋊C4C2211yescharacteristic, complemented
57C23×C22⋊C4C2211yescharacteristic, complemented
58C23×C42C2211yescharacteristic, complemented
59#2853C22116yescomplemented
60#2803C22116yescomplemented
61#2797C22116yescomplemented
62#2797C22116yescomplemented
63#2786C22116yescomplemented
64#2784C22116yescomplemented
65#2697C22116yescomplemented
66#2696C22116yescomplemented
67#2685C22116yescomplemented
68#2662C22116yescomplemented
69#2648C22116yescomplemented
70#2595C22116yescomplemented
71#2561C22116yescomplemented
72#2554C22116yescomplemented
73#2534C22116yescomplemented
74#2481C22116yescomplemented
75#2480C22116yescomplemented
76#2472C22116yescomplemented
77#2472C22116yescomplemented
78#2467C22116yescomplemented
79#2449C22116yescomplemented
80#2412C22116yescomplemented
81#2405C22116yescomplemented
82#2405C22116yescomplemented
83#2403C22116yes—
84C2×#400C2211yescharacteristic, complemented
85C2×#400C2211yescharacteristic, complemented
86C2×#399C2211yescharacteristic, complemented
87C2×#398C2211yescharacteristic, complemented
88C2×#397C2211yescharacteristic, complemented
89C2×#397C2211yescharacteristic, complemented
90C2×#397C2211yescharacteristic, complemented
91C2×#397C2211yescharacteristic, complemented
92C2×#397C2211yescharacteristic, complemented
93C2×#397C2211yescharacteristic, complemented
94C2×#397C2211yescharacteristic, complemented
95C2×#397C2211yescharacteristic, complemented
96C2×#397C2211yescharacteristic, complemented
97C2×#396C2211yescharacteristic, complemented
98C2×#396C2211yescharacteristic, complemented
99C2×#396C2211yescharacteristic, complemented
100C2×#396C2211yescharacteristic, complemented
101C2×#396C2211yescharacteristic, complemented
102C2×#395C2211yescharacteristic, complemented
103C2×#394C2211yescharacteristic
104C2×#394C2211yescharacteristic
105C2×#394C2211yescharacteristic, complemented
106C2×#394C2211yescharacteristic, complemented
107C2×#394C2211yescharacteristic, complemented
108C2×#394C2211yescharacteristic, complemented
109C2×#394C2211yescharacteristic, complemented
110C2×#394C2211yescharacteristic, complemented
111C2×#394C2211yescharacteristic, complemented
112C2×#394C2211yescharacteristic, complemented
113C2×#394C2211yescharacteristic, complemented
114C2×#394C2211yescharacteristic, complemented
115C2×#394C2211yescharacteristic, complemented
116C2×#394C2211yescharacteristic, complemented
117C2×#393C2211yescharacteristic, complemented
118C2×#393C2211yescharacteristic, complemented
119C2×#393C2211yescharacteristic, complemented
120C2×#392C2211yescharacteristic
121C2×#392C2211yescharacteristic
122C2×#392C2211yescharacteristic
123C2×#392C2211yescharacteristic
124#2358C22116yescomplemented
125D4×C22⋊C4C22116yescomplemented
126#2335C22116yescomplemented
127#2321C22116yescomplemented
128C4×#123C22116yescomplemented
129C2×#390C2211yescharacteristic
130C2×#390C2211yescharacteristic
131C2×#390C2211yescharacteristic
132C2×#390C2211yescharacteristic
133C2×#390C2211yescharacteristic, complemented
134C2×#390C2211yescharacteristic, complemented
135C2×#390C2211yescharacteristic, complemented
136C2×#390C2211yescharacteristic, complemented
137C2×#390C2211yescharacteristic, complemented
138C2×#390C2211yescharacteristic, complemented
139C2×#390C2211yescharacteristic, complemented
140C2×#390C2211yescharacteristic, complemented
141C2×#390C22116yescomplemented
142C2×#389C2211yescharacteristic, complemented
143C2×#388C2211yescharacteristic, complemented
144C2×#388C2211yescharacteristic, complemented
145C2×#388C2211yescharacteristic, complemented
146C2×#388C2211yescharacteristic, complemented
147C2×#388C2211yescharacteristic, complemented
148C2×#388C2211yescharacteristic, complemented
149C2×#388C2211yescharacteristic, complemented
150C2×#388C2211yescharacteristic, complemented
151C2×#388C2211yescharacteristic, complemented
152C2×#388C2211yescharacteristic, complemented
153C2×#388C2211yescharacteristic, complemented
154C2×#388C2211yescharacteristic, complemented
155C2×#388C2211yescharacteristic, complemented
156C2×#388C2211yescharacteristic, complemented
157C2×#388C2211yescharacteristic, complemented
158C2×#388C2211yescharacteristic, complemented
159C2×#388C2211yescharacteristic, complemented
160C2×#388C2211yescharacteristic, complemented
161C2×#388C2211yescharacteristic, complemented
162C2×#388C2211yescharacteristic, complemented
163C2×#387C2211yescharacteristic, complemented
164C2×#387C2211yescharacteristic, complemented
165C2×#387C2211yescharacteristic, complemented
166C2×#387C2211yescharacteristic, complemented
167C2×#387C2211yescharacteristic, complemented
168C2×#387C2211yescharacteristic, complemented
169C2×#387C2211yescharacteristic, complemented
170C2×#387C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
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×#385C2211yescharacteristic, complemented
191C2×#385C2211yescharacteristic, complemented
192C2×#385C2211yescharacteristic, complemented
193C2×#385C2211yescharacteristic, complemented
194C2×#385C2211yescharacteristic, complemented
195C2×#385C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic, complemented
197C2×#385C2211yescharacteristic, complemented
198C2×#381C2211yescharacteristic, complemented
199C2×#381C2211yescharacteristic, complemented
200C2×#380C2211yescharacteristic, complemented
201C2×#380C2211yescharacteristic, complemented
202C2×#380C2211yescharacteristic, complemented
203C2×#380C2211yescharacteristic, complemented
204C2×#379C2211yescharacteristic
205C2×#379C2211yescharacteristic
206C2×#379C2211yescharacteristic
207C2×#379C2211yescharacteristic, complemented
208C2×#379C2211yescharacteristic, complemented
209C2×#379C2211yescharacteristic, complemented
210C2×#379C2211yescharacteristic, complemented
211C2×C4×C4⋊C4C2211yescharacteristic, complemented
212C2×C4×C4⋊C4C2211yescharacteristic, complemented
213C2×C4×C22⋊C4C2211yescharacteristic, complemented
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
220C26C2311yescharacteristic
221C26C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4—28no—
224C23×D4—28no—
225C23×D4—44no—
226C23×D4—44no—
227C23×D4—44no—
228C23×D4—44no—
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2318yes—
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2318yes—
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C2×#126—44no—
254C2×#126—44no—
255C2×#126C2318yescomplemented
256C2×#126C2318yescomplemented
257C2×#124—44no—
258C2×#124C2318yescomplemented
259C2×#123—28no—
260C2×#123—28no—
261C2×#123—44no—
262C2×#123—44no—
263C2×#123C2318yes—
264C2×#123C2318yes—
265C2×#123C2318yes—
266C2×#123C2318yescomplemented
267C2×C22⋊Q8—44no—
268C2×C22⋊Q8—44no—
269C2×C22⋊Q8C2318yescomplemented
270C2×C22⋊Q8C2318yescomplemented
271C2×#120—28no—
272C2×#120—28no—
273C2×#120—44no—
274C2×#120—44no—
275C2×#120C2318yes—
276C2×#120C2318yes—
277C2×#120C2318yes—
278C2×#120C2318yes—
279C2×C4×D4—44no—
280C2×C4×D4—44no—
281C2×C4×D4—44no—
282C2×C4×D4C2318yes—
283C2×C4×D4C2318yes—
284C2×C4×D4C2318yescomplemented
285C22×C4⋊C4—44no—
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
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⋊C4C2318yescomplemented
310C22×C22⋊C4—44no—
311C22×C22⋊C4—44no—
312C22×C22⋊C4—44no—
313C22×C22⋊C4—44no—
314C22×C22⋊C4—44no—
315C22×C22⋊C4—44no—
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
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⋊C4C2318yes—
340C22×C22⋊C4C2318yes—
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2318yescomplemented
381C22×C22⋊C4C2318yescomplemented
382C22×C22⋊C4C2318yescomplemented
383C22×C22⋊C4C2318yescomplemented
384C22×C42—44no—
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2318yescomplemented
396#400C2318yescomplemented
397#400C2318yescomplemented
398#399C2318yescomplemented
399#398C2318yescomplemented
400#397C2318yescomplemented
401#397C2318yescomplemented
402#397C2318yescomplemented
403#397C2318yescomplemented
404#397C2318yescomplemented
405#397C2318yescomplemented
406#397C2318yescomplemented
407#397C2318yescomplemented
408#397C2318yescomplemented
409#396C2318yescomplemented
410#396C2318yescomplemented
411#396C2318yescomplemented
412#396C2318yescomplemented
413#396C2318yescomplemented
414#395C2318yescomplemented
415#394C2318yes—
416#394C2318yes—
417#394C2318yescomplemented
418#394C2318yescomplemented
419#394C2318yescomplemented
420#394C2318yescomplemented
421#394C2318yescomplemented
422#394C2318yescomplemented
423#394C2318yescomplemented
424#394C2318yescomplemented
425#394C2318yescomplemented
426#394C2318yescomplemented
427#394C2318yescomplemented
428#394C2318yescomplemented
429#393C2318yescomplemented
430#393C2318yescomplemented
431#393C2318yescomplemented
432#392C2318yes—
433#392C2318yes—
434#392C2318yes—
435#392C2318yes—
436#390C2318yes—
437#390C2318yes—
438#390C2318yes—
439#390C2318yes—
440#390C2318yescomplemented
441#390C2318yescomplemented
442#390C2318yescomplemented
443#390C2318yescomplemented
444#390C2318yescomplemented
445#390C2318yescomplemented
446#390C2318yescomplemented
447#390C2318yescomplemented
448#389C2318yescomplemented
449#388C2318yescomplemented
450#388C2318yescomplemented
451#388C2318yescomplemented
452#388C2318yescomplemented
453#388C2318yescomplemented
454#388C2318yescomplemented
455#388C2318yescomplemented
456#388C2318yescomplemented
457#388C2318yescomplemented
458#388C2318yescomplemented
459#388C2318yescomplemented
460#388C2318yescomplemented
461#388C2318yescomplemented
462#388C2318yescomplemented
463#388C2318yescomplemented
464#388C2318yescomplemented
465#388C2318yescomplemented
466#388C2318yescomplemented
467#388C2318yescomplemented
468#388C2318yescomplemented
469#387C2318yescomplemented
470#387C2318yescomplemented
471#387C2318yescomplemented
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#386C2318yescomplemented
490#386C2318yescomplemented
491#386C2318yescomplemented
492#386C2318yescomplemented
493#386C2318yescomplemented
494#386C2318yescomplemented
495#386C2318yescomplemented
496#385C2318yescomplemented
497#385C2318yescomplemented
498#385C2318yescomplemented
499#385C2318yescomplemented
500#385C2318yescomplemented
501#385C2318yescomplemented
502#385C2318yescomplemented
503#385C2318yescomplemented
504#381C2318yescomplemented
505#381C2318yescomplemented
506#380C2318yescomplemented
507#380C2318yescomplemented
508#380C2318yescomplemented
509#380C2318yescomplemented
510#379C2318yes—
511#379C2318yes—
512#379C2318yes—
513#379C2318yescomplemented
514#379C2318yescomplemented
515#379C2318yescomplemented
516#379C2318yescomplemented
517C4×C4⋊C4C2318yescomplemented
518C4×C4⋊C4C2318yescomplemented
519C4×C22⋊C4C2318yescomplemented
520C4×C22⋊C4C2318yescomplemented
521C4×C22⋊C4C2318yescomplemented
522C4×C22⋊C4C2318yescomplemented
523C4×C22⋊C4C2318yescomplemented
524C4×C22⋊C4C2318yescomplemented
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—24no—
565C25—24no—
566C25—24no—
567C25—24no—
568C25—24no—
569C25—42no—
570C25—42no—
571C25—42no—
572C25—42no—
573C25—42no—
574C25—42no—
575C25—42no—
576C25—42no—
577C25—42no—
578C25—42no—
579C25—42no—
580C25C2411yescharacteristic
581C25C2411yescharacteristic
582C25C2411yescharacteristic
583C25C2411yescharacteristic
584C25C2411yescharacteristic
585C25C2411yescharacteristic
586C25C2414yes—
587C25C2414yes—
588C25C2411yescharacteristic
589C25C2414yes—
590C22×Q8—42no—
591C22×Q8—42no—
592C22×Q8—42no—
593C22×Q8C2414yes—
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—24no—
603C22×D4—24no—
604C22×D4—24no—
605C22×D4—24no—
606C22×D4—232no—
607C22×D4—232no—
608C22×D4—24no—
609C22×D4—24no—
610C22×D4—24no—
611C22×D4—24no—
612C22×D4—416no—
613C22×D4—42no—
614C22×D4—42no—
615C22×D4—42no—
616C22×D4—42no—
617C22×D4—42no—
618C22×D4—416no—
619C22×D4—42no—
620C22×D4—42no—
621C22×D4—42no—
622C22×D4—42no—
623C22×D4—42no—
624C22×D4—42no—
625C22×D4—464no—
626C22×D4—42no—
627C22×D4—42no—
628C22×D4—42no—
629C22×D4—42no—
630C22×D4—42no—
631C22×D4—42no—
632C22×D4—42no—
633C22×D4—416no—
634C22×D4—416no—
635C22×D4—464no—
636C22×D4#4118yes—
637C22×D4#4118yes—
638C22×D4C2414yes—
639C22×D4C2414yes—
640C22×D4C2414yes—
641C22×D4C2414yes—
642C22×D4C2414yes—
643C22×D4C2414yes—
644C22×D4C2414yes—
645C22×D4C2414yes—
646C22×D4C2414yes—
647C22×D4C2414yes—
648C22×D4C2414yes—
649C22×D4C2414yes—
650C23×C4—24no—
651C23×C4—24no—
652C23×C4—24no—
653C23×C4—24no—
654C23×C4—24no—
655C23×C4—24no—
656C23×C4—24no—
657C23×C4—24no—
658C23×C4—24no—
659C23×C4—24no—
660C23×C4—24no—
661C23×C4—24no—
662C23×C4—24no—
663C23×C4—42no—
664C23×C4—42no—
665C23×C4—42no—
666C23×C4—42no—
667C23×C4—42no—
668C23×C4—42no—
669C23×C4—42no—
670C23×C4—42no—
671C23×C4—42no—
672C23×C4—42no—
673C23×C4—42no—
674C23×C4—42no—
675C23×C4—42no—
676C23×C4—42no—
677C23×C4—42no—
678C23×C4—42no—
679C23×C4—42no—
680C23×C4C2414yes—
681C23×C4C2414yes—
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2411yescharacteristic
690C23×C4C2411yescharacteristic
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701C23×C4C2411yescharacteristic
702C23×C4C2414yes—
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2414yes—
708C23×C4C2414yes—
709C23×C4C2414yes—
710C23×C4C2414yes—
711C23×C4C2414yes—
712C23×C4C2414yes—
713C23×C4C2414yes—
714#126—416no—
715#126—416no—
716#124—416no—
717#123—232no—
718#123—232no—
719#123—416no—
720#123—416no—
721C22⋊Q8—416no—
722C22⋊Q8—416no—
723#120—232no—
724#120—232no—
725#120—416no—
726#120—416no—
727C4×D4—416no—
728C4×D4—416no—
729C4×D4—416no—
730C2×C4⋊C4—24no—
731C2×C4⋊C4—24no—
732C2×C4⋊C4—24no—
733C2×C4⋊C4—24no—
734C2×C4⋊C4—24no—
735C2×C4⋊C4—24no—
736C2×C4⋊C4—24no—
737C2×C4⋊C4—24no—
738C2×C4⋊C4—24no—
739C2×C4⋊C4—416no—
740C2×C4⋊C4—42no—
741C2×C4⋊C4—42no—
742C2×C4⋊C4—42no—
743C2×C4⋊C4—42no—
744C2×C4⋊C4—42no—
745C2×C4⋊C4—42no—
746C2×C4⋊C4—42no—
747C2×C4⋊C4—42no—
748C2×C4⋊C4—42no—
749C2×C4⋊C4—42no—
750C2×C4⋊C4—42no—
751C2×C4⋊C4—42no—
752C2×C4⋊C4—42no—
753C2×C4⋊C4—42no—
754C2×C4⋊C4C2414yes—
755C2×C4⋊C4C2414yes—
756C2×C4⋊C4C2414yes—
757C2×C4⋊C4C2414yes—
758C2×C4⋊C4C2414yes—
759C2×C4⋊C4C2414yes—
760C2×C4⋊C4C2414yes—
761C2×C4⋊C4C2414yes—
762C2×C4⋊C4C2414yes—
763C2×C4⋊C4C2414yes—
764C2×C4⋊C4C2414yes—
765C2×C4⋊C4C2414yes—
766C2×C4⋊C4C2414yes—
767C2×C4⋊C4C2414yes—
768C2×C4⋊C4C2414yes—
769C2×C4⋊C4C2414yes—
770C2×C4⋊C4C2414yes—
771C2×C4⋊C4C2414yes—
772C2×C4⋊C4C2414yes—
773C2×C4⋊C4C2414yes—
774C2×C4⋊C4C2414yes—
775C2×C4⋊C4C2414yes—
776C2×C4⋊C4C2414yes—
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—24no—
795C2×C22⋊C4—24no—
796C2×C22⋊C4—24no—
797C2×C22⋊C4—24no—
798C2×C22⋊C4—24no—
799C2×C22⋊C4—24no—
800C2×C22⋊C4—416no—
801C2×C22⋊C4—416no—
802C2×C22⋊C4—416no—
803C2×C22⋊C4—416no—
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—42no—
817C2×C22⋊C4—42no—
818C2×C22⋊C4—42no—
819C2×C22⋊C4—42no—
820C2×C22⋊C4—416no—
821C2×C22⋊C4—416no—
822C2×C22⋊C4—42no—
823C2×C22⋊C4—42no—
824C2×C22⋊C4—42no—
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⋊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×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×C42—24no—
908C2×C42—42no—
909C2×C42—42no—
910C2×C42—42no—
911C2×C42—42no—
912C2×C42—42no—
913C2×C42—42no—
914C2×C42—42no—
915C2×C42—42no—
916C2×C42—416no—
917C2×C42—42no—
918C2×C42C2414yes—
919C2×C42C2414yes—
920C2×C42C2414yes—
921C2×C42C2414yes—
922C2×C42C2414yes—
923C2×C42C2414yes—
924C2×C42C2414yes—
925C2×C42C2414yes—
926C2×C42C2414yes—
927C2×C42C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
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—
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—22no—
984C24—22no—
985C24—22no—
986C24—28no—
987C24—28no—
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—28no—
1008C24—28no—
1009C24—28no—
1010C24—28no—
1011C24—28no—
1012C24—28no—
1013C24—28no—
1014C24—28no—
1015C24—44no—
1016C24—44no—
1017C24—44no—
1018C24—44no—
1019C24—44no—
1020C24—44no—
1021C24—44no—
1022C24—44no—
1023C24—44no—
1024C24—44no—
1025C24—44no—
1026C24—416no—
1027C24—416no—
1028C24—416no—
1029C24—416no—
1030C24—416no—
1031C24—416no—
1032C24—416no—
1033C24—416no—
1034C24—416no—
1035C24—416no—
1036C24—88no—
1037C24—88no—
1038C24—88no—
1039C24—88no—
1040C24—88no—
1041C24—88no—
1042C24—88no—
1043C24—88no—
1044C24—88no—
1045C24—88no—
1046C24—88no—
1047C24C2×#4114yes—
1048C24C2×#4114yes—
1049C24C2×#4114yes—
1050C24C2×#4114yes—
1051C24H(5,𝔽2)14yes—
1052C24H(5,𝔽2)14yes—
1053C24C2512yes—
1054C24C2512yes—
1055C24C2512yes—
1056C24C2512yes—
1057C24C2512yes—
1058C24C2512yes—
1059C24C2512yes—
1060C24C2511yescharacteristic
1061C2×Q8—44no—
1062C2×Q8—44no—
1063C2×Q8—44no—
1064C2×Q8—88no—
1065C2×D4—232no—
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—44no—
1083C2×D4—416no—
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—44no—
1093C2×D4—44no—
1094C2×D4—416no—
1095C2×D4—416no—
1096C2×D4—4128no—
1097C2×D4—416no—
1098C2×D4—416no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—4128no—
1107C2×D4—416no—
1108C2×D4—416no—
1109C2×D4—416no—
1110C2×D4—88no—
1111C2×D4—88no—
1112C2×D4—88no—
1113C2×D4C2×#41116yes—
1114C2×D4C2×#41116yes—
1115C22×C4—232no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—28no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—28no—
1126C22×C4—28no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—28no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—28no—
1147C22×C4—28no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
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—28no—
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—28no—
1192C22×C4—28no—
1193C22×C4—28no—
1194C22×C4—28no—
1195C22×C4—28no—
1196C22×C4—28no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—416no—
1215C22×C4—416no—
1216C22×C4—416no—
1217C22×C4—88no—
1218C22×C4—88no—
1219C22×C4—88no—
1220C22×C4—88no—
1221C22×C4—88no—
1222C22×C4—88no—
1223C22×C4C2×#4114yes—
1224C22×C4C2×#4114yes—
1225C22×C4H(5,𝔽2)14yes—
1226C22×C4H(5,𝔽2)14yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C4⋊C4—28no—
1252C4⋊C4—28no—
1253C4⋊C4—28no—
1254C4⋊C4—28no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—28no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
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—
1336C42—28no—
1337C42—44no—
1338C42—44no—
1339C42—44no—
1340C42—44no—
1341C42—44no—
1342C42—44no—
1343C42—44no—
1344C42—44no—
1345C42—44no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—28no—
1351C23—28no—
1352C23—28no—
1353C23—28no—
1354C23—28no—
1355C23—28no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—28no—
1375C23—28no—
1376C23—28no—
1377C23—28no—
1378C23—28no—
1379C23—28no—
1380C23—28no—
1381C23—28no—
1382C23—28no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—416no—
1405C23—416no—
1406C23—416no—
1407C23—416no—
1408C23—416no—
1409C23—416no—
1410C23—416no—
1411C23—416no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—416no—
1425C23—44no—
1426C23—44no—
1427C23—416no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—44no—
1438C23—44no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—88no—
1448C23—88no—
1449C23—88no—
1450C23—88no—
1451C23—88no—
1452C23—88no—
1453C23—88no—
1454C23—88no—
1455C23—88no—
1456C23—864no—
1457C23—864no—
1458C23—88no—
1459C23—88no—
1460C23—864no—
1461C23#538116yes—
1462C23C22×#4114yes—
1463C23C22×#4114yes—
1464C23C22×#4114yes—
1465C23C22×#4114yes—
1466C23C22×#4112yes—
1467C23C22×#4112yes—
1468C23C2×H(5,𝔽2)14yes—
1469C23C2×H(5,𝔽2)14yes—
1470C23C2×H(5,𝔽2)12yes—
1471C23C2×H(5,𝔽2)12yes—
1472C23C2×H(5,𝔽2)12yes—
1473C23C2×H(5,𝔽2)12yes—
1474C23#58512yes—
1475C23C2611yescharacteristic
1476Q8—88no—
1477D4—232no—
1478D4—416no—
1479D4—416no—
1480D4—416no—
1481D4—416no—
1482D4—416no—
1483D4—416no—
1484D4—416no—
1485D4—416no—
1486D4—88no—
1487D4—88no—
1488D4—88no—
1489C2×C4—232no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—28no—
1499C2×C4—28no—
1500C2×C4—28no—
1501C2×C4—28no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
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—416no—
1563C2×C4—416no—
1564C2×C4—416no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—88no—
1586C2×C4—88no—
1587C2×C4—88no—
1588C2×C4—88no—
1589C2×C4—88no—
1590C2×C4—88no—
1591C2×C4C22×#4114yes—
1592C2×C4C22×#4114yes—
1593C2×C4C2×H(5,𝔽2)14yes—
1594C2×C4C2×H(5,𝔽2)14yes—
1595C22—24no—
1596C22—24no—
1597C22—24no—
1598C22—24no—
1599C22—24no—
1600C22—232no—
1601C22—24no—
1602C22—24no—
1603C22—24no—
1604C22—24no—
1605C22—24no—
1606C22—24no—
1607C22—24no—
1608C22—24no—
1609C22—24no—
1610C22—24no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—416no—
1622C22—416no—
1623C22—416no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—832no—
1648C22—832no—
1649C22—832no—
1650C22—88no—
1651C22—88no—
1652C22—88no—
1653C22C2×#53818yes—
1654C22C2×#53814yes—
1655C22#348114yes—
1656C22#349014yes—
1657C22#351314yes—
1658C22#351414yes—
1659C22#353414yes—
1660C22#354314yes—
1661C22C23×#4111yescharacteristic
1662C22C23×#4111yescharacteristic
1663C22C22×H(5,𝔽2)11yescharacteristic
1664C22C22×H(5,𝔽2)11yescharacteristic
1665C22C22×H(5,𝔽2)11yescharacteristic
1666C22C22×H(5,𝔽2)11yescharacteristic
1667C22C2×#58511yescharacteristic
1668C4—24no—
1669C4—24no—
1670C4—24no—
1671C4—24no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C2—28no—
1693C2—44no—
1694C2—44no—
1695C2—44no—
1696C2—82no—
1697C2—82no—
1698C2—82no—
1699C2#3857218yesdirect product factor
1700C2C22×#53811yescharacteristic
1701C2C2×#348111yescharacteristic
1702C2C2×#353411yescharacteristic
1703C2C2×#354311yescharacteristic
1704C2C2×#349011yescharacteristic
1705C2C2×#351311yescharacteristic
1706C2C2×#351411yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2403C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2803C2semidirect
2. C2×#2797C2semidirect
3. C2×#2797C2semidirect
4. C2×#2786C2semidirect
5. C2×#2784C2semidirect
6. C2×#2697C2semidirect
7. C2×#2696C2semidirect
8. C2×#2685C2semidirect
9. #38572C2direct (N × H)
10. C2×#2853C2semidirect
11. C2×#2595C2semidirect
12. C2×#2561C2semidirect
13. C2×#2554C2semidirect
14. C2×#2534C2semidirect
15. C2×#2467C2semidirect
16. C2×#2481C2semidirect
17. C2×#2480C2semidirect
18. C2×#2472C2semidirect
19. C2×#2472C2semidirect
20. C2×#2412C2semidirect
21. C2×#2405C2semidirect
22. C2×#2405C2semidirect
23. C2×#2449C2semidirect
25. C2×#2662C2semidirect
26. C2×#2648C2semidirect
27. C2×#2358C2semidirect
28. C2×D4×C22⋊C4C2semidirect
29. C2×#2335C2semidirect
30. C2×#2321C2semidirect
31. C2×C4×#123C2semidirect
32. C22×#390C2semidirect
35. C22×#126C22semidirect
36. C22×#126C22semidirect
37. C22×#124C22semidirect
41. C22×#123C22semidirect
42. C22×C22⋊Q8C22semidirect
43. C22×C22⋊Q8C22semidirect
50. C22×C4×D4C22semidirect
51. C23×C4⋊C4C22semidirect
54. C23×C22⋊C4C22semidirect
55. C23×C22⋊C4C22semidirect
56. C23×C22⋊C4C22semidirect
57. C23×C22⋊C4C22semidirect
58. C23×C42C22semidirect
59. #2853C22semidirect
60. #2803C22semidirect
61. #2797C22semidirect
62. #2797C22semidirect
63. #2786C22semidirect
64. #2784C22semidirect
65. #2697C22semidirect
66. #2696C22semidirect
67. #2685C22semidirect
68. #2662C22semidirect
69. #2648C22semidirect
70. #2595C22semidirect
71. #2561C22semidirect
72. #2554C22semidirect
73. #2534C22semidirect
74. #2481C22semidirect
75. #2480C22semidirect
76. #2472C22semidirect
77. #2472C22semidirect
78. #2467C22semidirect
79. #2449C22semidirect
80. #2412C22semidirect
81. #2405C22semidirect
82. #2405C22semidirect
84. C2×#400C22semidirect
85. C2×#400C22semidirect
86. C2×#399C22semidirect
87. C2×#398C22semidirect
88. C2×#397C22semidirect
89. C2×#397C22semidirect
90. C2×#397C22semidirect
91. C2×#397C22semidirect
92. C2×#397C22semidirect
93. C2×#397C22semidirect
94. C2×#397C22semidirect
95. C2×#397C22semidirect
96. C2×#397C22semidirect
97. C2×#396C22semidirect
98. C2×#396C22semidirect
99. C2×#396C22semidirect
100. C2×#396C22semidirect
101. C2×#396C22semidirect
102. C2×#395C22semidirect
105. C2×#394C22semidirect
106. C2×#394C22semidirect
107. C2×#394C22semidirect
108. C2×#394C22semidirect
109. C2×#394C22semidirect
110. C2×#394C22semidirect
111. C2×#394C22semidirect
112. C2×#394C22semidirect
113. C2×#394C22semidirect
114. C2×#394C22semidirect
115. C2×#394C22semidirect
116. C2×#394C22semidirect
117. C2×#393C22semidirect
118. C2×#393C22semidirect
119. C2×#393C22semidirect
124. #2358C22semidirect
125. D4×C22⋊C4C22semidirect
126. #2335C22semidirect
127. #2321C22semidirect
128. C4×#123C22semidirect
133. C2×#390C22semidirect
134. C2×#390C22semidirect
135. C2×#390C22semidirect
136. C2×#390C22semidirect
137. C2×#390C22semidirect
138. C2×#390C22semidirect
139. C2×#390C22semidirect
140. C2×#390C22semidirect
141. C2×#390C22semidirect
142. C2×#389C22semidirect
143. C2×#388C22semidirect
144. C2×#388C22semidirect
145. C2×#388C22semidirect
146. C2×#388C22semidirect
147. C2×#388C22semidirect
148. C2×#388C22semidirect
149. C2×#388C22semidirect
150. C2×#388C22semidirect
151. C2×#388C22semidirect
152. C2×#388C22semidirect
153. C2×#388C22semidirect
154. C2×#388C22semidirect
155. C2×#388C22semidirect
156. C2×#388C22semidirect
157. C2×#388C22semidirect
158. C2×#388C22semidirect
159. C2×#388C22semidirect
160. C2×#388C22semidirect
161. C2×#388C22semidirect
162. C2×#388C22semidirect
163. C2×#387C22semidirect
164. C2×#387C22semidirect
165. C2×#387C22semidirect
166. C2×#387C22semidirect
167. C2×#387C22semidirect
168. C2×#387C22semidirect
169. C2×#387C22semidirect
170. C2×#387C22semidirect
171. C2×#387C22semidirect
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×#385C22semidirect
191. C2×#385C22semidirect
192. C2×#385C22semidirect
193. C2×#385C22semidirect
194. C2×#385C22semidirect
195. C2×#385C22semidirect
196. C2×#385C22semidirect
197. C2×#385C22semidirect
198. C2×#381C22semidirect
199. C2×#381C22semidirect
200. C2×#380C22semidirect
201. C2×#380C22semidirect
202. C2×#380C22semidirect
203. C2×#380C22semidirect
207. C2×#379C22semidirect
208. C2×#379C22semidirect
209. C2×#379C22semidirect
210. C2×#379C22semidirect
211. C2×C4×C4⋊C4C22semidirect
212. C2×C4×C4⋊C4C22semidirect
213. C2×C4×C22⋊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
255. C2×#126C23semidirect
256. C2×#126C23semidirect
258. C2×#124C23semidirect
266. C2×#123C23semidirect
269. C2×C22⋊Q8C23semidirect
270. C2×C22⋊Q8C23semidirect
284. C2×C4×D4C23semidirect
309. C22×C4⋊C4C23semidirect
380. C22×C22⋊C4C23semidirect
381. C22×C22⋊C4C23semidirect
382. C22×C22⋊C4C23semidirect
383. C22×C22⋊C4C23semidirect
395. C22×C42C23semidirect
396. #400C23semidirect
397. #400C23semidirect
398. #399C23semidirect
399. #398C23semidirect
400. #397C23semidirect
401. #397C23semidirect
402. #397C23semidirect
403. #397C23semidirect
404. #397C23semidirect
405. #397C23semidirect
406. #397C23semidirect
407. #397C23semidirect
408. #397C23semidirect
409. #396C23semidirect
410. #396C23semidirect
411. #396C23semidirect
412. #396C23semidirect
413. #396C23semidirect
414. #395C23semidirect
417. #394C23semidirect
418. #394C23semidirect
419. #394C23semidirect
420. #394C23semidirect
421. #394C23semidirect
422. #394C23semidirect
423. #394C23semidirect
424. #394C23semidirect
425. #394C23semidirect
426. #394C23semidirect
427. #394C23semidirect
428. #394C23semidirect
429. #393C23semidirect
430. #393C23semidirect
431. #393C23semidirect
440. #390C23semidirect
441. #390C23semidirect
442. #390C23semidirect
443. #390C23semidirect
444. #390C23semidirect
445. #390C23semidirect
446. #390C23semidirect
447. #390C23semidirect
448. #389C23semidirect
449. #388C23semidirect
450. #388C23semidirect
451. #388C23semidirect
452. #388C23semidirect
453. #388C23semidirect
454. #388C23semidirect
455. #388C23semidirect
456. #388C23semidirect
457. #388C23semidirect
458. #388C23semidirect
459. #388C23semidirect
460. #388C23semidirect
461. #388C23semidirect
462. #388C23semidirect
463. #388C23semidirect
464. #388C23semidirect
465. #388C23semidirect
466. #388C23semidirect
467. #388C23semidirect
468. #388C23semidirect
469. #387C23semidirect
470. #387C23semidirect
471. #387C23semidirect
472. #387C23semidirect
473. #387C23semidirect
474. #387C23semidirect
475. #387C23semidirect
476. #387C23semidirect
477. #387C23semidirect
487. #386C23semidirect
488. #386C23semidirect
489. #386C23semidirect
490. #386C23semidirect
491. #386C23semidirect
492. #386C23semidirect
493. #386C23semidirect
494. #386C23semidirect
495. #386C23semidirect
496. #385C23semidirect
497. #385C23semidirect
498. #385C23semidirect
499. #385C23semidirect
500. #385C23semidirect
501. #385C23semidirect
502. #385C23semidirect
503. #385C23semidirect
504. #381C23semidirect
505. #381C23semidirect
506. #380C23semidirect
507. #380C23semidirect
508. #380C23semidirect
509. #380C23semidirect
513. #379C23semidirect
514. #379C23semidirect
515. #379C23semidirect
516. #379C23semidirect
517. C4×C4⋊C4C23semidirect
518. C4×C4⋊C4C23semidirect
519. C4×C22⋊C4C23semidirect
520. C4×C22⋊C4C23semidirect
521. C4×C22⋊C4C23semidirect
522. C4×C22⋊C4C23semidirect
523. C4×C22⋊C4C23semidirect
524. C4×C22⋊C4C23semidirect
1699. C2#38572direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#28032
C2×#27972
C2×#27862
C2×#27842
C2×#26972
C2×#26962
C2×#26852
#385722
C2×#28532
C2×#25952
C2×#25612
C2×#25542
C2×#25342
C2×#24672
C2×#24812
C2×#24802
C2×#24722
C2×#24122
C2×#24052
C2×#24492
C2×#24032
C2×#26622
C2×#26482
C2×#23582
C2×D4×C22⋊C42
C2×#23352
C2×#23212
C2×C4×#1232
C22×#3902