Finite Group Databasebeta

← C2×#40538 #7638708

Subgroups — C2×#40538 #7638708

Order 512.

7294 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2786C211yesmaximal, characteristic, complemented
2C2×#2757C211yesmaximal, characteristic, complemented
3C2×#2746C211yesmaximal, characteristic, complemented
4C2×#2728C211yesmaximal, characteristic, complemented
5C2×#2711C211yesmaximal, characteristic, complemented
6C2×#2708C211yesmaximal, characteristic, complemented
7C2×#2691C211yesmaximal, characteristic, complemented
8C2×#2681C211yesmaximal, characteristic, complemented
9#40538C2132yesmaximal, direct product factor
10C2×#2826C211yesmaximal, characteristic, complemented
11C2×#2827C211yesmaximal, characteristic, complemented
12C2×#2569C211yesmaximal, characteristic, complemented
13C2×#2510C211yesmaximal, characteristic, complemented
14C2×#2417C211yesmaximal, characteristic, complemented
15C2×#2466C211yesmaximal, characteristic, complemented
16C2×#2480C211yesmaximal, characteristic, complemented
17C2×#2473C211yesmaximal, characteristic, complemented
18C2×#2412C211yesmaximal, characteristic, complemented
19C2×#2463C211yesmaximal, characteristic, complemented
20C2×#2418C211yesmaximal, characteristic, complemented
21C2×#2437C211yesmaximal, characteristic, complemented
22C2×#2437C211yesmaximal, characteristic, complemented
23C2×#2410C211yesmaximal, characteristic
24C2×#2633C211yesmaximal, characteristic, complemented
25C2×#2653C211yesmaximal, characteristic, complemented
26C2×#2630C211yesmaximal, characteristic, complemented
27C2×#2630C211yesmaximal, characteristic, complemented
28C2×#2622C211yesmaximal, characteristic, complemented
29C22×#394C211yesmaximal, characteristic, complemented
30C2×#2358C211yesmaximal, characteristic, complemented
31C2×D4×C22⋊C4C211yesmaximal, characteristic, complemented
32C2×#2315C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C22×#126C2211yescharacteristic, complemented
35C22×#125C2211yescharacteristic, complemented
36C22×#123C2211yescharacteristic, complemented
37C22×#123C2211yescharacteristic, complemented
38C22×C22⋊Q8C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic, complemented
40C22×C22⋊Q8C2211yescharacteristic, complemented
41C22×C22⋊Q8C2211yescharacteristic, complemented
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#120C2211yescharacteristic
45C22×#120C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic, complemented
50C23×C4⋊C4C2211yescharacteristic
51C23×C22⋊C4C2211yescharacteristic
52C23×C22⋊C4C2211yescharacteristic
53C23×C22⋊C4C2211yescharacteristic
54C23×C22⋊C4C2211yescharacteristic
55C23×C22⋊C4C2211yescharacteristic
56C23×C22⋊C4C2211yescharacteristic
57C23×C22⋊C4C2211yescharacteristic
58#2827C22116yescomplemented
59#2826C22116yescomplemented
60#2786C22116yescomplemented
61#2757C22116yescomplemented
62#2746C22116yescomplemented
63#2728C22116yescomplemented
64#2711C22116yescomplemented
65#2708C22116yescomplemented
66#2691C22116yescomplemented
67#2681C22116yescomplemented
68#2653C22116yescomplemented
69#2633C22116yescomplemented
70#2630C22116yescomplemented
71#2630C22116yescomplemented
72#2622C22116yescomplemented
73#2569C22116yescomplemented
74#2510C22116yescomplemented
75#2480C22116yescomplemented
76#2473C22116yescomplemented
77#2466C22116yescomplemented
78#2463C22116yescomplemented
79#2437C22116yescomplemented
80#2437C22116yescomplemented
81#2418C22116yescomplemented
82#2417C22116yescomplemented
83#2412C22116yescomplemented
84#2410C22116yes—
85C2×#401C2211yescharacteristic, complemented
86C2×#400C2211yescharacteristic, complemented
87C2×#400C2211yescharacteristic, complemented
88C2×#400C2211yescharacteristic, complemented
89C2×#400C2211yescharacteristic, complemented
90C2×#399C2211yescharacteristic, complemented
91C2×#399C2211yescharacteristic, complemented
92C2×#399C2211yescharacteristic, complemented
93C2×#398C2211yescharacteristic, complemented
94C2×#398C2211yescharacteristic, complemented
95C2×#398C2211yescharacteristic, complemented
96C2×#398C2211yescharacteristic, complemented
97C2×#398C2211yescharacteristic, complemented
98C2×#398C2211yescharacteristic, complemented
99C2×#398C2211yescharacteristic, complemented
100C2×#397C2211yescharacteristic, complemented
101C2×#397C2211yescharacteristic, complemented
102C2×#397C2211yescharacteristic, complemented
103C2×#397C2211yescharacteristic, complemented
104C2×#397C2211yescharacteristic, complemented
105C2×#397C2211yescharacteristic, complemented
106C2×#397C2211yescharacteristic, complemented
107C2×#397C2211yescharacteristic, complemented
108C2×#397C2211yescharacteristic, complemented
109C2×#397C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic, complemented
111C2×#397C2211yescharacteristic, complemented
112C2×#396C2211yescharacteristic, complemented
113C2×#396C2211yescharacteristic, complemented
114C2×#396C2211yescharacteristic, complemented
115C2×#396C2211yescharacteristic, complemented
116C2×#396C2211yescharacteristic, complemented
117C2×#396C2211yescharacteristic, complemented
118C2×#396C2211yescharacteristic, complemented
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C22116yescomplemented
130C2×#394C2211yescharacteristic, complemented
131C2×#394C2211yescharacteristic, complemented
132C2×#394C2211yescharacteristic, complemented
133C2×#394C2211yescharacteristic, complemented
134C2×#394C2211yescharacteristic, complemented
135C2×#394C2211yescharacteristic, complemented
136C2×#394C2211yescharacteristic, complemented
137C2×#394C2211yescharacteristic, complemented
138C2×#393C2211yescharacteristic, complemented
139C2×#393C2211yescharacteristic, complemented
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic
142#2358C22116yescomplemented
143D4×C22⋊C4C22116yescomplemented
144#2315C22116yescomplemented
145C2×#391C2211yescharacteristic, complemented
146C2×#390C2211yescharacteristic
147C2×#390C2211yescharacteristic
148C2×#390C2211yescharacteristic, complemented
149C2×#389C2211yescharacteristic, complemented
150C2×#389C2211yescharacteristic, 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×#387C2211yescharacteristic, complemented
161C2×#387C2211yescharacteristic, complemented
162C2×#387C2211yescharacteristic, complemented
163C2×#387C2211yescharacteristic, complemented
164C2×#387C2211yescharacteristic, complemented
165C2×#387C2211yescharacteristic, complemented
166C2×#387C2211yescharacteristic, complemented
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic, complemented
178C2×#386C2211yescharacteristic, complemented
179C2×#386C2211yescharacteristic, complemented
180C2×#386C2211yescharacteristic, complemented
181C2×#385C2211yescharacteristic
182C2×#385C2211yescharacteristic
183C2×#385C2211yescharacteristic
184C2×#385C2211yescharacteristic
185C2×#385C2211yescharacteristic
186C2×#385C2211yescharacteristic
187C2×#385C2211yescharacteristic, complemented
188C2×#385C2211yescharacteristic, complemented
189C2×#385C2211yescharacteristic, 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×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#383C2211yescharacteristic, complemented
202C2×#381C2211yescharacteristic, complemented
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic
205C2×#380C2211yescharacteristic
206C2×#380C2211yescharacteristic
207C2×#380C2211yescharacteristic
208C2×#380C2211yescharacteristic
209C2×#380C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic, complemented
211C2×#380C2211yescharacteristic, complemented
212C2×#379C2211yescharacteristic
213C2×#379C2211yescharacteristic
214C2×#379C2211yescharacteristic
215C2×C4×C22⋊C4C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4—28no—
223C23×D4—44no—
224C23×D4—44no—
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2318yes—
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C2×#126—44no—
248C2×#126C2318yescomplemented
249C2×#125—44no—
250C2×#125C2318yescomplemented
251C2×#123—44no—
252C2×#123—44no—
253C2×#123C2318yescomplemented
254C2×#123C2318yescomplemented
255C2×C22⋊Q8—44no—
256C2×C22⋊Q8—44no—
257C2×C22⋊Q8—44no—
258C2×C22⋊Q8—44no—
259C2×C22⋊Q8C2318yes—
260C2×C22⋊Q8C2318yescomplemented
261C2×C22⋊Q8C2318yescomplemented
262C2×C22⋊Q8C2318yescomplemented
263C2×#121—44no—
264C2×#121—44no—
265C2×#121C2318yes—
266C2×#121C2318yes—
267C2×#120—28no—
268C2×#120—44no—
269C2×#120C2318yes—
270C2×#120C2318yes—
271C2×C4×D4—44no—
272C2×C4×D4—44no—
273C2×C4×D4—44no—
274C2×C4×D4—44no—
275C2×C4×D4C2318yes—
276C2×C4×D4C2318yes—
277C2×C4×D4C2318yes—
278C2×C4×D4C2318yescomplemented
279C22×C4⋊C4—44no—
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2318yes—
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C22⋊C4—28no—
314C22×C22⋊C4—44no—
315C22×C22⋊C4—44no—
316C22×C22⋊C4—44no—
317C22×C22⋊C4—44no—
318C22×C22⋊C4—44no—
319C22×C22⋊C4—44no—
320C22×C22⋊C4C2318yes—
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2318yes—
344C22×C22⋊C4C2318yes—
345C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
369C22×C22⋊C4C2318yes—
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×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386#401C2318yescomplemented
387#400C2318yescomplemented
388#400C2318yescomplemented
389#400C2318yescomplemented
390#400C2318yescomplemented
391#399C2318yescomplemented
392#399C2318yescomplemented
393#399C2318yescomplemented
394#398C2318yescomplemented
395#398C2318yescomplemented
396#398C2318yescomplemented
397#398C2318yescomplemented
398#398C2318yescomplemented
399#398C2318yescomplemented
400#398C2318yescomplemented
401#397C2318yescomplemented
402#397C2318yescomplemented
403#397C2318yescomplemented
404#397C2318yescomplemented
405#397C2318yescomplemented
406#397C2318yescomplemented
407#397C2318yescomplemented
408#397C2318yescomplemented
409#397C2318yescomplemented
410#397C2318yescomplemented
411#397C2318yescomplemented
412#397C2318yescomplemented
413#396C2318yescomplemented
414#396C2318yescomplemented
415#396C2318yescomplemented
416#396C2318yescomplemented
417#396C2318yescomplemented
418#396C2318yescomplemented
419#396C2318yescomplemented
420#394C2318yes—
421#394C2318yes—
422#394C2318yes—
423#394C2318yes—
424#394C2318yes—
425#394C2318yes—
426#394C2318yes—
427#394C2318yes—
428#394C2318yes—
429#394C2318yes—
430#394C2318yescomplemented
431#394C2318yescomplemented
432#394C2318yescomplemented
433#394C2318yescomplemented
434#394C2318yescomplemented
435#394C2318yescomplemented
436#394C2318yescomplemented
437#394C2318yescomplemented
438#393C2318yescomplemented
439#393C2318yescomplemented
440#392C2318yes—
441#392C2318yes—
442#391C2318yescomplemented
443#390C2318yes—
444#390C2318yes—
445#390C2318yescomplemented
446#389C2318yescomplemented
447#389C2318yescomplemented
448#388C2318yescomplemented
449#388C2318yescomplemented
450#388C2318yescomplemented
451#388C2318yescomplemented
452#388C2318yescomplemented
453#388C2318yescomplemented
454#388C2318yescomplemented
455#388C2318yescomplemented
456#388C2318yescomplemented
457#387C2318yescomplemented
458#387C2318yescomplemented
459#387C2318yescomplemented
460#387C2318yescomplemented
461#387C2318yescomplemented
462#387C2318yescomplemented
463#387C2318yescomplemented
464#386C2318yes—
465#386C2318yes—
466#386C2318yes—
467#386C2318yes—
468#386C2318yes—
469#386C2318yes—
470#386C2318yes—
471#386C2318yes—
472#386C2318yes—
473#386C2318yes—
474#386C2318yescomplemented
475#386C2318yescomplemented
476#386C2318yescomplemented
477#386C2318yescomplemented
478#385C2318yes—
479#385C2318yes—
480#385C2318yes—
481#385C2318yes—
482#385C2318yes—
483#385C2318yes—
484#385C2318yescomplemented
485#385C2318yescomplemented
486#385C2318yescomplemented
487#385C2318yescomplemented
488#385C2318yescomplemented
489#385C2318yescomplemented
490#385C2318yescomplemented
491#385C2318yescomplemented
492#385C2318yescomplemented
493#385C2318yescomplemented
494#385C2318yescomplemented
495#385C2318yescomplemented
496#385C2318yescomplemented
497#385C2318yescomplemented
498#383C2318yescomplemented
499#381C2318yescomplemented
500#380C2318yes—
501#380C2318yes—
502#380C2318yes—
503#380C2318yes—
504#380C2318yes—
505#380C2318yes—
506#380C2318yescomplemented
507#380C2318yescomplemented
508#380C2318yescomplemented
509#379C2318yes—
510#379C2318yes—
511#379C2318yes—
512C4×C22⋊C4C2318yes—
513C4×C22⋊C4C2318yes—
514C4×C22⋊C4C2318yescomplemented
515C2×#95C2318yes—
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C25—24no—
557C25—24no—
558C25—24no—
559C25—24no—
560C25—24no—
561C25—24no—
562C25—42no—
563C25—42no—
564C25—42no—
565C25—42no—
566C25—42no—
567C25—42no—
568C25—42no—
569C25#4118yes—
570C25C2411yescharacteristic
571C25C2411yescharacteristic
572C25C2411yescharacteristic
573C25C2411yescharacteristic
574C25C2411yescharacteristic
575C25C2414yes—
576C25C2411yescharacteristic
577C25C2414yes—
578C22×Q8—24no—
579C22×Q8—42no—
580C22×Q8—42no—
581C22×Q8C2414yes—
582C22×D4—24no—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—24no—
587C22×D4—232no—
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—416no—
598C22×D4—42no—
599C22×D4—42no—
600C22×D4—42no—
601C22×D4—42no—
602C22×D4—42no—
603C22×D4—42no—
604C22×D4—42no—
605C22×D4—42no—
606C22×D4—42no—
607C22×D4—42no—
608C22×D4—42no—
609C22×D4—42no—
610C22×D4—42no—
611C22×D4—416no—
612C22×D4—464no—
613C22×D4C2414yes—
614C22×D4C2414yes—
615C22×D4C2414yes—
616C22×D4C2414yes—
617C22×D4C2414yes—
618C22×D4C2414yes—
619C22×D4C2414yes—
620C22×D4C2414yes—
621C22×D4C2414yes—
622C23×C4—24no—
623C23×C4—24no—
624C23×C4—24no—
625C23×C4—24no—
626C23×C4—24no—
627C23×C4—24no—
628C23×C4—24no—
629C23×C4—24no—
630C23×C4—24no—
631C23×C4—42no—
632C23×C4—42no—
633C23×C4—42no—
634C23×C4—42no—
635C23×C4—42no—
636C23×C4—42no—
637C23×C4—42no—
638C23×C4—42no—
639C23×C4—42no—
640C23×C4—42no—
641C23×C4—42no—
642C23×C4—42no—
643C23×C4—42no—
644C23×C4—42no—
645C23×C4—42no—
646C23×C4—42no—
647C23×C4—42no—
648C23×C4—42no—
649C23×C4—42no—
650C23×C4—42no—
651C23×C4—42no—
652C23×C4—42no—
653C23×C4—42no—
654C23×C4—42no—
655C23×C4—42no—
656C23×C4—42no—
657C23×C4—42no—
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2414yes—
682C23×C4C2414yes—
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2414yes—
686C23×C4C2414yes—
687C23×C4C2414yes—
688C23×C4C2414yes—
689C23×C4C2414yes—
690C23×C4C2414yes—
691C23×C4C2414yes—
692C23×C4C2414yes—
693C23×C4C2414yes—
694C23×C4C2414yes—
695#126—416no—
696#125—416no—
697#123—416no—
698#123—416no—
699C22⋊Q8—416no—
700C22⋊Q8—416no—
701C22⋊Q8—416no—
702C22⋊Q8—416no—
703#121—416no—
704#121—416no—
705#120—232no—
706#120—416no—
707C4×D4—416no—
708C4×D4—416no—
709C4×D4—416no—
710C4×D4—416no—
711C2×C4⋊C4—24no—
712C2×C4⋊C4—24no—
713C2×C4⋊C4—24no—
714C2×C4⋊C4—24no—
715C2×C4⋊C4—24no—
716C2×C4⋊C4—24no—
717C2×C4⋊C4—416no—
718C2×C4⋊C4—42no—
719C2×C4⋊C4—42no—
720C2×C4⋊C4—42no—
721C2×C4⋊C4—42no—
722C2×C4⋊C4—42no—
723C2×C4⋊C4—42no—
724C2×C4⋊C4—42no—
725C2×C4⋊C4—42no—
726C2×C4⋊C4—42no—
727C2×C4⋊C4—42no—
728C2×C4⋊C4—42no—
729C2×C4⋊C4—42no—
730C2×C4⋊C4—42no—
731C2×C4⋊C4—42no—
732C2×C4⋊C4—42no—
733C2×C4⋊C4—42no—
734C2×C4⋊C4—42no—
735C2×C4⋊C4—42no—
736C2×C4⋊C4—42no—
737C2×C4⋊C4—42no—
738C2×C4⋊C4—42no—
739C2×C4⋊C4—42no—
740C2×C4⋊C4—42no—
741C2×C4⋊C4—42no—
742C2×C4⋊C4—42no—
743C2×C4⋊C4—42no—
744C2×C4⋊C4C2414yes—
745C2×C4⋊C4C2414yes—
746C2×C4⋊C4C2414yes—
747C2×C4⋊C4C2414yes—
748C2×C4⋊C4C2414yes—
749C2×C4⋊C4C2414yes—
750C2×C4⋊C4C2414yes—
751C2×C4⋊C4C2414yes—
752C2×C4⋊C4C2414yes—
753C2×C4⋊C4C2414yes—
754C2×C4⋊C4C2414yes—
755C2×C4⋊C4C2414yes—
756C2×C4⋊C4C2414yes—
757C2×C4⋊C4C2414yes—
758C2×C4⋊C4C2414yes—
759C2×C4⋊C4C2414yes—
760C2×C4⋊C4C2414yes—
761C2×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×C22⋊C4—24no—
777C2×C22⋊C4—24no—
778C2×C22⋊C4—24no—
779C2×C22⋊C4—24no—
780C2×C22⋊C4—232no—
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—416no—
800C2×C22⋊C4—416no—
801C2×C22⋊C4—416no—
802C2×C22⋊C4—416no—
803C2×C22⋊C4—416no—
804C2×C22⋊C4—416no—
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—42no—
821C2×C22⋊C4—42no—
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⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×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×C42—24no—
892C2×C42—42no—
893C2×C42—42no—
894C2×C42—42no—
895C2×C42—42no—
896C2×C42C2414yes—
897C2×C42C2414yes—
898C2×C42C2414yes—
899C2×C42C2414yes—
900C2×C42C2414yes—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—22no—
946C24—22no—
947C24—22no—
948C24—22no—
949C24—22no—
950C24—22no—
951C24—22no—
952C24—22no—
953C24—22no—
954C24—22no—
955C24—22no—
956C24—22no—
957C24—22no—
958C24—22no—
959C24—22no—
960C24—22no—
961C24—22no—
962C24—22no—
963C24—232no—
964C24—28no—
965C24—28no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—22no—
971C24—22no—
972C24—22no—
973C24—28no—
974C24—22no—
975C24—22no—
976C24—22no—
977C24—22no—
978C24—22no—
979C24—22no—
980C24—22no—
981C24—28no—
982C24—28no—
983C24—28no—
984C24—44no—
985C24—44no—
986C24—416no—
987C24—44no—
988C24—44no—
989C24—44no—
990C24—416no—
991C24—44no—
992C24—44no—
993C24—416no—
994C24—416no—
995C24—416no—
996C24—416no—
997C24—88no—
998C24—88no—
999C24—88no—
1000C24—88no—
1001C24—88no—
1002C24—88no—
1003C24—88no—
1004C24C2×#4114yes—
1005C24C2×#4114yes—
1006C24C2×#4114yes—
1007C24C2×#41116yes—
1008C24H(5,𝔽2)14yes—
1009C24H(5,𝔽2)14yes—
1010C242−1+414yes—
1011C24C2512yes—
1012C24C2512yes—
1013C24C2512yes—
1014C24C2512yes—
1015C24C2512yes—
1016C24C2512yes—
1017C24C2511yescharacteristic
1018C2×Q8—28no—
1019C2×Q8—44no—
1020C2×Q8—44no—
1021C2×Q8—88no—
1022C2×D4—232no—
1023C2×D4—28no—
1024C2×D4—28no—
1025C2×D4—28no—
1026C2×D4—28no—
1027C2×D4—28no—
1028C2×D4—28no—
1029C2×D4—28no—
1030C2×D4—28no—
1031C2×D4—28no—
1032C2×D4—28no—
1033C2×D4—28no—
1034C2×D4—28no—
1035C2×D4—28no—
1036C2×D4—28no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—416no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—4128no—
1052C2×D4—416no—
1053C2×D4—416no—
1054C2×D4—416no—
1055C2×D4—416no—
1056C2×D4—88no—
1057C2×D4—88no—
1058C2×D4—88no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—28no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—28no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—28no—
1135C22×C4—28no—
1136C22×C4—28no—
1137C22×C4—28no—
1138C22×C4—28no—
1139C22×C4—28no—
1140C22×C4—28no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—416no—
1169C22×C4—416no—
1170C22×C4—88no—
1171C22×C4—88no—
1172C22×C4—88no—
1173C22×C4—88no—
1174C22×C4—88no—
1175C22×C4—88no—
1176C22×C4—88no—
1177C22×C4—88no—
1178C22×C4—88no—
1179C22×C4—88no—
1180C22×C4H(5,𝔽2)14yes—
1181C22×C4H(5,𝔽2)14yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C4⋊C4—28no—
1208C4⋊C4—28no—
1209C4⋊C4—28no—
1210C4⋊C4—28no—
1211C4⋊C4—28no—
1212C4⋊C4—28no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C22⋊C4—28no—
1240C22⋊C4—28no—
1241C22⋊C4—28no—
1242C22⋊C4—28no—
1243C22⋊C4—28no—
1244C22⋊C4—28no—
1245C22⋊C4—28no—
1246C22⋊C4—28no—
1247C22⋊C4—28no—
1248C22⋊C4—28no—
1249C22⋊C4—28no—
1250C22⋊C4—28no—
1251C22⋊C4—28no—
1252C22⋊C4—28no—
1253C22⋊C4—28no—
1254C22⋊C4—28no—
1255C22⋊C4—28no—
1256C22⋊C4—28no—
1257C22⋊C4—28no—
1258C22⋊C4—28no—
1259C22⋊C4—28no—
1260C22⋊C4—28no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C42—28no—
1294C42—44no—
1295C42—44no—
1296C42—44no—
1297C42—44no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—28no—
1303C23—28no—
1304C23—28no—
1305C23—28no—
1306C23—28no—
1307C23—28no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—28no—
1327C23—28no—
1328C23—28no—
1329C23—28no—
1330C23—28no—
1331C23—28no—
1332C23—28no—
1333C23—28no—
1334C23—28no—
1335C23—232no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—416no—
1351C23—416no—
1352C23—416no—
1353C23—416no—
1354C23—416no—
1355C23—44no—
1356C23—44no—
1357C23—44no—
1358C23—44no—
1359C23—44no—
1360C23—44no—
1361C23—44no—
1362C23—44no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—416no—
1369C23—44no—
1370C23—44no—
1371C23—44no—
1372C23—44no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—88no—
1383C23—88no—
1384C23—88no—
1385C23—88no—
1386C23—88no—
1387C23—88no—
1388C23—88no—
1389C23—864no—
1390C23—864no—
1391C23#539116yes—
1392C23C22×#4114yes—
1393C23C22×#4114yes—
1394C23C22×#4114yes—
1395C23C22×#4112yes—
1396C23C2×H(5,𝔽2)14yes—
1397C23C2×H(5,𝔽2)14yes—
1398C23C2×H(5,𝔽2)12yes—
1399C23C2×H(5,𝔽2)12yes—
1400C23C2×H(5,𝔽2)12yes—
1401C23C2×H(5,𝔽2)12yes—
1402C23C2×2−1+414yes—
1403C23C2×2−1+412yes—
1404C23#58512yes—
1405C23C2611yescharacteristic
1406Q8—88no—
1407D4—232no—
1408D4—416no—
1409D4—416no—
1410D4—416no—
1411D4—416no—
1412D4—416no—
1413D4—88no—
1414D4—88no—
1415D4—88no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—28no—
1421C2×C4—28no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—416no—
1492C2×C4—416no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—88no—
1517C2×C4—88no—
1518C2×C4—88no—
1519C2×C4—88no—
1520C2×C4—88no—
1521C2×C4—88no—
1522C2×C4—88no—
1523C2×C4—88no—
1524C2×C4—88no—
1525C2×C4—88no—
1526C2×C4C2×H(5,𝔽2)14yes—
1527C2×C4C2×H(5,𝔽2)14yes—
1528C22—24no—
1529C22—24no—
1530C22—24no—
1531C22—24no—
1532C22—24no—
1533C22—24no—
1534C22—232no—
1535C22—24no—
1536C22—24no—
1537C22—24no—
1538C22—24no—
1539C22—24no—
1540C22—24no—
1541C22—24no—
1542C22—24no—
1543C22—24no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—416no—
1556C22—416no—
1557C22—416no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—832no—
1574C22—832no—
1575C22—88no—
1576C22—88no—
1577C22C2×#53918yes—
1578C22C2×#53914yes—
1579C22#349014yes—
1580C22#350514yes—
1581C22#353414yes—
1582C22#353614yes—
1583C22#353714yes—
1584C22#356114yes—
1585C22C23×#4111yescharacteristic
1586C22C22×H(5,𝔽2)11yescharacteristic
1587C22C22×H(5,𝔽2)11yescharacteristic
1588C22C22×H(5,𝔽2)11yescharacteristic
1589C22C22×H(5,𝔽2)11yescharacteristic
1590C22C22×2−1+411yescharacteristic
1591C22C2×#58511yescharacteristic
1592C4—24no—
1593C4—24no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C2—28no—
1618C2—44no—
1619C2—44no—
1620C2—44no—
1621C2—82no—
1622C2—82no—
1623C2#4053818yesdirect product factor
1624C2C22×#53911yescharacteristic
1625C2C2×#353411yescharacteristic
1626C2C2×#353611yescharacteristic
1627C2C2×#353711yescharacteristic
1628C2C2×#356111yescharacteristic
1629C2C2×#349011yescharacteristic
1630C2C2×#350511yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2410C2
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×#2786C2semidirect
2. C2×#2757C2semidirect
3. C2×#2746C2semidirect
4. C2×#2728C2semidirect
5. C2×#2711C2semidirect
6. C2×#2708C2semidirect
7. C2×#2691C2semidirect
8. C2×#2681C2semidirect
9. #40538C2direct (N × H)
10. C2×#2826C2semidirect
11. C2×#2827C2semidirect
12. C2×#2569C2semidirect
13. C2×#2510C2semidirect
14. C2×#2417C2semidirect
15. C2×#2466C2semidirect
16. C2×#2480C2semidirect
17. C2×#2473C2semidirect
18. C2×#2412C2semidirect
19. C2×#2463C2semidirect
20. C2×#2418C2semidirect
21. C2×#2437C2semidirect
22. C2×#2437C2semidirect
24. C2×#2633C2semidirect
25. C2×#2653C2semidirect
26. C2×#2630C2semidirect
27. C2×#2630C2semidirect
28. C2×#2622C2semidirect
29. C22×#394C2semidirect
30. C2×#2358C2semidirect
31. C2×D4×C22⋊C4C2semidirect
32. C2×#2315C2semidirect
34. C22×#126C22semidirect
35. C22×#125C22semidirect
36. C22×#123C22semidirect
37. C22×#123C22semidirect
39. C22×C22⋊Q8C22semidirect
40. C22×C22⋊Q8C22semidirect
41. C22×C22⋊Q8C22semidirect
49. C22×C4×D4C22semidirect
58. #2827C22semidirect
59. #2826C22semidirect
60. #2786C22semidirect
61. #2757C22semidirect
62. #2746C22semidirect
63. #2728C22semidirect
64. #2711C22semidirect
65. #2708C22semidirect
66. #2691C22semidirect
67. #2681C22semidirect
68. #2653C22semidirect
69. #2633C22semidirect
70. #2630C22semidirect
71. #2630C22semidirect
72. #2622C22semidirect
73. #2569C22semidirect
74. #2510C22semidirect
75. #2480C22semidirect
76. #2473C22semidirect
77. #2466C22semidirect
78. #2463C22semidirect
79. #2437C22semidirect
80. #2437C22semidirect
81. #2418C22semidirect
82. #2417C22semidirect
83. #2412C22semidirect
85. C2×#401C22semidirect
86. C2×#400C22semidirect
87. C2×#400C22semidirect
88. C2×#400C22semidirect
89. C2×#400C22semidirect
90. C2×#399C22semidirect
91. C2×#399C22semidirect
92. C2×#399C22semidirect
93. C2×#398C22semidirect
94. C2×#398C22semidirect
95. C2×#398C22semidirect
96. C2×#398C22semidirect
97. C2×#398C22semidirect
98. C2×#398C22semidirect
99. C2×#398C22semidirect
100. C2×#397C22semidirect
101. C2×#397C22semidirect
102. C2×#397C22semidirect
103. C2×#397C22semidirect
104. C2×#397C22semidirect
105. C2×#397C22semidirect
106. C2×#397C22semidirect
107. C2×#397C22semidirect
108. C2×#397C22semidirect
109. C2×#397C22semidirect
110. C2×#397C22semidirect
111. C2×#397C22semidirect
112. C2×#396C22semidirect
113. C2×#396C22semidirect
114. C2×#396C22semidirect
115. C2×#396C22semidirect
116. C2×#396C22semidirect
117. C2×#396C22semidirect
118. C2×#396C22semidirect
129. C2×#394C22semidirect
130. C2×#394C22semidirect
131. C2×#394C22semidirect
132. C2×#394C22semidirect
133. C2×#394C22semidirect
134. C2×#394C22semidirect
135. C2×#394C22semidirect
136. C2×#394C22semidirect
137. C2×#394C22semidirect
138. C2×#393C22semidirect
139. C2×#393C22semidirect
142. #2358C22semidirect
143. D4×C22⋊C4C22semidirect
144. #2315C22semidirect
145. C2×#391C22semidirect
148. C2×#390C22semidirect
149. C2×#389C22semidirect
150. C2×#389C22semidirect
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×#387C22semidirect
161. C2×#387C22semidirect
162. C2×#387C22semidirect
163. C2×#387C22semidirect
164. C2×#387C22semidirect
165. C2×#387C22semidirect
166. C2×#387C22semidirect
177. C2×#386C22semidirect
178. C2×#386C22semidirect
179. C2×#386C22semidirect
180. C2×#386C22semidirect
187. C2×#385C22semidirect
188. C2×#385C22semidirect
189. C2×#385C22semidirect
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×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#383C22semidirect
202. C2×#381C22semidirect
209. C2×#380C22semidirect
210. C2×#380C22semidirect
211. C2×#380C22semidirect
217. C2×C4×C22⋊C4C22semidirect
248. C2×#126C23semidirect
250. C2×#125C23semidirect
253. C2×#123C23semidirect
254. C2×#123C23semidirect
260. C2×C22⋊Q8C23semidirect
261. C2×C22⋊Q8C23semidirect
262. C2×C22⋊Q8C23semidirect
278. C2×C4×D4C23semidirect
386. #401C23semidirect
387. #400C23semidirect
388. #400C23semidirect
389. #400C23semidirect
390. #400C23semidirect
391. #399C23semidirect
392. #399C23semidirect
393. #399C23semidirect
394. #398C23semidirect
395. #398C23semidirect
396. #398C23semidirect
397. #398C23semidirect
398. #398C23semidirect
399. #398C23semidirect
400. #398C23semidirect
401. #397C23semidirect
402. #397C23semidirect
403. #397C23semidirect
404. #397C23semidirect
405. #397C23semidirect
406. #397C23semidirect
407. #397C23semidirect
408. #397C23semidirect
409. #397C23semidirect
410. #397C23semidirect
411. #397C23semidirect
412. #397C23semidirect
413. #396C23semidirect
414. #396C23semidirect
415. #396C23semidirect
416. #396C23semidirect
417. #396C23semidirect
418. #396C23semidirect
419. #396C23semidirect
430. #394C23semidirect
431. #394C23semidirect
432. #394C23semidirect
433. #394C23semidirect
434. #394C23semidirect
435. #394C23semidirect
436. #394C23semidirect
437. #394C23semidirect
438. #393C23semidirect
439. #393C23semidirect
442. #391C23semidirect
445. #390C23semidirect
446. #389C23semidirect
447. #389C23semidirect
448. #388C23semidirect
449. #388C23semidirect
450. #388C23semidirect
451. #388C23semidirect
452. #388C23semidirect
453. #388C23semidirect
454. #388C23semidirect
455. #388C23semidirect
456. #388C23semidirect
457. #387C23semidirect
458. #387C23semidirect
459. #387C23semidirect
460. #387C23semidirect
461. #387C23semidirect
462. #387C23semidirect
463. #387C23semidirect
474. #386C23semidirect
475. #386C23semidirect
476. #386C23semidirect
477. #386C23semidirect
484. #385C23semidirect
485. #385C23semidirect
486. #385C23semidirect
487. #385C23semidirect
488. #385C23semidirect
489. #385C23semidirect
490. #385C23semidirect
491. #385C23semidirect
492. #385C23semidirect
493. #385C23semidirect
494. #385C23semidirect
495. #385C23semidirect
496. #385C23semidirect
497. #385C23semidirect
498. #383C23semidirect
499. #381C23semidirect
506. #380C23semidirect
507. #380C23semidirect
508. #380C23semidirect
514. C4×C22⋊C4C23semidirect
1623. C2#40538direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27862
C2×#27572
C2×#27462
C2×#27282
C2×#27112
C2×#27082
C2×#26912
C2×#26812
#405382
C2×#28262
C2×#28272
C2×#25692
C2×#25102
C2×#24172
C2×#24662
C2×#24802
C2×#24732
C2×#24122
C2×#24632
C2×#24182
C2×#24372
C2×#24102
C2×#26332
C2×#26532
C2×#26302
C2×#26222
C22×#3942
C2×#23582
C2×D4×C22⋊C42
C2×#23152