Finite Group Databasebeta

← C2×#43674 #7667809

Subgroups — C2×#43674 #7667809

Order 512.

6700 conjugacy classes of subgroups.

The subgroup lattice has 1530 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2796C211yesmaximal, characteristic, complemented
2C2×#2784C211yesmaximal, characteristic, complemented
3C2×#2737C211yesmaximal, characteristic, complemented
4C2×#2736C211yesmaximal, characteristic, complemented
5C2×#2736C211yesmaximal, characteristic, complemented
6C2×#2735C211yesmaximal, characteristic, complemented
7C2×#2717C211yesmaximal, characteristic, complemented
8C2×#2690C211yesmaximal, characteristic, complemented
9#43674C2132yesmaximal, direct product factor
10C2×#2597C211yesmaximal, characteristic, complemented
11C2×#2577C211yesmaximal, characteristic, complemented
12C2×#2558C211yesmaximal, characteristic, complemented
13C2×#2531C211yesmaximal, characteristic, complemented
14C2×#2485C211yesmaximal, characteristic, complemented
15C2×#2521C211yesmaximal, characteristic, complemented
16C2×#2474C211yesmaximal, characteristic, complemented
17C2×#2458C211yesmaximal, characteristic, complemented
18C2×#2468C211yesmaximal, characteristic, complemented
19C2×#2435C211yesmaximal, characteristic
20C2×#2465C211yesmaximal, characteristic, complemented
21C2×#2460C211yesmaximal, characteristic, complemented
22C2×#2480C211yesmaximal, characteristic, complemented
23C2×#2480C211yesmaximal, characteristic, complemented
24C2×#2480C211yesmaximal, characteristic, complemented
25C2×#2405C211yesmaximal, characteristic
26C2×#2398C211yesmaximal, characteristic, complemented
27C2×#2374C211yesmaximal, characteristic, complemented
28C2×#2373C211yesmaximal, characteristic, complemented
29C2×#2342C211yesmaximal, characteristic, complemented
30C2×D4×C22⋊C4C211yesmaximal, characteristic
31C2×#2337C211yesmaximal, characteristic, complemented
32C2×#2312C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C22×#126C2211yescharacteristic
35C22×#126C2211yescharacteristic, complemented
36C22×#125C2211yescharacteristic, complemented
37C22×#124C2211yescharacteristic
38C22×#124C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×C4×Q8C2211yescharacteristic, complemented
43C22×C4×D4C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45C22×#117C2211yescharacteristic, complemented
46C23×C22⋊C4C2211yescharacteristic
47C23×C22⋊C4C2211yescharacteristic
48C23×C22⋊C4C2211yescharacteristic
49#2796C22116yescomplemented
50#2784C22116yescomplemented
51#2737C22116yescomplemented
52#2736C22116yescomplemented
53#2736C22116yescomplemented
54#2735C22116yescomplemented
55#2717C22116yescomplemented
56#2690C22116yescomplemented
57#2597C22116yescomplemented
58#2577C22116yescomplemented
59#2558C22116yescomplemented
60#2531C22116yescomplemented
61#2521C22116yescomplemented
62#2485C22116yescomplemented
63#2480C22116yescomplemented
64#2480C22116yescomplemented
65#2480C22116yescomplemented
66#2474C22116yescomplemented
67#2468C22116yescomplemented
68#2465C22116yescomplemented
69#2460C22116yescomplemented
70#2458C22116yescomplemented
71#2435C22116yes—
72#2405C22116yes—
73#2398C22116yescomplemented
74C2×#400C2211yescharacteristic, complemented
75C2×#400C2211yescharacteristic, complemented
76C2×#400C2211yescharacteristic, complemented
77C2×#399C2211yescharacteristic, complemented
78C2×#398C2211yescharacteristic, complemented
79C2×#398C2211yescharacteristic, complemented
80C2×#397C2211yescharacteristic
81C2×#397C2211yescharacteristic
82C2×#397C2211yescharacteristic
83C2×#397C2211yescharacteristic
84C2×#397C2211yescharacteristic, complemented
85C2×#397C2211yescharacteristic, complemented
86C2×#397C2211yescharacteristic, complemented
87C2×#397C2211yescharacteristic, complemented
88C2×#397C2211yescharacteristic, complemented
89C2×#397C2211yescharacteristic, complemented
90C2×#397C2211yescharacteristic, complemented
91C2×#397C2211yescharacteristic, complemented
92C2×#397C2211yescharacteristic, complemented
93C2×#397C2211yescharacteristic, complemented
94C2×#396C2211yescharacteristic
95C2×#396C2211yescharacteristic, complemented
96C2×#396C2211yescharacteristic, complemented
97C2×#396C2211yescharacteristic, complemented
98C2×#395C2211yescharacteristic, complemented
99C2×#395C2211yescharacteristic, complemented
100C2×#395C2211yescharacteristic, complemented
101C2×#394C2211yescharacteristic
102C2×#394C2211yescharacteristic
103C2×#394C2211yescharacteristic
104C2×#394C2211yescharacteristic
105C2×#394C2211yescharacteristic
106C2×#394C2211yescharacteristic
107C2×#394C2211yescharacteristic
108C2×#394C2211yescharacteristic
109C2×#393C2211yescharacteristic
110C2×#393C2211yescharacteristic, complemented
111C2×#393C2211yescharacteristic, complemented
112C2×#393C2211yescharacteristic, complemented
113C2×#393C2211yescharacteristic, complemented
114#2374C22116yescomplemented
115#2373C22116yescomplemented
116#2342C22116yescomplemented
117D4×C22⋊C4C22116yes—
118#2337C22116yescomplemented
119#2312C22116yescomplemented
120C2×#391C2211yescharacteristic, complemented
121C2×#391C2211yescharacteristic, complemented
122C2×#390C2211yescharacteristic
123C2×#390C2211yescharacteristic
124C2×#390C2211yescharacteristic
125C2×#390C2211yescharacteristic
126C2×#389C2211yescharacteristic, complemented
127C2×#389C2211yescharacteristic, complemented
128C2×#388C2211yescharacteristic
129C2×#388C2211yescharacteristic
130C2×#388C2211yescharacteristic
131C2×#388C2211yescharacteristic
132C2×#388C2211yescharacteristic
133C2×#388C2211yescharacteristic
134C2×#388C2211yescharacteristic
135C2×#388C2211yescharacteristic
136C2×#388C2211yescharacteristic
137C2×#388C2211yescharacteristic, complemented
138C2×#388C2211yescharacteristic, complemented
139C2×#388C2211yescharacteristic, complemented
140C2×#388C2211yescharacteristic, complemented
141C2×#388C2211yescharacteristic, complemented
142C2×#388C2211yescharacteristic, 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×#387C2211yescharacteristic, complemented
159C2×#387C2211yescharacteristic, complemented
160C2×#387C2211yescharacteristic, complemented
161C2×#387C2211yescharacteristic, complemented
162C2×#387C2211yescharacteristic, complemented
163C2×#387C2211yescharacteristic, complemented
164C2×#387C2211yescharacteristic, complemented
165C2×#387C2211yescharacteristic, complemented
166C2×#387C2211yescharacteristic, complemented
167C2×#387C2211yescharacteristic, complemented
168C2×#387C2211yescharacteristic, complemented
169C2×#387C2211yescharacteristic, complemented
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#385C2211yescharacteristic
177C2×#385C2211yescharacteristic
178C2×#385C2211yescharacteristic, complemented
179C2×#385C2211yescharacteristic, complemented
180C2×#385C2211yescharacteristic, complemented
181C2×#385C2211yescharacteristic, complemented
182C2×#385C2211yescharacteristic, complemented
183C2×#385C2211yescharacteristic, complemented
184C2×#385C2211yescharacteristic, complemented
185C2×#385C2211yescharacteristic, complemented
186C2×#383C2211yescharacteristic, complemented
187C2×#381C2211yescharacteristic, complemented
188C2×#380C2211yescharacteristic
189C2×#380C2211yescharacteristic, complemented
190C2×#380C2211yescharacteristic, complemented
191C2×#380C2211yescharacteristic, complemented
192C2×#380C2211yescharacteristic, complemented
193C2×#380C2211yescharacteristic, complemented
194C2×#380C2211yescharacteristic, complemented
195C2×#379C2211yescharacteristic
196C2×#379C2211yescharacteristic
197C2×#379C2211yescharacteristic
198C2×#379C2211yescharacteristic
199C2×#379C2211yescharacteristic
200C2×#379C2211yescharacteristic
201C2×#379C2211yescharacteristic
202C2×#379C2211yescharacteristic
203C2×#379C2211yescharacteristic
204C2×C4×C4⋊C4C2211yescharacteristic, complemented
205C2×C4×C4⋊C4C2211yescharacteristic, complemented
206C2×C4×C4⋊C4C2211yescharacteristic, complemented
207C2×C4×C4⋊C4C2211yescharacteristic, complemented
208C2×C4×C22⋊C4C2211yescharacteristic
209C2×C4×C22⋊C4C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic, complemented
211C2×C4×C22⋊C4C2211yescharacteristic, complemented
212C2×C4×C22⋊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×#376C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4—28no—
224C23×D4—44no—
225C23×D4—44no—
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2318yes—
230C23×D4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C2×#126—28no—
239C2×#126—44no—
240C2×#126C2318yes—
241C2×#126C2318yescomplemented
242C2×#125—44no—
243C2×#125C2318yescomplemented
244C2×#124—28no—
245C2×#124—44no—
246C2×#124C2318yes—
247C2×#124C2318yes—
248C2×#123—28no—
249C2×#123—44no—
250C2×#123C2318yes—
251C2×#123C2318yes—
252C2×C22⋊Q8—44no—
253C2×C22⋊Q8C2318yes—
254C2×C4×Q8—44no—
255C2×C4×Q8C2318yescomplemented
256C2×C4×D4—44no—
257C2×C4×D4—44no—
258C2×C4×D4C2318yes—
259C2×C4×D4C2318yes—
260C2×#117—44no—
261C2×#117C2318yescomplemented
262C22×C4⋊C4C2311yescharacteristic
263C22×C4⋊C4C2311yescharacteristic
264C22×C4⋊C4C2311yescharacteristic
265C22×C4⋊C4C2311yescharacteristic
266C22×C4⋊C4C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
290C22×C22⋊C4—28no—
291C22×C22⋊C4—28no—
292C22×C22⋊C4—44no—
293C22×C22⋊C4C2318yes—
294C22×C22⋊C4C2318yes—
295C22×C22⋊C4C2311yescharacteristic
296C22×C22⋊C4C2311yescharacteristic
297C22×C22⋊C4C2311yescharacteristic
298C22×C22⋊C4C2311yescharacteristic
299C22×C22⋊C4C2311yescharacteristic
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2318yes—
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⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358C22×C42C2311yescharacteristic
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364#400C2318yescomplemented
365#400C2318yescomplemented
366#400C2318yescomplemented
367#399C2318yescomplemented
368#398C2318yescomplemented
369#398C2318yescomplemented
370#397C2318yes—
371#397C2318yes—
372#397C2318yes—
373#397C2318yes—
374#397C2318yescomplemented
375#397C2318yescomplemented
376#397C2318yescomplemented
377#397C2318yescomplemented
378#397C2318yescomplemented
379#397C2318yescomplemented
380#397C2318yescomplemented
381#397C2318yescomplemented
382#397C2318yescomplemented
383#397C2318yescomplemented
384#396C2318yes—
385#396C2318yescomplemented
386#396C2318yescomplemented
387#396C2318yescomplemented
388#395C2318yescomplemented
389#395C2318yescomplemented
390#395C2318yescomplemented
391#394C2318yes—
392#394C2318yes—
393#394C2318yes—
394#394C2318yes—
395#394C2318yes—
396#394C2318yes—
397#394C2318yes—
398#394C2318yes—
399#393C2318yes—
400#393C2318yescomplemented
401#393C2318yescomplemented
402#393C2318yescomplemented
403#393C2318yescomplemented
404#391C2318yescomplemented
405#391C2318yescomplemented
406#390C2318yes—
407#390C2318yes—
408#390C2318yes—
409#390C2318yes—
410#389C2318yescomplemented
411#389C2318yescomplemented
412#388C2318yes—
413#388C2318yes—
414#388C2318yes—
415#388C2318yes—
416#388C2318yes—
417#388C2318yes—
418#388C2318yes—
419#388C2318yes—
420#388C2318yes—
421#388C2318yescomplemented
422#388C2318yescomplemented
423#388C2318yescomplemented
424#388C2318yescomplemented
425#388C2318yescomplemented
426#388C2318yescomplemented
427#388C2318yescomplemented
428#388C2318yescomplemented
429#388C2318yescomplemented
430#388C2318yescomplemented
431#388C2318yescomplemented
432#388C2318yescomplemented
433#388C2318yescomplemented
434#388C2318yescomplemented
435#388C2318yescomplemented
436#388C2318yescomplemented
437#388C2318yescomplemented
438#388C2318yescomplemented
439#388C2318yescomplemented
440#388C2318yescomplemented
441#388C2318yescomplemented
442#387C2318yescomplemented
443#387C2318yescomplemented
444#387C2318yescomplemented
445#387C2318yescomplemented
446#387C2318yescomplemented
447#387C2318yescomplemented
448#387C2318yescomplemented
449#387C2318yescomplemented
450#387C2318yescomplemented
451#387C2318yescomplemented
452#387C2318yescomplemented
453#387C2318yescomplemented
454#386C2318yes—
455#386C2318yes—
456#386C2318yes—
457#386C2318yes—
458#386C2318yes—
459#386C2318yes—
460#385C2318yes—
461#385C2318yes—
462#385C2318yescomplemented
463#385C2318yescomplemented
464#385C2318yescomplemented
465#385C2318yescomplemented
466#385C2318yescomplemented
467#385C2318yescomplemented
468#385C2318yescomplemented
469#385C2318yescomplemented
470#383C2318yescomplemented
471#381C2318yescomplemented
472#380C2318yes—
473#380C2318yescomplemented
474#380C2318yescomplemented
475#380C2318yescomplemented
476#380C2318yescomplemented
477#380C2318yescomplemented
478#380C2318yescomplemented
479#379C2318yes—
480#379C2318yes—
481#379C2318yes—
482#379C2318yes—
483#379C2318yes—
484#379C2318yes—
485#379C2318yes—
486#379C2318yes—
487#379C2318yes—
488C4×C4⋊C4C2318yescomplemented
489C4×C4⋊C4C2318yescomplemented
490C4×C4⋊C4C2318yescomplemented
491C4×C4⋊C4C2318yescomplemented
492C4×C22⋊C4C2318yes—
493C4×C22⋊C4C2318yes—
494C4×C22⋊C4C2318yescomplemented
495C4×C22⋊C4C2318yescomplemented
496C4×C22⋊C4C2318yescomplemented
497C4×C22⋊C4C2318yescomplemented
498C4×C22⋊C4C2318yescomplemented
499C4×C22⋊C4C2318yescomplemented
500C4×C22⋊C4C2318yescomplemented
501C4×C22⋊C4C2318yescomplemented
502#376C2318yescomplemented
503C2×#95C2311yescharacteristic
504C2×#95C2311yescharacteristic
505C2×#95C2311yescharacteristic
506C2×#95C2311yescharacteristic
507C2×#95C2311yescharacteristic
508C2×#95C2311yescharacteristic
509C2×#95C2311yescharacteristic
510C2×#95C2311yescharacteristic
511C2×#95C2311yescharacteristic
512C2×#95C2311yescharacteristic
513C2×#95C2311yescharacteristic
514C2×#95C2311yescharacteristic
515C2×#95C2311yescharacteristic
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
547C25—24no—
548C25—24no—
549C25—24no—
550C25—24no—
551C25—24no—
552C25—42no—
553C25—42no—
554C25—42no—
555C25—42no—
556C25—42no—
557C25—42no—
558C25—42no—
559C25—42no—
560C25—42no—
561C25C2411yescharacteristic
562C25C2411yescharacteristic
563C25C2411yescharacteristic
564C25C2411yescharacteristic
565C25C2411yescharacteristic
566C25C2414yes—
567C25C2414yes—
568C22×Q8—24no—
569C22×Q8—42no—
570C22×Q8—42no—
571C22×Q8—42no—
572C22×Q8—42no—
573C22×Q8—42no—
574C22×Q8C2414yes—
575C22×Q8C2414yes—
576C22×D4—24no—
577C22×D4—24no—
578C22×D4—24no—
579C22×D4—24no—
580C22×D4—232no—
581C22×D4—24no—
582C22×D4—24no—
583C22×D4—24no—
584C22×D4—416no—
585C22×D4—42no—
586C22×D4—42no—
587C22×D4—42no—
588C22×D4—42no—
589C22×D4—416no—
590C22×D4—464no—
591C22×D4#4118yes—
592C22×D4C2414yes—
593C22×D4C2414yes—
594C22×D4C2414yes—
595C22×D4C2414yes—
596C23×C4—24no—
597C23×C4—24no—
598C23×C4—24no—
599C23×C4—24no—
600C23×C4—24no—
601C23×C4—24no—
602C23×C4—24no—
603C23×C4—24no—
604C23×C4—42no—
605C23×C4—42no—
606C23×C4—42no—
607C23×C4—42no—
608C23×C4—42no—
609C23×C4—42no—
610C23×C4—42no—
611C23×C4—42no—
612C23×C4—42no—
613C23×C4—42no—
614C23×C4—42no—
615C23×C4—42no—
616C23×C4—42no—
617C23×C4C2411yescharacteristic
618C23×C4C2411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625C23×C4C2411yescharacteristic
626C23×C4C2411yescharacteristic
627C23×C4C2411yescharacteristic
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637C23×C4C2411yescharacteristic
638C23×C4C2411yescharacteristic
639C23×C4C2414yes—
640C23×C4C2414yes—
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2414yes—
646C23×C4C2414yes—
647C23×C4C2414yes—
648C23×C4C2414yes—
649C23×C4C2414yes—
650#126—232no—
651#126—416no—
652#125—416no—
653#124—232no—
654#124—416no—
655#123—232no—
656#123—416no—
657C22⋊Q8—416no—
658C4×Q8—416no—
659C4×D4—416no—
660C4×D4—416no—
661#117—416no—
662C2×C4⋊C4—24no—
663C2×C4⋊C4—24no—
664C2×C4⋊C4—24no—
665C2×C4⋊C4—24no—
666C2×C4⋊C4—24no—
667C2×C4⋊C4—24no—
668C2×C4⋊C4—24no—
669C2×C4⋊C4—24no—
670C2×C4⋊C4—24no—
671C2×C4⋊C4—24no—
672C2×C4⋊C4—42no—
673C2×C4⋊C4—42no—
674C2×C4⋊C4—42no—
675C2×C4⋊C4—42no—
676C2×C4⋊C4—42no—
677C2×C4⋊C4—42no—
678C2×C4⋊C4—42no—
679C2×C4⋊C4—42no—
680C2×C4⋊C4—42no—
681C2×C4⋊C4—42no—
682C2×C4⋊C4—42no—
683C2×C4⋊C4—42no—
684C2×C4⋊C4—42no—
685C2×C4⋊C4—42no—
686C2×C4⋊C4—42no—
687C2×C4⋊C4—42no—
688C2×C4⋊C4—42no—
689C2×C4⋊C4—42no—
690C2×C4⋊C4C2414yes—
691C2×C4⋊C4C2414yes—
692C2×C4⋊C4C2414yes—
693C2×C4⋊C4C2414yes—
694C2×C4⋊C4C2414yes—
695C2×C4⋊C4C2414yes—
696C2×C4⋊C4C2414yes—
697C2×C4⋊C4C2414yes—
698C2×C4⋊C4C2414yes—
699C2×C4⋊C4C2414yes—
700C2×C4⋊C4C2414yes—
701C2×C4⋊C4C2414yes—
702C2×C4⋊C4C2414yes—
703C2×C4⋊C4C2414yes—
704C2×C4⋊C4C2414yes—
705C2×C4⋊C4C2414yes—
706C2×C4⋊C4C2414yes—
707C2×C4⋊C4C2414yes—
708C2×C4⋊C4C2414yes—
709C2×C4⋊C4C2414yes—
710C2×C4⋊C4C2414yes—
711C2×C4⋊C4C2414yes—
712C2×C4⋊C4C2414yes—
713C2×C4⋊C4C2414yes—
714C2×C4⋊C4C2414yes—
715C2×C4⋊C4C2414yes—
716C2×C4⋊C4C2414yes—
717C2×C4⋊C4C2414yes—
718C2×C22⋊C4—24no—
719C2×C22⋊C4—24no—
720C2×C22⋊C4—24no—
721C2×C22⋊C4—24no—
722C2×C22⋊C4—24no—
723C2×C22⋊C4—24no—
724C2×C22⋊C4—24no—
725C2×C22⋊C4—24no—
726C2×C22⋊C4—24no—
727C2×C22⋊C4—24no—
728C2×C22⋊C4—24no—
729C2×C22⋊C4—24no—
730C2×C22⋊C4—24no—
731C2×C22⋊C4—24no—
732C2×C22⋊C4—24no—
733C2×C22⋊C4—24no—
734C2×C22⋊C4—24no—
735C2×C22⋊C4—24no—
736C2×C22⋊C4—24no—
737C2×C22⋊C4—24no—
738C2×C22⋊C4—232no—
739C2×C22⋊C4—232no—
740C2×C22⋊C4—416no—
741C2×C22⋊C4—42no—
742C2×C22⋊C4—42no—
743C2×C22⋊C4—42no—
744C2×C22⋊C4—42no—
745C2×C22⋊C4—42no—
746C2×C22⋊C4—42no—
747C2×C22⋊C4—42no—
748C2×C22⋊C4—42no—
749C2×C22⋊C4—42no—
750C2×C22⋊C4—42no—
751C2×C22⋊C4—42no—
752C2×C22⋊C4—42no—
753C2×C22⋊C4—42no—
754C2×C22⋊C4—42no—
755C2×C22⋊C4—42no—
756C2×C22⋊C4—42no—
757C2×C22⋊C4—42no—
758C2×C22⋊C4—42no—
759C2×C22⋊C4—42no—
760C2×C22⋊C4—42no—
761C2×C22⋊C4—42no—
762C2×C22⋊C4—42no—
763C2×C22⋊C4—42no—
764C2×C22⋊C4—42no—
765C2×C22⋊C4—42no—
766C2×C22⋊C4—42no—
767C2×C22⋊C4—42no—
768C2×C22⋊C4—42no—
769C2×C22⋊C4—42no—
770C2×C22⋊C4—42no—
771C2×C22⋊C4—42no—
772C2×C22⋊C4—42no—
773C2×C22⋊C4—42no—
774C2×C22⋊C4#4118yes—
775C2×C22⋊C4C2414yes—
776C2×C22⋊C4C2414yes—
777C2×C22⋊C4C2414yes—
778C2×C22⋊C4C2414yes—
779C2×C22⋊C4C2414yes—
780C2×C22⋊C4C2414yes—
781C2×C22⋊C4C2414yes—
782C2×C22⋊C4C2414yes—
783C2×C22⋊C4C2414yes—
784C2×C22⋊C4C2414yes—
785C2×C22⋊C4C2414yes—
786C2×C22⋊C4C2414yes—
787C2×C22⋊C4C2414yes—
788C2×C22⋊C4C2414yes—
789C2×C22⋊C4C2414yes—
790C2×C22⋊C4C2414yes—
791C2×C22⋊C4C2414yes—
792C2×C22⋊C4C2414yes—
793C2×C22⋊C4C2414yes—
794C2×C22⋊C4C2414yes—
795C2×C22⋊C4C2414yes—
796C2×C22⋊C4C2414yes—
797C2×C22⋊C4C2414yes—
798C2×C22⋊C4C2414yes—
799C2×C22⋊C4C2414yes—
800C2×C22⋊C4C2414yes—
801C2×C22⋊C4C2414yes—
802C2×C22⋊C4C2414yes—
803C2×C22⋊C4C2414yes—
804C2×C22⋊C4C2414yes—
805C2×C22⋊C4C2414yes—
806C2×C22⋊C4C2414yes—
807C2×C22⋊C4C2414yes—
808C2×C22⋊C4C2414yes—
809C2×C22⋊C4C2414yes—
810C2×C22⋊C4C2414yes—
811C2×C22⋊C4C2414yes—
812C2×C22⋊C4C2414yes—
813C2×C22⋊C4C2414yes—
814C2×C22⋊C4C2414yes—
815C2×C22⋊C4C2414yes—
816C2×C22⋊C4C2414yes—
817C2×C22⋊C4C2414yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2414yes—
821C2×C22⋊C4C2414yes—
822C2×C22⋊C4C2414yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×C22⋊C4C2414yes—
828C2×C22⋊C4C2414yes—
829C2×C42—24no—
830C2×C42—24no—
831C2×C42—24no—
832C2×C42—42no—
833C2×C42—42no—
834C2×C42—42no—
835C2×C42—42no—
836C2×C42—42no—
837C2×C42—42no—
838C2×C42—42no—
839C2×C42—42no—
840C2×C42—42no—
841C2×C42—42no—
842C2×C42—42no—
843C2×C42C2414yes—
844C2×C42C2414yes—
845C2×C42C2414yes—
846C2×C42C2414yes—
847C2×C42C2414yes—
848C2×C42C2414yes—
849C2×C42C2414yes—
850C2×C42C2414yes—
851C2×C42C2414yes—
852C2×C42C2414yes—
853C2×C42C2414yes—
854C2×C42C2414yes—
855C2×C42C2414yes—
856C2×C42C2414yes—
857#95C2414yes—
858#95C2414yes—
859#95C2414yes—
860#95C2414yes—
861#95C2414yes—
862#95C2414yes—
863#95C2414yes—
864#95C2414yes—
865#95C2414yes—
866#95C2414yes—
867#95C2414yes—
868#95C2414yes—
869#95C2414yes—
870#95C2414yes—
871#95C2414yes—
872#95C2414yes—
873#95C2414yes—
874#95C2414yes—
875#95C2414yes—
876#95C2414yes—
877#95C2414yes—
878#95C2414yes—
879#95C2414yes—
880#95C2414yes—
881#95C2414yes—
882#95C2414yes—
883#95C2414yes—
884#95C2414yes—
885#95C2414yes—
886#95C2414yes—
887#95C2414yes—
888#95C2414yes—
889#95C2414yes—
890#95C2414yes—
891#95C2414yes—
892#95C2414yes—
893#95C2414yes—
894#95C2414yes—
895#95C2414yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899#95C2414yes—
900#95C2414yes—
901C24—22no—
902C24—22no—
903C24—22no—
904C24—22no—
905C24—22no—
906C24—22no—
907C24—22no—
908C24—22no—
909C24—22no—
910C24—22no—
911C24—22no—
912C24—22no—
913C24—22no—
914C24—22no—
915C24—22no—
916C24—22no—
917C24—22no—
918C24—22no—
919C24—22no—
920C24—22no—
921C24—22no—
922C24—22no—
923C24—22no—
924C24—22no—
925C24—22no—
926C24—22no—
927C24—22no—
928C24—22no—
929C24—22no—
930C24—22no—
931C24—22no—
932C24—28no—
933C24—28no—
934C24—28no—
935C24—28no—
936C24—28no—
937C24—44no—
938C24—44no—
939C24—44no—
940C24—44no—
941C24—44no—
942C24—44no—
943C24—44no—
944C24—44no—
945C24—44no—
946C24—416no—
947C24—416no—
948C24—416no—
949C24—416no—
950C24—416no—
951C24—88no—
952C24—88no—
953C24—88no—
954C24—88no—
955C24—88no—
956C24—88no—
957C24—88no—
958C24—88no—
959C24—88no—
960C24C2×#4114yes—
961C24C2×#4114yes—
962C24C2×#4114yes—
963C24H(5,𝔽2)14yes—
964C24C2512yes—
965C24C2512yes—
966C24C2512yes—
967C24C2512yes—
968C24C2512yes—
969C24C2511yescharacteristic
970C2×Q8—28no—
971C2×Q8—44no—
972C2×Q8—44no—
973C2×Q8—44no—
974C2×Q8—44no—
975C2×Q8—44no—
976C2×Q8—416no—
977C2×Q8—88no—
978C2×D4—232no—
979C2×D4—28no—
980C2×D4—28no—
981C2×D4—28no—
982C2×D4—28no—
983C2×D4—28no—
984C2×D4—28no—
985C2×D4—28no—
986C2×D4—416no—
987C2×D4—44no—
988C2×D4—44no—
989C2×D4—44no—
990C2×D4—44no—
991C2×D4—416no—
992C2×D4—416no—
993C2×D4—4128no—
994C2×D4C2×#41116yes—
995C22×C4—22no—
996C22×C4—22no—
997C22×C4—22no—
998C22×C4—22no—
999C22×C4—22no—
1000C22×C4—22no—
1001C22×C4—22no—
1002C22×C4—22no—
1003C22×C4—22no—
1004C22×C4—22no—
1005C22×C4—22no—
1006C22×C4—22no—
1007C22×C4—22no—
1008C22×C4—22no—
1009C22×C4—22no—
1010C22×C4—22no—
1011C22×C4—22no—
1012C22×C4—22no—
1013C22×C4—22no—
1014C22×C4—22no—
1015C22×C4—22no—
1016C22×C4—22no—
1017C22×C4—22no—
1018C22×C4—22no—
1019C22×C4—22no—
1020C22×C4—22no—
1021C22×C4—22no—
1022C22×C4—22no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—22no—
1029C22×C4—22no—
1030C22×C4—22no—
1031C22×C4—22no—
1032C22×C4—22no—
1033C22×C4—22no—
1034C22×C4—22no—
1035C22×C4—22no—
1036C22×C4—22no—
1037C22×C4—22no—
1038C22×C4—22no—
1039C22×C4—22no—
1040C22×C4—22no—
1041C22×C4—28no—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—28no—
1071C22×C4—28no—
1072C22×C4—28no—
1073C22×C4—28no—
1074C22×C4—28no—
1075C22×C4—28no—
1076C22×C4—28no—
1077C22×C4—44no—
1078C22×C4—44no—
1079C22×C4—416no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—44no—
1086C22×C4—44no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—416no—
1092C22×C4—88no—
1093C22×C4—88no—
1094C22×C4—88no—
1095C22×C4—88no—
1096C22×C4—88no—
1097C22×C4C2×#4114yes—
1098C22×C4C2×#4114yes—
1099C22×C4C2×#4114yes—
1100C22×C4H(5,𝔽2)14yes—
1101C22×C4C2512yes—
1102C22×C4C2512yes—
1103C22×C4C2512yes—
1104C22×C4C2512yes—
1105C22×C4C2512yes—
1106C22×C4C2512yes—
1107C22×C4C2512yes—
1108C22×C4C2512yes—
1109C22×C4C2512yes—
1110C22×C4C2512yes—
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2512yes—
1114C22×C4C2512yes—
1115C22×C4C2512yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2512yes—
1120C22×C4C2512yes—
1121C22×C4C2512yes—
1122C22×C4C2512yes—
1123C22×C4C2512yes—
1124C22×C4C2512yes—
1125C22×C4C2512yes—
1126C22×C4C2512yes—
1127C4⋊C4—28no—
1128C4⋊C4—28no—
1129C4⋊C4—28no—
1130C4⋊C4—28no—
1131C4⋊C4—28no—
1132C4⋊C4—28no—
1133C4⋊C4—28no—
1134C4⋊C4—28no—
1135C4⋊C4—28no—
1136C4⋊C4—28no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—44no—
1140C4⋊C4—44no—
1141C4⋊C4—44no—
1142C4⋊C4—44no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
1150C4⋊C4—44no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C22⋊C4—28no—
1156C22⋊C4—28no—
1157C22⋊C4—28no—
1158C22⋊C4—28no—
1159C22⋊C4—28no—
1160C22⋊C4—28no—
1161C22⋊C4—28no—
1162C22⋊C4—28no—
1163C22⋊C4—28no—
1164C22⋊C4—28no—
1165C22⋊C4—28no—
1166C22⋊C4—28no—
1167C22⋊C4—28no—
1168C22⋊C4—28no—
1169C22⋊C4—28no—
1170C22⋊C4—28no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—28no—
1174C22⋊C4—28no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
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⋊C4C2×#41116yes—
1209C42—28no—
1210C42—28no—
1211C42—28no—
1212C42—44no—
1213C42—44no—
1214C42—44no—
1215C42—44no—
1216C42—44no—
1217C42—44no—
1218C42—44no—
1219C42—44no—
1220C42—44no—
1221C42—44no—
1222C42—44no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—22no—
1247C23—28no—
1248C23—28no—
1249C23—28no—
1250C23—28no—
1251C23—28no—
1252C23—28no—
1253C23—28no—
1254C23—28no—
1255C23—28no—
1256C23—28no—
1257C23—28no—
1258C23—28no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—416no—
1267C23—416no—
1268C23—416no—
1269C23—416no—
1270C23—416no—
1271C23—44no—
1272C23—44no—
1273C23—44no—
1274C23—44no—
1275C23—44no—
1276C23—44no—
1277C23—44no—
1278C23—44no—
1279C23—44no—
1280C23—44no—
1281C23—44no—
1282C23—44no—
1283C23—44no—
1284C23—44no—
1285C23—44no—
1286C23—44no—
1287C23—44no—
1288C23—44no—
1289C23—44no—
1290C23—44no—
1291C23—44no—
1292C23—44no—
1293C23—44no—
1294C23—88no—
1295C23—88no—
1296C23—88no—
1297C23—88no—
1298C23—88no—
1299C23—88no—
1300C23—88no—
1301C23—88no—
1302C23—88no—
1303C23—864no—
1304C23—864no—
1305C23C22×#4114yes—
1306C23C22×#4114yes—
1307C23C22×#4114yes—
1308C23C22×#4112yes—
1309C23C22×#4112yes—
1310C23C2×H(5,𝔽2)14yes—
1311C23C2×H(5,𝔽2)12yes—
1312C23C2×H(5,𝔽2)12yes—
1313C23#58512yes—
1314C23#58512yes—
1315C23#58512yes—
1316C23C2611yescharacteristic
1317Q8—416no—
1318Q8—88no—
1319D4—232no—
1320D4—416no—
1321D4—416no—
1322D4—416no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—28no—
1332C2×C4—28no—
1333C2×C4—28no—
1334C2×C4—28no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—416no—
1402C2×C4—416no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—44no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—88no—
1426C2×C4—88no—
1427C2×C4—88no—
1428C2×C4—88no—
1429C2×C4—88no—
1430C2×C4C22×#4114yes—
1431C2×C4C22×#4114yes—
1432C2×C4C22×#4114yes—
1433C2×C4C2×H(5,𝔽2)14yes—
1434C22—24no—
1435C22—24no—
1436C22—24no—
1437C22—24no—
1438C22—24no—
1439C22—24no—
1440C22—24no—
1441C22—24no—
1442C22—24no—
1443C22—24no—
1444C22—24no—
1445C22—24no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—416no—
1462C22—416no—
1463C22—416no—
1464C22—416no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—42no—
1472C22—42no—
1473C22—832no—
1474C22—832no—
1475C22—88no—
1476C22#347514yes—
1477C22#349014yes—
1478C22#351314yes—
1479C22#351414yes—
1480C22#352114yes—
1481C22#354014yes—
1482C22#356014yes—
1483C22C23×#4111yescharacteristic
1484C22C23×#4111yescharacteristic
1485C22C22×H(5,𝔽2)11yescharacteristic
1486C22C22×H(5,𝔽2)11yescharacteristic
1487C22C2×#58511yescharacteristic
1488C22C2×#58511yescharacteristic
1489C22C2×#58511yescharacteristic
1490C4—24no—
1491C4—24no—
1492C4—24no—
1493C4—24no—
1494C4—42no—
1495C4—42no—
1496C4—42no—
1497C4—42no—
1498C4—42no—
1499C4—42no—
1500C4—42no—
1501C4—42no—
1502C4—42no—
1503C4—42no—
1504C4—42no—
1505C4—42no—
1506C4—42no—
1507C4—42no—
1508C4—42no—
1509C4—42no—
1510C4—42no—
1511C4—42no—
1512C4—42no—
1513C4—42no—
1514C4—42no—
1515C4—42no—
1516C2—44no—
1517C2—44no—
1518C2—44no—
1519C2—44no—
1520C2—82no—
1521C2#4367418yesdirect product factor
1522C2C2×#347511yescharacteristic
1523C2C2×#354011yescharacteristic
1524C2C2×#356011yescharacteristic
1525C2C2×#349011yescharacteristic
1526C2C2×#351311yescharacteristic
1527C2C2×#351411yescharacteristic
1528C2C2×#352111yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC24×D4C22
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×#2796C2semidirect
2. C2×#2784C2semidirect
3. C2×#2737C2semidirect
4. C2×#2736C2semidirect
5. C2×#2736C2semidirect
6. C2×#2735C2semidirect
7. C2×#2717C2semidirect
8. C2×#2690C2semidirect
9. #43674C2direct (N × H)
10. C2×#2597C2semidirect
11. C2×#2577C2semidirect
12. C2×#2558C2semidirect
13. C2×#2531C2semidirect
14. C2×#2485C2semidirect
15. C2×#2521C2semidirect
16. C2×#2474C2semidirect
17. C2×#2458C2semidirect
18. C2×#2468C2semidirect
20. C2×#2465C2semidirect
21. C2×#2460C2semidirect
22. C2×#2480C2semidirect
23. C2×#2480C2semidirect
24. C2×#2480C2semidirect
26. C2×#2398C2semidirect
27. C2×#2374C2semidirect
28. C2×#2373C2semidirect
29. C2×#2342C2semidirect
31. C2×#2337C2semidirect
32. C2×#2312C2semidirect
35. C22×#126C22semidirect
36. C22×#125C22semidirect
42. C22×C4×Q8C22semidirect
45. C22×#117C22semidirect
49. #2796C22semidirect
50. #2784C22semidirect
51. #2737C22semidirect
52. #2736C22semidirect
53. #2736C22semidirect
54. #2735C22semidirect
55. #2717C22semidirect
56. #2690C22semidirect
57. #2597C22semidirect
58. #2577C22semidirect
59. #2558C22semidirect
60. #2531C22semidirect
61. #2521C22semidirect
62. #2485C22semidirect
63. #2480C22semidirect
64. #2480C22semidirect
65. #2480C22semidirect
66. #2474C22semidirect
67. #2468C22semidirect
68. #2465C22semidirect
69. #2460C22semidirect
70. #2458C22semidirect
73. #2398C22semidirect
74. C2×#400C22semidirect
75. C2×#400C22semidirect
76. C2×#400C22semidirect
77. C2×#399C22semidirect
78. C2×#398C22semidirect
79. C2×#398C22semidirect
84. C2×#397C22semidirect
85. C2×#397C22semidirect
86. C2×#397C22semidirect
87. C2×#397C22semidirect
88. C2×#397C22semidirect
89. C2×#397C22semidirect
90. C2×#397C22semidirect
91. C2×#397C22semidirect
92. C2×#397C22semidirect
93. C2×#397C22semidirect
95. C2×#396C22semidirect
96. C2×#396C22semidirect
97. C2×#396C22semidirect
98. C2×#395C22semidirect
99. C2×#395C22semidirect
100. C2×#395C22semidirect
110. C2×#393C22semidirect
111. C2×#393C22semidirect
112. C2×#393C22semidirect
113. C2×#393C22semidirect
114. #2374C22semidirect
115. #2373C22semidirect
116. #2342C22semidirect
118. #2337C22semidirect
119. #2312C22semidirect
120. C2×#391C22semidirect
121. C2×#391C22semidirect
126. C2×#389C22semidirect
127. C2×#389C22semidirect
137. C2×#388C22semidirect
138. C2×#388C22semidirect
139. C2×#388C22semidirect
140. C2×#388C22semidirect
141. C2×#388C22semidirect
142. C2×#388C22semidirect
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×#387C22semidirect
159. C2×#387C22semidirect
160. C2×#387C22semidirect
161. C2×#387C22semidirect
162. C2×#387C22semidirect
163. C2×#387C22semidirect
164. C2×#387C22semidirect
165. C2×#387C22semidirect
166. C2×#387C22semidirect
167. C2×#387C22semidirect
168. C2×#387C22semidirect
169. C2×#387C22semidirect
178. C2×#385C22semidirect
179. C2×#385C22semidirect
180. C2×#385C22semidirect
181. C2×#385C22semidirect
182. C2×#385C22semidirect
183. C2×#385C22semidirect
184. C2×#385C22semidirect
185. C2×#385C22semidirect
186. C2×#383C22semidirect
187. C2×#381C22semidirect
189. C2×#380C22semidirect
190. C2×#380C22semidirect
191. C2×#380C22semidirect
192. C2×#380C22semidirect
193. C2×#380C22semidirect
194. C2×#380C22semidirect
204. C2×C4×C4⋊C4C22semidirect
205. C2×C4×C4⋊C4C22semidirect
206. C2×C4×C4⋊C4C22semidirect
207. C2×C4×C4⋊C4C22semidirect
210. C2×C4×C22⋊C4C22semidirect
211. C2×C4×C22⋊C4C22semidirect
212. C2×C4×C22⋊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×#376C22semidirect
241. C2×#126C23semidirect
243. C2×#125C23semidirect
255. C2×C4×Q8C23semidirect
261. C2×#117C23semidirect
364. #400C23semidirect
365. #400C23semidirect
366. #400C23semidirect
367. #399C23semidirect
368. #398C23semidirect
369. #398C23semidirect
374. #397C23semidirect
375. #397C23semidirect
376. #397C23semidirect
377. #397C23semidirect
378. #397C23semidirect
379. #397C23semidirect
380. #397C23semidirect
381. #397C23semidirect
382. #397C23semidirect
383. #397C23semidirect
385. #396C23semidirect
386. #396C23semidirect
387. #396C23semidirect
388. #395C23semidirect
389. #395C23semidirect
390. #395C23semidirect
400. #393C23semidirect
401. #393C23semidirect
402. #393C23semidirect
403. #393C23semidirect
404. #391C23semidirect
405. #391C23semidirect
410. #389C23semidirect
411. #389C23semidirect
421. #388C23semidirect
422. #388C23semidirect
423. #388C23semidirect
424. #388C23semidirect
425. #388C23semidirect
426. #388C23semidirect
427. #388C23semidirect
428. #388C23semidirect
429. #388C23semidirect
430. #388C23semidirect
431. #388C23semidirect
432. #388C23semidirect
433. #388C23semidirect
434. #388C23semidirect
435. #388C23semidirect
436. #388C23semidirect
437. #388C23semidirect
438. #388C23semidirect
439. #388C23semidirect
440. #388C23semidirect
441. #388C23semidirect
442. #387C23semidirect
443. #387C23semidirect
444. #387C23semidirect
445. #387C23semidirect
446. #387C23semidirect
447. #387C23semidirect
448. #387C23semidirect
449. #387C23semidirect
450. #387C23semidirect
451. #387C23semidirect
452. #387C23semidirect
453. #387C23semidirect
462. #385C23semidirect
463. #385C23semidirect
464. #385C23semidirect
465. #385C23semidirect
466. #385C23semidirect
467. #385C23semidirect
468. #385C23semidirect
469. #385C23semidirect
470. #383C23semidirect
471. #381C23semidirect
473. #380C23semidirect
474. #380C23semidirect
475. #380C23semidirect
476. #380C23semidirect
477. #380C23semidirect
478. #380C23semidirect
488. C4×C4⋊C4C23semidirect
489. C4×C4⋊C4C23semidirect
490. C4×C4⋊C4C23semidirect
491. C4×C4⋊C4C23semidirect
494. C4×C22⋊C4C23semidirect
495. C4×C22⋊C4C23semidirect
496. C4×C22⋊C4C23semidirect
497. C4×C22⋊C4C23semidirect
498. C4×C22⋊C4C23semidirect
499. C4×C22⋊C4C23semidirect
500. C4×C22⋊C4C23semidirect
501. C4×C22⋊C4C23semidirect
502. #376C23semidirect
1521. C2#43674direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27962
C2×#27842
C2×#27372
C2×#27362
C2×#27352
C2×#27172
C2×#26902
#436742
C2×#25972
C2×#25772
C2×#25582
C2×#25312
C2×#24852
C2×#25212
C2×#24742
C2×#24582
C2×#24682
C2×#24352
C2×#24652
C2×#24602
C2×#24802
C2×#24052
C2×#23982
C2×#23742
C2×#23732
C2×#23422
C2×D4×C22⋊C42
C2×#23372
C2×#23122