Finite Group Databasebeta

← C2×#34806 #7627971

Subgroups — C2×#34806 #7627971

Order 512.

7444 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34806C2132yesmaximal, direct product factor
2C2×#2498C211yesmaximal, characteristic, complemented
3C2×#2482C211yesmaximal, characteristic, complemented
4C2×#2527C211yesmaximal, characteristic, complemented
5C2×#2526C211yesmaximal, characteristic, complemented
6C2×#2531C211yesmaximal, characteristic, complemented
7C2×#2530C211yesmaximal, characteristic, complemented
8C2×#2516C211yesmaximal, characteristic, complemented
9C2×#2515C211yesmaximal, characteristic, complemented
10C2×#2522C211yesmaximal, characteristic, complemented
11C2×#2521C211yesmaximal, characteristic, complemented
12C2×#2510C211yesmaximal, characteristic, complemented
13C2×#2505C211yesmaximal, characteristic, complemented
14C2×#2438C211yesmaximal, characteristic, complemented
15C2×#2411C211yesmaximal, characteristic
16C2×#2480C211yesmaximal, characteristic, complemented
17C2×#2472C211yesmaximal, characteristic
18C2×#2401C211yesmaximal, characteristic, complemented
19C2×#2396C211yesmaximal, characteristic, complemented
20C2×#2395C211yesmaximal, characteristic, complemented
21C2×#2395C211yesmaximal, characteristic, complemented
22C2×C4×#126C211yesmaximal, characteristic, complemented
23C2×C4×#124C211yesmaximal, characteristic, complemented
24C2×C4×C22⋊Q8C211yesmaximal, characteristic, complemented
25C2×C4×#123C211yesmaximal, characteristic, complemented
26C2×C4×#120C211yesmaximal, characteristic
27C2×#2298C211yesmaximal, characteristic, complemented
28C2×#2293C211yesmaximal, characteristic, complemented
29C2×#2290C211yesmaximal, characteristic, complemented
30C2×#2280C211yesmaximal, characteristic, complemented
31C2×C4×#117C211yesmaximal, characteristic, complemented
32C22×C4×C22⋊C4C211yesmaximal, characteristic, complemented
33C25×C4C2211yescharacteristic
34C22×#126C2211yescharacteristic
35C22×#124C2211yescharacteristic
36C22×#123C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic
38C22×#120C2211yescharacteristic
39C22×C4×Q8C2211yescharacteristic, complemented
40C22×C4×D4C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×#117C2211yescharacteristic
44C22×#117C2211yescharacteristic
45C22×#117C2211yescharacteristic
46C22×#117C2211yescharacteristic
47C22×#117C2211yescharacteristic, complemented
48C23×C22⋊C4C2211yescharacteristic
49C23×C22⋊C4C2211yescharacteristic
50C23×C42C2211yescharacteristic
51C23×C42C2211yescharacteristic
52#2531C22116yescomplemented
53#2530C22116yescomplemented
54#2527C22116yescomplemented
55#2526C22116yescomplemented
56#2522C22116yescomplemented
57#2521C22116yescomplemented
58#2516C22116yescomplemented
59#2515C22116yescomplemented
60#2510C22116yescomplemented
61#2505C22116yescomplemented
62#2498C22116yescomplemented
63#2482C22116yescomplemented
64#2480C22116yescomplemented
65#2472C22116yes—
66#2438C22116yescomplemented
67#2411C22116yes—
68#2401C22116yescomplemented
69C2×#401C2211yescharacteristic, complemented
70#2396C22116yescomplemented
71#2395C22116yescomplemented
72#2395C22116yescomplemented
73C2×#400C2211yescharacteristic, complemented
74C2×#400C2211yescharacteristic, complemented
75C2×#400C2211yescharacteristic, complemented
76C2×#400C2211yescharacteristic, complemented
77C2×#400C2211yescharacteristic, complemented
78C2×#400C2211yescharacteristic, complemented
79C2×#399C2211yescharacteristic
80C2×#399C2211yescharacteristic
81C2×#399C2211yescharacteristic, complemented
82C2×#398C2211yescharacteristic, complemented
83C2×#398C2211yescharacteristic, complemented
84C2×#398C2211yescharacteristic, complemented
85C2×#398C2211yescharacteristic, complemented
86C2×#397C2211yescharacteristic
87C2×#397C2211yescharacteristic
88C2×#397C2211yescharacteristic
89C2×#397C2211yescharacteristic
90C2×#397C2211yescharacteristic
91C2×#397C2211yescharacteristic
92C2×#397C2211yescharacteristic, complemented
93C2×#397C2211yescharacteristic, complemented
94C2×#397C2211yescharacteristic, complemented
95C2×#396C2211yescharacteristic
96C2×#396C2211yescharacteristic
97C2×#396C2211yescharacteristic
98C2×#395C2211yescharacteristic, complemented
99C2×#394C2211yescharacteristic
100C2×#394C2211yescharacteristic
101C2×#394C2211yescharacteristic
102C2×#394C2211yescharacteristic
103C2×#393C2211yescharacteristic
104C4×#126C22116yescomplemented
105C4×#124C22116yescomplemented
106C4×C22⋊Q8C22116yescomplemented
107C4×#123C22116yescomplemented
108C4×#120C22116yes—
109#2298C22116yescomplemented
110C2×#391C2211yescharacteristic, complemented
111C2×#391C2211yescharacteristic, complemented
112#2293C22116yescomplemented
113C2×#390C2211yescharacteristic
114C2×#390C2211yescharacteristic
115C2×#390C2211yescharacteristic
116C2×#389C2211yescharacteristic, complemented
117C2×#389C2211yescharacteristic, complemented
118C2×#389C2211yescharacteristic, complemented
119#2290C22116yescomplemented
120C2×#388C2211yescharacteristic
121C2×#388C2211yescharacteristic
122C2×#388C2211yescharacteristic
123C2×#388C2211yescharacteristic
124C2×#388C2211yescharacteristic
125C2×#388C2211yescharacteristic
126C2×#388C2211yescharacteristic
127C2×#388C2211yescharacteristic
128C2×#388C2211yescharacteristic
129C2×#388C2211yescharacteristic
130C2×#388C2211yescharacteristic
131C2×#388C2211yescharacteristic, complemented
132C2×#388C2211yescharacteristic, complemented
133C2×#388C2211yescharacteristic, complemented
134C2×#388C2211yescharacteristic, complemented
135C2×#388C2211yescharacteristic, complemented
136C2×#388C2211yescharacteristic, complemented
137C2×#388C2211yescharacteristic, complemented
138C2×#388C2211yescharacteristic, complemented
139C2×#387C2211yescharacteristic, complemented
140C2×#387C2211yescharacteristic, complemented
141C2×#387C2211yescharacteristic, complemented
142C2×#387C2211yescharacteristic, complemented
143C2×#387C2211yescharacteristic, complemented
144C2×#387C2211yescharacteristic, complemented
145C2×#387C2211yescharacteristic, complemented
146C2×#387C2211yescharacteristic, complemented
147C2×#387C2211yescharacteristic, complemented
148C2×#387C2211yescharacteristic, complemented
149C2×#387C2211yescharacteristic, complemented
150C2×#387C2211yescharacteristic, complemented
151C2×#387C2211yescharacteristic, complemented
152C2×#386C2211yescharacteristic
153C2×#386C2211yescharacteristic
154C2×#386C2211yescharacteristic
155C2×#386C2211yescharacteristic
156C2×#386C2211yescharacteristic
157C2×#386C2211yescharacteristic
158C2×#385C2211yescharacteristic
159C2×#385C2211yescharacteristic
160C2×#385C2211yescharacteristic
161C2×#385C2211yescharacteristic
162C2×#385C2211yescharacteristic
163C2×#385C2211yescharacteristic
164C2×#385C2211yescharacteristic
165C2×#385C2211yescharacteristic
166C2×#383C2211yescharacteristic, complemented
167C2×#382C2211yescharacteristic, complemented
168#2280C22116yescomplemented
169C2×#381C2211yescharacteristic
170C2×#381C2211yescharacteristic
171C2×#381C2211yescharacteristic
172C2×#380C2211yescharacteristic
173C2×#380C2211yescharacteristic
174C2×#380C2211yescharacteristic
175C2×#380C2211yescharacteristic
176C2×#380C2211yescharacteristic
177C2×#379C2211yescharacteristic
178C2×#379C2211yescharacteristic
179C2×#379C2211yescharacteristic
180C4×#117C22116yescomplemented
181C2×C4×C4⋊C4C2211yescharacteristic, complemented
182C2×C4×C4⋊C4C2211yescharacteristic, complemented
183C2×C4×C4⋊C4C2211yescharacteristic, complemented
184C2×C4×C4⋊C4C2211yescharacteristic, complemented
185C2×C4×C4⋊C4C2211yescharacteristic, complemented
186C2×C4×C4⋊C4C2211yescharacteristic, complemented
187C2×C4×C4⋊C4C2211yescharacteristic, complemented
188C2×C4×C4⋊C4C2211yescharacteristic, complemented
189C2×C4×C4⋊C4C2211yescharacteristic, complemented
190C2×C4×C4⋊C4C2211yescharacteristic, complemented
191C2×C4×C22⋊C4C2211yescharacteristic
192C2×C4×C22⋊C4C2211yescharacteristic
193C2×C4×C22⋊C4C2211yescharacteristic
194C2×C4×C22⋊C4C2211yescharacteristic
195C2×C4×C22⋊C4C2211yescharacteristic
196C2×C4×C22⋊C4C2211yescharacteristic
197C2×C4×C22⋊C4C2211yescharacteristic
198C2×C4×C22⋊C4C2211yescharacteristic
199C2×C4×C22⋊C4C2211yescharacteristic
200C2×C4×C22⋊C4C2211yescharacteristic
201C2×C4×C22⋊C4C2211yescharacteristic
202C2×C4×C22⋊C4C2211yescharacteristic
203C2×C4×C22⋊C4C2211yescharacteristic
204C2×C4×C22⋊C4C2211yescharacteristic
205C2×C4×C22⋊C4C2211yescharacteristic
206C2×C4×C22⋊C4C2211yescharacteristic
207C2×C4×C22⋊C4C2211yescharacteristic
208C2×C4×C22⋊C4C22116yescomplemented
209C2×C4×C22⋊C4C2211yescharacteristic, complemented
210C2×C4×C22⋊C4C2211yescharacteristic, complemented
211C2×C4×C22⋊C4C2211yescharacteristic, complemented
212C2×#376C2211yescharacteristic, complemented
213C2×#376C2211yescharacteristic, complemented
214C2×#376C2211yescharacteristic, complemented
215C22×#95C2211yescharacteristic
216C22×#95C2211yescharacteristic
217C2×C43C2211yescharacteristic, complemented
218C2×C43C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C24×C4—28no—
225C24×C4—28no—
226C24×C4—44no—
227C24×C4C2311yescharacteristic
228C24×C4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2318yes—
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C2×#126—28no—
240C2×#126C2318yes—
241C2×#124—28no—
242C2×#124C2318yes—
243C2×#123—28no—
244C2×#123C2318yes—
245C2×C22⋊Q8—28no—
246C2×C22⋊Q8C2318yes—
247C2×#120—28no—
248C2×#120C2318yes—
249C2×C4×Q8—44no—
250C2×C4×Q8C2318yescomplemented
251C2×C4×D4—28no—
252C2×C4×D4—28no—
253C2×C4×D4—44no—
254C2×C4×D4C2318yes—
255C2×C4×D4C2318yes—
256C2×C4×D4C2318yes—
257C2×#117—28no—
258C2×#117—28no—
259C2×#117—28no—
260C2×#117—44no—
261C2×#117—44no—
262C2×#117C2318yes—
263C2×#117C2318yes—
264C2×#117C2318yes—
265C2×#117C2318yes—
266C2×#117C2318yescomplemented
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×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C22⋊C4—28no—
296C22×C22⋊C4—28no—
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⋊C4C2318yes—
313C22×C22⋊C4C2318yes—
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
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×C42—28no—
340C22×C42—44no—
341C22×C42C2311yescharacteristic
342C22×C42C2311yescharacteristic
343C22×C42C2318yes—
344C22×C42C2311yescharacteristic
345C22×C42C2311yescharacteristic
346C22×C42C2311yescharacteristic
347C22×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
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×C42C2318yes—
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366#401C2318yescomplemented
367#400C2318yescomplemented
368#400C2318yescomplemented
369#400C2318yescomplemented
370#400C2318yescomplemented
371#400C2318yescomplemented
372#400C2318yescomplemented
373#399C2318yes—
374#399C2318yes—
375#399C2318yescomplemented
376#398C2318yescomplemented
377#398C2318yescomplemented
378#398C2318yescomplemented
379#398C2318yescomplemented
380#397C2318yes—
381#397C2318yes—
382#397C2318yes—
383#397C2318yes—
384#397C2318yes—
385#397C2318yes—
386#397C2318yescomplemented
387#397C2318yescomplemented
388#397C2318yescomplemented
389#396C2318yes—
390#396C2318yes—
391#396C2318yes—
392#395C2318yescomplemented
393#394C2318yes—
394#394C2318yes—
395#394C2318yes—
396#394C2318yes—
397#393C2318yes—
398#391C2318yescomplemented
399#391C2318yescomplemented
400#390C2318yes—
401#390C2318yes—
402#390C2318yes—
403#389C2318yescomplemented
404#389C2318yescomplemented
405#389C2318yescomplemented
406#388C2318yes—
407#388C2318yes—
408#388C2318yes—
409#388C2318yes—
410#388C2318yes—
411#388C2318yes—
412#388C2318yes—
413#388C2318yes—
414#388C2318yes—
415#388C2318yes—
416#388C2318yes—
417#388C2318yescomplemented
418#388C2318yescomplemented
419#388C2318yescomplemented
420#388C2318yescomplemented
421#388C2318yescomplemented
422#388C2318yescomplemented
423#388C2318yescomplemented
424#388C2318yescomplemented
425#387C2318yescomplemented
426#387C2318yescomplemented
427#387C2318yescomplemented
428#387C2318yescomplemented
429#387C2318yescomplemented
430#387C2318yescomplemented
431#387C2318yescomplemented
432#387C2318yescomplemented
433#387C2318yescomplemented
434#387C2318yescomplemented
435#387C2318yescomplemented
436#387C2318yescomplemented
437#387C2318yescomplemented
438#386C2318yes—
439#386C2318yes—
440#386C2318yes—
441#386C2318yes—
442#386C2318yes—
443#386C2318yes—
444#385C2318yes—
445#385C2318yes—
446#385C2318yes—
447#385C2318yes—
448#385C2318yes—
449#385C2318yes—
450#385C2318yes—
451#385C2318yes—
452#383C2318yescomplemented
453#382C2318yescomplemented
454#381C2318yes—
455#381C2318yes—
456#381C2318yes—
457#380C2318yes—
458#380C2318yes—
459#380C2318yes—
460#380C2318yes—
461#380C2318yes—
462#379C2318yes—
463#379C2318yes—
464#379C2318yes—
465C4×C4⋊C4C2318yescomplemented
466C4×C4⋊C4C2318yescomplemented
467C4×C4⋊C4C2318yescomplemented
468C4×C4⋊C4C2318yescomplemented
469C4×C4⋊C4C2318yescomplemented
470C4×C4⋊C4C2318yescomplemented
471C4×C4⋊C4C2318yescomplemented
472C4×C4⋊C4C2318yescomplemented
473C4×C4⋊C4C2318yescomplemented
474C4×C4⋊C4C2318yescomplemented
475C4×C22⋊C4C2318yes—
476C4×C22⋊C4C2318yes—
477C4×C22⋊C4C2318yes—
478C4×C22⋊C4C2318yes—
479C4×C22⋊C4C2318yes—
480C4×C22⋊C4C2318yes—
481C4×C22⋊C4C2318yes—
482C4×C22⋊C4C2318yes—
483C4×C22⋊C4C2318yes—
484C4×C22⋊C4C2318yes—
485C4×C22⋊C4C2318yes—
486C4×C22⋊C4C2318yes—
487C4×C22⋊C4C2318yes—
488C4×C22⋊C4C2318yes—
489C4×C22⋊C4C2318yes—
490C4×C22⋊C4C2318yes—
491C4×C22⋊C4C2318yes—
492C4×C22⋊C4C2318yescomplemented
493C4×C22⋊C4C2318yescomplemented
494C4×C22⋊C4C2318yescomplemented
495#376C2318yescomplemented
496#376C2318yescomplemented
497#376C2318yescomplemented
498C2×#95C2311yescharacteristic
499C2×#95C2311yescharacteristic
500C2×#95C2311yescharacteristic
501C2×#95C2311yescharacteristic
502C2×#95C2311yescharacteristic
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×#95C2318yes—
533C2×#95C2318yes—
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
548C43C2318yescomplemented
549C43C2318yescomplemented
550C25—24no—
551C25—24no—
552C25—24no—
553C25—24no—
554C25—24no—
555C25—42no—
556C25—42no—
557C25C2411yescharacteristic
558C25C2411yescharacteristic
559C25C2411yescharacteristic
560C25C2414yes—
561C25C2411yescharacteristic
562C22×Q8—24no—
563C22×Q8—24no—
564C22×Q8—42no—
565C22×Q8C2414yes—
566C22×D4—24no—
567C22×D4—24no—
568C22×D4—24no—
569C22×D4—24no—
570C22×D4—24no—
571C22×D4—24no—
572C22×D4—24no—
573C22×D4—42no—
574C22×D4—42no—
575C22×D4C2414yes—
576C22×D4C2414yes—
577C22×D4C2414yes—
578C23×C4—24no—
579C23×C4—24no—
580C23×C4—24no—
581C23×C4—24no—
582C23×C4—24no—
583C23×C4—24no—
584C23×C4—24no—
585C23×C4—24no—
586C23×C4—24no—
587C23×C4—24no—
588C23×C4—24no—
589C23×C4—24no—
590C23×C4—24no—
591C23×C4—24no—
592C23×C4—24no—
593C23×C4—24no—
594C23×C4—24no—
595C23×C4—232no—
596C23×C4—232no—
597C23×C4—24no—
598C23×C4—24no—
599C23×C4—24no—
600C23×C4—24no—
601C23×C4—24no—
602C23×C4—24no—
603C23×C4—416no—
604C23×C4—42no—
605C23×C4—42no—
606C23×C4—42no—
607C23×C4—42no—
608C23×C4—42no—
609C23×C4—42no—
610C23×C4—42no—
611C23×C4—464no—
612C23×C4#4118yes—
613C23×C4#4118yes—
614C23×C4#4118yes—
615C23×C4C2411yescharacteristic
616C23×C4C2411yescharacteristic
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×C4C2414yes—
634C23×C4C2414yes—
635C23×C4C2414yes—
636C23×C4C2414yes—
637C23×C4C2414yes—
638C23×C4C2414yes—
639C23×C4C2414yes—
640C23×C4C2411yescharacteristic
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2414yes—
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649C23×C4C2414yes—
650C23×C4C2414yes—
651C23×C4C2414yes—
652C23×C4C2411yescharacteristic
653#126—232no—
654#124—232no—
655#123—232no—
656C22⋊Q8—232no—
657#120—232no—
658C4×Q8—416no—
659C4×D4—232no—
660C4×D4—232no—
661C4×D4—416no—
662#117—232no—
663#117—232no—
664#117—232no—
665#117—416no—
666#117—416no—
667C2×C4⋊C4—24no—
668C2×C4⋊C4—24no—
669C2×C4⋊C4—24no—
670C2×C4⋊C4—24no—
671C2×C4⋊C4—24no—
672C2×C4⋊C4—24no—
673C2×C4⋊C4—24no—
674C2×C4⋊C4—24no—
675C2×C4⋊C4—24no—
676C2×C4⋊C4—24no—
677C2×C4⋊C4—24no—
678C2×C4⋊C4—24no—
679C2×C4⋊C4—24no—
680C2×C4⋊C4—24no—
681C2×C4⋊C4—24no—
682C2×C4⋊C4—24no—
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⋊C4—42no—
691C2×C4⋊C4—42no—
692C2×C4⋊C4—42no—
693C2×C4⋊C4—42no—
694C2×C4⋊C4—42no—
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×C4⋊C4C2414yes—
719C2×C4⋊C4C2414yes—
720C2×C4⋊C4C2414yes—
721C2×C4⋊C4C2414yes—
722C2×C4⋊C4C2414yes—
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—24no—
739C2×C22⋊C4—24no—
740C2×C22⋊C4—24no—
741C2×C22⋊C4—24no—
742C2×C22⋊C4—232no—
743C2×C22⋊C4—24no—
744C2×C22⋊C4—24no—
745C2×C22⋊C4—24no—
746C2×C22⋊C4—24no—
747C2×C22⋊C4—24no—
748C2×C22⋊C4—24no—
749C2×C22⋊C4—24no—
750C2×C22⋊C4—24no—
751C2×C22⋊C4—232no—
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#4118yes—
764C2×C22⋊C4#4118yes—
765C2×C22⋊C4C2414yes—
766C2×C22⋊C4C2414yes—
767C2×C22⋊C4C2414yes—
768C2×C22⋊C4C2414yes—
769C2×C22⋊C4C2414yes—
770C2×C22⋊C4C2414yes—
771C2×C22⋊C4C2414yes—
772C2×C22⋊C4C2414yes—
773C2×C22⋊C4C2414yes—
774C2×C22⋊C4C2414yes—
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×C42—24no—
806C2×C42—24no—
807C2×C42—24no—
808C2×C42—24no—
809C2×C42—24no—
810C2×C42—24no—
811C2×C42—24no—
812C2×C42—24no—
813C2×C42—24no—
814C2×C42—24no—
815C2×C42—24no—
816C2×C42—24no—
817C2×C42—24no—
818C2×C42—232no—
819C2×C42—24no—
820C2×C42—24no—
821C2×C42—24no—
822C2×C42—24no—
823C2×C42—24no—
824C2×C42—24no—
825C2×C42—416no—
826C2×C42—42no—
827C2×C42—42no—
828C2×C42—42no—
829C2×C42—42no—
830C2×C42C2414yes—
831C2×C42C2414yes—
832C2×C42C2414yes—
833C2×C42C2414yes—
834C2×C42C2414yes—
835C2×C42C2414yes—
836C2×C42C2414yes—
837C2×C42C2414yes—
838C2×C42C2414yes—
839C2×C42C2414yes—
840C2×C42C2414yes—
841C2×C42C2414yes—
842C2×C42C2414yes—
843C2×C42C2414yes—
844C2×C42C2414yes—
845C2×C42C2414yes—
846C2×C42C2414yes—
847C2×C42C2414yes—
848C2×C42C2414yes—
849C2×C42C2414yes—
850C2×C42C2414yes—
851C2×C42C2414yes—
852C2×C42C2414yes—
853#95C2414yes—
854#95C2414yes—
855#95C2414yes—
856#95C2414yes—
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—232no—
906C24—28no—
907C24—28no—
908C24—22no—
909C24—22no—
910C24—22no—
911C24—22no—
912C24—22no—
913C24—28no—
914C24—22no—
915C24—22no—
916C24—22no—
917C24—22no—
918C24—22no—
919C24—22no—
920C24—22no—
921C24—22no—
922C24—22no—
923C24—22no—
924C24—22no—
925C24—28no—
926C24—28no—
927C24—22no—
928C24—22no—
929C24—22no—
930C24—44no—
931C24—44no—
932C24—416no—
933C24—416no—
934C24—416no—
935C24—416no—
936C24—416no—
937C24—416no—
938C24C2×#4114yes—
939C24C2×#4114yes—
940C24C2×#4114yes—
941C24C2×#4114yes—
942C24C2×#4114yes—
943C24C2512yes—
944C24C2512yes—
945C24C2512yes—
946C24C2512yes—
947C24C2511yescharacteristic
948C2×Q8—28no—
949C2×Q8—28no—
950C2×Q8—44no—
951C2×Q8—416no—
952C2×D4—28no—
953C2×D4—28no—
954C2×D4—28no—
955C2×D4—28no—
956C2×D4—28no—
957C2×D4—28no—
958C2×D4—28no—
959C2×D4—44no—
960C2×D4—44no—
961C2×D4—416no—
962C2×D4—416no—
963C2×D4—416no—
964C22×C4—232no—
965C22×C4—28no—
966C22×C4—22no—
967C22×C4—22no—
968C22×C4—22no—
969C22×C4—22no—
970C22×C4—22no—
971C22×C4—22no—
972C22×C4—22no—
973C22×C4—22no—
974C22×C4—28no—
975C22×C4—22no—
976C22×C4—22no—
977C22×C4—22no—
978C22×C4—22no—
979C22×C4—22no—
980C22×C4—22no—
981C22×C4—22no—
982C22×C4—22no—
983C22×C4—232no—
984C22×C4—232no—
985C22×C4—28no—
986C22×C4—28no—
987C22×C4—28no—
988C22×C4—28no—
989C22×C4—28no—
990C22×C4—22no—
991C22×C4—22no—
992C22×C4—22no—
993C22×C4—22no—
994C22×C4—22no—
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—28no—
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—28no—
1025C22×C4—28no—
1026C22×C4—28no—
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—22no—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—28no—
1049C22×C4—28no—
1050C22×C4—28no—
1051C22×C4—28no—
1052C22×C4—28no—
1053C22×C4—28no—
1054C22×C4—28no—
1055C22×C4—28no—
1056C22×C4—28no—
1057C22×C4—28no—
1058C22×C4—28no—
1059C22×C4—28no—
1060C22×C4—44no—
1061C22×C4—44no—
1062C22×C4—44no—
1063C22×C4—44no—
1064C22×C4—44no—
1065C22×C4—44no—
1066C22×C4—44no—
1067C22×C4—416no—
1068C22×C4—4128no—
1069C22×C4—416no—
1070C22×C4—416no—
1071C22×C4—416no—
1072C22×C4—416no—
1073C22×C4—416no—
1074C22×C4—416no—
1075C22×C4—416no—
1076C22×C4C2×#4114yes—
1077C22×C4C2×#4114yes—
1078C22×C4C2×#4114yes—
1079C22×C4C2×#41116yes—
1080C22×C4C2×#4114yes—
1081C22×C4C2×#4114yes—
1082C22×C4C2×#4114yes—
1083C22×C4C2×#4114yes—
1084C22×C4C2×#41116yes—
1085C22×C4C2×#4114yes—
1086C22×C4C2×#41116yes—
1087C22×C4C2×#4114yes—
1088C22×C4C2×#4114yes—
1089C22×C4H(5,𝔽2)14yes—
1090C22×C4C2512yes—
1091C22×C4C2512yes—
1092C22×C4C2512yes—
1093C22×C4C2512yes—
1094C22×C4C2512yes—
1095C22×C4C2512yes—
1096C22×C4C2512yes—
1097C22×C4C2512yes—
1098C22×C4C2512yes—
1099C22×C4C2512yes—
1100C22×C4C2512yes—
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—
1117C4⋊C4—28no—
1118C4⋊C4—28no—
1119C4⋊C4—28no—
1120C4⋊C4—28no—
1121C4⋊C4—28no—
1122C4⋊C4—28no—
1123C4⋊C4—28no—
1124C4⋊C4—28no—
1125C4⋊C4—28no—
1126C4⋊C4—28no—
1127C4⋊C4—28no—
1128C4⋊C4—28no—
1129C4⋊C4—28no—
1130C4⋊C4—28no—
1131C4⋊C4—28no—
1132C4⋊C4—28no—
1133C4⋊C4—44no—
1134C4⋊C4—44no—
1135C4⋊C4—44no—
1136C4⋊C4—44no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—44no—
1140C4⋊C4—44no—
1141C4⋊C4—44no—
1142C4⋊C4—44no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C22⋊C4—28no—
1146C22⋊C4—28no—
1147C22⋊C4—28no—
1148C22⋊C4—28no—
1149C22⋊C4—28no—
1150C22⋊C4—28no—
1151C22⋊C4—28no—
1152C22⋊C4—28no—
1153C22⋊C4—28no—
1154C22⋊C4—28no—
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—44no—
1173C22⋊C4—44no—
1174C22⋊C4—44no—
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⋊C4C2×#41116yes—
1184C22⋊C4C2×#41116yes—
1185C42—28no—
1186C42—28no—
1187C42—28no—
1188C42—28no—
1189C42—28no—
1190C42—28no—
1191C42—28no—
1192C42—28no—
1193C42—28no—
1194C42—28no—
1195C42—28no—
1196C42—28no—
1197C42—28no—
1198C42—28no—
1199C42—28no—
1200C42—28no—
1201C42—28no—
1202C42—28no—
1203C42—28no—
1204C42—44no—
1205C42—44no—
1206C42—44no—
1207C42—44no—
1208C23—22no—
1209C23—22no—
1210C23—22no—
1211C23—22no—
1212C23—28no—
1213C23—28no—
1214C23—28no—
1215C23—28no—
1216C23—28no—
1217C23—28no—
1218C23—232no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—28no—
1232C23—28no—
1233C23—28no—
1234C23—28no—
1235C23—28no—
1236C23—28no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—416no—
1245C23—416no—
1246C23—416no—
1247C23—416no—
1248C23—416no—
1249C23—4128no—
1250C23—416no—
1251C23—44no—
1252C23—44no—
1253C23—44no—
1254C23—44no—
1255C23—44no—
1256C23—44no—
1257C23—44no—
1258C23—44no—
1259C23—44no—
1260C23—44no—
1261C23—44no—
1262C23—44no—
1263C23—44no—
1264C23—44no—
1265C23—44no—
1266C23#529116yes—
1267C23C22×#4114yes—
1268C23C22×#4114yes—
1269C23C22×#4114yes—
1270C23C22×#4114yes—
1271C23C22×#4114yes—
1272C23C22×#4112yes—
1273C23C22×#4112yes—
1274C23C22×#4112yes—
1275C23C22×#4112yes—
1276C23C22×#4112yes—
1277C23C2×H(5,𝔽2)12yes—
1278C23#58512yes—
1279C23C2611yescharacteristic
1280Q8—416no—
1281D4—416no—
1282D4—416no—
1283D4—416no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—232no—
1301C2×C4—28no—
1302C2×C4—28no—
1303C2×C4—28no—
1304C2×C4—28no—
1305C2×C4—28no—
1306C2×C4—28no—
1307C2×C4—28no—
1308C2×C4—28no—
1309C2×C4—232no—
1310C2×C4—232no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
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—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
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—416no—
1366C2×C4—416no—
1367C2×C4—416no—
1368C2×C4—416no—
1369C2×C4—416no—
1370C2×C4—416no—
1371C2×C4—44no—
1372C2×C4—44no—
1373C2×C4—44no—
1374C2×C4—44no—
1375C2×C4—44no—
1376C2×C4—44no—
1377C2×C4—44no—
1378C2×C4—44no—
1379C2×C4—44no—
1380C2×C4—44no—
1381C2×C4—44no—
1382C2×C4—44no—
1383C2×C4—44no—
1384C2×C4—44no—
1385C2×C4—44no—
1386C2×C4—44no—
1387C2×C4—44no—
1388C2×C4—44no—
1389C2×C4—416no—
1390C2×C4—416no—
1391C2×C4#551116yes—
1392C2×C4C22×#4114yes—
1393C2×C4C22×#4114yes—
1394C2×C4C22×#4114yes—
1395C2×C4C22×#4114yes—
1396C2×C4C22×#4114yes—
1397C2×C4C22×#4114yes—
1398C2×C4C22×#4114yes—
1399C2×C4C22×#4114yes—
1400C2×C4C22×#4114yes—
1401C2×C4C22×#4114yes—
1402C2×C4C2×H(5,𝔽2)14yes—
1403C22—24no—
1404C22—24no—
1405C22—24no—
1406C22—24no—
1407C22—24no—
1408C22—232no—
1409C22—24no—
1410C22—24no—
1411C22—24no—
1412C22—24no—
1413C22—24no—
1414C22—24no—
1415C22—24no—
1416C22—464no—
1417C22—42no—
1418C22—42no—
1419C22—42no—
1420C22—42no—
1421C22—42no—
1422C22—42no—
1423C22—42no—
1424C22—416no—
1425C22—416no—
1426C22—42no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—42no—
1431C22—42no—
1432C22—42no—
1433C22—42no—
1434C22—88no—
1435C22C2×#52918yes—
1436C22C2×#52914yes—
1437C22#344414yes—
1438C22#346014yes—
1439C22C2×#55114yes—
1440C22#347514yes—
1441C22#347514yes—
1442C22#348114yes—
1443C22C23×#4111yescharacteristic
1444C22C23×#4111yescharacteristic
1445C22C23×#4111yescharacteristic
1446C22C23×#4111yescharacteristic
1447C22C23×#4111yescharacteristic
1448C22C22×H(5,𝔽2)11yescharacteristic
1449C22C2×#58511yescharacteristic
1450C4—24no—
1451C4—24no—
1452C4—24no—
1453C4—24no—
1454C4—24no—
1455C4—24no—
1456C4—24no—
1457C4—24no—
1458C4—42no—
1459C4—42no—
1460C4—42no—
1461C4—42no—
1462C4—42no—
1463C4—42no—
1464C4—42no—
1465C4—42no—
1466C4—42no—
1467C4—42no—
1468C4—42no—
1469C4—42no—
1470C4—42no—
1471C4—42no—
1472C4—42no—
1473C4—42no—
1474C4—42no—
1475C4—42no—
1476C4C2×#55118yes—
1477C2—28no—
1478C2—44no—
1479C2—44no—
1480C2—82no—
1481C2#3480618yesdirect product factor
1482C2C22×#52911yescharacteristic
1483C2C2×#344411yescharacteristic
1484C2C2×#346011yescharacteristic
1485C2C22×#55111yescharacteristic
1486C2C2×#347511yescharacteristic
1487C2C2×#347511yescharacteristic
1488C2C2×#348111yescharacteristic
subgroupG/H
centerC23×C4C24
commutator, Frattini, cosocleC23C26
socleC24C25
prime radicalC22×#120C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C4 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #34806C2direct (N × H)
2. C2×#2498C2semidirect
3. C2×#2482C2semidirect
4. C2×#2527C2semidirect
5. C2×#2526C2semidirect
6. C2×#2531C2semidirect
7. C2×#2530C2semidirect
8. C2×#2516C2semidirect
9. C2×#2515C2semidirect
10. C2×#2522C2semidirect
11. C2×#2521C2semidirect
12. C2×#2510C2semidirect
13. C2×#2505C2semidirect
14. C2×#2438C2semidirect
16. C2×#2480C2semidirect
18. C2×#2401C2semidirect
19. C2×#2396C2semidirect
20. C2×#2395C2semidirect
21. C2×#2395C2semidirect
22. C2×C4×#126C2semidirect
23. C2×C4×#124C2semidirect
24. C2×C4×C22⋊Q8C2semidirect
25. C2×C4×#123C2semidirect
27. C2×#2298C2semidirect
28. C2×#2293C2semidirect
29. C2×#2290C2semidirect
30. C2×#2280C2semidirect
31. C2×C4×#117C2semidirect
32. C22×C4×C22⋊C4C2semidirect
39. C22×C4×Q8C22semidirect
47. C22×#117C22semidirect
52. #2531C22semidirect
53. #2530C22semidirect
54. #2527C22semidirect
55. #2526C22semidirect
56. #2522C22semidirect
57. #2521C22semidirect
58. #2516C22semidirect
59. #2515C22semidirect
60. #2510C22semidirect
61. #2505C22semidirect
62. #2498C22semidirect
63. #2482C22semidirect
64. #2480C22semidirect
66. #2438C22semidirect
68. #2401C22semidirect
69. C2×#401C22semidirect
70. #2396C22semidirect
71. #2395C22semidirect
72. #2395C22semidirect
73. C2×#400C22semidirect
74. C2×#400C22semidirect
75. C2×#400C22semidirect
76. C2×#400C22semidirect
77. C2×#400C22semidirect
78. C2×#400C22semidirect
81. C2×#399C22semidirect
82. C2×#398C22semidirect
83. C2×#398C22semidirect
84. C2×#398C22semidirect
85. C2×#398C22semidirect
92. C2×#397C22semidirect
93. C2×#397C22semidirect
94. C2×#397C22semidirect
98. C2×#395C22semidirect
104. C4×#126C22semidirect
105. C4×#124C22semidirect
106. C4×C22⋊Q8C22semidirect
107. C4×#123C22semidirect
109. #2298C22semidirect
110. C2×#391C22semidirect
111. C2×#391C22semidirect
112. #2293C22semidirect
116. C2×#389C22semidirect
117. C2×#389C22semidirect
118. C2×#389C22semidirect
119. #2290C22semidirect
131. C2×#388C22semidirect
132. C2×#388C22semidirect
133. C2×#388C22semidirect
134. C2×#388C22semidirect
135. C2×#388C22semidirect
136. C2×#388C22semidirect
137. C2×#388C22semidirect
138. C2×#388C22semidirect
139. C2×#387C22semidirect
140. C2×#387C22semidirect
141. C2×#387C22semidirect
142. C2×#387C22semidirect
143. C2×#387C22semidirect
144. C2×#387C22semidirect
145. C2×#387C22semidirect
146. C2×#387C22semidirect
147. C2×#387C22semidirect
148. C2×#387C22semidirect
149. C2×#387C22semidirect
150. C2×#387C22semidirect
151. C2×#387C22semidirect
166. C2×#383C22semidirect
167. C2×#382C22semidirect
168. #2280C22semidirect
180. C4×#117C22semidirect
181. C2×C4×C4⋊C4C22semidirect
182. C2×C4×C4⋊C4C22semidirect
183. C2×C4×C4⋊C4C22semidirect
184. C2×C4×C4⋊C4C22semidirect
185. C2×C4×C4⋊C4C22semidirect
186. C2×C4×C4⋊C4C22semidirect
187. C2×C4×C4⋊C4C22semidirect
188. C2×C4×C4⋊C4C22semidirect
189. C2×C4×C4⋊C4C22semidirect
190. C2×C4×C4⋊C4C22semidirect
208. C2×C4×C22⋊C4C22semidirect
209. C2×C4×C22⋊C4C22semidirect
210. C2×C4×C22⋊C4C22semidirect
211. C2×C4×C22⋊C4C22semidirect
212. C2×#376C22semidirect
213. C2×#376C22semidirect
214. C2×#376C22semidirect
217. C2×C43C22semidirect
218. C2×C43C22semidirect
250. C2×C4×Q8C23semidirect
266. C2×#117C23semidirect
366. #401C23semidirect
367. #400C23semidirect
368. #400C23semidirect
369. #400C23semidirect
370. #400C23semidirect
371. #400C23semidirect
372. #400C23semidirect
375. #399C23semidirect
376. #398C23semidirect
377. #398C23semidirect
378. #398C23semidirect
379. #398C23semidirect
386. #397C23semidirect
387. #397C23semidirect
388. #397C23semidirect
392. #395C23semidirect
398. #391C23semidirect
399. #391C23semidirect
403. #389C23semidirect
404. #389C23semidirect
405. #389C23semidirect
417. #388C23semidirect
418. #388C23semidirect
419. #388C23semidirect
420. #388C23semidirect
421. #388C23semidirect
422. #388C23semidirect
423. #388C23semidirect
424. #388C23semidirect
425. #387C23semidirect
426. #387C23semidirect
427. #387C23semidirect
428. #387C23semidirect
429. #387C23semidirect
430. #387C23semidirect
431. #387C23semidirect
432. #387C23semidirect
433. #387C23semidirect
434. #387C23semidirect
435. #387C23semidirect
436. #387C23semidirect
437. #387C23semidirect
452. #383C23semidirect
453. #382C23semidirect
465. C4×C4⋊C4C23semidirect
466. C4×C4⋊C4C23semidirect
467. C4×C4⋊C4C23semidirect
468. C4×C4⋊C4C23semidirect
469. C4×C4⋊C4C23semidirect
470. C4×C4⋊C4C23semidirect
471. C4×C4⋊C4C23semidirect
472. C4×C4⋊C4C23semidirect
473. C4×C4⋊C4C23semidirect
474. C4×C4⋊C4C23semidirect
492. C4×C22⋊C4C23semidirect
493. C4×C22⋊C4C23semidirect
494. C4×C22⋊C4C23semidirect
495. #376C23semidirect
496. #376C23semidirect
497. #376C23semidirect
548. C43C23semidirect
549. C43C23semidirect
1481. C2#34806direct (N × H)

Maximal subgroups

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

subgroupindex
#348062
C2×#24982
C2×#24822
C2×#25272
C2×#25262
C2×#25312
C2×#25302
C2×#25162
C2×#25152
C2×#25222
C2×#25212
C2×#25102
C2×#25052
C2×#24382
C2×#24112
C2×#24802
C2×#24722
C2×#24012
C2×#23962
C2×#23952
C2×C4×#1262
C2×C4×#1242
C2×C4×C22⋊Q82
C2×C4×#1232
C2×C4×#1202
C2×#22982
C2×#22932
C2×#22902
C2×#22802
C2×C4×#1172
C22×C4×C22⋊C42