Finite Group Databasebeta

← C2×#35879 #7629348

Subgroups — C2×#35879 #7629348

Order 512.

6632 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35879C2132yesmaximal, direct product factor
2C2×#2578C211yesmaximal, characteristic, complemented
3C2×#2578C211yesmaximal, characteristic, complemented
4C2×#2577C211yesmaximal, characteristic, complemented
5C2×#2589C211yesmaximal, characteristic, complemented
6C2×#2559C211yesmaximal, characteristic, complemented
7C2×#2557C211yesmaximal, characteristic, complemented
8C2×#2531C211yesmaximal, characteristic, complemented
9C2×#2497C211yesmaximal, characteristic, complemented
10C2×#2477C211yesmaximal, characteristic, complemented
11C2×#2476C211yesmaximal, characteristic, complemented
12C2×#2423C211yesmaximal, characteristic, complemented
13C2×#2422C211yesmaximal, characteristic, complemented
14C2×#2480C211yesmaximal, characteristic, complemented
15C2×#2472C211yesmaximal, characteristic, complemented
16C2×#2424C211yesmaximal, characteristic
17C2×#2418C211yesmaximal, characteristic, complemented
18C2×#2418C211yesmaximal, characteristic, complemented
19C2×#2418C211yesmaximal, characteristic, complemented
20C2×#2649C211yesmaximal, characteristic, complemented
21C2×#2649C211yesmaximal, characteristic, complemented
22C2×#2652C211yesmaximal, characteristic, complemented
23C2×#2398C211yesmaximal, characteristic, complemented
24C2×#2395C211yesmaximal, characteristic, complemented
25C2×#2392C211yesmaximal, characteristic, complemented
26C2×#2374C211yesmaximal, characteristic, complemented
27C2×#2373C211yesmaximal, characteristic, complemented
28C2×#2367C211yesmaximal, characteristic, complemented
29C2×#2364C211yesmaximal, characteristic, complemented
30C2×#2359C211yesmaximal, characteristic, complemented
31C2×#2359C211yesmaximal, characteristic, complemented
32C2×#2273C211yesmaximal, characteristic, complemented
33C22×#126C2211yescharacteristic
34C22×#124C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C22×#123C2211yescharacteristic
37C22×#123C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×#120C2211yescharacteristic
42C22×#120C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic, complemented
44C22×C4×D4C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic, complemented
49C22×#117C2211yescharacteristic, complemented
50C22×#117C2211yescharacteristic, complemented
51C23×C22⋊C4C2211yescharacteristic
52C23×C22⋊C4C2211yescharacteristic
53C23×C22⋊C4C2211yescharacteristic
54#2652C22116yescomplemented
55#2649C22116yescomplemented
56#2649C22116yescomplemented
57#2589C22116yescomplemented
58#2578C22116yescomplemented
59#2578C22116yescomplemented
60#2577C22116yescomplemented
61#2559C22116yescomplemented
62#2557C22116yescomplemented
63#2531C22116yescomplemented
64#2497C22116yescomplemented
65#2480C22116yescomplemented
66#2477C22116yescomplemented
67#2476C22116yescomplemented
68#2472C22116yescomplemented
69#2424C22116yes—
70#2423C22116yescomplemented
71#2422C22116yescomplemented
72#2418C22116yescomplemented
73#2418C22116yescomplemented
74#2418C22116yescomplemented
75#2398C22116yescomplemented
76#2395C22116yescomplemented
77C2×#400C2211yescharacteristic, complemented
78C2×#400C2211yescharacteristic, complemented
79C2×#400C2211yescharacteristic, complemented
80C2×#400C2211yescharacteristic, complemented
81C2×#400C2211yescharacteristic, complemented
82C2×#400C2211yescharacteristic, complemented
83C2×#399C2211yescharacteristic
84C2×#399C2211yescharacteristic
85C2×#399C2211yescharacteristic
86#2392C22116yescomplemented
87C2×#398C2211yescharacteristic, complemented
88C2×#398C2211yescharacteristic, complemented
89C2×#398C2211yescharacteristic, complemented
90C2×#397C2211yescharacteristic
91C2×#397C2211yescharacteristic
92C2×#397C2211yescharacteristic
93C2×#397C2211yescharacteristic
94C2×#397C2211yescharacteristic
95C2×#397C2211yescharacteristic
96C2×#397C2211yescharacteristic
97C2×#397C2211yescharacteristic, complemented
98C2×#397C2211yescharacteristic, complemented
99C2×#397C2211yescharacteristic, complemented
100C2×#397C2211yescharacteristic, complemented
101C2×#396C2211yescharacteristic
102C2×#396C2211yescharacteristic
103C2×#396C2211yescharacteristic, complemented
104C2×#394C2211yescharacteristic
105C2×#394C2211yescharacteristic
106C2×#394C2211yescharacteristic
107C2×#394C2211yescharacteristic
108C2×#394C2211yescharacteristic
109C2×#394C2211yescharacteristic
110C2×#394C2211yescharacteristic
111C2×#394C2211yescharacteristic
112C2×#394C2211yescharacteristic
113C2×#394C2211yescharacteristic
114C2×#394C2211yescharacteristic, complemented
115C2×#393C2211yescharacteristic
116C2×#393C2211yescharacteristic, complemented
117C2×#392C2211yescharacteristic
118#2374C22116yescomplemented
119#2373C22116yescomplemented
120#2367C22116yescomplemented
121#2364C22116yescomplemented
122#2359C22116yescomplemented
123#2359C22116yescomplemented
124C2×#391C2211yescharacteristic, complemented
125C2×#391C2211yescharacteristic, complemented
126C2×#390C2211yescharacteristic
127C2×#390C2211yescharacteristic
128C2×#390C2211yescharacteristic, complemented
129C2×#389C2211yescharacteristic, complemented
130C2×#389C2211yescharacteristic, complemented
131C2×#389C2211yescharacteristic, complemented
132C2×#389C2211yescharacteristic, complemented
133C2×#388C2211yescharacteristic
134C2×#388C2211yescharacteristic
135C2×#388C2211yescharacteristic
136C2×#388C2211yescharacteristic
137C2×#388C2211yescharacteristic
138C2×#388C2211yescharacteristic
139C2×#388C2211yescharacteristic
140C2×#388C2211yescharacteristic
141C2×#388C2211yescharacteristic
142C2×#388C2211yescharacteristic
143C2×#388C2211yescharacteristic
144C2×#388C2211yescharacteristic
145C2×#388C2211yescharacteristic, complemented
146C2×#388C2211yescharacteristic, complemented
147C2×#388C2211yescharacteristic, complemented
148C2×#388C2211yescharacteristic, complemented
149C2×#388C2211yescharacteristic, complemented
150C2×#388C2211yescharacteristic, complemented
151C2×#388C2211yescharacteristic, complemented
152C2×#387C2211yescharacteristic, complemented
153C2×#387C2211yescharacteristic, complemented
154C2×#387C2211yescharacteristic, complemented
155C2×#387C2211yescharacteristic, complemented
156C2×#387C2211yescharacteristic, complemented
157C2×#387C2211yescharacteristic, complemented
158C2×#387C2211yescharacteristic, complemented
159C2×#387C2211yescharacteristic, complemented
160C2×#387C2211yescharacteristic, complemented
161C2×#387C2211yescharacteristic, complemented
162C2×#387C2211yescharacteristic, complemented
163C2×#387C2211yescharacteristic, complemented
164C2×#386C2211yescharacteristic
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic, complemented
175C2×#385C2211yescharacteristic
176C2×#385C2211yescharacteristic
177C2×#385C2211yescharacteristic
178C2×#385C2211yescharacteristic
179C2×#385C2211yescharacteristic
180C2×#385C2211yescharacteristic
181C2×#385C2211yescharacteristic, complemented
182C2×#385C2211yescharacteristic, complemented
183C2×#385C2211yescharacteristic, complemented
184C2×#384C2211yescharacteristic, complemented
185C2×#383C2211yescharacteristic, complemented
186C2×#380C2211yescharacteristic
187C2×#380C2211yescharacteristic
188C2×#380C2211yescharacteristic
189C2×#380C2211yescharacteristic
190C2×#379C2211yescharacteristic
191C2×#379C2211yescharacteristic
192#2273C22116yescomplemented
193C2×C4×C4⋊C4C2211yescharacteristic, complemented
194C2×C4×C4⋊C4C2211yescharacteristic, complemented
195C2×C4×C4⋊C4C2211yescharacteristic, complemented
196C2×C4×C4⋊C4C2211yescharacteristic, complemented
197C2×C4×C4⋊C4C2211yescharacteristic, complemented
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⋊C4C2211yescharacteristic
209C2×C4×C22⋊C4C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
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×#376C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C24×C4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C2×#126—28no—
239C2×#126C2318yes—
240C2×#124—28no—
241C2×#124C2318yes—
242C2×#123—28no—
243C2×#123—28no—
244C2×#123—28no—
245C2×#123C2318yes—
246C2×#123C2318yes—
247C2×#123C2318yes—
248C2×C22⋊Q8—44no—
249C2×C22⋊Q8C2318yes—
250C2×#121—28no—
251C2×#121—44no—
252C2×#121C2318yes—
253C2×#121C2318yes—
254C2×#120—44no—
255C2×#120—44no—
256C2×#120C2318yes—
257C2×#120C2318yes—
258C2×C4×Q8—44no—
259C2×C4×Q8C2318yescomplemented
260C2×C4×D4—44no—
261C2×C4×D4—44no—
262C2×C4×D4—44no—
263C2×C4×D4—44no—
264C2×C4×D4—44no—
265C2×C4×D4C2318yes—
266C2×C4×D4C2318yes—
267C2×C4×D4C2318yes—
268C2×C4×D4C2318yes—
269C2×C4×D4C2318yescomplemented
270C2×#117—44no—
271C2×#117—44no—
272C2×#117C2318yescomplemented
273C2×#117C2318yescomplemented
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×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C22⋊C4—28no—
303C22×C22⋊C4—28no—
304C22×C22⋊C4—28no—
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⋊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⋊C4C2318yes—
328C22×C22⋊C4C2318yes—
329C22×C22⋊C4C2318yes—
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×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358C22×C42C2311yescharacteristic
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372#400C2318yescomplemented
373#400C2318yescomplemented
374#400C2318yescomplemented
375#400C2318yescomplemented
376#400C2318yescomplemented
377#400C2318yescomplemented
378#399C2318yes—
379#399C2318yes—
380#399C2318yes—
381#398C2318yescomplemented
382#398C2318yescomplemented
383#398C2318yescomplemented
384#397C2318yes—
385#397C2318yes—
386#397C2318yes—
387#397C2318yes—
388#397C2318yes—
389#397C2318yes—
390#397C2318yes—
391#397C2318yescomplemented
392#397C2318yescomplemented
393#397C2318yescomplemented
394#397C2318yescomplemented
395#396C2318yes—
396#396C2318yes—
397#396C2318yescomplemented
398#394C2318yes—
399#394C2318yes—
400#394C2318yes—
401#394C2318yes—
402#394C2318yes—
403#394C2318yes—
404#394C2318yes—
405#394C2318yes—
406#394C2318yes—
407#394C2318yes—
408#394C2318yescomplemented
409#393C2318yes—
410#393C2318yescomplemented
411#392C2318yes—
412#391C2318yescomplemented
413#391C2318yescomplemented
414#390C2318yes—
415#390C2318yes—
416#390C2318yescomplemented
417#389C2318yescomplemented
418#389C2318yescomplemented
419#389C2318yescomplemented
420#389C2318yescomplemented
421#388C2318yes—
422#388C2318yes—
423#388C2318yes—
424#388C2318yes—
425#388C2318yes—
426#388C2318yes—
427#388C2318yes—
428#388C2318yes—
429#388C2318yes—
430#388C2318yes—
431#388C2318yes—
432#388C2318yes—
433#388C2318yescomplemented
434#388C2318yescomplemented
435#388C2318yescomplemented
436#388C2318yescomplemented
437#388C2318yescomplemented
438#388C2318yescomplemented
439#388C2318yescomplemented
440#387C2318yescomplemented
441#387C2318yescomplemented
442#387C2318yescomplemented
443#387C2318yescomplemented
444#387C2318yescomplemented
445#387C2318yescomplemented
446#387C2318yescomplemented
447#387C2318yescomplemented
448#387C2318yescomplemented
449#387C2318yescomplemented
450#387C2318yescomplemented
451#387C2318yescomplemented
452#386C2318yes—
453#386C2318yes—
454#386C2318yes—
455#386C2318yes—
456#386C2318yes—
457#386C2318yes—
458#386C2318yes—
459#386C2318yes—
460#386C2318yes—
461#386C2318yes—
462#386C2318yescomplemented
463#385C2318yes—
464#385C2318yes—
465#385C2318yes—
466#385C2318yes—
467#385C2318yes—
468#385C2318yes—
469#385C2318yescomplemented
470#385C2318yescomplemented
471#385C2318yescomplemented
472#384C2318yescomplemented
473#383C2318yescomplemented
474#380C2318yes—
475#380C2318yes—
476#380C2318yes—
477#380C2318yes—
478#379C2318yes—
479#379C2318yes—
480C4×C4⋊C4C2318yescomplemented
481C4×C4⋊C4C2318yescomplemented
482C4×C4⋊C4C2318yescomplemented
483C4×C4⋊C4C2318yescomplemented
484C4×C4⋊C4C2318yescomplemented
485C4×C22⋊C4C2318yes—
486C4×C22⋊C4C2318yes—
487C4×C22⋊C4C2318yes—
488C4×C22⋊C4C2318yes—
489C4×C22⋊C4C2318yes—
490C4×C22⋊C4C2318yes—
491C4×C22⋊C4C2318yes—
492C4×C22⋊C4C2318yes—
493C4×C22⋊C4C2318yes—
494C4×C22⋊C4C2318yes—
495C4×C22⋊C4C2318yes—
496C4×C22⋊C4C2318yes—
497C4×C22⋊C4C2318yes—
498C4×C22⋊C4C2318yes—
499C4×C22⋊C4C2318yescomplemented
500C4×C22⋊C4C2318yescomplemented
501C4×C22⋊C4C2318yescomplemented
502C4×C22⋊C4C2318yescomplemented
503C4×C22⋊C4C2318yescomplemented
504#376C2318yescomplemented
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
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2318yescomplemented
550C25—24no—
551C25—24no—
552C25—24no—
553C25—42no—
554C25—42no—
555C25—42no—
556C25—42no—
557C25C2411yescharacteristic
558C25C2411yescharacteristic
559C25C2411yescharacteristic
560C25C2411yescharacteristic
561C25C2411yescharacteristic
562C25C2414yes—
563C22×Q8—24no—
564C22×Q8—24no—
565C22×Q8—42no—
566C22×Q8C2414yes—
567C22×D4—24no—
568C22×D4—24no—
569C22×D4—24no—
570C22×D4—24no—
571C22×D4—24no—
572C22×D4—24no—
573C22×D4—24no—
574C22×D4—24no—
575C22×D4—24no—
576C22×D4—24no—
577C22×D4—24no—
578C22×D4—24no—
579C22×D4—42no—
580C22×D4—42no—
581C22×D4—42no—
582C22×D4—42no—
583C22×D4—42no—
584C22×D4—42no—
585C22×D4—42no—
586C22×D4—42no—
587C22×D4—42no—
588C22×D4C2414yes—
589C22×D4C2414yes—
590C22×D4C2414yes—
591C22×D4C2414yes—
592C22×D4C2414yes—
593C22×D4C2414yes—
594C22×D4C2414yes—
595C23×C4—24no—
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—24no—
605C23×C4—24no—
606C23×C4—24no—
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×C4—42no—
618C23×C4—42no—
619C23×C4—42no—
620C23×C4—42no—
621C23×C4—42no—
622C23×C4—42no—
623C23×C4—42no—
624C23×C4—42no—
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×C4C2411yescharacteristic
640C23×C4C2411yescharacteristic
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2414yes—
645C23×C4C2414yes—
646C23×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2414yes—
654C23×C4C2414yes—
655C23×C4C2414yes—
656C23×C4C2414yes—
657C23×C4C2414yes—
658C23×C4C2414yes—
659C23×C4C2414yes—
660C23×C4C2414yes—
661#126—232no—
662#124—232no—
663#123—232no—
664#123—232no—
665#123—232no—
666C22⋊Q8—416no—
667#121—232no—
668#121—416no—
669#120—416no—
670#120—416no—
671C4×Q8—416no—
672C4×D4—416no—
673C4×D4—416no—
674C4×D4—416no—
675C4×D4—416no—
676C4×D4—416no—
677#117—416no—
678#117—416no—
679C2×C4⋊C4—24no—
680C2×C4⋊C4—24no—
681C2×C4⋊C4—24no—
682C2×C4⋊C4—24no—
683C2×C4⋊C4—24no—
684C2×C4⋊C4—24no—
685C2×C4⋊C4—24no—
686C2×C4⋊C4—24no—
687C2×C4⋊C4—24no—
688C2×C4⋊C4—24no—
689C2×C4⋊C4—24no—
690C2×C4⋊C4—24no—
691C2×C4⋊C4—42no—
692C2×C4⋊C4—42no—
693C2×C4⋊C4—42no—
694C2×C4⋊C4—42no—
695C2×C4⋊C4—42no—
696C2×C4⋊C4—42no—
697C2×C4⋊C4—42no—
698C2×C4⋊C4—42no—
699C2×C4⋊C4—42no—
700C2×C4⋊C4—42no—
701C2×C4⋊C4—42no—
702C2×C4⋊C4—42no—
703C2×C4⋊C4—42no—
704C2×C4⋊C4—42no—
705C2×C4⋊C4—42no—
706C2×C4⋊C4—42no—
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×C4⋊C4C2414yes—
724C2×C4⋊C4C2414yes—
725C2×C4⋊C4C2414yes—
726C2×C4⋊C4C2414yes—
727C2×C4⋊C4C2414yes—
728C2×C4⋊C4C2414yes—
729C2×C4⋊C4C2414yes—
730C2×C4⋊C4C2414yes—
731C2×C4⋊C4C2414yes—
732C2×C4⋊C4C2414yes—
733C2×C4⋊C4C2414yes—
734C2×C4⋊C4C2414yes—
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—24no—
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—24no—
752C2×C22⋊C4—24no—
753C2×C22⋊C4—24no—
754C2×C22⋊C4—24no—
755C2×C22⋊C4—24no—
756C2×C22⋊C4—24no—
757C2×C22⋊C4—24no—
758C2×C22⋊C4—24no—
759C2×C22⋊C4—24no—
760C2×C22⋊C4—24no—
761C2×C22⋊C4—24no—
762C2×C22⋊C4—232no—
763C2×C22⋊C4—232no—
764C2×C22⋊C4—232no—
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—42no—
775C2×C22⋊C4—42no—
776C2×C22⋊C4—42no—
777C2×C22⋊C4—42no—
778C2×C22⋊C4—42no—
779C2×C22⋊C4—42no—
780C2×C22⋊C4—42no—
781C2×C22⋊C4—42no—
782C2×C22⋊C4—42no—
783C2×C22⋊C4#4118yes—
784C2×C22⋊C4#4118yes—
785C2×C22⋊C4#4118yes—
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×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C42—24no—
835C2×C42—24no—
836C2×C42—24no—
837C2×C42—24no—
838C2×C42—42no—
839C2×C42—42no—
840C2×C42—42no—
841C2×C42—42no—
842C2×C42—42no—
843C2×C42—42no—
844C2×C42—42no—
845C2×C42—42no—
846C2×C42—42no—
847C2×C42—42no—
848C2×C42—42no—
849C2×C42—42no—
850C2×C42C2414yes—
851C2×C42C2414yes—
852C2×C42C2414yes—
853C2×C42C2414yes—
854C2×C42C2414yes—
855C2×C42C2414yes—
856C2×C42C2414yes—
857C2×C42C2414yes—
858C2×C42C2414yes—
859C2×C42C2414yes—
860C2×C42C2414yes—
861C2×C42C2414yes—
862C2×C42C2414yes—
863C2×C42C2414yes—
864C2×C42C2414yes—
865C2×C42C2414yes—
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—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910C24—232no—
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—22no—
933C24—22no—
934C24—22no—
935C24—28no—
936C24—28no—
937C24—28no—
938C24—22no—
939C24—22no—
940C24—22no—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—44no—
946C24—44no—
947C24—44no—
948C24—44no—
949C24—88no—
950C24—88no—
951C24—88no—
952C24—88no—
953C24—88no—
954C24—88no—
955C24C2×#4114yes—
956C24C2×#4114yes—
957C24C2×#4114yes—
958C24H(5,𝔽2)14yes—
959C24C2512yes—
960C24C2512yes—
961C24C2512yes—
962C24C2512yes—
963C24C2512yes—
964C24C2511yescharacteristic
965C2×Q8—28no—
966C2×Q8—28no—
967C2×Q8—44no—
968C2×Q8—416no—
969C2×D4—28no—
970C2×D4—28no—
971C2×D4—28no—
972C2×D4—28no—
973C2×D4—28no—
974C2×D4—28no—
975C2×D4—28no—
976C2×D4—28no—
977C2×D4—28no—
978C2×D4—28no—
979C2×D4—28no—
980C2×D4—28no—
981C2×D4—44no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4—44no—
986C2×D4—416no—
987C2×D4—416no—
988C2×D4—44no—
989C2×D4—44no—
990C2×D4—44no—
991C2×D4—44no—
992C2×D4—416no—
993C2×D4—416no—
994C2×D4—416no—
995C2×D4—88no—
996C2×D4—88no—
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—22no—
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—28no—
1056C22×C4—28no—
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—28no—
1078C22×C4—28no—
1079C22×C4—28no—
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—44no—
1092C22×C4—44no—
1093C22×C4—44no—
1094C22×C4—44no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—416no—
1099C22×C4—416no—
1100C22×C4—88no—
1101C22×C4—88no—
1102C22×C4—88no—
1103C22×C4—88no—
1104C22×C4—88no—
1105C22×C4—88no—
1106C22×C4—88no—
1107C22×C4—88no—
1108C22×C4C2×#4114yes—
1109C22×C4C2×#4114yes—
1110C22×C4C2×#4114yes—
1111C22×C4C2×#4114yes—
1112C22×C4C2×#4114yes—
1113C22×C4C2×#4114yes—
1114C22×C4H(5,𝔽2)14yes—
1115C22×C4C2512yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2512yes—
1120C22×C4C2512yes—
1121C22×C4C2512yes—
1122C22×C4C2512yes—
1123C22×C4C2512yes—
1124C22×C4C2512yes—
1125C22×C4C2512yes—
1126C22×C4C2512yes—
1127C22×C4C2512yes—
1128C22×C4C2512yes—
1129C22×C4C2512yes—
1130C22×C4C2512yes—
1131C22×C4C2512yes—
1132C22×C4C2512yes—
1133C22×C4C2512yes—
1134C22×C4C2512yes—
1135C22×C4C2512yes—
1136C22×C4C2512yes—
1137C22×C4C2512yes—
1138C22×C4C2512yes—
1139C22×C4C2512yes—
1140C22×C4C2512yes—
1141C4⋊C4—28no—
1142C4⋊C4—28no—
1143C4⋊C4—28no—
1144C4⋊C4—28no—
1145C4⋊C4—28no—
1146C4⋊C4—28no—
1147C4⋊C4—28no—
1148C4⋊C4—28no—
1149C4⋊C4—28no—
1150C4⋊C4—28no—
1151C4⋊C4—28no—
1152C4⋊C4—28no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C22⋊C4—28no—
1170C22⋊C4—28no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—28no—
1174C22⋊C4—28no—
1175C22⋊C4—28no—
1176C22⋊C4—28no—
1177C22⋊C4—28no—
1178C22⋊C4—28no—
1179C22⋊C4—28no—
1180C22⋊C4—28no—
1181C22⋊C4—28no—
1182C22⋊C4—28no—
1183C22⋊C4—28no—
1184C22⋊C4—28no—
1185C22⋊C4—28no—
1186C22⋊C4—28no—
1187C22⋊C4—28no—
1188C22⋊C4—28no—
1189C22⋊C4—28no—
1190C22⋊C4—28no—
1191C22⋊C4—28no—
1192C22⋊C4—28no—
1193C22⋊C4—28no—
1194C22⋊C4—28no—
1195C22⋊C4—28no—
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⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4C2×#41116yes—
1215C22⋊C4C2×#41116yes—
1216C22⋊C4C2×#41116yes—
1217C42—28no—
1218C42—28no—
1219C42—28no—
1220C42—28no—
1221C42—44no—
1222C42—44no—
1223C42—44no—
1224C42—44no—
1225C42—44no—
1226C42—44no—
1227C42—44no—
1228C42—44no—
1229C42—44no—
1230C42—44no—
1231C42—44no—
1232C42—44no—
1233C23—232no—
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—22no—
1248C23—22no—
1249C23—22no—
1250C23—22no—
1251C23—22no—
1252C23—22no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—22no—
1258C23—28no—
1259C23—28no—
1260C23—28no—
1261C23—28no—
1262C23—28no—
1263C23—28no—
1264C23—28no—
1265C23—28no—
1266C23—28no—
1267C23—28no—
1268C23—28no—
1269C23—28no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—22no—
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—44no—
1295C23—44no—
1296C23—44no—
1297C23—44no—
1298C23—44no—
1299C23—44no—
1300C23—88no—
1301C23—88no—
1302C23—88no—
1303C23—88no—
1304C23—88no—
1305C23—88no—
1306C23—864no—
1307C23C22×#4114yes—
1308C23C22×#4114yes—
1309C23C22×#4114yes—
1310C23C22×#4112yes—
1311C23C22×#4112yes—
1312C23C22×#4112yes—
1313C23C2×H(5,𝔽2)14yes—
1314C23C2×H(5,𝔽2)12yes—
1315C23C2×H(5,𝔽2)12yes—
1316C23#58512yes—
1317C23#58512yes—
1318C23C2611yescharacteristic
1319Q8—416no—
1320D4—416no—
1321D4—416no—
1322D4—416no—
1323D4—416no—
1324D4—416no—
1325D4—88no—
1326D4—88no—
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—28no—
1342C2×C4—28no—
1343C2×C4—28no—
1344C2×C4—28no—
1345C2×C4—28no—
1346C2×C4—28no—
1347C2×C4—28no—
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—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—416no—
1406C2×C4—416no—
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—44no—
1426C2×C4—88no—
1427C2×C4—88no—
1428C2×C4—88no—
1429C2×C4—88no—
1430C2×C4—88no—
1431C2×C4—88no—
1432C2×C4—88no—
1433C2×C4—88no—
1434C2×C4C22×#4114yes—
1435C2×C4C22×#4114yes—
1436C2×C4C22×#4114yes—
1437C2×C4C22×#4114yes—
1438C2×C4C22×#4114yes—
1439C2×C4C22×#4114yes—
1440C2×C4C2×H(5,𝔽2)14yes—
1441C22—24no—
1442C22—24no—
1443C22—24no—
1444C22—24no—
1445C22—24no—
1446C22—24no—
1447C22—24no—
1448C22—24no—
1449C22—24no—
1450C22—24no—
1451C22—24no—
1452C22—24no—
1453C22—416no—
1454C22—416no—
1455C22—416no—
1456C22—416no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22—42no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—42no—
1472C22—42no—
1473C22—42no—
1474C22—42no—
1475C22—42no—
1476C22—42no—
1477C22—42no—
1478C22—42no—
1479C22—42no—
1480C22—832no—
1481C22—88no—
1482C22#344414yes—
1483C22#351314yes—
1484C22#351314yes—
1485C22#351314yes—
1486C22#351414yes—
1487C22#351914yes—
1488C22#352114yes—
1489C22C23×#4111yescharacteristic
1490C22C23×#4111yescharacteristic
1491C22C23×#4111yescharacteristic
1492C22C22×H(5,𝔽2)11yescharacteristic
1493C22C22×H(5,𝔽2)11yescharacteristic
1494C22C2×#58511yescharacteristic
1495C22C2×#58511yescharacteristic
1496C4—24no—
1497C4—24no—
1498C4—24no—
1499C4—24no—
1500C4—24no—
1501C4—24no—
1502C4—24no—
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—
1516C4—42no—
1517C4—42no—
1518C4—42no—
1519C4—42no—
1520C4—42no—
1521C4—42no—
1522C2—44no—
1523C2—44no—
1524C2—44no—
1525C2—44no—
1526C2—82no—
1527C2#3587918yesdirect product factor
1528C2C2×#344411yescharacteristic
1529C2C2×#351311yescharacteristic
1530C2C2×#351311yescharacteristic
1531C2C2×#351311yescharacteristic
1532C2C2×#351911yescharacteristic
1533C2C2×#351411yescharacteristic
1534C2C2×#352111yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35879C2direct (N × H)
2. C2×#2578C2semidirect
3. C2×#2578C2semidirect
4. C2×#2577C2semidirect
5. C2×#2589C2semidirect
6. C2×#2559C2semidirect
7. C2×#2557C2semidirect
8. C2×#2531C2semidirect
9. C2×#2497C2semidirect
10. C2×#2477C2semidirect
11. C2×#2476C2semidirect
12. C2×#2423C2semidirect
13. C2×#2422C2semidirect
14. C2×#2480C2semidirect
15. C2×#2472C2semidirect
17. C2×#2418C2semidirect
18. C2×#2418C2semidirect
19. C2×#2418C2semidirect
20. C2×#2649C2semidirect
21. C2×#2649C2semidirect
22. C2×#2652C2semidirect
23. C2×#2398C2semidirect
24. C2×#2395C2semidirect
25. C2×#2392C2semidirect
26. C2×#2374C2semidirect
27. C2×#2373C2semidirect
28. C2×#2367C2semidirect
29. C2×#2364C2semidirect
30. C2×#2359C2semidirect
31. C2×#2359C2semidirect
32. C2×#2273C2semidirect
43. C22×C4×Q8C22semidirect
48. C22×C4×D4C22semidirect
49. C22×#117C22semidirect
50. C22×#117C22semidirect
54. #2652C22semidirect
55. #2649C22semidirect
56. #2649C22semidirect
57. #2589C22semidirect
58. #2578C22semidirect
59. #2578C22semidirect
60. #2577C22semidirect
61. #2559C22semidirect
62. #2557C22semidirect
63. #2531C22semidirect
64. #2497C22semidirect
65. #2480C22semidirect
66. #2477C22semidirect
67. #2476C22semidirect
68. #2472C22semidirect
70. #2423C22semidirect
71. #2422C22semidirect
72. #2418C22semidirect
73. #2418C22semidirect
74. #2418C22semidirect
75. #2398C22semidirect
76. #2395C22semidirect
77. C2×#400C22semidirect
78. C2×#400C22semidirect
79. C2×#400C22semidirect
80. C2×#400C22semidirect
81. C2×#400C22semidirect
82. C2×#400C22semidirect
86. #2392C22semidirect
87. C2×#398C22semidirect
88. C2×#398C22semidirect
89. C2×#398C22semidirect
97. C2×#397C22semidirect
98. C2×#397C22semidirect
99. C2×#397C22semidirect
100. C2×#397C22semidirect
103. C2×#396C22semidirect
114. C2×#394C22semidirect
116. C2×#393C22semidirect
118. #2374C22semidirect
119. #2373C22semidirect
120. #2367C22semidirect
121. #2364C22semidirect
122. #2359C22semidirect
123. #2359C22semidirect
124. C2×#391C22semidirect
125. C2×#391C22semidirect
128. C2×#390C22semidirect
129. C2×#389C22semidirect
130. C2×#389C22semidirect
131. C2×#389C22semidirect
132. C2×#389C22semidirect
145. C2×#388C22semidirect
146. C2×#388C22semidirect
147. C2×#388C22semidirect
148. C2×#388C22semidirect
149. C2×#388C22semidirect
150. C2×#388C22semidirect
151. C2×#388C22semidirect
152. C2×#387C22semidirect
153. C2×#387C22semidirect
154. C2×#387C22semidirect
155. C2×#387C22semidirect
156. C2×#387C22semidirect
157. C2×#387C22semidirect
158. C2×#387C22semidirect
159. C2×#387C22semidirect
160. C2×#387C22semidirect
161. C2×#387C22semidirect
162. C2×#387C22semidirect
163. C2×#387C22semidirect
174. C2×#386C22semidirect
181. C2×#385C22semidirect
182. C2×#385C22semidirect
183. C2×#385C22semidirect
184. C2×#384C22semidirect
185. C2×#383C22semidirect
192. #2273C22semidirect
193. C2×C4×C4⋊C4C22semidirect
194. C2×C4×C4⋊C4C22semidirect
195. C2×C4×C4⋊C4C22semidirect
196. C2×C4×C4⋊C4C22semidirect
197. C2×C4×C4⋊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×#376C22semidirect
218. C22×#95C22semidirect
259. C2×C4×Q8C23semidirect
269. C2×C4×D4C23semidirect
272. C2×#117C23semidirect
273. C2×#117C23semidirect
372. #400C23semidirect
373. #400C23semidirect
374. #400C23semidirect
375. #400C23semidirect
376. #400C23semidirect
377. #400C23semidirect
381. #398C23semidirect
382. #398C23semidirect
383. #398C23semidirect
391. #397C23semidirect
392. #397C23semidirect
393. #397C23semidirect
394. #397C23semidirect
397. #396C23semidirect
408. #394C23semidirect
410. #393C23semidirect
412. #391C23semidirect
413. #391C23semidirect
416. #390C23semidirect
417. #389C23semidirect
418. #389C23semidirect
419. #389C23semidirect
420. #389C23semidirect
433. #388C23semidirect
434. #388C23semidirect
435. #388C23semidirect
436. #388C23semidirect
437. #388C23semidirect
438. #388C23semidirect
439. #388C23semidirect
440. #387C23semidirect
441. #387C23semidirect
442. #387C23semidirect
443. #387C23semidirect
444. #387C23semidirect
445. #387C23semidirect
446. #387C23semidirect
447. #387C23semidirect
448. #387C23semidirect
449. #387C23semidirect
450. #387C23semidirect
451. #387C23semidirect
462. #386C23semidirect
469. #385C23semidirect
470. #385C23semidirect
471. #385C23semidirect
472. #384C23semidirect
473. #383C23semidirect
480. C4×C4⋊C4C23semidirect
481. C4×C4⋊C4C23semidirect
482. C4×C4⋊C4C23semidirect
483. C4×C4⋊C4C23semidirect
484. C4×C4⋊C4C23semidirect
499. C4×C22⋊C4C23semidirect
500. C4×C22⋊C4C23semidirect
501. C4×C22⋊C4C23semidirect
502. C4×C22⋊C4C23semidirect
503. C4×C22⋊C4C23semidirect
504. #376C23semidirect
549. C2×#95C23semidirect
1527. C2#35879direct (N × H)

Maximal subgroups

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

subgroupindex
#358792
C2×#25782
C2×#25772
C2×#25892
C2×#25592
C2×#25572
C2×#25312
C2×#24972
C2×#24772
C2×#24762
C2×#24232
C2×#24222
C2×#24802
C2×#24722
C2×#24242
C2×#24182
C2×#26492
C2×#26522
C2×#23982
C2×#23952
C2×#23922
C2×#23742
C2×#23732
C2×#23672
C2×#23642
C2×#23592
C2×#22732