Finite Group Databasebeta

← C2×#59707 #7666152

Subgroups — C2×#59707 #7666152

Order 512.

6550 conjugacy classes of subgroups.

The subgroup lattice has 1488 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59707C2132yesmaximal, direct product factor
2C2×#2800C211yesmaximal, characteristic, complemented
3C2×#2787C211yesmaximal, characteristic, complemented
4C2×#2759C211yesmaximal, characteristic, complemented
5C2×#2740C211yesmaximal, characteristic, complemented
6C2×#2604C211yesmaximal, characteristic, complemented
7C2×#2594C211yesmaximal, characteristic, complemented
8C2×#2560C211yesmaximal, characteristic, complemented
9C2×#2549C211yesmaximal, characteristic, complemented
10C2×#2527C211yesmaximal, characteristic, complemented
11C2×#2525C211yesmaximal, characteristic, complemented
12C2×#2510C211yesmaximal, characteristic, complemented
13C2×#2510C211yesmaximal, characteristic, complemented
14C2×#2415C211yesmaximal, characteristic, complemented
15C2×#2474C211yesmaximal, characteristic, complemented
16C2×#2474C211yesmaximal, characteristic, complemented
17C2×#2448C211yesmaximal, characteristic, complemented
18C2×#2465C211yesmaximal, characteristic, complemented
19C2×#2480C211yesmaximal, characteristic, complemented
20C2×#2472C211yesmaximal, characteristic
21C2×#2472C211yesmaximal, characteristic
22C2×#2449C211yesmaximal, characteristic, complemented
23C2×#2437C211yesmaximal, characteristic, complemented
24C2×#2368C211yesmaximal, characteristic, complemented
25C2×#2367C211yesmaximal, characteristic, complemented
26C2×#2360C211yesmaximal, characteristic, complemented
27C2×#2358C211yesmaximal, characteristic
28C2×#2347C211yesmaximal, characteristic, complemented
29C2×#2342C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Q8C211yesmaximal, characteristic, complemented
31C2×#2290C211yesmaximal, characteristic, complemented
32C22×#388C211yesmaximal, characteristic, complemented
33C22×#126C2211yescharacteristic
34C22×#124C2211yescharacteristic
35C22×#124C2211yescharacteristic
36C22×C22⋊Q8C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic, complemented
41C22×#120C2211yescharacteristic
42C22×C4×Q8C2211yescharacteristic, complemented
43C22×C4×Q8C2211yescharacteristic, complemented
44C22×C4×D4C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×#117C2211yescharacteristic
47C22×#117C2211yescharacteristic, complemented
48C23×C4⋊C4C2211yescharacteristic
49C23×C22⋊C4C2211yescharacteristic
50C23×C22⋊C4C2211yescharacteristic
51C23×C22⋊C4C2211yescharacteristic
52C23×C22⋊C4C2211yescharacteristic
53C23×C42C2211yescharacteristic
54#2800C22116yescomplemented
55#2787C22116yescomplemented
56#2759C22116yescomplemented
57#2740C22116yescomplemented
58#2604C22116yescomplemented
59#2594C22116yescomplemented
60#2560C22116yescomplemented
61#2549C22116yescomplemented
62#2527C22116yescomplemented
63#2525C22116yescomplemented
64#2510C22116yescomplemented
65#2510C22116yescomplemented
66#2480C22116yescomplemented
67#2474C22116yescomplemented
68#2474C22116yescomplemented
69#2472C22116yes—
70#2472C22116yes—
71#2465C22116yescomplemented
72#2449C22116yescomplemented
73#2448C22116yescomplemented
74#2437C22116yescomplemented
75#2415C22116yescomplemented
76C2×#401C2211yescharacteristic, complemented
77C2×#401C2211yescharacteristic, complemented
78C2×#400C2211yescharacteristic, complemented
79C2×#400C2211yescharacteristic, complemented
80C2×#399C2211yescharacteristic
81C2×#399C2211yescharacteristic, complemented
82C2×#398C2211yescharacteristic, complemented
83C2×#398C2211yescharacteristic, complemented
84C2×#398C2211yescharacteristic, complemented
85C2×#397C2211yescharacteristic
86C2×#397C2211yescharacteristic
87C2×#397C2211yescharacteristic
88C2×#397C2211yescharacteristic
89C2×#397C2211yescharacteristic
90C2×#397C2211yescharacteristic, complemented
91C2×#397C2211yescharacteristic, complemented
92C2×#397C2211yescharacteristic, complemented
93C2×#397C2211yescharacteristic, complemented
94C2×#396C2211yescharacteristic
95C2×#396C2211yescharacteristic
96C2×#396C2211yescharacteristic
97C2×#396C2211yescharacteristic, complemented
98C2×#395C2211yescharacteristic, complemented
99C2×#395C2211yescharacteristic, complemented
100C2×#395C2211yescharacteristic, complemented
101C2×#394C2211yescharacteristic
102C2×#394C2211yescharacteristic
103C2×#394C2211yescharacteristic
104C2×#394C2211yescharacteristic
105C2×#393C2211yescharacteristic
106C2×#393C2211yescharacteristic
107C2×#393C2211yescharacteristic
108#2368C22116yescomplemented
109#2367C22116yescomplemented
110#2360C22116yescomplemented
111#2358C22116yes—
112#2347C22116yescomplemented
113#2342C22116yescomplemented
114C4×C22⋊Q8C22116yescomplemented
115C2×#391C2211yescharacteristic, complemented
116C2×#391C2211yescharacteristic, complemented
117C2×#391C2211yescharacteristic, complemented
118C2×#391C2211yescharacteristic, complemented
119C2×#391C2211yescharacteristic, complemented
120C2×#391C2211yescharacteristic, complemented
121C2×#390C2211yescharacteristic
122C2×#390C2211yescharacteristic
123C2×#390C2211yescharacteristic
124C2×#389C2211yescharacteristic, complemented
125C2×#389C2211yescharacteristic, complemented
126C2×#389C2211yescharacteristic, complemented
127C2×#389C2211yescharacteristic, complemented
128C2×#389C2211yescharacteristic, complemented
129C2×#389C2211yescharacteristic, complemented
130C2×#389C2211yescharacteristic, complemented
131#2290C22116yescomplemented
132C2×#388C2211yescharacteristic
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
146C2×#388C2211yescharacteristic
147C2×#388C2211yescharacteristic
148C2×#388C2211yescharacteristic
149C2×#388C2211yescharacteristic
150C2×#388C2211yescharacteristic
151C2×#388C2211yescharacteristic
152C2×#388C2211yescharacteristic
153C2×#388C22116yescomplemented
154C2×#388C2211yescharacteristic, complemented
155C2×#388C2211yescharacteristic, complemented
156C2×#388C2211yescharacteristic, complemented
157C2×#388C2211yescharacteristic, complemented
158C2×#388C2211yescharacteristic, complemented
159C2×#388C2211yescharacteristic, complemented
160C2×#387C2211yescharacteristic, complemented
161C2×#387C2211yescharacteristic, complemented
162C2×#387C2211yescharacteristic, complemented
163C2×#387C2211yescharacteristic, complemented
164C2×#387C2211yescharacteristic, complemented
165C2×#387C2211yescharacteristic, complemented
166C2×#387C2211yescharacteristic, complemented
167C2×#387C2211yescharacteristic, complemented
168C2×#387C2211yescharacteristic, complemented
169C2×#387C2211yescharacteristic, complemented
170C2×#387C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#387C2211yescharacteristic, complemented
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#385C2211yescharacteristic
181C2×#385C2211yescharacteristic
182C2×#385C2211yescharacteristic
183C2×#385C2211yescharacteristic
184C2×#385C2211yescharacteristic
185C2×#385C2211yescharacteristic
186C2×#385C2211yescharacteristic
187C2×#385C2211yescharacteristic
188C2×#385C2211yescharacteristic
189C2×#385C2211yescharacteristic
190C2×#385C2211yescharacteristic, complemented
191C2×#383C2211yescharacteristic, complemented
192C2×#383C2211yescharacteristic, complemented
193C2×#381C2211yescharacteristic
194C2×#380C2211yescharacteristic
195C2×#380C2211yescharacteristic
196C2×#380C2211yescharacteristic
197C2×#380C2211yescharacteristic
198C2×#379C2211yescharacteristic
199C2×#379C2211yescharacteristic
200C2×C4×C4⋊C4C2211yescharacteristic, complemented
201C2×C4×C4⋊C4C2211yescharacteristic, complemented
202C2×C4×C4⋊C4C2211yescharacteristic, complemented
203C2×C4×C4⋊C4C2211yescharacteristic, complemented
204C2×C4×C4⋊C4C2211yescharacteristic, complemented
205C2×C4×C4⋊C4C2211yescharacteristic, complemented
206C2×C4×C4⋊C4C2211yescharacteristic, complemented
207C2×C4×C22⋊C4C2211yescharacteristic
208C2×C4×C22⋊C4C2211yescharacteristic
209C2×C4×C22⋊C4C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic
214C2×C4×C22⋊C4C2211yescharacteristic
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×#376C2211yescharacteristic, complemented
217C22×#95C2211yescharacteristic
218C22×#95C2211yescharacteristic
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C24×C4C2311yescharacteristic
227C24×C4C2311yescharacteristic
228C24×C4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C2×#126—44no—
236C2×#126C2318yes—
237C2×#124—28no—
238C2×#124—44no—
239C2×#124C2318yes—
240C2×#124C2318yes—
241C2×C22⋊Q8—28no—
242C2×C22⋊Q8—28no—
243C2×C22⋊Q8—28no—
244C2×C22⋊Q8—44no—
245C2×C22⋊Q8—44no—
246C2×C22⋊Q8C2318yes—
247C2×C22⋊Q8C2318yes—
248C2×C22⋊Q8C2318yes—
249C2×C22⋊Q8C2318yes—
250C2×C22⋊Q8C2318yescomplemented
251C2×#120—28no—
252C2×#120C2318yes—
253C2×C4×Q8—44no—
254C2×C4×Q8—44no—
255C2×C4×Q8C2318yescomplemented
256C2×C4×Q8C2318yescomplemented
257C2×C4×D4—28no—
258C2×C4×D4—44no—
259C2×C4×D4C2318yes—
260C2×C4×D4C2318yes—
261C2×#117—28no—
262C2×#117—44no—
263C2×#117C2318yes—
264C2×#117C2318yescomplemented
265C22×C4⋊C4—44no—
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⋊C4C2318yes—
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×C22⋊C4—28no—
300C22×C22⋊C4—28no—
301C22×C22⋊C4—44no—
302C22×C22⋊C4—44no—
303C22×C22⋊C4C2318yes—
304C22×C22⋊C4C2318yes—
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⋊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⋊C4C2318yes—
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C42—44no—
350C22×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358C22×C42C2311yescharacteristic
359C22×C42C2318yes—
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368#401C2318yescomplemented
369#401C2318yescomplemented
370#400C2318yescomplemented
371#400C2318yescomplemented
372#399C2318yes—
373#399C2318yescomplemented
374#398C2318yescomplemented
375#398C2318yescomplemented
376#398C2318yescomplemented
377#397C2318yes—
378#397C2318yes—
379#397C2318yes—
380#397C2318yes—
381#397C2318yes—
382#397C2318yescomplemented
383#397C2318yescomplemented
384#397C2318yescomplemented
385#397C2318yescomplemented
386#396C2318yes—
387#396C2318yes—
388#396C2318yes—
389#396C2318yescomplemented
390#395C2318yescomplemented
391#395C2318yescomplemented
392#395C2318yescomplemented
393#394C2318yes—
394#394C2318yes—
395#394C2318yes—
396#394C2318yes—
397#393C2318yes—
398#393C2318yes—
399#393C2318yes—
400#391C2318yescomplemented
401#391C2318yescomplemented
402#391C2318yescomplemented
403#391C2318yescomplemented
404#391C2318yescomplemented
405#391C2318yescomplemented
406#390C2318yes—
407#390C2318yes—
408#390C2318yes—
409#389C2318yescomplemented
410#389C2318yescomplemented
411#389C2318yescomplemented
412#389C2318yescomplemented
413#389C2318yescomplemented
414#389C2318yescomplemented
415#389C2318yescomplemented
416#388C2318yes—
417#388C2318yes—
418#388C2318yes—
419#388C2318yes—
420#388C2318yes—
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#388C2318yes—
434#388C2318yes—
435#388C2318yes—
436#388C2318yes—
437#388C2318yescomplemented
438#388C2318yescomplemented
439#388C2318yescomplemented
440#388C2318yescomplemented
441#388C2318yescomplemented
442#388C2318yescomplemented
443#387C2318yescomplemented
444#387C2318yescomplemented
445#387C2318yescomplemented
446#387C2318yescomplemented
447#387C2318yescomplemented
448#387C2318yescomplemented
449#387C2318yescomplemented
450#387C2318yescomplemented
451#387C2318yescomplemented
452#387C2318yescomplemented
453#387C2318yescomplemented
454#387C2318yescomplemented
455#387C2318yescomplemented
456#386C2318yes—
457#386C2318yes—
458#386C2318yes—
459#386C2318yes—
460#386C2318yes—
461#386C2318yes—
462#386C2318yes—
463#385C2318yes—
464#385C2318yes—
465#385C2318yes—
466#385C2318yes—
467#385C2318yes—
468#385C2318yes—
469#385C2318yes—
470#385C2318yes—
471#385C2318yes—
472#385C2318yes—
473#385C2318yescomplemented
474#383C2318yescomplemented
475#383C2318yescomplemented
476#381C2318yes—
477#380C2318yes—
478#380C2318yes—
479#380C2318yes—
480#380C2318yes—
481#379C2318yes—
482#379C2318yes—
483C4×C4⋊C4C2318yescomplemented
484C4×C4⋊C4C2318yescomplemented
485C4×C4⋊C4C2318yescomplemented
486C4×C4⋊C4C2318yescomplemented
487C4×C4⋊C4C2318yescomplemented
488C4×C4⋊C4C2318yescomplemented
489C4×C4⋊C4C2318yescomplemented
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⋊C4C2318yescomplemented
499#376C2318yescomplemented
500C2×#95C2318yes—
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×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2318yes—
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C25—24no—
551C25—24no—
552C25—24no—
553C25—24no—
554C25—42no—
555C25—42no—
556C25—42no—
557C25C2411yescharacteristic
558C25C2411yescharacteristic
559C25C2411yescharacteristic
560C25C2414yes—
561C25C2411yescharacteristic
562C22×Q8—24no—
563C22×Q8—24no—
564C22×Q8—24no—
565C22×Q8—24no—
566C22×Q8—24no—
567C22×Q8—42no—
568C22×Q8—42no—
569C22×Q8—42no—
570C22×Q8—42no—
571C22×Q8C2414yes—
572C22×Q8C2414yes—
573C22×Q8C2414yes—
574C22×D4—24no—
575C22×D4—24no—
576C22×D4—24no—
577C22×D4—24no—
578C22×D4—24no—
579C22×D4—24no—
580C22×D4—42no—
581C22×D4—42no—
582C22×D4—42no—
583C22×D4C2414yes—
584C22×D4C2414yes—
585C22×D4C2414yes—
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—24no—
596C23×C4—24no—
597C23×C4—24no—
598C23×C4—24no—
599C23×C4—24no—
600C23×C4—24no—
601C23×C4—42no—
602C23×C4—42no—
603C23×C4—42no—
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×C4C2411yescharacteristic
614C23×C4C2411yescharacteristic
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×C4C2414yes—
633C23×C4C2414yes—
634C23×C4C2414yes—
635C23×C4C2414yes—
636C23×C4C2414yes—
637C23×C4C2414yes—
638C23×C4C2411yescharacteristic
639C23×C4C2411yescharacteristic
640C23×C4C2411yescharacteristic
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2414yes—
647C23×C4C2414yes—
648C23×C4C2414yes—
649#126—416no—
650#124—232no—
651#124—416no—
652C22⋊Q8—232no—
653C22⋊Q8—232no—
654C22⋊Q8—232no—
655C22⋊Q8—416no—
656C22⋊Q8—416no—
657#120—232no—
658C4×Q8—416no—
659C4×Q8—416no—
660C4×D4—232no—
661C4×D4—416no—
662#117—232no—
663#117—416no—
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—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—416no—
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⋊C4—42no—
696C2×C4⋊C4—42no—
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×C4⋊C4C2414yes—
724C2×C4⋊C4C2414yes—
725C2×C4⋊C4C2414yes—
726C2×C4⋊C4C2414yes—
727C2×C4⋊C4C2414yes—
728C2×C4⋊C4C2414yes—
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—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—232no—
752C2×C22⋊C4—232no—
753C2×C22⋊C4—416no—
754C2×C22⋊C4—416no—
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#4118yes—
773C2×C22⋊C4#4118yes—
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×C42—24no—
818C2×C42—24no—
819C2×C42—24no—
820C2×C42—24no—
821C2×C42—24no—
822C2×C42—24no—
823C2×C42—24no—
824C2×C42—416no—
825C2×C42—42no—
826C2×C42—42no—
827C2×C42—42no—
828C2×C42—42no—
829C2×C42—42no—
830C2×C42—42no—
831C2×C42—42no—
832C2×C42—42no—
833C2×C42—42no—
834C2×C42—42no—
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—
852#95C2414yes—
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—
900C24—22no—
901C24—22no—
902C24—22no—
903C24—22no—
904C24—22no—
905C24—22no—
906C24—22no—
907C24—22no—
908C24—22no—
909C24—22no—
910C24—22no—
911C24—28no—
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—28no—
926C24—28no—
927C24—28no—
928C24—44no—
929C24—44no—
930C24—44no—
931C24—416no—
932C24—416no—
933C24—416no—
934C24—416no—
935C24—88no—
936C24—88no—
937C24—88no—
938C24C2×#4114yes—
939C24C2×#4114yes—
940C24C2×#4114yes—
941C242−1+414yes—
942C24C2512yes—
943C24C2512yes—
944C24C2512yes—
945C24C2512yes—
946C24C2511yescharacteristic
947C2×Q8—28no—
948C2×Q8—28no—
949C2×Q8—28no—
950C2×Q8—28no—
951C2×Q8—28no—
952C2×Q8—44no—
953C2×Q8—44no—
954C2×Q8—44no—
955C2×Q8—44no—
956C2×Q8—416no—
957C2×Q8—416no—
958C2×Q8—88no—
959C2×D4—28no—
960C2×D4—28no—
961C2×D4—28no—
962C2×D4—28no—
963C2×D4—28no—
964C2×D4—28no—
965C2×D4—44no—
966C2×D4—416no—
967C2×D4—44no—
968C2×D4—44no—
969C2×D4—416no—
970C2×D4—88no—
971C22×C4—22no—
972C22×C4—22no—
973C22×C4—22no—
974C22×C4—22no—
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—22no—
984C22×C4—22no—
985C22×C4—22no—
986C22×C4—22no—
987C22×C4—22no—
988C22×C4—22no—
989C22×C4—22no—
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—28no—
1011C22×C4—28no—
1012C22×C4—28no—
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—28no—
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—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—44no—
1060C22×C4—44no—
1061C22×C4—44no—
1062C22×C4—44no—
1063C22×C4—44no—
1064C22×C4—44no—
1065C22×C4—416no—
1066C22×C4—44no—
1067C22×C4—44no—
1068C22×C4—44no—
1069C22×C4—44no—
1070C22×C4—44no—
1071C22×C4—44no—
1072C22×C4—416no—
1073C22×C4—416no—
1074C22×C4—416no—
1075C22×C4—416no—
1076C22×C4—416no—
1077C22×C4—88no—
1078C22×C4—88no—
1079C22×C4—88no—
1080C22×C4C2×#4114yes—
1081C22×C4C2×#4114yes—
1082C22×C4C2×#4114yes—
1083C22×C4C2×#4114yes—
1084C22×C4C2×#4114yes—
1085C22×C4C2×#4114yes—
1086C22×C4H(5,𝔽2)14yes—
1087C22×C4H(5,𝔽2)14yes—
1088C22×C4C2512yes—
1089C22×C4C2512yes—
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—
1115C4⋊C4—28no—
1116C4⋊C4—28no—
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—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
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—44no—
1170C22⋊C4—44no—
1171C22⋊C4—44no—
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⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4C2×#41116yes—
1187C22⋊C4C2×#41116yes—
1188C22⋊C4C2×#41116yes—
1189C42—28no—
1190C42—28no—
1191C42—28no—
1192C42—28no—
1193C42—28no—
1194C42—28no—
1195C42—28no—
1196C42—44no—
1197C42—44no—
1198C42—44no—
1199C42—44no—
1200C42—44no—
1201C42—44no—
1202C42—44no—
1203C42—44no—
1204C42—44no—
1205C42—44no—
1206C23—22no—
1207C23—22no—
1208C23—22no—
1209C23—22no—
1210C23—28no—
1211C23—28no—
1212C23—28no—
1213C23—28no—
1214C23—28no—
1215C23—28no—
1216C23—22no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—28no—
1223C23—28no—
1224C23—28no—
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—416no—
1240C23—416no—
1241C23—416no—
1242C23—44no—
1243C23—44no—
1244C23—44no—
1245C23—44no—
1246C23—44no—
1247C23—416no—
1248C23—44no—
1249C23—44no—
1250C23—44no—
1251C23—44no—
1252C23—44no—
1253C23—44no—
1254C23—44no—
1255C23—44no—
1256C23—44no—
1257C23—44no—
1258C23—44no—
1259C23—44no—
1260C23—44no—
1261C23—88no—
1262C23—88no—
1263C23—88no—
1264C23—864no—
1265C23#556116yes—
1266C23C22×#4114yes—
1267C23C22×#4114yes—
1268C23C22×#4114yes—
1269C23C22×#4112yes—
1270C23C22×#4112yes—
1271C23C22×#4112yes—
1272C23C2×H(5,𝔽2)12yes—
1273C23C2×H(5,𝔽2)12yes—
1274C23C2×2−1+414yes—
1275C23C2×2−1+412yes—
1276C23#58512yes—
1277C23C2611yescharacteristic
1278Q8—416no—
1279Q8—416no—
1280Q8—88no—
1281D4—416no—
1282D4—416no—
1283D4—88no—
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—28no—
1301C2×C4—28no—
1302C2×C4—28no—
1303C2×C4—28no—
1304C2×C4—28no—
1305C2×C4—28no—
1306C2×C4—28no—
1307C2×C4—28no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
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—44no—
1390C2×C4—88no—
1391C2×C4—88no—
1392C2×C4—88no—
1393C2×C4C22×#4114yes—
1394C2×C4C22×#4114yes—
1395C2×C4C22×#4114yes—
1396C2×C4C22×#4114yes—
1397C2×C4C22×#4114yes—
1398C2×C4C22×#4114yes—
1399C2×C4C2×H(5,𝔽2)14yes—
1400C2×C4C2×H(5,𝔽2)14yes—
1401C22—24no—
1402C22—24no—
1403C22—24no—
1404C22—24no—
1405C22—232no—
1406C22—24no—
1407C22—24no—
1408C22—24no—
1409C22—24no—
1410C22—24no—
1411C22—42no—
1412C22—42no—
1413C22—42no—
1414C22—416no—
1415C22—42no—
1416C22—42no—
1417C22—42no—
1418C22—42no—
1419C22—42no—
1420C22—42no—
1421C22—42no—
1422C22—42no—
1423C22—42no—
1424C22—42no—
1425C22—42no—
1426C22—42no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—832no—
1431C22—88no—
1432C22—88no—
1433C22C2×#55618yes—
1434C22C2×#55614yes—
1435C22#347514yes—
1436C22#348114yes—
1437C22#351314yes—
1438C22#351914yes—
1439C22#352014yes—
1440C22#356114yes—
1441C22C23×#4111yescharacteristic
1442C22C23×#4111yescharacteristic
1443C22C23×#4111yescharacteristic
1444C22C22×H(5,𝔽2)11yescharacteristic
1445C22C22×H(5,𝔽2)11yescharacteristic
1446C22C22×2−1+411yescharacteristic
1447C22C2×#58511yescharacteristic
1448C4—24no—
1449C4—24no—
1450C4—24no—
1451C4—24no—
1452C4—24no—
1453C4—24no—
1454C4—24no—
1455C4—24no—
1456C4—42no—
1457C4—42no—
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—
1475C2—28no—
1476C2—44no—
1477C2—82no—
1478C2—82no—
1479C2#5970718yesdirect product factor
1480C2C22×#55611yescharacteristic
1481C2C2×#347511yescharacteristic
1482C2C2×#348111yescharacteristic
1483C2C2×#356111yescharacteristic
1484C2C2×#351311yescharacteristic
1485C2C2×#351911yescharacteristic
1486C2C2×#352011yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC22×#120C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59707C2direct (N × H)
2. C2×#2800C2semidirect
3. C2×#2787C2semidirect
4. C2×#2759C2semidirect
5. C2×#2740C2semidirect
6. C2×#2604C2semidirect
7. C2×#2594C2semidirect
8. C2×#2560C2semidirect
9. C2×#2549C2semidirect
10. C2×#2527C2semidirect
11. C2×#2525C2semidirect
12. C2×#2510C2semidirect
13. C2×#2510C2semidirect
14. C2×#2415C2semidirect
15. C2×#2474C2semidirect
16. C2×#2474C2semidirect
17. C2×#2448C2semidirect
18. C2×#2465C2semidirect
19. C2×#2480C2semidirect
22. C2×#2449C2semidirect
23. C2×#2437C2semidirect
24. C2×#2368C2semidirect
25. C2×#2367C2semidirect
26. C2×#2360C2semidirect
28. C2×#2347C2semidirect
29. C2×#2342C2semidirect
30. C2×C4×C22⋊Q8C2semidirect
31. C2×#2290C2semidirect
32. C22×#388C2semidirect
40. C22×C22⋊Q8C22semidirect
42. C22×C4×Q8C22semidirect
43. C22×C4×Q8C22semidirect
47. C22×#117C22semidirect
54. #2800C22semidirect
55. #2787C22semidirect
56. #2759C22semidirect
57. #2740C22semidirect
58. #2604C22semidirect
59. #2594C22semidirect
60. #2560C22semidirect
61. #2549C22semidirect
62. #2527C22semidirect
63. #2525C22semidirect
64. #2510C22semidirect
65. #2510C22semidirect
66. #2480C22semidirect
67. #2474C22semidirect
68. #2474C22semidirect
71. #2465C22semidirect
72. #2449C22semidirect
73. #2448C22semidirect
74. #2437C22semidirect
75. #2415C22semidirect
76. C2×#401C22semidirect
77. C2×#401C22semidirect
78. C2×#400C22semidirect
79. C2×#400C22semidirect
81. C2×#399C22semidirect
82. C2×#398C22semidirect
83. C2×#398C22semidirect
84. C2×#398C22semidirect
90. C2×#397C22semidirect
91. C2×#397C22semidirect
92. C2×#397C22semidirect
93. C2×#397C22semidirect
97. C2×#396C22semidirect
98. C2×#395C22semidirect
99. C2×#395C22semidirect
100. C2×#395C22semidirect
108. #2368C22semidirect
109. #2367C22semidirect
110. #2360C22semidirect
112. #2347C22semidirect
113. #2342C22semidirect
114. C4×C22⋊Q8C22semidirect
115. C2×#391C22semidirect
116. C2×#391C22semidirect
117. C2×#391C22semidirect
118. C2×#391C22semidirect
119. C2×#391C22semidirect
120. C2×#391C22semidirect
124. C2×#389C22semidirect
125. C2×#389C22semidirect
126. C2×#389C22semidirect
127. C2×#389C22semidirect
128. C2×#389C22semidirect
129. C2×#389C22semidirect
130. C2×#389C22semidirect
131. #2290C22semidirect
153. C2×#388C22semidirect
154. C2×#388C22semidirect
155. C2×#388C22semidirect
156. C2×#388C22semidirect
157. C2×#388C22semidirect
158. C2×#388C22semidirect
159. C2×#388C22semidirect
160. C2×#387C22semidirect
161. C2×#387C22semidirect
162. C2×#387C22semidirect
163. C2×#387C22semidirect
164. C2×#387C22semidirect
165. C2×#387C22semidirect
166. C2×#387C22semidirect
167. C2×#387C22semidirect
168. C2×#387C22semidirect
169. C2×#387C22semidirect
170. C2×#387C22semidirect
171. C2×#387C22semidirect
172. C2×#387C22semidirect
190. C2×#385C22semidirect
191. C2×#383C22semidirect
192. C2×#383C22semidirect
200. C2×C4×C4⋊C4C22semidirect
201. C2×C4×C4⋊C4C22semidirect
202. C2×C4×C4⋊C4C22semidirect
203. C2×C4×C4⋊C4C22semidirect
204. C2×C4×C4⋊C4C22semidirect
205. C2×C4×C4⋊C4C22semidirect
206. C2×C4×C4⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×#376C22semidirect
250. C2×C22⋊Q8C23semidirect
255. C2×C4×Q8C23semidirect
256. C2×C4×Q8C23semidirect
264. C2×#117C23semidirect
368. #401C23semidirect
369. #401C23semidirect
370. #400C23semidirect
371. #400C23semidirect
373. #399C23semidirect
374. #398C23semidirect
375. #398C23semidirect
376. #398C23semidirect
382. #397C23semidirect
383. #397C23semidirect
384. #397C23semidirect
385. #397C23semidirect
389. #396C23semidirect
390. #395C23semidirect
391. #395C23semidirect
392. #395C23semidirect
400. #391C23semidirect
401. #391C23semidirect
402. #391C23semidirect
403. #391C23semidirect
404. #391C23semidirect
405. #391C23semidirect
409. #389C23semidirect
410. #389C23semidirect
411. #389C23semidirect
412. #389C23semidirect
413. #389C23semidirect
414. #389C23semidirect
415. #389C23semidirect
437. #388C23semidirect
438. #388C23semidirect
439. #388C23semidirect
440. #388C23semidirect
441. #388C23semidirect
442. #388C23semidirect
443. #387C23semidirect
444. #387C23semidirect
445. #387C23semidirect
446. #387C23semidirect
447. #387C23semidirect
448. #387C23semidirect
449. #387C23semidirect
450. #387C23semidirect
451. #387C23semidirect
452. #387C23semidirect
453. #387C23semidirect
454. #387C23semidirect
455. #387C23semidirect
473. #385C23semidirect
474. #383C23semidirect
475. #383C23semidirect
483. C4×C4⋊C4C23semidirect
484. C4×C4⋊C4C23semidirect
485. C4×C4⋊C4C23semidirect
486. C4×C4⋊C4C23semidirect
487. C4×C4⋊C4C23semidirect
488. C4×C4⋊C4C23semidirect
489. C4×C4⋊C4C23semidirect
498. C4×C22⋊C4C23semidirect
499. #376C23semidirect
1479. C2#59707direct (N × H)

Maximal subgroups

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

subgroupindex
#597072
C2×#28002
C2×#27872
C2×#27592
C2×#27402
C2×#26042
C2×#25942
C2×#25602
C2×#25492
C2×#25272
C2×#25252
C2×#25102
C2×#24152
C2×#24742
C2×#24482
C2×#24652
C2×#24802
C2×#24722
C2×#24492
C2×#24372
C2×#23682
C2×#23672
C2×#23602
C2×#23582
C2×#23472
C2×#23422
C2×C4×C22⋊Q82
C2×#22902
C22×#3882