Finite Group Databasebeta

← C2×#53937 #8102002

Subgroups — C2×#53937 #8102002

Order 512.

7668 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53937C2132yesmaximal, direct product factor
2C2×#2756C211yesmaximal, characteristic, complemented
3C2×#2749C211yesmaximal, characteristic, complemented
4C2×#2740C211yesmaximal, characteristic, complemented
5C2×#2737C211yesmaximal, characteristic, complemented
6C2×#2736C211yesmaximal, characteristic, complemented
7C2×#2714C211yesmaximal, characteristic, complemented
8C2×#2714C211yesmaximal, characteristic, complemented
9C2×#2714C211yesmaximal, characteristic, complemented
10C2×#2705C211yesmaximal, characteristic, complemented
11C2×#2701C211yesmaximal, characteristic, complemented
12C2×#2695C211yesmaximal, characteristic, complemented
13C2×#2678C211yesmaximal, characteristic, complemented
14C2×#2678C211yesmaximal, characteristic, complemented
15C2×#2678C211yesmaximal, characteristic, complemented
16C2×#2678C211yesmaximal, characteristic, complemented
17C2×#2668C211yesmaximal, characteristic, complemented
18C2×#2830C211yesmaximal, characteristic, complemented
19C2×#2824C211yesmaximal, characteristic, complemented
20C2×#2815C211yesmaximal, characteristic, complemented
21C2×#2543C211yesmaximal, characteristic, complemented
22C2×#2430C211yesmaximal, characteristic, complemented
23C2×#2404C211yesmaximal, characteristic, complemented
24C2×#2464C211yesmaximal, characteristic, complemented
25C2×#2408C211yesmaximal, characteristic, complemented
26C2×#2419C211yesmaximal, characteristic, complemented
27C2×#2480C211yesmaximal, characteristic, complemented
28C2×#2456C211yesmaximal, characteristic, complemented
29C2×#2410C211yesmaximal, characteristic, complemented
30C2×#2615C211yesmaximal, characteristic, complemented
31C2×#2648C211yesmaximal, characteristic, complemented
32C2×#2613C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic, complemented
34C24×D4C2211yescharacteristic
35C22×#126C2211yescharacteristic, complemented
36C22×#126C2211yescharacteristic, complemented
37C22×#123C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic, complemented
40C22×#123C2211yescharacteristic, complemented
41C22×#121C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic, complemented
47C22×#121C2211yescharacteristic, complemented
48C22×#121C2211yescharacteristic, complemented
49C22×#121C2211yescharacteristic, complemented
50C22×#120C2211yescharacteristic
51C22×#120C2211yescharacteristic
52C22×#120C2211yescharacteristic
53C22×#120C2211yescharacteristic
54C22×#120C2211yescharacteristic
55C22×#120C2211yescharacteristic
56C22×C4×D4C2211yescharacteristic
57C22×C4×D4C2211yescharacteristic, complemented
58C23×C22⋊C4C2211yescharacteristic
59#2830C22116yescomplemented
60#2824C22116yescomplemented
61#2815C22116yescomplemented
62#2756C22116yescomplemented
63#2749C22116yescomplemented
64#2740C22116yescomplemented
65#2737C22116yescomplemented
66#2736C22116yescomplemented
67#2714C22116yescomplemented
68#2714C22116yescomplemented
69#2714C22116yescomplemented
70#2705C22116yescomplemented
71#2701C22116yescomplemented
72#2695C22116yescomplemented
73#2678C22116yescomplemented
74#2678C22116yescomplemented
75#2678C22116yescomplemented
76#2678C22116yescomplemented
77#2668C22116yescomplemented
78#2648C22116yescomplemented
79#2615C22116yescomplemented
80#2613C22116yescomplemented
81#2543C22116yescomplemented
82#2480C22116yescomplemented
83#2464C22116yescomplemented
84#2456C22116yescomplemented
85#2430C22116yescomplemented
86#2419C22116yescomplemented
87#2410C22116yescomplemented
88#2408C22116yescomplemented
89#2404C22116yescomplemented
90C2×#400C2211yescharacteristic, complemented
91C2×#400C2211yescharacteristic, complemented
92C2×#399C2211yescharacteristic, complemented
93C2×#398C2211yescharacteristic, complemented
94C2×#398C2211yescharacteristic, complemented
95C2×#398C2211yescharacteristic, complemented
96C2×#397C2211yescharacteristic
97C2×#397C2211yescharacteristic
98C2×#397C2211yescharacteristic, complemented
99C2×#397C2211yescharacteristic, complemented
100C2×#397C2211yescharacteristic, complemented
101C2×#397C2211yescharacteristic, complemented
102C2×#397C2211yescharacteristic, complemented
103C2×#397C2211yescharacteristic, complemented
104C2×#397C2211yescharacteristic, complemented
105C2×#397C2211yescharacteristic, complemented
106C2×#397C2211yescharacteristic, complemented
107C2×#397C2211yescharacteristic, complemented
108C2×#397C2211yescharacteristic, complemented
109C2×#396C2211yescharacteristic
110C2×#396C2211yescharacteristic, complemented
111C2×#396C2211yescharacteristic, complemented
112C2×#396C2211yescharacteristic, complemented
113C2×#396C2211yescharacteristic, complemented
114C2×#395C2211yescharacteristic, complemented
115C2×#394C2211yescharacteristic
116C2×#394C2211yescharacteristic
117C2×#394C2211yescharacteristic
118C2×#394C2211yescharacteristic
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic, complemented
126C2×#394C2211yescharacteristic, complemented
127C2×#394C2211yescharacteristic, complemented
128C2×#394C2211yescharacteristic, complemented
129C2×#394C2211yescharacteristic, complemented
130C2×#394C2211yescharacteristic, complemented
131C2×#393C2211yescharacteristic
132C2×#393C2211yescharacteristic, complemented
133C2×#393C2211yescharacteristic, complemented
134C2×#393C2211yescharacteristic, complemented
135C2×#393C2211yescharacteristic, complemented
136C2×#392C2211yescharacteristic
137C2×#392C2211yescharacteristic
138C2×#392C2211yescharacteristic
139C2×#392C2211yescharacteristic
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic
145C2×#392C2211yescharacteristic
146C2×#392C2211yescharacteristic, complemented
147C2×#392C2211yescharacteristic, complemented
148C2×#392C2211yescharacteristic, complemented
149C2×#392C2211yescharacteristic, complemented
150C2×#392C2211yescharacteristic, complemented
151C2×#392C2211yescharacteristic, complemented
152C2×#392C2211yescharacteristic, complemented
153C2×#392C2211yescharacteristic, complemented
154C2×#390C2211yescharacteristic
155C2×#390C2211yescharacteristic
156C2×#390C2211yescharacteristic
157C2×#390C2211yescharacteristic, complemented
158C2×#390C2211yescharacteristic, complemented
159C2×#390C2211yescharacteristic, complemented
160C2×#390C2211yescharacteristic, complemented
161C2×#390C2211yescharacteristic, complemented
162C2×#390C2211yescharacteristic, complemented
163C2×#390C2211yescharacteristic, complemented
164C2×#389C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic
166C2×#388C2211yescharacteristic
167C2×#388C2211yescharacteristic
168C2×#388C2211yescharacteristic, complemented
169C2×#388C2211yescharacteristic, complemented
170C2×#388C2211yescharacteristic, complemented
171C2×#388C2211yescharacteristic, complemented
172C2×#388C2211yescharacteristic, complemented
173C2×#388C2211yescharacteristic, complemented
174C2×#388C2211yescharacteristic, complemented
175C2×#388C2211yescharacteristic, complemented
176C2×#388C2211yescharacteristic, complemented
177C2×#387C2211yescharacteristic, complemented
178C2×#387C2211yescharacteristic, complemented
179C2×#387C2211yescharacteristic, complemented
180C2×#387C2211yescharacteristic, complemented
181C2×#387C2211yescharacteristic, complemented
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic, complemented
188C2×#386C2211yescharacteristic, complemented
189C2×#386C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic, complemented
191C2×#386C2211yescharacteristic, complemented
192C2×#386C2211yescharacteristic, complemented
193C2×#386C2211yescharacteristic, complemented
194C2×#386C2211yescharacteristic, complemented
195C2×#386C2211yescharacteristic, complemented
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#383C2211yescharacteristic, complemented
205C2×#381C2211yescharacteristic
206C2×#381C2211yescharacteristic, complemented
207C2×#381C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic
209C2×#380C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic, complemented
211C2×#380C2211yescharacteristic, complemented
212C2×#379C2211yescharacteristic
213C2×#379C2211yescharacteristic
214C2×#379C2211yescharacteristic
215C2×#379C2211yescharacteristic
216C2×#379C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C22×#41—44no—
222C22×#41—44no—
223C22×#41—44no—
224C22×#41C2318yescomplemented
225C23×Q8C2311yescharacteristic
226C23×D4—44no—
227C23×D4—44no—
228C23×D4—44no—
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2318yes—
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C23×D4C2311yescharacteristic
249C23×D4C2311yescharacteristic
250C23×D4C2311yescharacteristic
251C23×D4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259C24×C4C2311yescharacteristic
260C2×#126—44no—
261C2×#126—44no—
262C2×#126C2318yescomplemented
263C2×#126C2318yescomplemented
264C2×#123—44no—
265C2×#123—44no—
266C2×#123—44no—
267C2×#123—44no—
268C2×#123C2318yes—
269C2×#123C2318yes—
270C2×#123C2318yescomplemented
271C2×#123C2318yescomplemented
272C2×#121—44no—
273C2×#121—44no—
274C2×#121—44no—
275C2×#121—44no—
276C2×#121—44no—
277C2×#121—44no—
278C2×#121—44no—
279C2×#121—44no—
280C2×#121—44no—
281C2×#121C2318yes—
282C2×#121C2318yes—
283C2×#121C2318yes—
284C2×#121C2318yes—
285C2×#121C2318yes—
286C2×#121C2318yescomplemented
287C2×#121C2318yescomplemented
288C2×#121C2318yescomplemented
289C2×#121C2318yescomplemented
290C2×#120—44no—
291C2×#120—44no—
292C2×#120—44no—
293C2×#120—44no—
294C2×#120—44no—
295C2×#120—44no—
296C2×#120C2318yes—
297C2×#120C2318yes—
298C2×#120C2318yes—
299C2×#120C2318yes—
300C2×#120C2318yes—
301C2×#120C2318yes—
302C2×C4×D4—44no—
303C2×C4×D4—44no—
304C2×C4×D4C2318yes—
305C2×C4×D4C2318yescomplemented
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C4⋊C4C2311yescharacteristic
326C22×C4⋊C4C2311yescharacteristic
327C22×C22⋊C4—44no—
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2311yescharacteristic
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2318yes—
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396#400C2318yescomplemented
397#400C2318yescomplemented
398#399C2318yescomplemented
399#398C2318yescomplemented
400#398C2318yescomplemented
401#398C2318yescomplemented
402#397C2318yes—
403#397C2318yes—
404#397C2318yescomplemented
405#397C2318yescomplemented
406#397C2318yescomplemented
407#397C2318yescomplemented
408#397C2318yescomplemented
409#397C2318yescomplemented
410#397C2318yescomplemented
411#397C2318yescomplemented
412#397C2318yescomplemented
413#397C2318yescomplemented
414#397C2318yescomplemented
415#396C2318yes—
416#396C2318yescomplemented
417#396C2318yescomplemented
418#396C2318yescomplemented
419#396C2318yescomplemented
420#395C2318yescomplemented
421#394C2318yes—
422#394C2318yes—
423#394C2318yes—
424#394C2318yes—
425#394C2318yes—
426#394C2318yes—
427#394C2318yes—
428#394C2318yes—
429#394C2318yes—
430#394C2318yes—
431#394C2318yescomplemented
432#394C2318yescomplemented
433#394C2318yescomplemented
434#394C2318yescomplemented
435#394C2318yescomplemented
436#394C2318yescomplemented
437#393C2318yes—
438#393C2318yescomplemented
439#393C2318yescomplemented
440#393C2318yescomplemented
441#393C2318yescomplemented
442#392C2318yes—
443#392C2318yes—
444#392C2318yes—
445#392C2318yes—
446#392C2318yes—
447#392C2318yes—
448#392C2318yes—
449#392C2318yes—
450#392C2318yes—
451#392C2318yes—
452#392C2318yescomplemented
453#392C2318yescomplemented
454#392C2318yescomplemented
455#392C2318yescomplemented
456#392C2318yescomplemented
457#392C2318yescomplemented
458#392C2318yescomplemented
459#392C2318yescomplemented
460#390C2318yes—
461#390C2318yes—
462#390C2318yes—
463#390C2318yescomplemented
464#390C2318yescomplemented
465#390C2318yescomplemented
466#390C2318yescomplemented
467#390C2318yescomplemented
468#390C2318yescomplemented
469#390C2318yescomplemented
470#389C2318yescomplemented
471#388C2318yes—
472#388C2318yes—
473#388C2318yes—
474#388C2318yescomplemented
475#388C2318yescomplemented
476#388C2318yescomplemented
477#388C2318yescomplemented
478#388C2318yescomplemented
479#388C2318yescomplemented
480#388C2318yescomplemented
481#388C2318yescomplemented
482#388C2318yescomplemented
483#387C2318yescomplemented
484#387C2318yescomplemented
485#387C2318yescomplemented
486#387C2318yescomplemented
487#387C2318yescomplemented
488#386C2318yes—
489#386C2318yes—
490#386C2318yes—
491#386C2318yes—
492#386C2318yes—
493#386C2318yescomplemented
494#386C2318yescomplemented
495#386C2318yescomplemented
496#386C2318yescomplemented
497#386C2318yescomplemented
498#386C2318yescomplemented
499#386C2318yescomplemented
500#386C2318yescomplemented
501#386C2318yescomplemented
502#386C2318yescomplemented
503#386C2318yescomplemented
504#385C2318yes—
505#385C2318yescomplemented
506#385C2318yescomplemented
507#385C2318yescomplemented
508#385C2318yescomplemented
509#385C2318yescomplemented
510#383C2318yescomplemented
511#381C2318yes—
512#381C2318yescomplemented
513#381C2318yescomplemented
514#380C2318yes—
515#380C2318yescomplemented
516#380C2318yescomplemented
517#380C2318yescomplemented
518#379C2318yes—
519#379C2318yes—
520#379C2318yes—
521#379C2318yes—
522#379C2318yes—
523C4×C22⋊C4C2318yescomplemented
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2318yescomplemented
559C25—24no—
560C25—24no—
561C25—24no—
562C25—42no—
563C25—42no—
564C25—42no—
565C25—42no—
566C25—42no—
567C25—42no—
568C25—42no—
569C25—42no—
570C25—42no—
571C25—42no—
572C25—42no—
573C25C2411yescharacteristic
574C25C2411yescharacteristic
575C25C2411yescharacteristic
576C25C2411yescharacteristic
577C25C2411yescharacteristic
578C25C2411yescharacteristic
579C25C2411yescharacteristic
580C25C2411yescharacteristic
581C25C2414yes—
582C25C2414yes—
583C2×#41—416no—
584C2×#41—416no—
585C2×#41—416no—
586C2×#41—464no—
587C22×Q8—42no—
588C22×Q8—42no—
589C22×Q8—42no—
590C22×Q8C2414yes—
591C22×D4—24no—
592C22×D4—24no—
593C22×D4—24no—
594C22×D4—24no—
595C22×D4—24no—
596C22×D4—24no—
597C22×D4—24no—
598C22×D4—24no—
599C22×D4—24no—
600C22×D4—24no—
601C22×D4—24no—
602C22×D4—24no—
603C22×D4—24no—
604C22×D4—24no—
605C22×D4—24no—
606C22×D4—24no—
607C22×D4—24no—
608C22×D4—24no—
609C22×D4—416no—
610C22×D4—42no—
611C22×D4—42no—
612C22×D4—42no—
613C22×D4—42no—
614C22×D4—42no—
615C22×D4—42no—
616C22×D4—42no—
617C22×D4—42no—
618C22×D4—42no—
619C22×D4—416no—
620C22×D4—42no—
621C22×D4—42no—
622C22×D4—42no—
623C22×D4—42no—
624C22×D4—42no—
625C22×D4—42no—
626C22×D4—42no—
627C22×D4—42no—
628C22×D4—42no—
629C22×D4—42no—
630C22×D4—42no—
631C22×D4—42no—
632C22×D4—42no—
633C22×D4—42no—
634C22×D4—42no—
635C22×D4—42no—
636C22×D4—42no—
637C22×D4—42no—
638C22×D4—42no—
639C22×D4—42no—
640C22×D4—42no—
641C22×D4—42no—
642C22×D4—42no—
643C22×D4—42no—
644C22×D4—42no—
645C22×D4—42no—
646C22×D4—42no—
647C22×D4—42no—
648C22×D4—42no—
649C22×D4—42no—
650C22×D4—42no—
651C22×D4—42no—
652C22×D4—42no—
653C22×D4—42no—
654C22×D4—42no—
655C22×D4—42no—
656C22×D4—42no—
657C22×D4—42no—
658C22×D4—42no—
659C22×D4—416no—
660C22×D4—464no—
661C22×D4C2414yes—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2414yes—
668C22×D4C2414yes—
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2414yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C22×D4C2414yes—
682C22×D4C2414yes—
683C23×C4—24no—
684C23×C4—24no—
685C23×C4—24no—
686C23×C4—24no—
687C23×C4—24no—
688C23×C4—24no—
689C23×C4—24no—
690C23×C4—24no—
691C23×C4—24no—
692C23×C4—42no—
693C23×C4—42no—
694C23×C4—42no—
695C23×C4—42no—
696C23×C4—42no—
697C23×C4—42no—
698C23×C4—42no—
699C23×C4—42no—
700C23×C4—42no—
701C23×C4—42no—
702C23×C4—42no—
703C23×C4—42no—
704C23×C4—42no—
705C23×C4—42no—
706C23×C4—42no—
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2414yes—
729C23×C4C2414yes—
730C23×C4C2414yes—
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2414yes—
734C23×C4C2414yes—
735C23×C4C2414yes—
736C23×C4C2414yes—
737C23×C4C2414yes—
738#126—416no—
739#126—416no—
740#123—416no—
741#123—416no—
742#123—416no—
743#123—416no—
744#121—416no—
745#121—416no—
746#121—416no—
747#121—416no—
748#121—416no—
749#121—416no—
750#121—416no—
751#121—416no—
752#121—416no—
753#120—416no—
754#120—416no—
755#120—416no—
756#120—416no—
757#120—416no—
758#120—416no—
759C4×D4—416no—
760C4×D4—416no—
761C2×C4⋊C4—24no—
762C2×C4⋊C4—24no—
763C2×C4⋊C4—24no—
764C2×C4⋊C4—24no—
765C2×C4⋊C4—24no—
766C2×C4⋊C4—42no—
767C2×C4⋊C4—42no—
768C2×C4⋊C4—42no—
769C2×C4⋊C4—42no—
770C2×C4⋊C4—42no—
771C2×C4⋊C4—42no—
772C2×C4⋊C4—42no—
773C2×C4⋊C4—42no—
774C2×C4⋊C4—42no—
775C2×C4⋊C4—42no—
776C2×C4⋊C4—42no—
777C2×C4⋊C4—42no—
778C2×C4⋊C4—42no—
779C2×C4⋊C4—42no—
780C2×C4⋊C4—42no—
781C2×C4⋊C4—42no—
782C2×C4⋊C4C2414yes—
783C2×C4⋊C4C2414yes—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2414yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C22⋊C4—24no—
804C2×C22⋊C4—24no—
805C2×C22⋊C4—24no—
806C2×C22⋊C4—24no—
807C2×C22⋊C4—24no—
808C2×C22⋊C4—24no—
809C2×C22⋊C4—24no—
810C2×C22⋊C4—24no—
811C2×C22⋊C4—24no—
812C2×C22⋊C4—24no—
813C2×C22⋊C4—416no—
814C2×C22⋊C4—42no—
815C2×C22⋊C4—42no—
816C2×C22⋊C4—42no—
817C2×C22⋊C4—42no—
818C2×C22⋊C4—42no—
819C2×C22⋊C4—42no—
820C2×C22⋊C4—42no—
821C2×C22⋊C4—42no—
822C2×C22⋊C4—42no—
823C2×C22⋊C4—42no—
824C2×C22⋊C4—42no—
825C2×C22⋊C4—42no—
826C2×C22⋊C4—42no—
827C2×C22⋊C4—42no—
828C2×C22⋊C4—42no—
829C2×C22⋊C4—42no—
830C2×C22⋊C4—42no—
831C2×C22⋊C4—42no—
832C2×C22⋊C4—42no—
833C2×C22⋊C4—42no—
834C2×C22⋊C4—42no—
835C2×C22⋊C4—42no—
836C2×C22⋊C4—42no—
837C2×C22⋊C4—42no—
838C2×C22⋊C4—42no—
839C2×C22⋊C4—42no—
840C2×C22⋊C4—42no—
841C2×C22⋊C4—42no—
842C2×C22⋊C4—42no—
843C2×C22⋊C4—42no—
844C2×C22⋊C4—42no—
845C2×C22⋊C4—42no—
846C2×C22⋊C4—42no—
847C2×C22⋊C4—42no—
848C2×C22⋊C4—42no—
849C2×C22⋊C4—42no—
850C2×C22⋊C4—42no—
851C2×C22⋊C4—42no—
852C2×C22⋊C4—42no—
853C2×C22⋊C4—42no—
854C2×C22⋊C4—42no—
855C2×C22⋊C4—42no—
856C2×C22⋊C4—42no—
857C2×C22⋊C4—42no—
858C2×C22⋊C4—42no—
859C2×C22⋊C4—42no—
860C2×C22⋊C4—42no—
861C2×C22⋊C4—42no—
862C2×C22⋊C4—42no—
863C2×C22⋊C4—42no—
864C2×C22⋊C4—42no—
865C2×C22⋊C4—42no—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C42—42no—
929C2×C42—42no—
930C2×C42—42no—
931C2×C42—42no—
932C2×C42—42no—
933C2×C42C2414yes—
934C2×C42C2414yes—
935C2×C42C2414yes—
936C2×C42C2414yes—
937C2×C42C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972C24—22no—
973C24—22no—
974C24—22no—
975C24—22no—
976C24—22no—
977C24—22no—
978C24—22no—
979C24—22no—
980C24—22no—
981C24—22no—
982C24—22no—
983C24—22no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—22no—
989C24—22no—
990C24—22no—
991C24—22no—
992C24—22no—
993C24—22no—
994C24—22no—
995C24—22no—
996C24—22no—
997C24—22no—
998C24—22no—
999C24—22no—
1000C24—22no—
1001C24—22no—
1002C24—22no—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—22no—
1007C24—22no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—22no—
1013C24—22no—
1014C24—22no—
1015C24—22no—
1016C24—22no—
1017C24—22no—
1018C24—22no—
1019C24—22no—
1020C24—22no—
1021C24—22no—
1022C24—22no—
1023C24—22no—
1024C24—22no—
1025C24—28no—
1026C24—28no—
1027C24—28no—
1028C24—44no—
1029C24—44no—
1030C24—44no—
1031C24—44no—
1032C24—44no—
1033C24—44no—
1034C24—44no—
1035C24—44no—
1036C24—44no—
1037C24—44no—
1038C24—44no—
1039C24—416no—
1040C24—416no—
1041C24—416no—
1042C24—88no—
1043C24—88no—
1044C24—88no—
1045C24—88no—
1046C24—88no—
1047C24—88no—
1048C24—88no—
1049C24—88no—
1050C24—88no—
1051C24—88no—
1052C24—88no—
1053C24H(5,𝔽2)14yes—
1054C24H(5,𝔽2)14yes—
1055C24H(5,𝔽2)14yes—
1056C24C2512yes—
1057C24C2512yes—
1058C24C2512yes—
1059C24C2512yes—
1060C24C2512yes—
1061C24C2512yes—
1062C24C2512yes—
1063C24C2512yes—
1064C24C2511yescharacteristic
1065#41—4128no—
1066C2×Q8—44no—
1067C2×Q8—44no—
1068C2×Q8—44no—
1069C2×Q8—416no—
1070C2×D4—28no—
1071C2×D4—28no—
1072C2×D4—28no—
1073C2×D4—28no—
1074C2×D4—28no—
1075C2×D4—28no—
1076C2×D4—28no—
1077C2×D4—28no—
1078C2×D4—28no—
1079C2×D4—28no—
1080C2×D4—28no—
1081C2×D4—28no—
1082C2×D4—28no—
1083C2×D4—28no—
1084C2×D4—28no—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—28no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—416no—
1105C2×D4—416no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—416no—
1139C2×D4—416no—
1140C2×D4—416no—
1141C2×D4—416no—
1142C2×D4—416no—
1143C2×D4—416no—
1144C2×D4—4128no—
1145C2×D4—416no—
1146C2×D4—88no—
1147C2×D4—88no—
1148C2×D4—88no—
1149C2×D4—88no—
1150C2×D4—88no—
1151C2×D4—88no—
1152C2×D4—88no—
1153C2×D4—88no—
1154C2×D4—88no—
1155C2×D4—88no—
1156C2×D4—88no—
1157C2×D4—88no—
1158C2×D4—88no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—28no—
1213C22×C4—28no—
1214C22×C4—28no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—28no—
1230C22×C4—28no—
1231C22×C4—28no—
1232C22×C4—28no—
1233C22×C4—28no—
1234C22×C4—28no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—416no—
1251C22×C4—416no—
1252C22×C4—416no—
1253C22×C4—416no—
1254C22×C4—88no—
1255C22×C4—88no—
1256C22×C4—88no—
1257C22×C4—88no—
1258C22×C4H(5,𝔽2)14yes—
1259C22×C4H(5,𝔽2)14yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—28no—
1390C23—28no—
1391C23—28no—
1392C23—28no—
1393C23—28no—
1394C23—28no—
1395C23—28no—
1396C23—28no—
1397C23—28no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—416no—
1434C23—416no—
1435C23—416no—
1436C23—44no—
1437C23—44no—
1438C23—44no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—44no—
1449C23—44no—
1450C23—44no—
1451C23—44no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—88no—
1484C23—88no—
1485C23—88no—
1486C23—88no—
1487C23—88no—
1488C23—88no—
1489C23—88no—
1490C23—88no—
1491C23—88no—
1492C23—88no—
1493C23—88no—
1494C23—864no—
1495C23—864no—
1496C23C2×H(5,𝔽2)14yes—
1497C23C2×H(5,𝔽2)14yes—
1498C23C2×H(5,𝔽2)14yes—
1499C23C2×H(5,𝔽2)12yes—
1500C23C2×H(5,𝔽2)12yes—
1501C23C2×H(5,𝔽2)12yes—
1502C23C2×H(5,𝔽2)12yes—
1503C23C2×H(5,𝔽2)12yes—
1504C23#58512yes—
1505C23#58512yes—
1506C23C2611yescharacteristic
1507Q8—416no—
1508D4—416no—
1509D4—416no—
1510D4—416no—
1511D4—416no—
1512D4—416no—
1513D4—416no—
1514D4—416no—
1515D4—416no—
1516D4—416no—
1517D4—88no—
1518D4—88no—
1519D4—88no—
1520D4—88no—
1521D4—88no—
1522D4—88no—
1523D4—88no—
1524D4—88no—
1525D4—88no—
1526D4—88no—
1527D4—88no—
1528D4—88no—
1529D4—88no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—28no—
1535C2×C4—28no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—416no—
1600C2×C4—416no—
1601C2×C4—416no—
1602C2×C4—416no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—88no—
1625C2×C4—88no—
1626C2×C4—88no—
1627C2×C4—88no—
1628C2×C4C2×H(5,𝔽2)14yes—
1629C2×C4C2×H(5,𝔽2)14yes—
1630C22—24no—
1631C22—24no—
1632C22—24no—
1633C22—24no—
1634C22—24no—
1635C22—24no—
1636C22—24no—
1637C22—24no—
1638C22—24no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—416no—
1646C22—416no—
1647C22—416no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—832no—
1690C22—832no—
1691C22—88no—
1692C22—88no—
1693C22—88no—
1694C22—88no—
1695C22—88no—
1696C22#353214yes—
1697C22#353214yes—
1698C22#353414yes—
1699C22#354214yes—
1700C22#354214yes—
1701C22#354614yes—
1702C22#356014yes—
1703C22C22×H(5,𝔽2)11yescharacteristic
1704C22C22×H(5,𝔽2)11yescharacteristic
1705C22C22×H(5,𝔽2)11yescharacteristic
1706C22C22×H(5,𝔽2)11yescharacteristic
1707C22C22×H(5,𝔽2)11yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22C2×#58511yescharacteristic
1710C4—24no—
1711C4—24no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C2—44no—
1734C2—44no—
1735C2—44no—
1736C2—82no—
1737C2—82no—
1738C2—82no—
1739C2—82no—
1740C2—82no—
1741C2#5393718yesdirect product factor
1742C2C2×#353211yescharacteristic
1743C2C2×#353211yescharacteristic
1744C2C2×#354211yescharacteristic
1745C2C2×#354211yescharacteristic
1746C2C2×#353411yescharacteristic
1747C2C2×#356011yescharacteristic
1748C2C2×#354611yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53937C2direct (N × H)
2. C2×#2756C2semidirect
3. C2×#2749C2semidirect
4. C2×#2740C2semidirect
5. C2×#2737C2semidirect
6. C2×#2736C2semidirect
7. C2×#2714C2semidirect
8. C2×#2714C2semidirect
9. C2×#2714C2semidirect
10. C2×#2705C2semidirect
11. C2×#2701C2semidirect
12. C2×#2695C2semidirect
13. C2×#2678C2semidirect
14. C2×#2678C2semidirect
15. C2×#2678C2semidirect
16. C2×#2678C2semidirect
17. C2×#2668C2semidirect
18. C2×#2830C2semidirect
19. C2×#2824C2semidirect
20. C2×#2815C2semidirect
21. C2×#2543C2semidirect
22. C2×#2430C2semidirect
23. C2×#2404C2semidirect
24. C2×#2464C2semidirect
25. C2×#2408C2semidirect
26. C2×#2419C2semidirect
27. C2×#2480C2semidirect
28. C2×#2456C2semidirect
29. C2×#2410C2semidirect
30. C2×#2615C2semidirect
31. C2×#2648C2semidirect
32. C2×#2613C2semidirect
33. C23×#41C22semidirect
35. C22×#126C22semidirect
36. C22×#126C22semidirect
39. C22×#123C22semidirect
40. C22×#123C22semidirect
46. C22×#121C22semidirect
47. C22×#121C22semidirect
48. C22×#121C22semidirect
49. C22×#121C22semidirect
57. C22×C4×D4C22semidirect
59. #2830C22semidirect
60. #2824C22semidirect
61. #2815C22semidirect
62. #2756C22semidirect
63. #2749C22semidirect
64. #2740C22semidirect
65. #2737C22semidirect
66. #2736C22semidirect
67. #2714C22semidirect
68. #2714C22semidirect
69. #2714C22semidirect
70. #2705C22semidirect
71. #2701C22semidirect
72. #2695C22semidirect
73. #2678C22semidirect
74. #2678C22semidirect
75. #2678C22semidirect
76. #2678C22semidirect
77. #2668C22semidirect
78. #2648C22semidirect
79. #2615C22semidirect
80. #2613C22semidirect
81. #2543C22semidirect
82. #2480C22semidirect
83. #2464C22semidirect
84. #2456C22semidirect
85. #2430C22semidirect
86. #2419C22semidirect
87. #2410C22semidirect
88. #2408C22semidirect
89. #2404C22semidirect
90. C2×#400C22semidirect
91. C2×#400C22semidirect
92. C2×#399C22semidirect
93. C2×#398C22semidirect
94. C2×#398C22semidirect
95. C2×#398C22semidirect
98. C2×#397C22semidirect
99. C2×#397C22semidirect
100. C2×#397C22semidirect
101. C2×#397C22semidirect
102. C2×#397C22semidirect
103. C2×#397C22semidirect
104. C2×#397C22semidirect
105. C2×#397C22semidirect
106. C2×#397C22semidirect
107. C2×#397C22semidirect
108. C2×#397C22semidirect
110. C2×#396C22semidirect
111. C2×#396C22semidirect
112. C2×#396C22semidirect
113. C2×#396C22semidirect
114. C2×#395C22semidirect
125. C2×#394C22semidirect
126. C2×#394C22semidirect
127. C2×#394C22semidirect
128. C2×#394C22semidirect
129. C2×#394C22semidirect
130. C2×#394C22semidirect
132. C2×#393C22semidirect
133. C2×#393C22semidirect
134. C2×#393C22semidirect
135. C2×#393C22semidirect
146. C2×#392C22semidirect
147. C2×#392C22semidirect
148. C2×#392C22semidirect
149. C2×#392C22semidirect
150. C2×#392C22semidirect
151. C2×#392C22semidirect
152. C2×#392C22semidirect
153. C2×#392C22semidirect
157. C2×#390C22semidirect
158. C2×#390C22semidirect
159. C2×#390C22semidirect
160. C2×#390C22semidirect
161. C2×#390C22semidirect
162. C2×#390C22semidirect
163. C2×#390C22semidirect
164. C2×#389C22semidirect
168. C2×#388C22semidirect
169. C2×#388C22semidirect
170. C2×#388C22semidirect
171. C2×#388C22semidirect
172. C2×#388C22semidirect
173. C2×#388C22semidirect
174. C2×#388C22semidirect
175. C2×#388C22semidirect
176. C2×#388C22semidirect
177. C2×#387C22semidirect
178. C2×#387C22semidirect
179. C2×#387C22semidirect
180. C2×#387C22semidirect
181. C2×#387C22semidirect
187. C2×#386C22semidirect
188. C2×#386C22semidirect
189. C2×#386C22semidirect
190. C2×#386C22semidirect
191. C2×#386C22semidirect
192. C2×#386C22semidirect
193. C2×#386C22semidirect
194. C2×#386C22semidirect
195. C2×#386C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#383C22semidirect
206. C2×#381C22semidirect
207. C2×#381C22semidirect
209. C2×#380C22semidirect
210. C2×#380C22semidirect
211. C2×#380C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C22×#95C22semidirect
224. C22×#41C23semidirect
262. C2×#126C23semidirect
263. C2×#126C23semidirect
270. C2×#123C23semidirect
271. C2×#123C23semidirect
286. C2×#121C23semidirect
287. C2×#121C23semidirect
288. C2×#121C23semidirect
289. C2×#121C23semidirect
305. C2×C4×D4C23semidirect
396. #400C23semidirect
397. #400C23semidirect
398. #399C23semidirect
399. #398C23semidirect
400. #398C23semidirect
401. #398C23semidirect
404. #397C23semidirect
405. #397C23semidirect
406. #397C23semidirect
407. #397C23semidirect
408. #397C23semidirect
409. #397C23semidirect
410. #397C23semidirect
411. #397C23semidirect
412. #397C23semidirect
413. #397C23semidirect
414. #397C23semidirect
416. #396C23semidirect
417. #396C23semidirect
418. #396C23semidirect
419. #396C23semidirect
420. #395C23semidirect
431. #394C23semidirect
432. #394C23semidirect
433. #394C23semidirect
434. #394C23semidirect
435. #394C23semidirect
436. #394C23semidirect
438. #393C23semidirect
439. #393C23semidirect
440. #393C23semidirect
441. #393C23semidirect
452. #392C23semidirect
453. #392C23semidirect
454. #392C23semidirect
455. #392C23semidirect
456. #392C23semidirect
457. #392C23semidirect
458. #392C23semidirect
459. #392C23semidirect
463. #390C23semidirect
464. #390C23semidirect
465. #390C23semidirect
466. #390C23semidirect
467. #390C23semidirect
468. #390C23semidirect
469. #390C23semidirect
470. #389C23semidirect
474. #388C23semidirect
475. #388C23semidirect
476. #388C23semidirect
477. #388C23semidirect
478. #388C23semidirect
479. #388C23semidirect
480. #388C23semidirect
481. #388C23semidirect
482. #388C23semidirect
483. #387C23semidirect
484. #387C23semidirect
485. #387C23semidirect
486. #387C23semidirect
487. #387C23semidirect
493. #386C23semidirect
494. #386C23semidirect
495. #386C23semidirect
496. #386C23semidirect
497. #386C23semidirect
498. #386C23semidirect
499. #386C23semidirect
500. #386C23semidirect
501. #386C23semidirect
502. #386C23semidirect
503. #386C23semidirect
505. #385C23semidirect
506. #385C23semidirect
507. #385C23semidirect
508. #385C23semidirect
509. #385C23semidirect
510. #383C23semidirect
512. #381C23semidirect
513. #381C23semidirect
515. #380C23semidirect
516. #380C23semidirect
517. #380C23semidirect
523. C4×C22⋊C4C23semidirect
558. C2×#95C23semidirect
1741. C2#53937direct (N × H)

Maximal subgroups

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

subgroupindex
#539372
C2×#27562
C2×#27492
C2×#27402
C2×#27372
C2×#27362
C2×#27142
C2×#27052
C2×#27012
C2×#26952
C2×#26782
C2×#26682
C2×#28302
C2×#28242
C2×#28152
C2×#25432
C2×#24302
C2×#24042
C2×#24642
C2×#24082
C2×#24192
C2×#24802
C2×#24562
C2×#24102
C2×#26152
C2×#26482
C2×#26132