Finite Group Databasebeta

← C2×#52345 #8092052

Subgroups — C2×#52345 #8092052

Order 512.

7882 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52345C2132yesmaximal, direct product factor
2C2×#2803C211yesmaximal, characteristic, complemented
3C2×#2797C211yesmaximal, characteristic, complemented
4C2×#2796C211yesmaximal, characteristic, complemented
5C2×#2714C211yesmaximal, characteristic, complemented
6C2×#2691C211yesmaximal, characteristic, complemented
7C2×#2685C211yesmaximal, characteristic, complemented
8C2×#2685C211yesmaximal, characteristic, complemented
9C2×#2678C211yesmaximal, characteristic, complemented
10C2×#2828C211yesmaximal, characteristic, complemented
11C2×#2828C211yesmaximal, characteristic, complemented
12C2×#2829C211yesmaximal, characteristic, complemented
13C2×#2829C211yesmaximal, characteristic, complemented
14C2×#2829C211yesmaximal, characteristic, complemented
15C2×#2827C211yesmaximal, characteristic, complemented
16C2×#2813C211yesmaximal, characteristic, complemented
17C2×#2812C211yesmaximal, characteristic, complemented
18C2×#2539C211yesmaximal, characteristic, complemented
19C2×#2498C211yesmaximal, characteristic, complemented
20C2×#2411C211yesmaximal, characteristic, complemented
21C2×#2411C211yesmaximal, characteristic, complemented
22C2×#2408C211yesmaximal, characteristic, complemented
23C2×#2425C211yesmaximal, characteristic, complemented
24C2×#2481C211yesmaximal, characteristic, complemented
25C2×#2480C211yesmaximal, characteristic, complemented
26C2×#2405C211yesmaximal, characteristic, complemented
27C2×#2443C211yesmaximal, characteristic, complemented
28C2×#2410C211yesmaximal, characteristic, complemented
29C2×#2403C211yesmaximal, characteristic, complemented
30C2×#2622C211yesmaximal, characteristic, complemented
31C2×#2617C211yesmaximal, characteristic, complemented
32C22×#394C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
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, complemented
45C22×#120C2211yescharacteristic
46C22×#120C2211yescharacteristic
47C22×#120C2211yescharacteristic
48C22×#120C2211yescharacteristic
49C22×#120C2211yescharacteristic
50C22×#120C2211yescharacteristic, complemented
51C22×#120C2211yescharacteristic, complemented
52C22×C4×D4C2211yescharacteristic, complemented
53C22×#117C2211yescharacteristic, complemented
54C23×C4⋊C4C2211yescharacteristic, complemented
55C23×C22⋊C4C2211yescharacteristic
56C23×C22⋊C4C2211yescharacteristic
57C23×C22⋊C4C2211yescharacteristic, complemented
58C23×C22⋊C4C2211yescharacteristic, complemented
59#2829C22116yescomplemented
60#2829C22116yescomplemented
61#2829C22116yescomplemented
62#2828C22116yescomplemented
63#2828C22116yescomplemented
64#2827C22116yescomplemented
65#2813C22116yescomplemented
66#2812C22116yescomplemented
67#2803C22116yescomplemented
68#2797C22116yescomplemented
69#2796C22116yescomplemented
70#2714C22116yescomplemented
71#2691C22116yescomplemented
72#2685C22116yescomplemented
73#2685C22116yescomplemented
74#2678C22116yescomplemented
75#2622C22116yescomplemented
76#2617C22116yescomplemented
77#2539C22116yescomplemented
78#2498C22116yescomplemented
79#2481C22116yescomplemented
80#2480C22116yescomplemented
81#2443C22116yescomplemented
82#2425C22116yescomplemented
83#2411C22116yescomplemented
84#2411C22116yescomplemented
85#2410C22116yescomplemented
86#2408C22116yescomplemented
87#2405C22116yescomplemented
88#2403C22116yescomplemented
89C2×#400C2211yescharacteristic, complemented
90C2×#400C2211yescharacteristic, complemented
91C2×#400C2211yescharacteristic, complemented
92C2×#399C2211yescharacteristic, complemented
93C2×#399C2211yescharacteristic, complemented
94C2×#399C2211yescharacteristic, complemented
95C2×#399C2211yescharacteristic, complemented
96C2×#398C2211yescharacteristic, complemented
97C2×#398C2211yescharacteristic, complemented
98C2×#398C2211yescharacteristic, 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×#397C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic, complemented
111C2×#397C2211yescharacteristic, complemented
112C2×#396C2211yescharacteristic, complemented
113C2×#396C2211yescharacteristic, complemented
114C2×#396C2211yescharacteristic, complemented
115C2×#396C2211yescharacteristic, complemented
116C2×#396C2211yescharacteristic, complemented
117C2×#396C2211yescharacteristic, complemented
118C2×#396C2211yescharacteristic, complemented
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic, complemented
125C2×#394C2211yescharacteristic, complemented
126C2×#394C2211yescharacteristic, complemented
127C2×#394C2211yescharacteristic, complemented
128C2×#394C2211yescharacteristic, complemented
129C2×#394C2211yescharacteristic, complemented
130C2×#394C2211yescharacteristic, complemented
131C2×#394C2211yescharacteristic, complemented
132C2×#394C2211yescharacteristic, complemented
133C2×#394C2211yescharacteristic, complemented
134C2×#394C2211yescharacteristic, complemented
135C2×#394C2211yescharacteristic, complemented
136C2×#394C2211yescharacteristic, complemented
137C2×#394C2211yescharacteristic, complemented
138C2×#394C2211yescharacteristic, complemented
139C2×#394C2211yescharacteristic, complemented
140C2×#394C2211yescharacteristic, complemented
141C2×#394C2211yescharacteristic, complemented
142C2×#394C2211yescharacteristic, complemented
143C2×#394C2211yescharacteristic, complemented
144C2×#394C2211yescharacteristic, complemented
145C2×#394C2211yescharacteristic, complemented
146C2×#394C2211yescharacteristic, complemented
147C2×#394C2211yescharacteristic, complemented
148C2×#394C2211yescharacteristic, complemented
149C2×#394C22116yescomplemented
150C2×#392C2211yescharacteristic
151C2×#392C2211yescharacteristic
152C2×#392C2211yescharacteristic
153C2×#392C2211yescharacteristic
154C2×#392C2211yescharacteristic
155C2×#392C2211yescharacteristic, complemented
156C2×#392C2211yescharacteristic, complemented
157C2×#392C2211yescharacteristic, complemented
158C2×#392C2211yescharacteristic, complemented
159C2×#392C2211yescharacteristic, complemented
160C2×#392C2211yescharacteristic, complemented
161C2×#392C2211yescharacteristic, complemented
162C2×#390C2211yescharacteristic
163C2×#390C2211yescharacteristic, complemented
164C2×#390C2211yescharacteristic, complemented
165C2×#390C2211yescharacteristic, complemented
166C2×#390C2211yescharacteristic, complemented
167C2×#390C2211yescharacteristic, complemented
168C2×#390C2211yescharacteristic, complemented
169C2×#390C2211yescharacteristic, complemented
170C2×#390C2211yescharacteristic, complemented
171C2×#390C2211yescharacteristic, complemented
172C2×#389C2211yescharacteristic, complemented
173C2×#388C2211yescharacteristic, complemented
174C2×#388C2211yescharacteristic, complemented
175C2×#388C2211yescharacteristic, complemented
176C2×#388C2211yescharacteristic, complemented
177C2×#388C2211yescharacteristic, complemented
178C2×#388C2211yescharacteristic, complemented
179C2×#388C2211yescharacteristic, complemented
180C2×#388C2211yescharacteristic, complemented
181C2×#388C2211yescharacteristic, complemented
182C2×#388C2211yescharacteristic, complemented
183C2×#388C2211yescharacteristic, complemented
184C2×#388C2211yescharacteristic, complemented
185C2×#387C2211yescharacteristic, complemented
186C2×#387C2211yescharacteristic, complemented
187C2×#387C2211yescharacteristic, complemented
188C2×#387C2211yescharacteristic, complemented
189C2×#387C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic
196C2×#386C2211yescharacteristic
197C2×#386C2211yescharacteristic
198C2×#386C2211yescharacteristic, complemented
199C2×#386C2211yescharacteristic, complemented
200C2×#386C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#385C2211yescharacteristic, complemented
207C2×#385C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic, complemented
209C2×#380C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic, complemented
211C2×#379C2211yescharacteristic
212C2×#379C2211yescharacteristic
213C2×#379C2211yescharacteristic, complemented
214C2×#379C2211yescharacteristic, complemented
215C2×#379C2211yescharacteristic, complemented
216C2×#379C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C26C2311yescharacteristic
222C23×D4—44no—
223C23×D4—44no—
224C23×D4—44no—
225C23×D4—44no—
226C23×D4—44no—
227C23×D4—44no—
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2318yes—
239C23×D4C2318yes—
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C23×D4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C2×#126—44no—
257C2×#126—44no—
258C2×#126C2318yescomplemented
259C2×#126C2318yescomplemented
260C2×#123—44no—
261C2×#123—44no—
262C2×#123—44no—
263C2×#123—44no—
264C2×#123C2318yes—
265C2×#123C2318yes—
266C2×#123C2318yescomplemented
267C2×#123C2318yescomplemented
268C2×#121—44no—
269C2×#121—44no—
270C2×#121—44no—
271C2×#121—44no—
272C2×#121C2318yes—
273C2×#121C2318yes—
274C2×#121C2318yes—
275C2×#121C2318yescomplemented
276C2×#120—44no—
277C2×#120—44no—
278C2×#120—44no—
279C2×#120—44no—
280C2×#120—44no—
281C2×#120—44no—
282C2×#120—44no—
283C2×#120C2318yes—
284C2×#120C2318yes—
285C2×#120C2318yes—
286C2×#120C2318yes—
287C2×#120C2318yes—
288C2×#120C2318yescomplemented
289C2×#120C2318yescomplemented
290C2×C4×D4—44no—
291C2×C4×D4C2318yescomplemented
292C2×#117—44no—
293C2×#117C2318yescomplemented
294C22×C4⋊C4—44no—
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
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⋊C4C2318yescomplemented
321C22×C22⋊C4—44no—
322C22×C22⋊C4—44no—
323C22×C22⋊C4—44no—
324C22×C22⋊C4—44no—
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×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⋊C4C2318yes—
389C22×C22⋊C4C2318yes—
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2318yescomplemented
394C22×C22⋊C4C2318yescomplemented
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400#400C2318yescomplemented
401#400C2318yescomplemented
402#400C2318yescomplemented
403#399C2318yescomplemented
404#399C2318yescomplemented
405#399C2318yescomplemented
406#399C2318yescomplemented
407#398C2318yescomplemented
408#398C2318yescomplemented
409#398C2318yescomplemented
410#397C2318yescomplemented
411#397C2318yescomplemented
412#397C2318yescomplemented
413#397C2318yescomplemented
414#397C2318yescomplemented
415#397C2318yescomplemented
416#397C2318yescomplemented
417#397C2318yescomplemented
418#397C2318yescomplemented
419#397C2318yescomplemented
420#397C2318yescomplemented
421#397C2318yescomplemented
422#397C2318yescomplemented
423#396C2318yescomplemented
424#396C2318yescomplemented
425#396C2318yescomplemented
426#396C2318yescomplemented
427#396C2318yescomplemented
428#396C2318yescomplemented
429#396C2318yescomplemented
430#394C2318yes—
431#394C2318yes—
432#394C2318yes—
433#394C2318yes—
434#394C2318yes—
435#394C2318yescomplemented
436#394C2318yescomplemented
437#394C2318yescomplemented
438#394C2318yescomplemented
439#394C2318yescomplemented
440#394C2318yescomplemented
441#394C2318yescomplemented
442#394C2318yescomplemented
443#394C2318yescomplemented
444#394C2318yescomplemented
445#394C2318yescomplemented
446#394C2318yescomplemented
447#394C2318yescomplemented
448#394C2318yescomplemented
449#394C2318yescomplemented
450#394C2318yescomplemented
451#394C2318yescomplemented
452#394C2318yescomplemented
453#394C2318yescomplemented
454#394C2318yescomplemented
455#394C2318yescomplemented
456#394C2318yescomplemented
457#394C2318yescomplemented
458#394C2318yescomplemented
459#394C2318yescomplemented
460#392C2318yes—
461#392C2318yes—
462#392C2318yes—
463#392C2318yes—
464#392C2318yes—
465#392C2318yescomplemented
466#392C2318yescomplemented
467#392C2318yescomplemented
468#392C2318yescomplemented
469#392C2318yescomplemented
470#392C2318yescomplemented
471#392C2318yescomplemented
472#390C2318yes—
473#390C2318yescomplemented
474#390C2318yescomplemented
475#390C2318yescomplemented
476#390C2318yescomplemented
477#390C2318yescomplemented
478#390C2318yescomplemented
479#390C2318yescomplemented
480#390C2318yescomplemented
481#390C2318yescomplemented
482#389C2318yescomplemented
483#388C2318yescomplemented
484#388C2318yescomplemented
485#388C2318yescomplemented
486#388C2318yescomplemented
487#388C2318yescomplemented
488#388C2318yescomplemented
489#388C2318yescomplemented
490#388C2318yescomplemented
491#388C2318yescomplemented
492#388C2318yescomplemented
493#388C2318yescomplemented
494#388C2318yescomplemented
495#387C2318yescomplemented
496#387C2318yescomplemented
497#387C2318yescomplemented
498#387C2318yescomplemented
499#387C2318yescomplemented
500#386C2318yes—
501#386C2318yes—
502#386C2318yes—
503#386C2318yes—
504#386C2318yes—
505#386C2318yes—
506#386C2318yes—
507#386C2318yes—
508#386C2318yescomplemented
509#386C2318yescomplemented
510#386C2318yescomplemented
511#385C2318yescomplemented
512#385C2318yescomplemented
513#385C2318yescomplemented
514#385C2318yescomplemented
515#385C2318yescomplemented
516#385C2318yescomplemented
517#385C2318yescomplemented
518#380C2318yescomplemented
519#380C2318yescomplemented
520#380C2318yescomplemented
521#379C2318yes—
522#379C2318yes—
523#379C2318yescomplemented
524#379C2318yescomplemented
525#379C2318yescomplemented
526#379C2318yescomplemented
527C4×C22⋊C4C2318yescomplemented
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—24no—
563C25—24no—
564C25—24no—
565C25—24no—
566C25—24no—
567C25—42no—
568C25—42no—
569C25—42no—
570C25—42no—
571C25—42no—
572C25—42no—
573C25—42no—
574C25—42no—
575C25—42no—
576C25—42no—
577C25—42no—
578C25—42no—
579C25—42no—
580C25C2411yescharacteristic
581C25C2411yescharacteristic
582C25C2411yescharacteristic
583C25C2411yescharacteristic
584C25C2411yescharacteristic
585C25C2411yescharacteristic
586C25C2411yescharacteristic
587C25C2414yes—
588C25C2411yescharacteristic
589C25C2414yes—
590C25C2414yes—
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—416no—
606C22×D4—42no—
607C22×D4—42no—
608C22×D4—42no—
609C22×D4—42no—
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—42no—
620C22×D4—416no—
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—416no—
651C22×D4—416no—
652C22×D4—416no—
653C22×D4—416no—
654C22×D4—464no—
655C22×D4—464no—
656C22×D4C2414yes—
657C22×D4C2414yes—
658C22×D4C2414yes—
659C22×D4C2414yes—
660C22×D4C2414yes—
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—
675C23×C4—24no—
676C23×C4—24no—
677C23×C4—24no—
678C23×C4—24no—
679C23×C4—24no—
680C23×C4—24no—
681C23×C4—24no—
682C23×C4—24no—
683C23×C4—24no—
684C23×C4—42no—
685C23×C4—42no—
686C23×C4—42no—
687C23×C4—42no—
688C23×C4—42no—
689C23×C4—42no—
690C23×C4—42no—
691C23×C4—42no—
692C23×C4—42no—
693C23×C4—42no—
694C23×C4—42no—
695C23×C4—42no—
696C23×C4C2414yes—
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701C23×C4C2411yescharacteristic
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
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×C4C2414yes—
720C23×C4C2411yescharacteristic
721C23×C4C2414yes—
722C23×C4C2414yes—
723C23×C4C2414yes—
724C23×C4C2414yes—
725C23×C4C2414yes—
726#126—416no—
727#126—416no—
728#123—416no—
729#123—416no—
730#123—416no—
731#123—416no—
732#121—416no—
733#121—416no—
734#121—416no—
735#121—416no—
736#120—416no—
737#120—416no—
738#120—416no—
739#120—416no—
740#120—416no—
741#120—416no—
742#120—416no—
743C4×D4—416no—
744#117—416no—
745C2×C4⋊C4—24no—
746C2×C4⋊C4—24no—
747C2×C4⋊C4—24no—
748C2×C4⋊C4—416no—
749C2×C4⋊C4—42no—
750C2×C4⋊C4—42no—
751C2×C4⋊C4—42no—
752C2×C4⋊C4—42no—
753C2×C4⋊C4—42no—
754C2×C4⋊C4—42no—
755C2×C4⋊C4—42no—
756C2×C4⋊C4—42no—
757C2×C4⋊C4—42no—
758C2×C4⋊C4—42no—
759C2×C4⋊C4—42no—
760C2×C4⋊C4—42no—
761C2×C4⋊C4—42no—
762C2×C4⋊C4—42no—
763C2×C4⋊C4—42no—
764C2×C4⋊C4—42no—
765C2×C4⋊C4—42no—
766C2×C4⋊C4—42no—
767C2×C4⋊C4—42no—
768C2×C4⋊C4—42no—
769C2×C4⋊C4—42no—
770C2×C4⋊C4—42no—
771C2×C4⋊C4C2414yes—
772C2×C4⋊C4C2414yes—
773C2×C4⋊C4C2414yes—
774C2×C4⋊C4C2414yes—
775C2×C4⋊C4C2414yes—
776C2×C4⋊C4C2414yes—
777C2×C4⋊C4C2414yes—
778C2×C4⋊C4C2414yes—
779C2×C4⋊C4C2414yes—
780C2×C4⋊C4C2414yes—
781C2×C4⋊C4C2414yes—
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×C22⋊C4—24no—
797C2×C22⋊C4—24no—
798C2×C22⋊C4—24no—
799C2×C22⋊C4—24no—
800C2×C22⋊C4—24no—
801C2×C22⋊C4—24no—
802C2×C22⋊C4—24no—
803C2×C22⋊C4—24no—
804C2×C22⋊C4—24no—
805C2×C22⋊C4—24no—
806C2×C22⋊C4—24no—
807C2×C22⋊C4—416no—
808C2×C22⋊C4—42no—
809C2×C22⋊C4—42no—
810C2×C22⋊C4—42no—
811C2×C22⋊C4—42no—
812C2×C22⋊C4—42no—
813C2×C22⋊C4—42no—
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—416no—
821C2×C22⋊C4—42no—
822C2×C22⋊C4—42no—
823C2×C22⋊C4—416no—
824C2×C22⋊C4—416no—
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×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C42—42no—
933C2×C42—42no—
934C2×C42—42no—
935C2×C42—42no—
936C2×C42—42no—
937C2×C42C2414yes—
938C2×C42C2414yes—
939C2×C42C2414yes—
940C2×C42C2414yes—
941C2×C42C2414yes—
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—28no—
991C24—28no—
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—22no—
1026C24—28no—
1027C24—28no—
1028C24—28no—
1029C24—28no—
1030C24—28no—
1031C24—28no—
1032C24—44no—
1033C24—44no—
1034C24—44no—
1035C24—44no—
1036C24—44no—
1037C24—44no—
1038C24—44no—
1039C24—44no—
1040C24—44no—
1041C24—44no—
1042C24—44no—
1043C24—44no—
1044C24—44no—
1045C24—416no—
1046C24—416no—
1047C24—416no—
1048C24—416no—
1049C24—416no—
1050C24—416no—
1051C24—416no—
1052C24—416no—
1053C24—88no—
1054C24—88no—
1055C24—88no—
1056C24—88no—
1057C24—88no—
1058C24—88no—
1059C24—88no—
1060C24—88no—
1061C24—88no—
1062C24—88no—
1063C24—88no—
1064C24—88no—
1065C24—88no—
1066C24H(5,𝔽2)14yes—
1067C24H(5,𝔽2)14yes—
1068C24H(5,𝔽2)14yes—
1069C24H(5,𝔽2)14yes—
1070C24C2512yes—
1071C24C2512yes—
1072C24C2512yes—
1073C24C2512yes—
1074C24C2512yes—
1075C24C2512yes—
1076C24C2512yes—
1077C24C2512yes—
1078C24C2511yescharacteristic
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—28no—
1089C2×D4—28no—
1090C2×D4—28no—
1091C2×D4—28no—
1092C2×D4—28no—
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—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—416no—
1108C2×D4—416no—
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—4128no—
1140C2×D4—4128no—
1141C2×D4—416no—
1142C2×D4—416no—
1143C2×D4—416no—
1144C2×D4—416no—
1145C2×D4—416no—
1146C2×D4—416no—
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—
1157C22×C4—22no—
1158C22×C4—22no—
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—28no—
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—28no—
1200C22×C4—28no—
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—22no—
1213C22×C4—22no—
1214C22×C4—28no—
1215C22×C4—28no—
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—22no—
1230C22×C4—28no—
1231C22×C4—28no—
1232C22×C4—28no—
1233C22×C4—28no—
1234C22×C4—44no—
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—416no—
1247C22×C4—416no—
1248C22×C4—416no—
1249C22×C4—416no—
1250C22×C4—88no—
1251C22×C4—88no—
1252C22×C4—88no—
1253C22×C4H(5,𝔽2)14yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
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—
1277C4⋊C4—28no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
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—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
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—44no—
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—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C42—44no—
1372C42—44no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—28no—
1378C23—28no—
1379C23—28no—
1380C23—28no—
1381C23—28no—
1382C23—28no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—28no—
1390C23—28no—
1391C23—28no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
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—22no—
1434C23—416no—
1435C23—416no—
1436C23—416no—
1437C23—416no—
1438C23—416no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—44no—
1443C23—416no—
1444C23—416no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—44no—
1449C23—416no—
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—44no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—44no—
1488C23—88no—
1489C23—88no—
1490C23—88no—
1491C23—88no—
1492C23—88no—
1493C23—88no—
1494C23—88no—
1495C23—88no—
1496C23—88no—
1497C23—88no—
1498C23—864no—
1499C23—864no—
1500C23—88no—
1501C23—88no—
1502C23—88no—
1503C23—864no—
1504C23#560116yes—
1505C23C2×H(5,𝔽2)14yes—
1506C23C2×H(5,𝔽2)14yes—
1507C23C2×H(5,𝔽2)14yes—
1508C23C2×H(5,𝔽2)14yes—
1509C23C2×H(5,𝔽2)12yes—
1510C23C2×H(5,𝔽2)12yes—
1511C23C2×H(5,𝔽2)12yes—
1512C23C2×H(5,𝔽2)12yes—
1513C23C2×H(5,𝔽2)12yes—
1514C23#58512yes—
1515C23#58512yes—
1516C23C2611yescharacteristic
1517D4—416no—
1518D4—416no—
1519D4—416no—
1520D4—416no—
1521D4—416no—
1522D4—416no—
1523D4—416no—
1524D4—416no—
1525D4—416no—
1526D4—88no—
1527D4—88no—
1528D4—88no—
1529D4—88no—
1530D4—88no—
1531D4—88no—
1532D4—88no—
1533D4—88no—
1534D4—88no—
1535D4—88no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—28no—
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—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—416no—
1606C2×C4—416no—
1607C2×C4—416no—
1608C2×C4—416no—
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—44no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—88no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4C2×H(5,𝔽2)14yes—
1635C22—24no—
1636C22—24no—
1637C22—24no—
1638C22—24no—
1639C22—232no—
1640C22—24no—
1641C22—24no—
1642C22—24no—
1643C22—24no—
1644C22—24no—
1645C22—42no—
1646C22—42no—
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—42no—
1690C22—42no—
1691C22—42no—
1692C22—832no—
1693C22—832no—
1694C22—832no—
1695C22—88no—
1696C22—88no—
1697C22—88no—
1698C22—88no—
1699C22—88no—
1700C22—88no—
1701C22C2×#56018yes—
1702C22C2×#56014yes—
1703C22#353214yes—
1704C22#353314yes—
1705C22#353414yes—
1706C22#353414yes—
1707C22#354214yes—
1708C22#355814yes—
1709C22C22×H(5,𝔽2)11yescharacteristic
1710C22C22×H(5,𝔽2)11yescharacteristic
1711C22C22×H(5,𝔽2)11yescharacteristic
1712C22C22×H(5,𝔽2)11yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C2×#58511yescharacteristic
1715C22C2×#58511yescharacteristic
1716C4—24no—
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—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C2—28no—
1740C2—44no—
1741C2—82no—
1742C2—82no—
1743C2—82no—
1744C2—82no—
1745C2—82no—
1746C2—82no—
1747C2#5234518yesdirect product factor
1748C2C22×#56011yescharacteristic
1749C2C2×#353211yescharacteristic
1750C2C2×#354211yescharacteristic
1751C2C2×#353411yescharacteristic
1752C2C2×#353411yescharacteristic
1753C2C2×#353311yescharacteristic
1754C2C2×#355811yescharacteristic
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. #52345C2direct (N × H)
2. C2×#2803C2semidirect
3. C2×#2797C2semidirect
4. C2×#2796C2semidirect
5. C2×#2714C2semidirect
6. C2×#2691C2semidirect
7. C2×#2685C2semidirect
8. C2×#2685C2semidirect
9. C2×#2678C2semidirect
10. C2×#2828C2semidirect
11. C2×#2828C2semidirect
12. C2×#2829C2semidirect
13. C2×#2829C2semidirect
14. C2×#2829C2semidirect
15. C2×#2827C2semidirect
16. C2×#2813C2semidirect
17. C2×#2812C2semidirect
18. C2×#2539C2semidirect
19. C2×#2498C2semidirect
20. C2×#2411C2semidirect
21. C2×#2411C2semidirect
22. C2×#2408C2semidirect
23. C2×#2425C2semidirect
24. C2×#2481C2semidirect
25. C2×#2480C2semidirect
26. C2×#2405C2semidirect
27. C2×#2443C2semidirect
28. C2×#2410C2semidirect
29. C2×#2403C2semidirect
30. C2×#2622C2semidirect
31. C2×#2617C2semidirect
32. C22×#394C2semidirect
35. C22×#126C22semidirect
36. C22×#126C22semidirect
39. C22×#123C22semidirect
40. C22×#123C22semidirect
44. C22×#121C22semidirect
50. C22×#120C22semidirect
51. C22×#120C22semidirect
52. C22×C4×D4C22semidirect
53. C22×#117C22semidirect
54. C23×C4⋊C4C22semidirect
57. C23×C22⋊C4C22semidirect
58. C23×C22⋊C4C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
61. #2829C22semidirect
62. #2828C22semidirect
63. #2828C22semidirect
64. #2827C22semidirect
65. #2813C22semidirect
66. #2812C22semidirect
67. #2803C22semidirect
68. #2797C22semidirect
69. #2796C22semidirect
70. #2714C22semidirect
71. #2691C22semidirect
72. #2685C22semidirect
73. #2685C22semidirect
74. #2678C22semidirect
75. #2622C22semidirect
76. #2617C22semidirect
77. #2539C22semidirect
78. #2498C22semidirect
79. #2481C22semidirect
80. #2480C22semidirect
81. #2443C22semidirect
82. #2425C22semidirect
83. #2411C22semidirect
84. #2411C22semidirect
85. #2410C22semidirect
86. #2408C22semidirect
87. #2405C22semidirect
88. #2403C22semidirect
89. C2×#400C22semidirect
90. C2×#400C22semidirect
91. C2×#400C22semidirect
92. C2×#399C22semidirect
93. C2×#399C22semidirect
94. C2×#399C22semidirect
95. C2×#399C22semidirect
96. C2×#398C22semidirect
97. C2×#398C22semidirect
98. C2×#398C22semidirect
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
109. C2×#397C22semidirect
110. C2×#397C22semidirect
111. C2×#397C22semidirect
112. C2×#396C22semidirect
113. C2×#396C22semidirect
114. C2×#396C22semidirect
115. C2×#396C22semidirect
116. C2×#396C22semidirect
117. C2×#396C22semidirect
118. C2×#396C22semidirect
124. C2×#394C22semidirect
125. C2×#394C22semidirect
126. C2×#394C22semidirect
127. C2×#394C22semidirect
128. C2×#394C22semidirect
129. C2×#394C22semidirect
130. C2×#394C22semidirect
131. C2×#394C22semidirect
132. C2×#394C22semidirect
133. C2×#394C22semidirect
134. C2×#394C22semidirect
135. C2×#394C22semidirect
136. C2×#394C22semidirect
137. C2×#394C22semidirect
138. C2×#394C22semidirect
139. C2×#394C22semidirect
140. C2×#394C22semidirect
141. C2×#394C22semidirect
142. C2×#394C22semidirect
143. C2×#394C22semidirect
144. C2×#394C22semidirect
145. C2×#394C22semidirect
146. C2×#394C22semidirect
147. C2×#394C22semidirect
148. C2×#394C22semidirect
149. C2×#394C22semidirect
155. C2×#392C22semidirect
156. C2×#392C22semidirect
157. C2×#392C22semidirect
158. C2×#392C22semidirect
159. C2×#392C22semidirect
160. C2×#392C22semidirect
161. C2×#392C22semidirect
163. C2×#390C22semidirect
164. C2×#390C22semidirect
165. C2×#390C22semidirect
166. C2×#390C22semidirect
167. C2×#390C22semidirect
168. C2×#390C22semidirect
169. C2×#390C22semidirect
170. C2×#390C22semidirect
171. C2×#390C22semidirect
172. C2×#389C22semidirect
173. C2×#388C22semidirect
174. C2×#388C22semidirect
175. C2×#388C22semidirect
176. C2×#388C22semidirect
177. C2×#388C22semidirect
178. C2×#388C22semidirect
179. C2×#388C22semidirect
180. C2×#388C22semidirect
181. C2×#388C22semidirect
182. C2×#388C22semidirect
183. C2×#388C22semidirect
184. C2×#388C22semidirect
185. C2×#387C22semidirect
186. C2×#387C22semidirect
187. C2×#387C22semidirect
188. C2×#387C22semidirect
189. C2×#387C22semidirect
198. C2×#386C22semidirect
199. C2×#386C22semidirect
200. C2×#386C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
206. C2×#385C22semidirect
207. C2×#385C22semidirect
208. C2×#380C22semidirect
209. C2×#380C22semidirect
210. C2×#380C22semidirect
213. C2×#379C22semidirect
214. C2×#379C22semidirect
215. C2×#379C22semidirect
216. C2×#379C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C22×#95C22semidirect
258. C2×#126C23semidirect
259. C2×#126C23semidirect
266. C2×#123C23semidirect
267. C2×#123C23semidirect
275. C2×#121C23semidirect
288. C2×#120C23semidirect
289. C2×#120C23semidirect
291. C2×C4×D4C23semidirect
293. C2×#117C23semidirect
320. C22×C4⋊C4C23semidirect
393. C22×C22⋊C4C23semidirect
394. C22×C22⋊C4C23semidirect
400. #400C23semidirect
401. #400C23semidirect
402. #400C23semidirect
403. #399C23semidirect
404. #399C23semidirect
405. #399C23semidirect
406. #399C23semidirect
407. #398C23semidirect
408. #398C23semidirect
409. #398C23semidirect
410. #397C23semidirect
411. #397C23semidirect
412. #397C23semidirect
413. #397C23semidirect
414. #397C23semidirect
415. #397C23semidirect
416. #397C23semidirect
417. #397C23semidirect
418. #397C23semidirect
419. #397C23semidirect
420. #397C23semidirect
421. #397C23semidirect
422. #397C23semidirect
423. #396C23semidirect
424. #396C23semidirect
425. #396C23semidirect
426. #396C23semidirect
427. #396C23semidirect
428. #396C23semidirect
429. #396C23semidirect
435. #394C23semidirect
436. #394C23semidirect
437. #394C23semidirect
438. #394C23semidirect
439. #394C23semidirect
440. #394C23semidirect
441. #394C23semidirect
442. #394C23semidirect
443. #394C23semidirect
444. #394C23semidirect
445. #394C23semidirect
446. #394C23semidirect
447. #394C23semidirect
448. #394C23semidirect
449. #394C23semidirect
450. #394C23semidirect
451. #394C23semidirect
452. #394C23semidirect
453. #394C23semidirect
454. #394C23semidirect
455. #394C23semidirect
456. #394C23semidirect
457. #394C23semidirect
458. #394C23semidirect
459. #394C23semidirect
465. #392C23semidirect
466. #392C23semidirect
467. #392C23semidirect
468. #392C23semidirect
469. #392C23semidirect
470. #392C23semidirect
471. #392C23semidirect
473. #390C23semidirect
474. #390C23semidirect
475. #390C23semidirect
476. #390C23semidirect
477. #390C23semidirect
478. #390C23semidirect
479. #390C23semidirect
480. #390C23semidirect
481. #390C23semidirect
482. #389C23semidirect
483. #388C23semidirect
484. #388C23semidirect
485. #388C23semidirect
486. #388C23semidirect
487. #388C23semidirect
488. #388C23semidirect
489. #388C23semidirect
490. #388C23semidirect
491. #388C23semidirect
492. #388C23semidirect
493. #388C23semidirect
494. #388C23semidirect
495. #387C23semidirect
496. #387C23semidirect
497. #387C23semidirect
498. #387C23semidirect
499. #387C23semidirect
508. #386C23semidirect
509. #386C23semidirect
510. #386C23semidirect
511. #385C23semidirect
512. #385C23semidirect
513. #385C23semidirect
514. #385C23semidirect
515. #385C23semidirect
516. #385C23semidirect
517. #385C23semidirect
518. #380C23semidirect
519. #380C23semidirect
520. #380C23semidirect
523. #379C23semidirect
524. #379C23semidirect
525. #379C23semidirect
526. #379C23semidirect
527. C4×C22⋊C4C23semidirect
558. C2×#95C23semidirect
1747. C2#52345direct (N × H)

Maximal subgroups

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

subgroupindex
#523452
C2×#28032
C2×#27972
C2×#27962
C2×#27142
C2×#26912
C2×#26852
C2×#26782
C2×#28282
C2×#28292
C2×#28272
C2×#28132
C2×#28122
C2×#25392
C2×#24982
C2×#24112
C2×#24082
C2×#24252
C2×#24812
C2×#24802
C2×#24052
C2×#24432
C2×#24102
C2×#24032
C2×#26222
C2×#26172
C22×#3942