Finite Group Databasebeta

← C2×#57299 #8100804

Subgroups — C2×#57299 #8100804

Order 512.

6968 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57299C2132yesmaximal, direct product factor
2C2×#2803C211yesmaximal, characteristic, complemented
3C2×#2801C211yesmaximal, characteristic, complemented
4C2×#2800C211yesmaximal, characteristic, complemented
5C2×#2733C211yesmaximal, characteristic, complemented
6C2×#2710C211yesmaximal, characteristic, complemented
7C2×#2697C211yesmaximal, characteristic, complemented
8C2×#2681C211yesmaximal, characteristic, complemented
9C2×#2679C211yesmaximal, characteristic, complemented
10C2×#2678C211yesmaximal, characteristic, complemented
11C2×#2678C211yesmaximal, characteristic, complemented
12C2×#2676C211yesmaximal, characteristic, complemented
13C2×#2670C211yesmaximal, characteristic, complemented
14C2×#2670C211yesmaximal, characteristic, complemented
15C2×#2670C211yesmaximal, characteristic, complemented
16C2×#2669C211yesmaximal, characteristic, complemented
17C2×#2669C211yesmaximal, characteristic, complemented
18C2×#2829C211yesmaximal, characteristic, complemented
19C2×#2825C211yesmaximal, characteristic, complemented
20C2×#2812C211yesmaximal, characteristic, complemented
21C2×#2602C211yesmaximal, characteristic, complemented
22C2×#2592C211yesmaximal, characteristic, complemented
23C2×#2557C211yesmaximal, characteristic, complemented
24C2×#2539C211yesmaximal, characteristic, complemented
25C2×#2426C211yesmaximal, characteristic, complemented
26C2×#2426C211yesmaximal, characteristic, complemented
27C2×#2445C211yesmaximal, characteristic, complemented
28C2×#2472C211yesmaximal, characteristic, complemented
29C2×#2424C211yesmaximal, characteristic, complemented
30C2×#2651C211yesmaximal, characteristic, complemented
31C2×#2661C211yesmaximal, characteristic, complemented
32C2×#2653C211yesmaximal, characteristic, complemented
33C22×#127C2211yescharacteristic
34C22×#124C2211yescharacteristic
35C22×#124C2211yescharacteristic
36C22×#124C2211yescharacteristic, complemented
37C22×#124C2211yescharacteristic, complemented
38C22×#124C2211yescharacteristic, complemented
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic, complemented
41C22×#123C2211yescharacteristic, complemented
42C22×#123C2211yescharacteristic, complemented
43C22×C22⋊Q8C2211yescharacteristic, complemented
44C22×C22⋊Q8C2211yescharacteristic, complemented
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic
47C22×#121C2211yescharacteristic
48C22×#121C2211yescharacteristic
49C22×#121C2211yescharacteristic, complemented
50C22×#120C2211yescharacteristic
51C22×#120C2211yescharacteristic
52C22×#120C2211yescharacteristic
53C22×#120C2211yescharacteristic
54C22×#120C2211yescharacteristic
55C22×#120C2211yescharacteristic
56C22×#120C2211yescharacteristic, complemented
57C22×#120C2211yescharacteristic, complemented
58C22×#120C2211yescharacteristic, complemented
59C22×#120C2211yescharacteristic, complemented
60C22×C4×Q8C2211yescharacteristic, complemented
61C22×C4×D4C2211yescharacteristic, complemented
62C23×C22⋊C4C2211yescharacteristic, complemented
63#2829C22116yescomplemented
64#2825C22116yescomplemented
65#2812C22116yescomplemented
66#2803C22116yescomplemented
67#2801C22116yescomplemented
68#2800C22116yescomplemented
69#2733C22116yescomplemented
70#2710C22116yescomplemented
71#2697C22116yescomplemented
72#2681C22116yescomplemented
73#2679C22116yescomplemented
74#2678C22116yescomplemented
75#2678C22116yescomplemented
76#2676C22116yescomplemented
77#2670C22116yescomplemented
78#2670C22116yescomplemented
79#2670C22116yescomplemented
80#2669C22116yescomplemented
81#2669C22116yescomplemented
82#2661C22116yescomplemented
83#2653C22116yescomplemented
84#2651C22116yescomplemented
85#2602C22116yescomplemented
86#2592C22116yescomplemented
87#2557C22116yescomplemented
88#2539C22116yescomplemented
89#2472C22116yescomplemented
90#2445C22116yescomplemented
91#2426C22116yescomplemented
92#2426C22116yescomplemented
93#2424C22116yescomplemented
94C2×#401C2211yescharacteristic, complemented
95C2×#399C2211yescharacteristic, complemented
96C2×#399C2211yescharacteristic, 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×#396C2211yescharacteristic, complemented
109C2×#396C2211yescharacteristic, complemented
110C2×#396C2211yescharacteristic, complemented
111C2×#396C2211yescharacteristic, complemented
112C2×#396C2211yescharacteristic, complemented
113C2×#396C2211yescharacteristic, complemented
114C2×#394C2211yescharacteristic
115C2×#394C2211yescharacteristic
116C2×#394C2211yescharacteristic
117C2×#394C2211yescharacteristic
118C2×#394C2211yescharacteristic
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
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×#393C2211yescharacteristic, complemented
140C2×#393C2211yescharacteristic, complemented
141C2×#393C2211yescharacteristic, complemented
142C2×#393C2211yescharacteristic, complemented
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic
145C2×#392C2211yescharacteristic
146C2×#392C2211yescharacteristic
147C2×#392C2211yescharacteristic
148C2×#392C2211yescharacteristic
149C2×#392C2211yescharacteristic
150C2×#392C2211yescharacteristic
151C2×#392C2211yescharacteristic
152C2×#392C2211yescharacteristic
153C2×#392C2211yescharacteristic
154C2×#392C2211yescharacteristic
155C2×#392C2211yescharacteristic, complemented
156C2×#392C2211yescharacteristic, complemented
157C2×#392C2211yescharacteristic, complemented
158C2×#391C2211yescharacteristic, complemented
159C2×#391C2211yescharacteristic, complemented
160C2×#390C2211yescharacteristic
161C2×#390C2211yescharacteristic
162C2×#390C2211yescharacteristic
163C2×#390C2211yescharacteristic
164C2×#390C2211yescharacteristic
165C2×#390C2211yescharacteristic
166C2×#390C2211yescharacteristic
167C2×#390C2211yescharacteristic
168C2×#390C2211yescharacteristic, complemented
169C2×#390C2211yescharacteristic, complemented
170C2×#390C2211yescharacteristic, complemented
171C2×#390C2211yescharacteristic, complemented
172C2×#390C2211yescharacteristic, complemented
173C2×#390C2211yescharacteristic, complemented
174C2×#390C2211yescharacteristic, complemented
175C2×#389C2211yescharacteristic, complemented
176C2×#389C2211yescharacteristic, complemented
177C2×#389C2211yescharacteristic, complemented
178C2×#389C2211yescharacteristic, complemented
179C2×#388C2211yescharacteristic, complemented
180C2×#388C2211yescharacteristic, complemented
181C2×#388C2211yescharacteristic, complemented
182C2×#388C2211yescharacteristic, complemented
183C2×#388C2211yescharacteristic, complemented
184C2×#388C2211yescharacteristic, complemented
185C2×#388C2211yescharacteristic, complemented
186C2×#388C2211yescharacteristic, complemented
187C2×#388C2211yescharacteristic, complemented
188C2×#388C2211yescharacteristic, complemented
189C2×#388C2211yescharacteristic, complemented
190C2×#388C2211yescharacteristic, complemented
191C2×#388C2211yescharacteristic, complemented
192C2×#388C2211yescharacteristic, complemented
193C2×#388C2211yescharacteristic, complemented
194C2×#388C2211yescharacteristic, complemented
195C2×#388C2211yescharacteristic, complemented
196C2×#388C2211yescharacteristic, complemented
197C2×#388C2211yescharacteristic, complemented
198C2×#388C2211yescharacteristic, complemented
199C2×#387C2211yescharacteristic, complemented
200C2×#387C2211yescharacteristic, complemented
201C2×#387C2211yescharacteristic, complemented
202C2×#386C2211yescharacteristic
203C2×#386C2211yescharacteristic
204C2×#386C2211yescharacteristic
205C2×#386C2211yescharacteristic, complemented
206C2×#386C2211yescharacteristic, complemented
207C2×#386C2211yescharacteristic, complemented
208C2×#386C2211yescharacteristic, complemented
209C2×#386C2211yescharacteristic, complemented
210C2×#385C2211yescharacteristic, complemented
211C2×#385C2211yescharacteristic, complemented
212C2×#379C2211yescharacteristic, complemented
213C2×#379C2211yescharacteristic, complemented
214C2×#379C2211yescharacteristic, complemented
215C2×C4×C4⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
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×D4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C2×#127—44no—
250C2×#127C2318yes—
251C2×#124—44no—
252C2×#124—44no—
253C2×#124—44no—
254C2×#124—44no—
255C2×#124—44no—
256C2×#124C2318yes—
257C2×#124C2318yes—
258C2×#124C2318yescomplemented
259C2×#124C2318yescomplemented
260C2×#124C2318yescomplemented
261C2×#123—44no—
262C2×#123—44no—
263C2×#123—44no—
264C2×#123—44no—
265C2×#123C2318yes—
266C2×#123C2318yescomplemented
267C2×#123C2318yescomplemented
268C2×#123C2318yescomplemented
269C2×C22⋊Q8—44no—
270C2×C22⋊Q8—44no—
271C2×C22⋊Q8C2318yescomplemented
272C2×C22⋊Q8C2318yescomplemented
273C2×#121—44no—
274C2×#121—44no—
275C2×#121—44no—
276C2×#121—44no—
277C2×#121—44no—
278C2×#121C2318yes—
279C2×#121C2318yes—
280C2×#121C2318yes—
281C2×#121C2318yes—
282C2×#121C2318yescomplemented
283C2×#120—44no—
284C2×#120—44no—
285C2×#120—44no—
286C2×#120—44no—
287C2×#120—44no—
288C2×#120—44no—
289C2×#120—44no—
290C2×#120—44no—
291C2×#120—44no—
292C2×#120—44no—
293C2×#120C2318yes—
294C2×#120C2318yes—
295C2×#120C2318yes—
296C2×#120C2318yes—
297C2×#120C2318yes—
298C2×#120C2318yes—
299C2×#120C2318yescomplemented
300C2×#120C2318yescomplemented
301C2×#120C2318yescomplemented
302C2×#120C2318yescomplemented
303C2×C4×Q8—44no—
304C2×C4×Q8C2318yescomplemented
305C2×C4×D4—44no—
306C2×C4×D4C2318yescomplemented
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×C4⋊C4C2311yescharacteristic
328C22×C4⋊C4C2311yescharacteristic
329C22×C22⋊C4—44no—
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⋊C4C2311yescharacteristic
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2318yescomplemented
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406#401C2318yescomplemented
407#399C2318yescomplemented
408#399C2318yescomplemented
409#398C2318yescomplemented
410#398C2318yescomplemented
411#397C2318yescomplemented
412#397C2318yescomplemented
413#397C2318yescomplemented
414#397C2318yescomplemented
415#397C2318yescomplemented
416#397C2318yescomplemented
417#397C2318yescomplemented
418#397C2318yescomplemented
419#397C2318yescomplemented
420#396C2318yescomplemented
421#396C2318yescomplemented
422#396C2318yescomplemented
423#396C2318yescomplemented
424#396C2318yescomplemented
425#396C2318yescomplemented
426#394C2318yes—
427#394C2318yes—
428#394C2318yes—
429#394C2318yes—
430#394C2318yes—
431#394C2318yes—
432#394C2318yes—
433#394C2318yes—
434#394C2318yes—
435#394C2318yes—
436#394C2318yes—
437#394C2318yes—
438#394C2318yes—
439#394C2318yes—
440#394C2318yescomplemented
441#394C2318yescomplemented
442#394C2318yescomplemented
443#394C2318yescomplemented
444#394C2318yescomplemented
445#394C2318yescomplemented
446#394C2318yescomplemented
447#394C2318yescomplemented
448#394C2318yescomplemented
449#394C2318yescomplemented
450#394C2318yescomplemented
451#393C2318yescomplemented
452#393C2318yescomplemented
453#393C2318yescomplemented
454#393C2318yescomplemented
455#392C2318yes—
456#392C2318yes—
457#392C2318yes—
458#392C2318yes—
459#392C2318yes—
460#392C2318yes—
461#392C2318yes—
462#392C2318yes—
463#392C2318yes—
464#392C2318yes—
465#392C2318yes—
466#392C2318yes—
467#392C2318yescomplemented
468#392C2318yescomplemented
469#392C2318yescomplemented
470#391C2318yescomplemented
471#391C2318yescomplemented
472#390C2318yes—
473#390C2318yes—
474#390C2318yes—
475#390C2318yes—
476#390C2318yes—
477#390C2318yes—
478#390C2318yes—
479#390C2318yes—
480#390C2318yescomplemented
481#390C2318yescomplemented
482#390C2318yescomplemented
483#390C2318yescomplemented
484#390C2318yescomplemented
485#390C2318yescomplemented
486#390C2318yescomplemented
487#389C2318yescomplemented
488#389C2318yescomplemented
489#389C2318yescomplemented
490#389C2318yescomplemented
491#388C2318yescomplemented
492#388C2318yescomplemented
493#388C2318yescomplemented
494#388C2318yescomplemented
495#388C2318yescomplemented
496#388C2318yescomplemented
497#388C2318yescomplemented
498#388C2318yescomplemented
499#388C2318yescomplemented
500#388C2318yescomplemented
501#388C2318yescomplemented
502#388C2318yescomplemented
503#388C2318yescomplemented
504#388C2318yescomplemented
505#388C2318yescomplemented
506#388C2318yescomplemented
507#388C2318yescomplemented
508#388C2318yescomplemented
509#388C2318yescomplemented
510#388C2318yescomplemented
511#387C2318yescomplemented
512#387C2318yescomplemented
513#387C2318yescomplemented
514#386C2318yes—
515#386C2318yes—
516#386C2318yes—
517#386C2318yescomplemented
518#386C2318yescomplemented
519#386C2318yescomplemented
520#386C2318yescomplemented
521#386C2318yescomplemented
522#385C2318yescomplemented
523#385C2318yescomplemented
524#379C2318yescomplemented
525#379C2318yescomplemented
526#379C2318yescomplemented
527C4×C4⋊C4C2318yescomplemented
528C4×C22⋊C4C2318yescomplemented
529C4×C22⋊C4C2318yescomplemented
530C4×C22⋊C4C2318yescomplemented
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×#95C2311yescharacteristic
559C25—24no—
560C25—42no—
561C25—42no—
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—
583C22×Q8—24no—
584C22×Q8—24no—
585C22×Q8—24no—
586C22×Q8—42no—
587C22×Q8—42no—
588C22×Q8—42no—
589C22×Q8C2414yes—
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—42no—
602C22×D4—42no—
603C22×D4—42no—
604C22×D4—42no—
605C22×D4—42no—
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—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×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—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2414yes—
679C23×C4—24no—
680C23×C4—24no—
681C23×C4—24no—
682C23×C4—42no—
683C23×C4—42no—
684C23×C4—42no—
685C23×C4—42no—
686C23×C4—42no—
687C23×C4—42no—
688C23×C4—42no—
689C23×C4—42no—
690C23×C4—42no—
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
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×C4C2414yes—
715C23×C4C2414yes—
716C23×C4C2414yes—
717C23×C4C2414yes—
718#127—416no—
719#124—416no—
720#124—416no—
721#124—416no—
722#124—416no—
723#124—416no—
724#123—416no—
725#123—416no—
726#123—416no—
727#123—416no—
728C22⋊Q8—416no—
729C22⋊Q8—416no—
730#121—416no—
731#121—416no—
732#121—416no—
733#121—416no—
734#121—416no—
735#120—416no—
736#120—416no—
737#120—416no—
738#120—416no—
739#120—416no—
740#120—416no—
741#120—416no—
742#120—416no—
743#120—416no—
744#120—416no—
745C4×Q8—416no—
746C4×D4—416no—
747C2×C4⋊C4—24no—
748C2×C4⋊C4—24no—
749C2×C4⋊C4—24no—
750C2×C4⋊C4—24no—
751C2×C4⋊C4—24no—
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⋊C4C2414yes—
770C2×C4⋊C4C2414yes—
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×C22⋊C4—24no—
792C2×C22⋊C4—24no—
793C2×C22⋊C4—24no—
794C2×C22⋊C4—24no—
795C2×C22⋊C4—24no—
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—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⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
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×C42—24no—
925C2×C42—42no—
926C2×C42—42no—
927C2×C42—42no—
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—
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—
970C24—22no—
971C24—22no—
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—44no—
1027C24—44no—
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—88no—
1041C24—88no—
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—
1054C24C2512yes—
1055C24C2512yes—
1056C24C2512yes—
1057C24C2512yes—
1058C24C2512yes—
1059C24C2512yes—
1060C24C2512yes—
1061C24C2512yes—
1062C24C2511yescharacteristic
1063C2×Q8—28no—
1064C2×Q8—28no—
1065C2×Q8—28no—
1066C2×Q8—44no—
1067C2×Q8—44no—
1068C2×Q8—44no—
1069C2×Q8—416no—
1070C2×Q8—88no—
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—44no—
1082C2×D4—416no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
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—44no—
1105C2×D4—44no—
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—88no—
1139C2×D4—88no—
1140C2×D4—88no—
1141C2×D4—88no—
1142C2×D4—88no—
1143C2×D4—88no—
1144C2×D4—88no—
1145C2×D4—88no—
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—22no—
1213C22×C4—22no—
1214C22×C4—22no—
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—28no—
1225C22×C4—28no—
1226C22×C4—28no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—88no—
1237C22×C4—88no—
1238C22×C4—88no—
1239C22×C4—88no—
1240C22×C4H(5,𝔽2)14yes—
1241C22×C4H(5,𝔽2)14yes—
1242C22×C4H(5,𝔽2)14yes—
1243C22×C4H(5,𝔽2)14yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
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—
1267C4⋊C4—28no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
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—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
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—44no—
1312C22⋊C4—44no—
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—
1355C42—28no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C42—44no—
1362C42—44no—
1363C42—44no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—28no—
1371C23—28no—
1372C23—28no—
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—22no—
1390C23—22no—
1391C23—22no—
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—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—416no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
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—88no—
1477C23—88no—
1478C23—88no—
1479C23—88no—
1480C23—88no—
1481C23—88no—
1482C23—88no—
1483C23—88no—
1484C23—88no—
1485C23—88no—
1486C23—88no—
1487C23—88no—
1488C23—88no—
1489C23—864no—
1490C23—864no—
1491C23C2×H(5,𝔽2)14yes—
1492C23C2×H(5,𝔽2)12yes—
1493C23C2×H(5,𝔽2)12yes—
1494C23C2×H(5,𝔽2)12yes—
1495C23C2×H(5,𝔽2)12yes—
1496C23C2×H(5,𝔽2)12yes—
1497C23#58512yes—
1498C23#58512yes—
1499C23C2611yescharacteristic
1500Q8—416no—
1501Q8—88no—
1502D4—416no—
1503D4—88no—
1504D4—88no—
1505D4—88no—
1506D4—88no—
1507D4—88no—
1508D4—88no—
1509D4—88no—
1510D4—88no—
1511D4—88no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515D4—88no—
1516D4—88no—
1517D4—88no—
1518D4—88no—
1519D4—88no—
1520D4—88no—
1521D4—88no—
1522D4—88no—
1523D4—88no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—28no—
1533C2×C4—28no—
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—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
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—88no—
1613C2×C4—88no—
1614C2×C4—88no—
1615C2×C4—88no—
1616C2×C4C2×H(5,𝔽2)14yes—
1617C2×C4C2×H(5,𝔽2)14yes—
1618C2×C4C2×H(5,𝔽2)14yes—
1619C2×C4C2×H(5,𝔽2)14yes—
1620C22—24no—
1621C22—24no—
1622C22—24no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—416no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
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—832no—
1678C22—832no—
1679C22—88no—
1680C22—88no—
1681C22—88no—
1682C22—88no—
1683C22—88no—
1684C22—88no—
1685C22—88no—
1686C22#353414yes—
1687C22#353714yes—
1688C22#354014yes—
1689C22#354314yes—
1690C22#354614yes—
1691C22#355814yes—
1692C22#355814yes—
1693C22C22×H(5,𝔽2)11yescharacteristic
1694C22C22×H(5,𝔽2)11yescharacteristic
1695C22C22×H(5,𝔽2)11yescharacteristic
1696C22C22×H(5,𝔽2)11yescharacteristic
1697C22C22×H(5,𝔽2)11yescharacteristic
1698C22C2×#58511yescharacteristic
1699C22C2×#58511yescharacteristic
1700C4—24no—
1701C4—24no—
1702C4—24no—
1703C4—24no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C2—44no—
1724C2—82no—
1725C2—82no—
1726C2—82no—
1727C2—82no—
1728C2—82no—
1729C2—82no—
1730C2—82no—
1731C2#5729918yesdirect product factor
1732C2C2×#353411yescharacteristic
1733C2C2×#353711yescharacteristic
1734C2C2×#354011yescharacteristic
1735C2C2×#355811yescharacteristic
1736C2C2×#355811yescharacteristic
1737C2C2×#354311yescharacteristic
1738C2C2×#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. #57299C2direct (N × H)
2. C2×#2803C2semidirect
3. C2×#2801C2semidirect
4. C2×#2800C2semidirect
5. C2×#2733C2semidirect
6. C2×#2710C2semidirect
7. C2×#2697C2semidirect
8. C2×#2681C2semidirect
9. C2×#2679C2semidirect
10. C2×#2678C2semidirect
11. C2×#2678C2semidirect
12. C2×#2676C2semidirect
13. C2×#2670C2semidirect
14. C2×#2670C2semidirect
15. C2×#2670C2semidirect
16. C2×#2669C2semidirect
17. C2×#2669C2semidirect
18. C2×#2829C2semidirect
19. C2×#2825C2semidirect
20. C2×#2812C2semidirect
21. C2×#2602C2semidirect
22. C2×#2592C2semidirect
23. C2×#2557C2semidirect
24. C2×#2539C2semidirect
25. C2×#2426C2semidirect
26. C2×#2426C2semidirect
27. C2×#2445C2semidirect
28. C2×#2472C2semidirect
29. C2×#2424C2semidirect
30. C2×#2651C2semidirect
31. C2×#2661C2semidirect
32. C2×#2653C2semidirect
36. C22×#124C22semidirect
37. C22×#124C22semidirect
38. C22×#124C22semidirect
40. C22×#123C22semidirect
41. C22×#123C22semidirect
42. C22×#123C22semidirect
43. C22×C22⋊Q8C22semidirect
44. C22×C22⋊Q8C22semidirect
49. C22×#121C22semidirect
56. C22×#120C22semidirect
57. C22×#120C22semidirect
58. C22×#120C22semidirect
59. C22×#120C22semidirect
60. C22×C4×Q8C22semidirect
61. C22×C4×D4C22semidirect
62. C23×C22⋊C4C22semidirect
63. #2829C22semidirect
64. #2825C22semidirect
65. #2812C22semidirect
66. #2803C22semidirect
67. #2801C22semidirect
68. #2800C22semidirect
69. #2733C22semidirect
70. #2710C22semidirect
71. #2697C22semidirect
72. #2681C22semidirect
73. #2679C22semidirect
74. #2678C22semidirect
75. #2678C22semidirect
76. #2676C22semidirect
77. #2670C22semidirect
78. #2670C22semidirect
79. #2670C22semidirect
80. #2669C22semidirect
81. #2669C22semidirect
82. #2661C22semidirect
83. #2653C22semidirect
84. #2651C22semidirect
85. #2602C22semidirect
86. #2592C22semidirect
87. #2557C22semidirect
88. #2539C22semidirect
89. #2472C22semidirect
90. #2445C22semidirect
91. #2426C22semidirect
92. #2426C22semidirect
93. #2424C22semidirect
94. C2×#401C22semidirect
95. C2×#399C22semidirect
96. C2×#399C22semidirect
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×#396C22semidirect
109. C2×#396C22semidirect
110. C2×#396C22semidirect
111. C2×#396C22semidirect
112. C2×#396C22semidirect
113. C2×#396C22semidirect
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×#393C22semidirect
140. C2×#393C22semidirect
141. C2×#393C22semidirect
142. C2×#393C22semidirect
155. C2×#392C22semidirect
156. C2×#392C22semidirect
157. C2×#392C22semidirect
158. C2×#391C22semidirect
159. C2×#391C22semidirect
168. C2×#390C22semidirect
169. C2×#390C22semidirect
170. C2×#390C22semidirect
171. C2×#390C22semidirect
172. C2×#390C22semidirect
173. C2×#390C22semidirect
174. C2×#390C22semidirect
175. C2×#389C22semidirect
176. C2×#389C22semidirect
177. C2×#389C22semidirect
178. C2×#389C22semidirect
179. C2×#388C22semidirect
180. C2×#388C22semidirect
181. C2×#388C22semidirect
182. C2×#388C22semidirect
183. C2×#388C22semidirect
184. C2×#388C22semidirect
185. C2×#388C22semidirect
186. C2×#388C22semidirect
187. C2×#388C22semidirect
188. C2×#388C22semidirect
189. C2×#388C22semidirect
190. C2×#388C22semidirect
191. C2×#388C22semidirect
192. C2×#388C22semidirect
193. C2×#388C22semidirect
194. C2×#388C22semidirect
195. C2×#388C22semidirect
196. C2×#388C22semidirect
197. C2×#388C22semidirect
198. C2×#388C22semidirect
199. C2×#387C22semidirect
200. C2×#387C22semidirect
201. C2×#387C22semidirect
205. C2×#386C22semidirect
206. C2×#386C22semidirect
207. C2×#386C22semidirect
208. C2×#386C22semidirect
209. C2×#386C22semidirect
210. C2×#385C22semidirect
211. C2×#385C22semidirect
212. C2×#379C22semidirect
213. C2×#379C22semidirect
214. C2×#379C22semidirect
215. C2×C4×C4⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
258. C2×#124C23semidirect
259. C2×#124C23semidirect
260. C2×#124C23semidirect
266. C2×#123C23semidirect
267. C2×#123C23semidirect
268. C2×#123C23semidirect
271. C2×C22⋊Q8C23semidirect
272. C2×C22⋊Q8C23semidirect
282. C2×#121C23semidirect
299. C2×#120C23semidirect
300. C2×#120C23semidirect
301. C2×#120C23semidirect
302. C2×#120C23semidirect
304. C2×C4×Q8C23semidirect
306. C2×C4×D4C23semidirect
396. C22×C22⋊C4C23semidirect
406. #401C23semidirect
407. #399C23semidirect
408. #399C23semidirect
409. #398C23semidirect
410. #398C23semidirect
411. #397C23semidirect
412. #397C23semidirect
413. #397C23semidirect
414. #397C23semidirect
415. #397C23semidirect
416. #397C23semidirect
417. #397C23semidirect
418. #397C23semidirect
419. #397C23semidirect
420. #396C23semidirect
421. #396C23semidirect
422. #396C23semidirect
423. #396C23semidirect
424. #396C23semidirect
425. #396C23semidirect
440. #394C23semidirect
441. #394C23semidirect
442. #394C23semidirect
443. #394C23semidirect
444. #394C23semidirect
445. #394C23semidirect
446. #394C23semidirect
447. #394C23semidirect
448. #394C23semidirect
449. #394C23semidirect
450. #394C23semidirect
451. #393C23semidirect
452. #393C23semidirect
453. #393C23semidirect
454. #393C23semidirect
467. #392C23semidirect
468. #392C23semidirect
469. #392C23semidirect
470. #391C23semidirect
471. #391C23semidirect
480. #390C23semidirect
481. #390C23semidirect
482. #390C23semidirect
483. #390C23semidirect
484. #390C23semidirect
485. #390C23semidirect
486. #390C23semidirect
487. #389C23semidirect
488. #389C23semidirect
489. #389C23semidirect
490. #389C23semidirect
491. #388C23semidirect
492. #388C23semidirect
493. #388C23semidirect
494. #388C23semidirect
495. #388C23semidirect
496. #388C23semidirect
497. #388C23semidirect
498. #388C23semidirect
499. #388C23semidirect
500. #388C23semidirect
501. #388C23semidirect
502. #388C23semidirect
503. #388C23semidirect
504. #388C23semidirect
505. #388C23semidirect
506. #388C23semidirect
507. #388C23semidirect
508. #388C23semidirect
509. #388C23semidirect
510. #388C23semidirect
511. #387C23semidirect
512. #387C23semidirect
513. #387C23semidirect
517. #386C23semidirect
518. #386C23semidirect
519. #386C23semidirect
520. #386C23semidirect
521. #386C23semidirect
522. #385C23semidirect
523. #385C23semidirect
524. #379C23semidirect
525. #379C23semidirect
526. #379C23semidirect
527. C4×C4⋊C4C23semidirect
528. C4×C22⋊C4C23semidirect
529. C4×C22⋊C4C23semidirect
530. C4×C22⋊C4C23semidirect
1731. C2#57299direct (N × H)

Maximal subgroups

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

subgroupindex
#572992
C2×#28032
C2×#28012
C2×#28002
C2×#27332
C2×#27102
C2×#26972
C2×#26812
C2×#26792
C2×#26782
C2×#26762
C2×#26702
C2×#26692
C2×#28292
C2×#28252
C2×#28122
C2×#26022
C2×#25922
C2×#25572
C2×#25392
C2×#24262
C2×#24452
C2×#24722
C2×#24242
C2×#26512
C2×#26612
C2×#26532