Finite Group Databasebeta

← C2×#54921 #8098878

Subgroups — C2×#54921 #8098878

Order 512.

7492 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#54921C2132yesmaximal, direct product factor
2C2×#2803C211yesmaximal, characteristic, complemented
3C2×#2756C211yesmaximal, characteristic, complemented
4C2×#2756C211yesmaximal, characteristic, complemented
5C2×#2752C211yesmaximal, characteristic, complemented
6C2×#2737C211yesmaximal, characteristic, complemented
7C2×#2711C211yesmaximal, characteristic, complemented
8C2×#2707C211yesmaximal, characteristic, complemented
9C2×#2685C211yesmaximal, characteristic, complemented
10C2×#2685C211yesmaximal, characteristic, complemented
11C2×#2685C211yesmaximal, characteristic, complemented
12C2×#2684C211yesmaximal, characteristic, complemented
13C2×#2679C211yesmaximal, characteristic, complemented
14C2×#2679C211yesmaximal, characteristic, complemented
15C2×#2678C211yesmaximal, characteristic, complemented
16C2×#2672C211yesmaximal, characteristic, complemented
17C2×#2670C211yesmaximal, characteristic, complemented
18C2×#2829C211yesmaximal, characteristic, complemented
19C2×#2829C211yesmaximal, characteristic, complemented
20C2×#2816C211yesmaximal, characteristic, complemented
21C2×#2534C211yesmaximal, characteristic, complemented
22C2×#2490C211yesmaximal, characteristic, complemented
23C2×#2468C211yesmaximal, characteristic, complemented
24C2×#2408C211yesmaximal, characteristic, complemented
25C2×#2467C211yesmaximal, characteristic, complemented
26C2×#2472C211yesmaximal, characteristic, complemented
27C2×#2424C211yesmaximal, characteristic, complemented
28C2×#2418C211yesmaximal, characteristic, complemented
29C2×#2410C211yesmaximal, characteristic, complemented
30C2×#2662C211yesmaximal, characteristic, complemented
31C2×#2617C211yesmaximal, characteristic, complemented
32C2×#2613C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic, complemented
34C22×#126C2211yescharacteristic, complemented
35C22×#126C2211yescharacteristic, complemented
36C22×#125C2211yescharacteristic, complemented
37C22×#124C2211yescharacteristic, complemented
38C22×#124C2211yescharacteristic, complemented
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic, complemented
41C22×C22⋊Q8C2211yescharacteristic, complemented
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C22×#120C2211yescharacteristic
47C22×#120C2211yescharacteristic
48C22×#120C2211yescharacteristic
49C22×#120C2211yescharacteristic
50C22×#120C2211yescharacteristic
51C22×#120C2211yescharacteristic
52C22×#120C2211yescharacteristic
53C22×#120C2211yescharacteristic, complemented
54C22×#120C2211yescharacteristic, complemented
55C22×#120C2211yescharacteristic, complemented
56C22×#120C2211yescharacteristic, complemented
57C22×C4×D4C2211yescharacteristic
58C22×C4×D4C2211yescharacteristic, complemented
59C23×C22⋊C4C2211yescharacteristic, complemented
60C23×C22⋊C4C2211yescharacteristic, complemented
61#2829C22116yescomplemented
62#2829C22116yescomplemented
63#2816C22116yescomplemented
64#2803C22116yescomplemented
65#2756C22116yescomplemented
66#2756C22116yescomplemented
67#2752C22116yescomplemented
68#2737C22116yescomplemented
69#2711C22116yescomplemented
70#2707C22116yescomplemented
71#2685C22116yescomplemented
72#2685C22116yescomplemented
73#2685C22116yescomplemented
74#2684C22116yescomplemented
75#2679C22116yescomplemented
76#2679C22116yescomplemented
77#2678C22116yescomplemented
78#2672C22116yescomplemented
79#2670C22116yescomplemented
80#2662C22116yescomplemented
81#2617C22116yescomplemented
82#2613C22116yescomplemented
83#2534C22116yescomplemented
84#2490C22116yescomplemented
85#2472C22116yescomplemented
86#2468C22116yescomplemented
87#2467C22116yescomplemented
88#2424C22116yescomplemented
89#2418C22116yescomplemented
90#2410C22116yescomplemented
91#2408C22116yescomplemented
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×#396C2211yescharacteristic, complemented
107C2×#396C2211yescharacteristic, complemented
108C2×#396C2211yescharacteristic, complemented
109C2×#396C2211yescharacteristic, complemented
110C2×#396C2211yescharacteristic, complemented
111C2×#396C2211yescharacteristic, complemented
112C2×#395C2211yescharacteristic, complemented
113C2×#394C2211yescharacteristic
114C2×#394C2211yescharacteristic
115C2×#394C2211yescharacteristic
116C2×#394C2211yescharacteristic
117C2×#394C2211yescharacteristic
118C2×#394C2211yescharacteristic
119C2×#394C2211yescharacteristic, complemented
120C2×#394C2211yescharacteristic, complemented
121C2×#394C2211yescharacteristic, complemented
122C2×#394C2211yescharacteristic, complemented
123C2×#394C2211yescharacteristic, complemented
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×#393C2211yescharacteristic, complemented
146C2×#393C2211yescharacteristic, complemented
147C2×#393C2211yescharacteristic, complemented
148C2×#392C2211yescharacteristic
149C2×#392C2211yescharacteristic
150C2×#392C2211yescharacteristic
151C2×#392C2211yescharacteristic
152C2×#392C2211yescharacteristic
153C2×#392C2211yescharacteristic
154C2×#392C2211yescharacteristic
155C2×#392C2211yescharacteristic
156C2×#390C2211yescharacteristic
157C2×#390C2211yescharacteristic
158C2×#390C2211yescharacteristic, complemented
159C2×#390C2211yescharacteristic, complemented
160C2×#390C2211yescharacteristic, complemented
161C2×#390C2211yescharacteristic, complemented
162C2×#390C2211yescharacteristic, complemented
163C2×#390C2211yescharacteristic, complemented
164C2×#390C2211yescharacteristic, complemented
165C2×#390C2211yescharacteristic, complemented
166C2×#390C2211yescharacteristic, complemented
167C2×#390C2211yescharacteristic, complemented
168C2×#390C2211yescharacteristic, complemented
169C2×#389C2211yescharacteristic, complemented
170C2×#388C2211yescharacteristic, complemented
171C2×#388C2211yescharacteristic, complemented
172C2×#388C2211yescharacteristic, 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×#388C2211yescharacteristic, complemented
186C2×#388C2211yescharacteristic, complemented
187C2×#388C2211yescharacteristic, complemented
188C2×#387C2211yescharacteristic, complemented
189C2×#387C2211yescharacteristic, complemented
190C2×#387C2211yescharacteristic, complemented
191C2×#387C2211yescharacteristic, complemented
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic, complemented
195C2×#386C2211yescharacteristic, complemented
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#386C2211yescharacteristic, complemented
199C2×#386C2211yescharacteristic, complemented
200C2×#386C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#383C2211yescharacteristic, complemented
205C2×#381C2211yescharacteristic, complemented
206C2×#381C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic, complemented
209C2×#380C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic, complemented
211C2×#379C2211yescharacteristic, complemented
212C2×#379C2211yescharacteristic, complemented
213C2×#379C2211yescharacteristic, complemented
214C2×#379C2211yescharacteristic, complemented
215C2×#379C2211yescharacteristic, complemented
216C2×#379C2211yescharacteristic, complemented
217C2×C4×C4⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C26C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4—44no—
224C23×D4—44no—
225C23×D4—44no—
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
245C23×D4C2318yescomplemented
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C2×#126—44no—
252C2×#126—44no—
253C2×#126C2318yescomplemented
254C2×#126C2318yescomplemented
255C2×#125—44no—
256C2×#125C2318yescomplemented
257C2×#124—44no—
258C2×#124—44no—
259C2×#124C2318yescomplemented
260C2×#124C2318yescomplemented
261C2×#123—44no—
262C2×#123—44no—
263C2×#123C2318yes—
264C2×#123C2318yescomplemented
265C2×C22⋊Q8—44no—
266C2×C22⋊Q8C2318yescomplemented
267C2×#121—44no—
268C2×#121—44no—
269C2×#121—44no—
270C2×#121—44no—
271C2×#121C2318yes—
272C2×#121C2318yes—
273C2×#121C2318yes—
274C2×#121C2318yes—
275C2×#120—44no—
276C2×#120—44no—
277C2×#120—44no—
278C2×#120—44no—
279C2×#120—44no—
280C2×#120—44no—
281C2×#120—44no—
282C2×#120—44no—
283C2×#120—44no—
284C2×#120—44no—
285C2×#120—44no—
286C2×#120C2318yes—
287C2×#120C2318yes—
288C2×#120C2318yes—
289C2×#120C2318yes—
290C2×#120C2318yes—
291C2×#120C2318yes—
292C2×#120C2318yes—
293C2×#120C2318yescomplemented
294C2×#120C2318yescomplemented
295C2×#120C2318yescomplemented
296C2×#120C2318yescomplemented
297C2×C4×D4—44no—
298C2×C4×D4—44no—
299C2×C4×D4C2318yes—
300C2×C4×D4C2318yescomplemented
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⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C22⋊C4—44no—
326C22×C22⋊C4—44no—
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⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2318yescomplemented
396C22×C22⋊C4C2318yescomplemented
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404#399C2318yescomplemented
405#399C2318yescomplemented
406#399C2318yescomplemented
407#399C2318yescomplemented
408#398C2318yescomplemented
409#398C2318yescomplemented
410#398C2318yescomplemented
411#397C2318yescomplemented
412#397C2318yescomplemented
413#397C2318yescomplemented
414#397C2318yescomplemented
415#397C2318yescomplemented
416#397C2318yescomplemented
417#397C2318yescomplemented
418#396C2318yescomplemented
419#396C2318yescomplemented
420#396C2318yescomplemented
421#396C2318yescomplemented
422#396C2318yescomplemented
423#396C2318yescomplemented
424#395C2318yescomplemented
425#394C2318yes—
426#394C2318yes—
427#394C2318yes—
428#394C2318yes—
429#394C2318yes—
430#394C2318yes—
431#394C2318yescomplemented
432#394C2318yescomplemented
433#394C2318yescomplemented
434#394C2318yescomplemented
435#394C2318yescomplemented
436#394C2318yescomplemented
437#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#393C2318yescomplemented
458#393C2318yescomplemented
459#393C2318yescomplemented
460#392C2318yes—
461#392C2318yes—
462#392C2318yes—
463#392C2318yes—
464#392C2318yes—
465#392C2318yes—
466#392C2318yes—
467#392C2318yes—
468#390C2318yes—
469#390C2318yes—
470#390C2318yescomplemented
471#390C2318yescomplemented
472#390C2318yescomplemented
473#390C2318yescomplemented
474#390C2318yescomplemented
475#390C2318yescomplemented
476#390C2318yescomplemented
477#390C2318yescomplemented
478#390C2318yescomplemented
479#390C2318yescomplemented
480#390C2318yescomplemented
481#389C2318yescomplemented
482#388C2318yescomplemented
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#388C2318yescomplemented
496#388C2318yescomplemented
497#388C2318yescomplemented
498#388C2318yescomplemented
499#388C2318yescomplemented
500#387C2318yescomplemented
501#387C2318yescomplemented
502#387C2318yescomplemented
503#387C2318yescomplemented
504#386C2318yes—
505#386C2318yes—
506#386C2318yescomplemented
507#386C2318yescomplemented
508#386C2318yescomplemented
509#386C2318yescomplemented
510#386C2318yescomplemented
511#386C2318yescomplemented
512#386C2318yescomplemented
513#385C2318yescomplemented
514#385C2318yescomplemented
515#385C2318yescomplemented
516#383C2318yescomplemented
517#381C2318yescomplemented
518#381C2318yescomplemented
519#380C2318yescomplemented
520#380C2318yescomplemented
521#380C2318yescomplemented
522#380C2318yescomplemented
523#379C2318yescomplemented
524#379C2318yescomplemented
525#379C2318yescomplemented
526#379C2318yescomplemented
527#379C2318yescomplemented
528#379C2318yescomplemented
529C4×C4⋊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—24no—
561C25—24no—
562C25—24no—
563C25—42no—
564C25—42no—
565C25—42no—
566C25—42no—
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
587C25C2411yescharacteristic
588C25C2414yes—
589C25C2414yes—
590C25C2414yes—
591C22×Q8—42no—
592C22×Q8—42no—
593C22×Q8—42no—
594C22×Q8C2414yes—
595C22×D4—24no—
596C22×D4—24no—
597C22×D4—24no—
598C22×D4—24no—
599C22×D4—24no—
600C22×D4—24no—
601C22×D4—24no—
602C22×D4—24no—
603C22×D4—24no—
604C22×D4—24no—
605C22×D4—24no—
606C22×D4—24no—
607C22×D4—24no—
608C22×D4—24no—
609C22×D4—24no—
610C22×D4—24no—
611C22×D4—416no—
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—416no—
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—416no—
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—42no—
681C23×C4—42no—
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×C4C2411yescharacteristic
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×C4C2414yes—
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2414yes—
715C23×C4C2414yes—
716C23×C4C2414yes—
717C23×C4C2414yes—
718#126—416no—
719#126—416no—
720#125—416no—
721#124—416no—
722#124—416no—
723#123—416no—
724#123—416no—
725C22⋊Q8—416no—
726#121—416no—
727#121—416no—
728#121—416no—
729#121—416no—
730#120—416no—
731#120—416no—
732#120—416no—
733#120—416no—
734#120—416no—
735#120—416no—
736#120—416no—
737#120—416no—
738#120—416no—
739#120—416no—
740#120—416no—
741C4×D4—416no—
742C4×D4—416no—
743C2×C4⋊C4—24no—
744C2×C4⋊C4—24no—
745C2×C4⋊C4—24no—
746C2×C4⋊C4—24no—
747C2×C4⋊C4—42no—
748C2×C4⋊C4—42no—
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⋊C4C2414yes—
768C2×C4⋊C4C2414yes—
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—416no—
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—42no—
821C2×C22⋊C4—42no—
822C2×C22⋊C4—42no—
823C2×C22⋊C4—42no—
824C2×C22⋊C4—42no—
825C2×C22⋊C4—42no—
826C2×C22⋊C4—42no—
827C2×C22⋊C4—42no—
828C2×C22⋊C4—42no—
829C2×C22⋊C4—42no—
830C2×C22⋊C4—42no—
831C2×C22⋊C4—42no—
832C2×C22⋊C4—42no—
833C2×C22⋊C4—42no—
834C2×C22⋊C4—42no—
835C2×C22⋊C4—42no—
836C2×C22⋊C4—42no—
837C2×C22⋊C4—42no—
838C2×C22⋊C4—42no—
839C2×C22⋊C4—42no—
840C2×C22⋊C4—42no—
841C2×C22⋊C4—42no—
842C2×C22⋊C4—42no—
843C2×C22⋊C4—42no—
844C2×C22⋊C4—42no—
845C2×C22⋊C4—42no—
846C2×C22⋊C4—42no—
847C2×C22⋊C4—42no—
848C2×C22⋊C4—42no—
849C2×C22⋊C4—42no—
850C2×C22⋊C4—42no—
851C2×C22⋊C4—42no—
852C2×C22⋊C4—42no—
853C2×C22⋊C4—42no—
854C2×C22⋊C4—42no—
855C2×C22⋊C4—42no—
856C2×C22⋊C4—42no—
857C2×C22⋊C4—42no—
858C2×C22⋊C4—42no—
859C2×C22⋊C4—42no—
860C2×C22⋊C4—42no—
861C2×C22⋊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×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C42—24no—
930C2×C42—42no—
931C2×C42—42no—
932C2×C42—42no—
933C2×C42—42no—
934C2×C42—42no—
935C2×C42—42no—
936C2×C42C2414yes—
937C2×C42C2414yes—
938C2×C42C2414yes—
939C2×C42C2414yes—
940C2×C42C2414yes—
941C2×C42C2414yes—
942C2×C42C2414yes—
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—
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—28no—
1025C24—28no—
1026C24—28no—
1027C24—28no—
1028C24—44no—
1029C24—44no—
1030C24—44no—
1031C24—44no—
1032C24—44no—
1033C24—44no—
1034C24—44no—
1035C24—44no—
1036C24—44no—
1037C24—44no—
1038C24—44no—
1039C24—44no—
1040C24—44no—
1041C24—44no—
1042C24—44no—
1043C24—44no—
1044C24—44no—
1045C24—416no—
1046C24—416no—
1047C24—416no—
1048C24—416no—
1049C24—88no—
1050C24—88no—
1051C24—88no—
1052C24—88no—
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—
1069C24C2512yes—
1070C24C2512yes—
1071C24C2512yes—
1072C24C2512yes—
1073C24C2512yes—
1074C24C2512yes—
1075C24C2512yes—
1076C24C2512yes—
1077C24C2511yescharacteristic
1078C2×Q8—44no—
1079C2×Q8—44no—
1080C2×Q8—44no—
1081C2×Q8—88no—
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—28no—
1094C2×D4—28no—
1095C2×D4—28no—
1096C2×D4—28no—
1097C2×D4—28no—
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—416no—
1109C2×D4—416no—
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—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—416no—
1142C2×D4—416no—
1143C2×D4—416no—
1144C2×D4—4128no—
1145C2×D4—416no—
1146C2×D4—88no—
1147C2×D4—88no—
1148C2×D4—88no—
1149C2×D4—88no—
1150C2×D4—88no—
1151C2×D4—88no—
1152C2×D4—88no—
1153C2×D4—88no—
1154C2×D4—88no—
1155C2×D4—88no—
1156C2×D4—88no—
1157C2×D4—88no—
1158C2×D4—88no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—28no—
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—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—28no—
1228C22×C4—28no—
1229C22×C4—28no—
1230C22×C4—28no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—416no—
1242C22×C4—88no—
1243C22×C4—88no—
1244C22×C4—88no—
1245C22×C4—88no—
1246C22×C4H(5,𝔽2)14yes—
1247C22×C4H(5,𝔽2)14yes—
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—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
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—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
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—44no—
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—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C42—28no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—44no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—28no—
1389C23—28no—
1390C23—28no—
1391C23—28no—
1392C23—28no—
1393C23—28no—
1394C23—28no—
1395C23—28no—
1396C23—28no—
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—416no—
1433C23—416no—
1434C23—416no—
1435C23—416no—
1436C23—44no—
1437C23—44no—
1438C23—44no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—44no—
1449C23—44no—
1450C23—44no—
1451C23—44no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—88no—
1484C23—88no—
1485C23—88no—
1486C23—88no—
1487C23—88no—
1488C23—88no—
1489C23—88no—
1490C23—88no—
1491C23—88no—
1492C23—88no—
1493C23—88no—
1494C23—88no—
1495C23—88no—
1496C23—88no—
1497C23—88no—
1498C23—88no—
1499C23—88no—
1500C23—864no—
1501C23—864no—
1502C23—864no—
1503C23C2×H(5,𝔽2)14yes—
1504C23C2×H(5,𝔽2)14yes—
1505C23C2×H(5,𝔽2)14yes—
1506C23C2×H(5,𝔽2)12yes—
1507C23C2×H(5,𝔽2)12yes—
1508C23C2×H(5,𝔽2)12yes—
1509C23C2×H(5,𝔽2)12yes—
1510C23C2×H(5,𝔽2)12yes—
1511C23#58512yes—
1512C23#58512yes—
1513C23C2611yescharacteristic
1514Q8—88no—
1515D4—416no—
1516D4—416no—
1517D4—416no—
1518D4—416no—
1519D4—416no—
1520D4—416no—
1521D4—88no—
1522D4—88no—
1523D4—88no—
1524D4—88no—
1525D4—88no—
1526D4—88no—
1527D4—88no—
1528D4—88no—
1529D4—88no—
1530D4—88no—
1531D4—88no—
1532D4—88no—
1533D4—88no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—28no—
1539C2×C4—28no—
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—416no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—88no—
1626C2×C4—88no—
1627C2×C4—88no—
1628C2×C4—88no—
1629C2×C4C2×H(5,𝔽2)14yes—
1630C2×C4C2×H(5,𝔽2)14yes—
1631C22—24no—
1632C22—24no—
1633C22—24no—
1634C22—24no—
1635C22—24no—
1636C22—24no—
1637C22—24no—
1638C22—24no—
1639C22—24no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—416no—
1648C22—416no—
1649C22—416no—
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—832no—
1691C22—832no—
1692C22—832no—
1693C22—88no—
1694C22—88no—
1695C22—88no—
1696C22—88no—
1697C22—88no—
1698C22#353214yes—
1699C22#353414yes—
1700C22#353714yes—
1701C22#354214yes—
1702C22#354214yes—
1703C22#354514yes—
1704C22#355814yes—
1705C22C22×H(5,𝔽2)11yescharacteristic
1706C22C22×H(5,𝔽2)11yescharacteristic
1707C22C22×H(5,𝔽2)11yescharacteristic
1708C22C22×H(5,𝔽2)11yescharacteristic
1709C22C22×H(5,𝔽2)11yescharacteristic
1710C22C2×#58511yescharacteristic
1711C22C2×#58511yescharacteristic
1712C4—24no—
1713C4—24no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C2—44no—
1736C2—44no—
1737C2—44no—
1738C2—82no—
1739C2—82no—
1740C2—82no—
1741C2—82no—
1742C2—82no—
1743C2#5492118yesdirect product factor
1744C2C2×#353211yescharacteristic
1745C2C2×#354211yescharacteristic
1746C2C2×#354211yescharacteristic
1747C2C2×#353411yescharacteristic
1748C2C2×#353711yescharacteristic
1749C2C2×#355811yescharacteristic
1750C2C2×#354511yescharacteristic
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. #54921C2direct (N × H)
2. C2×#2803C2semidirect
3. C2×#2756C2semidirect
4. C2×#2756C2semidirect
5. C2×#2752C2semidirect
6. C2×#2737C2semidirect
7. C2×#2711C2semidirect
8. C2×#2707C2semidirect
9. C2×#2685C2semidirect
10. C2×#2685C2semidirect
11. C2×#2685C2semidirect
12. C2×#2684C2semidirect
13. C2×#2679C2semidirect
14. C2×#2679C2semidirect
15. C2×#2678C2semidirect
16. C2×#2672C2semidirect
17. C2×#2670C2semidirect
18. C2×#2829C2semidirect
19. C2×#2829C2semidirect
20. C2×#2816C2semidirect
21. C2×#2534C2semidirect
22. C2×#2490C2semidirect
23. C2×#2468C2semidirect
24. C2×#2408C2semidirect
25. C2×#2467C2semidirect
26. C2×#2472C2semidirect
27. C2×#2424C2semidirect
28. C2×#2418C2semidirect
29. C2×#2410C2semidirect
30. C2×#2662C2semidirect
31. C2×#2617C2semidirect
32. C2×#2613C2semidirect
33. C24×D4C22semidirect
34. C22×#126C22semidirect
35. C22×#126C22semidirect
36. C22×#125C22semidirect
37. C22×#124C22semidirect
38. C22×#124C22semidirect
40. C22×#123C22semidirect
41. C22×C22⋊Q8C22semidirect
53. C22×#120C22semidirect
54. C22×#120C22semidirect
55. C22×#120C22semidirect
56. C22×#120C22semidirect
58. C22×C4×D4C22semidirect
59. C23×C22⋊C4C22semidirect
60. C23×C22⋊C4C22semidirect
61. #2829C22semidirect
62. #2829C22semidirect
63. #2816C22semidirect
64. #2803C22semidirect
65. #2756C22semidirect
66. #2756C22semidirect
67. #2752C22semidirect
68. #2737C22semidirect
69. #2711C22semidirect
70. #2707C22semidirect
71. #2685C22semidirect
72. #2685C22semidirect
73. #2685C22semidirect
74. #2684C22semidirect
75. #2679C22semidirect
76. #2679C22semidirect
77. #2678C22semidirect
78. #2672C22semidirect
79. #2670C22semidirect
80. #2662C22semidirect
81. #2617C22semidirect
82. #2613C22semidirect
83. #2534C22semidirect
84. #2490C22semidirect
85. #2472C22semidirect
86. #2468C22semidirect
87. #2467C22semidirect
88. #2424C22semidirect
89. #2418C22semidirect
90. #2410C22semidirect
91. #2408C22semidirect
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×#396C22semidirect
107. C2×#396C22semidirect
108. C2×#396C22semidirect
109. C2×#396C22semidirect
110. C2×#396C22semidirect
111. C2×#396C22semidirect
112. C2×#395C22semidirect
119. C2×#394C22semidirect
120. C2×#394C22semidirect
121. C2×#394C22semidirect
122. C2×#394C22semidirect
123. C2×#394C22semidirect
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×#393C22semidirect
146. C2×#393C22semidirect
147. C2×#393C22semidirect
158. C2×#390C22semidirect
159. C2×#390C22semidirect
160. C2×#390C22semidirect
161. C2×#390C22semidirect
162. C2×#390C22semidirect
163. C2×#390C22semidirect
164. C2×#390C22semidirect
165. C2×#390C22semidirect
166. C2×#390C22semidirect
167. C2×#390C22semidirect
168. C2×#390C22semidirect
169. C2×#389C22semidirect
170. C2×#388C22semidirect
171. C2×#388C22semidirect
172. C2×#388C22semidirect
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×#388C22semidirect
186. C2×#388C22semidirect
187. C2×#388C22semidirect
188. C2×#387C22semidirect
189. C2×#387C22semidirect
190. C2×#387C22semidirect
191. C2×#387C22semidirect
194. C2×#386C22semidirect
195. C2×#386C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
198. C2×#386C22semidirect
199. C2×#386C22semidirect
200. C2×#386C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#383C22semidirect
205. C2×#381C22semidirect
206. C2×#381C22semidirect
207. C2×#380C22semidirect
208. C2×#380C22semidirect
209. C2×#380C22semidirect
210. C2×#380C22semidirect
211. C2×#379C22semidirect
212. C2×#379C22semidirect
213. C2×#379C22semidirect
214. C2×#379C22semidirect
215. C2×#379C22semidirect
216. C2×#379C22semidirect
217. C2×C4×C4⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
245. C23×D4C23semidirect
253. C2×#126C23semidirect
254. C2×#126C23semidirect
256. C2×#125C23semidirect
259. C2×#124C23semidirect
260. C2×#124C23semidirect
264. C2×#123C23semidirect
266. C2×C22⋊Q8C23semidirect
293. C2×#120C23semidirect
294. C2×#120C23semidirect
295. C2×#120C23semidirect
296. C2×#120C23semidirect
300. C2×C4×D4C23semidirect
395. C22×C22⋊C4C23semidirect
396. C22×C22⋊C4C23semidirect
404. #399C23semidirect
405. #399C23semidirect
406. #399C23semidirect
407. #399C23semidirect
408. #398C23semidirect
409. #398C23semidirect
410. #398C23semidirect
411. #397C23semidirect
412. #397C23semidirect
413. #397C23semidirect
414. #397C23semidirect
415. #397C23semidirect
416. #397C23semidirect
417. #397C23semidirect
418. #396C23semidirect
419. #396C23semidirect
420. #396C23semidirect
421. #396C23semidirect
422. #396C23semidirect
423. #396C23semidirect
424. #395C23semidirect
431. #394C23semidirect
432. #394C23semidirect
433. #394C23semidirect
434. #394C23semidirect
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. #393C23semidirect
458. #393C23semidirect
459. #393C23semidirect
470. #390C23semidirect
471. #390C23semidirect
472. #390C23semidirect
473. #390C23semidirect
474. #390C23semidirect
475. #390C23semidirect
476. #390C23semidirect
477. #390C23semidirect
478. #390C23semidirect
479. #390C23semidirect
480. #390C23semidirect
481. #389C23semidirect
482. #388C23semidirect
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. #388C23semidirect
496. #388C23semidirect
497. #388C23semidirect
498. #388C23semidirect
499. #388C23semidirect
500. #387C23semidirect
501. #387C23semidirect
502. #387C23semidirect
503. #387C23semidirect
506. #386C23semidirect
507. #386C23semidirect
508. #386C23semidirect
509. #386C23semidirect
510. #386C23semidirect
511. #386C23semidirect
512. #386C23semidirect
513. #385C23semidirect
514. #385C23semidirect
515. #385C23semidirect
516. #383C23semidirect
517. #381C23semidirect
518. #381C23semidirect
519. #380C23semidirect
520. #380C23semidirect
521. #380C23semidirect
522. #380C23semidirect
523. #379C23semidirect
524. #379C23semidirect
525. #379C23semidirect
526. #379C23semidirect
527. #379C23semidirect
528. #379C23semidirect
529. C4×C4⋊C4C23semidirect
530. C4×C22⋊C4C23semidirect
1743. C2#54921direct (N × H)

Maximal subgroups

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

subgroupindex
#549212
C2×#28032
C2×#27562
C2×#27522
C2×#27372
C2×#27112
C2×#27072
C2×#26852
C2×#26842
C2×#26792
C2×#26782
C2×#26722
C2×#26702
C2×#28292
C2×#28162
C2×#25342
C2×#24902
C2×#24682
C2×#24082
C2×#24672
C2×#24722
C2×#24242
C2×#24182
C2×#24102
C2×#26622
C2×#26172
C2×#26132