Finite Group Databasebeta

← C2×#52361 #8092312

Subgroups — C2×#52361 #8092312

Order 512.

5746 conjugacy classes of subgroups.

The subgroup lattice has 1510 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52361C2132yesmaximal, direct product factor
2C2×#2783C211yesmaximal, characteristic, complemented
3C2×#2761C211yesmaximal, characteristic, complemented
4C2×#2721C211yesmaximal, characteristic, complemented
5C2×#2707C211yesmaximal, characteristic, complemented
6C2×#2705C211yesmaximal, characteristic, complemented
7C2×#2685C211yesmaximal, characteristic, complemented
8C2×#2685C211yesmaximal, characteristic, complemented
9C2×#2670C211yesmaximal, characteristic
10C2×#2823C211yesmaximal, characteristic, complemented
11C2×#2820C211yesmaximal, characteristic, complemented
12C2×#2820C211yesmaximal, characteristic, complemented
13C2×#2841C211yesmaximal, characteristic, complemented
14C2×#2842C211yesmaximal, characteristic, complemented
15C2×#2829C211yesmaximal, characteristic, complemented
16C2×#2829C211yesmaximal, characteristic, complemented
17C2×#2837C211yesmaximal, characteristic, complemented
18C2×#2566C211yesmaximal, characteristic, complemented
19C2×#2574C211yesmaximal, characteristic, complemented
20C2×#2558C211yesmaximal, characteristic, complemented
21C2×#2534C211yesmaximal, characteristic, complemented
22C2×#2519C211yesmaximal, characteristic, complemented
23C2×#2519C211yesmaximal, characteristic, complemented
24C2×#2521C211yesmaximal, characteristic, complemented
25C2×#2479C211yesmaximal, characteristic, complemented
26C2×#2474C211yesmaximal, characteristic, complemented
27C2×#2454C211yesmaximal, characteristic, complemented
28C2×#2480C211yesmaximal, characteristic, complemented
29C2×#2418C211yesmaximal, characteristic, complemented
30C2×#2636C211yesmaximal, characteristic, complemented
31C2×#2630C211yesmaximal, characteristic, complemented
32C2×#2392C211yesmaximal, characteristic, complemented
33C22×#126C2211yescharacteristic
34C22×#126C2211yescharacteristic
35C22×#126C2211yescharacteristic
36C22×#126C2211yescharacteristic, complemented
37C22×#125C2211yescharacteristic, complemented
38C22×#125C2211yescharacteristic, complemented
39C22×#125C2211yescharacteristic, complemented
40C22×#124C2211yescharacteristic
41C22×#124C2211yescharacteristic
42C22×#123C2211yescharacteristic
43C22×#123C2211yescharacteristic
44C22×#120C2211yescharacteristic
45C22×#120C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic, complemented
49C22×#117C2211yescharacteristic, complemented
50C23×C22⋊C4C2211yescharacteristic
51#2842C22116yescomplemented
52#2841C22116yescomplemented
53#2837C22116yescomplemented
54#2829C22116yescomplemented
55#2829C22116yescomplemented
56#2823C22116yescomplemented
57#2820C22116yescomplemented
58#2820C22116yescomplemented
59#2783C22116yescomplemented
60#2761C22116yescomplemented
61#2721C22116yescomplemented
62#2707C22116yescomplemented
63#2705C22116yescomplemented
64#2685C22116yescomplemented
65#2685C22116yescomplemented
66#2670C22116yes—
67#2636C22116yescomplemented
68#2630C22116yescomplemented
69#2574C22116yescomplemented
70#2566C22116yescomplemented
71#2558C22116yescomplemented
72#2534C22116yescomplemented
73#2521C22116yescomplemented
74#2519C22116yescomplemented
75#2519C22116yescomplemented
76#2480C22116yescomplemented
77#2479C22116yescomplemented
78#2474C22116yescomplemented
79#2454C22116yescomplemented
80#2418C22116yescomplemented
81C2×#400C2211yescharacteristic, complemented
82C2×#400C2211yescharacteristic, complemented
83C2×#399C2211yescharacteristic
84C2×#399C2211yescharacteristic
85C2×#399C2211yescharacteristic
86C2×#399C2211yescharacteristic
87C2×#399C2211yescharacteristic
88C2×#399C2211yescharacteristic
89C2×#399C2211yescharacteristic
90C2×#399C2211yescharacteristic, complemented
91C2×#399C2211yescharacteristic, complemented
92#2392C22116yescomplemented
93C2×#398C2211yescharacteristic, complemented
94C2×#398C2211yescharacteristic, complemented
95C2×#398C2211yescharacteristic, complemented
96C2×#398C2211yescharacteristic, complemented
97C2×#398C2211yescharacteristic, complemented
98C2×#398C2211yescharacteristic, complemented
99C2×#398C2211yescharacteristic, complemented
100C2×#398C2211yescharacteristic, complemented
101C2×#397C2211yescharacteristic
102C2×#397C2211yescharacteristic
103C2×#397C2211yescharacteristic
104C2×#397C2211yescharacteristic
105C2×#397C2211yescharacteristic, complemented
106C2×#397C2211yescharacteristic, complemented
107C2×#397C2211yescharacteristic, complemented
108C2×#397C2211yescharacteristic, complemented
109C2×#396C2211yescharacteristic
110C2×#396C2211yescharacteristic
111C2×#396C2211yescharacteristic
112C2×#396C2211yescharacteristic
113C2×#396C2211yescharacteristic
114C2×#396C2211yescharacteristic
115C2×#396C2211yescharacteristic
116C2×#396C2211yescharacteristic
117C2×#396C2211yescharacteristic
118C2×#396C2211yescharacteristic
119C2×#396C2211yescharacteristic
120C2×#396C2211yescharacteristic
121C2×#396C2211yescharacteristic
122C2×#396C2211yescharacteristic, complemented
123C2×#396C2211yescharacteristic, complemented
124C2×#396C2211yescharacteristic, complemented
125C2×#396C2211yescharacteristic, complemented
126C2×#396C2211yescharacteristic, complemented
127C2×#396C2211yescharacteristic, complemented
128C2×#396C2211yescharacteristic, complemented
129C2×#396C2211yescharacteristic, complemented
130C2×#395C2211yescharacteristic, complemented
131C2×#395C2211yescharacteristic, complemented
132C2×#395C2211yescharacteristic, complemented
133C2×#394C2211yescharacteristic
134C2×#394C2211yescharacteristic
135C2×#394C2211yescharacteristic
136C2×#394C2211yescharacteristic
137C2×#394C2211yescharacteristic
138C2×#394C2211yescharacteristic
139C2×#394C2211yescharacteristic
140C2×#394C2211yescharacteristic
141C2×#394C2211yescharacteristic
142C2×#394C2211yescharacteristic
143C2×#394C2211yescharacteristic
144C2×#394C2211yescharacteristic
145C2×#394C2211yescharacteristic
146C2×#394C2211yescharacteristic
147C2×#394C2211yescharacteristic, complemented
148C2×#394C2211yescharacteristic, complemented
149C2×#394C2211yescharacteristic, complemented
150C2×#393C2211yescharacteristic
151C2×#392C2211yescharacteristic
152C2×#392C2211yescharacteristic
153C2×#392C2211yescharacteristic
154C2×#391C2211yescharacteristic, complemented
155C2×#390C2211yescharacteristic
156C2×#390C2211yescharacteristic
157C2×#390C2211yescharacteristic
158C2×#390C2211yescharacteristic
159C2×#390C2211yescharacteristic
160C2×#390C2211yescharacteristic
161C2×#389C2211yescharacteristic, complemented
162C2×#389C2211yescharacteristic, complemented
163C2×#389C2211yescharacteristic, complemented
164C2×#389C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic
166C2×#388C2211yescharacteristic
167C2×#388C2211yescharacteristic
168C2×#388C2211yescharacteristic
169C2×#388C2211yescharacteristic
170C2×#388C2211yescharacteristic
171C2×#388C2211yescharacteristic
172C2×#388C2211yescharacteristic
173C2×#388C2211yescharacteristic
174C2×#388C2211yescharacteristic
175C2×#388C2211yescharacteristic
176C2×#388C2211yescharacteristic
177C2×#388C2211yescharacteristic
178C2×#388C2211yescharacteristic
179C2×#388C2211yescharacteristic
180C2×#388C2211yescharacteristic, complemented
181C2×#388C2211yescharacteristic, complemented
182C2×#388C2211yescharacteristic, complemented
183C2×#387C2211yescharacteristic, complemented
184C2×#387C2211yescharacteristic, complemented
185C2×#387C2211yescharacteristic, complemented
186C2×#387C2211yescharacteristic, complemented
187C2×#387C2211yescharacteristic, complemented
188C2×#387C2211yescharacteristic, complemented
189C2×#387C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#385C2211yescharacteristic
195C2×#385C2211yescharacteristic
196C2×#385C2211yescharacteristic
197C2×#385C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#384C2211yescharacteristic, complemented
201C2×#382C2211yescharacteristic, complemented
202C2×#382C2211yescharacteristic, complemented
203C2×#382C2211yescharacteristic, complemented
204C2×#381C2211yescharacteristic
205C2×#380C2211yescharacteristic
206C2×#380C2211yescharacteristic
207C2×#380C2211yescharacteristic
208C2×#380C2211yescharacteristic, complemented
209C2×#379C2211yescharacteristic
210C2×#379C2211yescharacteristic
211C2×#379C2211yescharacteristic
212C2×#379C2211yescharacteristic
213C2×C4×C4⋊C4C2211yescharacteristic, complemented
214C2×C4×C4⋊C4C2211yescharacteristic, complemented
215C2×C4×C4⋊C4C2211yescharacteristic, complemented
216C2×C4×C4⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C24×C4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C2×#126—44no—
233C2×#126—44no—
234C2×#126—44no—
235C2×#126—44no—
236C2×#126C2318yes—
237C2×#126C2318yes—
238C2×#126C2318yes—
239C2×#126C2318yescomplemented
240C2×#125—44no—
241C2×#125—44no—
242C2×#125—44no—
243C2×#125C2318yescomplemented
244C2×#125C2318yescomplemented
245C2×#125C2318yescomplemented
246C2×#124—44no—
247C2×#124—44no—
248C2×#124C2318yes—
249C2×#124C2318yes—
250C2×#123—44no—
251C2×#123—44no—
252C2×#123C2318yes—
253C2×#123C2318yes—
254C2×#120—44no—
255C2×#120—44no—
256C2×#120C2318yes—
257C2×#120C2318yes—
258C2×C4×D4—44no—
259C2×C4×D4—44no—
260C2×C4×D4—44no—
261C2×C4×D4C2318yes—
262C2×C4×D4C2318yes—
263C2×C4×D4C2318yescomplemented
264C2×#117—44no—
265C2×#117C2318yescomplemented
266C22×C4⋊C4C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C22⋊C4—44no—
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊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⋊C4C2318yes—
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374#400C2318yescomplemented
375#400C2318yescomplemented
376#399C2318yes—
377#399C2318yes—
378#399C2318yes—
379#399C2318yes—
380#399C2318yes—
381#399C2318yes—
382#399C2318yes—
383#399C2318yescomplemented
384#399C2318yescomplemented
385#398C2318yescomplemented
386#398C2318yescomplemented
387#398C2318yescomplemented
388#398C2318yescomplemented
389#398C2318yescomplemented
390#398C2318yescomplemented
391#398C2318yescomplemented
392#398C2318yescomplemented
393#397C2318yes—
394#397C2318yes—
395#397C2318yes—
396#397C2318yes—
397#397C2318yescomplemented
398#397C2318yescomplemented
399#397C2318yescomplemented
400#397C2318yescomplemented
401#396C2318yes—
402#396C2318yes—
403#396C2318yes—
404#396C2318yes—
405#396C2318yes—
406#396C2318yes—
407#396C2318yes—
408#396C2318yes—
409#396C2318yes—
410#396C2318yes—
411#396C2318yes—
412#396C2318yes—
413#396C2318yes—
414#396C2318yescomplemented
415#396C2318yescomplemented
416#396C2318yescomplemented
417#396C2318yescomplemented
418#396C2318yescomplemented
419#396C2318yescomplemented
420#396C2318yescomplemented
421#396C2318yescomplemented
422#395C2318yescomplemented
423#395C2318yescomplemented
424#395C2318yescomplemented
425#394C2318yes—
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#394C2318yescomplemented
440#394C2318yescomplemented
441#394C2318yescomplemented
442#393C2318yes—
443#392C2318yes—
444#392C2318yes—
445#392C2318yes—
446#391C2318yescomplemented
447#390C2318yes—
448#390C2318yes—
449#390C2318yes—
450#390C2318yes—
451#390C2318yes—
452#390C2318yes—
453#389C2318yescomplemented
454#389C2318yescomplemented
455#389C2318yescomplemented
456#389C2318yescomplemented
457#388C2318yes—
458#388C2318yes—
459#388C2318yes—
460#388C2318yes—
461#388C2318yes—
462#388C2318yes—
463#388C2318yes—
464#388C2318yes—
465#388C2318yes—
466#388C2318yes—
467#388C2318yes—
468#388C2318yes—
469#388C2318yes—
470#388C2318yes—
471#388C2318yes—
472#388C2318yescomplemented
473#388C2318yescomplemented
474#388C2318yescomplemented
475#387C2318yescomplemented
476#387C2318yescomplemented
477#387C2318yescomplemented
478#387C2318yescomplemented
479#387C2318yescomplemented
480#387C2318yescomplemented
481#387C2318yescomplemented
482#386C2318yes—
483#386C2318yes—
484#386C2318yes—
485#386C2318yes—
486#385C2318yes—
487#385C2318yes—
488#385C2318yes—
489#385C2318yescomplemented
490#385C2318yescomplemented
491#385C2318yescomplemented
492#384C2318yescomplemented
493#382C2318yescomplemented
494#382C2318yescomplemented
495#382C2318yescomplemented
496#381C2318yes—
497#380C2318yes—
498#380C2318yes—
499#380C2318yes—
500#380C2318yescomplemented
501#379C2318yes—
502#379C2318yes—
503#379C2318yes—
504#379C2318yes—
505C4×C4⋊C4C2318yescomplemented
506C4×C4⋊C4C2318yescomplemented
507C4×C4⋊C4C2318yescomplemented
508C4×C4⋊C4C2318yescomplemented
509C4×C22⋊C4C2318yes—
510C4×C22⋊C4C2318yescomplemented
511C2×#95C2311yescharacteristic
512C2×#95C2311yescharacteristic
513C2×#95C2311yescharacteristic
514C2×#95C2311yescharacteristic
515C2×#95C2311yescharacteristic
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C25—24no—
548C25—42no—
549C25—42no—
550C25—42no—
551C25—42no—
552C25—42no—
553C25—42no—
554C25C2411yescharacteristic
555C25C2411yescharacteristic
556C25C2411yescharacteristic
557C25C2411yescharacteristic
558C25C2411yescharacteristic
559C25C2414yes—
560C22×Q8—42no—
561C22×Q8—42no—
562C22×Q8—42no—
563C22×Q8C2414yes—
564C22×D4—24no—
565C22×D4—24no—
566C22×D4—24no—
567C22×D4—24no—
568C22×D4—42no—
569C22×D4—42no—
570C22×D4—42no—
571C22×D4—42no—
572C22×D4—42no—
573C22×D4—42no—
574C22×D4—42no—
575C22×D4—42no—
576C22×D4—42no—
577C22×D4—42no—
578C22×D4—42no—
579C22×D4—42no—
580C22×D4—42no—
581C22×D4—42no—
582C22×D4—42no—
583C22×D4—42no—
584C22×D4—42no—
585C22×D4C2414yes—
586C22×D4C2414yes—
587C22×D4C2414yes—
588C22×D4C2414yes—
589C22×D4C2414yes—
590C22×D4C2414yes—
591C22×D4C2414yes—
592C23×C4—24no—
593C23×C4—24no—
594C23×C4—24no—
595C23×C4—24no—
596C23×C4—42no—
597C23×C4—42no—
598C23×C4—42no—
599C23×C4—42no—
600C23×C4—42no—
601C23×C4—42no—
602C23×C4—42no—
603C23×C4—42no—
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607C23×C4C2411yescharacteristic
608C23×C4C2411yescharacteristic
609C23×C4C2411yescharacteristic
610C23×C4C2411yescharacteristic
611C23×C4C2411yescharacteristic
612C23×C4C2411yescharacteristic
613C23×C4C2411yescharacteristic
614C23×C4C2411yescharacteristic
615C23×C4C2411yescharacteristic
616C23×C4C2411yescharacteristic
617C23×C4C2411yescharacteristic
618C23×C4C2411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625C23×C4C2411yescharacteristic
626C23×C4C2411yescharacteristic
627C23×C4C2411yescharacteristic
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2414yes—
631C23×C4C2414yes—
632C23×C4C2414yes—
633C23×C4C2414yes—
634#126—416no—
635#126—416no—
636#126—416no—
637#126—416no—
638#125—416no—
639#125—416no—
640#125—416no—
641#124—416no—
642#124—416no—
643#123—416no—
644#123—416no—
645#120—416no—
646#120—416no—
647C4×D4—416no—
648C4×D4—416no—
649C4×D4—416no—
650#117—416no—
651C2×C4⋊C4—24no—
652C2×C4⋊C4—24no—
653C2×C4⋊C4—24no—
654C2×C4⋊C4—24no—
655C2×C4⋊C4—24no—
656C2×C4⋊C4—24no—
657C2×C4⋊C4—24no—
658C2×C4⋊C4—24no—
659C2×C4⋊C4—42no—
660C2×C4⋊C4—42no—
661C2×C4⋊C4—42no—
662C2×C4⋊C4—42no—
663C2×C4⋊C4—42no—
664C2×C4⋊C4—42no—
665C2×C4⋊C4—42no—
666C2×C4⋊C4—42no—
667C2×C4⋊C4—42no—
668C2×C4⋊C4—42no—
669C2×C4⋊C4—42no—
670C2×C4⋊C4—42no—
671C2×C4⋊C4—42no—
672C2×C4⋊C4—42no—
673C2×C4⋊C4—42no—
674C2×C4⋊C4—42no—
675C2×C4⋊C4—42no—
676C2×C4⋊C4—42no—
677C2×C4⋊C4—42no—
678C2×C4⋊C4—42no—
679C2×C4⋊C4—42no—
680C2×C4⋊C4—42no—
681C2×C4⋊C4—42no—
682C2×C4⋊C4—42no—
683C2×C4⋊C4—42no—
684C2×C4⋊C4—42no—
685C2×C4⋊C4—42no—
686C2×C4⋊C4—42no—
687C2×C4⋊C4—42no—
688C2×C4⋊C4—42no—
689C2×C4⋊C4—42no—
690C2×C4⋊C4—42no—
691C2×C4⋊C4—42no—
692C2×C4⋊C4—42no—
693C2×C4⋊C4C2414yes—
694C2×C4⋊C4C2414yes—
695C2×C4⋊C4C2414yes—
696C2×C4⋊C4C2414yes—
697C2×C4⋊C4C2414yes—
698C2×C4⋊C4C2414yes—
699C2×C4⋊C4C2414yes—
700C2×C4⋊C4C2414yes—
701C2×C4⋊C4C2414yes—
702C2×C4⋊C4C2414yes—
703C2×C4⋊C4C2414yes—
704C2×C4⋊C4C2414yes—
705C2×C4⋊C4C2414yes—
706C2×C4⋊C4C2414yes—
707C2×C4⋊C4C2414yes—
708C2×C4⋊C4C2414yes—
709C2×C4⋊C4C2414yes—
710C2×C4⋊C4C2414yes—
711C2×C4⋊C4C2414yes—
712C2×C4⋊C4C2414yes—
713C2×C4⋊C4C2414yes—
714C2×C4⋊C4C2414yes—
715C2×C4⋊C4C2414yes—
716C2×C4⋊C4C2414yes—
717C2×C4⋊C4C2414yes—
718C2×C4⋊C4C2414yes—
719C2×C4⋊C4C2414yes—
720C2×C4⋊C4C2414yes—
721C2×C4⋊C4C2414yes—
722C2×C4⋊C4C2414yes—
723C2×C4⋊C4C2414yes—
724C2×C4⋊C4C2414yes—
725C2×C4⋊C4C2414yes—
726C2×C4⋊C4C2414yes—
727C2×C4⋊C4C2414yes—
728C2×C4⋊C4C2414yes—
729C2×C4⋊C4C2414yes—
730C2×C4⋊C4C2414yes—
731C2×C4⋊C4C2414yes—
732C2×C4⋊C4C2414yes—
733C2×C4⋊C4C2414yes—
734C2×C4⋊C4C2414yes—
735C2×C22⋊C4—24no—
736C2×C22⋊C4—24no—
737C2×C22⋊C4—24no—
738C2×C22⋊C4—24no—
739C2×C22⋊C4—24no—
740C2×C22⋊C4—24no—
741C2×C22⋊C4—24no—
742C2×C22⋊C4—24no—
743C2×C22⋊C4—24no—
744C2×C22⋊C4—416no—
745C2×C22⋊C4—42no—
746C2×C22⋊C4—42no—
747C2×C22⋊C4—42no—
748C2×C22⋊C4—42no—
749C2×C22⋊C4—42no—
750C2×C22⋊C4—42no—
751C2×C22⋊C4—42no—
752C2×C22⋊C4—42no—
753C2×C22⋊C4—42no—
754C2×C22⋊C4—42no—
755C2×C22⋊C4—42no—
756C2×C22⋊C4—42no—
757C2×C22⋊C4—42no—
758C2×C22⋊C4—42no—
759C2×C22⋊C4—42no—
760C2×C22⋊C4—42no—
761C2×C22⋊C4—42no—
762C2×C22⋊C4—42no—
763C2×C22⋊C4—42no—
764C2×C22⋊C4—42no—
765C2×C22⋊C4—42no—
766C2×C22⋊C4—42no—
767C2×C22⋊C4—42no—
768C2×C22⋊C4—42no—
769C2×C22⋊C4—42no—
770C2×C22⋊C4—42no—
771C2×C22⋊C4—42no—
772C2×C22⋊C4—42no—
773C2×C22⋊C4—42no—
774C2×C22⋊C4—42no—
775C2×C22⋊C4—42no—
776C2×C22⋊C4—42no—
777C2×C22⋊C4—42no—
778C2×C22⋊C4—42no—
779C2×C22⋊C4—42no—
780C2×C22⋊C4—42no—
781C2×C22⋊C4—42no—
782C2×C22⋊C4—42no—
783C2×C22⋊C4—42no—
784C2×C22⋊C4—42no—
785C2×C22⋊C4—42no—
786C2×C22⋊C4—42no—
787C2×C22⋊C4—42no—
788C2×C22⋊C4—42no—
789C2×C22⋊C4—42no—
790C2×C22⋊C4C2414yes—
791C2×C22⋊C4C2414yes—
792C2×C22⋊C4C2414yes—
793C2×C22⋊C4C2414yes—
794C2×C22⋊C4C2414yes—
795C2×C22⋊C4C2414yes—
796C2×C22⋊C4C2414yes—
797C2×C22⋊C4C2414yes—
798C2×C22⋊C4C2414yes—
799C2×C22⋊C4C2414yes—
800C2×C22⋊C4C2414yes—
801C2×C22⋊C4C2414yes—
802C2×C22⋊C4C2414yes—
803C2×C22⋊C4C2414yes—
804C2×C22⋊C4C2414yes—
805C2×C22⋊C4C2414yes—
806C2×C22⋊C4C2414yes—
807C2×C22⋊C4C2414yes—
808C2×C22⋊C4C2414yes—
809C2×C22⋊C4C2414yes—
810C2×C22⋊C4C2414yes—
811C2×C22⋊C4C2414yes—
812C2×C22⋊C4C2414yes—
813C2×C22⋊C4C2414yes—
814C2×C22⋊C4C2414yes—
815C2×C22⋊C4C2414yes—
816C2×C22⋊C4C2414yes—
817C2×C22⋊C4C2414yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2414yes—
821C2×C22⋊C4C2414yes—
822C2×C22⋊C4C2414yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×C22⋊C4C2414yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C42—24no—
845C2×C42—24no—
846C2×C42—24no—
847C2×C42—24no—
848C2×C42—24no—
849C2×C42—24no—
850C2×C42—42no—
851C2×C42—42no—
852C2×C42—42no—
853C2×C42—42no—
854C2×C42C2414yes—
855C2×C42C2414yes—
856C2×C42C2414yes—
857C2×C42C2414yes—
858C2×C42C2414yes—
859C2×C42C2414yes—
860C2×C42C2414yes—
861C2×C42C2414yes—
862C2×C42C2414yes—
863C2×C42C2414yes—
864#95C2414yes—
865#95C2414yes—
866#95C2414yes—
867#95C2414yes—
868#95C2414yes—
869#95C2414yes—
870#95C2414yes—
871#95C2414yes—
872#95C2414yes—
873#95C2414yes—
874#95C2414yes—
875#95C2414yes—
876#95C2414yes—
877#95C2414yes—
878#95C2414yes—
879#95C2414yes—
880#95C2414yes—
881#95C2414yes—
882#95C2414yes—
883#95C2414yes—
884#95C2414yes—
885#95C2414yes—
886#95C2414yes—
887#95C2414yes—
888#95C2414yes—
889#95C2414yes—
890#95C2414yes—
891#95C2414yes—
892#95C2414yes—
893#95C2414yes—
894#95C2414yes—
895#95C2414yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899#95C2414yes—
900C24—22no—
901C24—22no—
902C24—22no—
903C24—22no—
904C24—22no—
905C24—22no—
906C24—22no—
907C24—22no—
908C24—22no—
909C24—22no—
910C24—22no—
911C24—22no—
912C24—22no—
913C24—22no—
914C24—22no—
915C24—22no—
916C24—22no—
917C24—22no—
918C24—22no—
919C24—22no—
920C24—22no—
921C24—22no—
922C24—22no—
923C24—22no—
924C24—22no—
925C24—22no—
926C24—22no—
927C24—22no—
928C24—22no—
929C24—22no—
930C24—22no—
931C24—22no—
932C24—22no—
933C24—22no—
934C24—28no—
935C24—44no—
936C24—44no—
937C24—44no—
938C24—44no—
939C24—44no—
940C24—44no—
941C24—416no—
942C24—88no—
943C24—88no—
944C24—88no—
945C24—88no—
946C24—88no—
947C24—88no—
948C242−1+414yes—
949C24C2512yes—
950C24C2512yes—
951C24C2512yes—
952C24C2512yes—
953C24C2512yes—
954C24C2511yescharacteristic
955C2×Q8—44no—
956C2×Q8—44no—
957C2×Q8—44no—
958C2×Q8—88no—
959C2×D4—28no—
960C2×D4—28no—
961C2×D4—28no—
962C2×D4—28no—
963C2×D4—44no—
964C2×D4—44no—
965C2×D4—44no—
966C2×D4—44no—
967C2×D4—44no—
968C2×D4—416no—
969C2×D4—416no—
970C2×D4—44no—
971C2×D4—44no—
972C2×D4—44no—
973C2×D4—44no—
974C2×D4—44no—
975C2×D4—44no—
976C2×D4—44no—
977C2×D4—44no—
978C2×D4—44no—
979C2×D4—44no—
980C2×D4—44no—
981C2×D4—44no—
982C2×D4—416no—
983C2×D4—88no—
984C2×D4—88no—
985C2×D4—88no—
986C2×D4—88no—
987C22×C4—22no—
988C22×C4—22no—
989C22×C4—22no—
990C22×C4—22no—
991C22×C4—22no—
992C22×C4—22no—
993C22×C4—22no—
994C22×C4—22no—
995C22×C4—22no—
996C22×C4—22no—
997C22×C4—22no—
998C22×C4—22no—
999C22×C4—22no—
1000C22×C4—22no—
1001C22×C4—22no—
1002C22×C4—22no—
1003C22×C4—22no—
1004C22×C4—22no—
1005C22×C4—22no—
1006C22×C4—22no—
1007C22×C4—22no—
1008C22×C4—22no—
1009C22×C4—22no—
1010C22×C4—22no—
1011C22×C4—22no—
1012C22×C4—22no—
1013C22×C4—22no—
1014C22×C4—22no—
1015C22×C4—22no—
1016C22×C4—22no—
1017C22×C4—22no—
1018C22×C4—22no—
1019C22×C4—22no—
1020C22×C4—22no—
1021C22×C4—22no—
1022C22×C4—22no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—22no—
1029C22×C4—22no—
1030C22×C4—22no—
1031C22×C4—22no—
1032C22×C4—22no—
1033C22×C4—22no—
1034C22×C4—22no—
1035C22×C4—22no—
1036C22×C4—22no—
1037C22×C4—22no—
1038C22×C4—22no—
1039C22×C4—22no—
1040C22×C4—22no—
1041C22×C4—22no—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—28no—
1063C22×C4—28no—
1064C22×C4—28no—
1065C22×C4—28no—
1066C22×C4—44no—
1067C22×C4—44no—
1068C22×C4—44no—
1069C22×C4—44no—
1070C22×C4—44no—
1071C22×C4—44no—
1072C22×C4—44no—
1073C22×C4—44no—
1074C22×C4—416no—
1075C22×C4—88no—
1076C22×C4—88no—
1077C22×C4—88no—
1078C22×C4H(5,𝔽2)14yes—
1079C22×C4H(5,𝔽2)14yes—
1080C22×C4H(5,𝔽2)14yes—
1081C22×C4C2512yes—
1082C22×C4C2512yes—
1083C22×C4C2512yes—
1084C22×C4C2512yes—
1085C22×C4C2512yes—
1086C22×C4C2512yes—
1087C22×C4C2512yes—
1088C22×C4C2512yes—
1089C22×C4C2512yes—
1090C22×C4C2512yes—
1091C22×C4C2512yes—
1092C22×C4C2512yes—
1093C22×C4C2512yes—
1094C22×C4C2512yes—
1095C22×C4C2512yes—
1096C22×C4C2512yes—
1097C22×C4C2512yes—
1098C22×C4C2512yes—
1099C22×C4C2512yes—
1100C22×C4C2512yes—
1101C22×C4C2512yes—
1102C22×C4C2512yes—
1103C22×C4C2512yes—
1104C22×C4C2512yes—
1105C22×C4C2512yes—
1106C22×C4C2512yes—
1107C4⋊C4—28no—
1108C4⋊C4—28no—
1109C4⋊C4—28no—
1110C4⋊C4—28no—
1111C4⋊C4—28no—
1112C4⋊C4—28no—
1113C4⋊C4—28no—
1114C4⋊C4—28no—
1115C4⋊C4—44no—
1116C4⋊C4—44no—
1117C4⋊C4—44no—
1118C4⋊C4—44no—
1119C4⋊C4—44no—
1120C4⋊C4—44no—
1121C4⋊C4—44no—
1122C4⋊C4—44no—
1123C4⋊C4—44no—
1124C4⋊C4—44no—
1125C4⋊C4—44no—
1126C4⋊C4—44no—
1127C4⋊C4—44no—
1128C4⋊C4—44no—
1129C4⋊C4—44no—
1130C4⋊C4—44no—
1131C4⋊C4—44no—
1132C4⋊C4—44no—
1133C4⋊C4—44no—
1134C4⋊C4—44no—
1135C4⋊C4—44no—
1136C4⋊C4—44no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—44no—
1140C4⋊C4—44no—
1141C4⋊C4—44no—
1142C4⋊C4—44no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C22⋊C4—28no—
1150C22⋊C4—28no—
1151C22⋊C4—28no—
1152C22⋊C4—28no—
1153C22⋊C4—28no—
1154C22⋊C4—28no—
1155C22⋊C4—28no—
1156C22⋊C4—28no—
1157C22⋊C4—28no—
1158C22⋊C4—44no—
1159C22⋊C4—44no—
1160C22⋊C4—44no—
1161C22⋊C4—44no—
1162C22⋊C4—44no—
1163C22⋊C4—44no—
1164C22⋊C4—44no—
1165C22⋊C4—44no—
1166C22⋊C4—44no—
1167C22⋊C4—44no—
1168C22⋊C4—44no—
1169C22⋊C4—44no—
1170C22⋊C4—44no—
1171C22⋊C4—44no—
1172C22⋊C4—44no—
1173C22⋊C4—44no—
1174C22⋊C4—44no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C42—28no—
1204C42—28no—
1205C42—28no—
1206C42—28no—
1207C42—28no—
1208C42—28no—
1209C42—44no—
1210C42—44no—
1211C42—44no—
1212C42—44no—
1213C23—22no—
1214C23—22no—
1215C23—22no—
1216C23—22no—
1217C23—22no—
1218C23—22no—
1219C23—28no—
1220C23—28no—
1221C23—28no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—22no—
1247C23—22no—
1248C23—22no—
1249C23—22no—
1250C23—44no—
1251C23—44no—
1252C23—44no—
1253C23—44no—
1254C23—416no—
1255C23—44no—
1256C23—44no—
1257C23—44no—
1258C23—44no—
1259C23—44no—
1260C23—44no—
1261C23—44no—
1262C23—44no—
1263C23—44no—
1264C23—44no—
1265C23—44no—
1266C23—44no—
1267C23—44no—
1268C23—44no—
1269C23—44no—
1270C23—44no—
1271C23—44no—
1272C23—44no—
1273C23—44no—
1274C23—44no—
1275C23—44no—
1276C23—44no—
1277C23—44no—
1278C23—44no—
1279C23—44no—
1280C23—44no—
1281C23—44no—
1282C23—44no—
1283C23—88no—
1284C23—88no—
1285C23—88no—
1286C23—88no—
1287C23—88no—
1288C23—88no—
1289C23—864no—
1290C23C2×H(5,𝔽2)12yes—
1291C23C2×H(5,𝔽2)12yes—
1292C23C2×H(5,𝔽2)12yes—
1293C23C2×2−1+414yes—
1294C23C2×2−1+412yes—
1295C23#58512yes—
1296C23#58512yes—
1297C23#58512yes—
1298C23C2611yescharacteristic
1299Q8—88no—
1300D4—416no—
1301D4—416no—
1302D4—416no—
1303D4—88no—
1304D4—88no—
1305D4—88no—
1306D4—88no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—28no—
1314C2×C4—28no—
1315C2×C4—28no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—416no—
1386C2×C4—44no—
1387C2×C4—44no—
1388C2×C4—44no—
1389C2×C4—44no—
1390C2×C4—44no—
1391C2×C4—44no—
1392C2×C4—44no—
1393C2×C4—44no—
1394C2×C4—44no—
1395C2×C4—44no—
1396C2×C4—44no—
1397C2×C4—44no—
1398C2×C4—44no—
1399C2×C4—44no—
1400C2×C4—44no—
1401C2×C4—44no—
1402C2×C4—44no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—88no—
1410C2×C4—88no—
1411C2×C4—88no—
1412C2×C4C2×H(5,𝔽2)14yes—
1413C2×C4C2×H(5,𝔽2)14yes—
1414C2×C4C2×H(5,𝔽2)14yes—
1415C22—24no—
1416C22—24no—
1417C22—24no—
1418C22—42no—
1419C22—42no—
1420C22—416no—
1421C22—42no—
1422C22—42no—
1423C22—42no—
1424C22—42no—
1425C22—42no—
1426C22—42no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—42no—
1431C22—42no—
1432C22—42no—
1433C22—42no—
1434C22—42no—
1435C22—42no—
1436C22—42no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—832no—
1452C22—88no—
1453C22—88no—
1454C22—88no—
1455C22—88no—
1456C22#352914yes—
1457C22#353514yes—
1458C22#353614yes—
1459C22#354214yes—
1460C22#354614yes—
1461C22#355114yes—
1462C22#356414yes—
1463C22C22×H(5,𝔽2)11yescharacteristic
1464C22C22×H(5,𝔽2)11yescharacteristic
1465C22C22×H(5,𝔽2)11yescharacteristic
1466C22C22×2−1+411yescharacteristic
1467C22C2×#58511yescharacteristic
1468C22C2×#58511yescharacteristic
1469C22C2×#58511yescharacteristic
1470C4—24no—
1471C4—24no—
1472C4—24no—
1473C4—42no—
1474C4—42no—
1475C4—42no—
1476C4—42no—
1477C4—42no—
1478C4—42no—
1479C4—42no—
1480C4—42no—
1481C4—42no—
1482C4—42no—
1483C4—42no—
1484C4—42no—
1485C4—42no—
1486C4—42no—
1487C4—42no—
1488C4—42no—
1489C4—42no—
1490C4—42no—
1491C4—42no—
1492C4—42no—
1493C4—42no—
1494C4—42no—
1495C4—42no—
1496C2—44no—
1497C2—82no—
1498C2—82no—
1499C2—82no—
1500C2—82no—
1501C2#5236118yesdirect product factor
1502C2C2×#352911yescharacteristic
1503C2C2×#354211yescharacteristic
1504C2C2×#353511yescharacteristic
1505C2C2×#353611yescharacteristic
1506C2C2×#356411yescharacteristic
1507C2C2×#355111yescharacteristic
1508C2C2×#354611yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2670C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #52361C2direct (N × H)
2. C2×#2783C2semidirect
3. C2×#2761C2semidirect
4. C2×#2721C2semidirect
5. C2×#2707C2semidirect
6. C2×#2705C2semidirect
7. C2×#2685C2semidirect
8. C2×#2685C2semidirect
10. C2×#2823C2semidirect
11. C2×#2820C2semidirect
12. C2×#2820C2semidirect
13. C2×#2841C2semidirect
14. C2×#2842C2semidirect
15. C2×#2829C2semidirect
16. C2×#2829C2semidirect
17. C2×#2837C2semidirect
18. C2×#2566C2semidirect
19. C2×#2574C2semidirect
20. C2×#2558C2semidirect
21. C2×#2534C2semidirect
22. C2×#2519C2semidirect
23. C2×#2519C2semidirect
24. C2×#2521C2semidirect
25. C2×#2479C2semidirect
26. C2×#2474C2semidirect
27. C2×#2454C2semidirect
28. C2×#2480C2semidirect
29. C2×#2418C2semidirect
30. C2×#2636C2semidirect
31. C2×#2630C2semidirect
32. C2×#2392C2semidirect
36. C22×#126C22semidirect
37. C22×#125C22semidirect
38. C22×#125C22semidirect
39. C22×#125C22semidirect
48. C22×C4×D4C22semidirect
49. C22×#117C22semidirect
51. #2842C22semidirect
52. #2841C22semidirect
53. #2837C22semidirect
54. #2829C22semidirect
55. #2829C22semidirect
56. #2823C22semidirect
57. #2820C22semidirect
58. #2820C22semidirect
59. #2783C22semidirect
60. #2761C22semidirect
61. #2721C22semidirect
62. #2707C22semidirect
63. #2705C22semidirect
64. #2685C22semidirect
65. #2685C22semidirect
67. #2636C22semidirect
68. #2630C22semidirect
69. #2574C22semidirect
70. #2566C22semidirect
71. #2558C22semidirect
72. #2534C22semidirect
73. #2521C22semidirect
74. #2519C22semidirect
75. #2519C22semidirect
76. #2480C22semidirect
77. #2479C22semidirect
78. #2474C22semidirect
79. #2454C22semidirect
80. #2418C22semidirect
81. C2×#400C22semidirect
82. C2×#400C22semidirect
90. C2×#399C22semidirect
91. C2×#399C22semidirect
92. #2392C22semidirect
93. C2×#398C22semidirect
94. C2×#398C22semidirect
95. C2×#398C22semidirect
96. C2×#398C22semidirect
97. C2×#398C22semidirect
98. C2×#398C22semidirect
99. C2×#398C22semidirect
100. C2×#398C22semidirect
105. C2×#397C22semidirect
106. C2×#397C22semidirect
107. C2×#397C22semidirect
108. C2×#397C22semidirect
122. C2×#396C22semidirect
123. C2×#396C22semidirect
124. C2×#396C22semidirect
125. C2×#396C22semidirect
126. C2×#396C22semidirect
127. C2×#396C22semidirect
128. C2×#396C22semidirect
129. C2×#396C22semidirect
130. C2×#395C22semidirect
131. C2×#395C22semidirect
132. C2×#395C22semidirect
147. C2×#394C22semidirect
148. C2×#394C22semidirect
149. C2×#394C22semidirect
154. C2×#391C22semidirect
161. C2×#389C22semidirect
162. C2×#389C22semidirect
163. C2×#389C22semidirect
164. C2×#389C22semidirect
180. C2×#388C22semidirect
181. C2×#388C22semidirect
182. C2×#388C22semidirect
183. C2×#387C22semidirect
184. C2×#387C22semidirect
185. C2×#387C22semidirect
186. C2×#387C22semidirect
187. C2×#387C22semidirect
188. C2×#387C22semidirect
189. C2×#387C22semidirect
197. C2×#385C22semidirect
198. C2×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#384C22semidirect
201. C2×#382C22semidirect
202. C2×#382C22semidirect
203. C2×#382C22semidirect
208. C2×#380C22semidirect
213. C2×C4×C4⋊C4C22semidirect
214. C2×C4×C4⋊C4C22semidirect
215. C2×C4×C4⋊C4C22semidirect
216. C2×C4×C4⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
239. C2×#126C23semidirect
243. C2×#125C23semidirect
244. C2×#125C23semidirect
245. C2×#125C23semidirect
263. C2×C4×D4C23semidirect
265. C2×#117C23semidirect
374. #400C23semidirect
375. #400C23semidirect
383. #399C23semidirect
384. #399C23semidirect
385. #398C23semidirect
386. #398C23semidirect
387. #398C23semidirect
388. #398C23semidirect
389. #398C23semidirect
390. #398C23semidirect
391. #398C23semidirect
392. #398C23semidirect
397. #397C23semidirect
398. #397C23semidirect
399. #397C23semidirect
400. #397C23semidirect
414. #396C23semidirect
415. #396C23semidirect
416. #396C23semidirect
417. #396C23semidirect
418. #396C23semidirect
419. #396C23semidirect
420. #396C23semidirect
421. #396C23semidirect
422. #395C23semidirect
423. #395C23semidirect
424. #395C23semidirect
439. #394C23semidirect
440. #394C23semidirect
441. #394C23semidirect
446. #391C23semidirect
453. #389C23semidirect
454. #389C23semidirect
455. #389C23semidirect
456. #389C23semidirect
472. #388C23semidirect
473. #388C23semidirect
474. #388C23semidirect
475. #387C23semidirect
476. #387C23semidirect
477. #387C23semidirect
478. #387C23semidirect
479. #387C23semidirect
480. #387C23semidirect
481. #387C23semidirect
489. #385C23semidirect
490. #385C23semidirect
491. #385C23semidirect
492. #384C23semidirect
493. #382C23semidirect
494. #382C23semidirect
495. #382C23semidirect
500. #380C23semidirect
505. C4×C4⋊C4C23semidirect
506. C4×C4⋊C4C23semidirect
507. C4×C4⋊C4C23semidirect
508. C4×C4⋊C4C23semidirect
510. C4×C22⋊C4C23semidirect
1501. C2#52361direct (N × H)

Maximal subgroups

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

subgroupindex
#523612
C2×#27832
C2×#27612
C2×#27212
C2×#27072
C2×#27052
C2×#26852
C2×#26702
C2×#28232
C2×#28202
C2×#28412
C2×#28422
C2×#28292
C2×#28372
C2×#25662
C2×#25742
C2×#25582
C2×#25342
C2×#25192
C2×#25212
C2×#24792
C2×#24742
C2×#24542
C2×#24802
C2×#24182
C2×#26362
C2×#26302
C2×#23922