Finite Group Databasebeta

← C2×#52471 #8092095

Subgroups — C2×#52471 #8092095

Order 512.

7466 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52471C2132yesmaximal, direct product factor
2C2×#2796C211yesmaximal, characteristic, complemented
3C2×#2752C211yesmaximal, characteristic, complemented
4C2×#2746C211yesmaximal, characteristic, complemented
5C2×#2735C211yesmaximal, characteristic, complemented
6C2×#2703C211yesmaximal, characteristic, complemented
7C2×#2688C211yesmaximal, characteristic, complemented
8C2×#2678C211yesmaximal, characteristic, complemented
9C2×#2668C211yesmaximal, characteristic, complemented
10C2×#2828C211yesmaximal, characteristic, complemented
11C2×#2829C211yesmaximal, characteristic, complemented
12C2×#2825C211yesmaximal, characteristic, complemented
13C2×#2837C211yesmaximal, characteristic, complemented
14C2×#2826C211yesmaximal, characteristic, complemented
15C2×#2827C211yesmaximal, characteristic, complemented
16C2×#2815C211yesmaximal, characteristic, complemented
17C2×#2812C211yesmaximal, characteristic, complemented
18C2×#2543C211yesmaximal, characteristic, complemented
19C2×#2543C211yesmaximal, characteristic, complemented
20C2×#2416C211yesmaximal, characteristic, complemented
21C2×#2444C211yesmaximal, characteristic, complemented
22C2×#2444C211yesmaximal, characteristic, complemented
23C2×#2424C211yesmaximal, characteristic, complemented
24C2×#2424C211yesmaximal, characteristic, complemented
25C2×#2424C211yesmaximal, characteristic, complemented
26C2×#2443C211yesmaximal, characteristic, complemented
27C2×#2410C211yesmaximal, characteristic, complemented
28C2×#2410C211yesmaximal, characteristic, complemented
29C2×#2410C211yesmaximal, characteristic, complemented
30C2×#2656C211yesmaximal, characteristic, complemented
31C2×#2643C211yesmaximal, characteristic, complemented
32C22×#397C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C22×#123C2211yescharacteristic, complemented
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C22×#121C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic, complemented
44C22×#121C2211yescharacteristic, complemented
45C22×#121C2211yescharacteristic, complemented
46C22×#121C2211yescharacteristic, complemented
47C22×#121C2211yescharacteristic, complemented
48C22×#120C2211yescharacteristic
49C22×#120C2211yescharacteristic
50C22×#120C2211yescharacteristic
51C22×#120C2211yescharacteristic
52C22×#120C2211yescharacteristic
53C22×#120C2211yescharacteristic
54C22×C4×D4C2211yescharacteristic, complemented
55C22×C4×D4C2211yescharacteristic, complemented
56C22×C4×D4C2211yescharacteristic, complemented
57C23×C4⋊C4C2211yescharacteristic, complemented
58C23×C22⋊C4C2211yescharacteristic
59C23×C22⋊C4C2211yescharacteristic
60C23×C22⋊C4C2211yescharacteristic
61#2837C22116yescomplemented
62#2829C22116yescomplemented
63#2828C22116yescomplemented
64#2827C22116yescomplemented
65#2826C22116yescomplemented
66#2825C22116yescomplemented
67#2815C22116yescomplemented
68#2812C22116yescomplemented
69#2796C22116yescomplemented
70#2752C22116yescomplemented
71#2746C22116yescomplemented
72#2735C22116yescomplemented
73#2703C22116yescomplemented
74#2688C22116yescomplemented
75#2678C22116yescomplemented
76#2668C22116yescomplemented
77#2656C22116yescomplemented
78#2643C22116yescomplemented
79#2543C22116yescomplemented
80#2543C22116yescomplemented
81#2444C22116yescomplemented
82#2444C22116yescomplemented
83#2443C22116yescomplemented
84#2424C22116yescomplemented
85#2424C22116yescomplemented
86#2424C22116yescomplemented
87#2416C22116yescomplemented
88#2410C22116yescomplemented
89#2410C22116yescomplemented
90#2410C22116yescomplemented
91C2×#401C2211yescharacteristic, complemented
92C2×#400C2211yescharacteristic, complemented
93C2×#400C2211yescharacteristic, complemented
94C2×#400C2211yescharacteristic, complemented
95C2×#400C2211yescharacteristic, complemented
96C2×#400C2211yescharacteristic, complemented
97C2×#399C2211yescharacteristic, complemented
98C2×#399C2211yescharacteristic, complemented
99C2×#399C2211yescharacteristic, complemented
100C2×#399C2211yescharacteristic, complemented
101C2×#399C2211yescharacteristic, complemented
102C2×#398C2211yescharacteristic, complemented
103C2×#398C2211yescharacteristic, complemented
104C2×#398C2211yescharacteristic, complemented
105C2×#397C2211yescharacteristic
106C2×#397C2211yescharacteristic
107C2×#397C2211yescharacteristic
108C2×#397C2211yescharacteristic
109C2×#397C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic, complemented
111C2×#397C2211yescharacteristic, complemented
112C2×#397C2211yescharacteristic, complemented
113C2×#397C2211yescharacteristic, complemented
114C2×#397C2211yescharacteristic, complemented
115C2×#397C2211yescharacteristic, complemented
116C2×#397C2211yescharacteristic, complemented
117C2×#397C2211yescharacteristic, complemented
118C2×#397C2211yescharacteristic, complemented
119C2×#397C2211yescharacteristic, complemented
120C2×#397C2211yescharacteristic, complemented
121C2×#397C2211yescharacteristic, complemented
122C2×#397C2211yescharacteristic, complemented
123C2×#397C22116yescomplemented
124C2×#396C2211yescharacteristic
125C2×#396C2211yescharacteristic, complemented
126C2×#396C2211yescharacteristic, complemented
127C2×#396C2211yescharacteristic, complemented
128C2×#396C2211yescharacteristic, complemented
129C2×#396C2211yescharacteristic, complemented
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic
132C2×#394C2211yescharacteristic
133C2×#394C2211yescharacteristic
134C2×#394C2211yescharacteristic
135C2×#394C2211yescharacteristic
136C2×#394C2211yescharacteristic
137C2×#394C2211yescharacteristic
138C2×#394C2211yescharacteristic
139C2×#394C2211yescharacteristic
140C2×#394C2211yescharacteristic, complemented
141C2×#394C2211yescharacteristic, complemented
142C2×#394C2211yescharacteristic, complemented
143C2×#394C2211yescharacteristic, complemented
144C2×#394C2211yescharacteristic, complemented
145C2×#394C2211yescharacteristic, complemented
146C2×#394C2211yescharacteristic, complemented
147C2×#394C2211yescharacteristic, complemented
148C2×#394C2211yescharacteristic, complemented
149C2×#392C2211yescharacteristic
150C2×#392C2211yescharacteristic
151C2×#392C2211yescharacteristic
152C2×#392C2211yescharacteristic
153C2×#392C2211yescharacteristic
154C2×#392C2211yescharacteristic
155C2×#392C2211yescharacteristic
156C2×#392C2211yescharacteristic, complemented
157C2×#392C2211yescharacteristic, complemented
158C2×#392C2211yescharacteristic, complemented
159C2×#392C2211yescharacteristic, complemented
160C2×#392C2211yescharacteristic, complemented
161C2×#392C2211yescharacteristic, complemented
162C2×#392C2211yescharacteristic, complemented
163C2×#392C2211yescharacteristic, complemented
164C2×#390C2211yescharacteristic
165C2×#390C2211yescharacteristic, complemented
166C2×#390C2211yescharacteristic, complemented
167C2×#390C2211yescharacteristic, complemented
168C2×#389C2211yescharacteristic, complemented
169C2×#388C2211yescharacteristic
170C2×#388C2211yescharacteristic
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×#387C2211yescharacteristic, complemented
180C2×#387C2211yescharacteristic, complemented
181C2×#387C2211yescharacteristic, complemented
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic, complemented
193C2×#386C2211yescharacteristic, complemented
194C2×#386C2211yescharacteristic, complemented
195C2×#386C2211yescharacteristic, complemented
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#386C2211yescharacteristic, complemented
199C2×#386C2211yescharacteristic, complemented
200C2×#386C2211yescharacteristic, complemented
201C2×#386C2211yescharacteristic, complemented
202C2×#386C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic
204C2×#385C2211yescharacteristic
205C2×#385C2211yescharacteristic
206C2×#385C2211yescharacteristic, complemented
207C2×#385C2211yescharacteristic, complemented
208C2×#385C2211yescharacteristic, complemented
209C2×#385C2211yescharacteristic, complemented
210C2×#381C2211yescharacteristic, complemented
211C2×#381C2211yescharacteristic, complemented
212C2×#380C2211yescharacteristic, complemented
213C2×#379C2211yescharacteristic
214C2×#379C2211yescharacteristic
215C2×#379C2211yescharacteristic
216C22×#95C2211yescharacteristic, complemented
217C22×#95C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×D4—44no—
222C23×D4—44no—
223C23×D4—44no—
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2318yes—
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C2×#123—44no—
258C2×#123C2318yescomplemented
259C2×#121—44no—
260C2×#121—44no—
261C2×#121—44no—
262C2×#121—44no—
263C2×#121—44no—
264C2×#121—44no—
265C2×#121—44no—
266C2×#121—44no—
267C2×#121—44no—
268C2×#121—44no—
269C2×#121—44no—
270C2×#121—44no—
271C2×#121—44no—
272C2×#121C2318yes—
273C2×#121C2318yes—
274C2×#121C2318yes—
275C2×#121C2318yes—
276C2×#121C2318yes—
277C2×#121C2318yes—
278C2×#121C2318yes—
279C2×#121C2318yes—
280C2×#121C2318yescomplemented
281C2×#121C2318yescomplemented
282C2×#121C2318yescomplemented
283C2×#121C2318yescomplemented
284C2×#121C2318yescomplemented
285C2×#120—44no—
286C2×#120—44no—
287C2×#120—44no—
288C2×#120—44no—
289C2×#120—44no—
290C2×#120—44no—
291C2×#120C2318yes—
292C2×#120C2318yes—
293C2×#120C2318yes—
294C2×#120C2318yes—
295C2×#120C2318yes—
296C2×#120C2318yes—
297C2×C4×D4—44no—
298C2×C4×D4—44no—
299C2×C4×D4—44no—
300C2×C4×D4C2318yescomplemented
301C2×C4×D4C2318yescomplemented
302C2×C4×D4C2318yescomplemented
303C22×C4⋊C4—44no—
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×C4⋊C4C2311yescharacteristic
326C22×C4⋊C4C2318yescomplemented
327C22×C22⋊C4—44no—
328C22×C22⋊C4—44no—
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⋊C4C2318yes—
391C22×C22⋊C4C2318yes—
392C22×C22⋊C4C2318yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396#401C2318yescomplemented
397#400C2318yescomplemented
398#400C2318yescomplemented
399#400C2318yescomplemented
400#400C2318yescomplemented
401#400C2318yescomplemented
402#399C2318yescomplemented
403#399C2318yescomplemented
404#399C2318yescomplemented
405#399C2318yescomplemented
406#399C2318yescomplemented
407#398C2318yescomplemented
408#398C2318yescomplemented
409#398C2318yescomplemented
410#397C2318yes—
411#397C2318yes—
412#397C2318yes—
413#397C2318yes—
414#397C2318yescomplemented
415#397C2318yescomplemented
416#397C2318yescomplemented
417#397C2318yescomplemented
418#397C2318yescomplemented
419#397C2318yescomplemented
420#397C2318yescomplemented
421#397C2318yescomplemented
422#397C2318yescomplemented
423#397C2318yescomplemented
424#397C2318yescomplemented
425#397C2318yescomplemented
426#397C2318yescomplemented
427#397C2318yescomplemented
428#396C2318yes—
429#396C2318yescomplemented
430#396C2318yescomplemented
431#396C2318yescomplemented
432#396C2318yescomplemented
433#396C2318yescomplemented
434#394C2318yes—
435#394C2318yes—
436#394C2318yes—
437#394C2318yes—
438#394C2318yes—
439#394C2318yes—
440#394C2318yes—
441#394C2318yes—
442#394C2318yes—
443#394C2318yes—
444#394C2318yescomplemented
445#394C2318yescomplemented
446#394C2318yescomplemented
447#394C2318yescomplemented
448#394C2318yescomplemented
449#394C2318yescomplemented
450#394C2318yescomplemented
451#394C2318yescomplemented
452#394C2318yescomplemented
453#392C2318yes—
454#392C2318yes—
455#392C2318yes—
456#392C2318yes—
457#392C2318yes—
458#392C2318yes—
459#392C2318yes—
460#392C2318yescomplemented
461#392C2318yescomplemented
462#392C2318yescomplemented
463#392C2318yescomplemented
464#392C2318yescomplemented
465#392C2318yescomplemented
466#392C2318yescomplemented
467#392C2318yescomplemented
468#390C2318yes—
469#390C2318yescomplemented
470#390C2318yescomplemented
471#390C2318yescomplemented
472#389C2318yescomplemented
473#388C2318yes—
474#388C2318yes—
475#388C2318yescomplemented
476#388C2318yescomplemented
477#388C2318yescomplemented
478#388C2318yescomplemented
479#388C2318yescomplemented
480#388C2318yescomplemented
481#388C2318yescomplemented
482#388C2318yescomplemented
483#387C2318yescomplemented
484#387C2318yescomplemented
485#387C2318yescomplemented
486#386C2318yes—
487#386C2318yes—
488#386C2318yes—
489#386C2318yes—
490#386C2318yes—
491#386C2318yes—
492#386C2318yes—
493#386C2318yes—
494#386C2318yes—
495#386C2318yes—
496#386C2318yescomplemented
497#386C2318yescomplemented
498#386C2318yescomplemented
499#386C2318yescomplemented
500#386C2318yescomplemented
501#386C2318yescomplemented
502#386C2318yescomplemented
503#386C2318yescomplemented
504#386C2318yescomplemented
505#386C2318yescomplemented
506#386C2318yescomplemented
507#385C2318yes—
508#385C2318yes—
509#385C2318yes—
510#385C2318yescomplemented
511#385C2318yescomplemented
512#385C2318yescomplemented
513#385C2318yescomplemented
514#381C2318yescomplemented
515#381C2318yescomplemented
516#380C2318yescomplemented
517#379C2318yes—
518#379C2318yes—
519#379C2318yes—
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
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2318yescomplemented
557C2×#95C2318yescomplemented
558C2×#95C2318yescomplemented
559C25—24no—
560C25—24no—
561C25—24no—
562C25—24no—
563C25—24no—
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
580C25C2414yes—
581C25C2411yescharacteristic
582C25C2414yes—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—24no—
587C22×D4—24no—
588C22×D4—24no—
589C22×D4—24no—
590C22×D4—24no—
591C22×D4—24no—
592C22×D4—24no—
593C22×D4—24no—
594C22×D4—24no—
595C22×D4—24no—
596C22×D4—24no—
597C22×D4—24no—
598C22×D4—24no—
599C22×D4—24no—
600C22×D4—24no—
601C22×D4—24no—
602C22×D4—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—416no—
650C22×D4—416no—
651C22×D4—416no—
652C22×D4—464no—
653C22×D4C2414yes—
654C22×D4C2414yes—
655C22×D4C2414yes—
656C22×D4C2414yes—
657C22×D4C2414yes—
658C22×D4C2414yes—
659C22×D4C2414yes—
660C22×D4C2414yes—
661C22×D4C2414yes—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2414yes—
668C22×D4C2414yes—
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C23×C4—24no—
676C23×C4—24no—
677C23×C4—24no—
678C23×C4—24no—
679C23×C4—24no—
680C23×C4—24no—
681C23×C4—24no—
682C23×C4—24no—
683C23×C4—42no—
684C23×C4—42no—
685C23×C4—42no—
686C23×C4—42no—
687C23×C4—42no—
688C23×C4—42no—
689C23×C4—42no—
690C23×C4—42no—
691C23×C4—42no—
692C23×C4—42no—
693C23×C4—42no—
694C23×C4—42no—
695C23×C4—42no—
696C23×C4—42no—
697C23×C4—42no—
698C23×C4—42no—
699C23×C4—42no—
700C23×C4—42no—
701C23×C4—42no—
702C23×C4—42no—
703C23×C4—42no—
704C23×C4—42no—
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2414yes—
728C23×C4C2411yescharacteristic
729C23×C4C2414yes—
730C23×C4C2414yes—
731C23×C4C2414yes—
732C23×C4C2414yes—
733C23×C4C2414yes—
734C23×C4C2414yes—
735C23×C4C2414yes—
736C23×C4C2414yes—
737C23×C4C2414yes—
738#123—416no—
739#121—416no—
740#121—416no—
741#121—416no—
742#121—416no—
743#121—416no—
744#121—416no—
745#121—416no—
746#121—416no—
747#121—416no—
748#121—416no—
749#121—416no—
750#121—416no—
751#121—416no—
752#120—416no—
753#120—416no—
754#120—416no—
755#120—416no—
756#120—416no—
757#120—416no—
758C4×D4—416no—
759C4×D4—416no—
760C4×D4—416no—
761C2×C4⋊C4—24no—
762C2×C4⋊C4—24no—
763C2×C4⋊C4—416no—
764C2×C4⋊C4—42no—
765C2×C4⋊C4—42no—
766C2×C4⋊C4—42no—
767C2×C4⋊C4—42no—
768C2×C4⋊C4—42no—
769C2×C4⋊C4—42no—
770C2×C4⋊C4—42no—
771C2×C4⋊C4—42no—
772C2×C4⋊C4—42no—
773C2×C4⋊C4—42no—
774C2×C4⋊C4—42no—
775C2×C4⋊C4—42no—
776C2×C4⋊C4—42no—
777C2×C4⋊C4—42no—
778C2×C4⋊C4—42no—
779C2×C4⋊C4—42no—
780C2×C4⋊C4—42no—
781C2×C4⋊C4—42no—
782C2×C4⋊C4—42no—
783C2×C4⋊C4—42no—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2414yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
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—24no—
814C2×C22⋊C4—24no—
815C2×C22⋊C4—24no—
816C2×C22⋊C4—24no—
817C2×C22⋊C4—416no—
818C2×C22⋊C4—416no—
819C2×C22⋊C4—416no—
820C2×C22⋊C4—42no—
821C2×C22⋊C4—42no—
822C2×C22⋊C4—42no—
823C2×C22⋊C4—42no—
824C2×C22⋊C4—42no—
825C2×C22⋊C4—42no—
826C2×C22⋊C4—42no—
827C2×C22⋊C4—42no—
828C2×C22⋊C4—42no—
829C2×C22⋊C4—42no—
830C2×C22⋊C4—42no—
831C2×C22⋊C4—42no—
832C2×C22⋊C4—42no—
833C2×C22⋊C4—42no—
834C2×C22⋊C4—42no—
835C2×C22⋊C4—42no—
836C2×C22⋊C4—42no—
837C2×C22⋊C4—42no—
838C2×C22⋊C4—42no—
839C2×C22⋊C4—42no—
840C2×C22⋊C4—42no—
841C2×C22⋊C4—42no—
842C2×C22⋊C4—42no—
843C2×C22⋊C4—42no—
844C2×C22⋊C4—42no—
845C2×C22⋊C4—42no—
846C2×C22⋊C4—42no—
847C2×C22⋊C4—42no—
848C2×C22⋊C4—42no—
849C2×C22⋊C4—42no—
850C2×C22⋊C4—42no—
851C2×C22⋊C4—42no—
852C2×C22⋊C4—42no—
853C2×C22⋊C4—42no—
854C2×C22⋊C4—42no—
855C2×C22⋊C4—42no—
856C2×C22⋊C4—42no—
857C2×C22⋊C4—42no—
858C2×C22⋊C4—42no—
859C2×C22⋊C4—42no—
860C2×C22⋊C4—42no—
861C2×C22⋊C4—42no—
862C2×C22⋊C4—42no—
863C2×C22⋊C4—42no—
864C2×C22⋊C4—42no—
865C2×C22⋊C4—42no—
866C2×C22⋊C4—42no—
867C2×C22⋊C4—42no—
868C2×C22⋊C4—42no—
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—42no—
930C2×C42—42no—
931C2×C42—42no—
932C2×C42C2414yes—
933C2×C42C2414yes—
934C2×C42C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
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—28no—
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—416no—
1038C24—416no—
1039C24—416no—
1040C24—416no—
1041C24—416no—
1042C24—88no—
1043C24—88no—
1044C24—88no—
1045C24—88no—
1046C24—88no—
1047C24—88no—
1048C24—88no—
1049C24—88no—
1050C24—88no—
1051C24H(5,𝔽2)14yes—
1052C24H(5,𝔽2)14yes—
1053C24H(5,𝔽2)14yes—
1054C24H(5,𝔽2)14yes—
1055C24C2512yes—
1056C24C2512yes—
1057C24C2512yes—
1058C24C2512yes—
1059C24C2512yes—
1060C24C2512yes—
1061C24C2512yes—
1062C24C2512yes—
1063C24C2511yescharacteristic
1064C2×D4—28no—
1065C2×D4—28no—
1066C2×D4—28no—
1067C2×D4—28no—
1068C2×D4—28no—
1069C2×D4—28no—
1070C2×D4—28no—
1071C2×D4—28no—
1072C2×D4—28no—
1073C2×D4—28no—
1074C2×D4—28no—
1075C2×D4—28no—
1076C2×D4—28no—
1077C2×D4—28no—
1078C2×D4—28no—
1079C2×D4—28no—
1080C2×D4—28no—
1081C2×D4—28no—
1082C2×D4—28no—
1083C2×D4—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—4128no—
1131C2×D4—416no—
1132C2×D4—416no—
1133C2×D4—416no—
1134C2×D4—416no—
1135C2×D4—416no—
1136C2×D4—416no—
1137C2×D4—416no—
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—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—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—28no—
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—28no—
1223C22×C4—28no—
1224C22×C4—28no—
1225C22×C4—28no—
1226C22×C4—28no—
1227C22×C4—28no—
1228C22×C4—28no—
1229C22×C4—44no—
1230C22×C4—44no—
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—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—416no—
1252C22×C4—416no—
1253C22×C4—88no—
1254C22×C4—88no—
1255C22×C4—88no—
1256C22×C4—88no—
1257C22×C4—88no—
1258C22×C4—88no—
1259C22×C4—88no—
1260C22×C4—88no—
1261C22×C4H(5,𝔽2)14yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C42—44no—
1368C42—44no—
1369C42—44no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—28no—
1375C23—28no—
1376C23—28no—
1377C23—28no—
1378C23—28no—
1379C23—28no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—28no—
1387C23—28no—
1388C23—28no—
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—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—416no—
1432C23—416no—
1433C23—416no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—44no—
1438C23—416no—
1439C23—416no—
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—88no—
1483C23—88no—
1484C23—88no—
1485C23—88no—
1486C23—88no—
1487C23—88no—
1488C23—864no—
1489C23—88no—
1490C23—88no—
1491C23—88no—
1492C23—864no—
1493C23#560116yes—
1494C23C2×H(5,𝔽2)14yes—
1495C23C2×H(5,𝔽2)14yes—
1496C23C2×H(5,𝔽2)14yes—
1497C23C2×H(5,𝔽2)14yes—
1498C23C2×H(5,𝔽2)12yes—
1499C23C2×H(5,𝔽2)12yes—
1500C23C2×H(5,𝔽2)12yes—
1501C23C2×H(5,𝔽2)12yes—
1502C23C2×H(5,𝔽2)12yes—
1503C23#58512yes—
1504C23#58512yes—
1505C23C2611yescharacteristic
1506D4—416no—
1507D4—416no—
1508D4—416no—
1509D4—416no—
1510D4—416no—
1511D4—416no—
1512D4—416no—
1513D4—88no—
1514D4—88no—
1515D4—88no—
1516D4—88no—
1517D4—88no—
1518D4—88no—
1519D4—88no—
1520D4—88no—
1521D4—88no—
1522D4—88no—
1523D4—88no—
1524D4—88no—
1525D4—88no—
1526D4—88no—
1527D4—88no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—28no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—416no—
1598C2×C4—416no—
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—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—88no—
1622C2×C4—88no—
1623C2×C4—88no—
1624C2×C4—88no—
1625C2×C4—88no—
1626C2×C4—88no—
1627C2×C4—88no—
1628C2×C4—88no—
1629C2×C4C2×H(5,𝔽2)14yes—
1630C22—24no—
1631C22—24no—
1632C22—24no—
1633C22—24no—
1634C22—24no—
1635C22—24no—
1636C22—232no—
1637C22—24no—
1638C22—24no—
1639C22—24no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—416no—
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—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—832no—
1688C22—832no—
1689C22—88no—
1690C22—88no—
1691C22—88no—
1692C22—88no—
1693C22—88no—
1694C22—88no—
1695C22C2×#56018yes—
1696C22C2×#56014yes—
1697C22#353414yes—
1698C22#353414yes—
1699C22#353414yes—
1700C22#353714yes—
1701C22#355814yes—
1702C22#356014yes—
1703C22C22×H(5,𝔽2)11yescharacteristic
1704C22C22×H(5,𝔽2)11yescharacteristic
1705C22C22×H(5,𝔽2)11yescharacteristic
1706C22C22×H(5,𝔽2)11yescharacteristic
1707C22C22×H(5,𝔽2)11yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22C2×#58511yescharacteristic
1710C4—24no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C2—28no—
1734C2—44no—
1735C2—82no—
1736C2—82no—
1737C2—82no—
1738C2—82no—
1739C2—82no—
1740C2—82no—
1741C2#5247118yesdirect product factor
1742C2C22×#56011yescharacteristic
1743C2C2×#353411yescharacteristic
1744C2C2×#353411yescharacteristic
1745C2C2×#353411yescharacteristic
1746C2C2×#353711yescharacteristic
1747C2C2×#355811yescharacteristic
1748C2C2×#356011yescharacteristic
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. #52471C2direct (N × H)
2. C2×#2796C2semidirect
3. C2×#2752C2semidirect
4. C2×#2746C2semidirect
5. C2×#2735C2semidirect
6. C2×#2703C2semidirect
7. C2×#2688C2semidirect
8. C2×#2678C2semidirect
9. C2×#2668C2semidirect
10. C2×#2828C2semidirect
11. C2×#2829C2semidirect
12. C2×#2825C2semidirect
13. C2×#2837C2semidirect
14. C2×#2826C2semidirect
15. C2×#2827C2semidirect
16. C2×#2815C2semidirect
17. C2×#2812C2semidirect
18. C2×#2543C2semidirect
19. C2×#2543C2semidirect
20. C2×#2416C2semidirect
21. C2×#2444C2semidirect
22. C2×#2444C2semidirect
23. C2×#2424C2semidirect
24. C2×#2424C2semidirect
25. C2×#2424C2semidirect
26. C2×#2443C2semidirect
27. C2×#2410C2semidirect
28. C2×#2410C2semidirect
29. C2×#2410C2semidirect
30. C2×#2656C2semidirect
31. C2×#2643C2semidirect
32. C22×#397C2semidirect
34. C22×#123C22semidirect
43. C22×#121C22semidirect
44. C22×#121C22semidirect
45. C22×#121C22semidirect
46. C22×#121C22semidirect
47. C22×#121C22semidirect
54. C22×C4×D4C22semidirect
55. C22×C4×D4C22semidirect
56. C22×C4×D4C22semidirect
57. C23×C4⋊C4C22semidirect
61. #2837C22semidirect
62. #2829C22semidirect
63. #2828C22semidirect
64. #2827C22semidirect
65. #2826C22semidirect
66. #2825C22semidirect
67. #2815C22semidirect
68. #2812C22semidirect
69. #2796C22semidirect
70. #2752C22semidirect
71. #2746C22semidirect
72. #2735C22semidirect
73. #2703C22semidirect
74. #2688C22semidirect
75. #2678C22semidirect
76. #2668C22semidirect
77. #2656C22semidirect
78. #2643C22semidirect
79. #2543C22semidirect
80. #2543C22semidirect
81. #2444C22semidirect
82. #2444C22semidirect
83. #2443C22semidirect
84. #2424C22semidirect
85. #2424C22semidirect
86. #2424C22semidirect
87. #2416C22semidirect
88. #2410C22semidirect
89. #2410C22semidirect
90. #2410C22semidirect
91. C2×#401C22semidirect
92. C2×#400C22semidirect
93. C2×#400C22semidirect
94. C2×#400C22semidirect
95. C2×#400C22semidirect
96. C2×#400C22semidirect
97. C2×#399C22semidirect
98. C2×#399C22semidirect
99. C2×#399C22semidirect
100. C2×#399C22semidirect
101. C2×#399C22semidirect
102. C2×#398C22semidirect
103. C2×#398C22semidirect
104. C2×#398C22semidirect
109. C2×#397C22semidirect
110. C2×#397C22semidirect
111. C2×#397C22semidirect
112. C2×#397C22semidirect
113. C2×#397C22semidirect
114. C2×#397C22semidirect
115. C2×#397C22semidirect
116. C2×#397C22semidirect
117. C2×#397C22semidirect
118. C2×#397C22semidirect
119. C2×#397C22semidirect
120. C2×#397C22semidirect
121. C2×#397C22semidirect
122. C2×#397C22semidirect
123. C2×#397C22semidirect
125. C2×#396C22semidirect
126. C2×#396C22semidirect
127. C2×#396C22semidirect
128. C2×#396C22semidirect
129. C2×#396C22semidirect
140. C2×#394C22semidirect
141. C2×#394C22semidirect
142. C2×#394C22semidirect
143. C2×#394C22semidirect
144. C2×#394C22semidirect
145. C2×#394C22semidirect
146. C2×#394C22semidirect
147. C2×#394C22semidirect
148. C2×#394C22semidirect
156. C2×#392C22semidirect
157. C2×#392C22semidirect
158. C2×#392C22semidirect
159. C2×#392C22semidirect
160. C2×#392C22semidirect
161. C2×#392C22semidirect
162. C2×#392C22semidirect
163. C2×#392C22semidirect
165. C2×#390C22semidirect
166. C2×#390C22semidirect
167. C2×#390C22semidirect
168. C2×#389C22semidirect
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×#387C22semidirect
180. C2×#387C22semidirect
181. C2×#387C22semidirect
192. C2×#386C22semidirect
193. C2×#386C22semidirect
194. C2×#386C22semidirect
195. C2×#386C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
198. C2×#386C22semidirect
199. C2×#386C22semidirect
200. C2×#386C22semidirect
201. C2×#386C22semidirect
202. C2×#386C22semidirect
206. C2×#385C22semidirect
207. C2×#385C22semidirect
208. C2×#385C22semidirect
209. C2×#385C22semidirect
210. C2×#381C22semidirect
211. C2×#381C22semidirect
212. C2×#380C22semidirect
216. C22×#95C22semidirect
217. C22×#95C22semidirect
218. C22×#95C22semidirect
258. C2×#123C23semidirect
280. C2×#121C23semidirect
281. C2×#121C23semidirect
282. C2×#121C23semidirect
283. C2×#121C23semidirect
284. C2×#121C23semidirect
300. C2×C4×D4C23semidirect
301. C2×C4×D4C23semidirect
302. C2×C4×D4C23semidirect
326. C22×C4⋊C4C23semidirect
396. #401C23semidirect
397. #400C23semidirect
398. #400C23semidirect
399. #400C23semidirect
400. #400C23semidirect
401. #400C23semidirect
402. #399C23semidirect
403. #399C23semidirect
404. #399C23semidirect
405. #399C23semidirect
406. #399C23semidirect
407. #398C23semidirect
408. #398C23semidirect
409. #398C23semidirect
414. #397C23semidirect
415. #397C23semidirect
416. #397C23semidirect
417. #397C23semidirect
418. #397C23semidirect
419. #397C23semidirect
420. #397C23semidirect
421. #397C23semidirect
422. #397C23semidirect
423. #397C23semidirect
424. #397C23semidirect
425. #397C23semidirect
426. #397C23semidirect
427. #397C23semidirect
429. #396C23semidirect
430. #396C23semidirect
431. #396C23semidirect
432. #396C23semidirect
433. #396C23semidirect
444. #394C23semidirect
445. #394C23semidirect
446. #394C23semidirect
447. #394C23semidirect
448. #394C23semidirect
449. #394C23semidirect
450. #394C23semidirect
451. #394C23semidirect
452. #394C23semidirect
460. #392C23semidirect
461. #392C23semidirect
462. #392C23semidirect
463. #392C23semidirect
464. #392C23semidirect
465. #392C23semidirect
466. #392C23semidirect
467. #392C23semidirect
469. #390C23semidirect
470. #390C23semidirect
471. #390C23semidirect
472. #389C23semidirect
475. #388C23semidirect
476. #388C23semidirect
477. #388C23semidirect
478. #388C23semidirect
479. #388C23semidirect
480. #388C23semidirect
481. #388C23semidirect
482. #388C23semidirect
483. #387C23semidirect
484. #387C23semidirect
485. #387C23semidirect
496. #386C23semidirect
497. #386C23semidirect
498. #386C23semidirect
499. #386C23semidirect
500. #386C23semidirect
501. #386C23semidirect
502. #386C23semidirect
503. #386C23semidirect
504. #386C23semidirect
505. #386C23semidirect
506. #386C23semidirect
510. #385C23semidirect
511. #385C23semidirect
512. #385C23semidirect
513. #385C23semidirect
514. #381C23semidirect
515. #381C23semidirect
516. #380C23semidirect
556. C2×#95C23semidirect
557. C2×#95C23semidirect
558. C2×#95C23semidirect
1741. C2#52471direct (N × H)

Maximal subgroups

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

subgroupindex
#524712
C2×#27962
C2×#27522
C2×#27462
C2×#27352
C2×#27032
C2×#26882
C2×#26782
C2×#26682
C2×#28282
C2×#28292
C2×#28252
C2×#28372
C2×#28262
C2×#28272
C2×#28152
C2×#28122
C2×#25432
C2×#24162
C2×#24442
C2×#24242
C2×#24432
C2×#24102
C2×#26562
C2×#26432
C22×#3972