Finite Group Databasebeta

← C2×#54053 #8098881

Subgroups — C2×#54053 #8098881

Order 512.

6266 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#54053C2132yesmaximal, direct product factor
2C2×#2797C211yesmaximal, characteristic, complemented
3C2×#2796C211yesmaximal, characteristic, complemented
4C2×#2788C211yesmaximal, characteristic, complemented
5C2×#2784C211yesmaximal, characteristic, complemented
6C2×#2772C211yesmaximal, characteristic, complemented
7C2×#2730C211yesmaximal, characteristic, complemented
8C2×#2715C211yesmaximal, characteristic, complemented
9C2×#2705C211yesmaximal, characteristic, complemented
10C2×#2697C211yesmaximal, characteristic, complemented
11C2×#2684C211yesmaximal, characteristic, complemented
12C2×#2682C211yesmaximal, characteristic, complemented
13C2×#2681C211yesmaximal, characteristic, complemented
14C2×#2678C211yesmaximal, characteristic, complemented
15C2×#2676C211yesmaximal, characteristic, complemented
16C2×#2674C211yesmaximal, characteristic, complemented
17C2×#2670C211yesmaximal, characteristic, complemented
18C2×#2837C211yesmaximal, characteristic, complemented
19C2×#2824C211yesmaximal, characteristic, complemented
20C2×#2814C211yesmaximal, characteristic, complemented
21C2×#2535C211yesmaximal, characteristic, complemented
22C2×#2603C211yesmaximal, characteristic, complemented
23C2×#2529C211yesmaximal, characteristic, complemented
24C2×#2452C211yesmaximal, characteristic, complemented
25C2×#2461C211yesmaximal, characteristic, complemented
26C2×#2450C211yesmaximal, characteristic, complemented
27C2×#2425C211yesmaximal, characteristic, complemented
28C2×#2424C211yesmaximal, characteristic, complemented
29C2×#2418C211yesmaximal, characteristic, complemented
30C2×#2640C211yesmaximal, characteristic, complemented
31C2×#2639C211yesmaximal, characteristic, complemented
32C2×#2626C211yesmaximal, characteristic, complemented
33C22×C4⋊Q8C2211yescharacteristic, complemented
34C22×#126C2211yescharacteristic, complemented
35C22×#124C2211yescharacteristic
36C22×#124C2211yescharacteristic
37C22×#124C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic
41C22×#123C2211yescharacteristic, complemented
42C22×C22⋊Q8C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic, complemented
44C22×C22⋊Q8C2211yescharacteristic, complemented
45C22×C22⋊Q8C2211yescharacteristic, complemented
46C22×#121C2211yescharacteristic
47C22×#121C2211yescharacteristic
48C22×#121C2211yescharacteristic
49C22×#121C2211yescharacteristic, complemented
50C22×#120C2211yescharacteristic
51C22×#120C2211yescharacteristic
52C22×#120C2211yescharacteristic
53C22×C4×D4C2211yescharacteristic
54C22×C4×D4C2211yescharacteristic
55C22×C4×D4C2211yescharacteristic, complemented
56C23×C22⋊C4C2211yescharacteristic
57#2837C22116yescomplemented
58#2824C22116yescomplemented
59#2814C22116yescomplemented
60#2797C22116yescomplemented
61#2796C22116yescomplemented
62#2788C22116yescomplemented
63#2784C22116yescomplemented
64#2772C22116yescomplemented
65#2730C22116yescomplemented
66#2715C22116yescomplemented
67#2705C22116yescomplemented
68#2697C22116yescomplemented
69#2684C22116yescomplemented
70#2682C22116yescomplemented
71#2681C22116yescomplemented
72#2678C22116yescomplemented
73#2676C22116yescomplemented
74#2674C22116yescomplemented
75#2670C22116yescomplemented
76#2640C22116yescomplemented
77#2639C22116yescomplemented
78#2626C22116yescomplemented
79#2603C22116yescomplemented
80#2535C22116yescomplemented
81#2529C22116yescomplemented
82#2461C22116yescomplemented
83#2452C22116yescomplemented
84#2450C22116yescomplemented
85#2425C22116yescomplemented
86#2424C22116yescomplemented
87#2418C22116yescomplemented
88C2×#400C2211yescharacteristic, complemented
89C2×#400C2211yescharacteristic, complemented
90C2×#400C2211yescharacteristic, complemented
91C2×#400C2211yescharacteristic, complemented
92C2×#399C2211yescharacteristic
93C2×#399C2211yescharacteristic
94C2×#399C2211yescharacteristic
95C2×#398C2211yescharacteristic, complemented
96C2×#398C2211yescharacteristic, complemented
97C2×#398C2211yescharacteristic, complemented
98C2×#398C2211yescharacteristic, complemented
99C2×#397C2211yescharacteristic
100C2×#397C2211yescharacteristic
101C2×#397C2211yescharacteristic
102C2×#397C2211yescharacteristic
103C2×#397C2211yescharacteristic
104C2×#397C2211yescharacteristic
105C2×#397C2211yescharacteristic, complemented
106C2×#397C2211yescharacteristic, complemented
107C2×#397C2211yescharacteristic, complemented
108C2×#397C2211yescharacteristic, complemented
109C2×#397C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic, complemented
111C2×#396C2211yescharacteristic
112C2×#396C2211yescharacteristic
113C2×#396C2211yescharacteristic
114C2×#396C2211yescharacteristic
115C2×#396C2211yescharacteristic
116C2×#396C2211yescharacteristic
117C2×#396C2211yescharacteristic
118C2×#396C2211yescharacteristic
119C2×#396C2211yescharacteristic, complemented
120C2×#396C2211yescharacteristic, complemented
121C2×#396C2211yescharacteristic, complemented
122C2×#395C2211yescharacteristic, complemented
123C2×#395C2211yescharacteristic, complemented
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic
132C2×#394C2211yescharacteristic
133C2×#394C2211yescharacteristic
134C2×#394C2211yescharacteristic
135C2×#394C2211yescharacteristic
136C2×#394C2211yescharacteristic, complemented
137C2×#394C2211yescharacteristic, complemented
138C2×#393C2211yescharacteristic
139C2×#393C2211yescharacteristic
140C2×#393C2211yescharacteristic
141C2×#393C2211yescharacteristic
142C2×#393C2211yescharacteristic
143C2×#393C2211yescharacteristic, complemented
144C2×#393C2211yescharacteristic, complemented
145C2×#393C2211yescharacteristic, complemented
146C2×#392C2211yescharacteristic
147C2×#392C2211yescharacteristic
148C2×#392C2211yescharacteristic
149C2×#392C2211yescharacteristic
150C2×#392C2211yescharacteristic
151C2×#392C2211yescharacteristic
152C2×#391C2211yescharacteristic, complemented
153C2×#391C2211yescharacteristic, complemented
154C2×#390C2211yescharacteristic
155C2×#390C2211yescharacteristic
156C2×#390C2211yescharacteristic
157C2×#390C2211yescharacteristic
158C2×#390C2211yescharacteristic
159C2×#390C2211yescharacteristic
160C2×#390C2211yescharacteristic, complemented
161C2×#390C2211yescharacteristic, complemented
162C2×#389C2211yescharacteristic, complemented
163C2×#389C2211yescharacteristic, complemented
164C2×#389C2211yescharacteristic, complemented
165C2×#389C2211yescharacteristic, complemented
166C2×#389C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic
168C2×#388C2211yescharacteristic
169C2×#388C2211yescharacteristic
170C2×#388C2211yescharacteristic
171C2×#388C2211yescharacteristic
172C2×#388C2211yescharacteristic
173C2×#388C2211yescharacteristic
174C2×#388C2211yescharacteristic
175C2×#388C2211yescharacteristic
176C2×#388C2211yescharacteristic
177C2×#388C2211yescharacteristic, complemented
178C2×#388C2211yescharacteristic, complemented
179C2×#388C2211yescharacteristic, complemented
180C2×#387C2211yescharacteristic, complemented
181C2×#387C2211yescharacteristic, complemented
182C2×#387C2211yescharacteristic, complemented
183C2×#387C2211yescharacteristic, complemented
184C2×#387C2211yescharacteristic, complemented
185C2×#387C2211yescharacteristic, complemented
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#386C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic
200C2×#385C2211yescharacteristic
201C2×#385C2211yescharacteristic
202C2×#385C2211yescharacteristic
203C2×#385C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#385C2211yescharacteristic, complemented
207C2×#385C2211yescharacteristic, complemented
208C2×#382C2211yescharacteristic, complemented
209C2×#380C2211yescharacteristic
210C2×#380C2211yescharacteristic
211C2×#380C2211yescharacteristic, complemented
212C2×#380C2211yescharacteristic, complemented
213C2×#379C2211yescharacteristic
214C2×#379C2211yescharacteristic
215C2×#379C2211yescharacteristic
216C2×C4×C4⋊C4C2211yescharacteristic, complemented
217C2×#376C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C2×C4⋊Q8—44no—
243C2×C4⋊Q8C2318yescomplemented
244C2×#126—44no—
245C2×#126C2318yescomplemented
246C2×#124—44no—
247C2×#124—44no—
248C2×#124—44no—
249C2×#124C2318yes—
250C2×#124C2318yes—
251C2×#124C2318yes—
252C2×#123—44no—
253C2×#123—44no—
254C2×#123—44no—
255C2×#123—44no—
256C2×#123C2318yes—
257C2×#123C2318yes—
258C2×#123C2318yes—
259C2×#123C2318yescomplemented
260C2×C22⋊Q8—44no—
261C2×C22⋊Q8—44no—
262C2×C22⋊Q8—44no—
263C2×C22⋊Q8—44no—
264C2×C22⋊Q8C2318yes—
265C2×C22⋊Q8C2318yescomplemented
266C2×C22⋊Q8C2318yescomplemented
267C2×C22⋊Q8C2318yescomplemented
268C2×#121—44no—
269C2×#121—44no—
270C2×#121—44no—
271C2×#121—44no—
272C2×#121C2318yes—
273C2×#121C2318yes—
274C2×#121C2318yes—
275C2×#121C2318yescomplemented
276C2×#120—44no—
277C2×#120—44no—
278C2×#120—44no—
279C2×#120C2318yes—
280C2×#120C2318yes—
281C2×#120C2318yes—
282C2×C4×D4—44no—
283C2×C4×D4—44no—
284C2×C4×D4—44no—
285C2×C4×D4C2318yes—
286C2×C4×D4C2318yes—
287C2×C4×D4C2318yescomplemented
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×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×C22⋊C4—44no—
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⋊C4C2318yes—
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×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384#400C2318yescomplemented
385#400C2318yescomplemented
386#400C2318yescomplemented
387#400C2318yescomplemented
388#399C2318yes—
389#399C2318yes—
390#399C2318yes—
391#398C2318yescomplemented
392#398C2318yescomplemented
393#398C2318yescomplemented
394#398C2318yescomplemented
395#397C2318yes—
396#397C2318yes—
397#397C2318yes—
398#397C2318yes—
399#397C2318yes—
400#397C2318yes—
401#397C2318yescomplemented
402#397C2318yescomplemented
403#397C2318yescomplemented
404#397C2318yescomplemented
405#397C2318yescomplemented
406#397C2318yescomplemented
407#396C2318yes—
408#396C2318yes—
409#396C2318yes—
410#396C2318yes—
411#396C2318yes—
412#396C2318yes—
413#396C2318yes—
414#396C2318yes—
415#396C2318yescomplemented
416#396C2318yescomplemented
417#396C2318yescomplemented
418#395C2318yescomplemented
419#395C2318yescomplemented
420#394C2318yes—
421#394C2318yes—
422#394C2318yes—
423#394C2318yes—
424#394C2318yes—
425#394C2318yes—
426#394C2318yes—
427#394C2318yes—
428#394C2318yes—
429#394C2318yes—
430#394C2318yes—
431#394C2318yes—
432#394C2318yescomplemented
433#394C2318yescomplemented
434#393C2318yes—
435#393C2318yes—
436#393C2318yes—
437#393C2318yes—
438#393C2318yes—
439#393C2318yescomplemented
440#393C2318yescomplemented
441#393C2318yescomplemented
442#392C2318yes—
443#392C2318yes—
444#392C2318yes—
445#392C2318yes—
446#392C2318yes—
447#392C2318yes—
448#391C2318yescomplemented
449#391C2318yescomplemented
450#390C2318yes—
451#390C2318yes—
452#390C2318yes—
453#390C2318yes—
454#390C2318yes—
455#390C2318yes—
456#390C2318yescomplemented
457#390C2318yescomplemented
458#389C2318yescomplemented
459#389C2318yescomplemented
460#389C2318yescomplemented
461#389C2318yescomplemented
462#389C2318yescomplemented
463#388C2318yes—
464#388C2318yes—
465#388C2318yes—
466#388C2318yes—
467#388C2318yes—
468#388C2318yes—
469#388C2318yes—
470#388C2318yes—
471#388C2318yes—
472#388C2318yes—
473#388C2318yescomplemented
474#388C2318yescomplemented
475#388C2318yescomplemented
476#387C2318yescomplemented
477#387C2318yescomplemented
478#387C2318yescomplemented
479#387C2318yescomplemented
480#387C2318yescomplemented
481#387C2318yescomplemented
482#386C2318yes—
483#386C2318yes—
484#386C2318yes—
485#386C2318yes—
486#386C2318yes—
487#386C2318yes—
488#386C2318yes—
489#386C2318yes—
490#386C2318yes—
491#386C2318yes—
492#386C2318yescomplemented
493#386C2318yescomplemented
494#386C2318yescomplemented
495#385C2318yes—
496#385C2318yes—
497#385C2318yes—
498#385C2318yes—
499#385C2318yescomplemented
500#385C2318yescomplemented
501#385C2318yescomplemented
502#385C2318yescomplemented
503#385C2318yescomplemented
504#382C2318yescomplemented
505#380C2318yes—
506#380C2318yes—
507#380C2318yescomplemented
508#380C2318yescomplemented
509#379C2318yes—
510#379C2318yes—
511#379C2318yes—
512C4×C4⋊C4C2318yescomplemented
513#376C2318yescomplemented
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
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2318yescomplemented
553C25—24no—
554C25—42no—
555C25—42no—
556C25—42no—
557C25—42no—
558C25—42no—
559C25—42no—
560C25C2411yescharacteristic
561C25C2411yescharacteristic
562C25C2411yescharacteristic
563C25C2411yescharacteristic
564C25C2411yescharacteristic
565C25C2411yescharacteristic
566C25C2414yes—
567C22×Q8—24no—
568C22×Q8—42no—
569C22×Q8—42no—
570C22×Q8—42no—
571C22×Q8—42no—
572C22×Q8—42no—
573C22×Q8—42no—
574C22×Q8—42no—
575C22×Q8—42no—
576C22×Q8C2414yes—
577C22×Q8C2414yes—
578C22×Q8C2414yes—
579C22×D4—24no—
580C22×D4—24no—
581C22×D4—24no—
582C22×D4—24no—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—24no—
587C22×D4—24no—
588C22×D4—24no—
589C22×D4—24no—
590C22×D4—42no—
591C22×D4—42no—
592C22×D4—42no—
593C22×D4—42no—
594C22×D4—42no—
595C22×D4—42no—
596C22×D4—42no—
597C22×D4—42no—
598C22×D4—42no—
599C22×D4—42no—
600C22×D4—42no—
601C22×D4—42no—
602C22×D4—42no—
603C22×D4—42no—
604C22×D4—42no—
605C22×D4—42no—
606C22×D4—42no—
607C22×D4—42no—
608C22×D4—42no—
609C22×D4—42no—
610C22×D4—42no—
611C22×D4—42no—
612C22×D4—42no—
613C22×D4—42no—
614C22×D4—42no—
615C22×D4C2414yes—
616C22×D4C2414yes—
617C22×D4C2414yes—
618C22×D4C2414yes—
619C22×D4C2414yes—
620C22×D4C2414yes—
621C22×D4C2414yes—
622C22×D4C2414yes—
623C22×D4C2414yes—
624C22×D4C2414yes—
625C22×D4C2414yes—
626C22×D4C2414yes—
627C23×C4—24no—
628C23×C4—24no—
629C23×C4—24no—
630C23×C4—42no—
631C23×C4—42no—
632C23×C4—42no—
633C23×C4—42no—
634C23×C4—42no—
635C23×C4—42no—
636C23×C4—42no—
637C23×C4—42no—
638C23×C4—42no—
639C23×C4—42no—
640C23×C4—42no—
641C23×C4—42no—
642C23×C4—42no—
643C23×C4—42no—
644C23×C4—42no—
645C23×C4—42no—
646C23×C4—42no—
647C23×C4—42no—
648C23×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2414yes—
674C23×C4C2414yes—
675C23×C4C2414yes—
676C23×C4C2414yes—
677C23×C4C2414yes—
678C23×C4C2414yes—
679C23×C4C2414yes—
680C4⋊Q8—416no—
681#126—416no—
682#124—416no—
683#124—416no—
684#124—416no—
685#123—416no—
686#123—416no—
687#123—416no—
688#123—416no—
689C22⋊Q8—416no—
690C22⋊Q8—416no—
691C22⋊Q8—416no—
692C22⋊Q8—416no—
693#121—416no—
694#121—416no—
695#121—416no—
696#121—416no—
697#120—416no—
698#120—416no—
699#120—416no—
700C4×D4—416no—
701C4×D4—416no—
702C4×D4—416no—
703C2×C4⋊C4—24no—
704C2×C4⋊C4—24no—
705C2×C4⋊C4—24no—
706C2×C4⋊C4—24no—
707C2×C4⋊C4—24no—
708C2×C4⋊C4—24no—
709C2×C4⋊C4—24no—
710C2×C4⋊C4—24no—
711C2×C4⋊C4—42no—
712C2×C4⋊C4—42no—
713C2×C4⋊C4—42no—
714C2×C4⋊C4—42no—
715C2×C4⋊C4—42no—
716C2×C4⋊C4—42no—
717C2×C4⋊C4—42no—
718C2×C4⋊C4—42no—
719C2×C4⋊C4—42no—
720C2×C4⋊C4—42no—
721C2×C4⋊C4—42no—
722C2×C4⋊C4—42no—
723C2×C4⋊C4—42no—
724C2×C4⋊C4—42no—
725C2×C4⋊C4—42no—
726C2×C4⋊C4—42no—
727C2×C4⋊C4—42no—
728C2×C4⋊C4—42no—
729C2×C4⋊C4—42no—
730C2×C4⋊C4—42no—
731C2×C4⋊C4—42no—
732C2×C4⋊C4—42no—
733C2×C4⋊C4—42no—
734C2×C4⋊C4C2414yes—
735C2×C4⋊C4C2414yes—
736C2×C4⋊C4C2414yes—
737C2×C4⋊C4C2414yes—
738C2×C4⋊C4C2414yes—
739C2×C4⋊C4C2414yes—
740C2×C4⋊C4C2414yes—
741C2×C4⋊C4C2414yes—
742C2×C4⋊C4C2414yes—
743C2×C4⋊C4C2414yes—
744C2×C4⋊C4C2414yes—
745C2×C4⋊C4C2414yes—
746C2×C4⋊C4C2414yes—
747C2×C4⋊C4C2414yes—
748C2×C4⋊C4C2414yes—
749C2×C4⋊C4C2414yes—
750C2×C4⋊C4C2414yes—
751C2×C4⋊C4C2414yes—
752C2×C4⋊C4C2414yes—
753C2×C4⋊C4C2414yes—
754C2×C4⋊C4C2414yes—
755C2×C4⋊C4C2414yes—
756C2×C4⋊C4C2414yes—
757C2×C4⋊C4C2414yes—
758C2×C4⋊C4C2414yes—
759C2×C4⋊C4C2414yes—
760C2×C4⋊C4C2414yes—
761C2×C4⋊C4C2414yes—
762C2×C4⋊C4C2414yes—
763C2×C4⋊C4C2414yes—
764C2×C4⋊C4C2414yes—
765C2×C22⋊C4—24no—
766C2×C22⋊C4—24no—
767C2×C22⋊C4—24no—
768C2×C22⋊C4—24no—
769C2×C22⋊C4—24no—
770C2×C22⋊C4—24no—
771C2×C22⋊C4—24no—
772C2×C22⋊C4—24no—
773C2×C22⋊C4—24no—
774C2×C22⋊C4—24no—
775C2×C22⋊C4—24no—
776C2×C22⋊C4—24no—
777C2×C22⋊C4—24no—
778C2×C22⋊C4—24no—
779C2×C22⋊C4—416no—
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⋊C4—42no—
791C2×C22⋊C4—42no—
792C2×C22⋊C4—42no—
793C2×C22⋊C4—42no—
794C2×C22⋊C4—42no—
795C2×C22⋊C4—42no—
796C2×C22⋊C4—42no—
797C2×C22⋊C4—42no—
798C2×C22⋊C4—42no—
799C2×C22⋊C4—42no—
800C2×C22⋊C4—42no—
801C2×C22⋊C4—42no—
802C2×C22⋊C4—42no—
803C2×C22⋊C4—42no—
804C2×C22⋊C4—42no—
805C2×C22⋊C4—42no—
806C2×C22⋊C4—42no—
807C2×C22⋊C4—42no—
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⋊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×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C42—24no—
879C2×C42—24no—
880C2×C42—24no—
881C2×C42—42no—
882C2×C42—42no—
883C2×C42—42no—
884C2×C42—42no—
885C2×C42C2414yes—
886C2×C42C2414yes—
887C2×C42C2414yes—
888C2×C42C2414yes—
889C2×C42C2414yes—
890C2×C42C2414yes—
891C2×C42C2414yes—
892#95C2414yes—
893#95C2414yes—
894#95C2414yes—
895#95C2414yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899#95C2414yes—
900#95C2414yes—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930C24—22no—
931C24—22no—
932C24—22no—
933C24—22no—
934C24—22no—
935C24—22no—
936C24—22no—
937C24—22no—
938C24—22no—
939C24—22no—
940C24—22no—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—22no—
946C24—22no—
947C24—22no—
948C24—22no—
949C24—22no—
950C24—22no—
951C24—22no—
952C24—22no—
953C24—22no—
954C24—22no—
955C24—22no—
956C24—22no—
957C24—22no—
958C24—22no—
959C24—22no—
960C24—22no—
961C24—22no—
962C24—22no—
963C24—22no—
964C24—22no—
965C24—22no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—28no—
971C24—44no—
972C24—44no—
973C24—44no—
974C24—44no—
975C24—44no—
976C24—44no—
977C24—416no—
978C24—88no—
979C24—88no—
980C24—88no—
981C24—88no—
982C24—88no—
983C24—88no—
984C24H(5,𝔽2)14yes—
985C242−1+414yes—
986C24C2512yes—
987C24C2512yes—
988C24C2512yes—
989C24C2512yes—
990C24C2512yes—
991C24C2512yes—
992C24C2511yescharacteristic
993C2×Q8—28no—
994C2×Q8—44no—
995C2×Q8—44no—
996C2×Q8—44no—
997C2×Q8—44no—
998C2×Q8—44no—
999C2×Q8—44no—
1000C2×Q8—44no—
1001C2×Q8—44no—
1002C2×Q8—88no—
1003C2×Q8—88no—
1004C2×Q8—88no—
1005C2×D4—28no—
1006C2×D4—28no—
1007C2×D4—28no—
1008C2×D4—28no—
1009C2×D4—28no—
1010C2×D4—28no—
1011C2×D4—28no—
1012C2×D4—28no—
1013C2×D4—28no—
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—44no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—416no—
1020C2×D4—416no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—416no—
1044C2×D4—88no—
1045C2×D4—88no—
1046C2×D4—88no—
1047C2×D4—88no—
1048C2×D4—88no—
1049C2×D4—88no—
1050C2×D4—88no—
1051C2×D4—88no—
1052C2×D4—88no—
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—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—28no—
1126C22×C4—28no—
1127C22×C4—28no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—88no—
1147C22×C4—88no—
1148C22×C4—88no—
1149C22×C4—88no—
1150C22×C4—88no—
1151C22×C4—88no—
1152C22×C4—88no—
1153C22×C4H(5,𝔽2)14yes—
1154C22×C4H(5,𝔽2)14yes—
1155C22×C4H(5,𝔽2)14yes—
1156C22×C4C2512yes—
1157C22×C4C2512yes—
1158C22×C4C2512yes—
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2512yes—
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2512yes—
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C4⋊C4—28no—
1182C4⋊C4—28no—
1183C4⋊C4—28no—
1184C4⋊C4—28no—
1185C4⋊C4—28no—
1186C4⋊C4—28no—
1187C4⋊C4—28no—
1188C4⋊C4—28no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C22⋊C4—28no—
1213C22⋊C4—28no—
1214C22⋊C4—28no—
1215C22⋊C4—28no—
1216C22⋊C4—28no—
1217C22⋊C4—28no—
1218C22⋊C4—28no—
1219C22⋊C4—28no—
1220C22⋊C4—28no—
1221C22⋊C4—28no—
1222C22⋊C4—28no—
1223C22⋊C4—28no—
1224C22⋊C4—28no—
1225C22⋊C4—28no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—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—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C42—28no—
1269C42—28no—
1270C42—28no—
1271C42—44no—
1272C42—44no—
1273C42—44no—
1274C42—44no—
1275C23—22no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—22no—
1281C23—22no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—22no—
1286C23—22no—
1287C23—28no—
1288C23—28no—
1289C23—28no—
1290C23—28no—
1291C23—28no—
1292C23—28no—
1293C23—22no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—416no—
1322C23—44no—
1323C23—44no—
1324C23—44no—
1325C23—44no—
1326C23—44no—
1327C23—44no—
1328C23—44no—
1329C23—44no—
1330C23—44no—
1331C23—44no—
1332C23—44no—
1333C23—44no—
1334C23—44no—
1335C23—44no—
1336C23—44no—
1337C23—44no—
1338C23—44no—
1339C23—44no—
1340C23—44no—
1341C23—44no—
1342C23—44no—
1343C23—44no—
1344C23—44no—
1345C23—44no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23—44no—
1357C23—44no—
1358C23—88no—
1359C23—88no—
1360C23—88no—
1361C23—88no—
1362C23—88no—
1363C23—88no—
1364C23—864no—
1365C23C2×H(5,𝔽2)14yes—
1366C23C2×H(5,𝔽2)12yes—
1367C23C2×H(5,𝔽2)12yes—
1368C23C2×H(5,𝔽2)12yes—
1369C23C2×H(5,𝔽2)12yes—
1370C23C2×2−1+414yes—
1371C23C2×2−1+412yes—
1372C23#58512yes—
1373C23#58512yes—
1374C23C2611yescharacteristic
1375Q8—88no—
1376Q8—88no—
1377Q8—88no—
1378D4—416no—
1379D4—416no—
1380D4—416no—
1381D4—88no—
1382D4—88no—
1383D4—88no—
1384D4—88no—
1385D4—88no—
1386D4—88no—
1387D4—88no—
1388D4—88no—
1389D4—88no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—28no—
1397C2×C4—28no—
1398C2×C4—28no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—44no—
1471C2×C4—44no—
1472C2×C4—44no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—88no—
1488C2×C4—88no—
1489C2×C4—88no—
1490C2×C4—88no—
1491C2×C4—88no—
1492C2×C4—88no—
1493C2×C4—88no—
1494C2×C4C2×H(5,𝔽2)14yes—
1495C2×C4C2×H(5,𝔽2)14yes—
1496C2×C4C2×H(5,𝔽2)14yes—
1497C22—24no—
1498C22—24no—
1499C22—24no—
1500C22—24no—
1501C22—24no—
1502C22—24no—
1503C22—42no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—416no—
1512C22—416no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—832no—
1542C22—88no—
1543C22—88no—
1544C22—88no—
1545C22—88no—
1546C22#353514yes—
1547C22#353614yes—
1548C22#353714yes—
1549C22#354114yes—
1550C22#354514yes—
1551C22#354614yes—
1552C22#355814yes—
1553C22C22×H(5,𝔽2)11yescharacteristic
1554C22C22×H(5,𝔽2)11yescharacteristic
1555C22C22×H(5,𝔽2)11yescharacteristic
1556C22C22×H(5,𝔽2)11yescharacteristic
1557C22C22×2−1+411yescharacteristic
1558C22C2×#58511yescharacteristic
1559C22C2×#58511yescharacteristic
1560C4—24no—
1561C4—24no—
1562C4—24no—
1563C4—42no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C2—44no—
1586C2—44no—
1587C2—82no—
1588C2—82no—
1589C2—82no—
1590C2—82no—
1591C2#5405318yesdirect product factor
1592C2C2×#354111yescharacteristic
1593C2C2×#353511yescharacteristic
1594C2C2×#353611yescharacteristic
1595C2C2×#353711yescharacteristic
1596C2C2×#355811yescharacteristic
1597C2C2×#354611yescharacteristic
1598C2C2×#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. #54053C2direct (N × H)
2. C2×#2797C2semidirect
3. C2×#2796C2semidirect
4. C2×#2788C2semidirect
5. C2×#2784C2semidirect
6. C2×#2772C2semidirect
7. C2×#2730C2semidirect
8. C2×#2715C2semidirect
9. C2×#2705C2semidirect
10. C2×#2697C2semidirect
11. C2×#2684C2semidirect
12. C2×#2682C2semidirect
13. C2×#2681C2semidirect
14. C2×#2678C2semidirect
15. C2×#2676C2semidirect
16. C2×#2674C2semidirect
17. C2×#2670C2semidirect
18. C2×#2837C2semidirect
19. C2×#2824C2semidirect
20. C2×#2814C2semidirect
21. C2×#2535C2semidirect
22. C2×#2603C2semidirect
23. C2×#2529C2semidirect
24. C2×#2452C2semidirect
25. C2×#2461C2semidirect
26. C2×#2450C2semidirect
27. C2×#2425C2semidirect
28. C2×#2424C2semidirect
29. C2×#2418C2semidirect
30. C2×#2640C2semidirect
31. C2×#2639C2semidirect
32. C2×#2626C2semidirect
33. C22×C4⋊Q8C22semidirect
34. C22×#126C22semidirect
41. C22×#123C22semidirect
43. C22×C22⋊Q8C22semidirect
44. C22×C22⋊Q8C22semidirect
45. C22×C22⋊Q8C22semidirect
49. C22×#121C22semidirect
55. C22×C4×D4C22semidirect
57. #2837C22semidirect
58. #2824C22semidirect
59. #2814C22semidirect
60. #2797C22semidirect
61. #2796C22semidirect
62. #2788C22semidirect
63. #2784C22semidirect
64. #2772C22semidirect
65. #2730C22semidirect
66. #2715C22semidirect
67. #2705C22semidirect
68. #2697C22semidirect
69. #2684C22semidirect
70. #2682C22semidirect
71. #2681C22semidirect
72. #2678C22semidirect
73. #2676C22semidirect
74. #2674C22semidirect
75. #2670C22semidirect
76. #2640C22semidirect
77. #2639C22semidirect
78. #2626C22semidirect
79. #2603C22semidirect
80. #2535C22semidirect
81. #2529C22semidirect
82. #2461C22semidirect
83. #2452C22semidirect
84. #2450C22semidirect
85. #2425C22semidirect
86. #2424C22semidirect
87. #2418C22semidirect
88. C2×#400C22semidirect
89. C2×#400C22semidirect
90. C2×#400C22semidirect
91. C2×#400C22semidirect
95. C2×#398C22semidirect
96. C2×#398C22semidirect
97. C2×#398C22semidirect
98. C2×#398C22semidirect
105. C2×#397C22semidirect
106. C2×#397C22semidirect
107. C2×#397C22semidirect
108. C2×#397C22semidirect
109. C2×#397C22semidirect
110. C2×#397C22semidirect
119. C2×#396C22semidirect
120. C2×#396C22semidirect
121. C2×#396C22semidirect
122. C2×#395C22semidirect
123. C2×#395C22semidirect
136. C2×#394C22semidirect
137. C2×#394C22semidirect
143. C2×#393C22semidirect
144. C2×#393C22semidirect
145. C2×#393C22semidirect
152. C2×#391C22semidirect
153. C2×#391C22semidirect
160. C2×#390C22semidirect
161. C2×#390C22semidirect
162. C2×#389C22semidirect
163. C2×#389C22semidirect
164. C2×#389C22semidirect
165. C2×#389C22semidirect
166. C2×#389C22semidirect
177. C2×#388C22semidirect
178. C2×#388C22semidirect
179. C2×#388C22semidirect
180. C2×#387C22semidirect
181. C2×#387C22semidirect
182. C2×#387C22semidirect
183. C2×#387C22semidirect
184. C2×#387C22semidirect
185. C2×#387C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
198. C2×#386C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
206. C2×#385C22semidirect
207. C2×#385C22semidirect
208. C2×#382C22semidirect
211. C2×#380C22semidirect
212. C2×#380C22semidirect
216. C2×C4×C4⋊C4C22semidirect
217. C2×#376C22semidirect
218. C22×#95C22semidirect
243. C2×C4⋊Q8C23semidirect
245. C2×#126C23semidirect
259. C2×#123C23semidirect
265. C2×C22⋊Q8C23semidirect
266. C2×C22⋊Q8C23semidirect
267. C2×C22⋊Q8C23semidirect
275. C2×#121C23semidirect
287. C2×C4×D4C23semidirect
384. #400C23semidirect
385. #400C23semidirect
386. #400C23semidirect
387. #400C23semidirect
391. #398C23semidirect
392. #398C23semidirect
393. #398C23semidirect
394. #398C23semidirect
401. #397C23semidirect
402. #397C23semidirect
403. #397C23semidirect
404. #397C23semidirect
405. #397C23semidirect
406. #397C23semidirect
415. #396C23semidirect
416. #396C23semidirect
417. #396C23semidirect
418. #395C23semidirect
419. #395C23semidirect
432. #394C23semidirect
433. #394C23semidirect
439. #393C23semidirect
440. #393C23semidirect
441. #393C23semidirect
448. #391C23semidirect
449. #391C23semidirect
456. #390C23semidirect
457. #390C23semidirect
458. #389C23semidirect
459. #389C23semidirect
460. #389C23semidirect
461. #389C23semidirect
462. #389C23semidirect
473. #388C23semidirect
474. #388C23semidirect
475. #388C23semidirect
476. #387C23semidirect
477. #387C23semidirect
478. #387C23semidirect
479. #387C23semidirect
480. #387C23semidirect
481. #387C23semidirect
492. #386C23semidirect
493. #386C23semidirect
494. #386C23semidirect
499. #385C23semidirect
500. #385C23semidirect
501. #385C23semidirect
502. #385C23semidirect
503. #385C23semidirect
504. #382C23semidirect
507. #380C23semidirect
508. #380C23semidirect
512. C4×C4⋊C4C23semidirect
513. #376C23semidirect
552. C2×#95C23semidirect
1591. C2#54053direct (N × H)

Maximal subgroups

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

subgroupindex
#540532
C2×#27972
C2×#27962
C2×#27882
C2×#27842
C2×#27722
C2×#27302
C2×#27152
C2×#27052
C2×#26972
C2×#26842
C2×#26822
C2×#26812
C2×#26782
C2×#26762
C2×#26742
C2×#26702
C2×#28372
C2×#28242
C2×#28142
C2×#25352
C2×#26032
C2×#25292
C2×#24522
C2×#24612
C2×#24502
C2×#24252
C2×#24242
C2×#24182
C2×#26402
C2×#26392
C2×#26262