Finite Group Databasebeta

← C2×#38052 #7635367

Subgroups — C2×#38052 #7635367

Order 512.

8198 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2746C211yesmaximal, characteristic, complemented
2C2×#2743C211yesmaximal, characteristic, complemented
3C2×#2740C211yesmaximal, characteristic, complemented
4C2×#2737C211yesmaximal, characteristic, complemented
5C2×#2706C211yesmaximal, characteristic, complemented
6C2×#2705C211yesmaximal, characteristic, complemented
7C2×#2696C211yesmaximal, characteristic, complemented
8C2×#2693C211yesmaximal, characteristic, complemented
9#38052C2132yesmaximal, direct product factor
10C2×#2849C211yesmaximal, characteristic, complemented
11C2×#2569C211yesmaximal, characteristic, complemented
12C2×#2564C211yesmaximal, characteristic, complemented
13C2×#2510C211yesmaximal, characteristic, complemented
14C2×#2505C211yesmaximal, characteristic, complemented
15C2×#2481C211yesmaximal, characteristic, complemented
16C2×#2480C211yesmaximal, characteristic, complemented
17C2×#2412C211yesmaximal, characteristic, complemented
18C2×#2449C211yesmaximal, characteristic, complemented
19C2×#2443C211yesmaximal, characteristic, complemented
20C2×#2443C211yesmaximal, characteristic, complemented
21C2×#2418C211yesmaximal, characteristic, complemented
22C2×#2437C211yesmaximal, characteristic, complemented
23C2×#2437C211yesmaximal, characteristic, complemented
24C2×#2410C211yesmaximal, characteristic
25C2×#2643C211yesmaximal, characteristic, complemented
26C2×#2639C211yesmaximal, characteristic, complemented
27C2×#2358C211yesmaximal, characteristic, complemented
28C2×D4×C22⋊C4C211yesmaximal, characteristic, complemented
29C2×#2325C211yesmaximal, characteristic, complemented
30C2×#2318C211yesmaximal, characteristic, complemented
31C22×#386C211yesmaximal, characteristic, complemented
32C22×#380C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C25×C4C2211yescharacteristic
35C22×#126C2211yescharacteristic, complemented
36C22×#123C2211yescharacteristic, complemented
37C22×#123C2211yescharacteristic, complemented
38C22×#123C2211yescharacteristic, complemented
39C22×#123C2211yescharacteristic, complemented
40C22×C22⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic, complemented
42C22×C22⋊Q8C2211yescharacteristic, complemented
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#120C2211yescharacteristic
46C22×#120C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic, complemented
51C23×C4⋊C4C2211yescharacteristic, complemented
52C23×C4⋊C4C2211yescharacteristic, complemented
53C23×C22⋊C4C2211yescharacteristic
54C23×C22⋊C4C2211yescharacteristic
55C23×C22⋊C4C2211yescharacteristic
56C23×C22⋊C4C2211yescharacteristic
57C23×C22⋊C4C2211yescharacteristic
58C23×C22⋊C4C2211yescharacteristic
59#2849C22116yescomplemented
60#2746C22116yescomplemented
61#2743C22116yescomplemented
62#2740C22116yescomplemented
63#2737C22116yescomplemented
64#2706C22116yescomplemented
65#2705C22116yescomplemented
66#2696C22116yescomplemented
67#2693C22116yescomplemented
68#2643C22116yescomplemented
69#2639C22116yescomplemented
70#2569C22116yescomplemented
71#2564C22116yescomplemented
72#2510C22116yescomplemented
73#2505C22116yescomplemented
74#2481C22116yescomplemented
75#2480C22116yescomplemented
76#2449C22116yescomplemented
77#2443C22116yescomplemented
78#2443C22116yescomplemented
79#2437C22116yescomplemented
80#2437C22116yescomplemented
81#2418C22116yescomplemented
82#2412C22116yescomplemented
83#2410C22116yes—
84C2×#401C2211yescharacteristic, complemented
85C2×#400C2211yescharacteristic, complemented
86C2×#400C2211yescharacteristic, complemented
87C2×#400C2211yescharacteristic, complemented
88C2×#400C2211yescharacteristic, complemented
89C2×#400C2211yescharacteristic, complemented
90C2×#400C2211yescharacteristic, complemented
91C2×#400C2211yescharacteristic, complemented
92C2×#399C2211yescharacteristic, complemented
93C2×#399C2211yescharacteristic, complemented
94C2×#399C2211yescharacteristic, complemented
95C2×#399C2211yescharacteristic, complemented
96C2×#398C2211yescharacteristic, complemented
97C2×#398C2211yescharacteristic, complemented
98C2×#398C2211yescharacteristic, complemented
99C2×#397C2211yescharacteristic, complemented
100C2×#397C2211yescharacteristic, complemented
101C2×#397C2211yescharacteristic, complemented
102C2×#397C2211yescharacteristic, complemented
103C2×#397C2211yescharacteristic, complemented
104C2×#397C2211yescharacteristic, complemented
105C2×#397C2211yescharacteristic, complemented
106C2×#397C2211yescharacteristic, complemented
107C2×#396C2211yescharacteristic, complemented
108C2×#396C2211yescharacteristic, complemented
109C2×#396C2211yescharacteristic, complemented
110C2×#396C2211yescharacteristic, complemented
111C2×#396C2211yescharacteristic, complemented
112C2×#395C2211yescharacteristic, complemented
113C2×#394C2211yescharacteristic
114C2×#394C2211yescharacteristic
115C2×#394C2211yescharacteristic, complemented
116C2×#394C2211yescharacteristic, complemented
117C2×#394C2211yescharacteristic, complemented
118C2×#394C2211yescharacteristic, complemented
119C2×#393C2211yescharacteristic, complemented
120C2×#393C2211yescharacteristic, complemented
121C2×#393C2211yescharacteristic, complemented
122C2×#392C2211yescharacteristic
123C2×#392C2211yescharacteristic
124#2358C22116yescomplemented
125D4×C22⋊C4C22116yescomplemented
126#2325C22116yescomplemented
127#2318C22116yescomplemented
128C2×#390C2211yescharacteristic
129C2×#390C2211yescharacteristic
130C2×#390C2211yescharacteristic, complemented
131C2×#389C2211yescharacteristic, complemented
132C2×#388C2211yescharacteristic, complemented
133C2×#388C2211yescharacteristic, complemented
134C2×#388C2211yescharacteristic, complemented
135C2×#388C2211yescharacteristic, complemented
136C2×#388C2211yescharacteristic, complemented
137C2×#388C2211yescharacteristic, complemented
138C2×#388C2211yescharacteristic, complemented
139C2×#388C2211yescharacteristic, complemented
140C2×#388C2211yescharacteristic, complemented
141C2×#387C2211yescharacteristic, complemented
142C2×#387C2211yescharacteristic, complemented
143C2×#387C2211yescharacteristic, complemented
144C2×#387C2211yescharacteristic, complemented
145C2×#387C2211yescharacteristic, complemented
146C2×#387C2211yescharacteristic, complemented
147C2×#387C2211yescharacteristic, complemented
148C2×#387C2211yescharacteristic, complemented
149C2×#387C2211yescharacteristic, complemented
150C2×#386C2211yescharacteristic
151C2×#386C2211yescharacteristic
152C2×#386C2211yescharacteristic
153C2×#386C2211yescharacteristic
154C2×#386C2211yescharacteristic
155C2×#386C2211yescharacteristic
156C2×#386C2211yescharacteristic
157C2×#386C2211yescharacteristic
158C2×#386C2211yescharacteristic
159C2×#386C2211yescharacteristic
160C2×#386C2211yescharacteristic
161C2×#386C2211yescharacteristic
162C2×#386C2211yescharacteristic
163C2×#386C2211yescharacteristic
164C2×#386C2211yescharacteristic
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C22116yescomplemented
169C2×#386C2211yescharacteristic, complemented
170C2×#386C2211yescharacteristic, complemented
171C2×#386C2211yescharacteristic, complemented
172C2×#386C2211yescharacteristic, complemented
173C2×#386C2211yescharacteristic, complemented
174C2×#386C2211yescharacteristic, complemented
175C2×#385C2211yescharacteristic
176C2×#385C2211yescharacteristic
177C2×#385C2211yescharacteristic
178C2×#385C2211yescharacteristic
179C2×#385C2211yescharacteristic
180C2×#385C2211yescharacteristic
181C2×#385C2211yescharacteristic, complemented
182C2×#385C2211yescharacteristic, complemented
183C2×#385C2211yescharacteristic, complemented
184C2×#385C2211yescharacteristic, complemented
185C2×#385C2211yescharacteristic, complemented
186C2×#385C2211yescharacteristic, complemented
187C2×#385C2211yescharacteristic, complemented
188C2×#385C2211yescharacteristic, complemented
189C2×#385C2211yescharacteristic, complemented
190C2×#385C2211yescharacteristic, complemented
191C2×#383C2211yescharacteristic, complemented
192C2×#382C2211yescharacteristic, complemented
193C2×#381C2211yescharacteristic, complemented
194C2×#381C2211yescharacteristic, complemented
195C2×#381C2211yescharacteristic, complemented
196C2×#380C2211yescharacteristic
197C2×#380C2211yescharacteristic
198C2×#380C2211yescharacteristic
199C2×#380C2211yescharacteristic
200C2×#380C2211yescharacteristic
201C2×#380C2211yescharacteristic
202C2×#380C2211yescharacteristic, complemented
203C2×#380C2211yescharacteristic, complemented
204C2×#380C2211yescharacteristic, complemented
205C2×#380C2211yescharacteristic, complemented
206C2×#380C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic, complemented
208C2×#380C22116yescomplemented
209C2×#379C2211yescharacteristic
210C2×#379C2211yescharacteristic
211C2×#379C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C22×#95C2211yescharacteristic
216C22×#95C2211yescharacteristic
217C22×#95C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4—28no—
223C23×D4—28no—
224C23×D4—44no—
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2318yes—
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C24×C4—28no—
236C24×C4—44no—
237C24×C4—44no—
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2318yes—
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C2×#126—44no—
256C2×#126C2318yescomplemented
257C2×#123—44no—
258C2×#123—44no—
259C2×#123—44no—
260C2×#123—44no—
261C2×#123C2318yescomplemented
262C2×#123C2318yescomplemented
263C2×#123C2318yescomplemented
264C2×#123C2318yescomplemented
265C2×C22⋊Q8—44no—
266C2×C22⋊Q8—44no—
267C2×C22⋊Q8—44no—
268C2×C22⋊Q8C2318yes—
269C2×C22⋊Q8C2318yescomplemented
270C2×C22⋊Q8C2318yescomplemented
271C2×#121—28no—
272C2×#121—44no—
273C2×#121C2318yes—
274C2×#121C2318yes—
275C2×#120—28no—
276C2×#120—44no—
277C2×#120C2318yes—
278C2×#120C2318yes—
279C2×C4×D4—28no—
280C2×C4×D4—44no—
281C2×C4×D4—44no—
282C2×C4×D4—44no—
283C2×C4×D4C2318yes—
284C2×C4×D4C2318yes—
285C2×C4×D4C2318yes—
286C2×C4×D4C2318yescomplemented
287C22×C4⋊C4—44no—
288C22×C4⋊C4—44no—
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⋊C4C2318yescomplemented
318C22×C4⋊C4C2318yescomplemented
319C22×C22⋊C4—44no—
320C22×C22⋊C4—44no—
321C22×C22⋊C4—44no—
322C22×C22⋊C4—44no—
323C22×C22⋊C4—44no—
324C22×C22⋊C4—44no—
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⋊C4C2318yes—
348C22×C22⋊C4C2318yes—
349C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
375C22×C22⋊C4C2318yes—
376C22×C22⋊C4C2318yes—
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386#401C2318yescomplemented
387#400C2318yescomplemented
388#400C2318yescomplemented
389#400C2318yescomplemented
390#400C2318yescomplemented
391#400C2318yescomplemented
392#400C2318yescomplemented
393#400C2318yescomplemented
394#399C2318yescomplemented
395#399C2318yescomplemented
396#399C2318yescomplemented
397#399C2318yescomplemented
398#398C2318yescomplemented
399#398C2318yescomplemented
400#398C2318yescomplemented
401#397C2318yescomplemented
402#397C2318yescomplemented
403#397C2318yescomplemented
404#397C2318yescomplemented
405#397C2318yescomplemented
406#397C2318yescomplemented
407#397C2318yescomplemented
408#397C2318yescomplemented
409#396C2318yescomplemented
410#396C2318yescomplemented
411#396C2318yescomplemented
412#396C2318yescomplemented
413#396C2318yescomplemented
414#395C2318yescomplemented
415#394C2318yes—
416#394C2318yes—
417#394C2318yescomplemented
418#394C2318yescomplemented
419#394C2318yescomplemented
420#394C2318yescomplemented
421#393C2318yescomplemented
422#393C2318yescomplemented
423#393C2318yescomplemented
424#392C2318yes—
425#392C2318yes—
426#390C2318yes—
427#390C2318yes—
428#390C2318yescomplemented
429#389C2318yescomplemented
430#388C2318yescomplemented
431#388C2318yescomplemented
432#388C2318yescomplemented
433#388C2318yescomplemented
434#388C2318yescomplemented
435#388C2318yescomplemented
436#388C2318yescomplemented
437#388C2318yescomplemented
438#388C2318yescomplemented
439#387C2318yescomplemented
440#387C2318yescomplemented
441#387C2318yescomplemented
442#387C2318yescomplemented
443#387C2318yescomplemented
444#387C2318yescomplemented
445#387C2318yescomplemented
446#387C2318yescomplemented
447#387C2318yescomplemented
448#386C2318yes—
449#386C2318yes—
450#386C2318yes—
451#386C2318yes—
452#386C2318yes—
453#386C2318yes—
454#386C2318yes—
455#386C2318yes—
456#386C2318yes—
457#386C2318yes—
458#386C2318yes—
459#386C2318yes—
460#386C2318yes—
461#386C2318yes—
462#386C2318yes—
463#386C2318yes—
464#386C2318yes—
465#386C2318yes—
466#386C2318yescomplemented
467#386C2318yescomplemented
468#386C2318yescomplemented
469#386C2318yescomplemented
470#386C2318yescomplemented
471#386C2318yescomplemented
472#385C2318yes—
473#385C2318yes—
474#385C2318yes—
475#385C2318yes—
476#385C2318yes—
477#385C2318yes—
478#385C2318yescomplemented
479#385C2318yescomplemented
480#385C2318yescomplemented
481#385C2318yescomplemented
482#385C2318yescomplemented
483#385C2318yescomplemented
484#385C2318yescomplemented
485#385C2318yescomplemented
486#385C2318yescomplemented
487#385C2318yescomplemented
488#383C2318yescomplemented
489#382C2318yescomplemented
490#381C2318yescomplemented
491#381C2318yescomplemented
492#381C2318yescomplemented
493#380C2318yes—
494#380C2318yes—
495#380C2318yes—
496#380C2318yes—
497#380C2318yes—
498#380C2318yes—
499#380C2318yescomplemented
500#380C2318yescomplemented
501#380C2318yescomplemented
502#380C2318yescomplemented
503#380C2318yescomplemented
504#380C2318yescomplemented
505#379C2318yes—
506#379C2318yes—
507#379C2318yes—
508C4×C22⋊C4C2318yes—
509C4×C22⋊C4C2318yes—
510C4×C22⋊C4C2318yescomplemented
511C2×#95C2318yes—
512C2×#95C2318yes—
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
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2318yescomplemented
558C2×#95C2318yescomplemented
559C25—24no—
560C25—24no—
561C25—24no—
562C25—24no—
563C25—24no—
564C25—24no—
565C25—24no—
566C25—24no—
567C25—42no—
568C25—42no—
569C25—42no—
570C25—42no—
571C25—42no—
572C25#4118yes—
573C25C2411yescharacteristic
574C25C2411yescharacteristic
575C25C2411yescharacteristic
576C25C2411yescharacteristic
577C25C2414yes—
578C25C2414yes—
579C25C2411yescharacteristic
580C25C2411yescharacteristic
581C22×Q8—42no—
582C22×Q8—42no—
583C22×Q8—42no—
584C22×Q8C2414yes—
585C22×D4—24no—
586C22×D4—24no—
587C22×D4—24no—
588C22×D4—24no—
589C22×D4—24no—
590C22×D4—24no—
591C22×D4—232no—
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—232no—
603C22×D4—24no—
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—416no—
614C22×D4—464no—
615C22×D4#4118yes—
616C22×D4C2414yes—
617C22×D4C2414yes—
618C22×D4C2414yes—
619C22×D4C2414yes—
620C22×D4C2414yes—
621C22×D4C2414yes—
622C22×D4C2414yes—
623C22×D4C2414yes—
624C22×D4C2414yes—
625C23×C4—24no—
626C23×C4—24no—
627C23×C4—24no—
628C23×C4—24no—
629C23×C4—24no—
630C23×C4—24no—
631C23×C4—24no—
632C23×C4—232no—
633C23×C4—24no—
634C23×C4—24no—
635C23×C4—24no—
636C23×C4—24no—
637C23×C4—24no—
638C23×C4—24no—
639C23×C4—24no—
640C23×C4—24no—
641C23×C4—24no—
642C23×C4—24no—
643C23×C4—24no—
644C23×C4—24no—
645C23×C4—24no—
646C23×C4—24no—
647C23×C4—416no—
648C23×C4—416no—
649C23×C4—42no—
650C23×C4—42no—
651C23×C4—42no—
652C23×C4—42no—
653C23×C4—42no—
654C23×C4—42no—
655C23×C4—42no—
656C23×C4—42no—
657C23×C4—42no—
658C23×C4—42no—
659C23×C4—42no—
660C23×C4—42no—
661C23×C4—42no—
662C23×C4—42no—
663C23×C4—42no—
664C23×C4—42no—
665C23×C4—42no—
666C23×C4—42no—
667C23×C4—42no—
668C23×C4—42no—
669C23×C4—42no—
670C23×C4—42no—
671C23×C4—42no—
672C23×C4—42no—
673C23×C4—42no—
674C23×C4—42no—
675C23×C4—42no—
676C23×C4—464no—
677C23×C4C2414yes—
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2411yescharacteristic
690C23×C4C2411yescharacteristic
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2414yes—
701C23×C4C2414yes—
702C23×C4C2414yes—
703C23×C4C2414yes—
704C23×C4C2414yes—
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2414yes—
709C23×C4C2414yes—
710C23×C4C2414yes—
711C23×C4C2414yes—
712C23×C4C2414yes—
713C23×C4C2414yes—
714C23×C4C2414yes—
715C23×C4C2414yes—
716C23×C4C2414yes—
717C23×C4C2414yes—
718#126—416no—
719#123—416no—
720#123—416no—
721#123—416no—
722#123—416no—
723C22⋊Q8—416no—
724C22⋊Q8—416no—
725C22⋊Q8—416no—
726#121—232no—
727#121—416no—
728#120—232no—
729#120—416no—
730C4×D4—232no—
731C4×D4—416no—
732C4×D4—416no—
733C4×D4—416no—
734C2×C4⋊C4—24no—
735C2×C4⋊C4—24no—
736C2×C4⋊C4—24no—
737C2×C4⋊C4—24no—
738C2×C4⋊C4—24no—
739C2×C4⋊C4—24no—
740C2×C4⋊C4—24no—
741C2×C4⋊C4—24no—
742C2×C4⋊C4—416no—
743C2×C4⋊C4—416no—
744C2×C4⋊C4—42no—
745C2×C4⋊C4—42no—
746C2×C4⋊C4—42no—
747C2×C4⋊C4—42no—
748C2×C4⋊C4—42no—
749C2×C4⋊C4—42no—
750C2×C4⋊C4—42no—
751C2×C4⋊C4—42no—
752C2×C4⋊C4—42no—
753C2×C4⋊C4—42no—
754C2×C4⋊C4—42no—
755C2×C4⋊C4—42no—
756C2×C4⋊C4—42no—
757C2×C4⋊C4—42no—
758C2×C4⋊C4—42no—
759C2×C4⋊C4—42no—
760C2×C4⋊C4—42no—
761C2×C4⋊C4—42no—
762C2×C4⋊C4—42no—
763C2×C4⋊C4—42no—
764C2×C4⋊C4C2414yes—
765C2×C4⋊C4C2414yes—
766C2×C4⋊C4C2414yes—
767C2×C4⋊C4C2414yes—
768C2×C4⋊C4C2414yes—
769C2×C4⋊C4C2414yes—
770C2×C4⋊C4C2414yes—
771C2×C4⋊C4C2414yes—
772C2×C4⋊C4C2414yes—
773C2×C4⋊C4C2414yes—
774C2×C4⋊C4C2414yes—
775C2×C4⋊C4C2414yes—
776C2×C4⋊C4C2414yes—
777C2×C4⋊C4C2414yes—
778C2×C4⋊C4C2414yes—
779C2×C4⋊C4C2414yes—
780C2×C4⋊C4C2414yes—
781C2×C4⋊C4C2414yes—
782C2×C4⋊C4C2414yes—
783C2×C4⋊C4C2414yes—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C22⋊C4—24no—
793C2×C22⋊C4—24no—
794C2×C22⋊C4—24no—
795C2×C22⋊C4—24no—
796C2×C22⋊C4—24no—
797C2×C22⋊C4—24no—
798C2×C22⋊C4—24no—
799C2×C22⋊C4—24no—
800C2×C22⋊C4—24no—
801C2×C22⋊C4—24no—
802C2×C22⋊C4—24no—
803C2×C22⋊C4—24no—
804C2×C22⋊C4—24no—
805C2×C22⋊C4—24no—
806C2×C22⋊C4—24no—
807C2×C22⋊C4—24no—
808C2×C22⋊C4—24no—
809C2×C22⋊C4—24no—
810C2×C22⋊C4—24no—
811C2×C22⋊C4—24no—
812C2×C22⋊C4—24no—
813C2×C22⋊C4—24no—
814C2×C22⋊C4—416no—
815C2×C22⋊C4—416no—
816C2×C22⋊C4—416no—
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⋊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×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×C42—24no—
899C2×C42—42no—
900C2×C42—42no—
901C2×C42—42no—
902C2×C42—42no—
903C2×C42C2414yes—
904C2×C42C2414yes—
905C2×C42C2414yes—
906C2×C42C2414yes—
907C2×C42C2414yes—
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—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
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—
952C24—22no—
953C24—22no—
954C24—22no—
955C24—22no—
956C24—22no—
957C24—22no—
958C24—22no—
959C24—22no—
960C24—232no—
961C24—232no—
962C24—28no—
963C24—22no—
964C24—22no—
965C24—22no—
966C24—22no—
967C24—28no—
968C24—22no—
969C24—28no—
970C24—22no—
971C24—22no—
972C24—22no—
973C24—22no—
974C24—22no—
975C24—28no—
976C24—22no—
977C24—22no—
978C24—22no—
979C24—22no—
980C24—28no—
981C24—22no—
982C24—22no—
983C24—22no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—22no—
989C24—22no—
990C24—22no—
991C24—22no—
992C24—22no—
993C24—28no—
994C24—28no—
995C24—28no—
996C24—416no—
997C24—44no—
998C24—44no—
999C24—44no—
1000C24—44no—
1001C24—44no—
1002C24—416no—
1003C24—416no—
1004C24—416no—
1005C24—416no—
1006C24—416no—
1007C24—416no—
1008C24—416no—
1009C24—416no—
1010C24—88no—
1011C24—88no—
1012C24—88no—
1013C24C2×#4114yes—
1014C24C2×#4114yes—
1015C24C2×#41116yes—
1016C24C2×#4114yes—
1017C24C2×#4114yes—
1018C24C2×#4114yes—
1019C24H(5,𝔽2)14yes—
1020C24H(5,𝔽2)14yes—
1021C242−1+414yes—
1022C24C2512yes—
1023C24C2512yes—
1024C24C2512yes—
1025C24C2512yes—
1026C24C2512yes—
1027C24C2512yes—
1028C24C2511yescharacteristic
1029C2×Q8—44no—
1030C2×Q8—44no—
1031C2×Q8—44no—
1032C2×Q8—88no—
1033C2×D4—232no—
1034C2×D4—28no—
1035C2×D4—28no—
1036C2×D4—28no—
1037C2×D4—28no—
1038C2×D4—28no—
1039C2×D4—28no—
1040C2×D4—28no—
1041C2×D4—28no—
1042C2×D4—28no—
1043C2×D4—28no—
1044C2×D4—28no—
1045C2×D4—28no—
1046C2×D4—28no—
1047C2×D4—28no—
1048C2×D4—28no—
1049C2×D4—28no—
1050C2×D4—28no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—416no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—4128no—
1062C2×D4—416no—
1063C2×D4—416no—
1064C2×D4—416no—
1065C2×D4—416no—
1066C2×D4—88no—
1067C2×D4—88no—
1068C2×D4—88no—
1069C2×D4C2×#41116yes—
1070C22×C4—232no—
1071C22×C4—28no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—28no—
1079C22×C4—28no—
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—28no—
1091C22×C4—28no—
1092C22×C4—28no—
1093C22×C4—28no—
1094C22×C4—28no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—28no—
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—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—28no—
1153C22×C4—28no—
1154C22×C4—28no—
1155C22×C4—28no—
1156C22×C4—28no—
1157C22×C4—28no—
1158C22×C4—28no—
1159C22×C4—28no—
1160C22×C4—28no—
1161C22×C4—28no—
1162C22×C4—28no—
1163C22×C4—28no—
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—416no—
1192C22×C4—416no—
1193C22×C4—416no—
1194C22×C4—416no—
1195C22×C4—416no—
1196C22×C4—4128no—
1197C22×C4—416no—
1198C22×C4—88no—
1199C22×C4—88no—
1200C22×C4—88no—
1201C22×C4—88no—
1202C22×C4—88no—
1203C22×C4—88no—
1204C22×C4—88no—
1205C22×C4—88no—
1206C22×C4—88no—
1207C22×C4C2×#4114yes—
1208C22×C4H(5,𝔽2)14yes—
1209C22×C4H(5,𝔽2)14yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C4⋊C4—28no—
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—28no—
1239C4⋊C4—28no—
1240C4⋊C4—28no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—28no—
1266C22⋊C4—28no—
1267C22⋊C4—28no—
1268C22⋊C4—28no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—28no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C42—28no—
1314C42—44no—
1315C42—44no—
1316C42—44no—
1317C42—44no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—28no—
1327C23—28no—
1328C23—28no—
1329C23—28no—
1330C23—28no—
1331C23—28no—
1332C23—28no—
1333C23—28no—
1334C23—28no—
1335C23—28no—
1336C23—28no—
1337C23—28no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—232no—
1351C23—28no—
1352C23—28no—
1353C23—232no—
1354C23—28no—
1355C23—28no—
1356C23—28no—
1357C23—28no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—416no—
1373C23—416no—
1374C23—416no—
1375C23—416no—
1376C23—416no—
1377C23—4128no—
1378C23—416no—
1379C23—416no—
1380C23—416no—
1381C23—44no—
1382C23—44no—
1383C23—44no—
1384C23—44no—
1385C23—44no—
1386C23—44no—
1387C23—44no—
1388C23—44no—
1389C23—44no—
1390C23—416no—
1391C23—44no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—44no—
1400C23—44no—
1401C23—44no—
1402C23—44no—
1403C23—44no—
1404C23—88no—
1405C23—88no—
1406C23—88no—
1407C23—864no—
1408C23#539116yes—
1409C23#551116yes—
1410C23C22×#4114yes—
1411C23C22×#4114yes—
1412C23C22×#4114yes—
1413C23C22×#4114yes—
1414C23C22×#4114yes—
1415C23C22×#4112yes—
1416C23C22×#4112yes—
1417C23C2×H(5,𝔽2)14yes—
1418C23C2×H(5,𝔽2)14yes—
1419C23C2×H(5,𝔽2)12yes—
1420C23C2×H(5,𝔽2)12yes—
1421C23C2×H(5,𝔽2)12yes—
1422C23C2×H(5,𝔽2)12yes—
1423C23C2×2−1+414yes—
1424C23C2×2−1+412yes—
1425C23C2611yescharacteristic
1426Q8—88no—
1427D4—232no—
1428D4—416no—
1429D4—416no—
1430D4—416no—
1431D4—416no—
1432D4—416no—
1433D4—88no—
1434D4—88no—
1435D4—88no—
1436C2×C4—232no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—28no—
1444C2×C4—28no—
1445C2×C4—28no—
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—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—416no—
1513C2×C4—416no—
1514C2×C4—416no—
1515C2×C4—416no—
1516C2×C4—416no—
1517C2×C4—416no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—88no—
1541C2×C4—88no—
1542C2×C4—88no—
1543C2×C4—88no—
1544C2×C4—88no—
1545C2×C4—88no—
1546C2×C4—88no—
1547C2×C4—88no—
1548C2×C4—88no—
1549C2×C4C22×#4114yes—
1550C2×C4C2×H(5,𝔽2)14yes—
1551C2×C4C2×H(5,𝔽2)14yes—
1552C22—24no—
1553C22—24no—
1554C22—24no—
1555C22—24no—
1556C22—24no—
1557C22—24no—
1558C22—24no—
1559C22—24no—
1560C22—24no—
1561C22—24no—
1562C22—232no—
1563C22—232no—
1564C22—24no—
1565C22—24no—
1566C22—24no—
1567C22—24no—
1568C22—24no—
1569C22—24no—
1570C22—24no—
1571C22—24no—
1572C22—464no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—416no—
1581C22—416no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—832no—
1598C22—88no—
1599C22—88no—
1600C22C2×#53918yes—
1601C22C2×#53914yes—
1602C22C2×#55118yes—
1603C22C2×#55114yes—
1604C22#349014yes—
1605C22#351914yes—
1606C22#352014yes—
1607C22#353614yes—
1608C22#353714yes—
1609C22C23×#4111yescharacteristic
1610C22C23×#4111yescharacteristic
1611C22C22×H(5,𝔽2)11yescharacteristic
1612C22C22×H(5,𝔽2)11yescharacteristic
1613C22C22×H(5,𝔽2)11yescharacteristic
1614C22C22×H(5,𝔽2)11yescharacteristic
1615C22C22×2−1+411yescharacteristic
1616C4—24no—
1617C4—24no—
1618C4—24no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C2—28no—
1642C2—28no—
1643C2—44no—
1644C2—44no—
1645C2—82no—
1646C2—82no—
1647C2#3805218yesdirect product factor
1648C2C22×#53911yescharacteristic
1649C2C22×#55111yescharacteristic
1650C2C2×#353611yescharacteristic
1651C2C2×#353711yescharacteristic
1652C2C2×#349011yescharacteristic
1653C2C2×#351911yescharacteristic
1654C2C2×#352011yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2746C2semidirect
2. C2×#2743C2semidirect
3. C2×#2740C2semidirect
4. C2×#2737C2semidirect
5. C2×#2706C2semidirect
6. C2×#2705C2semidirect
7. C2×#2696C2semidirect
8. C2×#2693C2semidirect
9. #38052C2direct (N × H)
10. C2×#2849C2semidirect
11. C2×#2569C2semidirect
12. C2×#2564C2semidirect
13. C2×#2510C2semidirect
14. C2×#2505C2semidirect
15. C2×#2481C2semidirect
16. C2×#2480C2semidirect
17. C2×#2412C2semidirect
18. C2×#2449C2semidirect
19. C2×#2443C2semidirect
20. C2×#2443C2semidirect
21. C2×#2418C2semidirect
22. C2×#2437C2semidirect
23. C2×#2437C2semidirect
25. C2×#2643C2semidirect
26. C2×#2639C2semidirect
27. C2×#2358C2semidirect
28. C2×D4×C22⋊C4C2semidirect
29. C2×#2325C2semidirect
30. C2×#2318C2semidirect
31. C22×#386C2semidirect
32. C22×#380C2semidirect
35. C22×#126C22semidirect
36. C22×#123C22semidirect
37. C22×#123C22semidirect
38. C22×#123C22semidirect
39. C22×#123C22semidirect
41. C22×C22⋊Q8C22semidirect
42. C22×C22⋊Q8C22semidirect
50. C22×C4×D4C22semidirect
51. C23×C4⋊C4C22semidirect
52. C23×C4⋊C4C22semidirect
59. #2849C22semidirect
60. #2746C22semidirect
61. #2743C22semidirect
62. #2740C22semidirect
63. #2737C22semidirect
64. #2706C22semidirect
65. #2705C22semidirect
66. #2696C22semidirect
67. #2693C22semidirect
68. #2643C22semidirect
69. #2639C22semidirect
70. #2569C22semidirect
71. #2564C22semidirect
72. #2510C22semidirect
73. #2505C22semidirect
74. #2481C22semidirect
75. #2480C22semidirect
76. #2449C22semidirect
77. #2443C22semidirect
78. #2443C22semidirect
79. #2437C22semidirect
80. #2437C22semidirect
81. #2418C22semidirect
82. #2412C22semidirect
84. C2×#401C22semidirect
85. C2×#400C22semidirect
86. C2×#400C22semidirect
87. C2×#400C22semidirect
88. C2×#400C22semidirect
89. C2×#400C22semidirect
90. C2×#400C22semidirect
91. C2×#400C22semidirect
92. C2×#399C22semidirect
93. C2×#399C22semidirect
94. C2×#399C22semidirect
95. C2×#399C22semidirect
96. C2×#398C22semidirect
97. C2×#398C22semidirect
98. C2×#398C22semidirect
99. C2×#397C22semidirect
100. C2×#397C22semidirect
101. C2×#397C22semidirect
102. C2×#397C22semidirect
103. C2×#397C22semidirect
104. C2×#397C22semidirect
105. C2×#397C22semidirect
106. C2×#397C22semidirect
107. C2×#396C22semidirect
108. C2×#396C22semidirect
109. C2×#396C22semidirect
110. C2×#396C22semidirect
111. C2×#396C22semidirect
112. C2×#395C22semidirect
115. C2×#394C22semidirect
116. C2×#394C22semidirect
117. C2×#394C22semidirect
118. C2×#394C22semidirect
119. C2×#393C22semidirect
120. C2×#393C22semidirect
121. C2×#393C22semidirect
124. #2358C22semidirect
125. D4×C22⋊C4C22semidirect
126. #2325C22semidirect
127. #2318C22semidirect
130. C2×#390C22semidirect
131. C2×#389C22semidirect
132. C2×#388C22semidirect
133. C2×#388C22semidirect
134. C2×#388C22semidirect
135. C2×#388C22semidirect
136. C2×#388C22semidirect
137. C2×#388C22semidirect
138. C2×#388C22semidirect
139. C2×#388C22semidirect
140. C2×#388C22semidirect
141. C2×#387C22semidirect
142. C2×#387C22semidirect
143. C2×#387C22semidirect
144. C2×#387C22semidirect
145. C2×#387C22semidirect
146. C2×#387C22semidirect
147. C2×#387C22semidirect
148. C2×#387C22semidirect
149. C2×#387C22semidirect
168. C2×#386C22semidirect
169. C2×#386C22semidirect
170. C2×#386C22semidirect
171. C2×#386C22semidirect
172. C2×#386C22semidirect
173. C2×#386C22semidirect
174. C2×#386C22semidirect
181. C2×#385C22semidirect
182. C2×#385C22semidirect
183. C2×#385C22semidirect
184. C2×#385C22semidirect
185. C2×#385C22semidirect
186. C2×#385C22semidirect
187. C2×#385C22semidirect
188. C2×#385C22semidirect
189. C2×#385C22semidirect
190. C2×#385C22semidirect
191. C2×#383C22semidirect
192. C2×#382C22semidirect
193. C2×#381C22semidirect
194. C2×#381C22semidirect
195. C2×#381C22semidirect
202. C2×#380C22semidirect
203. C2×#380C22semidirect
204. C2×#380C22semidirect
205. C2×#380C22semidirect
206. C2×#380C22semidirect
207. C2×#380C22semidirect
208. C2×#380C22semidirect
214. C2×C4×C22⋊C4C22semidirect
217. C22×#95C22semidirect
218. C22×#95C22semidirect
256. C2×#126C23semidirect
261. C2×#123C23semidirect
262. C2×#123C23semidirect
263. C2×#123C23semidirect
264. C2×#123C23semidirect
269. C2×C22⋊Q8C23semidirect
270. C2×C22⋊Q8C23semidirect
286. C2×C4×D4C23semidirect
317. C22×C4⋊C4C23semidirect
318. C22×C4⋊C4C23semidirect
386. #401C23semidirect
387. #400C23semidirect
388. #400C23semidirect
389. #400C23semidirect
390. #400C23semidirect
391. #400C23semidirect
392. #400C23semidirect
393. #400C23semidirect
394. #399C23semidirect
395. #399C23semidirect
396. #399C23semidirect
397. #399C23semidirect
398. #398C23semidirect
399. #398C23semidirect
400. #398C23semidirect
401. #397C23semidirect
402. #397C23semidirect
403. #397C23semidirect
404. #397C23semidirect
405. #397C23semidirect
406. #397C23semidirect
407. #397C23semidirect
408. #397C23semidirect
409. #396C23semidirect
410. #396C23semidirect
411. #396C23semidirect
412. #396C23semidirect
413. #396C23semidirect
414. #395C23semidirect
417. #394C23semidirect
418. #394C23semidirect
419. #394C23semidirect
420. #394C23semidirect
421. #393C23semidirect
422. #393C23semidirect
423. #393C23semidirect
428. #390C23semidirect
429. #389C23semidirect
430. #388C23semidirect
431. #388C23semidirect
432. #388C23semidirect
433. #388C23semidirect
434. #388C23semidirect
435. #388C23semidirect
436. #388C23semidirect
437. #388C23semidirect
438. #388C23semidirect
439. #387C23semidirect
440. #387C23semidirect
441. #387C23semidirect
442. #387C23semidirect
443. #387C23semidirect
444. #387C23semidirect
445. #387C23semidirect
446. #387C23semidirect
447. #387C23semidirect
466. #386C23semidirect
467. #386C23semidirect
468. #386C23semidirect
469. #386C23semidirect
470. #386C23semidirect
471. #386C23semidirect
478. #385C23semidirect
479. #385C23semidirect
480. #385C23semidirect
481. #385C23semidirect
482. #385C23semidirect
483. #385C23semidirect
484. #385C23semidirect
485. #385C23semidirect
486. #385C23semidirect
487. #385C23semidirect
488. #383C23semidirect
489. #382C23semidirect
490. #381C23semidirect
491. #381C23semidirect
492. #381C23semidirect
499. #380C23semidirect
500. #380C23semidirect
501. #380C23semidirect
502. #380C23semidirect
503. #380C23semidirect
504. #380C23semidirect
510. C4×C22⋊C4C23semidirect
557. C2×#95C23semidirect
558. C2×#95C23semidirect
1647. C2#38052direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27462
C2×#27432
C2×#27402
C2×#27372
C2×#27062
C2×#27052
C2×#26962
C2×#26932
#380522
C2×#28492
C2×#25692
C2×#25642
C2×#25102
C2×#25052
C2×#24812
C2×#24802
C2×#24122
C2×#24492
C2×#24432
C2×#24182
C2×#24372
C2×#24102
C2×#26432
C2×#26392
C2×#23582
C2×D4×C22⋊C42
C2×#23252
C2×#23182
C22×#3862
C22×#3802