Finite Group Databasebeta

← C2×#47079 #7701049

Subgroups — C2×#47079 #7701049

Order 512.

7262 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2803C211yesmaximal, characteristic, complemented
2C2×#2795C211yesmaximal, characteristic, complemented
3C2×#2788C211yesmaximal, characteristic, complemented
4C2×#2786C211yesmaximal, characteristic, complemented
5C2×#2736C211yesmaximal, characteristic, complemented
6C2×#2712C211yesmaximal, characteristic, complemented
7C2×#2703C211yesmaximal, characteristic, complemented
8C2×#2701C211yesmaximal, characteristic, complemented
9C2×#2697C211yesmaximal, characteristic, complemented
10C2×#2686C211yesmaximal, characteristic, complemented
11C2×#2670C211yesmaximal, characteristic, complemented
12C2×#2670C211yesmaximal, characteristic, complemented
13#47079C2132yesmaximal, direct product factor
14C2×#2828C211yesmaximal, characteristic, complemented
15C2×#2600C211yesmaximal, characteristic, complemented
16C2×#2610C211yesmaximal, characteristic, complemented
17C2×#2557C211yesmaximal, characteristic, complemented
18C2×#2531C211yesmaximal, characteristic, complemented
19C2×#2411C211yesmaximal, characteristic, complemented
20C2×#2477C211yesmaximal, characteristic, complemented
21C2×#2426C211yesmaximal, characteristic, complemented
22C2×#2458C211yesmaximal, characteristic, complemented
23C2×#2422C211yesmaximal, characteristic, complemented
24C2×#2464C211yesmaximal, characteristic, complemented
25C2×#2408C211yesmaximal, characteristic, complemented
26C2×#2472C211yesmaximal, characteristic, complemented
27C2×#2405C211yesmaximal, characteristic, complemented
28C2×#2456C211yesmaximal, characteristic, complemented
29C2×#2410C211yesmaximal, characteristic, complemented
30C2×#2326C211yesmaximal, characteristic, complemented
31C2×#2321C211yesmaximal, characteristic, complemented
32C2×#2312C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C22×#124C2211yescharacteristic
35C22×#124C2211yescharacteristic, complemented
36C22×#124C2211yescharacteristic, complemented
37C22×#124C2211yescharacteristic, complemented
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic, complemented
41C22×#123C2211yescharacteristic, complemented
42C22×C22⋊Q8C2211yescharacteristic, complemented
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic
47C22×#120C2211yescharacteristic
48C22×#120C2211yescharacteristic
49C22×#120C2211yescharacteristic
50C22×#120C2211yescharacteristic
51C22×C4×Q8C2211yescharacteristic, complemented
52C22×C4×D4C2211yescharacteristic
53C22×C4×D4C2211yescharacteristic, complemented
54C22×C4×D4C2211yescharacteristic, complemented
55C22×#117C2211yescharacteristic, complemented
56C23×C22⋊C4C2211yescharacteristic
57C23×C22⋊C4C2211yescharacteristic
58#2828C22116yescomplemented
59#2803C22116yescomplemented
60#2795C22116yescomplemented
61#2788C22116yescomplemented
62#2786C22116yescomplemented
63#2736C22116yescomplemented
64#2712C22116yescomplemented
65#2703C22116yescomplemented
66#2701C22116yescomplemented
67#2697C22116yescomplemented
68#2686C22116yescomplemented
69#2670C22116yescomplemented
70#2670C22116yescomplemented
71#2610C22116yescomplemented
72#2600C22116yescomplemented
73#2557C22116yescomplemented
74#2531C22116yescomplemented
75#2477C22116yescomplemented
76#2472C22116yescomplemented
77#2464C22116yescomplemented
78#2458C22116yescomplemented
79#2456C22116yescomplemented
80#2426C22116yescomplemented
81#2422C22116yescomplemented
82#2411C22116yescomplemented
83#2410C22116yescomplemented
84#2408C22116yescomplemented
85#2405C22116yescomplemented
86C2×#400C2211yescharacteristic, complemented
87C2×#400C2211yescharacteristic, complemented
88C2×#398C2211yescharacteristic, complemented
89C2×#398C2211yescharacteristic, complemented
90C2×#397C2211yescharacteristic
91C2×#397C2211yescharacteristic, complemented
92C2×#397C2211yescharacteristic, complemented
93C2×#397C2211yescharacteristic, complemented
94C2×#397C2211yescharacteristic, complemented
95C2×#397C2211yescharacteristic, complemented
96C2×#397C2211yescharacteristic, complemented
97C2×#397C2211yescharacteristic, complemented
98C2×#396C2211yescharacteristic
99C2×#396C2211yescharacteristic, complemented
100C2×#396C2211yescharacteristic, complemented
101C2×#396C2211yescharacteristic, complemented
102C2×#395C2211yescharacteristic, complemented
103C2×#394C2211yescharacteristic
104C2×#394C2211yescharacteristic
105C2×#394C2211yescharacteristic
106C2×#394C2211yescharacteristic
107C2×#394C2211yescharacteristic
108C2×#394C2211yescharacteristic
109C2×#394C2211yescharacteristic
110C2×#394C2211yescharacteristic
111C2×#394C2211yescharacteristic
112C2×#394C2211yescharacteristic
113C2×#394C2211yescharacteristic, complemented
114C2×#394C2211yescharacteristic, complemented
115C2×#394C2211yescharacteristic, complemented
116C2×#394C2211yescharacteristic, complemented
117C2×#394C2211yescharacteristic, complemented
118C2×#394C2211yescharacteristic, complemented
119C2×#394C2211yescharacteristic, complemented
120C2×#393C2211yescharacteristic
121C2×#393C2211yescharacteristic, complemented
122C2×#393C2211yescharacteristic, complemented
123C2×#393C2211yescharacteristic, complemented
124C2×#393C2211yescharacteristic, complemented
125C2×#392C2211yescharacteristic
126C2×#392C2211yescharacteristic
127C2×#392C2211yescharacteristic
128C2×#392C2211yescharacteristic
129C2×#392C2211yescharacteristic
130C2×#392C2211yescharacteristic, complemented
131C2×#392C2211yescharacteristic, complemented
132C2×#392C2211yescharacteristic, complemented
133C2×#392C2211yescharacteristic, complemented
134#2326C22116yescomplemented
135#2321C22116yescomplemented
136#2312C22116yescomplemented
137C2×#391C2211yescharacteristic, complemented
138C2×#391C2211yescharacteristic, complemented
139C2×#390C2211yescharacteristic
140C2×#390C2211yescharacteristic
141C2×#390C2211yescharacteristic
142C2×#390C2211yescharacteristic
143C2×#390C2211yescharacteristic, complemented
144C2×#390C2211yescharacteristic, complemented
145C2×#390C2211yescharacteristic, complemented
146C2×#390C2211yescharacteristic, complemented
147C2×#390C2211yescharacteristic, complemented
148C2×#390C2211yescharacteristic, complemented
149C2×#389C2211yescharacteristic, complemented
150C2×#389C2211yescharacteristic, complemented
151C2×#388C2211yescharacteristic
152C2×#388C2211yescharacteristic
153C2×#388C2211yescharacteristic
154C2×#388C2211yescharacteristic
155C2×#388C2211yescharacteristic
156C2×#388C2211yescharacteristic
157C2×#388C2211yescharacteristic, complemented
158C2×#388C2211yescharacteristic, complemented
159C2×#388C2211yescharacteristic, complemented
160C2×#388C2211yescharacteristic, complemented
161C2×#388C2211yescharacteristic, complemented
162C2×#388C2211yescharacteristic, complemented
163C2×#388C2211yescharacteristic, complemented
164C2×#388C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic, complemented
166C2×#388C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic, complemented
168C2×#388C2211yescharacteristic, complemented
169C2×#388C2211yescharacteristic, complemented
170C2×#388C2211yescharacteristic, complemented
171C2×#388C2211yescharacteristic, complemented
172C2×#388C2211yescharacteristic, complemented
173C2×#388C2211yescharacteristic, complemented
174C2×#388C2211yescharacteristic, complemented
175C2×#388C2211yescharacteristic, complemented
176C2×#388C2211yescharacteristic, complemented
177C2×#387C2211yescharacteristic, complemented
178C2×#387C2211yescharacteristic, complemented
179C2×#387C2211yescharacteristic, complemented
180C2×#387C2211yescharacteristic, complemented
181C2×#387C2211yescharacteristic, complemented
182C2×#387C2211yescharacteristic, complemented
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic, complemented
191C2×#386C2211yescharacteristic, complemented
192C2×#386C2211yescharacteristic, complemented
193C2×#386C2211yescharacteristic, complemented
194C2×#386C2211yescharacteristic, complemented
195C2×#385C2211yescharacteristic
196C2×#385C2211yescharacteristic
197C2×#385C2211yescharacteristic
198C2×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#384C2211yescharacteristic, complemented
204C2×#381C2211yescharacteristic, complemented
205C2×#380C2211yescharacteristic
206C2×#380C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic, complemented
208C2×#379C2211yescharacteristic
209C2×#379C2211yescharacteristic
210C2×#379C2211yescharacteristic
211C2×#379C2211yescharacteristic
212C2×#379C2211yescharacteristic
213C2×#379C2211yescharacteristic
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×#376C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4—44no—
224C23×D4—44no—
225C23×D4—44no—
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2318yes—
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C2×#124—28no—
250C2×#124—44no—
251C2×#124—44no—
252C2×#124—44no—
253C2×#124C2318yes—
254C2×#124C2318yescomplemented
255C2×#124C2318yescomplemented
256C2×#124C2318yescomplemented
257C2×#123—44no—
258C2×#123—44no—
259C2×#123—44no—
260C2×#123—44no—
261C2×#123C2318yes—
262C2×#123C2318yes—
263C2×#123C2318yescomplemented
264C2×#123C2318yescomplemented
265C2×C22⋊Q8—44no—
266C2×C22⋊Q8C2318yescomplemented
267C2×#121—44no—
268C2×#121—44no—
269C2×#121—44no—
270C2×#121—44no—
271C2×#121C2318yes—
272C2×#121C2318yes—
273C2×#121C2318yes—
274C2×#121C2318yes—
275C2×#120—28no—
276C2×#120—44no—
277C2×#120—44no—
278C2×#120—44no—
279C2×#120C2318yes—
280C2×#120C2318yes—
281C2×#120C2318yes—
282C2×#120C2318yes—
283C2×C4×Q8—44no—
284C2×C4×Q8C2318yescomplemented
285C2×C4×D4—44no—
286C2×C4×D4—44no—
287C2×C4×D4—44no—
288C2×C4×D4C2318yes—
289C2×C4×D4C2318yescomplemented
290C2×C4×D4C2318yescomplemented
291C2×#117—44no—
292C2×#117C2318yescomplemented
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×C22⋊C4—28no—
317C22×C22⋊C4—44no—
318C22×C22⋊C4C2318yes—
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2318yes—
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×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392#400C2318yescomplemented
393#400C2318yescomplemented
394#398C2318yescomplemented
395#398C2318yescomplemented
396#397C2318yes—
397#397C2318yescomplemented
398#397C2318yescomplemented
399#397C2318yescomplemented
400#397C2318yescomplemented
401#397C2318yescomplemented
402#397C2318yescomplemented
403#397C2318yescomplemented
404#396C2318yes—
405#396C2318yescomplemented
406#396C2318yescomplemented
407#396C2318yescomplemented
408#395C2318yescomplemented
409#394C2318yes—
410#394C2318yes—
411#394C2318yes—
412#394C2318yes—
413#394C2318yes—
414#394C2318yes—
415#394C2318yes—
416#394C2318yes—
417#394C2318yes—
418#394C2318yes—
419#394C2318yescomplemented
420#394C2318yescomplemented
421#394C2318yescomplemented
422#394C2318yescomplemented
423#394C2318yescomplemented
424#394C2318yescomplemented
425#394C2318yescomplemented
426#393C2318yes—
427#393C2318yescomplemented
428#393C2318yescomplemented
429#393C2318yescomplemented
430#393C2318yescomplemented
431#392C2318yes—
432#392C2318yes—
433#392C2318yes—
434#392C2318yes—
435#392C2318yes—
436#392C2318yescomplemented
437#392C2318yescomplemented
438#392C2318yescomplemented
439#392C2318yescomplemented
440#391C2318yescomplemented
441#391C2318yescomplemented
442#390C2318yes—
443#390C2318yes—
444#390C2318yes—
445#390C2318yes—
446#390C2318yescomplemented
447#390C2318yescomplemented
448#390C2318yescomplemented
449#390C2318yescomplemented
450#390C2318yescomplemented
451#390C2318yescomplemented
452#389C2318yescomplemented
453#389C2318yescomplemented
454#388C2318yes—
455#388C2318yes—
456#388C2318yes—
457#388C2318yes—
458#388C2318yes—
459#388C2318yes—
460#388C2318yescomplemented
461#388C2318yescomplemented
462#388C2318yescomplemented
463#388C2318yescomplemented
464#388C2318yescomplemented
465#388C2318yescomplemented
466#388C2318yescomplemented
467#388C2318yescomplemented
468#388C2318yescomplemented
469#388C2318yescomplemented
470#388C2318yescomplemented
471#388C2318yescomplemented
472#388C2318yescomplemented
473#388C2318yescomplemented
474#388C2318yescomplemented
475#388C2318yescomplemented
476#388C2318yescomplemented
477#388C2318yescomplemented
478#388C2318yescomplemented
479#388C2318yescomplemented
480#387C2318yescomplemented
481#387C2318yescomplemented
482#387C2318yescomplemented
483#387C2318yescomplemented
484#387C2318yescomplemented
485#387C2318yescomplemented
486#386C2318yes—
487#386C2318yes—
488#386C2318yes—
489#386C2318yes—
490#386C2318yes—
491#386C2318yes—
492#386C2318yescomplemented
493#386C2318yescomplemented
494#386C2318yescomplemented
495#386C2318yescomplemented
496#386C2318yescomplemented
497#386C2318yescomplemented
498#385C2318yes—
499#385C2318yes—
500#385C2318yes—
501#385C2318yescomplemented
502#385C2318yescomplemented
503#385C2318yescomplemented
504#385C2318yescomplemented
505#385C2318yescomplemented
506#384C2318yescomplemented
507#381C2318yescomplemented
508#380C2318yes—
509#380C2318yescomplemented
510#380C2318yescomplemented
511#379C2318yes—
512#379C2318yes—
513#379C2318yes—
514#379C2318yes—
515#379C2318yes—
516#379C2318yes—
517C4×C22⋊C4C2318yescomplemented
518C4×C22⋊C4C2318yescomplemented
519C4×C22⋊C4C2318yescomplemented
520C4×C22⋊C4C2318yescomplemented
521#376C2318yescomplemented
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
556C25—24no—
557C25—24no—
558C25—24no—
559C25—24no—
560C25—42no—
561C25—42no—
562C25—42no—
563C25—42no—
564C25—42no—
565C25—42no—
566C25—42no—
567C25—42no—
568C25—42no—
569C25—42no—
570C25C2411yescharacteristic
571C25C2411yescharacteristic
572C25C2411yescharacteristic
573C25C2411yescharacteristic
574C25C2411yescharacteristic
575C25C2411yescharacteristic
576C25C2411yescharacteristic
577C25C2414yes—
578C25C2414yes—
579C22×Q8—24no—
580C22×Q8—24no—
581C22×Q8—42no—
582C22×Q8—42no—
583C22×Q8—42no—
584C22×Q8—42no—
585C22×Q8C2414yes—
586C22×Q8C2414yes—
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—416no—
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—416no—
634C22×D4—416no—
635C22×D4—464no—
636C22×D4C2414yes—
637C22×D4C2414yes—
638C22×D4C2414yes—
639C22×D4C2414yes—
640C22×D4C2414yes—
641C22×D4C2414yes—
642C22×D4C2414yes—
643C22×D4C2414yes—
644C22×D4C2414yes—
645C22×D4C2414yes—
646C22×D4C2414yes—
647C22×D4C2414yes—
648C22×D4C2414yes—
649C22×D4C2414yes—
650C22×D4C2414yes—
651C23×C4—24no—
652C23×C4—24no—
653C23×C4—24no—
654C23×C4—24no—
655C23×C4—24no—
656C23×C4—24no—
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×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
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×C4C2414yes—
697C23×C4C2414yes—
698C23×C4C2414yes—
699C23×C4C2414yes—
700C23×C4C2414yes—
701C23×C4C2414yes—
702C23×C4C2414yes—
703#124—232no—
704#124—416no—
705#124—416no—
706#124—416no—
707#123—416no—
708#123—416no—
709#123—416no—
710#123—416no—
711C22⋊Q8—416no—
712#121—416no—
713#121—416no—
714#121—416no—
715#121—416no—
716#120—232no—
717#120—416no—
718#120—416no—
719#120—416no—
720C4×Q8—416no—
721C4×D4—416no—
722C4×D4—416no—
723C4×D4—416no—
724#117—416no—
725C2×C4⋊C4—24no—
726C2×C4⋊C4—24no—
727C2×C4⋊C4—24no—
728C2×C4⋊C4—24no—
729C2×C4⋊C4—42no—
730C2×C4⋊C4—42no—
731C2×C4⋊C4—42no—
732C2×C4⋊C4—42no—
733C2×C4⋊C4—42no—
734C2×C4⋊C4—42no—
735C2×C4⋊C4—42no—
736C2×C4⋊C4—42no—
737C2×C4⋊C4—42no—
738C2×C4⋊C4—42no—
739C2×C4⋊C4—42no—
740C2×C4⋊C4—42no—
741C2×C4⋊C4—42no—
742C2×C4⋊C4—42no—
743C2×C4⋊C4—42no—
744C2×C4⋊C4—42no—
745C2×C4⋊C4—42no—
746C2×C4⋊C4—42no—
747C2×C4⋊C4—42no—
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×C4⋊C4C2414yes—
766C2×C4⋊C4C2414yes—
767C2×C4⋊C4C2414yes—
768C2×C4⋊C4C2414yes—
769C2×C4⋊C4C2414yes—
770C2×C4⋊C4C2414yes—
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—24no—
780C2×C22⋊C4—24no—
781C2×C22⋊C4—24no—
782C2×C22⋊C4—24no—
783C2×C22⋊C4—24no—
784C2×C22⋊C4—24no—
785C2×C22⋊C4—24no—
786C2×C22⋊C4—24no—
787C2×C22⋊C4—24no—
788C2×C22⋊C4—24no—
789C2×C22⋊C4—24no—
790C2×C22⋊C4—24no—
791C2×C22⋊C4—232no—
792C2×C22⋊C4—42no—
793C2×C22⋊C4—42no—
794C2×C22⋊C4—42no—
795C2×C22⋊C4—42no—
796C2×C22⋊C4—416no—
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⋊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#4118yes—
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×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×C42—24no—
898C2×C42—24no—
899C2×C42—24no—
900C2×C42—42no—
901C2×C42—42no—
902C2×C42—42no—
903C2×C42—42no—
904C2×C42—42no—
905C2×C42—42no—
906C2×C42—42no—
907C2×C42C2414yes—
908C2×C42C2414yes—
909C2×C42C2414yes—
910C2×C42C2414yes—
911C2×C42C2414yes—
912C2×C42C2414yes—
913C2×C42C2414yes—
914C2×C42C2414yes—
915C2×C42C2414yes—
916C2×C42C2414yes—
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—
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—22no—
971C24—22no—
972C24—22no—
973C24—22no—
974C24—22no—
975C24—22no—
976C24—22no—
977C24—22no—
978C24—22no—
979C24—22no—
980C24—22no—
981C24—22no—
982C24—22no—
983C24—22no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—22no—
989C24—22no—
990C24—22no—
991C24—22no—
992C24—22no—
993C24—22no—
994C24—22no—
995C24—22no—
996C24—22no—
997C24—28no—
998C24—28no—
999C24—28no—
1000C24—28no—
1001C24—44no—
1002C24—44no—
1003C24—44no—
1004C24—44no—
1005C24—44no—
1006C24—44no—
1007C24—44no—
1008C24—44no—
1009C24—44no—
1010C24—44no—
1011C24—416no—
1012C24—416no—
1013C24—416no—
1014C24—416no—
1015C24—88no—
1016C24—88no—
1017C24—88no—
1018C24—88no—
1019C24—88no—
1020C24—88no—
1021C24—88no—
1022C24—88no—
1023C24—88no—
1024C24—88no—
1025C24C2×#4114yes—
1026C24H(5,𝔽2)14yes—
1027C24H(5,𝔽2)14yes—
1028C24C2512yes—
1029C24C2512yes—
1030C24C2512yes—
1031C24C2512yes—
1032C24C2512yes—
1033C24C2512yes—
1034C24C2512yes—
1035C24C2511yescharacteristic
1036C2×Q8—28no—
1037C2×Q8—28no—
1038C2×Q8—44no—
1039C2×Q8—44no—
1040C2×Q8—44no—
1041C2×Q8—44no—
1042C2×Q8—416no—
1043C2×Q8—88no—
1044C2×D4—28no—
1045C2×D4—28no—
1046C2×D4—28no—
1047C2×D4—28no—
1048C2×D4—28no—
1049C2×D4—28no—
1050C2×D4—28no—
1051C2×D4—28no—
1052C2×D4—28no—
1053C2×D4—28no—
1054C2×D4—28no—
1055C2×D4—28no—
1056C2×D4—28no—
1057C2×D4—28no—
1058C2×D4—28no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—416no—
1071C2×D4—416no—
1072C2×D4—416no—
1073C2×D4—416no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
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—416no—
1094C2×D4—416no—
1095C2×D4—4128no—
1096C2×D4—416no—
1097C2×D4—88no—
1098C2×D4—88no—
1099C2×D4—88no—
1100C2×D4—88no—
1101C2×D4—88no—
1102C2×D4—88no—
1103C2×D4—88no—
1104C2×D4—88no—
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—22no—
1153C22×C4—28no—
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—28no—
1175C22×C4—28no—
1176C22×C4—28no—
1177C22×C4—28no—
1178C22×C4—28no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—416no—
1195C22×C4—416no—
1196C22×C4—88no—
1197C22×C4—88no—
1198C22×C4—88no—
1199C22×C4—88no—
1200C22×C4—88no—
1201C22×C4C2×#4114yes—
1202C22×C4C2×#4114yes—
1203C22×C4H(5,𝔽2)14yes—
1204C22×C4H(5,𝔽2)14yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
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—
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
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—
1252C22⋊C4—28no—
1253C22⋊C4—28no—
1254C22⋊C4—28no—
1255C22⋊C4—28no—
1256C22⋊C4—28no—
1257C22⋊C4—28no—
1258C22⋊C4—28no—
1259C22⋊C4—28no—
1260C22⋊C4—28no—
1261C22⋊C4—28no—
1262C22⋊C4—28no—
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—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
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—
1313C22⋊C4C2×#41116yes—
1314C42—28no—
1315C42—28no—
1316C42—28no—
1317C42—44no—
1318C42—44no—
1319C42—44no—
1320C42—44no—
1321C42—44no—
1322C42—44no—
1323C42—44no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—28no—
1343C23—28no—
1344C23—28no—
1345C23—28no—
1346C23—28no—
1347C23—28no—
1348C23—28no—
1349C23—28no—
1350C23—28no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
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—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—416no—
1380C23—416no—
1381C23—416no—
1382C23—416no—
1383C23—44no—
1384C23—44no—
1385C23—44no—
1386C23—44no—
1387C23—44no—
1388C23—44no—
1389C23—44no—
1390C23—44no—
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—44no—
1405C23—44no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—88no—
1424C23—88no—
1425C23—88no—
1426C23—88no—
1427C23—88no—
1428C23—88no—
1429C23—88no—
1430C23—88no—
1431C23—88no—
1432C23—88no—
1433C23—864no—
1434C23—864no—
1435C23C22×#4114yes—
1436C23C22×#4112yes—
1437C23C2×H(5,𝔽2)14yes—
1438C23C2×H(5,𝔽2)14yes—
1439C23C2×H(5,𝔽2)12yes—
1440C23C2×H(5,𝔽2)12yes—
1441C23C2×H(5,𝔽2)12yes—
1442C23C2×H(5,𝔽2)12yes—
1443C23#58512yes—
1444C23#58512yes—
1445C23C2611yescharacteristic
1446Q8—416no—
1447Q8—88no—
1448D4—416no—
1449D4—416no—
1450D4—416no—
1451D4—416no—
1452D4—416no—
1453D4—416no—
1454D4—416no—
1455D4—88no—
1456D4—88no—
1457D4—88no—
1458D4—88no—
1459D4—88no—
1460D4—88no—
1461D4—88no—
1462D4—88no—
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—28no—
1472C2×C4—28no—
1473C2×C4—28no—
1474C2×C4—28no—
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—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—416no—
1536C2×C4—416no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—44no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—44no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—44no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—88no—
1558C2×C4—88no—
1559C2×C4—88no—
1560C2×C4—88no—
1561C2×C4—88no—
1562C2×C4C22×#4114yes—
1563C2×C4C22×#4114yes—
1564C2×C4C2×H(5,𝔽2)14yes—
1565C2×C4C2×H(5,𝔽2)14yes—
1566C22—24no—
1567C22—24no—
1568C22—24no—
1569C22—24no—
1570C22—24no—
1571C22—24no—
1572C22—24no—
1573C22—24no—
1574C22—24no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—416no—
1585C22—416no—
1586C22—416no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—832no—
1619C22—832no—
1620C22—88no—
1621C22—88no—
1622C22—88no—
1623C22—88no—
1624C22#349414yes—
1625C22#351314yes—
1626C22#351914yes—
1627C22#353214yes—
1628C22#354014yes—
1629C22#354214yes—
1630C22#355814yes—
1631C22C23×#4111yescharacteristic
1632C22C22×H(5,𝔽2)11yescharacteristic
1633C22C22×H(5,𝔽2)11yescharacteristic
1634C22C22×H(5,𝔽2)11yescharacteristic
1635C22C22×H(5,𝔽2)11yescharacteristic
1636C22C2×#58511yescharacteristic
1637C22C2×#58511yescharacteristic
1638C4—24no—
1639C4—24no—
1640C4—24no—
1641C4—24no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C2—44no—
1663C2—44no—
1664C2—44no—
1665C2—82no—
1666C2—82no—
1667C2—82no—
1668C2—82no—
1669C2#4707918yesdirect product factor
1670C2C2×#353211yescharacteristic
1671C2C2×#354211yescharacteristic
1672C2C2×#354011yescharacteristic
1673C2C2×#355811yescharacteristic
1674C2C2×#351311yescharacteristic
1675C2C2×#351911yescharacteristic
1676C2C2×#349411yescharacteristic
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. C2×#2803C2semidirect
2. C2×#2795C2semidirect
3. C2×#2788C2semidirect
4. C2×#2786C2semidirect
5. C2×#2736C2semidirect
6. C2×#2712C2semidirect
7. C2×#2703C2semidirect
8. C2×#2701C2semidirect
9. C2×#2697C2semidirect
10. C2×#2686C2semidirect
11. C2×#2670C2semidirect
12. C2×#2670C2semidirect
13. #47079C2direct (N × H)
14. C2×#2828C2semidirect
15. C2×#2600C2semidirect
16. C2×#2610C2semidirect
17. C2×#2557C2semidirect
18. C2×#2531C2semidirect
19. C2×#2411C2semidirect
20. C2×#2477C2semidirect
21. C2×#2426C2semidirect
22. C2×#2458C2semidirect
23. C2×#2422C2semidirect
24. C2×#2464C2semidirect
25. C2×#2408C2semidirect
26. C2×#2472C2semidirect
27. C2×#2405C2semidirect
28. C2×#2456C2semidirect
29. C2×#2410C2semidirect
30. C2×#2326C2semidirect
31. C2×#2321C2semidirect
32. C2×#2312C2semidirect
35. C22×#124C22semidirect
36. C22×#124C22semidirect
37. C22×#124C22semidirect
40. C22×#123C22semidirect
41. C22×#123C22semidirect
42. C22×C22⋊Q8C22semidirect
51. C22×C4×Q8C22semidirect
53. C22×C4×D4C22semidirect
54. C22×C4×D4C22semidirect
55. C22×#117C22semidirect
58. #2828C22semidirect
59. #2803C22semidirect
60. #2795C22semidirect
61. #2788C22semidirect
62. #2786C22semidirect
63. #2736C22semidirect
64. #2712C22semidirect
65. #2703C22semidirect
66. #2701C22semidirect
67. #2697C22semidirect
68. #2686C22semidirect
69. #2670C22semidirect
70. #2670C22semidirect
71. #2610C22semidirect
72. #2600C22semidirect
73. #2557C22semidirect
74. #2531C22semidirect
75. #2477C22semidirect
76. #2472C22semidirect
77. #2464C22semidirect
78. #2458C22semidirect
79. #2456C22semidirect
80. #2426C22semidirect
81. #2422C22semidirect
82. #2411C22semidirect
83. #2410C22semidirect
84. #2408C22semidirect
85. #2405C22semidirect
86. C2×#400C22semidirect
87. C2×#400C22semidirect
88. C2×#398C22semidirect
89. C2×#398C22semidirect
91. C2×#397C22semidirect
92. C2×#397C22semidirect
93. C2×#397C22semidirect
94. C2×#397C22semidirect
95. C2×#397C22semidirect
96. C2×#397C22semidirect
97. C2×#397C22semidirect
99. C2×#396C22semidirect
100. C2×#396C22semidirect
101. C2×#396C22semidirect
102. C2×#395C22semidirect
113. C2×#394C22semidirect
114. C2×#394C22semidirect
115. C2×#394C22semidirect
116. C2×#394C22semidirect
117. C2×#394C22semidirect
118. C2×#394C22semidirect
119. C2×#394C22semidirect
121. C2×#393C22semidirect
122. C2×#393C22semidirect
123. C2×#393C22semidirect
124. C2×#393C22semidirect
130. C2×#392C22semidirect
131. C2×#392C22semidirect
132. C2×#392C22semidirect
133. C2×#392C22semidirect
134. #2326C22semidirect
135. #2321C22semidirect
136. #2312C22semidirect
137. C2×#391C22semidirect
138. C2×#391C22semidirect
143. C2×#390C22semidirect
144. C2×#390C22semidirect
145. C2×#390C22semidirect
146. C2×#390C22semidirect
147. C2×#390C22semidirect
148. C2×#390C22semidirect
149. C2×#389C22semidirect
150. C2×#389C22semidirect
157. C2×#388C22semidirect
158. C2×#388C22semidirect
159. C2×#388C22semidirect
160. C2×#388C22semidirect
161. C2×#388C22semidirect
162. C2×#388C22semidirect
163. C2×#388C22semidirect
164. C2×#388C22semidirect
165. C2×#388C22semidirect
166. C2×#388C22semidirect
167. C2×#388C22semidirect
168. C2×#388C22semidirect
169. C2×#388C22semidirect
170. C2×#388C22semidirect
171. C2×#388C22semidirect
172. C2×#388C22semidirect
173. C2×#388C22semidirect
174. C2×#388C22semidirect
175. C2×#388C22semidirect
176. C2×#388C22semidirect
177. C2×#387C22semidirect
178. C2×#387C22semidirect
179. C2×#387C22semidirect
180. C2×#387C22semidirect
181. C2×#387C22semidirect
182. C2×#387C22semidirect
189. C2×#386C22semidirect
190. C2×#386C22semidirect
191. C2×#386C22semidirect
192. C2×#386C22semidirect
193. C2×#386C22semidirect
194. C2×#386C22semidirect
198. C2×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#384C22semidirect
204. C2×#381C22semidirect
206. C2×#380C22semidirect
207. C2×#380C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×#376C22semidirect
254. C2×#124C23semidirect
255. C2×#124C23semidirect
256. C2×#124C23semidirect
263. C2×#123C23semidirect
264. C2×#123C23semidirect
266. C2×C22⋊Q8C23semidirect
284. C2×C4×Q8C23semidirect
289. C2×C4×D4C23semidirect
290. C2×C4×D4C23semidirect
292. C2×#117C23semidirect
392. #400C23semidirect
393. #400C23semidirect
394. #398C23semidirect
395. #398C23semidirect
397. #397C23semidirect
398. #397C23semidirect
399. #397C23semidirect
400. #397C23semidirect
401. #397C23semidirect
402. #397C23semidirect
403. #397C23semidirect
405. #396C23semidirect
406. #396C23semidirect
407. #396C23semidirect
408. #395C23semidirect
419. #394C23semidirect
420. #394C23semidirect
421. #394C23semidirect
422. #394C23semidirect
423. #394C23semidirect
424. #394C23semidirect
425. #394C23semidirect
427. #393C23semidirect
428. #393C23semidirect
429. #393C23semidirect
430. #393C23semidirect
436. #392C23semidirect
437. #392C23semidirect
438. #392C23semidirect
439. #392C23semidirect
440. #391C23semidirect
441. #391C23semidirect
446. #390C23semidirect
447. #390C23semidirect
448. #390C23semidirect
449. #390C23semidirect
450. #390C23semidirect
451. #390C23semidirect
452. #389C23semidirect
453. #389C23semidirect
460. #388C23semidirect
461. #388C23semidirect
462. #388C23semidirect
463. #388C23semidirect
464. #388C23semidirect
465. #388C23semidirect
466. #388C23semidirect
467. #388C23semidirect
468. #388C23semidirect
469. #388C23semidirect
470. #388C23semidirect
471. #388C23semidirect
472. #388C23semidirect
473. #388C23semidirect
474. #388C23semidirect
475. #388C23semidirect
476. #388C23semidirect
477. #388C23semidirect
478. #388C23semidirect
479. #388C23semidirect
480. #387C23semidirect
481. #387C23semidirect
482. #387C23semidirect
483. #387C23semidirect
484. #387C23semidirect
485. #387C23semidirect
492. #386C23semidirect
493. #386C23semidirect
494. #386C23semidirect
495. #386C23semidirect
496. #386C23semidirect
497. #386C23semidirect
501. #385C23semidirect
502. #385C23semidirect
503. #385C23semidirect
504. #385C23semidirect
505. #385C23semidirect
506. #384C23semidirect
507. #381C23semidirect
509. #380C23semidirect
510. #380C23semidirect
517. C4×C22⋊C4C23semidirect
518. C4×C22⋊C4C23semidirect
519. C4×C22⋊C4C23semidirect
520. C4×C22⋊C4C23semidirect
521. #376C23semidirect
1669. C2#47079direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#28032
C2×#27952
C2×#27882
C2×#27862
C2×#27362
C2×#27122
C2×#27032
C2×#27012
C2×#26972
C2×#26862
C2×#26702
#470792
C2×#28282
C2×#26002
C2×#26102
C2×#25572
C2×#25312
C2×#24112
C2×#24772
C2×#24262
C2×#24582
C2×#24222
C2×#24642
C2×#24082
C2×#24722
C2×#24052
C2×#24562
C2×#24102
C2×#23262
C2×#23212
C2×#23122