Finite Group Databasebeta

← C2×#48583 #7703372

Subgroups — C2×#48583 #7703372

Order 512.

6780 conjugacy classes of subgroups.

The subgroup lattice has 1594 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2808C211yesmaximal, characteristic, complemented
2C2×#2797C211yesmaximal, characteristic, complemented
3C2×#2751C211yesmaximal, characteristic, complemented
4C2×#2749C211yesmaximal, characteristic, complemented
5C2×#2735C211yesmaximal, characteristic, complemented
6C2×#2735C211yesmaximal, characteristic, complemented
7C2×#2735C211yesmaximal, characteristic, complemented
8C2×#2730C211yesmaximal, characteristic, complemented
9C2×#2711C211yesmaximal, characteristic, complemented
10C2×#2690C211yesmaximal, characteristic, complemented
11C2×#2684C211yesmaximal, characteristic, complemented
12C2×#2684C211yesmaximal, characteristic, complemented
13#48583C2132yesmaximal, direct product factor
14C2×#2593C211yesmaximal, characteristic, complemented
15C2×#2591C211yesmaximal, characteristic, complemented
16C2×#2577C211yesmaximal, characteristic, complemented
17C2×#2558C211yesmaximal, characteristic, complemented
18C2×#2482C211yesmaximal, characteristic, complemented
19C2×#2474C211yesmaximal, characteristic, complemented
20C2×#2476C211yesmaximal, characteristic, complemented
21C2×#2458C211yesmaximal, characteristic, complemented
22C2×#2435C211yesmaximal, characteristic, complemented
23C2×#2461C211yesmaximal, characteristic, complemented
24C2×#2408C211yesmaximal, characteristic
25C2×#2405C211yesmaximal, characteristic, complemented
26C2×#2449C211yesmaximal, characteristic, complemented
27C2×#2443C211yesmaximal, characteristic, complemented
28C2×#2632C211yesmaximal, characteristic, complemented
29C2×#2651C211yesmaximal, characteristic, complemented
30C2×#2375C211yesmaximal, characteristic, complemented
31C2×#2367C211yesmaximal, characteristic, complemented
32C2×#2321C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C22×#125C2211yescharacteristic, complemented
35C22×#124C2211yescharacteristic
36C22×#124C2211yescharacteristic
37C22×#124C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic, complemented
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#120C2211yescharacteristic
45C22×#120C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic, complemented
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic, complemented
49C22×#117C2211yescharacteristic, complemented
50C23×C4⋊C4C2211yescharacteristic, complemented
51C23×C22⋊C4C2211yescharacteristic
52#2808C22116yescomplemented
53#2797C22116yescomplemented
54#2751C22116yescomplemented
55#2749C22116yescomplemented
56#2735C22116yescomplemented
57#2735C22116yescomplemented
58#2735C22116yescomplemented
59#2730C22116yescomplemented
60#2711C22116yescomplemented
61#2690C22116yescomplemented
62#2684C22116yescomplemented
63#2684C22116yescomplemented
64#2651C22116yescomplemented
65#2632C22116yescomplemented
66#2593C22116yescomplemented
67#2591C22116yescomplemented
68#2577C22116yescomplemented
69#2558C22116yescomplemented
70#2482C22116yescomplemented
71#2476C22116yescomplemented
72#2474C22116yescomplemented
73#2461C22116yescomplemented
74#2458C22116yescomplemented
75#2449C22116yescomplemented
76#2443C22116yescomplemented
77#2435C22116yescomplemented
78#2408C22116yes—
79#2405C22116yescomplemented
80C2×#400C2211yescharacteristic, complemented
81C2×#400C2211yescharacteristic, complemented
82C2×#400C2211yescharacteristic, complemented
83C2×#399C2211yescharacteristic
84C2×#399C2211yescharacteristic, complemented
85C2×#399C2211yescharacteristic, complemented
86C2×#399C2211yescharacteristic, complemented
87C2×#398C2211yescharacteristic, complemented
88C2×#398C2211yescharacteristic, complemented
89C2×#398C2211yescharacteristic, complemented
90C2×#397C2211yescharacteristic
91C2×#397C2211yescharacteristic
92C2×#397C2211yescharacteristic
93C2×#397C2211yescharacteristic
94C2×#397C2211yescharacteristic, complemented
95C2×#397C2211yescharacteristic, complemented
96C2×#397C2211yescharacteristic, complemented
97C2×#397C2211yescharacteristic, complemented
98C2×#397C2211yescharacteristic, complemented
99C2×#397C2211yescharacteristic, complemented
100C2×#397C2211yescharacteristic, complemented
101C2×#396C2211yescharacteristic
102C2×#396C2211yescharacteristic, complemented
103C2×#396C2211yescharacteristic, complemented
104C2×#396C2211yescharacteristic, complemented
105C2×#396C2211yescharacteristic, complemented
106C2×#395C2211yescharacteristic, complemented
107C2×#395C2211yescharacteristic, complemented
108C2×#394C2211yescharacteristic
109C2×#394C2211yescharacteristic
110C2×#394C2211yescharacteristic
111C2×#394C2211yescharacteristic
112C2×#394C2211yescharacteristic
113C2×#394C2211yescharacteristic
114C2×#394C2211yescharacteristic
115C2×#394C2211yescharacteristic
116C2×#394C2211yescharacteristic
117C2×#394C2211yescharacteristic
118C2×#394C2211yescharacteristic, complemented
119C2×#394C2211yescharacteristic, complemented
120C2×#394C2211yescharacteristic, complemented
121C2×#394C2211yescharacteristic, complemented
122C2×#393C2211yescharacteristic, complemented
123C2×#393C2211yescharacteristic, complemented
124C2×#393C2211yescharacteristic, complemented
125C2×#393C2211yescharacteristic, complemented
126C2×#392C2211yescharacteristic
127C2×#392C2211yescharacteristic
128#2375C22116yescomplemented
129#2367C22116yescomplemented
130#2321C22116yescomplemented
131C2×#391C2211yescharacteristic, complemented
132C2×#391C2211yescharacteristic, complemented
133C2×#390C2211yescharacteristic
134C2×#390C2211yescharacteristic
135C2×#390C2211yescharacteristic
136C2×#390C2211yescharacteristic
137C2×#390C2211yescharacteristic
138C2×#390C2211yescharacteristic, complemented
139C2×#390C2211yescharacteristic, complemented
140C2×#390C2211yescharacteristic, complemented
141C2×#389C2211yescharacteristic, complemented
142C2×#388C2211yescharacteristic
143C2×#388C2211yescharacteristic
144C2×#388C2211yescharacteristic
145C2×#388C2211yescharacteristic
146C2×#388C2211yescharacteristic
147C2×#388C2211yescharacteristic
148C2×#388C2211yescharacteristic, complemented
149C2×#388C2211yescharacteristic, complemented
150C2×#388C2211yescharacteristic, complemented
151C2×#388C2211yescharacteristic, complemented
152C2×#388C2211yescharacteristic, complemented
153C2×#388C2211yescharacteristic, complemented
154C2×#388C2211yescharacteristic, complemented
155C2×#388C2211yescharacteristic, complemented
156C2×#388C2211yescharacteristic, complemented
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×#387C2211yescharacteristic, complemented
175C2×#387C2211yescharacteristic, complemented
176C2×#387C2211yescharacteristic, complemented
177C2×#387C2211yescharacteristic, complemented
178C2×#387C2211yescharacteristic, complemented
179C2×#387C2211yescharacteristic, complemented
180C2×#387C2211yescharacteristic, complemented
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic, complemented
186C2×#386C2211yescharacteristic, complemented
187C2×#386C2211yescharacteristic, complemented
188C2×#386C2211yescharacteristic, complemented
189C2×#386C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic, complemented
191C2×#386C2211yescharacteristic, complemented
192C2×#386C2211yescharacteristic, complemented
193C2×#385C2211yescharacteristic
194C2×#385C2211yescharacteristic
195C2×#385C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic, complemented
197C2×#385C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#383C2211yescharacteristic, complemented
202C2×#381C2211yescharacteristic, complemented
203C2×#380C2211yescharacteristic
204C2×#379C2211yescharacteristic
205C2×#379C2211yescharacteristic
206C2×#379C2211yescharacteristic
207C2×#379C2211yescharacteristic
208C2×#379C2211yescharacteristic
209C2×#379C2211yescharacteristic
210C2×#379C2211yescharacteristic
211C2×#379C2211yescharacteristic
212C2×#379C2211yescharacteristic
213C2×C4×C4⋊C4C2211yescharacteristic, complemented
214C2×C4×C4⋊C4C2211yescharacteristic, complemented
215C2×C4×C4⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, 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×D4C2318yes—
235C23×D4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C2×#125—44no—
243C2×#125C2318yescomplemented
244C2×#124—28no—
245C2×#124—44no—
246C2×#124—44no—
247C2×#124C2318yes—
248C2×#124C2318yes—
249C2×#124C2318yes—
250C2×#123—44no—
251C2×#123—44no—
252C2×#123C2318yes—
253C2×#123C2318yes—
254C2×C22⋊Q8—44no—
255C2×C22⋊Q8—44no—
256C2×C22⋊Q8C2318yes—
257C2×C22⋊Q8C2318yescomplemented
258C2×#121—44no—
259C2×#121—44no—
260C2×#121C2318yes—
261C2×#121C2318yes—
262C2×#120—28no—
263C2×#120—28no—
264C2×#120C2318yes—
265C2×#120C2318yes—
266C2×C4×Q8—44no—
267C2×C4×Q8C2318yescomplemented
268C2×C4×D4—44no—
269C2×C4×D4—44no—
270C2×C4×D4C2318yes—
271C2×C4×D4C2318yescomplemented
272C2×#117—44no—
273C2×#117C2318yescomplemented
274C22×C4⋊C4—44no—
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2318yescomplemented
303C22×C22⋊C4—44no—
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊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⋊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×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376#400C2318yescomplemented
377#400C2318yescomplemented
378#400C2318yescomplemented
379#399C2318yes—
380#399C2318yescomplemented
381#399C2318yescomplemented
382#399C2318yescomplemented
383#398C2318yescomplemented
384#398C2318yescomplemented
385#398C2318yescomplemented
386#397C2318yes—
387#397C2318yes—
388#397C2318yes—
389#397C2318yes—
390#397C2318yescomplemented
391#397C2318yescomplemented
392#397C2318yescomplemented
393#397C2318yescomplemented
394#397C2318yescomplemented
395#397C2318yescomplemented
396#397C2318yescomplemented
397#396C2318yes—
398#396C2318yescomplemented
399#396C2318yescomplemented
400#396C2318yescomplemented
401#396C2318yescomplemented
402#395C2318yescomplemented
403#395C2318yescomplemented
404#394C2318yes—
405#394C2318yes—
406#394C2318yes—
407#394C2318yes—
408#394C2318yes—
409#394C2318yes—
410#394C2318yes—
411#394C2318yes—
412#394C2318yes—
413#394C2318yes—
414#394C2318yescomplemented
415#394C2318yescomplemented
416#394C2318yescomplemented
417#394C2318yescomplemented
418#393C2318yescomplemented
419#393C2318yescomplemented
420#393C2318yescomplemented
421#393C2318yescomplemented
422#392C2318yes—
423#392C2318yes—
424#391C2318yescomplemented
425#391C2318yescomplemented
426#390C2318yes—
427#390C2318yes—
428#390C2318yes—
429#390C2318yes—
430#390C2318yes—
431#390C2318yescomplemented
432#390C2318yescomplemented
433#390C2318yescomplemented
434#389C2318yescomplemented
435#388C2318yes—
436#388C2318yes—
437#388C2318yes—
438#388C2318yes—
439#388C2318yes—
440#388C2318yes—
441#388C2318yescomplemented
442#388C2318yescomplemented
443#388C2318yescomplemented
444#388C2318yescomplemented
445#388C2318yescomplemented
446#388C2318yescomplemented
447#388C2318yescomplemented
448#388C2318yescomplemented
449#388C2318yescomplemented
450#388C2318yescomplemented
451#388C2318yescomplemented
452#388C2318yescomplemented
453#388C2318yescomplemented
454#388C2318yescomplemented
455#388C2318yescomplemented
456#388C2318yescomplemented
457#388C2318yescomplemented
458#388C2318yescomplemented
459#388C2318yescomplemented
460#388C2318yescomplemented
461#388C2318yescomplemented
462#388C2318yescomplemented
463#388C2318yescomplemented
464#388C2318yescomplemented
465#388C2318yescomplemented
466#388C2318yescomplemented
467#387C2318yescomplemented
468#387C2318yescomplemented
469#387C2318yescomplemented
470#387C2318yescomplemented
471#387C2318yescomplemented
472#387C2318yescomplemented
473#387C2318yescomplemented
474#386C2318yes—
475#386C2318yes—
476#386C2318yes—
477#386C2318yes—
478#386C2318yescomplemented
479#386C2318yescomplemented
480#386C2318yescomplemented
481#386C2318yescomplemented
482#386C2318yescomplemented
483#386C2318yescomplemented
484#386C2318yescomplemented
485#386C2318yescomplemented
486#385C2318yes—
487#385C2318yes—
488#385C2318yescomplemented
489#385C2318yescomplemented
490#385C2318yescomplemented
491#385C2318yescomplemented
492#385C2318yescomplemented
493#385C2318yescomplemented
494#383C2318yescomplemented
495#381C2318yescomplemented
496#380C2318yes—
497#379C2318yes—
498#379C2318yes—
499#379C2318yes—
500#379C2318yes—
501#379C2318yes—
502#379C2318yes—
503#379C2318yes—
504#379C2318yes—
505#379C2318yes—
506C4×C4⋊C4C2318yescomplemented
507C4×C4⋊C4C2318yescomplemented
508C4×C4⋊C4C2318yescomplemented
509C4×C22⋊C4C2318yes—
510C4×C22⋊C4C2318yescomplemented
511C4×C22⋊C4C2318yescomplemented
512C2×#95C2311yescharacteristic
513C2×#95C2311yescharacteristic
514C2×#95C2311yescharacteristic
515C2×#95C2311yescharacteristic
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C25—24no—
551C25—24no—
552C25—24no—
553C25—42no—
554C25—42no—
555C25—42no—
556C25—42no—
557C25—42no—
558C25—42no—
559C25—42no—
560C25—42no—
561C25—42no—
562C25—42no—
563C25—42no—
564C25C2411yescharacteristic
565C25C2411yescharacteristic
566C25C2411yescharacteristic
567C25C2411yescharacteristic
568C25C2411yescharacteristic
569C25C2411yescharacteristic
570C25C2414yes—
571C25C2414yes—
572C22×Q8—24no—
573C22×Q8—24no—
574C22×Q8—42no—
575C22×Q8—42no—
576C22×Q8—42no—
577C22×Q8—42no—
578C22×Q8C2414yes—
579C22×Q8C2414yes—
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—24no—
591C22×D4—416no—
592C22×D4—416no—
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—416no—
609C22×D4—464no—
610C22×D4#4118yes—
611C22×D4C2414yes—
612C22×D4C2414yes—
613C22×D4C2414yes—
614C22×D4C2414yes—
615C22×D4C2414yes—
616C22×D4C2414yes—
617C22×D4C2414yes—
618C22×D4C2414yes—
619C22×D4C2414yes—
620C23×C4—24no—
621C23×C4—24no—
622C23×C4—24no—
623C23×C4—24no—
624C23×C4—24no—
625C23×C4—42no—
626C23×C4—42no—
627C23×C4—42no—
628C23×C4—42no—
629C23×C4—42no—
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×C4C2411yescharacteristic
639C23×C4C2411yescharacteristic
640C23×C4C2411yescharacteristic
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
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×C4C2414yes—
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2414yes—
665C23×C4C2414yes—
666C23×C4C2414yes—
667C23×C4C2414yes—
668C23×C4C2414yes—
669#125—416no—
670#124—232no—
671#124—416no—
672#124—416no—
673#123—416no—
674#123—416no—
675C22⋊Q8—416no—
676C22⋊Q8—416no—
677#121—416no—
678#121—416no—
679#120—232no—
680#120—232no—
681C4×Q8—416no—
682C4×D4—416no—
683C4×D4—416no—
684#117—416no—
685C2×C4⋊C4—24no—
686C2×C4⋊C4—24no—
687C2×C4⋊C4—24no—
688C2×C4⋊C4—24no—
689C2×C4⋊C4—24no—
690C2×C4⋊C4—24no—
691C2×C4⋊C4—24no—
692C2×C4⋊C4—24no—
693C2×C4⋊C4—416no—
694C2×C4⋊C4—42no—
695C2×C4⋊C4—42no—
696C2×C4⋊C4—42no—
697C2×C4⋊C4—42no—
698C2×C4⋊C4—42no—
699C2×C4⋊C4—42no—
700C2×C4⋊C4—42no—
701C2×C4⋊C4—42no—
702C2×C4⋊C4—42no—
703C2×C4⋊C4—42no—
704C2×C4⋊C4—42no—
705C2×C4⋊C4—42no—
706C2×C4⋊C4—42no—
707C2×C4⋊C4—42no—
708C2×C4⋊C4—42no—
709C2×C4⋊C4—42no—
710C2×C4⋊C4—42no—
711C2×C4⋊C4—42no—
712C2×C4⋊C4—42no—
713C2×C4⋊C4C2414yes—
714C2×C4⋊C4C2414yes—
715C2×C4⋊C4C2414yes—
716C2×C4⋊C4C2414yes—
717C2×C4⋊C4C2414yes—
718C2×C4⋊C4C2414yes—
719C2×C4⋊C4C2414yes—
720C2×C4⋊C4C2414yes—
721C2×C4⋊C4C2414yes—
722C2×C4⋊C4C2414yes—
723C2×C4⋊C4C2414yes—
724C2×C4⋊C4C2414yes—
725C2×C4⋊C4C2414yes—
726C2×C4⋊C4C2414yes—
727C2×C4⋊C4C2414yes—
728C2×C4⋊C4C2414yes—
729C2×C4⋊C4C2414yes—
730C2×C4⋊C4C2414yes—
731C2×C4⋊C4C2414yes—
732C2×C4⋊C4C2414yes—
733C2×C4⋊C4C2414yes—
734C2×C4⋊C4C2414yes—
735C2×C4⋊C4C2414yes—
736C2×C4⋊C4C2414yes—
737C2×C4⋊C4C2414yes—
738C2×C4⋊C4C2414yes—
739C2×C4⋊C4C2414yes—
740C2×C22⋊C4—24no—
741C2×C22⋊C4—24no—
742C2×C22⋊C4—24no—
743C2×C22⋊C4—24no—
744C2×C22⋊C4—24no—
745C2×C22⋊C4—24no—
746C2×C22⋊C4—24no—
747C2×C22⋊C4—24no—
748C2×C22⋊C4—24no—
749C2×C22⋊C4—24no—
750C2×C22⋊C4—24no—
751C2×C22⋊C4—24no—
752C2×C22⋊C4—24no—
753C2×C22⋊C4—24no—
754C2×C22⋊C4—42no—
755C2×C22⋊C4—42no—
756C2×C22⋊C4—42no—
757C2×C22⋊C4—42no—
758C2×C22⋊C4—416no—
759C2×C22⋊C4—42no—
760C2×C22⋊C4—42no—
761C2×C22⋊C4—42no—
762C2×C22⋊C4—42no—
763C2×C22⋊C4—42no—
764C2×C22⋊C4—42no—
765C2×C22⋊C4—42no—
766C2×C22⋊C4—42no—
767C2×C22⋊C4—42no—
768C2×C22⋊C4—42no—
769C2×C22⋊C4—42no—
770C2×C22⋊C4—42no—
771C2×C22⋊C4—42no—
772C2×C22⋊C4—42no—
773C2×C22⋊C4—42no—
774C2×C22⋊C4—42no—
775C2×C22⋊C4—42no—
776C2×C22⋊C4—42no—
777C2×C22⋊C4—42no—
778C2×C22⋊C4—42no—
779C2×C22⋊C4—42no—
780C2×C22⋊C4—42no—
781C2×C22⋊C4—42no—
782C2×C22⋊C4—42no—
783C2×C22⋊C4—42no—
784C2×C22⋊C4—42no—
785C2×C22⋊C4—42no—
786C2×C22⋊C4—42no—
787C2×C22⋊C4—42no—
788C2×C22⋊C4—42no—
789C2×C22⋊C4—42no—
790C2×C22⋊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⋊C4C2414yes—
802C2×C22⋊C4C2414yes—
803C2×C22⋊C4C2414yes—
804C2×C22⋊C4C2414yes—
805C2×C22⋊C4C2414yes—
806C2×C22⋊C4C2414yes—
807C2×C22⋊C4C2414yes—
808C2×C22⋊C4C2414yes—
809C2×C22⋊C4C2414yes—
810C2×C22⋊C4C2414yes—
811C2×C22⋊C4C2414yes—
812C2×C22⋊C4C2414yes—
813C2×C22⋊C4C2414yes—
814C2×C22⋊C4C2414yes—
815C2×C22⋊C4C2414yes—
816C2×C22⋊C4C2414yes—
817C2×C22⋊C4C2414yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2414yes—
821C2×C22⋊C4C2414yes—
822C2×C22⋊C4C2414yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×C22⋊C4C2414yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×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×C42—24no—
862C2×C42—24no—
863C2×C42—42no—
864C2×C42—42no—
865C2×C42—42no—
866C2×C42—42no—
867C2×C42—42no—
868C2×C42—42no—
869C2×C42—42no—
870C2×C42—42no—
871C2×C42—42no—
872C2×C42C2414yes—
873C2×C42C2414yes—
874C2×C42C2414yes—
875C2×C42C2414yes—
876C2×C42C2414yes—
877C2×C42C2414yes—
878C2×C42C2414yes—
879C2×C42C2414yes—
880C2×C42C2414yes—
881C2×C42C2414yes—
882C2×C42C2414yes—
883#95C2414yes—
884#95C2414yes—
885#95C2414yes—
886#95C2414yes—
887#95C2414yes—
888#95C2414yes—
889#95C2414yes—
890#95C2414yes—
891#95C2414yes—
892#95C2414yes—
893#95C2414yes—
894#95C2414yes—
895#95C2414yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899#95C2414yes—
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—
921C24—22no—
922C24—22no—
923C24—22no—
924C24—22no—
925C24—22no—
926C24—22no—
927C24—22no—
928C24—22no—
929C24—22no—
930C24—22no—
931C24—22no—
932C24—22no—
933C24—22no—
934C24—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—28no—
961C24—28no—
962C24—28no—
963C24—44no—
964C24—44no—
965C24—44no—
966C24—44no—
967C24—44no—
968C24—44no—
969C24—44no—
970C24—44no—
971C24—44no—
972C24—44no—
973C24—44no—
974C24—416no—
975C24—416no—
976C24—416no—
977C24—88no—
978C24—88no—
979C24—88no—
980C24—88no—
981C24—88no—
982C24—88no—
983C24—88no—
984C24—88no—
985C24—88no—
986C24—88no—
987C24—88no—
988C24C2×#4114yes—
989C24C2×#4114yes—
990C24H(5,𝔽2)14yes—
991C24C2512yes—
992C24C2512yes—
993C24C2512yes—
994C24C2512yes—
995C24C2512yes—
996C24C2512yes—
997C24C2511yescharacteristic
998C2×Q8—28no—
999C2×Q8—28no—
1000C2×Q8—44no—
1001C2×Q8—44no—
1002C2×Q8—44no—
1003C2×Q8—44no—
1004C2×Q8—416no—
1005C2×Q8—88no—
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—28no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—416no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—416no—
1028C2×D4—416no—
1029C2×D4—416no—
1030C2×D4—416no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—416no—
1038C2×D4—4128no—
1039C2×D4—88no—
1040C2×D4—88no—
1041C2×D4—88no—
1042C2×D4C2×#41116yes—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—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—28no—
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—28no—
1117C22×C4—28no—
1118C22×C4—28no—
1119C22×C4—28no—
1120C22×C4—44no—
1121C22×C4—44no—
1122C22×C4—44no—
1123C22×C4—44no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—416no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—416no—
1135C22×C4—416no—
1136C22×C4—88no—
1137C22×C4—88no—
1138C22×C4—88no—
1139C22×C4C2×#4114yes—
1140C22×C4H(5,𝔽2)14yes—
1141C22×C4H(5,𝔽2)14yes—
1142C22×C4C2512yes—
1143C22×C4C2512yes—
1144C22×C4C2512yes—
1145C22×C4C2512yes—
1146C22×C4C2512yes—
1147C22×C4C2512yes—
1148C22×C4C2512yes—
1149C22×C4C2512yes—
1150C22×C4C2512yes—
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2512yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2512yes—
1158C22×C4C2512yes—
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2512yes—
1166C22×C4C2512yes—
1167C4⋊C4—28no—
1168C4⋊C4—28no—
1169C4⋊C4—28no—
1170C4⋊C4—28no—
1171C4⋊C4—28no—
1172C4⋊C4—28no—
1173C4⋊C4—28no—
1174C4⋊C4—28no—
1175C4⋊C4—44no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C22⋊C4—28no—
1195C22⋊C4—28no—
1196C22⋊C4—28no—
1197C22⋊C4—28no—
1198C22⋊C4—28no—
1199C22⋊C4—28no—
1200C22⋊C4—28no—
1201C22⋊C4—28no—
1202C22⋊C4—28no—
1203C22⋊C4—28no—
1204C22⋊C4—28no—
1205C22⋊C4—28no—
1206C22⋊C4—28no—
1207C22⋊C4—28no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
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—
1254C42—28no—
1255C42—28no—
1256C42—44no—
1257C42—44no—
1258C42—44no—
1259C42—44no—
1260C42—44no—
1261C42—44no—
1262C42—44no—
1263C42—44no—
1264C42—44no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—22no—
1281C23—22no—
1282C23—22no—
1283C23—28no—
1284C23—28no—
1285C23—28no—
1286C23—28no—
1287C23—28no—
1288C23—28no—
1289C23—28no—
1290C23—28no—
1291C23—28no—
1292C23—22no—
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—416no—
1314C23—416no—
1315C23—44no—
1316C23—44no—
1317C23—44no—
1318C23—44no—
1319C23—44no—
1320C23—44no—
1321C23—44no—
1322C23—44no—
1323C23—44no—
1324C23—44no—
1325C23—44no—
1326C23—44no—
1327C23—416no—
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—88no—
1350C23—88no—
1351C23—88no—
1352C23—88no—
1353C23—88no—
1354C23—88no—
1355C23—88no—
1356C23—88no—
1357C23—88no—
1358C23—88no—
1359C23—88no—
1360C23—864no—
1361C23—864no—
1362C23C22×#4114yes—
1363C23C22×#4114yes—
1364C23C22×#4112yes—
1365C23C2×H(5,𝔽2)14yes—
1366C23C2×H(5,𝔽2)12yes—
1367C23C2×H(5,𝔽2)12yes—
1368C23C2×H(5,𝔽2)12yes—
1369C23#58512yes—
1370C23#58512yes—
1371C23#58512yes—
1372C23C2611yescharacteristic
1373Q8—416no—
1374Q8—88no—
1375D4—416no—
1376D4—416no—
1377D4—416no—
1378D4—416no—
1379D4—416no—
1380D4—416no—
1381D4—88no—
1382D4—88no—
1383D4—88no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—28no—
1391C2×C4—28no—
1392C2×C4—28no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
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—416no—
1460C2×C4—416no—
1461C2×C4—416no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
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—88no—
1485C2×C4—88no—
1486C2×C4—88no—
1487C2×C4C22×#4114yes—
1488C2×C4C2×H(5,𝔽2)14yes—
1489C2×C4C2×H(5,𝔽2)14yes—
1490C22—24no—
1491C22—24no—
1492C22—24no—
1493C22—24no—
1494C22—24no—
1495C22—24no—
1496C22—24no—
1497C22—24no—
1498C22—24no—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22—42no—
1503C22—42no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—416no—
1510C22—416no—
1511C22—416no—
1512C22—42no—
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—832no—
1536C22—832no—
1537C22—88no—
1538C22—88no—
1539C22—88no—
1540C22#350514yes—
1541C22#351314yes—
1542C22#351414yes—
1543C22#353214yes—
1544C22#353314yes—
1545C22#354014yes—
1546C22#356214yes—
1547C22C23×#4111yescharacteristic
1548C22C22×H(5,𝔽2)11yescharacteristic
1549C22C22×H(5,𝔽2)11yescharacteristic
1550C22C22×H(5,𝔽2)11yescharacteristic
1551C22C2×#58511yescharacteristic
1552C22C2×#58511yescharacteristic
1553C22C2×#58511yescharacteristic
1554C4—24no—
1555C4—24no—
1556C4—24no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
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—
1579C2—44no—
1580C2—44no—
1581C2—44no—
1582C2—82no—
1583C2—82no—
1584C2—82no—
1585C2#4858318yesdirect product factor
1586C2C2×#353211yescharacteristic
1587C2C2×#353311yescharacteristic
1588C2C2×#354011yescharacteristic
1589C2C2×#356211yescharacteristic
1590C2C2×#350511yescharacteristic
1591C2C2×#351311yescharacteristic
1592C2C2×#351411yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2408C2
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×#2808C2semidirect
2. C2×#2797C2semidirect
3. C2×#2751C2semidirect
4. C2×#2749C2semidirect
5. C2×#2735C2semidirect
6. C2×#2735C2semidirect
7. C2×#2735C2semidirect
8. C2×#2730C2semidirect
9. C2×#2711C2semidirect
10. C2×#2690C2semidirect
11. C2×#2684C2semidirect
12. C2×#2684C2semidirect
13. #48583C2direct (N × H)
14. C2×#2593C2semidirect
15. C2×#2591C2semidirect
16. C2×#2577C2semidirect
17. C2×#2558C2semidirect
18. C2×#2482C2semidirect
19. C2×#2474C2semidirect
20. C2×#2476C2semidirect
21. C2×#2458C2semidirect
22. C2×#2435C2semidirect
23. C2×#2461C2semidirect
25. C2×#2405C2semidirect
26. C2×#2449C2semidirect
27. C2×#2443C2semidirect
28. C2×#2632C2semidirect
29. C2×#2651C2semidirect
30. C2×#2375C2semidirect
31. C2×#2367C2semidirect
32. C2×#2321C2semidirect
34. C22×#125C22semidirect
41. C22×C22⋊Q8C22semidirect
46. C22×C4×Q8C22semidirect
48. C22×C4×D4C22semidirect
49. C22×#117C22semidirect
50. C23×C4⋊C4C22semidirect
52. #2808C22semidirect
53. #2797C22semidirect
54. #2751C22semidirect
55. #2749C22semidirect
56. #2735C22semidirect
57. #2735C22semidirect
58. #2735C22semidirect
59. #2730C22semidirect
60. #2711C22semidirect
61. #2690C22semidirect
62. #2684C22semidirect
63. #2684C22semidirect
64. #2651C22semidirect
65. #2632C22semidirect
66. #2593C22semidirect
67. #2591C22semidirect
68. #2577C22semidirect
69. #2558C22semidirect
70. #2482C22semidirect
71. #2476C22semidirect
72. #2474C22semidirect
73. #2461C22semidirect
74. #2458C22semidirect
75. #2449C22semidirect
76. #2443C22semidirect
77. #2435C22semidirect
79. #2405C22semidirect
80. C2×#400C22semidirect
81. C2×#400C22semidirect
82. C2×#400C22semidirect
84. C2×#399C22semidirect
85. C2×#399C22semidirect
86. C2×#399C22semidirect
87. C2×#398C22semidirect
88. C2×#398C22semidirect
89. C2×#398C22semidirect
94. C2×#397C22semidirect
95. C2×#397C22semidirect
96. C2×#397C22semidirect
97. C2×#397C22semidirect
98. C2×#397C22semidirect
99. C2×#397C22semidirect
100. C2×#397C22semidirect
102. C2×#396C22semidirect
103. C2×#396C22semidirect
104. C2×#396C22semidirect
105. C2×#396C22semidirect
106. C2×#395C22semidirect
107. C2×#395C22semidirect
118. C2×#394C22semidirect
119. C2×#394C22semidirect
120. C2×#394C22semidirect
121. C2×#394C22semidirect
122. C2×#393C22semidirect
123. C2×#393C22semidirect
124. C2×#393C22semidirect
125. C2×#393C22semidirect
128. #2375C22semidirect
129. #2367C22semidirect
130. #2321C22semidirect
131. C2×#391C22semidirect
132. C2×#391C22semidirect
138. C2×#390C22semidirect
139. C2×#390C22semidirect
140. C2×#390C22semidirect
141. C2×#389C22semidirect
148. C2×#388C22semidirect
149. C2×#388C22semidirect
150. C2×#388C22semidirect
151. C2×#388C22semidirect
152. C2×#388C22semidirect
153. C2×#388C22semidirect
154. C2×#388C22semidirect
155. C2×#388C22semidirect
156. C2×#388C22semidirect
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×#387C22semidirect
175. C2×#387C22semidirect
176. C2×#387C22semidirect
177. C2×#387C22semidirect
178. C2×#387C22semidirect
179. C2×#387C22semidirect
180. C2×#387C22semidirect
185. C2×#386C22semidirect
186. C2×#386C22semidirect
187. C2×#386C22semidirect
188. C2×#386C22semidirect
189. C2×#386C22semidirect
190. C2×#386C22semidirect
191. C2×#386C22semidirect
192. C2×#386C22semidirect
195. C2×#385C22semidirect
196. C2×#385C22semidirect
197. C2×#385C22semidirect
198. C2×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#383C22semidirect
202. C2×#381C22semidirect
213. C2×C4×C4⋊C4C22semidirect
214. C2×C4×C4⋊C4C22semidirect
215. C2×C4×C4⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
243. C2×#125C23semidirect
257. C2×C22⋊Q8C23semidirect
267. C2×C4×Q8C23semidirect
271. C2×C4×D4C23semidirect
273. C2×#117C23semidirect
302. C22×C4⋊C4C23semidirect
376. #400C23semidirect
377. #400C23semidirect
378. #400C23semidirect
380. #399C23semidirect
381. #399C23semidirect
382. #399C23semidirect
383. #398C23semidirect
384. #398C23semidirect
385. #398C23semidirect
390. #397C23semidirect
391. #397C23semidirect
392. #397C23semidirect
393. #397C23semidirect
394. #397C23semidirect
395. #397C23semidirect
396. #397C23semidirect
398. #396C23semidirect
399. #396C23semidirect
400. #396C23semidirect
401. #396C23semidirect
402. #395C23semidirect
403. #395C23semidirect
414. #394C23semidirect
415. #394C23semidirect
416. #394C23semidirect
417. #394C23semidirect
418. #393C23semidirect
419. #393C23semidirect
420. #393C23semidirect
421. #393C23semidirect
424. #391C23semidirect
425. #391C23semidirect
431. #390C23semidirect
432. #390C23semidirect
433. #390C23semidirect
434. #389C23semidirect
441. #388C23semidirect
442. #388C23semidirect
443. #388C23semidirect
444. #388C23semidirect
445. #388C23semidirect
446. #388C23semidirect
447. #388C23semidirect
448. #388C23semidirect
449. #388C23semidirect
450. #388C23semidirect
451. #388C23semidirect
452. #388C23semidirect
453. #388C23semidirect
454. #388C23semidirect
455. #388C23semidirect
456. #388C23semidirect
457. #388C23semidirect
458. #388C23semidirect
459. #388C23semidirect
460. #388C23semidirect
461. #388C23semidirect
462. #388C23semidirect
463. #388C23semidirect
464. #388C23semidirect
465. #388C23semidirect
466. #388C23semidirect
467. #387C23semidirect
468. #387C23semidirect
469. #387C23semidirect
470. #387C23semidirect
471. #387C23semidirect
472. #387C23semidirect
473. #387C23semidirect
478. #386C23semidirect
479. #386C23semidirect
480. #386C23semidirect
481. #386C23semidirect
482. #386C23semidirect
483. #386C23semidirect
484. #386C23semidirect
485. #386C23semidirect
488. #385C23semidirect
489. #385C23semidirect
490. #385C23semidirect
491. #385C23semidirect
492. #385C23semidirect
493. #385C23semidirect
494. #383C23semidirect
495. #381C23semidirect
506. C4×C4⋊C4C23semidirect
507. C4×C4⋊C4C23semidirect
508. C4×C4⋊C4C23semidirect
510. C4×C22⋊C4C23semidirect
511. C4×C22⋊C4C23semidirect
1585. C2#48583direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#28082
C2×#27972
C2×#27512
C2×#27492
C2×#27352
C2×#27302
C2×#27112
C2×#26902
C2×#26842
#485832
C2×#25932
C2×#25912
C2×#25772
C2×#25582
C2×#24822
C2×#24742
C2×#24762
C2×#24582
C2×#24352
C2×#24612
C2×#24082
C2×#24052
C2×#24492
C2×#24432
C2×#26322
C2×#26512
C2×#23752
C2×#23672
C2×#23212