Finite Group Databasebeta

← C2×#38566 #7635757

Subgroups — C2×#38566 #7635757

Order 512.

7588 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2800C211yesmaximal, characteristic, complemented
2C2×#2757C211yesmaximal, characteristic, complemented
3C2×#2737C211yesmaximal, characteristic, complemented
4C2×#2710C211yesmaximal, characteristic, complemented
5C2×#2705C211yesmaximal, characteristic, complemented
6C2×#2701C211yesmaximal, characteristic, complemented
7C2×#2692C211yesmaximal, characteristic, complemented
8C2×#2691C211yesmaximal, characteristic, complemented
9#38566C2132yesmaximal, direct product factor
10C2×#2852C211yesmaximal, characteristic, complemented
11C2×#2583C211yesmaximal, characteristic, complemented
12C2×#2579C211yesmaximal, characteristic, complemented
13C2×#2479C211yesmaximal, characteristic, complemented
14C2×#2426C211yesmaximal, characteristic, complemented
15C2×#2458C211yesmaximal, characteristic, complemented
16C2×#2461C211yesmaximal, characteristic, complemented
17C2×#2480C211yesmaximal, characteristic, complemented
18C2×#2472C211yesmaximal, characteristic, complemented
19C2×#2472C211yesmaximal, characteristic, complemented
20C2×#2405C211yesmaximal, characteristic, complemented
21C2×#2418C211yesmaximal, characteristic, complemented
22C2×#2437C211yesmaximal, characteristic, complemented
23C2×#2437C211yesmaximal, characteristic, complemented
24C2×#2410C211yesmaximal, characteristic
25C2×#2662C211yesmaximal, characteristic, complemented
26C2×#2651C211yesmaximal, characteristic, complemented
27C2×#2358C211yesmaximal, characteristic, complemented
28C2×#2342C211yesmaximal, characteristic, complemented
29C2×#2335C211yesmaximal, characteristic, complemented
30C2×#2324C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊Q8C211yesmaximal, characteristic, complemented
32C22×#390C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C22×#126C2211yescharacteristic, complemented
35C22×#126C2211yescharacteristic, complemented
36C22×#124C2211yescharacteristic, complemented
37C22×#124C2211yescharacteristic, complemented
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic, complemented
41C22×C22⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic, complemented
44C22×C22⋊Q8C2211yescharacteristic, complemented
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic
47C22×#120C2211yescharacteristic
48C22×#120C2211yescharacteristic
49C22×C4×Q8C2211yescharacteristic, complemented
50C22×C4×D4C2211yescharacteristic
51C22×C4×D4C2211yescharacteristic, complemented
52C22×#117C2211yescharacteristic, complemented
53C23×C4⋊C4C2211yescharacteristic
54C23×C22⋊C4C2211yescharacteristic
55C23×C22⋊C4C2211yescharacteristic
56C23×C22⋊C4C2211yescharacteristic
57C23×C22⋊C4C2211yescharacteristic
58C23×C22⋊C4C2211yescharacteristic
59C23×C22⋊C4C2211yescharacteristic
60C23×C42C2211yescharacteristic
61#2852C22116yescomplemented
62#2800C22116yescomplemented
63#2757C22116yescomplemented
64#2737C22116yescomplemented
65#2710C22116yescomplemented
66#2705C22116yescomplemented
67#2701C22116yescomplemented
68#2692C22116yescomplemented
69#2691C22116yescomplemented
70#2662C22116yescomplemented
71#2651C22116yescomplemented
72#2583C22116yescomplemented
73#2579C22116yescomplemented
74#2480C22116yescomplemented
75#2479C22116yescomplemented
76#2472C22116yescomplemented
77#2472C22116yescomplemented
78#2461C22116yescomplemented
79#2458C22116yescomplemented
80#2437C22116yescomplemented
81#2437C22116yescomplemented
82#2426C22116yescomplemented
83#2418C22116yescomplemented
84#2410C22116yes—
85#2405C22116yescomplemented
86C2×#399C2211yescharacteristic, complemented
87C2×#399C2211yescharacteristic, complemented
88C2×#399C2211yescharacteristic, complemented
89C2×#398C2211yescharacteristic, complemented
90C2×#398C2211yescharacteristic, complemented
91C2×#398C2211yescharacteristic, complemented
92C2×#398C2211yescharacteristic, complemented
93C2×#397C2211yescharacteristic, complemented
94C2×#397C2211yescharacteristic, complemented
95C2×#397C2211yescharacteristic, complemented
96C2×#397C2211yescharacteristic, complemented
97C2×#397C2211yescharacteristic, complemented
98C2×#397C2211yescharacteristic, complemented
99C2×#396C2211yescharacteristic, complemented
100C2×#396C2211yescharacteristic, complemented
101C2×#396C2211yescharacteristic, complemented
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, complemented
115C2×#394C2211yescharacteristic, complemented
116C2×#394C2211yescharacteristic, complemented
117C2×#394C2211yescharacteristic, complemented
118C2×#394C2211yescharacteristic, complemented
119C2×#394C2211yescharacteristic, complemented
120C2×#393C2211yescharacteristic, complemented
121C2×#393C2211yescharacteristic, complemented
122C2×#393C2211yescharacteristic, complemented
123C2×#393C2211yescharacteristic, complemented
124C2×#392C2211yescharacteristic
125C2×#392C2211yescharacteristic
126#2358C22116yescomplemented
127#2342C22116yescomplemented
128#2335C22116yescomplemented
129#2324C22116yescomplemented
130C4×C22⋊Q8C22116yescomplemented
131C2×#391C2211yescharacteristic, complemented
132C2×#390C2211yescharacteristic
133C2×#390C2211yescharacteristic
134C2×#390C2211yescharacteristic
135C2×#390C2211yescharacteristic
136C2×#390C2211yescharacteristic
137C2×#390C2211yescharacteristic
138C2×#390C2211yescharacteristic
139C2×#390C2211yescharacteristic
140C2×#390C22116yescomplemented
141C2×#390C2211yescharacteristic, complemented
142C2×#390C2211yescharacteristic, complemented
143C2×#390C2211yescharacteristic, complemented
144C2×#389C2211yescharacteristic, complemented
145C2×#389C2211yescharacteristic, complemented
146C2×#389C2211yescharacteristic, complemented
147C2×#389C2211yescharacteristic, complemented
148C2×#389C2211yescharacteristic, 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×#387C2211yescharacteristic, complemented
168C2×#387C2211yescharacteristic, complemented
169C2×#387C2211yescharacteristic, complemented
170C2×#387C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#387C2211yescharacteristic, complemented
173C2×#387C2211yescharacteristic, complemented
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic, complemented
183C2×#386C2211yescharacteristic, complemented
184C2×#386C2211yescharacteristic, complemented
185C2×#385C2211yescharacteristic
186C2×#385C2211yescharacteristic
187C2×#385C2211yescharacteristic
188C2×#385C2211yescharacteristic
189C2×#385C2211yescharacteristic
190C2×#385C2211yescharacteristic
191C2×#385C2211yescharacteristic
192C2×#385C2211yescharacteristic
193C2×#385C2211yescharacteristic, complemented
194C2×#385C2211yescharacteristic, complemented
195C2×#385C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic, complemented
197C2×#385C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#383C2211yescharacteristic, complemented
201C2×#381C2211yescharacteristic, complemented
202C2×#380C2211yescharacteristic
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic, complemented
205C2×#380C2211yescharacteristic, complemented
206C2×#380C2211yescharacteristic, complemented
207C2×#379C2211yescharacteristic
208C2×#379C2211yescharacteristic
209C2×#379C2211yescharacteristic
210C2×#379C2211yescharacteristic
211C2×C4×C4⋊C4C2211yescharacteristic, complemented
212C2×C4×C4⋊C4C2211yescharacteristic, complemented
213C2×C4×C4⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic
215C2×C4×C22⋊C4C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4—28no—
224C23×D4—44no—
225C23×D4—44no—
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2318yes—
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C2×#126—44no—
247C2×#126—44no—
248C2×#126C2318yescomplemented
249C2×#126C2318yescomplemented
250C2×#124—44no—
251C2×#124—44no—
252C2×#124C2318yescomplemented
253C2×#124C2318yescomplemented
254C2×#123—28no—
255C2×#123—44no—
256C2×#123—44no—
257C2×#123C2318yes—
258C2×#123C2318yes—
259C2×#123C2318yescomplemented
260C2×C22⋊Q8—28no—
261C2×C22⋊Q8—44no—
262C2×C22⋊Q8—44no—
263C2×C22⋊Q8—44no—
264C2×C22⋊Q8C2318yes—
265C2×C22⋊Q8C2318yes—
266C2×C22⋊Q8C2318yescomplemented
267C2×C22⋊Q8C2318yescomplemented
268C2×#121—28no—
269C2×#121—44no—
270C2×#121C2318yes—
271C2×#121C2318yes—
272C2×#120—28no—
273C2×#120—44no—
274C2×#120C2318yes—
275C2×#120C2318yes—
276C2×C4×Q8—44no—
277C2×C4×Q8C2318yescomplemented
278C2×C4×D4—44no—
279C2×C4×D4—44no—
280C2×C4×D4C2318yes—
281C2×C4×D4C2318yescomplemented
282C2×#117—44no—
283C2×#117C2318yescomplemented
284C22×C4⋊C4—44no—
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⋊C4C2318yes—
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×C22⋊C4—28no—
318C22×C22⋊C4—44no—
319C22×C22⋊C4—44no—
320C22×C22⋊C4—44no—
321C22×C22⋊C4—44no—
322C22×C22⋊C4—44no—
323C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
351C22×C22⋊C4C2318yes—
352C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
381C22×C22⋊C4C2318yes—
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2311yescharacteristic
385C22×C42—44no—
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2318yes—
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398#399C2318yescomplemented
399#399C2318yescomplemented
400#399C2318yescomplemented
401#398C2318yescomplemented
402#398C2318yescomplemented
403#398C2318yescomplemented
404#398C2318yescomplemented
405#397C2318yescomplemented
406#397C2318yescomplemented
407#397C2318yescomplemented
408#397C2318yescomplemented
409#397C2318yescomplemented
410#397C2318yescomplemented
411#396C2318yescomplemented
412#396C2318yescomplemented
413#396C2318yescomplemented
414#396C2318yescomplemented
415#396C2318yescomplemented
416#396C2318yescomplemented
417#396C2318yescomplemented
418#395C2318yescomplemented
419#395C2318yescomplemented
420#394C2318yes—
421#394C2318yes—
422#394C2318yes—
423#394C2318yes—
424#394C2318yes—
425#394C2318yes—
426#394C2318yescomplemented
427#394C2318yescomplemented
428#394C2318yescomplemented
429#394C2318yescomplemented
430#394C2318yescomplemented
431#394C2318yescomplemented
432#393C2318yescomplemented
433#393C2318yescomplemented
434#393C2318yescomplemented
435#393C2318yescomplemented
436#392C2318yes—
437#392C2318yes—
438#391C2318yescomplemented
439#390C2318yes—
440#390C2318yes—
441#390C2318yes—
442#390C2318yes—
443#390C2318yes—
444#390C2318yes—
445#390C2318yes—
446#390C2318yes—
447#390C2318yescomplemented
448#390C2318yescomplemented
449#390C2318yescomplemented
450#389C2318yescomplemented
451#389C2318yescomplemented
452#389C2318yescomplemented
453#389C2318yescomplemented
454#389C2318yescomplemented
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#388C2318yescomplemented
468#388C2318yescomplemented
469#388C2318yescomplemented
470#388C2318yescomplemented
471#388C2318yescomplemented
472#388C2318yescomplemented
473#387C2318yescomplemented
474#387C2318yescomplemented
475#387C2318yescomplemented
476#387C2318yescomplemented
477#387C2318yescomplemented
478#387C2318yescomplemented
479#387C2318yescomplemented
480#386C2318yes—
481#386C2318yes—
482#386C2318yes—
483#386C2318yes—
484#386C2318yes—
485#386C2318yes—
486#386C2318yes—
487#386C2318yes—
488#386C2318yescomplemented
489#386C2318yescomplemented
490#386C2318yescomplemented
491#385C2318yes—
492#385C2318yes—
493#385C2318yes—
494#385C2318yes—
495#385C2318yes—
496#385C2318yes—
497#385C2318yes—
498#385C2318yes—
499#385C2318yescomplemented
500#385C2318yescomplemented
501#385C2318yescomplemented
502#385C2318yescomplemented
503#385C2318yescomplemented
504#385C2318yescomplemented
505#385C2318yescomplemented
506#383C2318yescomplemented
507#381C2318yescomplemented
508#380C2318yes—
509#380C2318yes—
510#380C2318yescomplemented
511#380C2318yescomplemented
512#380C2318yescomplemented
513#379C2318yes—
514#379C2318yes—
515#379C2318yes—
516#379C2318yes—
517C4×C4⋊C4C2318yescomplemented
518C4×C4⋊C4C2318yescomplemented
519C4×C4⋊C4C2318yescomplemented
520C4×C22⋊C4C2318yes—
521C4×C22⋊C4C2318yes—
522C4×C22⋊C4C2318yes—
523C4×C22⋊C4C2318yescomplemented
524C4×C22⋊C4C2318yescomplemented
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×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
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—42no—
573C25C2411yescharacteristic
574C25C2411yescharacteristic
575C25C2411yescharacteristic
576C25C2411yescharacteristic
577C25C2411yescharacteristic
578C25C2414yes—
579C25C2414yes—
580C25C2411yescharacteristic
581C22×Q8—24no—
582C22×Q8—24no—
583C22×Q8—42no—
584C22×Q8—42no—
585C22×Q8—42no—
586C22×Q8—42no—
587C22×Q8C2414yes—
588C22×Q8C2414yes—
589C22×D4—24no—
590C22×D4—24no—
591C22×D4—24no—
592C22×D4—24no—
593C22×D4—24no—
594C22×D4—24no—
595C22×D4—24no—
596C22×D4—232no—
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—416no—
611C22×D4—464no—
612C22×D4—42no—
613C22×D4—42no—
614C22×D4—42no—
615C22×D4—42no—
616C22×D4—42no—
617C22×D4—42no—
618C22×D4—42no—
619C22×D4#4118yes—
620C22×D4C2414yes—
621C22×D4C2414yes—
622C22×D4C2414yes—
623C22×D4C2414yes—
624C22×D4C2414yes—
625C22×D4C2414yes—
626C22×D4C2414yes—
627C22×D4C2414yes—
628C22×D4C2414yes—
629C23×C4—24no—
630C23×C4—24no—
631C23×C4—24no—
632C23×C4—24no—
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—42no—
643C23×C4—42no—
644C23×C4—42no—
645C23×C4—42no—
646C23×C4—42no—
647C23×C4—42no—
648C23×C4—42no—
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×C4C2414yes—
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2414yes—
680C23×C4C2414yes—
681C23×C4C2414yes—
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2414yes—
689C23×C4C2414yes—
690C23×C4C2414yes—
691C23×C4C2414yes—
692C23×C4C2414yes—
693C23×C4C2414yes—
694#126—416no—
695#126—416no—
696#124—416no—
697#124—416no—
698#123—232no—
699#123—416no—
700#123—416no—
701C22⋊Q8—232no—
702C22⋊Q8—416no—
703C22⋊Q8—416no—
704C22⋊Q8—416no—
705#121—232no—
706#121—416no—
707#120—232no—
708#120—416no—
709C4×Q8—416no—
710C4×D4—416no—
711C4×D4—416no—
712#117—416no—
713C2×C4⋊C4—24no—
714C2×C4⋊C4—24no—
715C2×C4⋊C4—24no—
716C2×C4⋊C4—24no—
717C2×C4⋊C4—24no—
718C2×C4⋊C4—24no—
719C2×C4⋊C4—24no—
720C2×C4⋊C4—24no—
721C2×C4⋊C4—24no—
722C2×C4⋊C4—24no—
723C2×C4⋊C4—24no—
724C2×C4⋊C4—24no—
725C2×C4⋊C4—42no—
726C2×C4⋊C4—42no—
727C2×C4⋊C4—42no—
728C2×C4⋊C4—42no—
729C2×C4⋊C4—416no—
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⋊C4C2414yes—
746C2×C4⋊C4C2414yes—
747C2×C4⋊C4C2414yes—
748C2×C4⋊C4C2414yes—
749C2×C4⋊C4C2414yes—
750C2×C4⋊C4C2414yes—
751C2×C4⋊C4C2414yes—
752C2×C4⋊C4C2414yes—
753C2×C4⋊C4C2414yes—
754C2×C4⋊C4C2414yes—
755C2×C4⋊C4C2414yes—
756C2×C4⋊C4C2414yes—
757C2×C4⋊C4C2414yes—
758C2×C4⋊C4C2414yes—
759C2×C4⋊C4C2414yes—
760C2×C4⋊C4C2414yes—
761C2×C4⋊C4C2414yes—
762C2×C4⋊C4C2414yes—
763C2×C4⋊C4C2414yes—
764C2×C4⋊C4C2414yes—
765C2×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×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—24no—
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—232no—
803C2×C22⋊C4—416no—
804C2×C22⋊C4—416no—
805C2×C22⋊C4—416no—
806C2×C22⋊C4—416no—
807C2×C22⋊C4—416no—
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—42no—
835C2×C22⋊C4—42no—
836C2×C22⋊C4—42no—
837C2×C22⋊C4#4118yes—
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×C42—24no—
895C2×C42—24no—
896C2×C42—24no—
897C2×C42—24no—
898C2×C42—416no—
899C2×C42—42no—
900C2×C42—42no—
901C2×C42—42no—
902C2×C42—42no—
903C2×C42—42no—
904C2×C42—42no—
905C2×C42—42no—
906C2×C42C2414yes—
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—28no—
972C24—28no—
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—28no—
991C24—28no—
992C24—28no—
993C24—28no—
994C24—28no—
995C24—28no—
996C24—44no—
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—
1013C24—88no—
1014C24—88no—
1015C24—88no—
1016C24C2×#4114yes—
1017C24C2×#4114yes—
1018C24C2×#4114yes—
1019C24H(5,𝔽2)14yes—
1020C242−1+414yes—
1021C24C2512yes—
1022C24C2512yes—
1023C24C2512yes—
1024C24C2512yes—
1025C24C2512yes—
1026C24C2512yes—
1027C24C2511yescharacteristic
1028C2×Q8—28no—
1029C2×Q8—28no—
1030C2×Q8—44no—
1031C2×Q8—44no—
1032C2×Q8—44no—
1033C2×Q8—44no—
1034C2×Q8—416no—
1035C2×Q8—88no—
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—44no—
1049C2×D4—416no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—416no—
1057C2×D4—416no—
1058C2×D4—416no—
1059C2×D4—4128no—
1060C2×D4—416no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—416no—
1069C2×D4—88no—
1070C2×D4—88no—
1071C2×D4—88no—
1072C2×D4C2×#41116yes—
1073C22×C4—232no—
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—28no—
1088C22×C4—28no—
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—28no—
1102C22×C4—28no—
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—28no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—28no—
1150C22×C4—28no—
1151C22×C4—28no—
1152C22×C4—28no—
1153C22×C4—28no—
1154C22×C4—28no—
1155C22×C4—28no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
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—416no—
1174C22×C4—416no—
1175C22×C4—416no—
1176C22×C4—88no—
1177C22×C4—88no—
1178C22×C4—88no—
1179C22×C4—88no—
1180C22×C4—88no—
1181C22×C4—88no—
1182C22×C4C2×#4114yes—
1183C22×C4C2×#4114yes—
1184C22×C4C2×#4114yes—
1185C22×C4H(5,𝔽2)14yes—
1186C22×C4H(5,𝔽2)14yes—
1187C22×C4H(5,𝔽2)14yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C4⋊C4—28no—
1214C4⋊C4—28no—
1215C4⋊C4—28no—
1216C4⋊C4—28no—
1217C4⋊C4—28no—
1218C4⋊C4—28no—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—28no—
1222C4⋊C4—28no—
1223C4⋊C4—28no—
1224C4⋊C4—28no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
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—
1244C22⋊C4—28no—
1245C22⋊C4—28no—
1246C22⋊C4—28no—
1247C22⋊C4—28no—
1248C22⋊C4—28no—
1249C22⋊C4—28no—
1250C22⋊C4—28no—
1251C22⋊C4—28no—
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—44no—
1271C22⋊C4—44no—
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⋊C4C2×#41116yes—
1300C42—28no—
1301C42—28no—
1302C42—28no—
1303C42—28no—
1304C42—44no—
1305C42—44no—
1306C42—44no—
1307C42—44no—
1308C42—44no—
1309C42—44no—
1310C42—44no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—28no—
1316C23—28no—
1317C23—28no—
1318C23—28no—
1319C23—28no—
1320C23—28no—
1321C23—22no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—28no—
1334C23—28no—
1335C23—28no—
1336C23—28no—
1337C23—28no—
1338C23—28no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—416no—
1361C23—416no—
1362C23—416no—
1363C23—416no—
1364C23—416no—
1365C23—416no—
1366C23—44no—
1367C23—44no—
1368C23—44no—
1369C23—44no—
1370C23—44no—
1371C23—44no—
1372C23—44no—
1373C23—44no—
1374C23—44no—
1375C23—416no—
1376C23—416no—
1377C23—44no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—44no—
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—88no—
1398C23—88no—
1399C23—88no—
1400C23—88no—
1401C23—88no—
1402C23—88no—
1403C23—864no—
1404C23—864no—
1405C23#542116yes—
1406C23C22×#4114yes—
1407C23C22×#4114yes—
1408C23C22×#4114yes—
1409C23C22×#4112yes—
1410C23C22×#4112yes—
1411C23C2×H(5,𝔽2)14yes—
1412C23C2×H(5,𝔽2)12yes—
1413C23C2×H(5,𝔽2)12yes—
1414C23C2×H(5,𝔽2)12yes—
1415C23C2×H(5,𝔽2)12yes—
1416C23C2×2−1+414yes—
1417C23C2×2−1+412yes—
1418C23C2611yescharacteristic
1419Q8—416no—
1420Q8—88no—
1421D4—416no—
1422D4—416no—
1423D4—416no—
1424D4—416no—
1425D4—416no—
1426D4—416no—
1427D4—88no—
1428D4—88no—
1429D4—88no—
1430C2×C4—232no—
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—28no—
1444C2×C4—28no—
1445C2×C4—28no—
1446C2×C4—28no—
1447C2×C4—28no—
1448C2×C4—28no—
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—416no—
1507C2×C4—416no—
1508C2×C4—416no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—44no—
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—88no—
1529C2×C4—88no—
1530C2×C4—88no—
1531C2×C4—88no—
1532C2×C4—88no—
1533C2×C4—88no—
1534C2×C4C22×#4114yes—
1535C2×C4C22×#4114yes—
1536C2×C4C22×#4114yes—
1537C2×C4C2×H(5,𝔽2)14yes—
1538C2×C4C2×H(5,𝔽2)14yes—
1539C2×C4C2×H(5,𝔽2)14yes—
1540C22—24no—
1541C22—24no—
1542C22—24no—
1543C22—24no—
1544C22—24no—
1545C22—232no—
1546C22—24no—
1547C22—24no—
1548C22—24no—
1549C22—24no—
1550C22—24no—
1551C22—24no—
1552C22—24no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—416no—
1560C22—416no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—832no—
1585C22—832no—
1586C22—88no—
1587C22—88no—
1588C22—88no—
1589C22C2×#54218yes—
1590C22C2×#54214yes—
1591C22#348114yes—
1592C22#349014yes—
1593C22#351914yes—
1594C22#352014yes—
1595C22#353614yes—
1596C22#354314yes—
1597C22C23×#4111yescharacteristic
1598C22C23×#4111yescharacteristic
1599C22C22×H(5,𝔽2)11yescharacteristic
1600C22C22×H(5,𝔽2)11yescharacteristic
1601C22C22×H(5,𝔽2)11yescharacteristic
1602C22C22×H(5,𝔽2)11yescharacteristic
1603C22C22×2−1+411yescharacteristic
1604C4—24no—
1605C4—24no—
1606C4—24no—
1607C4—24no—
1608C4—24no—
1609C4—24no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C2—28no—
1630C2—44no—
1631C2—44no—
1632C2—82no—
1633C2—82no—
1634C2—82no—
1635C2#3856618yesdirect product factor
1636C2C22×#54211yescharacteristic
1637C2C2×#348111yescharacteristic
1638C2C2×#353611yescharacteristic
1639C2C2×#354311yescharacteristic
1640C2C2×#349011yescharacteristic
1641C2C2×#351911yescharacteristic
1642C2C2×#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×#2800C2semidirect
2. C2×#2757C2semidirect
3. C2×#2737C2semidirect
4. C2×#2710C2semidirect
5. C2×#2705C2semidirect
6. C2×#2701C2semidirect
7. C2×#2692C2semidirect
8. C2×#2691C2semidirect
9. #38566C2direct (N × H)
10. C2×#2852C2semidirect
11. C2×#2583C2semidirect
12. C2×#2579C2semidirect
13. C2×#2479C2semidirect
14. C2×#2426C2semidirect
15. C2×#2458C2semidirect
16. C2×#2461C2semidirect
17. C2×#2480C2semidirect
18. C2×#2472C2semidirect
19. C2×#2472C2semidirect
20. C2×#2405C2semidirect
21. C2×#2418C2semidirect
22. C2×#2437C2semidirect
23. C2×#2437C2semidirect
25. C2×#2662C2semidirect
26. C2×#2651C2semidirect
27. C2×#2358C2semidirect
28. C2×#2342C2semidirect
29. C2×#2335C2semidirect
30. C2×#2324C2semidirect
31. C2×C4×C22⋊Q8C2semidirect
32. C22×#390C2semidirect
34. C22×#126C22semidirect
35. C22×#126C22semidirect
36. C22×#124C22semidirect
37. C22×#124C22semidirect
40. C22×#123C22semidirect
43. C22×C22⋊Q8C22semidirect
44. C22×C22⋊Q8C22semidirect
49. C22×C4×Q8C22semidirect
51. C22×C4×D4C22semidirect
52. C22×#117C22semidirect
61. #2852C22semidirect
62. #2800C22semidirect
63. #2757C22semidirect
64. #2737C22semidirect
65. #2710C22semidirect
66. #2705C22semidirect
67. #2701C22semidirect
68. #2692C22semidirect
69. #2691C22semidirect
70. #2662C22semidirect
71. #2651C22semidirect
72. #2583C22semidirect
73. #2579C22semidirect
74. #2480C22semidirect
75. #2479C22semidirect
76. #2472C22semidirect
77. #2472C22semidirect
78. #2461C22semidirect
79. #2458C22semidirect
80. #2437C22semidirect
81. #2437C22semidirect
82. #2426C22semidirect
83. #2418C22semidirect
85. #2405C22semidirect
86. C2×#399C22semidirect
87. C2×#399C22semidirect
88. C2×#399C22semidirect
89. C2×#398C22semidirect
90. C2×#398C22semidirect
91. C2×#398C22semidirect
92. C2×#398C22semidirect
93. C2×#397C22semidirect
94. C2×#397C22semidirect
95. C2×#397C22semidirect
96. C2×#397C22semidirect
97. C2×#397C22semidirect
98. C2×#397C22semidirect
99. C2×#396C22semidirect
100. C2×#396C22semidirect
101. C2×#396C22semidirect
102. C2×#396C22semidirect
103. C2×#396C22semidirect
104. C2×#396C22semidirect
105. C2×#396C22semidirect
106. C2×#395C22semidirect
107. C2×#395C22semidirect
114. C2×#394C22semidirect
115. C2×#394C22semidirect
116. C2×#394C22semidirect
117. C2×#394C22semidirect
118. C2×#394C22semidirect
119. C2×#394C22semidirect
120. C2×#393C22semidirect
121. C2×#393C22semidirect
122. C2×#393C22semidirect
123. C2×#393C22semidirect
126. #2358C22semidirect
127. #2342C22semidirect
128. #2335C22semidirect
129. #2324C22semidirect
130. C4×C22⋊Q8C22semidirect
131. C2×#391C22semidirect
140. C2×#390C22semidirect
141. C2×#390C22semidirect
142. C2×#390C22semidirect
143. C2×#390C22semidirect
144. C2×#389C22semidirect
145. C2×#389C22semidirect
146. C2×#389C22semidirect
147. C2×#389C22semidirect
148. C2×#389C22semidirect
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×#387C22semidirect
168. C2×#387C22semidirect
169. C2×#387C22semidirect
170. C2×#387C22semidirect
171. C2×#387C22semidirect
172. C2×#387C22semidirect
173. C2×#387C22semidirect
182. C2×#386C22semidirect
183. C2×#386C22semidirect
184. C2×#386C22semidirect
193. C2×#385C22semidirect
194. C2×#385C22semidirect
195. C2×#385C22semidirect
196. C2×#385C22semidirect
197. C2×#385C22semidirect
198. C2×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#383C22semidirect
201. C2×#381C22semidirect
204. C2×#380C22semidirect
205. C2×#380C22semidirect
206. C2×#380C22semidirect
211. C2×C4×C4⋊C4C22semidirect
212. C2×C4×C4⋊C4C22semidirect
213. C2×C4×C4⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
248. C2×#126C23semidirect
249. C2×#126C23semidirect
252. C2×#124C23semidirect
253. C2×#124C23semidirect
259. C2×#123C23semidirect
266. C2×C22⋊Q8C23semidirect
267. C2×C22⋊Q8C23semidirect
277. C2×C4×Q8C23semidirect
281. C2×C4×D4C23semidirect
283. C2×#117C23semidirect
398. #399C23semidirect
399. #399C23semidirect
400. #399C23semidirect
401. #398C23semidirect
402. #398C23semidirect
403. #398C23semidirect
404. #398C23semidirect
405. #397C23semidirect
406. #397C23semidirect
407. #397C23semidirect
408. #397C23semidirect
409. #397C23semidirect
410. #397C23semidirect
411. #396C23semidirect
412. #396C23semidirect
413. #396C23semidirect
414. #396C23semidirect
415. #396C23semidirect
416. #396C23semidirect
417. #396C23semidirect
418. #395C23semidirect
419. #395C23semidirect
426. #394C23semidirect
427. #394C23semidirect
428. #394C23semidirect
429. #394C23semidirect
430. #394C23semidirect
431. #394C23semidirect
432. #393C23semidirect
433. #393C23semidirect
434. #393C23semidirect
435. #393C23semidirect
438. #391C23semidirect
447. #390C23semidirect
448. #390C23semidirect
449. #390C23semidirect
450. #389C23semidirect
451. #389C23semidirect
452. #389C23semidirect
453. #389C23semidirect
454. #389C23semidirect
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. #388C23semidirect
468. #388C23semidirect
469. #388C23semidirect
470. #388C23semidirect
471. #388C23semidirect
472. #388C23semidirect
473. #387C23semidirect
474. #387C23semidirect
475. #387C23semidirect
476. #387C23semidirect
477. #387C23semidirect
478. #387C23semidirect
479. #387C23semidirect
488. #386C23semidirect
489. #386C23semidirect
490. #386C23semidirect
499. #385C23semidirect
500. #385C23semidirect
501. #385C23semidirect
502. #385C23semidirect
503. #385C23semidirect
504. #385C23semidirect
505. #385C23semidirect
506. #383C23semidirect
507. #381C23semidirect
510. #380C23semidirect
511. #380C23semidirect
512. #380C23semidirect
517. C4×C4⋊C4C23semidirect
518. C4×C4⋊C4C23semidirect
519. C4×C4⋊C4C23semidirect
523. C4×C22⋊C4C23semidirect
524. C4×C22⋊C4C23semidirect
1635. C2#38566direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#28002
C2×#27572
C2×#27372
C2×#27102
C2×#27052
C2×#27012
C2×#26922
C2×#26912
#385662
C2×#28522
C2×#25832
C2×#25792
C2×#24792
C2×#24262
C2×#24582
C2×#24612
C2×#24802
C2×#24722
C2×#24052
C2×#24182
C2×#24372
C2×#24102
C2×#26622
C2×#26512
C2×#23582
C2×#23422
C2×#23352
C2×#23242
C2×C4×C22⋊Q82
C22×#3902