Finite Group Databasebeta

← C2×#38564 #7635753

Subgroups — C2×#38564 #7635753

Order 512.

8718 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2803C211yesmaximal, characteristic, complemented
2C2×#2780C211yesmaximal, characteristic, complemented
3C2×#2756C211yesmaximal, characteristic, complemented
4C2×#2749C211yesmaximal, characteristic, complemented
5C2×#2714C211yesmaximal, characteristic, complemented
6C2×#2714C211yesmaximal, characteristic, complemented
7C2×#2685C211yesmaximal, characteristic, complemented
8C2×#2678C211yesmaximal, characteristic, complemented
9#38564C2132yesmaximal, direct product factor
10C2×#2852C211yesmaximal, characteristic, complemented
11C2×#2597C211yesmaximal, characteristic, complemented
12C2×#2591C211yesmaximal, characteristic, complemented
13C2×#2579C211yesmaximal, characteristic, complemented
14C2×#2554C211yesmaximal, characteristic, complemented
15C2×#2480C211yesmaximal, characteristic, complemented
16C2×#2412C211yesmaximal, characteristic, complemented
17C2×#2456C211yesmaximal, characteristic, complemented
18C2×#2424C211yesmaximal, characteristic, complemented
19C2×#2424C211yesmaximal, characteristic, complemented
20C2×#2424C211yesmaximal, characteristic, complemented
21C2×#2418C211yesmaximal, characteristic, complemented
22C2×#2410C211yesmaximal, characteristic, complemented
23C2×#2410C211yesmaximal, characteristic, complemented
24C2×#2403C211yesmaximal, characteristic, complemented
25C2×#2661C211yesmaximal, characteristic, complemented
26C2×#2648C211yesmaximal, characteristic, complemented
27C2×#2358C211yesmaximal, characteristic, complemented
28C2×D4×C22⋊C4C211yesmaximal, characteristic, complemented
29C2×#2333C211yesmaximal, characteristic, complemented
30C2×#2321C211yesmaximal, characteristic, complemented
31C2×C4×#121C211yesmaximal, characteristic, complemented
32C22×#390C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C24×D4C2211yescharacteristic
35C22×#126C2211yescharacteristic, complemented
36C22×#126C2211yescharacteristic, complemented
37C22×#123C2211yescharacteristic, complemented
38C22×#123C2211yescharacteristic, complemented
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C22×#121C2211yescharacteristic, complemented
43C22×#121C2211yescharacteristic, complemented
44C22×#121C2211yescharacteristic, complemented
45C22×#120C2211yescharacteristic
46C22×#120C2211yescharacteristic
47C22×#120C2211yescharacteristic
48C22×#120C2211yescharacteristic
49C22×#120C2211yescharacteristic
50C22×#120C2211yescharacteristic, complemented
51C22×#120C2211yescharacteristic, complemented
52C22×C4×D4C2211yescharacteristic
53C22×C4×D4C2211yescharacteristic
54C22×C4×D4C2211yescharacteristic, complemented
55C22×C4×D4C2211yescharacteristic, complemented
56C22×C4×D4C2211yescharacteristic, complemented
57C23×C4⋊C4C2211yescharacteristic, complemented
58C23×C22⋊C4C2211yescharacteristic
59C23×C22⋊C4C2211yescharacteristic
60C23×C22⋊C4C2211yescharacteristic, complemented
61C23×C22⋊C4C2211yescharacteristic, complemented
62C23×C22⋊C4C2211yescharacteristic, complemented
63C23×C22⋊C4C2211yescharacteristic, complemented
64C23×C42C2211yescharacteristic, complemented
65#2852C22116yescomplemented
66#2803C22116yescomplemented
67#2780C22116yescomplemented
68#2756C22116yescomplemented
69#2749C22116yescomplemented
70#2714C22116yescomplemented
71#2714C22116yescomplemented
72#2685C22116yescomplemented
73#2678C22116yescomplemented
74#2661C22116yescomplemented
75#2648C22116yescomplemented
76#2597C22116yescomplemented
77#2591C22116yescomplemented
78#2579C22116yescomplemented
79#2554C22116yescomplemented
80#2480C22116yescomplemented
81#2456C22116yescomplemented
82#2424C22116yescomplemented
83#2424C22116yescomplemented
84#2424C22116yescomplemented
85#2418C22116yescomplemented
86#2412C22116yescomplemented
87#2410C22116yescomplemented
88#2410C22116yescomplemented
89#2403C22116yescomplemented
90C2×#400C2211yescharacteristic, complemented
91C2×#400C2211yescharacteristic, complemented
92C2×#399C2211yescharacteristic, complemented
93C2×#398C2211yescharacteristic, complemented
94C2×#398C2211yescharacteristic, complemented
95C2×#397C2211yescharacteristic, complemented
96C2×#397C2211yescharacteristic, complemented
97C2×#397C2211yescharacteristic, complemented
98C2×#397C2211yescharacteristic, complemented
99C2×#397C2211yescharacteristic, complemented
100C2×#397C2211yescharacteristic, complemented
101C2×#396C2211yescharacteristic, complemented
102C2×#396C2211yescharacteristic, complemented
103C2×#396C2211yescharacteristic, complemented
104C2×#396C2211yescharacteristic, complemented
105C2×#396C2211yescharacteristic, complemented
106C2×#394C2211yescharacteristic
107C2×#394C2211yescharacteristic, complemented
108C2×#394C2211yescharacteristic, complemented
109C2×#394C2211yescharacteristic, complemented
110C2×#394C2211yescharacteristic, complemented
111C2×#394C2211yescharacteristic, complemented
112C2×#394C2211yescharacteristic, complemented
113C2×#394C2211yescharacteristic, complemented
114C2×#394C2211yescharacteristic, complemented
115C2×#394C2211yescharacteristic, complemented
116C2×#394C2211yescharacteristic, complemented
117C2×#394C2211yescharacteristic, complemented
118C2×#394C2211yescharacteristic, complemented
119C2×#394C2211yescharacteristic, complemented
120C2×#392C2211yescharacteristic
121C2×#392C2211yescharacteristic
122C2×#392C2211yescharacteristic
123C2×#392C2211yescharacteristic
124C2×#392C2211yescharacteristic
125C2×#392C2211yescharacteristic, complemented
126C2×#392C2211yescharacteristic, complemented
127C2×#392C2211yescharacteristic, complemented
128C2×#392C2211yescharacteristic, complemented
129C2×#392C2211yescharacteristic, complemented
130#2358C22116yescomplemented
131D4×C22⋊C4C22116yescomplemented
132#2333C22116yescomplemented
133#2321C22116yescomplemented
134C4×#121C22116yescomplemented
135C2×#390C2211yescharacteristic
136C2×#390C2211yescharacteristic
137C2×#390C2211yescharacteristic
138C2×#390C2211yescharacteristic
139C2×#390C2211yescharacteristic, complemented
140C2×#390C2211yescharacteristic, complemented
141C2×#390C2211yescharacteristic, complemented
142C2×#390C2211yescharacteristic, complemented
143C2×#390C2211yescharacteristic, complemented
144C2×#390C2211yescharacteristic, complemented
145C2×#390C2211yescharacteristic, complemented
146C2×#390C2211yescharacteristic, complemented
147C2×#390C2211yescharacteristic, complemented
148C2×#390C2211yescharacteristic, complemented
149C2×#390C22116yescomplemented
150C2×#389C2211yescharacteristic, 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×#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
183C2×#386C2211yescharacteristic, complemented
184C2×#386C2211yescharacteristic, complemented
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×#386C2211yescharacteristic, complemented
194C2×#386C2211yescharacteristic, complemented
195C2×#385C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic, complemented
197C2×#385C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#383C2211yescharacteristic, complemented
205C2×#381C2211yescharacteristic, complemented
206C2×#380C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic, complemented
209C2×#379C2211yescharacteristic
210C2×#379C2211yescharacteristic
211C2×#379C2211yescharacteristic, complemented
212C2×#379C2211yescharacteristic, complemented
213C2×C4×C4⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C26C2311yescharacteristic
222C23×D4—28no—
223C23×D4—28no—
224C23×D4—44no—
225C23×D4—44no—
226C23×D4—44no—
227C23×D4—44no—
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2318yes—
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2318yes—
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C23×D4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259C24×C4C2311yescharacteristic
260C2×#126—44no—
261C2×#126—44no—
262C2×#126C2318yescomplemented
263C2×#126C2318yescomplemented
264C2×#123—44no—
265C2×#123—44no—
266C2×#123C2318yescomplemented
267C2×#123C2318yescomplemented
268C2×#121—28no—
269C2×#121—28no—
270C2×#121—44no—
271C2×#121—44no—
272C2×#121—44no—
273C2×#121—44no—
274C2×#121C2318yes—
275C2×#121C2318yes—
276C2×#121C2318yes—
277C2×#121C2318yescomplemented
278C2×#121C2318yescomplemented
279C2×#121C2318yescomplemented
280C2×#120—28no—
281C2×#120—28no—
282C2×#120—44no—
283C2×#120—44no—
284C2×#120—44no—
285C2×#120—44no—
286C2×#120—44no—
287C2×#120C2318yes—
288C2×#120C2318yes—
289C2×#120C2318yes—
290C2×#120C2318yes—
291C2×#120C2318yes—
292C2×#120C2318yescomplemented
293C2×#120C2318yescomplemented
294C2×C4×D4—44no—
295C2×C4×D4—44no—
296C2×C4×D4—44no—
297C2×C4×D4—44no—
298C2×C4×D4—44no—
299C2×C4×D4C2318yes—
300C2×C4×D4C2318yes—
301C2×C4×D4C2318yescomplemented
302C2×C4×D4C2318yescomplemented
303C2×C4×D4C2318yescomplemented
304C22×C4⋊C4—44no—
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C4⋊C4C2311yescharacteristic
326C22×C4⋊C4C2318yescomplemented
327C22×C22⋊C4—44no—
328C22×C22⋊C4—44no—
329C22×C22⋊C4—44no—
330C22×C22⋊C4—44no—
331C22×C22⋊C4—44no—
332C22×C22⋊C4—44no—
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⋊C4C2318yes—
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×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2318yes—
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2318yescomplemented
398C22×C22⋊C4C2318yescomplemented
399C22×C22⋊C4C2318yescomplemented
400C22×C22⋊C4C2318yescomplemented
401C22×C42—44no—
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2318yescomplemented
412#400C2318yescomplemented
413#400C2318yescomplemented
414#399C2318yescomplemented
415#398C2318yescomplemented
416#398C2318yescomplemented
417#397C2318yescomplemented
418#397C2318yescomplemented
419#397C2318yescomplemented
420#397C2318yescomplemented
421#397C2318yescomplemented
422#397C2318yescomplemented
423#396C2318yescomplemented
424#396C2318yescomplemented
425#396C2318yescomplemented
426#396C2318yescomplemented
427#396C2318yescomplemented
428#394C2318yes—
429#394C2318yescomplemented
430#394C2318yescomplemented
431#394C2318yescomplemented
432#394C2318yescomplemented
433#394C2318yescomplemented
434#394C2318yescomplemented
435#394C2318yescomplemented
436#394C2318yescomplemented
437#394C2318yescomplemented
438#394C2318yescomplemented
439#394C2318yescomplemented
440#394C2318yescomplemented
441#394C2318yescomplemented
442#392C2318yes—
443#392C2318yes—
444#392C2318yes—
445#392C2318yes—
446#392C2318yes—
447#392C2318yescomplemented
448#392C2318yescomplemented
449#392C2318yescomplemented
450#392C2318yescomplemented
451#392C2318yescomplemented
452#390C2318yes—
453#390C2318yes—
454#390C2318yes—
455#390C2318yes—
456#390C2318yescomplemented
457#390C2318yescomplemented
458#390C2318yescomplemented
459#390C2318yescomplemented
460#390C2318yescomplemented
461#390C2318yescomplemented
462#390C2318yescomplemented
463#390C2318yescomplemented
464#390C2318yescomplemented
465#390C2318yescomplemented
466#389C2318yescomplemented
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#388C2318yescomplemented
481#388C2318yescomplemented
482#388C2318yescomplemented
483#388C2318yescomplemented
484#388C2318yescomplemented
485#387C2318yescomplemented
486#387C2318yescomplemented
487#387C2318yescomplemented
488#387C2318yescomplemented
489#387C2318yescomplemented
490#386C2318yes—
491#386C2318yes—
492#386C2318yes—
493#386C2318yes—
494#386C2318yes—
495#386C2318yes—
496#386C2318yes—
497#386C2318yes—
498#386C2318yes—
499#386C2318yescomplemented
500#386C2318yescomplemented
501#386C2318yescomplemented
502#386C2318yescomplemented
503#386C2318yescomplemented
504#386C2318yescomplemented
505#386C2318yescomplemented
506#386C2318yescomplemented
507#386C2318yescomplemented
508#386C2318yescomplemented
509#386C2318yescomplemented
510#386C2318yescomplemented
511#385C2318yescomplemented
512#385C2318yescomplemented
513#385C2318yescomplemented
514#385C2318yescomplemented
515#385C2318yescomplemented
516#385C2318yescomplemented
517#385C2318yescomplemented
518#385C2318yescomplemented
519#385C2318yescomplemented
520#383C2318yescomplemented
521#381C2318yescomplemented
522#380C2318yescomplemented
523#380C2318yescomplemented
524#380C2318yescomplemented
525#379C2318yes—
526#379C2318yes—
527#379C2318yescomplemented
528#379C2318yescomplemented
529C4×C4⋊C4C2318yescomplemented
530C4×C22⋊C4C2318yescomplemented
531C4×C22⋊C4C2318yescomplemented
532C4×C22⋊C4C2318yescomplemented
533C4×C22⋊C4C2318yescomplemented
534C4×C22⋊C4C2318yescomplemented
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
559C2×#95C2311yescharacteristic
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C25—24no—
566C25—24no—
567C25—24no—
568C25—24no—
569C25—24no—
570C25—24no—
571C25—24no—
572C25—24no—
573C25—24no—
574C25—24no—
575C25—42no—
576C25—42no—
577C25—42no—
578C25—42no—
579C25—42no—
580C25—42no—
581C25—42no—
582C25—42no—
583C25—42no—
584C25—42no—
585C25—42no—
586C25C2411yescharacteristic
587C25C2411yescharacteristic
588C25C2411yescharacteristic
589C25C2411yescharacteristic
590C25C2411yescharacteristic
591C25C2411yescharacteristic
592C25C2411yescharacteristic
593C25C2414yes—
594C25C2414yes—
595C25C2411yescharacteristic
596C25C2414yes—
597C22×D4—24no—
598C22×D4—24no—
599C22×D4—24no—
600C22×D4—24no—
601C22×D4—24no—
602C22×D4—24no—
603C22×D4—24no—
604C22×D4—24no—
605C22×D4—24no—
606C22×D4—24no—
607C22×D4—24no—
608C22×D4—24no—
609C22×D4—24no—
610C22×D4—24no—
611C22×D4—24no—
612C22×D4—24no—
613C22×D4—24no—
614C22×D4—24no—
615C22×D4—232no—
616C22×D4—232no—
617C22×D4—24no—
618C22×D4—24no—
619C22×D4—24no—
620C22×D4—24no—
621C22×D4—24no—
622C22×D4—416no—
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—42no—
635C22×D4—42no—
636C22×D4—464no—
637C22×D4—42no—
638C22×D4—42no—
639C22×D4—42no—
640C22×D4—42no—
641C22×D4—42no—
642C22×D4—42no—
643C22×D4—42no—
644C22×D4—42no—
645C22×D4—42no—
646C22×D4—42no—
647C22×D4—42no—
648C22×D4—42no—
649C22×D4—42no—
650C22×D4—42no—
651C22×D4—42no—
652C22×D4—42no—
653C22×D4—42no—
654C22×D4—42no—
655C22×D4—42no—
656C22×D4—42no—
657C22×D4—416no—
658C22×D4—416no—
659C22×D4—464no—
660C22×D4#4118yes—
661C22×D4#4118yes—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2414yes—
668C22×D4C2414yes—
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2414yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C23×C4—24no—
682C23×C4—24no—
683C23×C4—24no—
684C23×C4—24no—
685C23×C4—24no—
686C23×C4—24no—
687C23×C4—24no—
688C23×C4—24no—
689C23×C4—24no—
690C23×C4—24no—
691C23×C4—24no—
692C23×C4—24no—
693C23×C4—24no—
694C23×C4—42no—
695C23×C4—42no—
696C23×C4—42no—
697C23×C4—42no—
698C23×C4—42no—
699C23×C4—42no—
700C23×C4—42no—
701C23×C4—42no—
702C23×C4—42no—
703C23×C4—42no—
704C23×C4—42no—
705C23×C4—42no—
706C23×C4—42no—
707C23×C4—42no—
708C23×C4—42no—
709C23×C4—42no—
710C23×C4—42no—
711C23×C4—42no—
712C23×C4—42no—
713C23×C4—42no—
714C23×C4C2414yes—
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2414yes—
734C23×C4C2414yes—
735C23×C4C2411yescharacteristic
736C23×C4C2411yescharacteristic
737C23×C4C2411yescharacteristic
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2414yes—
741C23×C4C2414yes—
742C23×C4C2414yes—
743C23×C4C2414yes—
744C23×C4C2414yes—
745C23×C4C2414yes—
746C23×C4C2414yes—
747C23×C4C2414yes—
748#126—416no—
749#126—416no—
750#123—416no—
751#123—416no—
752#121—232no—
753#121—232no—
754#121—416no—
755#121—416no—
756#121—416no—
757#121—416no—
758#120—232no—
759#120—232no—
760#120—416no—
761#120—416no—
762#120—416no—
763#120—416no—
764#120—416no—
765C4×D4—416no—
766C4×D4—416no—
767C4×D4—416no—
768C4×D4—416no—
769C4×D4—416no—
770C2×C4⋊C4—24no—
771C2×C4⋊C4—24no—
772C2×C4⋊C4—24no—
773C2×C4⋊C4—24no—
774C2×C4⋊C4—24no—
775C2×C4⋊C4—24no—
776C2×C4⋊C4—42no—
777C2×C4⋊C4—42no—
778C2×C4⋊C4—42no—
779C2×C4⋊C4—42no—
780C2×C4⋊C4—416no—
781C2×C4⋊C4—42no—
782C2×C4⋊C4—42no—
783C2×C4⋊C4—42no—
784C2×C4⋊C4—42no—
785C2×C4⋊C4—42no—
786C2×C4⋊C4—42no—
787C2×C4⋊C4—42no—
788C2×C4⋊C4—42no—
789C2×C4⋊C4—42no—
790C2×C4⋊C4—42no—
791C2×C4⋊C4—42no—
792C2×C4⋊C4C2414yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C22⋊C4—24no—
814C2×C22⋊C4—24no—
815C2×C22⋊C4—24no—
816C2×C22⋊C4—24no—
817C2×C22⋊C4—24no—
818C2×C22⋊C4—24no—
819C2×C22⋊C4—24no—
820C2×C22⋊C4—24no—
821C2×C22⋊C4—24no—
822C2×C22⋊C4—24no—
823C2×C22⋊C4—24no—
824C2×C22⋊C4—24no—
825C2×C22⋊C4—24no—
826C2×C22⋊C4—24no—
827C2×C22⋊C4—24no—
828C2×C22⋊C4—24no—
829C2×C22⋊C4—24no—
830C2×C22⋊C4—24no—
831C2×C22⋊C4—24no—
832C2×C22⋊C4—24no—
833C2×C22⋊C4—24no—
834C2×C22⋊C4—24no—
835C2×C22⋊C4—24no—
836C2×C22⋊C4—24no—
837C2×C22⋊C4—24no—
838C2×C22⋊C4—24no—
839C2×C22⋊C4—24no—
840C2×C22⋊C4—416no—
841C2×C22⋊C4—416no—
842C2×C22⋊C4—416no—
843C2×C22⋊C4—416no—
844C2×C22⋊C4—416no—
845C2×C22⋊C4—416no—
846C2×C22⋊C4—42no—
847C2×C22⋊C4—42no—
848C2×C22⋊C4—42no—
849C2×C22⋊C4—42no—
850C2×C22⋊C4—42no—
851C2×C22⋊C4—42no—
852C2×C22⋊C4—42no—
853C2×C22⋊C4—42no—
854C2×C22⋊C4—42no—
855C2×C22⋊C4—42no—
856C2×C22⋊C4—42no—
857C2×C22⋊C4—42no—
858C2×C22⋊C4—42no—
859C2×C22⋊C4—42no—
860C2×C22⋊C4—42no—
861C2×C22⋊C4—42no—
862C2×C22⋊C4—42no—
863C2×C22⋊C4—42no—
864C2×C22⋊C4—42no—
865C2×C22⋊C4—42no—
866C2×C22⋊C4—42no—
867C2×C22⋊C4—42no—
868C2×C22⋊C4—42no—
869C2×C22⋊C4—42no—
870C2×C22⋊C4—42no—
871C2×C22⋊C4—42no—
872C2×C22⋊C4—42no—
873C2×C22⋊C4—42no—
874C2×C22⋊C4—42no—
875C2×C22⋊C4—42no—
876C2×C22⋊C4—42no—
877C2×C22⋊C4—42no—
878C2×C22⋊C4—42no—
879C2×C22⋊C4—42no—
880C2×C22⋊C4—42no—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C42—24no—
944C2×C42—24no—
945C2×C42—416no—
946C2×C42—42no—
947C2×C42—42no—
948C2×C42—42no—
949C2×C42—42no—
950C2×C42—42no—
951C2×C42—42no—
952C2×C42—42no—
953C2×C42C2414yes—
954C2×C42C2414yes—
955C2×C42C2414yes—
956C2×C42C2414yes—
957C2×C42C2414yes—
958C2×C42C2414yes—
959C2×C42C2414yes—
960C2×C42C2414yes—
961C2×C42C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992C24—22no—
993C24—22no—
994C24—22no—
995C24—22no—
996C24—22no—
997C24—22no—
998C24—22no—
999C24—22no—
1000C24—22no—
1001C24—22no—
1002C24—22no—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—22no—
1007C24—22no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—22no—
1013C24—22no—
1014C24—22no—
1015C24—22no—
1016C24—22no—
1017C24—22no—
1018C24—28no—
1019C24—28no—
1020C24—22no—
1021C24—22no—
1022C24—22no—
1023C24—22no—
1024C24—22no—
1025C24—22no—
1026C24—22no—
1027C24—22no—
1028C24—22no—
1029C24—22no—
1030C24—22no—
1031C24—22no—
1032C24—22no—
1033C24—22no—
1034C24—22no—
1035C24—22no—
1036C24—22no—
1037C24—22no—
1038C24—22no—
1039C24—22no—
1040C24—22no—
1041C24—22no—
1042C24—22no—
1043C24—22no—
1044C24—28no—
1045C24—28no—
1046C24—28no—
1047C24—28no—
1048C24—28no—
1049C24—28no—
1050C24—28no—
1051C24—28no—
1052C24—44no—
1053C24—44no—
1054C24—44no—
1055C24—44no—
1056C24—44no—
1057C24—44no—
1058C24—44no—
1059C24—44no—
1060C24—44no—
1061C24—44no—
1062C24—44no—
1063C24—416no—
1064C24—416no—
1065C24—416no—
1066C24—416no—
1067C24—416no—
1068C24—416no—
1069C24—416no—
1070C24—416no—
1071C24—416no—
1072C24—416no—
1073C24—88no—
1074C24—88no—
1075C24—88no—
1076C24—88no—
1077C24—88no—
1078C24—88no—
1079C24—88no—
1080C24—88no—
1081C24—88no—
1082C24—88no—
1083C24—88no—
1084C24C2×#4114yes—
1085C24C2×#4114yes—
1086C24C2×#4114yes—
1087C24C2×#4114yes—
1088C24H(5,𝔽2)14yes—
1089C24H(5,𝔽2)14yes—
1090C24C2512yes—
1091C24C2512yes—
1092C24C2512yes—
1093C24C2512yes—
1094C24C2512yes—
1095C24C2512yes—
1096C24C2512yes—
1097C24C2512yes—
1098C24C2511yescharacteristic
1099C2×D4—232no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—28no—
1106C2×D4—28no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—416no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—416no—
1137C2×D4—416no—
1138C2×D4—416no—
1139C2×D4—4128no—
1140C2×D4—416no—
1141C2×D4—416no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—4128no—
1163C2×D4—416no—
1164C2×D4—416no—
1165C2×D4—416no—
1166C2×D4—416no—
1167C2×D4—88no—
1168C2×D4—88no—
1169C2×D4—88no—
1170C2×D4—88no—
1171C2×D4—88no—
1172C2×D4—88no—
1173C2×D4—88no—
1174C2×D4—88no—
1175C2×D4C2×#41116yes—
1176C2×D4C2×#41116yes—
1177C22×C4—232no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—28no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—28no—
1190C22×C4—28no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—28no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
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—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—416no—
1276C22×C4—416no—
1277C22×C4—416no—
1278C22×C4—88no—
1279C22×C4—88no—
1280C22×C4—88no—
1281C22×C4—88no—
1282C22×C4—88no—
1283C22×C4—88no—
1284C22×C4—88no—
1285C22×C4C2×#4114yes—
1286C22×C4C2×#4114yes—
1287C22×C4H(5,𝔽2)14yes—
1288C22×C4H(5,𝔽2)14yes—
1289C22×C4H(5,𝔽2)14yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—28no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C42—28no—
1397C42—28no—
1398C42—44no—
1399C42—44no—
1400C42—44no—
1401C42—44no—
1402C42—44no—
1403C42—44no—
1404C42—44no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—28no—
1410C23—28no—
1411C23—28no—
1412C23—28no—
1413C23—28no—
1414C23—28no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—28no—
1434C23—28no—
1435C23—28no—
1436C23—28no—
1437C23—28no—
1438C23—28no—
1439C23—28no—
1440C23—28no—
1441C23—28no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—416no—
1471C23—416no—
1472C23—416no—
1473C23—416no—
1474C23—416no—
1475C23—416no—
1476C23—416no—
1477C23—416no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—44no—
1488C23—44no—
1489C23—44no—
1490C23—416no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—416no—
1495C23—44no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—88no—
1521C23—88no—
1522C23—88no—
1523C23—88no—
1524C23—88no—
1525C23—88no—
1526C23—88no—
1527C23—88no—
1528C23—88no—
1529C23—864no—
1530C23—864no—
1531C23—88no—
1532C23—88no—
1533C23—864no—
1534C23#538116yes—
1535C23C22×#4114yes—
1536C23C22×#4114yes—
1537C23C22×#4114yes—
1538C23C22×#4114yes—
1539C23C22×#4112yes—
1540C23C22×#4112yes—
1541C23C2×H(5,𝔽2)14yes—
1542C23C2×H(5,𝔽2)14yes—
1543C23C2×H(5,𝔽2)12yes—
1544C23C2×H(5,𝔽2)12yes—
1545C23C2×H(5,𝔽2)12yes—
1546C23C2×H(5,𝔽2)12yes—
1547C23C2×H(5,𝔽2)12yes—
1548C23C2611yescharacteristic
1549D4—232no—
1550D4—416no—
1551D4—416no—
1552D4—416no—
1553D4—416no—
1554D4—416no—
1555D4—416no—
1556D4—416no—
1557D4—416no—
1558D4—416no—
1559D4—416no—
1560D4—88no—
1561D4—88no—
1562D4—88no—
1563D4—88no—
1564D4—88no—
1565D4—88no—
1566D4—88no—
1567D4—88no—
1568C2×C4—232no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—28no—
1580C2×C4—28no—
1581C2×C4—28no—
1582C2×C4—28no—
1583C2×C4—28no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—416no—
1639C2×C4—416no—
1640C2×C4—416no—
1641C2×C4—44no—
1642C2×C4—44no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—88no—
1660C2×C4—88no—
1661C2×C4—88no—
1662C2×C4—88no—
1663C2×C4—88no—
1664C2×C4—88no—
1665C2×C4—88no—
1666C2×C4C22×#4114yes—
1667C2×C4C22×#4114yes—
1668C2×C4C2×H(5,𝔽2)14yes—
1669C2×C4C2×H(5,𝔽2)14yes—
1670C2×C4C2×H(5,𝔽2)14yes—
1671C22—24no—
1672C22—24no—
1673C22—24no—
1674C22—24no—
1675C22—24no—
1676C22—232no—
1677C22—24no—
1678C22—24no—
1679C22—24no—
1680C22—24no—
1681C22—24no—
1682C22—24no—
1683C22—24no—
1684C22—24no—
1685C22—24no—
1686C22—24no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—416no—
1698C22—416no—
1699C22—416no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—832no—
1731C22—832no—
1732C22—832no—
1733C22—88no—
1734C22—88no—
1735C22—88no—
1736C22—88no—
1737C22C2×#53818yes—
1738C22C2×#53814yes—
1739C22#348114yes—
1740C22#349014yes—
1741C22#351914yes—
1742C22#351914yes—
1743C22#353714yes—
1744C22#354314yes—
1745C22C23×#4111yescharacteristic
1746C22C23×#4111yescharacteristic
1747C22C22×H(5,𝔽2)11yescharacteristic
1748C22C22×H(5,𝔽2)11yescharacteristic
1749C22C22×H(5,𝔽2)11yescharacteristic
1750C22C22×H(5,𝔽2)11yescharacteristic
1751C22C22×H(5,𝔽2)11yescharacteristic
1752C4—24no—
1753C4—24no—
1754C4—24no—
1755C4—24no—
1756C4—24no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—42no—
1761C4—42no—
1762C4—42no—
1763C4—42no—
1764C4—42no—
1765C4—42no—
1766C4—42no—
1767C4—42no—
1768C4—42no—
1769C4—42no—
1770C4—42no—
1771C4—42no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C2—28no—
1776C2—44no—
1777C2—44no—
1778C2—44no—
1779C2—82no—
1780C2—82no—
1781C2—82no—
1782C2—82no—
1783C2#3856418yesdirect product factor
1784C2C22×#53811yescharacteristic
1785C2C2×#348111yescharacteristic
1786C2C2×#353711yescharacteristic
1787C2C2×#354311yescharacteristic
1788C2C2×#349011yescharacteristic
1789C2C2×#351911yescharacteristic
1790C2C2×#351911yescharacteristic
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×#2780C2semidirect
3. C2×#2756C2semidirect
4. C2×#2749C2semidirect
5. C2×#2714C2semidirect
6. C2×#2714C2semidirect
7. C2×#2685C2semidirect
8. C2×#2678C2semidirect
9. #38564C2direct (N × H)
10. C2×#2852C2semidirect
11. C2×#2597C2semidirect
12. C2×#2591C2semidirect
13. C2×#2579C2semidirect
14. C2×#2554C2semidirect
15. C2×#2480C2semidirect
16. C2×#2412C2semidirect
17. C2×#2456C2semidirect
18. C2×#2424C2semidirect
19. C2×#2424C2semidirect
20. C2×#2424C2semidirect
21. C2×#2418C2semidirect
22. C2×#2410C2semidirect
23. C2×#2410C2semidirect
24. C2×#2403C2semidirect
25. C2×#2661C2semidirect
26. C2×#2648C2semidirect
27. C2×#2358C2semidirect
28. C2×D4×C22⋊C4C2semidirect
29. C2×#2333C2semidirect
30. C2×#2321C2semidirect
31. C2×C4×#121C2semidirect
32. C22×#390C2semidirect
35. C22×#126C22semidirect
36. C22×#126C22semidirect
37. C22×#123C22semidirect
38. C22×#123C22semidirect
42. C22×#121C22semidirect
43. C22×#121C22semidirect
44. C22×#121C22semidirect
50. C22×#120C22semidirect
51. C22×#120C22semidirect
54. C22×C4×D4C22semidirect
55. C22×C4×D4C22semidirect
56. C22×C4×D4C22semidirect
57. C23×C4⋊C4C22semidirect
60. C23×C22⋊C4C22semidirect
61. C23×C22⋊C4C22semidirect
62. C23×C22⋊C4C22semidirect
63. C23×C22⋊C4C22semidirect
64. C23×C42C22semidirect
65. #2852C22semidirect
66. #2803C22semidirect
67. #2780C22semidirect
68. #2756C22semidirect
69. #2749C22semidirect
70. #2714C22semidirect
71. #2714C22semidirect
72. #2685C22semidirect
73. #2678C22semidirect
74. #2661C22semidirect
75. #2648C22semidirect
76. #2597C22semidirect
77. #2591C22semidirect
78. #2579C22semidirect
79. #2554C22semidirect
80. #2480C22semidirect
81. #2456C22semidirect
82. #2424C22semidirect
83. #2424C22semidirect
84. #2424C22semidirect
85. #2418C22semidirect
86. #2412C22semidirect
87. #2410C22semidirect
88. #2410C22semidirect
89. #2403C22semidirect
90. C2×#400C22semidirect
91. C2×#400C22semidirect
92. C2×#399C22semidirect
93. C2×#398C22semidirect
94. C2×#398C22semidirect
95. C2×#397C22semidirect
96. C2×#397C22semidirect
97. C2×#397C22semidirect
98. C2×#397C22semidirect
99. C2×#397C22semidirect
100. C2×#397C22semidirect
101. C2×#396C22semidirect
102. C2×#396C22semidirect
103. C2×#396C22semidirect
104. C2×#396C22semidirect
105. C2×#396C22semidirect
107. C2×#394C22semidirect
108. C2×#394C22semidirect
109. C2×#394C22semidirect
110. C2×#394C22semidirect
111. C2×#394C22semidirect
112. C2×#394C22semidirect
113. C2×#394C22semidirect
114. C2×#394C22semidirect
115. C2×#394C22semidirect
116. C2×#394C22semidirect
117. C2×#394C22semidirect
118. C2×#394C22semidirect
119. C2×#394C22semidirect
125. C2×#392C22semidirect
126. C2×#392C22semidirect
127. C2×#392C22semidirect
128. C2×#392C22semidirect
129. C2×#392C22semidirect
130. #2358C22semidirect
131. D4×C22⋊C4C22semidirect
132. #2333C22semidirect
133. #2321C22semidirect
134. C4×#121C22semidirect
139. C2×#390C22semidirect
140. C2×#390C22semidirect
141. C2×#390C22semidirect
142. C2×#390C22semidirect
143. C2×#390C22semidirect
144. C2×#390C22semidirect
145. C2×#390C22semidirect
146. C2×#390C22semidirect
147. C2×#390C22semidirect
148. C2×#390C22semidirect
149. C2×#390C22semidirect
150. C2×#389C22semidirect
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×#387C22semidirect
170. C2×#387C22semidirect
171. C2×#387C22semidirect
172. C2×#387C22semidirect
173. C2×#387C22semidirect
183. C2×#386C22semidirect
184. C2×#386C22semidirect
185. C2×#386C22semidirect
186. C2×#386C22semidirect
187. C2×#386C22semidirect
188. C2×#386C22semidirect
189. C2×#386C22semidirect
190. C2×#386C22semidirect
191. C2×#386C22semidirect
192. C2×#386C22semidirect
193. C2×#386C22semidirect
194. C2×#386C22semidirect
195. C2×#385C22semidirect
196. C2×#385C22semidirect
197. C2×#385C22semidirect
198. C2×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#383C22semidirect
205. C2×#381C22semidirect
206. C2×#380C22semidirect
207. C2×#380C22semidirect
208. C2×#380C22semidirect
211. C2×#379C22semidirect
212. C2×#379C22semidirect
213. C2×C4×C4⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
262. C2×#126C23semidirect
263. C2×#126C23semidirect
266. C2×#123C23semidirect
267. C2×#123C23semidirect
277. C2×#121C23semidirect
278. C2×#121C23semidirect
279. C2×#121C23semidirect
292. C2×#120C23semidirect
293. C2×#120C23semidirect
301. C2×C4×D4C23semidirect
302. C2×C4×D4C23semidirect
303. C2×C4×D4C23semidirect
326. C22×C4⋊C4C23semidirect
397. C22×C22⋊C4C23semidirect
398. C22×C22⋊C4C23semidirect
399. C22×C22⋊C4C23semidirect
400. C22×C22⋊C4C23semidirect
411. C22×C42C23semidirect
412. #400C23semidirect
413. #400C23semidirect
414. #399C23semidirect
415. #398C23semidirect
416. #398C23semidirect
417. #397C23semidirect
418. #397C23semidirect
419. #397C23semidirect
420. #397C23semidirect
421. #397C23semidirect
422. #397C23semidirect
423. #396C23semidirect
424. #396C23semidirect
425. #396C23semidirect
426. #396C23semidirect
427. #396C23semidirect
429. #394C23semidirect
430. #394C23semidirect
431. #394C23semidirect
432. #394C23semidirect
433. #394C23semidirect
434. #394C23semidirect
435. #394C23semidirect
436. #394C23semidirect
437. #394C23semidirect
438. #394C23semidirect
439. #394C23semidirect
440. #394C23semidirect
441. #394C23semidirect
447. #392C23semidirect
448. #392C23semidirect
449. #392C23semidirect
450. #392C23semidirect
451. #392C23semidirect
456. #390C23semidirect
457. #390C23semidirect
458. #390C23semidirect
459. #390C23semidirect
460. #390C23semidirect
461. #390C23semidirect
462. #390C23semidirect
463. #390C23semidirect
464. #390C23semidirect
465. #390C23semidirect
466. #389C23semidirect
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. #388C23semidirect
481. #388C23semidirect
482. #388C23semidirect
483. #388C23semidirect
484. #388C23semidirect
485. #387C23semidirect
486. #387C23semidirect
487. #387C23semidirect
488. #387C23semidirect
489. #387C23semidirect
499. #386C23semidirect
500. #386C23semidirect
501. #386C23semidirect
502. #386C23semidirect
503. #386C23semidirect
504. #386C23semidirect
505. #386C23semidirect
506. #386C23semidirect
507. #386C23semidirect
508. #386C23semidirect
509. #386C23semidirect
510. #386C23semidirect
511. #385C23semidirect
512. #385C23semidirect
513. #385C23semidirect
514. #385C23semidirect
515. #385C23semidirect
516. #385C23semidirect
517. #385C23semidirect
518. #385C23semidirect
519. #385C23semidirect
520. #383C23semidirect
521. #381C23semidirect
522. #380C23semidirect
523. #380C23semidirect
524. #380C23semidirect
527. #379C23semidirect
528. #379C23semidirect
529. C4×C4⋊C4C23semidirect
530. C4×C22⋊C4C23semidirect
531. C4×C22⋊C4C23semidirect
532. C4×C22⋊C4C23semidirect
533. C4×C22⋊C4C23semidirect
534. C4×C22⋊C4C23semidirect
1783. C2#38564direct (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×#27802
C2×#27562
C2×#27492
C2×#27142
C2×#26852
C2×#26782
#385642
C2×#28522
C2×#25972
C2×#25912
C2×#25792
C2×#25542
C2×#24802
C2×#24122
C2×#24562
C2×#24242
C2×#24182
C2×#24102
C2×#24032
C2×#26612
C2×#26482
C2×#23582
C2×D4×C22⋊C42
C2×#23332
C2×#23212
C2×C4×#1212
C22×#3902