Finite Group Databasebeta

← C2×#40389 #7637511

Subgroups — C2×#40389 #7637511

Order 512.

7412 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2780C211yesmaximal, characteristic, complemented
2C2×#2757C211yesmaximal, characteristic, complemented
3C2×#2746C211yesmaximal, characteristic, complemented
4C2×#2697C211yesmaximal, characteristic, complemented
5C2×#2685C211yesmaximal, characteristic, complemented
6C2×#2684C211yesmaximal, characteristic, complemented
7C2×#2684C211yesmaximal, characteristic, complemented
8C2×#2679C211yesmaximal, characteristic
9#40389C2132yesmaximal, direct product factor
10C2×#2849C211yesmaximal, characteristic, complemented
11C2×#2580C211yesmaximal, characteristic, complemented
12C2×#2595C211yesmaximal, characteristic, complemented
13C2×#2578C211yesmaximal, characteristic, complemented
14C2×#2576C211yesmaximal, characteristic, complemented
15C2×#2572C211yesmaximal, characteristic, complemented
16C2×#2558C211yesmaximal, characteristic, complemented
17C2×#2534C211yesmaximal, characteristic, complemented
18C2×#2518C211yesmaximal, characteristic, complemented
19C2×#2458C211yesmaximal, characteristic, complemented
20C2×#2468C211yesmaximal, characteristic, complemented
21C2×#2466C211yesmaximal, characteristic, complemented
22C2×#2460C211yesmaximal, characteristic, complemented
23C2×#2418C211yesmaximal, characteristic, complemented
24C2×#2418C211yesmaximal, characteristic, complemented
25C2×#2633C211yesmaximal, characteristic, complemented
26C2×#2653C211yesmaximal, characteristic, complemented
27C2×#2367C211yesmaximal, characteristic, complemented
28C2×#2358C211yesmaximal, characteristic, complemented
29C2×#2335C211yesmaximal, characteristic, complemented
30C2×#2321C211yesmaximal, characteristic, complemented
31C2×C4×#120C211yesmaximal, characteristic, complemented
32C2×C4×#120C211yesmaximal, characteristic, complemented
33C25×C4C2211yescharacteristic, complemented
34C22×#126C2211yescharacteristic, complemented
35C22×#125C2211yescharacteristic, complemented
36C22×#124C2211yescharacteristic
37C22×#123C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#120C2211yescharacteristic
41C22×#120C2211yescharacteristic
42C22×#120C2211yescharacteristic
43C22×#120C2211yescharacteristic
44C22×#120C2211yescharacteristic
45C22×#120C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic, complemented
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51C22×C4×D4C2211yescharacteristic
52C22×C4×D4C2211yescharacteristic
53C23×C22⋊C4C2211yescharacteristic, complemented
54C23×C22⋊C4C2211yescharacteristic, complemented
55#2849C22116yescomplemented
56#2780C22116yescomplemented
57#2757C22116yescomplemented
58#2746C22116yescomplemented
59#2697C22116yescomplemented
60#2685C22116yescomplemented
61#2684C22116yescomplemented
62#2684C22116yescomplemented
63#2679C22116yes—
64#2653C22116yescomplemented
65#2633C22116yescomplemented
66#2595C22116yescomplemented
67#2580C22116yescomplemented
68#2578C22116yescomplemented
69#2576C22116yescomplemented
70#2572C22116yescomplemented
71#2558C22116yescomplemented
72#2534C22116yescomplemented
73#2518C22116yescomplemented
74#2468C22116yescomplemented
75#2466C22116yescomplemented
76#2460C22116yescomplemented
77#2458C22116yescomplemented
78#2418C22116yescomplemented
79#2418C22116yescomplemented
80C2×#401C2211yescharacteristic, complemented
81C2×#400C2211yescharacteristic, complemented
82C2×#400C2211yescharacteristic, complemented
83C2×#399C2211yescharacteristic, complemented
84C2×#399C2211yescharacteristic, complemented
85C2×#399C2211yescharacteristic, complemented
86C2×#398C2211yescharacteristic, complemented
87C2×#398C2211yescharacteristic, complemented
88C2×#398C2211yescharacteristic, complemented
89C2×#397C2211yescharacteristic, complemented
90C2×#397C2211yescharacteristic, complemented
91C2×#397C2211yescharacteristic, complemented
92C2×#397C2211yescharacteristic, complemented
93C2×#397C2211yescharacteristic, complemented
94C2×#397C2211yescharacteristic, complemented
95C2×#397C2211yescharacteristic, complemented
96C2×#397C2211yescharacteristic, complemented
97C2×#396C2211yescharacteristic, complemented
98C2×#396C2211yescharacteristic, complemented
99C2×#396C2211yescharacteristic, complemented
100C2×#396C2211yescharacteristic, complemented
101C2×#396C2211yescharacteristic, complemented
102C2×#394C2211yescharacteristic
103C2×#394C2211yescharacteristic
104C2×#394C2211yescharacteristic
105C2×#394C2211yescharacteristic
106C2×#394C2211yescharacteristic
107C2×#394C2211yescharacteristic
108C2×#394C2211yescharacteristic
109C2×#394C2211yescharacteristic
110C2×#394C2211yescharacteristic
111C2×#394C2211yescharacteristic
112C2×#394C2211yescharacteristic
113C2×#394C2211yescharacteristic
114C2×#394C2211yescharacteristic
115C2×#394C2211yescharacteristic
116C2×#393C2211yescharacteristic, complemented
117C2×#393C2211yescharacteristic, complemented
118C2×#393C2211yescharacteristic, complemented
119C2×#393C2211yescharacteristic, complemented
120#2367C22116yescomplemented
121#2358C22116yescomplemented
122#2335C22116yescomplemented
123#2321C22116yescomplemented
124C4×#120C22116yescomplemented
125C4×#120C22116yescomplemented
126C2×#391C2211yescharacteristic, complemented
127C2×#390C2211yescharacteristic
128C2×#390C2211yescharacteristic
129C2×#390C2211yescharacteristic
130C2×#390C2211yescharacteristic
131C2×#390C2211yescharacteristic
132C2×#390C2211yescharacteristic
133C2×#389C2211yescharacteristic, complemented
134C2×#389C2211yescharacteristic, complemented
135C2×#389C2211yescharacteristic, complemented
136C2×#388C2211yescharacteristic, complemented
137C2×#388C2211yescharacteristic, complemented
138C2×#388C2211yescharacteristic, complemented
139C2×#388C2211yescharacteristic, complemented
140C2×#388C2211yescharacteristic, complemented
141C2×#388C2211yescharacteristic, complemented
142C2×#388C2211yescharacteristic, complemented
143C2×#388C2211yescharacteristic, complemented
144C2×#388C2211yescharacteristic, complemented
145C2×#388C2211yescharacteristic, complemented
146C2×#388C2211yescharacteristic, complemented
147C2×#388C2211yescharacteristic, complemented
148C2×#388C2211yescharacteristic, complemented
149C2×#388C2211yescharacteristic, complemented
150C2×#388C2211yescharacteristic, complemented
151C2×#388C2211yescharacteristic, complemented
152C2×#388C2211yescharacteristic, complemented
153C2×#388C2211yescharacteristic, complemented
154C2×#388C2211yescharacteristic, complemented
155C2×#388C2211yescharacteristic, complemented
156C2×#388C2211yescharacteristic, complemented
157C2×#387C2211yescharacteristic, complemented
158C2×#387C2211yescharacteristic, complemented
159C2×#387C2211yescharacteristic, complemented
160C2×#387C2211yescharacteristic, complemented
161C2×#387C2211yescharacteristic, complemented
162C2×#387C2211yescharacteristic, complemented
163C2×#387C2211yescharacteristic, complemented
164C2×#386C2211yescharacteristic
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#385C2211yescharacteristic, complemented
180C2×#385C2211yescharacteristic, complemented
181C2×#385C2211yescharacteristic, complemented
182C2×#385C2211yescharacteristic, complemented
183C2×#385C2211yescharacteristic, complemented
184C2×#385C2211yescharacteristic, complemented
185C2×#385C2211yescharacteristic, complemented
186C2×#385C2211yescharacteristic, complemented
187C2×#385C2211yescharacteristic, complemented
188C2×#385C2211yescharacteristic, complemented
189C2×#385C2211yescharacteristic, complemented
190C2×#385C2211yescharacteristic, complemented
191C2×#385C2211yescharacteristic, complemented
192C2×#385C2211yescharacteristic, complemented
193C2×#385C2211yescharacteristic, complemented
194C2×#383C2211yescharacteristic, complemented
195C2×#383C2211yescharacteristic, complemented
196C2×#382C2211yescharacteristic, complemented
197C2×#381C2211yescharacteristic, complemented
198C2×#381C2211yescharacteristic, complemented
199C2×#381C2211yescharacteristic, complemented
200C2×#380C2211yescharacteristic, complemented
201C2×#380C2211yescharacteristic, complemented
202C2×#380C2211yescharacteristic, complemented
203C2×#379C2211yescharacteristic, complemented
204C2×#379C2211yescharacteristic, complemented
205C2×#379C2211yescharacteristic, complemented
206C2×#379C2211yescharacteristic, complemented
207C2×#379C2211yescharacteristic, complemented
208C2×C4×C4⋊C4C2211yescharacteristic, complemented
209C2×C4×C4⋊C4C2211yescharacteristic, complemented
210C2×C4×C22⋊C4C2211yescharacteristic, complemented
211C2×C4×C22⋊C4C2211yescharacteristic, complemented
212C2×C4×C22⋊C4C2211yescharacteristic, complemented
213C2×C4×C22⋊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
221C23×Q8C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C24×C4—44no—
232C24×C4—44no—
233C24×C4—44no—
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2318yescomplemented
245C2×#126—44no—
246C2×#126C2318yescomplemented
247C2×#125—44no—
248C2×#125C2318yescomplemented
249C2×#124—28no—
250C2×#124C2318yes—
251C2×#123—28no—
252C2×#123—44no—
253C2×#123—44no—
254C2×#123C2318yes—
255C2×#123C2318yes—
256C2×#123C2318yes—
257C2×#120—28no—
258C2×#120—28no—
259C2×#120—28no—
260C2×#120—28no—
261C2×#120—44no—
262C2×#120—44no—
263C2×#120C2318yes—
264C2×#120C2318yes—
265C2×#120C2318yes—
266C2×#120C2318yes—
267C2×#120C2318yes—
268C2×#120C2318yes—
269C2×C4×Q8—44no—
270C2×C4×Q8C2318yescomplemented
271C2×C4×D4—44no—
272C2×C4×D4—44no—
273C2×C4×D4—44no—
274C2×C4×D4—44no—
275C2×C4×D4—44no—
276C2×C4×D4—44no—
277C2×C4×D4C2318yes—
278C2×C4×D4C2318yes—
279C2×C4×D4C2318yes—
280C2×C4×D4C2318yes—
281C2×C4×D4C2318yes—
282C2×C4×D4C2318yes—
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C22⋊C4—44no—
310C22×C22⋊C4—44no—
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2318yescomplemented
368C22×C22⋊C4C2318yescomplemented
369C22×C42C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380#401C2318yescomplemented
381#400C2318yescomplemented
382#400C2318yescomplemented
383#399C2318yescomplemented
384#399C2318yescomplemented
385#399C2318yescomplemented
386#398C2318yescomplemented
387#398C2318yescomplemented
388#398C2318yescomplemented
389#397C2318yescomplemented
390#397C2318yescomplemented
391#397C2318yescomplemented
392#397C2318yescomplemented
393#397C2318yescomplemented
394#397C2318yescomplemented
395#397C2318yescomplemented
396#397C2318yescomplemented
397#396C2318yescomplemented
398#396C2318yescomplemented
399#396C2318yescomplemented
400#396C2318yescomplemented
401#396C2318yescomplemented
402#394C2318yes—
403#394C2318yes—
404#394C2318yes—
405#394C2318yes—
406#394C2318yes—
407#394C2318yes—
408#394C2318yes—
409#394C2318yes—
410#394C2318yes—
411#394C2318yes—
412#394C2318yes—
413#394C2318yes—
414#394C2318yes—
415#394C2318yes—
416#393C2318yescomplemented
417#393C2318yescomplemented
418#393C2318yescomplemented
419#393C2318yescomplemented
420#391C2318yescomplemented
421#390C2318yes—
422#390C2318yes—
423#390C2318yes—
424#390C2318yes—
425#390C2318yes—
426#390C2318yes—
427#389C2318yescomplemented
428#389C2318yescomplemented
429#389C2318yescomplemented
430#388C2318yescomplemented
431#388C2318yescomplemented
432#388C2318yescomplemented
433#388C2318yescomplemented
434#388C2318yescomplemented
435#388C2318yescomplemented
436#388C2318yescomplemented
437#388C2318yescomplemented
438#388C2318yescomplemented
439#388C2318yescomplemented
440#388C2318yescomplemented
441#388C2318yescomplemented
442#388C2318yescomplemented
443#388C2318yescomplemented
444#388C2318yescomplemented
445#388C2318yescomplemented
446#388C2318yescomplemented
447#388C2318yescomplemented
448#388C2318yescomplemented
449#388C2318yescomplemented
450#388C2318yescomplemented
451#387C2318yescomplemented
452#387C2318yescomplemented
453#387C2318yescomplemented
454#387C2318yescomplemented
455#387C2318yescomplemented
456#387C2318yescomplemented
457#387C2318yescomplemented
458#386C2318yes—
459#386C2318yes—
460#386C2318yes—
461#386C2318yes—
462#386C2318yes—
463#386C2318yes—
464#386C2318yes—
465#386C2318yes—
466#386C2318yes—
467#386C2318yes—
468#386C2318yes—
469#386C2318yes—
470#386C2318yes—
471#386C2318yes—
472#386C2318yes—
473#385C2318yescomplemented
474#385C2318yescomplemented
475#385C2318yescomplemented
476#385C2318yescomplemented
477#385C2318yescomplemented
478#385C2318yescomplemented
479#385C2318yescomplemented
480#385C2318yescomplemented
481#385C2318yescomplemented
482#385C2318yescomplemented
483#385C2318yescomplemented
484#385C2318yescomplemented
485#385C2318yescomplemented
486#385C2318yescomplemented
487#385C2318yescomplemented
488#383C2318yescomplemented
489#383C2318yescomplemented
490#382C2318yescomplemented
491#381C2318yescomplemented
492#381C2318yescomplemented
493#381C2318yescomplemented
494#380C2318yescomplemented
495#380C2318yescomplemented
496#380C2318yescomplemented
497#379C2318yescomplemented
498#379C2318yescomplemented
499#379C2318yescomplemented
500#379C2318yescomplemented
501#379C2318yescomplemented
502C4×C4⋊C4C2318yescomplemented
503C4×C4⋊C4C2318yescomplemented
504C4×C22⋊C4C2318yescomplemented
505C4×C22⋊C4C2318yescomplemented
506C4×C22⋊C4C2318yescomplemented
507C4×C22⋊C4C2318yescomplemented
508C4×C22⋊C4C2318yescomplemented
509C4×C22⋊C4C2318yescomplemented
510C4×C22⋊C4C2318yescomplemented
511C4×C22⋊C4C2318yescomplemented
512C4×C22⋊C4C2318yescomplemented
513C2×#95C2311yescharacteristic
514C2×#95C2311yescharacteristic
515C2×#95C2311yescharacteristic
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C25—24no—
554C25—24no—
555C25—24no—
556C25—24no—
557C25—24no—
558C25—42no—
559C25—42no—
560C25—42no—
561C25—42no—
562C25—42no—
563C25—42no—
564C25—42no—
565C25—42no—
566C25—42no—
567C25C2411yescharacteristic
568C25C2411yescharacteristic
569C25C2411yescharacteristic
570C25C2411yescharacteristic
571C25C2411yescharacteristic
572C25C2411yescharacteristic
573C25C2414yes—
574C25C2414yes—
575C22×Q8—24no—
576C22×Q8—42no—
577C22×Q8—42no—
578C22×Q8C2414yes—
579C22×D4—24no—
580C22×D4—24no—
581C22×D4—24no—
582C22×D4—24no—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—24no—
587C22×D4—24no—
588C22×D4—24no—
589C22×D4—24no—
590C22×D4—42no—
591C22×D4—42no—
592C22×D4—42no—
593C22×D4—42no—
594C22×D4—42no—
595C22×D4—42no—
596C22×D4—42no—
597C22×D4—42no—
598C22×D4—42no—
599C22×D4—42no—
600C22×D4—42no—
601C22×D4—42no—
602C22×D4—42no—
603C22×D4—42no—
604C22×D4#4118yes—
605C22×D4#4118yes—
606C22×D4C2414yes—
607C22×D4C2414yes—
608C22×D4C2414yes—
609C22×D4C2414yes—
610C22×D4C2414yes—
611C22×D4C2414yes—
612C22×D4C2414yes—
613C22×D4C2414yes—
614C22×D4C2414yes—
615C23×C4—24no—
616C23×C4—24no—
617C23×C4—24no—
618C23×C4—24no—
619C23×C4—24no—
620C23×C4—24no—
621C23×C4—24no—
622C23×C4—24no—
623C23×C4—24no—
624C23×C4—24no—
625C23×C4—24no—
626C23×C4—416no—
627C23×C4—416no—
628C23×C4—42no—
629C23×C4—42no—
630C23×C4—42no—
631C23×C4—42no—
632C23×C4—42no—
633C23×C4—42no—
634C23×C4—42no—
635C23×C4—42no—
636C23×C4—42no—
637C23×C4—42no—
638C23×C4—416no—
639C23×C4—42no—
640C23×C4—42no—
641C23×C4—42no—
642C23×C4—42no—
643C23×C4—42no—
644C23×C4—42no—
645C23×C4—42no—
646C23×C4—42no—
647C23×C4—42no—
648C23×C4—464no—
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2414yes—
671C23×C4C2414yes—
672C23×C4C2414yes—
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2414yes—
678C23×C4C2414yes—
679C23×C4C2414yes—
680C23×C4C2414yes—
681C23×C4C2414yes—
682C23×C4C2414yes—
683C23×C4C2414yes—
684#126—416no—
685#125—416no—
686#124—232no—
687#123—232no—
688#123—416no—
689#123—416no—
690#120—232no—
691#120—232no—
692#120—232no—
693#120—232no—
694#120—416no—
695#120—416no—
696C4×Q8—416no—
697C4×D4—416no—
698C4×D4—416no—
699C4×D4—416no—
700C4×D4—416no—
701C4×D4—416no—
702C4×D4—416no—
703C2×C4⋊C4—24no—
704C2×C4⋊C4—24no—
705C2×C4⋊C4—24no—
706C2×C4⋊C4—24no—
707C2×C4⋊C4—24no—
708C2×C4⋊C4—24no—
709C2×C4⋊C4—42no—
710C2×C4⋊C4—42no—
711C2×C4⋊C4—42no—
712C2×C4⋊C4—42no—
713C2×C4⋊C4—42no—
714C2×C4⋊C4—42no—
715C2×C4⋊C4—42no—
716C2×C4⋊C4—42no—
717C2×C4⋊C4—42no—
718C2×C4⋊C4—42no—
719C2×C4⋊C4—42no—
720C2×C4⋊C4—42no—
721C2×C4⋊C4—42no—
722C2×C4⋊C4—42no—
723C2×C4⋊C4—42no—
724C2×C4⋊C4—42no—
725C2×C4⋊C4—42no—
726C2×C4⋊C4—42no—
727C2×C4⋊C4—42no—
728C2×C4⋊C4—42no—
729C2×C4⋊C4C2414yes—
730C2×C4⋊C4C2414yes—
731C2×C4⋊C4C2414yes—
732C2×C4⋊C4C2414yes—
733C2×C4⋊C4C2414yes—
734C2×C4⋊C4C2414yes—
735C2×C4⋊C4C2414yes—
736C2×C4⋊C4C2414yes—
737C2×C4⋊C4C2414yes—
738C2×C4⋊C4C2414yes—
739C2×C4⋊C4C2414yes—
740C2×C4⋊C4C2414yes—
741C2×C4⋊C4C2414yes—
742C2×C4⋊C4C2414yes—
743C2×C4⋊C4C2414yes—
744C2×C4⋊C4C2414yes—
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×C22⋊C4—24no—
756C2×C22⋊C4—24no—
757C2×C22⋊C4—24no—
758C2×C22⋊C4—24no—
759C2×C22⋊C4—24no—
760C2×C22⋊C4—24no—
761C2×C22⋊C4—24no—
762C2×C22⋊C4—24no—
763C2×C22⋊C4—24no—
764C2×C22⋊C4—24no—
765C2×C22⋊C4—24no—
766C2×C22⋊C4—24no—
767C2×C22⋊C4—24no—
768C2×C22⋊C4—24no—
769C2×C22⋊C4—24no—
770C2×C22⋊C4—24no—
771C2×C22⋊C4—24no—
772C2×C22⋊C4—24no—
773C2×C22⋊C4—24no—
774C2×C22⋊C4—24no—
775C2×C22⋊C4—24no—
776C2×C22⋊C4—24no—
777C2×C22⋊C4—24no—
778C2×C22⋊C4—24no—
779C2×C22⋊C4—24no—
780C2×C22⋊C4—24no—
781C2×C22⋊C4—416no—
782C2×C22⋊C4—416no—
783C2×C22⋊C4—42no—
784C2×C22⋊C4—42no—
785C2×C22⋊C4—42no—
786C2×C22⋊C4—42no—
787C2×C22⋊C4—42no—
788C2×C22⋊C4—42no—
789C2×C22⋊C4—42no—
790C2×C22⋊C4—42no—
791C2×C22⋊C4—42no—
792C2×C22⋊C4—42no—
793C2×C22⋊C4—42no—
794C2×C22⋊C4—42no—
795C2×C22⋊C4—42no—
796C2×C22⋊C4—42no—
797C2×C22⋊C4—42no—
798C2×C22⋊C4—42no—
799C2×C22⋊C4—42no—
800C2×C22⋊C4—42no—
801C2×C22⋊C4—42no—
802C2×C22⋊C4—42no—
803C2×C22⋊C4—42no—
804C2×C22⋊C4—42no—
805C2×C22⋊C4—42no—
806C2×C22⋊C4—42no—
807C2×C22⋊C4—42no—
808C2×C22⋊C4—42no—
809C2×C22⋊C4—42no—
810C2×C22⋊C4—42no—
811C2×C22⋊C4—42no—
812C2×C22⋊C4—42no—
813C2×C22⋊C4C2414yes—
814C2×C22⋊C4C2414yes—
815C2×C22⋊C4C2414yes—
816C2×C22⋊C4C2414yes—
817C2×C22⋊C4C2414yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2414yes—
821C2×C22⋊C4C2414yes—
822C2×C22⋊C4C2414yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×C22⋊C4C2414yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C42—24no—
870C2×C42—24no—
871C2×C42—24no—
872C2×C42—42no—
873C2×C42—42no—
874C2×C42—42no—
875C2×C42—42no—
876C2×C42—42no—
877C2×C42—42no—
878C2×C42—42no—
879C2×C42—42no—
880C2×C42C2414yes—
881C2×C42C2414yes—
882C2×C42C2414yes—
883C2×C42C2414yes—
884C2×C42C2414yes—
885C2×C42C2414yes—
886C2×C42C2414yes—
887C2×C42C2414yes—
888C2×C42C2414yes—
889C2×C42C2414yes—
890C2×C42C2414yes—
891#95C2414yes—
892#95C2414yes—
893#95C2414yes—
894#95C2414yes—
895#95C2414yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899#95C2414yes—
900#95C2414yes—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931C24—22no—
932C24—22no—
933C24—22no—
934C24—22no—
935C24—22no—
936C24—22no—
937C24—22no—
938C24—22no—
939C24—22no—
940C24—22no—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—22no—
946C24—22no—
947C24—22no—
948C24—22no—
949C24—22no—
950C24—22no—
951C24—22no—
952C24—22no—
953C24—22no—
954C24—22no—
955C24—22no—
956C24—22no—
957C24—22no—
958C24—22no—
959C24—22no—
960C24—22no—
961C24—22no—
962C24—22no—
963C24—28no—
964C24—28no—
965C24—22no—
966C24—22no—
967C24—22no—
968C24—28no—
969C24—22no—
970C24—22no—
971C24—28no—
972C24—28no—
973C24—44no—
974C24—44no—
975C24—44no—
976C24—44no—
977C24—44no—
978C24—44no—
979C24—44no—
980C24—44no—
981C24—44no—
982C24—416no—
983C24—416no—
984C24—416no—
985C24—416no—
986C24—416no—
987C24—416no—
988C24—416no—
989C24—416no—
990C24—416no—
991C24—88no—
992C24—88no—
993C24—88no—
994C24—88no—
995C24—88no—
996C24C2×#4114yes—
997C24C2×#4114yes—
998C24C2×#4114yes—
999C24C2×#4114yes—
1000C24H(5,𝔽2)14yes—
1001C24C2512yes—
1002C24C2512yes—
1003C24C2512yes—
1004C24C2512yes—
1005C24C2512yes—
1006C24C2512yes—
1007C24C2511yescharacteristic
1008C2×Q8—28no—
1009C2×Q8—44no—
1010C2×Q8—44no—
1011C2×Q8—416no—
1012C2×D4—28no—
1013C2×D4—28no—
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—28no—
1017C2×D4—28no—
1018C2×D4—28no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—28no—
1022C2×D4—28no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—416no—
1028C2×D4—416no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—416no—
1040C2×D4—416no—
1041C2×D4—416no—
1042C2×D4—416no—
1043C2×D4—88no—
1044C2×D4—88no—
1045C2×D4—88no—
1046C2×D4C2×#41116yes—
1047C2×D4C2×#41116yes—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—28no—
1104C22×C4—28no—
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—28no—
1122C22×C4—28no—
1123C22×C4—28no—
1124C22×C4—28no—
1125C22×C4—28no—
1126C22×C4—28no—
1127C22×C4—28no—
1128C22×C4—28no—
1129C22×C4—28no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—416no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—416no—
1151C22×C4—416no—
1152C22×C4—416no—
1153C22×C4—416no—
1154C22×C4—4128no—
1155C22×C4—416no—
1156C22×C4—88no—
1157C22×C4—88no—
1158C22×C4—88no—
1159C22×C4—88no—
1160C22×C4C2×#4114yes—
1161C22×C4C2×#4114yes—
1162C22×C4H(5,𝔽2)14yes—
1163C22×C4H(5,𝔽2)14yes—
1164C22×C4C2512yes—
1165C22×C4C2512yes—
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2512yes—
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C4⋊C4—28no—
1190C4⋊C4—28no—
1191C4⋊C4—28no—
1192C4⋊C4—28no—
1193C4⋊C4—28no—
1194C4⋊C4—28no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C22⋊C4—28no—
1216C22⋊C4—28no—
1217C22⋊C4—28no—
1218C22⋊C4—28no—
1219C22⋊C4—28no—
1220C22⋊C4—28no—
1221C22⋊C4—28no—
1222C22⋊C4—28no—
1223C22⋊C4—28no—
1224C22⋊C4—28no—
1225C22⋊C4—28no—
1226C22⋊C4—28no—
1227C22⋊C4—28no—
1228C22⋊C4—28no—
1229C22⋊C4—28no—
1230C22⋊C4—28no—
1231C22⋊C4—28no—
1232C22⋊C4—28no—
1233C22⋊C4—28no—
1234C22⋊C4—28no—
1235C22⋊C4—28no—
1236C22⋊C4—28no—
1237C22⋊C4—28no—
1238C22⋊C4—28no—
1239C22⋊C4—28no—
1240C22⋊C4—28no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
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—
1271C42—28no—
1272C42—28no—
1273C42—28no—
1274C42—44no—
1275C42—44no—
1276C42—44no—
1277C42—44no—
1278C42—44no—
1279C42—44no—
1280C42—44no—
1281C42—44no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—22no—
1286C23—22no—
1287C23—22no—
1288C23—22no—
1289C23—22no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—28no—
1313C23—28no—
1314C23—28no—
1315C23—28no—
1316C23—28no—
1317C23—28no—
1318C23—28no—
1319C23—28no—
1320C23—28no—
1321C23—28no—
1322C23—28no—
1323C23—28no—
1324C23—28no—
1325C23—28no—
1326C23—28no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—416no—
1335C23—416no—
1336C23—416no—
1337C23—416no—
1338C23—416no—
1339C23—416no—
1340C23—416no—
1341C23—416no—
1342C23—416no—
1343C23—4128no—
1344C23—44no—
1345C23—44no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23—44no—
1357C23—44no—
1358C23—44no—
1359C23—44no—
1360C23—44no—
1361C23—44no—
1362C23—44no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—44no—
1369C23—44no—
1370C23—44no—
1371C23—88no—
1372C23—88no—
1373C23—88no—
1374C23—88no—
1375C23—88no—
1376C23—864no—
1377C23C22×#4114yes—
1378C23C22×#4114yes—
1379C23C22×#4114yes—
1380C23C22×#4114yes—
1381C23C22×#4112yes—
1382C23C22×#4112yes—
1383C23C2×H(5,𝔽2)14yes—
1384C23C2×H(5,𝔽2)12yes—
1385C23C2×H(5,𝔽2)12yes—
1386C23C2×H(5,𝔽2)12yes—
1387C23#58512yes—
1388C23#58512yes—
1389C23C2611yescharacteristic
1390Q8—416no—
1391D4—416no—
1392D4—416no—
1393D4—416no—
1394D4—416no—
1395D4—416no—
1396D4—416no—
1397D4—88no—
1398D4—88no—
1399D4—88no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—28no—
1409C2×C4—28no—
1410C2×C4—28no—
1411C2×C4—28no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—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—416no—
1476C2×C4—416no—
1477C2×C4—416no—
1478C2×C4—416no—
1479C2×C4—416no—
1480C2×C4—416no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—88no—
1503C2×C4—88no—
1504C2×C4—88no—
1505C2×C4—88no—
1506C2×C4C22×#4114yes—
1507C2×C4C22×#4114yes—
1508C2×C4C2×H(5,𝔽2)14yes—
1509C2×C4C2×H(5,𝔽2)14yes—
1510C22—24no—
1511C22—24no—
1512C22—24no—
1513C22—24no—
1514C22—24no—
1515C22—24no—
1516C22—24no—
1517C22—24no—
1518C22—24no—
1519C22—24no—
1520C22—24no—
1521C22—24no—
1522C22—24no—
1523C22—24no—
1524C22—24no—
1525C22—464no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—416no—
1539C22—416no—
1540C22—416no—
1541C22—416no—
1542C22—416no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—832no—
1559C22—88no—
1560C22#345914yes—
1561C22#348114yes—
1562C22#350514yes—
1563C22#351314yes—
1564C22#351314yes—
1565C22#353214yes—
1566C22#354014yes—
1567C22C23×#4111yescharacteristic
1568C22C23×#4111yescharacteristic
1569C22C22×H(5,𝔽2)11yescharacteristic
1570C22C22×H(5,𝔽2)11yescharacteristic
1571C22C22×H(5,𝔽2)11yescharacteristic
1572C22C2×#58511yescharacteristic
1573C22C2×#58511yescharacteristic
1574C4—24no—
1575C4—24no—
1576C4—24no—
1577C4—24no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C2—44no—
1600C2—44no—
1601C2—44no—
1602C2—44no—
1603C2—44no—
1604C2—82no—
1605C2#4038918yesdirect product factor
1606C2C2×#345911yescharacteristic
1607C2C2×#348111yescharacteristic
1608C2C2×#353211yescharacteristic
1609C2C2×#354011yescharacteristic
1610C2C2×#350511yescharacteristic
1611C2C2×#351311yescharacteristic
1612C2C2×#351311yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2679C2
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×#2780C2semidirect
2. C2×#2757C2semidirect
3. C2×#2746C2semidirect
4. C2×#2697C2semidirect
5. C2×#2685C2semidirect
6. C2×#2684C2semidirect
7. C2×#2684C2semidirect
9. #40389C2direct (N × H)
10. C2×#2849C2semidirect
11. C2×#2580C2semidirect
12. C2×#2595C2semidirect
13. C2×#2578C2semidirect
14. C2×#2576C2semidirect
15. C2×#2572C2semidirect
16. C2×#2558C2semidirect
17. C2×#2534C2semidirect
18. C2×#2518C2semidirect
19. C2×#2458C2semidirect
20. C2×#2468C2semidirect
21. C2×#2466C2semidirect
22. C2×#2460C2semidirect
23. C2×#2418C2semidirect
24. C2×#2418C2semidirect
25. C2×#2633C2semidirect
26. C2×#2653C2semidirect
27. C2×#2367C2semidirect
28. C2×#2358C2semidirect
29. C2×#2335C2semidirect
30. C2×#2321C2semidirect
31. C2×C4×#120C2semidirect
32. C2×C4×#120C2semidirect
33. C25×C4C22semidirect
34. C22×#126C22semidirect
35. C22×#125C22semidirect
46. C22×C4×Q8C22semidirect
53. C23×C22⋊C4C22semidirect
54. C23×C22⋊C4C22semidirect
55. #2849C22semidirect
56. #2780C22semidirect
57. #2757C22semidirect
58. #2746C22semidirect
59. #2697C22semidirect
60. #2685C22semidirect
61. #2684C22semidirect
62. #2684C22semidirect
64. #2653C22semidirect
65. #2633C22semidirect
66. #2595C22semidirect
67. #2580C22semidirect
68. #2578C22semidirect
69. #2576C22semidirect
70. #2572C22semidirect
71. #2558C22semidirect
72. #2534C22semidirect
73. #2518C22semidirect
74. #2468C22semidirect
75. #2466C22semidirect
76. #2460C22semidirect
77. #2458C22semidirect
78. #2418C22semidirect
79. #2418C22semidirect
80. C2×#401C22semidirect
81. C2×#400C22semidirect
82. C2×#400C22semidirect
83. C2×#399C22semidirect
84. C2×#399C22semidirect
85. C2×#399C22semidirect
86. C2×#398C22semidirect
87. C2×#398C22semidirect
88. C2×#398C22semidirect
89. C2×#397C22semidirect
90. C2×#397C22semidirect
91. C2×#397C22semidirect
92. C2×#397C22semidirect
93. C2×#397C22semidirect
94. C2×#397C22semidirect
95. C2×#397C22semidirect
96. C2×#397C22semidirect
97. C2×#396C22semidirect
98. C2×#396C22semidirect
99. C2×#396C22semidirect
100. C2×#396C22semidirect
101. C2×#396C22semidirect
116. C2×#393C22semidirect
117. C2×#393C22semidirect
118. C2×#393C22semidirect
119. C2×#393C22semidirect
120. #2367C22semidirect
121. #2358C22semidirect
122. #2335C22semidirect
123. #2321C22semidirect
124. C4×#120C22semidirect
125. C4×#120C22semidirect
126. C2×#391C22semidirect
133. C2×#389C22semidirect
134. C2×#389C22semidirect
135. C2×#389C22semidirect
136. C2×#388C22semidirect
137. C2×#388C22semidirect
138. C2×#388C22semidirect
139. C2×#388C22semidirect
140. C2×#388C22semidirect
141. C2×#388C22semidirect
142. C2×#388C22semidirect
143. C2×#388C22semidirect
144. C2×#388C22semidirect
145. C2×#388C22semidirect
146. C2×#388C22semidirect
147. C2×#388C22semidirect
148. C2×#388C22semidirect
149. C2×#388C22semidirect
150. C2×#388C22semidirect
151. C2×#388C22semidirect
152. C2×#388C22semidirect
153. C2×#388C22semidirect
154. C2×#388C22semidirect
155. C2×#388C22semidirect
156. C2×#388C22semidirect
157. C2×#387C22semidirect
158. C2×#387C22semidirect
159. C2×#387C22semidirect
160. C2×#387C22semidirect
161. C2×#387C22semidirect
162. C2×#387C22semidirect
163. C2×#387C22semidirect
179. C2×#385C22semidirect
180. C2×#385C22semidirect
181. C2×#385C22semidirect
182. C2×#385C22semidirect
183. C2×#385C22semidirect
184. C2×#385C22semidirect
185. C2×#385C22semidirect
186. C2×#385C22semidirect
187. C2×#385C22semidirect
188. C2×#385C22semidirect
189. C2×#385C22semidirect
190. C2×#385C22semidirect
191. C2×#385C22semidirect
192. C2×#385C22semidirect
193. C2×#385C22semidirect
194. C2×#383C22semidirect
195. C2×#383C22semidirect
196. C2×#382C22semidirect
197. C2×#381C22semidirect
198. C2×#381C22semidirect
199. C2×#381C22semidirect
200. C2×#380C22semidirect
201. C2×#380C22semidirect
202. C2×#380C22semidirect
203. C2×#379C22semidirect
204. C2×#379C22semidirect
205. C2×#379C22semidirect
206. C2×#379C22semidirect
207. C2×#379C22semidirect
208. C2×C4×C4⋊C4C22semidirect
209. C2×C4×C4⋊C4C22semidirect
210. C2×C4×C22⋊C4C22semidirect
211. C2×C4×C22⋊C4C22semidirect
212. C2×C4×C22⋊C4C22semidirect
213. C2×C4×C22⋊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
244. C24×C4C23semidirect
246. C2×#126C23semidirect
248. C2×#125C23semidirect
270. C2×C4×Q8C23semidirect
367. C22×C22⋊C4C23semidirect
368. C22×C22⋊C4C23semidirect
380. #401C23semidirect
381. #400C23semidirect
382. #400C23semidirect
383. #399C23semidirect
384. #399C23semidirect
385. #399C23semidirect
386. #398C23semidirect
387. #398C23semidirect
388. #398C23semidirect
389. #397C23semidirect
390. #397C23semidirect
391. #397C23semidirect
392. #397C23semidirect
393. #397C23semidirect
394. #397C23semidirect
395. #397C23semidirect
396. #397C23semidirect
397. #396C23semidirect
398. #396C23semidirect
399. #396C23semidirect
400. #396C23semidirect
401. #396C23semidirect
416. #393C23semidirect
417. #393C23semidirect
418. #393C23semidirect
419. #393C23semidirect
420. #391C23semidirect
427. #389C23semidirect
428. #389C23semidirect
429. #389C23semidirect
430. #388C23semidirect
431. #388C23semidirect
432. #388C23semidirect
433. #388C23semidirect
434. #388C23semidirect
435. #388C23semidirect
436. #388C23semidirect
437. #388C23semidirect
438. #388C23semidirect
439. #388C23semidirect
440. #388C23semidirect
441. #388C23semidirect
442. #388C23semidirect
443. #388C23semidirect
444. #388C23semidirect
445. #388C23semidirect
446. #388C23semidirect
447. #388C23semidirect
448. #388C23semidirect
449. #388C23semidirect
450. #388C23semidirect
451. #387C23semidirect
452. #387C23semidirect
453. #387C23semidirect
454. #387C23semidirect
455. #387C23semidirect
456. #387C23semidirect
457. #387C23semidirect
473. #385C23semidirect
474. #385C23semidirect
475. #385C23semidirect
476. #385C23semidirect
477. #385C23semidirect
478. #385C23semidirect
479. #385C23semidirect
480. #385C23semidirect
481. #385C23semidirect
482. #385C23semidirect
483. #385C23semidirect
484. #385C23semidirect
485. #385C23semidirect
486. #385C23semidirect
487. #385C23semidirect
488. #383C23semidirect
489. #383C23semidirect
490. #382C23semidirect
491. #381C23semidirect
492. #381C23semidirect
493. #381C23semidirect
494. #380C23semidirect
495. #380C23semidirect
496. #380C23semidirect
497. #379C23semidirect
498. #379C23semidirect
499. #379C23semidirect
500. #379C23semidirect
501. #379C23semidirect
502. C4×C4⋊C4C23semidirect
503. C4×C4⋊C4C23semidirect
504. C4×C22⋊C4C23semidirect
505. C4×C22⋊C4C23semidirect
506. C4×C22⋊C4C23semidirect
507. C4×C22⋊C4C23semidirect
508. C4×C22⋊C4C23semidirect
509. C4×C22⋊C4C23semidirect
510. C4×C22⋊C4C23semidirect
511. C4×C22⋊C4C23semidirect
512. C4×C22⋊C4C23semidirect
1605. C2#40389direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27802
C2×#27572
C2×#27462
C2×#26972
C2×#26852
C2×#26842
C2×#26792
#403892
C2×#28492
C2×#25802
C2×#25952
C2×#25782
C2×#25762
C2×#25722
C2×#25582
C2×#25342
C2×#25182
C2×#24582
C2×#24682
C2×#24662
C2×#24602
C2×#24182
C2×#26332
C2×#26532
C2×#23672
C2×#23582
C2×#23352
C2×#23212
C2×C4×#1202