Finite Group Databasebeta

← C2×#37908 #7635153

Subgroups — C2×#37908 #7635153

Order 512.

7176 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2787C211yesmaximal, characteristic, complemented
2C2×#2781C211yesmaximal, characteristic, complemented
3C2×#2746C211yesmaximal, characteristic, complemented
4C2×#2744C211yesmaximal, characteristic, complemented
5C2×#2708C211yesmaximal, characteristic, complemented
6C2×#2695C211yesmaximal, characteristic, complemented
7C2×#2694C211yesmaximal, characteristic, complemented
8C2×#2693C211yesmaximal, characteristic, complemented
9#37908C2132yesmaximal, direct product factor
10C2×#2849C211yesmaximal, characteristic, complemented
11C2×#2577C211yesmaximal, characteristic, complemented
12C2×#2579C211yesmaximal, characteristic, complemented
13C2×#2579C211yesmaximal, characteristic, complemented
14C2×#2553C211yesmaximal, characteristic, complemented
15C2×#2510C211yesmaximal, characteristic, complemented
16C2×#2505C211yesmaximal, characteristic, complemented
17C2×#2425C211yesmaximal, characteristic, complemented
18C2×#2460C211yesmaximal, characteristic, complemented
19C2×#2480C211yesmaximal, characteristic, complemented
20C2×#2473C211yesmaximal, characteristic, complemented
21C2×#2424C211yesmaximal, characteristic
22C2×#2443C211yesmaximal, characteristic, complemented
23C2×#2418C211yesmaximal, characteristic, complemented
24C2×#2418C211yesmaximal, characteristic, complemented
25C2×#2667C211yesmaximal, characteristic, complemented
26C2×#2630C211yesmaximal, characteristic, complemented
27C2×#2364C211yesmaximal, characteristic, complemented
28C2×#2349C211yesmaximal, characteristic, complemented
29C2×#2335C211yesmaximal, characteristic, complemented
30C2×#2318C211yesmaximal, characteristic, complemented
31C2×C4×#120C211yesmaximal, characteristic, complemented
32C22×#380C211yesmaximal, characteristic, complemented
33C25×C4C2211yescharacteristic
34C22×#126C2211yescharacteristic
35C22×#125C2211yescharacteristic, complemented
36C22×#123C2211yescharacteristic
37C22×#123C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic, complemented
41C22×#121C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#120C2211yescharacteristic
44C22×#120C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51C23×C4⋊C4C2211yescharacteristic
52C23×C4⋊C4C2211yescharacteristic
53C23×C22⋊C4C2211yescharacteristic
54C23×C22⋊C4C2211yescharacteristic
55#2849C22116yescomplemented
56#2787C22116yescomplemented
57#2781C22116yescomplemented
58#2746C22116yescomplemented
59#2744C22116yescomplemented
60#2708C22116yescomplemented
61#2695C22116yescomplemented
62#2694C22116yescomplemented
63#2693C22116yescomplemented
64#2667C22116yescomplemented
65#2630C22116yescomplemented
66#2579C22116yescomplemented
67#2579C22116yescomplemented
68#2577C22116yescomplemented
69#2553C22116yescomplemented
70#2510C22116yescomplemented
71#2505C22116yescomplemented
72#2480C22116yescomplemented
73#2473C22116yescomplemented
74#2460C22116yescomplemented
75#2443C22116yescomplemented
76#2425C22116yescomplemented
77#2424C22116yes—
78#2418C22116yescomplemented
79#2418C22116yescomplemented
80C2×#401C2211yescharacteristic, complemented
81C2×#400C2211yescharacteristic, complemented
82C2×#400C2211yescharacteristic, complemented
83C2×#400C2211yescharacteristic, complemented
84C2×#400C2211yescharacteristic, complemented
85C2×#400C2211yescharacteristic, complemented
86C2×#399C2211yescharacteristic
87C2×#399C2211yescharacteristic
88C2×#399C2211yescharacteristic, complemented
89C2×#398C2211yescharacteristic, complemented
90C2×#398C2211yescharacteristic, complemented
91C2×#398C2211yescharacteristic, complemented
92C2×#398C2211yescharacteristic, complemented
93C2×#398C2211yescharacteristic, complemented
94C2×#398C2211yescharacteristic, complemented
95C2×#398C2211yescharacteristic, complemented
96C2×#398C2211yescharacteristic, complemented
97C2×#398C2211yescharacteristic, complemented
98C2×#397C2211yescharacteristic
99C2×#397C2211yescharacteristic
100C2×#397C2211yescharacteristic
101C2×#397C2211yescharacteristic
102C2×#397C2211yescharacteristic
103C2×#397C2211yescharacteristic, complemented
104C2×#397C2211yescharacteristic, complemented
105C2×#397C2211yescharacteristic, complemented
106C2×#396C2211yescharacteristic
107C2×#396C2211yescharacteristic
108C2×#396C2211yescharacteristic, complemented
109C2×#396C2211yescharacteristic, complemented
110C2×#396C2211yescharacteristic, complemented
111C2×#396C2211yescharacteristic, complemented
112C2×#394C2211yescharacteristic
113C2×#394C2211yescharacteristic
114C2×#394C2211yescharacteristic
115C2×#394C2211yescharacteristic
116C2×#394C2211yescharacteristic
117C2×#394C2211yescharacteristic
118C2×#394C2211yescharacteristic, complemented
119C2×#392C2211yescharacteristic
120#2364C22116yescomplemented
121#2349C22116yescomplemented
122#2335C22116yescomplemented
123#2318C22116yescomplemented
124C4×#120C22116yescomplemented
125C2×#390C2211yescharacteristic
126C2×#389C2211yescharacteristic, complemented
127C2×#389C2211yescharacteristic, complemented
128C2×#389C2211yescharacteristic, complemented
129C2×#389C2211yescharacteristic, complemented
130C2×#388C2211yescharacteristic
131C2×#388C2211yescharacteristic
132C2×#388C2211yescharacteristic
133C2×#388C2211yescharacteristic
134C2×#388C2211yescharacteristic
135C2×#388C2211yescharacteristic
136C2×#388C2211yescharacteristic
137C2×#388C2211yescharacteristic
138C2×#388C2211yescharacteristic, complemented
139C2×#388C2211yescharacteristic, complemented
140C2×#388C2211yescharacteristic, complemented
141C2×#388C2211yescharacteristic, complemented
142C2×#388C2211yescharacteristic, complemented
143C2×#387C2211yescharacteristic, complemented
144C2×#387C2211yescharacteristic, complemented
145C2×#387C2211yescharacteristic, complemented
146C2×#387C2211yescharacteristic, complemented
147C2×#387C2211yescharacteristic, complemented
148C2×#387C2211yescharacteristic, complemented
149C2×#387C2211yescharacteristic, complemented
150C2×#387C2211yescharacteristic, complemented
151C2×#387C2211yescharacteristic, complemented
152C2×#387C2211yescharacteristic, complemented
153C2×#387C2211yescharacteristic, complemented
154C2×#387C2211yescharacteristic, complemented
155C2×#386C2211yescharacteristic
156C2×#386C2211yescharacteristic
157C2×#386C2211yescharacteristic
158C2×#386C2211yescharacteristic
159C2×#386C2211yescharacteristic
160C2×#386C2211yescharacteristic
161C2×#386C2211yescharacteristic
162C2×#386C2211yescharacteristic
163C2×#386C2211yescharacteristic
164C2×#386C2211yescharacteristic
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic, complemented
169C2×#386C2211yescharacteristic, complemented
170C2×#385C2211yescharacteristic
171C2×#385C2211yescharacteristic
172C2×#385C2211yescharacteristic
173C2×#385C2211yescharacteristic
174C2×#385C2211yescharacteristic
175C2×#385C2211yescharacteristic
176C2×#385C2211yescharacteristic
177C2×#385C2211yescharacteristic
178C2×#385C2211yescharacteristic
179C2×#385C2211yescharacteristic
180C2×#385C2211yescharacteristic
181C2×#385C2211yescharacteristic
182C2×#385C2211yescharacteristic, complemented
183C2×#385C2211yescharacteristic, complemented
184C2×#385C2211yescharacteristic, complemented
185C2×#385C2211yescharacteristic, complemented
186C2×#385C2211yescharacteristic, complemented
187C2×#385C2211yescharacteristic, complemented
188C2×#385C2211yescharacteristic, complemented
189C2×#383C2211yescharacteristic, complemented
190C2×#382C2211yescharacteristic, complemented
191C2×#382C2211yescharacteristic, complemented
192C2×#381C2211yescharacteristic
193C2×#381C2211yescharacteristic
194C2×#380C2211yescharacteristic
195C2×#380C2211yescharacteristic
196C2×#380C2211yescharacteristic
197C2×#380C2211yescharacteristic
198C2×#380C2211yescharacteristic
199C2×#380C2211yescharacteristic
200C2×#380C2211yescharacteristic
201C2×#380C2211yescharacteristic
202C2×#380C2211yescharacteristic
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic
205C2×#380C22116yescomplemented
206C2×#380C2211yescharacteristic, complemented
207C2×#379C2211yescharacteristic
208C2×#379C2211yescharacteristic
209C2×C4×C4⋊C4C2211yescharacteristic, complemented
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C22×#95C2211yescharacteristic
217C22×#95C2211yescharacteristic
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C24×C4—28no—
228C24×C4—44no—
229C24×C4—44no—
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2318yes—
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C2×#126—44no—
246C2×#126C2318yes—
247C2×#125—44no—
248C2×#125C2318yescomplemented
249C2×#123—28no—
250C2×#123—44no—
251C2×#123—44no—
252C2×#123—44no—
253C2×#123—44no—
254C2×#123C2318yes—
255C2×#123C2318yes—
256C2×#123C2318yes—
257C2×#123C2318yes—
258C2×#123C2318yescomplemented
259C2×#121—28no—
260C2×#121—44no—
261C2×#121C2318yes—
262C2×#121C2318yes—
263C2×#120—28no—
264C2×#120—44no—
265C2×#120C2318yes—
266C2×#120C2318yes—
267C2×C4×D4—28no—
268C2×C4×D4—28no—
269C2×C4×D4—44no—
270C2×C4×D4—44no—
271C2×C4×D4—44no—
272C2×C4×D4—44no—
273C2×C4×D4C2318yes—
274C2×C4×D4C2318yes—
275C2×C4×D4C2318yes—
276C2×C4×D4C2318yes—
277C2×C4×D4C2318yes—
278C2×C4×D4C2318yes—
279C22×C4⋊C4—44no—
280C22×C4⋊C4—44no—
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2318yes—
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×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2318yes—
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C22⋊C4—44no—
319C22×C22⋊C4—44no—
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⋊C4C2318yes—
362C22×C22⋊C4C2318yes—
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374#401C2318yescomplemented
375#400C2318yescomplemented
376#400C2318yescomplemented
377#400C2318yescomplemented
378#400C2318yescomplemented
379#400C2318yescomplemented
380#399C2318yes—
381#399C2318yes—
382#399C2318yescomplemented
383#398C2318yescomplemented
384#398C2318yescomplemented
385#398C2318yescomplemented
386#398C2318yescomplemented
387#398C2318yescomplemented
388#398C2318yescomplemented
389#398C2318yescomplemented
390#398C2318yescomplemented
391#398C2318yescomplemented
392#397C2318yes—
393#397C2318yes—
394#397C2318yes—
395#397C2318yes—
396#397C2318yes—
397#397C2318yescomplemented
398#397C2318yescomplemented
399#397C2318yescomplemented
400#396C2318yes—
401#396C2318yes—
402#396C2318yescomplemented
403#396C2318yescomplemented
404#396C2318yescomplemented
405#396C2318yescomplemented
406#394C2318yes—
407#394C2318yes—
408#394C2318yes—
409#394C2318yes—
410#394C2318yes—
411#394C2318yes—
412#394C2318yescomplemented
413#392C2318yes—
414#390C2318yes—
415#389C2318yescomplemented
416#389C2318yescomplemented
417#389C2318yescomplemented
418#389C2318yescomplemented
419#388C2318yes—
420#388C2318yes—
421#388C2318yes—
422#388C2318yes—
423#388C2318yes—
424#388C2318yes—
425#388C2318yes—
426#388C2318yes—
427#388C2318yescomplemented
428#388C2318yescomplemented
429#388C2318yescomplemented
430#388C2318yescomplemented
431#388C2318yescomplemented
432#387C2318yescomplemented
433#387C2318yescomplemented
434#387C2318yescomplemented
435#387C2318yescomplemented
436#387C2318yescomplemented
437#387C2318yescomplemented
438#387C2318yescomplemented
439#387C2318yescomplemented
440#387C2318yescomplemented
441#387C2318yescomplemented
442#387C2318yescomplemented
443#387C2318yescomplemented
444#386C2318yes—
445#386C2318yes—
446#386C2318yes—
447#386C2318yes—
448#386C2318yes—
449#386C2318yes—
450#386C2318yes—
451#386C2318yes—
452#386C2318yes—
453#386C2318yes—
454#386C2318yes—
455#386C2318yes—
456#386C2318yes—
457#386C2318yescomplemented
458#386C2318yescomplemented
459#385C2318yes—
460#385C2318yes—
461#385C2318yes—
462#385C2318yes—
463#385C2318yes—
464#385C2318yes—
465#385C2318yes—
466#385C2318yes—
467#385C2318yes—
468#385C2318yes—
469#385C2318yes—
470#385C2318yes—
471#385C2318yescomplemented
472#385C2318yescomplemented
473#385C2318yescomplemented
474#385C2318yescomplemented
475#385C2318yescomplemented
476#385C2318yescomplemented
477#385C2318yescomplemented
478#383C2318yescomplemented
479#382C2318yescomplemented
480#382C2318yescomplemented
481#381C2318yes—
482#381C2318yes—
483#380C2318yes—
484#380C2318yes—
485#380C2318yes—
486#380C2318yes—
487#380C2318yes—
488#380C2318yes—
489#380C2318yes—
490#380C2318yes—
491#380C2318yes—
492#380C2318yes—
493#380C2318yes—
494#380C2318yescomplemented
495#379C2318yes—
496#379C2318yes—
497C4×C4⋊C4C2318yescomplemented
498C4×C22⋊C4C2318yes—
499C4×C22⋊C4C2318yes—
500C4×C22⋊C4C2318yes—
501C4×C22⋊C4C2318yes—
502C4×C22⋊C4C2318yescomplemented
503C4×C22⋊C4C2318yescomplemented
504C2×#95C2318yes—
505C2×#95C2318yes—
506C2×#95C2311yescharacteristic
507C2×#95C2311yescharacteristic
508C2×#95C2311yescharacteristic
509C2×#95C2311yescharacteristic
510C2×#95C2311yescharacteristic
511C2×#95C2311yescharacteristic
512C2×#95C2311yescharacteristic
513C2×#95C2311yescharacteristic
514C2×#95C2311yescharacteristic
515C2×#95C2311yescharacteristic
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2318yescomplemented
553C25—24no—
554C25—24no—
555C25—24no—
556C25—24no—
557C25—24no—
558C25—42no—
559C25—42no—
560C25C2411yescharacteristic
561C25C2411yescharacteristic
562C25C2411yescharacteristic
563C25C2411yescharacteristic
564C25C2414yes—
565C25C2411yescharacteristic
566C22×D4—24no—
567C22×D4—24no—
568C22×D4—24no—
569C22×D4—24no—
570C22×D4—24no—
571C22×D4—24no—
572C22×D4—24no—
573C22×D4—24no—
574C22×D4—24no—
575C22×D4—24no—
576C22×D4—24no—
577C22×D4—24no—
578C22×D4—42no—
579C22×D4—42no—
580C22×D4—42no—
581C22×D4—42no—
582C22×D4—42no—
583C22×D4—42no—
584C22×D4—42no—
585C22×D4—42no—
586C22×D4#4118yes—
587C22×D4C2414yes—
588C22×D4C2414yes—
589C22×D4C2414yes—
590C22×D4C2414yes—
591C22×D4C2414yes—
592C22×D4C2414yes—
593C22×D4C2414yes—
594C23×C4—24no—
595C23×C4—24no—
596C23×C4—24no—
597C23×C4—24no—
598C23×C4—24no—
599C23×C4—24no—
600C23×C4—24no—
601C23×C4—24no—
602C23×C4—24no—
603C23×C4—24no—
604C23×C4—24no—
605C23×C4—232no—
606C23×C4—24no—
607C23×C4—24no—
608C23×C4—24no—
609C23×C4—24no—
610C23×C4—24no—
611C23×C4—416no—
612C23×C4—42no—
613C23×C4—42no—
614C23×C4—42no—
615C23×C4—42no—
616C23×C4—42no—
617C23×C4—42no—
618C23×C4—42no—
619C23×C4—416no—
620C23×C4—42no—
621C23×C4—42no—
622C23×C4—42no—
623C23×C4—42no—
624C23×C4—42no—
625C23×C4—42no—
626C23×C4—42no—
627C23×C4—42no—
628C23×C4—42no—
629C23×C4—42no—
630C23×C4—42no—
631C23×C4—42no—
632C23×C4—42no—
633C23×C4—42no—
634C23×C4—42no—
635C23×C4—42no—
636C23×C4—42no—
637C23×C4—42no—
638C23×C4—464no—
639C23×C4#4118yes—
640C23×C4C2414yes—
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2414yes—
664C23×C4C2414yes—
665C23×C4C2414yes—
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2414yes—
671C23×C4C2414yes—
672C23×C4C2414yes—
673C23×C4C2414yes—
674C23×C4C2414yes—
675C23×C4C2414yes—
676C23×C4C2414yes—
677C23×C4C2414yes—
678C23×C4C2414yes—
679C23×C4C2414yes—
680#126—416no—
681#125—416no—
682#123—232no—
683#123—416no—
684#123—416no—
685#123—416no—
686#123—416no—
687#121—232no—
688#121—416no—
689#120—232no—
690#120—416no—
691C4×D4—232no—
692C4×D4—232no—
693C4×D4—416no—
694C4×D4—416no—
695C4×D4—416no—
696C4×D4—416no—
697C2×C4⋊C4—24no—
698C2×C4⋊C4—24no—
699C2×C4⋊C4—24no—
700C2×C4⋊C4—24no—
701C2×C4⋊C4—24no—
702C2×C4⋊C4—24no—
703C2×C4⋊C4—24no—
704C2×C4⋊C4—24no—
705C2×C4⋊C4—24no—
706C2×C4⋊C4—416no—
707C2×C4⋊C4—42no—
708C2×C4⋊C4—42no—
709C2×C4⋊C4—42no—
710C2×C4⋊C4—42no—
711C2×C4⋊C4—42no—
712C2×C4⋊C4—42no—
713C2×C4⋊C4—416no—
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⋊C4—42no—
730C2×C4⋊C4—42no—
731C2×C4⋊C4—42no—
732C2×C4⋊C4—42no—
733C2×C4⋊C4—42no—
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×C4⋊C4C2414yes—
756C2×C4⋊C4C2414yes—
757C2×C4⋊C4C2414yes—
758C2×C4⋊C4C2414yes—
759C2×C4⋊C4C2414yes—
760C2×C4⋊C4C2414yes—
761C2×C4⋊C4C2414yes—
762C2×C4⋊C4C2414yes—
763C2×C4⋊C4C2414yes—
764C2×C4⋊C4C2414yes—
765C2×C4⋊C4C2414yes—
766C2×C4⋊C4C2414yes—
767C2×C4⋊C4C2414yes—
768C2×C4⋊C4C2414yes—
769C2×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—24no—
782C2×C22⋊C4—24no—
783C2×C22⋊C4—24no—
784C2×C22⋊C4—24no—
785C2×C22⋊C4—24no—
786C2×C22⋊C4—24no—
787C2×C22⋊C4—24no—
788C2×C22⋊C4—24no—
789C2×C22⋊C4—24no—
790C2×C22⋊C4—24no—
791C2×C22⋊C4—24no—
792C2×C22⋊C4—24no—
793C2×C22⋊C4—416no—
794C2×C22⋊C4—416no—
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⋊C4—42no—
814C2×C22⋊C4—42no—
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×C42—24no—
860C2×C42—24no—
861C2×C42—42no—
862C2×C42—42no—
863C2×C42—42no—
864C2×C42—42no—
865C2×C42—42no—
866C2×C42—42no—
867C2×C42C2414yes—
868C2×C42C2414yes—
869C2×C42C2414yes—
870C2×C42C2414yes—
871C2×C42C2414yes—
872C2×C42C2414yes—
873C2×C42C2414yes—
874C2×C42C2414yes—
875#95C2414yes—
876#95C2414yes—
877#95C2414yes—
878#95C2414yes—
879#95C2414yes—
880#95C2414yes—
881#95C2414yes—
882#95C2414yes—
883#95C2414yes—
884#95C2414yes—
885#95C2414yes—
886#95C2414yes—
887#95C2414yes—
888#95C2414yes—
889#95C2414yes—
890#95C2414yes—
891#95C2414yes—
892#95C2414yes—
893#95C2414yes—
894#95C2414yes—
895#95C2414yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899#95C2414yes—
900#95C2414yes—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921C24—22no—
922C24—22no—
923C24—22no—
924C24—22no—
925C24—232no—
926C24—22no—
927C24—22no—
928C24—22no—
929C24—28no—
930C24—22no—
931C24—22no—
932C24—28no—
933C24—22no—
934C24—22no—
935C24—22no—
936C24—22no—
937C24—22no—
938C24—22no—
939C24—22no—
940C24—22no—
941C24—28no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—22no—
946C24—22no—
947C24—22no—
948C24—22no—
949C24—28no—
950C24—22no—
951C24—22no—
952C24—22no—
953C24—28no—
954C24—22no—
955C24—22no—
956C24—44no—
957C24—44no—
958C24—416no—
959C24—416no—
960C24—416no—
961C24—416no—
962C24—416no—
963C24—416no—
964C24C2×#4114yes—
965C24C2×#4114yes—
966C24C2×#4114yes—
967C24H(5,𝔽2)14yes—
968C24H(5,𝔽2)14yes—
969C242−1+414yes—
970C24C2512yes—
971C24C2512yes—
972C24C2512yes—
973C24C2512yes—
974C24C2512yes—
975C24C2511yescharacteristic
976C2×D4—232no—
977C2×D4—28no—
978C2×D4—28no—
979C2×D4—28no—
980C2×D4—28no—
981C2×D4—28no—
982C2×D4—28no—
983C2×D4—28no—
984C2×D4—28no—
985C2×D4—28no—
986C2×D4—28no—
987C2×D4—28no—
988C2×D4—28no—
989C2×D4—44no—
990C2×D4—44no—
991C2×D4—44no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—44no—
997C2×D4—416no—
998C2×D4—416no—
999C2×D4—416no—
1000C2×D4—88no—
1001C2×D4—88no—
1002C2×D4—88no—
1003C2×D4C2×#41116yes—
1004C22×C4—232no—
1005C22×C4—22no—
1006C22×C4—22no—
1007C22×C4—22no—
1008C22×C4—22no—
1009C22×C4—28no—
1010C22×C4—22no—
1011C22×C4—22no—
1012C22×C4—22no—
1013C22×C4—22no—
1014C22×C4—28no—
1015C22×C4—28no—
1016C22×C4—22no—
1017C22×C4—22no—
1018C22×C4—22no—
1019C22×C4—22no—
1020C22×C4—22no—
1021C22×C4—22no—
1022C22×C4—22no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—22no—
1029C22×C4—22no—
1030C22×C4—22no—
1031C22×C4—28no—
1032C22×C4—22no—
1033C22×C4—22no—
1034C22×C4—22no—
1035C22×C4—22no—
1036C22×C4—22no—
1037C22×C4—22no—
1038C22×C4—22no—
1039C22×C4—22no—
1040C22×C4—22no—
1041C22×C4—22no—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—28no—
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—28no—
1085C22×C4—28no—
1086C22×C4—28no—
1087C22×C4—28no—
1088C22×C4—28no—
1089C22×C4—28no—
1090C22×C4—28no—
1091C22×C4—28no—
1092C22×C4—28no—
1093C22×C4—28no—
1094C22×C4—28no—
1095C22×C4—416no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4—44no—
1102C22×C4—44no—
1103C22×C4—416no—
1104C22×C4—44no—
1105C22×C4—44no—
1106C22×C4—44no—
1107C22×C4—44no—
1108C22×C4—44no—
1109C22×C4—44no—
1110C22×C4—44no—
1111C22×C4—44no—
1112C22×C4—44no—
1113C22×C4—44no—
1114C22×C4—44no—
1115C22×C4—44no—
1116C22×C4—44no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—44no—
1122C22×C4—416no—
1123C22×C4—416no—
1124C22×C4—4128no—
1125C22×C4—416no—
1126C22×C4—88no—
1127C22×C4—88no—
1128C22×C4—88no—
1129C22×C4—88no—
1130C22×C4—88no—
1131C22×C4—88no—
1132C22×C4—88no—
1133C22×C4—88no—
1134C22×C4C2×#4114yes—
1135C22×C4C2×#4114yes—
1136C22×C4C2×#4114yes—
1137C22×C4C2×#41116yes—
1138C22×C4H(5,𝔽2)14yes—
1139C22×C4C2512yes—
1140C22×C4C2512yes—
1141C22×C4C2512yes—
1142C22×C4C2512yes—
1143C22×C4C2512yes—
1144C22×C4C2512yes—
1145C22×C4C2512yes—
1146C22×C4C2512yes—
1147C22×C4C2512yes—
1148C22×C4C2512yes—
1149C22×C4C2512yes—
1150C22×C4C2512yes—
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2512yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2512yes—
1158C22×C4C2512yes—
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C4⋊C4—28no—
1166C4⋊C4—28no—
1167C4⋊C4—28no—
1168C4⋊C4—28no—
1169C4⋊C4—28no—
1170C4⋊C4—28no—
1171C4⋊C4—28no—
1172C4⋊C4—28no—
1173C4⋊C4—28no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C22⋊C4—28no—
1201C22⋊C4—28no—
1202C22⋊C4—28no—
1203C22⋊C4—28no—
1204C22⋊C4—28no—
1205C22⋊C4—28no—
1206C22⋊C4—28no—
1207C22⋊C4—28no—
1208C22⋊C4—28no—
1209C22⋊C4—28no—
1210C22⋊C4—28no—
1211C22⋊C4—28no—
1212C22⋊C4—28no—
1213C22⋊C4—28no—
1214C22⋊C4—28no—
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—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C42—28no—
1245C42—28no—
1246C42—44no—
1247C42—44no—
1248C42—44no—
1249C42—44no—
1250C42—44no—
1251C42—44no—
1252C23—22no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—28no—
1257C23—28no—
1258C23—28no—
1259C23—28no—
1260C23—28no—
1261C23—28no—
1262C23—232no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—22no—
1277C23—22no—
1278C23—22no—
1279C23—22no—
1280C23—22no—
1281C23—28no—
1282C23—28no—
1283C23—28no—
1284C23—28no—
1285C23—28no—
1286C23—28no—
1287C23—28no—
1288C23—28no—
1289C23—28no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—416no—
1298C23—416no—
1299C23—416no—
1300C23—416no—
1301C23—416no—
1302C23—4128no—
1303C23—416no—
1304C23—44no—
1305C23—44no—
1306C23—44no—
1307C23—44no—
1308C23—44no—
1309C23—44no—
1310C23—44no—
1311C23—44no—
1312C23—44no—
1313C23—44no—
1314C23—44no—
1315C23—44no—
1316C23—44no—
1317C23—44no—
1318C23—44no—
1319C23—44no—
1320C23—44no—
1321C23—44no—
1322C23—44no—
1323C23#539116yes—
1324C23C22×#4114yes—
1325C23C22×#4114yes—
1326C23C22×#4114yes—
1327C23C22×#4112yes—
1328C23C22×#4112yes—
1329C23C2×H(5,𝔽2)14yes—
1330C23C2×H(5,𝔽2)14yes—
1331C23C2×H(5,𝔽2)12yes—
1332C23C2×H(5,𝔽2)12yes—
1333C23C2×H(5,𝔽2)12yes—
1334C23C2×2−1+414yes—
1335C23C2×2−1+412yes—
1336C23#58512yes—
1337C23C2611yescharacteristic
1338D4—232no—
1339D4—416no—
1340D4—416no—
1341D4—416no—
1342D4—88no—
1343D4—88no—
1344D4—88no—
1345C2×C4—232no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—28no—
1355C2×C4—28no—
1356C2×C4—28no—
1357C2×C4—28no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—416no—
1425C2×C4—416no—
1426C2×C4—416no—
1427C2×C4—416no—
1428C2×C4—416no—
1429C2×C4—44no—
1430C2×C4—44no—
1431C2×C4—44no—
1432C2×C4—44no—
1433C2×C4—44no—
1434C2×C4—44no—
1435C2×C4—44no—
1436C2×C4—44no—
1437C2×C4—44no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—88no—
1452C2×C4—88no—
1453C2×C4—88no—
1454C2×C4—88no—
1455C2×C4—88no—
1456C2×C4—88no—
1457C2×C4—88no—
1458C2×C4—88no—
1459C2×C4C22×#4114yes—
1460C2×C4C22×#4114yes—
1461C2×C4C22×#4114yes—
1462C2×C4C2×H(5,𝔽2)14yes—
1463C22—24no—
1464C22—24no—
1465C22—232no—
1466C22—24no—
1467C22—24no—
1468C22—24no—
1469C22—24no—
1470C22—24no—
1471C22—24no—
1472C22—24no—
1473C22—24no—
1474C22—24no—
1475C22—24no—
1476C22—24no—
1477C22—24no—
1478C22—24no—
1479C22—464no—
1480C22—42no—
1481C22—42no—
1482C22—42no—
1483C22—42no—
1484C22—42no—
1485C22—416no—
1486C22—416no—
1487C22—416no—
1488C22—42no—
1489C22—42no—
1490C22—42no—
1491C22—42no—
1492C22—42no—
1493C22—42no—
1494C22—42no—
1495C22—42no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22—88no—
1503C22C2×#53918yes—
1504C22C2×#53914yes—
1505C22#347514yes—
1506C22#349014yes—
1507C22#349214yes—
1508C22#351914yes—
1509C22#353414yes—
1510C22#354114yes—
1511C22C23×#4111yescharacteristic
1512C22C23×#4111yescharacteristic
1513C22C22×H(5,𝔽2)11yescharacteristic
1514C22C22×H(5,𝔽2)11yescharacteristic
1515C22C22×H(5,𝔽2)11yescharacteristic
1516C22C22×2−1+411yescharacteristic
1517C22C2×#58511yescharacteristic
1518C4—24no—
1519C4—24no—
1520C4—24no—
1521C4—24no—
1522C4—42no—
1523C4—42no—
1524C4—42no—
1525C4—42no—
1526C4—42no—
1527C4—42no—
1528C4—42no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—42no—
1534C4—42no—
1535C4—42no—
1536C4—42no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C2—28no—
1545C2—44no—
1546C2—44no—
1547C2—44no—
1548C2—82no—
1549C2#3790818yesdirect product factor
1550C2C22×#53911yescharacteristic
1551C2C2×#347511yescharacteristic
1552C2C2×#354111yescharacteristic
1553C2C2×#353411yescharacteristic
1554C2C2×#349011yescharacteristic
1555C2C2×#349211yescharacteristic
1556C2C2×#351911yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2424C2
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×#2787C2semidirect
2. C2×#2781C2semidirect
3. C2×#2746C2semidirect
4. C2×#2744C2semidirect
5. C2×#2708C2semidirect
6. C2×#2695C2semidirect
7. C2×#2694C2semidirect
8. C2×#2693C2semidirect
9. #37908C2direct (N × H)
10. C2×#2849C2semidirect
11. C2×#2577C2semidirect
12. C2×#2579C2semidirect
13. C2×#2579C2semidirect
14. C2×#2553C2semidirect
15. C2×#2510C2semidirect
16. C2×#2505C2semidirect
17. C2×#2425C2semidirect
18. C2×#2460C2semidirect
19. C2×#2480C2semidirect
20. C2×#2473C2semidirect
22. C2×#2443C2semidirect
23. C2×#2418C2semidirect
24. C2×#2418C2semidirect
25. C2×#2667C2semidirect
26. C2×#2630C2semidirect
27. C2×#2364C2semidirect
28. C2×#2349C2semidirect
29. C2×#2335C2semidirect
30. C2×#2318C2semidirect
31. C2×C4×#120C2semidirect
32. C22×#380C2semidirect
35. C22×#125C22semidirect
40. C22×#123C22semidirect
55. #2849C22semidirect
56. #2787C22semidirect
57. #2781C22semidirect
58. #2746C22semidirect
59. #2744C22semidirect
60. #2708C22semidirect
61. #2695C22semidirect
62. #2694C22semidirect
63. #2693C22semidirect
64. #2667C22semidirect
65. #2630C22semidirect
66. #2579C22semidirect
67. #2579C22semidirect
68. #2577C22semidirect
69. #2553C22semidirect
70. #2510C22semidirect
71. #2505C22semidirect
72. #2480C22semidirect
73. #2473C22semidirect
74. #2460C22semidirect
75. #2443C22semidirect
76. #2425C22semidirect
78. #2418C22semidirect
79. #2418C22semidirect
80. C2×#401C22semidirect
81. C2×#400C22semidirect
82. C2×#400C22semidirect
83. C2×#400C22semidirect
84. C2×#400C22semidirect
85. C2×#400C22semidirect
88. C2×#399C22semidirect
89. C2×#398C22semidirect
90. C2×#398C22semidirect
91. C2×#398C22semidirect
92. C2×#398C22semidirect
93. C2×#398C22semidirect
94. C2×#398C22semidirect
95. C2×#398C22semidirect
96. C2×#398C22semidirect
97. C2×#398C22semidirect
103. C2×#397C22semidirect
104. C2×#397C22semidirect
105. C2×#397C22semidirect
108. C2×#396C22semidirect
109. C2×#396C22semidirect
110. C2×#396C22semidirect
111. C2×#396C22semidirect
118. C2×#394C22semidirect
120. #2364C22semidirect
121. #2349C22semidirect
122. #2335C22semidirect
123. #2318C22semidirect
124. C4×#120C22semidirect
126. C2×#389C22semidirect
127. C2×#389C22semidirect
128. C2×#389C22semidirect
129. C2×#389C22semidirect
138. C2×#388C22semidirect
139. C2×#388C22semidirect
140. C2×#388C22semidirect
141. C2×#388C22semidirect
142. C2×#388C22semidirect
143. C2×#387C22semidirect
144. C2×#387C22semidirect
145. C2×#387C22semidirect
146. C2×#387C22semidirect
147. C2×#387C22semidirect
148. C2×#387C22semidirect
149. C2×#387C22semidirect
150. C2×#387C22semidirect
151. C2×#387C22semidirect
152. C2×#387C22semidirect
153. C2×#387C22semidirect
154. C2×#387C22semidirect
168. C2×#386C22semidirect
169. C2×#386C22semidirect
182. C2×#385C22semidirect
183. C2×#385C22semidirect
184. C2×#385C22semidirect
185. C2×#385C22semidirect
186. C2×#385C22semidirect
187. C2×#385C22semidirect
188. C2×#385C22semidirect
189. C2×#383C22semidirect
190. C2×#382C22semidirect
191. C2×#382C22semidirect
205. C2×#380C22semidirect
206. C2×#380C22semidirect
209. C2×C4×C4⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
218. C22×#95C22semidirect
248. C2×#125C23semidirect
258. C2×#123C23semidirect
374. #401C23semidirect
375. #400C23semidirect
376. #400C23semidirect
377. #400C23semidirect
378. #400C23semidirect
379. #400C23semidirect
382. #399C23semidirect
383. #398C23semidirect
384. #398C23semidirect
385. #398C23semidirect
386. #398C23semidirect
387. #398C23semidirect
388. #398C23semidirect
389. #398C23semidirect
390. #398C23semidirect
391. #398C23semidirect
397. #397C23semidirect
398. #397C23semidirect
399. #397C23semidirect
402. #396C23semidirect
403. #396C23semidirect
404. #396C23semidirect
405. #396C23semidirect
412. #394C23semidirect
415. #389C23semidirect
416. #389C23semidirect
417. #389C23semidirect
418. #389C23semidirect
427. #388C23semidirect
428. #388C23semidirect
429. #388C23semidirect
430. #388C23semidirect
431. #388C23semidirect
432. #387C23semidirect
433. #387C23semidirect
434. #387C23semidirect
435. #387C23semidirect
436. #387C23semidirect
437. #387C23semidirect
438. #387C23semidirect
439. #387C23semidirect
440. #387C23semidirect
441. #387C23semidirect
442. #387C23semidirect
443. #387C23semidirect
457. #386C23semidirect
458. #386C23semidirect
471. #385C23semidirect
472. #385C23semidirect
473. #385C23semidirect
474. #385C23semidirect
475. #385C23semidirect
476. #385C23semidirect
477. #385C23semidirect
478. #383C23semidirect
479. #382C23semidirect
480. #382C23semidirect
494. #380C23semidirect
497. C4×C4⋊C4C23semidirect
502. C4×C22⋊C4C23semidirect
503. C4×C22⋊C4C23semidirect
552. C2×#95C23semidirect
1549. C2#37908direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27872
C2×#27812
C2×#27462
C2×#27442
C2×#27082
C2×#26952
C2×#26942
C2×#26932
#379082
C2×#28492
C2×#25772
C2×#25792
C2×#25532
C2×#25102
C2×#25052
C2×#24252
C2×#24602
C2×#24802
C2×#24732
C2×#24242
C2×#24432
C2×#24182
C2×#26672
C2×#26302
C2×#23642
C2×#23492
C2×#23352
C2×#23182
C2×C4×#1202
C22×#3802