Finite Group Databasebeta

← C2×#38460 #7635749

Subgroups — C2×#38460 #7635749

Order 512.

7284 conjugacy classes of subgroups.

The subgroup lattice has 1612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2803C211yesmaximal, characteristic, complemented
2C2×#2800C211yesmaximal, characteristic, complemented
3C2×#2780C211yesmaximal, characteristic, complemented
4C2×#2761C211yesmaximal, characteristic, complemented
5C2×#2753C211yesmaximal, characteristic, complemented
6C2×#2711C211yesmaximal, characteristic, complemented
7C2×#2707C211yesmaximal, characteristic, complemented
8C2×#2701C211yesmaximal, characteristic, complemented
9#38460C2132yesmaximal, direct product factor
10C2×#2851C211yesmaximal, characteristic, complemented
11C2×#2534C211yesmaximal, characteristic, complemented
12C2×#2534C211yesmaximal, characteristic, complemented
13C2×#2484C211yesmaximal, characteristic, complemented
14C2×#2482C211yesmaximal, characteristic, complemented
15C2×#2526C211yesmaximal, characteristic, complemented
16C2×#2531C211yesmaximal, characteristic, complemented
17C2×#2483C211yesmaximal, characteristic, complemented
18C2×#2413C211yesmaximal, characteristic, complemented
19C2×#2411C211yesmaximal, characteristic, complemented
20C2×#2471C211yesmaximal, characteristic, complemented
21C2×#2476C211yesmaximal, characteristic, complemented
22C2×#2412C211yesmaximal, characteristic, complemented
23C2×#2405C211yesmaximal, characteristic, complemented
24C2×#2410C211yesmaximal, characteristic
25C2×#2651C211yesmaximal, characteristic, complemented
26C2×#2648C211yesmaximal, characteristic, complemented
27C2×#2342C211yesmaximal, characteristic, complemented
28C2×#2342C211yesmaximal, characteristic, complemented
29C2×#2335C211yesmaximal, characteristic, complemented
30C2×#2333C211yesmaximal, characteristic, complemented
31C22×#390C211yesmaximal, characteristic, complemented
32C2×#2290C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C22×#125C2211yescharacteristic, complemented
35C22×#123C2211yescharacteristic
36C22×#123C2211yescharacteristic
37C22×#123C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×#120C2211yescharacteristic
42C22×#120C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44C22×#117C2211yescharacteristic
45C22×#117C2211yescharacteristic
46C22×#117C2211yescharacteristic, complemented
47C23×C4⋊C4C2211yescharacteristic
48C23×C22⋊C4C2211yescharacteristic
49C23×C22⋊C4C2211yescharacteristic
50C23×C22⋊C4C2211yescharacteristic
51C23×C22⋊C4C2211yescharacteristic
52C23×C22⋊C4C2211yescharacteristic
53C23×C22⋊C4C2211yescharacteristic
54C23×C42C2211yescharacteristic
55#2851C22116yescomplemented
56#2803C22116yescomplemented
57#2800C22116yescomplemented
58#2780C22116yescomplemented
59#2761C22116yescomplemented
60#2753C22116yescomplemented
61#2711C22116yescomplemented
62#2707C22116yescomplemented
63#2701C22116yescomplemented
64#2651C22116yescomplemented
65#2648C22116yescomplemented
66#2534C22116yescomplemented
67#2534C22116yescomplemented
68#2531C22116yescomplemented
69#2526C22116yescomplemented
70#2484C22116yescomplemented
71#2483C22116yescomplemented
72#2482C22116yescomplemented
73#2476C22116yescomplemented
74#2471C22116yescomplemented
75#2413C22116yescomplemented
76#2412C22116yescomplemented
77#2411C22116yescomplemented
78#2410C22116yes—
79#2405C22116yescomplemented
80C2×#400C2211yescharacteristic, complemented
81C2×#400C2211yescharacteristic, complemented
82C2×#399C2211yescharacteristic, complemented
83C2×#399C2211yescharacteristic, complemented
84C2×#398C2211yescharacteristic, complemented
85C2×#398C2211yescharacteristic, complemented
86C2×#398C2211yescharacteristic, complemented
87C2×#398C2211yescharacteristic, complemented
88C2×#397C2211yescharacteristic, complemented
89C2×#397C2211yescharacteristic, complemented
90C2×#397C2211yescharacteristic, complemented
91C2×#397C2211yescharacteristic, complemented
92C2×#397C2211yescharacteristic, complemented
93C2×#397C2211yescharacteristic, complemented
94C2×#397C2211yescharacteristic, complemented
95C2×#397C2211yescharacteristic, complemented
96C2×#396C2211yescharacteristic, complemented
97C2×#396C2211yescharacteristic, complemented
98C2×#396C2211yescharacteristic, complemented
99C2×#396C2211yescharacteristic, complemented
100C2×#396C2211yescharacteristic, complemented
101C2×#396C2211yescharacteristic, complemented
102C2×#396C2211yescharacteristic, complemented
103C2×#396C2211yescharacteristic, complemented
104C2×#394C2211yescharacteristic
105C2×#394C2211yescharacteristic
106C2×#394C2211yescharacteristic
107C2×#394C2211yescharacteristic
108C2×#394C2211yescharacteristic
109C2×#394C2211yescharacteristic
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×#392C2211yescharacteristic
119C2×#392C2211yescharacteristic
120#2342C22116yescomplemented
121#2342C22116yescomplemented
122#2335C22116yescomplemented
123#2333C22116yescomplemented
124C2×#390C2211yescharacteristic
125C2×#390C2211yescharacteristic
126C2×#390C2211yescharacteristic
127C2×#390C2211yescharacteristic
128C2×#390C2211yescharacteristic
129C2×#390C2211yescharacteristic
130C2×#390C2211yescharacteristic
131C2×#390C2211yescharacteristic
132C2×#390C22116yescomplemented
133C2×#390C2211yescharacteristic, complemented
134C2×#390C2211yescharacteristic, complemented
135C2×#389C2211yescharacteristic, complemented
136C2×#389C2211yescharacteristic, complemented
137C2×#389C2211yescharacteristic, complemented
138C2×#389C2211yescharacteristic, complemented
139#2290C22116yescomplemented
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×#388C2211yescharacteristic, complemented
158C2×#388C2211yescharacteristic, complemented
159C2×#388C2211yescharacteristic, complemented
160C2×#388C2211yescharacteristic, complemented
161C2×#388C2211yescharacteristic, complemented
162C2×#387C2211yescharacteristic, complemented
163C2×#387C2211yescharacteristic, complemented
164C2×#387C2211yescharacteristic, complemented
165C2×#387C2211yescharacteristic, complemented
166C2×#387C2211yescharacteristic, complemented
167C2×#387C2211yescharacteristic, complemented
168C2×#387C2211yescharacteristic, complemented
169C2×#387C2211yescharacteristic, complemented
170C2×#387C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic, complemented
179C2×#386C2211yescharacteristic, complemented
180C2×#386C2211yescharacteristic, complemented
181C2×#386C2211yescharacteristic, complemented
182C2×#386C2211yescharacteristic, complemented
183C2×#386C2211yescharacteristic, complemented
184C2×#385C2211yescharacteristic
185C2×#385C2211yescharacteristic
186C2×#385C2211yescharacteristic
187C2×#385C2211yescharacteristic
188C2×#385C2211yescharacteristic
189C2×#385C2211yescharacteristic
190C2×#385C2211yescharacteristic, complemented
191C2×#385C2211yescharacteristic, complemented
192C2×#385C2211yescharacteristic, complemented
193C2×#385C2211yescharacteristic, complemented
194C2×#385C2211yescharacteristic, complemented
195C2×#385C2211yescharacteristic, complemented
196C2×#382C2211yescharacteristic, complemented
197C2×#381C2211yescharacteristic
198C2×#381C2211yescharacteristic
199C2×#381C2211yescharacteristic
200C2×#381C2211yescharacteristic
201C2×#381C2211yescharacteristic, complemented
202C2×#381C2211yescharacteristic, complemented
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic
205C2×#380C2211yescharacteristic, complemented
206C2×#380C2211yescharacteristic, complemented
207C2×#379C2211yescharacteristic
208C2×#379C2211yescharacteristic
209C2×#379C2211yescharacteristic
210C2×#379C2211yescharacteristic
211C2×C4×C4⋊C4C2211yescharacteristic, complemented
212C2×C4×C22⋊C4C2211yescharacteristic
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×#376C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×D4—28no—
222C23×D4—44no—
223C23×D4—44no—
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2318yes—
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C2×#125—44no—
245C2×#125C2318yescomplemented
246C2×#123—28no—
247C2×#123—44no—
248C2×#123—44no—
249C2×#123—44no—
250C2×#123C2318yes—
251C2×#123C2318yes—
252C2×#123C2318yes—
253C2×#123C2318yes—
254C2×#121—28no—
255C2×#121—44no—
256C2×#121C2318yes—
257C2×#121C2318yes—
258C2×#120—44no—
259C2×#120—44no—
260C2×#120C2318yes—
261C2×#120C2318yes—
262C2×C4×D4—28no—
263C2×C4×D4C2318yes—
264C2×#117—44no—
265C2×#117—44no—
266C2×#117—44no—
267C2×#117C2318yes—
268C2×#117C2318yes—
269C2×#117C2318yescomplemented
270C22×C4⋊C4—44no—
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2318yes—
300C22×C4⋊C4C2311yescharacteristic
301C22×C22⋊C4—28no—
302C22×C22⋊C4—28no—
303C22×C22⋊C4—44no—
304C22×C22⋊C4—44no—
305C22×C22⋊C4—44no—
306C22×C22⋊C4—44no—
307C22×C22⋊C4C2318yes—
308C22×C22⋊C4C2318yes—
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊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⋊C4C2318yes—
332C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
366C22×C22⋊C4C2318yes—
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2311yescharacteristic
369C22×C42—44no—
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2318yes—
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382#400C2318yescomplemented
383#400C2318yescomplemented
384#399C2318yescomplemented
385#399C2318yescomplemented
386#398C2318yescomplemented
387#398C2318yescomplemented
388#398C2318yescomplemented
389#398C2318yescomplemented
390#397C2318yescomplemented
391#397C2318yescomplemented
392#397C2318yescomplemented
393#397C2318yescomplemented
394#397C2318yescomplemented
395#397C2318yescomplemented
396#397C2318yescomplemented
397#397C2318yescomplemented
398#396C2318yescomplemented
399#396C2318yescomplemented
400#396C2318yescomplemented
401#396C2318yescomplemented
402#396C2318yescomplemented
403#396C2318yescomplemented
404#396C2318yescomplemented
405#396C2318yescomplemented
406#394C2318yes—
407#394C2318yes—
408#394C2318yes—
409#394C2318yes—
410#394C2318yes—
411#394C2318yes—
412#394C2318yescomplemented
413#394C2318yescomplemented
414#394C2318yescomplemented
415#394C2318yescomplemented
416#394C2318yescomplemented
417#394C2318yescomplemented
418#394C2318yescomplemented
419#394C2318yescomplemented
420#392C2318yes—
421#392C2318yes—
422#390C2318yes—
423#390C2318yes—
424#390C2318yes—
425#390C2318yes—
426#390C2318yes—
427#390C2318yes—
428#390C2318yes—
429#390C2318yes—
430#390C2318yescomplemented
431#390C2318yescomplemented
432#389C2318yescomplemented
433#389C2318yescomplemented
434#389C2318yescomplemented
435#389C2318yescomplemented
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#388C2318yescomplemented
452#388C2318yescomplemented
453#388C2318yescomplemented
454#388C2318yescomplemented
455#388C2318yescomplemented
456#388C2318yescomplemented
457#388C2318yescomplemented
458#387C2318yescomplemented
459#387C2318yescomplemented
460#387C2318yescomplemented
461#387C2318yescomplemented
462#387C2318yescomplemented
463#387C2318yescomplemented
464#387C2318yescomplemented
465#387C2318yescomplemented
466#387C2318yescomplemented
467#387C2318yescomplemented
468#386C2318yes—
469#386C2318yes—
470#386C2318yes—
471#386C2318yes—
472#386C2318yes—
473#386C2318yes—
474#386C2318yescomplemented
475#386C2318yescomplemented
476#386C2318yescomplemented
477#386C2318yescomplemented
478#386C2318yescomplemented
479#386C2318yescomplemented
480#385C2318yes—
481#385C2318yes—
482#385C2318yes—
483#385C2318yes—
484#385C2318yes—
485#385C2318yes—
486#385C2318yescomplemented
487#385C2318yescomplemented
488#385C2318yescomplemented
489#385C2318yescomplemented
490#385C2318yescomplemented
491#385C2318yescomplemented
492#382C2318yescomplemented
493#381C2318yes—
494#381C2318yes—
495#381C2318yes—
496#381C2318yes—
497#381C2318yescomplemented
498#381C2318yescomplemented
499#380C2318yes—
500#380C2318yes—
501#380C2318yescomplemented
502#380C2318yescomplemented
503#379C2318yes—
504#379C2318yes—
505#379C2318yes—
506#379C2318yes—
507C4×C4⋊C4C2318yescomplemented
508C4×C22⋊C4C2318yes—
509C4×C22⋊C4C2318yescomplemented
510C4×C22⋊C4C2318yescomplemented
511C4×C22⋊C4C2318yescomplemented
512C4×C22⋊C4C2318yescomplemented
513C4×C22⋊C4C2318yescomplemented
514#376C2318yescomplemented
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—24no—
559C25—24no—
560C25—24no—
561C25—42no—
562C25—42no—
563C25—42no—
564C25—42no—
565C25—42no—
566C25—42no—
567C25C2411yescharacteristic
568C25C2411yescharacteristic
569C25C2411yescharacteristic
570C25C2411yescharacteristic
571C25C2411yescharacteristic
572C25C2414yes—
573C25C2414yes—
574C25C2411yescharacteristic
575C22×D4—24no—
576C22×D4—24no—
577C22×D4—24no—
578C22×D4—24no—
579C22×D4—24no—
580C22×D4—24no—
581C22×D4—24no—
582C22×D4—232no—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—416no—
587C22×D4—42no—
588C22×D4—42no—
589C22×D4—42no—
590C22×D4—42no—
591C22×D4—42no—
592C22×D4—42no—
593C22×D4—416no—
594C22×D4—464no—
595C22×D4—42no—
596C22×D4—42no—
597C22×D4—42no—
598C22×D4—42no—
599C22×D4—42no—
600C22×D4—42no—
601C22×D4—42no—
602C22×D4—42no—
603C22×D4—42no—
604C22×D4—42no—
605C22×D4#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—24no—
627C23×C4—24no—
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—42no—
639C23×C4—42no—
640C23×C4—42no—
641C23×C4—42no—
642C23×C4—42no—
643C23×C4—42no—
644C23×C4#4118yes—
645C23×C4C2414yes—
646C23×C4C2414yes—
647C23×C4C2414yes—
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×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2414yes—
674C23×C4C2414yes—
675C23×C4C2414yes—
676C23×C4C2414yes—
677C23×C4C2414yes—
678C23×C4C2414yes—
679C23×C4C2414yes—
680#125—416no—
681#123—232no—
682#123—416no—
683#123—416no—
684#123—416no—
685#121—232no—
686#121—416no—
687#120—416no—
688#120—416no—
689C4×D4—232no—
690#117—416no—
691#117—416no—
692#117—416no—
693C2×C4⋊C4—24no—
694C2×C4⋊C4—24no—
695C2×C4⋊C4—24no—
696C2×C4⋊C4—24no—
697C2×C4⋊C4—24no—
698C2×C4⋊C4—24no—
699C2×C4⋊C4—24no—
700C2×C4⋊C4—42no—
701C2×C4⋊C4—42no—
702C2×C4⋊C4—42no—
703C2×C4⋊C4—42no—
704C2×C4⋊C4—416no—
705C2×C4⋊C4—42no—
706C2×C4⋊C4—42no—
707C2×C4⋊C4—42no—
708C2×C4⋊C4—42no—
709C2×C4⋊C4—42no—
710C2×C4⋊C4—42no—
711C2×C4⋊C4—42no—
712C2×C4⋊C4—42no—
713C2×C4⋊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⋊C4C2414yes—
724C2×C4⋊C4C2414yes—
725C2×C4⋊C4C2414yes—
726C2×C4⋊C4C2414yes—
727C2×C4⋊C4C2414yes—
728C2×C4⋊C4C2414yes—
729C2×C4⋊C4C2414yes—
730C2×C4⋊C4C2414yes—
731C2×C4⋊C4C2414yes—
732C2×C4⋊C4C2414yes—
733C2×C4⋊C4C2414yes—
734C2×C4⋊C4C2414yes—
735C2×C4⋊C4C2414yes—
736C2×C4⋊C4C2414yes—
737C2×C4⋊C4C2414yes—
738C2×C4⋊C4C2414yes—
739C2×C4⋊C4C2414yes—
740C2×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×C22⋊C4—24no—
753C2×C22⋊C4—24no—
754C2×C22⋊C4—24no—
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—232no—
772C2×C22⋊C4—232no—
773C2×C22⋊C4—24no—
774C2×C22⋊C4—24no—
775C2×C22⋊C4—24no—
776C2×C22⋊C4—416no—
777C2×C22⋊C4—416no—
778C2×C22⋊C4—42no—
779C2×C22⋊C4—42no—
780C2×C22⋊C4—42no—
781C2×C22⋊C4—42no—
782C2×C22⋊C4—42no—
783C2×C22⋊C4—42no—
784C2×C22⋊C4—42no—
785C2×C22⋊C4—42no—
786C2×C22⋊C4—42no—
787C2×C22⋊C4—42no—
788C2×C22⋊C4—42no—
789C2×C22⋊C4—42no—
790C2×C22⋊C4—416no—
791C2×C22⋊C4—416no—
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⋊C4—42no—
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×C22⋊C4C2414yes—
870C2×C42—24no—
871C2×C42—24no—
872C2×C42—24no—
873C2×C42—416no—
874C2×C42—42no—
875C2×C42—42no—
876C2×C42—42no—
877C2×C42—42no—
878C2×C42—42no—
879C2×C42—42no—
880C2×C42—42no—
881C2×C42—42no—
882C2×C42C2414yes—
883C2×C42C2414yes—
884C2×C42C2414yes—
885C2×C42C2414yes—
886C2×C42C2414yes—
887C2×C42C2414yes—
888C2×C42C2414yes—
889C2×C42C2414yes—
890C2×C42C2414yes—
891C2×C42C2414yes—
892C2×C42C2414yes—
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—28no—
952C24—28no—
953C24—22no—
954C24—22no—
955C24—22no—
956C24—22no—
957C24—22no—
958C24—22no—
959C24—22no—
960C24—22no—
961C24—22no—
962C24—22no—
963C24—22no—
964C24—22no—
965C24—22no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—28no—
971C24—28no—
972C24—28no—
973C24—28no—
974C24—28no—
975C24—28no—
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—88no—
991C24—88no—
992C24—88no—
993C24—88no—
994C24—88no—
995C24—88no—
996C24C2×#4114yes—
997C24C2×#4114yes—
998C24C2×#4114yes—
999C24H(5,𝔽2)14yes—
1000C24H(5,𝔽2)14yes—
1001C24C2512yes—
1002C24C2512yes—
1003C24C2512yes—
1004C24C2512yes—
1005C24C2512yes—
1006C24C2512yes—
1007C24C2511yescharacteristic
1008C2×D4—28no—
1009C2×D4—28no—
1010C2×D4—28no—
1011C2×D4—28no—
1012C2×D4—28no—
1013C2×D4—28no—
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—28no—
1017C2×D4—28no—
1018C2×D4—416no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—416no—
1026C2×D4—416no—
1027C2×D4—4128no—
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—88no—
1041C2×D4—88no—
1042C2×D4—88no—
1043C2×D4—88no—
1044C2×D4C2×#41116yes—
1045C22×C4—232no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—28no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—28no—
1056C22×C4—28no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—28no—
1062C22×C4—28no—
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—28no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—28no—
1102C22×C4—28no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—28no—
1110C22×C4—28no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—28no—
1128C22×C4—28no—
1129C22×C4—28no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—416no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—416no—
1148C22×C4—416no—
1149C22×C4—416no—
1150C22×C4—416no—
1151C22×C4—88no—
1152C22×C4—88no—
1153C22×C4—88no—
1154C22×C4—88no—
1155C22×C4C2×#4114yes—
1156C22×C4C2×#4114yes—
1157C22×C4C2×#4114yes—
1158C22×C4C2×#41116yes—
1159C22×C4H(5,𝔽2)14yes—
1160C22×C4C2512yes—
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
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—
1185C4⋊C4—28no—
1186C4⋊C4—28no—
1187C4⋊C4—28no—
1188C4⋊C4—28no—
1189C4⋊C4—28no—
1190C4⋊C4—28no—
1191C4⋊C4—28no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
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—
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—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—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
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—
1270C42—28no—
1271C42—28no—
1272C42—28no—
1273C42—44no—
1274C42—44no—
1275C42—44no—
1276C42—44no—
1277C42—44no—
1278C42—44no—
1279C42—44no—
1280C42—44no—
1281C23—22no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—28no—
1286C23—28no—
1287C23—28no—
1288C23—28no—
1289C23—28no—
1290C23—28no—
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—28no—
1304C23—28no—
1305C23—28no—
1306C23—28no—
1307C23—28no—
1308C23—28no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—416no—
1331C23—416no—
1332C23—416no—
1333C23—416no—
1334C23—416no—
1335C23—416no—
1336C23—44no—
1337C23—44no—
1338C23—44no—
1339C23—44no—
1340C23—44no—
1341C23—44no—
1342C23—44no—
1343C23—44no—
1344C23—44no—
1345C23—416no—
1346C23—416no—
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—88no—
1368C23—88no—
1369C23—88no—
1370C23—88no—
1371C23—88no—
1372C23—88no—
1373C23—864no—
1374C23—864no—
1375C23#540116yes—
1376C23C22×#4114yes—
1377C23C22×#4114yes—
1378C23C22×#4114yes—
1379C23C22×#4112yes—
1380C23C22×#4112yes—
1381C23C2×H(5,𝔽2)14yes—
1382C23C2×H(5,𝔽2)14yes—
1383C23C2×H(5,𝔽2)12yes—
1384C23C2×H(5,𝔽2)12yes—
1385C23C2×H(5,𝔽2)12yes—
1386C23#58512yes—
1387C23#58512yes—
1388C23C2611yescharacteristic
1389D4—416no—
1390D4—416no—
1391D4—416no—
1392D4—416no—
1393D4—416no—
1394D4—88no—
1395D4—88no—
1396D4—88no—
1397D4—88no—
1398C2×C4—232no—
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—28no—
1408C2×C4—28no—
1409C2×C4—28no—
1410C2×C4—28no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—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—416no—
1475C2×C4—416no—
1476C2×C4—416no—
1477C2×C4—416no—
1478C2×C4—416no—
1479C2×C4—44no—
1480C2×C4—44no—
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—88no—
1501C2×C4—88no—
1502C2×C4—88no—
1503C2×C4—88no—
1504C2×C4C22×#4114yes—
1505C2×C4C22×#4114yes—
1506C2×C4C22×#4114yes—
1507C2×C4C2×H(5,𝔽2)14yes—
1508C22—24no—
1509C22—24no—
1510C22—24no—
1511C22—24no—
1512C22—232no—
1513C22—24no—
1514C22—24no—
1515C22—24no—
1516C22—24no—
1517C22—24no—
1518C22—24no—
1519C22—24no—
1520C22—24no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—416no—
1526C22—416no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—832no—
1553C22—832no—
1554C22—88no—
1555C22—88no—
1556C22—88no—
1557C22C2×#54018yes—
1558C22C2×#54014yes—
1559C22#347514yes—
1560C22#349014yes—
1561C22#350514yes—
1562C22#351314yes—
1563C22#354214yes—
1564C22#354514yes—
1565C22C23×#4111yescharacteristic
1566C22C23×#4111yescharacteristic
1567C22C22×H(5,𝔽2)11yescharacteristic
1568C22C22×H(5,𝔽2)11yescharacteristic
1569C22C22×H(5,𝔽2)11yescharacteristic
1570C22C2×#58511yescharacteristic
1571C22C2×#58511yescharacteristic
1572C4—24no—
1573C4—24no—
1574C4—24no—
1575C4—24no—
1576C4—42no—
1577C4—42no—
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—
1597C2—28no—
1598C2—44no—
1599C2—44no—
1600C2—82no—
1601C2—82no—
1602C2—82no—
1603C2#3846018yesdirect product factor
1604C2C22×#54011yescharacteristic
1605C2C2×#347511yescharacteristic
1606C2C2×#354211yescharacteristic
1607C2C2×#354511yescharacteristic
1608C2C2×#349011yescharacteristic
1609C2C2×#350511yescharacteristic
1610C2C2×#351311yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#2803C2semidirect
2. C2×#2800C2semidirect
3. C2×#2780C2semidirect
4. C2×#2761C2semidirect
5. C2×#2753C2semidirect
6. C2×#2711C2semidirect
7. C2×#2707C2semidirect
8. C2×#2701C2semidirect
9. #38460C2direct (N × H)
10. C2×#2851C2semidirect
11. C2×#2534C2semidirect
12. C2×#2534C2semidirect
13. C2×#2484C2semidirect
14. C2×#2482C2semidirect
15. C2×#2526C2semidirect
16. C2×#2531C2semidirect
17. C2×#2483C2semidirect
18. C2×#2413C2semidirect
19. C2×#2411C2semidirect
20. C2×#2471C2semidirect
21. C2×#2476C2semidirect
22. C2×#2412C2semidirect
23. C2×#2405C2semidirect
25. C2×#2651C2semidirect
26. C2×#2648C2semidirect
27. C2×#2342C2semidirect
28. C2×#2342C2semidirect
29. C2×#2335C2semidirect
30. C2×#2333C2semidirect
31. C22×#390C2semidirect
32. C2×#2290C2semidirect
34. C22×#125C22semidirect
46. C22×#117C22semidirect
55. #2851C22semidirect
56. #2803C22semidirect
57. #2800C22semidirect
58. #2780C22semidirect
59. #2761C22semidirect
60. #2753C22semidirect
61. #2711C22semidirect
62. #2707C22semidirect
63. #2701C22semidirect
64. #2651C22semidirect
65. #2648C22semidirect
66. #2534C22semidirect
67. #2534C22semidirect
68. #2531C22semidirect
69. #2526C22semidirect
70. #2484C22semidirect
71. #2483C22semidirect
72. #2482C22semidirect
73. #2476C22semidirect
74. #2471C22semidirect
75. #2413C22semidirect
76. #2412C22semidirect
77. #2411C22semidirect
79. #2405C22semidirect
80. C2×#400C22semidirect
81. C2×#400C22semidirect
82. C2×#399C22semidirect
83. C2×#399C22semidirect
84. C2×#398C22semidirect
85. C2×#398C22semidirect
86. C2×#398C22semidirect
87. C2×#398C22semidirect
88. C2×#397C22semidirect
89. C2×#397C22semidirect
90. C2×#397C22semidirect
91. C2×#397C22semidirect
92. C2×#397C22semidirect
93. C2×#397C22semidirect
94. C2×#397C22semidirect
95. C2×#397C22semidirect
96. C2×#396C22semidirect
97. C2×#396C22semidirect
98. C2×#396C22semidirect
99. C2×#396C22semidirect
100. C2×#396C22semidirect
101. C2×#396C22semidirect
102. C2×#396C22semidirect
103. C2×#396C22semidirect
110. C2×#394C22semidirect
111. C2×#394C22semidirect
112. C2×#394C22semidirect
113. C2×#394C22semidirect
114. C2×#394C22semidirect
115. C2×#394C22semidirect
116. C2×#394C22semidirect
117. C2×#394C22semidirect
120. #2342C22semidirect
121. #2342C22semidirect
122. #2335C22semidirect
123. #2333C22semidirect
132. C2×#390C22semidirect
133. C2×#390C22semidirect
134. C2×#390C22semidirect
135. C2×#389C22semidirect
136. C2×#389C22semidirect
137. C2×#389C22semidirect
138. C2×#389C22semidirect
139. #2290C22semidirect
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×#388C22semidirect
158. C2×#388C22semidirect
159. C2×#388C22semidirect
160. C2×#388C22semidirect
161. C2×#388C22semidirect
162. C2×#387C22semidirect
163. C2×#387C22semidirect
164. C2×#387C22semidirect
165. C2×#387C22semidirect
166. C2×#387C22semidirect
167. C2×#387C22semidirect
168. C2×#387C22semidirect
169. C2×#387C22semidirect
170. C2×#387C22semidirect
171. C2×#387C22semidirect
178. C2×#386C22semidirect
179. C2×#386C22semidirect
180. C2×#386C22semidirect
181. C2×#386C22semidirect
182. C2×#386C22semidirect
183. C2×#386C22semidirect
190. C2×#385C22semidirect
191. C2×#385C22semidirect
192. C2×#385C22semidirect
193. C2×#385C22semidirect
194. C2×#385C22semidirect
195. C2×#385C22semidirect
196. C2×#382C22semidirect
201. C2×#381C22semidirect
202. C2×#381C22semidirect
205. C2×#380C22semidirect
206. C2×#380C22semidirect
211. C2×C4×C4⋊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×#376C22semidirect
245. C2×#125C23semidirect
269. C2×#117C23semidirect
382. #400C23semidirect
383. #400C23semidirect
384. #399C23semidirect
385. #399C23semidirect
386. #398C23semidirect
387. #398C23semidirect
388. #398C23semidirect
389. #398C23semidirect
390. #397C23semidirect
391. #397C23semidirect
392. #397C23semidirect
393. #397C23semidirect
394. #397C23semidirect
395. #397C23semidirect
396. #397C23semidirect
397. #397C23semidirect
398. #396C23semidirect
399. #396C23semidirect
400. #396C23semidirect
401. #396C23semidirect
402. #396C23semidirect
403. #396C23semidirect
404. #396C23semidirect
405. #396C23semidirect
412. #394C23semidirect
413. #394C23semidirect
414. #394C23semidirect
415. #394C23semidirect
416. #394C23semidirect
417. #394C23semidirect
418. #394C23semidirect
419. #394C23semidirect
430. #390C23semidirect
431. #390C23semidirect
432. #389C23semidirect
433. #389C23semidirect
434. #389C23semidirect
435. #389C23semidirect
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. #388C23semidirect
452. #388C23semidirect
453. #388C23semidirect
454. #388C23semidirect
455. #388C23semidirect
456. #388C23semidirect
457. #388C23semidirect
458. #387C23semidirect
459. #387C23semidirect
460. #387C23semidirect
461. #387C23semidirect
462. #387C23semidirect
463. #387C23semidirect
464. #387C23semidirect
465. #387C23semidirect
466. #387C23semidirect
467. #387C23semidirect
474. #386C23semidirect
475. #386C23semidirect
476. #386C23semidirect
477. #386C23semidirect
478. #386C23semidirect
479. #386C23semidirect
486. #385C23semidirect
487. #385C23semidirect
488. #385C23semidirect
489. #385C23semidirect
490. #385C23semidirect
491. #385C23semidirect
492. #382C23semidirect
497. #381C23semidirect
498. #381C23semidirect
501. #380C23semidirect
502. #380C23semidirect
507. C4×C4⋊C4C23semidirect
509. C4×C22⋊C4C23semidirect
510. C4×C22⋊C4C23semidirect
511. C4×C22⋊C4C23semidirect
512. C4×C22⋊C4C23semidirect
513. C4×C22⋊C4C23semidirect
514. #376C23semidirect
1603. C2#38460direct (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×#28002
C2×#27802
C2×#27612
C2×#27532
C2×#27112
C2×#27072
C2×#27012
#384602
C2×#28512
C2×#25342
C2×#24842
C2×#24822
C2×#25262
C2×#25312
C2×#24832
C2×#24132
C2×#24112
C2×#24712
C2×#24762
C2×#24122
C2×#24052
C2×#24102
C2×#26512
C2×#26482
C2×#23422
C2×#23352
C2×#23332
C22×#3902
C2×#22902