Finite Group Databasebeta

← C2×#48142 #7703124

Subgroups — C2×#48142 #7703124

Order 512.

6202 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2787C211yesmaximal, characteristic, complemented
2C2×#2778C211yesmaximal, characteristic, complemented
3C2×#2763C211yesmaximal, characteristic, complemented
4C2×#2753C211yesmaximal, characteristic, complemented
5C2×#2741C211yesmaximal, characteristic, complemented
6C2×#2732C211yesmaximal, characteristic, complemented
7C2×#2715C211yesmaximal, characteristic, complemented
8C2×#2711C211yesmaximal, characteristic, complemented
9C2×#2692C211yesmaximal, characteristic, complemented
10C2×#2690C211yesmaximal, characteristic, complemented
11C2×#2686C211yesmaximal, characteristic, complemented
12C2×#2672C211yesmaximal, characteristic, complemented
13#48142C2132yesmaximal, direct product factor
14C2×#2536C211yesmaximal, characteristic, complemented
15C2×#2595C211yesmaximal, characteristic, complemented
16C2×#2576C211yesmaximal, characteristic, complemented
17C2×#2556C211yesmaximal, characteristic, complemented
18C2×#2494C211yesmaximal, characteristic, complemented
19C2×#2521C211yesmaximal, characteristic, complemented
20C2×#2427C211yesmaximal, characteristic, complemented
21C2×#2465C211yesmaximal, characteristic, complemented
22C2×#2480C211yesmaximal, characteristic, complemented
23C2×#2472C211yesmaximal, characteristic, complemented
24C2×#2472C211yesmaximal, characteristic, complemented
25C2×#2472C211yesmaximal, characteristic, complemented
26C2×#2424C211yesmaximal, characteristic
27C2×#2418C211yesmaximal, characteristic, complemented
28C2×#2653C211yesmaximal, characteristic, complemented
29C2×#2638C211yesmaximal, characteristic, complemented
30C2×#2376C211yesmaximal, characteristic, complemented
31C2×#2367C211yesmaximal, characteristic, complemented
32C2×#2315C211yesmaximal, characteristic, complemented
33C22×#126C2211yescharacteristic
34C22×#125C2211yescharacteristic, complemented
35C22×#124C2211yescharacteristic
36C22×#124C2211yescharacteristic
37C22×#124C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic, complemented
43C22×C22⋊Q8C2211yescharacteristic, complemented
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C22×#120C2211yescharacteristic
47C22×#120C2211yescharacteristic
48C22×C4×Q8C2211yescharacteristic, complemented
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51C23×C22⋊C4C2211yescharacteristic
52C23×C22⋊C4C2211yescharacteristic
53C23×C22⋊C4C2211yescharacteristic
54#2787C22116yescomplemented
55#2778C22116yescomplemented
56#2763C22116yescomplemented
57#2753C22116yescomplemented
58#2741C22116yescomplemented
59#2732C22116yescomplemented
60#2715C22116yescomplemented
61#2711C22116yescomplemented
62#2692C22116yescomplemented
63#2690C22116yescomplemented
64#2686C22116yescomplemented
65#2672C22116yescomplemented
66#2653C22116yescomplemented
67#2638C22116yescomplemented
68#2595C22116yescomplemented
69#2576C22116yescomplemented
70#2556C22116yescomplemented
71#2536C22116yescomplemented
72#2521C22116yescomplemented
73#2494C22116yescomplemented
74#2480C22116yescomplemented
75#2472C22116yescomplemented
76#2472C22116yescomplemented
77#2472C22116yescomplemented
78#2465C22116yescomplemented
79#2427C22116yescomplemented
80#2424C22116yes—
81#2418C22116yescomplemented
82C2×#401C2211yescharacteristic, complemented
83C2×#401C2211yescharacteristic, complemented
84C2×#400C2211yescharacteristic, complemented
85C2×#400C2211yescharacteristic, complemented
86C2×#400C2211yescharacteristic, complemented
87C2×#399C2211yescharacteristic
88C2×#399C2211yescharacteristic, complemented
89C2×#399C2211yescharacteristic, complemented
90C2×#398C2211yescharacteristic, complemented
91C2×#398C2211yescharacteristic, complemented
92C2×#398C2211yescharacteristic, complemented
93C2×#398C2211yescharacteristic, complemented
94C2×#397C2211yescharacteristic
95C2×#397C2211yescharacteristic
96C2×#397C2211yescharacteristic
97C2×#397C2211yescharacteristic
98C2×#397C2211yescharacteristic
99C2×#397C2211yescharacteristic
100C2×#397C2211yescharacteristic
101C2×#397C2211yescharacteristic, complemented
102C2×#397C2211yescharacteristic, complemented
103C2×#397C2211yescharacteristic, complemented
104C2×#396C2211yescharacteristic
105C2×#396C2211yescharacteristic
106C2×#396C2211yescharacteristic, complemented
107C2×#396C2211yescharacteristic, complemented
108C2×#395C2211yescharacteristic, complemented
109C2×#395C2211yescharacteristic, complemented
110C2×#395C2211yescharacteristic, complemented
111C2×#395C2211yescharacteristic, complemented
112C2×#394C2211yescharacteristic
113C2×#394C2211yescharacteristic
114C2×#394C2211yescharacteristic
115C2×#394C2211yescharacteristic
116C2×#394C2211yescharacteristic
117C2×#394C2211yescharacteristic
118C2×#394C2211yescharacteristic
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic, complemented
123C2×#394C2211yescharacteristic, complemented
124C2×#394C2211yescharacteristic, complemented
125C2×#393C2211yescharacteristic
126C2×#393C2211yescharacteristic
127C2×#393C2211yescharacteristic
128C2×#393C2211yescharacteristic, complemented
129C2×#392C2211yescharacteristic
130#2376C22116yescomplemented
131#2367C22116yescomplemented
132#2315C22116yescomplemented
133C2×#391C2211yescharacteristic, complemented
134C2×#391C2211yescharacteristic, complemented
135C2×#391C2211yescharacteristic, complemented
136C2×#391C2211yescharacteristic, complemented
137C2×#390C2211yescharacteristic
138C2×#390C2211yescharacteristic
139C2×#390C2211yescharacteristic
140C2×#390C2211yescharacteristic
141C2×#389C2211yescharacteristic, complemented
142C2×#389C2211yescharacteristic, complemented
143C2×#389C2211yescharacteristic, complemented
144C2×#389C2211yescharacteristic, complemented
145C2×#388C2211yescharacteristic
146C2×#388C2211yescharacteristic
147C2×#388C2211yescharacteristic
148C2×#388C2211yescharacteristic
149C2×#388C2211yescharacteristic
150C2×#388C2211yescharacteristic
151C2×#388C2211yescharacteristic
152C2×#388C2211yescharacteristic
153C2×#388C2211yescharacteristic
154C2×#388C2211yescharacteristic
155C2×#388C2211yescharacteristic
156C2×#388C2211yescharacteristic
157C2×#388C2211yescharacteristic, complemented
158C2×#388C2211yescharacteristic, complemented
159C2×#388C2211yescharacteristic, complemented
160C2×#388C2211yescharacteristic, complemented
161C2×#388C2211yescharacteristic, complemented
162C2×#388C2211yescharacteristic, complemented
163C2×#388C2211yescharacteristic, complemented
164C2×#388C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic, complemented
166C2×#387C2211yescharacteristic, complemented
167C2×#387C2211yescharacteristic, complemented
168C2×#387C2211yescharacteristic, complemented
169C2×#387C2211yescharacteristic, complemented
170C2×#387C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#387C2211yescharacteristic, complemented
173C2×#387C2211yescharacteristic, complemented
174C2×#387C2211yescharacteristic, complemented
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic, complemented
186C2×#385C2211yescharacteristic
187C2×#385C2211yescharacteristic
188C2×#385C2211yescharacteristic
189C2×#385C2211yescharacteristic
190C2×#385C2211yescharacteristic
191C2×#385C2211yescharacteristic
192C2×#385C2211yescharacteristic
193C2×#385C2211yescharacteristic
194C2×#385C2211yescharacteristic
195C2×#385C2211yescharacteristic
196C2×#385C2211yescharacteristic
197C2×#385C2211yescharacteristic
198C2×#385C2211yescharacteristic, complemented
199C2×#382C2211yescharacteristic, complemented
200C2×#382C2211yescharacteristic, complemented
201C2×#381C2211yescharacteristic, complemented
202C2×#380C2211yescharacteristic
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic
205C2×#380C2211yescharacteristic
206C2×#380C2211yescharacteristic
207C2×#380C2211yescharacteristic
208C2×#380C2211yescharacteristic, complemented
209C2×#380C2211yescharacteristic, complemented
210C2×#379C2211yescharacteristic
211C2×#379C2211yescharacteristic
212C2×C4×C4⋊C4C2211yescharacteristic, complemented
213C2×C4×C4⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic
215C2×C4×C22⋊C4C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C2×#126—44no—
239C2×#126C2318yes—
240C2×#125—44no—
241C2×#125C2318yescomplemented
242C2×#124—28no—
243C2×#124—44no—
244C2×#124—44no—
245C2×#124C2318yes—
246C2×#124C2318yes—
247C2×#124C2318yes—
248C2×#123—28no—
249C2×#123C2318yes—
250C2×C22⋊Q8—44no—
251C2×C22⋊Q8—44no—
252C2×C22⋊Q8—44no—
253C2×C22⋊Q8—44no—
254C2×C22⋊Q8—44no—
255C2×C22⋊Q8C2318yes—
256C2×C22⋊Q8C2318yes—
257C2×C22⋊Q8C2318yes—
258C2×C22⋊Q8C2318yescomplemented
259C2×C22⋊Q8C2318yescomplemented
260C2×#121—44no—
261C2×#121—44no—
262C2×#121C2318yes—
263C2×#121C2318yes—
264C2×#120—44no—
265C2×#120—44no—
266C2×#120C2318yes—
267C2×#120C2318yes—
268C2×C4×Q8—44no—
269C2×C4×Q8C2318yescomplemented
270C2×C4×D4—44no—
271C2×C4×D4—44no—
272C2×C4×D4C2318yes—
273C2×C4×D4C2318yes—
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⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C22⋊C4—28no—
307C22×C22⋊C4—44no—
308C22×C22⋊C4—44no—
309C22×C22⋊C4C2318yes—
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×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372#401C2318yescomplemented
373#401C2318yescomplemented
374#400C2318yescomplemented
375#400C2318yescomplemented
376#400C2318yescomplemented
377#399C2318yes—
378#399C2318yescomplemented
379#399C2318yescomplemented
380#398C2318yescomplemented
381#398C2318yescomplemented
382#398C2318yescomplemented
383#398C2318yescomplemented
384#397C2318yes—
385#397C2318yes—
386#397C2318yes—
387#397C2318yes—
388#397C2318yes—
389#397C2318yes—
390#397C2318yes—
391#397C2318yescomplemented
392#397C2318yescomplemented
393#397C2318yescomplemented
394#396C2318yes—
395#396C2318yes—
396#396C2318yescomplemented
397#396C2318yescomplemented
398#395C2318yescomplemented
399#395C2318yescomplemented
400#395C2318yescomplemented
401#395C2318yescomplemented
402#394C2318yes—
403#394C2318yes—
404#394C2318yes—
405#394C2318yes—
406#394C2318yes—
407#394C2318yes—
408#394C2318yes—
409#394C2318yes—
410#394C2318yes—
411#394C2318yes—
412#394C2318yescomplemented
413#394C2318yescomplemented
414#394C2318yescomplemented
415#393C2318yes—
416#393C2318yes—
417#393C2318yes—
418#393C2318yescomplemented
419#392C2318yes—
420#391C2318yescomplemented
421#391C2318yescomplemented
422#391C2318yescomplemented
423#391C2318yescomplemented
424#390C2318yes—
425#390C2318yes—
426#390C2318yes—
427#390C2318yes—
428#389C2318yescomplemented
429#389C2318yescomplemented
430#389C2318yescomplemented
431#389C2318yescomplemented
432#388C2318yes—
433#388C2318yes—
434#388C2318yes—
435#388C2318yes—
436#388C2318yes—
437#388C2318yes—
438#388C2318yes—
439#388C2318yes—
440#388C2318yes—
441#388C2318yes—
442#388C2318yes—
443#388C2318yes—
444#388C2318yescomplemented
445#388C2318yescomplemented
446#388C2318yescomplemented
447#388C2318yescomplemented
448#388C2318yescomplemented
449#388C2318yescomplemented
450#388C2318yescomplemented
451#388C2318yescomplemented
452#388C2318yescomplemented
453#387C2318yescomplemented
454#387C2318yescomplemented
455#387C2318yescomplemented
456#387C2318yescomplemented
457#387C2318yescomplemented
458#387C2318yescomplemented
459#387C2318yescomplemented
460#387C2318yescomplemented
461#387C2318yescomplemented
462#386C2318yes—
463#386C2318yes—
464#386C2318yes—
465#386C2318yes—
466#386C2318yes—
467#386C2318yes—
468#386C2318yes—
469#386C2318yes—
470#386C2318yes—
471#386C2318yes—
472#386C2318yescomplemented
473#385C2318yes—
474#385C2318yes—
475#385C2318yes—
476#385C2318yes—
477#385C2318yes—
478#385C2318yes—
479#385C2318yes—
480#385C2318yes—
481#385C2318yes—
482#385C2318yes—
483#385C2318yes—
484#385C2318yes—
485#385C2318yescomplemented
486#382C2318yescomplemented
487#382C2318yescomplemented
488#381C2318yescomplemented
489#380C2318yes—
490#380C2318yes—
491#380C2318yes—
492#380C2318yes—
493#380C2318yes—
494#380C2318yes—
495#380C2318yescomplemented
496#380C2318yescomplemented
497#379C2318yes—
498#379C2318yes—
499C4×C4⋊C4C2318yescomplemented
500C4×C4⋊C4C2318yescomplemented
501C4×C22⋊C4C2318yes—
502C4×C22⋊C4C2318yes—
503C4×C22⋊C4C2318yes—
504C4×C22⋊C4C2318yes—
505C4×C22⋊C4C2318yescomplemented
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
550C25—24no—
551C25—24no—
552C25—24no—
553C25—42no—
554C25—42no—
555C25—42no—
556C25—42no—
557C25C2411yescharacteristic
558C25C2411yescharacteristic
559C25C2411yescharacteristic
560C25C2411yescharacteristic
561C25C2411yescharacteristic
562C25C2414yes—
563C22×Q8—24no—
564C22×Q8—24no—
565C22×Q8—24no—
566C22×Q8—42no—
567C22×Q8—42no—
568C22×Q8—42no—
569C22×Q8—42no—
570C22×Q8—42no—
571C22×Q8—42no—
572C22×Q8C2414yes—
573C22×Q8C2414yes—
574C22×Q8C2414yes—
575C22×D4—24no—
576C22×D4—24no—
577C22×D4—24no—
578C22×D4—24no—
579C22×D4—24no—
580C22×D4—24no—
581C22×D4—24no—
582C22×D4—24no—
583C22×D4—42no—
584C22×D4—42no—
585C22×D4—42no—
586C22×D4—42no—
587C22×D4—42no—
588C22×D4—42no—
589C22×D4—42no—
590C22×D4—42no—
591C22×D4—42no—
592C22×D4—42no—
593C22×D4—42no—
594C22×D4—42no—
595C22×D4—42no—
596C22×D4C2414yes—
597C22×D4C2414yes—
598C22×D4C2414yes—
599C22×D4C2414yes—
600C22×D4C2414yes—
601C22×D4C2414yes—
602C22×D4C2414yes—
603C23×C4—24no—
604C23×C4—24no—
605C23×C4—24no—
606C23×C4—24no—
607C23×C4—42no—
608C23×C4—42no—
609C23×C4—42no—
610C23×C4—42no—
611C23×C4—42no—
612C23×C4—42no—
613C23×C4—42no—
614C23×C4—42no—
615C23×C4—42no—
616C23×C4—42no—
617C23×C4—42no—
618C23×C4—42no—
619C23×C4—42no—
620C23×C4—42no—
621C23×C4—42no—
622C23×C4—42no—
623C23×C4—42no—
624C23×C4—42no—
625C23×C4—42no—
626C23×C4—42no—
627C23×C4C2411yescharacteristic
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637C23×C4C2411yescharacteristic
638C23×C4C2411yescharacteristic
639C23×C4C2411yescharacteristic
640C23×C4C2411yescharacteristic
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×C4C2414yes—
654C23×C4C2414yes—
655C23×C4C2414yes—
656C23×C4C2414yes—
657C23×C4C2414yes—
658C23×C4C2414yes—
659C23×C4C2414yes—
660C23×C4C2414yes—
661#126—416no—
662#125—416no—
663#124—232no—
664#124—416no—
665#124—416no—
666#123—232no—
667C22⋊Q8—416no—
668C22⋊Q8—416no—
669C22⋊Q8—416no—
670C22⋊Q8—416no—
671C22⋊Q8—416no—
672#121—416no—
673#121—416no—
674#120—416no—
675#120—416no—
676C4×Q8—416no—
677C4×D4—416no—
678C4×D4—416no—
679C2×C4⋊C4—24no—
680C2×C4⋊C4—24no—
681C2×C4⋊C4—24no—
682C2×C4⋊C4—24no—
683C2×C4⋊C4—24no—
684C2×C4⋊C4—24no—
685C2×C4⋊C4—24no—
686C2×C4⋊C4—24no—
687C2×C4⋊C4—24no—
688C2×C4⋊C4—42no—
689C2×C4⋊C4—42no—
690C2×C4⋊C4—42no—
691C2×C4⋊C4—42no—
692C2×C4⋊C4—42no—
693C2×C4⋊C4—42no—
694C2×C4⋊C4—42no—
695C2×C4⋊C4—42no—
696C2×C4⋊C4—42no—
697C2×C4⋊C4—42no—
698C2×C4⋊C4—42no—
699C2×C4⋊C4—42no—
700C2×C4⋊C4—42no—
701C2×C4⋊C4—42no—
702C2×C4⋊C4—42no—
703C2×C4⋊C4—42no—
704C2×C4⋊C4—42no—
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⋊C4C2414yes—
712C2×C4⋊C4C2414yes—
713C2×C4⋊C4C2414yes—
714C2×C4⋊C4C2414yes—
715C2×C4⋊C4C2414yes—
716C2×C4⋊C4C2414yes—
717C2×C4⋊C4C2414yes—
718C2×C4⋊C4C2414yes—
719C2×C4⋊C4C2414yes—
720C2×C4⋊C4C2414yes—
721C2×C4⋊C4C2414yes—
722C2×C4⋊C4C2414yes—
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×C22⋊C4—24no—
744C2×C22⋊C4—24no—
745C2×C22⋊C4—24no—
746C2×C22⋊C4—24no—
747C2×C22⋊C4—24no—
748C2×C22⋊C4—24no—
749C2×C22⋊C4—24no—
750C2×C22⋊C4—24no—
751C2×C22⋊C4—24no—
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—232no—
765C2×C22⋊C4—416no—
766C2×C22⋊C4—416no—
767C2×C22⋊C4—42no—
768C2×C22⋊C4—42no—
769C2×C22⋊C4—42no—
770C2×C22⋊C4—42no—
771C2×C22⋊C4—42no—
772C2×C22⋊C4—42no—
773C2×C22⋊C4—42no—
774C2×C22⋊C4—42no—
775C2×C22⋊C4—42no—
776C2×C22⋊C4—42no—
777C2×C22⋊C4—42no—
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—42no—
791C2×C22⋊C4—42no—
792C2×C22⋊C4—42no—
793C2×C22⋊C4—42no—
794C2×C22⋊C4—42no—
795C2×C22⋊C4#4118yes—
796C2×C22⋊C4C2414yes—
797C2×C22⋊C4C2414yes—
798C2×C22⋊C4C2414yes—
799C2×C22⋊C4C2414yes—
800C2×C22⋊C4C2414yes—
801C2×C22⋊C4C2414yes—
802C2×C22⋊C4C2414yes—
803C2×C22⋊C4C2414yes—
804C2×C22⋊C4C2414yes—
805C2×C22⋊C4C2414yes—
806C2×C22⋊C4C2414yes—
807C2×C22⋊C4C2414yes—
808C2×C22⋊C4C2414yes—
809C2×C22⋊C4C2414yes—
810C2×C22⋊C4C2414yes—
811C2×C22⋊C4C2414yes—
812C2×C22⋊C4C2414yes—
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×C42—24no—
847C2×C42—24no—
848C2×C42—42no—
849C2×C42—42no—
850C2×C42—42no—
851C2×C42—42no—
852C2×C42—42no—
853C2×C42—42no—
854C2×C42—42no—
855C2×C42—42no—
856C2×C42C2414yes—
857C2×C42C2414yes—
858C2×C42C2414yes—
859C2×C42C2414yes—
860C2×C42C2414yes—
861C2×C42C2414yes—
862C2×C42C2414yes—
863C2×C42C2414yes—
864C2×C42C2414yes—
865C2×C42C2414yes—
866#95C2414yes—
867#95C2414yes—
868#95C2414yes—
869#95C2414yes—
870#95C2414yes—
871#95C2414yes—
872#95C2414yes—
873#95C2414yes—
874#95C2414yes—
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—
910C24—232no—
911C24—22no—
912C24—22no—
913C24—22no—
914C24—22no—
915C24—22no—
916C24—22no—
917C24—22no—
918C24—22no—
919C24—22no—
920C24—22no—
921C24—22no—
922C24—22no—
923C24—22no—
924C24—22no—
925C24—22no—
926C24—22no—
927C24—22no—
928C24—22no—
929C24—28no—
930C24—28no—
931C24—28no—
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—44no—
947C24—44no—
948C24—44no—
949C24—44no—
950C24—88no—
951C24—88no—
952C24—88no—
953C24—88no—
954C24—88no—
955C24—88no—
956C24C2×#4114yes—
957C24H(5,𝔽2)14yes—
958C242−1+414yes—
959C24C2512yes—
960C24C2512yes—
961C24C2512yes—
962C24C2512yes—
963C24C2512yes—
964C24C2511yescharacteristic
965C2×Q8—28no—
966C2×Q8—28no—
967C2×Q8—28no—
968C2×Q8—44no—
969C2×Q8—44no—
970C2×Q8—44no—
971C2×Q8—44no—
972C2×Q8—44no—
973C2×Q8—44no—
974C2×Q8—416no—
975C2×Q8—88no—
976C2×Q8—88no—
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—44no—
986C2×D4—44no—
987C2×D4—416no—
988C2×D4—416no—
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—44no—
998C2×D4—44no—
999C2×D4—44no—
1000C2×D4—88no—
1001C2×D4—88no—
1002C2×D4—88no—
1003C2×D4—88no—
1004C2×D4—88no—
1005C22×C4—22no—
1006C22×C4—22no—
1007C22×C4—22no—
1008C22×C4—22no—
1009C22×C4—22no—
1010C22×C4—22no—
1011C22×C4—22no—
1012C22×C4—22no—
1013C22×C4—22no—
1014C22×C4—22no—
1015C22×C4—22no—
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—22no—
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—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—28no—
1080C22×C4—28no—
1081C22×C4—28no—
1082C22×C4—28no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—44no—
1086C22×C4—44no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—44no—
1092C22×C4—44no—
1093C22×C4—44no—
1094C22×C4—44no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4—44no—
1102C22×C4—44no—
1103C22×C4—88no—
1104C22×C4—88no—
1105C22×C4—88no—
1106C22×C4—88no—
1107C22×C4—88no—
1108C22×C4—88no—
1109C22×C4—88no—
1110C22×C4—88no—
1111C22×C4C2×#4114yes—
1112C22×C4C2×#4114yes—
1113C22×C4H(5,𝔽2)14yes—
1114C22×C4H(5,𝔽2)14yes—
1115C22×C4C2512yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2512yes—
1120C22×C4C2512yes—
1121C22×C4C2512yes—
1122C22×C4C2512yes—
1123C22×C4C2512yes—
1124C22×C4C2512yes—
1125C22×C4C2512yes—
1126C22×C4C2512yes—
1127C22×C4C2512yes—
1128C22×C4C2512yes—
1129C22×C4C2512yes—
1130C22×C4C2512yes—
1131C22×C4C2512yes—
1132C22×C4C2512yes—
1133C22×C4C2512yes—
1134C22×C4C2512yes—
1135C22×C4C2512yes—
1136C22×C4C2512yes—
1137C22×C4C2512yes—
1138C22×C4C2512yes—
1139C22×C4C2512yes—
1140C22×C4C2512yes—
1141C4⋊C4—28no—
1142C4⋊C4—28no—
1143C4⋊C4—28no—
1144C4⋊C4—28no—
1145C4⋊C4—28no—
1146C4⋊C4—28no—
1147C4⋊C4—28no—
1148C4⋊C4—28no—
1149C4⋊C4—28no—
1150C4⋊C4—44no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C22⋊C4—28no—
1174C22⋊C4—28no—
1175C22⋊C4—28no—
1176C22⋊C4—28no—
1177C22⋊C4—28no—
1178C22⋊C4—28no—
1179C22⋊C4—28no—
1180C22⋊C4—28no—
1181C22⋊C4—28no—
1182C22⋊C4—28no—
1183C22⋊C4—28no—
1184C22⋊C4—28no—
1185C22⋊C4—28no—
1186C22⋊C4—28no—
1187C22⋊C4—28no—
1188C22⋊C4—28no—
1189C22⋊C4—28no—
1190C22⋊C4—28no—
1191C22⋊C4—28no—
1192C22⋊C4—28no—
1193C22⋊C4—28no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4—44no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4C2×#41116yes—
1223C42—28no—
1224C42—28no—
1225C42—44no—
1226C42—44no—
1227C42—44no—
1228C42—44no—
1229C42—44no—
1230C42—44no—
1231C42—44no—
1232C42—44no—
1233C23—232no—
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—22no—
1247C23—22no—
1248C23—22no—
1249C23—22no—
1250C23—22no—
1251C23—22no—
1252C23—28no—
1253C23—28no—
1254C23—28no—
1255C23—28no—
1256C23—28no—
1257C23—28no—
1258C23—28no—
1259C23—28no—
1260C23—28no—
1261C23—22no—
1262C23—22no—
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—44no—
1276C23—44no—
1277C23—44no—
1278C23—44no—
1279C23—44no—
1280C23—44no—
1281C23—44no—
1282C23—44no—
1283C23—44no—
1284C23—44no—
1285C23—44no—
1286C23—44no—
1287C23—44no—
1288C23—44no—
1289C23—44no—
1290C23—44no—
1291C23—44no—
1292C23—44no—
1293C23—44no—
1294C23—44no—
1295C23—44no—
1296C23—44no—
1297C23—44no—
1298C23—44no—
1299C23—44no—
1300C23—44no—
1301C23—88no—
1302C23—88no—
1303C23—88no—
1304C23—88no—
1305C23—88no—
1306C23—88no—
1307C23—864no—
1308C23C22×#4114yes—
1309C23C22×#4112yes—
1310C23C2×H(5,𝔽2)14yes—
1311C23C2×H(5,𝔽2)12yes—
1312C23C2×H(5,𝔽2)12yes—
1313C23C2×H(5,𝔽2)12yes—
1314C23C2×2−1+414yes—
1315C23C2×2−1+412yes—
1316C23#58512yes—
1317C23#58512yes—
1318C23C2611yescharacteristic
1319Q8—416no—
1320Q8—88no—
1321Q8—88no—
1322D4—416no—
1323D4—416no—
1324D4—88no—
1325D4—88no—
1326D4—88no—
1327D4—88no—
1328D4—88no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—28no—
1338C2×C4—28no—
1339C2×C4—28no—
1340C2×C4—28no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
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—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
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—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—44no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—44no—
1426C2×C4—44no—
1427C2×C4—44no—
1428C2×C4—44no—
1429C2×C4—88no—
1430C2×C4—88no—
1431C2×C4—88no—
1432C2×C4—88no—
1433C2×C4—88no—
1434C2×C4—88no—
1435C2×C4—88no—
1436C2×C4—88no—
1437C2×C4C22×#4114yes—
1438C2×C4C22×#4114yes—
1439C2×C4C2×H(5,𝔽2)14yes—
1440C2×C4C2×H(5,𝔽2)14yes—
1441C22—24no—
1442C22—24no—
1443C22—24no—
1444C22—24no—
1445C22—24no—
1446C22—24no—
1447C22—24no—
1448C22—24no—
1449C22—24no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—416no—
1459C22—416no—
1460C22—416no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22—42no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—42no—
1472C22—42no—
1473C22—42no—
1474C22—42no—
1475C22—42no—
1476C22—42no—
1477C22—42no—
1478C22—42no—
1479C22—832no—
1480C22—88no—
1481C22—88no—
1482C22#349214yes—
1483C22#351914yes—
1484C22#352114yes—
1485C22#353414yes—
1486C22#355814yes—
1487C22#356114yes—
1488C22#356114yes—
1489C22C23×#4111yescharacteristic
1490C22C22×H(5,𝔽2)11yescharacteristic
1491C22C22×H(5,𝔽2)11yescharacteristic
1492C22C22×H(5,𝔽2)11yescharacteristic
1493C22C22×2−1+411yescharacteristic
1494C22C2×#58511yescharacteristic
1495C22C2×#58511yescharacteristic
1496C4—24no—
1497C4—24no—
1498C4—24no—
1499C4—24no—
1500C4—42no—
1501C4—42no—
1502C4—42no—
1503C4—42no—
1504C4—42no—
1505C4—42no—
1506C4—42no—
1507C4—42no—
1508C4—42no—
1509C4—42no—
1510C4—42no—
1511C4—42no—
1512C4—42no—
1513C4—42no—
1514C4—42no—
1515C4—42no—
1516C4—42no—
1517C4—42no—
1518C4—42no—
1519C4—42no—
1520C4—42no—
1521C4—42no—
1522C2—44no—
1523C2—44no—
1524C2—44no—
1525C2—82no—
1526C2—82no—
1527C2#4814218yesdirect product factor
1528C2C2×#353411yescharacteristic
1529C2C2×#355811yescharacteristic
1530C2C2×#356111yescharacteristic
1531C2C2×#356111yescharacteristic
1532C2C2×#349211yescharacteristic
1533C2C2×#351911yescharacteristic
1534C2C2×#352111yescharacteristic
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×#2778C2semidirect
3. C2×#2763C2semidirect
4. C2×#2753C2semidirect
5. C2×#2741C2semidirect
6. C2×#2732C2semidirect
7. C2×#2715C2semidirect
8. C2×#2711C2semidirect
9. C2×#2692C2semidirect
10. C2×#2690C2semidirect
11. C2×#2686C2semidirect
12. C2×#2672C2semidirect
13. #48142C2direct (N × H)
14. C2×#2536C2semidirect
15. C2×#2595C2semidirect
16. C2×#2576C2semidirect
17. C2×#2556C2semidirect
18. C2×#2494C2semidirect
19. C2×#2521C2semidirect
20. C2×#2427C2semidirect
21. C2×#2465C2semidirect
22. C2×#2480C2semidirect
23. C2×#2472C2semidirect
24. C2×#2472C2semidirect
25. C2×#2472C2semidirect
27. C2×#2418C2semidirect
28. C2×#2653C2semidirect
29. C2×#2638C2semidirect
30. C2×#2376C2semidirect
31. C2×#2367C2semidirect
32. C2×#2315C2semidirect
34. C22×#125C22semidirect
42. C22×C22⋊Q8C22semidirect
43. C22×C22⋊Q8C22semidirect
48. C22×C4×Q8C22semidirect
54. #2787C22semidirect
55. #2778C22semidirect
56. #2763C22semidirect
57. #2753C22semidirect
58. #2741C22semidirect
59. #2732C22semidirect
60. #2715C22semidirect
61. #2711C22semidirect
62. #2692C22semidirect
63. #2690C22semidirect
64. #2686C22semidirect
65. #2672C22semidirect
66. #2653C22semidirect
67. #2638C22semidirect
68. #2595C22semidirect
69. #2576C22semidirect
70. #2556C22semidirect
71. #2536C22semidirect
72. #2521C22semidirect
73. #2494C22semidirect
74. #2480C22semidirect
75. #2472C22semidirect
76. #2472C22semidirect
77. #2472C22semidirect
78. #2465C22semidirect
79. #2427C22semidirect
81. #2418C22semidirect
82. C2×#401C22semidirect
83. C2×#401C22semidirect
84. C2×#400C22semidirect
85. C2×#400C22semidirect
86. C2×#400C22semidirect
88. C2×#399C22semidirect
89. C2×#399C22semidirect
90. C2×#398C22semidirect
91. C2×#398C22semidirect
92. C2×#398C22semidirect
93. C2×#398C22semidirect
101. C2×#397C22semidirect
102. C2×#397C22semidirect
103. C2×#397C22semidirect
106. C2×#396C22semidirect
107. C2×#396C22semidirect
108. C2×#395C22semidirect
109. C2×#395C22semidirect
110. C2×#395C22semidirect
111. C2×#395C22semidirect
122. C2×#394C22semidirect
123. C2×#394C22semidirect
124. C2×#394C22semidirect
128. C2×#393C22semidirect
130. #2376C22semidirect
131. #2367C22semidirect
132. #2315C22semidirect
133. C2×#391C22semidirect
134. C2×#391C22semidirect
135. C2×#391C22semidirect
136. C2×#391C22semidirect
141. C2×#389C22semidirect
142. C2×#389C22semidirect
143. C2×#389C22semidirect
144. C2×#389C22semidirect
157. C2×#388C22semidirect
158. C2×#388C22semidirect
159. C2×#388C22semidirect
160. C2×#388C22semidirect
161. C2×#388C22semidirect
162. C2×#388C22semidirect
163. C2×#388C22semidirect
164. C2×#388C22semidirect
165. C2×#388C22semidirect
166. C2×#387C22semidirect
167. C2×#387C22semidirect
168. C2×#387C22semidirect
169. C2×#387C22semidirect
170. C2×#387C22semidirect
171. C2×#387C22semidirect
172. C2×#387C22semidirect
173. C2×#387C22semidirect
174. C2×#387C22semidirect
185. C2×#386C22semidirect
198. C2×#385C22semidirect
199. C2×#382C22semidirect
200. C2×#382C22semidirect
201. C2×#381C22semidirect
208. C2×#380C22semidirect
209. C2×#380C22semidirect
212. C2×C4×C4⋊C4C22semidirect
213. C2×C4×C4⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
241. C2×#125C23semidirect
258. C2×C22⋊Q8C23semidirect
259. C2×C22⋊Q8C23semidirect
269. C2×C4×Q8C23semidirect
372. #401C23semidirect
373. #401C23semidirect
374. #400C23semidirect
375. #400C23semidirect
376. #400C23semidirect
378. #399C23semidirect
379. #399C23semidirect
380. #398C23semidirect
381. #398C23semidirect
382. #398C23semidirect
383. #398C23semidirect
391. #397C23semidirect
392. #397C23semidirect
393. #397C23semidirect
396. #396C23semidirect
397. #396C23semidirect
398. #395C23semidirect
399. #395C23semidirect
400. #395C23semidirect
401. #395C23semidirect
412. #394C23semidirect
413. #394C23semidirect
414. #394C23semidirect
418. #393C23semidirect
420. #391C23semidirect
421. #391C23semidirect
422. #391C23semidirect
423. #391C23semidirect
428. #389C23semidirect
429. #389C23semidirect
430. #389C23semidirect
431. #389C23semidirect
444. #388C23semidirect
445. #388C23semidirect
446. #388C23semidirect
447. #388C23semidirect
448. #388C23semidirect
449. #388C23semidirect
450. #388C23semidirect
451. #388C23semidirect
452. #388C23semidirect
453. #387C23semidirect
454. #387C23semidirect
455. #387C23semidirect
456. #387C23semidirect
457. #387C23semidirect
458. #387C23semidirect
459. #387C23semidirect
460. #387C23semidirect
461. #387C23semidirect
472. #386C23semidirect
485. #385C23semidirect
486. #382C23semidirect
487. #382C23semidirect
488. #381C23semidirect
495. #380C23semidirect
496. #380C23semidirect
499. C4×C4⋊C4C23semidirect
500. C4×C4⋊C4C23semidirect
505. C4×C22⋊C4C23semidirect
1527. C2#48142direct (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×#27782
C2×#27632
C2×#27532
C2×#27412
C2×#27322
C2×#27152
C2×#27112
C2×#26922
C2×#26902
C2×#26862
C2×#26722
#481422
C2×#25362
C2×#25952
C2×#25762
C2×#25562
C2×#24942
C2×#25212
C2×#24272
C2×#24652
C2×#24802
C2×#24722
C2×#24242
C2×#24182
C2×#26532
C2×#26382
C2×#23762
C2×#23672
C2×#23152