Finite Group Databasebeta

← C2×#38511 #7635977

Subgroups — C2×#38511 #7635977

Order 512.

6992 conjugacy classes of subgroups.

The subgroup lattice has 1508 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2796C211yesmaximal, characteristic, complemented
2C2×#2790C211yesmaximal, characteristic, complemented
3C2×#2770C211yesmaximal, characteristic, complemented
4C2×#2763C211yesmaximal, characteristic, complemented
5C2×#2757C211yesmaximal, characteristic, complemented
6C2×#2729C211yesmaximal, characteristic, complemented
7C2×#2723C211yesmaximal, characteristic, complemented
8C2×#2715C211yesmaximal, characteristic, complemented
9#38511C2132yesmaximal, direct product factor
10C2×#2848C211yesmaximal, characteristic, complemented
11C2×#2561C211yesmaximal, characteristic, complemented
12C2×#2530C211yesmaximal, characteristic, complemented
13C2×#2488C211yesmaximal, characteristic, complemented
14C2×#2438C211yesmaximal, characteristic, complemented
15C2×#2411C211yesmaximal, characteristic
16C2×#2468C211yesmaximal, characteristic, complemented
17C2×#2465C211yesmaximal, characteristic, complemented
18C2×#2452C211yesmaximal, characteristic, complemented
19C2×#2440C211yesmaximal, characteristic, complemented
20C2×#2419C211yesmaximal, characteristic, complemented
21C2×#2481C211yesmaximal, characteristic, complemented
22C2×#2480C211yesmaximal, characteristic, complemented
23C2×#2472C211yesmaximal, characteristic
24C2×#2449C211yesmaximal, characteristic, complemented
25C2×#2652C211yesmaximal, characteristic, complemented
26C2×#2638C211yesmaximal, characteristic, complemented
27C2×#2360C211yesmaximal, characteristic, complemented
28C2×#2343C211yesmaximal, characteristic, complemented
29C2×#2334C211yesmaximal, characteristic, complemented
30C2×#2326C211yesmaximal, characteristic, complemented
31C2×C4×#120C211yesmaximal, characteristic
32C22×#385C211yesmaximal, characteristic, complemented
33C25×C4C2211yescharacteristic
34C22×C4⋊Q8C2211yescharacteristic, complemented
35C22×#126C2211yescharacteristic
36C22×#126C2211yescharacteristic, complemented
37C22×#124C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic, complemented
45C22×#120C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic, complemented
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×#117C2211yescharacteristic
51C23×C4⋊C4C2211yescharacteristic
52C23×C4⋊C4C2211yescharacteristic
53C23×C22⋊C4C2211yescharacteristic
54C23×C22⋊C4C2211yescharacteristic
55#2848C22116yescomplemented
56#2796C22116yescomplemented
57#2790C22116yescomplemented
58#2770C22116yescomplemented
59#2763C22116yescomplemented
60#2757C22116yescomplemented
61#2729C22116yescomplemented
62#2723C22116yescomplemented
63#2715C22116yescomplemented
64#2652C22116yescomplemented
65#2638C22116yescomplemented
66#2561C22116yescomplemented
67#2530C22116yescomplemented
68#2488C22116yescomplemented
69#2481C22116yescomplemented
70#2480C22116yescomplemented
71#2472C22116yes—
72#2468C22116yescomplemented
73#2465C22116yescomplemented
74#2452C22116yescomplemented
75#2449C22116yescomplemented
76#2440C22116yescomplemented
77#2438C22116yescomplemented
78#2419C22116yescomplemented
79#2411C22116yes—
80C2×#400C2211yescharacteristic, complemented
81C2×#400C2211yescharacteristic, complemented
82C2×#400C2211yescharacteristic, complemented
83C2×#400C2211yescharacteristic, complemented
84C2×#400C2211yescharacteristic, complemented
85C2×#400C2211yescharacteristic, complemented
86C2×#399C2211yescharacteristic, complemented
87C2×#398C2211yescharacteristic, complemented
88C2×#398C2211yescharacteristic, complemented
89C2×#398C2211yescharacteristic, complemented
90C2×#398C2211yescharacteristic, complemented
91C2×#398C2211yescharacteristic, complemented
92C2×#398C2211yescharacteristic, complemented
93C2×#397C2211yescharacteristic
94C2×#397C2211yescharacteristic
95C2×#397C2211yescharacteristic
96C2×#397C2211yescharacteristic
97C2×#397C2211yescharacteristic
98C2×#397C2211yescharacteristic
99C2×#397C2211yescharacteristic, complemented
100C2×#397C2211yescharacteristic, complemented
101C2×#397C2211yescharacteristic, complemented
102C2×#397C2211yescharacteristic, complemented
103C2×#396C2211yescharacteristic
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×#393C2211yescharacteristic
117C2×#393C2211yescharacteristic
118C2×#393C2211yescharacteristic
119C2×#393C2211yescharacteristic, complemented
120#2360C22116yescomplemented
121#2343C22116yescomplemented
122#2334C22116yescomplemented
123#2326C22116yescomplemented
124C4×#120C22116yes—
125C2×#391C2211yescharacteristic, complemented
126C2×#391C2211yescharacteristic, complemented
127C2×#391C2211yescharacteristic, complemented
128C2×#390C2211yescharacteristic
129C2×#390C2211yescharacteristic
130C2×#390C2211yescharacteristic
131C2×#389C2211yescharacteristic, complemented
132C2×#389C2211yescharacteristic, complemented
133C2×#389C2211yescharacteristic, complemented
134C2×#389C2211yescharacteristic, complemented
135C2×#389C2211yescharacteristic, complemented
136C2×#389C2211yescharacteristic, complemented
137C2×#389C2211yescharacteristic, complemented
138C2×#388C2211yescharacteristic
139C2×#388C2211yescharacteristic
140C2×#388C2211yescharacteristic
141C2×#388C2211yescharacteristic
142C2×#388C2211yescharacteristic
143C2×#388C2211yescharacteristic
144C2×#388C2211yescharacteristic
145C2×#388C2211yescharacteristic
146C2×#388C2211yescharacteristic
147C2×#388C2211yescharacteristic
148C2×#388C2211yescharacteristic
149C2×#388C2211yescharacteristic, complemented
150C2×#388C2211yescharacteristic, complemented
151C2×#388C2211yescharacteristic, complemented
152C2×#387C2211yescharacteristic, complemented
153C2×#387C2211yescharacteristic, complemented
154C2×#387C2211yescharacteristic, complemented
155C2×#387C2211yescharacteristic, complemented
156C2×#387C2211yescharacteristic, complemented
157C2×#387C2211yescharacteristic, complemented
158C2×#387C2211yescharacteristic, complemented
159C2×#387C2211yescharacteristic, complemented
160C2×#387C2211yescharacteristic, complemented
161C2×#387C2211yescharacteristic, complemented
162C2×#387C2211yescharacteristic, complemented
163C2×#387C2211yescharacteristic, complemented
164C2×#387C2211yescharacteristic, complemented
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#385C2211yescharacteristic
172C2×#385C2211yescharacteristic
173C2×#385C2211yescharacteristic
174C2×#385C2211yescharacteristic
175C2×#385C2211yescharacteristic
176C2×#385C2211yescharacteristic
177C2×#385C2211yescharacteristic
178C2×#385C2211yescharacteristic
179C2×#385C2211yescharacteristic
180C2×#385C2211yescharacteristic
181C2×#385C2211yescharacteristic
182C2×#385C2211yescharacteristic
183C2×#385C2211yescharacteristic
184C2×#385C2211yescharacteristic
185C2×#385C2211yescharacteristic
186C2×#385C2211yescharacteristic
187C2×#385C2211yescharacteristic
188C2×#385C2211yescharacteristic
189C2×#385C2211yescharacteristic
190C2×#385C2211yescharacteristic
191C2×#385C22116yescomplemented
192C2×#385C2211yescharacteristic, complemented
193C2×#385C2211yescharacteristic, complemented
194C2×#384C2211yescharacteristic, complemented
195C2×#383C2211yescharacteristic, complemented
196C2×#382C2211yescharacteristic, complemented
197C2×#382C2211yescharacteristic, complemented
198C2×#381C2211yescharacteristic
199C2×#381C2211yescharacteristic
200C2×#381C2211yescharacteristic, complemented
201C2×#380C2211yescharacteristic
202C2×#380C2211yescharacteristic
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic
205C2×#379C2211yescharacteristic
206C2×#379C2211yescharacteristic
207C2×#379C2211yescharacteristic
208C2×C4×C4⋊C4C2211yescharacteristic, complemented
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
215C2×C4×C22⋊C4C2211yescharacteristic
216C2×#376C2211yescharacteristic, complemented
217C22×#95C2211yescharacteristic
218C22×#95C2211yescharacteristic
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C24×C4—44no—
227C24×C4—44no—
228C24×C4—44no—
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2318yes—
240C24×C4C2311yescharacteristic
241C2×C4⋊Q8—44no—
242C2×C4⋊Q8C2318yescomplemented
243C2×#126—28no—
244C2×#126—44no—
245C2×#126C2318yes—
246C2×#126C2318yescomplemented
247C2×#124—28no—
248C2×#124C2318yes—
249C2×#123—44no—
250C2×#123C2318yes—
251C2×C22⋊Q8—28no—
252C2×C22⋊Q8—44no—
253C2×C22⋊Q8—44no—
254C2×C22⋊Q8—44no—
255C2×C22⋊Q8—44no—
256C2×C22⋊Q8—44no—
257C2×C22⋊Q8C2318yes—
258C2×C22⋊Q8C2318yes—
259C2×C22⋊Q8C2318yes—
260C2×C22⋊Q8C2318yes—
261C2×C22⋊Q8C2318yes—
262C2×C22⋊Q8C2318yescomplemented
263C2×#120—28no—
264C2×#120C2318yes—
265C2×C4×Q8—44no—
266C2×C4×Q8C2318yescomplemented
267C2×C4×D4—44no—
268C2×C4×D4—44no—
269C2×C4×D4—44no—
270C2×C4×D4C2318yes—
271C2×C4×D4C2318yes—
272C2×C4×D4C2318yes—
273C2×#117—28no—
274C2×#117C2318yes—
275C22×C4⋊C4—44no—
276C22×C4⋊C4—44no—
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⋊C4C2318yes—
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⋊C4C2311yescharacteristic
315C22×C4⋊C4C2318yes—
316C22×C4⋊C4C2311yescharacteristic
317C22×C22⋊C4—28no—
318C22×C22⋊C4—44no—
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2318yes—
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2318yes—
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×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372#400C2318yescomplemented
373#400C2318yescomplemented
374#400C2318yescomplemented
375#400C2318yescomplemented
376#400C2318yescomplemented
377#400C2318yescomplemented
378#399C2318yescomplemented
379#398C2318yescomplemented
380#398C2318yescomplemented
381#398C2318yescomplemented
382#398C2318yescomplemented
383#398C2318yescomplemented
384#398C2318yescomplemented
385#397C2318yes—
386#397C2318yes—
387#397C2318yes—
388#397C2318yes—
389#397C2318yes—
390#397C2318yes—
391#397C2318yescomplemented
392#397C2318yescomplemented
393#397C2318yescomplemented
394#397C2318yescomplemented
395#396C2318yes—
396#396C2318yes—
397#396C2318yes—
398#396C2318yescomplemented
399#396C2318yescomplemented
400#395C2318yescomplemented
401#395C2318yescomplemented
402#395C2318yescomplemented
403#395C2318yescomplemented
404#394C2318yes—
405#394C2318yes—
406#394C2318yes—
407#394C2318yes—
408#393C2318yes—
409#393C2318yes—
410#393C2318yes—
411#393C2318yescomplemented
412#391C2318yescomplemented
413#391C2318yescomplemented
414#391C2318yescomplemented
415#390C2318yes—
416#390C2318yes—
417#390C2318yes—
418#389C2318yescomplemented
419#389C2318yescomplemented
420#389C2318yescomplemented
421#389C2318yescomplemented
422#389C2318yescomplemented
423#389C2318yescomplemented
424#389C2318yescomplemented
425#388C2318yes—
426#388C2318yes—
427#388C2318yes—
428#388C2318yes—
429#388C2318yes—
430#388C2318yes—
431#388C2318yes—
432#388C2318yes—
433#388C2318yes—
434#388C2318yes—
435#388C2318yes—
436#388C2318yescomplemented
437#388C2318yescomplemented
438#388C2318yescomplemented
439#387C2318yescomplemented
440#387C2318yescomplemented
441#387C2318yescomplemented
442#387C2318yescomplemented
443#387C2318yescomplemented
444#387C2318yescomplemented
445#387C2318yescomplemented
446#387C2318yescomplemented
447#387C2318yescomplemented
448#387C2318yescomplemented
449#387C2318yescomplemented
450#387C2318yescomplemented
451#387C2318yescomplemented
452#386C2318yes—
453#386C2318yes—
454#386C2318yes—
455#386C2318yes—
456#386C2318yes—
457#386C2318yes—
458#385C2318yes—
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#385C2318yes—
472#385C2318yes—
473#385C2318yes—
474#385C2318yes—
475#385C2318yes—
476#385C2318yes—
477#385C2318yes—
478#385C2318yescomplemented
479#385C2318yescomplemented
480#384C2318yescomplemented
481#383C2318yescomplemented
482#382C2318yescomplemented
483#382C2318yescomplemented
484#381C2318yes—
485#381C2318yes—
486#381C2318yescomplemented
487#380C2318yes—
488#380C2318yes—
489#380C2318yes—
490#380C2318yes—
491#379C2318yes—
492#379C2318yes—
493#379C2318yes—
494C4×C4⋊C4C2318yescomplemented
495C4×C4⋊C4C2318yescomplemented
496C4×C22⋊C4C2318yes—
497C4×C22⋊C4C2318yes—
498C4×C22⋊C4C2318yes—
499C4×C22⋊C4C2318yes—
500C4×C22⋊C4C2318yes—
501C4×C22⋊C4C2318yes—
502#376C2318yescomplemented
503C2×#95C2318yes—
504C2×#95C2311yescharacteristic
505C2×#95C2311yescharacteristic
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×#95C2318yes—
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C25—24no—
554C25—24no—
555C25—24no—
556C25—24no—
557C25—24no—
558C25—42no—
559C25—42no—
560C25C2411yescharacteristic
561C25C2411yescharacteristic
562C25C2411yescharacteristic
563C25C2414yes—
564C25C2411yescharacteristic
565C22×Q8—24no—
566C22×Q8—24no—
567C22×Q8—24no—
568C22×Q8—42no—
569C22×Q8—42no—
570C22×Q8—42no—
571C22×Q8—42no—
572C22×Q8—42no—
573C22×Q8—42no—
574C22×Q8C2414yes—
575C22×Q8C2414yes—
576C22×Q8C2414yes—
577C22×D4—24no—
578C22×D4—24no—
579C22×D4—24no—
580C22×D4—24no—
581C22×D4—24no—
582C22×D4—24no—
583C22×D4—24no—
584C22×D4—42no—
585C22×D4—42no—
586C22×D4C2414yes—
587C22×D4C2414yes—
588C22×D4C2414yes—
589C23×C4—24no—
590C23×C4—24no—
591C23×C4—24no—
592C23×C4—24no—
593C23×C4—24no—
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—24no—
606C23×C4—416no—
607C23×C4—416no—
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—416no—
621C23×C4—42no—
622C23×C4—42no—
623C23×C4—42no—
624C23×C4—42no—
625C23×C4—464no—
626C23×C4C2414yes—
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×C4C2414yes—
649C23×C4C2414yes—
650C23×C4C2414yes—
651C23×C4C2414yes—
652C23×C4C2414yes—
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2414yes—
660C23×C4C2414yes—
661C23×C4C2414yes—
662C23×C4C2414yes—
663C23×C4C2414yes—
664C4⋊Q8—416no—
665#126—232no—
666#126—416no—
667#124—232no—
668#123—416no—
669C22⋊Q8—232no—
670C22⋊Q8—416no—
671C22⋊Q8—416no—
672C22⋊Q8—416no—
673C22⋊Q8—416no—
674C22⋊Q8—416no—
675#120—232no—
676C4×Q8—416no—
677C4×D4—416no—
678C4×D4—416no—
679C4×D4—416no—
680#117—232no—
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—24no—
689C2×C4⋊C4—24no—
690C2×C4⋊C4—24no—
691C2×C4⋊C4—24no—
692C2×C4⋊C4—24no—
693C2×C4⋊C4—24no—
694C2×C4⋊C4—24no—
695C2×C4⋊C4—24no—
696C2×C4⋊C4—24no—
697C2×C4⋊C4—416no—
698C2×C4⋊C4—416no—
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⋊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⋊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×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×C22⋊C4—24no—
760C2×C22⋊C4—24no—
761C2×C22⋊C4—24no—
762C2×C22⋊C4—24no—
763C2×C22⋊C4—24no—
764C2×C22⋊C4—24no—
765C2×C22⋊C4—24no—
766C2×C22⋊C4—24no—
767C2×C22⋊C4—24no—
768C2×C22⋊C4—24no—
769C2×C22⋊C4—24no—
770C2×C22⋊C4—24no—
771C2×C22⋊C4—24no—
772C2×C22⋊C4—24no—
773C2×C22⋊C4—24no—
774C2×C22⋊C4—24no—
775C2×C22⋊C4—24no—
776C2×C22⋊C4—24no—
777C2×C22⋊C4—24no—
778C2×C22⋊C4—24no—
779C2×C22⋊C4—232no—
780C2×C22⋊C4—42no—
781C2×C22⋊C4—42no—
782C2×C22⋊C4—42no—
783C2×C22⋊C4—42no—
784C2×C22⋊C4—416no—
785C2×C22⋊C4—42no—
786C2×C22⋊C4—42no—
787C2×C22⋊C4—42no—
788C2×C22⋊C4—42no—
789C2×C22⋊C4—42no—
790C2×C22⋊C4—42no—
791C2×C22⋊C4—42no—
792C2×C22⋊C4—42no—
793C2×C22⋊C4—42no—
794C2×C22⋊C4—42no—
795C2×C22⋊C4—42no—
796C2×C22⋊C4—42no—
797C2×C22⋊C4—42no—
798C2×C22⋊C4—42no—
799C2×C22⋊C4#4118yes—
800C2×C22⋊C4#4118yes—
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×C42—24no—
842C2×C42—24no—
843C2×C42—24no—
844C2×C42—24no—
845C2×C42—24no—
846C2×C42—42no—
847C2×C42—42no—
848C2×C42—42no—
849C2×C42—42no—
850C2×C42—42no—
851C2×C42—42no—
852C2×C42C2414yes—
853C2×C42C2414yes—
854C2×C42C2414yes—
855C2×C42C2414yes—
856C2×C42C2414yes—
857C2×C42C2414yes—
858C2×C42C2414yes—
859C2×C42C2414yes—
860C2×C42C2414yes—
861C2×C42C2414yes—
862C2×C42C2414yes—
863#95C2414yes—
864#95C2414yes—
865#95C2414yes—
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—
910#95C2414yes—
911C24—22no—
912C24—22no—
913C24—22no—
914C24—22no—
915C24—232no—
916C24—28no—
917C24—22no—
918C24—22no—
919C24—22no—
920C24—22no—
921C24—22no—
922C24—28no—
923C24—22no—
924C24—22no—
925C24—22no—
926C24—22no—
927C24—28no—
928C24—22no—
929C24—22no—
930C24—22no—
931C24—22no—
932C24—28no—
933C24—22no—
934C24—22no—
935C24—22no—
936C24—22no—
937C24—22no—
938C24—22no—
939C24—28no—
940C24—44no—
941C24—44no—
942C24—416no—
943C24—416no—
944C24—416no—
945C24—416no—
946C24—416no—
947C24—416no—
948C24C2×#4114yes—
949C24C2×#4114yes—
950C24H(5,𝔽2)14yes—
951C242−1+414yes—
952C242−1+414yes—
953C24C2512yes—
954C24C2512yes—
955C24C2512yes—
956C24C2512yes—
957C24C2511yescharacteristic
958C2×Q8—28no—
959C2×Q8—28no—
960C2×Q8—28no—
961C2×Q8—44no—
962C2×Q8—44no—
963C2×Q8—44no—
964C2×Q8—44no—
965C2×Q8—44no—
966C2×Q8—44no—
967C2×Q8—416no—
968C2×Q8—88no—
969C2×Q8—88no—
970C2×D4—28no—
971C2×D4—28no—
972C2×D4—28no—
973C2×D4—28no—
974C2×D4—28no—
975C2×D4—28no—
976C2×D4—28no—
977C2×D4—44no—
978C2×D4—44no—
979C2×D4—416no—
980C2×D4—416no—
981C2×D4—416no—
982C22×C4—22no—
983C22×C4—22no—
984C22×C4—22no—
985C22×C4—22no—
986C22×C4—22no—
987C22×C4—22no—
988C22×C4—22no—
989C22×C4—22no—
990C22×C4—22no—
991C22×C4—22no—
992C22×C4—22no—
993C22×C4—22no—
994C22×C4—22no—
995C22×C4—22no—
996C22×C4—22no—
997C22×C4—22no—
998C22×C4—22no—
999C22×C4—22no—
1000C22×C4—22no—
1001C22×C4—22no—
1002C22×C4—22no—
1003C22×C4—22no—
1004C22×C4—22no—
1005C22×C4—22no—
1006C22×C4—22no—
1007C22×C4—22no—
1008C22×C4—22no—
1009C22×C4—22no—
1010C22×C4—28no—
1011C22×C4—28no—
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—28no—
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—28no—
1049C22×C4—28no—
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—28no—
1059C22×C4—28no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—28no—
1065C22×C4—28no—
1066C22×C4—28no—
1067C22×C4—28no—
1068C22×C4—28no—
1069C22×C4—28no—
1070C22×C4—28no—
1071C22×C4—28no—
1072C22×C4—28no—
1073C22×C4—28no—
1074C22×C4—44no—
1075C22×C4—44no—
1076C22×C4—44no—
1077C22×C4—44no—
1078C22×C4—44no—
1079C22×C4—44no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—44no—
1086C22×C4—416no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—416no—
1092C22×C4—416no—
1093C22×C4—416no—
1094C22×C4—416no—
1095C22×C4—416no—
1096C22×C4—416no—
1097C22×C4—4128no—
1098C22×C4—416no—
1099C22×C4—416no—
1100C22×C4—88no—
1101C22×C4—88no—
1102C22×C4C2×#4114yes—
1103C22×C4C2×#4114yes—
1104C22×C4C2×#4114yes—
1105C22×C4C2×#4114yes—
1106C22×C4H(5,𝔽2)14yes—
1107C22×C4H(5,𝔽2)14yes—
1108C22×C4C2512yes—
1109C22×C4C2512yes—
1110C22×C4C2512yes—
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2512yes—
1114C22×C4C2512yes—
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—
1135C4⋊C4—28no—
1136C4⋊C4—28no—
1137C4⋊C4—28no—
1138C4⋊C4—28no—
1139C4⋊C4—28no—
1140C4⋊C4—28no—
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—28no—
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—44no—
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⋊C4C2×#41116yes—
1212C22⋊C4C2×#41116yes—
1213C42—28no—
1214C42—28no—
1215C42—28no—
1216C42—28no—
1217C42—28no—
1218C42—44no—
1219C42—44no—
1220C42—44no—
1221C42—44no—
1222C42—44no—
1223C42—44no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—28no—
1229C23—28no—
1230C23—28no—
1231C23—28no—
1232C23—28no—
1233C23—28no—
1234C23—232no—
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—28no—
1248C23—28no—
1249C23—28no—
1250C23—28no—
1251C23—28no—
1252C23—28no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—22no—
1258C23—22no—
1259C23—22no—
1260C23—416no—
1261C23—416no—
1262C23—416no—
1263C23—416no—
1264C23—416no—
1265C23—4128no—
1266C23—416no—
1267C23—44no—
1268C23—44no—
1269C23—44no—
1270C23—44no—
1271C23—44no—
1272C23—44no—
1273C23—44no—
1274C23—44no—
1275C23—44no—
1276C23—44no—
1277C23—44no—
1278C23—44no—
1279C23—44no—
1280C23—44no—
1281C23—44no—
1282C23#542116yes—
1283C23C22×#4114yes—
1284C23C22×#4114yes—
1285C23C22×#4112yes—
1286C23C22×#4112yes—
1287C23C2×H(5,𝔽2)14yes—
1288C23C2×H(5,𝔽2)12yes—
1289C23C2×H(5,𝔽2)12yes—
1290C23C2×H(5,𝔽2)12yes—
1291C23C2×2−1+414yes—
1292C23C2×2−1+414yes—
1293C23C2×2−1+412yes—
1294C23C2×2−1+412yes—
1295C23C2611yescharacteristic
1296Q8—416no—
1297Q8—88no—
1298Q8—88no—
1299D4—416no—
1300D4—416no—
1301D4—416no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—28no—
1315C2×C4—28no—
1316C2×C4—28no—
1317C2×C4—28no—
1318C2×C4—28no—
1319C2×C4—28no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
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—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
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—416no—
1384C2×C4—416no—
1385C2×C4—416no—
1386C2×C4—416no—
1387C2×C4—416no—
1388C2×C4—416no—
1389C2×C4—416no—
1390C2×C4—416no—
1391C2×C4—416no—
1392C2×C4—44no—
1393C2×C4—44no—
1394C2×C4—44no—
1395C2×C4—44no—
1396C2×C4—44no—
1397C2×C4—44no—
1398C2×C4—44no—
1399C2×C4—44no—
1400C2×C4—44no—
1401C2×C4—44no—
1402C2×C4—44no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—88no—
1414C2×C4—88no—
1415C2×C4C22×#4114yes—
1416C2×C4C22×#4114yes—
1417C2×C4C22×#4114yes—
1418C2×C4C22×#4114yes—
1419C2×C4C2×H(5,𝔽2)14yes—
1420C2×C4C2×H(5,𝔽2)14yes—
1421C22—24no—
1422C22—24no—
1423C22—24no—
1424C22—24no—
1425C22—232no—
1426C22—24no—
1427C22—24no—
1428C22—24no—
1429C22—24no—
1430C22—24no—
1431C22—24no—
1432C22—24no—
1433C22—24no—
1434C22—464no—
1435C22—42no—
1436C22—42no—
1437C22—42no—
1438C22—416no—
1439C22—416no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—88no—
1453C22C2×#54218yes—
1454C22C2×#54214yes—
1455C22#348114yes—
1456C22#349214yes—
1457C22#352014yes—
1458C22#352014yes—
1459C22#353214yes—
1460C22#353814yes—
1461C22C23×#4111yescharacteristic
1462C22C23×#4111yescharacteristic
1463C22C22×H(5,𝔽2)11yescharacteristic
1464C22C22×H(5,𝔽2)11yescharacteristic
1465C22C22×H(5,𝔽2)11yescharacteristic
1466C22C22×2−1+411yescharacteristic
1467C22C22×2−1+411yescharacteristic
1468C4—24no—
1469C4—24no—
1470C4—24no—
1471C4—24no—
1472C4—24no—
1473C4—24no—
1474C4—42no—
1475C4—42no—
1476C4—42no—
1477C4—42no—
1478C4—42no—
1479C4—42no—
1480C4—42no—
1481C4—42no—
1482C4—42no—
1483C4—42no—
1484C4—42no—
1485C4—42no—
1486C4—42no—
1487C4—42no—
1488C4—42no—
1489C4—42no—
1490C4—42no—
1491C4—42no—
1492C4—42no—
1493C4—42no—
1494C4—42no—
1495C2—28no—
1496C2—44no—
1497C2—44no—
1498C2—82no—
1499C2#3851118yesdirect product factor
1500C2C22×#54211yescharacteristic
1501C2C2×#348111yescharacteristic
1502C2C2×#353211yescharacteristic
1503C2C2×#353811yescharacteristic
1504C2C2×#349211yescharacteristic
1505C2C2×#352011yescharacteristic
1506C2C2×#352011yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC22×#120C22
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×#2796C2semidirect
2. C2×#2790C2semidirect
3. C2×#2770C2semidirect
4. C2×#2763C2semidirect
5. C2×#2757C2semidirect
6. C2×#2729C2semidirect
7. C2×#2723C2semidirect
8. C2×#2715C2semidirect
9. #38511C2direct (N × H)
10. C2×#2848C2semidirect
11. C2×#2561C2semidirect
12. C2×#2530C2semidirect
13. C2×#2488C2semidirect
14. C2×#2438C2semidirect
16. C2×#2468C2semidirect
17. C2×#2465C2semidirect
18. C2×#2452C2semidirect
19. C2×#2440C2semidirect
20. C2×#2419C2semidirect
21. C2×#2481C2semidirect
22. C2×#2480C2semidirect
24. C2×#2449C2semidirect
25. C2×#2652C2semidirect
26. C2×#2638C2semidirect
27. C2×#2360C2semidirect
28. C2×#2343C2semidirect
29. C2×#2334C2semidirect
30. C2×#2326C2semidirect
32. C22×#385C2semidirect
34. C22×C4⋊Q8C22semidirect
36. C22×#126C22semidirect
44. C22×C22⋊Q8C22semidirect
46. C22×C4×Q8C22semidirect
55. #2848C22semidirect
56. #2796C22semidirect
57. #2790C22semidirect
58. #2770C22semidirect
59. #2763C22semidirect
60. #2757C22semidirect
61. #2729C22semidirect
62. #2723C22semidirect
63. #2715C22semidirect
64. #2652C22semidirect
65. #2638C22semidirect
66. #2561C22semidirect
67. #2530C22semidirect
68. #2488C22semidirect
69. #2481C22semidirect
70. #2480C22semidirect
72. #2468C22semidirect
73. #2465C22semidirect
74. #2452C22semidirect
75. #2449C22semidirect
76. #2440C22semidirect
77. #2438C22semidirect
78. #2419C22semidirect
80. C2×#400C22semidirect
81. C2×#400C22semidirect
82. C2×#400C22semidirect
83. C2×#400C22semidirect
84. C2×#400C22semidirect
85. C2×#400C22semidirect
86. C2×#399C22semidirect
87. C2×#398C22semidirect
88. C2×#398C22semidirect
89. C2×#398C22semidirect
90. C2×#398C22semidirect
91. C2×#398C22semidirect
92. C2×#398C22semidirect
99. C2×#397C22semidirect
100. C2×#397C22semidirect
101. C2×#397C22semidirect
102. C2×#397C22semidirect
106. C2×#396C22semidirect
107. C2×#396C22semidirect
108. C2×#395C22semidirect
109. C2×#395C22semidirect
110. C2×#395C22semidirect
111. C2×#395C22semidirect
119. C2×#393C22semidirect
120. #2360C22semidirect
121. #2343C22semidirect
122. #2334C22semidirect
123. #2326C22semidirect
125. C2×#391C22semidirect
126. C2×#391C22semidirect
127. C2×#391C22semidirect
131. C2×#389C22semidirect
132. C2×#389C22semidirect
133. C2×#389C22semidirect
134. C2×#389C22semidirect
135. C2×#389C22semidirect
136. C2×#389C22semidirect
137. C2×#389C22semidirect
149. C2×#388C22semidirect
150. C2×#388C22semidirect
151. C2×#388C22semidirect
152. C2×#387C22semidirect
153. C2×#387C22semidirect
154. C2×#387C22semidirect
155. C2×#387C22semidirect
156. C2×#387C22semidirect
157. C2×#387C22semidirect
158. C2×#387C22semidirect
159. C2×#387C22semidirect
160. C2×#387C22semidirect
161. C2×#387C22semidirect
162. C2×#387C22semidirect
163. C2×#387C22semidirect
164. C2×#387C22semidirect
191. C2×#385C22semidirect
192. C2×#385C22semidirect
193. C2×#385C22semidirect
194. C2×#384C22semidirect
195. C2×#383C22semidirect
196. C2×#382C22semidirect
197. C2×#382C22semidirect
200. C2×#381C22semidirect
208. C2×C4×C4⋊C4C22semidirect
209. C2×C4×C4⋊C4C22semidirect
216. C2×#376C22semidirect
242. C2×C4⋊Q8C23semidirect
246. C2×#126C23semidirect
262. C2×C22⋊Q8C23semidirect
266. C2×C4×Q8C23semidirect
372. #400C23semidirect
373. #400C23semidirect
374. #400C23semidirect
375. #400C23semidirect
376. #400C23semidirect
377. #400C23semidirect
378. #399C23semidirect
379. #398C23semidirect
380. #398C23semidirect
381. #398C23semidirect
382. #398C23semidirect
383. #398C23semidirect
384. #398C23semidirect
391. #397C23semidirect
392. #397C23semidirect
393. #397C23semidirect
394. #397C23semidirect
398. #396C23semidirect
399. #396C23semidirect
400. #395C23semidirect
401. #395C23semidirect
402. #395C23semidirect
403. #395C23semidirect
411. #393C23semidirect
412. #391C23semidirect
413. #391C23semidirect
414. #391C23semidirect
418. #389C23semidirect
419. #389C23semidirect
420. #389C23semidirect
421. #389C23semidirect
422. #389C23semidirect
423. #389C23semidirect
424. #389C23semidirect
436. #388C23semidirect
437. #388C23semidirect
438. #388C23semidirect
439. #387C23semidirect
440. #387C23semidirect
441. #387C23semidirect
442. #387C23semidirect
443. #387C23semidirect
444. #387C23semidirect
445. #387C23semidirect
446. #387C23semidirect
447. #387C23semidirect
448. #387C23semidirect
449. #387C23semidirect
450. #387C23semidirect
451. #387C23semidirect
478. #385C23semidirect
479. #385C23semidirect
480. #384C23semidirect
481. #383C23semidirect
482. #382C23semidirect
483. #382C23semidirect
486. #381C23semidirect
494. C4×C4⋊C4C23semidirect
495. C4×C4⋊C4C23semidirect
502. #376C23semidirect
1499. C2#38511direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27962
C2×#27902
C2×#27702
C2×#27632
C2×#27572
C2×#27292
C2×#27232
C2×#27152
#385112
C2×#28482
C2×#25612
C2×#25302
C2×#24882
C2×#24382
C2×#24112
C2×#24682
C2×#24652
C2×#24522
C2×#24402
C2×#24192
C2×#24812
C2×#24802
C2×#24722
C2×#24492
C2×#26522
C2×#26382
C2×#23602
C2×#23432
C2×#23342
C2×#23262
C2×C4×#1202
C22×#3852