Finite Group Databasebeta

← C2×#38503 #7635789

Subgroups — C2×#38503 #7635789

Order 512.

7138 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2790C211yesmaximal, characteristic, complemented
2C2×#2764C211yesmaximal, characteristic, complemented
3C2×#2757C211yesmaximal, characteristic, complemented
4C2×#2751C211yesmaximal, characteristic, complemented
5C2×#2746C211yesmaximal, characteristic, complemented
6C2×#2718C211yesmaximal, characteristic, complemented
7C2×#2712C211yesmaximal, characteristic, complemented
8C2×#2701C211yesmaximal, characteristic, complemented
9#38503C2132yesmaximal, direct product factor
10C2×#2849C211yesmaximal, characteristic, complemented
11C2×#2591C211yesmaximal, characteristic, complemented
12C2×#2527C211yesmaximal, characteristic, complemented
13C2×#2502C211yesmaximal, characteristic, complemented
14C2×#2510C211yesmaximal, characteristic, complemented
15C2×#2458C211yesmaximal, characteristic, complemented
16C2×#2468C211yesmaximal, characteristic, complemented
17C2×#2422C211yesmaximal, characteristic, complemented
18C2×#2450C211yesmaximal, characteristic, complemented
19C2×#2450C211yesmaximal, characteristic, complemented
20C2×#2480C211yesmaximal, characteristic, complemented
21C2×#2472C211yesmaximal, characteristic, complemented
22C2×#2472C211yesmaximal, characteristic, complemented
23C2×#2424C211yesmaximal, characteristic
24C2×#2443C211yesmaximal, characteristic, complemented
25C2×#2652C211yesmaximal, characteristic, complemented
26C2×#2630C211yesmaximal, characteristic, complemented
27C2×#2360C211yesmaximal, characteristic, complemented
28C2×#2353C211yesmaximal, characteristic, complemented
29C2×#2337C211yesmaximal, characteristic, complemented
30C2×#2326C211yesmaximal, characteristic, complemented
31C2×C4×#120C211yesmaximal, characteristic, complemented
32C22×#385C211yesmaximal, characteristic, complemented
33C25×C4C2211yescharacteristic
34C22×#126C2211yescharacteristic
35C22×#124C2211yescharacteristic
36C22×#124C2211yescharacteristic
37C22×#123C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic, complemented
40C22×C22⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#120C2211yescharacteristic
45C22×#120C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic, complemented
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51C23×C4⋊C4C2211yescharacteristic
52C23×C4⋊C4C2211yescharacteristic
53C23×C22⋊C4C2211yescharacteristic
54C23×C22⋊C4C2211yescharacteristic
55#2849C22116yescomplemented
56#2790C22116yescomplemented
57#2764C22116yescomplemented
58#2757C22116yescomplemented
59#2751C22116yescomplemented
60#2746C22116yescomplemented
61#2718C22116yescomplemented
62#2712C22116yescomplemented
63#2701C22116yescomplemented
64#2652C22116yescomplemented
65#2630C22116yescomplemented
66#2591C22116yescomplemented
67#2527C22116yescomplemented
68#2510C22116yescomplemented
69#2502C22116yescomplemented
70#2480C22116yescomplemented
71#2472C22116yescomplemented
72#2472C22116yescomplemented
73#2468C22116yescomplemented
74#2458C22116yescomplemented
75#2450C22116yescomplemented
76#2450C22116yescomplemented
77#2443C22116yescomplemented
78#2424C22116yes—
79#2422C22116yescomplemented
80C2×#401C2211yescharacteristic, 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×#398C2211yescharacteristic, complemented
94C2×#397C2211yescharacteristic
95C2×#397C2211yescharacteristic
96C2×#397C2211yescharacteristic
97C2×#397C2211yescharacteristic
98C2×#397C2211yescharacteristic
99C2×#397C2211yescharacteristic, complemented
100C2×#397C2211yescharacteristic, complemented
101C2×#397C2211yescharacteristic, complemented
102C2×#396C2211yescharacteristic
103C2×#396C2211yescharacteristic
104C2×#396C2211yescharacteristic, complemented
105C2×#396C2211yescharacteristic, complemented
106C2×#394C2211yescharacteristic
107C2×#394C2211yescharacteristic
108C2×#394C2211yescharacteristic
109C2×#394C2211yescharacteristic
110C2×#394C2211yescharacteristic
111C2×#394C2211yescharacteristic
112C2×#394C2211yescharacteristic, complemented
113C2×#394C2211yescharacteristic, complemented
114C2×#394C2211yescharacteristic, complemented
115C2×#393C2211yescharacteristic
116C2×#393C2211yescharacteristic
117C2×#393C2211yescharacteristic, complemented
118C2×#393C2211yescharacteristic, complemented
119C2×#392C2211yescharacteristic
120#2360C22116yescomplemented
121#2353C22116yescomplemented
122#2337C22116yescomplemented
123#2326C22116yescomplemented
124C4×#120C22116yescomplemented
125C2×#391C2211yescharacteristic, complemented
126C2×#391C2211yescharacteristic, complemented
127C2×#391C2211yescharacteristic, complemented
128C2×#391C2211yescharacteristic, complemented
129C2×#391C2211yescharacteristic, complemented
130C2×#390C2211yescharacteristic
131C2×#390C2211yescharacteristic
132C2×#390C2211yescharacteristic
133C2×#389C2211yescharacteristic, complemented
134C2×#389C2211yescharacteristic, complemented
135C2×#389C2211yescharacteristic, complemented
136C2×#388C2211yescharacteristic
137C2×#388C2211yescharacteristic
138C2×#388C2211yescharacteristic
139C2×#388C2211yescharacteristic
140C2×#388C2211yescharacteristic
141C2×#388C2211yescharacteristic
142C2×#388C2211yescharacteristic
143C2×#388C2211yescharacteristic
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×#387C2211yescharacteristic, complemented
154C2×#387C2211yescharacteristic, complemented
155C2×#387C2211yescharacteristic, complemented
156C2×#387C2211yescharacteristic, complemented
157C2×#387C2211yescharacteristic, complemented
158C2×#387C2211yescharacteristic, complemented
159C2×#387C2211yescharacteristic, complemented
160C2×#387C2211yescharacteristic, complemented
161C2×#386C2211yescharacteristic
162C2×#386C2211yescharacteristic
163C2×#386C2211yescharacteristic
164C2×#386C2211yescharacteristic
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
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×#385C2211yescharacteristic
192C2×#385C22116yescomplemented
193C2×#385C2211yescharacteristic, complemented
194C2×#385C2211yescharacteristic, complemented
195C2×#385C2211yescharacteristic, complemented
196C2×#384C2211yescharacteristic, complemented
197C2×#384C2211yescharacteristic, complemented
198C2×#383C2211yescharacteristic, complemented
199C2×#383C2211yescharacteristic, complemented
200C2×#381C2211yescharacteristic
201C2×#381C2211yescharacteristic
202C2×#381C2211yescharacteristic, complemented
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic, complemented
205C2×#380C2211yescharacteristic, complemented
206C2×#379C2211yescharacteristic
207C2×#379C2211yescharacteristic
208C2×C4×C4⋊C4C2211yescharacteristic, complemented
209C2×C4×C22⋊C4C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic
214C2×C4×C22⋊C4C2211yescharacteristic
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×#376C2211yescharacteristic, complemented
217C22×#95C2211yescharacteristic
218C22×#95C2211yescharacteristic
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C24×C4—44no—
230C24×C4—44no—
231C24×C4—44no—
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2318yes—
244C24×C4C2311yescharacteristic
245C2×#126—44no—
246C2×#126C2318yes—
247C2×#124—28no—
248C2×#124—28no—
249C2×#124C2318yes—
250C2×#124C2318yes—
251C2×#123—44no—
252C2×#123—44no—
253C2×#123—44no—
254C2×#123C2318yes—
255C2×#123C2318yes—
256C2×#123C2318yescomplemented
257C2×C22⋊Q8—28no—
258C2×C22⋊Q8—44no—
259C2×C22⋊Q8C2318yes—
260C2×C22⋊Q8C2318yes—
261C2×#121—44no—
262C2×#121—44no—
263C2×#121C2318yes—
264C2×#121C2318yes—
265C2×#120—28no—
266C2×#120—44no—
267C2×#120C2318yes—
268C2×#120C2318yes—
269C2×C4×Q8—44no—
270C2×C4×Q8C2318yescomplemented
271C2×C4×D4—28no—
272C2×C4×D4—44no—
273C2×C4×D4—44no—
274C2×C4×D4—44no—
275C2×C4×D4C2318yes—
276C2×C4×D4C2318yes—
277C2×C4×D4C2318yes—
278C2×C4×D4C2318yes—
279C22×C4⋊C4—44no—
280C22×C4⋊C4—44no—
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2318yes—
289C22×C4⋊C4C2318yes—
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C22⋊C4—28no—
315C22×C22⋊C4—44no—
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊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⋊C4C2318yes—
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374#401C2318yescomplemented
375#400C2318yescomplemented
376#400C2318yescomplemented
377#400C2318yescomplemented
378#400C2318yescomplemented
379#400C2318yescomplemented
380#399C2318yescomplemented
381#398C2318yescomplemented
382#398C2318yescomplemented
383#398C2318yescomplemented
384#398C2318yescomplemented
385#398C2318yescomplemented
386#398C2318yescomplemented
387#398C2318yescomplemented
388#397C2318yes—
389#397C2318yes—
390#397C2318yes—
391#397C2318yes—
392#397C2318yes—
393#397C2318yescomplemented
394#397C2318yescomplemented
395#397C2318yescomplemented
396#396C2318yes—
397#396C2318yes—
398#396C2318yescomplemented
399#396C2318yescomplemented
400#394C2318yes—
401#394C2318yes—
402#394C2318yes—
403#394C2318yes—
404#394C2318yes—
405#394C2318yes—
406#394C2318yescomplemented
407#394C2318yescomplemented
408#394C2318yescomplemented
409#393C2318yes—
410#393C2318yes—
411#393C2318yescomplemented
412#393C2318yescomplemented
413#392C2318yes—
414#391C2318yescomplemented
415#391C2318yescomplemented
416#391C2318yescomplemented
417#391C2318yescomplemented
418#391C2318yescomplemented
419#390C2318yes—
420#390C2318yes—
421#390C2318yes—
422#389C2318yescomplemented
423#389C2318yescomplemented
424#389C2318yescomplemented
425#388C2318yes—
426#388C2318yes—
427#388C2318yes—
428#388C2318yes—
429#388C2318yes—
430#388C2318yes—
431#388C2318yes—
432#388C2318yes—
433#388C2318yescomplemented
434#388C2318yescomplemented
435#388C2318yescomplemented
436#388C2318yescomplemented
437#388C2318yescomplemented
438#388C2318yescomplemented
439#388C2318yescomplemented
440#388C2318yescomplemented
441#388C2318yescomplemented
442#387C2318yescomplemented
443#387C2318yescomplemented
444#387C2318yescomplemented
445#387C2318yescomplemented
446#387C2318yescomplemented
447#387C2318yescomplemented
448#387C2318yescomplemented
449#387C2318yescomplemented
450#386C2318yes—
451#386C2318yes—
452#386C2318yes—
453#386C2318yes—
454#386C2318yes—
455#386C2318yes—
456#386C2318yes—
457#386C2318yes—
458#386C2318yes—
459#386C2318yes—
460#386C2318yes—
461#386C2318yes—
462#386C2318yes—
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#385C2318yes—
479#385C2318yes—
480#385C2318yes—
481#385C2318yescomplemented
482#385C2318yescomplemented
483#385C2318yescomplemented
484#384C2318yescomplemented
485#384C2318yescomplemented
486#383C2318yescomplemented
487#383C2318yescomplemented
488#381C2318yes—
489#381C2318yes—
490#381C2318yescomplemented
491#380C2318yes—
492#380C2318yescomplemented
493#380C2318yescomplemented
494#379C2318yes—
495#379C2318yes—
496C4×C4⋊C4C2318yescomplemented
497C4×C22⋊C4C2318yes—
498C4×C22⋊C4C2318yes—
499C4×C22⋊C4C2318yes—
500C4×C22⋊C4C2318yes—
501C4×C22⋊C4C2318yes—
502C4×C22⋊C4C2318yes—
503C4×C22⋊C4C2318yescomplemented
504#376C2318yescomplemented
505C2×#95C2318yes—
506C2×#95C2311yescharacteristic
507C2×#95C2311yescharacteristic
508C2×#95C2311yescharacteristic
509C2×#95C2311yescharacteristic
510C2×#95C2311yescharacteristic
511C2×#95C2311yescharacteristic
512C2×#95C2311yescharacteristic
513C2×#95C2311yescharacteristic
514C2×#95C2311yescharacteristic
515C2×#95C2311yescharacteristic
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#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
563C25C2411yescharacteristic
564C25C2414yes—
565C25C2411yescharacteristic
566C22×Q8—24no—
567C22×Q8—24no—
568C22×Q8—24no—
569C22×Q8—42no—
570C22×Q8—42no—
571C22×Q8—42no—
572C22×Q8C2414yes—
573C22×Q8C2414yes—
574C22×D4—24no—
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—24no—
584C22×D4—24no—
585C22×D4—24no—
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×D4C2414yes—
596C22×D4C2414yes—
597C22×D4C2414yes—
598C22×D4C2414yes—
599C22×D4C2414yes—
600C22×D4C2414yes—
601C22×D4C2414yes—
602C23×C4—24no—
603C23×C4—24no—
604C23×C4—24no—
605C23×C4—24no—
606C23×C4—24no—
607C23×C4—24no—
608C23×C4—24no—
609C23×C4—24no—
610C23×C4—24no—
611C23×C4—24no—
612C23×C4—24no—
613C23×C4—24no—
614C23×C4—24no—
615C23×C4—24no—
616C23×C4—24no—
617C23×C4—416no—
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×C4—42no—
628C23×C4—42no—
629C23×C4—42no—
630C23×C4—416no—
631C23×C4—416no—
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—464no—
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2414yes—
664C23×C4C2414yes—
665C23×C4C2414yes—
666C23×C4C2414yes—
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2414yes—
673C23×C4C2414yes—
674C23×C4C2414yes—
675C23×C4C2414yes—
676C23×C4C2414yes—
677C23×C4C2414yes—
678C23×C4C2414yes—
679C23×C4C2414yes—
680#126—416no—
681#124—232no—
682#124—232no—
683#123—416no—
684#123—416no—
685#123—416no—
686C22⋊Q8—232no—
687C22⋊Q8—416no—
688#121—416no—
689#121—416no—
690#120—232no—
691#120—416no—
692C4×Q8—416no—
693C4×D4—232no—
694C4×D4—416no—
695C4×D4—416no—
696C4×D4—416no—
697C2×C4⋊C4—24no—
698C2×C4⋊C4—24no—
699C2×C4⋊C4—24no—
700C2×C4⋊C4—24no—
701C2×C4⋊C4—24no—
702C2×C4⋊C4—24no—
703C2×C4⋊C4—24no—
704C2×C4⋊C4—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—416no—
712C2×C4⋊C4—42no—
713C2×C4⋊C4—42no—
714C2×C4⋊C4—42no—
715C2×C4⋊C4—42no—
716C2×C4⋊C4—42no—
717C2×C4⋊C4—42no—
718C2×C4⋊C4—42no—
719C2×C4⋊C4—42no—
720C2×C4⋊C4—42no—
721C2×C4⋊C4—42no—
722C2×C4⋊C4—42no—
723C2×C4⋊C4—42no—
724C2×C4⋊C4—42no—
725C2×C4⋊C4—42no—
726C2×C4⋊C4—42no—
727C2×C4⋊C4—42no—
728C2×C4⋊C4—42no—
729C2×C4⋊C4—42no—
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×C4⋊C4C2414yes—
760C2×C4⋊C4C2414yes—
761C2×C22⋊C4—24no—
762C2×C22⋊C4—24no—
763C2×C22⋊C4—24no—
764C2×C22⋊C4—24no—
765C2×C22⋊C4—24no—
766C2×C22⋊C4—24no—
767C2×C22⋊C4—24no—
768C2×C22⋊C4—24no—
769C2×C22⋊C4—24no—
770C2×C22⋊C4—24no—
771C2×C22⋊C4—24no—
772C2×C22⋊C4—24no—
773C2×C22⋊C4—24no—
774C2×C22⋊C4—24no—
775C2×C22⋊C4—24no—
776C2×C22⋊C4—24no—
777C2×C22⋊C4—24no—
778C2×C22⋊C4—24no—
779C2×C22⋊C4—24no—
780C2×C22⋊C4—24no—
781C2×C22⋊C4—24no—
782C2×C22⋊C4—24no—
783C2×C22⋊C4—232no—
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—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#4118yes—
808C2×C22⋊C4#4118yes—
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×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×C42—24no—
856C2×C42—24no—
857C2×C42—24no—
858C2×C42—24no—
859C2×C42—42no—
860C2×C42—42no—
861C2×C42—42no—
862C2×C42—42no—
863C2×C42—42no—
864C2×C42—42no—
865C2×C42C2414yes—
866C2×C42C2414yes—
867C2×C42C2414yes—
868C2×C42C2414yes—
869C2×C42C2414yes—
870C2×C42C2414yes—
871C2×C42C2414yes—
872C2×C42C2414yes—
873C2×C42C2414yes—
874C2×C42C2414yes—
875#95C2414yes—
876#95C2414yes—
877#95C2414yes—
878#95C2414yes—
879#95C2414yes—
880#95C2414yes—
881#95C2414yes—
882#95C2414yes—
883#95C2414yes—
884#95C2414yes—
885#95C2414yes—
886#95C2414yes—
887#95C2414yes—
888#95C2414yes—
889#95C2414yes—
890#95C2414yes—
891#95C2414yes—
892#95C2414yes—
893#95C2414yes—
894#95C2414yes—
895#95C2414yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899#95C2414yes—
900#95C2414yes—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921C24—22no—
922C24—22no—
923C24—22no—
924C24—22no—
925C24—232no—
926C24—28no—
927C24—22no—
928C24—22no—
929C24—22no—
930C24—28no—
931C24—22no—
932C24—22no—
933C24—22no—
934C24—22no—
935C24—22no—
936C24—28no—
937C24—22no—
938C24—22no—
939C24—22no—
940C24—22no—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—28no—
945C24—22no—
946C24—22no—
947C24—22no—
948C24—22no—
949C24—22no—
950C24—22no—
951C24—22no—
952C24—28no—
953C24—22no—
954C24—22no—
955C24—22no—
956C24—22no—
957C24—44no—
958C24—44no—
959C24—416no—
960C24—416no—
961C24—416no—
962C24—416no—
963C24—416no—
964C24—416no—
965C24C2×#4114yes—
966C24C2×#4114yes—
967C24H(5,𝔽2)14yes—
968C24H(5,𝔽2)14yes—
969C242−1+414yes—
970C24C2512yes—
971C24C2512yes—
972C24C2512yes—
973C24C2512yes—
974C24C2512yes—
975C24C2511yescharacteristic
976C2×Q8—28no—
977C2×Q8—28no—
978C2×Q8—28no—
979C2×Q8—44no—
980C2×Q8—44no—
981C2×Q8—44no—
982C2×Q8—416no—
983C2×Q8—88no—
984C2×D4—28no—
985C2×D4—28no—
986C2×D4—28no—
987C2×D4—28no—
988C2×D4—28no—
989C2×D4—28no—
990C2×D4—28no—
991C2×D4—28no—
992C2×D4—28no—
993C2×D4—28no—
994C2×D4—28no—
995C2×D4—28no—
996C2×D4—44no—
997C2×D4—44no—
998C2×D4—416no—
999C2×D4—416no—
1000C2×D4—44no—
1001C2×D4—44no—
1002C2×D4—44no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—416no—
1008C2×D4—416no—
1009C2×D4—88no—
1010C2×D4—88no—
1011C2×D4—88no—
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—28no—
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—28no—
1070C22×C4—28no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—28no—
1075C22×C4—28no—
1076C22×C4—28no—
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—28no—
1093C22×C4—28no—
1094C22×C4—28no—
1095C22×C4—28no—
1096C22×C4—28no—
1097C22×C4—28no—
1098C22×C4—28no—
1099C22×C4—28no—
1100C22×C4—44no—
1101C22×C4—44no—
1102C22×C4—44no—
1103C22×C4—44no—
1104C22×C4—44no—
1105C22×C4—44no—
1106C22×C4—44no—
1107C22×C4—44no—
1108C22×C4—44no—
1109C22×C4—44no—
1110C22×C4—44no—
1111C22×C4—44no—
1112C22×C4—44no—
1113C22×C4—44no—
1114C22×C4—44no—
1115C22×C4—44no—
1116C22×C4—44no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—416no—
1122C22×C4—416no—
1123C22×C4—416no—
1124C22×C4—416no—
1125C22×C4—416no—
1126C22×C4—416no—
1127C22×C4—416no—
1128C22×C4—4128no—
1129C22×C4—416no—
1130C22×C4—88no—
1131C22×C4—88no—
1132C22×C4—88no—
1133C22×C4—88no—
1134C22×C4C2×#4114yes—
1135C22×C4C2×#4114yes—
1136C22×C4C2×#4114yes—
1137C22×C4C2×#4114yes—
1138C22×C4H(5,𝔽2)14yes—
1139C22×C4C2512yes—
1140C22×C4C2512yes—
1141C22×C4C2512yes—
1142C22×C4C2512yes—
1143C22×C4C2512yes—
1144C22×C4C2512yes—
1145C22×C4C2512yes—
1146C22×C4C2512yes—
1147C22×C4C2512yes—
1148C22×C4C2512yes—
1149C22×C4C2512yes—
1150C22×C4C2512yes—
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2512yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2512yes—
1158C22×C4C2512yes—
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C4⋊C4—28no—
1166C4⋊C4—28no—
1167C4⋊C4—28no—
1168C4⋊C4—28no—
1169C4⋊C4—28no—
1170C4⋊C4—28no—
1171C4⋊C4—28no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C4⋊C4—44no—
1184C4⋊C4—44no—
1185C4⋊C4—44no—
1186C4⋊C4—44no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C22⋊C4—28no—
1197C22⋊C4—28no—
1198C22⋊C4—28no—
1199C22⋊C4—28no—
1200C22⋊C4—28no—
1201C22⋊C4—28no—
1202C22⋊C4—28no—
1203C22⋊C4—28no—
1204C22⋊C4—28no—
1205C22⋊C4—28no—
1206C22⋊C4—28no—
1207C22⋊C4—28no—
1208C22⋊C4—28no—
1209C22⋊C4—28no—
1210C22⋊C4—28no—
1211C22⋊C4—28no—
1212C22⋊C4—28no—
1213C22⋊C4—28no—
1214C22⋊C4—28no—
1215C22⋊C4—28no—
1216C22⋊C4—28no—
1217C22⋊C4—28no—
1218C22⋊C4—44no—
1219C22⋊C4—44no—
1220C22⋊C4—44no—
1221C22⋊C4—44no—
1222C22⋊C4—44no—
1223C22⋊C4—44no—
1224C22⋊C4—44no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—44no—
1228C22⋊C4—44no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4C2×#41116yes—
1241C22⋊C4C2×#41116yes—
1242C42—28no—
1243C42—28no—
1244C42—28no—
1245C42—28no—
1246C42—44no—
1247C42—44no—
1248C42—44no—
1249C42—44no—
1250C42—44no—
1251C42—44no—
1252C23—22no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—28no—
1257C23—28no—
1258C23—28no—
1259C23—28no—
1260C23—28no—
1261C23—28no—
1262C23—232no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—28no—
1276C23—28no—
1277C23—28no—
1278C23—28no—
1279C23—28no—
1280C23—28no—
1281C23—22no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—22no—
1286C23—22no—
1287C23—22no—
1288C23—22no—
1289C23—22no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—22no—
1295C23—416no—
1296C23—416no—
1297C23—416no—
1298C23—416no—
1299C23—416no—
1300C23—4128no—
1301C23—416no—
1302C23—44no—
1303C23—44no—
1304C23—44no—
1305C23—44no—
1306C23—44no—
1307C23—44no—
1308C23—44no—
1309C23—44no—
1310C23—44no—
1311C23—44no—
1312C23—44no—
1313C23—44no—
1314C23—44no—
1315C23—44no—
1316C23—44no—
1317C23—44no—
1318C23—44no—
1319C23—44no—
1320C23—44no—
1321C23—44no—
1322C23—44no—
1323C23—44no—
1324C23#542116yes—
1325C23C22×#4114yes—
1326C23C22×#4114yes—
1327C23C22×#4112yes—
1328C23C22×#4112yes—
1329C23C2×H(5,𝔽2)14yes—
1330C23C2×H(5,𝔽2)14yes—
1331C23C2×H(5,𝔽2)12yes—
1332C23C2×H(5,𝔽2)12yes—
1333C23C2×H(5,𝔽2)12yes—
1334C23C2×2−1+414yes—
1335C23C2×2−1+412yes—
1336C23#58512yes—
1337C23C2611yescharacteristic
1338Q8—416no—
1339Q8—88no—
1340D4—416no—
1341D4—416no—
1342D4—416no—
1343D4—416no—
1344D4—88no—
1345D4—88no—
1346D4—88no—
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—28no—
1358C2×C4—28no—
1359C2×C4—28no—
1360C2×C4—28no—
1361C2×C4—28no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—416no—
1426C2×C4—416no—
1427C2×C4—416no—
1428C2×C4—416no—
1429C2×C4—416no—
1430C2×C4—416no—
1431C2×C4—416no—
1432C2×C4—416no—
1433C2×C4—44no—
1434C2×C4—44no—
1435C2×C4—44no—
1436C2×C4—44no—
1437C2×C4—44no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—44no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—44no—
1452C2×C4—44no—
1453C2×C4—44no—
1454C2×C4—88no—
1455C2×C4—88no—
1456C2×C4—88no—
1457C2×C4—88no—
1458C2×C4C22×#4114yes—
1459C2×C4C22×#4114yes—
1460C2×C4C22×#4114yes—
1461C2×C4C22×#4114yes—
1462C2×C4C2×H(5,𝔽2)14yes—
1463C22—24no—
1464C22—24no—
1465C22—24no—
1466C22—24no—
1467C22—232no—
1468C22—24no—
1469C22—24no—
1470C22—24no—
1471C22—24no—
1472C22—24no—
1473C22—24no—
1474C22—24no—
1475C22—24no—
1476C22—464no—
1477C22—42no—
1478C22—42no—
1479C22—42no—
1480C22—42no—
1481C22—416no—
1482C22—416no—
1483C22—42no—
1484C22—42no—
1485C22—42no—
1486C22—42no—
1487C22—42no—
1488C22—42no—
1489C22—42no—
1490C22—42no—
1491C22—42no—
1492C22—42no—
1493C22—42no—
1494C22—42no—
1495C22—42no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—88no—
1502C22—88no—
1503C22C2×#54218yes—
1504C22C2×#54214yes—
1505C22#348114yes—
1506C22#349214yes—
1507C22#351314yes—
1508C22#351314yes—
1509C22#353214yes—
1510C22#354114yes—
1511C22C23×#4111yescharacteristic
1512C22C23×#4111yescharacteristic
1513C22C22×H(5,𝔽2)11yescharacteristic
1514C22C22×H(5,𝔽2)11yescharacteristic
1515C22C22×H(5,𝔽2)11yescharacteristic
1516C22C22×2−1+411yescharacteristic
1517C22C2×#58511yescharacteristic
1518C4—24no—
1519C4—24no—
1520C4—24no—
1521C4—24no—
1522C4—24no—
1523C4—42no—
1524C4—42no—
1525C4—42no—
1526C4—42no—
1527C4—42no—
1528C4—42no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4—42no—
1534C4—42no—
1535C4—42no—
1536C4—42no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C2—28no—
1545C2—44no—
1546C2—44no—
1547C2—82no—
1548C2—82no—
1549C2#3850318yesdirect product factor
1550C2C22×#54211yescharacteristic
1551C2C2×#348111yescharacteristic
1552C2C2×#353211yescharacteristic
1553C2C2×#354111yescharacteristic
1554C2C2×#349211yescharacteristic
1555C2C2×#351311yescharacteristic
1556C2C2×#351311yescharacteristic
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×#2790C2semidirect
2. C2×#2764C2semidirect
3. C2×#2757C2semidirect
4. C2×#2751C2semidirect
5. C2×#2746C2semidirect
6. C2×#2718C2semidirect
7. C2×#2712C2semidirect
8. C2×#2701C2semidirect
9. #38503C2direct (N × H)
10. C2×#2849C2semidirect
11. C2×#2591C2semidirect
12. C2×#2527C2semidirect
13. C2×#2502C2semidirect
14. C2×#2510C2semidirect
15. C2×#2458C2semidirect
16. C2×#2468C2semidirect
17. C2×#2422C2semidirect
18. C2×#2450C2semidirect
19. C2×#2450C2semidirect
20. C2×#2480C2semidirect
21. C2×#2472C2semidirect
22. C2×#2472C2semidirect
24. C2×#2443C2semidirect
25. C2×#2652C2semidirect
26. C2×#2630C2semidirect
27. C2×#2360C2semidirect
28. C2×#2353C2semidirect
29. C2×#2337C2semidirect
30. C2×#2326C2semidirect
31. C2×C4×#120C2semidirect
32. C22×#385C2semidirect
39. C22×#123C22semidirect
46. C22×C4×Q8C22semidirect
55. #2849C22semidirect
56. #2790C22semidirect
57. #2764C22semidirect
58. #2757C22semidirect
59. #2751C22semidirect
60. #2746C22semidirect
61. #2718C22semidirect
62. #2712C22semidirect
63. #2701C22semidirect
64. #2652C22semidirect
65. #2630C22semidirect
66. #2591C22semidirect
67. #2527C22semidirect
68. #2510C22semidirect
69. #2502C22semidirect
70. #2480C22semidirect
71. #2472C22semidirect
72. #2472C22semidirect
73. #2468C22semidirect
74. #2458C22semidirect
75. #2450C22semidirect
76. #2450C22semidirect
77. #2443C22semidirect
79. #2422C22semidirect
80. C2×#401C22semidirect
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
93. C2×#398C22semidirect
99. C2×#397C22semidirect
100. C2×#397C22semidirect
101. C2×#397C22semidirect
104. C2×#396C22semidirect
105. C2×#396C22semidirect
112. C2×#394C22semidirect
113. C2×#394C22semidirect
114. C2×#394C22semidirect
117. C2×#393C22semidirect
118. C2×#393C22semidirect
120. #2360C22semidirect
121. #2353C22semidirect
122. #2337C22semidirect
123. #2326C22semidirect
124. C4×#120C22semidirect
125. C2×#391C22semidirect
126. C2×#391C22semidirect
127. C2×#391C22semidirect
128. C2×#391C22semidirect
129. C2×#391C22semidirect
133. C2×#389C22semidirect
134. C2×#389C22semidirect
135. C2×#389C22semidirect
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×#387C22semidirect
154. C2×#387C22semidirect
155. C2×#387C22semidirect
156. C2×#387C22semidirect
157. C2×#387C22semidirect
158. C2×#387C22semidirect
159. C2×#387C22semidirect
160. C2×#387C22semidirect
192. C2×#385C22semidirect
193. C2×#385C22semidirect
194. C2×#385C22semidirect
195. C2×#385C22semidirect
196. C2×#384C22semidirect
197. C2×#384C22semidirect
198. C2×#383C22semidirect
199. C2×#383C22semidirect
202. C2×#381C22semidirect
204. C2×#380C22semidirect
205. C2×#380C22semidirect
208. C2×C4×C4⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×#376C22semidirect
256. C2×#123C23semidirect
270. C2×C4×Q8C23semidirect
374. #401C23semidirect
375. #400C23semidirect
376. #400C23semidirect
377. #400C23semidirect
378. #400C23semidirect
379. #400C23semidirect
380. #399C23semidirect
381. #398C23semidirect
382. #398C23semidirect
383. #398C23semidirect
384. #398C23semidirect
385. #398C23semidirect
386. #398C23semidirect
387. #398C23semidirect
393. #397C23semidirect
394. #397C23semidirect
395. #397C23semidirect
398. #396C23semidirect
399. #396C23semidirect
406. #394C23semidirect
407. #394C23semidirect
408. #394C23semidirect
411. #393C23semidirect
412. #393C23semidirect
414. #391C23semidirect
415. #391C23semidirect
416. #391C23semidirect
417. #391C23semidirect
418. #391C23semidirect
422. #389C23semidirect
423. #389C23semidirect
424. #389C23semidirect
433. #388C23semidirect
434. #388C23semidirect
435. #388C23semidirect
436. #388C23semidirect
437. #388C23semidirect
438. #388C23semidirect
439. #388C23semidirect
440. #388C23semidirect
441. #388C23semidirect
442. #387C23semidirect
443. #387C23semidirect
444. #387C23semidirect
445. #387C23semidirect
446. #387C23semidirect
447. #387C23semidirect
448. #387C23semidirect
449. #387C23semidirect
481. #385C23semidirect
482. #385C23semidirect
483. #385C23semidirect
484. #384C23semidirect
485. #384C23semidirect
486. #383C23semidirect
487. #383C23semidirect
490. #381C23semidirect
492. #380C23semidirect
493. #380C23semidirect
496. C4×C4⋊C4C23semidirect
503. C4×C22⋊C4C23semidirect
504. #376C23semidirect
1549. C2#38503direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27902
C2×#27642
C2×#27572
C2×#27512
C2×#27462
C2×#27182
C2×#27122
C2×#27012
#385032
C2×#28492
C2×#25912
C2×#25272
C2×#25022
C2×#25102
C2×#24582
C2×#24682
C2×#24222
C2×#24502
C2×#24802
C2×#24722
C2×#24242
C2×#24432
C2×#26522
C2×#26302
C2×#23602
C2×#23532
C2×#23372
C2×#23262
C2×C4×#1202
C22×#3852