Finite Group Databasebeta

← C2×#52473 #8092150

Subgroups — C2×#52473 #8092150

Order 512.

6098 conjugacy classes of subgroups.

The subgroup lattice has 1502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52473C2132yesmaximal, direct product factor
2C2×#2765C211yesmaximal, characteristic, complemented
3C2×#2729C211yesmaximal, characteristic, complemented
4C2×#2725C211yesmaximal, characteristic, complemented
5C2×#2720C211yesmaximal, characteristic, complemented
6C2×#2707C211yesmaximal, characteristic, complemented
7C2×#2695C211yesmaximal, characteristic, complemented
8C2×#2683C211yesmaximal, characteristic, complemented
9C2×#2674C211yesmaximal, characteristic, complemented
10C2×#2823C211yesmaximal, characteristic, complemented
11C2×#2820C211yesmaximal, characteristic, complemented
12C2×#2841C211yesmaximal, characteristic, complemented
13C2×#2831C211yesmaximal, characteristic, complemented
14C2×#2838C211yesmaximal, characteristic, complemented
15C2×#2836C211yesmaximal, characteristic, complemented
16C2×#2827C211yesmaximal, characteristic, complemented
17C2×#2814C211yesmaximal, characteristic, complemented
18C2×#2442C211yesmaximal, characteristic, complemented
19C2×#2417C211yesmaximal, characteristic, complemented
20C2×#2440C211yesmaximal, characteristic, complemented
21C2×#2481C211yesmaximal, characteristic, complemented
22C2×#2480C211yesmaximal, characteristic, complemented
23C2×#2473C211yesmaximal, characteristic, complemented
24C2×#2472C211yesmaximal, characteristic
25C2×#2412C211yesmaximal, characteristic
26C2×#2449C211yesmaximal, characteristic, complemented
27C2×#2418C211yesmaximal, characteristic
28C2×#2437C211yesmaximal, characteristic, complemented
29C2×#2437C211yesmaximal, characteristic, complemented
30C2×#2659C211yesmaximal, characteristic, complemented
31C2×#2643C211yesmaximal, characteristic, complemented
32C22×#396C211yesmaximal, characteristic, complemented
33C22×C4⋊Q8C2211yescharacteristic, complemented
34C22×#126C2211yescharacteristic
35C22×#126C2211yescharacteristic, complemented
36C22×#125C2211yescharacteristic, complemented
37C22×#125C2211yescharacteristic, complemented
38C22×#124C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45C22×C22⋊Q8C2211yescharacteristic
46C22×C22⋊Q8C2211yescharacteristic, complemented
47C22×C22⋊Q8C2211yescharacteristic, complemented
48C22×#120C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C23×C4⋊C4C2211yescharacteristic
51C23×C4⋊C4C2211yescharacteristic
52C23×C4⋊C4C2211yescharacteristic
53C23×C22⋊C4C2211yescharacteristic
54C23×C22⋊C4C2211yescharacteristic
55C23×C22⋊C4C2211yescharacteristic
56C23×C22⋊C4C2211yescharacteristic
57#2841C22116yescomplemented
58#2838C22116yescomplemented
59#2836C22116yescomplemented
60#2831C22116yescomplemented
61#2827C22116yescomplemented
62#2823C22116yescomplemented
63#2820C22116yescomplemented
64#2814C22116yescomplemented
65#2765C22116yescomplemented
66#2729C22116yescomplemented
67#2725C22116yescomplemented
68#2720C22116yescomplemented
69#2707C22116yescomplemented
70#2695C22116yescomplemented
71#2683C22116yescomplemented
72#2674C22116yescomplemented
73#2659C22116yescomplemented
74#2643C22116yescomplemented
75#2481C22116yescomplemented
76#2480C22116yescomplemented
77#2473C22116yescomplemented
78#2472C22116yes—
79#2449C22116yescomplemented
80#2442C22116yescomplemented
81#2440C22116yescomplemented
82#2437C22116yescomplemented
83#2437C22116yescomplemented
84#2418C22116yes—
85#2417C22116yescomplemented
86#2412C22116yes—
87C2×#401C2211yescharacteristic, complemented
88C2×#400C2211yescharacteristic, complemented
89C2×#400C2211yescharacteristic, complemented
90C2×#400C2211yescharacteristic, complemented
91C2×#400C2211yescharacteristic, complemented
92C2×#400C2211yescharacteristic, complemented
93C2×#400C2211yescharacteristic, complemented
94C2×#400C2211yescharacteristic, complemented
95C2×#400C2211yescharacteristic, complemented
96C2×#399C2211yescharacteristic
97C2×#399C2211yescharacteristic
98C2×#399C2211yescharacteristic
99C2×#399C2211yescharacteristic, complemented
100C2×#398C2211yescharacteristic, complemented
101C2×#398C2211yescharacteristic, complemented
102C2×#398C2211yescharacteristic, complemented
103C2×#398C2211yescharacteristic, complemented
104C2×#398C2211yescharacteristic, complemented
105C2×#398C2211yescharacteristic, complemented
106C2×#398C2211yescharacteristic, complemented
107C2×#398C2211yescharacteristic, complemented
108C2×#398C2211yescharacteristic, complemented
109C2×#398C2211yescharacteristic, complemented
110C2×#398C2211yescharacteristic, complemented
111C2×#398C2211yescharacteristic, complemented
112C2×#398C2211yescharacteristic, complemented
113C2×#398C2211yescharacteristic, complemented
114C2×#397C2211yescharacteristic
115C2×#397C2211yescharacteristic
116C2×#397C2211yescharacteristic
117C2×#397C2211yescharacteristic
118C2×#397C2211yescharacteristic
119C2×#397C2211yescharacteristic
120C2×#397C2211yescharacteristic
121C2×#397C2211yescharacteristic, complemented
122C2×#397C2211yescharacteristic, complemented
123C2×#397C2211yescharacteristic, complemented
124C2×#397C2211yescharacteristic, complemented
125C2×#396C2211yescharacteristic
126C2×#396C2211yescharacteristic
127C2×#396C2211yescharacteristic
128C2×#396C2211yescharacteristic
129C2×#396C2211yescharacteristic
130C2×#396C2211yescharacteristic
131C2×#396C2211yescharacteristic
132C2×#396C2211yescharacteristic
133C2×#396C2211yescharacteristic
134C2×#396C2211yescharacteristic
135C2×#396C2211yescharacteristic
136C2×#396C2211yescharacteristic
137C2×#396C2211yescharacteristic
138C2×#396C22116yescomplemented
139C2×#396C2211yescharacteristic, complemented
140C2×#396C2211yescharacteristic, complemented
141C2×#396C2211yescharacteristic, complemented
142C2×#396C2211yescharacteristic, complemented
143C2×#396C2211yescharacteristic, complemented
144C2×#395C2211yescharacteristic, complemented
145C2×#395C2211yescharacteristic, complemented
146C2×#395C2211yescharacteristic, complemented
147C2×#395C2211yescharacteristic, complemented
148C2×#395C2211yescharacteristic, complemented
149C2×#395C2211yescharacteristic, complemented
150C2×#395C2211yescharacteristic, complemented
151C2×#394C2211yescharacteristic
152C2×#394C2211yescharacteristic
153C2×#394C2211yescharacteristic
154C2×#394C2211yescharacteristic
155C2×#394C2211yescharacteristic
156C2×#394C2211yescharacteristic
157C2×#393C2211yescharacteristic
158C2×#393C2211yescharacteristic
159C2×#393C2211yescharacteristic
160C2×#391C2211yescharacteristic, complemented
161C2×#390C2211yescharacteristic
162C2×#389C2211yescharacteristic, complemented
163C2×#389C2211yescharacteristic, complemented
164C2×#389C2211yescharacteristic, complemented
165C2×#389C2211yescharacteristic, complemented
166C2×#389C2211yescharacteristic, complemented
167C2×#389C2211yescharacteristic, complemented
168C2×#389C2211yescharacteristic, complemented
169C2×#388C2211yescharacteristic
170C2×#388C2211yescharacteristic
171C2×#388C2211yescharacteristic
172C2×#388C2211yescharacteristic
173C2×#388C2211yescharacteristic
174C2×#388C2211yescharacteristic
175C2×#388C2211yescharacteristic
176C2×#388C2211yescharacteristic, complemented
177C2×#387C2211yescharacteristic, complemented
178C2×#387C2211yescharacteristic, complemented
179C2×#387C2211yescharacteristic, complemented
180C2×#387C2211yescharacteristic, complemented
181C2×#387C2211yescharacteristic, complemented
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#385C2211yescharacteristic
190C2×#385C2211yescharacteristic
191C2×#385C2211yescharacteristic
192C2×#385C2211yescharacteristic
193C2×#385C2211yescharacteristic
194C2×#385C2211yescharacteristic
195C2×#385C2211yescharacteristic
196C2×#385C2211yescharacteristic
197C2×#385C2211yescharacteristic
198C2×#385C2211yescharacteristic
199C2×#385C2211yescharacteristic
200C2×#385C2211yescharacteristic
201C2×#385C2211yescharacteristic, complemented
202C2×#384C2211yescharacteristic, complemented
203C2×#382C2211yescharacteristic, complemented
204C2×#381C2211yescharacteristic
205C2×#380C2211yescharacteristic
206C2×#380C2211yescharacteristic
207C2×#380C2211yescharacteristic
208C2×#380C2211yescharacteristic
209C2×#380C2211yescharacteristic
210C2×#380C2211yescharacteristic
211C2×#380C2211yescharacteristic
212C2×#380C2211yescharacteristic
213C2×#380C2211yescharacteristic, complemented
214C2×#379C2211yescharacteristic
215C2×#379C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic
218C22×#95C2211yescharacteristic
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C24×C4C2311yescharacteristic
227C24×C4C2311yescharacteristic
228C24×C4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C2×C4⋊Q8—44no—
236C2×C4⋊Q8C2318yescomplemented
237C2×#126—44no—
238C2×#126—44no—
239C2×#126C2318yes—
240C2×#126C2318yescomplemented
241C2×#125—44no—
242C2×#125—44no—
243C2×#125C2318yescomplemented
244C2×#125C2318yescomplemented
245C2×#124—44no—
246C2×#124C2318yes—
247C2×#123—44no—
248C2×#123—44no—
249C2×#123C2318yes—
250C2×#123C2318yes—
251C2×C22⋊Q8—44no—
252C2×C22⋊Q8—44no—
253C2×C22⋊Q8—44no—
254C2×C22⋊Q8—44no—
255C2×C22⋊Q8—44no—
256C2×C22⋊Q8—44no—
257C2×C22⋊Q8—44no—
258C2×C22⋊Q8C2318yes—
259C2×C22⋊Q8C2318yes—
260C2×C22⋊Q8C2318yes—
261C2×C22⋊Q8C2318yes—
262C2×C22⋊Q8C2318yes—
263C2×C22⋊Q8C2318yescomplemented
264C2×C22⋊Q8C2318yescomplemented
265C2×#120—44no—
266C2×#120C2318yes—
267C2×C4×D4—44no—
268C2×C4×D4C2318yes—
269C22×C4⋊C4—44no—
270C22×C4⋊C4—44no—
271C22×C4⋊C4—44no—
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊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⋊C4C2311yescharacteristic
316C22×C4⋊C4C2318yes—
317C22×C4⋊C4C2318yes—
318C22×C4⋊C4C2318yes—
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C22⋊C4—44no—
324C22×C22⋊C4—44no—
325C22×C22⋊C4—44no—
326C22×C22⋊C4—44no—
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2318yes—
369C22×C22⋊C4C2318yes—
370C22×C22⋊C4C2318yes—
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2318yes—
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378#401C2318yescomplemented
379#400C2318yescomplemented
380#400C2318yescomplemented
381#400C2318yescomplemented
382#400C2318yescomplemented
383#400C2318yescomplemented
384#400C2318yescomplemented
385#400C2318yescomplemented
386#400C2318yescomplemented
387#399C2318yes—
388#399C2318yes—
389#399C2318yes—
390#399C2318yescomplemented
391#398C2318yescomplemented
392#398C2318yescomplemented
393#398C2318yescomplemented
394#398C2318yescomplemented
395#398C2318yescomplemented
396#398C2318yescomplemented
397#398C2318yescomplemented
398#398C2318yescomplemented
399#398C2318yescomplemented
400#398C2318yescomplemented
401#398C2318yescomplemented
402#398C2318yescomplemented
403#398C2318yescomplemented
404#398C2318yescomplemented
405#397C2318yes—
406#397C2318yes—
407#397C2318yes—
408#397C2318yes—
409#397C2318yes—
410#397C2318yes—
411#397C2318yes—
412#397C2318yescomplemented
413#397C2318yescomplemented
414#397C2318yescomplemented
415#397C2318yescomplemented
416#396C2318yes—
417#396C2318yes—
418#396C2318yes—
419#396C2318yes—
420#396C2318yes—
421#396C2318yes—
422#396C2318yes—
423#396C2318yes—
424#396C2318yes—
425#396C2318yes—
426#396C2318yes—
427#396C2318yes—
428#396C2318yes—
429#396C2318yescomplemented
430#396C2318yescomplemented
431#396C2318yescomplemented
432#396C2318yescomplemented
433#396C2318yescomplemented
434#395C2318yescomplemented
435#395C2318yescomplemented
436#395C2318yescomplemented
437#395C2318yescomplemented
438#395C2318yescomplemented
439#395C2318yescomplemented
440#395C2318yescomplemented
441#394C2318yes—
442#394C2318yes—
443#394C2318yes—
444#394C2318yes—
445#394C2318yes—
446#394C2318yes—
447#393C2318yes—
448#393C2318yes—
449#393C2318yes—
450#391C2318yescomplemented
451#390C2318yes—
452#389C2318yescomplemented
453#389C2318yescomplemented
454#389C2318yescomplemented
455#389C2318yescomplemented
456#389C2318yescomplemented
457#389C2318yescomplemented
458#389C2318yescomplemented
459#388C2318yes—
460#388C2318yes—
461#388C2318yes—
462#388C2318yes—
463#388C2318yes—
464#388C2318yes—
465#388C2318yes—
466#388C2318yescomplemented
467#387C2318yescomplemented
468#387C2318yescomplemented
469#387C2318yescomplemented
470#387C2318yescomplemented
471#387C2318yescomplemented
472#386C2318yes—
473#386C2318yes—
474#386C2318yes—
475#386C2318yes—
476#386C2318yes—
477#386C2318yes—
478#386C2318yes—
479#385C2318yes—
480#385C2318yes—
481#385C2318yes—
482#385C2318yes—
483#385C2318yes—
484#385C2318yes—
485#385C2318yes—
486#385C2318yes—
487#385C2318yes—
488#385C2318yes—
489#385C2318yes—
490#385C2318yes—
491#385C2318yescomplemented
492#384C2318yescomplemented
493#382C2318yescomplemented
494#381C2318yes—
495#380C2318yes—
496#380C2318yes—
497#380C2318yes—
498#380C2318yes—
499#380C2318yes—
500#380C2318yes—
501#380C2318yes—
502#380C2318yes—
503#380C2318yescomplemented
504#379C2318yes—
505#379C2318yes—
506C4×C22⋊C4C2318yes—
507C4×C22⋊C4C2318yes—
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×#95C2318yes—
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C25—24no—
554C25—24no—
555C25—24no—
556C25—24no—
557C25—42no—
558C25—42no—
559C25—42no—
560C25C2411yescharacteristic
561C25C2411yescharacteristic
562C25C2411yescharacteristic
563C25C2414yes—
564C25C2411yescharacteristic
565C22×Q8—24no—
566C22×Q8—42no—
567C22×Q8—42no—
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—42no—
582C22×D4—42no—
583C22×D4—42no—
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—42no—
601C23×C4—42no—
602C23×C4—42no—
603C23×C4—42no—
604C23×C4—42no—
605C23×C4—42no—
606C23×C4—42no—
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×C4C2411yescharacteristic
617C23×C4C2411yescharacteristic
618C23×C4C2411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625C23×C4C2411yescharacteristic
626C23×C4C2411yescharacteristic
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×C4C2414yes—
641C23×C4C2414yes—
642C23×C4C2414yes—
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2414yes—
647C23×C4C2414yes—
648C23×C4C2414yes—
649C23×C4C2414yes—
650C23×C4C2414yes—
651C23×C4C2414yes—
652C4⋊Q8—416no—
653#126—416no—
654#126—416no—
655#125—416no—
656#125—416no—
657#124—416no—
658#123—416no—
659#123—416no—
660C22⋊Q8—416no—
661C22⋊Q8—416no—
662C22⋊Q8—416no—
663C22⋊Q8—416no—
664C22⋊Q8—416no—
665C22⋊Q8—416no—
666C22⋊Q8—416no—
667#120—416no—
668C4×D4—416no—
669C2×C4⋊C4—24no—
670C2×C4⋊C4—24no—
671C2×C4⋊C4—24no—
672C2×C4⋊C4—24no—
673C2×C4⋊C4—24no—
674C2×C4⋊C4—24no—
675C2×C4⋊C4—24no—
676C2×C4⋊C4—24no—
677C2×C4⋊C4—24no—
678C2×C4⋊C4—24no—
679C2×C4⋊C4—24no—
680C2×C4⋊C4—24no—
681C2×C4⋊C4—416no—
682C2×C4⋊C4—416no—
683C2×C4⋊C4—416no—
684C2×C4⋊C4—42no—
685C2×C4⋊C4—42no—
686C2×C4⋊C4—42no—
687C2×C4⋊C4—42no—
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⋊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⋊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×C4⋊C4C2414yes—
744C2×C4⋊C4C2414yes—
745C2×C4⋊C4C2414yes—
746C2×C4⋊C4C2414yes—
747C2×C4⋊C4C2414yes—
748C2×C4⋊C4C2414yes—
749C2×C4⋊C4C2414yes—
750C2×C4⋊C4C2414yes—
751C2×C4⋊C4C2414yes—
752C2×C4⋊C4C2414yes—
753C2×C4⋊C4C2414yes—
754C2×C4⋊C4C2414yes—
755C2×C4⋊C4C2414yes—
756C2×C4⋊C4C2414yes—
757C2×C4⋊C4C2414yes—
758C2×C4⋊C4C2414yes—
759C2×C4⋊C4C2414yes—
760C2×C4⋊C4C2414yes—
761C2×C4⋊C4C2414yes—
762C2×C4⋊C4C2414yes—
763C2×C4⋊C4C2414yes—
764C2×C4⋊C4C2414yes—
765C2×C4⋊C4C2414yes—
766C2×C4⋊C4C2414yes—
767C2×C4⋊C4C2414yes—
768C2×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—24no—
784C2×C22⋊C4—24no—
785C2×C22⋊C4—416no—
786C2×C22⋊C4—416no—
787C2×C22⋊C4—416no—
788C2×C22⋊C4—416no—
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—42no—
808C2×C22⋊C4—42no—
809C2×C22⋊C4—42no—
810C2×C22⋊C4—42no—
811C2×C22⋊C4—42no—
812C2×C22⋊C4—42no—
813C2×C22⋊C4—42no—
814C2×C22⋊C4C2414yes—
815C2×C22⋊C4C2414yes—
816C2×C22⋊C4C2414yes—
817C2×C22⋊C4C2414yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2414yes—
821C2×C22⋊C4C2414yes—
822C2×C22⋊C4C2414yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×C22⋊C4C2414yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C42—24no—
857C2×C42—24no—
858C2×C42—42no—
859C2×C42—42no—
860C2×C42—42no—
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—22no—
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—22no—
930C24—22no—
931C24—28no—
932C24—22no—
933C24—22no—
934C24—22no—
935C24—28no—
936C24—28no—
937C24—28no—
938C24—44no—
939C24—44no—
940C24—44no—
941C24—416no—
942C24—416no—
943C24—416no—
944C24—416no—
945C24—88no—
946C24—88no—
947C24—88no—
948C24H(5,𝔽2)14yes—
949C242−1+414yes—
950C242−1+414yes—
951C242−1+414yes—
952C24C2512yes—
953C24C2512yes—
954C24C2512yes—
955C24C2512yes—
956C24C2511yescharacteristic
957C2×Q8—28no—
958C2×Q8—44no—
959C2×Q8—44no—
960C2×Q8—44no—
961C2×Q8—44no—
962C2×Q8—44no—
963C2×Q8—44no—
964C2×Q8—44no—
965C2×Q8—44no—
966C2×Q8—88no—
967C2×Q8—88no—
968C2×Q8—88no—
969C2×D4—28no—
970C2×D4—28no—
971C2×D4—28no—
972C2×D4—28no—
973C2×D4—44no—
974C2×D4—44no—
975C2×D4—44no—
976C2×D4—44no—
977C2×D4—44no—
978C2×D4—416no—
979C2×D4—88no—
980C2×D4—88no—
981C22×C4—22no—
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—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—28no—
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—28no—
1050C22×C4—28no—
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—28no—
1063C22×C4—28no—
1064C22×C4—28no—
1065C22×C4—28no—
1066C22×C4—28no—
1067C22×C4—28no—
1068C22×C4—28no—
1069C22×C4—28no—
1070C22×C4—44no—
1071C22×C4—44no—
1072C22×C4—44no—
1073C22×C4—44no—
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—416no—
1088C22×C4—416no—
1089C22×C4—88no—
1090C22×C4—88no—
1091C22×C4—88no—
1092C22×C4—88no—
1093C22×C4—88no—
1094C22×C4—88no—
1095C22×C4H(5,𝔽2)14yes—
1096C22×C4H(5,𝔽2)14yes—
1097C22×C4H(5,𝔽2)14yes—
1098C22×C4C2512yes—
1099C22×C4C2512yes—
1100C22×C4C2512yes—
1101C22×C4C2512yes—
1102C22×C4C2512yes—
1103C22×C4C2512yes—
1104C22×C4C2512yes—
1105C22×C4C2512yes—
1106C22×C4C2512yes—
1107C22×C4C2512yes—
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—
1125C4⋊C4—28no—
1126C4⋊C4—28no—
1127C4⋊C4—28no—
1128C4⋊C4—28no—
1129C4⋊C4—28no—
1130C4⋊C4—28no—
1131C4⋊C4—28no—
1132C4⋊C4—28no—
1133C4⋊C4—28no—
1134C4⋊C4—28no—
1135C4⋊C4—28no—
1136C4⋊C4—28no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—44no—
1140C4⋊C4—44no—
1141C4⋊C4—44no—
1142C4⋊C4—44no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
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—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
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⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C42—28no—
1216C42—28no—
1217C42—44no—
1218C42—44no—
1219C42—44no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
1224C23—28no—
1225C23—28no—
1226C23—28no—
1227C23—28no—
1228C23—28no—
1229C23—28no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—28no—
1237C23—28no—
1238C23—28no—
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—22no—
1253C23—416no—
1254C23—416no—
1255C23—416no—
1256C23—44no—
1257C23—44no—
1258C23—44no—
1259C23—44no—
1260C23—44no—
1261C23—416no—
1262C23—44no—
1263C23—44no—
1264C23—44no—
1265C23—44no—
1266C23—44no—
1267C23—44no—
1268C23—44no—
1269C23—44no—
1270C23—44no—
1271C23—44no—
1272C23—44no—
1273C23—44no—
1274C23—44no—
1275C23—88no—
1276C23—88no—
1277C23—88no—
1278C23—864no—
1279C23#563116yes—
1280C23C2×H(5,𝔽2)14yes—
1281C23C2×H(5,𝔽2)12yes—
1282C23C2×H(5,𝔽2)12yes—
1283C23C2×H(5,𝔽2)12yes—
1284C23C2×H(5,𝔽2)12yes—
1285C23C2×2−1+414yes—
1286C23C2×2−1+414yes—
1287C23C2×2−1+414yes—
1288C23C2×2−1+412yes—
1289C23C2×2−1+412yes—
1290C23C2×2−1+412yes—
1291C23C2611yescharacteristic
1292Q8—88no—
1293Q8—88no—
1294Q8—88no—
1295D4—416no—
1296D4—88no—
1297D4—88no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—28no—
1305C2×C4—28no—
1306C2×C4—28no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
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—416no—
1380C2×C4—416no—
1381C2×C4—416no—
1382C2×C4—44no—
1383C2×C4—44no—
1384C2×C4—44no—
1385C2×C4—44no—
1386C2×C4—44no—
1387C2×C4—44no—
1388C2×C4—44no—
1389C2×C4—44no—
1390C2×C4—44no—
1391C2×C4—44no—
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—88no—
1407C2×C4—88no—
1408C2×C4—88no—
1409C2×C4—88no—
1410C2×C4—88no—
1411C2×C4—88no—
1412C2×C4C2×H(5,𝔽2)14yes—
1413C2×C4C2×H(5,𝔽2)14yes—
1414C2×C4C2×H(5,𝔽2)14yes—
1415C22—24no—
1416C22—24no—
1417C22—24no—
1418C22—24no—
1419C22—24no—
1420C22—24no—
1421C22—232no—
1422C22—24no—
1423C22—24no—
1424C22—24no—
1425C22—42no—
1426C22—42no—
1427C22—42no—
1428C22—42no—
1429C22—416no—
1430C22—42no—
1431C22—42no—
1432C22—42no—
1433C22—42no—
1434C22—42no—
1435C22—42no—
1436C22—42no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—832no—
1445C22—88no—
1446C22—88no—
1447C22C2×#56318yes—
1448C22C2×#56314yes—
1449C22#353614yes—
1450C22#353614yes—
1451C22#353614yes—
1452C22#353714yes—
1453C22#353814yes—
1454C22#353814yes—
1455C22C22×H(5,𝔽2)11yescharacteristic
1456C22C22×H(5,𝔽2)11yescharacteristic
1457C22C22×H(5,𝔽2)11yescharacteristic
1458C22C22×H(5,𝔽2)11yescharacteristic
1459C22C22×2−1+411yescharacteristic
1460C22C22×2−1+411yescharacteristic
1461C22C22×2−1+411yescharacteristic
1462C4—24no—
1463C4—24no—
1464C4—24no—
1465C4—42no—
1466C4—42no—
1467C4—42no—
1468C4—42no—
1469C4—42no—
1470C4—42no—
1471C4—42no—
1472C4—42no—
1473C4—42no—
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—
1489C2—28no—
1490C2—44no—
1491C2—82no—
1492C2—82no—
1493C2#5247318yesdirect product factor
1494C2C22×#56311yescharacteristic
1495C2C2×#353611yescharacteristic
1496C2C2×#353611yescharacteristic
1497C2C2×#353611yescharacteristic
1498C2C2×#353711yescharacteristic
1499C2C2×#353811yescharacteristic
1500C2C2×#353811yescharacteristic
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. #52473C2direct (N × H)
2. C2×#2765C2semidirect
3. C2×#2729C2semidirect
4. C2×#2725C2semidirect
5. C2×#2720C2semidirect
6. C2×#2707C2semidirect
7. C2×#2695C2semidirect
8. C2×#2683C2semidirect
9. C2×#2674C2semidirect
10. C2×#2823C2semidirect
11. C2×#2820C2semidirect
12. C2×#2841C2semidirect
13. C2×#2831C2semidirect
14. C2×#2838C2semidirect
15. C2×#2836C2semidirect
16. C2×#2827C2semidirect
17. C2×#2814C2semidirect
18. C2×#2442C2semidirect
19. C2×#2417C2semidirect
20. C2×#2440C2semidirect
21. C2×#2481C2semidirect
22. C2×#2480C2semidirect
23. C2×#2473C2semidirect
26. C2×#2449C2semidirect
28. C2×#2437C2semidirect
29. C2×#2437C2semidirect
30. C2×#2659C2semidirect
31. C2×#2643C2semidirect
32. C22×#396C2semidirect
33. C22×C4⋊Q8C22semidirect
35. C22×#126C22semidirect
36. C22×#125C22semidirect
37. C22×#125C22semidirect
46. C22×C22⋊Q8C22semidirect
47. C22×C22⋊Q8C22semidirect
57. #2841C22semidirect
58. #2838C22semidirect
59. #2836C22semidirect
60. #2831C22semidirect
61. #2827C22semidirect
62. #2823C22semidirect
63. #2820C22semidirect
64. #2814C22semidirect
65. #2765C22semidirect
66. #2729C22semidirect
67. #2725C22semidirect
68. #2720C22semidirect
69. #2707C22semidirect
70. #2695C22semidirect
71. #2683C22semidirect
72. #2674C22semidirect
73. #2659C22semidirect
74. #2643C22semidirect
75. #2481C22semidirect
76. #2480C22semidirect
77. #2473C22semidirect
79. #2449C22semidirect
80. #2442C22semidirect
81. #2440C22semidirect
82. #2437C22semidirect
83. #2437C22semidirect
85. #2417C22semidirect
87. C2×#401C22semidirect
88. C2×#400C22semidirect
89. C2×#400C22semidirect
90. C2×#400C22semidirect
91. C2×#400C22semidirect
92. C2×#400C22semidirect
93. C2×#400C22semidirect
94. C2×#400C22semidirect
95. C2×#400C22semidirect
99. C2×#399C22semidirect
100. C2×#398C22semidirect
101. C2×#398C22semidirect
102. C2×#398C22semidirect
103. C2×#398C22semidirect
104. C2×#398C22semidirect
105. C2×#398C22semidirect
106. C2×#398C22semidirect
107. C2×#398C22semidirect
108. C2×#398C22semidirect
109. C2×#398C22semidirect
110. C2×#398C22semidirect
111. C2×#398C22semidirect
112. C2×#398C22semidirect
113. C2×#398C22semidirect
121. C2×#397C22semidirect
122. C2×#397C22semidirect
123. C2×#397C22semidirect
124. C2×#397C22semidirect
138. C2×#396C22semidirect
139. C2×#396C22semidirect
140. C2×#396C22semidirect
141. C2×#396C22semidirect
142. C2×#396C22semidirect
143. C2×#396C22semidirect
144. C2×#395C22semidirect
145. C2×#395C22semidirect
146. C2×#395C22semidirect
147. C2×#395C22semidirect
148. C2×#395C22semidirect
149. C2×#395C22semidirect
150. C2×#395C22semidirect
160. C2×#391C22semidirect
162. C2×#389C22semidirect
163. C2×#389C22semidirect
164. C2×#389C22semidirect
165. C2×#389C22semidirect
166. C2×#389C22semidirect
167. C2×#389C22semidirect
168. C2×#389C22semidirect
176. C2×#388C22semidirect
177. C2×#387C22semidirect
178. C2×#387C22semidirect
179. C2×#387C22semidirect
180. C2×#387C22semidirect
181. C2×#387C22semidirect
201. C2×#385C22semidirect
202. C2×#384C22semidirect
203. C2×#382C22semidirect
213. C2×#380C22semidirect
236. C2×C4⋊Q8C23semidirect
240. C2×#126C23semidirect
243. C2×#125C23semidirect
244. C2×#125C23semidirect
263. C2×C22⋊Q8C23semidirect
264. C2×C22⋊Q8C23semidirect
378. #401C23semidirect
379. #400C23semidirect
380. #400C23semidirect
381. #400C23semidirect
382. #400C23semidirect
383. #400C23semidirect
384. #400C23semidirect
385. #400C23semidirect
386. #400C23semidirect
390. #399C23semidirect
391. #398C23semidirect
392. #398C23semidirect
393. #398C23semidirect
394. #398C23semidirect
395. #398C23semidirect
396. #398C23semidirect
397. #398C23semidirect
398. #398C23semidirect
399. #398C23semidirect
400. #398C23semidirect
401. #398C23semidirect
402. #398C23semidirect
403. #398C23semidirect
404. #398C23semidirect
412. #397C23semidirect
413. #397C23semidirect
414. #397C23semidirect
415. #397C23semidirect
429. #396C23semidirect
430. #396C23semidirect
431. #396C23semidirect
432. #396C23semidirect
433. #396C23semidirect
434. #395C23semidirect
435. #395C23semidirect
436. #395C23semidirect
437. #395C23semidirect
438. #395C23semidirect
439. #395C23semidirect
440. #395C23semidirect
450. #391C23semidirect
452. #389C23semidirect
453. #389C23semidirect
454. #389C23semidirect
455. #389C23semidirect
456. #389C23semidirect
457. #389C23semidirect
458. #389C23semidirect
466. #388C23semidirect
467. #387C23semidirect
468. #387C23semidirect
469. #387C23semidirect
470. #387C23semidirect
471. #387C23semidirect
491. #385C23semidirect
492. #384C23semidirect
493. #382C23semidirect
503. #380C23semidirect
1493. C2#52473direct (N × H)

Maximal subgroups

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

subgroupindex
#524732
C2×#27652
C2×#27292
C2×#27252
C2×#27202
C2×#27072
C2×#26952
C2×#26832
C2×#26742
C2×#28232
C2×#28202
C2×#28412
C2×#28312
C2×#28382
C2×#28362
C2×#28272
C2×#28142
C2×#24422
C2×#24172
C2×#24402
C2×#24812
C2×#24802
C2×#24732
C2×#24722
C2×#24122
C2×#24492
C2×#24182
C2×#24372
C2×#26592
C2×#26432
C22×#3962