Finite Group Databasebeta

← C2×#49945 #7705362

Subgroups — C2×#49945 #7705362

Order 512.

7154 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2737C211yesmaximal, characteristic, complemented
2C2×#2736C211yesmaximal, characteristic, complemented
3C2×#2723C211yesmaximal, characteristic, complemented
4C2×#2712C211yesmaximal, characteristic, complemented
5C2×#2711C211yesmaximal, characteristic, complemented
6C2×#2706C211yesmaximal, characteristic, complemented
7C2×#2692C211yesmaximal, characteristic, complemented
8C2×#2692C211yesmaximal, characteristic, complemented
9C2×#2686C211yesmaximal, characteristic, complemented
10C2×#2685C211yesmaximal, characteristic, complemented
11C2×#2684C211yesmaximal, characteristic, complemented
12C2×#2681C211yesmaximal, characteristic, complemented
13#49945C2132yesmaximal, direct product factor
14C2×#2601C211yesmaximal, characteristic, complemented
15C2×#2574C211yesmaximal, characteristic, complemented
16C2×#2556C211yesmaximal, characteristic, complemented
17C2×#2482C211yesmaximal, characteristic, complemented
18C2×#2485C211yesmaximal, characteristic, complemented
19C2×#2518C211yesmaximal, characteristic, complemented
20C2×#2411C211yesmaximal, characteristic, complemented
21C2×#2474C211yesmaximal, characteristic, complemented
22C2×#2435C211yesmaximal, characteristic, complemented
23C2×#2461C211yesmaximal, characteristic, complemented
24C2×#2463C211yesmaximal, characteristic, complemented
25C2×#2418C211yesmaximal, characteristic, complemented
26C2×#2437C211yesmaximal, characteristic, complemented
27C2×#2410C211yesmaximal, characteristic
28C2×#2633C211yesmaximal, characteristic, complemented
29C2×#2626C211yesmaximal, characteristic, complemented
30C2×#2379C211yesmaximal, characteristic, complemented
31C2×D4×C22⋊C4C211yesmaximal, characteristic, complemented
32C2×#2324C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C22×#126C2211yescharacteristic, complemented
35C22×#125C2211yescharacteristic, complemented
36C22×#124C2211yescharacteristic
37C22×#124C2211yescharacteristic
38C22×#124C2211yescharacteristic, complemented
39C22×#123C2211yescharacteristic, complemented
40C22×#123C2211yescharacteristic, complemented
41C22×C22⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic, complemented
43C22×C22⋊Q8C2211yescharacteristic, complemented
44C22×C22⋊Q8C2211yescharacteristic, complemented
45C22×C22⋊Q8C2211yescharacteristic, complemented
46C22×#121C2211yescharacteristic
47C22×#121C2211yescharacteristic
48C22×#120C2211yescharacteristic
49C22×#120C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51C22×C4×D4C2211yescharacteristic
52C22×C4×D4C2211yescharacteristic, complemented
53C22×#117C2211yescharacteristic, complemented
54C22×#117C2211yescharacteristic, complemented
55C23×C22⋊C4C2211yescharacteristic
56C23×C22⋊C4C2211yescharacteristic
57C23×C22⋊C4C2211yescharacteristic
58#2737C22116yescomplemented
59#2736C22116yescomplemented
60#2723C22116yescomplemented
61#2712C22116yescomplemented
62#2711C22116yescomplemented
63#2706C22116yescomplemented
64#2692C22116yescomplemented
65#2692C22116yescomplemented
66#2686C22116yescomplemented
67#2685C22116yescomplemented
68#2684C22116yescomplemented
69#2681C22116yescomplemented
70#2633C22116yescomplemented
71#2626C22116yescomplemented
72#2601C22116yescomplemented
73#2574C22116yescomplemented
74#2556C22116yescomplemented
75#2518C22116yescomplemented
76#2485C22116yescomplemented
77#2482C22116yescomplemented
78#2474C22116yescomplemented
79#2463C22116yescomplemented
80#2461C22116yescomplemented
81#2437C22116yescomplemented
82#2435C22116yescomplemented
83#2418C22116yescomplemented
84#2411C22116yescomplemented
85#2410C22116yes—
86C2×#399C2211yescharacteristic
87C2×#399C2211yescharacteristic
88C2×#399C2211yescharacteristic, complemented
89C2×#399C2211yescharacteristic, complemented
90C2×#399C2211yescharacteristic, complemented
91C2×#398C2211yescharacteristic, complemented
92C2×#398C2211yescharacteristic, complemented
93C2×#398C2211yescharacteristic, complemented
94C2×#397C2211yescharacteristic
95C2×#397C2211yescharacteristic, complemented
96C2×#397C2211yescharacteristic, complemented
97C2×#397C2211yescharacteristic, complemented
98C2×#397C2211yescharacteristic, complemented
99C2×#397C2211yescharacteristic, complemented
100C2×#397C2211yescharacteristic, complemented
101C2×#396C2211yescharacteristic
102C2×#396C2211yescharacteristic
103C2×#396C2211yescharacteristic
104C2×#396C2211yescharacteristic, complemented
105C2×#396C2211yescharacteristic, complemented
106C2×#396C2211yescharacteristic, complemented
107C2×#396C2211yescharacteristic, complemented
108C2×#395C2211yescharacteristic, complemented
109C2×#395C2211yescharacteristic, complemented
110C2×#395C2211yescharacteristic, complemented
111C2×#394C2211yescharacteristic
112C2×#394C2211yescharacteristic
113C2×#394C2211yescharacteristic
114C2×#394C2211yescharacteristic
115C2×#394C2211yescharacteristic
116C2×#394C2211yescharacteristic
117C2×#394C2211yescharacteristic
118C2×#394C2211yescharacteristic
119C2×#394C2211yescharacteristic, complemented
120C2×#394C2211yescharacteristic, complemented
121C2×#394C2211yescharacteristic, complemented
122C2×#394C2211yescharacteristic, complemented
123C2×#394C2211yescharacteristic, complemented
124C2×#394C2211yescharacteristic, complemented
125C2×#393C2211yescharacteristic
126C2×#393C2211yescharacteristic
127C2×#393C2211yescharacteristic, complemented
128C2×#393C2211yescharacteristic, complemented
129C2×#393C2211yescharacteristic, complemented
130C2×#393C2211yescharacteristic, complemented
131C2×#393C2211yescharacteristic, complemented
132C2×#392C2211yescharacteristic
133C2×#392C2211yescharacteristic
134#2379C22116yescomplemented
135D4×C22⋊C4C22116yescomplemented
136#2324C22116yescomplemented
137C2×#391C2211yescharacteristic, complemented
138C2×#391C2211yescharacteristic, complemented
139C2×#391C2211yescharacteristic, complemented
140C2×#390C2211yescharacteristic
141C2×#390C2211yescharacteristic
142C2×#390C2211yescharacteristic
143C2×#390C2211yescharacteristic
144C2×#390C2211yescharacteristic
145C2×#390C2211yescharacteristic, complemented
146C2×#390C2211yescharacteristic, complemented
147C2×#389C2211yescharacteristic, complemented
148C2×#389C2211yescharacteristic, complemented
149C2×#389C2211yescharacteristic, complemented
150C2×#388C2211yescharacteristic
151C2×#388C2211yescharacteristic
152C2×#388C2211yescharacteristic
153C2×#388C2211yescharacteristic
154C2×#388C2211yescharacteristic, complemented
155C2×#388C2211yescharacteristic, complemented
156C2×#388C2211yescharacteristic, complemented
157C2×#388C2211yescharacteristic, complemented
158C2×#388C2211yescharacteristic, complemented
159C2×#388C2211yescharacteristic, complemented
160C2×#388C2211yescharacteristic, complemented
161C2×#388C2211yescharacteristic, complemented
162C2×#388C2211yescharacteristic, complemented
163C2×#388C2211yescharacteristic, complemented
164C2×#388C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic, complemented
166C2×#388C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic, complemented
168C2×#388C2211yescharacteristic, complemented
169C2×#387C2211yescharacteristic, complemented
170C2×#387C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#387C2211yescharacteristic, complemented
173C2×#387C2211yescharacteristic, complemented
174C2×#387C2211yescharacteristic, complemented
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic, complemented
184C2×#386C2211yescharacteristic, complemented
185C2×#386C2211yescharacteristic, complemented
186C2×#386C2211yescharacteristic, complemented
187C2×#385C2211yescharacteristic
188C2×#385C2211yescharacteristic, complemented
189C2×#385C2211yescharacteristic, complemented
190C2×#385C2211yescharacteristic, complemented
191C2×#385C2211yescharacteristic, complemented
192C2×#385C2211yescharacteristic, complemented
193C2×#385C2211yescharacteristic, complemented
194C2×#385C2211yescharacteristic, complemented
195C2×#385C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic, complemented
197C2×#385C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic, complemented
199C2×#383C2211yescharacteristic, complemented
200C2×#382C2211yescharacteristic, complemented
201C2×#382C2211yescharacteristic, complemented
202C2×#381C2211yescharacteristic, complemented
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic, complemented
205C2×#380C2211yescharacteristic, complemented
206C2×#380C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic, complemented
208C2×#379C2211yescharacteristic
209C2×#379C2211yescharacteristic
210C2×#379C2211yescharacteristic
211C2×#379C2211yescharacteristic
212C2×#379C2211yescharacteristic
213C2×#379C2211yescharacteristic
214C2×#379C2211yescharacteristic
215C2×C4×C4⋊C4C2211yescharacteristic, complemented
216C2×C4×C4⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×C4×C22⋊C4C2211yescharacteristic
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×D4—28no—
225C23×D4—44no—
226C23×D4—44no—
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2318yes—
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C2×#126—44no—
246C2×#126C2318yescomplemented
247C2×#125—44no—
248C2×#125C2318yescomplemented
249C2×#124—28no—
250C2×#124—44no—
251C2×#124—44no—
252C2×#124C2318yes—
253C2×#124C2318yes—
254C2×#124C2318yescomplemented
255C2×#123—44no—
256C2×#123—44no—
257C2×#123C2318yescomplemented
258C2×#123C2318yescomplemented
259C2×C22⋊Q8—44no—
260C2×C22⋊Q8—44no—
261C2×C22⋊Q8—44no—
262C2×C22⋊Q8—44no—
263C2×C22⋊Q8—44no—
264C2×C22⋊Q8C2318yes—
265C2×C22⋊Q8C2318yescomplemented
266C2×C22⋊Q8C2318yescomplemented
267C2×C22⋊Q8C2318yescomplemented
268C2×C22⋊Q8C2318yescomplemented
269C2×#121—28no—
270C2×#121—44no—
271C2×#121C2318yes—
272C2×#121C2318yes—
273C2×#120—44no—
274C2×#120—44no—
275C2×#120C2318yes—
276C2×#120C2318yes—
277C2×C4×D4—44no—
278C2×C4×D4—44no—
279C2×C4×D4—44no—
280C2×C4×D4C2318yes—
281C2×C4×D4C2318yes—
282C2×C4×D4C2318yescomplemented
283C2×#117—44no—
284C2×#117—44no—
285C2×#117C2318yescomplemented
286C2×#117C2318yescomplemented
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⋊C4C2311yescharacteristic
317C22×C22⋊C4—44no—
318C22×C22⋊C4—44no—
319C22×C22⋊C4—44no—
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⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2318yes—
341C22×C22⋊C4C2318yes—
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⋊C4C2311yescharacteristic
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2311yescharacteristic
377C22×C22⋊C4C2318yes—
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390#399C2318yes—
391#399C2318yes—
392#399C2318yescomplemented
393#399C2318yescomplemented
394#399C2318yescomplemented
395#398C2318yescomplemented
396#398C2318yescomplemented
397#398C2318yescomplemented
398#397C2318yes—
399#397C2318yescomplemented
400#397C2318yescomplemented
401#397C2318yescomplemented
402#397C2318yescomplemented
403#397C2318yescomplemented
404#397C2318yescomplemented
405#396C2318yes—
406#396C2318yes—
407#396C2318yes—
408#396C2318yescomplemented
409#396C2318yescomplemented
410#396C2318yescomplemented
411#396C2318yescomplemented
412#395C2318yescomplemented
413#395C2318yescomplemented
414#395C2318yescomplemented
415#394C2318yes—
416#394C2318yes—
417#394C2318yes—
418#394C2318yes—
419#394C2318yes—
420#394C2318yes—
421#394C2318yes—
422#394C2318yes—
423#394C2318yescomplemented
424#394C2318yescomplemented
425#394C2318yescomplemented
426#394C2318yescomplemented
427#394C2318yescomplemented
428#394C2318yescomplemented
429#393C2318yes—
430#393C2318yes—
431#393C2318yescomplemented
432#393C2318yescomplemented
433#393C2318yescomplemented
434#393C2318yescomplemented
435#393C2318yescomplemented
436#392C2318yes—
437#392C2318yes—
438#391C2318yescomplemented
439#391C2318yescomplemented
440#391C2318yescomplemented
441#390C2318yes—
442#390C2318yes—
443#390C2318yes—
444#390C2318yes—
445#390C2318yes—
446#390C2318yescomplemented
447#390C2318yescomplemented
448#389C2318yescomplemented
449#389C2318yescomplemented
450#389C2318yescomplemented
451#388C2318yes—
452#388C2318yes—
453#388C2318yes—
454#388C2318yes—
455#388C2318yescomplemented
456#388C2318yescomplemented
457#388C2318yescomplemented
458#388C2318yescomplemented
459#388C2318yescomplemented
460#388C2318yescomplemented
461#388C2318yescomplemented
462#388C2318yescomplemented
463#388C2318yescomplemented
464#388C2318yescomplemented
465#388C2318yescomplemented
466#388C2318yescomplemented
467#388C2318yescomplemented
468#388C2318yescomplemented
469#388C2318yescomplemented
470#387C2318yescomplemented
471#387C2318yescomplemented
472#387C2318yescomplemented
473#387C2318yescomplemented
474#387C2318yescomplemented
475#387C2318yescomplemented
476#386C2318yes—
477#386C2318yes—
478#386C2318yes—
479#386C2318yes—
480#386C2318yes—
481#386C2318yes—
482#386C2318yes—
483#386C2318yes—
484#386C2318yescomplemented
485#386C2318yescomplemented
486#386C2318yescomplemented
487#386C2318yescomplemented
488#385C2318yes—
489#385C2318yescomplemented
490#385C2318yescomplemented
491#385C2318yescomplemented
492#385C2318yescomplemented
493#385C2318yescomplemented
494#385C2318yescomplemented
495#385C2318yescomplemented
496#385C2318yescomplemented
497#385C2318yescomplemented
498#385C2318yescomplemented
499#385C2318yescomplemented
500#383C2318yescomplemented
501#382C2318yescomplemented
502#382C2318yescomplemented
503#381C2318yescomplemented
504#380C2318yes—
505#380C2318yescomplemented
506#380C2318yescomplemented
507#380C2318yescomplemented
508#380C2318yescomplemented
509#379C2318yes—
510#379C2318yes—
511#379C2318yes—
512#379C2318yes—
513#379C2318yes—
514#379C2318yes—
515#379C2318yes—
516C4×C4⋊C4C2318yescomplemented
517C4×C4⋊C4C2318yescomplemented
518C4×C22⋊C4C2318yes—
519C4×C22⋊C4C2318yes—
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C25—24no—
557C25—24no—
558C25—24no—
559C25—24no—
560C25—24no—
561C25—42no—
562C25—42no—
563C25—42no—
564C25—42no—
565C25—42no—
566C25—42no—
567C25—42no—
568C25—42no—
569C25—42no—
570C25C2411yescharacteristic
571C25C2411yescharacteristic
572C25C2411yescharacteristic
573C25C2411yescharacteristic
574C25C2411yescharacteristic
575C25C2411yescharacteristic
576C25C2414yes—
577C25C2414yes—
578C22×Q8—24no—
579C22×Q8—42no—
580C22×Q8—42no—
581C22×Q8—42no—
582C22×Q8—42no—
583C22×Q8—42no—
584C22×Q8—42no—
585C22×Q8—42no—
586C22×Q8—42no—
587C22×Q8C2414yes—
588C22×Q8C2414yes—
589C22×Q8C2414yes—
590C22×D4—24no—
591C22×D4—24no—
592C22×D4—24no—
593C22×D4—24no—
594C22×D4—24no—
595C22×D4—24no—
596C22×D4—24no—
597C22×D4—24no—
598C22×D4—232no—
599C22×D4—24no—
600C22×D4—24no—
601C22×D4—24no—
602C22×D4—24no—
603C22×D4—416no—
604C22×D4—42no—
605C22×D4—42no—
606C22×D4—42no—
607C22×D4—42no—
608C22×D4—42no—
609C22×D4—42no—
610C22×D4—42no—
611C22×D4—42no—
612C22×D4—42no—
613C22×D4—42no—
614C22×D4—42no—
615C22×D4—42no—
616C22×D4—42no—
617C22×D4—42no—
618C22×D4—416no—
619C22×D4—464no—
620C22×D4#4118yes—
621C22×D4C2414yes—
622C22×D4C2414yes—
623C22×D4C2414yes—
624C22×D4C2414yes—
625C22×D4C2414yes—
626C22×D4C2414yes—
627C22×D4C2414yes—
628C22×D4C2414yes—
629C22×D4C2414yes—
630C23×C4—24no—
631C23×C4—24no—
632C23×C4—24no—
633C23×C4—24no—
634C23×C4—24no—
635C23×C4—24no—
636C23×C4—24no—
637C23×C4—42no—
638C23×C4—42no—
639C23×C4—42no—
640C23×C4—42no—
641C23×C4—42no—
642C23×C4—42no—
643C23×C4—42no—
644C23×C4—42no—
645C23×C4—42no—
646C23×C4—42no—
647C23×C4—42no—
648C23×C4—42no—
649C23×C4—42no—
650C23×C4—42no—
651C23×C4—42no—
652C23×C4—42no—
653C23×C4—42no—
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2414yes—
676C23×C4C2414yes—
677C23×C4C2414yes—
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2414yes—
683C23×C4C2414yes—
684C23×C4C2414yes—
685C23×C4C2414yes—
686C23×C4C2414yes—
687#126—416no—
688#125—416no—
689#124—232no—
690#124—416no—
691#124—416no—
692#123—416no—
693#123—416no—
694C22⋊Q8—416no—
695C22⋊Q8—416no—
696C22⋊Q8—416no—
697C22⋊Q8—416no—
698C22⋊Q8—416no—
699#121—232no—
700#121—416no—
701#120—416no—
702#120—416no—
703C4×D4—416no—
704C4×D4—416no—
705C4×D4—416no—
706#117—416no—
707#117—416no—
708C2×C4⋊C4—24no—
709C2×C4⋊C4—24no—
710C2×C4⋊C4—24no—
711C2×C4⋊C4—24no—
712C2×C4⋊C4—24no—
713C2×C4⋊C4—24no—
714C2×C4⋊C4—24no—
715C2×C4⋊C4—24no—
716C2×C4⋊C4—24no—
717C2×C4⋊C4—24no—
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⋊C4—42no—
731C2×C4⋊C4—42no—
732C2×C4⋊C4—42no—
733C2×C4⋊C4—42no—
734C2×C4⋊C4—42no—
735C2×C4⋊C4—42no—
736C2×C4⋊C4—42no—
737C2×C4⋊C4—42no—
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—24no—
786C2×C22⋊C4—24no—
787C2×C22⋊C4—24no—
788C2×C22⋊C4—416no—
789C2×C22⋊C4—416no—
790C2×C22⋊C4—416no—
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⋊C4—42no—
815C2×C22⋊C4—42no—
816C2×C22⋊C4—42no—
817C2×C22⋊C4—42no—
818C2×C22⋊C4—42no—
819C2×C22⋊C4—42no—
820C2×C22⋊C4—42no—
821C2×C22⋊C4—42no—
822C2×C22⋊C4—42no—
823C2×C22⋊C4—42no—
824C2×C22⋊C4—42no—
825C2×C22⋊C4—42no—
826C2×C22⋊C4—42no—
827C2×C22⋊C4—42no—
828C2×C22⋊C4—42no—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C42—24no—
888C2×C42—24no—
889C2×C42—24no—
890C2×C42—24no—
891C2×C42—42no—
892C2×C42—42no—
893C2×C42—42no—
894C2×C42—42no—
895C2×C42—42no—
896C2×C42C2414yes—
897C2×C42C2414yes—
898C2×C42C2414yes—
899C2×C42C2414yes—
900C2×C42C2414yes—
901C2×C42C2414yes—
902C2×C42C2414yes—
903C2×C42C2414yes—
904C2×C42C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—22no—
946C24—22no—
947C24—22no—
948C24—22no—
949C24—22no—
950C24—22no—
951C24—22no—
952C24—22no—
953C24—22no—
954C24—22no—
955C24—22no—
956C24—22no—
957C24—22no—
958C24—22no—
959C24—22no—
960C24—22no—
961C24—22no—
962C24—22no—
963C24—22no—
964C24—22no—
965C24—22no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—22no—
971C24—22no—
972C24—22no—
973C24—22no—
974C24—22no—
975C24—22no—
976C24—22no—
977C24—22no—
978C24—22no—
979C24—28no—
980C24—28no—
981C24—28no—
982C24—28no—
983C24—28no—
984C24—44no—
985C24—44no—
986C24—44no—
987C24—44no—
988C24—44no—
989C24—44no—
990C24—44no—
991C24—44no—
992C24—44no—
993C24—416no—
994C24—416no—
995C24—416no—
996C24—416no—
997C24—416no—
998C24—88no—
999C24—88no—
1000C24—88no—
1001C24—88no—
1002C24—88no—
1003C24—88no—
1004C24—88no—
1005C24—88no—
1006C24—88no—
1007C24C2×#4114yes—
1008C24C2×#4114yes—
1009C24H(5,𝔽2)14yes—
1010C242−1+414yes—
1011C24C2512yes—
1012C24C2512yes—
1013C24C2512yes—
1014C24C2512yes—
1015C24C2512yes—
1016C24C2512yes—
1017C24C2511yescharacteristic
1018C2×Q8—28no—
1019C2×Q8—44no—
1020C2×Q8—44no—
1021C2×Q8—44no—
1022C2×Q8—44no—
1023C2×Q8—44no—
1024C2×Q8—44no—
1025C2×Q8—44no—
1026C2×Q8—44no—
1027C2×Q8—88no—
1028C2×Q8—88no—
1029C2×Q8—88no—
1030C2×D4—232no—
1031C2×D4—28no—
1032C2×D4—28no—
1033C2×D4—28no—
1034C2×D4—28no—
1035C2×D4—28no—
1036C2×D4—28no—
1037C2×D4—28no—
1038C2×D4—28no—
1039C2×D4—28no—
1040C2×D4—28no—
1041C2×D4—28no—
1042C2×D4—28no—
1043C2×D4—416no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—416no—
1050C2×D4—416no—
1051C2×D4—416no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—4128no—
1062C2×D4—88no—
1063C2×D4—88no—
1064C2×D4—88no—
1065C2×D4—88no—
1066C2×D4C2×#41116yes—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—28no—
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—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—28no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—28no—
1141C22×C4—28no—
1142C22×C4—28no—
1143C22×C4—28no—
1144C22×C4—28no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—416no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—416no—
1164C22×C4—416no—
1165C22×C4—88no—
1166C22×C4—88no—
1167C22×C4—88no—
1168C22×C4—88no—
1169C22×C4—88no—
1170C22×C4C2×#4114yes—
1171C22×C4H(5,𝔽2)14yes—
1172C22×C4H(5,𝔽2)14yes—
1173C22×C4H(5,𝔽2)14yes—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C4⋊C4—28no—
1200C4⋊C4—28no—
1201C4⋊C4—28no—
1202C4⋊C4—28no—
1203C4⋊C4—28no—
1204C4⋊C4—28no—
1205C4⋊C4—28no—
1206C4⋊C4—28no—
1207C4⋊C4—28no—
1208C4⋊C4—28no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C22⋊C4—28no—
1230C22⋊C4—28no—
1231C22⋊C4—28no—
1232C22⋊C4—28no—
1233C22⋊C4—28no—
1234C22⋊C4—28no—
1235C22⋊C4—28no—
1236C22⋊C4—28no—
1237C22⋊C4—28no—
1238C22⋊C4—28no—
1239C22⋊C4—28no—
1240C22⋊C4—28no—
1241C22⋊C4—28no—
1242C22⋊C4—28no—
1243C22⋊C4—28no—
1244C22⋊C4—28no—
1245C22⋊C4—28no—
1246C22⋊C4—28no—
1247C22⋊C4—28no—
1248C22⋊C4—28no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C42—28no—
1288C42—28no—
1289C42—28no—
1290C42—28no—
1291C42—44no—
1292C42—44no—
1293C42—44no—
1294C42—44no—
1295C42—44no—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—28no—
1321C23—28no—
1322C23—28no—
1323C23—28no—
1324C23—28no—
1325C23—28no—
1326C23—28no—
1327C23—28no—
1328C23—28no—
1329C23—28no—
1330C23—28no—
1331C23—28no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—416no—
1347C23—416no—
1348C23—416no—
1349C23—416no—
1350C23—416no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23—44no—
1357C23—44no—
1358C23—44no—
1359C23—44no—
1360C23—44no—
1361C23—44no—
1362C23—44no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—44no—
1369C23—44no—
1370C23—44no—
1371C23—44no—
1372C23—44no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—88no—
1382C23—88no—
1383C23—88no—
1384C23—88no—
1385C23—88no—
1386C23—88no—
1387C23—88no—
1388C23—864no—
1389C23—88no—
1390C23—88no—
1391C23—864no—
1392C23C22×#4114yes—
1393C23C22×#4114yes—
1394C23C22×#4112yes—
1395C23C2×H(5,𝔽2)14yes—
1396C23C2×H(5,𝔽2)12yes—
1397C23C2×H(5,𝔽2)12yes—
1398C23C2×H(5,𝔽2)12yes—
1399C23C2×H(5,𝔽2)12yes—
1400C23C2×2−1+414yes—
1401C23C2×2−1+412yes—
1402C23#58512yes—
1403C23C2611yescharacteristic
1404Q8—88no—
1405Q8—88no—
1406Q8—88no—
1407D4—232no—
1408D4—416no—
1409D4—416no—
1410D4—416no—
1411D4—416no—
1412D4—88no—
1413D4—88no—
1414D4—88no—
1415D4—88no—
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—28no—
1425C2×C4—28no—
1426C2×C4—28no—
1427C2×C4—28no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—416no—
1492C2×C4—416no—
1493C2×C4—416no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—88no—
1516C2×C4—88no—
1517C2×C4—88no—
1518C2×C4—88no—
1519C2×C4—88no—
1520C2×C4C22×#4114yes—
1521C2×C4C2×H(5,𝔽2)14yes—
1522C2×C4C2×H(5,𝔽2)14yes—
1523C2×C4C2×H(5,𝔽2)14yes—
1524C22—24no—
1525C22—24no—
1526C22—24no—
1527C22—24no—
1528C22—24no—
1529C22—24no—
1530C22—24no—
1531C22—24no—
1532C22—24no—
1533C22—24no—
1534C22—24no—
1535C22—24no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—416no—
1545C22—416no—
1546C22—416no—
1547C22—416no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—832no—
1571C22—832no—
1572C22—88no—
1573C22—88no—
1574C22#349014yes—
1575C22#351314yes—
1576C22#352014yes—
1577C22#353414yes—
1578C22#353614yes—
1579C22#354914yes—
1580C22#356114yes—
1581C22C23×#4111yescharacteristic
1582C22C22×H(5,𝔽2)11yescharacteristic
1583C22C22×H(5,𝔽2)11yescharacteristic
1584C22C22×H(5,𝔽2)11yescharacteristic
1585C22C22×H(5,𝔽2)11yescharacteristic
1586C22C22×2−1+411yescharacteristic
1587C22C2×#58511yescharacteristic
1588C4—24no—
1589C4—24no—
1590C4—24no—
1591C4—24no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C2—44no—
1614C2—44no—
1615C2—44no—
1616C2—44no—
1617C2—82no—
1618C2—82no—
1619C2#4994518yesdirect product factor
1620C2C2×#353411yescharacteristic
1621C2C2×#353611yescharacteristic
1622C2C2×#356111yescharacteristic
1623C2C2×#354911yescharacteristic
1624C2C2×#349011yescharacteristic
1625C2C2×#351311yescharacteristic
1626C2C2×#352011yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2737C2semidirect
2. C2×#2736C2semidirect
3. C2×#2723C2semidirect
4. C2×#2712C2semidirect
5. C2×#2711C2semidirect
6. C2×#2706C2semidirect
7. C2×#2692C2semidirect
8. C2×#2692C2semidirect
9. C2×#2686C2semidirect
10. C2×#2685C2semidirect
11. C2×#2684C2semidirect
12. C2×#2681C2semidirect
13. #49945C2direct (N × H)
14. C2×#2601C2semidirect
15. C2×#2574C2semidirect
16. C2×#2556C2semidirect
17. C2×#2482C2semidirect
18. C2×#2485C2semidirect
19. C2×#2518C2semidirect
20. C2×#2411C2semidirect
21. C2×#2474C2semidirect
22. C2×#2435C2semidirect
23. C2×#2461C2semidirect
24. C2×#2463C2semidirect
25. C2×#2418C2semidirect
26. C2×#2437C2semidirect
28. C2×#2633C2semidirect
29. C2×#2626C2semidirect
30. C2×#2379C2semidirect
31. C2×D4×C22⋊C4C2semidirect
32. C2×#2324C2semidirect
34. C22×#126C22semidirect
35. C22×#125C22semidirect
38. C22×#124C22semidirect
39. C22×#123C22semidirect
40. C22×#123C22semidirect
42. C22×C22⋊Q8C22semidirect
43. C22×C22⋊Q8C22semidirect
44. C22×C22⋊Q8C22semidirect
45. C22×C22⋊Q8C22semidirect
52. C22×C4×D4C22semidirect
53. C22×#117C22semidirect
54. C22×#117C22semidirect
58. #2737C22semidirect
59. #2736C22semidirect
60. #2723C22semidirect
61. #2712C22semidirect
62. #2711C22semidirect
63. #2706C22semidirect
64. #2692C22semidirect
65. #2692C22semidirect
66. #2686C22semidirect
67. #2685C22semidirect
68. #2684C22semidirect
69. #2681C22semidirect
70. #2633C22semidirect
71. #2626C22semidirect
72. #2601C22semidirect
73. #2574C22semidirect
74. #2556C22semidirect
75. #2518C22semidirect
76. #2485C22semidirect
77. #2482C22semidirect
78. #2474C22semidirect
79. #2463C22semidirect
80. #2461C22semidirect
81. #2437C22semidirect
82. #2435C22semidirect
83. #2418C22semidirect
84. #2411C22semidirect
88. C2×#399C22semidirect
89. C2×#399C22semidirect
90. C2×#399C22semidirect
91. C2×#398C22semidirect
92. C2×#398C22semidirect
93. C2×#398C22semidirect
95. C2×#397C22semidirect
96. C2×#397C22semidirect
97. C2×#397C22semidirect
98. C2×#397C22semidirect
99. C2×#397C22semidirect
100. C2×#397C22semidirect
104. C2×#396C22semidirect
105. C2×#396C22semidirect
106. C2×#396C22semidirect
107. C2×#396C22semidirect
108. C2×#395C22semidirect
109. C2×#395C22semidirect
110. C2×#395C22semidirect
119. C2×#394C22semidirect
120. C2×#394C22semidirect
121. C2×#394C22semidirect
122. C2×#394C22semidirect
123. C2×#394C22semidirect
124. C2×#394C22semidirect
127. C2×#393C22semidirect
128. C2×#393C22semidirect
129. C2×#393C22semidirect
130. C2×#393C22semidirect
131. C2×#393C22semidirect
134. #2379C22semidirect
135. D4×C22⋊C4C22semidirect
136. #2324C22semidirect
137. C2×#391C22semidirect
138. C2×#391C22semidirect
139. C2×#391C22semidirect
145. C2×#390C22semidirect
146. C2×#390C22semidirect
147. C2×#389C22semidirect
148. C2×#389C22semidirect
149. C2×#389C22semidirect
154. C2×#388C22semidirect
155. C2×#388C22semidirect
156. C2×#388C22semidirect
157. C2×#388C22semidirect
158. C2×#388C22semidirect
159. C2×#388C22semidirect
160. C2×#388C22semidirect
161. C2×#388C22semidirect
162. C2×#388C22semidirect
163. C2×#388C22semidirect
164. C2×#388C22semidirect
165. C2×#388C22semidirect
166. C2×#388C22semidirect
167. C2×#388C22semidirect
168. C2×#388C22semidirect
169. C2×#387C22semidirect
170. C2×#387C22semidirect
171. C2×#387C22semidirect
172. C2×#387C22semidirect
173. C2×#387C22semidirect
174. C2×#387C22semidirect
183. C2×#386C22semidirect
184. C2×#386C22semidirect
185. C2×#386C22semidirect
186. C2×#386C22semidirect
188. C2×#385C22semidirect
189. C2×#385C22semidirect
190. C2×#385C22semidirect
191. C2×#385C22semidirect
192. C2×#385C22semidirect
193. C2×#385C22semidirect
194. C2×#385C22semidirect
195. C2×#385C22semidirect
196. C2×#385C22semidirect
197. C2×#385C22semidirect
198. C2×#385C22semidirect
199. C2×#383C22semidirect
200. C2×#382C22semidirect
201. C2×#382C22semidirect
202. C2×#381C22semidirect
204. C2×#380C22semidirect
205. C2×#380C22semidirect
206. C2×#380C22semidirect
207. C2×#380C22semidirect
215. C2×C4×C4⋊C4C22semidirect
216. C2×C4×C4⋊C4C22semidirect
246. C2×#126C23semidirect
248. C2×#125C23semidirect
254. C2×#124C23semidirect
257. C2×#123C23semidirect
258. C2×#123C23semidirect
265. C2×C22⋊Q8C23semidirect
266. C2×C22⋊Q8C23semidirect
267. C2×C22⋊Q8C23semidirect
268. C2×C22⋊Q8C23semidirect
282. C2×C4×D4C23semidirect
285. C2×#117C23semidirect
286. C2×#117C23semidirect
392. #399C23semidirect
393. #399C23semidirect
394. #399C23semidirect
395. #398C23semidirect
396. #398C23semidirect
397. #398C23semidirect
399. #397C23semidirect
400. #397C23semidirect
401. #397C23semidirect
402. #397C23semidirect
403. #397C23semidirect
404. #397C23semidirect
408. #396C23semidirect
409. #396C23semidirect
410. #396C23semidirect
411. #396C23semidirect
412. #395C23semidirect
413. #395C23semidirect
414. #395C23semidirect
423. #394C23semidirect
424. #394C23semidirect
425. #394C23semidirect
426. #394C23semidirect
427. #394C23semidirect
428. #394C23semidirect
431. #393C23semidirect
432. #393C23semidirect
433. #393C23semidirect
434. #393C23semidirect
435. #393C23semidirect
438. #391C23semidirect
439. #391C23semidirect
440. #391C23semidirect
446. #390C23semidirect
447. #390C23semidirect
448. #389C23semidirect
449. #389C23semidirect
450. #389C23semidirect
455. #388C23semidirect
456. #388C23semidirect
457. #388C23semidirect
458. #388C23semidirect
459. #388C23semidirect
460. #388C23semidirect
461. #388C23semidirect
462. #388C23semidirect
463. #388C23semidirect
464. #388C23semidirect
465. #388C23semidirect
466. #388C23semidirect
467. #388C23semidirect
468. #388C23semidirect
469. #388C23semidirect
470. #387C23semidirect
471. #387C23semidirect
472. #387C23semidirect
473. #387C23semidirect
474. #387C23semidirect
475. #387C23semidirect
484. #386C23semidirect
485. #386C23semidirect
486. #386C23semidirect
487. #386C23semidirect
489. #385C23semidirect
490. #385C23semidirect
491. #385C23semidirect
492. #385C23semidirect
493. #385C23semidirect
494. #385C23semidirect
495. #385C23semidirect
496. #385C23semidirect
497. #385C23semidirect
498. #385C23semidirect
499. #385C23semidirect
500. #383C23semidirect
501. #382C23semidirect
502. #382C23semidirect
503. #381C23semidirect
505. #380C23semidirect
506. #380C23semidirect
507. #380C23semidirect
508. #380C23semidirect
516. C4×C4⋊C4C23semidirect
517. C4×C4⋊C4C23semidirect
1619. C2#49945direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27372
C2×#27362
C2×#27232
C2×#27122
C2×#27112
C2×#27062
C2×#26922
C2×#26862
C2×#26852
C2×#26842
C2×#26812
#499452
C2×#26012
C2×#25742
C2×#25562
C2×#24822
C2×#24852
C2×#25182
C2×#24112
C2×#24742
C2×#24352
C2×#24612
C2×#24632
C2×#24182
C2×#24372
C2×#24102
C2×#26332
C2×#26262
C2×#23792
C2×D4×C22⋊C42
C2×#23242