Finite Group Databasebeta

← C2×#13129040 #16770124

Subgroups — C2×#13129040 #16770124

Order 3328.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129040C2132yesmaximal, direct product factor
2C2×#11719404C211yesmaximal, characteristic, complemented
3C2×#11719440C211yesmaximal, characteristic, complemented
4C2×#11719352C211yesmaximal, characteristic, complemented
5C2×#11719352C211yesmaximal, characteristic, complemented
6C2×#11719216C211yesmaximal, characteristic, complemented
7C2×#11719286C211yesmaximal, characteristic, complemented
8C2×#11719398C211yesmaximal, characteristic, complemented
9C2×#11719261C211yesmaximal, characteristic, complemented
10C2×#11719261C211yesmaximal, characteristic, complemented
11C2×#11719342C211yesmaximal, characteristic, complemented
12C2×#11719342C211yesmaximal, characteristic, complemented
13C2×#11719336C211yesmaximal, characteristic, complemented
14C2×#11719212C211yesmaximal, characteristic, complemented
15C2×#11719255C211yesmaximal, characteristic, complemented
16C2×#11719335C211yesmaximal, characteristic, complemented
17C2×#11719328C211yesmaximal, characteristic, complemented
18C2×#11719339C211yesmaximal, characteristic, complemented
19C2×#11719287C211yesmaximal, characteristic, complemented
20C2×#11719345C211yesmaximal, characteristic, complemented
21C2×#11719397C211yesmaximal, characteristic, complemented
22C2×#11719397C211yesmaximal, characteristic, complemented
23C2×#11719220C211yesmaximal, characteristic, complemented
24C2×#11719343C211yesmaximal, characteristic, complemented
25C2×#11719269C211yesmaximal, characteristic, complemented
26C2×#11719265C211yesmaximal, characteristic, complemented
27C2×#11719429C211yesmaximal, characteristic, complemented
28C2×#11719333C211yesmaximal, characteristic, complemented
29C2×#11719252C211yesmaximal, characteristic, complemented
30C22×#88148C211yesmaximal, characteristic, complemented
31C2×D13×C22⋊Q8C211yesmaximal, characteristic, complemented
32C2×C13×#554C211yesmaximal, characteristic, complemented
33C22×#6131C2211yescharacteristic
34C22×Q8×D13C2211yescharacteristic, complemented
35C22×#6127C2211yescharacteristic
36C22×#6127C2211yescharacteristic, complemented
37C23×D52C2211yescharacteristic
38C23×C4×D13C2211yescharacteristic
39C13×#554C22116yescomplemented
40C2×C13×C4⋊Q8C2211yescharacteristic, complemented
41C2×C13×#125C2211yescharacteristic, complemented
42C2×C13×#125C2211yescharacteristic, complemented
43C2×C13×C22⋊Q8C2211yescharacteristic
44C2×C13×C22⋊Q8C2211yescharacteristic
45C2×C13×C22⋊Q8C2211yescharacteristic
46C2×C13×C22⋊Q8C2211yescharacteristic, complemented
47C2×C13×C22⋊Q8C2211yescharacteristic, complemented
48C2×C13×C22⋊Q8C2211yescharacteristic, complemented
49C2×C4×Q8×C13C2211yescharacteristic, complemented
50C2×C4×D4×C13C2211yescharacteristic
51C2×C4×D4×C13C2211yescharacteristic
52C2×C4×D4×C13C2211yescharacteristic
53C22×C13×C4⋊C4C2211yescharacteristic
54C22×C13×C4⋊C4C2211yescharacteristic, complemented
55C2×#88201C2211yescharacteristic
56C2×#88201C2211yescharacteristic, complemented
57C2×#88201C2211yescharacteristic, complemented
58C2×#88200C2211yescharacteristic, complemented
59C2×#88200C2211yescharacteristic, complemented
60C2×#88200C2211yescharacteristic, complemented
61C2×#88200C2211yescharacteristic, complemented
62C2×#88200C2211yescharacteristic, complemented
63C2×#88198C2211yescharacteristic, complemented
64C2×#88198C2211yescharacteristic, complemented
65C2×#88193C2211yescharacteristic
66C2×#88191C2211yescharacteristic
67C2×#88191C2211yescharacteristic
68C2×#88189C2211yescharacteristic
69C2×#88184C2211yescharacteristic
70C2×#88184C2211yescharacteristic, complemented
71C2×#88183C2211yescharacteristic, complemented
72C2×#88183C2211yescharacteristic, complemented
73C2×#88183C2211yescharacteristic, complemented
74C2×#88183C2211yescharacteristic, complemented
75C2×C4×C22⋊D13C2211yescharacteristic
76C2×C4×C22⋊D13C2211yescharacteristic
77C2×C4×C22⋊D13C2211yescharacteristic
78C2×C4×C22⋊D13C2211yescharacteristic, complemented
79C2×C4×C22⋊D13C2211yescharacteristic, complemented
80C2×C4×C22⋊D13C2211yescharacteristic, complemented
81C22×#6103C2211yescharacteristic
82C22×#6103C2211yescharacteristic
83C22×#6103C2211yescharacteristic
84C2×#88178C2211yescharacteristic
85C2×#88178C2211yescharacteristic
86C2×#88178C2211yescharacteristic
87C2×#88178C2211yescharacteristic, complemented
88C22×#6101C2211yescharacteristic
89#11719440C22116yescomplemented
90#11719429C22116yescomplemented
91#11719404C22116yescomplemented
92#11719398C22116yescomplemented
93#11719397C22116yescomplemented
94#11719397C22116yescomplemented
95#11719352C22116yescomplemented
96#11719352C22116yescomplemented
97#11719345C22116yescomplemented
98#11719343C22116yescomplemented
99#11719342C22116yescomplemented
100#11719342C22116yescomplemented
101#11719339C22116yescomplemented
102#11719336C22116yescomplemented
103#11719335C22116yescomplemented
104#11719333C22116yescomplemented
105D13×C22⋊Q8C22116yescomplemented
106#11719328C22116yescomplemented
107#11719287C22116yescomplemented
108#11719286C22116yescomplemented
109#11719269C22116yescomplemented
110#11719265C22116yescomplemented
111#11719261C22116yescomplemented
112#11719261C22116yescomplemented
113#11719255C22116yescomplemented
114#11719252C22116yescomplemented
115#11719220C22116yescomplemented
116C2×#88152C2211yescharacteristic, complemented
117C2×#88152C2211yescharacteristic, complemented
118C2×#88152C2211yescharacteristic, complemented
119C2×#88152C2211yescharacteristic, complemented
120C2×#88152C2211yescharacteristic, complemented
121C2×#88152C2211yescharacteristic, complemented
122C2×#88152C2211yescharacteristic, complemented
123#11719216C22116yescomplemented
124C2×#88151C2211yescharacteristic, complemented
125C2×#88151C2211yescharacteristic, complemented
126C2×#88151C2211yescharacteristic, complemented
127C2×#88151C2211yescharacteristic, complemented
128C2×#88150C2211yescharacteristic, complemented
129C2×#88150C2211yescharacteristic, complemented
130C2×#88150C2211yescharacteristic, complemented
131C2×#88150C2211yescharacteristic, complemented
132C2×#88150C2211yescharacteristic, complemented
133C2×#88150C2211yescharacteristic, complemented
134C2×#88150C2211yescharacteristic, complemented
135C2×#88150C2211yescharacteristic, complemented
136C2×#88150C2211yescharacteristic, complemented
137C2×#88150C2211yescharacteristic, complemented
138C2×#88150C2211yescharacteristic, complemented
139C2×#88150C2211yescharacteristic, complemented
140#11719212C22116yescomplemented
141C2×#88149C2211yescharacteristic
142C2×#88149C2211yescharacteristic
143C2×#88149C2211yescharacteristic
144C2×#88148C2211yescharacteristic
145C2×#88148C2211yescharacteristic
146C2×#88148C2211yescharacteristic
147C2×#88148C2211yescharacteristic
148C2×#88148C2211yescharacteristic
149C2×#88148C2211yescharacteristic
150C2×#88148C2211yescharacteristic
151C2×#88148C2211yescharacteristic
152C2×#88148C2211yescharacteristic
153C2×#88148C2211yescharacteristic
154C2×#88148C2211yescharacteristic
155C2×#88148C2211yescharacteristic
156C2×#88148C22116yescomplemented
157C2×#88148C2211yescharacteristic, complemented
158C2×#88148C2211yescharacteristic, complemented
159C2×#88148C2211yescharacteristic, complemented
160C2×#88148C2211yescharacteristic, complemented
161C2×#88148C2211yescharacteristic, complemented
162C2×#88148C2211yescharacteristic, complemented
163C2×#88147C2211yescharacteristic
164C2×#88147C2211yescharacteristic, complemented
165C2×#88147C2211yescharacteristic, complemented
166C2×#88146C2211yescharacteristic, complemented
167C2×#88146C2211yescharacteristic, complemented
168C2×C4⋊C4×D13C2211yescharacteristic, complemented
169C2×C4⋊C4×D13C2211yescharacteristic, complemented
170C2×C4⋊C4×D13C2211yescharacteristic, complemented
171C2×C4⋊C4×D13C2211yescharacteristic, complemented
172C2×#88143C2211yescharacteristic, complemented
173C2×#88143C2211yescharacteristic, complemented
174C2×#88143C2211yescharacteristic, complemented
175C2×#88143C2211yescharacteristic, complemented
176C2×#88143C2211yescharacteristic, complemented
177C2×#88143C2211yescharacteristic, complemented
178C2×#88143C2211yescharacteristic, complemented
179C2×#88142C2211yescharacteristic, complemented
180C2×#88142C2211yescharacteristic, complemented
181C2×#88142C2211yescharacteristic, complemented
182C2×#88141C2211yescharacteristic, complemented
183C2×#88140C2211yescharacteristic
184C2×#88139C2211yescharacteristic, complemented
185C2×#88139C2211yescharacteristic, complemented
186C2×#88139C2211yescharacteristic, complemented
187C2×#88138C2211yescharacteristic
188C2×#88138C2211yescharacteristic
189C2×#88138C2211yescharacteristic, complemented
190C2×#88138C2211yescharacteristic, complemented
191C2×#88137C2211yescharacteristic, complemented
192C2×#88137C2211yescharacteristic, complemented
193C2×#88137C2211yescharacteristic, complemented
194C2×#88137C2211yescharacteristic, complemented
195C2×#88136C2211yescharacteristic
196C2×#88136C2211yescharacteristic
197C2×C22⋊C4×D13C2211yescharacteristic
198C2×C22⋊C4×D13C2211yescharacteristic
199C2×C22⋊C4×D13C2211yescharacteristic
200C2×C22⋊C4×D13C2211yescharacteristic
201C2×#88133C2211yescharacteristic, complemented
202C2×#88132C2211yescharacteristic
203C2×#88132C2211yescharacteristic
204C2×#88132C2211yescharacteristic
205C2×#88131C2211yescharacteristic
206C2×#88131C2211yescharacteristic
207C2×#88130C2211yescharacteristic, complemented
208C2×#88130C2211yescharacteristic, complemented
209C2×#88130C2211yescharacteristic, complemented
210C2×#88130C2211yescharacteristic, complemented
211C2×#88129C2211yescharacteristic
212C2×#88129C2211yescharacteristic, complemented
213C2×C4×D52C2211yescharacteristic
214C2×C4×D52C2211yescharacteristic, complemented
215C2×#88126C2211yescharacteristic, complemented
216C2×#88126C2211yescharacteristic, complemented
217C2×#88126C2211yescharacteristic, complemented
218C2×#88124C2211yescharacteristic, complemented
219C24×D13C2311yescharacteristic
220C24×D13C2311yescharacteristic
221C22×Q8×C13C2311yescharacteristic
222C22×Q8×C13C2311yescharacteristic
223C22×Q8×C13C2311yescharacteristic
224C22×D4×C13C2311yescharacteristic
225C23×C4×C13C2311yescharacteristic
226C23×C4×C13C2311yescharacteristic
227C23×C4×C13C2311yescharacteristic
228C23×C4×C13C2311yescharacteristic
229C23×C4×C13C2311yescharacteristic
230C23×C4×C13C2311yescharacteristic
231C22×C22⋊D13C2311yescharacteristic
232C22×C22⋊D13C2311yescharacteristic
233C22×C22⋊D13C2311yescharacteristic
234C22×C22⋊D13C2311yescharacteristic
235C22×C22⋊D13C2311yescharacteristic
236C22×C22⋊D13C2311yescharacteristic
237C23×Dic13C2311yescharacteristic
238C23×Dic13C2311yescharacteristic
239C2×#6131—44no—
240C2×#6131C2318yes—
241C2×Q8×D13—44no—
242C2×Q8×D13C2318yescomplemented
243C2×#6127—44no—
244C2×#6127—44no—
245C2×#6127C2318yes—
246C2×#6127C2318yescomplemented
247C22×D52—44no—
248C22×D52C2311yescharacteristic
249C22×D52C2311yescharacteristic
250C22×D52C2311yescharacteristic
251C22×D52C2311yescharacteristic
252C22×D52C2311yescharacteristic
253C22×D52C2311yescharacteristic
254C22×D52C2311yescharacteristic
255C22×D52C2311yescharacteristic
256C22×D52C2318yes—
257C22×C4×D13—44no—
258C22×C4×D13C2311yescharacteristic
259C22×C4×D13C2311yescharacteristic
260C22×C4×D13C2311yescharacteristic
261C22×C4×D13C2311yescharacteristic
262C22×C4×D13C2311yescharacteristic
263C22×C4×D13C2311yescharacteristic
264C22×C4×D13C2311yescharacteristic
265C22×C4×D13C2311yescharacteristic
266C22×C4×D13C2311yescharacteristic
267C22×C4×D13C2311yescharacteristic
268C22×C4×D13C2311yescharacteristic
269C22×C4×D13C2311yescharacteristic
270C22×C4×D13C2311yescharacteristic
271C22×C4×D13C2311yescharacteristic
272C22×C4×D13C2311yescharacteristic
273C22×C4×D13C2318yes—
274C22×Dic26C2311yescharacteristic
275C22×Dic26C2311yescharacteristic
276C22×Dic26C2311yescharacteristic
277C22×Dic26C2311yescharacteristic
278C22×Dic26C2311yescharacteristic
279C22×Dic26C2311yescharacteristic
280C13×C4⋊Q8C2318yescomplemented
281C13×#125C2318yescomplemented
282C13×#125C2318yescomplemented
283C13×C22⋊Q8C2318yes—
284C13×C22⋊Q8C2318yes—
285C13×C22⋊Q8C2318yes—
286C13×C22⋊Q8C2318yescomplemented
287C13×C22⋊Q8C2318yescomplemented
288C13×C22⋊Q8C2318yescomplemented
289C4×Q8×C13C2318yescomplemented
290C4×D4×C13C2318yes—
291C4×D4×C13C2318yes—
292C4×D4×C13C2318yes—
293C2×C13×C4⋊C4C2311yescharacteristic
294C2×C13×C4⋊C4C2311yescharacteristic
295C2×C13×C4⋊C4C2311yescharacteristic
296C2×C13×C4⋊C4C2311yescharacteristic
297C2×C13×C4⋊C4C2311yescharacteristic
298C2×C13×C4⋊C4C2311yescharacteristic
299C2×C13×C4⋊C4C2311yescharacteristic
300C2×C13×C4⋊C4C2311yescharacteristic
301C2×C13×C4⋊C4C2311yescharacteristic
302C2×C13×C4⋊C4C2311yescharacteristic
303C2×C13×C4⋊C4C2311yescharacteristic
304C2×C13×C4⋊C4C2311yescharacteristic
305C2×C13×C4⋊C4C2311yescharacteristic
306C2×C13×C4⋊C4C2318yes—
307C2×C13×C4⋊C4C2311yescharacteristic
308C2×C13×C4⋊C4C2311yescharacteristic
309C2×C13×C4⋊C4C2311yescharacteristic
310C2×C13×C4⋊C4C2318yescomplemented
311C2×C13×C22⋊C4C2311yescharacteristic
312C2×C13×C22⋊C4C2311yescharacteristic
313C2×C13×C22⋊C4C2311yescharacteristic
314C2×C13×C22⋊C4C2311yescharacteristic
315C2×C13×C22⋊C4C2311yescharacteristic
316C2×C13×C22⋊C4C2311yescharacteristic
317C2×C42×C13C2311yescharacteristic
318C2×C42×C13C2311yescharacteristic
319C2×C42×C13C2311yescharacteristic
320C2×C22⋊Dic13C2311yescharacteristic
321C2×C22⋊Dic13C2311yescharacteristic
322C2×C22⋊Dic13C2311yescharacteristic
323C2×C22⋊Dic13C2311yescharacteristic
324C2×C22⋊Dic13C2311yescharacteristic
325C2×C22⋊Dic13C2311yescharacteristic
326#88201C2318yes—
327#88201C2318yescomplemented
328#88201C2318yescomplemented
329#88200C2318yescomplemented
330#88200C2318yescomplemented
331#88200C2318yescomplemented
332#88200C2318yescomplemented
333#88200C2318yescomplemented
334#88198C2318yescomplemented
335#88198C2318yescomplemented
336#88193C2318yes—
337#88191C2318yes—
338#88191C2318yes—
339#88189C2318yes—
340#88184C2318yes—
341#88184C2318yescomplemented
342#88183C2318yescomplemented
343#88183C2318yescomplemented
344#88183C2318yescomplemented
345#88183C2318yescomplemented
346C4×C22⋊D13C2318yes—
347C4×C22⋊D13C2318yes—
348C4×C22⋊D13C2318yes—
349C4×C22⋊D13C2318yescomplemented
350C4×C22⋊D13C2318yescomplemented
351C4×C22⋊D13C2318yescomplemented
352C2×#6103C2311yescharacteristic
353C2×#6103C2311yescharacteristic
354C2×#6103C2311yescharacteristic
355C2×#6103C2311yescharacteristic
356C2×#6103C2311yescharacteristic
357C2×#6103C2311yescharacteristic
358C2×#6103C2311yescharacteristic
359C2×#6103C2311yescharacteristic
360C2×#6103C2311yescharacteristic
361C2×#6103C2311yescharacteristic
362C2×#6103C2311yescharacteristic
363C2×#6103C2311yescharacteristic
364C2×#6103C2311yescharacteristic
365C2×#6103C2311yescharacteristic
366C2×#6103C2311yescharacteristic
367C2×#6103C2311yescharacteristic
368C2×#6103C2311yescharacteristic
369C2×#6103C2311yescharacteristic
370C2×#6103C2311yescharacteristic
371C2×#6103C2311yescharacteristic
372C2×#6103C2311yescharacteristic
373C2×#6103C2311yescharacteristic
374C2×#6103C2311yescharacteristic
375C2×#6103C2311yescharacteristic
376C2×#6103C2311yescharacteristic
377C2×#6103C2311yescharacteristic
378C2×#6103C2311yescharacteristic
379C2×#6103C2311yescharacteristic
380C2×#6103C2311yescharacteristic
381C2×#6103C2311yescharacteristic
382C2×#6103C2311yescharacteristic
383C2×#6103C2311yescharacteristic
384C2×#6103C2311yescharacteristic
385C2×#6103C2311yescharacteristic
386C2×#6103C2318yes—
387C2×#6103C2318yes—
388C2×#6103C2318yes—
389C2×C4⋊Dic13C2311yescharacteristic
390C2×C4⋊Dic13C2311yescharacteristic
391C2×C4⋊Dic13C2311yescharacteristic
392C2×C4⋊Dic13C2311yescharacteristic
393C2×C4⋊Dic13C2311yescharacteristic
394C2×C4⋊Dic13C2311yescharacteristic
395C2×C4⋊Dic13C2311yescharacteristic
396C2×C4⋊Dic13C2311yescharacteristic
397#88178C2318yes—
398#88178C2318yes—
399#88178C2318yes—
400#88178C2318yescomplemented
401C2×#6101C2311yescharacteristic
402C2×#6101C2311yescharacteristic
403C2×#6101C2311yescharacteristic
404C2×#6101C2311yescharacteristic
405C2×#6101C2311yescharacteristic
406C2×#6101C2311yescharacteristic
407C2×#6101C2311yescharacteristic
408C2×#6101C2311yescharacteristic
409C2×#6101C2311yescharacteristic
410C2×#6101C2311yescharacteristic
411C2×#6101C2311yescharacteristic
412C2×#6101C2311yescharacteristic
413C2×#6101C2311yescharacteristic
414C2×#6101C2311yescharacteristic
415C2×#6101C2311yescharacteristic
416C2×#6101C2311yescharacteristic
417C2×#6101C2311yescharacteristic
418C2×#6101C2311yescharacteristic
419C2×#6101C2311yescharacteristic
420C2×#6101C2311yescharacteristic
421C2×#6101C2311yescharacteristic
422C2×#6101C2311yescharacteristic
423C2×#6101C2311yescharacteristic
424C2×#6101C2311yescharacteristic
425C2×#6101C2311yescharacteristic
426C2×#6101C2311yescharacteristic
427C2×#6101C2318yes—
428C2×C4×Dic13C2311yescharacteristic
429C2×C4×Dic13C2311yescharacteristic
430C2×C4×Dic13C2311yescharacteristic
431C2×C4×Dic13C2311yescharacteristic
432C2×C4×Dic13C2311yescharacteristic
433C2×C4×Dic13C2311yescharacteristic
434C2×C4×Dic13C2311yescharacteristic
435#88152C2318yescomplemented
436#88152C2318yescomplemented
437#88152C2318yescomplemented
438#88152C2318yescomplemented
439#88152C2318yescomplemented
440#88152C2318yescomplemented
441#88152C2318yescomplemented
442#88151C2318yescomplemented
443#88151C2318yescomplemented
444#88151C2318yescomplemented
445#88151C2318yescomplemented
446#88150C2318yescomplemented
447#88150C2318yescomplemented
448#88150C2318yescomplemented
449#88150C2318yescomplemented
450#88150C2318yescomplemented
451#88150C2318yescomplemented
452#88150C2318yescomplemented
453#88150C2318yescomplemented
454#88150C2318yescomplemented
455#88150C2318yescomplemented
456#88150C2318yescomplemented
457#88150C2318yescomplemented
458#88149C2318yes—
459#88149C2318yes—
460#88149C2318yes—
461#88148C2318yes—
462#88148C2318yes—
463#88148C2318yes—
464#88148C2318yes—
465#88148C2318yes—
466#88148C2318yes—
467#88148C2318yes—
468#88148C2318yes—
469#88148C2318yes—
470#88148C2318yes—
471#88148C2318yes—
472#88148C2318yes—
473#88148C2318yescomplemented
474#88148C2318yescomplemented
475#88148C2318yescomplemented
476#88148C2318yescomplemented
477#88148C2318yescomplemented
478#88148C2318yescomplemented
479#88147C2318yes—
480#88147C2318yescomplemented
481#88147C2318yescomplemented
482#88146C2318yescomplemented
483#88146C2318yescomplemented
484C4⋊C4×D13C2318yescomplemented
485C4⋊C4×D13C2318yescomplemented
486C4⋊C4×D13C2318yescomplemented
487C4⋊C4×D13C2318yescomplemented
488#88143C2318yescomplemented
489#88143C2318yescomplemented
490#88143C2318yescomplemented
491#88143C2318yescomplemented
492#88143C2318yescomplemented
493#88143C2318yescomplemented
494#88143C2318yescomplemented
495#88142C2318yescomplemented
496#88142C2318yescomplemented
497#88142C2318yescomplemented
498#88141C2318yescomplemented
499#88140C2318yes—
500#88139C2318yescomplemented
501#88139C2318yescomplemented
502#88139C2318yescomplemented
503#88138C2318yes—
504#88138C2318yes—
505#88138C2318yescomplemented
506#88138C2318yescomplemented
507#88137C2318yescomplemented
508#88137C2318yescomplemented
509#88137C2318yescomplemented
510#88137C2318yescomplemented
511#88136C2318yes—
512#88136C2318yes—
513C22⋊C4×D13C2318yes—
514C22⋊C4×D13C2318yes—
515C22⋊C4×D13C2318yes—
516C22⋊C4×D13C2318yes—
517#88133C2318yescomplemented
518#88132C2318yes—
519#88132C2318yes—
520#88132C2318yes—
521#88131C2318yes—
522#88131C2318yes—
523#88130C2318yescomplemented
524#88130C2318yescomplemented
525#88130C2318yescomplemented
526#88130C2318yescomplemented
527#88129C2318yes—
528#88129C2318yescomplemented
529C4×D52C2318yes—
530C4×D52C2318yescomplemented
531#88126C2318yescomplemented
532#88126C2318yescomplemented
533#88126C2318yescomplemented
534#88124C2318yescomplemented
535C2×#3535—131nomaximal, Sylow
536C24×C13C2411yescharacteristic
537C24×C13C2411yescharacteristic
538C23×D13—24no—
539C23×D13—24no—
540C23×D13—24no—
541C23×D13—42no—
542C23×D13—42no—
543C23×D13—42no—
544C23×D13C2411yescharacteristic
545C23×D13C2411yescharacteristic
546C23×D13C2411yescharacteristic
547C23×D13C2411yescharacteristic
548C23×D13C2414yes—
549C23×D13C2411yescharacteristic
550C23×D13C2414yes—
551C2×Q8×C13—42no—
552C2×Q8×C13—42no—
553C2×Q8×C13—42no—
554C2×Q8×C13C2414yes—
555C2×Q8×C13C2414yes—
556C2×Q8×C13C2414yes—
557C2×D4×C13—24no—
558C2×D4×C13C2414yes—
559C22×C4×C13—42no—
560C22×C4×C13—42no—
561C22×C4×C13—42no—
562C22×C4×C13—42no—
563C22×C4×C13—42no—
564C22×C4×C13—42no—
565C22×C4×C13C2411yescharacteristic
566C22×C4×C13C2411yescharacteristic
567C22×C4×C13C2411yescharacteristic
568C22×C4×C13C2411yescharacteristic
569C22×C4×C13C2411yescharacteristic
570C22×C4×C13C2411yescharacteristic
571C22×C4×C13C2411yescharacteristic
572C22×C4×C13C2411yescharacteristic
573C22×C4×C13C2411yescharacteristic
574C22×C4×C13C2411yescharacteristic
575C22×C4×C13C2411yescharacteristic
576C22×C4×C13C2411yescharacteristic
577C22×C4×C13C2411yescharacteristic
578C22×C4×C13C2414yes—
579C22×C4×C13C2414yes—
580C22×C4×C13C2414yes—
581C22×C4×C13C2414yes—
582C22×C4×C13C2414yes—
583C22×C4×C13C2414yes—
584C2×C22⋊D13—24no—
585C2×C22⋊D13—24no—
586C2×C22⋊D13—42no—
587C2×C22⋊D13—42no—
588C2×C22⋊D13—42no—
589C2×C22⋊D13—42no—
590C2×C22⋊D13C2414yes—
591C2×C22⋊D13C2414yes—
592C2×C22⋊D13C2414yes—
593C2×C22⋊D13C2414yes—
594C2×C22⋊D13C2414yes—
595C2×C22⋊D13C2414yes—
596C22×Dic13—24no—
597C22×Dic13—42no—
598C22×Dic13C2414yes—
599C22×Dic13C2411yescharacteristic
600C22×Dic13C2411yescharacteristic
601C22×Dic13C2411yescharacteristic
602C22×Dic13C2411yescharacteristic
603C22×Dic13C2411yescharacteristic
604C22×Dic13C2411yescharacteristic
605C22×Dic13C2411yescharacteristic
606C22×Dic13C2411yescharacteristic
607C22×Dic13C2411yescharacteristic
608C22×Dic13C2411yescharacteristic
609C22×Dic13C2411yescharacteristic
610C22×Dic13C2414yes—
611#6131—416no—
612Q8×D13—416no—
613#6127—416no—
614#6127—416no—
615C2×D52—24no—
616C2×D52—24no—
617C2×D52—24no—
618C2×D52—416no—
619C2×D52—42no—
620C2×D52—42no—
621C2×D52—42no—
622C2×D52—42no—
623C2×D52—42no—
624C2×D52C2414yes—
625C2×D52C2414yes—
626C2×D52C2414yes—
627C2×D52C2414yes—
628C2×D52C2414yes—
629C2×D52C2414yes—
630C2×D52C2414yes—
631C2×D52C2414yes—
632C2×C4×D13—24no—
633C2×C4×D13—24no—
634C2×C4×D13—24no—
635C2×C4×D13—24no—
636C2×C4×D13—416no—
637C2×C4×D13—42no—
638C2×C4×D13—42no—
639C2×C4×D13—42no—
640C2×C4×D13—42no—
641C2×C4×D13—42no—
642C2×C4×D13—42no—
643C2×C4×D13—42no—
644C2×C4×D13—42no—
645C2×C4×D13—42no—
646C2×C4×D13—42no—
647C2×C4×D13—42no—
648C2×C4×D13C2414yes—
649C2×C4×D13C2414yes—
650C2×C4×D13C2414yes—
651C2×C4×D13C2414yes—
652C2×C4×D13C2414yes—
653C2×C4×D13C2414yes—
654C2×C4×D13C2414yes—
655C2×C4×D13C2414yes—
656C2×C4×D13C2414yes—
657C2×C4×D13C2414yes—
658C2×C4×D13C2414yes—
659C2×C4×D13C2414yes—
660C2×C4×D13C2414yes—
661C2×C4×D13C2414yes—
662C2×C4×D13C2414yes—
663C2×Dic26—42no—
664C2×Dic26—42no—
665C2×Dic26—42no—
666C2×Dic26—42no—
667C2×Dic26—42no—
668C2×Dic26—42no—
669C2×Dic26C2414yes—
670C2×Dic26C2414yes—
671C2×Dic26C2414yes—
672C2×Dic26C2414yes—
673C2×Dic26C2414yes—
674C2×Dic26C2414yes—
675C13×C4⋊C4C2414yes—
676C13×C4⋊C4C2414yes—
677C13×C4⋊C4C2414yes—
678C13×C4⋊C4C2414yes—
679C13×C4⋊C4C2414yes—
680C13×C4⋊C4C2414yes—
681C13×C4⋊C4C2414yes—
682C13×C4⋊C4C2414yes—
683C13×C4⋊C4C2414yes—
684C13×C4⋊C4C2414yes—
685C13×C4⋊C4C2414yes—
686C13×C4⋊C4C2414yes—
687C13×C4⋊C4C2414yes—
688C13×C4⋊C4C2414yes—
689C13×C4⋊C4C2414yes—
690C13×C4⋊C4C2414yes—
691C13×C22⋊C4C2414yes—
692C13×C22⋊C4C2414yes—
693C13×C22⋊C4C2414yes—
694C13×C22⋊C4C2414yes—
695C13×C22⋊C4C2414yes—
696C13×C22⋊C4C2414yes—
697C42×C13C2414yes—
698C42×C13C2414yes—
699C42×C13C2414yes—
700C22⋊Dic13C2414yes—
701C22⋊Dic13C2414yes—
702C22⋊Dic13C2414yes—
703C22⋊Dic13C2414yes—
704C22⋊Dic13C2414yes—
705C22⋊Dic13C2414yes—
706#6103C2414yes—
707#6103C2414yes—
708#6103C2414yes—
709#6103C2414yes—
710#6103C2414yes—
711#6103C2414yes—
712#6103C2414yes—
713#6103C2414yes—
714#6103C2414yes—
715#6103C2414yes—
716#6103C2414yes—
717#6103C2414yes—
718#6103C2414yes—
719#6103C2414yes—
720#6103C2414yes—
721#6103C2414yes—
722#6103C2414yes—
723#6103C2414yes—
724#6103C2414yes—
725#6103C2414yes—
726#6103C2414yes—
727#6103C2414yes—
728#6103C2414yes—
729#6103C2414yes—
730#6103C2414yes—
731#6103C2414yes—
732#6103C2414yes—
733#6103C2414yes—
734#6103C2414yes—
735#6103C2414yes—
736#6103C2414yes—
737#6103C2414yes—
738#6103C2414yes—
739#6103C2414yes—
740C4⋊Dic13C2414yes—
741C4⋊Dic13C2414yes—
742C4⋊Dic13C2414yes—
743C4⋊Dic13C2414yes—
744C4⋊Dic13C2414yes—
745C4⋊Dic13C2414yes—
746C4⋊Dic13C2414yes—
747C4⋊Dic13C2414yes—
748#6101C2414yes—
749#6101C2414yes—
750#6101C2414yes—
751#6101C2414yes—
752#6101C2414yes—
753#6101C2414yes—
754#6101C2414yes—
755#6101C2414yes—
756#6101C2414yes—
757#6101C2414yes—
758#6101C2414yes—
759#6101C2414yes—
760#6101C2414yes—
761#6101C2414yes—
762#6101C2414yes—
763#6101C2414yes—
764#6101C2414yes—
765#6101C2414yes—
766#6101C2414yes—
767#6101C2414yes—
768#6101C2414yes—
769#6101C2414yes—
770#6101C2414yes—
771#6101C2414yes—
772#6101C2414yes—
773#6101C2414yes—
774C4×Dic13C2414yes—
775C4×Dic13C2414yes—
776C4×Dic13C2414yes—
777C4×Dic13C2414yes—
778C4×Dic13C2414yes—
779C4×Dic13C2414yes—
780C4×Dic13C2414yes—
781#3535—1332no—
782C2×#563—131no—
783C2×#563—131no—
784C2×#562—131no—
785C2×#562—131no—
786C2×#554—131no—
787C2×#554D1311yescharacteristic, complemented
788C2×#552—131no—
789C2×#552—131no—
790C2×#551—131no—
791C2×#551—131no—
792C2×#551—131no—
793C2×#551—131no—
794C2×#547—131no—
795C2×#547—131no—
796C2×#546—131no—
797C2×#546—131no—
798C2×#544—131no—
799C2×#543—131no—
800C2×#542—131no—
801C2×#542—131no—
802C2×#539—131no—
803C2×#539—131no—
804C2×#539—131no—
805C2×#539—131no—
806C2×#539—131no—
807C2×#538—131no—
808C2×#536—131no—
809C2×#536—131no—
810C2×#525—131no—
811C22×#123—131no—
812C22×C22⋊Q8—131no—
813C23×C13—22no—
814C23×C13—22no—
815C23×C13—22no—
816C23×C13—22no—
817C23×C13—22no—
818C23×C132−1+414yes—
819C23×C13C2512yes—
820C23×C13C2512yes—
821C23×C13C2511yescharacteristic
822C22×D13—22no—
823C22×D13—22no—
824C22×D13—22no—
825C22×D13—22no—
826C22×D13—22no—
827C22×D13—22no—
828C22×D13—22no—
829C22×D13—28no—
830C22×D13—22no—
831C22×D13—22no—
832C22×D13—22no—
833C22×D13—22no—
834C22×D13—22no—
835C22×D13—22no—
836C22×D13—22no—
837C22×D13—28no—
838C22×D13—28no—
839C22×D13—44no—
840C22×D13—44no—
841C22×D13—44no—
842C22×D13—416no—
843C22×D13—88no—
844C22×D13H(5,𝔽2)14yes—
845C22×D13C2512yes—
846C22×D13C2512yes—
847C22×D13C2512yes—
848C22×D13C2512yes—
849C22×D13C2512yes—
850Q8×C13—44no—
851Q8×C13—44no—
852Q8×C13—44no—
853D4×C13—28no—
854C2×C4×C13—22no—
855C2×C4×C13—22no—
856C2×C4×C13—22no—
857C2×C4×C13—22no—
858C2×C4×C13—22no—
859C2×C4×C13—22no—
860C2×C4×C13—22no—
861C2×C4×C13—22no—
862C2×C4×C13—22no—
863C2×C4×C13—22no—
864C2×C4×C13—22no—
865C2×C4×C13—22no—
866C2×C4×C13—22no—
867C2×C4×C13—44no—
868C2×C4×C13—44no—
869C2×C4×C13—44no—
870C2×C4×C13—44no—
871C2×C4×C13—44no—
872C2×C4×C13—44no—
873C2×C4×C13C2512yes—
874C2×C4×C13C2512yes—
875C2×C4×C13C2512yes—
876C2×C4×C13C2512yes—
877C2×C4×C13C2512yes—
878C2×C4×C13C2512yes—
879C2×C4×C13C2512yes—
880C2×C4×C13C2512yes—
881C2×C4×C13C2512yes—
882C2×C4×C13C2512yes—
883C2×C4×C13C2512yes—
884C2×C4×C13C2512yes—
885C2×C4×C13C2512yes—
886C22⋊D13—28no—
887C22⋊D13—28no—
888C22⋊D13—44no—
889C22⋊D13—44no—
890C22⋊D13—44no—
891C22⋊D13—44no—
892C2×Dic13—22no—
893C2×Dic13—22no—
894C2×Dic13—22no—
895C2×Dic13—22no—
896C2×Dic13—22no—
897C2×Dic13—28no—
898C2×Dic13—22no—
899C2×Dic13—22no—
900C2×Dic13—22no—
901C2×Dic13—22no—
902C2×Dic13—22no—
903C2×Dic13—22no—
904C2×Dic13—44no—
905C2×Dic13C2512yes—
906C2×Dic13C2512yes—
907C2×Dic13C2512yes—
908C2×Dic13C2512yes—
909C2×Dic13C2512yes—
910C2×Dic13C2512yes—
911C2×Dic13C2512yes—
912C2×Dic13C2512yes—
913C2×Dic13C2512yes—
914C2×Dic13C2512yes—
915C2×Dic13C2512yes—
916D52—28no—
917D52—28no—
918D52—28no—
919D52—44no—
920D52—44no—
921D52—44no—
922D52—44no—
923D52—44no—
924C4×D13—28no—
925C4×D13—28no—
926C4×D13—28no—
927C4×D13—28no—
928C4×D13—44no—
929C4×D13—44no—
930C4×D13—44no—
931C4×D13—44no—
932C4×D13—44no—
933C4×D13—44no—
934C4×D13—44no—
935C4×D13—44no—
936C4×D13—44no—
937C4×D13—44no—
938C4×D13—44no—
939Dic26—44no—
940Dic26—44no—
941Dic26—44no—
942Dic26—44no—
943Dic26—44no—
944Dic26—44no—
945C22×#41—131no—
946C22×#41—131no—
947C22×#41—131no—
948C23×Q8—131no—
949C23×D4—131no—
950C24×C4—131no—
951#563—1316no—
952#563—1316no—
953#562—1316no—
954#562—1316no—
955#554—1316no—
956#554C2×D13116yescomplemented
957#552—1316no—
958#552—1316no—
959#551—1316no—
960#551—1316no—
961#551—1316no—
962#551—1316no—
963#547—1316no—
964#547—1316no—
965#546—1316no—
966#546—1316no—
967#544—1316no—
968#543—1316no—
969#542—1316no—
970#542—1316no—
971#539—1316no—
972#539—1316no—
973#539—1316no—
974#539—1316no—
975#539—1316no—
976#538—1316no—
977#536—1316no—
978#536—1316no—
979C2×C4⋊Q8—131no—
980C2×C4⋊Q8—131no—
981C2×C4⋊Q8—131no—
982C2×C4⋊Q8—131no—
983C2×C4⋊Q8—131no—
984C2×C4⋊Q8C2×D1311yescharacteristic, complemented
985C2×#126—131no—
986C2×#126—131no—
987C2×#126—131no—
988C2×#126—131no—
989C2×#126—131no—
990C2×#126—131no—
991C2×#126—131no—
992C2×#126—131no—
993C2×#126—131no—
994C2×#126—131no—
995C2×#126—131no—
996C2×#126—131no—
997C2×#125—131no—
998C2×#125—131no—
999C2×#125—131no—
1000C2×#125—131no—
1001C2×#125—131no—
1002C2×#125—131no—
1003C2×#125—131no—
1004C2×#125—131no—
1005C2×#125C2×D1311yescharacteristic, complemented
1006C2×#125C2×D1311yescharacteristic, complemented
1007C2×#124—131no—
1008C2×#124—131no—
1009C2×#124—131no—
1010C2×#124—131no—
1011C2×#124—131no—
1012C2×#124—131no—
1013C2×#124—131no—
1014C2×#124—131no—
1015#525—1316no—
1016C2×#123—131no—
1017C2×#123—131no—
1018C2×#123—131no—
1019C2×#123—131no—
1020C2×#123—131no—
1021C2×#123—131no—
1022C2×#123—131no—
1023C2×#123—131no—
1024C2×#123—131no—
1025C2×#123—131no—
1026C2×#123—131no—
1027C2×#123—131no—
1028C2×#123—131no—
1029C2×#123—131no—
1030C2×#123—131no—
1031C2×#123—131no—
1032C2×#123—131no—
1033C2×#123—1316no—
1034C2×#123—131no—
1035C2×#123—131no—
1036C2×#123—131no—
1037C2×#123—131no—
1038C2×#123—131no—
1039C2×#123—131no—
1040C2×#123—131no—
1041C2×#123—131no—
1042C2×#123—131no—
1043C2×#123—131no—
1044C2×#123—131no—
1045C2×C22⋊Q8—131no—
1046C2×C22⋊Q8—131no—
1047C2×C22⋊Q8—131no—
1048C2×C22⋊Q8—131no—
1049C2×C22⋊Q8—131no—
1050C2×C22⋊Q8—131no—
1051C2×C22⋊Q8—131no—
1052C2×C22⋊Q8—131no—
1053C2×C22⋊Q8—131no—
1054C2×C22⋊Q8—1316no—
1055C2×C22⋊Q8—131no—
1056C2×C22⋊Q8—131no—
1057C2×C22⋊Q8—131no—
1058C2×C22⋊Q8—131no—
1059C2×C22⋊Q8—131no—
1060C2×C22⋊Q8—131no—
1061C2×C22⋊Q8—131no—
1062C2×C22⋊Q8—131no—
1063C2×C22⋊Q8—131no—
1064C2×C22⋊Q8—131no—
1065C2×C22⋊Q8—131no—
1066C2×C22⋊Q8—131no—
1067C2×C22⋊Q8—131no—
1068C2×C22⋊Q8—131no—
1069C2×C22⋊Q8—131no—
1070C2×C22⋊Q8—131no—
1071C2×C22⋊Q8—131no—
1072C2×C22⋊Q8—131no—
1073C2×C22⋊Q8—131no—
1074C2×C22⋊Q8C2×D1311yescharacteristic
1075C2×C22⋊Q8C2×D1311yescharacteristic
1076C2×C22⋊Q8C2×D1311yescharacteristic
1077C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1078C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1079C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1080C2×#121—131no—
1081C2×#121—131no—
1082C2×#121—131no—
1083C2×#121—131no—
1084C2×#121—131no—
1085C2×#121—131no—
1086C2×#121—131no—
1087C2×#121—131no—
1088C2×#121—131no—
1089C2×#121—131no—
1090C2×#120—131no—
1091C2×#120—131no—
1092C2×#120—131no—
1093C2×#120—131no—
1094C2×C4×Q8—131no—
1095C2×C4×Q8C2×D1311yescharacteristic, complemented
1096C2×C4×D4—131no—
1097C2×C4×D4—131no—
1098C2×C4×D4—131no—
1099C2×C4×D4—131no—
1100C2×C4×D4—131no—
1101C2×C4×D4—131no—
1102C2×C4×D4—131no—
1103C2×C4×D4—131no—
1104C2×C4×D4—131no—
1105C2×C4×D4—131no—
1106C2×C4×D4—131no—
1107C2×C4×D4C2×D1311yescharacteristic
1108C2×C4×D4C2×D1311yescharacteristic
1109C2×C4×D4C2×D1311yescharacteristic
1110C2×#117—131no—
1111C2×#117—131no—
1112C2×#117—131no—
1113C2×#117—131no—
1114C2×#117—131no—
1115C2×#117—131no—
1116C2×#117—131no—
1117C22×C4⋊C4—131no—
1118C22×C4⋊C4—131no—
1119C22×C4⋊C4—131no—
1120C22×C4⋊C4—131no—
1121C22×C4⋊C4—131no—
1122C22×C4⋊C4C2×D1311yescharacteristic
1123C22×C4⋊C4C2×D1311yescharacteristic, complemented
1124C22×C22⋊C4—131no—
1125C22×C22⋊C4—131no—
1126C22×C22⋊C4—131no—
1127C22×C22⋊C4—131no—
1128C22×C22⋊C4—131no—
1129C22×C22⋊C4—131no—
1130C22×C22⋊C4—131no—
1131C22×C13—22no—
1132C22×C13—22no—
1133C22×C13—28no—
1134C22×C13—22no—
1135C22×C13—22no—
1136C22×C13—22no—
1137C22×C13—44no—
1138C22×C13C2×H(5,𝔽2)12yes—
1139C22×C13C2×2−1+414yes—
1140C22×C13C2×2−1+412yes—
1141C22×C13#58512yes—
1142C22×C13C2611yescharacteristic
1143C2×D13—22no—
1144C2×D13—22no—
1145C2×D13—28no—
1146C2×D13—22no—
1147C2×D13—22no—
1148C2×D13—22no—
1149C2×D13—22no—
1150C2×D13—22no—
1151C2×D13—22no—
1152C2×D13—22no—
1153C2×D13—22no—
1154C2×D13—22no—
1155C2×D13—22no—
1156C2×D13—22no—
1157C2×D13—22no—
1158C2×D13—416no—
1159C2×D13—44no—
1160C2×D13—44no—
1161C2×D13—44no—
1162C2×D13—44no—
1163C2×D13—88no—
1164C2×D13C2×H(5,𝔽2)14yes—
1165C4×C13—22no—
1166C4×C13—22no—
1167C4×C13—22no—
1168C4×C13—22no—
1169C4×C13—22no—
1170C4×C13—22no—
1171C4×C13—22no—
1172C4×C13—22no—
1173C4×C13—22no—
1174C4×C13—22no—
1175C4×C13—22no—
1176C4×C13—22no—
1177C4×C13—22no—
1178Dic13—22no—
1179Dic13—22no—
1180Dic13—22no—
1181Dic13—22no—
1182Dic13—22no—
1183Dic13—22no—
1184Dic13—22no—
1185Dic13—22no—
1186Dic13—22no—
1187Dic13—22no—
1188Dic13—22no—
1189C25—131no—
1190C25—131no—
1191C2×#41—138no—
1192C2×#41—138no—
1193C2×#41—138no—
1194C2×#41—524no—
1195C2×#41—524no—
1196C2×#41—524no—
1197C22×Q8—138no—
1198C22×Q8—131no—
1199C22×Q8—131no—
1200C22×Q8—131no—
1201C22×Q8—131no—
1202C22×Q8—131no—
1203C22×Q8—131no—
1204C22×Q8—524no—
1205C22×Q8C22×D1311yescharacteristic
1206C22×Q8C22×D1311yescharacteristic
1207C22×Q8C22×D1311yescharacteristic
1208C22×D4—131no—
1209C22×D4—131no—
1210C22×D4—131no—
1211C22×D4—131no—
1212C22×D4—131no—
1213C22×D4—131no—
1214C22×D4—131no—
1215C22×D4—131no—
1216C22×D4—131no—
1217C22×D4—131no—
1218C22×D4—131no—
1219C22×D4—131no—
1220C22×D4—131no—
1221C22×D4—131no—
1222C22×D4—138no—
1223C22×D4—524no—
1224C22×D4C22×D1311yescharacteristic
1225C23×C4—131no—
1226C23×C4—131no—
1227C23×C4—131no—
1228C23×C4—131no—
1229C23×C4—131no—
1230C23×C4—131no—
1231C23×C4—131no—
1232C23×C4—131no—
1233C23×C4—131no—
1234C23×C4—131no—
1235C23×C4—131no—
1236C23×C4—131no—
1237C23×C4—131no—
1238C23×C4—131no—
1239C23×C4—131no—
1240C23×C4—131no—
1241C23×C4—131no—
1242C23×C4—138no—
1243C23×C4—524no—
1244C23×C4C22×D1311yescharacteristic
1245C23×C4C22×D1311yescharacteristic
1246C23×C4C22×D1311yescharacteristic
1247C23×C4C22×D1311yescharacteristic
1248C23×C4C22×D1311yescharacteristic
1249C23×C4C22×D1311yescharacteristic
1250C4⋊Q8—138no—
1251C4⋊Q8—138no—
1252C4⋊Q8—138no—
1253C4⋊Q8—138no—
1254C4⋊Q8—138no—
1255C4⋊Q8C22×D1318yescomplemented
1256#126—138no—
1257#126—138no—
1258#126—138no—
1259#126—138no—
1260#126—138no—
1261#126—138no—
1262#126—138no—
1263#126—138no—
1264#126—138no—
1265#126—138no—
1266#126—138no—
1267#126—138no—
1268#125—138no—
1269#125—138no—
1270#125—138no—
1271#125—138no—
1272#125—138no—
1273#125—138no—
1274#125—138no—
1275#125—138no—
1276#125C22×D1318yescomplemented
1277#125C22×D1318yescomplemented
1278#124—138no—
1279#124—138no—
1280#124—138no—
1281#124—138no—
1282#124—138no—
1283#124—138no—
1284#124—138no—
1285#124—138no—
1286#123—138no—
1287#123—138no—
1288#123—138no—
1289#123—138no—
1290#123—138no—
1291#123—138no—
1292#123—138no—
1293#123—138no—
1294#123—138no—
1295#123—138no—
1296#123—138no—
1297#123—138no—
1298#123—138no—
1299#123—138no—
1300#123—138no—
1301#123—138no—
1302#123—138no—
1303#123—138no—
1304#123—138no—
1305#123—138no—
1306#123—138no—
1307#123—138no—
1308#123—138no—
1309#123—138no—
1310#123—138no—
1311#123—138no—
1312#123—138no—
1313#123—138no—
1314C22⋊Q8—138no—
1315C22⋊Q8—138no—
1316C22⋊Q8—138no—
1317C22⋊Q8—138no—
1318C22⋊Q8—138no—
1319C22⋊Q8—138no—
1320C22⋊Q8—138no—
1321C22⋊Q8—138no—
1322C22⋊Q8—138no—
1323C22⋊Q8—138no—
1324C22⋊Q8—138no—
1325C22⋊Q8—138no—
1326C22⋊Q8—138no—
1327C22⋊Q8—138no—
1328C22⋊Q8—138no—
1329C22⋊Q8—138no—
1330C22⋊Q8—138no—
1331C22⋊Q8—138no—
1332C22⋊Q8—138no—
1333C22⋊Q8—138no—
1334C22⋊Q8—138no—
1335C22⋊Q8—138no—
1336C22⋊Q8—138no—
1337C22⋊Q8—138no—
1338C22⋊Q8—138no—
1339C22⋊Q8—138no—
1340C22⋊Q8—138no—
1341C22⋊Q8—138no—
1342C22⋊Q8C22×D1318yes—
1343C22⋊Q8C22×D1318yes—
1344C22⋊Q8C22×D1318yes—
1345C22⋊Q8C22×D1318yescomplemented
1346C22⋊Q8C22×D1318yescomplemented
1347C22⋊Q8C22×D1318yescomplemented
1348#121—138no—
1349#121—138no—
1350#121—138no—
1351#121—138no—
1352#121—138no—
1353#121—138no—
1354#121—138no—
1355#121—138no—
1356#121—138no—
1357#121—138no—
1358#120—138no—
1359#120—138no—
1360#120—138no—
1361#120—138no—
1362C4×Q8—138no—
1363C4×Q8C22×D1318yescomplemented
1364C4×D4—138no—
1365C4×D4—138no—
1366C4×D4—138no—
1367C4×D4—138no—
1368C4×D4—138no—
1369C4×D4—138no—
1370C4×D4—138no—
1371C4×D4—138no—
1372C4×D4—138no—
1373C4×D4—138no—
1374C4×D4—138no—
1375C4×D4C22×D1318yes—
1376C4×D4C22×D1318yes—
1377C4×D4C22×D1318yes—
1378#117—138no—
1379#117—138no—
1380#117—138no—
1381#117—138no—
1382#117—138no—
1383#117—138no—
1384#117—138no—
1385C2×C4⋊C4—131no—
1386C2×C4⋊C4—131no—
1387C2×C4⋊C4—131no—
1388C2×C4⋊C4—131no—
1389C2×C4⋊C4—131no—
1390C2×C4⋊C4—131no—
1391C2×C4⋊C4—131no—
1392C2×C4⋊C4—131no—
1393C2×C4⋊C4—131no—
1394C2×C4⋊C4—131no—
1395C2×C4⋊C4—131no—
1396C2×C4⋊C4—131no—
1397C2×C4⋊C4—131no—
1398C2×C4⋊C4—131no—
1399C2×C4⋊C4—131no—
1400C2×C4⋊C4—138no—
1401C2×C4⋊C4—131no—
1402C2×C4⋊C4—131no—
1403C2×C4⋊C4—131no—
1404C2×C4⋊C4—131no—
1405C2×C4⋊C4—131no—
1406C2×C4⋊C4—131no—
1407C2×C4⋊C4—131no—
1408C2×C4⋊C4—131no—
1409C2×C4⋊C4—131no—
1410C2×C4⋊C4—131no—
1411C2×C4⋊C4—131no—
1412C2×C4⋊C4—131no—
1413C2×C4⋊C4—131no—
1414C2×C4⋊C4—131no—
1415C2×C4⋊C4—131no—
1416C2×C4⋊C4—131no—
1417C2×C4⋊C4—131no—
1418C2×C4⋊C4—131no—
1419C2×C4⋊C4—131no—
1420C2×C4⋊C4—138no—
1421C2×C4⋊C4—138no—
1422C2×C4⋊C4—138no—
1423C2×C4⋊C4—138no—
1424C2×C4⋊C4C22×D1311yescharacteristic
1425C2×C4⋊C4C22×D1311yescharacteristic
1426C2×C4⋊C4C22×D1311yescharacteristic
1427C2×C4⋊C4C22×D1311yescharacteristic
1428C2×C4⋊C4C22×D1311yescharacteristic
1429C2×C4⋊C4C22×D1311yescharacteristic
1430C2×C4⋊C4C22×D1311yescharacteristic
1431C2×C4⋊C4C22×D1318yes—
1432C2×C4⋊C4C22×D1311yescharacteristic
1433C2×C4⋊C4C22×D1311yescharacteristic
1434C2×C4⋊C4C22×D1311yescharacteristic
1435C2×C4⋊C4C22×D1311yescharacteristic
1436C2×C4⋊C4C22×D1311yescharacteristic
1437C2×C4⋊C4C22×D1311yescharacteristic
1438C2×C4⋊C4C22×D1311yescharacteristic
1439C2×C4⋊C4C22×D1311yescharacteristic
1440C2×C4⋊C4C22×D1311yescharacteristic
1441C2×C4⋊C4C22×D1318yescomplemented
1442C2×C22⋊C4—131no—
1443C2×C22⋊C4—131no—
1444C2×C22⋊C4—131no—
1445C2×C22⋊C4—131no—
1446C2×C22⋊C4—131no—
1447C2×C22⋊C4—131no—
1448C2×C22⋊C4—131no—
1449C2×C22⋊C4—131no—
1450C2×C22⋊C4—131no—
1451C2×C22⋊C4—131no—
1452C2×C22⋊C4—131no—
1453C2×C22⋊C4—131no—
1454C2×C22⋊C4—131no—
1455C2×C22⋊C4—131no—
1456C2×C22⋊C4—131no—
1457C2×C22⋊C4—131no—
1458C2×C22⋊C4—131no—
1459C2×C22⋊C4—131no—
1460C2×C22⋊C4—131no—
1461C2×C22⋊C4—131no—
1462C2×C22⋊C4—131no—
1463C2×C22⋊C4—131no—
1464C2×C22⋊C4—131no—
1465C2×C22⋊C4—131no—
1466C2×C22⋊C4—131no—
1467C2×C22⋊C4—131no—
1468C2×C22⋊C4—138no—
1469C2×C22⋊C4—138no—
1470C2×C22⋊C4—138no—
1471C2×C22⋊C4—131no—
1472C2×C22⋊C4—131no—
1473C2×C22⋊C4—131no—
1474C2×C22⋊C4—131no—
1475C2×C22⋊C4—131no—
1476C2×C22⋊C4—131no—
1477C2×C22⋊C4—131no—
1478C2×C22⋊C4—131no—
1479C2×C22⋊C4—131no—
1480C2×C22⋊C4—131no—
1481C2×C22⋊C4—131no—
1482C2×C22⋊C4—131no—
1483C2×C22⋊C4—131no—
1484C2×C22⋊C4—131no—
1485C2×C22⋊C4—138no—
1486C2×C22⋊C4—138no—
1487C2×C22⋊C4—138no—
1488C2×C22⋊C4—138no—
1489C2×C22⋊C4C22×D1311yescharacteristic
1490C2×C22⋊C4C22×D1311yescharacteristic
1491C2×C22⋊C4C22×D1311yescharacteristic
1492C2×C22⋊C4C22×D1311yescharacteristic
1493C2×C22⋊C4C22×D1311yescharacteristic
1494C2×C22⋊C4C22×D1311yescharacteristic
1495C2×C42—131no—
1496C2×C42—131no—
1497C2×C42—131no—
1498C2×C42—131no—
1499C2×C42—131no—
1500C2×C42—131no—
1501C2×C42—131no—
1502C2×C42C22×D1311yescharacteristic
1503C2×C42C22×D1311yescharacteristic
1504C2×C42C22×D1311yescharacteristic
1505C2×C13—24no—
1506C2×C13—42no—
1507C2×C13#353514yescomplemented
1508C2×C13C22×H(5,𝔽2)11yescharacteristic
1509C2×C13C22×2−1+411yescharacteristic
1510C2×C13C2×#58511yescharacteristic
1511D13—24no—
1512D13—42no—
1513D13—42no—
1514D13—42no—
1515D13—42no—
1516C24—131no—
1517C24—131no—
1518C24—131no—
1519C24—131no—
1520C24—131no—
1521C24—134no—
1522C24—134no—
1523C24—264no—
1524C24—264no—
1525C24—264no—
1526C24—522no—
1527C24—522no—
1528C24—522no—
1529C24C23×D1311yescharacteristic
1530C24C23×D1311yescharacteristic
1531#41—5216no—
1532#41—5216no—
1533#41—5216no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—134no—
1538C2×Q8—134no—
1539C2×Q8—134no—
1540C2×Q8—134no—
1541C2×Q8—134no—
1542C2×Q8—134no—
1543C2×Q8—522no—
1544C2×Q8—522no—
1545C2×Q8—522no—
1546C2×Q8—522no—
1547C2×Q8—522no—
1548C2×Q8—522no—
1549C2×Q8—5216no—
1550C2×Q8C23×D1314yes—
1551C2×Q8C23×D1314yes—
1552C2×Q8C23×D1314yes—
1553C2×D4—24no—
1554C2×D4—134no—
1555C2×D4—134no—
1556C2×D4—134no—
1557C2×D4—134no—
1558C2×D4—134no—
1559C2×D4—134no—
1560C2×D4—134no—
1561C2×D4—134no—
1562C2×D4—134no—
1563C2×D4—134no—
1564C2×D4—134no—
1565C2×D4—134no—
1566C2×D4—134no—
1567C2×D4—134no—
1568C2×D4—264no—
1569C2×D4—264no—
1570C2×D4—264no—
1571C2×D4—264no—
1572C2×D4—264no—
1573C2×D4—522no—
1574C2×D4—522no—
1575C2×D4—522no—
1576C2×D4—522no—
1577C2×D4—522no—
1578C2×D4—5216no—
1579C2×D4—522no—
1580C2×D4—522no—
1581C2×D4—522no—
1582C2×D4—522no—
1583C2×D4C23×D1314yes—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—134no—
1591C22×C4—131no—
1592C22×C4—131no—
1593C22×C4—131no—
1594C22×C4—131no—
1595C22×C4—131no—
1596C22×C4—131no—
1597C22×C4—131no—
1598C22×C4—131no—
1599C22×C4—131no—
1600C22×C4—131no—
1601C22×C4—131no—
1602C22×C4—134no—
1603C22×C4—134no—
1604C22×C4—134no—
1605C22×C4—134no—
1606C22×C4—134no—
1607C22×C4—134no—
1608C22×C4—134no—
1609C22×C4—134no—
1610C22×C4—134no—
1611C22×C4—134no—
1612C22×C4—134no—
1613C22×C4—134no—
1614C22×C4—134no—
1615C22×C4—134no—
1616C22×C4—134no—
1617C22×C4—134no—
1618C22×C4—264no—
1619C22×C4—264no—
1620C22×C4—264no—
1621C22×C4—264no—
1622C22×C4—264no—
1623C22×C4—522no—
1624C22×C4—522no—
1625C22×C4—522no—
1626C22×C4—522no—
1627C22×C4—522no—
1628C22×C4—522no—
1629C22×C4—522no—
1630C22×C4—522no—
1631C22×C4—522no—
1632C22×C4—522no—
1633C22×C4—522no—
1634C22×C4—5216no—
1635C22×C4—522no—
1636C22×C4C23×D1311yescharacteristic
1637C22×C4C23×D1311yescharacteristic
1638C22×C4C23×D1311yescharacteristic
1639C22×C4C23×D1311yescharacteristic
1640C22×C4C23×D1311yescharacteristic
1641C22×C4C23×D1311yescharacteristic
1642C22×C4C23×D1311yescharacteristic
1643C22×C4C23×D1311yescharacteristic
1644C22×C4C23×D1311yescharacteristic
1645C22×C4C23×D1311yescharacteristic
1646C22×C4C23×D1311yescharacteristic
1647C22×C4C23×D1311yescharacteristic
1648C22×C4C23×D1311yescharacteristic
1649C22×C4C23×D1314yes—
1650C22×C4C23×D1314yes—
1651C22×C4C23×D1314yes—
1652C22×C4C23×D1314yes—
1653C22×C4C23×D1314yes—
1654C22×C4C23×D1314yes—
1655C4⋊C4—134no—
1656C4⋊C4—134no—
1657C4⋊C4—134no—
1658C4⋊C4—134no—
1659C4⋊C4—134no—
1660C4⋊C4—134no—
1661C4⋊C4—134no—
1662C4⋊C4—134no—
1663C4⋊C4—134no—
1664C4⋊C4—134no—
1665C4⋊C4—134no—
1666C4⋊C4—134no—
1667C4⋊C4—134no—
1668C4⋊C4—134no—
1669C4⋊C4—134no—
1670C4⋊C4—134no—
1671C4⋊C4—134no—
1672C4⋊C4—134no—
1673C4⋊C4—134no—
1674C4⋊C4—134no—
1675C4⋊C4—134no—
1676C4⋊C4—134no—
1677C4⋊C4—134no—
1678C4⋊C4—134no—
1679C4⋊C4—134no—
1680C4⋊C4—134no—
1681C4⋊C4—134no—
1682C4⋊C4—134no—
1683C4⋊C4—134no—
1684C4⋊C4—134no—
1685C4⋊C4—134no—
1686C4⋊C4—134no—
1687C4⋊C4—134no—
1688C4⋊C4—134no—
1689C4⋊C4C23×D1314yes—
1690C4⋊C4C23×D1314yes—
1691C4⋊C4C23×D1314yes—
1692C4⋊C4C23×D1314yes—
1693C4⋊C4C23×D1314yes—
1694C4⋊C4C23×D1314yes—
1695C4⋊C4C23×D1314yes—
1696C4⋊C4C23×D1314yes—
1697C4⋊C4C23×D1314yes—
1698C4⋊C4C23×D1314yes—
1699C4⋊C4C23×D1314yes—
1700C4⋊C4C23×D1314yes—
1701C4⋊C4C23×D1314yes—
1702C4⋊C4C23×D1314yes—
1703C4⋊C4C23×D1314yes—
1704C4⋊C4C23×D1314yes—
1705C22⋊C4—134no—
1706C22⋊C4—134no—
1707C22⋊C4—134no—
1708C22⋊C4—134no—
1709C22⋊C4—134no—
1710C22⋊C4—134no—
1711C22⋊C4—134no—
1712C22⋊C4—134no—
1713C22⋊C4—134no—
1714C22⋊C4—134no—
1715C22⋊C4—134no—
1716C22⋊C4—134no—
1717C22⋊C4—134no—
1718C22⋊C4—134no—
1719C22⋊C4—134no—
1720C22⋊C4—134no—
1721C22⋊C4—134no—
1722C22⋊C4—134no—
1723C22⋊C4—134no—
1724C22⋊C4—134no—
1725C22⋊C4—134no—
1726C22⋊C4—134no—
1727C22⋊C4—134no—
1728C22⋊C4—134no—
1729C22⋊C4—134no—
1730C22⋊C4—134no—
1731C22⋊C4—134no—
1732C22⋊C4—134no—
1733C22⋊C4—134no—
1734C22⋊C4—134no—
1735C22⋊C4—134no—
1736C22⋊C4—134no—
1737C22⋊C4—134no—
1738C22⋊C4—134no—
1739C22⋊C4—134no—
1740C22⋊C4—134no—
1741C22⋊C4—134no—
1742C22⋊C4—134no—
1743C22⋊C4—134no—
1744C22⋊C4—134no—
1745C22⋊C4C23×D1314yes—
1746C22⋊C4C23×D1314yes—
1747C22⋊C4C23×D1314yes—
1748C22⋊C4C23×D1314yes—
1749C22⋊C4C23×D1314yes—
1750C22⋊C4C23×D1314yes—
1751C42—134no—
1752C42—134no—
1753C42—134no—
1754C42—134no—
1755C42—134no—
1756C42—134no—
1757C42—134no—
1758C42C23×D1314yes—
1759C42C23×D1314yes—
1760C42C23×D1314yes—
1761C13C2×#353511yescharacteristic, complemented, Sylow
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—134no—
1768C23—132no—
1769C23—132no—
1770C23—132no—
1771C23—132no—
1772C23—132no—
1773C23—268no—
1774C23—262no—
1775C23—262no—
1776C23—262no—
1777C23—268no—
1778C23—262no—
1779C23—262no—
1780C23—262no—
1781C23—262no—
1782C23—262no—
1783C23—262no—
1784C23—262no—
1785C23—262no—
1786C23—262no—
1787C23—262no—
1788C23—262no—
1789C23—268no—
1790C23—524no—
1791C23—524no—
1792C23—524no—
1793C23—5216no—
1794C23—1048no—
1795C23#8825414yes—
1796C23C24×D1312yes—
1797C23C24×D1312yes—
1798C23C24×D1311yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—44no—
1802Q8—524no—
1803Q8—524no—
1804Q8—524no—
1805Q8—524no—
1806Q8—524no—
1807Q8—524no—
1808D4—28no—
1809D4—268no—
1810D4—268no—
1811D4—268no—
1812D4—268no—
1813D4—268no—
1814D4—524no—
1815D4—524no—
1816D4—524no—
1817D4—524no—
1818D4—524no—
1819D4—524no—
1820D4—524no—
1821D4—524no—
1822D4—524no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—44no—
1842C2×C4—132no—
1843C2×C4—132no—
1844C2×C4—132no—
1845C2×C4—132no—
1846C2×C4—132no—
1847C2×C4—132no—
1848C2×C4—132no—
1849C2×C4—132no—
1850C2×C4—132no—
1851C2×C4—132no—
1852C2×C4—132no—
1853C2×C4—268no—
1854C2×C4—268no—
1855C2×C4—268no—
1856C2×C4—268no—
1857C2×C4—268no—
1858C2×C4—262no—
1859C2×C4—262no—
1860C2×C4—262no—
1861C2×C4—262no—
1862C2×C4—262no—
1863C2×C4—262no—
1864C2×C4—262no—
1865C2×C4—262no—
1866C2×C4—262no—
1867C2×C4—262no—
1868C2×C4—262no—
1869C2×C4—524no—
1870C2×C4—524no—
1871C2×C4—524no—
1872C2×C4—524no—
1873C2×C4—524no—
1874C2×C4—524no—
1875C2×C4—524no—
1876C2×C4—524no—
1877C2×C4—524no—
1878C2×C4—524no—
1879C2×C4—524no—
1880C2×C4—524no—
1881C2×C4C24×D1312yes—
1882C2×C4C24×D1312yes—
1883C2×C4C24×D1312yes—
1884C2×C4C24×D1312yes—
1885C2×C4C24×D1312yes—
1886C2×C4C24×D1312yes—
1887C2×C4C24×D1312yes—
1888C2×C4C24×D1312yes—
1889C2×C4C24×D1312yes—
1890C2×C4C24×D1312yes—
1891C2×C4C24×D1312yes—
1892C2×C4C24×D1312yes—
1893C2×C4C24×D1312yes—
1894C22—28no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—44no—
1901C22—134no—
1902C22—268no—
1903C22—262no—
1904C22—262no—
1905C22—262no—
1906C22—262no—
1907C22—262no—
1908C22—262no—
1909C22—262no—
1910C22—262no—
1911C22—262no—
1912C22—262no—
1913C22—262no—
1914C22—262no—
1915C22—262no—
1916C22—262no—
1917C22—5216no—
1918C22—524no—
1919C22—524no—
1920C22—524no—
1921C22—524no—
1922C22—1048no—
1923C22C2×#8825414yes—
1924C22C2×#8825412yes—
1925C22#1171964812yes—
1926C22D13×H(5,𝔽2)12yes—
1927C22C25×D1311yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—22no—
1941C4—262no—
1942C4—262no—
1943C4—262no—
1944C4—262no—
1945C4—262no—
1946C4—262no—
1947C4—262no—
1948C4—262no—
1949C4—262no—
1950C4—262no—
1951C4—262no—
1952C2—24no—
1953C2—42no—
1954C2—264no—
1955C2—522no—
1956C2—522no—
1957C2—522no—
1958C2—522no—
1959C2#1312904014yesdirect product factor
1960C2C2×D13×H(5,𝔽2)11yescharacteristic
1961C2C22×#8825411yescharacteristic
1962C2C2×#1171964811yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#554C2
socleC23×C13C25
hypercenterC2×#554D13
hypocenterC13C2×#3535
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
1. #13129040C2direct (N × H)
2. C2×#11719404C2semidirect
3. C2×#11719440C2semidirect
4. C2×#11719352C2semidirect
5. C2×#11719352C2semidirect
6. C2×#11719216C2semidirect
7. C2×#11719286C2semidirect
8. C2×#11719398C2semidirect
9. C2×#11719261C2semidirect
10. C2×#11719261C2semidirect
11. C2×#11719342C2semidirect
12. C2×#11719342C2semidirect
13. C2×#11719336C2semidirect
14. C2×#11719212C2semidirect
15. C2×#11719255C2semidirect
16. C2×#11719335C2semidirect
17. C2×#11719328C2semidirect
18. C2×#11719339C2semidirect
19. C2×#11719287C2semidirect
20. C2×#11719345C2semidirect
21. C2×#11719397C2semidirect
22. C2×#11719397C2semidirect
23. C2×#11719220C2semidirect
24. C2×#11719343C2semidirect
25. C2×#11719269C2semidirect
26. C2×#11719265C2semidirect
27. C2×#11719429C2semidirect
28. C2×#11719333C2semidirect
29. C2×#11719252C2semidirect
30. C22×#88148C2semidirect
31. C2×D13×C22⋊Q8C2semidirect
32. C2×C13×#554C2semidirect
34. C22×Q8×D13C22semidirect
36. C22×#6127C22semidirect
39. C13×#554C22semidirect
40. C2×C13×C4⋊Q8C22semidirect
41. C2×C13×#125C22semidirect
42. C2×C13×#125C22semidirect
46. C2×C13×C22⋊Q8C22semidirect
47. C2×C13×C22⋊Q8C22semidirect
48. C2×C13×C22⋊Q8C22semidirect
49. C2×C4×Q8×C13C22semidirect
54. C22×C13×C4⋊C4C22semidirect
56. C2×#88201C22semidirect
57. C2×#88201C22semidirect
58. C2×#88200C22semidirect
59. C2×#88200C22semidirect
60. C2×#88200C22semidirect
61. C2×#88200C22semidirect
62. C2×#88200C22semidirect
63. C2×#88198C22semidirect
64. C2×#88198C22semidirect
70. C2×#88184C22semidirect
71. C2×#88183C22semidirect
72. C2×#88183C22semidirect
73. C2×#88183C22semidirect
74. C2×#88183C22semidirect
78. C2×C4×C22⋊D13C22semidirect
79. C2×C4×C22⋊D13C22semidirect
80. C2×C4×C22⋊D13C22semidirect
87. C2×#88178C22semidirect
89. #11719440C22semidirect
90. #11719429C22semidirect
91. #11719404C22semidirect
92. #11719398C22semidirect
93. #11719397C22semidirect
94. #11719397C22semidirect
95. #11719352C22semidirect
96. #11719352C22semidirect
97. #11719345C22semidirect
98. #11719343C22semidirect
99. #11719342C22semidirect
100. #11719342C22semidirect
101. #11719339C22semidirect
102. #11719336C22semidirect
103. #11719335C22semidirect
104. #11719333C22semidirect
105. D13×C22⋊Q8C22semidirect
106. #11719328C22semidirect
107. #11719287C22semidirect
108. #11719286C22semidirect
109. #11719269C22semidirect
110. #11719265C22semidirect
111. #11719261C22semidirect
112. #11719261C22semidirect
113. #11719255C22semidirect
114. #11719252C22semidirect
115. #11719220C22semidirect
116. C2×#88152C22semidirect
117. C2×#88152C22semidirect
118. C2×#88152C22semidirect
119. C2×#88152C22semidirect
120. C2×#88152C22semidirect
121. C2×#88152C22semidirect
122. C2×#88152C22semidirect
123. #11719216C22semidirect
124. C2×#88151C22semidirect
125. C2×#88151C22semidirect
126. C2×#88151C22semidirect
127. C2×#88151C22semidirect
128. C2×#88150C22semidirect
129. C2×#88150C22semidirect
130. C2×#88150C22semidirect
131. C2×#88150C22semidirect
132. C2×#88150C22semidirect
133. C2×#88150C22semidirect
134. C2×#88150C22semidirect
135. C2×#88150C22semidirect
136. C2×#88150C22semidirect
137. C2×#88150C22semidirect
138. C2×#88150C22semidirect
139. C2×#88150C22semidirect
140. #11719212C22semidirect
156. C2×#88148C22semidirect
157. C2×#88148C22semidirect
158. C2×#88148C22semidirect
159. C2×#88148C22semidirect
160. C2×#88148C22semidirect
161. C2×#88148C22semidirect
162. C2×#88148C22semidirect
164. C2×#88147C22semidirect
165. C2×#88147C22semidirect
166. C2×#88146C22semidirect
167. C2×#88146C22semidirect
168. C2×C4⋊C4×D13C22semidirect
169. C2×C4⋊C4×D13C22semidirect
170. C2×C4⋊C4×D13C22semidirect
171. C2×C4⋊C4×D13C22semidirect
172. C2×#88143C22semidirect
173. C2×#88143C22semidirect
174. C2×#88143C22semidirect
175. C2×#88143C22semidirect
176. C2×#88143C22semidirect
177. C2×#88143C22semidirect
178. C2×#88143C22semidirect
179. C2×#88142C22semidirect
180. C2×#88142C22semidirect
181. C2×#88142C22semidirect
182. C2×#88141C22semidirect
184. C2×#88139C22semidirect
185. C2×#88139C22semidirect
186. C2×#88139C22semidirect
189. C2×#88138C22semidirect
190. C2×#88138C22semidirect
191. C2×#88137C22semidirect
192. C2×#88137C22semidirect
193. C2×#88137C22semidirect
194. C2×#88137C22semidirect
201. C2×#88133C22semidirect
207. C2×#88130C22semidirect
208. C2×#88130C22semidirect
209. C2×#88130C22semidirect
210. C2×#88130C22semidirect
212. C2×#88129C22semidirect
214. C2×C4×D52C22semidirect
215. C2×#88126C22semidirect
216. C2×#88126C22semidirect
217. C2×#88126C22semidirect
218. C2×#88124C22semidirect
242. C2×Q8×D13C23semidirect
246. C2×#6127C23semidirect
280. C13×C4⋊Q8C23semidirect
281. C13×#125C23semidirect
282. C13×#125C23semidirect
286. C13×C22⋊Q8C23semidirect
287. C13×C22⋊Q8C23semidirect
288. C13×C22⋊Q8C23semidirect
289. C4×Q8×C13C23semidirect
310. C2×C13×C4⋊C4C23semidirect
327. #88201C23semidirect
328. #88201C23semidirect
329. #88200C23semidirect
330. #88200C23semidirect
331. #88200C23semidirect
332. #88200C23semidirect
333. #88200C23semidirect
334. #88198C23semidirect
335. #88198C23semidirect
341. #88184C23semidirect
342. #88183C23semidirect
343. #88183C23semidirect
344. #88183C23semidirect
345. #88183C23semidirect
349. C4×C22⋊D13C23semidirect
350. C4×C22⋊D13C23semidirect
351. C4×C22⋊D13C23semidirect
400. #88178C23semidirect
435. #88152C23semidirect
436. #88152C23semidirect
437. #88152C23semidirect
438. #88152C23semidirect
439. #88152C23semidirect
440. #88152C23semidirect
441. #88152C23semidirect
442. #88151C23semidirect
443. #88151C23semidirect
444. #88151C23semidirect
445. #88151C23semidirect
446. #88150C23semidirect
447. #88150C23semidirect
448. #88150C23semidirect
449. #88150C23semidirect
450. #88150C23semidirect
451. #88150C23semidirect
452. #88150C23semidirect
453. #88150C23semidirect
454. #88150C23semidirect
455. #88150C23semidirect
456. #88150C23semidirect
457. #88150C23semidirect
473. #88148C23semidirect
474. #88148C23semidirect
475. #88148C23semidirect
476. #88148C23semidirect
477. #88148C23semidirect
478. #88148C23semidirect
480. #88147C23semidirect
481. #88147C23semidirect
482. #88146C23semidirect
483. #88146C23semidirect
484. C4⋊C4×D13C23semidirect
485. C4⋊C4×D13C23semidirect
486. C4⋊C4×D13C23semidirect
487. C4⋊C4×D13C23semidirect
488. #88143C23semidirect
489. #88143C23semidirect
490. #88143C23semidirect
491. #88143C23semidirect
492. #88143C23semidirect
493. #88143C23semidirect
494. #88143C23semidirect
495. #88142C23semidirect
496. #88142C23semidirect
497. #88142C23semidirect
498. #88141C23semidirect
500. #88139C23semidirect
501. #88139C23semidirect
502. #88139C23semidirect
505. #88138C23semidirect
506. #88138C23semidirect
507. #88137C23semidirect
508. #88137C23semidirect
509. #88137C23semidirect
510. #88137C23semidirect
517. #88133C23semidirect
523. #88130C23semidirect
524. #88130C23semidirect
525. #88130C23semidirect
526. #88130C23semidirect
528. #88129C23semidirect
530. C4×D52C23semidirect
531. #88126C23semidirect
532. #88126C23semidirect
533. #88126C23semidirect
534. #88124C23semidirect
787. C2×#554D13semidirect
956. #554C2×D13semidirect
984. C2×C4⋊Q8C2×D13semidirect
1005. C2×#125C2×D13semidirect
1006. C2×#125C2×D13semidirect
1077. C2×C22⋊Q8C2×D13semidirect
1078. C2×C22⋊Q8C2×D13semidirect
1079. C2×C22⋊Q8C2×D13semidirect
1095. C2×C4×Q8C2×D13semidirect
1123. C22×C4⋊C4C2×D13semidirect
1255. C4⋊Q8C22×D13semidirect
1276. #125C22×D13semidirect
1277. #125C22×D13semidirect
1345. C22⋊Q8C22×D13semidirect
1346. C22⋊Q8C22×D13semidirect
1347. C22⋊Q8C22×D13semidirect
1363. C4×Q8C22×D13semidirect
1441. C2×C4⋊C4C22×D13semidirect
1507. C2×C13#3535semidirect
1761. C13C2×#3535semidirect
1959. C2#13129040direct (N × H)

Maximal subgroups

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

subgroupindex
#131290402
C2×#117194042
C2×#117194402
C2×#117193522
C2×#117192162
C2×#117192862
C2×#117193982
C2×#117192612
C2×#117193422
C2×#117193362
C2×#117192122
C2×#117192552
C2×#117193352
C2×#117193282
C2×#117193392
C2×#117192872
C2×#117193452
C2×#117193972
C2×#117192202
C2×#117193432
C2×#117192692
C2×#117192652
C2×#117194292
C2×#117193332
C2×#117192522
C22×#881482
C2×D13×C22⋊Q82
C2×C13×#5542
C2×#353513