Finite Group Databasebeta

← C2×#13129044 #16770127

Subgroups — C2×#13129044 #16770127

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#13129044C2132yesmaximal, direct product factor
2C2×#11719356C211yesmaximal, characteristic, complemented
3C2×#11719417C211yesmaximal, characteristic, complemented
4C2×#11719372C211yesmaximal, characteristic, complemented
5C2×#11719326C211yesmaximal, characteristic, complemented
6C2×#11719395C211yesmaximal, characteristic, complemented
7C2×#11719216C211yesmaximal, characteristic, complemented
8C2×#11719413C211yesmaximal, characteristic, complemented
9C2×#11719398C211yesmaximal, characteristic, complemented
10C2×#11719261C211yesmaximal, characteristic, complemented
11C2×#11719364C211yesmaximal, characteristic, complemented
12C2×#11719410C211yesmaximal, characteristic, complemented
13C2×#11719410C211yesmaximal, characteristic, complemented
14C2×#11719256C211yesmaximal, characteristic, complemented
15C2×#11719212C211yesmaximal, characteristic, complemented
16C2×#11719317C211yesmaximal, characteristic, complemented
17C2×#11719359C211yesmaximal, characteristic, complemented
18C2×#11719394C211yesmaximal, characteristic, complemented
19C2×#11719339C211yesmaximal, characteristic, complemented
20C2×#11719367C211yesmaximal, characteristic, complemented
21C2×#11719266C211yesmaximal, characteristic, complemented
22C2×#11719397C211yesmaximal, characteristic, complemented
23C2×#11719343C211yesmaximal, characteristic, complemented
24C2×#11719343C211yesmaximal, characteristic, complemented
25C2×#11719365C211yesmaximal, characteristic, complemented
26C2×#11719362C211yesmaximal, characteristic, complemented
27C2×#11719333C211yesmaximal, characteristic, complemented
28C2×#11719333C211yesmaximal, characteristic, complemented
29C2×#11719252C211yesmaximal, characteristic, complemented
30C2×D13×#123C211yesmaximal, characteristic, complemented
31C2×D13×C22⋊Q8C211yesmaximal, characteristic, complemented
32C2×C13×#539C211yesmaximal, characteristic, complemented
33C22×Q8×D13C2211yescharacteristic, complemented
34C22×D4×D13C2211yescharacteristic
35C22×#6127C2211yescharacteristic
36C22×#6127C2211yescharacteristic
37C22×#6127C2211yescharacteristic, complemented
38C23×C4×D13C2211yescharacteristic
39C13×#539C22116yescomplemented
40C2×C13×#126C2211yescharacteristic, complemented
41C2×C13×#126C2211yescharacteristic, complemented
42C2×C13×#125C2211yescharacteristic, complemented
43C2×C13×#125C2211yescharacteristic, complemented
44C2×C13×#123C2211yescharacteristic
45C2×C13×#123C2211yescharacteristic
46C2×C13×#123C2211yescharacteristic, complemented
47C2×C13×#123C2211yescharacteristic, complemented
48C2×C13×C22⋊Q8C2211yescharacteristic, complemented
49C2×C13×C22⋊Q8C2211yescharacteristic, complemented
50C2×C13×C22⋊Q8C2211yescharacteristic, complemented
51C2×C13×#121C2211yescharacteristic
52C2×C4×D4×C13C2211yescharacteristic, complemented
53C2×C4×D4×C13C2211yescharacteristic, complemented
54C22×C13×C4⋊C4C2211yescharacteristic, complemented
55C2×#88200C2211yescharacteristic
56C2×#88200C2211yescharacteristic, complemented
57C2×#88200C2211yescharacteristic, complemented
58C2×#88193C2211yescharacteristic
59C2×#88193C2211yescharacteristic, complemented
60C2×#88192C2211yescharacteristic
61C2×#88192C2211yescharacteristic
62C2×#88192C2211yescharacteristic, complemented
63C2×#88191C2211yescharacteristic
64C2×#88191C2211yescharacteristic
65C2×#88190C2211yescharacteristic
66C2×#88190C2211yescharacteristic, complemented
67C2×#88189C2211yescharacteristic
68C2×#88189C2211yescharacteristic, complemented
69C2×#88184C2211yescharacteristic, complemented
70C2×#88183C2211yescharacteristic
71C2×#88183C2211yescharacteristic, complemented
72C2×#88183C2211yescharacteristic, complemented
73C2×C4×C22⋊D13C2211yescharacteristic
74C2×C4×C22⋊D13C2211yescharacteristic
75C2×C4×C22⋊D13C2211yescharacteristic
76C2×C4×C22⋊D13C2211yescharacteristic, complemented
77C2×C4×C22⋊D13C2211yescharacteristic, complemented
78C22×#6103C2211yescharacteristic
79C2×#88178C2211yescharacteristic, complemented
80C2×#88178C2211yescharacteristic, complemented
81C2×#88178C2211yescharacteristic, complemented
82C2×#88178C2211yescharacteristic, complemented
83C2×#88178C2211yescharacteristic, complemented
84C2×#88178C2211yescharacteristic, complemented
85#11719417C22116yescomplemented
86#11719413C22116yescomplemented
87#11719410C22116yescomplemented
88#11719410C22116yescomplemented
89#11719398C22116yescomplemented
90#11719397C22116yescomplemented
91#11719395C22116yescomplemented
92#11719394C22116yescomplemented
93#11719372C22116yescomplemented
94#11719367C22116yescomplemented
95#11719365C22116yescomplemented
96#11719364C22116yescomplemented
97#11719362C22116yescomplemented
98#11719359C22116yescomplemented
99D13×#123C22116yescomplemented
100#11719356C22116yescomplemented
101#11719343C22116yescomplemented
102#11719343C22116yescomplemented
103#11719339C22116yescomplemented
104#11719333C22116yescomplemented
105#11719333C22116yescomplemented
106D13×C22⋊Q8C22116yescomplemented
107#11719326C22116yescomplemented
108#11719317C22116yescomplemented
109#11719266C22116yescomplemented
110#11719261C22116yescomplemented
111#11719256C22116yescomplemented
112#11719252C22116yescomplemented
113C2×#88152C2211yescharacteristic, complemented
114C2×#88152C2211yescharacteristic, complemented
115C2×#88152C2211yescharacteristic, complemented
116#11719216C22116yescomplemented
117C2×#88151C2211yescharacteristic
118C2×#88151C2211yescharacteristic
119C2×#88151C2211yescharacteristic
120C2×#88151C2211yescharacteristic, complemented
121C2×#88151C2211yescharacteristic, complemented
122C2×#88151C2211yescharacteristic, complemented
123C2×#88150C2211yescharacteristic
124C2×#88150C2211yescharacteristic
125C2×#88150C2211yescharacteristic
126C2×#88150C2211yescharacteristic
127C2×#88150C2211yescharacteristic
128C2×#88150C2211yescharacteristic, complemented
129C2×#88150C2211yescharacteristic, complemented
130C2×#88150C2211yescharacteristic, complemented
131C2×#88150C2211yescharacteristic, complemented
132C2×#88150C2211yescharacteristic, complemented
133C2×#88150C2211yescharacteristic, complemented
134#11719212C22116yescomplemented
135C2×#88149C2211yescharacteristic
136C2×#88148C2211yescharacteristic
137C2×#88148C2211yescharacteristic
138C2×#88148C2211yescharacteristic
139C2×#88148C2211yescharacteristic
140C2×#88148C2211yescharacteristic, complemented
141C2×#88148C2211yescharacteristic, complemented
142C2×#88148C2211yescharacteristic, complemented
143C2×#88148C2211yescharacteristic, complemented
144C2×#88147C2211yescharacteristic
145C2×#88147C2211yescharacteristic
146C2×#88147C2211yescharacteristic
147C2×#88147C2211yescharacteristic, complemented
148C2×#88146C2211yescharacteristic
149C2×#88146C2211yescharacteristic, complemented
150C2×#88146C2211yescharacteristic, complemented
151C2×C4⋊C4×D13C2211yescharacteristic
152C2×C4⋊C4×D13C2211yescharacteristic
153C2×C4⋊C4×D13C2211yescharacteristic, complemented
154C2×C4⋊C4×D13C2211yescharacteristic, complemented
155C2×C4⋊C4×D13C2211yescharacteristic, complemented
156C2×C4⋊C4×D13C2211yescharacteristic, complemented
157C2×#88144C2211yescharacteristic, complemented
158C2×#88144C2211yescharacteristic, complemented
159C2×#88143C2211yescharacteristic, complemented
160C2×#88143C2211yescharacteristic, complemented
161C2×#88143C2211yescharacteristic, complemented
162C2×#88143C2211yescharacteristic, complemented
163C2×#88143C2211yescharacteristic, complemented
164C2×#88143C2211yescharacteristic, complemented
165C2×#88142C2211yescharacteristic, complemented
166C2×#88142C2211yescharacteristic, complemented
167C2×#88142C2211yescharacteristic, complemented
168C2×#88142C2211yescharacteristic, complemented
169C2×#88142C2211yescharacteristic, complemented
170C2×#88141C2211yescharacteristic, complemented
171C2×#88140C2211yescharacteristic
172C2×#88139C2211yescharacteristic
173C2×#88139C2211yescharacteristic, complemented
174C2×#88139C2211yescharacteristic, complemented
175C2×#88139C2211yescharacteristic, complemented
176C2×#88139C2211yescharacteristic, complemented
177C2×#88139C2211yescharacteristic, complemented
178C2×#88138C2211yescharacteristic
179C2×#88138C2211yescharacteristic
180C2×#88137C2211yescharacteristic
181C2×#88137C2211yescharacteristic
182C2×#88137C2211yescharacteristic
183C2×#88137C2211yescharacteristic
184C2×#88137C2211yescharacteristic
185C2×#88137C2211yescharacteristic, complemented
186C2×#88137C2211yescharacteristic, complemented
187C2×#88137C2211yescharacteristic, complemented
188C2×#88137C2211yescharacteristic, complemented
189C2×#88137C2211yescharacteristic, complemented
190C2×#88136C2211yescharacteristic
191C2×#88136C2211yescharacteristic
192C2×#88135C2211yescharacteristic
193C2×C22⋊C4×D13C2211yescharacteristic
194C2×C22⋊C4×D13C2211yescharacteristic
195C2×C22⋊C4×D13C2211yescharacteristic
196C2×C22⋊C4×D13C2211yescharacteristic
197C2×C22⋊C4×D13C2211yescharacteristic
198C2×C22⋊C4×D13C2211yescharacteristic
199C2×#88133C2211yescharacteristic, complemented
200C2×#88133C2211yescharacteristic, complemented
201C2×#88133C2211yescharacteristic, complemented
202C2×#88133C2211yescharacteristic, complemented
203C2×#88133C2211yescharacteristic, complemented
204C2×#88133C2211yescharacteristic, complemented
205C2×#88132C2211yescharacteristic, complemented
206C2×#88132C2211yescharacteristic, complemented
207C2×#88132C2211yescharacteristic, complemented
208C2×#88132C2211yescharacteristic, complemented
209C2×#88132C2211yescharacteristic, complemented
210C2×#88131C2211yescharacteristic, complemented
211C2×#88130C2211yescharacteristic, complemented
212C2×C4×D52C2211yescharacteristic
213C2×C4×D52C2211yescharacteristic, complemented
214C2×#88126C2211yescharacteristic
215C2×#88126C2211yescharacteristic, complemented
216C2×#88126C2211yescharacteristic, complemented
217C2×#88123C2211yescharacteristic, complemented
218C2×C4×Dic26C2211yescharacteristic, complemented
219C24×D13C2311yescharacteristic
220C24×D13C2311yescharacteristic
221C22×Q8×C13C2311yescharacteristic
222C22×D4×C13C2311yescharacteristic
223C22×D4×C13C2311yescharacteristic
224C22×D4×C13C2311yescharacteristic
225C23×C4×C13C2311yescharacteristic
226C23×C4×C13C2311yescharacteristic
227C23×C4×C13C2311yescharacteristic
228C23×C4×C13C2311yescharacteristic
229C23×C4×C13C2311yescharacteristic
230C22×C22⋊D13C2311yescharacteristic
231C22×C22⋊D13C2311yescharacteristic
232C22×C22⋊D13C2311yescharacteristic
233C22×C22⋊D13C2311yescharacteristic
234C22×C22⋊D13C2311yescharacteristic
235C22×C22⋊D13C2311yescharacteristic
236C22×C22⋊D13C2311yescharacteristic
237C22×C22⋊D13C2311yescharacteristic
238C23×Dic13C2311yescharacteristic
239C23×Dic13C2311yescharacteristic
240C2×Q8×D13—44no—
241C2×Q8×D13C2318yescomplemented
242C2×D4×D13—44no—
243C2×D4×D13C2318yes—
244C2×#6127—44no—
245C2×#6127—44no—
246C2×#6127—44no—
247C2×#6127C2318yes—
248C2×#6127C2318yes—
249C2×#6127C2318yescomplemented
250C22×D52C2311yescharacteristic
251C22×D52C2311yescharacteristic
252C22×D52C2311yescharacteristic
253C22×D52C2311yescharacteristic
254C22×C4×D13—44no—
255C22×C4×D13C2311yescharacteristic
256C22×C4×D13C2311yescharacteristic
257C22×C4×D13C2311yescharacteristic
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×D13C2318yes—
272C22×Dic26C2311yescharacteristic
273C22×Dic26C2311yescharacteristic
274C22×Dic26C2311yescharacteristic
275C22×Dic26C2311yescharacteristic
276C22×Dic26C2311yescharacteristic
277C22×Dic26C2311yescharacteristic
278C22×Dic26C2311yescharacteristic
279C22×Dic26C2311yescharacteristic
280C13×#126C2318yescomplemented
281C13×#126C2318yescomplemented
282C13×#125C2318yescomplemented
283C13×#125C2318yescomplemented
284C13×#123C2318yes—
285C13×#123C2318yes—
286C13×#123C2318yescomplemented
287C13×#123C2318yescomplemented
288C13×C22⋊Q8C2318yescomplemented
289C13×C22⋊Q8C2318yescomplemented
290C13×C22⋊Q8C2318yescomplemented
291C13×#121C2318yes—
292C4×D4×C13C2318yescomplemented
293C4×D4×C13C2318yescomplemented
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⋊C4C2311yescharacteristic
307C2×C13×C4⋊C4C2311yescharacteristic
308C2×C13×C4⋊C4C2318yescomplemented
309C2×C13×C22⋊C4C2311yescharacteristic
310C2×C13×C22⋊C4C2311yescharacteristic
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×C13×C22⋊C4C2311yescharacteristic
318C2×C13×C22⋊C4C2311yescharacteristic
319C2×C42×C13C2311yescharacteristic
320C2×C42×C13C2311yescharacteristic
321C2×C22⋊Dic13C2311yescharacteristic
322C2×C22⋊Dic13C2311yescharacteristic
323C2×C22⋊Dic13C2311yescharacteristic
324C2×C22⋊Dic13C2311yescharacteristic
325C2×C22⋊Dic13C2311yescharacteristic
326C2×C22⋊Dic13C2311yescharacteristic
327C2×C22⋊Dic13C2311yescharacteristic
328C2×C22⋊Dic13C2311yescharacteristic
329C2×C22⋊Dic13C2311yescharacteristic
330C2×C22⋊Dic13C2311yescharacteristic
331C2×C22⋊Dic13C2311yescharacteristic
332C2×C22⋊Dic13C2311yescharacteristic
333#88200C2318yes—
334#88200C2318yescomplemented
335#88200C2318yescomplemented
336#88193C2318yes—
337#88193C2318yescomplemented
338#88192C2318yes—
339#88192C2318yes—
340#88192C2318yescomplemented
341#88191C2318yes—
342#88191C2318yes—
343#88190C2318yes—
344#88190C2318yescomplemented
345#88189C2318yes—
346#88189C2318yescomplemented
347#88184C2318yescomplemented
348#88183C2318yes—
349#88183C2318yescomplemented
350#88183C2318yescomplemented
351C4×C22⋊D13C2318yes—
352C4×C22⋊D13C2318yes—
353C4×C22⋊D13C2318yes—
354C4×C22⋊D13C2318yescomplemented
355C4×C22⋊D13C2318yescomplemented
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×#6103C2318yes—
381C2×C4⋊Dic13C2311yescharacteristic
382C2×C4⋊Dic13C2311yescharacteristic
383C2×C4⋊Dic13C2311yescharacteristic
384C2×C4⋊Dic13C2311yescharacteristic
385C2×C4⋊Dic13C2311yescharacteristic
386C2×C4⋊Dic13C2311yescharacteristic
387C2×C4⋊Dic13C2311yescharacteristic
388C2×C4⋊Dic13C2311yescharacteristic
389C2×C4⋊Dic13C2311yescharacteristic
390C2×C4⋊Dic13C2311yescharacteristic
391C2×C4⋊Dic13C2311yescharacteristic
392C2×C4⋊Dic13C2311yescharacteristic
393#88178C2318yescomplemented
394#88178C2318yescomplemented
395#88178C2318yescomplemented
396#88178C2318yescomplemented
397#88178C2318yescomplemented
398#88178C2318yescomplemented
399C2×#6101C2311yescharacteristic
400C2×#6101C2311yescharacteristic
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×C4×Dic13C2311yescharacteristic
424C2×C4×Dic13C2311yescharacteristic
425C2×C4×Dic13C2311yescharacteristic
426C2×C4×Dic13C2311yescharacteristic
427C2×C4×Dic13C2311yescharacteristic
428C2×C4×Dic13C2311yescharacteristic
429C2×C4×Dic13C2311yescharacteristic
430C2×C4×Dic13C2311yescharacteristic
431#88152C2318yescomplemented
432#88152C2318yescomplemented
433#88152C2318yescomplemented
434#88151C2318yes—
435#88151C2318yes—
436#88151C2318yes—
437#88151C2318yescomplemented
438#88151C2318yescomplemented
439#88151C2318yescomplemented
440#88150C2318yes—
441#88150C2318yes—
442#88150C2318yes—
443#88150C2318yes—
444#88150C2318yes—
445#88150C2318yescomplemented
446#88150C2318yescomplemented
447#88150C2318yescomplemented
448#88150C2318yescomplemented
449#88150C2318yescomplemented
450#88150C2318yescomplemented
451#88149C2318yes—
452#88148C2318yes—
453#88148C2318yes—
454#88148C2318yes—
455#88148C2318yes—
456#88148C2318yescomplemented
457#88148C2318yescomplemented
458#88148C2318yescomplemented
459#88148C2318yescomplemented
460#88147C2318yes—
461#88147C2318yes—
462#88147C2318yes—
463#88147C2318yescomplemented
464#88146C2318yes—
465#88146C2318yescomplemented
466#88146C2318yescomplemented
467C4⋊C4×D13C2318yes—
468C4⋊C4×D13C2318yes—
469C4⋊C4×D13C2318yescomplemented
470C4⋊C4×D13C2318yescomplemented
471C4⋊C4×D13C2318yescomplemented
472C4⋊C4×D13C2318yescomplemented
473#88144C2318yescomplemented
474#88144C2318yescomplemented
475#88143C2318yescomplemented
476#88143C2318yescomplemented
477#88143C2318yescomplemented
478#88143C2318yescomplemented
479#88143C2318yescomplemented
480#88143C2318yescomplemented
481#88142C2318yescomplemented
482#88142C2318yescomplemented
483#88142C2318yescomplemented
484#88142C2318yescomplemented
485#88142C2318yescomplemented
486#88141C2318yescomplemented
487#88140C2318yes—
488#88139C2318yes—
489#88139C2318yescomplemented
490#88139C2318yescomplemented
491#88139C2318yescomplemented
492#88139C2318yescomplemented
493#88139C2318yescomplemented
494#88138C2318yes—
495#88138C2318yes—
496#88137C2318yes—
497#88137C2318yes—
498#88137C2318yes—
499#88137C2318yes—
500#88137C2318yes—
501#88137C2318yescomplemented
502#88137C2318yescomplemented
503#88137C2318yescomplemented
504#88137C2318yescomplemented
505#88137C2318yescomplemented
506#88136C2318yes—
507#88136C2318yes—
508#88135C2318yes—
509C22⋊C4×D13C2318yes—
510C22⋊C4×D13C2318yes—
511C22⋊C4×D13C2318yes—
512C22⋊C4×D13C2318yes—
513C22⋊C4×D13C2318yes—
514C22⋊C4×D13C2318yes—
515#88133C2318yescomplemented
516#88133C2318yescomplemented
517#88133C2318yescomplemented
518#88133C2318yescomplemented
519#88133C2318yescomplemented
520#88133C2318yescomplemented
521#88132C2318yescomplemented
522#88132C2318yescomplemented
523#88132C2318yescomplemented
524#88132C2318yescomplemented
525#88132C2318yescomplemented
526#88131C2318yescomplemented
527#88130C2318yescomplemented
528C4×D52C2318yes—
529C4×D52C2318yescomplemented
530#88126C2318yes—
531#88126C2318yescomplemented
532#88126C2318yescomplemented
533#88123C2318yescomplemented
534C4×Dic26C2318yescomplemented
535C2×#3535—131nomaximal, Sylow
536C24×C13C2411yescharacteristic
537C24×C13C2411yescharacteristic
538C24×C13C2411yescharacteristic
539C23×D13—24no—
540C23×D13—24no—
541C23×D13—24no—
542C23×D13—42no—
543C23×D13—42no—
544C23×D13—42no—
545C23×D13C2411yescharacteristic
546C23×D13C2411yescharacteristic
547C23×D13C2414yes—
548C23×D13C2411yescharacteristic
549C23×D13C2411yescharacteristic
550C23×D13C2414yes—
551C2×Q8×C13—42no—
552C2×Q8×C13C2414yes—
553C2×D4×C13—42no—
554C2×D4×C13—42no—
555C2×D4×C13—42no—
556C2×D4×C13C2414yes—
557C2×D4×C13C2414yes—
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×C13C2411yescharacteristic
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×C13C2414yes—
577C22×C4×C13C2414yes—
578C22×C4×C13C2414yes—
579C22×C4×C13C2414yes—
580C22×C4×C13C2414yes—
581C2×C22⋊D13—24no—
582C2×C22⋊D13—24no—
583C2×C22⋊D13—24no—
584C2×C22⋊D13—42no—
585C2×C22⋊D13—42no—
586C2×C22⋊D13—42no—
587C2×C22⋊D13—42no—
588C2×C22⋊D13—42no—
589C2×C22⋊D13C2414yes—
590C2×C22⋊D13C2414yes—
591C2×C22⋊D13C2414yes—
592C2×C22⋊D13C2414yes—
593C2×C22⋊D13C2414yes—
594C2×C22⋊D13C2414yes—
595C2×C22⋊D13C2414yes—
596C2×C22⋊D13C2414yes—
597C22×Dic13—42no—
598C22×Dic13—42no—
599C22×Dic13C2411yescharacteristic
600C22×Dic13C2411yescharacteristic
601C22×Dic13C2411yescharacteristic
602C22×Dic13C2411yescharacteristic
603C22×Dic13C2411yescharacteristic
604C22×Dic13C2411yescharacteristic
605C22×Dic13C2411yescharacteristic
606C22×Dic13C2411yescharacteristic
607C22×Dic13C2411yescharacteristic
608C22×Dic13C2411yescharacteristic
609C22×Dic13C2411yescharacteristic
610C22×Dic13C2411yescharacteristic
611C22×Dic13C2414yes—
612C22×Dic13C2414yes—
613Q8×D13—416no—
614D4×D13—416no—
615#6127—416no—
616#6127—416no—
617#6127—416no—
618C2×D52—24no—
619C2×D52—24no—
620C2×D52—24no—
621C2×D52—42no—
622C2×D52C2414yes—
623C2×D52C2414yes—
624C2×D52C2414yes—
625C2×D52C2414yes—
626C2×C4×D13—24no—
627C2×C4×D13—24no—
628C2×C4×D13—24no—
629C2×C4×D13—24no—
630C2×C4×D13—24no—
631C2×C4×D13—416no—
632C2×C4×D13—42no—
633C2×C4×D13—42no—
634C2×C4×D13—42no—
635C2×C4×D13—42no—
636C2×C4×D13—42no—
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×D13C2414yes—
644C2×C4×D13C2414yes—
645C2×C4×D13C2414yes—
646C2×C4×D13C2414yes—
647C2×C4×D13C2414yes—
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×Dic26—42no—
660C2×Dic26—42no—
661C2×Dic26—42no—
662C2×Dic26—42no—
663C2×Dic26—42no—
664C2×Dic26—42no—
665C2×Dic26—42no—
666C2×Dic26—42no—
667C2×Dic26C2414yes—
668C2×Dic26C2414yes—
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×C22⋊C4C2414yes—
690C13×C22⋊C4C2414yes—
691C13×C22⋊C4C2414yes—
692C13×C22⋊C4C2414yes—
693C13×C22⋊C4C2414yes—
694C13×C22⋊C4C2414yes—
695C13×C22⋊C4C2414yes—
696C13×C22⋊C4C2414yes—
697C13×C22⋊C4C2414yes—
698C13×C22⋊C4C2414yes—
699C42×C13C2414yes—
700C42×C13C2414yes—
701C22⋊Dic13C2414yes—
702C22⋊Dic13C2414yes—
703C22⋊Dic13C2414yes—
704C22⋊Dic13C2414yes—
705C22⋊Dic13C2414yes—
706C22⋊Dic13C2414yes—
707C22⋊Dic13C2414yes—
708C22⋊Dic13C2414yes—
709C22⋊Dic13C2414yes—
710C22⋊Dic13C2414yes—
711C22⋊Dic13C2414yes—
712C22⋊Dic13C2414yes—
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—
737C4⋊Dic13C2414yes—
738C4⋊Dic13C2414yes—
739C4⋊Dic13C2414yes—
740C4⋊Dic13C2414yes—
741C4⋊Dic13C2414yes—
742C4⋊Dic13C2414yes—
743C4⋊Dic13C2414yes—
744C4⋊Dic13C2414yes—
745C4⋊Dic13C2414yes—
746C4⋊Dic13C2414yes—
747C4⋊Dic13C2414yes—
748C4⋊Dic13C2414yes—
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—
773C4×Dic13C2414yes—
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×#554—131no—
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×#539D1311yescharacteristic, complemented
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×C13—22no—
819C23×C13—22no—
820C23×C13—22no—
821C23×C13—22no—
822C23×C13C2512yes—
823C23×C13C2512yes—
824C23×C13C2512yes—
825C23×C13C2511yescharacteristic
826C22×D13—22no—
827C22×D13—22no—
828C22×D13—22no—
829C22×D13—22no—
830C22×D13—22no—
831C22×D13—22no—
832C22×D13—22no—
833C22×D13—22no—
834C22×D13—22no—
835C22×D13—22no—
836C22×D13—28no—
837C22×D13—28no—
838C22×D13—28no—
839C22×D13—44no—
840C22×D13—416no—
841C22×D13—44no—
842C22×D13—44no—
843C22×D13—88no—
844C22×D13H(5,𝔽2)14yes—
845C22×D132−1+414yes—
846C22×D13C2512yes—
847C22×D13C2512yes—
848C22×D13C2512yes—
849C22×D13C2512yes—
850Q8×C13—44no—
851D4×C13—44no—
852D4×C13—44no—
853D4×C13—44no—
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—44no—
867C2×C4×C13—44no—
868C2×C4×C13—44no—
869C2×C4×C13—44no—
870C2×C4×C13—44no—
871C2×C4×C13C2512yes—
872C2×C4×C13C2512yes—
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—
883C22⋊D13—28no—
884C22⋊D13—28no—
885C22⋊D13—28no—
886C22⋊D13—44no—
887C22⋊D13—44no—
888C22⋊D13—44no—
889C22⋊D13—44no—
890C22⋊D13—44no—
891C2×Dic13—22no—
892C2×Dic13—22no—
893C2×Dic13—22no—
894C2×Dic13—22no—
895C2×Dic13—22no—
896C2×Dic13—22no—
897C2×Dic13—22no—
898C2×Dic13—22no—
899C2×Dic13—22no—
900C2×Dic13—22no—
901C2×Dic13—22no—
902C2×Dic13—22no—
903C2×Dic13—44no—
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—
916C2×Dic13C2512yes—
917D52—28no—
918D52—28no—
919D52—28no—
920D52—44no—
921C4×D13—28no—
922C4×D13—28no—
923C4×D13—28no—
924C4×D13—28no—
925C4×D13—28no—
926C4×D13—44no—
927C4×D13—44no—
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—
937Dic26—44no—
938Dic26—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#554—1316no—
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#539C2×D13116yescomplemented
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⋊Q8—131no—
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×#126C2×D1311yescharacteristic, complemented
996C2×#126C2×D1311yescharacteristic, complemented
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—1316no—
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—131no—
1034C2×#123—131no—
1035C2×#123—131no—
1036C2×#123—131no—
1037C2×#123—131no—
1038C2×#123—131no—
1039C2×#123—131no—
1040C2×#123—131no—
1041C2×#123C2×D1311yescharacteristic
1042C2×#123C2×D1311yescharacteristic
1043C2×#123C2×D1311yescharacteristic, complemented
1044C2×#123C2×D1311yescharacteristic, complemented
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⋊Q8—131no—
1075C2×C22⋊Q8—131no—
1076C2×C22⋊Q8—131no—
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×#121C2×D1311yescharacteristic
1090C2×#120—131no—
1091C2×#120—131no—
1092C2×#120—131no—
1093C2×#120—131no—
1094C2×C4×Q8—131no—
1095C2×C4×Q8—131no—
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×D4—131no—
1108C2×C4×D4C2×D1311yescharacteristic, complemented
1109C2×C4×D4C2×D1311yescharacteristic, complemented
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⋊C4—131no—
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—22no—
1134C22×C13—22no—
1135C22×C13—22no—
1136C22×C13—22no—
1137C22×C13—22no—
1138C22×C13—22no—
1139C22×C13—22no—
1140C22×C13—44no—
1141C22×C13—44no—
1142C22×C13—44no—
1143C22×C13C2×H(5,𝔽2)12yes—
1144C22×C13C2×2−1+412yes—
1145C22×C13#58512yes—
1146C22×C13C2611yescharacteristic
1147C2×D13—22no—
1148C2×D13—22no—
1149C2×D13—22no—
1150C2×D13—22no—
1151C2×D13—28no—
1152C2×D13—28no—
1153C2×D13—22no—
1154C2×D13—22no—
1155C2×D13—22no—
1156C2×D13—22no—
1157C2×D13—22no—
1158C2×D13—22no—
1159C2×D13—416no—
1160C2×D13—44no—
1161C2×D13—44no—
1162C2×D13—88no—
1163C2×D13C2×H(5,𝔽2)14yes—
1164C2×D13C2×2−1+414yes—
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—
1177Dic13—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—131no—
1205C22×Q8—131no—
1206C22×Q8—524no—
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—138no—
1217C22×D4—131no—
1218C22×D4—131no—
1219C22×D4—131no—
1220C22×D4—131no—
1221C22×D4—524no—
1222C22×D4C22×D1311yescharacteristic
1223C22×D4C22×D1311yescharacteristic
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—131no—
1243C23×C4—138no—
1244C23×C4—524no—
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⋊Q8—138no—
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#126C22×D1318yescomplemented
1267#126C22×D1318yescomplemented
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#123C22×D1318yes—
1311#123C22×D1318yes—
1312#123C22×D1318yescomplemented
1313#123C22×D1318yescomplemented
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⋊Q8—138no—
1343C22⋊Q8—138no—
1344C22⋊Q8—138no—
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#121C22×D1318yes—
1358#120—138no—
1359#120—138no—
1360#120—138no—
1361#120—138no—
1362C4×Q8—138no—
1363C4×Q8—138no—
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×D4—138no—
1376C4×D4C22×D1318yescomplemented
1377C4×D4C22×D1318yescomplemented
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—131no—
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—131no—
1421C2×C4⋊C4—138no—
1422C2×C4⋊C4—138no—
1423C2×C4⋊C4—138no—
1424C2×C4⋊C4—138no—
1425C2×C4⋊C4—138no—
1426C2×C4⋊C4—138no—
1427C2×C4⋊C4C22×D1311yescharacteristic
1428C2×C4⋊C4C22×D1311yescharacteristic
1429C2×C4⋊C4C22×D1311yescharacteristic
1430C2×C4⋊C4C22×D1311yescharacteristic
1431C2×C4⋊C4C22×D1311yescharacteristic
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—131no—
1470C2×C22⋊C4—131no—
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—138no—
1480C2×C22⋊C4—138no—
1481C2×C22⋊C4—138no—
1482C2×C22⋊C4—138no—
1483C2×C22⋊C4—138no—
1484C2×C22⋊C4—138no—
1485C2×C22⋊C4C22×D1311yescharacteristic
1486C2×C22⋊C4C22×D1311yescharacteristic
1487C2×C22⋊C4C22×D1311yescharacteristic
1488C2×C22⋊C4C22×D1311yescharacteristic
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×C42—131no—
1503C2×C42C22×D1311yescharacteristic
1504C2×C42C22×D1311yescharacteristic
1505C2×C13—42no—
1506C2×C13—42no—
1507C2×C13—42no—
1508C2×C13#353514yescomplemented
1509C2×C13C22×H(5,𝔽2)11yescharacteristic
1510C2×C13C22×2−1+411yescharacteristic
1511C2×C13C2×#58511yescharacteristic
1512D13—24no—
1513D13—24no—
1514D13—42no—
1515D13—42no—
1516C24—131no—
1517C24—131no—
1518C24—131no—
1519C24—131no—
1520C24—134no—
1521C24—134no—
1522C24—264no—
1523C24—264no—
1524C24—264no—
1525C24—522no—
1526C24—522no—
1527C24—522no—
1528C24C23×D1311yescharacteristic
1529C24C23×D1311yescharacteristic
1530C24C23×D1311yescharacteristic
1531#41—5216no—
1532#41—5216no—
1533#41—5216no—
1534C2×Q8—42no—
1535C2×Q8—134no—
1536C2×Q8—134no—
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—522no—
1550C2×Q8—522no—
1551C2×Q8—5216no—
1552C2×Q8C23×D1314yes—
1553C2×D4—42no—
1554C2×D4—42no—
1555C2×D4—42no—
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—264no—
1574C2×D4—522no—
1575C2×D4—522no—
1576C2×D4—522no—
1577C2×D4—522no—
1578C2×D4—522no—
1579C2×D4—522no—
1580C2×D4—5216no—
1581C2×D4C23×D1314yes—
1582C2×D4C23×D1314yes—
1583C2×D4C23×D1314yes—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—131no—
1590C22×C4—131no—
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—134no—
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—134no—
1619C22×C4—264no—
1620C22×C4—264no—
1621C22×C4—264no—
1622C22×C4—264no—
1623C22×C4—264no—
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—522no—
1635C22×C4—5216no—
1636C22×C4—522no—
1637C22×C4—522no—
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×D1311yescharacteristic
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⋊C4—134no—
1690C4⋊C4—134no—
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⋊C4C23×D1314yes—
1742C22⋊C4C23×D1314yes—
1743C22⋊C4C23×D1314yes—
1744C22⋊C4C23×D1314yes—
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—
1758C42—134no—
1759C42C23×D1314yes—
1760C42C23×D1314yes—
1761C13C2×#353511yescharacteristic, complemented, Sylow
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—22no—
1771C23—134no—
1772C23—134no—
1773C23—132no—
1774C23—132no—
1775C23—132no—
1776C23—132no—
1777C23—268no—
1778C23—268no—
1779C23—268no—
1780C23—262no—
1781C23—262no—
1782C23—262no—
1783C23—262no—
1784C23—262no—
1785C23—262no—
1786C23—262no—
1787C23—262no—
1788C23—262no—
1789C23—262no—
1790C23—524no—
1791C23—524no—
1792C23—524no—
1793C23—5216no—
1794C23—1048no—
1795C23C24×D1312yes—
1796C23C24×D1312yes—
1797C23C24×D1312yes—
1798C23C24×D1311yescharacteristic
1799Q8—44no—
1800Q8—524no—
1801Q8—524no—
1802Q8—524no—
1803Q8—524no—
1804Q8—524no—
1805Q8—524no—
1806Q8—524no—
1807Q8—524no—
1808D4—44no—
1809D4—44no—
1810D4—44no—
1811D4—268no—
1812D4—268no—
1813D4—268no—
1814D4—268no—
1815D4—268no—
1816D4—268no—
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—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—132no—
1841C2×C4—132no—
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—268no—
1853C2×C4—268no—
1854C2×C4—268no—
1855C2×C4—268no—
1856C2×C4—268no—
1857C2×C4—262no—
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×C4—524no—
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—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—44no—
1904C22—44no—
1905C22—44no—
1906C22—134no—
1907C22—134no—
1908C22—268no—
1909C22—268no—
1910C22—262no—
1911C22—262no—
1912C22—262no—
1913C22—262no—
1914C22—262no—
1915C22—262no—
1916C22—262no—
1917C22—262no—
1918C22—262no—
1919C22—262no—
1920C22—5216no—
1921C22—524no—
1922C22—524no—
1923C22—1048no—
1924C22#1171964812yes—
1925C22D13×H(5,𝔽2)12yes—
1926C22D13×2−1+412yes—
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—262no—
1941C4—262no—
1942C4—262no—
1943C4—262no—
1944C4—262no—
1945C4—262no—
1946C4—262no—
1947C4—262no—
1948C4—262no—
1949C4—262no—
1950C4—262no—
1951C4—262no—
1952C2—42no—
1953C2—42no—
1954C2—42no—
1955C2—264no—
1956C2—264no—
1957C2—522no—
1958C2—522no—
1959C2#1312904414yesdirect product factor
1960C2C2×D13×H(5,𝔽2)11yescharacteristic
1961C2C2×D13×2−1+411yescharacteristic
1962C2C2×#1171964811yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#539C2
socleC23×C13C25
hypercenterC2×#539D13
hypocenterC13C2×#3535
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #13129044C2direct (N × H)
2. C2×#11719356C2semidirect
3. C2×#11719417C2semidirect
4. C2×#11719372C2semidirect
5. C2×#11719326C2semidirect
6. C2×#11719395C2semidirect
7. C2×#11719216C2semidirect
8. C2×#11719413C2semidirect
9. C2×#11719398C2semidirect
10. C2×#11719261C2semidirect
11. C2×#11719364C2semidirect
12. C2×#11719410C2semidirect
13. C2×#11719410C2semidirect
14. C2×#11719256C2semidirect
15. C2×#11719212C2semidirect
16. C2×#11719317C2semidirect
17. C2×#11719359C2semidirect
18. C2×#11719394C2semidirect
19. C2×#11719339C2semidirect
20. C2×#11719367C2semidirect
21. C2×#11719266C2semidirect
22. C2×#11719397C2semidirect
23. C2×#11719343C2semidirect
24. C2×#11719343C2semidirect
25. C2×#11719365C2semidirect
26. C2×#11719362C2semidirect
27. C2×#11719333C2semidirect
28. C2×#11719333C2semidirect
29. C2×#11719252C2semidirect
30. C2×D13×#123C2semidirect
31. C2×D13×C22⋊Q8C2semidirect
32. C2×C13×#539C2semidirect
33. C22×Q8×D13C22semidirect
37. C22×#6127C22semidirect
39. C13×#539C22semidirect
40. C2×C13×#126C22semidirect
41. C2×C13×#126C22semidirect
42. C2×C13×#125C22semidirect
43. C2×C13×#125C22semidirect
46. C2×C13×#123C22semidirect
47. C2×C13×#123C22semidirect
48. C2×C13×C22⋊Q8C22semidirect
49. C2×C13×C22⋊Q8C22semidirect
50. C2×C13×C22⋊Q8C22semidirect
52. C2×C4×D4×C13C22semidirect
53. C2×C4×D4×C13C22semidirect
54. C22×C13×C4⋊C4C22semidirect
56. C2×#88200C22semidirect
57. C2×#88200C22semidirect
59. C2×#88193C22semidirect
62. C2×#88192C22semidirect
66. C2×#88190C22semidirect
68. C2×#88189C22semidirect
69. C2×#88184C22semidirect
71. C2×#88183C22semidirect
72. C2×#88183C22semidirect
76. C2×C4×C22⋊D13C22semidirect
77. C2×C4×C22⋊D13C22semidirect
79. C2×#88178C22semidirect
80. C2×#88178C22semidirect
81. C2×#88178C22semidirect
82. C2×#88178C22semidirect
83. C2×#88178C22semidirect
84. C2×#88178C22semidirect
85. #11719417C22semidirect
86. #11719413C22semidirect
87. #11719410C22semidirect
88. #11719410C22semidirect
89. #11719398C22semidirect
90. #11719397C22semidirect
91. #11719395C22semidirect
92. #11719394C22semidirect
93. #11719372C22semidirect
94. #11719367C22semidirect
95. #11719365C22semidirect
96. #11719364C22semidirect
97. #11719362C22semidirect
98. #11719359C22semidirect
99. D13×#123C22semidirect
100. #11719356C22semidirect
101. #11719343C22semidirect
102. #11719343C22semidirect
103. #11719339C22semidirect
104. #11719333C22semidirect
105. #11719333C22semidirect
106. D13×C22⋊Q8C22semidirect
107. #11719326C22semidirect
108. #11719317C22semidirect
109. #11719266C22semidirect
110. #11719261C22semidirect
111. #11719256C22semidirect
112. #11719252C22semidirect
113. C2×#88152C22semidirect
114. C2×#88152C22semidirect
115. C2×#88152C22semidirect
116. #11719216C22semidirect
120. C2×#88151C22semidirect
121. C2×#88151C22semidirect
122. C2×#88151C22semidirect
128. C2×#88150C22semidirect
129. C2×#88150C22semidirect
130. C2×#88150C22semidirect
131. C2×#88150C22semidirect
132. C2×#88150C22semidirect
133. C2×#88150C22semidirect
134. #11719212C22semidirect
140. C2×#88148C22semidirect
141. C2×#88148C22semidirect
142. C2×#88148C22semidirect
143. C2×#88148C22semidirect
147. C2×#88147C22semidirect
149. C2×#88146C22semidirect
150. C2×#88146C22semidirect
153. C2×C4⋊C4×D13C22semidirect
154. C2×C4⋊C4×D13C22semidirect
155. C2×C4⋊C4×D13C22semidirect
156. C2×C4⋊C4×D13C22semidirect
157. C2×#88144C22semidirect
158. C2×#88144C22semidirect
159. C2×#88143C22semidirect
160. C2×#88143C22semidirect
161. C2×#88143C22semidirect
162. C2×#88143C22semidirect
163. C2×#88143C22semidirect
164. C2×#88143C22semidirect
165. C2×#88142C22semidirect
166. C2×#88142C22semidirect
167. C2×#88142C22semidirect
168. C2×#88142C22semidirect
169. C2×#88142C22semidirect
170. C2×#88141C22semidirect
173. C2×#88139C22semidirect
174. C2×#88139C22semidirect
175. C2×#88139C22semidirect
176. C2×#88139C22semidirect
177. C2×#88139C22semidirect
185. C2×#88137C22semidirect
186. C2×#88137C22semidirect
187. C2×#88137C22semidirect
188. C2×#88137C22semidirect
189. C2×#88137C22semidirect
199. C2×#88133C22semidirect
200. C2×#88133C22semidirect
201. C2×#88133C22semidirect
202. C2×#88133C22semidirect
203. C2×#88133C22semidirect
204. C2×#88133C22semidirect
205. C2×#88132C22semidirect
206. C2×#88132C22semidirect
207. C2×#88132C22semidirect
208. C2×#88132C22semidirect
209. C2×#88132C22semidirect
210. C2×#88131C22semidirect
211. C2×#88130C22semidirect
213. C2×C4×D52C22semidirect
215. C2×#88126C22semidirect
216. C2×#88126C22semidirect
217. C2×#88123C22semidirect
218. C2×C4×Dic26C22semidirect
241. C2×Q8×D13C23semidirect
249. C2×#6127C23semidirect
280. C13×#126C23semidirect
281. C13×#126C23semidirect
282. C13×#125C23semidirect
283. C13×#125C23semidirect
286. C13×#123C23semidirect
287. C13×#123C23semidirect
288. C13×C22⋊Q8C23semidirect
289. C13×C22⋊Q8C23semidirect
290. C13×C22⋊Q8C23semidirect
292. C4×D4×C13C23semidirect
293. C4×D4×C13C23semidirect
308. C2×C13×C4⋊C4C23semidirect
334. #88200C23semidirect
335. #88200C23semidirect
337. #88193C23semidirect
340. #88192C23semidirect
344. #88190C23semidirect
346. #88189C23semidirect
347. #88184C23semidirect
349. #88183C23semidirect
350. #88183C23semidirect
354. C4×C22⋊D13C23semidirect
355. C4×C22⋊D13C23semidirect
393. #88178C23semidirect
394. #88178C23semidirect
395. #88178C23semidirect
396. #88178C23semidirect
397. #88178C23semidirect
398. #88178C23semidirect
431. #88152C23semidirect
432. #88152C23semidirect
433. #88152C23semidirect
437. #88151C23semidirect
438. #88151C23semidirect
439. #88151C23semidirect
445. #88150C23semidirect
446. #88150C23semidirect
447. #88150C23semidirect
448. #88150C23semidirect
449. #88150C23semidirect
450. #88150C23semidirect
456. #88148C23semidirect
457. #88148C23semidirect
458. #88148C23semidirect
459. #88148C23semidirect
463. #88147C23semidirect
465. #88146C23semidirect
466. #88146C23semidirect
469. C4⋊C4×D13C23semidirect
470. C4⋊C4×D13C23semidirect
471. C4⋊C4×D13C23semidirect
472. C4⋊C4×D13C23semidirect
473. #88144C23semidirect
474. #88144C23semidirect
475. #88143C23semidirect
476. #88143C23semidirect
477. #88143C23semidirect
478. #88143C23semidirect
479. #88143C23semidirect
480. #88143C23semidirect
481. #88142C23semidirect
482. #88142C23semidirect
483. #88142C23semidirect
484. #88142C23semidirect
485. #88142C23semidirect
486. #88141C23semidirect
489. #88139C23semidirect
490. #88139C23semidirect
491. #88139C23semidirect
492. #88139C23semidirect
493. #88139C23semidirect
501. #88137C23semidirect
502. #88137C23semidirect
503. #88137C23semidirect
504. #88137C23semidirect
505. #88137C23semidirect
515. #88133C23semidirect
516. #88133C23semidirect
517. #88133C23semidirect
518. #88133C23semidirect
519. #88133C23semidirect
520. #88133C23semidirect
521. #88132C23semidirect
522. #88132C23semidirect
523. #88132C23semidirect
524. #88132C23semidirect
525. #88132C23semidirect
526. #88131C23semidirect
527. #88130C23semidirect
529. C4×D52C23semidirect
531. #88126C23semidirect
532. #88126C23semidirect
533. #88123C23semidirect
534. C4×Dic26C23semidirect
806. C2×#539D13semidirect
975. #539C2×D13semidirect
995. C2×#126C2×D13semidirect
996. C2×#126C2×D13semidirect
1005. C2×#125C2×D13semidirect
1006. C2×#125C2×D13semidirect
1043. C2×#123C2×D13semidirect
1044. C2×#123C2×D13semidirect
1077. C2×C22⋊Q8C2×D13semidirect
1078. C2×C22⋊Q8C2×D13semidirect
1079. C2×C22⋊Q8C2×D13semidirect
1108. C2×C4×D4C2×D13semidirect
1109. C2×C4×D4C2×D13semidirect
1123. C22×C4⋊C4C2×D13semidirect
1266. #126C22×D13semidirect
1267. #126C22×D13semidirect
1276. #125C22×D13semidirect
1277. #125C22×D13semidirect
1312. #123C22×D13semidirect
1313. #123C22×D13semidirect
1345. C22⋊Q8C22×D13semidirect
1346. C22⋊Q8C22×D13semidirect
1347. C22⋊Q8C22×D13semidirect
1376. C4×D4C22×D13semidirect
1377. C4×D4C22×D13semidirect
1441. C2×C4⋊C4C22×D13semidirect
1508. C2×C13#3535semidirect
1761. C13C2×#3535semidirect
1959. C2#13129044direct (N × H)

Maximal subgroups

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

subgroupindex
#131290442
C2×#117193562
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C2×#353513