Finite Group Databasebeta

← C2×#13129389 #16770340

Subgroups — C2×#13129389 #16770340

Order 3328.

7398 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129389C2132yesmaximal, direct product factor
2C2×#11719404C211yesmaximal, characteristic, complemented
3C2×#11719351C211yesmaximal, characteristic, complemented
4C2×#11719371C211yesmaximal, characteristic, complemented
5C2×#11719325C211yesmaximal, characteristic, complemented
6C2×#11719400C211yesmaximal, characteristic, complemented
7C2×#11719263C211yesmaximal, characteristic, complemented
8C2×#11719219C211yesmaximal, characteristic, complemented
9C2×#11719366C211yesmaximal, characteristic, complemented
10C2×#11719364C211yesmaximal, characteristic, complemented
11C2×#11719342C211yesmaximal, characteristic, complemented
12C2×#11719336C211yesmaximal, characteristic, complemented
13C2×#11719212C211yesmaximal, characteristic, complemented
14C2×#11719317C211yesmaximal, characteristic, complemented
15C2×#11719255C211yesmaximal, characteristic, complemented
16C2×#11719359C211yesmaximal, characteristic, complemented
17C2×#11719335C211yesmaximal, characteristic, complemented
18C2×#11719345C211yesmaximal, characteristic, complemented
19C2×#11719367C211yesmaximal, characteristic, complemented
20C2×#11719397C211yesmaximal, characteristic, complemented
21C2×#11719412C211yesmaximal, characteristic, complemented
22C2×#11719409C211yesmaximal, characteristic, complemented
23C2×#11719409C211yesmaximal, characteristic, complemented
24C2×#11719362C211yesmaximal, characteristic, complemented
25C2×#11719362C211yesmaximal, characteristic, complemented
26C2×#11719265C211yesmaximal, characteristic, complemented
27C2×#11719334C211yesmaximal, characteristic, complemented
28C2×#11719358C211yesmaximal, characteristic, complemented
29C2×#11719253C211yesmaximal, characteristic, complemented
30C2×#11719396C211yesmaximal, characteristic, complemented
31C2×D13×#126C211yesmaximal, characteristic, complemented
32C2×C13×#539C211yesmaximal, characteristic, complemented
33C22×#6131C2211yescharacteristic, complemented
34C22×D4×D13C2211yescharacteristic
35C22×#6127C2211yescharacteristic, complemented
36C22×#6127C2211yescharacteristic, complemented
37C22×#6127C2211yescharacteristic, complemented
38C23×D52C2211yescharacteristic
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×#88201C2211yescharacteristic
56C2×#88200C2211yescharacteristic, complemented
57C2×#88198C2211yescharacteristic, complemented
58C2×#88194C2211yescharacteristic, complemented
59C2×#88193C2211yescharacteristic
60C2×#88193C2211yescharacteristic, complemented
61C2×#88192C2211yescharacteristic
62C2×#88192C2211yescharacteristic, complemented
63C2×#88192C2211yescharacteristic, complemented
64C2×#88191C2211yescharacteristic
65C2×#88191C2211yescharacteristic
66C2×#88191C2211yescharacteristic, complemented
67C2×#88191C2211yescharacteristic, complemented
68C2×#88190C2211yescharacteristic
69C2×#88184C2211yescharacteristic
70C2×#88184C2211yescharacteristic, complemented
71C2×#88184C2211yescharacteristic, complemented
72C2×#88184C2211yescharacteristic, complemented
73C2×#88183C2211yescharacteristic
74C2×#88183C2211yescharacteristic, complemented
75C2×#88183C2211yescharacteristic, complemented
76C2×C4×C22⋊D13C2211yescharacteristic, complemented
77C2×C4×C22⋊D13C2211yescharacteristic, complemented
78C2×C4×C22⋊D13C2211yescharacteristic, complemented
79C2×C4×C22⋊D13C2211yescharacteristic, complemented
80C2×C4×C22⋊D13C2211yescharacteristic, complemented
81C2×C4×C22⋊D13C2211yescharacteristic, complemented
82C2×C4×C22⋊D13C2211yescharacteristic, complemented
83C22×#6103C2211yescharacteristic, complemented
84C2×#88178C2211yescharacteristic, complemented
85#11719412C22116yescomplemented
86#11719409C22116yescomplemented
87#11719409C22116yescomplemented
88D13×#126C22116yescomplemented
89#11719404C22116yescomplemented
90#11719400C22116yescomplemented
91#11719397C22116yescomplemented
92#11719396C22116yescomplemented
93#11719371C22116yescomplemented
94#11719367C22116yescomplemented
95#11719366C22116yescomplemented
96#11719364C22116yescomplemented
97#11719362C22116yescomplemented
98#11719362C22116yescomplemented
99#11719359C22116yescomplemented
100#11719358C22116yescomplemented
101#11719351C22116yescomplemented
102#11719345C22116yescomplemented
103#11719342C22116yescomplemented
104#11719336C22116yescomplemented
105#11719335C22116yescomplemented
106#11719334C22116yescomplemented
107#11719325C22116yescomplemented
108#11719317C22116yescomplemented
109#11719265C22116yescomplemented
110#11719263C22116yescomplemented
111#11719255C22116yescomplemented
112#11719253C22116yescomplemented
113#11719219C22116yescomplemented
114C2×#88152C2211yescharacteristic, complemented
115C2×#88152C2211yescharacteristic, complemented
116C2×#88152C2211yescharacteristic, complemented
117C2×#88152C2211yescharacteristic, complemented
118C2×#88152C2211yescharacteristic, complemented
119C2×#88152C2211yescharacteristic, complemented
120C2×#88152C2211yescharacteristic, complemented
121C2×#88152C2211yescharacteristic, complemented
122C2×#88152C2211yescharacteristic, complemented
123C2×#88152C2211yescharacteristic, complemented
124C2×#88151C2211yescharacteristic, complemented
125C2×#88151C2211yescharacteristic, complemented
126C2×#88151C2211yescharacteristic, complemented
127C2×#88150C2211yescharacteristic, complemented
128C2×#88150C2211yescharacteristic, complemented
129C2×#88150C2211yescharacteristic, complemented
130C2×#88150C2211yescharacteristic, complemented
131C2×#88150C2211yescharacteristic, complemented
132C2×#88150C2211yescharacteristic, complemented
133#11719212C22116yescomplemented
134C2×#88149C2211yescharacteristic
135C2×#88149C2211yescharacteristic
136C2×#88149C2211yescharacteristic
137C2×#88149C2211yescharacteristic
138C2×#88149C2211yescharacteristic, complemented
139C2×#88149C2211yescharacteristic, complemented
140C2×#88149C2211yescharacteristic, complemented
141C2×#88149C2211yescharacteristic, complemented
142C2×#88148C2211yescharacteristic
143C2×#88148C2211yescharacteristic
144C2×#88148C2211yescharacteristic
145C2×#88148C2211yescharacteristic
146C2×#88148C2211yescharacteristic, complemented
147C2×#88148C2211yescharacteristic, complemented
148C2×#88148C2211yescharacteristic, complemented
149C2×#88148C2211yescharacteristic, complemented
150C2×#88148C2211yescharacteristic, complemented
151C2×#88148C2211yescharacteristic, complemented
152C2×#88148C2211yescharacteristic, complemented
153C2×#88147C2211yescharacteristic, complemented
154C2×#88147C2211yescharacteristic, complemented
155C2×#88147C2211yescharacteristic, complemented
156C2×#88147C2211yescharacteristic, complemented
157C2×#88147C2211yescharacteristic, complemented
158C2×#88147C2211yescharacteristic, complemented
159C2×#88146C2211yescharacteristic, complemented
160C2×#88146C2211yescharacteristic, complemented
161C2×#88146C2211yescharacteristic, complemented
162C2×C4⋊C4×D13C2211yescharacteristic, complemented
163C2×C4⋊C4×D13C2211yescharacteristic, complemented
164C2×C4⋊C4×D13C2211yescharacteristic, complemented
165C2×C4⋊C4×D13C2211yescharacteristic, complemented
166C2×#88144C2211yescharacteristic, complemented
167C2×#88143C2211yescharacteristic, complemented
168C2×#88142C2211yescharacteristic, complemented
169C2×#88142C2211yescharacteristic, complemented
170C2×#88141C2211yescharacteristic, complemented
171C2×#88140C2211yescharacteristic, complemented
172C2×#88139C2211yescharacteristic
173C2×#88139C2211yescharacteristic, complemented
174C2×#88139C2211yescharacteristic, complemented
175C2×#88139C2211yescharacteristic, complemented
176C2×#88139C2211yescharacteristic, complemented
177C2×#88138C2211yescharacteristic
178C2×#88138C2211yescharacteristic
179C2×#88138C2211yescharacteristic
180C2×#88138C2211yescharacteristic
181C2×#88138C2211yescharacteristic, complemented
182C2×#88138C2211yescharacteristic, complemented
183C2×#88138C2211yescharacteristic, complemented
184C2×#88138C2211yescharacteristic, complemented
185C2×#88138C2211yescharacteristic, complemented
186C2×#88137C2211yescharacteristic
187C2×#88137C2211yescharacteristic, complemented
188C2×#88137C2211yescharacteristic, complemented
189C2×#88137C2211yescharacteristic, complemented
190C2×#88137C2211yescharacteristic, complemented
191C2×#88136C2211yescharacteristic
192C2×#88136C2211yescharacteristic
193C2×#88136C2211yescharacteristic
194C2×#88136C2211yescharacteristic
195C2×#88136C2211yescharacteristic, complemented
196C2×#88136C2211yescharacteristic, complemented
197C2×#88135C2211yescharacteristic, complemented
198C2×C22⋊C4×D13C2211yescharacteristic
199C2×C22⋊C4×D13C2211yescharacteristic
200C2×C22⋊C4×D13C2211yescharacteristic
201C2×C22⋊C4×D13C2211yescharacteristic, complemented
202C2×C22⋊C4×D13C2211yescharacteristic, complemented
203C2×C22⋊C4×D13C2211yescharacteristic, complemented
204C2×#88133C2211yescharacteristic, complemented
205C2×#88133C2211yescharacteristic, complemented
206C2×#88133C2211yescharacteristic, complemented
207C2×#88133C2211yescharacteristic, complemented
208C2×#88133C2211yescharacteristic, complemented
209C2×#88132C2211yescharacteristic, complemented
210C2×#88131C2211yescharacteristic, complemented
211C2×#88130C2211yescharacteristic, complemented
212C2×#88129C2211yescharacteristic
213C2×#88129C2211yescharacteristic, complemented
214C2×C4×D52C2211yescharacteristic, complemented
215C2×C4×D52C2211yescharacteristic, complemented
216C2×C4×D52C2211yescharacteristic, complemented
217C2×C42×D13C2211yescharacteristic, complemented
218C2×#88124C2211yescharacteristic, complemented
219C24×D13C2311yescharacteristic
220C24×D13C2311yescharacteristic
221C24×D13C2311yescharacteristic
222C22×Q8×C13C2311yescharacteristic
223C22×D4×C13C2311yescharacteristic
224C22×D4×C13C2311yescharacteristic
225C22×D4×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
237C22×C22⋊D13C2311yescharacteristic
238C22×C22⋊D13C2311yescharacteristic
239C22×C22⋊D13C2311yescharacteristic
240C22×C22⋊D13C2311yescharacteristic
241C22×C22⋊D13C2311yescharacteristic
242C22×C22⋊D13C2311yescharacteristic
243C23×Dic13C2311yescharacteristic
244C2×#6131—44no—
245C2×#6131C2318yescomplemented
246C2×D4×D13—44no—
247C2×D4×D13C2318yes—
248C2×#6127—44no—
249C2×#6127—44no—
250C2×#6127—44no—
251C2×#6127C2318yescomplemented
252C2×#6127C2318yescomplemented
253C2×#6127C2318yescomplemented
254C22×D52—44no—
255C22×D52C2311yescharacteristic
256C22×D52C2311yescharacteristic
257C22×D52C2311yescharacteristic
258C22×D52C2311yescharacteristic
259C22×D52C2311yescharacteristic
260C22×D52C2311yescharacteristic
261C22×D52C2311yescharacteristic
262C22×D52C2311yescharacteristic
263C22×D52C2311yescharacteristic
264C22×D52C2311yescharacteristic
265C22×D52C2311yescharacteristic
266C22×D52C2311yescharacteristic
267C22×D52C2318yes—
268C22×C4×D13C2311yescharacteristic
269C22×C4×D13C2311yescharacteristic
270C22×C4×D13C2311yescharacteristic
271C22×C4×D13C2311yescharacteristic
272C22×C4×D13C2311yescharacteristic
273C22×C4×D13C2311yescharacteristic
274C22×C4×D13C2311yescharacteristic
275C22×C4×D13C2311yescharacteristic
276C22×C4×D13C2311yescharacteristic
277C22×C4×D13C2311yescharacteristic
278C22×C4×D13C2311yescharacteristic
279C22×C4×D13C2311yescharacteristic
280C22×C4×D13C2311yescharacteristic
281C22×C4×D13C2311yescharacteristic
282C22×C4×D13C2311yescharacteristic
283C22×C4×D13C2311yescharacteristic
284C22×Dic26C2311yescharacteristic
285C22×Dic26C2311yescharacteristic
286C22×Dic26C2311yescharacteristic
287C22×Dic26C2311yescharacteristic
288C13×#126C2318yescomplemented
289C13×#126C2318yescomplemented
290C13×#125C2318yescomplemented
291C13×#125C2318yescomplemented
292C13×#123C2318yes—
293C13×#123C2318yes—
294C13×#123C2318yescomplemented
295C13×#123C2318yescomplemented
296C13×C22⋊Q8C2318yescomplemented
297C13×C22⋊Q8C2318yescomplemented
298C13×C22⋊Q8C2318yescomplemented
299C13×#121C2318yes—
300C4×D4×C13C2318yescomplemented
301C4×D4×C13C2318yescomplemented
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⋊C4C2311yescharacteristic
309C2×C13×C4⋊C4C2311yescharacteristic
310C2×C13×C4⋊C4C2311yescharacteristic
311C2×C13×C4⋊C4C2311yescharacteristic
312C2×C13×C4⋊C4C2311yescharacteristic
313C2×C13×C4⋊C4C2311yescharacteristic
314C2×C13×C4⋊C4C2311yescharacteristic
315C2×C13×C4⋊C4C2311yescharacteristic
316C2×C13×C4⋊C4C2318yescomplemented
317C2×C13×C22⋊C4C2311yescharacteristic
318C2×C13×C22⋊C4C2311yescharacteristic
319C2×C13×C22⋊C4C2311yescharacteristic
320C2×C13×C22⋊C4C2311yescharacteristic
321C2×C13×C22⋊C4C2311yescharacteristic
322C2×C13×C22⋊C4C2311yescharacteristic
323C2×C13×C22⋊C4C2311yescharacteristic
324C2×C13×C22⋊C4C2311yescharacteristic
325C2×C13×C22⋊C4C2311yescharacteristic
326C2×C13×C22⋊C4C2311yescharacteristic
327C2×C42×C13C2311yescharacteristic
328C2×C42×C13C2311yescharacteristic
329C2×C22⋊Dic13C2311yescharacteristic
330C2×C22⋊Dic13C2311yescharacteristic
331C2×C22⋊Dic13C2311yescharacteristic
332C2×C22⋊Dic13C2311yescharacteristic
333C2×C22⋊Dic13C2311yescharacteristic
334C2×C22⋊Dic13C2311yescharacteristic
335C2×C22⋊Dic13C2311yescharacteristic
336C2×C22⋊Dic13C2311yescharacteristic
337#88201C2318yes—
338#88200C2318yescomplemented
339#88198C2318yescomplemented
340#88194C2318yescomplemented
341#88193C2318yes—
342#88193C2318yescomplemented
343#88192C2318yes—
344#88192C2318yescomplemented
345#88192C2318yescomplemented
346#88191C2318yes—
347#88191C2318yes—
348#88191C2318yescomplemented
349#88191C2318yescomplemented
350#88190C2318yes—
351#88184C2318yes—
352#88184C2318yescomplemented
353#88184C2318yescomplemented
354#88184C2318yescomplemented
355#88183C2318yes—
356#88183C2318yescomplemented
357#88183C2318yescomplemented
358C4×C22⋊D13C2318yescomplemented
359C4×C22⋊D13C2318yescomplemented
360C4×C22⋊D13C2318yescomplemented
361C4×C22⋊D13C2318yescomplemented
362C4×C22⋊D13C2318yescomplemented
363C4×C22⋊D13C2318yescomplemented
364C4×C22⋊D13C2318yescomplemented
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×#6103C2311yescharacteristic
387C2×#6103C2311yescharacteristic
388C2×#6103C2311yescharacteristic
389C2×#6103C2311yescharacteristic
390C2×#6103C2311yescharacteristic
391C2×#6103C2311yescharacteristic
392C2×#6103C2311yescharacteristic
393C2×#6103C2311yescharacteristic
394C2×#6103C2311yescharacteristic
395C2×#6103C2311yescharacteristic
396C2×#6103C2311yescharacteristic
397C2×#6103C2318yescomplemented
398C2×C4⋊Dic13C2311yescharacteristic
399C2×C4⋊Dic13C2311yescharacteristic
400C2×C4⋊Dic13C2311yescharacteristic
401C2×C4⋊Dic13C2311yescharacteristic
402C2×C4⋊Dic13C2311yescharacteristic
403C2×C4⋊Dic13C2311yescharacteristic
404C2×C4⋊Dic13C2311yescharacteristic
405C2×C4⋊Dic13C2311yescharacteristic
406#88178C2318yescomplemented
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#88152C2318yescomplemented
435#88152C2318yescomplemented
436#88152C2318yescomplemented
437#88152C2318yescomplemented
438#88152C2318yescomplemented
439#88152C2318yescomplemented
440#88152C2318yescomplemented
441#88151C2318yescomplemented
442#88151C2318yescomplemented
443#88151C2318yescomplemented
444#88150C2318yescomplemented
445#88150C2318yescomplemented
446#88150C2318yescomplemented
447#88150C2318yescomplemented
448#88150C2318yescomplemented
449#88150C2318yescomplemented
450#88149C2318yes—
451#88149C2318yes—
452#88149C2318yes—
453#88149C2318yes—
454#88149C2318yescomplemented
455#88149C2318yescomplemented
456#88149C2318yescomplemented
457#88149C2318yescomplemented
458#88148C2318yes—
459#88148C2318yes—
460#88148C2318yes—
461#88148C2318yes—
462#88148C2318yescomplemented
463#88148C2318yescomplemented
464#88148C2318yescomplemented
465#88148C2318yescomplemented
466#88148C2318yescomplemented
467#88148C2318yescomplemented
468#88148C2318yescomplemented
469#88147C2318yescomplemented
470#88147C2318yescomplemented
471#88147C2318yescomplemented
472#88147C2318yescomplemented
473#88147C2318yescomplemented
474#88147C2318yescomplemented
475#88146C2318yescomplemented
476#88146C2318yescomplemented
477#88146C2318yescomplemented
478C4⋊C4×D13C2318yescomplemented
479C4⋊C4×D13C2318yescomplemented
480C4⋊C4×D13C2318yescomplemented
481C4⋊C4×D13C2318yescomplemented
482#88144C2318yescomplemented
483#88143C2318yescomplemented
484#88142C2318yescomplemented
485#88142C2318yescomplemented
486#88141C2318yescomplemented
487#88140C2318yescomplemented
488#88139C2318yes—
489#88139C2318yescomplemented
490#88139C2318yescomplemented
491#88139C2318yescomplemented
492#88139C2318yescomplemented
493#88138C2318yes—
494#88138C2318yes—
495#88138C2318yes—
496#88138C2318yes—
497#88138C2318yescomplemented
498#88138C2318yescomplemented
499#88138C2318yescomplemented
500#88138C2318yescomplemented
501#88138C2318yescomplemented
502#88137C2318yes—
503#88137C2318yescomplemented
504#88137C2318yescomplemented
505#88137C2318yescomplemented
506#88137C2318yescomplemented
507#88136C2318yes—
508#88136C2318yes—
509#88136C2318yes—
510#88136C2318yes—
511#88136C2318yescomplemented
512#88136C2318yescomplemented
513#88135C2318yescomplemented
514C22⋊C4×D13C2318yes—
515C22⋊C4×D13C2318yes—
516C22⋊C4×D13C2318yes—
517C22⋊C4×D13C2318yescomplemented
518C22⋊C4×D13C2318yescomplemented
519C22⋊C4×D13C2318yescomplemented
520#88133C2318yescomplemented
521#88133C2318yescomplemented
522#88133C2318yescomplemented
523#88133C2318yescomplemented
524#88133C2318yescomplemented
525#88132C2318yescomplemented
526#88131C2318yescomplemented
527#88130C2318yescomplemented
528#88129C2318yes—
529#88129C2318yescomplemented
530C4×D52C2318yescomplemented
531C4×D52C2318yescomplemented
532C4×D52C2318yescomplemented
533C42×D13C2318yescomplemented
534#88124C2318yescomplemented
535C2×#3560—131nomaximal, Sylow
536C24×C13C2411yescharacteristic
537C24×C13C2411yescharacteristic
538C24×C13C2411yescharacteristic
539C23×D13—24no—
540C23×D13—42no—
541C23×D13—42no—
542C23×D13—42no—
543C23×D13—42no—
544C23×D13—42no—
545C23×D13—42no—
546C23×D13—42no—
547C23×D13—42no—
548C23×D13C2411yescharacteristic
549C23×D13C2411yescharacteristic
550C23×D13C2411yescharacteristic
551C23×D13C2411yescharacteristic
552C23×D13C2411yescharacteristic
553C23×D13C2411yescharacteristic
554C23×D13C2414yes—
555C23×D13C2414yes—
556C23×D13C2414yes—
557C2×Q8×C13—42no—
558C2×Q8×C13C2414yes—
559C2×D4×C13—42no—
560C2×D4×C13—42no—
561C2×D4×C13—42no—
562C2×D4×C13C2414yes—
563C2×D4×C13C2414yes—
564C2×D4×C13C2414yes—
565C22×C4×C13—42no—
566C22×C4×C13—42no—
567C22×C4×C13—42no—
568C22×C4×C13—42no—
569C22×C4×C13—42no—
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×C13C2411yescharacteristic
579C22×C4×C13C2411yescharacteristic
580C22×C4×C13C2411yescharacteristic
581C22×C4×C13C2411yescharacteristic
582C22×C4×C13C2414yes—
583C22×C4×C13C2414yes—
584C22×C4×C13C2414yes—
585C22×C4×C13C2414yes—
586C22×C4×C13C2414yes—
587C2×C22⋊D13—24no—
588C2×C22⋊D13—24no—
589C2×C22⋊D13—42no—
590C2×C22⋊D13—42no—
591C2×C22⋊D13—42no—
592C2×C22⋊D13—42no—
593C2×C22⋊D13—42no—
594C2×C22⋊D13—42no—
595C2×C22⋊D13—42no—
596C2×C22⋊D13—42no—
597C2×C22⋊D13—42no—
598C2×C22⋊D13—42no—
599C2×C22⋊D13C2414yes—
600C2×C22⋊D13C2414yes—
601C2×C22⋊D13C2414yes—
602C2×C22⋊D13C2414yes—
603C2×C22⋊D13C2414yes—
604C2×C22⋊D13C2414yes—
605C2×C22⋊D13C2414yes—
606C2×C22⋊D13C2414yes—
607C2×C22⋊D13C2414yes—
608C2×C22⋊D13C2414yes—
609C2×C22⋊D13C2414yes—
610C2×C22⋊D13C2414yes—
611C22×Dic13—42no—
612C22×Dic13C2411yescharacteristic
613C22×Dic13C2411yescharacteristic
614C22×Dic13C2411yescharacteristic
615C22×Dic13C2411yescharacteristic
616C22×Dic13C2411yescharacteristic
617C22×Dic13C2411yescharacteristic
618C22×Dic13C2411yescharacteristic
619C22×Dic13C2411yescharacteristic
620C22×Dic13C2411yescharacteristic
621C22×Dic13C2411yescharacteristic
622C22×Dic13C2414yes—
623#6131—416no—
624D4×D13—416no—
625#6127—416no—
626#6127—416no—
627#6127—416no—
628C2×D52—24no—
629C2×D52—24no—
630C2×D52—24no—
631C2×D52—24no—
632C2×D52—416no—
633C2×D52—42no—
634C2×D52—42no—
635C2×D52—42no—
636C2×D52—42no—
637C2×D52—42no—
638C2×D52—42no—
639C2×D52—42no—
640C2×D52—42no—
641C2×D52C2414yes—
642C2×D52C2414yes—
643C2×D52C2414yes—
644C2×D52C2414yes—
645C2×D52C2414yes—
646C2×D52C2414yes—
647C2×D52C2414yes—
648C2×D52C2414yes—
649C2×D52C2414yes—
650C2×D52C2414yes—
651C2×D52C2414yes—
652C2×D52C2414yes—
653C2×C4×D13—24no—
654C2×C4×D13—24no—
655C2×C4×D13—42no—
656C2×C4×D13—42no—
657C2×C4×D13—42no—
658C2×C4×D13—42no—
659C2×C4×D13—42no—
660C2×C4×D13—42no—
661C2×C4×D13—42no—
662C2×C4×D13—42no—
663C2×C4×D13—42no—
664C2×C4×D13—42no—
665C2×C4×D13—42no—
666C2×C4×D13—42no—
667C2×C4×D13—42no—
668C2×C4×D13—42no—
669C2×C4×D13C2414yes—
670C2×C4×D13C2414yes—
671C2×C4×D13C2414yes—
672C2×C4×D13C2414yes—
673C2×C4×D13C2414yes—
674C2×C4×D13C2414yes—
675C2×C4×D13C2414yes—
676C2×C4×D13C2414yes—
677C2×C4×D13C2414yes—
678C2×C4×D13C2414yes—
679C2×C4×D13C2414yes—
680C2×C4×D13C2414yes—
681C2×C4×D13C2414yes—
682C2×C4×D13C2414yes—
683C2×C4×D13C2414yes—
684C2×C4×D13C2414yes—
685C2×Dic26—42no—
686C2×Dic26—42no—
687C2×Dic26—42no—
688C2×Dic26—42no—
689C2×Dic26C2414yes—
690C2×Dic26C2414yes—
691C2×Dic26C2414yes—
692C2×Dic26C2414yes—
693C13×C4⋊C4C2414yes—
694C13×C4⋊C4C2414yes—
695C13×C4⋊C4C2414yes—
696C13×C4⋊C4C2414yes—
697C13×C4⋊C4C2414yes—
698C13×C4⋊C4C2414yes—
699C13×C4⋊C4C2414yes—
700C13×C4⋊C4C2414yes—
701C13×C4⋊C4C2414yes—
702C13×C4⋊C4C2414yes—
703C13×C4⋊C4C2414yes—
704C13×C4⋊C4C2414yes—
705C13×C4⋊C4C2414yes—
706C13×C4⋊C4C2414yes—
707C13×C22⋊C4C2414yes—
708C13×C22⋊C4C2414yes—
709C13×C22⋊C4C2414yes—
710C13×C22⋊C4C2414yes—
711C13×C22⋊C4C2414yes—
712C13×C22⋊C4C2414yes—
713C13×C22⋊C4C2414yes—
714C13×C22⋊C4C2414yes—
715C13×C22⋊C4C2414yes—
716C13×C22⋊C4C2414yes—
717C42×C13C2414yes—
718C42×C13C2414yes—
719C22⋊Dic13C2414yes—
720C22⋊Dic13C2414yes—
721C22⋊Dic13C2414yes—
722C22⋊Dic13C2414yes—
723C22⋊Dic13C2414yes—
724C22⋊Dic13C2414yes—
725C22⋊Dic13C2414yes—
726C22⋊Dic13C2414yes—
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—
740#6103C2414yes—
741#6103C2414yes—
742#6103C2414yes—
743#6103C2414yes—
744#6103C2414yes—
745#6103C2414yes—
746#6103C2414yes—
747#6103C2414yes—
748#6103C2414yes—
749#6103C2414yes—
750#6103C2414yes—
751#6103C2414yes—
752#6103C2414yes—
753#6103C2414yes—
754#6103C2414yes—
755#6103C2414yes—
756#6103C2414yes—
757#6103C2414yes—
758#6103C2414yes—
759C4⋊Dic13C2414yes—
760C4⋊Dic13C2414yes—
761C4⋊Dic13C2414yes—
762C4⋊Dic13C2414yes—
763C4⋊Dic13C2414yes—
764C4⋊Dic13C2414yes—
765C4⋊Dic13C2414yes—
766C4⋊Dic13C2414yes—
767#6101C2414yes—
768#6101C2414yes—
769#6101C2414yes—
770#6101C2414yes—
771#6101C2414yes—
772#6101C2414yes—
773#6101C2414yes—
774#6101C2414yes—
775#6101C2414yes—
776#6101C2414yes—
777#6101C2414yes—
778#6101C2414yes—
779#6101C2414yes—
780#6101C2414yes—
781#6101C2414yes—
782#6101C2414yes—
783C4×Dic13C2414yes—
784C4×Dic13C2414yes—
785C4×Dic13C2414yes—
786C4×Dic13C2414yes—
787C4×Dic13C2414yes—
788C4×Dic13C2414yes—
789C4×Dic13C2414yes—
790C4×Dic13C2414yes—
791#3560—1332no—
792C2×#563—131no—
793C2×#563—131no—
794C2×#560—131no—
795C2×#560—131no—
796C2×#553—131no—
797C2×#553—131no—
798C2×#553—131no—
799C2×#553—131no—
800C2×#551—131no—
801C2×#551—131no—
802C2×#547—131no—
803C2×#547—131no—
804C2×#546—131no—
805C2×#546—131no—
806C2×#546—131no—
807C2×#546—131no—
808C2×#542—131no—
809C2×#542—131no—
810C2×#539—131no—
811C2×#539—131no—
812C2×#539D1311yescharacteristic, complemented
813C2×#538—131no—
814C2×#538—131no—
815C2×#538—131no—
816C2×#538—131no—
817C2×#538—131no—
818C2×#537—131no—
819C2×#534—131no—
820C2×#532—131no—
821C2×#529—131no—
822C22×#126—131no—
823C23×C13—22no—
824C23×C13—22no—
825C23×C13—22no—
826C23×C13—22no—
827C23×C13—22no—
828C23×C13—22no—
829C23×C13—22no—
830C23×C13—22no—
831C23×C13—22no—
832C23×C13C2512yes—
833C23×C13C2512yes—
834C23×C13C2512yes—
835C23×C13C2511yescharacteristic
836C22×D13—22no—
837C22×D13—22no—
838C22×D13—22no—
839C22×D13—22no—
840C22×D13—22no—
841C22×D13—22no—
842C22×D13—22no—
843C22×D13—22no—
844C22×D13—22no—
845C22×D13—22no—
846C22×D13—22no—
847C22×D13—22no—
848C22×D13—22no—
849C22×D13—22no—
850C22×D13—22no—
851C22×D13—22no—
852C22×D13—22no—
853C22×D13—28no—
854C22×D13—44no—
855C22×D13—44no—
856C22×D13—44no—
857C22×D13—44no—
858C22×D13—44no—
859C22×D13—44no—
860C22×D13—44no—
861C22×D13—44no—
862C22×D13—88no—
863C22×D13—88no—
864C22×D13—88no—
865C22×D13H(5,𝔽2)14yes—
866C22×D13C2512yes—
867C22×D13C2512yes—
868C22×D13C2512yes—
869C22×D13C2512yes—
870C22×D13C2512yes—
871C22×D13C2512yes—
872Q8×C13—44no—
873D4×C13—44no—
874D4×C13—44no—
875D4×C13—44no—
876C2×C4×C13—22no—
877C2×C4×C13—22no—
878C2×C4×C13—22no—
879C2×C4×C13—22no—
880C2×C4×C13—22no—
881C2×C4×C13—22no—
882C2×C4×C13—22no—
883C2×C4×C13—22no—
884C2×C4×C13—22no—
885C2×C4×C13—22no—
886C2×C4×C13—22no—
887C2×C4×C13—22no—
888C2×C4×C13—44no—
889C2×C4×C13—44no—
890C2×C4×C13—44no—
891C2×C4×C13—44no—
892C2×C4×C13—44no—
893C2×C4×C13C2512yes—
894C2×C4×C13C2512yes—
895C2×C4×C13C2512yes—
896C2×C4×C13C2512yes—
897C2×C4×C13C2512yes—
898C2×C4×C13C2512yes—
899C2×C4×C13C2512yes—
900C2×C4×C13C2512yes—
901C2×C4×C13C2512yes—
902C2×C4×C13C2512yes—
903C2×C4×C13C2512yes—
904C2×C4×C13C2512yes—
905C22⋊D13—28no—
906C22⋊D13—28no—
907C22⋊D13—44no—
908C22⋊D13—44no—
909C22⋊D13—44no—
910C22⋊D13—44no—
911C22⋊D13—44no—
912C22⋊D13—44no—
913C22⋊D13—44no—
914C22⋊D13—44no—
915C22⋊D13—44no—
916C22⋊D13—44no—
917C2×Dic13—22no—
918C2×Dic13—22no—
919C2×Dic13—22no—
920C2×Dic13—22no—
921C2×Dic13—22no—
922C2×Dic13—22no—
923C2×Dic13—22no—
924C2×Dic13—22no—
925C2×Dic13—22no—
926C2×Dic13—22no—
927C2×Dic13—44no—
928C2×Dic13C2512yes—
929C2×Dic13C2512yes—
930C2×Dic13C2512yes—
931C2×Dic13C2512yes—
932C2×Dic13C2512yes—
933C2×Dic13C2512yes—
934C2×Dic13C2512yes—
935C2×Dic13C2512yes—
936C2×Dic13C2512yes—
937C2×Dic13C2512yes—
938D52—28no—
939D52—28no—
940D52—28no—
941D52—28no—
942D52—44no—
943D52—44no—
944D52—44no—
945D52—44no—
946D52—44no—
947D52—44no—
948D52—44no—
949D52—44no—
950C4×D13—28no—
951C4×D13—28no—
952C4×D13—44no—
953C4×D13—44no—
954C4×D13—44no—
955C4×D13—44no—
956C4×D13—44no—
957C4×D13—44no—
958C4×D13—44no—
959C4×D13—44no—
960C4×D13—44no—
961C4×D13—44no—
962C4×D13—44no—
963C4×D13—44no—
964C4×D13—44no—
965C4×D13—44no—
966Dic26—44no—
967Dic26—44no—
968Dic26—44no—
969Dic26—44no—
970C22×#41—131no—
971C22×#41—131no—
972C22×#41—131no—
973C22×#41—131no—
974C23×D4—131no—
975C23×D4—131no—
976#563—1316no—
977#563—1316no—
978#560—1316no—
979#560—1316no—
980#553—1316no—
981#553—1316no—
982#553—1316no—
983#553—1316no—
984#551—1316no—
985#551—1316no—
986#547—1316no—
987#547—1316no—
988#546—1316no—
989#546—1316no—
990#546—1316no—
991#546—1316no—
992#542—1316no—
993#542—1316no—
994#539—1316no—
995#539—1316no—
996#539C2×D13116yescomplemented
997#538—1316no—
998#538—1316no—
999#538—1316no—
1000#538—1316no—
1001#538—1316no—
1002#537—1316no—
1003#534—1316no—
1004#532—1316no—
1005C2×C4⋊Q8—131no—
1006C2×C4⋊Q8—131no—
1007C2×C4⋊Q8—131no—
1008C2×#127—131no—
1009#529—1316no—
1010C2×#126—1316no—
1011C2×#126—131no—
1012C2×#126—131no—
1013C2×#126—131no—
1014C2×#126—131no—
1015C2×#126—131no—
1016C2×#126—131no—
1017C2×#126—131no—
1018C2×#126—131no—
1019C2×#126—131no—
1020C2×#126—131no—
1021C2×#126—131no—
1022C2×#126—131no—
1023C2×#126—131no—
1024C2×#126—131no—
1025C2×#126—131no—
1026C2×#126—131no—
1027C2×#126C2×D1311yescharacteristic, complemented
1028C2×#126C2×D1311yescharacteristic, complemented
1029C2×#125—131no—
1030C2×#125—131no—
1031C2×#125—131no—
1032C2×#125C2×D1311yescharacteristic, complemented
1033C2×#125C2×D1311yescharacteristic, complemented
1034C2×#124—131no—
1035C2×#124—131no—
1036C2×#124—131no—
1037C2×#124—131no—
1038C2×#124—131no—
1039C2×#124—131no—
1040C2×#124—131no—
1041C2×#124—131no—
1042C2×#124—131no—
1043C2×#123—131no—
1044C2×#123—131no—
1045C2×#123—131no—
1046C2×#123—131no—
1047C2×#123—131no—
1048C2×#123—131no—
1049C2×#123—131no—
1050C2×#123—131no—
1051C2×#123—131no—
1052C2×#123—131no—
1053C2×#123—131no—
1054C2×#123—131no—
1055C2×#123—131no—
1056C2×#123—131no—
1057C2×#123—131no—
1058C2×#123—131no—
1059C2×#123—131no—
1060C2×#123—131no—
1061C2×#123—131no—
1062C2×#123—131no—
1063C2×#123C2×D1311yescharacteristic
1064C2×#123C2×D1311yescharacteristic
1065C2×#123C2×D1311yescharacteristic, complemented
1066C2×#123C2×D1311yescharacteristic, complemented
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⋊Q8—131no—
1078C2×C22⋊Q8—131no—
1079C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1080C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1081C2×C22⋊Q8C2×D1311yescharacteristic, complemented
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×#121—131no—
1091C2×#121—131no—
1092C2×#121—131no—
1093C2×#121—131no—
1094C2×#121—131no—
1095C2×#121—131no—
1096C2×#121—131no—
1097C2×#121—131no—
1098C2×#121—131no—
1099C2×#121—131no—
1100C2×#121—131no—
1101C2×#121—131no—
1102C2×#121—131no—
1103C2×#121—131no—
1104C2×#121—131no—
1105C2×#121—131no—
1106C2×#121—131no—
1107C2×#121—131no—
1108C2×#121C2×D1311yescharacteristic
1109C2×#120—131no—
1110C2×#120—131no—
1111C2×#120—131no—
1112C2×#120—131no—
1113C2×#120—131no—
1114C2×#120—131no—
1115C2×#120—131no—
1116C2×#120—131no—
1117C2×#120—131no—
1118C2×#120—131no—
1119C2×C4×Q8—131no—
1120C2×C4×D4—131no—
1121C2×C4×D4—131no—
1122C2×C4×D4—131no—
1123C2×C4×D4—131no—
1124C2×C4×D4—131no—
1125C2×C4×D4—131no—
1126C2×C4×D4—131no—
1127C2×C4×D4—131no—
1128C2×C4×D4—131no—
1129C2×C4×D4—131no—
1130C2×C4×D4—131no—
1131C2×C4×D4—131no—
1132C2×C4×D4—131no—
1133C2×C4×D4—131no—
1134C2×C4×D4—131no—
1135C2×C4×D4—131no—
1136C2×C4×D4—131no—
1137C2×C4×D4C2×D1311yescharacteristic, complemented
1138C2×C4×D4C2×D1311yescharacteristic, complemented
1139C2×#117—131no—
1140C2×#117—131no—
1141C2×#117—131no—
1142C2×#117—131no—
1143C22×C4⋊C4—131no—
1144C22×C4⋊C4—131no—
1145C22×C4⋊C4—131no—
1146C22×C4⋊C4—131no—
1147C22×C4⋊C4C2×D1311yescharacteristic, complemented
1148C22×C22⋊C4—131no—
1149C22×C22⋊C4—131no—
1150C22×C22⋊C4—131no—
1151C22×C22⋊C4—131no—
1152C22×C22⋊C4—131no—
1153C22×C22⋊C4—131no—
1154C22×C22⋊C4—131no—
1155C22×C42—131no—
1156C22×C13—22no—
1157C22×C13—22no—
1158C22×C13—22no—
1159C22×C13—22no—
1160C22×C13—22no—
1161C22×C13—22no—
1162C22×C13—22no—
1163C22×C13—22no—
1164C22×C13—22no—
1165C22×C13—44no—
1166C22×C13—44no—
1167C22×C13—44no—
1168C22×C13C2×H(5,𝔽2)12yes—
1169C22×C13#58512yes—
1170C22×C13#58512yes—
1171C22×C13C2611yescharacteristic
1172C2×D13—22no—
1173C2×D13—22no—
1174C2×D13—28no—
1175C2×D13—22no—
1176C2×D13—22no—
1177C2×D13—22no—
1178C2×D13—22no—
1179C2×D13—22no—
1180C2×D13—22no—
1181C2×D13—22no—
1182C2×D13—22no—
1183C2×D13—22no—
1184C2×D13—22no—
1185C2×D13—22no—
1186C2×D13—22no—
1187C2×D13—22no—
1188C2×D13—22no—
1189C2×D13—22no—
1190C2×D13—44no—
1191C2×D13—44no—
1192C2×D13—44no—
1193C2×D13—44no—
1194C2×D13—44no—
1195C2×D13—88no—
1196C2×D13—88no—
1197C2×D13—88no—
1198C2×D13C2×H(5,𝔽2)14yes—
1199C4×C13—22no—
1200C4×C13—22no—
1201C4×C13—22no—
1202C4×C13—22no—
1203C4×C13—22no—
1204C4×C13—22no—
1205C4×C13—22no—
1206C4×C13—22no—
1207C4×C13—22no—
1208C4×C13—22no—
1209C4×C13—22no—
1210C4×C13—22no—
1211Dic13—22no—
1212Dic13—22no—
1213Dic13—22no—
1214Dic13—22no—
1215Dic13—22no—
1216Dic13—22no—
1217Dic13—22no—
1218Dic13—22no—
1219Dic13—22no—
1220Dic13—22no—
1221C25—131no—
1222C25—131no—
1223C25—131no—
1224C2×#41—138no—
1225C2×#41—138no—
1226C2×#41—138no—
1227C2×#41—138no—
1228C2×#41—524no—
1229C2×#41—524no—
1230C2×#41—524no—
1231C2×#41—524no—
1232C22×Q8—131no—
1233C22×Q8—131no—
1234C22×Q8—131no—
1235C22×Q8—131no—
1236C22×Q8C22×D1311yescharacteristic
1237C22×D4—131no—
1238C22×D4—131no—
1239C22×D4—131no—
1240C22×D4—131no—
1241C22×D4—131no—
1242C22×D4—131no—
1243C22×D4—131no—
1244C22×D4—131no—
1245C22×D4—131no—
1246C22×D4—131no—
1247C22×D4—131no—
1248C22×D4—131no—
1249C22×D4—138no—
1250C22×D4—131no—
1251C22×D4—131no—
1252C22×D4—131no—
1253C22×D4—131no—
1254C22×D4—131no—
1255C22×D4—131no—
1256C22×D4—131no—
1257C22×D4—131no—
1258C22×D4—131no—
1259C22×D4—131no—
1260C22×D4—131no—
1261C22×D4—131no—
1262C22×D4—138no—
1263C22×D4—524no—
1264C22×D4—524no—
1265C22×D4C22×D1311yescharacteristic
1266C22×D4C22×D1311yescharacteristic
1267C22×D4C22×D1311yescharacteristic
1268C23×C4—131no—
1269C23×C4—131no—
1270C23×C4—131no—
1271C23×C4—131no—
1272C23×C4—131no—
1273C23×C4—131no—
1274C23×C4—131no—
1275C23×C4—131no—
1276C23×C4—131no—
1277C23×C4—131no—
1278C23×C4—131no—
1279C23×C4—131no—
1280C23×C4—131no—
1281C23×C4—131no—
1282C23×C4—131no—
1283C23×C4—131no—
1284C23×C4—131no—
1285C23×C4C22×D1311yescharacteristic
1286C23×C4C22×D1311yescharacteristic
1287C23×C4C22×D1311yescharacteristic
1288C23×C4C22×D1311yescharacteristic
1289C23×C4C22×D1311yescharacteristic
1290C4⋊Q8—138no—
1291C4⋊Q8—138no—
1292C4⋊Q8—138no—
1293#127—138no—
1294#126—138no—
1295#126—138no—
1296#126—138no—
1297#126—138no—
1298#126—138no—
1299#126—138no—
1300#126—138no—
1301#126—138no—
1302#126—138no—
1303#126—138no—
1304#126—138no—
1305#126—138no—
1306#126—138no—
1307#126—138no—
1308#126—138no—
1309#126—138no—
1310#126C22×D1318yescomplemented
1311#126C22×D1318yescomplemented
1312#125—138no—
1313#125—138no—
1314#125—138no—
1315#125C22×D1318yescomplemented
1316#125C22×D1318yescomplemented
1317#124—138no—
1318#124—138no—
1319#124—138no—
1320#124—138no—
1321#124—138no—
1322#124—138no—
1323#124—138no—
1324#124—138no—
1325#124—138no—
1326#123—138no—
1327#123—138no—
1328#123—138no—
1329#123—138no—
1330#123—138no—
1331#123—138no—
1332#123—138no—
1333#123—138no—
1334#123—138no—
1335#123—138no—
1336#123—138no—
1337#123—138no—
1338#123—138no—
1339#123—138no—
1340#123—138no—
1341#123—138no—
1342#123—138no—
1343#123—138no—
1344#123—138no—
1345#123—138no—
1346#123C22×D1318yes—
1347#123C22×D1318yes—
1348#123C22×D1318yescomplemented
1349#123C22×D1318yescomplemented
1350C22⋊Q8—138no—
1351C22⋊Q8—138no—
1352C22⋊Q8—138no—
1353C22⋊Q8—138no—
1354C22⋊Q8—138no—
1355C22⋊Q8—138no—
1356C22⋊Q8—138no—
1357C22⋊Q8—138no—
1358C22⋊Q8—138no—
1359C22⋊Q8—138no—
1360C22⋊Q8—138no—
1361C22⋊Q8—138no—
1362C22⋊Q8C22×D1318yescomplemented
1363C22⋊Q8C22×D1318yescomplemented
1364C22⋊Q8C22×D1318yescomplemented
1365#121—138no—
1366#121—138no—
1367#121—138no—
1368#121—138no—
1369#121—138no—
1370#121—138no—
1371#121—138no—
1372#121—138no—
1373#121—138no—
1374#121—138no—
1375#121—138no—
1376#121—138no—
1377#121—138no—
1378#121—138no—
1379#121—138no—
1380#121—138no—
1381#121—138no—
1382#121—138no—
1383#121—138no—
1384#121—138no—
1385#121—138no—
1386#121—138no—
1387#121—138no—
1388#121—138no—
1389#121—138no—
1390#121—138no—
1391#121C22×D1318yes—
1392#120—138no—
1393#120—138no—
1394#120—138no—
1395#120—138no—
1396#120—138no—
1397#120—138no—
1398#120—138no—
1399#120—138no—
1400#120—138no—
1401#120—138no—
1402C4×Q8—138no—
1403C4×D4—138no—
1404C4×D4—138no—
1405C4×D4—138no—
1406C4×D4—138no—
1407C4×D4—138no—
1408C4×D4—138no—
1409C4×D4—138no—
1410C4×D4—138no—
1411C4×D4—138no—
1412C4×D4—138no—
1413C4×D4—138no—
1414C4×D4—138no—
1415C4×D4—138no—
1416C4×D4—138no—
1417C4×D4—138no—
1418C4×D4—138no—
1419C4×D4—138no—
1420C4×D4C22×D1318yescomplemented
1421C4×D4C22×D1318yescomplemented
1422#117—138no—
1423#117—138no—
1424#117—138no—
1425#117—138no—
1426C2×C4⋊C4—131no—
1427C2×C4⋊C4—131no—
1428C2×C4⋊C4—131no—
1429C2×C4⋊C4—131no—
1430C2×C4⋊C4—131no—
1431C2×C4⋊C4—131no—
1432C2×C4⋊C4—131no—
1433C2×C4⋊C4—131no—
1434C2×C4⋊C4—131no—
1435C2×C4⋊C4—131no—
1436C2×C4⋊C4—131no—
1437C2×C4⋊C4—131no—
1438C2×C4⋊C4—131no—
1439C2×C4⋊C4—131no—
1440C2×C4⋊C4—131no—
1441C2×C4⋊C4—131no—
1442C2×C4⋊C4—131no—
1443C2×C4⋊C4—131no—
1444C2×C4⋊C4—131no—
1445C2×C4⋊C4—131no—
1446C2×C4⋊C4—131no—
1447C2×C4⋊C4—131no—
1448C2×C4⋊C4—131no—
1449C2×C4⋊C4—131no—
1450C2×C4⋊C4—138no—
1451C2×C4⋊C4—138no—
1452C2×C4⋊C4—138no—
1453C2×C4⋊C4—138no—
1454C2×C4⋊C4C22×D1311yescharacteristic
1455C2×C4⋊C4C22×D1311yescharacteristic
1456C2×C4⋊C4C22×D1311yescharacteristic
1457C2×C4⋊C4C22×D1311yescharacteristic
1458C2×C4⋊C4C22×D1311yescharacteristic
1459C2×C4⋊C4C22×D1311yescharacteristic
1460C2×C4⋊C4C22×D1311yescharacteristic
1461C2×C4⋊C4C22×D1311yescharacteristic
1462C2×C4⋊C4C22×D1311yescharacteristic
1463C2×C4⋊C4C22×D1311yescharacteristic
1464C2×C4⋊C4C22×D1311yescharacteristic
1465C2×C4⋊C4C22×D1311yescharacteristic
1466C2×C4⋊C4C22×D1311yescharacteristic
1467C2×C4⋊C4C22×D1311yescharacteristic
1468C2×C4⋊C4C22×D1318yescomplemented
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—131no—
1480C2×C22⋊C4—131no—
1481C2×C22⋊C4—131no—
1482C2×C22⋊C4—131no—
1483C2×C22⋊C4—131no—
1484C2×C22⋊C4—131no—
1485C2×C22⋊C4—131no—
1486C2×C22⋊C4—131no—
1487C2×C22⋊C4—131no—
1488C2×C22⋊C4—131no—
1489C2×C22⋊C4—131no—
1490C2×C22⋊C4—131no—
1491C2×C22⋊C4—138no—
1492C2×C22⋊C4—131no—
1493C2×C22⋊C4—131no—
1494C2×C22⋊C4—131no—
1495C2×C22⋊C4—131no—
1496C2×C22⋊C4—131no—
1497C2×C22⋊C4—131no—
1498C2×C22⋊C4—131no—
1499C2×C22⋊C4—131no—
1500C2×C22⋊C4—131no—
1501C2×C22⋊C4—131no—
1502C2×C22⋊C4—131no—
1503C2×C22⋊C4—131no—
1504C2×C22⋊C4—131no—
1505C2×C22⋊C4—131no—
1506C2×C22⋊C4—131no—
1507C2×C22⋊C4—131no—
1508C2×C22⋊C4—131no—
1509C2×C22⋊C4—131no—
1510C2×C22⋊C4—138no—
1511C2×C22⋊C4—138no—
1512C2×C22⋊C4—138no—
1513C2×C22⋊C4—138no—
1514C2×C22⋊C4—138no—
1515C2×C22⋊C4—138no—
1516C2×C22⋊C4C22×D1311yescharacteristic
1517C2×C22⋊C4C22×D1311yescharacteristic
1518C2×C22⋊C4C22×D1311yescharacteristic
1519C2×C22⋊C4C22×D1311yescharacteristic
1520C2×C22⋊C4C22×D1311yescharacteristic
1521C2×C22⋊C4C22×D1311yescharacteristic
1522C2×C22⋊C4C22×D1311yescharacteristic
1523C2×C22⋊C4C22×D1311yescharacteristic
1524C2×C22⋊C4C22×D1311yescharacteristic
1525C2×C22⋊C4C22×D1311yescharacteristic
1526C2×C42—131no—
1527C2×C42—131no—
1528C2×C42—131no—
1529C2×C42—131no—
1530C2×C42—131no—
1531C2×C42—131no—
1532C2×C42—131no—
1533C2×C42—131no—
1534C2×C42—138no—
1535C2×C42C22×D1311yescharacteristic
1536C2×C42C22×D1311yescharacteristic
1537C2×C13—42no—
1538C2×C13—42no—
1539C2×C13—42no—
1540C2×C13#356014yescomplemented
1541C2×C13C22×H(5,𝔽2)11yescharacteristic
1542C2×C13C2×#58511yescharacteristic
1543C2×C13C2×#58511yescharacteristic
1544D13—24no—
1545D13—42no—
1546D13—42no—
1547D13—42no—
1548D13—42no—
1549D13—42no—
1550C24—131no—
1551C24—131no—
1552C24—131no—
1553C24—131no—
1554C24—131no—
1555C24—131no—
1556C24—134no—
1557C24—134no—
1558C24—134no—
1559C24—264no—
1560C24—522no—
1561C24—522no—
1562C24—522no—
1563C24—522no—
1564C24—522no—
1565C24—522no—
1566C24—522no—
1567C24—522no—
1568C24C23×D1311yescharacteristic
1569C24C23×D1311yescharacteristic
1570C24C23×D1311yescharacteristic
1571#41—5216no—
1572#41—5216no—
1573#41—5216no—
1574#41—5216no—
1575C2×Q8—42no—
1576C2×Q8—134no—
1577C2×Q8—134no—
1578C2×Q8—134no—
1579C2×Q8—134no—
1580C2×Q8—522no—
1581C2×Q8—522no—
1582C2×Q8—522no—
1583C2×Q8—522no—
1584C2×Q8C23×D1314yes—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—134no—
1589C2×D4—134no—
1590C2×D4—134no—
1591C2×D4—134no—
1592C2×D4—134no—
1593C2×D4—134no—
1594C2×D4—134no—
1595C2×D4—134no—
1596C2×D4—134no—
1597C2×D4—134no—
1598C2×D4—134no—
1599C2×D4—134no—
1600C2×D4—134no—
1601C2×D4—134no—
1602C2×D4—134no—
1603C2×D4—134no—
1604C2×D4—134no—
1605C2×D4—134no—
1606C2×D4—134no—
1607C2×D4—134no—
1608C2×D4—134no—
1609C2×D4—134no—
1610C2×D4—134no—
1611C2×D4—134no—
1612C2×D4—264no—
1613C2×D4—264no—
1614C2×D4—264no—
1615C2×D4—264no—
1616C2×D4—264no—
1617C2×D4—264no—
1618C2×D4—522no—
1619C2×D4—522no—
1620C2×D4—522no—
1621C2×D4—522no—
1622C2×D4—522no—
1623C2×D4—522no—
1624C2×D4—522no—
1625C2×D4—522no—
1626C2×D4—5216no—
1627C2×D4—522no—
1628C2×D4—522no—
1629C2×D4—522no—
1630C2×D4—522no—
1631C2×D4—522no—
1632C2×D4—522no—
1633C2×D4—522no—
1634C2×D4—522no—
1635C2×D4—522no—
1636C2×D4—522no—
1637C2×D4—5216no—
1638C2×D4C23×D1314yes—
1639C2×D4C23×D1314yes—
1640C2×D4C23×D1314yes—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—131no—
1647C22×C4—131no—
1648C22×C4—131no—
1649C22×C4—131no—
1650C22×C4—131no—
1651C22×C4—131no—
1652C22×C4—131no—
1653C22×C4—131no—
1654C22×C4—131no—
1655C22×C4—131no—
1656C22×C4—134no—
1657C22×C4—134no—
1658C22×C4—134no—
1659C22×C4—134no—
1660C22×C4—134no—
1661C22×C4—134no—
1662C22×C4—134no—
1663C22×C4—134no—
1664C22×C4—134no—
1665C22×C4—134no—
1666C22×C4—134no—
1667C22×C4—134no—
1668C22×C4—134no—
1669C22×C4—134no—
1670C22×C4—134no—
1671C22×C4—134no—
1672C22×C4—134no—
1673C22×C4—264no—
1674C22×C4—264no—
1675C22×C4—522no—
1676C22×C4—522no—
1677C22×C4—522no—
1678C22×C4—522no—
1679C22×C4—522no—
1680C22×C4—522no—
1681C22×C4—522no—
1682C22×C4—522no—
1683C22×C4—522no—
1684C22×C4—522no—
1685C22×C4—522no—
1686C22×C4—522no—
1687C22×C4—522no—
1688C22×C4—522no—
1689C22×C4—522no—
1690C22×C4C23×D1311yescharacteristic
1691C22×C4C23×D1311yescharacteristic
1692C22×C4C23×D1311yescharacteristic
1693C22×C4C23×D1311yescharacteristic
1694C22×C4C23×D1311yescharacteristic
1695C22×C4C23×D1311yescharacteristic
1696C22×C4C23×D1311yescharacteristic
1697C22×C4C23×D1311yescharacteristic
1698C22×C4C23×D1311yescharacteristic
1699C22×C4C23×D1311yescharacteristic
1700C22×C4C23×D1311yescharacteristic
1701C22×C4C23×D1311yescharacteristic
1702C22×C4C23×D1314yes—
1703C22×C4C23×D1314yes—
1704C22×C4C23×D1314yes—
1705C22×C4C23×D1314yes—
1706C22×C4C23×D1314yes—
1707C4⋊C4—134no—
1708C4⋊C4—134no—
1709C4⋊C4—134no—
1710C4⋊C4—134no—
1711C4⋊C4—134no—
1712C4⋊C4—134no—
1713C4⋊C4—134no—
1714C4⋊C4—134no—
1715C4⋊C4—134no—
1716C4⋊C4—134no—
1717C4⋊C4—134no—
1718C4⋊C4—134no—
1719C4⋊C4—134no—
1720C4⋊C4—134no—
1721C4⋊C4—134no—
1722C4⋊C4—134no—
1723C4⋊C4—134no—
1724C4⋊C4—134no—
1725C4⋊C4—134no—
1726C4⋊C4—134no—
1727C4⋊C4—134no—
1728C4⋊C4—134no—
1729C4⋊C4—134no—
1730C4⋊C4—134no—
1731C4⋊C4C23×D1314yes—
1732C4⋊C4C23×D1314yes—
1733C4⋊C4C23×D1314yes—
1734C4⋊C4C23×D1314yes—
1735C4⋊C4C23×D1314yes—
1736C4⋊C4C23×D1314yes—
1737C4⋊C4C23×D1314yes—
1738C4⋊C4C23×D1314yes—
1739C4⋊C4C23×D1314yes—
1740C4⋊C4C23×D1314yes—
1741C4⋊C4C23×D1314yes—
1742C4⋊C4C23×D1314yes—
1743C4⋊C4C23×D1314yes—
1744C4⋊C4C23×D1314yes—
1745C22⋊C4—134no—
1746C22⋊C4—134no—
1747C22⋊C4—134no—
1748C22⋊C4—134no—
1749C22⋊C4—134no—
1750C22⋊C4—134no—
1751C22⋊C4—134no—
1752C22⋊C4—134no—
1753C22⋊C4—134no—
1754C22⋊C4—134no—
1755C22⋊C4—134no—
1756C22⋊C4—134no—
1757C22⋊C4—134no—
1758C22⋊C4—134no—
1759C22⋊C4—134no—
1760C22⋊C4—134no—
1761C22⋊C4—134no—
1762C22⋊C4—134no—
1763C22⋊C4—134no—
1764C22⋊C4—134no—
1765C22⋊C4—134no—
1766C22⋊C4—134no—
1767C22⋊C4—134no—
1768C22⋊C4—134no—
1769C22⋊C4—134no—
1770C22⋊C4—134no—
1771C22⋊C4—134no—
1772C22⋊C4—134no—
1773C22⋊C4—134no—
1774C22⋊C4—134no—
1775C22⋊C4—134no—
1776C22⋊C4—134no—
1777C22⋊C4—134no—
1778C22⋊C4—134no—
1779C22⋊C4—134no—
1780C22⋊C4—134no—
1781C22⋊C4—134no—
1782C22⋊C4—134no—
1783C22⋊C4—134no—
1784C22⋊C4—134no—
1785C22⋊C4C23×D1314yes—
1786C22⋊C4C23×D1314yes—
1787C22⋊C4C23×D1314yes—
1788C22⋊C4C23×D1314yes—
1789C22⋊C4C23×D1314yes—
1790C22⋊C4C23×D1314yes—
1791C22⋊C4C23×D1314yes—
1792C22⋊C4C23×D1314yes—
1793C22⋊C4C23×D1314yes—
1794C22⋊C4C23×D1314yes—
1795C42—134no—
1796C42—134no—
1797C42—134no—
1798C42—134no—
1799C42—134no—
1800C42—134no—
1801C42—134no—
1802C42—134no—
1803C42C23×D1314yes—
1804C42C23×D1314yes—
1805C13C2×#356011yescharacteristic, complemented, Sylow
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—134no—
1816C23—132no—
1817C23—132no—
1818C23—132no—
1819C23—132no—
1820C23—132no—
1821C23—132no—
1822C23—268no—
1823C23—262no—
1824C23—262no—
1825C23—262no—
1826C23—262no—
1827C23—262no—
1828C23—262no—
1829C23—262no—
1830C23—262no—
1831C23—262no—
1832C23—262no—
1833C23—262no—
1834C23—262no—
1835C23—262no—
1836C23—262no—
1837C23—262no—
1838C23—262no—
1839C23—262no—
1840C23—524no—
1841C23—524no—
1842C23—524no—
1843C23—524no—
1844C23—524no—
1845C23—524no—
1846C23—524no—
1847C23—524no—
1848C23—1048no—
1849C23—1048no—
1850C23—1048no—
1851C23C24×D1312yes—
1852C23C24×D1312yes—
1853C23C24×D1312yes—
1854C23C24×D1311yescharacteristic
1855Q8—44no—
1856Q8—524no—
1857Q8—524no—
1858Q8—524no—
1859Q8—524no—
1860D4—44no—
1861D4—44no—
1862D4—44no—
1863D4—268no—
1864D4—268no—
1865D4—268no—
1866D4—268no—
1867D4—268no—
1868D4—268no—
1869D4—524no—
1870D4—524no—
1871D4—524no—
1872D4—524no—
1873D4—524no—
1874D4—524no—
1875D4—524no—
1876D4—524no—
1877D4—524no—
1878D4—524no—
1879D4—524no—
1880D4—524no—
1881D4—524no—
1882D4—524no—
1883D4—524no—
1884D4—524no—
1885D4—524no—
1886D4—524no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—44no—
1904C2×C4—132no—
1905C2×C4—132no—
1906C2×C4—132no—
1907C2×C4—132no—
1908C2×C4—132no—
1909C2×C4—132no—
1910C2×C4—132no—
1911C2×C4—132no—
1912C2×C4—132no—
1913C2×C4—132no—
1914C2×C4—268no—
1915C2×C4—268no—
1916C2×C4—262no—
1917C2×C4—262no—
1918C2×C4—262no—
1919C2×C4—262no—
1920C2×C4—262no—
1921C2×C4—262no—
1922C2×C4—262no—
1923C2×C4—262no—
1924C2×C4—262no—
1925C2×C4—262no—
1926C2×C4—524no—
1927C2×C4—524no—
1928C2×C4—524no—
1929C2×C4—524no—
1930C2×C4—524no—
1931C2×C4—524no—
1932C2×C4—524no—
1933C2×C4—524no—
1934C2×C4—524no—
1935C2×C4—524no—
1936C2×C4—524no—
1937C2×C4—524no—
1938C2×C4—524no—
1939C2×C4—524no—
1940C2×C4—524no—
1941C2×C4C24×D1312yes—
1942C2×C4C24×D1312yes—
1943C2×C4C24×D1312yes—
1944C2×C4C24×D1312yes—
1945C2×C4C24×D1312yes—
1946C2×C4C24×D1312yes—
1947C2×C4C24×D1312yes—
1948C2×C4C24×D1312yes—
1949C2×C4C24×D1312yes—
1950C2×C4C24×D1312yes—
1951C2×C4C24×D1312yes—
1952C2×C4C24×D1312yes—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—44no—
1963C22—44no—
1964C22—44no—
1965C22—134no—
1966C22—262no—
1967C22—268no—
1968C22—262no—
1969C22—262no—
1970C22—262no—
1971C22—262no—
1972C22—262no—
1973C22—262no—
1974C22—262no—
1975C22—262no—
1976C22—262no—
1977C22—262no—
1978C22—262no—
1979C22—262no—
1980C22—262no—
1981C22—262no—
1982C22—262no—
1983C22—262no—
1984C22—524no—
1985C22—524no—
1986C22—524no—
1987C22—524no—
1988C22—524no—
1989C22—1048no—
1990C22—1048no—
1991C22—1048no—
1992C22#1171964812yes—
1993C22D13×H(5,𝔽2)12yes—
1994C22#1171965212yes—
1995C22C25×D1311yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—22no—
2008C4—262no—
2009C4—262no—
2010C4—262no—
2011C4—262no—
2012C4—262no—
2013C4—262no—
2014C4—262no—
2015C4—262no—
2016C4—262no—
2017C4—262no—
2018C2—42no—
2019C2—42no—
2020C2—42no—
2021C2—264no—
2022C2—522no—
2023C2—522no—
2024C2—522no—
2025C2—522no—
2026C2—522no—
2027C2#1312938914yesdirect product factor
2028C2C2×D13×H(5,𝔽2)11yescharacteristic
2029C2C2×#1171964811yescharacteristic
2030C2C2×#1171965211yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#539C2
socleC23×C13C25
hypercenterC2×#539D13
hypocenterC13C2×#3560
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #13129389C2direct (N × H)
2. C2×#11719404C2semidirect
3. C2×#11719351C2semidirect
4. C2×#11719371C2semidirect
5. C2×#11719325C2semidirect
6. C2×#11719400C2semidirect
7. C2×#11719263C2semidirect
8. C2×#11719219C2semidirect
9. C2×#11719366C2semidirect
10. C2×#11719364C2semidirect
11. C2×#11719342C2semidirect
12. C2×#11719336C2semidirect
13. C2×#11719212C2semidirect
14. C2×#11719317C2semidirect
15. C2×#11719255C2semidirect
16. C2×#11719359C2semidirect
17. C2×#11719335C2semidirect
18. C2×#11719345C2semidirect
19. C2×#11719367C2semidirect
20. C2×#11719397C2semidirect
21. C2×#11719412C2semidirect
22. C2×#11719409C2semidirect
23. C2×#11719409C2semidirect
24. C2×#11719362C2semidirect
25. C2×#11719362C2semidirect
26. C2×#11719265C2semidirect
27. C2×#11719334C2semidirect
28. C2×#11719358C2semidirect
29. C2×#11719253C2semidirect
30. C2×#11719396C2semidirect
31. C2×D13×#126C2semidirect
32. C2×C13×#539C2semidirect
33. C22×#6131C22semidirect
35. C22×#6127C22semidirect
36. C22×#6127C22semidirect
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×#88198C22semidirect
58. C2×#88194C22semidirect
60. C2×#88193C22semidirect
62. C2×#88192C22semidirect
63. C2×#88192C22semidirect
66. C2×#88191C22semidirect
67. C2×#88191C22semidirect
70. C2×#88184C22semidirect
71. C2×#88184C22semidirect
72. C2×#88184C22semidirect
74. C2×#88183C22semidirect
75. C2×#88183C22semidirect
76. C2×C4×C22⋊D13C22semidirect
77. C2×C4×C22⋊D13C22semidirect
78. C2×C4×C22⋊D13C22semidirect
79. C2×C4×C22⋊D13C22semidirect
80. C2×C4×C22⋊D13C22semidirect
81. C2×C4×C22⋊D13C22semidirect
82. C2×C4×C22⋊D13C22semidirect
83. C22×#6103C22semidirect
84. C2×#88178C22semidirect
85. #11719412C22semidirect
86. #11719409C22semidirect
87. #11719409C22semidirect
88. D13×#126C22semidirect
89. #11719404C22semidirect
90. #11719400C22semidirect
91. #11719397C22semidirect
92. #11719396C22semidirect
93. #11719371C22semidirect
94. #11719367C22semidirect
95. #11719366C22semidirect
96. #11719364C22semidirect
97. #11719362C22semidirect
98. #11719362C22semidirect
99. #11719359C22semidirect
100. #11719358C22semidirect
101. #11719351C22semidirect
102. #11719345C22semidirect
103. #11719342C22semidirect
104. #11719336C22semidirect
105. #11719335C22semidirect
106. #11719334C22semidirect
107. #11719325C22semidirect
108. #11719317C22semidirect
109. #11719265C22semidirect
110. #11719263C22semidirect
111. #11719255C22semidirect
112. #11719253C22semidirect
113. #11719219C22semidirect
114. C2×#88152C22semidirect
115. C2×#88152C22semidirect
116. C2×#88152C22semidirect
117. C2×#88152C22semidirect
118. C2×#88152C22semidirect
119. C2×#88152C22semidirect
120. C2×#88152C22semidirect
121. C2×#88152C22semidirect
122. C2×#88152C22semidirect
123. C2×#88152C22semidirect
124. C2×#88151C22semidirect
125. C2×#88151C22semidirect
126. C2×#88151C22semidirect
127. C2×#88150C22semidirect
128. C2×#88150C22semidirect
129. C2×#88150C22semidirect
130. C2×#88150C22semidirect
131. C2×#88150C22semidirect
132. C2×#88150C22semidirect
133. #11719212C22semidirect
138. C2×#88149C22semidirect
139. C2×#88149C22semidirect
140. C2×#88149C22semidirect
141. C2×#88149C22semidirect
146. C2×#88148C22semidirect
147. C2×#88148C22semidirect
148. C2×#88148C22semidirect
149. C2×#88148C22semidirect
150. C2×#88148C22semidirect
151. C2×#88148C22semidirect
152. C2×#88148C22semidirect
153. C2×#88147C22semidirect
154. C2×#88147C22semidirect
155. C2×#88147C22semidirect
156. C2×#88147C22semidirect
157. C2×#88147C22semidirect
158. C2×#88147C22semidirect
159. C2×#88146C22semidirect
160. C2×#88146C22semidirect
161. C2×#88146C22semidirect
162. C2×C4⋊C4×D13C22semidirect
163. C2×C4⋊C4×D13C22semidirect
164. C2×C4⋊C4×D13C22semidirect
165. C2×C4⋊C4×D13C22semidirect
166. C2×#88144C22semidirect
167. C2×#88143C22semidirect
168. C2×#88142C22semidirect
169. C2×#88142C22semidirect
170. C2×#88141C22semidirect
171. C2×#88140C22semidirect
173. C2×#88139C22semidirect
174. C2×#88139C22semidirect
175. C2×#88139C22semidirect
176. C2×#88139C22semidirect
181. C2×#88138C22semidirect
182. C2×#88138C22semidirect
183. C2×#88138C22semidirect
184. C2×#88138C22semidirect
185. C2×#88138C22semidirect
187. C2×#88137C22semidirect
188. C2×#88137C22semidirect
189. C2×#88137C22semidirect
190. C2×#88137C22semidirect
195. C2×#88136C22semidirect
196. C2×#88136C22semidirect
197. C2×#88135C22semidirect
201. C2×C22⋊C4×D13C22semidirect
202. C2×C22⋊C4×D13C22semidirect
203. C2×C22⋊C4×D13C22semidirect
204. C2×#88133C22semidirect
205. C2×#88133C22semidirect
206. C2×#88133C22semidirect
207. C2×#88133C22semidirect
208. C2×#88133C22semidirect
209. C2×#88132C22semidirect
210. C2×#88131C22semidirect
211. C2×#88130C22semidirect
213. C2×#88129C22semidirect
214. C2×C4×D52C22semidirect
215. C2×C4×D52C22semidirect
216. C2×C4×D52C22semidirect
217. C2×C42×D13C22semidirect
218. C2×#88124C22semidirect
245. C2×#6131C23semidirect
251. C2×#6127C23semidirect
252. C2×#6127C23semidirect
253. C2×#6127C23semidirect
288. C13×#126C23semidirect
289. C13×#126C23semidirect
290. C13×#125C23semidirect
291. C13×#125C23semidirect
294. C13×#123C23semidirect
295. C13×#123C23semidirect
296. C13×C22⋊Q8C23semidirect
297. C13×C22⋊Q8C23semidirect
298. C13×C22⋊Q8C23semidirect
300. C4×D4×C13C23semidirect
301. C4×D4×C13C23semidirect
316. C2×C13×C4⋊C4C23semidirect
338. #88200C23semidirect
339. #88198C23semidirect
340. #88194C23semidirect
342. #88193C23semidirect
344. #88192C23semidirect
345. #88192C23semidirect
348. #88191C23semidirect
349. #88191C23semidirect
352. #88184C23semidirect
353. #88184C23semidirect
354. #88184C23semidirect
356. #88183C23semidirect
357. #88183C23semidirect
358. C4×C22⋊D13C23semidirect
359. C4×C22⋊D13C23semidirect
360. C4×C22⋊D13C23semidirect
361. C4×C22⋊D13C23semidirect
362. C4×C22⋊D13C23semidirect
363. C4×C22⋊D13C23semidirect
364. C4×C22⋊D13C23semidirect
397. C2×#6103C23semidirect
406. #88178C23semidirect
431. #88152C23semidirect
432. #88152C23semidirect
433. #88152C23semidirect
434. #88152C23semidirect
435. #88152C23semidirect
436. #88152C23semidirect
437. #88152C23semidirect
438. #88152C23semidirect
439. #88152C23semidirect
440. #88152C23semidirect
441. #88151C23semidirect
442. #88151C23semidirect
443. #88151C23semidirect
444. #88150C23semidirect
445. #88150C23semidirect
446. #88150C23semidirect
447. #88150C23semidirect
448. #88150C23semidirect
449. #88150C23semidirect
454. #88149C23semidirect
455. #88149C23semidirect
456. #88149C23semidirect
457. #88149C23semidirect
462. #88148C23semidirect
463. #88148C23semidirect
464. #88148C23semidirect
465. #88148C23semidirect
466. #88148C23semidirect
467. #88148C23semidirect
468. #88148C23semidirect
469. #88147C23semidirect
470. #88147C23semidirect
471. #88147C23semidirect
472. #88147C23semidirect
473. #88147C23semidirect
474. #88147C23semidirect
475. #88146C23semidirect
476. #88146C23semidirect
477. #88146C23semidirect
478. C4⋊C4×D13C23semidirect
479. C4⋊C4×D13C23semidirect
480. C4⋊C4×D13C23semidirect
481. C4⋊C4×D13C23semidirect
482. #88144C23semidirect
483. #88143C23semidirect
484. #88142C23semidirect
485. #88142C23semidirect
486. #88141C23semidirect
487. #88140C23semidirect
489. #88139C23semidirect
490. #88139C23semidirect
491. #88139C23semidirect
492. #88139C23semidirect
497. #88138C23semidirect
498. #88138C23semidirect
499. #88138C23semidirect
500. #88138C23semidirect
501. #88138C23semidirect
503. #88137C23semidirect
504. #88137C23semidirect
505. #88137C23semidirect
506. #88137C23semidirect
511. #88136C23semidirect
512. #88136C23semidirect
513. #88135C23semidirect
517. C22⋊C4×D13C23semidirect
518. C22⋊C4×D13C23semidirect
519. C22⋊C4×D13C23semidirect
520. #88133C23semidirect
521. #88133C23semidirect
522. #88133C23semidirect
523. #88133C23semidirect
524. #88133C23semidirect
525. #88132C23semidirect
526. #88131C23semidirect
527. #88130C23semidirect
529. #88129C23semidirect
530. C4×D52C23semidirect
531. C4×D52C23semidirect
532. C4×D52C23semidirect
533. C42×D13C23semidirect
534. #88124C23semidirect
812. C2×#539D13semidirect
996. #539C2×D13semidirect
1027. C2×#126C2×D13semidirect
1028. C2×#126C2×D13semidirect
1032. C2×#125C2×D13semidirect
1033. C2×#125C2×D13semidirect
1065. C2×#123C2×D13semidirect
1066. C2×#123C2×D13semidirect
1079. C2×C22⋊Q8C2×D13semidirect
1080. C2×C22⋊Q8C2×D13semidirect
1081. C2×C22⋊Q8C2×D13semidirect
1137. C2×C4×D4C2×D13semidirect
1138. C2×C4×D4C2×D13semidirect
1147. C22×C4⋊C4C2×D13semidirect
1310. #126C22×D13semidirect
1311. #126C22×D13semidirect
1315. #125C22×D13semidirect
1316. #125C22×D13semidirect
1348. #123C22×D13semidirect
1349. #123C22×D13semidirect
1362. C22⋊Q8C22×D13semidirect
1363. C22⋊Q8C22×D13semidirect
1364. C22⋊Q8C22×D13semidirect
1420. C4×D4C22×D13semidirect
1421. C4×D4C22×D13semidirect
1468. C2×C4⋊C4C22×D13semidirect
1540. C2×C13#3560semidirect
1805. C13C2×#3560semidirect
2027. C2#13129389direct (N × H)

Maximal subgroups

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

subgroupindex
#131293892
C2×#117194042
C2×#117193512
C2×#117193712
C2×#117193252
C2×#117194002
C2×#117192632
C2×#117192192
C2×#117193662
C2×#117193642
C2×#117193422
C2×#117193362
C2×#117192122
C2×#117193172
C2×#117192552
C2×#117193592
C2×#117193352
C2×#117193452
C2×#117193672
C2×#117193972
C2×#117194122
C2×#117194092
C2×#117193622
C2×#117192652
C2×#117193342
C2×#117193582
C2×#117192532
C2×#117193962
C2×D13×#1262
C2×C13×#5392
C2×#356013