Finite Group Databasebeta

← C2×#13129011 #16770187

Subgroups — C2×#13129011 #16770187

Order 3328.

7430 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#13129011C2132yesmaximal, direct product factor
2C2×#11719351C211yesmaximal, characteristic, complemented
3C2×#11719405C211yesmaximal, characteristic, complemented
4C2×#11719352C211yesmaximal, characteristic, complemented
5C2×#11719371C211yesmaximal, characteristic, complemented
6C2×#11719264C211yesmaximal, characteristic, complemented
7C2×#11719400C211yesmaximal, characteristic, complemented
8C2×#11719219C211yesmaximal, characteristic, complemented
9C2×#11719399C211yesmaximal, characteristic, complemented
10C2×#11719398C211yesmaximal, characteristic, complemented
11C2×#11719364C211yesmaximal, characteristic, complemented
12C2×#11719410C211yesmaximal, characteristic, complemented
13C2×#11719410C211yesmaximal, characteristic, complemented
14C2×#11719336C211yesmaximal, characteristic, complemented
15C2×#11719212C211yesmaximal, characteristic, complemented
16C2×#11719255C211yesmaximal, characteristic, complemented
17C2×#11719335C211yesmaximal, characteristic, complemented
18C2×#11719345C211yesmaximal, characteristic, complemented
19C2×#11719415C211yesmaximal, characteristic, complemented
20C2×#11719368C211yesmaximal, characteristic, complemented
21C2×#11719267C211yesmaximal, characteristic, complemented
22C2×#11719365C211yesmaximal, characteristic, complemented
23C2×#11719409C211yesmaximal, characteristic, complemented
24C2×#11719362C211yesmaximal, characteristic, complemented
25C2×#11719362C211yesmaximal, characteristic, complemented
26C2×#11719318C211yesmaximal, characteristic, complemented
27C2×#11719312C211yesmaximal, characteristic, complemented
28C2×#11719358C211yesmaximal, characteristic, complemented
29C2×#11719332C211yesmaximal, characteristic, complemented
30C2×#11719252C211yesmaximal, characteristic, complemented
31C2×D13×#123C211yesmaximal, characteristic, complemented
32C2×C13×#539C211yesmaximal, characteristic, complemented
33C22×#6131C2211yescharacteristic
34C22×D4×D13C2211yescharacteristic
35C22×#6127C2211yescharacteristic
36C22×#6127C2211yescharacteristic, complemented
37C23×D52C2211yescharacteristic
38C23×C4×D13C2211yescharacteristic, complemented
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, complemented
56C2×#88200C2211yescharacteristic, complemented
57C2×#88198C2211yescharacteristic, complemented
58C2×#88194C2211yescharacteristic
59C2×#88194C2211yescharacteristic, complemented
60C2×#88193C2211yescharacteristic, complemented
61C2×#88192C2211yescharacteristic
62C2×#88192C2211yescharacteristic, complemented
63C2×#88191C2211yescharacteristic
64C2×#88191C2211yescharacteristic
65C2×#88191C2211yescharacteristic, complemented
66C2×#88191C2211yescharacteristic, complemented
67C2×#88190C2211yescharacteristic, complemented
68C2×#88189C2211yescharacteristic
69C2×#88184C2211yescharacteristic, complemented
70C2×#88184C2211yescharacteristic, complemented
71C2×#88184C2211yescharacteristic, complemented
72C2×#88184C2211yescharacteristic, complemented
73C2×#88184C2211yescharacteristic, complemented
74C2×#88183C2211yescharacteristic
75C2×#88183C2211yescharacteristic, complemented
76C2×#88183C2211yescharacteristic, complemented
77C2×#88183C2211yescharacteristic, 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
83C2×C4×C22⋊D13C2211yescharacteristic, complemented
84C2×#88178C2211yescharacteristic, complemented
85#11719415C22116yescomplemented
86#11719410C22116yescomplemented
87#11719410C22116yescomplemented
88#11719409C22116yescomplemented
89#11719405C22116yescomplemented
90#11719400C22116yescomplemented
91#11719399C22116yescomplemented
92#11719398C22116yescomplemented
93#11719371C22116yescomplemented
94#11719368C22116yescomplemented
95#11719365C22116yescomplemented
96#11719364C22116yescomplemented
97#11719362C22116yescomplemented
98#11719362C22116yescomplemented
99#11719358C22116yescomplemented
100D13×#123C22116yescomplemented
101#11719352C22116yescomplemented
102#11719351C22116yescomplemented
103#11719345C22116yescomplemented
104#11719336C22116yescomplemented
105#11719335C22116yescomplemented
106#11719332C22116yescomplemented
107#11719318C22116yescomplemented
108#11719312C22116yescomplemented
109#11719267C22116yescomplemented
110#11719264C22116yescomplemented
111#11719255C22116yescomplemented
112#11719252C22116yescomplemented
113#11719219C22116yescomplemented
114C2×#88152C2211yescharacteristic, complemented
115C2×#88152C2211yescharacteristic, complemented
116C2×#88152C2211yescharacteristic, complemented
117C2×#88152C2211yescharacteristic, complemented
118C2×#88152C2211yescharacteristic, complemented
119C2×#88152C2211yescharacteristic, complemented
120C2×#88151C2211yescharacteristic, complemented
121C2×#88151C2211yescharacteristic, complemented
122C2×#88151C2211yescharacteristic, complemented
123C2×#88150C2211yescharacteristic, complemented
124C2×#88150C2211yescharacteristic, complemented
125C2×#88150C2211yescharacteristic, complemented
126C2×#88150C2211yescharacteristic, complemented
127C2×#88150C2211yescharacteristic, complemented
128C2×#88150C2211yescharacteristic, complemented
129C2×#88150C2211yescharacteristic, complemented
130#11719212C22116yescomplemented
131C2×#88149C2211yescharacteristic
132C2×#88149C2211yescharacteristic
133C2×#88149C2211yescharacteristic
134C2×#88149C2211yescharacteristic, complemented
135C2×#88149C2211yescharacteristic, complemented
136C2×#88149C2211yescharacteristic, complemented
137C2×#88149C2211yescharacteristic, complemented
138C2×#88149C2211yescharacteristic, complemented
139C2×#88148C2211yescharacteristic
140C2×#88148C2211yescharacteristic
141C2×#88148C2211yescharacteristic
142C2×#88148C2211yescharacteristic
143C2×#88148C2211yescharacteristic, complemented
144C2×#88148C2211yescharacteristic, complemented
145C2×#88148C2211yescharacteristic, complemented
146C2×#88148C2211yescharacteristic, complemented
147C2×#88148C2211yescharacteristic, complemented
148C2×#88148C2211yescharacteristic, complemented
149C2×#88148C2211yescharacteristic, complemented
150C2×#88148C2211yescharacteristic, complemented
151C2×#88148C2211yescharacteristic, complemented
152C2×#88147C2211yescharacteristic
153C2×#88147C2211yescharacteristic, complemented
154C2×#88147C2211yescharacteristic, complemented
155C2×#88147C2211yescharacteristic, complemented
156C2×#88147C2211yescharacteristic, complemented
157C2×#88146C2211yescharacteristic, complemented
158C2×#88146C2211yescharacteristic, 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×#88144C2211yescharacteristic, complemented
166C2×#88144C2211yescharacteristic, complemented
167C2×#88143C2211yescharacteristic, complemented
168C2×#88143C2211yescharacteristic, 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×#88139C2211yescharacteristic, complemented
178C2×#88138C2211yescharacteristic
179C2×#88138C2211yescharacteristic
180C2×#88138C2211yescharacteristic
181C2×#88138C2211yescharacteristic, complemented
182C2×#88138C2211yescharacteristic, complemented
183C2×#88138C2211yescharacteristic, complemented
184C2×#88138C2211yescharacteristic, complemented
185C2×#88137C2211yescharacteristic
186C2×#88137C2211yescharacteristic
187C2×#88137C2211yescharacteristic, complemented
188C2×#88137C2211yescharacteristic, complemented
189C2×#88137C2211yescharacteristic, complemented
190C2×#88137C2211yescharacteristic, complemented
191C2×#88137C2211yescharacteristic, complemented
192C2×#88136C2211yescharacteristic
193C2×#88136C2211yescharacteristic
194C2×#88136C2211yescharacteristic
195C2×#88136C2211yescharacteristic
196C2×#88136C2211yescharacteristic, complemented
197C2×#88136C2211yescharacteristic, complemented
198C2×#88135C2211yescharacteristic, complemented
199C2×#88135C2211yescharacteristic, complemented
200C2×C22⋊C4×D13C2211yescharacteristic
201C2×C22⋊C4×D13C2211yescharacteristic
202C2×C22⋊C4×D13C2211yescharacteristic
203C2×C22⋊C4×D13C2211yescharacteristic, complemented
204C2×C22⋊C4×D13C2211yescharacteristic, complemented
205C2×C22⋊C4×D13C2211yescharacteristic, complemented
206C2×#88133C2211yescharacteristic, complemented
207C2×#88133C2211yescharacteristic, complemented
208C2×#88133C2211yescharacteristic, complemented
209C2×#88133C2211yescharacteristic, complemented
210C2×#88132C2211yescharacteristic, complemented
211C2×#88129C2211yescharacteristic, complemented
212C2×#88129C2211yescharacteristic, complemented
213C2×C4×D52C2211yescharacteristic
214C2×C4×D52C2211yescharacteristic, complemented
215C2×C4×D52C2211yescharacteristic, complemented
216C2×#88126C2211yescharacteristic, complemented
217C2×#88126C2211yescharacteristic, complemented
218C2×C4×Dic26C2211yescharacteristic, 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×#6131C2318yes—
246C2×D4×D13—44no—
247C2×D4×D13C2318yes—
248C2×#6127—44no—
249C2×#6127—44no—
250C2×#6127C2318yes—
251C2×#6127C2318yescomplemented
252C22×D52—44no—
253C22×D52C2311yescharacteristic
254C22×D52C2311yescharacteristic
255C22×D52C2311yescharacteristic
256C22×D52C2311yescharacteristic
257C22×D52C2311yescharacteristic
258C22×D52C2311yescharacteristic
259C22×D52C2311yescharacteristic
260C22×D52C2311yescharacteristic
261C22×D52C2311yescharacteristic
262C22×D52C2311yescharacteristic
263C22×D52C2311yescharacteristic
264C22×D52C2311yescharacteristic
265C22×D52C2318yes—
266C22×C4×D13—44no—
267C22×C4×D13C2311yescharacteristic
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×D13C2318yescomplemented
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#88201C2318yescomplemented
338#88200C2318yescomplemented
339#88198C2318yescomplemented
340#88194C2318yes—
341#88194C2318yescomplemented
342#88193C2318yescomplemented
343#88192C2318yes—
344#88192C2318yescomplemented
345#88191C2318yes—
346#88191C2318yes—
347#88191C2318yescomplemented
348#88191C2318yescomplemented
349#88190C2318yescomplemented
350#88189C2318yes—
351#88184C2318yescomplemented
352#88184C2318yescomplemented
353#88184C2318yescomplemented
354#88184C2318yescomplemented
355#88184C2318yescomplemented
356#88183C2318yes—
357#88183C2318yescomplemented
358#88183C2318yescomplemented
359#88183C2318yescomplemented
360C4×C22⋊D13C2318yescomplemented
361C4×C22⋊D13C2318yescomplemented
362C4×C22⋊D13C2318yescomplemented
363C4×C22⋊D13C2318yescomplemented
364C4×C22⋊D13C2318yescomplemented
365C4×C22⋊D13C2318yescomplemented
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×#6103C2311yescharacteristic
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#88151C2318yescomplemented
438#88151C2318yescomplemented
439#88151C2318yescomplemented
440#88150C2318yescomplemented
441#88150C2318yescomplemented
442#88150C2318yescomplemented
443#88150C2318yescomplemented
444#88150C2318yescomplemented
445#88150C2318yescomplemented
446#88150C2318yescomplemented
447#88149C2318yes—
448#88149C2318yes—
449#88149C2318yes—
450#88149C2318yescomplemented
451#88149C2318yescomplemented
452#88149C2318yescomplemented
453#88149C2318yescomplemented
454#88149C2318yescomplemented
455#88148C2318yes—
456#88148C2318yes—
457#88148C2318yes—
458#88148C2318yes—
459#88148C2318yescomplemented
460#88148C2318yescomplemented
461#88148C2318yescomplemented
462#88148C2318yescomplemented
463#88148C2318yescomplemented
464#88148C2318yescomplemented
465#88148C2318yescomplemented
466#88148C2318yescomplemented
467#88148C2318yescomplemented
468#88147C2318yes—
469#88147C2318yescomplemented
470#88147C2318yescomplemented
471#88147C2318yescomplemented
472#88147C2318yescomplemented
473#88146C2318yescomplemented
474#88146C2318yescomplemented
475#88146C2318yescomplemented
476#88146C2318yescomplemented
477#88146C2318yescomplemented
478C4⋊C4×D13C2318yescomplemented
479C4⋊C4×D13C2318yescomplemented
480C4⋊C4×D13C2318yescomplemented
481#88144C2318yescomplemented
482#88144C2318yescomplemented
483#88143C2318yescomplemented
484#88143C2318yescomplemented
485#88142C2318yescomplemented
486#88141C2318yescomplemented
487#88140C2318yescomplemented
488#88139C2318yes—
489#88139C2318yescomplemented
490#88139C2318yescomplemented
491#88139C2318yescomplemented
492#88139C2318yescomplemented
493#88139C2318yescomplemented
494#88138C2318yes—
495#88138C2318yes—
496#88138C2318yes—
497#88138C2318yescomplemented
498#88138C2318yescomplemented
499#88138C2318yescomplemented
500#88138C2318yescomplemented
501#88137C2318yes—
502#88137C2318yes—
503#88137C2318yescomplemented
504#88137C2318yescomplemented
505#88137C2318yescomplemented
506#88137C2318yescomplemented
507#88137C2318yescomplemented
508#88136C2318yes—
509#88136C2318yes—
510#88136C2318yes—
511#88136C2318yes—
512#88136C2318yescomplemented
513#88136C2318yescomplemented
514#88135C2318yescomplemented
515#88135C2318yescomplemented
516C22⋊C4×D13C2318yes—
517C22⋊C4×D13C2318yes—
518C22⋊C4×D13C2318yes—
519C22⋊C4×D13C2318yescomplemented
520C22⋊C4×D13C2318yescomplemented
521C22⋊C4×D13C2318yescomplemented
522#88133C2318yescomplemented
523#88133C2318yescomplemented
524#88133C2318yescomplemented
525#88133C2318yescomplemented
526#88132C2318yescomplemented
527#88129C2318yescomplemented
528#88129C2318yescomplemented
529C4×D52C2318yes—
530C4×D52C2318yescomplemented
531C4×D52C2318yescomplemented
532#88126C2318yescomplemented
533#88126C2318yescomplemented
534C4×Dic26C2318yescomplemented
535C2×#3533—131nomaximal, Sylow
536C24×C13C2411yescharacteristic
537C24×C13C2411yescharacteristic
538C24×C13C2411yescharacteristic
539C23×D13—24no—
540C23×D13—24no—
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—42no—
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—
627C2×D52—24no—
628C2×D52—24no—
629C2×D52—24no—
630C2×D52—416no—
631C2×D52—42no—
632C2×D52—42no—
633C2×D52—42no—
634C2×D52—42no—
635C2×D52—42no—
636C2×D52—42no—
637C2×D52—42no—
638C2×D52—42no—
639C2×D52—42no—
640C2×D52C2414yes—
641C2×D52C2414yes—
642C2×D52C2414yes—
643C2×D52C2414yes—
644C2×D52C2414yes—
645C2×D52C2414yes—
646C2×D52C2414yes—
647C2×D52C2414yes—
648C2×D52C2414yes—
649C2×D52C2414yes—
650C2×D52C2414yes—
651C2×D52C2414yes—
652C2×C4×D13—24no—
653C2×C4×D13—24no—
654C2×C4×D13—24no—
655C2×C4×D13—416no—
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#3533—1332no—
792C2×#563—131no—
793C2×#562—131no—
794C2×#562—131no—
795C2×#560—131no—
796C2×#559—131no—
797C2×#553—131no—
798C2×#553—131no—
799C2×#552—131no—
800C2×#552—131no—
801C2×#551—131no—
802C2×#551—131no—
803C2×#551—131no—
804C2×#547—131no—
805C2×#547—131no—
806C2×#546—131no—
807C2×#546—131no—
808C2×#542—131no—
809C2×#542—131no—
810C2×#540—131no—
811C2×#540—131no—
812C2×#539—131no—
813C2×#539D1311yescharacteristic, complemented
814C2×#538—131no—
815C2×#538—131no—
816C2×#538—131no—
817C2×#538—131no—
818C2×#535—131no—
819C2×#534—131no—
820C2×#525—131no—
821C2×#525—131no—
822C22×#123—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—28no—
855C22×D13—44no—
856C22×D13—44no—
857C22×D13—44no—
858C22×D13—44no—
859C22×D13—44no—
860C22×D13—44no—
861C22×D13—44no—
862C22×D13—416no—
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—44no—
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—44no—
942D52—44no—
943D52—44no—
944D52—44no—
945D52—44no—
946D52—44no—
947D52—44no—
948D52—44no—
949D52—44no—
950C4×D13—28no—
951C4×D13—28no—
952C4×D13—28no—
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—
973C23×D4—131no—
974C23×D4—131no—
975C24×C4—131no—
976#563—1316no—
977#562—1316no—
978#562—1316no—
979#560—1316no—
980#559—1316no—
981#553—1316no—
982#553—1316no—
983#552—1316no—
984#552—1316no—
985#551—1316no—
986#551—1316no—
987#551—1316no—
988#547—1316no—
989#547—1316no—
990#546—1316no—
991#546—1316no—
992#542—1316no—
993#542—1316no—
994#540—1316no—
995#540—1316no—
996#539—1316no—
997#539C2×D13116yescomplemented
998#538—1316no—
999#538—1316no—
1000#538—1316no—
1001#538—1316no—
1002#535—1316no—
1003#534—1316no—
1004C2×C4⋊Q8—131no—
1005C2×C4⋊Q8—131no—
1006C2×#127—131no—
1007C2×#127—131no—
1008C2×#126—131no—
1009C2×#126—131no—
1010C2×#126—131no—
1011C2×#126—131no—
1012C2×#126—131no—
1013C2×#126—131no—
1014C2×#126—131no—
1015C2×#126—131no—
1016C2×#126—131no—
1017C2×#126—131no—
1018C2×#126C2×D1311yescharacteristic, complemented
1019C2×#126C2×D1311yescharacteristic, complemented
1020C2×#125—131no—
1021C2×#125—131no—
1022C2×#125—131no—
1023C2×#125—131no—
1024C2×#125C2×D1311yescharacteristic, complemented
1025C2×#125C2×D1311yescharacteristic, complemented
1026C2×#124—131no—
1027C2×#124—131no—
1028C2×#124—131no—
1029C2×#124—131no—
1030C2×#124—131no—
1031C2×#124—131no—
1032C2×#124—131no—
1033C2×#124—131no—
1034C2×#124—131no—
1035C2×#124—131no—
1036#525—1316no—
1037#525—1316no—
1038C2×#123—131no—
1039C2×#123—131no—
1040C2×#123—131no—
1041C2×#123—131no—
1042C2×#123—131no—
1043C2×#123—1316no—
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×#123—131no—
1064C2×#123—131no—
1065C2×#123C2×D1311yescharacteristic
1066C2×#123C2×D1311yescharacteristic
1067C2×#123C2×D1311yescharacteristic, complemented
1068C2×#123C2×D1311yescharacteristic, complemented
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⋊Q8—131no—
1080C2×C22⋊Q8—131no—
1081C2×C22⋊Q8—131no—
1082C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1083C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1084C2×C22⋊Q8C2×D1311yescharacteristic, complemented
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×Q8—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—
1143C2×#117—131no—
1144C2×#117—131no—
1145C2×#117—131no—
1146C22×C4⋊C4—131no—
1147C22×C4⋊C4—131no—
1148C22×C4⋊C4—131no—
1149C22×C4⋊C4C2×D1311yescharacteristic, complemented
1150C22×C22⋊C4—131no—
1151C22×C22⋊C4—131no—
1152C22×C22⋊C4—131no—
1153C22×C22⋊C4—131no—
1154C22×C22⋊C4—131no—
1155C22×C22⋊C4—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—416no—
1191C2×D13—44no—
1192C2×D13—44no—
1193C2×D13—44no—
1194C2×D13—44no—
1195C2×D13—44no—
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—524no—
1228C2×#41—524no—
1229C2×#41—524no—
1230C22×Q8—131no—
1231C22×Q8—131no—
1232C22×Q8—131no—
1233C22×Q8—131no—
1234C22×Q8C22×D1311yescharacteristic
1235C22×D4—131no—
1236C22×D4—131no—
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—138no—
1248C22×D4—131no—
1249C22×D4—131no—
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—138no—
1261C22×D4—524no—
1262C22×D4—524no—
1263C22×D4C22×D1311yescharacteristic
1264C22×D4C22×D1311yescharacteristic
1265C22×D4C22×D1311yescharacteristic
1266C23×C4—131no—
1267C23×C4—131no—
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—138no—
1284C23×C4—524no—
1285C23×C4C22×D1311yescharacteristic
1286C23×C4C22×D1311yescharacteristic
1287C23×C4C22×D1311yescharacteristic
1288C23×C4C22×D1311yescharacteristic
1289C23×C4C22×D1311yescharacteristic
1290C4⋊Q8—138no—
1291C4⋊Q8—138no—
1292#127—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#126C22×D1318yescomplemented
1305#126C22×D1318yescomplemented
1306#125—138no—
1307#125—138no—
1308#125—138no—
1309#125—138no—
1310#125C22×D1318yescomplemented
1311#125C22×D1318yescomplemented
1312#124—138no—
1313#124—138no—
1314#124—138no—
1315#124—138no—
1316#124—138no—
1317#124—138no—
1318#124—138no—
1319#124—138no—
1320#124—138no—
1321#124—138no—
1322#123—138no—
1323#123—138no—
1324#123—138no—
1325#123—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#123—138no—
1347#123—138no—
1348#123C22×D1318yes—
1349#123C22×D1318yes—
1350#123C22×D1318yescomplemented
1351#123C22×D1318yescomplemented
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⋊Q8—138no—
1363C22⋊Q8—138no—
1364C22⋊Q8—138no—
1365C22⋊Q8C22×D1318yescomplemented
1366C22⋊Q8C22×D1318yescomplemented
1367C22⋊Q8C22×D1318yescomplemented
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×Q8—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—
1426#117—138no—
1427#117—138no—
1428#117—138no—
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—131no—
1451C2×C4⋊C4—131no—
1452C2×C4⋊C4—131no—
1453C2×C4⋊C4—138no—
1454C2×C4⋊C4—138no—
1455C2×C4⋊C4—138no—
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×D1311yescharacteristic
1469C2×C4⋊C4C22×D1311yescharacteristic
1470C2×C4⋊C4C22×D1318yescomplemented
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—131no—
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—131no—
1511C2×C22⋊C4—138no—
1512C2×C22⋊C4—138no—
1513C2×C22⋊C4—138no—
1514C2×C22⋊C4—138no—
1515C2×C22⋊C4—138no—
1516C2×C22⋊C4—138no—
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×C22⋊C4C22×D1311yescharacteristic
1527C2×C42—131no—
1528C2×C42—131no—
1529C2×C42—131no—
1530C2×C42—131no—
1531C2×C42—131no—
1532C2×C42—131no—
1533C2×C42—131no—
1534C2×C42—131no—
1535C2×C42C22×D1311yescharacteristic
1536C2×C42C22×D1311yescharacteristic
1537C2×C13—42no—
1538C2×C13—42no—
1539C2×C13—42no—
1540C2×C13#353314yescomplemented
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—264no—
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—
1574C2×Q8—42no—
1575C2×Q8—134no—
1576C2×Q8—134no—
1577C2×Q8—134no—
1578C2×Q8—134no—
1579C2×Q8—522no—
1580C2×Q8—522no—
1581C2×Q8—522no—
1582C2×Q8—522no—
1583C2×Q8C23×D1314yes—
1584C2×D4—42no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—134no—
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—264no—
1612C2×D4—264no—
1613C2×D4—264no—
1614C2×D4—264no—
1615C2×D4—522no—
1616C2×D4—522no—
1617C2×D4—522no—
1618C2×D4—522no—
1619C2×D4—522no—
1620C2×D4—522no—
1621C2×D4—522no—
1622C2×D4—522no—
1623C2×D4—522no—
1624C2×D4—5216no—
1625C2×D4—5216no—
1626C2×D4—522no—
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×D4C23×D1314yes—
1638C2×D4C23×D1314yes—
1639C2×D4C23×D1314yes—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—131no—
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—134no—
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—264no—
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—5216no—
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×#353311yescharacteristic, 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—268no—
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—262no—
1841C23—524no—
1842C23—524no—
1843C23—524no—
1844C23—524no—
1845C23—524no—
1846C23—524no—
1847C23—524no—
1848C23—5216no—
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—524no—
1868D4—524no—
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—268no—
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—262no—
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—268no—
1967C22—262no—
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—5216no—
1985C22—524no—
1986C22—524no—
1987C22—524no—
1988C22—524no—
1989C22—524no—
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#1312901114yesdirect 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×#3533
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #13129011C2direct (N × H)
2. C2×#11719351C2semidirect
3. C2×#11719405C2semidirect
4. C2×#11719352C2semidirect
5. C2×#11719371C2semidirect
6. C2×#11719264C2semidirect
7. C2×#11719400C2semidirect
8. C2×#11719219C2semidirect
9. C2×#11719399C2semidirect
10. C2×#11719398C2semidirect
11. C2×#11719364C2semidirect
12. C2×#11719410C2semidirect
13. C2×#11719410C2semidirect
14. C2×#11719336C2semidirect
15. C2×#11719212C2semidirect
16. C2×#11719255C2semidirect
17. C2×#11719335C2semidirect
18. C2×#11719345C2semidirect
19. C2×#11719415C2semidirect
20. C2×#11719368C2semidirect
21. C2×#11719267C2semidirect
22. C2×#11719365C2semidirect
23. C2×#11719409C2semidirect
24. C2×#11719362C2semidirect
25. C2×#11719362C2semidirect
26. C2×#11719318C2semidirect
27. C2×#11719312C2semidirect
28. C2×#11719358C2semidirect
29. C2×#11719332C2semidirect
30. C2×#11719252C2semidirect
31. C2×D13×#123C2semidirect
32. C2×C13×#539C2semidirect
36. C22×#6127C22semidirect
38. C23×C4×D13C22semidirect
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
55. C2×#88201C22semidirect
56. C2×#88200C22semidirect
57. C2×#88198C22semidirect
59. C2×#88194C22semidirect
60. C2×#88193C22semidirect
62. C2×#88192C22semidirect
65. C2×#88191C22semidirect
66. C2×#88191C22semidirect
67. C2×#88190C22semidirect
69. C2×#88184C22semidirect
70. C2×#88184C22semidirect
71. C2×#88184C22semidirect
72. C2×#88184C22semidirect
73. C2×#88184C22semidirect
75. C2×#88183C22semidirect
76. C2×#88183C22semidirect
77. C2×#88183C22semidirect
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. C2×C4×C22⋊D13C22semidirect
84. C2×#88178C22semidirect
85. #11719415C22semidirect
86. #11719410C22semidirect
87. #11719410C22semidirect
88. #11719409C22semidirect
89. #11719405C22semidirect
90. #11719400C22semidirect
91. #11719399C22semidirect
92. #11719398C22semidirect
93. #11719371C22semidirect
94. #11719368C22semidirect
95. #11719365C22semidirect
96. #11719364C22semidirect
97. #11719362C22semidirect
98. #11719362C22semidirect
99. #11719358C22semidirect
100. D13×#123C22semidirect
101. #11719352C22semidirect
102. #11719351C22semidirect
103. #11719345C22semidirect
104. #11719336C22semidirect
105. #11719335C22semidirect
106. #11719332C22semidirect
107. #11719318C22semidirect
108. #11719312C22semidirect
109. #11719267C22semidirect
110. #11719264C22semidirect
111. #11719255C22semidirect
112. #11719252C22semidirect
113. #11719219C22semidirect
114. C2×#88152C22semidirect
115. C2×#88152C22semidirect
116. C2×#88152C22semidirect
117. C2×#88152C22semidirect
118. C2×#88152C22semidirect
119. C2×#88152C22semidirect
120. C2×#88151C22semidirect
121. C2×#88151C22semidirect
122. C2×#88151C22semidirect
123. C2×#88150C22semidirect
124. C2×#88150C22semidirect
125. C2×#88150C22semidirect
126. C2×#88150C22semidirect
127. C2×#88150C22semidirect
128. C2×#88150C22semidirect
129. C2×#88150C22semidirect
130. #11719212C22semidirect
134. C2×#88149C22semidirect
135. C2×#88149C22semidirect
136. C2×#88149C22semidirect
137. C2×#88149C22semidirect
138. C2×#88149C22semidirect
143. C2×#88148C22semidirect
144. C2×#88148C22semidirect
145. C2×#88148C22semidirect
146. C2×#88148C22semidirect
147. C2×#88148C22semidirect
148. C2×#88148C22semidirect
149. C2×#88148C22semidirect
150. C2×#88148C22semidirect
151. C2×#88148C22semidirect
153. C2×#88147C22semidirect
154. C2×#88147C22semidirect
155. C2×#88147C22semidirect
156. C2×#88147C22semidirect
157. C2×#88146C22semidirect
158. C2×#88146C22semidirect
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×#88144C22semidirect
166. C2×#88144C22semidirect
167. C2×#88143C22semidirect
168. C2×#88143C22semidirect
169. C2×#88142C22semidirect
170. C2×#88141C22semidirect
171. C2×#88140C22semidirect
173. C2×#88139C22semidirect
174. C2×#88139C22semidirect
175. C2×#88139C22semidirect
176. C2×#88139C22semidirect
177. C2×#88139C22semidirect
181. C2×#88138C22semidirect
182. C2×#88138C22semidirect
183. C2×#88138C22semidirect
184. C2×#88138C22semidirect
187. C2×#88137C22semidirect
188. C2×#88137C22semidirect
189. C2×#88137C22semidirect
190. C2×#88137C22semidirect
191. C2×#88137C22semidirect
196. C2×#88136C22semidirect
197. C2×#88136C22semidirect
198. C2×#88135C22semidirect
199. C2×#88135C22semidirect
203. C2×C22⋊C4×D13C22semidirect
204. C2×C22⋊C4×D13C22semidirect
205. C2×C22⋊C4×D13C22semidirect
206. C2×#88133C22semidirect
207. C2×#88133C22semidirect
208. C2×#88133C22semidirect
209. C2×#88133C22semidirect
210. C2×#88132C22semidirect
211. C2×#88129C22semidirect
212. C2×#88129C22semidirect
214. C2×C4×D52C22semidirect
215. C2×C4×D52C22semidirect
216. C2×#88126C22semidirect
217. C2×#88126C22semidirect
218. C2×C4×Dic26C22semidirect
251. C2×#6127C23semidirect
283. C22×C4×D13C23semidirect
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
337. #88201C23semidirect
338. #88200C23semidirect
339. #88198C23semidirect
341. #88194C23semidirect
342. #88193C23semidirect
344. #88192C23semidirect
347. #88191C23semidirect
348. #88191C23semidirect
349. #88190C23semidirect
351. #88184C23semidirect
352. #88184C23semidirect
353. #88184C23semidirect
354. #88184C23semidirect
355. #88184C23semidirect
357. #88183C23semidirect
358. #88183C23semidirect
359. #88183C23semidirect
360. C4×C22⋊D13C23semidirect
361. C4×C22⋊D13C23semidirect
362. C4×C22⋊D13C23semidirect
363. C4×C22⋊D13C23semidirect
364. C4×C22⋊D13C23semidirect
365. C4×C22⋊D13C23semidirect
406. #88178C23semidirect
431. #88152C23semidirect
432. #88152C23semidirect
433. #88152C23semidirect
434. #88152C23semidirect
435. #88152C23semidirect
436. #88152C23semidirect
437. #88151C23semidirect
438. #88151C23semidirect
439. #88151C23semidirect
440. #88150C23semidirect
441. #88150C23semidirect
442. #88150C23semidirect
443. #88150C23semidirect
444. #88150C23semidirect
445. #88150C23semidirect
446. #88150C23semidirect
450. #88149C23semidirect
451. #88149C23semidirect
452. #88149C23semidirect
453. #88149C23semidirect
454. #88149C23semidirect
459. #88148C23semidirect
460. #88148C23semidirect
461. #88148C23semidirect
462. #88148C23semidirect
463. #88148C23semidirect
464. #88148C23semidirect
465. #88148C23semidirect
466. #88148C23semidirect
467. #88148C23semidirect
469. #88147C23semidirect
470. #88147C23semidirect
471. #88147C23semidirect
472. #88147C23semidirect
473. #88146C23semidirect
474. #88146C23semidirect
475. #88146C23semidirect
476. #88146C23semidirect
477. #88146C23semidirect
478. C4⋊C4×D13C23semidirect
479. C4⋊C4×D13C23semidirect
480. C4⋊C4×D13C23semidirect
481. #88144C23semidirect
482. #88144C23semidirect
483. #88143C23semidirect
484. #88143C23semidirect
485. #88142C23semidirect
486. #88141C23semidirect
487. #88140C23semidirect
489. #88139C23semidirect
490. #88139C23semidirect
491. #88139C23semidirect
492. #88139C23semidirect
493. #88139C23semidirect
497. #88138C23semidirect
498. #88138C23semidirect
499. #88138C23semidirect
500. #88138C23semidirect
503. #88137C23semidirect
504. #88137C23semidirect
505. #88137C23semidirect
506. #88137C23semidirect
507. #88137C23semidirect
512. #88136C23semidirect
513. #88136C23semidirect
514. #88135C23semidirect
515. #88135C23semidirect
519. C22⋊C4×D13C23semidirect
520. C22⋊C4×D13C23semidirect
521. C22⋊C4×D13C23semidirect
522. #88133C23semidirect
523. #88133C23semidirect
524. #88133C23semidirect
525. #88133C23semidirect
526. #88132C23semidirect
527. #88129C23semidirect
528. #88129C23semidirect
530. C4×D52C23semidirect
531. C4×D52C23semidirect
532. #88126C23semidirect
533. #88126C23semidirect
534. C4×Dic26C23semidirect
813. C2×#539D13semidirect
997. #539C2×D13semidirect
1018. C2×#126C2×D13semidirect
1019. C2×#126C2×D13semidirect
1024. C2×#125C2×D13semidirect
1025. C2×#125C2×D13semidirect
1067. C2×#123C2×D13semidirect
1068. C2×#123C2×D13semidirect
1082. C2×C22⋊Q8C2×D13semidirect
1083. C2×C22⋊Q8C2×D13semidirect
1084. C2×C22⋊Q8C2×D13semidirect
1137. C2×C4×D4C2×D13semidirect
1138. C2×C4×D4C2×D13semidirect
1149. C22×C4⋊C4C2×D13semidirect
1304. #126C22×D13semidirect
1305. #126C22×D13semidirect
1310. #125C22×D13semidirect
1311. #125C22×D13semidirect
1350. #123C22×D13semidirect
1351. #123C22×D13semidirect
1365. C22⋊Q8C22×D13semidirect
1366. C22⋊Q8C22×D13semidirect
1367. C22⋊Q8C22×D13semidirect
1420. C4×D4C22×D13semidirect
1421. C4×D4C22×D13semidirect
1470. C2×C4⋊C4C22×D13semidirect
1540. C2×C13#3533semidirect
1805. C13C2×#3533semidirect
2027. C2#13129011direct (N × H)

Maximal subgroups

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

subgroupindex
#131290112
C2×#117193512
C2×#117194052
C2×#117193522
C2×#117193712
C2×#117192642
C2×#117194002
C2×#117192192
C2×#117193992
C2×#117193982
C2×#117193642
C2×#117194102
C2×#117193362
C2×#117192122
C2×#117192552
C2×#117193352
C2×#117193452
C2×#117194152
C2×#117193682
C2×#117192672
C2×#117193652
C2×#117194092
C2×#117193622
C2×#117193182
C2×#117193122
C2×#117193582
C2×#117193322
C2×#117192522
C2×D13×#1232
C2×C13×#5392
C2×#353313