Finite Group Databasebeta

← C2×#13129375 #16770332

Subgroups — C2×#13129375 #16770332

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#13129375C2132yesmaximal, direct product factor
2C2×#11719404C211yesmaximal, characteristic, complemented
3C2×#11719356C211yesmaximal, characteristic, complemented
4C2×#11719325C211yesmaximal, characteristic, complemented
5C2×#11719325C211yesmaximal, characteristic, complemented
6C2×#11719414C211yesmaximal, characteristic, complemented
7C2×#11719263C211yesmaximal, characteristic, complemented
8C2×#11719245C211yesmaximal, characteristic, complemented
9C2×#11719410C211yesmaximal, characteristic, complemented
10C2×#11719232C211yesmaximal, characteristic, complemented
11C2×#11719212C211yesmaximal, characteristic, complemented
12C2×#11719360C211yesmaximal, characteristic, complemented
13C2×#11719317C211yesmaximal, characteristic, complemented
14C2×#11719255C211yesmaximal, characteristic, complemented
15C2×#11719255C211yesmaximal, characteristic, complemented
16C2×#11719315C211yesmaximal, characteristic, complemented
17C2×#11719415C211yesmaximal, characteristic, complemented
18C2×#11719266C211yesmaximal, characteristic, complemented
19C2×#11719397C211yesmaximal, characteristic, complemented
20C2×#11719220C211yesmaximal, characteristic, complemented
21C2×#11719269C211yesmaximal, characteristic, complemented
22C2×#11719362C211yesmaximal, characteristic, complemented
23C2×#11719265C211yesmaximal, characteristic, complemented
24C2×#11719318C211yesmaximal, characteristic, complemented
25C2×#11719318C211yesmaximal, characteristic, complemented
26C2×#11719318C211yesmaximal, characteristic, complemented
27C2×#11719313C211yesmaximal, characteristic, complemented
28C2×#11719358C211yesmaximal, characteristic, complemented
29C2×#11719253C211yesmaximal, characteristic, complemented
30C2×#11719233C211yesmaximal, characteristic, complemented
31C2×D13×#126C211yesmaximal, characteristic, complemented
32C2×C13×#553C211yesmaximal, characteristic, complemented
33C22×#6129C2211yescharacteristic, complemented
34C22×D4×D13C2211yescharacteristic
35C22×#6127C2211yescharacteristic, complemented
36C22×#6127C2211yescharacteristic, complemented
37C22×#6127C2211yescharacteristic, complemented
38C23×D52C2211yescharacteristic
39C13×#553C22116yescomplemented
40C2×C13×#126C2211yescharacteristic, complemented
41C2×C13×#126C2211yescharacteristic, complemented
42C2×C13×#125C2211yescharacteristic, complemented
43C2×C13×#123C2211yescharacteristic
44C2×C13×#123C2211yescharacteristic, complemented
45C2×C13×#121C2211yescharacteristic
46C2×C13×#121C2211yescharacteristic
47C2×C13×#121C2211yescharacteristic, complemented
48C2×C13×#121C2211yescharacteristic, complemented
49C2×C4×D4×C13C2211yescharacteristic, complemented
50C2×C4×D4×C13C2211yescharacteristic, complemented
51C2×C4×D4×C13C2211yescharacteristic, complemented
52C2×C4×D4×C13C2211yescharacteristic, complemented
53C2×C13×#117C2211yescharacteristic, complemented
54C22×C13×C4⋊C4C2211yescharacteristic, complemented
55C2×#88194C2211yescharacteristic, complemented
56C2×#88193C2211yescharacteristic
57C2×#88193C2211yescharacteristic, complemented
58C2×#88193C2211yescharacteristic, complemented
59C2×#88193C2211yescharacteristic, complemented
60C2×#88193C2211yescharacteristic, complemented
61C2×#88192C2211yescharacteristic
62C2×#88192C2211yescharacteristic, complemented
63C2×#88192C2211yescharacteristic, complemented
64C2×#88192C2211yescharacteristic, complemented
65C2×#88192C2211yescharacteristic, complemented
66C2×#88191C2211yescharacteristic
67C2×#88191C2211yescharacteristic
68C2×#88191C2211yescharacteristic
69C2×#88191C2211yescharacteristic, complemented
70C2×#88191C2211yescharacteristic, complemented
71C2×#88191C2211yescharacteristic, complemented
72C2×#88191C2211yescharacteristic, complemented
73C2×#88190C2211yescharacteristic
74C2×#88190C2211yescharacteristic, complemented
75C2×#88189C2211yescharacteristic
76C2×#88189C2211yescharacteristic, complemented
77C2×#88184C2211yescharacteristic
78C2×#88184C2211yescharacteristic
79C2×#88184C2211yescharacteristic, complemented
80C2×#88183C2211yescharacteristic
81C2×#88183C2211yescharacteristic, complemented
82C2×#88183C2211yescharacteristic, complemented
83C2×#88183C2211yescharacteristic, complemented
84C2×#88183C2211yescharacteristic, complemented
85C2×#88183C2211yescharacteristic, complemented
86C2×C4×C22⋊D13C2211yescharacteristic, complemented
87C2×C4×C22⋊D13C2211yescharacteristic, complemented
88C2×C4×C22⋊D13C2211yescharacteristic, complemented
89C2×C4×C22⋊D13C2211yescharacteristic, complemented
90C2×C4×C22⋊D13C2211yescharacteristic, complemented
91C2×C4×C22⋊D13C2211yescharacteristic, complemented
92C22×#6103C2211yescharacteristic, complemented
93C2×#88178C2211yescharacteristic, complemented
94C2×#88178C2211yescharacteristic, complemented
95C2×#88178C2211yescharacteristic, complemented
96C22×#6101C2211yescharacteristic, complemented
97#11719415C22116yescomplemented
98#11719414C22116yescomplemented
99#11719410C22116yescomplemented
100D13×#126C22116yescomplemented
101#11719404C22116yescomplemented
102#11719397C22116yescomplemented
103#11719362C22116yescomplemented
104#11719360C22116yescomplemented
105#11719358C22116yescomplemented
106#11719356C22116yescomplemented
107#11719325C22116yescomplemented
108#11719325C22116yescomplemented
109#11719318C22116yescomplemented
110#11719318C22116yescomplemented
111#11719318C22116yescomplemented
112#11719317C22116yescomplemented
113#11719315C22116yescomplemented
114#11719313C22116yescomplemented
115#11719269C22116yescomplemented
116#11719266C22116yescomplemented
117#11719265C22116yescomplemented
118#11719263C22116yescomplemented
119#11719255C22116yescomplemented
120#11719255C22116yescomplemented
121#11719253C22116yescomplemented
122#11719245C22116yescomplemented
123#11719233C22116yescomplemented
124#11719232C22116yescomplemented
125#11719220C22116yescomplemented
126C2×#88152C2211yescharacteristic, complemented
127C2×#88152C2211yescharacteristic, complemented
128C2×#88152C2211yescharacteristic, complemented
129C2×#88152C2211yescharacteristic, complemented
130C2×#88152C2211yescharacteristic, complemented
131C2×#88152C2211yescharacteristic, complemented
132C2×#88152C2211yescharacteristic, complemented
133C2×#88151C2211yescharacteristic, complemented
134C2×#88151C2211yescharacteristic, complemented
135C2×#88151C2211yescharacteristic, complemented
136C2×#88150C2211yescharacteristic, complemented
137C2×#88150C2211yescharacteristic, complemented
138C2×#88150C2211yescharacteristic, complemented
139C2×#88150C2211yescharacteristic, complemented
140C2×#88150C2211yescharacteristic, complemented
141C2×#88150C2211yescharacteristic, complemented
142#11719212C22116yescomplemented
143C2×#88149C2211yescharacteristic
144C2×#88149C2211yescharacteristic
145C2×#88148C2211yescharacteristic
146C2×#88148C2211yescharacteristic
147C2×#88148C2211yescharacteristic
148C2×#88148C2211yescharacteristic
149C2×#88148C2211yescharacteristic, complemented
150C2×#88148C2211yescharacteristic, complemented
151C2×#88148C2211yescharacteristic, complemented
152C2×#88148C2211yescharacteristic, complemented
153C2×#88148C2211yescharacteristic, complemented
154C2×#88148C2211yescharacteristic, complemented
155C2×#88147C2211yescharacteristic, complemented
156C2×#88147C2211yescharacteristic, complemented
157C2×#88146C2211yescharacteristic, complemented
158C2×C4⋊C4×D13C2211yescharacteristic, complemented
159C2×C4⋊C4×D13C2211yescharacteristic, complemented
160C2×C4⋊C4×D13C2211yescharacteristic, complemented
161C2×#88143C2211yescharacteristic, complemented
162C2×#88143C2211yescharacteristic, complemented
163C2×#88143C2211yescharacteristic, complemented
164C2×#88142C2211yescharacteristic, complemented
165C2×#88142C2211yescharacteristic, complemented
166C2×#88142C2211yescharacteristic, complemented
167C2×#88140C2211yescharacteristic, complemented
168C2×#88140C2211yescharacteristic, complemented
169C2×#88139C2211yescharacteristic
170C2×#88139C2211yescharacteristic, complemented
171C2×#88139C2211yescharacteristic, complemented
172C2×#88139C2211yescharacteristic, complemented
173C2×#88139C2211yescharacteristic, complemented
174C2×#88138C2211yescharacteristic
175C2×#88138C2211yescharacteristic
176C2×#88138C2211yescharacteristic
177C2×#88138C2211yescharacteristic
178C2×#88138C2211yescharacteristic, complemented
179C2×#88138C2211yescharacteristic, complemented
180C2×#88138C2211yescharacteristic, complemented
181C2×#88138C2211yescharacteristic, complemented
182C2×#88137C2211yescharacteristic
183C2×#88137C2211yescharacteristic, complemented
184C2×#88136C2211yescharacteristic
185C2×#88136C2211yescharacteristic
186C2×#88136C2211yescharacteristic
187C2×#88135C2211yescharacteristic, complemented
188C2×#88135C2211yescharacteristic, complemented
189C2×#88135C2211yescharacteristic, complemented
190C2×#88135C2211yescharacteristic, complemented
191C2×C22⋊C4×D13C2211yescharacteristic
192C2×C22⋊C4×D13C2211yescharacteristic
193C2×C22⋊C4×D13C2211yescharacteristic
194C2×C22⋊C4×D13C2211yescharacteristic, complemented
195C2×C22⋊C4×D13C2211yescharacteristic, complemented
196C2×C22⋊C4×D13C2211yescharacteristic, complemented
197C2×#88133C2211yescharacteristic, complemented
198C2×#88133C2211yescharacteristic, complemented
199C2×#88133C2211yescharacteristic, complemented
200C2×#88133C2211yescharacteristic, complemented
201C2×#88133C2211yescharacteristic, complemented
202C2×#88133C2211yescharacteristic, complemented
203C2×#88133C2211yescharacteristic, complemented
204C2×#88132C2211yescharacteristic, complemented
205C2×#88132C2211yescharacteristic, complemented
206C2×#88132C2211yescharacteristic, complemented
207C2×#88130C2211yescharacteristic, complemented
208C2×#88130C2211yescharacteristic, complemented
209C2×#88129C2211yescharacteristic
210C2×#88129C2211yescharacteristic
211C2×C4×D52C2211yescharacteristic, complemented
212C2×C4×D52C2211yescharacteristic, complemented
213C2×C4×D52C2211yescharacteristic, complemented
214C2×#88126C2211yescharacteristic, complemented
215C2×#88126C2211yescharacteristic, complemented
216C2×C42×D13C2211yescharacteristic, complemented
217C2×#88124C2211yescharacteristic, complemented
218C2×C4×Dic26C2211yescharacteristic, complemented
219C24×D13C2311yescharacteristic
220C24×D13C2311yescharacteristic
221C24×D13C2311yescharacteristic
222C22×D4×C13C2311yescharacteristic
223C22×D4×C13C2311yescharacteristic
224C22×D4×C13C2311yescharacteristic
225C22×D4×C13C2311yescharacteristic
226C22×D4×C13C2311yescharacteristic
227C22×D4×C13C2311yescharacteristic
228C23×C4×C13C2311yescharacteristic
229C23×C4×C13C2311yescharacteristic
230C23×C4×C13C2311yescharacteristic
231C23×C4×C13C2311yescharacteristic
232C23×C4×C13C2311yescharacteristic
233C23×C4×C13C2311yescharacteristic
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
243C22×C22⋊D13C2311yescharacteristic
244C22×C22⋊D13C2311yescharacteristic
245C22×C22⋊D13C2311yescharacteristic
246C22×C22⋊D13C2311yescharacteristic
247C22×C22⋊D13C2311yescharacteristic
248C23×Dic13C2311yescharacteristic
249C23×Dic13C2311yescharacteristic
250C23×Dic13C2311yescharacteristic
251C2×#6129—44no—
252C2×#6129C2318yescomplemented
253C2×D4×D13—44no—
254C2×D4×D13C2318yes—
255C2×#6127—44no—
256C2×#6127—44no—
257C2×#6127—44no—
258C2×#6127C2318yescomplemented
259C2×#6127C2318yescomplemented
260C2×#6127C2318yescomplemented
261C22×D52—44no—
262C22×D52C2311yescharacteristic
263C22×D52C2311yescharacteristic
264C22×D52C2311yescharacteristic
265C22×D52C2311yescharacteristic
266C22×D52C2311yescharacteristic
267C22×D52C2311yescharacteristic
268C22×D52C2311yescharacteristic
269C22×D52C2318yes—
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×Dic26C2311yescharacteristic
284C22×Dic26C2311yescharacteristic
285C22×Dic26C2311yescharacteristic
286C22×Dic26C2311yescharacteristic
287C22×Dic26C2311yescharacteristic
288C13×#126C2318yescomplemented
289C13×#126C2318yescomplemented
290C13×#125C2318yescomplemented
291C13×#123C2318yes—
292C13×#123C2318yescomplemented
293C13×#121C2318yes—
294C13×#121C2318yes—
295C13×#121C2318yescomplemented
296C13×#121C2318yescomplemented
297C4×D4×C13C2318yescomplemented
298C4×D4×C13C2318yescomplemented
299C4×D4×C13C2318yescomplemented
300C4×D4×C13C2318yescomplemented
301C13×#117C2318yescomplemented
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⋊C4C2318yescomplemented
313C2×C13×C22⋊C4C2311yescharacteristic
314C2×C13×C22⋊C4C2311yescharacteristic
315C2×C13×C22⋊C4C2311yescharacteristic
316C2×C13×C22⋊C4C2311yescharacteristic
317C2×C13×C22⋊C4C2311yescharacteristic
318C2×C13×C22⋊C4C2311yescharacteristic
319C2×C13×C22⋊C4C2311yescharacteristic
320C2×C13×C22⋊C4C2311yescharacteristic
321C2×C13×C22⋊C4C2311yescharacteristic
322C2×C13×C22⋊C4C2311yescharacteristic
323C2×C42×C13C2311yescharacteristic
324C2×C42×C13C2311yescharacteristic
325C2×C42×C13C2311yescharacteristic
326C2×C22⋊Dic13C2311yescharacteristic
327C2×C22⋊Dic13C2311yescharacteristic
328C2×C22⋊Dic13C2311yescharacteristic
329C2×C22⋊Dic13C2311yescharacteristic
330C2×C22⋊Dic13C2311yescharacteristic
331C2×C22⋊Dic13C2311yescharacteristic
332C2×C22⋊Dic13C2311yescharacteristic
333C2×C22⋊Dic13C2311yescharacteristic
334C2×C22⋊Dic13C2311yescharacteristic
335C2×C22⋊Dic13C2311yescharacteristic
336C2×C22⋊Dic13C2311yescharacteristic
337C2×C22⋊Dic13C2311yescharacteristic
338#88194C2318yescomplemented
339#88193C2318yes—
340#88193C2318yescomplemented
341#88193C2318yescomplemented
342#88193C2318yescomplemented
343#88193C2318yescomplemented
344#88192C2318yes—
345#88192C2318yescomplemented
346#88192C2318yescomplemented
347#88192C2318yescomplemented
348#88192C2318yescomplemented
349#88191C2318yes—
350#88191C2318yes—
351#88191C2318yes—
352#88191C2318yescomplemented
353#88191C2318yescomplemented
354#88191C2318yescomplemented
355#88191C2318yescomplemented
356#88190C2318yes—
357#88190C2318yescomplemented
358#88189C2318yes—
359#88189C2318yescomplemented
360#88184C2318yes—
361#88184C2318yes—
362#88184C2318yescomplemented
363#88183C2318yes—
364#88183C2318yescomplemented
365#88183C2318yescomplemented
366#88183C2318yescomplemented
367#88183C2318yescomplemented
368#88183C2318yescomplemented
369C4×C22⋊D13C2318yescomplemented
370C4×C22⋊D13C2318yescomplemented
371C4×C22⋊D13C2318yescomplemented
372C4×C22⋊D13C2318yescomplemented
373C4×C22⋊D13C2318yescomplemented
374C4×C22⋊D13C2318yescomplemented
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×#6103C2311yescharacteristic
399C2×#6103C2311yescharacteristic
400C2×#6103C2311yescharacteristic
401C2×#6103C2311yescharacteristic
402C2×#6103C2311yescharacteristic
403C2×#6103C2318yescomplemented
404C2×C4⋊Dic13C2311yescharacteristic
405C2×C4⋊Dic13C2311yescharacteristic
406C2×C4⋊Dic13C2311yescharacteristic
407C2×C4⋊Dic13C2311yescharacteristic
408C2×C4⋊Dic13C2311yescharacteristic
409C2×C4⋊Dic13C2311yescharacteristic
410C2×C4⋊Dic13C2311yescharacteristic
411C2×C4⋊Dic13C2311yescharacteristic
412#88178C2318yescomplemented
413#88178C2318yescomplemented
414#88178C2318yescomplemented
415C2×#6101C2311yescharacteristic
416C2×#6101C2311yescharacteristic
417C2×#6101C2311yescharacteristic
418C2×#6101C2311yescharacteristic
419C2×#6101C2311yescharacteristic
420C2×#6101C2311yescharacteristic
421C2×#6101C2311yescharacteristic
422C2×#6101C2311yescharacteristic
423C2×#6101C2311yescharacteristic
424C2×#6101C2311yescharacteristic
425C2×#6101C2311yescharacteristic
426C2×#6101C2311yescharacteristic
427C2×#6101C2311yescharacteristic
428C2×#6101C2311yescharacteristic
429C2×#6101C2311yescharacteristic
430C2×#6101C2311yescharacteristic
431C2×#6101C2311yescharacteristic
432C2×#6101C2311yescharacteristic
433C2×#6101C2311yescharacteristic
434C2×#6101C2311yescharacteristic
435C2×#6101C2318yescomplemented
436C2×C4×Dic13C2311yescharacteristic
437C2×C4×Dic13C2311yescharacteristic
438C2×C4×Dic13C2311yescharacteristic
439C2×C4×Dic13C2311yescharacteristic
440C2×C4×Dic13C2311yescharacteristic
441C2×C4×Dic13C2311yescharacteristic
442C2×C4×Dic13C2311yescharacteristic
443#88152C2318yescomplemented
444#88152C2318yescomplemented
445#88152C2318yescomplemented
446#88152C2318yescomplemented
447#88152C2318yescomplemented
448#88152C2318yescomplemented
449#88152C2318yescomplemented
450#88151C2318yescomplemented
451#88151C2318yescomplemented
452#88151C2318yescomplemented
453#88150C2318yescomplemented
454#88150C2318yescomplemented
455#88150C2318yescomplemented
456#88150C2318yescomplemented
457#88150C2318yescomplemented
458#88150C2318yescomplemented
459#88149C2318yes—
460#88149C2318yes—
461#88148C2318yes—
462#88148C2318yes—
463#88148C2318yes—
464#88148C2318yes—
465#88148C2318yescomplemented
466#88148C2318yescomplemented
467#88148C2318yescomplemented
468#88148C2318yescomplemented
469#88148C2318yescomplemented
470#88148C2318yescomplemented
471#88147C2318yescomplemented
472#88147C2318yescomplemented
473#88146C2318yescomplemented
474C4⋊C4×D13C2318yescomplemented
475C4⋊C4×D13C2318yescomplemented
476C4⋊C4×D13C2318yescomplemented
477#88143C2318yescomplemented
478#88143C2318yescomplemented
479#88143C2318yescomplemented
480#88142C2318yescomplemented
481#88142C2318yescomplemented
482#88142C2318yescomplemented
483#88140C2318yescomplemented
484#88140C2318yescomplemented
485#88139C2318yes—
486#88139C2318yescomplemented
487#88139C2318yescomplemented
488#88139C2318yescomplemented
489#88139C2318yescomplemented
490#88138C2318yes—
491#88138C2318yes—
492#88138C2318yes—
493#88138C2318yes—
494#88138C2318yescomplemented
495#88138C2318yescomplemented
496#88138C2318yescomplemented
497#88138C2318yescomplemented
498#88137C2318yes—
499#88137C2318yescomplemented
500#88136C2318yes—
501#88136C2318yes—
502#88136C2318yes—
503#88135C2318yescomplemented
504#88135C2318yescomplemented
505#88135C2318yescomplemented
506#88135C2318yescomplemented
507C22⋊C4×D13C2318yes—
508C22⋊C4×D13C2318yes—
509C22⋊C4×D13C2318yes—
510C22⋊C4×D13C2318yescomplemented
511C22⋊C4×D13C2318yescomplemented
512C22⋊C4×D13C2318yescomplemented
513#88133C2318yescomplemented
514#88133C2318yescomplemented
515#88133C2318yescomplemented
516#88133C2318yescomplemented
517#88133C2318yescomplemented
518#88133C2318yescomplemented
519#88133C2318yescomplemented
520#88132C2318yescomplemented
521#88132C2318yescomplemented
522#88132C2318yescomplemented
523#88130C2318yescomplemented
524#88130C2318yescomplemented
525#88129C2318yes—
526#88129C2318yes—
527C4×D52C2318yescomplemented
528C4×D52C2318yescomplemented
529C4×D52C2318yescomplemented
530#88126C2318yescomplemented
531#88126C2318yescomplemented
532C42×D13C2318yescomplemented
533#88124C2318yescomplemented
534C4×Dic26C2318yescomplemented
535C2×#3560—131nomaximal, Sylow
536C24×C13C2411yescharacteristic
537C24×C13C2411yescharacteristic
538C24×C13C2411yescharacteristic
539C24×C13C2411yescharacteristic
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×D13—42no—
549C23×D13C2411yescharacteristic
550C23×D13C2411yescharacteristic
551C23×D13C2411yescharacteristic
552C23×D13C2411yescharacteristic
553C23×D13C2411yescharacteristic
554C23×D13C2414yes—
555C23×D13C2414yes—
556C23×D13C2414yes—
557C2×D4×C13—42no—
558C2×D4×C13—42no—
559C2×D4×C13—42no—
560C2×D4×C13—42no—
561C2×D4×C13—42no—
562C2×D4×C13—42no—
563C2×D4×C13C2414yes—
564C2×D4×C13C2414yes—
565C2×D4×C13C2414yes—
566C2×D4×C13C2414yes—
567C2×D4×C13C2414yes—
568C2×D4×C13C2414yes—
569C22×C4×C13—42no—
570C22×C4×C13—42no—
571C22×C4×C13—42no—
572C22×C4×C13—42no—
573C22×C4×C13—42no—
574C22×C4×C13—42no—
575C22×C4×C13C2411yescharacteristic
576C22×C4×C13C2411yescharacteristic
577C22×C4×C13C2411yescharacteristic
578C22×C4×C13C2411yescharacteristic
579C22×C4×C13C2411yescharacteristic
580C22×C4×C13C2411yescharacteristic
581C22×C4×C13C2411yescharacteristic
582C22×C4×C13C2411yescharacteristic
583C22×C4×C13C2411yescharacteristic
584C22×C4×C13C2411yescharacteristic
585C22×C4×C13C2411yescharacteristic
586C22×C4×C13C2414yes—
587C22×C4×C13C2414yes—
588C22×C4×C13C2414yes—
589C22×C4×C13C2414yes—
590C22×C4×C13C2414yes—
591C22×C4×C13C2414yes—
592C2×C22⋊D13—24no—
593C2×C22⋊D13—24no—
594C2×C22⋊D13—24no—
595C2×C22⋊D13—42no—
596C2×C22⋊D13—42no—
597C2×C22⋊D13—42no—
598C2×C22⋊D13—42no—
599C2×C22⋊D13—42no—
600C2×C22⋊D13—42no—
601C2×C22⋊D13—42no—
602C2×C22⋊D13—42no—
603C2×C22⋊D13—42no—
604C2×C22⋊D13—42no—
605C2×C22⋊D13—42no—
606C2×C22⋊D13C2414yes—
607C2×C22⋊D13C2414yes—
608C2×C22⋊D13C2414yes—
609C2×C22⋊D13C2414yes—
610C2×C22⋊D13C2414yes—
611C2×C22⋊D13C2414yes—
612C2×C22⋊D13C2414yes—
613C2×C22⋊D13C2414yes—
614C2×C22⋊D13C2414yes—
615C2×C22⋊D13C2414yes—
616C2×C22⋊D13C2414yes—
617C2×C22⋊D13C2414yes—
618C2×C22⋊D13C2414yes—
619C2×C22⋊D13C2414yes—
620C22×Dic13—42no—
621C22×Dic13—42no—
622C22×Dic13—42no—
623C22×Dic13C2411yescharacteristic
624C22×Dic13C2411yescharacteristic
625C22×Dic13C2411yescharacteristic
626C22×Dic13C2411yescharacteristic
627C22×Dic13C2411yescharacteristic
628C22×Dic13C2411yescharacteristic
629C22×Dic13C2411yescharacteristic
630C22×Dic13C2411yescharacteristic
631C22×Dic13C2411yescharacteristic
632C22×Dic13C2411yescharacteristic
633C22×Dic13C2411yescharacteristic
634C22×Dic13C2414yes—
635C22×Dic13C2414yes—
636C22×Dic13C2414yes—
637#6129—416no—
638D4×D13—416no—
639#6127—416no—
640#6127—416no—
641#6127—416no—
642C2×D52—24no—
643C2×D52—24no—
644C2×D52—24no—
645C2×D52—416no—
646C2×D52—42no—
647C2×D52—42no—
648C2×D52—42no—
649C2×D52—42no—
650C2×D52C2414yes—
651C2×D52C2414yes—
652C2×D52C2414yes—
653C2×D52C2414yes—
654C2×D52C2414yes—
655C2×D52C2414yes—
656C2×D52C2414yes—
657C2×C4×D13—24no—
658C2×C4×D13—24no—
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×D13—42no—
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×Dic26—42no—
684C2×Dic26—42no—
685C2×Dic26—42no—
686C2×Dic26—42no—
687C2×Dic26—42no—
688C2×Dic26C2414yes—
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×C22⋊C4C2414yes—
704C13×C22⋊C4C2414yes—
705C13×C22⋊C4C2414yes—
706C13×C22⋊C4C2414yes—
707C13×C22⋊C4C2414yes—
708C13×C22⋊C4C2414yes—
709C13×C22⋊C4C2414yes—
710C13×C22⋊C4C2414yes—
711C13×C22⋊C4C2414yes—
712C13×C22⋊C4C2414yes—
713C42×C13C2414yes—
714C42×C13C2414yes—
715C42×C13C2414yes—
716C22⋊Dic13C2414yes—
717C22⋊Dic13C2414yes—
718C22⋊Dic13C2414yes—
719C22⋊Dic13C2414yes—
720C22⋊Dic13C2414yes—
721C22⋊Dic13C2414yes—
722C22⋊Dic13C2414yes—
723C22⋊Dic13C2414yes—
724C22⋊Dic13C2414yes—
725C22⋊Dic13C2414yes—
726C22⋊Dic13C2414yes—
727C22⋊Dic13C2414yes—
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—
756C4⋊Dic13C2414yes—
757C4⋊Dic13C2414yes—
758C4⋊Dic13C2414yes—
759C4⋊Dic13C2414yes—
760C4⋊Dic13C2414yes—
761C4⋊Dic13C2414yes—
762C4⋊Dic13C2414yes—
763C4⋊Dic13C2414yes—
764#6101C2414yes—
765#6101C2414yes—
766#6101C2414yes—
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—
783#6101C2414yes—
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×#553D1311yescharacteristic, complemented
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×#539—131no—
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×C13—22no—
833C23×C13—22no—
834C23×C13—22no—
835C23×C13C2512yes—
836C23×C13C2512yes—
837C23×C13C2512yes—
838C23×C13C2512yes—
839C23×C13C2511yescharacteristic
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—22no—
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—44no—
863C22×D13—88no—
864C22×D13—88no—
865C22×D13—88no—
866C22×D13H(5,𝔽2)14yes—
867C22×D13C2512yes—
868C22×D13C2512yes—
869C22×D13C2512yes—
870C22×D13C2512yes—
871C22×D13C2512yes—
872D4×C13—44no—
873D4×C13—44no—
874D4×C13—44no—
875D4×C13—44no—
876D4×C13—44no—
877D4×C13—44no—
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—22no—
889C2×C4×C13—44no—
890C2×C4×C13—44no—
891C2×C4×C13—44no—
892C2×C4×C13—44no—
893C2×C4×C13—44no—
894C2×C4×C13—44no—
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—
905C2×C4×C13C2512yes—
906C22⋊D13—28no—
907C22⋊D13—28no—
908C22⋊D13—28no—
909C22⋊D13—44no—
910C22⋊D13—44no—
911C22⋊D13—44no—
912C22⋊D13—44no—
913C22⋊D13—44no—
914C22⋊D13—44no—
915C22⋊D13—44no—
916C22⋊D13—44no—
917C22⋊D13—44no—
918C22⋊D13—44no—
919C22⋊D13—44no—
920C2×Dic13—22no—
921C2×Dic13—22no—
922C2×Dic13—22no—
923C2×Dic13—22no—
924C2×Dic13—22no—
925C2×Dic13—22no—
926C2×Dic13—22no—
927C2×Dic13—22no—
928C2×Dic13—22no—
929C2×Dic13—22no—
930C2×Dic13—22no—
931C2×Dic13—44no—
932C2×Dic13—44no—
933C2×Dic13—44no—
934C2×Dic13C2512yes—
935C2×Dic13C2512yes—
936C2×Dic13C2512yes—
937C2×Dic13C2512yes—
938C2×Dic13C2512yes—
939C2×Dic13C2512yes—
940C2×Dic13C2512yes—
941C2×Dic13C2512yes—
942C2×Dic13C2512yes—
943C2×Dic13C2512yes—
944C2×Dic13C2512yes—
945D52—28no—
946D52—28no—
947D52—28no—
948D52—44no—
949D52—44no—
950D52—44no—
951D52—44no—
952C4×D13—28no—
953C4×D13—28no—
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—
965Dic26—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#553C2×D13116yescomplemented
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#539—1316no—
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×#125—131no—
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×#123—131no—
1064C2×#123—131no—
1065C2×#123C2×D1311yescharacteristic
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⋊Q8—131no—
1080C2×C22⋊Q8—131no—
1081C2×C22⋊Q8—131no—
1082C2×#121—131no—
1083C2×#121—131no—
1084C2×#121—131no—
1085C2×#121—131no—
1086C2×#121—131no—
1087C2×#121—131no—
1088C2×#121—131no—
1089C2×#121—131no—
1090C2×#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×#121C2×D1311yescharacteristic
1106C2×#121C2×D1311yescharacteristic
1107C2×#121C2×D1311yescharacteristic, complemented
1108C2×#121C2×D1311yescharacteristic, complemented
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×D4C2×D1311yescharacteristic, complemented
1136C2×C4×D4C2×D1311yescharacteristic, complemented
1137C2×C4×D4C2×D1311yescharacteristic, complemented
1138C2×C4×D4C2×D1311yescharacteristic, complemented
1139C2×#117—131no—
1140C2×#117—131no—
1141C2×#117—131no—
1142C2×#117C2×D1311yescharacteristic, complemented
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—22no—
1166C22×C13—22no—
1167C22×C13—22no—
1168C22×C13—44no—
1169C22×C13—44no—
1170C22×C13—44no—
1171C22×C13—44no—
1172C22×C13C2×H(5,𝔽2)12yes—
1173C22×C13#58512yes—
1174C22×C13#58512yes—
1175C22×C13C2611yescharacteristic
1176C2×D13—22no—
1177C2×D13—22no—
1178C2×D13—28no—
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—22no—
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—
1210Dic13—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×Q8—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—131no—
1248C22×D4—131no—
1249C22×D4—131no—
1250C22×D4—131no—
1251C22×D4—138no—
1252C22×D4—131no—
1253C22×D4—131no—
1254C22×D4—131no—
1255C22×D4—131no—
1256C22×D4—131no—
1257C22×D4—131no—
1258C22×D4—131no—
1259C22×D4—138no—
1260C22×D4—524no—
1261C22×D4—524no—
1262C22×D4C22×D1311yescharacteristic
1263C22×D4C22×D1311yescharacteristic
1264C22×D4C22×D1311yescharacteristic
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×C4C22×D1311yescharacteristic
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#125—138no—
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#123—138no—
1347#123—138no—
1348#123C22×D1318yes—
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⋊Q8—138no—
1363C22⋊Q8—138no—
1364C22⋊Q8—138no—
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#121C22×D1318yes—
1389#121C22×D1318yes—
1390#121C22×D1318yescomplemented
1391#121C22×D1318yescomplemented
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×D4C22×D1318yescomplemented
1419C4×D4C22×D1318yescomplemented
1420C4×D4C22×D1318yescomplemented
1421C4×D4C22×D1318yescomplemented
1422#117—138no—
1423#117—138no—
1424#117—138no—
1425#117C22×D1318yescomplemented
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—138no—
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—131no—
1454C2×C4⋊C4—131no—
1455C2×C4⋊C4—138no—
1456C2×C4⋊C4—138no—
1457C2×C4⋊C4—138no—
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—131no—
1492C2×C22⋊C4—131no—
1493C2×C22⋊C4—131no—
1494C2×C22⋊C4—131no—
1495C2×C22⋊C4—138no—
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—138no—
1534C2×C42C22×D1311yescharacteristic
1535C2×C42C22×D1311yescharacteristic
1536C2×C42C22×D1311yescharacteristic
1537C2×C13—42no—
1538C2×C13—42no—
1539C2×C13—42no—
1540C2×C13—42no—
1541C2×C13#356014yescomplemented
1542C2×C13C22×H(5,𝔽2)11yescharacteristic
1543C2×C13C2×#58511yescharacteristic
1544C2×C13C2×#58511yescharacteristic
1545D13—24no—
1546D13—42no—
1547D13—42no—
1548D13—42no—
1549D13—42no—
1550C24—131no—
1551C24—131no—
1552C24—131no—
1553C24—131no—
1554C24—131no—
1555C24—134no—
1556C24—134no—
1557C24—134no—
1558C24—264no—
1559C24—522no—
1560C24—522no—
1561C24—522no—
1562C24—522no—
1563C24—522no—
1564C24—522no—
1565C24—522no—
1566C24—522no—
1567C24C23×D1311yescharacteristic
1568C24C23×D1311yescharacteristic
1569C24C23×D1311yescharacteristic
1570C24C23×D1311yescharacteristic
1571#41—5216no—
1572#41—5216no—
1573#41—5216no—
1574#41—5216no—
1575C2×Q8—134no—
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×Q8—522no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
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—5216no—
1623C2×D4—522no—
1624C2×D4—522no—
1625C2×D4—522no—
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—5216no—
1635C2×D4C23×D1314yes—
1636C2×D4C23×D1314yes—
1637C2×D4C23×D1314yes—
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—42no—
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—131no—
1657C22×C4—131no—
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—134no—
1674C22×C4—264no—
1675C22×C4—264no—
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×D1314yes—
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⋊C4—134no—
1732C4⋊C4—134no—
1733C4⋊C4—134no—
1734C4⋊C4—134no—
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—
1802C42C23×D1314yes—
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—22no—
1816C23—22no—
1817C23—22no—
1818C23—134no—
1819C23—132no—
1820C23—132no—
1821C23—132no—
1822C23—132no—
1823C23—132no—
1824C23—268no—
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—524no—
1840C23—524no—
1841C23—524no—
1842C23—524no—
1843C23—524no—
1844C23—524no—
1845C23—524no—
1846C23—524no—
1847C23—1048no—
1848C23—1048no—
1849C23—1048no—
1850C23C24×D1312yes—
1851C23C24×D1312yes—
1852C23C24×D1312yes—
1853C23C24×D1312yes—
1854C23C24×D1311yescharacteristic
1855Q8—524no—
1856Q8—524no—
1857Q8—524no—
1858Q8—524no—
1859Q8—524no—
1860D4—44no—
1861D4—44no—
1862D4—44no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—268no—
1867D4—268no—
1868D4—268no—
1869D4—268no—
1870D4—268no—
1871D4—268no—
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—44no—
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—132no—
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—262no—
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×C4—524no—
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—22no—
1963C22—22no—
1964C22—22no—
1965C22—44no—
1966C22—44no—
1967C22—44no—
1968C22—44no—
1969C22—134no—
1970C22—268no—
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—262no—
1985C22—524no—
1986C22—524no—
1987C22—524no—
1988C22—524no—
1989C22—1048no—
1990C22—1048no—
1991C22—1048no—
1992C22#1171964812yes—
1993C22#1171964812yes—
1994C22D13×H(5,𝔽2)12yes—
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—262no—
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—42no—
2022C2—264no—
2023C2—522no—
2024C2—522no—
2025C2—522no—
2026C2—522no—
2027C2#1312937514yesdirect product factor
2028C2C2×D13×H(5,𝔽2)11yescharacteristic
2029C2C2×#1171964811yescharacteristic
2030C2C2×#1171964811yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#553C2
socleC23×C13C25
hypercenterC2×#553D13
hypocenterC13C2×#3560
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #13129375C2direct (N × H)
2. C2×#11719404C2semidirect
3. C2×#11719356C2semidirect
4. C2×#11719325C2semidirect
5. C2×#11719325C2semidirect
6. C2×#11719414C2semidirect
7. C2×#11719263C2semidirect
8. C2×#11719245C2semidirect
9. C2×#11719410C2semidirect
10. C2×#11719232C2semidirect
11. C2×#11719212C2semidirect
12. C2×#11719360C2semidirect
13. C2×#11719317C2semidirect
14. C2×#11719255C2semidirect
15. C2×#11719255C2semidirect
16. C2×#11719315C2semidirect
17. C2×#11719415C2semidirect
18. C2×#11719266C2semidirect
19. C2×#11719397C2semidirect
20. C2×#11719220C2semidirect
21. C2×#11719269C2semidirect
22. C2×#11719362C2semidirect
23. C2×#11719265C2semidirect
24. C2×#11719318C2semidirect
25. C2×#11719318C2semidirect
26. C2×#11719318C2semidirect
27. C2×#11719313C2semidirect
28. C2×#11719358C2semidirect
29. C2×#11719253C2semidirect
30. C2×#11719233C2semidirect
31. C2×D13×#126C2semidirect
32. C2×C13×#553C2semidirect
33. C22×#6129C22semidirect
35. C22×#6127C22semidirect
36. C22×#6127C22semidirect
37. C22×#6127C22semidirect
39. C13×#553C22semidirect
40. C2×C13×#126C22semidirect
41. C2×C13×#126C22semidirect
42. C2×C13×#125C22semidirect
44. C2×C13×#123C22semidirect
47. C2×C13×#121C22semidirect
48. C2×C13×#121C22semidirect
49. C2×C4×D4×C13C22semidirect
50. C2×C4×D4×C13C22semidirect
51. C2×C4×D4×C13C22semidirect
52. C2×C4×D4×C13C22semidirect
53. C2×C13×#117C22semidirect
54. C22×C13×C4⋊C4C22semidirect
55. C2×#88194C22semidirect
57. C2×#88193C22semidirect
58. C2×#88193C22semidirect
59. C2×#88193C22semidirect
60. C2×#88193C22semidirect
62. C2×#88192C22semidirect
63. C2×#88192C22semidirect
64. C2×#88192C22semidirect
65. C2×#88192C22semidirect
69. C2×#88191C22semidirect
70. C2×#88191C22semidirect
71. C2×#88191C22semidirect
72. C2×#88191C22semidirect
74. C2×#88190C22semidirect
76. C2×#88189C22semidirect
79. C2×#88184C22semidirect
81. C2×#88183C22semidirect
82. C2×#88183C22semidirect
83. C2×#88183C22semidirect
84. C2×#88183C22semidirect
85. C2×#88183C22semidirect
86. C2×C4×C22⋊D13C22semidirect
87. C2×C4×C22⋊D13C22semidirect
88. C2×C4×C22⋊D13C22semidirect
89. C2×C4×C22⋊D13C22semidirect
90. C2×C4×C22⋊D13C22semidirect
91. C2×C4×C22⋊D13C22semidirect
92. C22×#6103C22semidirect
93. C2×#88178C22semidirect
94. C2×#88178C22semidirect
95. C2×#88178C22semidirect
96. C22×#6101C22semidirect
97. #11719415C22semidirect
98. #11719414C22semidirect
99. #11719410C22semidirect
100. D13×#126C22semidirect
101. #11719404C22semidirect
102. #11719397C22semidirect
103. #11719362C22semidirect
104. #11719360C22semidirect
105. #11719358C22semidirect
106. #11719356C22semidirect
107. #11719325C22semidirect
108. #11719325C22semidirect
109. #11719318C22semidirect
110. #11719318C22semidirect
111. #11719318C22semidirect
112. #11719317C22semidirect
113. #11719315C22semidirect
114. #11719313C22semidirect
115. #11719269C22semidirect
116. #11719266C22semidirect
117. #11719265C22semidirect
118. #11719263C22semidirect
119. #11719255C22semidirect
120. #11719255C22semidirect
121. #11719253C22semidirect
122. #11719245C22semidirect
123. #11719233C22semidirect
124. #11719232C22semidirect
125. #11719220C22semidirect
126. C2×#88152C22semidirect
127. C2×#88152C22semidirect
128. C2×#88152C22semidirect
129. C2×#88152C22semidirect
130. C2×#88152C22semidirect
131. C2×#88152C22semidirect
132. C2×#88152C22semidirect
133. C2×#88151C22semidirect
134. C2×#88151C22semidirect
135. C2×#88151C22semidirect
136. C2×#88150C22semidirect
137. C2×#88150C22semidirect
138. C2×#88150C22semidirect
139. C2×#88150C22semidirect
140. C2×#88150C22semidirect
141. C2×#88150C22semidirect
142. #11719212C22semidirect
149. C2×#88148C22semidirect
150. C2×#88148C22semidirect
151. C2×#88148C22semidirect
152. C2×#88148C22semidirect
153. C2×#88148C22semidirect
154. C2×#88148C22semidirect
155. C2×#88147C22semidirect
156. C2×#88147C22semidirect
157. C2×#88146C22semidirect
158. C2×C4⋊C4×D13C22semidirect
159. C2×C4⋊C4×D13C22semidirect
160. C2×C4⋊C4×D13C22semidirect
161. C2×#88143C22semidirect
162. C2×#88143C22semidirect
163. C2×#88143C22semidirect
164. C2×#88142C22semidirect
165. C2×#88142C22semidirect
166. C2×#88142C22semidirect
167. C2×#88140C22semidirect
168. C2×#88140C22semidirect
170. C2×#88139C22semidirect
171. C2×#88139C22semidirect
172. C2×#88139C22semidirect
173. C2×#88139C22semidirect
178. C2×#88138C22semidirect
179. C2×#88138C22semidirect
180. C2×#88138C22semidirect
181. C2×#88138C22semidirect
183. C2×#88137C22semidirect
187. C2×#88135C22semidirect
188. C2×#88135C22semidirect
189. C2×#88135C22semidirect
190. C2×#88135C22semidirect
194. C2×C22⋊C4×D13C22semidirect
195. C2×C22⋊C4×D13C22semidirect
196. C2×C22⋊C4×D13C22semidirect
197. C2×#88133C22semidirect
198. C2×#88133C22semidirect
199. C2×#88133C22semidirect
200. C2×#88133C22semidirect
201. C2×#88133C22semidirect
202. C2×#88133C22semidirect
203. C2×#88133C22semidirect
204. C2×#88132C22semidirect
205. C2×#88132C22semidirect
206. C2×#88132C22semidirect
207. C2×#88130C22semidirect
208. C2×#88130C22semidirect
211. C2×C4×D52C22semidirect
212. C2×C4×D52C22semidirect
213. C2×C4×D52C22semidirect
214. C2×#88126C22semidirect
215. C2×#88126C22semidirect
216. C2×C42×D13C22semidirect
217. C2×#88124C22semidirect
218. C2×C4×Dic26C22semidirect
252. C2×#6129C23semidirect
258. C2×#6127C23semidirect
259. C2×#6127C23semidirect
260. C2×#6127C23semidirect
288. C13×#126C23semidirect
289. C13×#126C23semidirect
290. C13×#125C23semidirect
292. C13×#123C23semidirect
295. C13×#121C23semidirect
296. C13×#121C23semidirect
297. C4×D4×C13C23semidirect
298. C4×D4×C13C23semidirect
299. C4×D4×C13C23semidirect
300. C4×D4×C13C23semidirect
301. C13×#117C23semidirect
312. C2×C13×C4⋊C4C23semidirect
338. #88194C23semidirect
340. #88193C23semidirect
341. #88193C23semidirect
342. #88193C23semidirect
343. #88193C23semidirect
345. #88192C23semidirect
346. #88192C23semidirect
347. #88192C23semidirect
348. #88192C23semidirect
352. #88191C23semidirect
353. #88191C23semidirect
354. #88191C23semidirect
355. #88191C23semidirect
357. #88190C23semidirect
359. #88189C23semidirect
362. #88184C23semidirect
364. #88183C23semidirect
365. #88183C23semidirect
366. #88183C23semidirect
367. #88183C23semidirect
368. #88183C23semidirect
369. C4×C22⋊D13C23semidirect
370. C4×C22⋊D13C23semidirect
371. C4×C22⋊D13C23semidirect
372. C4×C22⋊D13C23semidirect
373. C4×C22⋊D13C23semidirect
374. C4×C22⋊D13C23semidirect
403. C2×#6103C23semidirect
412. #88178C23semidirect
413. #88178C23semidirect
414. #88178C23semidirect
435. C2×#6101C23semidirect
443. #88152C23semidirect
444. #88152C23semidirect
445. #88152C23semidirect
446. #88152C23semidirect
447. #88152C23semidirect
448. #88152C23semidirect
449. #88152C23semidirect
450. #88151C23semidirect
451. #88151C23semidirect
452. #88151C23semidirect
453. #88150C23semidirect
454. #88150C23semidirect
455. #88150C23semidirect
456. #88150C23semidirect
457. #88150C23semidirect
458. #88150C23semidirect
465. #88148C23semidirect
466. #88148C23semidirect
467. #88148C23semidirect
468. #88148C23semidirect
469. #88148C23semidirect
470. #88148C23semidirect
471. #88147C23semidirect
472. #88147C23semidirect
473. #88146C23semidirect
474. C4⋊C4×D13C23semidirect
475. C4⋊C4×D13C23semidirect
476. C4⋊C4×D13C23semidirect
477. #88143C23semidirect
478. #88143C23semidirect
479. #88143C23semidirect
480. #88142C23semidirect
481. #88142C23semidirect
482. #88142C23semidirect
483. #88140C23semidirect
484. #88140C23semidirect
486. #88139C23semidirect
487. #88139C23semidirect
488. #88139C23semidirect
489. #88139C23semidirect
494. #88138C23semidirect
495. #88138C23semidirect
496. #88138C23semidirect
497. #88138C23semidirect
499. #88137C23semidirect
503. #88135C23semidirect
504. #88135C23semidirect
505. #88135C23semidirect
506. #88135C23semidirect
510. C22⋊C4×D13C23semidirect
511. C22⋊C4×D13C23semidirect
512. C22⋊C4×D13C23semidirect
513. #88133C23semidirect
514. #88133C23semidirect
515. #88133C23semidirect
516. #88133C23semidirect
517. #88133C23semidirect
518. #88133C23semidirect
519. #88133C23semidirect
520. #88132C23semidirect
521. #88132C23semidirect
522. #88132C23semidirect
523. #88130C23semidirect
524. #88130C23semidirect
527. C4×D52C23semidirect
528. C4×D52C23semidirect
529. C4×D52C23semidirect
530. #88126C23semidirect
531. #88126C23semidirect
532. C42×D13C23semidirect
533. #88124C23semidirect
534. C4×Dic26C23semidirect
799. C2×#553D13semidirect
983. #553C2×D13semidirect
1027. C2×#126C2×D13semidirect
1028. C2×#126C2×D13semidirect
1033. C2×#125C2×D13semidirect
1066. C2×#123C2×D13semidirect
1107. C2×#121C2×D13semidirect
1108. C2×#121C2×D13semidirect
1135. C2×C4×D4C2×D13semidirect
1136. C2×C4×D4C2×D13semidirect
1137. C2×C4×D4C2×D13semidirect
1138. C2×C4×D4C2×D13semidirect
1142. C2×#117C2×D13semidirect
1147. C22×C4⋊C4C2×D13semidirect
1310. #126C22×D13semidirect
1311. #126C22×D13semidirect
1316. #125C22×D13semidirect
1349. #123C22×D13semidirect
1390. #121C22×D13semidirect
1391. #121C22×D13semidirect
1418. C4×D4C22×D13semidirect
1419. C4×D4C22×D13semidirect
1420. C4×D4C22×D13semidirect
1421. C4×D4C22×D13semidirect
1425. #117C22×D13semidirect
1468. C2×C4⋊C4C22×D13semidirect
1541. C2×C13#3560semidirect
1805. C13C2×#3560semidirect
2027. C2#13129375direct (N × H)

Maximal subgroups

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

subgroupindex
#131293752
C2×#117194042
C2×#117193562
C2×#117193252
C2×#117194142
C2×#117192632
C2×#117192452
C2×#117194102
C2×#117192322
C2×#117192122
C2×#117193602
C2×#117193172
C2×#117192552
C2×#117193152
C2×#117194152
C2×#117192662
C2×#117193972
C2×#117192202
C2×#117192692
C2×#117193622
C2×#117192652
C2×#117193182
C2×#117193132
C2×#117193582
C2×#117192532
C2×#117192332
C2×D13×#1262
C2×C13×#5532
C2×#356013