Finite Group Databasebeta

← C2×#13128772 #16770888

Subgroups — C2×#13128772 #16770888

Order 3328.

8082 conjugacy classes of subgroups.

The subgroup lattice has 2064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128772C2132yesmaximal, direct product factor
2C2×#11719386C211yesmaximal, characteristic, complemented
3C2×#11719340C211yesmaximal, characteristic, complemented
4C2×#11719323C211yesmaximal, characteristic, complemented
5C2×#11719366C211yesmaximal, characteristic, complemented
6C2×#11719306C211yesmaximal, characteristic, complemented
7C2×#11719413C211yesmaximal, characteristic, complemented
8C2×#11719292C211yesmaximal, characteristic, complemented
9C2×#11719384C211yesmaximal, characteristic, complemented
10C2×#11719342C211yesmaximal, characteristic, complemented
11C2×#11719410C211yesmaximal, characteristic, complemented
12C2×#11719360C211yesmaximal, characteristic, complemented
13C2×#11719317C211yesmaximal, characteristic, complemented
14C2×#11719315C211yesmaximal, characteristic, complemented
15C2×#11719296C211yesmaximal, characteristic, complemented
16C2×#11719296C211yesmaximal, characteristic, complemented
17C2×#11719295C211yesmaximal, characteristic, complemented
18C2×#11719367C211yesmaximal, characteristic, complemented
19C2×#11719320C211yesmaximal, characteristic, complemented
20C2×#11719269C211yesmaximal, characteristic, complemented
21C2×#11719412C211yesmaximal, characteristic, complemented
22C2×#11719383C211yesmaximal, characteristic, complemented
23C2×#11719411C211yesmaximal, characteristic, complemented
24C2×#11719385C211yesmaximal, characteristic, complemented
25C2×#11719311C211yesmaximal, characteristic, complemented
26C2×#11719252C211yesmaximal, characteristic, complemented
27C22×#88137C211yesmaximal, characteristic, complemented
28C2×D13×#123C211yesmaximal, characteristic, complemented
29C2×#11719251C211yesmaximal, characteristic, complemented
30C2×#11719191C211yesmaximal, characteristic, complemented
31C2×C4×D4×D13C211yesmaximal, characteristic, complemented
32C2×C13×#538C211yesmaximal, characteristic, complemented
33C23×C22⋊D13C2211yescharacteristic
34C23×C22⋊D13C2211yescharacteristic
35C22×#6129C2211yescharacteristic
36C22×#6129C2211yescharacteristic, complemented
37C22×D4×D13C2211yescharacteristic
38C22×D4×D13C2211yescharacteristic
39C22×#6127C2211yescharacteristic, complemented
40C23×C4×D13C2211yescharacteristic, complemented
41C23×C4×D13C2211yescharacteristic, complemented
42C13×#538C22116yescomplemented
43C2×C13×#126C2211yescharacteristic, complemented
44C2×C13×#126C2211yescharacteristic, complemented
45C2×C13×#124C2211yescharacteristic, complemented
46C2×C13×#124C2211yescharacteristic, complemented
47C2×C13×#123C2211yescharacteristic, complemented
48C2×C13×#123C2211yescharacteristic, complemented
49C2×C13×C22⋊Q8C2211yescharacteristic, complemented
50C2×C13×#121C2211yescharacteristic, complemented
51C2×C13×#121C2211yescharacteristic, complemented
52C2×C13×#121C2211yescharacteristic, complemented
53C2×C13×#120C2211yescharacteristic
54C2×C13×#120C2211yescharacteristic, complemented
55C2×C4×D4×C13C2211yescharacteristic, complemented
56C2×C4×D4×C13C2211yescharacteristic, complemented
57C22×C13×C22⋊C4C2211yescharacteristic, complemented
58C22×C22⋊Dic13C2211yescharacteristic, complemented
59C22×C22⋊Dic13C2211yescharacteristic, complemented
60C2×#88201C2211yescharacteristic, complemented
61C2×#88200C2211yescharacteristic, complemented
62C2×#88200C2211yescharacteristic, complemented
63C2×Q8×Dic13C2211yescharacteristic, complemented
64C2×#88194C2211yescharacteristic
65C2×#88193C2211yescharacteristic
66C2×#88193C2211yescharacteristic
67C2×#88193C2211yescharacteristic, complemented
68C2×#88193C2211yescharacteristic, complemented
69C2×#88193C2211yescharacteristic, complemented
70C2×#88193C2211yescharacteristic, complemented
71C2×#88193C2211yescharacteristic, complemented
72C2×#88192C2211yescharacteristic
73C2×#88192C2211yescharacteristic, complemented
74C2×#88192C2211yescharacteristic, complemented
75C2×#88191C2211yescharacteristic
76C2×#88191C2211yescharacteristic, complemented
77C2×#88191C2211yescharacteristic, complemented
78C2×#88191C2211yescharacteristic, complemented
79C2×#88190C2211yescharacteristic, complemented
80C2×#88189C2211yescharacteristic, complemented
81C2×#88189C2211yescharacteristic, complemented
82C2×#88189C2211yescharacteristic, complemented
83C2×D4×Dic13C2211yescharacteristic, complemented
84C2×D4×Dic13C2211yescharacteristic, complemented
85C2×D4×Dic13C2211yescharacteristic, complemented
86C2×D4×Dic13C2211yescharacteristic, complemented
87C2×D4×Dic13C2211yescharacteristic, complemented
88C2×#88183C2211yescharacteristic, complemented
89C2×C4×C22⋊D13C2211yescharacteristic
90C2×C4×C22⋊D13C2211yescharacteristic
91C2×C4×C22⋊D13C2211yescharacteristic, complemented
92C2×C4×C22⋊D13C2211yescharacteristic, complemented
93C2×C4×C22⋊D13C2211yescharacteristic, complemented
94C2×C4×C22⋊D13C2211yescharacteristic, complemented
95C2×C4×C22⋊D13C2211yescharacteristic, complemented
96C22×#6103C2211yescharacteristic, complemented
97C22×C4⋊Dic13C2211yescharacteristic, complemented
98C2×#88178C2211yescharacteristic, complemented
99C22×#6101C2211yescharacteristic, complemented
100C22×#6101C2211yescharacteristic, complemented
101#11719413C22116yescomplemented
102#11719412C22116yescomplemented
103#11719411C22116yescomplemented
104#11719410C22116yescomplemented
105#11719386C22116yescomplemented
106#11719385C22116yescomplemented
107#11719384C22116yescomplemented
108#11719383C22116yescomplemented
109#11719367C22116yescomplemented
110#11719366C22116yescomplemented
111#11719360C22116yescomplemented
112D13×#123C22116yescomplemented
113#11719342C22116yescomplemented
114#11719340C22116yescomplemented
115#11719323C22116yescomplemented
116#11719320C22116yescomplemented
117#11719317C22116yescomplemented
118#11719315C22116yescomplemented
119#11719311C22116yescomplemented
120#11719306C22116yescomplemented
121#11719296C22116yescomplemented
122#11719296C22116yescomplemented
123#11719295C22116yescomplemented
124#11719292C22116yescomplemented
125#11719269C22116yescomplemented
126#11719252C22116yescomplemented
127#11719251C22116yescomplemented
128C4×D4×D13C22116yescomplemented
129C2×#88152C2211yescharacteristic, complemented
130C2×#88152C2211yescharacteristic, complemented
131C2×#88151C2211yescharacteristic, complemented
132C2×#88151C2211yescharacteristic, complemented
133C2×#88150C2211yescharacteristic, complemented
134C2×#88150C2211yescharacteristic, complemented
135C2×#88150C2211yescharacteristic, complemented
136C2×#88148C2211yescharacteristic, complemented
137C2×#88148C2211yescharacteristic, complemented
138C2×#88148C2211yescharacteristic, complemented
139C2×#88148C2211yescharacteristic, complemented
140C2×#88147C2211yescharacteristic, complemented
141C2×#88147C2211yescharacteristic, complemented
142C2×#88146C2211yescharacteristic, complemented
143C2×#88146C2211yescharacteristic, complemented
144C2×C4⋊C4×D13C2211yescharacteristic, complemented
145C2×C4⋊C4×D13C2211yescharacteristic, complemented
146C2×C4⋊C4×D13C2211yescharacteristic, complemented
147C2×#88144C2211yescharacteristic, complemented
148C2×#88143C2211yescharacteristic, complemented
149C2×#88143C2211yescharacteristic, complemented
150C2×#88143C2211yescharacteristic, complemented
151C2×#88142C2211yescharacteristic, complemented
152C2×#88141C2211yescharacteristic, complemented
153C2×#88140C2211yescharacteristic, complemented
154C2×#88140C2211yescharacteristic, complemented
155C2×#88140C2211yescharacteristic, complemented
156C2×#88140C2211yescharacteristic, complemented
157C2×#88139C2211yescharacteristic, complemented
158C2×#88139C2211yescharacteristic, complemented
159C2×#88139C2211yescharacteristic, complemented
160C2×#88138C2211yescharacteristic
161C2×#88138C2211yescharacteristic
162C2×#88138C2211yescharacteristic, complemented
163C2×#88138C2211yescharacteristic, complemented
164C2×#88137C2211yescharacteristic
165C2×#88137C2211yescharacteristic
166C2×#88137C2211yescharacteristic
167C2×#88137C22116yescomplemented
168C2×#88137C2211yescharacteristic, complemented
169C2×#88137C2211yescharacteristic, complemented
170C2×#88137C2211yescharacteristic, complemented
171C2×#88137C2211yescharacteristic, complemented
172C2×#88137C2211yescharacteristic, complemented
173C2×#88137C2211yescharacteristic, complemented
174C2×#88137C2211yescharacteristic, complemented
175C2×#88137C2211yescharacteristic, complemented
176C2×#88137C2211yescharacteristic, complemented
177C2×#88136C2211yescharacteristic
178C2×#88136C2211yescharacteristic
179#11719191C22116yescomplemented
180C2×#88135C2211yescharacteristic
181C2×#88135C2211yescharacteristic
182C2×#88135C2211yescharacteristic
183C2×#88135C2211yescharacteristic, complemented
184C2×#88135C2211yescharacteristic, complemented
185C2×#88135C2211yescharacteristic, complemented
186C2×#88135C2211yescharacteristic, complemented
187C2×#88135C2211yescharacteristic, complemented
188C2×#88135C2211yescharacteristic, complemented
189C2×#88135C2211yescharacteristic, complemented
190C2×#88135C2211yescharacteristic, complemented
191C2×C22⋊C4×D13C2211yescharacteristic, complemented
192C2×C22⋊C4×D13C2211yescharacteristic, complemented
193C2×C22⋊C4×D13C2211yescharacteristic, complemented
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×#88132C2211yescharacteristic, complemented
203C2×#88132C2211yescharacteristic, complemented
204C2×#88132C2211yescharacteristic, complemented
205C2×#88132C2211yescharacteristic, complemented
206C2×#88131C2211yescharacteristic, complemented
207C2×#88131C2211yescharacteristic, complemented
208C2×#88131C2211yescharacteristic, complemented
209C2×#88131C2211yescharacteristic, complemented
210C2×#88131C2211yescharacteristic, complemented
211C2×#88130C2211yescharacteristic, 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
219C25×C13C2311yescharacteristic
220C24×D13C2311yescharacteristic
221C24×D13C2311yescharacteristic
222C24×D13C2311yescharacteristic
223C22×Q8×C13C2311yescharacteristic
224C22×D4×C13C2311yescharacteristic
225C22×D4×C13C2311yescharacteristic
226C22×D4×C13C2311yescharacteristic
227C22×D4×C13C2311yescharacteristic
228C22×D4×C13C2311yescharacteristic
229C22×D4×C13C2311yescharacteristic
230C22×D4×C13C2311yescharacteristic
231C23×C4×C13C2311yescharacteristic
232C23×C4×C13C2311yescharacteristic
233C23×C4×C13C2311yescharacteristic
234C23×C4×C13C2311yescharacteristic
235C22×C22⋊D13—28no—
236C22×C22⋊D13—44no—
237C22×C22⋊D13C2311yescharacteristic
238C22×C22⋊D13C2311yescharacteristic
239C22×C22⋊D13C2311yescharacteristic
240C22×C22⋊D13C2311yescharacteristic
241C22×C22⋊D13C2311yescharacteristic
242C22×C22⋊D13C2311yescharacteristic
243C22×C22⋊D13C2311yescharacteristic
244C22×C22⋊D13C2318yes—
245C22×C22⋊D13C2311yescharacteristic
246C22×C22⋊D13C2311yescharacteristic
247C22×C22⋊D13C2311yescharacteristic
248C22×C22⋊D13C2318yes—
249C22×C22⋊D13C2311yescharacteristic
250C22×C22⋊D13C2311yescharacteristic
251C22×C22⋊D13C2311yescharacteristic
252C22×C22⋊D13C2311yescharacteristic
253C23×Dic13C2311yescharacteristic
254C23×Dic13C2311yescharacteristic
255C23×Dic13C2311yescharacteristic
256C23×Dic13C2311yescharacteristic
257C23×Dic13C2311yescharacteristic
258C23×Dic13C2311yescharacteristic
259C23×Dic13C2311yescharacteristic
260C23×Dic13C2311yescharacteristic
261C23×Dic13C2311yescharacteristic
262C2×#6129—28no—
263C2×#6129—44no—
264C2×#6129C2318yes—
265C2×#6129C2318yescomplemented
266C2×D4×D13—28no—
267C2×D4×D13—44no—
268C2×D4×D13C2318yes—
269C2×D4×D13C2318yes—
270C2×#6127—44no—
271C2×#6127C2318yescomplemented
272C22×D52C2311yescharacteristic
273C22×D52C2311yescharacteristic
274C22×D52C2311yescharacteristic
275C22×C4×D13—44no—
276C22×C4×D13—44no—
277C22×C4×D13C2311yescharacteristic
278C22×C4×D13C2311yescharacteristic
279C22×C4×D13C2311yescharacteristic
280C22×C4×D13C2311yescharacteristic
281C22×C4×D13C2311yescharacteristic
282C22×C4×D13C2311yescharacteristic
283C22×C4×D13C2311yescharacteristic
284C22×C4×D13C2311yescharacteristic
285C22×C4×D13C2311yescharacteristic
286C22×C4×D13C2311yescharacteristic
287C22×C4×D13C2311yescharacteristic
288C22×C4×D13C2311yescharacteristic
289C22×C4×D13C2311yescharacteristic
290C22×C4×D13C2311yescharacteristic
291C22×C4×D13C2318yescomplemented
292C22×C4×D13C2318yescomplemented
293C22×Dic26C2311yescharacteristic
294C22×Dic26C2311yescharacteristic
295C22×Dic26C2311yescharacteristic
296C13×#126C2318yescomplemented
297C13×#126C2318yescomplemented
298C13×#124C2318yescomplemented
299C13×#124C2318yescomplemented
300C13×#123C2318yescomplemented
301C13×#123C2318yescomplemented
302C13×C22⋊Q8C2318yescomplemented
303C13×#121C2318yescomplemented
304C13×#121C2318yescomplemented
305C13×#121C2318yescomplemented
306C13×#120C2318yes—
307C13×#120C2318yescomplemented
308C4×D4×C13C2318yescomplemented
309C4×D4×C13C2318yescomplemented
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×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×C13×C22⋊C4C2311yescharacteristic
324C2×C13×C22⋊C4C2311yescharacteristic
325C2×C13×C22⋊C4C2311yescharacteristic
326C2×C13×C22⋊C4C2311yescharacteristic
327C2×C13×C22⋊C4C2311yescharacteristic
328C2×C13×C22⋊C4C2311yescharacteristic
329C2×C13×C22⋊C4C2311yescharacteristic
330C2×C13×C22⋊C4C2318yescomplemented
331C2×C42×C13C2311yescharacteristic
332C2×C42×C13C2311yescharacteristic
333C2×C22⋊Dic13C2311yescharacteristic
334C2×C22⋊Dic13C2311yescharacteristic
335C2×C22⋊Dic13C2311yescharacteristic
336C2×C22⋊Dic13C2311yescharacteristic
337C2×C22⋊Dic13C2311yescharacteristic
338C2×C22⋊Dic13C2311yescharacteristic
339C2×C22⋊Dic13C2311yescharacteristic
340C2×C22⋊Dic13C2311yescharacteristic
341C2×C22⋊Dic13C2311yescharacteristic
342C2×C22⋊Dic13C2311yescharacteristic
343C2×C22⋊Dic13C2311yescharacteristic
344C2×C22⋊Dic13C2311yescharacteristic
345C2×C22⋊Dic13C2311yescharacteristic
346C2×C22⋊Dic13C2311yescharacteristic
347C2×C22⋊Dic13C2318yescomplemented
348C2×C22⋊Dic13C2318yescomplemented
349#88201C2318yescomplemented
350#88200C2318yescomplemented
351#88200C2318yescomplemented
352Q8×Dic13C2318yescomplemented
353#88194C2318yes—
354#88193C2318yes—
355#88193C2318yes—
356#88193C2318yescomplemented
357#88193C2318yescomplemented
358#88193C2318yescomplemented
359#88193C2318yescomplemented
360#88193C2318yescomplemented
361#88192C2318yes—
362#88192C2318yescomplemented
363#88192C2318yescomplemented
364#88191C2318yes—
365#88191C2318yescomplemented
366#88191C2318yescomplemented
367#88191C2318yescomplemented
368#88190C2318yescomplemented
369#88189C2318yescomplemented
370#88189C2318yescomplemented
371#88189C2318yescomplemented
372D4×Dic13C2318yescomplemented
373D4×Dic13C2318yescomplemented
374D4×Dic13C2318yescomplemented
375D4×Dic13C2318yescomplemented
376D4×Dic13C2318yescomplemented
377#88183C2318yescomplemented
378C4×C22⋊D13C2318yes—
379C4×C22⋊D13C2318yes—
380C4×C22⋊D13C2318yescomplemented
381C4×C22⋊D13C2318yescomplemented
382C4×C22⋊D13C2318yescomplemented
383C4×C22⋊D13C2318yescomplemented
384C4×C22⋊D13C2318yescomplemented
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×#6103C2311yescharacteristic
404C2×#6103C2311yescharacteristic
405C2×#6103C2318yescomplemented
406C2×C4⋊Dic13C2311yescharacteristic
407C2×C4⋊Dic13C2311yescharacteristic
408C2×C4⋊Dic13C2311yescharacteristic
409C2×C4⋊Dic13C2311yescharacteristic
410C2×C4⋊Dic13C2311yescharacteristic
411C2×C4⋊Dic13C2311yescharacteristic
412C2×C4⋊Dic13C2311yescharacteristic
413C2×C4⋊Dic13C2311yescharacteristic
414C2×C4⋊Dic13C2311yescharacteristic
415C2×C4⋊Dic13C2311yescharacteristic
416C2×C4⋊Dic13C2318yescomplemented
417#88178C2318yescomplemented
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×#6101C2311yescharacteristic
436C2×#6101C2311yescharacteristic
437C2×#6101C2311yescharacteristic
438C2×#6101C2318yescomplemented
439C2×#6101C2318yescomplemented
440C2×C4×Dic13C2311yescharacteristic
441C2×C4×Dic13C2311yescharacteristic
442C2×C4×Dic13C2311yescharacteristic
443C2×C4×Dic13C2311yescharacteristic
444C2×C4×Dic13C2311yescharacteristic
445C2×C4×Dic13C2311yescharacteristic
446C2×C4×Dic13C2311yescharacteristic
447C2×C4×Dic13C2311yescharacteristic
448C2×C4×Dic13C2311yescharacteristic
449C2×C4×Dic13C2311yescharacteristic
450#88152C2318yescomplemented
451#88152C2318yescomplemented
452#88151C2318yescomplemented
453#88151C2318yescomplemented
454#88150C2318yescomplemented
455#88150C2318yescomplemented
456#88150C2318yescomplemented
457#88148C2318yescomplemented
458#88148C2318yescomplemented
459#88148C2318yescomplemented
460#88148C2318yescomplemented
461#88147C2318yescomplemented
462#88147C2318yescomplemented
463#88146C2318yescomplemented
464#88146C2318yescomplemented
465C4⋊C4×D13C2318yescomplemented
466C4⋊C4×D13C2318yescomplemented
467C4⋊C4×D13C2318yescomplemented
468#88144C2318yescomplemented
469#88143C2318yescomplemented
470#88143C2318yescomplemented
471#88143C2318yescomplemented
472#88142C2318yescomplemented
473#88141C2318yescomplemented
474#88140C2318yescomplemented
475#88140C2318yescomplemented
476#88140C2318yescomplemented
477#88140C2318yescomplemented
478#88139C2318yescomplemented
479#88139C2318yescomplemented
480#88139C2318yescomplemented
481#88138C2318yes—
482#88138C2318yes—
483#88138C2318yescomplemented
484#88138C2318yescomplemented
485#88137C2318yes—
486#88137C2318yes—
487#88137C2318yes—
488#88137C2318yescomplemented
489#88137C2318yescomplemented
490#88137C2318yescomplemented
491#88137C2318yescomplemented
492#88137C2318yescomplemented
493#88137C2318yescomplemented
494#88137C2318yescomplemented
495#88137C2318yescomplemented
496#88137C2318yescomplemented
497#88136C2318yes—
498#88136C2318yes—
499#88135C2318yes—
500#88135C2318yes—
501#88135C2318yes—
502#88135C2318yescomplemented
503#88135C2318yescomplemented
504#88135C2318yescomplemented
505#88135C2318yescomplemented
506#88135C2318yescomplemented
507#88135C2318yescomplemented
508#88135C2318yescomplemented
509#88135C2318yescomplemented
510C22⋊C4×D13C2318yescomplemented
511C22⋊C4×D13C2318yescomplemented
512C22⋊C4×D13C2318yescomplemented
513C22⋊C4×D13C2318yescomplemented
514C22⋊C4×D13C2318yescomplemented
515C22⋊C4×D13C2318yescomplemented
516#88133C2318yescomplemented
517#88133C2318yescomplemented
518#88133C2318yescomplemented
519#88133C2318yescomplemented
520#88133C2318yescomplemented
521#88132C2318yescomplemented
522#88132C2318yescomplemented
523#88132C2318yescomplemented
524#88132C2318yescomplemented
525#88131C2318yescomplemented
526#88131C2318yescomplemented
527#88131C2318yescomplemented
528#88131C2318yescomplemented
529#88131C2318yescomplemented
530#88130C2318yescomplemented
531C4×D52C2318yescomplemented
532C4×D52C2318yescomplemented
533#88126C2318yescomplemented
534#88126C2318yescomplemented
535C42×D13C2318yescomplemented
536#88124C2318yescomplemented
537C4×Dic26C2318yescomplemented
538C2×#3513—131nomaximal, Sylow
539C24×C13—24no—
540C24×C13—42no—
541C24×C13—42no—
542C24×C13C2411yescharacteristic
543C24×C13C2411yescharacteristic
544C24×C13C2411yescharacteristic
545C24×C13C2411yescharacteristic
546C24×C13C2411yescharacteristic
547C24×C13C2414yes—
548C23×D13—24no—
549C23×D13—24no—
550C23×D13—24no—
551C23×D13—24no—
552C23×D13—24no—
553C23×D13—42no—
554C23×D13—42no—
555C23×D13—42no—
556C23×D13—42no—
557C23×D13C2411yescharacteristic
558C23×D13C2411yescharacteristic
559C23×D13C2414yes—
560C23×D13C2414yes—
561C23×D13C2411yescharacteristic
562C23×D13C2411yescharacteristic
563C23×D13C2414yes—
564C2×Q8×C13—42no—
565C2×Q8×C13C2414yes—
566C2×D4×C13—24no—
567C2×D4×C13—24no—
568C2×D4×C13—42no—
569C2×D4×C13—42no—
570C2×D4×C13—42no—
571C2×D4×C13—42no—
572C2×D4×C13—42no—
573C2×D4×C13C2414yes—
574C2×D4×C13C2414yes—
575C2×D4×C13C2414yes—
576C2×D4×C13C2414yes—
577C2×D4×C13C2414yes—
578C2×D4×C13C2414yes—
579C2×D4×C13C2414yes—
580C22×C4×C13—42no—
581C22×C4×C13—42no—
582C22×C4×C13—42no—
583C22×C4×C13—42no—
584C22×C4×C13C2411yescharacteristic
585C22×C4×C13C2411yescharacteristic
586C22×C4×C13C2411yescharacteristic
587C22×C4×C13C2411yescharacteristic
588C22×C4×C13C2411yescharacteristic
589C22×C4×C13C2411yescharacteristic
590C22×C4×C13C2411yescharacteristic
591C22×C4×C13C2411yescharacteristic
592C22×C4×C13C2411yescharacteristic
593C22×C4×C13C2411yescharacteristic
594C22×C4×C13C2414yes—
595C22×C4×C13C2414yes—
596C22×C4×C13C2414yes—
597C22×C4×C13C2414yes—
598C2×C22⋊D13—24no—
599C2×C22⋊D13—24no—
600C2×C22⋊D13—24no—
601C2×C22⋊D13—24no—
602C2×C22⋊D13—24no—
603C2×C22⋊D13—24no—
604C2×C22⋊D13—232no—
605C2×C22⋊D13—24no—
606C2×C22⋊D13—24no—
607C2×C22⋊D13—42no—
608C2×C22⋊D13—42no—
609C2×C22⋊D13—42no—
610C2×C22⋊D13—42no—
611C2×C22⋊D13—42no—
612C2×C22⋊D13—416no—
613C2×C22⋊D13#4118yescomplemented
614C2×C22⋊D13C2414yes—
615C2×C22⋊D13C2414yes—
616C2×C22⋊D13C2414yes—
617C2×C22⋊D13C2414yes—
618C2×C22⋊D13C2414yes—
619C2×C22⋊D13C2414yes—
620C2×C22⋊D13C2414yes—
621C2×C22⋊D13C2414yes—
622C2×C22⋊D13C2414yes—
623C2×C22⋊D13C2414yes—
624C2×C22⋊D13C2414yes—
625C2×C22⋊D13C2414yes—
626C2×C22⋊D13C2414yes—
627C2×C22⋊D13C2414yes—
628C22×Dic13—24no—
629C22×Dic13—24no—
630C22×Dic13—24no—
631C22×Dic13—42no—
632C22×Dic13—42no—
633C22×Dic13—42no—
634C22×Dic13—42no—
635C22×Dic13—42no—
636C22×Dic13—42no—
637C22×Dic13C2414yes—
638C22×Dic13C2414yes—
639C22×Dic13C2414yes—
640C22×Dic13C2411yescharacteristic
641C22×Dic13C2411yescharacteristic
642C22×Dic13C2411yescharacteristic
643C22×Dic13C2411yescharacteristic
644C22×Dic13C2411yescharacteristic
645C22×Dic13C2411yescharacteristic
646C22×Dic13C2411yescharacteristic
647C22×Dic13C2411yescharacteristic
648C22×Dic13C2411yescharacteristic
649C22×Dic13C2411yescharacteristic
650C22×Dic13C2411yescharacteristic
651C22×Dic13C2414yes—
652C22×Dic13C2414yes—
653C22×Dic13C2414yes—
654C22×Dic13C2414yes—
655C22×Dic13C2414yes—
656C22×Dic13C2414yes—
657C22×Dic13C2411yescharacteristic
658#6129—232no—
659#6129—416no—
660D4×D13—232no—
661D4×D13—416no—
662#6127—416no—
663C2×D52—24no—
664C2×D52—24no—
665C2×D52—42no—
666C2×D52C2414yes—
667C2×D52C2414yes—
668C2×D52C2414yes—
669C2×C4×D13—24no—
670C2×C4×D13—24no—
671C2×C4×D13—24no—
672C2×C4×D13—24no—
673C2×C4×D13—24no—
674C2×C4×D13—416no—
675C2×C4×D13—416no—
676C2×C4×D13—42no—
677C2×C4×D13—42no—
678C2×C4×D13—42no—
679C2×C4×D13—42no—
680C2×C4×D13—42no—
681C2×C4×D13—42no—
682C2×C4×D13—42no—
683C2×C4×D13—42no—
684C2×C4×D13—42no—
685C2×C4×D13C2414yes—
686C2×C4×D13C2414yes—
687C2×C4×D13C2414yes—
688C2×C4×D13C2414yes—
689C2×C4×D13C2414yes—
690C2×C4×D13C2414yes—
691C2×C4×D13C2414yes—
692C2×C4×D13C2414yes—
693C2×C4×D13C2414yes—
694C2×C4×D13C2414yes—
695C2×C4×D13C2414yes—
696C2×C4×D13C2414yes—
697C2×C4×D13C2414yes—
698C2×C4×D13C2414yes—
699C2×Dic26—24no—
700C2×Dic26—42no—
701C2×Dic26—42no—
702C2×Dic26C2414yes—
703C2×Dic26C2414yes—
704C2×Dic26C2414yes—
705C13×C4⋊C4C2414yes—
706C13×C4⋊C4C2414yes—
707C13×C4⋊C4C2414yes—
708C13×C4⋊C4C2414yes—
709C13×C4⋊C4C2414yes—
710C13×C4⋊C4C2414yes—
711C13×C22⋊C4C2414yes—
712C13×C22⋊C4C2414yes—
713C13×C22⋊C4C2414yes—
714C13×C22⋊C4C2414yes—
715C13×C22⋊C4C2414yes—
716C13×C22⋊C4C2414yes—
717C13×C22⋊C4C2414yes—
718C13×C22⋊C4C2414yes—
719C13×C22⋊C4C2414yes—
720C13×C22⋊C4C2414yes—
721C13×C22⋊C4C2414yes—
722C13×C22⋊C4C2414yes—
723C13×C22⋊C4C2414yes—
724C13×C22⋊C4C2414yes—
725C42×C13C2414yes—
726C42×C13C2414yes—
727C22⋊Dic13C2414yes—
728C22⋊Dic13C2414yes—
729C22⋊Dic13C2414yes—
730C22⋊Dic13C2414yes—
731C22⋊Dic13C2414yes—
732C22⋊Dic13C2414yes—
733C22⋊Dic13C2414yes—
734C22⋊Dic13C2414yes—
735C22⋊Dic13C2414yes—
736C22⋊Dic13C2414yes—
737C22⋊Dic13C2414yes—
738C22⋊Dic13C2414yes—
739C22⋊Dic13C2414yes—
740C22⋊Dic13C2414yes—
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—
759#6103C2414yes—
760#6103C2414yes—
761C4⋊Dic13C2414yes—
762C4⋊Dic13C2414yes—
763C4⋊Dic13C2414yes—
764C4⋊Dic13C2414yes—
765C4⋊Dic13C2414yes—
766C4⋊Dic13C2414yes—
767C4⋊Dic13C2414yes—
768C4⋊Dic13C2414yes—
769C4⋊Dic13C2414yes—
770C4⋊Dic13C2414yes—
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—
784#6101C2414yes—
785#6101C2414yes—
786#6101C2414yes—
787#6101C2414yes—
788#6101C2414yes—
789#6101C2414yes—
790#6101C2414yes—
791C4×Dic13C2414yes—
792C4×Dic13C2414yes—
793C4×Dic13C2414yes—
794C4×Dic13C2414yes—
795C4×Dic13C2414yes—
796C4×Dic13C2414yes—
797C4×Dic13C2414yes—
798C4×Dic13C2414yes—
799C4×Dic13C2414yes—
800C4×Dic13C2414yes—
801#3513—1332no—
802C2×#559—131no—
803C2×#554—131no—
804C2×#553—131no—
805C2×#553—131no—
806C2×#553—131no—
807C2×#552—131no—
808C2×#551—131no—
809C2×#551—131no—
810C2×#551—131no—
811C2×#551—131no—
812C2×#547—131no—
813C2×#546—131no—
814C2×#546—131no—
815C2×#546—131no—
816C2×#546—131no—
817C2×D42—131no—
818C2×#542—131no—
819C2×#540—131no—
820C2×#539—131no—
821C2×#539—131no—
822C2×#538—131no—
823C2×#538D1311yescharacteristic, complemented
824C2×#529—131no—
825C2×#529—131no—
826C2×#525—131no—
827C2×#525—131no—
828C22×#123—131no—
829C22×#123—131no—
830C2×#520—131no—
831C2×#518—131no—
832C22×C4×D4—131no—
833C23×C13—22no—
834C23×C13—22no—
835C23×C13—22no—
836C23×C13—22no—
837C23×C13—22no—
838C23×C13—22no—
839C23×C13—22no—
840C23×C13—22no—
841C23×C13—22no—
842C23×C13—22no—
843C23×C13—22no—
844C23×C13—22no—
845C23×C13—22no—
846C23×C13—22no—
847C23×C13—28no—
848C23×C13—44no—
849C23×C13—44no—
850C23×C13—88no—
851C23×C13C2×#4114yes—
852C23×C13C2512yes—
853C23×C13C2512yes—
854C23×C13C2512yes—
855C23×C13C2512yes—
856C23×C13C2512yes—
857C23×C13C2511yescharacteristic
858C22×D13—22no—
859C22×D13—22no—
860C22×D13—22no—
861C22×D13—22no—
862C22×D13—22no—
863C22×D13—28no—
864C22×D13—22no—
865C22×D13—22no—
866C22×D13—22no—
867C22×D13—22no—
868C22×D13—22no—
869C22×D13—28no—
870C22×D13—28no—
871C22×D13—28no—
872C22×D13—28no—
873C22×D13—44no—
874C22×D13—44no—
875C22×D13—416no—
876C22×D13—44no—
877C22×D13—44no—
878C22×D13—416no—
879C22×D13—88no—
880C22×D13C2×#4114yes—
881C22×D13H(5,𝔽2)14yes—
882C22×D13C2512yes—
883C22×D13C2512yes—
884C22×D13C2512yes—
885C22×D13C2512yes—
886Q8×C13—44no—
887D4×C13—28no—
888D4×C13—28no—
889D4×C13—44no—
890D4×C13—44no—
891D4×C13—44no—
892D4×C13—44no—
893D4×C13—44no—
894C2×C4×C13—22no—
895C2×C4×C13—22no—
896C2×C4×C13—22no—
897C2×C4×C13—22no—
898C2×C4×C13—22no—
899C2×C4×C13—22no—
900C2×C4×C13—22no—
901C2×C4×C13—22no—
902C2×C4×C13—22no—
903C2×C4×C13—22no—
904C2×C4×C13—44no—
905C2×C4×C13—44no—
906C2×C4×C13—44no—
907C2×C4×C13—44no—
908C2×C4×C13C2512yes—
909C2×C4×C13C2512yes—
910C2×C4×C13C2512yes—
911C2×C4×C13C2512yes—
912C2×C4×C13C2512yes—
913C2×C4×C13C2512yes—
914C2×C4×C13C2512yes—
915C2×C4×C13C2512yes—
916C2×C4×C13C2512yes—
917C2×C4×C13C2512yes—
918C22⋊D13—28no—
919C22⋊D13—28no—
920C22⋊D13—28no—
921C22⋊D13—28no—
922C22⋊D13—28no—
923C22⋊D13—28no—
924C22⋊D13—28no—
925C22⋊D13—28no—
926C22⋊D13—44no—
927C22⋊D13—44no—
928C22⋊D13—44no—
929C22⋊D13—44no—
930C22⋊D13—44no—
931C22⋊D13C2×#41116yescomplemented
932C2×Dic13—22no—
933C2×Dic13—22no—
934C2×Dic13—28no—
935C2×Dic13—22no—
936C2×Dic13—22no—
937C2×Dic13—22no—
938C2×Dic13—22no—
939C2×Dic13—22no—
940C2×Dic13—22no—
941C2×Dic13—22no—
942C2×Dic13—22no—
943C2×Dic13—22no—
944C2×Dic13—28no—
945C2×Dic13—28no—
946C2×Dic13—44no—
947C2×Dic13—44no—
948C2×Dic13—44no—
949C2×Dic13—44no—
950C2×Dic13—44no—
951C2×Dic13—44no—
952C2×Dic13C2×#4114yes—
953C2×Dic13C2512yes—
954C2×Dic13C2512yes—
955C2×Dic13C2512yes—
956C2×Dic13C2512yes—
957C2×Dic13C2512yes—
958C2×Dic13C2512yes—
959C2×Dic13C2512yes—
960C2×Dic13C2512yes—
961C2×Dic13C2512yes—
962C2×Dic13C2512yes—
963C2×Dic13C2512yes—
964C2×Dic13C2512yes—
965D52—28no—
966D52—28no—
967D52—44no—
968C4×D13—28no—
969C4×D13—28no—
970C4×D13—28no—
971C4×D13—28no—
972C4×D13—28no—
973C4×D13—44no—
974C4×D13—44no—
975C4×D13—44no—
976C4×D13—44no—
977C4×D13—44no—
978C4×D13—44no—
979C4×D13—44no—
980C4×D13—44no—
981C4×D13—44no—
982Dic26—28no—
983Dic26—44no—
984Dic26—44no—
985C22×#41—131no—
986C22×#41—131no—
987C22×#41—131no—
988C23×D4—131no—
989C23×D4—131no—
990C23×D4—131no—
991C23×D4—131no—
992C24×C4—131no—
993C24×C4—131no—
994#559—1316no—
995#554—1316no—
996#553—1316no—
997#553—1316no—
998#553—1316no—
999#552—1316no—
1000#551—1316no—
1001#551—1316no—
1002#551—1316no—
1003#551—1316no—
1004#547—1316no—
1005#546—1316no—
1006#546—1316no—
1007#546—1316no—
1008#546—1316no—
1009D42—1316no—
1010#542—1316no—
1011#540—1316no—
1012#539—1316no—
1013#539—1316no—
1014#538—1316no—
1015#538C2×D13116yescomplemented
1016C2×C4⋊Q8—131no—
1017C2×#127—131no—
1018#529—1316no—
1019#529—1316no—
1020C2×#126—131no—
1021C2×#126—131no—
1022C2×#126—131no—
1023C2×#126—131no—
1024C2×#126—131no—
1025C2×#126—131no—
1026C2×#126—131no—
1027C2×#126—131no—
1028C2×#126C2×D1311yescharacteristic, complemented
1029C2×#126C2×D1311yescharacteristic, complemented
1030C2×#125—131no—
1031C2×#125—131no—
1032C2×#125—131no—
1033C2×#125—131no—
1034C2×#125—131no—
1035C2×#124—131no—
1036C2×#124—131no—
1037C2×#124—131no—
1038C2×#124—131no—
1039C2×#124—131no—
1040C2×#124C2×D1311yescharacteristic, complemented
1041C2×#124C2×D1311yescharacteristic, complemented
1042#525—1316no—
1043#525—1316no—
1044C2×#123—131no—
1045C2×#123—131no—
1046C2×#123—131no—
1047C2×#123—131no—
1048C2×#123—1316no—
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×#123—131no—
1066C2×#123—131no—
1067C2×#123—131no—
1068C2×#123—131no—
1069C2×#123—1316no—
1070C2×#123C2×D1311yescharacteristic, complemented
1071C2×#123C2×D1311yescharacteristic, complemented
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⋊Q8—131no—
1083C2×C22⋊Q8—131no—
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×#121C2×D1311yescharacteristic, complemented
1100C2×#121C2×D1311yescharacteristic, complemented
1101C2×#121C2×D1311yescharacteristic, complemented
1102C2×#120—131no—
1103C2×#120—131no—
1104C2×#120—131no—
1105C2×#120—131no—
1106C2×#120—131no—
1107C2×#120—131no—
1108C2×#120C2×D1311yescharacteristic
1109C2×#120C2×D1311yescharacteristic, complemented
1110#520—1316no—
1111#518—1316no—
1112C2×C4×Q8—131no—
1113C2×C4×Q8—131no—
1114C2×C4×Q8—131no—
1115C2×C4×D4—131no—
1116C2×C4×D4—131no—
1117C2×C4×D4—131no—
1118C2×C4×D4—131no—
1119C2×C4×D4—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—1316no—
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×D4—131no—
1138C2×C4×D4—131no—
1139C2×C4×D4—131no—
1140C2×C4×D4—131no—
1141C2×C4×D4—131no—
1142C2×C4×D4—131no—
1143C2×C4×D4C2×D1311yescharacteristic, complemented
1144C2×C4×D4C2×D1311yescharacteristic, complemented
1145C2×#117—131no—
1146C2×#117—131no—
1147C2×#117—131no—
1148C2×#117—131no—
1149C2×#117—131no—
1150C2×#117—131no—
1151C2×#117—131no—
1152C2×#117—131no—
1153C2×#117—131no—
1154C22×C4⋊C4—131no—
1155C22×C4⋊C4—131no—
1156C22×C4⋊C4—131no—
1157C22×C4⋊C4—131no—
1158C22×C4⋊C4—131no—
1159C22×C4⋊C4—131no—
1160C22×C22⋊C4—131no—
1161C22×C22⋊C4—131no—
1162C22×C22⋊C4—131no—
1163C22×C22⋊C4—131no—
1164C22×C22⋊C4—131no—
1165C22×C22⋊C4—131no—
1166C22×C22⋊C4—131no—
1167C22×C22⋊C4—131no—
1168C22×C22⋊C4—131no—
1169C22×C22⋊C4C2×D1311yescharacteristic, complemented
1170C22×C42—131no—
1171C22×C13—22no—
1172C22×C13—22no—
1173C22×C13—28no—
1174C22×C13—22no—
1175C22×C13—22no—
1176C22×C13—22no—
1177C22×C13—22no—
1178C22×C13—22no—
1179C22×C13—22no—
1180C22×C13—22no—
1181C22×C13—22no—
1182C22×C13—22no—
1183C22×C13—22no—
1184C22×C13—22no—
1185C22×C13—22no—
1186C22×C13—44no—
1187C22×C13—44no—
1188C22×C13—44no—
1189C22×C13—44no—
1190C22×C13—88no—
1191C22×C13C22×#4114yes—
1192C22×C13C22×#4112yes—
1193C22×C13C2×H(5,𝔽2)12yes—
1194C22×C13#58512yes—
1195C22×C13C2611yescharacteristic
1196C2×D13—22no—
1197C2×D13—22no—
1198C2×D13—22no—
1199C2×D13—22no—
1200C2×D13—28no—
1201C2×D13—28no—
1202C2×D13—22no—
1203C2×D13—22no—
1204C2×D13—22no—
1205C2×D13—22no—
1206C2×D13—22no—
1207C2×D13—22no—
1208C2×D13—416no—
1209C2×D13—416no—
1210C2×D13—44no—
1211C2×D13—44no—
1212C2×D13—88no—
1213C2×D13C22×#4114yes—
1214C2×D13C2×H(5,𝔽2)14yes—
1215C4×C13—22no—
1216C4×C13—22no—
1217C4×C13—22no—
1218C4×C13—22no—
1219C4×C13—22no—
1220C4×C13—22no—
1221C4×C13—22no—
1222C4×C13—22no—
1223C4×C13—22no—
1224C4×C13—22no—
1225Dic13—22no—
1226Dic13—22no—
1227Dic13—22no—
1228Dic13—22no—
1229Dic13—22no—
1230Dic13—22no—
1231Dic13—22no—
1232Dic13—22no—
1233Dic13—22no—
1234Dic13—22no—
1235Dic13—22no—
1236Dic13C22×#4114yes—
1237C25—131no—
1238C25—131no—
1239C25—131no—
1240C25C22×D1311yescharacteristic
1241C2×#41—138no—
1242C2×#41—138no—
1243C2×#41—138no—
1244C2×#41—268no—
1245C2×#41—524no—
1246C2×#41—524no—
1247C22×Q8—131no—
1248C22×Q8—131no—
1249C22×Q8—131no—
1250C22×Q8C22×D1311yescharacteristic
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—131no—
1262C22×D4—131no—
1263C22×D4—131no—
1264C22×D4—131no—
1265C22×D4—131no—
1266C22×D4—138no—
1267C22×D4—138no—
1268C22×D4—138no—
1269C22×D4—131no—
1270C22×D4—131no—
1271C22×D4—131no—
1272C22×D4—268no—
1273C22×D4—268no—
1274C22×D4—524no—
1275C22×D4—524no—
1276C22×D4C22×D1311yescharacteristic
1277C22×D4C22×D1311yescharacteristic
1278C22×D4C22×D1311yescharacteristic
1279C22×D4C22×D1311yescharacteristic
1280C22×D4C22×D1311yescharacteristic
1281C22×D4C22×D1311yescharacteristic
1282C22×D4C22×D1311yescharacteristic
1283C23×C4—131no—
1284C23×C4—131no—
1285C23×C4—131no—
1286C23×C4—131no—
1287C23×C4—131no—
1288C23×C4—131no—
1289C23×C4—131no—
1290C23×C4—131no—
1291C23×C4—131no—
1292C23×C4—131no—
1293C23×C4—131no—
1294C23×C4—131no—
1295C23×C4—131no—
1296C23×C4—131no—
1297C23×C4—131no—
1298C23×C4—131no—
1299C23×C4—131no—
1300C23×C4—131no—
1301C23×C4—131no—
1302C23×C4—131no—
1303C23×C4—131no—
1304C23×C4—131no—
1305C23×C4—131no—
1306C23×C4—138no—
1307C23×C4—138no—
1308C23×C4—524no—
1309C23×C4—524no—
1310C23×C4C22×D1311yescharacteristic
1311C23×C4C22×D1311yescharacteristic
1312C23×C4C22×D1311yescharacteristic
1313C23×C4C22×D1311yescharacteristic
1314C4⋊Q8—138no—
1315#127—138no—
1316#126—138no—
1317#126—138no—
1318#126—138no—
1319#126—138no—
1320#126—138no—
1321#126—138no—
1322#126—138no—
1323#126—138no—
1324#126C22×D1318yescomplemented
1325#126C22×D1318yescomplemented
1326#125—138no—
1327#125—138no—
1328#125—138no—
1329#125—138no—
1330#125—138no—
1331#124—138no—
1332#124—138no—
1333#124—138no—
1334#124—138no—
1335#124—138no—
1336#124C22×D1318yescomplemented
1337#124C22×D1318yescomplemented
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#123—138no—
1349#123—138no—
1350#123—138no—
1351#123—138no—
1352#123—138no—
1353#123—138no—
1354#123—138no—
1355#123—138no—
1356#123—138no—
1357#123—138no—
1358#123—138no—
1359#123—138no—
1360#123—138no—
1361#123—138no—
1362#123C22×D1318yescomplemented
1363#123C22×D1318yescomplemented
1364C22⋊Q8—138no—
1365C22⋊Q8—138no—
1366C22⋊Q8—138no—
1367C22⋊Q8—138no—
1368C22⋊Q8—138no—
1369C22⋊Q8—138no—
1370C22⋊Q8—138no—
1371C22⋊Q8—138no—
1372C22⋊Q8—138no—
1373C22⋊Q8—138no—
1374C22⋊Q8—138no—
1375C22⋊Q8—138no—
1376C22⋊Q8C22×D1318yescomplemented
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×D1318yescomplemented
1392#121C22×D1318yescomplemented
1393#121C22×D1318yescomplemented
1394#120—138no—
1395#120—138no—
1396#120—138no—
1397#120—138no—
1398#120—138no—
1399#120—138no—
1400#120C22×D1318yes—
1401#120C22×D1318yescomplemented
1402C4×Q8—138no—
1403C4×Q8—138no—
1404C4×Q8—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×D4—138no—
1421C4×D4—138no—
1422C4×D4—138no—
1423C4×D4—138no—
1424C4×D4—138no—
1425C4×D4—138no—
1426C4×D4—138no—
1427C4×D4—138no—
1428C4×D4—138no—
1429C4×D4—138no—
1430C4×D4—138no—
1431C4×D4—138no—
1432C4×D4C22×D1318yescomplemented
1433C4×D4C22×D1318yescomplemented
1434#117—138no—
1435#117—138no—
1436#117—138no—
1437#117—138no—
1438#117—138no—
1439#117—138no—
1440#117—138no—
1441#117—138no—
1442#117—138no—
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—131no—
1456C2×C4⋊C4—138no—
1457C2×C4⋊C4—138no—
1458C2×C4⋊C4—131no—
1459C2×C4⋊C4—131no—
1460C2×C4⋊C4—131no—
1461C2×C4⋊C4—138no—
1462C2×C4⋊C4—131no—
1463C2×C4⋊C4—131no—
1464C2×C4⋊C4—131no—
1465C2×C4⋊C4—131no—
1466C2×C4⋊C4—131no—
1467C2×C4⋊C4—131no—
1468C2×C4⋊C4—131no—
1469C2×C4⋊C4—131no—
1470C2×C4⋊C4—131no—
1471C2×C4⋊C4—131no—
1472C2×C4⋊C4—131no—
1473C2×C4⋊C4—131no—
1474C2×C4⋊C4—131no—
1475C2×C4⋊C4—131no—
1476C2×C4⋊C4—138no—
1477C2×C4⋊C4—138no—
1478C2×C4⋊C4—138no—
1479C2×C4⋊C4C22×D1311yescharacteristic
1480C2×C4⋊C4C22×D1311yescharacteristic
1481C2×C4⋊C4C22×D1311yescharacteristic
1482C2×C4⋊C4C22×D1311yescharacteristic
1483C2×C4⋊C4C22×D1311yescharacteristic
1484C2×C4⋊C4C22×D1311yescharacteristic
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—138no—
1493C2×C22⋊C4—131no—
1494C2×C22⋊C4—131no—
1495C2×C22⋊C4—131no—
1496C2×C22⋊C4—138no—
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—131no—
1512C2×C22⋊C4—131no—
1513C2×C22⋊C4—131no—
1514C2×C22⋊C4—131no—
1515C2×C22⋊C4—138no—
1516C2×C22⋊C4—131no—
1517C2×C22⋊C4—131no—
1518C2×C22⋊C4—131no—
1519C2×C22⋊C4—131no—
1520C2×C22⋊C4—131no—
1521C2×C22⋊C4—131no—
1522C2×C22⋊C4—138no—
1523C2×C22⋊C4—138no—
1524C2×C22⋊C4—138no—
1525C2×C22⋊C4—138no—
1526C2×C22⋊C4—138no—
1527C2×C22⋊C4—138no—
1528C2×C22⋊C4C22×D1311yescharacteristic
1529C2×C22⋊C4C22×D1311yescharacteristic
1530C2×C22⋊C4C22×D1311yescharacteristic
1531C2×C22⋊C4C22×D1311yescharacteristic
1532C2×C22⋊C4C22×D1311yescharacteristic
1533C2×C22⋊C4C22×D1311yescharacteristic
1534C2×C22⋊C4C22×D1311yescharacteristic
1535C2×C22⋊C4C22×D1311yescharacteristic
1536C2×C22⋊C4C22×D1311yescharacteristic
1537C2×C22⋊C4C22×D1311yescharacteristic
1538C2×C22⋊C4C22×D1311yescharacteristic
1539C2×C22⋊C4C22×D1311yescharacteristic
1540C2×C22⋊C4C22×D1311yescharacteristic
1541C2×C22⋊C4C22×D1311yescharacteristic
1542C2×C22⋊C4C22×D1318yescomplemented
1543C2×C42—131no—
1544C2×C42—131no—
1545C2×C42—131no—
1546C2×C42—131no—
1547C2×C42—131no—
1548C2×C42—131no—
1549C2×C42—131no—
1550C2×C42—131no—
1551C2×C42—131no—
1552C2×C42—131no—
1553C2×C42—138no—
1554C2×C42C22×D1311yescharacteristic
1555C2×C42C22×D1311yescharacteristic
1556C2×C13—24no—
1557C2×C13—42no—
1558C2×C13—42no—
1559C2×C13—42no—
1560C2×C13—42no—
1561C2×C13#351314yescomplemented
1562C2×C13C23×#4111yescharacteristic
1563C2×C13C22×H(5,𝔽2)11yescharacteristic
1564C2×C13C2×#58511yescharacteristic
1565D13—24no—
1566D13—24no—
1567D13—42no—
1568D13—42no—
1569C24—24no—
1570C24—42no—
1571C24—42no—
1572C24—131no—
1573C24—131no—
1574C24—131no—
1575C24—131no—
1576C24—134no—
1577C24—134no—
1578C24—134no—
1579C24—264no—
1580C24—264no—
1581C24—264no—
1582C24—264no—
1583C24—264no—
1584C24—522no—
1585C24—522no—
1586C24—522no—
1587C24—522no—
1588C24C23×D1311yescharacteristic
1589C24C23×D1311yescharacteristic
1590C24C23×D1311yescharacteristic
1591C24C23×D1311yescharacteristic
1592C24C23×D1311yescharacteristic
1593C24C23×D1314yes—
1594#41—2632no—
1595#41—5216no—
1596#41—5216no—
1597C2×Q8—42no—
1598C2×Q8—134no—
1599C2×Q8—134no—
1600C2×Q8—134no—
1601C2×Q8—264no—
1602C2×Q8—522no—
1603C2×Q8—522no—
1604C2×Q8C23×D1314yes—
1605C2×D4—24no—
1606C2×D4—24no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—138no—
1613C2×D4—134no—
1614C2×D4—134no—
1615C2×D4—134no—
1616C2×D4—134no—
1617C2×D4—134no—
1618C2×D4—134no—
1619C2×D4—134no—
1620C2×D4—134no—
1621C2×D4—134no—
1622C2×D4—134no—
1623C2×D4—134no—
1624C2×D4—134no—
1625C2×D4—134no—
1626C2×D4—134no—
1627C2×D4—134no—
1628C2×D4—134no—
1629C2×D4—134no—
1630C2×D4—264no—
1631C2×D4—264no—
1632C2×D4—264no—
1633C2×D4—264no—
1634C2×D4—2632no—
1635C2×D4—2632no—
1636C2×D4—264no—
1637C2×D4—264no—
1638C2×D4—264no—
1639C2×D4—264no—
1640C2×D4—264no—
1641C2×D4—264no—
1642C2×D4—522no—
1643C2×D4—522no—
1644C2×D4—522no—
1645C2×D4—522no—
1646C2×D4—522no—
1647C2×D4—522no—
1648C2×D4—5216no—
1649C2×D4—5216no—
1650C2×D4C23×D1314yes—
1651C2×D4C23×D1314yes—
1652C2×D4C23×D1314yes—
1653C2×D4C23×D1314yes—
1654C2×D4C23×D1314yes—
1655C2×D4C23×D1314yes—
1656C2×D4C23×D1314yes—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—131no—
1662C22×C4—134no—
1663C22×C4—134no—
1664C22×C4—134no—
1665C22×C4—131no—
1666C22×C4—131no—
1667C22×C4—131no—
1668C22×C4—131no—
1669C22×C4—131no—
1670C22×C4—131no—
1671C22×C4—131no—
1672C22×C4—131no—
1673C22×C4—131no—
1674C22×C4—131no—
1675C22×C4—131no—
1676C22×C4—134no—
1677C22×C4—134no—
1678C22×C4—134no—
1679C22×C4—134no—
1680C22×C4—134no—
1681C22×C4—134no—
1682C22×C4—134no—
1683C22×C4—134no—
1684C22×C4—134no—
1685C22×C4—134no—
1686C22×C4—134no—
1687C22×C4—134no—
1688C22×C4—134no—
1689C22×C4—134no—
1690C22×C4—134no—
1691C22×C4—134no—
1692C22×C4—134no—
1693C22×C4—134no—
1694C22×C4—134no—
1695C22×C4—134no—
1696C22×C4—264no—
1697C22×C4—264no—
1698C22×C4—264no—
1699C22×C4—264no—
1700C22×C4—264no—
1701C22×C4—264no—
1702C22×C4—264no—
1703C22×C4—264no—
1704C22×C4—522no—
1705C22×C4—522no—
1706C22×C4—522no—
1707C22×C4—522no—
1708C22×C4—522no—
1709C22×C4—522no—
1710C22×C4—522no—
1711C22×C4—522no—
1712C22×C4—522no—
1713C22×C4—5216no—
1714C22×C4—5216no—
1715C22×C4—522no—
1716C22×C4—522no—
1717C22×C4—522no—
1718C22×C4—522no—
1719C22×C4—522no—
1720C22×C4—522no—
1721C22×C4C23×D1311yescharacteristic
1722C22×C4C23×D1311yescharacteristic
1723C22×C4C23×D1311yescharacteristic
1724C22×C4C23×D1311yescharacteristic
1725C22×C4C23×D1311yescharacteristic
1726C22×C4C23×D1311yescharacteristic
1727C22×C4C23×D1311yescharacteristic
1728C22×C4C23×D1311yescharacteristic
1729C22×C4C23×D1311yescharacteristic
1730C22×C4C23×D1311yescharacteristic
1731C22×C4C23×D1314yes—
1732C22×C4C23×D1314yes—
1733C22×C4C23×D1314yes—
1734C22×C4C23×D1314yes—
1735C4⋊C4—134no—
1736C4⋊C4—134no—
1737C4⋊C4—134no—
1738C4⋊C4—134no—
1739C4⋊C4—134no—
1740C4⋊C4—134no—
1741C4⋊C4—134no—
1742C4⋊C4—134no—
1743C4⋊C4—134no—
1744C4⋊C4—134no—
1745C4⋊C4—134no—
1746C4⋊C4—134no—
1747C4⋊C4—134no—
1748C4⋊C4—134no—
1749C4⋊C4—134no—
1750C4⋊C4—134no—
1751C4⋊C4—134no—
1752C4⋊C4—134no—
1753C4⋊C4—134no—
1754C4⋊C4—134no—
1755C4⋊C4—134no—
1756C4⋊C4—134no—
1757C4⋊C4—134no—
1758C4⋊C4—134no—
1759C4⋊C4—134no—
1760C4⋊C4—134no—
1761C4⋊C4—134no—
1762C4⋊C4—134no—
1763C4⋊C4—134no—
1764C4⋊C4—134no—
1765C4⋊C4C23×D1314yes—
1766C4⋊C4C23×D1314yes—
1767C4⋊C4C23×D1314yes—
1768C4⋊C4C23×D1314yes—
1769C4⋊C4C23×D1314yes—
1770C4⋊C4C23×D1314yes—
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⋊C4—134no—
1786C22⋊C4—134no—
1787C22⋊C4—134no—
1788C22⋊C4—134no—
1789C22⋊C4—134no—
1790C22⋊C4—134no—
1791C22⋊C4—134no—
1792C22⋊C4—134no—
1793C22⋊C4—134no—
1794C22⋊C4—134no—
1795C22⋊C4—134no—
1796C22⋊C4—134no—
1797C22⋊C4—134no—
1798C22⋊C4—134no—
1799C22⋊C4—134no—
1800C22⋊C4—134no—
1801C22⋊C4—134no—
1802C22⋊C4—134no—
1803C22⋊C4—134no—
1804C22⋊C4—134no—
1805C22⋊C4C23×D1314yes—
1806C22⋊C4C23×D1314yes—
1807C22⋊C4C23×D1314yes—
1808C22⋊C4C23×D1314yes—
1809C22⋊C4C23×D1314yes—
1810C22⋊C4C23×D1314yes—
1811C22⋊C4C23×D1314yes—
1812C22⋊C4C23×D1314yes—
1813C22⋊C4C23×D1314yes—
1814C22⋊C4C23×D1314yes—
1815C22⋊C4C23×D1314yes—
1816C22⋊C4C23×D1314yes—
1817C22⋊C4C23×D1314yes—
1818C22⋊C4C23×D1314yes—
1819C42—134no—
1820C42—134no—
1821C42—134no—
1822C42—134no—
1823C42—134no—
1824C42—134no—
1825C42—134no—
1826C42—134no—
1827C42—134no—
1828C42—134no—
1829C42C23×D1314yes—
1830C42C23×D1314yes—
1831C13C2×#351311yescharacteristic, complemented, Sylow
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—28no—
1847C23—44no—
1848C23—44no—
1849C23—88no—
1850C23—134no—
1851C23—134no—
1852C23—132no—
1853C23—132no—
1854C23—132no—
1855C23—132no—
1856C23—268no—
1857C23—268no—
1858C23—268no—
1859C23—268no—
1860C23—262no—
1861C23—262no—
1862C23—262no—
1863C23—262no—
1864C23—268no—
1865C23—262no—
1866C23—262no—
1867C23—262no—
1868C23—262no—
1869C23—262no—
1870C23—262no—
1871C23—524no—
1872C23—524no—
1873C23—524no—
1874C23—524no—
1875C23—5216no—
1876C23—5216no—
1877C23—1048no—
1878C23#41×D1314yes—
1879C23C24×D1312yes—
1880C23C24×D1312yes—
1881C23C24×D1312yes—
1882C23C24×D1312yes—
1883C23C24×D1312yes—
1884C23C24×D1311yescharacteristic
1885Q8—44no—
1886Q8—268no—
1887Q8—524no—
1888Q8—524no—
1889D4—28no—
1890D4—28no—
1891D4—44no—
1892D4—44no—
1893D4—44no—
1894D4—44no—
1895D4—44no—
1896D4—1316no—
1897D4—268no—
1898D4—268no—
1899D4—268no—
1900D4—268no—
1901D4—268no—
1902D4—268no—
1903D4—268no—
1904D4—268no—
1905D4—268no—
1906D4—268no—
1907D4—524no—
1908D4—524no—
1909D4—524no—
1910D4—524no—
1911D4—524no—
1912D4—524no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—44no—
1924C2×C4—44no—
1925C2×C4—44no—
1926C2×C4—44no—
1927C2×C4—134no—
1928C2×C4—132no—
1929C2×C4—132no—
1930C2×C4—132no—
1931C2×C4—132no—
1932C2×C4—132no—
1933C2×C4—132no—
1934C2×C4—132no—
1935C2×C4—132no—
1936C2×C4—132no—
1937C2×C4—132no—
1938C2×C4—132no—
1939C2×C4—132no—
1940C2×C4—268no—
1941C2×C4—268no—
1942C2×C4—268no—
1943C2×C4—268no—
1944C2×C4—268no—
1945C2×C4—268no—
1946C2×C4—268no—
1947C2×C4—262no—
1948C2×C4—262no—
1949C2×C4—262no—
1950C2×C4—268no—
1951C2×C4—262no—
1952C2×C4—262no—
1953C2×C4—262no—
1954C2×C4—262no—
1955C2×C4—262no—
1956C2×C4—262no—
1957C2×C4—262no—
1958C2×C4—262no—
1959C2×C4—524no—
1960C2×C4—524no—
1961C2×C4—524no—
1962C2×C4—524no—
1963C2×C4—524no—
1964C2×C4—524no—
1965C2×C4—524no—
1966C2×C4—524no—
1967C2×C4—524no—
1968C2×C4—524no—
1969C2×C4—524no—
1970C2×C4—524no—
1971C2×C4—524no—
1972C2×C4—524no—
1973C2×C4—524no—
1974C2×C4C24×D1312yes—
1975C2×C4C24×D1312yes—
1976C2×C4C24×D1312yes—
1977C2×C4C24×D1312yes—
1978C2×C4C24×D1312yes—
1979C2×C4C24×D1312yes—
1980C2×C4C24×D1312yes—
1981C2×C4C24×D1312yes—
1982C2×C4C24×D1312yes—
1983C2×C4C24×D1312yes—
1984C22—28no—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—22no—
1997C22—22no—
1998C22—22no—
1999C22—44no—
2000C22—44no—
2001C22—44no—
2002C22—44no—
2003C22—88no—
2004C22—134no—
2005C22—134no—
2006C22—268no—
2007C22—268no—
2008C22—262no—
2009C22—262no—
2010C22—262no—
2011C22—262no—
2012C22—262no—
2013C22—262no—
2014C22—262no—
2015C22—262no—
2016C22—262no—
2017C22—262no—
2018C22—5216no—
2019C22—5216no—
2020C22—524no—
2021C22—524no—
2022C22—1048no—
2023C22C2×#41×D1314yes—
2024C22C2×#41×D1312yes—
2025C22D13×H(5,𝔽2)12yes—
2026C22#1171965012yes—
2027C22C25×D1311yescharacteristic
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—22no—
2035C4—22no—
2036C4—22no—
2037C4—22no—
2038C4—134no—
2039C4—262no—
2040C4—262no—
2041C4—262no—
2042C4—262no—
2043C4—262no—
2044C4—262no—
2045C4—262no—
2046C4—262no—
2047C4—262no—
2048C4—262no—
2049C4—262no—
2050C2—24no—
2051C2—42no—
2052C2—42no—
2053C2—42no—
2054C2—42no—
2055C2—264no—
2056C2—264no—
2057C2—522no—
2058C2—522no—
2059C2#1312877214yesdirect product factor
2060C2C22×#41×D1311yescharacteristic
2061C2C2×D13×H(5,𝔽2)11yescharacteristic
2062C2C2×#1171965011yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#538C2
socleC23×C13C25
hypercenterC2×#538D13
hypocenterC13C2×#3513
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. #13128772C2direct (N × H)
2. C2×#11719386C2semidirect
3. C2×#11719340C2semidirect
4. C2×#11719323C2semidirect
5. C2×#11719366C2semidirect
6. C2×#11719306C2semidirect
7. C2×#11719413C2semidirect
8. C2×#11719292C2semidirect
9. C2×#11719384C2semidirect
10. C2×#11719342C2semidirect
11. C2×#11719410C2semidirect
12. C2×#11719360C2semidirect
13. C2×#11719317C2semidirect
14. C2×#11719315C2semidirect
15. C2×#11719296C2semidirect
16. C2×#11719296C2semidirect
17. C2×#11719295C2semidirect
18. C2×#11719367C2semidirect
19. C2×#11719320C2semidirect
20. C2×#11719269C2semidirect
21. C2×#11719412C2semidirect
22. C2×#11719383C2semidirect
23. C2×#11719411C2semidirect
24. C2×#11719385C2semidirect
25. C2×#11719311C2semidirect
26. C2×#11719252C2semidirect
27. C22×#88137C2semidirect
28. C2×D13×#123C2semidirect
29. C2×#11719251C2semidirect
30. C2×#11719191C2semidirect
31. C2×C4×D4×D13C2semidirect
32. C2×C13×#538C2semidirect
36. C22×#6129C22semidirect
39. C22×#6127C22semidirect
40. C23×C4×D13C22semidirect
41. C23×C4×D13C22semidirect
42. C13×#538C22semidirect
43. C2×C13×#126C22semidirect
44. C2×C13×#126C22semidirect
45. C2×C13×#124C22semidirect
46. C2×C13×#124C22semidirect
47. C2×C13×#123C22semidirect
48. C2×C13×#123C22semidirect
49. C2×C13×C22⋊Q8C22semidirect
50. C2×C13×#121C22semidirect
51. C2×C13×#121C22semidirect
52. C2×C13×#121C22semidirect
54. C2×C13×#120C22semidirect
55. C2×C4×D4×C13C22semidirect
56. C2×C4×D4×C13C22semidirect
57. C22×C13×C22⋊C4C22semidirect
58. C22×C22⋊Dic13C22semidirect
59. C22×C22⋊Dic13C22semidirect
60. C2×#88201C22semidirect
61. C2×#88200C22semidirect
62. C2×#88200C22semidirect
63. C2×Q8×Dic13C22semidirect
67. C2×#88193C22semidirect
68. C2×#88193C22semidirect
69. C2×#88193C22semidirect
70. C2×#88193C22semidirect
71. C2×#88193C22semidirect
73. C2×#88192C22semidirect
74. C2×#88192C22semidirect
76. C2×#88191C22semidirect
77. C2×#88191C22semidirect
78. C2×#88191C22semidirect
79. C2×#88190C22semidirect
80. C2×#88189C22semidirect
81. C2×#88189C22semidirect
82. C2×#88189C22semidirect
83. C2×D4×Dic13C22semidirect
84. C2×D4×Dic13C22semidirect
85. C2×D4×Dic13C22semidirect
86. C2×D4×Dic13C22semidirect
87. C2×D4×Dic13C22semidirect
88. C2×#88183C22semidirect
91. C2×C4×C22⋊D13C22semidirect
92. C2×C4×C22⋊D13C22semidirect
93. C2×C4×C22⋊D13C22semidirect
94. C2×C4×C22⋊D13C22semidirect
95. C2×C4×C22⋊D13C22semidirect
96. C22×#6103C22semidirect
97. C22×C4⋊Dic13C22semidirect
98. C2×#88178C22semidirect
99. C22×#6101C22semidirect
100. C22×#6101C22semidirect
101. #11719413C22semidirect
102. #11719412C22semidirect
103. #11719411C22semidirect
104. #11719410C22semidirect
105. #11719386C22semidirect
106. #11719385C22semidirect
107. #11719384C22semidirect
108. #11719383C22semidirect
109. #11719367C22semidirect
110. #11719366C22semidirect
111. #11719360C22semidirect
112. D13×#123C22semidirect
113. #11719342C22semidirect
114. #11719340C22semidirect
115. #11719323C22semidirect
116. #11719320C22semidirect
117. #11719317C22semidirect
118. #11719315C22semidirect
119. #11719311C22semidirect
120. #11719306C22semidirect
121. #11719296C22semidirect
122. #11719296C22semidirect
123. #11719295C22semidirect
124. #11719292C22semidirect
125. #11719269C22semidirect
126. #11719252C22semidirect
127. #11719251C22semidirect
128. C4×D4×D13C22semidirect
129. C2×#88152C22semidirect
130. C2×#88152C22semidirect
131. C2×#88151C22semidirect
132. C2×#88151C22semidirect
133. C2×#88150C22semidirect
134. C2×#88150C22semidirect
135. C2×#88150C22semidirect
136. C2×#88148C22semidirect
137. C2×#88148C22semidirect
138. C2×#88148C22semidirect
139. C2×#88148C22semidirect
140. C2×#88147C22semidirect
141. C2×#88147C22semidirect
142. C2×#88146C22semidirect
143. C2×#88146C22semidirect
144. C2×C4⋊C4×D13C22semidirect
145. C2×C4⋊C4×D13C22semidirect
146. C2×C4⋊C4×D13C22semidirect
147. C2×#88144C22semidirect
148. C2×#88143C22semidirect
149. C2×#88143C22semidirect
150. C2×#88143C22semidirect
151. C2×#88142C22semidirect
152. C2×#88141C22semidirect
153. C2×#88140C22semidirect
154. C2×#88140C22semidirect
155. C2×#88140C22semidirect
156. C2×#88140C22semidirect
157. C2×#88139C22semidirect
158. C2×#88139C22semidirect
159. C2×#88139C22semidirect
162. C2×#88138C22semidirect
163. C2×#88138C22semidirect
167. C2×#88137C22semidirect
168. C2×#88137C22semidirect
169. C2×#88137C22semidirect
170. C2×#88137C22semidirect
171. C2×#88137C22semidirect
172. C2×#88137C22semidirect
173. C2×#88137C22semidirect
174. C2×#88137C22semidirect
175. C2×#88137C22semidirect
176. C2×#88137C22semidirect
179. #11719191C22semidirect
183. C2×#88135C22semidirect
184. C2×#88135C22semidirect
185. C2×#88135C22semidirect
186. C2×#88135C22semidirect
187. C2×#88135C22semidirect
188. C2×#88135C22semidirect
189. C2×#88135C22semidirect
190. C2×#88135C22semidirect
191. C2×C22⋊C4×D13C22semidirect
192. C2×C22⋊C4×D13C22semidirect
193. C2×C22⋊C4×D13C22semidirect
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×#88132C22semidirect
203. C2×#88132C22semidirect
204. C2×#88132C22semidirect
205. C2×#88132C22semidirect
206. C2×#88131C22semidirect
207. C2×#88131C22semidirect
208. C2×#88131C22semidirect
209. C2×#88131C22semidirect
210. C2×#88131C22semidirect
211. C2×#88130C22semidirect
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
265. C2×#6129C23semidirect
271. C2×#6127C23semidirect
291. C22×C4×D13C23semidirect
292. C22×C4×D13C23semidirect
296. C13×#126C23semidirect
297. C13×#126C23semidirect
298. C13×#124C23semidirect
299. C13×#124C23semidirect
300. C13×#123C23semidirect
301. C13×#123C23semidirect
302. C13×C22⋊Q8C23semidirect
303. C13×#121C23semidirect
304. C13×#121C23semidirect
305. C13×#121C23semidirect
307. C13×#120C23semidirect
308. C4×D4×C13C23semidirect
309. C4×D4×C13C23semidirect
330. C2×C13×C22⋊C4C23semidirect
347. C2×C22⋊Dic13C23semidirect
348. C2×C22⋊Dic13C23semidirect
349. #88201C23semidirect
350. #88200C23semidirect
351. #88200C23semidirect
352. Q8×Dic13C23semidirect
356. #88193C23semidirect
357. #88193C23semidirect
358. #88193C23semidirect
359. #88193C23semidirect
360. #88193C23semidirect
362. #88192C23semidirect
363. #88192C23semidirect
365. #88191C23semidirect
366. #88191C23semidirect
367. #88191C23semidirect
368. #88190C23semidirect
369. #88189C23semidirect
370. #88189C23semidirect
371. #88189C23semidirect
372. D4×Dic13C23semidirect
373. D4×Dic13C23semidirect
374. D4×Dic13C23semidirect
375. D4×Dic13C23semidirect
376. D4×Dic13C23semidirect
377. #88183C23semidirect
380. C4×C22⋊D13C23semidirect
381. C4×C22⋊D13C23semidirect
382. C4×C22⋊D13C23semidirect
383. C4×C22⋊D13C23semidirect
384. C4×C22⋊D13C23semidirect
405. C2×#6103C23semidirect
416. C2×C4⋊Dic13C23semidirect
417. #88178C23semidirect
438. C2×#6101C23semidirect
439. C2×#6101C23semidirect
450. #88152C23semidirect
451. #88152C23semidirect
452. #88151C23semidirect
453. #88151C23semidirect
454. #88150C23semidirect
455. #88150C23semidirect
456. #88150C23semidirect
457. #88148C23semidirect
458. #88148C23semidirect
459. #88148C23semidirect
460. #88148C23semidirect
461. #88147C23semidirect
462. #88147C23semidirect
463. #88146C23semidirect
464. #88146C23semidirect
465. C4⋊C4×D13C23semidirect
466. C4⋊C4×D13C23semidirect
467. C4⋊C4×D13C23semidirect
468. #88144C23semidirect
469. #88143C23semidirect
470. #88143C23semidirect
471. #88143C23semidirect
472. #88142C23semidirect
473. #88141C23semidirect
474. #88140C23semidirect
475. #88140C23semidirect
476. #88140C23semidirect
477. #88140C23semidirect
478. #88139C23semidirect
479. #88139C23semidirect
480. #88139C23semidirect
483. #88138C23semidirect
484. #88138C23semidirect
488. #88137C23semidirect
489. #88137C23semidirect
490. #88137C23semidirect
491. #88137C23semidirect
492. #88137C23semidirect
493. #88137C23semidirect
494. #88137C23semidirect
495. #88137C23semidirect
496. #88137C23semidirect
502. #88135C23semidirect
503. #88135C23semidirect
504. #88135C23semidirect
505. #88135C23semidirect
506. #88135C23semidirect
507. #88135C23semidirect
508. #88135C23semidirect
509. #88135C23semidirect
510. C22⋊C4×D13C23semidirect
511. C22⋊C4×D13C23semidirect
512. C22⋊C4×D13C23semidirect
513. C22⋊C4×D13C23semidirect
514. C22⋊C4×D13C23semidirect
515. C22⋊C4×D13C23semidirect
516. #88133C23semidirect
517. #88133C23semidirect
518. #88133C23semidirect
519. #88133C23semidirect
520. #88133C23semidirect
521. #88132C23semidirect
522. #88132C23semidirect
523. #88132C23semidirect
524. #88132C23semidirect
525. #88131C23semidirect
526. #88131C23semidirect
527. #88131C23semidirect
528. #88131C23semidirect
529. #88131C23semidirect
530. #88130C23semidirect
531. C4×D52C23semidirect
532. C4×D52C23semidirect
533. #88126C23semidirect
534. #88126C23semidirect
535. C42×D13C23semidirect
536. #88124C23semidirect
537. C4×Dic26C23semidirect
613. C2×C22⋊D13#41semidirect
823. C2×#538D13semidirect
931. C22⋊D13C2×#41semidirect
1015. #538C2×D13semidirect
1028. C2×#126C2×D13semidirect
1029. C2×#126C2×D13semidirect
1040. C2×#124C2×D13semidirect
1041. C2×#124C2×D13semidirect
1070. C2×#123C2×D13semidirect
1071. C2×#123C2×D13semidirect
1084. C2×C22⋊Q8C2×D13semidirect
1099. C2×#121C2×D13semidirect
1100. C2×#121C2×D13semidirect
1101. C2×#121C2×D13semidirect
1109. C2×#120C2×D13semidirect
1143. C2×C4×D4C2×D13semidirect
1144. C2×C4×D4C2×D13semidirect
1169. C22×C22⋊C4C2×D13semidirect
1324. #126C22×D13semidirect
1325. #126C22×D13semidirect
1336. #124C22×D13semidirect
1337. #124C22×D13semidirect
1362. #123C22×D13semidirect
1363. #123C22×D13semidirect
1376. C22⋊Q8C22×D13semidirect
1391. #121C22×D13semidirect
1392. #121C22×D13semidirect
1393. #121C22×D13semidirect
1401. #120C22×D13semidirect
1432. C4×D4C22×D13semidirect
1433. C4×D4C22×D13semidirect
1542. C2×C22⋊C4C22×D13semidirect
1561. C2×C13#3513semidirect
1831. C13C2×#3513semidirect
2059. C2#13128772direct (N × H)

Maximal subgroups

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

subgroupindex
#131287722
C2×#117193862
C2×#117193402
C2×#117193232
C2×#117193662
C2×#117193062
C2×#117194132
C2×#117192922
C2×#117193842
C2×#117193422
C2×#117194102
C2×#117193602
C2×#117193172
C2×#117193152
C2×#117192962
C2×#117192952
C2×#117193672
C2×#117193202
C2×#117192692
C2×#117194122
C2×#117193832
C2×#117194112
C2×#117193852
C2×#117193112
C2×#117192522
C22×#881372
C2×D13×#1232
C2×#117192512
C2×#117191912
C2×C4×D4×D132
C2×C13×#5382
C2×#351313