Finite Group Databasebeta

← C2×#14542983 #17941522

Subgroups — C2×#14542983 #17941522

Order 4352.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542983C2132yesmaximal, direct product factor
2C2×#11763560C211yesmaximal, characteristic, complemented
3C2×#11763558C211yesmaximal, characteristic, complemented
4C2×#11763555C211yesmaximal, characteristic, complemented
5C2×#11763553C211yesmaximal, characteristic, complemented
6C2×#11763520C211yesmaximal, characteristic, complemented
7C2×#11763513C211yesmaximal, characteristic, complemented
8C2×#11763496C211yesmaximal, characteristic, complemented
9C2×#11763492C211yesmaximal, characteristic, complemented
10C2×#11763489C211yesmaximal, characteristic, complemented
11C2×#11763486C211yesmaximal, characteristic, complemented
12C2×#11763483C211yesmaximal, characteristic, complemented
13C2×#11763482C211yesmaximal, characteristic, complemented
14C2×#11763458C211yesmaximal, characteristic, complemented
15C2×#11763457C211yesmaximal, characteristic, complemented
16C2×#11763451C211yesmaximal, characteristic, complemented
17C2×#11763447C211yesmaximal, characteristic, complemented
18C2×#11763436C211yesmaximal, characteristic, complemented
19C2×#11763434C211yesmaximal, characteristic, complemented
20C2×#11763433C211yesmaximal, characteristic, complemented
21C2×#11763423C211yesmaximal, characteristic, complemented
22C2×#11763408C211yesmaximal, characteristic, complemented
23C2×#11763405C211yesmaximal, characteristic, complemented
24C2×#11763405C211yesmaximal, characteristic, complemented
25C2×#11763403C211yesmaximal, characteristic, complemented
26C2×#11763403C211yesmaximal, characteristic, complemented
27C2×#11763393C211yesmaximal, characteristic, complemented
28C2×#11763383C211yesmaximal, characteristic, complemented
29C2×#11763317C211yesmaximal, characteristic, complemented
30C2×#123×D17C211yesmaximal, characteristic, complemented
31C22×#10587632C211yesmaximal, characteristic, complemented
32C2×C17×#536C211yesmaximal, characteristic, complemented
33C22×#63252C2211yescharacteristic
34C22×#63254C2211yescharacteristic, complemented
35C22×D4×D17C2211yescharacteristic
36C23×C4×D17C2211yescharacteristic
37#11763560C22116yescomplemented
38#11763558C22116yescomplemented
39#11763555C22116yescomplemented
40#11763553C22116yescomplemented
41#11763520C22116yescomplemented
42#11763513C22116yescomplemented
43#11763496C22116yescomplemented
44#11763492C22116yescomplemented
45#11763489C22116yescomplemented
46#11763486C22116yescomplemented
47#11763483C22116yescomplemented
48#11763482C22116yescomplemented
49#11763458C22116yescomplemented
50#11763457C22116yescomplemented
51#11763451C22116yescomplemented
52#11763447C22116yescomplemented
53#11763436C22116yescomplemented
54#11763434C22116yescomplemented
55#11763433C22116yescomplemented
56#11763423C22116yescomplemented
57#11763408C22116yescomplemented
58#11763405C22116yescomplemented
59#11763405C22116yescomplemented
60#11763403C22116yescomplemented
61#11763403C22116yescomplemented
62#11763393C22116yescomplemented
63#11763383C22116yescomplemented
64C2×#10587574C2211yescharacteristic, complemented
65C2×#10587630C2211yescharacteristic, complemented
66C2×#10587630C2211yescharacteristic, complemented
67C2×#10587630C2211yescharacteristic, complemented
68C2×#10587584C2211yescharacteristic, complemented
69C2×#10587584C2211yescharacteristic, complemented
70C2×#10587584C2211yescharacteristic, complemented
71C2×#10587584C2211yescharacteristic, complemented
72C2×#10587584C2211yescharacteristic, complemented
73C2×#10587584C2211yescharacteristic, complemented
74C2×#10587562C2211yescharacteristic, complemented
75C2×#10587562C2211yescharacteristic, complemented
76C2×#10587565C2211yescharacteristic, complemented
77C2×#10587565C2211yescharacteristic, complemented
78C2×#10587565C2211yescharacteristic, complemented
79C2×#10587565C2211yescharacteristic, complemented
80C2×#10587556C2211yescharacteristic, complemented
81C2×#10587576C2211yescharacteristic, complemented
82C2×#10587576C2211yescharacteristic, complemented
83C2×#10587576C2211yescharacteristic, complemented
84C2×#10587575C2211yescharacteristic, complemented
85C2×#10587575C2211yescharacteristic, complemented
86C2×#10587575C2211yescharacteristic, complemented
87C2×#10587575C2211yescharacteristic, complemented
88C2×#10587575C2211yescharacteristic, complemented
89C2×#10587575C2211yescharacteristic, complemented
90C2×#10587633C2211yescharacteristic
91C2×#10587633C2211yescharacteristic, complemented
92C2×#10587633C2211yescharacteristic, complemented
93C2×#10587561C2211yescharacteristic, complemented
94C2×#10587571C2211yescharacteristic
95C2×#10587571C2211yescharacteristic, complemented
96#11763317C22116yescomplemented
97C2×#10587580C2211yescharacteristic
98C2×#10587580C2211yescharacteristic
99C2×#10587580C2211yescharacteristic
100C2×#10587580C2211yescharacteristic
101C2×#10587580C2211yescharacteristic, complemented
102C2×#10587580C2211yescharacteristic, complemented
103C2×#10587572C2211yescharacteristic
104C2×#10587572C2211yescharacteristic, complemented
105C2×#10587572C2211yescharacteristic, complemented
106C2×#10587572C2211yescharacteristic, complemented
107C2×#10587615C2211yescharacteristic
108C2×#10587615C2211yescharacteristic
109C2×#10587615C2211yescharacteristic
110C2×#10587615C2211yescharacteristic, complemented
111C2×#10587615C2211yescharacteristic, complemented
112C2×#10587615C2211yescharacteristic, complemented
113C2×#10587569C2211yescharacteristic
114C2×#10587569C2211yescharacteristic
115C2×#10587569C2211yescharacteristic
116C2×#10587569C2211yescharacteristic, complemented
117C2×#10587569C2211yescharacteristic, complemented
118C2×#10587569C2211yescharacteristic, complemented
119C2×#10587621C2211yescharacteristic
120C2×#10587621C2211yescharacteristic, complemented
121#123×D17C22116yescomplemented
122C2×#10587583C2211yescharacteristic
123C2×#10587583C2211yescharacteristic, complemented
124C2×#10587583C2211yescharacteristic, complemented
125C2×#10587610C2211yescharacteristic, complemented
126C2×#10587582C2211yescharacteristic
127C2×#10587582C2211yescharacteristic
128C2×#10587582C2211yescharacteristic
129C2×#10587582C2211yescharacteristic, complemented
130C2×#10587582C2211yescharacteristic, complemented
131C2×#10587582C2211yescharacteristic, complemented
132C2×#10587564C2211yescharacteristic, complemented
133C2×#10587564C2211yescharacteristic, complemented
134C2×#10587564C2211yescharacteristic, complemented
135C2×#10587564C2211yescharacteristic, complemented
136C2×#10587564C2211yescharacteristic, complemented
137C2×#10587564C2211yescharacteristic, complemented
138C2×#10587632C2211yescharacteristic
139C2×#10587632C2211yescharacteristic
140C2×#10587632C2211yescharacteristic
141C2×#10587632C2211yescharacteristic
142C2×#10587632C2211yescharacteristic
143C2×#10587632C2211yescharacteristic, complemented
144C2×#10587632C2211yescharacteristic, complemented
145C2×#10587632C2211yescharacteristic, complemented
146C2×#10587632C2211yescharacteristic, complemented
147C2×#10587632C2211yescharacteristic, complemented
148C2×#10587632C2211yescharacteristic, complemented
149C2×#10587632C2211yescharacteristic, complemented
150C2×#10587632C2211yescharacteristic, complemented
151C2×#10587632C2211yescharacteristic, complemented
152C2×#10587632C22116yescomplemented
153C2×#10587581C2211yescharacteristic
154C2×#10587616C2211yescharacteristic
155C2×#10587570C2211yescharacteristic
156C2×#10587570C2211yescharacteristic
157C2×#10587570C2211yescharacteristic, complemented
158C2×#10587570C2211yescharacteristic, complemented
159C2×#10587625C2211yescharacteristic
160C2×#10587625C2211yescharacteristic
161C2×#10587625C2211yescharacteristic
162C2×#10587625C2211yescharacteristic, complemented
163C2×#10587568C2211yescharacteristic
164C2×#10587568C2211yescharacteristic
165C2×#10587623C2211yescharacteristic
166C2×#10587623C2211yescharacteristic
167C2×C4×Dic34C2211yescharacteristic, complemented
168C2×#10587573C2211yescharacteristic, complemented
169C2×C4×D68C2211yescharacteristic
170C2×D4×Dic17C2211yescharacteristic
171C2×D4×Dic17C2211yescharacteristic, complemented
172C2×#10587579C2211yescharacteristic
173C2×#10587579C2211yescharacteristic
174C2×#10587579C2211yescharacteristic, complemented
175C2×C4×C22⋊D17C2211yescharacteristic
176C2×C4×C22⋊D17C2211yescharacteristic, complemented
177C2×#10587567C2211yescharacteristic
178C2×#10587567C2211yescharacteristic
179C2×#10587567C2211yescharacteristic
180C2×#10587567C2211yescharacteristic, complemented
181C2×#10587567C2211yescharacteristic, complemented
182C2×#10587567C2211yescharacteristic, complemented
183C2×#10587612C2211yescharacteristic, complemented
184C2×#10587578C2211yescharacteristic
185C2×#10587558C2211yescharacteristic
186C2×#10587558C2211yescharacteristic, complemented
187C2×#10587563C2211yescharacteristic, complemented
188C2×#10587563C2211yescharacteristic, complemented
189C22×C4⋊Dic17C2211yescharacteristic, complemented
190C22×#63225C2211yescharacteristic, complemented
191C22×#63225C2211yescharacteristic, complemented
192C22×#63225C2211yescharacteristic, complemented
193C2×C4⋊C4×D17C2211yescharacteristic
194C2×C4⋊C4×D17C2211yescharacteristic
195C2×C4⋊C4×D17C2211yescharacteristic, complemented
196C22×#63227C2211yescharacteristic
197C22×#63227C2211yescharacteristic
198C22×#63227C2211yescharacteristic
199C2×C22⋊C4×D17C2211yescharacteristic
200C2×C22⋊C4×D17C2211yescharacteristic
201C2×C22⋊C4×D17C2211yescharacteristic
202C2×C22⋊C4×D17C2211yescharacteristic
203C22×#41×C17C2211yescharacteristic
204C23×Q8×C17C2211yescharacteristic, complemented
205C17×#536C22116yescomplemented
206C2×C17×C4⋊Q8C2211yescharacteristic, complemented
207C2×C17×C4⋊Q8C2211yescharacteristic, complemented
208C2×C17×#124C2211yescharacteristic, complemented
209C2×C17×#124C2211yescharacteristic, complemented
210C2×C17×#123C2211yescharacteristic
211C2×C17×#123C2211yescharacteristic
212C2×C17×#123C2211yescharacteristic, complemented
213C2×C17×#123C2211yescharacteristic, complemented
214C2×C17×C22⋊Q8C2211yescharacteristic, complemented
215C2×C17×C22⋊Q8C2211yescharacteristic, complemented
216C2×C17×C22⋊Q8C2211yescharacteristic, complemented
217C2×C17×C22⋊Q8C2211yescharacteristic, complemented
218C2×C17×#117C2211yescharacteristic, complemented
219C24×D17C2311yescharacteristic
220C24×D17C2311yescharacteristic
221C2×#41×C17—44no—
222C2×#41×C17C2318yes—
223C22×Q8×C17—44no—
224C22×Q8×C17C2311yescharacteristic
225C22×Q8×C17C2311yescharacteristic
226C22×Q8×C17C2311yescharacteristic
227C22×Q8×C17C2311yescharacteristic
228C22×Q8×C17C2311yescharacteristic
229C22×Q8×C17C2318yescomplemented
230C22×D4×C17C2311yescharacteristic
231C22×D4×C17C2311yescharacteristic
232C22×D4×C17C2311yescharacteristic
233C23×C4×C17C2311yescharacteristic
234C23×C4×C17C2311yescharacteristic
235C23×C4×C17C2311yescharacteristic
236C23×C4×C17C2311yescharacteristic
237C23×C4×C17C2311yescharacteristic
238C22×C22⋊D17C2311yescharacteristic
239C22×C22⋊D17C2311yescharacteristic
240C22×C22⋊D17C2311yescharacteristic
241C22×C22⋊D17C2311yescharacteristic
242C22×C22⋊D17C2311yescharacteristic
243C22×C22⋊D17C2311yescharacteristic
244C22×C22⋊D17C2311yescharacteristic
245C22×C22⋊D17C2311yescharacteristic
246C23×Dic17C2311yescharacteristic
247C23×Dic17C2311yescharacteristic
248C23×Dic17C2311yescharacteristic
249C23×Dic17C2311yescharacteristic
250C23×Dic17C2311yescharacteristic
251C23×Dic17C2311yescharacteristic
252C2×#63254—44no—
253C2×#63254C2318yescomplemented
254C2×D4×D17—44no—
255C2×D4×D17C2318yes—
256C2×#63252—44no—
257C2×#63252C2318yes—
258C22×D68C2311yescharacteristic
259C22×D68C2311yescharacteristic
260C22×D68C2311yescharacteristic
261C22×D68C2311yescharacteristic
262C22×C4×D17—44no—
263C22×C4×D17C2311yescharacteristic
264C22×C4×D17C2311yescharacteristic
265C22×C4×D17C2311yescharacteristic
266C22×C4×D17C2311yescharacteristic
267C22×C4×D17C2311yescharacteristic
268C22×C4×D17C2311yescharacteristic
269C22×C4×D17C2311yescharacteristic
270C22×C4×D17C2311yescharacteristic
271C22×C4×D17C2311yescharacteristic
272C22×C4×D17C2311yescharacteristic
273C22×C4×D17C2311yescharacteristic
274C22×C4×D17C2311yescharacteristic
275C22×C4×D17C2318yes—
276C22×Dic34C2311yescharacteristic
277C22×Dic34C2311yescharacteristic
278C22×Dic34C2311yescharacteristic
279C22×Dic34C2311yescharacteristic
280C17×C4⋊Q8C2318yescomplemented
281C17×C4⋊Q8C2318yescomplemented
282C17×#124C2318yescomplemented
283C17×#124C2318yescomplemented
284C17×#123C2318yes—
285C17×#123C2318yes—
286C17×#123C2318yescomplemented
287C17×#123C2318yescomplemented
288C17×C22⋊Q8C2318yescomplemented
289C17×C22⋊Q8C2318yescomplemented
290C17×C22⋊Q8C2318yescomplemented
291C17×C22⋊Q8C2318yescomplemented
292C17×#117C2318yescomplemented
293C2×C4⋊C4×C17C2311yescharacteristic
294C2×C4⋊C4×C17C2311yescharacteristic
295C2×C4⋊C4×C17C2311yescharacteristic
296C2×C4⋊C4×C17C2311yescharacteristic
297C2×C4⋊C4×C17C2311yescharacteristic
298C2×C4⋊C4×C17C2311yescharacteristic
299C2×C4⋊C4×C17C2311yescharacteristic
300C2×C4⋊C4×C17C2311yescharacteristic
301C2×C4⋊C4×C17C2311yescharacteristic
302C2×C4⋊C4×C17C2311yescharacteristic
303C2×C22⋊C4×C17C2311yescharacteristic
304C2×C22⋊C4×C17C2311yescharacteristic
305C2×C22⋊C4×C17C2311yescharacteristic
306C2×C22⋊C4×C17C2311yescharacteristic
307C2×C22⋊C4×C17C2311yescharacteristic
308C2×C22⋊C4×C17C2311yescharacteristic
309C2×C22⋊C4×C17C2311yescharacteristic
310C2×C22⋊C4×C17C2311yescharacteristic
311C2×C22⋊C4×C17C2311yescharacteristic
312C2×C22⋊C4×C17C2311yescharacteristic
313C2×C42×C17C2311yescharacteristic
314C2×C42×C17C2311yescharacteristic
315C2×C22⋊Dic17C2311yescharacteristic
316C2×C22⋊Dic17C2311yescharacteristic
317C2×C22⋊Dic17C2311yescharacteristic
318C2×C22⋊Dic17C2311yescharacteristic
319C2×C22⋊Dic17C2311yescharacteristic
320C2×C22⋊Dic17C2311yescharacteristic
321C2×C22⋊Dic17C2311yescharacteristic
322C2×C22⋊Dic17C2311yescharacteristic
323#10587633C2318yes—
324#10587633C2318yescomplemented
325#10587633C2318yescomplemented
326#10587632C2318yes—
327#10587632C2318yes—
328#10587632C2318yes—
329#10587632C2318yes—
330#10587632C2318yes—
331#10587632C2318yescomplemented
332#10587632C2318yescomplemented
333#10587632C2318yescomplemented
334#10587632C2318yescomplemented
335#10587632C2318yescomplemented
336#10587632C2318yescomplemented
337#10587632C2318yescomplemented
338#10587632C2318yescomplemented
339#10587632C2318yescomplemented
340#10587630C2318yescomplemented
341#10587630C2318yescomplemented
342#10587630C2318yescomplemented
343#10587625C2318yes—
344#10587625C2318yes—
345#10587625C2318yes—
346#10587625C2318yescomplemented
347#10587623C2318yes—
348#10587623C2318yes—
349#10587621C2318yes—
350#10587621C2318yescomplemented
351D4×Dic17C2318yes—
352D4×Dic17C2318yescomplemented
353#10587616C2318yes—
354#10587615C2318yes—
355#10587615C2318yes—
356#10587615C2318yes—
357#10587615C2318yescomplemented
358#10587615C2318yescomplemented
359#10587615C2318yescomplemented
360C4×C22⋊D17C2318yes—
361C4×C22⋊D17C2318yescomplemented
362C2×#63227C2318yes—
363C2×#63227C2318yes—
364C2×#63227C2318yes—
365C2×#63227C2311yescharacteristic
366C2×#63227C2311yescharacteristic
367C2×#63227C2311yescharacteristic
368C2×#63227C2311yescharacteristic
369C2×#63227C2311yescharacteristic
370C2×#63227C2311yescharacteristic
371C2×#63227C2311yescharacteristic
372C2×#63227C2311yescharacteristic
373C2×#63227C2311yescharacteristic
374C2×#63227C2311yescharacteristic
375C2×#63227C2311yescharacteristic
376C2×#63227C2311yescharacteristic
377C2×#63227C2311yescharacteristic
378C2×#63227C2311yescharacteristic
379C2×#63227C2311yescharacteristic
380C2×#63227C2311yescharacteristic
381C2×#63227C2311yescharacteristic
382C2×#63227C2311yescharacteristic
383C2×#63227C2311yescharacteristic
384C2×#63227C2311yescharacteristic
385C2×#63227C2311yescharacteristic
386C2×#63227C2311yescharacteristic
387C2×#63227C2311yescharacteristic
388C2×#63227C2311yescharacteristic
389C2×#63227C2311yescharacteristic
390C2×#63227C2311yescharacteristic
391C2×#63227C2311yescharacteristic
392C2×#63227C2311yescharacteristic
393#10587612C2318yescomplemented
394C2×C4⋊Dic17C2311yescharacteristic
395C2×C4⋊Dic17C2311yescharacteristic
396C2×C4⋊Dic17C2311yescharacteristic
397C2×C4⋊Dic17C2311yescharacteristic
398C2×C4⋊Dic17C2311yescharacteristic
399C2×C4⋊Dic17C2311yescharacteristic
400C2×C4⋊Dic17C2311yescharacteristic
401C2×C4⋊Dic17C2311yescharacteristic
402C2×C4⋊Dic17C2311yescharacteristic
403C2×C4⋊Dic17C2311yescharacteristic
404C2×C4⋊Dic17C2311yescharacteristic
405C2×C4⋊Dic17C2311yescharacteristic
406C2×C4⋊Dic17C2318yescomplemented
407#10587610C2318yescomplemented
408C2×#63225C2311yescharacteristic
409C2×#63225C2311yescharacteristic
410C2×#63225C2311yescharacteristic
411C2×#63225C2311yescharacteristic
412C2×#63225C2311yescharacteristic
413C2×#63225C2311yescharacteristic
414C2×#63225C2311yescharacteristic
415C2×#63225C2311yescharacteristic
416C2×#63225C2311yescharacteristic
417C2×#63225C2311yescharacteristic
418C2×#63225C2311yescharacteristic
419C2×#63225C2311yescharacteristic
420C2×#63225C2311yescharacteristic
421C2×#63225C2311yescharacteristic
422C2×#63225C2311yescharacteristic
423C2×#63225C2311yescharacteristic
424C2×#63225C2311yescharacteristic
425C2×#63225C2311yescharacteristic
426C2×#63225C2311yescharacteristic
427C2×#63225C2311yescharacteristic
428C2×#63225C2311yescharacteristic
429C2×#63225C2311yescharacteristic
430C2×#63225C2311yescharacteristic
431C2×#63225C2311yescharacteristic
432C2×#63225C2311yescharacteristic
433C2×#63225C2311yescharacteristic
434C2×#63225C2311yescharacteristic
435C2×#63225C2311yescharacteristic
436C2×#63225C2318yescomplemented
437C2×#63225C2318yescomplemented
438C2×#63225C2318yescomplemented
439C2×C4×Dic17C2311yescharacteristic
440C2×C4×Dic17C2311yescharacteristic
441C2×C4×Dic17C2311yescharacteristic
442C2×C4×Dic17C2311yescharacteristic
443C2×C4×Dic17C2311yescharacteristic
444C2×C4×Dic17C2311yescharacteristic
445C2×C4×Dic17C2311yescharacteristic
446C2×C4×Dic17C2311yescharacteristic
447#10587584C2318yescomplemented
448#10587584C2318yescomplemented
449#10587584C2318yescomplemented
450#10587584C2318yescomplemented
451#10587584C2318yescomplemented
452#10587584C2318yescomplemented
453#10587583C2318yes—
454#10587583C2318yescomplemented
455#10587583C2318yescomplemented
456#10587582C2318yes—
457#10587582C2318yes—
458#10587582C2318yes—
459#10587582C2318yescomplemented
460#10587582C2318yescomplemented
461#10587582C2318yescomplemented
462#10587581C2318yes—
463#10587580C2318yes—
464#10587580C2318yes—
465#10587580C2318yes—
466#10587580C2318yes—
467#10587580C2318yescomplemented
468#10587580C2318yescomplemented
469#10587579C2318yes—
470#10587579C2318yes—
471#10587579C2318yescomplemented
472#10587578C2318yes—
473C4⋊C4×D17C2318yes—
474C4⋊C4×D17C2318yes—
475C4⋊C4×D17C2318yescomplemented
476#10587576C2318yescomplemented
477#10587576C2318yescomplemented
478#10587576C2318yescomplemented
479#10587575C2318yescomplemented
480#10587575C2318yescomplemented
481#10587575C2318yescomplemented
482#10587575C2318yescomplemented
483#10587575C2318yescomplemented
484#10587575C2318yescomplemented
485#10587574C2318yescomplemented
486#10587573C2318yescomplemented
487#10587572C2318yes—
488#10587572C2318yescomplemented
489#10587572C2318yescomplemented
490#10587572C2318yescomplemented
491#10587571C2318yes—
492#10587571C2318yescomplemented
493#10587570C2318yes—
494#10587570C2318yes—
495#10587570C2318yescomplemented
496#10587570C2318yescomplemented
497#10587569C2318yes—
498#10587569C2318yes—
499#10587569C2318yes—
500#10587569C2318yescomplemented
501#10587569C2318yescomplemented
502#10587569C2318yescomplemented
503#10587568C2318yes—
504#10587568C2318yes—
505#10587567C2318yes—
506#10587567C2318yes—
507#10587567C2318yes—
508#10587567C2318yescomplemented
509#10587567C2318yescomplemented
510#10587567C2318yescomplemented
511C22⋊C4×D17C2318yes—
512C22⋊C4×D17C2318yes—
513C22⋊C4×D17C2318yes—
514C22⋊C4×D17C2318yes—
515#10587565C2318yescomplemented
516#10587565C2318yescomplemented
517#10587565C2318yescomplemented
518#10587565C2318yescomplemented
519#10587564C2318yescomplemented
520#10587564C2318yescomplemented
521#10587564C2318yescomplemented
522#10587564C2318yescomplemented
523#10587564C2318yescomplemented
524#10587564C2318yescomplemented
525#10587563C2318yescomplemented
526#10587563C2318yescomplemented
527#10587562C2318yescomplemented
528#10587562C2318yescomplemented
529#10587561C2318yescomplemented
530C4×D68C2318yes—
531#10587558C2318yes—
532#10587558C2318yescomplemented
533#10587556C2318yescomplemented
534C4×Dic34C2318yescomplemented
535C24×C17C2411yescharacteristic
536C24×C17C2411yescharacteristic
537C24×C17C2411yescharacteristic
538C23×D17—24no—
539C23×D17—24no—
540C23×D17—24no—
541C23×D17—42no—
542C23×D17—42no—
543C23×D17—42no—
544C23×D17C2411yescharacteristic
545C23×D17C2411yescharacteristic
546C23×D17C2411yescharacteristic
547C23×D17C2414yes—
548C23×D17C2411yescharacteristic
549C23×D17C2414yes—
550#41×C17—416no—
551C2×Q8×C17—42no—
552C2×Q8×C17—42no—
553C2×Q8×C17—42no—
554C2×Q8×C17—42no—
555C2×Q8×C17—416no—
556C2×Q8×C17—42no—
557C2×Q8×C17C2414yes—
558C2×Q8×C17C2414yes—
559C2×Q8×C17C2414yes—
560C2×Q8×C17C2414yes—
561C2×Q8×C17C2414yes—
562C2×D4×C17—24no—
563C2×D4×C17—24no—
564C2×D4×C17—42no—
565C2×D4×C17C2414yes—
566C2×D4×C17C2414yes—
567C2×D4×C17C2414yes—
568C22×C4×C17—24no—
569C22×C4×C17—24no—
570C22×C4×C17—24no—
571C22×C4×C17—42no—
572C22×C4×C17—42no—
573C22×C4×C17C2414yes—
574C22×C4×C17C2414yes—
575C22×C4×C17C2411yescharacteristic
576C22×C4×C17C2411yescharacteristic
577C22×C4×C17C2411yescharacteristic
578C22×C4×C17C2411yescharacteristic
579C22×C4×C17C2411yescharacteristic
580C22×C4×C17C2411yescharacteristic
581C22×C4×C17C2411yescharacteristic
582C22×C4×C17C2411yescharacteristic
583C22×C4×C17C2411yescharacteristic
584C22×C4×C17C2411yescharacteristic
585C22×C4×C17C2411yescharacteristic
586C22×C4×C17C2411yescharacteristic
587C22×C4×C17C2414yes—
588C22×C4×C17C2414yes—
589C22×C4×C17C2414yes—
590C2×C22⋊D17—24no—
591C2×C22⋊D17—24no—
592C2×C22⋊D17—24no—
593C2×C22⋊D17—42no—
594C2×C22⋊D17—42no—
595C2×C22⋊D17—42no—
596C2×C22⋊D17—42no—
597C2×C22⋊D17—42no—
598C2×C22⋊D17C2414yes—
599C2×C22⋊D17C2414yes—
600C2×C22⋊D17C2414yes—
601C2×C22⋊D17C2414yes—
602C2×C22⋊D17C2414yes—
603C2×C22⋊D17C2414yes—
604C2×C22⋊D17C2414yes—
605C2×C22⋊D17C2414yes—
606C22×Dic17—24no—
607C22×Dic17—42no—
608C22×Dic17—42no—
609C22×Dic17—42no—
610C22×Dic17—42no—
611C22×Dic17—42no—
612C22×Dic17C2411yescharacteristic
613C22×Dic17C2411yescharacteristic
614C22×Dic17C2411yescharacteristic
615C22×Dic17C2411yescharacteristic
616C22×Dic17C2411yescharacteristic
617C22×Dic17C2411yescharacteristic
618C22×Dic17C2411yescharacteristic
619C22×Dic17C2411yescharacteristic
620C22×Dic17C2414yes—
621C22×Dic17C2411yescharacteristic
622C22×Dic17C2411yescharacteristic
623C22×Dic17C2411yescharacteristic
624C22×Dic17C2411yescharacteristic
625C22×Dic17C2414yes—
626C22×Dic17C2414yes—
627C22×Dic17C2414yes—
628C22×Dic17C2414yes—
629C22×Dic17C2414yes—
630#63254—416no—
631D4×D17—416no—
632#63252—416no—
633C2×D68—24no—
634C2×D68—42no—
635C2×D68—42no—
636C2×D68—42no—
637C2×D68C2414yes—
638C2×D68C2414yes—
639C2×D68C2414yes—
640C2×D68C2414yes—
641C2×C4×D17—24no—
642C2×C4×D17—42no—
643C2×C4×D17—42no—
644C2×C4×D17—42no—
645C2×C4×D17—42no—
646C2×C4×D17—416no—
647C2×C4×D17—42no—
648C2×C4×D17—42no—
649C2×C4×D17—42no—
650C2×C4×D17—42no—
651C2×C4×D17—42no—
652C2×C4×D17—42no—
653C2×C4×D17—42no—
654C2×C4×D17C2414yes—
655C2×C4×D17C2414yes—
656C2×C4×D17C2414yes—
657C2×C4×D17C2414yes—
658C2×C4×D17C2414yes—
659C2×C4×D17C2414yes—
660C2×C4×D17C2414yes—
661C2×C4×D17C2414yes—
662C2×C4×D17C2414yes—
663C2×C4×D17C2414yes—
664C2×C4×D17C2414yes—
665C2×C4×D17C2414yes—
666C2×Dic34—42no—
667C2×Dic34—42no—
668C2×Dic34—42no—
669C2×Dic34—42no—
670C2×Dic34C2414yes—
671C2×Dic34C2414yes—
672C2×Dic34C2414yes—
673C2×Dic34C2414yes—
674C4⋊C4×C17C2414yes—
675C4⋊C4×C17C2414yes—
676C4⋊C4×C17C2414yes—
677C4⋊C4×C17C2414yes—
678C4⋊C4×C17C2414yes—
679C4⋊C4×C17C2414yes—
680C4⋊C4×C17C2414yes—
681C4⋊C4×C17C2414yes—
682C4⋊C4×C17C2414yes—
683C4⋊C4×C17C2414yes—
684C22⋊C4×C17C2414yes—
685C22⋊C4×C17C2414yes—
686C22⋊C4×C17C2414yes—
687C22⋊C4×C17C2414yes—
688C22⋊C4×C17C2414yes—
689C22⋊C4×C17C2414yes—
690C22⋊C4×C17C2414yes—
691C22⋊C4×C17C2414yes—
692C22⋊C4×C17C2414yes—
693C22⋊C4×C17C2414yes—
694C42×C17C2414yes—
695C42×C17C2414yes—
696C22⋊Dic17C2414yes—
697C22⋊Dic17C2414yes—
698C22⋊Dic17C2414yes—
699C22⋊Dic17C2414yes—
700C22⋊Dic17C2414yes—
701C22⋊Dic17C2414yes—
702C22⋊Dic17C2414yes—
703C22⋊Dic17C2414yes—
704#63227C2414yes—
705#63227C2414yes—
706#63227C2414yes—
707#63227C2414yes—
708#63227C2414yes—
709#63227C2414yes—
710#63227C2414yes—
711#63227C2414yes—
712#63227C2414yes—
713#63227C2414yes—
714#63227C2414yes—
715#63227C2414yes—
716#63227C2414yes—
717#63227C2414yes—
718#63227C2414yes—
719#63227C2414yes—
720#63227C2414yes—
721#63227C2414yes—
722#63227C2414yes—
723#63227C2414yes—
724#63227C2414yes—
725#63227C2414yes—
726#63227C2414yes—
727#63227C2414yes—
728#63227C2414yes—
729#63227C2414yes—
730#63227C2414yes—
731#63227C2414yes—
732C4⋊Dic17C2414yes—
733C4⋊Dic17C2414yes—
734C4⋊Dic17C2414yes—
735C4⋊Dic17C2414yes—
736C4⋊Dic17C2414yes—
737C4⋊Dic17C2414yes—
738C4⋊Dic17C2414yes—
739C4⋊Dic17C2414yes—
740C4⋊Dic17C2414yes—
741C4⋊Dic17C2414yes—
742C4⋊Dic17C2414yes—
743C4⋊Dic17C2414yes—
744#63225C2414yes—
745#63225C2414yes—
746#63225C2414yes—
747#63225C2414yes—
748#63225C2414yes—
749#63225C2414yes—
750#63225C2414yes—
751#63225C2414yes—
752#63225C2414yes—
753#63225C2414yes—
754#63225C2414yes—
755#63225C2414yes—
756#63225C2414yes—
757#63225C2414yes—
758#63225C2414yes—
759#63225C2414yes—
760#63225C2414yes—
761#63225C2414yes—
762#63225C2414yes—
763#63225C2414yes—
764#63225C2414yes—
765#63225C2414yes—
766#63225C2414yes—
767#63225C2414yes—
768#63225C2414yes—
769#63225C2414yes—
770#63225C2414yes—
771#63225C2414yes—
772C4×Dic17C2414yes—
773C4×Dic17C2414yes—
774C4×Dic17C2414yes—
775C4×Dic17C2414yes—
776C4×Dic17C2414yes—
777C4×Dic17C2414yes—
778C4×Dic17C2414yes—
779C4×Dic17C2414yes—
780C2×#3535—171nomaximal, Sylow
781C23×C17—22no—
782C23×C17—22no—
783C23×C17—22no—
784C23×C17—22no—
785C23×C17—22no—
786C23×C17—22no—
787C23×C17—22no—
788C23×C17—22no—
789C23×C17H(5,𝔽2)14yes—
790C23×C17C2512yes—
791C23×C17C2512yes—
792C23×C17C2512yes—
793C23×C17C2511yescharacteristic
794C22×D17—22no—
795C22×D17—22no—
796C22×D17—22no—
797C22×D17—22no—
798C22×D17—28no—
799C22×D17—22no—
800C22×D17—22no—
801C22×D17—22no—
802C22×D17—22no—
803C22×D17—22no—
804C22×D17—22no—
805C22×D17—22no—
806C22×D17—28no—
807C22×D17—28no—
808C22×D17—44no—
809C22×D17—44no—
810C22×D17—44no—
811C22×D17—416no—
812C22×D17—88no—
813C22×D172−1+414yes—
814C22×D17C2512yes—
815C22×D17C2512yes—
816C22×D17C2512yes—
817C22×D17C2512yes—
818Q8×C17—44no—
819Q8×C17—44no—
820Q8×C17—44no—
821Q8×C17—44no—
822Q8×C17—44no—
823D4×C17—28no—
824D4×C17—28no—
825D4×C17—44no—
826C2×C4×C17—22no—
827C2×C4×C17—22no—
828C2×C4×C17—28no—
829C2×C4×C17—22no—
830C2×C4×C17—22no—
831C2×C4×C17—22no—
832C2×C4×C17—22no—
833C2×C4×C17—28no—
834C2×C4×C17—22no—
835C2×C4×C17—22no—
836C2×C4×C17—28no—
837C2×C4×C17—22no—
838C2×C4×C17—22no—
839C2×C4×C17—22no—
840C2×C4×C17—22no—
841C2×C4×C17—44no—
842C2×C4×C17—44no—
843C2×C4×C17C2512yes—
844C2×C4×C17C2512yes—
845C2×C4×C17C2512yes—
846C2×C4×C17C2512yes—
847C2×C4×C17C2512yes—
848C2×C4×C17C2512yes—
849C2×C4×C17C2512yes—
850C2×C4×C17C2512yes—
851C2×C4×C17C2512yes—
852C2×C4×C17C2512yes—
853C2×C4×C17C2512yes—
854C2×C4×C17C2512yes—
855C22⋊D17—28no—
856C22⋊D17—28no—
857C22⋊D17—28no—
858C22⋊D17—44no—
859C22⋊D17—44no—
860C22⋊D17—44no—
861C22⋊D17—44no—
862C22⋊D17—44no—
863C2×Dic17—22no—
864C2×Dic17—22no—
865C2×Dic17—22no—
866C2×Dic17—22no—
867C2×Dic17—28no—
868C2×Dic17—22no—
869C2×Dic17—22no—
870C2×Dic17—22no—
871C2×Dic17—22no—
872C2×Dic17—22no—
873C2×Dic17—22no—
874C2×Dic17—22no—
875C2×Dic17—22no—
876C2×Dic17—44no—
877C2×Dic17—44no—
878C2×Dic17—44no—
879C2×Dic17—44no—
880C2×Dic17—44no—
881C2×Dic17C2512yes—
882C2×Dic17C2512yes—
883C2×Dic17C2512yes—
884C2×Dic17C2512yes—
885C2×Dic17C2512yes—
886C2×Dic17C2512yes—
887C2×Dic17C2512yes—
888C2×Dic17C2512yes—
889C2×Dic17C2512yes—
890C2×Dic17C2512yes—
891C2×Dic17C2512yes—
892C2×Dic17C2512yes—
893D68—28no—
894D68—44no—
895D68—44no—
896D68—44no—
897C4×D17—28no—
898C4×D17—44no—
899C4×D17—44no—
900C4×D17—44no—
901C4×D17—44no—
902C4×D17—44no—
903C4×D17—44no—
904C4×D17—44no—
905C4×D17—44no—
906C4×D17—44no—
907C4×D17—44no—
908C4×D17—44no—
909Dic34—44no—
910Dic34—44no—
911Dic34—44no—
912Dic34—44no—
913#3535—1732no—
914C2×#563—171no—
915C2×#563—171no—
916C2×#562—171no—
917C2×#562—171no—
918C2×#554—171no—
919C2×#554—171no—
920C2×#552—171no—
921C2×#552—171no—
922C2×#551—171no—
923C2×#551—171no—
924C2×#551—171no—
925C2×#551—171no—
926C2×#547—171no—
927C2×#547—171no—
928C2×#546—171no—
929C2×#546—171no—
930C2×#544—171no—
931C2×#543—171no—
932C2×#542—171no—
933C2×#542—171no—
934C2×#539—171no—
935C2×#539—171no—
936C2×#539—171no—
937C2×#539—171no—
938C2×#539—171no—
939C2×#538—171no—
940C2×#536—171no—
941C2×#536D1711yescharacteristic, complemented
942C2×#525—171no—
943C22×#123—171no—
944C22×C22⋊Q8—171no—
945C22×C17—22no—
946C22×C17—22no—
947C22×C17—28no—
948C22×C17—22no—
949C22×C17—22no—
950C22×C17—22no—
951C22×C17—22no—
952C22×C17—22no—
953C22×C17—22no—
954C22×C17—44no—
955C22×C17—44no—
956C22×C17C2×H(5,𝔽2)14yes—
957C22×C17C2×H(5,𝔽2)12yes—
958C22×C17C2×2−1+412yes—
959C22×C17#58512yes—
960C22×C17C2611yescharacteristic
961C2×D17—22no—
962C2×D17—22no—
963C2×D17—28no—
964C2×D17—22no—
965C2×D17—22no—
966C2×D17—22no—
967C2×D17—22no—
968C2×D17—22no—
969C2×D17—22no—
970C2×D17—22no—
971C2×D17—22no—
972C2×D17—22no—
973C2×D17—416no—
974C2×D17—44no—
975C2×D17—44no—
976C2×D17—44no—
977C2×D17—88no—
978C2×D17C2×2−1+414yes—
979C4×C17—22no—
980C4×C17—22no—
981C4×C17—22no—
982C4×C17—22no—
983C4×C17—22no—
984C4×C17—22no—
985C4×C17—22no—
986C4×C17—22no—
987C4×C17—22no—
988C4×C17—22no—
989C4×C17—22no—
990C4×C17—22no—
991Dic17—22no—
992Dic17—22no—
993Dic17—22no—
994Dic17—22no—
995Dic17—22no—
996Dic17—22no—
997Dic17—22no—
998Dic17—22no—
999Dic17—22no—
1000Dic17—22no—
1001Dic17—22no—
1002Dic17—22no—
1003C22×#41—171no—
1004C22×#41—171no—
1005C22×#41C2×D1711yescharacteristic
1006C23×Q8C2×D1711yescharacteristic, complemented
1007C23×D4—171no—
1008C24×C4—171no—
1009#563—1716no—
1010#563—1716no—
1011#562—1716no—
1012#562—1716no—
1013#554—1716no—
1014#554—1716no—
1015#552—1716no—
1016#552—1716no—
1017#551—1716no—
1018#551—1716no—
1019#551—1716no—
1020#551—1716no—
1021#547—1716no—
1022#547—1716no—
1023#546—1716no—
1024#546—1716no—
1025#544—1716no—
1026#543—1716no—
1027#542—1716no—
1028#542—1716no—
1029#539—1716no—
1030#539—1716no—
1031#539—1716no—
1032#539—1716no—
1033#539—1716no—
1034#538—1716no—
1035#536—1716no—
1036#536C2×D17116yescomplemented
1037C2×C4⋊Q8—171no—
1038C2×C4⋊Q8—171no—
1039C2×C4⋊Q8—171no—
1040C2×C4⋊Q8—171no—
1041C2×C4⋊Q8C2×D1711yescharacteristic, complemented
1042C2×C4⋊Q8C2×D1711yescharacteristic, complemented
1043C2×#126—171no—
1044C2×#126—171no—
1045C2×#126—171no—
1046C2×#126—171no—
1047C2×#126—171no—
1048C2×#126—171no—
1049C2×#126—171no—
1050C2×#126—171no—
1051C2×#126—171no—
1052C2×#126—171no—
1053C2×#126—171no—
1054C2×#126—171no—
1055C2×#125—171no—
1056C2×#125—171no—
1057C2×#125—171no—
1058C2×#125—171no—
1059C2×#125—171no—
1060C2×#125—171no—
1061C2×#125—171no—
1062C2×#125—171no—
1063C2×#125—171no—
1064C2×#125—171no—
1065C2×#124—171no—
1066C2×#124—171no—
1067C2×#124—171no—
1068C2×#124—171no—
1069C2×#124—171no—
1070C2×#124—171no—
1071C2×#124C2×D1711yescharacteristic, complemented
1072C2×#124C2×D1711yescharacteristic, complemented
1073#525—1716no—
1074C2×#123—171no—
1075C2×#123—171no—
1076C2×#123—171no—
1077C2×#123—171no—
1078C2×#123—171no—
1079C2×#123—171no—
1080C2×#123—171no—
1081C2×#123—171no—
1082C2×#123—1716no—
1083C2×#123—171no—
1084C2×#123—171no—
1085C2×#123—171no—
1086C2×#123—171no—
1087C2×#123—171no—
1088C2×#123—171no—
1089C2×#123—171no—
1090C2×#123—171no—
1091C2×#123—171no—
1092C2×#123—171no—
1093C2×#123—171no—
1094C2×#123—171no—
1095C2×#123—171no—
1096C2×#123—171no—
1097C2×#123—171no—
1098C2×#123—171no—
1099C2×#123C2×D1711yescharacteristic
1100C2×#123C2×D1711yescharacteristic
1101C2×#123C2×D1711yescharacteristic, complemented
1102C2×#123C2×D1711yescharacteristic, complemented
1103C2×C22⋊Q8—171no—
1104C2×C22⋊Q8—171no—
1105C2×C22⋊Q8—171no—
1106C2×C22⋊Q8—171no—
1107C2×C22⋊Q8—171no—
1108C2×C22⋊Q8—171no—
1109C2×C22⋊Q8—171no—
1110C2×C22⋊Q8—171no—
1111C2×C22⋊Q8—171no—
1112C2×C22⋊Q8—171no—
1113C2×C22⋊Q8—171no—
1114C2×C22⋊Q8—171no—
1115C2×C22⋊Q8—171no—
1116C2×C22⋊Q8—171no—
1117C2×C22⋊Q8—1716no—
1118C2×C22⋊Q8—171no—
1119C2×C22⋊Q8—171no—
1120C2×C22⋊Q8—171no—
1121C2×C22⋊Q8—171no—
1122C2×C22⋊Q8—171no—
1123C2×C22⋊Q8—171no—
1124C2×C22⋊Q8—171no—
1125C2×C22⋊Q8—171no—
1126C2×C22⋊Q8—171no—
1127C2×C22⋊Q8—171no—
1128C2×C22⋊Q8—171no—
1129C2×C22⋊Q8—171no—
1130C2×C22⋊Q8—171no—
1131C2×C22⋊Q8—171no—
1132C2×C22⋊Q8—171no—
1133C2×C22⋊Q8—171no—
1134C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1135C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1136C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1137C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1138C2×#121—171no—
1139C2×#121—171no—
1140C2×#121—171no—
1141C2×#121—171no—
1142C2×#121—171no—
1143C2×#121—171no—
1144C2×#121—171no—
1145C2×#121—171no—
1146C2×#121—171no—
1147C2×#121—171no—
1148C2×#120—171no—
1149C2×#120—171no—
1150C2×#120—171no—
1151C2×#120—171no—
1152C2×C4×Q8—171no—
1153C2×C4×Q8—171no—
1154C2×C4×D4—171no—
1155C2×C4×D4—171no—
1156C2×C4×D4—171no—
1157C2×C4×D4—171no—
1158C2×C4×D4—171no—
1159C2×C4×D4—171no—
1160C2×C4×D4—171no—
1161C2×C4×D4—171no—
1162C2×C4×D4—171no—
1163C2×C4×D4—171no—
1164C2×C4×D4—171no—
1165C2×C4×D4—171no—
1166C2×C4×D4—171no—
1167C2×C4×D4—171no—
1168C2×#117—171no—
1169C2×#117—171no—
1170C2×#117—171no—
1171C2×#117—171no—
1172C2×#117—171no—
1173C2×#117—171no—
1174C2×#117C2×D1711yescharacteristic, complemented
1175C22×C4⋊C4—171no—
1176C22×C4⋊C4—171no—
1177C22×C4⋊C4—171no—
1178C22×C4⋊C4—171no—
1179C22×C4⋊C4—171no—
1180C22×C4⋊C4—171no—
1181C22×C4⋊C4—171no—
1182C22×C22⋊C4—171no—
1183C22×C22⋊C4—171no—
1184C22×C22⋊C4—171no—
1185C22×C22⋊C4—171no—
1186C22×C22⋊C4—171no—
1187C22×C22⋊C4—171no—
1188C22×C22⋊C4—171no—
1189C2×C17—24no—
1190C2×C17—42no—
1191C2×C17—42no—
1192C2×C17#353514yescomplemented
1193C2×C17C22×H(5,𝔽2)11yescharacteristic
1194C2×C17C22×2−1+411yescharacteristic
1195C2×C17C2×#58511yescharacteristic
1196D17—24no—
1197D17—42no—
1198D17—42no—
1199D17—42no—
1200C25—171no—
1201C25—171no—
1202C2×#41—44no—
1203C2×#41—178no—
1204C2×#41—178no—
1205C2×#41—684no—
1206C2×#41—684no—
1207C2×#41C22×D1718yes—
1208C22×Q8—44no—
1209C22×Q8—171no—
1210C22×Q8—171no—
1211C22×Q8—171no—
1212C22×Q8—171no—
1213C22×Q8C22×D1711yescharacteristic
1214C22×Q8C22×D1711yescharacteristic
1215C22×Q8C22×D1711yescharacteristic
1216C22×Q8C22×D1711yescharacteristic
1217C22×Q8C22×D1711yescharacteristic
1218C22×Q8C22×D1718yescomplemented
1219C22×D4—171no—
1220C22×D4—171no—
1221C22×D4—171no—
1222C22×D4—171no—
1223C22×D4—171no—
1224C22×D4—171no—
1225C22×D4—171no—
1226C22×D4—171no—
1227C22×D4—178no—
1228C22×D4—171no—
1229C22×D4—171no—
1230C22×D4—171no—
1231C22×D4—171no—
1232C22×D4—684no—
1233C22×D4C22×D1711yescharacteristic
1234C22×D4C22×D1711yescharacteristic
1235C22×D4C22×D1711yescharacteristic
1236C23×C4—171no—
1237C23×C4—171no—
1238C23×C4—171no—
1239C23×C4—171no—
1240C23×C4—171no—
1241C23×C4—171no—
1242C23×C4—171no—
1243C23×C4—171no—
1244C23×C4—171no—
1245C23×C4—171no—
1246C23×C4—171no—
1247C23×C4—171no—
1248C23×C4—171no—
1249C23×C4—171no—
1250C23×C4—171no—
1251C23×C4—171no—
1252C23×C4—171no—
1253C23×C4—171no—
1254C23×C4—178no—
1255C23×C4—684no—
1256C23×C4C22×D1711yescharacteristic
1257C23×C4C22×D1711yescharacteristic
1258C23×C4C22×D1711yescharacteristic
1259C23×C4C22×D1711yescharacteristic
1260C23×C4C22×D1711yescharacteristic
1261C4⋊Q8—178no—
1262C4⋊Q8—178no—
1263C4⋊Q8—178no—
1264C4⋊Q8—178no—
1265C4⋊Q8C22×D1718yescomplemented
1266C4⋊Q8C22×D1718yescomplemented
1267#126—178no—
1268#126—178no—
1269#126—178no—
1270#126—178no—
1271#126—178no—
1272#126—178no—
1273#126—178no—
1274#126—178no—
1275#126—178no—
1276#126—178no—
1277#126—178no—
1278#126—178no—
1279#125—178no—
1280#125—178no—
1281#125—178no—
1282#125—178no—
1283#125—178no—
1284#125—178no—
1285#125—178no—
1286#125—178no—
1287#125—178no—
1288#125—178no—
1289#124—178no—
1290#124—178no—
1291#124—178no—
1292#124—178no—
1293#124—178no—
1294#124—178no—
1295#124C22×D1718yescomplemented
1296#124C22×D1718yescomplemented
1297#123—178no—
1298#123—178no—
1299#123—178no—
1300#123—178no—
1301#123—178no—
1302#123—178no—
1303#123—178no—
1304#123—178no—
1305#123—178no—
1306#123—178no—
1307#123—178no—
1308#123—178no—
1309#123—178no—
1310#123—178no—
1311#123—178no—
1312#123—178no—
1313#123—178no—
1314#123—178no—
1315#123—178no—
1316#123—178no—
1317#123—178no—
1318#123—178no—
1319#123—178no—
1320#123—178no—
1321#123C22×D1718yes—
1322#123C22×D1718yes—
1323#123C22×D1718yescomplemented
1324#123C22×D1718yescomplemented
1325C22⋊Q8—178no—
1326C22⋊Q8—178no—
1327C22⋊Q8—178no—
1328C22⋊Q8—178no—
1329C22⋊Q8—178no—
1330C22⋊Q8—178no—
1331C22⋊Q8—178no—
1332C22⋊Q8—178no—
1333C22⋊Q8—178no—
1334C22⋊Q8—178no—
1335C22⋊Q8—178no—
1336C22⋊Q8—178no—
1337C22⋊Q8—178no—
1338C22⋊Q8—178no—
1339C22⋊Q8—178no—
1340C22⋊Q8—178no—
1341C22⋊Q8—178no—
1342C22⋊Q8—178no—
1343C22⋊Q8—178no—
1344C22⋊Q8—178no—
1345C22⋊Q8—178no—
1346C22⋊Q8—178no—
1347C22⋊Q8—178no—
1348C22⋊Q8—178no—
1349C22⋊Q8—178no—
1350C22⋊Q8—178no—
1351C22⋊Q8—178no—
1352C22⋊Q8—178no—
1353C22⋊Q8—178no—
1354C22⋊Q8—178no—
1355C22⋊Q8C22×D1718yescomplemented
1356C22⋊Q8C22×D1718yescomplemented
1357C22⋊Q8C22×D1718yescomplemented
1358C22⋊Q8C22×D1718yescomplemented
1359#121—178no—
1360#121—178no—
1361#121—178no—
1362#121—178no—
1363#121—178no—
1364#121—178no—
1365#121—178no—
1366#121—178no—
1367#121—178no—
1368#121—178no—
1369#120—178no—
1370#120—178no—
1371#120—178no—
1372#120—178no—
1373C4×Q8—178no—
1374C4×Q8—178no—
1375C4×D4—178no—
1376C4×D4—178no—
1377C4×D4—178no—
1378C4×D4—178no—
1379C4×D4—178no—
1380C4×D4—178no—
1381C4×D4—178no—
1382C4×D4—178no—
1383C4×D4—178no—
1384C4×D4—178no—
1385C4×D4—178no—
1386C4×D4—178no—
1387C4×D4—178no—
1388C4×D4—178no—
1389#117—178no—
1390#117—178no—
1391#117—178no—
1392#117—178no—
1393#117—178no—
1394#117—178no—
1395#117C22×D1718yescomplemented
1396C2×C4⋊C4—171no—
1397C2×C4⋊C4—171no—
1398C2×C4⋊C4—171no—
1399C2×C4⋊C4—171no—
1400C2×C4⋊C4—171no—
1401C2×C4⋊C4—171no—
1402C2×C4⋊C4—171no—
1403C2×C4⋊C4—171no—
1404C2×C4⋊C4—171no—
1405C2×C4⋊C4—171no—
1406C2×C4⋊C4—171no—
1407C2×C4⋊C4—171no—
1408C2×C4⋊C4—171no—
1409C2×C4⋊C4—171no—
1410C2×C4⋊C4—171no—
1411C2×C4⋊C4—171no—
1412C2×C4⋊C4—171no—
1413C2×C4⋊C4—171no—
1414C2×C4⋊C4—178no—
1415C2×C4⋊C4—178no—
1416C2×C4⋊C4—178no—
1417C2×C4⋊C4—171no—
1418C2×C4⋊C4—171no—
1419C2×C4⋊C4—171no—
1420C2×C4⋊C4—178no—
1421C2×C4⋊C4—171no—
1422C2×C4⋊C4—171no—
1423C2×C4⋊C4—171no—
1424C2×C4⋊C4—171no—
1425C2×C4⋊C4—171no—
1426C2×C4⋊C4—171no—
1427C2×C4⋊C4—171no—
1428C2×C4⋊C4—171no—
1429C2×C4⋊C4—171no—
1430C2×C4⋊C4—171no—
1431C2×C4⋊C4—171no—
1432C2×C4⋊C4—171no—
1433C2×C4⋊C4—171no—
1434C2×C4⋊C4—171no—
1435C2×C4⋊C4—171no—
1436C2×C4⋊C4—171no—
1437C2×C4⋊C4—171no—
1438C2×C4⋊C4—171no—
1439C2×C4⋊C4—171no—
1440C2×C4⋊C4—178no—
1441C2×C4⋊C4—178no—
1442C2×C4⋊C4—178no—
1443C2×C4⋊C4C22×D1711yescharacteristic
1444C2×C4⋊C4C22×D1711yescharacteristic
1445C2×C4⋊C4C22×D1711yescharacteristic
1446C2×C4⋊C4C22×D1711yescharacteristic
1447C2×C4⋊C4C22×D1711yescharacteristic
1448C2×C4⋊C4C22×D1711yescharacteristic
1449C2×C4⋊C4C22×D1711yescharacteristic
1450C2×C4⋊C4C22×D1711yescharacteristic
1451C2×C4⋊C4C22×D1711yescharacteristic
1452C2×C4⋊C4C22×D1711yescharacteristic
1453C2×C22⋊C4—171no—
1454C2×C22⋊C4—171no—
1455C2×C22⋊C4—171no—
1456C2×C22⋊C4—171no—
1457C2×C22⋊C4—171no—
1458C2×C22⋊C4—171no—
1459C2×C22⋊C4—171no—
1460C2×C22⋊C4—171no—
1461C2×C22⋊C4—171no—
1462C2×C22⋊C4—171no—
1463C2×C22⋊C4—171no—
1464C2×C22⋊C4—171no—
1465C2×C22⋊C4—171no—
1466C2×C22⋊C4—171no—
1467C2×C22⋊C4—171no—
1468C2×C22⋊C4—171no—
1469C2×C22⋊C4—171no—
1470C2×C22⋊C4—171no—
1471C2×C22⋊C4—171no—
1472C2×C22⋊C4—171no—
1473C2×C22⋊C4—171no—
1474C2×C22⋊C4—171no—
1475C2×C22⋊C4—171no—
1476C2×C22⋊C4—178no—
1477C2×C22⋊C4—178no—
1478C2×C22⋊C4—171no—
1479C2×C22⋊C4—171no—
1480C2×C22⋊C4—171no—
1481C2×C22⋊C4—178no—
1482C2×C22⋊C4—171no—
1483C2×C22⋊C4—171no—
1484C2×C22⋊C4—171no—
1485C2×C22⋊C4—171no—
1486C2×C22⋊C4—171no—
1487C2×C22⋊C4—171no—
1488C2×C22⋊C4—171no—
1489C2×C22⋊C4—171no—
1490C2×C22⋊C4—171no—
1491C2×C22⋊C4—171no—
1492C2×C22⋊C4—178no—
1493C2×C22⋊C4—178no—
1494C2×C22⋊C4—178no—
1495C2×C22⋊C4—178no—
1496C2×C22⋊C4C22×D1711yescharacteristic
1497C2×C22⋊C4C22×D1711yescharacteristic
1498C2×C22⋊C4C22×D1711yescharacteristic
1499C2×C22⋊C4C22×D1711yescharacteristic
1500C2×C22⋊C4C22×D1711yescharacteristic
1501C2×C22⋊C4C22×D1711yescharacteristic
1502C2×C22⋊C4C22×D1711yescharacteristic
1503C2×C22⋊C4C22×D1711yescharacteristic
1504C2×C22⋊C4C22×D1711yescharacteristic
1505C2×C22⋊C4C22×D1711yescharacteristic
1506C2×C42—171no—
1507C2×C42—171no—
1508C2×C42—171no—
1509C2×C42—171no—
1510C2×C42—171no—
1511C2×C42—171no—
1512C2×C42—171no—
1513C2×C42—171no—
1514C2×C42C22×D1711yescharacteristic
1515C2×C42C22×D1711yescharacteristic
1516C17C2×#353511yescharacteristic, complemented, Sylow
1517C24—171no—
1518C24—171no—
1519C24—171no—
1520C24—171no—
1521C24—174no—
1522C24—174no—
1523C24—344no—
1524C24—344no—
1525C24—344no—
1526C24—682no—
1527C24—682no—
1528C24—682no—
1529C24C23×D1711yescharacteristic
1530C24C23×D1711yescharacteristic
1531C24C23×D1711yescharacteristic
1532#41—416no—
1533#41—6816no—
1534#41—6816no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—42no—
1539C2×Q8—416no—
1540C2×Q8—42no—
1541C2×Q8—174no—
1542C2×Q8—174no—
1543C2×Q8—174no—
1544C2×Q8—174no—
1545C2×Q8—682no—
1546C2×Q8—682no—
1547C2×Q8—682no—
1548C2×Q8—682no—
1549C2×Q8C23×D1714yes—
1550C2×Q8C23×D1714yes—
1551C2×Q8C23×D1714yes—
1552C2×Q8C23×D1714yes—
1553C2×Q8C23×D1714yes—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—42no—
1557C2×D4—174no—
1558C2×D4—174no—
1559C2×D4—174no—
1560C2×D4—174no—
1561C2×D4—174no—
1562C2×D4—174no—
1563C2×D4—174no—
1564C2×D4—174no—
1565C2×D4—174no—
1566C2×D4—174no—
1567C2×D4—174no—
1568C2×D4—174no—
1569C2×D4—344no—
1570C2×D4—344no—
1571C2×D4—344no—
1572C2×D4—344no—
1573C2×D4—682no—
1574C2×D4—682no—
1575C2×D4—682no—
1576C2×D4—682no—
1577C2×D4—682no—
1578C2×D4—682no—
1579C2×D4—682no—
1580C2×D4—682no—
1581C2×D4—6816no—
1582C2×D4C23×D1714yes—
1583C2×D4C23×D1714yes—
1584C2×D4C23×D1714yes—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—24no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—174no—
1591C22×C4—171no—
1592C22×C4—171no—
1593C22×C4—171no—
1594C22×C4—171no—
1595C22×C4—171no—
1596C22×C4—171no—
1597C22×C4—171no—
1598C22×C4—171no—
1599C22×C4—171no—
1600C22×C4—171no—
1601C22×C4—171no—
1602C22×C4—171no—
1603C22×C4—174no—
1604C22×C4—174no—
1605C22×C4—174no—
1606C22×C4—174no—
1607C22×C4—174no—
1608C22×C4—174no—
1609C22×C4—174no—
1610C22×C4—174no—
1611C22×C4—174no—
1612C22×C4—174no—
1613C22×C4—174no—
1614C22×C4—174no—
1615C22×C4—174no—
1616C22×C4—174no—
1617C22×C4—174no—
1618C22×C4—174no—
1619C22×C4—174no—
1620C22×C4—344no—
1621C22×C4—344no—
1622C22×C4—682no—
1623C22×C4—682no—
1624C22×C4—682no—
1625C22×C4—682no—
1626C22×C4—682no—
1627C22×C4—682no—
1628C22×C4—682no—
1629C22×C4—6816no—
1630C22×C4—682no—
1631C22×C4—682no—
1632C22×C4—682no—
1633C22×C4—682no—
1634C22×C4—682no—
1635C22×C4—682no—
1636C22×C4—682no—
1637C22×C4—682no—
1638C22×C4—682no—
1639C22×C4C23×D1714yes—
1640C22×C4C23×D1714yes—
1641C22×C4C23×D1714yes—
1642C22×C4C23×D1711yescharacteristic
1643C22×C4C23×D1711yescharacteristic
1644C22×C4C23×D1711yescharacteristic
1645C22×C4C23×D1711yescharacteristic
1646C22×C4C23×D1711yescharacteristic
1647C22×C4C23×D1711yescharacteristic
1648C22×C4C23×D1711yescharacteristic
1649C22×C4C23×D1711yescharacteristic
1650C22×C4C23×D1711yescharacteristic
1651C22×C4C23×D1711yescharacteristic
1652C22×C4C23×D1711yescharacteristic
1653C22×C4C23×D1711yescharacteristic
1654C22×C4C23×D1714yes—
1655C22×C4C23×D1714yes—
1656C4⋊C4—174no—
1657C4⋊C4—174no—
1658C4⋊C4—174no—
1659C4⋊C4—174no—
1660C4⋊C4—174no—
1661C4⋊C4—174no—
1662C4⋊C4—174no—
1663C4⋊C4—174no—
1664C4⋊C4—174no—
1665C4⋊C4—174no—
1666C4⋊C4—174no—
1667C4⋊C4—174no—
1668C4⋊C4—174no—
1669C4⋊C4—174no—
1670C4⋊C4—174no—
1671C4⋊C4—174no—
1672C4⋊C4—174no—
1673C4⋊C4—174no—
1674C4⋊C4—174no—
1675C4⋊C4—174no—
1676C4⋊C4—174no—
1677C4⋊C4—174no—
1678C4⋊C4—174no—
1679C4⋊C4—174no—
1680C4⋊C4—174no—
1681C4⋊C4—174no—
1682C4⋊C4—174no—
1683C4⋊C4—174no—
1684C4⋊C4—174no—
1685C4⋊C4—174no—
1686C4⋊C4—174no—
1687C4⋊C4—174no—
1688C4⋊C4—174no—
1689C4⋊C4—174no—
1690C4⋊C4—174no—
1691C4⋊C4—174no—
1692C4⋊C4—174no—
1693C4⋊C4—174no—
1694C4⋊C4—174no—
1695C4⋊C4—174no—
1696C4⋊C4C23×D1714yes—
1697C4⋊C4C23×D1714yes—
1698C4⋊C4C23×D1714yes—
1699C4⋊C4C23×D1714yes—
1700C4⋊C4C23×D1714yes—
1701C4⋊C4C23×D1714yes—
1702C4⋊C4C23×D1714yes—
1703C4⋊C4C23×D1714yes—
1704C4⋊C4C23×D1714yes—
1705C4⋊C4C23×D1714yes—
1706C22⋊C4—174no—
1707C22⋊C4—174no—
1708C22⋊C4—174no—
1709C22⋊C4—174no—
1710C22⋊C4—174no—
1711C22⋊C4—174no—
1712C22⋊C4—174no—
1713C22⋊C4—174no—
1714C22⋊C4—174no—
1715C22⋊C4—174no—
1716C22⋊C4—174no—
1717C22⋊C4—174no—
1718C22⋊C4—174no—
1719C22⋊C4—174no—
1720C22⋊C4—174no—
1721C22⋊C4—174no—
1722C22⋊C4—174no—
1723C22⋊C4—174no—
1724C22⋊C4—174no—
1725C22⋊C4—174no—
1726C22⋊C4—174no—
1727C22⋊C4—174no—
1728C22⋊C4—174no—
1729C22⋊C4—174no—
1730C22⋊C4—174no—
1731C22⋊C4—174no—
1732C22⋊C4—174no—
1733C22⋊C4—174no—
1734C22⋊C4—174no—
1735C22⋊C4—174no—
1736C22⋊C4—174no—
1737C22⋊C4—174no—
1738C22⋊C4—174no—
1739C22⋊C4—174no—
1740C22⋊C4—174no—
1741C22⋊C4—174no—
1742C22⋊C4C23×D1714yes—
1743C22⋊C4C23×D1714yes—
1744C22⋊C4C23×D1714yes—
1745C22⋊C4C23×D1714yes—
1746C22⋊C4C23×D1714yes—
1747C22⋊C4C23×D1714yes—
1748C22⋊C4C23×D1714yes—
1749C22⋊C4C23×D1714yes—
1750C22⋊C4C23×D1714yes—
1751C22⋊C4C23×D1714yes—
1752C42—174no—
1753C42—174no—
1754C42—174no—
1755C42—174no—
1756C42—174no—
1757C42—174no—
1758C42—174no—
1759C42—174no—
1760C42C23×D1714yes—
1761C42C23×D1714yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—174no—
1771C23—172no—
1772C23—172no—
1773C23—172no—
1774C23—172no—
1775C23—348no—
1776C23—348no—
1777C23—342no—
1778C23—342no—
1779C23—342no—
1780C23—348no—
1781C23—342no—
1782C23—342no—
1783C23—342no—
1784C23—342no—
1785C23—342no—
1786C23—342no—
1787C23—342no—
1788C23—342no—
1789C23—684no—
1790C23—684no—
1791C23—684no—
1792C23—6816no—
1793C23—1368no—
1794C23#1058769114yes—
1795C23C24×D1712yes—
1796C23C24×D1712yes—
1797C23C24×D1712yes—
1798C23C24×D1711yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—44no—
1802Q8—44no—
1803Q8—44no—
1804Q8—684no—
1805Q8—684no—
1806Q8—684no—
1807Q8—684no—
1808D4—28no—
1809D4—28no—
1810D4—44no—
1811D4—348no—
1812D4—348no—
1813D4—348no—
1814D4—348no—
1815D4—684no—
1816D4—684no—
1817D4—684no—
1818D4—684no—
1819D4—684no—
1820D4—684no—
1821D4—684no—
1822D4—684no—
1823C2×C4—22no—
1824C2×C4—28no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—28no—
1831C2×C4—28no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—172no—
1841C2×C4—172no—
1842C2×C4—172no—
1843C2×C4—172no—
1844C2×C4—172no—
1845C2×C4—172no—
1846C2×C4—172no—
1847C2×C4—172no—
1848C2×C4—172no—
1849C2×C4—172no—
1850C2×C4—172no—
1851C2×C4—172no—
1852C2×C4—348no—
1853C2×C4—342no—
1854C2×C4—342no—
1855C2×C4—348no—
1856C2×C4—342no—
1857C2×C4—342no—
1858C2×C4—342no—
1859C2×C4—342no—
1860C2×C4—342no—
1861C2×C4—342no—
1862C2×C4—342no—
1863C2×C4—342no—
1864C2×C4—342no—
1865C2×C4—342no—
1866C2×C4—684no—
1867C2×C4—684no—
1868C2×C4—684no—
1869C2×C4—684no—
1870C2×C4—684no—
1871C2×C4—684no—
1872C2×C4—684no—
1873C2×C4—684no—
1874C2×C4—684no—
1875C2×C4—684no—
1876C2×C4—684no—
1877C2×C4—684no—
1878C2×C4—684no—
1879C2×C4—684no—
1880C2×C4—684no—
1881C2×C4—684no—
1882C2×C4C24×D1712yes—
1883C2×C4C24×D1712yes—
1884C2×C4C24×D1712yes—
1885C2×C4C24×D1712yes—
1886C2×C4C24×D1712yes—
1887C2×C4C24×D1712yes—
1888C2×C4C24×D1712yes—
1889C2×C4C24×D1712yes—
1890C2×C4C24×D1712yes—
1891C2×C4C24×D1712yes—
1892C2×C4C24×D1712yes—
1893C2×C4C24×D1712yes—
1894C22—28no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—44no—
1904C22—44no—
1905C22—174no—
1906C22—348no—
1907C22—342no—
1908C22—342no—
1909C22—342no—
1910C22—342no—
1911C22—342no—
1912C22—342no—
1913C22—342no—
1914C22—342no—
1915C22—342no—
1916C22—342no—
1917C22—342no—
1918C22—6816no—
1919C22—684no—
1920C22—684no—
1921C22—684no—
1922C22—1368no—
1923C22C2×#1058769114yes—
1924C22C2×#1058769112yes—
1925C222−1+4×D1712yes—
1926C22#1176364612yes—
1927C22C25×D1711yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—342no—
1941C4—342no—
1942C4—342no—
1943C4—342no—
1944C4—342no—
1945C4—342no—
1946C4—342no—
1947C4—342no—
1948C4—342no—
1949C4—342no—
1950C4—342no—
1951C4—342no—
1952C2—24no—
1953C2—42no—
1954C2—42no—
1955C2—344no—
1956C2—682no—
1957C2—682no—
1958C2—682no—
1959C2#1454298314yesdirect product factor
1960C2C22×#1058769111yescharacteristic
1961C2C2×2−1+4×D1711yescharacteristic
1962C2C2×#1176364611yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#536C2
socleC23×C17C25
hypercenterC2×#536D17
hypocenterC17C2×#3535
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#536

Complements

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

NH ≅ G/Ntype
1. #14542983C2direct (N × H)
2. C2×#11763560C2semidirect
3. C2×#11763558C2semidirect
4. C2×#11763555C2semidirect
5. C2×#11763553C2semidirect
6. C2×#11763520C2semidirect
7. C2×#11763513C2semidirect
8. C2×#11763496C2semidirect
9. C2×#11763492C2semidirect
10. C2×#11763489C2semidirect
11. C2×#11763486C2semidirect
12. C2×#11763483C2semidirect
13. C2×#11763482C2semidirect
14. C2×#11763458C2semidirect
15. C2×#11763457C2semidirect
16. C2×#11763451C2semidirect
17. C2×#11763447C2semidirect
18. C2×#11763436C2semidirect
19. C2×#11763434C2semidirect
20. C2×#11763433C2semidirect
21. C2×#11763423C2semidirect
22. C2×#11763408C2semidirect
23. C2×#11763405C2semidirect
24. C2×#11763405C2semidirect
25. C2×#11763403C2semidirect
26. C2×#11763403C2semidirect
27. C2×#11763393C2semidirect
28. C2×#11763383C2semidirect
29. C2×#11763317C2semidirect
30. C2×#123×D17C2semidirect
31. C22×#10587632C2semidirect
32. C2×C17×#536C2semidirect
34. C22×#63254C22semidirect
37. #11763560C22semidirect
38. #11763558C22semidirect
39. #11763555C22semidirect
40. #11763553C22semidirect
41. #11763520C22semidirect
42. #11763513C22semidirect
43. #11763496C22semidirect
44. #11763492C22semidirect
45. #11763489C22semidirect
46. #11763486C22semidirect
47. #11763483C22semidirect
48. #11763482C22semidirect
49. #11763458C22semidirect
50. #11763457C22semidirect
51. #11763451C22semidirect
52. #11763447C22semidirect
53. #11763436C22semidirect
54. #11763434C22semidirect
55. #11763433C22semidirect
56. #11763423C22semidirect
57. #11763408C22semidirect
58. #11763405C22semidirect
59. #11763405C22semidirect
60. #11763403C22semidirect
61. #11763403C22semidirect
62. #11763393C22semidirect
63. #11763383C22semidirect
64. C2×#10587574C22semidirect
65. C2×#10587630C22semidirect
66. C2×#10587630C22semidirect
67. C2×#10587630C22semidirect
68. C2×#10587584C22semidirect
69. C2×#10587584C22semidirect
70. C2×#10587584C22semidirect
71. C2×#10587584C22semidirect
72. C2×#10587584C22semidirect
73. C2×#10587584C22semidirect
74. C2×#10587562C22semidirect
75. C2×#10587562C22semidirect
76. C2×#10587565C22semidirect
77. C2×#10587565C22semidirect
78. C2×#10587565C22semidirect
79. C2×#10587565C22semidirect
80. C2×#10587556C22semidirect
81. C2×#10587576C22semidirect
82. C2×#10587576C22semidirect
83. C2×#10587576C22semidirect
84. C2×#10587575C22semidirect
85. C2×#10587575C22semidirect
86. C2×#10587575C22semidirect
87. C2×#10587575C22semidirect
88. C2×#10587575C22semidirect
89. C2×#10587575C22semidirect
91. C2×#10587633C22semidirect
92. C2×#10587633C22semidirect
93. C2×#10587561C22semidirect
95. C2×#10587571C22semidirect
96. #11763317C22semidirect
101. C2×#10587580C22semidirect
102. C2×#10587580C22semidirect
104. C2×#10587572C22semidirect
105. C2×#10587572C22semidirect
106. C2×#10587572C22semidirect
110. C2×#10587615C22semidirect
111. C2×#10587615C22semidirect
112. C2×#10587615C22semidirect
116. C2×#10587569C22semidirect
117. C2×#10587569C22semidirect
118. C2×#10587569C22semidirect
120. C2×#10587621C22semidirect
121. #123×D17C22semidirect
123. C2×#10587583C22semidirect
124. C2×#10587583C22semidirect
125. C2×#10587610C22semidirect
129. C2×#10587582C22semidirect
130. C2×#10587582C22semidirect
131. C2×#10587582C22semidirect
132. C2×#10587564C22semidirect
133. C2×#10587564C22semidirect
134. C2×#10587564C22semidirect
135. C2×#10587564C22semidirect
136. C2×#10587564C22semidirect
137. C2×#10587564C22semidirect
143. C2×#10587632C22semidirect
144. C2×#10587632C22semidirect
145. C2×#10587632C22semidirect
146. C2×#10587632C22semidirect
147. C2×#10587632C22semidirect
148. C2×#10587632C22semidirect
149. C2×#10587632C22semidirect
150. C2×#10587632C22semidirect
151. C2×#10587632C22semidirect
152. C2×#10587632C22semidirect
157. C2×#10587570C22semidirect
158. C2×#10587570C22semidirect
162. C2×#10587625C22semidirect
167. C2×C4×Dic34C22semidirect
168. C2×#10587573C22semidirect
171. C2×D4×Dic17C22semidirect
174. C2×#10587579C22semidirect
176. C2×C4×C22⋊D17C22semidirect
180. C2×#10587567C22semidirect
181. C2×#10587567C22semidirect
182. C2×#10587567C22semidirect
183. C2×#10587612C22semidirect
186. C2×#10587558C22semidirect
187. C2×#10587563C22semidirect
188. C2×#10587563C22semidirect
189. C22×C4⋊Dic17C22semidirect
190. C22×#63225C22semidirect
191. C22×#63225C22semidirect
192. C22×#63225C22semidirect
195. C2×C4⋊C4×D17C22semidirect
204. C23×Q8×C17C22semidirect
205. C17×#536C22semidirect
206. C2×C17×C4⋊Q8C22semidirect
207. C2×C17×C4⋊Q8C22semidirect
208. C2×C17×#124C22semidirect
209. C2×C17×#124C22semidirect
212. C2×C17×#123C22semidirect
213. C2×C17×#123C22semidirect
214. C2×C17×C22⋊Q8C22semidirect
215. C2×C17×C22⋊Q8C22semidirect
216. C2×C17×C22⋊Q8C22semidirect
217. C2×C17×C22⋊Q8C22semidirect
218. C2×C17×#117C22semidirect
229. C22×Q8×C17C23semidirect
253. C2×#63254C23semidirect
280. C17×C4⋊Q8C23semidirect
281. C17×C4⋊Q8C23semidirect
282. C17×#124C23semidirect
283. C17×#124C23semidirect
286. C17×#123C23semidirect
287. C17×#123C23semidirect
288. C17×C22⋊Q8C23semidirect
289. C17×C22⋊Q8C23semidirect
290. C17×C22⋊Q8C23semidirect
291. C17×C22⋊Q8C23semidirect
292. C17×#117C23semidirect
324. #10587633C23semidirect
325. #10587633C23semidirect
331. #10587632C23semidirect
332. #10587632C23semidirect
333. #10587632C23semidirect
334. #10587632C23semidirect
335. #10587632C23semidirect
336. #10587632C23semidirect
337. #10587632C23semidirect
338. #10587632C23semidirect
339. #10587632C23semidirect
340. #10587630C23semidirect
341. #10587630C23semidirect
342. #10587630C23semidirect
346. #10587625C23semidirect
350. #10587621C23semidirect
352. D4×Dic17C23semidirect
357. #10587615C23semidirect
358. #10587615C23semidirect
359. #10587615C23semidirect
361. C4×C22⋊D17C23semidirect
393. #10587612C23semidirect
406. C2×C4⋊Dic17C23semidirect
407. #10587610C23semidirect
436. C2×#63225C23semidirect
437. C2×#63225C23semidirect
438. C2×#63225C23semidirect
447. #10587584C23semidirect
448. #10587584C23semidirect
449. #10587584C23semidirect
450. #10587584C23semidirect
451. #10587584C23semidirect
452. #10587584C23semidirect
454. #10587583C23semidirect
455. #10587583C23semidirect
459. #10587582C23semidirect
460. #10587582C23semidirect
461. #10587582C23semidirect
467. #10587580C23semidirect
468. #10587580C23semidirect
471. #10587579C23semidirect
475. C4⋊C4×D17C23semidirect
476. #10587576C23semidirect
477. #10587576C23semidirect
478. #10587576C23semidirect
479. #10587575C23semidirect
480. #10587575C23semidirect
481. #10587575C23semidirect
482. #10587575C23semidirect
483. #10587575C23semidirect
484. #10587575C23semidirect
485. #10587574C23semidirect
486. #10587573C23semidirect
488. #10587572C23semidirect
489. #10587572C23semidirect
490. #10587572C23semidirect
492. #10587571C23semidirect
495. #10587570C23semidirect
496. #10587570C23semidirect
500. #10587569C23semidirect
501. #10587569C23semidirect
502. #10587569C23semidirect
508. #10587567C23semidirect
509. #10587567C23semidirect
510. #10587567C23semidirect
515. #10587565C23semidirect
516. #10587565C23semidirect
517. #10587565C23semidirect
518. #10587565C23semidirect
519. #10587564C23semidirect
520. #10587564C23semidirect
521. #10587564C23semidirect
522. #10587564C23semidirect
523. #10587564C23semidirect
524. #10587564C23semidirect
525. #10587563C23semidirect
526. #10587563C23semidirect
527. #10587562C23semidirect
528. #10587562C23semidirect
529. #10587561C23semidirect
532. #10587558C23semidirect
533. #10587556C23semidirect
534. C4×Dic34C23semidirect
941. C2×#536D17semidirect
1006. C23×Q8C2×D17semidirect
1036. #536C2×D17semidirect
1041. C2×C4⋊Q8C2×D17semidirect
1042. C2×C4⋊Q8C2×D17semidirect
1071. C2×#124C2×D17semidirect
1072. C2×#124C2×D17semidirect
1101. C2×#123C2×D17semidirect
1102. C2×#123C2×D17semidirect
1134. C2×C22⋊Q8C2×D17semidirect
1135. C2×C22⋊Q8C2×D17semidirect
1136. C2×C22⋊Q8C2×D17semidirect
1137. C2×C22⋊Q8C2×D17semidirect
1174. C2×#117C2×D17semidirect
1192. C2×C17#3535semidirect
1218. C22×Q8C22×D17semidirect
1265. C4⋊Q8C22×D17semidirect
1266. C4⋊Q8C22×D17semidirect
1295. #124C22×D17semidirect
1296. #124C22×D17semidirect
1323. #123C22×D17semidirect
1324. #123C22×D17semidirect
1355. C22⋊Q8C22×D17semidirect
1356. C22⋊Q8C22×D17semidirect
1357. C22⋊Q8C22×D17semidirect
1358. C22⋊Q8C22×D17semidirect
1395. #117C22×D17semidirect
1516. C17C2×#3535semidirect
1959. C2#14542983direct (N × H)

Maximal subgroups

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

subgroupindex
#145429832
C2×#117635602
C2×#117635582
C2×#117635552
C2×#117635532
C2×#117635202
C2×#117635132
C2×#117634962
C2×#117634922
C2×#117634892
C2×#117634862
C2×#117634832
C2×#117634822
C2×#117634582
C2×#117634572
C2×#117634512
C2×#117634472
C2×#117634362
C2×#117634342
C2×#117634332
C2×#117634232
C2×#117634082
C2×#117634052
C2×#117634032
C2×#117633932
C2×#117633832
C2×#117633172
C2×#123×D172
C22×#105876322
C2×C17×#5362
C2×#353517