Finite Group Databasebeta

← C2×#14542985 #17941524

Subgroups — C2×#14542985 #17941524

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#14542985C2132yesmaximal, direct product factor
2C2×#11763560C211yesmaximal, characteristic, complemented
3C2×#11763558C211yesmaximal, characteristic, complemented
4C2×#11763556C211yesmaximal, characteristic, complemented
5C2×#11763554C211yesmaximal, characteristic, complemented
6C2×#11763514C211yesmaximal, characteristic, complemented
7C2×#11763513C211yesmaximal, characteristic, complemented
8C2×#11763496C211yesmaximal, characteristic, complemented
9C2×#11763494C211yesmaximal, characteristic, complemented
10C2×#11763488C211yesmaximal, characteristic, complemented
11C2×#11763488C211yesmaximal, characteristic, complemented
12C2×#11763487C211yesmaximal, characteristic, complemented
13C2×#11763482C211yesmaximal, characteristic, complemented
14C2×#11763458C211yesmaximal, characteristic, complemented
15C2×#11763448C211yesmaximal, characteristic, complemented
16C2×#11763447C211yesmaximal, characteristic, complemented
17C2×#11763436C211yesmaximal, characteristic, complemented
18C2×#11763434C211yesmaximal, characteristic, complemented
19C2×#11763429C211yesmaximal, characteristic, complemented
20C2×#11763427C211yesmaximal, characteristic, complemented
21C2×#11763406C211yesmaximal, characteristic, complemented
22C2×#11763404C211yesmaximal, characteristic, complemented
23C2×#11763402C211yesmaximal, characteristic, complemented
24C2×#11763401C211yesmaximal, characteristic, complemented
25C2×#11763401C211yesmaximal, characteristic, complemented
26C2×#11763391C211yesmaximal, characteristic, complemented
27C2×#11763381C211yesmaximal, characteristic, complemented
28C2×#11763380C211yesmaximal, characteristic, complemented
29C2×#11763316C211yesmaximal, characteristic, complemented
30C2×#123×D17C211yesmaximal, characteristic, complemented
31C22×#10587582C211yesmaximal, characteristic, complemented
32C2×C17×#547C211yesmaximal, characteristic, complemented
33C22×#63254C2211yescharacteristic
34C23×Dic34C2211yescharacteristic, complemented
35C22×D4×D17C2211yescharacteristic
36C23×C4×D17C2211yescharacteristic
37#11763560C22116yescomplemented
38#11763558C22116yescomplemented
39#11763556C22116yescomplemented
40#11763554C22116yescomplemented
41#11763514C22116yescomplemented
42#11763513C22116yescomplemented
43#11763496C22116yescomplemented
44#11763494C22116yescomplemented
45#11763488C22116yescomplemented
46#11763488C22116yescomplemented
47#11763487C22116yescomplemented
48#11763482C22116yescomplemented
49#11763458C22116yescomplemented
50#11763448C22116yescomplemented
51#11763447C22116yescomplemented
52#11763436C22116yescomplemented
53#11763434C22116yescomplemented
54#11763429C22116yescomplemented
55#11763427C22116yescomplemented
56#11763406C22116yescomplemented
57#11763404C22116yescomplemented
58#11763402C22116yescomplemented
59#11763401C22116yescomplemented
60#11763401C22116yescomplemented
61#11763391C22116yescomplemented
62#11763381C22116yescomplemented
63#11763380C22116yescomplemented
64C2×#10587574C2211yescharacteristic, complemented
65C2×#10587574C2211yescharacteristic, complemented
66C2×#10587630C2211yescharacteristic, complemented
67C2×#10587630C2211yescharacteristic, complemented
68C2×#10587630C2211yescharacteristic, 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×#10587565C2211yescharacteristic, complemented
81C2×#10587556C2211yescharacteristic, 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×#10587575C2211yescharacteristic, complemented
91C2×#10587633C2211yescharacteristic
92C2×#10587622C2211yescharacteristic, complemented
93C2×#10587622C2211yescharacteristic, complemented
94C2×#10587571C2211yescharacteristic
95C2×#10587571C2211yescharacteristic, complemented
96C2×#10587571C2211yescharacteristic, complemented
97C2×#10587571C2211yescharacteristic, complemented
98C2×#10587571C2211yescharacteristic, complemented
99#11763316C22116yescomplemented
100C2×#10587580C2211yescharacteristic
101C2×#10587580C2211yescharacteristic
102C2×#10587580C2211yescharacteristic
103C2×#10587572C2211yescharacteristic
104C2×#10587572C2211yescharacteristic, complemented
105C2×#10587615C2211yescharacteristic
106C2×#10587615C2211yescharacteristic
107C2×#10587615C2211yescharacteristic
108C2×#10587615C2211yescharacteristic, complemented
109C2×#10587615C2211yescharacteristic, complemented
110C2×#10587615C2211yescharacteristic, complemented
111C2×#10587569C2211yescharacteristic
112C2×#10587569C2211yescharacteristic
113C2×#10587569C2211yescharacteristic
114C2×#10587569C2211yescharacteristic
115C2×#10587569C2211yescharacteristic, complemented
116C2×#10587621C2211yescharacteristic
117C2×#10587621C2211yescharacteristic
118C2×#10587621C2211yescharacteristic, complemented
119C2×#10587621C2211yescharacteristic, complemented
120C2×#10587621C2211yescharacteristic, complemented
121C2×#10587621C2211yescharacteristic, complemented
122C2×#10587621C2211yescharacteristic, complemented
123C2×#10587621C2211yescharacteristic, complemented
124#123×D17C22116yescomplemented
125C2×#10587583C2211yescharacteristic
126C2×#10587583C2211yescharacteristic, complemented
127C2×#10587610C2211yescharacteristic, complemented
128C2×#10587610C2211yescharacteristic, complemented
129C2×#10587610C2211yescharacteristic, complemented
130C2×#10587610C2211yescharacteristic, complemented
131C2×#10587610C2211yescharacteristic, complemented
132C2×#10587610C2211yescharacteristic, complemented
133C2×#10587610C2211yescharacteristic, complemented
134C2×#10587582C2211yescharacteristic
135C2×#10587582C2211yescharacteristic
136C2×#10587582C2211yescharacteristic
137C2×#10587582C2211yescharacteristic
138C2×#10587582C2211yescharacteristic
139C2×#10587582C2211yescharacteristic
140C2×#10587582C2211yescharacteristic, complemented
141C2×#10587582C2211yescharacteristic, complemented
142C2×#10587582C2211yescharacteristic, complemented
143C2×#10587582C2211yescharacteristic, complemented
144C2×#10587582C2211yescharacteristic, complemented
145C2×#10587582C2211yescharacteristic, complemented
146C2×#10587582C2211yescharacteristic, complemented
147C2×#10587582C22116yescomplemented
148C2×#10587564C2211yescharacteristic, complemented
149C2×#10587564C2211yescharacteristic, complemented
150C2×#10587564C2211yescharacteristic, complemented
151C2×#10587564C2211yescharacteristic, complemented
152C2×#10587564C2211yescharacteristic, complemented
153C2×#10587564C2211yescharacteristic, complemented
154C2×#10587632C2211yescharacteristic
155C2×#10587632C2211yescharacteristic
156C2×#10587632C2211yescharacteristic, complemented
157C2×#10587632C2211yescharacteristic, complemented
158C2×#10587616C2211yescharacteristic
159C2×#10587570C2211yescharacteristic
160C2×#10587625C2211yescharacteristic
161C2×#10587625C2211yescharacteristic
162C2×#10587625C2211yescharacteristic
163C2×#10587625C2211yescharacteristic, complemented
164C2×#10587624C2211yescharacteristic
165C2×#10587624C2211yescharacteristic, complemented
166C2×#10587623C2211yescharacteristic
167C2×#10587623C2211yescharacteristic
168C2×#10587623C2211yescharacteristic
169C2×#10587623C2211yescharacteristic
170C2×#10587573C2211yescharacteristic, complemented
171C2×#10587573C2211yescharacteristic, complemented
172C2×D4×Dic17C2211yescharacteristic
173C2×D4×Dic17C2211yescharacteristic, complemented
174C2×C4×C22⋊D17C2211yescharacteristic
175C2×C4×C22⋊D17C2211yescharacteristic
176C2×C4×C22⋊D17C2211yescharacteristic
177C2×C4×C22⋊D17C2211yescharacteristic
178C2×C4×C22⋊D17C2211yescharacteristic
179C2×C4×C22⋊D17C2211yescharacteristic, complemented
180C2×C4×C22⋊D17C2211yescharacteristic, complemented
181C2×C4×C22⋊D17C2211yescharacteristic, complemented
182C2×#10587567C2211yescharacteristic
183C2×#10587567C2211yescharacteristic
184C2×#10587612C2211yescharacteristic, complemented
185C2×#10587612C2211yescharacteristic, complemented
186C2×#10587578C2211yescharacteristic
187C2×#10587578C2211yescharacteristic, complemented
188C2×#10587558C2211yescharacteristic
189C2×#10587563C2211yescharacteristic, complemented
190C2×#10587563C2211yescharacteristic, complemented
191C22×#63225C2211yescharacteristic, complemented
192C22×#63225C2211yescharacteristic, complemented
193C22×#63225C2211yescharacteristic, complemented
194C2×C4⋊C4×D17C2211yescharacteristic
195C2×C4⋊C4×D17C2211yescharacteristic
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
204C22×#41×C17C2211yescharacteristic, complemented
205C17×#547C22116yescomplemented
206C2×C17×C4⋊Q8C2211yescharacteristic, complemented
207C2×C17×#123C2211yescharacteristic
208C2×C17×#123C2211yescharacteristic, complemented
209C2×C17×#123C2211yescharacteristic, complemented
210C2×C17×#123C2211yescharacteristic, complemented
211C2×C17×C22⋊Q8C2211yescharacteristic, complemented
212C2×C17×C22⋊Q8C2211yescharacteristic, complemented
213C2×C17×#121C2211yescharacteristic
214C2×C17×#121C2211yescharacteristic, complemented
215C2×C4×D4×C17C2211yescharacteristic, complemented
216C2×C4×D4×C17C2211yescharacteristic, complemented
217C22×C4⋊C4×C17C2211yescharacteristic, complemented
218C22×C4⋊C4×C17C2211yescharacteristic, complemented
219C24×D17C2311yescharacteristic
220C24×D17C2311yescharacteristic
221C2×#41×C17—44no—
222C2×#41×C17—44no—
223C2×#41×C17C2318yes—
224C2×#41×C17C2318yescomplemented
225C22×Q8×C17C2311yescharacteristic
226C22×Q8×C17C2311yescharacteristic
227C22×D4×C17C2311yescharacteristic
228C22×D4×C17C2311yescharacteristic
229C22×D4×C17C2311yescharacteristic
230C22×D4×C17C2311yescharacteristic
231C22×D4×C17C2311yescharacteristic
232C22×D4×C17C2311yescharacteristic
233C23×C4×C17C2311yescharacteristic
234C23×C4×C17C2311yescharacteristic
235C23×C4×C17C2311yescharacteristic
236C23×C4×C17C2311yescharacteristic
237C23×C4×C17C2311yescharacteristic
238C23×C4×C17C2311yescharacteristic
239C23×C4×C17C2311yescharacteristic
240C23×C4×C17C2311yescharacteristic
241C22×C22⋊D17C2311yescharacteristic
242C22×C22⋊D17C2311yescharacteristic
243C22×C22⋊D17C2311yescharacteristic
244C22×C22⋊D17C2311yescharacteristic
245C22×C22⋊D17C2311yescharacteristic
246C22×C22⋊D17C2311yescharacteristic
247C22×C22⋊D17C2311yescharacteristic
248C22×C22⋊D17C2311yescharacteristic
249C23×Dic17C2311yescharacteristic
250C23×Dic17C2311yescharacteristic
251C23×Dic17C2311yescharacteristic
252C23×Dic17C2311yescharacteristic
253C23×Dic17C2311yescharacteristic
254C23×Dic17C2311yescharacteristic
255C2×#63254—44no—
256C2×#63254C2318yes—
257C2×D4×D17—44no—
258C2×D4×D17C2318yes—
259C22×D68C2311yescharacteristic
260C22×C4×D17—44no—
261C22×C4×D17C2311yescharacteristic
262C22×C4×D17C2311yescharacteristic
263C22×C4×D17C2311yescharacteristic
264C22×C4×D17C2311yescharacteristic
265C22×C4×D17C2311yescharacteristic
266C22×C4×D17C2311yescharacteristic
267C22×C4×D17C2311yescharacteristic
268C22×C4×D17C2311yescharacteristic
269C22×C4×D17C2311yescharacteristic
270C22×C4×D17C2318yes—
271C22×Dic34—44no—
272C22×Dic34C2311yescharacteristic
273C22×Dic34C2311yescharacteristic
274C22×Dic34C2311yescharacteristic
275C22×Dic34C2311yescharacteristic
276C22×Dic34C2311yescharacteristic
277C22×Dic34C2311yescharacteristic
278C22×Dic34C2311yescharacteristic
279C22×Dic34C2318yescomplemented
280C17×C4⋊Q8C2318yescomplemented
281C17×#123C2318yes—
282C17×#123C2318yescomplemented
283C17×#123C2318yescomplemented
284C17×#123C2318yescomplemented
285C17×C22⋊Q8C2318yescomplemented
286C17×C22⋊Q8C2318yescomplemented
287C17×#121C2318yes—
288C17×#121C2318yescomplemented
289C4×D4×C17C2318yescomplemented
290C4×D4×C17C2318yescomplemented
291C2×C4⋊C4×C17C2311yescharacteristic
292C2×C4⋊C4×C17C2311yescharacteristic
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×C17C2318yescomplemented
302C2×C4⋊C4×C17C2318yescomplemented
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×C42×C17C2311yescharacteristic
312C2×C22⋊Dic17C2311yescharacteristic
313C2×C22⋊Dic17C2311yescharacteristic
314C2×C22⋊Dic17C2311yescharacteristic
315C2×C22⋊Dic17C2311yescharacteristic
316C2×C22⋊Dic17C2311yescharacteristic
317C2×C22⋊Dic17C2311yescharacteristic
318C2×C22⋊Dic17C2311yescharacteristic
319C2×C22⋊Dic17C2311yescharacteristic
320C2×C22⋊Dic17C2311yescharacteristic
321C2×C22⋊Dic17C2311yescharacteristic
322C2×C22⋊Dic17C2311yescharacteristic
323C2×C22⋊Dic17C2311yescharacteristic
324C2×C22⋊Dic17C2311yescharacteristic
325C2×C22⋊Dic17C2311yescharacteristic
326C2×C22⋊Dic17C2311yescharacteristic
327C2×C22⋊Dic17C2311yescharacteristic
328#10587633C2318yes—
329#10587632C2318yes—
330#10587632C2318yes—
331#10587632C2318yescomplemented
332#10587632C2318yescomplemented
333#10587630C2318yescomplemented
334#10587630C2318yescomplemented
335#10587630C2318yescomplemented
336#10587625C2318yes—
337#10587625C2318yes—
338#10587625C2318yes—
339#10587625C2318yescomplemented
340#10587624C2318yes—
341#10587624C2318yescomplemented
342#10587623C2318yes—
343#10587623C2318yes—
344#10587623C2318yes—
345#10587623C2318yes—
346#10587622C2318yescomplemented
347#10587622C2318yescomplemented
348#10587621C2318yes—
349#10587621C2318yes—
350#10587621C2318yescomplemented
351#10587621C2318yescomplemented
352#10587621C2318yescomplemented
353#10587621C2318yescomplemented
354#10587621C2318yescomplemented
355#10587621C2318yescomplemented
356D4×Dic17C2318yes—
357D4×Dic17C2318yescomplemented
358#10587616C2318yes—
359#10587615C2318yes—
360#10587615C2318yes—
361#10587615C2318yes—
362#10587615C2318yescomplemented
363#10587615C2318yescomplemented
364#10587615C2318yescomplemented
365C4×C22⋊D17C2318yes—
366C4×C22⋊D17C2318yes—
367C4×C22⋊D17C2318yes—
368C4×C22⋊D17C2318yes—
369C4×C22⋊D17C2318yes—
370C4×C22⋊D17C2318yescomplemented
371C4×C22⋊D17C2318yescomplemented
372C4×C22⋊D17C2318yescomplemented
373C2×#63227C2318yes—
374C2×#63227C2318yes—
375C2×#63227C2318yes—
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
393C2×#63227C2311yescharacteristic
394C2×#63227C2311yescharacteristic
395C2×#63227C2311yescharacteristic
396C2×#63227C2311yescharacteristic
397C2×#63227C2311yescharacteristic
398#10587612C2318yescomplemented
399#10587612C2318yescomplemented
400C2×C4⋊Dic17C2311yescharacteristic
401C2×C4⋊Dic17C2311yescharacteristic
402C2×C4⋊Dic17C2311yescharacteristic
403C2×C4⋊Dic17C2311yescharacteristic
404C2×C4⋊Dic17C2311yescharacteristic
405C2×C4⋊Dic17C2311yescharacteristic
406C2×C4⋊Dic17C2311yescharacteristic
407C2×C4⋊Dic17C2311yescharacteristic
408C2×C4⋊Dic17C2311yescharacteristic
409C2×C4⋊Dic17C2311yescharacteristic
410#10587610C2318yescomplemented
411#10587610C2318yescomplemented
412#10587610C2318yescomplemented
413#10587610C2318yescomplemented
414#10587610C2318yescomplemented
415#10587610C2318yescomplemented
416#10587610C2318yescomplemented
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×#63225C2311yescharacteristic
437C2×#63225C2311yescharacteristic
438C2×#63225C2311yescharacteristic
439C2×#63225C2311yescharacteristic
440C2×#63225C2311yescharacteristic
441C2×#63225C2311yescharacteristic
442C2×#63225C2311yescharacteristic
443C2×#63225C2311yescharacteristic
444C2×#63225C2311yescharacteristic
445C2×#63225C2311yescharacteristic
446C2×#63225C2311yescharacteristic
447C2×#63225C2318yescomplemented
448C2×#63225C2318yescomplemented
449C2×#63225C2318yescomplemented
450C2×C4×Dic17C2311yescharacteristic
451C2×C4×Dic17C2311yescharacteristic
452C2×C4×Dic17C2311yescharacteristic
453C2×C4×Dic17C2311yescharacteristic
454C2×C4×Dic17C2311yescharacteristic
455C2×C4×Dic17C2311yescharacteristic
456C2×C4×Dic17C2311yescharacteristic
457C2×C4×Dic17C2311yescharacteristic
458C2×C4×Dic17C2311yescharacteristic
459#10587584C2318yescomplemented
460#10587584C2318yescomplemented
461#10587584C2318yescomplemented
462#10587584C2318yescomplemented
463#10587584C2318yescomplemented
464#10587583C2318yes—
465#10587583C2318yescomplemented
466#10587582C2318yes—
467#10587582C2318yes—
468#10587582C2318yes—
469#10587582C2318yes—
470#10587582C2318yes—
471#10587582C2318yes—
472#10587582C2318yescomplemented
473#10587582C2318yescomplemented
474#10587582C2318yescomplemented
475#10587582C2318yescomplemented
476#10587582C2318yescomplemented
477#10587582C2318yescomplemented
478#10587582C2318yescomplemented
479#10587580C2318yes—
480#10587580C2318yes—
481#10587580C2318yes—
482#10587578C2318yes—
483#10587578C2318yescomplemented
484C4⋊C4×D17C2318yes—
485C4⋊C4×D17C2318yes—
486#10587576C2318yescomplemented
487#10587576C2318yescomplemented
488#10587575C2318yescomplemented
489#10587575C2318yescomplemented
490#10587575C2318yescomplemented
491#10587575C2318yescomplemented
492#10587575C2318yescomplemented
493#10587575C2318yescomplemented
494#10587575C2318yescomplemented
495#10587574C2318yescomplemented
496#10587574C2318yescomplemented
497#10587573C2318yescomplemented
498#10587573C2318yescomplemented
499#10587572C2318yes—
500#10587572C2318yescomplemented
501#10587571C2318yes—
502#10587571C2318yescomplemented
503#10587571C2318yescomplemented
504#10587571C2318yescomplemented
505#10587571C2318yescomplemented
506#10587570C2318yes—
507#10587569C2318yes—
508#10587569C2318yes—
509#10587569C2318yes—
510#10587569C2318yes—
511#10587569C2318yescomplemented
512#10587567C2318yes—
513#10587567C2318yes—
514C22⋊C4×D17C2318yes—
515C22⋊C4×D17C2318yes—
516C22⋊C4×D17C2318yes—
517C22⋊C4×D17C2318yes—
518#10587565C2318yescomplemented
519#10587565C2318yescomplemented
520#10587565C2318yescomplemented
521#10587565C2318yescomplemented
522#10587565C2318yescomplemented
523#10587564C2318yescomplemented
524#10587564C2318yescomplemented
525#10587564C2318yescomplemented
526#10587564C2318yescomplemented
527#10587564C2318yescomplemented
528#10587564C2318yescomplemented
529#10587563C2318yescomplemented
530#10587563C2318yescomplemented
531#10587562C2318yescomplemented
532#10587562C2318yescomplemented
533#10587558C2318yes—
534#10587556C2318yescomplemented
535C24×C17C2411yescharacteristic
536C24×C17C2411yescharacteristic
537C24×C17C2411yescharacteristic
538C24×C17C2411yescharacteristic
539C23×D17—24no—
540C23×D17—24no—
541C23×D17—24no—
542C23×D17—42no—
543C23×D17—42no—
544C23×D17—42no—
545C23×D17C2411yescharacteristic
546C23×D17C2411yescharacteristic
547C23×D17C2414yes—
548C23×D17C2411yescharacteristic
549C23×D17C2414yes—
550#41×C17—416no—
551#41×C17—416no—
552C2×Q8×C17—42no—
553C2×Q8×C17—42no—
554C2×Q8×C17C2414yes—
555C2×Q8×C17C2414yes—
556C2×D4×C17—24no—
557C2×D4×C17—24no—
558C2×D4×C17—24no—
559C2×D4×C17—42no—
560C2×D4×C17—42no—
561C2×D4×C17—42no—
562C2×D4×C17C2414yes—
563C2×D4×C17C2414yes—
564C2×D4×C17C2414yes—
565C2×D4×C17C2414yes—
566C2×D4×C17C2414yes—
567C2×D4×C17C2414yes—
568C22×C4×C17—24no—
569C22×C4×C17—24no—
570C22×C4×C17—42no—
571C22×C4×C17—42no—
572C22×C4×C17—42no—
573C22×C4×C17—42no—
574C22×C4×C17—42no—
575C22×C4×C17—42no—
576C22×C4×C17C2414yes—
577C22×C4×C17C2414yes—
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×C17C2411yescharacteristic
588C22×C4×C17C2411yescharacteristic
589C22×C4×C17C2414yes—
590C22×C4×C17C2414yes—
591C22×C4×C17C2414yes—
592C22×C4×C17C2414yes—
593C22×C4×C17C2414yes—
594C22×C4×C17C2414yes—
595C2×C22⋊D17—24no—
596C2×C22⋊D17—24no—
597C2×C22⋊D17—24no—
598C2×C22⋊D17—42no—
599C2×C22⋊D17—42no—
600C2×C22⋊D17—42no—
601C2×C22⋊D17—42no—
602C2×C22⋊D17—42no—
603C2×C22⋊D17C2414yes—
604C2×C22⋊D17C2414yes—
605C2×C22⋊D17C2414yes—
606C2×C22⋊D17C2414yes—
607C2×C22⋊D17C2414yes—
608C2×C22⋊D17C2414yes—
609C2×C22⋊D17C2414yes—
610C2×C22⋊D17C2414yes—
611C22×Dic17—24no—
612C22×Dic17—24no—
613C22×Dic17—42no—
614C22×Dic17—42no—
615C22×Dic17—42no—
616C22×Dic17—42no—
617C22×Dic17C2411yescharacteristic
618C22×Dic17C2411yescharacteristic
619C22×Dic17C2411yescharacteristic
620C22×Dic17C2411yescharacteristic
621C22×Dic17C2411yescharacteristic
622C22×Dic17C2411yescharacteristic
623C22×Dic17C2411yescharacteristic
624C22×Dic17C2411yescharacteristic
625C22×Dic17C2411yescharacteristic
626C22×Dic17C2414yes—
627C22×Dic17C2414yes—
628C22×Dic17C2411yescharacteristic
629C22×Dic17C2411yescharacteristic
630C22×Dic17C2411yescharacteristic
631C22×Dic17C2411yescharacteristic
632C22×Dic17C2414yes—
633C22×Dic17C2414yes—
634C22×Dic17C2414yes—
635C22×Dic17C2414yes—
636#63254—416no—
637D4×D17—416no—
638C2×D68—42no—
639C2×D68C2414yes—
640C2×C4×D17—24no—
641C2×C4×D17—42no—
642C2×C4×D17—42no—
643C2×C4×D17—42no—
644C2×C4×D17—42no—
645C2×C4×D17—416no—
646C2×C4×D17—42no—
647C2×C4×D17—42no—
648C2×C4×D17—42no—
649C2×C4×D17—42no—
650C2×C4×D17C2414yes—
651C2×C4×D17C2414yes—
652C2×C4×D17C2414yes—
653C2×C4×D17C2414yes—
654C2×C4×D17C2414yes—
655C2×C4×D17C2414yes—
656C2×C4×D17C2414yes—
657C2×C4×D17C2414yes—
658C2×C4×D17C2414yes—
659C2×Dic34—42no—
660C2×Dic34—42no—
661C2×Dic34—42no—
662C2×Dic34—42no—
663C2×Dic34—416no—
664C2×Dic34—42no—
665C2×Dic34—42no—
666C2×Dic34—42no—
667C2×Dic34C2414yes—
668C2×Dic34C2414yes—
669C2×Dic34C2414yes—
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—
692C42×C17C2414yes—
693C22⋊Dic17C2414yes—
694C22⋊Dic17C2414yes—
695C22⋊Dic17C2414yes—
696C22⋊Dic17C2414yes—
697C22⋊Dic17C2414yes—
698C22⋊Dic17C2414yes—
699C22⋊Dic17C2414yes—
700C22⋊Dic17C2414yes—
701C22⋊Dic17C2414yes—
702C22⋊Dic17C2414yes—
703C22⋊Dic17C2414yes—
704C22⋊Dic17C2414yes—
705C22⋊Dic17C2414yes—
706C22⋊Dic17C2414yes—
707C22⋊Dic17C2414yes—
708C22⋊Dic17C2414yes—
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—
731C4⋊Dic17C2414yes—
732C4⋊Dic17C2414yes—
733C4⋊Dic17C2414yes—
734C4⋊Dic17C2414yes—
735C4⋊Dic17C2414yes—
736C4⋊Dic17C2414yes—
737C4⋊Dic17C2414yes—
738C4⋊Dic17C2414yes—
739C4⋊Dic17C2414yes—
740C4⋊Dic17C2414yes—
741#63225C2414yes—
742#63225C2414yes—
743#63225C2414yes—
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—
771C4×Dic17C2414yes—
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×C17—22no—
790C23×C17—22no—
791C23×C17—22no—
792C23×C17H(5,𝔽2)14yes—
793C23×C17C2512yes—
794C23×C17C2512yes—
795C23×C17C2512yes—
796C23×C17C2512yes—
797C23×C17C2511yescharacteristic
798C22×D17—22no—
799C22×D17—22no—
800C22×D17—22no—
801C22×D17—28no—
802C22×D17—22no—
803C22×D17—22no—
804C22×D17—22no—
805C22×D17—22no—
806C22×D17—22no—
807C22×D17—28no—
808C22×D17—28no—
809C22×D17—44no—
810C22×D17—44no—
811C22×D17—44no—
812C22×D17—416no—
813C22×D17—88no—
814C22×D172−1+414yes—
815C22×D17C2512yes—
816C22×D17C2512yes—
817C22×D17C2512yes—
818Q8×C17—44no—
819Q8×C17—44no—
820D4×C17—28no—
821D4×C17—28no—
822D4×C17—28no—
823D4×C17—44no—
824D4×C17—44no—
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—28no—
833C2×C4×C17—22no—
834C2×C4×C17—22no—
835C2×C4×C17—22no—
836C2×C4×C17—22no—
837C2×C4×C17—22no—
838C2×C4×C17—22no—
839C2×C4×C17—44no—
840C2×C4×C17—44no—
841C2×C4×C17—44no—
842C2×C4×C17—44no—
843C2×C4×C17—44no—
844C2×C4×C17—44no—
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—
855C2×C4×C17C2512yes—
856C22⋊D17—28no—
857C22⋊D17—28no—
858C22⋊D17—28no—
859C22⋊D17—44no—
860C22⋊D17—44no—
861C22⋊D17—44no—
862C22⋊D17—44no—
863C22⋊D17—44no—
864C2×Dic17—22no—
865C2×Dic17—28no—
866C2×Dic17—22no—
867C2×Dic17—22no—
868C2×Dic17—22no—
869C2×Dic17—28no—
870C2×Dic17—22no—
871C2×Dic17—22no—
872C2×Dic17—22no—
873C2×Dic17—22no—
874C2×Dic17—22no—
875C2×Dic17—22no—
876C2×Dic17—22no—
877C2×Dic17—22no—
878C2×Dic17—22no—
879C2×Dic17—44no—
880C2×Dic17—44no—
881C2×Dic17—44no—
882C2×Dic17—44no—
883C2×Dic17C2512yes—
884C2×Dic17C2512yes—
885C2×Dic17C2512yes—
886C2×Dic17C2512yes—
887C2×Dic17C2512yes—
888C2×Dic17C2512yes—
889C2×Dic17C2512yes—
890C2×Dic17C2512yes—
891C2×Dic17C2512yes—
892C2×Dic17C2512yes—
893C2×Dic17C2512yes—
894C2×Dic17C2512yes—
895C2×Dic17C2512yes—
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—
906Dic34—44no—
907Dic34—44no—
908Dic34—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×#547D1711yescharacteristic, complemented
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×#536—171no—
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—22no—
955C22×C17—22no—
956C22×C17—22no—
957C22×C17—44no—
958C22×C17—44no—
959C22×C17—44no—
960C22×C17C2×H(5,𝔽2)14yes—
961C22×C17C2×H(5,𝔽2)12yes—
962C22×C17C2×2−1+412yes—
963C22×C17#58512yes—
964C22×C17C2611yescharacteristic
965C2×D17—22no—
966C2×D17—22no—
967C2×D17—28no—
968C2×D17—22no—
969C2×D17—22no—
970C2×D17—22no—
971C2×D17—22no—
972C2×D17—22no—
973C2×D17—22no—
974C2×D17—416no—
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—
990Dic17—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×#41C2×D1711yescharacteristic
1005C22×#41C2×D1711yescharacteristic, complemented
1006C23×Q8—171no—
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#547C2×D17116yescomplemented
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#536—1716no—
1037C2×C4⋊Q8—171no—
1038C2×C4⋊Q8—171no—
1039C2×C4⋊Q8—171no—
1040C2×C4⋊Q8—171no—
1041C2×C4⋊Q8—171no—
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×#124—171no—
1072C2×#124—171no—
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—171no—
1083C2×#123—171no—
1084C2×#123—171no—
1085C2×#123—171no—
1086C2×#123—171no—
1087C2×#123—171no—
1088C2×#123—1716no—
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, complemented
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—171no—
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—1716no—
1130C2×C22⋊Q8—171no—
1131C2×C22⋊Q8—171no—
1132C2×C22⋊Q8—171no—
1133C2×C22⋊Q8—171no—
1134C2×C22⋊Q8—171no—
1135C2×C22⋊Q8—171no—
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×#121C2×D1711yescharacteristic
1147C2×#121C2×D1711yescharacteristic, complemented
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×D4C2×D1711yescharacteristic, complemented
1167C2×C4×D4C2×D1711yescharacteristic, complemented
1168C2×#117—171no—
1169C2×#117—171no—
1170C2×#117—171no—
1171C2×#117—171no—
1172C2×#117—171no—
1173C2×#117—171no—
1174C2×#117—171no—
1175C22×C4⋊C4—171no—
1176C22×C4⋊C4—171no—
1177C22×C4⋊C4—171no—
1178C22×C4⋊C4—171no—
1179C22×C4⋊C4—171no—
1180C22×C4⋊C4C2×D1711yescharacteristic, complemented
1181C22×C4⋊C4C2×D1711yescharacteristic, complemented
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—42no—
1193C2×C17#353514yescomplemented
1194C2×C17C22×H(5,𝔽2)11yescharacteristic
1195C2×C17C22×2−1+411yescharacteristic
1196C2×C17C2×#58511yescharacteristic
1197D17—24no—
1198D17—42no—
1199D17—42no—
1200C25—171no—
1201C25—171no—
1202C2×#41—44no—
1203C2×#41—44no—
1204C2×#41—178no—
1205C2×#41—684no—
1206C2×#41C22×D1718yes—
1207C2×#41C22×D1718yescomplemented
1208C22×Q8—171no—
1209C22×Q8—171no—
1210C22×Q8—171no—
1211C22×Q8—171no—
1212C22×Q8—171no—
1213C22×Q8—171no—
1214C22×Q8—171no—
1215C22×Q8—178no—
1216C22×Q8—684no—
1217C22×Q8C22×D1711yescharacteristic
1218C22×Q8C22×D1711yescharacteristic
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—684no—
1230C22×D4C22×D1711yescharacteristic
1231C22×D4C22×D1711yescharacteristic
1232C22×D4C22×D1711yescharacteristic
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—178no—
1252C23×C4—684no—
1253C23×C4C22×D1711yescharacteristic
1254C23×C4C22×D1711yescharacteristic
1255C23×C4C22×D1711yescharacteristic
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⋊Q8—178no—
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#124—178no—
1296#124—178no—
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×D1718yescomplemented
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⋊Q8—178no—
1356C22⋊Q8—178no—
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#121C22×D1718yes—
1368#121C22×D1718yescomplemented
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×D4C22×D1718yescomplemented
1388C4×D4C22×D1718yescomplemented
1389#117—178no—
1390#117—178no—
1391#117—178no—
1392#117—178no—
1393#117—178no—
1394#117—178no—
1395#117—178no—
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—178no—
1410C2×C4⋊C4—178no—
1411C2×C4⋊C4—171no—
1412C2×C4⋊C4—171no—
1413C2×C4⋊C4—171no—
1414C2×C4⋊C4—178no—
1415C2×C4⋊C4—171no—
1416C2×C4⋊C4—171no—
1417C2×C4⋊C4—171no—
1418C2×C4⋊C4—171no—
1419C2×C4⋊C4—171no—
1420C2×C4⋊C4—171no—
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—178no—
1440C2×C4⋊C4—178no—
1441C2×C4⋊C4C22×D1711yescharacteristic
1442C2×C4⋊C4C22×D1711yescharacteristic
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×D1718yescomplemented
1452C2×C4⋊C4C22×D1718yescomplemented
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—171no—
1477C2×C22⋊C4—171no—
1478C2×C22⋊C4—171no—
1479C2×C22⋊C4—171no—
1480C2×C22⋊C4—171no—
1481C2×C22⋊C4—171no—
1482C2×C22⋊C4—171no—
1483C2×C22⋊C4—171no—
1484C2×C22⋊C4—178no—
1485C2×C22⋊C4—178no—
1486C2×C22⋊C4—171no—
1487C2×C22⋊C4—171no—
1488C2×C22⋊C4—171no—
1489C2×C22⋊C4—178no—
1490C2×C22⋊C4—171no—
1491C2×C22⋊C4—171no—
1492C2×C22⋊C4—171no—
1493C2×C22⋊C4—171no—
1494C2×C22⋊C4—178no—
1495C2×C22⋊C4—178no—
1496C2×C22⋊C4—178no—
1497C2×C22⋊C4—178no—
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×C42—171no—
1515C2×C42C22×D1711yescharacteristic
1516C17C2×#353511yescharacteristic, complemented, Sylow
1517C24—171no—
1518C24—171no—
1519C24—171no—
1520C24—174no—
1521C24—174no—
1522C24—344no—
1523C24—344no—
1524C24—344no—
1525C24—682no—
1526C24—682no—
1527C24—682no—
1528C24C23×D1711yescharacteristic
1529C24C23×D1711yescharacteristic
1530C24C23×D1711yescharacteristic
1531C24C23×D1711yescharacteristic
1532#41—416no—
1533#41—416no—
1534#41—6816no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—174no—
1538C2×Q8—174no—
1539C2×Q8—174no—
1540C2×Q8—174no—
1541C2×Q8—174no—
1542C2×Q8—174no—
1543C2×Q8—174no—
1544C2×Q8—682no—
1545C2×Q8—682no—
1546C2×Q8—682no—
1547C2×Q8—682no—
1548C2×Q8—682no—
1549C2×Q8—682no—
1550C2×Q8—6816no—
1551C2×Q8—682no—
1552C2×Q8C23×D1714yes—
1553C2×Q8C23×D1714yes—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—42no—
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—682no—
1573C2×D4—682no—
1574C2×D4—682no—
1575C2×D4—682no—
1576C2×D4—682no—
1577C2×D4—682no—
1578C2×D4—6816no—
1579C2×D4C23×D1714yes—
1580C2×D4C23×D1714yes—
1581C2×D4C23×D1714yes—
1582C2×D4C23×D1714yes—
1583C2×D4C23×D1714yes—
1584C2×D4C23×D1714yes—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—174no—
1594C22×C4—174no—
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—171no—
1604C22×C4—171no—
1605C22×C4—171no—
1606C22×C4—171no—
1607C22×C4—171no—
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—174no—
1621C22×C4—344no—
1622C22×C4—344no—
1623C22×C4—344no—
1624C22×C4—682no—
1625C22×C4—682no—
1626C22×C4—682no—
1627C22×C4—682no—
1628C22×C4—682no—
1629C22×C4—682no—
1630C22×C4—6816no—
1631C22×C4—682no—
1632C22×C4—682no—
1633C22×C4—682no—
1634C22×C4—682no—
1635C22×C4—682no—
1636C22×C4—682no—
1637C22×C4C23×D1714yes—
1638C22×C4C23×D1714yes—
1639C22×C4C23×D1711yescharacteristic
1640C22×C4C23×D1711yescharacteristic
1641C22×C4C23×D1711yescharacteristic
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×D1714yes—
1651C22×C4C23×D1714yes—
1652C22×C4C23×D1714yes—
1653C22×C4C23×D1714yes—
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⋊C4—174no—
1743C22⋊C4—174no—
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—
1760C42—174no—
1761C42C23×D1714yes—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—22no—
1770C23—22no—
1771C23—22no—
1772C23—22no—
1773C23—174no—
1774C23—172no—
1775C23—172no—
1776C23—172no—
1777C23—348no—
1778C23—348no—
1779C23—342no—
1780C23—342no—
1781C23—348no—
1782C23—342no—
1783C23—342no—
1784C23—342no—
1785C23—342no—
1786C23—342no—
1787C23—342no—
1788C23—684no—
1789C23—684no—
1790C23—684no—
1791C23—6816no—
1792C23—1368no—
1793C23#1058769114yes—
1794C23C24×D1712yes—
1795C23C24×D1712yes—
1796C23C24×D1712yes—
1797C23C24×D1712yes—
1798C23C24×D1711yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—684no—
1802Q8—684no—
1803Q8—684no—
1804Q8—684no—
1805Q8—684no—
1806Q8—684no—
1807Q8—684no—
1808D4—28no—
1809D4—28no—
1810D4—28no—
1811D4—44no—
1812D4—44no—
1813D4—44no—
1814D4—348no—
1815D4—348no—
1816D4—348no—
1817D4—684no—
1818D4—684no—
1819D4—684no—
1820D4—684no—
1821D4—684no—
1822D4—684no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—28no—
1827C2×C4—22no—
1828C2×C4—28no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—44no—
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—172no—
1853C2×C4—172no—
1854C2×C4—172no—
1855C2×C4—348no—
1856C2×C4—348no—
1857C2×C4—342no—
1858C2×C4—342no—
1859C2×C4—342no—
1860C2×C4—342no—
1861C2×C4—348no—
1862C2×C4—342no—
1863C2×C4—342no—
1864C2×C4—342no—
1865C2×C4—342no—
1866C2×C4—342no—
1867C2×C4—342no—
1868C2×C4—342no—
1869C2×C4—342no—
1870C2×C4—342no—
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×C4—684no—
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—22no—
1904C22—22no—
1905C22—22no—
1906C22—44no—
1907C22—44no—
1908C22—44no—
1909C22—174no—
1910C22—348no—
1911C22—342no—
1912C22—342no—
1913C22—342no—
1914C22—342no—
1915C22—342no—
1916C22—342no—
1917C22—342no—
1918C22—342no—
1919C22—6816no—
1920C22—684no—
1921C22—684no—
1922C22—1368no—
1923C22C2×#1058769114yes—
1924C22C2×#1058769112yes—
1925C222−1+4×D1712yes—
1926C22#1176364512yes—
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—342no—
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—42no—
1956C2—344no—
1957C2—682no—
1958C2—682no—
1959C2#1454298514yesdirect product factor
1960C2C22×#1058769111yescharacteristic
1961C2C2×2−1+4×D1711yescharacteristic
1962C2C2×#1176364511yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#547C2
socleC23×C17C25
hypercenterC2×#547D17
hypocenterC17C2×#3535
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#547

Complements

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

NH ≅ G/Ntype
1. #14542985C2direct (N × H)
2. C2×#11763560C2semidirect
3. C2×#11763558C2semidirect
4. C2×#11763556C2semidirect
5. C2×#11763554C2semidirect
6. C2×#11763514C2semidirect
7. C2×#11763513C2semidirect
8. C2×#11763496C2semidirect
9. C2×#11763494C2semidirect
10. C2×#11763488C2semidirect
11. C2×#11763488C2semidirect
12. C2×#11763487C2semidirect
13. C2×#11763482C2semidirect
14. C2×#11763458C2semidirect
15. C2×#11763448C2semidirect
16. C2×#11763447C2semidirect
17. C2×#11763436C2semidirect
18. C2×#11763434C2semidirect
19. C2×#11763429C2semidirect
20. C2×#11763427C2semidirect
21. C2×#11763406C2semidirect
22. C2×#11763404C2semidirect
23. C2×#11763402C2semidirect
24. C2×#11763401C2semidirect
25. C2×#11763401C2semidirect
26. C2×#11763391C2semidirect
27. C2×#11763381C2semidirect
28. C2×#11763380C2semidirect
29. C2×#11763316C2semidirect
30. C2×#123×D17C2semidirect
31. C22×#10587582C2semidirect
32. C2×C17×#547C2semidirect
34. C23×Dic34C22semidirect
37. #11763560C22semidirect
38. #11763558C22semidirect
39. #11763556C22semidirect
40. #11763554C22semidirect
41. #11763514C22semidirect
42. #11763513C22semidirect
43. #11763496C22semidirect
44. #11763494C22semidirect
45. #11763488C22semidirect
46. #11763488C22semidirect
47. #11763487C22semidirect
48. #11763482C22semidirect
49. #11763458C22semidirect
50. #11763448C22semidirect
51. #11763447C22semidirect
52. #11763436C22semidirect
53. #11763434C22semidirect
54. #11763429C22semidirect
55. #11763427C22semidirect
56. #11763406C22semidirect
57. #11763404C22semidirect
58. #11763402C22semidirect
59. #11763401C22semidirect
60. #11763401C22semidirect
61. #11763391C22semidirect
62. #11763381C22semidirect
63. #11763380C22semidirect
64. C2×#10587574C22semidirect
65. C2×#10587574C22semidirect
66. C2×#10587630C22semidirect
67. C2×#10587630C22semidirect
68. C2×#10587630C22semidirect
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×#10587565C22semidirect
81. C2×#10587556C22semidirect
82. C2×#10587576C22semidirect
83. C2×#10587576C22semidirect
84. C2×#10587575C22semidirect
85. C2×#10587575C22semidirect
86. C2×#10587575C22semidirect
87. C2×#10587575C22semidirect
88. C2×#10587575C22semidirect
89. C2×#10587575C22semidirect
90. C2×#10587575C22semidirect
92. C2×#10587622C22semidirect
93. C2×#10587622C22semidirect
95. C2×#10587571C22semidirect
96. C2×#10587571C22semidirect
97. C2×#10587571C22semidirect
98. C2×#10587571C22semidirect
99. #11763316C22semidirect
104. C2×#10587572C22semidirect
108. C2×#10587615C22semidirect
109. C2×#10587615C22semidirect
110. C2×#10587615C22semidirect
115. C2×#10587569C22semidirect
118. C2×#10587621C22semidirect
119. C2×#10587621C22semidirect
120. C2×#10587621C22semidirect
121. C2×#10587621C22semidirect
122. C2×#10587621C22semidirect
123. C2×#10587621C22semidirect
124. #123×D17C22semidirect
126. C2×#10587583C22semidirect
127. C2×#10587610C22semidirect
128. C2×#10587610C22semidirect
129. C2×#10587610C22semidirect
130. C2×#10587610C22semidirect
131. C2×#10587610C22semidirect
132. C2×#10587610C22semidirect
133. C2×#10587610C22semidirect
140. C2×#10587582C22semidirect
141. C2×#10587582C22semidirect
142. C2×#10587582C22semidirect
143. C2×#10587582C22semidirect
144. C2×#10587582C22semidirect
145. C2×#10587582C22semidirect
146. C2×#10587582C22semidirect
147. C2×#10587582C22semidirect
148. C2×#10587564C22semidirect
149. C2×#10587564C22semidirect
150. C2×#10587564C22semidirect
151. C2×#10587564C22semidirect
152. C2×#10587564C22semidirect
153. C2×#10587564C22semidirect
156. C2×#10587632C22semidirect
157. C2×#10587632C22semidirect
163. C2×#10587625C22semidirect
165. C2×#10587624C22semidirect
170. C2×#10587573C22semidirect
171. C2×#10587573C22semidirect
173. C2×D4×Dic17C22semidirect
179. C2×C4×C22⋊D17C22semidirect
180. C2×C4×C22⋊D17C22semidirect
181. C2×C4×C22⋊D17C22semidirect
184. C2×#10587612C22semidirect
185. C2×#10587612C22semidirect
187. C2×#10587578C22semidirect
189. C2×#10587563C22semidirect
190. C2×#10587563C22semidirect
191. C22×#63225C22semidirect
192. C22×#63225C22semidirect
193. C22×#63225C22semidirect
204. C22×#41×C17C22semidirect
205. C17×#547C22semidirect
206. C2×C17×C4⋊Q8C22semidirect
208. C2×C17×#123C22semidirect
209. C2×C17×#123C22semidirect
210. C2×C17×#123C22semidirect
211. C2×C17×C22⋊Q8C22semidirect
212. C2×C17×C22⋊Q8C22semidirect
214. C2×C17×#121C22semidirect
215. C2×C4×D4×C17C22semidirect
216. C2×C4×D4×C17C22semidirect
217. C22×C4⋊C4×C17C22semidirect
218. C22×C4⋊C4×C17C22semidirect
224. C2×#41×C17C23semidirect
279. C22×Dic34C23semidirect
280. C17×C4⋊Q8C23semidirect
282. C17×#123C23semidirect
283. C17×#123C23semidirect
284. C17×#123C23semidirect
285. C17×C22⋊Q8C23semidirect
286. C17×C22⋊Q8C23semidirect
288. C17×#121C23semidirect
289. C4×D4×C17C23semidirect
290. C4×D4×C17C23semidirect
301. C2×C4⋊C4×C17C23semidirect
302. C2×C4⋊C4×C17C23semidirect
331. #10587632C23semidirect
332. #10587632C23semidirect
333. #10587630C23semidirect
334. #10587630C23semidirect
335. #10587630C23semidirect
339. #10587625C23semidirect
341. #10587624C23semidirect
346. #10587622C23semidirect
347. #10587622C23semidirect
350. #10587621C23semidirect
351. #10587621C23semidirect
352. #10587621C23semidirect
353. #10587621C23semidirect
354. #10587621C23semidirect
355. #10587621C23semidirect
357. D4×Dic17C23semidirect
362. #10587615C23semidirect
363. #10587615C23semidirect
364. #10587615C23semidirect
370. C4×C22⋊D17C23semidirect
371. C4×C22⋊D17C23semidirect
372. C4×C22⋊D17C23semidirect
398. #10587612C23semidirect
399. #10587612C23semidirect
410. #10587610C23semidirect
411. #10587610C23semidirect
412. #10587610C23semidirect
413. #10587610C23semidirect
414. #10587610C23semidirect
415. #10587610C23semidirect
416. #10587610C23semidirect
447. C2×#63225C23semidirect
448. C2×#63225C23semidirect
449. C2×#63225C23semidirect
459. #10587584C23semidirect
460. #10587584C23semidirect
461. #10587584C23semidirect
462. #10587584C23semidirect
463. #10587584C23semidirect
465. #10587583C23semidirect
472. #10587582C23semidirect
473. #10587582C23semidirect
474. #10587582C23semidirect
475. #10587582C23semidirect
476. #10587582C23semidirect
477. #10587582C23semidirect
478. #10587582C23semidirect
483. #10587578C23semidirect
486. #10587576C23semidirect
487. #10587576C23semidirect
488. #10587575C23semidirect
489. #10587575C23semidirect
490. #10587575C23semidirect
491. #10587575C23semidirect
492. #10587575C23semidirect
493. #10587575C23semidirect
494. #10587575C23semidirect
495. #10587574C23semidirect
496. #10587574C23semidirect
497. #10587573C23semidirect
498. #10587573C23semidirect
500. #10587572C23semidirect
502. #10587571C23semidirect
503. #10587571C23semidirect
504. #10587571C23semidirect
505. #10587571C23semidirect
511. #10587569C23semidirect
518. #10587565C23semidirect
519. #10587565C23semidirect
520. #10587565C23semidirect
521. #10587565C23semidirect
522. #10587565C23semidirect
523. #10587564C23semidirect
524. #10587564C23semidirect
525. #10587564C23semidirect
526. #10587564C23semidirect
527. #10587564C23semidirect
528. #10587564C23semidirect
529. #10587563C23semidirect
530. #10587563C23semidirect
531. #10587562C23semidirect
532. #10587562C23semidirect
534. #10587556C23semidirect
927. C2×#547D17semidirect
1005. C22×#41C2×D17semidirect
1022. #547C2×D17semidirect
1042. C2×C4⋊Q8C2×D17semidirect
1100. C2×#123C2×D17semidirect
1101. C2×#123C2×D17semidirect
1102. C2×#123C2×D17semidirect
1136. C2×C22⋊Q8C2×D17semidirect
1137. C2×C22⋊Q8C2×D17semidirect
1147. C2×#121C2×D17semidirect
1166. C2×C4×D4C2×D17semidirect
1167. C2×C4×D4C2×D17semidirect
1180. C22×C4⋊C4C2×D17semidirect
1181. C22×C4⋊C4C2×D17semidirect
1193. C2×C17#3535semidirect
1207. C2×#41C22×D17semidirect
1266. C4⋊Q8C22×D17semidirect
1322. #123C22×D17semidirect
1323. #123C22×D17semidirect
1324. #123C22×D17semidirect
1357. C22⋊Q8C22×D17semidirect
1358. C22⋊Q8C22×D17semidirect
1368. #121C22×D17semidirect
1387. C4×D4C22×D17semidirect
1388. C4×D4C22×D17semidirect
1451. C2×C4⋊C4C22×D17semidirect
1452. C2×C4⋊C4C22×D17semidirect
1516. C17C2×#3535semidirect
1959. C2#14542985direct (N × H)

Maximal subgroups

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

subgroupindex
#145429852
C2×#117635602
C2×#117635582
C2×#117635562
C2×#117635542
C2×#117635142
C2×#117635132
C2×#117634962
C2×#117634942
C2×#117634882
C2×#117634872
C2×#117634822
C2×#117634582
C2×#117634482
C2×#117634472
C2×#117634362
C2×#117634342
C2×#117634292
C2×#117634272
C2×#117634062
C2×#117634042
C2×#117634022
C2×#117634012
C2×#117633912
C2×#117633812
C2×#117633802
C2×#117633162
C2×#123×D172
C22×#105875822
C2×C17×#5472
C2×#353517