Finite Group Databasebeta

← C2×#14543409 #17941711

Subgroups — C2×#14543409 #17941711

Order 4352.

6598 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543409C2132yesmaximal, direct product factor
2C2×#11763562C211yesmaximal, characteristic, complemented
3C2×#11763560C211yesmaximal, characteristic, complemented
4C2×#11763560C211yesmaximal, characteristic, complemented
5C2×#11763559C211yesmaximal, characteristic, complemented
6C2×#11763528C211yesmaximal, characteristic, complemented
7C2×#11763526C211yesmaximal, characteristic, complemented
8C2×#11763517C211yesmaximal, characteristic, complemented
9C2×#11763513C211yesmaximal, characteristic, complemented
10C2×#11763499C211yesmaximal, characteristic, complemented
11C2×#11763498C211yesmaximal, characteristic, complemented
12C2×#11763495C211yesmaximal, characteristic, complemented
13C2×#11763492C211yesmaximal, characteristic, complemented
14C2×#11763489C211yesmaximal, characteristic, complemented
15C2×#11763489C211yesmaximal, characteristic, complemented
16C2×#11763488C211yesmaximal, characteristic, complemented
17C2×#11763482C211yesmaximal, characteristic, complemented
18C2×#11763436C211yesmaximal, characteristic, complemented
19C2×#11763434C211yesmaximal, characteristic, complemented
20C2×#11763423C211yesmaximal, characteristic, complemented
21C2×#11763420C211yesmaximal, characteristic, complemented
22C2×#11763419C211yesmaximal, characteristic, complemented
23C2×#11763417C211yesmaximal, characteristic, complemented
24C2×#11763416C211yesmaximal, characteristic, complemented
25C2×#11763404C211yesmaximal, characteristic, complemented
26C2×#11763403C211yesmaximal, characteristic, complemented
27C2×#11763402C211yesmaximal, characteristic, complemented
28C2×#11763391C211yesmaximal, characteristic
29C2×#11763363C211yesmaximal, characteristic, complemented
30C2×#11763338C211yesmaximal, characteristic, complemented
31C2×#126×D17C211yesmaximal, characteristic, complemented
32C2×C17×#542C211yesmaximal, characteristic, complemented
33#11763562C22116yescomplemented
34#11763560C22116yescomplemented
35#11763560C22116yescomplemented
36#11763559C22116yescomplemented
37#11763528C22116yescomplemented
38#11763526C22116yescomplemented
39#11763517C22116yescomplemented
40#11763513C22116yescomplemented
41#11763499C22116yescomplemented
42#11763498C22116yescomplemented
43#11763495C22116yescomplemented
44#11763492C22116yescomplemented
45#11763489C22116yescomplemented
46#11763489C22116yescomplemented
47#11763488C22116yescomplemented
48#11763482C22116yescomplemented
49#11763436C22116yescomplemented
50#11763434C22116yescomplemented
51#11763423C22116yescomplemented
52#11763420C22116yescomplemented
53#11763419C22116yescomplemented
54#11763417C22116yescomplemented
55#11763416C22116yescomplemented
56#11763404C22116yescomplemented
57#11763403C22116yescomplemented
58#11763402C22116yescomplemented
59#11763391C22116yes—
60#11763363C22116yescomplemented
61C2×#10587574C2211yescharacteristic, complemented
62C2×#10587574C2211yescharacteristic, complemented
63C2×#10587574C2211yescharacteristic, complemented
64C2×#10587630C2211yescharacteristic, complemented
65C2×#10587630C2211yescharacteristic, complemented
66C2×#10587630C2211yescharacteristic, complemented
67C2×#10587630C2211yescharacteristic, complemented
68#11763338C22116yescomplemented
69C2×#10587584C2211yescharacteristic
70C2×#10587584C2211yescharacteristic
71C2×#10587584C2211yescharacteristic
72C2×#10587584C2211yescharacteristic
73C2×#10587584C2211yescharacteristic
74C2×#10587584C2211yescharacteristic
75C2×#10587584C2211yescharacteristic
76C2×#10587562C2211yescharacteristic
77C2×#10587562C2211yescharacteristic
78C2×#10587565C2211yescharacteristic
79C2×#10587565C2211yescharacteristic
80C2×#10587565C2211yescharacteristic
81C2×#10587565C2211yescharacteristic
82C2×#10587565C2211yescharacteristic
83C2×#10587565C2211yescharacteristic
84C2×#10587565C2211yescharacteristic
85C2×#10587565C2211yescharacteristic
86C2×#10587565C2211yescharacteristic, complemented
87C2×#10587565C2211yescharacteristic, complemented
88C2×#10587565C2211yescharacteristic, complemented
89C2×#10587565C2211yescharacteristic, complemented
90C2×#10587565C2211yescharacteristic, complemented
91C2×#10587565C2211yescharacteristic, complemented
92C2×#10587565C2211yescharacteristic, complemented
93#126×D17C22116yescomplemented
94C2×#10587556C2211yescharacteristic, complemented
95C2×#10587556C2211yescharacteristic, complemented
96C2×#10587556C2211yescharacteristic, complemented
97C2×#10587556C2211yescharacteristic, complemented
98C2×#10587576C2211yescharacteristic, complemented
99C2×#10587576C2211yescharacteristic, complemented
100C2×#10587576C2211yescharacteristic, complemented
101C2×#10587576C2211yescharacteristic, complemented
102C2×#10587575C2211yescharacteristic, complemented
103C2×#10587575C2211yescharacteristic, complemented
104C2×#10587575C2211yescharacteristic, complemented
105C2×#10587575C2211yescharacteristic, complemented
106C2×#10587575C2211yescharacteristic, complemented
107C2×#10587575C2211yescharacteristic, complemented
108C2×#10587575C2211yescharacteristic, complemented
109C2×#10587575C2211yescharacteristic, complemented
110C2×#10587575C2211yescharacteristic, complemented
111C2×#10587575C2211yescharacteristic, complemented
112C2×#10587575C2211yescharacteristic, complemented
113C2×#10587622C2211yescharacteristic
114C2×#10587571C2211yescharacteristic
115C2×#10587571C2211yescharacteristic
116C2×#10587571C2211yescharacteristic
117C2×#10587572C2211yescharacteristic
118C2×#10587615C2211yescharacteristic
119C2×#10587615C2211yescharacteristic
120C2×#10587569C2211yescharacteristic
121C2×#10587569C2211yescharacteristic
122C2×#10587569C2211yescharacteristic
123C2×#10587569C2211yescharacteristic
124C2×#10587569C2211yescharacteristic
125C2×#10587569C2211yescharacteristic
126C2×#10587621C2211yescharacteristic
127C2×#10587621C2211yescharacteristic
128C2×#10587621C2211yescharacteristic
129C2×#10587621C2211yescharacteristic
130C2×#10587621C2211yescharacteristic, complemented
131C2×#10587583C2211yescharacteristic
132C2×#10587583C2211yescharacteristic
133C2×#10587583C2211yescharacteristic
134C2×#10587610C2211yescharacteristic
135C2×#10587610C2211yescharacteristic
136C2×#10587610C2211yescharacteristic, complemented
137C2×#10587610C2211yescharacteristic, complemented
138C2×#10587582C2211yescharacteristic
139C2×#10587582C2211yescharacteristic
140C2×#10587582C2211yescharacteristic
141C2×#10587582C2211yescharacteristic
142C2×#10587582C2211yescharacteristic
143C2×#10587582C2211yescharacteristic
144C2×#10587564C2211yescharacteristic
145C2×#10587564C2211yescharacteristic
146C2×#10587564C2211yescharacteristic
147C2×#10587564C2211yescharacteristic, complemented
148C2×#10587564C2211yescharacteristic, complemented
149C2×#10587564C2211yescharacteristic, complemented
150C2×#10587564C2211yescharacteristic, complemented
151C2×#10587564C2211yescharacteristic, complemented
152C2×#10587564C2211yescharacteristic, complemented
153C2×#10587632C2211yescharacteristic
154C2×#10587632C2211yescharacteristic
155C2×#10587632C2211yescharacteristic
156C2×#10587632C2211yescharacteristic
157C2×#10587632C2211yescharacteristic
158C2×#10587632C2211yescharacteristic
159C2×#10587625C2211yescharacteristic
160C2×#10587624C2211yescharacteristic
161C2×#10587623C2211yescharacteristic
162C2×#10587623C2211yescharacteristic
163C2×Q8×Dic17C2211yescharacteristic, complemented
164C2×Q8×Dic17C2211yescharacteristic, complemented
165C2×C4×Dic34C2211yescharacteristic, complemented
166C2×C4×Dic34C2211yescharacteristic, complemented
167C2×C4×Dic34C2211yescharacteristic, complemented
168C2×C4×Dic34C2211yescharacteristic, complemented
169C2×#10587573C2211yescharacteristic, complemented
170C2×#10587573C2211yescharacteristic, complemented
171C2×D4×Dic17C2211yescharacteristic
172C2×D4×Dic17C2211yescharacteristic, complemented
173C2×C4×C22⋊D17C2211yescharacteristic
174C2×C4×C22⋊D17C2211yescharacteristic
175C2×#10587567C2211yescharacteristic
176C2×#10587567C2211yescharacteristic
177C2×#10587567C2211yescharacteristic
178C2×#10587567C2211yescharacteristic
179C2×#10587567C2211yescharacteristic
180C2×#10587567C2211yescharacteristic
181C2×#10587612C2211yescharacteristic
182C2×#10587578C2211yescharacteristic
183C2×#10587558C2211yescharacteristic
184C2×#10587558C2211yescharacteristic
185C2×#10587558C2211yescharacteristic
186C2×#10587558C2211yescharacteristic
187C2×#10587558C2211yescharacteristic
188C2×#10587563C2211yescharacteristic
189C2×#10587563C2211yescharacteristic, complemented
190C2×#10587563C2211yescharacteristic, complemented
191C2×#10587563C2211yescharacteristic, complemented
192C22×C4⋊Dic17C2211yescharacteristic, complemented
193C22×#63225C2211yescharacteristic, complemented
194C2×C4⋊C4×D17C2211yescharacteristic
195C2×C4⋊C4×D17C2211yescharacteristic
196C2×C4⋊C4×D17C2211yescharacteristic
197C22×#63227C2211yescharacteristic
198C2×C22⋊C4×D17C2211yescharacteristic
199C2×C22⋊C4×D17C2211yescharacteristic
200C2×C22⋊C4×D17C2211yescharacteristic
201C2×C22⋊C4×D17C2211yescharacteristic
202C2×C42×D17C2211yescharacteristic
203C17×#542C22116yescomplemented
204C2×C17×C4⋊Q8C2211yescharacteristic, complemented
205C2×C17×#126C2211yescharacteristic
206C2×C17×#126C2211yescharacteristic, complemented
207C2×C17×#124C2211yescharacteristic
208C2×C17×#124C2211yescharacteristic
209C2×C17×#124C2211yescharacteristic, complemented
210C2×C17×#123C2211yescharacteristic
211C2×C17×#123C2211yescharacteristic, complemented
212C2×C17×C22⋊Q8C2211yescharacteristic
213C2×C17×C22⋊Q8C2211yescharacteristic, complemented
214C2×C17×C22⋊Q8C2211yescharacteristic, complemented
215C2×C17×#121C2211yescharacteristic
216C2×C4×Q8×C17C2211yescharacteristic, complemented
217C2×C4×D4×C17C2211yescharacteristic
218C2×C17×#117C2211yescharacteristic, complemented
219C24×D17C2311yescharacteristic
220C22×Q8×C17C2311yescharacteristic
221C22×Q8×C17C2311yescharacteristic
222C22×Q8×C17C2311yescharacteristic
223C22×D4×C17C2311yescharacteristic
224C22×D4×C17C2311yescharacteristic
225C22×D4×C17C2311yescharacteristic
226C23×C4×C17C2311yescharacteristic
227C23×C4×C17C2311yescharacteristic
228C23×C4×C17C2311yescharacteristic
229C22×C22⋊D17C2311yescharacteristic
230C22×C22⋊D17C2311yescharacteristic
231C22×C22⋊D17C2311yescharacteristic
232C22×C22⋊D17C2311yescharacteristic
233C23×Dic17C2311yescharacteristic
234C23×Dic17C2311yescharacteristic
235C23×Dic17C2311yescharacteristic
236C23×Dic17C2311yescharacteristic
237C23×Dic17C2311yescharacteristic
238C22×C4×D17C2311yescharacteristic
239C22×C4×D17C2311yescharacteristic
240C22×C4×D17C2311yescharacteristic
241C22×C4×D17C2311yescharacteristic
242C22×C4×D17C2311yescharacteristic
243C22×C4×D17C2311yescharacteristic
244C22×C4×D17C2311yescharacteristic
245C22×C4×D17C2311yescharacteristic
246C22×Dic34C2311yescharacteristic
247C22×Dic34C2311yescharacteristic
248C22×Dic34C2311yescharacteristic
249C22×Dic34C2311yescharacteristic
250C22×Dic34C2311yescharacteristic
251C22×Dic34C2311yescharacteristic
252C17×C4⋊Q8C2318yescomplemented
253C17×#126C2318yes—
254C17×#126C2318yescomplemented
255C17×#124C2318yes—
256C17×#124C2318yes—
257C17×#124C2318yescomplemented
258C17×#123C2318yes—
259C17×#123C2318yescomplemented
260C17×C22⋊Q8C2318yes—
261C17×C22⋊Q8C2318yescomplemented
262C17×C22⋊Q8C2318yescomplemented
263C17×#121C2318yes—
264C4×Q8×C17C2318yescomplemented
265C4×D4×C17C2318yes—
266C17×#117C2318yescomplemented
267C2×C4⋊C4×C17C2311yescharacteristic
268C2×C4⋊C4×C17C2311yescharacteristic
269C2×C4⋊C4×C17C2311yescharacteristic
270C2×C4⋊C4×C17C2311yescharacteristic
271C2×C4⋊C4×C17C2311yescharacteristic
272C2×C4⋊C4×C17C2311yescharacteristic
273C2×C4⋊C4×C17C2311yescharacteristic
274C2×C4⋊C4×C17C2311yescharacteristic
275C2×C4⋊C4×C17C2311yescharacteristic
276C2×C4⋊C4×C17C2311yescharacteristic
277C2×C22⋊C4×C17C2311yescharacteristic
278C2×C22⋊C4×C17C2311yescharacteristic
279C2×C22⋊C4×C17C2311yescharacteristic
280C2×C22⋊C4×C17C2311yescharacteristic
281C2×C22⋊C4×C17C2311yescharacteristic
282C2×C22⋊C4×C17C2311yescharacteristic
283C2×C22⋊C4×C17C2311yescharacteristic
284C2×C22⋊C4×C17C2311yescharacteristic
285C2×C22⋊C4×C17C2311yescharacteristic
286C2×C22⋊C4×C17C2311yescharacteristic
287C2×C22⋊C4×C17C2311yescharacteristic
288C2×C22⋊C4×C17C2311yescharacteristic
289C2×C42×C17C2311yescharacteristic
290C2×C42×C17C2311yescharacteristic
291C2×C42×C17C2311yescharacteristic
292C2×C42×C17C2311yescharacteristic
293C2×C22⋊Dic17C2311yescharacteristic
294C2×C22⋊Dic17C2311yescharacteristic
295C2×C22⋊Dic17C2311yescharacteristic
296C2×C22⋊Dic17C2311yescharacteristic
297C2×C22⋊Dic17C2311yescharacteristic
298C2×C22⋊Dic17C2311yescharacteristic
299C2×C22⋊Dic17C2311yescharacteristic
300C2×C22⋊Dic17C2311yescharacteristic
301C2×C22⋊Dic17C2311yescharacteristic
302C2×C22⋊Dic17C2311yescharacteristic
303C2×C22⋊Dic17C2311yescharacteristic
304C2×C22⋊Dic17C2311yescharacteristic
305C2×C22⋊Dic17C2311yescharacteristic
306C2×C22⋊Dic17C2311yescharacteristic
307#10587632C2318yes—
308#10587632C2318yes—
309#10587632C2318yes—
310#10587632C2318yes—
311#10587632C2318yes—
312#10587632C2318yes—
313Q8×Dic17C2318yescomplemented
314Q8×Dic17C2318yescomplemented
315#10587630C2318yescomplemented
316#10587630C2318yescomplemented
317#10587630C2318yescomplemented
318#10587630C2318yescomplemented
319#10587625C2318yes—
320#10587624C2318yes—
321#10587623C2318yes—
322#10587623C2318yes—
323#10587622C2318yes—
324#10587621C2318yes—
325#10587621C2318yes—
326#10587621C2318yes—
327#10587621C2318yes—
328#10587621C2318yescomplemented
329D4×Dic17C2318yes—
330D4×Dic17C2318yescomplemented
331#10587615C2318yes—
332#10587615C2318yes—
333C4×C22⋊D17C2318yes—
334C4×C22⋊D17C2318yes—
335C2×#63227C2318yes—
336C2×#63227C2311yescharacteristic
337C2×#63227C2311yescharacteristic
338C2×#63227C2311yescharacteristic
339C2×#63227C2311yescharacteristic
340C2×#63227C2311yescharacteristic
341C2×#63227C2311yescharacteristic
342C2×#63227C2311yescharacteristic
343C2×#63227C2311yescharacteristic
344C2×#63227C2311yescharacteristic
345C2×#63227C2311yescharacteristic
346C2×#63227C2311yescharacteristic
347C2×#63227C2311yescharacteristic
348C2×#63227C2311yescharacteristic
349C2×#63227C2311yescharacteristic
350C2×#63227C2311yescharacteristic
351C2×#63227C2311yescharacteristic
352#10587612C2318yes—
353C2×C4⋊Dic17C2311yescharacteristic
354C2×C4⋊Dic17C2311yescharacteristic
355C2×C4⋊Dic17C2311yescharacteristic
356C2×C4⋊Dic17C2311yescharacteristic
357C2×C4⋊Dic17C2311yescharacteristic
358C2×C4⋊Dic17C2311yescharacteristic
359C2×C4⋊Dic17C2311yescharacteristic
360C2×C4⋊Dic17C2311yescharacteristic
361C2×C4⋊Dic17C2311yescharacteristic
362C2×C4⋊Dic17C2311yescharacteristic
363C2×C4⋊Dic17C2311yescharacteristic
364C2×C4⋊Dic17C2311yescharacteristic
365C2×C4⋊Dic17C2311yescharacteristic
366C2×C4⋊Dic17C2311yescharacteristic
367C2×C4⋊Dic17C2311yescharacteristic
368C2×C4⋊Dic17C2311yescharacteristic
369C2×C4⋊Dic17C2318yescomplemented
370#10587610C2318yes—
371#10587610C2318yes—
372#10587610C2318yescomplemented
373#10587610C2318yescomplemented
374C2×#63225C2311yescharacteristic
375C2×#63225C2311yescharacteristic
376C2×#63225C2311yescharacteristic
377C2×#63225C2311yescharacteristic
378C2×#63225C2311yescharacteristic
379C2×#63225C2311yescharacteristic
380C2×#63225C2311yescharacteristic
381C2×#63225C2311yescharacteristic
382C2×#63225C2311yescharacteristic
383C2×#63225C2311yescharacteristic
384C2×#63225C2311yescharacteristic
385C2×#63225C2311yescharacteristic
386C2×#63225C2311yescharacteristic
387C2×#63225C2311yescharacteristic
388C2×#63225C2311yescharacteristic
389C2×#63225C2311yescharacteristic
390C2×#63225C2311yescharacteristic
391C2×#63225C2311yescharacteristic
392C2×#63225C2311yescharacteristic
393C2×#63225C2311yescharacteristic
394C2×#63225C2311yescharacteristic
395C2×#63225C2311yescharacteristic
396C2×#63225C2311yescharacteristic
397C2×#63225C2311yescharacteristic
398C2×#63225C2311yescharacteristic
399C2×#63225C2311yescharacteristic
400C2×#63225C2311yescharacteristic
401C2×#63225C2311yescharacteristic
402C2×#63225C2311yescharacteristic
403C2×#63225C2311yescharacteristic
404C2×#63225C2311yescharacteristic
405C2×#63225C2311yescharacteristic
406C2×#63225C2311yescharacteristic
407C2×#63225C2311yescharacteristic
408C2×#63225C2311yescharacteristic
409C2×#63225C2311yescharacteristic
410C2×#63225C2318yescomplemented
411C2×C4×Dic17C2311yescharacteristic
412C2×C4×Dic17C2311yescharacteristic
413C2×C4×Dic17C2311yescharacteristic
414C2×C4×Dic17C2311yescharacteristic
415C2×C4×Dic17C2311yescharacteristic
416C2×C4×Dic17C2311yescharacteristic
417C2×C4×Dic17C2311yescharacteristic
418C2×C4×Dic17C2311yescharacteristic
419C2×C4×Dic17C2311yescharacteristic
420C2×C4×Dic17C2311yescharacteristic
421C2×C4×Dic17C2311yescharacteristic
422C2×C4×Dic17C2311yescharacteristic
423C2×C4×Dic17C2311yescharacteristic
424C2×C4×Dic17C2311yescharacteristic
425#10587584C2318yes—
426#10587584C2318yes—
427#10587584C2318yes—
428#10587584C2318yes—
429#10587584C2318yes—
430#10587584C2318yes—
431#10587584C2318yes—
432#10587583C2318yes—
433#10587583C2318yes—
434#10587583C2318yes—
435#10587582C2318yes—
436#10587582C2318yes—
437#10587582C2318yes—
438#10587582C2318yes—
439#10587582C2318yes—
440#10587582C2318yes—
441#10587578C2318yes—
442C4⋊C4×D17C2318yes—
443C4⋊C4×D17C2318yes—
444C4⋊C4×D17C2318yes—
445#10587576C2318yescomplemented
446#10587576C2318yescomplemented
447#10587576C2318yescomplemented
448#10587576C2318yescomplemented
449#10587575C2318yescomplemented
450#10587575C2318yescomplemented
451#10587575C2318yescomplemented
452#10587575C2318yescomplemented
453#10587575C2318yescomplemented
454#10587575C2318yescomplemented
455#10587575C2318yescomplemented
456#10587575C2318yescomplemented
457#10587575C2318yescomplemented
458#10587575C2318yescomplemented
459#10587575C2318yescomplemented
460#10587574C2318yescomplemented
461#10587574C2318yescomplemented
462#10587574C2318yescomplemented
463#10587573C2318yescomplemented
464#10587573C2318yescomplemented
465#10587572C2318yes—
466#10587571C2318yes—
467#10587571C2318yes—
468#10587571C2318yes—
469#10587569C2318yes—
470#10587569C2318yes—
471#10587569C2318yes—
472#10587569C2318yes—
473#10587569C2318yes—
474#10587569C2318yes—
475#10587567C2318yes—
476#10587567C2318yes—
477#10587567C2318yes—
478#10587567C2318yes—
479#10587567C2318yes—
480#10587567C2318yes—
481C22⋊C4×D17C2318yes—
482C22⋊C4×D17C2318yes—
483C22⋊C4×D17C2318yes—
484C22⋊C4×D17C2318yes—
485#10587565C2318yes—
486#10587565C2318yes—
487#10587565C2318yes—
488#10587565C2318yes—
489#10587565C2318yes—
490#10587565C2318yes—
491#10587565C2318yes—
492#10587565C2318yes—
493#10587565C2318yescomplemented
494#10587565C2318yescomplemented
495#10587565C2318yescomplemented
496#10587565C2318yescomplemented
497#10587565C2318yescomplemented
498#10587565C2318yescomplemented
499#10587565C2318yescomplemented
500#10587564C2318yes—
501#10587564C2318yes—
502#10587564C2318yes—
503#10587564C2318yescomplemented
504#10587564C2318yescomplemented
505#10587564C2318yescomplemented
506#10587564C2318yescomplemented
507#10587564C2318yescomplemented
508#10587564C2318yescomplemented
509#10587563C2318yes—
510#10587563C2318yescomplemented
511#10587563C2318yescomplemented
512#10587563C2318yescomplemented
513#10587562C2318yes—
514#10587562C2318yes—
515#10587558C2318yes—
516#10587558C2318yes—
517#10587558C2318yes—
518#10587558C2318yes—
519#10587558C2318yes—
520C42×D17C2318yes—
521#10587556C2318yescomplemented
522#10587556C2318yescomplemented
523#10587556C2318yescomplemented
524#10587556C2318yescomplemented
525C4×Dic34C2318yescomplemented
526C4×Dic34C2318yescomplemented
527C4×Dic34C2318yescomplemented
528C4×Dic34C2318yescomplemented
529C24×C17C2411yescharacteristic
530C24×C17C2411yescharacteristic
531C24×C17C2411yescharacteristic
532C23×D17—24no—
533C23×D17—42no—
534C23×D17—42no—
535C23×D17C2411yescharacteristic
536C23×D17C2411yescharacteristic
537C23×D17C2414yes—
538C2×Q8×C17—42no—
539C2×Q8×C17—42no—
540C2×Q8×C17—42no—
541C2×Q8×C17C2414yes—
542C2×Q8×C17C2414yes—
543C2×Q8×C17C2414yes—
544C2×D4×C17—42no—
545C2×D4×C17—42no—
546C2×D4×C17—42no—
547C2×D4×C17C2414yes—
548C2×D4×C17C2414yes—
549C2×D4×C17C2414yes—
550C22×C4×C17—42no—
551C22×C4×C17—42no—
552C22×C4×C17—42no—
553C22×C4×C17C2411yescharacteristic
554C22×C4×C17C2411yescharacteristic
555C22×C4×C17C2411yescharacteristic
556C22×C4×C17C2411yescharacteristic
557C22×C4×C17C2411yescharacteristic
558C22×C4×C17C2411yescharacteristic
559C22×C4×C17C2411yescharacteristic
560C22×C4×C17C2411yescharacteristic
561C22×C4×C17C2411yescharacteristic
562C22×C4×C17C2411yescharacteristic
563C22×C4×C17C2411yescharacteristic
564C22×C4×C17C2411yescharacteristic
565C22×C4×C17C2414yes—
566C22×C4×C17C2414yes—
567C22×C4×C17C2414yes—
568C2×C22⋊D17—24no—
569C2×C22⋊D17—24no—
570C2×C22⋊D17—42no—
571C2×C22⋊D17—42no—
572C2×C22⋊D17C2414yes—
573C2×C22⋊D17C2414yes—
574C2×C22⋊D17C2414yes—
575C2×C22⋊D17C2414yes—
576C22×Dic17—42no—
577C22×Dic17—42no—
578C22×Dic17—42no—
579C22×Dic17—42no—
580C22×Dic17—42no—
581C22×Dic17C2411yescharacteristic
582C22×Dic17C2411yescharacteristic
583C22×Dic17C2411yescharacteristic
584C22×Dic17C2411yescharacteristic
585C22×Dic17C2411yescharacteristic
586C22×Dic17C2411yescharacteristic
587C22×Dic17C2411yescharacteristic
588C22×Dic17C2411yescharacteristic
589C22×Dic17C2411yescharacteristic
590C22×Dic17C2411yescharacteristic
591C22×Dic17C2411yescharacteristic
592C22×Dic17C2411yescharacteristic
593C22×Dic17C2411yescharacteristic
594C22×Dic17C2411yescharacteristic
595C22×Dic17C2414yes—
596C22×Dic17C2414yes—
597C22×Dic17C2414yes—
598C22×Dic17C2414yes—
599C22×Dic17C2414yes—
600C2×C4×D17—24no—
601C2×C4×D17—24no—
602C2×C4×D17—42no—
603C2×C4×D17—42no—
604C2×C4×D17—42no—
605C2×C4×D17—42no—
606C2×C4×D17—42no—
607C2×C4×D17—42no—
608C2×C4×D17C2414yes—
609C2×C4×D17C2414yes—
610C2×C4×D17C2414yes—
611C2×C4×D17C2414yes—
612C2×C4×D17C2414yes—
613C2×C4×D17C2414yes—
614C2×C4×D17C2414yes—
615C2×C4×D17C2414yes—
616C2×Dic34—42no—
617C2×Dic34—42no—
618C2×Dic34—42no—
619C2×Dic34—42no—
620C2×Dic34—42no—
621C2×Dic34—42no—
622C2×Dic34C2414yes—
623C2×Dic34C2414yes—
624C2×Dic34C2414yes—
625C2×Dic34C2414yes—
626C2×Dic34C2414yes—
627C2×Dic34C2414yes—
628C4⋊C4×C17C2414yes—
629C4⋊C4×C17C2414yes—
630C4⋊C4×C17C2414yes—
631C4⋊C4×C17C2414yes—
632C4⋊C4×C17C2414yes—
633C4⋊C4×C17C2414yes—
634C4⋊C4×C17C2414yes—
635C4⋊C4×C17C2414yes—
636C4⋊C4×C17C2414yes—
637C4⋊C4×C17C2414yes—
638C22⋊C4×C17C2414yes—
639C22⋊C4×C17C2414yes—
640C22⋊C4×C17C2414yes—
641C22⋊C4×C17C2414yes—
642C22⋊C4×C17C2414yes—
643C22⋊C4×C17C2414yes—
644C22⋊C4×C17C2414yes—
645C22⋊C4×C17C2414yes—
646C22⋊C4×C17C2414yes—
647C22⋊C4×C17C2414yes—
648C22⋊C4×C17C2414yes—
649C22⋊C4×C17C2414yes—
650C42×C17C2414yes—
651C42×C17C2414yes—
652C42×C17C2414yes—
653C42×C17C2414yes—
654C22⋊Dic17C2414yes—
655C22⋊Dic17C2414yes—
656C22⋊Dic17C2414yes—
657C22⋊Dic17C2414yes—
658C22⋊Dic17C2414yes—
659C22⋊Dic17C2414yes—
660C22⋊Dic17C2414yes—
661C22⋊Dic17C2414yes—
662C22⋊Dic17C2414yes—
663C22⋊Dic17C2414yes—
664C22⋊Dic17C2414yes—
665C22⋊Dic17C2414yes—
666C22⋊Dic17C2414yes—
667C22⋊Dic17C2414yes—
668#63227C2414yes—
669#63227C2414yes—
670#63227C2414yes—
671#63227C2414yes—
672#63227C2414yes—
673#63227C2414yes—
674#63227C2414yes—
675#63227C2414yes—
676#63227C2414yes—
677#63227C2414yes—
678#63227C2414yes—
679#63227C2414yes—
680#63227C2414yes—
681#63227C2414yes—
682#63227C2414yes—
683#63227C2414yes—
684C4⋊Dic17C2414yes—
685C4⋊Dic17C2414yes—
686C4⋊Dic17C2414yes—
687C4⋊Dic17C2414yes—
688C4⋊Dic17C2414yes—
689C4⋊Dic17C2414yes—
690C4⋊Dic17C2414yes—
691C4⋊Dic17C2414yes—
692C4⋊Dic17C2414yes—
693C4⋊Dic17C2414yes—
694C4⋊Dic17C2414yes—
695C4⋊Dic17C2414yes—
696C4⋊Dic17C2414yes—
697C4⋊Dic17C2414yes—
698C4⋊Dic17C2414yes—
699C4⋊Dic17C2414yes—
700#63225C2414yes—
701#63225C2414yes—
702#63225C2414yes—
703#63225C2414yes—
704#63225C2414yes—
705#63225C2414yes—
706#63225C2414yes—
707#63225C2414yes—
708#63225C2414yes—
709#63225C2414yes—
710#63225C2414yes—
711#63225C2414yes—
712#63225C2414yes—
713#63225C2414yes—
714#63225C2414yes—
715#63225C2414yes—
716#63225C2414yes—
717#63225C2414yes—
718#63225C2414yes—
719#63225C2414yes—
720#63225C2414yes—
721#63225C2414yes—
722#63225C2414yes—
723#63225C2414yes—
724#63225C2414yes—
725#63225C2414yes—
726#63225C2414yes—
727#63225C2414yes—
728#63225C2414yes—
729#63225C2414yes—
730#63225C2414yes—
731#63225C2414yes—
732#63225C2414yes—
733#63225C2414yes—
734#63225C2414yes—
735#63225C2414yes—
736C4×Dic17C2414yes—
737C4×Dic17C2414yes—
738C4×Dic17C2414yes—
739C4×Dic17C2414yes—
740C4×Dic17C2414yes—
741C4×Dic17C2414yes—
742C4×Dic17C2414yes—
743C4×Dic17C2414yes—
744C4×Dic17C2414yes—
745C4×Dic17C2414yes—
746C4×Dic17C2414yes—
747C4×Dic17C2414yes—
748C4×Dic17C2414yes—
749C4×Dic17C2414yes—
750C2×#3564—171nomaximal, Sylow
751C23×C17—22no—
752C23×C17—22no—
753C23×C17—22no—
754C23×C17—22no—
755C23×C17—22no—
756C23×C17—22no—
757C23×C17—22no—
758C23×C17—22no—
759C23×C17—22no—
760C23×C17C2512yes—
761C23×C17C2512yes—
762C23×C17C2512yes—
763C23×C17C2511yescharacteristic
764C22×D17—22no—
765C22×D17—22no—
766C22×D17—22no—
767C22×D17—22no—
768C22×D17—22no—
769C22×D17—28no—
770C22×D17—44no—
771C22×D17—44no—
772C22×D17—88no—
773C22×D172−1+414yes—
774C22×D17C2512yes—
775C22×D17C2512yes—
776Q8×C17—44no—
777Q8×C17—44no—
778Q8×C17—44no—
779D4×C17—44no—
780D4×C17—44no—
781D4×C17—44no—
782C2×C4×C17—22no—
783C2×C4×C17—22no—
784C2×C4×C17—22no—
785C2×C4×C17—22no—
786C2×C4×C17—22no—
787C2×C4×C17—22no—
788C2×C4×C17—22no—
789C2×C4×C17—22no—
790C2×C4×C17—22no—
791C2×C4×C17—22no—
792C2×C4×C17—22no—
793C2×C4×C17—22no—
794C2×C4×C17—44no—
795C2×C4×C17—44no—
796C2×C4×C17—44no—
797C2×C4×C17C2512yes—
798C2×C4×C17C2512yes—
799C2×C4×C17C2512yes—
800C2×C4×C17C2512yes—
801C2×C4×C17C2512yes—
802C2×C4×C17C2512yes—
803C2×C4×C17C2512yes—
804C2×C4×C17C2512yes—
805C2×C4×C17C2512yes—
806C2×C4×C17C2512yes—
807C2×C4×C17C2512yes—
808C2×C4×C17C2512yes—
809C22⋊D17—28no—
810C22⋊D17—28no—
811C22⋊D17—44no—
812C22⋊D17—44no—
813C2×Dic17—22no—
814C2×Dic17—22no—
815C2×Dic17—22no—
816C2×Dic17—22no—
817C2×Dic17—22no—
818C2×Dic17—22no—
819C2×Dic17—22no—
820C2×Dic17—22no—
821C2×Dic17—22no—
822C2×Dic17—22no—
823C2×Dic17—22no—
824C2×Dic17—22no—
825C2×Dic17—22no—
826C2×Dic17—22no—
827C2×Dic17—44no—
828C2×Dic17—44no—
829C2×Dic17—44no—
830C2×Dic17—44no—
831C2×Dic17—44no—
832C2×Dic17C2512yes—
833C2×Dic17C2512yes—
834C2×Dic17C2512yes—
835C2×Dic17C2512yes—
836C2×Dic17C2512yes—
837C2×Dic17C2512yes—
838C2×Dic17C2512yes—
839C2×Dic17C2512yes—
840C2×Dic17C2512yes—
841C2×Dic17C2512yes—
842C2×Dic17C2512yes—
843C2×Dic17C2512yes—
844C2×Dic17C2512yes—
845C2×Dic17C2512yes—
846C4×D17—28no—
847C4×D17—28no—
848C4×D17—44no—
849C4×D17—44no—
850C4×D17—44no—
851C4×D17—44no—
852C4×D17—44no—
853C4×D17—44no—
854Dic34—44no—
855Dic34—44no—
856Dic34—44no—
857Dic34—44no—
858Dic34—44no—
859Dic34—44no—
860#3564—1732no—
861C2×#563—171no—
862C2×#563—171no—
863C2×#563—171no—
864C2×#563—171no—
865C2×#556—171no—
866C2×#556—171no—
867C2×#554—171no—
868C2×#554—171no—
869C2×#552—171no—
870C2×#552—171no—
871C2×#552—171no—
872C2×#552—171no—
873C2×#551—171no—
874C2×#551—171no—
875C2×#551—171no—
876C2×#551—171no—
877C2×#544—171no—
878C2×#543—171no—
879C2×#542—171no—
880C2×#542D1711yescharacteristic, complemented
881C2×#541—171no—
882C2×#541—171no—
883C2×#541—171no—
884C2×#541—171no—
885C2×#539—171no—
886C2×#539—171no—
887C2×#539—171no—
888C2×#538—171no—
889C2×#533—171no—
890C2×#529—171no—
891C22×#126—171no—
892C22×C17—22no—
893C22×C17—22no—
894C22×C17—22no—
895C22×C17—22no—
896C22×C17—22no—
897C22×C17—22no—
898C22×C17—22no—
899C22×C17—22no—
900C22×C17—22no—
901C22×C17—44no—
902C22×C17—44no—
903C22×C17—44no—
904C22×C17C2×2−1+412yes—
905C22×C17#58512yes—
906C22×C17#58512yes—
907C22×C17C2611yescharacteristic
908C2×D17—22no—
909C2×D17—22no—
910C2×D17—28no—
911C2×D17—22no—
912C2×D17—22no—
913C2×D17—22no—
914C2×D17—44no—
915C2×D17—88no—
916C2×D17C2×2−1+414yes—
917C4×C17—22no—
918C4×C17—22no—
919C4×C17—22no—
920C4×C17—22no—
921C4×C17—22no—
922C4×C17—22no—
923C4×C17—22no—
924C4×C17—22no—
925C4×C17—22no—
926C4×C17—22no—
927C4×C17—22no—
928C4×C17—22no—
929Dic17—22no—
930Dic17—22no—
931Dic17—22no—
932Dic17—22no—
933Dic17—22no—
934Dic17—22no—
935Dic17—22no—
936Dic17—22no—
937Dic17—22no—
938Dic17—22no—
939Dic17—22no—
940Dic17—22no—
941Dic17—22no—
942Dic17—22no—
943#563—1716no—
944#563—1716no—
945#563—1716no—
946#563—1716no—
947#556—1716no—
948#556—1716no—
949#554—1716no—
950#554—1716no—
951#552—1716no—
952#552—1716no—
953#552—1716no—
954#552—1716no—
955#551—1716no—
956#551—1716no—
957#551—1716no—
958#551—1716no—
959#544—1716no—
960#543—1716no—
961#542—1716no—
962#542C2×D17116yescomplemented
963#541—1716no—
964#541—1716no—
965#541—1716no—
966#541—1716no—
967#539—1716no—
968#539—1716no—
969#539—1716no—
970#538—1716no—
971#533—1716no—
972C2×C4⋊Q8—171no—
973C2×C4⋊Q8—171no—
974C2×C4⋊Q8—171no—
975C2×C4⋊Q8—171no—
976C2×C4⋊Q8—171no—
977C2×C4⋊Q8—171no—
978C2×C4⋊Q8—171no—
979C2×C4⋊Q8C2×D1711yescharacteristic, complemented
980#529—1716no—
981C2×#126—1716no—
982C2×#126—171no—
983C2×#126—171no—
984C2×#126—171no—
985C2×#126—171no—
986C2×#126—171no—
987C2×#126—171no—
988C2×#126—171no—
989C2×#126—171no—
990C2×#126—171no—
991C2×#126—171no—
992C2×#126—171no—
993C2×#126—171no—
994C2×#126—171no—
995C2×#126—171no—
996C2×#126—171no—
997C2×#126—171no—
998C2×#126—171no—
999C2×#126—171no—
1000C2×#126—171no—
1001C2×#126—171no—
1002C2×#126—171no—
1003C2×#126—171no—
1004C2×#126—171no—
1005C2×#126—171no—
1006C2×#126C2×D1711yescharacteristic
1007C2×#126C2×D1711yescharacteristic, complemented
1008C2×#125—171no—
1009C2×#125—171no—
1010C2×#125—171no—
1011C2×#125—171no—
1012C2×#125—171no—
1013C2×#125—171no—
1014C2×#125—171no—
1015C2×#125—171no—
1016C2×#125—171no—
1017C2×#125—171no—
1018C2×#125—171no—
1019C2×#125—171no—
1020C2×#125—171no—
1021C2×#125—171no—
1022C2×#125—171no—
1023C2×#125—171no—
1024C2×#125—171no—
1025C2×#125—171no—
1026C2×#125—171no—
1027C2×#124—171no—
1028C2×#124—171no—
1029C2×#124—171no—
1030C2×#124—171no—
1031C2×#124C2×D1711yescharacteristic
1032C2×#124C2×D1711yescharacteristic
1033C2×#124C2×D1711yescharacteristic, complemented
1034C2×#123—171no—
1035C2×#123—171no—
1036C2×#123—171no—
1037C2×#123—171no—
1038C2×#123—171no—
1039C2×#123—171no—
1040C2×#123—171no—
1041C2×#123—171no—
1042C2×#123—171no—
1043C2×#123—171no—
1044C2×#123—171no—
1045C2×#123—171no—
1046C2×#123—171no—
1047C2×#123—171no—
1048C2×#123C2×D1711yescharacteristic
1049C2×#123C2×D1711yescharacteristic, complemented
1050C2×C22⋊Q8—171no—
1051C2×C22⋊Q8—171no—
1052C2×C22⋊Q8—171no—
1053C2×C22⋊Q8—171no—
1054C2×C22⋊Q8—171no—
1055C2×C22⋊Q8—171no—
1056C2×C22⋊Q8—171no—
1057C2×C22⋊Q8—171no—
1058C2×C22⋊Q8—171no—
1059C2×C22⋊Q8—171no—
1060C2×C22⋊Q8—171no—
1061C2×C22⋊Q8—171no—
1062C2×C22⋊Q8—171no—
1063C2×C22⋊Q8—171no—
1064C2×C22⋊Q8—171no—
1065C2×C22⋊Q8—171no—
1066C2×C22⋊Q8—171no—
1067C2×C22⋊Q8—171no—
1068C2×C22⋊Q8—171no—
1069C2×C22⋊Q8—171no—
1070C2×C22⋊Q8—171no—
1071C2×C22⋊Q8—171no—
1072C2×C22⋊Q8—171no—
1073C2×C22⋊Q8—171no—
1074C2×C22⋊Q8—171no—
1075C2×C22⋊Q8—171no—
1076C2×C22⋊Q8—171no—
1077C2×C22⋊Q8—171no—
1078C2×C22⋊Q8C2×D1711yescharacteristic
1079C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1080C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1081C2×#121—171no—
1082C2×#121—171no—
1083C2×#121C2×D1711yescharacteristic
1084C2×#120—171no—
1085C2×#120—171no—
1086C2×C4×Q8—171no—
1087C2×C4×Q8—171no—
1088C2×C4×Q8—171no—
1089C2×C4×Q8—171no—
1090C2×C4×Q8—171no—
1091C2×C4×Q8—171no—
1092C2×C4×Q8—171no—
1093C2×C4×Q8—171no—
1094C2×C4×Q8C2×D1711yescharacteristic, complemented
1095C2×C4×D4—171no—
1096C2×C4×D4—171no—
1097C2×C4×D4—171no—
1098C2×C4×D4—171no—
1099C2×C4×D4—171no—
1100C2×C4×D4—171no—
1101C2×C4×D4—171no—
1102C2×C4×D4—171no—
1103C2×C4×D4—171no—
1104C2×C4×D4—171no—
1105C2×C4×D4C2×D1711yescharacteristic
1106C2×#117—171no—
1107C2×#117—171no—
1108C2×#117—171no—
1109C2×#117—171no—
1110C2×#117—171no—
1111C2×#117—171no—
1112C2×#117—171no—
1113C2×#117—171no—
1114C2×#117—171no—
1115C2×#117—171no—
1116C2×#117—171no—
1117C2×#117C2×D1711yescharacteristic, complemented
1118C22×C4⋊C4—171no—
1119C22×C4⋊C4—171no—
1120C22×C4⋊C4—171no—
1121C22×C4⋊C4—171no—
1122C22×C4⋊C4—171no—
1123C22×C22⋊C4—171no—
1124C22×C22⋊C4—171no—
1125C22×C22⋊C4—171no—
1126C22×C22⋊C4—171no—
1127C22×C22⋊C4—171no—
1128C22×C42—171no—
1129C2×C17—42no—
1130C2×C17—42no—
1131C2×C17—42no—
1132C2×C17#356414yescomplemented
1133C2×C17C22×2−1+411yescharacteristic
1134C2×C17C2×#58511yescharacteristic
1135C2×C17C2×#58511yescharacteristic
1136D17—24no—
1137D17—42no—
1138C25—171no—
1139C22×Q8—171no—
1140C22×Q8—171no—
1141C22×Q8—171no—
1142C22×Q8—171no—
1143C22×Q8—171no—
1144C22×Q8—171no—
1145C22×Q8C22×D1711yescharacteristic
1146C22×Q8C22×D1711yescharacteristic
1147C22×Q8C22×D1711yescharacteristic
1148C22×D4—171no—
1149C22×D4—171no—
1150C22×D4—171no—
1151C22×D4—171no—
1152C22×D4C22×D1711yescharacteristic
1153C22×D4C22×D1711yescharacteristic
1154C22×D4C22×D1711yescharacteristic
1155C23×C4—171no—
1156C23×C4—171no—
1157C23×C4—171no—
1158C23×C4—171no—
1159C23×C4—171no—
1160C23×C4—171no—
1161C23×C4—171no—
1162C23×C4—171no—
1163C23×C4—171no—
1164C23×C4—171no—
1165C23×C4—171no—
1166C23×C4—171no—
1167C23×C4—171no—
1168C23×C4C22×D1711yescharacteristic
1169C23×C4C22×D1711yescharacteristic
1170C23×C4C22×D1711yescharacteristic
1171C4⋊Q8—178no—
1172C4⋊Q8—178no—
1173C4⋊Q8—178no—
1174C4⋊Q8—178no—
1175C4⋊Q8—178no—
1176C4⋊Q8—178no—
1177C4⋊Q8—178no—
1178C4⋊Q8C22×D1718yescomplemented
1179#126—178no—
1180#126—178no—
1181#126—178no—
1182#126—178no—
1183#126—178no—
1184#126—178no—
1185#126—178no—
1186#126—178no—
1187#126—178no—
1188#126—178no—
1189#126—178no—
1190#126—178no—
1191#126—178no—
1192#126—178no—
1193#126—178no—
1194#126—178no—
1195#126—178no—
1196#126—178no—
1197#126—178no—
1198#126—178no—
1199#126—178no—
1200#126—178no—
1201#126—178no—
1202#126—178no—
1203#126C22×D1718yes—
1204#126C22×D1718yescomplemented
1205#125—178no—
1206#125—178no—
1207#125—178no—
1208#125—178no—
1209#125—178no—
1210#125—178no—
1211#125—178no—
1212#125—178no—
1213#125—178no—
1214#125—178no—
1215#125—178no—
1216#125—178no—
1217#125—178no—
1218#125—178no—
1219#125—178no—
1220#125—178no—
1221#125—178no—
1222#125—178no—
1223#125—178no—
1224#124—178no—
1225#124—178no—
1226#124—178no—
1227#124—178no—
1228#124C22×D1718yes—
1229#124C22×D1718yes—
1230#124C22×D1718yescomplemented
1231#123—178no—
1232#123—178no—
1233#123—178no—
1234#123—178no—
1235#123—178no—
1236#123—178no—
1237#123—178no—
1238#123—178no—
1239#123—178no—
1240#123—178no—
1241#123—178no—
1242#123—178no—
1243#123—178no—
1244#123—178no—
1245#123C22×D1718yes—
1246#123C22×D1718yescomplemented
1247C22⋊Q8—178no—
1248C22⋊Q8—178no—
1249C22⋊Q8—178no—
1250C22⋊Q8—178no—
1251C22⋊Q8—178no—
1252C22⋊Q8—178no—
1253C22⋊Q8—178no—
1254C22⋊Q8—178no—
1255C22⋊Q8—178no—
1256C22⋊Q8—178no—
1257C22⋊Q8—178no—
1258C22⋊Q8—178no—
1259C22⋊Q8—178no—
1260C22⋊Q8—178no—
1261C22⋊Q8—178no—
1262C22⋊Q8—178no—
1263C22⋊Q8—178no—
1264C22⋊Q8—178no—
1265C22⋊Q8—178no—
1266C22⋊Q8—178no—
1267C22⋊Q8—178no—
1268C22⋊Q8—178no—
1269C22⋊Q8—178no—
1270C22⋊Q8—178no—
1271C22⋊Q8—178no—
1272C22⋊Q8—178no—
1273C22⋊Q8—178no—
1274C22⋊Q8—178no—
1275C22⋊Q8C22×D1718yes—
1276C22⋊Q8C22×D1718yescomplemented
1277C22⋊Q8C22×D1718yescomplemented
1278#121—178no—
1279#121—178no—
1280#121C22×D1718yes—
1281#120—178no—
1282#120—178no—
1283C4×Q8—178no—
1284C4×Q8—178no—
1285C4×Q8—178no—
1286C4×Q8—178no—
1287C4×Q8—178no—
1288C4×Q8—178no—
1289C4×Q8—178no—
1290C4×Q8—178no—
1291C4×Q8C22×D1718yescomplemented
1292C4×D4—178no—
1293C4×D4—178no—
1294C4×D4—178no—
1295C4×D4—178no—
1296C4×D4—178no—
1297C4×D4—178no—
1298C4×D4—178no—
1299C4×D4—178no—
1300C4×D4—178no—
1301C4×D4—178no—
1302C4×D4C22×D1718yes—
1303#117—178no—
1304#117—178no—
1305#117—178no—
1306#117—178no—
1307#117—178no—
1308#117—178no—
1309#117—178no—
1310#117—178no—
1311#117—178no—
1312#117—178no—
1313#117—178no—
1314#117C22×D1718yescomplemented
1315C2×C4⋊C4—171no—
1316C2×C4⋊C4—171no—
1317C2×C4⋊C4—171no—
1318C2×C4⋊C4—171no—
1319C2×C4⋊C4—171no—
1320C2×C4⋊C4—171no—
1321C2×C4⋊C4—171no—
1322C2×C4⋊C4—171no—
1323C2×C4⋊C4—171no—
1324C2×C4⋊C4—171no—
1325C2×C4⋊C4—171no—
1326C2×C4⋊C4—171no—
1327C2×C4⋊C4—171no—
1328C2×C4⋊C4—171no—
1329C2×C4⋊C4—171no—
1330C2×C4⋊C4—178no—
1331C2×C4⋊C4—178no—
1332C2×C4⋊C4—171no—
1333C2×C4⋊C4—171no—
1334C2×C4⋊C4—171no—
1335C2×C4⋊C4—171no—
1336C2×C4⋊C4—171no—
1337C2×C4⋊C4—171no—
1338C2×C4⋊C4—171no—
1339C2×C4⋊C4—171no—
1340C2×C4⋊C4—171no—
1341C2×C4⋊C4—171no—
1342C2×C4⋊C4—171no—
1343C2×C4⋊C4—171no—
1344C2×C4⋊C4—171no—
1345C2×C4⋊C4—171no—
1346C2×C4⋊C4—171no—
1347C2×C4⋊C4—171no—
1348C2×C4⋊C4—171no—
1349C2×C4⋊C4—171no—
1350C2×C4⋊C4—171no—
1351C2×C4⋊C4—171no—
1352C2×C4⋊C4—171no—
1353C2×C4⋊C4—171no—
1354C2×C4⋊C4—171no—
1355C2×C4⋊C4—171no—
1356C2×C4⋊C4—171no—
1357C2×C4⋊C4—171no—
1358C2×C4⋊C4—171no—
1359C2×C4⋊C4—171no—
1360C2×C4⋊C4—171no—
1361C2×C4⋊C4—171no—
1362C2×C4⋊C4—171no—
1363C2×C4⋊C4—171no—
1364C2×C4⋊C4—171no—
1365C2×C4⋊C4—171no—
1366C2×C4⋊C4—171no—
1367C2×C4⋊C4—171no—
1368C2×C4⋊C4—171no—
1369C2×C4⋊C4—178no—
1370C2×C4⋊C4—178no—
1371C2×C4⋊C4—178no—
1372C2×C4⋊C4C22×D1711yescharacteristic
1373C2×C4⋊C4C22×D1711yescharacteristic
1374C2×C4⋊C4C22×D1711yescharacteristic
1375C2×C4⋊C4C22×D1711yescharacteristic
1376C2×C4⋊C4C22×D1711yescharacteristic
1377C2×C4⋊C4C22×D1711yescharacteristic
1378C2×C4⋊C4C22×D1711yescharacteristic
1379C2×C4⋊C4C22×D1711yescharacteristic
1380C2×C4⋊C4C22×D1711yescharacteristic
1381C2×C4⋊C4C22×D1711yescharacteristic
1382C2×C22⋊C4—171no—
1383C2×C22⋊C4—171no—
1384C2×C22⋊C4—171no—
1385C2×C22⋊C4—171no—
1386C2×C22⋊C4—171no—
1387C2×C22⋊C4—171no—
1388C2×C22⋊C4—171no—
1389C2×C22⋊C4—171no—
1390C2×C22⋊C4—171no—
1391C2×C22⋊C4—171no—
1392C2×C22⋊C4—171no—
1393C2×C22⋊C4—171no—
1394C2×C22⋊C4—171no—
1395C2×C22⋊C4—171no—
1396C2×C22⋊C4—171no—
1397C2×C22⋊C4—171no—
1398C2×C22⋊C4—171no—
1399C2×C22⋊C4—171no—
1400C2×C22⋊C4—171no—
1401C2×C22⋊C4—171no—
1402C2×C22⋊C4—171no—
1403C2×C22⋊C4—171no—
1404C2×C22⋊C4—171no—
1405C2×C22⋊C4—171no—
1406C2×C22⋊C4—171no—
1407C2×C22⋊C4—171no—
1408C2×C22⋊C4—178no—
1409C2×C22⋊C4—171no—
1410C2×C22⋊C4—171no—
1411C2×C22⋊C4—171no—
1412C2×C22⋊C4—171no—
1413C2×C22⋊C4—178no—
1414C2×C22⋊C4—178no—
1415C2×C22⋊C4—178no—
1416C2×C22⋊C4—178no—
1417C2×C22⋊C4C22×D1711yescharacteristic
1418C2×C22⋊C4C22×D1711yescharacteristic
1419C2×C22⋊C4C22×D1711yescharacteristic
1420C2×C22⋊C4C22×D1711yescharacteristic
1421C2×C22⋊C4C22×D1711yescharacteristic
1422C2×C22⋊C4C22×D1711yescharacteristic
1423C2×C22⋊C4C22×D1711yescharacteristic
1424C2×C22⋊C4C22×D1711yescharacteristic
1425C2×C22⋊C4C22×D1711yescharacteristic
1426C2×C22⋊C4C22×D1711yescharacteristic
1427C2×C22⋊C4C22×D1711yescharacteristic
1428C2×C22⋊C4C22×D1711yescharacteristic
1429C2×C42—171no—
1430C2×C42—171no—
1431C2×C42—171no—
1432C2×C42—171no—
1433C2×C42—171no—
1434C2×C42—171no—
1435C2×C42—171no—
1436C2×C42—171no—
1437C2×C42—171no—
1438C2×C42—171no—
1439C2×C42—171no—
1440C2×C42—171no—
1441C2×C42—171no—
1442C2×C42—171no—
1443C2×C42—178no—
1444C2×C42C22×D1711yescharacteristic
1445C2×C42C22×D1711yescharacteristic
1446C2×C42C22×D1711yescharacteristic
1447C2×C42C22×D1711yescharacteristic
1448C17C2×#356411yescharacteristic, complemented, Sylow
1449C24—171no—
1450C24—171no—
1451C24—174no—
1452C24—344no—
1453C24—682no—
1454C24—682no—
1455C24C23×D1711yescharacteristic
1456C24C23×D1711yescharacteristic
1457C24C23×D1711yescharacteristic
1458C2×Q8—42no—
1459C2×Q8—42no—
1460C2×Q8—42no—
1461C2×Q8—174no—
1462C2×Q8—174no—
1463C2×Q8—174no—
1464C2×Q8—174no—
1465C2×Q8—174no—
1466C2×Q8—174no—
1467C2×Q8—682no—
1468C2×Q8—682no—
1469C2×Q8—682no—
1470C2×Q8—682no—
1471C2×Q8—682no—
1472C2×Q8—682no—
1473C2×Q8C23×D1714yes—
1474C2×Q8C23×D1714yes—
1475C2×Q8C23×D1714yes—
1476C2×D4—42no—
1477C2×D4—42no—
1478C2×D4—42no—
1479C2×D4—174no—
1480C2×D4—174no—
1481C2×D4—174no—
1482C2×D4—174no—
1483C2×D4—344no—
1484C2×D4—344no—
1485C2×D4—682no—
1486C2×D4—682no—
1487C2×D4C23×D1714yes—
1488C2×D4C23×D1714yes—
1489C2×D4C23×D1714yes—
1490C22×C4—42no—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—171no—
1494C22×C4—171no—
1495C22×C4—171no—
1496C22×C4—171no—
1497C22×C4—171no—
1498C22×C4—171no—
1499C22×C4—171no—
1500C22×C4—171no—
1501C22×C4—171no—
1502C22×C4—171no—
1503C22×C4—171no—
1504C22×C4—171no—
1505C22×C4—171no—
1506C22×C4—171no—
1507C22×C4—174no—
1508C22×C4—174no—
1509C22×C4—174no—
1510C22×C4—174no—
1511C22×C4—174no—
1512C22×C4—174no—
1513C22×C4—174no—
1514C22×C4—174no—
1515C22×C4—174no—
1516C22×C4—174no—
1517C22×C4—174no—
1518C22×C4—174no—
1519C22×C4—174no—
1520C22×C4—344no—
1521C22×C4—344no—
1522C22×C4—682no—
1523C22×C4—682no—
1524C22×C4—682no—
1525C22×C4—682no—
1526C22×C4—682no—
1527C22×C4—682no—
1528C22×C4—682no—
1529C22×C4—682no—
1530C22×C4—682no—
1531C22×C4—682no—
1532C22×C4—682no—
1533C22×C4C23×D1711yescharacteristic
1534C22×C4C23×D1711yescharacteristic
1535C22×C4C23×D1711yescharacteristic
1536C22×C4C23×D1711yescharacteristic
1537C22×C4C23×D1711yescharacteristic
1538C22×C4C23×D1711yescharacteristic
1539C22×C4C23×D1711yescharacteristic
1540C22×C4C23×D1711yescharacteristic
1541C22×C4C23×D1711yescharacteristic
1542C22×C4C23×D1711yescharacteristic
1543C22×C4C23×D1711yescharacteristic
1544C22×C4C23×D1711yescharacteristic
1545C22×C4C23×D1714yes—
1546C22×C4C23×D1714yes—
1547C22×C4C23×D1714yes—
1548C4⋊C4—174no—
1549C4⋊C4—174no—
1550C4⋊C4—174no—
1551C4⋊C4—174no—
1552C4⋊C4—174no—
1553C4⋊C4—174no—
1554C4⋊C4—174no—
1555C4⋊C4—174no—
1556C4⋊C4—174no—
1557C4⋊C4—174no—
1558C4⋊C4—174no—
1559C4⋊C4—174no—
1560C4⋊C4—174no—
1561C4⋊C4—174no—
1562C4⋊C4—174no—
1563C4⋊C4—174no—
1564C4⋊C4—174no—
1565C4⋊C4—174no—
1566C4⋊C4—174no—
1567C4⋊C4—174no—
1568C4⋊C4—174no—
1569C4⋊C4—174no—
1570C4⋊C4—174no—
1571C4⋊C4—174no—
1572C4⋊C4—174no—
1573C4⋊C4—174no—
1574C4⋊C4—174no—
1575C4⋊C4—174no—
1576C4⋊C4—174no—
1577C4⋊C4—174no—
1578C4⋊C4—174no—
1579C4⋊C4—174no—
1580C4⋊C4—174no—
1581C4⋊C4—174no—
1582C4⋊C4—174no—
1583C4⋊C4—174no—
1584C4⋊C4—174no—
1585C4⋊C4—174no—
1586C4⋊C4—174no—
1587C4⋊C4—174no—
1588C4⋊C4—174no—
1589C4⋊C4—174no—
1590C4⋊C4—174no—
1591C4⋊C4—174no—
1592C4⋊C4—174no—
1593C4⋊C4—174no—
1594C4⋊C4—174no—
1595C4⋊C4—174no—
1596C4⋊C4—174no—
1597C4⋊C4—174no—
1598C4⋊C4—174no—
1599C4⋊C4—174no—
1600C4⋊C4C23×D1714yes—
1601C4⋊C4C23×D1714yes—
1602C4⋊C4C23×D1714yes—
1603C4⋊C4C23×D1714yes—
1604C4⋊C4C23×D1714yes—
1605C4⋊C4C23×D1714yes—
1606C4⋊C4C23×D1714yes—
1607C4⋊C4C23×D1714yes—
1608C4⋊C4C23×D1714yes—
1609C4⋊C4C23×D1714yes—
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—174no—
1622C22⋊C4—174no—
1623C22⋊C4—174no—
1624C22⋊C4—174no—
1625C22⋊C4—174no—
1626C22⋊C4—174no—
1627C22⋊C4—174no—
1628C22⋊C4—174no—
1629C22⋊C4—174no—
1630C22⋊C4—174no—
1631C22⋊C4—174no—
1632C22⋊C4—174no—
1633C22⋊C4—174no—
1634C22⋊C4—174no—
1635C22⋊C4—174no—
1636C22⋊C4—174no—
1637C22⋊C4—174no—
1638C22⋊C4—174no—
1639C22⋊C4—174no—
1640C22⋊C4C23×D1714yes—
1641C22⋊C4C23×D1714yes—
1642C22⋊C4C23×D1714yes—
1643C22⋊C4C23×D1714yes—
1644C22⋊C4C23×D1714yes—
1645C22⋊C4C23×D1714yes—
1646C22⋊C4C23×D1714yes—
1647C22⋊C4C23×D1714yes—
1648C22⋊C4C23×D1714yes—
1649C22⋊C4C23×D1714yes—
1650C22⋊C4C23×D1714yes—
1651C22⋊C4C23×D1714yes—
1652C42—174no—
1653C42—174no—
1654C42—174no—
1655C42—174no—
1656C42—174no—
1657C42—174no—
1658C42—174no—
1659C42—174no—
1660C42—174no—
1661C42—174no—
1662C42—174no—
1663C42—174no—
1664C42—174no—
1665C42—174no—
1666C42C23×D1714yes—
1667C42C23×D1714yes—
1668C42C23×D1714yes—
1669C42C23×D1714yes—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—174no—
1680C23—172no—
1681C23—172no—
1682C23—348no—
1683C23—342no—
1684C23—342no—
1685C23—342no—
1686C23—342no—
1687C23—342no—
1688C23—684no—
1689C23—684no—
1690C23—1368no—
1691C23C24×D1712yes—
1692C23C24×D1712yes—
1693C23C24×D1712yes—
1694C23C24×D1711yescharacteristic
1695Q8—44no—
1696Q8—44no—
1697Q8—44no—
1698Q8—684no—
1699Q8—684no—
1700Q8—684no—
1701Q8—684no—
1702Q8—684no—
1703Q8—684no—
1704D4—44no—
1705D4—44no—
1706D4—44no—
1707D4—348no—
1708D4—348no—
1709D4—684no—
1710D4—684no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—172no—
1727C2×C4—172no—
1728C2×C4—172no—
1729C2×C4—172no—
1730C2×C4—172no—
1731C2×C4—172no—
1732C2×C4—172no—
1733C2×C4—172no—
1734C2×C4—172no—
1735C2×C4—172no—
1736C2×C4—172no—
1737C2×C4—172no—
1738C2×C4—172no—
1739C2×C4—172no—
1740C2×C4—348no—
1741C2×C4—348no—
1742C2×C4—342no—
1743C2×C4—342no—
1744C2×C4—342no—
1745C2×C4—342no—
1746C2×C4—342no—
1747C2×C4—342no—
1748C2×C4—342no—
1749C2×C4—342no—
1750C2×C4—342no—
1751C2×C4—342no—
1752C2×C4—342no—
1753C2×C4—342no—
1754C2×C4—342no—
1755C2×C4—342no—
1756C2×C4—684no—
1757C2×C4—684no—
1758C2×C4—684no—
1759C2×C4—684no—
1760C2×C4—684no—
1761C2×C4—684no—
1762C2×C4—684no—
1763C2×C4—684no—
1764C2×C4—684no—
1765C2×C4—684no—
1766C2×C4—684no—
1767C2×C4C24×D1712yes—
1768C2×C4C24×D1712yes—
1769C2×C4C24×D1712yes—
1770C2×C4C24×D1712yes—
1771C2×C4C24×D1712yes—
1772C2×C4C24×D1712yes—
1773C2×C4C24×D1712yes—
1774C2×C4C24×D1712yes—
1775C2×C4C24×D1712yes—
1776C2×C4C24×D1712yes—
1777C2×C4C24×D1712yes—
1778C2×C4C24×D1712yes—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—44no—
1789C22—44no—
1790C22—44no—
1791C22—174no—
1792C22—348no—
1793C22—342no—
1794C22—342no—
1795C22—342no—
1796C22—342no—
1797C22—342no—
1798C22—684no—
1799C22—1368no—
1800C222−1+4×D1712yes—
1801C22#1176364412yes—
1802C22#1176364512yes—
1803C22C25×D1711yescharacteristic
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—22no—
1814C4—22no—
1815C4—22no—
1816C4—342no—
1817C4—342no—
1818C4—342no—
1819C4—342no—
1820C4—342no—
1821C4—342no—
1822C4—342no—
1823C4—342no—
1824C4—342no—
1825C4—342no—
1826C4—342no—
1827C4—342no—
1828C4—342no—
1829C4—342no—
1830C2—42no—
1831C2—42no—
1832C2—42no—
1833C2—344no—
1834C2—682no—
1835C2#1454340914yesdirect product factor
1836C2C2×2−1+4×D1711yescharacteristic
1837C2C2×#1176364411yescharacteristic
1838C2C2×#1176364511yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#542C2
socleC23×C17C25
prime radicalC2×#11763391C2
hypercenterC2×#542D17
hypocenterC17C2×#3564
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. #14543409C2direct (N × H)
2. C2×#11763562C2semidirect
3. C2×#11763560C2semidirect
4. C2×#11763560C2semidirect
5. C2×#11763559C2semidirect
6. C2×#11763528C2semidirect
7. C2×#11763526C2semidirect
8. C2×#11763517C2semidirect
9. C2×#11763513C2semidirect
10. C2×#11763499C2semidirect
11. C2×#11763498C2semidirect
12. C2×#11763495C2semidirect
13. C2×#11763492C2semidirect
14. C2×#11763489C2semidirect
15. C2×#11763489C2semidirect
16. C2×#11763488C2semidirect
17. C2×#11763482C2semidirect
18. C2×#11763436C2semidirect
19. C2×#11763434C2semidirect
20. C2×#11763423C2semidirect
21. C2×#11763420C2semidirect
22. C2×#11763419C2semidirect
23. C2×#11763417C2semidirect
24. C2×#11763416C2semidirect
25. C2×#11763404C2semidirect
26. C2×#11763403C2semidirect
27. C2×#11763402C2semidirect
29. C2×#11763363C2semidirect
30. C2×#11763338C2semidirect
31. C2×#126×D17C2semidirect
32. C2×C17×#542C2semidirect
33. #11763562C22semidirect
34. #11763560C22semidirect
35. #11763560C22semidirect
36. #11763559C22semidirect
37. #11763528C22semidirect
38. #11763526C22semidirect
39. #11763517C22semidirect
40. #11763513C22semidirect
41. #11763499C22semidirect
42. #11763498C22semidirect
43. #11763495C22semidirect
44. #11763492C22semidirect
45. #11763489C22semidirect
46. #11763489C22semidirect
47. #11763488C22semidirect
48. #11763482C22semidirect
49. #11763436C22semidirect
50. #11763434C22semidirect
51. #11763423C22semidirect
52. #11763420C22semidirect
53. #11763419C22semidirect
54. #11763417C22semidirect
55. #11763416C22semidirect
56. #11763404C22semidirect
57. #11763403C22semidirect
58. #11763402C22semidirect
60. #11763363C22semidirect
61. C2×#10587574C22semidirect
62. C2×#10587574C22semidirect
63. C2×#10587574C22semidirect
64. C2×#10587630C22semidirect
65. C2×#10587630C22semidirect
66. C2×#10587630C22semidirect
67. C2×#10587630C22semidirect
68. #11763338C22semidirect
86. C2×#10587565C22semidirect
87. C2×#10587565C22semidirect
88. C2×#10587565C22semidirect
89. C2×#10587565C22semidirect
90. C2×#10587565C22semidirect
91. C2×#10587565C22semidirect
92. C2×#10587565C22semidirect
93. #126×D17C22semidirect
94. C2×#10587556C22semidirect
95. C2×#10587556C22semidirect
96. C2×#10587556C22semidirect
97. C2×#10587556C22semidirect
98. C2×#10587576C22semidirect
99. C2×#10587576C22semidirect
100. C2×#10587576C22semidirect
101. C2×#10587576C22semidirect
102. C2×#10587575C22semidirect
103. C2×#10587575C22semidirect
104. C2×#10587575C22semidirect
105. C2×#10587575C22semidirect
106. C2×#10587575C22semidirect
107. C2×#10587575C22semidirect
108. C2×#10587575C22semidirect
109. C2×#10587575C22semidirect
110. C2×#10587575C22semidirect
111. C2×#10587575C22semidirect
112. C2×#10587575C22semidirect
130. C2×#10587621C22semidirect
136. C2×#10587610C22semidirect
137. C2×#10587610C22semidirect
147. C2×#10587564C22semidirect
148. C2×#10587564C22semidirect
149. C2×#10587564C22semidirect
150. C2×#10587564C22semidirect
151. C2×#10587564C22semidirect
152. C2×#10587564C22semidirect
163. C2×Q8×Dic17C22semidirect
164. C2×Q8×Dic17C22semidirect
165. C2×C4×Dic34C22semidirect
166. C2×C4×Dic34C22semidirect
167. C2×C4×Dic34C22semidirect
168. C2×C4×Dic34C22semidirect
169. C2×#10587573C22semidirect
170. C2×#10587573C22semidirect
172. C2×D4×Dic17C22semidirect
189. C2×#10587563C22semidirect
190. C2×#10587563C22semidirect
191. C2×#10587563C22semidirect
192. C22×C4⋊Dic17C22semidirect
193. C22×#63225C22semidirect
203. C17×#542C22semidirect
204. C2×C17×C4⋊Q8C22semidirect
206. C2×C17×#126C22semidirect
209. C2×C17×#124C22semidirect
211. C2×C17×#123C22semidirect
213. C2×C17×C22⋊Q8C22semidirect
214. C2×C17×C22⋊Q8C22semidirect
216. C2×C4×Q8×C17C22semidirect
218. C2×C17×#117C22semidirect
252. C17×C4⋊Q8C23semidirect
254. C17×#126C23semidirect
257. C17×#124C23semidirect
259. C17×#123C23semidirect
261. C17×C22⋊Q8C23semidirect
262. C17×C22⋊Q8C23semidirect
264. C4×Q8×C17C23semidirect
266. C17×#117C23semidirect
313. Q8×Dic17C23semidirect
314. Q8×Dic17C23semidirect
315. #10587630C23semidirect
316. #10587630C23semidirect
317. #10587630C23semidirect
318. #10587630C23semidirect
328. #10587621C23semidirect
330. D4×Dic17C23semidirect
369. C2×C4⋊Dic17C23semidirect
372. #10587610C23semidirect
373. #10587610C23semidirect
410. C2×#63225C23semidirect
445. #10587576C23semidirect
446. #10587576C23semidirect
447. #10587576C23semidirect
448. #10587576C23semidirect
449. #10587575C23semidirect
450. #10587575C23semidirect
451. #10587575C23semidirect
452. #10587575C23semidirect
453. #10587575C23semidirect
454. #10587575C23semidirect
455. #10587575C23semidirect
456. #10587575C23semidirect
457. #10587575C23semidirect
458. #10587575C23semidirect
459. #10587575C23semidirect
460. #10587574C23semidirect
461. #10587574C23semidirect
462. #10587574C23semidirect
463. #10587573C23semidirect
464. #10587573C23semidirect
493. #10587565C23semidirect
494. #10587565C23semidirect
495. #10587565C23semidirect
496. #10587565C23semidirect
497. #10587565C23semidirect
498. #10587565C23semidirect
499. #10587565C23semidirect
503. #10587564C23semidirect
504. #10587564C23semidirect
505. #10587564C23semidirect
506. #10587564C23semidirect
507. #10587564C23semidirect
508. #10587564C23semidirect
510. #10587563C23semidirect
511. #10587563C23semidirect
512. #10587563C23semidirect
521. #10587556C23semidirect
522. #10587556C23semidirect
523. #10587556C23semidirect
524. #10587556C23semidirect
525. C4×Dic34C23semidirect
526. C4×Dic34C23semidirect
527. C4×Dic34C23semidirect
528. C4×Dic34C23semidirect
880. C2×#542D17semidirect
962. #542C2×D17semidirect
979. C2×C4⋊Q8C2×D17semidirect
1007. C2×#126C2×D17semidirect
1033. C2×#124C2×D17semidirect
1049. C2×#123C2×D17semidirect
1079. C2×C22⋊Q8C2×D17semidirect
1080. C2×C22⋊Q8C2×D17semidirect
1094. C2×C4×Q8C2×D17semidirect
1117. C2×#117C2×D17semidirect
1132. C2×C17#3564semidirect
1178. C4⋊Q8C22×D17semidirect
1204. #126C22×D17semidirect
1230. #124C22×D17semidirect
1246. #123C22×D17semidirect
1276. C22⋊Q8C22×D17semidirect
1277. C22⋊Q8C22×D17semidirect
1291. C4×Q8C22×D17semidirect
1314. #117C22×D17semidirect
1448. C17C2×#3564semidirect
1835. C2#14543409direct (N × H)

Maximal subgroups

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

subgroupindex
#145434092
C2×#117635622
C2×#117635602
C2×#117635592
C2×#117635282
C2×#117635262
C2×#117635172
C2×#117635132
C2×#117634992
C2×#117634982
C2×#117634952
C2×#117634922
C2×#117634892
C2×#117634882
C2×#117634822
C2×#117634362
C2×#117634342
C2×#117634232
C2×#117634202
C2×#117634192
C2×#117634172
C2×#117634162
C2×#117634042
C2×#117634032
C2×#117634022
C2×#117633912
C2×#117633632
C2×#117633382
C2×#126×D172
C2×C17×#5422
C2×#356417