Finite Group Databasebeta

← C2×#14543327 #17941740

Subgroups — C2×#14543327 #17941740

Order 4352.

7398 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543327C2132yesmaximal, direct product factor
2C2×#11763558C211yesmaximal, characteristic, complemented
3C2×#11763550C211yesmaximal, characteristic, complemented
4C2×#11763550C211yesmaximal, characteristic, complemented
5C2×#11763512C211yesmaximal, characteristic, complemented
6C2×#11763512C211yesmaximal, characteristic, complemented
7C2×#11763510C211yesmaximal, characteristic, complemented
8C2×#11763504C211yesmaximal, characteristic, complemented
9C2×#11763486C211yesmaximal, characteristic, complemented
10C2×#11763484C211yesmaximal, characteristic, complemented
11C2×#11763462C211yesmaximal, characteristic, complemented
12C2×#11763461C211yesmaximal, characteristic, complemented
13C2×#11763452C211yesmaximal, characteristic, complemented
14C2×#11763451C211yesmaximal, characteristic, complemented
15C2×#11763450C211yesmaximal, characteristic, complemented
16C2×#11763450C211yesmaximal, characteristic, complemented
17C2×#11763433C211yesmaximal, characteristic, complemented
18C2×#11763429C211yesmaximal, characteristic, complemented
19C2×#11763407C211yesmaximal, characteristic, complemented
20C2×#11763407C211yesmaximal, characteristic, complemented
21C2×#11763405C211yesmaximal, characteristic, complemented
22C2×#11763399C211yesmaximal, characteristic, complemented
23C2×#11763398C211yesmaximal, characteristic, complemented
24C2×#11763398C211yesmaximal, characteristic, complemented
25C2×#11763395C211yesmaximal, characteristic, complemented
26C2×#11763393C211yesmaximal, characteristic, complemented
27C2×#11763389C211yesmaximal, characteristic, complemented
28C2×#11763370C211yesmaximal, characteristic, complemented
29C2×#11763360C211yesmaximal, characteristic, complemented
30C2×#11763342C211yesmaximal, characteristic, complemented
31C2×#126×D17C211yesmaximal, characteristic, complemented
32C2×C17×#563C211yesmaximal, characteristic, complemented
33C22×#63256C2211yescharacteristic, complemented
34C22×#63256C2211yescharacteristic, complemented
35C22×#63256C2211yescharacteristic, complemented
36C22×#63252C2211yescharacteristic, complemented
37C23×D68C2211yescharacteristic
38C22×D4×D17C2211yescharacteristic
39#11763558C22116yescomplemented
40#11763550C22116yescomplemented
41#11763550C22116yescomplemented
42#11763512C22116yescomplemented
43#11763512C22116yescomplemented
44#11763510C22116yescomplemented
45#11763504C22116yescomplemented
46#11763486C22116yescomplemented
47#11763484C22116yescomplemented
48#11763462C22116yescomplemented
49#11763461C22116yescomplemented
50#11763452C22116yescomplemented
51#11763451C22116yescomplemented
52#11763450C22116yescomplemented
53#11763450C22116yescomplemented
54#11763433C22116yescomplemented
55#11763429C22116yescomplemented
56#11763407C22116yescomplemented
57#11763407C22116yescomplemented
58#11763405C22116yescomplemented
59#11763399C22116yescomplemented
60#11763398C22116yescomplemented
61#11763398C22116yescomplemented
62#11763395C22116yescomplemented
63#11763393C22116yescomplemented
64#11763389C22116yescomplemented
65#11763370C22116yescomplemented
66#11763360C22116yescomplemented
67C2×#10587630C2211yescharacteristic, complemented
68C2×#10587560C2211yescharacteristic, complemented
69#11763342C22116yescomplemented
70C2×#10587584C2211yescharacteristic, complemented
71C2×#10587584C2211yescharacteristic, complemented
72C2×#10587584C2211yescharacteristic, complemented
73C2×#10587584C2211yescharacteristic, complemented
74C2×#10587584C2211yescharacteristic, complemented
75C2×#10587584C2211yescharacteristic, complemented
76C2×#10587584C2211yescharacteristic, complemented
77C2×#10587584C2211yescharacteristic, complemented
78C2×#10587562C2211yescharacteristic, complemented
79C2×#10587562C2211yescharacteristic, complemented
80C2×#10587562C2211yescharacteristic, complemented
81C2×#10587565C2211yescharacteristic, complemented
82C2×#10587565C2211yescharacteristic, complemented
83C2×#10587565C2211yescharacteristic, complemented
84#126×D17C22116yescomplemented
85C2×#10587575C2211yescharacteristic, complemented
86C2×#10587575C2211yescharacteristic, complemented
87C2×#10587575C2211yescharacteristic, complemented
88C2×#10587633C2211yescharacteristic
89C2×#10587633C2211yescharacteristic
90C2×#10587633C2211yescharacteristic, complemented
91C2×#10587633C2211yescharacteristic, complemented
92C2×#10587561C2211yescharacteristic, complemented
93C2×#10587571C2211yescharacteristic
94C2×#10587571C2211yescharacteristic, complemented
95C2×#10587571C2211yescharacteristic, complemented
96C2×#10587580C2211yescharacteristic
97C2×#10587580C2211yescharacteristic
98C2×#10587580C2211yescharacteristic
99C2×#10587580C2211yescharacteristic
100C2×#10587580C2211yescharacteristic, complemented
101C2×#10587580C2211yescharacteristic, complemented
102C2×#10587580C2211yescharacteristic, complemented
103C2×#10587580C2211yescharacteristic, complemented
104C2×#10587580C2211yescharacteristic, complemented
105C2×#10587580C2211yescharacteristic, complemented
106C2×#10587580C2211yescharacteristic, complemented
107C2×#10587580C2211yescharacteristic, complemented
108C2×#10587580C2211yescharacteristic, complemented
109C2×#10587580C2211yescharacteristic, complemented
110C2×#10587580C2211yescharacteristic, complemented
111C2×#10587580C2211yescharacteristic, complemented
112C2×#10587572C2211yescharacteristic, complemented
113C2×#10587615C2211yescharacteristic
114C2×#10587569C2211yescharacteristic
115C2×#10587569C2211yescharacteristic, complemented
116C2×#10587569C2211yescharacteristic, complemented
117C2×#10587569C2211yescharacteristic, complemented
118C2×#10587583C2211yescharacteristic, complemented
119C2×#10587583C2211yescharacteristic, complemented
120C2×#10587582C2211yescharacteristic, complemented
121C2×#10587582C2211yescharacteristic, complemented
122C2×#10587582C2211yescharacteristic, complemented
123C2×#10587582C2211yescharacteristic, complemented
124C2×#10587582C2211yescharacteristic, complemented
125C2×#10587632C2211yescharacteristic, complemented
126C2×#10587632C2211yescharacteristic, complemented
127C2×#10587632C2211yescharacteristic, complemented
128C2×#10587632C2211yescharacteristic, complemented
129C2×#10587581C2211yescharacteristic
130C2×#10587581C2211yescharacteristic
131C2×#10587581C2211yescharacteristic
132C2×#10587581C2211yescharacteristic
133C2×#10587581C2211yescharacteristic
134C2×#10587581C2211yescharacteristic
135C2×#10587581C2211yescharacteristic, complemented
136C2×#10587581C2211yescharacteristic, complemented
137C2×#10587581C2211yescharacteristic, complemented
138C2×#10587581C2211yescharacteristic, complemented
139C2×#10587581C2211yescharacteristic, complemented
140C2×#10587581C2211yescharacteristic, complemented
141C2×#10587581C2211yescharacteristic, complemented
142C2×#10587581C2211yescharacteristic, complemented
143C2×#10587616C2211yescharacteristic, complemented
144C2×#10587570C2211yescharacteristic
145C2×#10587570C2211yescharacteristic
146C2×#10587570C2211yescharacteristic
147C2×#10587570C2211yescharacteristic
148C2×#10587570C2211yescharacteristic, complemented
149C2×#10587570C2211yescharacteristic, complemented
150C2×#10587570C2211yescharacteristic, complemented
151C2×#10587570C2211yescharacteristic, complemented
152C2×#10587570C2211yescharacteristic, complemented
153C2×#10587570C2211yescharacteristic, complemented
154C2×#10587625C2211yescharacteristic
155C2×#10587624C2211yescharacteristic
156C2×#10587568C2211yescharacteristic
157C2×#10587568C2211yescharacteristic
158C2×#10587568C2211yescharacteristic
159C2×#10587568C2211yescharacteristic
160C2×#10587568C2211yescharacteristic
161C2×#10587568C2211yescharacteristic, complemented
162C2×#10587568C2211yescharacteristic, complemented
163C2×#10587568C2211yescharacteristic, complemented
164C2×#10587568C2211yescharacteristic, complemented
165C2×#10587623C2211yescharacteristic
166C2×#10587573C2211yescharacteristic, complemented
167C2×C4×D68C2211yescharacteristic, complemented
168C2×C4×D68C2211yescharacteristic, complemented
169C2×C4×D68C2211yescharacteristic, complemented
170C2×C4×D68C2211yescharacteristic, complemented
171C2×C4×D68C2211yescharacteristic, complemented
172C2×#10587579C2211yescharacteristic, complemented
173C2×#10587579C2211yescharacteristic, complemented
174C2×#10587579C2211yescharacteristic, complemented
175C2×#10587579C2211yescharacteristic, complemented
176C2×#10587579C2211yescharacteristic, complemented
177C2×#10587579C2211yescharacteristic, complemented
178C2×#10587579C2211yescharacteristic, complemented
179C2×#10587579C2211yescharacteristic, complemented
180C2×C4×C22⋊D17C2211yescharacteristic, complemented
181C2×C4×C22⋊D17C2211yescharacteristic, complemented
182C2×C4×C22⋊D17C2211yescharacteristic, complemented
183C2×#10587567C2211yescharacteristic, complemented
184C2×#10587567C2211yescharacteristic, complemented
185C2×#10587567C2211yescharacteristic, complemented
186C2×#10587578C2211yescharacteristic, complemented
187C2×#10587578C2211yescharacteristic, complemented
188C2×#10587558C2211yescharacteristic, complemented
189C2×#10587563C2211yescharacteristic, complemented
190C2×C4⋊C4×D17C2211yescharacteristic, complemented
191C2×C4⋊C4×D17C2211yescharacteristic, complemented
192C2×C4⋊C4×D17C2211yescharacteristic, complemented
193C2×C4⋊C4×D17C2211yescharacteristic, complemented
194C2×C4⋊C4×D17C2211yescharacteristic, complemented
195C22×#63227C2211yescharacteristic, complemented
196C2×C22⋊C4×D17C2211yescharacteristic
197C2×C22⋊C4×D17C2211yescharacteristic
198C2×C22⋊C4×D17C2211yescharacteristic
199C2×C22⋊C4×D17C2211yescharacteristic, complemented
200C2×C22⋊C4×D17C2211yescharacteristic, complemented
201C2×C22⋊C4×D17C2211yescharacteristic, complemented
202C2×C42×D17C2211yescharacteristic, complemented
203C17×#563C22116yescomplemented
204C2×C17×C4⋊Q8C2211yescharacteristic, complemented
205C2×C17×C4⋊Q8C2211yescharacteristic, complemented
206C2×C17×#126C2211yescharacteristic, complemented
207C2×C17×#126C2211yescharacteristic, complemented
208C2×C17×#126C2211yescharacteristic, complemented
209C2×C17×#126C2211yescharacteristic, complemented
210C2×C17×#125C2211yescharacteristic, complemented
211C2×C17×#125C2211yescharacteristic, complemented
212C2×C17×#124C2211yescharacteristic
213C2×C17×#123C2211yescharacteristic
214C2×C17×#123C2211yescharacteristic
215C2×C17×C22⋊Q8C2211yescharacteristic, complemented
216C2×C17×C22⋊Q8C2211yescharacteristic, complemented
217C2×C17×C22⋊Q8C2211yescharacteristic, complemented
218C2×C17×C22⋊Q8C2211yescharacteristic, complemented
219C24×D17C2311yescharacteristic
220C24×D17C2311yescharacteristic
221C24×D17C2311yescharacteristic
222C22×Q8×C17C2311yescharacteristic
223C22×Q8×C17C2311yescharacteristic
224C22×Q8×C17C2311yescharacteristic
225C22×D4×C17C2311yescharacteristic
226C23×C4×C17C2311yescharacteristic
227C23×C4×C17C2311yescharacteristic
228C22×C22⋊D17C2311yescharacteristic
229C22×C22⋊D17C2311yescharacteristic
230C22×C22⋊D17C2311yescharacteristic
231C22×C22⋊D17C2311yescharacteristic
232C22×C22⋊D17C2311yescharacteristic
233C22×C22⋊D17C2311yescharacteristic
234C22×C22⋊D17C2311yescharacteristic
235C22×C22⋊D17C2311yescharacteristic
236C23×Dic17C2311yescharacteristic
237C2×#63256—44no—
238C2×#63256—44no—
239C2×#63256—44no—
240C2×#63256C2318yescomplemented
241C2×#63256C2318yescomplemented
242C2×#63256C2318yescomplemented
243C2×D4×D17—44no—
244C2×D4×D17C2318yes—
245C2×#63252—44no—
246C2×#63252C2318yescomplemented
247C22×D68—44no—
248C22×D68C2311yescharacteristic
249C22×D68C2311yescharacteristic
250C22×D68C2311yescharacteristic
251C22×D68C2311yescharacteristic
252C22×D68C2311yescharacteristic
253C22×D68C2311yescharacteristic
254C22×D68C2311yescharacteristic
255C22×D68C2311yescharacteristic
256C22×D68C2311yescharacteristic
257C22×D68C2311yescharacteristic
258C22×D68C2311yescharacteristic
259C22×D68C2311yescharacteristic
260C22×D68C2311yescharacteristic
261C22×D68C2311yescharacteristic
262C22×D68C2311yescharacteristic
263C22×D68C2311yescharacteristic
264C22×D68C2311yescharacteristic
265C22×D68C2311yescharacteristic
266C22×D68C2318yes—
267C22×C4×D17C2311yescharacteristic
268C22×C4×D17C2311yescharacteristic
269C22×C4×D17C2311yescharacteristic
270C22×C4×D17C2311yescharacteristic
271C22×C4×D17C2311yescharacteristic
272C22×C4×D17C2311yescharacteristic
273C22×C4×D17C2311yescharacteristic
274C22×C4×D17C2311yescharacteristic
275C22×C4×D17C2311yescharacteristic
276C22×C4×D17C2311yescharacteristic
277C22×C4×D17C2311yescharacteristic
278C22×C4×D17C2311yescharacteristic
279C22×C4×D17C2311yescharacteristic
280C22×C4×D17C2311yescharacteristic
281C22×C4×D17C2311yescharacteristic
282C22×C4×D17C2311yescharacteristic
283C22×C4×D17C2311yescharacteristic
284C22×C4×D17C2311yescharacteristic
285C22×C4×D17C2311yescharacteristic
286C22×Dic34C2311yescharacteristic
287C22×Dic34C2311yescharacteristic
288C17×C4⋊Q8C2318yescomplemented
289C17×C4⋊Q8C2318yescomplemented
290C17×#126C2318yescomplemented
291C17×#126C2318yescomplemented
292C17×#126C2318yescomplemented
293C17×#126C2318yescomplemented
294C17×#125C2318yescomplemented
295C17×#125C2318yescomplemented
296C17×#124C2318yes—
297C17×#123C2318yes—
298C17×#123C2318yes—
299C17×C22⋊Q8C2318yescomplemented
300C17×C22⋊Q8C2318yescomplemented
301C17×C22⋊Q8C2318yescomplemented
302C17×C22⋊Q8C2318yescomplemented
303C2×C4⋊C4×C17C2311yescharacteristic
304C2×C4⋊C4×C17C2311yescharacteristic
305C2×C4⋊C4×C17C2311yescharacteristic
306C2×C4⋊C4×C17C2311yescharacteristic
307C2×C4⋊C4×C17C2311yescharacteristic
308C2×C4⋊C4×C17C2311yescharacteristic
309C2×C4⋊C4×C17C2311yescharacteristic
310C2×C4⋊C4×C17C2311yescharacteristic
311C2×C4⋊C4×C17C2311yescharacteristic
312C2×C4⋊C4×C17C2311yescharacteristic
313C2×C4⋊C4×C17C2311yescharacteristic
314C2×C4⋊C4×C17C2311yescharacteristic
315C2×C4⋊C4×C17C2311yescharacteristic
316C2×C4⋊C4×C17C2311yescharacteristic
317C2×C4⋊C4×C17C2311yescharacteristic
318C2×C4⋊C4×C17C2311yescharacteristic
319C2×C22⋊C4×C17C2311yescharacteristic
320C2×C22⋊C4×C17C2311yescharacteristic
321C2×C22⋊C4×C17C2311yescharacteristic
322C2×C22⋊C4×C17C2311yescharacteristic
323C2×C22⋊C4×C17C2311yescharacteristic
324C2×C22⋊C4×C17C2311yescharacteristic
325C2×C22⋊C4×C17C2311yescharacteristic
326C2×C22⋊C4×C17C2311yescharacteristic
327C2×C22⋊C4×C17C2311yescharacteristic
328C2×C22⋊C4×C17C2311yescharacteristic
329C2×C42×C17C2311yescharacteristic
330C2×C42×C17C2311yescharacteristic
331C2×C42×C17C2311yescharacteristic
332C2×C22⋊Dic17C2311yescharacteristic
333C2×C22⋊Dic17C2311yescharacteristic
334C2×C22⋊Dic17C2311yescharacteristic
335C2×C22⋊Dic17C2311yescharacteristic
336#10587633C2318yes—
337#10587633C2318yes—
338#10587633C2318yescomplemented
339#10587633C2318yescomplemented
340#10587632C2318yescomplemented
341#10587632C2318yescomplemented
342#10587632C2318yescomplemented
343#10587632C2318yescomplemented
344#10587630C2318yescomplemented
345#10587625C2318yes—
346#10587624C2318yes—
347#10587623C2318yes—
348#10587616C2318yescomplemented
349#10587615C2318yes—
350C4×C22⋊D17C2318yescomplemented
351C4×C22⋊D17C2318yescomplemented
352C4×C22⋊D17C2318yescomplemented
353C2×#63227C2311yescharacteristic
354C2×#63227C2311yescharacteristic
355C2×#63227C2311yescharacteristic
356C2×#63227C2311yescharacteristic
357C2×#63227C2311yescharacteristic
358C2×#63227C2311yescharacteristic
359C2×#63227C2311yescharacteristic
360C2×#63227C2311yescharacteristic
361C2×#63227C2311yescharacteristic
362C2×#63227C2311yescharacteristic
363C2×#63227C2311yescharacteristic
364C2×#63227C2311yescharacteristic
365C2×#63227C2311yescharacteristic
366C2×#63227C2311yescharacteristic
367C2×#63227C2311yescharacteristic
368C2×#63227C2311yescharacteristic
369C2×#63227C2311yescharacteristic
370C2×#63227C2311yescharacteristic
371C2×#63227C2311yescharacteristic
372C2×#63227C2311yescharacteristic
373C2×#63227C2311yescharacteristic
374C2×#63227C2311yescharacteristic
375C2×#63227C2311yescharacteristic
376C2×#63227C2311yescharacteristic
377C2×#63227C2311yescharacteristic
378C2×#63227C2311yescharacteristic
379C2×#63227C2311yescharacteristic
380C2×#63227C2311yescharacteristic
381C2×#63227C2311yescharacteristic
382C2×#63227C2311yescharacteristic
383C2×#63227C2311yescharacteristic
384C2×#63227C2311yescharacteristic
385C2×#63227C2311yescharacteristic
386C2×#63227C2311yescharacteristic
387C2×#63227C2311yescharacteristic
388C2×#63227C2311yescharacteristic
389C2×#63227C2318yescomplemented
390C2×C4⋊Dic17C2311yescharacteristic
391C2×C4⋊Dic17C2311yescharacteristic
392C2×C4⋊Dic17C2311yescharacteristic
393C2×C4⋊Dic17C2311yescharacteristic
394C2×C4⋊Dic17C2311yescharacteristic
395C2×C4⋊Dic17C2311yescharacteristic
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×#63225C2311yescharacteristic
411C2×#63225C2311yescharacteristic
412C2×C4×Dic17C2311yescharacteristic
413C2×C4×Dic17C2311yescharacteristic
414C2×C4×Dic17C2311yescharacteristic
415C2×C4×Dic17C2311yescharacteristic
416C2×C4×Dic17C2311yescharacteristic
417C2×C4×Dic17C2311yescharacteristic
418C2×C4×Dic17C2311yescharacteristic
419#10587584C2318yescomplemented
420#10587584C2318yescomplemented
421#10587584C2318yescomplemented
422#10587584C2318yescomplemented
423#10587584C2318yescomplemented
424#10587584C2318yescomplemented
425#10587584C2318yescomplemented
426#10587584C2318yescomplemented
427#10587583C2318yescomplemented
428#10587583C2318yescomplemented
429#10587582C2318yescomplemented
430#10587582C2318yescomplemented
431#10587582C2318yescomplemented
432#10587582C2318yescomplemented
433#10587582C2318yescomplemented
434#10587581C2318yes—
435#10587581C2318yes—
436#10587581C2318yes—
437#10587581C2318yes—
438#10587581C2318yes—
439#10587581C2318yes—
440#10587581C2318yescomplemented
441#10587581C2318yescomplemented
442#10587581C2318yescomplemented
443#10587581C2318yescomplemented
444#10587581C2318yescomplemented
445#10587581C2318yescomplemented
446#10587581C2318yescomplemented
447#10587581C2318yescomplemented
448#10587580C2318yes—
449#10587580C2318yes—
450#10587580C2318yes—
451#10587580C2318yes—
452#10587580C2318yescomplemented
453#10587580C2318yescomplemented
454#10587580C2318yescomplemented
455#10587580C2318yescomplemented
456#10587580C2318yescomplemented
457#10587580C2318yescomplemented
458#10587580C2318yescomplemented
459#10587580C2318yescomplemented
460#10587580C2318yescomplemented
461#10587580C2318yescomplemented
462#10587580C2318yescomplemented
463#10587580C2318yescomplemented
464#10587579C2318yescomplemented
465#10587579C2318yescomplemented
466#10587579C2318yescomplemented
467#10587579C2318yescomplemented
468#10587579C2318yescomplemented
469#10587579C2318yescomplemented
470#10587579C2318yescomplemented
471#10587579C2318yescomplemented
472#10587578C2318yescomplemented
473#10587578C2318yescomplemented
474C4⋊C4×D17C2318yescomplemented
475C4⋊C4×D17C2318yescomplemented
476C4⋊C4×D17C2318yescomplemented
477C4⋊C4×D17C2318yescomplemented
478C4⋊C4×D17C2318yescomplemented
479#10587575C2318yescomplemented
480#10587575C2318yescomplemented
481#10587575C2318yescomplemented
482#10587573C2318yescomplemented
483#10587572C2318yescomplemented
484#10587571C2318yes—
485#10587571C2318yescomplemented
486#10587571C2318yescomplemented
487#10587570C2318yes—
488#10587570C2318yes—
489#10587570C2318yes—
490#10587570C2318yes—
491#10587570C2318yescomplemented
492#10587570C2318yescomplemented
493#10587570C2318yescomplemented
494#10587570C2318yescomplemented
495#10587570C2318yescomplemented
496#10587570C2318yescomplemented
497#10587569C2318yes—
498#10587569C2318yescomplemented
499#10587569C2318yescomplemented
500#10587569C2318yescomplemented
501#10587568C2318yes—
502#10587568C2318yes—
503#10587568C2318yes—
504#10587568C2318yes—
505#10587568C2318yes—
506#10587568C2318yescomplemented
507#10587568C2318yescomplemented
508#10587568C2318yescomplemented
509#10587568C2318yescomplemented
510#10587567C2318yescomplemented
511#10587567C2318yescomplemented
512#10587567C2318yescomplemented
513C22⋊C4×D17C2318yes—
514C22⋊C4×D17C2318yes—
515C22⋊C4×D17C2318yes—
516C22⋊C4×D17C2318yescomplemented
517C22⋊C4×D17C2318yescomplemented
518C22⋊C4×D17C2318yescomplemented
519#10587565C2318yescomplemented
520#10587565C2318yescomplemented
521#10587565C2318yescomplemented
522#10587563C2318yescomplemented
523#10587562C2318yescomplemented
524#10587562C2318yescomplemented
525#10587562C2318yescomplemented
526#10587561C2318yescomplemented
527#10587560C2318yescomplemented
528C4×D68C2318yescomplemented
529C4×D68C2318yescomplemented
530C4×D68C2318yescomplemented
531C4×D68C2318yescomplemented
532C4×D68C2318yescomplemented
533#10587558C2318yescomplemented
534C42×D17C2318yescomplemented
535C24×C17C2411yescharacteristic
536C24×C17C2411yescharacteristic
537C23×D17—24no—
538C23×D17—42no—
539C23×D17—42no—
540C23×D17—42no—
541C23×D17—42no—
542C23×D17—42no—
543C23×D17—42no—
544C23×D17—42no—
545C23×D17—42no—
546C23×D17C2411yescharacteristic
547C23×D17C2411yescharacteristic
548C23×D17C2411yescharacteristic
549C23×D17C2411yescharacteristic
550C23×D17C2411yescharacteristic
551C23×D17C2411yescharacteristic
552C23×D17C2411yescharacteristic
553C23×D17C2414yes—
554C23×D17C2414yes—
555C23×D17C2414yes—
556C2×Q8×C17—42no—
557C2×Q8×C17—42no—
558C2×Q8×C17—42no—
559C2×Q8×C17C2414yes—
560C2×Q8×C17C2414yes—
561C2×Q8×C17C2414yes—
562C2×D4×C17—42no—
563C2×D4×C17C2414yes—
564C22×C4×C17—42no—
565C22×C4×C17—42no—
566C22×C4×C17C2411yescharacteristic
567C22×C4×C17C2411yescharacteristic
568C22×C4×C17C2411yescharacteristic
569C22×C4×C17C2411yescharacteristic
570C22×C4×C17C2411yescharacteristic
571C22×C4×C17C2411yescharacteristic
572C22×C4×C17C2411yescharacteristic
573C22×C4×C17C2411yescharacteristic
574C22×C4×C17C2411yescharacteristic
575C22×C4×C17C2411yescharacteristic
576C22×C4×C17C2411yescharacteristic
577C22×C4×C17C2411yescharacteristic
578C22×C4×C17C2411yescharacteristic
579C22×C4×C17C2414yes—
580C22×C4×C17C2414yes—
581C2×C22⋊D17—24no—
582C2×C22⋊D17—42no—
583C2×C22⋊D17—42no—
584C2×C22⋊D17—42no—
585C2×C22⋊D17—42no—
586C2×C22⋊D17—42no—
587C2×C22⋊D17—42no—
588C2×C22⋊D17—42no—
589C2×C22⋊D17C2414yes—
590C2×C22⋊D17C2414yes—
591C2×C22⋊D17C2414yes—
592C2×C22⋊D17C2414yes—
593C2×C22⋊D17C2414yes—
594C2×C22⋊D17C2414yes—
595C2×C22⋊D17C2414yes—
596C2×C22⋊D17C2414yes—
597C22×Dic17—42no—
598C22×Dic17C2411yescharacteristic
599C22×Dic17C2411yescharacteristic
600C22×Dic17C2411yescharacteristic
601C22×Dic17C2411yescharacteristic
602C22×Dic17C2411yescharacteristic
603C22×Dic17C2411yescharacteristic
604C22×Dic17C2411yescharacteristic
605C22×Dic17C2411yescharacteristic
606C22×Dic17C2411yescharacteristic
607C22×Dic17C2414yes—
608#63256—416no—
609#63256—416no—
610#63256—416no—
611D4×D17—416no—
612#63252—416no—
613C2×D68—24no—
614C2×D68—24no—
615C2×D68—24no—
616C2×D68—24no—
617C2×D68—24no—
618C2×D68—416no—
619C2×D68—42no—
620C2×D68—42no—
621C2×D68—42no—
622C2×D68—42no—
623C2×D68—42no—
624C2×D68—42no—
625C2×D68—42no—
626C2×D68—42no—
627C2×D68—42no—
628C2×D68—42no—
629C2×D68—42no—
630C2×D68—42no—
631C2×D68—42no—
632C2×D68C2414yes—
633C2×D68C2414yes—
634C2×D68C2414yes—
635C2×D68C2414yes—
636C2×D68C2414yes—
637C2×D68C2414yes—
638C2×D68C2414yes—
639C2×D68C2414yes—
640C2×D68C2414yes—
641C2×D68C2414yes—
642C2×D68C2414yes—
643C2×D68C2414yes—
644C2×D68C2414yes—
645C2×D68C2414yes—
646C2×D68C2414yes—
647C2×D68C2414yes—
648C2×D68C2414yes—
649C2×D68C2414yes—
650C2×C4×D17—24no—
651C2×C4×D17—24no—
652C2×C4×D17—42no—
653C2×C4×D17—42no—
654C2×C4×D17—42no—
655C2×C4×D17—42no—
656C2×C4×D17—42no—
657C2×C4×D17—42no—
658C2×C4×D17—42no—
659C2×C4×D17—42no—
660C2×C4×D17—42no—
661C2×C4×D17—42no—
662C2×C4×D17—42no—
663C2×C4×D17—42no—
664C2×C4×D17—42no—
665C2×C4×D17—42no—
666C2×C4×D17—42no—
667C2×C4×D17—42no—
668C2×C4×D17—42no—
669C2×C4×D17C2414yes—
670C2×C4×D17C2414yes—
671C2×C4×D17C2414yes—
672C2×C4×D17C2414yes—
673C2×C4×D17C2414yes—
674C2×C4×D17C2414yes—
675C2×C4×D17C2414yes—
676C2×C4×D17C2414yes—
677C2×C4×D17C2414yes—
678C2×C4×D17C2414yes—
679C2×C4×D17C2414yes—
680C2×C4×D17C2414yes—
681C2×C4×D17C2414yes—
682C2×C4×D17C2414yes—
683C2×C4×D17C2414yes—
684C2×C4×D17C2414yes—
685C2×C4×D17C2414yes—
686C2×C4×D17C2414yes—
687C2×C4×D17C2414yes—
688C2×Dic34—42no—
689C2×Dic34—42no—
690C2×Dic34C2414yes—
691C2×Dic34C2414yes—
692C4⋊C4×C17C2414yes—
693C4⋊C4×C17C2414yes—
694C4⋊C4×C17C2414yes—
695C4⋊C4×C17C2414yes—
696C4⋊C4×C17C2414yes—
697C4⋊C4×C17C2414yes—
698C4⋊C4×C17C2414yes—
699C4⋊C4×C17C2414yes—
700C4⋊C4×C17C2414yes—
701C4⋊C4×C17C2414yes—
702C4⋊C4×C17C2414yes—
703C4⋊C4×C17C2414yes—
704C4⋊C4×C17C2414yes—
705C4⋊C4×C17C2414yes—
706C4⋊C4×C17C2414yes—
707C4⋊C4×C17C2414yes—
708C22⋊C4×C17C2414yes—
709C22⋊C4×C17C2414yes—
710C22⋊C4×C17C2414yes—
711C22⋊C4×C17C2414yes—
712C22⋊C4×C17C2414yes—
713C22⋊C4×C17C2414yes—
714C22⋊C4×C17C2414yes—
715C22⋊C4×C17C2414yes—
716C22⋊C4×C17C2414yes—
717C22⋊C4×C17C2414yes—
718C42×C17C2414yes—
719C42×C17C2414yes—
720C42×C17C2414yes—
721C22⋊Dic17C2414yes—
722C22⋊Dic17C2414yes—
723C22⋊Dic17C2414yes—
724C22⋊Dic17C2414yes—
725#63227C2414yes—
726#63227C2414yes—
727#63227C2414yes—
728#63227C2414yes—
729#63227C2414yes—
730#63227C2414yes—
731#63227C2414yes—
732#63227C2414yes—
733#63227C2414yes—
734#63227C2414yes—
735#63227C2414yes—
736#63227C2414yes—
737#63227C2414yes—
738#63227C2414yes—
739#63227C2414yes—
740#63227C2414yes—
741#63227C2414yes—
742#63227C2414yes—
743#63227C2414yes—
744#63227C2414yes—
745#63227C2414yes—
746#63227C2414yes—
747#63227C2414yes—
748#63227C2414yes—
749#63227C2414yes—
750#63227C2414yes—
751#63227C2414yes—
752#63227C2414yes—
753#63227C2414yes—
754#63227C2414yes—
755#63227C2414yes—
756#63227C2414yes—
757#63227C2414yes—
758#63227C2414yes—
759#63227C2414yes—
760#63227C2414yes—
761C4⋊Dic17C2414yes—
762C4⋊Dic17C2414yes—
763C4⋊Dic17C2414yes—
764C4⋊Dic17C2414yes—
765C4⋊Dic17C2414yes—
766C4⋊Dic17C2414yes—
767#63225C2414yes—
768#63225C2414yes—
769#63225C2414yes—
770#63225C2414yes—
771#63225C2414yes—
772#63225C2414yes—
773#63225C2414yes—
774#63225C2414yes—
775#63225C2414yes—
776#63225C2414yes—
777#63225C2414yes—
778#63225C2414yes—
779#63225C2414yes—
780#63225C2414yes—
781#63225C2414yes—
782#63225C2414yes—
783C4×Dic17C2414yes—
784C4×Dic17C2414yes—
785C4×Dic17C2414yes—
786C4×Dic17C2414yes—
787C4×Dic17C2414yes—
788C4×Dic17C2414yes—
789C4×Dic17C2414yes—
790C2×#3560—171nomaximal, Sylow
791C23×C17—22no—
792C23×C17—22no—
793C23×C17—22no—
794C23×C17—22no—
795C23×C17—22no—
796C23×C17—22no—
797C23×C17C2512yes—
798C23×C17C2512yes—
799C23×C17C2511yescharacteristic
800C22×D17—22no—
801C22×D17—22no—
802C22×D17—22no—
803C22×D17—22no—
804C22×D17—22no—
805C22×D17—22no—
806C22×D17—22no—
807C22×D17—22no—
808C22×D17—22no—
809C22×D17—22no—
810C22×D17—22no—
811C22×D17—22no—
812C22×D17—22no—
813C22×D17—22no—
814C22×D17—22no—
815C22×D17—22no—
816C22×D17—22no—
817C22×D17—22no—
818C22×D17—22no—
819C22×D17—22no—
820C22×D17—28no—
821C22×D17—44no—
822C22×D17—44no—
823C22×D17—44no—
824C22×D17—44no—
825C22×D17—44no—
826C22×D17—44no—
827C22×D17—44no—
828C22×D17—44no—
829C22×D17—88no—
830C22×D17—88no—
831C22×D17—88no—
832C22×D17H(5,𝔽2)14yes—
833C22×D17C2512yes—
834C22×D17C2512yes—
835C22×D17C2512yes—
836C22×D17C2512yes—
837C22×D17C2512yes—
838C22×D17C2512yes—
839C22×D17C2512yes—
840Q8×C17—44no—
841Q8×C17—44no—
842Q8×C17—44no—
843D4×C17—44no—
844C2×C4×C17—22no—
845C2×C4×C17—22no—
846C2×C4×C17—22no—
847C2×C4×C17—22no—
848C2×C4×C17—22no—
849C2×C4×C17—22no—
850C2×C4×C17—22no—
851C2×C4×C17—22no—
852C2×C4×C17—22no—
853C2×C4×C17—22no—
854C2×C4×C17—22no—
855C2×C4×C17—22no—
856C2×C4×C17—22no—
857C2×C4×C17—44no—
858C2×C4×C17—44no—
859C2×C4×C17C2512yes—
860C2×C4×C17C2512yes—
861C2×C4×C17C2512yes—
862C2×C4×C17C2512yes—
863C2×C4×C17C2512yes—
864C2×C4×C17C2512yes—
865C2×C4×C17C2512yes—
866C2×C4×C17C2512yes—
867C2×C4×C17C2512yes—
868C2×C4×C17C2512yes—
869C2×C4×C17C2512yes—
870C2×C4×C17C2512yes—
871C2×C4×C17C2512yes—
872C22⋊D17—28no—
873C22⋊D17—44no—
874C22⋊D17—44no—
875C22⋊D17—44no—
876C22⋊D17—44no—
877C22⋊D17—44no—
878C22⋊D17—44no—
879C22⋊D17—44no—
880C2×Dic17—22no—
881C2×Dic17—22no—
882C2×Dic17—22no—
883C2×Dic17—22no—
884C2×Dic17—22no—
885C2×Dic17—22no—
886C2×Dic17—22no—
887C2×Dic17—22no—
888C2×Dic17—22no—
889C2×Dic17—44no—
890C2×Dic17C2512yes—
891C2×Dic17C2512yes—
892C2×Dic17C2512yes—
893C2×Dic17C2512yes—
894C2×Dic17C2512yes—
895C2×Dic17C2512yes—
896C2×Dic17C2512yes—
897C2×Dic17C2512yes—
898C2×Dic17C2512yes—
899D68—28no—
900D68—28no—
901D68—28no—
902D68—28no—
903D68—28no—
904D68—44no—
905D68—44no—
906D68—44no—
907D68—44no—
908D68—44no—
909D68—44no—
910D68—44no—
911D68—44no—
912D68—44no—
913D68—44no—
914D68—44no—
915D68—44no—
916D68—44no—
917C4×D17—28no—
918C4×D17—28no—
919C4×D17—44no—
920C4×D17—44no—
921C4×D17—44no—
922C4×D17—44no—
923C4×D17—44no—
924C4×D17—44no—
925C4×D17—44no—
926C4×D17—44no—
927C4×D17—44no—
928C4×D17—44no—
929C4×D17—44no—
930C4×D17—44no—
931C4×D17—44no—
932C4×D17—44no—
933C4×D17—44no—
934C4×D17—44no—
935C4×D17—44no—
936Dic34—44no—
937Dic34—44no—
938#3560—1732no—
939C2×#563—171no—
940C2×#563D1711yescharacteristic, complemented
941C2×#560—171no—
942C2×#560—171no—
943C2×#553—171no—
944C2×#553—171no—
945C2×#553—171no—
946C2×#553—171no—
947C2×#551—171no—
948C2×#551—171no—
949C2×#547—171no—
950C2×#547—171no—
951C2×#546—171no—
952C2×#546—171no—
953C2×#546—171no—
954C2×#546—171no—
955C2×#542—171no—
956C2×#542—171no—
957C2×#539—171no—
958C2×#539—171no—
959C2×#539—171no—
960C2×#538—171no—
961C2×#538—171no—
962C2×#538—171no—
963C2×#538—171no—
964C2×#538—171no—
965C2×#537—171no—
966C2×#534—171no—
967C2×#532—171no—
968C2×#529—171no—
969C22×#126—171no—
970C22×C17—22no—
971C22×C17—22no—
972C22×C17—22no—
973C22×C17—22no—
974C22×C17—22no—
975C22×C17—22no—
976C22×C17—44no—
977C22×C17—44no—
978C22×C17C2×H(5,𝔽2)12yes—
979C22×C17#58512yes—
980C22×C17#58512yes—
981C22×C17C2611yescharacteristic
982C2×D17—22no—
983C2×D17—22no—
984C2×D17—28no—
985C2×D17—22no—
986C2×D17—22no—
987C2×D17—22no—
988C2×D17—22no—
989C2×D17—22no—
990C2×D17—22no—
991C2×D17—22no—
992C2×D17—22no—
993C2×D17—22no—
994C2×D17—22no—
995C2×D17—22no—
996C2×D17—22no—
997C2×D17—22no—
998C2×D17—22no—
999C2×D17—22no—
1000C2×D17—22no—
1001C2×D17—22no—
1002C2×D17—22no—
1003C2×D17—44no—
1004C2×D17—44no—
1005C2×D17—44no—
1006C2×D17—44no—
1007C2×D17—44no—
1008C2×D17—44no—
1009C2×D17—88no—
1010C2×D17—88no—
1011C2×D17—88no—
1012C2×D17C2×H(5,𝔽2)14yes—
1013C4×C17—22no—
1014C4×C17—22no—
1015C4×C17—22no—
1016C4×C17—22no—
1017C4×C17—22no—
1018C4×C17—22no—
1019C4×C17—22no—
1020C4×C17—22no—
1021C4×C17—22no—
1022C4×C17—22no—
1023C4×C17—22no—
1024C4×C17—22no—
1025C4×C17—22no—
1026Dic17—22no—
1027Dic17—22no—
1028Dic17—22no—
1029Dic17—22no—
1030Dic17—22no—
1031Dic17—22no—
1032Dic17—22no—
1033Dic17—22no—
1034Dic17—22no—
1035C22×#41—171no—
1036C22×#41—171no—
1037C22×#41—171no—
1038C22×#41—171no—
1039C23×D4—171no—
1040C23×D4—171no—
1041#563—1716no—
1042#563C2×D17116yescomplemented
1043#560—1716no—
1044#560—1716no—
1045#553—1716no—
1046#553—1716no—
1047#553—1716no—
1048#553—1716no—
1049#551—1716no—
1050#551—1716no—
1051#547—1716no—
1052#547—1716no—
1053#546—1716no—
1054#546—1716no—
1055#546—1716no—
1056#546—1716no—
1057#542—1716no—
1058#542—1716no—
1059#539—1716no—
1060#539—1716no—
1061#539—1716no—
1062#538—1716no—
1063#538—1716no—
1064#538—1716no—
1065#538—1716no—
1066#538—1716no—
1067#537—1716no—
1068#534—1716no—
1069#532—1716no—
1070C2×C4⋊Q8—171no—
1071C2×C4⋊Q8C2×D1711yescharacteristic, complemented
1072C2×C4⋊Q8C2×D1711yescharacteristic, complemented
1073C2×#127—171no—
1074#529—1716no—
1075C2×#126—1716no—
1076C2×#126—171no—
1077C2×#126—171no—
1078C2×#126—171no—
1079C2×#126—171no—
1080C2×#126—171no—
1081C2×#126—171no—
1082C2×#126—171no—
1083C2×#126—171no—
1084C2×#126—171no—
1085C2×#126—171no—
1086C2×#126—171no—
1087C2×#126—171no—
1088C2×#126—171no—
1089C2×#126—171no—
1090C2×#126C2×D1711yescharacteristic, complemented
1091C2×#126C2×D1711yescharacteristic, complemented
1092C2×#126C2×D1711yescharacteristic, complemented
1093C2×#126C2×D1711yescharacteristic, complemented
1094C2×#125—171no—
1095C2×#125—171no—
1096C2×#125—171no—
1097C2×#125C2×D1711yescharacteristic, complemented
1098C2×#125C2×D1711yescharacteristic, complemented
1099C2×#124—171no—
1100C2×#124—171no—
1101C2×#124—171no—
1102C2×#124—171no—
1103C2×#124—171no—
1104C2×#124—171no—
1105C2×#124—171no—
1106C2×#124—171no—
1107C2×#124C2×D1711yescharacteristic
1108C2×#123—171no—
1109C2×#123—171no—
1110C2×#123—171no—
1111C2×#123—171no—
1112C2×#123—171no—
1113C2×#123—171no—
1114C2×#123—171no—
1115C2×#123—171no—
1116C2×#123—171no—
1117C2×#123—171no—
1118C2×#123—171no—
1119C2×#123—171no—
1120C2×#123—171no—
1121C2×#123—171no—
1122C2×#123—171no—
1123C2×#123—171no—
1124C2×#123—171no—
1125C2×#123—171no—
1126C2×#123—171no—
1127C2×#123—171no—
1128C2×#123—171no—
1129C2×#123—171no—
1130C2×#123C2×D1711yescharacteristic
1131C2×#123C2×D1711yescharacteristic
1132C2×C22⋊Q8—171no—
1133C2×C22⋊Q8—171no—
1134C2×C22⋊Q8—171no—
1135C2×C22⋊Q8—171no—
1136C2×C22⋊Q8—171no—
1137C2×C22⋊Q8—171no—
1138C2×C22⋊Q8—171no—
1139C2×C22⋊Q8—171no—
1140C2×C22⋊Q8—171no—
1141C2×C22⋊Q8—171no—
1142C2×C22⋊Q8—171no—
1143C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1144C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1145C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1146C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1147C2×#121—171no—
1148C2×#121—171no—
1149C2×#121—171no—
1150C2×#121—171no—
1151C2×#121—171no—
1152C2×#121—171no—
1153C2×#121—171no—
1154C2×#121—171no—
1155C2×#121—171no—
1156C2×#121—171no—
1157C2×#121—171no—
1158C2×#121—171no—
1159C2×#121—171no—
1160C2×#121—171no—
1161C2×#121—171no—
1162C2×#121—171no—
1163C2×#121—171no—
1164C2×#121—171no—
1165C2×#121—171no—
1166C2×#121—171no—
1167C2×#121—171no—
1168C2×#121—171no—
1169C2×#121—171no—
1170C2×#121—171no—
1171C2×#121—171no—
1172C2×#121—171no—
1173C2×#121—171no—
1174C2×#120—171no—
1175C2×#120—171no—
1176C2×#120—171no—
1177C2×#120—171no—
1178C2×#120—171no—
1179C2×#120—171no—
1180C2×#120—171no—
1181C2×#120—171no—
1182C2×#120—171no—
1183C2×#120—171no—
1184C2×C4×Q8—171no—
1185C2×C4×D4—171no—
1186C2×C4×D4—171no—
1187C2×C4×D4—171no—
1188C2×C4×D4—171no—
1189C2×C4×D4—171no—
1190C2×C4×D4—171no—
1191C2×C4×D4—171no—
1192C2×C4×D4—171no—
1193C2×C4×D4—171no—
1194C2×C4×D4—171no—
1195C2×C4×D4—171no—
1196C2×C4×D4—171no—
1197C2×C4×D4—171no—
1198C2×C4×D4—171no—
1199C2×C4×D4—171no—
1200C2×C4×D4—171no—
1201C2×C4×D4—171no—
1202C2×C4×D4—171no—
1203C2×C4×D4—171no—
1204C2×#117—171no—
1205C2×#117—171no—
1206C2×#117—171no—
1207C2×#117—171no—
1208C22×C4⋊C4—171no—
1209C22×C4⋊C4—171no—
1210C22×C4⋊C4—171no—
1211C22×C4⋊C4—171no—
1212C22×C4⋊C4—171no—
1213C22×C22⋊C4—171no—
1214C22×C22⋊C4—171no—
1215C22×C22⋊C4—171no—
1216C22×C22⋊C4—171no—
1217C22×C22⋊C4—171no—
1218C22×C22⋊C4—171no—
1219C22×C22⋊C4—171no—
1220C22×C42—171no—
1221C2×C17—42no—
1222C2×C17—42no—
1223C2×C17#356014yescomplemented
1224C2×C17C22×H(5,𝔽2)11yescharacteristic
1225C2×C17C2×#58511yescharacteristic
1226C2×C17C2×#58511yescharacteristic
1227D17—24no—
1228D17—42no—
1229D17—42no—
1230D17—42no—
1231D17—42no—
1232D17—42no—
1233D17—42no—
1234C25—171no—
1235C25—171no—
1236C25—171no—
1237C2×#41—178no—
1238C2×#41—178no—
1239C2×#41—178no—
1240C2×#41—178no—
1241C2×#41—684no—
1242C2×#41—684no—
1243C2×#41—684no—
1244C2×#41—684no—
1245C22×Q8—171no—
1246C22×Q8—171no—
1247C22×Q8C22×D1711yescharacteristic
1248C22×Q8C22×D1711yescharacteristic
1249C22×Q8C22×D1711yescharacteristic
1250C22×D4—171no—
1251C22×D4—171no—
1252C22×D4—171no—
1253C22×D4—171no—
1254C22×D4—171no—
1255C22×D4—171no—
1256C22×D4—171no—
1257C22×D4—171no—
1258C22×D4—178no—
1259C22×D4—171no—
1260C22×D4—171no—
1261C22×D4—171no—
1262C22×D4—171no—
1263C22×D4—171no—
1264C22×D4—171no—
1265C22×D4—171no—
1266C22×D4—171no—
1267C22×D4—171no—
1268C22×D4—171no—
1269C22×D4—171no—
1270C22×D4—171no—
1271C22×D4—171no—
1272C22×D4—171no—
1273C22×D4—171no—
1274C22×D4—171no—
1275C22×D4—171no—
1276C22×D4—171no—
1277C22×D4—178no—
1278C22×D4—684no—
1279C22×D4—684no—
1280C22×D4C22×D1711yescharacteristic
1281C23×C4—171no—
1282C23×C4—171no—
1283C23×C4—171no—
1284C23×C4—171no—
1285C23×C4—171no—
1286C23×C4—171no—
1287C23×C4—171no—
1288C23×C4—171no—
1289C23×C4—171no—
1290C23×C4—171no—
1291C23×C4—171no—
1292C23×C4—171no—
1293C23×C4—171no—
1294C23×C4—171no—
1295C23×C4—171no—
1296C23×C4—171no—
1297C23×C4—171no—
1298C23×C4—171no—
1299C23×C4—171no—
1300C23×C4—171no—
1301C23×C4C22×D1711yescharacteristic
1302C23×C4C22×D1711yescharacteristic
1303C4⋊Q8—178no—
1304C4⋊Q8C22×D1718yescomplemented
1305C4⋊Q8C22×D1718yescomplemented
1306#127—178no—
1307#126—178no—
1308#126—178no—
1309#126—178no—
1310#126—178no—
1311#126—178no—
1312#126—178no—
1313#126—178no—
1314#126—178no—
1315#126—178no—
1316#126—178no—
1317#126—178no—
1318#126—178no—
1319#126—178no—
1320#126—178no—
1321#126C22×D1718yescomplemented
1322#126C22×D1718yescomplemented
1323#126C22×D1718yescomplemented
1324#126C22×D1718yescomplemented
1325#125—178no—
1326#125—178no—
1327#125—178no—
1328#125C22×D1718yescomplemented
1329#125C22×D1718yescomplemented
1330#124—178no—
1331#124—178no—
1332#124—178no—
1333#124—178no—
1334#124—178no—
1335#124—178no—
1336#124—178no—
1337#124—178no—
1338#124C22×D1718yes—
1339#123—178no—
1340#123—178no—
1341#123—178no—
1342#123—178no—
1343#123—178no—
1344#123—178no—
1345#123—178no—
1346#123—178no—
1347#123—178no—
1348#123—178no—
1349#123—178no—
1350#123—178no—
1351#123—178no—
1352#123—178no—
1353#123—178no—
1354#123—178no—
1355#123—178no—
1356#123—178no—
1357#123—178no—
1358#123—178no—
1359#123—178no—
1360#123—178no—
1361#123C22×D1718yes—
1362#123C22×D1718yes—
1363C22⋊Q8—178no—
1364C22⋊Q8—178no—
1365C22⋊Q8—178no—
1366C22⋊Q8—178no—
1367C22⋊Q8—178no—
1368C22⋊Q8—178no—
1369C22⋊Q8—178no—
1370C22⋊Q8—178no—
1371C22⋊Q8—178no—
1372C22⋊Q8—178no—
1373C22⋊Q8—178no—
1374C22⋊Q8C22×D1718yescomplemented
1375C22⋊Q8C22×D1718yescomplemented
1376C22⋊Q8C22×D1718yescomplemented
1377C22⋊Q8C22×D1718yescomplemented
1378#121—178no—
1379#121—178no—
1380#121—178no—
1381#121—178no—
1382#121—178no—
1383#121—178no—
1384#121—178no—
1385#121—178no—
1386#121—178no—
1387#121—178no—
1388#121—178no—
1389#121—178no—
1390#121—178no—
1391#121—178no—
1392#121—178no—
1393#121—178no—
1394#121—178no—
1395#121—178no—
1396#121—178no—
1397#121—178no—
1398#121—178no—
1399#121—178no—
1400#121—178no—
1401#121—178no—
1402#121—178no—
1403#121—178no—
1404#121—178no—
1405#120—178no—
1406#120—178no—
1407#120—178no—
1408#120—178no—
1409#120—178no—
1410#120—178no—
1411#120—178no—
1412#120—178no—
1413#120—178no—
1414#120—178no—
1415C4×Q8—178no—
1416C4×D4—178no—
1417C4×D4—178no—
1418C4×D4—178no—
1419C4×D4—178no—
1420C4×D4—178no—
1421C4×D4—178no—
1422C4×D4—178no—
1423C4×D4—178no—
1424C4×D4—178no—
1425C4×D4—178no—
1426C4×D4—178no—
1427C4×D4—178no—
1428C4×D4—178no—
1429C4×D4—178no—
1430C4×D4—178no—
1431C4×D4—178no—
1432C4×D4—178no—
1433C4×D4—178no—
1434C4×D4—178no—
1435#117—178no—
1436#117—178no—
1437#117—178no—
1438#117—178no—
1439C2×C4⋊C4—171no—
1440C2×C4⋊C4—171no—
1441C2×C4⋊C4—171no—
1442C2×C4⋊C4—171no—
1443C2×C4⋊C4—171no—
1444C2×C4⋊C4—171no—
1445C2×C4⋊C4—171no—
1446C2×C4⋊C4—171no—
1447C2×C4⋊C4—171no—
1448C2×C4⋊C4—171no—
1449C2×C4⋊C4—171no—
1450C2×C4⋊C4—171no—
1451C2×C4⋊C4—171no—
1452C2×C4⋊C4—171no—
1453C2×C4⋊C4—171no—
1454C2×C4⋊C4—171no—
1455C2×C4⋊C4—171no—
1456C2×C4⋊C4—171no—
1457C2×C4⋊C4—171no—
1458C2×C4⋊C4—171no—
1459C2×C4⋊C4—171no—
1460C2×C4⋊C4—171no—
1461C2×C4⋊C4—178no—
1462C2×C4⋊C4—178no—
1463C2×C4⋊C4—178no—
1464C2×C4⋊C4—178no—
1465C2×C4⋊C4—178no—
1466C2×C4⋊C4C22×D1711yescharacteristic
1467C2×C4⋊C4C22×D1711yescharacteristic
1468C2×C4⋊C4C22×D1711yescharacteristic
1469C2×C4⋊C4C22×D1711yescharacteristic
1470C2×C4⋊C4C22×D1711yescharacteristic
1471C2×C4⋊C4C22×D1711yescharacteristic
1472C2×C4⋊C4C22×D1711yescharacteristic
1473C2×C4⋊C4C22×D1711yescharacteristic
1474C2×C4⋊C4C22×D1711yescharacteristic
1475C2×C4⋊C4C22×D1711yescharacteristic
1476C2×C4⋊C4C22×D1711yescharacteristic
1477C2×C4⋊C4C22×D1711yescharacteristic
1478C2×C4⋊C4C22×D1711yescharacteristic
1479C2×C4⋊C4C22×D1711yescharacteristic
1480C2×C4⋊C4C22×D1711yescharacteristic
1481C2×C4⋊C4C22×D1711yescharacteristic
1482C2×C22⋊C4—171no—
1483C2×C22⋊C4—171no—
1484C2×C22⋊C4—171no—
1485C2×C22⋊C4—171no—
1486C2×C22⋊C4—171no—
1487C2×C22⋊C4—171no—
1488C2×C22⋊C4—171no—
1489C2×C22⋊C4—171no—
1490C2×C22⋊C4—171no—
1491C2×C22⋊C4—171no—
1492C2×C22⋊C4—171no—
1493C2×C22⋊C4—171no—
1494C2×C22⋊C4—171no—
1495C2×C22⋊C4—171no—
1496C2×C22⋊C4—171no—
1497C2×C22⋊C4—171no—
1498C2×C22⋊C4—171no—
1499C2×C22⋊C4—171no—
1500C2×C22⋊C4—178no—
1501C2×C22⋊C4—171no—
1502C2×C22⋊C4—171no—
1503C2×C22⋊C4—171no—
1504C2×C22⋊C4—171no—
1505C2×C22⋊C4—171no—
1506C2×C22⋊C4—171no—
1507C2×C22⋊C4—171no—
1508C2×C22⋊C4—171no—
1509C2×C22⋊C4—171no—
1510C2×C22⋊C4—171no—
1511C2×C22⋊C4—171no—
1512C2×C22⋊C4—171no—
1513C2×C22⋊C4—171no—
1514C2×C22⋊C4—171no—
1515C2×C22⋊C4—171no—
1516C2×C22⋊C4—171no—
1517C2×C22⋊C4—171no—
1518C2×C22⋊C4—171no—
1519C2×C22⋊C4—171no—
1520C2×C22⋊C4—171no—
1521C2×C22⋊C4—171no—
1522C2×C22⋊C4—171no—
1523C2×C22⋊C4—178no—
1524C2×C22⋊C4—178no—
1525C2×C22⋊C4—178no—
1526C2×C22⋊C4—178no—
1527C2×C22⋊C4—178no—
1528C2×C22⋊C4—178no—
1529C2×C22⋊C4C22×D1711yescharacteristic
1530C2×C22⋊C4C22×D1711yescharacteristic
1531C2×C22⋊C4C22×D1711yescharacteristic
1532C2×C22⋊C4C22×D1711yescharacteristic
1533C2×C22⋊C4C22×D1711yescharacteristic
1534C2×C22⋊C4C22×D1711yescharacteristic
1535C2×C22⋊C4C22×D1711yescharacteristic
1536C2×C22⋊C4C22×D1711yescharacteristic
1537C2×C22⋊C4C22×D1711yescharacteristic
1538C2×C22⋊C4C22×D1711yescharacteristic
1539C2×C42—171no—
1540C2×C42—171no—
1541C2×C42—171no—
1542C2×C42—171no—
1543C2×C42—171no—
1544C2×C42—171no—
1545C2×C42—171no—
1546C2×C42—178no—
1547C2×C42C22×D1711yescharacteristic
1548C2×C42C22×D1711yescharacteristic
1549C2×C42C22×D1711yescharacteristic
1550C17C2×#356011yescharacteristic, complemented, Sylow
1551C24—171no—
1552C24—171no—
1553C24—171no—
1554C24—171no—
1555C24—171no—
1556C24—171no—
1557C24—171no—
1558C24—174no—
1559C24—174no—
1560C24—174no—
1561C24—344no—
1562C24—682no—
1563C24—682no—
1564C24—682no—
1565C24—682no—
1566C24—682no—
1567C24—682no—
1568C24—682no—
1569C24—682no—
1570C24C23×D1711yescharacteristic
1571C24C23×D1711yescharacteristic
1572#41—6816no—
1573#41—6816no—
1574#41—6816no—
1575#41—6816no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—42no—
1579C2×Q8—174no—
1580C2×Q8—174no—
1581C2×Q8—682no—
1582C2×Q8—682no—
1583C2×Q8C23×D1714yes—
1584C2×Q8C23×D1714yes—
1585C2×Q8C23×D1714yes—
1586C2×D4—42no—
1587C2×D4—174no—
1588C2×D4—174no—
1589C2×D4—174no—
1590C2×D4—174no—
1591C2×D4—174no—
1592C2×D4—174no—
1593C2×D4—174no—
1594C2×D4—174no—
1595C2×D4—174no—
1596C2×D4—174no—
1597C2×D4—174no—
1598C2×D4—174no—
1599C2×D4—174no—
1600C2×D4—174no—
1601C2×D4—174no—
1602C2×D4—174no—
1603C2×D4—174no—
1604C2×D4—174no—
1605C2×D4—174no—
1606C2×D4—174no—
1607C2×D4—174no—
1608C2×D4—174no—
1609C2×D4—174no—
1610C2×D4—174no—
1611C2×D4—174no—
1612C2×D4—174no—
1613C2×D4—344no—
1614C2×D4—344no—
1615C2×D4—344no—
1616C2×D4—344no—
1617C2×D4—344no—
1618C2×D4—344no—
1619C2×D4—682no—
1620C2×D4—682no—
1621C2×D4—682no—
1622C2×D4—682no—
1623C2×D4—682no—
1624C2×D4—682no—
1625C2×D4—682no—
1626C2×D4—682no—
1627C2×D4—682no—
1628C2×D4—682no—
1629C2×D4—682no—
1630C2×D4—682no—
1631C2×D4—682no—
1632C2×D4—6816no—
1633C2×D4—682no—
1634C2×D4—682no—
1635C2×D4—682no—
1636C2×D4—682no—
1637C2×D4—682no—
1638C2×D4—682no—
1639C2×D4—682no—
1640C2×D4—6816no—
1641C2×D4C23×D1714yes—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—171no—
1645C22×C4—171no—
1646C22×C4—171no—
1647C22×C4—171no—
1648C22×C4—171no—
1649C22×C4—171no—
1650C22×C4—171no—
1651C22×C4—171no—
1652C22×C4—171no—
1653C22×C4—174no—
1654C22×C4—174no—
1655C22×C4—174no—
1656C22×C4—174no—
1657C22×C4—174no—
1658C22×C4—174no—
1659C22×C4—174no—
1660C22×C4—174no—
1661C22×C4—174no—
1662C22×C4—174no—
1663C22×C4—174no—
1664C22×C4—174no—
1665C22×C4—174no—
1666C22×C4—174no—
1667C22×C4—174no—
1668C22×C4—174no—
1669C22×C4—174no—
1670C22×C4—174no—
1671C22×C4—174no—
1672C22×C4—174no—
1673C22×C4—344no—
1674C22×C4—344no—
1675C22×C4—682no—
1676C22×C4—682no—
1677C22×C4—682no—
1678C22×C4—682no—
1679C22×C4—682no—
1680C22×C4—682no—
1681C22×C4—682no—
1682C22×C4—682no—
1683C22×C4—682no—
1684C22×C4—682no—
1685C22×C4—682no—
1686C22×C4—682no—
1687C22×C4—682no—
1688C22×C4—682no—
1689C22×C4—682no—
1690C22×C4—682no—
1691C22×C4—682no—
1692C22×C4—682no—
1693C22×C4C23×D1711yescharacteristic
1694C22×C4C23×D1711yescharacteristic
1695C22×C4C23×D1711yescharacteristic
1696C22×C4C23×D1711yescharacteristic
1697C22×C4C23×D1711yescharacteristic
1698C22×C4C23×D1711yescharacteristic
1699C22×C4C23×D1711yescharacteristic
1700C22×C4C23×D1711yescharacteristic
1701C22×C4C23×D1711yescharacteristic
1702C22×C4C23×D1711yescharacteristic
1703C22×C4C23×D1711yescharacteristic
1704C22×C4C23×D1711yescharacteristic
1705C22×C4C23×D1711yescharacteristic
1706C22×C4C23×D1714yes—
1707C22×C4C23×D1714yes—
1708C4⋊C4—174no—
1709C4⋊C4—174no—
1710C4⋊C4—174no—
1711C4⋊C4—174no—
1712C4⋊C4—174no—
1713C4⋊C4—174no—
1714C4⋊C4—174no—
1715C4⋊C4—174no—
1716C4⋊C4—174no—
1717C4⋊C4—174no—
1718C4⋊C4—174no—
1719C4⋊C4—174no—
1720C4⋊C4—174no—
1721C4⋊C4—174no—
1722C4⋊C4—174no—
1723C4⋊C4—174no—
1724C4⋊C4—174no—
1725C4⋊C4—174no—
1726C4⋊C4—174no—
1727C4⋊C4—174no—
1728C4⋊C4—174no—
1729C4⋊C4—174no—
1730C4⋊C4C23×D1714yes—
1731C4⋊C4C23×D1714yes—
1732C4⋊C4C23×D1714yes—
1733C4⋊C4C23×D1714yes—
1734C4⋊C4C23×D1714yes—
1735C4⋊C4C23×D1714yes—
1736C4⋊C4C23×D1714yes—
1737C4⋊C4C23×D1714yes—
1738C4⋊C4C23×D1714yes—
1739C4⋊C4C23×D1714yes—
1740C4⋊C4C23×D1714yes—
1741C4⋊C4C23×D1714yes—
1742C4⋊C4C23×D1714yes—
1743C4⋊C4C23×D1714yes—
1744C4⋊C4C23×D1714yes—
1745C4⋊C4C23×D1714yes—
1746C22⋊C4—174no—
1747C22⋊C4—174no—
1748C22⋊C4—174no—
1749C22⋊C4—174no—
1750C22⋊C4—174no—
1751C22⋊C4—174no—
1752C22⋊C4—174no—
1753C22⋊C4—174no—
1754C22⋊C4—174no—
1755C22⋊C4—174no—
1756C22⋊C4—174no—
1757C22⋊C4—174no—
1758C22⋊C4—174no—
1759C22⋊C4—174no—
1760C22⋊C4—174no—
1761C22⋊C4—174no—
1762C22⋊C4—174no—
1763C22⋊C4—174no—
1764C22⋊C4—174no—
1765C22⋊C4—174no—
1766C22⋊C4—174no—
1767C22⋊C4—174no—
1768C22⋊C4—174no—
1769C22⋊C4—174no—
1770C22⋊C4—174no—
1771C22⋊C4—174no—
1772C22⋊C4—174no—
1773C22⋊C4—174no—
1774C22⋊C4—174no—
1775C22⋊C4—174no—
1776C22⋊C4—174no—
1777C22⋊C4—174no—
1778C22⋊C4—174no—
1779C22⋊C4—174no—
1780C22⋊C4—174no—
1781C22⋊C4—174no—
1782C22⋊C4—174no—
1783C22⋊C4—174no—
1784C22⋊C4—174no—
1785C22⋊C4—174no—
1786C22⋊C4C23×D1714yes—
1787C22⋊C4C23×D1714yes—
1788C22⋊C4C23×D1714yes—
1789C22⋊C4C23×D1714yes—
1790C22⋊C4C23×D1714yes—
1791C22⋊C4C23×D1714yes—
1792C22⋊C4C23×D1714yes—
1793C22⋊C4C23×D1714yes—
1794C22⋊C4C23×D1714yes—
1795C22⋊C4C23×D1714yes—
1796C42—174no—
1797C42—174no—
1798C42—174no—
1799C42—174no—
1800C42—174no—
1801C42—174no—
1802C42—174no—
1803C42C23×D1714yes—
1804C42C23×D1714yes—
1805C42C23×D1714yes—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—174no—
1813C23—172no—
1814C23—172no—
1815C23—172no—
1816C23—172no—
1817C23—172no—
1818C23—172no—
1819C23—172no—
1820C23—348no—
1821C23—342no—
1822C23—342no—
1823C23—342no—
1824C23—342no—
1825C23—342no—
1826C23—342no—
1827C23—342no—
1828C23—342no—
1829C23—342no—
1830C23—342no—
1831C23—342no—
1832C23—342no—
1833C23—342no—
1834C23—342no—
1835C23—342no—
1836C23—342no—
1837C23—342no—
1838C23—342no—
1839C23—342no—
1840C23—342no—
1841C23—684no—
1842C23—684no—
1843C23—684no—
1844C23—684no—
1845C23—684no—
1846C23—684no—
1847C23—684no—
1848C23—684no—
1849C23—1368no—
1850C23—1368no—
1851C23—1368no—
1852C23C24×D1712yes—
1853C23C24×D1712yes—
1854C23C24×D1711yescharacteristic
1855Q8—44no—
1856Q8—44no—
1857Q8—44no—
1858Q8—684no—
1859Q8—684no—
1860D4—44no—
1861D4—348no—
1862D4—348no—
1863D4—348no—
1864D4—348no—
1865D4—348no—
1866D4—348no—
1867D4—684no—
1868D4—684no—
1869D4—684no—
1870D4—684no—
1871D4—684no—
1872D4—684no—
1873D4—684no—
1874D4—684no—
1875D4—684no—
1876D4—684no—
1877D4—684no—
1878D4—684no—
1879D4—684no—
1880D4—684no—
1881D4—684no—
1882D4—684no—
1883D4—684no—
1884D4—684no—
1885D4—684no—
1886D4—684no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—172no—
1903C2×C4—172no—
1904C2×C4—172no—
1905C2×C4—172no—
1906C2×C4—172no—
1907C2×C4—172no—
1908C2×C4—172no—
1909C2×C4—172no—
1910C2×C4—172no—
1911C2×C4—348no—
1912C2×C4—348no—
1913C2×C4—342no—
1914C2×C4—342no—
1915C2×C4—342no—
1916C2×C4—342no—
1917C2×C4—342no—
1918C2×C4—342no—
1919C2×C4—342no—
1920C2×C4—342no—
1921C2×C4—342no—
1922C2×C4—684no—
1923C2×C4—684no—
1924C2×C4—684no—
1925C2×C4—684no—
1926C2×C4—684no—
1927C2×C4—684no—
1928C2×C4—684no—
1929C2×C4—684no—
1930C2×C4—684no—
1931C2×C4—684no—
1932C2×C4—684no—
1933C2×C4—684no—
1934C2×C4—684no—
1935C2×C4—684no—
1936C2×C4—684no—
1937C2×C4—684no—
1938C2×C4—684no—
1939C2×C4—684no—
1940C2×C4C24×D1712yes—
1941C2×C4C24×D1712yes—
1942C2×C4C24×D1712yes—
1943C2×C4C24×D1712yes—
1944C2×C4C24×D1712yes—
1945C2×C4C24×D1712yes—
1946C2×C4C24×D1712yes—
1947C2×C4C24×D1712yes—
1948C2×C4C24×D1712yes—
1949C2×C4C24×D1712yes—
1950C2×C4C24×D1712yes—
1951C2×C4C24×D1712yes—
1952C2×C4C24×D1712yes—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—44no—
1960C22—44no—
1961C22—174no—
1962C22—348no—
1963C22—342no—
1964C22—342no—
1965C22—342no—
1966C22—342no—
1967C22—342no—
1968C22—342no—
1969C22—342no—
1970C22—342no—
1971C22—342no—
1972C22—342no—
1973C22—342no—
1974C22—342no—
1975C22—342no—
1976C22—342no—
1977C22—342no—
1978C22—342no—
1979C22—342no—
1980C22—342no—
1981C22—342no—
1982C22—342no—
1983C22—684no—
1984C22—684no—
1985C22—684no—
1986C22—684no—
1987C22—684no—
1988C22—684no—
1989C22—1368no—
1990C22—1368no—
1991C22—1368no—
1992C22H(5,𝔽2)×D1712yes—
1993C22#1176364612yes—
1994C22#1176364612yes—
1995C22C25×D1711yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—22no—
2008C4—22no—
2009C4—342no—
2010C4—342no—
2011C4—342no—
2012C4—342no—
2013C4—342no—
2014C4—342no—
2015C4—342no—
2016C4—342no—
2017C4—342no—
2018C2—42no—
2019C2—42no—
2020C2—344no—
2021C2—682no—
2022C2—682no—
2023C2—682no—
2024C2—682no—
2025C2—682no—
2026C2—682no—
2027C2#1454332714yesdirect product factor
2028C2C2×H(5,𝔽2)×D1711yescharacteristic
2029C2C2×#1176364611yescharacteristic
2030C2C2×#1176364611yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#563C2
socleC23×C17C25
hypercenterC2×#563D17
hypocenterC17C2×#3560
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#563

Complements

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

NH ≅ G/Ntype
1. #14543327C2direct (N × H)
2. C2×#11763558C2semidirect
3. C2×#11763550C2semidirect
4. C2×#11763550C2semidirect
5. C2×#11763512C2semidirect
6. C2×#11763512C2semidirect
7. C2×#11763510C2semidirect
8. C2×#11763504C2semidirect
9. C2×#11763486C2semidirect
10. C2×#11763484C2semidirect
11. C2×#11763462C2semidirect
12. C2×#11763461C2semidirect
13. C2×#11763452C2semidirect
14. C2×#11763451C2semidirect
15. C2×#11763450C2semidirect
16. C2×#11763450C2semidirect
17. C2×#11763433C2semidirect
18. C2×#11763429C2semidirect
19. C2×#11763407C2semidirect
20. C2×#11763407C2semidirect
21. C2×#11763405C2semidirect
22. C2×#11763399C2semidirect
23. C2×#11763398C2semidirect
24. C2×#11763398C2semidirect
25. C2×#11763395C2semidirect
26. C2×#11763393C2semidirect
27. C2×#11763389C2semidirect
28. C2×#11763370C2semidirect
29. C2×#11763360C2semidirect
30. C2×#11763342C2semidirect
31. C2×#126×D17C2semidirect
32. C2×C17×#563C2semidirect
33. C22×#63256C22semidirect
34. C22×#63256C22semidirect
35. C22×#63256C22semidirect
36. C22×#63252C22semidirect
39. #11763558C22semidirect
40. #11763550C22semidirect
41. #11763550C22semidirect
42. #11763512C22semidirect
43. #11763512C22semidirect
44. #11763510C22semidirect
45. #11763504C22semidirect
46. #11763486C22semidirect
47. #11763484C22semidirect
48. #11763462C22semidirect
49. #11763461C22semidirect
50. #11763452C22semidirect
51. #11763451C22semidirect
52. #11763450C22semidirect
53. #11763450C22semidirect
54. #11763433C22semidirect
55. #11763429C22semidirect
56. #11763407C22semidirect
57. #11763407C22semidirect
58. #11763405C22semidirect
59. #11763399C22semidirect
60. #11763398C22semidirect
61. #11763398C22semidirect
62. #11763395C22semidirect
63. #11763393C22semidirect
64. #11763389C22semidirect
65. #11763370C22semidirect
66. #11763360C22semidirect
67. C2×#10587630C22semidirect
68. C2×#10587560C22semidirect
69. #11763342C22semidirect
70. C2×#10587584C22semidirect
71. C2×#10587584C22semidirect
72. C2×#10587584C22semidirect
73. C2×#10587584C22semidirect
74. C2×#10587584C22semidirect
75. C2×#10587584C22semidirect
76. C2×#10587584C22semidirect
77. C2×#10587584C22semidirect
78. C2×#10587562C22semidirect
79. C2×#10587562C22semidirect
80. C2×#10587562C22semidirect
81. C2×#10587565C22semidirect
82. C2×#10587565C22semidirect
83. C2×#10587565C22semidirect
84. #126×D17C22semidirect
85. C2×#10587575C22semidirect
86. C2×#10587575C22semidirect
87. C2×#10587575C22semidirect
90. C2×#10587633C22semidirect
91. C2×#10587633C22semidirect
92. C2×#10587561C22semidirect
94. C2×#10587571C22semidirect
95. C2×#10587571C22semidirect
100. C2×#10587580C22semidirect
101. C2×#10587580C22semidirect
102. C2×#10587580C22semidirect
103. C2×#10587580C22semidirect
104. C2×#10587580C22semidirect
105. C2×#10587580C22semidirect
106. C2×#10587580C22semidirect
107. C2×#10587580C22semidirect
108. C2×#10587580C22semidirect
109. C2×#10587580C22semidirect
110. C2×#10587580C22semidirect
111. C2×#10587580C22semidirect
112. C2×#10587572C22semidirect
115. C2×#10587569C22semidirect
116. C2×#10587569C22semidirect
117. C2×#10587569C22semidirect
118. C2×#10587583C22semidirect
119. C2×#10587583C22semidirect
120. C2×#10587582C22semidirect
121. C2×#10587582C22semidirect
122. C2×#10587582C22semidirect
123. C2×#10587582C22semidirect
124. C2×#10587582C22semidirect
125. C2×#10587632C22semidirect
126. C2×#10587632C22semidirect
127. C2×#10587632C22semidirect
128. C2×#10587632C22semidirect
135. C2×#10587581C22semidirect
136. C2×#10587581C22semidirect
137. C2×#10587581C22semidirect
138. C2×#10587581C22semidirect
139. C2×#10587581C22semidirect
140. C2×#10587581C22semidirect
141. C2×#10587581C22semidirect
142. C2×#10587581C22semidirect
143. C2×#10587616C22semidirect
148. C2×#10587570C22semidirect
149. C2×#10587570C22semidirect
150. C2×#10587570C22semidirect
151. C2×#10587570C22semidirect
152. C2×#10587570C22semidirect
153. C2×#10587570C22semidirect
161. C2×#10587568C22semidirect
162. C2×#10587568C22semidirect
163. C2×#10587568C22semidirect
164. C2×#10587568C22semidirect
166. C2×#10587573C22semidirect
167. C2×C4×D68C22semidirect
168. C2×C4×D68C22semidirect
169. C2×C4×D68C22semidirect
170. C2×C4×D68C22semidirect
171. C2×C4×D68C22semidirect
172. C2×#10587579C22semidirect
173. C2×#10587579C22semidirect
174. C2×#10587579C22semidirect
175. C2×#10587579C22semidirect
176. C2×#10587579C22semidirect
177. C2×#10587579C22semidirect
178. C2×#10587579C22semidirect
179. C2×#10587579C22semidirect
180. C2×C4×C22⋊D17C22semidirect
181. C2×C4×C22⋊D17C22semidirect
182. C2×C4×C22⋊D17C22semidirect
183. C2×#10587567C22semidirect
184. C2×#10587567C22semidirect
185. C2×#10587567C22semidirect
186. C2×#10587578C22semidirect
187. C2×#10587578C22semidirect
188. C2×#10587558C22semidirect
189. C2×#10587563C22semidirect
190. C2×C4⋊C4×D17C22semidirect
191. C2×C4⋊C4×D17C22semidirect
192. C2×C4⋊C4×D17C22semidirect
193. C2×C4⋊C4×D17C22semidirect
194. C2×C4⋊C4×D17C22semidirect
195. C22×#63227C22semidirect
199. C2×C22⋊C4×D17C22semidirect
200. C2×C22⋊C4×D17C22semidirect
201. C2×C22⋊C4×D17C22semidirect
202. C2×C42×D17C22semidirect
203. C17×#563C22semidirect
204. C2×C17×C4⋊Q8C22semidirect
205. C2×C17×C4⋊Q8C22semidirect
206. C2×C17×#126C22semidirect
207. C2×C17×#126C22semidirect
208. C2×C17×#126C22semidirect
209. C2×C17×#126C22semidirect
210. C2×C17×#125C22semidirect
211. C2×C17×#125C22semidirect
215. C2×C17×C22⋊Q8C22semidirect
216. C2×C17×C22⋊Q8C22semidirect
217. C2×C17×C22⋊Q8C22semidirect
218. C2×C17×C22⋊Q8C22semidirect
240. C2×#63256C23semidirect
241. C2×#63256C23semidirect
242. C2×#63256C23semidirect
246. C2×#63252C23semidirect
288. C17×C4⋊Q8C23semidirect
289. C17×C4⋊Q8C23semidirect
290. C17×#126C23semidirect
291. C17×#126C23semidirect
292. C17×#126C23semidirect
293. C17×#126C23semidirect
294. C17×#125C23semidirect
295. C17×#125C23semidirect
299. C17×C22⋊Q8C23semidirect
300. C17×C22⋊Q8C23semidirect
301. C17×C22⋊Q8C23semidirect
302. C17×C22⋊Q8C23semidirect
338. #10587633C23semidirect
339. #10587633C23semidirect
340. #10587632C23semidirect
341. #10587632C23semidirect
342. #10587632C23semidirect
343. #10587632C23semidirect
344. #10587630C23semidirect
348. #10587616C23semidirect
350. C4×C22⋊D17C23semidirect
351. C4×C22⋊D17C23semidirect
352. C4×C22⋊D17C23semidirect
389. C2×#63227C23semidirect
419. #10587584C23semidirect
420. #10587584C23semidirect
421. #10587584C23semidirect
422. #10587584C23semidirect
423. #10587584C23semidirect
424. #10587584C23semidirect
425. #10587584C23semidirect
426. #10587584C23semidirect
427. #10587583C23semidirect
428. #10587583C23semidirect
429. #10587582C23semidirect
430. #10587582C23semidirect
431. #10587582C23semidirect
432. #10587582C23semidirect
433. #10587582C23semidirect
440. #10587581C23semidirect
441. #10587581C23semidirect
442. #10587581C23semidirect
443. #10587581C23semidirect
444. #10587581C23semidirect
445. #10587581C23semidirect
446. #10587581C23semidirect
447. #10587581C23semidirect
452. #10587580C23semidirect
453. #10587580C23semidirect
454. #10587580C23semidirect
455. #10587580C23semidirect
456. #10587580C23semidirect
457. #10587580C23semidirect
458. #10587580C23semidirect
459. #10587580C23semidirect
460. #10587580C23semidirect
461. #10587580C23semidirect
462. #10587580C23semidirect
463. #10587580C23semidirect
464. #10587579C23semidirect
465. #10587579C23semidirect
466. #10587579C23semidirect
467. #10587579C23semidirect
468. #10587579C23semidirect
469. #10587579C23semidirect
470. #10587579C23semidirect
471. #10587579C23semidirect
472. #10587578C23semidirect
473. #10587578C23semidirect
474. C4⋊C4×D17C23semidirect
475. C4⋊C4×D17C23semidirect
476. C4⋊C4×D17C23semidirect
477. C4⋊C4×D17C23semidirect
478. C4⋊C4×D17C23semidirect
479. #10587575C23semidirect
480. #10587575C23semidirect
481. #10587575C23semidirect
482. #10587573C23semidirect
483. #10587572C23semidirect
485. #10587571C23semidirect
486. #10587571C23semidirect
491. #10587570C23semidirect
492. #10587570C23semidirect
493. #10587570C23semidirect
494. #10587570C23semidirect
495. #10587570C23semidirect
496. #10587570C23semidirect
498. #10587569C23semidirect
499. #10587569C23semidirect
500. #10587569C23semidirect
506. #10587568C23semidirect
507. #10587568C23semidirect
508. #10587568C23semidirect
509. #10587568C23semidirect
510. #10587567C23semidirect
511. #10587567C23semidirect
512. #10587567C23semidirect
516. C22⋊C4×D17C23semidirect
517. C22⋊C4×D17C23semidirect
518. C22⋊C4×D17C23semidirect
519. #10587565C23semidirect
520. #10587565C23semidirect
521. #10587565C23semidirect
522. #10587563C23semidirect
523. #10587562C23semidirect
524. #10587562C23semidirect
525. #10587562C23semidirect
526. #10587561C23semidirect
527. #10587560C23semidirect
528. C4×D68C23semidirect
529. C4×D68C23semidirect
530. C4×D68C23semidirect
531. C4×D68C23semidirect
532. C4×D68C23semidirect
533. #10587558C23semidirect
534. C42×D17C23semidirect
940. C2×#563D17semidirect
1042. #563C2×D17semidirect
1071. C2×C4⋊Q8C2×D17semidirect
1072. C2×C4⋊Q8C2×D17semidirect
1090. C2×#126C2×D17semidirect
1091. C2×#126C2×D17semidirect
1092. C2×#126C2×D17semidirect
1093. C2×#126C2×D17semidirect
1097. C2×#125C2×D17semidirect
1098. C2×#125C2×D17semidirect
1143. C2×C22⋊Q8C2×D17semidirect
1144. C2×C22⋊Q8C2×D17semidirect
1145. C2×C22⋊Q8C2×D17semidirect
1146. C2×C22⋊Q8C2×D17semidirect
1223. C2×C17#3560semidirect
1304. C4⋊Q8C22×D17semidirect
1305. C4⋊Q8C22×D17semidirect
1321. #126C22×D17semidirect
1322. #126C22×D17semidirect
1323. #126C22×D17semidirect
1324. #126C22×D17semidirect
1328. #125C22×D17semidirect
1329. #125C22×D17semidirect
1374. C22⋊Q8C22×D17semidirect
1375. C22⋊Q8C22×D17semidirect
1376. C22⋊Q8C22×D17semidirect
1377. C22⋊Q8C22×D17semidirect
1550. C17C2×#3560semidirect
2027. C2#14543327direct (N × H)

Maximal subgroups

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

subgroupindex
#145433272
C2×#117635582
C2×#117635502
C2×#117635122
C2×#117635102
C2×#117635042
C2×#117634862
C2×#117634842
C2×#117634622
C2×#117634612
C2×#117634522
C2×#117634512
C2×#117634502
C2×#117634332
C2×#117634292
C2×#117634072
C2×#117634052
C2×#117633992
C2×#117633982
C2×#117633952
C2×#117633932
C2×#117633892
C2×#117633702
C2×#117633602
C2×#117633422
C2×#126×D172
C2×C17×#5632
C2×#356017