Finite Group Databasebeta

← C2×#14543068 #17941474

Subgroups — C2×#14543068 #17941474

Order 4352.

7258 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543068C2132yesmaximal, direct product factor
2C2×#11763561C211yesmaximal, characteristic, complemented
3C2×#11763558C211yesmaximal, characteristic, complemented
4C2×#11763555C211yesmaximal, characteristic, complemented
5C2×#11763553C211yesmaximal, characteristic, complemented
6C2×#11763531C211yesmaximal, characteristic, complemented
7C2×#11763519C211yesmaximal, characteristic, complemented
8C2×#11763513C211yesmaximal, characteristic, complemented
9C2×#11763513C211yesmaximal, characteristic, complemented
10C2×#11763510C211yesmaximal, characteristic, complemented
11C2×#11763504C211yesmaximal, characteristic, complemented
12C2×#11763503C211yesmaximal, characteristic, complemented
13C2×#11763492C211yesmaximal, characteristic, complemented
14C2×#11763474C211yesmaximal, characteristic, complemented
15C2×#11763469C211yesmaximal, characteristic, complemented
16C2×#11763467C211yesmaximal, characteristic, complemented
17C2×#11763457C211yesmaximal, characteristic, complemented
18C2×#11763427C211yesmaximal, characteristic, complemented
19C2×#11763423C211yesmaximal, characteristic, complemented
20C2×#11763416C211yesmaximal, characteristic, complemented
21C2×#11763405C211yesmaximal, characteristic, complemented
22C2×#11763401C211yesmaximal, characteristic, complemented
23C2×#11763398C211yesmaximal, characteristic, complemented
24C2×#11763393C211yesmaximal, characteristic, complemented
25C2×#11763393C211yesmaximal, characteristic, complemented
26C2×#11763391C211yesmaximal, characteristic, complemented
27C2×#11763386C211yesmaximal, characteristic, complemented
28C2×#11763379C211yesmaximal, characteristic, complemented
29C2×#11763318C211yesmaximal, characteristic, complemented
30C2×#11763317C211yesmaximal, characteristic, complemented
31C2×C22⋊Q8×D17C211yesmaximal, characteristic, complemented
32C2×C17×#542C211yesmaximal, characteristic, complemented
33C22×#63252C2211yescharacteristic
34C22×#63254C2211yescharacteristic
35C22×#63254C2211yescharacteristic, complemented
36C22×Q8×D17C2211yescharacteristic
37C22×Q8×D17C2211yescharacteristic, complemented
38C23×C4×D17C2211yescharacteristic
39#11763561C22116yescomplemented
40#11763558C22116yescomplemented
41#11763555C22116yescomplemented
42#11763553C22116yescomplemented
43#11763531C22116yescomplemented
44#11763519C22116yescomplemented
45#11763513C22116yescomplemented
46#11763513C22116yescomplemented
47#11763510C22116yescomplemented
48#11763504C22116yescomplemented
49#11763503C22116yescomplemented
50#11763492C22116yescomplemented
51#11763474C22116yescomplemented
52#11763469C22116yescomplemented
53#11763467C22116yescomplemented
54#11763457C22116yescomplemented
55#11763427C22116yescomplemented
56#11763423C22116yescomplemented
57#11763416C22116yescomplemented
58#11763405C22116yescomplemented
59#11763401C22116yescomplemented
60#11763398C22116yescomplemented
61#11763393C22116yescomplemented
62#11763393C22116yescomplemented
63#11763391C22116yescomplemented
64#11763386C22116yescomplemented
65#11763379C22116yescomplemented
66C2×#10587555C2211yescharacteristic, complemented
67C2×#10587574C2211yescharacteristic, complemented
68C2×#10587574C2211yescharacteristic, complemented
69C2×#10587630C2211yescharacteristic, complemented
70C2×#10587630C2211yescharacteristic, complemented
71C2×#10587584C2211yescharacteristic
72C2×#10587584C2211yescharacteristic
73C2×#10587584C2211yescharacteristic, complemented
74C2×#10587584C2211yescharacteristic, complemented
75C2×#10587562C2211yescharacteristic
76C2×#10587562C2211yescharacteristic
77C2×#10587562C2211yescharacteristic, complemented
78C2×#10587562C2211yescharacteristic, complemented
79C2×#10587565C2211yescharacteristic
80C2×#10587565C2211yescharacteristic
81C2×#10587565C2211yescharacteristic
82C2×#10587565C2211yescharacteristic, complemented
83C2×#10587556C2211yescharacteristic, complemented
84C2×#10587556C2211yescharacteristic, complemented
85C2×#10587576C2211yescharacteristic, complemented
86C2×#10587575C2211yescharacteristic, complemented
87C2×#10587575C2211yescharacteristic, complemented
88C2×#10587575C2211yescharacteristic, complemented
89C2×#10587575C2211yescharacteristic, complemented
90C2×#10587575C2211yescharacteristic, complemented
91C2×#10587575C2211yescharacteristic, complemented
92C2×#10587633C2211yescharacteristic
93C2×#10587633C2211yescharacteristic
94C2×#10587561C2211yescharacteristic
95C2×#10587622C2211yescharacteristic
96C2×#10587571C2211yescharacteristic
97C2×#10587571C2211yescharacteristic
98C2×#10587571C2211yescharacteristic, complemented
99C2×#10587571C2211yescharacteristic, complemented
100#11763318C22116yescomplemented
101#11763317C22116yescomplemented
102C2×#10587580C2211yescharacteristic
103C2×#10587580C2211yescharacteristic
104C2×#10587580C2211yescharacteristic, complemented
105C2×#10587572C2211yescharacteristic
106C2×#10587572C2211yescharacteristic
107C2×#10587572C2211yescharacteristic, complemented
108C2×#10587615C2211yescharacteristic
109C2×#10587615C2211yescharacteristic
110C2×#10587569C2211yescharacteristic
111C2×#10587569C2211yescharacteristic
112C2×#10587569C2211yescharacteristic
113C2×#10587569C2211yescharacteristic
114C2×#10587569C2211yescharacteristic, complemented
115C2×#10587569C2211yescharacteristic, complemented
116C2×#10587569C2211yescharacteristic, complemented
117C2×#10587621C2211yescharacteristic
118C2×#10587583C2211yescharacteristic
119C2×#10587610C2211yescharacteristic
120C2×#10587582C2211yescharacteristic
121C2×#10587582C2211yescharacteristic
122C2×#10587582C2211yescharacteristic
123C2×#10587582C2211yescharacteristic
124C2×#10587582C2211yescharacteristic
125C2×#10587582C2211yescharacteristic
126C2×#10587582C2211yescharacteristic
127C2×#10587582C2211yescharacteristic, complemented
128C2×#10587582C2211yescharacteristic, complemented
129C2×#10587582C2211yescharacteristic, complemented
130C2×#10587582C2211yescharacteristic, complemented
131C2×#10587564C2211yescharacteristic
132C2×#10587564C2211yescharacteristic
133C2×#10587564C2211yescharacteristic
134C2×#10587564C2211yescharacteristic, complemented
135C2×#10587564C2211yescharacteristic, complemented
136C2×#10587564C2211yescharacteristic, complemented
137C2×#10587564C2211yescharacteristic, complemented
138C2×#10587564C2211yescharacteristic, complemented
139C2×#10587564C2211yescharacteristic, complemented
140C2×#10587632C2211yescharacteristic
141C2×#10587632C2211yescharacteristic
142C2×#10587632C2211yescharacteristic
143C2×#10587632C2211yescharacteristic, complemented
144C2×#10587632C2211yescharacteristic, complemented
145C2×#10587632C2211yescharacteristic, complemented
146C22⋊Q8×D17C22116yescomplemented
147C2×#10587581C2211yescharacteristic
148C2×#10587581C2211yescharacteristic
149C2×#10587616C2211yescharacteristic, complemented
150C2×#10587570C2211yescharacteristic
151C2×#10587570C2211yescharacteristic
152C2×#10587570C2211yescharacteristic
153C2×#10587570C2211yescharacteristic
154C2×#10587570C2211yescharacteristic
155C2×#10587570C2211yescharacteristic
156C2×#10587570C2211yescharacteristic
157C2×#10587570C2211yescharacteristic
158C2×#10587570C2211yescharacteristic, complemented
159C2×#10587625C2211yescharacteristic
160C2×#10587625C2211yescharacteristic
161C2×#10587625C2211yescharacteristic
162C2×#10587625C2211yescharacteristic
163C2×#10587625C2211yescharacteristic, complemented
164C2×#10587624C2211yescharacteristic
165C2×#10587568C2211yescharacteristic
166C2×#10587568C2211yescharacteristic
167C2×#10587623C2211yescharacteristic
168C2×#10587623C2211yescharacteristic
169C2×C4×Dic34C2211yescharacteristic, complemented
170C2×C4×Dic34C2211yescharacteristic, complemented
171C2×#10587573C2211yescharacteristic, complemented
172C2×#10587573C2211yescharacteristic, complemented
173C2×C4×D68C2211yescharacteristic
174C2×C4×D68C2211yescharacteristic
175C2×C4×D68C2211yescharacteristic
176C2×C4×D68C2211yescharacteristic
177C2×#10587579C2211yescharacteristic
178C2×#10587579C2211yescharacteristic
179C2×#10587579C2211yescharacteristic
180C2×#10587579C2211yescharacteristic, complemented
181C2×C4×C22⋊D17C2211yescharacteristic
182C2×C4×C22⋊D17C2211yescharacteristic
183C2×C4×C22⋊D17C2211yescharacteristic
184C2×C4×C22⋊D17C2211yescharacteristic, complemented
185C2×#10587567C2211yescharacteristic
186C2×#10587567C2211yescharacteristic
187C2×#10587567C2211yescharacteristic
188C2×#10587567C2211yescharacteristic
189C2×#10587567C2211yescharacteristic
190C2×#10587567C2211yescharacteristic, complemented
191C2×#10587558C2211yescharacteristic
192C2×#10587558C2211yescharacteristic, complemented
193C2×#10587563C2211yescharacteristic
194C2×#10587563C2211yescharacteristic, complemented
195C22×#63225C2211yescharacteristic, complemented
196C22×#63225C2211yescharacteristic, complemented
197C2×C4⋊C4×D17C2211yescharacteristic
198C2×C4⋊C4×D17C2211yescharacteristic
199C2×C4⋊C4×D17C2211yescharacteristic
200C2×C4⋊C4×D17C2211yescharacteristic, complemented
201C2×C22⋊C4×D17C2211yescharacteristic
202C2×C22⋊C4×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
233C22×C22⋊D17C2311yescharacteristic
234C22×C22⋊D17C2311yescharacteristic
235C22×C22⋊D17C2311yescharacteristic
236C22×C22⋊D17C2311yescharacteristic
237C22×C22⋊D17C2311yescharacteristic
238C22×C22⋊D17C2311yescharacteristic
239C23×Dic17C2311yescharacteristic
240C23×Dic17C2311yescharacteristic
241C23×Dic17C2311yescharacteristic
242C23×Dic17C2311yescharacteristic
243C23×Dic17C2311yescharacteristic
244C2×Q8×D17—44no—
245C2×Q8×D17—44no—
246C2×Q8×D17C2318yes—
247C2×Q8×D17C2318yescomplemented
248C2×#63254—44no—
249C2×#63254—44no—
250C2×#63254C2318yes—
251C2×#63254C2318yescomplemented
252C2×#63252—44no—
253C2×#63252C2318yes—
254C22×D68C2311yescharacteristic
255C22×D68C2311yescharacteristic
256C22×D68C2311yescharacteristic
257C22×D68C2311yescharacteristic
258C22×D68C2311yescharacteristic
259C22×C4×D17—44no—
260C22×C4×D17C2311yescharacteristic
261C22×C4×D17C2311yescharacteristic
262C22×C4×D17C2311yescharacteristic
263C22×C4×D17C2311yescharacteristic
264C22×C4×D17C2311yescharacteristic
265C22×C4×D17C2311yescharacteristic
266C22×C4×D17C2311yescharacteristic
267C22×C4×D17C2311yescharacteristic
268C22×C4×D17C2311yescharacteristic
269C22×C4×D17C2311yescharacteristic
270C22×C4×D17C2311yescharacteristic
271C22×C4×D17C2311yescharacteristic
272C22×C4×D17C2311yescharacteristic
273C22×C4×D17C2311yescharacteristic
274C22×C4×D17C2318yes—
275C22×Dic34C2311yescharacteristic
276C22×Dic34C2311yescharacteristic
277C22×Dic34C2311yescharacteristic
278C22×Dic34C2311yescharacteristic
279C22×Dic34C2311yescharacteristic
280C22×Dic34C2311yescharacteristic
281C22×Dic34C2311yescharacteristic
282C17×C4⋊Q8C2318yescomplemented
283C17×#126C2318yes—
284C17×#126C2318yescomplemented
285C17×#124C2318yes—
286C17×#124C2318yes—
287C17×#124C2318yescomplemented
288C17×#123C2318yes—
289C17×#123C2318yescomplemented
290C17×C22⋊Q8C2318yes—
291C17×C22⋊Q8C2318yescomplemented
292C17×C22⋊Q8C2318yescomplemented
293C17×#121C2318yes—
294C4×Q8×C17C2318yescomplemented
295C4×D4×C17C2318yes—
296C17×#117C2318yescomplemented
297C2×C4⋊C4×C17C2311yescharacteristic
298C2×C4⋊C4×C17C2311yescharacteristic
299C2×C4⋊C4×C17C2311yescharacteristic
300C2×C4⋊C4×C17C2311yescharacteristic
301C2×C4⋊C4×C17C2311yescharacteristic
302C2×C4⋊C4×C17C2311yescharacteristic
303C2×C4⋊C4×C17C2311yescharacteristic
304C2×C4⋊C4×C17C2311yescharacteristic
305C2×C4⋊C4×C17C2311yescharacteristic
306C2×C4⋊C4×C17C2311yescharacteristic
307C2×C22⋊C4×C17C2311yescharacteristic
308C2×C22⋊C4×C17C2311yescharacteristic
309C2×C22⋊C4×C17C2311yescharacteristic
310C2×C22⋊C4×C17C2311yescharacteristic
311C2×C22⋊C4×C17C2311yescharacteristic
312C2×C22⋊C4×C17C2311yescharacteristic
313C2×C22⋊C4×C17C2311yescharacteristic
314C2×C22⋊C4×C17C2311yescharacteristic
315C2×C22⋊C4×C17C2311yescharacteristic
316C2×C22⋊C4×C17C2311yescharacteristic
317C2×C22⋊C4×C17C2311yescharacteristic
318C2×C22⋊C4×C17C2311yescharacteristic
319C2×C42×C17C2311yescharacteristic
320C2×C42×C17C2311yescharacteristic
321C2×C42×C17C2311yescharacteristic
322C2×C42×C17C2311yescharacteristic
323C2×C22⋊Dic17C2311yescharacteristic
324C2×C22⋊Dic17C2311yescharacteristic
325C2×C22⋊Dic17C2311yescharacteristic
326C2×C22⋊Dic17C2311yescharacteristic
327C2×C22⋊Dic17C2311yescharacteristic
328C2×C22⋊Dic17C2311yescharacteristic
329C2×C22⋊Dic17C2311yescharacteristic
330C2×C22⋊Dic17C2311yescharacteristic
331#10587633C2318yes—
332#10587633C2318yes—
333#10587632C2318yes—
334#10587632C2318yes—
335#10587632C2318yes—
336#10587632C2318yescomplemented
337#10587632C2318yescomplemented
338#10587632C2318yescomplemented
339#10587630C2318yescomplemented
340#10587630C2318yescomplemented
341#10587625C2318yes—
342#10587625C2318yes—
343#10587625C2318yes—
344#10587625C2318yes—
345#10587625C2318yescomplemented
346#10587624C2318yes—
347#10587623C2318yes—
348#10587623C2318yes—
349#10587622C2318yes—
350#10587621C2318yes—
351#10587616C2318yescomplemented
352#10587615C2318yes—
353#10587615C2318yes—
354C4×C22⋊D17C2318yes—
355C4×C22⋊D17C2318yes—
356C4×C22⋊D17C2318yes—
357C4×C22⋊D17C2318yescomplemented
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×C4⋊Dic17C2311yescharacteristic
383C2×C4⋊Dic17C2311yescharacteristic
384C2×C4⋊Dic17C2311yescharacteristic
385C2×C4⋊Dic17C2311yescharacteristic
386C2×C4⋊Dic17C2311yescharacteristic
387C2×C4⋊Dic17C2311yescharacteristic
388C2×C4⋊Dic17C2311yescharacteristic
389C2×C4⋊Dic17C2311yescharacteristic
390C2×C4⋊Dic17C2311yescharacteristic
391C2×C4⋊Dic17C2311yescharacteristic
392#10587610C2318yes—
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×#63225C2311yescharacteristic
411C2×#63225C2311yescharacteristic
412C2×#63225C2311yescharacteristic
413C2×#63225C2311yescharacteristic
414C2×#63225C2311yescharacteristic
415C2×#63225C2311yescharacteristic
416C2×#63225C2311yescharacteristic
417C2×#63225C2311yescharacteristic
418C2×#63225C2311yescharacteristic
419C2×#63225C2311yescharacteristic
420C2×#63225C2311yescharacteristic
421C2×#63225C2318yescomplemented
422C2×#63225C2318yescomplemented
423C2×C4×Dic17C2311yescharacteristic
424C2×C4×Dic17C2311yescharacteristic
425C2×C4×Dic17C2311yescharacteristic
426C2×C4×Dic17C2311yescharacteristic
427C2×C4×Dic17C2311yescharacteristic
428C2×C4×Dic17C2311yescharacteristic
429C2×C4×Dic17C2311yescharacteristic
430C2×C4×Dic17C2311yescharacteristic
431#10587584C2318yes—
432#10587584C2318yes—
433#10587584C2318yescomplemented
434#10587584C2318yescomplemented
435#10587583C2318yes—
436#10587582C2318yes—
437#10587582C2318yes—
438#10587582C2318yes—
439#10587582C2318yes—
440#10587582C2318yes—
441#10587582C2318yes—
442#10587582C2318yes—
443#10587582C2318yescomplemented
444#10587582C2318yescomplemented
445#10587582C2318yescomplemented
446#10587582C2318yescomplemented
447#10587581C2318yes—
448#10587581C2318yes—
449#10587580C2318yes—
450#10587580C2318yes—
451#10587580C2318yescomplemented
452#10587579C2318yes—
453#10587579C2318yes—
454#10587579C2318yes—
455#10587579C2318yescomplemented
456C4⋊C4×D17C2318yes—
457C4⋊C4×D17C2318yes—
458C4⋊C4×D17C2318yes—
459C4⋊C4×D17C2318yescomplemented
460#10587576C2318yescomplemented
461#10587575C2318yescomplemented
462#10587575C2318yescomplemented
463#10587575C2318yescomplemented
464#10587575C2318yescomplemented
465#10587575C2318yescomplemented
466#10587575C2318yescomplemented
467#10587574C2318yescomplemented
468#10587574C2318yescomplemented
469#10587573C2318yescomplemented
470#10587573C2318yescomplemented
471#10587572C2318yes—
472#10587572C2318yes—
473#10587572C2318yescomplemented
474#10587571C2318yes—
475#10587571C2318yes—
476#10587571C2318yescomplemented
477#10587571C2318yescomplemented
478#10587570C2318yes—
479#10587570C2318yes—
480#10587570C2318yes—
481#10587570C2318yes—
482#10587570C2318yes—
483#10587570C2318yes—
484#10587570C2318yes—
485#10587570C2318yes—
486#10587570C2318yescomplemented
487#10587569C2318yes—
488#10587569C2318yes—
489#10587569C2318yes—
490#10587569C2318yes—
491#10587569C2318yescomplemented
492#10587569C2318yescomplemented
493#10587569C2318yescomplemented
494#10587568C2318yes—
495#10587568C2318yes—
496#10587567C2318yes—
497#10587567C2318yes—
498#10587567C2318yes—
499#10587567C2318yes—
500#10587567C2318yes—
501#10587567C2318yescomplemented
502C22⋊C4×D17C2318yes—
503C22⋊C4×D17C2318yes—
504#10587565C2318yes—
505#10587565C2318yes—
506#10587565C2318yes—
507#10587565C2318yescomplemented
508#10587564C2318yes—
509#10587564C2318yes—
510#10587564C2318yes—
511#10587564C2318yescomplemented
512#10587564C2318yescomplemented
513#10587564C2318yescomplemented
514#10587564C2318yescomplemented
515#10587564C2318yescomplemented
516#10587564C2318yescomplemented
517#10587563C2318yes—
518#10587563C2318yescomplemented
519#10587562C2318yes—
520#10587562C2318yes—
521#10587562C2318yescomplemented
522#10587562C2318yescomplemented
523#10587561C2318yes—
524C4×D68C2318yes—
525C4×D68C2318yes—
526C4×D68C2318yes—
527C4×D68C2318yes—
528#10587558C2318yes—
529#10587558C2318yescomplemented
530#10587556C2318yescomplemented
531#10587556C2318yescomplemented
532#10587555C2318yescomplemented
533C4×Dic34C2318yescomplemented
534C4×Dic34C2318yescomplemented
535C24×C17C2411yescharacteristic
536C24×C17C2411yescharacteristic
537C24×C17C2411yescharacteristic
538C23×D17—24no—
539C23×D17—42no—
540C23×D17—42no—
541C23×D17C2411yescharacteristic
542C23×D17C2411yescharacteristic
543C23×D17C2411yescharacteristic
544C23×D17C2411yescharacteristic
545C23×D17C2414yes—
546C2×Q8×C17—42no—
547C2×Q8×C17—42no—
548C2×Q8×C17—42no—
549C2×Q8×C17C2414yes—
550C2×Q8×C17C2414yes—
551C2×Q8×C17C2414yes—
552C2×D4×C17—42no—
553C2×D4×C17—42no—
554C2×D4×C17—42no—
555C2×D4×C17C2414yes—
556C2×D4×C17C2414yes—
557C2×D4×C17C2414yes—
558C22×C4×C17—42no—
559C22×C4×C17—42no—
560C22×C4×C17—42no—
561C22×C4×C17C2411yescharacteristic
562C22×C4×C17C2411yescharacteristic
563C22×C4×C17C2411yescharacteristic
564C22×C4×C17C2411yescharacteristic
565C22×C4×C17C2411yescharacteristic
566C22×C4×C17C2411yescharacteristic
567C22×C4×C17C2411yescharacteristic
568C22×C4×C17C2411yescharacteristic
569C22×C4×C17C2411yescharacteristic
570C22×C4×C17C2411yescharacteristic
571C22×C4×C17C2411yescharacteristic
572C22×C4×C17C2411yescharacteristic
573C22×C4×C17C2414yes—
574C22×C4×C17C2414yes—
575C22×C4×C17C2414yes—
576C2×C22⋊D17—24no—
577C2×C22⋊D17—24no—
578C2×C22⋊D17—24no—
579C2×C22⋊D17—42no—
580C2×C22⋊D17—42no—
581C2×C22⋊D17—42no—
582C2×C22⋊D17—42no—
583C2×C22⋊D17—42no—
584C2×C22⋊D17—42no—
585C2×C22⋊D17—42no—
586C2×C22⋊D17C2414yes—
587C2×C22⋊D17C2414yes—
588C2×C22⋊D17C2414yes—
589C2×C22⋊D17C2414yes—
590C2×C22⋊D17C2414yes—
591C2×C22⋊D17C2414yes—
592C2×C22⋊D17C2414yes—
593C2×C22⋊D17C2414yes—
594C2×C22⋊D17C2414yes—
595C2×C22⋊D17C2414yes—
596C22×Dic17—24no—
597C22×Dic17—24no—
598C22×Dic17—42no—
599C22×Dic17—42no—
600C22×Dic17—42no—
601C22×Dic17C2411yescharacteristic
602C22×Dic17C2411yescharacteristic
603C22×Dic17C2411yescharacteristic
604C22×Dic17C2411yescharacteristic
605C22×Dic17C2411yescharacteristic
606C22×Dic17C2411yescharacteristic
607C22×Dic17C2411yescharacteristic
608C22×Dic17C2414yes—
609C22×Dic17C2411yescharacteristic
610C22×Dic17C2411yescharacteristic
611C22×Dic17C2414yes—
612C22×Dic17C2411yescharacteristic
613C22×Dic17C2411yescharacteristic
614C22×Dic17C2414yes—
615C22×Dic17C2414yes—
616C22×Dic17C2414yes—
617C22×Dic17C2411yescharacteristic
618Q8×D17—416no—
619Q8×D17—416no—
620#63254—416no—
621#63254—416no—
622#63252—416no—
623C2×D68—24no—
624C2×D68—24no—
625C2×D68—42no—
626C2×D68—42no—
627C2×D68—42no—
628C2×D68C2414yes—
629C2×D68C2414yes—
630C2×D68C2414yes—
631C2×D68C2414yes—
632C2×D68C2414yes—
633C2×C4×D17—24no—
634C2×C4×D17—24no—
635C2×C4×D17—24no—
636C2×C4×D17—416no—
637C2×C4×D17—42no—
638C2×C4×D17—42no—
639C2×C4×D17—42no—
640C2×C4×D17—42no—
641C2×C4×D17—42no—
642C2×C4×D17—42no—
643C2×C4×D17—42no—
644C2×C4×D17—42no—
645C2×C4×D17—42no—
646C2×C4×D17—42no—
647C2×C4×D17—42no—
648C2×C4×D17C2414yes—
649C2×C4×D17C2414yes—
650C2×C4×D17C2414yes—
651C2×C4×D17C2414yes—
652C2×C4×D17C2414yes—
653C2×C4×D17C2414yes—
654C2×C4×D17C2414yes—
655C2×C4×D17C2414yes—
656C2×C4×D17C2414yes—
657C2×C4×D17C2414yes—
658C2×C4×D17C2414yes—
659C2×C4×D17C2414yes—
660C2×C4×D17C2414yes—
661C2×C4×D17C2414yes—
662C2×Dic34—24no—
663C2×Dic34—24no—
664C2×Dic34—24no—
665C2×Dic34—42no—
666C2×Dic34—42no—
667C2×Dic34—42no—
668C2×Dic34—42no—
669C2×Dic34C2414yes—
670C2×Dic34C2414yes—
671C2×Dic34C2414yes—
672C2×Dic34C2414yes—
673C2×Dic34C2414yes—
674C2×Dic34C2414yes—
675C2×Dic34C2414yes—
676C4⋊C4×C17C2414yes—
677C4⋊C4×C17C2414yes—
678C4⋊C4×C17C2414yes—
679C4⋊C4×C17C2414yes—
680C4⋊C4×C17C2414yes—
681C4⋊C4×C17C2414yes—
682C4⋊C4×C17C2414yes—
683C4⋊C4×C17C2414yes—
684C4⋊C4×C17C2414yes—
685C4⋊C4×C17C2414yes—
686C22⋊C4×C17C2414yes—
687C22⋊C4×C17C2414yes—
688C22⋊C4×C17C2414yes—
689C22⋊C4×C17C2414yes—
690C22⋊C4×C17C2414yes—
691C22⋊C4×C17C2414yes—
692C22⋊C4×C17C2414yes—
693C22⋊C4×C17C2414yes—
694C22⋊C4×C17C2414yes—
695C22⋊C4×C17C2414yes—
696C22⋊C4×C17C2414yes—
697C22⋊C4×C17C2414yes—
698C42×C17C2414yes—
699C42×C17C2414yes—
700C42×C17C2414yes—
701C42×C17C2414yes—
702C22⋊Dic17C2414yes—
703C22⋊Dic17C2414yes—
704C22⋊Dic17C2414yes—
705C22⋊Dic17C2414yes—
706C22⋊Dic17C2414yes—
707C22⋊Dic17C2414yes—
708C22⋊Dic17C2414yes—
709C22⋊Dic17C2414yes—
710#63227C2414yes—
711#63227C2414yes—
712#63227C2414yes—
713#63227C2414yes—
714#63227C2414yes—
715#63227C2414yes—
716#63227C2414yes—
717#63227C2414yes—
718#63227C2414yes—
719#63227C2414yes—
720#63227C2414yes—
721#63227C2414yes—
722#63227C2414yes—
723#63227C2414yes—
724#63227C2414yes—
725#63227C2414yes—
726#63227C2414yes—
727#63227C2414yes—
728#63227C2414yes—
729#63227C2414yes—
730#63227C2414yes—
731#63227C2414yes—
732#63227C2414yes—
733#63227C2414yes—
734C4⋊Dic17C2414yes—
735C4⋊Dic17C2414yes—
736C4⋊Dic17C2414yes—
737C4⋊Dic17C2414yes—
738C4⋊Dic17C2414yes—
739C4⋊Dic17C2414yes—
740C4⋊Dic17C2414yes—
741C4⋊Dic17C2414yes—
742C4⋊Dic17C2414yes—
743C4⋊Dic17C2414yes—
744#63225C2414yes—
745#63225C2414yes—
746#63225C2414yes—
747#63225C2414yes—
748#63225C2414yes—
749#63225C2414yes—
750#63225C2414yes—
751#63225C2414yes—
752#63225C2414yes—
753#63225C2414yes—
754#63225C2414yes—
755#63225C2414yes—
756#63225C2414yes—
757#63225C2414yes—
758#63225C2414yes—
759#63225C2414yes—
760#63225C2414yes—
761#63225C2414yes—
762#63225C2414yes—
763#63225C2414yes—
764#63225C2414yes—
765#63225C2414yes—
766#63225C2414yes—
767#63225C2414yes—
768#63225C2414yes—
769#63225C2414yes—
770#63225C2414yes—
771#63225C2414yes—
772C4×Dic17C2414yes—
773C4×Dic17C2414yes—
774C4×Dic17C2414yes—
775C4×Dic17C2414yes—
776C4×Dic17C2414yes—
777C4×Dic17C2414yes—
778C4×Dic17C2414yes—
779C4×Dic17C2414yes—
780C2×#3541—171nomaximal, Sylow
781C23×C17—22no—
782C23×C17—22no—
783C23×C17—22no—
784C23×C17—22no—
785C23×C17—22no—
786C23×C17—22no—
787C23×C17—22no—
788C23×C17—22no—
789C23×C17—22no—
790C23×C17C2512yes—
791C23×C17C2512yes—
792C23×C17C2512yes—
793C23×C17C2511yescharacteristic
794C22×D17—22no—
795C22×D17—22no—
796C22×D17—22no—
797C22×D17—22no—
798C22×D17—22no—
799C22×D17—22no—
800C22×D17—22no—
801C22×D17—22no—
802C22×D17—22no—
803C22×D17—22no—
804C22×D17—22no—
805C22×D17—28no—
806C22×D17—44no—
807C22×D17—44no—
808C22×D17—416no—
809C22×D172−1+414yes—
810C22×D17C2512yes—
811C22×D17C2512yes—
812C22×D17C2512yes—
813C22×D17C2512yes—
814Q8×C17—44no—
815Q8×C17—44no—
816Q8×C17—44no—
817D4×C17—44no—
818D4×C17—44no—
819D4×C17—44no—
820C2×C4×C17—22no—
821C2×C4×C17—22no—
822C2×C4×C17—22no—
823C2×C4×C17—22no—
824C2×C4×C17—22no—
825C2×C4×C17—22no—
826C2×C4×C17—22no—
827C2×C4×C17—22no—
828C2×C4×C17—22no—
829C2×C4×C17—22no—
830C2×C4×C17—22no—
831C2×C4×C17—22no—
832C2×C4×C17—44no—
833C2×C4×C17—44no—
834C2×C4×C17—44no—
835C2×C4×C17C2512yes—
836C2×C4×C17C2512yes—
837C2×C4×C17C2512yes—
838C2×C4×C17C2512yes—
839C2×C4×C17C2512yes—
840C2×C4×C17C2512yes—
841C2×C4×C17C2512yes—
842C2×C4×C17C2512yes—
843C2×C4×C17C2512yes—
844C2×C4×C17C2512yes—
845C2×C4×C17C2512yes—
846C2×C4×C17C2512yes—
847C22⋊D17—28no—
848C22⋊D17—28no—
849C22⋊D17—28no—
850C22⋊D17—44no—
851C22⋊D17—44no—
852C22⋊D17—44no—
853C22⋊D17—44no—
854C22⋊D17—44no—
855C22⋊D17—44no—
856C22⋊D17—44no—
857C2×Dic17—22no—
858C2×Dic17—22no—
859C2×Dic17—22no—
860C2×Dic17—22no—
861C2×Dic17—22no—
862C2×Dic17—22no—
863C2×Dic17—22no—
864C2×Dic17—22no—
865C2×Dic17—22no—
866C2×Dic17—22no—
867C2×Dic17—22no—
868C2×Dic17—28no—
869C2×Dic17—28no—
870C2×Dic17—44no—
871C2×Dic17—44no—
872C2×Dic17—44no—
873C2×Dic17H(5,𝔽2)14yes—
874C2×Dic17C2512yes—
875C2×Dic17C2512yes—
876C2×Dic17C2512yes—
877C2×Dic17C2512yes—
878C2×Dic17C2512yes—
879C2×Dic17C2512yes—
880C2×Dic17C2512yes—
881C2×Dic17C2512yes—
882C2×Dic17C2512yes—
883C2×Dic17C2512yes—
884C2×Dic17C2512yes—
885C2×Dic17C2512yes—
886D68—28no—
887D68—28no—
888D68—44no—
889D68—44no—
890D68—44no—
891C4×D17—28no—
892C4×D17—28no—
893C4×D17—28no—
894C4×D17—44no—
895C4×D17—44no—
896C4×D17—44no—
897C4×D17—44no—
898C4×D17—44no—
899C4×D17—44no—
900C4×D17—44no—
901C4×D17—44no—
902C4×D17—44no—
903C4×D17—44no—
904C4×D17—44no—
905Dic34—28no—
906Dic34—28no—
907Dic34—28no—
908Dic34—44no—
909Dic34—44no—
910Dic34—44no—
911Dic34—44no—
912#3541—1732no—
913C2×#563—171no—
914C2×#563—171no—
915C2×#562—171no—
916C2×#562—171no—
917C2×#556—171no—
918C2×#554—171no—
919C2×#554—171no—
920C2×#554—171no—
921C2×#553—171no—
922C2×#553—171no—
923C2×#553—171no—
924C2×#552—171no—
925C2×D4×Q8—171no—
926C2×#548—171no—
927C2×#548—171no—
928C2×#547—171no—
929C2×#542—171no—
930C2×#542—171no—
931C2×#542D1711yescharacteristic, complemented
932C2×#541—171no—
933C2×#539—171no—
934C2×#539—171no—
935C2×#538—171no—
936C2×#538—171no—
937C2×#538—171no—
938C2×#538—171no—
939C2×#537—171no—
940C2×#536—171no—
941C2×#525—171no—
942C2×#525—171no—
943C22×C22⋊Q8—171no—
944C22×C17—22no—
945C22×C17—22no—
946C22×C17—22no—
947C22×C17—22no—
948C22×C17—22no—
949C22×C17—22no—
950C22×C17—22no—
951C22×C17—22no—
952C22×C17—22no—
953C22×C17—44no—
954C22×C17—44no—
955C22×C17—44no—
956C22×C17C2×H(5,𝔽2)12yes—
957C22×C17C2×2−1+412yes—
958C22×C17#58512yes—
959C22×C17C2611yescharacteristic
960C2×D17—22no—
961C2×D17—22no—
962C2×D17—28no—
963C2×D17—22no—
964C2×D17—22no—
965C2×D17—22no—
966C2×D17—22no—
967C2×D17—22no—
968C2×D17—22no—
969C2×D17—22no—
970C2×D17—22no—
971C2×D17—22no—
972C2×D17—416no—
973C2×D17—44no—
974C2×D17—44no—
975C2×D17—44no—
976C2×D17C2×2−1+414yes—
977C4×C17—22no—
978C4×C17—22no—
979C4×C17—22no—
980C4×C17—22no—
981C4×C17—22no—
982C4×C17—22no—
983C4×C17—22no—
984C4×C17—22no—
985C4×C17—22no—
986C4×C17—22no—
987C4×C17—22no—
988C4×C17—22no—
989Dic17—22no—
990Dic17—22no—
991Dic17—22no—
992Dic17—22no—
993Dic17—22no—
994Dic17—22no—
995Dic17—22no—
996Dic17—22no—
997Dic17—22no—
998Dic17—22no—
999Dic17—22no—
1000Dic17C2×H(5,𝔽2)14yes—
1001C22×#41—171no—
1002C22×#41—171no—
1003C22×#41—171no—
1004C23×Q8—171no—
1005C23×Q8—171no—
1006C24×C4—171no—
1007#563—1716no—
1008#563—1716no—
1009#562—1716no—
1010#562—1716no—
1011#556—1716no—
1012#554—1716no—
1013#554—1716no—
1014#554—1716no—
1015#553—1716no—
1016#553—1716no—
1017#553—1716no—
1018#552—1716no—
1019D4×Q8—1716no—
1020#548—1716no—
1021#548—1716no—
1022#547—1716no—
1023#542—1716no—
1024#542—1716no—
1025#542C2×D17116yescomplemented
1026#541—1716no—
1027#539—1716no—
1028#539—1716no—
1029#538—1716no—
1030#538—1716no—
1031#538—1716no—
1032#538—1716no—
1033#537—1716no—
1034#536—1716no—
1035C2×C4⋊Q8—171no—
1036C2×C4⋊Q8—171no—
1037C2×C4⋊Q8—171no—
1038C2×C4⋊Q8—171no—
1039C2×C4⋊Q8—171no—
1040C2×C4⋊Q8C2×D1711yescharacteristic, complemented
1041C2×#126—171no—
1042C2×#126—171no—
1043C2×#126—171no—
1044C2×#126—171no—
1045C2×#126—171no—
1046C2×#126—171no—
1047C2×#126—171no—
1048C2×#126—171no—
1049C2×#126—171no—
1050C2×#126—171no—
1051C2×#126—171no—
1052C2×#126—171no—
1053C2×#126C2×D1711yescharacteristic
1054C2×#126C2×D1711yescharacteristic, complemented
1055C2×#125—171no—
1056C2×#125—171no—
1057C2×#125—171no—
1058C2×#125—171no—
1059C2×#125—171no—
1060C2×#125—171no—
1061C2×#125—171no—
1062C2×#125—171no—
1063C2×#125—171no—
1064C2×#124—171no—
1065C2×#124—171no—
1066C2×#124—171no—
1067C2×#124—171no—
1068C2×#124—171no—
1069C2×#124—171no—
1070C2×#124—171no—
1071C2×#124—171no—
1072C2×#124C2×D1711yescharacteristic
1073C2×#124C2×D1711yescharacteristic
1074C2×#124C2×D1711yescharacteristic, complemented
1075#525—1716no—
1076#525—1716no—
1077C2×#123—171no—
1078C2×#123—171no—
1079C2×#123—171no—
1080C2×#123—171no—
1081C2×#123—171no—
1082C2×#123—171no—
1083C2×#123—171no—
1084C2×#123—171no—
1085C2×#123—171no—
1086C2×#123—171no—
1087C2×#123—171no—
1088C2×#123—171no—
1089C2×#123—171no—
1090C2×#123—171no—
1091C2×#123—171no—
1092C2×#123—171no—
1093C2×#123C2×D1711yescharacteristic
1094C2×#123C2×D1711yescharacteristic, complemented
1095C2×C22⋊Q8—171no—
1096C2×C22⋊Q8—171no—
1097C2×C22⋊Q8—171no—
1098C2×C22⋊Q8—171no—
1099C2×C22⋊Q8—171no—
1100C2×C22⋊Q8—171no—
1101C2×C22⋊Q8—171no—
1102C2×C22⋊Q8—1716no—
1103C2×C22⋊Q8—171no—
1104C2×C22⋊Q8—171no—
1105C2×C22⋊Q8—171no—
1106C2×C22⋊Q8—171no—
1107C2×C22⋊Q8—171no—
1108C2×C22⋊Q8—171no—
1109C2×C22⋊Q8—171no—
1110C2×C22⋊Q8—171no—
1111C2×C22⋊Q8—171no—
1112C2×C22⋊Q8—171no—
1113C2×C22⋊Q8—171no—
1114C2×C22⋊Q8—171no—
1115C2×C22⋊Q8—171no—
1116C2×C22⋊Q8—171no—
1117C2×C22⋊Q8—171no—
1118C2×C22⋊Q8—171no—
1119C2×C22⋊Q8—171no—
1120C2×C22⋊Q8—171no—
1121C2×C22⋊Q8—171no—
1122C2×C22⋊Q8—171no—
1123C2×C22⋊Q8—171no—
1124C2×C22⋊Q8C2×D1711yescharacteristic
1125C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1126C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1127C2×#121—171no—
1128C2×#121—171no—
1129C2×#121—171no—
1130C2×#121—171no—
1131C2×#121—171no—
1132C2×#121—171no—
1133C2×#121—171no—
1134C2×#121—171no—
1135C2×#121—171no—
1136C2×#121—171no—
1137C2×#121—171no—
1138C2×#121—171no—
1139C2×#121—171no—
1140C2×#121—171no—
1141C2×#121—171no—
1142C2×#121—171no—
1143C2×#121—171no—
1144C2×#121—171no—
1145C2×#121C2×D1711yescharacteristic
1146C2×#120—171no—
1147C2×#120—171no—
1148C2×#120—171no—
1149C2×#120—171no—
1150C2×C4×Q8—171no—
1151C2×C4×Q8—171no—
1152C2×C4×Q8—171no—
1153C2×C4×Q8—171no—
1154C2×C4×Q8C2×D1711yescharacteristic, complemented
1155C2×C4×D4—171no—
1156C2×C4×D4—171no—
1157C2×C4×D4—171no—
1158C2×C4×D4—171no—
1159C2×C4×D4—171no—
1160C2×C4×D4—171no—
1161C2×C4×D4—171no—
1162C2×C4×D4—171no—
1163C2×C4×D4—171no—
1164C2×C4×D4—171no—
1165C2×C4×D4—171no—
1166C2×C4×D4—171no—
1167C2×C4×D4—171no—
1168C2×C4×D4—171no—
1169C2×C4×D4—171no—
1170C2×C4×D4—171no—
1171C2×C4×D4—171no—
1172C2×C4×D4—171no—
1173C2×C4×D4C2×D1711yescharacteristic
1174C2×#117—171no—
1175C2×#117—171no—
1176C2×#117—171no—
1177C2×#117—171no—
1178C2×#117C2×D1711yescharacteristic, complemented
1179C22×C4⋊C4—171no—
1180C22×C4⋊C4—171no—
1181C22×C4⋊C4—171no—
1182C22×C4⋊C4—171no—
1183C22×C4⋊C4—171no—
1184C22×C4⋊C4—171no—
1185C22×C22⋊C4—171no—
1186C22×C22⋊C4—171no—
1187C2×C17—42no—
1188C2×C17—42no—
1189C2×C17—42no—
1190C2×C17#354114yescomplemented
1191C2×C17C22×H(5,𝔽2)11yescharacteristic
1192C2×C17C22×2−1+411yescharacteristic
1193C2×C17C2×#58511yescharacteristic
1194D17—24no—
1195D17—42no—
1196D17—42no—
1197D17—42no—
1198C25—171no—
1199C2×#41—178no—
1200C2×#41—178no—
1201C2×#41—178no—
1202C2×#41—684no—
1203C2×#41—684no—
1204C2×#41—684no—
1205C22×Q8—178no—
1206C22×Q8—178no—
1207C22×Q8—171no—
1208C22×Q8—171no—
1209C22×Q8—171no—
1210C22×Q8—171no—
1211C22×Q8—171no—
1212C22×Q8—171no—
1213C22×Q8—171no—
1214C22×Q8—684no—
1215C22×Q8—684no—
1216C22×Q8C22×D1711yescharacteristic
1217C22×Q8C22×D1711yescharacteristic
1218C22×Q8C22×D1711yescharacteristic
1219C22×D4—171no—
1220C22×D4—171no—
1221C22×D4—171no—
1222C22×D4—171no—
1223C22×D4—171no—
1224C22×D4—171no—
1225C22×D4—171no—
1226C22×D4—171no—
1227C22×D4—171no—
1228C22×D4—171no—
1229C22×D4—171no—
1230C22×D4—171no—
1231C22×D4—171no—
1232C22×D4—171no—
1233C22×D4—171no—
1234C22×D4C22×D1711yescharacteristic
1235C22×D4C22×D1711yescharacteristic
1236C22×D4C22×D1711yescharacteristic
1237C23×C4—171no—
1238C23×C4—171no—
1239C23×C4—171no—
1240C23×C4—171no—
1241C23×C4—171no—
1242C23×C4—171no—
1243C23×C4—171no—
1244C23×C4—171no—
1245C23×C4—171no—
1246C23×C4—171no—
1247C23×C4—171no—
1248C23×C4—171no—
1249C23×C4—171no—
1250C23×C4—171no—
1251C23×C4—171no—
1252C23×C4—171no—
1253C23×C4—171no—
1254C23×C4—171no—
1255C23×C4—171no—
1256C23×C4—178no—
1257C23×C4—684no—
1258C23×C4C22×D1711yescharacteristic
1259C23×C4C22×D1711yescharacteristic
1260C23×C4C22×D1711yescharacteristic
1261C4⋊Q8—178no—
1262C4⋊Q8—178no—
1263C4⋊Q8—178no—
1264C4⋊Q8—178no—
1265C4⋊Q8—178no—
1266C4⋊Q8C22×D1718yescomplemented
1267#126—178no—
1268#126—178no—
1269#126—178no—
1270#126—178no—
1271#126—178no—
1272#126—178no—
1273#126—178no—
1274#126—178no—
1275#126—178no—
1276#126—178no—
1277#126—178no—
1278#126—178no—
1279#126C22×D1718yes—
1280#126C22×D1718yescomplemented
1281#125—178no—
1282#125—178no—
1283#125—178no—
1284#125—178no—
1285#125—178no—
1286#125—178no—
1287#125—178no—
1288#125—178no—
1289#125—178no—
1290#124—178no—
1291#124—178no—
1292#124—178no—
1293#124—178no—
1294#124—178no—
1295#124—178no—
1296#124—178no—
1297#124—178no—
1298#124C22×D1718yes—
1299#124C22×D1718yes—
1300#124C22×D1718yescomplemented
1301#123—178no—
1302#123—178no—
1303#123—178no—
1304#123—178no—
1305#123—178no—
1306#123—178no—
1307#123—178no—
1308#123—178no—
1309#123—178no—
1310#123—178no—
1311#123—178no—
1312#123—178no—
1313#123—178no—
1314#123—178no—
1315#123—178no—
1316#123—178no—
1317#123C22×D1718yes—
1318#123C22×D1718yescomplemented
1319C22⋊Q8—178no—
1320C22⋊Q8—178no—
1321C22⋊Q8—178no—
1322C22⋊Q8—178no—
1323C22⋊Q8—178no—
1324C22⋊Q8—178no—
1325C22⋊Q8—178no—
1326C22⋊Q8—178no—
1327C22⋊Q8—178no—
1328C22⋊Q8—178no—
1329C22⋊Q8—178no—
1330C22⋊Q8—178no—
1331C22⋊Q8—178no—
1332C22⋊Q8—178no—
1333C22⋊Q8—178no—
1334C22⋊Q8—178no—
1335C22⋊Q8—178no—
1336C22⋊Q8—178no—
1337C22⋊Q8—178no—
1338C22⋊Q8—178no—
1339C22⋊Q8—178no—
1340C22⋊Q8—178no—
1341C22⋊Q8—178no—
1342C22⋊Q8—178no—
1343C22⋊Q8—178no—
1344C22⋊Q8—178no—
1345C22⋊Q8—178no—
1346C22⋊Q8—178no—
1347C22⋊Q8C22×D1718yes—
1348C22⋊Q8C22×D1718yescomplemented
1349C22⋊Q8C22×D1718yescomplemented
1350#121—178no—
1351#121—178no—
1352#121—178no—
1353#121—178no—
1354#121—178no—
1355#121—178no—
1356#121—178no—
1357#121—178no—
1358#121—178no—
1359#121—178no—
1360#121—178no—
1361#121—178no—
1362#121—178no—
1363#121—178no—
1364#121—178no—
1365#121—178no—
1366#121—178no—
1367#121—178no—
1368#121C22×D1718yes—
1369#120—178no—
1370#120—178no—
1371#120—178no—
1372#120—178no—
1373C4×Q8—178no—
1374C4×Q8—178no—
1375C4×Q8—178no—
1376C4×Q8—178no—
1377C4×Q8C22×D1718yescomplemented
1378C4×D4—178no—
1379C4×D4—178no—
1380C4×D4—178no—
1381C4×D4—178no—
1382C4×D4—178no—
1383C4×D4—178no—
1384C4×D4—178no—
1385C4×D4—178no—
1386C4×D4—178no—
1387C4×D4—178no—
1388C4×D4—178no—
1389C4×D4—178no—
1390C4×D4—178no—
1391C4×D4—178no—
1392C4×D4—178no—
1393C4×D4—178no—
1394C4×D4—178no—
1395C4×D4—178no—
1396C4×D4C22×D1718yes—
1397#117—178no—
1398#117—178no—
1399#117—178no—
1400#117—178no—
1401#117C22×D1718yescomplemented
1402C2×C4⋊C4—171no—
1403C2×C4⋊C4—171no—
1404C2×C4⋊C4—171no—
1405C2×C4⋊C4—171no—
1406C2×C4⋊C4—171no—
1407C2×C4⋊C4—171no—
1408C2×C4⋊C4—171no—
1409C2×C4⋊C4—171no—
1410C2×C4⋊C4—171no—
1411C2×C4⋊C4—171no—
1412C2×C4⋊C4—171no—
1413C2×C4⋊C4—171no—
1414C2×C4⋊C4—171no—
1415C2×C4⋊C4—171no—
1416C2×C4⋊C4—171no—
1417C2×C4⋊C4—171no—
1418C2×C4⋊C4—171no—
1419C2×C4⋊C4—178no—
1420C2×C4⋊C4—178no—
1421C2×C4⋊C4—171no—
1422C2×C4⋊C4—171no—
1423C2×C4⋊C4—171no—
1424C2×C4⋊C4—171no—
1425C2×C4⋊C4—171no—
1426C2×C4⋊C4—171no—
1427C2×C4⋊C4—171no—
1428C2×C4⋊C4—171no—
1429C2×C4⋊C4—171no—
1430C2×C4⋊C4—171no—
1431C2×C4⋊C4—171no—
1432C2×C4⋊C4—171no—
1433C2×C4⋊C4—171no—
1434C2×C4⋊C4—171no—
1435C2×C4⋊C4—171no—
1436C2×C4⋊C4—171no—
1437C2×C4⋊C4—171no—
1438C2×C4⋊C4—171no—
1439C2×C4⋊C4—171no—
1440C2×C4⋊C4—171no—
1441C2×C4⋊C4—171no—
1442C2×C4⋊C4—178no—
1443C2×C4⋊C4—178no—
1444C2×C4⋊C4—178no—
1445C2×C4⋊C4—178no—
1446C2×C4⋊C4C22×D1711yescharacteristic
1447C2×C4⋊C4C22×D1711yescharacteristic
1448C2×C4⋊C4C22×D1711yescharacteristic
1449C2×C4⋊C4C22×D1711yescharacteristic
1450C2×C4⋊C4C22×D1711yescharacteristic
1451C2×C4⋊C4C22×D1711yescharacteristic
1452C2×C4⋊C4C22×D1711yescharacteristic
1453C2×C4⋊C4C22×D1711yescharacteristic
1454C2×C4⋊C4C22×D1711yescharacteristic
1455C2×C4⋊C4C22×D1711yescharacteristic
1456C2×C22⋊C4—171no—
1457C2×C22⋊C4—171no—
1458C2×C22⋊C4—171no—
1459C2×C22⋊C4—171no—
1460C2×C22⋊C4—171no—
1461C2×C22⋊C4—171no—
1462C2×C22⋊C4—171no—
1463C2×C22⋊C4—171no—
1464C2×C22⋊C4—171no—
1465C2×C22⋊C4—171no—
1466C2×C22⋊C4—171no—
1467C2×C22⋊C4—171no—
1468C2×C22⋊C4—171no—
1469C2×C22⋊C4—171no—
1470C2×C22⋊C4—171no—
1471C2×C22⋊C4—171no—
1472C2×C22⋊C4—171no—
1473C2×C22⋊C4—171no—
1474C2×C22⋊C4—171no—
1475C2×C22⋊C4—171no—
1476C2×C22⋊C4—171no—
1477C2×C22⋊C4—171no—
1478C2×C22⋊C4—171no—
1479C2×C22⋊C4—171no—
1480C2×C22⋊C4—171no—
1481C2×C22⋊C4—171no—
1482C2×C22⋊C4—171no—
1483C2×C22⋊C4—171no—
1484C2×C22⋊C4—171no—
1485C2×C22⋊C4—171no—
1486C2×C22⋊C4—171no—
1487C2×C22⋊C4—171no—
1488C2×C22⋊C4—178no—
1489C2×C22⋊C4—178no—
1490C2×C22⋊C4C22×D1711yescharacteristic
1491C2×C22⋊C4C22×D1711yescharacteristic
1492C2×C22⋊C4C22×D1711yescharacteristic
1493C2×C22⋊C4C22×D1711yescharacteristic
1494C2×C22⋊C4C22×D1711yescharacteristic
1495C2×C22⋊C4C22×D1711yescharacteristic
1496C2×C22⋊C4C22×D1711yescharacteristic
1497C2×C22⋊C4C22×D1711yescharacteristic
1498C2×C22⋊C4C22×D1711yescharacteristic
1499C2×C22⋊C4C22×D1711yescharacteristic
1500C2×C22⋊C4C22×D1711yescharacteristic
1501C2×C22⋊C4C22×D1711yescharacteristic
1502C2×C42—171no—
1503C2×C42—171no—
1504C2×C42—171no—
1505C2×C42—171no—
1506C2×C42—171no—
1507C2×C42—171no—
1508C2×C42—171no—
1509C2×C42—171no—
1510C2×C42C22×D1711yescharacteristic
1511C2×C42C22×D1711yescharacteristic
1512C2×C42C22×D1711yescharacteristic
1513C2×C42C22×D1711yescharacteristic
1514C17C2×#354111yescharacteristic, complemented, Sylow
1515C24—171no—
1516C24—171no—
1517C24—171no—
1518C24—171no—
1519C24—174no—
1520C24—344no—
1521C24—682no—
1522C24—682no—
1523C24C23×D1711yescharacteristic
1524C24C23×D1711yescharacteristic
1525C24C23×D1711yescharacteristic
1526#41—6816no—
1527#41—6816no—
1528#41—6816no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—42no—
1532C2×Q8—174no—
1533C2×Q8—174no—
1534C2×Q8—174no—
1535C2×Q8—174no—
1536C2×Q8—174no—
1537C2×Q8—174no—
1538C2×Q8—174no—
1539C2×Q8—344no—
1540C2×Q8—344no—
1541C2×Q8—344no—
1542C2×Q8—682no—
1543C2×Q8—682no—
1544C2×Q8—682no—
1545C2×Q8—682no—
1546C2×Q8—6816no—
1547C2×Q8—6816no—
1548C2×Q8C23×D1714yes—
1549C2×Q8C23×D1714yes—
1550C2×Q8C23×D1714yes—
1551C2×D4—42no—
1552C2×D4—42no—
1553C2×D4—42no—
1554C2×D4—174no—
1555C2×D4—174no—
1556C2×D4—174no—
1557C2×D4—174no—
1558C2×D4—174no—
1559C2×D4—174no—
1560C2×D4—174no—
1561C2×D4—174no—
1562C2×D4—174no—
1563C2×D4—174no—
1564C2×D4—174no—
1565C2×D4—174no—
1566C2×D4—174no—
1567C2×D4—174no—
1568C2×D4—174no—
1569C2×D4—344no—
1570C2×D4—344no—
1571C2×D4—344no—
1572C2×D4—344no—
1573C2×D4—344no—
1574C2×D4—682no—
1575C2×D4—682no—
1576C2×D4—682no—
1577C2×D4—682no—
1578C2×D4—682no—
1579C2×D4—682no—
1580C2×D4—682no—
1581C2×D4—682no—
1582C2×D4—682no—
1583C2×D4—682no—
1584C2×D4C23×D1714yes—
1585C2×D4C23×D1714yes—
1586C2×D4C23×D1714yes—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—171no—
1591C22×C4—174no—
1592C22×C4—174no—
1593C22×C4—171no—
1594C22×C4—171no—
1595C22×C4—171no—
1596C22×C4—171no—
1597C22×C4—171no—
1598C22×C4—171no—
1599C22×C4—171no—
1600C22×C4—171no—
1601C22×C4—171no—
1602C22×C4—171no—
1603C22×C4—171no—
1604C22×C4—174no—
1605C22×C4—174no—
1606C22×C4—174no—
1607C22×C4—174no—
1608C22×C4—174no—
1609C22×C4—174no—
1610C22×C4—174no—
1611C22×C4—174no—
1612C22×C4—174no—
1613C22×C4—174no—
1614C22×C4—174no—
1615C22×C4—174no—
1616C22×C4—174no—
1617C22×C4—174no—
1618C22×C4—174no—
1619C22×C4—174no—
1620C22×C4—174no—
1621C22×C4—344no—
1622C22×C4—344no—
1623C22×C4—344no—
1624C22×C4—344no—
1625C22×C4—344no—
1626C22×C4—682no—
1627C22×C4—682no—
1628C22×C4—682no—
1629C22×C4—682no—
1630C22×C4—682no—
1631C22×C4—682no—
1632C22×C4—682no—
1633C22×C4—682no—
1634C22×C4—682no—
1635C22×C4—682no—
1636C22×C4—682no—
1637C22×C4—6816no—
1638C22×C4—682no—
1639C22×C4—682no—
1640C22×C4—682no—
1641C22×C4C23×D1711yescharacteristic
1642C22×C4C23×D1711yescharacteristic
1643C22×C4C23×D1711yescharacteristic
1644C22×C4C23×D1711yescharacteristic
1645C22×C4C23×D1711yescharacteristic
1646C22×C4C23×D1711yescharacteristic
1647C22×C4C23×D1711yescharacteristic
1648C22×C4C23×D1711yescharacteristic
1649C22×C4C23×D1711yescharacteristic
1650C22×C4C23×D1711yescharacteristic
1651C22×C4C23×D1711yescharacteristic
1652C22×C4C23×D1711yescharacteristic
1653C22×C4C23×D1714yes—
1654C22×C4C23×D1714yes—
1655C22×C4C23×D1714yes—
1656C4⋊C4—174no—
1657C4⋊C4—174no—
1658C4⋊C4—174no—
1659C4⋊C4—174no—
1660C4⋊C4—174no—
1661C4⋊C4—174no—
1662C4⋊C4—174no—
1663C4⋊C4—174no—
1664C4⋊C4—174no—
1665C4⋊C4—174no—
1666C4⋊C4—174no—
1667C4⋊C4—174no—
1668C4⋊C4—174no—
1669C4⋊C4—174no—
1670C4⋊C4—174no—
1671C4⋊C4—174no—
1672C4⋊C4—174no—
1673C4⋊C4—174no—
1674C4⋊C4—174no—
1675C4⋊C4—174no—
1676C4⋊C4—174no—
1677C4⋊C4—174no—
1678C4⋊C4—174no—
1679C4⋊C4—174no—
1680C4⋊C4—174no—
1681C4⋊C4—174no—
1682C4⋊C4—174no—
1683C4⋊C4—174no—
1684C4⋊C4—174no—
1685C4⋊C4—174no—
1686C4⋊C4—174no—
1687C4⋊C4—174no—
1688C4⋊C4—174no—
1689C4⋊C4—174no—
1690C4⋊C4—174no—
1691C4⋊C4—174no—
1692C4⋊C4—174no—
1693C4⋊C4—174no—
1694C4⋊C4C23×D1714yes—
1695C4⋊C4C23×D1714yes—
1696C4⋊C4C23×D1714yes—
1697C4⋊C4C23×D1714yes—
1698C4⋊C4C23×D1714yes—
1699C4⋊C4C23×D1714yes—
1700C4⋊C4C23×D1714yes—
1701C4⋊C4C23×D1714yes—
1702C4⋊C4C23×D1714yes—
1703C4⋊C4C23×D1714yes—
1704C22⋊C4—174no—
1705C22⋊C4—174no—
1706C22⋊C4—174no—
1707C22⋊C4—174no—
1708C22⋊C4—174no—
1709C22⋊C4—174no—
1710C22⋊C4—174no—
1711C22⋊C4—174no—
1712C22⋊C4—174no—
1713C22⋊C4—174no—
1714C22⋊C4—174no—
1715C22⋊C4—174no—
1716C22⋊C4—174no—
1717C22⋊C4—174no—
1718C22⋊C4—174no—
1719C22⋊C4—174no—
1720C22⋊C4—174no—
1721C22⋊C4—174no—
1722C22⋊C4—174no—
1723C22⋊C4—174no—
1724C22⋊C4—174no—
1725C22⋊C4—174no—
1726C22⋊C4—174no—
1727C22⋊C4—174no—
1728C22⋊C4—174no—
1729C22⋊C4—174no—
1730C22⋊C4—174no—
1731C22⋊C4—174no—
1732C22⋊C4—174no—
1733C22⋊C4—174no—
1734C22⋊C4—174no—
1735C22⋊C4—174no—
1736C22⋊C4C23×D1714yes—
1737C22⋊C4C23×D1714yes—
1738C22⋊C4C23×D1714yes—
1739C22⋊C4C23×D1714yes—
1740C22⋊C4C23×D1714yes—
1741C22⋊C4C23×D1714yes—
1742C22⋊C4C23×D1714yes—
1743C22⋊C4C23×D1714yes—
1744C22⋊C4C23×D1714yes—
1745C22⋊C4C23×D1714yes—
1746C22⋊C4C23×D1714yes—
1747C22⋊C4C23×D1714yes—
1748C42—174no—
1749C42—174no—
1750C42—174no—
1751C42—174no—
1752C42—174no—
1753C42—174no—
1754C42—174no—
1755C42—174no—
1756C42C23×D1714yes—
1757C42C23×D1714yes—
1758C42C23×D1714yes—
1759C42C23×D1714yes—
1760C23—22no—
1761C23—22no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—174no—
1770C23—172no—
1771C23—172no—
1772C23—172no—
1773C23—172no—
1774C23—348no—
1775C23—342no—
1776C23—342no—
1777C23—342no—
1778C23—342no—
1779C23—342no—
1780C23—342no—
1781C23—342no—
1782C23—342no—
1783C23—342no—
1784C23—342no—
1785C23—342no—
1786C23—684no—
1787C23—684no—
1788C23—6816no—
1789C23C24×D1712yes—
1790C23C24×D1712yes—
1791C23C24×D1712yes—
1792C23C24×D1711yescharacteristic
1793Q8—44no—
1794Q8—44no—
1795Q8—44no—
1796Q8—348no—
1797Q8—348no—
1798Q8—348no—
1799Q8—684no—
1800Q8—684no—
1801Q8—684no—
1802Q8—684no—
1803D4—44no—
1804D4—44no—
1805D4—44no—
1806D4—348no—
1807D4—348no—
1808D4—348no—
1809D4—348no—
1810D4—348no—
1811D4—684no—
1812D4—684no—
1813D4—684no—
1814D4—684no—
1815D4—684no—
1816D4—684no—
1817D4—684no—
1818D4—684no—
1819D4—684no—
1820D4—684no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—174no—
1837C2×C4—172no—
1838C2×C4—172no—
1839C2×C4—172no—
1840C2×C4—172no—
1841C2×C4—172no—
1842C2×C4—172no—
1843C2×C4—172no—
1844C2×C4—172no—
1845C2×C4—172no—
1846C2×C4—172no—
1847C2×C4—172no—
1848C2×C4—172no—
1849C2×C4—348no—
1850C2×C4—348no—
1851C2×C4—348no—
1852C2×C4—348no—
1853C2×C4—348no—
1854C2×C4—342no—
1855C2×C4—342no—
1856C2×C4—342no—
1857C2×C4—342no—
1858C2×C4—342no—
1859C2×C4—342no—
1860C2×C4—342no—
1861C2×C4—342no—
1862C2×C4—342no—
1863C2×C4—342no—
1864C2×C4—342no—
1865C2×C4—684no—
1866C2×C4—684no—
1867C2×C4—684no—
1868C2×C4—684no—
1869C2×C4—684no—
1870C2×C4—684no—
1871C2×C4—684no—
1872C2×C4—684no—
1873C2×C4—684no—
1874C2×C4—684no—
1875C2×C4—684no—
1876C2×C4—684no—
1877C2×C4—684no—
1878C2×C4—684no—
1879C2×C4C24×D1712yes—
1880C2×C4C24×D1712yes—
1881C2×C4C24×D1712yes—
1882C2×C4C24×D1712yes—
1883C2×C4C24×D1712yes—
1884C2×C4C24×D1712yes—
1885C2×C4C24×D1712yes—
1886C2×C4C24×D1712yes—
1887C2×C4C24×D1712yes—
1888C2×C4C24×D1712yes—
1889C2×C4C24×D1712yes—
1890C2×C4C24×D1712yes—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—44no—
1901C22—44no—
1902C22—44no—
1903C22—174no—
1904C22—348no—
1905C22—342no—
1906C22—342no—
1907C22—342no—
1908C22—342no—
1909C22—342no—
1910C22—342no—
1911C22—342no—
1912C22—342no—
1913C22—342no—
1914C22—342no—
1915C22—342no—
1916C22—6816no—
1917C22—684no—
1918C22—684no—
1919C22—684no—
1920C22H(5,𝔽2)×D1712yes—
1921C222−1+4×D1712yes—
1922C22#1176364512yes—
1923C22C25×D1711yescharacteristic
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—174no—
1937C4—342no—
1938C4—342no—
1939C4—342no—
1940C4—342no—
1941C4—342no—
1942C4—342no—
1943C4—342no—
1944C4—342no—
1945C4—342no—
1946C4—342no—
1947C4—342no—
1948C2—42no—
1949C2—42no—
1950C2—42no—
1951C2—344no—
1952C2—682no—
1953C2—682no—
1954C2—682no—
1955C2#1454306814yesdirect product factor
1956C2C2×H(5,𝔽2)×D1711yescharacteristic
1957C2C2×2−1+4×D1711yescharacteristic
1958C2C2×#1176364511yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#542C2
socleC23×C17C25
hypercenterC2×#542D17
hypocenterC17C2×#3541
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. #14543068C2direct (N × H)
2. C2×#11763561C2semidirect
3. C2×#11763558C2semidirect
4. C2×#11763555C2semidirect
5. C2×#11763553C2semidirect
6. C2×#11763531C2semidirect
7. C2×#11763519C2semidirect
8. C2×#11763513C2semidirect
9. C2×#11763513C2semidirect
10. C2×#11763510C2semidirect
11. C2×#11763504C2semidirect
12. C2×#11763503C2semidirect
13. C2×#11763492C2semidirect
14. C2×#11763474C2semidirect
15. C2×#11763469C2semidirect
16. C2×#11763467C2semidirect
17. C2×#11763457C2semidirect
18. C2×#11763427C2semidirect
19. C2×#11763423C2semidirect
20. C2×#11763416C2semidirect
21. C2×#11763405C2semidirect
22. C2×#11763401C2semidirect
23. C2×#11763398C2semidirect
24. C2×#11763393C2semidirect
25. C2×#11763393C2semidirect
26. C2×#11763391C2semidirect
27. C2×#11763386C2semidirect
28. C2×#11763379C2semidirect
29. C2×#11763318C2semidirect
30. C2×#11763317C2semidirect
31. C2×C22⋊Q8×D17C2semidirect
32. C2×C17×#542C2semidirect
35. C22×#63254C22semidirect
37. C22×Q8×D17C22semidirect
39. #11763561C22semidirect
40. #11763558C22semidirect
41. #11763555C22semidirect
42. #11763553C22semidirect
43. #11763531C22semidirect
44. #11763519C22semidirect
45. #11763513C22semidirect
46. #11763513C22semidirect
47. #11763510C22semidirect
48. #11763504C22semidirect
49. #11763503C22semidirect
50. #11763492C22semidirect
51. #11763474C22semidirect
52. #11763469C22semidirect
53. #11763467C22semidirect
54. #11763457C22semidirect
55. #11763427C22semidirect
56. #11763423C22semidirect
57. #11763416C22semidirect
58. #11763405C22semidirect
59. #11763401C22semidirect
60. #11763398C22semidirect
61. #11763393C22semidirect
62. #11763393C22semidirect
63. #11763391C22semidirect
64. #11763386C22semidirect
65. #11763379C22semidirect
66. C2×#10587555C22semidirect
67. C2×#10587574C22semidirect
68. C2×#10587574C22semidirect
69. C2×#10587630C22semidirect
70. C2×#10587630C22semidirect
73. C2×#10587584C22semidirect
74. C2×#10587584C22semidirect
77. C2×#10587562C22semidirect
78. C2×#10587562C22semidirect
82. C2×#10587565C22semidirect
83. C2×#10587556C22semidirect
84. C2×#10587556C22semidirect
85. C2×#10587576C22semidirect
86. C2×#10587575C22semidirect
87. C2×#10587575C22semidirect
88. C2×#10587575C22semidirect
89. C2×#10587575C22semidirect
90. C2×#10587575C22semidirect
91. C2×#10587575C22semidirect
98. C2×#10587571C22semidirect
99. C2×#10587571C22semidirect
100. #11763318C22semidirect
101. #11763317C22semidirect
104. C2×#10587580C22semidirect
107. C2×#10587572C22semidirect
114. C2×#10587569C22semidirect
115. C2×#10587569C22semidirect
116. C2×#10587569C22semidirect
127. C2×#10587582C22semidirect
128. C2×#10587582C22semidirect
129. C2×#10587582C22semidirect
130. C2×#10587582C22semidirect
134. C2×#10587564C22semidirect
135. C2×#10587564C22semidirect
136. C2×#10587564C22semidirect
137. C2×#10587564C22semidirect
138. C2×#10587564C22semidirect
139. C2×#10587564C22semidirect
143. C2×#10587632C22semidirect
144. C2×#10587632C22semidirect
145. C2×#10587632C22semidirect
146. C22⋊Q8×D17C22semidirect
149. C2×#10587616C22semidirect
158. C2×#10587570C22semidirect
163. C2×#10587625C22semidirect
169. C2×C4×Dic34C22semidirect
170. C2×C4×Dic34C22semidirect
171. C2×#10587573C22semidirect
172. C2×#10587573C22semidirect
180. C2×#10587579C22semidirect
184. C2×C4×C22⋊D17C22semidirect
190. C2×#10587567C22semidirect
192. C2×#10587558C22semidirect
194. C2×#10587563C22semidirect
195. C22×#63225C22semidirect
196. C22×#63225C22semidirect
200. C2×C4⋊C4×D17C22semidirect
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
247. C2×Q8×D17C23semidirect
251. C2×#63254C23semidirect
282. C17×C4⋊Q8C23semidirect
284. C17×#126C23semidirect
287. C17×#124C23semidirect
289. C17×#123C23semidirect
291. C17×C22⋊Q8C23semidirect
292. C17×C22⋊Q8C23semidirect
294. C4×Q8×C17C23semidirect
296. C17×#117C23semidirect
336. #10587632C23semidirect
337. #10587632C23semidirect
338. #10587632C23semidirect
339. #10587630C23semidirect
340. #10587630C23semidirect
345. #10587625C23semidirect
351. #10587616C23semidirect
357. C4×C22⋊D17C23semidirect
421. C2×#63225C23semidirect
422. C2×#63225C23semidirect
433. #10587584C23semidirect
434. #10587584C23semidirect
443. #10587582C23semidirect
444. #10587582C23semidirect
445. #10587582C23semidirect
446. #10587582C23semidirect
451. #10587580C23semidirect
455. #10587579C23semidirect
459. C4⋊C4×D17C23semidirect
460. #10587576C23semidirect
461. #10587575C23semidirect
462. #10587575C23semidirect
463. #10587575C23semidirect
464. #10587575C23semidirect
465. #10587575C23semidirect
466. #10587575C23semidirect
467. #10587574C23semidirect
468. #10587574C23semidirect
469. #10587573C23semidirect
470. #10587573C23semidirect
473. #10587572C23semidirect
476. #10587571C23semidirect
477. #10587571C23semidirect
486. #10587570C23semidirect
491. #10587569C23semidirect
492. #10587569C23semidirect
493. #10587569C23semidirect
501. #10587567C23semidirect
507. #10587565C23semidirect
511. #10587564C23semidirect
512. #10587564C23semidirect
513. #10587564C23semidirect
514. #10587564C23semidirect
515. #10587564C23semidirect
516. #10587564C23semidirect
518. #10587563C23semidirect
521. #10587562C23semidirect
522. #10587562C23semidirect
529. #10587558C23semidirect
530. #10587556C23semidirect
531. #10587556C23semidirect
532. #10587555C23semidirect
533. C4×Dic34C23semidirect
534. C4×Dic34C23semidirect
931. C2×#542D17semidirect
1025. #542C2×D17semidirect
1040. C2×C4⋊Q8C2×D17semidirect
1054. C2×#126C2×D17semidirect
1074. C2×#124C2×D17semidirect
1094. C2×#123C2×D17semidirect
1125. C2×C22⋊Q8C2×D17semidirect
1126. C2×C22⋊Q8C2×D17semidirect
1154. C2×C4×Q8C2×D17semidirect
1178. C2×#117C2×D17semidirect
1190. C2×C17#3541semidirect
1266. C4⋊Q8C22×D17semidirect
1280. #126C22×D17semidirect
1300. #124C22×D17semidirect
1318. #123C22×D17semidirect
1348. C22⋊Q8C22×D17semidirect
1349. C22⋊Q8C22×D17semidirect
1377. C4×Q8C22×D17semidirect
1401. #117C22×D17semidirect
1514. C17C2×#3541semidirect
1955. C2#14543068direct (N × H)

Maximal subgroups

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

subgroupindex
#145430682
C2×#117635612
C2×#117635582
C2×#117635552
C2×#117635532
C2×#117635312
C2×#117635192
C2×#117635132
C2×#117635102
C2×#117635042
C2×#117635032
C2×#117634922
C2×#117634742
C2×#117634692
C2×#117634672
C2×#117634572
C2×#117634272
C2×#117634232
C2×#117634162
C2×#117634052
C2×#117634012
C2×#117633982
C2×#117633932
C2×#117633912
C2×#117633862
C2×#117633792
C2×#117633182
C2×#117633172
C2×C22⋊Q8×D172
C2×C17×#5422
C2×#354117