Finite Group Databasebeta

← #17199682

Subgroups — #17199682

Order 4352.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14531950C211yesmaximal, characteristic, complemented
2#14531941C211yesmaximal, characteristic, complemented
3#14531932C211yesmaximal, characteristic, complemented
4#14531925C211yesmaximal, characteristic, complemented
5#14531896C211yesmaximal, characteristic, complemented
6#14531836C211yesmaximal, characteristic, complemented
7#14531826C211yesmaximal, characteristic, complemented
8#14531780C211yesmaximal, characteristic, complemented
9#14531768C211yesmaximal, characteristic, complemented
10#14531724C211yesmaximal, characteristic, complemented
11#14531724C211yesmaximal, characteristic, complemented
12#14531633C211yesmaximal, characteristic, complemented
13#14531633C211yesmaximal, characteristic, complemented
14#14531614C211yesmaximal, characteristic, complemented
15D4×C22⋊Dic17C211yesmaximal, characteristic, complemented
16#14531599C211yesmaximal, characteristic, complemented
17#14531578C211yesmaximal, characteristic, complemented
18#14531551C211yesmaximal, characteristic, complemented
19#14531542C211yesmaximal, characteristic, complemented
20#14531489C211yesmaximal, characteristic, complemented
21#14531456C211yesmaximal, characteristic, complemented
22#14531445C211yesmaximal, characteristic, complemented
23#14531445C211yesmaximal, characteristic, complemented
24#14531427C211yesmaximal, characteristic, complemented
25#14531382C211yesmaximal, characteristic, complemented
26#14531376C211yesmaximal, characteristic, complemented
27#14531362C211yesmaximal, characteristic, complemented
28#121×Dic17C211yesmaximal, characteristic, complemented
29#14531229C211yesmaximal, characteristic, complemented
30C2×#11762702C211yesmaximal, characteristic, complemented
31C2×C17×#546C211yesmaximal, characteristic
32C2×D4×Dic17C2211yescharacteristic
33C2×D4×Dic17C2211yescharacteristic
34C2×D4×Dic17C2211yescharacteristic, complemented
35C2×D4×Dic17C2211yescharacteristic, complemented
36C2×D4×Dic17C2211yescharacteristic, complemented
37C2×D4×Dic17C2211yescharacteristic, complemented
38C2×#10587612C2211yescharacteristic, complemented
39C2×#10587612C2211yescharacteristic, complemented
40C22×C4⋊Dic17C2211yescharacteristic, complemented
41C22×C22⋊Dic17C2211yescharacteristic
42C22×C22⋊Dic17C2211yescharacteristic
43C22×C22⋊Dic17C2211yescharacteristic
44C22×C22⋊Dic17C2211yescharacteristic
45C22×C4×Dic17C2211yescharacteristic, complemented
46#11762716C2211yescharacteristic, complemented
47#11762716C2211yescharacteristic, complemented
48#11762716C2211yescharacteristic, complemented
49#11762716C2211yescharacteristic, complemented
50#11762712C2211yescharacteristic
51#11762712C2211yescharacteristic
52#11762712C2211yescharacteristic
53#11762712C2211yescharacteristic
54#11762712C2211yescharacteristic, complemented
55#11762712C2211yescharacteristic, complemented
56#11762712C2211yescharacteristic, complemented
57#11762712C2211yescharacteristic, complemented
58#11762708C2211yescharacteristic, complemented
59#11762708C2211yescharacteristic, complemented
60#11762708C2211yescharacteristic, complemented
61#11762708C2211yescharacteristic, complemented
62#11762702C2211yescharacteristic
63#11762702C2211yescharacteristic
64#11762702C2211yescharacteristic
65#11762702C2211yescharacteristic
66#11762702C2211yescharacteristic
67#11762702C2211yescharacteristic
68#11762702C2211yescharacteristic
69#11762702C2211yescharacteristic
70#11762702C2211yescharacteristic
71#11762702C2211yescharacteristic
72#11762702C2211yescharacteristic
73#11762702C2211yescharacteristic
74#11762702C2211yescharacteristic, complemented
75#11762702C2211yescharacteristic, complemented
76#11762702C2211yescharacteristic, complemented
77#11762702C2211yescharacteristic, complemented
78#11762702C2211yescharacteristic, complemented
79#11762702C2211yescharacteristic, complemented
80#11762702C2211yescharacteristic, complemented
81#11762702C2211yescharacteristic, complemented
82#11762702C2211yescharacteristic, complemented
83#11762702C2211yescharacteristic, complemented
84#11762702C2211yescharacteristic, complemented
85#11762702C2211yescharacteristic, complemented
86#11762702C2211yescharacteristic, complemented
87#11762702C2211yescharacteristic, complemented
88#11762702C2211yescharacteristic, complemented
89#11762702C2211yescharacteristic, complemented
90#11762702C2211yescharacteristic, complemented
91#11762702C2211yescharacteristic, complemented
92#11762695C2211yescharacteristic, complemented
93#11762695C2211yescharacteristic, complemented
94#11762695C2211yescharacteristic, complemented
95#11762695C2211yescharacteristic, complemented
96#11762695C2211yescharacteristic, complemented
97#11762695C2211yescharacteristic, complemented
98#11762695C2211yescharacteristic, complemented
99#11762695C2211yescharacteristic, complemented
100#11762695C2211yescharacteristic, complemented
101#11762695C2211yescharacteristic, complemented
102#11762689C2211yescharacteristic
103#11762689C2211yescharacteristic
104#11762689C2211yescharacteristic
105#11762689C2211yescharacteristic
106#11762689C2211yescharacteristic
107#11762689C2211yescharacteristic
108#11762689C2211yescharacteristic
109#11762689C2211yescharacteristic
110#11762689C2211yescharacteristic
111#11762689C2211yescharacteristic
112#11762689C2211yescharacteristic
113#11762689C2211yescharacteristic
114#11762689C2211yescharacteristic
115#11762689C2211yescharacteristic
116#11762689C2211yescharacteristic, complemented
117#11762689C2211yescharacteristic, complemented
118#11762689C2211yescharacteristic, complemented
119#11762689C2211yescharacteristic, complemented
120#11762689C2211yescharacteristic, complemented
121#11762689C2211yescharacteristic, complemented
122#11762689C2211yescharacteristic, complemented
123#11762689C2211yescharacteristic, complemented
124#11762684C2211yescharacteristic, complemented
125#11762684C2211yescharacteristic, complemented
126#11762684C2211yescharacteristic, complemented
127#11762684C2211yescharacteristic, complemented
128#11762684C2211yescharacteristic, complemented
129#11762684C2211yescharacteristic, complemented
130#11762684C2211yescharacteristic, complemented
131#11762684C2211yescharacteristic, complemented
132#11762677C2211yescharacteristic, complemented
133#11762672C2211yescharacteristic
134#11762672C2211yescharacteristic
135#11762672C2211yescharacteristic, complemented
136#11762672C2211yescharacteristic, complemented
137#11762672C2211yescharacteristic, complemented
138#11762669C2211yescharacteristic
139#11762669C2211yescharacteristic, complemented
140#11762669C2211yescharacteristic, complemented
141#11762669C2211yescharacteristic, complemented
142#11762669C2211yescharacteristic, complemented
143#11762669C2211yescharacteristic, complemented
144#11762669C2211yescharacteristic, complemented
145#11762665C2211yescharacteristic
146#11762665C2211yescharacteristic
147#11762665C2211yescharacteristic
148#11762665C2211yescharacteristic
149C4⋊C4×Dic17C2211yescharacteristic, complemented
150C4⋊C4×Dic17C2211yescharacteristic, complemented
151C4×C4⋊Dic17C2211yescharacteristic, complemented
152C22⋊C4×Dic17C2211yescharacteristic, complemented
153C22⋊C4×Dic17C2211yescharacteristic, complemented
154C22⋊C4×Dic17C2211yescharacteristic, complemented
155C22⋊C4×Dic17C2211yescharacteristic, complemented
156C22⋊C4×Dic17C2211yescharacteristic, complemented
157C22⋊C4×Dic17C2211yescharacteristic, complemented
158C22⋊C4×Dic17C2211yescharacteristic, complemented
159C22⋊C4×Dic17C2211yescharacteristic, complemented
160C22⋊C4×Dic17C2211yescharacteristic, complemented
161C22⋊C4×Dic17C2211yescharacteristic, complemented
162C4×C22⋊Dic17C2211yescharacteristic
163C4×C22⋊Dic17C2211yescharacteristic, complemented
164C4×C22⋊Dic17C2211yescharacteristic, complemented
165C4×C22⋊Dic17C2211yescharacteristic, complemented
166C4×C22⋊Dic17C2211yescharacteristic, complemented
167#11762655C2211yescharacteristic, complemented
168#11762655C2211yescharacteristic, complemented
169C2×#10587502C2211yescharacteristic, complemented
170C2×#10587502C2211yescharacteristic, complemented
171C2×#10587502C2211yescharacteristic, complemented
172C22×#41×C17C2211yescharacteristic
173C23×D4×C17C2211yescharacteristic
174C17×#546C4116yescomplemented
175C2×C17×#124C2211yescharacteristic
176C2×C17×#123C2211yescharacteristic
177C2×C17×#123C2211yescharacteristic
178C2×C17×C22⋊Q8C2211yescharacteristic
179C2×C17×#121C2211yescharacteristic
180C2×C17×#121C2211yescharacteristic
181C2×C17×#121C2211yescharacteristic
182C2×C17×#120C2211yescharacteristic
183C2×C17×#120C2211yescharacteristic
184C2×C4×D4×C17C2211yescharacteristic
185C2×C4×D4×C17C2211yescharacteristic
186C22×C22⋊C4×C17C2211yescharacteristic
187C22×C22⋊C4×C17C2211yescharacteristic
188C25×C17C2311yescharacteristic
189C25×C17C2311yescharacteristic
190C2×#41×C17—42no—
191C2×#41×C17—42no—
192C2×#41×C17C2×C418yescomplemented
193C22×Q8×C17C2311yescharacteristic
194C22×D4×C17—42no—
195C22×D4×C17—42no—
196C22×D4×C17C2×C418yescomplemented
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C22×D4×C17C2311yescharacteristic
201C22×D4×C17C2311yescharacteristic
202C22×D4×C17C2311yescharacteristic
203C22×D4×C17C2311yescharacteristic
204C22×D4×C17C2311yescharacteristic
205C22×D4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C23×C4×C17C2311yescharacteristic
209C23×C4×C17C2311yescharacteristic
210C23×C4×C17C2311yescharacteristic
211C23×C4×C17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C23×Dic17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C23×Dic17C2311yescharacteristic
216C23×Dic17C2311yescharacteristic
217C23×Dic17C2311yescharacteristic
218C23×Dic17C2311yescharacteristic
219C23×Dic17C2311yescharacteristic
220C23×Dic17C2311yescharacteristic
221C23×Dic17C2311yescharacteristic
222C17×#124C2×C418yescomplemented
223C17×#123C2×C418yescomplemented
224C17×#123C2×C418yescomplemented
225C17×C22⋊Q8C2×C418yescomplemented
226C17×#121C2×C418yescomplemented
227C17×#121C2×C418yescomplemented
228C17×#121C2×C418yescomplemented
229C17×#120C2×C418yescomplemented
230C17×#120C2×C418yescomplemented
231C4×D4×C17C2×C418yescomplemented
232C4×D4×C17C2×C418yescomplemented
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×C4⋊C4×C17C2311yescharacteristic
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2×C418yescomplemented
238C2×C22⋊C4×C17C2×C418yescomplemented
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C42×C17C2311yescharacteristic
252C2×C22⋊Dic17—42no—
253C2×C22⋊Dic17—42no—
254C2×C22⋊Dic17—42no—
255C2×C22⋊Dic17—42no—
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277C2×C22⋊Dic17C2311yescharacteristic
278C2×C22⋊Dic17C2311yescharacteristic
279C2×C22⋊Dic17C2311yescharacteristic
280C2×C22⋊Dic17C2311yescharacteristic
281C2×C22⋊Dic17C2311yescharacteristic
282C2×C22⋊Dic17C2311yescharacteristic
283C2×C22⋊Dic17C2311yescharacteristic
284C2×C22⋊Dic17C2311yescharacteristic
285C2×C22⋊Dic17C2311yescharacteristic
286C2×C22⋊Dic17C2311yescharacteristic
287C2×C22⋊Dic17C2311yescharacteristic
288C2×C22⋊Dic17C2311yescharacteristic
289C2×C22⋊Dic17C2311yescharacteristic
290C2×C22⋊Dic17C2311yescharacteristic
291C2×C22⋊Dic17C2311yescharacteristic
292C2×C22⋊Dic17C2311yescharacteristic
293C2×C22⋊Dic17C2311yescharacteristic
294D4×Dic17—42no—
295D4×Dic17—42no—
296D4×Dic17—42no—
297D4×Dic17—42no—
298D4×Dic17—42no—
299D4×Dic17—42no—
300#10587612—42no—
301#10587612—42no—
302C2×C4⋊Dic17—42no—
303C2×C4⋊Dic17C2311yescharacteristic
304C2×C4⋊Dic17C2311yescharacteristic
305C2×C4⋊Dic17C2311yescharacteristic
306C2×C4⋊Dic17C2311yescharacteristic
307C2×C4⋊Dic17C2311yescharacteristic
308C2×C4⋊Dic17C2311yescharacteristic
309C2×C4⋊Dic17C2311yescharacteristic
310C2×C4⋊Dic17C2311yescharacteristic
311C2×C4⋊Dic17C2311yescharacteristic
312C2×C4⋊Dic17C2311yescharacteristic
313C2×C4⋊Dic17C2311yescharacteristic
314C2×C4⋊Dic17C2311yescharacteristic
315C2×C4⋊Dic17C2311yescharacteristic
316C2×C4⋊Dic17C2311yescharacteristic
317C2×C4⋊Dic17C2311yescharacteristic
318C2×C4⋊Dic17C2311yescharacteristic
319C2×C4×Dic17—42no—
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324C2×C4×Dic17C2311yescharacteristic
325C2×C4×Dic17C2311yescharacteristic
326C2×C4×Dic17C2311yescharacteristic
327C2×C4×Dic17C2311yescharacteristic
328C2×C4×Dic17C2311yescharacteristic
329C2×C4×Dic17C2311yescharacteristic
330C2×C4×Dic17C2311yescharacteristic
331C2×C4×Dic17C2311yescharacteristic
332C2×C4×Dic17C2311yescharacteristic
333C2×C4×Dic17C2311yescharacteristic
334C2×C4×Dic17C2311yescharacteristic
335C2×C4×Dic17C2311yescharacteristic
336#10587502C2311yescharacteristic
337#10587502C2311yescharacteristic
338#10587502C2311yescharacteristic
339#10587502C2311yescharacteristic
340#10587502C2311yescharacteristic
341#10587502C2311yescharacteristic
342#10587502C2311yescharacteristic
343#10587502C2311yescharacteristic
344#10587502C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376C24×C17—22no—
377C24×C17—22no—
378C24×C17—41no—
379C24×C17—41no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17—41no—
383C24×C17—41no—
384C24×C17—41no—
385C24×C17—41no—
386C24×C17—41no—
387C24×C17—41no—
388C24×C17C22×C414yes—
389C24×C17C22×C414yes—
390C24×C17C2411yescharacteristic
391C24×C17C2411yescharacteristic
392C24×C17C2411yescharacteristic
393C24×C17C2411yescharacteristic
394C24×C17C2411yescharacteristic
395C24×C17C2411yescharacteristic
396#41×C17—416no—
397C2×Q8×C17—41no—
398C2×Q8×C17—41no—
399C2×Q8×C17C22×C414yes—
400C2×D4×C17—22no—
401C2×D4×C17—22no—
402C2×D4×C17—22no—
403C2×D4×C17—22no—
404C2×D4×C17—22no—
405C2×D4×C17—22no—
406C2×D4×C17—41no—
407C2×D4×C17—41no—
408C2×D4×C17—41no—
409C2×D4×C17—41no—
410C2×D4×C17—41no—
411C2×D4×C17—41no—
412C2×D4×C17—41no—
413C2×D4×C17—41no—
414C2×D4×C17—41no—
415C2×D4×C17—41no—
416C2×D4×C17—41no—
417C2×D4×C17—41no—
418C2×D4×C17—416no—
419C2×D4×C17C22×C414yes—
420C2×D4×C17C22×C414yes—
421C2×D4×C17C22×C414yes—
422C2×D4×C17C22×C414yes—
423C2×D4×C17C22×C414yes—
424C2×D4×C17C22×C414yes—
425C2×D4×C17C22×C414yes—
426C2×D4×C17C22×C414yes—
427C2×D4×C17C22×C414yes—
428C22×C4×C17—22no—
429C22×C4×C17—22no—
430C22×C4×C17—41no—
431C22×C4×C17—41no—
432C22×C4×C17—41no—
433C22×C4×C17—41no—
434C22×C4×C17—41no—
435C22×C4×C17—41no—
436C22×C4×C17—41no—
437C22×C4×C17—41no—
438C22×C4×C17—41no—
439C22×C4×C17—41no—
440C22×C4×C17C22×C414yes—
441C22×C4×C17C22×C414yes—
442C22×C4×C17C22×C414yes—
443C22×C4×C17C22×C414yes—
444C22×C4×C17C22×C414yes—
445C22×C4×C17C22×C414yes—
446C22×C4×C17C2411yescharacteristic
447C22×C4×C17C2411yescharacteristic
448C22×C4×C17C2411yescharacteristic
449C22×C4×C17C2411yescharacteristic
450C22×C4×C17C2411yescharacteristic
451C22×C4×C17C2411yescharacteristic
452C22×C4×C17C2411yescharacteristic
453C22×C4×C17C2411yescharacteristic
454C22×C4×C17C2411yescharacteristic
455C22×Dic17—22no—
456C22×Dic17—22no—
457C22×Dic17—22no—
458C22×Dic17—22no—
459C22×Dic17—22no—
460C22×Dic17—22no—
461C22×Dic17—22no—
462C22×Dic17—41no—
463C22×Dic17—41no—
464C22×Dic17—41no—
465C22×Dic17—41no—
466C22×Dic17—41no—
467C22×Dic17—41no—
468C22×Dic17—41no—
469C22×Dic17—41no—
470C22×Dic17—41no—
471C22×Dic17—41no—
472C22×Dic17—41no—
473C22×Dic17—41no—
474C22×Dic17—41no—
475C22×Dic17—41no—
476C22×Dic17—41no—
477C22×Dic17—41no—
478C22×Dic17—41no—
479C22×Dic17—41no—
480C22×Dic17—41no—
481C22×Dic17—41no—
482C22×Dic17—41no—
483C22×Dic17—41no—
484C22×Dic17—41no—
485C22×Dic17C2411yescharacteristic
486C22×Dic17C2411yescharacteristic
487C22×Dic17C2411yescharacteristic
488C22×Dic17C2411yescharacteristic
489C22×Dic17C2411yescharacteristic
490C22×Dic17C2411yescharacteristic
491C22×Dic17C2411yescharacteristic
492C22×Dic17C2411yescharacteristic
493C22×Dic17C2411yescharacteristic
494C22×Dic17C2411yescharacteristic
495C22×Dic17C2411yescharacteristic
496C22×Dic17C2411yescharacteristic
497C22×Dic17C2411yescharacteristic
498C22×Dic17C2411yescharacteristic
499C22×Dic17C2411yescharacteristic
500C22×Dic17C2411yescharacteristic
501C4⋊C4×C17C22×C414yes—
502C4⋊C4×C17C22×C414yes—
503C4⋊C4×C17C22×C414yes—
504C4⋊C4×C17C22×C414yes—
505C22⋊C4×C17C22×C414yes—
506C22⋊C4×C17C22×C414yes—
507C22⋊C4×C17C22×C414yes—
508C22⋊C4×C17C22×C414yes—
509C22⋊C4×C17C22×C414yes—
510C22⋊C4×C17C22×C414yes—
511C22⋊C4×C17C22×C414yes—
512C22⋊C4×C17C22×C414yes—
513C22⋊C4×C17C22×C414yes—
514C22⋊C4×C17C22×C414yes—
515C22⋊C4×C17C22×C414yes—
516C22⋊C4×C17C22×C414yes—
517C42×C17C22×C414yes—
518C22⋊Dic17—22no—
519C22⋊Dic17—22no—
520C22⋊Dic17—22no—
521C22⋊Dic17—22no—
522C22⋊Dic17—22no—
523C22⋊Dic17—22no—
524C22⋊Dic17—22no—
525C22⋊Dic17—41no—
526C22⋊Dic17—41no—
527C22⋊Dic17—41no—
528C22⋊Dic17—41no—
529C22⋊Dic17—41no—
530C22⋊Dic17—41no—
531C22⋊Dic17—41no—
532C22⋊Dic17—41no—
533C22⋊Dic17—41no—
534C22⋊Dic17—41no—
535C22⋊Dic17—41no—
536C22⋊Dic17—41no—
537C22⋊Dic17—41no—
538C22⋊Dic17—41no—
539C22⋊Dic17—41no—
540C22⋊Dic17—41no—
541C22⋊Dic17—41no—
542C22⋊Dic17—41no—
543C22⋊Dic17—41no—
544C22⋊Dic17—41no—
545C22⋊Dic17—41no—
546C22⋊Dic17—41no—
547C22⋊Dic17—41no—
548C22⋊Dic17—41no—
549C22⋊Dic17—41no—
550C22⋊Dic17—41no—
551C22⋊Dic17—41no—
552C22⋊Dic17—41no—
553C22⋊Dic17—41no—
554C22⋊Dic17—41no—
555C22⋊Dic17—41no—
556C4⋊Dic17—22no—
557C4⋊Dic17—41no—
558C4⋊Dic17—41no—
559C4⋊Dic17—41no—
560C4⋊Dic17—41no—
561C4⋊Dic17—41no—
562C4⋊Dic17—41no—
563C4⋊Dic17—41no—
564C4⋊Dic17—41no—
565C4⋊Dic17—41no—
566C4⋊Dic17—41no—
567C4⋊Dic17—41no—
568C4⋊Dic17—41no—
569C4⋊Dic17—41no—
570C4⋊Dic17—41no—
571C4⋊Dic17—41no—
572C4×Dic17—22no—
573C4×Dic17—22no—
574C4×Dic17—41no—
575C4×Dic17—41no—
576C4×Dic17—41no—
577C4×Dic17—41no—
578C4×Dic17—41no—
579C4×Dic17—41no—
580C4×Dic17—41no—
581C4×Dic17—41no—
582C4×Dic17—41no—
583C4×Dic17—41no—
584C4×Dic17—41no—
585C4×Dic17—41no—
586C4×Dic17—41no—
587C4×Dic17—41no—
588#34492—171nomaximal, Sylow
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—21no—
599C23×C17—21no—
600C23×C17—21no—
601C23×C17—21no—
602C23×C17—21no—
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—21no—
606C23×C17—21no—
607C23×C17—21no—
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—28no—
624C23×C17—44no—
625C23×C17—44no—
626C23×C17—44no—
627C23×C17—44no—
628C23×C17—44no—
629C23×C17—82no—
630C23×C17—82no—
631C23×C17—82no—
632C23×C17—82no—
633C23×C17—82no—
634C23×C17—82no—
635C23×C17—82no—
636C23×C17—82no—
637C23×C17C23×C412yes—
638C23×C17C23×C412yes—
639C23×C17C23×C412yes—
640C23×C17C23×C412yes—
641C23×C17C23×C412yes—
642C23×C17C23×C412yes—
643C23×C17H(5,𝔽2)12yes—
644C23×C17H(5,𝔽2)12yes—
645C23×C17C2511yescharacteristic
646Q8×C17—44no—
647D4×C17—28no—
648D4×C17—28no—
649D4×C17—28no—
650D4×C17—44no—
651D4×C17—44no—
652D4×C17—44no—
653D4×C17—44no—
654D4×C17—44no—
655D4×C17—44no—
656C2×C4×C17—28no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—44no—
676C2×C4×C17—44no—
677C2×C4×C17—44no—
678C2×C4×C17—44no—
679C2×C4×C17—44no—
680C2×C4×C17C23×C412yes—
681C2×C4×C17C23×C412yes—
682C2×C4×C17C23×C412yes—
683C2×C4×C17C23×C412yes—
684C2×C4×C17C23×C412yes—
685C2×C4×C17C23×C412yes—
686C2×C4×C17C23×C412yes—
687C2×C4×C17C23×C412yes—
688C2×C4×C17C23×C412yes—
689C2×Dic17—21no—
690C2×Dic17—21no—
691C2×Dic17—21no—
692C2×Dic17—21no—
693C2×Dic17—21no—
694C2×Dic17—21no—
695C2×Dic17—21no—
696C2×Dic17—21no—
697C2×Dic17—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—44no—
737C2×Dic17—44no—
738C2×Dic17—82no—
739C2×Dic17—82no—
740C2×Dic17—82no—
741C2×Dic17—82no—
742C2×Dic17—82no—
743C2×Dic17—82no—
744C2×Dic17—82no—
745C2×Dic17—82no—
746C2×Dic17H(5,𝔽2)12yes—
747C2×#546D1711yescharacteristic
748#2378—171no—
749#2377—171no—
750#2376—171no—
751#2375—171no—
752#2372—171no—
753#2364—171no—
754#2363—171no—
755#2359—171no—
756#2358—171no—
757#2353—171no—
758#2353—171no—
759#2342—171no—
760#2342—171no—
761#2339—171no—
762D4×C22⋊C4—171no—
763#2337—171no—
764#2335—171no—
765#2333—171no—
766#2332—171no—
767#2325—171no—
768#2322—171no—
769#2321—171no—
770#2321—171no—
771#2319—171no—
772#2312—171no—
773#2311—171no—
774#2308—171no—
775C4×#121—171no—
776#2290—171no—
777C2×#388—171no—
778C22×C17—22no—
779C22×C17—22no—
780C22×C17—22no—
781C22×C17—22no—
782C22×C17—22no—
783C22×C17—22no—
784C22×C17—22no—
785C22×C17—22no—
786C22×C17—22no—
787C22×C17—22no—
788C22×C17—22no—
789C22×C17—22no—
790C22×C17—22no—
791C22×C17—22no—
792C22×C17—22no—
793C22×C17—22no—
794C22×C17—22no—
795C22×C17—22no—
796C22×C17—22no—
797C22×C17—22no—
798C22×C17—22no—
799C22×C17—41no—
800C22×C17—41no—
801C22×C17—41no—
802C22×C17—41no—
803C22×C17—41no—
804C22×C17—41no—
805C22×C17—41no—
806C22×C17—41no—
807C22×C17—41no—
808C22×C17—41no—
809C22×C17—41no—
810C22×C17—41no—
811C22×C17—41no—
812C22×C17—41no—
813C22×C17—41no—
814C22×C17—41no—
815C22×C17—41no—
816C22×C17—41no—
817C22×C17—41no—
818C22×C17—41no—
819C22×C17—88no—
820C22×C17—88no—
821C22×C17#51814yes—
822C22×C17C24×C411yescharacteristic
823C22×C17C2×H(5,𝔽2)11yescharacteristic
824C22×C17C2×H(5,𝔽2)11yescharacteristic
825C22×C17C2×H(5,𝔽2)11yescharacteristic
826C22×C17#58511yescharacteristic
827C22×C17#58511yescharacteristic
828C22×C17#58511yescharacteristic
829C4×C17—22no—
830C4×C17—22no—
831C4×C17—22no—
832C4×C17—22no—
833C4×C17—22no—
834C4×C17—22no—
835C4×C17—22no—
836C4×C17—22no—
837C4×C17—22no—
838Dic17—22no—
839Dic17—41no—
840Dic17—41no—
841Dic17—41no—
842Dic17—41no—
843Dic17—41no—
844Dic17—41no—
845Dic17—41no—
846Dic17—41no—
847Dic17—41no—
848Dic17—41no—
849Dic17—41no—
850Dic17—41no—
851Dic17—41no—
852Dic17—41no—
853Dic17—41no—
854C22×#41C2×D1711yescharacteristic
855C23×D4C2×D1711yescharacteristic
856#546Dic17116yescomplemented
857C2×#124C2×D1711yescharacteristic
858C2×#123C2×D1711yescharacteristic
859C2×#123C2×D1711yescharacteristic
860C2×C22⋊Q8C2×D1711yescharacteristic
861C2×#121C2×D1711yescharacteristic
862C2×#121C2×D1711yescharacteristic
863C2×#121C2×D1711yescharacteristic
864C2×#120C2×D1711yescharacteristic
865C2×#120C2×D1711yescharacteristic
866C2×C4×D4—171no—
867C2×C4×D4—171no—
868C2×C4×D4—171no—
869C2×C4×D4—171no—
870C2×C4×D4—171no—
871C2×C4×D4—171no—
872C2×C4×D4C2×D1711yescharacteristic
873C2×C4×D4C2×D1711yescharacteristic
874C2×#117—171no—
875C2×#117—171no—
876C22×C4⋊C4—171no—
877C22×C22⋊C4—171no—
878C22×C22⋊C4—171no—
879C22×C22⋊C4—171no—
880C22×C22⋊C4—171no—
881C22×C22⋊C4C2×D1711yescharacteristic
882C22×C22⋊C4C2×D1711yescharacteristic
883C22×C42—171no—
884#391—171no—
885#391—171no—
886#391—171no—
887#391—171no—
888#390—171no—
889#390—171no—
890#390—171no—
891#390—171no—
892#390—171no—
893#390—171no—
894#390—171no—
895#390—171no—
896#389—171no—
897#389—171no—
898#389—171no—
899#389—171no—
900#388—171no—
901#388—171no—
902#388—171no—
903#388—171no—
904#388—171no—
905#388—171no—
906#388—171no—
907#388—171no—
908#388—171no—
909#388—171no—
910#388—171no—
911#388—171no—
912#388—171no—
913#388—171no—
914#388—171no—
915#388—171no—
916#388—171no—
917#388—171no—
918#388—171no—
919#388—171no—
920#388—171no—
921#388—171no—
922#388—171no—
923#388—171no—
924#388—171no—
925#388—171no—
926#388—171no—
927#388—171no—
928#388—171no—
929#388—171no—
930#387—171no—
931#387—171no—
932#387—171no—
933#387—171no—
934#387—171no—
935#387—171no—
936#387—171no—
937#387—171no—
938#387—171no—
939#387—171no—
940#386—171no—
941#386—171no—
942#386—171no—
943#386—171no—
944#386—171no—
945#386—171no—
946#386—171no—
947#386—171no—
948#386—171no—
949#386—171no—
950#386—171no—
951#386—171no—
952#386—171no—
953#386—171no—
954#386—171no—
955#386—171no—
956#386—171no—
957#386—171no—
958#386—171no—
959#386—171no—
960#386—171no—
961#386—171no—
962#385—171no—
963#385—171no—
964#385—171no—
965#385—171no—
966#385—171no—
967#385—171no—
968#385—171no—
969#385—171no—
970#383—171no—
971#381—171no—
972#381—171no—
973#381—171no—
974#381—171no—
975#381—171no—
976#380—171no—
977#380—171no—
978#380—171no—
979#380—171no—
980#380—171no—
981#380—171no—
982#380—171no—
983#379—171no—
984#379—171no—
985#379—171no—
986#379—171no—
987C4×C4⋊C4—171no—
988C4×C4⋊C4—171no—
989C4×C4⋊C4—171no—
990C4×C22⋊C4—171no—
991C4×C22⋊C4—171no—
992C4×C22⋊C4—171no—
993C4×C22⋊C4—171no—
994C4×C22⋊C4—171no—
995C4×C22⋊C4—171no—
996C4×C22⋊C4—171no—
997C4×C22⋊C4—171no—
998C4×C22⋊C4—171no—
999C4×C22⋊C4—171no—
1000C4×C22⋊C4—171no—
1001C4×C22⋊C4—171no—
1002C4×C22⋊C4—171no—
1003C4×C22⋊C4—171no—
1004C4×C22⋊C4—171no—
1005#376—171no—
1006#376—171no—
1007C2×#95—171no—
1008C2×#95—171no—
1009C2×#95—171no—
1010C2×C17—24no—
1011C2×C17—42no—
1012C2×C17—42no—
1013C2×C17—42no—
1014C2×C17—42no—
1015C2×C17—42no—
1016C2×C17C2×#51811yescharacteristic
1017C2×C17#342811yescharacteristic
1018C2×C17C4×H(5,𝔽2)11yescharacteristic
1019C2×C17#353411yescharacteristic
1020C2×C17#354211yescharacteristic
1021C2×C17#354511yescharacteristic
1022C2×C17#356011yescharacteristic
1023C25C22×D1711yescharacteristic
1024C25C22×D1711yescharacteristic
1025C2×#41—42no—
1026C2×#41—42no—
1027C2×#41C2×Dic1718yescomplemented
1028C22×Q8C22×D1711yescharacteristic
1029C22×D4—42no—
1030C22×D4—42no—
1031C22×D4C2×Dic1718yescomplemented
1032C22×D4C22×D1711yescharacteristic
1033C22×D4C22×D1711yescharacteristic
1034C22×D4C22×D1711yescharacteristic
1035C22×D4C22×D1711yescharacteristic
1036C22×D4C22×D1711yescharacteristic
1037C22×D4C22×D1711yescharacteristic
1038C22×D4C22×D1711yescharacteristic
1039C22×D4C22×D1711yescharacteristic
1040C22×D4C22×D1711yescharacteristic
1041C23×C4—171no—
1042C23×C4—171no—
1043C23×C4—171no—
1044C23×C4—171no—
1045C23×C4—171no—
1046C23×C4—171no—
1047C23×C4—171no—
1048C23×C4—171no—
1049C23×C4—171no—
1050C23×C4—171no—
1051C23×C4C22×D1711yescharacteristic
1052C23×C4C22×D1711yescharacteristic
1053C23×C4C22×D1711yescharacteristic
1054C23×C4C22×D1711yescharacteristic
1055C23×C4C22×D1711yescharacteristic
1056C23×C4C22×D1711yescharacteristic
1057#124C2×Dic1718yescomplemented
1058#123C2×Dic1718yescomplemented
1059#123C2×Dic1718yescomplemented
1060C22⋊Q8C2×Dic1718yescomplemented
1061#121C2×Dic1718yescomplemented
1062#121C2×Dic1718yescomplemented
1063#121C2×Dic1718yescomplemented
1064#120C2×Dic1718yescomplemented
1065#120C2×Dic1718yescomplemented
1066C4×D4—682no—
1067C4×D4—682no—
1068C4×D4—682no—
1069C4×D4—682no—
1070C4×D4—682no—
1071C4×D4—682no—
1072C4×D4C2×Dic1718yescomplemented
1073C4×D4C2×Dic1718yescomplemented
1074#117—682no—
1075#117—682no—
1076C2×C4⋊C4—171no—
1077C2×C4⋊C4—171no—
1078C2×C4⋊C4—171no—
1079C2×C4⋊C4—171no—
1080C2×C4⋊C4—171no—
1081C2×C4⋊C4—171no—
1082C2×C4⋊C4—171no—
1083C2×C4⋊C4—171no—
1084C2×C4⋊C4—171no—
1085C2×C4⋊C4—171no—
1086C2×C4⋊C4—171no—
1087C2×C4⋊C4—171no—
1088C2×C4⋊C4—171no—
1089C2×C4⋊C4—171no—
1090C2×C4⋊C4—171no—
1091C2×C4⋊C4—171no—
1092C2×C4⋊C4—682no—
1093C2×C4⋊C4C22×D1711yescharacteristic
1094C2×C4⋊C4C22×D1711yescharacteristic
1095C2×C4⋊C4C22×D1711yescharacteristic
1096C2×C4⋊C4C22×D1711yescharacteristic
1097C2×C22⋊C4—171no—
1098C2×C22⋊C4—171no—
1099C2×C22⋊C4—171no—
1100C2×C22⋊C4—171no—
1101C2×C22⋊C4—171no—
1102C2×C22⋊C4—171no—
1103C2×C22⋊C4—171no—
1104C2×C22⋊C4—171no—
1105C2×C22⋊C4—171no—
1106C2×C22⋊C4—171no—
1107C2×C22⋊C4—171no—
1108C2×C22⋊C4—171no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—171no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—171no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—171no—
1117C2×C22⋊C4—171no—
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—171no—
1123C2×C22⋊C4—171no—
1124C2×C22⋊C4—171no—
1125C2×C22⋊C4—171no—
1126C2×C22⋊C4—171no—
1127C2×C22⋊C4—171no—
1128C2×C22⋊C4—171no—
1129C2×C22⋊C4—171no—
1130C2×C22⋊C4—171no—
1131C2×C22⋊C4—171no—
1132C2×C22⋊C4—171no—
1133C2×C22⋊C4—171no—
1134C2×C22⋊C4—171no—
1135C2×C22⋊C4—682no—
1136C2×C22⋊C4—682no—
1137C2×C22⋊C4—682no—
1138C2×C22⋊C4—682no—
1139C2×C22⋊C4C2×Dic1718yescomplemented
1140C2×C22⋊C4C2×Dic1718yescomplemented
1141C2×C22⋊C4C22×D1711yescharacteristic
1142C2×C22⋊C4C22×D1711yescharacteristic
1143C2×C22⋊C4C22×D1711yescharacteristic
1144C2×C22⋊C4C22×D1711yescharacteristic
1145C2×C22⋊C4C22×D1711yescharacteristic
1146C2×C22⋊C4C22×D1711yescharacteristic
1147C2×C22⋊C4C22×D1711yescharacteristic
1148C2×C22⋊C4C22×D1711yescharacteristic
1149C2×C22⋊C4C22×D1711yescharacteristic
1150C2×C22⋊C4C22×D1711yescharacteristic
1151C2×C22⋊C4C22×D1711yescharacteristic
1152C2×C22⋊C4C22×D1711yescharacteristic
1153C2×C42—171no—
1154C2×C42—171no—
1155C2×C42—171no—
1156C2×C42—171no—
1157C2×C42—171no—
1158C2×C42—171no—
1159C2×C42—171no—
1160C2×C42—171no—
1161C2×C42—171no—
1162C2×C42—171no—
1163C2×C42—171no—
1164C2×C42—171no—
1165C2×C42—171no—
1166C2×C42—171no—
1167C2×C42—171no—
1168C2×C42—171no—
1169C2×C42—682no—
1170C2×C42C22×D1711yescharacteristic
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95—171no—
1178#95—171no—
1179#95—171no—
1180#95—171no—
1181#95—171no—
1182#95—171no—
1183#95—171no—
1184#95—171no—
1185#95—171no—
1186#95—171no—
1187#95—171no—
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95—171no—
1195#95—171no—
1196#95—171no—
1197#95—171no—
1198#95—171no—
1199#95—171no—
1200#95—171no—
1201#95—171no—
1202#95—171no—
1203#95—171no—
1204#95—171no—
1205#95—171no—
1206#95—171no—
1207#95—171no—
1208#95—171no—
1209#95—171no—
1210#95—171no—
1211C17#3449211yescharacteristic, complemented, Sylow
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24C22×Dic1714yes—
1225C24C22×Dic1714yes—
1226C24C23×D1711yescharacteristic
1227C24C23×D1711yescharacteristic
1228C24C23×D1711yescharacteristic
1229C24C23×D1711yescharacteristic
1230C24C23×D1711yescharacteristic
1231C24C23×D1711yescharacteristic
1232#41—416no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8C22×Dic1714yes—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—416no—
1255C2×D4C22×Dic1714yes—
1256C2×D4C22×Dic1714yes—
1257C2×D4C22×Dic1714yes—
1258C2×D4C22×Dic1714yes—
1259C2×D4C22×Dic1714yes—
1260C2×D4C22×Dic1714yes—
1261C2×D4C22×Dic1714yes—
1262C2×D4C22×Dic1714yes—
1263C2×D4C22×Dic1714yes—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—171no—
1277C22×C4—171no—
1278C22×C4—171no—
1279C22×C4—171no—
1280C22×C4—171no—
1281C22×C4—171no—
1282C22×C4—171no—
1283C22×C4—171no—
1284C22×C4—171no—
1285C22×C4—171no—
1286C22×C4—171no—
1287C22×C4—171no—
1288C22×C4—171no—
1289C22×C4—171no—
1290C22×C4—171no—
1291C22×C4—171no—
1292C22×C4—342no—
1293C22×C4—342no—
1294C22×C4—342no—
1295C22×C4—342no—
1296C22×C4—342no—
1297C22×C4—342no—
1298C22×C4—342no—
1299C22×C4—681no—
1300C22×C4—681no—
1301C22×C4—681no—
1302C22×C4—681no—
1303C22×C4—681no—
1304C22×C4—681no—
1305C22×C4—681no—
1306C22×C4—681no—
1307C22×C4—681no—
1308C22×C4—681no—
1309C22×C4—681no—
1310C22×C4—681no—
1311C22×C4—681no—
1312C22×C4—681no—
1313C22×C4—681no—
1314C22×C4—681no—
1315C22×C4—681no—
1316C22×C4—681no—
1317C22×C4—681no—
1318C22×C4—681no—
1319C22×C4—681no—
1320C22×C4—681no—
1321C22×C4—681no—
1322C22×C4C22×Dic1714yes—
1323C22×C4C22×Dic1714yes—
1324C22×C4C22×Dic1714yes—
1325C22×C4C22×Dic1714yes—
1326C22×C4C22×Dic1714yes—
1327C22×C4C22×Dic1714yes—
1328C22×C4C23×D1711yescharacteristic
1329C22×C4C23×D1711yescharacteristic
1330C22×C4C23×D1711yescharacteristic
1331C22×C4C23×D1711yescharacteristic
1332C22×C4C23×D1711yescharacteristic
1333C22×C4C23×D1711yescharacteristic
1334C22×C4C23×D1711yescharacteristic
1335C22×C4C23×D1711yescharacteristic
1336C22×C4C23×D1711yescharacteristic
1337C4⋊C4—342no—
1338C4⋊C4—681no—
1339C4⋊C4—681no—
1340C4⋊C4—681no—
1341C4⋊C4—681no—
1342C4⋊C4—681no—
1343C4⋊C4—681no—
1344C4⋊C4—681no—
1345C4⋊C4—681no—
1346C4⋊C4—681no—
1347C4⋊C4—681no—
1348C4⋊C4—681no—
1349C4⋊C4—681no—
1350C4⋊C4—681no—
1351C4⋊C4—681no—
1352C4⋊C4—681no—
1353C4⋊C4C22×Dic1714yes—
1354C4⋊C4C22×Dic1714yes—
1355C4⋊C4C22×Dic1714yes—
1356C4⋊C4C22×Dic1714yes—
1357C22⋊C4—342no—
1358C22⋊C4—342no—
1359C22⋊C4—342no—
1360C22⋊C4—342no—
1361C22⋊C4—342no—
1362C22⋊C4—342no—
1363C22⋊C4—342no—
1364C22⋊C4—681no—
1365C22⋊C4—681no—
1366C22⋊C4—681no—
1367C22⋊C4—681no—
1368C22⋊C4—681no—
1369C22⋊C4—681no—
1370C22⋊C4—681no—
1371C22⋊C4—681no—
1372C22⋊C4—681no—
1373C22⋊C4—681no—
1374C22⋊C4—681no—
1375C22⋊C4—681no—
1376C22⋊C4—681no—
1377C22⋊C4—681no—
1378C22⋊C4—681no—
1379C22⋊C4—681no—
1380C22⋊C4—681no—
1381C22⋊C4—681no—
1382C22⋊C4—681no—
1383C22⋊C4—681no—
1384C22⋊C4—681no—
1385C22⋊C4—681no—
1386C22⋊C4—681no—
1387C22⋊C4—681no—
1388C22⋊C4—681no—
1389C22⋊C4—681no—
1390C22⋊C4—681no—
1391C22⋊C4—681no—
1392C22⋊C4—681no—
1393C22⋊C4—681no—
1394C22⋊C4—681no—
1395C22⋊C4C22×Dic1714yes—
1396C22⋊C4C22×Dic1714yes—
1397C22⋊C4C22×Dic1714yes—
1398C22⋊C4C22×Dic1714yes—
1399C22⋊C4C22×Dic1714yes—
1400C22⋊C4C22×Dic1714yes—
1401C22⋊C4C22×Dic1714yes—
1402C22⋊C4C22×Dic1714yes—
1403C22⋊C4C22×Dic1714yes—
1404C22⋊C4C22×Dic1714yes—
1405C22⋊C4C22×Dic1714yes—
1406C22⋊C4C22×Dic1714yes—
1407C42—342no—
1408C42—342no—
1409C42—681no—
1410C42—681no—
1411C42—681no—
1412C42—681no—
1413C42—681no—
1414C42—681no—
1415C42—681no—
1416C42—681no—
1417C42—681no—
1418C42—681no—
1419C42—681no—
1420C42—681no—
1421C42—681no—
1422C42—681no—
1423C42C22×Dic1714yes—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—28no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—82no—
1465C23—82no—
1466C23—82no—
1467C23—82no—
1468C23—82no—
1469C23—82no—
1470C23—82no—
1471C23—82no—
1472C23#1058769112yes—
1473C23#1058769112yes—
1474C23C23×Dic1712yes—
1475C23C23×Dic1712yes—
1476C23C23×Dic1712yes—
1477C23C23×Dic1712yes—
1478C23C23×Dic1712yes—
1479C23C23×Dic1712yes—
1480C23C24×D1711yescharacteristic
1481Q8—44no—
1482D4—28no—
1483D4—28no—
1484D4—28no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—44no—
1489D4—44no—
1490D4—44no—
1491C2×C4—28no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—172no—
1516C2×C4—341no—
1517C2×C4—341no—
1518C2×C4—341no—
1519C2×C4—341no—
1520C2×C4—341no—
1521C2×C4—341no—
1522C2×C4—341no—
1523C2×C4—341no—
1524C2×C4—341no—
1525C2×C4—341no—
1526C2×C4—341no—
1527C2×C4—341no—
1528C2×C4—341no—
1529C2×C4—341no—
1530C2×C4—341no—
1531C2×C4—341no—
1532C2×C4—341no—
1533C2×C4—341no—
1534C2×C4—341no—
1535C2×C4—341no—
1536C2×C4—341no—
1537C2×C4—341no—
1538C2×C4—341no—
1539C2×C4—341no—
1540C2×C4—341no—
1541C2×C4—341no—
1542C2×C4—341no—
1543C2×C4—341no—
1544C2×C4—341no—
1545C2×C4—341no—
1546C2×C4—341no—
1547C2×C4—341no—
1548C2×C4—341no—
1549C2×C4—341no—
1550C2×C4—341no—
1551C2×C4—341no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—341no—
1562C2×C4—341no—
1563C2×C4—684no—
1564C2×C4—684no—
1565C2×C4—1362no—
1566C2×C4—1362no—
1567C2×C4—1362no—
1568C2×C4—1362no—
1569C2×C4—1362no—
1570C2×C4—1362no—
1571C2×C4—1362no—
1572C2×C4—1362no—
1573C2×C4C23×Dic1712yes—
1574C2×C4C23×Dic1712yes—
1575C2×C4C23×Dic1712yes—
1576C2×C4C23×Dic1712yes—
1577C2×C4C23×Dic1712yes—
1578C2×C4C23×Dic1712yes—
1579C2×C4C23×Dic1712yes—
1580C2×C4C23×Dic1712yes—
1581C2×C4C23×Dic1712yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—88no—
1624C22—88no—
1625C22#1176328414yes—
1626C22C24×Dic1711yescharacteristic
1627C22H(5,𝔽2)×D1711yescharacteristic
1628C22C2×#1058769111yescharacteristic
1629C22C2×#1058769111yescharacteristic
1630C22#1176364411yescharacteristic
1631C22#1176364511yescharacteristic
1632C22#1176364511yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—342no—
1643C4—681no—
1644C4—681no—
1645C4—681no—
1646C4—681no—
1647C4—681no—
1648C4—681no—
1649C4—681no—
1650C4—681no—
1651C4—681no—
1652C4—681no—
1653C4—681no—
1654C4—681no—
1655C4—681no—
1656C4—681no—
1657C4—681no—
1658C2—24no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—42no—
1663C2—42no—
1664C2C2×#1176328411yescharacteristic
1665C2#1454198711yescharacteristic
1666C2H(5,𝔽2)×Dic1711yescharacteristic
1667C2#1454296911yescharacteristic
1668C2#1454308511yescharacteristic
1669C2#1454313111yescharacteristic
1670C2#1454332811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
Fitting, prime radicalC2×C17×#546C2
socle, cosocleC23×C17C25
hypercenterC2×#546D17
hypocenterC17#34492
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #14531950C2semidirect
2. #14531941C2semidirect
3. #14531932C2semidirect
4. #14531925C2semidirect
5. #14531896C2semidirect
6. #14531836C2semidirect
7. #14531826C2semidirect
8. #14531780C2semidirect
9. #14531768C2semidirect
10. #14531724C2semidirect
11. #14531724C2semidirect
12. #14531633C2semidirect
13. #14531633C2semidirect
14. #14531614C2semidirect
15. D4×C22⋊Dic17C2semidirect
16. #14531599C2semidirect
17. #14531578C2semidirect
18. #14531551C2semidirect
19. #14531542C2semidirect
20. #14531489C2semidirect
21. #14531456C2semidirect
22. #14531445C2semidirect
23. #14531445C2semidirect
24. #14531427C2semidirect
25. #14531382C2semidirect
26. #14531376C2semidirect
27. #14531362C2semidirect
28. #121×Dic17C2semidirect
29. #14531229C2semidirect
30. C2×#11762702C2semidirect
34. C2×D4×Dic17C22semidirect
35. C2×D4×Dic17C22semidirect
36. C2×D4×Dic17C22semidirect
37. C2×D4×Dic17C22semidirect
38. C2×#10587612C22semidirect
39. C2×#10587612C22semidirect
40. C22×C4⋊Dic17C22semidirect
45. C22×C4×Dic17C22semidirect
46. #11762716C22semidirect
47. #11762716C22semidirect
48. #11762716C22semidirect
49. #11762716C22semidirect
54. #11762712C22semidirect
55. #11762712C22semidirect
56. #11762712C22semidirect
57. #11762712C22semidirect
58. #11762708C22semidirect
59. #11762708C22semidirect
60. #11762708C22semidirect
61. #11762708C22semidirect
74. #11762702C22semidirect
75. #11762702C22semidirect
76. #11762702C22semidirect
77. #11762702C22semidirect
78. #11762702C22semidirect
79. #11762702C22semidirect
80. #11762702C22semidirect
81. #11762702C22semidirect
82. #11762702C22semidirect
83. #11762702C22semidirect
84. #11762702C22semidirect
85. #11762702C22semidirect
86. #11762702C22semidirect
87. #11762702C22semidirect
88. #11762702C22semidirect
89. #11762702C22semidirect
90. #11762702C22semidirect
91. #11762702C22semidirect
92. #11762695C22semidirect
93. #11762695C22semidirect
94. #11762695C22semidirect
95. #11762695C22semidirect
96. #11762695C22semidirect
97. #11762695C22semidirect
98. #11762695C22semidirect
99. #11762695C22semidirect
100. #11762695C22semidirect
101. #11762695C22semidirect
116. #11762689C22semidirect
117. #11762689C22semidirect
118. #11762689C22semidirect
119. #11762689C22semidirect
120. #11762689C22semidirect
121. #11762689C22semidirect
122. #11762689C22semidirect
123. #11762689C22semidirect
124. #11762684C22semidirect
125. #11762684C22semidirect
126. #11762684C22semidirect
127. #11762684C22semidirect
128. #11762684C22semidirect
129. #11762684C22semidirect
130. #11762684C22semidirect
131. #11762684C22semidirect
132. #11762677C22semidirect
135. #11762672C22semidirect
136. #11762672C22semidirect
137. #11762672C22semidirect
139. #11762669C22semidirect
140. #11762669C22semidirect
141. #11762669C22semidirect
142. #11762669C22semidirect
143. #11762669C22semidirect
144. #11762669C22semidirect
149. C4⋊C4×Dic17C22semidirect
150. C4⋊C4×Dic17C22semidirect
151. C4×C4⋊Dic17C22semidirect
152. C22⋊C4×Dic17C22semidirect
153. C22⋊C4×Dic17C22semidirect
154. C22⋊C4×Dic17C22semidirect
155. C22⋊C4×Dic17C22semidirect
156. C22⋊C4×Dic17C22semidirect
157. C22⋊C4×Dic17C22semidirect
158. C22⋊C4×Dic17C22semidirect
159. C22⋊C4×Dic17C22semidirect
160. C22⋊C4×Dic17C22semidirect
161. C22⋊C4×Dic17C22semidirect
163. C4×C22⋊Dic17C22semidirect
164. C4×C22⋊Dic17C22semidirect
165. C4×C22⋊Dic17C22semidirect
166. C4×C22⋊Dic17C22semidirect
167. #11762655C22semidirect
168. #11762655C22semidirect
169. C2×#10587502C22semidirect
170. C2×#10587502C22semidirect
171. C2×#10587502C22semidirect
174. C17×#546C4semidirect
192. C2×#41×C17C2×C4semidirect
196. C22×D4×C17C2×C4semidirect
222. C17×#124C2×C4semidirect
223. C17×#123C2×C4semidirect
224. C17×#123C2×C4semidirect
225. C17×C22⋊Q8C2×C4semidirect
226. C17×#121C2×C4semidirect
227. C17×#121C2×C4semidirect
228. C17×#121C2×C4semidirect
229. C17×#120C2×C4semidirect
230. C17×#120C2×C4semidirect
231. C4×D4×C17C2×C4semidirect
232. C4×D4×C17C2×C4semidirect
237. C2×C22⋊C4×C17C2×C4semidirect
238. C2×C22⋊C4×C17C2×C4semidirect
856. #546Dic17semidirect
1027. C2×#41C2×Dic17semidirect
1031. C22×D4C2×Dic17semidirect
1057. #124C2×Dic17semidirect
1058. #123C2×Dic17semidirect
1059. #123C2×Dic17semidirect
1060. C22⋊Q8C2×Dic17semidirect
1061. #121C2×Dic17semidirect
1062. #121C2×Dic17semidirect
1063. #121C2×Dic17semidirect
1064. #120C2×Dic17semidirect
1065. #120C2×Dic17semidirect
1072. C4×D4C2×Dic17semidirect
1073. C4×D4C2×Dic17semidirect
1139. C2×C22⋊C4C2×Dic17semidirect
1140. C2×C22⋊C4C2×Dic17semidirect
1211. C17#34492semidirect

Maximal subgroups

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

subgroupindex
#145319502
#145319412
#145319322
#145319252
#145318962
#145318362
#145318262
#145317802
#145317682
#145317242
#145316332
#145316142
D4×C22⋊Dic172
#145315992
#145315782
#145315512
#145315422
#145314892
#145314562
#145314452
#145314272
#145313822
#145313762
#145313622
#121×Dic172
#145312292
C2×#117627022
C2×C17×#5462
#3449217