Finite Group Databasebeta

← #17200489

Subgroups — #17200489

Order 4352.

2488 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763551C211yesmaximal, characteristic
2#14531957C211yesmaximal, characteristic, complemented
3#14531956C211yesmaximal, characteristic, complemented
4#14531953C211yesmaximal, characteristic, complemented
5#14531860C211yesmaximal, characteristic, complemented
6#14531859C211yesmaximal, characteristic, complemented
7#14531856C211yesmaximal, characteristic, complemented
8#14531855C211yesmaximal, characteristic, complemented
9#14531853C211yesmaximal, characteristic, complemented
10#14531852C211yesmaximal, characteristic, complemented
11#14531767C211yesmaximal, characteristic, complemented
12#14531766C211yesmaximal, characteristic, complemented
13#14531764C211yesmaximal, characteristic, complemented
14#14531762C211yesmaximal, characteristic, complemented
15#14531760C211yesmaximal, characteristic, complemented
16#14531760C211yesmaximal, characteristic, complemented
17#14531596C211yesmaximal, characteristic, complemented
18#14531595C211yesmaximal, characteristic, complemented
19#14531594C211yesmaximal, characteristic, complemented
20#14531594C211yesmaximal, characteristic, complemented
21#14531591C211yesmaximal, characteristic, complemented
22#14531447C211yesmaximal, characteristic, complemented
23#14531446C211yesmaximal, characteristic, complemented
24#14531446C211yesmaximal, characteristic, complemented
25#14531444C211yesmaximal, characteristic, complemented
26#14531440C211yesmaximal, characteristic, complemented
27#14531437C211yesmaximal, characteristic, complemented
28#14531327C211yesmaximal, characteristic, complemented
29#14531325C211yesmaximal, characteristic, complemented
30C4×#10587571C211yesmaximal, characteristic, complemented
31C17×#2337C211yesmaximal, characteristic, complemented
32#11763551C4116yescomplemented
33C2×#10587633C2211yescharacteristic
34C2×#10587633C2211yescharacteristic
35C2×#10587561C2211yescharacteristic
36C2×#10587561C2211yescharacteristic
37C2×#10587571C2211yescharacteristic
38C2×#10587571C2211yescharacteristic
39C2×#10587571C2211yescharacteristic
40C2×#10587571C2211yescharacteristic
41C2×#10587568C2211yescharacteristic
42C2×#10587568C2211yescharacteristic
43C2×#10587568C2211yescharacteristic
44C2×#10587568C2211yescharacteristic
45C2×#10587623C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×Q8×Dic17C2211yescharacteristic, complemented
48C2×C4×Dic34C2211yescharacteristic, complemented
49C2×#10587573C2211yescharacteristic, complemented
50C2×C4×D68C2211yescharacteristic
51C2×C4×D68C2211yescharacteristic
52C2×D4×Dic17C2211yescharacteristic
53C2×#10587579C2211yescharacteristic
54C2×#10587579C2211yescharacteristic
55C2×C4×C22⋊D17C2211yescharacteristic
56C2×C4×C22⋊D17C2211yescharacteristic
57C2×C4×C22⋊D17C2211yescharacteristic
58C2×#10587567C2211yescharacteristic
59C22×#63227C2211yescharacteristic, complemented
60C22×#63227C2211yescharacteristic, complemented
61C2×C22⋊C4×D17C2211yescharacteristic, complemented
62C2×C22⋊C4×D17C2211yescharacteristic, complemented
63C2×C22⋊C4×D17C2211yescharacteristic, complemented
64C2×C22⋊C4×D17C2211yescharacteristic, complemented
65#11762716C2211yescharacteristic, complemented
66#11762715C2211yescharacteristic, complemented
67#11762714C2211yescharacteristic, complemented
68#11762713C2211yescharacteristic, complemented
69#11762713C2211yescharacteristic, complemented
70#11762713C2211yescharacteristic, complemented
71#11762713C2211yescharacteristic, complemented
72#11762712C2211yescharacteristic
73#11762711C2211yescharacteristic
74#11762711C2211yescharacteristic
75#11762710C2211yescharacteristic
76#11762710C2211yescharacteristic
77#11762709C2211yescharacteristic
78#11762709C2211yescharacteristic
79#11762709C2211yescharacteristic
80#11762709C2211yescharacteristic
81#11762703C2211yescharacteristic, complemented
82#11762703C2211yescharacteristic, complemented
83#11762702C2211yescharacteristic, complemented
84#11762702C2211yescharacteristic, complemented
85#11762702C2211yescharacteristic, complemented
86#11762702C2211yescharacteristic, complemented
87#11762701C2211yescharacteristic, complemented
88#11762701C2211yescharacteristic, complemented
89#11762701C2211yescharacteristic, complemented
90#11762701C2211yescharacteristic, complemented
91#11762701C2211yescharacteristic, complemented
92#11762701C2211yescharacteristic, complemented
93#11762701C2211yescharacteristic, complemented
94#11762701C2211yescharacteristic, complemented
95#11762701C2211yescharacteristic, complemented
96#11762700C2211yescharacteristic, complemented
97#11762700C2211yescharacteristic, complemented
98#11762700C2211yescharacteristic, complemented
99#11762700C2211yescharacteristic, complemented
100#11762700C2211yescharacteristic, complemented
101#11762699C2211yescharacteristic, complemented
102#11762699C2211yescharacteristic, complemented
103#11762699C2211yescharacteristic, complemented
104#11762698C2211yescharacteristic, complemented
105#11762698C2211yescharacteristic, complemented
106#11762698C2211yescharacteristic, complemented
107#11762698C2211yescharacteristic, complemented
108#11762698C2211yescharacteristic, complemented
109#11762698C2211yescharacteristic, complemented
110#11762698C2211yescharacteristic, complemented
111#11762697C2211yescharacteristic, complemented
112#11762697C2211yescharacteristic, complemented
113#11762688C2211yescharacteristic
114#11762687C2211yescharacteristic
115#11762687C2211yescharacteristic
116#11762687C2211yescharacteristic
117#11762687C2211yescharacteristic
118#11762687C2211yescharacteristic
119#11762687C2211yescharacteristic
120#11762687C2211yescharacteristic
121#11762687C2211yescharacteristic
122#11762686C2211yescharacteristic
123#11762686C2211yescharacteristic
124#11762686C2211yescharacteristic
125#11762685C2211yescharacteristic
126#11762685C2211yescharacteristic
127#11762685C2211yescharacteristic
128#11762685C2211yescharacteristic
129#11762684C2211yescharacteristic, complemented
130#11762684C2211yescharacteristic, complemented
131#11762683C2211yescharacteristic, complemented
132#11762683C2211yescharacteristic, complemented
133#11762683C2211yescharacteristic, complemented
134#11762683C2211yescharacteristic, complemented
135#11762683C2211yescharacteristic, complemented
136#11762683C2211yescharacteristic, complemented
137#11762683C2211yescharacteristic, complemented
138#11762682C2211yescharacteristic, complemented
139#11762681C2211yescharacteristic, complemented
140#11762680C2211yescharacteristic, complemented
141#11762680C2211yescharacteristic, complemented
142#11762680C2211yescharacteristic, complemented
143#11762680C2211yescharacteristic, complemented
144#11762680C2211yescharacteristic, complemented
145#11762676C2211yescharacteristic, complemented
146#11762674C2211yescharacteristic, complemented
147#11762673C2211yescharacteristic, complemented
148#11762673C2211yescharacteristic, complemented
149#11762664C2211yescharacteristic, complemented
150#11762664C2211yescharacteristic, complemented
151C4⋊C4×Dic17C2211yescharacteristic, complemented
152C4×#63225C2211yescharacteristic, complemented
153C4×C4⋊Dic17C2211yescharacteristic, complemented
154C4×C4⋊Dic17C2211yescharacteristic, complemented
155#11762660C2211yescharacteristic, complemented
156C22⋊C4×Dic17C2211yescharacteristic, complemented
157C22⋊C4×Dic17C2211yescharacteristic, complemented
158C22⋊C4×Dic17C2211yescharacteristic, complemented
159C4×#63227C2211yescharacteristic, complemented
160C4×#63227C2211yescharacteristic, complemented
161C4×#63227C2211yescharacteristic, complemented
162C4×C22⋊Dic17C2211yescharacteristic, complemented
163#11762656C2211yescharacteristic, complemented
164#11762656C2211yescharacteristic, complemented
165#11762656C2211yescharacteristic, complemented
166#11762656C2211yescharacteristic, complemented
167#11762656C2211yescharacteristic, complemented
168#11762656C2211yescharacteristic, complemented
169#11762656C2211yescharacteristic, complemented
170#11762656C2211yescharacteristic, complemented
171#11762656C2211yescharacteristic, complemented
172C42×Dic17C2211yescharacteristic, complemented
173C2×C17×#124C2211yescharacteristic
174C17×#391C2211yescharacteristic, complemented
175C17×#391C2211yescharacteristic, complemented
176C17×#388C2211yescharacteristic, complemented
177C17×#388C2211yescharacteristic, complemented
178C17×#388C2211yescharacteristic, complemented
179C17×#388C2211yescharacteristic, complemented
180C17×#386C2211yescharacteristic
181C17×#386C2211yescharacteristic
182C17×#385C2211yescharacteristic, complemented
183C17×#385C2211yescharacteristic, complemented
184C17×#383C2211yescharacteristic, complemented
185C4×C4⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic, complemented
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C24×D17C2311yescharacteristic
189C24×D17C2311yescharacteristic
190C22×Q8×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C23×Dic17C2311yescharacteristic
199C23×Dic17C2311yescharacteristic
200C22×D68C2311yescharacteristic
201C22×D68C2311yescharacteristic
202C22×D68C2311yescharacteristic
203C22×D68C2311yescharacteristic
204C22×C4×D17C2311yescharacteristic
205C22×C4×D17C2311yescharacteristic
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×Dic34C2311yescharacteristic
213C22×Dic34C2311yescharacteristic
214C17×#124C2×C418yescomplemented
215C2×C4⋊C4×C17C2311yescharacteristic
216C2×C4⋊C4×C17C2311yescharacteristic
217C2×C4⋊C4×C17C2311yescharacteristic
218C2×C4⋊C4×C17C2311yescharacteristic
219C2×C22⋊C4×C17C2311yescharacteristic
220C2×C22⋊C4×C17C2311yescharacteristic
221C2×C22⋊C4×C17C2311yescharacteristic
222C2×C22⋊C4×C17C2311yescharacteristic
223C2×C22⋊C4×C17C2311yescharacteristic
224C2×C22⋊C4×C17C2311yescharacteristic
225C2×C22⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2311yescharacteristic
227C2×C22⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C42×C17C2311yescharacteristic
230C2×C42×C17C2311yescharacteristic
231C2×C42×C17C2311yescharacteristic
232C2×C42×C17C2311yescharacteristic
233C2×C42×C17C2311yescharacteristic
234C2×C22⋊Dic17C2311yescharacteristic
235C2×C22⋊Dic17C2311yescharacteristic
236C2×C22⋊Dic17C2311yescharacteristic
237C2×C22⋊Dic17C2311yescharacteristic
238C2×C22⋊Dic17C2311yescharacteristic
239C2×C22⋊Dic17C2311yescharacteristic
240C2×C22⋊Dic17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242#10587633C2×C418yescomplemented
243#10587633C2×C418yescomplemented
244Q8×Dic17—42no—
245#10587623C2×C418yescomplemented
246#10587623C2×C418yescomplemented
247D4×Dic17—42no—
248C4×C22⋊D17—42no—
249C4×C22⋊D17—42no—
250C4×C22⋊D17—42no—
251C2×#63227—42no—
252C2×#63227—42no—
253C2×#63227C2311yescharacteristic
254C2×#63227C2311yescharacteristic
255C2×#63227C2311yescharacteristic
256C2×#63227C2311yescharacteristic
257C2×#63227C2311yescharacteristic
258C2×#63227C2311yescharacteristic
259C2×#63227C2311yescharacteristic
260C2×#63227C2311yescharacteristic
261C2×#63227C2311yescharacteristic
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×#63225C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
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
319#10587579—42no—
320#10587579—42no—
321#10587573—42no—
322#10587571C2×C418yescomplemented
323#10587571C2×C418yescomplemented
324#10587571C2×C418yescomplemented
325#10587571C2×C418yescomplemented
326#10587568C2×C418yescomplemented
327#10587568C2×C418yescomplemented
328#10587568C2×C418yescomplemented
329#10587568C2×C418yescomplemented
330#10587567—42no—
331C22⋊C4×D17—42no—
332C22⋊C4×D17—42no—
333C22⋊C4×D17—42no—
334C22⋊C4×D17—42no—
335#10587561C2×C418yescomplemented
336#10587561C2×C418yescomplemented
337C4×D68—42no—
338C4×D68—42no—
339C4×Dic34—42no—
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
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×C17C2411yescharacteristic
377C24×C17C2411yescharacteristic
378C23×D17—41no—
379C23×D17—41no—
380C23×D17—41no—
381C23×D17—41no—
382C23×D17—41no—
383C23×D17—41no—
384C23×D17—41no—
385C23×D17—41no—
386C23×D17—41no—
387C23×D17—41no—
388C23×D17—41no—
389C23×D17—41no—
390C23×D17C22×C414yes—
391C23×D17C22×C414yes—
392C23×D17C2411yescharacteristic
393C23×D17C2411yescharacteristic
394C23×D17C2411yescharacteristic
395C23×D17C2411yescharacteristic
396C2×Q8×C17—41no—
397C2×Q8×C17—41no—
398C2×Q8×C17C22×C414yes—
399C2×D4×C17—41no—
400C2×D4×C17—41no—
401C2×D4×C17C22×C414yes—
402C22×C4×C17—22no—
403C22×C4×C17—41no—
404C22×C4×C17—41no—
405C22×C4×C17—41no—
406C22×C4×C17—41no—
407C22×C4×C17—41no—
408C22×C4×C17C2411yescharacteristic
409C22×C4×C17C2411yescharacteristic
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
419C22×C4×C17C2411yescharacteristic
420C22×C4×C17C2411yescharacteristic
421C2×C22⋊D17—41no—
422C2×C22⋊D17—41no—
423C2×C22⋊D17—41no—
424C2×C22⋊D17—41no—
425C2×C22⋊D17—41no—
426C2×C22⋊D17—41no—
427C2×C22⋊D17—41no—
428C2×C22⋊D17—41no—
429C2×C22⋊D17C22×C414yes—
430C2×C22⋊D17C22×C414yes—
431C2×C22⋊D17C22×C414yes—
432C2×C22⋊D17C22×C414yes—
433C22×Dic17—22no—
434C22×Dic17—41no—
435C22×Dic17—41no—
436C22×Dic17—41no—
437C22×Dic17—41no—
438C22×Dic17—41no—
439C22×Dic17C2411yescharacteristic
440C22×Dic17C2411yescharacteristic
441C22×Dic17C2411yescharacteristic
442C22×Dic17C2411yescharacteristic
443C22×Dic17C2411yescharacteristic
444C22×Dic17C2411yescharacteristic
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451C2×D68—41no—
452C2×D68—41no—
453C2×D68—41no—
454C2×D68—41no—
455C2×D68—41no—
456C2×D68—41no—
457C2×D68—41no—
458C2×D68—41no—
459C2×D68C22×C414yes—
460C2×D68C22×C414yes—
461C2×D68C22×C414yes—
462C2×D68C22×C414yes—
463C2×C4×D17—22no—
464C2×C4×D17—22no—
465C2×C4×D17—22no—
466C2×C4×D17—22no—
467C2×C4×D17—41no—
468C2×C4×D17—41no—
469C2×C4×D17—41no—
470C2×C4×D17—41no—
471C2×C4×D17—41no—
472C2×C4×D17—41no—
473C2×C4×D17—41no—
474C2×C4×D17—41no—
475C2×C4×D17—41no—
476C2×C4×D17—41no—
477C2×C4×D17—41no—
478C2×C4×D17—41no—
479C2×C4×D17—41no—
480C2×C4×D17—41no—
481C2×C4×D17—41no—
482C2×C4×D17—41no—
483C2×C4×D17—41no—
484C2×C4×D17—41no—
485C2×C4×D17—41no—
486C2×C4×D17—41no—
487C2×Dic34—41no—
488C2×Dic34—41no—
489C2×Dic34—41no—
490C2×Dic34—41no—
491C2×Dic34C22×C414yes—
492C2×Dic34C22×C414yes—
493C4⋊C4×C17—22no—
494C4⋊C4×C17—41no—
495C4⋊C4×C17—41no—
496C4⋊C4×C17—41no—
497C22⋊C4×C17—22no—
498C22⋊C4×C17—41no—
499C22⋊C4×C17—41no—
500C22⋊C4×C17—41no—
501C22⋊C4×C17—41no—
502C22⋊C4×C17—41no—
503C22⋊C4×C17C22×C414yes—
504C22⋊C4×C17C22×C414yes—
505C22⋊C4×C17C22×C414yes—
506C22⋊C4×C17C22×C414yes—
507C42×C17—41no—
508C42×C17—41no—
509C42×C17—41no—
510C42×C17—41no—
511C42×C17C22×C414yes—
512C22⋊Dic17—22no—
513C22⋊Dic17—22no—
514C22⋊Dic17—22no—
515C22⋊Dic17—41no—
516C22⋊Dic17—41no—
517C22⋊Dic17—41no—
518C22⋊Dic17C22×C414yes—
519C22⋊Dic17C22×C414yes—
520#63227—22no—
521#63227—22no—
522#63227—22no—
523#63227—22no—
524#63227—22no—
525#63227—22no—
526#63227—22no—
527#63227—22no—
528#63227—41no—
529#63227—41no—
530#63227—41no—
531#63227—41no—
532#63227—41no—
533#63227—41no—
534#63227—41no—
535#63227—41no—
536#63227—41no—
537#63227—41no—
538#63227—41no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542#63227—41no—
543#63227—41no—
544#63227C22×C414yes—
545#63227C22×C414yes—
546#63227C22×C414yes—
547#63227C22×C414yes—
548#63227C22×C414yes—
549#63227C22×C414yes—
550#63227C22×C414yes—
551#63227C22×C414yes—
552#63227C22×C414yes—
553#63227C22×C414yes—
554#63227C22×C414yes—
555#63227C22×C414yes—
556C4⋊Dic17—22no—
557C4⋊Dic17—22no—
558C4⋊Dic17—22no—
559C4⋊Dic17—41no—
560C4⋊Dic17—41no—
561C4⋊Dic17—41no—
562#63225—22no—
563#63225—22no—
564#63225—41no—
565#63225—41no—
566#63225—41no—
567#63225—41no—
568#63225—41no—
569#63225—41no—
570C4×Dic17—22no—
571C4×Dic17—22no—
572C4×Dic17—22no—
573C4×Dic17—41no—
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×Dic17C22×C414yes—
585C4×Dic17C22×C414yes—
586#34529—171nomaximal, Sylow
587C23×C17—21no—
588C23×C17—21no—
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×C17C23×C412yes—
600C23×C17C23×C412yes—
601C23×C17C2511yescharacteristic
602C22×D17—21no—
603C22×D17—21no—
604C22×D17—21no—
605C22×D17—21no—
606C22×D17—21no—
607C22×D17—21no—
608C22×D17—21no—
609C22×D17—21no—
610C22×D17—21no—
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—21no—
615C22×D17—21no—
616C22×D17—21no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—21no—
625C22×D17—21no—
626C22×D17—44no—
627C22×D17—44no—
628C22×D17—44no—
629C22×D17—44no—
630C22×D17—44no—
631C22×D17—44no—
632C22×D17—82no—
633C22×D17—82no—
634C22×D17—82no—
635C22×D17—82no—
636C22×D17—82no—
637C22×D17—82no—
638C22×D17—82no—
639C22×D17—82no—
640C22×D17C23×C412yes—
641C22×D17C23×C412yes—
642C22×D17C23×C412yes—
643C22×D17C23×C412yes—
644Q8×C17—44no—
645D4×C17—44no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
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—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—82no—
680C2×C4×C17—82no—
681C2×C4×C17C23×C412yes—
682C2×C4×C17C23×C412yes—
683C2×C4×C17C23×C412yes—
684C2×C4×C17C23×C412yes—
685C2×C4×C17C23×C412yes—
686C2×C4×C17H(5,𝔽2)12yes—
687C22⋊D17—44no—
688C22⋊D17—44no—
689C22⋊D17—44no—
690C22⋊D17—44no—
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—82no—
722C2×Dic17—82no—
723C2×Dic17C23×C412yes—
724C2×Dic17C23×C412yes—
725C2×Dic17C23×C412yes—
726C2×Dic17C23×C412yes—
727C2×Dic17H(5,𝔽2)12yes—
728C2×Dic17H(5,𝔽2)12yes—
729D68—44no—
730D68—44no—
731D68—44no—
732D68—44no—
733C4×D17—82no—
734C4×D17—82no—
735C4×D17—82no—
736C4×D17—82no—
737C4×D17—82no—
738C4×D17—82no—
739C4×D17—82no—
740C4×D17—82no—
741Dic34—44no—
742Dic34—44no—
743C2×H(3,𝔽4)—171no—
744#2379—171no—
745#2379—171no—
746#2379—171no—
747#2367—171no—
748#2367—171no—
749#2367—171no—
750#2367—171no—
751#2367—171no—
752#2367—171no—
753#2358—171no—
754#2358—171no—
755#2358—171no—
756#2358—171no—
757#2358—171no—
758#2358—171no—
759#2337—171no—
760#2337—171no—
761#2337—171no—
762#2337—171no—
763#2337—171no—
764#2337D1711yescharacteristic, complemented
765#2321—171no—
766#2321—171no—
767#2321—171no—
768#2321—171no—
769#2321—171no—
770#2321—171no—
771C4×#124—171no—
772C4×#124—171no—
773C4×#124—171no—
774C22×C17—22no—
775C22×C17—22no—
776C22×C17—22no—
777C22×C17—22no—
778C22×C17—22no—
779C22×C17—22no—
780C22×C17—41no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17—41no—
786C22×C17—41no—
787C22×C17—41no—
788C22×C17C24×C411yescharacteristic
789C22×C17C2×H(5,𝔽2)11yescharacteristic
790C22×C17C2×H(5,𝔽2)11yescharacteristic
791C22×C17C2×H(5,𝔽2)11yescharacteristic
792C22×C17#58511yescharacteristic
793C22×C17#58511yescharacteristic
794C22×C17#58511yescharacteristic
795C2×D17—22no—
796C2×D17—22no—
797C2×D17—22no—
798C2×D17—22no—
799C2×D17—22no—
800C2×D17—22no—
801C2×D17—22no—
802C2×D17—22no—
803C2×D17—22no—
804C2×D17—22no—
805C2×D17—22no—
806C2×D17—22no—
807C2×D17—41no—
808C2×D17—41no—
809C2×D17—41no—
810C2×D17—41no—
811C2×D17—41no—
812C2×D17—41no—
813C2×D17—41no—
814C2×D17—41no—
815C2×D17—41no—
816C2×D17—41no—
817C2×D17—41no—
818C2×D17—41no—
819C2×D17—41no—
820C2×D17—41no—
821C2×D17—41no—
822C2×D17—41no—
823C2×D17—88no—
824C2×D17—88no—
825C4×C17—22no—
826C4×C17—22no—
827C4×C17—22no—
828C4×C17—22no—
829C4×C17—22no—
830C4×C17—22no—
831C4×C17—41no—
832C4×C17—41no—
833C4×C17—41no—
834C4×C17—41no—
835C4×C17—41no—
836C4×C17—41no—
837C4×C17—41no—
838Dic17—22no—
839Dic17—22no—
840Dic17—22no—
841Dic17—22no—
842Dic17—22no—
843Dic17—22no—
844Dic17—41no—
845Dic17—41no—
846Dic17—41no—
847Dic17—41no—
848Dic17—41no—
849Dic17—41no—
850H(3,𝔽4)—1716no—
851C2×#124—171no—
852C2×#124—171no—
853C2×#124—171no—
854C2×#124—171no—
855C2×#124—171no—
856C2×#124—171no—
857C2×#124—171no—
858C2×#124—171no—
859C2×#124C2×D1711yescharacteristic
860C2×#120—171no—
861C2×#120—171no—
862C2×#120—171no—
863C2×#120—171no—
864C2×#120—171no—
865C2×#120—171no—
866C2×C4×Q8—171no—
867C2×C4×Q8—171no—
868C2×C4×Q8—171no—
869C2×C4×D4—171no—
870C2×C4×D4—171no—
871C2×C4×D4—171no—
872C2×C4×D4—171no—
873C2×C4×D4—171no—
874C2×C4×D4—171no—
875C2×C4×D4—171no—
876C2×C4×D4—171no—
877C2×C4×D4—171no—
878C22×C22⋊C4—171no—
879C22×C22⋊C4—171no—
880C22×C22⋊C4—171no—
881C22×C22⋊C4—171no—
882C22×C22⋊C4—171no—
883C22×C22⋊C4—171no—
884#391—171no—
885#391—171no—
886#391—171no—
887#391—171no—
888#391—171no—
889#391—171no—
890#391—171no—
891#391C2×D1711yescharacteristic, complemented
892#391C2×D1711yescharacteristic, complemented
893#390—171no—
894#390—171no—
895#390—171no—
896#390—171no—
897#390—171no—
898#390—171no—
899#390—171no—
900#390—171no—
901#390—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#388—171no—
931#388—171no—
932#388—171no—
933#388—171no—
934#388C2×D1711yescharacteristic, complemented
935#388C2×D1711yescharacteristic, complemented
936#388C2×D1711yescharacteristic, complemented
937#388C2×D1711yescharacteristic, complemented
938#386—171no—
939#386—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#386C2×D1711yescharacteristic
955#386C2×D1711yescharacteristic
956#385—171no—
957#385—171no—
958#385—171no—
959#385—171no—
960#385—171no—
961#385—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#385—171no—
971#385—171no—
972#385C2×D1711yescharacteristic, complemented
973#385C2×D1711yescharacteristic, complemented
974#383—171no—
975#383C2×D1711yescharacteristic, complemented
976#382—171no—
977#382—171no—
978#382—171no—
979#379—171no—
980#379—171no—
981C4×C4⋊C4—171no—
982C4×C4⋊C4—171no—
983C4×C4⋊C4—171no—
984C4×C4⋊C4—171no—
985C4×C4⋊C4—171no—
986C4×C4⋊C4C2×D1711yescharacteristic, complemented
987C4×C22⋊C4—171no—
988C4×C22⋊C4—171no—
989C4×C22⋊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⋊C4C2×D1711yescharacteristic, complemented
1004C4×C22⋊C4C2×D1711yescharacteristic, complemented
1005C43—171no—
1006C2×C17—42no—
1007C2×C17—42no—
1008C2×C17C4×H(5,𝔽2)11yescharacteristic
1009C2×C17C4×H(5,𝔽2)11yescharacteristic
1010C2×C17C4×H(5,𝔽2)11yescharacteristic
1011C2×C17#355811yescharacteristic
1012C2×C17#355811yescharacteristic
1013C2×C17#355811yescharacteristic
1014C2×C17#356811yescharacteristic
1015D17—42no—
1016D17—42no—
1017D17—42no—
1018D17—42no—
1019C25—171no—
1020C25—171no—
1021C22×Q8—171no—
1022C22×Q8—171no—
1023C22×Q8C22×D1711yescharacteristic
1024C22×D4—171no—
1025C22×D4—171no—
1026C22×D4—171no—
1027C22×D4—171no—
1028C22×D4—171no—
1029C22×D4—171no—
1030C22×D4—171no—
1031C22×D4—171no—
1032C22×D4C22×D1711yescharacteristic
1033C23×C4—171no—
1034C23×C4—171no—
1035C23×C4—171no—
1036C23×C4—171no—
1037C23×C4—171no—
1038C23×C4—171no—
1039C23×C4—171no—
1040C23×C4—171no—
1041C23×C4—171no—
1042C23×C4—171no—
1043C23×C4C22×D1711yescharacteristic
1044C23×C4C22×D1711yescharacteristic
1045#124—178no—
1046#124—178no—
1047#124—178no—
1048#124—178no—
1049#124—178no—
1050#124—178no—
1051#124—178no—
1052#124—178no—
1053#124C4×D1718yescomplemented
1054#120—178no—
1055#120—178no—
1056#120—178no—
1057#120—178no—
1058#120—178no—
1059#120—178no—
1060C4×Q8—682no—
1061C4×Q8—682no—
1062C4×Q8—682no—
1063C4×D4—682no—
1064C4×D4—682no—
1065C4×D4—682no—
1066C4×D4—682no—
1067C4×D4—682no—
1068C4×D4—682no—
1069C4×D4—682no—
1070C4×D4—682no—
1071C4×D4—682no—
1072C2×C4⋊C4—171no—
1073C2×C4⋊C4—171no—
1074C2×C4⋊C4—171no—
1075C2×C4⋊C4—171no—
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⋊C4C22×D1711yescharacteristic
1087C2×C4⋊C4C22×D1711yescharacteristic
1088C2×C4⋊C4C22×D1711yescharacteristic
1089C2×C4⋊C4C22×D1711yescharacteristic
1090C2×C22⋊C4—171no—
1091C2×C22⋊C4—171no—
1092C2×C22⋊C4—171no—
1093C2×C22⋊C4—171no—
1094C2×C22⋊C4—171no—
1095C2×C22⋊C4—171no—
1096C2×C22⋊C4—171no—
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—682no—
1135C2×C22⋊C4—682no—
1136C2×C22⋊C4—682no—
1137C2×C22⋊C4—682no—
1138C2×C22⋊C4—682no—
1139C2×C22⋊C4—682no—
1140C2×C22⋊C4C22×D1711yescharacteristic
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×C42—171no—
1151C2×C42—171no—
1152C2×C42—171no—
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×C42C22×D1711yescharacteristic
1167C2×C42C22×D1711yescharacteristic
1168C2×C42C22×D1711yescharacteristic
1169C2×C42C22×D1711yescharacteristic
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#95C22×D1711yescharacteristic
1196#95C22×D1711yescharacteristic
1197#95C22×D1711yescharacteristic
1198#95C22×D1711yescharacteristic
1199#95C22×D1711yescharacteristic
1200#95C22×D1711yescharacteristic
1201#95C22×D1711yescharacteristic
1202#95C22×D1711yescharacteristic
1203#95C22×D1711yescharacteristic
1204#95C22×D1711yescharacteristic
1205#95C22×D1711yescharacteristic
1206#95C22×D1711yescharacteristic
1207C17#3452911yescharacteristic, complemented, Sylow
1208C24—171no—
1209C24—171no—
1210C24—171no—
1211C24—171no—
1212C24—174no—
1213C24—174no—
1214C24—681no—
1215C24—681no—
1216C24—681no—
1217C24—681no—
1218C24—681no—
1219C24—681no—
1220C24—681no—
1221C24—681no—
1222C24—681no—
1223C24—681no—
1224C24—681no—
1225C24—681no—
1226C24C23×D1711yescharacteristic
1227C24C23×D1711yescharacteristic
1228C2×Q8—41no—
1229C2×Q8—41no—
1230C2×Q8—174no—
1231C2×Q8—174no—
1232C2×Q8—681no—
1233C2×Q8—681no—
1234C2×Q8—681no—
1235C2×Q8—681no—
1236C2×Q8C2×C4×D1714yes—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—174no—
1240C2×D4—174no—
1241C2×D4—174no—
1242C2×D4—174no—
1243C2×D4—174no—
1244C2×D4—174no—
1245C2×D4—174no—
1246C2×D4—174no—
1247C2×D4—681no—
1248C2×D4—681no—
1249C2×D4—681no—
1250C2×D4—681no—
1251C2×D4—681no—
1252C2×D4—681no—
1253C2×D4—681no—
1254C2×D4—681no—
1255C2×D4—681no—
1256C2×D4—681no—
1257C2×D4—681no—
1258C2×D4—681no—
1259C2×D4—681no—
1260C2×D4—681no—
1261C2×D4—681no—
1262C2×D4—681no—
1263C2×D4C2×C4×D1714yes—
1264C22×C4—22no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—171no—
1271C22×C4—171no—
1272C22×C4—171no—
1273C22×C4—171no—
1274C22×C4—171no—
1275C22×C4—171no—
1276C22×C4—171no—
1277C22×C4—171no—
1278C22×C4—171no—
1279C22×C4—171no—
1280C22×C4—171no—
1281C22×C4—171no—
1282C22×C4—342no—
1283C22×C4—342no—
1284C22×C4—342no—
1285C22×C4—342no—
1286C22×C4—342no—
1287C22×C4—681no—
1288C22×C4—681no—
1289C22×C4—681no—
1290C22×C4—681no—
1291C22×C4—681no—
1292C22×C4—681no—
1293C22×C4—681no—
1294C22×C4—681no—
1295C22×C4—681no—
1296C22×C4—681no—
1297C22×C4—681no—
1298C22×C4—681no—
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×C4C23×D1711yescharacteristic
1313C22×C4C23×D1711yescharacteristic
1314C22×C4C23×D1711yescharacteristic
1315C22×C4C23×D1711yescharacteristic
1316C22×C4C23×D1711yescharacteristic
1317C22×C4C23×D1711yescharacteristic
1318C22×C4C23×D1711yescharacteristic
1319C22×C4C23×D1711yescharacteristic
1320C22×C4C23×D1711yescharacteristic
1321C22×C4C23×D1711yescharacteristic
1322C22×C4C23×D1711yescharacteristic
1323C22×C4C23×D1711yescharacteristic
1324C22×C4C23×D1711yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—342no—
1330C4⋊C4—342no—
1331C4⋊C4—342no—
1332C4⋊C4—342no—
1333C4⋊C4—342no—
1334C4⋊C4—681no—
1335C4⋊C4—681no—
1336C4⋊C4—681no—
1337C4⋊C4—681no—
1338C4⋊C4—681no—
1339C4⋊C4—681no—
1340C4⋊C4—681no—
1341C4⋊C4—681no—
1342C4⋊C4—681no—
1343C22⋊C4—22no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—174no—
1350C22⋊C4—174no—
1351C22⋊C4—174no—
1352C22⋊C4—174no—
1353C22⋊C4—174no—
1354C22⋊C4—174no—
1355C22⋊C4—174no—
1356C22⋊C4—174no—
1357C22⋊C4—174no—
1358C22⋊C4—174no—
1359C22⋊C4—174no—
1360C22⋊C4—174no—
1361C22⋊C4—174no—
1362C22⋊C4—174no—
1363C22⋊C4—342no—
1364C22⋊C4—342no—
1365C22⋊C4—342no—
1366C22⋊C4—342no—
1367C22⋊C4—342no—
1368C22⋊C4—342no—
1369C22⋊C4—342no—
1370C22⋊C4—342no—
1371C22⋊C4—342no—
1372C22⋊C4—342no—
1373C22⋊C4—342no—
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⋊C4C2×C4×D1714yes—
1394C22⋊C4C2×C4×D1714yes—
1395C22⋊C4C2×C4×D1714yes—
1396C22⋊C4C2×C4×D1714yes—
1397C42—41no—
1398C42—41no—
1399C42—41no—
1400C42—41no—
1401C42—174no—
1402C42—174no—
1403C42—342no—
1404C42—342no—
1405C42—342no—
1406C42—681no—
1407C42—681no—
1408C42—681no—
1409C42—681no—
1410C42—681no—
1411C42—681no—
1412C42—681no—
1413C42—681no—
1414C42—681no—
1415C42—681no—
1416C42—681no—
1417C42C2×C4×D1714yes—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—172no—
1431C23—172no—
1432C23—172no—
1433C23—172no—
1434C23—341no—
1435C23—341no—
1436C23—341no—
1437C23—341no—
1438C23—341no—
1439C23—341no—
1440C23—341no—
1441C23—341no—
1442C23—341no—
1443C23—341no—
1444C23—341no—
1445C23—341no—
1446C23—341no—
1447C23—341no—
1448C23—341no—
1449C23—341no—
1450C23—341no—
1451C23—341no—
1452C23—341no—
1453C23—341no—
1454C23—341no—
1455C23—341no—
1456C23—341no—
1457C23—341no—
1458C23—684no—
1459C23—684no—
1460C23—684no—
1461C23—684no—
1462C23—684no—
1463C23—684no—
1464C23—1362no—
1465C23—1362no—
1466C23—1362no—
1467C23—1362no—
1468C23—1362no—
1469C23—1362no—
1470C23—1362no—
1471C23—1362no—
1472C23C22×C4×D1712yes—
1473C23C22×C4×D1712yes—
1474C23C24×D1711yescharacteristic
1475Q8—44no—
1476Q8—684no—
1477Q8—684no—
1478D4—44no—
1479D4—684no—
1480D4—684no—
1481D4—684no—
1482D4—684no—
1483D4—684no—
1484D4—684no—
1485D4—684no—
1486D4—684no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
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—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—82no—
1521C2×C4—82no—
1522C2×C4—172no—
1523C2×C4—172no—
1524C2×C4—172no—
1525C2×C4—172no—
1526C2×C4—172no—
1527C2×C4—172no—
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—1362no—
1559C2×C4—1362no—
1560C2×C4—1362no—
1561C2×C4—1362no—
1562C2×C4—1362no—
1563C2×C4—1362no—
1564C2×C4—1362no—
1565C2×C4—1362no—
1566C2×C4—1362no—
1567C2×C4—1362no—
1568C2×C4C22×C4×D1712yes—
1569C2×C4C22×C4×D1712yes—
1570C2×C4C22×C4×D1712yes—
1571C2×C4C22×C4×D1712yes—
1572C2×C4C22×C4×D1712yes—
1573C2×C4#1058769612yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—342no—
1589C22—342no—
1590C22—342no—
1591C22—342no—
1592C22—342no—
1593C22—342no—
1594C22—342no—
1595C22—342no—
1596C22—342no—
1597C22—342no—
1598C22—342no—
1599C22—342no—
1600C22—681no—
1601C22—681no—
1602C22—681no—
1603C22—681no—
1604C22—681no—
1605C22—681no—
1606C22—681no—
1607C22—681no—
1608C22—681no—
1609C22—681no—
1610C22—681no—
1611C22—681no—
1612C22—681no—
1613C22—681no—
1614C22—681no—
1615C22—681no—
1616C22—1368no—
1617C22—1368no—
1618C22C23×C4×D1711yescharacteristic
1619C22H(5,𝔽2)×D1711yescharacteristic
1620C22H(5,𝔽2)×D1711yescharacteristic
1621C22C2×#1058769611yescharacteristic
1622C22#1176364411yescharacteristic
1623C22#1176364511yescharacteristic
1624C22#1176364611yescharacteristic
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—342no—
1639C4—342no—
1640C4—342no—
1641C4—342no—
1642C4—342no—
1643C4—342no—
1644C4—681no—
1645C4—681no—
1646C4—681no—
1647C4—681no—
1648C4—681no—
1649C4—681no—
1650C2—42no—
1651C2—42no—
1652C2—682no—
1653C2—682no—
1654C2—682no—
1655C2—682no—
1656C2#1454198811yescharacteristic
1657C2#1454199011yescharacteristic
1658C2C4×#1058769611yescharacteristic
1659C2#1454329511yescharacteristic
1660C2#1454329911yescharacteristic
1661C2#1454330511yescharacteristic
1662C2#1454347611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2337C2
socle, cosocleC23×C17C25
prime radicalC2×#11763551C2
hypercenter#2337D17
hypocenterC17#34529
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2337

Complements

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

NH ≅ G/Ntype
2. #14531957C2semidirect
3. #14531956C2semidirect
4. #14531953C2semidirect
5. #14531860C2semidirect
6. #14531859C2semidirect
7. #14531856C2semidirect
8. #14531855C2semidirect
9. #14531853C2semidirect
10. #14531852C2semidirect
11. #14531767C2semidirect
12. #14531766C2semidirect
13. #14531764C2semidirect
14. #14531762C2semidirect
15. #14531760C2semidirect
16. #14531760C2semidirect
17. #14531596C2semidirect
18. #14531595C2semidirect
19. #14531594C2semidirect
20. #14531594C2semidirect
21. #14531591C2semidirect
22. #14531447C2semidirect
23. #14531446C2semidirect
24. #14531446C2semidirect
25. #14531444C2semidirect
26. #14531440C2semidirect
27. #14531437C2semidirect
28. #14531327C2semidirect
29. #14531325C2semidirect
30. C4×#10587571C2semidirect
31. C17×#2337C2semidirect
32. #11763551C4semidirect
47. C2×Q8×Dic17C22semidirect
48. C2×C4×Dic34C22semidirect
49. C2×#10587573C22semidirect
59. C22×#63227C22semidirect
60. C22×#63227C22semidirect
61. C2×C22⋊C4×D17C22semidirect
62. C2×C22⋊C4×D17C22semidirect
63. C2×C22⋊C4×D17C22semidirect
64. C2×C22⋊C4×D17C22semidirect
65. #11762716C22semidirect
66. #11762715C22semidirect
67. #11762714C22semidirect
68. #11762713C22semidirect
69. #11762713C22semidirect
70. #11762713C22semidirect
71. #11762713C22semidirect
81. #11762703C22semidirect
82. #11762703C22semidirect
83. #11762702C22semidirect
84. #11762702C22semidirect
85. #11762702C22semidirect
86. #11762702C22semidirect
87. #11762701C22semidirect
88. #11762701C22semidirect
89. #11762701C22semidirect
90. #11762701C22semidirect
91. #11762701C22semidirect
92. #11762701C22semidirect
93. #11762701C22semidirect
94. #11762701C22semidirect
95. #11762701C22semidirect
96. #11762700C22semidirect
97. #11762700C22semidirect
98. #11762700C22semidirect
99. #11762700C22semidirect
100. #11762700C22semidirect
101. #11762699C22semidirect
102. #11762699C22semidirect
103. #11762699C22semidirect
104. #11762698C22semidirect
105. #11762698C22semidirect
106. #11762698C22semidirect
107. #11762698C22semidirect
108. #11762698C22semidirect
109. #11762698C22semidirect
110. #11762698C22semidirect
111. #11762697C22semidirect
112. #11762697C22semidirect
129. #11762684C22semidirect
130. #11762684C22semidirect
131. #11762683C22semidirect
132. #11762683C22semidirect
133. #11762683C22semidirect
134. #11762683C22semidirect
135. #11762683C22semidirect
136. #11762683C22semidirect
137. #11762683C22semidirect
138. #11762682C22semidirect
139. #11762681C22semidirect
140. #11762680C22semidirect
141. #11762680C22semidirect
142. #11762680C22semidirect
143. #11762680C22semidirect
144. #11762680C22semidirect
145. #11762676C22semidirect
146. #11762674C22semidirect
147. #11762673C22semidirect
148. #11762673C22semidirect
149. #11762664C22semidirect
150. #11762664C22semidirect
151. C4⋊C4×Dic17C22semidirect
152. C4×#63225C22semidirect
153. C4×C4⋊Dic17C22semidirect
154. C4×C4⋊Dic17C22semidirect
155. #11762660C22semidirect
156. C22⋊C4×Dic17C22semidirect
157. C22⋊C4×Dic17C22semidirect
158. C22⋊C4×Dic17C22semidirect
159. C4×#63227C22semidirect
160. C4×#63227C22semidirect
161. C4×#63227C22semidirect
162. C4×C22⋊Dic17C22semidirect
163. #11762656C22semidirect
164. #11762656C22semidirect
165. #11762656C22semidirect
166. #11762656C22semidirect
167. #11762656C22semidirect
168. #11762656C22semidirect
169. #11762656C22semidirect
170. #11762656C22semidirect
171. #11762656C22semidirect
172. C42×Dic17C22semidirect
174. C17×#391C22semidirect
175. C17×#391C22semidirect
176. C17×#388C22semidirect
177. C17×#388C22semidirect
178. C17×#388C22semidirect
179. C17×#388C22semidirect
182. C17×#385C22semidirect
183. C17×#385C22semidirect
184. C17×#383C22semidirect
185. C4×C4⋊C4×C17C22semidirect
186. C4×C22⋊C4×C17C22semidirect
187. C4×C22⋊C4×C17C22semidirect
214. C17×#124C2×C4semidirect
242. #10587633C2×C4semidirect
243. #10587633C2×C4semidirect
245. #10587623C2×C4semidirect
246. #10587623C2×C4semidirect
322. #10587571C2×C4semidirect
323. #10587571C2×C4semidirect
324. #10587571C2×C4semidirect
325. #10587571C2×C4semidirect
326. #10587568C2×C4semidirect
327. #10587568C2×C4semidirect
328. #10587568C2×C4semidirect
329. #10587568C2×C4semidirect
335. #10587561C2×C4semidirect
336. #10587561C2×C4semidirect
764. #2337D17semidirect
891. #391C2×D17semidirect
892. #391C2×D17semidirect
934. #388C2×D17semidirect
935. #388C2×D17semidirect
936. #388C2×D17semidirect
937. #388C2×D17semidirect
972. #385C2×D17semidirect
973. #385C2×D17semidirect
975. #383C2×D17semidirect
986. C4×C4⋊C4C2×D17semidirect
1003. C4×C22⋊C4C2×D17semidirect
1004. C4×C22⋊C4C2×D17semidirect
1053. #124C4×D17semidirect
1207. C17#34529semidirect

Maximal subgroups

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

subgroupindex
C2×#117635512
#145319572
#145319562
#145319532
#145318602
#145318592
#145318562
#145318552
#145318532
#145318522
#145317672
#145317662
#145317642
#145317622
#145317602
#145315962
#145315952
#145315942
#145315912
#145314472
#145314462
#145314442
#145314402
#145314372
#145313272
#145313252
C4×#105875712
C17×#23372
#3452917