Finite Group Databasebeta

← #17194201

Subgroups — #17194201

Order 4352.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763486C211yesmaximal, characteristic
2#14531913C211yesmaximal, characteristic, complemented
3#14531903C211yesmaximal, characteristic, complemented
4#14531898C211yesmaximal, characteristic, complemented
5#14531895C211yesmaximal, characteristic, complemented
6#14531863C211yesmaximal, characteristic, complemented
7#14531783C211yesmaximal, characteristic, complemented
8#14531778C211yesmaximal, characteristic, complemented
9#14531766C211yesmaximal, characteristic
10#14531723C211yesmaximal, characteristic, complemented
11#14531720C211yesmaximal, characteristic, complemented
12#14531643C211yesmaximal, characteristic, complemented
13#14531642C211yesmaximal, characteristic, complemented
14#14531636C211yesmaximal, characteristic, complemented
15#14531631C211yesmaximal, characteristic, complemented
16#14531334C211yesmaximal, characteristic, complemented
17#14531334C211yesmaximal, characteristic, complemented
18#14531327C211yesmaximal, characteristic, complemented
19#14531322C211yesmaximal, characteristic, complemented
20C22⋊Q8×Dic17C211yesmaximal, characteristic, complemented
21#14531305C211yesmaximal, characteristic, complemented
22#14531305C211yesmaximal, characteristic, complemented
23#14531303C211yesmaximal, characteristic, complemented
24#14531285C211yesmaximal, characteristic
25C4×#10587579C211yesmaximal, characteristic, complemented
26C4×#10587567C211yesmaximal, characteristic, complemented
27C4×#10587578C211yesmaximal, characteristic, complemented
28C4×#10587563C211yesmaximal, characteristic, complemented
29C2×#11762656C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D17C211yesmaximal, characteristic, complemented
31C17×#2368C211yesmaximal, characteristic, complemented
32C23×C4×D17C2211yescharacteristic
33#11763486C4116yescomplemented
34C2×#10587584C2211yescharacteristic
35C2×#10587584C2211yescharacteristic
36C2×#10587633C2211yescharacteristic
37C2×#10587580C2211yescharacteristic
38C2×#10587580C2211yescharacteristic
39C2×#10587572C2211yescharacteristic
40C2×#10587632C2211yescharacteristic
41C2×#10587568C2211yescharacteristic
42C2×Q8×Dic17C2211yescharacteristic, complemented
43C2×C4×D68C2211yescharacteristic
44C2×#10587579C2211yescharacteristic
45C2×#10587579C2211yescharacteristic
46C2×#10587579C2211yescharacteristic
47C2×C4×C22⋊D17C2211yescharacteristic
48C2×#10587567C2211yescharacteristic
49C2×#10587567C2211yescharacteristic
50C2×#10587578C2211yescharacteristic
51C2×#10587578C2211yescharacteristic
52C2×#10587563C2211yescharacteristic
53C2×#10587563C2211yescharacteristic
54C22×#63227C2211yescharacteristic
55C22×#63227C2211yescharacteristic
56C2×C22⋊C4×D17C2211yescharacteristic
57C2×C22⋊C4×D17C2211yescharacteristic
58C22×C4×Dic17C2211yescharacteristic
59C22×C4×Dic17C2211yescharacteristic
60C2×C42×D17C2211yescharacteristic
61C2×C42×D17C2211yescharacteristic
62C2×C42×D17C2211yescharacteristic, complemented
63#11762716C2211yescharacteristic, complemented
64#11762711C2211yescharacteristic
65#11762708C2211yescharacteristic, complemented
66#11762707C2211yescharacteristic, complemented
67#11762701C2211yescharacteristic
68#11762701C2211yescharacteristic
69#11762701C2211yescharacteristic
70#11762701C2211yescharacteristic
71#11762701C2211yescharacteristic
72#11762701C2211yescharacteristic, complemented
73#11762701C2211yescharacteristic, complemented
74#11762701C2211yescharacteristic, complemented
75#11762700C2211yescharacteristic
76#11762700C2211yescharacteristic
77#11762700C2211yescharacteristic
78#11762700C2211yescharacteristic, complemented
79#11762699C2211yescharacteristic
80#11762699C2211yescharacteristic
81#11762699C2211yescharacteristic, complemented
82#11762699C2211yescharacteristic, complemented
83#11762696C2211yescharacteristic, complemented
84#11762696C2211yescharacteristic, complemented
85#11762696C2211yescharacteristic, complemented
86#11762696C2211yescharacteristic, complemented
87#11762695C2211yescharacteristic, complemented
88#11762695C2211yescharacteristic, complemented
89#11762694C2211yescharacteristic, complemented
90#11762694C2211yescharacteristic, complemented
91#11762692C2211yescharacteristic, complemented
92#11762692C2211yescharacteristic, complemented
93#11762690C2211yescharacteristic, complemented
94#11762690C2211yescharacteristic, complemented
95#11762688C2211yescharacteristic
96#11762688C2211yescharacteristic
97#11762687C2211yescharacteristic
98#11762687C2211yescharacteristic
99#11762687C2211yescharacteristic
100#11762687C2211yescharacteristic
101#11762684C2211yescharacteristic
102#11762684C2211yescharacteristic
103#11762683C2211yescharacteristic
104#11762683C2211yescharacteristic
105#11762683C2211yescharacteristic
106#11762683C2211yescharacteristic, complemented
107#11762680C2211yescharacteristic
108#11762680C2211yescharacteristic
109#11762676C2211yescharacteristic, complemented
110#11762676C2211yescharacteristic, complemented
111#11762674C2211yescharacteristic, complemented
112#11762671C2211yescharacteristic
113#11762671C2211yescharacteristic, complemented
114#11762670C2211yescharacteristic
115#11762669C2211yescharacteristic
116#11762666C2211yescharacteristic
117#11762664C2211yescharacteristic
118C4⋊C4×Dic17C2211yescharacteristic, complemented
119C4⋊C4×Dic17C2211yescharacteristic, complemented
120C4⋊C4×Dic17C2211yescharacteristic, complemented
121C4⋊C4×Dic17C2211yescharacteristic, complemented
122C4⋊C4×Dic17C2211yescharacteristic, complemented
123C4⋊C4×Dic17C2211yescharacteristic, complemented
124C4×#63225C2211yescharacteristic, complemented
125C4×#63225C2211yescharacteristic, complemented
126C4×#63225C2211yescharacteristic, complemented
127C4×C4⋊Dic17C2211yescharacteristic, complemented
128#11762660C2211yescharacteristic, complemented
129#11762660C2211yescharacteristic, complemented
130#11762660C2211yescharacteristic, complemented
131#11762660C2211yescharacteristic, complemented
132C22⋊C4×Dic17C2211yescharacteristic
133C22⋊C4×Dic17C2211yescharacteristic
134C22⋊C4×Dic17C2211yescharacteristic
135C22⋊C4×Dic17C2211yescharacteristic
136C4×#63227C2211yescharacteristic
137C4×#63227C2211yescharacteristic
138C4×#63227C2211yescharacteristic
139C4×#63227C2211yescharacteristic
140C4×#63227C2211yescharacteristic
141C4×#63227C2211yescharacteristic, complemented
142C4×#63227C2211yescharacteristic, complemented
143C4×C22⋊Dic17C2211yescharacteristic
144C4×C22⋊Dic17C2211yescharacteristic
145#11762656C2211yescharacteristic
146#11762656C2211yescharacteristic
147#11762656C2211yescharacteristic
148#11762656C2211yescharacteristic
149#11762656C2211yescharacteristic
150#11762656C2211yescharacteristic
151#11762656C2211yescharacteristic
152#11762656C2211yescharacteristic
153#11762656C2211yescharacteristic
154#11762656C2211yescharacteristic
155#11762656C2211yescharacteristic
156#11762656C2211yescharacteristic
157#11762656C2211yescharacteristic
158#11762656C2211yescharacteristic, complemented
159#11762656C2211yescharacteristic, complemented
160#11762656C2211yescharacteristic, complemented
161#11762656C2211yescharacteristic, complemented
162#11762656C2211yescharacteristic, complemented
163#11762654C2211yescharacteristic, complemented
164#11762654C2211yescharacteristic, complemented
165#11762654C2211yescharacteristic, complemented
166#11762654C2211yescharacteristic, complemented
167C2×#10587502C2211yescharacteristic
168#95×D17C2211yescharacteristic
169#95×D17C2211yescharacteristic
170C42×Dic17C2211yescharacteristic, complemented
171C42×Dic17C2211yescharacteristic, complemented
172C42×Dic17C2211yescharacteristic, complemented
173C2×C17×C22⋊Q8C2211yescharacteristic
174C17×#391C2211yescharacteristic, complemented
175C17×#391C2211yescharacteristic, complemented
176C17×#387C2211yescharacteristic, complemented
177C17×#387C2211yescharacteristic, complemented
178C17×#387C2211yescharacteristic, complemented
179C17×#387C2211yescharacteristic, complemented
180C17×#385C2211yescharacteristic
181C17×#385C2211yescharacteristic
182C4×C4⋊C4×C17C2211yescharacteristic, complemented
183C4×C4⋊C4×C17C2211yescharacteristic, complemented
184C4×C22⋊C4×C17C2211yescharacteristic
185C4×C22⋊C4×C17C2211yescharacteristic
186C4×C22⋊C4×C17C2211yescharacteristic
187C2×C17×#95C2211yescharacteristic
188C24×D17C2311yescharacteristic
189C22×Q8×C17C2311yescharacteristic
190C23×C4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C23×Dic17C2311yescharacteristic
195C23×Dic17C2311yescharacteristic
196C23×Dic17C2311yescharacteristic
197C22×D68C2311yescharacteristic
198C22×D68C2311yescharacteristic
199C22×C4×D17—24no—
200C22×C4×D17—24no—
201C22×C4×D17—42no—
202C22×C4×D17C2311yescharacteristic
203C22×C4×D17C2311yescharacteristic
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×C4×D17C2311yescharacteristic
213C17×C22⋊Q8C2×C418yescomplemented
214C2×C4⋊C4×C17C2311yescharacteristic
215C2×C4⋊C4×C17C2311yescharacteristic
216C2×C4⋊C4×C17C2311yescharacteristic
217C2×C4⋊C4×C17C2311yescharacteristic
218C2×C4⋊C4×C17C2311yescharacteristic
219C2×C4⋊C4×C17C2311yescharacteristic
220C2×C4⋊C4×C17C2311yescharacteristic
221C2×C22⋊C4×C17C2311yescharacteristic
222C2×C22⋊C4×C17C2311yescharacteristic
223C2×C22⋊C4×C17C2311yescharacteristic
224C2×C22⋊C4×C17C2311yescharacteristic
225C2×C42×C17C2311yescharacteristic
226C2×C42×C17C2311yescharacteristic
227C2×C42×C17C2311yescharacteristic
228C2×C42×C17C2311yescharacteristic
229C2×C42×C17C2311yescharacteristic
230C2×C42×C17C2311yescharacteristic
231C2×C22⋊Dic17C2311yescharacteristic
232C2×C22⋊Dic17C2311yescharacteristic
233C2×C22⋊Dic17C2311yescharacteristic
234#10587633C2×C418yescomplemented
235#10587632C2×C418yescomplemented
236Q8×Dic17—42no—
237C4×C22⋊D17C2×C418yescomplemented
238C2×#63227—24no—
239C2×#63227C2×C418yescomplemented
240C2×#63227C2311yescharacteristic
241C2×#63227C2311yescharacteristic
242C2×#63227C2311yescharacteristic
243C2×#63227C2311yescharacteristic
244C2×#63227C2311yescharacteristic
245C2×#63227C2311yescharacteristic
246C2×#63227C2311yescharacteristic
247C2×#63227C2311yescharacteristic
248C2×#63227C2311yescharacteristic
249C2×#63227C2311yescharacteristic
250C2×#63227C2311yescharacteristic
251C2×#63227C2311yescharacteristic
252C2×#63227C2311yescharacteristic
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×C4⋊Dic17C2311yescharacteristic
268C2×C4⋊Dic17C2311yescharacteristic
269C2×C4⋊Dic17C2311yescharacteristic
270C2×C4⋊Dic17C2311yescharacteristic
271C2×C4⋊Dic17C2311yescharacteristic
272C2×C4⋊Dic17C2311yescharacteristic
273C2×C4⋊Dic17C2311yescharacteristic
274C2×C4⋊Dic17C2311yescharacteristic
275C2×#63225C2311yescharacteristic
276C2×#63225C2311yescharacteristic
277C2×#63225C2311yescharacteristic
278C2×#63225C2311yescharacteristic
279C2×#63225C2311yescharacteristic
280C2×#63225C2311yescharacteristic
281C2×#63225C2311yescharacteristic
282C2×C4×Dic17—24no—
283C2×C4×Dic17—42no—
284C2×C4×Dic17C2311yescharacteristic
285C2×C4×Dic17C2311yescharacteristic
286C2×C4×Dic17C2311yescharacteristic
287C2×C4×Dic17C2311yescharacteristic
288C2×C4×Dic17C2311yescharacteristic
289C2×C4×Dic17C2311yescharacteristic
290C2×C4×Dic17C2311yescharacteristic
291C2×C4×Dic17C2311yescharacteristic
292C2×C4×Dic17C2311yescharacteristic
293C2×C4×Dic17C2311yescharacteristic
294C2×C4×Dic17C2311yescharacteristic
295C2×C4×Dic17C2311yescharacteristic
296C2×C4×Dic17C2311yescharacteristic
297C2×C4×Dic17C2311yescharacteristic
298C2×C4×Dic17C2311yescharacteristic
299C2×C4×Dic17C2311yescharacteristic
300C2×C4×Dic17C2311yescharacteristic
301C2×C4×Dic17C2311yescharacteristic
302C2×C4×Dic17C2311yescharacteristic
303C2×C4×Dic17C2311yescharacteristic
304C2×C4×Dic17C2311yescharacteristic
305C2×C4×Dic17C2311yescharacteristic
306C2×C4×Dic17C2311yescharacteristic
307C2×C4×Dic17C2311yescharacteristic
308C2×C4×Dic17C2311yescharacteristic
309C2×C4×Dic17C2311yescharacteristic
310C2×C4×Dic17C2311yescharacteristic
311#10587584C2×C418yescomplemented
312#10587584C2×C418yescomplemented
313#10587580C2×C418yescomplemented
314#10587580C2×C418yescomplemented
315#10587579—24no—
316#10587579—42no—
317#10587579C2×C418yescomplemented
318#10587578—24no—
319#10587578C2×C418yescomplemented
320#10587572C2×C418yescomplemented
321#10587568C2×C418yes—
322#10587567—24no—
323#10587567—24no—
324C22⋊C4×D17—24no—
325C22⋊C4×D17C2×C418yescomplemented
326#10587563—24no—
327#10587563C2×C418yescomplemented
328C4×D68—24no—
329C42×D17—24no—
330C42×D17—42no—
331C42×D17—42no—
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
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×C17C2411yescharacteristic
377C23×D17—22no—
378C23×D17—22no—
379C23×D17—22no—
380C23×D17—22no—
381C23×D17—41no—
382C23×D17—41no—
383C23×D17C22×C414yes—
384C23×D17C2411yescharacteristic
385C23×D17C2411yescharacteristic
386C23×D17C2411yescharacteristic
387C2×Q8×C17—41no—
388C2×Q8×C17—41no—
389C2×Q8×C17C22×C414yescomplemented
390C22×C4×C17—22no—
391C22×C4×C17—22no—
392C22×C4×C17—22no—
393C22×C4×C17—22no—
394C22×C4×C17—41no—
395C22×C4×C17—41no—
396C22×C4×C17—41no—
397C22×C4×C17—41no—
398C22×C4×C17C22×C414yes—
399C22×C4×C17C2411yescharacteristic
400C22×C4×C17C2411yescharacteristic
401C22×C4×C17C2411yescharacteristic
402C22×C4×C17C2411yescharacteristic
403C22×C4×C17C2411yescharacteristic
404C22×C4×C17C2411yescharacteristic
405C22×C4×C17C2411yescharacteristic
406C22×C4×C17C2411yescharacteristic
407C22×C4×C17C2411yescharacteristic
408C22×C4×C17C2411yescharacteristic
409C22×C4×C17C2411yescharacteristic
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
412C22×C4×C17C2411yescharacteristic
413C2×C22⋊D17—22no—
414C2×C22⋊D17—22no—
415C2×C22⋊D17C22×C414yes—
416C22×Dic17—22no—
417C22×Dic17—22no—
418C22×Dic17—22no—
419C22×Dic17—22no—
420C22×Dic17—22no—
421C22×Dic17—22no—
422C22×Dic17—41no—
423C22×Dic17C22×C414yes—
424C22×Dic17#4114yes—
425C22×Dic17C2411yescharacteristic
426C22×Dic17C2411yescharacteristic
427C22×Dic17C2411yescharacteristic
428C22×Dic17C2411yescharacteristic
429C22×Dic17C2411yescharacteristic
430C22×Dic17C2411yescharacteristic
431C22×Dic17C2411yescharacteristic
432C22×Dic17C2411yescharacteristic
433C22×Dic17C2411yescharacteristic
434C22×Dic17C2411yescharacteristic
435C22×Dic17C2411yescharacteristic
436C22×Dic17C2411yescharacteristic
437C22×Dic17C2411yescharacteristic
438C2×D68—22no—
439C2×D68—22no—
440C2×D68—41no—
441C2×D68—41no—
442C2×D68C22×C414yes—
443C2×D68C22×C414yes—
444C2×C4×D17—22no—
445C2×C4×D17—22no—
446C2×C4×D17—22no—
447C2×C4×D17—22no—
448C2×C4×D17—22no—
449C2×C4×D17—22no—
450C2×C4×D17—22no—
451C2×C4×D17—22no—
452C2×C4×D17—22no—
453C2×C4×D17—22no—
454C2×C4×D17—22no—
455C2×C4×D17—22no—
456C2×C4×D17—22no—
457C2×C4×D17—22no—
458C2×C4×D17—22no—
459C2×C4×D17—22no—
460C2×C4×D17—22no—
461C2×C4×D17—22no—
462C2×C4×D17—22no—
463C2×C4×D17—22no—
464C2×C4×D17—416no—
465C2×C4×D17—41no—
466C2×C4×D17—41no—
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×D17C22×C414yes—
475C2×C4×D17C22×C414yes—
476C2×C4×D17C22×C414yescomplemented
477C2×C4×D17#4114yes—
478C4⋊C4×C17—22no—
479C4⋊C4×C17—22no—
480C4⋊C4×C17—41no—
481C4⋊C4×C17—41no—
482C4⋊C4×C17C22×C414yescomplemented
483C4⋊C4×C17C22×C414yescomplemented
484C4⋊C4×C17C22×C414yescomplemented
485C22⋊C4×C17—22no—
486C22⋊C4×C17C22×C414yes—
487C22⋊C4×C17C22×C414yes—
488C22⋊C4×C17#4114yes—
489C42×C17—22no—
490C42×C17—22no—
491C42×C17—41no—
492C42×C17—41no—
493C42×C17—41no—
494C42×C17—41no—
495C22⋊Dic17—22no—
496C22⋊Dic17—22no—
497C22⋊Dic17C22×C414yes—
498#63227—22no—
499#63227—22no—
500#63227—22no—
501#63227—22no—
502#63227—22no—
503#63227—22no—
504#63227—22no—
505#63227—22no—
506#63227—22no—
507#63227—22no—
508#63227—22no—
509#63227—41no—
510#63227—41no—
511#63227—41no—
512#63227—41no—
513#63227C22×C414yes—
514#63227C22×C414yes—
515#63227C22×C414yes—
516#63227C22×C414yes—
517#63227C22×C414yes—
518#63227C22×C414yes—
519#63227C22×C414yes—
520#63227C22×C414yes—
521#63227C22×C414yescomplemented
522#63227C22×C414yescomplemented
523#63227C22×C414yescomplemented
524#63227#4114yes—
525C4⋊Dic17—22no—
526C4⋊Dic17—22no—
527C4⋊Dic17—41no—
528C4⋊Dic17—41no—
529C4⋊Dic17—41no—
530C4⋊Dic17—41no—
531C4⋊Dic17C22×C414yescomplemented
532C4⋊Dic17C22×C414yescomplemented
533#63225—22no—
534#63225—22no—
535#63225—22no—
536#63225—22no—
537#63225C22×C414yescomplemented
538#63225C22×C414yescomplemented
539#63225C22×C414yescomplemented
540C4×Dic17—22no—
541C4×Dic17—22no—
542C4×Dic17—22no—
543C4×Dic17—22no—
544C4×Dic17—22no—
545C4×Dic17—22no—
546C4×Dic17—22no—
547C4×Dic17—22no—
548C4×Dic17—22no—
549C4×Dic17—22no—
550C4×Dic17—22no—
551C4×Dic17—22no—
552C4×Dic17—22no—
553C4×Dic17—22no—
554C4×Dic17—22no—
555C4×Dic17—22no—
556C4×Dic17—22no—
557C4×Dic17—22no—
558C4×Dic17—22no—
559C4×Dic17—41no—
560C4×Dic17—41no—
561C4×Dic17—41no—
562C4×Dic17—41no—
563C4×Dic17—41no—
564C4×Dic17C22×C414yescomplemented
565C4×Dic17C22×C414yescomplemented
566C4×Dic17C22×C414yescomplemented
567C4×#551—171nomaximal, Sylow
568C23×C17—21no—
569C23×C17—21no—
570C23×C17—21no—
571C23×C17—21no—
572C23×C17C23×C412yes—
573C23×C17C2×#4112yes—
574C23×C17C2×#4112yes—
575C23×C17C2511yescharacteristic
576C22×D17—21no—
577C22×D17—21no—
578C22×D17—21no—
579C22×D17—21no—
580C22×D17—28no—
581C22×D17—21no—
582C22×D17—21no—
583C22×D17—21no—
584C22×D17—21no—
585C22×D17—21no—
586C22×D17—21no—
587C22×D17—21no—
588C22×D17—21no—
589C22×D17—21no—
590C22×D17—21no—
591C22×D17—21no—
592C22×D17—21no—
593C22×D17—28no—
594C22×D17—44no—
595C22×D17—44no—
596C22×D17—44no—
597C22×D17—44no—
598C22×D17—44no—
599C22×D17C23×C412yes—
600C22×D17C23×C412yes—
601C22×D17C23×C412yes—
602C22×D17C2×#4112yes—
603C22×D17C2×#4112yes—
604Q8×C17—44no—
605C2×C4×C17—21no—
606C2×C4×C17—21no—
607C2×C4×C17—21no—
608C2×C4×C17—21no—
609C2×C4×C17—21no—
610C2×C4×C17—21no—
611C2×C4×C17—21no—
612C2×C4×C17—21no—
613C2×C4×C17—21no—
614C2×C4×C17—21no—
615C2×C4×C17—21no—
616C2×C4×C17—21no—
617C2×C4×C17—21no—
618C2×C4×C17—21no—
619C2×C4×C17—21no—
620C2×C4×C17—21no—
621C2×C4×C17—21no—
622C2×C4×C17—21no—
623C2×C4×C17—21no—
624C2×C4×C17—21no—
625C2×C4×C17—21no—
626C2×C4×C17—21no—
627C2×C4×C17—21no—
628C2×C4×C17—21no—
629C2×C4×C17—21no—
630C2×C4×C17—21no—
631C2×C4×C17—21no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—44no—
638C2×C4×C17—44no—
639C2×C4×C17—44no—
640C2×C4×C17C23×C412yes—
641C2×C4×C17C23×C412yes—
642C2×C4×C17C23×C412yes—
643C2×C4×C17C23×C412yes—
644C2×C4×C17C23×C412yes—
645C2×C4×C17C23×C412yes—
646C2×C4×C17C2×#4112yes—
647C2×C4×C17C2×#4112yes—
648C2×C4×C17C2×#4112yes—
649C2×C4×C17C2×#4112yes—
650C22⋊D17—28no—
651C2×Dic17—28no—
652C2×Dic17—21no—
653C2×Dic17—21no—
654C2×Dic17—21no—
655C2×Dic17—21no—
656C2×Dic17—21no—
657C2×Dic17—21no—
658C2×Dic17—21no—
659C2×Dic17—21no—
660C2×Dic17—21no—
661C2×Dic17—21no—
662C2×Dic17—21no—
663C2×Dic17—21no—
664C2×Dic17—21no—
665C2×Dic17—21no—
666C2×Dic17—28no—
667C2×Dic17—21no—
668C2×Dic17—21no—
669C2×Dic17—21no—
670C2×Dic17—21no—
671C2×Dic17—21no—
672C2×Dic17—21no—
673C2×Dic17—21no—
674C2×Dic17—21no—
675C2×Dic17—21no—
676C2×Dic17—21no—
677C2×Dic17—21no—
678C2×Dic17—21no—
679C2×Dic17—21no—
680C2×Dic17—21no—
681C2×Dic17—21no—
682C2×Dic17—44no—
683C2×Dic17C23×C412yes—
684C2×Dic17C23×C412yes—
685C2×Dic17C23×C412yes—
686C2×Dic17C23×C412yes—
687C2×Dic17C23×C412yes—
688C2×Dic17C2×#4112yes—
689C2×Dic17C2×#4112yes—
690C2×Dic17C2×#4112yes—
691C2×Dic17C2×#4112yes—
692C2×Dic17H(5,𝔽2)12yes—
693D68—28no—
694D68—44no—
695C4×D17—28no—
696C4×D17—28no—
697C4×D17—44no—
698C4×D17—44no—
699C4×D17—44no—
700C4×D17—44no—
701C4×D17—44no—
702C4×D17—44no—
703C4×D17—44no—
704C4×D17—44no—
705C4×D17—44no—
706C2×#551—171no—
707#2374—171no—
708#2373—171no—
709#2373—171no—
710#2372—171no—
711#2368—171no—
712#2368D1711yescharacteristic, complemented
713#2359—171no—
714#2359—171no—
715#2358—171no—
716#2353—171no—
717#2353—171no—
718#2343—171no—
719#2343—171no—
720#2342—171no—
721#2342—171no—
722C4×#126—171no—
723C4×#126—171no—
724C4×#124—171no—
725C4×C22⋊Q8—171no—
726C4×C22⋊Q8—171no—
727C4×#123—171no—
728C4×#123—171no—
729C4×#123—171no—
730C4×#120—171no—
731C42×D4—171no—
732C42×D4—171no—
733C4×#117—171no—
734C4×#117—171no—
735C2×C4×C22⋊C4—171no—
736C2×C4×C22⋊C4—171no—
737C22×C17—22no—
738C22×C17—22no—
739C22×C17—22no—
740C22×C17—22no—
741C22×C17—22no—
742C22×C17—22no—
743C22×C17C4×#4114yes—
744C22×C17C24×C411yescharacteristic
745C22×C17C22×#4111yescharacteristic
746C22×C17C22×#4111yescharacteristic
747C22×C17C22×#4111yescharacteristic
748C22×C17C22×#4111yescharacteristic
749C22×C17C2×H(5,𝔽2)11yescharacteristic
750C22×C17#58511yescharacteristic
751C2×D17—22no—
752C2×D17—22no—
753C2×D17—22no—
754C2×D17—22no—
755C2×D17—22no—
756C2×D17—22no—
757C2×D17—22no—
758C2×D17—22no—
759C2×D17—22no—
760C2×D17—22no—
761C2×D17—22no—
762C2×D17—22no—
763C2×D17—416no—
764C2×D17—41no—
765C2×D17—41no—
766C2×D17—41no—
767C2×D17—41no—
768C2×D17—41no—
769C2×D17—41no—
770C2×D17—41no—
771C2×D17—41no—
772C2×D17C4×#4114yes—
773C4×C17—22no—
774C4×C17—22no—
775C4×C17—22no—
776C4×C17—22no—
777C4×C17—22no—
778C4×C17—22no—
779C4×C17—22no—
780C4×C17—22no—
781C4×C17—22no—
782C4×C17—22no—
783C4×C17—41no—
784C4×C17—41no—
785C4×C17—41no—
786C4×C17—41no—
787Dic17—22no—
788Dic17—22no—
789Dic17—22no—
790Dic17—22no—
791Dic17—22no—
792Dic17—22no—
793Dic17—22no—
794Dic17—41no—
795Dic17—41no—
796Dic17—41no—
797Dic17—41no—
798Dic17—41no—
799Dic17#55114yescomplemented
800C24×C4—171no—
801#551—1716no—
802C2×#126—171no—
803C2×#126—171no—
804C2×#124—171no—
805C2×#123—171no—
806C2×#123—171no—
807C2×#123—171no—
808C2×C22⋊Q8—171no—
809C2×C22⋊Q8C2×D1711yescharacteristic
810C2×#120—171no—
811C2×C4×Q8—171no—
812C2×C4×D4—171no—
813C2×C4×D4—171no—
814C2×C4×D4—171no—
815C2×C4×D4—171no—
816C2×C4×D4—171no—
817C2×C4×D4—171no—
818C2×C4×D4—171no—
819C2×#117—171no—
820C2×#117—171no—
821C2×#117—171no—
822C2×#117—171no—
823C22×C22⋊C4—171no—
824C22×C22⋊C4—171no—
825C22×C22⋊C4—171no—
826C22×C22⋊C4—171no—
827C22×C42—171no—
828C22×C42—171no—
829C22×C42—171no—
830C22×C42—171no—
831C22×C42—171no—
832#391—171no—
833#391C2×D1711yescharacteristic, complemented
834#391C2×D1711yescharacteristic, complemented
835#390—171no—
836#389—171no—
837#389—171no—
838#388—171no—
839#388—171no—
840#388—171no—
841#388—171no—
842#388—171no—
843#388—171no—
844#388—171no—
845#388—171no—
846#388—171no—
847#388—171no—
848#388—171no—
849#388—171no—
850#388—171no—
851#388—171no—
852#388—171no—
853#388—171no—
854#387—171no—
855#387—171no—
856#387—171no—
857#387—171no—
858#387—171no—
859#387—171no—
860#387—171no—
861#387—171no—
862#387—171no—
863#387—171no—
864#387—171no—
865#387—171no—
866#387C2×D1711yescharacteristic, complemented
867#387C2×D1711yescharacteristic, complemented
868#387C2×D1711yescharacteristic, complemented
869#387C2×D1711yescharacteristic, complemented
870#386—171no—
871#386—171no—
872#386—171no—
873#386—171no—
874#386—171no—
875#386—171no—
876#385—171no—
877#385—171no—
878#385—171no—
879#385—171no—
880#385—171no—
881#385—171no—
882#385—171no—
883#385—171no—
884#385C2×D1711yescharacteristic
885#385C2×D1711yescharacteristic
886#383—171no—
887#383—171no—
888#382—171no—
889#381—171no—
890#381—171no—
891#381—171no—
892#380—171no—
893#380—171no—
894#379—171no—
895C4×C4⋊C4—171no—
896C4×C4⋊C4—171no—
897C4×C4⋊C4—171no—
898C4×C4⋊C4—171no—
899C4×C4⋊C4—171no—
900C4×C4⋊C4—171no—
901C4×C4⋊C4—171no—
902C4×C4⋊C4—171no—
903C4×C4⋊C4—171no—
904C4×C4⋊C4—171no—
905C4×C4⋊C4—171no—
906C4×C4⋊C4—171no—
907C4×C4⋊C4—171no—
908C4×C4⋊C4—171no—
909C4×C4⋊C4C2×D1711yescharacteristic, complemented
910C4×C4⋊C4C2×D1711yescharacteristic, complemented
911C4×C22⋊C4—171no—
912C4×C22⋊C4—171no—
913C4×C22⋊C4—171no—
914C4×C22⋊C4—171no—
915C4×C22⋊C4—171no—
916C4×C22⋊C4—171no—
917C4×C22⋊C4—171no—
918C4×C22⋊C4—171no—
919C4×C22⋊C4—171no—
920C4×C22⋊C4—171no—
921C4×C22⋊C4—171no—
922C4×C22⋊C4—171no—
923C4×C22⋊C4—171no—
924C4×C22⋊C4—171no—
925C4×C22⋊C4—171no—
926C4×C22⋊C4—171no—
927C4×C22⋊C4—171no—
928C4×C22⋊C4—171no—
929C4×C22⋊C4—171no—
930C4×C22⋊C4—171no—
931C4×C22⋊C4—171no—
932C4×C22⋊C4—171no—
933C4×C22⋊C4—171no—
934C4×C22⋊C4—171no—
935C4×C22⋊C4—171no—
936C4×C22⋊C4—171no—
937C4×C22⋊C4—171no—
938C4×C22⋊C4—171no—
939C4×C22⋊C4—171no—
940C4×C22⋊C4—171no—
941C4×C22⋊C4—171no—
942C4×C22⋊C4C2×D1711yescharacteristic
943C4×C22⋊C4C2×D1711yescharacteristic
944C4×C22⋊C4C2×D1711yescharacteristic
945#376—171no—
946#376—171no—
947#376—171no—
948#376—171no—
949C2×#95—171no—
950C2×#95—171no—
951C2×#95—171no—
952C2×#95C2×D1711yescharacteristic
953C43—171no—
954C43—171no—
955C43—171no—
956C2×C17—24no—
957C2×C17C2×C4×#4111yescharacteristic
958C2×C17C2×C4×#4111yescharacteristic
959C2×C17C4×H(5,𝔽2)11yescharacteristic
960C2×C17C2×#55111yescharacteristic
961C2×C17#347511yescharacteristic
962C2×C17#347511yescharacteristic
963C2×C17#348111yescharacteristic
964D17—24no—
965D17—42no—
966D17—42no—
967C25—171no—
968C22×Q8C22×D1711yescharacteristic
969C22×D4—171no—
970C22×D4—171no—
971C22×D4—171no—
972C23×C4—171no—
973C23×C4—171no—
974C23×C4—171no—
975C23×C4—171no—
976C23×C4—171no—
977C23×C4—171no—
978C23×C4—171no—
979C23×C4—171no—
980C23×C4—171no—
981C23×C4—171no—
982C23×C4—171no—
983C23×C4—171no—
984C23×C4—171no—
985C23×C4—171no—
986C23×C4—344no—
987C23×C4—344no—
988C23×C4—682no—
989C23×C4C22×D1711yescharacteristic
990C23×C4C22×D1711yescharacteristic
991C23×C4C22×D1711yescharacteristic
992#126—178no—
993#126—178no—
994#124—178no—
995#123—178no—
996#123—178no—
997#123—178no—
998C22⋊Q8—178no—
999C22⋊Q8C4×D1718yescomplemented
1000#120—178no—
1001C4×Q8—682no—
1002C4×D4—178no—
1003C4×D4—178no—
1004C4×D4—344no—
1005C4×D4—344no—
1006C4×D4—344no—
1007C4×D4—344no—
1008C4×D4—682no—
1009#117—178no—
1010#117—178no—
1011#117—344no—
1012#117—344no—
1013C2×C4⋊C4—171no—
1014C2×C4⋊C4—171no—
1015C2×C4⋊C4—171no—
1016C2×C4⋊C4—171no—
1017C2×C4⋊C4—171no—
1018C2×C4⋊C4—171no—
1019C2×C4⋊C4—171no—
1020C2×C4⋊C4—171no—
1021C2×C4⋊C4—171no—
1022C2×C4⋊C4—171no—
1023C2×C4⋊C4—171no—
1024C2×C4⋊C4—171no—
1025C2×C4⋊C4—171no—
1026C2×C4⋊C4—171no—
1027C2×C4⋊C4—171no—
1028C2×C4⋊C4C22×D1711yescharacteristic
1029C2×C4⋊C4C22×D1711yescharacteristic
1030C2×C4⋊C4C22×D1711yescharacteristic
1031C2×C4⋊C4C22×D1711yescharacteristic
1032C2×C4⋊C4C22×D1711yescharacteristic
1033C2×C4⋊C4C22×D1711yescharacteristic
1034C2×C4⋊C4C22×D1711yescharacteristic
1035C2×C22⋊C4—171no—
1036C2×C22⋊C4—178no—
1037C2×C22⋊C4—171no—
1038C2×C22⋊C4—171no—
1039C2×C22⋊C4—171no—
1040C2×C22⋊C4—171no—
1041C2×C22⋊C4—171no—
1042C2×C22⋊C4—171no—
1043C2×C22⋊C4—171no—
1044C2×C22⋊C4—171no—
1045C2×C22⋊C4—171no—
1046C2×C22⋊C4—171no—
1047C2×C22⋊C4—171no—
1048C2×C22⋊C4—171no—
1049C2×C22⋊C4—178no—
1050C2×C22⋊C4—171no—
1051C2×C22⋊C4—171no—
1052C2×C22⋊C4—171no—
1053C2×C22⋊C4—171no—
1054C2×C22⋊C4—171no—
1055C2×C22⋊C4—171no—
1056C2×C22⋊C4—171no—
1057C2×C22⋊C4—171no—
1058C2×C22⋊C4—171no—
1059C2×C22⋊C4—171no—
1060C2×C22⋊C4—171no—
1061C2×C22⋊C4—171no—
1062C2×C22⋊C4—171no—
1063C2×C22⋊C4—171no—
1064C2×C22⋊C4—171no—
1065C2×C22⋊C4—171no—
1066C2×C22⋊C4—171no—
1067C2×C22⋊C4—344no—
1068C2×C22⋊C4—344no—
1069C2×C22⋊C4C22×D1711yescharacteristic
1070C2×C22⋊C4C22×D1711yescharacteristic
1071C2×C22⋊C4C22×D1711yescharacteristic
1072C2×C22⋊C4C22×D1711yescharacteristic
1073C2×C42—171no—
1074C2×C42—171no—
1075C2×C42—171no—
1076C2×C42—171no—
1077C2×C42—171no—
1078C2×C42—171no—
1079C2×C42—171no—
1080C2×C42—171no—
1081C2×C42—171no—
1082C2×C42—171no—
1083C2×C42—171no—
1084C2×C42—171no—
1085C2×C42—171no—
1086C2×C42—171no—
1087C2×C42—171no—
1088C2×C42—171no—
1089C2×C42—171no—
1090C2×C42—171no—
1091C2×C42—171no—
1092C2×C42—171no—
1093C2×C42—171no—
1094C2×C42—171no—
1095C2×C42—171no—
1096C2×C42—171no—
1097C2×C42—171no—
1098C2×C42—171no—
1099C2×C42—171no—
1100C2×C42—344no—
1101C2×C42—344no—
1102C2×C42—682no—
1103C2×C42—682no—
1104C2×C42—682no—
1105C2×C42C22×D1711yescharacteristic
1106C2×C42C22×D1711yescharacteristic
1107C2×C42C22×D1711yescharacteristic
1108C2×C42C22×D1711yescharacteristic
1109C2×C42C22×D1711yescharacteristic
1110C2×C42C22×D1711yescharacteristic
1111#95—171no—
1112#95—171no—
1113#95—171no—
1114#95—171no—
1115#95—171no—
1116#95—171no—
1117#95—171no—
1118#95—171no—
1119#95—171no—
1120#95—171no—
1121#95—171no—
1122#95—171no—
1123#95—171no—
1124#95—171no—
1125#95—171no—
1126#95—171no—
1127#95—171no—
1128#95—171no—
1129#95—171no—
1130#95—171no—
1131#95—171no—
1132#95—171no—
1133#95—171no—
1134#95—171no—
1135#95—171no—
1136#95—171no—
1137#95—171no—
1138#95—171no—
1139#95—171no—
1140#95—171no—
1141#95C22×D1711yescharacteristic
1142#95C22×D1711yescharacteristic
1143#95C22×D1711yescharacteristic
1144#95C22×D1711yescharacteristic
1145#95C22×D1711yescharacteristic
1146#95C22×D1711yescharacteristic
1147#95C22×D1711yescharacteristic
1148#95C22×D1711yescharacteristic
1149#95C22×D1711yescharacteristic
1150#95C22×D1711yescharacteristic
1151#95C22×D1711yescharacteristic
1152#95C22×D1711yescharacteristic
1153#95C22×D1711yescharacteristic
1154#95C22×D1711yescharacteristic
1155C17C4×#55111yescharacteristic, complemented, Sylow
1156C24—171no—
1157C24—171no—
1158C24—171no—
1159C24—174no—
1160C24—342no—
1161C24—342no—
1162C24—342no—
1163C24—342no—
1164C24—681no—
1165C24—681no—
1166C24C23×D1711yescharacteristic
1167C2×Q8—41no—
1168C2×Q8—41no—
1169C2×Q8C2×C4×D1714yescomplemented
1170C2×D4—174no—
1171C2×D4—174no—
1172C2×D4—174no—
1173C2×D4—342no—
1174C2×D4—342no—
1175C2×D4—342no—
1176C2×D4—342no—
1177C2×D4—681no—
1178C2×D4—681no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—171no—
1188C22×C4—174no—
1189C22×C4—174no—
1190C22×C4—171no—
1191C22×C4—171no—
1192C22×C4—171no—
1193C22×C4—171no—
1194C22×C4—171no—
1195C22×C4—171no—
1196C22×C4—171no—
1197C22×C4—174no—
1198C22×C4—174no—
1199C22×C4—174no—
1200C22×C4—174no—
1201C22×C4—171no—
1202C22×C4—171no—
1203C22×C4—171no—
1204C22×C4—171no—
1205C22×C4—171no—
1206C22×C4—342no—
1207C22×C4—342no—
1208C22×C4—342no—
1209C22×C4—342no—
1210C22×C4—342no—
1211C22×C4—342no—
1212C22×C4—342no—
1213C22×C4—342no—
1214C22×C4—342no—
1215C22×C4—342no—
1216C22×C4—342no—
1217C22×C4—342no—
1218C22×C4—342no—
1219C22×C4—342no—
1220C22×C4—342no—
1221C22×C4—342no—
1222C22×C4—342no—
1223C22×C4—342no—
1224C22×C4—342no—
1225C22×C4—342no—
1226C22×C4—342no—
1227C22×C4—342no—
1228C22×C4—342no—
1229C22×C4—342no—
1230C22×C4—342no—
1231C22×C4—342no—
1232C22×C4—681no—
1233C22×C4—681no—
1234C22×C4—681no—
1235C22×C4—681no—
1236C22×C4—681no—
1237C22×C4—681no—
1238C22×C4—681no—
1239C22×C4—681no—
1240C22×C4—681no—
1241C22×C4—6816no—
1242C22×C4—681no—
1243C22×C4C2×C4×D1714yes—
1244C22×C4C23×D1711yescharacteristic
1245C22×C4C23×D1711yescharacteristic
1246C22×C4C23×D1711yescharacteristic
1247C22×C4C23×D1711yescharacteristic
1248C22×C4C23×D1711yescharacteristic
1249C22×C4C23×D1711yescharacteristic
1250C22×C4C23×D1711yescharacteristic
1251C22×C4C23×D1711yescharacteristic
1252C22×C4C23×D1711yescharacteristic
1253C22×C4C23×D1711yescharacteristic
1254C22×C4C23×D1711yescharacteristic
1255C22×C4C23×D1711yescharacteristic
1256C22×C4C23×D1711yescharacteristic
1257C22×C4C23×D1711yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—174no—
1263C4⋊C4—174no—
1264C4⋊C4—174no—
1265C4⋊C4—174no—
1266C4⋊C4—174no—
1267C4⋊C4—342no—
1268C4⋊C4—342no—
1269C4⋊C4—342no—
1270C4⋊C4—342no—
1271C4⋊C4—342no—
1272C4⋊C4—342no—
1273C4⋊C4—681no—
1274C4⋊C4—681no—
1275C4⋊C4—681no—
1276C4⋊C4—681no—
1277C4⋊C4C2×C4×D1714yescomplemented
1278C4⋊C4C2×C4×D1714yescomplemented
1279C4⋊C4C2×C4×D1714yescomplemented
1280C22⋊C4—22no—
1281C22⋊C4—174no—
1282C22⋊C4—174no—
1283C22⋊C4—174no—
1284C22⋊C4—174no—
1285C22⋊C4—174no—
1286C22⋊C4—174no—
1287C22⋊C4—174no—
1288C22⋊C4—174no—
1289C22⋊C4—174no—
1290C22⋊C4—174no—
1291C22⋊C4—174no—
1292C22⋊C4—174no—
1293C22⋊C4—174no—
1294C22⋊C4—342no—
1295C22⋊C4—342no—
1296C22⋊C4—342no—
1297C22⋊C4—342no—
1298C22⋊C4—342no—
1299C22⋊C4—342no—
1300C22⋊C4—342no—
1301C22⋊C4—342no—
1302C22⋊C4—342no—
1303C22⋊C4—342no—
1304C22⋊C4—342no—
1305C22⋊C4—342no—
1306C22⋊C4—342no—
1307C22⋊C4—681no—
1308C22⋊C4—681no—
1309C22⋊C4—681no—
1310C22⋊C4—681no—
1311C22⋊C4C2×C4×D1714yes—
1312C22⋊C4C2×C4×D1714yes—
1313C22⋊C4#6325614yes—
1314C42—22no—
1315C42—22no—
1316C42—41no—
1317C42—41no—
1318C42—41no—
1319C42—41no—
1320C42—174no—
1321C42—174no—
1322C42—174no—
1323C42—342no—
1324C42—342no—
1325C42—342no—
1326C42—342no—
1327C42—342no—
1328C42—342no—
1329C42—342no—
1330C42—342no—
1331C42—342no—
1332C42—342no—
1333C42—342no—
1334C42—342no—
1335C42—342no—
1336C42—342no—
1337C42—342no—
1338C42—342no—
1339C42—342no—
1340C42—342no—
1341C42—342no—
1342C42—681no—
1343C42—681no—
1344C42—681no—
1345C42—681no—
1346C42—681no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—172no—
1352C23—172no—
1353C23—172no—
1354C23—172no—
1355C23—172no—
1356C23—348no—
1357C23—341no—
1358C23—341no—
1359C23—341no—
1360C23—341no—
1361C23—348no—
1362C23—341no—
1363C23—341no—
1364C23—341no—
1365C23—341no—
1366C23—341no—
1367C23—341no—
1368C23—341no—
1369C23—341no—
1370C23—341no—
1371C23—341no—
1372C23—341no—
1373C23—341no—
1374C23—684no—
1375C23—684no—
1376C23—684no—
1377C23—684no—
1378C23—684no—
1379C23C22×C4×D1712yes—
1380C23C2×#6325612yes—
1381C23#41×D1712yes—
1382C23C24×D1711yescharacteristic
1383Q8—44no—
1384D4—348no—
1385D4—348no—
1386D4—684no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—172no—
1423C2×C4—172no—
1424C2×C4—172no—
1425C2×C4—172no—
1426C2×C4—172no—
1427C2×C4—172no—
1428C2×C4—172no—
1429C2×C4—172no—
1430C2×C4—172no—
1431C2×C4—172no—
1432C2×C4—348no—
1433C2×C4—348no—
1434C2×C4—348no—
1435C2×C4—348no—
1436C2×C4—341no—
1437C2×C4—341no—
1438C2×C4—341no—
1439C2×C4—341no—
1440C2×C4—341no—
1441C2×C4—341no—
1442C2×C4—341no—
1443C2×C4—341no—
1444C2×C4—341no—
1445C2×C4—341no—
1446C2×C4—341no—
1447C2×C4—341no—
1448C2×C4—341no—
1449C2×C4—341no—
1450C2×C4—341no—
1451C2×C4—341no—
1452C2×C4—341no—
1453C2×C4—341no—
1454C2×C4—341no—
1455C2×C4—341no—
1456C2×C4—341no—
1457C2×C4—341no—
1458C2×C4—341no—
1459C2×C4—341no—
1460C2×C4—341no—
1461C2×C4—341no—
1462C2×C4—341no—
1463C2×C4—341no—
1464C2×C4—341no—
1465C2×C4—684no—
1466C2×C4—684no—
1467C2×C4—684no—
1468C2×C4—684no—
1469C2×C4—684no—
1470C2×C4—684no—
1471C2×C4—684no—
1472C2×C4—684no—
1473C2×C4—684no—
1474C2×C4—684no—
1475C2×C4C22×C4×D1712yes—
1476C2×C4C22×C4×D1712yes—
1477C2×C4C22×C4×D1712yes—
1478C2×C4C22×C4×D1712yes—
1479C2×C4C22×C4×D1712yes—
1480C2×C4C22×C4×D1712yes—
1481C2×C4C2×#6325612yes—
1482C2×C4C2×#6325612yes—
1483C2×C4#41×D1712yes—
1484C2×C4#41×D1712yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—174no—
1492C22—342no—
1493C22—342no—
1494C22—342no—
1495C22—342no—
1496C22—342no—
1497C22—342no—
1498C22—342no—
1499C22—342no—
1500C22—342no—
1501C22—342no—
1502C22—342no—
1503C22—342no—
1504C22—6816no—
1505C22—681no—
1506C22—681no—
1507C22—681no—
1508C22—681no—
1509C22—681no—
1510C22—681no—
1511C22—681no—
1512C22—681no—
1513C22C4×#6325614yes—
1514C22C23×C4×D1711yescharacteristic
1515C22C2×#41×D1711yescharacteristic
1516C22C2×#41×D1711yescharacteristic
1517C22C2×#41×D1711yescharacteristic
1518C22C22×#6325611yescharacteristic
1519C22H(5,𝔽2)×D1711yescharacteristic
1520C22#1176364411yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—174no—
1536C4—342no—
1537C4—342no—
1538C4—342no—
1539C4—342no—
1540C4—342no—
1541C4—342no—
1542C4—342no—
1543C4—681no—
1544C4—681no—
1545C4—681no—
1546C4—681no—
1547C4—681no—
1548C2—24no—
1549C2—344no—
1550C2—682no—
1551C2—682no—
1552C2C4×#41×D1711yescharacteristic
1553C2C2×C4×#6325611yescharacteristic
1554C2#1454198811yescharacteristic
1555C2D17×#55111yescharacteristic
1556C2#1454233911yescharacteristic
1557C2#1454235011yescharacteristic
1558C2#1454239511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2368C2
socle, cosocleC23×C17C25
prime radicalC2×#10587568C22
hypercenter#2368D17
hypocenterC17C4×#551
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2368

Complements

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

NH ≅ G/Ntype
2. #14531913C2semidirect
3. #14531903C2semidirect
4. #14531898C2semidirect
5. #14531895C2semidirect
6. #14531863C2semidirect
7. #14531783C2semidirect
8. #14531778C2semidirect
10. #14531723C2semidirect
11. #14531720C2semidirect
12. #14531643C2semidirect
13. #14531642C2semidirect
14. #14531636C2semidirect
15. #14531631C2semidirect
16. #14531334C2semidirect
17. #14531334C2semidirect
18. #14531327C2semidirect
19. #14531322C2semidirect
20. C22⋊Q8×Dic17C2semidirect
21. #14531305C2semidirect
22. #14531305C2semidirect
23. #14531303C2semidirect
25. C4×#10587579C2semidirect
26. C4×#10587567C2semidirect
27. C4×#10587578C2semidirect
28. C4×#10587563C2semidirect
29. C2×#11762656C2semidirect
30. C4×C22⋊C4×D17C2semidirect
31. C17×#2368C2semidirect
33. #11763486C4semidirect
42. C2×Q8×Dic17C22semidirect
62. C2×C42×D17C22semidirect
63. #11762716C22semidirect
65. #11762708C22semidirect
66. #11762707C22semidirect
72. #11762701C22semidirect
73. #11762701C22semidirect
74. #11762701C22semidirect
78. #11762700C22semidirect
81. #11762699C22semidirect
82. #11762699C22semidirect
83. #11762696C22semidirect
84. #11762696C22semidirect
85. #11762696C22semidirect
86. #11762696C22semidirect
87. #11762695C22semidirect
88. #11762695C22semidirect
89. #11762694C22semidirect
90. #11762694C22semidirect
91. #11762692C22semidirect
92. #11762692C22semidirect
93. #11762690C22semidirect
94. #11762690C22semidirect
106. #11762683C22semidirect
109. #11762676C22semidirect
110. #11762676C22semidirect
111. #11762674C22semidirect
113. #11762671C22semidirect
118. C4⋊C4×Dic17C22semidirect
119. C4⋊C4×Dic17C22semidirect
120. C4⋊C4×Dic17C22semidirect
121. C4⋊C4×Dic17C22semidirect
122. C4⋊C4×Dic17C22semidirect
123. C4⋊C4×Dic17C22semidirect
124. C4×#63225C22semidirect
125. C4×#63225C22semidirect
126. C4×#63225C22semidirect
127. C4×C4⋊Dic17C22semidirect
128. #11762660C22semidirect
129. #11762660C22semidirect
130. #11762660C22semidirect
131. #11762660C22semidirect
141. C4×#63227C22semidirect
142. C4×#63227C22semidirect
158. #11762656C22semidirect
159. #11762656C22semidirect
160. #11762656C22semidirect
161. #11762656C22semidirect
162. #11762656C22semidirect
163. #11762654C22semidirect
164. #11762654C22semidirect
165. #11762654C22semidirect
166. #11762654C22semidirect
170. C42×Dic17C22semidirect
171. C42×Dic17C22semidirect
172. C42×Dic17C22semidirect
174. C17×#391C22semidirect
175. C17×#391C22semidirect
176. C17×#387C22semidirect
177. C17×#387C22semidirect
178. C17×#387C22semidirect
179. C17×#387C22semidirect
182. C4×C4⋊C4×C17C22semidirect
183. C4×C4⋊C4×C17C22semidirect
213. C17×C22⋊Q8C2×C4semidirect
234. #10587633C2×C4semidirect
235. #10587632C2×C4semidirect
237. C4×C22⋊D17C2×C4semidirect
239. C2×#63227C2×C4semidirect
311. #10587584C2×C4semidirect
312. #10587584C2×C4semidirect
313. #10587580C2×C4semidirect
314. #10587580C2×C4semidirect
317. #10587579C2×C4semidirect
319. #10587578C2×C4semidirect
320. #10587572C2×C4semidirect
325. C22⋊C4×D17C2×C4semidirect
327. #10587563C2×C4semidirect
389. C2×Q8×C17C22×C4semidirect
476. C2×C4×D17C22×C4semidirect
482. C4⋊C4×C17C22×C4semidirect
483. C4⋊C4×C17C22×C4semidirect
484. C4⋊C4×C17C22×C4semidirect
521. #63227C22×C4semidirect
522. #63227C22×C4semidirect
523. #63227C22×C4semidirect
531. C4⋊Dic17C22×C4semidirect
532. C4⋊Dic17C22×C4semidirect
537. #63225C22×C4semidirect
538. #63225C22×C4semidirect
539. #63225C22×C4semidirect
564. C4×Dic17C22×C4semidirect
565. C4×Dic17C22×C4semidirect
566. C4×Dic17C22×C4semidirect
712. #2368D17semidirect
799. Dic17#551semidirect
833. #391C2×D17semidirect
834. #391C2×D17semidirect
866. #387C2×D17semidirect
867. #387C2×D17semidirect
868. #387C2×D17semidirect
869. #387C2×D17semidirect
909. C4×C4⋊C4C2×D17semidirect
910. C4×C4⋊C4C2×D17semidirect
999. C22⋊Q8C4×D17semidirect
1155. C17C4×#551semidirect
1169. C2×Q8C2×C4×D17semidirect
1277. C4⋊C4C2×C4×D17semidirect
1278. C4⋊C4C2×C4×D17semidirect
1279. C4⋊C4C2×C4×D17semidirect

Maximal subgroups

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

subgroupindex
C2×#117634862
#145319132
#145319032
#145318982
#145318952
#145318632
#145317832
#145317782
#145317662
#145317232
#145317202
#145316432
#145316422
#145316362
#145316312
#145313342
#145313272
#145313222
C22⋊Q8×Dic172
#145313052
#145313032
#145312852
C4×#105875792
C4×#105875672
C4×#105875782
C4×#105875632
C2×#117626562
C4×C22⋊C4×D172
C17×#23682
C4×#55117