Finite Group Databasebeta

← #17197681

Subgroups — #17197681

Order 4352.

2874 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763373C211yesmaximal, characteristic
2#14531959C211yesmaximal, characteristic, complemented
3#14531956C211yesmaximal, characteristic, complemented
4#14531943C211yesmaximal, characteristic, complemented
5#14531938C211yesmaximal, characteristic, complemented
6#14531895C211yesmaximal, characteristic, complemented
7#14531847C211yesmaximal, characteristic, complemented
8#14531834C211yesmaximal, characteristic, complemented
9#14531831C211yesmaximal, characteristic, complemented
10#14531764C211yesmaximal, characteristic, complemented
11#14531764C211yesmaximal, characteristic, complemented
12#14531761C211yesmaximal, characteristic, complemented
13#14531761C211yesmaximal, characteristic, complemented
14#14531646C211yesmaximal, characteristic, complemented
15#14531640C211yesmaximal, characteristic, complemented
16#14531614C211yesmaximal, characteristic, complemented
17#14531596C211yesmaximal, characteristic, complemented
18#14531596C211yesmaximal, characteristic, complemented
19#14531549C211yesmaximal, characteristic, complemented
20#14531546C211yesmaximal, characteristic, complemented
21#14531505C211yesmaximal, characteristic, complemented
22#14531505C211yesmaximal, characteristic, complemented
23#14531487C211yesmaximal, characteristic, complemented
24#14531484C211yesmaximal, characteristic, complemented
25#14531447C211yesmaximal, characteristic, complemented
26#14531438C211yesmaximal, characteristic, complemented
27#14531361C211yesmaximal, characteristic, complemented
28#14531289C211yesmaximal, characteristic, complemented
29C4×#10587623C211yesmaximal, characteristic, complemented
30C2×#11762687C211yesmaximal, characteristic, complemented
31C17×#2339C211yesmaximal, characteristic, complemented
32C23×D68C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34#11763373C4116yescomplemented
35C2×#10587626C2211yescharacteristic
36C2×#10587626C2211yescharacteristic
37C2×#10587633C2211yescharacteristic
38C2×#10587633C2211yescharacteristic
39C2×#10587616C2211yescharacteristic
40C2×#10587616C2211yescharacteristic
41C2×#10587616C2211yescharacteristic
42C2×#10587616C2211yescharacteristic
43C2×#10587623C2211yescharacteristic
44C2×#10587623C2211yescharacteristic
45C2×#10587623C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×D4×Dic17C2211yescharacteristic
48C2×D4×Dic17C2211yescharacteristic
49C2×C4×C22⋊D17C2211yescharacteristic, complemented
50C2×C4×C22⋊D17C2211yescharacteristic, complemented
51C2×C4×C22⋊D17C2211yescharacteristic, complemented
52C2×C4×C22⋊D17C2211yescharacteristic, complemented
53C2×#10587567C2211yescharacteristic, complemented
54C2×#10587567C2211yescharacteristic, complemented
55C2×#10587567C2211yescharacteristic, complemented
56C2×#10587567C2211yescharacteristic, complemented
57C2×#10587612C2211yescharacteristic
58C22×#63227C2211yescharacteristic
59C22×#63227C2211yescharacteristic
60C22×#63227C2211yescharacteristic
61C2×C22⋊C4×D17C2211yescharacteristic
62C2×C22⋊C4×D17C2211yescharacteristic
63#11762716C2211yescharacteristic, complemented
64#11762716C2211yescharacteristic, complemented
65#11762709C2211yescharacteristic, complemented
66#11762709C2211yescharacteristic, complemented
67#11762709C2211yescharacteristic, complemented
68#11762709C2211yescharacteristic, complemented
69#11762709C2211yescharacteristic, complemented
70#11762709C2211yescharacteristic, complemented
71#11762709C2211yescharacteristic, complemented
72#11762709C2211yescharacteristic, complemented
73#11762701C2211yescharacteristic, complemented
74#11762701C2211yescharacteristic, complemented
75#11762701C2211yescharacteristic, complemented
76#11762701C2211yescharacteristic, complemented
77#11762700C2211yescharacteristic, complemented
78#11762700C2211yescharacteristic, complemented
79#11762700C2211yescharacteristic, complemented
80#11762700C2211yescharacteristic, complemented
81#11762699C2211yescharacteristic, complemented
82#11762699C2211yescharacteristic, complemented
83#11762699C2211yescharacteristic, complemented
84#11762699C2211yescharacteristic, complemented
85#11762698C2211yescharacteristic, complemented
86#11762698C2211yescharacteristic, complemented
87#11762698C2211yescharacteristic, complemented
88#11762698C2211yescharacteristic, complemented
89#11762694C2211yescharacteristic, complemented
90#11762694C2211yescharacteristic, complemented
91#11762694C2211yescharacteristic, complemented
92#11762694C2211yescharacteristic, complemented
93#11762692C2211yescharacteristic, complemented
94#11762692C2211yescharacteristic, complemented
95#11762692C2211yescharacteristic, complemented
96#11762692C2211yescharacteristic, complemented
97#11762689C2211yescharacteristic
98#11762689C2211yescharacteristic
99#11762689C2211yescharacteristic, complemented
100#11762689C2211yescharacteristic, complemented
101#11762688C2211yescharacteristic, complemented
102#11762688C2211yescharacteristic, complemented
103#11762688C2211yescharacteristic, complemented
104#11762688C2211yescharacteristic, complemented
105#11762687C2211yescharacteristic
106#11762687C2211yescharacteristic
107#11762687C2211yescharacteristic
108#11762687C2211yescharacteristic
109#11762687C2211yescharacteristic
110#11762687C2211yescharacteristic
111#11762687C2211yescharacteristic
112#11762687C2211yescharacteristic
113#11762687C2211yescharacteristic
114#11762687C2211yescharacteristic
115#11762687C2211yescharacteristic
116#11762687C2211yescharacteristic
117#11762687C2211yescharacteristic
118#11762687C2211yescharacteristic
119#11762687C2211yescharacteristic
120#11762687C2211yescharacteristic
121#11762686C2211yescharacteristic, complemented
122#11762686C2211yescharacteristic, complemented
123#11762686C2211yescharacteristic, complemented
124#11762686C2211yescharacteristic, complemented
125#11762685C2211yescharacteristic, complemented
126#11762685C2211yescharacteristic, complemented
127#11762685C2211yescharacteristic, complemented
128#11762685C2211yescharacteristic, complemented
129#11762685C2211yescharacteristic, complemented
130#11762685C2211yescharacteristic, complemented
131#11762685C2211yescharacteristic, complemented
132#11762685C2211yescharacteristic, complemented
133#11762683C2211yescharacteristic, complemented
134#11762683C2211yescharacteristic, complemented
135#11762683C2211yescharacteristic, complemented
136#11762683C2211yescharacteristic, complemented
137#11762682C2211yescharacteristic
138#11762682C2211yescharacteristic
139#11762681C2211yescharacteristic
140#11762681C2211yescharacteristic
141#11762680C2211yescharacteristic, complemented
142#11762680C2211yescharacteristic, complemented
143#11762680C2211yescharacteristic, complemented
144#11762680C2211yescharacteristic, complemented
145#11762676C2211yescharacteristic, complemented
146#11762676C2211yescharacteristic, complemented
147#11762673C2211yescharacteristic, complemented
148#11762673C2211yescharacteristic, complemented
149#11762672C2211yescharacteristic
150#11762672C2211yescharacteristic, complemented
151#11762669C2211yescharacteristic, complemented
152#11762664C2211yescharacteristic
153#11762664C2211yescharacteristic
154#11762660C2211yescharacteristic, complemented
155#11762660C2211yescharacteristic, complemented
156C22⋊C4×Dic17C2211yescharacteristic
157C22⋊C4×Dic17C2211yescharacteristic
158C4×#63227C2211yescharacteristic, complemented
159C4×#63227C2211yescharacteristic, complemented
160C4×#63227C2211yescharacteristic, complemented
161C4×#63227C2211yescharacteristic, complemented
162C4×C22⋊Dic17C2211yescharacteristic
163C4×C22⋊Dic17C2211yescharacteristic
164C4×C22⋊Dic17C2211yescharacteristic, complemented
165#11762656C2211yescharacteristic, complemented
166#11762656C2211yescharacteristic, complemented
167#11762656C2211yescharacteristic, complemented
168#11762656C2211yescharacteristic, complemented
169#11762654C2211yescharacteristic, complemented
170#11762654C2211yescharacteristic, complemented
171C2×#10587502C2211yescharacteristic
172C2×#10587502C2211yescharacteristic, complemented
173C22×#41×C17C2211yescharacteristic
174C2×C4×D4×C17C2211yescharacteristic
175C2×C4×D4×C17C2211yescharacteristic
176C17×#391C2211yescharacteristic, complemented
177C17×#391C2211yescharacteristic, complemented
178C17×#386C2211yescharacteristic
179C17×#386C2211yescharacteristic
180C17×#386C2211yescharacteristic, complemented
181C17×#386C2211yescharacteristic, complemented
182C17×#381C2211yescharacteristic
183C17×#381C2211yescharacteristic, complemented
184C17×#380C2211yescharacteristic, complemented
185C4×C22⋊C4×C17C2211yescharacteristic, complemented
186C2×C17×#95C2211yescharacteristic
187C2×C17×#95C2211yescharacteristic, complemented
188C24×D17C2311yescharacteristic
189C24×D17C2311yescharacteristic
190C2×#41×C17—42no—
191C2×#41×C17—42no—
192C2×#41×C17C2×C418yescomplemented
193C22×Q8×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C23×C4×C17C2311yescharacteristic
203C23×C4×C17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C23×Dic17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C23×Dic17C2311yescharacteristic
216C22×D68—42no—
217C22×D68—42no—
218C22×D68C2×C418yescomplemented
219C22×D68C2311yescharacteristic
220C22×D68C2311yescharacteristic
221C22×D68C2311yescharacteristic
222C22×D68C2311yescharacteristic
223C22×C4×D17—42no—
224C22×C4×D17—42no—
225C22×C4×D17—42no—
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C22×C4×D17C2311yescharacteristic
230C22×C4×D17C2311yescharacteristic
231C22×C4×D17C2311yescharacteristic
232C22×C4×D17C2311yescharacteristic
233C22×C4×D17C2311yescharacteristic
234C4×D4×C17—42no—
235C4×D4×C17—42no—
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
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×C42×C17C2311yescharacteristic
247C2×C42×C17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258#10587633C2×C418yescomplemented
259#10587633C2×C418yescomplemented
260#10587626C2×C418yescomplemented
261#10587626C2×C418yescomplemented
262#10587623C2×C418yescomplemented
263#10587623C2×C418yescomplemented
264#10587623C2×C418yescomplemented
265#10587623C2×C418yescomplemented
266D4×Dic17—42no—
267D4×Dic17—42no—
268#10587616C2×C418yescomplemented
269#10587616C2×C418yescomplemented
270#10587616C2×C418yescomplemented
271#10587616C2×C418yescomplemented
272C4×C22⋊D17—42no—
273C4×C22⋊D17—42no—
274C4×C22⋊D17—42no—
275C4×C22⋊D17—42no—
276C2×#63227—42no—
277C2×#63227—42no—
278C2×#63227—42no—
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×#63227C2311yescharacteristic
310C2×#63227C2311yescharacteristic
311#10587612C2×C418yescomplemented
312C2×C4⋊Dic17C2311yescharacteristic
313C2×C4⋊Dic17C2311yescharacteristic
314C2×C4⋊Dic17C2311yescharacteristic
315C2×C4⋊Dic17C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
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#10587567—42no—
337#10587567—42no—
338#10587567—42no—
339#10587567—42no—
340C22⋊C4×D17—42no—
341C22⋊C4×D17—42no—
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
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
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382C24×C17C2411yescharacteristic
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C23×D17—22no—
386C23×D17—22no—
387C23×D17—22no—
388C23×D17—22no—
389C23×D17—41no—
390C23×D17—41no—
391C23×D17—41no—
392C23×D17—41no—
393C23×D17—41no—
394C23×D17—41no—
395C23×D17—41no—
396C23×D17—41no—
397C23×D17C22×C414yes—
398C23×D17C22×C414yes—
399C23×D17C2411yescharacteristic
400C23×D17C2411yescharacteristic
401C23×D17C2411yescharacteristic
402C23×D17C2411yescharacteristic
403#41×C17—416no—
404C2×Q8×C17—41no—
405C2×Q8×C17—41no—
406C2×Q8×C17C22×C414yescomplemented
407C2×D4×C17—22no—
408C2×D4×C17—22no—
409C2×D4×C17—22no—
410C2×D4×C17—22no—
411C2×D4×C17—41no—
412C2×D4×C17—41no—
413C2×D4×C17C22×C414yes—
414C2×D4×C17C22×C414yes—
415C2×D4×C17C22×C414yescomplemented
416C22×C4×C17—22no—
417C22×C4×C17—22no—
418C22×C4×C17—22no—
419C22×C4×C17—22no—
420C22×C4×C17—22no—
421C22×C4×C17—22no—
422C22×C4×C17—41no—
423C22×C4×C17—41no—
424C22×C4×C17—41no—
425C22×C4×C17—41no—
426C22×C4×C17—41no—
427C22×C4×C17—41no—
428C22×C4×C17—41no—
429C22×C4×C17—41no—
430C22×C4×C17—41no—
431C22×C4×C17—41no—
432C22×C4×C17—41no—
433C22×C4×C17—41no—
434C22×C4×C17C22×C414yes—
435C22×C4×C17C22×C414yescomplemented
436C22×C4×C17C22×C414yescomplemented
437C22×C4×C17C2411yescharacteristic
438C22×C4×C17C2411yescharacteristic
439C22×C4×C17C2411yescharacteristic
440C22×C4×C17C2411yescharacteristic
441C22×C4×C17C2411yescharacteristic
442C22×C4×C17C2411yescharacteristic
443C22×C4×C17C2411yescharacteristic
444C22×C4×C17C2411yescharacteristic
445C22×C4×C17C2411yescharacteristic
446C22×C4×C17C2411yescharacteristic
447C22×C4×C17C2411yescharacteristic
448C22×C4×C17C2411yescharacteristic
449C2×C22⋊D17—41no—
450C2×C22⋊D17—41no—
451C2×C22⋊D17—41no—
452C2×C22⋊D17—41no—
453C2×C22⋊D17—41no—
454C2×C22⋊D17—41no—
455C2×C22⋊D17—41no—
456C2×C22⋊D17—41no—
457C2×C22⋊D17—41no—
458C2×C22⋊D17—41no—
459C2×C22⋊D17—41no—
460C2×C22⋊D17—41no—
461C2×C22⋊D17—41no—
462C2×C22⋊D17—41no—
463C2×C22⋊D17—41no—
464C2×C22⋊D17—41no—
465C2×C22⋊D17C22×C414yes—
466C2×C22⋊D17C22×C414yes—
467C2×C22⋊D17C22×C414yes—
468C2×C22⋊D17C22×C414yes—
469C2×C22⋊D17C22×C414yescomplemented
470C2×C22⋊D17C22×C414yescomplemented
471C2×C22⋊D17C22×C414yescomplemented
472C2×C22⋊D17C22×C414yescomplemented
473C22×Dic17—22no—
474C22×Dic17—22no—
475C22×Dic17—22no—
476C22×Dic17—22no—
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
497C2×D68—416no—
498C2×D68—41no—
499C2×D68—41no—
500C2×D68—41no—
501C2×D68—41no—
502C2×D68—41no—
503C2×D68—41no—
504C2×D68—41no—
505C2×D68—41no—
506C2×D68C22×C414yes—
507C2×D68C22×C414yes—
508C2×D68C22×C414yes—
509C2×D68C22×C414yes—
510C2×C4×D17—22no—
511C2×C4×D17—22no—
512C2×C4×D17—22no—
513C2×C4×D17—22no—
514C2×C4×D17—41no—
515C2×C4×D17—41no—
516C2×C4×D17—41no—
517C2×C4×D17—41no—
518C2×C4×D17—41no—
519C2×C4×D17—41no—
520C2×C4×D17—41no—
521C2×C4×D17—41no—
522C2×C4×D17—416no—
523C2×C4×D17—41no—
524C2×C4×D17—41no—
525C2×C4×D17—41no—
526C2×C4×D17—41no—
527C2×C4×D17—41no—
528C2×C4×D17—41no—
529C2×C4×D17—41no—
530C2×C4×D17—41no—
531C2×C4×D17—41no—
532C2×C4×D17—41no—
533C2×C4×D17—41no—
534C2×C4×D17—41no—
535C4⋊C4×C17—41no—
536C4⋊C4×C17—41no—
537C22⋊C4×C17—22no—
538C22⋊C4×C17—22no—
539C22⋊C4×C17—22no—
540C22⋊C4×C17—41no—
541C22⋊C4×C17—41no—
542C22⋊C4×C17—41no—
543C22⋊C4×C17—41no—
544C22⋊C4×C17—41no—
545C42×C17—41no—
546C42×C17—41no—
547C22⋊Dic17—22no—
548C22⋊Dic17—22no—
549C22⋊Dic17—22no—
550C22⋊Dic17—41no—
551C22⋊Dic17—41no—
552C22⋊Dic17—41no—
553C22⋊Dic17—41no—
554C22⋊Dic17—41no—
555C22⋊Dic17C22×C414yes—
556C22⋊Dic17C22×C414yes—
557#63227—22no—
558#63227—22no—
559#63227—22no—
560#63227—22no—
561#63227—41no—
562#63227—41no—
563#63227—41no—
564#63227—41no—
565#63227—41no—
566#63227—41no—
567#63227—41no—
568#63227—41no—
569#63227—41no—
570#63227—41no—
571#63227—41no—
572#63227—41no—
573#63227—41no—
574#63227—41no—
575#63227—41no—
576#63227—41no—
577#63227—41no—
578#63227—41no—
579#63227—41no—
580#63227—41no—
581#63227C22×C414yes—
582#63227C22×C414yes—
583#63227C22×C414yes—
584#63227C22×C414yes—
585#63227C22×C414yescomplemented
586#63227C22×C414yescomplemented
587#63227C22×C414yescomplemented
588#63227C22×C414yescomplemented
589C4⋊Dic17—41no—
590C4⋊Dic17—41no—
591C4⋊Dic17C22×C414yescomplemented
592C4⋊Dic17C22×C414yescomplemented
593#63225—22no—
594#63225—22no—
595#63225—41no—
596#63225—41no—
597#63225—41no—
598#63225—41no—
599#63225—41no—
600#63225—41no—
601C4×Dic17—22no—
602C4×Dic17—22no—
603C4×Dic17—41no—
604C4×Dic17—41no—
605C4×Dic17—41no—
606C4×Dic17—41no—
607C4×Dic17—41no—
608C4×Dic17—41no—
609C4×Dic17—41no—
610C4×Dic17—41no—
611C4×Dic17C22×C414yescomplemented
612C4×Dic17C22×C414yescomplemented
613#34406—171nomaximal, Sylow
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—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17C23×C412yes—
631C23×C17C23×C412yes—
632C23×C17C23×C412yes—
633C23×C17H(5,𝔽2)12yes—
634C23×C17H(5,𝔽2)12yes—
635C23×C17C2511yescharacteristic
636C22×D17—28no—
637C22×D17—21no—
638C22×D17—21no—
639C22×D17—21no—
640C22×D17—21no—
641C22×D17—21no—
642C22×D17—21no—
643C22×D17—21no—
644C22×D17—21no—
645C22×D17—21no—
646C22×D17—21no—
647C22×D17—21no—
648C22×D17—21no—
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—21no—
652C22×D17—21no—
653C22×D17—21no—
654C22×D17—21no—
655C22×D17—21no—
656C22×D17—21no—
657C22×D17—21no—
658C22×D17—21no—
659C22×D17—21no—
660C22×D17—21no—
661C22×D17—28no—
662C22×D17—44no—
663C22×D17—44no—
664C22×D17—44no—
665C22×D17—44no—
666C22×D17—44no—
667C22×D17—44no—
668C22×D17—44no—
669C22×D17—44no—
670C22×D17—82no—
671C22×D17—82no—
672C22×D17—82no—
673C22×D17—82no—
674C22×D17C23×C412yes—
675C22×D17C23×C412yes—
676C22×D17C23×C412yes—
677C22×D17C23×C412yes—
678Q8×C17—44no—
679D4×C17—28no—
680D4×C17—28no—
681D4×C17—44no—
682C2×C4×C17—28no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—44no—
715C2×C4×C17—44no—
716C2×C4×C17—44no—
717C2×C4×C17—82no—
718C2×C4×C17—82no—
719C2×C4×C17—82no—
720C2×C4×C17C23×C412yes—
721C2×C4×C17C23×C412yes—
722C2×C4×C17C23×C412yes—
723C2×C4×C17C23×C412yes—
724C2×C4×C17H(5,𝔽2)12yes—
725C22⋊D17—44no—
726C22⋊D17—44no—
727C22⋊D17—44no—
728C22⋊D17—44no—
729C22⋊D17—44no—
730C22⋊D17—44no—
731C22⋊D17—44no—
732C22⋊D17—44no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—21no—
749C2×Dic17—21no—
750C2×Dic17—21no—
751C2×Dic17—21no—
752C2×Dic17—21no—
753C2×Dic17—21no—
754C2×Dic17—21no—
755C2×Dic17—21no—
756C2×Dic17—21no—
757C2×Dic17—21no—
758C2×Dic17—21no—
759C2×Dic17—21no—
760C2×Dic17—21no—
761C2×Dic17—21no—
762C2×Dic17—21no—
763C2×Dic17—21no—
764C2×Dic17—44no—
765C2×Dic17—82no—
766C2×Dic17—82no—
767C2×Dic17—82no—
768C2×Dic17C23×C412yes—
769C2×Dic17C23×C412yes—
770C2×Dic17C23×C412yes—
771C2×Dic17C23×C412yes—
772C2×Dic17H(5,𝔽2)12yes—
773D68—44no—
774D68—44no—
775D68—44no—
776D68—44no—
777C4×D17—44no—
778C4×D17—44no—
779C4×D17—44no—
780C4×D17—44no—
781C4×D17—82no—
782C4×D17—82no—
783C4×D17—82no—
784C4×D17—82no—
785C2×#535—171no—
786#2380—171no—
787#2379—171no—
788#2377—171no—
789#2377—171no—
790#2372—171no—
791#2366—171no—
792#2364—171no—
793#2364—171no—
794#2358—171no—
795#2358—171no—
796#2358—171no—
797#2358—171no—
798#2343—171no—
799#2343—171no—
800#2339—171no—
801#2339D1711yescharacteristic, complemented
802#2337—171no—
803#2337—171no—
804#2333—171no—
805#2333—171no—
806#2328—171no—
807#2328—171no—
808#2325—171no—
809#2325—171no—
810#2321—171no—
811#2321—171no—
812#2308—171no—
813C4×#120—171no—
814C4×#120—171no—
815C2×#386—171no—
816C22×C17—22no—
817C22×C17—22no—
818C22×C17—22no—
819C22×C17—22no—
820C22×C17—22no—
821C22×C17—22no—
822C22×C17—22no—
823C22×C17—22no—
824C22×C17—22no—
825C22×C17—22no—
826C22×C17—22no—
827C22×C17—22no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17#51814yes—
837C22×C17C24×C411yescharacteristic
838C22×C17C2×H(5,𝔽2)11yescharacteristic
839C22×C17C2×H(5,𝔽2)11yescharacteristic
840C22×C17C2×H(5,𝔽2)11yescharacteristic
841C22×C17C2×H(5,𝔽2)11yescharacteristic
842C22×C17#58511yescharacteristic
843C22×C17#58511yescharacteristic
844C2×D17—22no—
845C2×D17—22no—
846C2×D17—22no—
847C2×D17—22no—
848C2×D17—22no—
849C2×D17—22no—
850C2×D17—22no—
851C2×D17—22no—
852C2×D17—22no—
853C2×D17—22no—
854C2×D17—22no—
855C2×D17—22no—
856C2×D17—416no—
857C2×D17—41no—
858C2×D17—41no—
859C2×D17—41no—
860C2×D17—41no—
861C2×D17—41no—
862C2×D17—41no—
863C2×D17—41no—
864C2×D17—41no—
865C2×D17—41no—
866C2×D17—41no—
867C2×D17—41no—
868C2×D17—41no—
869C2×D17—41no—
870C2×D17—41no—
871C2×D17—41no—
872C2×D17—41no—
873C2×D17—88no—
874C4×C17—22no—
875C4×C17—22no—
876C4×C17—22no—
877C4×C17—22no—
878C4×C17—22no—
879C4×C17—41no—
880C4×C17—41no—
881C4×C17—41no—
882C4×C17—41no—
883C4×C17—41no—
884C4×C17—41no—
885C4×C17—41no—
886Dic17—22no—
887Dic17—22no—
888Dic17—22no—
889Dic17—22no—
890Dic17—22no—
891Dic17—41no—
892Dic17—41no—
893Dic17—41no—
894Dic17—41no—
895Dic17—41no—
896Dic17—41no—
897Dic17—41no—
898C22×#41C2×D1711yescharacteristic
899C23×D4—171no—
900C24×C4—171no—
901#535—1716no—
902C2×#127—171no—
903C2×#127—171no—
904C2×#124—171no—
905C2×#124—171no—
906C2×#121—171no—
907C2×#121—171no—
908C2×#121—171no—
909C2×#121—171no—
910C2×#120—171no—
911C2×#120—171no—
912C2×#120—171no—
913C2×#120—171no—
914C2×C4×D4—171no—
915C2×C4×D4—171no—
916C2×C4×D4—171no—
917C2×C4×D4—171no—
918C2×C4×D4—171no—
919C2×C4×D4—171no—
920C2×C4×D4—171no—
921C2×C4×D4—171no—
922C2×C4×D4—171no—
923C2×C4×D4—171no—
924C2×C4×D4C2×D1711yescharacteristic
925C2×C4×D4C2×D1711yescharacteristic
926C2×#117—171no—
927C22×C22⋊C4—171no—
928C22×C22⋊C4—171no—
929C22×C22⋊C4—171no—
930C22×C22⋊C4—171no—
931C22×C22⋊C4—171no—
932#391—171no—
933#391—171no—
934#391C2×D1711yescharacteristic, complemented
935#391C2×D1711yescharacteristic, complemented
936#390—171no—
937#390—171no—
938#390—171no—
939#390—171no—
940#390—171no—
941#390—171no—
942#390—171no—
943#390—171no—
944#388—171no—
945#388—171no—
946#388—171no—
947#388—171no—
948#388—171no—
949#388—171no—
950#388—171no—
951#388—171no—
952#388—171no—
953#388—171no—
954#388—171no—
955#388—171no—
956#388—171no—
957#388—171no—
958#388—171no—
959#388—171no—
960#387—171no—
961#387—171no—
962#387—171no—
963#387—171no—
964#387—171no—
965#387—171no—
966#387—171no—
967#387—171no—
968#386—171no—
969#386—171no—
970#386—171no—
971#386—171no—
972#386—171no—
973#386—171no—
974#386—171no—
975#386—171no—
976#386—171no—
977#386—171no—
978#386—171no—
979#386—171no—
980#386—171no—
981#386—171no—
982#386—171no—
983#386—171no—
984#386—171no—
985#386—171no—
986#386—171no—
987#386—171no—
988#386—171no—
989#386—171no—
990#386—171no—
991#386—171no—
992#386—171no—
993#386—171no—
994#386—171no—
995#386—171no—
996#386—171no—
997#386—171no—
998#386—171no—
999#386—171no—
1000#386—171no—
1001#386—171no—
1002#386—171no—
1003#386—171no—
1004#386C2×D1711yescharacteristic
1005#386C2×D1711yescharacteristic
1006#386C2×D1711yescharacteristic, complemented
1007#386C2×D1711yescharacteristic, complemented
1008#385—171no—
1009#385—171no—
1010#385—171no—
1011#385—171no—
1012#385—171no—
1013#385—171no—
1014#385—171no—
1015#385—171no—
1016#385—171no—
1017#385—171no—
1018#385—171no—
1019#385—171no—
1020#383—171no—
1021#383—171no—
1022#382—171no—
1023#382—171no—
1024#381—171no—
1025#381—171no—
1026#381C2×D1711yescharacteristic
1027#381C2×D1711yescharacteristic, complemented
1028#380—171no—
1029#380C2×D1711yescharacteristic, complemented
1030#379—171no—
1031#379—171no—
1032C4×C4⋊C4—171no—
1033C4×C4⋊C4—171no—
1034C4×C22⋊C4—171no—
1035C4×C22⋊C4—171no—
1036C4×C22⋊C4—171no—
1037C4×C22⋊C4—171no—
1038C4×C22⋊C4—171no—
1039C4×C22⋊C4—171no—
1040C4×C22⋊C4—171no—
1041C4×C22⋊C4—171no—
1042C4×C22⋊C4—171no—
1043C4×C22⋊C4—171no—
1044C4×C22⋊C4—171no—
1045C4×C22⋊C4—171no—
1046C4×C22⋊C4—171no—
1047C4×C22⋊C4C2×D1711yescharacteristic, complemented
1048#376—171no—
1049#376—171no—
1050C2×#95—171no—
1051C2×#95—171no—
1052C2×#95C2×D1711yescharacteristic
1053C2×#95C2×D1711yescharacteristic, complemented
1054C2×C17—24no—
1055C2×C17—42no—
1056C2×C17—42no—
1057C2×C17C2×#51811yescharacteristic
1058C2×C17C4×H(5,𝔽2)11yescharacteristic
1059C2×C17C4×H(5,𝔽2)11yescharacteristic
1060C2×C17#353211yescharacteristic
1061C2×C17#353311yescharacteristic
1062C2×C17#354211yescharacteristic
1063C2×C17#354211yescharacteristic
1064D17—42no—
1065D17—42no—
1066D17—42no—
1067D17—42no—
1068C25—171no—
1069C25—171no—
1070C2×#41—42no—
1071C2×#41—42no—
1072C2×#41C4×D1718yescomplemented
1073C22×Q8C22×D1711yescharacteristic
1074C22×D4—171no—
1075C22×D4—171no—
1076C22×D4—171no—
1077C22×D4—171no—
1078C22×D4—171no—
1079C22×D4—171no—
1080C22×D4—171no—
1081C22×D4—171no—
1082C22×D4—178no—
1083C22×D4—171no—
1084C22×D4—171no—
1085C22×D4—171no—
1086C22×D4—171no—
1087C22×D4—682no—
1088C22×D4—682no—
1089C22×D4C22×D1711yescharacteristic
1090C22×D4C22×D1711yescharacteristic
1091C22×D4C22×D1711yescharacteristic
1092C23×C4—171no—
1093C23×C4—171no—
1094C23×C4—171no—
1095C23×C4—171no—
1096C23×C4—171no—
1097C23×C4—171no—
1098C23×C4—171no—
1099C23×C4—171no—
1100C23×C4—171no—
1101C23×C4—171no—
1102C23×C4—171no—
1103C23×C4—171no—
1104C23×C4—682no—
1105C23×C4—682no—
1106C23×C4—682no—
1107C23×C4C22×D1711yescharacteristic
1108C23×C4C22×D1711yescharacteristic
1109C23×C4C22×D1711yescharacteristic
1110C23×C4C22×D1711yescharacteristic
1111C23×C4C22×D1711yescharacteristic
1112C23×C4C22×D1711yescharacteristic
1113C23×C4C22×D1711yescharacteristic
1114#127—178no—
1115#127—178no—
1116#124—178no—
1117#124—178no—
1118#121—178no—
1119#121—178no—
1120#121—178no—
1121#121—178no—
1122#120—178no—
1123#120—178no—
1124#120—178no—
1125#120—178no—
1126C4×D4—42no—
1127C4×D4—42no—
1128C4×D4—682no—
1129C4×D4—682no—
1130C4×D4—682no—
1131C4×D4—682no—
1132C4×D4—682no—
1133C4×D4—682no—
1134C4×D4—682no—
1135C4×D4—682no—
1136C4×D4—682no—
1137C4×D4—682no—
1138#117—178no—
1139C2×C4⋊C4—171no—
1140C2×C4⋊C4—171no—
1141C2×C4⋊C4—171no—
1142C2×C4⋊C4—171no—
1143C2×C4⋊C4—171no—
1144C2×C4⋊C4—171no—
1145C2×C4⋊C4—171no—
1146C2×C4⋊C4—171no—
1147C2×C4⋊C4—171no—
1148C2×C4⋊C4—171no—
1149C2×C4⋊C4—171no—
1150C2×C4⋊C4—171no—
1151C2×C4⋊C4C22×D1711yescharacteristic
1152C2×C4⋊C4C22×D1711yescharacteristic
1153C2×C22⋊C4—171no—
1154C2×C22⋊C4—171no—
1155C2×C22⋊C4—171no—
1156C2×C22⋊C4—171no—
1157C2×C22⋊C4—171no—
1158C2×C22⋊C4—171no—
1159C2×C22⋊C4—171no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4—171no—
1183C2×C22⋊C4—171no—
1184C2×C22⋊C4—171no—
1185C2×C22⋊C4—171no—
1186C2×C22⋊C4—171no—
1187C2×C22⋊C4—171no—
1188C2×C22⋊C4—171no—
1189C2×C22⋊C4—171no—
1190C2×C22⋊C4—171no—
1191C2×C22⋊C4—171no—
1192C2×C22⋊C4—171no—
1193C2×C22⋊C4—171no—
1194C2×C22⋊C4—171no—
1195C2×C22⋊C4—682no—
1196C2×C22⋊C4—682no—
1197C2×C22⋊C4—682no—
1198C2×C22⋊C4—682no—
1199C2×C22⋊C4—682no—
1200C2×C22⋊C4C22×D1711yescharacteristic
1201C2×C22⋊C4C22×D1711yescharacteristic
1202C2×C22⋊C4C22×D1711yescharacteristic
1203C2×C22⋊C4C22×D1711yescharacteristic
1204C2×C22⋊C4C22×D1711yescharacteristic
1205C2×C22⋊C4C22×D1711yescharacteristic
1206C2×C22⋊C4C22×D1711yescharacteristic
1207C2×C22⋊C4C22×D1711yescharacteristic
1208C2×C42—171no—
1209C2×C42—171no—
1210C2×C42—171no—
1211C2×C42—171no—
1212C2×C42—171no—
1213C2×C42—171no—
1214C2×C42—171no—
1215C2×C42—171no—
1216C2×C42—171no—
1217C2×C42—171no—
1218C2×C42—171no—
1219C2×C42—171no—
1220C2×C42C22×D1711yescharacteristic
1221C2×C42C22×D1711yescharacteristic
1222#95—171no—
1223#95—171no—
1224#95—171no—
1225#95—171no—
1226#95—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95—171no—
1239#95—171no—
1240#95—171no—
1241#95—171no—
1242#95—171no—
1243#95—171no—
1244#95—171no—
1245#95—171no—
1246#95—171no—
1247#95—171no—
1248#95—171no—
1249#95—171no—
1250#95C22×D1711yescharacteristic
1251#95C22×D1711yescharacteristic
1252#95C22×D1711yescharacteristic
1253#95C22×D1711yescharacteristic
1254#95C22×D1711yescharacteristic
1255#95C22×D1711yescharacteristic
1256#95C22×D1711yescharacteristic
1257#95C22×D1711yescharacteristic
1258#95C22×D1711yescharacteristic
1259#95C22×D1711yescharacteristic
1260#95C22×D1711yescharacteristic
1261#95C22×D1711yescharacteristic
1262C17#3440611yescharacteristic, complemented, Sylow
1263C24—171no—
1264C24—171no—
1265C24—171no—
1266C24—171no—
1267C24—174no—
1268C24—174no—
1269C24—342no—
1270C24—342no—
1271C24—342no—
1272C24—342no—
1273C24—681no—
1274C24—681no—
1275C24—681no—
1276C24—681no—
1277C24—681no—
1278C24—681no—
1279C24—681no—
1280C24—681no—
1281C24C23×D1711yescharacteristic
1282C24C23×D1711yescharacteristic
1283C24C23×D1711yescharacteristic
1284#41—416no—
1285C2×Q8—41no—
1286C2×Q8—41no—
1287C2×Q8C2×C4×D1714yescomplemented
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—174no—
1295C2×D4—174no—
1296C2×D4—174no—
1297C2×D4—174no—
1298C2×D4—174no—
1299C2×D4—174no—
1300C2×D4—174no—
1301C2×D4—174no—
1302C2×D4—174no—
1303C2×D4—174no—
1304C2×D4—174no—
1305C2×D4—174no—
1306C2×D4—6816no—
1307C2×D4—681no—
1308C2×D4—681no—
1309C2×D4—681no—
1310C2×D4—681no—
1311C2×D4—681no—
1312C2×D4—681no—
1313C2×D4—681no—
1314C2×D4—681no—
1315C2×D4—681no—
1316C2×D4—681no—
1317C2×D4—681no—
1318C2×D4—681no—
1319C2×D4—681no—
1320C2×D4—681no—
1321C2×D4—681no—
1322C2×D4—681no—
1323C2×D4—681no—
1324C2×D4—681no—
1325C2×D4—681no—
1326C2×D4—681no—
1327C2×D4—681no—
1328C2×D4—681no—
1329C2×D4—681no—
1330C2×D4—681no—
1331C2×D4C2×C4×D1714yes—
1332C2×D4C2×C4×D1714yes—
1333C2×D4C2×C4×D1714yescomplemented
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—171no—
1353C22×C4—171no—
1354C22×C4—171no—
1355C22×C4—171no—
1356C22×C4—171no—
1357C22×C4—171no—
1358C22×C4—171no—
1359C22×C4—171no—
1360C22×C4—171no—
1361C22×C4—171no—
1362C22×C4—171no—
1363C22×C4—171no—
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—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—6816no—
1393C22×C4—681no—
1394C22×C4—681no—
1395C22×C4—681no—
1396C22×C4—681no—
1397C22×C4—681no—
1398C22×C4—681no—
1399C22×C4—681no—
1400C22×C4—681no—
1401C22×C4C2×C4×D1714yes—
1402C22×C4C2×C4×D1714yescomplemented
1403C22×C4C2×C4×D1714yescomplemented
1404C22×C4C23×D1711yescharacteristic
1405C22×C4C23×D1711yescharacteristic
1406C22×C4C23×D1711yescharacteristic
1407C22×C4C23×D1711yescharacteristic
1408C22×C4C23×D1711yescharacteristic
1409C22×C4C23×D1711yescharacteristic
1410C22×C4C23×D1711yescharacteristic
1411C22×C4C23×D1711yescharacteristic
1412C22×C4C23×D1711yescharacteristic
1413C22×C4C23×D1711yescharacteristic
1414C22×C4C23×D1711yescharacteristic
1415C22×C4C23×D1711yescharacteristic
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—174no—
1419C4⋊C4—174no—
1420C4⋊C4—342no—
1421C4⋊C4—342no—
1422C4⋊C4—681no—
1423C4⋊C4—681no—
1424C4⋊C4—681no—
1425C4⋊C4—681no—
1426C4⋊C4—681no—
1427C4⋊C4—681no—
1428C4⋊C4—681no—
1429C4⋊C4—681no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—174no—
1439C22⋊C4—174no—
1440C22⋊C4—174no—
1441C22⋊C4—174no—
1442C22⋊C4—174no—
1443C22⋊C4—174no—
1444C22⋊C4—174no—
1445C22⋊C4—174no—
1446C22⋊C4—174no—
1447C22⋊C4—174no—
1448C22⋊C4—342no—
1449C22⋊C4—342no—
1450C22⋊C4—342no—
1451C22⋊C4—342no—
1452C22⋊C4—342no—
1453C22⋊C4—342no—
1454C22⋊C4—342no—
1455C22⋊C4—681no—
1456C22⋊C4—681no—
1457C22⋊C4—681no—
1458C22⋊C4—681no—
1459C22⋊C4—681no—
1460C22⋊C4—681no—
1461C22⋊C4—681no—
1462C22⋊C4—681no—
1463C22⋊C4—681no—
1464C22⋊C4—681no—
1465C22⋊C4—681no—
1466C22⋊C4—681no—
1467C22⋊C4—681no—
1468C22⋊C4—681no—
1469C22⋊C4—681no—
1470C22⋊C4—681no—
1471C22⋊C4—681no—
1472C22⋊C4—681no—
1473C22⋊C4—681no—
1474C22⋊C4—681no—
1475C22⋊C4—681no—
1476C22⋊C4—681no—
1477C22⋊C4—681no—
1478C22⋊C4—681no—
1479C22⋊C4—681no—
1480C42—41no—
1481C42—41no—
1482C42—174no—
1483C42—174no—
1484C42—342no—
1485C42—342no—
1486C42—681no—
1487C42—681no—
1488C42—681no—
1489C42—681no—
1490C42—681no—
1491C42—681no—
1492C42—681no—
1493C42—681no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—172no—
1511C23—172no—
1512C23—172no—
1513C23—172no—
1514C23—348no—
1515C23—341no—
1516C23—341no—
1517C23—341no—
1518C23—341no—
1519C23—341no—
1520C23—341no—
1521C23—341no—
1522C23—341no—
1523C23—341no—
1524C23—341no—
1525C23—341no—
1526C23—341no—
1527C23—341no—
1528C23—341no—
1529C23—341no—
1530C23—341no—
1531C23—341no—
1532C23—341no—
1533C23—341no—
1534C23—341no—
1535C23—341no—
1536C23—341no—
1537C23—341no—
1538C23—341no—
1539C23—348no—
1540C23—684no—
1541C23—684no—
1542C23—684no—
1543C23—684no—
1544C23—684no—
1545C23—684no—
1546C23—684no—
1547C23—684no—
1548C23—1362no—
1549C23—1362no—
1550C23—1362no—
1551C23—1362no—
1552C23C22×C4×D1712yes—
1553C23C22×C4×D1712yes—
1554C23C22×C4×D1712yes—
1555C23#1058769112yes—
1556C23#1058769112yes—
1557C23C24×D1711yescharacteristic
1558Q8—44no—
1559D4—28no—
1560D4—28no—
1561D4—44no—
1562D4—684no—
1563D4—684no—
1564D4—684no—
1565D4—684no—
1566D4—684no—
1567D4—684no—
1568D4—684no—
1569D4—684no—
1570D4—684no—
1571D4—684no—
1572D4—684no—
1573D4—684no—
1574C2×C4—28no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—82no—
1610C2×C4—82no—
1611C2×C4—82no—
1612C2×C4—172no—
1613C2×C4—172no—
1614C2×C4—172no—
1615C2×C4—172no—
1616C2×C4—172no—
1617C2×C4—341no—
1618C2×C4—341no—
1619C2×C4—341no—
1620C2×C4—341no—
1621C2×C4—341no—
1622C2×C4—341no—
1623C2×C4—341no—
1624C2×C4—341no—
1625C2×C4—341no—
1626C2×C4—341no—
1627C2×C4—341no—
1628C2×C4—341no—
1629C2×C4—341no—
1630C2×C4—341no—
1631C2×C4—341no—
1632C2×C4—341no—
1633C2×C4—341no—
1634C2×C4—341no—
1635C2×C4—341no—
1636C2×C4—341no—
1637C2×C4—341no—
1638C2×C4—341no—
1639C2×C4—341no—
1640C2×C4—341no—
1641C2×C4—341no—
1642C2×C4—341no—
1643C2×C4—341no—
1644C2×C4—341no—
1645C2×C4—341no—
1646C2×C4—341no—
1647C2×C4—341no—
1648C2×C4—684no—
1649C2×C4—684no—
1650C2×C4—684no—
1651C2×C4—684no—
1652C2×C4—684no—
1653C2×C4—1362no—
1654C2×C4—1362no—
1655C2×C4—1362no—
1656C2×C4—1362no—
1657C2×C4—1362no—
1658C2×C4—1362no—
1659C2×C4—1362no—
1660C2×C4C22×C4×D1712yes—
1661C2×C4C22×C4×D1712yes—
1662C2×C4C22×C4×D1712yes—
1663C2×C4C22×C4×D1712yes—
1664C2×C4#1058769612yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—342no—
1686C22—342no—
1687C22—342no—
1688C22—342no—
1689C22—342no—
1690C22—342no—
1691C22—342no—
1692C22—342no—
1693C22—342no—
1694C22—342no—
1695C22—342no—
1696C22—342no—
1697C22—6816no—
1698C22—681no—
1699C22—681no—
1700C22—681no—
1701C22—681no—
1702C22—681no—
1703C22—681no—
1704C22—681no—
1705C22—681no—
1706C22—681no—
1707C22—681no—
1708C22—681no—
1709C22—681no—
1710C22—681no—
1711C22—681no—
1712C22—681no—
1713C22—681no—
1714C22—1368no—
1715C22#1176328214yes—
1716C22C23×C4×D1711yescharacteristic
1717C22H(5,𝔽2)×D1711yescharacteristic
1718C22C2×#1058769111yescharacteristic
1719C22C2×#1058769111yescharacteristic
1720C22C2×#1058769611yescharacteristic
1721C22#1176364511yescharacteristic
1722C22#1176364611yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—342no—
1736C4—342no—
1737C4—342no—
1738C4—342no—
1739C4—342no—
1740C4—681no—
1741C4—681no—
1742C4—681no—
1743C4—681no—
1744C4—681no—
1745C4—681no—
1746C4—681no—
1747C2—24no—
1748C2—42no—
1749C2—42no—
1750C2—682no—
1751C2—682no—
1752C2—682no—
1753C2—682no—
1754C2C2×#1176328211yescharacteristic
1755C2#1454199011yescharacteristic
1756C2C4×#1058769611yescharacteristic
1757C2#1454293311yescharacteristic
1758C2#1454295411yescharacteristic
1759C2#1454308511yescharacteristic
1760C2#1454310111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2339C2
socle, cosocleC23×C17C25
prime radicalC2×#11763373C2
hypercenter#2339D17
hypocenterC17#34406
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. #14531959C2semidirect
3. #14531956C2semidirect
4. #14531943C2semidirect
5. #14531938C2semidirect
6. #14531895C2semidirect
7. #14531847C2semidirect
8. #14531834C2semidirect
9. #14531831C2semidirect
10. #14531764C2semidirect
11. #14531764C2semidirect
12. #14531761C2semidirect
13. #14531761C2semidirect
14. #14531646C2semidirect
15. #14531640C2semidirect
16. #14531614C2semidirect
17. #14531596C2semidirect
18. #14531596C2semidirect
19. #14531549C2semidirect
20. #14531546C2semidirect
21. #14531505C2semidirect
22. #14531505C2semidirect
23. #14531487C2semidirect
24. #14531484C2semidirect
25. #14531447C2semidirect
26. #14531438C2semidirect
27. #14531361C2semidirect
28. #14531289C2semidirect
29. C4×#10587623C2semidirect
30. C2×#11762687C2semidirect
31. C17×#2339C2semidirect
34. #11763373C4semidirect
49. C2×C4×C22⋊D17C22semidirect
50. C2×C4×C22⋊D17C22semidirect
51. C2×C4×C22⋊D17C22semidirect
52. C2×C4×C22⋊D17C22semidirect
53. C2×#10587567C22semidirect
54. C2×#10587567C22semidirect
55. C2×#10587567C22semidirect
56. C2×#10587567C22semidirect
63. #11762716C22semidirect
64. #11762716C22semidirect
65. #11762709C22semidirect
66. #11762709C22semidirect
67. #11762709C22semidirect
68. #11762709C22semidirect
69. #11762709C22semidirect
70. #11762709C22semidirect
71. #11762709C22semidirect
72. #11762709C22semidirect
73. #11762701C22semidirect
74. #11762701C22semidirect
75. #11762701C22semidirect
76. #11762701C22semidirect
77. #11762700C22semidirect
78. #11762700C22semidirect
79. #11762700C22semidirect
80. #11762700C22semidirect
81. #11762699C22semidirect
82. #11762699C22semidirect
83. #11762699C22semidirect
84. #11762699C22semidirect
85. #11762698C22semidirect
86. #11762698C22semidirect
87. #11762698C22semidirect
88. #11762698C22semidirect
89. #11762694C22semidirect
90. #11762694C22semidirect
91. #11762694C22semidirect
92. #11762694C22semidirect
93. #11762692C22semidirect
94. #11762692C22semidirect
95. #11762692C22semidirect
96. #11762692C22semidirect
99. #11762689C22semidirect
100. #11762689C22semidirect
101. #11762688C22semidirect
102. #11762688C22semidirect
103. #11762688C22semidirect
104. #11762688C22semidirect
121. #11762686C22semidirect
122. #11762686C22semidirect
123. #11762686C22semidirect
124. #11762686C22semidirect
125. #11762685C22semidirect
126. #11762685C22semidirect
127. #11762685C22semidirect
128. #11762685C22semidirect
129. #11762685C22semidirect
130. #11762685C22semidirect
131. #11762685C22semidirect
132. #11762685C22semidirect
133. #11762683C22semidirect
134. #11762683C22semidirect
135. #11762683C22semidirect
136. #11762683C22semidirect
141. #11762680C22semidirect
142. #11762680C22semidirect
143. #11762680C22semidirect
144. #11762680C22semidirect
145. #11762676C22semidirect
146. #11762676C22semidirect
147. #11762673C22semidirect
148. #11762673C22semidirect
150. #11762672C22semidirect
151. #11762669C22semidirect
154. #11762660C22semidirect
155. #11762660C22semidirect
158. C4×#63227C22semidirect
159. C4×#63227C22semidirect
160. C4×#63227C22semidirect
161. C4×#63227C22semidirect
164. C4×C22⋊Dic17C22semidirect
165. #11762656C22semidirect
166. #11762656C22semidirect
167. #11762656C22semidirect
168. #11762656C22semidirect
169. #11762654C22semidirect
170. #11762654C22semidirect
172. C2×#10587502C22semidirect
176. C17×#391C22semidirect
177. C17×#391C22semidirect
180. C17×#386C22semidirect
181. C17×#386C22semidirect
183. C17×#381C22semidirect
184. C17×#380C22semidirect
185. C4×C22⋊C4×C17C22semidirect
187. C2×C17×#95C22semidirect
192. C2×#41×C17C2×C4semidirect
218. C22×D68C2×C4semidirect
258. #10587633C2×C4semidirect
259. #10587633C2×C4semidirect
260. #10587626C2×C4semidirect
261. #10587626C2×C4semidirect
262. #10587623C2×C4semidirect
263. #10587623C2×C4semidirect
264. #10587623C2×C4semidirect
265. #10587623C2×C4semidirect
268. #10587616C2×C4semidirect
269. #10587616C2×C4semidirect
270. #10587616C2×C4semidirect
271. #10587616C2×C4semidirect
311. #10587612C2×C4semidirect
406. C2×Q8×C17C22×C4semidirect
415. C2×D4×C17C22×C4semidirect
435. C22×C4×C17C22×C4semidirect
436. C22×C4×C17C22×C4semidirect
469. C2×C22⋊D17C22×C4semidirect
470. C2×C22⋊D17C22×C4semidirect
471. C2×C22⋊D17C22×C4semidirect
472. C2×C22⋊D17C22×C4semidirect
585. #63227C22×C4semidirect
586. #63227C22×C4semidirect
587. #63227C22×C4semidirect
588. #63227C22×C4semidirect
591. C4⋊Dic17C22×C4semidirect
592. C4⋊Dic17C22×C4semidirect
611. C4×Dic17C22×C4semidirect
612. C4×Dic17C22×C4semidirect
801. #2339D17semidirect
934. #391C2×D17semidirect
935. #391C2×D17semidirect
1006. #386C2×D17semidirect
1007. #386C2×D17semidirect
1027. #381C2×D17semidirect
1029. #380C2×D17semidirect
1047. C4×C22⋊C4C2×D17semidirect
1053. C2×#95C2×D17semidirect
1072. C2×#41C4×D17semidirect
1262. C17#34406semidirect
1287. C2×Q8C2×C4×D17semidirect
1333. C2×D4C2×C4×D17semidirect
1402. C22×C4C2×C4×D17semidirect
1403. C22×C4C2×C4×D17semidirect

Maximal subgroups

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

subgroupindex
C2×#117633732
#145319592
#145319562
#145319432
#145319382
#145318952
#145318472
#145318342
#145318312
#145317642
#145317612
#145316462
#145316402
#145316142
#145315962
#145315492
#145315462
#145315052
#145314872
#145314842
#145314472
#145314382
#145313612
#145312892
C4×#105876232
C2×#117626872
C17×#23392
#3440617