Finite Group Databasebeta

← #17197049

Subgroups — #17197049

Order 4352.

4134 conjugacy classes of subgroups.

The subgroup lattice has 1998 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#120×D17C211yesmaximal, characteristic
2#14531924C211yesmaximal, characteristic, complemented
3#14531924C211yesmaximal, characteristic, complemented
4#14531922C211yesmaximal, characteristic, complemented
5#14531921C211yesmaximal, characteristic, complemented
6#14531766C211yesmaximal, characteristic, complemented
7#14531764C211yesmaximal, characteristic, complemented
8#14531761C211yesmaximal, characteristic, complemented
9#14531760C211yesmaximal, characteristic, complemented
10#14531632C211yesmaximal, characteristic, complemented
11#14531631C211yesmaximal, characteristic, complemented
12#14531628C211yesmaximal, characteristic, complemented
13#14531627C211yesmaximal, characteristic, complemented
14#14531605C211yesmaximal, characteristic, complemented
15#14531602C211yesmaximal, characteristic, complemented
16#14531602C211yesmaximal, characteristic, complemented
17D4×#63227C211yesmaximal, characteristic, complemented
18#14531446C211yesmaximal, characteristic, complemented
19#14531445C211yesmaximal, characteristic, complemented
20#14531443C211yesmaximal, characteristic, complemented
21#14531442C211yesmaximal, characteristic, complemented
22#14531440C211yesmaximal, characteristic, complemented
23#14531439C211yesmaximal, characteristic, complemented
24#14531437C211yesmaximal, characteristic, complemented
25#14531378C211yesmaximal, characteristic, complemented
26#14531378C211yesmaximal, characteristic, complemented
27#14531363C211yesmaximal, characteristic, complemented
28#14531358C211yesmaximal, characteristic, complemented
29C2×#11762664C211yesmaximal, characteristic, complemented
30D17×#379C211yesmaximal, characteristic, complemented
31C17×#2321C211yesmaximal, characteristic, complemented
32C25×D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C22×D4×D17C2211yescharacteristic
35C22×D4×D17C2211yescharacteristic
36C2×#10587568C2211yescharacteristic
37C2×#10587568C2211yescharacteristic
38C2×#10587568C2211yescharacteristic
39C2×#10587639C2211yescharacteristic
40C2×#10587623C2211yescharacteristic
41C2×#10587623C2211yescharacteristic
42C2×#10587623C2211yescharacteristic
43#120×D17C4116yescomplemented
44C2×C4×D68C2211yescharacteristic, complemented
45C2×D4×Dic17C2211yescharacteristic, complemented
46C2×#10587579C2211yescharacteristic, complemented
47C2×C4×C22⋊D17C2211yescharacteristic, complemented
48C2×C4×C22⋊D17C2211yescharacteristic, complemented
49C2×#10587567C2211yescharacteristic, complemented
50C2×#10587567C2211yescharacteristic, complemented
51C2×#10587578C2211yescharacteristic, complemented
52C2×#10587558C2211yescharacteristic, complemented
53C22×C22⋊Dic17C2211yescharacteristic, complemented
54C22×#63227C2211yescharacteristic
55C22×#63227C2211yescharacteristic
56C22×#63227C2211yescharacteristic, complemented
57C22×#63227C2211yescharacteristic, complemented
58C22×#63227C2211yescharacteristic, complemented
59C2×C22⋊C4×D17C2211yescharacteristic
60C2×C22⋊C4×D17C2211yescharacteristic
61C2×C22⋊C4×D17C2211yescharacteristic
62C2×C22⋊C4×D17C2211yescharacteristic
63C2×C22⋊C4×D17C2211yescharacteristic
64C2×C22⋊C4×D17C2211yescharacteristic, complemented
65C2×C22⋊C4×D17C2211yescharacteristic, complemented
66C2×C22⋊C4×D17C2211yescharacteristic, complemented
67C2×C22⋊C4×D17C2211yescharacteristic, complemented
68C2×C22⋊C4×D17C2211yescharacteristic, complemented
69#11762712C2211yescharacteristic, complemented
70#11762712C2211yescharacteristic, complemented
71#11762711C2211yescharacteristic, complemented
72#11762711C2211yescharacteristic, complemented
73#11762710C2211yescharacteristic, complemented
74#11762710C2211yescharacteristic, complemented
75#11762709C2211yescharacteristic, complemented
76#11762709C2211yescharacteristic, complemented
77#11762709C2211yescharacteristic, complemented
78#11762709C2211yescharacteristic, complemented
79#11762709C2211yescharacteristic, complemented
80#11762709C2211yescharacteristic, complemented
81#11762709C2211yescharacteristic, complemented
82#11762709C2211yescharacteristic, complemented
83#11762703C2211yescharacteristic, complemented
84#11762703C2211yescharacteristic, complemented
85#11762703C2211yescharacteristic, complemented
86#11762703C2211yescharacteristic, complemented
87#11762702C2211yescharacteristic, complemented
88#11762702C2211yescharacteristic, complemented
89#11762702C2211yescharacteristic, complemented
90#11762702C2211yescharacteristic, complemented
91#11762701C2211yescharacteristic, complemented
92#11762701C2211yescharacteristic, complemented
93#11762701C2211yescharacteristic, complemented
94#11762701C2211yescharacteristic, complemented
95#11762700C2211yescharacteristic, complemented
96#11762700C2211yescharacteristic, complemented
97#11762700C2211yescharacteristic, complemented
98#11762700C2211yescharacteristic, complemented
99#11762699C2211yescharacteristic, complemented
100#11762699C2211yescharacteristic, complemented
101#11762699C2211yescharacteristic, complemented
102#11762699C2211yescharacteristic, complemented
103#11762698C2211yescharacteristic, complemented
104#11762698C2211yescharacteristic, complemented
105#11762698C2211yescharacteristic, complemented
106#11762698C2211yescharacteristic, complemented
107#11762697C2211yescharacteristic, complemented
108#11762697C2211yescharacteristic, complemented
109#11762697C2211yescharacteristic, complemented
110#11762697C2211yescharacteristic, complemented
111#11762689C2211yescharacteristic, complemented
112#11762689C2211yescharacteristic, complemented
113#11762689C2211yescharacteristic, complemented
114#11762688C2211yescharacteristic, complemented
115#11762688C2211yescharacteristic, complemented
116#11762688C2211yescharacteristic, complemented
117#11762687C2211yescharacteristic, complemented
118#11762687C2211yescharacteristic, complemented
119#11762687C2211yescharacteristic, complemented
120#11762687C2211yescharacteristic, complemented
121#11762687C2211yescharacteristic, complemented
122#11762687C2211yescharacteristic, complemented
123#11762686C2211yescharacteristic, complemented
124#11762686C2211yescharacteristic, complemented
125#11762686C2211yescharacteristic, complemented
126#11762685C2211yescharacteristic, complemented
127#11762685C2211yescharacteristic, complemented
128#11762685C2211yescharacteristic, complemented
129#11762685C2211yescharacteristic, complemented
130#11762685C2211yescharacteristic, complemented
131#11762685C2211yescharacteristic, complemented
132#11762684C2211yescharacteristic, complemented
133#11762683C2211yescharacteristic, complemented
134#11762683C2211yescharacteristic, complemented
135#11762682C2211yescharacteristic, complemented
136#11762681C2211yescharacteristic, complemented
137#11762680C2211yescharacteristic, complemented
138#11762680C2211yescharacteristic, complemented
139#11762671C2211yescharacteristic, complemented
140#11762671C2211yescharacteristic, complemented
141#11762668C2211yescharacteristic, complemented
142#11762668C2211yescharacteristic, complemented
143#11762666C2211yescharacteristic, complemented
144#11762666C2211yescharacteristic, complemented
145#11762665C2211yescharacteristic, complemented
146#11762664C2211yescharacteristic
147#11762664C2211yescharacteristic
148#11762664C2211yescharacteristic
149#11762664C2211yescharacteristic
150#11762664C2211yescharacteristic
151#11762664C2211yescharacteristic
152#11762664C2211yescharacteristic
153#11762664C2211yescharacteristic
154#11762664C2211yescharacteristic, complemented
155#11762664C2211yescharacteristic, complemented
156#11762664C2211yescharacteristic, complemented
157#11762664C2211yescharacteristic, complemented
158#11762664C2211yescharacteristic, complemented
159#11762664C2211yescharacteristic, complemented
160#11762664C2211yescharacteristic, complemented
161#11762664C2211yescharacteristic, complemented
162C22⋊C4×Dic17C2211yescharacteristic, complemented
163C22⋊C4×Dic17C2211yescharacteristic, complemented
164C4×#63227C2211yescharacteristic, complemented
165C4×#63227C2211yescharacteristic, complemented
166C4×#63227C2211yescharacteristic, complemented
167C4×#63227C2211yescharacteristic, complemented
168C4×C22⋊Dic17C2211yescharacteristic, complemented
169#11762656C2211yescharacteristic, complemented
170#11762656C2211yescharacteristic, complemented
171#11762656C2211yescharacteristic, complemented
172#11762656C2211yescharacteristic, complemented
173C2×C17×#120C2211yescharacteristic
174C2×C4×D4×C17C2211yescharacteristic, complemented
175C22×C22⋊C4×C17C2211yescharacteristic, complemented
176C17×#390C2211yescharacteristic, complemented
177C17×#390C2211yescharacteristic, complemented
178C17×#388C2211yescharacteristic, complemented
179C17×#388C2211yescharacteristic, complemented
180C17×#388C2211yescharacteristic, complemented
181C17×#388C2211yescharacteristic, complemented
182C17×#386C2211yescharacteristic, complemented
183C17×#386C2211yescharacteristic, complemented
184C17×#386C2211yescharacteristic, complemented
185C17×#385C2211yescharacteristic, complemented
186C17×#379C2211yescharacteristic, complemented
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C25×C17C2311yescharacteristic
189C24×D17—42no—
190C24×D17—42no—
191C24×D17—42no—
192C24×D17—42no—
193C24×D17—42no—
194C24×D17—42no—
195C24×D17C2×C418yescomplemented
196C24×D17C2311yescharacteristic
197C24×D17C2311yescharacteristic
198C24×D17C2311yescharacteristic
199C24×D17C2311yescharacteristic
200C24×D17C2311yescharacteristic
201C24×D17C2311yescharacteristic
202C24×D17C2311yescharacteristic
203C22×D4×C17C2311yescharacteristic
204C22×D4×C17C2311yescharacteristic
205C22×D4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C23×C4×C17C2311yescharacteristic, complemented
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C23×Dic17C2311yescharacteristic
216C23×Dic17C2311yescharacteristic
217C23×Dic17C2311yescharacteristic, complemented
218C2×D4×D17—42no—
219C2×D4×D17—42no—
220C2×D4×D17—42no—
221C2×D4×D17—42no—
222C2×D4×D17—42no—
223C2×D4×D17—42no—
224C2×D4×D17C2×C418yescomplemented
225C2×D4×D17C2×C418yescomplemented
226C2×D4×D17C2×C418yescomplemented
227C22×D68C2311yescharacteristic
228C22×D68C2311yescharacteristic
229C22×D68C2311yescharacteristic
230C22×C4×D17C2311yescharacteristic
231C22×C4×D17C2311yescharacteristic
232C22×C4×D17C2311yescharacteristic
233C22×C4×D17C2311yescharacteristic
234C22×C4×D17C2311yescharacteristic
235C22×C4×D17C2311yescharacteristic
236C22×C4×D17C2311yescharacteristic
237C22×C4×D17C2311yescharacteristic, complemented
238C22×C4×D17C2311yescharacteristic, complemented
239C17×#120C2×C418yescomplemented
240C4×D4×C17—42no—
241C2×C4⋊C4×C17C2311yescharacteristic, complemented
242C2×C4⋊C4×C17C2311yescharacteristic, complemented
243C2×C4⋊C4×C17C2311yescharacteristic, complemented
244C2×C22⋊C4×C17—42no—
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C22⋊C4×C17C2311yescharacteristic
252C2×C22⋊C4×C17C2311yescharacteristic
253C2×C22⋊C4×C17C2311yescharacteristic
254C2×C22⋊C4×C17C2311yescharacteristic
255C2×C22⋊C4×C17C2311yescharacteristic
256C2×C22⋊C4×C17C2311yescharacteristic
257C2×C22⋊C4×C17C2311yescharacteristic
258C2×C22⋊C4×C17C2311yescharacteristic, complemented
259C2×C22⋊C4×C17C2311yescharacteristic, complemented
260C2×C22⋊C4×C17C2311yescharacteristic, complemented
261C2×C42×C17C2311yescharacteristic, complemented
262C2×C42×C17C2311yescharacteristic, complemented
263C2×C42×C17C2311yescharacteristic, complemented
264#10587639C2×C418yescomplemented
265C2×C22⋊Dic17—42no—
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277C2×C22⋊Dic17C2311yescharacteristic
278C2×C22⋊Dic17C2311yescharacteristic
279C2×C22⋊Dic17C2311yescharacteristic, complemented
280C2×C22⋊Dic17C2311yescharacteristic, complemented
281C2×C22⋊Dic17C2311yescharacteristic, complemented
282#10587623C2×C418yescomplemented
283#10587623C2×C418yescomplemented
284#10587623C2×C418yescomplemented
285D4×Dic17—42no—
286C4×C22⋊D17—42no—
287C4×C22⋊D17—42no—
288C2×#63227—42no—
289C2×#63227—42no—
290C2×#63227—42no—
291C2×#63227—42no—
292C2×#63227—42no—
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
311C2×#63227C2311yescharacteristic
312C2×#63227C2311yescharacteristic
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
316C2×#63227C2311yescharacteristic
317C2×#63227C2311yescharacteristic
318C2×#63227C2311yescharacteristic
319C2×#63227C2311yescharacteristic
320C2×#63227C2311yescharacteristic
321C2×#63227C2311yescharacteristic
322C2×#63227C2311yescharacteristic
323C2×#63227C2311yescharacteristic
324C2×#63227C2311yescharacteristic
325C2×#63227C2311yescharacteristic
326C2×#63227C2311yescharacteristic
327C2×#63227C2311yescharacteristic, complemented
328C2×#63227C2311yescharacteristic, complemented
329C2×#63227C2311yescharacteristic, complemented
330C2×#63227C2311yescharacteristic, complemented
331C2×#63227C2311yescharacteristic, complemented
332C2×#63227C2311yescharacteristic, complemented
333C2×C4⋊Dic17C2311yescharacteristic, complemented
334C2×C4⋊Dic17C2311yescharacteristic, complemented
335C2×C4⋊Dic17C2311yescharacteristic, complemented
336C2×#63225C2311yescharacteristic, complemented
337C2×#63225C2311yescharacteristic, complemented
338C2×#63225C2311yescharacteristic, complemented
339C2×#63225C2311yescharacteristic, complemented
340C2×#63225C2311yescharacteristic, complemented
341C2×#63225C2311yescharacteristic, complemented
342C2×C4×Dic17C2311yescharacteristic, complemented
343C2×C4×Dic17C2311yescharacteristic, complemented
344C2×C4×Dic17C2311yescharacteristic, complemented
345C2×C4×Dic17C2311yescharacteristic, complemented
346C2×C4×Dic17C2311yescharacteristic, complemented
347C2×C4×Dic17C2311yescharacteristic, complemented
348C2×C4×Dic17C2311yescharacteristic, complemented
349C2×C4×Dic17C2311yescharacteristic, complemented
350C2×C4×Dic17C2311yescharacteristic, complemented
351#10587579—42no—
352#10587578—42no—
353#10587568C2×C418yescomplemented
354#10587568C2×C418yescomplemented
355#10587568C2×C418yescomplemented
356#10587567—42no—
357#10587567—42no—
358C22⋊C4×D17—42no—
359C22⋊C4×D17—42no—
360C22⋊C4×D17—42no—
361C22⋊C4×D17—42no—
362C22⋊C4×D17—42no—
363C22⋊C4×D17—42no—
364C22⋊C4×D17—42no—
365C22⋊C4×D17C2×C418yescomplemented
366C22⋊C4×D17C2×C418yescomplemented
367C22⋊C4×D17C2×C418yescomplemented
368C4×D68—42no—
369#10587558—42no—
370C17×#95C2311yescharacteristic, complemented
371C17×#95C2311yescharacteristic, complemented
372C17×#95C2311yescharacteristic, complemented
373C17×#95C2311yescharacteristic, complemented
374C17×#95C2311yescharacteristic, complemented
375C17×#95C2311yescharacteristic, complemented
376#10587502C2311yescharacteristic, complemented
377#10587502C2311yescharacteristic, complemented
378#10587502C2311yescharacteristic, complemented
379#10587502C2311yescharacteristic, complemented
380#10587502C2311yescharacteristic, complemented
381#10587502C2311yescharacteristic, complemented
382#10587502C2311yescharacteristic, complemented
383#10587502C2311yescharacteristic, complemented
384#10587502C2311yescharacteristic, complemented
385#10587502C2311yescharacteristic, complemented
386#10587502C2311yescharacteristic, complemented
387#10587502C2311yescharacteristic, complemented
388#10587502C2311yescharacteristic, complemented
389#10587502C2311yescharacteristic, complemented
390#10587502C2311yescharacteristic, complemented
391#10587502C2311yescharacteristic, complemented
392#10587502C2311yescharacteristic, complemented
393#10587502C2311yescharacteristic, complemented
394C24×C17—22no—
395C24×C17—22no—
396C24×C17—41no—
397C24×C17—41no—
398C24×C17—41no—
399C24×C17—41no—
400C24×C17C22×C414yes—
401C24×C17C2411yescharacteristic
402C24×C17C2411yescharacteristic
403C24×C17C2411yescharacteristic
404C24×C17C2411yescharacteristic
405C23×D17—22no—
406C23×D17—22no—
407C23×D17—22no—
408C23×D17—22no—
409C23×D17—22no—
410C23×D17—22no—
411C23×D17—22no—
412C23×D17—22no—
413C23×D17—22no—
414C23×D17—22no—
415C23×D17—22no—
416C23×D17—22no—
417C23×D17—22no—
418C23×D17—22no—
419C23×D17—22no—
420C23×D17—22no—
421C23×D17—22no—
422C23×D17—22no—
423C23×D17—416no—
424C23×D17—416no—
425C23×D17—416no—
426C23×D17—41no—
427C23×D17—41no—
428C23×D17—41no—
429C23×D17—41no—
430C23×D17—41no—
431C23×D17—41no—
432C23×D17—41no—
433C23×D17—41no—
434C23×D17—41no—
435C23×D17—41no—
436C23×D17—41no—
437C23×D17—41no—
438C23×D17—41no—
439C23×D17—41no—
440C23×D17—41no—
441C23×D17—41no—
442C23×D17—41no—
443C23×D17—41no—
444C23×D17—41no—
445C23×D17—41no—
446C23×D17—41no—
447C23×D17—41no—
448C23×D17—41no—
449C23×D17—41no—
450C23×D17—416no—
451C23×D17—416no—
452C23×D17—416no—
453C23×D17—416no—
454C23×D17C22×C414yes—
455C23×D17C22×C414yes—
456C23×D17C22×C414yes—
457C23×D17C22×C414yes—
458C23×D17C22×C414yes—
459C23×D17C22×C414yes—
460C23×D17C22×C414yes—
461C23×D17C2411yescharacteristic
462C23×D17C2411yescharacteristic
463C23×D17C2411yescharacteristic
464C23×D17C2411yescharacteristic
465C23×D17C2411yescharacteristic
466C2×D4×C17—22no—
467C2×D4×C17—22no—
468C2×D4×C17—41no—
469C2×D4×C17—41no—
470C2×D4×C17—41no—
471C2×D4×C17—41no—
472C2×D4×C17C22×C414yes—
473C2×D4×C17C22×C414yes—
474C2×D4×C17C22×C414yes—
475C22×C4×C17—22no—
476C22×C4×C17—22no—
477C22×C4×C17—41no—
478C22×C4×C17—41no—
479C22×C4×C17—41no—
480C22×C4×C17—41no—
481C22×C4×C17—41no—
482C22×C4×C17—41no—
483C22×C4×C17—41no—
484C22×C4×C17C2411yescharacteristic
485C22×C4×C17C2411yescharacteristic
486C22×C4×C17C2411yescharacteristic
487C22×C4×C17C2411yescharacteristic
488C22×C4×C17C2411yescharacteristic
489C22×C4×C17C2411yescharacteristic
490C22×C4×C17C2411yescharacteristic
491C22×C4×C17C2411yescharacteristic
492C22×C4×C17C2411yescharacteristic
493C22×C4×C17C2411yescharacteristic
494C22×C4×C17C2411yescharacteristic
495C2×C22⋊D17—22no—
496C2×C22⋊D17—22no—
497C2×C22⋊D17—22no—
498C2×C22⋊D17—22no—
499C2×C22⋊D17—41no—
500C2×C22⋊D17—41no—
501C2×C22⋊D17—41no—
502C2×C22⋊D17—41no—
503C2×C22⋊D17—41no—
504C2×C22⋊D17—41no—
505C2×C22⋊D17—41no—
506C2×C22⋊D17—41no—
507C2×C22⋊D17C22×C414yes—
508C2×C22⋊D17C22×C414yes—
509C2×C22⋊D17C22×C414yes—
510C2×C22⋊D17C22×C414yes—
511C2×C22⋊D17C22×C414yes—
512C2×C22⋊D17C22×C414yes—
513C22×Dic17—22no—
514C22×Dic17—22no—
515C22×Dic17—41no—
516C22×Dic17—41no—
517C22×Dic17—41no—
518C22×Dic17—41no—
519C22×Dic17—41no—
520C22×Dic17—41no—
521C22×Dic17—41no—
522C22×Dic17C2411yescharacteristic
523C22×Dic17C2411yescharacteristic
524C22×Dic17C2411yescharacteristic
525C22×Dic17C2411yescharacteristic
526C22×Dic17C2411yescharacteristic
527C22×Dic17C2411yescharacteristic
528C22×Dic17C2411yescharacteristic
529C22×Dic17C2411yescharacteristic
530C22×Dic17C2411yescharacteristic
531C22×Dic17C2411yescharacteristic
532C22×Dic17C2411yescharacteristic
533D4×D17—416no—
534D4×D17—416no—
535D4×D17—416no—
536C2×D68—22no—
537C2×D68—22no—
538C2×D68—41no—
539C2×D68—41no—
540C2×D68—41no—
541C2×D68—41no—
542C2×D68C22×C414yes—
543C2×D68C22×C414yes—
544C2×D68C22×C414yes—
545C2×C4×D17—22no—
546C2×C4×D17—22no—
547C2×C4×D17—22no—
548C2×C4×D17—22no—
549C2×C4×D17—22no—
550C2×C4×D17—22no—
551C2×C4×D17—41no—
552C2×C4×D17—41no—
553C2×C4×D17—41no—
554C2×C4×D17—41no—
555C2×C4×D17—41no—
556C2×C4×D17—41no—
557C2×C4×D17—41no—
558C2×C4×D17—41no—
559C2×C4×D17—41no—
560C2×C4×D17—41no—
561C2×C4×D17—41no—
562C2×C4×D17—41no—
563C2×C4×D17—41no—
564C2×C4×D17—41no—
565C2×C4×D17—41no—
566C2×C4×D17—41no—
567C2×C4×D17—41no—
568C2×C4×D17—41no—
569C2×C4×D17C22×C414yes—
570C2×C4×D17C22×C414yes—
571C2×C4×D17C22×C414yes—
572C4⋊C4×C17—41no—
573C4⋊C4×C17—41no—
574C4⋊C4×C17—41no—
575C22⋊C4×C17—22no—
576C22⋊C4×C17—22no—
577C22⋊C4×C17—41no—
578C22⋊C4×C17—41no—
579C22⋊C4×C17—41no—
580C22⋊C4×C17—41no—
581C22⋊C4×C17—41no—
582C22⋊C4×C17—41no—
583C22⋊C4×C17—41no—
584C22⋊C4×C17—41no—
585C22⋊C4×C17—41no—
586C22⋊C4×C17—41no—
587C22⋊C4×C17—41no—
588C22⋊C4×C17C22×C414yes—
589C22⋊C4×C17C22×C414yes—
590C22⋊C4×C17C22×C414yes—
591C42×C17—41no—
592C42×C17—41no—
593C42×C17—41no—
594C22⋊Dic17—22no—
595C22⋊Dic17—22no—
596C22⋊Dic17—41no—
597C22⋊Dic17—41no—
598C22⋊Dic17—41no—
599C22⋊Dic17—41no—
600C22⋊Dic17—41no—
601C22⋊Dic17—41no—
602C22⋊Dic17—41no—
603C22⋊Dic17—41no—
604C22⋊Dic17—41no—
605C22⋊Dic17—41no—
606C22⋊Dic17—41no—
607C22⋊Dic17C22×C414yes—
608C22⋊Dic17C22×C414yes—
609C22⋊Dic17C22×C414yes—
610#63227—22no—
611#63227—22no—
612#63227—22no—
613#63227—22no—
614#63227—22no—
615#63227—22no—
616#63227—22no—
617#63227—22no—
618#63227—22no—
619#63227—22no—
620#63227—22no—
621#63227—22no—
622#63227—41no—
623#63227—41no—
624#63227—41no—
625#63227—41no—
626#63227—41no—
627#63227—41no—
628#63227—41no—
629#63227—41no—
630#63227—41no—
631#63227—41no—
632#63227—41no—
633#63227—41no—
634#63227—41no—
635#63227—41no—
636#63227—41no—
637#63227—41no—
638#63227—41no—
639#63227—41no—
640#63227—41no—
641#63227—41no—
642#63227—41no—
643#63227—41no—
644#63227C22×C414yes—
645#63227C22×C414yes—
646#63227C22×C414yes—
647#63227C22×C414yes—
648#63227C22×C414yes—
649#63227C22×C414yes—
650C4⋊Dic17—41no—
651C4⋊Dic17—41no—
652C4⋊Dic17—41no—
653#63225—41no—
654#63225—41no—
655#63225—41no—
656#63225—41no—
657#63225—41no—
658#63225—41no—
659C4×Dic17—41no—
660C4×Dic17—41no—
661C4×Dic17—41no—
662C4×Dic17—41no—
663C4×Dic17—41no—
664C4×Dic17—41no—
665C4×Dic17—41no—
666C4×Dic17—41no—
667C4×Dic17—41no—
668#34356—171nomaximal, Sylow
669C23×C17—21no—
670C23×C17—21no—
671C23×C17—21no—
672C23×C17—21no—
673C23×C17—28no—
674C23×C17—21no—
675C23×C17—21no—
676C23×C17—21no—
677C23×C17—21no—
678C23×C17—21no—
679C23×C17—21no—
680C23×C17—21no—
681C23×C17—21no—
682C23×C17—21no—
683C23×C17—21no—
684C23×C17—21no—
685C23×C17—21no—
686C23×C17—21no—
687C23×C17—21no—
688C23×C17—21no—
689C23×C17—21no—
690C23×C17—21no—
691C23×C17—21no—
692C23×C17—44no—
693C23×C17—44no—
694C23×C17—44no—
695C23×C17—44no—
696C23×C17—44no—
697C23×C17—44no—
698C23×C17C23×C412yes—
699C23×C17C23×C412yes—
700C23×C17C23×C412yes—
701C23×C17C23×C412yes—
702C23×C17H(5,𝔽2)12yes—
703C23×C17H(5,𝔽2)12yes—
704C23×C17C2511yescharacteristic
705C22×D17—21no—
706C22×D17—21no—
707C22×D17—21no—
708C22×D17—21no—
709C22×D17—21no—
710C22×D17—21no—
711C22×D17—21no—
712C22×D17—21no—
713C22×D17—28no—
714C22×D17—28no—
715C22×D17—21no—
716C22×D17—21no—
717C22×D17—21no—
718C22×D17—21no—
719C22×D17—21no—
720C22×D17—21no—
721C22×D17—21no—
722C22×D17—21no—
723C22×D17—21no—
724C22×D17—21no—
725C22×D17—21no—
726C22×D17—21no—
727C22×D17—21no—
728C22×D17—21no—
729C22×D17—21no—
730C22×D17—21no—
731C22×D17—21no—
732C22×D17—21no—
733C22×D17—28no—
734C22×D17—28no—
735C22×D17—28no—
736C22×D17—28no—
737C22×D17—28no—
738C22×D17—28no—
739C22×D17—28no—
740C22×D17—44no—
741C22×D17—44no—
742C22×D17—44no—
743C22×D17—44no—
744C22×D17—44no—
745C22×D17—44no—
746C22×D17—44no—
747C22×D17—44no—
748C22×D17—44no—
749C22×D17—44no—
750C22×D17—44no—
751C22×D17—44no—
752C22×D17—44no—
753C22×D17—44no—
754C22×D17—44no—
755C22×D17—44no—
756C22×D17—44no—
757C22×D17—44no—
758C22×D17—44no—
759C22×D17—44no—
760C22×D17—44no—
761C22×D17—44no—
762C22×D17—44no—
763C22×D17—44no—
764C22×D17—44no—
765C22×D17—44no—
766C22×D17—44no—
767C22×D17—44no—
768C22×D17—44no—
769C22×D17—44no—
770C22×D17—44no—
771C22×D17—44no—
772C22×D17—4128no—
773C22×D17—44no—
774C22×D17—44no—
775C22×D17—44no—
776C22×D17—44no—
777C22×D17—82no—
778C22×D17—82no—
779C22×D17—82no—
780C22×D17—82no—
781C22×D17C23×C412yes—
782C22×D17C23×C412yes—
783C22×D17C23×C412yes—
784C22×D17C23×C412yes—
785C22×D17C23×C412yes—
786C22×D17H(5,𝔽2)12yes—
787C22×D17H(5,𝔽2)12yes—
788C22×D17H(5,𝔽2)12yes—
789C22×D17H(5,𝔽2)12yes—
790D4×C17—28no—
791D4×C17—44no—
792D4×C17—44no—
793C2×C4×C17—21no—
794C2×C4×C17—21no—
795C2×C4×C17—21no—
796C2×C4×C17—21no—
797C2×C4×C17—21no—
798C2×C4×C17—21no—
799C2×C4×C17—21no—
800C2×C4×C17—21no—
801C2×C4×C17—21no—
802C2×C4×C17—21no—
803C2×C4×C17—21no—
804C2×C4×C17—21no—
805C2×C4×C17—21no—
806C2×C4×C17—21no—
807C2×C4×C17—21no—
808C2×C4×C17—21no—
809C2×C4×C17—21no—
810C2×C4×C17—21no—
811C2×C4×C17—21no—
812C2×C4×C17—21no—
813C2×C4×C17—21no—
814C2×C4×C17—21no—
815C2×C4×C17—21no—
816C2×C4×C17—21no—
817C2×C4×C17—21no—
818C2×C4×C17—21no—
819C2×C4×C17—21no—
820C2×C4×C17—21no—
821C2×C4×C17—21no—
822C2×C4×C17—21no—
823C2×C4×C17—82no—
824C2×C4×C17—82no—
825C2×C4×C17—82no—
826C2×C4×C17C23×C412yes—
827C2×C4×C17C23×C412yes—
828C2×C4×C17C23×C412yes—
829C22⋊D17—28no—
830C22⋊D17—28no—
831C22⋊D17—44no—
832C22⋊D17—44no—
833C22⋊D17—44no—
834C22⋊D17—44no—
835C2×Dic17—21no—
836C2×Dic17—21no—
837C2×Dic17—21no—
838C2×Dic17—21no—
839C2×Dic17—21no—
840C2×Dic17—21no—
841C2×Dic17—21no—
842C2×Dic17—21no—
843C2×Dic17—21no—
844C2×Dic17—21no—
845C2×Dic17—21no—
846C2×Dic17—21no—
847C2×Dic17—21no—
848C2×Dic17—21no—
849C2×Dic17—21no—
850C2×Dic17—21no—
851C2×Dic17—21no—
852C2×Dic17—21no—
853C2×Dic17—21no—
854C2×Dic17—21no—
855C2×Dic17—21no—
856C2×Dic17—21no—
857C2×Dic17—21no—
858C2×Dic17—21no—
859C2×Dic17—21no—
860C2×Dic17—21no—
861C2×Dic17—21no—
862C2×Dic17—21no—
863C2×Dic17—21no—
864C2×Dic17—21no—
865C2×Dic17—82no—
866C2×Dic17—82no—
867C2×Dic17—82no—
868C2×Dic17C23×C412yes—
869C2×Dic17C23×C412yes—
870C2×Dic17C23×C412yes—
871D68—28no—
872D68—44no—
873D68—44no—
874C4×D17—28no—
875C4×D17—44no—
876C4×D17—44no—
877C4×D17—82no—
878C4×D17—82no—
879C4×D17—82no—
880C4×D17—82no—
881C4×D17—82no—
882C4×D17—82no—
883C22×#120—171no—
884#2375—171no—
885#2375—171no—
886#2375—171no—
887#2375—171no—
888#2358—171no—
889#2358—171no—
890#2358—171no—
891#2358—171no—
892#2342—171no—
893#2342—171no—
894#2342—171no—
895#2342—171no—
896D4×C22⋊C4—171no—
897D4×C22⋊C4—171no—
898D4×C22⋊C4—171no—
899D4×C22⋊C4—171no—
900#2321—171no—
901#2321—171no—
902#2321—171no—
903#2321—171no—
904#2321—171no—
905#2321—171no—
906#2321—171no—
907#2321D1711yescharacteristic, complemented
908#2312—171no—
909#2312—171no—
910#2309—171no—
911#2308—171no—
912C2×#379—171no—
913C2×#379—171no—
914C22×C17—22no—
915C22×C17—22no—
916C22×C17—22no—
917C22×C17—22no—
918C22×C17—22no—
919C22×C17—22no—
920C22×C17—22no—
921C22×C17—22no—
922C22×C17—22no—
923C22×C17—22no—
924C22×C17—22no—
925C22×C17—22no—
926C22×C17—22no—
927C22×C17—22no—
928C22×C17—22no—
929C22×C17—416no—
930C22×C17—41no—
931C22×C17—41no—
932C22×C17—41no—
933C22×C17—41no—
934C22×C17—41no—
935C22×C17—41no—
936C22×C17—41no—
937C22×C17—41no—
938C22×C17—41no—
939C22×C17—41no—
940C22×C17—41no—
941C22×C17—41no—
942C22×C17#51814yes—
943C22×C17C24×C411yescharacteristic
944C22×C17C2×H(5,𝔽2)11yescharacteristic
945C22×C17C2×H(5,𝔽2)11yescharacteristic
946C22×C17C2×H(5,𝔽2)11yescharacteristic
947C22×C17C2×H(5,𝔽2)11yescharacteristic
948C22×C17C2×H(5,𝔽2)11yescharacteristic
949C22×C17C2×H(5,𝔽2)11yescharacteristic
950C2×D17—22no—
951C2×D17—22no—
952C2×D17—22no—
953C2×D17—22no—
954C2×D17—22no—
955C2×D17—22no—
956C2×D17—22no—
957C2×D17—22no—
958C2×D17—22no—
959C2×D17—22no—
960C2×D17—22no—
961C2×D17—22no—
962C2×D17—22no—
963C2×D17—22no—
964C2×D17—22no—
965C2×D17—22no—
966C2×D17—22no—
967C2×D17—22no—
968C2×D17—22no—
969C2×D17—22no—
970C2×D17—22no—
971C2×D17—416no—
972C2×D17—416no—
973C2×D17—416no—
974C2×D17—416no—
975C2×D17—416no—
976C2×D17—416no—
977C2×D17—41no—
978C2×D17—41no—
979C2×D17—41no—
980C2×D17—41no—
981C2×D17—41no—
982C2×D17—41no—
983C2×D17—41no—
984C2×D17—41no—
985C2×D17—41no—
986C2×D17—41no—
987C2×D17—41no—
988C2×D17—41no—
989C2×D17—88no—
990C2×D17#51814yes—
991C2×D17#51814yes—
992C4×C17—22no—
993C4×C17—22no—
994C4×C17—22no—
995C4×C17—41no—
996C4×C17—41no—
997C4×C17—41no—
998C4×C17—41no—
999C4×C17—41no—
1000C4×C17—41no—
1001C4×C17—41no—
1002C4×C17—41no—
1003Dic17—22no—
1004Dic17—22no—
1005Dic17—22no—
1006Dic17—41no—
1007Dic17—41no—
1008Dic17—41no—
1009Dic17—41no—
1010Dic17—41no—
1011Dic17—41no—
1012Dic17—41no—
1013Dic17—41no—
1014C26—171no—
1015C23×D4—171no—
1016C23×D4—171no—
1017C23×D4—171no—
1018C2×#120—171no—
1019C2×#120—171no—
1020C2×#120—171no—
1021C2×#120—171no—
1022C2×#120—1716no—
1023C2×#120—171no—
1024C2×#120—171no—
1025C2×#120—171no—
1026C2×#120C2×D1711yescharacteristic
1027C2×C4×D4—171no—
1028C2×C4×D4—171no—
1029C2×C4×D4—171no—
1030C2×C4×D4—171no—
1031C2×C4×D4—171no—
1032C2×C4×D4—171no—
1033C2×C4×D4—171no—
1034C2×C4×D4C2×D1711yescharacteristic, complemented
1035C2×#117—171no—
1036C2×#117—171no—
1037C22×C22⋊C4—171no—
1038C22×C22⋊C4—171no—
1039C22×C22⋊C4—171no—
1040C22×C22⋊C4—171no—
1041C22×C22⋊C4—171no—
1042C22×C22⋊C4—171no—
1043C22×C22⋊C4—171no—
1044C22×C22⋊C4—171no—
1045C22×C22⋊C4—171no—
1046C22×C22⋊C4—171no—
1047C22×C22⋊C4—171no—
1048C22×C22⋊C4—171no—
1049C22×C22⋊C4—171no—
1050C22×C22⋊C4—171no—
1051C22×C22⋊C4—171no—
1052C22×C22⋊C4—171no—
1053C22×C22⋊C4C2×D1711yescharacteristic, complemented
1054#390—171no—
1055#390—171no—
1056#390—171no—
1057#390—171no—
1058#390—171no—
1059#390—171no—
1060#390—171no—
1061#390—171no—
1062#390—171no—
1063#390—171no—
1064#390—171no—
1065#390—171no—
1066#390—171no—
1067#390—171no—
1068#390C2×D1711yescharacteristic, complemented
1069#390C2×D1711yescharacteristic, complemented
1070#388—171no—
1071#388—171no—
1072#388—171no—
1073#388—171no—
1074#388—171no—
1075#388—171no—
1076#388—171no—
1077#388—171no—
1078#388—171no—
1079#388—171no—
1080#388—171no—
1081#388—171no—
1082#388—171no—
1083#388—171no—
1084#388—171no—
1085#388—171no—
1086#388—171no—
1087#388—171no—
1088#388—171no—
1089#388—171no—
1090#388—171no—
1091#388—171no—
1092#388—171no—
1093#388—171no—
1094#388—171no—
1095#388—171no—
1096#388—171no—
1097#388—171no—
1098#388C2×D1711yescharacteristic, complemented
1099#388C2×D1711yescharacteristic, complemented
1100#388C2×D1711yescharacteristic, complemented
1101#388C2×D1711yescharacteristic, complemented
1102#386—171no—
1103#386—171no—
1104#386—171no—
1105#386—171no—
1106#386—171no—
1107#386—171no—
1108#386—171no—
1109#386—171no—
1110#386—171no—
1111#386—171no—
1112#386—171no—
1113#386—171no—
1114#386—171no—
1115#386—171no—
1116#386—171no—
1117#386—171no—
1118#386—171no—
1119#386—171no—
1120#386—171no—
1121#386—171no—
1122#386—171no—
1123#386C2×D1711yescharacteristic, complemented
1124#386C2×D1711yescharacteristic, complemented
1125#386C2×D1711yescharacteristic, complemented
1126#385—171no—
1127#385—171no—
1128#385—171no—
1129#385—171no—
1130#385—171no—
1131#385—171no—
1132#385—171no—
1133#385C2×D1711yescharacteristic, complemented
1134#381—171no—
1135#381—171no—
1136#380—171no—
1137#380—171no—
1138#380—171no—
1139#380—171no—
1140#379—171no—
1141#379—171no—
1142#379—171no—
1143#379—171no—
1144#379—171no—
1145#379—171no—
1146#379—171no—
1147#379—171no—
1148#379—171no—
1149#379—171no—
1150#379—171no—
1151#379—171no—
1152#379—171no—
1153#379—171no—
1154#379—171no—
1155#379—171no—
1156#379—171no—
1157#379C2×D1711yescharacteristic, complemented
1158C4×C22⋊C4—171no—
1159C4×C22⋊C4—171no—
1160C4×C22⋊C4—171no—
1161C4×C22⋊C4—171no—
1162C4×C22⋊C4—171no—
1163C4×C22⋊C4—171no—
1164C4×C22⋊C4—171no—
1165C4×C22⋊C4—171no—
1166C4×C22⋊C4—171no—
1167C4×C22⋊C4—171no—
1168C4×C22⋊C4—171no—
1169C4×C22⋊C4C2×D1711yescharacteristic, complemented
1170C2×C17—24no—
1171C2×C17—42no—
1172C2×C17—42no—
1173C2×C17—42no—
1174C2×C17C2×#51811yescharacteristic
1175C2×C17C2×#51811yescharacteristic
1176C2×C17C2×#51811yescharacteristic
1177C2×C17#353211yescharacteristic
1178C2×C17#353211yescharacteristic
1179C2×C17#353211yescharacteristic
1180C2×C17#353211yescharacteristic
1181D17—24no—
1182D17—24no—
1183D17—42no—
1184D17—42no—
1185D17—42no—
1186C25—171no—
1187C25—171no—
1188C25—171no—
1189C25—171no—
1190C25—171no—
1191C25—171no—
1192C25—178no—
1193C25—171no—
1194C25—682no—
1195C25—682no—
1196C25—682no—
1197C25—682no—
1198C25—682no—
1199C25—682no—
1200C25C22×D1711yescharacteristic
1201C22×D4—171no—
1202C22×D4—171no—
1203C22×D4—171no—
1204C22×D4—171no—
1205C22×D4—171no—
1206C22×D4—171no—
1207C22×D4—178no—
1208C22×D4—178no—
1209C22×D4—178no—
1210C22×D4—171no—
1211C22×D4—171no—
1212C22×D4—171no—
1213C22×D4—682no—
1214C22×D4—682no—
1215C22×D4—682no—
1216C22×D4—682no—
1217C22×D4—682no—
1218C22×D4—682no—
1219C22×D4C22×D1711yescharacteristic
1220C22×D4C22×D1711yescharacteristic
1221C22×D4C22×D1711yescharacteristic
1222C23×C4—171no—
1223C23×C4—171no—
1224C23×C4—171no—
1225C23×C4—171no—
1226C23×C4—171no—
1227C23×C4—171no—
1228C23×C4—171no—
1229C23×C4—171no—
1230C23×C4—171no—
1231C23×C4—171no—
1232C23×C4—171no—
1233C23×C4—171no—
1234C23×C4C22×D1711yescharacteristic
1235C23×C4C22×D1711yescharacteristic
1236C23×C4C22×D1711yescharacteristic, complemented
1237#120—178no—
1238#120—178no—
1239#120—178no—
1240#120—178no—
1241#120—178no—
1242#120—178no—
1243#120—178no—
1244#120C4×D1718yescomplemented
1245C4×D4—42no—
1246C4×D4—682no—
1247C4×D4—682no—
1248C4×D4—682no—
1249C4×D4—682no—
1250C4×D4—682no—
1251C4×D4—682no—
1252C4×D4—682no—
1253#117—682no—
1254#117—682no—
1255C2×C4⋊C4—171no—
1256C2×C4⋊C4—171no—
1257C2×C4⋊C4—171no—
1258C2×C4⋊C4—171no—
1259C2×C4⋊C4—171no—
1260C2×C4⋊C4—171no—
1261C2×C4⋊C4—171no—
1262C2×C4⋊C4—171no—
1263C2×C4⋊C4—171no—
1264C2×C4⋊C4C22×D1711yescharacteristic, complemented
1265C2×C4⋊C4C22×D1711yescharacteristic, complemented
1266C2×C4⋊C4C22×D1711yescharacteristic, complemented
1267C2×C22⋊C4—42no—
1268C2×C22⋊C4—171no—
1269C2×C22⋊C4—171no—
1270C2×C22⋊C4—171no—
1271C2×C22⋊C4—171no—
1272C2×C22⋊C4—171no—
1273C2×C22⋊C4—171no—
1274C2×C22⋊C4—171no—
1275C2×C22⋊C4—171no—
1276C2×C22⋊C4—171no—
1277C2×C22⋊C4—178no—
1278C2×C22⋊C4—178no—
1279C2×C22⋊C4—178no—
1280C2×C22⋊C4—171no—
1281C2×C22⋊C4—171no—
1282C2×C22⋊C4—171no—
1283C2×C22⋊C4—171no—
1284C2×C22⋊C4—171no—
1285C2×C22⋊C4—171no—
1286C2×C22⋊C4—171no—
1287C2×C22⋊C4—171no—
1288C2×C22⋊C4—171no—
1289C2×C22⋊C4—171no—
1290C2×C22⋊C4—171no—
1291C2×C22⋊C4—171no—
1292C2×C22⋊C4—171no—
1293C2×C22⋊C4—171no—
1294C2×C22⋊C4—171no—
1295C2×C22⋊C4—171no—
1296C2×C22⋊C4—171no—
1297C2×C22⋊C4—171no—
1298C2×C22⋊C4—171no—
1299C2×C22⋊C4—171no—
1300C2×C22⋊C4—171no—
1301C2×C22⋊C4—171no—
1302C2×C22⋊C4—171no—
1303C2×C22⋊C4—171no—
1304C2×C22⋊C4—171no—
1305C2×C22⋊C4—171no—
1306C2×C22⋊C4—171no—
1307C2×C22⋊C4—171no—
1308C2×C22⋊C4—171no—
1309C2×C22⋊C4—171no—
1310C2×C22⋊C4—171no—
1311C2×C22⋊C4—171no—
1312C2×C22⋊C4—171no—
1313C2×C22⋊C4—171no—
1314C2×C22⋊C4—171no—
1315C2×C22⋊C4—171no—
1316C2×C22⋊C4—171no—
1317C2×C22⋊C4—171no—
1318C2×C22⋊C4—171no—
1319C2×C22⋊C4—171no—
1320C2×C22⋊C4—171no—
1321C2×C22⋊C4—171no—
1322C2×C22⋊C4—171no—
1323C2×C22⋊C4—171no—
1324C2×C22⋊C4—171no—
1325C2×C22⋊C4—171no—
1326C2×C22⋊C4—171no—
1327C2×C22⋊C4—682no—
1328C2×C22⋊C4—682no—
1329C2×C22⋊C4—682no—
1330C2×C22⋊C4—682no—
1331C2×C22⋊C4—682no—
1332C2×C22⋊C4—682no—
1333C2×C22⋊C4—682no—
1334C2×C22⋊C4—682no—
1335C2×C22⋊C4—682no—
1336C2×C22⋊C4—682no—
1337C2×C22⋊C4—682no—
1338C2×C22⋊C4—682no—
1339C2×C22⋊C4—682no—
1340C2×C22⋊C4C22×D1711yescharacteristic
1341C2×C22⋊C4C22×D1711yescharacteristic
1342C2×C22⋊C4C22×D1711yescharacteristic
1343C2×C22⋊C4C22×D1711yescharacteristic
1344C2×C22⋊C4C22×D1711yescharacteristic
1345C2×C22⋊C4C22×D1711yescharacteristic
1346C2×C22⋊C4C22×D1711yescharacteristic
1347C2×C22⋊C4C22×D1711yescharacteristic
1348C2×C22⋊C4C22×D1711yescharacteristic
1349C2×C22⋊C4C22×D1711yescharacteristic
1350C2×C22⋊C4C22×D1711yescharacteristic
1351C2×C22⋊C4C22×D1711yescharacteristic
1352C2×C22⋊C4C22×D1711yescharacteristic
1353C2×C22⋊C4C22×D1711yescharacteristic, complemented
1354C2×C22⋊C4C22×D1711yescharacteristic, complemented
1355C2×C22⋊C4C22×D1711yescharacteristic, complemented
1356C2×C42—171no—
1357C2×C42—171no—
1358C2×C42—171no—
1359C2×C42—171no—
1360C2×C42—171no—
1361C2×C42—171no—
1362C2×C42—171no—
1363C2×C42—171no—
1364C2×C42—171no—
1365C2×C42C22×D1711yescharacteristic, complemented
1366C2×C42C22×D1711yescharacteristic, complemented
1367C2×C42C22×D1711yescharacteristic, complemented
1368#95—171no—
1369#95—171no—
1370#95—171no—
1371#95—171no—
1372#95—171no—
1373#95—171no—
1374#95—171no—
1375#95—171no—
1376#95—171no—
1377#95—171no—
1378#95—171no—
1379#95—171no—
1380#95—171no—
1381#95—171no—
1382#95—171no—
1383#95—171no—
1384#95—171no—
1385#95—171no—
1386#95C22×D1711yescharacteristic, complemented
1387#95C22×D1711yescharacteristic, complemented
1388#95C22×D1711yescharacteristic, complemented
1389#95C22×D1711yescharacteristic, complemented
1390#95C22×D1711yescharacteristic, complemented
1391#95C22×D1711yescharacteristic, complemented
1392C17#3435611yescharacteristic, complemented, Sylow
1393C24—22no—
1394C24—22no—
1395C24—41no—
1396C24—41no—
1397C24—41no—
1398C24—41no—
1399C24—171no—
1400C24—171no—
1401C24—171no—
1402C24—171no—
1403C24—171no—
1404C24—174no—
1405C24—174no—
1406C24—174no—
1407C24—174no—
1408C24—174no—
1409C24—174no—
1410C24—174no—
1411C24—342no—
1412C24—342no—
1413C24—342no—
1414C24—342no—
1415C24—342no—
1416C24—342no—
1417C24—342no—
1418C24—342no—
1419C24—342no—
1420C24—342no—
1421C24—342no—
1422C24—342no—
1423C24—342no—
1424C24—342no—
1425C24—342no—
1426C24—342no—
1427C24—342no—
1428C24—342no—
1429C24—681no—
1430C24—681no—
1431C24—681no—
1432C24—681no—
1433C24—6816no—
1434C24—681no—
1435C24—681no—
1436C24—681no—
1437C24—681no—
1438C24—681no—
1439C24—681no—
1440C24—681no—
1441C24—681no—
1442C24—681no—
1443C24—681no—
1444C24—681no—
1445C24—681no—
1446C24—681no—
1447C24—681no—
1448C24—681no—
1449C24—681no—
1450C24—681no—
1451C24—681no—
1452C24—681no—
1453C24—681no—
1454C24—6816no—
1455C24—6816no—
1456C24—6816no—
1457C24—6816no—
1458C24—6816no—
1459C24—6816no—
1460C24C2×C4×D1714yes—
1461C24C23×D1711yescharacteristic
1462C24C23×D1711yescharacteristic
1463C24C23×D1711yescharacteristic
1464C24C23×D1711yescharacteristic
1465C2×D4—22no—
1466C2×D4—22no—
1467C2×D4—41no—
1468C2×D4—41no—
1469C2×D4—41no—
1470C2×D4—41no—
1471C2×D4—174no—
1472C2×D4—174no—
1473C2×D4—174no—
1474C2×D4—174no—
1475C2×D4—174no—
1476C2×D4—174no—
1477C2×D4—174no—
1478C2×D4—174no—
1479C2×D4—174no—
1480C2×D4—342no—
1481C2×D4—342no—
1482C2×D4—342no—
1483C2×D4—342no—
1484C2×D4—342no—
1485C2×D4—342no—
1486C2×D4—681no—
1487C2×D4—681no—
1488C2×D4—681no—
1489C2×D4—681no—
1490C2×D4—6816no—
1491C2×D4—681no—
1492C2×D4—681no—
1493C2×D4—681no—
1494C2×D4—681no—
1495C2×D4—681no—
1496C2×D4—681no—
1497C2×D4—681no—
1498C2×D4—681no—
1499C2×D4—6816no—
1500C2×D4—6816no—
1501C2×D4C2×C4×D1714yes—
1502C2×D4C2×C4×D1714yes—
1503C2×D4C2×C4×D1714yes—
1504C22×C4—22no—
1505C22×C4—22no—
1506C22×C4—41no—
1507C22×C4—41no—
1508C22×C4—41no—
1509C22×C4—41no—
1510C22×C4—41no—
1511C22×C4—41no—
1512C22×C4—41no—
1513C22×C4—171no—
1514C22×C4—171no—
1515C22×C4—171no—
1516C22×C4—174no—
1517C22×C4—174no—
1518C22×C4—174no—
1519C22×C4—171no—
1520C22×C4—171no—
1521C22×C4—171no—
1522C22×C4—171no—
1523C22×C4—171no—
1524C22×C4—171no—
1525C22×C4—171no—
1526C22×C4—171no—
1527C22×C4—342no—
1528C22×C4—342no—
1529C22×C4—342no—
1530C22×C4—342no—
1531C22×C4—342no—
1532C22×C4—342no—
1533C22×C4—342no—
1534C22×C4—342no—
1535C22×C4—681no—
1536C22×C4—681no—
1537C22×C4—681no—
1538C22×C4—681no—
1539C22×C4—681no—
1540C22×C4—681no—
1541C22×C4—681no—
1542C22×C4—681no—
1543C22×C4—681no—
1544C22×C4—681no—
1545C22×C4—681no—
1546C22×C4—681no—
1547C22×C4—681no—
1548C22×C4—681no—
1549C22×C4—681no—
1550C22×C4—681no—
1551C22×C4—681no—
1552C22×C4—681no—
1553C22×C4—681no—
1554C22×C4—681no—
1555C22×C4—681no—
1556C22×C4—681no—
1557C22×C4—681no—
1558C22×C4—681no—
1559C22×C4—681no—
1560C22×C4C23×D1711yescharacteristic
1561C22×C4C23×D1711yescharacteristic
1562C22×C4C23×D1711yescharacteristic
1563C22×C4C23×D1711yescharacteristic
1564C22×C4C23×D1711yescharacteristic
1565C22×C4C23×D1711yescharacteristic
1566C22×C4C23×D1711yescharacteristic
1567C22×C4C23×D1711yescharacteristic
1568C22×C4C23×D1711yescharacteristic
1569C22×C4C23×D1711yescharacteristic
1570C22×C4C23×D1711yescharacteristic
1571C4⋊C4—41no—
1572C4⋊C4—41no—
1573C4⋊C4—41no—
1574C4⋊C4—681no—
1575C4⋊C4—681no—
1576C4⋊C4—681no—
1577C4⋊C4—681no—
1578C4⋊C4—681no—
1579C4⋊C4—681no—
1580C4⋊C4—681no—
1581C4⋊C4—681no—
1582C4⋊C4—681no—
1583C22⋊C4—22no—
1584C22⋊C4—22no—
1585C22⋊C4—41no—
1586C22⋊C4—41no—
1587C22⋊C4—41no—
1588C22⋊C4—41no—
1589C22⋊C4—41no—
1590C22⋊C4—41no—
1591C22⋊C4—41no—
1592C22⋊C4—41no—
1593C22⋊C4—41no—
1594C22⋊C4—41no—
1595C22⋊C4—41no—
1596C22⋊C4—174no—
1597C22⋊C4—174no—
1598C22⋊C4—174no—
1599C22⋊C4—174no—
1600C22⋊C4—174no—
1601C22⋊C4—174no—
1602C22⋊C4—174no—
1603C22⋊C4—174no—
1604C22⋊C4—174no—
1605C22⋊C4—342no—
1606C22⋊C4—342no—
1607C22⋊C4—342no—
1608C22⋊C4—342no—
1609C22⋊C4—342no—
1610C22⋊C4—342no—
1611C22⋊C4—342no—
1612C22⋊C4—342no—
1613C22⋊C4—342no—
1614C22⋊C4—342no—
1615C22⋊C4—342no—
1616C22⋊C4—342no—
1617C22⋊C4—342no—
1618C22⋊C4—342no—
1619C22⋊C4—681no—
1620C22⋊C4—681no—
1621C22⋊C4—681no—
1622C22⋊C4—681no—
1623C22⋊C4—681no—
1624C22⋊C4—681no—
1625C22⋊C4—681no—
1626C22⋊C4—681no—
1627C22⋊C4—681no—
1628C22⋊C4—681no—
1629C22⋊C4—681no—
1630C22⋊C4—681no—
1631C22⋊C4—681no—
1632C22⋊C4—681no—
1633C22⋊C4—681no—
1634C22⋊C4—681no—
1635C22⋊C4—681no—
1636C22⋊C4—681no—
1637C22⋊C4—681no—
1638C22⋊C4—681no—
1639C22⋊C4—681no—
1640C22⋊C4—681no—
1641C22⋊C4—681no—
1642C22⋊C4—681no—
1643C22⋊C4—681no—
1644C22⋊C4—681no—
1645C22⋊C4—681no—
1646C22⋊C4—681no—
1647C22⋊C4—681no—
1648C22⋊C4—681no—
1649C22⋊C4—681no—
1650C22⋊C4—681no—
1651C22⋊C4—681no—
1652C22⋊C4C2×C4×D1714yes—
1653C22⋊C4C2×C4×D1714yes—
1654C22⋊C4C2×C4×D1714yes—
1655C42—41no—
1656C42—41no—
1657C42—41no—
1658C42—681no—
1659C42—681no—
1660C42—681no—
1661C42—681no—
1662C42—681no—
1663C42—681no—
1664C42—681no—
1665C42—681no—
1666C42—681no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—28no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—44no—
1691C23—44no—
1692C23—44no—
1693C23—44no—
1694C23—44no—
1695C23—44no—
1696C23—172no—
1697C23—172no—
1698C23—172no—
1699C23—172no—
1700C23—172no—
1701C23—172no—
1702C23—172no—
1703C23—172no—
1704C23—172no—
1705C23—348no—
1706C23—348no—
1707C23—348no—
1708C23—348no—
1709C23—348no—
1710C23—348no—
1711C23—348no—
1712C23—341no—
1713C23—341no—
1714C23—341no—
1715C23—341no—
1716C23—341no—
1717C23—341no—
1718C23—341no—
1719C23—341no—
1720C23—348no—
1721C23—348no—
1722C23—341no—
1723C23—341no—
1724C23—341no—
1725C23—341no—
1726C23—341no—
1727C23—341no—
1728C23—341no—
1729C23—341no—
1730C23—341no—
1731C23—341no—
1732C23—341no—
1733C23—341no—
1734C23—341no—
1735C23—341no—
1736C23—341no—
1737C23—341no—
1738C23—341no—
1739C23—341no—
1740C23—684no—
1741C23—684no—
1742C23—684no—
1743C23—684no—
1744C23—684no—
1745C23—684no—
1746C23—684no—
1747C23—684no—
1748C23—684no—
1749C23—684no—
1750C23—684no—
1751C23—684no—
1752C23—684no—
1753C23—684no—
1754C23—684no—
1755C23—684no—
1756C23—684no—
1757C23—684no—
1758C23—684no—
1759C23—684no—
1760C23—684no—
1761C23—684no—
1762C23—684no—
1763C23—684no—
1764C23—684no—
1765C23—684no—
1766C23—684no—
1767C23—684no—
1768C23—684no—
1769C23—684no—
1770C23—684no—
1771C23—684no—
1772C23—68128no—
1773C23—684no—
1774C23—684no—
1775C23—684no—
1776C23—684no—
1777C23—1362no—
1778C23—1362no—
1779C23—1362no—
1780C23—1362no—
1781C23C22×C4×D1712yes—
1782C23C22×C4×D1712yes—
1783C23C22×C4×D1712yes—
1784C23C22×C4×D1712yes—
1785C23#1058769112yes—
1786C23#1058769612yes—
1787C23C24×D1711yescharacteristic
1788D4—28no—
1789D4—44no—
1790D4—44no—
1791D4—348no—
1792D4—348no—
1793D4—348no—
1794D4—684no—
1795D4—684no—
1796D4—684no—
1797D4—684no—
1798D4—684no—
1799D4—684no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—82no—
1831C2×C4—82no—
1832C2×C4—82no—
1833C2×C4—172no—
1834C2×C4—172no—
1835C2×C4—172no—
1836C2×C4—348no—
1837C2×C4—341no—
1838C2×C4—341no—
1839C2×C4—341no—
1840C2×C4—341no—
1841C2×C4—341no—
1842C2×C4—341no—
1843C2×C4—341no—
1844C2×C4—341no—
1845C2×C4—341no—
1846C2×C4—341no—
1847C2×C4—341no—
1848C2×C4—341no—
1849C2×C4—341no—
1850C2×C4—341no—
1851C2×C4—341no—
1852C2×C4—341no—
1853C2×C4—341no—
1854C2×C4—341no—
1855C2×C4—341no—
1856C2×C4—341no—
1857C2×C4—341no—
1858C2×C4—341no—
1859C2×C4—341no—
1860C2×C4—341no—
1861C2×C4—341no—
1862C2×C4—341no—
1863C2×C4—341no—
1864C2×C4—341no—
1865C2×C4—341no—
1866C2×C4—341no—
1867C2×C4—684no—
1868C2×C4—684no—
1869C2×C4—1362no—
1870C2×C4—1362no—
1871C2×C4—1362no—
1872C2×C4—1362no—
1873C2×C4—1362no—
1874C2×C4—1362no—
1875C2×C4—1362no—
1876C2×C4—1362no—
1877C2×C4—1362no—
1878C2×C4C22×C4×D1712yes—
1879C2×C4C22×C4×D1712yes—
1880C2×C4C22×C4×D1712yes—
1881C22—22no—
1882C22—22no—
1883C22—22no—
1884C22—22no—
1885C22—22no—
1886C22—22no—
1887C22—22no—
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—416no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—174no—
1910C22—174no—
1911C22—342no—
1912C22—342no—
1913C22—342no—
1914C22—342no—
1915C22—342no—
1916C22—342no—
1917C22—342no—
1918C22—342no—
1919C22—342no—
1920C22—342no—
1921C22—342no—
1922C22—342no—
1923C22—342no—
1924C22—342no—
1925C22—342no—
1926C22—342no—
1927C22—342no—
1928C22—342no—
1929C22—342no—
1930C22—342no—
1931C22—342no—
1932C22—6816no—
1933C22—6816no—
1934C22—6816no—
1935C22—6816no—
1936C22—6816no—
1937C22—6816no—
1938C22—681no—
1939C22—681no—
1940C22—681no—
1941C22—681no—
1942C22—681no—
1943C22—681no—
1944C22—681no—
1945C22—681no—
1946C22—681no—
1947C22—681no—
1948C22—681no—
1949C22—681no—
1950C22—1368no—
1951C22#1176328114yes—
1952C22C23×C4×D1711yescharacteristic
1953C22H(5,𝔽2)×D1711yescharacteristic
1954C22H(5,𝔽2)×D1711yescharacteristic
1955C22H(5,𝔽2)×D1711yescharacteristic
1956C22H(5,𝔽2)×D1711yescharacteristic
1957C22C2×#1058769111yescharacteristic
1958C22C2×#1058769611yescharacteristic
1959C4—22no—
1960C4—22no—
1961C4—22no—
1962C4—41no—
1963C4—41no—
1964C4—41no—
1965C4—41no—
1966C4—41no—
1967C4—41no—
1968C4—41no—
1969C4—41no—
1970C4—342no—
1971C4—342no—
1972C4—342no—
1973C4—681no—
1974C4—681no—
1975C4—681no—
1976C4—681no—
1977C4—681no—
1978C4—681no—
1979C4—681no—
1980C4—681no—
1981C2—24no—
1982C2—42no—
1983C2—42no—
1984C2—42no—
1985C2—344no—
1986C2—344no—
1987C2—682no—
1988C2—682no—
1989C2—682no—
1990C2D17×#51811yescharacteristic
1991C2D17×#51811yescharacteristic
1992C2C2×#1176328111yescharacteristic
1993C2#1454293511yescharacteristic
1994C2#1454293511yescharacteristic
1995C2#1454293611yescharacteristic
1996C2#1454293811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2321C2
socle, cosocleC23×C17C25
prime radicalC2×#120×D17C2
hypercenter#2321D17
hypocenterC17#34356
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
2. #14531924C2semidirect
3. #14531924C2semidirect
4. #14531922C2semidirect
5. #14531921C2semidirect
6. #14531766C2semidirect
7. #14531764C2semidirect
8. #14531761C2semidirect
9. #14531760C2semidirect
10. #14531632C2semidirect
11. #14531631C2semidirect
12. #14531628C2semidirect
13. #14531627C2semidirect
14. #14531605C2semidirect
15. #14531602C2semidirect
16. #14531602C2semidirect
17. D4×#63227C2semidirect
18. #14531446C2semidirect
19. #14531445C2semidirect
20. #14531443C2semidirect
21. #14531442C2semidirect
22. #14531440C2semidirect
23. #14531439C2semidirect
24. #14531437C2semidirect
25. #14531378C2semidirect
26. #14531378C2semidirect
27. #14531363C2semidirect
28. #14531358C2semidirect
29. C2×#11762664C2semidirect
30. D17×#379C2semidirect
31. C17×#2321C2semidirect
43. #120×D17C4semidirect
44. C2×C4×D68C22semidirect
45. C2×D4×Dic17C22semidirect
46. C2×#10587579C22semidirect
47. C2×C4×C22⋊D17C22semidirect
48. C2×C4×C22⋊D17C22semidirect
49. C2×#10587567C22semidirect
50. C2×#10587567C22semidirect
51. C2×#10587578C22semidirect
52. C2×#10587558C22semidirect
53. C22×C22⋊Dic17C22semidirect
56. C22×#63227C22semidirect
57. C22×#63227C22semidirect
58. C22×#63227C22semidirect
64. C2×C22⋊C4×D17C22semidirect
65. C2×C22⋊C4×D17C22semidirect
66. C2×C22⋊C4×D17C22semidirect
67. C2×C22⋊C4×D17C22semidirect
68. C2×C22⋊C4×D17C22semidirect
69. #11762712C22semidirect
70. #11762712C22semidirect
71. #11762711C22semidirect
72. #11762711C22semidirect
73. #11762710C22semidirect
74. #11762710C22semidirect
75. #11762709C22semidirect
76. #11762709C22semidirect
77. #11762709C22semidirect
78. #11762709C22semidirect
79. #11762709C22semidirect
80. #11762709C22semidirect
81. #11762709C22semidirect
82. #11762709C22semidirect
83. #11762703C22semidirect
84. #11762703C22semidirect
85. #11762703C22semidirect
86. #11762703C22semidirect
87. #11762702C22semidirect
88. #11762702C22semidirect
89. #11762702C22semidirect
90. #11762702C22semidirect
91. #11762701C22semidirect
92. #11762701C22semidirect
93. #11762701C22semidirect
94. #11762701C22semidirect
95. #11762700C22semidirect
96. #11762700C22semidirect
97. #11762700C22semidirect
98. #11762700C22semidirect
99. #11762699C22semidirect
100. #11762699C22semidirect
101. #11762699C22semidirect
102. #11762699C22semidirect
103. #11762698C22semidirect
104. #11762698C22semidirect
105. #11762698C22semidirect
106. #11762698C22semidirect
107. #11762697C22semidirect
108. #11762697C22semidirect
109. #11762697C22semidirect
110. #11762697C22semidirect
111. #11762689C22semidirect
112. #11762689C22semidirect
113. #11762689C22semidirect
114. #11762688C22semidirect
115. #11762688C22semidirect
116. #11762688C22semidirect
117. #11762687C22semidirect
118. #11762687C22semidirect
119. #11762687C22semidirect
120. #11762687C22semidirect
121. #11762687C22semidirect
122. #11762687C22semidirect
123. #11762686C22semidirect
124. #11762686C22semidirect
125. #11762686C22semidirect
126. #11762685C22semidirect
127. #11762685C22semidirect
128. #11762685C22semidirect
129. #11762685C22semidirect
130. #11762685C22semidirect
131. #11762685C22semidirect
132. #11762684C22semidirect
133. #11762683C22semidirect
134. #11762683C22semidirect
135. #11762682C22semidirect
136. #11762681C22semidirect
137. #11762680C22semidirect
138. #11762680C22semidirect
139. #11762671C22semidirect
140. #11762671C22semidirect
141. #11762668C22semidirect
142. #11762668C22semidirect
143. #11762666C22semidirect
144. #11762666C22semidirect
145. #11762665C22semidirect
154. #11762664C22semidirect
155. #11762664C22semidirect
156. #11762664C22semidirect
157. #11762664C22semidirect
158. #11762664C22semidirect
159. #11762664C22semidirect
160. #11762664C22semidirect
161. #11762664C22semidirect
162. C22⋊C4×Dic17C22semidirect
163. C22⋊C4×Dic17C22semidirect
164. C4×#63227C22semidirect
165. C4×#63227C22semidirect
166. C4×#63227C22semidirect
167. C4×#63227C22semidirect
168. C4×C22⋊Dic17C22semidirect
169. #11762656C22semidirect
170. #11762656C22semidirect
171. #11762656C22semidirect
172. #11762656C22semidirect
174. C2×C4×D4×C17C22semidirect
175. C22×C22⋊C4×C17C22semidirect
176. C17×#390C22semidirect
177. C17×#390C22semidirect
178. C17×#388C22semidirect
179. C17×#388C22semidirect
180. C17×#388C22semidirect
181. C17×#388C22semidirect
182. C17×#386C22semidirect
183. C17×#386C22semidirect
184. C17×#386C22semidirect
185. C17×#385C22semidirect
186. C17×#379C22semidirect
187. C4×C22⋊C4×C17C22semidirect
195. C24×D17C2×C4semidirect
208. C23×C4×C17C23semidirect
217. C23×Dic17C23semidirect
224. C2×D4×D17C2×C4semidirect
225. C2×D4×D17C2×C4semidirect
226. C2×D4×D17C2×C4semidirect
237. C22×C4×D17C23semidirect
238. C22×C4×D17C23semidirect
239. C17×#120C2×C4semidirect
241. C2×C4⋊C4×C17C23semidirect
242. C2×C4⋊C4×C17C23semidirect
243. C2×C4⋊C4×C17C23semidirect
258. C2×C22⋊C4×C17C23semidirect
259. C2×C22⋊C4×C17C23semidirect
260. C2×C22⋊C4×C17C23semidirect
261. C2×C42×C17C23semidirect
262. C2×C42×C17C23semidirect
263. C2×C42×C17C23semidirect
264. #10587639C2×C4semidirect
279. C2×C22⋊Dic17C23semidirect
280. C2×C22⋊Dic17C23semidirect
281. C2×C22⋊Dic17C23semidirect
282. #10587623C2×C4semidirect
283. #10587623C2×C4semidirect
284. #10587623C2×C4semidirect
327. C2×#63227C23semidirect
328. C2×#63227C23semidirect
329. C2×#63227C23semidirect
330. C2×#63227C23semidirect
331. C2×#63227C23semidirect
332. C2×#63227C23semidirect
333. C2×C4⋊Dic17C23semidirect
334. C2×C4⋊Dic17C23semidirect
335. C2×C4⋊Dic17C23semidirect
336. C2×#63225C23semidirect
337. C2×#63225C23semidirect
338. C2×#63225C23semidirect
339. C2×#63225C23semidirect
340. C2×#63225C23semidirect
341. C2×#63225C23semidirect
342. C2×C4×Dic17C23semidirect
343. C2×C4×Dic17C23semidirect
344. C2×C4×Dic17C23semidirect
345. C2×C4×Dic17C23semidirect
346. C2×C4×Dic17C23semidirect
347. C2×C4×Dic17C23semidirect
348. C2×C4×Dic17C23semidirect
349. C2×C4×Dic17C23semidirect
350. C2×C4×Dic17C23semidirect
353. #10587568C2×C4semidirect
354. #10587568C2×C4semidirect
355. #10587568C2×C4semidirect
365. C22⋊C4×D17C2×C4semidirect
366. C22⋊C4×D17C2×C4semidirect
367. C22⋊C4×D17C2×C4semidirect
370. C17×#95C23semidirect
371. C17×#95C23semidirect
372. C17×#95C23semidirect
373. C17×#95C23semidirect
374. C17×#95C23semidirect
375. C17×#95C23semidirect
376. #10587502C23semidirect
377. #10587502C23semidirect
378. #10587502C23semidirect
379. #10587502C23semidirect
380. #10587502C23semidirect
381. #10587502C23semidirect
382. #10587502C23semidirect
383. #10587502C23semidirect
384. #10587502C23semidirect
385. #10587502C23semidirect
386. #10587502C23semidirect
387. #10587502C23semidirect
388. #10587502C23semidirect
389. #10587502C23semidirect
390. #10587502C23semidirect
391. #10587502C23semidirect
392. #10587502C23semidirect
393. #10587502C23semidirect
907. #2321D17semidirect
1034. C2×C4×D4C2×D17semidirect
1053. C22×C22⋊C4C2×D17semidirect
1068. #390C2×D17semidirect
1069. #390C2×D17semidirect
1098. #388C2×D17semidirect
1099. #388C2×D17semidirect
1100. #388C2×D17semidirect
1101. #388C2×D17semidirect
1123. #386C2×D17semidirect
1124. #386C2×D17semidirect
1125. #386C2×D17semidirect
1133. #385C2×D17semidirect
1157. #379C2×D17semidirect
1169. C4×C22⋊C4C2×D17semidirect
1236. C23×C4C22×D17semidirect
1244. #120C4×D17semidirect
1264. C2×C4⋊C4C22×D17semidirect
1265. C2×C4⋊C4C22×D17semidirect
1266. C2×C4⋊C4C22×D17semidirect
1353. C2×C22⋊C4C22×D17semidirect
1354. C2×C22⋊C4C22×D17semidirect
1355. C2×C22⋊C4C22×D17semidirect
1365. C2×C42C22×D17semidirect
1366. C2×C42C22×D17semidirect
1367. C2×C42C22×D17semidirect
1386. #95C22×D17semidirect
1387. #95C22×D17semidirect
1388. #95C22×D17semidirect
1389. #95C22×D17semidirect
1390. #95C22×D17semidirect
1391. #95C22×D17semidirect
1392. C17#34356semidirect

Maximal subgroups

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

subgroupindex
C2×#120×D172
#145319242
#145319222
#145319212
#145317662
#145317642
#145317612
#145317602
#145316322
#145316312
#145316282
#145316272
#145316052
#145316022
D4×#632272
#145314462
#145314452
#145314432
#145314422
#145314402
#145314392
#145314372
#145313782
#145313632
#145313582
C2×#117626642
D17×#3792
C17×#23212
#3435617