Finite Group Databasebeta

← #17197695

Subgroups — #17197695

Order 4352.

2890 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763371C211yesmaximal, characteristic
2#14531943C211yesmaximal, characteristic, complemented
3#14531938C211yesmaximal, characteristic, complemented
4#14531930C211yesmaximal, characteristic, complemented
5#14531924C211yesmaximal, characteristic, complemented
6#14531914C211yesmaximal, characteristic, complemented
7#14531822C211yesmaximal, characteristic, complemented
8#14531820C211yesmaximal, characteristic, complemented
9#14531778C211yesmaximal, characteristic, complemented
10#14531778C211yesmaximal, characteristic, complemented
11#14531774C211yesmaximal, characteristic, complemented
12#14531774C211yesmaximal, characteristic, complemented
13#14531762C211yesmaximal, characteristic, complemented
14#14531633C211yesmaximal, characteristic, complemented
15C22⋊C4×C22⋊D17C211yesmaximal, characteristic, complemented
16#14531600C211yesmaximal, characteristic, complemented
17#14531579C211yesmaximal, characteristic, complemented
18#14531567C211yesmaximal, characteristic, complemented
19#14531549C211yesmaximal, characteristic, complemented
20#14531546C211yesmaximal, characteristic, complemented
21#14531477C211yesmaximal, characteristic, complemented
22#14531473C211yesmaximal, characteristic, complemented
23#14531446C211yesmaximal, characteristic, complemented
24#14531444C211yesmaximal, characteristic, complemented
25#14531441C211yesmaximal, characteristic, complemented
26#14531437C211yesmaximal, characteristic, complemented
27#14531365C211yesmaximal, characteristic, complemented
28C4×#10587568C211yesmaximal, characteristic, complemented
29#14531285C211yesmaximal, characteristic, complemented
30C2×#11762685C211yesmaximal, characteristic, complemented
31C17×#2342C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C23×C22⋊D17C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic, complemented
35#11763371C4116yescomplemented
36C2×#10587572C2211yescharacteristic
37C2×#10587572C2211yescharacteristic
38C2×#10587572C2211yescharacteristic
39C2×#10587572C2211yescharacteristic
40C2×#10587616C2211yescharacteristic
41C2×#10587616C2211yescharacteristic
42C2×#10587616C2211yescharacteristic
43C2×#10587616C2211yescharacteristic
44C2×#10587568C2211yescharacteristic
45C2×#10587568C2211yescharacteristic
46C2×#10587568C2211yescharacteristic
47C2×#10587568C2211yescharacteristic
48C2×C4×D68C2211yescharacteristic, complemented
49C2×C4×D68C2211yescharacteristic, complemented
50C2×#10587579C2211yescharacteristic, complemented
51C2×#10587579C2211yescharacteristic, complemented
52C2×C4×C22⋊D17C2211yescharacteristic
53C2×C4×C22⋊D17C2211yescharacteristic
54C2×#10587567C2211yescharacteristic
55C2×#10587567C2211yescharacteristic
56C2×#10587612C2211yescharacteristic, complemented
57C2×#10587563C2211yescharacteristic, complemented
58C2×#10587563C2211yescharacteristic, complemented
59C22×C22⋊Dic17C2211yescharacteristic
60C22×#63227C2211yescharacteristic, complemented
61C2×C22⋊C4×D17C2211yescharacteristic, complemented
62C2×C22⋊C4×D17C2211yescharacteristic, complemented
63#11762711C2211yescharacteristic, complemented
64#11762711C2211yescharacteristic, complemented
65#11762710C2211yescharacteristic, complemented
66#11762710C2211yescharacteristic, complemented
67#11762709C2211yescharacteristic
68#11762709C2211yescharacteristic
69#11762709C2211yescharacteristic
70#11762709C2211yescharacteristic
71#11762709C2211yescharacteristic, complemented
72#11762709C2211yescharacteristic, complemented
73#11762709C2211yescharacteristic, complemented
74#11762709C2211yescharacteristic, complemented
75#11762709C2211yescharacteristic, complemented
76#11762709C2211yescharacteristic, complemented
77#11762709C2211yescharacteristic, complemented
78#11762709C2211yescharacteristic, complemented
79#11762707C2211yescharacteristic, complemented
80#11762707C2211yescharacteristic, complemented
81#11762705C2211yescharacteristic, complemented
82#11762705C2211yescharacteristic, complemented
83#11762702C2211yescharacteristic, complemented
84#11762702C2211yescharacteristic, complemented
85#11762702C2211yescharacteristic, complemented
86#11762702C2211yescharacteristic, complemented
87#11762701C2211yescharacteristic, complemented
88#11762701C2211yescharacteristic, complemented
89#11762701C2211yescharacteristic, complemented
90#11762701C2211yescharacteristic, complemented
91#11762700C2211yescharacteristic, complemented
92#11762700C2211yescharacteristic, complemented
93#11762700C2211yescharacteristic, complemented
94#11762700C2211yescharacteristic, complemented
95#11762699C2211yescharacteristic, complemented
96#11762699C2211yescharacteristic, complemented
97#11762699C2211yescharacteristic, complemented
98#11762699C2211yescharacteristic, complemented
99#11762698C2211yescharacteristic, complemented
100#11762698C2211yescharacteristic, complemented
101#11762698C2211yescharacteristic, complemented
102#11762698C2211yescharacteristic, complemented
103#11762694C2211yescharacteristic, complemented
104#11762694C2211yescharacteristic, complemented
105#11762694C2211yescharacteristic, complemented
106#11762694C2211yescharacteristic, complemented
107#11762692C2211yescharacteristic, complemented
108#11762692C2211yescharacteristic, complemented
109#11762692C2211yescharacteristic, complemented
110#11762692C2211yescharacteristic, complemented
111#11762688C2211yescharacteristic
112#11762688C2211yescharacteristic
113#11762687C2211yescharacteristic, complemented
114#11762687C2211yescharacteristic, complemented
115#11762687C2211yescharacteristic, complemented
116#11762687C2211yescharacteristic, complemented
117#11762687C2211yescharacteristic, complemented
118#11762687C2211yescharacteristic, complemented
119#11762687C2211yescharacteristic, complemented
120#11762687C2211yescharacteristic, complemented
121#11762686C2211yescharacteristic
122#11762686C2211yescharacteristic
123#11762685C2211yescharacteristic
124#11762685C2211yescharacteristic
125#11762685C2211yescharacteristic
126#11762685C2211yescharacteristic
127#11762685C2211yescharacteristic, complemented
128#11762685C2211yescharacteristic, complemented
129#11762685C2211yescharacteristic, complemented
130#11762685C2211yescharacteristic, complemented
131#11762685C2211yescharacteristic, complemented
132#11762685C2211yescharacteristic, complemented
133#11762685C2211yescharacteristic, complemented
134#11762685C2211yescharacteristic, complemented
135#11762684C2211yescharacteristic, complemented
136#11762684C2211yescharacteristic, complemented
137#11762683C2211yescharacteristic, complemented
138#11762683C2211yescharacteristic, complemented
139#11762683C2211yescharacteristic, complemented
140#11762683C2211yescharacteristic, complemented
141#11762680C2211yescharacteristic, complemented
142#11762680C2211yescharacteristic, complemented
143#11762680C2211yescharacteristic, complemented
144#11762680C2211yescharacteristic, complemented
145#11762672C2211yescharacteristic, complemented
146#11762669C2211yescharacteristic, complemented
147#11762667C2211yescharacteristic, complemented
148#11762667C2211yescharacteristic, complemented
149#11762665C2211yescharacteristic
150#11762664C2211yescharacteristic, complemented
151#11762664C2211yescharacteristic, complemented
152#11762664C2211yescharacteristic, complemented
153#11762664C2211yescharacteristic, complemented
154C4⋊C4×Dic17C2211yescharacteristic, complemented
155C4⋊C4×Dic17C2211yescharacteristic, complemented
156C4×C4⋊Dic17C2211yescharacteristic, complemented
157C4×C4⋊Dic17C2211yescharacteristic, complemented
158C22⋊C4×Dic17C2211yescharacteristic, complemented
159C22⋊C4×Dic17C2211yescharacteristic, complemented
160C22⋊C4×Dic17C2211yescharacteristic, complemented
161C22⋊C4×Dic17C2211yescharacteristic, complemented
162C4×#63227C2211yescharacteristic, complemented
163C4×#63227C2211yescharacteristic, complemented
164C4×#63227C2211yescharacteristic, complemented
165C4×#63227C2211yescharacteristic, complemented
166C4×C22⋊Dic17C2211yescharacteristic, complemented
167#11762656C2211yescharacteristic, complemented
168#11762656C2211yescharacteristic, complemented
169#11762656C2211yescharacteristic, complemented
170#11762656C2211yescharacteristic, complemented
171C2×#10587502C2211yescharacteristic, complemented
172C2×#10587502C2211yescharacteristic, complemented
173C2×C17×#117C2211yescharacteristic, complemented
174C22×C22⋊C4×C17C2211yescharacteristic
175C22×C22⋊C4×C17C2211yescharacteristic
176C17×#388C2211yescharacteristic, complemented
177C17×#388C2211yescharacteristic, complemented
178C17×#388C2211yescharacteristic, complemented
179C17×#388C2211yescharacteristic, complemented
180C17×#385C2211yescharacteristic, complemented
181C17×#385C2211yescharacteristic, complemented
182C17×#381C2211yescharacteristic, complemented
183C17×#380C2211yescharacteristic, complemented
184C17×#379C2211yescharacteristic
185C4×C22⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic, complemented
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C25×C17C2311yescharacteristic
189C24×D17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C22×C22⋊D17—42no—
196C22×C22⋊D17—42no—
197C22×C22⋊D17—42no—
198C22×C22⋊D17—42no—
199C22×C22⋊D17C2×C418yescomplemented
200C22×C22⋊D17C2×C418yescomplemented
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C23×Dic17C2311yescharacteristic
210C23×Dic17C2311yescharacteristic
211C23×Dic17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C22×D68C2311yescharacteristic
214C22×D68C2311yescharacteristic
215C22×D68C2311yescharacteristic
216C22×D68C2311yescharacteristic
217C22×C4×D17—42no—
218C22×C4×D17—42no—
219C22×C4×D17—42no—
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C17×#117—42no—
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17—42no—
234C2×C22⋊C4×C17C2×C418yescomplemented
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊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×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C42×C17C2311yescharacteristic
250C2×C42×C17C2311yescharacteristic
251C2×C42×C17C2311yescharacteristic
252C2×C42×C17C2311yescharacteristic
253C2×C22⋊Dic17—42no—
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264#10587616C2×C418yescomplemented
265#10587616C2×C418yescomplemented
266#10587616C2×C418yescomplemented
267#10587616C2×C418yescomplemented
268C4×C22⋊D17—42no—
269C4×C22⋊D17—42no—
270C2×#63227—42no—
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#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
303#10587612—42no—
304C2×C4⋊Dic17C2311yescharacteristic
305C2×C4⋊Dic17C2311yescharacteristic
306C2×C4⋊Dic17C2311yescharacteristic
307C2×C4⋊Dic17C2311yescharacteristic
308C2×C4⋊Dic17C2311yescharacteristic
309C2×C4⋊Dic17C2311yescharacteristic
310C2×C4⋊Dic17C2311yescharacteristic
311C2×C4⋊Dic17C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324C2×C4×Dic17C2311yescharacteristic
325C2×C4×Dic17C2311yescharacteristic
326C2×C4×Dic17C2311yescharacteristic
327C2×C4×Dic17C2311yescharacteristic
328C2×C4×Dic17C2311yescharacteristic
329C2×C4×Dic17C2311yescharacteristic
330C2×C4×Dic17C2311yescharacteristic
331C2×C4×Dic17C2311yescharacteristic
332#10587579—42no—
333#10587579—42no—
334#10587572C2×C418yescomplemented
335#10587572C2×C418yescomplemented
336#10587572C2×C418yescomplemented
337#10587572C2×C418yescomplemented
338#10587568C2×C418yescomplemented
339#10587568C2×C418yescomplemented
340#10587568C2×C418yescomplemented
341#10587568C2×C418yescomplemented
342#10587567—42no—
343#10587567—42no—
344C22⋊C4×D17—42no—
345C22⋊C4×D17—42no—
346#10587563—42no—
347#10587563—42no—
348C4×D68—42no—
349C4×D68—42no—
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
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×C17—22no—
383C24×C17—22no—
384C24×C17—41no—
385C24×C17—41no—
386C24×C17—41no—
387C24×C17—41no—
388C24×C17C22×C414yes—
389C24×C17C2411yescharacteristic
390C24×C17C2411yescharacteristic
391C24×C17C2411yescharacteristic
392C23×D17—22no—
393C23×D17—22no—
394C23×D17—41no—
395C23×D17—41no—
396C23×D17—41no—
397C23×D17—41no—
398C23×D17—41no—
399C23×D17—41no—
400C23×D17—41no—
401C23×D17—41no—
402C23×D17—41no—
403C23×D17—41no—
404C23×D17C22×C414yes—
405C23×D17C22×C414yescomplemented
406C23×D17C2411yescharacteristic
407C23×D17C2411yescharacteristic
408C23×D17C2411yescharacteristic
409C23×D17C2411yescharacteristic
410C22×C4×C17—22no—
411C22×C4×C17—22no—
412C22×C4×C17—22no—
413C22×C4×C17—41no—
414C22×C4×C17—41no—
415C22×C4×C17—41no—
416C22×C4×C17—41no—
417C22×C4×C17—41no—
418C22×C4×C17—41no—
419C22×C4×C17—41no—
420C22×C4×C17C22×C414yescomplemented
421C22×C4×C17C22×C414yescomplemented
422C22×C4×C17C2411yescharacteristic
423C22×C4×C17C2411yescharacteristic
424C22×C4×C17C2411yescharacteristic
425C22×C4×C17C2411yescharacteristic
426C22×C4×C17C2411yescharacteristic
427C22×C4×C17C2411yescharacteristic
428C22×C4×C17C2411yescharacteristic
429C22×C4×C17C2411yescharacteristic
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C2×C22⋊D17—22no—
435C2×C22⋊D17—22no—
436C2×C22⋊D17—22no—
437C2×C22⋊D17—22no—
438C2×C22⋊D17—416no—
439C2×C22⋊D17—41no—
440C2×C22⋊D17—41no—
441C2×C22⋊D17—41no—
442C2×C22⋊D17—41no—
443C2×C22⋊D17—41no—
444C2×C22⋊D17—41no—
445C2×C22⋊D17—41no—
446C2×C22⋊D17—41no—
447C2×C22⋊D17—41no—
448C2×C22⋊D17—41no—
449C2×C22⋊D17—41no—
450C2×C22⋊D17—41no—
451C2×C22⋊D17—416no—
452C2×C22⋊D17C22×C414yes—
453C2×C22⋊D17C22×C414yes—
454C2×C22⋊D17C22×C414yes—
455C2×C22⋊D17C22×C414yes—
456C2×C22⋊D17C22×C414yes—
457C2×C22⋊D17C22×C414yes—
458C2×C22⋊D17C22×C414yescomplemented
459C2×C22⋊D17C22×C414yescomplemented
460C22×Dic17—22no—
461C22×Dic17—22no—
462C22×Dic17—22no—
463C22×Dic17—22no—
464C22×Dic17—22no—
465C22×Dic17—41no—
466C22×Dic17—41no—
467C22×Dic17—41no—
468C22×Dic17—41no—
469C22×Dic17—41no—
470C22×Dic17C22×C414yes—
471C22×Dic17C22×C414yescomplemented
472C22×Dic17C2411yescharacteristic
473C22×Dic17C2411yescharacteristic
474C22×Dic17C2411yescharacteristic
475C22×Dic17C2411yescharacteristic
476C22×Dic17C2411yescharacteristic
477C22×Dic17C2411yescharacteristic
478C22×Dic17C2411yescharacteristic
479C22×Dic17C2411yescharacteristic
480C22×Dic17C2411yescharacteristic
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483C22×Dic17C2411yescharacteristic
484C2×D68—41no—
485C2×D68—41no—
486C2×D68—41no—
487C2×D68—41no—
488C2×D68—41no—
489C2×D68—41no—
490C2×D68—41no—
491C2×D68—41no—
492C2×D68C22×C414yes—
493C2×D68C22×C414yes—
494C2×D68C22×C414yes—
495C2×D68C22×C414yes—
496C2×C4×D17—22no—
497C2×C4×D17—22no—
498C2×C4×D17—22no—
499C2×C4×D17—22no—
500C2×C4×D17—22no—
501C2×C4×D17—22no—
502C2×C4×D17—41no—
503C2×C4×D17—41no—
504C2×C4×D17—41no—
505C2×C4×D17—41no—
506C2×C4×D17—41no—
507C2×C4×D17—41no—
508C2×C4×D17—41no—
509C2×C4×D17—41no—
510C2×C4×D17—416no—
511C2×C4×D17—41no—
512C2×C4×D17—41no—
513C2×C4×D17—41no—
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—
521C4⋊C4×C17—22no—
522C4⋊C4×C17—41no—
523C4⋊C4×C17—41no—
524C4⋊C4×C17—41no—
525C22⋊C4×C17—22no—
526C22⋊C4×C17—22no—
527C22⋊C4×C17—22no—
528C22⋊C4×C17—22no—
529C22⋊C4×C17—41no—
530C22⋊C4×C17—41no—
531C22⋊C4×C17—41no—
532C22⋊C4×C17—41no—
533C22⋊C4×C17—41no—
534C22⋊C4×C17—41no—
535C22⋊C4×C17C22×C414yes—
536C22⋊C4×C17C22×C414yes—
537C22⋊C4×C17C22×C414yescomplemented
538C22⋊C4×C17C22×C414yescomplemented
539C42×C17—22no—
540C42×C17—41no—
541C42×C17—41no—
542C42×C17—41no—
543C22⋊Dic17—22no—
544C22⋊Dic17—22no—
545C22⋊Dic17—22no—
546C22⋊Dic17—22no—
547C22⋊Dic17—41no—
548C22⋊Dic17—41no—
549C22⋊Dic17—41no—
550C22⋊Dic17—41no—
551C22⋊Dic17—41no—
552C22⋊Dic17—41no—
553#63227—22no—
554#63227—22no—
555#63227—41no—
556#63227—41no—
557#63227—41no—
558#63227—41no—
559#63227—41no—
560#63227—41no—
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#63227C22×C414yes—
578#63227C22×C414yes—
579#63227C22×C414yes—
580#63227C22×C414yes—
581#63227C22×C414yescomplemented
582#63227C22×C414yescomplemented
583#63227C22×C414yescomplemented
584#63227C22×C414yescomplemented
585C4⋊Dic17—22no—
586C4⋊Dic17—41no—
587C4⋊Dic17—41no—
588C4⋊Dic17—41no—
589C4⋊Dic17C22×C414yescomplemented
590C4⋊Dic17C22×C414yescomplemented
591C4⋊Dic17C22×C414yescomplemented
592C4⋊Dic17C22×C414yescomplemented
593#63225—41no—
594#63225—41no—
595#63225—41no—
596#63225—41no—
597#63225—41no—
598#63225—41no—
599#63225—41no—
600#63225—41no—
601C4×Dic17—22no—
602C4×Dic17—41no—
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×Dic17—41no—
612C4×Dic17—41no—
613#34407—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×C17—28no—
631C23×C17—44no—
632C23×C17—44no—
633C23×C17—82no—
634C23×C17—82no—
635C23×C17—82no—
636C23×C17—82no—
637C23×C17C23×C412yes—
638C23×C17C23×C412yes—
639C23×C17C23×C412yes—
640C23×C17H(5,𝔽2)12yes—
641C23×C17H(5,𝔽2)12yes—
642C23×C17C2511yescharacteristic
643C22×D17—28no—
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—21no—
662C22×D17—21no—
663C22×D17—21no—
664C22×D17—21no—
665C22×D17—21no—
666C22×D17—21no—
667C22×D17—21no—
668C22×D17—44no—
669C22×D17—44no—
670C22×D17—44no—
671C22×D17—44no—
672C22×D17—44no—
673C22×D17—44no—
674C22×D17—44no—
675C22×D17—44no—
676C22×D17—44no—
677C22×D17—82no—
678C22×D17—82no—
679C22×D17—82no—
680C22×D17—82no—
681C22×D17C23×C412yes—
682C22×D17C23×C412yes—
683C22×D17C23×C412yes—
684C22×D17C23×C412yes—
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—21no—
715C2×C4×C17—21no—
716C2×C4×C17—44no—
717C2×C4×C17—44no—
718C2×C4×C17—44no—
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—28no—
726C22⋊D17—28no—
727C22⋊D17—44no—
728C22⋊D17—44no—
729C22⋊D17—44no—
730C22⋊D17—44no—
731C22⋊D17—44no—
732C22⋊D17—44no—
733C2×Dic17—28no—
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—21no—
765C2×Dic17—44no—
766C2×Dic17—44no—
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×#534—171no—
786#2377—171no—
787#2377—171no—
788#2376—171no—
789#2375—171no—
790#2374—171no—
791#2363—171no—
792#2363—171no—
793#2359—171no—
794#2359—171no—
795#2359—171no—
796#2359—171no—
797#2358—171no—
798#2342—171no—
799#2342D1711yescharacteristic, complemented
800D4×C22⋊C4—171no—
801D4×C22⋊C4—171no—
802#2335—171no—
803#2335—171no—
804#2333—171no—
805#2333—171no—
806#2324—171no—
807#2324—171no—
808#2321—171no—
809#2321—171no—
810#2321—171no—
811#2321—171no—
812#2309—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—88no—
837C22×C17#51814yes—
838C22×C17C24×C411yescharacteristic
839C22×C17C2×H(5,𝔽2)11yescharacteristic
840C22×C17C2×H(5,𝔽2)11yescharacteristic
841C22×C17C2×H(5,𝔽2)11yescharacteristic
842C22×C17C2×H(5,𝔽2)11yescharacteristic
843C22×C17#58511yescharacteristic
844C22×C17#58511yescharacteristic
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—22no—
857C2×D17—416no—
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—41no—
874C2×D17—88no—
875C4×C17—22no—
876C4×C17—22no—
877C4×C17—22no—
878C4×C17—22no—
879C4×C17—22no—
880C4×C17—41no—
881C4×C17—41no—
882C4×C17—41no—
883C4×C17—41no—
884C4×C17—41no—
885C4×C17—41no—
886C4×C17—41no—
887Dic17—22no—
888Dic17—22no—
889Dic17—22no—
890Dic17—22no—
891Dic17—22no—
892Dic17—41no—
893Dic17—41no—
894Dic17—41no—
895Dic17—41no—
896Dic17—41no—
897Dic17—41no—
898Dic17—41no—
899C23×D4—171no—
900C23×D4—171no—
901C24×C4—171no—
902#534—1716no—
903C2×#123—171no—
904C2×#123—171no—
905C2×#123—171no—
906C2×#123—171no—
907C2×#121—171no—
908C2×#121—171no—
909C2×#121—171no—
910C2×#121—171no—
911C2×#120—171no—
912C2×#120—171no—
913C2×#120—171no—
914C2×#120—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×#117—171no—
924C2×#117—171no—
925C2×#117—171no—
926C2×#117C2×D1711yescharacteristic, complemented
927C22×C22⋊C4—171no—
928C22×C22⋊C4—171no—
929C22×C22⋊C4—171no—
930C22×C22⋊C4—171no—
931C22×C22⋊C4C2×D1711yescharacteristic
932C22×C22⋊C4C2×D1711yescharacteristic
933#390—171no—
934#390—171no—
935#390—171no—
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#390—171no—
945#390—171no—
946#390—171no—
947#390—171no—
948#390—171no—
949#389—171no—
950#389—171no—
951#389—171no—
952#389—171no—
953#388—171no—
954#388—171no—
955#388—171no—
956#388—171no—
957#388—171no—
958#388—171no—
959#388—171no—
960#388—171no—
961#388—171no—
962#388—171no—
963#388—171no—
964#388—171no—
965#388—171no—
966#388—171no—
967#388—171no—
968#388—171no—
969#388—171no—
970#388—171no—
971#388—171no—
972#388—171no—
973#388C2×D1711yescharacteristic, complemented
974#388C2×D1711yescharacteristic, complemented
975#388C2×D1711yescharacteristic, complemented
976#388C2×D1711yescharacteristic, complemented
977#387—171no—
978#387—171no—
979#387—171no—
980#387—171no—
981#387—171no—
982#387—171no—
983#387—171no—
984#387—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#386—171no—
1005#386—171no—
1006#386—171no—
1007#386—171no—
1008#386—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#385C2×D1711yescharacteristic, complemented
1020#385C2×D1711yescharacteristic, complemented
1021#381—171no—
1022#381C2×D1711yescharacteristic, complemented
1023#380—171no—
1024#380—171no—
1025#380—171no—
1026#380C2×D1711yescharacteristic, complemented
1027#379—171no—
1028#379—171no—
1029#379—171no—
1030#379—171no—
1031#379—171no—
1032#379C2×D1711yescharacteristic
1033C4×C4⋊C4—171no—
1034C4×C4⋊C4—171no—
1035C4×C4⋊C4—171no—
1036C4×C4⋊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⋊C4—171no—
1048C4×C22⋊C4—171no—
1049C4×C22⋊C4—171no—
1050C4×C22⋊C4C2×D1711yescharacteristic, complemented
1051C4×C22⋊C4C2×D1711yescharacteristic, complemented
1052C4×C22⋊C4C2×D1711yescharacteristic, complemented
1053C2×#95—171no—
1054C2×#95—171no—
1055C2×C17—24no—
1056C2×C17—42no—
1057C2×C17—42no—
1058C2×C17C2×#51811yescharacteristic
1059C2×C17C4×H(5,𝔽2)11yescharacteristic
1060C2×C17C4×H(5,𝔽2)11yescharacteristic
1061C2×C17#353211yescharacteristic
1062C2×C17#353311yescharacteristic
1063C2×C17#354211yescharacteristic
1064C2×C17#354211yescharacteristic
1065D17—42no—
1066D17—42no—
1067D17—42no—
1068D17—42no—
1069C25—171no—
1070C25—171no—
1071C25C22×D1711yescharacteristic
1072C22×D4—171no—
1073C22×D4—171no—
1074C22×D4—178no—
1075C22×D4—178no—
1076C22×D4—171no—
1077C22×D4—171no—
1078C22×D4—171no—
1079C22×D4—171no—
1080C22×D4—171no—
1081C22×D4—171no—
1082C22×D4—171no—
1083C22×D4—171no—
1084C22×D4—171no—
1085C22×D4—171no—
1086C22×D4—682no—
1087C22×D4—682no—
1088C22×D4—682no—
1089C22×D4—682no—
1090C23×C4—171no—
1091C23×C4—171no—
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—682no—
1103C23×C4—682no—
1104C23×C4—682no—
1105C23×C4C22×D1711yescharacteristic
1106C23×C4C22×D1711yescharacteristic
1107C23×C4C22×D1711yescharacteristic
1108C23×C4C22×D1711yescharacteristic
1109#123—178no—
1110#123—178no—
1111#123—178no—
1112#123—178no—
1113#121—178no—
1114#121—178no—
1115#121—178no—
1116#121—178no—
1117#120—178no—
1118#120—178no—
1119#120—178no—
1120#120—178no—
1121C4×D4—682no—
1122C4×D4—682no—
1123C4×D4—682no—
1124C4×D4—682no—
1125C4×D4—682no—
1126C4×D4—682no—
1127C4×D4—682no—
1128C4×D4—682no—
1129#117—42no—
1130#117—682no—
1131#117—682no—
1132#117—682no—
1133C2×C4⋊C4—171no—
1134C2×C4⋊C4—171no—
1135C2×C4⋊C4—171no—
1136C2×C4⋊C4—171no—
1137C2×C4⋊C4—171no—
1138C2×C4⋊C4—171no—
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⋊C4C22×D1711yescharacteristic
1150C2×C4⋊C4C22×D1711yescharacteristic
1151C2×C4⋊C4C22×D1711yescharacteristic
1152C2×C4⋊C4C22×D1711yescharacteristic
1153C2×C22⋊C4—42no—
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—171no—
1196C2×C22⋊C4—682no—
1197C2×C22⋊C4—682no—
1198C2×C22⋊C4—682no—
1199C2×C22⋊C4—682no—
1200C2×C22⋊C4C4×D1718yescomplemented
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×C22⋊C4C22×D1711yescharacteristic
1209C2×C22⋊C4C22×D1711yescharacteristic
1210C2×C22⋊C4C22×D1711yescharacteristic
1211C2×C22⋊C4C22×D1711yescharacteristic
1212C2×C22⋊C4C22×D1711yescharacteristic
1213C2×C22⋊C4C22×D1711yescharacteristic
1214C2×C22⋊C4C22×D1711yescharacteristic
1215C2×C42—171no—
1216C2×C42—171no—
1217C2×C42—171no—
1218C2×C42—171no—
1219C2×C42—171no—
1220C2×C42—171no—
1221C2×C42—171no—
1222C2×C42—171no—
1223C2×C42—171no—
1224C2×C42—171no—
1225C2×C42—171no—
1226C2×C42—171no—
1227C2×C42C22×D1711yescharacteristic
1228C2×C42C22×D1711yescharacteristic
1229C2×C42C22×D1711yescharacteristic
1230C2×C42C22×D1711yescharacteristic
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#95—171no—
1251#95—171no—
1252#95—171no—
1253#95—171no—
1254#95—171no—
1255#95C22×D1711yescharacteristic
1256#95C22×D1711yescharacteristic
1257#95C22×D1711yescharacteristic
1258#95C22×D1711yescharacteristic
1259#95C22×D1711yescharacteristic
1260#95C22×D1711yescharacteristic
1261#95C22×D1711yescharacteristic
1262#95C22×D1711yescharacteristic
1263C17#3440711yescharacteristic, complemented, Sylow
1264C24—22no—
1265C24—22no—
1266C24—41no—
1267C24—41no—
1268C24—41no—
1269C24—41no—
1270C24—171no—
1271C24—171no—
1272C24—171no—
1273C24—171no—
1274C24—174no—
1275C24—174no—
1276C24—342no—
1277C24—342no—
1278C24—681no—
1279C24—681no—
1280C24—681no—
1281C24—681no—
1282C24—681no—
1283C24—681no—
1284C24—681no—
1285C24—681no—
1286C24—681no—
1287C24—681no—
1288C24C2×C4×D1714yes—
1289C24C23×D1711yescharacteristic
1290C24C23×D1711yescharacteristic
1291C24C23×D1711yescharacteristic
1292C2×D4—174no—
1293C2×D4—174no—
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—342no—
1305C2×D4—342no—
1306C2×D4—342no—
1307C2×D4—342no—
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—6816no—
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—6816no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—174no—
1341C22×C4—171no—
1342C22×C4—171no—
1343C22×C4—171no—
1344C22×C4—171no—
1345C22×C4—171no—
1346C22×C4—174no—
1347C22×C4—171no—
1348C22×C4—171no—
1349C22×C4—171no—
1350C22×C4—171no—
1351C22×C4—171no—
1352C22×C4—171no—
1353C22×C4—171no—
1354C22×C4—342no—
1355C22×C4—342no—
1356C22×C4—342no—
1357C22×C4—342no—
1358C22×C4—342no—
1359C22×C4—342no—
1360C22×C4—342no—
1361C22×C4—342no—
1362C22×C4—342no—
1363C22×C4—342no—
1364C22×C4—342no—
1365C22×C4—681no—
1366C22×C4—681no—
1367C22×C4—681no—
1368C22×C4—681no—
1369C22×C4—681no—
1370C22×C4—681no—
1371C22×C4—681no—
1372C22×C4—681no—
1373C22×C4—681no—
1374C22×C4—681no—
1375C22×C4—681no—
1376C22×C4—681no—
1377C22×C4—681no—
1378C22×C4—681no—
1379C22×C4—681no—
1380C22×C4—681no—
1381C22×C4—681no—
1382C22×C4—681no—
1383C22×C4—6816no—
1384C22×C4—681no—
1385C22×C4—681no—
1386C22×C4—681no—
1387C22×C4—681no—
1388C22×C4—681no—
1389C22×C4C2×C4×D1714yescomplemented
1390C22×C4C2×C4×D1714yescomplemented
1391C22×C4C23×D1711yescharacteristic
1392C22×C4C23×D1711yescharacteristic
1393C22×C4C23×D1711yescharacteristic
1394C22×C4C23×D1711yescharacteristic
1395C22×C4C23×D1711yescharacteristic
1396C22×C4C23×D1711yescharacteristic
1397C22×C4C23×D1711yescharacteristic
1398C22×C4C23×D1711yescharacteristic
1399C22×C4C23×D1711yescharacteristic
1400C22×C4C23×D1711yescharacteristic
1401C22×C4C23×D1711yescharacteristic
1402C22×C4C23×D1711yescharacteristic
1403C4⋊C4—22no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—174no—
1408C4⋊C4—174no—
1409C4⋊C4—174no—
1410C4⋊C4—174no—
1411C4⋊C4—342no—
1412C4⋊C4—681no—
1413C4⋊C4—681no—
1414C4⋊C4—681no—
1415C4⋊C4—681no—
1416C4⋊C4—681no—
1417C4⋊C4—681no—
1418C4⋊C4—681no—
1419C4⋊C4—681no—
1420C4⋊C4—681no—
1421C4⋊C4—681no—
1422C4⋊C4—681no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—174no—
1434C22⋊C4—174no—
1435C22⋊C4—174no—
1436C22⋊C4—174no—
1437C22⋊C4—174no—
1438C22⋊C4—174no—
1439C22⋊C4—174no—
1440C22⋊C4—174no—
1441C22⋊C4—342no—
1442C22⋊C4—342no—
1443C22⋊C4—342no—
1444C22⋊C4—342no—
1445C22⋊C4—342no—
1446C22⋊C4—342no—
1447C22⋊C4—681no—
1448C22⋊C4—681no—
1449C22⋊C4—681no—
1450C22⋊C4—681no—
1451C22⋊C4—681no—
1452C22⋊C4—681no—
1453C22⋊C4—681no—
1454C22⋊C4—681no—
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⋊C4C2×C4×D1714yes—
1476C22⋊C4C2×C4×D1714yes—
1477C22⋊C4C2×C4×D1714yescomplemented
1478C22⋊C4C2×C4×D1714yescomplemented
1479C42—22no—
1480C42—41no—
1481C42—41no—
1482C42—41no—
1483C42—342no—
1484C42—681no—
1485C42—681no—
1486C42—681no—
1487C42—681no—
1488C42—681no—
1489C42—681no—
1490C42—681no—
1491C42—681no—
1492C42—681no—
1493C42—681no—
1494C42—681no—
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—21no—
1511C23—28no—
1512C23—44no—
1513C23—44no—
1514C23—82no—
1515C23—82no—
1516C23—82no—
1517C23—82no—
1518C23—172no—
1519C23—172no—
1520C23—172no—
1521C23—172no—
1522C23—348no—
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—341no—
1540C23—341no—
1541C23—341no—
1542C23—341no—
1543C23—341no—
1544C23—341no—
1545C23—341no—
1546C23—341no—
1547C23—684no—
1548C23—684no—
1549C23—684no—
1550C23—684no—
1551C23—684no—
1552C23—684no—
1553C23—684no—
1554C23—684no—
1555C23—684no—
1556C23—1362no—
1557C23—1362no—
1558C23—1362no—
1559C23—1362no—
1560C23C22×C4×D1712yes—
1561C23C22×C4×D1712yes—
1562C23C22×C4×D1712yes—
1563C23#1058769612yes—
1564C23#1058769612yes—
1565C23C24×D1711yescharacteristic
1566D4—348no—
1567D4—348no—
1568D4—684no—
1569D4—684no—
1570D4—684no—
1571D4—684no—
1572D4—684no—
1573D4—684no—
1574D4—684no—
1575D4—684no—
1576D4—684no—
1577D4—684no—
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—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—82no—
1613C2×C4—172no—
1614C2×C4—172no—
1615C2×C4—172no—
1616C2×C4—172no—
1617C2×C4—172no—
1618C2×C4—348no—
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—341no—
1649C2×C4—341no—
1650C2×C4—684no—
1651C2×C4—684no—
1652C2×C4—684no—
1653C2×C4—684no—
1654C2×C4—684no—
1655C2×C4—684no—
1656C2×C4—1362no—
1657C2×C4—1362no—
1658C2×C4—1362no—
1659C2×C4—1362no—
1660C2×C4—1362no—
1661C2×C4C22×C4×D1712yes—
1662C2×C4C22×C4×D1712yes—
1663C2×C4C22×C4×D1712yes—
1664C2×C4C22×C4×D1712yes—
1665C2×C4#1058769112yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—88no—
1687C22—342no—
1688C22—342no—
1689C22—342no—
1690C22—342no—
1691C22—342no—
1692C22—342no—
1693C22—342no—
1694C22—342no—
1695C22—342no—
1696C22—342no—
1697C22—342no—
1698C22—342no—
1699C22—6816no—
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—681no—
1715C22—681no—
1716C22—1368no—
1717C22#1176328314yes—
1718C22C23×C4×D1711yescharacteristic
1719C22H(5,𝔽2)×D1711yescharacteristic
1720C22C2×#1058769111yescharacteristic
1721C22C2×#1058769611yescharacteristic
1722C22C2×#1058769611yescharacteristic
1723C22#1176364411yescharacteristic
1724C22#1176364511yescharacteristic
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—342no—
1738C4—342no—
1739C4—342no—
1740C4—342no—
1741C4—342no—
1742C4—681no—
1743C4—681no—
1744C4—681no—
1745C4—681no—
1746C4—681no—
1747C4—681no—
1748C4—681no—
1749C2—24no—
1750C2—42no—
1751C2—42no—
1752C2—682no—
1753C2—682no—
1754C2—682no—
1755C2—682no—
1756C2C2×#1176328311yescharacteristic
1757C2#1454198811yescharacteristic
1758C2C4×#1058769111yescharacteristic
1759C2#1454293311yescharacteristic
1760C2#1454295611yescharacteristic
1761C2#1454308611yescharacteristic
1762C2#1454309311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2342C2
socle, cosocleC23×C17C25
prime radicalC2×#11763371C2
hypercenter#2342D17
hypocenterC17#34407
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
2. #14531943C2semidirect
3. #14531938C2semidirect
4. #14531930C2semidirect
5. #14531924C2semidirect
6. #14531914C2semidirect
7. #14531822C2semidirect
8. #14531820C2semidirect
9. #14531778C2semidirect
10. #14531778C2semidirect
11. #14531774C2semidirect
12. #14531774C2semidirect
13. #14531762C2semidirect
14. #14531633C2semidirect
15. C22⋊C4×C22⋊D17C2semidirect
16. #14531600C2semidirect
17. #14531579C2semidirect
18. #14531567C2semidirect
19. #14531549C2semidirect
20. #14531546C2semidirect
21. #14531477C2semidirect
22. #14531473C2semidirect
23. #14531446C2semidirect
24. #14531444C2semidirect
25. #14531441C2semidirect
26. #14531437C2semidirect
27. #14531365C2semidirect
28. C4×#10587568C2semidirect
29. #14531285C2semidirect
30. C2×#11762685C2semidirect
31. C17×#2342C2semidirect
34. C23×C4×D17C22semidirect
35. #11763371C4semidirect
48. C2×C4×D68C22semidirect
49. C2×C4×D68C22semidirect
50. C2×#10587579C22semidirect
51. C2×#10587579C22semidirect
56. C2×#10587612C22semidirect
57. C2×#10587563C22semidirect
58. C2×#10587563C22semidirect
60. C22×#63227C22semidirect
61. C2×C22⋊C4×D17C22semidirect
62. C2×C22⋊C4×D17C22semidirect
63. #11762711C22semidirect
64. #11762711C22semidirect
65. #11762710C22semidirect
66. #11762710C22semidirect
71. #11762709C22semidirect
72. #11762709C22semidirect
73. #11762709C22semidirect
74. #11762709C22semidirect
75. #11762709C22semidirect
76. #11762709C22semidirect
77. #11762709C22semidirect
78. #11762709C22semidirect
79. #11762707C22semidirect
80. #11762707C22semidirect
81. #11762705C22semidirect
82. #11762705C22semidirect
83. #11762702C22semidirect
84. #11762702C22semidirect
85. #11762702C22semidirect
86. #11762702C22semidirect
87. #11762701C22semidirect
88. #11762701C22semidirect
89. #11762701C22semidirect
90. #11762701C22semidirect
91. #11762700C22semidirect
92. #11762700C22semidirect
93. #11762700C22semidirect
94. #11762700C22semidirect
95. #11762699C22semidirect
96. #11762699C22semidirect
97. #11762699C22semidirect
98. #11762699C22semidirect
99. #11762698C22semidirect
100. #11762698C22semidirect
101. #11762698C22semidirect
102. #11762698C22semidirect
103. #11762694C22semidirect
104. #11762694C22semidirect
105. #11762694C22semidirect
106. #11762694C22semidirect
107. #11762692C22semidirect
108. #11762692C22semidirect
109. #11762692C22semidirect
110. #11762692C22semidirect
113. #11762687C22semidirect
114. #11762687C22semidirect
115. #11762687C22semidirect
116. #11762687C22semidirect
117. #11762687C22semidirect
118. #11762687C22semidirect
119. #11762687C22semidirect
120. #11762687C22semidirect
127. #11762685C22semidirect
128. #11762685C22semidirect
129. #11762685C22semidirect
130. #11762685C22semidirect
131. #11762685C22semidirect
132. #11762685C22semidirect
133. #11762685C22semidirect
134. #11762685C22semidirect
135. #11762684C22semidirect
136. #11762684C22semidirect
137. #11762683C22semidirect
138. #11762683C22semidirect
139. #11762683C22semidirect
140. #11762683C22semidirect
141. #11762680C22semidirect
142. #11762680C22semidirect
143. #11762680C22semidirect
144. #11762680C22semidirect
145. #11762672C22semidirect
146. #11762669C22semidirect
147. #11762667C22semidirect
148. #11762667C22semidirect
150. #11762664C22semidirect
151. #11762664C22semidirect
152. #11762664C22semidirect
153. #11762664C22semidirect
154. C4⋊C4×Dic17C22semidirect
155. C4⋊C4×Dic17C22semidirect
156. C4×C4⋊Dic17C22semidirect
157. C4×C4⋊Dic17C22semidirect
158. C22⋊C4×Dic17C22semidirect
159. C22⋊C4×Dic17C22semidirect
160. C22⋊C4×Dic17C22semidirect
161. C22⋊C4×Dic17C22semidirect
162. C4×#63227C22semidirect
163. C4×#63227C22semidirect
164. C4×#63227C22semidirect
165. C4×#63227C22semidirect
166. C4×C22⋊Dic17C22semidirect
167. #11762656C22semidirect
168. #11762656C22semidirect
169. #11762656C22semidirect
170. #11762656C22semidirect
171. C2×#10587502C22semidirect
172. C2×#10587502C22semidirect
173. C2×C17×#117C22semidirect
176. C17×#388C22semidirect
177. C17×#388C22semidirect
178. C17×#388C22semidirect
179. C17×#388C22semidirect
180. C17×#385C22semidirect
181. C17×#385C22semidirect
182. C17×#381C22semidirect
183. C17×#380C22semidirect
185. C4×C22⋊C4×C17C22semidirect
186. C4×C22⋊C4×C17C22semidirect
187. C4×C22⋊C4×C17C22semidirect
199. C22×C22⋊D17C2×C4semidirect
200. C22×C22⋊D17C2×C4semidirect
234. C2×C22⋊C4×C17C2×C4semidirect
264. #10587616C2×C4semidirect
265. #10587616C2×C4semidirect
266. #10587616C2×C4semidirect
267. #10587616C2×C4semidirect
334. #10587572C2×C4semidirect
335. #10587572C2×C4semidirect
336. #10587572C2×C4semidirect
337. #10587572C2×C4semidirect
338. #10587568C2×C4semidirect
339. #10587568C2×C4semidirect
340. #10587568C2×C4semidirect
341. #10587568C2×C4semidirect
405. C23×D17C22×C4semidirect
420. C22×C4×C17C22×C4semidirect
421. C22×C4×C17C22×C4semidirect
458. C2×C22⋊D17C22×C4semidirect
459. C2×C22⋊D17C22×C4semidirect
471. C22×Dic17C22×C4semidirect
537. C22⋊C4×C17C22×C4semidirect
538. C22⋊C4×C17C22×C4semidirect
581. #63227C22×C4semidirect
582. #63227C22×C4semidirect
583. #63227C22×C4semidirect
584. #63227C22×C4semidirect
589. C4⋊Dic17C22×C4semidirect
590. C4⋊Dic17C22×C4semidirect
591. C4⋊Dic17C22×C4semidirect
592. C4⋊Dic17C22×C4semidirect
799. #2342D17semidirect
926. C2×#117C2×D17semidirect
973. #388C2×D17semidirect
974. #388C2×D17semidirect
975. #388C2×D17semidirect
976. #388C2×D17semidirect
1019. #385C2×D17semidirect
1020. #385C2×D17semidirect
1022. #381C2×D17semidirect
1026. #380C2×D17semidirect
1050. C4×C22⋊C4C2×D17semidirect
1051. C4×C22⋊C4C2×D17semidirect
1052. C4×C22⋊C4C2×D17semidirect
1200. C2×C22⋊C4C4×D17semidirect
1263. C17#34407semidirect
1389. C22×C4C2×C4×D17semidirect
1390. C22×C4C2×C4×D17semidirect
1477. C22⋊C4C2×C4×D17semidirect
1478. 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×#117633712
#145319432
#145319382
#145319302
#145319242
#145319142
#145318222
#145318202
#145317782
#145317742
#145317622
#145316332
C22⋊C4×C22⋊D172
#145316002
#145315792
#145315672
#145315492
#145315462
#145314772
#145314732
#145314462
#145314442
#145314412
#145314372
#145313652
C4×#105875682
#145312852
C2×#117626852
C17×#23422
#3440717