Finite Group Databasebeta

← #17196782

Subgroups — #17196782

Order 4352.

2772 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763477C211yesmaximal, characteristic
2#14531847C211yesmaximal, characteristic, complemented
3#14531847C211yesmaximal, characteristic, complemented
4#14531846C211yesmaximal, characteristic, complemented
5#14531835C211yesmaximal, characteristic, complemented
6#14531830C211yesmaximal, characteristic, complemented
7#14531829C211yesmaximal, characteristic, complemented
8#14531825C211yesmaximal, characteristic, complemented
9#14531823C211yesmaximal, characteristic, complemented
10#14531758C211yesmaximal, characteristic, complemented
11#14531754C211yesmaximal, characteristic, complemented
12#14531738C211yesmaximal, characteristic, complemented
13#14531730C211yesmaximal, characteristic, complemented
14#14531611C211yesmaximal, characteristic, complemented
15#14531610C211yesmaximal, characteristic, complemented
16#14531551C211yesmaximal, characteristic, complemented
17#14531550C211yesmaximal, characteristic, complemented
18#14531548C211yesmaximal, characteristic, complemented
19#14531547C211yesmaximal, characteristic, complemented
20#14531505C211yesmaximal, characteristic, complemented
21#14531505C211yesmaximal, characteristic, complemented
22C4×#10587626C211yesmaximal, characteristic, complemented
23#14531296C211yesmaximal, characteristic, complemented
24C4×#10587625C211yesmaximal, characteristic, complemented
25#14531270C211yesmaximal, characteristic, complemented
26#14531269C211yesmaximal, characteristic, complemented
27#14531257C211yesmaximal, characteristic, complemented
28#14531143C211yesmaximal, characteristic, complemented
29#14531142C211yesmaximal, characteristic, complemented
30C4×#10587567C211yesmaximal, characteristic, complemented
31C17×#2364C211yesmaximal, characteristic, complemented
32C22×#63252C2211yescharacteristic
33C22×#63254C2211yescharacteristic
34#11763477C4116yescomplemented
35C2×#10587626C2211yescharacteristic
36C2×#10587626C2211yescharacteristic
37C2×#10587626C2211yescharacteristic
38C2×#10587581C2211yescharacteristic
39C2×#10587570C2211yescharacteristic
40C2×#10587570C2211yescharacteristic
41C2×#10587625C2211yescharacteristic
42C2×#10587625C2211yescharacteristic
43C2×#10587573C2211yescharacteristic
44C2×C4×D68C2211yescharacteristic
45C2×#10587579C2211yescharacteristic
46C2×C4×C22⋊D17C2211yescharacteristic
47C2×C4×C22⋊D17C2211yescharacteristic
48C2×C4×C22⋊D17C2211yescharacteristic
49C2×C4×C22⋊D17C2211yescharacteristic
50C2×C4×C22⋊D17C2211yescharacteristic
51C2×C4×C22⋊D17C2211yescharacteristic
52C2×C4×C22⋊D17C2211yescharacteristic
53C2×C4×C22⋊D17C2211yescharacteristic
54C2×C4×C22⋊D17C2211yescharacteristic
55C2×#10587567C2211yescharacteristic
56C2×#10587567C2211yescharacteristic
57C2×#10587567C2211yescharacteristic
58C2×#10587567C2211yescharacteristic
59C2×#10587567C2211yescharacteristic
60C2×#10587567C2211yescharacteristic
61C2×#10587558C2211yescharacteristic
62C2×#10587563C2211yescharacteristic
63C22×C4×Dic17C2211yescharacteristic
64C2×C42×D17C2211yescharacteristic
65#11762713C2211yescharacteristic
66#11762713C2211yescharacteristic
67#11762713C2211yescharacteristic
68#11762713C2211yescharacteristic
69#11762712C2211yescharacteristic
70#11762712C2211yescharacteristic
71#11762711C2211yescharacteristic
72#11762710C2211yescharacteristic
73#11762709C2211yescharacteristic
74#11762709C2211yescharacteristic
75#11762709C2211yescharacteristic
76#11762709C2211yescharacteristic
77#11762709C2211yescharacteristic
78#11762709C2211yescharacteristic
79#11762709C2211yescharacteristic
80#11762709C2211yescharacteristic
81#11762709C2211yescharacteristic
82#11762709C2211yescharacteristic
83#11762709C2211yescharacteristic
84#11762709C2211yescharacteristic
85#11762706C2211yescharacteristic
86#11762704C2211yescharacteristic
87#11762703C2211yescharacteristic
88#11762703C2211yescharacteristic
89#11762702C2211yescharacteristic
90#11762702C2211yescharacteristic
91#11762701C2211yescharacteristic
92#11762701C2211yescharacteristic
93#11762700C2211yescharacteristic
94#11762700C2211yescharacteristic
95#11762699C2211yescharacteristic
96#11762699C2211yescharacteristic
97#11762696C2211yescharacteristic
98#11762695C2211yescharacteristic
99#11762695C2211yescharacteristic
100#11762693C2211yescharacteristic
101#11762691C2211yescharacteristic
102#11762690C2211yescharacteristic
103#11762689C2211yescharacteristic
104#11762689C2211yescharacteristic
105#11762689C2211yescharacteristic
106#11762689C2211yescharacteristic
107#11762688C2211yescharacteristic
108#11762688C2211yescharacteristic
109#11762688C2211yescharacteristic
110#11762688C2211yescharacteristic
111#11762687C2211yescharacteristic
112#11762687C2211yescharacteristic
113#11762687C2211yescharacteristic
114#11762687C2211yescharacteristic
115#11762687C2211yescharacteristic
116#11762687C2211yescharacteristic
117#11762687C2211yescharacteristic
118#11762687C2211yescharacteristic
119#11762686C2211yescharacteristic
120#11762686C2211yescharacteristic
121#11762685C2211yescharacteristic
122#11762685C2211yescharacteristic
123#11762685C2211yescharacteristic
124#11762685C2211yescharacteristic
125#11762685C2211yescharacteristic
126#11762685C2211yescharacteristic
127#11762678C2211yescharacteristic
128#11762673C2211yescharacteristic
129#11762673C2211yescharacteristic
130#11762672C2211yescharacteristic
131#11762671C2211yescharacteristic
132#11762671C2211yescharacteristic
133#11762670C2211yescharacteristic
134#11762668C2211yescharacteristic
135#11762667C2211yescharacteristic
136C4⋊C4×Dic17C2211yescharacteristic
137C4×#63225C2211yescharacteristic
138C4×#63225C2211yescharacteristic
139C4×#63225C2211yescharacteristic
140C4×#63225C2211yescharacteristic
141#11762660C2211yescharacteristic
142#11762660C2211yescharacteristic
143#11762660C2211yescharacteristic
144#11762660C2211yescharacteristic
145#11762660C2211yescharacteristic
146#11762660C2211yescharacteristic
147#11762660C2211yescharacteristic
148C22⋊C4×Dic17C2211yescharacteristic
149C22⋊C4×Dic17C2211yescharacteristic
150C22⋊C4×Dic17C2211yescharacteristic
151C22⋊C4×Dic17C2211yescharacteristic
152C22⋊C4×Dic17C2211yescharacteristic
153C4×#63227C2211yescharacteristic
154C4×#63227C2211yescharacteristic
155C4×#63227C2211yescharacteristic
156C4×#63227C2211yescharacteristic
157C4×C22⋊Dic17C2211yescharacteristic
158C4×C22⋊Dic17C2211yescharacteristic
159C4×C22⋊Dic17C2211yescharacteristic
160#11762656C2211yescharacteristic
161#11762656C2211yescharacteristic
162#11762656C2211yescharacteristic
163#11762656C2211yescharacteristic
164#11762656C2211yescharacteristic
165#11762656C2211yescharacteristic
166#11762656C2211yescharacteristic
167#11762654C2211yescharacteristic
168#11762654C2211yescharacteristic
169C2×#10587502C2211yescharacteristic
170#95×D17C2211yescharacteristic
171#95×D17C2211yescharacteristic
172C42×Dic17C2211yescharacteristic
173C2×C17×#121C2211yescharacteristic
174C2×C4×D4×C17C2211yescharacteristic
175C2×C4×D4×C17C2211yescharacteristic
176C17×#388C2211yescharacteristic
177C17×#388C2211yescharacteristic
178C17×#387C2211yescharacteristic
179C17×#387C2211yescharacteristic
180C17×#386C2211yescharacteristic
181C17×#386C2211yescharacteristic
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic
184C4×C22⋊C4×C17C2211yescharacteristic
185C4×C22⋊C4×C17C2211yescharacteristic
186C4×C22⋊C4×C17C2211yescharacteristic
187C2×C17×#95C2211yescharacteristic
188C22×D4×C17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C23×Dic17C2311yescharacteristic
207C23×Dic17C2311yescharacteristic
208C23×Dic17C2311yescharacteristic
209C2×#63254—42no—
210C2×#63254—42no—
211C2×#63254C2×C418yescomplemented
212C2×#63252—42no—
213C2×#63252—42no—
214C2×#63252C2×C418yescomplemented
215C22×D68C2311yescharacteristic
216C22×D68C2311yescharacteristic
217C22×D68C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×Dic34C2311yescharacteristic
228C17×#121C2×C418yescomplemented
229C4×D4×C17—42no—
230C4×D4×C17—42no—
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
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×C42×C17C2311yescharacteristic
245C2×C42×C17C2311yescharacteristic
246C2×C42×C17C2311yescharacteristic
247C2×C42×C17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259#10587626C2×C418yescomplemented
260#10587626C2×C418yescomplemented
261#10587626C2×C418yescomplemented
262#10587625C2×C418yescomplemented
263#10587625C2×C418yescomplemented
264C4×C22⋊D17—24no—
265C4×C22⋊D17—24no—
266C4×C22⋊D17—24no—
267C4×C22⋊D17—24no—
268C4×C22⋊D17—42no—
269C4×C22⋊D17—42no—
270C4×C22⋊D17—42no—
271C4×C22⋊D17—42no—
272C4×C22⋊D17C2×C418yescomplemented
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×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×C4×Dic17—42no—
310C2×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
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
331#10587581C2×C418yescomplemented
332#10587579—42no—
333#10587573C2×C418yescomplemented
334#10587570C2×C418yescomplemented
335#10587570C2×C418yescomplemented
336#10587567—24no—
337#10587567—24no—
338#10587567—42no—
339#10587567—42no—
340#10587567C2×C418yescomplemented
341#10587567C2×C418yescomplemented
342#10587563—42no—
343C4×D68—42no—
344#10587558—42no—
345C42×D17—42no—
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382C24×C17C2411yescharacteristic
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C23×D17C2411yescharacteristic
386C23×D17C2411yescharacteristic
387C23×D17C2411yescharacteristic
388C2×D4×C17—41no—
389C2×D4×C17—41no—
390C2×D4×C17—41no—
391C2×D4×C17—41no—
392C2×D4×C17—41no—
393C2×D4×C17—41no—
394C2×D4×C17C22×C414yes—
395C2×D4×C17C22×C414yes—
396C2×D4×C17C22×C414yes—
397C22×C4×C17—22no—
398C22×C4×C17—22no—
399C22×C4×C17—22no—
400C22×C4×C17—22no—
401C22×C4×C17—22no—
402C22×C4×C17—41no—
403C22×C4×C17—41no—
404C22×C4×C17—41no—
405C22×C4×C17—41no—
406C22×C4×C17—41no—
407C22×C4×C17—41no—
408C22×C4×C17—41no—
409C22×C4×C17—41no—
410C22×C4×C17—41no—
411C22×C4×C17C22×C414yes—
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
419C22×C4×C17C2411yescharacteristic
420C22×C4×C17C2411yescharacteristic
421C22×C4×C17C2411yescharacteristic
422C22×C4×C17C2411yescharacteristic
423C22×C4×C17C2411yescharacteristic
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—22no—
427C2×C22⋊D17—22no—
428C2×C22⋊D17—22no—
429C2×C22⋊D17—22no—
430C2×C22⋊D17—22no—
431C2×C22⋊D17—22no—
432C2×C22⋊D17—22no—
433C2×C22⋊D17—22no—
434C2×C22⋊D17—41no—
435C2×C22⋊D17—41no—
436C2×C22⋊D17—41no—
437C2×C22⋊D17—41no—
438C2×C22⋊D17—41no—
439C2×C22⋊D17—41no—
440C2×C22⋊D17—41no—
441C2×C22⋊D17—41no—
442C2×C22⋊D17C22×C414yes—
443C2×C22⋊D17C22×C414yes—
444C2×C22⋊D17C22×C414yes—
445C2×C22⋊D17C22×C414yes—
446C2×C22⋊D17C22×C414yes—
447C2×C22⋊D17C22×C414yes—
448C2×C22⋊D17C22×C414yes—
449C2×C22⋊D17C22×C414yes—
450C2×C22⋊D17C22×C414yes—
451C22×Dic17—22no—
452C22×Dic17—22no—
453C22×Dic17—22no—
454C22×Dic17—22no—
455C22×Dic17—41no—
456C22×Dic17—41no—
457C22×Dic17—41no—
458C22×Dic17—41no—
459C22×Dic17—41no—
460C22×Dic17—41no—
461C22×Dic17C22×C414yes—
462C22×Dic17C22×C414yes—
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470C22×Dic17C2411yescharacteristic
471C22×Dic17C2411yescharacteristic
472C22×Dic17C2411yescharacteristic
473C22×Dic17C2411yescharacteristic
474C22×Dic17C2411yescharacteristic
475C22×Dic17C2411yescharacteristic
476#63254—416no—
477#63252—416no—
478C2×D68—41no—
479C2×D68—41no—
480C2×D68—41no—
481C2×D68—41no—
482C2×D68—41no—
483C2×D68—41no—
484C2×D68C22×C414yes—
485C2×D68C22×C414yes—
486C2×D68C22×C414yes—
487C2×C4×D17—22no—
488C2×C4×D17—22no—
489C2×C4×D17—22no—
490C2×C4×D17—22no—
491C2×C4×D17—22no—
492C2×C4×D17—22no—
493C2×C4×D17—22no—
494C2×C4×D17—22no—
495C2×C4×D17—22no—
496C2×C4×D17—41no—
497C2×C4×D17—41no—
498C2×C4×D17—41no—
499C2×C4×D17—41no—
500C2×C4×D17—41no—
501C2×C4×D17—41no—
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—41no—
511C2×C4×D17C22×C414yes—
512C2×C4×D17C22×C414yes—
513C2×C4×D17C22×C414yes—
514C2×Dic34—22no—
515C2×Dic34—22no—
516C2×Dic34C22×C414yes—
517C4⋊C4×C17—22no—
518C4⋊C4×C17—41no—
519C4⋊C4×C17C22×C414yes—
520C22⋊C4×C17—22no—
521C22⋊C4×C17—22no—
522C22⋊C4×C17—22no—
523C22⋊C4×C17—22no—
524C22⋊C4×C17—41no—
525C22⋊C4×C17—41no—
526C22⋊C4×C17—41no—
527C22⋊C4×C17—41no—
528C22⋊C4×C17C22×C414yes—
529C22⋊C4×C17C22×C414yes—
530C42×C17—22no—
531C42×C17—41no—
532C42×C17—41no—
533C42×C17—41no—
534C22⋊Dic17—22no—
535C22⋊Dic17—22no—
536C22⋊Dic17—22no—
537C22⋊Dic17—22no—
538C22⋊Dic17—41no—
539C22⋊Dic17—41no—
540C22⋊Dic17—41no—
541C22⋊Dic17—41no—
542C22⋊Dic17—41no—
543C22⋊Dic17—41no—
544C22⋊Dic17C22×C414yes—
545#63227—22no—
546#63227—22no—
547#63227—22no—
548#63227—22no—
549#63227—22no—
550#63227—22no—
551#63227—22no—
552#63227—22no—
553#63227—41no—
554#63227—41no—
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#63227C22×C414yes—
564#63227C22×C414yes—
565#63227C22×C414yes—
566C4⋊Dic17—41no—
567C4⋊Dic17—41no—
568#63225—22no—
569#63225—22no—
570#63225—22no—
571#63225—22no—
572#63225—22no—
573#63225—22no—
574#63225—22no—
575#63225—22no—
576#63225—41no—
577#63225C22×C414yes—
578#63225C22×C414yes—
579#63225C22×C414yes—
580#63225#4114yescomplemented
581C4×Dic17—22no—
582C4×Dic17—22no—
583C4×Dic17—22no—
584C4×Dic17—22no—
585C4×Dic17—22no—
586C4×Dic17—22no—
587C4×Dic17—22no—
588C4×Dic17—41no—
589C4×Dic17—41no—
590C4×Dic17—41no—
591C4×Dic17—41no—
592C4×Dic17—41no—
593C4×Dic17—41no—
594C4×Dic17—41no—
595C4×Dic17—41no—
596C4×Dic17—41no—
597C4×Dic17—41no—
598C4×Dic17C22×C414yes—
599C4×Dic17C22×C414yes—
600C4×Dic17C22×C414yes—
601C4×Dic17#4114yescomplemented
602#34330—171nomaximal, Sylow
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—21no—
606C23×C17—21no—
607C23×C17—21no—
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17C23×C412yes—
622C23×C17C23×C412yes—
623C23×C17C23×C412yes—
624C23×C17C2511yescharacteristic
625C22×D17—21no—
626C22×D17—21no—
627C22×D17—21no—
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631C22×D17—21no—
632C22×D17—21no—
633C22×D17—21no—
634C22×D17—21no—
635C22×D17—21no—
636C22×D17—21no—
637C22×D17—21no—
638C22×D17—21no—
639C22×D17—21no—
640C22×D17—21no—
641C22×D17—21no—
642C22×D17—21no—
643C22×D17C23×C412yes—
644C22×D17C23×C412yes—
645C22×D17C23×C412yes—
646D4×C17—44no—
647D4×C17—44no—
648D4×C17—44no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—44no—
679C2×C4×C17—44no—
680C2×C4×C17—82no—
681C2×C4×C17—82no—
682C2×C4×C17—82no—
683C2×C4×C17C23×C412yes—
684C2×C4×C17C23×C412yes—
685C2×C4×C17C23×C412yes—
686C2×C4×C17C23×C412yes—
687C2×C4×C17C2×#4112yes—
688C2×C4×C17C2×#4112yes—
689C2×C4×C17H(5,𝔽2)12yes—
690C22⋊D17—28no—
691C22⋊D17—28no—
692C22⋊D17—28no—
693C22⋊D17—28no—
694C22⋊D17—28no—
695C22⋊D17—44no—
696C22⋊D17—44no—
697C22⋊D17—44no—
698C22⋊D17—44no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—28no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—44no—
729C2×Dic17—44no—
730C2×Dic17—82no—
731C2×Dic17C23×C412yes—
732C2×Dic17C23×C412yes—
733C2×Dic17C23×C412yes—
734C2×Dic17C23×C412yes—
735C2×Dic17C23×C412yes—
736C2×Dic17C2×#4112yes—
737C2×Dic17C2×#4112yes—
738C2×Dic17C2×#4112yes—
739C2×Dic17C2×#4112yes—
740C2×Dic17H(5,𝔽2)12yes—
741C2×Dic17H(5,𝔽2)12yes—
742D68—44no—
743D68—44no—
744D68—44no—
745C4×D17—28no—
746C4×D17—44no—
747C4×D17—44no—
748C4×D17—44no—
749C4×D17—44no—
750C4×D17—82no—
751C4×D17—82no—
752C4×D17—82no—
753C4×D17—82no—
754Dic34—28no—
755C2×#550—171no—
756#2366—171no—
757#2366—171no—
758#2366—171no—
759#2364—171no—
760#2364—171no—
761#2364—171no—
762#2364D1711yescharacteristic, complemented
763#2363—171no—
764#2363—171no—
765#2357—171no—
766#2357—171no—
767#2355—171no—
768#2354—171no—
769#2339—171no—
770#2339—171no—
771#2333—171no—
772#2333—171no—
773#2333—171no—
774#2333—171no—
775#2328—171no—
776#2328—171no—
777C4×#127—171no—
778C4×#121—171no—
779C4×#121—171no—
780#2297—171no—
781#2297—171no—
782#2295—171no—
783#2275—171no—
784#2275—171no—
785C42×D4—171no—
786C22×C17—22no—
787C22×C17—22no—
788C22×C17—22no—
789C22×C17—22no—
790C22×C17—22no—
791C22×C17—22no—
792C22×C17—22no—
793C22×C17—22no—
794C22×C17—22no—
795C22×C17—41no—
796C22×C17—41no—
797C22×C17—41no—
798C22×C17—41no—
799C22×C17—41no—
800C22×C17—41no—
801C22×C17—41no—
802C22×C17—41no—
803C22×C17—41no—
804C22×C17—41no—
805C22×C17—41no—
806C22×C17—41no—
807C22×C17C24×C411yescharacteristic
808C22×C17C22×#4111yescharacteristic
809C22×C17C22×#4111yescharacteristic
810C22×C17C2×H(5,𝔽2)11yescharacteristic
811C22×C17C2×H(5,𝔽2)11yescharacteristic
812C22×C17C2×H(5,𝔽2)11yescharacteristic
813C22×C17#58511yescharacteristic
814C2×D17—22no—
815C2×D17—22no—
816C2×D17—22no—
817C2×D17—22no—
818C2×D17—22no—
819C2×D17—22no—
820C2×D17—22no—
821C2×D17—22no—
822C2×D17—22no—
823C2×D17—41no—
824C2×D17—41no—
825C2×D17—41no—
826C2×D17—41no—
827C2×D17—41no—
828C2×D17—41no—
829C2×D17—41no—
830C2×D17—41no—
831C2×D17—41no—
832C2×D17—41no—
833C2×D17—41no—
834C2×D17—41no—
835C4×C17—22no—
836C4×C17—22no—
837C4×C17—22no—
838C4×C17—22no—
839C4×C17—22no—
840C4×C17—22no—
841C4×C17—22no—
842C4×C17—41no—
843C4×C17—41no—
844C4×C17—41no—
845C4×C17—41no—
846C4×C17—41no—
847Dic17—22no—
848Dic17—22no—
849Dic17—22no—
850Dic17—22no—
851Dic17—22no—
852Dic17—41no—
853Dic17—41no—
854Dic17—41no—
855Dic17—41no—
856Dic17—41no—
857Dic17—41no—
858Dic17C4×#4114yes—
859Dic17#51814yes—
860C22×#41—171no—
861C22×#41—171no—
862#550—1716no—
863C2×#127—171no—
864C2×#127—171no—
865C2×#127—171no—
866C2×#121—171no—
867C2×#121—171no—
868C2×#121—171no—
869C2×#121—171no—
870C2×#121—171no—
871C2×#121C2×D1711yescharacteristic
872C2×C4×Q8—171no—
873C2×C4×D4—171no—
874C2×C4×D4—171no—
875C2×C4×D4—171no—
876C2×C4×D4—171no—
877C2×C4×D4—171no—
878C2×C4×D4—171no—
879C2×C4×D4—171no—
880C2×C4×D4—171no—
881C2×C4×D4—171no—
882C2×C4×D4—171no—
883C2×C4×D4—171no—
884C2×C4×D4—171no—
885C2×C4×D4—171no—
886C2×C4×D4—171no—
887C2×C4×D4—171no—
888C2×C4×D4—171no—
889C2×C4×D4—171no—
890C2×C4×D4C2×D1711yescharacteristic
891C2×C4×D4C2×D1711yescharacteristic
892C2×#117—171no—
893C2×#117—171no—
894C22×C42—171no—
895C22×C42—171no—
896#391—171no—
897#391—171no—
898#391—171no—
899#391—171no—
900#390—171no—
901#390—171no—
902#390—171no—
903#390—171no—
904#390—171no—
905#390—171no—
906#390—171no—
907#390—171no—
908#390—171no—
909#390—171no—
910#390—171no—
911#390—171no—
912#390—171no—
913#390—171no—
914#390—171no—
915#390—171no—
916#389—171no—
917#389—171no—
918#388—171no—
919#388—171no—
920#388—171no—
921#388—171no—
922#388—171no—
923#388—171no—
924#388—171no—
925#388—171no—
926#388—171no—
927#388—171no—
928#388C2×D1711yescharacteristic
929#388C2×D1711yescharacteristic
930#387—171no—
931#387—171no—
932#387—171no—
933#387—171no—
934#387—171no—
935#387—171no—
936#387C2×D1711yescharacteristic
937#387C2×D1711yescharacteristic
938#386—171no—
939#386—171no—
940#386—171no—
941#386—171no—
942#386—171no—
943#386—171no—
944#386—171no—
945#386—171no—
946#386—171no—
947#386—171no—
948#386—171no—
949#386—171no—
950#386—171no—
951#386—171no—
952#386—171no—
953#386—171no—
954#386—171no—
955#386—171no—
956#386—171no—
957#386—171no—
958#386—171no—
959#386—171no—
960#386—171no—
961#386—171no—
962#386C2×D1711yescharacteristic
963#386C2×D1711yescharacteristic
964#386C2×D1711yescharacteristic
965#386C2×D1711yescharacteristic
966#384—171no—
967#382—171no—
968#382—171no—
969#381—171no—
970#381—171no—
971#381—171no—
972#381—171no—
973#380—171no—
974#380—171no—
975C4×C4⋊C4—171no—
976C4×C4⋊C4—171no—
977C4×C4⋊C4—171no—
978C4×C4⋊C4—171no—
979C4×C4⋊C4—171no—
980C4×C4⋊C4—171no—
981C4×C4⋊C4—171no—
982C4×C4⋊C4—171no—
983C4×C4⋊C4—171no—
984C4×C4⋊C4—171no—
985C4×C4⋊C4—171no—
986C4×C4⋊C4—171no—
987C4×C22⋊C4—171no—
988C4×C22⋊C4—171no—
989C4×C22⋊C4—171no—
990C4×C22⋊C4—171no—
991C4×C22⋊C4—171no—
992C4×C22⋊C4—171no—
993C4×C22⋊C4—171no—
994C4×C22⋊C4—171no—
995C4×C22⋊C4—171no—
996C4×C22⋊C4—171no—
997C4×C22⋊C4—171no—
998C4×C22⋊C4—171no—
999C4×C22⋊C4—171no—
1000C4×C22⋊C4—171no—
1001C4×C22⋊C4—171no—
1002C4×C22⋊C4—171no—
1003C4×C22⋊C4—171no—
1004C4×C22⋊C4—171no—
1005C4×C22⋊C4—171no—
1006C4×C22⋊C4C2×D1711yescharacteristic
1007C4×C22⋊C4C2×D1711yescharacteristic
1008C4×C22⋊C4C2×D1711yescharacteristic
1009#376—171no—
1010#376—171no—
1011C2×#95—171no—
1012C2×#95—171no—
1013C2×#95—171no—
1014C2×#95C2×D1711yescharacteristic
1015C43—171no—
1016C2×C17—42no—
1017C2×C17—42no—
1018C2×C17—42no—
1019C2×C17C2×C4×#4111yescharacteristic
1020C2×C17C2×#51811yescharacteristic
1021C2×C17C4×H(5,𝔽2)11yescharacteristic
1022C2×C17#350611yescharacteristic
1023C2×C17#350811yescharacteristic
1024C2×C17#351711yescharacteristic
1025C2×C17#351911yescharacteristic
1026D17—42no—
1027D17—42no—
1028D17—42no—
1029C2×#41—178no—
1030C2×#41—178no—
1031C2×#41—682no—
1032C2×#41—682no—
1033C2×#41—682no—
1034C2×#41—682no—
1035C22×Q8—171no—
1036C22×D4—171no—
1037C22×D4—171no—
1038C22×D4—171no—
1039C22×D4—171no—
1040C22×D4—171no—
1041C22×D4—171no—
1042C22×D4—171no—
1043C22×D4—171no—
1044C22×D4—171no—
1045C22×D4—171no—
1046C22×D4—171no—
1047C22×D4—171no—
1048C22×D4C22×D1711yescharacteristic
1049C22×D4C22×D1711yescharacteristic
1050C22×D4C22×D1711yescharacteristic
1051C23×C4—171no—
1052C23×C4—171no—
1053C23×C4—171no—
1054C23×C4—171no—
1055C23×C4—171no—
1056C23×C4—171no—
1057C23×C4—171no—
1058C23×C4—171no—
1059C23×C4—171no—
1060C23×C4—171no—
1061C23×C4—171no—
1062C23×C4—171no—
1063C23×C4—171no—
1064C23×C4C22×D1711yescharacteristic
1065C23×C4C22×D1711yescharacteristic
1066C23×C4C22×D1711yescharacteristic
1067C23×C4C22×D1711yescharacteristic
1068C23×C4C22×D1711yescharacteristic
1069#127—178no—
1070#127—178no—
1071#127—178no—
1072#121—178no—
1073#121—178no—
1074#121—178no—
1075#121—178no—
1076#121—178no—
1077#121C4×D1718yescomplemented
1078C4×Q8—178no—
1079C4×D4—42no—
1080C4×D4—42no—
1081C4×D4—178no—
1082C4×D4—178no—
1083C4×D4—178no—
1084C4×D4—344no—
1085C4×D4—344no—
1086C4×D4—344no—
1087C4×D4—344no—
1088C4×D4—344no—
1089C4×D4—344no—
1090C4×D4—682no—
1091C4×D4—682no—
1092C4×D4—682no—
1093C4×D4—682no—
1094C4×D4—682no—
1095C4×D4—682no—
1096C4×D4—682no—
1097C4×D4—682no—
1098#117—682no—
1099#117—682no—
1100C2×C4⋊C4—171no—
1101C2×C4⋊C4—171no—
1102C2×C4⋊C4—171no—
1103C2×C4⋊C4—171no—
1104C2×C4⋊C4—171no—
1105C2×C4⋊C4—171no—
1106C2×C4⋊C4—171no—
1107C2×C4⋊C4—171no—
1108C2×C4⋊C4—171no—
1109C2×C4⋊C4—171no—
1110C2×C4⋊C4—171no—
1111C2×C4⋊C4—171no—
1112C2×C4⋊C4—171no—
1113C2×C4⋊C4—171no—
1114C2×C4⋊C4—171no—
1115C2×C4⋊C4C22×D1711yescharacteristic
1116C2×C4⋊C4C22×D1711yescharacteristic
1117C2×C4⋊C4C22×D1711yescharacteristic
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—171no—
1123C2×C22⋊C4—171no—
1124C2×C22⋊C4—171no—
1125C2×C22⋊C4—171no—
1126C2×C22⋊C4—171no—
1127C2×C22⋊C4—171no—
1128C2×C22⋊C4—171no—
1129C2×C22⋊C4—171no—
1130C2×C22⋊C4—171no—
1131C2×C22⋊C4—171no—
1132C2×C22⋊C4—171no—
1133C2×C22⋊C4—171no—
1134C2×C22⋊C4—171no—
1135C2×C22⋊C4—171no—
1136C2×C22⋊C4—171no—
1137C2×C22⋊C4—171no—
1138C2×C22⋊C4—171no—
1139C2×C22⋊C4—171no—
1140C2×C22⋊C4—171no—
1141C2×C22⋊C4—171no—
1142C2×C22⋊C4—171no—
1143C2×C22⋊C4—171no—
1144C2×C22⋊C4—171no—
1145C2×C22⋊C4—171no—
1146C2×C22⋊C4—171no—
1147C2×C22⋊C4—171no—
1148C2×C22⋊C4—171no—
1149C2×C22⋊C4—171no—
1150C2×C22⋊C4C22×D1711yescharacteristic
1151C2×C22⋊C4C22×D1711yescharacteristic
1152C2×C22⋊C4C22×D1711yescharacteristic
1153C2×C22⋊C4C22×D1711yescharacteristic
1154C2×C22⋊C4C22×D1711yescharacteristic
1155C2×C22⋊C4C22×D1711yescharacteristic
1156C2×C22⋊C4C22×D1711yescharacteristic
1157C2×C22⋊C4C22×D1711yescharacteristic
1158C2×C22⋊C4C22×D1711yescharacteristic
1159C2×C22⋊C4C22×D1711yescharacteristic
1160C2×C42—171no—
1161C2×C42—171no—
1162C2×C42—171no—
1163C2×C42—171no—
1164C2×C42—171no—
1165C2×C42—171no—
1166C2×C42—171no—
1167C2×C42—171no—
1168C2×C42—171no—
1169C2×C42—171no—
1170C2×C42—171no—
1171C2×C42—171no—
1172C2×C42—171no—
1173C2×C42—171no—
1174C2×C42—171no—
1175C2×C42—171no—
1176C2×C42—171no—
1177C2×C42—171no—
1178C2×C42—171no—
1179C2×C42—171no—
1180C2×C42—171no—
1181C2×C42—682no—
1182C2×C42—682no—
1183C2×C42C22×D1711yescharacteristic
1184C2×C42C22×D1711yescharacteristic
1185C2×C42C22×D1711yescharacteristic
1186C2×C42C22×D1711yescharacteristic
1187#95—171no—
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95—171no—
1195#95—171no—
1196#95—171no—
1197#95—171no—
1198#95—171no—
1199#95—171no—
1200#95—171no—
1201#95—171no—
1202#95—171no—
1203#95—171no—
1204#95—171no—
1205#95—171no—
1206#95—171no—
1207#95—171no—
1208#95—171no—
1209#95—171no—
1210#95—171no—
1211#95—171no—
1212#95—171no—
1213#95C22×D1711yescharacteristic
1214#95C22×D1711yescharacteristic
1215#95C22×D1711yescharacteristic
1216#95C22×D1711yescharacteristic
1217#95C22×D1711yescharacteristic
1218#95C22×D1711yescharacteristic
1219#95C22×D1711yescharacteristic
1220#95C22×D1711yescharacteristic
1221#95C22×D1711yescharacteristic
1222#95C22×D1711yescharacteristic
1223C17#3433011yescharacteristic, complemented, Sylow
1224C24—171no—
1225C24—171no—
1226C24—171no—
1227C24C23×D1711yescharacteristic
1228C24C23×D1711yescharacteristic
1229C24C23×D1711yescharacteristic
1230#41—6816no—
1231#41—6816no—
1232C2×Q8—174no—
1233C2×Q8—342no—
1234C2×Q8—342no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—174no—
1242C2×D4—174no—
1243C2×D4—174no—
1244C2×D4—174no—
1245C2×D4—174no—
1246C2×D4—174no—
1247C2×D4—174no—
1248C2×D4—174no—
1249C2×D4—174no—
1250C2×D4—174no—
1251C2×D4—174no—
1252C2×D4—174no—
1253C2×D4—342no—
1254C2×D4—342no—
1255C2×D4—342no—
1256C2×D4—342no—
1257C2×D4—342no—
1258C2×D4—342no—
1259C2×D4—342no—
1260C2×D4—342no—
1261C2×D4—342no—
1262C2×D4—342no—
1263C2×D4—681no—
1264C2×D4—681no—
1265C2×D4—681no—
1266C2×D4—681no—
1267C2×D4—681no—
1268C2×D4—681no—
1269C2×D4—681no—
1270C2×D4—681no—
1271C2×D4—681no—
1272C2×D4—681no—
1273C2×D4—681no—
1274C2×D4—681no—
1275C2×D4—681no—
1276C2×D4—681no—
1277C2×D4C2×C4×D1714yes—
1278C2×D4C2×C4×D1714yes—
1279C2×D4C2×C4×D1714yes—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—171no—
1295C22×C4—171no—
1296C22×C4—174no—
1297C22×C4—171no—
1298C22×C4—171no—
1299C22×C4—171no—
1300C22×C4—171no—
1301C22×C4—171no—
1302C22×C4—174no—
1303C22×C4—174no—
1304C22×C4—174no—
1305C22×C4—174no—
1306C22×C4—171no—
1307C22×C4—171no—
1308C22×C4—171no—
1309C22×C4—171no—
1310C22×C4—171no—
1311C22×C4—171no—
1312C22×C4—342no—
1313C22×C4—342no—
1314C22×C4—342no—
1315C22×C4—342no—
1316C22×C4—342no—
1317C22×C4—342no—
1318C22×C4—342no—
1319C22×C4—342no—
1320C22×C4—342no—
1321C22×C4—342no—
1322C22×C4—342no—
1323C22×C4—342no—
1324C22×C4—342no—
1325C22×C4—681no—
1326C22×C4—681no—
1327C22×C4—681no—
1328C22×C4—681no—
1329C22×C4—681no—
1330C22×C4—681no—
1331C22×C4—681no—
1332C22×C4—681no—
1333C22×C4—681no—
1334C22×C4—681no—
1335C22×C4—681no—
1336C22×C4—681no—
1337C22×C4—681no—
1338C22×C4—681no—
1339C22×C4—681no—
1340C22×C4—681no—
1341C22×C4—681no—
1342C22×C4—681no—
1343C22×C4—681no—
1344C22×C4—681no—
1345C22×C4—681no—
1346C22×C4C2×C4×D1714yes—
1347C22×C4C23×D1711yescharacteristic
1348C22×C4C23×D1711yescharacteristic
1349C22×C4C23×D1711yescharacteristic
1350C22×C4C23×D1711yescharacteristic
1351C22×C4C23×D1711yescharacteristic
1352C22×C4C23×D1711yescharacteristic
1353C22×C4C23×D1711yescharacteristic
1354C22×C4C23×D1711yescharacteristic
1355C22×C4C23×D1711yescharacteristic
1356C22×C4C23×D1711yescharacteristic
1357C22×C4C23×D1711yescharacteristic
1358C22×C4C23×D1711yescharacteristic
1359C4⋊C4—22no—
1360C4⋊C4—41no—
1361C4⋊C4—174no—
1362C4⋊C4—174no—
1363C4⋊C4—174no—
1364C4⋊C4—174no—
1365C4⋊C4—342no—
1366C4⋊C4—342no—
1367C4⋊C4—342no—
1368C4⋊C4—342no—
1369C4⋊C4—342no—
1370C4⋊C4—342no—
1371C4⋊C4—342no—
1372C4⋊C4—342no—
1373C4⋊C4—681no—
1374C4⋊C4—681no—
1375C4⋊C4—681no—
1376C4⋊C4C2×C4×D1714yes—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—174no—
1386C22⋊C4—174no—
1387C22⋊C4—174no—
1388C22⋊C4—174no—
1389C22⋊C4—342no—
1390C22⋊C4—342no—
1391C22⋊C4—342no—
1392C22⋊C4—342no—
1393C22⋊C4—342no—
1394C22⋊C4—342no—
1395C22⋊C4—342no—
1396C22⋊C4—342no—
1397C22⋊C4—342no—
1398C22⋊C4—342no—
1399C22⋊C4—342no—
1400C22⋊C4—342no—
1401C22⋊C4—681no—
1402C22⋊C4—681no—
1403C22⋊C4—681no—
1404C22⋊C4—681no—
1405C22⋊C4—681no—
1406C22⋊C4—681no—
1407C22⋊C4—681no—
1408C22⋊C4—681no—
1409C22⋊C4—681no—
1410C22⋊C4—681no—
1411C22⋊C4—681no—
1412C22⋊C4—681no—
1413C22⋊C4—681no—
1414C22⋊C4—681no—
1415C22⋊C4—681no—
1416C22⋊C4—681no—
1417C22⋊C4C2×C4×D1714yes—
1418C22⋊C4C2×C4×D1714yes—
1419C42—22no—
1420C42—41no—
1421C42—41no—
1422C42—41no—
1423C42—174no—
1424C42—174no—
1425C42—174no—
1426C42—174no—
1427C42—342no—
1428C42—342no—
1429C42—342no—
1430C42—342no—
1431C42—342no—
1432C42—342no—
1433C42—342no—
1434C42—681no—
1435C42—681no—
1436C42—681no—
1437C42—681no—
1438C42—681no—
1439C42—681no—
1440C42—681no—
1441C42—681no—
1442C42—681no—
1443C42—681no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—172no—
1463C23—172no—
1464C23—172no—
1465C23—341no—
1466C23—341no—
1467C23—341no—
1468C23—341no—
1469C23—341no—
1470C23—341no—
1471C23—341no—
1472C23—341no—
1473C23—341no—
1474C23—341no—
1475C23—341no—
1476C23—341no—
1477C23—341no—
1478C23—341no—
1479C23—341no—
1480C23—341no—
1481C23—341no—
1482C23—341no—
1483C23C22×C4×D1712yes—
1484C23C22×C4×D1712yes—
1485C23C22×C4×D1712yes—
1486C23C24×D1711yescharacteristic
1487Q8—348no—
1488D4—44no—
1489D4—44no—
1490D4—44no—
1491D4—348no—
1492D4—348no—
1493D4—348no—
1494D4—348no—
1495D4—348no—
1496D4—684no—
1497D4—684no—
1498D4—684no—
1499D4—684no—
1500D4—684no—
1501D4—684no—
1502D4—684no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—82no—
1535C2×C4—82no—
1536C2×C4—82no—
1537C2×C4—172no—
1538C2×C4—172no—
1539C2×C4—172no—
1540C2×C4—172no—
1541C2×C4—172no—
1542C2×C4—172no—
1543C2×C4—172no—
1544C2×C4—172no—
1545C2×C4—172no—
1546C2×C4—172no—
1547C2×C4—172no—
1548C2×C4—348no—
1549C2×C4—348no—
1550C2×C4—341no—
1551C2×C4—341no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—341no—
1562C2×C4—341no—
1563C2×C4—341no—
1564C2×C4—341no—
1565C2×C4—341no—
1566C2×C4—341no—
1567C2×C4—341no—
1568C2×C4—341no—
1569C2×C4—341no—
1570C2×C4—341no—
1571C2×C4—341no—
1572C2×C4—341no—
1573C2×C4—341no—
1574C2×C4—341no—
1575C2×C4—341no—
1576C2×C4—341no—
1577C2×C4—341no—
1578C2×C4—684no—
1579C2×C4—684no—
1580C2×C4—684no—
1581C2×C4—684no—
1582C2×C4—684no—
1583C2×C4—684no—
1584C2×C4—1362no—
1585C2×C4—1362no—
1586C2×C4—1362no—
1587C2×C4—1362no—
1588C2×C4—1362no—
1589C2×C4C22×C4×D1712yes—
1590C2×C4C22×C4×D1712yes—
1591C2×C4C22×C4×D1712yes—
1592C2×C4C22×C4×D1712yes—
1593C2×C4#1058769112yes—
1594C2×C4#41×D1712yes—
1595C2×C4#41×D1712yes—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—342no—
1618C22—342no—
1619C22—342no—
1620C22—342no—
1621C22—342no—
1622C22—342no—
1623C22—342no—
1624C22—342no—
1625C22—342no—
1626C22—681no—
1627C22—681no—
1628C22—681no—
1629C22—681no—
1630C22—681no—
1631C22—681no—
1632C22—681no—
1633C22—681no—
1634C22—681no—
1635C22—681no—
1636C22—681no—
1637C22—681no—
1638C22C23×C4×D1711yescharacteristic
1639C22C2×#41×D1711yescharacteristic
1640C22C2×#41×D1711yescharacteristic
1641C22H(5,𝔽2)×D1711yescharacteristic
1642C22H(5,𝔽2)×D1711yescharacteristic
1643C22C2×#1058769111yescharacteristic
1644C22#1176364511yescharacteristic
1645C4—22no—
1646C4—22no—
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—174no—
1658C4—174no—
1659C4—342no—
1660C4—342no—
1661C4—342no—
1662C4—342no—
1663C4—342no—
1664C4—681no—
1665C4—681no—
1666C4—681no—
1667C4—681no—
1668C4—681no—
1669C4—681no—
1670C2—42no—
1671C2—42no—
1672C2—42no—
1673C2—682no—
1674C2—682no—
1675C2—682no—
1676C2C4×#41×D1711yescharacteristic
1677C2D17×#51811yescharacteristic
1678C2C4×#1058769111yescharacteristic
1679C2#1454263011yescharacteristic
1680C2#1454265211yescharacteristic
1681C2#1454278311yescharacteristic
1682C2#1454280511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2364C2
socle, cosocleC23×C17C25
prime radicalC2×#11763477C2
hypercenter#2364D17
hypocenterC17#34330
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2364

Complements

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

NH ≅ G/Ntype
2. #14531847C2semidirect
3. #14531847C2semidirect
4. #14531846C2semidirect
5. #14531835C2semidirect
6. #14531830C2semidirect
7. #14531829C2semidirect
8. #14531825C2semidirect
9. #14531823C2semidirect
10. #14531758C2semidirect
11. #14531754C2semidirect
12. #14531738C2semidirect
13. #14531730C2semidirect
14. #14531611C2semidirect
15. #14531610C2semidirect
16. #14531551C2semidirect
17. #14531550C2semidirect
18. #14531548C2semidirect
19. #14531547C2semidirect
20. #14531505C2semidirect
21. #14531505C2semidirect
22. C4×#10587626C2semidirect
23. #14531296C2semidirect
24. C4×#10587625C2semidirect
25. #14531270C2semidirect
26. #14531269C2semidirect
27. #14531257C2semidirect
28. #14531143C2semidirect
29. #14531142C2semidirect
30. C4×#10587567C2semidirect
31. C17×#2364C2semidirect
34. #11763477C4semidirect
211. C2×#63254C2×C4semidirect
214. C2×#63252C2×C4semidirect
228. C17×#121C2×C4semidirect
259. #10587626C2×C4semidirect
260. #10587626C2×C4semidirect
261. #10587626C2×C4semidirect
262. #10587625C2×C4semidirect
263. #10587625C2×C4semidirect
272. C4×C22⋊D17C2×C4semidirect
331. #10587581C2×C4semidirect
333. #10587573C2×C4semidirect
334. #10587570C2×C4semidirect
335. #10587570C2×C4semidirect
340. #10587567C2×C4semidirect
341. #10587567C2×C4semidirect
580. #63225#41semidirect
601. C4×Dic17#41semidirect
762. #2364D17semidirect
1077. #121C4×D17semidirect
1223. C17#34330semidirect

Maximal subgroups

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

subgroupindex
C2×#117634772
#145318472
#145318462
#145318352
#145318302
#145318292
#145318252
#145318232
#145317582
#145317542
#145317382
#145317302
#145316112
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C4×#105876262
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C4×#105876252
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C4×#105875672
C17×#23642
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