Finite Group Databasebeta

← #17241296

Subgroups — #17241296

Order 4352.

2842 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763434C211yesmaximal, characteristic, complemented
2C2×#121×D17C211yesmaximal, characteristic
3#14537072C211yesmaximal, characteristic, complemented
4#14537070C211yesmaximal, characteristic, complemented
5#14535142C211yesmaximal, characteristic, complemented
6#14535141C211yesmaximal, characteristic, complemented
7#14535138C211yesmaximal, characteristic, complemented
8#14535137C211yesmaximal, characteristic, complemented
9#14535135C211yesmaximal, characteristic, complemented
10#14535134C211yesmaximal, characteristic, complemented
11#14535131C211yesmaximal, characteristic, complemented
12#14535130C211yesmaximal, characteristic, complemented
13#14535040C211yesmaximal, characteristic, complemented
14#14535039C211yesmaximal, characteristic, complemented
15#14535036C211yesmaximal, characteristic, complemented
16#14535035C211yesmaximal, characteristic, complemented
17#14535034C211yesmaximal, characteristic, complemented
18#14535031C211yesmaximal, characteristic, complemented
19#14535030C211yesmaximal, characteristic, complemented
20#14534594C211yesmaximal, characteristic, complemented
21#14534590C211yesmaximal, characteristic, complemented
22#14534162C211yesmaximal, characteristic, complemented
23#14534160C211yesmaximal, characteristic, complemented
24#14532432C211yesmaximal, characteristic, complemented
25#14532430C211yesmaximal, characteristic, complemented
26#14532110C211yesmaximal, characteristic, complemented
27#14532108C211yesmaximal, characteristic, complemented
28#14532106C211yesmaximal, characteristic, complemented
29#14532106C211yesmaximal, characteristic, complemented
30#14531378C211yesmaximal, characteristic, complemented
31C17×#2672C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C22×D4×D17C2211yescharacteristic
35C23×C4×D17C2211yescharacteristic
36#11763434—28no—
37C2×#10587633C2211yescharacteristic, complemented
38C2×#10587571C2211yescharacteristic, complemented
39C2×#10587571C2211yescharacteristic, complemented
40C2×#10587580C2211yescharacteristic, complemented
41C2×#10587580C2211yescharacteristic, complemented
42C2×#10587572C2211yescharacteristic, complemented
43C2×#10587615C2211yescharacteristic, complemented
44C2×#10587569C2211yescharacteristic, complemented
45C2×#10587569C2211yescharacteristic, complemented
46C2×#10587621C2211yescharacteristic, complemented
47C2×#10587583C2211yescharacteristic
48C2×#10587583C2211yescharacteristic, complemented
49C2×#10587583C2211yescharacteristic, complemented
50C2×#10587610C2211yescharacteristic, complemented
51C2×#10587610C2211yescharacteristic, complemented
52C2×#10587582C2211yescharacteristic
53C2×#10587582C2211yescharacteristic
54C2×#10587582C2211yescharacteristic, complemented
55C2×#10587582C2211yescharacteristic, complemented
56C2×#10587582C2211yescharacteristic, complemented
57C2×#10587564C2211yescharacteristic, complemented
58C2×#10587564C2211yescharacteristic, complemented
59C2×#10587564C2211yescharacteristic, complemented
60C2×#10587632C2211yescharacteristic
61C2×#10587632C2211yescharacteristic, complemented
62C2×#10587581C2211yescharacteristic
63C2×#10587616C2211yescharacteristic
64C2×#10587570C2211yescharacteristic
65C2×#10587570C2211yescharacteristic
66C2×#10587625C2211yescharacteristic
67C2×#10587625C2211yescharacteristic
68C2×#10587624C2211yescharacteristic
69#121×D17—28no—
70C2×C4⋊C4×D17C2211yescharacteristic
71C22×#63227C2211yescharacteristic
72C2×C22⋊C4×D17C2211yescharacteristic
73C2×C22⋊C4×D17C2211yescharacteristic
74C2×C22⋊C4×D17C2211yescharacteristic
75#11762745C2211yescharacteristic, complemented
76#11762744C2211yescharacteristic, complemented
77#11762744C2211yescharacteristic, complemented
78#11762743C2211yescharacteristic, complemented
79#11762742C2211yescharacteristic, complemented
80#11762741C2211yescharacteristic, complemented
81#11762739C2211yescharacteristic, complemented
82#11762732C2211yescharacteristic, complemented
83#11762732C2211yescharacteristic, complemented
84#11762732C2211yescharacteristic, complemented
85#11762731C2211yescharacteristic, complemented
86#11762731C2211yescharacteristic, complemented
87#11762731C2211yescharacteristic, complemented
88#11762731C2211yescharacteristic, complemented
89#11762730C2211yescharacteristic, complemented
90#11762729C2211yescharacteristic, complemented
91#11762728C2211yescharacteristic, complemented
92#11762727C2211yescharacteristic, complemented
93#11762727C2211yescharacteristic, complemented
94#11762727C2211yescharacteristic, complemented
95#11762726C2211yescharacteristic, complemented
96#11762726C2211yescharacteristic, complemented
97#11762726C2211yescharacteristic, complemented
98#11762725C2211yescharacteristic, complemented
99#11762725C2211yescharacteristic, complemented
100#11762725C2211yescharacteristic, complemented
101#11762725C2211yescharacteristic, complemented
102#11762724C2211yescharacteristic, complemented
103#11762724C2211yescharacteristic, complemented
104#11762724C2211yescharacteristic, complemented
105#11762724C2211yescharacteristic, complemented
106#11762724C2211yescharacteristic, complemented
107#11762724C2211yescharacteristic, complemented
108#11762724C2211yescharacteristic, complemented
109#11762724C2211yescharacteristic, complemented
110#11762723C2211yescharacteristic, complemented
111#11762723C2211yescharacteristic, complemented
112#11762723C2211yescharacteristic, complemented
113#11762722C2211yescharacteristic, complemented
114#11762722C2211yescharacteristic, complemented
115#11762721C2211yescharacteristic, complemented
116#11762721C2211yescharacteristic, complemented
117#11762712C2211yescharacteristic, complemented
118#11762711C2211yescharacteristic, complemented
119#11762709C2211yescharacteristic, complemented
120#11762709C2211yescharacteristic, complemented
121#11762707C2211yescharacteristic, complemented
122#11762706C2211yescharacteristic, complemented
123#11762706C2211yescharacteristic, complemented
124#11762705C2211yescharacteristic, complemented
125#11762705C2211yescharacteristic, complemented
126#11762704C2211yescharacteristic, complemented
127#11762704C2211yescharacteristic, complemented
128#11762703C2211yescharacteristic, complemented
129#11762702C2211yescharacteristic, complemented
130#11762701C2211yescharacteristic, complemented
131#11762700C2211yescharacteristic, complemented
132#11762699C2211yescharacteristic, complemented
133#11762698C2211yescharacteristic, complemented
134#11762697C2211yescharacteristic, complemented
135#11762689C2211yescharacteristic, complemented
136#11762688C2211yescharacteristic, complemented
137#11762687C2211yescharacteristic, complemented
138#11762687C2211yescharacteristic, complemented
139#11762686C2211yescharacteristic, complemented
140#11762685C2211yescharacteristic, complemented
141#11762685C2211yescharacteristic, complemented
142#11762684C2211yescharacteristic, complemented
143#11762684C2211yescharacteristic, complemented
144#11762683C2211yescharacteristic
145#11762683C2211yescharacteristic
146#11762683C2211yescharacteristic
147#11762683C2211yescharacteristic
148#11762683C2211yescharacteristic, complemented
149#11762683C2211yescharacteristic, complemented
150#11762683C2211yescharacteristic, complemented
151#11762682C2211yescharacteristic, complemented
152#11762680C2211yescharacteristic
153#11762680C2211yescharacteristic
154#11762680C2211yescharacteristic
155#11762680C2211yescharacteristic
156#11762680C2211yescharacteristic, complemented
157#11762668C2211yescharacteristic
158#11762668C2211yescharacteristic, complemented
159#11762667C2211yescharacteristic, complemented
160#11762666C2211yescharacteristic
161#11762666C2211yescharacteristic, complemented
162#11762664C2211yescharacteristic
163#11762664C2211yescharacteristic
164#11762664C2211yescharacteristic
165#11762664C2211yescharacteristic
166#11762664C2211yescharacteristic
167#11762664C2211yescharacteristic
168#11762664C2211yescharacteristic
169#11762664C2211yescharacteristic
170#11762664C2211yescharacteristic
171#11762664C2211yescharacteristic
172C4×#63227C2211yescharacteristic
173#11762656C2211yescharacteristic
174C2×C17×#124C2211yescharacteristic, complemented
175C2×C17×#123C2211yescharacteristic, complemented
176C2×C17×C22⋊Q8C2211yescharacteristic, complemented
177C2×C17×#121C2211yescharacteristic
178C17×#399C2211yescharacteristic, complemented
179C17×#396C2211yescharacteristic, complemented
180C17×#395C2211yescharacteristic, complemented
181C17×#394C2211yescharacteristic, complemented
182C17×#394C2211yescharacteristic, complemented
183C17×#394C2211yescharacteristic, complemented
184C17×#389C2211yescharacteristic, complemented
185C17×#388C2211yescharacteristic, complemented
186C17×#386C2211yescharacteristic, complemented
187C17×#385C2211yescharacteristic, complemented
188C17×#380C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C24×D17C2311yescharacteristic
192C22×Q8×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C23×Dic17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C2×D4×D17—24no—
207C2×D4×D17—24no—
208C2×D4×D17—24no—
209C2×D4×D17—42no—
210C2×D4×D17—42no—
211C2×D4×D17—42no—
212C2×D4×D17—42no—
213C2×D4×D17—42no—
214C2×D4×D17—42no—
215C22×D68C2311yescharacteristic
216C22×D68C2311yescharacteristic
217C22×D68C2311yescharacteristic
218C22×C4×D17—24no—
219C22×C4×D17—42no—
220C22×C4×D17—42no—
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C22×Dic34C2311yescharacteristic
230C22×Dic34C2311yescharacteristic
231C22×Dic34C2311yescharacteristic
232C17×#124—42no—
233C17×#123—42no—
234C17×C22⋊Q8—24no—
235C17×#121—24no—
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C4⋊C4×C17C2311yescharacteristic
240C2×C4⋊C4×C17C2311yescharacteristic
241C2×C4⋊C4×C17C2311yescharacteristic
242C2×C4⋊C4×C17C2311yescharacteristic
243C2×C4⋊C4×C17C2311yescharacteristic
244C2×C4⋊C4×C17C2311yescharacteristic
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×C42×C17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272#10587633—42no—
273#10587632—24no—
274#10587632—24no—
275#10587625—24no—
276#10587625—24no—
277#10587624—24no—
278#10587621—42no—
279#10587616—24no—
280#10587615—42no—
281C2×#63227—24no—
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×#63227C2311yescharacteristic
310C2×#63227C2311yescharacteristic
311C2×#63227C2311yescharacteristic
312C2×#63227C2311yescharacteristic
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
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
325#10587610—24no—
326#10587610—42no—
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×#63225C2311yescharacteristic
330C2×#63225C2311yescharacteristic
331C2×#63225C2311yescharacteristic
332C2×#63225C2311yescharacteristic
333C2×#63225C2311yescharacteristic
334C2×#63225C2311yescharacteristic
335C2×#63225C2311yescharacteristic
336C2×#63225C2311yescharacteristic
337C2×#63225C2311yescharacteristic
338C2×#63225C2311yescharacteristic
339C2×#63225C2311yescharacteristic
340C2×#63225C2311yescharacteristic
341C2×#63225C2311yescharacteristic
342C2×#63225C2311yescharacteristic
343C2×#63225C2311yescharacteristic
344C2×#63225C2311yescharacteristic
345C2×C4×Dic17C2311yescharacteristic
346C2×C4×Dic17C2311yescharacteristic
347C2×C4×Dic17C2311yescharacteristic
348#10587583—24no—
349#10587583—24no—
350#10587583—42no—
351#10587582—24no—
352#10587582—24no—
353#10587582—24no—
354#10587582—24no—
355#10587582—42no—
356#10587581—24no—
357#10587580—42no—
358#10587580—42no—
359C4⋊C4×D17—24no—
360#10587572—42no—
361#10587571—42no—
362#10587571—42no—
363#10587570—24no—
364#10587570—24no—
365#10587569—42no—
366#10587569—42no—
367C22⋊C4×D17—24no—
368C22⋊C4×D17—24no—
369C22⋊C4×D17D418yes—
370#10587564—24no—
371#10587564—24no—
372#10587564—42no—
373C17×#95C2311yescharacteristic
374C17×#95C2311yescharacteristic
375C17×#95C2311yescharacteristic
376C17×#95C2311yescharacteristic
377C17×#95C2311yescharacteristic
378C17×#95C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391#10587502C2311yescharacteristic
392#10587502C2311yescharacteristic
393#10587502C2311yescharacteristic
394#10587502C2311yescharacteristic
395#10587502C2311yescharacteristic
396#10587502C2311yescharacteristic
397C24×C17C2411yescharacteristic
398C24×C17C2411yescharacteristic
399C24×C17C2411yescharacteristic
400C23×D17—22no—
401C23×D17—22no—
402C23×D17—22no—
403C23×D17—22no—
404C23×D17—22no—
405C23×D17—22no—
406C23×D17—22no—
407C23×D17—22no—
408C23×D17—22no—
409C23×D17—22no—
410C23×D17—41no—
411C23×D17—41no—
412C23×D17—41no—
413C23×D17—41no—
414C23×D17—41no—
415C23×D17—41no—
416C23×D17—41no—
417C23×D17—41no—
418C23×D17—41no—
419C23×D17—41no—
420C23×D17C2×D414yes—
421C23×D17C2411yescharacteristic
422C23×D17C2411yescharacteristic
423C23×D17C2411yescharacteristic
424C23×D17C2411yescharacteristic
425C2×Q8×C17—22no—
426C2×Q8×C17—41no—
427C2×Q8×C17—41no—
428C2×D4×C17—22no—
429C2×D4×C17—22no—
430C2×D4×C17—22no—
431C2×D4×C17—22no—
432C2×D4×C17—22no—
433C2×D4×C17—22no—
434C2×D4×C17—41no—
435C2×D4×C17—41no—
436C2×D4×C17—41no—
437C22×C4×C17—22no—
438C22×C4×C17—22no—
439C22×C4×C17—22no—
440C22×C4×C17—41no—
441C22×C4×C17—41no—
442C22×C4×C17—41no—
443C22×C4×C17C2411yescharacteristic
444C22×C4×C17C2411yescharacteristic
445C22×C4×C17C2411yescharacteristic
446C22×C4×C17C2411yescharacteristic
447C22×C4×C17C2411yescharacteristic
448C22×C4×C17C2411yescharacteristic
449C22×C4×C17C2411yescharacteristic
450C22×C4×C17C2411yescharacteristic
451C22×C4×C17C2411yescharacteristic
452C22×C4×C17C2411yescharacteristic
453C22×C4×C17C2411yescharacteristic
454C22×C4×C17C2411yescharacteristic
455C2×C22⋊D17—22no—
456C2×C22⋊D17—22no—
457C2×C22⋊D17—22no—
458C2×C22⋊D17—22no—
459C2×C22⋊D17—22no—
460C2×C22⋊D17—22no—
461C2×C22⋊D17—22no—
462C2×C22⋊D17—22no—
463C2×C22⋊D17—22no—
464C2×C22⋊D17—22no—
465C2×C22⋊D17—22no—
466C2×C22⋊D17—22no—
467C2×C22⋊D17—41no—
468C2×C22⋊D17—41no—
469C2×C22⋊D17—41no—
470C2×C22⋊D17—41no—
471C2×C22⋊D17—41no—
472C2×C22⋊D17—41no—
473C22×Dic17—22no—
474C22×Dic17—22no—
475C22×Dic17—22no—
476C22×Dic17—41no—
477C22×Dic17—41no—
478C22×Dic17—41no—
479C22×Dic17C2411yescharacteristic
480C22×Dic17C2411yescharacteristic
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483C22×Dic17C2411yescharacteristic
484C22×Dic17C2411yescharacteristic
485C22×Dic17C2411yescharacteristic
486C22×Dic17C2411yescharacteristic
487C22×Dic17C2411yescharacteristic
488C22×Dic17C2411yescharacteristic
489C22×Dic17C2411yescharacteristic
490C22×Dic17C2411yescharacteristic
491D4×D17—416no—
492D4×D17—416no—
493D4×D17—416no—
494C2×D68—22no—
495C2×D68—22no—
496C2×D68—22no—
497C2×D68—22no—
498C2×D68—22no—
499C2×D68—22no—
500C2×D68—41no—
501C2×D68—41no—
502C2×D68—41no—
503C2×C4×D17—22no—
504C2×C4×D17—22no—
505C2×C4×D17—22no—
506C2×C4×D17—22no—
507C2×C4×D17—22no—
508C2×C4×D17—22no—
509C2×C4×D17—22no—
510C2×C4×D17—22no—
511C2×C4×D17—22no—
512C2×C4×D17—22no—
513C2×C4×D17—416no—
514C2×C4×D17—41no—
515C2×C4×D17—41no—
516C2×C4×D17—41no—
517C2×C4×D17—41no—
518C2×C4×D17—41no—
519C2×C4×D17—41no—
520C2×C4×D17—41no—
521C2×C4×D17—41no—
522C2×C4×D17—41no—
523C2×C4×D17—41no—
524C2×C4×D17—41no—
525C2×C4×D17—41no—
526C2×C4×D17C2×D414yes—
527C2×C4×D17C2×D414yes—
528C2×Dic34—22no—
529C2×Dic34—22no—
530C2×Dic34—22no—
531C2×Dic34—41no—
532C2×Dic34—41no—
533C2×Dic34—41no—
534C2×Dic34—41no—
535C2×Dic34—41no—
536C2×Dic34—41no—
537C4⋊C4×C17—22no—
538C4⋊C4×C17—22no—
539C4⋊C4×C17—22no—
540C4⋊C4×C17—22no—
541C4⋊C4×C17—22no—
542C4⋊C4×C17—41no—
543C4⋊C4×C17—41no—
544C4⋊C4×C17—41no—
545C4⋊C4×C17—41no—
546C22⋊C4×C17—22no—
547C22⋊C4×C17—22no—
548C22⋊C4×C17—22no—
549C22⋊C4×C17—22no—
550C22⋊C4×C17—22no—
551C22⋊C4×C17—41no—
552C22⋊C4×C17—41no—
553C22⋊C4×C17—41no—
554C22⋊C4×C17—41no—
555C22⋊C4×C17—41no—
556C22⋊C4×C17—41no—
557C22⋊C4×C17—41no—
558C22⋊C4×C17C2×D414yes—
559C42×C17—41no—
560C22⋊Dic17—22no—
561C22⋊Dic17—22no—
562C22⋊Dic17—22no—
563C22⋊Dic17—41no—
564C22⋊Dic17—41no—
565C22⋊Dic17—41no—
566C22⋊Dic17—41no—
567C22⋊Dic17—41no—
568C22⋊Dic17—41no—
569C22⋊Dic17—41no—
570C22⋊Dic17—41no—
571C22⋊Dic17—41no—
572C22⋊Dic17C2×D414yes—
573#63227—22no—
574#63227—22no—
575#63227—22no—
576#63227—22no—
577#63227—22no—
578#63227—22no—
579#63227—22no—
580#63227—22no—
581#63227—22no—
582#63227—22no—
583#63227—22no—
584#63227—22no—
585#63227—22no—
586#63227—22no—
587#63227—22no—
588#63227—22no—
589#63227—41no—
590#63227—41no—
591#63227—41no—
592#63227—41no—
593#63227—41no—
594#63227—41no—
595#63227—41no—
596#63227—41no—
597#63227—41no—
598#63227—41no—
599#63227—41no—
600#63227—41no—
601#63227—41no—
602#63227—41no—
603#63227—41no—
604#63227—41no—
605#63227C2×D414yes—
606#63227C2×D414yes—
607C4⋊Dic17—22no—
608C4⋊Dic17—22no—
609C4⋊Dic17—22no—
610C4⋊Dic17—22no—
611C4⋊Dic17—22no—
612C4⋊Dic17—22no—
613C4⋊Dic17—22no—
614C4⋊Dic17—41no—
615C4⋊Dic17—41no—
616#63225—22no—
617#63225—22no—
618#63225—22no—
619#63225—22no—
620#63225—22no—
621#63225—22no—
622#63225—22no—
623#63225—22no—
624#63225—22no—
625#63225—22no—
626#63225—22no—
627#63225—22no—
628#63225—41no—
629#63225—41no—
630#63225—41no—
631#63225—41no—
632#63225—41no—
633#63225—41no—
634C4×Dic17—41no—
635C4×Dic17—41no—
636C4×Dic17—41no—
637#36718—171nomaximal, Sylow
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17—21no—
642C23×C17—21no—
643C23×C17—21no—
644C23×C17—21no—
645C23×C17—21no—
646C23×C17—21no—
647C23×C17—21no—
648C23×C17—21no—
649C23×C17—21no—
650C23×C17—21no—
651C23×C17—21no—
652C23×C17—21no—
653C23×C17—21no—
654C23×C17—21no—
655C23×C17—21no—
656C23×C17—21no—
657C23×C17C22×D412yes—
658C23×C17H(5,𝔽2)12yes—
659C23×C17C2511yescharacteristic
660C22×D17—21no—
661C22×D17—21no—
662C22×D17—21no—
663C22×D17—21no—
664C22×D17—28no—
665C22×D17—21no—
666C22×D17—21no—
667C22×D17—21no—
668C22×D17—21no—
669C22×D17—21no—
670C22×D17—21no—
671C22×D17—21no—
672C22×D17—21no—
673C22×D17—21no—
674C22×D17—21no—
675C22×D17—21no—
676C22×D17—21no—
677C22×D17—28no—
678C22×D17—21no—
679C22×D17—21no—
680C22×D17—21no—
681C22×D17—21no—
682C22×D17—21no—
683C22×D17—21no—
684C22×D17—21no—
685C22×D17—44no—
686C22×D17—44no—
687C22×D17—44no—
688C22×D17—44no—
689C22×D17—44no—
690C22×D17—44no—
691C22×D17—44no—
692C22×D17—44no—
693C22×D17—44no—
694C22×D17—44no—
695C22×D17—44no—
696C22×D17—82no—
697C22×D17—82no—
698C22×D17—82no—
699C22×D17—82no—
700C22×D17—82no—
701C22×D17—82no—
702C22×D17—82no—
703C22×D17—82no—
704C22×D17C22×D412yes—
705C22×D17C22×D412yes—
706C22×D17H(5,𝔽2)12yes—
707C22×D172−1+412yes—
708C22×D172−1+412yes—
709Q8×C17—82no—
710D4×C17—44no—
711D4×C17—44no—
712D4×C17—44no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—21no—
721C2×C4×C17—21no—
722C2×C4×C17—21no—
723C2×C4×C17—21no—
724C2×C4×C17—21no—
725C2×C4×C17—21no—
726C2×C4×C17—21no—
727C2×C4×C17—21no—
728C2×C4×C17—21no—
729C2×C4×C17—21no—
730C2×C4×C17—21no—
731C2×C4×C17—21no—
732C2×C4×C17—21no—
733C2×C4×C17—21no—
734C2×C4×C17—21no—
735C2×C4×C17—21no—
736C2×C4×C17—21no—
737C2×C4×C17—21no—
738C2×C4×C17—21no—
739C2×C4×C17—21no—
740C2×C4×C17—21no—
741C2×C4×C17—21no—
742C2×C4×C17—21no—
743C2×C4×C17—21no—
744C2×C4×C17—21no—
745C2×C4×C17—21no—
746C2×C4×C17—44no—
747C2×C4×C17—82no—
748C2×C4×C17C22×D412yes—
749C2×C4×C17C22×D412yes—
750C2×C4×C17H(5,𝔽2)12yes—
751C22⋊D17—44no—
752C22⋊D17—44no—
753C22⋊D17—44no—
754C22⋊D17—44no—
755C22⋊D17—44no—
756C22⋊D17—44no—
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—21no—
766C2×Dic17—21no—
767C2×Dic17—21no—
768C2×Dic17—21no—
769C2×Dic17—21no—
770C2×Dic17—21no—
771C2×Dic17—21no—
772C2×Dic17—21no—
773C2×Dic17—21no—
774C2×Dic17—21no—
775C2×Dic17—21no—
776C2×Dic17—21no—
777C2×Dic17—21no—
778C2×Dic17—21no—
779C2×Dic17—21no—
780C2×Dic17—21no—
781C2×Dic17—21no—
782C2×Dic17—21no—
783C2×Dic17—21no—
784C2×Dic17—21no—
785C2×Dic17—21no—
786C2×Dic17—21no—
787C2×Dic17—21no—
788C2×Dic17—21no—
789C2×Dic17—21no—
790C2×Dic17—44no—
791C2×Dic17—82no—
792C2×Dic17C22×D412yes—
793C2×Dic17C22×D412yes—
794C2×Dic17H(5,𝔽2)12yes—
795D68—44no—
796D68—44no—
797D68—44no—
798C4×D17—28no—
799C4×D17—44no—
800C4×D17—44no—
801C4×D17—44no—
802C4×D17—44no—
803C4×D17—44no—
804C4×D17—82no—
805C4×D17—82no—
806Dic34—82no—
807Dic34—82no—
808Dic34—82no—
809C2×#543—171no—
810C22×#121—171no—
811#2848—171no—
812#2848—171no—
813#2681—171no—
814#2681—171no—
815#2681—171no—
816#2681—171no—
817#2681—171no—
818#2681—171no—
819#2681—171no—
820#2681—171no—
821#2672—171no—
822#2672—171no—
823#2672—171no—
824#2672—171no—
825#2672—171no—
826#2672—171no—
827#2672—171no—
828#2672D1711yescharacteristic, complemented
829#2626—171no—
830#2626—171no—
831#2583—171no—
832#2583—171no—
833#2435—171no—
834#2435—171no—
835#2405—171no—
836#2405—171no—
837#2405—171no—
838#2405—171no—
839#2312—171no—
840C22×C17—22no—
841C22×C17—22no—
842C22×C17—22no—
843C22×C17—22no—
844C22×C17—22no—
845C22×C17—22no—
846C22×C17—41no—
847C22×C17—41no—
848C22×C17—41no—
849C22×C17—41no—
850C22×C17—41no—
851C22×C17—41no—
852C22×C17—41no—
853C22×C17—41no—
854C22×C17—41no—
855C22×C17—41no—
856C22×C17—41no—
857C22×C17—41no—
858C22×C17—41no—
859C22×C17—41no—
860C22×C17—41no—
861C22×C17C23×D411yescharacteristic
862C22×C17C2×H(5,𝔽2)11yescharacteristic
863C22×C17C2×H(5,𝔽2)11yescharacteristic
864C22×C17C2×H(5,𝔽2)11yescharacteristic
865C22×C17C2×H(5,𝔽2)11yescharacteristic
866C22×C17C2×2−1+411yescharacteristic
867C22×C17C2×2−1+411yescharacteristic
868C2×D17—22no—
869C2×D17—22no—
870C2×D17—22no—
871C2×D17—22no—
872C2×D17—22no—
873C2×D17—22no—
874C2×D17—22no—
875C2×D17—22no—
876C2×D17—22no—
877C2×D17—22no—
878C2×D17—22no—
879C2×D17—22no—
880C2×D17—416no—
881C2×D17—41no—
882C2×D17—41no—
883C2×D17—41no—
884C2×D17—41no—
885C2×D17—41no—
886C2×D17—41no—
887C2×D17—41no—
888C2×D17—41no—
889C2×D17—41no—
890C2×D17—41no—
891C2×D17—41no—
892C2×D17—41no—
893C2×D17—41no—
894C2×D17—41no—
895C2×D17—41no—
896C2×D17—88no—
897C2×D17—88no—
898C2×D17#53614yes—
899C4×C17—22no—
900C4×C17—22no—
901C4×C17—22no—
902C4×C17—41no—
903C4×C17—41no—
904C4×C17—41no—
905C4×C17—41no—
906C4×C17—41no—
907C4×C17—41no—
908C4×C17—41no—
909C4×C17—41no—
910C4×C17—41no—
911Dic17—22no—
912Dic17—22no—
913Dic17—22no—
914Dic17—41no—
915Dic17—41no—
916Dic17—41no—
917Dic17—41no—
918Dic17—41no—
919Dic17—41no—
920Dic17—41no—
921Dic17—41no—
922Dic17—41no—
923C23×D4—171no—
924C23×D4—171no—
925C23×D4—171no—
926C24×C4—171no—
927#543—348no—
928C2×#124—171no—
929C2×#124—171no—
930C2×#124—171no—
931C2×#124C2×D1711yescharacteristic, complemented
932C2×#123—171no—
933C2×#123—171no—
934C2×#123—171no—
935C2×#123—171no—
936C2×#123—171no—
937C2×#123—171no—
938C2×#123—171no—
939C2×#123C2×D1711yescharacteristic, complemented
940C2×C22⋊Q8—171no—
941C2×C22⋊Q8—171no—
942C2×C22⋊Q8—171no—
943C2×C22⋊Q8—171no—
944C2×C22⋊Q8—171no—
945C2×C22⋊Q8—171no—
946C2×C22⋊Q8—171no—
947C2×C22⋊Q8—171no—
948C2×C22⋊Q8—171no—
949C2×C22⋊Q8—171no—
950C2×C22⋊Q8—171no—
951C2×C22⋊Q8—171no—
952C2×C22⋊Q8—171no—
953C2×C22⋊Q8—171no—
954C2×C22⋊Q8—171no—
955C2×C22⋊Q8C2×D1711yescharacteristic, complemented
956C2×#121—171no—
957C2×#121—171no—
958C2×#121—171no—
959C2×#121—171no—
960C2×#121—171no—
961C2×#121—171no—
962C2×#121—171no—
963C2×#121—348no—
964C2×#121C2×D1711yescharacteristic
965C22×C4⋊C4—171no—
966C22×C22⋊C4—171no—
967C22×C22⋊C4—171no—
968C22×C22⋊C4—171no—
969C22×C22⋊C4—171no—
970#399—171no—
971#399—171no—
972#399—171no—
973#399C2×D1711yescharacteristic, complemented
974#398—171no—
975#398—171no—
976#398—171no—
977#398—171no—
978#396—171no—
979#396—171no—
980#396—171no—
981#396—171no—
982#396—171no—
983#396—171no—
984#396—171no—
985#396C2×D1711yescharacteristic, complemented
986#395—171no—
987#395—171no—
988#395—171no—
989#395C2×D1711yescharacteristic, complemented
990#394—171no—
991#394—171no—
992#394—171no—
993#394—171no—
994#394—171no—
995#394—171no—
996#394—171no—
997#394—171no—
998#394—171no—
999#394—171no—
1000#394—171no—
1001#394—171no—
1002#394—171no—
1003#394—171no—
1004#394—171no—
1005#394—171no—
1006#394—171no—
1007#394—171no—
1008#394—171no—
1009#394—171no—
1010#394—171no—
1011#394C2×D1711yescharacteristic, complemented
1012#394C2×D1711yescharacteristic, complemented
1013#394C2×D1711yescharacteristic, complemented
1014#393—171no—
1015#393—171no—
1016#393—171no—
1017#393—171no—
1018#390—171no—
1019#390—171no—
1020#390—171no—
1021#390—171no—
1022#389—171no—
1023#389—171no—
1024#389—171no—
1025#389—171no—
1026#389—171no—
1027#389—171no—
1028#389—171no—
1029#389C2×D1711yescharacteristic, complemented
1030#388—171no—
1031#388—171no—
1032#388—171no—
1033#388—171no—
1034#388—171no—
1035#388—171no—
1036#388—171no—
1037#388C2×D1711yescharacteristic, complemented
1038#386—171no—
1039#386—171no—
1040#386—171no—
1041#386—171no—
1042#386—171no—
1043#386—171no—
1044#386—171no—
1045#386C2×D1711yescharacteristic, complemented
1046#385—171no—
1047#385—171no—
1048#385—171no—
1049#385—171no—
1050#385—171no—
1051#385—171no—
1052#385—171no—
1053#385—171no—
1054#385—171no—
1055#385—171no—
1056#385—171no—
1057#385—171no—
1058#385—171no—
1059#385—171no—
1060#385—171no—
1061#385C2×D1711yescharacteristic, complemented
1062#380—171no—
1063#380—171no—
1064#380—171no—
1065#380—171no—
1066#380—171no—
1067#380C2×D1711yescharacteristic, complemented
1068#379—171no—
1069#379—171no—
1070#379—171no—
1071#379—171no—
1072#379—171no—
1073#379—171no—
1074#379—171no—
1075#379—171no—
1076#379—171no—
1077#379—171no—
1078C4×C22⋊C4—171no—
1079C4×C22⋊C4—171no—
1080C2×C17—42no—
1081C2×C17—42no—
1082C2×C17—81no—
1083C2×C17C2×#53611yescharacteristic
1084C2×C17#348411yescharacteristic
1085C2×C17#348411yescharacteristic
1086C2×C17#353611yescharacteristic
1087C2×C17#353611yescharacteristic
1088C2×C17#353611yescharacteristic
1089C2×C17#353611yescharacteristic
1090D17—24no—
1091D17—42no—
1092D17—42no—
1093D17—81no—
1094C25—171no—
1095C25—171no—
1096C25—171no—
1097C22×Q8—171no—
1098C22×Q8—171no—
1099C22×Q8—171no—
1100C22×Q8C22×D1711yescharacteristic
1101C22×D4—171no—
1102C22×D4—171no—
1103C22×D4—171no—
1104C22×D4—171no—
1105C22×D4—171no—
1106C22×D4—171no—
1107C22×D4—171no—
1108C22×D4—171no—
1109C22×D4—171no—
1110C22×D4—344no—
1111C22×D4—344no—
1112C22×D4—344no—
1113C22×D4—682no—
1114C22×D4—682no—
1115C22×D4—682no—
1116C22×D4—682no—
1117C22×D4—682no—
1118C22×D4—682no—
1119C22×D4C22×D1711yescharacteristic
1120C22×D4C22×D1711yescharacteristic
1121C22×D4C22×D1711yescharacteristic
1122C23×C4—171no—
1123C23×C4—171no—
1124C23×C4—171no—
1125C23×C4—171no—
1126C23×C4—171no—
1127C23×C4—171no—
1128C23×C4—171no—
1129C23×C4—171no—
1130C23×C4—171no—
1131C23×C4—171no—
1132C23×C4—344no—
1133C23×C4—682no—
1134C23×C4—682no—
1135C23×C4C22×D1711yescharacteristic
1136C23×C4C22×D1711yescharacteristic
1137#124—42no—
1138#124—682no—
1139#124—682no—
1140#124—682no—
1141#123—42no—
1142#123—682no—
1143#123—682no—
1144#123—682no—
1145#123—682no—
1146#123—682no—
1147#123—682no—
1148#123—682no—
1149C22⋊Q8—24no—
1150C22⋊Q8—344no—
1151C22⋊Q8—344no—
1152C22⋊Q8—344no—
1153C22⋊Q8—344no—
1154C22⋊Q8—344no—
1155C22⋊Q8—344no—
1156C22⋊Q8—344no—
1157C22⋊Q8—344no—
1158C22⋊Q8—344no—
1159C22⋊Q8—344no—
1160C22⋊Q8—344no—
1161C22⋊Q8—682no—
1162C22⋊Q8—682no—
1163C22⋊Q8—682no—
1164C22⋊Q8—682no—
1165#121—24no—
1166#121—344no—
1167#121—344no—
1168#121—344no—
1169#121—344no—
1170#121—344no—
1171#121—344no—
1172#121—344no—
1173C2×C4⋊C4—171no—
1174C2×C4⋊C4—171no—
1175C2×C4⋊C4—171no—
1176C2×C4⋊C4—171no—
1177C2×C4⋊C4—171no—
1178C2×C4⋊C4—171no—
1179C2×C4⋊C4—171no—
1180C2×C4⋊C4—171no—
1181C2×C4⋊C4—171no—
1182C2×C4⋊C4—171no—
1183C2×C4⋊C4—171no—
1184C2×C4⋊C4—171no—
1185C2×C4⋊C4—171no—
1186C2×C4⋊C4—171no—
1187C2×C4⋊C4—171no—
1188C2×C4⋊C4—171no—
1189C2×C4⋊C4—171no—
1190C2×C4⋊C4—171no—
1191C2×C4⋊C4—171no—
1192C2×C4⋊C4—171no—
1193C2×C4⋊C4—171no—
1194C2×C4⋊C4—171no—
1195C2×C4⋊C4—171no—
1196C2×C4⋊C4—171no—
1197C2×C4⋊C4—171no—
1198C2×C4⋊C4—171no—
1199C2×C4⋊C4—171no—
1200C2×C4⋊C4—344no—
1201C2×C4⋊C4C22×D1711yescharacteristic
1202C2×C4⋊C4C22×D1711yescharacteristic
1203C2×C4⋊C4C22×D1711yescharacteristic
1204C2×C4⋊C4C22×D1711yescharacteristic
1205C2×C4⋊C4C22×D1711yescharacteristic
1206C2×C4⋊C4C22×D1711yescharacteristic
1207C2×C4⋊C4C22×D1711yescharacteristic
1208C2×C4⋊C4C22×D1711yescharacteristic
1209C2×C4⋊C4C22×D1711yescharacteristic
1210C2×C22⋊C4—171no—
1211C2×C22⋊C4—171no—
1212C2×C22⋊C4—171no—
1213C2×C22⋊C4—178no—
1214C2×C22⋊C4—171no—
1215C2×C22⋊C4—171no—
1216C2×C22⋊C4—171no—
1217C2×C22⋊C4—171no—
1218C2×C22⋊C4—171no—
1219C2×C22⋊C4—171no—
1220C2×C22⋊C4—171no—
1221C2×C22⋊C4—171no—
1222C2×C22⋊C4—171no—
1223C2×C22⋊C4—171no—
1224C2×C22⋊C4—171no—
1225C2×C22⋊C4—171no—
1226C2×C22⋊C4—171no—
1227C2×C22⋊C4—171no—
1228C2×C22⋊C4—171no—
1229C2×C22⋊C4—171no—
1230C2×C22⋊C4—171no—
1231C2×C22⋊C4—171no—
1232C2×C22⋊C4—171no—
1233C2×C22⋊C4—171no—
1234C2×C22⋊C4—171no—
1235C2×C22⋊C4—171no—
1236C2×C22⋊C4—171no—
1237C2×C22⋊C4—171no—
1238C2×C22⋊C4—171no—
1239C2×C22⋊C4—171no—
1240C2×C22⋊C4—171no—
1241C2×C22⋊C4—171no—
1242C2×C22⋊C4—171no—
1243C2×C22⋊C4—171no—
1244C2×C22⋊C4—171no—
1245C2×C22⋊C4—171no—
1246C2×C22⋊C4—171no—
1247C2×C22⋊C4—171no—
1248C2×C22⋊C4—171no—
1249C2×C22⋊C4—171no—
1250C2×C22⋊C4—171no—
1251C2×C22⋊C4—171no—
1252C2×C22⋊C4—171no—
1253C2×C22⋊C4—171no—
1254C2×C22⋊C4—171no—
1255C2×C22⋊C4—171no—
1256C2×C22⋊C4—171no—
1257C2×C22⋊C4—171no—
1258C2×C22⋊C4—344no—
1259C2×C22⋊C4—344no—
1260C2×C22⋊C4—344no—
1261C2×C22⋊C4C22×D1711yescharacteristic
1262C2×C22⋊C4C22×D1711yescharacteristic
1263C2×C22⋊C4C22×D1711yescharacteristic
1264C2×C22⋊C4C22×D1711yescharacteristic
1265C2×C22⋊C4C22×D1711yescharacteristic
1266C2×C22⋊C4C22×D1711yescharacteristic
1267C2×C22⋊C4C22×D1711yescharacteristic
1268C2×C22⋊C4C22×D1711yescharacteristic
1269C2×C22⋊C4C22×D1711yescharacteristic
1270C2×C22⋊C4C22×D1711yescharacteristic
1271C2×C22⋊C4C22×D1711yescharacteristic
1272C2×C22⋊C4C22×D1711yescharacteristic
1273C2×C22⋊C4C22×D1711yescharacteristic
1274C2×C42—171no—
1275C2×C42—171no—
1276C2×C42—171no—
1277C2×C42C22×D1711yescharacteristic
1278#95—171no—
1279#95—171no—
1280#95—171no—
1281#95—171no—
1282#95—171no—
1283#95—171no—
1284#95—171no—
1285#95—171no—
1286#95—171no—
1287#95—171no—
1288#95—171no—
1289#95—171no—
1290#95—171no—
1291#95—171no—
1292#95—171no—
1293#95—171no—
1294#95—171no—
1295#95—171no—
1296#95C22×D1711yescharacteristic
1297#95C22×D1711yescharacteristic
1298#95C22×D1711yescharacteristic
1299#95C22×D1711yescharacteristic
1300#95C22×D1711yescharacteristic
1301#95C22×D1711yescharacteristic
1302C17#3671811yescharacteristic, complemented, Sylow
1303C24—171no—
1304C24—171no—
1305C24—171no—
1306C24—174no—
1307C24—171no—
1308C24—342no—
1309C24—342no—
1310C24—342no—
1311C24—342no—
1312C24—342no—
1313C24—342no—
1314C24—342no—
1315C24—342no—
1316C24—342no—
1317C24—342no—
1318C24—681no—
1319C24—681no—
1320C24—681no—
1321C24—681no—
1322C24—681no—
1323C24—681no—
1324C24—681no—
1325C24—681no—
1326C24—681no—
1327C24—681no—
1328C24C23×D1711yescharacteristic
1329C24C23×D1711yescharacteristic
1330C24C23×D1711yescharacteristic
1331C2×Q8—22no—
1332C2×Q8—41no—
1333C2×Q8—41no—
1334C2×Q8—342no—
1335C2×Q8—342no—
1336C2×Q8—342no—
1337C2×Q8—681no—
1338C2×Q8—681no—
1339C2×Q8—681no—
1340C2×Q8—681no—
1341C2×Q8—681no—
1342C2×Q8—681no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—342no—
1353C2×D4—342no—
1354C2×D4—342no—
1355C2×D4—342no—
1356C2×D4—342no—
1357C2×D4—342no—
1358C2×D4—342no—
1359C2×D4—342no—
1360C2×D4—342no—
1361C2×D4—342no—
1362C2×D4—342no—
1363C2×D4—342no—
1364C2×D4—342no—
1365C2×D4—342no—
1366C2×D4—342no—
1367C2×D4—342no—
1368C2×D4—342no—
1369C2×D4—342no—
1370C2×D4—681no—
1371C2×D4—681no—
1372C2×D4—681no—
1373C2×D4—6816no—
1374C2×D4—681no—
1375C2×D4—681no—
1376C2×D4—681no—
1377C2×D4—681no—
1378C2×D4—681no—
1379C2×D4—681no—
1380C2×D4—6816no—
1381C2×D4—6816no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—171no—
1389C22×C4—171no—
1390C22×C4—171no—
1391C22×C4—174no—
1392C22×C4—174no—
1393C22×C4—171no—
1394C22×C4—171no—
1395C22×C4—171no—
1396C22×C4—171no—
1397C22×C4—171no—
1398C22×C4—171no—
1399C22×C4—171no—
1400C22×C4—171no—
1401C22×C4—171no—
1402C22×C4—342no—
1403C22×C4—342no—
1404C22×C4—342no—
1405C22×C4—342no—
1406C22×C4—342no—
1407C22×C4—342no—
1408C22×C4—342no—
1409C22×C4—342no—
1410C22×C4—342no—
1411C22×C4—342no—
1412C22×C4—342no—
1413C22×C4—342no—
1414C22×C4—342no—
1415C22×C4—681no—
1416C22×C4—681no—
1417C22×C4—681no—
1418C22×C4—681no—
1419C22×C4—681no—
1420C22×C4—681no—
1421C22×C4—681no—
1422C22×C4—681no—
1423C22×C4—681no—
1424C22×C4—681no—
1425C22×C4—681no—
1426C22×C4—681no—
1427C22×C4—6816no—
1428C22×C4—681no—
1429C22×C4—681no—
1430C22×C4—681no—
1431C22×C4C23×D1711yescharacteristic
1432C22×C4C23×D1711yescharacteristic
1433C22×C4C23×D1711yescharacteristic
1434C22×C4C23×D1711yescharacteristic
1435C22×C4C23×D1711yescharacteristic
1436C22×C4C23×D1711yescharacteristic
1437C22×C4C23×D1711yescharacteristic
1438C22×C4C23×D1711yescharacteristic
1439C22×C4C23×D1711yescharacteristic
1440C22×C4C23×D1711yescharacteristic
1441C22×C4C23×D1711yescharacteristic
1442C22×C4C23×D1711yescharacteristic
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—41no—
1449C4⋊C4—41no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—342no—
1453C4⋊C4—342no—
1454C4⋊C4—342no—
1455C4⋊C4—342no—
1456C4⋊C4—342no—
1457C4⋊C4—342no—
1458C4⋊C4—342no—
1459C4⋊C4—342no—
1460C4⋊C4—342no—
1461C4⋊C4—342no—
1462C4⋊C4—342no—
1463C4⋊C4—342no—
1464C4⋊C4—342no—
1465C4⋊C4—342no—
1466C4⋊C4—342no—
1467C4⋊C4—342no—
1468C4⋊C4—342no—
1469C4⋊C4—342no—
1470C4⋊C4—342no—
1471C4⋊C4—681no—
1472C4⋊C4—681no—
1473C4⋊C4—681no—
1474C4⋊C4—681no—
1475C4⋊C4—681no—
1476C4⋊C4—681no—
1477C4⋊C4—681no—
1478C4⋊C4—681no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—174no—
1492C22⋊C4—174no—
1493C22⋊C4—174no—
1494C22⋊C4—342no—
1495C22⋊C4—342no—
1496C22⋊C4—342no—
1497C22⋊C4—342no—
1498C22⋊C4—342no—
1499C22⋊C4—342no—
1500C22⋊C4—342no—
1501C22⋊C4—342no—
1502C22⋊C4—342no—
1503C22⋊C4—342no—
1504C22⋊C4—342no—
1505C22⋊C4—342no—
1506C22⋊C4—342no—
1507C22⋊C4—342no—
1508C22⋊C4—342no—
1509C22⋊C4—342no—
1510C22⋊C4—342no—
1511C22⋊C4—342no—
1512C22⋊C4—342no—
1513C22⋊C4—681no—
1514C22⋊C4—681no—
1515C22⋊C4—681no—
1516C22⋊C4—681no—
1517C22⋊C4—681no—
1518C22⋊C4—681no—
1519C22⋊C4—681no—
1520C22⋊C4—681no—
1521C22⋊C4—681no—
1522C22⋊C4—681no—
1523C22⋊C4—681no—
1524C22⋊C4—681no—
1525C22⋊C4—681no—
1526C22⋊C4—681no—
1527C22⋊C4—681no—
1528C22⋊C4—681no—
1529C22⋊C4—681no—
1530C22⋊C4—681no—
1531C22⋊C4—681no—
1532C22⋊C4—681no—
1533C22⋊C4—681no—
1534C22⋊C4—681no—
1535C22⋊C4—681no—
1536C22⋊C4—681no—
1537C22⋊C4—681no—
1538C22⋊C4D4×D1714yes—
1539C42—41no—
1540C42—681no—
1541C42—681no—
1542C42—681no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—172no—
1563C23—172no—
1564C23—172no—
1565C23—172no—
1566C23—172no—
1567C23—348no—
1568C23—348no—
1569C23—341no—
1570C23—341no—
1571C23—341no—
1572C23—341no—
1573C23—341no—
1574C23—341no—
1575C23—341no—
1576C23—341no—
1577C23—341no—
1578C23—341no—
1579C23—341no—
1580C23—341no—
1581C23—341no—
1582C23—341no—
1583C23—341no—
1584C23—341no—
1585C23—341no—
1586C23—341no—
1587C23—341no—
1588C23—341no—
1589C23—341no—
1590C23—341no—
1591C23—341no—
1592C23—684no—
1593C23—684no—
1594C23—684no—
1595C23—684no—
1596C23—684no—
1597C23—684no—
1598C23—684no—
1599C23—684no—
1600C23—684no—
1601C23—684no—
1602C23—684no—
1603C23—1362no—
1604C23—1362no—
1605C23—1362no—
1606C23—1362no—
1607C23—1362no—
1608C23—1362no—
1609C23—1362no—
1610C23—1362no—
1611C23C2×D4×D1712yes—
1612C23#1058769112yes—
1613C23C24×D1711yescharacteristic
1614Q8—82no—
1615Q8—1362no—
1616Q8—1362no—
1617Q8—1362no—
1618D4—44no—
1619D4—44no—
1620D4—44no—
1621D4—684no—
1622D4—684no—
1623D4—684no—
1624D4—684no—
1625D4—684no—
1626D4—684no—
1627D4—684no—
1628D4—684no—
1629D4—684no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—44no—
1664C2×C4—82no—
1665C2×C4—172no—
1666C2×C4—172no—
1667C2×C4—172no—
1668C2×C4—348no—
1669C2×C4—341no—
1670C2×C4—341no—
1671C2×C4—341no—
1672C2×C4—341no—
1673C2×C4—341no—
1674C2×C4—341no—
1675C2×C4—341no—
1676C2×C4—341no—
1677C2×C4—341no—
1678C2×C4—341no—
1679C2×C4—341no—
1680C2×C4—341no—
1681C2×C4—341no—
1682C2×C4—341no—
1683C2×C4—341no—
1684C2×C4—341no—
1685C2×C4—341no—
1686C2×C4—341no—
1687C2×C4—341no—
1688C2×C4—341no—
1689C2×C4—341no—
1690C2×C4—341no—
1691C2×C4—341no—
1692C2×C4—341no—
1693C2×C4—341no—
1694C2×C4—341no—
1695C2×C4—341no—
1696C2×C4—341no—
1697C2×C4—341no—
1698C2×C4—341no—
1699C2×C4—341no—
1700C2×C4—341no—
1701C2×C4—341no—
1702C2×C4—684no—
1703C2×C4—684no—
1704C2×C4—684no—
1705C2×C4—684no—
1706C2×C4—684no—
1707C2×C4—684no—
1708C2×C4—1362no—
1709C2×C4—1362no—
1710C2×C4—1362no—
1711C2×C4C2×D4×D1712yes—
1712C2×C4C2×D4×D1712yes—
1713C2×C4#1058769612yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—174no—
1736C22—342no—
1737C22—342no—
1738C22—342no—
1739C22—342no—
1740C22—342no—
1741C22—342no—
1742C22—342no—
1743C22—342no—
1744C22—342no—
1745C22—342no—
1746C22—342no—
1747C22—342no—
1748C22—6816no—
1749C22—681no—
1750C22—681no—
1751C22—681no—
1752C22—681no—
1753C22—681no—
1754C22—681no—
1755C22—681no—
1756C22—681no—
1757C22—681no—
1758C22—681no—
1759C22—681no—
1760C22—681no—
1761C22—681no—
1762C22—681no—
1763C22—681no—
1764C22—1368no—
1765C22—1368no—
1766C22C22×D4×D1711yescharacteristic
1767C22H(5,𝔽2)×D1711yescharacteristic
1768C22H(5,𝔽2)×D1711yescharacteristic
1769C22C2×#1058769111yescharacteristic
1770C22C2×#1058769611yescharacteristic
1771C222−1+4×D1711yescharacteristic
1772C222−1+4×D1711yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—342no—
1786C4—342no—
1787C4—342no—
1788C4—681no—
1789C4—681no—
1790C4—681no—
1791C4—681no—
1792C4—681no—
1793C4—681no—
1794C4—681no—
1795C4—681no—
1796C4—681no—
1797C2—42no—
1798C2—42no—
1799C2—81no—
1800C2—344no—
1801C2—682no—
1802C2—682no—
1803C2—1361no—
1804C2D17×#53611yescharacteristic
1805C2#1454241211yescharacteristic
1806C2#1454241411yescharacteristic
1807C2#1454300111yescharacteristic
1808C2#1454300311yescharacteristic
1809C2#1454300711yescharacteristic
1810C2#1454300911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2672C2
prime radicalC2×#121×D17C2
hypercenter#2672D17
hypocenterC17#36718
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#11763434C2semidirect
3. #14537072C2semidirect
4. #14537070C2semidirect
5. #14535142C2semidirect
6. #14535141C2semidirect
7. #14535138C2semidirect
8. #14535137C2semidirect
9. #14535135C2semidirect
10. #14535134C2semidirect
11. #14535131C2semidirect
12. #14535130C2semidirect
13. #14535040C2semidirect
14. #14535039C2semidirect
15. #14535036C2semidirect
16. #14535035C2semidirect
17. #14535034C2semidirect
18. #14535031C2semidirect
19. #14535030C2semidirect
20. #14534594C2semidirect
21. #14534590C2semidirect
22. #14534162C2semidirect
23. #14534160C2semidirect
24. #14532432C2semidirect
25. #14532430C2semidirect
26. #14532110C2semidirect
27. #14532108C2semidirect
28. #14532106C2semidirect
29. #14532106C2semidirect
30. #14531378C2semidirect
31. C17×#2672C2semidirect
37. C2×#10587633C22semidirect
38. C2×#10587571C22semidirect
39. C2×#10587571C22semidirect
40. C2×#10587580C22semidirect
41. C2×#10587580C22semidirect
42. C2×#10587572C22semidirect
43. C2×#10587615C22semidirect
44. C2×#10587569C22semidirect
45. C2×#10587569C22semidirect
46. C2×#10587621C22semidirect
48. C2×#10587583C22semidirect
49. C2×#10587583C22semidirect
50. C2×#10587610C22semidirect
51. C2×#10587610C22semidirect
54. C2×#10587582C22semidirect
55. C2×#10587582C22semidirect
56. C2×#10587582C22semidirect
57. C2×#10587564C22semidirect
58. C2×#10587564C22semidirect
59. C2×#10587564C22semidirect
61. C2×#10587632C22semidirect
75. #11762745C22semidirect
76. #11762744C22semidirect
77. #11762744C22semidirect
78. #11762743C22semidirect
79. #11762742C22semidirect
80. #11762741C22semidirect
81. #11762739C22semidirect
82. #11762732C22semidirect
83. #11762732C22semidirect
84. #11762732C22semidirect
85. #11762731C22semidirect
86. #11762731C22semidirect
87. #11762731C22semidirect
88. #11762731C22semidirect
89. #11762730C22semidirect
90. #11762729C22semidirect
91. #11762728C22semidirect
92. #11762727C22semidirect
93. #11762727C22semidirect
94. #11762727C22semidirect
95. #11762726C22semidirect
96. #11762726C22semidirect
97. #11762726C22semidirect
98. #11762725C22semidirect
99. #11762725C22semidirect
100. #11762725C22semidirect
101. #11762725C22semidirect
102. #11762724C22semidirect
103. #11762724C22semidirect
104. #11762724C22semidirect
105. #11762724C22semidirect
106. #11762724C22semidirect
107. #11762724C22semidirect
108. #11762724C22semidirect
109. #11762724C22semidirect
110. #11762723C22semidirect
111. #11762723C22semidirect
112. #11762723C22semidirect
113. #11762722C22semidirect
114. #11762722C22semidirect
115. #11762721C22semidirect
116. #11762721C22semidirect
117. #11762712C22semidirect
118. #11762711C22semidirect
119. #11762709C22semidirect
120. #11762709C22semidirect
121. #11762707C22semidirect
122. #11762706C22semidirect
123. #11762706C22semidirect
124. #11762705C22semidirect
125. #11762705C22semidirect
126. #11762704C22semidirect
127. #11762704C22semidirect
128. #11762703C22semidirect
129. #11762702C22semidirect
130. #11762701C22semidirect
131. #11762700C22semidirect
132. #11762699C22semidirect
133. #11762698C22semidirect
134. #11762697C22semidirect
135. #11762689C22semidirect
136. #11762688C22semidirect
137. #11762687C22semidirect
138. #11762687C22semidirect
139. #11762686C22semidirect
140. #11762685C22semidirect
141. #11762685C22semidirect
142. #11762684C22semidirect
143. #11762684C22semidirect
148. #11762683C22semidirect
149. #11762683C22semidirect
150. #11762683C22semidirect
151. #11762682C22semidirect
156. #11762680C22semidirect
158. #11762668C22semidirect
159. #11762667C22semidirect
161. #11762666C22semidirect
174. C2×C17×#124C22semidirect
175. C2×C17×#123C22semidirect
176. C2×C17×C22⋊Q8C22semidirect
178. C17×#399C22semidirect
179. C17×#396C22semidirect
180. C17×#395C22semidirect
181. C17×#394C22semidirect
182. C17×#394C22semidirect
183. C17×#394C22semidirect
184. C17×#389C22semidirect
185. C17×#388C22semidirect
186. C17×#386C22semidirect
187. C17×#385C22semidirect
188. C17×#380C22semidirect
828. #2672D17semidirect
931. C2×#124C2×D17semidirect
939. C2×#123C2×D17semidirect
955. C2×C22⋊Q8C2×D17semidirect
973. #399C2×D17semidirect
985. #396C2×D17semidirect
989. #395C2×D17semidirect
1011. #394C2×D17semidirect
1012. #394C2×D17semidirect
1013. #394C2×D17semidirect
1029. #389C2×D17semidirect
1037. #388C2×D17semidirect
1045. #386C2×D17semidirect
1061. #385C2×D17semidirect
1067. #380C2×D17semidirect
1302. C17#36718semidirect

Maximal subgroups

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

subgroupindex
C2×#117634342
C2×#121×D172
#145370722
#145370702
#145351422
#145351412
#145351382
#145351372
#145351352
#145351342
#145351312
#145351302
#145350402
#145350392
#145350362
#145350352
#145350342
#145350312
#145350302
#145345942
#145345902
#145341622
#145341602
#145324322
#145324302
#145321102
#145321082
#145321062
#145313782
C17×#26722
#3671817