Finite Group Databasebeta

← #17243209

Subgroups — #17243209

Order 4352.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537066C211yesmaximal, characteristic, complemented
2#14536645C211yesmaximal, characteristic, complemented
3#14536504C211yesmaximal, characteristic, complemented
4#14536109C211yesmaximal, characteristic, complemented
5#14536062C211yesmaximal, characteristic, complemented
6#14536048C211yesmaximal, characteristic, complemented
7#14536003C211yesmaximal, characteristic, complemented
8#14535884C211yesmaximal, characteristic, complemented
9#14535513C211yesmaximal, characteristic, complemented
10#14535512C211yesmaximal, characteristic, complemented
11#14535468C211yesmaximal, characteristic, complemented
12#14535421C211yesmaximal, characteristic, complemented
13#14535371C211yesmaximal, characteristic, complemented
14#14535217C211yesmaximal, characteristic, complemented
15#14535050C211yesmaximal, characteristic, complemented
16#14535048C211yesmaximal, characteristic, complemented
17#14535023C211yesmaximal, characteristic, complemented
18#14534562C211yesmaximal, characteristic, complemented
19#14534524C211yesmaximal, characteristic, complemented
20#14534010C211yesmaximal, characteristic, complemented
21#14533748C211yesmaximal, characteristic, complemented
22#14532419C211yesmaximal, characteristic, complemented
23#14532324C211yesmaximal, characteristic, complemented
24#14532318C211yesmaximal, characteristic, complemented
25#14532250C211yesmaximal, characteristic, complemented
26#14532244C211yesmaximal, characteristic, complemented
27#14532139C211yesmaximal, characteristic, complemented
28#14531485C211yesmaximal, characteristic, complemented
29#14531412C211yesmaximal, characteristic, complemented
30C2×#11762688C211yesmaximal, characteristic, complemented
31C17×#2849C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C2×#10587626C2211yescharacteristic
34C2×#10587626C2211yescharacteristic
35C2×#10587572C2211yescharacteristic, complemented
36C2×#10587569C2211yescharacteristic, complemented
37C2×#10587581C2211yescharacteristic, complemented
38C2×#10587616C2211yescharacteristic
39C2×#10587616C2211yescharacteristic, complemented
40C2×#10587616C2211yescharacteristic, complemented
41C2×#10587570C2211yescharacteristic
42C2×#10587570C2211yescharacteristic
43C2×#10587625C2211yescharacteristic
44C2×#10587625C2211yescharacteristic
45C2×#10587625C2211yescharacteristic, complemented
46C2×#10587568C2211yescharacteristic
47C2×#10587568C2211yescharacteristic
48C2×#10587639C2211yescharacteristic
49C2×#10587639C2211yescharacteristic
50C2×#10587623C2211yescharacteristic
51C2×D4×Dic17C2211yescharacteristic
52C2×#10587567C2211yescharacteristic
53C2×#10587567C2211yescharacteristic
54C22×C22⋊Dic17C2211yescharacteristic
55C22×#63227C2211yescharacteristic
56C22×#63227C2211yescharacteristic
57#11762750C2211yescharacteristic, complemented
58#11762747C2211yescharacteristic, complemented
59#11762746C2211yescharacteristic, complemented
60#11762745C2211yescharacteristic, complemented
61#11762743C2211yescharacteristic, complemented
62#11762743C2211yescharacteristic, complemented
63#11762739C2211yescharacteristic, complemented
64#11762738C2211yescharacteristic, complemented
65#11762738C2211yescharacteristic, complemented
66#11762738C2211yescharacteristic, complemented
67#11762738C2211yescharacteristic, complemented
68#11762738C2211yescharacteristic, complemented
69#11762737C2211yescharacteristic, complemented
70#11762736C2211yescharacteristic, complemented
71#11762735C2211yescharacteristic, complemented
72#11762735C2211yescharacteristic, complemented
73#11762732C2211yescharacteristic, complemented
74#11762731C2211yescharacteristic, complemented
75#11762727C2211yescharacteristic, complemented
76#11762727C2211yescharacteristic, complemented
77#11762727C2211yescharacteristic, complemented
78#11762727C2211yescharacteristic, complemented
79#11762727C2211yescharacteristic, complemented
80#11762726C2211yescharacteristic, complemented
81#11762726C2211yescharacteristic, complemented
82#11762726C2211yescharacteristic, complemented
83#11762725C2211yescharacteristic, complemented
84#11762725C2211yescharacteristic, complemented
85#11762725C2211yescharacteristic, complemented
86#11762725C2211yescharacteristic, complemented
87#11762724C2211yescharacteristic
88#11762724C2211yescharacteristic
89#11762724C2211yescharacteristic, complemented
90#11762724C2211yescharacteristic, complemented
91#11762724C2211yescharacteristic, complemented
92#11762724C2211yescharacteristic, complemented
93#11762723C2211yescharacteristic, complemented
94#11762719C2211yescharacteristic, complemented
95#11762718C2211yescharacteristic
96#11762718C2211yescharacteristic
97#11762718C2211yescharacteristic
98#11762718C2211yescharacteristic
99#11762718C2211yescharacteristic, complemented
100#11762718C2211yescharacteristic, complemented
101#11762718C2211yescharacteristic, complemented
102#11762717C2211yescharacteristic
103#11762717C2211yescharacteristic
104#11762717C2211yescharacteristic, complemented
105#11762710C2211yescharacteristic, complemented
106#11762709C2211yescharacteristic
107#11762709C2211yescharacteristic
108#11762709C2211yescharacteristic
109#11762709C2211yescharacteristic
110#11762709C2211yescharacteristic, complemented
111#11762703C2211yescharacteristic, complemented
112#11762703C2211yescharacteristic, complemented
113#11762703C2211yescharacteristic, complemented
114#11762702C2211yescharacteristic, complemented
115#11762702C2211yescharacteristic, complemented
116#11762701C2211yescharacteristic, complemented
117#11762701C2211yescharacteristic, complemented
118#11762701C2211yescharacteristic, complemented
119#11762701C2211yescharacteristic, complemented
120#11762699C2211yescharacteristic, complemented
121#11762698C2211yescharacteristic, complemented
122#11762698C2211yescharacteristic, complemented
123#11762696C2211yescharacteristic, complemented
124#11762696C2211yescharacteristic, complemented
125#11762695C2211yescharacteristic, complemented
126#11762694C2211yescharacteristic, complemented
127#11762691C2211yescharacteristic, complemented
128#11762691C2211yescharacteristic, complemented
129#11762690C2211yescharacteristic, complemented
130#11762690C2211yescharacteristic, complemented
131#11762689C2211yescharacteristic, complemented
132#11762688C2211yescharacteristic
133#11762688C2211yescharacteristic
134#11762688C2211yescharacteristic
135#11762688C2211yescharacteristic
136#11762688C2211yescharacteristic
137#11762688C2211yescharacteristic
138#11762688C2211yescharacteristic
139#11762688C2211yescharacteristic
140#11762688C2211yescharacteristic
141#11762688C2211yescharacteristic
142#11762688C2211yescharacteristic, complemented
143#11762688C2211yescharacteristic, complemented
144#11762688C2211yescharacteristic, complemented
145#11762688C2211yescharacteristic, complemented
146#11762687C2211yescharacteristic, complemented
147#11762687C2211yescharacteristic, complemented
148#11762686C2211yescharacteristic
149#11762686C2211yescharacteristic
150#11762686C2211yescharacteristic, complemented
151#11762686C2211yescharacteristic, complemented
152#11762685C2211yescharacteristic, complemented
153#11762685C2211yescharacteristic, complemented
154#11762685C2211yescharacteristic, complemented
155#11762684C2211yescharacteristic
156#11762683C2211yescharacteristic, complemented
157#11762681C2211yescharacteristic
158#11762681C2211yescharacteristic, complemented
159#11762676C2211yescharacteristic, complemented
160#11762674C2211yescharacteristic, complemented
161#11762671C2211yescharacteristic, complemented
162#11762669C2211yescharacteristic
163#11762669C2211yescharacteristic, complemented
164#11762669C2211yescharacteristic, complemented
165#11762667C2211yescharacteristic
166#11762667C2211yescharacteristic
167#11762666C2211yescharacteristic, complemented
168#11762664C2211yescharacteristic
169C22⋊C4×Dic17C2211yescharacteristic
170C2×#10587502C2211yescharacteristic
171C2×#10587502C2211yescharacteristic
172C24×C4×C17C2211yescharacteristic
173C2×C17×#123C2211yescharacteristic, complemented
174C2×C17×#123C2211yescharacteristic, complemented
175C2×C17×#120C2211yescharacteristic
176C17×#386C2211yescharacteristic
177C17×#386C2211yescharacteristic
178C17×#386C2211yescharacteristic, complemented
179C17×#386C2211yescharacteristic, complemented
180C17×#385C2211yescharacteristic
181C17×#385C2211yescharacteristic
182C17×#385C2211yescharacteristic, complemented
183C17×#385C2211yescharacteristic, complemented
184C17×#381C2211yescharacteristic, complemented
185C17×#381C2211yescharacteristic, complemented
186C17×#379C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C23×C4×C17—42no—
193C23×C4×C17—42no—
194C23×C4×C17—42no—
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C22×C22⋊D17—24no—
202C22×C22⋊D17—42no—
203C22×C22⋊D17—42no—
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C22×C22⋊D17C2311yescharacteristic
216C22×C22⋊D17C2311yescharacteristic
217C22×C22⋊D17C2311yescharacteristic
218C23×Dic17C2311yescharacteristic
219C23×Dic17C2311yescharacteristic
220C23×Dic17C2311yescharacteristic
221C23×Dic17C2311yescharacteristic
222C22×D68C2311yescharacteristic
223C22×D68C2311yescharacteristic
224C22×D68C2311yescharacteristic
225C22×D68C2311yescharacteristic
226C22×D68C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C17×#123—42no—
230C17×#123—42no—
231C17×#120—42no—
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×C4⋊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
249#10587639—42no—
250#10587639—42no—
251C2×C22⋊Dic17—42no—
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
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
264C2×C22⋊Dic17C2311yescharacteristic
265#10587626—42no—
266#10587626—42no—
267#10587625—24no—
268#10587625—42no—
269#10587625—42no—
270#10587623—42no—
271D4×Dic17—42no—
272#10587616—42no—
273#10587616—42no—
274#10587616—42no—
275C2×#63227—42no—
276C2×#63227—42no—
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
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×C4⋊Dic17C2311yescharacteristic
310C2×C4⋊Dic17C2311yescharacteristic
311C2×C4⋊Dic17C2311yescharacteristic
312C2×C4⋊Dic17C2311yescharacteristic
313C2×C4⋊Dic17C2311yescharacteristic
314C2×C4⋊Dic17C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×C4×Dic17C2311yescharacteristic
326C2×C4×Dic17C2311yescharacteristic
327C2×C4×Dic17C2311yescharacteristic
328C2×C4×Dic17C2311yescharacteristic
329C2×C4×Dic17C2311yescharacteristic
330#10587581—42no—
331#10587572—42no—
332#10587570—42no—
333#10587570—42no—
334#10587569—42no—
335#10587568—42no—
336#10587568—42no—
337#10587567—24no—
338#10587567—42no—
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375C24×C17—22no—
376C24×C17—22no—
377C24×C17—22no—
378C24×C17—22no—
379C24×C17—22no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17C2411yescharacteristic
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C23×D17—22no—
387C23×D17—22no—
388C23×D17—22no—
389C23×D17—41no—
390C23×D17—41no—
391C23×D17—41no—
392C23×D17—41no—
393C23×D17C2411yescharacteristic
394C23×D17C2411yescharacteristic
395C23×D17C2411yescharacteristic
396C23×D17C2411yescharacteristic
397C2×D4×C17—22no—
398C2×D4×C17—22no—
399C2×D4×C17—22no—
400C2×D4×C17—22no—
401C2×D4×C17—22no—
402C2×D4×C17—41no—
403C2×D4×C17—41no—
404C2×D4×C17—41no—
405C2×D4×C17—41no—
406C22×C4×C17—22no—
407C22×C4×C17—22no—
408C22×C4×C17—22no—
409C22×C4×C17—22no—
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×C17—41no—
421C22×C4×C17—41no—
422C22×C4×C17—41no—
423C22×C4×C17—41no—
424C22×C4×C17—416no—
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
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C2×C22⋊D17—22no—
437C2×C22⋊D17—22no—
438C2×C22⋊D17—22no—
439C2×C22⋊D17—22no—
440C2×C22⋊D17—22no—
441C2×C22⋊D17—22no—
442C2×C22⋊D17—22no—
443C2×C22⋊D17—22no—
444C2×C22⋊D17—22no—
445C2×C22⋊D17—22no—
446C2×C22⋊D17—22no—
447C2×C22⋊D17—22no—
448C2×C22⋊D17—22no—
449C2×C22⋊D17—22no—
450C2×C22⋊D17—22no—
451C2×C22⋊D17—22no—
452C2×C22⋊D17—22no—
453C2×C22⋊D17—22no—
454C2×C22⋊D17—22no—
455C2×C22⋊D17—41no—
456C2×C22⋊D17—41no—
457C2×C22⋊D17—41no—
458C2×C22⋊D17—41no—
459C2×C22⋊D17—41no—
460C2×C22⋊D17—41no—
461C2×C22⋊D17—41no—
462C2×C22⋊D17—41no—
463C2×C22⋊D17—41no—
464C2×C22⋊D17—41no—
465C2×C22⋊D17—41no—
466C2×C22⋊D17—41no—
467C2×C22⋊D17—41no—
468C2×C22⋊D17—41no—
469C2×C22⋊D17—41no—
470C2×C22⋊D17—41no—
471C2×C22⋊D17—41no—
472C2×C22⋊D17—41no—
473C2×C22⋊D17—41no—
474C2×C22⋊D17—41no—
475C2×C22⋊D17—41no—
476C2×C22⋊D17—41no—
477C2×C22⋊D17—41no—
478C2×C22⋊D17—416no—
479C22×Dic17—22no—
480C22×Dic17—22no—
481C22×Dic17—41no—
482C22×Dic17—41no—
483C22×Dic17—41no—
484C22×Dic17—41no—
485C22×Dic17—41no—
486C22×Dic17—41no—
487C22×Dic17—41no—
488C22×Dic17—41no—
489C22×Dic17—41no—
490C22×Dic17#4114yes—
491C22×Dic17C2411yescharacteristic
492C22×Dic17C2411yescharacteristic
493C22×Dic17C2411yescharacteristic
494C22×Dic17C2411yescharacteristic
495C22×Dic17C2411yescharacteristic
496C22×Dic17C2411yescharacteristic
497C22×Dic17C2411yescharacteristic
498C22×Dic17C2411yescharacteristic
499C22×Dic17C2411yescharacteristic
500C22×Dic17C2411yescharacteristic
501C22×Dic17C2411yescharacteristic
502C22×Dic17C2411yescharacteristic
503C2×D68—22no—
504C2×D68—41no—
505C2×D68—41no—
506C2×D68—41no—
507C2×D68—41no—
508C2×D68—41no—
509C2×D68—41no—
510C2×D68—41no—
511C2×D68—41no—
512C2×D68—41no—
513C2×D68—41no—
514C2×D68—41no—
515C2×D68—41no—
516C2×D68—41no—
517C2×D68—41no—
518C2×C4×D17—22no—
519C2×C4×D17—41no—
520C2×C4×D17—41no—
521C2×C4×D17—41no—
522C2×C4×D17—41no—
523C2×C4×D17—41no—
524C4⋊C4×C17—22no—
525C4⋊C4×C17—41no—
526C4⋊C4×C17—41no—
527C4⋊C4×C17—41no—
528C22⋊C4×C17—22no—
529C22⋊C4×C17—22no—
530C22⋊C4×C17—22no—
531C22⋊C4×C17—22no—
532C22⋊C4×C17—22no—
533C22⋊C4×C17—22no—
534C22⋊C4×C17—41no—
535C22⋊C4×C17—41no—
536C22⋊C4×C17—41no—
537C22⋊C4×C17—41no—
538C22⋊C4×C17—41no—
539C22⋊C4×C17—41no—
540C22⋊C4×C17—41no—
541C22⋊Dic17—22no—
542C22⋊Dic17—22no—
543C22⋊Dic17—22no—
544C22⋊Dic17—22no—
545C22⋊Dic17—22no—
546C22⋊Dic17—41no—
547C22⋊Dic17—41no—
548C22⋊Dic17—41no—
549C22⋊Dic17—41no—
550C22⋊Dic17—41no—
551C22⋊Dic17—41no—
552C22⋊Dic17—41no—
553C22⋊Dic17—41no—
554#63227—22no—
555#63227—22no—
556#63227—22no—
557#63227—22no—
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#63227—41no—
578#63227—41no—
579#63227—41no—
580#63227—41no—
581#63227—41no—
582#63227—41no—
583#63227—41no—
584#63227—41no—
585#63227—41no—
586C4⋊Dic17—22no—
587C4⋊Dic17—41no—
588C4⋊Dic17—41no—
589C4⋊Dic17—41no—
590C4⋊Dic17—41no—
591C4⋊Dic17—41no—
592#63225—22no—
593#63225—22no—
594#63225—41no—
595#63225—41no—
596#63225—41no—
597#63225—41no—
598#63225—41no—
599#63225—41no—
600#63225—41no—
601#63225—41no—
602C4×Dic17—22no—
603C4×Dic17—41no—
604C4×Dic17—41no—
605C4×Dic17—41no—
606C4×Dic17—41no—
607#36794—171nomaximal, Sylow
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—28no—
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×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—21no—
631C23×C17—21no—
632C23×C17—44no—
633C23×C17—44no—
634C23×C17—44no—
635C23×C17—44no—
636C23×C17—44no—
637C23×C17—44no—
638C23×C17C2×#4112yes—
639C23×C17H(5,𝔽2)12yes—
640C23×C17H(5,𝔽2)12yes—
641C23×C17H(5,𝔽2)12yes—
642C23×C17H(5,𝔽2)12yes—
643C23×C17C2511yescharacteristic
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—21no—
669C22×D17—21no—
670C22×D17—21no—
671C22×D17—21no—
672C22×D17—44no—
673C22×D17—44no—
674C22×D17—44no—
675C22×D17—82no—
676C22×D17—82no—
677C22×D17—82no—
678C22×D17—82no—
679D4×C17—44no—
680D4×C17—82no—
681D4×C17—82no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—44no—
715C2×C4×C17—44no—
716C2×C4×C17—44no—
717C2×C4×C17—44no—
718C2×C4×C17—44no—
719C2×C4×C17—44no—
720C2×C4×C17H(5,𝔽2)12yes—
721C22⋊D17—44no—
722C22⋊D17—44no—
723C22⋊D17—44no—
724C22⋊D17—44no—
725C22⋊D17—44no—
726C22⋊D17—44no—
727C22⋊D17—82no—
728C22⋊D17—82no—
729C22⋊D17—82no—
730C22⋊D17—82no—
731C22⋊D17—82no—
732C22⋊D17—82no—
733C22⋊D17—82no—
734C22⋊D17—82no—
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—21no—
766C2×Dic17—21no—
767C2×Dic17—21no—
768C2×Dic17—21no—
769C2×Dic17—44no—
770C2×Dic17—82no—
771C2×Dic17—82no—
772C2×Dic17—82no—
773C2×Dic17C2×#4112yes—
774C2×Dic17C2×#4112yes—
775D68—82no—
776D68—82no—
777D68—82no—
778D68—82no—
779D68—82no—
780C4×D17—82no—
781C4×D17—82no—
782#2849D1711yescharacteristic, complemented
783#2847—171no—
784#2797—171no—
785#2786—171no—
786#2756—171no—
787#2753—171no—
788#2752—171no—
789#2749—171no—
790#2740—171no—
791#2709—171no—
792#2709—171no—
793#2706—171no—
794#2703—171no—
795#2699—171no—
796#2688—171no—
797#2673—171no—
798#2673—171no—
799#2671—171no—
800#2622—171no—
801#2617—171no—
802#2569—171no—
803#2543—171no—
804#2433—171no—
805#2424—171no—
806#2424—171no—
807#2418—171no—
808#2418—171no—
809#2408—171no—
810#2325—171no—
811#2318—171no—
812C2×#386—171no—
813C22×C17—22no—
814C22×C17—22no—
815C22×C17—22no—
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—416no—
826C22×C17—41no—
827C22×C17—41no—
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—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17—41no—
840C22×C17—41no—
841C22×C17#54014yes—
842C22×C17C22×#4111yescharacteristic
843C22×C17C2×H(5,𝔽2)11yescharacteristic
844C22×C17C2×H(5,𝔽2)11yescharacteristic
845C22×C17C2×H(5,𝔽2)11yescharacteristic
846C22×C17C2×H(5,𝔽2)11yescharacteristic
847C22×C17C2×H(5,𝔽2)11yescharacteristic
848C22×C17#58511yescharacteristic
849C2×D17—41no—
850C2×D17—41no—
851C2×D17—41no—
852C2×D17—41no—
853C2×D17—41no—
854C2×D17—41no—
855C2×D17—41no—
856C2×D17—41no—
857C2×D17—41no—
858C2×D17—41no—
859C2×D17—41no—
860C2×D17—41no—
861C2×D17—41no—
862C2×D17—41no—
863C2×D17—41no—
864C2×D17—41no—
865C2×D17—41no—
866C2×D17—41no—
867C2×D17—41no—
868C2×D17—41no—
869C2×D17—41no—
870C2×D17—41no—
871C2×D17—41no—
872C2×D17—41no—
873C2×D17—41no—
874C2×D17—41no—
875C2×D17—41no—
876C2×D17—41no—
877C2×D17—88no—
878C4×C17—22no—
879C4×C17—41no—
880C4×C17—41no—
881C4×C17—41no—
882C4×C17—41no—
883C4×C17—41no—
884C4×C17—41no—
885C4×C17—41no—
886C4×C17—41no—
887C4×C17—41no—
888C4×C17—41no—
889Dic17—22no—
890Dic17—22no—
891Dic17—41no—
892Dic17—41no—
893Dic17—41no—
894Dic17—41no—
895Dic17—41no—
896Dic17—41no—
897Dic17—41no—
898Dic17—41no—
899Dic17—41no—
900Dic17—41no—
901C23×D4—171no—
902C24×C4C2×D1711yescharacteristic
903C2×#127—171no—
904C2×#127—171no—
905C2×#123—171no—
906C2×#123—171no—
907C2×#123C2×D1711yescharacteristic, complemented
908C2×#123C2×D1711yescharacteristic, complemented
909C2×#121—171no—
910C2×#121—171no—
911C2×#121—171no—
912C2×#121—171no—
913C2×#121—171no—
914C2×#121—171no—
915C2×#121—171no—
916C2×#121—171no—
917C2×#121—171no—
918C2×#120—171no—
919C2×#120—171no—
920C2×#120—171no—
921C2×#120—171no—
922C2×#120—171no—
923C2×#120C2×D1711yescharacteristic
924C2×C4×D4—171no—
925C2×C4×D4—171no—
926C2×C4×D4—171no—
927C22×C22⋊C4—171no—
928C22×C22⋊C4—171no—
929C22×C22⋊C4—171no—
930#400—171no—
931#400—171no—
932#399—171no—
933#399—171no—
934#398—171no—
935#398—171no—
936#398—171no—
937#397—171no—
938#397—171no—
939#397—171no—
940#397—171no—
941#397—171no—
942#397—171no—
943#397—171no—
944#397—171no—
945#397—171no—
946#396—171no—
947#396—171no—
948#394—171no—
949#394—171no—
950#394—171no—
951#394—171no—
952#394—171no—
953#394—171no—
954#394—171no—
955#394—171no—
956#394—171no—
957#394—171no—
958#394—171no—
959#394—171no—
960#394—171no—
961#394—171no—
962#394—171no—
963#394—171no—
964#394—171no—
965#394—171no—
966#394—171no—
967#392—171no—
968#392—171no—
969#392—171no—
970#392—171no—
971#392—171no—
972#392—171no—
973#392—171no—
974#392—171no—
975#392—171no—
976#392—171no—
977#392—171no—
978#390—171no—
979#390—171no—
980#390—171no—
981#390—171no—
982#390—171no—
983#390—171no—
984#388—171no—
985#388—171no—
986#388—171no—
987#388—171no—
988#388—171no—
989#388—171no—
990#388—171no—
991#388—171no—
992#388—171no—
993#388—171no—
994#388—171no—
995#388—171no—
996#387—171no—
997#387—171no—
998#387—171no—
999#387—171no—
1000#387—171no—
1001#387—171no—
1002#387—171no—
1003#387—171no—
1004#386—171no—
1005#386—171no—
1006#386—171no—
1007#386—171no—
1008#386—171no—
1009#386—171no—
1010#386—171no—
1011#386—171no—
1012#386—171no—
1013#386—171no—
1014#386—171no—
1015#386—171no—
1016#386—171no—
1017#386—171no—
1018#386—171no—
1019#386—171no—
1020#386—171no—
1021#386—171no—
1022#386—171no—
1023#386—171no—
1024#386—171no—
1025#386—171no—
1026#386—171no—
1027#386—171no—
1028#386C2×D1711yescharacteristic
1029#386C2×D1711yescharacteristic
1030#386C2×D1711yescharacteristic, complemented
1031#386C2×D1711yescharacteristic, complemented
1032#385—171no—
1033#385—171no—
1034#385—171no—
1035#385—171no—
1036#385C2×D1711yescharacteristic
1037#385C2×D1711yescharacteristic
1038#385C2×D1711yescharacteristic, complemented
1039#385C2×D1711yescharacteristic, complemented
1040#383—171no—
1041#382—171no—
1042#381—171no—
1043#381C2×D1711yescharacteristic, complemented
1044#381C2×D1711yescharacteristic, complemented
1045#380—171no—
1046#380—171no—
1047#380—171no—
1048#380—171no—
1049#380—171no—
1050#380—171no—
1051#379—171no—
1052#379C2×D1711yescharacteristic
1053C4×C22⋊C4—171no—
1054C2×#95—171no—
1055C2×#95—171no—
1056C2×C17—24no—
1057C2×C17—42no—
1058C2×C17—42no—
1059C2×C17—81no—
1060C2×C17C2×#54011yescharacteristic
1061C2×C17#349011yescharacteristic
1062C2×C17#350611yescharacteristic
1063C2×C17#353211yescharacteristic
1064C2×C17#353411yescharacteristic
1065C2×C17#353411yescharacteristic
1066C2×C17#353711yescharacteristic
1067D17—81no—
1068D17—81no—
1069D17—81no—
1070D17—81no—
1071C25—171no—
1072C25C22×D1711yescharacteristic
1073C22×D4—171no—
1074C22×D4—171no—
1075C22×D4—171no—
1076C22×D4—171no—
1077C22×D4—171no—
1078C22×D4—171no—
1079C22×D4—171no—
1080C22×D4—171no—
1081C22×D4—171no—
1082C22×D4—171no—
1083C22×D4—171no—
1084C22×D4—171no—
1085C22×D4—171no—
1086C22×D4—171no—
1087C22×D4—171no—
1088C22×D4—171no—
1089C22×D4—171no—
1090C22×D4—171no—
1091C22×D4—171no—
1092C22×D4—344no—
1093C22×D4—682no—
1094C22×D4—682no—
1095C22×D4C22×D1711yescharacteristic
1096C22×D4C22×D1711yescharacteristic
1097C22×D4C22×D1711yescharacteristic
1098C23×C4—42no—
1099C23×C4—42no—
1100C23×C4—42no—
1101C23×C4—171no—
1102C23×C4—171no—
1103C23×C4—171no—
1104C23×C4—171no—
1105C23×C4—171no—
1106C23×C4—171no—
1107C23×C4C22×D1711yescharacteristic
1108C23×C4C22×D1711yescharacteristic
1109C23×C4C22×D1711yescharacteristic
1110C23×C4C22×D1711yescharacteristic
1111C23×C4C22×D1711yescharacteristic
1112C23×C4C22×D1711yescharacteristic
1113#127—682no—
1114#127—682no—
1115#123—42no—
1116#123—42no—
1117#123—682no—
1118#123—682no—
1119#121—344no—
1120#121—682no—
1121#121—682no—
1122#121—682no—
1123#121—682no—
1124#121—682no—
1125#121—682no—
1126#121—682no—
1127#121—682no—
1128#120—42no—
1129#120—682no—
1130#120—682no—
1131#120—682no—
1132#120—682no—
1133#120—682no—
1134C4×D4—344no—
1135C4×D4—682no—
1136C4×D4—682no—
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⋊C4—171no—
1150C2×C4⋊C4—171no—
1151C2×C4⋊C4—171no—
1152C2×C4⋊C4—171no—
1153C2×C4⋊C4C22×D1711yescharacteristic
1154C2×C4⋊C4C22×D1711yescharacteristic
1155C2×C4⋊C4C22×D1711yescharacteristic
1156C2×C4⋊C4C22×D1711yescharacteristic
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—171no—
1197C2×C22⋊C4—171no—
1198C2×C22⋊C4—171no—
1199C2×C22⋊C4—171no—
1200C2×C22⋊C4—171no—
1201C2×C22⋊C4—171no—
1202C2×C22⋊C4—682no—
1203C2×C22⋊C4—682no—
1204C2×C22⋊C4—682no—
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×C22⋊C4C22×D1711yescharacteristic
1216C2×C22⋊C4C22×D1711yescharacteristic
1217C2×C22⋊C4C22×D1711yescharacteristic
1218C2×C42—171no—
1219C2×C42—171no—
1220C2×C42—171no—
1221C2×C42—171no—
1222C2×C42—171no—
1223#95—171no—
1224#95—171no—
1225#95—171no—
1226#95—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95—171no—
1239#95—171no—
1240#95—171no—
1241#95—171no—
1242#95—171no—
1243#95—171no—
1244#95—171no—
1245#95—171no—
1246#95—171no—
1247#95—171no—
1248#95—171no—
1249#95—171no—
1250#95—171no—
1251#95C22×D1711yescharacteristic
1252#95C22×D1711yescharacteristic
1253#95C22×D1711yescharacteristic
1254#95C22×D1711yescharacteristic
1255#95C22×D1711yescharacteristic
1256#95C22×D1711yescharacteristic
1257#95C22×D1711yescharacteristic
1258#95C22×D1711yescharacteristic
1259C17#3679411yescharacteristic, complemented, Sylow
1260C24—22no—
1261C24—22no—
1262C24—22no—
1263C24—22no—
1264C24—22no—
1265C24—41no—
1266C24—41no—
1267C24—171no—
1268C24—171no—
1269C24—171no—
1270C24—171no—
1271C24—342no—
1272C24—342no—
1273C24—342no—
1274C24—681no—
1275C24—681no—
1276C24—681no—
1277C24—681no—
1278C24C23×D1711yescharacteristic
1279C24C23×D1711yescharacteristic
1280C24C23×D1711yescharacteristic
1281C24C23×D1711yescharacteristic
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—342no—
1292C2×D4—342no—
1293C2×D4—342no—
1294C2×D4—342no—
1295C2×D4—342no—
1296C2×D4—342no—
1297C2×D4—342no—
1298C2×D4—342no—
1299C2×D4—342no—
1300C2×D4—342no—
1301C2×D4—342no—
1302C2×D4—342no—
1303C2×D4—342no—
1304C2×D4—342no—
1305C2×D4—342no—
1306C2×D4—342no—
1307C2×D4—342no—
1308C2×D4—342no—
1309C2×D4—342no—
1310C2×D4—342no—
1311C2×D4—681no—
1312C2×D4—681no—
1313C2×D4—681no—
1314C2×D4—681no—
1315C2×D4—681no—
1316C2×D4—681no—
1317C2×D4—681no—
1318C2×D4—681no—
1319C2×D4—681no—
1320C2×D4—681no—
1321C2×D4—681no—
1322C2×D4—681no—
1323C2×D4—681no—
1324C2×D4—681no—
1325C2×D4—681no—
1326C2×D4—681no—
1327C2×D4—681no—
1328C2×D4—681no—
1329C2×D4—681no—
1330C2×D4—681no—
1331C2×D4—681no—
1332C2×D4—681no—
1333C2×D4—681no—
1334C2×D4—681no—
1335C2×D4—681no—
1336C2×D4—681no—
1337C2×D4—681no—
1338C2×D4—681no—
1339C2×D4—681no—
1340C2×D4—681no—
1341C2×D4—681no—
1342C2×D4—681no—
1343C2×D4—681no—
1344C2×D4—681no—
1345C2×D4—681no—
1346C2×D4—681no—
1347C2×D4—681no—
1348C2×D4—6816no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—416no—
1368C22×C4—171no—
1369C22×C4—171no—
1370C22×C4—174no—
1371C22×C4—171no—
1372C22×C4—171no—
1373C22×C4—171no—
1374C22×C4—171no—
1375C22×C4—171no—
1376C22×C4—171no—
1377C22×C4—171no—
1378C22×C4—171no—
1379C22×C4—171no—
1380C22×C4—171no—
1381C22×C4—342no—
1382C22×C4—342no—
1383C22×C4—342no—
1384C22×C4—681no—
1385C22×C4—681no—
1386C22×C4—681no—
1387C22×C4—681no—
1388C22×C4—681no—
1389C22×C4—681no—
1390C22×C4—681no—
1391C22×C4—681no—
1392C22×C4—681no—
1393C22×C4—681no—
1394C22×C4—681no—
1395C22×C4—681no—
1396C22×C4—681no—
1397C22×C4—681no—
1398C22×C4C23×D1711yescharacteristic
1399C22×C4C23×D1711yescharacteristic
1400C22×C4C23×D1711yescharacteristic
1401C22×C4C23×D1711yescharacteristic
1402C22×C4C23×D1711yescharacteristic
1403C22×C4C23×D1711yescharacteristic
1404C22×C4C23×D1711yescharacteristic
1405C22×C4C23×D1711yescharacteristic
1406C22×C4C23×D1711yescharacteristic
1407C22×C4C23×D1711yescharacteristic
1408C22×C4C23×D1711yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—342no—
1414C4⋊C4—342no—
1415C4⋊C4—342no—
1416C4⋊C4—681no—
1417C4⋊C4—681no—
1418C4⋊C4—681no—
1419C4⋊C4—681no—
1420C4⋊C4—681no—
1421C4⋊C4—681no—
1422C4⋊C4—681no—
1423C4⋊C4—681no—
1424C4⋊C4—681no—
1425C4⋊C4—681no—
1426C4⋊C4—681no—
1427C4⋊C4—681no—
1428C4⋊C4—681no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—342no—
1443C22⋊C4—342no—
1444C22⋊C4—342no—
1445C22⋊C4—342no—
1446C22⋊C4—342no—
1447C22⋊C4—342no—
1448C22⋊C4—342no—
1449C22⋊C4—342no—
1450C22⋊C4—342no—
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⋊C4—681no—
1476C22⋊C4—681no—
1477C22⋊C4—681no—
1478C22⋊C4—681no—
1479C22⋊C4—681no—
1480C22⋊C4—681no—
1481C22⋊C4—681no—
1482C22⋊C4—681no—
1483C22⋊C4—681no—
1484C22⋊C4—681no—
1485C22⋊C4—681no—
1486C22⋊C4—681no—
1487C42—342no—
1488C42—681no—
1489C42—681no—
1490C42—681no—
1491C42—681no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—28no—
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—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23—341no—
1523C23—341no—
1524C23—341no—
1525C23—341no—
1526C23—341no—
1527C23—341no—
1528C23—341no—
1529C23—341no—
1530C23—341no—
1531C23—341no—
1532C23—341no—
1533C23—341no—
1534C23—341no—
1535C23—341no—
1536C23—341no—
1537C23—341no—
1538C23—341no—
1539C23—341no—
1540C23—341no—
1541C23—341no—
1542C23—341no—
1543C23—341no—
1544C23—341no—
1545C23—341no—
1546C23—341no—
1547C23—341no—
1548C23—341no—
1549C23—341no—
1550C23—684no—
1551C23—684no—
1552C23—684no—
1553C23—1362no—
1554C23—1362no—
1555C23—1362no—
1556C23—1362no—
1557C23#1058769112yes—
1558C23#1058769112yes—
1559C23#41×D1712yes—
1560C23#1058769612yes—
1561C23#1058769612yes—
1562C23C24×D1711yescharacteristic
1563D4—44no—
1564D4—82no—
1565D4—82no—
1566D4—684no—
1567D4—684no—
1568D4—684no—
1569D4—684no—
1570D4—684no—
1571D4—684no—
1572D4—1362no—
1573D4—1362no—
1574D4—1362no—
1575D4—1362no—
1576D4—1362no—
1577D4—1362no—
1578D4—1362no—
1579D4—1362no—
1580D4—1362no—
1581D4—1362no—
1582D4—1362no—
1583D4—1362no—
1584D4—1362no—
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—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—172no—
1624C2×C4—172no—
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—341no—
1651C2×C4—341no—
1652C2×C4—341no—
1653C2×C4—341no—
1654C2×C4—341no—
1655C2×C4—341no—
1656C2×C4—341no—
1657C2×C4—341no—
1658C2×C4—341no—
1659C2×C4—684no—
1660C2×C4—1362no—
1661C2×C4—1362no—
1662C2×C4—1362no—
1663C2×C4—1362no—
1664C2×C4—1362no—
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—416no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—681no—
1695C22—681no—
1696C22—681no—
1697C22—681no—
1698C22—681no—
1699C22—681no—
1700C22—681no—
1701C22—681no—
1702C22—681no—
1703C22—681no—
1704C22—681no—
1705C22—681no—
1706C22—681no—
1707C22—681no—
1708C22—681no—
1709C22—681no—
1710C22—681no—
1711C22—681no—
1712C22—681no—
1713C22—681no—
1714C22—681no—
1715C22—681no—
1716C22—681no—
1717C22—681no—
1718C22—681no—
1719C22—681no—
1720C22—681no—
1721C22—681no—
1722C22—1368no—
1723C22#1176341114yes—
1724C22C2×#41×D1711yescharacteristic
1725C22C2×#1058769111yescharacteristic
1726C22C2×#1058769111yescharacteristic
1727C22C2×#1058769111yescharacteristic
1728C22C2×#1058769611yescharacteristic
1729C22C2×#1058769611yescharacteristic
1730C22#1176364511yescharacteristic
1731C4—22no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—342no—
1743C4—342no—
1744C4—681no—
1745C4—681no—
1746C4—681no—
1747C4—681no—
1748C4—681no—
1749C4—681no—
1750C4—681no—
1751C4—681no—
1752C4—681no—
1753C4—681no—
1754C2—24no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—1361no—
1759C2—1361no—
1760C2—1361no—
1761C2—1361no—
1762C2C2×#1176341111yescharacteristic
1763C2#1454246711yescharacteristic
1764C2#1454262711yescharacteristic
1765C2#1454293911yescharacteristic
1766C2#1454296811yescharacteristic
1767C2#1454297811yescharacteristic
1768C2#1454302311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2849C2
hypercenter#2849D17
hypocenterC17#36794
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. #14537066C2semidirect
2. #14536645C2semidirect
3. #14536504C2semidirect
4. #14536109C2semidirect
5. #14536062C2semidirect
6. #14536048C2semidirect
7. #14536003C2semidirect
8. #14535884C2semidirect
9. #14535513C2semidirect
10. #14535512C2semidirect
11. #14535468C2semidirect
12. #14535421C2semidirect
13. #14535371C2semidirect
14. #14535217C2semidirect
15. #14535050C2semidirect
16. #14535048C2semidirect
17. #14535023C2semidirect
18. #14534562C2semidirect
19. #14534524C2semidirect
20. #14534010C2semidirect
21. #14533748C2semidirect
22. #14532419C2semidirect
23. #14532324C2semidirect
24. #14532318C2semidirect
25. #14532250C2semidirect
26. #14532244C2semidirect
27. #14532139C2semidirect
28. #14531485C2semidirect
29. #14531412C2semidirect
30. C2×#11762688C2semidirect
31. C17×#2849C2semidirect
35. C2×#10587572C22semidirect
36. C2×#10587569C22semidirect
37. C2×#10587581C22semidirect
39. C2×#10587616C22semidirect
40. C2×#10587616C22semidirect
45. C2×#10587625C22semidirect
57. #11762750C22semidirect
58. #11762747C22semidirect
59. #11762746C22semidirect
60. #11762745C22semidirect
61. #11762743C22semidirect
62. #11762743C22semidirect
63. #11762739C22semidirect
64. #11762738C22semidirect
65. #11762738C22semidirect
66. #11762738C22semidirect
67. #11762738C22semidirect
68. #11762738C22semidirect
69. #11762737C22semidirect
70. #11762736C22semidirect
71. #11762735C22semidirect
72. #11762735C22semidirect
73. #11762732C22semidirect
74. #11762731C22semidirect
75. #11762727C22semidirect
76. #11762727C22semidirect
77. #11762727C22semidirect
78. #11762727C22semidirect
79. #11762727C22semidirect
80. #11762726C22semidirect
81. #11762726C22semidirect
82. #11762726C22semidirect
83. #11762725C22semidirect
84. #11762725C22semidirect
85. #11762725C22semidirect
86. #11762725C22semidirect
89. #11762724C22semidirect
90. #11762724C22semidirect
91. #11762724C22semidirect
92. #11762724C22semidirect
93. #11762723C22semidirect
94. #11762719C22semidirect
99. #11762718C22semidirect
100. #11762718C22semidirect
101. #11762718C22semidirect
104. #11762717C22semidirect
105. #11762710C22semidirect
110. #11762709C22semidirect
111. #11762703C22semidirect
112. #11762703C22semidirect
113. #11762703C22semidirect
114. #11762702C22semidirect
115. #11762702C22semidirect
116. #11762701C22semidirect
117. #11762701C22semidirect
118. #11762701C22semidirect
119. #11762701C22semidirect
120. #11762699C22semidirect
121. #11762698C22semidirect
122. #11762698C22semidirect
123. #11762696C22semidirect
124. #11762696C22semidirect
125. #11762695C22semidirect
126. #11762694C22semidirect
127. #11762691C22semidirect
128. #11762691C22semidirect
129. #11762690C22semidirect
130. #11762690C22semidirect
131. #11762689C22semidirect
142. #11762688C22semidirect
143. #11762688C22semidirect
144. #11762688C22semidirect
145. #11762688C22semidirect
146. #11762687C22semidirect
147. #11762687C22semidirect
150. #11762686C22semidirect
151. #11762686C22semidirect
152. #11762685C22semidirect
153. #11762685C22semidirect
154. #11762685C22semidirect
156. #11762683C22semidirect
158. #11762681C22semidirect
159. #11762676C22semidirect
160. #11762674C22semidirect
161. #11762671C22semidirect
163. #11762669C22semidirect
164. #11762669C22semidirect
167. #11762666C22semidirect
173. C2×C17×#123C22semidirect
174. C2×C17×#123C22semidirect
178. C17×#386C22semidirect
179. C17×#386C22semidirect
182. C17×#385C22semidirect
183. C17×#385C22semidirect
184. C17×#381C22semidirect
185. C17×#381C22semidirect
782. #2849D17semidirect
907. C2×#123C2×D17semidirect
908. C2×#123C2×D17semidirect
1030. #386C2×D17semidirect
1031. #386C2×D17semidirect
1038. #385C2×D17semidirect
1039. #385C2×D17semidirect
1043. #381C2×D17semidirect
1044. #381C2×D17semidirect
1259. C17#36794semidirect

Maximal subgroups

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

subgroupindex
#145370662
#145366452
#145365042
#145361092
#145360622
#145360482
#145360032
#145358842
#145355132
#145355122
#145354682
#145354212
#145353712
#145352172
#145350502
#145350482
#145350232
#145345622
#145345242
#145340102
#145337482
#145324192
#145323242
#145323182
#145322502
#145322442
#145321392
#145314852
#145314122
C2×#117626882
C17×#28492
#3679417