Finite Group Databasebeta

← #17241426

Subgroups — #17241426

Order 4352.

3282 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537061C211yesmaximal, characteristic, complemented
2#14535830C211yesmaximal, characteristic, complemented
3#14535825C211yesmaximal, characteristic, complemented
4#14535821C211yesmaximal, characteristic, complemented
5#14535821C211yesmaximal, characteristic, complemented
6#14535347C211yesmaximal, characteristic, complemented
7#14535345C211yesmaximal, characteristic, complemented
8#14535179C211yesmaximal, characteristic, complemented
9#14535175C211yesmaximal, characteristic, complemented
10#14535171C211yesmaximal, characteristic, complemented
11#14535171C211yesmaximal, characteristic, complemented
12#14535164C211yesmaximal, characteristic, complemented
13#14535162C211yesmaximal, characteristic, complemented
14#14535109C211yesmaximal, characteristic, complemented
15#14535105C211yesmaximal, characteristic, complemented
16#14535006C211yesmaximal, characteristic, complemented
17#14534988C211yesmaximal, characteristic, complemented
18#14534593C211yesmaximal, characteristic, complemented
19#14534522C211yesmaximal, characteristic, complemented
20#14533029C211yesmaximal, characteristic, complemented
21#14533027C211yesmaximal, characteristic, complemented
22#14532909C211yesmaximal, characteristic, complemented
23#14532907C211yesmaximal, characteristic, complemented
24#14532324C211yesmaximal, characteristic, complemented
25#14532316C211yesmaximal, characteristic, complemented
26#14532250C211yesmaximal, characteristic, complemented
27#14532242C211yesmaximal, characteristic, complemented
28#14531445C211yesmaximal, characteristic, complemented
29#14531439C211yesmaximal, characteristic, complemented
30C2×#11762665C211yesmaximal, characteristic, complemented
31C17×#2846C211yesmaximal, characteristic, complemented
32C2×#10587565C2211yescharacteristic, complemented
33C2×#10587565C2211yescharacteristic, complemented
34C2×#10587622C2211yescharacteristic, complemented
35C2×#10587571C2211yescharacteristic, complemented
36C2×#10587569C2211yescharacteristic, complemented
37C2×#10587621C2211yescharacteristic, complemented
38C2×#10587564C2211yescharacteristic, complemented
39C2×#10587625C2211yescharacteristic, complemented
40C2×#10587625C2211yescharacteristic, complemented
41C2×#10587624C2211yescharacteristic, complemented
42C2×#10587639C2211yescharacteristic
43C2×#10587639C2211yescharacteristic
44C2×#10587639C2211yescharacteristic
45C2×#10587639C2211yescharacteristic
46C2×#10587639C2211yescharacteristic
47C2×#10587639C2211yescharacteristic
48C2×#10587639C2211yescharacteristic
49C2×D4×Dic17C2211yescharacteristic, complemented
50C2×#10587567C2211yescharacteristic, complemented
51C22×C22⋊Dic17C2211yescharacteristic
52C22×C22⋊Dic17C2211yescharacteristic
53C22×C22⋊Dic17C2211yescharacteristic
54C22×C22⋊Dic17C2211yescharacteristic
55C22×C22⋊Dic17C2211yescharacteristic
56C22×C22⋊Dic17C2211yescharacteristic
57#11762745C2211yescharacteristic, complemented
58#11762745C2211yescharacteristic, complemented
59#11762745C2211yescharacteristic, complemented
60#11762745C2211yescharacteristic, complemented
61#11762737C2211yescharacteristic, complemented
62#11762737C2211yescharacteristic, complemented
63#11762737C2211yescharacteristic, complemented
64#11762737C2211yescharacteristic, complemented
65#11762737C2211yescharacteristic, complemented
66#11762737C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic, complemented
68#11762737C2211yescharacteristic, complemented
69#11762734C2211yescharacteristic, complemented
70#11762734C2211yescharacteristic, complemented
71#11762734C2211yescharacteristic, complemented
72#11762734C2211yescharacteristic, complemented
73#11762732C2211yescharacteristic, complemented
74#11762732C2211yescharacteristic, complemented
75#11762732C2211yescharacteristic, complemented
76#11762732C2211yescharacteristic, complemented
77#11762732C2211yescharacteristic, complemented
78#11762732C2211yescharacteristic, complemented
79#11762732C2211yescharacteristic, complemented
80#11762732C2211yescharacteristic, complemented
81#11762725C2211yescharacteristic, complemented
82#11762725C2211yescharacteristic, complemented
83#11762725C2211yescharacteristic, complemented
84#11762725C2211yescharacteristic, complemented
85#11762724C2211yescharacteristic, complemented
86#11762724C2211yescharacteristic, complemented
87#11762724C2211yescharacteristic, complemented
88#11762724C2211yescharacteristic, complemented
89#11762723C2211yescharacteristic, complemented
90#11762723C2211yescharacteristic, complemented
91#11762723C2211yescharacteristic, complemented
92#11762723C2211yescharacteristic, complemented
93#11762723C2211yescharacteristic, complemented
94#11762723C2211yescharacteristic, complemented
95#11762723C2211yescharacteristic, complemented
96#11762723C2211yescharacteristic, complemented
97#11762721C2211yescharacteristic, complemented
98#11762721C2211yescharacteristic, complemented
99#11762721C2211yescharacteristic, complemented
100#11762721C2211yescharacteristic, complemented
101#11762717C2211yescharacteristic, complemented
102#11762717C2211yescharacteristic, complemented
103#11762717C2211yescharacteristic, complemented
104#11762717C2211yescharacteristic, complemented
105#11762712C2211yescharacteristic, complemented
106#11762712C2211yescharacteristic, complemented
107#11762712C2211yescharacteristic, complemented
108#11762712C2211yescharacteristic, complemented
109#11762709C2211yescharacteristic, complemented
110#11762709C2211yescharacteristic, complemented
111#11762709C2211yescharacteristic, complemented
112#11762709C2211yescharacteristic, complemented
113#11762703C2211yescharacteristic, complemented
114#11762703C2211yescharacteristic, complemented
115#11762703C2211yescharacteristic, complemented
116#11762703C2211yescharacteristic, complemented
117#11762703C2211yescharacteristic, complemented
118#11762703C2211yescharacteristic, complemented
119#11762703C2211yescharacteristic, complemented
120#11762703C2211yescharacteristic, complemented
121#11762702C2211yescharacteristic, complemented
122#11762702C2211yescharacteristic, complemented
123#11762702C2211yescharacteristic, complemented
124#11762702C2211yescharacteristic, complemented
125#11762702C2211yescharacteristic, complemented
126#11762702C2211yescharacteristic, complemented
127#11762702C2211yescharacteristic, complemented
128#11762702C2211yescharacteristic, complemented
129#11762697C2211yescharacteristic, complemented
130#11762697C2211yescharacteristic, complemented
131#11762697C2211yescharacteristic, complemented
132#11762697C2211yescharacteristic, complemented
133#11762697C2211yescharacteristic, complemented
134#11762697C2211yescharacteristic, complemented
135#11762697C2211yescharacteristic, complemented
136#11762697C2211yescharacteristic, complemented
137#11762689C2211yescharacteristic, complemented
138#11762689C2211yescharacteristic, complemented
139#11762689C2211yescharacteristic, complemented
140#11762689C2211yescharacteristic, complemented
141#11762689C2211yescharacteristic, complemented
142#11762689C2211yescharacteristic, complemented
143#11762686C2211yescharacteristic, complemented
144#11762686C2211yescharacteristic, complemented
145#11762685C2211yescharacteristic, complemented
146#11762685C2211yescharacteristic, complemented
147#11762685C2211yescharacteristic, complemented
148#11762685C2211yescharacteristic, complemented
149#11762684C2211yescharacteristic, complemented
150#11762684C2211yescharacteristic, complemented
151#11762681C2211yescharacteristic, complemented
152#11762681C2211yescharacteristic, complemented
153#11762667C2211yescharacteristic, complemented
154#11762667C2211yescharacteristic, complemented
155#11762665C2211yescharacteristic
156#11762665C2211yescharacteristic
157#11762665C2211yescharacteristic
158#11762665C2211yescharacteristic
159#11762665C2211yescharacteristic
160#11762665C2211yescharacteristic
161#11762665C2211yescharacteristic
162#11762665C2211yescharacteristic
163#11762665C2211yescharacteristic
164#11762665C2211yescharacteristic
165#11762665C2211yescharacteristic
166#11762665C2211yescharacteristic
167#11762665C2211yescharacteristic
168#11762665C2211yescharacteristic
169#11762665C2211yescharacteristic
170C22⋊C4×Dic17C2211yescharacteristic, complemented
171C22⋊C4×Dic17C2211yescharacteristic, complemented
172C26×C17C2211yescharacteristic
173C2×C17×#120C2211yescharacteristic
174C2×C17×#120C2211yescharacteristic
175C2×C17×#120C2211yescharacteristic
176C2×C17×#120C2211yescharacteristic
177C2×C17×#120C2211yescharacteristic
178C2×C17×#120C2211yescharacteristic
179C2×C17×#120C2211yescharacteristic
180C17×#379C2211yescharacteristic
181C17×#379C2211yescharacteristic
182C17×#379C2211yescharacteristic
183C17×#379C2211yescharacteristic
184C17×#379C2211yescharacteristic
185C17×#379C2211yescharacteristic
186C17×#379C2211yescharacteristic
187C25×C17—24no—
188C25×C17—42no—
189C25×C17—42no—
190C25×C17—42no—
191C25×C17—42no—
192C25×C17—42no—
193C25×C17—42no—
194C25×C17C2311yescharacteristic
195C25×C17C2311yescharacteristic
196C25×C17C2311yescharacteristic
197C25×C17C2311yescharacteristic
198C25×C17C2311yescharacteristic
199C25×C17C2311yescharacteristic
200C25×C17C2311yescharacteristic
201C22×D4×C17C2311yescharacteristic
202C22×D4×C17C2311yescharacteristic
203C22×D4×C17C2311yescharacteristic
204C22×D4×C17C2311yescharacteristic
205C22×D4×C17C2311yescharacteristic
206C22×D4×C17C2311yescharacteristic
207C22×D4×C17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C22×C22⋊D17C2311yescharacteristic, complemented
216C23×Dic17C2311yescharacteristic
217C23×Dic17C2311yescharacteristic
218C23×Dic17C2311yescharacteristic
219C23×Dic17C2311yescharacteristic
220C23×Dic17C2311yescharacteristic, complemented
221C22×C4×D17C2311yescharacteristic, complemented
222C22×Dic34C2311yescharacteristic, complemented
223C17×#120—24no—
224C17×#120—42no—
225C17×#120—42no—
226C17×#120—42no—
227C17×#120—42no—
228C17×#120—42no—
229C17×#120—42no—
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊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
251#10587639—24no—
252#10587639—42no—
253#10587639—42no—
254#10587639—42no—
255#10587639—42no—
256#10587639—42no—
257#10587639—42no—
258C2×C22⋊Dic17—42no—
259C2×C22⋊Dic17—42no—
260C2×C22⋊Dic17—42no—
261C2×C22⋊Dic17—42no—
262C2×C22⋊Dic17—42no—
263C2×C22⋊Dic17—42no—
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277C2×C22⋊Dic17C2311yescharacteristic
278C2×C22⋊Dic17C2311yescharacteristic
279C2×C22⋊Dic17C2311yescharacteristic
280C2×C22⋊Dic17C2311yescharacteristic
281C2×C22⋊Dic17C2311yescharacteristic
282C2×C22⋊Dic17C2311yescharacteristic
283C2×C22⋊Dic17C2311yescharacteristic
284C2×C22⋊Dic17C2311yescharacteristic
285C2×C22⋊Dic17C2311yescharacteristic
286C2×C22⋊Dic17C2311yescharacteristic
287C2×C22⋊Dic17C2311yescharacteristic
288C2×C22⋊Dic17C2311yescharacteristic
289C2×C22⋊Dic17C2311yescharacteristic
290C2×C22⋊Dic17C2311yescharacteristic
291C2×C22⋊Dic17C2311yescharacteristic
292C2×C22⋊Dic17C2311yescharacteristic
293C2×C22⋊Dic17C2311yescharacteristic
294C2×C22⋊Dic17C2311yescharacteristic
295C2×C22⋊Dic17C2311yescharacteristic
296C2×C22⋊Dic17C2311yescharacteristic
297C2×C22⋊Dic17C2311yescharacteristic
298C2×C22⋊Dic17C2311yescharacteristic
299C2×C22⋊Dic17C2311yescharacteristic
300C2×C22⋊Dic17C2311yescharacteristic
301C2×C22⋊Dic17C2311yescharacteristic
302C2×C22⋊Dic17C2311yescharacteristic
303C2×C22⋊Dic17C2311yescharacteristic
304C2×C22⋊Dic17C2311yescharacteristic
305C2×C22⋊Dic17C2311yescharacteristic
306C2×C22⋊Dic17C2311yescharacteristic
307C2×C22⋊Dic17C2311yescharacteristic
308C2×C22⋊Dic17C2311yescharacteristic
309C2×C22⋊Dic17C2311yescharacteristic, complemented
310C2×C22⋊Dic17C2311yescharacteristic, complemented
311C2×C22⋊Dic17C2311yescharacteristic, complemented
312C2×C22⋊Dic17C2311yescharacteristic, complemented
313C2×C22⋊Dic17C2311yescharacteristic, complemented
314C2×C22⋊Dic17C2311yescharacteristic, complemented
315#10587625—42no—
316#10587625—42no—
317#10587624—42no—
318#10587622—42no—
319#10587621—42no—
320D4×Dic17—42no—
321C2×#63227C2311yescharacteristic, complemented
322C2×#63227C2311yescharacteristic, complemented
323C2×#63227C2311yescharacteristic, complemented
324C2×#63227C2311yescharacteristic, complemented
325C2×#63227C2311yescharacteristic, complemented
326C2×#63227C2311yescharacteristic, complemented
327C2×C4⋊Dic17C2311yescharacteristic, complemented
328C2×C4⋊Dic17C2311yescharacteristic, complemented
329C2×C4⋊Dic17C2311yescharacteristic, complemented
330C2×C4⋊Dic17C2311yescharacteristic, complemented
331C2×C4⋊Dic17C2311yescharacteristic, complemented
332C2×C4⋊Dic17C2311yescharacteristic, complemented
333C2×#63225C2311yescharacteristic, complemented
334C2×#63225C2311yescharacteristic, complemented
335C2×#63225C2311yescharacteristic, complemented
336C2×#63225C2311yescharacteristic, complemented
337C2×#63225C2311yescharacteristic, complemented
338C2×#63225C2311yescharacteristic, complemented
339C2×#63225C2311yescharacteristic, complemented
340C2×#63225C2311yescharacteristic, complemented
341C2×#63225C2311yescharacteristic, complemented
342C2×#63225C2311yescharacteristic, complemented
343C2×#63225C2311yescharacteristic, complemented
344C2×#63225C2311yescharacteristic, complemented
345C2×C4×Dic17C2311yescharacteristic, complemented
346C2×C4×Dic17C2311yescharacteristic, complemented
347C2×C4×Dic17C2311yescharacteristic, complemented
348C2×C4×Dic17C2311yescharacteristic, complemented
349C2×C4×Dic17C2311yescharacteristic, complemented
350C2×C4×Dic17C2311yescharacteristic, complemented
351#10587571—42no—
352#10587569—42no—
353#10587567—42no—
354#10587565—42no—
355#10587565—42no—
356#10587564—42no—
357#10587502C2311yescharacteristic, complemented
358#10587502C2311yescharacteristic, complemented
359#10587502C2311yescharacteristic, complemented
360#10587502C2311yescharacteristic, complemented
361#10587502C2311yescharacteristic, complemented
362#10587502C2311yescharacteristic, complemented
363#10587502C2311yescharacteristic, complemented
364#10587502C2311yescharacteristic, complemented
365#10587502C2311yescharacteristic, complemented
366#10587502C2311yescharacteristic, complemented
367#10587502C2311yescharacteristic, complemented
368#10587502C2311yescharacteristic, complemented
369#10587502C2311yescharacteristic, complemented
370#10587502C2311yescharacteristic, complemented
371#10587502C2311yescharacteristic, complemented
372#10587502C2311yescharacteristic, complemented
373#10587502C2311yescharacteristic, complemented
374#10587502C2311yescharacteristic, complemented
375#10587502C2311yescharacteristic, complemented
376#10587502C2311yescharacteristic, complemented
377#10587502C2311yescharacteristic, complemented
378#10587502C2311yescharacteristic, complemented
379#10587502C2311yescharacteristic, complemented
380#10587502C2311yescharacteristic, complemented
381C24×C17—22no—
382C24×C17—22no—
383C24×C17—22no—
384C24×C17—22no—
385C24×C17—22no—
386C24×C17—22no—
387C24×C17—22no—
388C24×C17—22no—
389C24×C17—22no—
390C24×C17—22no—
391C24×C17—22no—
392C24×C17—22no—
393C24×C17—22no—
394C24×C17—22no—
395C24×C17—22no—
396C24×C17—22no—
397C24×C17—22no—
398C24×C17—22no—
399C24×C17—22no—
400C24×C17—22no—
401C24×C17—22no—
402C24×C17—22no—
403C24×C17—22no—
404C24×C17—22no—
405C24×C17—41no—
406C24×C17—41no—
407C24×C17—41no—
408C24×C17—41no—
409C24×C17—41no—
410C24×C17—41no—
411C24×C17—41no—
412C24×C17—41no—
413C24×C17—41no—
414C24×C17—41no—
415C24×C17—41no—
416C24×C17—41no—
417C24×C17—41no—
418C24×C17—41no—
419C24×C17—41no—
420C24×C17—41no—
421C24×C17—41no—
422C24×C17—41no—
423C24×C17—41no—
424C24×C17—41no—
425C24×C17—41no—
426C24×C17—41no—
427C24×C17—41no—
428C24×C17—41no—
429C24×C17—416no—
430C24×C17—416no—
431C24×C17—416no—
432C24×C17—416no—
433C24×C17—416no—
434C24×C17—416no—
435C24×C17—416no—
436C24×C17#4114yes—
437C24×C17C2411yescharacteristic
438C24×C17C2411yescharacteristic
439C24×C17C2411yescharacteristic
440C24×C17C2411yescharacteristic
441C24×C17C2411yescharacteristic
442C24×C17C2411yescharacteristic
443C24×C17C2411yescharacteristic
444C24×C17C2411yescharacteristic
445C23×D17C2411yescharacteristic
446C2×D4×C17—22no—
447C2×D4×C17—22no—
448C2×D4×C17—22no—
449C2×D4×C17—22no—
450C2×D4×C17—22no—
451C2×D4×C17—22no—
452C2×D4×C17—22no—
453C2×D4×C17—22no—
454C2×D4×C17—22no—
455C2×D4×C17—41no—
456C2×D4×C17—41no—
457C2×D4×C17—41no—
458C2×D4×C17—41no—
459C2×D4×C17—41no—
460C2×D4×C17—41no—
461C2×D4×C17—41no—
462C2×D4×C17—41no—
463C2×D4×C17—41no—
464C2×D4×C17—41no—
465C2×D4×C17—41no—
466C2×D4×C17—41no—
467C22×C4×C17C2411yescharacteristic
468C22×C4×C17C2411yescharacteristic
469C22×C4×C17C2411yescharacteristic
470C22×C4×C17C2411yescharacteristic
471C22×C4×C17C2411yescharacteristic
472C22×C4×C17C2411yescharacteristic
473C22×C4×C17C2411yescharacteristic
474C2×C22⋊D17—22no—
475C2×C22⋊D17—22no—
476C2×C22⋊D17—22no—
477C2×C22⋊D17—22no—
478C2×C22⋊D17—22no—
479C2×C22⋊D17—22no—
480C2×C22⋊D17—22no—
481C2×C22⋊D17—22no—
482C2×C22⋊D17—22no—
483C2×C22⋊D17—41no—
484C2×C22⋊D17—41no—
485C2×C22⋊D17—41no—
486C2×C22⋊D17—41no—
487C2×C22⋊D17—41no—
488C2×C22⋊D17—41no—
489C2×C22⋊D17—41no—
490C2×C22⋊D17—41no—
491C2×C22⋊D17—41no—
492C2×C22⋊D17—41no—
493C2×C22⋊D17—41no—
494C2×C22⋊D17—41no—
495C2×C22⋊D17—41no—
496C2×C22⋊D17—41no—
497C2×C22⋊D17—41no—
498C22×Dic17—22no—
499C22×Dic17—22no—
500C22×Dic17—22no—
501C22×Dic17—22no—
502C22×Dic17—41no—
503C22×Dic17—41no—
504C22×Dic17—41no—
505C22×Dic17—41no—
506C22×Dic17—41no—
507C22×Dic17—41no—
508C22×Dic17—41no—
509C22×Dic17—41no—
510C22×Dic17—41no—
511C22×Dic17—41no—
512C22×Dic17—41no—
513C22×Dic17C2411yescharacteristic
514C22×Dic17C2411yescharacteristic
515C22×Dic17C2411yescharacteristic
516C22×Dic17C2411yescharacteristic
517C22×Dic17C2411yescharacteristic
518C22×Dic17C2411yescharacteristic
519C22×Dic17C2411yescharacteristic
520C22×Dic17C2411yescharacteristic
521C22×Dic17C2411yescharacteristic
522C22×Dic17C2411yescharacteristic
523C22×Dic17C2411yescharacteristic
524C22×Dic17C2411yescharacteristic
525C22×Dic17C2411yescharacteristic
526C22×Dic17C2411yescharacteristic
527C22×Dic17C2411yescharacteristic
528C2×C4×D17—41no—
529C2×C4×D17—41no—
530C2×C4×D17—41no—
531C2×Dic34—41no—
532C2×Dic34—41no—
533C2×Dic34—41no—
534C22⋊C4×C17—22no—
535C22⋊C4×C17—22no—
536C22⋊C4×C17—22no—
537C22⋊C4×C17—22no—
538C22⋊C4×C17—22no—
539C22⋊C4×C17—22no—
540C22⋊C4×C17—22no—
541C22⋊C4×C17—22no—
542C22⋊C4×C17—22no—
543C22⋊C4×C17—41no—
544C22⋊C4×C17—41no—
545C22⋊C4×C17—41no—
546C22⋊C4×C17—41no—
547C22⋊C4×C17—41no—
548C22⋊C4×C17—41no—
549C22⋊C4×C17—41no—
550C22⋊C4×C17—41no—
551C22⋊C4×C17—41no—
552C22⋊C4×C17—41no—
553C22⋊C4×C17—41no—
554C22⋊C4×C17—41no—
555C22⋊Dic17—22no—
556C22⋊Dic17—22no—
557C22⋊Dic17—22no—
558C22⋊Dic17—22no—
559C22⋊Dic17—22no—
560C22⋊Dic17—22no—
561C22⋊Dic17—22no—
562C22⋊Dic17—22no—
563C22⋊Dic17—22no—
564C22⋊Dic17—22no—
565C22⋊Dic17—22no—
566C22⋊Dic17—22no—
567C22⋊Dic17—22no—
568C22⋊Dic17—22no—
569C22⋊Dic17—22no—
570C22⋊Dic17—22no—
571C22⋊Dic17—22no—
572C22⋊Dic17—41no—
573C22⋊Dic17—41no—
574C22⋊Dic17—41no—
575C22⋊Dic17—41no—
576C22⋊Dic17—41no—
577C22⋊Dic17—41no—
578C22⋊Dic17—41no—
579C22⋊Dic17—41no—
580C22⋊Dic17—41no—
581C22⋊Dic17—41no—
582C22⋊Dic17—41no—
583C22⋊Dic17—41no—
584C22⋊Dic17—41no—
585C22⋊Dic17—41no—
586C22⋊Dic17—41no—
587C22⋊Dic17—41no—
588C22⋊Dic17—41no—
589C22⋊Dic17—41no—
590C22⋊Dic17—41no—
591C22⋊Dic17—41no—
592C22⋊Dic17—41no—
593C22⋊Dic17—41no—
594C22⋊Dic17—41no—
595C22⋊Dic17—41no—
596C22⋊Dic17—41no—
597C22⋊Dic17—41no—
598C22⋊Dic17—41no—
599C22⋊Dic17—41no—
600C22⋊Dic17—41no—
601C22⋊Dic17—41no—
602C22⋊Dic17—41no—
603C22⋊Dic17—41no—
604C22⋊Dic17—41no—
605C22⋊Dic17—41no—
606#63227—41no—
607#63227—41no—
608#63227—41no—
609#63227—41no—
610#63227—41no—
611#63227—41no—
612C4⋊Dic17—41no—
613C4⋊Dic17—41no—
614C4⋊Dic17—41no—
615C4⋊Dic17—41no—
616C4⋊Dic17—41no—
617C4⋊Dic17—41no—
618#63225—41no—
619#63225—41no—
620#63225—41no—
621#63225—41no—
622#63225—41no—
623#63225—41no—
624#63225—41no—
625#63225—41no—
626#63225—41no—
627#63225—41no—
628#63225—41no—
629#63225—41no—
630C4×Dic17—41no—
631C4×Dic17—41no—
632C4×Dic17—41no—
633C4×Dic17—41no—
634C4×Dic17—41no—
635C4×Dic17—41no—
636#36725—171nomaximal, Sylow
637C23×C17—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17—28no—
642C23×C17—28no—
643C23×C17—28no—
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×C17—21no—
658C23×C17—21no—
659C23×C17—21no—
660C23×C17—21no—
661C23×C17—21no—
662C23×C17—21no—
663C23×C17—21no—
664C23×C17—21no—
665C23×C17—21no—
666C23×C17—21no—
667C23×C17—21no—
668C23×C17—21no—
669C23×C17—21no—
670C23×C17—21no—
671C23×C17—21no—
672C23×C17—21no—
673C23×C17—21no—
674C23×C17—21no—
675C23×C17—21no—
676C23×C17—21no—
677C23×C17—21no—
678C23×C17—21no—
679C23×C17—21no—
680C23×C17—21no—
681C23×C17—21no—
682C23×C17—21no—
683C23×C17—21no—
684C23×C17—21no—
685C23×C17—21no—
686C23×C17—21no—
687C23×C17—44no—
688C23×C17—44no—
689C23×C17—44no—
690C23×C17—44no—
691C23×C17—44no—
692C23×C17—44no—
693C23×C17—44no—
694C23×C17—44no—
695C23×C17—44no—
696C23×C17—44no—
697C23×C17—44no—
698C23×C17—44no—
699C23×C17—44no—
700C23×C17—44no—
701C23×C17—44no—
702C23×C17—44no—
703C23×C17—44no—
704C23×C17—44no—
705C23×C17—44no—
706C23×C17—44no—
707C23×C17—44no—
708C23×C17—44no—
709C23×C17—44no—
710C23×C17—44no—
711C23×C17—44no—
712C23×C17—44no—
713C23×C17—44no—
714C23×C17—44no—
715C23×C17—44no—
716C23×C17—44no—
717C23×C17—44no—
718C23×C17—44no—
719C23×C17—44no—
720C23×C17—44no—
721C23×C17—44no—
722C23×C17—44no—
723C23×C17—44no—
724C23×C17—44no—
725C23×C17—44no—
726C23×C17—44no—
727C23×C17—4128no—
728C23×C17—44no—
729C23×C17—44no—
730C23×C17—44no—
731C23×C17—44no—
732C23×C17—44no—
733C23×C17—44no—
734C23×C17C2×#4112yes—
735C23×C17C2×#4112yes—
736C23×C17C2×#4112yes—
737C23×C17H(5,𝔽2)12yes—
738C23×C17H(5,𝔽2)12yes—
739C23×C17H(5,𝔽2)12yes—
740C23×C17H(5,𝔽2)12yes—
741C23×C17H(5,𝔽2)12yes—
742C23×C17H(5,𝔽2)12yes—
743C23×C17C2511yescharacteristic
744C22×D17—21no—
745C22×D17—21no—
746C22×D17—21no—
747C22×D17—21no—
748C22×D17—21no—
749C22×D17—21no—
750C22×D17—21no—
751D4×C17—44no—
752D4×C17—82no—
753D4×C17—82no—
754D4×C17—82no—
755D4×C17—82no—
756D4×C17—82no—
757D4×C17—82no—
758C2×C4×C17—21no—
759C2×C4×C17—21no—
760C2×C4×C17—21no—
761C2×C4×C17—21no—
762C2×C4×C17—21no—
763C2×C4×C17—21no—
764C2×C4×C17—21no—
765C2×C4×C17—21no—
766C2×C4×C17—21no—
767C2×C4×C17—21no—
768C2×C4×C17—21no—
769C2×C4×C17—21no—
770C2×C4×C17—21no—
771C2×C4×C17—21no—
772C2×C4×C17—21no—
773C2×C4×C17—21no—
774C2×C4×C17—21no—
775C2×C4×C17—21no—
776C2×C4×C17—21no—
777C2×C4×C17—21no—
778C2×C4×C17—21no—
779C22⋊D17—44no—
780C22⋊D17—82no—
781C22⋊D17—82no—
782C22⋊D17—82no—
783C22⋊D17—82no—
784C22⋊D17—82no—
785C22⋊D17—82no—
786C22⋊D17—82no—
787C2×Dic17—21no—
788C2×Dic17—21no—
789C2×Dic17—21no—
790C2×Dic17—21no—
791C2×Dic17—21no—
792C2×Dic17—21no—
793C2×Dic17—21no—
794C2×Dic17—21no—
795C2×Dic17—21no—
796C2×Dic17—21no—
797C2×Dic17—21no—
798C2×Dic17—21no—
799C2×Dic17—21no—
800C2×Dic17—21no—
801C2×Dic17—21no—
802C2×Dic17—21no—
803C2×Dic17—21no—
804C2×Dic17—21no—
805C2×Dic17—21no—
806C2×Dic17—21no—
807C2×Dic17—21no—
808C2×Dic17—21no—
809C2×Dic17—21no—
810C2×Dic17—21no—
811C2×Dic17—21no—
812C2×Dic17—21no—
813C2×Dic17—21no—
814C2×Dic17—21no—
815C2×Dic17—21no—
816C2×Dic17—21no—
817C2×Dic17—21no—
818C2×Dic17—21no—
819C2×Dic17—21no—
820C2×Dic17—21no—
821C2×Dic17—21no—
822C2×Dic17—21no—
823C2×Dic17—21no—
824C2×Dic17—21no—
825C2×Dic17—21no—
826C2×Dic17—21no—
827C2×Dic17—21no—
828C2×Dic17—21no—
829C2×Dic17—21no—
830C2×Dic17—21no—
831C2×Dic17—21no—
832C2×Dic17—82no—
833C2×Dic17—82no—
834C2×Dic17—82no—
835C2×Dic17—82no—
836C2×Dic17—82no—
837C4×D17—82no—
838Dic34—82no—
839#2846—171no—
840#2846D1711yescharacteristic, complemented
841#2736—171no—
842#2735—171no—
843#2735—171no—
844#2735—171no—
845#2697—171no—
846#2697—171no—
847#2685—171no—
848#2685—171no—
849#2685—171no—
850#2685—171no—
851#2684—171no—
852#2684—171no—
853#2678—171no—
854#2678—171no—
855#2670—171no—
856#2668—171no—
857#2626—171no—
858#2617—171no—
859#2480—171no—
860#2480—171no—
861#2472—171no—
862#2472—171no—
863#2424—171no—
864#2424—171no—
865#2418—171no—
866#2418—171no—
867#2321—171no—
868#2321—171no—
869C2×#379—171no—
870C22×C17—22no—
871C22×C17—22no—
872C22×C17—22no—
873C22×C17—22no—
874C22×C17—22no—
875C22×C17—22no—
876C22×C17—22no—
877C22×C17—22no—
878C22×C17—22no—
879C22×C17—22no—
880C22×C17—22no—
881C22×C17—22no—
882C22×C17—22no—
883C22×C17—22no—
884C22×C17—22no—
885C22×C17—22no—
886C22×C17—22no—
887C22×C17—22no—
888C22×C17—22no—
889C22×C17—22no—
890C22×C17—22no—
891C22×C17—22no—
892C22×C17—22no—
893C22×C17—22no—
894C22×C17—416no—
895C22×C17—416no—
896C22×C17—416no—
897C22×C17—416no—
898C22×C17—416no—
899C22×C17—416no—
900C22×C17—416no—
901C22×C17—41no—
902C22×C17—41no—
903C22×C17—41no—
904C22×C17—41no—
905C22×C17—41no—
906C22×C17—41no—
907C22×C17—41no—
908C22×C17—41no—
909C22×C17—41no—
910C22×C17—41no—
911C22×C17—41no—
912C22×C17—41no—
913C22×C17—41no—
914C22×C17—41no—
915C22×C17—41no—
916C22×C17—41no—
917C22×C17—41no—
918C22×C17—41no—
919C22×C17—41no—
920C22×C17—41no—
921C22×C17—41no—
922C22×C17—41no—
923C22×C17—41no—
924C22×C17—41no—
925C22×C17—41no—
926C22×C17—41no—
927C22×C17—41no—
928C22×C17—41no—
929C22×C17—41no—
930C22×C17—41no—
931C22×C17—41no—
932C22×C17#53814yes—
933C22×C17C22×#4111yescharacteristic
934C22×C17C2×H(5,𝔽2)11yescharacteristic
935C22×C17C2×H(5,𝔽2)11yescharacteristic
936C22×C17C2×H(5,𝔽2)11yescharacteristic
937C22×C17C2×H(5,𝔽2)11yescharacteristic
938C22×C17C2×H(5,𝔽2)11yescharacteristic
939C22×C17C2×H(5,𝔽2)11yescharacteristic
940C2×D17—41no—
941C2×D17—41no—
942C2×D17—41no—
943C2×D17—41no—
944C2×D17—41no—
945C2×D17—41no—
946C2×D17—41no—
947C4×C17—41no—
948C4×C17—41no—
949C4×C17—41no—
950C4×C17—41no—
951C4×C17—41no—
952C4×C17—41no—
953C4×C17—41no—
954Dic17—41no—
955Dic17—41no—
956Dic17—41no—
957Dic17—41no—
958Dic17—41no—
959Dic17—41no—
960Dic17—41no—
961Dic17—41no—
962Dic17—41no—
963Dic17—41no—
964Dic17—41no—
965Dic17—41no—
966Dic17—41no—
967Dic17—41no—
968Dic17—41no—
969C26C2×D1711yescharacteristic
970C2×#126—171no—
971C2×#126—171no—
972C2×#124—171no—
973C2×#124—171no—
974C2×#123—171no—
975C2×#123—171no—
976C2×C22⋊Q8—171no—
977C2×#121—171no—
978C2×#121—171no—
979C2×#121—171no—
980C2×#120—171no—
981C2×#120—171no—
982C2×#120—171no—
983C2×#120—171no—
984C2×#120—171no—
985C2×#120—171no—
986C2×#120—171no—
987C2×#120C2×D1711yescharacteristic
988C2×#120C2×D1711yescharacteristic
989C2×#120C2×D1711yescharacteristic
990C2×#120C2×D1711yescharacteristic
991C2×#120C2×D1711yescharacteristic
992C2×#120C2×D1711yescharacteristic
993C2×#120C2×D1711yescharacteristic
994C2×C4×D4—171no—
995C2×C4×D4—171no—
996C22×C22⋊C4—171no—
997C22×C22⋊C4—171no—
998C22×C22⋊C4—171no—
999C22×C22⋊C4—171no—
1000C22×C22⋊C4—171no—
1001C22×C22⋊C4—171no—
1002#399—171no—
1003#399—171no—
1004#399—171no—
1005#399—171no—
1006#397—171no—
1007#397—171no—
1008#397—171no—
1009#397—171no—
1010#397—171no—
1011#397—171no—
1012#397—171no—
1013#397—171no—
1014#397—171no—
1015#397—171no—
1016#397—171no—
1017#397—171no—
1018#396—171no—
1019#396—171no—
1020#396—171no—
1021#396—171no—
1022#396—171no—
1023#396—171no—
1024#396—171no—
1025#396—171no—
1026#394—171no—
1027#394—171no—
1028#394—171no—
1029#394—171no—
1030#394—171no—
1031#394—171no—
1032#394—171no—
1033#394—171no—
1034#394—171no—
1035#394—171no—
1036#394—171no—
1037#394—171no—
1038#394—171no—
1039#394—171no—
1040#394—171no—
1041#394—171no—
1042#393—171no—
1043#393—171no—
1044#393—171no—
1045#393—171no—
1046#392—171no—
1047#392—171no—
1048#392—171no—
1049#392—171no—
1050#390—171no—
1051#390—171no—
1052#390—171no—
1053#390—171no—
1054#390—171no—
1055#390—171no—
1056#390—171no—
1057#390—171no—
1058#388—171no—
1059#388—171no—
1060#388—171no—
1061#388—171no—
1062#388—171no—
1063#388—171no—
1064#388—171no—
1065#388—171no—
1066#388—171no—
1067#388—171no—
1068#388—171no—
1069#388—171no—
1070#388—171no—
1071#388—171no—
1072#388—171no—
1073#388—171no—
1074#388—171no—
1075#388—171no—
1076#388—171no—
1077#388—171no—
1078#388—171no—
1079#388—171no—
1080#388—171no—
1081#388—171no—
1082#386—171no—
1083#386—171no—
1084#386—171no—
1085#386—171no—
1086#386—171no—
1087#386—171no—
1088#386—171no—
1089#386—171no—
1090#386—171no—
1091#386—171no—
1092#386—171no—
1093#386—171no—
1094#385—171no—
1095#385—171no—
1096#385—171no—
1097#385—171no—
1098#380—171no—
1099#380—171no—
1100#379—171no—
1101#379—171no—
1102#379—171no—
1103#379—171no—
1104#379—171no—
1105#379—171no—
1106#379—171no—
1107#379—171no—
1108#379—171no—
1109#379—171no—
1110#379—171no—
1111#379—171no—
1112#379—171no—
1113#379—171no—
1114#379—171no—
1115#379C2×D1711yescharacteristic
1116#379C2×D1711yescharacteristic
1117#379C2×D1711yescharacteristic
1118#379C2×D1711yescharacteristic
1119#379C2×D1711yescharacteristic
1120#379C2×D1711yescharacteristic
1121#379C2×D1711yescharacteristic
1122C4×C22⋊C4—171no—
1123C4×C22⋊C4—171no—
1124C2×C17—24no—
1125C2×C17—42no—
1126C2×C17—42no—
1127C2×C17—42no—
1128C2×C17—42no—
1129C2×C17—42no—
1130C2×C17—42no—
1131C2×C17—81no—
1132C2×C17C2×#53811yescharacteristic
1133C2×C17#349011yescharacteristic
1134C2×C17#349011yescharacteristic
1135C2×C17#353211yescharacteristic
1136C2×C17#353211yescharacteristic
1137C2×C17#353211yescharacteristic
1138C2×C17#353211yescharacteristic
1139D17—81no—
1140C25—24no—
1141C25—42no—
1142C25—42no—
1143C25—42no—
1144C25—42no—
1145C25—42no—
1146C25—42no—
1147C25C22×D1711yescharacteristic
1148C25C22×D1711yescharacteristic
1149C25C22×D1711yescharacteristic
1150C25C22×D1711yescharacteristic
1151C25C22×D1711yescharacteristic
1152C25C22×D1711yescharacteristic
1153C25C22×D1711yescharacteristic
1154C22×Q8—171no—
1155C22×D4—171no—
1156C22×D4—171no—
1157C22×D4—171no—
1158C22×D4—171no—
1159C22×D4—171no—
1160C22×D4—171no—
1161C22×D4—171no—
1162C22×D4—171no—
1163C22×D4C22×D1711yescharacteristic
1164C22×D4C22×D1711yescharacteristic
1165C22×D4C22×D1711yescharacteristic
1166C22×D4C22×D1711yescharacteristic
1167C22×D4C22×D1711yescharacteristic
1168C22×D4C22×D1711yescharacteristic
1169C22×D4C22×D1711yescharacteristic
1170C23×C4—171no—
1171C23×C4—171no—
1172C23×C4—171no—
1173C23×C4—171no—
1174C23×C4—171no—
1175C23×C4—171no—
1176#126—682no—
1177#126—682no—
1178#124—682no—
1179#124—682no—
1180#123—682no—
1181#123—682no—
1182C22⋊Q8—682no—
1183#121—682no—
1184#121—682no—
1185#121—682no—
1186#120—24no—
1187#120—42no—
1188#120—42no—
1189#120—42no—
1190#120—42no—
1191#120—42no—
1192#120—42no—
1193#120—344no—
1194#120—682no—
1195#120—682no—
1196#120—682no—
1197#120—682no—
1198#120—682no—
1199#120—682no—
1200C4×D4—682no—
1201C4×D4—682no—
1202C2×C4⋊C4—171no—
1203C2×C4⋊C4—171no—
1204C2×C4⋊C4—171no—
1205C2×C4⋊C4—171no—
1206C2×C4⋊C4—171no—
1207C2×C4⋊C4—171no—
1208C2×C4⋊C4—171no—
1209C2×C4⋊C4—171no—
1210C2×C4⋊C4—171no—
1211C2×C4⋊C4—171no—
1212C2×C4⋊C4—171no—
1213C2×C4⋊C4—171no—
1214C2×C4⋊C4—171no—
1215C2×C4⋊C4—171no—
1216C2×C4⋊C4—171no—
1217C2×C4⋊C4—171no—
1218C2×C4⋊C4—171no—
1219C2×C4⋊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—171no—
1259C2×C22⋊C4—171no—
1260C2×C22⋊C4—171no—
1261C2×C22⋊C4—171no—
1262C2×C22⋊C4—171no—
1263C2×C22⋊C4—171no—
1264C2×C22⋊C4—171no—
1265C2×C22⋊C4—171no—
1266C2×C22⋊C4—171no—
1267C2×C22⋊C4—171no—
1268C2×C22⋊C4—171no—
1269C2×C22⋊C4—171no—
1270C2×C22⋊C4—171no—
1271C2×C22⋊C4—171no—
1272C2×C22⋊C4—171no—
1273C2×C22⋊C4—171no—
1274C2×C22⋊C4—171no—
1275C2×C22⋊C4—171no—
1276C2×C22⋊C4—171no—
1277C2×C22⋊C4—682no—
1278C2×C22⋊C4—682no—
1279C2×C22⋊C4—682no—
1280C2×C22⋊C4—682no—
1281C2×C22⋊C4—682no—
1282C2×C22⋊C4—682no—
1283C2×C22⋊C4C22×D1711yescharacteristic
1284C2×C22⋊C4C22×D1711yescharacteristic
1285C2×C22⋊C4C22×D1711yescharacteristic
1286C2×C22⋊C4C22×D1711yescharacteristic
1287C2×C22⋊C4C22×D1711yescharacteristic
1288C2×C22⋊C4C22×D1711yescharacteristic
1289C2×C22⋊C4C22×D1711yescharacteristic
1290C2×C22⋊C4C22×D1711yescharacteristic
1291C2×C22⋊C4C22×D1711yescharacteristic
1292C2×C22⋊C4C22×D1711yescharacteristic
1293C2×C22⋊C4C22×D1711yescharacteristic
1294C2×C22⋊C4C22×D1711yescharacteristic
1295C2×C22⋊C4C22×D1711yescharacteristic
1296C2×C22⋊C4C22×D1711yescharacteristic
1297C2×C22⋊C4C22×D1711yescharacteristic
1298C2×C22⋊C4C22×D1711yescharacteristic
1299C2×C22⋊C4C22×D1711yescharacteristic
1300C2×C22⋊C4C22×D1711yescharacteristic
1301C2×C22⋊C4C22×D1711yescharacteristic
1302C2×C22⋊C4C22×D1711yescharacteristic
1303C2×C22⋊C4C22×D1711yescharacteristic
1304C2×C42—171no—
1305C2×C42—171no—
1306C2×C42—171no—
1307C2×C42—171no—
1308C2×C42—171no—
1309C2×C42—171no—
1310#95—171no—
1311#95—171no—
1312#95—171no—
1313#95—171no—
1314#95—171no—
1315#95—171no—
1316#95—171no—
1317#95—171no—
1318#95—171no—
1319#95—171no—
1320#95—171no—
1321#95—171no—
1322#95—171no—
1323#95—171no—
1324#95—171no—
1325#95—171no—
1326#95—171no—
1327#95—171no—
1328#95—171no—
1329#95—171no—
1330#95—171no—
1331#95—171no—
1332#95—171no—
1333#95—171no—
1334C17#3672511yescharacteristic, complemented, Sylow
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—22no—
1341C24—22no—
1342C24—22no—
1343C24—22no—
1344C24—22no—
1345C24—22no—
1346C24—22no—
1347C24—22no—
1348C24—22no—
1349C24—22no—
1350C24—22no—
1351C24—22no—
1352C24—22no—
1353C24—22no—
1354C24—22no—
1355C24—22no—
1356C24—22no—
1357C24—22no—
1358C24—22no—
1359C24—41no—
1360C24—41no—
1361C24—41no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—41no—
1366C24—41no—
1367C24—41no—
1368C24—41no—
1369C24—41no—
1370C24—41no—
1371C24—41no—
1372C24—41no—
1373C24—41no—
1374C24—41no—
1375C24—41no—
1376C24—41no—
1377C24—41no—
1378C24—41no—
1379C24—41no—
1380C24—41no—
1381C24—41no—
1382C24—41no—
1383C24—416no—
1384C24—416no—
1385C24—416no—
1386C24—416no—
1387C24—416no—
1388C24—416no—
1389C24—416no—
1390C24—171no—
1391C24#6325414yes—
1392C24C23×D1711yescharacteristic
1393C24C23×D1711yescharacteristic
1394C24C23×D1711yescharacteristic
1395C24C23×D1711yescharacteristic
1396C24C23×D1711yescharacteristic
1397C24C23×D1711yescharacteristic
1398C24C23×D1711yescharacteristic
1399C24C23×D1711yescharacteristic
1400C2×Q8—681no—
1401C2×Q8—681no—
1402C2×Q8—681no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—22no—
1411C2×D4—22no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—342no—
1425C2×D4—342no—
1426C2×D4—342no—
1427C2×D4—342no—
1428C2×D4—342no—
1429C2×D4—342no—
1430C2×D4—342no—
1431C2×D4—342no—
1432C2×D4—342no—
1433C2×D4—681no—
1434C2×D4—681no—
1435C2×D4—681no—
1436C2×D4—681no—
1437C2×D4—681no—
1438C2×D4—681no—
1439C2×D4—681no—
1440C2×D4—681no—
1441C2×D4—681no—
1442C2×D4—681no—
1443C2×D4—681no—
1444C2×D4—681no—
1445C2×D4—681no—
1446C2×D4—681no—
1447C2×D4—681no—
1448C22×C4—171no—
1449C22×C4—171no—
1450C22×C4—171no—
1451C22×C4—171no—
1452C22×C4—171no—
1453C22×C4—171no—
1454C22×C4—171no—
1455C22×C4—171no—
1456C22×C4—171no—
1457C22×C4—171no—
1458C22×C4—171no—
1459C22×C4—171no—
1460C22×C4—171no—
1461C22×C4—171no—
1462C22×C4—171no—
1463C22×C4—342no—
1464C22×C4—342no—
1465C22×C4—342no—
1466C22×C4—342no—
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×C4C23×D1711yescharacteristic
1482C22×C4C23×D1711yescharacteristic
1483C22×C4C23×D1711yescharacteristic
1484C22×C4C23×D1711yescharacteristic
1485C22×C4C23×D1711yescharacteristic
1486C22×C4C23×D1711yescharacteristic
1487C22×C4C23×D1711yescharacteristic
1488C4⋊C4—681no—
1489C4⋊C4—681no—
1490C4⋊C4—681no—
1491C4⋊C4—681no—
1492C4⋊C4—681no—
1493C4⋊C4—681no—
1494C4⋊C4—681no—
1495C4⋊C4—681no—
1496C4⋊C4—681no—
1497C4⋊C4—681no—
1498C4⋊C4—681no—
1499C4⋊C4—681no—
1500C4⋊C4—681no—
1501C4⋊C4—681no—
1502C4⋊C4—681no—
1503C4⋊C4—681no—
1504C4⋊C4—681no—
1505C4⋊C4—681no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—41no—
1526C22⋊C4—41no—
1527C22⋊C4—342no—
1528C22⋊C4—342no—
1529C22⋊C4—342no—
1530C22⋊C4—342no—
1531C22⋊C4—342no—
1532C22⋊C4—342no—
1533C22⋊C4—342no—
1534C22⋊C4—342no—
1535C22⋊C4—342no—
1536C22⋊C4—342no—
1537C22⋊C4—342no—
1538C22⋊C4—342no—
1539C22⋊C4—342no—
1540C22⋊C4—342no—
1541C22⋊C4—342no—
1542C22⋊C4—342no—
1543C22⋊C4—342no—
1544C22⋊C4—681no—
1545C22⋊C4—681no—
1546C22⋊C4—681no—
1547C22⋊C4—681no—
1548C22⋊C4—681no—
1549C22⋊C4—681no—
1550C22⋊C4—681no—
1551C22⋊C4—681no—
1552C22⋊C4—681no—
1553C22⋊C4—681no—
1554C22⋊C4—681no—
1555C22⋊C4—681no—
1556C22⋊C4—681no—
1557C22⋊C4—681no—
1558C22⋊C4—681no—
1559C22⋊C4—681no—
1560C22⋊C4—681no—
1561C22⋊C4—681no—
1562C22⋊C4—681no—
1563C22⋊C4—681no—
1564C22⋊C4—681no—
1565C22⋊C4—681no—
1566C22⋊C4—681no—
1567C22⋊C4—681no—
1568C22⋊C4—681no—
1569C22⋊C4—681no—
1570C22⋊C4—681no—
1571C22⋊C4—681no—
1572C22⋊C4—681no—
1573C22⋊C4—681no—
1574C22⋊C4—681no—
1575C22⋊C4—681no—
1576C22⋊C4—681no—
1577C22⋊C4—681no—
1578C22⋊C4—681no—
1579C22⋊C4—681no—
1580C22⋊C4—681no—
1581C22⋊C4—681no—
1582C22⋊C4—681no—
1583C22⋊C4—681no—
1584C42—681no—
1585C42—681no—
1586C42—681no—
1587C42—681no—
1588C42—681no—
1589C42—681no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—28no—
1595C23—28no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—28no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—44no—
1641C23—44no—
1642C23—44no—
1643C23—44no—
1644C23—44no—
1645C23—44no—
1646C23—44no—
1647C23—44no—
1648C23—44no—
1649C23—44no—
1650C23—44no—
1651C23—44no—
1652C23—44no—
1653C23—44no—
1654C23—44no—
1655C23—44no—
1656C23—44no—
1657C23—44no—
1658C23—44no—
1659C23—44no—
1660C23—44no—
1661C23—44no—
1662C23—44no—
1663C23—44no—
1664C23—44no—
1665C23—44no—
1666C23—44no—
1667C23—44no—
1668C23—44no—
1669C23—44no—
1670C23—44no—
1671C23—44no—
1672C23—44no—
1673C23—44no—
1674C23—44no—
1675C23—44no—
1676C23—44no—
1677C23—44no—
1678C23—44no—
1679C23—44no—
1680C23—4128no—
1681C23—44no—
1682C23—44no—
1683C23—44no—
1684C23—44no—
1685C23—44no—
1686C23—44no—
1687C23—341no—
1688C23—341no—
1689C23—341no—
1690C23—341no—
1691C23—341no—
1692C23—341no—
1693C23—341no—
1694C23C2×#6325412yes—
1695C23C2×#6325412yes—
1696C23C2×#6325412yes—
1697C23#1058769112yes—
1698C23#1058769112yes—
1699C23#1058769112yes—
1700C23#1058769112yes—
1701C23#1058769112yes—
1702C23#1058769112yes—
1703C23C24×D1711yescharacteristic
1704Q8—1362no—
1705D4—44no—
1706D4—82no—
1707D4—82no—
1708D4—82no—
1709D4—82no—
1710D4—82no—
1711D4—82no—
1712D4—684no—
1713D4—1362no—
1714D4—1362no—
1715D4—1362no—
1716D4—1362no—
1717D4—1362no—
1718D4—1362no—
1719D4—1362no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—341no—
1742C2×C4—341no—
1743C2×C4—341no—
1744C2×C4—341no—
1745C2×C4—341no—
1746C2×C4—341no—
1747C2×C4—341no—
1748C2×C4—341no—
1749C2×C4—341no—
1750C2×C4—341no—
1751C2×C4—341no—
1752C2×C4—341no—
1753C2×C4—341no—
1754C2×C4—341no—
1755C2×C4—341no—
1756C2×C4—341no—
1757C2×C4—341no—
1758C2×C4—341no—
1759C2×C4—341no—
1760C2×C4—341no—
1761C2×C4—341no—
1762C2×C4—341no—
1763C2×C4—341no—
1764C2×C4—341no—
1765C2×C4—341no—
1766C2×C4—341no—
1767C2×C4—341no—
1768C2×C4—341no—
1769C2×C4—341no—
1770C2×C4—341no—
1771C2×C4—341no—
1772C2×C4—341no—
1773C2×C4—341no—
1774C2×C4—341no—
1775C2×C4—341no—
1776C2×C4—341no—
1777C2×C4—341no—
1778C2×C4—341no—
1779C2×C4—341no—
1780C2×C4—341no—
1781C2×C4—341no—
1782C2×C4—341no—
1783C2×C4—341no—
1784C2×C4—341no—
1785C2×C4—341no—
1786C2×C4—1362no—
1787C2×C4—1362no—
1788C2×C4—1362no—
1789C2×C4—1362no—
1790C2×C4—1362no—
1791C2×C4—1362no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—416no—
1817C22—416no—
1818C22—416no—
1819C22—416no—
1820C22—416no—
1821C22—416no—
1822C22—416no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—681no—
1855C22—681no—
1856C22—681no—
1857C22—681no—
1858C22—681no—
1859C22—681no—
1860C22—681no—
1861C22#1176339414yes—
1862C22C22×#6325411yescharacteristic
1863C22C2×#1058769111yescharacteristic
1864C22C2×#1058769111yescharacteristic
1865C22C2×#1058769111yescharacteristic
1866C22C2×#1058769111yescharacteristic
1867C22C2×#1058769111yescharacteristic
1868C22C2×#1058769111yescharacteristic
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—681no—
1877C4—681no—
1878C4—681no—
1879C4—681no—
1880C4—681no—
1881C4—681no—
1882C4—681no—
1883C4—681no—
1884C4—681no—
1885C4—681no—
1886C4—681no—
1887C4—681no—
1888C4—681no—
1889C4—681no—
1890C4—681no—
1891C2—24no—
1892C2—42no—
1893C2—42no—
1894C2—42no—
1895C2—42no—
1896C2—42no—
1897C2—42no—
1898C2—81no—
1899C2—1361no—
1900C2C2×#1176339411yescharacteristic
1901C2#1454247111yescharacteristic
1902C2#1454247111yescharacteristic
1903C2#1454293911yescharacteristic
1904C2#1454293911yescharacteristic
1905C2#1454293911yescharacteristic
1906C2#1454293911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2846C2
hypercenter#2846D17
hypocenterC17#36725
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2846

Complements

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

NH ≅ G/Ntype
1. #14537061C2semidirect
2. #14535830C2semidirect
3. #14535825C2semidirect
4. #14535821C2semidirect
5. #14535821C2semidirect
6. #14535347C2semidirect
7. #14535345C2semidirect
8. #14535179C2semidirect
9. #14535175C2semidirect
10. #14535171C2semidirect
11. #14535171C2semidirect
12. #14535164C2semidirect
13. #14535162C2semidirect
14. #14535109C2semidirect
15. #14535105C2semidirect
16. #14535006C2semidirect
17. #14534988C2semidirect
18. #14534593C2semidirect
19. #14534522C2semidirect
20. #14533029C2semidirect
21. #14533027C2semidirect
22. #14532909C2semidirect
23. #14532907C2semidirect
24. #14532324C2semidirect
25. #14532316C2semidirect
26. #14532250C2semidirect
27. #14532242C2semidirect
28. #14531445C2semidirect
29. #14531439C2semidirect
30. C2×#11762665C2semidirect
31. C17×#2846C2semidirect
32. C2×#10587565C22semidirect
33. C2×#10587565C22semidirect
34. C2×#10587622C22semidirect
35. C2×#10587571C22semidirect
36. C2×#10587569C22semidirect
37. C2×#10587621C22semidirect
38. C2×#10587564C22semidirect
39. C2×#10587625C22semidirect
40. C2×#10587625C22semidirect
41. C2×#10587624C22semidirect
49. C2×D4×Dic17C22semidirect
50. C2×#10587567C22semidirect
57. #11762745C22semidirect
58. #11762745C22semidirect
59. #11762745C22semidirect
60. #11762745C22semidirect
61. #11762737C22semidirect
62. #11762737C22semidirect
63. #11762737C22semidirect
64. #11762737C22semidirect
65. #11762737C22semidirect
66. #11762737C22semidirect
67. #11762737C22semidirect
68. #11762737C22semidirect
69. #11762734C22semidirect
70. #11762734C22semidirect
71. #11762734C22semidirect
72. #11762734C22semidirect
73. #11762732C22semidirect
74. #11762732C22semidirect
75. #11762732C22semidirect
76. #11762732C22semidirect
77. #11762732C22semidirect
78. #11762732C22semidirect
79. #11762732C22semidirect
80. #11762732C22semidirect
81. #11762725C22semidirect
82. #11762725C22semidirect
83. #11762725C22semidirect
84. #11762725C22semidirect
85. #11762724C22semidirect
86. #11762724C22semidirect
87. #11762724C22semidirect
88. #11762724C22semidirect
89. #11762723C22semidirect
90. #11762723C22semidirect
91. #11762723C22semidirect
92. #11762723C22semidirect
93. #11762723C22semidirect
94. #11762723C22semidirect
95. #11762723C22semidirect
96. #11762723C22semidirect
97. #11762721C22semidirect
98. #11762721C22semidirect
99. #11762721C22semidirect
100. #11762721C22semidirect
101. #11762717C22semidirect
102. #11762717C22semidirect
103. #11762717C22semidirect
104. #11762717C22semidirect
105. #11762712C22semidirect
106. #11762712C22semidirect
107. #11762712C22semidirect
108. #11762712C22semidirect
109. #11762709C22semidirect
110. #11762709C22semidirect
111. #11762709C22semidirect
112. #11762709C22semidirect
113. #11762703C22semidirect
114. #11762703C22semidirect
115. #11762703C22semidirect
116. #11762703C22semidirect
117. #11762703C22semidirect
118. #11762703C22semidirect
119. #11762703C22semidirect
120. #11762703C22semidirect
121. #11762702C22semidirect
122. #11762702C22semidirect
123. #11762702C22semidirect
124. #11762702C22semidirect
125. #11762702C22semidirect
126. #11762702C22semidirect
127. #11762702C22semidirect
128. #11762702C22semidirect
129. #11762697C22semidirect
130. #11762697C22semidirect
131. #11762697C22semidirect
132. #11762697C22semidirect
133. #11762697C22semidirect
134. #11762697C22semidirect
135. #11762697C22semidirect
136. #11762697C22semidirect
137. #11762689C22semidirect
138. #11762689C22semidirect
139. #11762689C22semidirect
140. #11762689C22semidirect
141. #11762689C22semidirect
142. #11762689C22semidirect
143. #11762686C22semidirect
144. #11762686C22semidirect
145. #11762685C22semidirect
146. #11762685C22semidirect
147. #11762685C22semidirect
148. #11762685C22semidirect
149. #11762684C22semidirect
150. #11762684C22semidirect
151. #11762681C22semidirect
152. #11762681C22semidirect
153. #11762667C22semidirect
154. #11762667C22semidirect
170. C22⋊C4×Dic17C22semidirect
171. C22⋊C4×Dic17C22semidirect
215. C22×C22⋊D17C23semidirect
220. C23×Dic17C23semidirect
221. C22×C4×D17C23semidirect
222. C22×Dic34C23semidirect
309. C2×C22⋊Dic17C23semidirect
310. C2×C22⋊Dic17C23semidirect
311. C2×C22⋊Dic17C23semidirect
312. C2×C22⋊Dic17C23semidirect
313. C2×C22⋊Dic17C23semidirect
314. C2×C22⋊Dic17C23semidirect
321. C2×#63227C23semidirect
322. C2×#63227C23semidirect
323. C2×#63227C23semidirect
324. C2×#63227C23semidirect
325. C2×#63227C23semidirect
326. C2×#63227C23semidirect
327. C2×C4⋊Dic17C23semidirect
328. C2×C4⋊Dic17C23semidirect
329. C2×C4⋊Dic17C23semidirect
330. C2×C4⋊Dic17C23semidirect
331. C2×C4⋊Dic17C23semidirect
332. C2×C4⋊Dic17C23semidirect
333. C2×#63225C23semidirect
334. C2×#63225C23semidirect
335. C2×#63225C23semidirect
336. C2×#63225C23semidirect
337. C2×#63225C23semidirect
338. C2×#63225C23semidirect
339. C2×#63225C23semidirect
340. C2×#63225C23semidirect
341. C2×#63225C23semidirect
342. C2×#63225C23semidirect
343. C2×#63225C23semidirect
344. C2×#63225C23semidirect
345. C2×C4×Dic17C23semidirect
346. C2×C4×Dic17C23semidirect
347. C2×C4×Dic17C23semidirect
348. C2×C4×Dic17C23semidirect
349. C2×C4×Dic17C23semidirect
350. C2×C4×Dic17C23semidirect
357. #10587502C23semidirect
358. #10587502C23semidirect
359. #10587502C23semidirect
360. #10587502C23semidirect
361. #10587502C23semidirect
362. #10587502C23semidirect
363. #10587502C23semidirect
364. #10587502C23semidirect
365. #10587502C23semidirect
366. #10587502C23semidirect
367. #10587502C23semidirect
368. #10587502C23semidirect
369. #10587502C23semidirect
370. #10587502C23semidirect
371. #10587502C23semidirect
372. #10587502C23semidirect
373. #10587502C23semidirect
374. #10587502C23semidirect
375. #10587502C23semidirect
376. #10587502C23semidirect
377. #10587502C23semidirect
378. #10587502C23semidirect
379. #10587502C23semidirect
380. #10587502C23semidirect
840. #2846D17semidirect
1334. C17#36725semidirect

Maximal subgroups

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

subgroupindex
#145370612
#145358302
#145358252
#145358212
#145353472
#145353452
#145351792
#145351752
#145351712
#145351642
#145351622
#145351092
#145351052
#145350062
#145349882
#145345932
#145345222
#145330292
#145330272
#145329092
#145329072
#145323242
#145323162
#145322502
#145322422
#145314452
#145314392
C2×#117626652
C17×#28462
#3672517