Finite Group Databasebeta

← #17243116

Subgroups — #17243116

Order 4352.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537066C211yesmaximal, characteristic, complemented
2#14536726C211yesmaximal, characteristic, complemented
3#14536641C211yesmaximal, characteristic, complemented
4#14536534C211yesmaximal, characteristic, complemented
5#14536482C211yesmaximal, characteristic, complemented
6#14536427C211yesmaximal, characteristic, complemented
7#14536403C211yesmaximal, characteristic, complemented
8#14536033C211yesmaximal, characteristic, complemented
9#14536018C211yesmaximal, characteristic, complemented
10#14535953C211yesmaximal, characteristic, complemented
11#14535583C211yesmaximal, characteristic, complemented
12#14535522C211yesmaximal, characteristic, complemented
13#14535505C211yesmaximal, characteristic, complemented
14#14535498C211yesmaximal, characteristic, complemented
15#14535315C211yesmaximal, characteristic, complemented
16#14535190C211yesmaximal, characteristic, complemented
17#14535149C211yesmaximal, characteristic, complemented
18#14534740C211yesmaximal, characteristic, complemented
19#14534714C211yesmaximal, characteristic, complemented
20#14533050C211yesmaximal, characteristic, complemented
21#14532907C211yesmaximal, characteristic, complemented
22#14532523C211yesmaximal, characteristic, complemented
23#14532458C211yesmaximal, characteristic, complemented
24#14532392C211yesmaximal, characteristic, complemented
25#14532316C211yesmaximal, characteristic, complemented
26#14532171C211yesmaximal, characteristic, complemented
27#14532100C211yesmaximal, characteristic, complemented
28#14531452C211yesmaximal, characteristic, complemented
29#14531371C211yesmaximal, characteristic, complemented
30C2×#11762682C211yesmaximal, characteristic, complemented
31C17×#2849C211yesmaximal, characteristic, complemented
32C22×#63254C2211yescharacteristic
33C2×#10587565C2211yescharacteristic, complemented
34C2×#10587571C2211yescharacteristic
35C2×#10587580C2211yescharacteristic, complemented
36C2×#10587572C2211yescharacteristic
37C2×#10587564C2211yescharacteristic
38C2×#10587616C2211yescharacteristic
39C2×#10587616C2211yescharacteristic
40C2×#10587616C2211yescharacteristic
41C2×#10587625C2211yescharacteristic
42C2×#10587624C2211yescharacteristic
43C2×#10587639C2211yescharacteristic
44C2×#10587639C2211yescharacteristic
45C2×#10587567C2211yescharacteristic
46C2×#10587563C2211yescharacteristic
47C22×#63225C2211yescharacteristic
48C22×#63225C2211yescharacteristic
49C22×C22⋊Dic17C2211yescharacteristic
50C22×C22⋊Dic17C2211yescharacteristic
51C17⋊#401C2211yescharacteristic, complemented
52#11762751C2211yescharacteristic, complemented
53#11762751C2211yescharacteristic, complemented
54#11762750C2211yescharacteristic, complemented
55#11762750C2211yescharacteristic, complemented
56#11762749C2211yescharacteristic, complemented
57#11762749C2211yescharacteristic, complemented
58#11762748C2211yescharacteristic, complemented
59#11762747C2211yescharacteristic, complemented
60#11762744C2211yescharacteristic, complemented
61#11762742C2211yescharacteristic, complemented
62#11762739C2211yescharacteristic, complemented
63#11762739C2211yescharacteristic, complemented
64#11762738C2211yescharacteristic, complemented
65#11762738C2211yescharacteristic, complemented
66#11762738C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic
68#11762737C2211yescharacteristic, complemented
69#11762737C2211yescharacteristic, complemented
70#11762736C2211yescharacteristic, complemented
71#11762735C2211yescharacteristic, complemented
72#11762732C2211yescharacteristic
73#11762732C2211yescharacteristic
74#11762732C2211yescharacteristic
75#11762732C2211yescharacteristic, complemented
76#11762731C2211yescharacteristic, complemented
77#11762730C2211yescharacteristic, complemented
78#11762730C2211yescharacteristic, complemented
79#11762727C2211yescharacteristic, complemented
80#11762725C2211yescharacteristic
81#11762725C2211yescharacteristic
82#11762725C2211yescharacteristic, complemented
83#11762725C2211yescharacteristic, complemented
84#11762724C2211yescharacteristic
85#11762724C2211yescharacteristic
86#11762724C2211yescharacteristic
87#11762724C2211yescharacteristic, complemented
88#11762723C2211yescharacteristic
89#11762722C2211yescharacteristic, complemented
90#11762722C2211yescharacteristic, complemented
91#11762721C2211yescharacteristic
92#11762721C2211yescharacteristic
93#11762721C2211yescharacteristic
94#11762721C2211yescharacteristic, complemented
95#11762718C2211yescharacteristic, complemented
96#11762717C2211yescharacteristic
97#11762717C2211yescharacteristic
98#11762717C2211yescharacteristic
99#11762714C2211yescharacteristic, complemented
100#11762713C2211yescharacteristic, complemented
101#11762713C2211yescharacteristic, complemented
102#11762712C2211yescharacteristic
103#11762709C2211yescharacteristic
104#11762709C2211yescharacteristic
105#11762709C2211yescharacteristic
106#11762709C2211yescharacteristic, complemented
107#11762709C2211yescharacteristic, complemented
108#11762708C2211yescharacteristic, complemented
109#11762705C2211yescharacteristic, complemented
110#11762705C2211yescharacteristic, complemented
111#11762702C2211yescharacteristic
112#11762702C2211yescharacteristic
113#11762702C2211yescharacteristic
114#11762698C2211yescharacteristic, complemented
115#11762698C2211yescharacteristic, complemented
116#11762698C2211yescharacteristic, complemented
117#11762697C2211yescharacteristic
118#11762697C2211yescharacteristic
119#11762697C2211yescharacteristic, complemented
120#11762696C2211yescharacteristic, complemented
121#11762696C2211yescharacteristic, complemented
122#11762694C2211yescharacteristic, complemented
123#11762694C2211yescharacteristic, complemented
124#11762692C2211yescharacteristic, complemented
125#11762692C2211yescharacteristic, complemented
126#11762691C2211yescharacteristic, complemented
127#11762689C2211yescharacteristic
128#11762689C2211yescharacteristic
129#11762689C2211yescharacteristic
130#11762689C2211yescharacteristic
131#11762688C2211yescharacteristic
132#11762688C2211yescharacteristic
133#11762688C2211yescharacteristic
134#11762688C2211yescharacteristic
135#11762688C2211yescharacteristic
136#11762688C2211yescharacteristic
137#11762687C2211yescharacteristic, complemented
138#11762686C2211yescharacteristic
139#11762686C2211yescharacteristic
140#11762686C2211yescharacteristic
141#11762686C2211yescharacteristic
142#11762686C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic
144#11762685C2211yescharacteristic
145#11762685C2211yescharacteristic
146#11762684C2211yescharacteristic
147#11762684C2211yescharacteristic, complemented
148#11762683C2211yescharacteristic, complemented
149#11762682C2211yescharacteristic
150#11762682C2211yescharacteristic
151#11762682C2211yescharacteristic
152#11762682C2211yescharacteristic
153#11762682C2211yescharacteristic
154#11762682C2211yescharacteristic
155#11762682C2211yescharacteristic
156#11762682C2211yescharacteristic
157#11762681C2211yescharacteristic
158#11762680C2211yescharacteristic, complemented
159#11762680C2211yescharacteristic, complemented
160#11762680C2211yescharacteristic, complemented
161#11762670C2211yescharacteristic
162#11762669C2211yescharacteristic
163#11762669C2211yescharacteristic
164#11762669C2211yescharacteristic
165#11762668C2211yescharacteristic, complemented
166#11762668C2211yescharacteristic, complemented
167#11762667C2211yescharacteristic, complemented
168#11762667C2211yescharacteristic, complemented
169C22⋊C4×Dic17C2211yescharacteristic
170C2×#10587502C2211yescharacteristic
171C2×#10587502C2211yescharacteristic
172C24×C4×C17C2211yescharacteristic
173C2×C17×#123C2211yescharacteristic
174C2×C17×#123C2211yescharacteristic
175C2×C17×#120C2211yescharacteristic
176C17×#386C2211yescharacteristic
177C17×#386C2211yescharacteristic
178C17×#386C2211yescharacteristic
179C17×#386C2211yescharacteristic
180C17×#385C2211yescharacteristic
181C17×#385C2211yescharacteristic
182C17×#385C2211yescharacteristic
183C17×#385C2211yescharacteristic
184C17×#381C2211yescharacteristic
185C17×#381C2211yescharacteristic
186C17×#379C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C22×D4×C17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C23×C4×C17—42no—
192C23×C4×C17—42no—
193C23×C4×C17—42no—
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C23×Dic17C2311yescharacteristic
209C23×Dic17C2311yescharacteristic
210C23×Dic17C2311yescharacteristic
211C23×Dic17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C2×#63254—24no—
214C2×#63254—42no—
215C2×#63254—42no—
216C22×D68C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×Dic34C2311yescharacteristic
220C22×Dic34C2311yescharacteristic
221C17×#123—42no—
222C17×#123—42no—
223C17×#120—42no—
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
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
241#10587639—42no—
242#10587639—42no—
243C2×C22⋊Dic17—24no—
244C2×C22⋊Dic17—42no—
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264#10587625—42no—
265#10587624—42no—
266#10587616—42no—
267#10587616—42no—
268#10587616—42no—
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×C4⋊Dic17C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×#63225—42no—
296C2×#63225—42no—
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318#10587580—42no—
319#10587572—24no—
320#10587571—42no—
321#10587567—42no—
322#10587565—42no—
323#10587564—42no—
324#10587563—42no—
325C17×#95C2311yescharacteristic
326C17×#95C2311yescharacteristic
327C17×#95C2311yescharacteristic
328C17×#95C2311yescharacteristic
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333#10587502C2311yescharacteristic
334#10587502C2311yescharacteristic
335#10587502C2311yescharacteristic
336#10587502C2311yescharacteristic
337#10587502C2311yescharacteristic
338#10587502C2311yescharacteristic
339#10587502C2311yescharacteristic
340#10587502C2311yescharacteristic
341#10587502C2311yescharacteristic
342#10587502C2311yescharacteristic
343#10587502C2311yescharacteristic
344#10587502C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
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
369C24×C17—22no—
370C24×C17—22no—
371C24×C17—22no—
372C24×C17—22no—
373C24×C17—22no—
374C24×C17—41no—
375C24×C17—41no—
376C24×C17C2411yescharacteristic
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C24×C17C2411yescharacteristic
380C23×D17C2411yescharacteristic
381C23×D17C2411yescharacteristic
382C2×D4×C17—22no—
383C2×D4×C17—22no—
384C2×D4×C17—22no—
385C2×D4×C17—22no—
386C2×D4×C17—22no—
387C2×D4×C17—41no—
388C2×D4×C17—41no—
389C2×D4×C17—41no—
390C2×D4×C17—41no—
391C22×C4×C17—22no—
392C22×C4×C17—22no—
393C22×C4×C17—22no—
394C22×C4×C17—22no—
395C22×C4×C17—22no—
396C22×C4×C17—22no—
397C22×C4×C17—22no—
398C22×C4×C17—41no—
399C22×C4×C17—41no—
400C22×C4×C17—41no—
401C22×C4×C17—41no—
402C22×C4×C17—41no—
403C22×C4×C17—41no—
404C22×C4×C17—41no—
405C22×C4×C17—41no—
406C22×C4×C17—41no—
407C22×C4×C17—41no—
408C22×C4×C17—41no—
409C22×C4×C17—416no—
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
419C22×C4×C17C2411yescharacteristic
420C22×C4×C17C2411yescharacteristic
421C2×C22⋊D17—22no—
422C2×C22⋊D17—22no—
423C2×C22⋊D17—22no—
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—22no—
427C2×C22⋊D17—22no—
428C2×C22⋊D17—22no—
429C2×C22⋊D17—22no—
430C2×C22⋊D17—22no—
431C2×C22⋊D17—22no—
432C2×C22⋊D17—41no—
433C2×C22⋊D17—41no—
434C2×C22⋊D17—41no—
435C2×C22⋊D17—41no—
436C2×C22⋊D17—41no—
437C2×C22⋊D17—41no—
438C2×C22⋊D17—41no—
439C2×C22⋊D17—41no—
440C2×C22⋊D17—41no—
441C2×C22⋊D17—41no—
442C2×C22⋊D17—41no—
443C2×C22⋊D17—41no—
444C2×C22⋊D17—41no—
445C22×Dic17—22no—
446C22×Dic17—22no—
447C22×Dic17—22no—
448C22×Dic17—22no—
449C22×Dic17—22no—
450C22×Dic17—22no—
451C22×Dic17—41no—
452C22×Dic17—41no—
453C22×Dic17—41no—
454C22×Dic17—41no—
455C22×Dic17—41no—
456C22×Dic17—41no—
457C22×Dic17—41no—
458C22×Dic17—41no—
459C22×Dic17#4114yes—
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470C22×Dic17C2411yescharacteristic
471C22×Dic17C2411yescharacteristic
472C22×Dic17C2411yescharacteristic
473C22×Dic17C2411yescharacteristic
474#63254—416no—
475C2×D68—22no—
476C2×D68—41no—
477C2×D68—41no—
478C2×C4×D17—22no—
479C2×C4×D17—41no—
480C2×C4×D17—41no—
481C2×C4×D17—41no—
482C2×C4×D17—41no—
483C2×C4×D17—41no—
484C2×Dic34—22no—
485C2×Dic34—41no—
486C2×Dic34—41no—
487C2×Dic34—41no—
488C2×Dic34—41no—
489C2×Dic34—41no—
490C4⋊C4×C17—22no—
491C4⋊C4×C17—41no—
492C4⋊C4×C17—41no—
493C4⋊C4×C17—41no—
494C22⋊C4×C17—22no—
495C22⋊C4×C17—22no—
496C22⋊C4×C17—22no—
497C22⋊C4×C17—22no—
498C22⋊C4×C17—22no—
499C22⋊C4×C17—22no—
500C22⋊C4×C17—41no—
501C22⋊C4×C17—41no—
502C22⋊C4×C17—41no—
503C22⋊C4×C17—41no—
504C22⋊C4×C17—41no—
505C22⋊C4×C17—41no—
506C22⋊C4×C17—41no—
507C22⋊Dic17—22no—
508C22⋊Dic17—22no—
509C22⋊Dic17—22no—
510C22⋊Dic17—22no—
511C22⋊Dic17—22no—
512C22⋊Dic17—22no—
513C22⋊Dic17—22no—
514C22⋊Dic17—22no—
515C22⋊Dic17—41no—
516C22⋊Dic17—41no—
517C22⋊Dic17—41no—
518C22⋊Dic17—41no—
519C22⋊Dic17—41no—
520C22⋊Dic17—41no—
521C22⋊Dic17—41no—
522C22⋊Dic17—41no—
523C22⋊Dic17—41no—
524C22⋊Dic17—41no—
525C22⋊Dic17—41no—
526#63227—22no—
527#63227—22no—
528#63227—41no—
529#63227—41no—
530#63227—41no—
531#63227—41no—
532#63227—41no—
533#63227—41no—
534#63227—41no—
535#63227—41no—
536#63227—41no—
537#63227—41no—
538#63227—41no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542#63227—41no—
543#63227—41no—
544C4⋊Dic17—22no—
545C4⋊Dic17—22no—
546C4⋊Dic17—22no—
547C4⋊Dic17—41no—
548C4⋊Dic17—41no—
549C4⋊Dic17—41no—
550C4⋊Dic17—41no—
551C4⋊Dic17—41no—
552#63225—22no—
553#63225—22no—
554#63225—41no—
555#63225—41no—
556#63225—41no—
557#63225—41no—
558#63225—41no—
559#63225—41no—
560#63225—41no—
561#63225—41no—
562#63225—41no—
563#63225—41no—
564#63225—41no—
565#63225—41no—
566#63225—41no—
567#63225—41no—
568C4×Dic17—41no—
569C4×Dic17—41no—
570C4×Dic17—41no—
571C4×Dic17—41no—
572C4×Dic17—41no—
573#36791—171nomaximal, Sylow
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17—21no—
578C23×C17—28no—
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17—21no—
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—44no—
599C23×C17—44no—
600C23×C17—44no—
601C23×C17—44no—
602C23×C17—44no—
603C23×C17—44no—
604C23×C17C2×#4112yes—
605C23×C17H(5,𝔽2)12yes—
606C23×C17H(5,𝔽2)12yes—
607C23×C17H(5,𝔽2)12yes—
608C23×C172−1+412yes—
609C23×C17C2511yescharacteristic
610C22×D17—21no—
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—21no—
615C22×D17—21no—
616C22×D17—21no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624D4×C17—44no—
625D4×C17—82no—
626D4×C17—82no—
627C2×C4×C17—21no—
628C2×C4×C17—21no—
629C2×C4×C17—21no—
630C2×C4×C17—21no—
631C2×C4×C17—21no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—44no—
660C2×C4×C17—44no—
661C2×C4×C17—44no—
662C2×C4×C17—44no—
663C2×C4×C17—44no—
664C2×C4×C17—44no—
665C2×C4×C17H(5,𝔽2)12yes—
666C22⋊D17—44no—
667C22⋊D17—44no—
668C22⋊D17—44no—
669C22⋊D17—82no—
670C22⋊D17—82no—
671C22⋊D17—82no—
672C22⋊D17—82no—
673C22⋊D17—82no—
674C2×Dic17—28no—
675C2×Dic17—21no—
676C2×Dic17—21no—
677C2×Dic17—21no—
678C2×Dic17—21no—
679C2×Dic17—21no—
680C2×Dic17—21no—
681C2×Dic17—21no—
682C2×Dic17—21no—
683C2×Dic17—21no—
684C2×Dic17—21no—
685C2×Dic17—21no—
686C2×Dic17—21no—
687C2×Dic17—21no—
688C2×Dic17—21no—
689C2×Dic17—21no—
690C2×Dic17—21no—
691C2×Dic17—21no—
692C2×Dic17—21no—
693C2×Dic17—21no—
694C2×Dic17—21no—
695C2×Dic17—21no—
696C2×Dic17—21no—
697C2×Dic17—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—44no—
716C2×Dic17—44no—
717C2×Dic17—82no—
718C2×Dic17—82no—
719C2×Dic17C2×#4112yes—
720C2×Dic17C2×#4112yes—
721D68—82no—
722C4×D17—44no—
723C4×D17—82no—
724Dic34—44no—
725Dic34—82no—
726#2849D1711yescharacteristic, complemented
727#2847—171no—
728#2804—171no—
729#2797—171no—
730#2788—171no—
731#2784—171no—
732#2780—171no—
733#2778—171no—
734#2751—171no—
735#2750—171no—
736#2745—171no—
737#2714—171no—
738#2710—171no—
739#2708—171no—
740#2708—171no—
741#2695—171no—
742#2686—171no—
743#2682—171no—
744#2643—171no—
745#2639—171no—
746#2481—171no—
747#2472—171no—
748#2443—171no—
749#2438—171no—
750#2430—171no—
751#2424—171no—
752#2411—171no—
753#2404—171no—
754#2322—171no—
755#2311—171no—
756C2×#385—171no—
757C22×C17—22no—
758C22×C17—22no—
759C22×C17—22no—
760C22×C17—22no—
761C22×C17—22no—
762C22×C17—22no—
763C22×C17—22no—
764C22×C17—22no—
765C22×C17—22no—
766C22×C17—22no—
767C22×C17—22no—
768C22×C17—22no—
769C22×C17—416no—
770C22×C17—41no—
771C22×C17—41no—
772C22×C17—41no—
773C22×C17—41no—
774C22×C17—41no—
775C22×C17—41no—
776C22×C17—41no—
777C22×C17—41no—
778C22×C17—41no—
779C22×C17—41no—
780C22×C17—41no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17#53814yes—
786C22×C17C22×#4111yescharacteristic
787C22×C17C2×H(5,𝔽2)11yescharacteristic
788C22×C17C2×H(5,𝔽2)11yescharacteristic
789C22×C17C2×H(5,𝔽2)11yescharacteristic
790C22×C17C2×H(5,𝔽2)11yescharacteristic
791C22×C17C2×2−1+411yescharacteristic
792C22×C17#58511yescharacteristic
793C2×D17—41no—
794C2×D17—41no—
795C2×D17—41no—
796C2×D17—41no—
797C2×D17—41no—
798C2×D17—41no—
799C2×D17—41no—
800C2×D17—41no—
801C2×D17—41no—
802C2×D17—41no—
803C2×D17—41no—
804C2×D17—41no—
805C2×D17—41no—
806C2×D17—41no—
807C4×C17—22no—
808C4×C17—41no—
809C4×C17—41no—
810C4×C17—41no—
811C4×C17—41no—
812C4×C17—41no—
813C4×C17—41no—
814C4×C17—41no—
815C4×C17—41no—
816C4×C17—41no—
817C4×C17—41no—
818Dic17—22no—
819Dic17—22no—
820Dic17—41no—
821Dic17—41no—
822Dic17—41no—
823Dic17—41no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829Dic17—41no—
830Dic17—41no—
831Dic17—41no—
832C22×#41—171no—
833C24×C4C2×D1711yescharacteristic
834C2×#126—171no—
835C2×#124—171no—
836C2×#123—171no—
837C2×#123—171no—
838C2×#123C2×D1711yescharacteristic
839C2×#123C2×D1711yescharacteristic
840C2×C22⋊Q8—171no—
841C2×#121—171no—
842C2×#121—171no—
843C2×#121—171no—
844C2×#121—171no—
845C2×#121—171no—
846C2×#120—171no—
847C2×#120—171no—
848C2×#120C2×D1711yescharacteristic
849C2×C4×D4—171no—
850C2×#117—171no—
851C22×C4⋊C4—171no—
852C22×C4⋊C4—171no—
853C22×C22⋊C4—171no—
854C22×C22⋊C4—171no—
855#401—171no—
856#400—171no—
857#400—171no—
858#400—171no—
859#400—171no—
860#400—171no—
861#400—171no—
862#400—171no—
863#400—171no—
864#399—171no—
865#398—171no—
866#398—171no—
867#398—171no—
868#397—171no—
869#397—171no—
870#397—171no—
871#397—171no—
872#397—171no—
873#397—171no—
874#397—171no—
875#397—171no—
876#396—171no—
877#396—171no—
878#396—171no—
879#396—171no—
880#396—171no—
881#395—171no—
882#395—171no—
883#394—171no—
884#394—171no—
885#394—171no—
886#394—171no—
887#394—171no—
888#394—171no—
889#394—171no—
890#394—171no—
891#394—171no—
892#394—171no—
893#393—171no—
894#393—171no—
895#393—171no—
896#393—171no—
897#393—171no—
898#393—171no—
899#392—171no—
900#392—171no—
901#392—171no—
902#392—171no—
903#391—171no—
904#391—171no—
905#391—171no—
906#390—171no—
907#390—171no—
908#390—171no—
909#390—171no—
910#390—171no—
911#390—171no—
912#389—171no—
913#389—171no—
914#389—171no—
915#388—171no—
916#388—171no—
917#388—171no—
918#388—171no—
919#388—171no—
920#388—171no—
921#388—171no—
922#388—171no—
923#388—171no—
924#387—171no—
925#387—171no—
926#387—171no—
927#387—171no—
928#387—171no—
929#387—171no—
930#387—171no—
931#386—171no—
932#386—171no—
933#386—171no—
934#386—171no—
935#386—171no—
936#386—171no—
937#386—171no—
938#386—171no—
939#386—171no—
940#386—171no—
941#386—171no—
942#386—171no—
943#386—171no—
944#386—171no—
945#386—171no—
946#386—171no—
947#386—171no—
948#386—171no—
949#386—171no—
950#386C2×D1711yescharacteristic
951#386C2×D1711yescharacteristic
952#386C2×D1711yescharacteristic
953#386C2×D1711yescharacteristic
954#385—171no—
955#385—171no—
956#385—171no—
957#385—171no—
958#385—171no—
959#385—171no—
960#385—171no—
961#385—171no—
962#385—171no—
963#385—171no—
964#385—171no—
965#385—171no—
966#385—171no—
967#385—171no—
968#385—171no—
969#385C2×D1711yescharacteristic
970#385C2×D1711yescharacteristic
971#385C2×D1711yescharacteristic
972#385C2×D1711yescharacteristic
973#381—171no—
974#381C2×D1711yescharacteristic
975#381C2×D1711yescharacteristic
976#380—171no—
977#380—171no—
978#380—171no—
979#380—171no—
980#380—171no—
981#380—171no—
982#380—171no—
983#379C2×D1711yescharacteristic
984C4×C22⋊C4—171no—
985C2×#95—171no—
986C2×#95—171no—
987C2×C17—24no—
988C2×C17—42no—
989C2×C17—42no—
990C2×C17—81no—
991C2×C17C2×#53811yescharacteristic
992C2×C17#349211yescharacteristic
993C2×C17#350611yescharacteristic
994C2×C17#353211yescharacteristic
995C2×C17#353411yescharacteristic
996C2×C17#353511yescharacteristic
997C2×C17#353611yescharacteristic
998D17—81no—
999D17—81no—
1000C25C22×D1711yescharacteristic
1001C2×#41—344no—
1002C2×#41—682no—
1003C2×#41—682no—
1004C22×Q8—171no—
1005C22×Q8—171no—
1006C22×D4—171no—
1007C22×D4—171no—
1008C22×D4—171no—
1009C22×D4—171no—
1010C22×D4—171no—
1011C22×D4—171no—
1012C22×D4—171no—
1013C22×D4—171no—
1014C22×D4—171no—
1015C22×D4C22×D1711yescharacteristic
1016C22×D4C22×D1711yescharacteristic
1017C22×D4C22×D1711yescharacteristic
1018C23×C4—42no—
1019C23×C4—42no—
1020C23×C4—42no—
1021C23×C4—171no—
1022C23×C4—171no—
1023C23×C4—171no—
1024C23×C4—171no—
1025C23×C4—171no—
1026C23×C4—171no—
1027C23×C4—171no—
1028C23×C4C22×D1711yescharacteristic
1029C23×C4C22×D1711yescharacteristic
1030C23×C4C22×D1711yescharacteristic
1031C23×C4C22×D1711yescharacteristic
1032C23×C4C22×D1711yescharacteristic
1033C23×C4C22×D1711yescharacteristic
1034#126—682no—
1035#124—682no—
1036#123—42no—
1037#123—42no—
1038#123—344no—
1039#123—682no—
1040C22⋊Q8—682no—
1041#121—682no—
1042#121—682no—
1043#121—682no—
1044#121—682no—
1045#121—682no—
1046#120—42no—
1047#120—682no—
1048#120—682no—
1049C4×D4—682no—
1050#117—682no—
1051C2×C4⋊C4—171no—
1052C2×C4⋊C4—171no—
1053C2×C4⋊C4—171no—
1054C2×C4⋊C4—171no—
1055C2×C4⋊C4—171no—
1056C2×C4⋊C4—171no—
1057C2×C4⋊C4—171no—
1058C2×C4⋊C4—171no—
1059C2×C4⋊C4—171no—
1060C2×C4⋊C4—171no—
1061C2×C4⋊C4—171no—
1062C2×C4⋊C4—171no—
1063C2×C4⋊C4—171no—
1064C2×C4⋊C4—171no—
1065C2×C4⋊C4—171no—
1066C2×C4⋊C4—171no—
1067C2×C4⋊C4—171no—
1068C2×C4⋊C4—171no—
1069C2×C4⋊C4—171no—
1070C2×C4⋊C4—171no—
1071C2×C4⋊C4—171no—
1072C2×C4⋊C4—171no—
1073C2×C4⋊C4—171no—
1074C2×C4⋊C4—171no—
1075C2×C4⋊C4—682no—
1076C2×C4⋊C4—682no—
1077C2×C4⋊C4C22×D1711yescharacteristic
1078C2×C4⋊C4C22×D1711yescharacteristic
1079C2×C4⋊C4C22×D1711yescharacteristic
1080C2×C4⋊C4C22×D1711yescharacteristic
1081C2×C22⋊C4—171no—
1082C2×C22⋊C4—171no—
1083C2×C22⋊C4—171no—
1084C2×C22⋊C4—171no—
1085C2×C22⋊C4—171no—
1086C2×C22⋊C4—171no—
1087C2×C22⋊C4—171no—
1088C2×C22⋊C4—171no—
1089C2×C22⋊C4—171no—
1090C2×C22⋊C4—171no—
1091C2×C22⋊C4—171no—
1092C2×C22⋊C4—171no—
1093C2×C22⋊C4—171no—
1094C2×C22⋊C4—171no—
1095C2×C22⋊C4—171no—
1096C2×C22⋊C4—171no—
1097C2×C22⋊C4—171no—
1098C2×C22⋊C4—171no—
1099C2×C22⋊C4—171no—
1100C2×C22⋊C4—171no—
1101C2×C22⋊C4—171no—
1102C2×C22⋊C4—171no—
1103C2×C22⋊C4—171no—
1104C2×C22⋊C4—171no—
1105C2×C22⋊C4—171no—
1106C2×C22⋊C4—171no—
1107C2×C22⋊C4—171no—
1108C2×C22⋊C4—171no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—171no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—171no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—171no—
1117C2×C22⋊C4—171no—
1118C2×C22⋊C4—344no—
1119C2×C22⋊C4—682no—
1120C2×C22⋊C4C22×D1711yescharacteristic
1121C2×C22⋊C4C22×D1711yescharacteristic
1122C2×C22⋊C4C22×D1711yescharacteristic
1123C2×C22⋊C4C22×D1711yescharacteristic
1124C2×C22⋊C4C22×D1711yescharacteristic
1125C2×C22⋊C4C22×D1711yescharacteristic
1126C2×C22⋊C4C22×D1711yescharacteristic
1127C2×C22⋊C4C22×D1711yescharacteristic
1128C2×C22⋊C4C22×D1711yescharacteristic
1129C2×C22⋊C4C22×D1711yescharacteristic
1130C2×C22⋊C4C22×D1711yescharacteristic
1131C2×C22⋊C4C22×D1711yescharacteristic
1132C2×C22⋊C4C22×D1711yescharacteristic
1133C2×C42—171no—
1134C2×C42—171no—
1135C2×C42—171no—
1136C2×C42—171no—
1137C2×C42—171no—
1138#95—171no—
1139#95—171no—
1140#95—171no—
1141#95—171no—
1142#95—171no—
1143#95—171no—
1144#95—171no—
1145#95—171no—
1146#95—171no—
1147#95—171no—
1148#95—171no—
1149#95—171no—
1150#95—171no—
1151#95—171no—
1152#95—171no—
1153#95—171no—
1154#95—171no—
1155#95—171no—
1156#95—171no—
1157#95—171no—
1158#95—171no—
1159#95—171no—
1160#95—171no—
1161#95—171no—
1162#95—171no—
1163#95—171no—
1164#95—171no—
1165#95—171no—
1166#95—171no—
1167#95—171no—
1168#95—171no—
1169#95—171no—
1170#95—171no—
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95C22×D1711yescharacteristic
1175#95C22×D1711yescharacteristic
1176#95C22×D1711yescharacteristic
1177#95C22×D1711yescharacteristic
1178#95C22×D1711yescharacteristic
1179#95C22×D1711yescharacteristic
1180#95C22×D1711yescharacteristic
1181#95C22×D1711yescharacteristic
1182C17#3679111yescharacteristic, complemented, Sylow
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—171no—
1191C24—171no—
1192C24C23×D1711yescharacteristic
1193C24C23×D1711yescharacteristic
1194C24C23×D1711yescharacteristic
1195C24C23×D1711yescharacteristic
1196#41—6816no—
1197C2×Q8—342no—
1198C2×Q8—681no—
1199C2×Q8—681no—
1200C2×Q8—681no—
1201C2×Q8—681no—
1202C2×Q8—681no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—342no—
1213C2×D4—342no—
1214C2×D4—342no—
1215C2×D4—342no—
1216C2×D4—342no—
1217C2×D4—342no—
1218C2×D4—342no—
1219C2×D4—342no—
1220C2×D4—342no—
1221C2×D4—342no—
1222C2×D4—342no—
1223C2×D4—342no—
1224C2×D4—681no—
1225C2×D4—681no—
1226C2×D4—681no—
1227C2×D4—681no—
1228C2×D4—681no—
1229C2×D4—681no—
1230C2×D4—681no—
1231C2×D4—681no—
1232C2×D4—681no—
1233C2×D4—681no—
1234C2×D4—681no—
1235C2×D4—681no—
1236C2×D4—681no—
1237C2×D4—681no—
1238C2×D4—681no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—416no—
1258C22×C4—174no—
1259C22×C4—171no—
1260C22×C4—171no—
1261C22×C4—171no—
1262C22×C4—171no—
1263C22×C4—171no—
1264C22×C4—171no—
1265C22×C4—171no—
1266C22×C4—171no—
1267C22×C4—171no—
1268C22×C4—171no—
1269C22×C4—171no—
1270C22×C4—171no—
1271C22×C4—171no—
1272C22×C4—171no—
1273C22×C4—342no—
1274C22×C4—342no—
1275C22×C4—342no—
1276C22×C4—342no—
1277C22×C4—342no—
1278C22×C4—342no—
1279C22×C4—342no—
1280C22×C4—681no—
1281C22×C4—681no—
1282C22×C4—681no—
1283C22×C4—681no—
1284C22×C4—681no—
1285C22×C4—681no—
1286C22×C4—681no—
1287C22×C4—681no—
1288C22×C4—681no—
1289C22×C4—681no—
1290C22×C4—681no—
1291C22×C4—681no—
1292C22×C4—681no—
1293C22×C4C23×D1711yescharacteristic
1294C22×C4C23×D1711yescharacteristic
1295C22×C4C23×D1711yescharacteristic
1296C22×C4C23×D1711yescharacteristic
1297C22×C4C23×D1711yescharacteristic
1298C22×C4C23×D1711yescharacteristic
1299C22×C4C23×D1711yescharacteristic
1300C22×C4C23×D1711yescharacteristic
1301C22×C4C23×D1711yescharacteristic
1302C22×C4C23×D1711yescharacteristic
1303C22×C4C23×D1711yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—342no—
1309C4⋊C4—342no—
1310C4⋊C4—342no—
1311C4⋊C4—342no—
1312C4⋊C4—342no—
1313C4⋊C4—681no—
1314C4⋊C4—681no—
1315C4⋊C4—681no—
1316C4⋊C4—681no—
1317C4⋊C4—681no—
1318C4⋊C4—681no—
1319C4⋊C4—681no—
1320C4⋊C4—681no—
1321C4⋊C4—681no—
1322C4⋊C4—681no—
1323C4⋊C4—681no—
1324C4⋊C4—681no—
1325C4⋊C4—681no—
1326C4⋊C4—681no—
1327C4⋊C4—681no—
1328C4⋊C4—681no—
1329C4⋊C4—681no—
1330C4⋊C4—681no—
1331C4⋊C4—681no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—342no—
1346C22⋊C4—342no—
1347C22⋊C4—342no—
1348C22⋊C4—342no—
1349C22⋊C4—342no—
1350C22⋊C4—342no—
1351C22⋊C4—342no—
1352C22⋊C4—342no—
1353C22⋊C4—342no—
1354C22⋊C4—342no—
1355C22⋊C4—681no—
1356C22⋊C4—681no—
1357C22⋊C4—681no—
1358C22⋊C4—681no—
1359C22⋊C4—681no—
1360C22⋊C4—681no—
1361C22⋊C4—681no—
1362C22⋊C4—681no—
1363C22⋊C4—681no—
1364C22⋊C4—681no—
1365C22⋊C4—681no—
1366C22⋊C4—681no—
1367C22⋊C4—681no—
1368C22⋊C4—681no—
1369C22⋊C4—681no—
1370C22⋊C4—681no—
1371C22⋊C4—681no—
1372C22⋊C4—681no—
1373C22⋊C4—681no—
1374C22⋊C4—681no—
1375C22⋊C4—681no—
1376C22⋊C4—681no—
1377C22⋊C4—681no—
1378C22⋊C4—681no—
1379C22⋊C4—681no—
1380C22⋊C4—681no—
1381C22⋊C4—681no—
1382C42—681no—
1383C42—681no—
1384C42—681no—
1385C42—681no—
1386C42—681no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—28no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—341no—
1418C23—341no—
1419C23—341no—
1420C23—341no—
1421C23—341no—
1422C23—341no—
1423C23—341no—
1424C23—341no—
1425C23—341no—
1426C23—341no—
1427C23—341no—
1428C23—341no—
1429C23—341no—
1430C23—341no—
1431C23#1058769112yes—
1432C23#1058769112yes—
1433C23#41×D1712yes—
1434C23#1058769612yes—
1435C23#1058769712yes—
1436C23C24×D1711yescharacteristic
1437Q8—684no—
1438Q8—1362no—
1439D4—44no—
1440D4—82no—
1441D4—82no—
1442D4—684no—
1443D4—684no—
1444D4—684no—
1445D4—1362no—
1446D4—1362no—
1447D4—1362no—
1448D4—1362no—
1449D4—1362no—
1450D4—1362no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—172no—
1490C2×C4—172no—
1491C2×C4—341no—
1492C2×C4—341no—
1493C2×C4—341no—
1494C2×C4—341no—
1495C2×C4—348no—
1496C2×C4—341no—
1497C2×C4—341no—
1498C2×C4—341no—
1499C2×C4—341no—
1500C2×C4—341no—
1501C2×C4—341no—
1502C2×C4—341no—
1503C2×C4—341no—
1504C2×C4—341no—
1505C2×C4—341no—
1506C2×C4—341no—
1507C2×C4—341no—
1508C2×C4—341no—
1509C2×C4—341no—
1510C2×C4—341no—
1511C2×C4—341no—
1512C2×C4—341no—
1513C2×C4—341no—
1514C2×C4—341no—
1515C2×C4—341no—
1516C2×C4—341no—
1517C2×C4—341no—
1518C2×C4—341no—
1519C2×C4—341no—
1520C2×C4—341no—
1521C2×C4—341no—
1522C2×C4—341no—
1523C2×C4—341no—
1524C2×C4—341no—
1525C2×C4—341no—
1526C2×C4—341no—
1527C2×C4—341no—
1528C2×C4—341no—
1529C2×C4—341no—
1530C2×C4—341no—
1531C2×C4—341no—
1532C2×C4—684no—
1533C2×C4—684no—
1534C2×C4—684no—
1535C2×C4—1362no—
1536C2×C4—1362no—
1537C2×C4—1362no—
1538C2×C4#1058769112yes—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—416no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—681no—
1568C22—681no—
1569C22—681no—
1570C22—681no—
1571C22—681no—
1572C22—681no—
1573C22—681no—
1574C22—681no—
1575C22—681no—
1576C22—681no—
1577C22—681no—
1578C22—681no—
1579C22—681no—
1580C22—681no—
1581C22#1176339514yes—
1582C22C2×#41×D1711yescharacteristic
1583C22C2×#1058769111yescharacteristic
1584C22C2×#1058769111yescharacteristic
1585C22C2×#1058769111yescharacteristic
1586C22C2×#1058769611yescharacteristic
1587C22C2×#1058769711yescharacteristic
1588C22#1176364511yescharacteristic
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—342no—
1601C4—342no—
1602C4—681no—
1603C4—681no—
1604C4—681no—
1605C4—681no—
1606C4—681no—
1607C4—681no—
1608C4—681no—
1609C4—681no—
1610C4—681no—
1611C4—681no—
1612C4—681no—
1613C4—681no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—1361no—
1619C2—1361no—
1620C2C2×#1176339511yescharacteristic
1621C2#1454248511yescharacteristic
1622C2#1454262711yescharacteristic
1623C2#1454293911yescharacteristic
1624C2#1454296811yescharacteristic
1625C2#1454299711yescharacteristic
1626C2#1454301111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2849C2
hypercenter#2849D17
hypocenterC17#36791
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. #14537066C2semidirect
2. #14536726C2semidirect
3. #14536641C2semidirect
4. #14536534C2semidirect
5. #14536482C2semidirect
6. #14536427C2semidirect
7. #14536403C2semidirect
8. #14536033C2semidirect
9. #14536018C2semidirect
10. #14535953C2semidirect
11. #14535583C2semidirect
12. #14535522C2semidirect
13. #14535505C2semidirect
14. #14535498C2semidirect
15. #14535315C2semidirect
16. #14535190C2semidirect
17. #14535149C2semidirect
18. #14534740C2semidirect
19. #14534714C2semidirect
20. #14533050C2semidirect
21. #14532907C2semidirect
22. #14532523C2semidirect
23. #14532458C2semidirect
24. #14532392C2semidirect
25. #14532316C2semidirect
26. #14532171C2semidirect
27. #14532100C2semidirect
28. #14531452C2semidirect
29. #14531371C2semidirect
30. C2×#11762682C2semidirect
31. C17×#2849C2semidirect
33. C2×#10587565C22semidirect
35. C2×#10587580C22semidirect
51. C17⋊#401C22semidirect
52. #11762751C22semidirect
53. #11762751C22semidirect
54. #11762750C22semidirect
55. #11762750C22semidirect
56. #11762749C22semidirect
57. #11762749C22semidirect
58. #11762748C22semidirect
59. #11762747C22semidirect
60. #11762744C22semidirect
61. #11762742C22semidirect
62. #11762739C22semidirect
63. #11762739C22semidirect
64. #11762738C22semidirect
65. #11762738C22semidirect
66. #11762738C22semidirect
68. #11762737C22semidirect
69. #11762737C22semidirect
70. #11762736C22semidirect
71. #11762735C22semidirect
75. #11762732C22semidirect
76. #11762731C22semidirect
77. #11762730C22semidirect
78. #11762730C22semidirect
79. #11762727C22semidirect
82. #11762725C22semidirect
83. #11762725C22semidirect
87. #11762724C22semidirect
89. #11762722C22semidirect
90. #11762722C22semidirect
94. #11762721C22semidirect
95. #11762718C22semidirect
99. #11762714C22semidirect
100. #11762713C22semidirect
101. #11762713C22semidirect
106. #11762709C22semidirect
107. #11762709C22semidirect
108. #11762708C22semidirect
109. #11762705C22semidirect
110. #11762705C22semidirect
114. #11762698C22semidirect
115. #11762698C22semidirect
116. #11762698C22semidirect
119. #11762697C22semidirect
120. #11762696C22semidirect
121. #11762696C22semidirect
122. #11762694C22semidirect
123. #11762694C22semidirect
124. #11762692C22semidirect
125. #11762692C22semidirect
126. #11762691C22semidirect
137. #11762687C22semidirect
142. #11762686C22semidirect
147. #11762684C22semidirect
148. #11762683C22semidirect
158. #11762680C22semidirect
159. #11762680C22semidirect
160. #11762680C22semidirect
165. #11762668C22semidirect
166. #11762668C22semidirect
167. #11762667C22semidirect
168. #11762667C22semidirect
726. #2849D17semidirect
1182. C17#36791semidirect

Maximal subgroups

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

subgroupindex
#145370662
#145367262
#145366412
#145365342
#145364822
#145364272
#145364032
#145360332
#145360182
#145359532
#145355832
#145355222
#145355052
#145354982
#145353152
#145351902
#145351492
#145347402
#145347142
#145330502
#145329072
#145325232
#145324582
#145323922
#145323162
#145321712
#145321002
#145314522
#145313712
C2×#117626822
C17×#28492
#3679117