Finite Group Databasebeta

← #17242682

Subgroups — #17242682

Order 4352.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537066C211yesmaximal, characteristic, complemented
2#14536436C211yesmaximal, characteristic, complemented
3#14536430C211yesmaximal, characteristic, complemented
4#14536261C211yesmaximal, characteristic, complemented
5#14536167C211yesmaximal, characteristic, complemented
6#14536055C211yesmaximal, characteristic, complemented
7#14536001C211yesmaximal, characteristic, complemented
8#14535993C211yesmaximal, characteristic, complemented
9#14535920C211yesmaximal, characteristic, complemented
10#14535854C211yesmaximal, characteristic, complemented
11#14535544C211yesmaximal, characteristic, complemented
12#14535483C211yesmaximal, characteristic, complemented
13#14535466C211yesmaximal, characteristic, complemented
14#14535397C211yesmaximal, characteristic, complemented
15#14535391C211yesmaximal, characteristic, complemented
16#14535221C211yesmaximal, characteristic, complemented
17#14535020C211yesmaximal, characteristic, complemented
18#14534570C211yesmaximal, characteristic, complemented
19#14534532C211yesmaximal, characteristic, complemented
20#14533712C211yesmaximal, characteristic, complemented
21#14533677C211yesmaximal, characteristic, complemented
22#14532507C211yesmaximal, characteristic, complemented
23#14532333C211yesmaximal, characteristic, complemented
24#14532324C211yesmaximal, characteristic, complemented
25#14532259C211yesmaximal, characteristic, complemented
26#14532250C211yesmaximal, characteristic, complemented
27#14532223C211yesmaximal, characteristic, complemented
28#14531485C211yesmaximal, characteristic, complemented
29#14531412C211yesmaximal, characteristic, complemented
30C2×#11762682C211yesmaximal, characteristic, complemented
31C17×#2849C211yesmaximal, characteristic, complemented
32C2×#10587575C2211yescharacteristic, complemented
33C2×#10587572C2211yescharacteristic
34C2×#10587572C2211yescharacteristic
35C2×#10587569C2211yescharacteristic
36C2×#10587621C2211yescharacteristic
37C2×#10587616C2211yescharacteristic
38C2×#10587616C2211yescharacteristic
39C2×#10587616C2211yescharacteristic
40C2×#10587570C2211yescharacteristic, complemented
41C2×#10587625C2211yescharacteristic
42C2×#10587625C2211yescharacteristic
43C2×#10587625C2211yescharacteristic
44C2×#10587639C2211yescharacteristic
45C2×#10587639C2211yescharacteristic
46C2×D4×Dic17C2211yescharacteristic
47C2×#10587567C2211yescharacteristic
48C2×#10587567C2211yescharacteristic
49C22×#63225C2211yescharacteristic
50C22×#63225C2211yescharacteristic
51C22×C22⋊Dic17C2211yescharacteristic
52C22×C22⋊Dic17C2211yescharacteristic
53#11762751C2211yescharacteristic, complemented
54#11762751C2211yescharacteristic, complemented
55#11762750C2211yescharacteristic, complemented
56#11762749C2211yescharacteristic, complemented
57#11762749C2211yescharacteristic, complemented
58#11762745C2211yescharacteristic
59#11762745C2211yescharacteristic
60#11762745C2211yescharacteristic
61#11762744C2211yescharacteristic, complemented
62#11762744C2211yescharacteristic, complemented
63#11762743C2211yescharacteristic, complemented
64#11762743C2211yescharacteristic, complemented
65#11762742C2211yescharacteristic, complemented
66#11762742C2211yescharacteristic, complemented
67#11762742C2211yescharacteristic, complemented
68#11762741C2211yescharacteristic, complemented
69#11762741C2211yescharacteristic, complemented
70#11762740C2211yescharacteristic, complemented
71#11762738C2211yescharacteristic, complemented
72#11762738C2211yescharacteristic, complemented
73#11762737C2211yescharacteristic
74#11762736C2211yescharacteristic, complemented
75#11762734C2211yescharacteristic, complemented
76#11762734C2211yescharacteristic, complemented
77#11762733C2211yescharacteristic, complemented
78#11762733C2211yescharacteristic, complemented
79#11762733C2211yescharacteristic, complemented
80#11762732C2211yescharacteristic
81#11762732C2211yescharacteristic
82#11762732C2211yescharacteristic
83#11762732C2211yescharacteristic, complemented
84#11762732C2211yescharacteristic, complemented
85#11762732C2211yescharacteristic, complemented
86#11762731C2211yescharacteristic, complemented
87#11762727C2211yescharacteristic, complemented
88#11762726C2211yescharacteristic, complemented
89#11762725C2211yescharacteristic
90#11762725C2211yescharacteristic
91#11762724C2211yescharacteristic
92#11762724C2211yescharacteristic
93#11762724C2211yescharacteristic
94#11762724C2211yescharacteristic, complemented
95#11762724C2211yescharacteristic, complemented
96#11762724C2211yescharacteristic, complemented
97#11762723C2211yescharacteristic
98#11762717C2211yescharacteristic
99#11762717C2211yescharacteristic
100#11762717C2211yescharacteristic
101#11762712C2211yescharacteristic
102#11762712C2211yescharacteristic
103#11762709C2211yescharacteristic
104#11762709C2211yescharacteristic
105#11762709C2211yescharacteristic
106#11762709C2211yescharacteristic, complemented
107#11762708C2211yescharacteristic, complemented
108#11762706C2211yescharacteristic, complemented
109#11762706C2211yescharacteristic, complemented
110#11762704C2211yescharacteristic, complemented
111#11762703C2211yescharacteristic
112#11762703C2211yescharacteristic
113#11762703C2211yescharacteristic, complemented
114#11762702C2211yescharacteristic
115#11762702C2211yescharacteristic
116#11762702C2211yescharacteristic
117#11762701C2211yescharacteristic, complemented
118#11762701C2211yescharacteristic, complemented
119#11762699C2211yescharacteristic, complemented
120#11762698C2211yescharacteristic, complemented
121#11762696C2211yescharacteristic, complemented
122#11762696C2211yescharacteristic, complemented
123#11762694C2211yescharacteristic, complemented
124#11762694C2211yescharacteristic, complemented
125#11762691C2211yescharacteristic, complemented
126#11762690C2211yescharacteristic, complemented
127#11762689C2211yescharacteristic
128#11762688C2211yescharacteristic
129#11762688C2211yescharacteristic
130#11762688C2211yescharacteristic
131#11762688C2211yescharacteristic
132#11762688C2211yescharacteristic
133#11762688C2211yescharacteristic
134#11762687C2211yescharacteristic, complemented
135#11762686C2211yescharacteristic
136#11762686C2211yescharacteristic
137#11762686C2211yescharacteristic, complemented
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic
140#11762685C2211yescharacteristic
141#11762685C2211yescharacteristic, complemented
142#11762684C2211yescharacteristic
143#11762684C2211yescharacteristic, complemented
144#11762683C2211yescharacteristic, complemented
145#11762682C2211yescharacteristic
146#11762682C2211yescharacteristic
147#11762682C2211yescharacteristic
148#11762682C2211yescharacteristic
149#11762682C2211yescharacteristic
150#11762682C2211yescharacteristic
151#11762682C2211yescharacteristic
152#11762682C2211yescharacteristic
153#11762681C2211yescharacteristic
154#11762681C2211yescharacteristic, complemented
155#11762676C2211yescharacteristic, complemented
156#11762674C2211yescharacteristic, complemented
157#11762673C2211yescharacteristic, complemented
158#11762671C2211yescharacteristic, complemented
159#11762670C2211yescharacteristic
160#11762670C2211yescharacteristic, complemented
161#11762669C2211yescharacteristic
162#11762669C2211yescharacteristic
163#11762669C2211yescharacteristic
164#11762668C2211yescharacteristic, complemented
165#11762667C2211yescharacteristic
166#11762667C2211yescharacteristic
167#11762666C2211yescharacteristic, complemented
168#11762666C2211yescharacteristic, 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
213C22×D68C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C17×#123—42no—
217C17×#123—42no—
218C17×#120—42no—
219C2×C4⋊C4×C17C2311yescharacteristic
220C2×C4⋊C4×C17C2311yescharacteristic
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C22⋊C4×C17C2311yescharacteristic
224C2×C22⋊C4×C17C2311yescharacteristic
225C2×C22⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2311yescharacteristic
227C2×C22⋊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
236#10587639—42no—
237#10587639—42no—
238C2×C22⋊Dic17—24no—
239C2×C22⋊Dic17—42no—
240C2×C22⋊Dic17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
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
259#10587625—24no—
260#10587625—42no—
261#10587625—42no—
262#10587621—42no—
263D4×Dic17—42no—
264#10587616—42no—
265#10587616—42no—
266#10587616—42no—
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
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×C4⋊Dic17C2311yescharacteristic
286C2×C4⋊Dic17C2311yescharacteristic
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×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322#10587575—42no—
323#10587572—42no—
324#10587572—42no—
325#10587570—42no—
326#10587569—42no—
327#10587567—24no—
328#10587567—42no—
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
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—41no—
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
474C2×D68—22no—
475C2×D68—41no—
476C2×D68—41no—
477C2×C4×D17—22no—
478C2×C4×D17—41no—
479C2×C4×D17—41no—
480C2×C4×D17—41no—
481C2×C4×D17—41no—
482C2×C4×D17—41no—
483C4⋊C4×C17—22no—
484C4⋊C4×C17—41no—
485C4⋊C4×C17—41no—
486C4⋊C4×C17—41no—
487C22⋊C4×C17—22no—
488C22⋊C4×C17—22no—
489C22⋊C4×C17—22no—
490C22⋊C4×C17—22no—
491C22⋊C4×C17—22no—
492C22⋊C4×C17—22no—
493C22⋊C4×C17—41no—
494C22⋊C4×C17—41no—
495C22⋊C4×C17—41no—
496C22⋊C4×C17—41no—
497C22⋊C4×C17—41no—
498C22⋊C4×C17—41no—
499C22⋊C4×C17—41no—
500C22⋊Dic17—22no—
501C22⋊Dic17—22no—
502C22⋊Dic17—22no—
503C22⋊Dic17—22no—
504C22⋊Dic17—22no—
505C22⋊Dic17—22no—
506C22⋊Dic17—22no—
507C22⋊Dic17—22no—
508C22⋊Dic17—22no—
509C22⋊Dic17—41no—
510C22⋊Dic17—41no—
511C22⋊Dic17—41no—
512C22⋊Dic17—41no—
513C22⋊Dic17—41no—
514C22⋊Dic17—41no—
515C22⋊Dic17—41no—
516C22⋊Dic17—41no—
517C22⋊Dic17—41no—
518C22⋊Dic17—41no—
519#63227—22no—
520#63227—22no—
521#63227—41no—
522#63227—41no—
523#63227—41no—
524#63227—41no—
525#63227—41no—
526#63227—41no—
527#63227—41no—
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—
537C4⋊Dic17—22no—
538C4⋊Dic17—41no—
539C4⋊Dic17—41no—
540C4⋊Dic17—41no—
541C4⋊Dic17—41no—
542C4⋊Dic17—41no—
543C4⋊Dic17—41no—
544C4⋊Dic17—41no—
545C4⋊Dic17—41no—
546C4⋊Dic17—41no—
547#63225—22no—
548#63225—22no—
549#63225—22no—
550#63225—22no—
551#63225—41no—
552#63225—41no—
553#63225—41no—
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—
567C4×Dic17—22no—
568C4×Dic17—41no—
569C4×Dic17—41no—
570C4×Dic17—41no—
571C4×Dic17—41no—
572#36777—171nomaximal, Sylow
573C23×C17—21no—
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17—28no—
578C23×C17—21no—
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—44no—
598C23×C17—44no—
599C23×C17—44no—
600C23×C17—44no—
601C23×C17—44no—
602C23×C17—44no—
603C23×C17C2×#4112yes—
604C23×C17H(5,𝔽2)12yes—
605C23×C17H(5,𝔽2)12yes—
606C23×C17H(5,𝔽2)12yes—
607C23×C172−1+412yes—
608C23×C17C2511yescharacteristic
609C22×D17—21no—
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—
623D4×C17—44no—
624D4×C17—82no—
625D4×C17—82no—
626C2×C4×C17—21no—
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—44no—
659C2×C4×C17—44no—
660C2×C4×C17—44no—
661C2×C4×C17—44no—
662C2×C4×C17—44no—
663C2×C4×C17—44no—
664C2×C4×C17H(5,𝔽2)12yes—
665C22⋊D17—44no—
666C22⋊D17—44no—
667C22⋊D17—82no—
668C22⋊D17—82no—
669C22⋊D17—82no—
670C22⋊D17—82no—
671C22⋊D17—82no—
672C22⋊D17—82no—
673C2×Dic17—21no—
674C2×Dic17—21no—
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—44no—
714C2×Dic17—44no—
715C2×Dic17—82no—
716C2×Dic17—82no—
717C2×Dic17—82no—
718C2×Dic17C2×#4112yes—
719C2×Dic17C2×#4112yes—
720D68—82no—
721C4×D17—82no—
722C4×D17—82no—
723#2849D1711yescharacteristic, complemented
724#2847—171no—
725#2780—171no—
726#2780—171no—
727#2768—171no—
728#2761—171no—
729#2753—171no—
730#2749—171no—
731#2748—171no—
732#2743—171no—
733#2738—171no—
734#2711—171no—
735#2707—171no—
736#2706—171no—
737#2701—171no—
738#2701—171no—
739#2688—171no—
740#2671—171no—
741#2623—171no—
742#2618—171no—
743#2539—171no—
744#2534—171no—
745#2442—171no—
746#2425—171no—
747#2424—171no—
748#2419—171no—
749#2418—171no—
750#2416—171no—
751#2325—171no—
752#2318—171no—
753C2×#385—171no—
754C22×C17—22no—
755C22×C17—22no—
756C22×C17—22no—
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—416no—
767C22×C17—41no—
768C22×C17—41no—
769C22×C17—41no—
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#54014yes—
783C22×C17C22×#4111yescharacteristic
784C22×C17C2×H(5,𝔽2)11yescharacteristic
785C22×C17C2×H(5,𝔽2)11yescharacteristic
786C22×C17C2×H(5,𝔽2)11yescharacteristic
787C22×C17C2×H(5,𝔽2)11yescharacteristic
788C22×C17C2×2−1+411yescharacteristic
789C22×C17#58511yescharacteristic
790C2×D17—41no—
791C2×D17—41no—
792C2×D17—41no—
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—
804C4×C17—22no—
805C4×C17—41no—
806C4×C17—41no—
807C4×C17—41no—
808C4×C17—41no—
809C4×C17—41no—
810C4×C17—41no—
811C4×C17—41no—
812C4×C17—41no—
813C4×C17—41no—
814C4×C17—41no—
815Dic17—22no—
816Dic17—22no—
817Dic17—41no—
818Dic17—41no—
819Dic17—41no—
820Dic17—41no—
821Dic17—41no—
822Dic17—41no—
823Dic17—41no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828Dic17—41no—
829C24×C4C2×D1711yescharacteristic
830C2×#125—171no—
831C2×#123—171no—
832C2×#123—171no—
833C2×#123—171no—
834C2×#123—171no—
835C2×#123C2×D1711yescharacteristic
836C2×#123C2×D1711yescharacteristic
837C2×#121—171no—
838C2×#121—171no—
839C2×#121—171no—
840C2×#121—171no—
841C2×#121—171no—
842C2×#121—171no—
843C2×#121—171no—
844C2×#120—171no—
845C2×#120—171no—
846C2×#120C2×D1711yescharacteristic
847C2×C4×D4—171no—
848C2×C4×D4—171no—
849C2×C4×D4—171no—
850C22×C4⋊C4—171no—
851C22×C4⋊C4—171no—
852C22×C22⋊C4—171no—
853C22×C22⋊C4—171no—
854#400—171no—
855#400—171no—
856#400—171no—
857#400—171no—
858#400—171no—
859#399—171no—
860#399—171no—
861#399—171no—
862#399—171no—
863#399—171no—
864#398—171no—
865#398—171no—
866#398—171no—
867#398—171no—
868#398—171no—
869#398—171no—
870#398—171no—
871#398—171no—
872#397—171no—
873#397—171no—
874#397—171no—
875#397—171no—
876#397—171no—
877#397—171no—
878#396—171no—
879#396—171no—
880#396—171no—
881#396—171no—
882#396—171no—
883#396—171no—
884#396—171no—
885#396—171no—
886#396—171no—
887#396—171no—
888#394—171no—
889#394—171no—
890#394—171no—
891#394—171no—
892#394—171no—
893#394—171no—
894#394—171no—
895#394—171no—
896#394—171no—
897#394—171no—
898#394—171no—
899#392—171no—
900#392—171no—
901#392—171no—
902#390—171no—
903#390—171no—
904#390—171no—
905#390—171no—
906#390—171no—
907#390—171no—
908#389—171no—
909#389—171no—
910#389—171no—
911#389—171no—
912#388—171no—
913#388—171no—
914#388—171no—
915#388—171no—
916#388—171no—
917#388—171no—
918#388—171no—
919#388—171no—
920#388—171no—
921#388—171no—
922#387—171no—
923#387—171no—
924#387—171no—
925#387—171no—
926#387—171no—
927#387—171no—
928#386—171no—
929#386—171no—
930#386—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#386C2×D1711yescharacteristic
944#386C2×D1711yescharacteristic
945#386C2×D1711yescharacteristic
946#386C2×D1711yescharacteristic
947#385—171no—
948#385—171no—
949#385—171no—
950#385—171no—
951#385—171no—
952#385—171no—
953#385—171no—
954#385—171no—
955#385—171no—
956#385—171no—
957#385—171no—
958#385—171no—
959#385—171no—
960#385C2×D1711yescharacteristic
961#385C2×D1711yescharacteristic
962#385C2×D1711yescharacteristic
963#385C2×D1711yescharacteristic
964#383—171no—
965#382—171no—
966#382—171no—
967#381—171no—
968#381—171no—
969#381—171no—
970#381C2×D1711yescharacteristic
971#381C2×D1711yescharacteristic
972#380—171no—
973#380—171no—
974#380—171no—
975#380—171no—
976#380—171no—
977#380—171no—
978#380—171no—
979#380—171no—
980#379C2×D1711yescharacteristic
981C4×C22⋊C4—171no—
982C2×#95—171no—
983C2×#95—171no—
984C2×C17—24no—
985C2×C17—42no—
986C2×C17—42no—
987C2×C17—81no—
988C2×C17C2×#54011yescharacteristic
989C2×C17#349211yescharacteristic
990C2×C17#350511yescharacteristic
991C2×C17#353211yescharacteristic
992C2×C17#353411yescharacteristic
993C2×C17#353511yescharacteristic
994C2×C17#353611yescharacteristic
995D17—81no—
996D17—81no—
997C25C22×D1711yescharacteristic
998C22×D4—171no—
999C22×D4—171no—
1000C22×D4—171no—
1001C22×D4—171no—
1002C22×D4—171no—
1003C22×D4—171no—
1004C22×D4—171no—
1005C22×D4—171no—
1006C22×D4—171no—
1007C22×D4C22×D1711yescharacteristic
1008C22×D4C22×D1711yescharacteristic
1009C22×D4C22×D1711yescharacteristic
1010C23×C4—42no—
1011C23×C4—42no—
1012C23×C4—42no—
1013C23×C4—171no—
1014C23×C4—171no—
1015C23×C4—171no—
1016C23×C4—171no—
1017C23×C4—171no—
1018C23×C4—171no—
1019C23×C4—171no—
1020C23×C4C22×D1711yescharacteristic
1021C23×C4C22×D1711yescharacteristic
1022C23×C4C22×D1711yescharacteristic
1023C23×C4C22×D1711yescharacteristic
1024C23×C4C22×D1711yescharacteristic
1025C23×C4C22×D1711yescharacteristic
1026#125—682no—
1027#123—42no—
1028#123—42no—
1029#123—682no—
1030#123—682no—
1031#123—682no—
1032#123—682no—
1033#121—344no—
1034#121—682no—
1035#121—682no—
1036#121—682no—
1037#121—682no—
1038#121—682no—
1039#121—682no—
1040#120—42no—
1041#120—682no—
1042#120—682no—
1043C4×D4—344no—
1044C4×D4—682no—
1045C4×D4—682no—
1046C2×C4⋊C4—171no—
1047C2×C4⋊C4—171no—
1048C2×C4⋊C4—171no—
1049C2×C4⋊C4—171no—
1050C2×C4⋊C4—171no—
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—171no—
1076C2×C4⋊C4—682no—
1077C2×C4⋊C4—682no—
1078C2×C4⋊C4C22×D1711yescharacteristic
1079C2×C4⋊C4C22×D1711yescharacteristic
1080C2×C4⋊C4C22×D1711yescharacteristic
1081C2×C4⋊C4C22×D1711yescharacteristic
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—171no—
1119C2×C22⋊C4—344no—
1120C2×C22⋊C4—682no—
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×C22⋊C4C22×D1711yescharacteristic
1134C2×C42—171no—
1135C2×C42—171no—
1136C2×C42—171no—
1137C2×C42—171no—
1138C2×C42—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#95C22×D1711yescharacteristic
1172#95C22×D1711yescharacteristic
1173#95C22×D1711yescharacteristic
1174#95C22×D1711yescharacteristic
1175#95C22×D1711yescharacteristic
1176#95C22×D1711yescharacteristic
1177#95C22×D1711yescharacteristic
1178#95C22×D1711yescharacteristic
1179C17#3677711yescharacteristic, complemented, Sylow
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—41no—
1186C24—41no—
1187C24—171no—
1188C24—171no—
1189C24C23×D1711yescharacteristic
1190C24C23×D1711yescharacteristic
1191C24C23×D1711yescharacteristic
1192C24C23×D1711yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—342no—
1203C2×D4—342no—
1204C2×D4—342no—
1205C2×D4—342no—
1206C2×D4—342no—
1207C2×D4—342no—
1208C2×D4—342no—
1209C2×D4—342no—
1210C2×D4—342no—
1211C2×D4—342no—
1212C2×D4—342no—
1213C2×D4—342no—
1214C2×D4—681no—
1215C2×D4—681no—
1216C2×D4—681no—
1217C2×D4—681no—
1218C2×D4—681no—
1219C2×D4—681no—
1220C2×D4—681no—
1221C2×D4—681no—
1222C2×D4—681no—
1223C2×D4—681no—
1224C2×D4—681no—
1225C2×D4—681no—
1226C2×D4—681no—
1227C2×D4—681no—
1228C2×D4—681no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—416no—
1248C22×C4—171no—
1249C22×C4—171no—
1250C22×C4—174no—
1251C22×C4—171no—
1252C22×C4—171no—
1253C22×C4—171no—
1254C22×C4—171no—
1255C22×C4—171no—
1256C22×C4—171no—
1257C22×C4—171no—
1258C22×C4—171no—
1259C22×C4—171no—
1260C22×C4—171no—
1261C22×C4—171no—
1262C22×C4—171no—
1263C22×C4—342no—
1264C22×C4—342no—
1265C22×C4—342no—
1266C22×C4—342no—
1267C22×C4—342no—
1268C22×C4—342no—
1269C22×C4—681no—
1270C22×C4—681no—
1271C22×C4—681no—
1272C22×C4—681no—
1273C22×C4—681no—
1274C22×C4—681no—
1275C22×C4—681no—
1276C22×C4—681no—
1277C22×C4—681no—
1278C22×C4—681no—
1279C22×C4—681no—
1280C22×C4—681no—
1281C22×C4—681no—
1282C22×C4—681no—
1283C22×C4C23×D1711yescharacteristic
1284C22×C4C23×D1711yescharacteristic
1285C22×C4C23×D1711yescharacteristic
1286C22×C4C23×D1711yescharacteristic
1287C22×C4C23×D1711yescharacteristic
1288C22×C4C23×D1711yescharacteristic
1289C22×C4C23×D1711yescharacteristic
1290C22×C4C23×D1711yescharacteristic
1291C22×C4C23×D1711yescharacteristic
1292C22×C4C23×D1711yescharacteristic
1293C22×C4C23×D1711yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—342no—
1299C4⋊C4—342no—
1300C4⋊C4—342no—
1301C4⋊C4—342no—
1302C4⋊C4—342no—
1303C4⋊C4—681no—
1304C4⋊C4—681no—
1305C4⋊C4—681no—
1306C4⋊C4—681no—
1307C4⋊C4—681no—
1308C4⋊C4—681no—
1309C4⋊C4—681no—
1310C4⋊C4—681no—
1311C4⋊C4—681no—
1312C4⋊C4—681no—
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—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—342no—
1342C22⋊C4—342no—
1343C22⋊C4—342no—
1344C22⋊C4—342no—
1345C22⋊C4—342no—
1346C22⋊C4—342no—
1347C22⋊C4—342no—
1348C22⋊C4—342no—
1349C22⋊C4—342no—
1350C22⋊C4—342no—
1351C22⋊C4—342no—
1352C22⋊C4—681no—
1353C22⋊C4—681no—
1354C22⋊C4—681no—
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—
1378C42—342no—
1379C42—681no—
1380C42—681no—
1381C42—681no—
1382C42—681no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—28no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
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—44no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—341no—
1414C23—341no—
1415C23—341no—
1416C23—341no—
1417C23—341no—
1418C23—341no—
1419C23—341no—
1420C23—341no—
1421C23—341no—
1422C23—341no—
1423C23—341no—
1424C23—341no—
1425C23—341no—
1426C23—341no—
1427C23#1058769112yes—
1428C23#1058769112yes—
1429C23#41×D1712yes—
1430C23#1058769612yes—
1431C23#1058769712yes—
1432C23C24×D1711yescharacteristic
1433D4—44no—
1434D4—82no—
1435D4—82no—
1436D4—684no—
1437D4—684no—
1438D4—1362no—
1439D4—1362no—
1440D4—1362no—
1441D4—1362no—
1442D4—1362no—
1443D4—1362no—
1444D4—1362no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
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—44no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—172no—
1484C2×C4—172no—
1485C2×C4—341no—
1486C2×C4—341no—
1487C2×C4—341no—
1488C2×C4—341no—
1489C2×C4—341no—
1490C2×C4—341no—
1491C2×C4—341no—
1492C2×C4—341no—
1493C2×C4—341no—
1494C2×C4—341no—
1495C2×C4—341no—
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—684no—
1526C2×C4—684no—
1527C2×C4—1362no—
1528C2×C4—1362no—
1529C2×C4—1362no—
1530C2×C4—1362no—
1531C2×C4—1362no—
1532C2×C4#1058769112yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—681no—
1562C22—681no—
1563C22—681no—
1564C22—681no—
1565C22—681no—
1566C22—681no—
1567C22—681no—
1568C22—681no—
1569C22—681no—
1570C22—681no—
1571C22—681no—
1572C22—681no—
1573C22—681no—
1574C22—681no—
1575C22#1176341114yes—
1576C22C2×#41×D1711yescharacteristic
1577C22C2×#1058769111yescharacteristic
1578C22C2×#1058769111yescharacteristic
1579C22C2×#1058769111yescharacteristic
1580C22C2×#1058769611yescharacteristic
1581C22C2×#1058769711yescharacteristic
1582C22#1176364511yescharacteristic
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—342no—
1595C4—342no—
1596C4—681no—
1597C4—681no—
1598C4—681no—
1599C4—681no—
1600C4—681no—
1601C4—681no—
1602C4—681no—
1603C4—681no—
1604C4—681no—
1605C4—681no—
1606C4—681no—
1607C4—681no—
1608C2—24no—
1609C2—42no—
1610C2—42no—
1611C2—81no—
1612C2—1361no—
1613C2—1361no—
1614C2C2×#1176341111yescharacteristic
1615C2#1454248511yescharacteristic
1616C2#1454261211yescharacteristic
1617C2#1454293911yescharacteristic
1618C2#1454296811yescharacteristic
1619C2#1454299711yescharacteristic
1620C2#1454301111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2849C2
hypercenter#2849D17
hypocenterC17#36777
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. #14537066C2semidirect
2. #14536436C2semidirect
3. #14536430C2semidirect
4. #14536261C2semidirect
5. #14536167C2semidirect
6. #14536055C2semidirect
7. #14536001C2semidirect
8. #14535993C2semidirect
9. #14535920C2semidirect
10. #14535854C2semidirect
11. #14535544C2semidirect
12. #14535483C2semidirect
13. #14535466C2semidirect
14. #14535397C2semidirect
15. #14535391C2semidirect
16. #14535221C2semidirect
17. #14535020C2semidirect
18. #14534570C2semidirect
19. #14534532C2semidirect
20. #14533712C2semidirect
21. #14533677C2semidirect
22. #14532507C2semidirect
23. #14532333C2semidirect
24. #14532324C2semidirect
25. #14532259C2semidirect
26. #14532250C2semidirect
27. #14532223C2semidirect
28. #14531485C2semidirect
29. #14531412C2semidirect
30. C2×#11762682C2semidirect
31. C17×#2849C2semidirect
32. C2×#10587575C22semidirect
40. C2×#10587570C22semidirect
53. #11762751C22semidirect
54. #11762751C22semidirect
55. #11762750C22semidirect
56. #11762749C22semidirect
57. #11762749C22semidirect
61. #11762744C22semidirect
62. #11762744C22semidirect
63. #11762743C22semidirect
64. #11762743C22semidirect
65. #11762742C22semidirect
66. #11762742C22semidirect
67. #11762742C22semidirect
68. #11762741C22semidirect
69. #11762741C22semidirect
70. #11762740C22semidirect
71. #11762738C22semidirect
72. #11762738C22semidirect
74. #11762736C22semidirect
75. #11762734C22semidirect
76. #11762734C22semidirect
77. #11762733C22semidirect
78. #11762733C22semidirect
79. #11762733C22semidirect
83. #11762732C22semidirect
84. #11762732C22semidirect
85. #11762732C22semidirect
86. #11762731C22semidirect
87. #11762727C22semidirect
88. #11762726C22semidirect
94. #11762724C22semidirect
95. #11762724C22semidirect
96. #11762724C22semidirect
106. #11762709C22semidirect
107. #11762708C22semidirect
108. #11762706C22semidirect
109. #11762706C22semidirect
110. #11762704C22semidirect
113. #11762703C22semidirect
117. #11762701C22semidirect
118. #11762701C22semidirect
119. #11762699C22semidirect
120. #11762698C22semidirect
121. #11762696C22semidirect
122. #11762696C22semidirect
123. #11762694C22semidirect
124. #11762694C22semidirect
125. #11762691C22semidirect
126. #11762690C22semidirect
134. #11762687C22semidirect
137. #11762686C22semidirect
141. #11762685C22semidirect
143. #11762684C22semidirect
144. #11762683C22semidirect
154. #11762681C22semidirect
155. #11762676C22semidirect
156. #11762674C22semidirect
157. #11762673C22semidirect
158. #11762671C22semidirect
160. #11762670C22semidirect
164. #11762668C22semidirect
167. #11762666C22semidirect
168. #11762666C22semidirect
723. #2849D17semidirect
1179. C17#36777semidirect

Maximal subgroups

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

subgroupindex
#145370662
#145364362
#145364302
#145362612
#145361672
#145360552
#145360012
#145359932
#145359202
#145358542
#145355442
#145354832
#145354662
#145353972
#145353912
#145352212
#145350202
#145345702
#145345322
#145337122
#145336772
#145325072
#145323332
#145323242
#145322592
#145322502
#145322232
#145314852
#145314122
C2×#117626822
C17×#28492
#3677717