Finite Group Databasebeta

← #17242756

Subgroups — #17242756

Order 4352.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537097C211yesmaximal, characteristic, complemented
2#14537081C211yesmaximal, characteristic, complemented
3#14536450C211yesmaximal, characteristic, complemented
4#14536450C211yesmaximal, characteristic, complemented
5#14536405C211yesmaximal, characteristic, complemented
6#14536215C211yesmaximal, characteristic, complemented
7#14536207C211yesmaximal, characteristic, complemented
8#14536167C211yesmaximal, characteristic, complemented
9#14536109C211yesmaximal, characteristic, complemented
10#14536010C211yesmaximal, characteristic, complemented
11#14535920C211yesmaximal, characteristic, complemented
12#14535903C211yesmaximal, characteristic, complemented
13#14535825C211yesmaximal, characteristic, complemented
14#14535821C211yesmaximal, characteristic, complemented
15#14535784C211yesmaximal, characteristic, complemented
16#14535416C211yesmaximal, characteristic, complemented
17#14535175C211yesmaximal, characteristic, complemented
18#14535164C211yesmaximal, characteristic, complemented
19#14534568C211yesmaximal, characteristic, complemented
20#14534532C211yesmaximal, characteristic, complemented
21#14533346C211yesmaximal, characteristic, complemented
22#14533112C211yesmaximal, characteristic, complemented
23#14532536C211yesmaximal, characteristic, complemented
24#14532445C211yesmaximal, characteristic, complemented
25#14532337C211yesmaximal, characteristic, complemented
26#14532174C211yesmaximal, characteristic, complemented
27#14532158C211yesmaximal, characteristic
28#14532107C211yesmaximal, characteristic, complemented
29#14531442C211yesmaximal, characteristic, complemented
30C2×#11762703C211yesmaximal, characteristic, complemented
31C17×#2308C211yesmaximal, characteristic, complemented
32C2×#10587565C2211yescharacteristic, complemented
33C2×#10587571C2211yescharacteristic, complemented
34C2×#10587572C2211yescharacteristic, complemented
35C2×#10587621C2211yescharacteristic
36C2×#10587621C2211yescharacteristic
37C2×#10587610C2211yescharacteristic, complemented
38C2×#10587564C2211yescharacteristic, complemented
39C2×#10587625C2211yescharacteristic
40C2×#10587625C2211yescharacteristic
41C2×#10587639C2211yescharacteristic
42C2×#10587639C2211yescharacteristic
43C2×C4×C22⋊D17C2211yescharacteristic, complemented
44C22×#63225C2211yescharacteristic, complemented
45C22×C22⋊Dic17C2211yescharacteristic
46C22×C22⋊Dic17C2211yescharacteristic
47C22×C4×Dic17C2211yescharacteristic, complemented
48C17⋊#401C2211yescharacteristic, complemented
49#11762751C2211yescharacteristic, complemented
50#11762750C2211yescharacteristic, complemented
51#11762750C2211yescharacteristic, complemented
52#11762750C2211yescharacteristic, complemented
53#11762750C2211yescharacteristic, complemented
54#11762749C2211yescharacteristic, complemented
55#11762745C2211yescharacteristic
56#11762745C2211yescharacteristic, complemented
57#11762745C2211yescharacteristic, complemented
58#11762743C2211yescharacteristic, complemented
59#11762743C2211yescharacteristic, complemented
60#11762743C2211yescharacteristic, complemented
61#11762743C2211yescharacteristic, complemented
62#11762743C2211yescharacteristic, complemented
63#11762738C2211yescharacteristic, complemented
64#11762737C2211yescharacteristic, complemented
65#11762737C2211yescharacteristic, complemented
66#11762737C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic, complemented
68#11762737C2211yescharacteristic, complemented
69#11762736C2211yescharacteristic, complemented
70#11762734C2211yescharacteristic
71#11762734C2211yescharacteristic
72#11762734C2211yescharacteristic, complemented
73#11762733C2211yescharacteristic, complemented
74#11762733C2211yescharacteristic, complemented
75#11762732C2211yescharacteristic
76#11762732C2211yescharacteristic
77#11762732C2211yescharacteristic, complemented
78#11762732C2211yescharacteristic, complemented
79#11762732C2211yescharacteristic, complemented
80#11762725C2211yescharacteristic
81#11762725C2211yescharacteristic
82#11762725C2211yescharacteristic, complemented
83#11762724C2211yescharacteristic, complemented
84#11762724C2211yescharacteristic, complemented
85#11762724C2211yescharacteristic, complemented
86#11762723C2211yescharacteristic
87#11762723C2211yescharacteristic
88#11762723C2211yescharacteristic
89#11762723C2211yescharacteristic
90#11762723C2211yescharacteristic
91#11762723C2211yescharacteristic
92#11762721C2211yescharacteristic
93#11762721C2211yescharacteristic, complemented
94#11762717C2211yescharacteristic
95#11762717C2211yescharacteristic
96#11762713C2211yescharacteristic, complemented
97#11762713C2211yescharacteristic, complemented
98#11762709C2211yescharacteristic
99#11762709C2211yescharacteristic, complemented
100#11762709C2211yescharacteristic, complemented
101#11762706C2211yescharacteristic, complemented
102#11762703C2211yescharacteristic
103#11762703C2211yescharacteristic
104#11762703C2211yescharacteristic
105#11762703C2211yescharacteristic
106#11762703C2211yescharacteristic
107#11762703C2211yescharacteristic, complemented
108#11762703C2211yescharacteristic, complemented
109#11762703C2211yescharacteristic, complemented
110#11762703C2211yescharacteristic, complemented
111#11762703C2211yescharacteristic, complemented
112#11762703C2211yescharacteristic, complemented
113#11762702C2211yescharacteristic, complemented
114#11762702C2211yescharacteristic, complemented
115#11762702C2211yescharacteristic, complemented
116#11762702C2211yescharacteristic, complemented
117#11762702C2211yescharacteristic, complemented
118#11762702C2211yescharacteristic, complemented
119#11762701C2211yescharacteristic, complemented
120#11762698C2211yescharacteristic, complemented
121#11762697C2211yescharacteristic
122#11762697C2211yescharacteristic, complemented
123#11762697C2211yescharacteristic, complemented
124#11762697C2211yescharacteristic, complemented
125#11762697C2211yescharacteristic, complemented
126#11762697C2211yescharacteristic, complemented
127#11762696C2211yescharacteristic, complemented
128#11762696C2211yescharacteristic, complemented
129#11762694C2211yescharacteristic, complemented
130#11762692C2211yescharacteristic, complemented
131#11762691C2211yescharacteristic, complemented
132#11762689C2211yescharacteristic
133#11762689C2211yescharacteristic
134#11762689C2211yescharacteristic
135#11762689C2211yescharacteristic
136#11762688C2211yescharacteristic
137#11762688C2211yescharacteristic, complemented
138#11762688C2211yescharacteristic, complemented
139#11762688C2211yescharacteristic, complemented
140#11762686C2211yescharacteristic, complemented
141#11762685C2211yescharacteristic
142#11762685C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic, complemented
144#11762685C2211yescharacteristic, complemented
145#11762684C2211yescharacteristic, complemented
146#11762684C2211yescharacteristic, complemented
147#11762682C2211yescharacteristic
148#11762682C2211yescharacteristic
149#11762682C2211yescharacteristic
150#11762682C2211yescharacteristic, complemented
151#11762682C2211yescharacteristic, complemented
152#11762682C2211yescharacteristic, complemented
153#11762681C2211yescharacteristic, complemented
154#11762676C2211yescharacteristic, complemented
155#11762676C2211yescharacteristic, complemented
156#11762673C2211yescharacteristic, complemented
157#11762673C2211yescharacteristic, complemented
158#11762671C2211yescharacteristic, complemented
159#11762670C2211yescharacteristic, complemented
160#11762669C2211yescharacteristic, complemented
161#11762669C2211yescharacteristic, complemented
162#11762669C2211yescharacteristic, complemented
163#11762668C2211yescharacteristic, complemented
164#11762667C2211yescharacteristic, complemented
165#11762665C2211yescharacteristic
166#11762665C2211yescharacteristic
167#11762665C2211yescharacteristic
168#11762665C2211yescharacteristic
169C4×C22⋊Dic17C2211yescharacteristic, complemented
170C2×#10587502C2211yescharacteristic, complemented
171C2×#10587502C2211yescharacteristic, complemented
172C23×D4×C17C2211yescharacteristic
173C22×C22⋊C4×C17C2211yescharacteristic
174C22×C22⋊C4×C17C2211yescharacteristic
175C17×#386C2211yescharacteristic
176C17×#386C2211yescharacteristic
177C17×#386C2211yescharacteristic
178C17×#386C2211yescharacteristic
179C17×#386C2211yescharacteristic
180C17×#386C2211yescharacteristic
181C17×#386C2211yescharacteristic
182C17×#386C2211yescharacteristic
183C17×#381C2211yescharacteristic
184C17×#381C2211yescharacteristic
185C17×#379C2211yescharacteristic
186C17×#379C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C25×C17C2311yescharacteristic
189C22×D4×C17—24no—
190C22×D4×C17—42no—
191C22×D4×C17—42no—
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C23×Dic17C2311yescharacteristic
207C23×Dic17C2311yescharacteristic
208C23×Dic17C2311yescharacteristic
209C23×Dic17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×Dic34C2311yescharacteristic
212C2×C22⋊C4×C17—42no—
213C2×C22⋊C4×C17—42no—
214C2×C22⋊C4×C17C2311yescharacteristic
215C2×C22⋊C4×C17C2311yescharacteristic
216C2×C22⋊C4×C17C2311yescharacteristic
217C2×C22⋊C4×C17C2311yescharacteristic
218C2×C22⋊C4×C17C2311yescharacteristic
219C2×C22⋊C4×C17C2311yescharacteristic
220C2×C22⋊C4×C17C2311yescharacteristic
221C2×C22⋊C4×C17C2311yescharacteristic
222C2×C22⋊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
230#10587639—24no—
231#10587639—42no—
232C2×C22⋊Dic17—24no—
233C2×C22⋊Dic17—42no—
234C2×C22⋊Dic17C2311yescharacteristic
235C2×C22⋊Dic17C2311yescharacteristic
236C2×C22⋊Dic17C2311yescharacteristic
237C2×C22⋊Dic17C2311yescharacteristic
238C2×C22⋊Dic17C2311yescharacteristic
239C2×C22⋊Dic17C2311yescharacteristic
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
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265#10587625—42no—
266#10587625—42no—
267#10587621—42no—
268#10587621—42no—
269C4×C22⋊D17—42no—
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×C4⋊Dic17C2311yescharacteristic
280C2×C4⋊Dic17C2311yescharacteristic
281C2×C4⋊Dic17C2311yescharacteristic
282C2×C4⋊Dic17C2311yescharacteristic
283C2×C4⋊Dic17C2311yescharacteristic
284C2×C4⋊Dic17C2311yescharacteristic
285C2×C4⋊Dic17C2311yescharacteristic
286#10587610—42no—
287C2×#63225—42no—
288C2×#63225C2311yescharacteristic
289C2×#63225C2311yescharacteristic
290C2×#63225C2311yescharacteristic
291C2×#63225C2311yescharacteristic
292C2×#63225C2311yescharacteristic
293C2×#63225C2311yescharacteristic
294C2×#63225C2311yescharacteristic
295C2×#63225C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×C4×Dic17—42no—
308C2×C4×Dic17C2311yescharacteristic
309C2×C4×Dic17C2311yescharacteristic
310C2×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315#10587572—42no—
316#10587571—42no—
317#10587565—42no—
318#10587564—42no—
319C17×#95C2311yescharacteristic
320C17×#95C2311yescharacteristic
321C17×#95C2311yescharacteristic
322C17×#95C2311yescharacteristic
323C17×#95C2311yescharacteristic
324C17×#95C2311yescharacteristic
325C17×#95C2311yescharacteristic
326C17×#95C2311yescharacteristic
327#10587502C2311yescharacteristic
328#10587502C2311yescharacteristic
329#10587502C2311yescharacteristic
330#10587502C2311yescharacteristic
331#10587502C2311yescharacteristic
332#10587502C2311yescharacteristic
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
363C24×C17—22no—
364C24×C17—22no—
365C24×C17—22no—
366C24×C17—41no—
367C24×C17—41no—
368C24×C17—41no—
369C24×C17—41no—
370C24×C17—41no—
371C24×C17—41no—
372C24×C17—41no—
373C24×C17—41no—
374C24×C17—41no—
375C24×C17—41no—
376C24×C17#4114yes—
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C24×C17C2411yescharacteristic
380C24×C17C2411yescharacteristic
381C24×C17C2411yescharacteristic
382C23×D17C2411yescharacteristic
383C2×D4×C17—22no—
384C2×D4×C17—22no—
385C2×D4×C17—22no—
386C2×D4×C17—22no—
387C2×D4×C17—22no—
388C2×D4×C17—22no—
389C2×D4×C17—22no—
390C2×D4×C17—22no—
391C2×D4×C17—41no—
392C2×D4×C17—41no—
393C2×D4×C17—41no—
394C2×D4×C17—41no—
395C2×D4×C17—416no—
396C22×C4×C17—22no—
397C22×C4×C17—22no—
398C22×C4×C17—22no—
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—41no—
410C22×C4×C17—41no—
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—41no—
428C2×C22⋊D17—41no—
429C2×C22⋊D17—41no—
430C2×C22⋊D17—41no—
431C2×C22⋊D17—41no—
432C2×C22⋊D17—41no—
433C2×C22⋊D17—41no—
434C2×C22⋊D17—41no—
435C2×C22⋊D17—41no—
436C22×Dic17—22no—
437C22×Dic17—22no—
438C22×Dic17—22no—
439C22×Dic17—22no—
440C22×Dic17—22no—
441C22×Dic17—22no—
442C22×Dic17—22no—
443C22×Dic17—41no—
444C22×Dic17—41no—
445C22×Dic17—41no—
446C22×Dic17—41no—
447C22×Dic17—41no—
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451C22×Dic17C2411yescharacteristic
452C22×Dic17C2411yescharacteristic
453C22×Dic17C2411yescharacteristic
454C22×Dic17C2411yescharacteristic
455C22×Dic17C2411yescharacteristic
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C2×C4×D17—41no—
464C2×C4×D17—41no—
465C2×C4×D17—41no—
466C2×Dic34—22no—
467C2×Dic34—41no—
468C2×Dic34—41no—
469C22⋊C4×C17—22no—
470C22⋊C4×C17—22no—
471C22⋊C4×C17—41no—
472C22⋊C4×C17—41no—
473C22⋊C4×C17—41no—
474C22⋊C4×C17—41no—
475C22⋊C4×C17—41no—
476C22⋊C4×C17—41no—
477C22⋊C4×C17—41no—
478C22⋊C4×C17—41no—
479C22⋊C4×C17—41no—
480C22⋊C4×C17—41no—
481C22⋊C4×C17—41no—
482C22⋊C4×C17—41no—
483C22⋊C4×C17—41no—
484C22⋊C4×C17—41no—
485C22⋊Dic17—22no—
486C22⋊Dic17—22no—
487C22⋊Dic17—22no—
488C22⋊Dic17—22no—
489C22⋊Dic17—22no—
490C22⋊Dic17—22no—
491C22⋊Dic17—22no—
492C22⋊Dic17—22no—
493C22⋊Dic17—22no—
494C22⋊Dic17—22no—
495C22⋊Dic17—22no—
496C22⋊Dic17—22no—
497C22⋊Dic17—41no—
498C22⋊Dic17—41no—
499C22⋊Dic17—41no—
500C22⋊Dic17—41no—
501C22⋊Dic17—41no—
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⋊Dic17—41no—
514C22⋊Dic17—41no—
515C22⋊Dic17—41no—
516#63227—41no—
517#63227—41no—
518#63227—41no—
519#63227—41no—
520#63227—41no—
521#63227—41no—
522#63227—41no—
523#63227—41no—
524#63227—41no—
525C4⋊Dic17—41no—
526C4⋊Dic17—41no—
527C4⋊Dic17—41no—
528C4⋊Dic17—41no—
529C4⋊Dic17—41no—
530C4⋊Dic17—41no—
531C4⋊Dic17—41no—
532#63225—22no—
533#63225—41no—
534#63225—41no—
535#63225—41no—
536#63225—41no—
537#63225—41no—
538#63225—41no—
539#63225—41no—
540#63225—41no—
541#63225—41no—
542#63225—41no—
543#63225—41no—
544#63225—41no—
545#63225—41no—
546#63225—41no—
547#63225—41no—
548#63225—41no—
549#63225—41no—
550#63225—41no—
551C4×Dic17—22no—
552C4×Dic17—22no—
553C4×Dic17—41no—
554C4×Dic17—41no—
555C4×Dic17—41no—
556C4×Dic17—41no—
557C4×Dic17—41no—
558#36779—171nomaximal, Sylow
559C23×C17—21no—
560C23×C17—21no—
561C23×C17—21no—
562C23×C17—21no—
563C23×C17—21no—
564C23×C17—21no—
565C23×C17—21no—
566C23×C17—21no—
567C23×C17—21no—
568C23×C17—21no—
569C23×C17—21no—
570C23×C17—21no—
571C23×C17—21no—
572C23×C17—21no—
573C23×C17—21no—
574C23×C17—21no—
575C23×C17—28no—
576C23×C17—21no—
577C23×C17—21no—
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—44no—
591C23×C17—44no—
592C23×C17—44no—
593C23×C17—82no—
594C23×C17—82no—
595C23×C17—82no—
596C23×C17—82no—
597C23×C17—82no—
598C23×C17—82no—
599C23×C17—82no—
600C23×C17—82no—
601C23×C17—82no—
602C23×C17—82no—
603C23×C17C2×#4112yes—
604C23×C17C2×#4112yes—
605C23×C17C2×#4112yes—
606C23×C17H(5,𝔽2)12yes—
607C23×C17H(5,𝔽2)12yes—
608C23×C17C2511yescharacteristic
609C22×D17—21no—
610C22×D17—21no—
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—21no—
615C22×D17—21no—
616D4×C17—44no—
617D4×C17—44no—
618D4×C17—44no—
619D4×C17—44no—
620C2×C4×C17—21no—
621C2×C4×C17—21no—
622C2×C4×C17—21no—
623C2×C4×C17—21no—
624C2×C4×C17—21no—
625C2×C4×C17—21no—
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—44no—
651C2×C4×C17—44no—
652C2×C4×C17—82no—
653C2×C4×C17—82no—
654C2×C4×C17—82no—
655C22⋊D17—44no—
656C22⋊D17—82no—
657C22⋊D17—82no—
658C22⋊D17—82no—
659C22⋊D17—82no—
660C2×Dic17—21no—
661C2×Dic17—21no—
662C2×Dic17—21no—
663C2×Dic17—21no—
664C2×Dic17—21no—
665C2×Dic17—21no—
666C2×Dic17—21no—
667C2×Dic17—21no—
668C2×Dic17—21no—
669C2×Dic17—21no—
670C2×Dic17—21no—
671C2×Dic17—21no—
672C2×Dic17—21no—
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—44no—
705C2×Dic17—44no—
706C2×Dic17—44no—
707C2×Dic17—82no—
708C2×Dic17H(5,𝔽2)12yes—
709C4×D17—82no—
710Dic34—82no—
711#2852—171no—
712#2850—171no—
713#2781—171no—
714#2781—171no—
715#2778—171no—
716#2765—171no—
717#2764—171no—
718#2761—171no—
719#2756—171no—
720#2749—171no—
721#2743—171no—
722#2741—171no—
723#2735—171no—
724#2735—171no—
725#2730—171no—
726#2702—171no—
727#2685—171no—
728#2684—171no—
729#2623—171no—
730#2618—171no—
731#2510—171no—
732#2488—171no—
733#2444—171no—
734#2437—171no—
735#2425—171no—
736#2412—171no—
737#2410—171no—
738#2405—171no—
739#2321—171no—
740#2308D1711yescharacteristic, complemented
741C2×#388—171no—
742C22×C17—22no—
743C22×C17—22no—
744C22×C17—22no—
745C22×C17—22no—
746C22×C17—22no—
747C22×C17—22no—
748C22×C17—22no—
749C22×C17—22no—
750C22×C17—22no—
751C22×C17—22no—
752C22×C17—22no—
753C22×C17—22no—
754C22×C17—41no—
755C22×C17—41no—
756C22×C17—41no—
757C22×C17—41no—
758C22×C17—41no—
759C22×C17—41no—
760C22×C17—41no—
761C22×C17—41no—
762C22×C17—41no—
763C22×C17—41no—
764C22×C17—41no—
765C22×C17—41no—
766C22×C17—41no—
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—88no—
777C22×C17—88no—
778C22×C17#53814yes—
779C22×C17C22×#4111yescharacteristic
780C22×C17C2×H(5,𝔽2)11yescharacteristic
781C22×C17C2×H(5,𝔽2)11yescharacteristic
782C22×C17C2×H(5,𝔽2)11yescharacteristic
783C22×C17#58511yescharacteristic
784C22×C17#58511yescharacteristic
785C22×C17#58511yescharacteristic
786C2×D17—41no—
787C2×D17—41no—
788C2×D17—41no—
789C2×D17—41no—
790C2×D17—41no—
791C2×D17—41no—
792C2×D17—41no—
793C4×C17—41no—
794C4×C17—41no—
795C4×C17—41no—
796C4×C17—41no—
797C4×C17—41no—
798C4×C17—41no—
799C4×C17—41no—
800C4×C17—41no—
801C4×C17—41no—
802C4×C17—41no—
803Dic17—22no—
804Dic17—41no—
805Dic17—41no—
806Dic17—41no—
807Dic17—41no—
808Dic17—41no—
809Dic17—41no—
810Dic17—41no—
811Dic17—41no—
812Dic17—41no—
813Dic17—41no—
814Dic17—41no—
815Dic17—41no—
816Dic17—41no—
817Dic17—41no—
818C23×D4C2×D1711yescharacteristic
819C2×#126—171no—
820C2×#124—171no—
821C2×#123—171no—
822C2×#123—171no—
823C2×#123—171no—
824C2×C22⋊Q8—171no—
825C2×C22⋊Q8—171no—
826C2×#121—171no—
827C2×#121—171no—
828C2×#120—171no—
829C2×#120—171no—
830C2×C4×D4—171no—
831C22×C4⋊C4—171no—
832C22×C22⋊C4—171no—
833C22×C22⋊C4—171no—
834C22×C22⋊C4C2×D1711yescharacteristic
835C22×C22⋊C4C2×D1711yescharacteristic
836C22×C42—171no—
837#401—171no—
838#400—171no—
839#400—171no—
840#400—171no—
841#400—171no—
842#400—171no—
843#400—171no—
844#399—171no—
845#399—171no—
846#399—171no—
847#398—171no—
848#398—171no—
849#398—171no—
850#398—171no—
851#398—171no—
852#397—171no—
853#397—171no—
854#397—171no—
855#397—171no—
856#397—171no—
857#397—171no—
858#397—171no—
859#397—171no—
860#397—171no—
861#397—171no—
862#396—171no—
863#396—171no—
864#396—171no—
865#396—171no—
866#396—171no—
867#396—171no—
868#396—171no—
869#394—171no—
870#394—171no—
871#394—171no—
872#394—171no—
873#394—171no—
874#394—171no—
875#394—171no—
876#394—171no—
877#394—171no—
878#394—171no—
879#394—171no—
880#394—171no—
881#393—171no—
882#393—171no—
883#392—171no—
884#392—171no—
885#391—171no—
886#391—171no—
887#390—171no—
888#390—171no—
889#390—171no—
890#389—171no—
891#388—171no—
892#388—171no—
893#388—171no—
894#388—171no—
895#388—171no—
896#388—171no—
897#388—171no—
898#388—171no—
899#388—171no—
900#388—171no—
901#388—171no—
902#388—171no—
903#388—171no—
904#388—171no—
905#388—171no—
906#388—171no—
907#388—171no—
908#388—171no—
909#388—171no—
910#388—171no—
911#388—171no—
912#388—171no—
913#388—171no—
914#388—171no—
915#388—171no—
916#387—171no—
917#387—171no—
918#387—171no—
919#387—171no—
920#387—171no—
921#386—171no—
922#386—171no—
923#386—171no—
924#386—171no—
925#386—171no—
926#386—171no—
927#386—171no—
928#386—171no—
929#386—171no—
930#386—171no—
931#386—171no—
932#386—171no—
933#386—171no—
934#386C2×D1711yescharacteristic
935#386C2×D1711yescharacteristic
936#386C2×D1711yescharacteristic
937#386C2×D1711yescharacteristic
938#386C2×D1711yescharacteristic
939#386C2×D1711yescharacteristic
940#386C2×D1711yescharacteristic
941#386C2×D1711yescharacteristic
942#385—171no—
943#385—171no—
944#385—171no—
945#385—171no—
946#385—171no—
947#385—171no—
948#385—171no—
949#385—171no—
950#385—171no—
951#383—171no—
952#383—171no—
953#382—171no—
954#382—171no—
955#381—171no—
956#381—171no—
957#381C2×D1711yescharacteristic
958#381C2×D1711yescharacteristic
959#380—171no—
960#380—171no—
961#380—171no—
962#380—171no—
963#380—171no—
964#379—171no—
965#379—171no—
966#379—171no—
967#379—171no—
968#379C2×D1711yescharacteristic
969#379C2×D1711yescharacteristic
970C4×C22⋊C4—171no—
971C2×#95—171no—
972C2×#95—171no—
973C2×C17—24no—
974C2×C17—42no—
975C2×C17—42no—
976C2×C17—81no—
977C2×C17—81no—
978C2×C17C2×#53811yescharacteristic
979C2×C17#349111yescharacteristic
980C2×C17#350511yescharacteristic
981C2×C17#353411yescharacteristic
982C2×C17#354211yescharacteristic
983C2×C17#354511yescharacteristic
984C2×C17#356011yescharacteristic
985D17—81no—
986C25C22×D1711yescharacteristic
987C25C22×D1711yescharacteristic
988C22×Q8—171no—
989C22×D4—24no—
990C22×D4—42no—
991C22×D4—42no—
992C22×D4—171no—
993C22×D4—171no—
994C22×D4—171no—
995C22×D4—171no—
996C22×D4—171no—
997C22×D4C22×D1711yescharacteristic
998C22×D4C22×D1711yescharacteristic
999C22×D4C22×D1711yescharacteristic
1000C22×D4C22×D1711yescharacteristic
1001C23×C4—171no—
1002C23×C4—171no—
1003C23×C4—171no—
1004C23×C4—171no—
1005C23×C4—171no—
1006C23×C4C22×D1711yescharacteristic
1007C23×C4C22×D1711yescharacteristic
1008C23×C4C22×D1711yescharacteristic
1009C23×C4C22×D1711yescharacteristic
1010C23×C4C22×D1711yescharacteristic
1011#126—682no—
1012#124—682no—
1013#123—682no—
1014#123—682no—
1015#123—682no—
1016C22⋊Q8—682no—
1017C22⋊Q8—682no—
1018#121—682no—
1019#121—682no—
1020#120—344no—
1021#120—682no—
1022C4×D4—682no—
1023C2×C4⋊C4—171no—
1024C2×C4⋊C4—171no—
1025C2×C4⋊C4—171no—
1026C2×C4⋊C4—171no—
1027C2×C4⋊C4—171no—
1028C2×C4⋊C4—171no—
1029C2×C4⋊C4—171no—
1030C2×C4⋊C4—171no—
1031C2×C4⋊C4—171no—
1032C2×C4⋊C4—171no—
1033C2×C4⋊C4—171no—
1034C2×C4⋊C4—171no—
1035C2×C4⋊C4—171no—
1036C2×C4⋊C4—171no—
1037C2×C4⋊C4—171no—
1038C2×C4⋊C4—171no—
1039C2×C4⋊C4—171no—
1040C2×C4⋊C4—171no—
1041C2×C4⋊C4—171no—
1042C2×C4⋊C4—171no—
1043C2×C4⋊C4—171no—
1044C2×C4⋊C4—171no—
1045C2×C4⋊C4—171no—
1046C2×C4⋊C4—171no—
1047C2×C4⋊C4—171no—
1048C2×C4⋊C4—171no—
1049C2×C4⋊C4—682no—
1050C2×C22⋊C4—42no—
1051C2×C22⋊C4—42no—
1052C2×C22⋊C4—171no—
1053C2×C22⋊C4—171no—
1054C2×C22⋊C4—171no—
1055C2×C22⋊C4—171no—
1056C2×C22⋊C4—171no—
1057C2×C22⋊C4—171no—
1058C2×C22⋊C4—171no—
1059C2×C22⋊C4—171no—
1060C2×C22⋊C4—171no—
1061C2×C22⋊C4—171no—
1062C2×C22⋊C4—171no—
1063C2×C22⋊C4—171no—
1064C2×C22⋊C4—171no—
1065C2×C22⋊C4—171no—
1066C2×C22⋊C4—171no—
1067C2×C22⋊C4—171no—
1068C2×C22⋊C4—171no—
1069C2×C22⋊C4—171no—
1070C2×C22⋊C4—171no—
1071C2×C22⋊C4—171no—
1072C2×C22⋊C4—171no—
1073C2×C22⋊C4—171no—
1074C2×C22⋊C4—171no—
1075C2×C22⋊C4—171no—
1076C2×C22⋊C4—171no—
1077C2×C22⋊C4—171no—
1078C2×C22⋊C4—171no—
1079C2×C22⋊C4—171no—
1080C2×C22⋊C4—171no—
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—344no—
1093C2×C22⋊C4—682no—
1094C2×C22⋊C4C22×D1711yescharacteristic
1095C2×C22⋊C4C22×D1711yescharacteristic
1096C2×C22⋊C4C22×D1711yescharacteristic
1097C2×C22⋊C4C22×D1711yescharacteristic
1098C2×C22⋊C4C22×D1711yescharacteristic
1099C2×C22⋊C4C22×D1711yescharacteristic
1100C2×C22⋊C4C22×D1711yescharacteristic
1101C2×C22⋊C4C22×D1711yescharacteristic
1102C2×C22⋊C4C22×D1711yescharacteristic
1103C2×C22⋊C4C22×D1711yescharacteristic
1104C2×C22⋊C4C22×D1711yescharacteristic
1105C2×C22⋊C4C22×D1711yescharacteristic
1106C2×C22⋊C4C22×D1711yescharacteristic
1107C2×C22⋊C4C22×D1711yescharacteristic
1108C2×C22⋊C4C22×D1711yescharacteristic
1109C2×C22⋊C4C22×D1711yescharacteristic
1110C2×C42—171no—
1111C2×C42—171no—
1112C2×C42—171no—
1113C2×C42—171no—
1114C2×C42—171no—
1115C2×C42—171no—
1116C2×C42—171no—
1117C2×C42—682no—
1118#95—171no—
1119#95—171no—
1120#95—171no—
1121#95—171no—
1122#95—171no—
1123#95—171no—
1124#95—171no—
1125#95—171no—
1126#95—171no—
1127#95—171no—
1128#95—171no—
1129#95—171no—
1130#95—171no—
1131#95—171no—
1132#95—171no—
1133#95—171no—
1134#95—171no—
1135#95—171no—
1136#95—171no—
1137#95—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#95C22×D1711yescharacteristic
1155#95C22×D1711yescharacteristic
1156#95C22×D1711yescharacteristic
1157#95C22×D1711yescharacteristic
1158#95C22×D1711yescharacteristic
1159#95C22×D1711yescharacteristic
1160#95C22×D1711yescharacteristic
1161#95C22×D1711yescharacteristic
1162C17#3677911yescharacteristic, complemented, Sylow
1163C24—22no—
1164C24—22no—
1165C24—22no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24—41no—
1176C24—171no—
1177C24#6325214yes—
1178C24C23×D1711yescharacteristic
1179C24C23×D1711yescharacteristic
1180C24C23×D1711yescharacteristic
1181C24C23×D1711yescharacteristic
1182C24C23×D1711yescharacteristic
1183C2×Q8—342no—
1184C2×Q8—681no—
1185C2×Q8—681no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—416no—
1199C2×D4—342no—
1200C2×D4—342no—
1201C2×D4—342no—
1202C2×D4—342no—
1203C2×D4—342no—
1204C2×D4—342no—
1205C2×D4—681no—
1206C2×D4—681no—
1207C2×D4—681no—
1208C2×D4—681no—
1209C2×D4—681no—
1210C2×D4—681no—
1211C2×D4—681no—
1212C2×D4—681no—
1213C2×D4—681no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—171no—
1230C22×C4—171no—
1231C22×C4—171no—
1232C22×C4—171no—
1233C22×C4—171no—
1234C22×C4—171no—
1235C22×C4—171no—
1236C22×C4—171no—
1237C22×C4—171no—
1238C22×C4—171no—
1239C22×C4—171no—
1240C22×C4—171no—
1241C22×C4—171no—
1242C22×C4—171no—
1243C22×C4—171no—
1244C22×C4—342no—
1245C22×C4—342no—
1246C22×C4—342no—
1247C22×C4—342no—
1248C22×C4—342no—
1249C22×C4—342no—
1250C22×C4—342no—
1251C22×C4—681no—
1252C22×C4—681no—
1253C22×C4—681no—
1254C22×C4—681no—
1255C22×C4—681no—
1256C22×C4—681no—
1257C22×C4—681no—
1258C22×C4—681no—
1259C22×C4C23×D1711yescharacteristic
1260C22×C4C23×D1711yescharacteristic
1261C22×C4C23×D1711yescharacteristic
1262C22×C4C23×D1711yescharacteristic
1263C22×C4C23×D1711yescharacteristic
1264C22×C4C23×D1711yescharacteristic
1265C22×C4C23×D1711yescharacteristic
1266C22×C4C23×D1711yescharacteristic
1267C22×C4C23×D1711yescharacteristic
1268C22×C4C23×D1711yescharacteristic
1269C4⋊C4—342no—
1270C4⋊C4—681no—
1271C4⋊C4—681no—
1272C4⋊C4—681no—
1273C4⋊C4—681no—
1274C4⋊C4—681no—
1275C4⋊C4—681no—
1276C4⋊C4—681no—
1277C4⋊C4—681no—
1278C4⋊C4—681no—
1279C4⋊C4—681no—
1280C4⋊C4—681no—
1281C4⋊C4—681no—
1282C4⋊C4—681no—
1283C4⋊C4—681no—
1284C4⋊C4—681no—
1285C4⋊C4—681no—
1286C4⋊C4—681no—
1287C4⋊C4—681no—
1288C4⋊C4—681no—
1289C4⋊C4—681no—
1290C4⋊C4—681no—
1291C4⋊C4—681no—
1292C4⋊C4—681no—
1293C4⋊C4—681no—
1294C4⋊C4—681no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—342no—
1312C22⋊C4—342no—
1313C22⋊C4—342no—
1314C22⋊C4—342no—
1315C22⋊C4—342no—
1316C22⋊C4—342no—
1317C22⋊C4—342no—
1318C22⋊C4—342no—
1319C22⋊C4—342no—
1320C22⋊C4—342no—
1321C22⋊C4—342no—
1322C22⋊C4—342no—
1323C22⋊C4—681no—
1324C22⋊C4—681no—
1325C22⋊C4—681no—
1326C22⋊C4—681no—
1327C22⋊C4—681no—
1328C22⋊C4—681no—
1329C22⋊C4—681no—
1330C22⋊C4—681no—
1331C22⋊C4—681no—
1332C22⋊C4—681no—
1333C22⋊C4—681no—
1334C22⋊C4—681no—
1335C22⋊C4—681no—
1336C22⋊C4—681no—
1337C22⋊C4—681no—
1338C22⋊C4—681no—
1339C22⋊C4—681no—
1340C22⋊C4—681no—
1341C22⋊C4—681no—
1342C22⋊C4—681no—
1343C22⋊C4—681no—
1344C22⋊C4—681no—
1345C22⋊C4—681no—
1346C22⋊C4—681no—
1347C22⋊C4—681no—
1348C22⋊C4—681no—
1349C22⋊C4—681no—
1350C22⋊C4—681no—
1351C42—342no—
1352C42—342no—
1353C42—681no—
1354C42—681no—
1355C42—681no—
1356C42—681no—
1357C42—681no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—28no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—44no—
1390C23—44no—
1391C23—44no—
1392C23—82no—
1393C23—82no—
1394C23—82no—
1395C23—82no—
1396C23—82no—
1397C23—82no—
1398C23—82no—
1399C23—82no—
1400C23—82no—
1401C23—82no—
1402C23—341no—
1403C23—341no—
1404C23—341no—
1405C23—341no—
1406C23—341no—
1407C23—341no—
1408C23—341no—
1409C23C2×#6325212yes—
1410C23C2×#6325212yes—
1411C23C2×#6325212yes—
1412C23#1058769112yes—
1413C23#1058769112yes—
1414C23C24×D1711yescharacteristic
1415Q8—1362no—
1416D4—44no—
1417D4—44no—
1418D4—44no—
1419D4—44no—
1420D4—684no—
1421D4—1362no—
1422D4—1362no—
1423D4—1362no—
1424D4—1362no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
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—44no—
1456C2×C4—44no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4—82no—
1460C2×C4—172no—
1461C2×C4—341no—
1462C2×C4—341no—
1463C2×C4—341no—
1464C2×C4—341no—
1465C2×C4—341no—
1466C2×C4—341no—
1467C2×C4—341no—
1468C2×C4—341no—
1469C2×C4—341no—
1470C2×C4—341no—
1471C2×C4—341no—
1472C2×C4—341no—
1473C2×C4—341no—
1474C2×C4—341no—
1475C2×C4—341no—
1476C2×C4—341no—
1477C2×C4—341no—
1478C2×C4—341no—
1479C2×C4—341no—
1480C2×C4—341no—
1481C2×C4—341no—
1482C2×C4—341no—
1483C2×C4—341no—
1484C2×C4—341no—
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—684no—
1506C2×C4—684no—
1507C2×C4—684no—
1508C2×C4—1362no—
1509C2×C4—1362no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—88no—
1545C22—88no—
1546C22—681no—
1547C22—681no—
1548C22—681no—
1549C22—681no—
1550C22—681no—
1551C22—681no—
1552C22—681no—
1553C22#1176339714yes—
1554C22C22×#6325211yescharacteristic
1555C22H(5,𝔽2)×D1711yescharacteristic
1556C22C2×#1058769111yescharacteristic
1557C22C2×#1058769111yescharacteristic
1558C22#1176364411yescharacteristic
1559C22#1176364411yescharacteristic
1560C22#1176364411yescharacteristic
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—342no—
1572C4—681no—
1573C4—681no—
1574C4—681no—
1575C4—681no—
1576C4—681no—
1577C4—681no—
1578C4—681no—
1579C4—681no—
1580C4—681no—
1581C4—681no—
1582C4—681no—
1583C4—681no—
1584C4—681no—
1585C4—681no—
1586C2—24no—
1587C2—42no—
1588C2—42no—
1589C2—81no—
1590C2—81no—
1591C2—1361no—
1592C2C2×#1176339711yescharacteristic
1593C2#1454247711yescharacteristic
1594C2#1454261411yescharacteristic
1595C2#1454297111yescharacteristic
1596C2#1454309511yescharacteristic
1597C2#1454313311yescharacteristic
1598C2#1454332611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2308C2
prime radical#14532158C2
hypercenter#2308D17
hypocenterC17#36779
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2308

Complements

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

NH ≅ G/Ntype
1. #14537097C2semidirect
2. #14537081C2semidirect
3. #14536450C2semidirect
4. #14536450C2semidirect
5. #14536405C2semidirect
6. #14536215C2semidirect
7. #14536207C2semidirect
8. #14536167C2semidirect
9. #14536109C2semidirect
10. #14536010C2semidirect
11. #14535920C2semidirect
12. #14535903C2semidirect
13. #14535825C2semidirect
14. #14535821C2semidirect
15. #14535784C2semidirect
16. #14535416C2semidirect
17. #14535175C2semidirect
18. #14535164C2semidirect
19. #14534568C2semidirect
20. #14534532C2semidirect
21. #14533346C2semidirect
22. #14533112C2semidirect
23. #14532536C2semidirect
24. #14532445C2semidirect
25. #14532337C2semidirect
26. #14532174C2semidirect
28. #14532107C2semidirect
29. #14531442C2semidirect
30. C2×#11762703C2semidirect
31. C17×#2308C2semidirect
32. C2×#10587565C22semidirect
33. C2×#10587571C22semidirect
34. C2×#10587572C22semidirect
37. C2×#10587610C22semidirect
38. C2×#10587564C22semidirect
43. C2×C4×C22⋊D17C22semidirect
44. C22×#63225C22semidirect
47. C22×C4×Dic17C22semidirect
48. C17⋊#401C22semidirect
49. #11762751C22semidirect
50. #11762750C22semidirect
51. #11762750C22semidirect
52. #11762750C22semidirect
53. #11762750C22semidirect
54. #11762749C22semidirect
56. #11762745C22semidirect
57. #11762745C22semidirect
58. #11762743C22semidirect
59. #11762743C22semidirect
60. #11762743C22semidirect
61. #11762743C22semidirect
62. #11762743C22semidirect
63. #11762738C22semidirect
64. #11762737C22semidirect
65. #11762737C22semidirect
66. #11762737C22semidirect
67. #11762737C22semidirect
68. #11762737C22semidirect
69. #11762736C22semidirect
72. #11762734C22semidirect
73. #11762733C22semidirect
74. #11762733C22semidirect
77. #11762732C22semidirect
78. #11762732C22semidirect
79. #11762732C22semidirect
82. #11762725C22semidirect
83. #11762724C22semidirect
84. #11762724C22semidirect
85. #11762724C22semidirect
93. #11762721C22semidirect
96. #11762713C22semidirect
97. #11762713C22semidirect
99. #11762709C22semidirect
100. #11762709C22semidirect
101. #11762706C22semidirect
107. #11762703C22semidirect
108. #11762703C22semidirect
109. #11762703C22semidirect
110. #11762703C22semidirect
111. #11762703C22semidirect
112. #11762703C22semidirect
113. #11762702C22semidirect
114. #11762702C22semidirect
115. #11762702C22semidirect
116. #11762702C22semidirect
117. #11762702C22semidirect
118. #11762702C22semidirect
119. #11762701C22semidirect
120. #11762698C22semidirect
122. #11762697C22semidirect
123. #11762697C22semidirect
124. #11762697C22semidirect
125. #11762697C22semidirect
126. #11762697C22semidirect
127. #11762696C22semidirect
128. #11762696C22semidirect
129. #11762694C22semidirect
130. #11762692C22semidirect
131. #11762691C22semidirect
137. #11762688C22semidirect
138. #11762688C22semidirect
139. #11762688C22semidirect
140. #11762686C22semidirect
142. #11762685C22semidirect
143. #11762685C22semidirect
144. #11762685C22semidirect
145. #11762684C22semidirect
146. #11762684C22semidirect
150. #11762682C22semidirect
151. #11762682C22semidirect
152. #11762682C22semidirect
153. #11762681C22semidirect
154. #11762676C22semidirect
155. #11762676C22semidirect
156. #11762673C22semidirect
157. #11762673C22semidirect
158. #11762671C22semidirect
159. #11762670C22semidirect
160. #11762669C22semidirect
161. #11762669C22semidirect
162. #11762669C22semidirect
163. #11762668C22semidirect
164. #11762667C22semidirect
169. C4×C22⋊Dic17C22semidirect
170. C2×#10587502C22semidirect
171. C2×#10587502C22semidirect
740. #2308D17semidirect
1162. C17#36779semidirect

Maximal subgroups

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

subgroupindex
#145370972
#145370812
#145364502
#145364052
#145362152
#145362072
#145361672
#145361092
#145360102
#145359202
#145359032
#145358252
#145358212
#145357842
#145354162
#145351752
#145351642
#145345682
#145345322
#145333462
#145331122
#145325362
#145324452
#145323372
#145321742
#145321582
#145321072
#145314422
C2×#117627032
C17×#23082
#3677917