Finite Group Databasebeta

← #17242752

Subgroups — #17242752

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#14537099C211yesmaximal, characteristic, complemented
2#14537085C211yesmaximal, characteristic, complemented
3#14536447C211yesmaximal, characteristic, complemented
4#14536442C211yesmaximal, characteristic, complemented
5#14536397C211yesmaximal, characteristic, complemented
6#14536217C211yesmaximal, characteristic, complemented
7#14536209C211yesmaximal, characteristic, complemented
8#14536169C211yesmaximal, characteristic, complemented
9#14536101C211yesmaximal, characteristic, complemented
10#14536002C211yesmaximal, characteristic, complemented
11#14535924C211yesmaximal, characteristic, complemented
12#14535900C211yesmaximal, characteristic, complemented
13#14535822C211yesmaximal, characteristic, complemented
14#14535820C211yesmaximal, characteristic, complemented
15#14535781C211yesmaximal, characteristic, complemented
16#14535413C211yesmaximal, characteristic, complemented
17#14535178C211yesmaximal, characteristic, complemented
18#14535165C211yesmaximal, characteristic, complemented
19#14534564C211yesmaximal, characteristic, complemented
20#14534526C211yesmaximal, characteristic, complemented
21#14533344C211yesmaximal, characteristic, complemented
22#14533110C211yesmaximal, characteristic, complemented
23#14532534C211yesmaximal, characteristic, complemented
24#14532445C211yesmaximal, characteristic, complemented
25#14532335C211yesmaximal, characteristic, complemented
26#14532180C211yesmaximal, characteristic, complemented
27#14532152C211yesmaximal, characteristic
28#14532111C211yesmaximal, characteristic, complemented
29#14531442C211yesmaximal, characteristic, complemented
30#14531359C211yesmaximal, characteristic, complemented
31C2×C17×#388C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C2×#10587562C2211yescharacteristic, complemented
34C2×#10587561C2211yescharacteristic, complemented
35C2×#10587615C2211yescharacteristic
36C2×#10587615C2211yescharacteristic
37C2×#10587615C2211yescharacteristic, complemented
38C2×#10587610C2211yescharacteristic, complemented
39C2×#10587564C2211yescharacteristic, complemented
40C2×#10587616C2211yescharacteristic
41C2×#10587616C2211yescharacteristic
42C2×#10587568C2211yescharacteristic
43C2×#10587639C2211yescharacteristic
44C2×C4×C22⋊D17C2211yescharacteristic, complemented
45C22×C22⋊Dic17C2211yescharacteristic
46C17⋊#401C2211yescharacteristic, complemented
47#11762751C2211yescharacteristic, complemented
48#11762751C2211yescharacteristic, complemented
49#11762751C2211yescharacteristic, complemented
50#11762750C2211yescharacteristic, complemented
51#11762747C2211yescharacteristic, complemented
52#11762747C2211yescharacteristic, complemented
53#11762745C2211yescharacteristic
54#11762744C2211yescharacteristic, complemented
55#11762744C2211yescharacteristic, complemented
56#11762743C2211yescharacteristic, complemented
57#11762740C2211yescharacteristic, complemented
58#11762740C2211yescharacteristic, complemented
59#11762739C2211yescharacteristic, complemented
60#11762739C2211yescharacteristic, complemented
61#11762738C2211yescharacteristic, complemented
62#11762738C2211yescharacteristic, complemented
63#11762738C2211yescharacteristic, complemented
64#11762738C2211yescharacteristic, complemented
65#11762738C2211yescharacteristic, complemented
66#11762737C2211yescharacteristic
67#11762737C2211yescharacteristic
68#11762736C2211yescharacteristic, complemented
69#11762735C2211yescharacteristic, complemented
70#11762735C2211yescharacteristic, complemented
71#11762733C2211yescharacteristic, complemented
72#11762732C2211yescharacteristic
73#11762732C2211yescharacteristic
74#11762731C2211yescharacteristic, complemented
75#11762731C2211yescharacteristic, complemented
76#11762731C2211yescharacteristic, complemented
77#11762731C2211yescharacteristic, complemented
78#11762727C2211yescharacteristic, complemented
79#11762727C2211yescharacteristic, complemented
80#11762726C2211yescharacteristic, complemented
81#11762726C2211yescharacteristic, complemented
82#11762725C2211yescharacteristic
83#11762725C2211yescharacteristic
84#11762724C2211yescharacteristic
85#11762724C2211yescharacteristic
86#11762724C2211yescharacteristic
87#11762724C2211yescharacteristic
88#11762724C2211yescharacteristic
89#11762724C2211yescharacteristic
90#11762722C2211yescharacteristic, complemented
91#11762721C2211yescharacteristic
92#11762718C2211yescharacteristic
93#11762718C2211yescharacteristic
94#11762715C2211yescharacteristic, complemented
95#11762713C2211yescharacteristic, complemented
96#11762711C2211yescharacteristic, complemented
97#11762709C2211yescharacteristic
98#11762709C2211yescharacteristic, complemented
99#11762706C2211yescharacteristic, complemented
100#11762703C2211yescharacteristic
101#11762703C2211yescharacteristic, complemented
102#11762701C2211yescharacteristic, complemented
103#11762701C2211yescharacteristic, complemented
104#11762700C2211yescharacteristic, complemented
105#11762700C2211yescharacteristic, complemented
106#11762700C2211yescharacteristic, complemented
107#11762700C2211yescharacteristic, complemented
108#11762700C2211yescharacteristic, complemented
109#11762700C2211yescharacteristic, complemented
110#11762700C2211yescharacteristic, complemented
111#11762698C2211yescharacteristic, complemented
112#11762698C2211yescharacteristic, complemented
113#11762698C2211yescharacteristic, complemented
114#11762698C2211yescharacteristic, complemented
115#11762697C2211yescharacteristic
116#11762697C2211yescharacteristic, complemented
117#11762696C2211yescharacteristic, complemented
118#11762693C2211yescharacteristic, complemented
119#11762693C2211yescharacteristic, complemented
120#11762693C2211yescharacteristic, complemented
121#11762692C2211yescharacteristic, complemented
122#11762688C2211yescharacteristic
123#11762688C2211yescharacteristic
124#11762688C2211yescharacteristic
125#11762688C2211yescharacteristic
126#11762688C2211yescharacteristic
127#11762688C2211yescharacteristic
128#11762688C2211yescharacteristic
129#11762688C2211yescharacteristic
130#11762688C2211yescharacteristic, complemented
131#11762688C2211yescharacteristic, complemented
132#11762687C2211yescharacteristic, complemented
133#11762687C2211yescharacteristic, complemented
134#11762686C2211yescharacteristic
135#11762686C2211yescharacteristic
136#11762686C2211yescharacteristic
137#11762686C2211yescharacteristic
138#11762686C2211yescharacteristic
139#11762686C2211yescharacteristic, complemented
140#11762686C2211yescharacteristic, complemented
141#11762685C2211yescharacteristic
142#11762685C2211yescharacteristic, complemented
143#11762684C2211yescharacteristic
144#11762684C2211yescharacteristic, complemented
145#11762682C2211yescharacteristic, complemented
146#11762682C2211yescharacteristic, complemented
147#11762682C2211yescharacteristic, complemented
148#11762682C2211yescharacteristic, complemented
149#11762681C2211yescharacteristic
150#11762681C2211yescharacteristic
151#11762681C2211yescharacteristic, complemented
152#11762677C2211yescharacteristic, complemented
153#11762676C2211yescharacteristic, complemented
154#11762675C2211yescharacteristic, complemented
155#11762673C2211yescharacteristic, complemented
156#11762672C2211yescharacteristic, complemented
157#11762671C2211yescharacteristic, complemented
158#11762670C2211yescharacteristic
159#11762670C2211yescharacteristic
160#11762669C2211yescharacteristic, complemented
161#11762668C2211yescharacteristic, complemented
162#11762667C2211yescharacteristic, complemented
163#11762667C2211yescharacteristic, complemented
164#11762667C2211yescharacteristic, complemented
165#11762665C2211yescharacteristic
166#11762664C2211yescharacteristic
167#11762664C2211yescharacteristic
168#11762664C2211yescharacteristic
169#11762664C2211yescharacteristic
170#11762664C2211yescharacteristic
171C4×C22⋊Dic17C2211yescharacteristic, complemented
172C22×C4⋊C4×C17C2211yescharacteristic, complemented
173C22×C22⋊C4×C17C2211yescharacteristic
174C22×C22⋊C4×C17C2211yescharacteristic
175C22×C22⋊C4×C17C2211yescharacteristic
176C22×C42×C17C2211yescharacteristic, complemented
177C17×#388C2211yescharacteristic
178C17×#388C2211yescharacteristic
179C17×#388C2211yescharacteristic
180C17×#388C2211yescharacteristic
181C17×#388C2211yescharacteristic, complemented
182C17×#388C2211yescharacteristic, complemented
183C17×#388C2211yescharacteristic, complemented
184C17×#388C2211yescharacteristic, complemented
185C2×C17×#95C2211yescharacteristic, complemented
186C2×C17×#95C2211yescharacteristic, complemented
187C25×C17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C23×C4×C17C2311yescharacteristic
190C23×C4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C22×C22⋊D17—24no—
196C22×C22⋊D17—42no—
197C22×C22⋊D17—42no—
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C23×Dic17C2311yescharacteristic
207C23×Dic17C2311yescharacteristic
208C22×D68C2311yescharacteristic
209C22×D68C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×Dic34C2311yescharacteristic
212C2×C4⋊C4×C17—42no—
213C2×C4⋊C4×C17C2311yescharacteristic
214C2×C4⋊C4×C17C2311yescharacteristic
215C2×C4⋊C4×C17C2311yescharacteristic
216C2×C4⋊C4×C17C2311yescharacteristic
217C2×C22⋊C4×C17—24no—
218C2×C22⋊C4×C17—42no—
219C2×C22⋊C4×C17—42no—
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
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C42×C17—42no—
233C2×C42×C17C2311yescharacteristic
234C2×C42×C17C2311yescharacteristic
235C2×C42×C17C2311yescharacteristic
236C2×C42×C17C2311yescharacteristic
237#10587639—24no—
238C2×C22⋊Dic17—42no—
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
252#10587616—42no—
253#10587616—42no—
254#10587615—42no—
255#10587615—42no—
256#10587615—42no—
257C4×C22⋊D17—42no—
258C2×#63227C2311yescharacteristic
259C2×#63227C2311yescharacteristic
260C2×#63227C2311yescharacteristic
261C2×#63227C2311yescharacteristic
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
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×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294#10587610—42no—
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×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315#10587568—42no—
316#10587564—42no—
317#10587562—42no—
318#10587561—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—41no—
366C24×C17—41no—
367C24×C17—41no—
368C24×C17—41no—
369C24×C17#4114yes—
370C24×C17C2411yescharacteristic
371C24×C17C2411yescharacteristic
372C24×C17C2411yescharacteristic
373C23×D17—22no—
374C23×D17—41no—
375C23×D17—41no—
376C23×D17—41no—
377C23×D17—41no—
378C23×D17—41no—
379C23×D17—41no—
380C23×D17C2411yescharacteristic
381C23×D17C2411yescharacteristic
382C23×D17C2411yescharacteristic
383C22×C4×C17—22no—
384C22×C4×C17—22no—
385C22×C4×C17—22no—
386C22×C4×C17—22no—
387C22×C4×C17—22no—
388C22×C4×C17—22no—
389C22×C4×C17—22no—
390C22×C4×C17—22no—
391C22×C4×C17—22no—
392C22×C4×C17—41no—
393C22×C4×C17—41no—
394C22×C4×C17—41no—
395C22×C4×C17—41no—
396C22×C4×C17—41no—
397C22×C4×C17—41no—
398C22×C4×C17—41no—
399C22×C4×C17—41no—
400C22×C4×C17—41no—
401C22×C4×C17C2411yescharacteristic
402C22×C4×C17C2411yescharacteristic
403C22×C4×C17C2411yescharacteristic
404C22×C4×C17C2411yescharacteristic
405C22×C4×C17C2411yescharacteristic
406C22×C4×C17C2411yescharacteristic
407C22×C4×C17C2411yescharacteristic
408C22×C4×C17C2411yescharacteristic
409C22×C4×C17C2411yescharacteristic
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
412C22×C4×C17C2411yescharacteristic
413C2×C22⋊D17—22no—
414C2×C22⋊D17—22no—
415C2×C22⋊D17—22no—
416C2×C22⋊D17—22no—
417C2×C22⋊D17—22no—
418C2×C22⋊D17—22no—
419C2×C22⋊D17—22no—
420C2×C22⋊D17—22no—
421C2×C22⋊D17—22no—
422C2×C22⋊D17—22no—
423C2×C22⋊D17—22no—
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—41no—
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—416no—
435C22×Dic17—22no—
436C22×Dic17—41no—
437C22×Dic17—41no—
438C22×Dic17—41no—
439C22×Dic17—41no—
440C22×Dic17—41no—
441C22×Dic17—41no—
442C22×Dic17—41no—
443C22×Dic17—41no—
444C22×Dic17C2411yescharacteristic
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451C22×Dic17C2411yescharacteristic
452C22×Dic17C2411yescharacteristic
453C22×Dic17C2411yescharacteristic
454C22×Dic17C2411yescharacteristic
455C22×Dic17C2411yescharacteristic
456C22×Dic17C2411yescharacteristic
457C2×D68—22no—
458C2×D68—41no—
459C2×D68—41no—
460C2×D68—41no—
461C2×D68—41no—
462C2×D68—41no—
463C2×C4×D17—41no—
464C2×C4×D17—41no—
465C2×C4×D17—41no—
466C2×Dic34—22no—
467C2×Dic34—41no—
468C2×Dic34—41no—
469C4⋊C4×C17—41no—
470C4⋊C4×C17—41no—
471C4⋊C4×C17—41no—
472C4⋊C4×C17—41no—
473C22⋊C4×C17—22no—
474C22⋊C4×C17—22no—
475C22⋊C4×C17—22no—
476C22⋊C4×C17—22no—
477C22⋊C4×C17—22no—
478C22⋊C4×C17—22no—
479C22⋊C4×C17—41no—
480C22⋊C4×C17—41no—
481C22⋊C4×C17—41no—
482C22⋊C4×C17—41no—
483C22⋊C4×C17—41no—
484C22⋊C4×C17—41no—
485C42×C17—22no—
486C42×C17—22no—
487C42×C17—41no—
488C42×C17—41no—
489C22⋊Dic17—22no—
490C22⋊Dic17—22no—
491C22⋊Dic17—22no—
492C22⋊Dic17—22no—
493C22⋊Dic17—22no—
494C22⋊Dic17—22no—
495C22⋊Dic17—22no—
496C22⋊Dic17—41no—
497C22⋊Dic17—41no—
498C22⋊Dic17—41no—
499C22⋊Dic17—41no—
500C22⋊Dic17—41no—
501C22⋊Dic17—41no—
502#63227—22no—
503#63227—41no—
504#63227—41no—
505#63227—41no—
506#63227—41no—
507#63227—41no—
508#63227—41no—
509#63227—41no—
510#63227—41no—
511#63227—41no—
512#63227—41no—
513#63227—41no—
514#63227—41no—
515#63227—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—
525#63227—41no—
526#63227—41no—
527#63227—41no—
528#63227—41no—
529#63227—41no—
530#63227—41no—
531#63227—41no—
532#63227—41no—
533C4⋊Dic17—41no—
534C4⋊Dic17—41no—
535C4⋊Dic17—41no—
536C4⋊Dic17—41no—
537C4⋊Dic17—41no—
538#63225—22no—
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—
551#63225—41no—
552#63225—41no—
553#63225—41no—
554#63225—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—44no—
577C23×C17—44no—
578C23×C17—82no—
579C23×C17—82no—
580C23×C17—82no—
581C23×C17—82no—
582C23×C17C2×#4112yes—
583C23×C17C2×#4112yes—
584C23×C17C2×#4112yes—
585C23×C17H(5,𝔽2)12yes—
586C23×C17H(5,𝔽2)12yes—
587C23×C17C2511yescharacteristic
588C22×D17—21no—
589C22×D17—21no—
590C22×D17—21no—
591C22×D17—21no—
592C22×D17—21no—
593C22×D17—21no—
594C22×D17—21no—
595C22×D17—21no—
596C22×D17—21no—
597C22×D17—21no—
598C22×D17—21no—
599C22×D17—21no—
600C22×D17—21no—
601C22×D17—21no—
602C22×D17—21no—
603C22×D17—21no—
604C22×D17—21no—
605C22×D17—21no—
606C22×D17—21no—
607C22×D17—21no—
608C22×D17—21no—
609C22×D17—44no—
610C22×D17—82no—
611C22×D17—82no—
612C22×D17—82no—
613C22×D17—82no—
614C22×D17—82no—
615C22×D17—82no—
616C2×C4×C17—21no—
617C2×C4×C17—21no—
618C2×C4×C17—21no—
619C2×C4×C17—21no—
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—21no—
651C2×C4×C17—44no—
652C2×C4×C17—44no—
653C2×C4×C17—44no—
654C2×C4×C17—44no—
655C2×C4×C17—82no—
656C2×C4×C17—82no—
657C2×C4×C17H(5,𝔽2)12yes—
658C22⋊D17—44no—
659C22⋊D17—44no—
660C22⋊D17—44no—
661C22⋊D17—44no—
662C22⋊D17—44no—
663C22⋊D17—82no—
664C22⋊D17—82no—
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—82no—
706C2×Dic17—82no—
707D68—82no—
708D68—82no—
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#2308—171no—
741C2×#388D1711yescharacteristic, complemented
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—88no—
763C22×C17#53814yes—
764C22×C17C22×#4111yescharacteristic
765C22×C17C2×H(5,𝔽2)11yescharacteristic
766C22×C17C2×H(5,𝔽2)11yescharacteristic
767C22×C17C2×H(5,𝔽2)11yescharacteristic
768C22×C17#58511yescharacteristic
769C22×C17#58511yescharacteristic
770C22×C17#58511yescharacteristic
771C2×D17—41no—
772C2×D17—41no—
773C2×D17—41no—
774C2×D17—41no—
775C2×D17—41no—
776C2×D17—41no—
777C2×D17—41no—
778C2×D17—41no—
779C2×D17—41no—
780C2×D17—41no—
781C2×D17—41no—
782C2×D17—41no—
783C2×D17—41no—
784C2×D17—41no—
785C2×D17—41no—
786C2×D17—41no—
787C2×D17—41no—
788C2×D17—41no—
789C2×D17—41no—
790C2×D17—41no—
791C2×D17—41no—
792C2×D17—88no—
793C4×C17—22no—
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—
803C4×C17—41no—
804C4×C17—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×D4—171no—
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⋊C4C2×D1711yescharacteristic, complemented
832C22×C22⋊C4—171no—
833C22×C22⋊C4C2×D1711yescharacteristic
834C22×C22⋊C4C2×D1711yescharacteristic
835C22×C22⋊C4C2×D1711yescharacteristic
836C22×C42C2×D1711yescharacteristic, complemented
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#388C2×D1711yescharacteristic
909#388C2×D1711yescharacteristic
910#388C2×D1711yescharacteristic
911#388C2×D1711yescharacteristic
912#388C2×D1711yescharacteristic, complemented
913#388C2×D1711yescharacteristic, complemented
914#388C2×D1711yescharacteristic, complemented
915#388C2×D1711yescharacteristic, complemented
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#386—171no—
935#386—171no—
936#386—171no—
937#386—171no—
938#386—171no—
939#386—171no—
940#386—171no—
941#386—171no—
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#381—171no—
958#381—171no—
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#379—171no—
969#379—171no—
970C4×C22⋊C4—171no—
971C2×#95C2×D1711yescharacteristic, complemented
972C2×#95C2×D1711yescharacteristic, complemented
973C2×C17—24no—
974C2×C17—42no—
975C2×C17—42no—
976C2×C17C2×#53811yescharacteristic
977C2×C17#349111yescharacteristic
978C2×C17#350511yescharacteristic
979C2×C17#353411yescharacteristic
980C2×C17#354211yescharacteristic
981C2×C17#354511yescharacteristic
982C2×C17#356011yescharacteristic
983D17—81no—
984D17—81no—
985D17—81no—
986C25—171no—
987C25C22×D1711yescharacteristic
988C22×Q8—171no—
989C22×D4—171no—
990C22×D4—171no—
991C22×D4—171no—
992C22×D4—171no—
993C22×D4—171no—
994C22×D4—171no—
995C22×D4—171no—
996C22×D4—171no—
997C22×D4—171no—
998C22×D4—344no—
999C22×D4—682no—
1000C22×D4—682no—
1001C23×C4—171no—
1002C23×C4—171no—
1003C23×C4—171no—
1004C23×C4—171no—
1005C23×C4C22×D1711yescharacteristic
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—42no—
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⋊C4C22×D1711yescharacteristic
1047C2×C4⋊C4C22×D1711yescharacteristic
1048C2×C4⋊C4C22×D1711yescharacteristic
1049C2×C4⋊C4C22×D1711yescharacteristic
1050C2×C22⋊C4—24no—
1051C2×C22⋊C4—42no—
1052C2×C22⋊C4—42no—
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—171no—
1093C2×C22⋊C4—171no—
1094C2×C22⋊C4—171no—
1095C2×C22⋊C4—171no—
1096C2×C22⋊C4—171no—
1097C2×C22⋊C4—682no—
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—42no—
1111C2×C42—171no—
1112C2×C42—171no—
1113C2×C42—171no—
1114C2×C42C22×D1711yescharacteristic
1115C2×C42C22×D1711yescharacteristic
1116C2×C42C22×D1711yescharacteristic
1117C2×C42C22×D1711yescharacteristic
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—41no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—171no—
1170C24—171no—
1171C24—171no—
1172C24—342no—
1173C24—681no—
1174C24—681no—
1175C24—681no—
1176C24—681no—
1177C24—681no—
1178C24—681no—
1179C24#6325214yes—
1180C24C23×D1711yescharacteristic
1181C24C23×D1711yescharacteristic
1182C24C23×D1711yescharacteristic
1183C2×Q8—342no—
1184C2×Q8—681no—
1185C2×Q8—681no—
1186C2×D4—342no—
1187C2×D4—342no—
1188C2×D4—342no—
1189C2×D4—342no—
1190C2×D4—342no—
1191C2×D4—342no—
1192C2×D4—342no—
1193C2×D4—342no—
1194C2×D4—342no—
1195C2×D4—342no—
1196C2×D4—342no—
1197C2×D4—342no—
1198C2×D4—342no—
1199C2×D4—342no—
1200C2×D4—681no—
1201C2×D4—681no—
1202C2×D4—681no—
1203C2×D4—681no—
1204C2×D4—681no—
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—6816no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
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—171no—
1245C22×C4—342no—
1246C22×C4—681no—
1247C22×C4—681no—
1248C22×C4—681no—
1249C22×C4—681no—
1250C22×C4—681no—
1251C22×C4—681no—
1252C22×C4—681no—
1253C22×C4—681no—
1254C22×C4—681no—
1255C22×C4—681no—
1256C22×C4—681no—
1257C22×C4C23×D1711yescharacteristic
1258C22×C4C23×D1711yescharacteristic
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—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—342no—
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—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—342no—
1308C22⋊C4—342no—
1309C22⋊C4—342no—
1310C22⋊C4—342no—
1311C22⋊C4—342no—
1312C22⋊C4—342no—
1313C22⋊C4—342no—
1314C22⋊C4—342no—
1315C22⋊C4—681no—
1316C22⋊C4—681no—
1317C22⋊C4—681no—
1318C22⋊C4—681no—
1319C22⋊C4—681no—
1320C22⋊C4—681no—
1321C22⋊C4—681no—
1322C22⋊C4—681no—
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—22no—
1352C42—22no—
1353C42—41no—
1354C42—41no—
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—44no—
1376C23—44no—
1377C23—82no—
1378C23—82no—
1379C23—82no—
1380C23—82no—
1381C23—341no—
1382C23—341no—
1383C23—341no—
1384C23—341no—
1385C23—341no—
1386C23—341no—
1387C23—341no—
1388C23—341no—
1389C23—341no—
1390C23—341no—
1391C23—341no—
1392C23—341no—
1393C23—341no—
1394C23—341no—
1395C23—341no—
1396C23—341no—
1397C23—341no—
1398C23—341no—
1399C23—341no—
1400C23—341no—
1401C23—341no—
1402C23—684no—
1403C23—1362no—
1404C23—1362no—
1405C23—1362no—
1406C23—1362no—
1407C23—1362no—
1408C23—1362no—
1409C23C2×#6325212yes—
1410C23C2×#6325212yes—
1411C23C2×#6325212yes—
1412C23#1058769112yes—
1413C23#1058769612yes—
1414C23C24×D1711yescharacteristic
1415Q8—1362no—
1416D4—684no—
1417D4—684no—
1418D4—684no—
1419D4—684no—
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—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—82no—
1465C2×C4—82no—
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—1362no—
1507C2×C4—1362no—
1508C2×C4—1362no—
1509C2×C4#1058769112yes—
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—88no—
1531C22—681no—
1532C22—681no—
1533C22—681no—
1534C22—681no—
1535C22—681no—
1536C22—681no—
1537C22—681no—
1538C22—681no—
1539C22—681no—
1540C22—681no—
1541C22—681no—
1542C22—681no—
1543C22—681no—
1544C22—681no—
1545C22—681no—
1546C22—681no—
1547C22—681no—
1548C22—681no—
1549C22—681no—
1550C22—681no—
1551C22—681no—
1552C22—1368no—
1553C22#1176339214yes—
1554C22C22×#6325211yescharacteristic
1555C22C2×#1058769111yescharacteristic
1556C22C2×#1058769111yescharacteristic
1557C22C2×#1058769611yescharacteristic
1558C22#1176364511yescharacteristic
1559C22#1176364511yescharacteristic
1560C22#1176364511yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
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—1361no—
1590C2—1361no—
1591C2—1361no—
1592C2C2×#1176339211yescharacteristic
1593C2#1454248211yescharacteristic
1594C2#1454262311yescharacteristic
1595C2#1454297811yescharacteristic
1596C2#1454310411yescharacteristic
1597C2#1454314111yescharacteristic
1598C2#1454333611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC2×C17×#388C2
prime radical#14532152C2
hypercenterC2×#388D17
hypocenterC17#36779
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#388

Complements

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

NH ≅ G/Ntype
1. #14537099C2semidirect
2. #14537085C2semidirect
3. #14536447C2semidirect
4. #14536442C2semidirect
5. #14536397C2semidirect
6. #14536217C2semidirect
7. #14536209C2semidirect
8. #14536169C2semidirect
9. #14536101C2semidirect
10. #14536002C2semidirect
11. #14535924C2semidirect
12. #14535900C2semidirect
13. #14535822C2semidirect
14. #14535820C2semidirect
15. #14535781C2semidirect
16. #14535413C2semidirect
17. #14535178C2semidirect
18. #14535165C2semidirect
19. #14534564C2semidirect
20. #14534526C2semidirect
21. #14533344C2semidirect
22. #14533110C2semidirect
23. #14532534C2semidirect
24. #14532445C2semidirect
25. #14532335C2semidirect
26. #14532180C2semidirect
28. #14532111C2semidirect
29. #14531442C2semidirect
30. #14531359C2semidirect
31. C2×C17×#388C2semidirect
33. C2×#10587562C22semidirect
34. C2×#10587561C22semidirect
37. C2×#10587615C22semidirect
38. C2×#10587610C22semidirect
39. C2×#10587564C22semidirect
44. C2×C4×C22⋊D17C22semidirect
46. C17⋊#401C22semidirect
47. #11762751C22semidirect
48. #11762751C22semidirect
49. #11762751C22semidirect
50. #11762750C22semidirect
51. #11762747C22semidirect
52. #11762747C22semidirect
54. #11762744C22semidirect
55. #11762744C22semidirect
56. #11762743C22semidirect
57. #11762740C22semidirect
58. #11762740C22semidirect
59. #11762739C22semidirect
60. #11762739C22semidirect
61. #11762738C22semidirect
62. #11762738C22semidirect
63. #11762738C22semidirect
64. #11762738C22semidirect
65. #11762738C22semidirect
68. #11762736C22semidirect
69. #11762735C22semidirect
70. #11762735C22semidirect
71. #11762733C22semidirect
74. #11762731C22semidirect
75. #11762731C22semidirect
76. #11762731C22semidirect
77. #11762731C22semidirect
78. #11762727C22semidirect
79. #11762727C22semidirect
80. #11762726C22semidirect
81. #11762726C22semidirect
90. #11762722C22semidirect
94. #11762715C22semidirect
95. #11762713C22semidirect
96. #11762711C22semidirect
98. #11762709C22semidirect
99. #11762706C22semidirect
101. #11762703C22semidirect
102. #11762701C22semidirect
103. #11762701C22semidirect
104. #11762700C22semidirect
105. #11762700C22semidirect
106. #11762700C22semidirect
107. #11762700C22semidirect
108. #11762700C22semidirect
109. #11762700C22semidirect
110. #11762700C22semidirect
111. #11762698C22semidirect
112. #11762698C22semidirect
113. #11762698C22semidirect
114. #11762698C22semidirect
116. #11762697C22semidirect
117. #11762696C22semidirect
118. #11762693C22semidirect
119. #11762693C22semidirect
120. #11762693C22semidirect
121. #11762692C22semidirect
130. #11762688C22semidirect
131. #11762688C22semidirect
132. #11762687C22semidirect
133. #11762687C22semidirect
139. #11762686C22semidirect
140. #11762686C22semidirect
142. #11762685C22semidirect
144. #11762684C22semidirect
145. #11762682C22semidirect
146. #11762682C22semidirect
147. #11762682C22semidirect
148. #11762682C22semidirect
151. #11762681C22semidirect
152. #11762677C22semidirect
153. #11762676C22semidirect
154. #11762675C22semidirect
155. #11762673C22semidirect
156. #11762672C22semidirect
157. #11762671C22semidirect
160. #11762669C22semidirect
161. #11762668C22semidirect
162. #11762667C22semidirect
163. #11762667C22semidirect
164. #11762667C22semidirect
171. C4×C22⋊Dic17C22semidirect
172. C22×C4⋊C4×C17C22semidirect
176. C22×C42×C17C22semidirect
181. C17×#388C22semidirect
182. C17×#388C22semidirect
183. C17×#388C22semidirect
184. C17×#388C22semidirect
185. C2×C17×#95C22semidirect
186. C2×C17×#95C22semidirect
741. C2×#388D17semidirect
831. C22×C4⋊C4C2×D17semidirect
836. C22×C42C2×D17semidirect
912. #388C2×D17semidirect
913. #388C2×D17semidirect
914. #388C2×D17semidirect
915. #388C2×D17semidirect
971. C2×#95C2×D17semidirect
972. C2×#95C2×D17semidirect
1162. C17#36779semidirect

Maximal subgroups

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

subgroupindex
#145370992
#145370852
#145364472
#145364422
#145363972
#145362172
#145362092
#145361692
#145361012
#145360022
#145359242
#145359002
#145358222
#145358202
#145357812
#145354132
#145351782
#145351652
#145345642
#145345262
#145333442
#145331102
#145325342
#145324452
#145323352
#145321802
#145321522
#145321112
#145314422
#145313592
C2×C17×#3882
#3677917