Finite Group Databasebeta

← #17242757

Subgroups — #17242757

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#14537098C211yesmaximal, characteristic, complemented
2#14537082C211yesmaximal, characteristic, complemented
3#14536446C211yesmaximal, characteristic, complemented
4#14536445C211yesmaximal, characteristic, complemented
5#14536401C211yesmaximal, characteristic, complemented
6#14536213C211yesmaximal, characteristic, complemented
7#14536211C211yesmaximal, characteristic, complemented
8#14536177C211yesmaximal, characteristic, complemented
9#14536104C211yesmaximal, characteristic, complemented
10#14536006C211yesmaximal, characteristic, complemented
11#14535924C211yesmaximal, characteristic, complemented
12#14535897C211yesmaximal, characteristic, complemented
13#14535821C211yesmaximal, characteristic, complemented
14#14535788C211yesmaximal, characteristic, complemented
15#14535407C211yesmaximal, characteristic, complemented
16#14535179C211yesmaximal, characteristic, complemented
17#14535164C211yesmaximal, characteristic, complemented
18#14534569C211yesmaximal, characteristic, complemented
19#14534531C211yesmaximal, characteristic, complemented
20#14533337C211yesmaximal, characteristic, complemented
21#14533113C211yesmaximal, characteristic, complemented
22#14532541C211yesmaximal, characteristic, complemented
23#14532446C211yesmaximal, characteristic, complemented
24#14532340C211yesmaximal, characteristic, complemented
25#14532173C211yesmaximal, characteristic, complemented
26#14532160C211yesmaximal, characteristic
27#14532109C211yesmaximal, characteristic, complemented
28#14531446C211yesmaximal, characteristic, complemented
29#14531360C211yesmaximal, characteristic, complemented
30D17×#388C211yesmaximal, characteristic, complemented
31C17×#2735C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C2×#10587565C2211yescharacteristic, complemented
34C2×#10587571C2211yescharacteristic, complemented
35C2×#10587580C2211yescharacteristic, complemented
36C2×#10587569C2211yescharacteristic
37C2×#10587569C2211yescharacteristic
38C2×#10587583C2211yescharacteristic, complemented
39C2×#10587582C2211yescharacteristic, complemented
40C2×#10587570C2211yescharacteristic
41C2×#10587570C2211yescharacteristic
42C2×#10587568C2211yescharacteristic
43C2×#10587639C2211yescharacteristic
44C2×C4×D68C2211yescharacteristic, complemented
45C2×C4⋊C4×D17C2211yescharacteristic, complemented
46C2×C22⋊C4×D17C2211yescharacteristic
47C2×C22⋊C4×D17C2211yescharacteristic
48C2×C22⋊C4×D17C2211yescharacteristic
49C2×C22⋊C4×D17C2211yescharacteristic
50C2×C42×D17C2211yescharacteristic, complemented
51C17⋊#401C2211yescharacteristic, complemented
52#11762751C2211yescharacteristic, complemented
53#11762750C2211yescharacteristic, complemented
54#11762749C2211yescharacteristic, complemented
55#11762749C2211yescharacteristic, complemented
56#11762749C2211yescharacteristic, complemented
57#11762747C2211yescharacteristic, complemented
58#11762745C2211yescharacteristic
59#11762745C2211yescharacteristic, complemented
60#11762743C2211yescharacteristic, complemented
61#11762742C2211yescharacteristic, complemented
62#11762742C2211yescharacteristic, complemented
63#11762742C2211yescharacteristic, complemented
64#11762742C2211yescharacteristic, complemented
65#11762737C2211yescharacteristic
66#11762737C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic, complemented
68#11762736C2211yescharacteristic, complemented
69#11762735C2211yescharacteristic, complemented
70#11762734C2211yescharacteristic, complemented
71#11762734C2211yescharacteristic, complemented
72#11762732C2211yescharacteristic
73#11762732C2211yescharacteristic, complemented
74#11762732C2211yescharacteristic, complemented
75#11762731C2211yescharacteristic, complemented
76#11762731C2211yescharacteristic, complemented
77#11762725C2211yescharacteristic
78#11762725C2211yescharacteristic
79#11762725C2211yescharacteristic
80#11762725C2211yescharacteristic, complemented
81#11762725C2211yescharacteristic, complemented
82#11762724C2211yescharacteristic
83#11762724C2211yescharacteristic
84#11762724C2211yescharacteristic
85#11762724C2211yescharacteristic
86#11762724C2211yescharacteristic
87#11762724C2211yescharacteristic, complemented
88#11762724C2211yescharacteristic, complemented
89#11762721C2211yescharacteristic
90#11762721C2211yescharacteristic, complemented
91#11762718C2211yescharacteristic
92#11762718C2211yescharacteristic
93#11762713C2211yescharacteristic, complemented
94#11762713C2211yescharacteristic, complemented
95#11762710C2211yescharacteristic, complemented
96#11762709C2211yescharacteristic
97#11762709C2211yescharacteristic, complemented
98#11762707C2211yescharacteristic, complemented
99#11762703C2211yescharacteristic
100#11762703C2211yescharacteristic, complemented
101#11762703C2211yescharacteristic, complemented
102#11762703C2211yescharacteristic, complemented
103#11762702C2211yescharacteristic
104#11762702C2211yescharacteristic
105#11762702C2211yescharacteristic, complemented
106#11762702C2211yescharacteristic, complemented
107#11762701C2211yescharacteristic, complemented
108#11762701C2211yescharacteristic, complemented
109#11762700C2211yescharacteristic, complemented
110#11762700C2211yescharacteristic, complemented
111#11762700C2211yescharacteristic, complemented
112#11762699C2211yescharacteristic, complemented
113#11762699C2211yescharacteristic, complemented
114#11762698C2211yescharacteristic, complemented
115#11762697C2211yescharacteristic
116#11762697C2211yescharacteristic, complemented
117#11762697C2211yescharacteristic, complemented
118#11762695C2211yescharacteristic, complemented
119#11762695C2211yescharacteristic, complemented
120#11762693C2211yescharacteristic, complemented
121#11762693C2211yescharacteristic, complemented
122#11762692C2211yescharacteristic, complemented
123#11762687C2211yescharacteristic, complemented
124#11762687C2211yescharacteristic, complemented
125#11762687C2211yescharacteristic, complemented
126#11762687C2211yescharacteristic, complemented
127#11762687C2211yescharacteristic, complemented
128#11762686C2211yescharacteristic
129#11762685C2211yescharacteristic
130#11762685C2211yescharacteristic
131#11762685C2211yescharacteristic
132#11762685C2211yescharacteristic
133#11762685C2211yescharacteristic
134#11762685C2211yescharacteristic
135#11762685C2211yescharacteristic
136#11762685C2211yescharacteristic
137#11762685C2211yescharacteristic
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic
140#11762685C2211yescharacteristic
141#11762685C2211yescharacteristic
142#11762685C2211yescharacteristic, complemented
143#11762685C2211yescharacteristic, complemented
144#11762684C2211yescharacteristic
145#11762683C2211yescharacteristic, complemented
146#11762683C2211yescharacteristic, complemented
147#11762681C2211yescharacteristic
148#11762681C2211yescharacteristic
149#11762680C2211yescharacteristic, complemented
150#11762680C2211yescharacteristic, complemented
151#11762680C2211yescharacteristic, complemented
152#11762680C2211yescharacteristic, complemented
153#11762676C2211yescharacteristic, complemented
154#11762676C2211yescharacteristic, complemented
155#11762674C2211yescharacteristic, complemented
156#11762673C2211yescharacteristic, complemented
157#11762671C2211yescharacteristic, complemented
158#11762671C2211yescharacteristic, complemented
159#11762670C2211yescharacteristic
160#11762670C2211yescharacteristic
161#11762668C2211yescharacteristic, complemented
162#11762668C2211yescharacteristic, complemented
163#11762668C2211yescharacteristic, complemented
164#11762666C2211yescharacteristic, complemented
165#11762666C2211yescharacteristic, complemented
166#11762665C2211yescharacteristic
167#11762665C2211yescharacteristic
168#11762664C2211yescharacteristic
169#11762656C2211yescharacteristic, complemented
170#95×D17C2211yescharacteristic, complemented
171#95×D17C2211yescharacteristic, complemented
172C17×#399C2211yescharacteristic, complemented
173C17×#397C2211yescharacteristic
174C17×#397C2211yescharacteristic, complemented
175C17×#397C2211yescharacteristic, complemented
176C17×#396C2211yescharacteristic
177C17×#396C2211yescharacteristic, complemented
178C17×#388C2211yescharacteristic
179C17×#388C2211yescharacteristic
180C17×#388C2211yescharacteristic, complemented
181C17×#388C2211yescharacteristic, complemented
182C17×#388C2211yescharacteristic, complemented
183C17×#388C2211yescharacteristic, complemented
184C17×#379C2211yescharacteristic
185C17×#379C2211yescharacteristic
186C17×#379C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C22×C22⋊D17—24no—
190C22×C22⋊D17—42no—
191C22×C22⋊D17—42no—
192C22×C22⋊D17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C23×Dic17C2311yescharacteristic
200C22×D68C2311yescharacteristic
201C22×D68C2311yescharacteristic
202C22×C4×D17C2311yescharacteristic
203C22×C4×D17C2311yescharacteristic
204C22×C4×D17C2311yescharacteristic
205C22×C4×D17C2311yescharacteristic
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×Dic34C2311yescharacteristic
212C2×C4⋊C4×C17C2311yescharacteristic
213C2×C4⋊C4×C17C2311yescharacteristic
214C2×C4⋊C4×C17C2311yescharacteristic
215C2×C4⋊C4×C17C2311yescharacteristic
216C2×C4⋊C4×C17C2311yescharacteristic
217C2×C4⋊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
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C42×C17C2311yescharacteristic
237C2×C42×C17C2311yescharacteristic
238#10587639—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
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×#63227C2311yescharacteristic
255C2×#63227C2311yescharacteristic
256C2×#63227C2311yescharacteristic
257C2×#63227C2311yescharacteristic
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×C4⋊Dic17C2311yescharacteristic
278C2×C4⋊Dic17C2311yescharacteristic
279C2×C4⋊Dic17C2311yescharacteristic
280C2×C4⋊Dic17C2311yescharacteristic
281C2×C4⋊Dic17C2311yescharacteristic
282C2×C4⋊Dic17C2311yescharacteristic
283C2×C4⋊Dic17C2311yescharacteristic
284C2×#63225C2311yescharacteristic
285C2×#63225C2311yescharacteristic
286C2×#63225C2311yescharacteristic
287C2×#63225C2311yescharacteristic
288C2×#63225C2311yescharacteristic
289C2×#63225C2311yescharacteristic
290C2×#63225C2311yescharacteristic
291C2×#63225C2311yescharacteristic
292C2×#63225C2311yescharacteristic
293C2×#63225C2311yescharacteristic
294C2×#63225C2311yescharacteristic
295C2×#63225C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×C4×Dic17C2311yescharacteristic
298C2×C4×Dic17C2311yescharacteristic
299C2×C4×Dic17C2311yescharacteristic
300C2×C4×Dic17C2311yescharacteristic
301C2×C4×Dic17C2311yescharacteristic
302#10587583—42no—
303#10587582—42no—
304#10587580—42no—
305C4⋊C4×D17—42no—
306#10587571—42no—
307#10587570—42no—
308#10587570—42no—
309#10587569—42no—
310#10587569—42no—
311#10587568—24no—
312C22⋊C4×D17—24no—
313C22⋊C4×D17—42no—
314C22⋊C4×D17—42no—
315C22⋊C4×D17—42no—
316#10587565—42no—
317C4×D68—42no—
318C42×D17—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—41no—
365C24×C17—41no—
366C24×C17—41no—
367C24×C17—41no—
368C24×C17—41no—
369C24×C17—41no—
370C24×C17C2411yescharacteristic
371C24×C17C2411yescharacteristic
372C24×C17C2411yescharacteristic
373C23×D17—22no—
374C23×D17—22no—
375C23×D17—41no—
376C23×D17—41no—
377C23×D17—41no—
378C23×D17—41no—
379C23×D17#4114yes—
380C23×D17C2411yescharacteristic
381C23×D17C2411yescharacteristic
382C23×D17C2411yescharacteristic
383C22×C4×C17C2411yescharacteristic
384C22×C4×C17C2411yescharacteristic
385C22×C4×C17C2411yescharacteristic
386C22×C4×C17C2411yescharacteristic
387C22×C4×C17C2411yescharacteristic
388C22×C4×C17C2411yescharacteristic
389C22×C4×C17C2411yescharacteristic
390C22×C4×C17C2411yescharacteristic
391C22×C4×C17C2411yescharacteristic
392C22×C4×C17C2411yescharacteristic
393C22×C4×C17C2411yescharacteristic
394C22×C4×C17C2411yescharacteristic
395C2×C22⋊D17—22no—
396C2×C22⋊D17—22no—
397C2×C22⋊D17—22no—
398C2×C22⋊D17—22no—
399C2×C22⋊D17—22no—
400C2×C22⋊D17—22no—
401C2×C22⋊D17—22no—
402C2×C22⋊D17—22no—
403C2×C22⋊D17—22no—
404C2×C22⋊D17—22no—
405C2×C22⋊D17—41no—
406C2×C22⋊D17—41no—
407C2×C22⋊D17—41no—
408C2×C22⋊D17—41no—
409C2×C22⋊D17—41no—
410C2×C22⋊D17—41no—
411C2×C22⋊D17—41no—
412C2×C22⋊D17—41no—
413C2×C22⋊D17—41no—
414C2×C22⋊D17—41no—
415C2×C22⋊D17—41no—
416C2×C22⋊D17—416no—
417C22×Dic17—22no—
418C22×Dic17—41no—
419C22×Dic17—41no—
420C22×Dic17C2411yescharacteristic
421C22×Dic17C2411yescharacteristic
422C22×Dic17C2411yescharacteristic
423C22×Dic17C2411yescharacteristic
424C22×Dic17C2411yescharacteristic
425C22×Dic17C2411yescharacteristic
426C22×Dic17C2411yescharacteristic
427C22×Dic17C2411yescharacteristic
428C22×Dic17C2411yescharacteristic
429C22×Dic17C2411yescharacteristic
430C22×Dic17C2411yescharacteristic
431C22×Dic17C2411yescharacteristic
432C22×Dic17C2411yescharacteristic
433C2×D68—22no—
434C2×D68—22no—
435C2×D68—22no—
436C2×D68—22no—
437C2×D68—41no—
438C2×D68—41no—
439C2×C4×D17—22no—
440C2×C4×D17—22no—
441C2×C4×D17—22no—
442C2×C4×D17—22no—
443C2×C4×D17—22no—
444C2×C4×D17—22no—
445C2×C4×D17—22no—
446C2×C4×D17—22no—
447C2×C4×D17—22no—
448C2×C4×D17—41no—
449C2×C4×D17—41no—
450C2×C4×D17—41no—
451C2×C4×D17—41no—
452C2×C4×D17—41no—
453C2×C4×D17—41no—
454C2×C4×D17—41no—
455C2×C4×D17—41no—
456C2×C4×D17—41no—
457C2×C4×D17—41no—
458C2×C4×D17—41no—
459C2×C4×D17—41no—
460C2×C4×D17—41no—
461C2×C4×D17—41no—
462C2×C4×D17—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—
473C4⋊C4×C17—41no—
474C4⋊C4×C17—41no—
475C22⋊C4×C17—22no—
476C22⋊C4×C17—22no—
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⋊C4×C17—41no—
486C22⋊C4×C17—41no—
487C22⋊C4×C17—41no—
488C22⋊C4×C17—41no—
489C22⋊C4×C17—41no—
490C22⋊C4×C17—41no—
491C22⋊C4×C17—41no—
492C22⋊C4×C17—41no—
493C42×C17—41no—
494C42×C17—41no—
495C22⋊Dic17—22no—
496C22⋊Dic17—22no—
497C22⋊Dic17—22no—
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—
510#63227—22no—
511#63227—22no—
512#63227—22no—
513#63227—22no—
514#63227—22no—
515#63227—22no—
516#63227—22no—
517#63227—22no—
518#63227—22no—
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—22no—
534C4⋊Dic17—41no—
535C4⋊Dic17—41no—
536C4⋊Dic17—41no—
537C4⋊Dic17—41no—
538C4⋊Dic17—41no—
539C4⋊Dic17—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—
553C4×Dic17—22no—
554C4×Dic17—22no—
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—21no—
576C23×C17—21no—
577C23×C17—21no—
578C23×C17—21no—
579C23×C17—44no—
580C23×C17—82no—
581C23×C17—82no—
582C23×C17—82no—
583C23×C17—82no—
584C23×C17—82no—
585C23×C17—82no—
586C23×C17C2×#4112yes—
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—28no—
599C22×D17—21no—
600C22×D17—21no—
601C22×D17—21no—
602C22×D17—21no—
603C22×D17—21no—
604C22×D17—21no—
605C22×D17—21no—
606C22×D17—44no—
607C22×D17—44no—
608C22×D17—82no—
609C22×D17—82no—
610C22×D17—82no—
611C22×D17—82no—
612C22×D17C2×#4112yes—
613C22×D17C2×#4112yes—
614C22×D17H(5,𝔽2)12yes—
615C22×D17H(5,𝔽2)12yes—
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—21no—
652C22⋊D17—44no—
653C22⋊D17—44no—
654C22⋊D17—44no—
655C22⋊D17—44no—
656C22⋊D17—82no—
657C22⋊D17—82no—
658C22⋊D17—82no—
659C2×Dic17—21no—
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—44no—
698C2×Dic17H(5,𝔽2)12yes—
699D68—44no—
700D68—82no—
701C4×D17—44no—
702C4×D17—44no—
703C4×D17—44no—
704C4×D17—44no—
705C4×D17—82no—
706C4×D17—82no—
707C4×D17—82no—
708C4×D17—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#2735D1711yescharacteristic, complemented
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×#388—171no—
742C22×C17—22no—
743C22×C17—22no—
744C22×C17—22no—
745C22×C17—41no—
746C22×C17—41no—
747C22×C17—41no—
748C22×C17—41no—
749C22×C17—41no—
750C22×C17—41no—
751C22×C17—41no—
752C22×C17—41no—
753C22×C17—41no—
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—88no—
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—22no—
772C2×D17—22no—
773C2×D17—22no—
774C2×D17—22no—
775C2×D17—22no—
776C2×D17—22no—
777C2×D17—22no—
778C2×D17—22no—
779C2×D17—22no—
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—88no—
792C2×D17#53814yes—
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—
803C4×C17—41no—
804C4×C17—41no—
805Dic17—22no—
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⋊C4—171no—
832C22×C22⋊C4—171no—
833C22×C22⋊C4—171no—
834C22×C22⋊C4—171no—
835C22×C22⋊C4—171no—
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#399C2×D1711yescharacteristic, complemented
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#397C2×D1711yescharacteristic
860#397C2×D1711yescharacteristic, complemented
861#397C2×D1711yescharacteristic, complemented
862#396—171no—
863#396—171no—
864#396—171no—
865#396—171no—
866#396—171no—
867#396C2×D1711yescharacteristic
868#396C2×D1711yescharacteristic, complemented
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#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#379C2×D1711yescharacteristic
968#379C2×D1711yescharacteristic
969#379C2×D1711yescharacteristic
970C4×C22⋊C4—171no—
971C2×#95—171no—
972C2×#95—171no—
973C2×C17—42no—
974C2×C17—81no—
975C2×C17—81no—
976C2×C17C2×#53811yescharacteristic
977C2×C17#349111yescharacteristic
978C2×C17#350511yescharacteristic
979C2×C17#353411yescharacteristic
980C2×C17#354211yescharacteristic
981C2×C17#354511yescharacteristic
982C2×C17#356011yescharacteristic
983D17—24no—
984D17—42no—
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×C4—171no—
1006C23×C4—171no—
1007C23×C4—171no—
1008C23×C4—171no—
1009C23×C4—171no—
1010C23×C4—171no—
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—682no—
1044C2×C4⋊C4C22×D1711yescharacteristic
1045C2×C4⋊C4C22×D1711yescharacteristic
1046C2×C4⋊C4C22×D1711yescharacteristic
1047C2×C4⋊C4C22×D1711yescharacteristic
1048C2×C4⋊C4C22×D1711yescharacteristic
1049C2×C4⋊C4C22×D1711yescharacteristic
1050C2×C22⋊C4—171no—
1051C2×C22⋊C4—171no—
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—344no—
1089C2×C22⋊C4—682no—
1090C2×C22⋊C4—682no—
1091C2×C22⋊C4—682no—
1092C2×C22⋊C4C22×D1711yescharacteristic
1093C2×C22⋊C4C22×D1711yescharacteristic
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—682no—
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—41no—
1165C24—41no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—171no—
1171C24—171no—
1172C24—174no—
1173C24—171no—
1174C24—342no—
1175C24—342no—
1176C24—681no—
1177C24—681no—
1178C24—681no—
1179C24—681no—
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—171no—
1215C22×C4—171no—
1216C22×C4—171no—
1217C22×C4—171no—
1218C22×C4—171no—
1219C22×C4—171no—
1220C22×C4—171no—
1221C22×C4—171no—
1222C22×C4—171no—
1223C22×C4—171no—
1224C22×C4—171no—
1225C22×C4—171no—
1226C22×C4—171no—
1227C22×C4—342no—
1228C22×C4—342no—
1229C22×C4—342no—
1230C22×C4—342no—
1231C22×C4—342no—
1232C22×C4—342no—
1233C22×C4—342no—
1234C22×C4—342no—
1235C22×C4—342no—
1236C22×C4—342no—
1237C22×C4—681no—
1238C22×C4—681no—
1239C22×C4—681no—
1240C22×C4—681no—
1241C22×C4—681no—
1242C22×C4—681no—
1243C22×C4—681no—
1244C22×C4—681no—
1245C22×C4—681no—
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—41no—
1274C4⋊C4—41no—
1275C4⋊C4—342no—
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—41no—
1312C22⋊C4—41no—
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—342no—
1324C22⋊C4—342no—
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—41no—
1352C42—41no—
1353C42—342no—
1354C42—342no—
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—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—44no—
1379C23—82no—
1380C23—82no—
1381C23—82no—
1382C23—82no—
1383C23—82no—
1384C23—82no—
1385C23—172no—
1386C23—172no—
1387C23—172no—
1388C23—172no—
1389C23—348no—
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—341no—
1403C23—341no—
1404C23—341no—
1405C23—341no—
1406C23—341no—
1407C23—684no—
1408C23—684no—
1409C23—1362no—
1410C23—1362no—
1411C23—1362no—
1412C23—1362no—
1413C23#41×D1712yes—
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—21no—
1461C2×C4—172no—
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—684no—
1501C2×C4—684no—
1502C2×C4—684no—
1503C2×C4—684no—
1504C2×C4—684no—
1505C2×C4—1362no—
1506C2×C4—1362no—
1507C2×C4—1362no—
1508C2×C4—1362no—
1509C2×C4—1362no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—88no—
1532C22—174no—
1533C22—342no—
1534C22—342no—
1535C22—342no—
1536C22—342no—
1537C22—342no—
1538C22—342no—
1539C22—342no—
1540C22—342no—
1541C22—342no—
1542C22—681no—
1543C22—681no—
1544C22—681no—
1545C22—681no—
1546C22—681no—
1547C22—681no—
1548C22—681no—
1549C22—681no—
1550C22—681no—
1551C22—681no—
1552C22—681no—
1553C22—1368no—
1554C22C2×#41×D1711yescharacteristic
1555C22H(5,𝔽2)×D1711yescharacteristic
1556C22H(5,𝔽2)×D1711yescharacteristic
1557C22H(5,𝔽2)×D1711yescharacteristic
1558C22#1176364411yescharacteristic
1559C22#1176364511yescharacteristic
1560C22#1176364511yescharacteristic
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—342no—
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—42no—
1587C2—81no—
1588C2—81no—
1589C2—344no—
1590C2—682no—
1591C2—1361no—
1592C2D17×#53811yescharacteristic
1593C2#1454247511yescharacteristic
1594C2#1454261511yescharacteristic
1595C2#1454297311yescharacteristic
1596C2#1454308911yescharacteristic
1597C2#1454313711yescharacteristic
1598C2#1454332511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2735C2
prime radical#14532160C2
hypercenter#2735D17
hypocenterC17#36779
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2735

Complements

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

NH ≅ G/Ntype
1. #14537098C2semidirect
2. #14537082C2semidirect
3. #14536446C2semidirect
4. #14536445C2semidirect
5. #14536401C2semidirect
6. #14536213C2semidirect
7. #14536211C2semidirect
8. #14536177C2semidirect
9. #14536104C2semidirect
10. #14536006C2semidirect
11. #14535924C2semidirect
12. #14535897C2semidirect
13. #14535821C2semidirect
14. #14535788C2semidirect
15. #14535407C2semidirect
16. #14535179C2semidirect
17. #14535164C2semidirect
18. #14534569C2semidirect
19. #14534531C2semidirect
20. #14533337C2semidirect
21. #14533113C2semidirect
22. #14532541C2semidirect
23. #14532446C2semidirect
24. #14532340C2semidirect
25. #14532173C2semidirect
27. #14532109C2semidirect
28. #14531446C2semidirect
29. #14531360C2semidirect
30. D17×#388C2semidirect
31. C17×#2735C2semidirect
33. C2×#10587565C22semidirect
34. C2×#10587571C22semidirect
35. C2×#10587580C22semidirect
38. C2×#10587583C22semidirect
39. C2×#10587582C22semidirect
44. C2×C4×D68C22semidirect
45. C2×C4⋊C4×D17C22semidirect
50. C2×C42×D17C22semidirect
51. C17⋊#401C22semidirect
52. #11762751C22semidirect
53. #11762750C22semidirect
54. #11762749C22semidirect
55. #11762749C22semidirect
56. #11762749C22semidirect
57. #11762747C22semidirect
59. #11762745C22semidirect
60. #11762743C22semidirect
61. #11762742C22semidirect
62. #11762742C22semidirect
63. #11762742C22semidirect
64. #11762742C22semidirect
66. #11762737C22semidirect
67. #11762737C22semidirect
68. #11762736C22semidirect
69. #11762735C22semidirect
70. #11762734C22semidirect
71. #11762734C22semidirect
73. #11762732C22semidirect
74. #11762732C22semidirect
75. #11762731C22semidirect
76. #11762731C22semidirect
80. #11762725C22semidirect
81. #11762725C22semidirect
87. #11762724C22semidirect
88. #11762724C22semidirect
90. #11762721C22semidirect
93. #11762713C22semidirect
94. #11762713C22semidirect
95. #11762710C22semidirect
97. #11762709C22semidirect
98. #11762707C22semidirect
100. #11762703C22semidirect
101. #11762703C22semidirect
102. #11762703C22semidirect
105. #11762702C22semidirect
106. #11762702C22semidirect
107. #11762701C22semidirect
108. #11762701C22semidirect
109. #11762700C22semidirect
110. #11762700C22semidirect
111. #11762700C22semidirect
112. #11762699C22semidirect
113. #11762699C22semidirect
114. #11762698C22semidirect
116. #11762697C22semidirect
117. #11762697C22semidirect
118. #11762695C22semidirect
119. #11762695C22semidirect
120. #11762693C22semidirect
121. #11762693C22semidirect
122. #11762692C22semidirect
123. #11762687C22semidirect
124. #11762687C22semidirect
125. #11762687C22semidirect
126. #11762687C22semidirect
127. #11762687C22semidirect
142. #11762685C22semidirect
143. #11762685C22semidirect
145. #11762683C22semidirect
146. #11762683C22semidirect
149. #11762680C22semidirect
150. #11762680C22semidirect
151. #11762680C22semidirect
152. #11762680C22semidirect
153. #11762676C22semidirect
154. #11762676C22semidirect
155. #11762674C22semidirect
156. #11762673C22semidirect
157. #11762671C22semidirect
158. #11762671C22semidirect
161. #11762668C22semidirect
162. #11762668C22semidirect
163. #11762668C22semidirect
164. #11762666C22semidirect
165. #11762666C22semidirect
169. #11762656C22semidirect
170. #95×D17C22semidirect
171. #95×D17C22semidirect
172. C17×#399C22semidirect
174. C17×#397C22semidirect
175. C17×#397C22semidirect
177. C17×#396C22semidirect
180. C17×#388C22semidirect
181. C17×#388C22semidirect
182. C17×#388C22semidirect
183. C17×#388C22semidirect
724. #2735D17semidirect
846. #399C2×D17semidirect
860. #397C2×D17semidirect
861. #397C2×D17semidirect
868. #396C2×D17semidirect
912. #388C2×D17semidirect
913. #388C2×D17semidirect
914. #388C2×D17semidirect
915. #388C2×D17semidirect
1162. C17#36779semidirect

Maximal subgroups

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

subgroupindex
#145370982
#145370822
#145364462
#145364452
#145364012
#145362132
#145362112
#145361772
#145361042
#145360062
#145359242
#145358972
#145358212
#145357882
#145354072
#145351792
#145351642
#145345692
#145345312
#145333372
#145331132
#145325412
#145324462
#145323402
#145321732
#145321602
#145321092
#145314462
#145313602
D17×#3882
C17×#27352
#3677917