Finite Group Databasebeta

← #17242743

Subgroups — #17242743

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#14537096C211yesmaximal, characteristic, complemented
2#14537084C211yesmaximal, characteristic, complemented
3#14536451C211yesmaximal, characteristic, complemented
4#14536445C211yesmaximal, characteristic, complemented
5#14536407C211yesmaximal, characteristic, complemented
6#14536225C211yesmaximal, characteristic, complemented
7#14536209C211yesmaximal, characteristic, complemented
8#14536165C211yesmaximal, characteristic, complemented
9#14536105C211yesmaximal, characteristic, complemented
10#14536005C211yesmaximal, characteristic, complemented
11#14535925C211yesmaximal, characteristic, complemented
12#14535898C211yesmaximal, characteristic, complemented
13#14535825C211yesmaximal, characteristic, complemented
14#14535821C211yesmaximal, characteristic, complemented
15#14535787C211yesmaximal, characteristic, complemented
16#14535406C211yesmaximal, characteristic, complemented
17#14535162C211yesmaximal, characteristic, complemented
18#14534569C211yesmaximal, characteristic, complemented
19#14534525C211yesmaximal, characteristic, complemented
20#14533343C211yesmaximal, characteristic, complemented
21#14533109C211yesmaximal, characteristic, complemented
22#14532527C211yesmaximal, characteristic, complemented
23#14532446C211yesmaximal, characteristic, complemented
24#14532336C211yesmaximal, characteristic, complemented
25#14532175C211yesmaximal, characteristic, complemented
26#14532154C211yesmaximal, characteristic
27#14532109C211yesmaximal, characteristic, complemented
28#14531443C211yesmaximal, characteristic, complemented
29#14531360C211yesmaximal, characteristic, complemented
30D17×#388C211yesmaximal, characteristic, complemented
31C17×#2685C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C2×#10587622C2211yescharacteristic, complemented
34C2×#10587569C2211yescharacteristic
35C2×#10587569C2211yescharacteristic
36C2×#10587569C2211yescharacteristic, complemented
37C2×#10587583C2211yescharacteristic, complemented
38C2×#10587582C2211yescharacteristic, complemented
39C2×#10587624C2211yescharacteristic
40C2×#10587624C2211yescharacteristic
41C2×#10587623C2211yescharacteristic
42C2×#10587567C2211yescharacteristic, complemented
43C2×C4⋊C4×D17C2211yescharacteristic, complemented
44C2×C22⋊C4×D17C2211yescharacteristic
45C2×C22⋊C4×D17C2211yescharacteristic
46C2×C22⋊C4×D17C2211yescharacteristic
47C2×C22⋊C4×D17C2211yescharacteristic
48C2×C42×D17C2211yescharacteristic, complemented
49C17⋊#401C2211yescharacteristic, complemented
50#11762751C2211yescharacteristic, complemented
51#11762751C2211yescharacteristic, complemented
52#11762749C2211yescharacteristic, complemented
53#11762748C2211yescharacteristic, complemented
54#11762747C2211yescharacteristic, complemented
55#11762747C2211yescharacteristic, complemented
56#11762745C2211yescharacteristic
57#11762745C2211yescharacteristic, complemented
58#11762743C2211yescharacteristic, complemented
59#11762742C2211yescharacteristic, complemented
60#11762742C2211yescharacteristic, complemented
61#11762741C2211yescharacteristic, complemented
62#11762739C2211yescharacteristic, complemented
63#11762737C2211yescharacteristic
64#11762737C2211yescharacteristic, complemented
65#11762737C2211yescharacteristic, complemented
66#11762737C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic, complemented
68#11762737C2211yescharacteristic, complemented
69#11762737C2211yescharacteristic, complemented
70#11762734C2211yescharacteristic
71#11762734C2211yescharacteristic, complemented
72#11762734C2211yescharacteristic, complemented
73#11762732C2211yescharacteristic
74#11762732C2211yescharacteristic, complemented
75#11762732C2211yescharacteristic, complemented
76#11762732C2211yescharacteristic, complemented
77#11762732C2211yescharacteristic, complemented
78#11762732C2211yescharacteristic, complemented
79#11762725C2211yescharacteristic
80#11762725C2211yescharacteristic
81#11762725C2211yescharacteristic
82#11762725C2211yescharacteristic
83#11762724C2211yescharacteristic
84#11762724C2211yescharacteristic
85#11762723C2211yescharacteristic
86#11762723C2211yescharacteristic, complemented
87#11762721C2211yescharacteristic
88#11762721C2211yescharacteristic, complemented
89#11762717C2211yescharacteristic
90#11762717C2211yescharacteristic
91#11762715C2211yescharacteristic, complemented
92#11762713C2211yescharacteristic, complemented
93#11762709C2211yescharacteristic, complemented
94#11762708C2211yescharacteristic, complemented
95#11762703C2211yescharacteristic
96#11762703C2211yescharacteristic
97#11762703C2211yescharacteristic
98#11762703C2211yescharacteristic, complemented
99#11762702C2211yescharacteristic
100#11762702C2211yescharacteristic, complemented
101#11762702C2211yescharacteristic, complemented
102#11762702C2211yescharacteristic, complemented
103#11762702C2211yescharacteristic, complemented
104#11762702C2211yescharacteristic, complemented
105#11762701C2211yescharacteristic, complemented
106#11762700C2211yescharacteristic, complemented
107#11762700C2211yescharacteristic, complemented
108#11762699C2211yescharacteristic, complemented
109#11762699C2211yescharacteristic, complemented
110#11762698C2211yescharacteristic, complemented
111#11762697C2211yescharacteristic
112#11762697C2211yescharacteristic, complemented
113#11762697C2211yescharacteristic, complemented
114#11762697C2211yescharacteristic, complemented
115#11762697C2211yescharacteristic, complemented
116#11762697C2211yescharacteristic, complemented
117#11762695C2211yescharacteristic, complemented
118#11762693C2211yescharacteristic, complemented
119#11762690C2211yescharacteristic, complemented
120#11762690C2211yescharacteristic, complemented
121#11762690C2211yescharacteristic, complemented
122#11762689C2211yescharacteristic
123#11762689C2211yescharacteristic
124#11762689C2211yescharacteristic, complemented
125#11762689C2211yescharacteristic, complemented
126#11762686C2211yescharacteristic, complemented
127#11762685C2211yescharacteristic
128#11762685C2211yescharacteristic
129#11762685C2211yescharacteristic
130#11762685C2211yescharacteristic
131#11762685C2211yescharacteristic
132#11762685C2211yescharacteristic
133#11762685C2211yescharacteristic
134#11762685C2211yescharacteristic
135#11762685C2211yescharacteristic
136#11762685C2211yescharacteristic
137#11762685C2211yescharacteristic
138#11762685C2211yescharacteristic
139#11762685C2211yescharacteristic, complemented
140#11762685C2211yescharacteristic, complemented
141#11762685C2211yescharacteristic, complemented
142#11762685C2211yescharacteristic, complemented
143#11762684C2211yescharacteristic
144#11762684C2211yescharacteristic
145#11762683C2211yescharacteristic, complemented
146#11762681C2211yescharacteristic
147#11762680C2211yescharacteristic, complemented
148#11762680C2211yescharacteristic, complemented
149#11762680C2211yescharacteristic, complemented
150#11762680C2211yescharacteristic, complemented
151#11762680C2211yescharacteristic, complemented
152#11762677C2211yescharacteristic, complemented
153#11762676C2211yescharacteristic, complemented
154#11762675C2211yescharacteristic, complemented
155#11762674C2211yescharacteristic, complemented
156#11762671C2211yescharacteristic, complemented
157#11762670C2211yescharacteristic
158#11762670C2211yescharacteristic
159#11762670C2211yescharacteristic, complemented
160#11762668C2211yescharacteristic, complemented
161#11762668C2211yescharacteristic, complemented
162#11762667C2211yescharacteristic, complemented
163#11762666C2211yescharacteristic, complemented
164#11762666C2211yescharacteristic, complemented
165#11762665C2211yescharacteristic
166#11762665C2211yescharacteristic
167#11762665C2211yescharacteristic
168#11762664C2211yescharacteristic
169C4×#63227C2211yescharacteristic, complemented
170#95×D17C2211yescharacteristic, complemented
171#95×D17C2211yescharacteristic, complemented
172C2×C17×#126C2211yescharacteristic, complemented
173C2×C17×#120C2211yescharacteristic
174C17×#399C2211yescharacteristic, complemented
175C17×#396C2211yescharacteristic
176C17×#394C2211yescharacteristic
177C17×#394C2211yescharacteristic, complemented
178C17×#394C2211yescharacteristic, complemented
179C17×#394C2211yescharacteristic, complemented
180C17×#390C2211yescharacteristic
181C17×#390C2211yescharacteristic, complemented
182C17×#388C2211yescharacteristic
183C17×#388C2211yescharacteristic, complemented
184C17×#388C2211yescharacteristic, complemented
185C17×#379C2211yescharacteristic
186C17×#379C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×C22⋊D17—24no—
193C22×C22⋊D17—42no—
194C22×C22⋊D17—42no—
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C23×Dic17C2311yescharacteristic
202C23×Dic17C2311yescharacteristic
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
212C17×#126—42no—
213C17×#120—42no—
214C2×C4⋊C4×C17C2311yescharacteristic
215C2×C4⋊C4×C17C2311yescharacteristic
216C2×C4⋊C4×C17C2311yescharacteristic
217C2×C4⋊C4×C17C2311yescharacteristic
218C2×C4⋊C4×C17C2311yescharacteristic
219C2×C4⋊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×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C42×C17C2311yescharacteristic
240C2×C42×C17C2311yescharacteristic
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
264#10587624—42no—
265#10587624—42no—
266#10587623—24no—
267#10587622—42no—
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×C4⋊Dic17C2311yescharacteristic
283C2×C4⋊Dic17C2311yescharacteristic
284C2×C4⋊Dic17C2311yescharacteristic
285C2×C4⋊Dic17C2311yescharacteristic
286C2×C4⋊Dic17C2311yescharacteristic
287C2×C4⋊Dic17C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
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×C4×Dic17C2311yescharacteristic
303C2×C4×Dic17C2311yescharacteristic
304C2×C4×Dic17C2311yescharacteristic
305C2×C4×Dic17C2311yescharacteristic
306C2×C4×Dic17C2311yescharacteristic
307#10587583—42no—
308#10587582—42no—
309C4⋊C4×D17—42no—
310#10587569—42no—
311#10587569—42no—
312#10587569—42no—
313#10587567—42no—
314C22⋊C4×D17—24no—
315C22⋊C4×D17—42no—
316C22⋊C4×D17—42no—
317C22⋊C4×D17—42no—
318C42×D17—42no—
319C17×#95C2311yescharacteristic
320C17×#95C2311yescharacteristic
321C17×#95C2311yescharacteristic
322C17×#95C2311yescharacteristic
323#10587502C2311yescharacteristic
324#10587502C2311yescharacteristic
325#10587502C2311yescharacteristic
326#10587502C2311yescharacteristic
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
373C24×C17C2411yescharacteristic
374C23×D17—22no—
375C23×D17—22no—
376C23×D17—41no—
377C23×D17—41no—
378C23×D17—41no—
379C23×D17—41no—
380C23×D17#4114yes—
381C23×D17C2411yescharacteristic
382C23×D17C2411yescharacteristic
383C2×D4×C17—22no—
384C2×D4×C17—22no—
385C2×D4×C17—41no—
386C2×D4×C17—41no—
387C2×D4×C17—41no—
388C2×D4×C17—41no—
389C2×D4×C17—41no—
390C2×D4×C17—41no—
391C2×D4×C17—41no—
392C22×C4×C17C2411yescharacteristic
393C22×C4×C17C2411yescharacteristic
394C22×C4×C17C2411yescharacteristic
395C22×C4×C17C2411yescharacteristic
396C22×C4×C17C2411yescharacteristic
397C22×C4×C17C2411yescharacteristic
398C22×C4×C17C2411yescharacteristic
399C22×C4×C17C2411yescharacteristic
400C22×C4×C17C2411yescharacteristic
401C22×C4×C17C2411yescharacteristic
402C22×C4×C17C2411yescharacteristic
403C2×C22⋊D17—22no—
404C2×C22⋊D17—22no—
405C2×C22⋊D17—22no—
406C2×C22⋊D17—22no—
407C2×C22⋊D17—22no—
408C2×C22⋊D17—22no—
409C2×C22⋊D17—22no—
410C2×C22⋊D17—22no—
411C2×C22⋊D17—22no—
412C2×C22⋊D17—22no—
413C2×C22⋊D17—22no—
414C2×C22⋊D17—22no—
415C2×C22⋊D17—41no—
416C2×C22⋊D17—41no—
417C2×C22⋊D17—41no—
418C2×C22⋊D17—41no—
419C2×C22⋊D17—41no—
420C2×C22⋊D17—41no—
421C2×C22⋊D17—416no—
422C22×Dic17—22no—
423C22×Dic17—41no—
424C22×Dic17—41no—
425C22×Dic17—41no—
426C22×Dic17—41no—
427C22×Dic17—41no—
428C22×Dic17C2411yescharacteristic
429C22×Dic17C2411yescharacteristic
430C22×Dic17C2411yescharacteristic
431C22×Dic17C2411yescharacteristic
432C22×Dic17C2411yescharacteristic
433C22×Dic17C2411yescharacteristic
434C22×Dic17C2411yescharacteristic
435C22×Dic17C2411yescharacteristic
436C22×Dic17C2411yescharacteristic
437C22×Dic17C2411yescharacteristic
438C22×Dic17C2411yescharacteristic
439C22×Dic17C2411yescharacteristic
440C22×Dic17C2411yescharacteristic
441C22×Dic17C2411yescharacteristic
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—22no—
449C2×C4×D17—22no—
450C2×C4×D17—22no—
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—22no—
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—22no—
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—
493C22⋊C4×C17—41no—
494C42×C17—22no—
495C42×C17—41no—
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—
510C22⋊Dic17—41no—
511C22⋊Dic17—41no—
512C22⋊Dic17—41no—
513C22⋊Dic17—41no—
514C22⋊Dic17—41no—
515C22⋊Dic17—41no—
516C22⋊Dic17—41no—
517C22⋊Dic17—41no—
518C22⋊Dic17—41no—
519#63227—22no—
520#63227—22no—
521#63227—22no—
522#63227—22no—
523#63227—22no—
524#63227—22no—
525#63227—22no—
526#63227—22no—
527#63227—22no—
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—
538C4⋊Dic17—41no—
539C4⋊Dic17—41no—
540C4⋊Dic17—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—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—21no—
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—44no—
587C23×C17—82no—
588C23×C17—82no—
589C23×C17—82no—
590C23×C17—82no—
591C23×C17—82no—
592C23×C17—82no—
593C23×C17C2×#4112yes—
594C23×C17C2511yescharacteristic
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—28no—
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—
616D4×C17—82no—
617D4×C17—82no—
618D4×C17—82no—
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×C17H(5,𝔽2)12yes—
652C22⋊D17—44no—
653C22⋊D17—44no—
654C22⋊D17—44no—
655C22⋊D17—44no—
656C22⋊D17—44no—
657C22⋊D17—82no—
658C2×Dic17—21no—
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—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—44no—
701C2×Dic17—82no—
702C4×D17—44no—
703C4×D17—44no—
704C4×D17—44no—
705C4×D17—44no—
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#2735—171no—
725#2730—171no—
726#2702—171no—
727#2685D1711yescharacteristic, complemented
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—41no—
764C22×C17—41no—
765C22×C17—41no—
766C22×C17—41no—
767C22×C17—41no—
768C22×C17—41no—
769C22×C17—41no—
770C22×C17—88no—
771C22×C17C22×#4111yescharacteristic
772C22×C17C2×H(5,𝔽2)11yescharacteristic
773C22×C17C2×H(5,𝔽2)11yescharacteristic
774C22×C17C2×H(5,𝔽2)11yescharacteristic
775C22×C17#58511yescharacteristic
776C22×C17#58511yescharacteristic
777C22×C17#58511yescharacteristic
778C2×D17—22no—
779C2×D17—22no—
780C2×D17—22no—
781C2×D17—22no—
782C2×D17—22no—
783C2×D17—22no—
784C2×D17—22no—
785C2×D17—22no—
786C2×D17—22no—
787C2×D17—41no—
788C2×D17—41no—
789C2×D17—41no—
790C2×D17—41no—
791C2×D17—88no—
792C2×D17#53814yes—
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—
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×D4—171no—
819C2×#126C2×D1711yescharacteristic, complemented
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×#120C2×D1711yescharacteristic
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#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#396C2×D1711yescharacteristic
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#394C2×D1711yescharacteristic
878#394C2×D1711yescharacteristic, complemented
879#394C2×D1711yescharacteristic, complemented
880#394C2×D1711yescharacteristic, complemented
881#393—171no—
882#393—171no—
883#392—171no—
884#392—171no—
885#391—171no—
886#391—171no—
887#390—171no—
888#390C2×D1711yescharacteristic
889#390C2×D1711yescharacteristic, complemented
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#388C2×D1711yescharacteristic
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#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×C17—81no—
977C2×C17C2×#53811yescharacteristic
978C2×C17#349111yescharacteristic
979C2×C17#350511yescharacteristic
980C2×C17#353411yescharacteristic
981C2×C17#354211yescharacteristic
982C2×C17#354511yescharacteristic
983C2×C17#356011yescharacteristic
984D17—24no—
985D17—42no—
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—344no—
996C22×D4—682no—
997C22×D4—682no—
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×C4—171no—
1007C23×C4—171no—
1008C23×C4—171no—
1009C23×C4—171no—
1010C23×C4—171no—
1011#126—42no—
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—42no—
1021#120—344no—
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—344no—
1088C2×C22⋊C4—682no—
1089C2×C22⋊C4—682no—
1090C2×C22⋊C4—682no—
1091C2×C22⋊C4C22×D1711yescharacteristic
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#95—171no—
1155#95—171no—
1156#95—171no—
1157#95—171no—
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—342no—
1174C24—342no—
1175C24—681no—
1176C24—681no—
1177C24—681no—
1178C24—681no—
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—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—342no—
1196C2×D4—342no—
1197C2×D4—342no—
1198C2×D4—342no—
1199C2×D4—342no—
1200C2×D4—342no—
1201C2×D4—342no—
1202C2×D4—342no—
1203C2×D4—342no—
1204C2×D4—342no—
1205C2×D4—342no—
1206C2×D4—342no—
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—171no—
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—342no—
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×C4—681no—
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—22no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
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—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—41no—
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—22no—
1352C42—41no—
1353C42—342no—
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—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—44no—
1386C23—82no—
1387C23—82no—
1388C23—82no—
1389C23—82no—
1390C23—82no—
1391C23—82no—
1392C23—172no—
1393C23—172no—
1394C23—172no—
1395C23—172no—
1396C23—348no—
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—82no—
1417D4—82no—
1418D4—82no—
1419D4—684no—
1420D4—684no—
1421D4—684no—
1422D4—684no—
1423D4—684no—
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—341no—
1458C2×C4—341no—
1459C2×C4—341no—
1460C2×C4—341no—
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—684no—
1500C2×C4—684no—
1501C2×C4—684no—
1502C2×C4—684no—
1503C2×C4—684no—
1504C2×C4—1362no—
1505C2×C4—1362no—
1506C2×C4—1362no—
1507C2×C4—1362no—
1508C2×C4—1362no—
1509C2×C4#1058769112yes—
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—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—88no—
1539C22—174no—
1540C22—342no—
1541C22—342no—
1542C22—342no—
1543C22—342no—
1544C22—342no—
1545C22—342no—
1546C22—342no—
1547C22—342no—
1548C22—342no—
1549C22—681no—
1550C22—681no—
1551C22—681no—
1552C22—681no—
1553C22—1368no—
1554C22C2×#41×D1711yescharacteristic
1555C22H(5,𝔽2)×D1711yescharacteristic
1556C22H(5,𝔽2)×D1711yescharacteristic
1557C22C2×#1058769111yescharacteristic
1558C22#1176364411yescharacteristic
1559C22#1176364411yescharacteristic
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—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—42no—
1587C2—81no—
1588C2—81no—
1589C2—81no—
1590C2—344no—
1591C2—682no—
1592C2D17×#53811yescharacteristic
1593C2#1454247511yescharacteristic
1594C2#1454261111yescharacteristic
1595C2#1454296611yescharacteristic
1596C2#1454310211yescharacteristic
1597C2#1454313511yescharacteristic
1598C2#1454333411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2685C2
prime radical#14532154C2
hypercenter#2685D17
hypocenterC17#36779
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
1. #14537096C2semidirect
2. #14537084C2semidirect
3. #14536451C2semidirect
4. #14536445C2semidirect
5. #14536407C2semidirect
6. #14536225C2semidirect
7. #14536209C2semidirect
8. #14536165C2semidirect
9. #14536105C2semidirect
10. #14536005C2semidirect
11. #14535925C2semidirect
12. #14535898C2semidirect
13. #14535825C2semidirect
14. #14535821C2semidirect
15. #14535787C2semidirect
16. #14535406C2semidirect
17. #14535162C2semidirect
18. #14534569C2semidirect
19. #14534525C2semidirect
20. #14533343C2semidirect
21. #14533109C2semidirect
22. #14532527C2semidirect
23. #14532446C2semidirect
24. #14532336C2semidirect
25. #14532175C2semidirect
27. #14532109C2semidirect
28. #14531443C2semidirect
29. #14531360C2semidirect
30. D17×#388C2semidirect
31. C17×#2685C2semidirect
33. C2×#10587622C22semidirect
36. C2×#10587569C22semidirect
37. C2×#10587583C22semidirect
38. C2×#10587582C22semidirect
42. C2×#10587567C22semidirect
43. C2×C4⋊C4×D17C22semidirect
48. C2×C42×D17C22semidirect
49. C17⋊#401C22semidirect
50. #11762751C22semidirect
51. #11762751C22semidirect
52. #11762749C22semidirect
53. #11762748C22semidirect
54. #11762747C22semidirect
55. #11762747C22semidirect
57. #11762745C22semidirect
58. #11762743C22semidirect
59. #11762742C22semidirect
60. #11762742C22semidirect
61. #11762741C22semidirect
62. #11762739C22semidirect
64. #11762737C22semidirect
65. #11762737C22semidirect
66. #11762737C22semidirect
67. #11762737C22semidirect
68. #11762737C22semidirect
69. #11762737C22semidirect
71. #11762734C22semidirect
72. #11762734C22semidirect
74. #11762732C22semidirect
75. #11762732C22semidirect
76. #11762732C22semidirect
77. #11762732C22semidirect
78. #11762732C22semidirect
86. #11762723C22semidirect
88. #11762721C22semidirect
91. #11762715C22semidirect
92. #11762713C22semidirect
93. #11762709C22semidirect
94. #11762708C22semidirect
98. #11762703C22semidirect
100. #11762702C22semidirect
101. #11762702C22semidirect
102. #11762702C22semidirect
103. #11762702C22semidirect
104. #11762702C22semidirect
105. #11762701C22semidirect
106. #11762700C22semidirect
107. #11762700C22semidirect
108. #11762699C22semidirect
109. #11762699C22semidirect
110. #11762698C22semidirect
112. #11762697C22semidirect
113. #11762697C22semidirect
114. #11762697C22semidirect
115. #11762697C22semidirect
116. #11762697C22semidirect
117. #11762695C22semidirect
118. #11762693C22semidirect
119. #11762690C22semidirect
120. #11762690C22semidirect
121. #11762690C22semidirect
124. #11762689C22semidirect
125. #11762689C22semidirect
126. #11762686C22semidirect
139. #11762685C22semidirect
140. #11762685C22semidirect
141. #11762685C22semidirect
142. #11762685C22semidirect
145. #11762683C22semidirect
147. #11762680C22semidirect
148. #11762680C22semidirect
149. #11762680C22semidirect
150. #11762680C22semidirect
151. #11762680C22semidirect
152. #11762677C22semidirect
153. #11762676C22semidirect
154. #11762675C22semidirect
155. #11762674C22semidirect
156. #11762671C22semidirect
159. #11762670C22semidirect
160. #11762668C22semidirect
161. #11762668C22semidirect
162. #11762667C22semidirect
163. #11762666C22semidirect
164. #11762666C22semidirect
169. C4×#63227C22semidirect
170. #95×D17C22semidirect
171. #95×D17C22semidirect
172. C2×C17×#126C22semidirect
174. C17×#399C22semidirect
177. C17×#394C22semidirect
178. C17×#394C22semidirect
179. C17×#394C22semidirect
181. C17×#390C22semidirect
183. C17×#388C22semidirect
184. C17×#388C22semidirect
727. #2685D17semidirect
819. C2×#126C2×D17semidirect
846. #399C2×D17semidirect
878. #394C2×D17semidirect
879. #394C2×D17semidirect
880. #394C2×D17semidirect
889. #390C2×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
#145370962
#145370842
#145364512
#145364452
#145364072
#145362252
#145362092
#145361652
#145361052
#145360052
#145359252
#145358982
#145358252
#145358212
#145357872
#145354062
#145351622
#145345692
#145345252
#145333432
#145331092
#145325272
#145324462
#145323362
#145321752
#145321542
#145321092
#145314432
#145313602
D17×#3882
C17×#26852
#3677917