Finite Group Databasebeta

← #17242219

Subgroups — #17242219

Order 4352.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14537128C211yesmaximal, characteristic, complemented
2#14537089C211yesmaximal, characteristic, complemented
3#14536712C211yesmaximal, characteristic, complemented
4#14536710C211yesmaximal, characteristic, complemented
5#14536645C211yesmaximal, characteristic, complemented
6#14536638C211yesmaximal, characteristic, complemented
7#14536595C211yesmaximal, characteristic, complemented
8#14536591C211yesmaximal, characteristic, complemented
9#14536065C211yesmaximal, characteristic, complemented
10#14536061C211yesmaximal, characteristic, complemented
11#14536053C211yesmaximal, characteristic, complemented
12#14536050C211yesmaximal, characteristic, complemented
13#14535537C211yesmaximal, characteristic, complemented
14#14535399C211yesmaximal, characteristic, complemented
15#14535398C211yesmaximal, characteristic, complemented
16#14535057C211yesmaximal, characteristic, complemented
17#14535046C211yesmaximal, characteristic, complemented
18#14534523C211yesmaximal, characteristic, complemented
19#14534523C211yesmaximal, characteristic, complemented
20#14532539C211yesmaximal, characteristic, complemented
21#14532527C211yesmaximal, characteristic, complemented
22#14532522C211yesmaximal, characteristic, complemented
23#14532518C211yesmaximal, characteristic, complemented
24#14532327C211yesmaximal, characteristic, complemented
25#14532321C211yesmaximal, characteristic, complemented
26#14532317C211yesmaximal, characteristic, complemented
27#14532315C211yesmaximal, characteristic, complemented
28#14531488C211yesmaximal, characteristic, complemented
29#14531481C211yesmaximal, characteristic, complemented
30D17×#388C211yesmaximal, characteristic, complemented
31C17×#2711C211yesmaximal, characteristic, complemented
32C2×#10587626C2211yescharacteristic, complemented
33C2×#10587615C2211yescharacteristic, complemented
34C2×#10587569C2211yescharacteristic, complemented
35C2×#10587581C2211yescharacteristic
36C2×#10587581C2211yescharacteristic
37C2×#10587570C2211yescharacteristic
38C2×#10587570C2211yescharacteristic
39C2×#10587570C2211yescharacteristic
40C2×#10587570C2211yescharacteristic
41C2×#10587570C2211yescharacteristic
42C2×#10587625C2211yescharacteristic
43C2×#10587624C2211yescharacteristic
44C2×#10587568C2211yescharacteristic
45C2×#10587568C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×#10587623C2211yescharacteristic
48C2×C4×D68C2211yescharacteristic
49C2×#10587579C2211yescharacteristic
50C2×C4×C22⋊D17C2211yescharacteristic
51C2×#10587567C2211yescharacteristic
52C2×C4⋊C4×D17C2211yescharacteristic
53C2×C22⋊C4×D17C2211yescharacteristic
54C2×C22⋊C4×D17C2211yescharacteristic
55C2×C22⋊C4×D17C2211yescharacteristic
56C2×C42×D17C2211yescharacteristic
57#11762751C2211yescharacteristic, complemented
58#11762748C2211yescharacteristic, complemented
59#11762744C2211yescharacteristic, complemented
60#11762743C2211yescharacteristic, complemented
61#11762740C2211yescharacteristic, complemented
62#11762738C2211yescharacteristic
63#11762738C2211yescharacteristic
64#11762738C2211yescharacteristic, complemented
65#11762737C2211yescharacteristic
66#11762737C2211yescharacteristic
67#11762737C2211yescharacteristic, complemented
68#11762737C2211yescharacteristic, complemented
69#11762737C2211yescharacteristic, complemented
70#11762736C2211yescharacteristic, complemented
71#11762735C2211yescharacteristic, complemented
72#11762733C2211yescharacteristic
73#11762732C2211yescharacteristic
74#11762731C2211yescharacteristic
75#11762727C2211yescharacteristic
76#11762726C2211yescharacteristic
77#11762726C2211yescharacteristic
78#11762726C2211yescharacteristic
79#11762726C2211yescharacteristic
80#11762726C2211yescharacteristic, complemented
81#11762725C2211yescharacteristic
82#11762725C2211yescharacteristic
83#11762725C2211yescharacteristic
84#11762725C2211yescharacteristic
85#11762725C2211yescharacteristic
86#11762725C2211yescharacteristic, complemented
87#11762724C2211yescharacteristic
88#11762724C2211yescharacteristic, complemented
89#11762723C2211yescharacteristic
90#11762723C2211yescharacteristic
91#11762718C2211yescharacteristic
92#11762718C2211yescharacteristic
93#11762718C2211yescharacteristic
94#11762718C2211yescharacteristic
95#11762717C2211yescharacteristic
96#11762717C2211yescharacteristic
97#11762717C2211yescharacteristic
98#11762717C2211yescharacteristic
99#11762711C2211yescharacteristic, complemented
100#11762710C2211yescharacteristic
101#11762709C2211yescharacteristic
102#11762709C2211yescharacteristic
103#11762709C2211yescharacteristic, complemented
104#11762709C2211yescharacteristic, complemented
105#11762709C2211yescharacteristic, complemented
106#11762709C2211yescharacteristic, complemented
107#11762705C2211yescharacteristic, complemented
108#11762705C2211yescharacteristic, complemented
109#11762703C2211yescharacteristic
110#11762703C2211yescharacteristic, complemented
111#11762702C2211yescharacteristic
112#11762702C2211yescharacteristic
113#11762702C2211yescharacteristic, complemented
114#11762701C2211yescharacteristic
115#11762701C2211yescharacteristic, complemented
116#11762700C2211yescharacteristic
117#11762700C2211yescharacteristic
118#11762700C2211yescharacteristic, complemented
119#11762699C2211yescharacteristic
120#11762699C2211yescharacteristic
121#11762699C2211yescharacteristic, complemented
122#11762699C2211yescharacteristic, complemented
123#11762698C2211yescharacteristic
124#11762697C2211yescharacteristic
125#11762697C2211yescharacteristic
126#11762697C2211yescharacteristic, complemented
127#11762696C2211yescharacteristic, complemented
128#11762695C2211yescharacteristic, complemented
129#11762694C2211yescharacteristic, complemented
130#11762693C2211yescharacteristic, complemented
131#11762691C2211yescharacteristic, complemented
132#11762691C2211yescharacteristic, complemented
133#11762690C2211yescharacteristic, complemented
134#11762690C2211yescharacteristic, complemented
135#11762690C2211yescharacteristic, complemented
136#11762690C2211yescharacteristic, complemented
137#11762690C2211yescharacteristic, complemented
138#11762689C2211yescharacteristic, complemented
139#11762688C2211yescharacteristic
140#11762688C2211yescharacteristic, complemented
141#11762687C2211yescharacteristic
142#11762687C2211yescharacteristic
143#11762687C2211yescharacteristic
144#11762687C2211yescharacteristic
145#11762687C2211yescharacteristic, complemented
146#11762686C2211yescharacteristic
147#11762686C2211yescharacteristic, complemented
148#11762685C2211yescharacteristic
149#11762685C2211yescharacteristic
150#11762685C2211yescharacteristic
151#11762685C2211yescharacteristic
152#11762685C2211yescharacteristic
153#11762685C2211yescharacteristic
154#11762685C2211yescharacteristic, complemented
155#11762685C2211yescharacteristic, complemented
156#11762684C2211yescharacteristic, complemented
157#11762683C2211yescharacteristic, complemented
158#11762680C2211yescharacteristic
159#11762680C2211yescharacteristic
160#11762680C2211yescharacteristic
161#11762680C2211yescharacteristic
162#11762680C2211yescharacteristic, complemented
163#11762680C2211yescharacteristic, complemented
164#11762678C2211yescharacteristic, complemented
165#11762675C2211yescharacteristic, complemented
166#11762671C2211yescharacteristic, complemented
167#11762670C2211yescharacteristic, complemented
168#11762666C2211yescharacteristic
169#11762666C2211yescharacteristic
170#95×D17C2211yescharacteristic
171#95×D17C2211yescharacteristic
172C2×C17×#125C2211yescharacteristic, complemented
173C2×C17×#121C2211yescharacteristic
174C17×#399C2211yescharacteristic, complemented
175C17×#396C2211yescharacteristic
176C17×#394C2211yescharacteristic
177C17×#394C2211yescharacteristic
178C17×#394C2211yescharacteristic
179C17×#394C2211yescharacteristic, complemented
180C17×#390C2211yescharacteristic
181C17×#390C2211yescharacteristic, complemented
182C17×#388C2211yescharacteristic
183C17×#388C2211yescharacteristic, complemented
184C17×#387C2211yescharacteristic, complemented
185C17×#385C2211yescharacteristic, complemented
186C17×#385C2211yescharacteristic, complemented
187C24×D17C2311yescharacteristic
188C22×D4×C17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C22×C22⋊D17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C23×Dic17C2311yescharacteristic
203C22×D68C2311yescharacteristic
204C22×D68C2311yescharacteristic
205C22×D68C2311yescharacteristic
206C22×D68C2311yescharacteristic
207C22×D68C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C17×#125—42no—
217C17×#121—42no—
218C2×C4⋊C4×C17C2311yescharacteristic
219C2×C4⋊C4×C17C2311yescharacteristic
220C2×C4⋊C4×C17C2311yescharacteristic
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊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×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C42×C17C2311yescharacteristic
242C2×C42×C17C2311yescharacteristic
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
255#10587626—42no—
256#10587625—42no—
257#10587624—42no—
258#10587623—42no—
259#10587623—42no—
260#10587615—42no—
261C4×C22⋊D17—42no—
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×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×C4⋊Dic17C2311yescharacteristic
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×C4×Dic17C2311yescharacteristic
310C2×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315#10587581—42no—
316#10587581—42no—
317#10587579—42no—
318C4⋊C4×D17—42no—
319#10587570—24no—
320#10587570—24no—
321#10587570—42no—
322#10587570—42no—
323#10587570—42no—
324#10587569—42no—
325#10587568—42no—
326#10587568—42no—
327#10587567—42no—
328C22⋊C4×D17—24no—
329C22⋊C4×D17—42no—
330C22⋊C4×D17—42no—
331C4×D68—42no—
332C42×D17—42no—
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339#10587502C2311yescharacteristic
340#10587502C2311yescharacteristic
341#10587502C2311yescharacteristic
342#10587502C2311yescharacteristic
343#10587502C2311yescharacteristic
344#10587502C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369C24×C17C2411yescharacteristic
370C24×C17C2411yescharacteristic
371C24×C17C2411yescharacteristic
372C23×D17—22no—
373C23×D17—22no—
374C23×D17—22no—
375C23×D17—41no—
376C23×D17—41no—
377C23×D17—41no—
378C23×D17—41no—
379C23×D17C2411yescharacteristic
380C23×D17C2411yescharacteristic
381C23×D17C2411yescharacteristic
382C23×D17C2411yescharacteristic
383C2×D4×C17—22no—
384C2×D4×C17—41no—
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×C17—41no—
393C22×C4×C17—41no—
394C22×C4×C17—41no—
395C22×C4×C17C2411yescharacteristic
396C22×C4×C17C2411yescharacteristic
397C22×C4×C17C2411yescharacteristic
398C22×C4×C17C2411yescharacteristic
399C22×C4×C17C2411yescharacteristic
400C22×C4×C17C2411yescharacteristic
401C22×C4×C17C2411yescharacteristic
402C22×C4×C17C2411yescharacteristic
403C22×C4×C17C2411yescharacteristic
404C22×C4×C17C2411yescharacteristic
405C22×C4×C17C2411yescharacteristic
406C22×C4×C17C2411yescharacteristic
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—22no—
416C2×C22⋊D17—22no—
417C2×C22⋊D17—41no—
418C2×C22⋊D17—41no—
419C2×C22⋊D17—41no—
420C2×C22⋊D17—41no—
421C2×C22⋊D17—41no—
422C2×C22⋊D17—41no—
423C2×C22⋊D17—41no—
424C2×C22⋊D17—41no—
425C2×C22⋊D17—41no—
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—41no—
435C2×C22⋊D17—41no—
436C2×C22⋊D17—41no—
437C22×Dic17—41no—
438C22×Dic17—41no—
439C22×Dic17—41no—
440C22×Dic17C2411yescharacteristic
441C22×Dic17C2411yescharacteristic
442C22×Dic17C2411yescharacteristic
443C22×Dic17C2411yescharacteristic
444C22×Dic17C2411yescharacteristic
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451C22×Dic17C2411yescharacteristic
452C2×D68—22no—
453C2×D68—22no—
454C2×D68—22no—
455C2×D68—22no—
456C2×D68—22no—
457C2×D68—22no—
458C2×D68—22no—
459C2×D68—41no—
460C2×D68—41no—
461C2×D68—41no—
462C2×D68—41no—
463C2×D68—41no—
464C2×D68—41no—
465C2×D68—41no—
466C2×D68—41no—
467C2×C4×D17—22no—
468C2×C4×D17—22no—
469C2×C4×D17—22no—
470C2×C4×D17—22no—
471C2×C4×D17—22no—
472C2×C4×D17—22no—
473C2×C4×D17—22no—
474C2×C4×D17—41no—
475C2×C4×D17—41no—
476C2×C4×D17—41no—
477C2×C4×D17—41no—
478C2×C4×D17—41no—
479C2×C4×D17—41no—
480C2×C4×D17—41no—
481C2×C4×D17—41no—
482C2×C4×D17—41no—
483C2×C4×D17—41no—
484C2×C4×D17—41no—
485C2×C4×D17—41no—
486C2×C4×D17—41no—
487C2×C4×D17—41no—
488C2×C4×D17—41no—
489C2×C4×D17—41no—
490C2×C4×D17#4114yes—
491C4⋊C4×C17—22no—
492C4⋊C4×C17—22no—
493C4⋊C4×C17—41no—
494C4⋊C4×C17—41no—
495C4⋊C4×C17—41no—
496C4⋊C4×C17—41no—
497C4⋊C4×C17—41no—
498C4⋊C4×C17—41no—
499C4⋊C4×C17—41no—
500C22⋊C4×C17—22no—
501C22⋊C4×C17—22no—
502C22⋊C4×C17—22no—
503C22⋊C4×C17—22no—
504C22⋊C4×C17—41no—
505C22⋊C4×C17—41no—
506C22⋊C4×C17—41no—
507C22⋊C4×C17—41no—
508C22⋊C4×C17—41no—
509C22⋊C4×C17—41no—
510C22⋊C4×C17—41no—
511C22⋊C4×C17—41no—
512C22⋊C4×C17—41no—
513C22⋊C4×C17—41no—
514C42×C17—22no—
515C42×C17—41no—
516C22⋊Dic17—22no—
517C22⋊Dic17—22no—
518C22⋊Dic17—41no—
519C22⋊Dic17—41no—
520C22⋊Dic17—41no—
521C22⋊Dic17—41no—
522C22⋊Dic17—41no—
523C22⋊Dic17—41no—
524C22⋊Dic17—41no—
525C22⋊Dic17—41no—
526C22⋊Dic17—41no—
527C22⋊Dic17—41no—
528#63227—22no—
529#63227—22no—
530#63227—22no—
531#63227—22no—
532#63227—22no—
533#63227—22no—
534#63227—22no—
535#63227—22no—
536#63227—22no—
537#63227—22no—
538#63227—41no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542#63227—41no—
543#63227—41no—
544#63227—41no—
545#63227—41no—
546#63227—41no—
547#63227—41no—
548#63227—41no—
549#63227—41no—
550#63227—41no—
551#63227—41no—
552#63227—41no—
553#63227—41no—
554#63227—41no—
555#63227—41no—
556#63227—41no—
557#63227—41no—
558C4⋊Dic17—22no—
559C4⋊Dic17—41no—
560C4⋊Dic17—41no—
561C4⋊Dic17—41no—
562C4⋊Dic17—41no—
563#63225—22no—
564#63225—22no—
565#63225—22no—
566#63225—22no—
567#63225—22no—
568#63225—41no—
569#63225—41no—
570#63225—41no—
571#63225—41no—
572#63225—41no—
573#63225—41no—
574#63225—41no—
575C4×Dic17—22no—
576C4×Dic17—41no—
577C4×Dic17—41no—
578C4×Dic17—41no—
579C4×Dic17—41no—
580C4×Dic17—41no—
581#36759—171nomaximal, Sylow
582C23×C17—21no—
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—21no—
599C23×C17—21no—
600C23×C17—21no—
601C23×C17—21no—
602C23×C17—21no—
603C23×C17C2511yescharacteristic
604C22×D17—21no—
605C22×D17—21no—
606C22×D17—21no—
607C22×D17—21no—
608C22×D17—21no—
609C22×D17—21no—
610C22×D17—21no—
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—21no—
615C22×D17—21no—
616C22×D17—21no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—21no—
625C22×D17—21no—
626C22×D17—21no—
627C22×D17—21no—
628C22×D17—21no—
629C22×D17—44no—
630C22×D17—44no—
631C22×D17—44no—
632C22×D17—82no—
633C22×D17—82no—
634C22×D17—82no—
635C22×D17—82no—
636C22×D17C2×#4112yes—
637C22×D17H(5,𝔽2)12yes—
638C22×D17H(5,𝔽2)12yes—
639D4×C17—82no—
640D4×C17—82no—
641D4×C17—82no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—82no—
677C2×C4×C17C2×#4112yes—
678C2×C4×C17H(5,𝔽2)12yes—
679C22⋊D17—44no—
680C22⋊D17—44no—
681C22⋊D17—82no—
682C22⋊D17—82no—
683C22⋊D17—82no—
684C22⋊D17—82no—
685C22⋊D17—82no—
686C22⋊D17—82no—
687C22⋊D17—82no—
688C22⋊D17—82no—
689C2×Dic17—21no—
690C2×Dic17—21no—
691C2×Dic17—21no—
692C2×Dic17—21no—
693C2×Dic17—21no—
694C2×Dic17—21no—
695C2×Dic17—21no—
696C2×Dic17—21no—
697C2×Dic17—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—82no—
724C2×Dic17C2×#4112yes—
725C2×Dic17H(5,𝔽2)12yes—
726D68—44no—
727D68—44no—
728D68—82no—
729D68—82no—
730D68—82no—
731C4×D17—44no—
732C4×D17—44no—
733C4×D17—44no—
734C4×D17—44no—
735C4×D17—82no—
736C4×D17—82no—
737C4×D17—82no—
738C4×D17—82no—
739#2856—171no—
740#2851—171no—
741#2803—171no—
742#2803—171no—
743#2797—171no—
744#2797—171no—
745#2793—171no—
746#2793—171no—
747#2753—171no—
748#2753—171no—
749#2752—171no—
750#2752—171no—
751#2711—171no—
752#2711D1711yescharacteristic, complemented
753#2701—171no—
754#2701—171no—
755#2673—171no—
756#2673—171no—
757#2617—171no—
758#2617—171no—
759#2444—171no—
760#2444—171no—
761#2443—171no—
762#2443—171no—
763#2424—171no—
764#2424—171no—
765#2424—171no—
766#2424—171no—
767#2325—171no—
768#2325—171no—
769C2×#388—171no—
770C22×C17—41no—
771C22×C17—41no—
772C22×C17—41no—
773C22×C17—41no—
774C22×C17—41no—
775C22×C17—41no—
776C22×C17—41no—
777C22×C17—41no—
778C22×C17—41no—
779C22×C17—41no—
780C22×C17—41no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17—41no—
786C22×C17—41no—
787C22×C17—41no—
788C22×C17—41no—
789C22×C17—41no—
790C22×C17—41no—
791C22×C17C22×#4111yescharacteristic
792C22×C17C2×H(5,𝔽2)11yescharacteristic
793C22×C17C2×H(5,𝔽2)11yescharacteristic
794C22×C17C2×H(5,𝔽2)11yescharacteristic
795C22×C17C2×H(5,𝔽2)11yescharacteristic
796C22×C17#58511yescharacteristic
797C22×C17#58511yescharacteristic
798C2×D17—22no—
799C2×D17—22no—
800C2×D17—22no—
801C2×D17—22no—
802C2×D17—22no—
803C2×D17—22no—
804C2×D17—41no—
805C2×D17—41no—
806C2×D17—41no—
807C2×D17—41no—
808C2×D17—41no—
809C2×D17—41no—
810C2×D17—41no—
811C2×D17—41no—
812C2×D17—41no—
813C2×D17—41no—
814C2×D17—41no—
815C2×D17—41no—
816C2×D17—41no—
817C2×D17—41no—
818C2×D17—41no—
819C2×D17—41no—
820C2×D17—41no—
821C2×D17—41no—
822C2×D17—41no—
823C2×D17—41no—
824C2×D17—41no—
825C2×D17—88no—
826C2×D17#54014yes—
827C4×C17—22no—
828C4×C17—22no—
829C4×C17—41no—
830C4×C17—41no—
831C4×C17—41no—
832C4×C17—41no—
833C4×C17—41no—
834C4×C17—41no—
835C4×C17—41no—
836C4×C17—41no—
837C4×C17—41no—
838C4×C17—41no—
839Dic17—22no—
840Dic17—22no—
841Dic17—41no—
842Dic17—41no—
843Dic17—41no—
844Dic17—41no—
845Dic17—41no—
846Dic17—41no—
847Dic17—41no—
848Dic17—41no—
849Dic17—41no—
850Dic17—41no—
851C2×#127—171no—
852C2×#125C2×D1711yescharacteristic, complemented
853C2×#123—171no—
854C2×#123—171no—
855C2×#121—171no—
856C2×#121—171no—
857C2×#121—171no—
858C2×#121—171no—
859C2×#121—171no—
860C2×#121—171no—
861C2×#121—171no—
862C2×#121—171no—
863C2×#121—171no—
864C2×#121C2×D1711yescharacteristic
865C2×#120—171no—
866C2×#120—171no—
867C2×#120—171no—
868C2×#120—171no—
869C2×C4×D4—171no—
870C2×C4×D4—171no—
871C2×C4×D4—171no—
872C2×C4×D4—171no—
873C22×C4⋊C4—171no—
874C22×C22⋊C4—171no—
875C22×C22⋊C4—171no—
876C22×C22⋊C4—171no—
877C22×C42—171no—
878#400—171no—
879#400—171no—
880#399—171no—
881#399C2×D1711yescharacteristic, complemented
882#398—171no—
883#398—171no—
884#397—171no—
885#397—171no—
886#397—171no—
887#397—171no—
888#397—171no—
889#397—171no—
890#397—171no—
891#397—171no—
892#397—171no—
893#397—171no—
894#396—171no—
895#396—171no—
896#396—171no—
897#396C2×D1711yescharacteristic
898#394—171no—
899#394—171no—
900#394—171no—
901#394—171no—
902#394—171no—
903#394—171no—
904#394—171no—
905#394—171no—
906#394—171no—
907#394—171no—
908#394—171no—
909#394—171no—
910#394—171no—
911#394—171no—
912#394—171no—
913#394—171no—
914#394C2×D1711yescharacteristic
915#394C2×D1711yescharacteristic
916#394C2×D1711yescharacteristic
917#394C2×D1711yescharacteristic, complemented
918#392—171no—
919#392—171no—
920#392—171no—
921#392—171no—
922#392—171no—
923#392—171no—
924#392—171no—
925#392—171no—
926#390—171no—
927#390—171no—
928#390—171no—
929#390—171no—
930#390—171no—
931#390—171no—
932#390—171no—
933#390—171no—
934#390C2×D1711yescharacteristic
935#390C2×D1711yescharacteristic, complemented
936#389—171no—
937#389—171no—
938#388—171no—
939#388—171no—
940#388—171no—
941#388—171no—
942#388—171no—
943#388—171no—
944#388—171no—
945#388—171no—
946#388—171no—
947#388—171no—
948#388—171no—
949#388—171no—
950#388—171no—
951#388—171no—
952#388—171no—
953#388—171no—
954#388—171no—
955#388—171no—
956#388C2×D1711yescharacteristic
957#388C2×D1711yescharacteristic, complemented
958#387—171no—
959#387—171no—
960#387—171no—
961#387—171no—
962#387—171no—
963#387—171no—
964#387—171no—
965#387—171no—
966#387—171no—
967#387—171no—
968#387—171no—
969#387C2×D1711yescharacteristic, complemented
970#386—171no—
971#386—171no—
972#386—171no—
973#386—171no—
974#386—171no—
975#386—171no—
976#386—171no—
977#386—171no—
978#386—171no—
979#386—171no—
980#386—171no—
981#386—171no—
982#386—171no—
983#386—171no—
984#386—171no—
985#386—171no—
986#386—171no—
987#386—171no—
988#385—171no—
989#385—171no—
990#385—171no—
991#385—171no—
992#385—171no—
993#385—171no—
994#385—171no—
995#385—171no—
996#385C2×D1711yescharacteristic, complemented
997#385C2×D1711yescharacteristic, complemented
998#384—171no—
999#382—171no—
1000#381—171no—
1001#381—171no—
1002#380—171no—
1003#380—171no—
1004C2×#95—171no—
1005C2×#95—171no—
1006C2×C17—81no—
1007C2×C17—81no—
1008C2×C17—81no—
1009C2×C17C2×#54011yescharacteristic
1010C2×C17#350511yescharacteristic
1011C2×C17#350611yescharacteristic
1012C2×C17#353411yescharacteristic
1013C2×C17#353711yescharacteristic
1014C2×C17#355811yescharacteristic
1015C2×C17#356011yescharacteristic
1016D17—24no—
1017D17—81no—
1018D17—81no—
1019D17—81no—
1020C25—171no—
1021C22×D4—171no—
1022C22×D4—171no—
1023C22×D4—171no—
1024C22×D4—171no—
1025C22×D4—171no—
1026C22×D4—171no—
1027C22×D4—171no—
1028C22×D4—171no—
1029C22×D4—171no—
1030C22×D4—171no—
1031C22×D4—171no—
1032C22×D4—171no—
1033C22×D4—171no—
1034C22×D4—171no—
1035C22×D4—171no—
1036C22×D4C22×D1711yescharacteristic
1037C22×D4C22×D1711yescharacteristic
1038C22×D4C22×D1711yescharacteristic
1039C23×C4—171no—
1040C23×C4—171no—
1041C23×C4—171no—
1042C23×C4—171no—
1043C23×C4—171no—
1044C23×C4—171no—
1045C23×C4—171no—
1046C23×C4—171no—
1047C23×C4—171no—
1048C23×C4C22×D1711yescharacteristic
1049#127—682no—
1050#125—42no—
1051#123—682no—
1052#123—682no—
1053#121—42no—
1054#121—344no—
1055#121—344no—
1056#121—682no—
1057#121—682no—
1058#121—682no—
1059#121—682no—
1060#121—682no—
1061#121—682no—
1062#121—682no—
1063#120—682no—
1064#120—682no—
1065#120—682no—
1066#120—682no—
1067C4×D4—682no—
1068C4×D4—682no—
1069C4×D4—682no—
1070C4×D4—682no—
1071C2×C4⋊C4—171no—
1072C2×C4⋊C4—171no—
1073C2×C4⋊C4—171no—
1074C2×C4⋊C4—171no—
1075C2×C4⋊C4—171no—
1076C2×C4⋊C4—171no—
1077C2×C4⋊C4—171no—
1078C2×C4⋊C4—171no—
1079C2×C4⋊C4—171no—
1080C2×C4⋊C4—171no—
1081C2×C4⋊C4—171no—
1082C2×C4⋊C4—171no—
1083C2×C4⋊C4—171no—
1084C2×C4⋊C4—171no—
1085C2×C4⋊C4—171no—
1086C2×C4⋊C4—171no—
1087C2×C4⋊C4—171no—
1088C2×C4⋊C4—682no—
1089C2×C4⋊C4C22×D1711yescharacteristic
1090C2×C4⋊C4C22×D1711yescharacteristic
1091C2×C4⋊C4C22×D1711yescharacteristic
1092C2×C4⋊C4C22×D1711yescharacteristic
1093C2×C4⋊C4C22×D1711yescharacteristic
1094C2×C4⋊C4C22×D1711yescharacteristic
1095C2×C4⋊C4C22×D1711yescharacteristic
1096C2×C4⋊C4C22×D1711yescharacteristic
1097C2×C4⋊C4C22×D1711yescharacteristic
1098C2×C22⋊C4—171no—
1099C2×C22⋊C4—171no—
1100C2×C22⋊C4—171no—
1101C2×C22⋊C4—171no—
1102C2×C22⋊C4—171no—
1103C2×C22⋊C4—171no—
1104C2×C22⋊C4—171no—
1105C2×C22⋊C4—171no—
1106C2×C22⋊C4—171no—
1107C2×C22⋊C4—171no—
1108C2×C22⋊C4—171no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—171no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—171no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—171no—
1117C2×C22⋊C4—171no—
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—171no—
1123C2×C22⋊C4—171no—
1124C2×C22⋊C4—171no—
1125C2×C22⋊C4—171no—
1126C2×C22⋊C4—171no—
1127C2×C22⋊C4—171no—
1128C2×C22⋊C4—171no—
1129C2×C22⋊C4—171no—
1130C2×C22⋊C4—171no—
1131C2×C22⋊C4—171no—
1132C2×C22⋊C4—171no—
1133C2×C22⋊C4—171no—
1134C2×C22⋊C4—171no—
1135C2×C22⋊C4—171no—
1136C2×C22⋊C4—171no—
1137C2×C22⋊C4—171no—
1138C2×C22⋊C4—171no—
1139C2×C22⋊C4—171no—
1140C2×C22⋊C4—344no—
1141C2×C22⋊C4—682no—
1142C2×C22⋊C4—682no—
1143C2×C22⋊C4C22×D1711yescharacteristic
1144C2×C22⋊C4C22×D1711yescharacteristic
1145C2×C22⋊C4C22×D1711yescharacteristic
1146C2×C22⋊C4C22×D1711yescharacteristic
1147C2×C22⋊C4C22×D1711yescharacteristic
1148C2×C22⋊C4C22×D1711yescharacteristic
1149C2×C22⋊C4C22×D1711yescharacteristic
1150C2×C22⋊C4C22×D1711yescharacteristic
1151C2×C22⋊C4C22×D1711yescharacteristic
1152C2×C22⋊C4C22×D1711yescharacteristic
1153C2×C22⋊C4C22×D1711yescharacteristic
1154C2×C22⋊C4C22×D1711yescharacteristic
1155C2×C22⋊C4C22×D1711yescharacteristic
1156C2×C22⋊C4C22×D1711yescharacteristic
1157C2×C42—171no—
1158C2×C42—171no—
1159C2×C42—171no—
1160C2×C42—171no—
1161C2×C42—171no—
1162C2×C42—171no—
1163C2×C42—682no—
1164C2×C42C22×D1711yescharacteristic
1165C2×C42C22×D1711yescharacteristic
1166#95—171no—
1167#95—171no—
1168#95—171no—
1169#95—171no—
1170#95—171no—
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95—171no—
1178#95—171no—
1179#95—171no—
1180#95—171no—
1181#95—171no—
1182#95—171no—
1183#95—171no—
1184#95—171no—
1185#95—171no—
1186#95—171no—
1187#95—171no—
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95—171no—
1195#95—171no—
1196#95C22×D1711yescharacteristic
1197#95C22×D1711yescharacteristic
1198#95C22×D1711yescharacteristic
1199#95C22×D1711yescharacteristic
1200#95C22×D1711yescharacteristic
1201#95C22×D1711yescharacteristic
1202C17#3675911yescharacteristic, complemented, Sylow
1203C24—171no—
1204C24—171no—
1205C24—171no—
1206C24—171no—
1207C24—342no—
1208C24—342no—
1209C24—342no—
1210C24—681no—
1211C24—681no—
1212C24—681no—
1213C24—681no—
1214C24C23×D1711yescharacteristic
1215C24C23×D1711yescharacteristic
1216C24C23×D1711yescharacteristic
1217C2×D4—22no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—342no—
1227C2×D4—342no—
1228C2×D4—342no—
1229C2×D4—342no—
1230C2×D4—342no—
1231C2×D4—342no—
1232C2×D4—342no—
1233C2×D4—342no—
1234C2×D4—342no—
1235C2×D4—342no—
1236C2×D4—342no—
1237C2×D4—342no—
1238C2×D4—342no—
1239C2×D4—342no—
1240C2×D4—342no—
1241C2×D4—342no—
1242C2×D4—342no—
1243C2×D4—681no—
1244C2×D4—681no—
1245C2×D4—681no—
1246C2×D4—681no—
1247C2×D4—681no—
1248C2×D4—681no—
1249C2×D4—681no—
1250C2×D4—681no—
1251C2×D4—681no—
1252C2×D4—681no—
1253C2×D4—681no—
1254C2×D4—681no—
1255C2×D4—681no—
1256C2×D4—681no—
1257C2×D4—681no—
1258C2×D4—681no—
1259C2×D4—681no—
1260C2×D4—681no—
1261C2×D4—681no—
1262C2×D4—681no—
1263C2×D4—681no—
1264C2×D4—681no—
1265C2×D4—681no—
1266C2×D4—681no—
1267C2×D4—681no—
1268C2×D4—681no—
1269C2×D4—681no—
1270C2×D4—681no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—171no—
1275C22×C4—171no—
1276C22×C4—174no—
1277C22×C4—171no—
1278C22×C4—171no—
1279C22×C4—171no—
1280C22×C4—171no—
1281C22×C4—171no—
1282C22×C4—171no—
1283C22×C4—171no—
1284C22×C4—171no—
1285C22×C4—171no—
1286C22×C4—171no—
1287C22×C4—342no—
1288C22×C4—342no—
1289C22×C4—342no—
1290C22×C4—342no—
1291C22×C4—342no—
1292C22×C4—342no—
1293C22×C4—342no—
1294C22×C4—681no—
1295C22×C4—681no—
1296C22×C4—681no—
1297C22×C4—681no—
1298C22×C4—681no—
1299C22×C4—681no—
1300C22×C4—681no—
1301C22×C4—681no—
1302C22×C4—681no—
1303C22×C4—681no—
1304C22×C4—681no—
1305C22×C4—681no—
1306C22×C4—681no—
1307C22×C4—681no—
1308C22×C4—681no—
1309C22×C4—681no—
1310C22×C4—681no—
1311C22×C4—681no—
1312C22×C4—681no—
1313C22×C4C23×D1711yescharacteristic
1314C22×C4C23×D1711yescharacteristic
1315C22×C4C23×D1711yescharacteristic
1316C22×C4C23×D1711yescharacteristic
1317C22×C4C23×D1711yescharacteristic
1318C22×C4C23×D1711yescharacteristic
1319C22×C4C23×D1711yescharacteristic
1320C22×C4C23×D1711yescharacteristic
1321C22×C4C23×D1711yescharacteristic
1322C22×C4C23×D1711yescharacteristic
1323C22×C4C23×D1711yescharacteristic
1324C22×C4C23×D1711yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—342no—
1335C4⋊C4—342no—
1336C4⋊C4—342no—
1337C4⋊C4—342no—
1338C4⋊C4—342no—
1339C4⋊C4—342no—
1340C4⋊C4—681no—
1341C4⋊C4—681no—
1342C4⋊C4—681no—
1343C4⋊C4—681no—
1344C4⋊C4—681no—
1345C4⋊C4—681no—
1346C4⋊C4—681no—
1347C4⋊C4—681no—
1348C4⋊C4—681no—
1349C4⋊C4—681no—
1350C4⋊C4—681no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—342no—
1366C22⋊C4—342no—
1367C22⋊C4—342no—
1368C22⋊C4—342no—
1369C22⋊C4—342no—
1370C22⋊C4—342no—
1371C22⋊C4—342no—
1372C22⋊C4—342no—
1373C22⋊C4—342no—
1374C22⋊C4—342no—
1375C22⋊C4—342no—
1376C22⋊C4—342no—
1377C22⋊C4—681no—
1378C22⋊C4—681no—
1379C22⋊C4—681no—
1380C22⋊C4—681no—
1381C22⋊C4—681no—
1382C22⋊C4—681no—
1383C22⋊C4—681no—
1384C22⋊C4—681no—
1385C22⋊C4—681no—
1386C22⋊C4—681no—
1387C22⋊C4—681no—
1388C22⋊C4—681no—
1389C22⋊C4—681no—
1390C22⋊C4—681no—
1391C22⋊C4—681no—
1392C22⋊C4—681no—
1393C22⋊C4—681no—
1394C22⋊C4—681no—
1395C22⋊C4—681no—
1396C22⋊C4—681no—
1397C22⋊C4—681no—
1398C22⋊C4—681no—
1399C22⋊C4—681no—
1400C22⋊C4—681no—
1401C22⋊C4—681no—
1402C22⋊C4—681no—
1403C22⋊C4—681no—
1404C22⋊C4—681no—
1405C22⋊C4—681no—
1406C22⋊C4—681no—
1407C42—22no—
1408C42—41no—
1409C42—342no—
1410C42—681no—
1411C42—681no—
1412C42—681no—
1413C42—681no—
1414C42—681no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—172no—
1437C23—172no—
1438C23—172no—
1439C23—341no—
1440C23—341no—
1441C23—341no—
1442C23—341no—
1443C23—341no—
1444C23—341no—
1445C23—341no—
1446C23—341no—
1447C23—341no—
1448C23—341no—
1449C23—341no—
1450C23—341no—
1451C23—341no—
1452C23—341no—
1453C23—341no—
1454C23—341no—
1455C23—341no—
1456C23—341no—
1457C23—341no—
1458C23—341no—
1459C23—341no—
1460C23—341no—
1461C23—341no—
1462C23—341no—
1463C23—341no—
1464C23—684no—
1465C23—684no—
1466C23—684no—
1467C23—1362no—
1468C23—1362no—
1469C23—1362no—
1470C23—1362no—
1471C23C24×D1711yescharacteristic
1472D4—82no—
1473D4—82no—
1474D4—82no—
1475D4—684no—
1476D4—684no—
1477D4—684no—
1478D4—684no—
1479D4—1362no—
1480D4—1362no—
1481D4—1362no—
1482D4—1362no—
1483D4—1362no—
1484D4—1362no—
1485D4—1362no—
1486D4—1362no—
1487D4—1362no—
1488D4—1362no—
1489D4—1362no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—82no—
1525C2×C4—172no—
1526C2×C4—172no—
1527C2×C4—341no—
1528C2×C4—341no—
1529C2×C4—341no—
1530C2×C4—341no—
1531C2×C4—341no—
1532C2×C4—341no—
1533C2×C4—341no—
1534C2×C4—341no—
1535C2×C4—341no—
1536C2×C4—341no—
1537C2×C4—341no—
1538C2×C4—341no—
1539C2×C4—341no—
1540C2×C4—341no—
1541C2×C4—341no—
1542C2×C4—341no—
1543C2×C4—341no—
1544C2×C4—341no—
1545C2×C4—341no—
1546C2×C4—341no—
1547C2×C4—341no—
1548C2×C4—341no—
1549C2×C4—341no—
1550C2×C4—341no—
1551C2×C4—341no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—684no—
1562C2×C4—684no—
1563C2×C4—684no—
1564C2×C4—684no—
1565C2×C4—1362no—
1566C2×C4—1362no—
1567C2×C4—1362no—
1568C2×C4—1362no—
1569C2×C4—1362no—
1570C2×C4#1058769112yes—
1571C2×C4#41×D1712yes—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—174no—
1594C22—342no—
1595C22—342no—
1596C22—342no—
1597C22—342no—
1598C22—342no—
1599C22—342no—
1600C22—681no—
1601C22—681no—
1602C22—681no—
1603C22—681no—
1604C22—681no—
1605C22—681no—
1606C22—681no—
1607C22—681no—
1608C22—681no—
1609C22—681no—
1610C22—681no—
1611C22—681no—
1612C22—681no—
1613C22—681no—
1614C22—681no—
1615C22—681no—
1616C22—681no—
1617C22—681no—
1618C22—681no—
1619C22—681no—
1620C22—681no—
1621C22—1368no—
1622C22C2×#41×D1711yescharacteristic
1623C22H(5,𝔽2)×D1711yescharacteristic
1624C22H(5,𝔽2)×D1711yescharacteristic
1625C22H(5,𝔽2)×D1711yescharacteristic
1626C22C2×#1058769111yescharacteristic
1627C22#1176364511yescharacteristic
1628C22#1176364611yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—342no—
1642C4—342no—
1643C4—681no—
1644C4—681no—
1645C4—681no—
1646C4—681no—
1647C4—681no—
1648C4—681no—
1649C4—681no—
1650C4—681no—
1651C4—681no—
1652C4—681no—
1653C2—81no—
1654C2—81no—
1655C2—81no—
1656C2—344no—
1657C2—1361no—
1658C2—1361no—
1659C2—1361no—
1660C2D17×#54011yescharacteristic
1661C2#1454262011yescharacteristic
1662C2#1454263011yescharacteristic
1663C2#1454296611yescharacteristic
1664C2#1454301711yescharacteristic
1665C2#1454330611yescharacteristic
1666C2#1454333711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2711C2
hypercenter#2711D17
hypocenterC17#36759
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2711

Complements

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

NH ≅ G/Ntype
1. #14537128C2semidirect
2. #14537089C2semidirect
3. #14536712C2semidirect
4. #14536710C2semidirect
5. #14536645C2semidirect
6. #14536638C2semidirect
7. #14536595C2semidirect
8. #14536591C2semidirect
9. #14536065C2semidirect
10. #14536061C2semidirect
11. #14536053C2semidirect
12. #14536050C2semidirect
13. #14535537C2semidirect
14. #14535399C2semidirect
15. #14535398C2semidirect
16. #14535057C2semidirect
17. #14535046C2semidirect
18. #14534523C2semidirect
19. #14534523C2semidirect
20. #14532539C2semidirect
21. #14532527C2semidirect
22. #14532522C2semidirect
23. #14532518C2semidirect
24. #14532327C2semidirect
25. #14532321C2semidirect
26. #14532317C2semidirect
27. #14532315C2semidirect
28. #14531488C2semidirect
29. #14531481C2semidirect
30. D17×#388C2semidirect
31. C17×#2711C2semidirect
32. C2×#10587626C22semidirect
33. C2×#10587615C22semidirect
34. C2×#10587569C22semidirect
57. #11762751C22semidirect
58. #11762748C22semidirect
59. #11762744C22semidirect
60. #11762743C22semidirect
61. #11762740C22semidirect
64. #11762738C22semidirect
67. #11762737C22semidirect
68. #11762737C22semidirect
69. #11762737C22semidirect
70. #11762736C22semidirect
71. #11762735C22semidirect
80. #11762726C22semidirect
86. #11762725C22semidirect
88. #11762724C22semidirect
99. #11762711C22semidirect
103. #11762709C22semidirect
104. #11762709C22semidirect
105. #11762709C22semidirect
106. #11762709C22semidirect
107. #11762705C22semidirect
108. #11762705C22semidirect
110. #11762703C22semidirect
113. #11762702C22semidirect
115. #11762701C22semidirect
118. #11762700C22semidirect
121. #11762699C22semidirect
122. #11762699C22semidirect
126. #11762697C22semidirect
127. #11762696C22semidirect
128. #11762695C22semidirect
129. #11762694C22semidirect
130. #11762693C22semidirect
131. #11762691C22semidirect
132. #11762691C22semidirect
133. #11762690C22semidirect
134. #11762690C22semidirect
135. #11762690C22semidirect
136. #11762690C22semidirect
137. #11762690C22semidirect
138. #11762689C22semidirect
140. #11762688C22semidirect
145. #11762687C22semidirect
147. #11762686C22semidirect
154. #11762685C22semidirect
155. #11762685C22semidirect
156. #11762684C22semidirect
157. #11762683C22semidirect
162. #11762680C22semidirect
163. #11762680C22semidirect
164. #11762678C22semidirect
165. #11762675C22semidirect
166. #11762671C22semidirect
167. #11762670C22semidirect
172. C2×C17×#125C22semidirect
174. C17×#399C22semidirect
179. C17×#394C22semidirect
181. C17×#390C22semidirect
183. C17×#388C22semidirect
184. C17×#387C22semidirect
185. C17×#385C22semidirect
186. C17×#385C22semidirect
752. #2711D17semidirect
852. C2×#125C2×D17semidirect
881. #399C2×D17semidirect
917. #394C2×D17semidirect
935. #390C2×D17semidirect
957. #388C2×D17semidirect
969. #387C2×D17semidirect
996. #385C2×D17semidirect
997. #385C2×D17semidirect
1202. C17#36759semidirect

Maximal subgroups

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

subgroupindex
#145371282
#145370892
#145367122
#145367102
#145366452
#145366382
#145365952
#145365912
#145360652
#145360612
#145360532
#145360502
#145355372
#145353992
#145353982
#145350572
#145350462
#145345232
#145325392
#145325272
#145325222
#145325182
#145323272
#145323212
#145323172
#145323152
#145314882
#145314812
D17×#3882
C17×#27112
#3675917