Finite Group Databasebeta

← #17197059

Subgroups — #17197059

Order 4352.

2502 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D17C211yesmaximal, characteristic
2#14531933C211yesmaximal, characteristic, complemented
3#14531931C211yesmaximal, characteristic, complemented
4#14531929C211yesmaximal, characteristic, complemented
5#14531926C211yesmaximal, characteristic, complemented
6#14531918C211yesmaximal, characteristic, complemented
7#14531916C211yesmaximal, characteristic, complemented
8#14531913C211yesmaximal, characteristic, complemented
9#14531912C211yesmaximal, characteristic, complemented
10#14531652C211yesmaximal, characteristic, complemented
11#14531650C211yesmaximal, characteristic, complemented
12#14531650C211yesmaximal, characteristic, complemented
13#14531649C211yesmaximal, characteristic, complemented
14#14531632C211yesmaximal, characteristic, complemented
15#14531631C211yesmaximal, characteristic, complemented
16#14531628C211yesmaximal, characteristic, complemented
17#14531627C211yesmaximal, characteristic, complemented
18#14531579C211yesmaximal, characteristic, complemented
19#14531578C211yesmaximal, characteristic, complemented
20#14531575C211yesmaximal, characteristic, complemented
21#14531574C211yesmaximal, characteristic, complemented
22#14531571C211yesmaximal, characteristic, complemented
23#14531570C211yesmaximal, characteristic, complemented
24#14531567C211yesmaximal, characteristic, complemented
25#14531378C211yesmaximal, characteristic, complemented
26#14531378C211yesmaximal, characteristic, complemented
27#14531363C211yesmaximal, characteristic
28#14531358C211yesmaximal, characteristic
29#14531166C211yesmaximal, characteristic, complemented
30#14531165C211yesmaximal, characteristic, complemented
31C17×#2335C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C2×#10587580C2211yescharacteristic
35C2×#10587580C2211yescharacteristic
36C2×#10587572C2211yescharacteristic
37C2×#10587615C2211yescharacteristic
38C2×#10587569C2211yescharacteristic
39C2×#10587569C2211yescharacteristic
40C2×#10587621C2211yescharacteristic
41#123×D17C4116yescomplemented
42C2×#10587578C2211yescharacteristic
43C2×#10587578C2211yescharacteristic
44C2×#10587578C2211yescharacteristic
45C2×#10587558C2211yescharacteristic
46C2×#10587558C2211yescharacteristic
47C2×#10587558C2211yescharacteristic
48C2×C4⋊C4×D17C2211yescharacteristic
49C2×C4⋊C4×D17C2211yescharacteristic
50C22×#63227C2211yescharacteristic
51C2×C22⋊C4×D17C2211yescharacteristic
52C2×C22⋊C4×D17C2211yescharacteristic
53C2×C22⋊C4×D17C2211yescharacteristic
54C2×C22⋊C4×D17C2211yescharacteristic
55#11762712C2211yescharacteristic
56#11762711C2211yescharacteristic
57#11762710C2211yescharacteristic
58#11762709C2211yescharacteristic
59#11762709C2211yescharacteristic
60#11762709C2211yescharacteristic
61#11762709C2211yescharacteristic
62#11762708C2211yescharacteristic, complemented
63#11762707C2211yescharacteristic, complemented
64#11762706C2211yescharacteristic, complemented
65#11762706C2211yescharacteristic, complemented
66#11762705C2211yescharacteristic, complemented
67#11762704C2211yescharacteristic, complemented
68#11762704C2211yescharacteristic, complemented
69#11762703C2211yescharacteristic, complemented
70#11762703C2211yescharacteristic, complemented
71#11762703C2211yescharacteristic, complemented
72#11762703C2211yescharacteristic, complemented
73#11762702C2211yescharacteristic, complemented
74#11762702C2211yescharacteristic, complemented
75#11762702C2211yescharacteristic, complemented
76#11762702C2211yescharacteristic, complemented
77#11762701C2211yescharacteristic, complemented
78#11762701C2211yescharacteristic, complemented
79#11762701C2211yescharacteristic, complemented
80#11762701C2211yescharacteristic, complemented
81#11762700C2211yescharacteristic, complemented
82#11762700C2211yescharacteristic, complemented
83#11762700C2211yescharacteristic, complemented
84#11762700C2211yescharacteristic, complemented
85#11762699C2211yescharacteristic, complemented
86#11762699C2211yescharacteristic, complemented
87#11762699C2211yescharacteristic, complemented
88#11762699C2211yescharacteristic, complemented
89#11762698C2211yescharacteristic, complemented
90#11762698C2211yescharacteristic, complemented
91#11762698C2211yescharacteristic, complemented
92#11762698C2211yescharacteristic, complemented
93#11762697C2211yescharacteristic, complemented
94#11762697C2211yescharacteristic, complemented
95#11762697C2211yescharacteristic, complemented
96#11762697C2211yescharacteristic, complemented
97#11762696C2211yescharacteristic, complemented
98#11762696C2211yescharacteristic, complemented
99#11762695C2211yescharacteristic, complemented
100#11762695C2211yescharacteristic, complemented
101#11762694C2211yescharacteristic, complemented
102#11762694C2211yescharacteristic, complemented
103#11762693C2211yescharacteristic, complemented
104#11762693C2211yescharacteristic, complemented
105#11762692C2211yescharacteristic, complemented
106#11762692C2211yescharacteristic, complemented
107#11762691C2211yescharacteristic, complemented
108#11762691C2211yescharacteristic, complemented
109#11762690C2211yescharacteristic, complemented
110#11762690C2211yescharacteristic, complemented
111#11762689C2211yescharacteristic
112#11762688C2211yescharacteristic
113#11762687C2211yescharacteristic
114#11762687C2211yescharacteristic
115#11762686C2211yescharacteristic
116#11762685C2211yescharacteristic
117#11762685C2211yescharacteristic
118#11762684C2211yescharacteristic, complemented
119#11762683C2211yescharacteristic, complemented
120#11762683C2211yescharacteristic, complemented
121#11762682C2211yescharacteristic, complemented
122#11762681C2211yescharacteristic, complemented
123#11762680C2211yescharacteristic, complemented
124#11762680C2211yescharacteristic, complemented
125#11762671C2211yescharacteristic
126#11762671C2211yescharacteristic
127#11762671C2211yescharacteristic
128#11762671C2211yescharacteristic
129#11762671C2211yescharacteristic
130#11762671C2211yescharacteristic
131#11762669C2211yescharacteristic, complemented
132#11762668C2211yescharacteristic
133#11762668C2211yescharacteristic
134#11762668C2211yescharacteristic, complemented
135#11762668C2211yescharacteristic, complemented
136#11762667C2211yescharacteristic, complemented
137#11762667C2211yescharacteristic, complemented
138#11762666C2211yescharacteristic
139#11762666C2211yescharacteristic
140#11762666C2211yescharacteristic, complemented
141#11762666C2211yescharacteristic, complemented
142#11762664C2211yescharacteristic
143#11762664C2211yescharacteristic
144#11762664C2211yescharacteristic
145#11762664C2211yescharacteristic
146#11762664C2211yescharacteristic
147#11762664C2211yescharacteristic
148C4⋊C4×Dic17C2211yescharacteristic, complemented
149C4⋊C4×Dic17C2211yescharacteristic, complemented
150C4×#63225C2211yescharacteristic, complemented
151C4×#63225C2211yescharacteristic, complemented
152C4×C4⋊Dic17C2211yescharacteristic, complemented
153#11762660C2211yescharacteristic, complemented
154#11762660C2211yescharacteristic, complemented
155C22⋊C4×Dic17C2211yescharacteristic, complemented
156C22⋊C4×Dic17C2211yescharacteristic, complemented
157C22⋊C4×Dic17C2211yescharacteristic, complemented
158C22⋊C4×Dic17C2211yescharacteristic, complemented
159C4×#63227C2211yescharacteristic
160C4×#63227C2211yescharacteristic
161C4×#63227C2211yescharacteristic, complemented
162C4×#63227C2211yescharacteristic, complemented
163C4×#63227C2211yescharacteristic, complemented
164C4×#63227C2211yescharacteristic, complemented
165C4×C22⋊Dic17C2211yescharacteristic, complemented
166C4×C22⋊Dic17C2211yescharacteristic, complemented
167#11762656C2211yescharacteristic
168#11762656C2211yescharacteristic
169#11762656C2211yescharacteristic, complemented
170#11762656C2211yescharacteristic, complemented
171#11762656C2211yescharacteristic, complemented
172#11762656C2211yescharacteristic, complemented
173C2×C17×#123C2211yescharacteristic
174C17×#390C2211yescharacteristic
175C17×#389C2211yescharacteristic, complemented
176C17×#388C2211yescharacteristic, complemented
177C17×#388C2211yescharacteristic, complemented
178C17×#388C2211yescharacteristic, complemented
179C17×#388C2211yescharacteristic, complemented
180C17×#387C2211yescharacteristic, complemented
181C17×#387C2211yescharacteristic, complemented
182C17×#386C2211yescharacteristic
183C17×#385C2211yescharacteristic, complemented
184C17×#380C2211yescharacteristic, complemented
185C4×C4⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic, complemented
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C24×D17C2311yescharacteristic
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C23×Dic17C2311yescharacteristic
196C23×Dic17C2311yescharacteristic
197C2×D4×D17—42no—
198C2×D4×D17—42no—
199C2×D4×D17C2×C418yes—
200C22×D68C2311yescharacteristic
201C22×C4×D17—42no—
202C22×C4×D17—42no—
203C22×C4×D17C2×C418yescomplemented
204C22×C4×D17C2311yescharacteristic
205C22×C4×D17C2311yescharacteristic
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C17×#123C2×C418yescomplemented
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×C4⋊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×C42×C17C2311yescharacteristic
232C2×C42×C17C2311yescharacteristic
233C2×C42×C17C2311yescharacteristic
234C2×C42×C17C2311yescharacteristic
235C2×C42×C17C2311yescharacteristic
236C2×C22⋊Dic17C2311yescharacteristic
237C2×C22⋊Dic17C2311yescharacteristic
238C2×C22⋊Dic17C2311yescharacteristic
239C2×C22⋊Dic17C2311yescharacteristic
240C2×C22⋊Dic17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246#10587621C2×C418yescomplemented
247#10587615C2×C418yescomplemented
248C2×#63227—42no—
249C2×#63227C2311yescharacteristic
250C2×#63227C2311yescharacteristic
251C2×#63227C2311yescharacteristic
252C2×#63227C2311yescharacteristic
253C2×#63227C2311yescharacteristic
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×#63225C2311yescharacteristic
298C2×C4×Dic17C2311yescharacteristic
299C2×C4×Dic17C2311yescharacteristic
300C2×C4×Dic17C2311yescharacteristic
301C2×C4×Dic17C2311yescharacteristic
302C2×C4×Dic17C2311yescharacteristic
303C2×C4×Dic17C2311yescharacteristic
304C2×C4×Dic17C2311yescharacteristic
305C2×C4×Dic17C2311yescharacteristic
306C2×C4×Dic17C2311yescharacteristic
307C2×C4×Dic17C2311yescharacteristic
308C2×C4×Dic17C2311yescharacteristic
309C2×C4×Dic17C2311yescharacteristic
310C2×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313#10587580C2×C418yescomplemented
314#10587580C2×C418yescomplemented
315#10587578—42no—
316#10587578—42no—
317#10587578—42no—
318C4⋊C4×D17C2×C418yescomplemented
319C4⋊C4×D17C2×C418yescomplemented
320#10587572C2×C418yescomplemented
321#10587569C2×C418yescomplemented
322#10587569C2×C418yescomplemented
323C22⋊C4×D17—42no—
324C22⋊C4×D17C2×C418yes—
325C22⋊C4×D17C2×C418yes—
326C22⋊C4×D17C2×C418yescomplemented
327#10587558—42no—
328#10587558—42no—
329#10587558—42no—
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
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
369#10587502C2311yescharacteristic
370C24×C17C2411yescharacteristic
371C24×C17C2411yescharacteristic
372C23×D17—22no—
373C23×D17—22no—
374C23×D17—22no—
375C23×D17—22no—
376C23×D17—41no—
377C23×D17—41no—
378C23×D17—41no—
379C23×D17—41no—
380C23×D17—41no—
381C23×D17—41no—
382C23×D17—41no—
383C23×D17—41no—
384C23×D17C22×C414yes—
385C23×D17C22×C414yes—
386C23×D17C2411yescharacteristic
387C23×D17C2411yescharacteristic
388C23×D17C2411yescharacteristic
389C2×D4×C17—41no—
390C2×D4×C17—41no—
391C2×D4×C17C22×C414yes—
392C22×C4×C17—41no—
393C22×C4×C17—41no—
394C22×C4×C17—41no—
395C22×C4×C17—41no—
396C22×C4×C17—41no—
397C22×C4×C17C22×C414yes—
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
407C22×C4×C17C2411yescharacteristic
408C22×C4×C17C2411yescharacteristic
409C22×C4×C17C2411yescharacteristic
410C22×C4×C17C2411yescharacteristic
411C2×C22⋊D17—41no—
412C2×C22⋊D17—41no—
413C2×C22⋊D17—41no—
414C2×C22⋊D17—41no—
415C2×C22⋊D17C22×C414yes—
416C2×C22⋊D17C22×C414yes—
417C22×Dic17—41no—
418C22×Dic17—41no—
419C22×Dic17—41no—
420C22×Dic17—41no—
421C22×Dic17—41no—
422C22×Dic17C22×C414yes—
423C22×Dic17C2411yescharacteristic
424C22×Dic17C2411yescharacteristic
425C22×Dic17C2411yescharacteristic
426C22×Dic17C2411yescharacteristic
427C22×Dic17C2411yescharacteristic
428C22×Dic17C2411yescharacteristic
429C22×Dic17C2411yescharacteristic
430C22×Dic17C2411yescharacteristic
431C22×Dic17C2411yescharacteristic
432C22×Dic17C2411yescharacteristic
433C22×Dic17C2411yescharacteristic
434C22×Dic17C2411yescharacteristic
435C22×Dic17C2411yescharacteristic
436D4×D17—416no—
437C2×D68—41no—
438C2×D68—41no—
439C2×D68C22×C414yes—
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—416no—
447C2×C4×D17—41no—
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×D17C22×C414yes—
462C2×C4×D17C22×C414yes—
463C2×C4×D17C22×C414yes—
464C2×C4×D17C22×C414yes—
465C2×C4×D17C22×C414yes—
466C2×C4×D17C22×C414yes—
467C2×C4×D17C22×C414yes—
468C4⋊C4×C17—41no—
469C4⋊C4×C17—41no—
470C4⋊C4×C17—41no—
471C4⋊C4×C17—41no—
472C4⋊C4×C17—41no—
473C4⋊C4×C17C22×C414yes—
474C4⋊C4×C17C22×C414yes—
475C22⋊C4×C17—41no—
476C22⋊C4×C17—41no—
477C22⋊C4×C17—41no—
478C22⋊C4×C17—41no—
479C22⋊C4×C17—41no—
480C22⋊C4×C17—41no—
481C22⋊C4×C17—41no—
482C22⋊C4×C17C22×C414yes—
483C22⋊C4×C17C22×C414yes—
484C22⋊C4×C17C22×C414yes—
485C42×C17—41no—
486C42×C17—41no—
487C42×C17—41no—
488C42×C17—41no—
489C42×C17—41no—
490C22⋊Dic17—41no—
491C22⋊Dic17—41no—
492C22⋊Dic17—41no—
493C22⋊Dic17—41no—
494C22⋊Dic17—41no—
495C22⋊Dic17—41no—
496C22⋊Dic17—41no—
497C22⋊Dic17C22×C414yes—
498C22⋊Dic17C22×C414yes—
499C22⋊Dic17C22×C414yes—
500#63227—22no—
501#63227—22no—
502#63227—22no—
503#63227—22no—
504#63227—22no—
505#63227—22no—
506#63227—22no—
507#63227—22no—
508#63227—41no—
509#63227—41no—
510#63227—41no—
511#63227—41no—
512#63227—41no—
513#63227—41no—
514#63227—41no—
515#63227—41no—
516#63227—41no—
517#63227—41no—
518#63227—41no—
519#63227—41no—
520#63227—41no—
521#63227—41no—
522#63227C22×C414yes—
523#63227C22×C414yes—
524#63227C22×C414yes—
525#63227C22×C414yes—
526#63227C22×C414yes—
527#63227C22×C414yes—
528C4⋊Dic17—41no—
529C4⋊Dic17—41no—
530C4⋊Dic17—41no—
531C4⋊Dic17—41no—
532C4⋊Dic17—41no—
533C4⋊Dic17C22×C414yes—
534C4⋊Dic17C22×C414yes—
535#63225—41no—
536#63225—41no—
537#63225—41no—
538#63225—41no—
539#63225—41no—
540#63225—41no—
541#63225—41no—
542#63225—41no—
543#63225—41no—
544#63225—41no—
545#63225C22×C414yes—
546#63225C22×C414yes—
547#63225C22×C414yes—
548#63225C22×C414yes—
549C4×Dic17—41no—
550C4×Dic17—41no—
551C4×Dic17—41no—
552C4×Dic17—41no—
553C4×Dic17—41no—
554C4×Dic17—41no—
555C4×Dic17—41no—
556C4×Dic17—41no—
557C4×Dic17—41no—
558C4×Dic17—41no—
559C4×Dic17—41no—
560C4×Dic17—41no—
561C4×Dic17—41no—
562C4×Dic17—41no—
563C4×Dic17—41no—
564#34357—171nomaximal, Sylow
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×C17C23×C412yes—
578C23×C17C23×C412yes—
579C23×C17C2511yescharacteristic
580C22×D17—21no—
581C22×D17—21no—
582C22×D17—21no—
583C22×D17—21no—
584C22×D17—21no—
585C22×D17—21no—
586C22×D17—21no—
587C22×D17—21no—
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—28no—
597C22×D17—28no—
598C22×D17—44no—
599C22×D17—44no—
600C22×D17—44no—
601C22×D17—44no—
602C22×D17—44no—
603C22×D17—44no—
604C22×D17—44no—
605C22×D17—44no—
606C22×D17—82no—
607C22×D17—82no—
608C22×D17—82no—
609C22×D17—82no—
610C22×D17C23×C412yes—
611C22×D17C23×C412yes—
612C22×D17C23×C412yes—
613C22×D17H(5,𝔽2)12yes—
614C22×D17H(5,𝔽2)12yes—
615D4×C17—44no—
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—44no—
651C2×C4×C17—82no—
652C2×C4×C17C23×C412yes—
653C2×C4×C17C23×C412yes—
654C2×C4×C17C23×C412yes—
655C2×C4×C17C23×C412yes—
656C2×C4×C17C23×C412yes—
657C22⋊D17—44no—
658C22⋊D17—44no—
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—44no—
694C2×Dic17—82no—
695C2×Dic17C23×C412yes—
696C2×Dic17C23×C412yes—
697C2×Dic17C23×C412yes—
698C2×Dic17C23×C412yes—
699C2×Dic17C23×C412yes—
700D68—44no—
701C4×D17—28no—
702C4×D17—28no—
703C4×D17—28no—
704C4×D17—44no—
705C4×D17—44no—
706C4×D17—44no—
707C4×D17—44no—
708C4×D17—82no—
709C4×D17—82no—
710C22×#123—171no—
711#2376—171no—
712#2376—171no—
713#2376—171no—
714#2376—171no—
715#2374—171no—
716#2374—171no—
717#2374—171no—
718#2374—171no—
719#2344—171no—
720#2344—171no—
721#2344—171no—
722#2344—171no—
723#2342—171no—
724#2342—171no—
725#2342—171no—
726#2342—171no—
727#2335—171no—
728#2335—171no—
729#2335—171no—
730#2335—171no—
731#2335—171no—
732#2335—171no—
733#2335—171no—
734#2335D1711yescharacteristic, complemented
735#2312—171no—
736#2312—171no—
737#2309—171no—
738#2308—171no—
739#2280—171no—
740#2280—171no—
741C22×C17—22no—
742C22×C17—22no—
743C22×C17—22no—
744C22×C17—22no—
745C22×C17—22no—
746C22×C17—22no—
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×C17C24×C411yescharacteristic
756C22×C17C2×H(5,𝔽2)11yescharacteristic
757C22×C17C2×H(5,𝔽2)11yescharacteristic
758C22×C17#58511yescharacteristic
759C22×C17#58511yescharacteristic
760C22×C17#58511yescharacteristic
761C22×C17#58511yescharacteristic
762C2×D17—22no—
763C2×D17—22no—
764C2×D17—22no—
765C2×D17—22no—
766C2×D17—22no—
767C2×D17—22no—
768C2×D17—22no—
769C2×D17—22no—
770C2×D17—22no—
771C2×D17—22no—
772C2×D17—22no—
773C2×D17—22no—
774C2×D17—416no—
775C2×D17—41no—
776C2×D17—41no—
777C2×D17—41no—
778C2×D17—41no—
779C2×D17—41no—
780C2×D17—41no—
781C2×D17—41no—
782C2×D17—41no—
783C2×D17—88no—
784C2×D17#51814yes—
785C4×C17—22no—
786C4×C17—22no—
787C4×C17—22no—
788C4×C17—22no—
789C4×C17—22no—
790C4×C17—41no—
791C4×C17—41no—
792C4×C17—41no—
793C4×C17—41no—
794C4×C17—41no—
795C4×C17—41no—
796C4×C17—41no—
797C4×C17—41no—
798Dic17—22no—
799Dic17—22no—
800Dic17—22no—
801Dic17—22no—
802Dic17—22no—
803Dic17—41no—
804Dic17—41no—
805Dic17—41no—
806Dic17—41no—
807Dic17—41no—
808Dic17—41no—
809Dic17—41no—
810Dic17—41no—
811C23×D4—171no—
812C24×C4—171no—
813C2×#123—171no—
814C2×#123—171no—
815C2×#123—1716no—
816C2×#123—171no—
817C2×#123—171no—
818C2×#123—171no—
819C2×#123—171no—
820C2×#123—171no—
821C2×#123C2×D1711yescharacteristic
822C2×#117—171no—
823C2×#117—171no—
824C2×#117—171no—
825C2×#117—171no—
826C2×#117—171no—
827C2×#117—171no—
828C22×C4⋊C4—171no—
829C22×C4⋊C4—171no—
830C22×C22⋊C4—171no—
831C22×C22⋊C4—171no—
832C22×C22⋊C4—171no—
833C22×C22⋊C4—171no—
834C22×C22⋊C4—171no—
835#390—171no—
836#390—171no—
837#390—171no—
838#390—171no—
839#390—171no—
840#390—171no—
841#390—171no—
842#390C2×D1711yescharacteristic
843#389—171no—
844#389—171no—
845#389—171no—
846#389—171no—
847#389—171no—
848#389—171no—
849#389—171no—
850#389C2×D1711yescharacteristic, complemented
851#388—171no—
852#388—171no—
853#388—171no—
854#388—171no—
855#388—171no—
856#388—171no—
857#388—171no—
858#388—171no—
859#388—171no—
860#388—171no—
861#388—171no—
862#388—171no—
863#388—171no—
864#388—171no—
865#388—171no—
866#388—171no—
867#388—171no—
868#388—171no—
869#388—171no—
870#388—171no—
871#388—171no—
872#388—171no—
873#388—171no—
874#388—171no—
875#388—171no—
876#388—171no—
877#388—171no—
878#388—171no—
879#388C2×D1711yescharacteristic, complemented
880#388C2×D1711yescharacteristic, complemented
881#388C2×D1711yescharacteristic, complemented
882#388C2×D1711yescharacteristic, complemented
883#387—171no—
884#387—171no—
885#387—171no—
886#387—171no—
887#387—171no—
888#387—171no—
889#387—171no—
890#387—171no—
891#387—171no—
892#387—171no—
893#387—171no—
894#387—171no—
895#387—171no—
896#387—171no—
897#387C2×D1711yescharacteristic, complemented
898#387C2×D1711yescharacteristic, complemented
899#386—171no—
900#386—171no—
901#386—171no—
902#386—171no—
903#386—171no—
904#386—171no—
905#386—171no—
906#386C2×D1711yescharacteristic
907#385—171no—
908#385—171no—
909#385—171no—
910#385—171no—
911#385—171no—
912#385—171no—
913#385—171no—
914#385C2×D1711yescharacteristic, complemented
915#381—171no—
916#381—171no—
917#381—171no—
918#381—171no—
919#381—171no—
920#381—171no—
921#380—171no—
922#380—171no—
923#380—171no—
924#380—171no—
925#380—171no—
926#380—171no—
927#380—171no—
928#380—171no—
929#380—171no—
930#380—171no—
931#380—171no—
932#380C2×D1711yescharacteristic, complemented
933#379—171no—
934#379—171no—
935#379—171no—
936#379—171no—
937#379—171no—
938#379—171no—
939C4×C4⋊C4—171no—
940C4×C4⋊C4—171no—
941C4×C4⋊C4—171no—
942C4×C4⋊C4—171no—
943C4×C4⋊C4—171no—
944C4×C4⋊C4—171no—
945C4×C4⋊C4—171no—
946C4×C4⋊C4C2×D1711yescharacteristic, complemented
947C4×C22⋊C4—171no—
948C4×C22⋊C4—171no—
949C4×C22⋊C4—171no—
950C4×C22⋊C4—171no—
951C4×C22⋊C4—171no—
952C4×C22⋊C4—171no—
953C4×C22⋊C4—171no—
954C4×C22⋊C4—171no—
955C4×C22⋊C4—171no—
956C4×C22⋊C4—171no—
957C4×C22⋊C4—171no—
958C4×C22⋊C4—171no—
959C4×C22⋊C4—171no—
960C4×C22⋊C4—171no—
961C4×C22⋊C4—171no—
962C4×C22⋊C4—171no—
963C4×C22⋊C4—171no—
964C4×C22⋊C4—171no—
965C4×C22⋊C4C2×D1711yescharacteristic, complemented
966C4×C22⋊C4C2×D1711yescharacteristic, complemented
967C2×C17—42no—
968C2×C17—42no—
969C2×C17C2×#51811yescharacteristic
970C2×C17#342811yescharacteristic
971C2×C17#342811yescharacteristic
972C2×C17#353311yescharacteristic
973C2×C17#353311yescharacteristic
974C2×C17#353311yescharacteristic
975C2×C17#353311yescharacteristic
976D17—24no—
977D17—42no—
978D17—42no—
979C25—171no—
980C25—171no—
981C22×D4—171no—
982C22×D4—171no—
983C22×D4—178no—
984C22×D4—171no—
985C22×D4—682no—
986C22×D4—682no—
987C22×D4C22×D1711yescharacteristic
988C23×C4—171no—
989C23×C4—171no—
990C23×C4—171no—
991C23×C4—171no—
992C23×C4—178no—
993C23×C4—171no—
994C23×C4—171no—
995C23×C4—171no—
996C23×C4—171no—
997C23×C4—171no—
998C23×C4—171no—
999C23×C4—171no—
1000C23×C4—682no—
1001C23×C4—682no—
1002C23×C4C22×D1711yescharacteristic
1003C23×C4C22×D1711yescharacteristic
1004#123—178no—
1005#123—178no—
1006#123—178no—
1007#123—178no—
1008#123—178no—
1009#123—178no—
1010#123—178no—
1011#123C4×D1718yescomplemented
1012#117—682no—
1013#117—682no—
1014#117—682no—
1015#117—682no—
1016#117—682no—
1017#117—682no—
1018C2×C4⋊C4—171no—
1019C2×C4⋊C4—171no—
1020C2×C4⋊C4—171no—
1021C2×C4⋊C4—171no—
1022C2×C4⋊C4—171no—
1023C2×C4⋊C4—171no—
1024C2×C4⋊C4—178no—
1025C2×C4⋊C4—178no—
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⋊C4C22×D1711yescharacteristic
1042C2×C4⋊C4C22×D1711yescharacteristic
1043C2×C4⋊C4C22×D1711yescharacteristic
1044C2×C4⋊C4C22×D1711yescharacteristic
1045C2×C4⋊C4C22×D1711yescharacteristic
1046C2×C4⋊C4C22×D1711yescharacteristic
1047C2×C4⋊C4C22×D1711yescharacteristic
1048C2×C22⋊C4—171no—
1049C2×C22⋊C4—171no—
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—178no—
1058C2×C22⋊C4—178no—
1059C2×C22⋊C4—178no—
1060C2×C22⋊C4—171no—
1061C2×C22⋊C4—171no—
1062C2×C22⋊C4—171no—
1063C2×C22⋊C4—171no—
1064C2×C22⋊C4—171no—
1065C2×C22⋊C4—171no—
1066C2×C22⋊C4—171no—
1067C2×C22⋊C4—171no—
1068C2×C22⋊C4—171no—
1069C2×C22⋊C4—171no—
1070C2×C22⋊C4—171no—
1071C2×C22⋊C4—171no—
1072C2×C22⋊C4—171no—
1073C2×C22⋊C4—171no—
1074C2×C22⋊C4—171no—
1075C2×C22⋊C4—171no—
1076C2×C22⋊C4—171no—
1077C2×C22⋊C4—171no—
1078C2×C22⋊C4—171no—
1079C2×C22⋊C4—171no—
1080C2×C22⋊C4—171no—
1081C2×C22⋊C4—171no—
1082C2×C22⋊C4—171no—
1083C2×C22⋊C4—171no—
1084C2×C22⋊C4—171no—
1085C2×C22⋊C4—171no—
1086C2×C22⋊C4—171no—
1087C2×C22⋊C4—171no—
1088C2×C22⋊C4—171no—
1089C2×C22⋊C4—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×C42—171no—
1102C2×C42—171no—
1103C2×C42—171no—
1104C2×C42—171no—
1105C2×C42—171no—
1106C2×C42—171no—
1107C2×C42—171no—
1108C2×C42—171no—
1109C2×C42—171no—
1110C2×C42—171no—
1111C2×C42—171no—
1112C2×C42—171no—
1113C2×C42—171no—
1114C2×C42—171no—
1115C2×C42—171no—
1116C2×C42C22×D1711yescharacteristic
1117C2×C42C22×D1711yescharacteristic
1118C2×C42C22×D1711yescharacteristic
1119C2×C42C22×D1711yescharacteristic
1120C2×C42C22×D1711yescharacteristic
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#95C22×D1711yescharacteristic
1152#95C22×D1711yescharacteristic
1153#95C22×D1711yescharacteristic
1154#95C22×D1711yescharacteristic
1155#95C22×D1711yescharacteristic
1156#95C22×D1711yescharacteristic
1157#95C22×D1711yescharacteristic
1158#95C22×D1711yescharacteristic
1159#95C22×D1711yescharacteristic
1160#95C22×D1711yescharacteristic
1161C17#3435711yescharacteristic, complemented, Sylow
1162C24—171no—
1163C24—171no—
1164C24—171no—
1165C24—174no—
1166C24—174no—
1167C24—342no—
1168C24—342no—
1169C24—342no—
1170C24—342no—
1171C24—681no—
1172C24—681no—
1173C24—681no—
1174C24—681no—
1175C24—681no—
1176C24—681no—
1177C24—681no—
1178C24—681no—
1179C24C23×D1711yescharacteristic
1180C24C23×D1711yescharacteristic
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—174no—
1184C2×D4—174no—
1185C2×D4—174no—
1186C2×D4—681no—
1187C2×D4—681no—
1188C2×D4—6816no—
1189C2×D4—681no—
1190C2×D4—681no—
1191C2×D4—681no—
1192C2×D4—681no—
1193C2×D4C2×C4×D1714yes—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—171no—
1200C22×C4—171no—
1201C22×C4—171no—
1202C22×C4—171no—
1203C22×C4—171no—
1204C22×C4—174no—
1205C22×C4—174no—
1206C22×C4—174no—
1207C22×C4—174no—
1208C22×C4—174no—
1209C22×C4—174no—
1210C22×C4—174no—
1211C22×C4—174no—
1212C22×C4—171no—
1213C22×C4—171no—
1214C22×C4—171no—
1215C22×C4—171no—
1216C22×C4—171no—
1217C22×C4—171no—
1218C22×C4—171no—
1219C22×C4—171no—
1220C22×C4—342no—
1221C22×C4—342no—
1222C22×C4—342no—
1223C22×C4—342no—
1224C22×C4—342no—
1225C22×C4—342no—
1226C22×C4—681no—
1227C22×C4—681no—
1228C22×C4—681no—
1229C22×C4—681no—
1230C22×C4—681no—
1231C22×C4—681no—
1232C22×C4—681no—
1233C22×C4—681no—
1234C22×C4—681no—
1235C22×C4—681no—
1236C22×C4—681no—
1237C22×C4—681no—
1238C22×C4—681no—
1239C22×C4—681no—
1240C22×C4—6816no—
1241C22×C4—681no—
1242C22×C4—681no—
1243C22×C4—681no—
1244C22×C4—681no—
1245C22×C4—681no—
1246C22×C4C2×C4×D1714yes—
1247C22×C4C23×D1711yescharacteristic
1248C22×C4C23×D1711yescharacteristic
1249C22×C4C23×D1711yescharacteristic
1250C22×C4C23×D1711yescharacteristic
1251C22×C4C23×D1711yescharacteristic
1252C22×C4C23×D1711yescharacteristic
1253C22×C4C23×D1711yescharacteristic
1254C22×C4C23×D1711yescharacteristic
1255C22×C4C23×D1711yescharacteristic
1256C22×C4C23×D1711yescharacteristic
1257C22×C4C23×D1711yescharacteristic
1258C22×C4C23×D1711yescharacteristic
1259C22×C4C23×D1711yescharacteristic
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—174no—
1266C4⋊C4—174no—
1267C4⋊C4—174no—
1268C4⋊C4—174no—
1269C4⋊C4—174no—
1270C4⋊C4—174no—
1271C4⋊C4—681no—
1272C4⋊C4—681no—
1273C4⋊C4—681no—
1274C4⋊C4—681no—
1275C4⋊C4—681no—
1276C4⋊C4—681no—
1277C4⋊C4—681no—
1278C4⋊C4—681no—
1279C4⋊C4—681no—
1280C4⋊C4—681no—
1281C4⋊C4—681no—
1282C4⋊C4—681no—
1283C4⋊C4—681no—
1284C4⋊C4—681no—
1285C4⋊C4—681no—
1286C4⋊C4C2×C4×D1714yes—
1287C4⋊C4C2×C4×D1714yes—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—174no—
1296C22⋊C4—174no—
1297C22⋊C4—174no—
1298C22⋊C4—174no—
1299C22⋊C4—174no—
1300C22⋊C4—174no—
1301C22⋊C4—174no—
1302C22⋊C4—174no—
1303C22⋊C4—174no—
1304C22⋊C4—342no—
1305C22⋊C4—342no—
1306C22⋊C4—342no—
1307C22⋊C4—342no—
1308C22⋊C4—342no—
1309C22⋊C4—342no—
1310C22⋊C4—342no—
1311C22⋊C4—342no—
1312C22⋊C4—681no—
1313C22⋊C4—681no—
1314C22⋊C4—681no—
1315C22⋊C4—681no—
1316C22⋊C4—681no—
1317C22⋊C4—681no—
1318C22⋊C4—681no—
1319C22⋊C4—681no—
1320C22⋊C4—681no—
1321C22⋊C4—681no—
1322C22⋊C4—681no—
1323C22⋊C4—681no—
1324C22⋊C4—681no—
1325C22⋊C4—681no—
1326C22⋊C4—681no—
1327C22⋊C4—681no—
1328C22⋊C4—681no—
1329C22⋊C4—681no—
1330C22⋊C4—681no—
1331C22⋊C4—681no—
1332C22⋊C4—681no—
1333C22⋊C4C2×C4×D1714yes—
1334C22⋊C4C2×C4×D1714yes—
1335C22⋊C4C2×C4×D1714yes—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—681no—
1342C42—681no—
1343C42—681no—
1344C42—681no—
1345C42—681no—
1346C42—681no—
1347C42—681no—
1348C42—681no—
1349C42—681no—
1350C42—681no—
1351C42—681no—
1352C42—681no—
1353C42—681no—
1354C42—681no—
1355C42—681no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—172no—
1369C23—172no—
1370C23—172no—
1371C23—172no—
1372C23—172no—
1373C23—348no—
1374C23—348no—
1375C23—341no—
1376C23—341no—
1377C23—341no—
1378C23—341no—
1379C23—341no—
1380C23—341no—
1381C23—341no—
1382C23—341no—
1383C23—341no—
1384C23—341no—
1385C23—341no—
1386C23—341no—
1387C23—341no—
1388C23—341no—
1389C23—341no—
1390C23—341no—
1391C23—684no—
1392C23—684no—
1393C23—684no—
1394C23—684no—
1395C23—684no—
1396C23—684no—
1397C23—684no—
1398C23—684no—
1399C23—1362no—
1400C23—1362no—
1401C23—1362no—
1402C23—1362no—
1403C23C22×C4×D1712yes—
1404C23C22×C4×D1712yes—
1405C23C24×D1711yescharacteristic
1406D4—44no—
1407D4—684no—
1408D4—684no—
1409D4—684no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
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—44no—
1445C2×C4—82no—
1446C2×C4—172no—
1447C2×C4—172no—
1448C2×C4—172no—
1449C2×C4—172no—
1450C2×C4—172no—
1451C2×C4—348no—
1452C2×C4—348no—
1453C2×C4—348no—
1454C2×C4—341no—
1455C2×C4—341no—
1456C2×C4—341no—
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—684no—
1489C2×C4—684no—
1490C2×C4—684no—
1491C2×C4—684no—
1492C2×C4—684no—
1493C2×C4—1362no—
1494C2×C4—1362no—
1495C2×C4—1362no—
1496C2×C4C22×C4×D1712yes—
1497C2×C4C22×C4×D1712yes—
1498C2×C4C22×C4×D1712yes—
1499C2×C4C22×C4×D1712yes—
1500C2×C4C22×C4×D1712yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—174no—
1516C22—342no—
1517C22—342no—
1518C22—342no—
1519C22—342no—
1520C22—342no—
1521C22—342no—
1522C22—342no—
1523C22—342no—
1524C22—342no—
1525C22—342no—
1526C22—342no—
1527C22—342no—
1528C22—6816no—
1529C22—681no—
1530C22—681no—
1531C22—681no—
1532C22—681no—
1533C22—681no—
1534C22—681no—
1535C22—681no—
1536C22—681no—
1537C22—1368no—
1538C22C23×C4×D1711yescharacteristic
1539C22H(5,𝔽2)×D1711yescharacteristic
1540C22H(5,𝔽2)×D1711yescharacteristic
1541C22#1176364411yescharacteristic
1542C22#1176364511yescharacteristic
1543C22#1176364511yescharacteristic
1544C22#1176364611yescharacteristic
1545C4—22no—
1546C4—22no—
1547C4—22no—
1548C4—22no—
1549C4—22no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—342no—
1559C4—342no—
1560C4—342no—
1561C4—342no—
1562C4—342no—
1563C4—681no—
1564C4—681no—
1565C4—681no—
1566C4—681no—
1567C4—681no—
1568C4—681no—
1569C4—681no—
1570C4—681no—
1571C2—42no—
1572C2—42no—
1573C2—344no—
1574C2—682no—
1575C2—682no—
1576C2D17×#51811yescharacteristic
1577C2#1454198311yescharacteristic
1578C2#1454198411yescharacteristic
1579C2#1454294411yescharacteristic
1580C2#1454294711yescharacteristic
1581C2#1454295111yescharacteristic
1582C2#1454295911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2335C2
socle, cosocleC23×C17C25
prime radicalC22×D4×D17C22
hypercenter#2335D17
hypocenterC17#34357
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2335

Complements

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

NH ≅ G/Ntype
2. #14531933C2semidirect
3. #14531931C2semidirect
4. #14531929C2semidirect
5. #14531926C2semidirect
6. #14531918C2semidirect
7. #14531916C2semidirect
8. #14531913C2semidirect
9. #14531912C2semidirect
10. #14531652C2semidirect
11. #14531650C2semidirect
12. #14531650C2semidirect
13. #14531649C2semidirect
14. #14531632C2semidirect
15. #14531631C2semidirect
16. #14531628C2semidirect
17. #14531627C2semidirect
18. #14531579C2semidirect
19. #14531578C2semidirect
20. #14531575C2semidirect
21. #14531574C2semidirect
22. #14531571C2semidirect
23. #14531570C2semidirect
24. #14531567C2semidirect
25. #14531378C2semidirect
26. #14531378C2semidirect
29. #14531166C2semidirect
30. #14531165C2semidirect
31. C17×#2335C2semidirect
41. #123×D17C4semidirect
62. #11762708C22semidirect
63. #11762707C22semidirect
64. #11762706C22semidirect
65. #11762706C22semidirect
66. #11762705C22semidirect
67. #11762704C22semidirect
68. #11762704C22semidirect
69. #11762703C22semidirect
70. #11762703C22semidirect
71. #11762703C22semidirect
72. #11762703C22semidirect
73. #11762702C22semidirect
74. #11762702C22semidirect
75. #11762702C22semidirect
76. #11762702C22semidirect
77. #11762701C22semidirect
78. #11762701C22semidirect
79. #11762701C22semidirect
80. #11762701C22semidirect
81. #11762700C22semidirect
82. #11762700C22semidirect
83. #11762700C22semidirect
84. #11762700C22semidirect
85. #11762699C22semidirect
86. #11762699C22semidirect
87. #11762699C22semidirect
88. #11762699C22semidirect
89. #11762698C22semidirect
90. #11762698C22semidirect
91. #11762698C22semidirect
92. #11762698C22semidirect
93. #11762697C22semidirect
94. #11762697C22semidirect
95. #11762697C22semidirect
96. #11762697C22semidirect
97. #11762696C22semidirect
98. #11762696C22semidirect
99. #11762695C22semidirect
100. #11762695C22semidirect
101. #11762694C22semidirect
102. #11762694C22semidirect
103. #11762693C22semidirect
104. #11762693C22semidirect
105. #11762692C22semidirect
106. #11762692C22semidirect
107. #11762691C22semidirect
108. #11762691C22semidirect
109. #11762690C22semidirect
110. #11762690C22semidirect
118. #11762684C22semidirect
119. #11762683C22semidirect
120. #11762683C22semidirect
121. #11762682C22semidirect
122. #11762681C22semidirect
123. #11762680C22semidirect
124. #11762680C22semidirect
131. #11762669C22semidirect
134. #11762668C22semidirect
135. #11762668C22semidirect
136. #11762667C22semidirect
137. #11762667C22semidirect
140. #11762666C22semidirect
141. #11762666C22semidirect
148. C4⋊C4×Dic17C22semidirect
149. C4⋊C4×Dic17C22semidirect
150. C4×#63225C22semidirect
151. C4×#63225C22semidirect
152. C4×C4⋊Dic17C22semidirect
153. #11762660C22semidirect
154. #11762660C22semidirect
155. C22⋊C4×Dic17C22semidirect
156. C22⋊C4×Dic17C22semidirect
157. C22⋊C4×Dic17C22semidirect
158. C22⋊C4×Dic17C22semidirect
161. C4×#63227C22semidirect
162. C4×#63227C22semidirect
163. C4×#63227C22semidirect
164. C4×#63227C22semidirect
165. C4×C22⋊Dic17C22semidirect
166. C4×C22⋊Dic17C22semidirect
169. #11762656C22semidirect
170. #11762656C22semidirect
171. #11762656C22semidirect
172. #11762656C22semidirect
175. C17×#389C22semidirect
176. C17×#388C22semidirect
177. C17×#388C22semidirect
178. C17×#388C22semidirect
179. C17×#388C22semidirect
180. C17×#387C22semidirect
181. C17×#387C22semidirect
183. C17×#385C22semidirect
184. C17×#380C22semidirect
185. C4×C4⋊C4×C17C22semidirect
186. C4×C22⋊C4×C17C22semidirect
187. C4×C22⋊C4×C17C22semidirect
203. C22×C4×D17C2×C4semidirect
213. C17×#123C2×C4semidirect
246. #10587621C2×C4semidirect
247. #10587615C2×C4semidirect
313. #10587580C2×C4semidirect
314. #10587580C2×C4semidirect
318. C4⋊C4×D17C2×C4semidirect
319. C4⋊C4×D17C2×C4semidirect
320. #10587572C2×C4semidirect
321. #10587569C2×C4semidirect
322. #10587569C2×C4semidirect
326. C22⋊C4×D17C2×C4semidirect
734. #2335D17semidirect
850. #389C2×D17semidirect
879. #388C2×D17semidirect
880. #388C2×D17semidirect
881. #388C2×D17semidirect
882. #388C2×D17semidirect
897. #387C2×D17semidirect
898. #387C2×D17semidirect
914. #385C2×D17semidirect
932. #380C2×D17semidirect
946. C4×C4⋊C4C2×D17semidirect
965. C4×C22⋊C4C2×D17semidirect
966. C4×C22⋊C4C2×D17semidirect
1011. #123C4×D17semidirect
1161. C17#34357semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D172
#145319332
#145319312
#145319292
#145319262
#145319182
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