Finite Group Databasebeta

← #17198309

Subgroups — #17198309

Order 4352.

2758 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763374C211yesmaximal, characteristic
2#14531942C211yesmaximal, characteristic, complemented
3#14531940C211yesmaximal, characteristic, complemented
4#14531925C211yesmaximal, characteristic, complemented
5#14531924C211yesmaximal, characteristic, complemented
6#14531856C211yesmaximal, characteristic, complemented
7#14531852C211yesmaximal, characteristic, complemented
8#14531847C211yesmaximal, characteristic, complemented
9#14531846C211yesmaximal, characteristic, complemented
10#14531835C211yesmaximal, characteristic, complemented
11#14531829C211yesmaximal, characteristic, complemented
12#14531762C211yesmaximal, characteristic, complemented
13#14531623C211yesmaximal, characteristic, complemented
14#14531610C211yesmaximal, characteristic, complemented
15C22⋊C4×C22⋊D17C211yesmaximal, characteristic, complemented
16C22⋊C4×C22⋊D17C211yesmaximal, characteristic, complemented
17#14531550C211yesmaximal, characteristic, complemented
18#14531544C211yesmaximal, characteristic, complemented
19#14531505C211yesmaximal, characteristic, complemented
20#14531490C211yesmaximal, characteristic, complemented
21#14531482C211yesmaximal, characteristic, complemented
22#14531481C211yesmaximal, characteristic, complemented
23#14531443C211yesmaximal, characteristic, complemented
24#14531442C211yesmaximal, characteristic, complemented
25#14531442C211yesmaximal, characteristic, complemented
26#14531440C211yesmaximal, characteristic, complemented
27#14531388C211yesmaximal, characteristic, complemented
28C4×#10587626C211yesmaximal, characteristic, complemented
29C4×#10587571C211yesmaximal, characteristic, complemented
30#14531278C211yesmaximal, characteristic, complemented
31C17×#2358C211yesmaximal, characteristic, complemented
32C22×#63254C2211yescharacteristic
33C23×C22⋊D17C2211yescharacteristic
34#11763374C4116yescomplemented
35C2×#10587626C2211yescharacteristic
36C2×#10587626C2211yescharacteristic
37C2×#10587571C2211yescharacteristic
38C2×#10587571C2211yescharacteristic
39C2×#10587570C2211yescharacteristic
40C2×#10587570C2211yescharacteristic
41C2×#10587625C2211yescharacteristic
42C2×#10587625C2211yescharacteristic
43C2×#10587568C2211yescharacteristic
44C2×#10587639C2211yescharacteristic
45C2×#10587623C2211yescharacteristic
46C2×C4×Dic34C2211yescharacteristic, complemented
47C2×#10587573C2211yescharacteristic, complemented
48C2×C4×D68C2211yescharacteristic, complemented
49C2×#10587579C2211yescharacteristic, complemented
50C2×C4×C22⋊D17C2211yescharacteristic
51C2×C4×C22⋊D17C2211yescharacteristic
52C2×C4×C22⋊D17C2211yescharacteristic
53C2×C4×C22⋊D17C2211yescharacteristic
54C2×C4×C22⋊D17C2211yescharacteristic, complemented
55C2×C4×C22⋊D17C2211yescharacteristic, complemented
56C2×C4×C22⋊D17C2211yescharacteristic, complemented
57C2×C4×C22⋊D17C2211yescharacteristic, complemented
58C2×#10587567C2211yescharacteristic, complemented
59C2×#10587567C2211yescharacteristic, complemented
60C2×#10587563C2211yescharacteristic
61C2×C22⋊C4×D17C2211yescharacteristic
62C2×C22⋊C4×D17C2211yescharacteristic
63#11762713C2211yescharacteristic, complemented
64#11762713C2211yescharacteristic, complemented
65#11762712C2211yescharacteristic
66#11762712C2211yescharacteristic, complemented
67#11762712C2211yescharacteristic, complemented
68#11762711C2211yescharacteristic, complemented
69#11762710C2211yescharacteristic, complemented
70#11762709C2211yescharacteristic
71#11762709C2211yescharacteristic
72#11762709C2211yescharacteristic
73#11762709C2211yescharacteristic
74#11762709C2211yescharacteristic
75#11762709C2211yescharacteristic
76#11762709C2211yescharacteristic, complemented
77#11762709C2211yescharacteristic, complemented
78#11762709C2211yescharacteristic, complemented
79#11762709C2211yescharacteristic, complemented
80#11762709C2211yescharacteristic, complemented
81#11762709C2211yescharacteristic, complemented
82#11762703C2211yescharacteristic
83#11762703C2211yescharacteristic
84#11762703C2211yescharacteristic, complemented
85#11762703C2211yescharacteristic, complemented
86#11762702C2211yescharacteristic
87#11762702C2211yescharacteristic
88#11762702C2211yescharacteristic, complemented
89#11762702C2211yescharacteristic, complemented
90#11762702C2211yescharacteristic, complemented
91#11762702C2211yescharacteristic, complemented
92#11762701C2211yescharacteristic, complemented
93#11762701C2211yescharacteristic, complemented
94#11762700C2211yescharacteristic, complemented
95#11762700C2211yescharacteristic, complemented
96#11762699C2211yescharacteristic, complemented
97#11762699C2211yescharacteristic, complemented
98#11762698C2211yescharacteristic, complemented
99#11762698C2211yescharacteristic, complemented
100#11762697C2211yescharacteristic
101#11762697C2211yescharacteristic
102#11762697C2211yescharacteristic, complemented
103#11762697C2211yescharacteristic, complemented
104#11762696C2211yescharacteristic, complemented
105#11762696C2211yescharacteristic, complemented
106#11762693C2211yescharacteristic, complemented
107#11762693C2211yescharacteristic, complemented
108#11762691C2211yescharacteristic, complemented
109#11762691C2211yescharacteristic, complemented
110#11762690C2211yescharacteristic, complemented
111#11762690C2211yescharacteristic, complemented
112#11762689C2211yescharacteristic
113#11762689C2211yescharacteristic, complemented
114#11762689C2211yescharacteristic, complemented
115#11762688C2211yescharacteristic
116#11762688C2211yescharacteristic
117#11762688C2211yescharacteristic
118#11762688C2211yescharacteristic
119#11762688C2211yescharacteristic, complemented
120#11762688C2211yescharacteristic, complemented
121#11762688C2211yescharacteristic, complemented
122#11762687C2211yescharacteristic, complemented
123#11762687C2211yescharacteristic, complemented
124#11762687C2211yescharacteristic, complemented
125#11762687C2211yescharacteristic, complemented
126#11762686C2211yescharacteristic, complemented
127#11762685C2211yescharacteristic
128#11762685C2211yescharacteristic
129#11762685C2211yescharacteristic
130#11762685C2211yescharacteristic
131#11762685C2211yescharacteristic
132#11762685C2211yescharacteristic
133#11762685C2211yescharacteristic, complemented
134#11762685C2211yescharacteristic, complemented
135#11762685C2211yescharacteristic, complemented
136#11762685C2211yescharacteristic, complemented
137#11762683C2211yescharacteristic, complemented
138#11762683C2211yescharacteristic, complemented
139#11762682C2211yescharacteristic, complemented
140#11762682C2211yescharacteristic, complemented
141#11762680C2211yescharacteristic, complemented
142#11762680C2211yescharacteristic, complemented
143#11762678C2211yescharacteristic, complemented
144#11762673C2211yescharacteristic, complemented
145#11762671C2211yescharacteristic, complemented
146#11762670C2211yescharacteristic, complemented
147#11762667C2211yescharacteristic
148#11762667C2211yescharacteristic
149#11762667C2211yescharacteristic, complemented
150#11762666C2211yescharacteristic, complemented
151#11762665C2211yescharacteristic
152#11762665C2211yescharacteristic
153#11762664C2211yescharacteristic
154#11762664C2211yescharacteristic
155C4⋊C4×Dic17C2211yescharacteristic, complemented
156C4×#63225C2211yescharacteristic, complemented
157#11762660C2211yescharacteristic, complemented
158#11762660C2211yescharacteristic, complemented
159C22⋊C4×Dic17C2211yescharacteristic
160C22⋊C4×Dic17C2211yescharacteristic
161C22⋊C4×Dic17C2211yescharacteristic, complemented
162C4×#63227C2211yescharacteristic, complemented
163C4×#63227C2211yescharacteristic, complemented
164C4×#63227C2211yescharacteristic, complemented
165C4×C22⋊Dic17C2211yescharacteristic, complemented
166C4×C22⋊Dic17C2211yescharacteristic, complemented
167#11762656C2211yescharacteristic, complemented
168#11762656C2211yescharacteristic, complemented
169#11762654C2211yescharacteristic, complemented
170C2×#10587502C2211yescharacteristic, complemented
171#95×D17C2211yescharacteristic, complemented
172C42×Dic17C2211yescharacteristic, complemented
173C2×C17×#120C2211yescharacteristic
174C2×C4×D4×C17C2211yescharacteristic, complemented
175C2×C4×D4×C17C2211yescharacteristic, complemented
176C22×C22⋊C4×C17C2211yescharacteristic
177C22×C22⋊C4×C17C2211yescharacteristic
178C17×#390C2211yescharacteristic
179C17×#388C2211yescharacteristic
180C17×#388C2211yescharacteristic
181C17×#386C2211yescharacteristic
182C17×#386C2211yescharacteristic, complemented
183C17×#386C2211yescharacteristic, complemented
184C17×#385C2211yescharacteristic, complemented
185C17×#385C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic, complemented
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C25×C17C2311yescharacteristic
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C22×C22⋊D17—42no—
199C22×C22⋊D17—42no—
200C22×C22⋊D17C2×C418yescomplemented
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C23×Dic17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C23×Dic17C2311yescharacteristic
214C2×#63254—42no—
215C2×#63254—42no—
216C2×#63254C2×C418yescomplemented
217C22×D68C2311yescharacteristic
218C22×D68C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×Dic34C2311yescharacteristic
227C17×#120C2×C418yescomplemented
228C4×D4×C17—42no—
229C4×D4×C17—42no—
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17—42no—
234C2×C22⋊C4×C17—42no—
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×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C22⋊C4×C17C2311yescharacteristic
247C2×C22⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C42×C17C2311yescharacteristic
250C2×C42×C17C2311yescharacteristic
251C2×C42×C17C2311yescharacteristic
252#10587639C2×C418yescomplemented
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
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267C2×C22⋊Dic17C2311yescharacteristic
268C2×C22⋊Dic17C2311yescharacteristic
269C2×C22⋊Dic17C2311yescharacteristic
270C2×C22⋊Dic17C2311yescharacteristic
271#10587626C2×C418yescomplemented
272#10587626C2×C418yescomplemented
273#10587625C2×C418yescomplemented
274#10587625C2×C418yescomplemented
275#10587623C2×C418yescomplemented
276C4×C22⋊D17—42no—
277C4×C22⋊D17—42no—
278C4×C22⋊D17—42no—
279C4×C22⋊D17—42no—
280C4×C22⋊D17—42no—
281C4×C22⋊D17—42no—
282C4×C22⋊D17—42no—
283C4×C22⋊D17—42no—
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×C4⋊Dic17C2311yescharacteristic
307C2×C4⋊Dic17C2311yescharacteristic
308C2×C4⋊Dic17C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324C2×C4×Dic17C2311yescharacteristic
325C2×C4×Dic17C2311yescharacteristic
326C2×C4×Dic17C2311yescharacteristic
327C2×C4×Dic17C2311yescharacteristic
328C2×C4×Dic17C2311yescharacteristic
329C2×C4×Dic17C2311yescharacteristic
330C2×C4×Dic17C2311yescharacteristic
331C2×C4×Dic17C2311yescharacteristic
332C2×C4×Dic17C2311yescharacteristic
333C2×C4×Dic17C2311yescharacteristic
334C2×C4×Dic17C2311yescharacteristic
335C2×C4×Dic17C2311yescharacteristic
336#10587579—42no—
337#10587573—42no—
338#10587571C2×C418yescomplemented
339#10587571C2×C418yescomplemented
340#10587570C2×C418yescomplemented
341#10587570C2×C418yescomplemented
342#10587568C2×C418yescomplemented
343#10587567—42no—
344#10587567—42no—
345C22⋊C4×D17—42no—
346C22⋊C4×D17—42no—
347#10587563C2×C418yescomplemented
348C4×D68—42no—
349C4×Dic34—42no—
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
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
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382C24×C17—41no—
383C24×C17—41no—
384C24×C17—41no—
385C24×C17—41no—
386C24×C17—41no—
387C24×C17—41no—
388C24×C17C22×C414yes—
389C24×C17C2411yescharacteristic
390C24×C17C2411yescharacteristic
391C24×C17C2411yescharacteristic
392C24×C17C2411yescharacteristic
393C23×D17—41no—
394C23×D17—41no—
395C23×D17—41no—
396C23×D17—41no—
397C23×D17—41no—
398C23×D17—41no—
399C23×D17C22×C414yes—
400C23×D17C2411yescharacteristic
401C23×D17C2411yescharacteristic
402C23×D17C2411yescharacteristic
403C2×D4×C17—41no—
404C2×D4×C17—41no—
405C2×D4×C17—41no—
406C2×D4×C17—41no—
407C2×D4×C17—41no—
408C2×D4×C17—41no—
409C2×D4×C17C22×C414yes—
410C2×D4×C17C22×C414yes—
411C2×D4×C17C22×C414yes—
412C22×C4×C17—22no—
413C22×C4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—41no—
416C22×C4×C17—41no—
417C22×C4×C17—41no—
418C22×C4×C17—41no—
419C22×C4×C17—41no—
420C22×C4×C17—41no—
421C22×C4×C17—41no—
422C22×C4×C17—41no—
423C22×C4×C17—41no—
424C22×C4×C17—41no—
425C22×C4×C17—41no—
426C22×C4×C17—41no—
427C22×C4×C17C2411yescharacteristic
428C22×C4×C17C2411yescharacteristic
429C22×C4×C17C2411yescharacteristic
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C2×C22⋊D17—22no—
439C2×C22⋊D17—22no—
440C2×C22⋊D17—22no—
441C2×C22⋊D17—22no—
442C2×C22⋊D17—22no—
443C2×C22⋊D17—22no—
444C2×C22⋊D17—416no—
445C2×C22⋊D17—41no—
446C2×C22⋊D17—41no—
447C2×C22⋊D17—41no—
448C2×C22⋊D17—41no—
449C2×C22⋊D17—41no—
450C2×C22⋊D17—41no—
451C2×C22⋊D17—41no—
452C2×C22⋊D17—41no—
453C2×C22⋊D17—41no—
454C2×C22⋊D17—41no—
455C2×C22⋊D17—41no—
456C2×C22⋊D17—41no—
457C2×C22⋊D17—41no—
458C2×C22⋊D17—41no—
459C2×C22⋊D17C22×C414yes—
460C2×C22⋊D17C22×C414yes—
461C2×C22⋊D17C22×C414yes—
462C2×C22⋊D17C22×C414yes—
463C2×C22⋊D17C22×C414yes—
464C2×C22⋊D17C22×C414yes—
465C2×C22⋊D17C22×C414yes—
466C2×C22⋊D17C22×C414yes—
467C2×C22⋊D17C22×C414yes—
468C2×C22⋊D17C22×C414yes—
469C22×Dic17—22no—
470C22×Dic17—22no—
471C22×Dic17—41no—
472C22×Dic17—41no—
473C22×Dic17—41no—
474C22×Dic17—41no—
475C22×Dic17—41no—
476C22×Dic17C22×C414yes—
477C22×Dic17C22×C414yes—
478C22×Dic17C2411yescharacteristic
479C22×Dic17C2411yescharacteristic
480C22×Dic17C2411yescharacteristic
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483C22×Dic17C2411yescharacteristic
484C22×Dic17C2411yescharacteristic
485C22×Dic17C2411yescharacteristic
486C22×Dic17C2411yescharacteristic
487C22×Dic17C2411yescharacteristic
488C22×Dic17C2411yescharacteristic
489C22×Dic17C2411yescharacteristic
490C22×Dic17C2411yescharacteristic
491#63254—416no—
492C2×D68—41no—
493C2×D68—41no—
494C2×D68—41no—
495C2×D68—41no—
496C2×D68C22×C414yes—
497C2×D68C22×C414yes—
498C2×C4×D17—22no—
499C2×C4×D17—22no—
500C2×C4×D17—22no—
501C2×C4×D17—41no—
502C2×C4×D17—41no—
503C2×C4×D17—41no—
504C2×C4×D17—41no—
505C2×C4×D17—41no—
506C2×C4×D17—41no—
507C2×C4×D17—41no—
508C2×C4×D17—41no—
509C2×C4×D17—41no—
510C2×C4×D17—41no—
511C2×C4×D17—41no—
512C2×C4×D17—41no—
513C2×C4×D17—41no—
514C2×C4×D17—41no—
515C2×C4×D17—41no—
516C2×C4×D17—41no—
517C2×C4×D17—41no—
518C2×C4×D17C22×C414yes—
519C2×Dic34—22no—
520C2×Dic34—22no—
521C2×Dic34C22×C414yes—
522C4⋊C4×C17—22no—
523C4⋊C4×C17—41no—
524C4⋊C4×C17—41no—
525C22⋊C4×C17—22no—
526C22⋊C4×C17—22no—
527C22⋊C4×C17—22no—
528C22⋊C4×C17—22no—
529C22⋊C4×C17—22no—
530C22⋊C4×C17—41no—
531C22⋊C4×C17—41no—
532C22⋊C4×C17—41no—
533C22⋊C4×C17—41no—
534C22⋊C4×C17—41no—
535C22⋊C4×C17—41no—
536C22⋊C4×C17C22×C414yes—
537C22⋊C4×C17C22×C414yes—
538C22⋊C4×C17C22×C414yes—
539C42×C17—22no—
540C42×C17—41no—
541C42×C17—41no—
542C22⋊Dic17—41no—
543C22⋊Dic17—41no—
544C22⋊Dic17—41no—
545C22⋊Dic17—41no—
546C22⋊Dic17—41no—
547C22⋊Dic17—41no—
548C22⋊Dic17—41no—
549C22⋊Dic17—41no—
550C22⋊Dic17—41no—
551C22⋊Dic17—41no—
552C22⋊Dic17—41no—
553C22⋊Dic17—41no—
554C22⋊Dic17—41no—
555C22⋊Dic17—41no—
556C22⋊Dic17—41no—
557C22⋊Dic17C22×C414yes—
558C22⋊Dic17C22×C414yes—
559C22⋊Dic17C22×C414yes—
560#63227—22no—
561#63227—22no—
562#63227—22no—
563#63227—41no—
564#63227—41no—
565#63227—41no—
566#63227—41no—
567#63227—41no—
568#63227—41no—
569#63227—41no—
570#63227—41no—
571#63227—41no—
572#63227—41no—
573#63227—41no—
574#63227—41no—
575#63227—41no—
576#63227—41no—
577#63227—41no—
578#63227C22×C414yes—
579#63227C22×C414yes—
580#63227C22×C414yes—
581#63227C22×C414yes—
582C4⋊Dic17—41no—
583C4⋊Dic17—41no—
584C4⋊Dic17—41no—
585#63225—22no—
586#63225—22no—
587#63225—22no—
588#63225—22no—
589#63225—22no—
590#63225—41no—
591#63225—41no—
592#63225—41no—
593#63225—41no—
594#63225—41no—
595#63225C22×C414yes—
596#63225C22×C414yes—
597C4×Dic17—22no—
598C4×Dic17—22no—
599C4×Dic17—22no—
600C4×Dic17—22no—
601C4×Dic17—22no—
602C4×Dic17—41no—
603C4×Dic17—41no—
604C4×Dic17—41no—
605C4×Dic17—41no—
606C4×Dic17—41no—
607C4×Dic17—41no—
608C4×Dic17—41no—
609C4×Dic17—41no—
610C4×Dic17C22×C414yes—
611C4×Dic17C22×C414yes—
612#34438—171nomaximal, Sylow
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—44no—
638C23×C17—44no—
639C23×C17—44no—
640C23×C17—82no—
641C23×C17—82no—
642C23×C17—82no—
643C23×C17—82no—
644C23×C17C23×C412yes—
645C23×C17C23×C412yes—
646C23×C17C23×C412yes—
647C23×C17C23×C412yes—
648C23×C17C2511yescharacteristic
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—21no—
652C22×D17—21no—
653C22×D17—21no—
654C22×D17—21no—
655C22×D17—21no—
656C22×D17—21no—
657C22×D17—21no—
658C22×D17—21no—
659C22×D17—21no—
660C22×D17—21no—
661C22×D17—21no—
662C22×D17—21no—
663C22×D17—21no—
664C22×D17—21no—
665C22×D17—21no—
666C22×D17—21no—
667C22×D17—44no—
668C22×D17—44no—
669C22×D17—44no—
670C22×D17—82no—
671C22×D17—82no—
672C22×D17—82no—
673C22×D17—82no—
674C22×D17C23×C412yes—
675C22×D17C23×C412yes—
676C22×D17C23×C412yes—
677D4×C17—44no—
678D4×C17—44no—
679D4×C17—44no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—82no—
709C2×C4×C17—82no—
710C2×C4×C17—82no—
711C2×C4×C17—82no—
712C2×C4×C17—82no—
713C2×C4×C17C23×C412yes—
714C2×C4×C17C23×C412yes—
715C2×C4×C17C23×C412yes—
716C2×C4×C17H(5,𝔽2)12yes—
717C2×C4×C17H(5,𝔽2)12yes—
718C22⋊D17—28no—
719C22⋊D17—28no—
720C22⋊D17—28no—
721C22⋊D17—44no—
722C22⋊D17—44no—
723C22⋊D17—44no—
724C22⋊D17—44no—
725C22⋊D17—44no—
726C22⋊D17—44no—
727C22⋊D17—44no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—28no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—21no—
742C2×Dic17—21no—
743C2×Dic17—21no—
744C2×Dic17—21no—
745C2×Dic17—21no—
746C2×Dic17—21no—
747C2×Dic17—21no—
748C2×Dic17—21no—
749C2×Dic17—21no—
750C2×Dic17—21no—
751C2×Dic17—21no—
752C2×Dic17—21no—
753C2×Dic17—21no—
754C2×Dic17—21no—
755C2×Dic17—21no—
756C2×Dic17—21no—
757C2×Dic17—21no—
758C2×Dic17—21no—
759C2×Dic17—21no—
760C2×Dic17—21no—
761C2×Dic17—44no—
762C2×Dic17—82no—
763C2×Dic17C23×C412yes—
764C2×Dic17C23×C412yes—
765C2×Dic17C23×C412yes—
766C2×Dic17C23×C412yes—
767C2×Dic17C23×C412yes—
768C2×Dic17H(5,𝔽2)12yes—
769C2×Dic17H(5,𝔽2)12yes—
770D68—44no—
771D68—44no—
772C4×D17—44no—
773C4×D17—82no—
774C4×D17—82no—
775C4×D17—82no—
776C4×D17—82no—
777C4×D17—82no—
778C4×D17—82no—
779Dic34—28no—
780C2×#535—171no—
781#2377—171no—
782#2377—171no—
783#2375—171no—
784#2375—171no—
785#2367—171no—
786#2367—171no—
787#2366—171no—
788#2366—171no—
789#2364—171no—
790#2364—171no—
791#2358—171no—
792#2358D1711yescharacteristic, complemented
793#2341—171no—
794#2339—171no—
795D4×C22⋊C4—171no—
796D4×C22⋊C4—171no—
797#2333—171no—
798#2333—171no—
799#2328—171no—
800#2326—171no—
801#2325—171no—
802#2325—171no—
803#2321—171no—
804#2321—171no—
805#2321—171no—
806#2321—171no—
807#2314—171no—
808C4×#127—171no—
809C4×#124—171no—
810#2298—171no—
811C22×C17—22no—
812C22×C17—22no—
813C22×C17—22no—
814C22×C17—22no—
815C22×C17—22no—
816C22×C17—22no—
817C22×C17—22no—
818C22×C17—22no—
819C22×C17—22no—
820C22×C17—22no—
821C22×C17—22no—
822C22×C17—22no—
823C22×C17—41no—
824C22×C17—41no—
825C22×C17—41no—
826C22×C17—41no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17—88no—
840C22×C17C24×C411yescharacteristic
841C22×C17C2×H(5,𝔽2)11yescharacteristic
842C22×C17C2×H(5,𝔽2)11yescharacteristic
843C22×C17C2×H(5,𝔽2)11yescharacteristic
844C22×C17C2×H(5,𝔽2)11yescharacteristic
845C22×C17#58511yescharacteristic
846C22×C17#58511yescharacteristic
847C2×D17—22no—
848C2×D17—22no—
849C2×D17—22no—
850C2×D17—22no—
851C2×D17—22no—
852C2×D17—22no—
853C2×D17—22no—
854C2×D17—22no—
855C2×D17—22no—
856C2×D17—41no—
857C2×D17—41no—
858C2×D17—41no—
859C2×D17—41no—
860C2×D17—41no—
861C2×D17—41no—
862C2×D17—41no—
863C2×D17—41no—
864C2×D17—41no—
865C2×D17—41no—
866C2×D17—41no—
867C2×D17—41no—
868C2×D17—88no—
869C4×C17—22no—
870C4×C17—22no—
871C4×C17—22no—
872C4×C17—22no—
873C4×C17—22no—
874C4×C17—41no—
875C4×C17—41no—
876C4×C17—41no—
877C4×C17—41no—
878C4×C17—41no—
879C4×C17—41no—
880Dic17—22no—
881Dic17—22no—
882Dic17—22no—
883Dic17—22no—
884Dic17—41no—
885Dic17—41no—
886Dic17—41no—
887Dic17—41no—
888Dic17—41no—
889Dic17—41no—
890Dic17—41no—
891Dic17—41no—
892Dic17#51814yes—
893C22×#41—171no—
894C23×D4—171no—
895#535—1716no—
896C2×#127—171no—
897C2×#127—171no—
898C2×#124—171no—
899C2×#124—171no—
900C2×#121—171no—
901C2×#121—171no—
902C2×#121—171no—
903C2×#121—171no—
904C2×#120—171no—
905C2×#120—171no—
906C2×#120—171no—
907C2×#120C2×D1711yescharacteristic
908C2×C4×Q8—171no—
909C2×C4×Q8—171no—
910C2×C4×D4—171no—
911C2×C4×D4—171no—
912C2×C4×D4—171no—
913C2×C4×D4—171no—
914C2×C4×D4—171no—
915C2×C4×D4—171no—
916C2×C4×D4—171no—
917C2×C4×D4—171no—
918C2×C4×D4—171no—
919C2×C4×D4—171no—
920C2×C4×D4—171no—
921C2×C4×D4—171no—
922C2×C4×D4C2×D1711yescharacteristic, complemented
923C2×C4×D4C2×D1711yescharacteristic, complemented
924C2×#117—171no—
925C22×C22⋊C4—171no—
926C22×C22⋊C4—171no—
927C22×C22⋊C4C2×D1711yescharacteristic
928C22×C22⋊C4C2×D1711yescharacteristic
929#391—171no—
930#391—171no—
931#390—171no—
932#390—171no—
933#390—171no—
934#390—171no—
935#390—171no—
936#390—171no—
937#390—171no—
938#390—171no—
939#390—171no—
940#390—171no—
941#390—171no—
942#390—171no—
943#390—171no—
944#390—171no—
945#390—171no—
946#390—171no—
947#390—171no—
948#390C2×D1711yescharacteristic
949#388—171no—
950#388—171no—
951#388—171no—
952#388—171no—
953#388—171no—
954#388—171no—
955#388—171no—
956#388—171no—
957#388—171no—
958#388—171no—
959#388—171no—
960#388—171no—
961#388—171no—
962#388—171no—
963#388—171no—
964#388—171no—
965#388—171no—
966#388—171no—
967#388—171no—
968#388—171no—
969#388—171no—
970#388—171no—
971#388C2×D1711yescharacteristic
972#388C2×D1711yescharacteristic
973#387—171no—
974#387—171no—
975#387—171no—
976#387—171no—
977#387—171no—
978#387—171no—
979#387—171no—
980#387—171no—
981#386—171no—
982#386—171no—
983#386—171no—
984#386—171no—
985#386—171no—
986#386—171no—
987#386—171no—
988#386—171no—
989#386—171no—
990#386—171no—
991#386—171no—
992#386—171no—
993#386—171no—
994#386—171no—
995#386—171no—
996#386—171no—
997#386—171no—
998#386—171no—
999#386—171no—
1000#386—171no—
1001#386—171no—
1002#386—171no—
1003#386—171no—
1004#386—171no—
1005#386—171no—
1006#386C2×D1711yescharacteristic
1007#386C2×D1711yescharacteristic, complemented
1008#386C2×D1711yescharacteristic, complemented
1009#385—171no—
1010#385—171no—
1011#385—171no—
1012#385—171no—
1013#385—171no—
1014#385—171no—
1015#385C2×D1711yescharacteristic, complemented
1016#385C2×D1711yescharacteristic, complemented
1017#384—171no—
1018#382—171no—
1019#381—171no—
1020#381—171no—
1021#380—171no—
1022#380—171no—
1023#380—171no—
1024#380—171no—
1025#379—171no—
1026#379—171no—
1027#379—171no—
1028#379—171no—
1029C4×C4⋊C4—171no—
1030C4×C4⋊C4—171no—
1031C4×C4⋊C4—171no—
1032C4×C4⋊C4—171no—
1033C4×C22⋊C4—171no—
1034C4×C22⋊C4—171no—
1035C4×C22⋊C4—171no—
1036C4×C22⋊C4—171no—
1037C4×C22⋊C4—171no—
1038C4×C22⋊C4—171no—
1039C4×C22⋊C4—171no—
1040C4×C22⋊C4—171no—
1041C4×C22⋊C4—171no—
1042C4×C22⋊C4—171no—
1043C4×C22⋊C4C2×D1711yescharacteristic, complemented
1044C4×C22⋊C4C2×D1711yescharacteristic, complemented
1045#376—171no—
1046C2×#95—171no—
1047C2×#95—171no—
1048C43—171no—
1049C2×C17—42no—
1050C2×C17—42no—
1051C2×C17—42no—
1052C2×C17—42no—
1053C2×C17C2×#51811yescharacteristic
1054C2×C17C4×H(5,𝔽2)11yescharacteristic
1055C2×C17C4×H(5,𝔽2)11yescharacteristic
1056C2×C17#354311yescharacteristic
1057C2×C17#354611yescharacteristic
1058C2×C17#355811yescharacteristic
1059C2×C17#356211yescharacteristic
1060D17—42no—
1061D17—42no—
1062D17—42no—
1063C25—171no—
1064C25C22×D1711yescharacteristic
1065C2×#41—178no—
1066C2×#41—682no—
1067C2×#41—682no—
1068C22×Q8—171no—
1069C22×D4—171no—
1070C22×D4—171no—
1071C22×D4—171no—
1072C22×D4—178no—
1073C22×D4—171no—
1074C22×D4—171no—
1075C22×D4—171no—
1076C22×D4—171no—
1077C22×D4—171no—
1078C22×D4—171no—
1079C22×D4—171no—
1080C22×D4—171no—
1081C22×D4—171no—
1082C22×D4—682no—
1083C22×D4—682no—
1084C22×D4C22×D1711yescharacteristic
1085C22×D4C22×D1711yescharacteristic
1086C22×D4C22×D1711yescharacteristic
1087C23×C4—171no—
1088C23×C4—171no—
1089C23×C4—171no—
1090C23×C4—171no—
1091C23×C4—171no—
1092C23×C4—171no—
1093C23×C4—171no—
1094C23×C4—171no—
1095C23×C4—171no—
1096C23×C4—171no—
1097C23×C4C22×D1711yescharacteristic
1098C23×C4C22×D1711yescharacteristic
1099C23×C4C22×D1711yescharacteristic
1100C23×C4C22×D1711yescharacteristic
1101C23×C4C22×D1711yescharacteristic
1102#127—178no—
1103#127—178no—
1104#124—178no—
1105#124—178no—
1106#121—178no—
1107#121—178no—
1108#121—178no—
1109#121—178no—
1110#120—178no—
1111#120—178no—
1112#120—178no—
1113#120C4×D1718yescomplemented
1114C4×Q8—682no—
1115C4×Q8—682no—
1116C4×D4—42no—
1117C4×D4—42no—
1118C4×D4—682no—
1119C4×D4—682no—
1120C4×D4—682no—
1121C4×D4—682no—
1122C4×D4—682no—
1123C4×D4—682no—
1124C4×D4—682no—
1125C4×D4—682no—
1126C4×D4—682no—
1127C4×D4—682no—
1128C4×D4—682no—
1129C4×D4—682no—
1130#117—178no—
1131C2×C4⋊C4—171no—
1132C2×C4⋊C4—171no—
1133C2×C4⋊C4—171no—
1134C2×C4⋊C4—171no—
1135C2×C4⋊C4—171no—
1136C2×C4⋊C4—171no—
1137C2×C4⋊C4—171no—
1138C2×C4⋊C4—171no—
1139C2×C4⋊C4—171no—
1140C2×C4⋊C4—171no—
1141C2×C4⋊C4—171no—
1142C2×C4⋊C4—171no—
1143C2×C4⋊C4—171no—
1144C2×C4⋊C4—171no—
1145C2×C4⋊C4—171no—
1146C2×C4⋊C4C22×D1711yescharacteristic
1147C2×C4⋊C4C22×D1711yescharacteristic
1148C2×C4⋊C4C22×D1711yescharacteristic
1149C2×C22⋊C4—42no—
1150C2×C22⋊C4—42no—
1151C2×C22⋊C4—171no—
1152C2×C22⋊C4—171no—
1153C2×C22⋊C4—171no—
1154C2×C22⋊C4—171no—
1155C2×C22⋊C4—171no—
1156C2×C22⋊C4—171no—
1157C2×C22⋊C4—171no—
1158C2×C22⋊C4—171no—
1159C2×C22⋊C4—171no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—171no—
1162C2×C22⋊C4—171no—
1163C2×C22⋊C4—171no—
1164C2×C22⋊C4—171no—
1165C2×C22⋊C4—171no—
1166C2×C22⋊C4—171no—
1167C2×C22⋊C4—171no—
1168C2×C22⋊C4—171no—
1169C2×C22⋊C4—171no—
1170C2×C22⋊C4—171no—
1171C2×C22⋊C4—171no—
1172C2×C22⋊C4—171no—
1173C2×C22⋊C4—171no—
1174C2×C22⋊C4—171no—
1175C2×C22⋊C4—171no—
1176C2×C22⋊C4—171no—
1177C2×C22⋊C4—171no—
1178C2×C22⋊C4—171no—
1179C2×C22⋊C4—171no—
1180C2×C22⋊C4—171no—
1181C2×C22⋊C4—171no—
1182C2×C22⋊C4—171no—
1183C2×C22⋊C4—171no—
1184C2×C22⋊C4—171no—
1185C2×C22⋊C4—171no—
1186C2×C22⋊C4—171no—
1187C2×C22⋊C4—171no—
1188C2×C22⋊C4—171no—
1189C2×C22⋊C4—171no—
1190C2×C22⋊C4—171no—
1191C2×C22⋊C4—682no—
1192C2×C22⋊C4—682no—
1193C2×C22⋊C4C22×D1711yescharacteristic
1194C2×C22⋊C4C22×D1711yescharacteristic
1195C2×C22⋊C4C22×D1711yescharacteristic
1196C2×C22⋊C4C22×D1711yescharacteristic
1197C2×C22⋊C4C22×D1711yescharacteristic
1198C2×C22⋊C4C22×D1711yescharacteristic
1199C2×C22⋊C4C22×D1711yescharacteristic
1200C2×C22⋊C4C22×D1711yescharacteristic
1201C2×C22⋊C4C22×D1711yescharacteristic
1202C2×C22⋊C4C22×D1711yescharacteristic
1203C2×C22⋊C4C22×D1711yescharacteristic
1204C2×C22⋊C4C22×D1711yescharacteristic
1205C2×C22⋊C4C22×D1711yescharacteristic
1206C2×C22⋊C4C22×D1711yescharacteristic
1207C2×C42—171no—
1208C2×C42—171no—
1209C2×C42—171no—
1210C2×C42—171no—
1211C2×C42—171no—
1212C2×C42—171no—
1213C2×C42—171no—
1214C2×C42—171no—
1215C2×C42—171no—
1216C2×C42—171no—
1217C2×C42—171no—
1218C2×C42—171no—
1219C2×C42—171no—
1220C2×C42—171no—
1221C2×C42—171no—
1222C2×C42C22×D1711yescharacteristic
1223C2×C42C22×D1711yescharacteristic
1224C2×C42C22×D1711yescharacteristic
1225#95—171no—
1226#95—171no—
1227#95—171no—
1228#95—171no—
1229#95—171no—
1230#95—171no—
1231#95—171no—
1232#95—171no—
1233#95—171no—
1234#95—171no—
1235#95—171no—
1236#95—171no—
1237#95—171no—
1238#95—171no—
1239#95—171no—
1240#95—171no—
1241#95—171no—
1242#95—171no—
1243#95—171no—
1244#95—171no—
1245#95—171no—
1246#95—171no—
1247#95—171no—
1248#95—171no—
1249#95—171no—
1250#95—171no—
1251#95C22×D1711yescharacteristic
1252#95C22×D1711yescharacteristic
1253#95C22×D1711yescharacteristic
1254#95C22×D1711yescharacteristic
1255#95C22×D1711yescharacteristic
1256#95C22×D1711yescharacteristic
1257C17#3443811yescharacteristic, complemented, Sylow
1258C24—41no—
1259C24—41no—
1260C24—41no—
1261C24—41no—
1262C24—41no—
1263C24—41no—
1264C24—171no—
1265C24—171no—
1266C24—171no—
1267C24—174no—
1268C24—681no—
1269C24—681no—
1270C24—681no—
1271C24—681no—
1272C24—681no—
1273C24—681no—
1274C24C2×C4×D1714yes—
1275C24C23×D1711yescharacteristic
1276C24C23×D1711yescharacteristic
1277C24C23×D1711yescharacteristic
1278C24C23×D1711yescharacteristic
1279#41—6816no—
1280C2×Q8—174no—
1281C2×Q8—342no—
1282C2×Q8—342no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—174no—
1290C2×D4—174no—
1291C2×D4—174no—
1292C2×D4—174no—
1293C2×D4—174no—
1294C2×D4—174no—
1295C2×D4—174no—
1296C2×D4—174no—
1297C2×D4—174no—
1298C2×D4—174no—
1299C2×D4—174no—
1300C2×D4—174no—
1301C2×D4—342no—
1302C2×D4—342no—
1303C2×D4—342no—
1304C2×D4—342no—
1305C2×D4—342no—
1306C2×D4—342no—
1307C2×D4—681no—
1308C2×D4—681no—
1309C2×D4—681no—
1310C2×D4—681no—
1311C2×D4—6816no—
1312C2×D4—681no—
1313C2×D4—681no—
1314C2×D4—681no—
1315C2×D4—681no—
1316C2×D4—681no—
1317C2×D4—681no—
1318C2×D4—681no—
1319C2×D4—681no—
1320C2×D4—681no—
1321C2×D4—681no—
1322C2×D4—681no—
1323C2×D4—681no—
1324C2×D4—681no—
1325C2×D4—681no—
1326C2×D4C2×C4×D1714yes—
1327C2×D4C2×C4×D1714yes—
1328C2×D4C2×C4×D1714yes—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—171no—
1345C22×C4—174no—
1346C22×C4—171no—
1347C22×C4—171no—
1348C22×C4—171no—
1349C22×C4—171no—
1350C22×C4—174no—
1351C22×C4—174no—
1352C22×C4—171no—
1353C22×C4—171no—
1354C22×C4—171no—
1355C22×C4—171no—
1356C22×C4—171no—
1357C22×C4—171no—
1358C22×C4—171no—
1359C22×C4—171no—
1360C22×C4—342no—
1361C22×C4—342no—
1362C22×C4—342no—
1363C22×C4—342no—
1364C22×C4—342no—
1365C22×C4—681no—
1366C22×C4—681no—
1367C22×C4—681no—
1368C22×C4—681no—
1369C22×C4—681no—
1370C22×C4—681no—
1371C22×C4—681no—
1372C22×C4—681no—
1373C22×C4—681no—
1374C22×C4—681no—
1375C22×C4—681no—
1376C22×C4—681no—
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×C4C23×D1711yescharacteristic
1388C22×C4C23×D1711yescharacteristic
1389C22×C4C23×D1711yescharacteristic
1390C22×C4C23×D1711yescharacteristic
1391C22×C4C23×D1711yescharacteristic
1392C22×C4C23×D1711yescharacteristic
1393C22×C4C23×D1711yescharacteristic
1394C22×C4C23×D1711yescharacteristic
1395C22×C4C23×D1711yescharacteristic
1396C22×C4C23×D1711yescharacteristic
1397C22×C4C23×D1711yescharacteristic
1398C4⋊C4—22no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—174no—
1402C4⋊C4—174no—
1403C4⋊C4—342no—
1404C4⋊C4—342no—
1405C4⋊C4—342no—
1406C4⋊C4—342no—
1407C4⋊C4—342no—
1408C4⋊C4—681no—
1409C4⋊C4—681no—
1410C4⋊C4—681no—
1411C4⋊C4—681no—
1412C4⋊C4—681no—
1413C4⋊C4—681no—
1414C4⋊C4—681no—
1415C4⋊C4—681no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—174no—
1428C22⋊C4—174no—
1429C22⋊C4—174no—
1430C22⋊C4—174no—
1431C22⋊C4—174no—
1432C22⋊C4—174no—
1433C22⋊C4—174no—
1434C22⋊C4—342no—
1435C22⋊C4—342no—
1436C22⋊C4—342no—
1437C22⋊C4—681no—
1438C22⋊C4—681no—
1439C22⋊C4—681no—
1440C22⋊C4—681no—
1441C22⋊C4—681no—
1442C22⋊C4—681no—
1443C22⋊C4—681no—
1444C22⋊C4—681no—
1445C22⋊C4—681no—
1446C22⋊C4—681no—
1447C22⋊C4—681no—
1448C22⋊C4—681no—
1449C22⋊C4—681no—
1450C22⋊C4—681no—
1451C22⋊C4—681no—
1452C22⋊C4—681no—
1453C22⋊C4—681no—
1454C22⋊C4—681no—
1455C22⋊C4—681no—
1456C22⋊C4—681no—
1457C22⋊C4—681no—
1458C22⋊C4—681no—
1459C22⋊C4—681no—
1460C22⋊C4—681no—
1461C22⋊C4—681no—
1462C22⋊C4—681no—
1463C22⋊C4—681no—
1464C22⋊C4—681no—
1465C22⋊C4—681no—
1466C22⋊C4—681no—
1467C22⋊C4C2×C4×D1714yes—
1468C22⋊C4C2×C4×D1714yes—
1469C22⋊C4C2×C4×D1714yes—
1470C42—22no—
1471C42—41no—
1472C42—41no—
1473C42—174no—
1474C42—174no—
1475C42—342no—
1476C42—342no—
1477C42—342no—
1478C42—342no—
1479C42—342no—
1480C42—681no—
1481C42—681no—
1482C42—681no—
1483C42—681no—
1484C42—681no—
1485C42—681no—
1486C42—681no—
1487C42—681no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—82no—
1516C23—82no—
1517C23—82no—
1518C23—82no—
1519C23—172no—
1520C23—172no—
1521C23—172no—
1522C23—341no—
1523C23—341no—
1524C23—341no—
1525C23—341no—
1526C23—341no—
1527C23—341no—
1528C23—341no—
1529C23—341no—
1530C23—341no—
1531C23—341no—
1532C23—341no—
1533C23—341no—
1534C23—341no—
1535C23—341no—
1536C23—341no—
1537C23—341no—
1538C23—341no—
1539C23—341no—
1540C23—684no—
1541C23—684no—
1542C23—684no—
1543C23—1362no—
1544C23—1362no—
1545C23—1362no—
1546C23—1362no—
1547C23C22×C4×D1712yes—
1548C23C22×C4×D1712yes—
1549C23C22×C4×D1712yes—
1550C23C22×C4×D1712yes—
1551C23C24×D1711yescharacteristic
1552Q8—348no—
1553D4—44no—
1554D4—44no—
1555D4—44no—
1556D4—348no—
1557D4—348no—
1558D4—348no—
1559D4—684no—
1560D4—684no—
1561D4—684no—
1562D4—684no—
1563D4—684no—
1564D4—684no—
1565D4—684no—
1566D4—684no—
1567D4—684no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—82no—
1597C2×C4—82no—
1598C2×C4—82no—
1599C2×C4—82no—
1600C2×C4—82no—
1601C2×C4—172no—
1602C2×C4—172no—
1603C2×C4—172no—
1604C2×C4—172no—
1605C2×C4—172no—
1606C2×C4—172no—
1607C2×C4—172no—
1608C2×C4—348no—
1609C2×C4—341no—
1610C2×C4—341no—
1611C2×C4—341no—
1612C2×C4—341no—
1613C2×C4—341no—
1614C2×C4—341no—
1615C2×C4—341no—
1616C2×C4—341no—
1617C2×C4—341no—
1618C2×C4—341no—
1619C2×C4—341no—
1620C2×C4—341no—
1621C2×C4—341no—
1622C2×C4—341no—
1623C2×C4—341no—
1624C2×C4—341no—
1625C2×C4—341no—
1626C2×C4—341no—
1627C2×C4—341no—
1628C2×C4—341no—
1629C2×C4—341no—
1630C2×C4—341no—
1631C2×C4—341no—
1632C2×C4—341no—
1633C2×C4—341no—
1634C2×C4—341no—
1635C2×C4—341no—
1636C2×C4—341no—
1637C2×C4—341no—
1638C2×C4—341no—
1639C2×C4—341no—
1640C2×C4—341no—
1641C2×C4—684no—
1642C2×C4—684no—
1643C2×C4—1362no—
1644C2×C4—1362no—
1645C2×C4—1362no—
1646C2×C4—1362no—
1647C2×C4—1362no—
1648C2×C4—1362no—
1649C2×C4—1362no—
1650C2×C4C22×C4×D1712yes—
1651C2×C4C22×C4×D1712yes—
1652C2×C4C22×C4×D1712yes—
1653C2×C4#1058769112yes—
1654C2×C4#1058769112yes—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—88no—
1684C22—342no—
1685C22—342no—
1686C22—342no—
1687C22—342no—
1688C22—342no—
1689C22—342no—
1690C22—342no—
1691C22—342no—
1692C22—342no—
1693C22—681no—
1694C22—681no—
1695C22—681no—
1696C22—681no—
1697C22—681no—
1698C22—681no—
1699C22—681no—
1700C22—681no—
1701C22—681no—
1702C22—681no—
1703C22—681no—
1704C22—681no—
1705C22—1368no—
1706C22C23×C4×D1711yescharacteristic
1707C22H(5,𝔽2)×D1711yescharacteristic
1708C22H(5,𝔽2)×D1711yescharacteristic
1709C22C2×#1058769111yescharacteristic
1710C22C2×#1058769111yescharacteristic
1711C22#1176364511yescharacteristic
1712C22#1176364511yescharacteristic
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—22no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—174no—
1725C4—342no—
1726C4—342no—
1727C4—342no—
1728C4—342no—
1729C4—681no—
1730C4—681no—
1731C4—681no—
1732C4—681no—
1733C4—681no—
1734C4—681no—
1735C4—681no—
1736C4—681no—
1737C2—42no—
1738C2—42no—
1739C2—42no—
1740C2—42no—
1741C2—682no—
1742C2—682no—
1743C2—682no—
1744C2D17×#51811yescharacteristic
1745C2C4×#1058769111yescharacteristic
1746C2C4×#1058769111yescharacteristic
1747C2#1454310911yescharacteristic
1748C2#1454314811yescharacteristic
1749C2#1454329411yescharacteristic
1750C2#1454336511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2358C2
socle, cosocleC23×C17C25
prime radicalC2×#11763374C2
hypercenter#2358D17
hypocenterC17#34438
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. #14531942C2semidirect
3. #14531940C2semidirect
4. #14531925C2semidirect
5. #14531924C2semidirect
6. #14531856C2semidirect
7. #14531852C2semidirect
8. #14531847C2semidirect
9. #14531846C2semidirect
10. #14531835C2semidirect
11. #14531829C2semidirect
12. #14531762C2semidirect
13. #14531623C2semidirect
14. #14531610C2semidirect
15. C22⋊C4×C22⋊D17C2semidirect
16. C22⋊C4×C22⋊D17C2semidirect
17. #14531550C2semidirect
18. #14531544C2semidirect
19. #14531505C2semidirect
20. #14531490C2semidirect
21. #14531482C2semidirect
22. #14531481C2semidirect
23. #14531443C2semidirect
24. #14531442C2semidirect
25. #14531442C2semidirect
26. #14531440C2semidirect
27. #14531388C2semidirect
28. C4×#10587626C2semidirect
29. C4×#10587571C2semidirect
30. #14531278C2semidirect
31. C17×#2358C2semidirect
34. #11763374C4semidirect
46. C2×C4×Dic34C22semidirect
47. C2×#10587573C22semidirect
48. C2×C4×D68C22semidirect
49. C2×#10587579C22semidirect
54. C2×C4×C22⋊D17C22semidirect
55. C2×C4×C22⋊D17C22semidirect
56. C2×C4×C22⋊D17C22semidirect
57. C2×C4×C22⋊D17C22semidirect
58. C2×#10587567C22semidirect
59. C2×#10587567C22semidirect
63. #11762713C22semidirect
64. #11762713C22semidirect
66. #11762712C22semidirect
67. #11762712C22semidirect
68. #11762711C22semidirect
69. #11762710C22semidirect
76. #11762709C22semidirect
77. #11762709C22semidirect
78. #11762709C22semidirect
79. #11762709C22semidirect
80. #11762709C22semidirect
81. #11762709C22semidirect
84. #11762703C22semidirect
85. #11762703C22semidirect
88. #11762702C22semidirect
89. #11762702C22semidirect
90. #11762702C22semidirect
91. #11762702C22semidirect
92. #11762701C22semidirect
93. #11762701C22semidirect
94. #11762700C22semidirect
95. #11762700C22semidirect
96. #11762699C22semidirect
97. #11762699C22semidirect
98. #11762698C22semidirect
99. #11762698C22semidirect
102. #11762697C22semidirect
103. #11762697C22semidirect
104. #11762696C22semidirect
105. #11762696C22semidirect
106. #11762693C22semidirect
107. #11762693C22semidirect
108. #11762691C22semidirect
109. #11762691C22semidirect
110. #11762690C22semidirect
111. #11762690C22semidirect
113. #11762689C22semidirect
114. #11762689C22semidirect
119. #11762688C22semidirect
120. #11762688C22semidirect
121. #11762688C22semidirect
122. #11762687C22semidirect
123. #11762687C22semidirect
124. #11762687C22semidirect
125. #11762687C22semidirect
126. #11762686C22semidirect
133. #11762685C22semidirect
134. #11762685C22semidirect
135. #11762685C22semidirect
136. #11762685C22semidirect
137. #11762683C22semidirect
138. #11762683C22semidirect
139. #11762682C22semidirect
140. #11762682C22semidirect
141. #11762680C22semidirect
142. #11762680C22semidirect
143. #11762678C22semidirect
144. #11762673C22semidirect
145. #11762671C22semidirect
146. #11762670C22semidirect
149. #11762667C22semidirect
150. #11762666C22semidirect
155. C4⋊C4×Dic17C22semidirect
156. C4×#63225C22semidirect
157. #11762660C22semidirect
158. #11762660C22semidirect
161. C22⋊C4×Dic17C22semidirect
162. C4×#63227C22semidirect
163. C4×#63227C22semidirect
164. C4×#63227C22semidirect
165. C4×C22⋊Dic17C22semidirect
166. C4×C22⋊Dic17C22semidirect
167. #11762656C22semidirect
168. #11762656C22semidirect
169. #11762654C22semidirect
170. C2×#10587502C22semidirect
171. #95×D17C22semidirect
172. C42×Dic17C22semidirect
174. C2×C4×D4×C17C22semidirect
175. C2×C4×D4×C17C22semidirect
182. C17×#386C22semidirect
183. C17×#386C22semidirect
184. C17×#385C22semidirect
185. C17×#385C22semidirect
186. C4×C22⋊C4×C17C22semidirect
187. C4×C22⋊C4×C17C22semidirect
200. C22×C22⋊D17C2×C4semidirect
216. C2×#63254C2×C4semidirect
227. C17×#120C2×C4semidirect
252. #10587639C2×C4semidirect
271. #10587626C2×C4semidirect
272. #10587626C2×C4semidirect
273. #10587625C2×C4semidirect
274. #10587625C2×C4semidirect
275. #10587623C2×C4semidirect
338. #10587571C2×C4semidirect
339. #10587571C2×C4semidirect
340. #10587570C2×C4semidirect
341. #10587570C2×C4semidirect
342. #10587568C2×C4semidirect
347. #10587563C2×C4semidirect
792. #2358D17semidirect
922. C2×C4×D4C2×D17semidirect
923. C2×C4×D4C2×D17semidirect
1007. #386C2×D17semidirect
1008. #386C2×D17semidirect
1015. #385C2×D17semidirect
1016. #385C2×D17semidirect
1043. C4×C22⋊C4C2×D17semidirect
1044. C4×C22⋊C4C2×D17semidirect
1113. #120C4×D17semidirect
1257. C17#34438semidirect

Maximal subgroups

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

subgroupindex
C2×#117633742
#145319422
#145319402
#145319252
#145319242
#145318562
#145318522
#145318472
#145318462
#145318352
#145318292
#145317622
#145316232
#145316102
C22⋊C4×C22⋊D172
#145315502
#145315442
#145315052
#145314902
#145314822
#145314812
#145314432
#145314422
#145314402
#145313882
C4×#105876262
C4×#105875712
#145312782
C17×#23582
#3443817