Finite Group Databasebeta

← #17197699

Subgroups — #17197699

Order 4352.

2890 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763368C211yesmaximal, characteristic
2#14531942C211yesmaximal, characteristic, complemented
3#14531935C211yesmaximal, characteristic, complemented
4#14531928C211yesmaximal, characteristic, complemented
5#14531923C211yesmaximal, characteristic, complemented
6#14531915C211yesmaximal, characteristic, complemented
7#14531825C211yesmaximal, characteristic, complemented
8#14531819C211yesmaximal, characteristic, complemented
9#14531782C211yesmaximal, characteristic, complemented
10#14531782C211yesmaximal, characteristic, complemented
11#14531770C211yesmaximal, characteristic, complemented
12#14531770C211yesmaximal, characteristic, complemented
13#14531763C211yesmaximal, characteristic, complemented
14#14531635C211yesmaximal, characteristic, complemented
15#14531629C211yesmaximal, characteristic, complemented
16D4×C22⋊Dic17C211yesmaximal, characteristic, complemented
17#14531574C211yesmaximal, characteristic, complemented
18#14531570C211yesmaximal, characteristic, complemented
19#14531550C211yesmaximal, characteristic, complemented
20#14531543C211yesmaximal, characteristic, complemented
21#14531474C211yesmaximal, characteristic, complemented
22#14531470C211yesmaximal, characteristic, complemented
23#14531447C211yesmaximal, characteristic, complemented
24#14531442C211yesmaximal, characteristic, complemented
25#14531439C211yesmaximal, characteristic, complemented
26#14531438C211yesmaximal, characteristic, complemented
27#14531365C211yesmaximal, characteristic, complemented
28#14531289C211yesmaximal, characteristic, complemented
29C4×#10587623C211yesmaximal, characteristic, complemented
30C2×#11762685C211yesmaximal, characteristic, complemented
31D4×C22⋊C4×C17C211yesmaximal, characteristic, complemented
32C23×C22⋊D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic, complemented
34#11763368C4116yescomplemented
35C2×#10587615C2211yescharacteristic
36C2×#10587615C2211yescharacteristic
37C2×#10587621C2211yescharacteristic
38C2×#10587621C2211yescharacteristic
39C2×#10587625C2211yescharacteristic
40C2×#10587625C2211yescharacteristic
41C2×#10587625C2211yescharacteristic
42C2×#10587625C2211yescharacteristic
43C2×#10587639C2211yescharacteristic
44C2×#10587639C2211yescharacteristic
45C2×#10587623C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×D4×Dic17C2211yescharacteristic
48C2×D4×Dic17C2211yescharacteristic
49C2×C4×C22⋊D17C2211yescharacteristic, complemented
50C2×C4×C22⋊D17C2211yescharacteristic, complemented
51C2×#10587567C2211yescharacteristic, complemented
52C2×#10587567C2211yescharacteristic, complemented
53C2×#10587563C2211yescharacteristic, complemented
54C2×#10587563C2211yescharacteristic, complemented
55C2×#10587563C2211yescharacteristic, complemented
56C2×#10587563C2211yescharacteristic, complemented
57C22×C22⋊Dic17C2211yescharacteristic
58C22×C22⋊Dic17C2211yescharacteristic
59C22×C22⋊Dic17C2211yescharacteristic, complemented
60C22×#63227C2211yescharacteristic, complemented
61#11762712C2211yescharacteristic, complemented
62#11762712C2211yescharacteristic, complemented
63#11762709C2211yescharacteristic
64#11762709C2211yescharacteristic
65#11762709C2211yescharacteristic
66#11762709C2211yescharacteristic
67#11762709C2211yescharacteristic, complemented
68#11762709C2211yescharacteristic, complemented
69#11762709C2211yescharacteristic, complemented
70#11762709C2211yescharacteristic, complemented
71#11762709C2211yescharacteristic, complemented
72#11762709C2211yescharacteristic, complemented
73#11762709C2211yescharacteristic, complemented
74#11762709C2211yescharacteristic, complemented
75#11762706C2211yescharacteristic, complemented
76#11762706C2211yescharacteristic, complemented
77#11762704C2211yescharacteristic, complemented
78#11762704C2211yescharacteristic, complemented
79#11762703C2211yescharacteristic, complemented
80#11762703C2211yescharacteristic, complemented
81#11762703C2211yescharacteristic, complemented
82#11762703C2211yescharacteristic, complemented
83#11762703C2211yescharacteristic, complemented
84#11762703C2211yescharacteristic, complemented
85#11762703C2211yescharacteristic, complemented
86#11762703C2211yescharacteristic, complemented
87#11762701C2211yescharacteristic, complemented
88#11762701C2211yescharacteristic, complemented
89#11762700C2211yescharacteristic, complemented
90#11762700C2211yescharacteristic, complemented
91#11762699C2211yescharacteristic, complemented
92#11762699C2211yescharacteristic, complemented
93#11762698C2211yescharacteristic, complemented
94#11762698C2211yescharacteristic, complemented
95#11762697C2211yescharacteristic, complemented
96#11762697C2211yescharacteristic, complemented
97#11762697C2211yescharacteristic, complemented
98#11762697C2211yescharacteristic, complemented
99#11762697C2211yescharacteristic, complemented
100#11762697C2211yescharacteristic, complemented
101#11762697C2211yescharacteristic, complemented
102#11762697C2211yescharacteristic, complemented
103#11762696C2211yescharacteristic, complemented
104#11762696C2211yescharacteristic, complemented
105#11762693C2211yescharacteristic, complemented
106#11762693C2211yescharacteristic, complemented
107#11762691C2211yescharacteristic, complemented
108#11762691C2211yescharacteristic, complemented
109#11762690C2211yescharacteristic, complemented
110#11762690C2211yescharacteristic, complemented
111#11762689C2211yescharacteristic
112#11762689C2211yescharacteristic
113#11762689C2211yescharacteristic, complemented
114#11762689C2211yescharacteristic, complemented
115#11762688C2211yescharacteristic, complemented
116#11762688C2211yescharacteristic, complemented
117#11762686C2211yescharacteristic, complemented
118#11762686C2211yescharacteristic, complemented
119#11762685C2211yescharacteristic
120#11762685C2211yescharacteristic
121#11762685C2211yescharacteristic
122#11762685C2211yescharacteristic
123#11762685C2211yescharacteristic, complemented
124#11762685C2211yescharacteristic, complemented
125#11762685C2211yescharacteristic, complemented
126#11762685C2211yescharacteristic, complemented
127#11762685C2211yescharacteristic, complemented
128#11762685C2211yescharacteristic, complemented
129#11762685C2211yescharacteristic, complemented
130#11762685C2211yescharacteristic, complemented
131#11762683C2211yescharacteristic, complemented
132#11762683C2211yescharacteristic, complemented
133#11762682C2211yescharacteristic, complemented
134#11762682C2211yescharacteristic, complemented
135#11762682C2211yescharacteristic, complemented
136#11762682C2211yescharacteristic, complemented
137#11762681C2211yescharacteristic, complemented
138#11762681C2211yescharacteristic, complemented
139#11762681C2211yescharacteristic, complemented
140#11762681C2211yescharacteristic, complemented
141#11762680C2211yescharacteristic, complemented
142#11762680C2211yescharacteristic, complemented
143#11762670C2211yescharacteristic, complemented
144#11762670C2211yescharacteristic, complemented
145#11762669C2211yescharacteristic, complemented
146#11762667C2211yescharacteristic, complemented
147#11762667C2211yescharacteristic, complemented
148#11762665C2211yescharacteristic
149#11762665C2211yescharacteristic, complemented
150#11762664C2211yescharacteristic, complemented
151#11762664C2211yescharacteristic, complemented
152C4×#63225C2211yescharacteristic, complemented
153C4×#63225C2211yescharacteristic, complemented
154#11762660C2211yescharacteristic, complemented
155#11762660C2211yescharacteristic, complemented
156C22⋊C4×Dic17C2211yescharacteristic, complemented
157C22⋊C4×Dic17C2211yescharacteristic, complemented
158C22⋊C4×Dic17C2211yescharacteristic, complemented
159C22⋊C4×Dic17C2211yescharacteristic, complemented
160C22⋊C4×Dic17C2211yescharacteristic, complemented
161C22⋊C4×Dic17C2211yescharacteristic, complemented
162C4×#63227C2211yescharacteristic, complemented
163C4×#63227C2211yescharacteristic, complemented
164C4×C22⋊Dic17C2211yescharacteristic, complemented
165C4×C22⋊Dic17C2211yescharacteristic, complemented
166C4×C22⋊Dic17C2211yescharacteristic, complemented
167C4×C22⋊Dic17C2211yescharacteristic, complemented
168C4×C22⋊Dic17C2211yescharacteristic, complemented
169#11762656C2211yescharacteristic, complemented
170#11762656C2211yescharacteristic, complemented
171C2×#10587502C2211yescharacteristic, complemented
172C2×#10587502C2211yescharacteristic, complemented
173C23×D4×C17C2211yescharacteristic
174C2×C4×D4×C17C2211yescharacteristic
175C2×C4×D4×C17C2211yescharacteristic
176C22×C22⋊C4×C17C2211yescharacteristic
177C22×C22⋊C4×C17C2211yescharacteristic, complemented
178C17×#390C2211yescharacteristic, complemented
179C17×#390C2211yescharacteristic, complemented
180C17×#386C2211yescharacteristic
181C17×#386C2211yescharacteristic
182C17×#386C2211yescharacteristic, complemented
183C17×#386C2211yescharacteristic, complemented
184C17×#380C2211yescharacteristic, complemented
185C17×#379C2211yescharacteristic
186C17×#379C2211yescharacteristic, complemented
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C25×C17C2311yescharacteristic
189C25×C17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C22×D4×C17—42no—
192C22×D4×C17—42no—
193C22×D4×C17C2×C418yescomplemented
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C23×C4×C17C2311yescharacteristic
203C22×C22⋊D17—42no—
204C22×C22⋊D17—42no—
205C22×C22⋊D17C2×C418yescomplemented
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C22×C22⋊D17C2311yescharacteristic
210C22×C22⋊D17C2311yescharacteristic
211C22×C22⋊D17C2311yescharacteristic
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C23×Dic17C2311yescharacteristic
216C23×Dic17C2311yescharacteristic
217C23×Dic17C2311yescharacteristic
218C23×Dic17C2311yescharacteristic
219C23×Dic17C2311yescharacteristic
220C23×Dic17C2311yescharacteristic
221C22×C4×D17—42no—
222C22×C4×D17—42no—
223C22×C4×D17—42no—
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C4×D4×C17—42no—
229C4×D4×C17—42no—
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17—42no—
233C2×C22⋊C4×C17—42no—
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×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×C22⋊C4×C17C2311yescharacteristic
250C2×C42×C17C2311yescharacteristic
251C2×C42×C17C2311yescharacteristic
252#10587639C2×C418yescomplemented
253#10587639C2×C418yescomplemented
254C2×C22⋊Dic17—42no—
255C2×C22⋊Dic17—42no—
256C2×C22⋊Dic17C2×C418yescomplemented
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
271C2×C22⋊Dic17C2311yescharacteristic
272C2×C22⋊Dic17C2311yescharacteristic
273C2×C22⋊Dic17C2311yescharacteristic
274C2×C22⋊Dic17C2311yescharacteristic
275C2×C22⋊Dic17C2311yescharacteristic
276C2×C22⋊Dic17C2311yescharacteristic
277C2×C22⋊Dic17C2311yescharacteristic
278C2×C22⋊Dic17C2311yescharacteristic
279C2×C22⋊Dic17C2311yescharacteristic
280C2×C22⋊Dic17C2311yescharacteristic
281#10587625C2×C418yescomplemented
282#10587625C2×C418yescomplemented
283#10587625C2×C418yescomplemented
284#10587625C2×C418yescomplemented
285#10587623C2×C418yescomplemented
286#10587623C2×C418yescomplemented
287#10587621C2×C418yescomplemented
288#10587621C2×C418yescomplemented
289D4×Dic17—42no—
290D4×Dic17—42no—
291#10587615C2×C418yescomplemented
292#10587615C2×C418yescomplemented
293C4×C22⋊D17—42no—
294C4×C22⋊D17—42no—
295C2×#63227—42no—
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×#63227C2311yescharacteristic
310C2×#63227C2311yescharacteristic
311C2×#63227C2311yescharacteristic
312C2×C4⋊Dic17C2311yescharacteristic
313C2×C4⋊Dic17C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
317C2×#63225C2311yescharacteristic
318C2×#63225C2311yescharacteristic
319C2×#63225C2311yescharacteristic
320C2×#63225C2311yescharacteristic
321C2×#63225C2311yescharacteristic
322C2×#63225C2311yescharacteristic
323C2×#63225C2311yescharacteristic
324C2×#63225C2311yescharacteristic
325C2×#63225C2311yescharacteristic
326C2×#63225C2311yescharacteristic
327C2×#63225C2311yescharacteristic
328C2×#63225C2311yescharacteristic
329C2×#63225C2311yescharacteristic
330C2×C4×Dic17C2311yescharacteristic
331C2×C4×Dic17C2311yescharacteristic
332C2×C4×Dic17C2311yescharacteristic
333C2×C4×Dic17C2311yescharacteristic
334C2×C4×Dic17C2311yescharacteristic
335C2×C4×Dic17C2311yescharacteristic
336C2×C4×Dic17C2311yescharacteristic
337C2×C4×Dic17C2311yescharacteristic
338C2×C4×Dic17C2311yescharacteristic
339C2×C4×Dic17C2311yescharacteristic
340C2×C4×Dic17C2311yescharacteristic
341C2×C4×Dic17C2311yescharacteristic
342C2×C4×Dic17C2311yescharacteristic
343C2×C4×Dic17C2311yescharacteristic
344#10587567—42no—
345#10587567—42no—
346#10587563—42no—
347#10587563—42no—
348#10587563—42no—
349#10587563—42no—
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
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
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—22no—
383C24×C17—22no—
384C24×C17—41no—
385C24×C17—41no—
386C24×C17—41no—
387C24×C17—41no—
388C24×C17—41no—
389C24×C17—41no—
390C24×C17—41no—
391C24×C17—41no—
392C24×C17—41no—
393C24×C17—41no—
394C24×C17C22×C414yes—
395C24×C17C22×C414yescomplemented
396C24×C17C2411yescharacteristic
397C24×C17C2411yescharacteristic
398C24×C17C2411yescharacteristic
399C24×C17C2411yescharacteristic
400C24×C17C2411yescharacteristic
401C23×D17—22no—
402C23×D17—22no—
403C23×D17—41no—
404C23×D17—41no—
405C23×D17—41no—
406C23×D17—41no—
407C23×D17C22×C414yes—
408C23×D17C2411yescharacteristic
409C23×D17C2411yescharacteristic
410C2×D4×C17—22no—
411C2×D4×C17—22no—
412C2×D4×C17—22no—
413C2×D4×C17—22no—
414C2×D4×C17—41no—
415C2×D4×C17—41no—
416C2×D4×C17—41no—
417C2×D4×C17—41no—
418C2×D4×C17—416no—
419C2×D4×C17C22×C414yes—
420C2×D4×C17C22×C414yes—
421C2×D4×C17C22×C414yescomplemented
422C2×D4×C17C22×C414yescomplemented
423C22×C4×C17—22no—
424C22×C4×C17—22no—
425C22×C4×C17—22no—
426C22×C4×C17—22no—
427C22×C4×C17—41no—
428C22×C4×C17—41no—
429C22×C4×C17—41no—
430C22×C4×C17—41no—
431C22×C4×C17—41no—
432C22×C4×C17—41no—
433C22×C4×C17—41no—
434C22×C4×C17—41no—
435C22×C4×C17—41no—
436C22×C4×C17—41no—
437C22×C4×C17C22×C414yescomplemented
438C22×C4×C17C2411yescharacteristic
439C22×C4×C17C2411yescharacteristic
440C22×C4×C17C2411yescharacteristic
441C22×C4×C17C2411yescharacteristic
442C22×C4×C17C2411yescharacteristic
443C22×C4×C17C2411yescharacteristic
444C22×C4×C17C2411yescharacteristic
445C22×C4×C17C2411yescharacteristic
446C22×C4×C17C2411yescharacteristic
447C22×C4×C17C2411yescharacteristic
448C2×C22⋊D17—416no—
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⋊D17—41no—
460C2×C22⋊D17—41no—
461C2×C22⋊D17—41no—
462C2×C22⋊D17—41no—
463C2×C22⋊D17—41no—
464C2×C22⋊D17—41no—
465C2×C22⋊D17C22×C414yes—
466C2×C22⋊D17C22×C414yes—
467C2×C22⋊D17C22×C414yes—
468C2×C22⋊D17C22×C414yes—
469C2×C22⋊D17C22×C414yes—
470C2×C22⋊D17C22×C414yes—
471C2×C22⋊D17C22×C414yes—
472C2×C22⋊D17C22×C414yes—
473C22×Dic17—22no—
474C22×Dic17—22no—
475C22×Dic17—22no—
476C22×Dic17—22no—
477C22×Dic17—22no—
478C22×Dic17—22no—
479C22×Dic17—41no—
480C22×Dic17—41no—
481C22×Dic17—41no—
482C22×Dic17—41no—
483C22×Dic17—41no—
484C22×Dic17—41no—
485C22×Dic17—41no—
486C22×Dic17—41no—
487C22×Dic17—41no—
488C22×Dic17—41no—
489C22×Dic17—41no—
490C22×Dic17—41no—
491C22×Dic17C22×C414yes—
492C22×Dic17C22×C414yescomplemented
493C22×Dic17C22×C414yescomplemented
494C22×Dic17C2411yescharacteristic
495C22×Dic17C2411yescharacteristic
496C22×Dic17C2411yescharacteristic
497C22×Dic17C2411yescharacteristic
498C22×Dic17C2411yescharacteristic
499C22×Dic17C2411yescharacteristic
500C22×Dic17C2411yescharacteristic
501C22×Dic17C2411yescharacteristic
502C22×Dic17C2411yescharacteristic
503C22×Dic17C2411yescharacteristic
504C22×Dic17C2411yescharacteristic
505C22×Dic17C2411yescharacteristic
506C22×Dic17C2411yescharacteristic
507C22×Dic17C2411yescharacteristic
508C2×C4×D17—22no—
509C2×C4×D17—22no—
510C2×C4×D17—22no—
511C2×C4×D17—22no—
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×D17—41no—
519C2×C4×D17—41no—
520C2×C4×D17—416no—
521C4⋊C4×C17—41no—
522C4⋊C4×C17—41no—
523C22⋊C4×C17—22no—
524C22⋊C4×C17—22no—
525C22⋊C4×C17—22no—
526C22⋊C4×C17—22no—
527C22⋊C4×C17—22no—
528C22⋊C4×C17—41no—
529C22⋊C4×C17—41no—
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×C17—41no—
537C22⋊C4×C17—41no—
538C22⋊C4×C17—41no—
539C42×C17—41no—
540C42×C17—41no—
541C22⋊Dic17—22no—
542C22⋊Dic17—22no—
543C22⋊Dic17—22no—
544C22⋊Dic17—22no—
545C22⋊Dic17—22no—
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×C414yescomplemented
560C22⋊Dic17C22×C414yescomplemented
561C22⋊Dic17C22×C414yescomplemented
562C22⋊Dic17C22×C414yescomplemented
563C22⋊Dic17C22×C414yescomplemented
564C22⋊Dic17C22×C414yescomplemented
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#63227C22×C414yes—
578#63227C22×C414yes—
579#63227C22×C414yes—
580#63227C22×C414yes—
581C4⋊Dic17—41no—
582C4⋊Dic17—41no—
583#63225—22no—
584#63225—22no—
585#63225—41no—
586#63225—41no—
587#63225—41no—
588#63225—41no—
589#63225—41no—
590#63225—41no—
591#63225—41no—
592#63225—41no—
593#63225—41no—
594#63225—41no—
595#63225C22×C414yescomplemented
596#63225C22×C414yescomplemented
597#63225C22×C414yescomplemented
598#63225C22×C414yescomplemented
599C4×Dic17—22no—
600C4×Dic17—22no—
601C4×Dic17—41no—
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×Dic17—41no—
611C4×Dic17—41no—
612C4×Dic17—41no—
613#34407—171nomaximal, Sylow
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—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17—21no—
642C23×C17—28no—
643C23×C17—44no—
644C23×C17—44no—
645C23×C17—44no—
646C23×C17—44no—
647C23×C17—44no—
648C23×C17—82no—
649C23×C17—82no—
650C23×C17—82no—
651C23×C17—82no—
652C23×C17—82no—
653C23×C17—82no—
654C23×C17—82no—
655C23×C17—82no—
656C23×C17C23×C412yes—
657C23×C17C23×C412yes—
658C23×C17C23×C412yes—
659C23×C17C23×C412yes—
660C23×C17C23×C412yes—
661C23×C17H(5,𝔽2)12yes—
662C23×C17H(5,𝔽2)12yes—
663C23×C17C2511yescharacteristic
664C22×D17—28no—
665C22×D17—21no—
666C22×D17—21no—
667C22×D17—21no—
668C22×D17—21no—
669C22×D17—21no—
670C22×D17—21no—
671C22×D17—21no—
672C22×D17—21no—
673C22×D17—21no—
674C22×D17—21no—
675C22×D17—21no—
676C22×D17—21no—
677C22×D17—44no—
678C22×D17—44no—
679C22×D17—44no—
680C22×D17—44no—
681C22×D17—44no—
682C22×D17—44no—
683C22×D17C23×C412yes—
684C22×D17C23×C412yes—
685D4×C17—28no—
686D4×C17—28no—
687D4×C17—44no—
688D4×C17—44no—
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—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—44no—
717C2×C4×C17—44no—
718C2×C4×C17—82no—
719C2×C4×C17—82no—
720C2×C4×C17—82no—
721C2×C4×C17C23×C412yes—
722C2×C4×C17C23×C412yes—
723C2×C4×C17H(5,𝔽2)12yes—
724C22⋊D17—44no—
725C22⋊D17—44no—
726C22⋊D17—44no—
727C22⋊D17—44no—
728C22⋊D17—44no—
729C22⋊D17—44no—
730C22⋊D17—44no—
731C22⋊D17—44no—
732C2×Dic17—28no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
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—21no—
762C2×Dic17—21no—
763C2×Dic17—21no—
764C2×Dic17—21no—
765C2×Dic17—21no—
766C2×Dic17—21no—
767C2×Dic17—21no—
768C2×Dic17—44no—
769C2×Dic17—44no—
770C2×Dic17—44no—
771C2×Dic17—82no—
772C2×Dic17—82no—
773C2×Dic17—82no—
774C2×Dic17C23×C412yes—
775C2×Dic17C23×C412yes—
776C2×Dic17C23×C412yes—
777C2×Dic17C23×C412yes—
778C2×Dic17C23×C412yes—
779C2×Dic17C23×C412yes—
780C2×Dic17H(5,𝔽2)12yes—
781C4×D17—44no—
782C4×D17—44no—
783C4×D17—44no—
784C4×D17—44no—
785C2×#534—171no—
786#2377—171no—
787#2377—171no—
788#2376—171no—
789#2375—171no—
790#2374—171no—
791#2363—171no—
792#2363—171no—
793#2359—171no—
794#2359—171no—
795#2359—171no—
796#2359—171no—
797#2358—171no—
798#2342—171no—
799#2342—171no—
800D4×C22⋊C4—171no—
801D4×C22⋊C4D1711yescharacteristic, complemented
802#2335—171no—
803#2335—171no—
804#2333—171no—
805#2333—171no—
806#2324—171no—
807#2324—171no—
808#2321—171no—
809#2321—171no—
810#2321—171no—
811#2321—171no—
812#2309—171no—
813C4×#120—171no—
814C4×#120—171no—
815C2×#386—171no—
816C22×C17—22no—
817C22×C17—22no—
818C22×C17—22no—
819C22×C17—22no—
820C22×C17—22no—
821C22×C17—22no—
822C22×C17—22no—
823C22×C17—22no—
824C22×C17—22no—
825C22×C17—22no—
826C22×C17—22no—
827C22×C17—22no—
828C22×C17—22no—
829C22×C17—22no—
830C22×C17—22no—
831C22×C17—22no—
832C22×C17—22no—
833C22×C17—22no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17—41no—
840C22×C17—41no—
841C22×C17—41no—
842C22×C17—41no—
843C22×C17—41no—
844C22×C17—41no—
845C22×C17—41no—
846C22×C17—41no—
847C22×C17—41no—
848C22×C17—41no—
849C22×C17—41no—
850C22×C17—88no—
851C22×C17—88no—
852C22×C17#51814yes—
853C22×C17C24×C411yescharacteristic
854C22×C17C2×H(5,𝔽2)11yescharacteristic
855C22×C17C2×H(5,𝔽2)11yescharacteristic
856C22×C17C2×H(5,𝔽2)11yescharacteristic
857C22×C17C2×H(5,𝔽2)11yescharacteristic
858C22×C17#58511yescharacteristic
859C22×C17#58511yescharacteristic
860C2×D17—22no—
861C2×D17—22no—
862C2×D17—22no—
863C2×D17—22no—
864C2×D17—22no—
865C2×D17—22no—
866C2×D17—416no—
867C2×D17—41no—
868C2×D17—41no—
869C2×D17—41no—
870C2×D17—41no—
871C2×D17—41no—
872C2×D17—41no—
873C2×D17—41no—
874C2×D17—41no—
875C4×C17—22no—
876C4×C17—22no—
877C4×C17—22no—
878C4×C17—41no—
879C4×C17—41no—
880C4×C17—41no—
881C4×C17—41no—
882C4×C17—41no—
883C4×C17—41no—
884C4×C17—41no—
885Dic17—22no—
886Dic17—22no—
887Dic17—22no—
888Dic17—22no—
889Dic17—22no—
890Dic17—22no—
891Dic17—22no—
892Dic17—41no—
893Dic17—41no—
894Dic17—41no—
895Dic17—41no—
896Dic17—41no—
897Dic17—41no—
898Dic17—41no—
899C23×D4—171no—
900C23×D4C2×D1711yescharacteristic
901C24×C4—171no—
902#534—1716no—
903C2×#123—171no—
904C2×#123—171no—
905C2×#123—171no—
906C2×#123—171no—
907C2×#121—171no—
908C2×#121—171no—
909C2×#121—171no—
910C2×#121—171no—
911C2×#120—171no—
912C2×#120—171no—
913C2×#120—171no—
914C2×#120—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×D4C2×D1711yescharacteristic
922C2×C4×D4C2×D1711yescharacteristic
923C2×#117—171no—
924C2×#117—171no—
925C2×#117—171no—
926C2×#117—171no—
927C22×C22⋊C4—171no—
928C22×C22⋊C4—171no—
929C22×C22⋊C4—171no—
930C22×C22⋊C4—171no—
931C22×C22⋊C4C2×D1711yescharacteristic
932C22×C22⋊C4C2×D1711yescharacteristic, complemented
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#390C2×D1711yescharacteristic, complemented
948#390C2×D1711yescharacteristic, complemented
949#389—171no—
950#389—171no—
951#389—171no—
952#389—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#388—171no—
972#388—171no—
973#388—171no—
974#388—171no—
975#388—171no—
976#388—171no—
977#387—171no—
978#387—171no—
979#387—171no—
980#387—171no—
981#387—171no—
982#387—171no—
983#387—171no—
984#387—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#386C2×D1711yescharacteristic
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#385—171no—
1016#385—171no—
1017#385—171no—
1018#385—171no—
1019#385—171no—
1020#385—171no—
1021#381—171no—
1022#381—171no—
1023#380—171no—
1024#380—171no—
1025#380—171no—
1026#380C2×D1711yescharacteristic, complemented
1027#379—171no—
1028#379—171no—
1029#379—171no—
1030#379—171no—
1031#379C2×D1711yescharacteristic
1032#379C2×D1711yescharacteristic, complemented
1033C4×C4⋊C4—171no—
1034C4×C4⋊C4—171no—
1035C4×C4⋊C4—171no—
1036C4×C4⋊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⋊C4—171no—
1044C4×C22⋊C4—171no—
1045C4×C22⋊C4—171no—
1046C4×C22⋊C4—171no—
1047C4×C22⋊C4—171no—
1048C4×C22⋊C4—171no—
1049C4×C22⋊C4—171no—
1050C4×C22⋊C4—171no—
1051C4×C22⋊C4—171no—
1052C4×C22⋊C4C2×D1711yescharacteristic, complemented
1053C2×#95—171no—
1054C2×#95—171no—
1055C2×C17—24no—
1056C2×C17—42no—
1057C2×C17—42no—
1058C2×C17—42no—
1059C2×C17—42no—
1060C2×C17C2×#51811yescharacteristic
1061C2×C17C4×H(5,𝔽2)11yescharacteristic
1062C2×C17C4×H(5,𝔽2)11yescharacteristic
1063C2×C17#353211yescharacteristic
1064C2×C17#353311yescharacteristic
1065C2×C17#354211yescharacteristic
1066C2×C17#354211yescharacteristic
1067D17—42no—
1068D17—42no—
1069C25—171no—
1070C25C22×D1711yescharacteristic
1071C25C22×D1711yescharacteristic
1072C22×D4—42no—
1073C22×D4—42no—
1074C22×D4—178no—
1075C22×D4—171no—
1076C22×D4—171no—
1077C22×D4—171no—
1078C22×D4—171no—
1079C22×D4—171no—
1080C22×D4—171no—
1081C22×D4—171no—
1082C22×D4—171no—
1083C22×D4—682no—
1084C22×D4—682no—
1085C22×D4C4×D1718yescomplemented
1086C22×D4C22×D1711yescharacteristic
1087C22×D4C22×D1711yescharacteristic
1088C22×D4C22×D1711yescharacteristic
1089C22×D4C22×D1711yescharacteristic
1090C23×C4—171no—
1091C23×C4—171no—
1092C23×C4—171no—
1093C23×C4—171no—
1094C23×C4—171no—
1095C23×C4—171no—
1096C23×C4—171no—
1097C23×C4—171no—
1098C23×C4—171no—
1099C23×C4—171no—
1100C23×C4—171no—
1101C23×C4—682no—
1102C23×C4—682no—
1103C23×C4—682no—
1104C23×C4C22×D1711yescharacteristic
1105C23×C4C22×D1711yescharacteristic
1106C23×C4C22×D1711yescharacteristic
1107C23×C4C22×D1711yescharacteristic
1108C23×C4C22×D1711yescharacteristic
1109#123—178no—
1110#123—178no—
1111#123—178no—
1112#123—178no—
1113#121—178no—
1114#121—178no—
1115#121—178no—
1116#121—178no—
1117#120—178no—
1118#120—178no—
1119#120—178no—
1120#120—178no—
1121C4×D4—42no—
1122C4×D4—42no—
1123C4×D4—682no—
1124C4×D4—682no—
1125C4×D4—682no—
1126C4×D4—682no—
1127C4×D4—682no—
1128C4×D4—682no—
1129#117—682no—
1130#117—682no—
1131#117—682no—
1132#117—682no—
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⋊C4—171no—
1147C2×C4⋊C4—171no—
1148C2×C4⋊C4—171no—
1149C2×C4⋊C4—171no—
1150C2×C4⋊C4—171no—
1151C2×C4⋊C4C22×D1711yescharacteristic
1152C2×C4⋊C4C22×D1711yescharacteristic
1153C2×C22⋊C4—42no—
1154C2×C22⋊C4—42no—
1155C2×C22⋊C4—178no—
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—171no—
1192C2×C22⋊C4—171no—
1193C2×C22⋊C4—171no—
1194C2×C22⋊C4—171no—
1195C2×C22⋊C4—171no—
1196C2×C22⋊C4—682no—
1197C2×C22⋊C4—682no—
1198C2×C22⋊C4—682no—
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×C22⋊C4C22×D1711yescharacteristic
1208C2×C22⋊C4C22×D1711yescharacteristic
1209C2×C22⋊C4C22×D1711yescharacteristic
1210C2×C22⋊C4C22×D1711yescharacteristic
1211C2×C22⋊C4C22×D1711yescharacteristic
1212C2×C22⋊C4C22×D1711yescharacteristic
1213C2×C22⋊C4C22×D1711yescharacteristic
1214C2×C22⋊C4C22×D1711yescharacteristic
1215C2×C42—171no—
1216C2×C42—171no—
1217C2×C42—171no—
1218C2×C42—171no—
1219C2×C42—171no—
1220C2×C42—171no—
1221C2×C42—171no—
1222C2×C42—171no—
1223C2×C42—171no—
1224C2×C42—171no—
1225C2×C42—171no—
1226C2×C42—171no—
1227C2×C42—171no—
1228C2×C42—171no—
1229C2×C42C22×D1711yescharacteristic
1230C2×C42C22×D1711yescharacteristic
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#95—171no—
1252#95—171no—
1253#95—171no—
1254#95—171no—
1255#95—171no—
1256#95—171no—
1257#95—171no—
1258#95—171no—
1259#95C22×D1711yescharacteristic
1260#95C22×D1711yescharacteristic
1261#95C22×D1711yescharacteristic
1262#95C22×D1711yescharacteristic
1263C17#3440711yescharacteristic, complemented, Sylow
1264C24—22no—
1265C24—22no—
1266C24—41no—
1267C24—41no—
1268C24—41no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—171no—
1277C24—171no—
1278C24—174no—
1279C24—342no—
1280C24—342no—
1281C24—681no—
1282C24—681no—
1283C24—681no—
1284C24—681no—
1285C24C2×C4×D1714yes—
1286C24C2×C4×D1714yescomplemented
1287C24C23×D1711yescharacteristic
1288C24C23×D1711yescharacteristic
1289C24C23×D1711yescharacteristic
1290C24C23×D1711yescharacteristic
1291C24C23×D1711yescharacteristic
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—416no—
1301C2×D4—174no—
1302C2×D4—174no—
1303C2×D4—174no—
1304C2×D4—174no—
1305C2×D4—174no—
1306C2×D4—174no—
1307C2×D4—174no—
1308C2×D4—174no—
1309C2×D4—681no—
1310C2×D4—681no—
1311C2×D4—681no—
1312C2×D4—681no—
1313C2×D4—681no—
1314C2×D4—681no—
1315C2×D4—681no—
1316C2×D4—681no—
1317C2×D4—6816no—
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×D1714yescomplemented
1329C2×D4C2×C4×D1714yescomplemented
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
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—174no—
1345C22×C4—171no—
1346C22×C4—171no—
1347C22×C4—171no—
1348C22×C4—171no—
1349C22×C4—171no—
1350C22×C4—171no—
1351C22×C4—171no—
1352C22×C4—174no—
1353C22×C4—174no—
1354C22×C4—171no—
1355C22×C4—171no—
1356C22×C4—171no—
1357C22×C4—171no—
1358C22×C4—171no—
1359C22×C4—171no—
1360C22×C4—171no—
1361C22×C4—342no—
1362C22×C4—342no—
1363C22×C4—342no—
1364C22×C4—342no—
1365C22×C4—342no—
1366C22×C4—342no—
1367C22×C4—342no—
1368C22×C4—342no—
1369C22×C4—342no—
1370C22×C4—342no—
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—6816no—
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×C4C2×C4×D1714yescomplemented
1393C22×C4C23×D1711yescharacteristic
1394C22×C4C23×D1711yescharacteristic
1395C22×C4C23×D1711yescharacteristic
1396C22×C4C23×D1711yescharacteristic
1397C22×C4C23×D1711yescharacteristic
1398C22×C4C23×D1711yescharacteristic
1399C22×C4C23×D1711yescharacteristic
1400C22×C4C23×D1711yescharacteristic
1401C22×C4C23×D1711yescharacteristic
1402C22×C4C23×D1711yescharacteristic
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—174no—
1406C4⋊C4—174no—
1407C4⋊C4—174no—
1408C4⋊C4—174no—
1409C4⋊C4—342no—
1410C4⋊C4—342no—
1411C4⋊C4—681no—
1412C4⋊C4—681no—
1413C4⋊C4—681no—
1414C4⋊C4—681no—
1415C4⋊C4—681no—
1416C4⋊C4—681no—
1417C4⋊C4—681no—
1418C4⋊C4—681no—
1419C4⋊C4—681no—
1420C4⋊C4—681no—
1421C4⋊C4—681no—
1422C4⋊C4—681no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—174no—
1440C22⋊C4—174no—
1441C22⋊C4—174no—
1442C22⋊C4—174no—
1443C22⋊C4—174no—
1444C22⋊C4—174no—
1445C22⋊C4—174no—
1446C22⋊C4—174no—
1447C22⋊C4—174no—
1448C22⋊C4—174no—
1449C22⋊C4—174no—
1450C22⋊C4—174no—
1451C22⋊C4—342no—
1452C22⋊C4—342no—
1453C22⋊C4—342no—
1454C22⋊C4—342no—
1455C22⋊C4—342no—
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⋊C4—681no—
1468C22⋊C4—681no—
1469C22⋊C4—681no—
1470C22⋊C4—681no—
1471C22⋊C4—681no—
1472C22⋊C4—681no—
1473C22⋊C4—681no—
1474C22⋊C4—681no—
1475C22⋊C4—681no—
1476C22⋊C4—681no—
1477C22⋊C4—681no—
1478C22⋊C4—681no—
1479C42—41no—
1480C42—41no—
1481C42—342no—
1482C42—342no—
1483C42—681no—
1484C42—681no—
1485C42—681no—
1486C42—681no—
1487C42—681no—
1488C42—681no—
1489C42—681no—
1490C42—681no—
1491C42—681no—
1492C42—681no—
1493C42—681no—
1494C42—681no—
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—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—28no—
1524C23—44no—
1525C23—44no—
1526C23—44no—
1527C23—44no—
1528C23—44no—
1529C23—82no—
1530C23—82no—
1531C23—82no—
1532C23—82no—
1533C23—82no—
1534C23—82no—
1535C23—82no—
1536C23—82no—
1537C23—172no—
1538C23—172no—
1539C23—348no—
1540C23—341no—
1541C23—341no—
1542C23—341no—
1543C23—341no—
1544C23—341no—
1545C23—341no—
1546C23—341no—
1547C23—341no—
1548C23—341no—
1549C23—341no—
1550C23—341no—
1551C23—341no—
1552C23—684no—
1553C23—684no—
1554C23—684no—
1555C23—684no—
1556C23—684no—
1557C23—684no—
1558C23C22×C4×D1712yes—
1559C23C22×C4×D1712yes—
1560C23C22×C4×D1712yes—
1561C23C22×C4×D1712yes—
1562C23C22×C4×D1712yes—
1563C23#1058769112yes—
1564C23#1058769112yes—
1565C23C24×D1711yescharacteristic
1566D4—28no—
1567D4—28no—
1568D4—44no—
1569D4—44no—
1570D4—684no—
1571D4—684no—
1572D4—684no—
1573D4—684no—
1574D4—684no—
1575D4—684no—
1576D4—684no—
1577D4—684no—
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—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—82no—
1608C2×C4—82no—
1609C2×C4—82no—
1610C2×C4—172no—
1611C2×C4—172no—
1612C2×C4—172no—
1613C2×C4—172no—
1614C2×C4—172no—
1615C2×C4—172no—
1616C2×C4—172no—
1617C2×C4—348no—
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—341no—
1642C2×C4—341no—
1643C2×C4—341no—
1644C2×C4—341no—
1645C2×C4—341no—
1646C2×C4—341no—
1647C2×C4—341no—
1648C2×C4—341no—
1649C2×C4—341no—
1650C2×C4—341no—
1651C2×C4—341no—
1652C2×C4—341no—
1653C2×C4—684no—
1654C2×C4—684no—
1655C2×C4—684no—
1656C2×C4—684no—
1657C2×C4—684no—
1658C2×C4—684no—
1659C2×C4—684no—
1660C2×C4—1362no—
1661C2×C4—1362no—
1662C2×C4—1362no—
1663C2×C4C22×C4×D1712yes—
1664C2×C4C22×C4×D1712yes—
1665C2×C4#1058769112yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—88no—
1701C22—88no—
1702C22—342no—
1703C22—342no—
1704C22—342no—
1705C22—342no—
1706C22—342no—
1707C22—342no—
1708C22—6816no—
1709C22—681no—
1710C22—681no—
1711C22—681no—
1712C22—681no—
1713C22—681no—
1714C22—681no—
1715C22—681no—
1716C22—681no—
1717C22#1176328214yes—
1718C22C23×C4×D1711yescharacteristic
1719C22H(5,𝔽2)×D1711yescharacteristic
1720C22C2×#1058769111yescharacteristic
1721C22C2×#1058769111yescharacteristic
1722C22C2×#1058769111yescharacteristic
1723C22#1176364411yescharacteristic
1724C22#1176364511yescharacteristic
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—342no—
1736C4—342no—
1737C4—342no—
1738C4—342no—
1739C4—342no—
1740C4—342no—
1741C4—342no—
1742C4—681no—
1743C4—681no—
1744C4—681no—
1745C4—681no—
1746C4—681no—
1747C4—681no—
1748C4—681no—
1749C2—24no—
1750C2—42no—
1751C2—42no—
1752C2—42no—
1753C2—42no—
1754C2—682no—
1755C2—682no—
1756C2C2×#1176328211yescharacteristic
1757C2#1454198811yescharacteristic
1758C2C4×#1058769111yescharacteristic
1759C2#1454293411yescharacteristic
1760C2#1454294311yescharacteristic
1761C2#1454308511yescharacteristic
1762C2#1454310511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingD4×C22⋊C4×C17C2
socle, cosocleC23×C17C25
prime radicalC2×#11763368C2
hypercenterD4×C22⋊C4D17
hypocenterC17#34407
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ D4×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. #14531942C2semidirect
3. #14531935C2semidirect
4. #14531928C2semidirect
5. #14531923C2semidirect
6. #14531915C2semidirect
7. #14531825C2semidirect
8. #14531819C2semidirect
9. #14531782C2semidirect
10. #14531782C2semidirect
11. #14531770C2semidirect
12. #14531770C2semidirect
13. #14531763C2semidirect
14. #14531635C2semidirect
15. #14531629C2semidirect
16. D4×C22⋊Dic17C2semidirect
17. #14531574C2semidirect
18. #14531570C2semidirect
19. #14531550C2semidirect
20. #14531543C2semidirect
21. #14531474C2semidirect
22. #14531470C2semidirect
23. #14531447C2semidirect
24. #14531442C2semidirect
25. #14531439C2semidirect
26. #14531438C2semidirect
27. #14531365C2semidirect
28. #14531289C2semidirect
29. C4×#10587623C2semidirect
30. C2×#11762685C2semidirect
31. D4×C22⋊C4×C17C2semidirect
33. C23×C4×D17C22semidirect
34. #11763368C4semidirect
49. C2×C4×C22⋊D17C22semidirect
50. C2×C4×C22⋊D17C22semidirect
51. C2×#10587567C22semidirect
52. C2×#10587567C22semidirect
53. C2×#10587563C22semidirect
54. C2×#10587563C22semidirect
55. C2×#10587563C22semidirect
56. C2×#10587563C22semidirect
59. C22×C22⋊Dic17C22semidirect
60. C22×#63227C22semidirect
61. #11762712C22semidirect
62. #11762712C22semidirect
67. #11762709C22semidirect
68. #11762709C22semidirect
69. #11762709C22semidirect
70. #11762709C22semidirect
71. #11762709C22semidirect
72. #11762709C22semidirect
73. #11762709C22semidirect
74. #11762709C22semidirect
75. #11762706C22semidirect
76. #11762706C22semidirect
77. #11762704C22semidirect
78. #11762704C22semidirect
79. #11762703C22semidirect
80. #11762703C22semidirect
81. #11762703C22semidirect
82. #11762703C22semidirect
83. #11762703C22semidirect
84. #11762703C22semidirect
85. #11762703C22semidirect
86. #11762703C22semidirect
87. #11762701C22semidirect
88. #11762701C22semidirect
89. #11762700C22semidirect
90. #11762700C22semidirect
91. #11762699C22semidirect
92. #11762699C22semidirect
93. #11762698C22semidirect
94. #11762698C22semidirect
95. #11762697C22semidirect
96. #11762697C22semidirect
97. #11762697C22semidirect
98. #11762697C22semidirect
99. #11762697C22semidirect
100. #11762697C22semidirect
101. #11762697C22semidirect
102. #11762697C22semidirect
103. #11762696C22semidirect
104. #11762696C22semidirect
105. #11762693C22semidirect
106. #11762693C22semidirect
107. #11762691C22semidirect
108. #11762691C22semidirect
109. #11762690C22semidirect
110. #11762690C22semidirect
113. #11762689C22semidirect
114. #11762689C22semidirect
115. #11762688C22semidirect
116. #11762688C22semidirect
117. #11762686C22semidirect
118. #11762686C22semidirect
123. #11762685C22semidirect
124. #11762685C22semidirect
125. #11762685C22semidirect
126. #11762685C22semidirect
127. #11762685C22semidirect
128. #11762685C22semidirect
129. #11762685C22semidirect
130. #11762685C22semidirect
131. #11762683C22semidirect
132. #11762683C22semidirect
133. #11762682C22semidirect
134. #11762682C22semidirect
135. #11762682C22semidirect
136. #11762682C22semidirect
137. #11762681C22semidirect
138. #11762681C22semidirect
139. #11762681C22semidirect
140. #11762681C22semidirect
141. #11762680C22semidirect
142. #11762680C22semidirect
143. #11762670C22semidirect
144. #11762670C22semidirect
145. #11762669C22semidirect
146. #11762667C22semidirect
147. #11762667C22semidirect
149. #11762665C22semidirect
150. #11762664C22semidirect
151. #11762664C22semidirect
152. C4×#63225C22semidirect
153. C4×#63225C22semidirect
154. #11762660C22semidirect
155. #11762660C22semidirect
156. C22⋊C4×Dic17C22semidirect
157. C22⋊C4×Dic17C22semidirect
158. C22⋊C4×Dic17C22semidirect
159. C22⋊C4×Dic17C22semidirect
160. C22⋊C4×Dic17C22semidirect
161. C22⋊C4×Dic17C22semidirect
162. C4×#63227C22semidirect
163. C4×#63227C22semidirect
164. C4×C22⋊Dic17C22semidirect
165. C4×C22⋊Dic17C22semidirect
166. C4×C22⋊Dic17C22semidirect
167. C4×C22⋊Dic17C22semidirect
168. C4×C22⋊Dic17C22semidirect
169. #11762656C22semidirect
170. #11762656C22semidirect
171. C2×#10587502C22semidirect
172. C2×#10587502C22semidirect
177. C22×C22⋊C4×C17C22semidirect
178. C17×#390C22semidirect
179. C17×#390C22semidirect
182. C17×#386C22semidirect
183. C17×#386C22semidirect
184. C17×#380C22semidirect
186. C17×#379C22semidirect
187. C4×C22⋊C4×C17C22semidirect
193. C22×D4×C17C2×C4semidirect
205. C22×C22⋊D17C2×C4semidirect
252. #10587639C2×C4semidirect
253. #10587639C2×C4semidirect
256. C2×C22⋊Dic17C2×C4semidirect
281. #10587625C2×C4semidirect
282. #10587625C2×C4semidirect
283. #10587625C2×C4semidirect
284. #10587625C2×C4semidirect
285. #10587623C2×C4semidirect
286. #10587623C2×C4semidirect
287. #10587621C2×C4semidirect
288. #10587621C2×C4semidirect
291. #10587615C2×C4semidirect
292. #10587615C2×C4semidirect
395. C24×C17C22×C4semidirect
421. C2×D4×C17C22×C4semidirect
422. C2×D4×C17C22×C4semidirect
437. C22×C4×C17C22×C4semidirect
492. C22×Dic17C22×C4semidirect
493. C22×Dic17C22×C4semidirect
559. C22⋊Dic17C22×C4semidirect
560. C22⋊Dic17C22×C4semidirect
561. C22⋊Dic17C22×C4semidirect
562. C22⋊Dic17C22×C4semidirect
563. C22⋊Dic17C22×C4semidirect
564. C22⋊Dic17C22×C4semidirect
595. #63225C22×C4semidirect
596. #63225C22×C4semidirect
597. #63225C22×C4semidirect
598. #63225C22×C4semidirect
801. D4×C22⋊C4D17semidirect
932. C22×C22⋊C4C2×D17semidirect
947. #390C2×D17semidirect
948. #390C2×D17semidirect
1007. #386C2×D17semidirect
1008. #386C2×D17semidirect
1026. #380C2×D17semidirect
1032. #379C2×D17semidirect
1052. C4×C22⋊C4C2×D17semidirect
1085. C22×D4C4×D17semidirect
1263. C17#34407semidirect
1286. C24C2×C4×D17semidirect
1328. C2×D4C2×C4×D17semidirect
1329. C2×D4C2×C4×D17semidirect
1392. C22×C4C2×C4×D17semidirect

Maximal subgroups

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

subgroupindex
C2×#117633682
#145319422
#145319352
#145319282
#145319232
#145319152
#145318252
#145318192
#145317822
#145317702
#145317632
#145316352
#145316292
D4×C22⋊Dic172
#145315742
#145315702
#145315502
#145315432
#145314742
#145314702
#145314472
#145314422
#145314392
#145314382
#145313652
#145312892
C4×#105876232
C2×#117626852
D4×C22⋊C4×C172
#3440717