Finite Group Databasebeta

← #17199678

Subgroups — #17199678

Order 4352.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763447C211yesmaximal, characteristic
2#14531945C211yesmaximal, characteristic, complemented
3#14531943C211yesmaximal, characteristic, complemented
4#14531928C211yesmaximal, characteristic, complemented
5#14531922C211yesmaximal, characteristic, complemented
6#14531895C211yesmaximal, characteristic, complemented
7#14531829C211yesmaximal, characteristic, complemented
8#14531825C211yesmaximal, characteristic, complemented
9#14531772C211yesmaximal, characteristic, complemented
10#14531761C211yesmaximal, characteristic, complemented
11#14531722C211yesmaximal, characteristic, complemented
12#14531720C211yesmaximal, characteristic, complemented
13#14531636C211yesmaximal, characteristic, complemented
14#14531626C211yesmaximal, characteristic, complemented
15#14531602C211yesmaximal, characteristic, complemented
16#14531596C211yesmaximal, characteristic, complemented
17#14531574C211yesmaximal, characteristic, complemented
18#14531550C211yesmaximal, characteristic, complemented
19#14531539C211yesmaximal, characteristic, complemented
20#14531487C211yesmaximal, characteristic, complemented
21#14531450C211yesmaximal, characteristic, complemented
22#14531440C211yesmaximal, characteristic, complemented
23#14531438C211yesmaximal, characteristic, complemented
24#14531424C211yesmaximal, characteristic, complemented
25#14531381C211yesmaximal, characteristic, complemented
26#14531376C211yesmaximal, characteristic, complemented
27#14531358C211yesmaximal, characteristic, complemented
28C4×#10587625C211yesmaximal, characteristic, complemented
29#14531224C211yesmaximal, characteristic, complemented
30C2×#11762701C211yesmaximal, characteristic, complemented
31C17×#2339C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33#11763447C4116yescomplemented
34C2×#10587633C2211yescharacteristic
35C2×#10587615C2211yescharacteristic
36C2×#10587615C2211yescharacteristic
37C2×#10587632C2211yescharacteristic
38C2×#10587616C2211yescharacteristic
39C2×#10587625C2211yescharacteristic
40C2×#10587625C2211yescharacteristic
41C2×#10587623C2211yescharacteristic
42C2×#10587623C2211yescharacteristic
43C2×D4×Dic17C2211yescharacteristic
44C2×C4×C22⋊D17C2211yescharacteristic
45C2×C4×C22⋊D17C2211yescharacteristic
46C2×C4×C22⋊D17C2211yescharacteristic, complemented
47C2×C4×C22⋊D17C2211yescharacteristic, complemented
48C2×#10587567C2211yescharacteristic
49C2×#10587612C2211yescharacteristic, complemented
50C2×#10587563C2211yescharacteristic, complemented
51C22×C4⋊Dic17C2211yescharacteristic, complemented
52C22×#63227C2211yescharacteristic
53C22×#63227C2211yescharacteristic
54C22×#63227C2211yescharacteristic
55C22×#63227C2211yescharacteristic
56C2×C22⋊C4×D17C2211yescharacteristic
57C2×C22⋊C4×D17C2211yescharacteristic
58C22×C4×Dic17C2211yescharacteristic, complemented
59#11762716C2211yescharacteristic, complemented
60#11762716C2211yescharacteristic, complemented
61#11762712C2211yescharacteristic, complemented
62#11762712C2211yescharacteristic, complemented
63#11762709C2211yescharacteristic
64#11762709C2211yescharacteristic
65#11762709C2211yescharacteristic
66#11762709C2211yescharacteristic
67#11762709C2211yescharacteristic, complemented
68#11762709C2211yescharacteristic, complemented
69#11762706C2211yescharacteristic, complemented
70#11762706C2211yescharacteristic, complemented
71#11762706C2211yescharacteristic, complemented
72#11762704C2211yescharacteristic, complemented
73#11762703C2211yescharacteristic, complemented
74#11762703C2211yescharacteristic, complemented
75#11762703C2211yescharacteristic, complemented
76#11762703C2211yescharacteristic, complemented
77#11762701C2211yescharacteristic
78#11762701C2211yescharacteristic
79#11762701C2211yescharacteristic
80#11762701C2211yescharacteristic
81#11762701C2211yescharacteristic
82#11762701C2211yescharacteristic
83#11762701C2211yescharacteristic, complemented
84#11762701C2211yescharacteristic, complemented
85#11762701C2211yescharacteristic, complemented
86#11762701C2211yescharacteristic, complemented
87#11762701C2211yescharacteristic, complemented
88#11762701C2211yescharacteristic, complemented
89#11762701C2211yescharacteristic, complemented
90#11762700C2211yescharacteristic
91#11762700C2211yescharacteristic
92#11762700C2211yescharacteristic, complemented
93#11762699C2211yescharacteristic
94#11762699C2211yescharacteristic
95#11762699C2211yescharacteristic, complemented
96#11762699C2211yescharacteristic, complemented
97#11762699C2211yescharacteristic, complemented
98#11762698C2211yescharacteristic
99#11762698C2211yescharacteristic
100#11762698C2211yescharacteristic, complemented
101#11762697C2211yescharacteristic, complemented
102#11762697C2211yescharacteristic, complemented
103#11762696C2211yescharacteristic, complemented
104#11762696C2211yescharacteristic, complemented
105#11762696C2211yescharacteristic, complemented
106#11762694C2211yescharacteristic, complemented
107#11762694C2211yescharacteristic, complemented
108#11762693C2211yescharacteristic, complemented
109#11762692C2211yescharacteristic, complemented
110#11762692C2211yescharacteristic, complemented
111#11762691C2211yescharacteristic, complemented
112#11762690C2211yescharacteristic, complemented
113#11762689C2211yescharacteristic
114#11762689C2211yescharacteristic
115#11762689C2211yescharacteristic, complemented
116#11762689C2211yescharacteristic, complemented
117#11762688C2211yescharacteristic
118#11762688C2211yescharacteristic
119#11762688C2211yescharacteristic
120#11762688C2211yescharacteristic, complemented
121#11762688C2211yescharacteristic, complemented
122#11762687C2211yescharacteristic
123#11762687C2211yescharacteristic
124#11762687C2211yescharacteristic
125#11762687C2211yescharacteristic
126#11762686C2211yescharacteristic
127#11762685C2211yescharacteristic
128#11762685C2211yescharacteristic
129#11762685C2211yescharacteristic, complemented
130#11762685C2211yescharacteristic, complemented
131#11762683C2211yescharacteristic, complemented
132#11762683C2211yescharacteristic, complemented
133#11762683C2211yescharacteristic, complemented
134#11762683C2211yescharacteristic, complemented
135#11762683C2211yescharacteristic, complemented
136#11762682C2211yescharacteristic, complemented
137#11762681C2211yescharacteristic, complemented
138#11762680C2211yescharacteristic, complemented
139#11762676C2211yescharacteristic, complemented
140#11762671C2211yescharacteristic
141#11762671C2211yescharacteristic
142#11762670C2211yescharacteristic, complemented
143#11762669C2211yescharacteristic, complemented
144#11762669C2211yescharacteristic, complemented
145#11762669C2211yescharacteristic, complemented
146#11762669C2211yescharacteristic, complemented
147#11762668C2211yescharacteristic
148#11762667C2211yescharacteristic, complemented
149#11762664C2211yescharacteristic
150#11762664C2211yescharacteristic
151#11762664C2211yescharacteristic
152#11762664C2211yescharacteristic
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
160C4×#63227C2211yescharacteristic, complemented
161C4×#63227C2211yescharacteristic, complemented
162C4×#63227C2211yescharacteristic, complemented
163C4×C22⋊Dic17C2211yescharacteristic, complemented
164C4×C22⋊Dic17C2211yescharacteristic, complemented
165C4×C22⋊Dic17C2211yescharacteristic, complemented
166#11762656C2211yescharacteristic
167#11762656C2211yescharacteristic, complemented
168#11762656C2211yescharacteristic, complemented
169#11762656C2211yescharacteristic, complemented
170#11762654C2211yescharacteristic, complemented
171#11762654C2211yescharacteristic, complemented
172C2×#10587502C2211yescharacteristic, complemented
173C22×#41×C17C2211yescharacteristic
174C2×C4×D4×C17C2211yescharacteristic, complemented
175C2×C4×D4×C17C2211yescharacteristic, complemented
176C17×#391C2211yescharacteristic, complemented
177C17×#391C2211yescharacteristic, complemented
178C17×#386C2211yescharacteristic
179C17×#386C2211yescharacteristic
180C17×#386C2211yescharacteristic, complemented
181C17×#386C2211yescharacteristic, complemented
182C17×#381C2211yescharacteristic, complemented
183C17×#381C2211yescharacteristic, complemented
184C17×#380C2211yescharacteristic, complemented
185C4×C22⋊C4×C17C2211yescharacteristic, complemented
186C2×C17×#95C2211yescharacteristic, complemented
187C2×C17×#95C2211yescharacteristic, complemented
188C24×D17C2311yescharacteristic
189C24×D17C2311yescharacteristic
190C2×#41×C17—42no—
191C2×#41×C17—42no—
192C2×#41×C17C2×C418yescomplemented
193C22×Q8×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C23×C4×C17C2311yescharacteristic
203C23×C4×C17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C22×C22⋊D17C2311yescharacteristic
208C22×C22⋊D17C2311yescharacteristic
209C23×Dic17C2311yescharacteristic
210C23×Dic17C2311yescharacteristic
211C23×Dic17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C2×D4×D17—42no—
214C2×D4×D17—42no—
215C2×D4×D17C2×C418yescomplemented
216C22×D68C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C4×D4×C17—42no—
223C4×D4×C17—42no—
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2311yescharacteristic
227C2×C22⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C42×C17C2311yescharacteristic
235C2×C42×C17C2311yescharacteristic
236C2×C22⋊Dic17C2311yescharacteristic
237C2×C22⋊Dic17C2311yescharacteristic
238C2×C22⋊Dic17C2311yescharacteristic
239C2×C22⋊Dic17C2311yescharacteristic
240C2×C22⋊Dic17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249#10587633C2×C418yescomplemented
250#10587632C2×C418yescomplemented
251#10587625C2×C418yescomplemented
252#10587625C2×C418yescomplemented
253#10587623C2×C418yescomplemented
254#10587623C2×C418yescomplemented
255D4×Dic17C2×C418yescomplemented
256#10587616C2×C418yescomplemented
257#10587615C2×C418yescomplemented
258#10587615C2×C418yescomplemented
259C4×C22⋊D17—42no—
260C4×C22⋊D17—42no—
261C4×C22⋊D17—42no—
262C4×C22⋊D17C2×C418yescomplemented
263C2×#63227—42no—
264C2×#63227—42no—
265C2×#63227C2×C418yescomplemented
266C2×#63227C2×C418yescomplemented
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×#63227C2311yescharacteristic
292C2×#63227C2311yescharacteristic
293C2×#63227C2311yescharacteristic
294C2×#63227C2311yescharacteristic
295C2×#63227C2311yescharacteristic
296#10587612—42no—
297C2×C4⋊Dic17—42no—
298C2×C4⋊Dic17C2311yescharacteristic
299C2×C4⋊Dic17C2311yescharacteristic
300C2×C4⋊Dic17C2311yescharacteristic
301C2×C4⋊Dic17C2311yescharacteristic
302C2×C4⋊Dic17C2311yescharacteristic
303C2×C4⋊Dic17C2311yescharacteristic
304C2×C4⋊Dic17C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×C4×Dic17—42no—
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
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
332#10587567—42no—
333C22⋊C4×D17—42no—
334C22⋊C4×D17—42no—
335#10587563—42no—
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376C24×C17C2411yescharacteristic
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C23×D17—22no—
380C23×D17—22no—
381C23×D17—41no—
382C23×D17—41no—
383C23×D17—41no—
384C23×D17—41no—
385C23×D17—41no—
386C23×D17—41no—
387C23×D17—41no—
388C23×D17—41no—
389C23×D17—41no—
390C23×D17—41no—
391C23×D17C22×C414yes—
392C23×D17C22×C414yes—
393C23×D17C2411yescharacteristic
394C23×D17C2411yescharacteristic
395C23×D17C2411yescharacteristic
396#41×C17—416no—
397C2×Q8×C17—41no—
398C2×Q8×C17—41no—
399C2×Q8×C17C22×C414yes—
400C2×D4×C17—22no—
401C2×D4×C17—22no—
402C2×D4×C17—22no—
403C2×D4×C17—22no—
404C2×D4×C17—41no—
405C2×D4×C17—41no—
406C2×D4×C17C22×C414yes—
407C2×D4×C17C22×C414yes—
408C2×D4×C17C22×C414yes—
409C22×C4×C17—22no—
410C22×C4×C17—22no—
411C22×C4×C17—22no—
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×C17C22×C414yes—
428C22×C4×C17C22×C414yes—
429C22×C4×C17C22×C414yes—
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C22×C4×C17C2411yescharacteristic
439C22×C4×C17C2411yescharacteristic
440C22×C4×C17C2411yescharacteristic
441C22×C4×C17C2411yescharacteristic
442C2×C22⋊D17—22no—
443C2×C22⋊D17—22no—
444C2×C22⋊D17—41no—
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⋊D17C22×C414yes—
453C2×C22⋊D17C22×C414yes—
454C2×C22⋊D17C22×C414yes—
455C2×C22⋊D17C22×C414yes—
456C2×C22⋊D17C22×C414yes—
457C22×Dic17—22no—
458C22×Dic17—22no—
459C22×Dic17—41no—
460C22×Dic17—41no—
461C22×Dic17—41no—
462C22×Dic17—41no—
463C22×Dic17—41no—
464C22×Dic17—41no—
465C22×Dic17—41no—
466C22×Dic17—41no—
467C22×Dic17C22×C414yes—
468C22×Dic17C22×C414yes—
469C22×Dic17C2411yescharacteristic
470C22×Dic17C2411yescharacteristic
471C22×Dic17C2411yescharacteristic
472C22×Dic17C2411yescharacteristic
473C22×Dic17C2411yescharacteristic
474C22×Dic17C2411yescharacteristic
475C22×Dic17C2411yescharacteristic
476C22×Dic17C2411yescharacteristic
477C22×Dic17C2411yescharacteristic
478C22×Dic17C2411yescharacteristic
479C22×Dic17C2411yescharacteristic
480C22×Dic17C2411yescharacteristic
481C22×Dic17C2411yescharacteristic
482D4×D17—416no—
483C2×D68—41no—
484C2×D68—41no—
485C2×D68C22×C414yes—
486C2×C4×D17—22no—
487C2×C4×D17—41no—
488C2×C4×D17—41no—
489C2×C4×D17—41no—
490C2×C4×D17—41no—
491C2×C4×D17—41no—
492C2×C4×D17—41no—
493C2×C4×D17—41no—
494C2×C4×D17—41no—
495C2×C4×D17—41no—
496C2×C4×D17—41no—
497C2×C4×D17—41no—
498C2×C4×D17—41no—
499C2×C4×D17—41no—
500C2×C4×D17C22×C414yes—
501C4⋊C4×C17—41no—
502C4⋊C4×C17—41no—
503C22⋊C4×C17—22no—
504C22⋊C4×C17—22no—
505C22⋊C4×C17—22no—
506C22⋊C4×C17—41no—
507C22⋊C4×C17—41no—
508C22⋊C4×C17—41no—
509C22⋊C4×C17—41no—
510C22⋊C4×C17—41no—
511C42×C17—41no—
512C42×C17—41no—
513C22⋊Dic17—22no—
514C22⋊Dic17—22no—
515C22⋊Dic17—41no—
516C22⋊Dic17—41no—
517C22⋊Dic17—41no—
518C22⋊Dic17—41no—
519C22⋊Dic17—41no—
520C22⋊Dic17—41no—
521C22⋊Dic17—41no—
522C22⋊Dic17—41no—
523C22⋊Dic17C22×C414yes—
524C22⋊Dic17C22×C414yes—
525C22⋊Dic17C22×C414yes—
526#63227—22no—
527#63227—22no—
528#63227—41no—
529#63227—41no—
530#63227—41no—
531#63227—41no—
532#63227—41no—
533#63227—41no—
534#63227—41no—
535#63227—41no—
536#63227—41no—
537#63227—41no—
538#63227—41no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542#63227—41no—
543#63227—41no—
544#63227—41no—
545#63227—41no—
546#63227C22×C414yes—
547#63227C22×C414yes—
548#63227C22×C414yes—
549#63227C22×C414yes—
550#63227C22×C414yes—
551#63227C22×C414yes—
552#63227C22×C414yes—
553#63227C22×C414yes—
554#63227C22×C414yes—
555C4⋊Dic17—41no—
556C4⋊Dic17—41no—
557C4⋊Dic17—41no—
558C4⋊Dic17—41no—
559C4⋊Dic17—41no—
560C4⋊Dic17—41no—
561C4⋊Dic17C22×C414yes—
562#63225—22no—
563#63225—41no—
564#63225—41no—
565#63225—41no—
566#63225—41no—
567#63225—41no—
568#63225—41no—
569#63225—41no—
570#63225C22×C414yes—
571#63225C22×C414yes—
572#63225C22×C414yes—
573C4×Dic17—22no—
574C4×Dic17—22no—
575C4×Dic17—41no—
576C4×Dic17—41no—
577C4×Dic17—41no—
578C4×Dic17—41no—
579C4×Dic17—41no—
580C4×Dic17—41no—
581C4×Dic17—41no—
582C4×Dic17—41no—
583C4×Dic17—41no—
584C4×Dic17—41no—
585C4×Dic17—41no—
586C4×Dic17—41no—
587C4×Dic17C22×C414yes—
588#34492—171nomaximal, Sylow
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—21no—
599C23×C17—21no—
600C23×C17—21no—
601C23×C17—21no—
602C23×C17—21no—
603C23×C17—21no—
604C23×C17—21no—
605C23×C17C23×C412yes—
606C23×C17C23×C412yes—
607C23×C17C23×C412yes—
608C23×C17H(5,𝔽2)12yes—
609C23×C17H(5,𝔽2)12yes—
610C23×C17C2511yescharacteristic
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—21no—
615C22×D17—21no—
616C22×D17—21no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—21no—
625C22×D17—21no—
626C22×D17—21no—
627C22×D17—21no—
628C22×D17—21no—
629C22×D17—28no—
630C22×D17—44no—
631C22×D17—44no—
632C22×D17—44no—
633C22×D17—44no—
634C22×D17—44no—
635C22×D17—82no—
636C22×D17—82no—
637C22×D17—82no—
638C22×D17—82no—
639C22×D17—82no—
640C22×D17—82no—
641C22×D17—82no—
642C22×D17—82no—
643C22×D17C23×C412yes—
644C22×D17C23×C412yes—
645C22×D17C23×C412yes—
646Q8×C17—44no—
647D4×C17—28no—
648D4×C17—28no—
649D4×C17—44no—
650C2×C4×C17—28no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—44no—
683C2×C4×C17—44no—
684C2×C4×C17—44no—
685C2×C4×C17—82no—
686C2×C4×C17—82no—
687C2×C4×C17—82no—
688C2×C4×C17C23×C412yes—
689C2×C4×C17C23×C412yes—
690C2×C4×C17C23×C412yes—
691C2×C4×C17C23×C412yes—
692C2×C4×C17H(5,𝔽2)12yes—
693C22⋊D17—28no—
694C22⋊D17—44no—
695C22⋊D17—44no—
696C22⋊D17—44no—
697C22⋊D17—44no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—44no—
733C2×Dic17—44no—
734C2×Dic17—44no—
735C2×Dic17—82no—
736C2×Dic17C23×C412yes—
737C2×Dic17C23×C412yes—
738C2×Dic17C23×C412yes—
739C2×Dic17C23×C412yes—
740C2×Dic17C23×C412yes—
741D68—44no—
742C4×D17—44no—
743C4×D17—82no—
744C4×D17—82no—
745C4×D17—82no—
746C4×D17—82no—
747C2×#546—171no—
748#2378—171no—
749#2377—171no—
750#2376—171no—
751#2375—171no—
752#2372—171no—
753#2364—171no—
754#2363—171no—
755#2359—171no—
756#2358—171no—
757#2353—171no—
758#2353—171no—
759#2342—171no—
760#2342—171no—
761#2339D1711yescharacteristic, complemented
762D4×C22⋊C4—171no—
763#2337—171no—
764#2335—171no—
765#2333—171no—
766#2332—171no—
767#2325—171no—
768#2322—171no—
769#2321—171no—
770#2321—171no—
771#2319—171no—
772#2312—171no—
773#2311—171no—
774#2308—171no—
775C4×#121—171no—
776#2290—171no—
777C2×#388—171no—
778C22×C17—22no—
779C22×C17—22no—
780C22×C17—22no—
781C22×C17—22no—
782C22×C17—22no—
783C22×C17—22no—
784C22×C17—22no—
785C22×C17—22no—
786C22×C17—22no—
787C22×C17—22no—
788C22×C17—22no—
789C22×C17—22no—
790C22×C17—41no—
791C22×C17—41no—
792C22×C17—41no—
793C22×C17—41no—
794C22×C17—41no—
795C22×C17—41no—
796C22×C17—41no—
797C22×C17—41no—
798C22×C17#51814yes—
799C22×C17C24×C411yescharacteristic
800C22×C17C2×H(5,𝔽2)11yescharacteristic
801C22×C17C2×H(5,𝔽2)11yescharacteristic
802C22×C17C2×H(5,𝔽2)11yescharacteristic
803C22×C17#58511yescharacteristic
804C22×C17#58511yescharacteristic
805C22×C17#58511yescharacteristic
806C2×D17—22no—
807C2×D17—22no—
808C2×D17—22no—
809C2×D17—22no—
810C2×D17—22no—
811C2×D17—22no—
812C2×D17—22no—
813C2×D17—22no—
814C2×D17—22no—
815C2×D17—41no—
816C2×D17—41no—
817C2×D17—41no—
818C2×D17—41no—
819C2×D17—41no—
820C2×D17—41no—
821C2×D17—41no—
822C2×D17—41no—
823C2×D17—41no—
824C2×D17—41no—
825C2×D17—41no—
826C2×D17—41no—
827C2×D17—88no—
828C2×D17—88no—
829C4×C17—22no—
830C4×C17—22no—
831C4×C17—22no—
832C4×C17—22no—
833C4×C17—22no—
834C4×C17—41no—
835C4×C17—41no—
836C4×C17—41no—
837C4×C17—41no—
838C4×C17—41no—
839C4×C17—41no—
840C4×C17—41no—
841Dic17—22no—
842Dic17—22no—
843Dic17—22no—
844Dic17—22no—
845Dic17—22no—
846Dic17—41no—
847Dic17—41no—
848Dic17—41no—
849Dic17—41no—
850Dic17—41no—
851Dic17—41no—
852Dic17—41no—
853Dic17—41no—
854C22×#41C2×D1711yescharacteristic
855C23×D4—171no—
856#546—1716no—
857C2×#124—171no—
858C2×#123—171no—
859C2×#123—171no—
860C2×C22⋊Q8—171no—
861C2×#121—171no—
862C2×#121—171no—
863C2×#121—171no—
864C2×#120—171no—
865C2×#120—171no—
866C2×C4×D4—171no—
867C2×C4×D4—171no—
868C2×C4×D4—171no—
869C2×C4×D4—171no—
870C2×C4×D4—171no—
871C2×C4×D4—171no—
872C2×C4×D4C2×D1711yescharacteristic, complemented
873C2×C4×D4C2×D1711yescharacteristic, complemented
874C2×#117—171no—
875C2×#117—171no—
876C22×C4⋊C4—171no—
877C22×C22⋊C4—171no—
878C22×C22⋊C4—171no—
879C22×C22⋊C4—171no—
880C22×C22⋊C4—171no—
881C22×C22⋊C4—171no—
882C22×C22⋊C4—171no—
883C22×C42—171no—
884#391—171no—
885#391—171no—
886#391C2×D1711yescharacteristic, complemented
887#391C2×D1711yescharacteristic, complemented
888#390—171no—
889#390—171no—
890#390—171no—
891#390—171no—
892#390—171no—
893#390—171no—
894#390—171no—
895#390—171no—
896#389—171no—
897#389—171no—
898#389—171no—
899#389—171no—
900#388—171no—
901#388—171no—
902#388—171no—
903#388—171no—
904#388—171no—
905#388—171no—
906#388—171no—
907#388—171no—
908#388—171no—
909#388—171no—
910#388—171no—
911#388—171no—
912#388—171no—
913#388—171no—
914#388—171no—
915#388—171no—
916#388—171no—
917#388—171no—
918#388—171no—
919#388—171no—
920#388—171no—
921#388—171no—
922#388—171no—
923#388—171no—
924#388—171no—
925#388—171no—
926#388—171no—
927#388—171no—
928#388—171no—
929#388—171no—
930#387—171no—
931#387—171no—
932#387—171no—
933#387—171no—
934#387—171no—
935#387—171no—
936#387—171no—
937#387—171no—
938#387—171no—
939#387—171no—
940#386—171no—
941#386—171no—
942#386—171no—
943#386—171no—
944#386—171no—
945#386—171no—
946#386—171no—
947#386—171no—
948#386—171no—
949#386—171no—
950#386—171no—
951#386—171no—
952#386—171no—
953#386—171no—
954#386—171no—
955#386—171no—
956#386—171no—
957#386—171no—
958#386C2×D1711yescharacteristic
959#386C2×D1711yescharacteristic
960#386C2×D1711yescharacteristic, complemented
961#386C2×D1711yescharacteristic, complemented
962#385—171no—
963#385—171no—
964#385—171no—
965#385—171no—
966#385—171no—
967#385—171no—
968#385—171no—
969#385—171no—
970#383—171no—
971#381—171no—
972#381—171no—
973#381—171no—
974#381C2×D1711yescharacteristic, complemented
975#381C2×D1711yescharacteristic, complemented
976#380—171no—
977#380—171no—
978#380—171no—
979#380—171no—
980#380—171no—
981#380—171no—
982#380C2×D1711yescharacteristic, complemented
983#379—171no—
984#379—171no—
985#379—171no—
986#379—171no—
987C4×C4⋊C4—171no—
988C4×C4⋊C4—171no—
989C4×C4⋊C4—171no—
990C4×C22⋊C4—171no—
991C4×C22⋊C4—171no—
992C4×C22⋊C4—171no—
993C4×C22⋊C4—171no—
994C4×C22⋊C4—171no—
995C4×C22⋊C4—171no—
996C4×C22⋊C4—171no—
997C4×C22⋊C4—171no—
998C4×C22⋊C4—171no—
999C4×C22⋊C4—171no—
1000C4×C22⋊C4—171no—
1001C4×C22⋊C4—171no—
1002C4×C22⋊C4—171no—
1003C4×C22⋊C4—171no—
1004C4×C22⋊C4C2×D1711yescharacteristic, complemented
1005#376—171no—
1006#376—171no—
1007C2×#95—171no—
1008C2×#95C2×D1711yescharacteristic, complemented
1009C2×#95C2×D1711yescharacteristic, complemented
1010C2×C17—24no—
1011C2×C17—42no—
1012C2×C17—42no—
1013C2×C17C2×#51811yescharacteristic
1014C2×C17#342811yescharacteristic
1015C2×C17C4×H(5,𝔽2)11yescharacteristic
1016C2×C17#353411yescharacteristic
1017C2×C17#354211yescharacteristic
1018C2×C17#354511yescharacteristic
1019C2×C17#356011yescharacteristic
1020D17—42no—
1021D17—42no—
1022D17—42no—
1023C25—171no—
1024C25—171no—
1025C2×#41—42no—
1026C2×#41—42no—
1027C2×#41C4×D1718yescomplemented
1028C22×Q8C22×D1711yescharacteristic
1029C22×D4—171no—
1030C22×D4—171no—
1031C22×D4—171no—
1032C22×D4—171no—
1033C22×D4—171no—
1034C22×D4—178no—
1035C22×D4—171no—
1036C22×D4—682no—
1037C22×D4—682no—
1038C22×D4C22×D1711yescharacteristic
1039C22×D4C22×D1711yescharacteristic
1040C22×D4C22×D1711yescharacteristic
1041C23×C4—171no—
1042C23×C4—171no—
1043C23×C4—171no—
1044C23×C4—171no—
1045C23×C4—171no—
1046C23×C4—171no—
1047C23×C4—171no—
1048C23×C4—171no—
1049C23×C4—171no—
1050C23×C4C22×D1711yescharacteristic
1051C23×C4C22×D1711yescharacteristic
1052C23×C4C22×D1711yescharacteristic
1053C23×C4C22×D1711yescharacteristic
1054C23×C4C22×D1711yescharacteristic
1055C23×C4C22×D1711yescharacteristic
1056C23×C4C22×D1711yescharacteristic
1057#124—178no—
1058#123—178no—
1059#123—178no—
1060C22⋊Q8—178no—
1061#121—178no—
1062#121—178no—
1063#121—178no—
1064#120—178no—
1065#120—178no—
1066C4×D4—42no—
1067C4×D4—42no—
1068C4×D4—178no—
1069C4×D4—178no—
1070C4×D4—682no—
1071C4×D4—682no—
1072C4×D4—682no—
1073C4×D4—682no—
1074#117—682no—
1075#117—682no—
1076C2×C4⋊C4—171no—
1077C2×C4⋊C4—171no—
1078C2×C4⋊C4—171no—
1079C2×C4⋊C4—171no—
1080C2×C4⋊C4—171no—
1081C2×C4⋊C4—171no—
1082C2×C4⋊C4—171no—
1083C2×C4⋊C4—171no—
1084C2×C4⋊C4—171no—
1085C2×C4⋊C4—171no—
1086C2×C4⋊C4—171no—
1087C2×C4⋊C4—171no—
1088C2×C4⋊C4—171no—
1089C2×C4⋊C4—171no—
1090C2×C4⋊C4—171no—
1091C2×C4⋊C4—171no—
1092C2×C4⋊C4—171no—
1093C2×C4⋊C4—171no—
1094C2×C4⋊C4—682no—
1095C2×C4⋊C4C22×D1711yescharacteristic
1096C2×C4⋊C4C22×D1711yescharacteristic
1097C2×C22⋊C4—171no—
1098C2×C22⋊C4—171no—
1099C2×C22⋊C4—171no—
1100C2×C22⋊C4—178no—
1101C2×C22⋊C4—178no—
1102C2×C22⋊C4—171no—
1103C2×C22⋊C4—171no—
1104C2×C22⋊C4—171no—
1105C2×C22⋊C4—171no—
1106C2×C22⋊C4—171no—
1107C2×C22⋊C4—171no—
1108C2×C22⋊C4—171no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—171no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—171no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—171no—
1117C2×C22⋊C4—171no—
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—171no—
1123C2×C22⋊C4—171no—
1124C2×C22⋊C4—171no—
1125C2×C22⋊C4—171no—
1126C2×C22⋊C4—171no—
1127C2×C22⋊C4—171no—
1128C2×C22⋊C4—171no—
1129C2×C22⋊C4—171no—
1130C2×C22⋊C4—171no—
1131C2×C22⋊C4—171no—
1132C2×C22⋊C4—171no—
1133C2×C22⋊C4—171no—
1134C2×C22⋊C4—171no—
1135C2×C22⋊C4—171no—
1136C2×C22⋊C4—171no—
1137C2×C22⋊C4—171no—
1138C2×C22⋊C4—171no—
1139C2×C22⋊C4—171no—
1140C2×C22⋊C4—171no—
1141C2×C22⋊C4—682no—
1142C2×C22⋊C4—682no—
1143C2×C22⋊C4—682no—
1144C2×C22⋊C4—682no—
1145C2×C22⋊C4C22×D1711yescharacteristic
1146C2×C22⋊C4C22×D1711yescharacteristic
1147C2×C22⋊C4C22×D1711yescharacteristic
1148C2×C22⋊C4C22×D1711yescharacteristic
1149C2×C22⋊C4C22×D1711yescharacteristic
1150C2×C22⋊C4C22×D1711yescharacteristic
1151C2×C22⋊C4C22×D1711yescharacteristic
1152C2×C22⋊C4C22×D1711yescharacteristic
1153C2×C42—171no—
1154C2×C42—171no—
1155C2×C42—171no—
1156C2×C42—171no—
1157C2×C42—171no—
1158C2×C42—171no—
1159C2×C42—171no—
1160C2×C42—171no—
1161C2×C42—171no—
1162C2×C42—171no—
1163C2×C42—171no—
1164C2×C42—171no—
1165C2×C42—171no—
1166C2×C42—171no—
1167C2×C42—171no—
1168C2×C42—682no—
1169C2×C42C22×D1711yescharacteristic
1170C2×C42C22×D1711yescharacteristic
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95—171no—
1178#95—171no—
1179#95—171no—
1180#95—171no—
1181#95—171no—
1182#95—171no—
1183#95—171no—
1184#95—171no—
1185#95—171no—
1186#95—171no—
1187#95—171no—
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95—171no—
1195#95—171no—
1196#95—171no—
1197#95—171no—
1198#95—171no—
1199#95C22×D1711yescharacteristic
1200#95C22×D1711yescharacteristic
1201#95C22×D1711yescharacteristic
1202#95C22×D1711yescharacteristic
1203#95C22×D1711yescharacteristic
1204#95C22×D1711yescharacteristic
1205#95C22×D1711yescharacteristic
1206#95C22×D1711yescharacteristic
1207#95C22×D1711yescharacteristic
1208#95C22×D1711yescharacteristic
1209#95C22×D1711yescharacteristic
1210#95C22×D1711yescharacteristic
1211C17#3449211yescharacteristic, complemented, Sylow
1212C24—171no—
1213C24—171no—
1214C24—171no—
1215C24—174no—
1216C24—174no—
1217C24—342no—
1218C24—342no—
1219C24—681no—
1220C24—681no—
1221C24—681no—
1222C24—681no—
1223C24—681no—
1224C24—681no—
1225C24—681no—
1226C24—681no—
1227C24—681no—
1228C24—681no—
1229C24C23×D1711yescharacteristic
1230C24C23×D1711yescharacteristic
1231C24C23×D1711yescharacteristic
1232#41—416no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8C2×C4×D1714yes—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—174no—
1243C2×D4—174no—
1244C2×D4—174no—
1245C2×D4—174no—
1246C2×D4—174no—
1247C2×D4—174no—
1248C2×D4—342no—
1249C2×D4—342no—
1250C2×D4—681no—
1251C2×D4—681no—
1252C2×D4—681no—
1253C2×D4—681no—
1254C2×D4—681no—
1255C2×D4—681no—
1256C2×D4—681no—
1257C2×D4—681no—
1258C2×D4—681no—
1259C2×D4—681no—
1260C2×D4—6816no—
1261C2×D4C2×C4×D1714yes—
1262C2×D4C2×C4×D1714yes—
1263C2×D4C2×C4×D1714yes—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—171no—
1283C22×C4—171no—
1284C22×C4—171no—
1285C22×C4—171no—
1286C22×C4—171no—
1287C22×C4—174no—
1288C22×C4—174no—
1289C22×C4—174no—
1290C22×C4—171no—
1291C22×C4—171no—
1292C22×C4—171no—
1293C22×C4—171no—
1294C22×C4—171no—
1295C22×C4—171no—
1296C22×C4—171no—
1297C22×C4—171no—
1298C22×C4—342no—
1299C22×C4—342no—
1300C22×C4—342no—
1301C22×C4—681no—
1302C22×C4—681no—
1303C22×C4—681no—
1304C22×C4—681no—
1305C22×C4—681no—
1306C22×C4—681no—
1307C22×C4—681no—
1308C22×C4—681no—
1309C22×C4—681no—
1310C22×C4—681no—
1311C22×C4—681no—
1312C22×C4—681no—
1313C22×C4—681no—
1314C22×C4—681no—
1315C22×C4—681no—
1316C22×C4—681no—
1317C22×C4—681no—
1318C22×C4—681no—
1319C22×C4—681no—
1320C22×C4—681no—
1321C22×C4—681no—
1322C22×C4C2×C4×D1714yes—
1323C22×C4C2×C4×D1714yes—
1324C22×C4C2×C4×D1714yes—
1325C22×C4C23×D1711yescharacteristic
1326C22×C4C23×D1711yescharacteristic
1327C22×C4C23×D1711yescharacteristic
1328C22×C4C23×D1711yescharacteristic
1329C22×C4C23×D1711yescharacteristic
1330C22×C4C23×D1711yescharacteristic
1331C22×C4C23×D1711yescharacteristic
1332C22×C4C23×D1711yescharacteristic
1333C22×C4C23×D1711yescharacteristic
1334C22×C4C23×D1711yescharacteristic
1335C22×C4C23×D1711yescharacteristic
1336C22×C4C23×D1711yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—174no—
1340C4⋊C4—174no—
1341C4⋊C4—174no—
1342C4⋊C4—174no—
1343C4⋊C4—342no—
1344C4⋊C4—681no—
1345C4⋊C4—681no—
1346C4⋊C4—681no—
1347C4⋊C4—681no—
1348C4⋊C4—681no—
1349C4⋊C4—681no—
1350C4⋊C4—681no—
1351C4⋊C4—681no—
1352C4⋊C4—681no—
1353C4⋊C4—681no—
1354C4⋊C4—681no—
1355C4⋊C4—681no—
1356C4⋊C4—681no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—174no—
1366C22⋊C4—174no—
1367C22⋊C4—174no—
1368C22⋊C4—174no—
1369C22⋊C4—174no—
1370C22⋊C4—174no—
1371C22⋊C4—174no—
1372C22⋊C4—174no—
1373C22⋊C4—174no—
1374C22⋊C4—174no—
1375C22⋊C4—174no—
1376C22⋊C4—174no—
1377C22⋊C4—342no—
1378C22⋊C4—342no—
1379C22⋊C4—342no—
1380C22⋊C4—342no—
1381C22⋊C4—681no—
1382C22⋊C4—681no—
1383C22⋊C4—681no—
1384C22⋊C4—681no—
1385C22⋊C4—681no—
1386C22⋊C4—681no—
1387C22⋊C4—681no—
1388C22⋊C4—681no—
1389C22⋊C4—681no—
1390C22⋊C4—681no—
1391C22⋊C4—681no—
1392C22⋊C4—681no—
1393C22⋊C4—681no—
1394C22⋊C4—681no—
1395C22⋊C4—681no—
1396C22⋊C4—681no—
1397C22⋊C4—681no—
1398C22⋊C4—681no—
1399C22⋊C4—681no—
1400C22⋊C4—681no—
1401C22⋊C4—681no—
1402C22⋊C4—681no—
1403C22⋊C4—681no—
1404C22⋊C4—681no—
1405C22⋊C4—681no—
1406C22⋊C4—681no—
1407C42—41no—
1408C42—41no—
1409C42—174no—
1410C42—342no—
1411C42—342no—
1412C42—681no—
1413C42—681no—
1414C42—681no—
1415C42—681no—
1416C42—681no—
1417C42—681no—
1418C42—681no—
1419C42—681no—
1420C42—681no—
1421C42—681no—
1422C42—681no—
1423C42—681no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—172no—
1441C23—172no—
1442C23—172no—
1443C23—341no—
1444C23—341no—
1445C23—341no—
1446C23—341no—
1447C23—341no—
1448C23—341no—
1449C23—341no—
1450C23—341no—
1451C23—341no—
1452C23—341no—
1453C23—341no—
1454C23—341no—
1455C23—341no—
1456C23—341no—
1457C23—341no—
1458C23—341no—
1459C23—341no—
1460C23—341no—
1461C23—348no—
1462C23—684no—
1463C23—684no—
1464C23—684no—
1465C23—684no—
1466C23—684no—
1467C23—1362no—
1468C23—1362no—
1469C23—1362no—
1470C23—1362no—
1471C23—1362no—
1472C23—1362no—
1473C23—1362no—
1474C23—1362no—
1475C23C22×C4×D1712yes—
1476C23C22×C4×D1712yes—
1477C23C22×C4×D1712yes—
1478C23#1058769112yes—
1479C23#1058769112yes—
1480C23C24×D1711yescharacteristic
1481Q8—44no—
1482D4—28no—
1483D4—28no—
1484D4—44no—
1485D4—348no—
1486D4—684no—
1487D4—684no—
1488D4—684no—
1489D4—684no—
1490D4—684no—
1491C2×C4—28no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—82no—
1529C2×C4—172no—
1530C2×C4—172no—
1531C2×C4—172no—
1532C2×C4—172no—
1533C2×C4—172no—
1534C2×C4—341no—
1535C2×C4—341no—
1536C2×C4—341no—
1537C2×C4—341no—
1538C2×C4—341no—
1539C2×C4—341no—
1540C2×C4—341no—
1541C2×C4—341no—
1542C2×C4—341no—
1543C2×C4—341no—
1544C2×C4—341no—
1545C2×C4—341no—
1546C2×C4—341no—
1547C2×C4—341no—
1548C2×C4—341no—
1549C2×C4—341no—
1550C2×C4—341no—
1551C2×C4—341no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—341no—
1562C2×C4—341no—
1563C2×C4—341no—
1564C2×C4—341no—
1565C2×C4—341no—
1566C2×C4—341no—
1567C2×C4—341no—
1568C2×C4—684no—
1569C2×C4—684no—
1570C2×C4—684no—
1571C2×C4—684no—
1572C2×C4—1362no—
1573C2×C4—1362no—
1574C2×C4—1362no—
1575C2×C4—1362no—
1576C2×C4—1362no—
1577C2×C4C22×C4×D1712yes—
1578C2×C4C22×C4×D1712yes—
1579C2×C4C22×C4×D1712yes—
1580C2×C4C22×C4×D1712yes—
1581C2×C4#1058769612yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—342no—
1603C22—342no—
1604C22—342no—
1605C22—342no—
1606C22—342no—
1607C22—342no—
1608C22—342no—
1609C22—342no—
1610C22—342no—
1611C22—681no—
1612C22—681no—
1613C22—681no—
1614C22—681no—
1615C22—681no—
1616C22—681no—
1617C22—681no—
1618C22—681no—
1619C22—681no—
1620C22—681no—
1621C22—681no—
1622C22—681no—
1623C22—1368no—
1624C22—1368no—
1625C22#1176328214yes—
1626C22C23×C4×D1711yescharacteristic
1627C22C2×#1058769111yescharacteristic
1628C22C2×#1058769111yescharacteristic
1629C22C2×#1058769611yescharacteristic
1630C22#1176364411yescharacteristic
1631C22#1176364511yescharacteristic
1632C22#1176364611yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—342no—
1646C4—342no—
1647C4—342no—
1648C4—342no—
1649C4—342no—
1650C4—681no—
1651C4—681no—
1652C4—681no—
1653C4—681no—
1654C4—681no—
1655C4—681no—
1656C4—681no—
1657C4—681no—
1658C2—24no—
1659C2—42no—
1660C2—42no—
1661C2—682no—
1662C2—682no—
1663C2—682no—
1664C2C2×#1176328211yescharacteristic
1665C2#1454198411yescharacteristic
1666C2C4×#1058769611yescharacteristic
1667C2#1454297011yescharacteristic
1668C2#1454310111yescharacteristic
1669C2#1454313111yescharacteristic
1670C2#1454333211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2339C2
socle, cosocleC23×C17C25
prime radicalC2×#11763447C2
hypercenter#2339D17
hypocenterC17#34492
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. #14531945C2semidirect
3. #14531943C2semidirect
4. #14531928C2semidirect
5. #14531922C2semidirect
6. #14531895C2semidirect
7. #14531829C2semidirect
8. #14531825C2semidirect
9. #14531772C2semidirect
10. #14531761C2semidirect
11. #14531722C2semidirect
12. #14531720C2semidirect
13. #14531636C2semidirect
14. #14531626C2semidirect
15. #14531602C2semidirect
16. #14531596C2semidirect
17. #14531574C2semidirect
18. #14531550C2semidirect
19. #14531539C2semidirect
20. #14531487C2semidirect
21. #14531450C2semidirect
22. #14531440C2semidirect
23. #14531438C2semidirect
24. #14531424C2semidirect
25. #14531381C2semidirect
26. #14531376C2semidirect
27. #14531358C2semidirect
28. C4×#10587625C2semidirect
29. #14531224C2semidirect
30. C2×#11762701C2semidirect
31. C17×#2339C2semidirect
33. #11763447C4semidirect
46. C2×C4×C22⋊D17C22semidirect
47. C2×C4×C22⋊D17C22semidirect
49. C2×#10587612C22semidirect
50. C2×#10587563C22semidirect
51. C22×C4⋊Dic17C22semidirect
58. C22×C4×Dic17C22semidirect
59. #11762716C22semidirect
60. #11762716C22semidirect
61. #11762712C22semidirect
62. #11762712C22semidirect
67. #11762709C22semidirect
68. #11762709C22semidirect
69. #11762706C22semidirect
70. #11762706C22semidirect
71. #11762706C22semidirect
72. #11762704C22semidirect
73. #11762703C22semidirect
74. #11762703C22semidirect
75. #11762703C22semidirect
76. #11762703C22semidirect
83. #11762701C22semidirect
84. #11762701C22semidirect
85. #11762701C22semidirect
86. #11762701C22semidirect
87. #11762701C22semidirect
88. #11762701C22semidirect
89. #11762701C22semidirect
92. #11762700C22semidirect
95. #11762699C22semidirect
96. #11762699C22semidirect
97. #11762699C22semidirect
100. #11762698C22semidirect
101. #11762697C22semidirect
102. #11762697C22semidirect
103. #11762696C22semidirect
104. #11762696C22semidirect
105. #11762696C22semidirect
106. #11762694C22semidirect
107. #11762694C22semidirect
108. #11762693C22semidirect
109. #11762692C22semidirect
110. #11762692C22semidirect
111. #11762691C22semidirect
112. #11762690C22semidirect
115. #11762689C22semidirect
116. #11762689C22semidirect
120. #11762688C22semidirect
121. #11762688C22semidirect
129. #11762685C22semidirect
130. #11762685C22semidirect
131. #11762683C22semidirect
132. #11762683C22semidirect
133. #11762683C22semidirect
134. #11762683C22semidirect
135. #11762683C22semidirect
136. #11762682C22semidirect
137. #11762681C22semidirect
138. #11762680C22semidirect
139. #11762676C22semidirect
142. #11762670C22semidirect
143. #11762669C22semidirect
144. #11762669C22semidirect
145. #11762669C22semidirect
146. #11762669C22semidirect
148. #11762667C22semidirect
153. C4×#63225C22semidirect
154. #11762660C22semidirect
155. #11762660C22semidirect
156. C22⋊C4×Dic17C22semidirect
157. C22⋊C4×Dic17C22semidirect
158. C22⋊C4×Dic17C22semidirect
159. C22⋊C4×Dic17C22semidirect
160. C4×#63227C22semidirect
161. C4×#63227C22semidirect
162. C4×#63227C22semidirect
163. C4×C22⋊Dic17C22semidirect
164. C4×C22⋊Dic17C22semidirect
165. C4×C22⋊Dic17C22semidirect
167. #11762656C22semidirect
168. #11762656C22semidirect
169. #11762656C22semidirect
170. #11762654C22semidirect
171. #11762654C22semidirect
172. C2×#10587502C22semidirect
174. C2×C4×D4×C17C22semidirect
175. C2×C4×D4×C17C22semidirect
176. C17×#391C22semidirect
177. C17×#391C22semidirect
180. C17×#386C22semidirect
181. C17×#386C22semidirect
182. C17×#381C22semidirect
183. C17×#381C22semidirect
184. C17×#380C22semidirect
185. C4×C22⋊C4×C17C22semidirect
186. C2×C17×#95C22semidirect
187. C2×C17×#95C22semidirect
192. C2×#41×C17C2×C4semidirect
215. C2×D4×D17C2×C4semidirect
249. #10587633C2×C4semidirect
250. #10587632C2×C4semidirect
251. #10587625C2×C4semidirect
252. #10587625C2×C4semidirect
253. #10587623C2×C4semidirect
254. #10587623C2×C4semidirect
255. D4×Dic17C2×C4semidirect
256. #10587616C2×C4semidirect
257. #10587615C2×C4semidirect
258. #10587615C2×C4semidirect
262. C4×C22⋊D17C2×C4semidirect
265. C2×#63227C2×C4semidirect
266. C2×#63227C2×C4semidirect
761. #2339D17semidirect
872. C2×C4×D4C2×D17semidirect
873. C2×C4×D4C2×D17semidirect
886. #391C2×D17semidirect
887. #391C2×D17semidirect
960. #386C2×D17semidirect
961. #386C2×D17semidirect
974. #381C2×D17semidirect
975. #381C2×D17semidirect
982. #380C2×D17semidirect
1004. C4×C22⋊C4C2×D17semidirect
1008. C2×#95C2×D17semidirect
1009. C2×#95C2×D17semidirect
1027. C2×#41C4×D17semidirect
1211. C17#34492semidirect

Maximal subgroups

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

subgroupindex
C2×#117634472
#145319452
#145319432
#145319282
#145319222
#145318952
#145318292
#145318252
#145317722
#145317612
#145317222
#145317202
#145316362
#145316262
#145316022
#145315962
#145315742
#145315502
#145315392
#145314872
#145314502
#145314402
#145314382
#145314242
#145313812
#145313762
#145313582
C4×#105876252
#145312242
C2×#117627012
C17×#23392
#3449217