Finite Group Databasebeta

← #17199677

Subgroups — #17199677

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×#11763456C211yesmaximal, characteristic
2#14531948C211yesmaximal, characteristic, complemented
3#14531926C211yesmaximal, characteristic, complemented
4#14531921C211yesmaximal, characteristic, complemented
5#14531893C211yesmaximal, characteristic, complemented
6#14531833C211yesmaximal, characteristic, complemented
7#14531827C211yesmaximal, characteristic, complemented
8#14531775C211yesmaximal, characteristic, complemented
9#14531764C211yesmaximal, characteristic, complemented
10#14531726C211yesmaximal, characteristic, complemented
11#14531723C211yesmaximal, characteristic, complemented
12#14531631C211yesmaximal, characteristic, complemented
13#14531631C211yesmaximal, characteristic, complemented
14#14531608C211yesmaximal, characteristic, complemented
15#14531602C211yesmaximal, characteristic, complemented
16#14531593C211yesmaximal, characteristic, complemented
17#14531569C211yesmaximal, characteristic, complemented
18#14531545C211yesmaximal, characteristic, complemented
19#14531536C211yesmaximal, characteristic, complemented
20#14531489C211yesmaximal, characteristic, complemented
21#14531451C211yesmaximal, characteristic, complemented
22#14531447C211yesmaximal, characteristic, complemented
23#14531443C211yesmaximal, characteristic, complemented
24#14531424C211yesmaximal, characteristic, complemented
25#14531378C211yesmaximal, characteristic, complemented
26#14531373C211yesmaximal, characteristic, complemented
27#14531358C211yesmaximal, characteristic, complemented
28#14531300C211yesmaximal, characteristic, complemented
29#14531222C211yesmaximal, characteristic, complemented
30D17×#388C211yesmaximal, characteristic, complemented
31C17×#2377C211yesmaximal, characteristic, complemented
32C22×#63252C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34#11763456C4116yescomplemented
35C2×#10587622C2211yescharacteristic
36C2×#10587569C2211yescharacteristic
37C2×#10587569C2211yescharacteristic
38C2×#10587583C2211yescharacteristic
39C2×#10587624C2211yescharacteristic
40C2×#10587624C2211yescharacteristic
41C2×#10587623C2211yescharacteristic
42C2×#10587623C2211yescharacteristic
43C2×D4×Dic17C2211yescharacteristic, complemented
44C2×D4×Dic17C2211yescharacteristic, complemented
45C2×#10587579C2211yescharacteristic
46C2×C4×C22⋊D17C2211yescharacteristic
47C2×C4×C22⋊D17C2211yescharacteristic
48C2×#10587567C2211yescharacteristic
49C2×#10587567C2211yescharacteristic, complemented
50C2×#10587567C2211yescharacteristic, complemented
51C2×#10587578C2211yescharacteristic, complemented
52C2×#10587578C2211yescharacteristic, complemented
53C2×C4⋊C4×D17C2211yescharacteristic, complemented
54C22×#63227C2211yescharacteristic
55C22×#63227C2211yescharacteristic
56C2×C22⋊C4×D17C2211yescharacteristic
57C2×C22⋊C4×D17C2211yescharacteristic
58C2×C22⋊C4×D17C2211yescharacteristic
59C2×C22⋊C4×D17C2211yescharacteristic
60C2×C42×D17C2211yescharacteristic, complemented
61#11762713C2211yescharacteristic, complemented
62#11762713C2211yescharacteristic, complemented
63#11762713C2211yescharacteristic, complemented
64#11762713C2211yescharacteristic, complemented
65#11762709C2211yescharacteristic
66#11762709C2211yescharacteristic
67#11762709C2211yescharacteristic
68#11762709C2211yescharacteristic
69#11762709C2211yescharacteristic, complemented
70#11762709C2211yescharacteristic, complemented
71#11762707C2211yescharacteristic, complemented
72#11762706C2211yescharacteristic, complemented
73#11762706C2211yescharacteristic, complemented
74#11762705C2211yescharacteristic, complemented
75#11762703C2211yescharacteristic, complemented
76#11762703C2211yescharacteristic, complemented
77#11762703C2211yescharacteristic, complemented
78#11762703C2211yescharacteristic, complemented
79#11762703C2211yescharacteristic, complemented
80#11762703C2211yescharacteristic, complemented
81#11762702C2211yescharacteristic, complemented
82#11762702C2211yescharacteristic, complemented
83#11762701C2211yescharacteristic
84#11762701C2211yescharacteristic
85#11762701C2211yescharacteristic
86#11762701C2211yescharacteristic
87#11762701C2211yescharacteristic, complemented
88#11762700C2211yescharacteristic
89#11762700C2211yescharacteristic
90#11762700C2211yescharacteristic, complemented
91#11762699C2211yescharacteristic
92#11762699C2211yescharacteristic
93#11762699C2211yescharacteristic
94#11762699C2211yescharacteristic
95#11762699C2211yescharacteristic, complemented
96#11762698C2211yescharacteristic
97#11762698C2211yescharacteristic
98#11762698C2211yescharacteristic, complemented
99#11762697C2211yescharacteristic, complemented
100#11762697C2211yescharacteristic, complemented
101#11762697C2211yescharacteristic, complemented
102#11762697C2211yescharacteristic, complemented
103#11762695C2211yescharacteristic, complemented
104#11762695C2211yescharacteristic, complemented
105#11762694C2211yescharacteristic, complemented
106#11762694C2211yescharacteristic, complemented
107#11762692C2211yescharacteristic, complemented
108#11762692C2211yescharacteristic, complemented
109#11762690C2211yescharacteristic, complemented
110#11762690C2211yescharacteristic, complemented
111#11762689C2211yescharacteristic
112#11762689C2211yescharacteristic
113#11762689C2211yescharacteristic, complemented
114#11762689C2211yescharacteristic, complemented
115#11762688C2211yescharacteristic
116#11762687C2211yescharacteristic
117#11762687C2211yescharacteristic
118#11762687C2211yescharacteristic
119#11762687C2211yescharacteristic
120#11762686C2211yescharacteristic
121#11762686C2211yescharacteristic
122#11762686C2211yescharacteristic
123#11762686C2211yescharacteristic, complemented
124#11762686C2211yescharacteristic, complemented
125#11762685C2211yescharacteristic
126#11762685C2211yescharacteristic
127#11762685C2211yescharacteristic, complemented
128#11762685C2211yescharacteristic, complemented
129#11762684C2211yescharacteristic, complemented
130#11762684C2211yescharacteristic, complemented
131#11762683C2211yescharacteristic, complemented
132#11762682C2211yescharacteristic, complemented
133#11762681C2211yescharacteristic, complemented
134#11762680C2211yescharacteristic, complemented
135#11762676C2211yescharacteristic, complemented
136#11762671C2211yescharacteristic
137#11762671C2211yescharacteristic
138#11762671C2211yescharacteristic, complemented
139#11762671C2211yescharacteristic, complemented
140#11762669C2211yescharacteristic, complemented
141#11762668C2211yescharacteristic
142#11762668C2211yescharacteristic, complemented
143#11762666C2211yescharacteristic, complemented
144#11762666C2211yescharacteristic, complemented
145#11762666C2211yescharacteristic, complemented
146#11762664C2211yescharacteristic
147#11762664C2211yescharacteristic
148#11762664C2211yescharacteristic
149#11762664C2211yescharacteristic
150C4⋊C4×Dic17C2211yescharacteristic, complemented
151C4×C4⋊Dic17C2211yescharacteristic, complemented
152#11762660C2211yescharacteristic, complemented
153C22⋊C4×Dic17C2211yescharacteristic, complemented
154C22⋊C4×Dic17C2211yescharacteristic, complemented
155C22⋊C4×Dic17C2211yescharacteristic, complemented
156C22⋊C4×Dic17C2211yescharacteristic, complemented
157C22⋊C4×Dic17C2211yescharacteristic, complemented
158C4×#63227C2211yescharacteristic, complemented
159C4×#63227C2211yescharacteristic, complemented
160C4×C22⋊Dic17C2211yescharacteristic, complemented
161C4×C22⋊Dic17C2211yescharacteristic, complemented
162C4×C22⋊Dic17C2211yescharacteristic, complemented
163#11762656C2211yescharacteristic
164#11762656C2211yescharacteristic, complemented
165#11762656C2211yescharacteristic, complemented
166#11762656C2211yescharacteristic, complemented
167#11762656C2211yescharacteristic, complemented
168#11762654C2211yescharacteristic, complemented
169#11762654C2211yescharacteristic, complemented
170C2×#10587502C2211yescharacteristic, complemented
171#95×D17C2211yescharacteristic, complemented
172#95×D17C2211yescharacteristic, complemented
173C2×C17×#121C2211yescharacteristic
174C17×#390C2211yescharacteristic, complemented
175C17×#390C2211yescharacteristic, complemented
176C17×#388C2211yescharacteristic, complemented
177C17×#388C2211yescharacteristic, complemented
178C17×#387C2211yescharacteristic, complemented
179C17×#387C2211yescharacteristic, complemented
180C17×#386C2211yescharacteristic
181C17×#386C2211yescharacteristic
182C17×#386C2211yescharacteristic, complemented
183C17×#386C2211yescharacteristic, complemented
184C17×#385C2211yescharacteristic, complemented
185C17×#385C2211yescharacteristic, complemented
186C17×#381C2211yescharacteristic, complemented
187C17×#380C2211yescharacteristic, complemented
188C24×D17C2311yescharacteristic
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C23×Dic17C2311yescharacteristic
202C23×Dic17C2311yescharacteristic
203C23×Dic17C2311yescharacteristic
204C23×Dic17C2311yescharacteristic
205C2×D4×D17—42no—
206C2×D4×D17—42no—
207C2×D4×D17C2×C418yescomplemented
208C2×#63252—42no—
209C2×#63252—42no—
210C2×#63252C2×C418yescomplemented
211C22×D68C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×Dic34C2311yescharacteristic
222C17×#121C2×C418yescomplemented
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C42×C17C2311yescharacteristic
241C2×C42×C17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255#10587624C2×C418yescomplemented
256#10587624C2×C418yescomplemented
257#10587623C2×C418yescomplemented
258#10587623C2×C418yescomplemented
259#10587622C2×C418yescomplemented
260D4×Dic17—42no—
261D4×Dic17—42no—
262C4×C22⋊D17—42no—
263C4×C22⋊D17C2×C418yescomplemented
264C2×#63227—42no—
265C2×#63227—42no—
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
288C2×#63227C2311yescharacteristic
289C2×#63227C2311yescharacteristic
290C2×#63227C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295C2×C4⋊Dic17C2311yescharacteristic
296C2×C4⋊Dic17C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×C4×Dic17C2311yescharacteristic
307C2×C4×Dic17C2311yescharacteristic
308C2×C4×Dic17C2311yescharacteristic
309C2×C4×Dic17C2311yescharacteristic
310C2×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321#10587583C2×C418yescomplemented
322#10587579C2×C418yescomplemented
323#10587578—42no—
324#10587578—42no—
325C4⋊C4×D17—42no—
326#10587569C2×C418yescomplemented
327#10587569C2×C418yescomplemented
328#10587567—42no—
329#10587567—42no—
330#10587567—42no—
331C22⋊C4×D17—42no—
332C22⋊C4×D17—42no—
333C22⋊C4×D17C2×C418yescomplemented
334C22⋊C4×D17C2×C418yescomplemented
335C42×D17—42no—
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
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
396C2×D4×C17—41no—
397C2×D4×C17—41no—
398C2×D4×C17—41no—
399C2×D4×C17—41no—
400C2×D4×C17—41no—
401C2×D4×C17—41no—
402C2×D4×C17C22×C414yes—
403C2×D4×C17C22×C414yes—
404C2×D4×C17C22×C414yes—
405C22×C4×C17—41no—
406C22×C4×C17—41no—
407C22×C4×C17—41no—
408C22×C4×C17—41no—
409C22×C4×C17—41no—
410C22×C4×C17—41no—
411C22×C4×C17—41no—
412C22×C4×C17—41no—
413C22×C4×C17C22×C414yes—
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
419C22×C4×C17C2411yescharacteristic
420C22×C4×C17C2411yescharacteristic
421C22×C4×C17C2411yescharacteristic
422C22×C4×C17C2411yescharacteristic
423C22×C4×C17C2411yescharacteristic
424C22×C4×C17C2411yescharacteristic
425C22×C4×C17C2411yescharacteristic
426C2×C22⋊D17—22no—
427C2×C22⋊D17—22no—
428C2×C22⋊D17—22no—
429C2×C22⋊D17—22no—
430C2×C22⋊D17—41no—
431C2×C22⋊D17—41no—
432C2×C22⋊D17—41no—
433C2×C22⋊D17—41no—
434C2×C22⋊D17—41no—
435C2×C22⋊D17—41no—
436C2×C22⋊D17C22×C414yes—
437C2×C22⋊D17C22×C414yes—
438C2×C22⋊D17C22×C414yes—
439C2×C22⋊D17C22×C414yes—
440C2×C22⋊D17C22×C414yes—
441C22×Dic17—22no—
442C22×Dic17—22no—
443C22×Dic17—41no—
444C22×Dic17—41no—
445C22×Dic17—41no—
446C22×Dic17—41no—
447C22×Dic17—41no—
448C22×Dic17—41no—
449C22×Dic17—41no—
450C22×Dic17—41no—
451C22×Dic17—41no—
452C22×Dic17—41no—
453C22×Dic17C2411yescharacteristic
454C22×Dic17C2411yescharacteristic
455C22×Dic17C2411yescharacteristic
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466D4×D17—416no—
467#63252—416no—
468C2×D68—22no—
469C2×D68—22no—
470C2×D68C22×C414yes—
471C2×C4×D17—22no—
472C2×C4×D17—22no—
473C2×C4×D17—22no—
474C2×C4×D17—22no—
475C2×C4×D17—22no—
476C2×C4×D17—22no—
477C2×C4×D17—22no—
478C2×C4×D17—41no—
479C2×C4×D17—41no—
480C2×C4×D17—41no—
481C2×C4×D17—41no—
482C2×C4×D17—41no—
483C2×C4×D17—41no—
484C2×C4×D17—41no—
485C2×C4×D17—41no—
486C2×C4×D17—41no—
487C2×C4×D17—41no—
488C2×C4×D17—41no—
489C2×C4×D17—41no—
490C2×C4×D17—41no—
491C2×C4×D17—41no—
492C2×C4×D17—41no—
493C2×C4×D17C22×C414yes—
494C2×C4×D17C22×C414yes—
495C2×C4×D17C22×C414yes—
496C2×C4×D17C22×C414yes—
497C2×C4×D17C22×C414yes—
498C2×Dic34—41no—
499C2×Dic34—41no—
500C2×Dic34C22×C414yes—
501C4⋊C4×C17—41no—
502C4⋊C4×C17—41no—
503C4⋊C4×C17—41no—
504C4⋊C4×C17—41no—
505C4⋊C4×C17C22×C414yes—
506C22⋊C4×C17—41no—
507C22⋊C4×C17—41no—
508C22⋊C4×C17—41no—
509C22⋊C4×C17—41no—
510C22⋊C4×C17—41no—
511C22⋊C4×C17—41no—
512C22⋊C4×C17—41no—
513C22⋊C4×C17—41no—
514C22⋊C4×C17—41no—
515C22⋊C4×C17—41no—
516C22⋊C4×C17C22×C414yes—
517C22⋊C4×C17C22×C414yes—
518C42×C17—41no—
519C42×C17—41no—
520C22⋊Dic17—22no—
521C22⋊Dic17—41no—
522C22⋊Dic17—41no—
523C22⋊Dic17—41no—
524C22⋊Dic17—41no—
525C22⋊Dic17—41no—
526C22⋊Dic17—41no—
527C22⋊Dic17—41no—
528C22⋊Dic17C22×C414yes—
529C22⋊Dic17C22×C414yes—
530C22⋊Dic17C22×C414yes—
531C22⋊Dic17C22×C414yes—
532C22⋊Dic17C22×C414yes—
533#63227—22no—
534#63227—22no—
535#63227—22no—
536#63227—22no—
537#63227—22no—
538#63227—22no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542#63227—41no—
543#63227—41no—
544#63227—41no—
545#63227—41no—
546#63227—41no—
547#63227—41no—
548#63227—41no—
549#63227—41no—
550#63227—41no—
551#63227—41no—
552#63227—41no—
553#63227C22×C414yes—
554#63227C22×C414yes—
555#63227C22×C414yes—
556#63227C22×C414yes—
557#63227C22×C414yes—
558C4⋊Dic17—22no—
559C4⋊Dic17—41no—
560C4⋊Dic17—41no—
561C4⋊Dic17—41no—
562C4⋊Dic17C22×C414yes—
563C4⋊Dic17C22×C414yes—
564#63225—41no—
565#63225—41no—
566#63225—41no—
567#63225—41no—
568#63225—41no—
569#63225—41no—
570#63225—41no—
571#63225—41no—
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×C17—21no—
606C23×C17—21no—
607C23×C17C23×C412yes—
608C23×C17C23×C412yes—
609C23×C17C23×C412yes—
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—28no—
628C22×D17—44no—
629C22×D17—44no—
630C22×D17—44no—
631C22×D17—44no—
632C22×D17—44no—
633C22×D17—82no—
634C22×D17—82no—
635C22×D17—82no—
636C22×D17—82no—
637C22×D17—82no—
638C22×D17—82no—
639C22×D17—82no—
640C22×D17—82no—
641C22×D17C23×C412yes—
642C22×D17C23×C412yes—
643C22×D17C23×C412yes—
644C22×D17H(5,𝔽2)12yes—
645C22×D17H(5,𝔽2)12yes—
646D4×C17—44no—
647D4×C17—44no—
648D4×C17—44no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—44no—
682C2×C4×C17—82no—
683C2×C4×C17—82no—
684C2×C4×C17C23×C412yes—
685C2×C4×C17C23×C412yes—
686C2×C4×C17C23×C412yes—
687C2×C4×C17C23×C412yes—
688C22⋊D17—28no—
689C22⋊D17—28no—
690C22⋊D17—44no—
691C22⋊D17—44no—
692C22⋊D17—44no—
693C2×Dic17—21no—
694C2×Dic17—21no—
695C2×Dic17—21no—
696C2×Dic17—21no—
697C2×Dic17—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—82no—
727C2×Dic17—82no—
728C2×Dic17—82no—
729C2×Dic17—82no—
730C2×Dic17C23×C412yes—
731C2×Dic17C23×C412yes—
732C2×Dic17C23×C412yes—
733C2×Dic17C23×C412yes—
734C2×Dic17C23×C412yes—
735C2×Dic17H(5,𝔽2)12yes—
736D68—28no—
737C4×D17—28no—
738C4×D17—44no—
739C4×D17—44no—
740C4×D17—44no—
741C4×D17—44no—
742C4×D17—44no—
743C4×D17—44no—
744C4×D17—82no—
745C4×D17—82no—
746Dic34—44no—
747C2×#546—171no—
748#2378—171no—
749#2377D1711yescharacteristic, complemented
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#2339—171no—
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—41no—
788C22×C17—41no—
789C22×C17—41no—
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—41no—
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—22no—
816C2×D17—22no—
817C2×D17—22no—
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—88no—
827C2×D17—88no—
828C2×D17#51814yes—
829C4×C17—22no—
830C4×C17—22no—
831C4×C17—22no—
832C4×C17—22no—
833C4×C17—41no—
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—22no—
847Dic17—41no—
848Dic17—41no—
849Dic17—41no—
850Dic17—41no—
851Dic17—41no—
852Dic17—41no—
853Dic17—41no—
854C22×#41—171no—
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×#121C2×D1711yescharacteristic
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×D4—171no—
873C2×C4×D4—171no—
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#391—171no—
887#391—171no—
888#390—171no—
889#390—171no—
890#390—171no—
891#390—171no—
892#390—171no—
893#390—171no—
894#390C2×D1711yescharacteristic, complemented
895#390C2×D1711yescharacteristic, complemented
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#388C2×D1711yescharacteristic, complemented
929#388C2×D1711yescharacteristic, complemented
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#387C2×D1711yescharacteristic, complemented
939#387C2×D1711yescharacteristic, complemented
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#385C2×D1711yescharacteristic, complemented
969#385C2×D1711yescharacteristic, complemented
970#383—171no—
971#381—171no—
972#381—171no—
973#381—171no—
974#381—171no—
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⋊C4—171no—
1005#376—171no—
1006#376—171no—
1007C2×#95—171no—
1008C2×#95—171no—
1009C2×#95—171no—
1010C2×C17—42no—
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—24no—
1021D17—42no—
1022D17—42no—
1023C25—171no—
1024C25—171no—
1025C2×#41—178no—
1026C2×#41—682no—
1027C2×#41—682no—
1028C22×Q8—171no—
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×C4—171no—
1051C23×C4—171no—
1052C23×C4—171no—
1053C23×C4—171no—
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#121C4×D1718yescomplemented
1064#120—178no—
1065#120—178no—
1066C4×D4—178no—
1067C4×D4—178no—
1068C4×D4—682no—
1069C4×D4—682no—
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—682no—
1092C2×C4⋊C4C22×D1711yescharacteristic
1093C2×C4⋊C4C22×D1711yescharacteristic
1094C2×C4⋊C4C22×D1711yescharacteristic
1095C2×C4⋊C4C22×D1711yescharacteristic
1096C2×C4⋊C4C22×D1711yescharacteristic
1097C2×C22⋊C4—171no—
1098C2×C22⋊C4—171no—
1099C2×C22⋊C4—171no—
1100C2×C22⋊C4—171no—
1101C2×C22⋊C4—171no—
1102C2×C22⋊C4—171no—
1103C2×C22⋊C4—171no—
1104C2×C22⋊C4—171no—
1105C2×C22⋊C4—171no—
1106C2×C22⋊C4—171no—
1107C2×C22⋊C4—178no—
1108C2×C22⋊C4—178no—
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—682no—
1138C2×C22⋊C4—682no—
1139C2×C22⋊C4—682no—
1140C2×C22⋊C4—682no—
1141C2×C22⋊C4C22×D1711yescharacteristic
1142C2×C22⋊C4C22×D1711yescharacteristic
1143C2×C22⋊C4C22×D1711yescharacteristic
1144C2×C22⋊C4C22×D1711yescharacteristic
1145C2×C22⋊C4C22×D1711yescharacteristic
1146C2×C22⋊C4C22×D1711yescharacteristic
1147C2×C22⋊C4C22×D1711yescharacteristic
1148C2×C22⋊C4C22×D1711yescharacteristic
1149C2×C22⋊C4C22×D1711yescharacteristic
1150C2×C22⋊C4C22×D1711yescharacteristic
1151C2×C22⋊C4C22×D1711yescharacteristic
1152C2×C22⋊C4C22×D1711yescharacteristic
1153C2×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#95—171no—
1200#95—171no—
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—6816no—
1233C2×Q8—174no—
1234C2×Q8—681no—
1235C2×Q8—681no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
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—342no—
1251C2×D4—342no—
1252C2×D4—342no—
1253C2×D4—342no—
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—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—171no—
1273C22×C4—171no—
1274C22×C4—171no—
1275C22×C4—171no—
1276C22×C4—171no—
1277C22×C4—171no—
1278C22×C4—174no—
1279C22×C4—174no—
1280C22×C4—174no—
1281C22×C4—174no—
1282C22×C4—174no—
1283C22×C4—171no—
1284C22×C4—171no—
1285C22×C4—171no—
1286C22×C4—171no—
1287C22×C4—171no—
1288C22×C4—171no—
1289C22×C4—171no—
1290C22×C4—342no—
1291C22×C4—342no—
1292C22×C4—342no—
1293C22×C4—342no—
1294C22×C4—342no—
1295C22×C4—342no—
1296C22×C4—342no—
1297C22×C4—342no—
1298C22×C4—342no—
1299C22×C4—681no—
1300C22×C4—681no—
1301C22×C4—681no—
1302C22×C4—681no—
1303C22×C4—681no—
1304C22×C4—681no—
1305C22×C4—681no—
1306C22×C4—681no—
1307C22×C4—681no—
1308C22×C4—681no—
1309C22×C4—681no—
1310C22×C4—681no—
1311C22×C4—681no—
1312C22×C4—681no—
1313C22×C4—681no—
1314C22×C4—681no—
1315C22×C4—681no—
1316C22×C4—681no—
1317C22×C4—681no—
1318C22×C4—681no—
1319C22×C4—681no—
1320C22×C4—681no—
1321C22×C4—681no—
1322C22×C4—681no—
1323C22×C4—681no—
1324C22×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—41no—
1340C4⋊C4—41no—
1341C4⋊C4—174no—
1342C4⋊C4—174no—
1343C4⋊C4—174no—
1344C4⋊C4—342no—
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⋊C4C2×C4×D1714yes—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
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—342no—
1382C22⋊C4—342no—
1383C22⋊C4—342no—
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⋊C4C2×C4×D1714yes—
1406C22⋊C4C2×C4×D1714yes—
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—21no—
1441C23—21no—
1442C23—172no—
1443C23—172no—
1444C23—172no—
1445C23—172no—
1446C23—172no—
1447C23—348no—
1448C23—341no—
1449C23—341no—
1450C23—341no—
1451C23—341no—
1452C23—341no—
1453C23—341no—
1454C23—341no—
1455C23—341no—
1456C23—341no—
1457C23—341no—
1458C23—341no—
1459C23—341no—
1460C23—341no—
1461C23—341no—
1462C23—341no—
1463C23—341no—
1464C23—684no—
1465C23—684no—
1466C23—684no—
1467C23—684no—
1468C23—684no—
1469C23—1362no—
1470C23—1362no—
1471C23—1362no—
1472C23—1362no—
1473C23—1362no—
1474C23—1362no—
1475C23—1362no—
1476C23—1362no—
1477C23C22×C4×D1712yes—
1478C23C22×C4×D1712yes—
1479C23C22×C4×D1712yes—
1480C23C24×D1711yescharacteristic
1481Q8—684no—
1482D4—44no—
1483D4—44no—
1484D4—44no—
1485D4—348no—
1486D4—348no—
1487D4—348no—
1488D4—684no—
1489D4—684no—
1490D4—684no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—44no—
1524C2×C4—82no—
1525C2×C4—82no—
1526C2×C4—172no—
1527C2×C4—172no—
1528C2×C4—172no—
1529C2×C4—172no—
1530C2×C4—172no—
1531C2×C4—172no—
1532C2×C4—348no—
1533C2×C4—341no—
1534C2×C4—341no—
1535C2×C4—341no—
1536C2×C4—341no—
1537C2×C4—341no—
1538C2×C4—341no—
1539C2×C4—341no—
1540C2×C4—341no—
1541C2×C4—341no—
1542C2×C4—341no—
1543C2×C4—341no—
1544C2×C4—341no—
1545C2×C4—341no—
1546C2×C4—341no—
1547C2×C4—341no—
1548C2×C4—341no—
1549C2×C4—341no—
1550C2×C4—341no—
1551C2×C4—341no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—341no—
1562C2×C4—341no—
1563C2×C4—341no—
1564C2×C4—341no—
1565C2×C4—341no—
1566C2×C4—684no—
1567C2×C4—684no—
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×C4—1362no—
1578C2×C4C22×C4×D1712yes—
1579C2×C4C22×C4×D1712yes—
1580C2×C4C22×C4×D1712yes—
1581C2×C4C22×C4×D1712yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—174no—
1604C22—342no—
1605C22—342no—
1606C22—342no—
1607C22—342no—
1608C22—342no—
1609C22—342no—
1610C22—342no—
1611C22—342no—
1612C22—342no—
1613C22—342no—
1614C22—342no—
1615C22—342no—
1616C22—681no—
1617C22—681no—
1618C22—681no—
1619C22—681no—
1620C22—681no—
1621C22—681no—
1622C22—681no—
1623C22—681no—
1624C22—1368no—
1625C22—1368no—
1626C22C23×C4×D1711yescharacteristic
1627C22H(5,𝔽2)×D1711yescharacteristic
1628C22H(5,𝔽2)×D1711yescharacteristic
1629C22H(5,𝔽2)×D1711yescharacteristic
1630C22#1176364411yescharacteristic
1631C22#1176364411yescharacteristic
1632C22#1176364611yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—41no—
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—342no—
1651C4—681no—
1652C4—681no—
1653C4—681no—
1654C4—681no—
1655C4—681no—
1656C4—681no—
1657C4—681no—
1658C2—42no—
1659C2—42no—
1660C2—42no—
1661C2—344no—
1662C2—682no—
1663C2—682no—
1664C2D17×#51811yescharacteristic
1665C2#1454198411yescharacteristic
1666C2#1454198811yescharacteristic
1667C2#1454297611yescharacteristic
1668C2#1454308911yescharacteristic
1669C2#1454313411yescharacteristic
1670C2#1454333411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2377C2
socle, cosocleC23×C17C25
prime radicalC2×#11763456C2
hypercenter#2377D17
hypocenterC17#34492
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2377

Complements

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

NH ≅ G/Ntype
2. #14531948C2semidirect
3. #14531926C2semidirect
4. #14531921C2semidirect
5. #14531893C2semidirect
6. #14531833C2semidirect
7. #14531827C2semidirect
8. #14531775C2semidirect
9. #14531764C2semidirect
10. #14531726C2semidirect
11. #14531723C2semidirect
12. #14531631C2semidirect
13. #14531631C2semidirect
14. #14531608C2semidirect
15. #14531602C2semidirect
16. #14531593C2semidirect
17. #14531569C2semidirect
18. #14531545C2semidirect
19. #14531536C2semidirect
20. #14531489C2semidirect
21. #14531451C2semidirect
22. #14531447C2semidirect
23. #14531443C2semidirect
24. #14531424C2semidirect
25. #14531378C2semidirect
26. #14531373C2semidirect
27. #14531358C2semidirect
28. #14531300C2semidirect
29. #14531222C2semidirect
30. D17×#388C2semidirect
31. C17×#2377C2semidirect
34. #11763456C4semidirect
43. C2×D4×Dic17C22semidirect
44. C2×D4×Dic17C22semidirect
49. C2×#10587567C22semidirect
50. C2×#10587567C22semidirect
51. C2×#10587578C22semidirect
52. C2×#10587578C22semidirect
53. C2×C4⋊C4×D17C22semidirect
60. C2×C42×D17C22semidirect
61. #11762713C22semidirect
62. #11762713C22semidirect
63. #11762713C22semidirect
64. #11762713C22semidirect
69. #11762709C22semidirect
70. #11762709C22semidirect
71. #11762707C22semidirect
72. #11762706C22semidirect
73. #11762706C22semidirect
74. #11762705C22semidirect
75. #11762703C22semidirect
76. #11762703C22semidirect
77. #11762703C22semidirect
78. #11762703C22semidirect
79. #11762703C22semidirect
80. #11762703C22semidirect
81. #11762702C22semidirect
82. #11762702C22semidirect
87. #11762701C22semidirect
90. #11762700C22semidirect
95. #11762699C22semidirect
98. #11762698C22semidirect
99. #11762697C22semidirect
100. #11762697C22semidirect
101. #11762697C22semidirect
102. #11762697C22semidirect
103. #11762695C22semidirect
104. #11762695C22semidirect
105. #11762694C22semidirect
106. #11762694C22semidirect
107. #11762692C22semidirect
108. #11762692C22semidirect
109. #11762690C22semidirect
110. #11762690C22semidirect
113. #11762689C22semidirect
114. #11762689C22semidirect
123. #11762686C22semidirect
124. #11762686C22semidirect
127. #11762685C22semidirect
128. #11762685C22semidirect
129. #11762684C22semidirect
130. #11762684C22semidirect
131. #11762683C22semidirect
132. #11762682C22semidirect
133. #11762681C22semidirect
134. #11762680C22semidirect
135. #11762676C22semidirect
138. #11762671C22semidirect
139. #11762671C22semidirect
140. #11762669C22semidirect
142. #11762668C22semidirect
143. #11762666C22semidirect
144. #11762666C22semidirect
145. #11762666C22semidirect
150. C4⋊C4×Dic17C22semidirect
151. C4×C4⋊Dic17C22semidirect
152. #11762660C22semidirect
153. C22⋊C4×Dic17C22semidirect
154. C22⋊C4×Dic17C22semidirect
155. C22⋊C4×Dic17C22semidirect
156. C22⋊C4×Dic17C22semidirect
157. C22⋊C4×Dic17C22semidirect
158. C4×#63227C22semidirect
159. C4×#63227C22semidirect
160. C4×C22⋊Dic17C22semidirect
161. C4×C22⋊Dic17C22semidirect
162. C4×C22⋊Dic17C22semidirect
164. #11762656C22semidirect
165. #11762656C22semidirect
166. #11762656C22semidirect
167. #11762656C22semidirect
168. #11762654C22semidirect
169. #11762654C22semidirect
170. C2×#10587502C22semidirect
171. #95×D17C22semidirect
172. #95×D17C22semidirect
174. C17×#390C22semidirect
175. C17×#390C22semidirect
176. C17×#388C22semidirect
177. C17×#388C22semidirect
178. C17×#387C22semidirect
179. C17×#387C22semidirect
182. C17×#386C22semidirect
183. C17×#386C22semidirect
184. C17×#385C22semidirect
185. C17×#385C22semidirect
186. C17×#381C22semidirect
187. C17×#380C22semidirect
207. C2×D4×D17C2×C4semidirect
210. C2×#63252C2×C4semidirect
222. C17×#121C2×C4semidirect
255. #10587624C2×C4semidirect
256. #10587624C2×C4semidirect
257. #10587623C2×C4semidirect
258. #10587623C2×C4semidirect
259. #10587622C2×C4semidirect
263. C4×C22⋊D17C2×C4semidirect
321. #10587583C2×C4semidirect
322. #10587579C2×C4semidirect
326. #10587569C2×C4semidirect
327. #10587569C2×C4semidirect
333. C22⋊C4×D17C2×C4semidirect
334. C22⋊C4×D17C2×C4semidirect
749. #2377D17semidirect
894. #390C2×D17semidirect
895. #390C2×D17semidirect
928. #388C2×D17semidirect
929. #388C2×D17semidirect
938. #387C2×D17semidirect
939. #387C2×D17semidirect
960. #386C2×D17semidirect
961. #386C2×D17semidirect
968. #385C2×D17semidirect
969. #385C2×D17semidirect
975. #381C2×D17semidirect
982. #380C2×D17semidirect
1063. #121C4×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×#117634562
#145319482
#145319262
#145319212
#145318932
#145318332
#145318272
#145317752
#145317642
#145317262
#145317232
#145316312
#145316082
#145316022
#145315932
#145315692
#145315452
#145315362
#145314892
#145314512
#145314472
#145314432
#145314242
#145313782
#145313732
#145313582
#145313002
#145312222
D17×#3882
C17×#23772
#3449217