Finite Group Databasebeta

← #17197698

Subgroups — #17197698

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×#11763367C211yesmaximal, characteristic
2#14531942C211yesmaximal, characteristic, complemented
3#14531933C211yesmaximal, characteristic, complemented
4#14531922C211yesmaximal, characteristic, complemented
5#14531912C211yesmaximal, characteristic, complemented
6#14531826C211yesmaximal, characteristic, complemented
7#14531819C211yesmaximal, characteristic, complemented
8#14531783C211yesmaximal, characteristic, complemented
9#14531779C211yesmaximal, characteristic, complemented
10#14531773C211yesmaximal, characteristic, complemented
11#14531769C211yesmaximal, characteristic, complemented
12#14531764C211yesmaximal, characteristic, complemented
13#14531630C211yesmaximal, characteristic, complemented
14#14531626C211yesmaximal, characteristic, complemented
15#14531605C211yesmaximal, characteristic, complemented
16#14531602C211yesmaximal, characteristic, complemented
17#14531580C211yesmaximal, characteristic, complemented
18#14531573C211yesmaximal, characteristic, complemented
19#14531550C211yesmaximal, characteristic, complemented
20#14531546C211yesmaximal, characteristic, complemented
21#14531473C211yesmaximal, characteristic, complemented
22#14531470C211yesmaximal, characteristic, complemented
23#14531446C211yesmaximal, characteristic, complemented
24#14531441C211yesmaximal, characteristic, complemented
25#14531440C211yesmaximal, characteristic, complemented
26#14531437C211yesmaximal, characteristic, complemented
27#14531363C211yesmaximal, characteristic, complemented
28#14531289C211yesmaximal, characteristic, complemented
29#14531285C211yesmaximal, characteristic, complemented
30D17×#386C211yesmaximal, characteristic, complemented
31C17×#2377C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic, complemented
35#11763367C4116yescomplemented
36C2×#10587580C2211yescharacteristic
37C2×#10587580C2211yescharacteristic
38C2×#10587569C2211yescharacteristic
39C2×#10587569C2211yescharacteristic
40C2×#10587616C2211yescharacteristic
41C2×#10587625C2211yescharacteristic
42C2×#10587625C2211yescharacteristic
43C2×#10587568C2211yescharacteristic
44C2×#10587568C2211yescharacteristic
45C2×#10587623C2211yescharacteristic
46C2×#10587623C2211yescharacteristic
47C2×C4×D68C2211yescharacteristic
48C2×D4×Dic17C2211yescharacteristic, complemented
49C2×#10587579C2211yescharacteristic
50C2×#10587579C2211yescharacteristic, complemented
51C2×C4×C22⋊D17C2211yescharacteristic
52C2×#10587567C2211yescharacteristic
53C2×#10587567C2211yescharacteristic, complemented
54C2×#10587567C2211yescharacteristic, complemented
55C2×#10587612C2211yescharacteristic, complemented
56C2×#10587578C2211yescharacteristic, complemented
57C2×#10587558C2211yescharacteristic, complemented
58C2×#10587563C2211yescharacteristic, complemented
59C22×#63227C2211yescharacteristic
60C22×#63227C2211yescharacteristic, complemented
61C2×C22⋊C4×D17C2211yescharacteristic
62C2×C22⋊C4×D17C2211yescharacteristic
63C2×C22⋊C4×D17C2211yescharacteristic, complemented
64C2×C22⋊C4×D17C2211yescharacteristic, complemented
65#11762712C2211yescharacteristic, complemented
66#11762712C2211yescharacteristic, complemented
67#11762712C2211yescharacteristic, complemented
68#11762711C2211yescharacteristic
69#11762710C2211yescharacteristic
70#11762710C2211yescharacteristic, complemented
71#11762709C2211yescharacteristic
72#11762709C2211yescharacteristic
73#11762709C2211yescharacteristic, complemented
74#11762709C2211yescharacteristic, complemented
75#11762709C2211yescharacteristic, complemented
76#11762709C2211yescharacteristic, complemented
77#11762709C2211yescharacteristic, complemented
78#11762709C2211yescharacteristic, complemented
79#11762708C2211yescharacteristic, complemented
80#11762705C2211yescharacteristic, complemented
81#11762704C2211yescharacteristic, complemented
82#11762704C2211yescharacteristic, complemented
83#11762703C2211yescharacteristic, complemented
84#11762703C2211yescharacteristic, complemented
85#11762702C2211yescharacteristic, complemented
86#11762702C2211yescharacteristic, complemented
87#11762701C2211yescharacteristic, complemented
88#11762701C2211yescharacteristic, complemented
89#11762701C2211yescharacteristic, complemented
90#11762701C2211yescharacteristic, complemented
91#11762701C2211yescharacteristic, complemented
92#11762700C2211yescharacteristic, complemented
93#11762699C2211yescharacteristic, complemented
94#11762699C2211yescharacteristic, complemented
95#11762699C2211yescharacteristic, complemented
96#11762698C2211yescharacteristic, complemented
97#11762698C2211yescharacteristic, complemented
98#11762698C2211yescharacteristic, complemented
99#11762698C2211yescharacteristic, complemented
100#11762698C2211yescharacteristic, complemented
101#11762698C2211yescharacteristic, complemented
102#11762698C2211yescharacteristic, complemented
103#11762697C2211yescharacteristic, complemented
104#11762697C2211yescharacteristic, complemented
105#11762696C2211yescharacteristic, complemented
106#11762696C2211yescharacteristic, complemented
107#11762694C2211yescharacteristic, complemented
108#11762694C2211yescharacteristic, complemented
109#11762691C2211yescharacteristic, complemented
110#11762691C2211yescharacteristic, complemented
111#11762689C2211yescharacteristic, complemented
112#11762689C2211yescharacteristic, complemented
113#11762688C2211yescharacteristic
114#11762688C2211yescharacteristic, complemented
115#11762688C2211yescharacteristic, complemented
116#11762687C2211yescharacteristic
117#11762687C2211yescharacteristic
118#11762687C2211yescharacteristic
119#11762687C2211yescharacteristic
120#11762687C2211yescharacteristic, complemented
121#11762687C2211yescharacteristic, complemented
122#11762686C2211yescharacteristic
123#11762685C2211yescharacteristic
124#11762685C2211yescharacteristic
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#11762683C2211yescharacteristic, complemented
134#11762683C2211yescharacteristic, complemented
135#11762683C2211yescharacteristic, complemented
136#11762682C2211yescharacteristic, complemented
137#11762681C2211yescharacteristic, complemented
138#11762680C2211yescharacteristic, complemented
139#11762680C2211yescharacteristic, complemented
140#11762680C2211yescharacteristic, complemented
141#11762670C2211yescharacteristic, complemented
142#11762668C2211yescharacteristic, complemented
143#11762667C2211yescharacteristic, complemented
144#11762666C2211yescharacteristic, complemented
145#11762664C2211yescharacteristic
146#11762664C2211yescharacteristic
147#11762664C2211yescharacteristic, complemented
148#11762664C2211yescharacteristic, complemented
149#11762664C2211yescharacteristic, complemented
150#11762664C2211yescharacteristic, complemented
151C4⋊C4×Dic17C2211yescharacteristic, complemented
152C4⋊C4×Dic17C2211yescharacteristic, complemented
153C4×#63225C2211yescharacteristic, complemented
154C4×#63225C2211yescharacteristic, complemented
155C22⋊C4×Dic17C2211yescharacteristic, complemented
156C22⋊C4×Dic17C2211yescharacteristic, complemented
157C22⋊C4×Dic17C2211yescharacteristic, complemented
158C22⋊C4×Dic17C2211yescharacteristic, complemented
159C4×#63227C2211yescharacteristic, complemented
160C4×#63227C2211yescharacteristic, complemented
161C4×C22⋊Dic17C2211yescharacteristic, complemented
162C4×C22⋊Dic17C2211yescharacteristic, complemented
163#11762656C2211yescharacteristic, complemented
164#11762656C2211yescharacteristic, complemented
165#11762656C2211yescharacteristic, complemented
166#11762656C2211yescharacteristic, complemented
167#11762656C2211yescharacteristic, complemented
168#11762656C2211yescharacteristic, complemented
169#11762656C2211yescharacteristic, complemented
170#11762656C2211yescharacteristic, 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, complemented
181C17×#386C2211yescharacteristic, complemented
182C17×#386C2211yescharacteristic, complemented
183C17×#386C2211yescharacteristic, complemented
184C17×#385C2211yescharacteristic, complemented
185C17×#385C2211yescharacteristic, complemented
186C17×#381C2211yescharacteristic, complemented
187C17×#380C2211yescharacteristic, complemented
188C24×D17C2311yescharacteristic
189C24×D17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C23×Dic17C2311yescharacteristic
204C23×Dic17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C2×D4×D17—42no—
207C2×D4×D17—42no—
208C2×D4×D17—42no—
209C2×D4×D17—42no—
210C2×D4×D17C2×C418yescomplemented
211C2×D4×D17C2×C418yescomplemented
212C22×D68C2311yescharacteristic
213C22×D68C2311yescharacteristic
214C22×D68C2311yescharacteristic
215C22×C4×D17—42no—
216C22×C4×D17—42no—
217C22×C4×D17—42no—
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C17×#121C2×C418yescomplemented
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C4⋊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×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C22⋊C4×C17C2311yescharacteristic
246C2×C42×C17C2311yescharacteristic
247C2×C42×C17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260#10587625C2×C418yescomplemented
261#10587625C2×C418yescomplemented
262#10587623C2×C418yescomplemented
263#10587623C2×C418yescomplemented
264D4×Dic17—42no—
265#10587616C2×C418yescomplemented
266C4×C22⋊D17—42no—
267C2×#63227—42no—
268C2×#63227C2×C418yescomplemented
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
296C2×#63227C2311yescharacteristic
297C2×#63227C2311yescharacteristic
298C2×#63227C2311yescharacteristic
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301#10587612—42no—
302C2×C4⋊Dic17C2311yescharacteristic
303C2×C4⋊Dic17C2311yescharacteristic
304C2×C4⋊Dic17C2311yescharacteristic
305C2×C4⋊Dic17C2311yescharacteristic
306C2×C4⋊Dic17C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
311C2×#63225C2311yescharacteristic
312C2×#63225C2311yescharacteristic
313C2×#63225C2311yescharacteristic
314C2×#63225C2311yescharacteristic
315C2×#63225C2311yescharacteristic
316C2×#63225C2311yescharacteristic
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
331#10587580C2×C418yescomplemented
332#10587580C2×C418yescomplemented
333#10587579—42no—
334#10587579—42no—
335#10587578—42no—
336#10587569C2×C418yescomplemented
337#10587569C2×C418yescomplemented
338#10587568C2×C418yescomplemented
339#10587568C2×C418yescomplemented
340#10587567—42no—
341#10587567—42no—
342#10587567—42no—
343C22⋊C4×D17—42no—
344C22⋊C4×D17—42no—
345C22⋊C4×D17—42no—
346C22⋊C4×D17—42no—
347#10587563—42no—
348C4×D68—42no—
349#10587558—42no—
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359C17×#95C2311yescharacteristic
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×C17C2411yescharacteristic
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C23×D17—22no—
386C23×D17—22no—
387C23×D17—22no—
388C23×D17—22no—
389C23×D17—41no—
390C23×D17—41no—
391C23×D17—41no—
392C23×D17—41no—
393C23×D17—41no—
394C23×D17—41no—
395C23×D17—41no—
396C23×D17—41no—
397C23×D17—41no—
398C23×D17—41no—
399C23×D17—41no—
400C23×D17—41no—
401C23×D17—41no—
402C23×D17—41no—
403C23×D17C22×C414yes—
404C23×D17C22×C414yes—
405C23×D17C22×C414yescomplemented
406C23×D17C2411yescharacteristic
407C23×D17C2411yescharacteristic
408C23×D17C2411yescharacteristic
409C23×D17C2411yescharacteristic
410C2×D4×C17—41no—
411C2×D4×C17—41no—
412C2×D4×C17—41no—
413C2×D4×C17—41no—
414C2×D4×C17—41no—
415C2×D4×C17—41no—
416C2×D4×C17C22×C414yes—
417C2×D4×C17C22×C414yes—
418C2×D4×C17C22×C414yescomplemented
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×C414yescomplemented
428C22×C4×C17C2411yescharacteristic
429C22×C4×C17C2411yescharacteristic
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C22×C4×C17C2411yescharacteristic
439C22×C4×C17C2411yescharacteristic
440C2×C22⋊D17—22no—
441C2×C22⋊D17—22no—
442C2×C22⋊D17—41no—
443C2×C22⋊D17—41no—
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—
457C2×C22⋊D17C22×C414yescomplemented
458C22×Dic17—22no—
459C22×Dic17—22no—
460C22×Dic17—22no—
461C22×Dic17—41no—
462C22×Dic17—41no—
463C22×Dic17—41no—
464C22×Dic17—41no—
465C22×Dic17—41no—
466C22×Dic17C22×C414yescomplemented
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470C22×Dic17C2411yescharacteristic
471C22×Dic17C2411yescharacteristic
472C22×Dic17C2411yescharacteristic
473C22×Dic17C2411yescharacteristic
474C22×Dic17C2411yescharacteristic
475C22×Dic17C2411yescharacteristic
476C22×Dic17C2411yescharacteristic
477C22×Dic17C2411yescharacteristic
478C22×Dic17C2411yescharacteristic
479D4×D17—416no—
480D4×D17—416no—
481C2×D68—22no—
482C2×D68—22no—
483C2×D68—41no—
484C2×D68—41no—
485C2×D68—41no—
486C2×D68—41no—
487C2×D68C22×C414yes—
488C2×D68C22×C414yes—
489C2×D68C22×C414yes—
490C2×C4×D17—22no—
491C2×C4×D17—22no—
492C2×C4×D17—22no—
493C2×C4×D17—22no—
494C2×C4×D17—22no—
495C2×C4×D17—22no—
496C2×C4×D17—22no—
497C2×C4×D17—22no—
498C2×C4×D17—22no—
499C2×C4×D17—22no—
500C2×C4×D17—22no—
501C2×C4×D17—41no—
502C2×C4×D17—41no—
503C2×C4×D17—41no—
504C2×C4×D17—41no—
505C2×C4×D17—41no—
506C2×C4×D17—41no—
507C2×C4×D17—41no—
508C2×C4×D17—41no—
509C2×C4×D17—416no—
510C2×C4×D17—41no—
511C2×C4×D17—41no—
512C2×C4×D17—41no—
513C2×C4×D17—41no—
514C2×C4×D17—41no—
515C2×C4×D17—41no—
516C2×C4×D17—41no—
517C2×C4×D17—41no—
518C2×C4×D17—41no—
519C2×C4×D17C22×C414yes—
520C2×C4×D17C22×C414yescomplemented
521C4⋊C4×C17—41no—
522C4⋊C4×C17—41no—
523C4⋊C4×C17—41no—
524C4⋊C4×C17—41no—
525C4⋊C4×C17C22×C414yescomplemented
526C22⋊C4×C17—41no—
527C22⋊C4×C17—41no—
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×C17C22×C414yes—
537C22⋊C4×C17C22×C414yescomplemented
538C42×C17—41no—
539C42×C17—41no—
540C22⋊Dic17—22no—
541C22⋊Dic17—22no—
542C22⋊Dic17—22no—
543C22⋊Dic17—41no—
544C22⋊Dic17—41no—
545C22⋊Dic17—41no—
546C22⋊Dic17—41no—
547C22⋊Dic17—41no—
548C22⋊Dic17—41no—
549C22⋊Dic17—41no—
550C22⋊Dic17C22×C414yes—
551C22⋊Dic17C22×C414yescomplemented
552#63227—22no—
553#63227—22no—
554#63227—22no—
555#63227—22no—
556#63227—22no—
557#63227—22no—
558#63227—22no—
559#63227—41no—
560#63227—41no—
561#63227—41no—
562#63227—41no—
563#63227—41no—
564#63227—41no—
565#63227—41no—
566#63227—41no—
567#63227—41no—
568#63227—41no—
569#63227—41no—
570#63227—41no—
571#63227—41no—
572#63227—41no—
573#63227—41no—
574#63227—41no—
575#63227—41no—
576#63227C22×C414yes—
577#63227C22×C414yes—
578#63227C22×C414yes—
579#63227C22×C414yes—
580#63227C22×C414yescomplemented
581#63227C22×C414yescomplemented
582#63227C22×C414yescomplemented
583#63227C22×C414yescomplemented
584C4⋊Dic17—22no—
585C4⋊Dic17—41no—
586C4⋊Dic17—41no—
587C4⋊Dic17—41no—
588C4⋊Dic17C22×C414yescomplemented
589#63225—22no—
590#63225—41no—
591#63225—41no—
592#63225—41no—
593#63225—41no—
594#63225—41no—
595#63225—41no—
596#63225—41no—
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×C17C23×C412yes—
633C23×C17C23×C412yes—
634C23×C17C23×C412yes—
635C23×C17C2511yescharacteristic
636C22×D17—21no—
637C22×D17—21no—
638C22×D17—21no—
639C22×D17—21no—
640C22×D17—21no—
641C22×D17—21no—
642C22×D17—21no—
643C22×D17—21no—
644C22×D17—21no—
645C22×D17—21no—
646C22×D17—21no—
647C22×D17—21no—
648C22×D17—21no—
649C22×D17—21no—
650C22×D17—21no—
651C22×D17—21no—
652C22×D17—21no—
653C22×D17—21no—
654C22×D17—21no—
655C22×D17—21no—
656C22×D17—21no—
657C22×D17—21no—
658C22×D17—28no—
659C22×D17—28no—
660C22×D17—44no—
661C22×D17—44no—
662C22×D17—44no—
663C22×D17—44no—
664C22×D17—44no—
665C22×D17—44no—
666C22×D17—44no—
667C22×D17—44no—
668C22×D17—44no—
669C22×D17—44no—
670C22×D17—44no—
671C22×D17—82no—
672C22×D17—82no—
673C22×D17—82no—
674C22×D17—82no—
675C22×D17—82no—
676C22×D17—82no—
677C22×D17—82no—
678C22×D17—82no—
679C22×D17C23×C412yes—
680C22×D17C23×C412yes—
681C22×D17C23×C412yes—
682C22×D17C23×C412yes—
683C22×D17H(5,𝔽2)12yes—
684C22×D17H(5,𝔽2)12yes—
685D4×C17—44no—
686D4×C17—44no—
687D4×C17—44no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—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—21no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—44no—
721C2×C4×C17—44no—
722C2×C4×C17—82no—
723C2×C4×C17C23×C412yes—
724C2×C4×C17C23×C412yes—
725C2×C4×C17C23×C412yes—
726C2×C4×C17C23×C412yes—
727C22⋊D17—28no—
728C22⋊D17—44no—
729C22⋊D17—44no—
730C22⋊D17—44no—
731C22⋊D17—44no—
732C22⋊D17—44no—
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—44no—
764C2×Dic17—44no—
765C2×Dic17—82no—
766C2×Dic17C23×C412yes—
767C2×Dic17C23×C412yes—
768C2×Dic17C23×C412yes—
769C2×Dic17C23×C412yes—
770C2×Dic17H(5,𝔽2)12yes—
771C2×Dic17H(5,𝔽2)12yes—
772D68—28no—
773D68—44no—
774D68—44no—
775C4×D17—28no—
776C4×D17—44no—
777C4×D17—44no—
778C4×D17—44no—
779C4×D17—44no—
780C4×D17—44no—
781C4×D17—82no—
782C4×D17—82no—
783C4×D17—82no—
784C4×D17—82no—
785C2×#534—171no—
786#2377—171no—
787#2377D1711yescharacteristic, complemented
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⋊C4—171no—
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—41no—
826C22×C17—41no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17C24×C411yescharacteristic
838C22×C17C2×H(5,𝔽2)11yescharacteristic
839C22×C17C2×H(5,𝔽2)11yescharacteristic
840C22×C17C2×H(5,𝔽2)11yescharacteristic
841C22×C17C2×H(5,𝔽2)11yescharacteristic
842C22×C17#58511yescharacteristic
843C22×C17#58511yescharacteristic
844C2×D17—22no—
845C2×D17—22no—
846C2×D17—22no—
847C2×D17—22no—
848C2×D17—22no—
849C2×D17—22no—
850C2×D17—22no—
851C2×D17—22no—
852C2×D17—22no—
853C2×D17—22no—
854C2×D17—22no—
855C2×D17—22no—
856C2×D17—22no—
857C2×D17—22no—
858C2×D17—22no—
859C2×D17—416no—
860C2×D17—41no—
861C2×D17—41no—
862C2×D17—41no—
863C2×D17—41no—
864C2×D17—41no—
865C2×D17—41no—
866C2×D17—41no—
867C2×D17—41no—
868C2×D17—41no—
869C2×D17—41no—
870C2×D17—41no—
871C2×D17—41no—
872C2×D17—88no—
873C2×D17—88no—
874C2×D17#51814yes—
875C4×C17—22no—
876C4×C17—22no—
877C4×C17—22no—
878C4×C17—22no—
879C4×C17—41no—
880C4×C17—41no—
881C4×C17—41no—
882C4×C17—41no—
883C4×C17—41no—
884C4×C17—41no—
885C4×C17—41no—
886C4×C17—41no—
887Dic17—22no—
888Dic17—22no—
889Dic17—22no—
890Dic17—22no—
891Dic17—22no—
892Dic17—22no—
893Dic17—41no—
894Dic17—41no—
895Dic17—41no—
896Dic17—41no—
897Dic17—41no—
898Dic17—41no—
899C23×D4—171no—
900C23×D4—171no—
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×#121C2×D1711yescharacteristic
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×D4—171no—
922C2×C4×D4—171no—
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⋊C4—171no—
932C22×C22⋊C4—171no—
933#390—171no—
934#390—171no—
935#390—171no—
936#390—171no—
937#390—171no—
938#390—171no—
939#390—171no—
940#390—171no—
941#390—171no—
942#390—171no—
943#390—171no—
944#390—171no—
945#390—171no—
946#390—171no—
947#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#388C2×D1711yescharacteristic, complemented
976#388C2×D1711yescharacteristic, complemented
977#387—171no—
978#387—171no—
979#387—171no—
980#387—171no—
981#387—171no—
982#387—171no—
983#387C2×D1711yescharacteristic, complemented
984#387C2×D1711yescharacteristic, complemented
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, complemented
1006#386C2×D1711yescharacteristic, complemented
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#385C2×D1711yescharacteristic, complemented
1020#385C2×D1711yescharacteristic, complemented
1021#381—171no—
1022#381C2×D1711yescharacteristic, complemented
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#379—171no—
1032#379—171no—
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⋊C4—171no—
1053C2×#95—171no—
1054C2×#95—171no—
1055C2×C17—42no—
1056C2×C17—42no—
1057C2×C17—42no—
1058C2×C17C2×#51811yescharacteristic
1059C2×C17C4×H(5,𝔽2)11yescharacteristic
1060C2×C17C4×H(5,𝔽2)11yescharacteristic
1061C2×C17#353211yescharacteristic
1062C2×C17#353311yescharacteristic
1063C2×C17#354211yescharacteristic
1064C2×C17#354211yescharacteristic
1065D17—24no—
1066D17—42no—
1067D17—42no—
1068D17—42no—
1069C25—171no—
1070C25—171no—
1071C25—171no—
1072C22×D4—171no—
1073C22×D4—171no—
1074C22×D4—171no—
1075C22×D4—171no—
1076C22×D4—171no—
1077C22×D4—171no—
1078C22×D4—178no—
1079C22×D4—178no—
1080C22×D4—171no—
1081C22×D4—171no—
1082C22×D4—171no—
1083C22×D4—682no—
1084C22×D4—682no—
1085C22×D4—682no—
1086C22×D4—682no—
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—171no—
1102C23×C4—171no—
1103C23×C4—682no—
1104C23×C4—682no—
1105C23×C4—682no—
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#121C4×D1718yescomplemented
1117#120—178no—
1118#120—178no—
1119#120—178no—
1120#120—178no—
1121C4×D4—682no—
1122C4×D4—682no—
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⋊C4C22×D1711yescharacteristic
1149C2×C4⋊C4C22×D1711yescharacteristic
1150C2×C4⋊C4C22×D1711yescharacteristic
1151C2×C4⋊C4C22×D1711yescharacteristic
1152C2×C4⋊C4C22×D1711yescharacteristic
1153C2×C22⋊C4—171no—
1154C2×C22⋊C4—171no—
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—171no—
1197C2×C22⋊C4—171no—
1198C2×C22⋊C4—682no—
1199C2×C22⋊C4—682no—
1200C2×C22⋊C4—682no—
1201C2×C22⋊C4—682no—
1202C2×C22⋊C4—682no—
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#95C22×D1711yescharacteristic
1254#95C22×D1711yescharacteristic
1255#95C22×D1711yescharacteristic
1256#95C22×D1711yescharacteristic
1257#95C22×D1711yescharacteristic
1258#95C22×D1711yescharacteristic
1259#95C22×D1711yescharacteristic
1260#95C22×D1711yescharacteristic
1261#95C22×D1711yescharacteristic
1262#95C22×D1711yescharacteristic
1263C17#3440711yescharacteristic, complemented, Sylow
1264C24—171no—
1265C24—171no—
1266C24—171no—
1267C24—171no—
1268C24—174no—
1269C24—174no—
1270C24—174no—
1271C24—342no—
1272C24—342no—
1273C24—342no—
1274C24—342no—
1275C24—681no—
1276C24—681no—
1277C24—681no—
1278C24—681no—
1279C24—681no—
1280C24—681no—
1281C24—681no—
1282C24—681no—
1283C24—681no—
1284C24—681no—
1285C24—681no—
1286C24—681no—
1287C24—681no—
1288C24—681no—
1289C24C23×D1711yescharacteristic
1290C24C23×D1711yescharacteristic
1291C24C23×D1711yescharacteristic
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—174no—
1299C2×D4—174no—
1300C2×D4—174no—
1301C2×D4—174no—
1302C2×D4—174no—
1303C2×D4—174no—
1304C2×D4—174no—
1305C2×D4—174no—
1306C2×D4—174no—
1307C2×D4—342no—
1308C2×D4—342no—
1309C2×D4—342no—
1310C2×D4—342no—
1311C2×D4—681no—
1312C2×D4—681no—
1313C2×D4—681no—
1314C2×D4—681no—
1315C2×D4—6816no—
1316C2×D4—681no—
1317C2×D4—681no—
1318C2×D4—681no—
1319C2×D4—681no—
1320C2×D4—681no—
1321C2×D4—681no—
1322C2×D4—681no—
1323C2×D4—681no—
1324C2×D4—681no—
1325C2×D4—681no—
1326C2×D4—6816no—
1327C2×D4C2×C4×D1714yes—
1328C2×D4C2×C4×D1714yes—
1329C2×D4C2×C4×D1714yescomplemented
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—171no—
1339C22×C4—171no—
1340C22×C4—171no—
1341C22×C4—171no—
1342C22×C4—171no—
1343C22×C4—171no—
1344C22×C4—174no—
1345C22×C4—174no—
1346C22×C4—174no—
1347C22×C4—171no—
1348C22×C4—171no—
1349C22×C4—171no—
1350C22×C4—171no—
1351C22×C4—171no—
1352C22×C4—171no—
1353C22×C4—342no—
1354C22×C4—342no—
1355C22×C4—342no—
1356C22×C4—342no—
1357C22×C4—342no—
1358C22×C4—342no—
1359C22×C4—342no—
1360C22×C4—342no—
1361C22×C4—342no—
1362C22×C4—342no—
1363C22×C4—342no—
1364C22×C4—342no—
1365C22×C4—342no—
1366C22×C4—342no—
1367C22×C4—681no—
1368C22×C4—681no—
1369C22×C4—681no—
1370C22×C4—681no—
1371C22×C4—681no—
1372C22×C4—681no—
1373C22×C4—681no—
1374C22×C4—681no—
1375C22×C4—681no—
1376C22×C4—681no—
1377C22×C4—681no—
1378C22×C4—681no—
1379C22×C4—681no—
1380C22×C4—681no—
1381C22×C4—681no—
1382C22×C4—681no—
1383C22×C4—681no—
1384C22×C4—6816no—
1385C22×C4—681no—
1386C22×C4—681no—
1387C22×C4—681no—
1388C22×C4—681no—
1389C22×C4—681no—
1390C22×C4C2×C4×D1714yescomplemented
1391C22×C4C23×D1711yescharacteristic
1392C22×C4C23×D1711yescharacteristic
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—41no—
1406C4⋊C4—41no—
1407C4⋊C4—174no—
1408C4⋊C4—174no—
1409C4⋊C4—174no—
1410C4⋊C4—342no—
1411C4⋊C4—342no—
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⋊C4C2×C4×D1714yescomplemented
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—174no—
1434C22⋊C4—174no—
1435C22⋊C4—174no—
1436C22⋊C4—174no—
1437C22⋊C4—174no—
1438C22⋊C4—174no—
1439C22⋊C4—174no—
1440C22⋊C4—174no—
1441C22⋊C4—174no—
1442C22⋊C4—174no—
1443C22⋊C4—342no—
1444C22⋊C4—342no—
1445C22⋊C4—342no—
1446C22⋊C4—342no—
1447C22⋊C4—342no—
1448C22⋊C4—342no—
1449C22⋊C4—342no—
1450C22⋊C4—342no—
1451C22⋊C4—342no—
1452C22⋊C4—342no—
1453C22⋊C4—681no—
1454C22⋊C4—681no—
1455C22⋊C4—681no—
1456C22⋊C4—681no—
1457C22⋊C4—681no—
1458C22⋊C4—681no—
1459C22⋊C4—681no—
1460C22⋊C4—681no—
1461C22⋊C4—681no—
1462C22⋊C4—681no—
1463C22⋊C4—681no—
1464C22⋊C4—681no—
1465C22⋊C4—681no—
1466C22⋊C4—681no—
1467C22⋊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⋊C4C2×C4×D1714yes—
1478C22⋊C4C2×C4×D1714yescomplemented
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—172no—
1514C23—172no—
1515C23—172no—
1516C23—172no—
1517C23—172no—
1518C23—172no—
1519C23—348no—
1520C23—348no—
1521C23—341no—
1522C23—341no—
1523C23—341no—
1524C23—341no—
1525C23—341no—
1526C23—341no—
1527C23—341no—
1528C23—341no—
1529C23—341no—
1530C23—341no—
1531C23—341no—
1532C23—341no—
1533C23—341no—
1534C23—341no—
1535C23—341no—
1536C23—341no—
1537C23—341no—
1538C23—341no—
1539C23—341no—
1540C23—341no—
1541C23—341no—
1542C23—341no—
1543C23—684no—
1544C23—684no—
1545C23—684no—
1546C23—684no—
1547C23—684no—
1548C23—684no—
1549C23—684no—
1550C23—684no—
1551C23—684no—
1552C23—684no—
1553C23—684no—
1554C23—1362no—
1555C23—1362no—
1556C23—1362no—
1557C23—1362no—
1558C23—1362no—
1559C23—1362no—
1560C23—1362no—
1561C23—1362no—
1562C23C22×C4×D1712yes—
1563C23C22×C4×D1712yes—
1564C23C22×C4×D1712yes—
1565C23C24×D1711yescharacteristic
1566D4—44no—
1567D4—44no—
1568D4—44no—
1569D4—348no—
1570D4—348no—
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—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—82no—
1613C2×C4—172no—
1614C2×C4—172no—
1615C2×C4—172no—
1616C2×C4—172no—
1617C2×C4—172no—
1618C2×C4—172no—
1619C2×C4—348no—
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—684no—
1651C2×C4—684no—
1652C2×C4—684no—
1653C2×C4—684no—
1654C2×C4—684no—
1655C2×C4—684no—
1656C2×C4—684no—
1657C2×C4—1362no—
1658C2×C4—1362no—
1659C2×C4—1362no—
1660C2×C4—1362no—
1661C2×C4—1362no—
1662C2×C4C22×C4×D1712yes—
1663C2×C4C22×C4×D1712yes—
1664C2×C4C22×C4×D1712yes—
1665C2×C4C22×C4×D1712yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—174no—
1688C22—342no—
1689C22—342no—
1690C22—342no—
1691C22—342no—
1692C22—342no—
1693C22—342no—
1694C22—342no—
1695C22—342no—
1696C22—342no—
1697C22—342no—
1698C22—342no—
1699C22—342no—
1700C22—342no—
1701C22—342no—
1702C22—342no—
1703C22—6816no—
1704C22—681no—
1705C22—681no—
1706C22—681no—
1707C22—681no—
1708C22—681no—
1709C22—681no—
1710C22—681no—
1711C22—681no—
1712C22—681no—
1713C22—681no—
1714C22—681no—
1715C22—681no—
1716C22—1368no—
1717C22—1368no—
1718C22C23×C4×D1711yescharacteristic
1719C22H(5,𝔽2)×D1711yescharacteristic
1720C22H(5,𝔽2)×D1711yescharacteristic
1721C22H(5,𝔽2)×D1711yescharacteristic
1722C22H(5,𝔽2)×D1711yescharacteristic
1723C22#1176364411yescharacteristic
1724C22#1176364611yescharacteristic
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—342no—
1738C4—342no—
1739C4—342no—
1740C4—342no—
1741C4—342no—
1742C4—342no—
1743C4—681no—
1744C4—681no—
1745C4—681no—
1746C4—681no—
1747C4—681no—
1748C4—681no—
1749C2—42no—
1750C2—42no—
1751C2—42no—
1752C2—344no—
1753C2—682no—
1754C2—682no—
1755C2—682no—
1756C2D17×#51811yescharacteristic
1757C2#1454198811yescharacteristic
1758C2#1454199011yescharacteristic
1759C2#1454293711yescharacteristic
1760C2#1454294611yescharacteristic
1761C2#1454308911yescharacteristic
1762C2#1454309711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2377C2
socle, cosocleC23×C17C25
prime radicalC2×#11763367C2
hypercenter#2377D17
hypocenterC17#34407
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2377

Complements

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

NH ≅ G/Ntype
2. #14531942C2semidirect
3. #14531933C2semidirect
4. #14531922C2semidirect
5. #14531912C2semidirect
6. #14531826C2semidirect
7. #14531819C2semidirect
8. #14531783C2semidirect
9. #14531779C2semidirect
10. #14531773C2semidirect
11. #14531769C2semidirect
12. #14531764C2semidirect
13. #14531630C2semidirect
14. #14531626C2semidirect
15. #14531605C2semidirect
16. #14531602C2semidirect
17. #14531580C2semidirect
18. #14531573C2semidirect
19. #14531550C2semidirect
20. #14531546C2semidirect
21. #14531473C2semidirect
22. #14531470C2semidirect
23. #14531446C2semidirect
24. #14531441C2semidirect
25. #14531440C2semidirect
26. #14531437C2semidirect
27. #14531363C2semidirect
28. #14531289C2semidirect
29. #14531285C2semidirect
30. D17×#386C2semidirect
31. C17×#2377C2semidirect
34. C23×C4×D17C22semidirect
35. #11763367C4semidirect
48. C2×D4×Dic17C22semidirect
50. C2×#10587579C22semidirect
53. C2×#10587567C22semidirect
54. C2×#10587567C22semidirect
55. C2×#10587612C22semidirect
56. C2×#10587578C22semidirect
57. C2×#10587558C22semidirect
58. C2×#10587563C22semidirect
60. C22×#63227C22semidirect
63. C2×C22⋊C4×D17C22semidirect
64. C2×C22⋊C4×D17C22semidirect
65. #11762712C22semidirect
66. #11762712C22semidirect
67. #11762712C22semidirect
70. #11762710C22semidirect
73. #11762709C22semidirect
74. #11762709C22semidirect
75. #11762709C22semidirect
76. #11762709C22semidirect
77. #11762709C22semidirect
78. #11762709C22semidirect
79. #11762708C22semidirect
80. #11762705C22semidirect
81. #11762704C22semidirect
82. #11762704C22semidirect
83. #11762703C22semidirect
84. #11762703C22semidirect
85. #11762702C22semidirect
86. #11762702C22semidirect
87. #11762701C22semidirect
88. #11762701C22semidirect
89. #11762701C22semidirect
90. #11762701C22semidirect
91. #11762701C22semidirect
92. #11762700C22semidirect
93. #11762699C22semidirect
94. #11762699C22semidirect
95. #11762699C22semidirect
96. #11762698C22semidirect
97. #11762698C22semidirect
98. #11762698C22semidirect
99. #11762698C22semidirect
100. #11762698C22semidirect
101. #11762698C22semidirect
102. #11762698C22semidirect
103. #11762697C22semidirect
104. #11762697C22semidirect
105. #11762696C22semidirect
106. #11762696C22semidirect
107. #11762694C22semidirect
108. #11762694C22semidirect
109. #11762691C22semidirect
110. #11762691C22semidirect
111. #11762689C22semidirect
112. #11762689C22semidirect
114. #11762688C22semidirect
115. #11762688C22semidirect
120. #11762687C22semidirect
121. #11762687C22semidirect
125. #11762685C22semidirect
126. #11762685C22semidirect
127. #11762685C22semidirect
128. #11762685C22semidirect
129. #11762685C22semidirect
130. #11762685C22semidirect
131. #11762683C22semidirect
132. #11762683C22semidirect
133. #11762683C22semidirect
134. #11762683C22semidirect
135. #11762683C22semidirect
136. #11762682C22semidirect
137. #11762681C22semidirect
138. #11762680C22semidirect
139. #11762680C22semidirect
140. #11762680C22semidirect
141. #11762670C22semidirect
142. #11762668C22semidirect
143. #11762667C22semidirect
144. #11762666C22semidirect
147. #11762664C22semidirect
148. #11762664C22semidirect
149. #11762664C22semidirect
150. #11762664C22semidirect
151. C4⋊C4×Dic17C22semidirect
152. C4⋊C4×Dic17C22semidirect
153. C4×#63225C22semidirect
154. C4×#63225C22semidirect
155. C22⋊C4×Dic17C22semidirect
156. C22⋊C4×Dic17C22semidirect
157. C22⋊C4×Dic17C22semidirect
158. C22⋊C4×Dic17C22semidirect
159. C4×#63227C22semidirect
160. C4×#63227C22semidirect
161. C4×C22⋊Dic17C22semidirect
162. C4×C22⋊Dic17C22semidirect
163. #11762656C22semidirect
164. #11762656C22semidirect
165. #11762656C22semidirect
166. #11762656C22semidirect
167. #11762656C22semidirect
168. #11762656C22semidirect
169. #11762656C22semidirect
170. #11762656C22semidirect
171. #95×D17C22semidirect
172. #95×D17C22semidirect
174. C17×#390C22semidirect
175. C17×#390C22semidirect
176. C17×#388C22semidirect
177. C17×#388C22semidirect
178. C17×#387C22semidirect
179. C17×#387C22semidirect
180. C17×#386C22semidirect
181. C17×#386C22semidirect
182. C17×#386C22semidirect
183. C17×#386C22semidirect
184. C17×#385C22semidirect
185. C17×#385C22semidirect
186. C17×#381C22semidirect
187. C17×#380C22semidirect
210. C2×D4×D17C2×C4semidirect
211. C2×D4×D17C2×C4semidirect
228. C17×#121C2×C4semidirect
260. #10587625C2×C4semidirect
261. #10587625C2×C4semidirect
262. #10587623C2×C4semidirect
263. #10587623C2×C4semidirect
265. #10587616C2×C4semidirect
268. C2×#63227C2×C4semidirect
331. #10587580C2×C4semidirect
332. #10587580C2×C4semidirect
336. #10587569C2×C4semidirect
337. #10587569C2×C4semidirect
338. #10587568C2×C4semidirect
339. #10587568C2×C4semidirect
405. C23×D17C22×C4semidirect
418. C2×D4×C17C22×C4semidirect
427. C22×C4×C17C22×C4semidirect
457. C2×C22⋊D17C22×C4semidirect
466. C22×Dic17C22×C4semidirect
520. C2×C4×D17C22×C4semidirect
525. C4⋊C4×C17C22×C4semidirect
537. C22⋊C4×C17C22×C4semidirect
551. C22⋊Dic17C22×C4semidirect
580. #63227C22×C4semidirect
581. #63227C22×C4semidirect
582. #63227C22×C4semidirect
583. #63227C22×C4semidirect
588. C4⋊Dic17C22×C4semidirect
597. #63225C22×C4semidirect
598. #63225C22×C4semidirect
787. #2377D17semidirect
947. #390C2×D17semidirect
948. #390C2×D17semidirect
975. #388C2×D17semidirect
976. #388C2×D17semidirect
983. #387C2×D17semidirect
984. #387C2×D17semidirect
1005. #386C2×D17semidirect
1006. #386C2×D17semidirect
1007. #386C2×D17semidirect
1008. #386C2×D17semidirect
1019. #385C2×D17semidirect
1020. #385C2×D17semidirect
1022. #381C2×D17semidirect
1026. #380C2×D17semidirect
1116. #121C4×D17semidirect
1263. C17#34407semidirect
1329. C2×D4C2×C4×D17semidirect
1390. C22×C4C2×C4×D17semidirect
1422. C4⋊C4C2×C4×D17semidirect
1478. 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×#117633672
#145319422
#145319332
#145319222
#145319122
#145318262
#145318192
#145317832
#145317792
#145317732
#145317692
#145317642
#145316302
#145316262
#145316052
#145316022
#145315802
#145315732
#145315502
#145315462
#145314732
#145314702
#145314462
#145314412
#145314402
#145314372
#145313632
#145312892
#145312852
D17×#3862
C17×#23772
#3440717