Finite Group Databasebeta

← #17199730

Subgroups — #17199730

Order 4352.

2600 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763446C211yesmaximal, characteristic
2#14531933C211yesmaximal, characteristic, complemented
3#14531930C211yesmaximal, characteristic, complemented
4#14531925C211yesmaximal, characteristic, complemented
5#14531922C211yesmaximal, characteristic, complemented
6#14531852C211yesmaximal, characteristic, complemented
7#14531819C211yesmaximal, characteristic, complemented
8#14531818C211yesmaximal, characteristic, complemented
9#14531814C211yesmaximal, characteristic, complemented
10#14531801C211yesmaximal, characteristic, complemented
11#14531754C211yesmaximal, characteristic, complemented
12#14531711C211yesmaximal, characteristic, complemented
13#14531632C211yesmaximal, characteristic, complemented
14#14531629C211yesmaximal, characteristic, complemented
15#14531623C211yesmaximal, characteristic, complemented
16C22⋊C4×C22⋊D17C211yesmaximal, characteristic, complemented
17#14531576C211yesmaximal, characteristic, complemented
18#14531567C211yesmaximal, characteristic, complemented
19#14531550C211yesmaximal, characteristic, complemented
20#14531545C211yesmaximal, characteristic, complemented
21#14531474C211yesmaximal, characteristic, complemented
22#14531459C211yesmaximal, characteristic, complemented
23#14531443C211yesmaximal, characteristic, complemented
24#14531380C211yesmaximal, characteristic, complemented
25#14531378C211yesmaximal, characteristic, complemented
26#14531371C211yesmaximal, characteristic, complemented
27#14531365C211yesmaximal, characteristic, complemented
28C4×#10587571C211yesmaximal, characteristic, complemented
29#14531246C211yesmaximal, characteristic, complemented
30#14531244C211yesmaximal, characteristic, complemented
31C17×#2321C211yesmaximal, characteristic, complemented
32C22×#63254C2211yescharacteristic
33C23×C22⋊D17C2211yescharacteristic
34#11763446C4116yescomplemented
35C2×#10587571C2211yescharacteristic
36C2×#10587572C2211yescharacteristic
37C2×#10587569C2211yescharacteristic
38C2×#10587564C2211yescharacteristic
39C2×#10587625C2211yescharacteristic
40C2×#10587625C2211yescharacteristic
41C2×#10587624C2211yescharacteristic
42C2×#10587623C2211yescharacteristic
43C2×C4×Dic34C2211yescharacteristic, complemented
44C2×#10587573C2211yescharacteristic, complemented
45C2×D4×Dic17C2211yescharacteristic
46C2×C4×C22⋊D17C2211yescharacteristic
47C2×C4×C22⋊D17C2211yescharacteristic
48C2×#10587567C2211yescharacteristic
49C2×#10587567C2211yescharacteristic, complemented
50C2×#10587578C2211yescharacteristic, complemented
51C2×#10587563C2211yescharacteristic
52C2×#10587563C2211yescharacteristic
53C2×#10587563C2211yescharacteristic, complemented
54C2×#10587563C2211yescharacteristic, complemented
55C22×#63225C2211yescharacteristic, complemented
56C22×C22⋊Dic17C2211yescharacteristic
57C2×C22⋊C4×D17C2211yescharacteristic
58C2×C22⋊C4×D17C2211yescharacteristic
59#11762713C2211yescharacteristic, complemented
60#11762713C2211yescharacteristic, complemented
61#11762712C2211yescharacteristic
62#11762712C2211yescharacteristic, complemented
63#11762712C2211yescharacteristic, complemented
64#11762709C2211yescharacteristic
65#11762709C2211yescharacteristic
66#11762709C2211yescharacteristic
67#11762709C2211yescharacteristic
68#11762709C2211yescharacteristic
69#11762709C2211yescharacteristic
70#11762709C2211yescharacteristic
71#11762709C2211yescharacteristic
72#11762709C2211yescharacteristic
73#11762709C2211yescharacteristic
74#11762709C2211yescharacteristic, complemented
75#11762709C2211yescharacteristic, complemented
76#11762709C2211yescharacteristic, complemented
77#11762707C2211yescharacteristic, complemented
78#11762707C2211yescharacteristic, complemented
79#11762706C2211yescharacteristic, complemented
80#11762705C2211yescharacteristic, complemented
81#11762704C2211yescharacteristic, complemented
82#11762704C2211yescharacteristic, complemented
83#11762703C2211yescharacteristic
84#11762703C2211yescharacteristic
85#11762703C2211yescharacteristic
86#11762703C2211yescharacteristic
87#11762703C2211yescharacteristic
88#11762703C2211yescharacteristic
89#11762703C2211yescharacteristic, complemented
90#11762702C2211yescharacteristic
91#11762702C2211yescharacteristic
92#11762702C2211yescharacteristic, complemented
93#11762702C2211yescharacteristic, complemented
94#11762702C2211yescharacteristic, complemented
95#11762702C2211yescharacteristic, complemented
96#11762701C2211yescharacteristic, complemented
97#11762701C2211yescharacteristic, complemented
98#11762701C2211yescharacteristic, complemented
99#11762700C2211yescharacteristic, complemented
100#11762700C2211yescharacteristic, complemented
101#11762699C2211yescharacteristic, complemented
102#11762699C2211yescharacteristic, complemented
103#11762698C2211yescharacteristic, complemented
104#11762698C2211yescharacteristic, complemented
105#11762698C2211yescharacteristic, complemented
106#11762697C2211yescharacteristic
107#11762697C2211yescharacteristic
108#11762697C2211yescharacteristic, complemented
109#11762697C2211yescharacteristic, complemented
110#11762697C2211yescharacteristic, complemented
111#11762697C2211yescharacteristic, complemented
112#11762697C2211yescharacteristic, complemented
113#11762696C2211yescharacteristic, complemented
114#11762694C2211yescharacteristic, complemented
115#11762694C2211yescharacteristic, complemented
116#11762692C2211yescharacteristic, complemented
117#11762692C2211yescharacteristic, complemented
118#11762691C2211yescharacteristic, complemented
119#11762689C2211yescharacteristic
120#11762689C2211yescharacteristic, complemented
121#11762689C2211yescharacteristic, complemented
122#11762688C2211yescharacteristic
123#11762688C2211yescharacteristic
124#11762688C2211yescharacteristic, complemented
125#11762688C2211yescharacteristic, complemented
126#11762686C2211yescharacteristic, complemented
127#11762685C2211yescharacteristic
128#11762685C2211yescharacteristic
129#11762685C2211yescharacteristic, complemented
130#11762683C2211yescharacteristic, complemented
131#11762682C2211yescharacteristic, complemented
132#11762682C2211yescharacteristic, complemented
133#11762680C2211yescharacteristic, complemented
134#11762680C2211yescharacteristic, complemented
135#11762673C2211yescharacteristic, complemented
136#11762671C2211yescharacteristic, complemented
137#11762670C2211yescharacteristic, complemented
138#11762668C2211yescharacteristic, complemented
139#11762668C2211yescharacteristic, complemented
140#11762667C2211yescharacteristic
141#11762667C2211yescharacteristic, complemented
142#11762667C2211yescharacteristic, complemented
143#11762667C2211yescharacteristic, complemented
144#11762667C2211yescharacteristic, complemented
145#11762666C2211yescharacteristic, complemented
146#11762665C2211yescharacteristic
147#11762665C2211yescharacteristic
148#11762664C2211yescharacteristic
149#11762664C2211yescharacteristic
150#11762664C2211yescharacteristic
151C4⋊C4×Dic17C2211yescharacteristic, complemented
152C4⋊C4×Dic17C2211yescharacteristic, complemented
153C4×#63225C2211yescharacteristic, complemented
154C4×#63225C2211yescharacteristic, complemented
155#11762660C2211yescharacteristic, complemented
156#11762660C2211yescharacteristic, complemented
157C22⋊C4×Dic17C2211yescharacteristic
158C22⋊C4×Dic17C2211yescharacteristic, complemented
159C22⋊C4×Dic17C2211yescharacteristic, complemented
160C22⋊C4×Dic17C2211yescharacteristic, complemented
161C22⋊C4×Dic17C2211yescharacteristic, complemented
162C22⋊C4×Dic17C2211yescharacteristic, complemented
163C4×#63227C2211yescharacteristic, complemented
164C4×#63227C2211yescharacteristic, complemented
165C4×#63227C2211yescharacteristic, complemented
166C4×#63227C2211yescharacteristic, complemented
167C4×C22⋊Dic17C2211yescharacteristic, complemented
168C4×C22⋊Dic17C2211yescharacteristic, complemented
169C4×C22⋊Dic17C2211yescharacteristic, complemented
170#11762656C2211yescharacteristic, complemented
171#11762656C2211yescharacteristic, complemented
172C42×Dic17C2211yescharacteristic, complemented
173C2×C17×#120C2211yescharacteristic
174C2×C4×D4×C17C2211yescharacteristic, complemented
175C22×C22⋊C4×C17C2211yescharacteristic
176C17×#390C2211yescharacteristic
177C17×#390C2211yescharacteristic, complemented
178C17×#388C2211yescharacteristic
179C17×#388C2211yescharacteristic
180C17×#388C2211yescharacteristic, complemented
181C17×#388C2211yescharacteristic, complemented
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic, complemented
184C17×#386C2211yescharacteristic, complemented
185C17×#385C2211yescharacteristic, complemented
186C17×#379C2211yescharacteristic
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C25×C17C2311yescharacteristic
189C24×D17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C22×C22⋊D17—42no—
197C22×C22⋊D17—42no—
198C22×C22⋊D17C2×C418yescomplemented
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C23×Dic17C2311yescharacteristic
207C23×Dic17C2311yescharacteristic
208C23×Dic17C2311yescharacteristic
209C23×Dic17C2311yescharacteristic
210C2×#63254—42no—
211C2×#63254—42no—
212C2×#63254C2×C418yescomplemented
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×Dic34C2311yescharacteristic
218C17×#120C2×C418yescomplemented
219C4×D4×C17—42no—
220C2×C4⋊C4×C17C2311yescharacteristic
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C22⋊C4×C17—42no—
224C2×C22⋊C4×C17C2311yescharacteristic
225C2×C22⋊C4×C17C2311yescharacteristic
226C2×C22⋊C4×C17C2311yescharacteristic
227C2×C22⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×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×C42×C17C2311yescharacteristic
243C2×C22⋊Dic17C2×C418yescomplemented
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
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264#10587625C2×C418yes—
265#10587625C2×C418yescomplemented
266#10587624C2×C418yescomplemented
267#10587623C2×C418yescomplemented
268D4×Dic17C2×C418yescomplemented
269C4×C22⋊D17—42no—
270C4×C22⋊D17—42no—
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×C4⋊Dic17C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×#63225—42no—
295C2×#63225C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×#63225C2311yescharacteristic
310C2×#63225C2311yescharacteristic
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
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324C2×C4×Dic17C2311yescharacteristic
325C2×C4×Dic17C2311yescharacteristic
326C2×C4×Dic17C2311yescharacteristic
327C2×C4×Dic17C2311yescharacteristic
328C2×C4×Dic17C2311yescharacteristic
329#10587578—42no—
330#10587573—42no—
331#10587572C2×C418yescomplemented
332#10587571C2×C418yescomplemented
333#10587569C2×C418yescomplemented
334#10587567—42no—
335#10587567C2×C418yescomplemented
336C22⋊C4×D17—42no—
337C22⋊C4×D17C2×C418yescomplemented
338#10587564C2×C418yescomplemented
339#10587563—42no—
340#10587563—42no—
341#10587563—42no—
342#10587563—42no—
343C4×Dic34—42no—
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
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×C17—41no—
377C24×C17—41no—
378C24×C17—41no—
379C24×C17—41no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17C22×C414yes—
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C23×D17—41no—
388C23×D17—41no—
389C23×D17—41no—
390C23×D17—41no—
391C23×D17—41no—
392C23×D17—41no—
393C23×D17C22×C414yes—
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—22no—
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×C17—41no—
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
425C2×C22⋊D17—22no—
426C2×C22⋊D17—22no—
427C2×C22⋊D17—22no—
428C2×C22⋊D17—22no—
429C2×C22⋊D17—416no—
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⋊D17—41no—
437C2×C22⋊D17—41no—
438C2×C22⋊D17C22×C414yes—
439C2×C22⋊D17C22×C414yes—
440C2×C22⋊D17C22×C414yes—
441C2×C22⋊D17C22×C414yes—
442C2×C22⋊D17C22×C414yes—
443C2×C22⋊D17C22×C414yes—
444C22×Dic17—22no—
445C22×Dic17—22no—
446C22×Dic17—22no—
447C22×Dic17—22no—
448C22×Dic17—41no—
449C22×Dic17—41no—
450C22×Dic17—41no—
451C22×Dic17—41no—
452C22×Dic17—41no—
453C22×Dic17—41no—
454C22×Dic17—41no—
455C22×Dic17C22×C414yes—
456C22×Dic17C22×C414yes—
457C22×Dic17C22×C414yes—
458C22×Dic17C22×C414yes—
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469C22×Dic17C2411yescharacteristic
470C22×Dic17C2411yescharacteristic
471C22×Dic17C2411yescharacteristic
472C22×Dic17C2411yescharacteristic
473#63254—416no—
474C2×C4×D17—22no—
475C2×C4×D17—41no—
476C2×C4×D17—41no—
477C2×C4×D17—41no—
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×D17C22×C414yes—
485C2×C4×D17C22×C414yes—
486C2×Dic34—22no—
487C2×Dic34—22no—
488C2×Dic34C22×C414yes—
489C4⋊C4×C17—22no—
490C4⋊C4×C17—41no—
491C4⋊C4×C17—41no—
492C22⋊C4×C17—22no—
493C22⋊C4×C17—22no—
494C22⋊C4×C17—22no—
495C22⋊C4×C17—41no—
496C22⋊C4×C17—41no—
497C22⋊C4×C17—41no—
498C22⋊C4×C17—41no—
499C22⋊C4×C17—41no—
500C22⋊C4×C17—41no—
501C22⋊C4×C17—41no—
502C22⋊C4×C17—41no—
503C22⋊C4×C17—41no—
504C22⋊C4×C17—41no—
505C22⋊C4×C17C22×C414yes—
506C22⋊C4×C17C22×C414yes—
507C22⋊C4×C17C22×C414yes—
508C42×C17—41no—
509C42×C17—41no—
510C42×C17—41no—
511C22⋊Dic17—41no—
512C22⋊Dic17—41no—
513C22⋊Dic17—41no—
514C22⋊Dic17—41no—
515C22⋊Dic17—41no—
516C22⋊Dic17—41no—
517C22⋊Dic17—41no—
518C22⋊Dic17—41no—
519C22⋊Dic17—41no—
520C22⋊Dic17—41no—
521C22⋊Dic17—41no—
522C22⋊Dic17—41no—
523C22⋊Dic17—41no—
524C22⋊Dic17—41no—
525C22⋊Dic17—41no—
526C22⋊Dic17C22×C414yes—
527C22⋊Dic17C22×C414yes—
528C22⋊Dic17C22×C414yes—
529C22⋊Dic17C22×C414yes—
530C22⋊Dic17C22×C414yes—
531#63227—22no—
532#63227—41no—
533#63227—41no—
534#63227—41no—
535#63227—41no—
536#63227—41no—
537#63227—41no—
538#63227—41no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542#63227—41no—
543#63227—41no—
544#63227—41no—
545#63227C22×C414yes—
546#63227C22×C414yes—
547#63227C22×C414yes—
548#63227C22×C414yes—
549C4⋊Dic17—41no—
550C4⋊Dic17—41no—
551C4⋊Dic17—41no—
552C4⋊Dic17C22×C414yes—
553C4⋊Dic17C22×C414yes—
554#63225—22no—
555#63225—22no—
556#63225—22no—
557#63225—22no—
558#63225—22no—
559#63225—41no—
560#63225—41no—
561#63225—41no—
562#63225—41no—
563#63225—41no—
564#63225—41no—
565#63225—41no—
566#63225—41no—
567#63225—41no—
568#63225C22×C414yes—
569#63225C22×C414yes—
570C4×Dic17—22no—
571C4×Dic17—22no—
572C4×Dic17—22no—
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#34495—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×C17—21no—
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—44no—
614C23×C17—44no—
615C23×C17—44no—
616C23×C17—82no—
617C23×C17—82no—
618C23×C17—82no—
619C23×C17—82no—
620C23×C17C23×C412yes—
621C23×C17C23×C412yes—
622C23×C17C23×C412yes—
623C23×C17C23×C412yes—
624C23×C17C2511yescharacteristic
625C22×D17—21no—
626C22×D17—21no—
627C22×D17—21no—
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631C22×D17—21no—
632C22×D17—21no—
633C22×D17—21no—
634C22×D17—21no—
635C22×D17—21no—
636C22×D17—21no—
637C22×D17—44no—
638C22×D17—44no—
639C22×D17—44no—
640C22×D17—82no—
641C22×D17—82no—
642C22×D17—82no—
643C22×D17—82no—
644C22×D17C23×C412yes—
645C22×D17C23×C412yes—
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—82no—
679C2×C4×C17—82no—
680C2×C4×C17—82no—
681C2×C4×C17C23×C412yes—
682C2×C4×C17C23×C412yes—
683C2×C4×C17C23×C412yes—
684C2×C4×C17H(5,𝔽2)12yes—
685C22⋊D17—28no—
686C22⋊D17—28no—
687C22⋊D17—44no—
688C22⋊D17—44no—
689C22⋊D17—44no—
690C22⋊D17—44no—
691C2×Dic17—21no—
692C2×Dic17—21no—
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—28no—
702C2×Dic17—28no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—44no—
728C2×Dic17—44no—
729C2×Dic17—82no—
730C2×Dic17C23×C412yes—
731C2×Dic17C23×C412yes—
732C2×Dic17C23×C412yes—
733C2×Dic17C23×C412yes—
734C2×Dic17C23×C412yes—
735C2×Dic17C23×C412yes—
736C2×Dic17H(5,𝔽2)12yes—
737C2×Dic17H(5,𝔽2)12yes—
738C4×D17—44no—
739C4×D17—44no—
740C4×D17—82no—
741C4×D17—82no—
742Dic34—28no—
743C2×#546—171no—
744#2376—171no—
745#2376—171no—
746#2375—171no—
747#2375—171no—
748#2367—171no—
749#2363—171no—
750#2363—171no—
751#2362—171no—
752#2361—171no—
753#2357—171no—
754#2352—171no—
755#2342—171no—
756#2342—171no—
757#2341—171no—
758D4×C22⋊C4—171no—
759#2335—171no—
760#2335—171no—
761#2333—171no—
762#2333—171no—
763#2324—171no—
764#2323—171no—
765#2321—171no—
766#2321D1711yescharacteristic, complemented
767#2312—171no—
768#2312—171no—
769#2311—171no—
770#2309—171no—
771C4×#124—171no—
772#2293—171no—
773#2293—171no—
774C22×C17—22no—
775C22×C17—22no—
776C22×C17—22no—
777C22×C17—22no—
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—41no—
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×C17—41no—
800C22×C17—41no—
801C22×C17—41no—
802C22×C17—88no—
803C22×C17C24×C411yescharacteristic
804C22×C17C2×H(5,𝔽2)11yescharacteristic
805C22×C17C2×H(5,𝔽2)11yescharacteristic
806C22×C17C2×H(5,𝔽2)11yescharacteristic
807C22×C17#58511yescharacteristic
808C22×C17#58511yescharacteristic
809C22×C17#58511yescharacteristic
810C2×D17—22no—
811C2×D17—22no—
812C2×D17—22no—
813C2×D17—22no—
814C2×D17—22no—
815C2×D17—22no—
816C2×D17—41no—
817C2×D17—41no—
818C2×D17—41no—
819C2×D17—41no—
820C2×D17—41no—
821C2×D17—41no—
822C2×D17—41no—
823C2×D17—41no—
824C2×D17—88no—
825C4×C17—22no—
826C4×C17—22no—
827C4×C17—22no—
828C4×C17—22no—
829C4×C17—41no—
830C4×C17—41no—
831C4×C17—41no—
832C4×C17—41no—
833C4×C17—41no—
834C4×C17—41no—
835C4×C17—41no—
836Dic17—22no—
837Dic17—22no—
838Dic17—22no—
839Dic17—22no—
840Dic17—22no—
841Dic17—41no—
842Dic17—41no—
843Dic17—41no—
844Dic17—41no—
845Dic17—41no—
846Dic17—41no—
847Dic17—41no—
848Dic17—41no—
849Dic17#51814yes—
850C22×#41—171no—
851C23×D4—171no—
852#546—1716no—
853C2×#124—171no—
854C2×#123—171no—
855C2×#123—171no—
856C2×C22⋊Q8—171no—
857C2×#121—171no—
858C2×#121—171no—
859C2×#121—171no—
860C2×#120—171no—
861C2×#120C2×D1711yescharacteristic
862C2×C4×Q8—171no—
863C2×C4×Q8—171no—
864C2×C4×D4—171no—
865C2×C4×D4—171no—
866C2×C4×D4—171no—
867C2×C4×D4—171no—
868C2×C4×D4—171no—
869C2×C4×D4C2×D1711yescharacteristic, complemented
870C2×#117—171no—
871C2×#117—171no—
872C2×#117—171no—
873C2×#117—171no—
874C2×#117—171no—
875C22×C4⋊C4—171no—
876C22×C22⋊C4—171no—
877C22×C22⋊C4—171no—
878C22×C22⋊C4—171no—
879C22×C22⋊C4C2×D1711yescharacteristic
880#391—171no—
881#391—171no—
882#390—171no—
883#390—171no—
884#390—171no—
885#390—171no—
886#390—171no—
887#390—171no—
888#390—171no—
889#390—171no—
890#390—171no—
891#390—171no—
892#390—171no—
893#390—171no—
894#390—171no—
895#390—171no—
896#390—171no—
897#390—171no—
898#390C2×D1711yescharacteristic
899#390C2×D1711yescharacteristic, complemented
900#389—171no—
901#389—171no—
902#389—171no—
903#389—171no—
904#389—171no—
905#389—171no—
906#388—171no—
907#388—171no—
908#388—171no—
909#388—171no—
910#388—171no—
911#388—171no—
912#388—171no—
913#388—171no—
914#388—171no—
915#388—171no—
916#388—171no—
917#388—171no—
918#388—171no—
919#388—171no—
920#388—171no—
921#388—171no—
922#388—171no—
923#388—171no—
924#388—171no—
925#388—171no—
926#388—171no—
927#388—171no—
928#388—171no—
929#388—171no—
930#388—171no—
931#388—171no—
932#388—171no—
933#388—171no—
934#388—171no—
935#388—171no—
936#388C2×D1711yescharacteristic
937#388C2×D1711yescharacteristic
938#388C2×D1711yescharacteristic, complemented
939#388C2×D1711yescharacteristic, complemented
940#387—171no—
941#387—171no—
942#387—171no—
943#387—171no—
944#387—171no—
945#387—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#386C2×D1711yescharacteristic
958#386C2×D1711yescharacteristic, complemented
959#386C2×D1711yescharacteristic, complemented
960#385—171no—
961#385—171no—
962#385—171no—
963#385—171no—
964#385—171no—
965#385C2×D1711yescharacteristic, complemented
966#382—171no—
967#381—171no—
968#381—171no—
969#380—171no—
970#380—171no—
971#380—171no—
972#380—171no—
973#380—171no—
974#380—171no—
975#380—171no—
976#380—171no—
977#379—171no—
978#379—171no—
979#379—171no—
980#379—171no—
981#379—171no—
982#379C2×D1711yescharacteristic
983C4×C4⋊C4—171no—
984C4×C4⋊C4—171no—
985C4×C4⋊C4—171no—
986C4×C4⋊C4—171no—
987C4×C4⋊C4—171no—
988C4×C4⋊C4—171no—
989C4×C22⋊C4—171no—
990C4×C22⋊C4—171no—
991C4×C22⋊C4—171no—
992C4×C22⋊C4—171no—
993C4×C22⋊C4—171no—
994C4×C22⋊C4—171no—
995C4×C22⋊C4—171no—
996C4×C22⋊C4—171no—
997C4×C22⋊C4—171no—
998C4×C22⋊C4—171no—
999C4×C22⋊C4—171no—
1000C4×C22⋊C4—171no—
1001C4×C22⋊C4—171no—
1002C4×C22⋊C4—171no—
1003C4×C22⋊C4—171no—
1004C4×C22⋊C4C2×D1711yescharacteristic, complemented
1005C43—171no—
1006C2×C17—42no—
1007C2×C17—42no—
1008C2×C17—42no—
1009C2×C17—42no—
1010C2×C17C2×#51811yescharacteristic
1011C2×C17#342811yescharacteristic
1012C2×C17C4×H(5,𝔽2)11yescharacteristic
1013C2×C17#354611yescharacteristic
1014C2×C17#355111yescharacteristic
1015C2×C17#355811yescharacteristic
1016C2×C17#356211yescharacteristic
1017D17—42no—
1018D17—42no—
1019C25—171no—
1020C25C22×D1711yescharacteristic
1021C2×#41—178no—
1022C2×#41—682no—
1023C2×#41—682no—
1024C22×Q8—171no—
1025C22×D4—171no—
1026C22×D4—171no—
1027C22×D4—178no—
1028C22×D4—171no—
1029C22×D4—171no—
1030C22×D4—171no—
1031C22×D4—171no—
1032C22×D4—682no—
1033C22×D4—682no—
1034C22×D4C22×D1711yescharacteristic
1035C22×D4C22×D1711yescharacteristic
1036C22×D4C22×D1711yescharacteristic
1037C23×C4—171no—
1038C23×C4—171no—
1039C23×C4—171no—
1040C23×C4—171no—
1041C23×C4—171no—
1042C23×C4—171no—
1043C23×C4—171no—
1044C23×C4—171no—
1045C23×C4—171no—
1046C23×C4C22×D1711yescharacteristic
1047C23×C4C22×D1711yescharacteristic
1048C23×C4C22×D1711yescharacteristic
1049#124—178no—
1050#123—178no—
1051#123—178no—
1052C22⋊Q8—178no—
1053#121—178no—
1054#121—178no—
1055#121—178no—
1056#120—178no—
1057#120C4×D1718yescomplemented
1058C4×Q8—682no—
1059C4×Q8—682no—
1060C4×D4—42no—
1061C4×D4—178no—
1062C4×D4—178no—
1063C4×D4—682no—
1064C4×D4—682no—
1065C4×D4—682no—
1066#117—682no—
1067#117—682no—
1068#117—682no—
1069#117—682no—
1070#117—682no—
1071C2×C4⋊C4—171no—
1072C2×C4⋊C4—171no—
1073C2×C4⋊C4—171no—
1074C2×C4⋊C4—171no—
1075C2×C4⋊C4—171no—
1076C2×C4⋊C4—171no—
1077C2×C4⋊C4—171no—
1078C2×C4⋊C4—171no—
1079C2×C4⋊C4—171no—
1080C2×C4⋊C4—171no—
1081C2×C4⋊C4—171no—
1082C2×C4⋊C4—171no—
1083C2×C4⋊C4—171no—
1084C2×C4⋊C4—171no—
1085C2×C4⋊C4—171no—
1086C2×C4⋊C4—171no—
1087C2×C4⋊C4—171no—
1088C2×C4⋊C4—171no—
1089C2×C4⋊C4—171no—
1090C2×C4⋊C4—171no—
1091C2×C4⋊C4—171no—
1092C2×C4⋊C4—682no—
1093C2×C4⋊C4C22×D1711yescharacteristic
1094C2×C4⋊C4C22×D1711yescharacteristic
1095C2×C4⋊C4C22×D1711yescharacteristic
1096C2×C22⋊C4—42no—
1097C2×C22⋊C4—178no—
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—171no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—171no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—171no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—171no—
1117C2×C22⋊C4—171no—
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—171no—
1123C2×C22⋊C4—171no—
1124C2×C22⋊C4—171no—
1125C2×C22⋊C4—171no—
1126C2×C22⋊C4—171no—
1127C2×C22⋊C4—171no—
1128C2×C22⋊C4—171no—
1129C2×C22⋊C4—171no—
1130C2×C22⋊C4—171no—
1131C2×C22⋊C4—171no—
1132C2×C22⋊C4—171no—
1133C2×C22⋊C4—171no—
1134C2×C22⋊C4—171no—
1135C2×C22⋊C4—171no—
1136C2×C22⋊C4—171no—
1137C2×C22⋊C4—682no—
1138C2×C22⋊C4C22×D1711yescharacteristic
1139C2×C22⋊C4C22×D1711yescharacteristic
1140C2×C22⋊C4C22×D1711yescharacteristic
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×C22⋊C4C22×D1711yescharacteristic
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—171no—
1169C2×C42—171no—
1170C2×C42—171no—
1171C2×C42—171no—
1172C2×C42C22×D1711yescharacteristic
1173C2×C42C22×D1711yescharacteristic
1174C2×C42C22×D1711yescharacteristic
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
1207C17#3449511yescharacteristic, complemented, Sylow
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24—41no—
1214C24—171no—
1215C24—171no—
1216C24—174no—
1217C24—681no—
1218C24—681no—
1219C24—681no—
1220C24—681no—
1221C24—681no—
1222C24—681no—
1223C24C2×C4×D1714yes—
1224C24C23×D1711yescharacteristic
1225C24C23×D1711yescharacteristic
1226C24C23×D1711yescharacteristic
1227C24C23×D1711yescharacteristic
1228#41—6816no—
1229C2×Q8—174no—
1230C2×Q8—342no—
1231C2×Q8—342no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—174no—
1239C2×D4—174no—
1240C2×D4—174no—
1241C2×D4—174no—
1242C2×D4—174no—
1243C2×D4—174no—
1244C2×D4—342no—
1245C2×D4—342no—
1246C2×D4—342no—
1247C2×D4—342no—
1248C2×D4—6816no—
1249C2×D4—681no—
1250C2×D4—681no—
1251C2×D4—681no—
1252C2×D4—681no—
1253C2×D4—681no—
1254C2×D4—681no—
1255C2×D4—681no—
1256C2×D4—681no—
1257C2×D4C2×C4×D1714yes—
1258C2×D4C2×C4×D1714yes—
1259C2×D4C2×C4×D1714yes—
1260C22×C4—22no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—171no—
1270C22×C4—174no—
1271C22×C4—174no—
1272C22×C4—171no—
1273C22×C4—171no—
1274C22×C4—171no—
1275C22×C4—171no—
1276C22×C4—171no—
1277C22×C4—174no—
1278C22×C4—174no—
1279C22×C4—174no—
1280C22×C4—174no—
1281C22×C4—171no—
1282C22×C4—171no—
1283C22×C4—171no—
1284C22×C4—171no—
1285C22×C4—171no—
1286C22×C4—171no—
1287C22×C4—171no—
1288C22×C4—171no—
1289C22×C4—342no—
1290C22×C4—342no—
1291C22×C4—342no—
1292C22×C4—342no—
1293C22×C4—342no—
1294C22×C4—681no—
1295C22×C4—681no—
1296C22×C4—681no—
1297C22×C4—681no—
1298C22×C4—681no—
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×C4C23×D1711yescharacteristic
1311C22×C4C23×D1711yescharacteristic
1312C22×C4C23×D1711yescharacteristic
1313C22×C4C23×D1711yescharacteristic
1314C22×C4C23×D1711yescharacteristic
1315C22×C4C23×D1711yescharacteristic
1316C22×C4C23×D1711yescharacteristic
1317C22×C4C23×D1711yescharacteristic
1318C22×C4C23×D1711yescharacteristic
1319C22×C4C23×D1711yescharacteristic
1320C22×C4C23×D1711yescharacteristic
1321C4⋊C4—22no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—174no—
1325C4⋊C4—174no—
1326C4⋊C4—174no—
1327C4⋊C4—174no—
1328C4⋊C4—342no—
1329C4⋊C4—342no—
1330C4⋊C4—342no—
1331C4⋊C4—342no—
1332C4⋊C4—342no—
1333C4⋊C4—681no—
1334C4⋊C4—681no—
1335C4⋊C4—681no—
1336C4⋊C4—681no—
1337C4⋊C4—681no—
1338C4⋊C4—681no—
1339C4⋊C4—681no—
1340C4⋊C4—681no—
1341C4⋊C4—681no—
1342C4⋊C4—681no—
1343C4⋊C4—681no—
1344C4⋊C4—681no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—174no—
1359C22⋊C4—174no—
1360C22⋊C4—174no—
1361C22⋊C4—174no—
1362C22⋊C4—174no—
1363C22⋊C4—174no—
1364C22⋊C4—174no—
1365C22⋊C4—174no—
1366C22⋊C4—174no—
1367C22⋊C4—342no—
1368C22⋊C4—681no—
1369C22⋊C4—681no—
1370C22⋊C4—681no—
1371C22⋊C4—681no—
1372C22⋊C4—681no—
1373C22⋊C4—681no—
1374C22⋊C4—681no—
1375C22⋊C4—681no—
1376C22⋊C4—681no—
1377C22⋊C4—681no—
1378C22⋊C4—681no—
1379C22⋊C4—681no—
1380C22⋊C4—681no—
1381C22⋊C4—681no—
1382C22⋊C4—681no—
1383C22⋊C4—681no—
1384C22⋊C4—681no—
1385C22⋊C4—681no—
1386C22⋊C4—681no—
1387C22⋊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⋊C4C2×C4×D1714yes—
1397C22⋊C4C2×C4×D1714yes—
1398C22⋊C4C2×C4×D1714yes—
1399C42—41no—
1400C42—41no—
1401C42—41no—
1402C42—174no—
1403C42—342no—
1404C42—342no—
1405C42—342no—
1406C42—342no—
1407C42—342no—
1408C42—681no—
1409C42—681no—
1410C42—681no—
1411C42—681no—
1412C42—681no—
1413C42—681no—
1414C42—681no—
1415C42—681no—
1416C42—681no—
1417C42—681no—
1418C42—681no—
1419C42—681no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
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—21no—
1443C23—21no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—82no—
1448C23—82no—
1449C23—82no—
1450C23—82no—
1451C23—172no—
1452C23—172no—
1453C23—341no—
1454C23—341no—
1455C23—341no—
1456C23—341no—
1457C23—341no—
1458C23—341no—
1459C23—341no—
1460C23—341no—
1461C23—341no—
1462C23—341no—
1463C23—341no—
1464C23—341no—
1465C23—684no—
1466C23—684no—
1467C23—684no—
1468C23—1362no—
1469C23—1362no—
1470C23—1362no—
1471C23—1362no—
1472C23C22×C4×D1712yes—
1473C23C22×C4×D1712yes—
1474C23C22×C4×D1712yes—
1475C23C22×C4×D1712yes—
1476C23C24×D1711yescharacteristic
1477Q8—348no—
1478D4—44no—
1479D4—44no—
1480D4—44no—
1481D4—348no—
1482D4—348no—
1483D4—684no—
1484D4—684no—
1485D4—684no—
1486D4—684no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
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—82no—
1517C2×C4—82no—
1518C2×C4—82no—
1519C2×C4—172no—
1520C2×C4—172no—
1521C2×C4—172no—
1522C2×C4—172no—
1523C2×C4—172no—
1524C2×C4—172no—
1525C2×C4—172no—
1526C2×C4—172no—
1527C2×C4—348no—
1528C2×C4—348no—
1529C2×C4—341no—
1530C2×C4—341no—
1531C2×C4—341no—
1532C2×C4—341no—
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—684no—
1564C2×C4—684no—
1565C2×C4—684no—
1566C2×C4—684no—
1567C2×C4—1362no—
1568C2×C4—1362no—
1569C2×C4—1362no—
1570C2×C4C22×C4×D1712yes—
1571C2×C4C22×C4×D1712yes—
1572C2×C4C22×C4×D1712yes—
1573C2×C4#1058769112yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—88no—
1603C22—342no—
1604C22—342no—
1605C22—342no—
1606C22—342no—
1607C22—342no—
1608C22—342no—
1609C22—681no—
1610C22—681no—
1611C22—681no—
1612C22—681no—
1613C22—681no—
1614C22—681no—
1615C22—681no—
1616C22—681no—
1617C22—1368no—
1618C22C23×C4×D1711yescharacteristic
1619C22H(5,𝔽2)×D1711yescharacteristic
1620C22H(5,𝔽2)×D1711yescharacteristic
1621C22C2×#1058769111yescharacteristic
1622C22#1176364411yescharacteristic
1623C22#1176364411yescharacteristic
1624C22#1176364511yescharacteristic
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—174no—
1637C4—342no—
1638C4—342no—
1639C4—342no—
1640C4—342no—
1641C4—342no—
1642C4—681no—
1643C4—681no—
1644C4—681no—
1645C4—681no—
1646C4—681no—
1647C4—681no—
1648C4—681no—
1649C4—681no—
1650C2—42no—
1651C2—42no—
1652C2—42no—
1653C2—42no—
1654C2—682no—
1655C2—682no—
1656C2D17×#51811yescharacteristic
1657C2#1454198211yescharacteristic
1658C2C4×#1058769111yescharacteristic
1659C2#1454314511yescharacteristic
1660C2#1454320111yescharacteristic
1661C2#1454329611yescharacteristic
1662C2#1454335911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2321C2
socle, cosocleC23×C17C25
prime radicalC2×#11763446C2
hypercenter#2321D17
hypocenterC17#34495
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
2. #14531933C2semidirect
3. #14531930C2semidirect
4. #14531925C2semidirect
5. #14531922C2semidirect
6. #14531852C2semidirect
7. #14531819C2semidirect
8. #14531818C2semidirect
9. #14531814C2semidirect
10. #14531801C2semidirect
11. #14531754C2semidirect
12. #14531711C2semidirect
13. #14531632C2semidirect
14. #14531629C2semidirect
15. #14531623C2semidirect
16. C22⋊C4×C22⋊D17C2semidirect
17. #14531576C2semidirect
18. #14531567C2semidirect
19. #14531550C2semidirect
20. #14531545C2semidirect
21. #14531474C2semidirect
22. #14531459C2semidirect
23. #14531443C2semidirect
24. #14531380C2semidirect
25. #14531378C2semidirect
26. #14531371C2semidirect
27. #14531365C2semidirect
28. C4×#10587571C2semidirect
29. #14531246C2semidirect
30. #14531244C2semidirect
31. C17×#2321C2semidirect
34. #11763446C4semidirect
43. C2×C4×Dic34C22semidirect
44. C2×#10587573C22semidirect
49. C2×#10587567C22semidirect
50. C2×#10587578C22semidirect
53. C2×#10587563C22semidirect
54. C2×#10587563C22semidirect
55. C22×#63225C22semidirect
59. #11762713C22semidirect
60. #11762713C22semidirect
62. #11762712C22semidirect
63. #11762712C22semidirect
74. #11762709C22semidirect
75. #11762709C22semidirect
76. #11762709C22semidirect
77. #11762707C22semidirect
78. #11762707C22semidirect
79. #11762706C22semidirect
80. #11762705C22semidirect
81. #11762704C22semidirect
82. #11762704C22semidirect
89. #11762703C22semidirect
92. #11762702C22semidirect
93. #11762702C22semidirect
94. #11762702C22semidirect
95. #11762702C22semidirect
96. #11762701C22semidirect
97. #11762701C22semidirect
98. #11762701C22semidirect
99. #11762700C22semidirect
100. #11762700C22semidirect
101. #11762699C22semidirect
102. #11762699C22semidirect
103. #11762698C22semidirect
104. #11762698C22semidirect
105. #11762698C22semidirect
108. #11762697C22semidirect
109. #11762697C22semidirect
110. #11762697C22semidirect
111. #11762697C22semidirect
112. #11762697C22semidirect
113. #11762696C22semidirect
114. #11762694C22semidirect
115. #11762694C22semidirect
116. #11762692C22semidirect
117. #11762692C22semidirect
118. #11762691C22semidirect
120. #11762689C22semidirect
121. #11762689C22semidirect
124. #11762688C22semidirect
125. #11762688C22semidirect
126. #11762686C22semidirect
129. #11762685C22semidirect
130. #11762683C22semidirect
131. #11762682C22semidirect
132. #11762682C22semidirect
133. #11762680C22semidirect
134. #11762680C22semidirect
135. #11762673C22semidirect
136. #11762671C22semidirect
137. #11762670C22semidirect
138. #11762668C22semidirect
139. #11762668C22semidirect
141. #11762667C22semidirect
142. #11762667C22semidirect
143. #11762667C22semidirect
144. #11762667C22semidirect
145. #11762666C22semidirect
151. C4⋊C4×Dic17C22semidirect
152. C4⋊C4×Dic17C22semidirect
153. C4×#63225C22semidirect
154. C4×#63225C22semidirect
155. #11762660C22semidirect
156. #11762660C22semidirect
158. C22⋊C4×Dic17C22semidirect
159. C22⋊C4×Dic17C22semidirect
160. C22⋊C4×Dic17C22semidirect
161. C22⋊C4×Dic17C22semidirect
162. C22⋊C4×Dic17C22semidirect
163. C4×#63227C22semidirect
164. C4×#63227C22semidirect
165. C4×#63227C22semidirect
166. C4×#63227C22semidirect
167. C4×C22⋊Dic17C22semidirect
168. C4×C22⋊Dic17C22semidirect
169. C4×C22⋊Dic17C22semidirect
170. #11762656C22semidirect
171. #11762656C22semidirect
172. C42×Dic17C22semidirect
174. C2×C4×D4×C17C22semidirect
177. C17×#390C22semidirect
180. C17×#388C22semidirect
181. C17×#388C22semidirect
183. C17×#386C22semidirect
184. C17×#386C22semidirect
185. C17×#385C22semidirect
187. C4×C22⋊C4×C17C22semidirect
198. C22×C22⋊D17C2×C4semidirect
212. C2×#63254C2×C4semidirect
218. C17×#120C2×C4semidirect
243. C2×C22⋊Dic17C2×C4semidirect
265. #10587625C2×C4semidirect
266. #10587624C2×C4semidirect
267. #10587623C2×C4semidirect
268. D4×Dic17C2×C4semidirect
331. #10587572C2×C4semidirect
332. #10587571C2×C4semidirect
333. #10587569C2×C4semidirect
335. #10587567C2×C4semidirect
337. C22⋊C4×D17C2×C4semidirect
338. #10587564C2×C4semidirect
766. #2321D17semidirect
869. C2×C4×D4C2×D17semidirect
899. #390C2×D17semidirect
938. #388C2×D17semidirect
939. #388C2×D17semidirect
958. #386C2×D17semidirect
959. #386C2×D17semidirect
965. #385C2×D17semidirect
1004. C4×C22⋊C4C2×D17semidirect
1057. #120C4×D17semidirect
1207. C17#34495semidirect

Maximal subgroups

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

subgroupindex
C2×#117634462
#145319332
#145319302
#145319252
#145319222
#145318522
#145318192
#145318182
#145318142
#145318012
#145317542
#145317112
#145316322
#145316292
#145316232
C22⋊C4×C22⋊D172
#145315762
#145315672
#145315502
#145315452
#145314742
#145314592
#145314432
#145313802
#145313782
#145313712
#145313652
C4×#105875712
#145312462
#145312442
C17×#23212
#3449517