Finite Group Databasebeta

← #17194956

Subgroups — #17194956

Order 4352.

2726 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763315C211yesmaximal, characteristic
2#14531865C211yesmaximal, characteristic, complemented
3#14531862C211yesmaximal, characteristic, complemented
4#14531832C211yesmaximal, characteristic, complemented
5#14531829C211yesmaximal, characteristic, complemented
6#14531768C211yesmaximal, characteristic, complemented
7#14531763C211yesmaximal, characteristic, complemented
8#14531763C211yesmaximal, characteristic, complemented
9#14531756C211yesmaximal, characteristic, complemented
10#14531754C211yesmaximal, characteristic, complemented
11#14531722C211yesmaximal, characteristic, complemented
12#14531719C211yesmaximal, characteristic, complemented
13#14531642C211yesmaximal, characteristic, complemented
14#14531638C211yesmaximal, characteristic, complemented
15#14531610C211yesmaximal, characteristic, complemented
16#14531609C211yesmaximal, characteristic, complemented
17#14531550C211yesmaximal, characteristic, complemented
18#14531543C211yesmaximal, characteristic, complemented
19#14531541C211yesmaximal, characteristic, complemented
20#14531534C211yesmaximal, characteristic, complemented
21#14531412C211yesmaximal, characteristic, complemented
22#14531410C211yesmaximal, characteristic, complemented
23#14531309C211yesmaximal, characteristic, complemented
24C4×#10587572C211yesmaximal, characteristic, complemented
25#14531303C211yesmaximal, characteristic, complemented
26C4×#10587621C211yesmaximal, characteristic, complemented
27C2×#11762670C211yesmaximal, characteristic, complemented
28#14531145C211yesmaximal, characteristic, complemented
29#14531143C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic17C211yesmaximal, characteristic, complemented
31C17×#2358C211yesmaximal, characteristic, complemented
32C22×#63254C2211yescharacteristic
33C24×Dic17C2211yescharacteristic
34#11763315C4116yescomplemented
35C2×#10587572C2211yescharacteristic
36C2×#10587621C2211yescharacteristic
37C2×#10587564C2211yescharacteristic
38C2×#10587564C2211yescharacteristic
39C2×#10587625C2211yescharacteristic
40C2×#10587625C2211yescharacteristic
41C2×#10587639C2211yescharacteristic
42C2×D4×Dic17C2211yescharacteristic
43C2×D4×Dic17C2211yescharacteristic
44C2×D4×Dic17C2211yescharacteristic
45C2×D4×Dic17C2211yescharacteristic
46C2×C4×C22⋊D17C2211yescharacteristic
47C2×C4×C22⋊D17C2211yescharacteristic
48C2×#10587567C2211yescharacteristic
49C2×#10587567C2211yescharacteristic
50C2×#10587567C2211yescharacteristic
51C2×#10587567C2211yescharacteristic
52C2×#10587563C2211yescharacteristic
53C22×C22⋊Dic17C2211yescharacteristic
54C22×C22⋊Dic17C2211yescharacteristic
55C22×C4×Dic17C2211yescharacteristic
56C22×C4×Dic17C2211yescharacteristic
57#11762715C2211yescharacteristic, complemented
58#11762714C2211yescharacteristic, complemented
59#11762713C2211yescharacteristic, complemented
60#11762713C2211yescharacteristic, complemented
61#11762712C2211yescharacteristic
62#11762709C2211yescharacteristic
63#11762709C2211yescharacteristic
64#11762703C2211yescharacteristic
65#11762703C2211yescharacteristic
66#11762703C2211yescharacteristic, complemented
67#11762703C2211yescharacteristic, complemented
68#11762702C2211yescharacteristic
69#11762702C2211yescharacteristic
70#11762701C2211yescharacteristic, complemented
71#11762701C2211yescharacteristic, complemented
72#11762699C2211yescharacteristic, complemented
73#11762699C2211yescharacteristic, complemented
74#11762697C2211yescharacteristic
75#11762697C2211yescharacteristic
76#11762697C2211yescharacteristic, complemented
77#11762697C2211yescharacteristic, complemented
78#11762696C2211yescharacteristic, complemented
79#11762696C2211yescharacteristic, complemented
80#11762696C2211yescharacteristic, complemented
81#11762696C2211yescharacteristic, complemented
82#11762694C2211yescharacteristic, complemented
83#11762694C2211yescharacteristic, complemented
84#11762693C2211yescharacteristic, complemented
85#11762693C2211yescharacteristic, complemented
86#11762692C2211yescharacteristic, complemented
87#11762692C2211yescharacteristic, complemented
88#11762691C2211yescharacteristic, complemented
89#11762691C2211yescharacteristic, complemented
90#11762690C2211yescharacteristic, complemented
91#11762690C2211yescharacteristic, complemented
92#11762690C2211yescharacteristic, complemented
93#11762690C2211yescharacteristic, complemented
94#11762689C2211yescharacteristic
95#11762689C2211yescharacteristic
96#11762689C2211yescharacteristic
97#11762688C2211yescharacteristic
98#11762688C2211yescharacteristic
99#11762688C2211yescharacteristic, complemented
100#11762686C2211yescharacteristic
101#11762686C2211yescharacteristic
102#11762686C2211yescharacteristic, complemented
103#11762685C2211yescharacteristic
104#11762685C2211yescharacteristic
105#11762685C2211yescharacteristic, complemented
106#11762685C2211yescharacteristic, complemented
107#11762684C2211yescharacteristic
108#11762684C2211yescharacteristic
109#11762682C2211yescharacteristic
110#11762682C2211yescharacteristic
111#11762681C2211yescharacteristic
112#11762681C2211yescharacteristic
113#11762676C2211yescharacteristic, complemented
114#11762676C2211yescharacteristic, complemented
115#11762674C2211yescharacteristic, complemented
116#11762673C2211yescharacteristic, complemented
117#11762671C2211yescharacteristic, complemented
118#11762670C2211yescharacteristic
119#11762670C2211yescharacteristic
120#11762670C2211yescharacteristic
121#11762670C2211yescharacteristic
122#11762670C2211yescharacteristic
123#11762670C2211yescharacteristic
124#11762670C2211yescharacteristic
125#11762670C2211yescharacteristic
126#11762670C2211yescharacteristic, complemented
127#11762667C2211yescharacteristic, complemented
128#11762666C2211yescharacteristic, complemented
129C4⋊C4×Dic17C2211yescharacteristic, complemented
130C4⋊C4×Dic17C2211yescharacteristic, complemented
131C4⋊C4×Dic17C2211yescharacteristic, complemented
132C4×#63225C2211yescharacteristic, complemented
133C4×#63225C2211yescharacteristic, complemented
134C4×#63225C2211yescharacteristic, complemented
135C4×C4⋊Dic17C2211yescharacteristic, complemented
136C4×C4⋊Dic17C2211yescharacteristic, complemented
137#11762660C2211yescharacteristic, complemented
138#11762660C2211yescharacteristic, complemented
139C22⋊C4×Dic17C2211yescharacteristic
140C22⋊C4×Dic17C2211yescharacteristic
141C22⋊C4×Dic17C2211yescharacteristic
142C22⋊C4×Dic17C2211yescharacteristic
143C22⋊C4×Dic17C2211yescharacteristic
144C22⋊C4×Dic17C2211yescharacteristic
145C22⋊C4×Dic17C2211yescharacteristic
146C22⋊C4×Dic17C2211yescharacteristic
147C22⋊C4×Dic17C2211yescharacteristic
148C22⋊C4×Dic17C2211yescharacteristic
149C22⋊C4×Dic17C2211yescharacteristic
150C22⋊C4×Dic17C2211yescharacteristic
151C22⋊C4×Dic17C2211yescharacteristic, complemented
152C22⋊C4×Dic17C2211yescharacteristic, complemented
153C22⋊C4×Dic17C2211yescharacteristic, complemented
154C4×#63227C2211yescharacteristic, complemented
155C4×#63227C2211yescharacteristic, complemented
156C4×#63227C2211yescharacteristic, complemented
157C4×C22⋊Dic17C2211yescharacteristic
158C4×C22⋊Dic17C2211yescharacteristic
159C4×C22⋊Dic17C2211yescharacteristic, complemented
160C4×C22⋊Dic17C2211yescharacteristic, complemented
161#11762656C2211yescharacteristic, complemented
162#11762656C2211yescharacteristic, complemented
163#11762655C2211yescharacteristic, complemented
164#11762654C2211yescharacteristic, complemented
165C2×#10587502C2211yescharacteristic
166C2×#10587502C2211yescharacteristic
167C2×#10587502C2211yescharacteristic
168C2×#10587502C2211yescharacteristic
169C2×#10587502C2211yescharacteristic
170C2×#10587502C2211yescharacteristic
171C2×#10587502C2211yescharacteristic, complemented
172#95×D17C2211yescharacteristic, complemented
173C2×C17×#120C2211yescharacteristic
174C2×C4×D4×C17C2211yescharacteristic
175C2×C4×D4×C17C2211yescharacteristic
176C22×C22⋊C4×C17C2211yescharacteristic
177C22×C22⋊C4×C17C2211yescharacteristic
178C17×#390C2211yescharacteristic
179C17×#388C2211yescharacteristic
180C17×#388C2211yescharacteristic
181C17×#386C2211yescharacteristic
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic
184C17×#385C2211yescharacteristic
185C17×#385C2211yescharacteristic
186C4×C22⋊C4×C17C2211yescharacteristic
187C4×C22⋊C4×C17C2211yescharacteristic
188C25×C17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×C17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C22×C22⋊D17C2311yescharacteristic
200C22×C22⋊D17C2311yescharacteristic
201C23×Dic17—42no—
202C23×Dic17—42no—
203C23×Dic17C2×C418yescomplemented
204C23×Dic17C2311yescharacteristic
205C23×Dic17C2311yescharacteristic
206C23×Dic17C2311yescharacteristic
207C23×Dic17C2311yescharacteristic
208C23×Dic17C2311yescharacteristic
209C23×Dic17C2311yescharacteristic
210C23×Dic17C2311yescharacteristic
211C23×Dic17C2311yescharacteristic
212C23×Dic17C2311yescharacteristic
213C23×Dic17C2311yescharacteristic
214C23×Dic17C2311yescharacteristic
215C23×Dic17C2311yescharacteristic
216C2×#63254—42no—
217C2×#63254—42no—
218C2×#63254C2×C418yescomplemented
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×Dic34C2311yescharacteristic
223C17×#120C2×C418yescomplemented
224C4×D4×C17—24no—
225C4×D4×C17—42no—
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17—24no—
230C2×C22⋊C4×C17—42no—
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×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C42×C17C2311yescharacteristic
246C2×C42×C17C2311yescharacteristic
247C2×C42×C17C2311yescharacteristic
248#10587639C2×C418yescomplemented
249C2×C22⋊Dic17—24no—
250C2×C22⋊Dic17—42no—
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
264C2×C22⋊Dic17C2311yescharacteristic
265C2×C22⋊Dic17C2311yescharacteristic
266C2×C22⋊Dic17C2311yescharacteristic
267#10587625C2×C418yescomplemented
268#10587625C2×C418yescomplemented
269#10587621C2×C418yescomplemented
270D4×Dic17—24no—
271D4×Dic17—42no—
272D4×Dic17C2×C418yescomplemented
273D4×Dic17C2×C418yescomplemented
274C4×C22⋊D17—24no—
275C4×C22⋊D17—42no—
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×C4⋊Dic17C2311yescharacteristic
285C2×C4⋊Dic17C2311yescharacteristic
286C2×C4⋊Dic17C2311yescharacteristic
287C2×C4⋊Dic17C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×#63225C2311yescharacteristic
290C2×#63225C2311yescharacteristic
291C2×#63225C2311yescharacteristic
292C2×#63225C2311yescharacteristic
293C2×#63225C2311yescharacteristic
294C2×#63225C2311yescharacteristic
295C2×#63225C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×C4×Dic17—42no—
300C2×C4×Dic17—42no—
301C2×C4×Dic17C2311yescharacteristic
302C2×C4×Dic17C2311yescharacteristic
303C2×C4×Dic17C2311yescharacteristic
304C2×C4×Dic17C2311yescharacteristic
305C2×C4×Dic17C2311yescharacteristic
306C2×C4×Dic17C2311yescharacteristic
307C2×C4×Dic17C2311yescharacteristic
308C2×C4×Dic17C2311yescharacteristic
309C2×C4×Dic17C2311yescharacteristic
310C2×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320#10587572C2×C418yescomplemented
321#10587567—24no—
322#10587567—42no—
323#10587567C2×C418yescomplemented
324#10587567C2×C418yescomplemented
325#10587564C2×C418yescomplemented
326#10587564C2×C418yescomplemented
327#10587563C2×C418yescomplemented
328C17×#95C2311yescharacteristic
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334#10587502C2311yescharacteristic
335#10587502C2311yescharacteristic
336#10587502C2311yescharacteristic
337#10587502C2311yescharacteristic
338#10587502C2311yescharacteristic
339#10587502C2311yescharacteristic
340#10587502C2311yescharacteristic
341#10587502C2311yescharacteristic
342#10587502C2311yescharacteristic
343#10587502C2311yescharacteristic
344#10587502C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376C24×C17—22no—
377C24×C17—22no—
378C24×C17—22no—
379C24×C17—22no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17C22×C414yes—
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C23×D17C2411yescharacteristic
388C2×D4×C17—22no—
389C2×D4×C17—22no—
390C2×D4×C17—22no—
391C2×D4×C17—22no—
392C2×D4×C17—41no—
393C2×D4×C17—41no—
394C2×D4×C17C22×C414yes—
395C2×D4×C17C22×C414yes—
396C2×D4×C17C22×C414yes—
397C22×C4×C17—22no—
398C22×C4×C17—22no—
399C22×C4×C17—22no—
400C22×C4×C17—22no—
401C22×C4×C17—22no—
402C22×C4×C17—22no—
403C22×C4×C17—22no—
404C22×C4×C17—41no—
405C22×C4×C17—41no—
406C22×C4×C17—41no—
407C22×C4×C17—41no—
408C22×C4×C17—41no—
409C22×C4×C17—41no—
410C22×C4×C17—41no—
411C22×C4×C17—41no—
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
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
423C2×C22⋊D17—22no—
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—22no—
427C2×C22⋊D17—41no—
428C2×C22⋊D17—41no—
429C2×C22⋊D17—41no—
430C2×C22⋊D17—41no—
431C2×C22⋊D17C22×C414yes—
432C2×C22⋊D17C22×C414yes—
433C2×C22⋊D17C22×C414yes—
434C2×C22⋊D17C22×C414yes—
435C22×Dic17—22no—
436C22×Dic17—22no—
437C22×Dic17—22no—
438C22×Dic17—22no—
439C22×Dic17—22no—
440C22×Dic17—22no—
441C22×Dic17—22no—
442C22×Dic17—22no—
443C22×Dic17—22no—
444C22×Dic17—22no—
445C22×Dic17—22no—
446C22×Dic17—41no—
447C22×Dic17—41no—
448C22×Dic17—416no—
449C22×Dic17—41no—
450C22×Dic17—41no—
451C22×Dic17—41no—
452C22×Dic17—41no—
453C22×Dic17—41no—
454C22×Dic17—41no—
455C22×Dic17—41no—
456C22×Dic17—41no—
457C22×Dic17—41no—
458C22×Dic17—41no—
459C22×Dic17—41no—
460C22×Dic17—41no—
461C22×Dic17—41no—
462C22×Dic17—41no—
463C22×Dic17—41no—
464C22×Dic17—41no—
465C22×Dic17C22×C414yes—
466C22×Dic17C22×C414yes—
467C22×Dic17C22×C414yes—
468C22×Dic17C22×C414yes—
469C22×Dic17C22×C414yes—
470C22×Dic17C22×C414yes—
471C22×Dic17C22×C414yes—
472C22×Dic17C2411yescharacteristic
473C22×Dic17C2411yescharacteristic
474C22×Dic17C2411yescharacteristic
475C22×Dic17C2411yescharacteristic
476C22×Dic17C2411yescharacteristic
477C22×Dic17C2411yescharacteristic
478C22×Dic17C2411yescharacteristic
479C22×Dic17C2411yescharacteristic
480C22×Dic17C2411yescharacteristic
481C22×Dic17C2411yescharacteristic
482C22×Dic17C2411yescharacteristic
483C22×Dic17C2411yescharacteristic
484C22×Dic17C2411yescharacteristic
485C22×Dic17C2411yescharacteristic
486C22×Dic17C2411yescharacteristic
487#63254—416no—
488C2×C4×D17—22no—
489C2×C4×D17—22no—
490C2×C4×D17—41no—
491C2×C4×D17—41no—
492C2×C4×D17—41no—
493C2×C4×D17—41no—
494C2×C4×D17—41no—
495C2×C4×D17—41no—
496C2×C4×D17C22×C414yes—
497C2×Dic34—41no—
498C2×Dic34—41no—
499C2×Dic34C22×C414yes—
500C4⋊C4×C17—22no—
501C4⋊C4×C17—41no—
502C4⋊C4×C17—41no—
503C22⋊C4×C17—22no—
504C22⋊C4×C17—22no—
505C22⋊C4×C17—22no—
506C22⋊C4×C17—22no—
507C22⋊C4×C17—22no—
508C22⋊C4×C17—22no—
509C22⋊C4×C17—41no—
510C22⋊C4×C17—41no—
511C22⋊C4×C17—41no—
512C22⋊C4×C17—41no—
513C22⋊C4×C17C22×C414yes—
514C22⋊C4×C17C22×C414yes—
515C22⋊C4×C17C22×C414yes—
516C22⋊C4×C17#4114yescomplemented
517C42×C17—22no—
518C42×C17—41no—
519C42×C17—41no—
520C22⋊Dic17—22no—
521C22⋊Dic17—22no—
522C22⋊Dic17—22no—
523C22⋊Dic17—22no—
524C22⋊Dic17—22no—
525C22⋊Dic17—22no—
526C22⋊Dic17—41no—
527C22⋊Dic17—41no—
528C22⋊Dic17—41no—
529C22⋊Dic17—41no—
530C22⋊Dic17C22×C414yes—
531C22⋊Dic17C22×C414yes—
532C22⋊Dic17C22×C414yes—
533C22⋊Dic17C22×C414yes—
534C22⋊Dic17C22×C414yes—
535C22⋊Dic17#4114yescomplemented
536#63227—22no—
537#63227—22no—
538#63227—41no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542#63227C22×C414yes—
543#63227C22×C414yes—
544C4⋊Dic17—22no—
545C4⋊Dic17—41no—
546C4⋊Dic17—41no—
547C4⋊Dic17C22×C414yes—
548C4⋊Dic17C22×C414yes—
549#63225—22no—
550#63225—22no—
551#63225—41no—
552#63225—41no—
553#63225—41no—
554#63225—41no—
555#63225C22×C414yes—
556#63225C22×C414yes—
557#63225C22×C414yes—
558#63225C22×C414yes—
559C4×Dic17—22no—
560C4×Dic17—22no—
561C4×Dic17—22no—
562C4×Dic17—41no—
563C4×Dic17—41no—
564C4×Dic17—41no—
565C4×Dic17—41no—
566C4×Dic17—41no—
567C4×Dic17—41no—
568C4×Dic17—41no—
569C4×Dic17—41no—
570C4×Dic17—41no—
571C4×Dic17—41no—
572C4×Dic17—41no—
573C4×Dic17—41no—
574C4×Dic17—41no—
575C4×Dic17—41no—
576C4×Dic17C22×C414yes—
577C4×Dic17C22×C414yes—
578#34228—171nomaximal, Sylow
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17—21no—
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—28no—
588C23×C17—28no—
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—44no—
602C23×C17—44no—
603C23×C17—44no—
604C23×C17—44no—
605C23×C17—44no—
606C23×C17C23×C412yes—
607C23×C17C23×C412yes—
608C23×C17C23×C412yes—
609C23×C17C23×C412yes—
610C23×C17C2×#4112yes—
611C23×C17C2×#4112yes—
612C23×C17H(5,𝔽2)12yes—
613C23×C17H(5,𝔽2)12yes—
614C23×C17C2511yescharacteristic
615C22×D17—21no—
616C22×D17—21no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17C23×C412yes—
622D4×C17—28no—
623D4×C17—28no—
624D4×C17—44no—
625C2×C4×C17—21no—
626C2×C4×C17—21no—
627C2×C4×C17—21no—
628C2×C4×C17—21no—
629C2×C4×C17—21no—
630C2×C4×C17—21no—
631C2×C4×C17—21no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—44no—
654C2×C4×C17—44no—
655C2×C4×C17—82no—
656C2×C4×C17—82no—
657C2×C4×C17—82no—
658C2×C4×C17C23×C412yes—
659C2×C4×C17C23×C412yes—
660C2×C4×C17C23×C412yes—
661C2×C4×C17C2×#4112yes—
662C2×C4×C17C2×#4112yes—
663C22⋊D17—28no—
664C22⋊D17—28no—
665C22⋊D17—44no—
666C22⋊D17—44no—
667C2×Dic17—28no—
668C2×Dic17—28no—
669C2×Dic17—21no—
670C2×Dic17—21no—
671C2×Dic17—21no—
672C2×Dic17—21no—
673C2×Dic17—21no—
674C2×Dic17—21no—
675C2×Dic17—21no—
676C2×Dic17—21no—
677C2×Dic17—21no—
678C2×Dic17—21no—
679C2×Dic17—21no—
680C2×Dic17—21no—
681C2×Dic17—21no—
682C2×Dic17—21no—
683C2×Dic17—21no—
684C2×Dic17—21no—
685C2×Dic17—21no—
686C2×Dic17—21no—
687C2×Dic17—21no—
688C2×Dic17—21no—
689C2×Dic17—21no—
690C2×Dic17—21no—
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—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—44no—
706C2×Dic17—44no—
707C2×Dic17—44no—
708C2×Dic17—44no—
709C2×Dic17—44no—
710C2×Dic17—44no—
711C2×Dic17—44no—
712C2×Dic17—82no—
713C2×Dic17—82no—
714C2×Dic17—82no—
715C2×Dic17C23×C412yes—
716C2×Dic17C23×C412yes—
717C2×Dic17C23×C412yes—
718C2×Dic17C23×C412yes—
719C2×Dic17C23×C412yes—
720C2×Dic17C23×C412yes—
721C2×Dic17C23×C412yes—
722C2×Dic17C2×#4112yes—
723C2×Dic17C2×#4112yes—
724C4×D17—44no—
725C4×D17—82no—
726C4×D17—82no—
727Dic34—44no—
728C2×#525—171no—
729#2368—171no—
730#2368—171no—
731#2364—171no—
732#2364—171no—
733#2358—171no—
734#2358—171no—
735#2358—171no—
736#2358D1711yescharacteristic, complemented
737#2357—171no—
738#2357—171no—
739#2353—171no—
740#2353—171no—
741#2343—171no—
742#2343—171no—
743#2339—171no—
744#2339—171no—
745#2333—171no—
746#2333—171no—
747#2332—171no—
748#2332—171no—
749#2318—171no—
750#2318—171no—
751C4×#123—171no—
752C4×#123—171no—
753C4×#123—171no—
754C4×#123—171no—
755C2×#381—171no—
756#2275—171no—
757#2275—171no—
758C2×C4×C22⋊C4—171no—
759C22×C17—22no—
760C22×C17—22no—
761C22×C17—22no—
762C22×C17—22no—
763C22×C17—22no—
764C22×C17—22no—
765C22×C17—22no—
766C22×C17—22no—
767C22×C17—22no—
768C22×C17—22no—
769C22×C17—22no—
770C22×C17—22no—
771C22×C17—22no—
772C22×C17—22no—
773C22×C17—22no—
774C22×C17—22no—
775C22×C17—22no—
776C22×C17—22no—
777C22×C17—416no—
778C22×C17—41no—
779C22×C17—41no—
780C22×C17—41no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17—41no—
786C22×C17C4×#4114yes—
787C22×C17#51814yes—
788C22×C17C24×C411yescharacteristic
789C22×C17C22×#4111yescharacteristic
790C22×C17C22×#4111yescharacteristic
791C22×C17C2×H(5,𝔽2)11yescharacteristic
792C22×C17C2×H(5,𝔽2)11yescharacteristic
793C22×C17#58511yescharacteristic
794C22×C17#58511yescharacteristic
795C2×D17—22no—
796C2×D17—22no—
797C2×D17—22no—
798C2×D17—41no—
799C2×D17—41no—
800C2×D17—41no—
801C2×D17—41no—
802C4×C17—22no—
803C4×C17—22no—
804C4×C17—22no—
805C4×C17—22no—
806C4×C17—22no—
807C4×C17—41no—
808C4×C17—41no—
809C4×C17—41no—
810C4×C17—41no—
811C4×C17—41no—
812C4×C17—41no—
813Dic17—22no—
814Dic17—22no—
815Dic17—22no—
816Dic17—22no—
817Dic17—22no—
818Dic17—22no—
819Dic17—22no—
820Dic17—22no—
821Dic17—22no—
822Dic17—41no—
823Dic17—41no—
824Dic17—41no—
825Dic17—41no—
826Dic17—41no—
827Dic17—41no—
828C22×#41—171no—
829C24×C4—171no—
830#525—1716no—
831C2×#123—171no—
832C2×#123—171no—
833C2×C22⋊Q8—171no—
834C2×C22⋊Q8—171no—
835C2×#121—171no—
836C2×#121—171no—
837C2×#120—171no—
838C2×#120C2×D1711yescharacteristic
839C2×C4×D4—171no—
840C2×C4×D4—171no—
841C2×C4×D4—171no—
842C2×C4×D4—171no—
843C2×C4×D4—171no—
844C2×C4×D4—171no—
845C2×C4×D4—171no—
846C2×C4×D4—171no—
847C2×C4×D4—171no—
848C2×C4×D4—171no—
849C2×C4×D4C2×D1711yescharacteristic
850C2×C4×D4C2×D1711yescharacteristic
851C2×#117—171no—
852C22×C22⋊C4—171no—
853C22×C22⋊C4—171no—
854C22×C22⋊C4C2×D1711yescharacteristic
855C22×C22⋊C4C2×D1711yescharacteristic
856C22×C42—171no—
857C22×C42—171no—
858#391—171no—
859#391—171no—
860#391—171no—
861#391—171no—
862#390—171no—
863#390—171no—
864#390—171no—
865#390C2×D1711yescharacteristic
866#388—171no—
867#388—171no—
868#388—171no—
869#388—171no—
870#388—171no—
871#388—171no—
872#388—171no—
873#388—171no—
874#388—171no—
875#388—171no—
876#388—171no—
877#388—171no—
878#388—171no—
879#388—171no—
880#388C2×D1711yescharacteristic
881#388C2×D1711yescharacteristic
882#387—171no—
883#387—171no—
884#387—171no—
885#387—171no—
886#387—171no—
887#387—171no—
888#387—171no—
889#387—171no—
890#387—171no—
891#387—171no—
892#387—171no—
893#387—171no—
894#387—171no—
895#387—171no—
896#387—171no—
897#387—171no—
898#386—171no—
899#386—171no—
900#386—171no—
901#386—171no—
902#386—171no—
903#386—171no—
904#386—171no—
905#386—171no—
906#386—171no—
907#386—171no—
908#386—171no—
909#386—171no—
910#386—171no—
911#386C2×D1711yescharacteristic
912#386C2×D1711yescharacteristic
913#386C2×D1711yescharacteristic
914#385—171no—
915#385—171no—
916#385—171no—
917#385—171no—
918#385—171no—
919#385—171no—
920#385C2×D1711yescharacteristic
921#385C2×D1711yescharacteristic
922#383—171no—
923#383—171no—
924#382—171no—
925#382—171no—
926#381—171no—
927#381—171no—
928#381—171no—
929#381—171no—
930#381—171no—
931#381—171no—
932#381—171no—
933#381—171no—
934#381—171no—
935#381—171no—
936#380—171no—
937#380—171no—
938C4×C4⋊C4—171no—
939C4×C4⋊C4—171no—
940C4×C4⋊C4—171no—
941C4×C4⋊C4—171no—
942C4×C4⋊C4—171no—
943C4×C4⋊C4—171no—
944C4×C4⋊C4—171no—
945C4×C4⋊C4—171no—
946C4×C4⋊C4—171no—
947C4×C4⋊C4—171no—
948C4×C22⋊C4—171no—
949C4×C22⋊C4—171no—
950C4×C22⋊C4—171no—
951C4×C22⋊C4—171no—
952C4×C22⋊C4—171no—
953C4×C22⋊C4—171no—
954C4×C22⋊C4—171no—
955C4×C22⋊C4—171no—
956C4×C22⋊C4—171no—
957C4×C22⋊C4—171no—
958C4×C22⋊C4—171no—
959C4×C22⋊C4—171no—
960C4×C22⋊C4—171no—
961C4×C22⋊C4—171no—
962C4×C22⋊C4—171no—
963C4×C22⋊C4—171no—
964C4×C22⋊C4—171no—
965C4×C22⋊C4—171no—
966C4×C22⋊C4—171no—
967C4×C22⋊C4—171no—
968C4×C22⋊C4—171no—
969C4×C22⋊C4—171no—
970C4×C22⋊C4—171no—
971C4×C22⋊C4—171no—
972C4×C22⋊C4C2×D1711yescharacteristic
973C4×C22⋊C4C2×D1711yescharacteristic
974#376—171no—
975#376—171no—
976C2×#95—171no—
977C2×#95—171no—
978C2×#95—171no—
979C2×#95—171no—
980C2×#95—171no—
981C2×#95—171no—
982C2×#95—171no—
983C2×#95—171no—
984C2×C17—24no—
985C2×C17—24no—
986C2×C17—42no—
987C2×C17—42no—
988C2×C17C2×C4×#4111yescharacteristic
989C2×C17C2×#51811yescharacteristic
990C2×C17#342811yescharacteristic
991C2×C17#351311yescharacteristic
992C2×C17#351311yescharacteristic
993C2×C17#351311yescharacteristic
994C2×C17#351311yescharacteristic
995D17—42no—
996C25C22×D1711yescharacteristic
997C2×#41—178no—
998C2×#41—682no—
999C2×#41—682no—
1000C22×Q8—171no—
1001C22×D4—171no—
1002C22×D4—171no—
1003C22×D4—171no—
1004C22×D4—171no—
1005C22×D4C22×D1711yescharacteristic
1006C22×D4C22×D1711yescharacteristic
1007C22×D4C22×D1711yescharacteristic
1008C23×C4—171no—
1009C23×C4—171no—
1010C23×C4—178no—
1011C23×C4—171no—
1012C23×C4—171no—
1013C23×C4—171no—
1014C23×C4—171no—
1015C23×C4—171no—
1016C23×C4—171no—
1017C23×C4—171no—
1018C23×C4—171no—
1019C23×C4—171no—
1020C23×C4—171no—
1021C23×C4—171no—
1022C23×C4—171no—
1023C23×C4—171no—
1024C23×C4—682no—
1025C23×C4—682no—
1026C23×C4C22×D1711yescharacteristic
1027C23×C4C22×D1711yescharacteristic
1028C23×C4C22×D1711yescharacteristic
1029C23×C4C22×D1711yescharacteristic
1030C23×C4C22×D1711yescharacteristic
1031#123—178no—
1032#123—178no—
1033C22⋊Q8—178no—
1034C22⋊Q8—178no—
1035#121—178no—
1036#121—178no—
1037#120—178no—
1038#120C4×D1718yescomplemented
1039C4×D4—24no—
1040C4×D4—42no—
1041C4×D4—178no—
1042C4×D4—178no—
1043C4×D4—178no—
1044C4×D4—178no—
1045C4×D4—344no—
1046C4×D4—344no—
1047C4×D4—344no—
1048C4×D4—682no—
1049C4×D4—682no—
1050C4×D4—682no—
1051#117—178no—
1052C2×C4⋊C4—171no—
1053C2×C4⋊C4—171no—
1054C2×C4⋊C4—171no—
1055C2×C4⋊C4—171no—
1056C2×C4⋊C4—171no—
1057C2×C4⋊C4—171no—
1058C2×C4⋊C4—171no—
1059C2×C4⋊C4—171no—
1060C2×C4⋊C4—171no—
1061C2×C4⋊C4—171no—
1062C2×C4⋊C4—171no—
1063C2×C4⋊C4—171no—
1064C2×C4⋊C4—171no—
1065C2×C4⋊C4—171no—
1066C2×C4⋊C4—171no—
1067C2×C4⋊C4C22×D1711yescharacteristic
1068C2×C4⋊C4C22×D1711yescharacteristic
1069C2×C4⋊C4C22×D1711yescharacteristic
1070C2×C22⋊C4—24no—
1071C2×C22⋊C4—42no—
1072C2×C22⋊C4—171no—
1073C2×C22⋊C4—171no—
1074C2×C22⋊C4—171no—
1075C2×C22⋊C4—171no—
1076C2×C22⋊C4—171no—
1077C2×C22⋊C4—171no—
1078C2×C22⋊C4—171no—
1079C2×C22⋊C4—171no—
1080C2×C22⋊C4—171no—
1081C2×C22⋊C4—171no—
1082C2×C22⋊C4—171no—
1083C2×C22⋊C4—171no—
1084C2×C22⋊C4—171no—
1085C2×C22⋊C4—171no—
1086C2×C22⋊C4—171no—
1087C2×C22⋊C4—171no—
1088C2×C22⋊C4—171no—
1089C2×C22⋊C4—171no—
1090C2×C22⋊C4—171no—
1091C2×C22⋊C4—171no—
1092C2×C22⋊C4—171no—
1093C2×C22⋊C4—171no—
1094C2×C22⋊C4—171no—
1095C2×C22⋊C4—171no—
1096C2×C22⋊C4—344no—
1097C2×C22⋊C4—682no—
1098C2×C22⋊C4C22×D1711yescharacteristic
1099C2×C22⋊C4C22×D1711yescharacteristic
1100C2×C22⋊C4C22×D1711yescharacteristic
1101C2×C22⋊C4C22×D1711yescharacteristic
1102C2×C22⋊C4C22×D1711yescharacteristic
1103C2×C22⋊C4C22×D1711yescharacteristic
1104C2×C22⋊C4C22×D1711yescharacteristic
1105C2×C22⋊C4C22×D1711yescharacteristic
1106C2×C22⋊C4C22×D1711yescharacteristic
1107C2×C22⋊C4C22×D1711yescharacteristic
1108C2×C22⋊C4C22×D1711yescharacteristic
1109C2×C22⋊C4C22×D1711yescharacteristic
1110C2×C22⋊C4C22×D1711yescharacteristic
1111C2×C22⋊C4C22×D1711yescharacteristic
1112C2×C42—171no—
1113C2×C42—171no—
1114C2×C42—171no—
1115C2×C42—171no—
1116C2×C42—171no—
1117C2×C42—171no—
1118C2×C42—171no—
1119C2×C42—171no—
1120C2×C42—171no—
1121C2×C42—171no—
1122C2×C42—171no—
1123C2×C42—171no—
1124C2×C42—171no—
1125C2×C42—171no—
1126C2×C42—171no—
1127C2×C42—171no—
1128C2×C42—171no—
1129C2×C42—171no—
1130C2×C42—171no—
1131C2×C42—682no—
1132C2×C42—682no—
1133C2×C42C22×D1711yescharacteristic
1134C2×C42C22×D1711yescharacteristic
1135C2×C42C22×D1711yescharacteristic
1136#95—171no—
1137#95—171no—
1138#95—171no—
1139#95—171no—
1140#95—171no—
1141#95—171no—
1142#95—171no—
1143#95—171no—
1144#95—171no—
1145#95—171no—
1146#95—171no—
1147#95—171no—
1148#95—171no—
1149#95—171no—
1150#95—171no—
1151#95—171no—
1152#95—171no—
1153#95—171no—
1154#95—171no—
1155#95—171no—
1156#95—171no—
1157#95—171no—
1158#95—171no—
1159#95—171no—
1160#95—171no—
1161#95—171no—
1162#95—171no—
1163#95—171no—
1164#95—171no—
1165#95—171no—
1166#95—171no—
1167#95—171no—
1168#95—171no—
1169#95—171no—
1170#95—171no—
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95—171no—
1178#95C22×D1711yescharacteristic
1179#95C22×D1711yescharacteristic
1180#95C22×D1711yescharacteristic
1181#95C22×D1711yescharacteristic
1182#95C22×D1711yescharacteristic
1183#95C22×D1711yescharacteristic
1184C17#3422811yescharacteristic, complemented, Sylow
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—41no—
1190C24—41no—
1191C24—171no—
1192C24C2×C4×D1714yes—
1193C24C23×D1711yescharacteristic
1194C24C23×D1711yescharacteristic
1195C24C23×D1711yescharacteristic
1196C24C23×D1711yescharacteristic
1197#41—6816no—
1198C2×Q8—174no—
1199C2×Q8—681no—
1200C2×Q8—681no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—174no—
1208C2×D4—174no—
1209C2×D4—174no—
1210C2×D4—174no—
1211C2×D4—342no—
1212C2×D4—342no—
1213C2×D4—342no—
1214C2×D4—342no—
1215C2×D4—681no—
1216C2×D4—681no—
1217C2×D4—681no—
1218C2×D4—681no—
1219C2×D4C2×C4×D1714yes—
1220C2×D4C2×C4×D1714yes—
1221C2×D4C2×C4×D1714yes—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—174no—
1238C22×C4—174no—
1239C22×C4—171no—
1240C22×C4—171no—
1241C22×C4—171no—
1242C22×C4—171no—
1243C22×C4—171no—
1244C22×C4—171no—
1245C22×C4—171no—
1246C22×C4—171no—
1247C22×C4—171no—
1248C22×C4—174no—
1249C22×C4—174no—
1250C22×C4—174no—
1251C22×C4—174no—
1252C22×C4—174no—
1253C22×C4—174no—
1254C22×C4—171no—
1255C22×C4—171no—
1256C22×C4—171no—
1257C22×C4—171no—
1258C22×C4—171no—
1259C22×C4—171no—
1260C22×C4—342no—
1261C22×C4—342no—
1262C22×C4—342no—
1263C22×C4—342no—
1264C22×C4—342no—
1265C22×C4—342no—
1266C22×C4—342no—
1267C22×C4—342no—
1268C22×C4—342no—
1269C22×C4—342no—
1270C22×C4—342no—
1271C22×C4—342no—
1272C22×C4—342no—
1273C22×C4—681no—
1274C22×C4—681no—
1275C22×C4—681no—
1276C22×C4—681no—
1277C22×C4—681no—
1278C22×C4—681no—
1279C22×C4—681no—
1280C22×C4—681no—
1281C22×C4—6816no—
1282C22×C4—681no—
1283C22×C4—681no—
1284C22×C4—681no—
1285C22×C4—681no—
1286C22×C4—681no—
1287C22×C4—681no—
1288C22×C4—681no—
1289C22×C4—681no—
1290C22×C4—681no—
1291C22×C4—681no—
1292C22×C4—681no—
1293C22×C4—681no—
1294C22×C4—681no—
1295C22×C4—681no—
1296C22×C4—681no—
1297C22×C4—681no—
1298C22×C4C23×D1711yescharacteristic
1299C22×C4C23×D1711yescharacteristic
1300C22×C4C23×D1711yescharacteristic
1301C22×C4C23×D1711yescharacteristic
1302C22×C4C23×D1711yescharacteristic
1303C22×C4C23×D1711yescharacteristic
1304C22×C4C23×D1711yescharacteristic
1305C22×C4C23×D1711yescharacteristic
1306C22×C4C23×D1711yescharacteristic
1307C22×C4C23×D1711yescharacteristic
1308C22×C4C23×D1711yescharacteristic
1309C4⋊C4—22no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—174no—
1313C4⋊C4—174no—
1314C4⋊C4—174no—
1315C4⋊C4—174no—
1316C4⋊C4—174no—
1317C4⋊C4—174no—
1318C4⋊C4—342no—
1319C4⋊C4—342no—
1320C4⋊C4—342no—
1321C4⋊C4—681no—
1322C4⋊C4—681no—
1323C4⋊C4—681no—
1324C4⋊C4—681no—
1325C4⋊C4—681no—
1326C4⋊C4—681no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—174no—
1338C22⋊C4—174no—
1339C22⋊C4—174no—
1340C22⋊C4—174no—
1341C22⋊C4—174no—
1342C22⋊C4—174no—
1343C22⋊C4—174no—
1344C22⋊C4—174no—
1345C22⋊C4—342no—
1346C22⋊C4—342no—
1347C22⋊C4—342no—
1348C22⋊C4—342no—
1349C22⋊C4—342no—
1350C22⋊C4—342no—
1351C22⋊C4—342no—
1352C22⋊C4—342no—
1353C22⋊C4—681no—
1354C22⋊C4—681no—
1355C22⋊C4—681no—
1356C22⋊C4—681no—
1357C22⋊C4—681no—
1358C22⋊C4—681no—
1359C22⋊C4—681no—
1360C22⋊C4—681no—
1361C22⋊C4C2×C4×D1714yes—
1362C22⋊C4C2×C4×D1714yes—
1363C22⋊C4C2×C4×D1714yes—
1364C22⋊C4#6325414yescomplemented
1365C42—22no—
1366C42—41no—
1367C42—41no—
1368C42—174no—
1369C42—174no—
1370C42—342no—
1371C42—342no—
1372C42—342no—
1373C42—681no—
1374C42—681no—
1375C42—681no—
1376C42—681no—
1377C42—681no—
1378C42—681no—
1379C42—681no—
1380C42—681no—
1381C42—681no—
1382C42—681no—
1383C42—681no—
1384C42—681no—
1385C42—681no—
1386C42—681no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—28no—
1396C23—28no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—172no—
1415C23—341no—
1416C23—341no—
1417C23—341no—
1418C23—341no—
1419C23—341no—
1420C23—341no—
1421C23C22×C4×D1712yes—
1422C23C22×C4×D1712yes—
1423C23C22×C4×D1712yes—
1424C23C22×C4×D1712yes—
1425C23C2×#6325412yes—
1426C23#1058769112yes—
1427C23#41×D1712yes—
1428C23#1058769612yes—
1429C23C24×D1711yescharacteristic
1430Q8—684no—
1431D4—28no—
1432D4—28no—
1433D4—44no—
1434D4—348no—
1435D4—348no—
1436D4—684no—
1437D4—684no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4—172no—
1472C2×C4—172no—
1473C2×C4—172no—
1474C2×C4—172no—
1475C2×C4—172no—
1476C2×C4—172no—
1477C2×C4—172no—
1478C2×C4—172no—
1479C2×C4—172no—
1480C2×C4—348no—
1481C2×C4—348no—
1482C2×C4—341no—
1483C2×C4—341no—
1484C2×C4—341no—
1485C2×C4—341no—
1486C2×C4—341no—
1487C2×C4—341no—
1488C2×C4—341no—
1489C2×C4—341no—
1490C2×C4—341no—
1491C2×C4—341no—
1492C2×C4—341no—
1493C2×C4—341no—
1494C2×C4—341no—
1495C2×C4—341no—
1496C2×C4—341no—
1497C2×C4—341no—
1498C2×C4—341no—
1499C2×C4—341no—
1500C2×C4—341no—
1501C2×C4—341no—
1502C2×C4—341no—
1503C2×C4—341no—
1504C2×C4—341no—
1505C2×C4—341no—
1506C2×C4—341no—
1507C2×C4—341no—
1508C2×C4—341no—
1509C2×C4—341no—
1510C2×C4—341no—
1511C2×C4—341no—
1512C2×C4—341no—
1513C2×C4—341no—
1514C2×C4—341no—
1515C2×C4—341no—
1516C2×C4—341no—
1517C2×C4—341no—
1518C2×C4—684no—
1519C2×C4—684no—
1520C2×C4—684no—
1521C2×C4—684no—
1522C2×C4—684no—
1523C2×C4—684no—
1524C2×C4—684no—
1525C2×C4—684no—
1526C2×C4—1362no—
1527C2×C4—1362no—
1528C2×C4—1362no—
1529C2×C4—1362no—
1530C2×C4—1362no—
1531C2×C4C22×C4×D1712yes—
1532C2×C4C22×C4×D1712yes—
1533C2×C4C22×C4×D1712yes—
1534C2×C4C2×#6325412yes—
1535C2×C4C2×#6325412yes—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—416no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—342no—
1564C22—342no—
1565C22—342no—
1566C22—681no—
1567C22—681no—
1568C22—681no—
1569C22—681no—
1570C22C4×#6325414yes—
1571C22#1176328114yes—
1572C22C23×C4×D1711yescharacteristic
1573C22C2×#41×D1711yescharacteristic
1574C22C22×#6325411yescharacteristic
1575C22C2×#1058769111yescharacteristic
1576C22C2×#1058769611yescharacteristic
1577C22#1176364411yescharacteristic
1578C22#1176364411yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—342no—
1591C4—342no—
1592C4—342no—
1593C4—342no—
1594C4—342no—
1595C4—342no—
1596C4—342no—
1597C4—342no—
1598C4—342no—
1599C4—681no—
1600C4—681no—
1601C4—681no—
1602C4—681no—
1603C4—681no—
1604C4—681no—
1605C2—24no—
1606C2—24no—
1607C2—42no—
1608C2—42no—
1609C2—682no—
1610C2C2×C4×#6325411yescharacteristic
1611C2C2×#1176328111yescharacteristic
1612C2#1454198211yescharacteristic
1613C2#1454270911yescharacteristic
1614C2#1454271111yescharacteristic
1615C2#1454271711yescharacteristic
1616C2#1454272511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2358C2
socle, cosocleC23×C17C25
prime radicalC2×#11763315C2
hypercenter#2358D17
hypocenterC17#34228
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. #14531865C2semidirect
3. #14531862C2semidirect
4. #14531832C2semidirect
5. #14531829C2semidirect
6. #14531768C2semidirect
7. #14531763C2semidirect
8. #14531763C2semidirect
9. #14531756C2semidirect
10. #14531754C2semidirect
11. #14531722C2semidirect
12. #14531719C2semidirect
13. #14531642C2semidirect
14. #14531638C2semidirect
15. #14531610C2semidirect
16. #14531609C2semidirect
17. #14531550C2semidirect
18. #14531543C2semidirect
19. #14531541C2semidirect
20. #14531534C2semidirect
21. #14531412C2semidirect
22. #14531410C2semidirect
23. #14531309C2semidirect
24. C4×#10587572C2semidirect
25. #14531303C2semidirect
26. C4×#10587621C2semidirect
27. C2×#11762670C2semidirect
28. #14531145C2semidirect
29. #14531143C2semidirect
30. C2×C22⋊C4×Dic17C2semidirect
31. C17×#2358C2semidirect
34. #11763315C4semidirect
57. #11762715C22semidirect
58. #11762714C22semidirect
59. #11762713C22semidirect
60. #11762713C22semidirect
66. #11762703C22semidirect
67. #11762703C22semidirect
70. #11762701C22semidirect
71. #11762701C22semidirect
72. #11762699C22semidirect
73. #11762699C22semidirect
76. #11762697C22semidirect
77. #11762697C22semidirect
78. #11762696C22semidirect
79. #11762696C22semidirect
80. #11762696C22semidirect
81. #11762696C22semidirect
82. #11762694C22semidirect
83. #11762694C22semidirect
84. #11762693C22semidirect
85. #11762693C22semidirect
86. #11762692C22semidirect
87. #11762692C22semidirect
88. #11762691C22semidirect
89. #11762691C22semidirect
90. #11762690C22semidirect
91. #11762690C22semidirect
92. #11762690C22semidirect
93. #11762690C22semidirect
99. #11762688C22semidirect
102. #11762686C22semidirect
105. #11762685C22semidirect
106. #11762685C22semidirect
113. #11762676C22semidirect
114. #11762676C22semidirect
115. #11762674C22semidirect
116. #11762673C22semidirect
117. #11762671C22semidirect
126. #11762670C22semidirect
127. #11762667C22semidirect
128. #11762666C22semidirect
129. C4⋊C4×Dic17C22semidirect
130. C4⋊C4×Dic17C22semidirect
131. C4⋊C4×Dic17C22semidirect
132. C4×#63225C22semidirect
133. C4×#63225C22semidirect
134. C4×#63225C22semidirect
135. C4×C4⋊Dic17C22semidirect
136. C4×C4⋊Dic17C22semidirect
137. #11762660C22semidirect
138. #11762660C22semidirect
151. C22⋊C4×Dic17C22semidirect
152. C22⋊C4×Dic17C22semidirect
153. C22⋊C4×Dic17C22semidirect
154. C4×#63227C22semidirect
155. C4×#63227C22semidirect
156. C4×#63227C22semidirect
159. C4×C22⋊Dic17C22semidirect
160. C4×C22⋊Dic17C22semidirect
161. #11762656C22semidirect
162. #11762656C22semidirect
163. #11762655C22semidirect
164. #11762654C22semidirect
171. C2×#10587502C22semidirect
172. #95×D17C22semidirect
203. C23×Dic17C2×C4semidirect
218. C2×#63254C2×C4semidirect
223. C17×#120C2×C4semidirect
248. #10587639C2×C4semidirect
267. #10587625C2×C4semidirect
268. #10587625C2×C4semidirect
269. #10587621C2×C4semidirect
272. D4×Dic17C2×C4semidirect
273. D4×Dic17C2×C4semidirect
320. #10587572C2×C4semidirect
323. #10587567C2×C4semidirect
324. #10587567C2×C4semidirect
325. #10587564C2×C4semidirect
326. #10587564C2×C4semidirect
327. #10587563C2×C4semidirect
516. C22⋊C4×C17#41semidirect
535. C22⋊Dic17#41semidirect
736. #2358D17semidirect
1038. #120C4×D17semidirect
1184. C17#34228semidirect
1364. C22⋊C4#63254semidirect

Maximal subgroups

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

subgroupindex
C2×#117633152
#145318652
#145318622
#145318322
#145318292
#145317682
#145317632
#145317562
#145317542
#145317222
#145317192
#145316422
#145316382
#145316102
#145316092
#145315502
#145315432
#145315412
#145315342
#145314122
#145314102
#145313092
C4×#105875722
#145313032
C4×#105876212
C2×#117626702
#145311452
#145311432
C2×C22⋊C4×Dic172
C17×#23582
#3422817