Finite Group Databasebeta

← #17197851

Subgroups — #17197851

Order 4352.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763391C211yesmaximal, characteristic
2#14531971C211yesmaximal, characteristic, complemented
3#14531954C211yesmaximal, characteristic, complemented
4#14531941C211yesmaximal, characteristic, complemented
5#14531934C211yesmaximal, characteristic, complemented
6#14531899C211yesmaximal, characteristic, complemented
7#14531868C211yesmaximal, characteristic, complemented
8#14531857C211yesmaximal, characteristic, complemented
9#14531833C211yesmaximal, characteristic, complemented
10#14531796C211yesmaximal, characteristic, complemented
11#14531786C211yesmaximal, characteristic, complemented
12#14531770C211yesmaximal, characteristic, complemented
13#14531727C211yesmaximal, characteristic, complemented
14#14531712C211yesmaximal, characteristic, complemented
15#14531690C211yesmaximal, characteristic, complemented
16C4⋊C4×C22⋊D17C211yesmaximal, characteristic, complemented
17#14531591C211yesmaximal, characteristic, complemented
18#14531574C211yesmaximal, characteristic, complemented
19#14531553C211yesmaximal, characteristic, complemented
20#14531552C211yesmaximal, characteristic, complemented
21#14531490C211yesmaximal, characteristic, complemented
22#14531482C211yesmaximal, characteristic, complemented
23#14531474C211yesmaximal, characteristic, complemented
24#14531453C211yesmaximal, characteristic, complemented
25#14531443C211yesmaximal, characteristic, complemented
26#14531440C211yesmaximal, characteristic, complemented
27#14531378C211yesmaximal, characteristic, complemented
28C4×#10587623C211yesmaximal, characteristic, complemented
29C4×#10587623C211yesmaximal, characteristic, complemented
30D17×#385C211yesmaximal, characteristic, complemented
31C17×#2361C211yesmaximal, characteristic, complemented
32C23×C4×D17C2211yescharacteristic
33#11763391C4116yescomplemented
34C2×#10587584C2211yescharacteristic
35C2×#10587565C2211yescharacteristic
36C2×#10587622C2211yescharacteristic
37C2×#10587571C2211yescharacteristic
38C2×#10587615C2211yescharacteristic
39C2×#10587621C2211yescharacteristic
40C2×#10587582C2211yescharacteristic
41C2×#10587625C2211yescharacteristic
42C2×#10587624C2211yescharacteristic
43C2×#10587623C2211yescharacteristic
44C2×#10587623C2211yescharacteristic
45C2×#10587573C2211yescharacteristic, complemented
46C2×C4×C22⋊D17C2211yescharacteristic
47C2×C4×C22⋊D17C2211yescharacteristic
48C2×C4×C22⋊D17C2211yescharacteristic
49C2×C4×C22⋊D17C2211yescharacteristic
50C2×C4×C22⋊D17C2211yescharacteristic
51C2×C4×C22⋊D17C2211yescharacteristic
52C2×#10587567C2211yescharacteristic
53C2×#10587567C2211yescharacteristic
54C2×#10587563C2211yescharacteristic, complemented
55C2×C4⋊C4×D17C2211yescharacteristic
56C2×C4⋊C4×D17C2211yescharacteristic
57C2×C22⋊C4×D17C2211yescharacteristic
58C2×C22⋊C4×D17C2211yescharacteristic
59#11762715C2211yescharacteristic, complemented
60#11762713C2211yescharacteristic, complemented
61#11762713C2211yescharacteristic, complemented
62#11762712C2211yescharacteristic
63#11762712C2211yescharacteristic, complemented
64#11762709C2211yescharacteristic
65#11762709C2211yescharacteristic
66#11762707C2211yescharacteristic, complemented
67#11762706C2211yescharacteristic, complemented
68#11762706C2211yescharacteristic, complemented
69#11762704C2211yescharacteristic, complemented
70#11762704C2211yescharacteristic, complemented
71#11762704C2211yescharacteristic, complemented
72#11762704C2211yescharacteristic, complemented
73#11762703C2211yescharacteristic
74#11762703C2211yescharacteristic
75#11762703C2211yescharacteristic
76#11762703C2211yescharacteristic, complemented
77#11762703C2211yescharacteristic, complemented
78#11762703C2211yescharacteristic, complemented
79#11762702C2211yescharacteristic
80#11762702C2211yescharacteristic, complemented
81#11762701C2211yescharacteristic
82#11762701C2211yescharacteristic
83#11762700C2211yescharacteristic
84#11762700C2211yescharacteristic
85#11762699C2211yescharacteristic
86#11762699C2211yescharacteristic
87#11762698C2211yescharacteristic
88#11762698C2211yescharacteristic
89#11762697C2211yescharacteristic
90#11762697C2211yescharacteristic
91#11762697C2211yescharacteristic
92#11762697C2211yescharacteristic, complemented
93#11762697C2211yescharacteristic, complemented
94#11762697C2211yescharacteristic, complemented
95#11762696C2211yescharacteristic, complemented
96#11762695C2211yescharacteristic, complemented
97#11762695C2211yescharacteristic, complemented
98#11762694C2211yescharacteristic, complemented
99#11762693C2211yescharacteristic, complemented
100#11762693C2211yescharacteristic, complemented
101#11762693C2211yescharacteristic, complemented
102#11762693C2211yescharacteristic, complemented
103#11762692C2211yescharacteristic, complemented
104#11762690C2211yescharacteristic, complemented
105#11762690C2211yescharacteristic, complemented
106#11762690C2211yescharacteristic, complemented
107#11762689C2211yescharacteristic
108#11762689C2211yescharacteristic
109#11762689C2211yescharacteristic
110#11762689C2211yescharacteristic, complemented
111#11762688C2211yescharacteristic
112#11762686C2211yescharacteristic
113#11762685C2211yescharacteristic
114#11762685C2211yescharacteristic
115#11762685C2211yescharacteristic
116#11762685C2211yescharacteristic
117#11762685C2211yescharacteristic
118#11762685C2211yescharacteristic
119#11762684C2211yescharacteristic
120#11762684C2211yescharacteristic, complemented
121#11762683C2211yescharacteristic
122#11762683C2211yescharacteristic
123#11762683C2211yescharacteristic
124#11762682C2211yescharacteristic
125#11762682C2211yescharacteristic, complemented
126#11762682C2211yescharacteristic, complemented
127#11762682C2211yescharacteristic, complemented
128#11762682C2211yescharacteristic, complemented
129#11762681C2211yescharacteristic
130#11762681C2211yescharacteristic
131#11762681C2211yescharacteristic
132#11762680C2211yescharacteristic
133#11762680C2211yescharacteristic
134#11762680C2211yescharacteristic
135#11762680C2211yescharacteristic
136#11762680C2211yescharacteristic
137#11762680C2211yescharacteristic
138#11762680C2211yescharacteristic
139#11762678C2211yescharacteristic, complemented
140#11762676C2211yescharacteristic, complemented
141#11762673C2211yescharacteristic, complemented
142#11762673C2211yescharacteristic, complemented
143#11762672C2211yescharacteristic, complemented
144#11762669C2211yescharacteristic, complemented
145#11762668C2211yescharacteristic
146#11762667C2211yescharacteristic, complemented
147#11762667C2211yescharacteristic, complemented
148#11762666C2211yescharacteristic
149#11762664C2211yescharacteristic
150#11762664C2211yescharacteristic
151C4⋊C4×Dic17C2211yescharacteristic, complemented
152C4⋊C4×Dic17C2211yescharacteristic, complemented
153C4⋊C4×Dic17C2211yescharacteristic, complemented
154C4×#63225C2211yescharacteristic, complemented
155C4×#63225C2211yescharacteristic, complemented
156#11762660C2211yescharacteristic, complemented
157C22⋊C4×Dic17C2211yescharacteristic, complemented
158C4×#63227C2211yescharacteristic
159C4×#63227C2211yescharacteristic
160C4×#63227C2211yescharacteristic
161C4×#63227C2211yescharacteristic
162C4×#63227C2211yescharacteristic
163C4×#63227C2211yescharacteristic
164C4×C22⋊Dic17C2211yescharacteristic
165C4×C22⋊Dic17C2211yescharacteristic
166C4×C22⋊Dic17C2211yescharacteristic, complemented
167#11762656C2211yescharacteristic
168#11762656C2211yescharacteristic
169#11762654C2211yescharacteristic, complemented
170C2×#10587502C2211yescharacteristic, complemented
171#95×D17C2211yescharacteristic
172#95×D17C2211yescharacteristic
173C2×C17×#121C2211yescharacteristic
174C2×C4×D4×C17C2211yescharacteristic
175C2×C4×D4×C17C2211yescharacteristic
176C2×C4×D4×C17C2211yescharacteristic, complemented
177C22×C4⋊C4×C17C2211yescharacteristic, complemented
178C17×#390C2211yescharacteristic
179C17×#389C2211yescharacteristic, complemented
180C17×#388C2211yescharacteristic
181C17×#388C2211yescharacteristic, complemented
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic, complemented
184C17×#385C2211yescharacteristic
185C17×#385C2211yescharacteristic, complemented
186C4×C4⋊C4×C17C2211yescharacteristic, complemented
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C24×D17C2311yescharacteristic
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×Dic17C2311yescharacteristic
202C23×Dic17C2311yescharacteristic
203C23×Dic17C2311yescharacteristic
204C22×C4×D17—42no—
205C22×C4×D17—42no—
206C22×C4×D17—42no—
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×Dic34C2311yescharacteristic
216C17×#121C2×C418yescomplemented
217C4×D4×C17—42no—
218C4×D4×C17—42no—
219C4×D4×C17—42no—
220C2×C4⋊C4×C17—42no—
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C42×C17C2311yescharacteristic
239C2×C42×C17C2311yescharacteristic
240C2×C42×C17C2311yescharacteristic
241C2×C42×C17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258#10587625C2×C418yescomplemented
259#10587624C2×C418yescomplemented
260#10587623C2×C418yescomplemented
261#10587623C2×C418yescomplemented
262#10587622C2×C418yescomplemented
263#10587621C2×C418yescomplemented
264#10587615C2×C418yescomplemented
265C4×C22⋊D17—42no—
266C4×C22⋊D17—42no—
267C4×C22⋊D17—42no—
268C4×C22⋊D17—42no—
269C4×C22⋊D17—42no—
270C4×C22⋊D17C2×C418yescomplemented
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×C4⋊Dic17C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×#63225C2311yescharacteristic
293C2×#63225C2311yescharacteristic
294C2×#63225C2311yescharacteristic
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×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321C2×C4×Dic17C2311yescharacteristic
322C2×C4×Dic17C2311yescharacteristic
323C2×C4×Dic17C2311yescharacteristic
324#10587584C2×C418yescomplemented
325#10587582C2×C418yescomplemented
326C4⋊C4×D17—42no—
327C4⋊C4×D17—42no—
328#10587573—42no—
329#10587571C2×C418yescomplemented
330#10587567—42no—
331#10587567C2×C418yescomplemented
332C22⋊C4×D17—42no—
333C22⋊C4×D17C2×C418yescomplemented
334#10587565C2×C418yescomplemented
335#10587563—42no—
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
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×C17C2411yescharacteristic
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C23×D17—22no—
380C23×D17—22no—
381C23×D17—41no—
382C23×D17—41no—
383C23×D17—41no—
384C23×D17—41no—
385C23×D17C22×C414yes—
386C23×D17C2411yescharacteristic
387C23×D17C2411yescharacteristic
388C2×D4×C17—41no—
389C2×D4×C17—41no—
390C2×D4×C17—41no—
391C2×D4×C17—41no—
392C2×D4×C17—41no—
393C2×D4×C17—41no—
394C2×D4×C17C22×C414yes—
395C2×D4×C17C22×C414yes—
396C2×D4×C17C22×C414yescomplemented
397C22×C4×C17—22no—
398C22×C4×C17—22no—
399C22×C4×C17—22no—
400C22×C4×C17—22no—
401C22×C4×C17—41no—
402C22×C4×C17—41no—
403C22×C4×C17—41no—
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×C17C22×C414yescomplemented
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
423C22×C4×C17C2411yescharacteristic
424C2×C22⋊D17—22no—
425C2×C22⋊D17—22no—
426C2×C22⋊D17—22no—
427C2×C22⋊D17—22no—
428C2×C22⋊D17—41no—
429C2×C22⋊D17—41no—
430C2×C22⋊D17—41no—
431C2×C22⋊D17—41no—
432C2×C22⋊D17C22×C414yes—
433C2×C22⋊D17C22×C414yes—
434C2×C22⋊D17C22×C414yes—
435C2×C22⋊D17C22×C414yes—
436C22×Dic17—41no—
437C22×Dic17—41no—
438C22×Dic17—41no—
439C22×Dic17—41no—
440C22×Dic17—41no—
441C22×Dic17—41no—
442C22×Dic17—41no—
443C22×Dic17—41no—
444C22×Dic17C22×C414yescomplemented
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451C22×Dic17C2411yescharacteristic
452C22×Dic17C2411yescharacteristic
453C22×Dic17C2411yescharacteristic
454C22×Dic17C2411yescharacteristic
455C22×Dic17C2411yescharacteristic
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459C2×C4×D17—22no—
460C2×C4×D17—22no—
461C2×C4×D17—22no—
462C2×C4×D17—22no—
463C2×C4×D17—22no—
464C2×C4×D17—22no—
465C2×C4×D17—22no—
466C2×C4×D17—22no—
467C2×C4×D17—41no—
468C2×C4×D17—41no—
469C2×C4×D17—41no—
470C2×C4×D17—41no—
471C2×C4×D17—41no—
472C2×C4×D17—41no—
473C2×C4×D17—41no—
474C2×C4×D17—41no—
475C2×C4×D17—41no—
476C2×C4×D17—41no—
477C2×C4×D17—416no—
478C2×C4×D17—41no—
479C2×C4×D17—41no—
480C2×C4×D17—41no—
481C2×C4×D17—41no—
482C2×C4×D17C22×C414yes—
483C2×C4×D17C22×C414yes—
484C2×Dic34—41no—
485C2×Dic34—41no—
486C2×Dic34C22×C414yescomplemented
487C4⋊C4×C17—22no—
488C4⋊C4×C17—22no—
489C4⋊C4×C17—22no—
490C4⋊C4×C17—22no—
491C4⋊C4×C17—41no—
492C4⋊C4×C17—41no—
493C4⋊C4×C17C22×C414yescomplemented
494C22⋊C4×C17—22no—
495C22⋊C4×C17—22no—
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×C17C22×C414yes—
503C22⋊C4×C17C22×C414yescomplemented
504C42×C17—41no—
505C42×C17—41no—
506C42×C17—41no—
507C42×C17—41no—
508C22⋊Dic17—41no—
509C22⋊Dic17—41no—
510C22⋊Dic17—41no—
511C22⋊Dic17—41no—
512C22⋊Dic17—41no—
513C22⋊Dic17—41no—
514C22⋊Dic17—41no—
515C22⋊Dic17—41no—
516C22⋊Dic17—41no—
517C22⋊Dic17—41no—
518C22⋊Dic17C22×C414yes—
519C22⋊Dic17C22×C414yes—
520C22⋊Dic17C22×C414yes—
521C22⋊Dic17C22×C414yescomplemented
522C22⋊Dic17C22×C414yescomplemented
523C22⋊Dic17C22×C414yescomplemented
524#63227—22no—
525#63227—22no—
526#63227—22no—
527#63227—22no—
528#63227—41no—
529#63227—41no—
530#63227—41no—
531#63227—41no—
532#63227—41no—
533#63227—41no—
534#63227C22×C414yes—
535#63227C22×C414yes—
536#63227C22×C414yes—
537#63227C22×C414yes—
538#63227C22×C414yes—
539#63227C22×C414yes—
540C4⋊Dic17—41no—
541C4⋊Dic17—41no—
542C4⋊Dic17—41no—
543C4⋊Dic17—41no—
544C4⋊Dic17C22×C414yescomplemented
545#63225—22no—
546#63225—22no—
547#63225—41no—
548#63225—41no—
549#63225—41no—
550#63225—41no—
551#63225—41no—
552#63225—41no—
553#63225—41no—
554#63225—41no—
555#63225—41no—
556#63225—41no—
557#63225—41no—
558#63225—41no—
559#63225C22×C414yescomplemented
560#63225C22×C414yescomplemented
561#63225C22×C414yescomplemented
562#63225C22×C414yescomplemented
563C4×Dic17—22no—
564C4×Dic17—22no—
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×Dic17C22×C414yescomplemented
576C4×Dic17C22×C414yescomplemented
577#34416—171nomaximal, Sylow
578C23×C17—21no—
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—21no—
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17C23×C412yes—
597C23×C17C23×C412yes—
598C23×C17C23×C412yes—
599C23×C17C2511yescharacteristic
600C22×D17—21no—
601C22×D17—21no—
602C22×D17—21no—
603C22×D17—21no—
604C22×D17—21no—
605C22×D17—21no—
606C22×D17—21no—
607C22×D17—21no—
608C22×D17—21no—
609C22×D17—21no—
610C22×D17—28no—
611C22×D17—44no—
612C22×D17—44no—
613C22×D17—44no—
614C22×D17—44no—
615C22×D17—44no—
616C22×D17—44no—
617C22×D17C23×C412yes—
618C22×D17C23×C412yes—
619C22×D17H(5,𝔽2)12yes—
620C22×D172−1+412yes—
621D4×C17—44no—
622D4×C17—44no—
623D4×C17—44no—
624C2×C4×C17—21no—
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—21no—
654C2×C4×C17—44no—
655C2×C4×C17—44no—
656C2×C4×C17—82no—
657C2×C4×C17—82no—
658C2×C4×C17—82no—
659C2×C4×C17C23×C412yes—
660C2×C4×C17C23×C412yes—
661C2×C4×C17C23×C412yes—
662C2×C4×C17C23×C412yes—
663C2×C4×C17H(5,𝔽2)12yes—
664C2×C4×C17H(5,𝔽2)12yes—
665C22⋊D17—28no—
666C22⋊D17—28no—
667C22⋊D17—44no—
668C22⋊D17—44no—
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—82no—
708C2×Dic17C23×C412yes—
709C2×Dic17C23×C412yes—
710C2×Dic17C23×C412yes—
711C2×Dic17C23×C412yes—
712C2×Dic17C23×C412yes—
713C2×Dic17C23×C412yes—
714C4×D17—44no—
715C4×D17—44no—
716C4×D17—44no—
717C4×D17—44no—
718C4×D17—44no—
719C4×D17—44no—
720C4×D17—82no—
721C4×D17—82no—
722Dic34—44no—
723C2×#538—171no—
724#2383—171no—
725#2379—171no—
726#2377—171no—
727#2376—171no—
728#2373—171no—
729#2368—171no—
730#2367—171no—
731#2364—171no—
732#2361—171no—
733#2361D1711yescharacteristic, complemented
734#2360—171no—
735#2359—171no—
736#2353—171no—
737#2352—171no—
738#2349—171no—
739D4×C4⋊C4—171no—
740#2337—171no—
741#2335—171no—
742#2334—171no—
743#2334—171no—
744#2326—171no—
745#2325—171no—
746#2324—171no—
747#2322—171no—
748#2321—171no—
749#2321—171no—
750#2312—171no—
751C4×#120—171no—
752C4×#120—171no—
753C2×#385—171no—
754C22×C17—22no—
755C22×C17—22no—
756C22×C17—22no—
757C22×C17—22no—
758C22×C17—22no—
759C22×C17—22no—
760C22×C17—22no—
761C22×C17—22no—
762C22×C17—22no—
763C22×C17—41no—
764C22×C17—41no—
765C22×C17—41no—
766C22×C17—41no—
767C22×C17—41no—
768C22×C17—41no—
769C22×C17—41no—
770C22×C17—41no—
771C22×C17—41no—
772C22×C17—41no—
773C22×C17—41no—
774C22×C17—41no—
775C22×C17C24×C411yescharacteristic
776C22×C17C2×H(5,𝔽2)11yescharacteristic
777C22×C17C2×H(5,𝔽2)11yescharacteristic
778C22×C17C2×H(5,𝔽2)11yescharacteristic
779C22×C17C2×2−1+411yescharacteristic
780C22×C17#58511yescharacteristic
781C22×C17#58511yescharacteristic
782C2×D17—22no—
783C2×D17—22no—
784C2×D17—22no—
785C2×D17—22no—
786C2×D17—22no—
787C2×D17—22no—
788C2×D17—22no—
789C2×D17—22no—
790C2×D17—22no—
791C2×D17—416no—
792C2×D17—41no—
793C2×D17—41no—
794C2×D17—41no—
795C2×D17—41no—
796C2×D17#52014yes—
797C4×C17—22no—
798C4×C17—22no—
799C4×C17—22no—
800C4×C17—22no—
801C4×C17—22no—
802C4×C17—22no—
803C4×C17—41no—
804C4×C17—41no—
805C4×C17—41no—
806C4×C17—41no—
807C4×C17—41no—
808C4×C17—41no—
809Dic17—22no—
810Dic17—22no—
811Dic17—22no—
812Dic17—22no—
813Dic17—22no—
814Dic17—22no—
815Dic17—41no—
816Dic17—41no—
817Dic17—41no—
818Dic17—41no—
819Dic17—41no—
820Dic17—41no—
821Dic17—41no—
822Dic17—41no—
823C24×C4—171no—
824#538—1716no—
825C2×#126—171no—
826C2×#126—171no—
827C2×#124—171no—
828C2×#124—171no—
829C2×#123—171no—
830C2×#123—171no—
831C2×C22⋊Q8—171no—
832C2×#121—171no—
833C2×#121—171no—
834C2×#121C2×D1711yescharacteristic
835C2×#120—171no—
836C2×#120—171no—
837C2×C4×Q8—171no—
838C2×C4×D4—171no—
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×D4C2×D1711yescharacteristic
847C2×C4×D4C2×D1711yescharacteristic
848C2×C4×D4C2×D1711yescharacteristic, complemented
849C2×#117—171no—
850C22×C4⋊C4—171no—
851C22×C4⋊C4—171no—
852C22×C4⋊C4C2×D1711yescharacteristic, complemented
853C22×C22⋊C4—171no—
854C22×C22⋊C4—171no—
855#391—171no—
856#391—171no—
857#391—171no—
858#390—171no—
859#390—171no—
860#390—171no—
861#390—171no—
862#390C2×D1711yescharacteristic
863#389—171no—
864#389—171no—
865#389—171no—
866#389—171no—
867#389—171no—
868#389—171no—
869#389—171no—
870#389C2×D1711yescharacteristic, complemented
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#388—171no—
881#388—171no—
882#388—171no—
883#388—171no—
884#388—171no—
885#388—171no—
886#388—171no—
887#388—171no—
888#388—171no—
889#388—171no—
890#388—171no—
891#388—171no—
892#388—171no—
893#388C2×D1711yescharacteristic
894#388C2×D1711yescharacteristic, complemented
895#387—171no—
896#387—171no—
897#387—171no—
898#387—171no—
899#387—171no—
900#387—171no—
901#387—171no—
902#387—171no—
903#387—171no—
904#387—171no—
905#387—171no—
906#387—171no—
907#386—171no—
908#386—171no—
909#386—171no—
910#386—171no—
911#386—171no—
912#386—171no—
913#386—171no—
914#386—171no—
915#386—171no—
916#386—171no—
917#386—171no—
918#386—171no—
919#386C2×D1711yescharacteristic
920#386C2×D1711yescharacteristic, complemented
921#385—171no—
922#385—171no—
923#385—171no—
924#385—171no—
925#385—171no—
926#385—171no—
927#385—171no—
928#385—171no—
929#385—171no—
930#385—171no—
931#385—171no—
932#385—171no—
933#385—171no—
934#385—171no—
935#385—171no—
936#385—171no—
937#385—171no—
938#385—171no—
939#385—171no—
940#385—171no—
941#385C2×D1711yescharacteristic
942#385C2×D1711yescharacteristic, complemented
943#384—171no—
944#383—171no—
945#382—171no—
946#382—171no—
947#381—171no—
948#380—171no—
949#380—171no—
950#380—171no—
951#380—171no—
952#380—171no—
953#379—171no—
954#379—171no—
955C4×C4⋊C4—171no—
956C4×C4⋊C4—171no—
957C4×C4⋊C4—171no—
958C4×C4⋊C4—171no—
959C4×C4⋊C4—171no—
960C4×C4⋊C4—171no—
961C4×C4⋊C4C2×D1711yescharacteristic, complemented
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⋊C4—171no—
973C4×C22⋊C4—171no—
974C4×C22⋊C4C2×D1711yescharacteristic, complemented
975#376—171no—
976C2×#95—171no—
977C2×#95—171no—
978C2×#95—171no—
979C2×C17—42no—
980C2×C17—42no—
981C2×C17—42no—
982C2×C17C2×#52011yescharacteristic
983C2×C17C4×H(5,𝔽2)11yescharacteristic
984C2×C17C4×H(5,𝔽2)11yescharacteristic
985C2×C17#353211yescharacteristic
986C2×C17#353311yescharacteristic
987C2×C17#354111yescharacteristic
988C2×C17#354111yescharacteristic
989D17—24no—
990D17—42no—
991C25—171no—
992C22×Q8—171no—
993C22×D4—171no—
994C22×D4—171no—
995C22×D4—171no—
996C22×D4—171no—
997C22×D4C22×D1711yescharacteristic
998C22×D4C22×D1711yescharacteristic
999C22×D4C22×D1711yescharacteristic
1000C23×C4—171no—
1001C23×C4—171no—
1002C23×C4—171no—
1003C23×C4—171no—
1004C23×C4—171no—
1005C23×C4—171no—
1006C23×C4—171no—
1007C23×C4—171no—
1008C23×C4—171no—
1009C23×C4—171no—
1010C23×C4—171no—
1011C23×C4—682no—
1012C23×C4—682no—
1013C23×C4—682no—
1014C23×C4C22×D1711yescharacteristic
1015C23×C4C22×D1711yescharacteristic
1016C23×C4C22×D1711yescharacteristic
1017C23×C4C22×D1711yescharacteristic
1018C23×C4C22×D1711yescharacteristic
1019#126—178no—
1020#126—178no—
1021#124—178no—
1022#124—178no—
1023#123—178no—
1024#123—178no—
1025C22⋊Q8—178no—
1026#121—178no—
1027#121—178no—
1028#121C4×D1718yescomplemented
1029#120—178no—
1030#120—178no—
1031C4×Q8—682no—
1032C4×D4—42no—
1033C4×D4—42no—
1034C4×D4—42no—
1035C4×D4—178no—
1036C4×D4—178no—
1037C4×D4—682no—
1038C4×D4—682no—
1039C4×D4—682no—
1040C4×D4—682no—
1041C4×D4—682no—
1042C4×D4—682no—
1043#117—682no—
1044C2×C4⋊C4—42no—
1045C2×C4⋊C4—171no—
1046C2×C4⋊C4—171no—
1047C2×C4⋊C4—171no—
1048C2×C4⋊C4—171no—
1049C2×C4⋊C4—171no—
1050C2×C4⋊C4—171no—
1051C2×C4⋊C4—171no—
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⋊C4—171no—
1068C2×C4⋊C4—682no—
1069C2×C4⋊C4—682no—
1070C2×C4⋊C4C22×D1711yescharacteristic
1071C2×C4⋊C4C22×D1711yescharacteristic
1072C2×C4⋊C4C22×D1711yescharacteristic
1073C2×C4⋊C4C22×D1711yescharacteristic
1074C2×C4⋊C4C22×D1711yescharacteristic
1075C2×C4⋊C4C22×D1711yescharacteristic
1076C2×C4⋊C4C22×D1711yescharacteristic
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—178no—
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—171no—
1097C2×C22⋊C4—171no—
1098C2×C22⋊C4—171no—
1099C2×C22⋊C4—171no—
1100C2×C22⋊C4—171no—
1101C2×C22⋊C4—171no—
1102C2×C22⋊C4—171no—
1103C2×C22⋊C4—171no—
1104C2×C22⋊C4—171no—
1105C2×C22⋊C4—171no—
1106C2×C22⋊C4—171no—
1107C2×C22⋊C4—171no—
1108C2×C22⋊C4—171no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—682no—
1111C2×C22⋊C4C22×D1711yescharacteristic
1112C2×C22⋊C4C22×D1711yescharacteristic
1113C2×C22⋊C4C22×D1711yescharacteristic
1114C2×C22⋊C4C22×D1711yescharacteristic
1115C2×C22⋊C4C22×D1711yescharacteristic
1116C2×C22⋊C4C22×D1711yescharacteristic
1117C2×C22⋊C4C22×D1711yescharacteristic
1118C2×C22⋊C4C22×D1711yescharacteristic
1119C2×C22⋊C4C22×D1711yescharacteristic
1120C2×C22⋊C4C22×D1711yescharacteristic
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—171no—
1132C2×C42—171no—
1133C2×C42—171no—
1134C2×C42—171no—
1135C2×C42C22×D1711yescharacteristic
1136C2×C42C22×D1711yescharacteristic
1137C2×C42C22×D1711yescharacteristic
1138C2×C42C22×D1711yescharacteristic
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#95C22×D1711yescharacteristic
1174#95C22×D1711yescharacteristic
1175#95C22×D1711yescharacteristic
1176#95C22×D1711yescharacteristic
1177#95C22×D1711yescharacteristic
1178#95C22×D1711yescharacteristic
1179C17#3441611yescharacteristic, complemented, Sylow
1180C24—171no—
1181C24—171no—
1182C24—174no—
1183C24—342no—
1184C24—342no—
1185C24—681no—
1186C24—681no—
1187C24—681no—
1188C24—681no—
1189C24C23×D1711yescharacteristic
1190C24C23×D1711yescharacteristic
1191C24C23×D1711yescharacteristic
1192C2×Q8—174no—
1193C2×Q8—681no—
1194C2×Q8—681no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—174no—
1202C2×D4—174no—
1203C2×D4—174no—
1204C2×D4—174no—
1205C2×D4—342no—
1206C2×D4—342no—
1207C2×D4—342no—
1208C2×D4—342no—
1209C2×D4—681no—
1210C2×D4—681no—
1211C2×D4—681no—
1212C2×D4—681no—
1213C2×D4C2×C4×D1714yes—
1214C2×D4C2×C4×D1714yes—
1215C2×D4C2×C4×D1714yescomplemented
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—171no—
1231C22×C4—171no—
1232C22×C4—171no—
1233C22×C4—171no—
1234C22×C4—171no—
1235C22×C4—171no—
1236C22×C4—174no—
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—342no—
1248C22×C4—342no—
1249C22×C4—342no—
1250C22×C4—342no—
1251C22×C4—342no—
1252C22×C4—342no—
1253C22×C4—342no—
1254C22×C4—342no—
1255C22×C4—681no—
1256C22×C4—681no—
1257C22×C4—681no—
1258C22×C4—681no—
1259C22×C4—681no—
1260C22×C4—681no—
1261C22×C4—681no—
1262C22×C4—681no—
1263C22×C4—681no—
1264C22×C4—681no—
1265C22×C4—681no—
1266C22×C4—681no—
1267C22×C4—681no—
1268C22×C4—681no—
1269C22×C4—6816no—
1270C22×C4—681no—
1271C22×C4—681no—
1272C22×C4—681no—
1273C22×C4—681no—
1274C22×C4—681no—
1275C22×C4—681no—
1276C22×C4—681no—
1277C22×C4—681no—
1278C22×C4C2×C4×D1714yescomplemented
1279C22×C4C23×D1711yescharacteristic
1280C22×C4C23×D1711yescharacteristic
1281C22×C4C23×D1711yescharacteristic
1282C22×C4C23×D1711yescharacteristic
1283C22×C4C23×D1711yescharacteristic
1284C22×C4C23×D1711yescharacteristic
1285C22×C4C23×D1711yescharacteristic
1286C22×C4C23×D1711yescharacteristic
1287C22×C4C23×D1711yescharacteristic
1288C22×C4C23×D1711yescharacteristic
1289C22×C4C23×D1711yescharacteristic
1290C22×C4C23×D1711yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—174no—
1298C4⋊C4—174no—
1299C4⋊C4—174no—
1300C4⋊C4—174no—
1301C4⋊C4—174no—
1302C4⋊C4—342no—
1303C4⋊C4—342no—
1304C4⋊C4—681no—
1305C4⋊C4—681no—
1306C4⋊C4—681no—
1307C4⋊C4—681no—
1308C4⋊C4—681no—
1309C4⋊C4—681no—
1310C4⋊C4—681no—
1311C4⋊C4—681no—
1312C4⋊C4—681no—
1313C4⋊C4—681no—
1314C4⋊C4—681no—
1315C4⋊C4—681no—
1316C4⋊C4—681no—
1317C4⋊C4—681no—
1318C4⋊C4—681no—
1319C4⋊C4—681no—
1320C4⋊C4C2×C4×D1714yescomplemented
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—174no—
1330C22⋊C4—174no—
1331C22⋊C4—174no—
1332C22⋊C4—174no—
1333C22⋊C4—174no—
1334C22⋊C4—174no—
1335C22⋊C4—174no—
1336C22⋊C4—174no—
1337C22⋊C4—174no—
1338C22⋊C4—174no—
1339C22⋊C4—174no—
1340C22⋊C4—174no—
1341C22⋊C4—342no—
1342C22⋊C4—342no—
1343C22⋊C4—342no—
1344C22⋊C4—342no—
1345C22⋊C4—681no—
1346C22⋊C4—681no—
1347C22⋊C4—681no—
1348C22⋊C4—681no—
1349C22⋊C4—681no—
1350C22⋊C4—681no—
1351C22⋊C4—681no—
1352C22⋊C4—681no—
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×D1714yescomplemented
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—174no—
1368C42—174no—
1369C42—342no—
1370C42—342no—
1371C42—681no—
1372C42—681no—
1373C42—681no—
1374C42—681no—
1375C42—681no—
1376C42—681no—
1377C42—681no—
1378C42—681no—
1379C42—681no—
1380C42—681no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—172no—
1400C23—172no—
1401C23—172no—
1402C23—172no—
1403C23—348no—
1404C23—341no—
1405C23—341no—
1406C23—341no—
1407C23—341no—
1408C23—341no—
1409C23—341no—
1410C23—341no—
1411C23—341no—
1412C23—341no—
1413C23—341no—
1414C23—684no—
1415C23—684no—
1416C23—684no—
1417C23—684no—
1418C23—684no—
1419C23—684no—
1420C23C22×C4×D1712yes—
1421C23C22×C4×D1712yes—
1422C23C22×C4×D1712yes—
1423C23C24×D1711yescharacteristic
1424Q8—684no—
1425D4—44no—
1426D4—44no—
1427D4—44no—
1428D4—348no—
1429D4—348no—
1430D4—684no—
1431D4—684no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
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—44no—
1463C2×C4—44no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—172no—
1468C2×C4—172no—
1469C2×C4—172no—
1470C2×C4—172no—
1471C2×C4—172no—
1472C2×C4—172no—
1473C2×C4—341no—
1474C2×C4—341no—
1475C2×C4—341no—
1476C2×C4—341no—
1477C2×C4—341no—
1478C2×C4—341no—
1479C2×C4—341no—
1480C2×C4—341no—
1481C2×C4—341no—
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—684no—
1510C2×C4—684no—
1511C2×C4—684no—
1512C2×C4—684no—
1513C2×C4—684no—
1514C2×C4—684no—
1515C2×C4—684no—
1516C2×C4—684no—
1517C2×C4—1362no—
1518C2×C4—1362no—
1519C2×C4—1362no—
1520C2×C4C22×C4×D1712yes—
1521C2×C4C22×C4×D1712yes—
1522C2×C4C22×C4×D1712yes—
1523C2×C4C22×C4×D1712yes—
1524C2×C4#1058769112yes—
1525C2×C4#1058769112yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—174no—
1548C22—342no—
1549C22—342no—
1550C22—342no—
1551C22—342no—
1552C22—342no—
1553C22—342no—
1554C22—342no—
1555C22—342no—
1556C22—342no—
1557C22—6816no—
1558C22—681no—
1559C22—681no—
1560C22—681no—
1561C22—681no—
1562C22C23×C4×D1711yescharacteristic
1563C22H(5,𝔽2)×D1711yescharacteristic
1564C22C2×#1058769111yescharacteristic
1565C22C2×#1058769111yescharacteristic
1566C222−1+4×D1711yescharacteristic
1567C22#1176364511yescharacteristic
1568C22#1176364511yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—342no—
1582C4—342no—
1583C4—342no—
1584C4—342no—
1585C4—342no—
1586C4—342no—
1587C4—681no—
1588C4—681no—
1589C4—681no—
1590C4—681no—
1591C4—681no—
1592C4—681no—
1593C4—681no—
1594C4—681no—
1595C2—42no—
1596C2—42no—
1597C2—42no—
1598C2—344no—
1599C2—682no—
1600C2D17×#52011yescharacteristic
1601C2C4×#1058769111yescharacteristic
1602C2C4×#1058769111yescharacteristic
1603C2#1454293411yescharacteristic
1604C2#1454294211yescharacteristic
1605C2#1454306711yescharacteristic
1606C2#1454307511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2361C2
socle, cosocleC23×C17C25
prime radicalC2×#11763391C2
hypercenter#2361D17
hypocenterC17#34416
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2361

Complements

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

NH ≅ G/Ntype
2. #14531971C2semidirect
3. #14531954C2semidirect
4. #14531941C2semidirect
5. #14531934C2semidirect
6. #14531899C2semidirect
7. #14531868C2semidirect
8. #14531857C2semidirect
9. #14531833C2semidirect
10. #14531796C2semidirect
11. #14531786C2semidirect
12. #14531770C2semidirect
13. #14531727C2semidirect
14. #14531712C2semidirect
15. #14531690C2semidirect
16. C4⋊C4×C22⋊D17C2semidirect
17. #14531591C2semidirect
18. #14531574C2semidirect
19. #14531553C2semidirect
20. #14531552C2semidirect
21. #14531490C2semidirect
22. #14531482C2semidirect
23. #14531474C2semidirect
24. #14531453C2semidirect
25. #14531443C2semidirect
26. #14531440C2semidirect
27. #14531378C2semidirect
28. C4×#10587623C2semidirect
29. C4×#10587623C2semidirect
30. D17×#385C2semidirect
31. C17×#2361C2semidirect
33. #11763391C4semidirect
45. C2×#10587573C22semidirect
54. C2×#10587563C22semidirect
59. #11762715C22semidirect
60. #11762713C22semidirect
61. #11762713C22semidirect
63. #11762712C22semidirect
66. #11762707C22semidirect
67. #11762706C22semidirect
68. #11762706C22semidirect
69. #11762704C22semidirect
70. #11762704C22semidirect
71. #11762704C22semidirect
72. #11762704C22semidirect
76. #11762703C22semidirect
77. #11762703C22semidirect
78. #11762703C22semidirect
80. #11762702C22semidirect
92. #11762697C22semidirect
93. #11762697C22semidirect
94. #11762697C22semidirect
95. #11762696C22semidirect
96. #11762695C22semidirect
97. #11762695C22semidirect
98. #11762694C22semidirect
99. #11762693C22semidirect
100. #11762693C22semidirect
101. #11762693C22semidirect
102. #11762693C22semidirect
103. #11762692C22semidirect
104. #11762690C22semidirect
105. #11762690C22semidirect
106. #11762690C22semidirect
110. #11762689C22semidirect
120. #11762684C22semidirect
125. #11762682C22semidirect
126. #11762682C22semidirect
127. #11762682C22semidirect
128. #11762682C22semidirect
139. #11762678C22semidirect
140. #11762676C22semidirect
141. #11762673C22semidirect
142. #11762673C22semidirect
143. #11762672C22semidirect
144. #11762669C22semidirect
146. #11762667C22semidirect
147. #11762667C22semidirect
151. C4⋊C4×Dic17C22semidirect
152. C4⋊C4×Dic17C22semidirect
153. C4⋊C4×Dic17C22semidirect
154. C4×#63225C22semidirect
155. C4×#63225C22semidirect
156. #11762660C22semidirect
157. C22⋊C4×Dic17C22semidirect
166. C4×C22⋊Dic17C22semidirect
169. #11762654C22semidirect
170. C2×#10587502C22semidirect
176. C2×C4×D4×C17C22semidirect
177. C22×C4⋊C4×C17C22semidirect
179. C17×#389C22semidirect
181. C17×#388C22semidirect
183. C17×#386C22semidirect
185. C17×#385C22semidirect
186. C4×C4⋊C4×C17C22semidirect
187. C4×C22⋊C4×C17C22semidirect
216. C17×#121C2×C4semidirect
258. #10587625C2×C4semidirect
259. #10587624C2×C4semidirect
260. #10587623C2×C4semidirect
261. #10587623C2×C4semidirect
262. #10587622C2×C4semidirect
263. #10587621C2×C4semidirect
264. #10587615C2×C4semidirect
270. C4×C22⋊D17C2×C4semidirect
324. #10587584C2×C4semidirect
325. #10587582C2×C4semidirect
329. #10587571C2×C4semidirect
331. #10587567C2×C4semidirect
333. C22⋊C4×D17C2×C4semidirect
334. #10587565C2×C4semidirect
396. C2×D4×C17C22×C4semidirect
411. C22×C4×C17C22×C4semidirect
444. C22×Dic17C22×C4semidirect
486. C2×Dic34C22×C4semidirect
493. C4⋊C4×C17C22×C4semidirect
503. C22⋊C4×C17C22×C4semidirect
521. C22⋊Dic17C22×C4semidirect
522. C22⋊Dic17C22×C4semidirect
523. C22⋊Dic17C22×C4semidirect
544. C4⋊Dic17C22×C4semidirect
559. #63225C22×C4semidirect
560. #63225C22×C4semidirect
561. #63225C22×C4semidirect
562. #63225C22×C4semidirect
575. C4×Dic17C22×C4semidirect
576. C4×Dic17C22×C4semidirect
733. #2361D17semidirect
848. C2×C4×D4C2×D17semidirect
852. C22×C4⋊C4C2×D17semidirect
870. #389C2×D17semidirect
894. #388C2×D17semidirect
920. #386C2×D17semidirect
942. #385C2×D17semidirect
961. C4×C4⋊C4C2×D17semidirect
974. C4×C22⋊C4C2×D17semidirect
1028. #121C4×D17semidirect
1179. C17#34416semidirect
1215. C2×D4C2×C4×D17semidirect
1278. C22×C4C2×C4×D17semidirect
1320. C4⋊C4C2×C4×D17semidirect
1362. 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×#117633912
#145319712
#145319542
#145319412
#145319342
#145318992
#145318682
#145318572
#145318332
#145317962
#145317862
#145317702
#145317272
#145317122
#145316902
C4⋊C4×C22⋊D172
#145315912
#145315742
#145315532
#145315522
#145314902
#145314822
#145314742
#145314532
#145314432
#145314402
#145313782
C4×#105876232
D17×#3852
C17×#23612
#3441617