Finite Group Databasebeta

← #17198017

Subgroups — #17198017

Order 4352.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763391C211yesmaximal, characteristic
2#14531957C211yesmaximal, characteristic, complemented
3#14531954C211yesmaximal, characteristic, complemented
4#14531934C211yesmaximal, characteristic, complemented
5#14531928C211yesmaximal, characteristic, complemented
6#14531858C211yesmaximal, characteristic, complemented
7#14531854C211yesmaximal, characteristic, complemented
8#14531776C211yesmaximal, characteristic, complemented
9#14531770C211yesmaximal, characteristic, complemented
10#14531765C211yesmaximal, characteristic, complemented
11#14531765C211yesmaximal, characteristic, complemented
12#14531764C211yesmaximal, characteristic, complemented
13#14531761C211yesmaximal, characteristic, complemented
14#14531714C211yesmaximal, characteristic, complemented
15#14531712C211yesmaximal, characteristic, complemented
16#14531690C211yesmaximal, characteristic, complemented
17#14531688C211yesmaximal, characteristic, complemented
18#14531556C211yesmaximal, characteristic, complemented
19#14531554C211yesmaximal, characteristic, complemented
20#14531553C211yesmaximal, characteristic, complemented
21#14531552C211yesmaximal, characteristic, complemented
22#14531518C211yesmaximal, characteristic, complemented
23#14531489C211yesmaximal, characteristic, complemented
24#14531486C211yesmaximal, characteristic, complemented
25#14531485C211yesmaximal, characteristic, complemented
26#14531470C211yesmaximal, characteristic, complemented
27#14531395C211yesmaximal, characteristic, complemented
28C4×#10587582C211yesmaximal, characteristic, complemented
29#14531300C211yesmaximal, characteristic, complemented
30D17×#388C211yesmaximal, characteristic, complemented
31C17×#2324C211yesmaximal, characteristic, complemented
32#11763391C4116yescomplemented
33C2×#10587584C2211yescharacteristic
34C2×#10587565C2211yescharacteristic
35C2×#10587622C2211yescharacteristic
36C2×#10587571C2211yescharacteristic
37C2×#10587615C2211yescharacteristic
38C2×#10587621C2211yescharacteristic
39C2×#10587582C2211yescharacteristic
40C2×#10587625C2211yescharacteristic
41C2×#10587624C2211yescharacteristic
42C2×#10587623C2211yescharacteristic
43C2×#10587623C2211yescharacteristic
44C2×C4×Dic34C2211yescharacteristic, complemented
45C2×D4×Dic17C2211yescharacteristic
46C2×D4×Dic17C2211yescharacteristic, complemented
47C2×C4×C22⋊D17C2211yescharacteristic
48C2×C4×C22⋊D17C2211yescharacteristic
49C2×#10587567C2211yescharacteristic
50C2×#10587567C2211yescharacteristic
51C2×#10587567C2211yescharacteristic
52C2×#10587567C2211yescharacteristic
53C2×#10587567C2211yescharacteristic
54C2×#10587567C2211yescharacteristic
55C2×#10587563C2211yescharacteristic, complemented
56C2×C4⋊C4×D17C2211yescharacteristic
57C22×#63227C2211yescharacteristic
58C2×C22⋊C4×D17C2211yescharacteristic
59C2×C22⋊C4×D17C2211yescharacteristic
60C2×C22⋊C4×D17C2211yescharacteristic
61C2×C22⋊C4×D17C2211yescharacteristic
62C2×C42×D17C2211yescharacteristic
63#11762714C2211yescharacteristic, complemented
64#11762713C2211yescharacteristic, complemented
65#11762713C2211yescharacteristic, complemented
66#11762709C2211yescharacteristic
67#11762709C2211yescharacteristic
68#11762707C2211yescharacteristic, complemented
69#11762706C2211yescharacteristic, complemented
70#11762704C2211yescharacteristic, complemented
71#11762704C2211yescharacteristic, complemented
72#11762704C2211yescharacteristic, complemented
73#11762704C2211yescharacteristic, complemented
74#11762704C2211yescharacteristic, complemented
75#11762703C2211yescharacteristic
76#11762703C2211yescharacteristic, complemented
77#11762703C2211yescharacteristic, complemented
78#11762703C2211yescharacteristic, complemented
79#11762703C2211yescharacteristic, complemented
80#11762703C2211yescharacteristic, complemented
81#11762702C2211yescharacteristic
82#11762702C2211yescharacteristic, complemented
83#11762701C2211yescharacteristic
84#11762701C2211yescharacteristic
85#11762700C2211yescharacteristic
86#11762700C2211yescharacteristic
87#11762699C2211yescharacteristic
88#11762699C2211yescharacteristic
89#11762698C2211yescharacteristic
90#11762698C2211yescharacteristic
91#11762697C2211yescharacteristic
92#11762697C2211yescharacteristic
93#11762697C2211yescharacteristic
94#11762697C2211yescharacteristic
95#11762697C2211yescharacteristic
96#11762697C2211yescharacteristic, complemented
97#11762696C2211yescharacteristic, complemented
98#11762696C2211yescharacteristic, complemented
99#11762695C2211yescharacteristic, complemented
100#11762695C2211yescharacteristic, complemented
101#11762694C2211yescharacteristic, complemented
102#11762693C2211yescharacteristic, complemented
103#11762693C2211yescharacteristic, complemented
104#11762693C2211yescharacteristic, complemented
105#11762692C2211yescharacteristic, complemented
106#11762691C2211yescharacteristic, complemented
107#11762690C2211yescharacteristic, complemented
108#11762690C2211yescharacteristic, complemented
109#11762689C2211yescharacteristic
110#11762689C2211yescharacteristic
111#11762689C2211yescharacteristic
112#11762689C2211yescharacteristic, complemented
113#11762688C2211yescharacteristic
114#11762686C2211yescharacteristic
115#11762685C2211yescharacteristic
116#11762685C2211yescharacteristic
117#11762685C2211yescharacteristic
118#11762685C2211yescharacteristic
119#11762685C2211yescharacteristic
120#11762685C2211yescharacteristic
121#11762684C2211yescharacteristic
122#11762684C2211yescharacteristic, complemented
123#11762683C2211yescharacteristic
124#11762683C2211yescharacteristic
125#11762683C2211yescharacteristic
126#11762682C2211yescharacteristic
127#11762682C2211yescharacteristic
128#11762682C2211yescharacteristic, complemented
129#11762681C2211yescharacteristic
130#11762681C2211yescharacteristic
131#11762681C2211yescharacteristic, complemented
132#11762681C2211yescharacteristic, complemented
133#11762681C2211yescharacteristic, complemented
134#11762680C2211yescharacteristic
135#11762680C2211yescharacteristic
136#11762680C2211yescharacteristic
137#11762680C2211yescharacteristic
138#11762680C2211yescharacteristic
139#11762680C2211yescharacteristic
140#11762680C2211yescharacteristic
141#11762674C2211yescharacteristic, complemented
142#11762673C2211yescharacteristic, complemented
143#11762673C2211yescharacteristic, complemented
144#11762673C2211yescharacteristic, complemented
145#11762669C2211yescharacteristic, complemented
146#11762668C2211yescharacteristic
147#11762668C2211yescharacteristic
148#11762667C2211yescharacteristic, complemented
149#11762667C2211yescharacteristic, complemented
150#11762666C2211yescharacteristic
151#11762666C2211yescharacteristic
152C4⋊C4×Dic17C2211yescharacteristic, complemented
153C4⋊C4×Dic17C2211yescharacteristic, complemented
154C4⋊C4×Dic17C2211yescharacteristic, complemented
155C4×#63225C2211yescharacteristic, complemented
156C4×#63225C2211yescharacteristic, complemented
157C4×#63225C2211yescharacteristic, complemented
158#11762660C2211yescharacteristic, complemented
159C22⋊C4×Dic17C2211yescharacteristic
160C22⋊C4×Dic17C2211yescharacteristic, complemented
161C22⋊C4×Dic17C2211yescharacteristic, complemented
162C4×#63227C2211yescharacteristic
163C4×#63227C2211yescharacteristic
164C4×#63227C2211yescharacteristic
165C4×#63227C2211yescharacteristic
166C4×#63227C2211yescharacteristic
167C4×C22⋊Dic17C2211yescharacteristic
168#11762656C2211yescharacteristic
169C2×#10587502C2211yescharacteristic, complemented
170C2×#10587502C2211yescharacteristic, complemented
171#95×D17C2211yescharacteristic
172#95×D17C2211yescharacteristic
173C2×C17×#121C2211yescharacteristic
174C2×C4×D4×C17C2211yescharacteristic
175C2×C17×#117C2211yescharacteristic, complemented
176C17×#390C2211yescharacteristic
177C17×#390C2211yescharacteristic
178C17×#390C2211yescharacteristic, complemented
179C17×#389C2211yescharacteristic, complemented
180C17×#388C2211yescharacteristic
181C17×#388C2211yescharacteristic, complemented
182C17×#386C2211yescharacteristic
183C17×#386C2211yescharacteristic, complemented
184C17×#385C2211yescharacteristic
185C17×#385C2211yescharacteristic, complemented
186C17×#380C2211yescharacteristic, complemented
187C4×C4⋊C4×C17C2211yescharacteristic, complemented
188C24×D17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C22×C22⋊D17C2311yescharacteristic
199C23×Dic17C2311yescharacteristic
200C23×Dic17C2311yescharacteristic
201C23×Dic17C2311yescharacteristic
202C23×Dic17C2311yescharacteristic
203C23×Dic17C2311yescharacteristic
204C22×C4×D17C2311yescharacteristic
205C22×C4×D17C2311yescharacteristic
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×Dic34C2311yescharacteristic
213C17×#121C2×C418yescomplemented
214C4×D4×C17—42no—
215C17×#117—42no—
216C2×C4⋊C4×C17C2311yescharacteristic
217C2×C4⋊C4×C17C2311yescharacteristic
218C2×C4⋊C4×C17C2311yescharacteristic
219C2×C4⋊C4×C17C2311yescharacteristic
220C2×C4⋊C4×C17C2311yescharacteristic
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C22⋊C4×C17C2311yescharacteristic
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×C42×C17C2311yescharacteristic
236C2×C42×C17C2311yescharacteristic
237C2×C42×C17C2311yescharacteristic
238C2×C42×C17C2311yescharacteristic
239C2×C22⋊Dic17C2311yescharacteristic
240C2×C22⋊Dic17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
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
253#10587625C2×C418yescomplemented
254#10587624C2×C418yescomplemented
255#10587623C2×C418yescomplemented
256#10587623C2×C418yescomplemented
257#10587622C2×C418yescomplemented
258#10587621C2×C418yescomplemented
259D4×Dic17—42no—
260D4×Dic17—42no—
261#10587615C2×C418yescomplemented
262C4×C22⋊D17—42no—
263C4×C22⋊D17C2×C418yescomplemented
264C2×#63227—42no—
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×C4⋊Dic17C2311yescharacteristic
282C2×C4⋊Dic17C2311yescharacteristic
283C2×C4⋊Dic17C2311yescharacteristic
284C2×C4⋊Dic17C2311yescharacteristic
285C2×C4⋊Dic17C2311yescharacteristic
286C2×#63225C2311yescharacteristic
287C2×#63225C2311yescharacteristic
288C2×#63225C2311yescharacteristic
289C2×#63225C2311yescharacteristic
290C2×#63225C2311yescharacteristic
291C2×#63225C2311yescharacteristic
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×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
318#10587584C2×C418yescomplemented
319#10587582C2×C418yescomplemented
320C4⋊C4×D17—42no—
321#10587571C2×C418yescomplemented
322#10587567—42no—
323#10587567—42no—
324#10587567—42no—
325#10587567—42no—
326#10587567—42no—
327#10587567C2×C418yescomplemented
328C22⋊C4×D17—42no—
329C22⋊C4×D17—42no—
330C22⋊C4×D17—42no—
331C22⋊C4×D17C2×C418yescomplemented
332#10587565C2×C418yescomplemented
333#10587563—42no—
334C42×D17—42no—
335C4×Dic34—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×C414yes—
397C22×C4×C17—41no—
398C22×C4×C17—41no—
399C22×C4×C17—41no—
400C22×C4×C17—41no—
401C22×C4×C17—41no—
402C22×C4×C17—41no—
403C22×C4×C17—41no—
404C22×C4×C17—41no—
405C22×C4×C17C22×C414yes—
406C22×C4×C17C2411yescharacteristic
407C22×C4×C17C2411yescharacteristic
408C22×C4×C17C2411yescharacteristic
409C22×C4×C17C2411yescharacteristic
410C22×C4×C17C2411yescharacteristic
411C22×C4×C17C2411yescharacteristic
412C22×C4×C17C2411yescharacteristic
413C22×C4×C17C2411yescharacteristic
414C22×C4×C17C2411yescharacteristic
415C22×C4×C17C2411yescharacteristic
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C2×C22⋊D17—22no—
419C2×C22⋊D17—22no—
420C2×C22⋊D17—22no—
421C2×C22⋊D17—22no—
422C2×C22⋊D17—41no—
423C2×C22⋊D17—41no—
424C2×C22⋊D17—41no—
425C2×C22⋊D17—41no—
426C2×C22⋊D17C22×C414yes—
427C2×C22⋊D17C22×C414yes—
428C2×C22⋊D17C22×C414yes—
429C2×C22⋊D17C22×C414yes—
430C22×Dic17—22no—
431C22×Dic17—22no—
432C22×Dic17—41no—
433C22×Dic17—41no—
434C22×Dic17—41no—
435C22×Dic17—41no—
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×C414yes—
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—41no—
466C2×C4×D17—41no—
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—41no—
478C2×C4×D17—41no—
479C2×C4×D17—41no—
480C2×C4×D17—41no—
481C2×C4×D17C22×C414yes—
482C2×C4×D17C22×C414yes—
483C2×Dic34—41no—
484C2×Dic34—41no—
485C2×Dic34C22×C414yes—
486C4⋊C4×C17—22no—
487C4⋊C4×C17—41no—
488C4⋊C4×C17—41no—
489C4⋊C4×C17—41no—
490C4⋊C4×C17—41no—
491C4⋊C4×C17—41no—
492C4⋊C4×C17C22×C414yes—
493C22⋊C4×C17—22no—
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×C17—41no—
503C22⋊C4×C17C22×C414yes—
504C22⋊C4×C17C22×C414yes—
505C42×C17—22no—
506C42×C17—41no—
507C42×C17—41no—
508C42×C17—41no—
509C22⋊Dic17—22no—
510C22⋊Dic17—41no—
511C22⋊Dic17—41no—
512C22⋊Dic17—41no—
513C22⋊Dic17—41no—
514C22⋊Dic17—41no—
515C22⋊Dic17—41no—
516C22⋊Dic17—41no—
517C22⋊Dic17C22×C414yes—
518C22⋊Dic17C22×C414yes—
519C22⋊Dic17C22×C414yes—
520C22⋊Dic17C22×C414yes—
521C22⋊Dic17C22×C414yes—
522C22⋊Dic17C22×C414yes—
523#63227—22no—
524#63227—22no—
525#63227—22no—
526#63227—22no—
527#63227—22no—
528#63227—22no—
529#63227—41no—
530#63227—41no—
531#63227—41no—
532#63227—41no—
533#63227C22×C414yes—
534#63227C22×C414yes—
535#63227C22×C414yes—
536#63227C22×C414yes—
537#63227C22×C414yes—
538#63227C22×C414yes—
539C4⋊Dic17—22no—
540C4⋊Dic17—41no—
541C4⋊Dic17—41no—
542C4⋊Dic17—41no—
543C4⋊Dic17C22×C414yes—
544#63225—22no—
545#63225—22no—
546#63225—41no—
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#63225C22×C414yes—
559#63225C22×C414yes—
560#63225C22×C414yes—
561#63225C22×C414yes—
562C4×Dic17—22no—
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×Dic17C22×C414yes—
575C4×Dic17C22×C414yes—
576#34424—171nomaximal, Sylow
577C23×C17—21no—
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×C17C23×C412yes—
596C23×C17C23×C412yes—
597C23×C17C23×C412yes—
598C23×C17C2511yescharacteristic
599C22×D17—21no—
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—28no—
610C22×D17—44no—
611C22×D17—44no—
612C22×D17—82no—
613C22×D17—82no—
614C22×D17—82no—
615C22×D17—82no—
616C22×D17C23×C412yes—
617C22×D17C23×C412yes—
618C22×D17H(5,𝔽2)12yes—
619C22×D172−1+412yes—
620D4×C17—44no—
621D4×C17—44no—
622D4×C17—44no—
623C2×C4×C17—21no—
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—82no—
656C2×C4×C17—82no—
657C2×C4×C17C23×C412yes—
658C2×C4×C17C23×C412yes—
659C2×C4×C17C23×C412yes—
660C2×C4×C17C23×C412yes—
661C2×C4×C17H(5,𝔽2)12yes—
662C22⋊D17—28no—
663C22⋊D17—28no—
664C22⋊D17—44no—
665C22⋊D17—44no—
666C2×Dic17—21no—
667C2×Dic17—21no—
668C2×Dic17—21no—
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—44no—
702C2×Dic17—82no—
703C2×Dic17—82no—
704C2×Dic17—82no—
705C2×Dic17—82no—
706C2×Dic17C23×C412yes—
707C2×Dic17C23×C412yes—
708C2×Dic17C23×C412yes—
709C2×Dic17C23×C412yes—
710C2×Dic17C23×C412yes—
711C2×Dic17C23×C412yes—
712C2×Dic17H(5,𝔽2)12yes—
713C4×D17—44no—
714C4×D17—44no—
715C4×D17—44no—
716C4×D17—44no—
717C4×D17—82no—
718C4×D17—82no—
719C4×D17—82no—
720C4×D17—82no—
721Dic34—44no—
722C2×#538—171no—
723#2379—171no—
724#2379—171no—
725#2376—171no—
726#2376—171no—
727#2367—171no—
728#2367—171no—
729#2359—171no—
730#2359—171no—
731#2358—171no—
732#2358—171no—
733#2358—171no—
734#2358—171no—
735#2352—171no—
736#2352—171no—
737#2349—171no—
738#2349—171no—
739#2334—171no—
740#2334—171no—
741#2334—171no—
742#2334—171no—
743#2329—171no—
744#2325—171no—
745#2325—171no—
746#2325—171no—
747#2324—171no—
748#2324D1711yescharacteristic, complemented
749#2315—171no—
750C4×C22⋊Q8—171no—
751C4×#121—171no—
752C2×#388—171no—
753C22×C17—22no—
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—41no—
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×C17C24×C411yescharacteristic
775C22×C17C2×H(5,𝔽2)11yescharacteristic
776C22×C17C2×H(5,𝔽2)11yescharacteristic
777C22×C17C2×H(5,𝔽2)11yescharacteristic
778C22×C17C2×2−1+411yescharacteristic
779C22×C17#58511yescharacteristic
780C22×C17#58511yescharacteristic
781C2×D17—22no—
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—41no—
791C2×D17—41no—
792C2×D17—41no—
793C2×D17—41no—
794C2×D17—88no—
795C2×D17#52014yes—
796C4×C17—22no—
797C4×C17—22no—
798C4×C17—22no—
799C4×C17—22no—
800C4×C17—22no—
801C4×C17—41no—
802C4×C17—41no—
803C4×C17—41no—
804C4×C17—41no—
805C4×C17—41no—
806C4×C17—41no—
807C4×C17—41no—
808Dic17—22no—
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—
822#538—1716no—
823C2×#126—171no—
824C2×#126—171no—
825C2×#124—171no—
826C2×#124—171no—
827C2×#123—171no—
828C2×#123—171no—
829C2×C22⋊Q8—171no—
830C2×#121—171no—
831C2×#121—171no—
832C2×#121C2×D1711yescharacteristic
833C2×#120—171no—
834C2×#120—171no—
835C2×C4×Q8—171no—
836C2×C4×D4—171no—
837C2×C4×D4—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×#117—171no—
848C2×#117C2×D1711yescharacteristic, complemented
849C22×C4⋊C4—171no—
850C22×C22⋊C4—171no—
851C22×C22⋊C4—171no—
852C22×C22⋊C4—171no—
853C22×C22⋊C4—171no—
854C22×C22⋊C4—171no—
855C22×C42—171no—
856#391—171no—
857#391—171no—
858#391—171no—
859#390—171no—
860#390—171no—
861#390C2×D1711yescharacteristic
862#390C2×D1711yescharacteristic
863#390C2×D1711yescharacteristic, complemented
864#389—171no—
865#389—171no—
866#389—171no—
867#389—171no—
868#389—171no—
869#389—171no—
870#389—171no—
871#389C2×D1711yescharacteristic, complemented
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#388—171no—
894#388C2×D1711yescharacteristic
895#388C2×D1711yescharacteristic, complemented
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#387—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#386—171no—
920#386C2×D1711yescharacteristic
921#386C2×D1711yescharacteristic, complemented
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#385—171no—
942#385C2×D1711yescharacteristic
943#385C2×D1711yescharacteristic, complemented
944#382—171no—
945#382—171no—
946#382—171no—
947#382—171no—
948#380—171no—
949#380—171no—
950#380—171no—
951#380—171no—
952#380—171no—
953#380—171no—
954#380—171no—
955#380C2×D1711yescharacteristic, complemented
956C4×C4⋊C4—171no—
957C4×C4⋊C4—171no—
958C4×C4⋊C4—171no—
959C4×C4⋊C4—171no—
960C4×C4⋊C4—171no—
961C4×C4⋊C4—171no—
962C4×C4⋊C4—171no—
963C4×C4⋊C4C2×D1711yescharacteristic, complemented
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—
974C2×#95—171no—
975C2×#95—171no—
976C2×#95—171no—
977C2×#95—171no—
978C2×C17—42no—
979C2×C17—42no—
980C2×C17—42no—
981C2×C17C2×#52011yescharacteristic
982C2×C17C4×H(5,𝔽2)11yescharacteristic
983C2×C17C4×H(5,𝔽2)11yescharacteristic
984C2×C17#353411yescharacteristic
985C2×C17#353611yescharacteristic
986C2×C17#355811yescharacteristic
987C2×C17#356411yescharacteristic
988D17—24no—
989D17—42no—
990C25—171no—
991C22×Q8—171no—
992C22×D4—171no—
993C22×D4—171no—
994C22×D4—171no—
995C22×D4—171no—
996C22×D4C22×D1711yescharacteristic
997C22×D4C22×D1711yescharacteristic
998C22×D4C22×D1711yescharacteristic
999C23×C4—171no—
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—171no—
1012C23×C4C22×D1711yescharacteristic
1013C23×C4C22×D1711yescharacteristic
1014C23×C4C22×D1711yescharacteristic
1015#126—178no—
1016#126—178no—
1017#124—178no—
1018#124—178no—
1019#123—178no—
1020#123—178no—
1021C22⋊Q8—178no—
1022#121—178no—
1023#121—178no—
1024#121C4×D1718yescomplemented
1025#120—178no—
1026#120—178no—
1027C4×Q8—682no—
1028C4×D4—42no—
1029C4×D4—178no—
1030C4×D4—178no—
1031C4×D4—682no—
1032C4×D4—682no—
1033C4×D4—682no—
1034C4×D4—682no—
1035C4×D4—682no—
1036C4×D4—682no—
1037C4×D4—682no—
1038C4×D4—682no—
1039#117—42no—
1040#117—682no—
1041C2×C4⋊C4—171no—
1042C2×C4⋊C4—171no—
1043C2×C4⋊C4—171no—
1044C2×C4⋊C4—171no—
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—682no—
1065C2×C4⋊C4C22×D1711yescharacteristic
1066C2×C4⋊C4C22×D1711yescharacteristic
1067C2×C4⋊C4C22×D1711yescharacteristic
1068C2×C4⋊C4C22×D1711yescharacteristic
1069C2×C4⋊C4C22×D1711yescharacteristic
1070C2×C4⋊C4C22×D1711yescharacteristic
1071C2×C4⋊C4C22×D1711yescharacteristic
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—178no—
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—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—682no—
1104C2×C22⋊C4—682no—
1105C2×C22⋊C4—682no—
1106C2×C22⋊C4—682no—
1107C2×C22⋊C4C22×D1711yescharacteristic
1108C2×C22⋊C4C22×D1711yescharacteristic
1109C2×C22⋊C4C22×D1711yescharacteristic
1110C2×C22⋊C4C22×D1711yescharacteristic
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×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—171no—
1132C2×C42—171no—
1133C2×C42—682no—
1134C2×C42C22×D1711yescharacteristic
1135C2×C42C22×D1711yescharacteristic
1136C2×C42C22×D1711yescharacteristic
1137C2×C42C22×D1711yescharacteristic
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#95C22×D1711yescharacteristic
1173#95C22×D1711yescharacteristic
1174#95C22×D1711yescharacteristic
1175#95C22×D1711yescharacteristic
1176#95C22×D1711yescharacteristic
1177#95C22×D1711yescharacteristic
1178C17#3442411yescharacteristic, complemented, Sylow
1179C24—171no—
1180C24—171no—
1181C24—174no—
1182C24—342no—
1183C24—342no—
1184C24—681no—
1185C24—681no—
1186C24—681no—
1187C24—681no—
1188C24C23×D1711yescharacteristic
1189C24C23×D1711yescharacteristic
1190C24C23×D1711yescharacteristic
1191C2×Q8—174no—
1192C2×Q8—681no—
1193C2×Q8—681no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—174no—
1201C2×D4—174no—
1202C2×D4—174no—
1203C2×D4—174no—
1204C2×D4—342no—
1205C2×D4—342no—
1206C2×D4—342no—
1207C2×D4—342no—
1208C2×D4—681no—
1209C2×D4—681no—
1210C2×D4—681no—
1211C2×D4—681no—
1212C2×D4C2×C4×D1714yes—
1213C2×D4C2×C4×D1714yes—
1214C2×D4C2×C4×D1714yes—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—171no—
1224C22×C4—171no—
1225C22×C4—171no—
1226C22×C4—171no—
1227C22×C4—171no—
1228C22×C4—171no—
1229C22×C4—171no—
1230C22×C4—174no—
1231C22×C4—174no—
1232C22×C4—174no—
1233C22×C4—171no—
1234C22×C4—171no—
1235C22×C4—171no—
1236C22×C4—171no—
1237C22×C4—171no—
1238C22×C4—171no—
1239C22×C4—171no—
1240C22×C4—342no—
1241C22×C4—342no—
1242C22×C4—342no—
1243C22×C4—342no—
1244C22×C4—342no—
1245C22×C4—342no—
1246C22×C4—342no—
1247C22×C4—342no—
1248C22×C4—681no—
1249C22×C4—681no—
1250C22×C4—681no—
1251C22×C4—681no—
1252C22×C4—681no—
1253C22×C4—681no—
1254C22×C4—681no—
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—681no—
1270C22×C4—681no—
1271C22×C4—681no—
1272C22×C4—681no—
1273C22×C4—681no—
1274C22×C4—681no—
1275C22×C4—681no—
1276C22×C4C2×C4×D1714yes—
1277C22×C4C23×D1711yescharacteristic
1278C22×C4C23×D1711yescharacteristic
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
1289C4⋊C4—22no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—174no—
1296C4⋊C4—174no—
1297C4⋊C4—174no—
1298C4⋊C4—174no—
1299C4⋊C4—174no—
1300C4⋊C4—342no—
1301C4⋊C4—342no—
1302C4⋊C4—342no—
1303C4⋊C4—681no—
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⋊C4C2×C4×D1714yes—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—41no—
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—342no—
1346C22⋊C4—342no—
1347C22⋊C4—342no—
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⋊C4C2×C4×D1714yes—
1360C22⋊C4C2×C4×D1714yes—
1361C42—22no—
1362C42—41no—
1363C42—41no—
1364C42—41no—
1365C42—174no—
1366C42—174no—
1367C42—342no—
1368C42—342no—
1369C42—342no—
1370C42—681no—
1371C42—681no—
1372C42—681no—
1373C42—681no—
1374C42—681no—
1375C42—681no—
1376C42—681no—
1377C42—681no—
1378C42—681no—
1379C23—21no—
1380C23—21no—
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—172no—
1398C23—172no—
1399C23—172no—
1400C23—172no—
1401C23—348no—
1402C23—341no—
1403C23—341no—
1404C23—341no—
1405C23—341no—
1406C23—341no—
1407C23—341no—
1408C23—341no—
1409C23—341no—
1410C23—341no—
1411C23—341no—
1412C23—684no—
1413C23—684no—
1414C23—1362no—
1415C23—1362no—
1416C23—1362no—
1417C23—1362no—
1418C23C22×C4×D1712yes—
1419C23C22×C4×D1712yes—
1420C23C22×C4×D1712yes—
1421C23C24×D1711yescharacteristic
1422Q8—684no—
1423D4—44no—
1424D4—44no—
1425D4—44no—
1426D4—348no—
1427D4—348no—
1428D4—684no—
1429D4—684no—
1430C2×C4—21no—
1431C2×C4—21no—
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—44no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—172no—
1465C2×C4—172no—
1466C2×C4—172no—
1467C2×C4—172no—
1468C2×C4—172no—
1469C2×C4—172no—
1470C2×C4—172no—
1471C2×C4—341no—
1472C2×C4—341no—
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—684no—
1507C2×C4—684no—
1508C2×C4—684no—
1509C2×C4—684no—
1510C2×C4—684no—
1511C2×C4—1362no—
1512C2×C4—1362no—
1513C2×C4—1362no—
1514C2×C4—1362no—
1515C2×C4—1362no—
1516C2×C4—1362no—
1517C2×C4—1362no—
1518C2×C4—1362no—
1519C2×C4C22×C4×D1712yes—
1520C2×C4C22×C4×D1712yes—
1521C2×C4C22×C4×D1712yes—
1522C2×C4C22×C4×D1712yes—
1523C2×C4#1058769112yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—174no—
1546C22—342no—
1547C22—342no—
1548C22—342no—
1549C22—342no—
1550C22—342no—
1551C22—342no—
1552C22—342no—
1553C22—342no—
1554C22—342no—
1555C22—681no—
1556C22—681no—
1557C22—681no—
1558C22—681no—
1559C22—1368no—
1560C22C23×C4×D1711yescharacteristic
1561C22H(5,𝔽2)×D1711yescharacteristic
1562C22H(5,𝔽2)×D1711yescharacteristic
1563C22C2×#1058769111yescharacteristic
1564C222−1+4×D1711yescharacteristic
1565C22#1176364411yescharacteristic
1566C22#1176364511yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—342no—
1580C4—342no—
1581C4—342no—
1582C4—342no—
1583C4—342no—
1584C4—342no—
1585C4—342no—
1586C4—681no—
1587C4—681no—
1588C4—681no—
1589C4—681no—
1590C4—681no—
1591C4—681no—
1592C4—681no—
1593C2—42no—
1594C2—42no—
1595C2—42no—
1596C2—344no—
1597C2—682no—
1598C2D17×#52011yescharacteristic
1599C2#1454198811yescharacteristic
1600C2C4×#1058769111yescharacteristic
1601C2#1454296711yescharacteristic
1602C2#1454300111yescharacteristic
1603C2#1454330211yescharacteristic
1604C2#1454340911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2324C2
socle, cosocleC23×C17C25
prime radicalC2×#11763391C2
hypercenter#2324D17
hypocenterC17#34424
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2324

Complements

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

NH ≅ G/Ntype
2. #14531957C2semidirect
3. #14531954C2semidirect
4. #14531934C2semidirect
5. #14531928C2semidirect
6. #14531858C2semidirect
7. #14531854C2semidirect
8. #14531776C2semidirect
9. #14531770C2semidirect
10. #14531765C2semidirect
11. #14531765C2semidirect
12. #14531764C2semidirect
13. #14531761C2semidirect
14. #14531714C2semidirect
15. #14531712C2semidirect
16. #14531690C2semidirect
17. #14531688C2semidirect
18. #14531556C2semidirect
19. #14531554C2semidirect
20. #14531553C2semidirect
21. #14531552C2semidirect
22. #14531518C2semidirect
23. #14531489C2semidirect
24. #14531486C2semidirect
25. #14531485C2semidirect
26. #14531470C2semidirect
27. #14531395C2semidirect
28. C4×#10587582C2semidirect
29. #14531300C2semidirect
30. D17×#388C2semidirect
31. C17×#2324C2semidirect
32. #11763391C4semidirect
44. C2×C4×Dic34C22semidirect
46. C2×D4×Dic17C22semidirect
55. C2×#10587563C22semidirect
63. #11762714C22semidirect
64. #11762713C22semidirect
65. #11762713C22semidirect
68. #11762707C22semidirect
69. #11762706C22semidirect
70. #11762704C22semidirect
71. #11762704C22semidirect
72. #11762704C22semidirect
73. #11762704C22semidirect
74. #11762704C22semidirect
76. #11762703C22semidirect
77. #11762703C22semidirect
78. #11762703C22semidirect
79. #11762703C22semidirect
80. #11762703C22semidirect
82. #11762702C22semidirect
96. #11762697C22semidirect
97. #11762696C22semidirect
98. #11762696C22semidirect
99. #11762695C22semidirect
100. #11762695C22semidirect
101. #11762694C22semidirect
102. #11762693C22semidirect
103. #11762693C22semidirect
104. #11762693C22semidirect
105. #11762692C22semidirect
106. #11762691C22semidirect
107. #11762690C22semidirect
108. #11762690C22semidirect
112. #11762689C22semidirect
122. #11762684C22semidirect
128. #11762682C22semidirect
131. #11762681C22semidirect
132. #11762681C22semidirect
133. #11762681C22semidirect
141. #11762674C22semidirect
142. #11762673C22semidirect
143. #11762673C22semidirect
144. #11762673C22semidirect
145. #11762669C22semidirect
148. #11762667C22semidirect
149. #11762667C22semidirect
152. C4⋊C4×Dic17C22semidirect
153. C4⋊C4×Dic17C22semidirect
154. C4⋊C4×Dic17C22semidirect
155. C4×#63225C22semidirect
156. C4×#63225C22semidirect
157. C4×#63225C22semidirect
158. #11762660C22semidirect
160. C22⋊C4×Dic17C22semidirect
161. C22⋊C4×Dic17C22semidirect
169. C2×#10587502C22semidirect
170. C2×#10587502C22semidirect
175. C2×C17×#117C22semidirect
178. C17×#390C22semidirect
179. C17×#389C22semidirect
181. C17×#388C22semidirect
183. C17×#386C22semidirect
185. C17×#385C22semidirect
186. C17×#380C22semidirect
187. C4×C4⋊C4×C17C22semidirect
213. C17×#121C2×C4semidirect
253. #10587625C2×C4semidirect
254. #10587624C2×C4semidirect
255. #10587623C2×C4semidirect
256. #10587623C2×C4semidirect
257. #10587622C2×C4semidirect
258. #10587621C2×C4semidirect
261. #10587615C2×C4semidirect
263. C4×C22⋊D17C2×C4semidirect
318. #10587584C2×C4semidirect
319. #10587582C2×C4semidirect
321. #10587571C2×C4semidirect
327. #10587567C2×C4semidirect
331. C22⋊C4×D17C2×C4semidirect
332. #10587565C2×C4semidirect
748. #2324D17semidirect
848. C2×#117C2×D17semidirect
863. #390C2×D17semidirect
871. #389C2×D17semidirect
895. #388C2×D17semidirect
921. #386C2×D17semidirect
943. #385C2×D17semidirect
955. #380C2×D17semidirect
963. C4×C4⋊C4C2×D17semidirect
1024. #121C4×D17semidirect
1178. C17#34424semidirect

Maximal subgroups

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

subgroupindex
C2×#117633912
#145319572
#145319542
#145319342
#145319282
#145318582
#145318542
#145317762
#145317702
#145317652
#145317642
#145317612
#145317142
#145317122
#145316902
#145316882
#145315562
#145315542
#145315532
#145315522
#145315182
#145314892
#145314862
#145314852
#145314702
#145313952
C4×#105875822
#145313002
D17×#3882
C17×#23242
#3442417