Finite Group Databasebeta

← #17199685

Subgroups — #17199685

Order 4352.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763450C211yesmaximal, characteristic
2#14531939C211yesmaximal, characteristic, complemented
3#14531929C211yesmaximal, characteristic, complemented
4#14531924C211yesmaximal, characteristic, complemented
5#14531895C211yesmaximal, characteristic, complemented
6#14531830C211yesmaximal, characteristic, complemented
7#14531821C211yesmaximal, characteristic, complemented
8#14531769C211yesmaximal, characteristic, complemented
9#14531762C211yesmaximal, characteristic, complemented
10#14531723C211yesmaximal, characteristic, complemented
11#14531721C211yesmaximal, characteristic, complemented
12#14531632C211yesmaximal, characteristic, complemented
13#14531628C211yesmaximal, characteristic, complemented
14#14531613C211yesmaximal, characteristic, complemented
15#14531604C211yesmaximal, characteristic, complemented
16#14531596C211yesmaximal, characteristic, complemented
17#14531580C211yesmaximal, characteristic, complemented
18#14531548C211yesmaximal, characteristic, complemented
19#14531542C211yesmaximal, characteristic, complemented
20#14531483C211yesmaximal, characteristic, complemented
21#14531448C211yesmaximal, characteristic, complemented
22#14531446C211yesmaximal, characteristic, complemented
23#14531437C211yesmaximal, characteristic, complemented
24#14531426C211yesmaximal, characteristic, complemented
25#14531378C211yesmaximal, characteristic, complemented
26#14531375C211yesmaximal, characteristic, complemented
27#14531361C211yesmaximal, characteristic, complemented
28#14531292C211yesmaximal, characteristic, complemented
29#14531222C211yesmaximal, characteristic, complemented
30D17×#388C211yesmaximal, characteristic, complemented
31C17×#2378C211yesmaximal, characteristic, complemented
32C22×#63256C2211yescharacteristic
33C23×D68C2211yescharacteristic
34#11763450C4116yescomplemented
35C2×#10587633C2211yescharacteristic
36C2×#10587580C2211yescharacteristic
37C2×#10587580C2211yescharacteristic
38C2×#10587581C2211yescharacteristic
39C2×#10587581C2211yescharacteristic
40C2×#10587581C2211yescharacteristic
41C2×#10587568C2211yescharacteristic
42C2×#10587568C2211yescharacteristic
43C2×C4×D68C2211yescharacteristic, complemented
44C2×C4×D68C2211yescharacteristic, complemented
45C2×#10587579C2211yescharacteristic
46C2×#10587579C2211yescharacteristic
47C2×#10587579C2211yescharacteristic
48C2×#10587579C2211yescharacteristic, complemented
49C2×#10587579C2211yescharacteristic, complemented
50C2×C4×C22⋊D17C2211yescharacteristic
51C2×#10587578C2211yescharacteristic, complemented
52C2×#10587558C2211yescharacteristic, complemented
53C2×C4⋊C4×D17C2211yescharacteristic, complemented
54C2×C22⋊C4×D17C2211yescharacteristic
55C2×C22⋊C4×D17C2211yescharacteristic
56C2×C22⋊C4×D17C2211yescharacteristic
57C2×C22⋊C4×D17C2211yescharacteristic
58C2×C22⋊C4×D17C2211yescharacteristic
59C2×C22⋊C4×D17C2211yescharacteristic
60C2×C42×D17C2211yescharacteristic, complemented
61#11762716C2211yescharacteristic, complemented
62#11762716C2211yescharacteristic, complemented
63#11762711C2211yescharacteristic, complemented
64#11762711C2211yescharacteristic, complemented
65#11762710C2211yescharacteristic
66#11762710C2211yescharacteristic
67#11762710C2211yescharacteristic, complemented
68#11762710C2211yescharacteristic, complemented
69#11762709C2211yescharacteristic
70#11762709C2211yescharacteristic
71#11762704C2211yescharacteristic, complemented
72#11762704C2211yescharacteristic, complemented
73#11762703C2211yescharacteristic
74#11762703C2211yescharacteristic
75#11762702C2211yescharacteristic
76#11762702C2211yescharacteristic
77#11762702C2211yescharacteristic
78#11762702C2211yescharacteristic
79#11762701C2211yescharacteristic, complemented
80#11762701C2211yescharacteristic, complemented
81#11762701C2211yescharacteristic, complemented
82#11762701C2211yescharacteristic, complemented
83#11762700C2211yescharacteristic, complemented
84#11762700C2211yescharacteristic, complemented
85#11762700C2211yescharacteristic, complemented
86#11762700C2211yescharacteristic, complemented
87#11762699C2211yescharacteristic, complemented
88#11762699C2211yescharacteristic, complemented
89#11762699C2211yescharacteristic, complemented
90#11762699C2211yescharacteristic, complemented
91#11762699C2211yescharacteristic, complemented
92#11762699C2211yescharacteristic, complemented
93#11762698C2211yescharacteristic, complemented
94#11762698C2211yescharacteristic, complemented
95#11762698C2211yescharacteristic, complemented
96#11762698C2211yescharacteristic, complemented
97#11762697C2211yescharacteristic
98#11762697C2211yescharacteristic
99#11762695C2211yescharacteristic, complemented
100#11762695C2211yescharacteristic, complemented
101#11762695C2211yescharacteristic, complemented
102#11762695C2211yescharacteristic, complemented
103#11762691C2211yescharacteristic, complemented
104#11762691C2211yescharacteristic, complemented
105#11762687C2211yescharacteristic
106#11762687C2211yescharacteristic
107#11762687C2211yescharacteristic
108#11762687C2211yescharacteristic
109#11762687C2211yescharacteristic
110#11762687C2211yescharacteristic
111#11762687C2211yescharacteristic
112#11762687C2211yescharacteristic
113#11762687C2211yescharacteristic
114#11762687C2211yescharacteristic
115#11762687C2211yescharacteristic
116#11762687C2211yescharacteristic
117#11762687C2211yescharacteristic, complemented
118#11762687C2211yescharacteristic, complemented
119#11762687C2211yescharacteristic, complemented
120#11762687C2211yescharacteristic, complemented
121#11762687C2211yescharacteristic, complemented
122#11762687C2211yescharacteristic, complemented
123#11762687C2211yescharacteristic, complemented
124#11762687C2211yescharacteristic, complemented
125#11762685C2211yescharacteristic
126#11762685C2211yescharacteristic
127#11762683C2211yescharacteristic, complemented
128#11762683C2211yescharacteristic, complemented
129#11762683C2211yescharacteristic, complemented
130#11762683C2211yescharacteristic, complemented
131#11762680C2211yescharacteristic, complemented
132#11762680C2211yescharacteristic, complemented
133#11762680C2211yescharacteristic, complemented
134#11762680C2211yescharacteristic, complemented
135#11762676C2211yescharacteristic, complemented
136#11762672C2211yescharacteristic
137#11762671C2211yescharacteristic, complemented
138#11762671C2211yescharacteristic, complemented
139#11762671C2211yescharacteristic, complemented
140#11762668C2211yescharacteristic, complemented
141#11762668C2211yescharacteristic, complemented
142#11762668C2211yescharacteristic, complemented
143#11762668C2211yescharacteristic, complemented
144#11762666C2211yescharacteristic, complemented
145#11762666C2211yescharacteristic, complemented
146#11762664C2211yescharacteristic
147#11762664C2211yescharacteristic
148#11762664C2211yescharacteristic
149#11762664C2211yescharacteristic
150C4⋊C4×Dic17C2211yescharacteristic, complemented
151C4⋊C4×Dic17C2211yescharacteristic, complemented
152#11762660C2211yescharacteristic, complemented
153C4×#63227C2211yescharacteristic, complemented
154C4×#63227C2211yescharacteristic, complemented
155C4×#63227C2211yescharacteristic, complemented
156C4×#63227C2211yescharacteristic, complemented
157C4×#63227C2211yescharacteristic, complemented
158C4×#63227C2211yescharacteristic, complemented
159C4×C22⋊Dic17C2211yescharacteristic
160#11762656C2211yescharacteristic, complemented
161#11762656C2211yescharacteristic, complemented
162#11762656C2211yescharacteristic, complemented
163#11762656C2211yescharacteristic, complemented
164#11762656C2211yescharacteristic, complemented
165#11762656C2211yescharacteristic, complemented
166#11762656C2211yescharacteristic, complemented
167#11762656C2211yescharacteristic, complemented
168#11762654C2211yescharacteristic, complemented
169#11762654C2211yescharacteristic, complemented
170#95×D17C2211yescharacteristic, complemented
171#95×D17C2211yescharacteristic, complemented
172#95×D17C2211yescharacteristic, complemented
173C2×C17×C22⋊Q8C2211yescharacteristic
174C17×#391C2211yescharacteristic, complemented
175C17×#391C2211yescharacteristic, complemented
176C17×#389C2211yescharacteristic, complemented
177C17×#389C2211yescharacteristic, complemented
178C17×#388C2211yescharacteristic
179C17×#388C2211yescharacteristic
180C17×#388C2211yescharacteristic
181C17×#388C2211yescharacteristic
182C17×#387C2211yescharacteristic, complemented
183C17×#387C2211yescharacteristic, complemented
184C17×#387C2211yescharacteristic, complemented
185C17×#387C2211yescharacteristic, complemented
186C17×#381C2211yescharacteristic
187C17×#380C2211yescharacteristic
188C24×D17C2311yescharacteristic
189C24×D17C2311yescharacteristic
190C22×Q8×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C22×C22⋊D17C2311yescharacteristic
193C2×#63256—42no—
194C2×#63256—42no—
195C2×#63256C2×C418yescomplemented
196C22×D68—42no—
197C22×D68—42no—
198C22×D68C2×C418yescomplemented
199C22×D68C2311yescharacteristic
200C22×D68C2311yescharacteristic
201C22×D68C2311yescharacteristic
202C22×D68C2311yescharacteristic
203C22×D68C2311yescharacteristic
204C22×D68C2311yescharacteristic
205C22×D68C2311yescharacteristic
206C22×D68C2311yescharacteristic
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×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C17×C22⋊Q8C2×C418yescomplemented
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊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
247#10587633C2×C418yescomplemented
248C4×C22⋊D17C2×C418yescomplemented
249C2×#63227C2311yescharacteristic
250C2×#63227C2311yescharacteristic
251C2×#63227C2311yescharacteristic
252C2×#63227C2311yescharacteristic
253C2×#63227C2311yescharacteristic
254C2×#63227C2311yescharacteristic
255C2×#63227C2311yescharacteristic
256C2×#63227C2311yescharacteristic
257C2×#63227C2311yescharacteristic
258C2×#63227C2311yescharacteristic
259C2×#63227C2311yescharacteristic
260C2×#63227C2311yescharacteristic
261C2×#63227C2311yescharacteristic
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
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×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×#63227C2311yescharacteristic
287C2×#63227C2311yescharacteristic
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×C4×Dic17C2311yescharacteristic
300C2×C4×Dic17C2311yescharacteristic
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
312#10587581C2×C418yescomplemented
313#10587581C2×C418yescomplemented
314#10587581C2×C418yescomplemented
315#10587580C2×C418yescomplemented
316#10587580C2×C418yescomplemented
317#10587579—42no—
318#10587579—42no—
319#10587579—42no—
320#10587579—42no—
321#10587579C2×C418yescomplemented
322#10587578—42no—
323C4⋊C4×D17—42no—
324#10587568C2×C418yescomplemented
325#10587568C2×C418yescomplemented
326C22⋊C4×D17—42no—
327C22⋊C4×D17—42no—
328C22⋊C4×D17—42no—
329C22⋊C4×D17—42no—
330C22⋊C4×D17C2×C418yescomplemented
331C22⋊C4×D17C2×C418yescomplemented
332C4×D68—42no—
333C4×D68—42no—
334#10587558—42no—
335C42×D17—42no—
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376C24×C17C2411yescharacteristic
377C23×D17—22no—
378C23×D17—22no—
379C23×D17—41no—
380C23×D17—41no—
381C23×D17—41no—
382C23×D17—41no—
383C23×D17—41no—
384C23×D17—41no—
385C23×D17—41no—
386C23×D17—41no—
387C23×D17—41no—
388C23×D17—41no—
389C23×D17C22×C414yes—
390C23×D17C22×C414yes—
391C23×D17C2411yescharacteristic
392C23×D17C2411yescharacteristic
393C23×D17C2411yescharacteristic
394C23×D17C2411yescharacteristic
395C23×D17C2411yescharacteristic
396C2×Q8×C17—41no—
397C2×Q8×C17—41no—
398C2×Q8×C17C22×C414yes—
399C22×C4×C17—41no—
400C22×C4×C17—41no—
401C22×C4×C17C22×C414yes—
402C22×C4×C17C2411yescharacteristic
403C22×C4×C17C2411yescharacteristic
404C22×C4×C17C2411yescharacteristic
405C22×C4×C17C2411yescharacteristic
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
416C2×C22⋊D17—41no—
417C2×C22⋊D17—41no—
418C2×C22⋊D17C22×C414yes—
419C22×Dic17C2411yescharacteristic
420C22×Dic17C2411yescharacteristic
421C22×Dic17C2411yescharacteristic
422C22×Dic17C2411yescharacteristic
423C22×Dic17C2411yescharacteristic
424C22×Dic17C2411yescharacteristic
425C22×Dic17C2411yescharacteristic
426C22×Dic17C2411yescharacteristic
427C22×Dic17C2411yescharacteristic
428C22×Dic17C2411yescharacteristic
429C22×Dic17C2411yescharacteristic
430#63256—416no—
431C2×D68—22no—
432C2×D68—22no—
433C2×D68—22no—
434C2×D68—22no—
435C2×D68—22no—
436C2×D68—22no—
437C2×D68—416no—
438C2×D68—41no—
439C2×D68—41no—
440C2×D68—41no—
441C2×D68—41no—
442C2×D68—41no—
443C2×D68—41no—
444C2×D68—41no—
445C2×D68—41no—
446C2×D68—41no—
447C2×D68—41no—
448C2×D68C22×C414yes—
449C2×D68C22×C414yes—
450C2×D68C22×C414yes—
451C2×D68C22×C414yes—
452C2×D68C22×C414yes—
453C2×D68C22×C414yes—
454C2×D68C22×C414yes—
455C2×D68C22×C414yes—
456C2×C4×D17—22no—
457C2×C4×D17—22no—
458C2×C4×D17—22no—
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×D17—41no—
482C2×C4×D17—41no—
483C2×C4×D17—41no—
484C2×C4×D17—41no—
485C2×C4×D17—41no—
486C2×C4×D17—41no—
487C2×C4×D17—41no—
488C2×C4×D17—41no—
489C2×C4×D17—41no—
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×C4×D17C22×C414yes—
498C2×C4×D17C22×C414yes—
499C2×C4×D17C22×C414yes—
500C2×C4×D17C22×C414yes—
501C4⋊C4×C17—41no—
502C4⋊C4×C17—41no—
503C4⋊C4×C17—41no—
504C4⋊C4×C17—41no—
505C4⋊C4×C17—41no—
506C4⋊C4×C17—41no—
507C4⋊C4×C17C22×C414yes—
508C4⋊C4×C17C22×C414yes—
509C4⋊C4×C17C22×C414yes—
510C22⋊C4×C17—41no—
511C22⋊C4×C17—41no—
512C22⋊C4×C17—41no—
513C22⋊C4×C17—41no—
514C22⋊C4×C17C22×C414yes—
515C22⋊C4×C17C22×C414yes—
516C42×C17—41no—
517C42×C17—41no—
518C42×C17—41no—
519C42×C17—41no—
520C22⋊Dic17—22no—
521C22⋊Dic17—41no—
522C22⋊Dic17—41no—
523C22⋊Dic17—41no—
524C22⋊Dic17C22×C414yes—
525#63227—22no—
526#63227—22no—
527#63227—22no—
528#63227—22no—
529#63227—22no—
530#63227—22no—
531#63227—41no—
532#63227—41no—
533#63227—41no—
534#63227—41no—
535#63227—41no—
536#63227—41no—
537#63227—41no—
538#63227—41no—
539#63227—41no—
540#63227—41no—
541#63227—41no—
542#63227—41no—
543#63227—41no—
544#63227—41no—
545#63227—41no—
546#63227—41no—
547#63227—41no—
548#63227—41no—
549#63227—41no—
550#63227—41no—
551#63227—41no—
552#63227—41no—
553#63227—41no—
554#63227—41no—
555#63227C22×C414yes—
556#63227C22×C414yes—
557#63227C22×C414yes—
558#63227C22×C414yes—
559#63227C22×C414yes—
560#63227C22×C414yes—
561#63227C22×C414yes—
562#63227C22×C414yes—
563#63227C22×C414yes—
564C4⋊Dic17—22no—
565C4⋊Dic17—41no—
566C4⋊Dic17—41no—
567C4⋊Dic17—41no—
568#63225—41no—
569#63225—41no—
570#63225—41no—
571#63225—41no—
572#63225—41no—
573#63225—41no—
574#63225C22×C414yes—
575C4×Dic17—22no—
576C4×Dic17—22no—
577C4×Dic17—41no—
578C4×Dic17—41no—
579C4×Dic17—41no—
580C4×Dic17—41no—
581C4×Dic17—41no—
582C4×Dic17—41no—
583C4×Dic17—41no—
584C4×Dic17—41no—
585C4×Dic17—41no—
586C4×Dic17—41no—
587C4×Dic17C22×C414yes—
588#34492—171nomaximal, Sylow
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17C23×C412yes—
596C23×C17C2511yescharacteristic
597C22×D17—21no—
598C22×D17—21no—
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—21no—
610C22×D17—21no—
611C22×D17—21no—
612C22×D17—21no—
613C22×D17—21no—
614C22×D17—21no—
615C22×D17—21no—
616C22×D17—21no—
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—21no—
625C22×D17—28no—
626C22×D17—44no—
627C22×D17—44no—
628C22×D17—44no—
629C22×D17—44no—
630C22×D17—44no—
631C22×D17—82no—
632C22×D17—82no—
633C22×D17—82no—
634C22×D17—82no—
635C22×D17—82no—
636C22×D17—82no—
637C22×D17—82no—
638C22×D17—82no—
639C22×D17C23×C412yes—
640C22×D17C23×C412yes—
641C22×D17C23×C412yes—
642C22×D17C23×C412yes—
643C22×D17C23×C412yes—
644C22×D17H(5,𝔽2)12yes—
645C22×D17H(5,𝔽2)12yes—
646Q8×C17—44no—
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—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—44no—
684C2×C4×C17C23×C412yes—
685C2×C4×C17C23×C412yes—
686C2×C4×C17C23×C412yes—
687C2×C4×C17C23×C412yes—
688C2×C4×C17C23×C412yes—
689C2×C4×C17C23×C412yes—
690C22⋊D17—44no—
691C2×Dic17—21no—
692C2×Dic17—21no—
693C2×Dic17—21no—
694C2×Dic17—21no—
695C2×Dic17—21no—
696C2×Dic17—21no—
697C2×Dic17—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17C23×C412yes—
721C2×Dic17C23×C412yes—
722C2×Dic17C23×C412yes—
723C2×Dic17H(5,𝔽2)12yes—
724D68—28no—
725D68—28no—
726D68—28no—
727D68—44no—
728D68—44no—
729D68—44no—
730D68—44no—
731D68—44no—
732C4×D17—28no—
733C4×D17—44no—
734C4×D17—44no—
735C4×D17—44no—
736C4×D17—44no—
737C4×D17—44no—
738C4×D17—44no—
739C4×D17—82no—
740C4×D17—82no—
741C4×D17—82no—
742C4×D17—82no—
743C4×D17—82no—
744C4×D17—82no—
745C4×D17—82no—
746C4×D17—82no—
747C2×#546—171no—
748#2378D1711yescharacteristic, complemented
749#2377—171no—
750#2376—171no—
751#2375—171no—
752#2372—171no—
753#2364—171no—
754#2363—171no—
755#2359—171no—
756#2358—171no—
757#2353—171no—
758#2353—171no—
759#2342—171no—
760#2342—171no—
761#2339—171no—
762D4×C22⋊C4—171no—
763#2337—171no—
764#2335—171no—
765#2333—171no—
766#2332—171no—
767#2325—171no—
768#2322—171no—
769#2321—171no—
770#2321—171no—
771#2319—171no—
772#2312—171no—
773#2311—171no—
774#2308—171no—
775C4×#121—171no—
776#2290—171no—
777C2×#388—171no—
778C22×C17—22no—
779C22×C17—22no—
780C22×C17—22no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17C24×C411yescharacteristic
786C22×C17C2×H(5,𝔽2)11yescharacteristic
787C22×C17C2×H(5,𝔽2)11yescharacteristic
788C22×C17C2×H(5,𝔽2)11yescharacteristic
789C22×C17#58511yescharacteristic
790C22×C17#58511yescharacteristic
791C22×C17#58511yescharacteristic
792C2×D17—22no—
793C2×D17—22no—
794C2×D17—22no—
795C2×D17—22no—
796C2×D17—22no—
797C2×D17—22no—
798C2×D17—22no—
799C2×D17—22no—
800C2×D17—22no—
801C2×D17—22no—
802C2×D17—22no—
803C2×D17—22no—
804C2×D17—22no—
805C2×D17—22no—
806C2×D17—22no—
807C2×D17—22no—
808C2×D17—22no—
809C2×D17—22no—
810C2×D17—41no—
811C2×D17—41no—
812C2×D17—41no—
813C2×D17—41no—
814C2×D17—41no—
815C2×D17—41no—
816C2×D17—41no—
817C2×D17—41no—
818C2×D17—41no—
819C2×D17—41no—
820C2×D17—41no—
821C2×D17—41no—
822C2×D17—41no—
823C2×D17—41no—
824C2×D17—41no—
825C2×D17—41no—
826C2×D17—88no—
827C2×D17—88no—
828C2×D17#51814yes—
829C4×C17—22no—
830C4×C17—22no—
831C4×C17—22no—
832C4×C17—22no—
833C4×C17—22no—
834C4×C17—22no—
835C4×C17—41no—
836C4×C17—41no—
837C4×C17—41no—
838C4×C17—41no—
839C4×C17—41no—
840C4×C17—41no—
841C4×C17—41no—
842C4×C17—41no—
843Dic17—22no—
844Dic17—22no—
845Dic17—22no—
846Dic17—22no—
847Dic17—41no—
848Dic17—41no—
849Dic17—41no—
850Dic17—41no—
851Dic17—41no—
852Dic17—41no—
853Dic17—41no—
854C22×#41—171no—
855C23×D4—171no—
856#546—1716no—
857C2×#124—171no—
858C2×#123—171no—
859C2×#123—171no—
860C2×C22⋊Q8C2×D1711yescharacteristic
861C2×#121—171no—
862C2×#121—171no—
863C2×#121—171no—
864C2×#120—171no—
865C2×#120—171no—
866C2×C4×D4—171no—
867C2×C4×D4—171no—
868C2×C4×D4—171no—
869C2×C4×D4—171no—
870C2×C4×D4—171no—
871C2×C4×D4—171no—
872C2×C4×D4—171no—
873C2×C4×D4—171no—
874C2×#117—171no—
875C2×#117—171no—
876C22×C4⋊C4—171no—
877C22×C22⋊C4—171no—
878C22×C22⋊C4—171no—
879C22×C22⋊C4—171no—
880C22×C22⋊C4—171no—
881C22×C22⋊C4—171no—
882C22×C22⋊C4—171no—
883C22×C42—171no—
884#391—171no—
885#391—171no—
886#391C2×D1711yescharacteristic, complemented
887#391C2×D1711yescharacteristic, complemented
888#390—171no—
889#390—171no—
890#390—171no—
891#390—171no—
892#390—171no—
893#390—171no—
894#390—171no—
895#390—171no—
896#389—171no—
897#389—171no—
898#389C2×D1711yescharacteristic, complemented
899#389C2×D1711yescharacteristic, complemented
900#388—171no—
901#388—171no—
902#388—171no—
903#388—171no—
904#388—171no—
905#388—171no—
906#388—171no—
907#388—171no—
908#388—171no—
909#388—171no—
910#388—171no—
911#388—171no—
912#388—171no—
913#388—171no—
914#388—171no—
915#388—171no—
916#388—171no—
917#388—171no—
918#388—171no—
919#388—171no—
920#388—171no—
921#388—171no—
922#388—171no—
923#388—171no—
924#388—171no—
925#388—171no—
926#388C2×D1711yescharacteristic
927#388C2×D1711yescharacteristic
928#388C2×D1711yescharacteristic
929#388C2×D1711yescharacteristic
930#387—171no—
931#387—171no—
932#387—171no—
933#387—171no—
934#387—171no—
935#387—171no—
936#387C2×D1711yescharacteristic, complemented
937#387C2×D1711yescharacteristic, complemented
938#387C2×D1711yescharacteristic, complemented
939#387C2×D1711yescharacteristic, complemented
940#386—171no—
941#386—171no—
942#386—171no—
943#386—171no—
944#386—171no—
945#386—171no—
946#386—171no—
947#386—171no—
948#386—171no—
949#386—171no—
950#386—171no—
951#386—171no—
952#386—171no—
953#386—171no—
954#386—171no—
955#386—171no—
956#386—171no—
957#386—171no—
958#386—171no—
959#386—171no—
960#386—171no—
961#386—171no—
962#385—171no—
963#385—171no—
964#385—171no—
965#385—171no—
966#385—171no—
967#385—171no—
968#385—171no—
969#385—171no—
970#383—171no—
971#381—171no—
972#381—171no—
973#381—171no—
974#381—171no—
975#381C2×D1711yescharacteristic
976#380—171no—
977#380—171no—
978#380—171no—
979#380—171no—
980#380—171no—
981#380—171no—
982#380C2×D1711yescharacteristic
983#379—171no—
984#379—171no—
985#379—171no—
986#379—171no—
987C4×C4⋊C4—171no—
988C4×C4⋊C4—171no—
989C4×C4⋊C4—171no—
990C4×C22⋊C4—171no—
991C4×C22⋊C4—171no—
992C4×C22⋊C4—171no—
993C4×C22⋊C4—171no—
994C4×C22⋊C4—171no—
995C4×C22⋊C4—171no—
996C4×C22⋊C4—171no—
997C4×C22⋊C4—171no—
998C4×C22⋊C4—171no—
999C4×C22⋊C4—171no—
1000C4×C22⋊C4—171no—
1001C4×C22⋊C4—171no—
1002C4×C22⋊C4—171no—
1003C4×C22⋊C4—171no—
1004C4×C22⋊C4—171no—
1005#376—171no—
1006#376—171no—
1007C2×#95—171no—
1008C2×#95—171no—
1009C2×#95—171no—
1010C2×C17—42no—
1011C2×C17C2×#51811yescharacteristic
1012C2×C17#342811yescharacteristic
1013C2×C17C4×H(5,𝔽2)11yescharacteristic
1014C2×C17#353411yescharacteristic
1015C2×C17#354211yescharacteristic
1016C2×C17#354511yescharacteristic
1017C2×C17#356011yescharacteristic
1018D17—24no—
1019D17—42no—
1020D17—42no—
1021D17—42no—
1022D17—42no—
1023C25—171no—
1024C25—171no—
1025C2×#41—178no—
1026C2×#41—682no—
1027C2×#41—682no—
1028C22×Q8C22×D1711yescharacteristic
1029C22×D4—171no—
1030C22×D4—178no—
1031C22×D4—171no—
1032C22×D4—171no—
1033C22×D4—171no—
1034C22×D4—171no—
1035C22×D4—171no—
1036C22×D4—171no—
1037C22×D4—171no—
1038C22×D4—171no—
1039C22×D4—682no—
1040C22×D4—682no—
1041C23×C4—171no—
1042C23×C4—171no—
1043C23×C4—171no—
1044C23×C4—171no—
1045C23×C4—171no—
1046C23×C4—171no—
1047C23×C4—171no—
1048C23×C4—171no—
1049C23×C4—171no—
1050C23×C4—171no—
1051C23×C4—171no—
1052C23×C4—171no—
1053C23×C4—171no—
1054C23×C4—171no—
1055C23×C4—171no—
1056C23×C4C22×D1711yescharacteristic
1057#124—178no—
1058#123—178no—
1059#123—178no—
1060C22⋊Q8C4×D1718yescomplemented
1061#121—178no—
1062#121—178no—
1063#121—178no—
1064#120—178no—
1065#120—178no—
1066C4×D4—178no—
1067C4×D4—178no—
1068C4×D4—682no—
1069C4×D4—682no—
1070C4×D4—682no—
1071C4×D4—682no—
1072C4×D4—682no—
1073C4×D4—682no—
1074#117—682no—
1075#117—682no—
1076C2×C4⋊C4—171no—
1077C2×C4⋊C4—171no—
1078C2×C4⋊C4—171no—
1079C2×C4⋊C4—171no—
1080C2×C4⋊C4—171no—
1081C2×C4⋊C4—171no—
1082C2×C4⋊C4—171no—
1083C2×C4⋊C4—171no—
1084C2×C4⋊C4—171no—
1085C2×C4⋊C4—171no—
1086C2×C4⋊C4—171no—
1087C2×C4⋊C4—682no—
1088C2×C4⋊C4C22×D1711yescharacteristic
1089C2×C4⋊C4C22×D1711yescharacteristic
1090C2×C4⋊C4C22×D1711yescharacteristic
1091C2×C4⋊C4C22×D1711yescharacteristic
1092C2×C4⋊C4C22×D1711yescharacteristic
1093C2×C4⋊C4C22×D1711yescharacteristic
1094C2×C4⋊C4C22×D1711yescharacteristic
1095C2×C4⋊C4C22×D1711yescharacteristic
1096C2×C4⋊C4C22×D1711yescharacteristic
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—178no—
1108C2×C22⋊C4—178no—
1109C2×C22⋊C4—171no—
1110C2×C22⋊C4—171no—
1111C2×C22⋊C4—171no—
1112C2×C22⋊C4—171no—
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—171no—
1117C2×C22⋊C4—171no—
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—171no—
1123C2×C22⋊C4—171no—
1124C2×C22⋊C4—171no—
1125C2×C22⋊C4—171no—
1126C2×C22⋊C4—171no—
1127C2×C22⋊C4—171no—
1128C2×C22⋊C4—171no—
1129C2×C22⋊C4—171no—
1130C2×C22⋊C4—171no—
1131C2×C22⋊C4—171no—
1132C2×C22⋊C4—171no—
1133C2×C22⋊C4—171no—
1134C2×C22⋊C4—171no—
1135C2×C22⋊C4—171no—
1136C2×C22⋊C4—171no—
1137C2×C22⋊C4—171no—
1138C2×C22⋊C4—171no—
1139C2×C22⋊C4—171no—
1140C2×C22⋊C4—171no—
1141C2×C22⋊C4—171no—
1142C2×C22⋊C4—171no—
1143C2×C22⋊C4—682no—
1144C2×C22⋊C4—682no—
1145C2×C22⋊C4—682no—
1146C2×C22⋊C4—682no—
1147C2×C22⋊C4C22×D1711yescharacteristic
1148C2×C22⋊C4C22×D1711yescharacteristic
1149C2×C22⋊C4C22×D1711yescharacteristic
1150C2×C22⋊C4C22×D1711yescharacteristic
1151C2×C22⋊C4C22×D1711yescharacteristic
1152C2×C22⋊C4C22×D1711yescharacteristic
1153C2×C42—171no—
1154C2×C42—171no—
1155C2×C42—171no—
1156C2×C42—171no—
1157C2×C42—171no—
1158C2×C42—171no—
1159C2×C42—171no—
1160C2×C42—171no—
1161C2×C42—171no—
1162C2×C42—171no—
1163C2×C42—171no—
1164C2×C42—171no—
1165C2×C42—171no—
1166C2×C42—682no—
1167C2×C42C22×D1711yescharacteristic
1168C2×C42C22×D1711yescharacteristic
1169C2×C42C22×D1711yescharacteristic
1170C2×C42C22×D1711yescharacteristic
1171#95—171no—
1172#95—171no—
1173#95—171no—
1174#95—171no—
1175#95—171no—
1176#95—171no—
1177#95—171no—
1178#95—171no—
1179#95—171no—
1180#95—171no—
1181#95—171no—
1182#95—171no—
1183#95—171no—
1184#95—171no—
1185#95—171no—
1186#95—171no—
1187#95—171no—
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95—171no—
1195#95—171no—
1196#95—171no—
1197#95C22×D1711yescharacteristic
1198#95C22×D1711yescharacteristic
1199#95C22×D1711yescharacteristic
1200#95C22×D1711yescharacteristic
1201#95C22×D1711yescharacteristic
1202#95C22×D1711yescharacteristic
1203#95C22×D1711yescharacteristic
1204#95C22×D1711yescharacteristic
1205#95C22×D1711yescharacteristic
1206#95C22×D1711yescharacteristic
1207#95C22×D1711yescharacteristic
1208#95C22×D1711yescharacteristic
1209#95C22×D1711yescharacteristic
1210#95C22×D1711yescharacteristic
1211C17#3449211yescharacteristic, complemented, Sylow
1212C24—171no—
1213C24—171no—
1214C24—171no—
1215C24—171no—
1216C24—171no—
1217C24—174no—
1218C24—174no—
1219C24—342no—
1220C24—342no—
1221C24—681no—
1222C24—681no—
1223C24—681no—
1224C24—681no—
1225C24—681no—
1226C24—681no—
1227C24—681no—
1228C24—681no—
1229C24—681no—
1230C24—681no—
1231C24C23×D1711yescharacteristic
1232#41—6816no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8C2×C4×D1714yes—
1236C2×D4—174no—
1237C2×D4—174no—
1238C2×D4—174no—
1239C2×D4—174no—
1240C2×D4—174no—
1241C2×D4—174no—
1242C2×D4—174no—
1243C2×D4—174no—
1244C2×D4—174no—
1245C2×D4—342no—
1246C2×D4—342no—
1247C2×D4—342no—
1248C2×D4—342no—
1249C2×D4—342no—
1250C2×D4—342no—
1251C2×D4—681no—
1252C2×D4—681no—
1253C2×D4—681no—
1254C2×D4—681no—
1255C2×D4—681no—
1256C2×D4—681no—
1257C2×D4—681no—
1258C2×D4—681no—
1259C2×D4—681no—
1260C2×D4—681no—
1261C2×D4—6816no—
1262C2×D4—681no—
1263C2×D4—681no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—171no—
1267C22×C4—171no—
1268C22×C4—171no—
1269C22×C4—171no—
1270C22×C4—174no—
1271C22×C4—174no—
1272C22×C4—174no—
1273C22×C4—174no—
1274C22×C4—174no—
1275C22×C4—171no—
1276C22×C4—171no—
1277C22×C4—171no—
1278C22×C4—171no—
1279C22×C4—171no—
1280C22×C4—171no—
1281C22×C4—171no—
1282C22×C4—342no—
1283C22×C4—342no—
1284C22×C4—342no—
1285C22×C4—342no—
1286C22×C4—342no—
1287C22×C4—342no—
1288C22×C4—342no—
1289C22×C4—342no—
1290C22×C4—342no—
1291C22×C4—681no—
1292C22×C4—681no—
1293C22×C4—681no—
1294C22×C4—681no—
1295C22×C4—681no—
1296C22×C4—681no—
1297C22×C4—681no—
1298C22×C4—681no—
1299C22×C4—681no—
1300C22×C4—681no—
1301C22×C4—681no—
1302C22×C4—681no—
1303C22×C4—681no—
1304C22×C4—681no—
1305C22×C4—681no—
1306C22×C4—681no—
1307C22×C4—681no—
1308C22×C4—681no—
1309C22×C4—681no—
1310C22×C4—681no—
1311C22×C4—681no—
1312C22×C4—681no—
1313C22×C4—681no—
1314C22×C4—681no—
1315C22×C4—681no—
1316C22×C4—681no—
1317C22×C4—681no—
1318C22×C4—681no—
1319C22×C4—681no—
1320C22×C4—681no—
1321C22×C4—681no—
1322C22×C4C2×C4×D1714yes—
1323C22×C4C23×D1711yescharacteristic
1324C22×C4C23×D1711yescharacteristic
1325C22×C4C23×D1711yescharacteristic
1326C22×C4C23×D1711yescharacteristic
1327C22×C4C23×D1711yescharacteristic
1328C22×C4C23×D1711yescharacteristic
1329C22×C4C23×D1711yescharacteristic
1330C22×C4C23×D1711yescharacteristic
1331C22×C4C23×D1711yescharacteristic
1332C22×C4C23×D1711yescharacteristic
1333C22×C4C23×D1711yescharacteristic
1334C22×C4C23×D1711yescharacteristic
1335C22×C4C23×D1711yescharacteristic
1336C22×C4C23×D1711yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—174no—
1344C4⋊C4—342no—
1345C4⋊C4—681no—
1346C4⋊C4—681no—
1347C4⋊C4—681no—
1348C4⋊C4—681no—
1349C4⋊C4—681no—
1350C4⋊C4—681no—
1351C4⋊C4—681no—
1352C4⋊C4—681no—
1353C4⋊C4—681no—
1354C4⋊C4C2×C4×D1714yes—
1355C4⋊C4C2×C4×D1714yes—
1356C4⋊C4C2×C4×D1714yes—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—174no—
1362C22⋊C4—174no—
1363C22⋊C4—174no—
1364C22⋊C4—174no—
1365C22⋊C4—174no—
1366C22⋊C4—174no—
1367C22⋊C4—174no—
1368C22⋊C4—174no—
1369C22⋊C4—174no—
1370C22⋊C4—174no—
1371C22⋊C4—342no—
1372C22⋊C4—342no—
1373C22⋊C4—342no—
1374C22⋊C4—342no—
1375C22⋊C4—342no—
1376C22⋊C4—342no—
1377C22⋊C4—342no—
1378C22⋊C4—681no—
1379C22⋊C4—681no—
1380C22⋊C4—681no—
1381C22⋊C4—681no—
1382C22⋊C4—681no—
1383C22⋊C4—681no—
1384C22⋊C4—681no—
1385C22⋊C4—681no—
1386C22⋊C4—681no—
1387C22⋊C4—681no—
1388C22⋊C4—681no—
1389C22⋊C4—681no—
1390C22⋊C4—681no—
1391C22⋊C4—681no—
1392C22⋊C4—681no—
1393C22⋊C4—681no—
1394C22⋊C4—681no—
1395C22⋊C4—681no—
1396C22⋊C4—681no—
1397C22⋊C4—681no—
1398C22⋊C4—681no—
1399C22⋊C4—681no—
1400C22⋊C4—681no—
1401C22⋊C4—681no—
1402C22⋊C4—681no—
1403C22⋊C4—681no—
1404C22⋊C4—681no—
1405C22⋊C4C2×C4×D1714yes—
1406C22⋊C4C2×C4×D1714yes—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—41no—
1411C42—174no—
1412C42—342no—
1413C42—342no—
1414C42—681no—
1415C42—681no—
1416C42—681no—
1417C42—681no—
1418C42—681no—
1419C42—681no—
1420C42—681no—
1421C42—681no—
1422C42—681no—
1423C42—681no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—172no—
1431C23—172no—
1432C23—172no—
1433C23—172no—
1434C23—172no—
1435C23—172no—
1436C23—172no—
1437C23—348no—
1438C23—341no—
1439C23—341no—
1440C23—341no—
1441C23—341no—
1442C23—341no—
1443C23—341no—
1444C23—341no—
1445C23—341no—
1446C23—341no—
1447C23—341no—
1448C23—341no—
1449C23—341no—
1450C23—341no—
1451C23—341no—
1452C23—341no—
1453C23—341no—
1454C23—341no—
1455C23—341no—
1456C23—341no—
1457C23—341no—
1458C23—341no—
1459C23—341no—
1460C23—341no—
1461C23—341no—
1462C23—341no—
1463C23—341no—
1464C23—341no—
1465C23—341no—
1466C23—684no—
1467C23—684no—
1468C23—684no—
1469C23—684no—
1470C23—684no—
1471C23—1362no—
1472C23—1362no—
1473C23—1362no—
1474C23—1362no—
1475C23—1362no—
1476C23—1362no—
1477C23—1362no—
1478C23—1362no—
1479C23C22×C4×D1712yes—
1480C23C24×D1711yescharacteristic
1481Q8—44no—
1482D4—348no—
1483D4—348no—
1484D4—348no—
1485D4—684no—
1486D4—684no—
1487D4—684no—
1488D4—684no—
1489D4—684no—
1490D4—684no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—44no—
1528C2×C4—172no—
1529C2×C4—172no—
1530C2×C4—172no—
1531C2×C4—172no—
1532C2×C4—348no—
1533C2×C4—341no—
1534C2×C4—341no—
1535C2×C4—341no—
1536C2×C4—341no—
1537C2×C4—341no—
1538C2×C4—341no—
1539C2×C4—341no—
1540C2×C4—341no—
1541C2×C4—341no—
1542C2×C4—341no—
1543C2×C4—341no—
1544C2×C4—341no—
1545C2×C4—341no—
1546C2×C4—341no—
1547C2×C4—341no—
1548C2×C4—341no—
1549C2×C4—341no—
1550C2×C4—341no—
1551C2×C4—341no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—341no—
1562C2×C4—684no—
1563C2×C4—684no—
1564C2×C4—684no—
1565C2×C4—684no—
1566C2×C4—684no—
1567C2×C4—684no—
1568C2×C4—1362no—
1569C2×C4—1362no—
1570C2×C4—1362no—
1571C2×C4—1362no—
1572C2×C4—1362no—
1573C2×C4—1362no—
1574C2×C4—1362no—
1575C2×C4—1362no—
1576C2×C4C22×C4×D1712yes—
1577C2×C4C22×C4×D1712yes—
1578C2×C4C22×C4×D1712yes—
1579C2×C4C22×C4×D1712yes—
1580C2×C4C22×C4×D1712yes—
1581C2×C4C22×C4×D1712yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—174no—
1590C22—342no—
1591C22—342no—
1592C22—342no—
1593C22—342no—
1594C22—342no—
1595C22—342no—
1596C22—342no—
1597C22—342no—
1598C22—342no—
1599C22—342no—
1600C22—342no—
1601C22—342no—
1602C22—342no—
1603C22—342no—
1604C22—342no—
1605C22—342no—
1606C22—342no—
1607C22—342no—
1608C22—681no—
1609C22—681no—
1610C22—681no—
1611C22—681no—
1612C22—681no—
1613C22—681no—
1614C22—681no—
1615C22—681no—
1616C22—681no—
1617C22—681no—
1618C22—681no—
1619C22—681no—
1620C22—681no—
1621C22—681no—
1622C22—681no—
1623C22—681no—
1624C22—1368no—
1625C22—1368no—
1626C22C23×C4×D1711yescharacteristic
1627C22H(5,𝔽2)×D1711yescharacteristic
1628C22H(5,𝔽2)×D1711yescharacteristic
1629C22H(5,𝔽2)×D1711yescharacteristic
1630C22#1176364611yescharacteristic
1631C22#1176364611yescharacteristic
1632C22#1176364611yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—342no—
1648C4—342no—
1649C4—342no—
1650C4—342no—
1651C4—681no—
1652C4—681no—
1653C4—681no—
1654C4—681no—
1655C4—681no—
1656C4—681no—
1657C4—681no—
1658C2—42no—
1659C2—344no—
1660C2—682no—
1661C2—682no—
1662C2—682no—
1663C2—682no—
1664C2D17×#51811yescharacteristic
1665C2#1454198611yescharacteristic
1666C2#1454199011yescharacteristic
1667C2#1454297611yescharacteristic
1668C2#1454309711yescharacteristic
1669C2#1454314211yescharacteristic
1670C2#1454332711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2378C2
socle, cosocleC23×C17C25
prime radicalC2×#11763450C2
hypercenter#2378D17
hypocenterC17#34492
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2378

Complements

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

NH ≅ G/Ntype
2. #14531939C2semidirect
3. #14531929C2semidirect
4. #14531924C2semidirect
5. #14531895C2semidirect
6. #14531830C2semidirect
7. #14531821C2semidirect
8. #14531769C2semidirect
9. #14531762C2semidirect
10. #14531723C2semidirect
11. #14531721C2semidirect
12. #14531632C2semidirect
13. #14531628C2semidirect
14. #14531613C2semidirect
15. #14531604C2semidirect
16. #14531596C2semidirect
17. #14531580C2semidirect
18. #14531548C2semidirect
19. #14531542C2semidirect
20. #14531483C2semidirect
21. #14531448C2semidirect
22. #14531446C2semidirect
23. #14531437C2semidirect
24. #14531426C2semidirect
25. #14531378C2semidirect
26. #14531375C2semidirect
27. #14531361C2semidirect
28. #14531292C2semidirect
29. #14531222C2semidirect
30. D17×#388C2semidirect
31. C17×#2378C2semidirect
34. #11763450C4semidirect
43. C2×C4×D68C22semidirect
44. C2×C4×D68C22semidirect
48. C2×#10587579C22semidirect
49. C2×#10587579C22semidirect
51. C2×#10587578C22semidirect
52. C2×#10587558C22semidirect
53. C2×C4⋊C4×D17C22semidirect
60. C2×C42×D17C22semidirect
61. #11762716C22semidirect
62. #11762716C22semidirect
63. #11762711C22semidirect
64. #11762711C22semidirect
67. #11762710C22semidirect
68. #11762710C22semidirect
71. #11762704C22semidirect
72. #11762704C22semidirect
79. #11762701C22semidirect
80. #11762701C22semidirect
81. #11762701C22semidirect
82. #11762701C22semidirect
83. #11762700C22semidirect
84. #11762700C22semidirect
85. #11762700C22semidirect
86. #11762700C22semidirect
87. #11762699C22semidirect
88. #11762699C22semidirect
89. #11762699C22semidirect
90. #11762699C22semidirect
91. #11762699C22semidirect
92. #11762699C22semidirect
93. #11762698C22semidirect
94. #11762698C22semidirect
95. #11762698C22semidirect
96. #11762698C22semidirect
99. #11762695C22semidirect
100. #11762695C22semidirect
101. #11762695C22semidirect
102. #11762695C22semidirect
103. #11762691C22semidirect
104. #11762691C22semidirect
117. #11762687C22semidirect
118. #11762687C22semidirect
119. #11762687C22semidirect
120. #11762687C22semidirect
121. #11762687C22semidirect
122. #11762687C22semidirect
123. #11762687C22semidirect
124. #11762687C22semidirect
127. #11762683C22semidirect
128. #11762683C22semidirect
129. #11762683C22semidirect
130. #11762683C22semidirect
131. #11762680C22semidirect
132. #11762680C22semidirect
133. #11762680C22semidirect
134. #11762680C22semidirect
135. #11762676C22semidirect
137. #11762671C22semidirect
138. #11762671C22semidirect
139. #11762671C22semidirect
140. #11762668C22semidirect
141. #11762668C22semidirect
142. #11762668C22semidirect
143. #11762668C22semidirect
144. #11762666C22semidirect
145. #11762666C22semidirect
150. C4⋊C4×Dic17C22semidirect
151. C4⋊C4×Dic17C22semidirect
152. #11762660C22semidirect
153. C4×#63227C22semidirect
154. C4×#63227C22semidirect
155. C4×#63227C22semidirect
156. C4×#63227C22semidirect
157. C4×#63227C22semidirect
158. C4×#63227C22semidirect
160. #11762656C22semidirect
161. #11762656C22semidirect
162. #11762656C22semidirect
163. #11762656C22semidirect
164. #11762656C22semidirect
165. #11762656C22semidirect
166. #11762656C22semidirect
167. #11762656C22semidirect
168. #11762654C22semidirect
169. #11762654C22semidirect
170. #95×D17C22semidirect
171. #95×D17C22semidirect
172. #95×D17C22semidirect
174. C17×#391C22semidirect
175. C17×#391C22semidirect
176. C17×#389C22semidirect
177. C17×#389C22semidirect
182. C17×#387C22semidirect
183. C17×#387C22semidirect
184. C17×#387C22semidirect
185. C17×#387C22semidirect
195. C2×#63256C2×C4semidirect
198. C22×D68C2×C4semidirect
222. C17×C22⋊Q8C2×C4semidirect
247. #10587633C2×C4semidirect
248. C4×C22⋊D17C2×C4semidirect
312. #10587581C2×C4semidirect
313. #10587581C2×C4semidirect
314. #10587581C2×C4semidirect
315. #10587580C2×C4semidirect
316. #10587580C2×C4semidirect
321. #10587579C2×C4semidirect
324. #10587568C2×C4semidirect
325. #10587568C2×C4semidirect
330. C22⋊C4×D17C2×C4semidirect
331. C22⋊C4×D17C2×C4semidirect
748. #2378D17semidirect
886. #391C2×D17semidirect
887. #391C2×D17semidirect
898. #389C2×D17semidirect
899. #389C2×D17semidirect
936. #387C2×D17semidirect
937. #387C2×D17semidirect
938. #387C2×D17semidirect
939. #387C2×D17semidirect
1060. C22⋊Q8C4×D17semidirect
1211. C17#34492semidirect

Maximal subgroups

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

subgroupindex
C2×#117634502
#145319392
#145319292
#145319242
#145318952
#145318302
#145318212
#145317692
#145317622
#145317232
#145317212
#145316322
#145316282
#145316132
#145316042
#145315962
#145315802
#145315482
#145315422
#145314832
#145314482
#145314462
#145314372
#145314262
#145313782
#145313752
#145313612
#145312922
#145312222
D17×#3882
C17×#23782
#3449217