Finite Group Databasebeta

← #17198560

Subgroups — #17198560

Order 4352.

2306 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763393C211yesmaximal, characteristic
2#14531972C211yesmaximal, characteristic, complemented
3#14531940C211yesmaximal, characteristic, complemented
4#14531930C211yesmaximal, characteristic, complemented
5#14531924C211yesmaximal, characteristic, complemented
6#14531912C211yesmaximal, characteristic, complemented
7#14531901C211yesmaximal, characteristic, complemented
8#14531828C211yesmaximal, characteristic, complemented
9#14531823C211yesmaximal, characteristic, complemented
10#14531817C211yesmaximal, characteristic, complemented
11#14531777C211yesmaximal, characteristic, complemented
12#14531774C211yesmaximal, characteristic, complemented
13#14531760C211yesmaximal, characteristic, complemented
14#14531730C211yesmaximal, characteristic, complemented
15#14531718C211yesmaximal, characteristic, complemented
16#14531628C211yesmaximal, characteristic, complemented
17#14531627C211yesmaximal, characteristic, complemented
18#14531596C211yesmaximal, characteristic, complemented
19#14531559C211yesmaximal, characteristic, complemented
20#14531539C211yesmaximal, characteristic, complemented
21#14531498C211yesmaximal, characteristic, complemented
22#14531485C211yesmaximal, characteristic, complemented
23#14531474C211yesmaximal, characteristic, complemented
24#14531469C211yesmaximal, characteristic, complemented
25#14531447C211yesmaximal, characteristic, complemented
26#14531440C211yesmaximal, characteristic, complemented
27#14531415C211yesmaximal, characteristic, complemented
28#14531332C211yesmaximal, characteristic, complemented
29#124×Dic17C211yesmaximal, characteristic, complemented
30#14531245C211yesmaximal, characteristic, complemented
31C17×#2337C211yesmaximal, characteristic, complemented
32#11763393C4116yescomplemented
33C2×#10587562C2211yescharacteristic
34C2×#10587565C2211yescharacteristic
35C2×#10587633C2211yescharacteristic
36C2×#10587572C2211yescharacteristic
37C2×#10587569C2211yescharacteristic
38C2×#10587632C2211yescharacteristic
39C2×#10587570C2211yescharacteristic
40C2×#10587570C2211yescharacteristic
41C2×#10587625C2211yescharacteristic
42C2×#10587568C2211yescharacteristic
43C2×#10587623C2211yescharacteristic
44C2×Q8×Dic17C2211yescharacteristic, complemented
45C2×C4×D68C2211yescharacteristic
46C2×D4×Dic17C2211yescharacteristic
47C2×#10587579C2211yescharacteristic
48C2×C4×C22⋊D17C2211yescharacteristic
49C2×C4×C22⋊D17C2211yescharacteristic
50C2×#10587567C2211yescharacteristic
51C2×#10587567C2211yescharacteristic, complemented
52C2×#10587558C2211yescharacteristic
53C2×#10587558C2211yescharacteristic
54C2×#10587558C2211yescharacteristic, complemented
55C2×#10587563C2211yescharacteristic, complemented
56C22×#63227C2211yescharacteristic
57C2×C22⋊C4×D17C2211yescharacteristic
58C2×C22⋊C4×D17C2211yescharacteristic
59#11762716C2211yescharacteristic, complemented
60#11762712C2211yescharacteristic
61#11762711C2211yescharacteristic
62#11762710C2211yescharacteristic
63#11762710C2211yescharacteristic
64#11762709C2211yescharacteristic
65#11762709C2211yescharacteristic
66#11762709C2211yescharacteristic
67#11762709C2211yescharacteristic
68#11762709C2211yescharacteristic, complemented
69#11762707C2211yescharacteristic, complemented
70#11762706C2211yescharacteristic, complemented
71#11762706C2211yescharacteristic, complemented
72#11762705C2211yescharacteristic, complemented
73#11762705C2211yescharacteristic, complemented
74#11762704C2211yescharacteristic, complemented
75#11762703C2211yescharacteristic
76#11762702C2211yescharacteristic
77#11762702C2211yescharacteristic
78#11762702C2211yescharacteristic, complemented
79#11762702C2211yescharacteristic, complemented
80#11762701C2211yescharacteristic
81#11762701C2211yescharacteristic
82#11762701C2211yescharacteristic
83#11762701C2211yescharacteristic
84#11762700C2211yescharacteristic
85#11762700C2211yescharacteristic
86#11762700C2211yescharacteristic
87#11762699C2211yescharacteristic
88#11762699C2211yescharacteristic
89#11762699C2211yescharacteristic, complemented
90#11762698C2211yescharacteristic
91#11762698C2211yescharacteristic
92#11762698C2211yescharacteristic
93#11762698C2211yescharacteristic
94#11762698C2211yescharacteristic
95#11762698C2211yescharacteristic
96#11762698C2211yescharacteristic
97#11762698C2211yescharacteristic, complemented
98#11762698C2211yescharacteristic, complemented
99#11762698C2211yescharacteristic, complemented
100#11762697C2211yescharacteristic
101#11762697C2211yescharacteristic
102#11762697C2211yescharacteristic
103#11762696C2211yescharacteristic, complemented
104#11762694C2211yescharacteristic, complemented
105#11762693C2211yescharacteristic, complemented
106#11762692C2211yescharacteristic, complemented
107#11762692C2211yescharacteristic, complemented
108#11762692C2211yescharacteristic, complemented
109#11762691C2211yescharacteristic, complemented
110#11762691C2211yescharacteristic, complemented
111#11762691C2211yescharacteristic, complemented
112#11762691C2211yescharacteristic, complemented
113#11762690C2211yescharacteristic, complemented
114#11762690C2211yescharacteristic, complemented
115#11762688C2211yescharacteristic
116#11762688C2211yescharacteristic, complemented
117#11762687C2211yescharacteristic
118#11762687C2211yescharacteristic
119#11762687C2211yescharacteristic
120#11762687C2211yescharacteristic
121#11762686C2211yescharacteristic
122#11762686C2211yescharacteristic
123#11762686C2211yescharacteristic
124#11762685C2211yescharacteristic
125#11762685C2211yescharacteristic
126#11762685C2211yescharacteristic, complemented
127#11762683C2211yescharacteristic
128#11762683C2211yescharacteristic
129#11762683C2211yescharacteristic, complemented
130#11762683C2211yescharacteristic, complemented
131#11762683C2211yescharacteristic, complemented
132#11762682C2211yescharacteristic
133#11762682C2211yescharacteristic
134#11762681C2211yescharacteristic
135#11762680C2211yescharacteristic
136#11762680C2211yescharacteristic
137#11762678C2211yescharacteristic, complemented
138#11762676C2211yescharacteristic, complemented
139#11762675C2211yescharacteristic, complemented
140#11762671C2211yescharacteristic
141#11762671C2211yescharacteristic
142#11762668C2211yescharacteristic
143#11762667C2211yescharacteristic, complemented
144#11762667C2211yescharacteristic, complemented
145#11762666C2211yescharacteristic
146#11762664C2211yescharacteristic
147#11762664C2211yescharacteristic
148C4⋊C4×Dic17C2211yescharacteristic, complemented
149C4×#63225C2211yescharacteristic, complemented
150C4×#63225C2211yescharacteristic, complemented
151#11762660C2211yescharacteristic, complemented
152#11762660C2211yescharacteristic, complemented
153#11762660C2211yescharacteristic, complemented
154#11762660C2211yescharacteristic, complemented
155C22⋊C4×Dic17C2211yescharacteristic
156C22⋊C4×Dic17C2211yescharacteristic
157C22⋊C4×Dic17C2211yescharacteristic
158C22⋊C4×Dic17C2211yescharacteristic, complemented
159C22⋊C4×Dic17C2211yescharacteristic, complemented
160C4×#63227C2211yescharacteristic
161C4×#63227C2211yescharacteristic
162C4×#63227C2211yescharacteristic, complemented
163C4×#63227C2211yescharacteristic, complemented
164#11762656C2211yescharacteristic
165#11762656C2211yescharacteristic
166#11762656C2211yescharacteristic
167#11762656C2211yescharacteristic
168#11762656C2211yescharacteristic, complemented
169#11762655C2211yescharacteristic, complemented
170C2×#10587502C2211yescharacteristic, complemented
171#95×D17C2211yescharacteristic, complemented
172C42×Dic17C2211yescharacteristic, complemented
173C2×C17×#124C2211yescharacteristic
174C17×#391C2211yescharacteristic, complemented
175C17×#391C2211yescharacteristic, complemented
176C17×#388C2211yescharacteristic
177C17×#388C2211yescharacteristic
178C17×#388C2211yescharacteristic, complemented
179C17×#388C2211yescharacteristic, complemented
180C17×#386C2211yescharacteristic
181C17×#386C2211yescharacteristic
182C17×#385C2211yescharacteristic
183C17×#385C2211yescharacteristic, complemented
184C17×#383C2211yescharacteristic, complemented
185C4×C4⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic
187C4×C22⋊C4×C17C2211yescharacteristic, complemented
188C24×D17C2311yescharacteristic
189C22×Q8×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C23×Dic17C2311yescharacteristic
198C23×Dic17C2311yescharacteristic
199C23×Dic17C2311yescharacteristic
200C22×D68C2311yescharacteristic
201C22×D68C2311yescharacteristic
202C22×C4×D17C2311yescharacteristic
203C22×C4×D17C2311yescharacteristic
204C22×C4×D17C2311yescharacteristic
205C22×C4×D17C2311yescharacteristic
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C17×#124C2×C418yescomplemented
210C2×C4⋊C4×C17C2311yescharacteristic
211C2×C4⋊C4×C17C2311yescharacteristic
212C2×C4⋊C4×C17C2311yescharacteristic
213C2×C4⋊C4×C17C2311yescharacteristic
214C2×C22⋊C4×C17C2311yescharacteristic
215C2×C22⋊C4×C17C2311yescharacteristic
216C2×C22⋊C4×C17C2311yescharacteristic
217C2×C22⋊C4×C17C2311yescharacteristic
218C2×C22⋊C4×C17C2311yescharacteristic
219C2×C22⋊C4×C17C2311yescharacteristic
220C2×C22⋊C4×C17C2311yescharacteristic
221C2×C22⋊C4×C17C2311yescharacteristic
222C2×C22⋊C4×C17C2311yescharacteristic
223C2×C22⋊C4×C17C2311yescharacteristic
224C2×C42×C17C2311yescharacteristic
225C2×C42×C17C2311yescharacteristic
226C2×C42×C17C2311yescharacteristic
227C2×C42×C17C2311yescharacteristic
228C2×C42×C17C2311yescharacteristic
229C2×C22⋊Dic17C2311yescharacteristic
230C2×C22⋊Dic17C2311yescharacteristic
231C2×C22⋊Dic17C2311yescharacteristic
232C2×C22⋊Dic17C2311yescharacteristic
233C2×C22⋊Dic17C2311yescharacteristic
234C2×C22⋊Dic17C2311yescharacteristic
235C2×C22⋊Dic17C2311yescharacteristic
236C2×C22⋊Dic17C2311yescharacteristic
237#10587633C2×C418yescomplemented
238#10587632C2×C418yescomplemented
239Q8×Dic17—42no—
240#10587625C2×C418yescomplemented
241#10587623C2×C418yescomplemented
242D4×Dic17—42no—
243C4×C22⋊D17—42no—
244C4×C22⋊D17—42no—
245C2×#63227—42no—
246C2×#63227C2311yescharacteristic
247C2×#63227C2311yescharacteristic
248C2×#63227C2311yescharacteristic
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×C4⋊Dic17C2311yescharacteristic
275C2×C4⋊Dic17C2311yescharacteristic
276C2×C4⋊Dic17C2311yescharacteristic
277C2×C4⋊Dic17C2311yescharacteristic
278C2×C4⋊Dic17C2311yescharacteristic
279C2×C4⋊Dic17C2311yescharacteristic
280C2×#63225C2311yescharacteristic
281C2×#63225C2311yescharacteristic
282C2×#63225C2311yescharacteristic
283C2×#63225C2311yescharacteristic
284C2×#63225C2311yescharacteristic
285C2×#63225C2311yescharacteristic
286C2×#63225C2311yescharacteristic
287C2×#63225C2311yescharacteristic
288C2×#63225C2311yescharacteristic
289C2×#63225C2311yescharacteristic
290C2×#63225C2311yescharacteristic
291C2×#63225C2311yescharacteristic
292C2×#63225C2311yescharacteristic
293C2×#63225C2311yescharacteristic
294C2×#63225C2311yescharacteristic
295C2×#63225C2311yescharacteristic
296C2×C4×Dic17C2311yescharacteristic
297C2×C4×Dic17C2311yescharacteristic
298C2×C4×Dic17C2311yescharacteristic
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
312C2×C4×Dic17C2311yescharacteristic
313#10587579—42no—
314#10587572C2×C418yescomplemented
315#10587570C2×C418yescomplemented
316#10587570C2×C418yescomplemented
317#10587569C2×C418yescomplemented
318#10587568C2×C418yescomplemented
319#10587567—42no—
320#10587567C2×C418yescomplemented
321C22⋊C4×D17—42no—
322C22⋊C4×D17C2×C418yescomplemented
323#10587565C2×C418yescomplemented
324#10587563—42no—
325#10587562C2×C418yescomplemented
326C4×D68C2×C418yescomplemented
327#10587558—42no—
328#10587558—42no—
329#10587558—42no—
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
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
370C24×C17C2411yescharacteristic
371C24×C17C2411yescharacteristic
372C23×D17—41no—
373C23×D17—41no—
374C23×D17—41no—
375C23×D17—41no—
376C23×D17—41no—
377C23×D17—41no—
378C23×D17C22×C414yes—
379C23×D17C2411yescharacteristic
380C23×D17C2411yescharacteristic
381C23×D17C2411yescharacteristic
382C2×Q8×C17—41no—
383C2×Q8×C17—41no—
384C2×Q8×C17C22×C414yes—
385C2×D4×C17—41no—
386C2×D4×C17—41no—
387C2×D4×C17C22×C414yes—
388C22×C4×C17—41no—
389C22×C4×C17—41no—
390C22×C4×C17—41no—
391C22×C4×C17—41no—
392C22×C4×C17—41no—
393C22×C4×C17—41no—
394C22×C4×C17C2411yescharacteristic
395C22×C4×C17C2411yescharacteristic
396C22×C4×C17C2411yescharacteristic
397C22×C4×C17C2411yescharacteristic
398C22×C4×C17C2411yescharacteristic
399C22×C4×C17C2411yescharacteristic
400C22×C4×C17C2411yescharacteristic
401C22×C4×C17C2411yescharacteristic
402C22×C4×C17C2411yescharacteristic
403C22×C4×C17C2411yescharacteristic
404C22×C4×C17C2411yescharacteristic
405C22×C4×C17C2411yescharacteristic
406C22×C4×C17C2411yescharacteristic
407C2×C22⋊D17—41no—
408C2×C22⋊D17—41no—
409C2×C22⋊D17—41no—
410C2×C22⋊D17—41no—
411C2×C22⋊D17—41no—
412C2×C22⋊D17—41no—
413C2×C22⋊D17—41no—
414C2×C22⋊D17—41no—
415C2×C22⋊D17C22×C414yes—
416C2×C22⋊D17C22×C414yes—
417C2×C22⋊D17C22×C414yes—
418C2×C22⋊D17C22×C414yes—
419C22×Dic17—22no—
420C22×Dic17—22no—
421C22×Dic17—41no—
422C22×Dic17—41no—
423C22×Dic17—41no—
424C22×Dic17—41no—
425C22×Dic17—41no—
426C22×Dic17—41no—
427C22×Dic17C22×C414yes—
428C22×Dic17C2411yescharacteristic
429C22×Dic17C2411yescharacteristic
430C22×Dic17C2411yescharacteristic
431C22×Dic17C2411yescharacteristic
432C22×Dic17C2411yescharacteristic
433C22×Dic17C2411yescharacteristic
434C22×Dic17C2411yescharacteristic
435C22×Dic17C2411yescharacteristic
436C22×Dic17C2411yescharacteristic
437C22×Dic17C2411yescharacteristic
438C22×Dic17C2411yescharacteristic
439C22×Dic17C2411yescharacteristic
440C22×Dic17C2411yescharacteristic
441C2×D68—41no—
442C2×D68—41no—
443C2×D68—41no—
444C2×D68—41no—
445C2×D68C22×C414yes—
446C2×D68C22×C414yes—
447C2×C4×D17—22no—
448C2×C4×D17—41no—
449C2×C4×D17—41no—
450C2×C4×D17—41no—
451C2×C4×D17—41no—
452C2×C4×D17—41no—
453C2×C4×D17—41no—
454C2×C4×D17—41no—
455C2×C4×D17—41no—
456C2×C4×D17—41no—
457C2×C4×D17—41no—
458C2×C4×D17—41no—
459C2×C4×D17—41no—
460C2×C4×D17—41no—
461C2×C4×D17—41no—
462C2×C4×D17—41no—
463C2×C4×D17—41no—
464C2×C4×D17—41no—
465C2×C4×D17C22×C414yes—
466C2×C4×D17C22×C414yes—
467C2×C4×D17C22×C414yes—
468C4⋊C4×C17—41no—
469C4⋊C4×C17—41no—
470C4⋊C4×C17—41no—
471C4⋊C4×C17—41no—
472C22⋊C4×C17—41no—
473C22⋊C4×C17—41no—
474C22⋊C4×C17—41no—
475C22⋊C4×C17—41no—
476C22⋊C4×C17—41no—
477C22⋊C4×C17—41no—
478C22⋊C4×C17C22×C414yes—
479C22⋊C4×C17C22×C414yes—
480C22⋊C4×C17C22×C414yes—
481C22⋊C4×C17C22×C414yes—
482C42×C17—41no—
483C42×C17—41no—
484C42×C17—41no—
485C42×C17—41no—
486C42×C17C22×C414yes—
487C22⋊Dic17—22no—
488C22⋊Dic17—22no—
489C22⋊Dic17—41no—
490C22⋊Dic17—41no—
491C22⋊Dic17—41no—
492C22⋊Dic17—41no—
493C22⋊Dic17C22×C414yes—
494C22⋊Dic17C22×C414yes—
495#63227—22no—
496#63227—22no—
497#63227—22no—
498#63227—22no—
499#63227—22no—
500#63227—41no—
501#63227—41no—
502#63227—41no—
503#63227—41no—
504#63227—41no—
505#63227—41no—
506#63227—41no—
507#63227—41no—
508#63227—41no—
509#63227—41no—
510#63227—41no—
511#63227—41no—
512#63227—41no—
513#63227—41no—
514#63227—41no—
515#63227C22×C414yes—
516#63227C22×C414yes—
517#63227C22×C414yes—
518#63227C22×C414yes—
519#63227C22×C414yes—
520#63227C22×C414yes—
521#63227C22×C414yes—
522#63227C22×C414yes—
523C4⋊Dic17—41no—
524C4⋊Dic17—41no—
525C4⋊Dic17—41no—
526C4⋊Dic17—41no—
527C4⋊Dic17C22×C414yes—
528C4⋊Dic17C22×C414yes—
529#63225—22no—
530#63225—22no—
531#63225—22no—
532#63225—41no—
533#63225—41no—
534#63225—41no—
535#63225—41no—
536#63225—41no—
537#63225—41no—
538#63225—41no—
539#63225—41no—
540#63225—41no—
541#63225C22×C414yes—
542#63225C22×C414yes—
543#63225C22×C414yes—
544#63225C22×C414yes—
545C4×Dic17—22no—
546C4×Dic17—22no—
547C4×Dic17—22no—
548C4×Dic17—22no—
549C4×Dic17—22no—
550C4×Dic17—41no—
551C4×Dic17—41no—
552C4×Dic17—41no—
553C4×Dic17—41no—
554C4×Dic17—41no—
555C4×Dic17—41no—
556C4×Dic17—41no—
557C4×Dic17—41no—
558C4×Dic17—41no—
559C4×Dic17—41no—
560C4×Dic17—41no—
561C4×Dic17C22×C414yes—
562#34446—171nomaximal, Sylow
563C23×C17—21no—
564C23×C17—21no—
565C23×C17—21no—
566C23×C17—21no—
567C23×C17—21no—
568C23×C17—21no—
569C23×C17—21no—
570C23×C17—21no—
571C23×C17—21no—
572C23×C17—21no—
573C23×C17—21no—
574C23×C17—21no—
575C23×C17C23×C412yes—
576C23×C17C23×C412yes—
577C23×C17C2511yescharacteristic
578C22×D17—21no—
579C22×D17—21no—
580C22×D17—21no—
581C22×D17—21no—
582C22×D17—21no—
583C22×D17—21no—
584C22×D17—21no—
585C22×D17—21no—
586C22×D17—21no—
587C22×D17—21no—
588C22×D17—21no—
589C22×D17—21no—
590C22×D17—21no—
591C22×D17—21no—
592C22×D17—21no—
593C22×D17—21no—
594C22×D17—21no—
595C22×D17—21no—
596C22×D17—44no—
597C22×D17—44no—
598C22×D17—44no—
599C22×D17—82no—
600C22×D17—82no—
601C22×D17—82no—
602C22×D17—82no—
603C22×D17C23×C412yes—
604C22×D17C23×C412yes—
605C22×D17C23×C412yes—
606Q8×C17—44no—
607D4×C17—44no—
608C2×C4×C17—21no—
609C2×C4×C17—21no—
610C2×C4×C17—21no—
611C2×C4×C17—21no—
612C2×C4×C17—21no—
613C2×C4×C17—21no—
614C2×C4×C17—21no—
615C2×C4×C17—21no—
616C2×C4×C17—21no—
617C2×C4×C17—21no—
618C2×C4×C17—21no—
619C2×C4×C17—21no—
620C2×C4×C17—21no—
621C2×C4×C17—21no—
622C2×C4×C17—21no—
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—82no—
643C2×C4×C17—82no—
644C2×C4×C17C23×C412yes—
645C2×C4×C17C23×C412yes—
646C2×C4×C17C23×C412yes—
647C2×C4×C17C23×C412yes—
648C2×C4×C17C23×C412yes—
649C22⋊D17—44no—
650C22⋊D17—44no—
651C22⋊D17—44no—
652C22⋊D17—44no—
653C2×Dic17—21no—
654C2×Dic17—21no—
655C2×Dic17—21no—
656C2×Dic17—21no—
657C2×Dic17—21no—
658C2×Dic17—21no—
659C2×Dic17—21no—
660C2×Dic17—21no—
661C2×Dic17—21no—
662C2×Dic17—21no—
663C2×Dic17—21no—
664C2×Dic17—21no—
665C2×Dic17—21no—
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—44no—
686C2×Dic17—82no—
687C2×Dic17—82no—
688C2×Dic17C23×C412yes—
689C2×Dic17C23×C412yes—
690C2×Dic17C23×C412yes—
691C2×Dic17C23×C412yes—
692C2×Dic17C23×C412yes—
693C2×Dic17H(5,𝔽2)12yes—
694C2×Dic17H(5,𝔽2)12yes—
695D68—44no—
696D68—44no—
697C4×D17—44no—
698C4×D17—44no—
699C4×D17—44no—
700C4×D17—82no—
701C4×D17—82no—
702C4×D17—82no—
703C4×D17—82no—
704C2×#538—171no—
705#2383—171no—
706#2377—171no—
707#2376—171no—
708#2375—171no—
709#2374—171no—
710#2373—171no—
711#2364—171no—
712#2363—171no—
713#2363—171no—
714#2359—171no—
715#2359—171no—
716#2358—171no—
717#2354—171no—
718#2353—171no—
719#2342—171no—
720#2342—171no—
721#2337—171no—
722#2337D1711yescharacteristic, complemented
723#2334—171no—
724#2332—171no—
725#2326—171no—
726#2325—171no—
727#2324—171no—
728#2323—171no—
729#2321—171no—
730#2321—171no—
731#2318—171no—
732C4×#126—171no—
733C4×#124—171no—
734#2293—171no—
735C22×C17—22no—
736C22×C17—22no—
737C22×C17—22no—
738C22×C17—22no—
739C22×C17—22no—
740C22×C17—22no—
741C22×C17—41no—
742C22×C17—41no—
743C22×C17—41no—
744C22×C17—41no—
745C22×C17—41no—
746C22×C17—41no—
747C22×C17—41no—
748C22×C17—41no—
749C22×C17C24×C411yescharacteristic
750C22×C17C2×H(5,𝔽2)11yescharacteristic
751C22×C17C2×H(5,𝔽2)11yescharacteristic
752C22×C17#58511yescharacteristic
753C22×C17#58511yescharacteristic
754C22×C17#58511yescharacteristic
755C22×C17#58511yescharacteristic
756C2×D17—22no—
757C2×D17—22no—
758C2×D17—22no—
759C2×D17—22no—
760C2×D17—22no—
761C2×D17—22no—
762C2×D17—22no—
763C2×D17—22no—
764C2×D17—22no—
765C2×D17—41no—
766C2×D17—41no—
767C2×D17—41no—
768C2×D17—41no—
769C2×D17—41no—
770C2×D17—41no—
771C2×D17—41no—
772C2×D17—41no—
773C2×D17—41no—
774C2×D17—41no—
775C2×D17—41no—
776C2×D17—41no—
777C2×D17—88no—
778C4×C17—22no—
779C4×C17—22no—
780C4×C17—22no—
781C4×C17—22no—
782C4×C17—22no—
783C4×C17—41no—
784C4×C17—41no—
785C4×C17—41no—
786C4×C17—41no—
787C4×C17—41no—
788C4×C17—41no—
789C4×C17—41no—
790C4×C17—41no—
791Dic17—22no—
792Dic17—22no—
793Dic17—22no—
794Dic17—22no—
795Dic17—22no—
796Dic17—22no—
797Dic17—22no—
798Dic17—41no—
799Dic17—41no—
800Dic17—41no—
801Dic17—41no—
802Dic17—41no—
803Dic17—41no—
804#538—1716no—
805C2×#126—171no—
806C2×#126—171no—
807C2×#124—171no—
808C2×#124C2×D1711yescharacteristic
809C2×#123—171no—
810C2×#123—171no—
811C2×C22⋊Q8—171no—
812C2×#121—171no—
813C2×#121—171no—
814C2×#121—171no—
815C2×#120—171no—
816C2×#120—171no—
817C2×C4×Q8—171no—
818C2×C4×D4—171no—
819C2×C4×D4—171no—
820C2×C4×D4—171no—
821C2×C4×D4—171no—
822C2×C4×D4—171no—
823C2×C4×D4—171no—
824C2×C4×D4—171no—
825C2×#117—171no—
826C2×#117—171no—
827C2×#117—171no—
828C2×#117—171no—
829C22×C22⋊C4—171no—
830C22×C22⋊C4—171no—
831C22×C22⋊C4—171no—
832#391—171no—
833#391C2×D1711yescharacteristic, complemented
834#391C2×D1711yescharacteristic, complemented
835#390—171no—
836#390—171no—
837#390—171no—
838#390—171no—
839#390—171no—
840#390—171no—
841#390—171no—
842#390—171no—
843#390—171no—
844#389—171no—
845#389—171no—
846#389—171no—
847#389—171no—
848#389—171no—
849#389—171no—
850#388—171no—
851#388—171no—
852#388—171no—
853#388—171no—
854#388—171no—
855#388—171no—
856#388—171no—
857#388—171no—
858#388—171no—
859#388—171no—
860#388—171no—
861#388—171no—
862#388—171no—
863#388—171no—
864#388—171no—
865#388—171no—
866#388—171no—
867#388—171no—
868#388—171no—
869#388—171no—
870#388—171no—
871#388—171no—
872#388—171no—
873#388—171no—
874#388—171no—
875#388—171no—
876#388—171no—
877#388—171no—
878#388C2×D1711yescharacteristic
879#388C2×D1711yescharacteristic
880#388C2×D1711yescharacteristic, complemented
881#388C2×D1711yescharacteristic, complemented
882#387—171no—
883#387—171no—
884#387—171no—
885#387—171no—
886#387—171no—
887#387—171no—
888#387—171no—
889#387—171no—
890#387—171no—
891#387—171no—
892#387—171no—
893#387—171no—
894#386—171no—
895#386—171no—
896#386—171no—
897#386—171no—
898#386—171no—
899#386—171no—
900#386—171no—
901#386—171no—
902#386—171no—
903#386—171no—
904#386—171no—
905#386—171no—
906#386C2×D1711yescharacteristic
907#386C2×D1711yescharacteristic
908#385—171no—
909#385—171no—
910#385—171no—
911#385—171no—
912#385—171no—
913#385—171no—
914#385—171no—
915#385—171no—
916#385—171no—
917#385—171no—
918#385C2×D1711yescharacteristic
919#385C2×D1711yescharacteristic, complemented
920#384—171no—
921#383—171no—
922#383C2×D1711yescharacteristic, complemented
923#382—171no—
924#381—171no—
925#381—171no—
926#380—171no—
927#380—171no—
928#380—171no—
929#380—171no—
930#379—171no—
931#379—171no—
932C4×C4⋊C4—171no—
933C4×C4⋊C4—171no—
934C4×C4⋊C4—171no—
935C4×C4⋊C4—171no—
936C4×C4⋊C4—171no—
937C4×C4⋊C4—171no—
938C4×C4⋊C4—171no—
939C4×C4⋊C4C2×D1711yescharacteristic, complemented
940C4×C22⋊C4—171no—
941C4×C22⋊C4—171no—
942C4×C22⋊C4—171no—
943C4×C22⋊C4—171no—
944C4×C22⋊C4—171no—
945C4×C22⋊C4—171no—
946C4×C22⋊C4—171no—
947C4×C22⋊C4—171no—
948C4×C22⋊C4—171no—
949C4×C22⋊C4—171no—
950C4×C22⋊C4—171no—
951C4×C22⋊C4—171no—
952C4×C22⋊C4—171no—
953C4×C22⋊C4—171no—
954C4×C22⋊C4C2×D1711yescharacteristic
955C4×C22⋊C4C2×D1711yescharacteristic, complemented
956#376—171no—
957C2×#95—171no—
958C2×#95—171no—
959C43—171no—
960C2×C17—42no—
961C2×C17—42no—
962C2×C17#342811yescharacteristic
963C2×C17C4×H(5,𝔽2)11yescharacteristic
964C2×C17C4×H(5,𝔽2)11yescharacteristic
965C2×C17#354511yescharacteristic
966C2×C17#354611yescharacteristic
967C2×C17#356011yescharacteristic
968C2×C17#356611yescharacteristic
969D17—42no—
970D17—42no—
971D17—42no—
972C25—171no—
973C22×Q8C22×D1711yescharacteristic
974C22×D4—171no—
975C22×D4—171no—
976C22×D4—171no—
977C22×D4—171no—
978C22×D4—171no—
979C22×D4—171no—
980C22×D4C22×D1711yescharacteristic
981C23×C4—171no—
982C23×C4—171no—
983C23×C4—171no—
984C23×C4—171no—
985C23×C4—171no—
986C23×C4—171no—
987C23×C4—171no—
988C23×C4—171no—
989C23×C4—171no—
990C23×C4—171no—
991C23×C4C22×D1711yescharacteristic
992C23×C4C22×D1711yescharacteristic
993#126—178no—
994#126—178no—
995#124—178no—
996#124C4×D1718yescomplemented
997#123—178no—
998#123—178no—
999C22⋊Q8—178no—
1000#121—178no—
1001#121—178no—
1002#121—178no—
1003#120—178no—
1004#120—178no—
1005C4×Q8—682no—
1006C4×D4—178no—
1007C4×D4—178no—
1008C4×D4—682no—
1009C4×D4—682no—
1010C4×D4—682no—
1011C4×D4—682no—
1012C4×D4—682no—
1013#117—682no—
1014#117—682no—
1015#117—682no—
1016#117—682no—
1017C2×C4⋊C4—171no—
1018C2×C4⋊C4—171no—
1019C2×C4⋊C4—171no—
1020C2×C4⋊C4—171no—
1021C2×C4⋊C4—171no—
1022C2×C4⋊C4—171no—
1023C2×C4⋊C4—171no—
1024C2×C4⋊C4—171no—
1025C2×C4⋊C4—171no—
1026C2×C4⋊C4—171no—
1027C2×C4⋊C4—171no—
1028C2×C4⋊C4—171no—
1029C2×C4⋊C4—171no—
1030C2×C4⋊C4—171no—
1031C2×C4⋊C4—171no—
1032C2×C4⋊C4—171no—
1033C2×C4⋊C4—171no—
1034C2×C4⋊C4—171no—
1035C2×C4⋊C4—171no—
1036C2×C4⋊C4—171no—
1037C2×C4⋊C4—171no—
1038C2×C4⋊C4—171no—
1039C2×C4⋊C4C22×D1711yescharacteristic
1040C2×C4⋊C4C22×D1711yescharacteristic
1041C2×C4⋊C4C22×D1711yescharacteristic
1042C2×C4⋊C4C22×D1711yescharacteristic
1043C2×C22⋊C4—171no—
1044C2×C22⋊C4—171no—
1045C2×C22⋊C4—171no—
1046C2×C22⋊C4—171no—
1047C2×C22⋊C4—171no—
1048C2×C22⋊C4—171no—
1049C2×C22⋊C4—171no—
1050C2×C22⋊C4—171no—
1051C2×C22⋊C4—171no—
1052C2×C22⋊C4—171no—
1053C2×C22⋊C4—178no—
1054C2×C22⋊C4—171no—
1055C2×C22⋊C4—171no—
1056C2×C22⋊C4—171no—
1057C2×C22⋊C4—171no—
1058C2×C22⋊C4—171no—
1059C2×C22⋊C4—171no—
1060C2×C22⋊C4—171no—
1061C2×C22⋊C4—171no—
1062C2×C22⋊C4—171no—
1063C2×C22⋊C4—171no—
1064C2×C22⋊C4—171no—
1065C2×C22⋊C4—171no—
1066C2×C22⋊C4—171no—
1067C2×C22⋊C4—171no—
1068C2×C22⋊C4—171no—
1069C2×C22⋊C4—171no—
1070C2×C22⋊C4—171no—
1071C2×C22⋊C4—171no—
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—682no—
1081C2×C22⋊C4—682no—
1082C2×C22⋊C4C22×D1711yescharacteristic
1083C2×C22⋊C4C22×D1711yescharacteristic
1084C2×C22⋊C4C22×D1711yescharacteristic
1085C2×C22⋊C4C22×D1711yescharacteristic
1086C2×C22⋊C4C22×D1711yescharacteristic
1087C2×C22⋊C4C22×D1711yescharacteristic
1088C2×C22⋊C4C22×D1711yescharacteristic
1089C2×C22⋊C4C22×D1711yescharacteristic
1090C2×C22⋊C4C22×D1711yescharacteristic
1091C2×C22⋊C4C22×D1711yescharacteristic
1092C2×C42—171no—
1093C2×C42—171no—
1094C2×C42—171no—
1095C2×C42—171no—
1096C2×C42—171no—
1097C2×C42—171no—
1098C2×C42—171no—
1099C2×C42—171no—
1100C2×C42—171no—
1101C2×C42—171no—
1102C2×C42—171no—
1103C2×C42—171no—
1104C2×C42—171no—
1105C2×C42—171no—
1106C2×C42—171no—
1107C2×C42—171no—
1108C2×C42—171no—
1109C2×C42C22×D1711yescharacteristic
1110C2×C42C22×D1711yescharacteristic
1111C2×C42C22×D1711yescharacteristic
1112C2×C42C22×D1711yescharacteristic
1113C2×C42C22×D1711yescharacteristic
1114#95—171no—
1115#95—171no—
1116#95—171no—
1117#95—171no—
1118#95—171no—
1119#95—171no—
1120#95—171no—
1121#95—171no—
1122#95—171no—
1123#95—171no—
1124#95—171no—
1125#95—171no—
1126#95—171no—
1127#95—171no—
1128#95—171no—
1129#95—171no—
1130#95—171no—
1131#95—171no—
1132#95—171no—
1133#95—171no—
1134#95—171no—
1135#95—171no—
1136#95—171no—
1137#95—171no—
1138#95—171no—
1139#95—171no—
1140#95—171no—
1141#95—171no—
1142#95C22×D1711yescharacteristic
1143#95C22×D1711yescharacteristic
1144#95C22×D1711yescharacteristic
1145#95C22×D1711yescharacteristic
1146#95C22×D1711yescharacteristic
1147#95C22×D1711yescharacteristic
1148#95C22×D1711yescharacteristic
1149#95C22×D1711yescharacteristic
1150#95C22×D1711yescharacteristic
1151#95C22×D1711yescharacteristic
1152#95C22×D1711yescharacteristic
1153#95C22×D1711yescharacteristic
1154C17#3444611yescharacteristic, complemented, Sylow
1155C24—171no—
1156C24—171no—
1157C24—171no—
1158C24—174no—
1159C24—681no—
1160C24—681no—
1161C24—681no—
1162C24—681no—
1163C24—681no—
1164C24—681no—
1165C24C23×D1711yescharacteristic
1166C24C23×D1711yescharacteristic
1167C2×Q8—41no—
1168C2×Q8—41no—
1169C2×Q8C2×C4×D1714yes—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—174no—
1173C2×D4—174no—
1174C2×D4—174no—
1175C2×D4—174no—
1176C2×D4—174no—
1177C2×D4—174no—
1178C2×D4—681no—
1179C2×D4—681no—
1180C2×D4—681no—
1181C2×D4—681no—
1182C2×D4—681no—
1183C2×D4—681no—
1184C2×D4—681no—
1185C2×D4—681no—
1186C2×D4—681no—
1187C2×D4—681no—
1188C2×D4—681no—
1189C2×D4—681no—
1190C2×D4C2×C4×D1714yes—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—171no—
1198C22×C4—171no—
1199C22×C4—171no—
1200C22×C4—171no—
1201C22×C4—171no—
1202C22×C4—171no—
1203C22×C4—171no—
1204C22×C4—174no—
1205C22×C4—174no—
1206C22×C4—174no—
1207C22×C4—174no—
1208C22×C4—171no—
1209C22×C4—171no—
1210C22×C4—171no—
1211C22×C4—171no—
1212C22×C4—171no—
1213C22×C4—171no—
1214C22×C4—342no—
1215C22×C4—342no—
1216C22×C4—342no—
1217C22×C4—681no—
1218C22×C4—681no—
1219C22×C4—681no—
1220C22×C4—681no—
1221C22×C4—681no—
1222C22×C4—681no—
1223C22×C4—681no—
1224C22×C4—681no—
1225C22×C4—681no—
1226C22×C4—681no—
1227C22×C4—681no—
1228C22×C4—681no—
1229C22×C4—681no—
1230C22×C4—681no—
1231C22×C4—681no—
1232C22×C4—681no—
1233C22×C4—681no—
1234C22×C4—681no—
1235C22×C4—681no—
1236C22×C4—681no—
1237C22×C4—681no—
1238C22×C4—681no—
1239C22×C4—681no—
1240C22×C4C23×D1711yescharacteristic
1241C22×C4C23×D1711yescharacteristic
1242C22×C4C23×D1711yescharacteristic
1243C22×C4C23×D1711yescharacteristic
1244C22×C4C23×D1711yescharacteristic
1245C22×C4C23×D1711yescharacteristic
1246C22×C4C23×D1711yescharacteristic
1247C22×C4C23×D1711yescharacteristic
1248C22×C4C23×D1711yescharacteristic
1249C22×C4C23×D1711yescharacteristic
1250C22×C4C23×D1711yescharacteristic
1251C22×C4C23×D1711yescharacteristic
1252C22×C4C23×D1711yescharacteristic
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—174no—
1258C4⋊C4—174no—
1259C4⋊C4—174no—
1260C4⋊C4—174no—
1261C4⋊C4—174no—
1262C4⋊C4—174no—
1263C4⋊C4—342no—
1264C4⋊C4—342no—
1265C4⋊C4—342no—
1266C4⋊C4—681no—
1267C4⋊C4—681no—
1268C4⋊C4—681no—
1269C4⋊C4—681no—
1270C4⋊C4—681no—
1271C4⋊C4—681no—
1272C4⋊C4—681no—
1273C4⋊C4—681no—
1274C4⋊C4—681no—
1275C4⋊C4—681no—
1276C4⋊C4—681no—
1277C4⋊C4—681no—
1278C4⋊C4—681no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—174no—
1286C22⋊C4—174no—
1287C22⋊C4—174no—
1288C22⋊C4—174no—
1289C22⋊C4—174no—
1290C22⋊C4—174no—
1291C22⋊C4—174no—
1292C22⋊C4—174no—
1293C22⋊C4—174no—
1294C22⋊C4—174no—
1295C22⋊C4—342no—
1296C22⋊C4—342no—
1297C22⋊C4—342no—
1298C22⋊C4—342no—
1299C22⋊C4—342no—
1300C22⋊C4—342no—
1301C22⋊C4—342no—
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⋊C4C2×C4×D1714yes—
1322C22⋊C4C2×C4×D1714yes—
1323C22⋊C4C2×C4×D1714yes—
1324C22⋊C4C2×C4×D1714yes—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—41no—
1329C42—174no—
1330C42—342no—
1331C42—342no—
1332C42—342no—
1333C42—342no—
1334C42—342no—
1335C42—681no—
1336C42—681no—
1337C42—681no—
1338C42—681no—
1339C42—681no—
1340C42—681no—
1341C42—681no—
1342C42—681no—
1343C42—681no—
1344C42—681no—
1345C42—681no—
1346C42C2×C4×D1714yes—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—172no—
1360C23—172no—
1361C23—172no—
1362C23—341no—
1363C23—341no—
1364C23—341no—
1365C23—341no—
1366C23—341no—
1367C23—341no—
1368C23—341no—
1369C23—341no—
1370C23—341no—
1371C23—341no—
1372C23—341no—
1373C23—341no—
1374C23—341no—
1375C23—341no—
1376C23—341no—
1377C23—341no—
1378C23—341no—
1379C23—341no—
1380C23—684no—
1381C23—684no—
1382C23—684no—
1383C23—1362no—
1384C23—1362no—
1385C23—1362no—
1386C23—1362no—
1387C23C22×C4×D1712yes—
1388C23C22×C4×D1712yes—
1389C23C24×D1711yescharacteristic
1390Q8—44no—
1391D4—44no—
1392D4—684no—
1393D4—684no—
1394D4—684no—
1395D4—684no—
1396D4—684no—
1397D4—684no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—82no—
1433C2×C4—82no—
1434C2×C4—172no—
1435C2×C4—172no—
1436C2×C4—172no—
1437C2×C4—172no—
1438C2×C4—172no—
1439C2×C4—172no—
1440C2×C4—172no—
1441C2×C4—341no—
1442C2×C4—341no—
1443C2×C4—341no—
1444C2×C4—341no—
1445C2×C4—341no—
1446C2×C4—341no—
1447C2×C4—341no—
1448C2×C4—341no—
1449C2×C4—341no—
1450C2×C4—341no—
1451C2×C4—341no—
1452C2×C4—341no—
1453C2×C4—341no—
1454C2×C4—341no—
1455C2×C4—341no—
1456C2×C4—341no—
1457C2×C4—341no—
1458C2×C4—341no—
1459C2×C4—341no—
1460C2×C4—341no—
1461C2×C4—341no—
1462C2×C4—341no—
1463C2×C4—341no—
1464C2×C4—341no—
1465C2×C4—341no—
1466C2×C4—341no—
1467C2×C4—341no—
1468C2×C4—341no—
1469C2×C4—341no—
1470C2×C4—341no—
1471C2×C4—341no—
1472C2×C4—341no—
1473C2×C4—684no—
1474C2×C4—684no—
1475C2×C4—684no—
1476C2×C4—684no—
1477C2×C4—1362no—
1478C2×C4—1362no—
1479C2×C4—1362no—
1480C2×C4—1362no—
1481C2×C4—1362no—
1482C2×C4—1362no—
1483C2×C4C22×C4×D1712yes—
1484C2×C4C22×C4×D1712yes—
1485C2×C4C22×C4×D1712yes—
1486C2×C4C22×C4×D1712yes—
1487C2×C4C22×C4×D1712yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—342no—
1503C22—342no—
1504C22—342no—
1505C22—342no—
1506C22—342no—
1507C22—342no—
1508C22—342no—
1509C22—342no—
1510C22—342no—
1511C22—681no—
1512C22—681no—
1513C22—681no—
1514C22—681no—
1515C22—681no—
1516C22—681no—
1517C22—681no—
1518C22—681no—
1519C22—681no—
1520C22—681no—
1521C22—681no—
1522C22—681no—
1523C22—1368no—
1524C22C23×C4×D1711yescharacteristic
1525C22H(5,𝔽2)×D1711yescharacteristic
1526C22H(5,𝔽2)×D1711yescharacteristic
1527C22#1176364411yescharacteristic
1528C22#1176364511yescharacteristic
1529C22#1176364511yescharacteristic
1530C22#1176364611yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—342no—
1545C4—342no—
1546C4—342no—
1547C4—342no—
1548C4—342no—
1549C4—342no—
1550C4—342no—
1551C4—681no—
1552C4—681no—
1553C4—681no—
1554C4—681no—
1555C4—681no—
1556C4—681no—
1557C2—42no—
1558C2—42no—
1559C2—682no—
1560C2—682no—
1561C2—682no—
1562C2#1454198311yescharacteristic
1563C2#1454198811yescharacteristic
1564C2#1454199011yescharacteristic
1565C2#1454313211yescharacteristic
1566C2#1454314911yescharacteristic
1567C2#1454332511yescharacteristic
1568C2#1454345911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2337C2
socle, cosocleC23×C17C25
prime radicalC2×#11763393C2
hypercenter#2337D17
hypocenterC17#34446
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2337

Complements

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

NH ≅ G/Ntype
2. #14531972C2semidirect
3. #14531940C2semidirect
4. #14531930C2semidirect
5. #14531924C2semidirect
6. #14531912C2semidirect
7. #14531901C2semidirect
8. #14531828C2semidirect
9. #14531823C2semidirect
10. #14531817C2semidirect
11. #14531777C2semidirect
12. #14531774C2semidirect
13. #14531760C2semidirect
14. #14531730C2semidirect
15. #14531718C2semidirect
16. #14531628C2semidirect
17. #14531627C2semidirect
18. #14531596C2semidirect
19. #14531559C2semidirect
20. #14531539C2semidirect
21. #14531498C2semidirect
22. #14531485C2semidirect
23. #14531474C2semidirect
24. #14531469C2semidirect
25. #14531447C2semidirect
26. #14531440C2semidirect
27. #14531415C2semidirect
28. #14531332C2semidirect
29. #124×Dic17C2semidirect
30. #14531245C2semidirect
31. C17×#2337C2semidirect
32. #11763393C4semidirect
44. C2×Q8×Dic17C22semidirect
51. C2×#10587567C22semidirect
54. C2×#10587558C22semidirect
55. C2×#10587563C22semidirect
59. #11762716C22semidirect
68. #11762709C22semidirect
69. #11762707C22semidirect
70. #11762706C22semidirect
71. #11762706C22semidirect
72. #11762705C22semidirect
73. #11762705C22semidirect
74. #11762704C22semidirect
78. #11762702C22semidirect
79. #11762702C22semidirect
89. #11762699C22semidirect
97. #11762698C22semidirect
98. #11762698C22semidirect
99. #11762698C22semidirect
103. #11762696C22semidirect
104. #11762694C22semidirect
105. #11762693C22semidirect
106. #11762692C22semidirect
107. #11762692C22semidirect
108. #11762692C22semidirect
109. #11762691C22semidirect
110. #11762691C22semidirect
111. #11762691C22semidirect
112. #11762691C22semidirect
113. #11762690C22semidirect
114. #11762690C22semidirect
116. #11762688C22semidirect
126. #11762685C22semidirect
129. #11762683C22semidirect
130. #11762683C22semidirect
131. #11762683C22semidirect
137. #11762678C22semidirect
138. #11762676C22semidirect
139. #11762675C22semidirect
143. #11762667C22semidirect
144. #11762667C22semidirect
148. C4⋊C4×Dic17C22semidirect
149. C4×#63225C22semidirect
150. C4×#63225C22semidirect
151. #11762660C22semidirect
152. #11762660C22semidirect
153. #11762660C22semidirect
154. #11762660C22semidirect
158. C22⋊C4×Dic17C22semidirect
159. C22⋊C4×Dic17C22semidirect
162. C4×#63227C22semidirect
163. C4×#63227C22semidirect
168. #11762656C22semidirect
169. #11762655C22semidirect
170. C2×#10587502C22semidirect
171. #95×D17C22semidirect
172. C42×Dic17C22semidirect
174. C17×#391C22semidirect
175. C17×#391C22semidirect
178. C17×#388C22semidirect
179. C17×#388C22semidirect
183. C17×#385C22semidirect
184. C17×#383C22semidirect
185. C4×C4⋊C4×C17C22semidirect
187. C4×C22⋊C4×C17C22semidirect
209. C17×#124C2×C4semidirect
237. #10587633C2×C4semidirect
238. #10587632C2×C4semidirect
240. #10587625C2×C4semidirect
241. #10587623C2×C4semidirect
314. #10587572C2×C4semidirect
315. #10587570C2×C4semidirect
316. #10587570C2×C4semidirect
317. #10587569C2×C4semidirect
318. #10587568C2×C4semidirect
320. #10587567C2×C4semidirect
322. C22⋊C4×D17C2×C4semidirect
323. #10587565C2×C4semidirect
325. #10587562C2×C4semidirect
326. C4×D68C2×C4semidirect
722. #2337D17semidirect
833. #391C2×D17semidirect
834. #391C2×D17semidirect
880. #388C2×D17semidirect
881. #388C2×D17semidirect
919. #385C2×D17semidirect
922. #383C2×D17semidirect
939. C4×C4⋊C4C2×D17semidirect
955. C4×C22⋊C4C2×D17semidirect
996. #124C4×D17semidirect
1154. C17#34446semidirect

Maximal subgroups

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

subgroupindex
C2×#117633932
#145319722
#145319402
#145319302
#145319242
#145319122
#145319012
#145318282
#145318232
#145318172
#145317772
#145317742
#145317602
#145317302
#145317182
#145316282
#145316272
#145315962
#145315592
#145315392
#145314982
#145314852
#145314742
#145314692
#145314472
#145314402
#145314152
#145313322
#124×Dic172
#145312452
C17×#23372
#3444617