Finite Group Databasebeta

← #17194574

Subgroups — #17194574

Order 4352.

4982 conjugacy classes of subgroups.

The subgroup lattice has 2094 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#120×D17C211yesmaximal, characteristic
2C2×#11763281C211yesmaximal, characteristic, complemented
3C22×C22⋊C4×D17C211yesmaximal, characteristic, complemented
4#14531768C211yesmaximal, characteristic, complemented
5#14531766C211yesmaximal, characteristic, complemented
6#14531764C211yesmaximal, characteristic, complemented
7#14531763C211yesmaximal, characteristic, complemented
8#14531763C211yesmaximal, characteristic, complemented
9#14531761C211yesmaximal, characteristic, complemented
10#14531760C211yesmaximal, characteristic, complemented
11#14531632C211yesmaximal, characteristic, complemented
12#14531631C211yesmaximal, characteristic, complemented
13#14531628C211yesmaximal, characteristic, complemented
14#14531627C211yesmaximal, characteristic, complemented
15#14531605C211yesmaximal, characteristic, complemented
16#14531602C211yesmaximal, characteristic, complemented
17#14531602C211yesmaximal, characteristic, complemented
18D4×#63227C211yesmaximal, characteristic, complemented
19#14531446C211yesmaximal, characteristic, complemented
20#14531443C211yesmaximal, characteristic, complemented
21#14531440C211yesmaximal, characteristic, complemented
22#14531437C211yesmaximal, characteristic, complemented
23#14531395C211yesmaximal, characteristic, complemented
24#14531358C211yesmaximal, characteristic, complemented
25#14531289C211yesmaximal, characteristic, complemented
26C4×#10587568C211yesmaximal, characteristic, complemented
27#14531285C211yesmaximal, characteristic, complemented
28C4×#10587623C211yesmaximal, characteristic, complemented
29C2×#11762664C211yesmaximal, characteristic, complemented
30#14531136C211yesmaximal, characteristic, complemented
31C17×#2358C211yesmaximal, characteristic, complemented
32C25×D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C22×D4×D17C2211yescharacteristic
35C22×D4×D17C2211yescharacteristic
36C23×C4×D17C2211yescharacteristic, complemented
37C23×C4×D17C2211yescharacteristic, complemented
38C2×#10587568C2211yescharacteristic
39C2×#10587568C2211yescharacteristic
40C2×#10587568C2211yescharacteristic
41C2×#10587639C2211yescharacteristic
42C2×#10587623C2211yescharacteristic
43C2×#10587623C2211yescharacteristic
44C2×#10587623C2211yescharacteristic
45#120×D17C4116yescomplemented
46#11763281—28no—
47C2×C4×D68C2211yescharacteristic, complemented
48C2×C4×D68C2211yescharacteristic, complemented
49C2×D4×Dic17C2211yescharacteristic, complemented
50C2×D4×Dic17C2211yescharacteristic, complemented
51C2×#10587579C2211yescharacteristic, complemented
52C2×#10587579C2211yescharacteristic, complemented
53C2×C4×C22⋊D17C2211yescharacteristic, complemented
54C2×C4×C22⋊D17C2211yescharacteristic, complemented
55C2×C4×C22⋊D17C2211yescharacteristic, complemented
56C2×C4×C22⋊D17C2211yescharacteristic, complemented
57C2×#10587567C2211yescharacteristic, complemented
58C2×#10587567C2211yescharacteristic, complemented
59C2×#10587567C2211yescharacteristic, complemented
60C2×#10587567C2211yescharacteristic, complemented
61C2×#10587578C2211yescharacteristic, complemented
62C2×#10587558C2211yescharacteristic, complemented
63C22×C22⋊Dic17C2211yescharacteristic, complemented
64C22×C22⋊Dic17C2211yescharacteristic, complemented
65C22×#63227C2211yescharacteristic
66C22×#63227C2211yescharacteristic
67C22×#63227C2211yescharacteristic
68C22×#63227C2211yescharacteristic
69C22×#63227C2211yescharacteristic, complemented
70C22×#63227C2211yescharacteristic, complemented
71C22×#63227C2211yescharacteristic, complemented
72C2×C22⋊C4×D17—28no—
73C2×C22⋊C4×D17C2211yescharacteristic
74C2×C22⋊C4×D17C2211yescharacteristic
75C2×C22⋊C4×D17C2211yescharacteristic
76C2×C22⋊C4×D17C2211yescharacteristic
77C2×C22⋊C4×D17C2211yescharacteristic
78C2×C22⋊C4×D17C2211yescharacteristic
79C2×C22⋊C4×D17C2211yescharacteristic
80C2×C22⋊C4×D17C2211yescharacteristic, complemented
81C2×C22⋊C4×D17C2211yescharacteristic, complemented
82C2×C22⋊C4×D17C2211yescharacteristic, complemented
83C2×C22⋊C4×D17C2211yescharacteristic, complemented
84C2×C22⋊C4×D17C2211yescharacteristic, complemented
85#11762712C2211yescharacteristic, complemented
86#11762711C2211yescharacteristic, complemented
87#11762710C2211yescharacteristic, complemented
88#11762709C2211yescharacteristic, complemented
89#11762709C2211yescharacteristic, complemented
90#11762709C2211yescharacteristic, complemented
91#11762709C2211yescharacteristic, complemented
92#11762703C2211yescharacteristic, complemented
93#11762703C2211yescharacteristic, complemented
94#11762702C2211yescharacteristic, complemented
95#11762702C2211yescharacteristic, complemented
96#11762701C2211yescharacteristic, complemented
97#11762701C2211yescharacteristic, complemented
98#11762700C2211yescharacteristic, complemented
99#11762700C2211yescharacteristic, complemented
100#11762699C2211yescharacteristic, complemented
101#11762699C2211yescharacteristic, complemented
102#11762698C2211yescharacteristic, complemented
103#11762698C2211yescharacteristic, complemented
104#11762697C2211yescharacteristic, complemented
105#11762697C2211yescharacteristic, complemented
106#11762689C2211yescharacteristic, complemented
107#11762689C2211yescharacteristic, complemented
108#11762689C2211yescharacteristic, complemented
109#11762688C2211yescharacteristic, complemented
110#11762688C2211yescharacteristic, complemented
111#11762688C2211yescharacteristic, complemented
112#11762687C2211yescharacteristic, complemented
113#11762687C2211yescharacteristic, complemented
114#11762687C2211yescharacteristic, complemented
115#11762687C2211yescharacteristic, complemented
116#11762687C2211yescharacteristic, complemented
117#11762687C2211yescharacteristic, complemented
118#11762686C2211yescharacteristic, complemented
119#11762686C2211yescharacteristic, complemented
120#11762686C2211yescharacteristic, complemented
121#11762685C2211yescharacteristic, complemented
122#11762685C2211yescharacteristic, complemented
123#11762685C2211yescharacteristic, complemented
124#11762685C2211yescharacteristic, complemented
125#11762685C2211yescharacteristic, complemented
126#11762685C2211yescharacteristic, complemented
127#11762684C2211yescharacteristic, complemented
128#11762684C2211yescharacteristic, complemented
129#11762683C2211yescharacteristic, complemented
130#11762683C2211yescharacteristic, complemented
131#11762683C2211yescharacteristic, complemented
132#11762683C2211yescharacteristic, complemented
133#11762682C2211yescharacteristic, complemented
134#11762682C2211yescharacteristic, complemented
135#11762681C2211yescharacteristic, complemented
136#11762681C2211yescharacteristic, complemented
137#11762680C2211yescharacteristic, complemented
138#11762680C2211yescharacteristic, complemented
139#11762680C2211yescharacteristic, complemented
140#11762680C2211yescharacteristic, complemented
141#11762671C2211yescharacteristic, complemented
142#11762671C2211yescharacteristic, complemented
143#11762668C2211yescharacteristic, complemented
144#11762668C2211yescharacteristic, complemented
145#11762666C2211yescharacteristic, complemented
146#11762666C2211yescharacteristic, complemented
147#11762664C2211yescharacteristic
148#11762664C2211yescharacteristic
149#11762664C2211yescharacteristic
150#11762664C2211yescharacteristic
151#11762664C2211yescharacteristic, complemented
152#11762664C2211yescharacteristic, complemented
153#11762664C2211yescharacteristic, complemented
154#11762664C2211yescharacteristic, complemented
155#11762664C2211yescharacteristic, complemented
156#11762664C2211yescharacteristic, complemented
157C22⋊C4×Dic17C2211yescharacteristic, complemented
158C22⋊C4×Dic17C2211yescharacteristic, complemented
159C22⋊C4×Dic17C2211yescharacteristic, complemented
160C22⋊C4×Dic17C2211yescharacteristic, complemented
161C4×#63227C2211yescharacteristic, complemented
162C4×#63227C2211yescharacteristic, complemented
163C4×#63227C2211yescharacteristic, complemented
164C4×#63227C2211yescharacteristic, complemented
165C4×#63227C2211yescharacteristic, complemented
166C4×#63227C2211yescharacteristic, complemented
167C4×C22⋊Dic17C2211yescharacteristic, complemented
168C4×C22⋊Dic17C2211yescharacteristic, complemented
169#11762656C2211yescharacteristic, complemented
170#11762656C2211yescharacteristic, complemented
171#11762656C2211yescharacteristic, complemented
172#11762656C2211yescharacteristic, complemented
173#11762656C2211yescharacteristic, complemented
174#11762656C2211yescharacteristic, complemented
175C2×C17×#120C2211yescharacteristic
176C2×C4×D4×C17C2211yescharacteristic, complemented
177C2×C4×D4×C17C2211yescharacteristic, complemented
178C22×C22⋊C4×C17C2211yescharacteristic, complemented
179C22×C22⋊C4×C17C2211yescharacteristic, complemented
180C17×#390C2211yescharacteristic, complemented
181C17×#388C2211yescharacteristic, complemented
182C17×#388C2211yescharacteristic, complemented
183C17×#386C2211yescharacteristic, complemented
184C17×#386C2211yescharacteristic, complemented
185C17×#386C2211yescharacteristic, complemented
186C17×#385C2211yescharacteristic, complemented
187C17×#385C2211yescharacteristic, complemented
188C4×C22⋊C4×C17C2211yescharacteristic, complemented
189C4×C22⋊C4×C17C2211yescharacteristic, complemented
190C25×C17C2311yescharacteristic
191C24×D17—24no—
192C24×D17—24no—
193C24×D17—42no—
194C24×D17—42no—
195C24×D17—42no—
196C24×D17—42no—
197C24×D17C2×C418yescomplemented
198C24×D17C2311yescharacteristic
199C24×D17C2311yescharacteristic
200C24×D17C2311yescharacteristic
201C24×D17C2311yescharacteristic
202C24×D17C2311yescharacteristic
203C24×D17C2311yescharacteristic
204C24×D17C2311yescharacteristic
205C22×D4×C17C2311yescharacteristic
206C22×D4×C17C2311yescharacteristic
207C22×D4×C17C2311yescharacteristic
208C23×C4×C17C2311yescharacteristic
209C23×C4×C17C2311yescharacteristic
210C23×C4×C17C2311yescharacteristic
211C23×C4×C17C2311yescharacteristic
212C23×C4×C17C2311yescharacteristic, complemented
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C22×C22⋊D17C2311yescharacteristic
216C22×C22⋊D17C2311yescharacteristic
217C22×C22⋊D17C2311yescharacteristic
218C22×C22⋊D17C2311yescharacteristic
219C23×Dic17C2311yescharacteristic
220C23×Dic17C2311yescharacteristic
221C23×Dic17C2311yescharacteristic
222C23×Dic17C2311yescharacteristic
223C23×Dic17C2311yescharacteristic, complemented
224C2×D4×D17—24no—
225C2×D4×D17—24no—
226C2×D4×D17—42no—
227C2×D4×D17—42no—
228C2×D4×D17—42no—
229C2×D4×D17—42no—
230C2×D4×D17C2×C418yescomplemented
231C2×D4×D17C2×C418yescomplemented
232C2×D4×D17C2×C418yescomplemented
233C22×D68C2311yescharacteristic
234C22×D68C2311yescharacteristic
235C22×D68C2311yescharacteristic
236C22×C4×D17—24no—
237C22×C4×D17—24no—
238C22×C4×D17—42no—
239C22×C4×D17—42no—
240C22×C4×D17—42no—
241C22×C4×D17—42no—
242C22×C4×D17C2311yescharacteristic
243C22×C4×D17C2311yescharacteristic
244C22×C4×D17C2311yescharacteristic
245C22×C4×D17C2311yescharacteristic
246C22×C4×D17C2311yescharacteristic
247C22×C4×D17C2311yescharacteristic
248C22×C4×D17C2311yescharacteristic
249C22×C4×D17C2311yescharacteristic
250C22×C4×D17C2311yescharacteristic
251C22×C4×D17C2311yescharacteristic
252C22×C4×D17C2311yescharacteristic
253C22×C4×D17C2311yescharacteristic, complemented
254C22×C4×D17C2311yescharacteristic, complemented
255C17×#120C2×C418yescomplemented
256C4×D4×C17—24no—
257C4×D4×C17—42no—
258C2×C4⋊C4×C17C2311yescharacteristic, complemented
259C2×C4⋊C4×C17C2311yescharacteristic, complemented
260C2×C4⋊C4×C17C2311yescharacteristic, complemented
261C2×C22⋊C4×C17—24no—
262C2×C22⋊C4×C17—42no—
263C2×C22⋊C4×C17C2311yescharacteristic
264C2×C22⋊C4×C17C2311yescharacteristic
265C2×C22⋊C4×C17C2311yescharacteristic
266C2×C22⋊C4×C17C2311yescharacteristic
267C2×C22⋊C4×C17C2311yescharacteristic
268C2×C22⋊C4×C17C2311yescharacteristic
269C2×C22⋊C4×C17C2311yescharacteristic
270C2×C22⋊C4×C17C2311yescharacteristic
271C2×C22⋊C4×C17C2311yescharacteristic
272C2×C22⋊C4×C17C2311yescharacteristic
273C2×C22⋊C4×C17C2311yescharacteristic
274C2×C22⋊C4×C17C2311yescharacteristic, complemented
275C2×C22⋊C4×C17C2311yescharacteristic, complemented
276C2×C22⋊C4×C17C2311yescharacteristic, complemented
277C2×C42×C17C2311yescharacteristic, complemented
278C2×C42×C17C2311yescharacteristic, complemented
279C2×C42×C17C2311yescharacteristic, complemented
280#10587639C2×C418yescomplemented
281C2×C22⋊Dic17—24no—
282C2×C22⋊Dic17—42no—
283C2×C22⋊Dic17C2311yescharacteristic
284C2×C22⋊Dic17C2311yescharacteristic
285C2×C22⋊Dic17C2311yescharacteristic
286C2×C22⋊Dic17C2311yescharacteristic
287C2×C22⋊Dic17C2311yescharacteristic
288C2×C22⋊Dic17C2311yescharacteristic
289C2×C22⋊Dic17C2311yescharacteristic
290C2×C22⋊Dic17C2311yescharacteristic
291C2×C22⋊Dic17C2311yescharacteristic
292C2×C22⋊Dic17C2311yescharacteristic
293C2×C22⋊Dic17C2311yescharacteristic
294C2×C22⋊Dic17C2311yescharacteristic, complemented
295C2×C22⋊Dic17C2311yescharacteristic, complemented
296C2×C22⋊Dic17C2311yescharacteristic, complemented
297#10587623C2×C418yescomplemented
298#10587623C2×C418yescomplemented
299#10587623C2×C418yescomplemented
300D4×Dic17—24no—
301D4×Dic17—42no—
302C4×C22⋊D17—24no—
303C4×C22⋊D17—24no—
304C4×C22⋊D17—42no—
305C4×C22⋊D17—42no—
306C2×#63227—24no—
307C2×#63227—24no—
308C2×#63227—24no—
309C2×#63227—24no—
310C2×#63227—24no—
311C2×#63227—42no—
312C2×#63227—42no—
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
316C2×#63227C2311yescharacteristic
317C2×#63227C2311yescharacteristic
318C2×#63227C2311yescharacteristic
319C2×#63227C2311yescharacteristic
320C2×#63227C2311yescharacteristic
321C2×#63227C2311yescharacteristic
322C2×#63227C2311yescharacteristic
323C2×#63227C2311yescharacteristic
324C2×#63227C2311yescharacteristic
325C2×#63227C2311yescharacteristic
326C2×#63227C2311yescharacteristic
327C2×#63227C2311yescharacteristic
328C2×#63227C2311yescharacteristic
329C2×#63227C2311yescharacteristic
330C2×#63227C2311yescharacteristic
331C2×#63227C2311yescharacteristic
332C2×#63227C2311yescharacteristic
333C2×#63227C2311yescharacteristic
334C2×#63227C2311yescharacteristic
335C2×#63227C2311yescharacteristic
336C2×#63227C2311yescharacteristic
337C2×#63227C2311yescharacteristic
338C2×#63227C2311yescharacteristic
339C2×#63227C2311yescharacteristic
340C2×#63227C2311yescharacteristic
341C2×#63227C2311yescharacteristic
342C2×#63227C2311yescharacteristic
343C2×#63227C2311yescharacteristic, complemented
344C2×#63227C2311yescharacteristic, complemented
345C2×#63227C2311yescharacteristic, complemented
346C2×#63227C2311yescharacteristic, complemented
347C2×#63227C2311yescharacteristic, complemented
348C2×#63227C2311yescharacteristic, complemented
349C2×C4⋊Dic17C2311yescharacteristic, complemented
350C2×C4⋊Dic17C2311yescharacteristic, complemented
351C2×C4⋊Dic17C2311yescharacteristic, complemented
352C2×#63225C2311yescharacteristic, complemented
353C2×#63225C2311yescharacteristic, complemented
354C2×#63225C2311yescharacteristic, complemented
355C2×#63225C2311yescharacteristic, complemented
356C2×#63225C2311yescharacteristic, complemented
357C2×#63225C2311yescharacteristic, complemented
358C2×C4×Dic17C2311yescharacteristic, complemented
359C2×C4×Dic17C2311yescharacteristic, complemented
360C2×C4×Dic17C2311yescharacteristic, complemented
361C2×C4×Dic17C2311yescharacteristic, complemented
362C2×C4×Dic17C2311yescharacteristic, complemented
363C2×C4×Dic17C2311yescharacteristic, complemented
364C2×C4×Dic17C2311yescharacteristic, complemented
365C2×C4×Dic17C2311yescharacteristic, complemented
366C2×C4×Dic17C2311yescharacteristic, complemented
367#10587579—24no—
368#10587579—42no—
369#10587578—24no—
370#10587568C2×C418yescomplemented
371#10587568C2×C418yescomplemented
372#10587568C2×C418yescomplemented
373#10587567—24no—
374#10587567—24no—
375#10587567—42no—
376#10587567—42no—
377C22⋊C4×D17—24no—
378C22⋊C4×D17—24no—
379C22⋊C4×D17—24no—
380C22⋊C4×D17—24no—
381C22⋊C4×D17—24no—
382C22⋊C4×D17—24no—
383C22⋊C4×D17—24no—
384C22⋊C4×D17—24no—
385C22⋊C4×D17C2×C418yescomplemented
386C22⋊C4×D17C2×C418yescomplemented
387C22⋊C4×D17C2×C418yescomplemented
388C22⋊C4×D17D418yescomplemented
389C4×D68—24no—
390C4×D68—42no—
391#10587558—24no—
392C17×#95C2311yescharacteristic, complemented
393C17×#95C2311yescharacteristic, complemented
394C17×#95C2311yescharacteristic, complemented
395C17×#95C2311yescharacteristic, complemented
396C17×#95C2311yescharacteristic, complemented
397C17×#95C2311yescharacteristic, complemented
398#10587502C2311yescharacteristic, complemented
399#10587502C2311yescharacteristic, complemented
400#10587502C2311yescharacteristic, complemented
401#10587502C2311yescharacteristic, complemented
402#10587502C2311yescharacteristic, complemented
403#10587502C2311yescharacteristic, complemented
404#10587502C2311yescharacteristic, complemented
405#10587502C2311yescharacteristic, complemented
406#10587502C2311yescharacteristic, complemented
407#10587502C2311yescharacteristic, complemented
408#10587502C2311yescharacteristic, complemented
409#10587502C2311yescharacteristic, complemented
410#10587502C2311yescharacteristic, complemented
411#10587502C2311yescharacteristic, complemented
412#10587502C2311yescharacteristic, complemented
413#10587502C2311yescharacteristic, complemented
414#10587502C2311yescharacteristic, complemented
415#10587502C2311yescharacteristic, complemented
416C24×C17—22no—
417C24×C17—22no—
418C24×C17—22no—
419C24×C17—22no—
420C24×C17—41no—
421C24×C17—41no—
422C24×C17C22×C414yes—
423C24×C17C2411yescharacteristic
424C24×C17C2411yescharacteristic
425C24×C17C2411yescharacteristic
426C24×C17C2411yescharacteristic
427C23×D17—22no—
428C23×D17—22no—
429C23×D17—22no—
430C23×D17—22no—
431C23×D17—22no—
432C23×D17—22no—
433C23×D17—22no—
434C23×D17—22no—
435C23×D17—22no—
436C23×D17—22no—
437C23×D17—232no—
438C23×D17—22no—
439C23×D17—22no—
440C23×D17—22no—
441C23×D17—22no—
442C23×D17—22no—
443C23×D17—22no—
444C23×D17—22no—
445C23×D17—22no—
446C23×D17—22no—
447C23×D17—22no—
448C23×D17—22no—
449C23×D17—22no—
450C23×D17—416no—
451C23×D17—416no—
452C23×D17—41no—
453C23×D17—41no—
454C23×D17—41no—
455C23×D17—41no—
456C23×D17—41no—
457C23×D17—41no—
458C23×D17—41no—
459C23×D17—41no—
460C23×D17—41no—
461C23×D17—41no—
462C23×D17—41no—
463C23×D17—41no—
464C23×D17—41no—
465C23×D17—41no—
466C23×D17—41no—
467C23×D17—41no—
468C23×D17—41no—
469C23×D17—41no—
470C23×D17—416no—
471C23×D17—416no—
472C23×D17—416no—
473C23×D17—416no—
474C23×D17C22×C414yes—
475C23×D17C22×C414yes—
476C23×D17C22×C414yes—
477C23×D17C22×C414yes—
478C23×D17C22×C414yes—
479C23×D17C22×C414yes—
480C23×D17C22×C414yescomplemented
481C23×D17C2×D414yes—
482C23×D17#4114yes—
483C23×D17C2411yescharacteristic
484C23×D17C2411yescharacteristic
485C23×D17C2411yescharacteristic
486C23×D17C2411yescharacteristic
487C23×D17C2411yescharacteristic
488C2×D4×C17—22no—
489C2×D4×C17—22no—
490C2×D4×C17—22no—
491C2×D4×C17—22no—
492C2×D4×C17—41no—
493C2×D4×C17—41no—
494C2×D4×C17C22×C414yes—
495C2×D4×C17C22×C414yescomplemented
496C2×D4×C17C22×C414yescomplemented
497C22×C4×C17—22no—
498C22×C4×C17—22no—
499C22×C4×C17—22no—
500C22×C4×C17—22no—
501C22×C4×C17—22no—
502C22×C4×C17—22no—
503C22×C4×C17—22no—
504C22×C4×C17—41no—
505C22×C4×C17—41no—
506C22×C4×C17—41no—
507C22×C4×C17—41no—
508C22×C4×C17—41no—
509C22×C4×C17—41no—
510C22×C4×C17—41no—
511C22×C4×C17—41no—
512C22×C4×C17C2411yescharacteristic
513C22×C4×C17C2411yescharacteristic
514C22×C4×C17C2411yescharacteristic
515C22×C4×C17C2411yescharacteristic
516C22×C4×C17C2411yescharacteristic
517C22×C4×C17C2411yescharacteristic
518C22×C4×C17C2411yescharacteristic
519C22×C4×C17C2411yescharacteristic
520C22×C4×C17C2411yescharacteristic
521C22×C4×C17C2411yescharacteristic
522C22×C4×C17C2411yescharacteristic
523C2×C22⋊D17—22no—
524C2×C22⋊D17—22no—
525C2×C22⋊D17—22no—
526C2×C22⋊D17—22no—
527C2×C22⋊D17—22no—
528C2×C22⋊D17—22no—
529C2×C22⋊D17—22no—
530C2×C22⋊D17—22no—
531C2×C22⋊D17—41no—
532C2×C22⋊D17—41no—
533C2×C22⋊D17—41no—
534C2×C22⋊D17—41no—
535C2×C22⋊D17C22×C414yes—
536C2×C22⋊D17C22×C414yes—
537C2×C22⋊D17C22×C414yes—
538C2×C22⋊D17C22×C414yescomplemented
539C2×C22⋊D17C22×C414yescomplemented
540C2×C22⋊D17C22×C414yescomplemented
541C22×Dic17—22no—
542C22×Dic17—22no—
543C22×Dic17—22no—
544C22×Dic17—22no—
545C22×Dic17—22no—
546C22×Dic17—22no—
547C22×Dic17—22no—
548C22×Dic17—41no—
549C22×Dic17—41no—
550C22×Dic17—41no—
551C22×Dic17—41no—
552C22×Dic17—41no—
553C22×Dic17—41no—
554C22×Dic17—41no—
555C22×Dic17—41no—
556C22×Dic17C2411yescharacteristic
557C22×Dic17C2411yescharacteristic
558C22×Dic17C2411yescharacteristic
559C22×Dic17C2411yescharacteristic
560C22×Dic17C2411yescharacteristic
561C22×Dic17C2411yescharacteristic
562C22×Dic17C2411yescharacteristic
563C22×Dic17C2411yescharacteristic
564C22×Dic17C2411yescharacteristic
565C22×Dic17C2411yescharacteristic
566C22×Dic17C2411yescharacteristic
567D4×D17—232no—
568D4×D17—416no—
569D4×D17—416no—
570C2×D68—22no—
571C2×D68—22no—
572C2×D68—22no—
573C2×D68—22no—
574C2×D68—41no—
575C2×D68—41no—
576C2×D68C22×C414yes—
577C2×D68C22×C414yes—
578C2×D68C22×C414yescomplemented
579C2×C4×D17—22no—
580C2×C4×D17—22no—
581C2×C4×D17—22no—
582C2×C4×D17—22no—
583C2×C4×D17—22no—
584C2×C4×D17—22no—
585C2×C4×D17—22no—
586C2×C4×D17—22no—
587C2×C4×D17—22no—
588C2×C4×D17—22no—
589C2×C4×D17—22no—
590C2×C4×D17—22no—
591C2×C4×D17—22no—
592C2×C4×D17—22no—
593C2×C4×D17—41no—
594C2×C4×D17—41no—
595C2×C4×D17—41no—
596C2×C4×D17—41no—
597C2×C4×D17—41no—
598C2×C4×D17—41no—
599C2×C4×D17—41no—
600C2×C4×D17—41no—
601C2×C4×D17—41no—
602C2×C4×D17—41no—
603C2×C4×D17—41no—
604C2×C4×D17—41no—
605C2×C4×D17—41no—
606C2×C4×D17—41no—
607C2×C4×D17—41no—
608C2×C4×D17—41no—
609C2×C4×D17—416no—
610C2×C4×D17—416no—
611C2×C4×D17—41no—
612C2×C4×D17—41no—
613C2×C4×D17—41no—
614C2×C4×D17—41no—
615C2×C4×D17C22×C414yescomplemented
616C2×C4×D17C22×C414yescomplemented
617C2×C4×D17C22×C414yescomplemented
618C2×C4×D17C2×D414yescomplemented
619C2×C4×D17C2×D414yescomplemented
620C4⋊C4×C17—22no—
621C4⋊C4×C17—41no—
622C4⋊C4×C17—41no—
623C22⋊C4×C17—22no—
624C22⋊C4×C17—22no—
625C22⋊C4×C17—22no—
626C22⋊C4×C17—22no—
627C22⋊C4×C17—22no—
628C22⋊C4×C17—22no—
629C22⋊C4×C17—41no—
630C22⋊C4×C17—41no—
631C22⋊C4×C17—41no—
632C22⋊C4×C17—41no—
633C22⋊C4×C17C22×C414yes—
634C22⋊C4×C17C22×C414yescomplemented
635C22⋊C4×C17C22×C414yescomplemented
636C22⋊C4×C17C2×D414yescomplemented
637C42×C17—22no—
638C42×C17—41no—
639C42×C17—41no—
640C22⋊Dic17—22no—
641C22⋊Dic17—22no—
642C22⋊Dic17—22no—
643C22⋊Dic17—22no—
644C22⋊Dic17—22no—
645C22⋊Dic17—22no—
646C22⋊Dic17—41no—
647C22⋊Dic17—41no—
648C22⋊Dic17—41no—
649C22⋊Dic17—41no—
650C22⋊Dic17C22×C414yes—
651C22⋊Dic17C22×C414yescomplemented
652C22⋊Dic17C22×C414yescomplemented
653C22⋊Dic17C2×D414yescomplemented
654#63227—22no—
655#63227—22no—
656#63227—22no—
657#63227—22no—
658#63227—22no—
659#63227—22no—
660#63227—22no—
661#63227—22no—
662#63227—22no—
663#63227—22no—
664#63227—22no—
665#63227—22no—
666#63227—22no—
667#63227—22no—
668#63227—22no—
669#63227—22no—
670#63227—22no—
671#63227—22no—
672#63227—22no—
673#63227—22no—
674#63227—41no—
675#63227—41no—
676#63227—41no—
677#63227—41no—
678#63227—41no—
679#63227—41no—
680#63227—41no—
681#63227—41no—
682#63227C22×C414yes—
683#63227C22×C414yes—
684#63227C22×C414yes—
685#63227C22×C414yes—
686#63227C22×C414yescomplemented
687#63227C22×C414yescomplemented
688#63227C2×D414yes—
689#63227C2×D414yes—
690C4⋊Dic17—22no—
691C4⋊Dic17—41no—
692C4⋊Dic17—41no—
693#63225—22no—
694#63225—22no—
695#63225—41no—
696#63225—41no—
697#63225—41no—
698#63225—41no—
699C4×Dic17—22no—
700C4×Dic17—22no—
701C4×Dic17—22no—
702C4×Dic17—41no—
703C4×Dic17—41no—
704C4×Dic17—41no—
705C4×Dic17—41no—
706C4×Dic17—41no—
707C4×Dic17—41no—
708#34198—171nomaximal, Sylow
709C23×C17—21no—
710C23×C17—21no—
711C23×C17—21no—
712C23×C17—21no—
713C23×C17—21no—
714C23×C17—21no—
715C23×C17—21no—
716C23×C17—21no—
717C23×C17—28no—
718C23×C17—28no—
719C23×C17—21no—
720C23×C17—21no—
721C23×C17—21no—
722C23×C17—21no—
723C23×C17—21no—
724C23×C17—21no—
725C23×C17—21no—
726C23×C17—21no—
727C23×C17—21no—
728C23×C17—21no—
729C23×C17—21no—
730C23×C17—21no—
731C23×C17—44no—
732C23×C17—44no—
733C23×C17—44no—
734C23×C17—44no—
735C23×C17—44no—
736C23×C17C23×C412yes—
737C23×C17C23×C412yes—
738C23×C17C23×C412yes—
739C23×C17C23×C412yes—
740C23×C17C22×D412yes—
741C23×C17C2×#4112yes—
742C23×C17H(5,𝔽2)12yes—
743C23×C17H(5,𝔽2)12yes—
744C23×C17C2511yescharacteristic
745C22×D17—28no—
746C22×D17—28no—
747C22×D17—28no—
748C22×D17—28no—
749C22×D17—28no—
750C22×D17—21no—
751C22×D17—21no—
752C22×D17—21no—
753C22×D17—21no—
754C22×D17—21no—
755C22×D17—21no—
756C22×D17—21no—
757C22×D17—21no—
758C22×D17—21no—
759C22×D17—21no—
760C22×D17—21no—
761C22×D17—21no—
762C22×D17—28no—
763C22×D17—28no—
764C22×D17—28no—
765C22×D17—28no—
766C22×D17—21no—
767C22×D17—21no—
768C22×D17—21no—
769C22×D17—21no—
770C22×D17—21no—
771C22×D17—21no—
772C22×D17—21no—
773C22×D17—21no—
774C22×D17—21no—
775C22×D17—21no—
776C22×D17—21no—
777C22×D17—21no—
778C22×D17—28no—
779C22×D17—28no—
780C22×D17—28no—
781C22×D17—28no—
782C22×D17—28no—
783C22×D17—28no—
784C22×D17—44no—
785C22×D17—44no—
786C22×D17—44no—
787C22×D17—44no—
788C22×D17—44no—
789C22×D17—44no—
790C22×D17—44no—
791C22×D17—44no—
792C22×D17—44no—
793C22×D17—44no—
794C22×D17—44no—
795C22×D17—44no—
796C22×D17—44no—
797C22×D17—44no—
798C22×D17—44no—
799C22×D17—44no—
800C22×D17—44no—
801C22×D17—44no—
802C22×D17—44no—
803C22×D17—44no—
804C22×D17—44no—
805C22×D17—44no—
806C22×D17—44no—
807C22×D17—44no—
808C22×D17—44no—
809C22×D17—4128no—
810C22×D17—44no—
811C22×D17—44no—
812C22×D17—44no—
813C22×D17—44no—
814C22×D17—82no—
815C22×D17—82no—
816C22×D17—82no—
817C22×D17—82no—
818C22×D17C4×D4116yescomplemented
819C22×D17C23×C412yes—
820C22×D17C23×C412yes—
821C22×D17C23×C412yes—
822C22×D17C23×C412yes—
823C22×D17C23×C412yes—
824C22×D17C22×D412yes—
825C22×D17C22×D412yes—
826C22×D17C2×#4112yes—
827C22×D17C2×#4112yes—
828C22×D17H(5,𝔽2)12yes—
829C22×D17H(5,𝔽2)12yes—
830D4×C17—28no—
831D4×C17—28no—
832D4×C17—44no—
833C2×C4×C17—21no—
834C2×C4×C17—21no—
835C2×C4×C17—21no—
836C2×C4×C17—21no—
837C2×C4×C17—21no—
838C2×C4×C17—21no—
839C2×C4×C17—21no—
840C2×C4×C17—21no—
841C2×C4×C17—21no—
842C2×C4×C17—21no—
843C2×C4×C17—21no—
844C2×C4×C17—21no—
845C2×C4×C17—21no—
846C2×C4×C17—21no—
847C2×C4×C17—21no—
848C2×C4×C17—21no—
849C2×C4×C17—21no—
850C2×C4×C17—21no—
851C2×C4×C17—21no—
852C2×C4×C17—21no—
853C2×C4×C17—21no—
854C2×C4×C17—21no—
855C2×C4×C17—21no—
856C2×C4×C17—21no—
857C2×C4×C17—21no—
858C2×C4×C17—21no—
859C2×C4×C17—21no—
860C2×C4×C17—21no—
861C2×C4×C17—44no—
862C2×C4×C17—44no—
863C2×C4×C17—82no—
864C2×C4×C17—82no—
865C2×C4×C17—82no—
866C2×C4×C17C23×C412yes—
867C2×C4×C17C23×C412yes—
868C2×C4×C17C23×C412yes—
869C2×C4×C17C22×D412yes—
870C2×C4×C17C22×D412yes—
871C22⋊D17—28no—
872C22⋊D17—28no—
873C22⋊D17—28no—
874C22⋊D17—28no—
875C22⋊D17—44no—
876C22⋊D17—44no—
877C2×Dic17—21no—
878C2×Dic17—21no—
879C2×Dic17—21no—
880C2×Dic17—21no—
881C2×Dic17—21no—
882C2×Dic17—21no—
883C2×Dic17—21no—
884C2×Dic17—21no—
885C2×Dic17—21no—
886C2×Dic17—21no—
887C2×Dic17—21no—
888C2×Dic17—21no—
889C2×Dic17—21no—
890C2×Dic17—21no—
891C2×Dic17—21no—
892C2×Dic17—21no—
893C2×Dic17—21no—
894C2×Dic17—21no—
895C2×Dic17—21no—
896C2×Dic17—21no—
897C2×Dic17—21no—
898C2×Dic17—21no—
899C2×Dic17—21no—
900C2×Dic17—21no—
901C2×Dic17—21no—
902C2×Dic17—21no—
903C2×Dic17—21no—
904C2×Dic17—21no—
905C2×Dic17—44no—
906C2×Dic17—44no—
907C2×Dic17—82no—
908C2×Dic17—82no—
909C2×Dic17—82no—
910C2×Dic17C23×C412yes—
911C2×Dic17C23×C412yes—
912C2×Dic17C23×C412yes—
913C2×Dic17C22×D412yes—
914C2×Dic17C22×D412yes—
915D68—28no—
916D68—28no—
917D68—44no—
918C4×D17—28no—
919C4×D17—44no—
920C4×D17—44no—
921C4×D17—44no—
922C4×D17—44no—
923C4×D17—44no—
924C4×D17—44no—
925C4×D17—44no—
926C4×D17—44no—
927C4×D17—44no—
928C4×D17—44no—
929C4×D17—82no—
930C4×D17—82no—
931C22×#120—171no—
932C2×#518—171no—
933C23×C22⋊C4—171no—
934#2358—171no—
935#2358—171no—
936#2358—171no—
937#2358—171no—
938#2358—171no—
939#2358—171no—
940#2358—171no—
941#2358D1711yescharacteristic, complemented
942#2342—171no—
943#2342—171no—
944#2342—171no—
945#2342—171no—
946D4×C22⋊C4—171no—
947D4×C22⋊C4—171no—
948D4×C22⋊C4—171no—
949D4×C22⋊C4—171no—
950#2321—171no—
951#2321—171no—
952#2321—171no—
953#2321—171no—
954#2315—171no—
955#2308—171no—
956C4×#120—171no—
957C4×#120—171no—
958C4×#120—171no—
959C4×#120—171no—
960C2×#379—171no—
961#2273—171no—
962C22×C17—22no—
963C22×C17—22no—
964C22×C17—22no—
965C22×C17—22no—
966C22×C17—22no—
967C22×C17—22no—
968C22×C17—22no—
969C22×C17—22no—
970C22×C17—22no—
971C22×C17—22no—
972C22×C17—22no—
973C22×C17—22no—
974C22×C17—22no—
975C22×C17—22no—
976C22×C17—22no—
977C22×C17—22no—
978C22×C17—22no—
979C22×C17—22no—
980C22×C17—416no—
981C22×C17—41no—
982C22×C17—41no—
983C22×C17—41no—
984C22×C17—41no—
985C22×C17—41no—
986C22×C17—41no—
987C22×C17—41no—
988C22×C17—41no—
989C22×C17C2×C4×D414yes—
990C22×C17#51814yescomplemented
991C22×C17C24×C411yescharacteristic
992C22×C17C23×D411yescharacteristic
993C22×C17C22×#4111yescharacteristic
994C22×C17C2×H(5,𝔽2)11yescharacteristic
995C22×C17C2×H(5,𝔽2)11yescharacteristic
996C22×C17C2×H(5,𝔽2)11yescharacteristic
997C22×C17C2×H(5,𝔽2)11yescharacteristic
998C2×D17—232no—
999C2×D17—22no—
1000C2×D17—22no—
1001C2×D17—22no—
1002C2×D17—22no—
1003C2×D17—22no—
1004C2×D17—22no—
1005C2×D17—22no—
1006C2×D17—22no—
1007C2×D17—22no—
1008C2×D17—22no—
1009C2×D17—22no—
1010C2×D17—22no—
1011C2×D17—22no—
1012C2×D17—22no—
1013C2×D17—22no—
1014C2×D17—22no—
1015C2×D17—22no—
1016C2×D17—22no—
1017C2×D17—22no—
1018C2×D17—22no—
1019C2×D17—22no—
1020C2×D17—22no—
1021C2×D17—22no—
1022C2×D17—22no—
1023C2×D17—416no—
1024C2×D17—416no—
1025C2×D17—416no—
1026C2×D17—416no—
1027C2×D17—416no—
1028C2×D17—41no—
1029C2×D17—41no—
1030C2×D17—41no—
1031C2×D17—41no—
1032C2×D17—41no—
1033C2×D17—41no—
1034C2×D17—41no—
1035C2×D17—41no—
1036C2×D17—88no—
1037C2×D17C2×C4×D414yes—
1038C2×D17C2×C4×D414yes—
1039C2×D17#51814yescomplemented
1040C4×C17—22no—
1041C4×C17—22no—
1042C4×C17—22no—
1043C4×C17—22no—
1044C4×C17—22no—
1045C4×C17—41no—
1046C4×C17—41no—
1047C4×C17—41no—
1048C4×C17—41no—
1049C4×C17—41no—
1050C4×C17—41no—
1051Dic17—22no—
1052Dic17—22no—
1053Dic17—22no—
1054Dic17—22no—
1055Dic17—22no—
1056Dic17—41no—
1057Dic17—41no—
1058Dic17—41no—
1059Dic17—41no—
1060Dic17—41no—
1061Dic17—41no—
1062C26—171no—
1063C23×D4—171no—
1064C23×D4—171no—
1065C23×D4—171no—
1066C24×C4—171no—
1067C24×C4—171no—
1068C2×#120—171no—
1069C2×#120—171no—
1070C2×#120—171no—
1071C2×#120—171no—
1072C2×#120—1716no—
1073C2×#120—171no—
1074C2×#120—171no—
1075C2×#120—171no—
1076C2×#120C2×D1711yescharacteristic
1077#518—348no—
1078C2×C4×D4—171no—
1079C2×C4×D4—171no—
1080C2×C4×D4—171no—
1081C2×C4×D4—171no—
1082C2×C4×D4—171no—
1083C2×C4×D4—171no—
1084C2×C4×D4—171no—
1085C2×C4×D4—171no—
1086C2×C4×D4—171no—
1087C2×C4×D4—171no—
1088C2×C4×D4—171no—
1089C2×C4×D4—171no—
1090C2×C4×D4—171no—
1091C2×C4×D4—171no—
1092C2×C4×D4C2×D1711yescharacteristic, complemented
1093C2×C4×D4C2×D1711yescharacteristic, complemented
1094C2×#117—171no—
1095C2×#117—171no—
1096C22×C22⋊C4—171no—
1097C22×C22⋊C4—171no—
1098C22×C22⋊C4—171no—
1099C22×C22⋊C4—171no—
1100C22×C22⋊C4—171no—
1101C22×C22⋊C4—171no—
1102C22×C22⋊C4—171no—
1103C22×C22⋊C4—171no—
1104C22×C22⋊C4—171no—
1105C22×C22⋊C4—171no—
1106C22×C22⋊C4—171no—
1107C22×C22⋊C4—171no—
1108C22×C22⋊C4—171no—
1109C22×C22⋊C4—171no—
1110C22×C22⋊C4—171no—
1111C22×C22⋊C4—171no—
1112C22×C22⋊C4—171no—
1113C22×C22⋊C4—171no—
1114C22×C22⋊C4—171no—
1115C22×C22⋊C4—171no—
1116C22×C22⋊C4—171no—
1117C22×C22⋊C4—348no—
1118C22×C22⋊C4C2×D1711yescharacteristic, complemented
1119C22×C22⋊C4C2×D1711yescharacteristic, complemented
1120#390—171no—
1121#390—171no—
1122#390—171no—
1123#390—171no—
1124#390—171no—
1125#390—171no—
1126#390—171no—
1127#390C2×D1711yescharacteristic, complemented
1128#388—171no—
1129#388—171no—
1130#388—171no—
1131#388—171no—
1132#388—171no—
1133#388—171no—
1134#388—171no—
1135#388—171no—
1136#388—171no—
1137#388—171no—
1138#388—171no—
1139#388—171no—
1140#388—171no—
1141#388—171no—
1142#388C2×D1711yescharacteristic, complemented
1143#388C2×D1711yescharacteristic, complemented
1144#386—171no—
1145#386—171no—
1146#386—171no—
1147#386—171no—
1148#386—171no—
1149#386—171no—
1150#386—171no—
1151#386—171no—
1152#386—171no—
1153#386—171no—
1154#386—171no—
1155#386—171no—
1156#386—171no—
1157#386—171no—
1158#386—171no—
1159#386—171no—
1160#386—171no—
1161#386—171no—
1162#386—171no—
1163#386—171no—
1164#386—171no—
1165#386C2×D1711yescharacteristic, complemented
1166#386C2×D1711yescharacteristic, complemented
1167#386C2×D1711yescharacteristic, complemented
1168#385—171no—
1169#385—171no—
1170#385—171no—
1171#385—171no—
1172#385—171no—
1173#385—171no—
1174#385—171no—
1175#385—171no—
1176#385—171no—
1177#385—171no—
1178#385—171no—
1179#385—171no—
1180#385—171no—
1181#385—171no—
1182#385C2×D1711yescharacteristic, complemented
1183#385C2×D1711yescharacteristic, complemented
1184#381—171no—
1185#381—171no—
1186#380—171no—
1187#380—171no—
1188#380—171no—
1189#380—171no—
1190#379—171no—
1191#379—171no—
1192#379—171no—
1193#379—171no—
1194#379—171no—
1195#379—171no—
1196#379—171no—
1197#379—171no—
1198#379—171no—
1199#379—171no—
1200C4×C22⋊C4—171no—
1201C4×C22⋊C4—171no—
1202C4×C22⋊C4—171no—
1203C4×C22⋊C4—171no—
1204C4×C22⋊C4—171no—
1205C4×C22⋊C4—171no—
1206C4×C22⋊C4—171no—
1207C4×C22⋊C4—171no—
1208C4×C22⋊C4—171no—
1209C4×C22⋊C4—171no—
1210C4×C22⋊C4—171no—
1211C4×C22⋊C4—171no—
1212C4×C22⋊C4—171no—
1213C4×C22⋊C4—171no—
1214C4×C22⋊C4—171no—
1215C4×C22⋊C4—171no—
1216C4×C22⋊C4—171no—
1217C4×C22⋊C4—171no—
1218C4×C22⋊C4C2×D1711yescharacteristic, complemented
1219C4×C22⋊C4C2×D1711yescharacteristic, complemented
1220C2×C17—24no—
1221C2×C17—24no—
1222C2×C17—42no—
1223C2×C17—42no—
1224C2×C17C22×C4×D411yescharacteristic
1225C2×C17C2×#51811yescharacteristic
1226C2×C17C2×#51811yescharacteristic
1227C2×C17#348411yescharacteristic
1228C2×C17#348411yescharacteristic
1229C2×C17#349011yescharacteristic
1230C2×C17#349011yescharacteristic
1231D17—24no—
1232D17—24no—
1233D17—24no—
1234D17—42no—
1235D17—42no—
1236C25—171no—
1237C25—171no—
1238C25—171no—
1239C25—171no—
1240C25—171no—
1241C25—178no—
1242C25—171no—
1243C25—171no—
1244C25—344no—
1245C25—344no—
1246C25—682no—
1247C25—682no—
1248C25—682no—
1249C25—682no—
1250C25C22×D1711yescharacteristic
1251C22×D4—171no—
1252C22×D4—171no—
1253C22×D4—171no—
1254C22×D4—171no—
1255C22×D4—171no—
1256C22×D4—171no—
1257C22×D4—178no—
1258C22×D4—178no—
1259C22×D4—178no—
1260C22×D4—171no—
1261C22×D4—171no—
1262C22×D4—171no—
1263C22×D4—344no—
1264C22×D4—344no—
1265C22×D4—682no—
1266C22×D4—682no—
1267C22×D4—682no—
1268C22×D4—682no—
1269C22×D4C22×D1711yescharacteristic
1270C22×D4C22×D1711yescharacteristic
1271C22×D4C22×D1711yescharacteristic
1272C23×C4—171no—
1273C23×C4—171no—
1274C23×C4—171no—
1275C23×C4—171no—
1276C23×C4—171no—
1277C23×C4—171no—
1278C23×C4—171no—
1279C23×C4—171no—
1280C23×C4—171no—
1281C23×C4—171no—
1282C23×C4—171no—
1283C23×C4—171no—
1284C23×C4—171no—
1285C23×C4—171no—
1286C23×C4—171no—
1287C23×C4—171no—
1288C23×C4—171no—
1289C23×C4—171no—
1290C23×C4—344no—
1291C23×C4—344no—
1292C23×C4—682no—
1293C23×C4—682no—
1294C23×C4—682no—
1295C23×C4—682no—
1296C23×C4C22×D1711yescharacteristic
1297C23×C4C22×D1711yescharacteristic
1298C23×C4C22×D1711yescharacteristic
1299C23×C4C22×D1711yescharacteristic
1300C23×C4C22×D1711yescharacteristic, complemented
1301#120—178no—
1302#120—178no—
1303#120—178no—
1304#120—178no—
1305#120—178no—
1306#120—178no—
1307#120—178no—
1308#120C4×D1718yescomplemented
1309C4×D4—24no—
1310C4×D4—42no—
1311C4×D4—344no—
1312C4×D4—344no—
1313C4×D4—344no—
1314C4×D4—344no—
1315C4×D4—344no—
1316C4×D4—344no—
1317C4×D4—344no—
1318C4×D4—682no—
1319C4×D4—682no—
1320C4×D4—682no—
1321C4×D4—682no—
1322C4×D4—682no—
1323C4×D4—682no—
1324C4×D4—682no—
1325#117—344no—
1326#117—344no—
1327C2×C4⋊C4—171no—
1328C2×C4⋊C4—171no—
1329C2×C4⋊C4—171no—
1330C2×C4⋊C4—171no—
1331C2×C4⋊C4—171no—
1332C2×C4⋊C4—171no—
1333C2×C4⋊C4—171no—
1334C2×C4⋊C4—171no—
1335C2×C4⋊C4—171no—
1336C2×C4⋊C4C22×D1711yescharacteristic, complemented
1337C2×C4⋊C4C22×D1711yescharacteristic, complemented
1338C2×C4⋊C4C22×D1711yescharacteristic, complemented
1339C2×C22⋊C4—24no—
1340C2×C22⋊C4—42no—
1341C2×C22⋊C4—171no—
1342C2×C22⋊C4—171no—
1343C2×C22⋊C4—171no—
1344C2×C22⋊C4—171no—
1345C2×C22⋊C4—171no—
1346C2×C22⋊C4—171no—
1347C2×C22⋊C4—171no—
1348C2×C22⋊C4—171no—
1349C2×C22⋊C4—171no—
1350C2×C22⋊C4—171no—
1351C2×C22⋊C4—171no—
1352C2×C22⋊C4—171no—
1353C2×C22⋊C4—178no—
1354C2×C22⋊C4—178no—
1355C2×C22⋊C4—178no—
1356C2×C22⋊C4—178no—
1357C2×C22⋊C4—171no—
1358C2×C22⋊C4—171no—
1359C2×C22⋊C4—171no—
1360C2×C22⋊C4—171no—
1361C2×C22⋊C4—171no—
1362C2×C22⋊C4—171no—
1363C2×C22⋊C4—171no—
1364C2×C22⋊C4—171no—
1365C2×C22⋊C4—171no—
1366C2×C22⋊C4—171no—
1367C2×C22⋊C4—171no—
1368C2×C22⋊C4—171no—
1369C2×C22⋊C4—171no—
1370C2×C22⋊C4—171no—
1371C2×C22⋊C4—171no—
1372C2×C22⋊C4—171no—
1373C2×C22⋊C4—171no—
1374C2×C22⋊C4—171no—
1375C2×C22⋊C4—171no—
1376C2×C22⋊C4—171no—
1377C2×C22⋊C4—171no—
1378C2×C22⋊C4—171no—
1379C2×C22⋊C4—171no—
1380C2×C22⋊C4—171no—
1381C2×C22⋊C4—171no—
1382C2×C22⋊C4—171no—
1383C2×C22⋊C4—171no—
1384C2×C22⋊C4—171no—
1385C2×C22⋊C4—171no—
1386C2×C22⋊C4—171no—
1387C2×C22⋊C4—171no—
1388C2×C22⋊C4—171no—
1389C2×C22⋊C4—171no—
1390C2×C22⋊C4—171no—
1391C2×C22⋊C4—171no—
1392C2×C22⋊C4—171no—
1393C2×C22⋊C4—171no—
1394C2×C22⋊C4—171no—
1395C2×C22⋊C4—344no—
1396C2×C22⋊C4—344no—
1397C2×C22⋊C4—344no—
1398C2×C22⋊C4—344no—
1399C2×C22⋊C4—344no—
1400C2×C22⋊C4—344no—
1401C2×C22⋊C4—344no—
1402C2×C22⋊C4—344no—
1403C2×C22⋊C4—344no—
1404C2×C22⋊C4—344no—
1405C2×C22⋊C4—344no—
1406C2×C22⋊C4—344no—
1407C2×C22⋊C4—344no—
1408C2×C22⋊C4—344no—
1409C2×C22⋊C4—682no—
1410C2×C22⋊C4—682no—
1411C2×C22⋊C4—682no—
1412C2×C22⋊C4C22×D1711yescharacteristic
1413C2×C22⋊C4C22×D1711yescharacteristic
1414C2×C22⋊C4C22×D1711yescharacteristic
1415C2×C22⋊C4C22×D1711yescharacteristic
1416C2×C22⋊C4C22×D1711yescharacteristic
1417C2×C22⋊C4C22×D1711yescharacteristic
1418C2×C22⋊C4C22×D1711yescharacteristic
1419C2×C22⋊C4C22×D1711yescharacteristic
1420C2×C22⋊C4C22×D1711yescharacteristic
1421C2×C22⋊C4C22×D1711yescharacteristic
1422C2×C22⋊C4C22×D1711yescharacteristic
1423C2×C22⋊C4C22×D1711yescharacteristic, complemented
1424C2×C22⋊C4C22×D1711yescharacteristic, complemented
1425C2×C22⋊C4C22×D1711yescharacteristic, complemented
1426C2×C42—171no—
1427C2×C42—171no—
1428C2×C42—171no—
1429C2×C42—171no—
1430C2×C42—171no—
1431C2×C42—171no—
1432C2×C42—171no—
1433C2×C42—171no—
1434C2×C42—171no—
1435C2×C42C22×D1711yescharacteristic, complemented
1436C2×C42C22×D1711yescharacteristic, complemented
1437C2×C42C22×D1711yescharacteristic, complemented
1438#95—171no—
1439#95—171no—
1440#95—171no—
1441#95—171no—
1442#95—171no—
1443#95—171no—
1444#95—171no—
1445#95—171no—
1446#95—171no—
1447#95—171no—
1448#95—171no—
1449#95—171no—
1450#95—171no—
1451#95—171no—
1452#95—171no—
1453#95—171no—
1454#95—171no—
1455#95—171no—
1456#95C22×D1711yescharacteristic, complemented
1457#95C22×D1711yescharacteristic, complemented
1458#95C22×D1711yescharacteristic, complemented
1459#95C22×D1711yescharacteristic, complemented
1460#95C22×D1711yescharacteristic, complemented
1461#95C22×D1711yescharacteristic, complemented
1462C17#3419811yescharacteristic, complemented, Sylow
1463C24—22no—
1464C24—22no—
1465C24—22no—
1466C24—22no—
1467C24—41no—
1468C24—41no—
1469C24—171no—
1470C24—171no—
1471C24—171no—
1472C24—174no—
1473C24—174no—
1474C24—174no—
1475C24—174no—
1476C24—171no—
1477C24—171no—
1478C24—174no—
1479C24—174no—
1480C24—174no—
1481C24—174no—
1482C24—174no—
1483C24—342no—
1484C24—342no—
1485C24—342no—
1486C24—342no—
1487C24—342no—
1488C24—342no—
1489C24—342no—
1490C24—342no—
1491C24—342no—
1492C24—342no—
1493C24—342no—
1494C24—342no—
1495C24—3432no—
1496C24—342no—
1497C24—342no—
1498C24—342no—
1499C24—342no—
1500C24—342no—
1501C24—342no—
1502C24—342no—
1503C24—342no—
1504C24—342no—
1505C24—342no—
1506C24—681no—
1507C24—681no—
1508C24—681no—
1509C24—681no—
1510C24—681no—
1511C24—681no—
1512C24—681no—
1513C24—681no—
1514C24—6816no—
1515C24—681no—
1516C24—681no—
1517C24—681no—
1518C24—681no—
1519C24—681no—
1520C24—681no—
1521C24—681no—
1522C24—681no—
1523C24—681no—
1524C24—681no—
1525C24—6816no—
1526C24—6816no—
1527C24—6816no—
1528C24—6816no—
1529C24—6816no—
1530C24C2×C4×D1714yes—
1531C24C23×D1711yescharacteristic
1532C24C23×D1711yescharacteristic
1533C24C23×D1711yescharacteristic
1534C24C23×D1711yescharacteristic
1535C2×D4—22no—
1536C2×D4—22no—
1537C2×D4—22no—
1538C2×D4—22no—
1539C2×D4—41no—
1540C2×D4—41no—
1541C2×D4—174no—
1542C2×D4—174no—
1543C2×D4—174no—
1544C2×D4—174no—
1545C2×D4—174no—
1546C2×D4—174no—
1547C2×D4—174no—
1548C2×D4—174no—
1549C2×D4—174no—
1550C2×D4—342no—
1551C2×D4—342no—
1552C2×D4—342no—
1553C2×D4—342no—
1554C2×D4—3432no—
1555C2×D4—342no—
1556C2×D4—342no—
1557C2×D4—342no—
1558C2×D4—342no—
1559C2×D4—342no—
1560C2×D4—342no—
1561C2×D4—342no—
1562C2×D4—342no—
1563C2×D4—681no—
1564C2×D4—681no—
1565C2×D4—681no—
1566C2×D4—681no—
1567C2×D4—681no—
1568C2×D4—681no—
1569C2×D4—6816no—
1570C2×D4—6816no—
1571C2×D4C2×C4×D1714yes—
1572C2×D4C2×C4×D1714yescomplemented
1573C2×D4C2×C4×D1714yescomplemented
1574C22×C4—22no—
1575C22×C4—22no—
1576C22×C4—22no—
1577C22×C4—22no—
1578C22×C4—22no—
1579C22×C4—22no—
1580C22×C4—22no—
1581C22×C4—41no—
1582C22×C4—41no—
1583C22×C4—41no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—41no—
1587C22×C4—41no—
1588C22×C4—41no—
1589C22×C4—171no—
1590C22×C4—171no—
1591C22×C4—171no—
1592C22×C4—171no—
1593C22×C4—171no—
1594C22×C4—174no—
1595C22×C4—174no—
1596C22×C4—174no—
1597C22×C4—174no—
1598C22×C4—174no—
1599C22×C4—171no—
1600C22×C4—171no—
1601C22×C4—171no—
1602C22×C4—171no—
1603C22×C4—171no—
1604C22×C4—171no—
1605C22×C4—342no—
1606C22×C4—342no—
1607C22×C4—342no—
1608C22×C4—342no—
1609C22×C4—342no—
1610C22×C4—342no—
1611C22×C4—342no—
1612C22×C4—342no—
1613C22×C4—342no—
1614C22×C4—342no—
1615C22×C4—342no—
1616C22×C4—342no—
1617C22×C4—342no—
1618C22×C4—342no—
1619C22×C4—342no—
1620C22×C4—342no—
1621C22×C4—342no—
1622C22×C4—342no—
1623C22×C4—342no—
1624C22×C4—342no—
1625C22×C4—342no—
1626C22×C4—681no—
1627C22×C4—681no—
1628C22×C4—681no—
1629C22×C4—681no—
1630C22×C4—681no—
1631C22×C4—681no—
1632C22×C4—681no—
1633C22×C4—681no—
1634C22×C4—681no—
1635C22×C4—681no—
1636C22×C4—681no—
1637C22×C4—681no—
1638C22×C4—681no—
1639C22×C4—681no—
1640C22×C4—681no—
1641C22×C4—681no—
1642C22×C4—681no—
1643C22×C4—681no—
1644C22×C4—681no—
1645C22×C4—681no—
1646C22×C4—6816no—
1647C22×C4—6816no—
1648C22×C4—681no—
1649C22×C4—681no—
1650C22×C4—681no—
1651C22×C4—681no—
1652C22×C4—681no—
1653C22×C4—681no—
1654C22×C4—681no—
1655C22×C4—681no—
1656C22×C4C23×D1711yescharacteristic
1657C22×C4C23×D1711yescharacteristic
1658C22×C4C23×D1711yescharacteristic
1659C22×C4C23×D1711yescharacteristic
1660C22×C4C23×D1711yescharacteristic
1661C22×C4C23×D1711yescharacteristic
1662C22×C4C23×D1711yescharacteristic
1663C22×C4C23×D1711yescharacteristic
1664C22×C4C23×D1711yescharacteristic
1665C22×C4C23×D1711yescharacteristic
1666C22×C4C23×D1711yescharacteristic
1667C4⋊C4—22no—
1668C4⋊C4—41no—
1669C4⋊C4—41no—
1670C4⋊C4—342no—
1671C4⋊C4—342no—
1672C4⋊C4—342no—
1673C4⋊C4—681no—
1674C4⋊C4—681no—
1675C4⋊C4—681no—
1676C4⋊C4—681no—
1677C4⋊C4—681no—
1678C4⋊C4—681no—
1679C22⋊C4—22no—
1680C22⋊C4—22no—
1681C22⋊C4—22no—
1682C22⋊C4—22no—
1683C22⋊C4—22no—
1684C22⋊C4—22no—
1685C22⋊C4—41no—
1686C22⋊C4—41no—
1687C22⋊C4—41no—
1688C22⋊C4—41no—
1689C22⋊C4—174no—
1690C22⋊C4—174no—
1691C22⋊C4—174no—
1692C22⋊C4—174no—
1693C22⋊C4—174no—
1694C22⋊C4—174no—
1695C22⋊C4—174no—
1696C22⋊C4—174no—
1697C22⋊C4—174no—
1698C22⋊C4—174no—
1699C22⋊C4—174no—
1700C22⋊C4—174no—
1701C22⋊C4—342no—
1702C22⋊C4—342no—
1703C22⋊C4—342no—
1704C22⋊C4—342no—
1705C22⋊C4—342no—
1706C22⋊C4—342no—
1707C22⋊C4—342no—
1708C22⋊C4—342no—
1709C22⋊C4—342no—
1710C22⋊C4—342no—
1711C22⋊C4—342no—
1712C22⋊C4—342no—
1713C22⋊C4—342no—
1714C22⋊C4—342no—
1715C22⋊C4—342no—
1716C22⋊C4—342no—
1717C22⋊C4—342no—
1718C22⋊C4—342no—
1719C22⋊C4—342no—
1720C22⋊C4—342no—
1721C22⋊C4—342no—
1722C22⋊C4—342no—
1723C22⋊C4—342no—
1724C22⋊C4—342no—
1725C22⋊C4—342no—
1726C22⋊C4—342no—
1727C22⋊C4—681no—
1728C22⋊C4—681no—
1729C22⋊C4—681no—
1730C22⋊C4—681no—
1731C22⋊C4—681no—
1732C22⋊C4—681no—
1733C22⋊C4—681no—
1734C22⋊C4—681no—
1735C22⋊C4—681no—
1736C22⋊C4—681no—
1737C22⋊C4—681no—
1738C22⋊C4—681no—
1739C22⋊C4C2×C4×D1714yes—
1740C22⋊C4C2×C4×D1714yescomplemented
1741C22⋊C4C2×C4×D1714yescomplemented
1742C22⋊C4D4×D1714yescomplemented
1743C42—22no—
1744C42—41no—
1745C42—41no—
1746C42—342no—
1747C42—342no—
1748C42—342no—
1749C42—681no—
1750C42—681no—
1751C42—681no—
1752C42—681no—
1753C42—681no—
1754C42—681no—
1755C23—21no—
1756C23—21no—
1757C23—21no—
1758C23—21no—
1759C23—21no—
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—28no—
1764C23—28no—
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—21no—
1771C23—21no—
1772C23—21no—
1773C23—21no—
1774C23—21no—
1775C23—21no—
1776C23—21no—
1777C23—44no—
1778C23—44no—
1779C23—44no—
1780C23—44no—
1781C23—44no—
1782C23—172no—
1783C23—172no—
1784C23—172no—
1785C23—172no—
1786C23—172no—
1787C23—172no—
1788C23—172no—
1789C23—172no—
1790C23—172no—
1791C23—1716no—
1792C23—172no—
1793C23—172no—
1794C23—348no—
1795C23—348no—
1796C23—348no—
1797C23—348no—
1798C23—348no—
1799C23—348no—
1800C23—348no—
1801C23—348no—
1802C23—348no—
1803C23—348no—
1804C23—348no—
1805C23—348no—
1806C23—348no—
1807C23—341no—
1808C23—341no—
1809C23—341no—
1810C23—341no—
1811C23—341no—
1812C23—341no—
1813C23—341no—
1814C23—341no—
1815C23—341no—
1816C23—341no—
1817C23—341no—
1818C23—341no—
1819C23—348no—
1820C23—348no—
1821C23—341no—
1822C23—341no—
1823C23—341no—
1824C23—341no—
1825C23—341no—
1826C23—341no—
1827C23—341no—
1828C23—341no—
1829C23—341no—
1830C23—341no—
1831C23—341no—
1832C23—341no—
1833C23—684no—
1834C23—684no—
1835C23—684no—
1836C23—684no—
1837C23—684no—
1838C23—684no—
1839C23—684no—
1840C23—684no—
1841C23—684no—
1842C23—684no—
1843C23—684no—
1844C23—684no—
1845C23—684no—
1846C23—684no—
1847C23—684no—
1848C23—684no—
1849C23—684no—
1850C23—684no—
1851C23—684no—
1852C23—684no—
1853C23—684no—
1854C23—684no—
1855C23—684no—
1856C23—684no—
1857C23—684no—
1858C23—68128no—
1859C23—684no—
1860C23—684no—
1861C23—684no—
1862C23—684no—
1863C23—1362no—
1864C23—1362no—
1865C23—1362no—
1866C23—1362no—
1867C23C22×C4×D1712yes—
1868C23C22×C4×D1712yes—
1869C23C22×C4×D1712yes—
1870C23C22×C4×D1712yes—
1871C23C2×D4×D1712yes—
1872C23#1058769112yes—
1873C23#41×D1712yes—
1874C23#1058769612yes—
1875C23C24×D1711yescharacteristic
1876D4—28no—
1877D4—28no—
1878D4—44no—
1879D4—348no—
1880D4—348no—
1881D4—348no—
1882D4—348no—
1883D4—348no—
1884D4—348no—
1885D4—684no—
1886D4—684no—
1887D4—684no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—21no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—21no—
1909C2×C4—21no—
1910C2×C4—21no—
1911C2×C4—21no—
1912C2×C4—21no—
1913C2×C4—21no—
1914C2×C4—21no—
1915C2×C4—21no—
1916C2×C4—44no—
1917C2×C4—44no—
1918C2×C4—82no—
1919C2×C4—82no—
1920C2×C4—82no—
1921C2×C4—172no—
1922C2×C4—172no—
1923C2×C4—172no—
1924C2×C4—172no—
1925C2×C4—172no—
1926C2×C4—348no—
1927C2×C4—341no—
1928C2×C4—341no—
1929C2×C4—341no—
1930C2×C4—341no—
1931C2×C4—341no—
1932C2×C4—341no—
1933C2×C4—341no—
1934C2×C4—341no—
1935C2×C4—341no—
1936C2×C4—341no—
1937C2×C4—341no—
1938C2×C4—341no—
1939C2×C4—341no—
1940C2×C4—341no—
1941C2×C4—341no—
1942C2×C4—341no—
1943C2×C4—341no—
1944C2×C4—341no—
1945C2×C4—341no—
1946C2×C4—341no—
1947C2×C4—341no—
1948C2×C4—341no—
1949C2×C4—341no—
1950C2×C4—341no—
1951C2×C4—341no—
1952C2×C4—341no—
1953C2×C4—341no—
1954C2×C4—341no—
1955C2×C4—684no—
1956C2×C4—684no—
1957C2×C4—684no—
1958C2×C4—684no—
1959C2×C4—684no—
1960C2×C4—684no—
1961C2×C4—684no—
1962C2×C4—684no—
1963C2×C4—684no—
1964C2×C4—684no—
1965C2×C4—684no—
1966C2×C4—684no—
1967C2×C4—1362no—
1968C2×C4—1362no—
1969C2×C4—1362no—
1970C2×C4—1362no—
1971C2×C4—1362no—
1972C2×C4C22×C4×D1712yes—
1973C2×C4C22×C4×D1712yes—
1974C2×C4C22×C4×D1712yes—
1975C2×C4C2×D4×D1712yes—
1976C2×C4C2×D4×D1712yes—
1977C22—22no—
1978C22—22no—
1979C22—22no—
1980C22—22no—
1981C22—22no—
1982C22—22no—
1983C22—22no—
1984C22—22no—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—416no—
1996C22—41no—
1997C22—41no—
1998C22—41no—
1999C22—41no—
2000C22—41no—
2001C22—41no—
2002C22—41no—
2003C22—41no—
2004C22—174no—
2005C22—174no—
2006C22—174no—
2007C22—3432no—
2008C22—342no—
2009C22—342no—
2010C22—342no—
2011C22—342no—
2012C22—342no—
2013C22—342no—
2014C22—342no—
2015C22—342no—
2016C22—342no—
2017C22—342no—
2018C22—342no—
2019C22—342no—
2020C22—342no—
2021C22—342no—
2022C22—342no—
2023C22—342no—
2024C22—342no—
2025C22—342no—
2026C22—342no—
2027C22—342no—
2028C22—342no—
2029C22—342no—
2030C22—342no—
2031C22—342no—
2032C22—6816no—
2033C22—6816no—
2034C22—6816no—
2035C22—6816no—
2036C22—6816no—
2037C22—681no—
2038C22—681no—
2039C22—681no—
2040C22—681no—
2041C22—681no—
2042C22—681no—
2043C22—681no—
2044C22—681no—
2045C22—1368no—
2046C22C4×D4×D1714yes—
2047C22#1176328114yescomplemented
2048C22C23×C4×D1711yescharacteristic
2049C22C22×D4×D1711yescharacteristic
2050C22C2×#41×D1711yescharacteristic
2051C22H(5,𝔽2)×D1711yescharacteristic
2052C22H(5,𝔽2)×D1711yescharacteristic
2053C22C2×#1058769111yescharacteristic
2054C22C2×#1058769611yescharacteristic
2055C4—22no—
2056C4—22no—
2057C4—22no—
2058C4—22no—
2059C4—22no—
2060C4—41no—
2061C4—41no—
2062C4—41no—
2063C4—41no—
2064C4—41no—
2065C4—41no—
2066C4—342no—
2067C4—342no—
2068C4—342no—
2069C4—342no—
2070C4—342no—
2071C4—681no—
2072C4—681no—
2073C4—681no—
2074C4—681no—
2075C4—681no—
2076C4—681no—
2077C2—24no—
2078C2—24no—
2079C2—42no—
2080C2—42no—
2081C2—344no—
2082C2—344no—
2083C2—344no—
2084C2—682no—
2085C2—682no—
2086C2C2×C4×D4×D1711yescharacteristic
2087C2D17×#51811yescharacteristic
2088C2C2×#1176328111yescharacteristic
2089C2#1454241211yescharacteristic
2090C2#1454241411yescharacteristic
2091C2#1454246611yescharacteristic
2092C2#1454246811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutatorC22×C17C24×C4
FittingC17×#2358C2
socle, cosocleC23×C17C25
prime radicalC2×#120×D17C2
hypercenter#2358D17
hypocenterC17#34198
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. C2×#11763281C2semidirect
3. C22×C22⋊C4×D17C2semidirect
4. #14531768C2semidirect
5. #14531766C2semidirect
6. #14531764C2semidirect
7. #14531763C2semidirect
8. #14531763C2semidirect
9. #14531761C2semidirect
10. #14531760C2semidirect
11. #14531632C2semidirect
12. #14531631C2semidirect
13. #14531628C2semidirect
14. #14531627C2semidirect
15. #14531605C2semidirect
16. #14531602C2semidirect
17. #14531602C2semidirect
18. D4×#63227C2semidirect
19. #14531446C2semidirect
20. #14531443C2semidirect
21. #14531440C2semidirect
22. #14531437C2semidirect
23. #14531395C2semidirect
24. #14531358C2semidirect
25. #14531289C2semidirect
26. C4×#10587568C2semidirect
27. #14531285C2semidirect
28. C4×#10587623C2semidirect
29. C2×#11762664C2semidirect
30. #14531136C2semidirect
31. C17×#2358C2semidirect
36. C23×C4×D17C22semidirect
37. C23×C4×D17C22semidirect
45. #120×D17C4semidirect
47. C2×C4×D68C22semidirect
48. C2×C4×D68C22semidirect
49. C2×D4×Dic17C22semidirect
50. C2×D4×Dic17C22semidirect
51. C2×#10587579C22semidirect
52. C2×#10587579C22semidirect
53. C2×C4×C22⋊D17C22semidirect
54. C2×C4×C22⋊D17C22semidirect
55. C2×C4×C22⋊D17C22semidirect
56. C2×C4×C22⋊D17C22semidirect
57. C2×#10587567C22semidirect
58. C2×#10587567C22semidirect
59. C2×#10587567C22semidirect
60. C2×#10587567C22semidirect
61. C2×#10587578C22semidirect
62. C2×#10587558C22semidirect
63. C22×C22⋊Dic17C22semidirect
64. C22×C22⋊Dic17C22semidirect
69. C22×#63227C22semidirect
70. C22×#63227C22semidirect
71. C22×#63227C22semidirect
80. C2×C22⋊C4×D17C22semidirect
81. C2×C22⋊C4×D17C22semidirect
82. C2×C22⋊C4×D17C22semidirect
83. C2×C22⋊C4×D17C22semidirect
84. C2×C22⋊C4×D17C22semidirect
85. #11762712C22semidirect
86. #11762711C22semidirect
87. #11762710C22semidirect
88. #11762709C22semidirect
89. #11762709C22semidirect
90. #11762709C22semidirect
91. #11762709C22semidirect
92. #11762703C22semidirect
93. #11762703C22semidirect
94. #11762702C22semidirect
95. #11762702C22semidirect
96. #11762701C22semidirect
97. #11762701C22semidirect
98. #11762700C22semidirect
99. #11762700C22semidirect
100. #11762699C22semidirect
101. #11762699C22semidirect
102. #11762698C22semidirect
103. #11762698C22semidirect
104. #11762697C22semidirect
105. #11762697C22semidirect
106. #11762689C22semidirect
107. #11762689C22semidirect
108. #11762689C22semidirect
109. #11762688C22semidirect
110. #11762688C22semidirect
111. #11762688C22semidirect
112. #11762687C22semidirect
113. #11762687C22semidirect
114. #11762687C22semidirect
115. #11762687C22semidirect
116. #11762687C22semidirect
117. #11762687C22semidirect
118. #11762686C22semidirect
119. #11762686C22semidirect
120. #11762686C22semidirect
121. #11762685C22semidirect
122. #11762685C22semidirect
123. #11762685C22semidirect
124. #11762685C22semidirect
125. #11762685C22semidirect
126. #11762685C22semidirect
127. #11762684C22semidirect
128. #11762684C22semidirect
129. #11762683C22semidirect
130. #11762683C22semidirect
131. #11762683C22semidirect
132. #11762683C22semidirect
133. #11762682C22semidirect
134. #11762682C22semidirect
135. #11762681C22semidirect
136. #11762681C22semidirect
137. #11762680C22semidirect
138. #11762680C22semidirect
139. #11762680C22semidirect
140. #11762680C22semidirect
141. #11762671C22semidirect
142. #11762671C22semidirect
143. #11762668C22semidirect
144. #11762668C22semidirect
145. #11762666C22semidirect
146. #11762666C22semidirect
151. #11762664C22semidirect
152. #11762664C22semidirect
153. #11762664C22semidirect
154. #11762664C22semidirect
155. #11762664C22semidirect
156. #11762664C22semidirect
157. C22⋊C4×Dic17C22semidirect
158. C22⋊C4×Dic17C22semidirect
159. C22⋊C4×Dic17C22semidirect
160. C22⋊C4×Dic17C22semidirect
161. C4×#63227C22semidirect
162. C4×#63227C22semidirect
163. C4×#63227C22semidirect
164. C4×#63227C22semidirect
165. C4×#63227C22semidirect
166. C4×#63227C22semidirect
167. C4×C22⋊Dic17C22semidirect
168. C4×C22⋊Dic17C22semidirect
169. #11762656C22semidirect
170. #11762656C22semidirect
171. #11762656C22semidirect
172. #11762656C22semidirect
173. #11762656C22semidirect
174. #11762656C22semidirect
176. C2×C4×D4×C17C22semidirect
177. C2×C4×D4×C17C22semidirect
178. C22×C22⋊C4×C17C22semidirect
179. C22×C22⋊C4×C17C22semidirect
180. C17×#390C22semidirect
181. C17×#388C22semidirect
182. C17×#388C22semidirect
183. C17×#386C22semidirect
184. C17×#386C22semidirect
185. C17×#386C22semidirect
186. C17×#385C22semidirect
187. C17×#385C22semidirect
188. C4×C22⋊C4×C17C22semidirect
189. C4×C22⋊C4×C17C22semidirect
197. C24×D17C2×C4semidirect
212. C23×C4×C17C23semidirect
223. C23×Dic17C23semidirect
230. C2×D4×D17C2×C4semidirect
231. C2×D4×D17C2×C4semidirect
232. C2×D4×D17C2×C4semidirect
253. C22×C4×D17C23semidirect
254. C22×C4×D17C23semidirect
255. C17×#120C2×C4semidirect
258. C2×C4⋊C4×C17C23semidirect
259. C2×C4⋊C4×C17C23semidirect
260. C2×C4⋊C4×C17C23semidirect
274. C2×C22⋊C4×C17C23semidirect
275. C2×C22⋊C4×C17C23semidirect
276. C2×C22⋊C4×C17C23semidirect
277. C2×C42×C17C23semidirect
278. C2×C42×C17C23semidirect
279. C2×C42×C17C23semidirect
280. #10587639C2×C4semidirect
294. C2×C22⋊Dic17C23semidirect
295. C2×C22⋊Dic17C23semidirect
296. C2×C22⋊Dic17C23semidirect
297. #10587623C2×C4semidirect
298. #10587623C2×C4semidirect
299. #10587623C2×C4semidirect
343. C2×#63227C23semidirect
344. C2×#63227C23semidirect
345. C2×#63227C23semidirect
346. C2×#63227C23semidirect
347. C2×#63227C23semidirect
348. C2×#63227C23semidirect
349. C2×C4⋊Dic17C23semidirect
350. C2×C4⋊Dic17C23semidirect
351. C2×C4⋊Dic17C23semidirect
352. C2×#63225C23semidirect
353. C2×#63225C23semidirect
354. C2×#63225C23semidirect
355. C2×#63225C23semidirect
356. C2×#63225C23semidirect
357. C2×#63225C23semidirect
358. C2×C4×Dic17C23semidirect
359. C2×C4×Dic17C23semidirect
360. C2×C4×Dic17C23semidirect
361. C2×C4×Dic17C23semidirect
362. C2×C4×Dic17C23semidirect
363. C2×C4×Dic17C23semidirect
364. C2×C4×Dic17C23semidirect
365. C2×C4×Dic17C23semidirect
366. C2×C4×Dic17C23semidirect
370. #10587568C2×C4semidirect
371. #10587568C2×C4semidirect
372. #10587568C2×C4semidirect
385. C22⋊C4×D17C2×C4semidirect
386. C22⋊C4×D17C2×C4semidirect
387. C22⋊C4×D17C2×C4semidirect
388. C22⋊C4×D17D4semidirect
392. C17×#95C23semidirect
393. C17×#95C23semidirect
394. C17×#95C23semidirect
395. C17×#95C23semidirect
396. C17×#95C23semidirect
397. C17×#95C23semidirect
398. #10587502C23semidirect
399. #10587502C23semidirect
400. #10587502C23semidirect
401. #10587502C23semidirect
402. #10587502C23semidirect
403. #10587502C23semidirect
404. #10587502C23semidirect
405. #10587502C23semidirect
406. #10587502C23semidirect
407. #10587502C23semidirect
408. #10587502C23semidirect
409. #10587502C23semidirect
410. #10587502C23semidirect
411. #10587502C23semidirect
412. #10587502C23semidirect
413. #10587502C23semidirect
414. #10587502C23semidirect
415. #10587502C23semidirect
480. C23×D17C22×C4semidirect
495. C2×D4×C17C22×C4semidirect
496. C2×D4×C17C22×C4semidirect
538. C2×C22⋊D17C22×C4semidirect
539. C2×C22⋊D17C22×C4semidirect
540. C2×C22⋊D17C22×C4semidirect
578. C2×D68C22×C4semidirect
615. C2×C4×D17C22×C4semidirect
616. C2×C4×D17C22×C4semidirect
617. C2×C4×D17C22×C4semidirect
618. C2×C4×D17C2×D4semidirect
619. C2×C4×D17C2×D4semidirect
634. C22⋊C4×C17C22×C4semidirect
635. C22⋊C4×C17C22×C4semidirect
636. C22⋊C4×C17C2×D4semidirect
651. C22⋊Dic17C22×C4semidirect
652. C22⋊Dic17C22×C4semidirect
653. C22⋊Dic17C2×D4semidirect
686. #63227C22×C4semidirect
687. #63227C22×C4semidirect
818. C22×D17C4×D4semidirect
941. #2358D17semidirect
990. C22×C17#518semidirect
1039. C2×D17#518semidirect
1092. C2×C4×D4C2×D17semidirect
1093. C2×C4×D4C2×D17semidirect
1118. C22×C22⋊C4C2×D17semidirect
1119. C22×C22⋊C4C2×D17semidirect
1127. #390C2×D17semidirect
1142. #388C2×D17semidirect
1143. #388C2×D17semidirect
1165. #386C2×D17semidirect
1166. #386C2×D17semidirect
1167. #386C2×D17semidirect
1182. #385C2×D17semidirect
1183. #385C2×D17semidirect
1218. C4×C22⋊C4C2×D17semidirect
1219. C4×C22⋊C4C2×D17semidirect
1300. C23×C4C22×D17semidirect
1308. #120C4×D17semidirect
1336. C2×C4⋊C4C22×D17semidirect
1337. C2×C4⋊C4C22×D17semidirect
1338. C2×C4⋊C4C22×D17semidirect
1423. C2×C22⋊C4C22×D17semidirect
1424. C2×C22⋊C4C22×D17semidirect
1425. C2×C22⋊C4C22×D17semidirect
1435. C2×C42C22×D17semidirect
1436. C2×C42C22×D17semidirect
1437. C2×C42C22×D17semidirect
1456. #95C22×D17semidirect
1457. #95C22×D17semidirect
1458. #95C22×D17semidirect
1459. #95C22×D17semidirect
1460. #95C22×D17semidirect
1461. #95C22×D17semidirect
1462. C17#34198semidirect
1572. C2×D4C2×C4×D17semidirect
1573. C2×D4C2×C4×D17semidirect
1740. C22⋊C4C2×C4×D17semidirect
1741. C22⋊C4C2×C4×D17semidirect
1742. C22⋊C4D4×D17semidirect
2047. C22#11763281semidirect

Maximal subgroups

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

subgroupindex
C2×#120×D172
C2×#117632812
C22×C22⋊C4×D172
#145317682
#145317662
#145317642
#145317632
#145317612
#145317602
#145316322
#145316312
#145316282
#145316272
#145316052
#145316022
D4×#632272
#145314462
#145314432
#145314402
#145314372
#145313952
#145313582
#145312892
C4×#105875682
#145312852
C4×#105876232
C2×#117626642
#145311362
C17×#23582
#3419817