Finite Group Databasebeta

← D17×#2418 #17201754

Subgroups — D17×#2418 #17201754

Order 4352.

5054 conjugacy classes of subgroups.

The subgroup lattice has 2114 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D17C211yesmaximal, characteristic, complemented
2C2×#120×D17C211yesmaximal, characteristic
3C2×C4×D4×D17C211yesmaximal, characteristic, complemented
4C22×C22⋊C4×D17C211yesmaximal, characteristic, complemented
5#14532253C211yesmaximal, characteristic, complemented
6#14532252C211yesmaximal, characteristic, complemented
7#14532251C211yesmaximal, characteristic, complemented
8#14532250C211yesmaximal, characteristic, complemented
9#14532249C211yesmaximal, characteristic, complemented
10#14532248C211yesmaximal, characteristic, complemented
11#14532247C211yesmaximal, characteristic, complemented
12#14532246C211yesmaximal, characteristic, complemented
13#14532245C211yesmaximal, characteristic, complemented
14#14532244C211yesmaximal, characteristic, complemented
15#14532243C211yesmaximal, characteristic, complemented
16#14532242C211yesmaximal, characteristic, complemented
17#14532241C211yesmaximal, characteristic, complemented
18#14532240C211yesmaximal, characteristic, complemented
19#14532239C211yesmaximal, characteristic, complemented
20D17×#399C211yesmaximal, characteristic, complemented
21D17×#397C211yesmaximal, characteristic, complemented
22D17×#394C211yesmaximal, characteristic, complemented
23D17×#394C211yesmaximal, characteristic, complemented
24D17×#388C211yesmaximal, characteristic, complemented
25D17×#388C211yesmaximal, characteristic, complemented
26D17×#386C211yesmaximal, characteristic, complemented
27D17×#386C211yesmaximal, characteristic, complemented
28D17×#385C211yesmaximal, characteristic, complemented
29D17×#380C211yesmaximal, characteristic, complemented
30D17×#379C211yesmaximal, characteristic, complemented
31C17×#2418C211yesmaximal, characteristic, complemented
32C25×D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C22×D4×D17C2211yescharacteristic
35C22×D4×D17C2211yescharacteristic
36C23×C4×D17C2211yescharacteristic
37C23×C4×D17C2211yescharacteristic
38C23×C4×D17C2211yescharacteristic, complemented
39C2×#10587580C2211yescharacteristic, complemented
40C2×#10587580C2211yescharacteristic, complemented
41C2×#10587572C2211yescharacteristic, complemented
42C2×#10587615C2211yescharacteristic, complemented
43C2×#10587569C2211yescharacteristic, complemented
44C2×#10587569C2211yescharacteristic, complemented
45C2×#10587621C2211yescharacteristic, complemented
46#123×D17—28no—
47C2×#10587568C2211yescharacteristic
48C2×#10587568C2211yescharacteristic
49C2×#10587568C2211yescharacteristic
50C2×#10587639C2211yescharacteristic
51C2×#10587623C2211yescharacteristic
52C2×#10587623C2211yescharacteristic
53C2×#10587623C2211yescharacteristic
54#120×D17—28no—
55C2×C4×D68C2211yescharacteristic, complemented
56C2×D4×Dic17C2211yescharacteristic, complemented
57C2×#10587579C2211yescharacteristic, complemented
58C2×C4×C22⋊D17C2211yescharacteristic, complemented
59C2×C4×C22⋊D17C2211yescharacteristic, complemented
60C2×#10587567C2211yescharacteristic, complemented
61C2×#10587567C2211yescharacteristic, complemented
62C4×D4×D17—28no—
63C2×C4⋊C4×D17C2211yescharacteristic, complemented
64C2×C4⋊C4×D17C2211yescharacteristic, complemented
65C2×C4⋊C4×D17C2211yescharacteristic, complemented
66C2×C4⋊C4×D17C2211yescharacteristic, complemented
67C2×C4⋊C4×D17C2211yescharacteristic, complemented
68C22×C22⋊Dic17C2211yescharacteristic, complemented
69C22×#63227C2211yescharacteristic, complemented
70C22×#63227C2211yescharacteristic, complemented
71C2×C22⋊C4×D17—28no—
72C2×C22⋊C4×D17C2211yescharacteristic
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
81C2×C22⋊C4×D17C2211yescharacteristic
82C2×C22⋊C4×D17C2211yescharacteristic
83C2×C22⋊C4×D17C2211yescharacteristic
84C2×C22⋊C4×D17C2211yescharacteristic
85C2×C22⋊C4×D17C2211yescharacteristic, complemented
86C2×C22⋊C4×D17C2211yescharacteristic, complemented
87C2×C22⋊C4×D17C2211yescharacteristic, complemented
88C2×C22⋊C4×D17C2211yescharacteristic, complemented
89C2×C22⋊C4×D17C2211yescharacteristic, complemented
90C2×C22⋊C4×D17C2211yescharacteristic, complemented
91C2×C22⋊C4×D17C2211yescharacteristic, complemented
92C2×C42×D17C2211yescharacteristic, complemented
93#11762746C2211yescharacteristic, complemented
94#11762745C2211yescharacteristic, complemented
95#11762745C2211yescharacteristic, complemented
96#11762745C2211yescharacteristic, complemented
97#11762744C2211yescharacteristic, complemented
98#11762744C2211yescharacteristic, complemented
99#11762744C2211yescharacteristic, complemented
100#11762738C2211yescharacteristic, complemented
101#11762738C2211yescharacteristic, complemented
102#11762737C2211yescharacteristic, complemented
103#11762737C2211yescharacteristic, complemented
104#11762736C2211yescharacteristic, complemented
105#11762735C2211yescharacteristic, complemented
106#11762734C2211yescharacteristic, complemented
107#11762727C2211yescharacteristic, complemented
108#11762727C2211yescharacteristic, complemented
109#11762726C2211yescharacteristic, complemented
110#11762726C2211yescharacteristic, complemented
111#11762725C2211yescharacteristic, complemented
112#11762725C2211yescharacteristic, complemented
113#11762725C2211yescharacteristic, complemented
114#11762725C2211yescharacteristic, complemented
115#11762724C2211yescharacteristic, complemented
116#11762724C2211yescharacteristic, complemented
117#11762724C2211yescharacteristic, complemented
118#11762724C2211yescharacteristic, complemented
119#11762723C2211yescharacteristic, complemented
120#11762723C2211yescharacteristic, complemented
121#11762703C2211yescharacteristic, complemented
122#11762703C2211yescharacteristic, complemented
123#11762702C2211yescharacteristic, complemented
124#11762702C2211yescharacteristic, complemented
125#11762701C2211yescharacteristic, complemented
126#11762701C2211yescharacteristic, complemented
127#11762700C2211yescharacteristic, complemented
128#11762700C2211yescharacteristic, complemented
129#11762699C2211yescharacteristic, complemented
130#11762699C2211yescharacteristic, complemented
131#11762698C2211yescharacteristic, complemented
132#11762698C2211yescharacteristic, complemented
133#11762697C2211yescharacteristic, complemented
134#11762697C2211yescharacteristic, complemented
135#11762689C2211yescharacteristic, complemented
136#11762689C2211yescharacteristic, complemented
137#11762688C2211yescharacteristic, complemented
138#11762688C2211yescharacteristic, complemented
139#11762687C2211yescharacteristic, complemented
140#11762687C2211yescharacteristic, complemented
141#11762687C2211yescharacteristic, complemented
142#11762687C2211yescharacteristic, complemented
143#11762686C2211yescharacteristic, complemented
144#11762686C2211yescharacteristic, complemented
145#11762685C2211yescharacteristic, complemented
146#11762685C2211yescharacteristic, complemented
147#11762685C2211yescharacteristic, complemented
148#11762685C2211yescharacteristic, complemented
149#11762684C2211yescharacteristic, complemented
150#11762683C2211yescharacteristic, complemented
151#11762683C2211yescharacteristic, complemented
152#11762682C2211yescharacteristic, complemented
153#11762681C2211yescharacteristic, complemented
154#11762680C2211yescharacteristic, complemented
155#11762680C2211yescharacteristic, complemented
156#11762669C2211yescharacteristic, complemented
157#11762668C2211yescharacteristic, complemented
158#11762668C2211yescharacteristic, complemented
159#11762667C2211yescharacteristic, complemented
160#11762667C2211yescharacteristic, complemented
161#11762666C2211yescharacteristic, complemented
162#11762666C2211yescharacteristic, complemented
163#11762665C2211yescharacteristic, complemented
164#11762664C2211yescharacteristic, complemented
165#11762664C2211yescharacteristic, complemented
166#11762664C2211yescharacteristic, complemented
167#11762664C2211yescharacteristic, complemented
168#11762664C2211yescharacteristic, complemented
169#11762664C2211yescharacteristic, complemented
170#95×D17C2211yescharacteristic, complemented
171#95×D17C2211yescharacteristic, complemented
172#95×D17C2211yescharacteristic, complemented
173#95×D17C2211yescharacteristic, complemented
174#95×D17C2211yescharacteristic, complemented
175#95×D17C2211yescharacteristic, complemented
176C2×C17×#123C2211yescharacteristic, complemented
177C2×C17×#120C2211yescharacteristic
178C2×C4×D4×C17C2211yescharacteristic, complemented
179C22×C22⋊C4×C17C2211yescharacteristic, complemented
180C17×#399C2211yescharacteristic, complemented
181C17×#397C2211yescharacteristic, complemented
182C17×#394C2211yescharacteristic, complemented
183C17×#394C2211yescharacteristic, complemented
184C17×#388C2211yescharacteristic, complemented
185C17×#388C2211yescharacteristic, complemented
186C17×#386C2211yescharacteristic, complemented
187C17×#386C2211yescharacteristic, complemented
188C17×#385C2211yescharacteristic, complemented
189C17×#380C2211yescharacteristic, complemented
190C17×#379C2211yescharacteristic, complemented
191C25×C17C2311yescharacteristic
192C24×D17—24no—
193C24×D17—24no—
194C24×D17—24no—
195C24×D17—24no—
196C24×D17—24no—
197C24×D17—42no—
198C24×D17—42no—
199C24×D17C2311yescharacteristic
200C24×D17C2311yescharacteristic
201C24×D17C2311yescharacteristic
202C24×D17C2311yescharacteristic
203C24×D17C2311yescharacteristic
204C24×D17C2311yescharacteristic
205C24×D17C2311yescharacteristic
206C22×D4×C17C2311yescharacteristic
207C22×D4×C17C2311yescharacteristic
208C22×D4×C17C2311yescharacteristic
209C23×C4×C17C2311yescharacteristic
210C23×C4×C17C2311yescharacteristic
211C23×C4×C17C2311yescharacteristic, complemented
212C22×C22⋊D17C2311yescharacteristic
213C22×C22⋊D17C2311yescharacteristic
214C22×C22⋊D17C2311yescharacteristic
215C22×C22⋊D17C2311yescharacteristic
216C22×C22⋊D17C2311yescharacteristic
217C22×C22⋊D17C2311yescharacteristic
218C23×Dic17C2311yescharacteristic
219C23×Dic17C2311yescharacteristic
220C23×Dic17C2311yescharacteristic, complemented
221C2×D4×D17—24no—
222C2×D4×D17—24no—
223C2×D4×D17—24no—
224C2×D4×D17—24no—
225C2×D4×D17—24no—
226C2×D4×D17—24no—
227C2×D4×D17—42no—
228C2×D4×D17—42no—
229C2×D4×D17D418yes—
230C22×D68C2311yescharacteristic
231C22×D68C2311yescharacteristic
232C22×D68C2311yescharacteristic
233C22×C4×D17—24no—
234C22×C4×D17—24no—
235C22×C4×D17—24no—
236C22×C4×D17—24no—
237C22×C4×D17—24no—
238C22×C4×D17—24no—
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
254C22×C4×D17C2311yescharacteristic
255C22×C4×D17C2311yescharacteristic
256C22×C4×D17C2311yescharacteristic
257C22×C4×D17C2311yescharacteristic, complemented
258C22×C4×D17C2311yescharacteristic, complemented
259C17×#123—24no—
260C17×#120—24no—
261C4×D4×C17—24no—
262C2×C4⋊C4×C17C2311yescharacteristic, complemented
263C2×C4⋊C4×C17C2311yescharacteristic, complemented
264C2×C4⋊C4×C17C2311yescharacteristic, complemented
265C2×C4⋊C4×C17C2311yescharacteristic, complemented
266C2×C4⋊C4×C17C2311yescharacteristic, complemented
267C2×C22⋊C4×C17—24no—
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
275C2×C22⋊C4×C17C2311yescharacteristic
276C2×C22⋊C4×C17C2311yescharacteristic
277C2×C22⋊C4×C17C2311yescharacteristic
278C2×C22⋊C4×C17C2311yescharacteristic
279C2×C22⋊C4×C17C2311yescharacteristic
280C2×C22⋊C4×C17C2311yescharacteristic
281C2×C22⋊C4×C17C2311yescharacteristic, complemented
282C2×C22⋊C4×C17C2311yescharacteristic, complemented
283C2×C22⋊C4×C17C2311yescharacteristic, complemented
284C2×C42×C17C2311yescharacteristic, complemented
285#10587639—24no—
286C2×C22⋊Dic17—24no—
287C2×C22⋊Dic17C2311yescharacteristic
288C2×C22⋊Dic17C2311yescharacteristic
289C2×C22⋊Dic17C2311yescharacteristic
290C2×C22⋊Dic17C2311yescharacteristic
291C2×C22⋊Dic17C2311yescharacteristic
292C2×C22⋊Dic17C2311yescharacteristic
293C2×C22⋊Dic17C2311yescharacteristic
294C2×C22⋊Dic17C2311yescharacteristic
295C2×C22⋊Dic17C2311yescharacteristic
296C2×C22⋊Dic17C2311yescharacteristic
297C2×C22⋊Dic17C2311yescharacteristic
298C2×C22⋊Dic17C2311yescharacteristic
299C2×C22⋊Dic17C2311yescharacteristic
300C2×C22⋊Dic17C2311yescharacteristic, complemented
301C2×C22⋊Dic17C2311yescharacteristic, complemented
302C2×C22⋊Dic17C2311yescharacteristic, complemented
303#10587623—24no—
304#10587623—24no—
305#10587623—24no—
306#10587621—24no—
307D4×Dic17—24no—
308#10587615—24no—
309C4×C22⋊D17—24no—
310C4×C22⋊D17—24no—
311C2×#63227—24no—
312C2×#63227—24no—
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, complemented
340C2×#63227C2311yescharacteristic, complemented
341C2×#63227C2311yescharacteristic, complemented
342C2×#63227C2311yescharacteristic, complemented
343C2×#63227C2311yescharacteristic, complemented
344C2×#63227C2311yescharacteristic, complemented
345C2×C4⋊Dic17C2311yescharacteristic, complemented
346C2×C4⋊Dic17C2311yescharacteristic, complemented
347C2×C4⋊Dic17C2311yescharacteristic, complemented
348C2×C4⋊Dic17C2311yescharacteristic, complemented
349C2×C4⋊Dic17C2311yescharacteristic, complemented
350C2×#63225C2311yescharacteristic, complemented
351C2×#63225C2311yescharacteristic, complemented
352C2×#63225C2311yescharacteristic, complemented
353C2×#63225C2311yescharacteristic, complemented
354C2×#63225C2311yescharacteristic, complemented
355C2×#63225C2311yescharacteristic, complemented
356C2×#63225C2311yescharacteristic, complemented
357C2×#63225C2311yescharacteristic, complemented
358C2×#63225C2311yescharacteristic, complemented
359C2×#63225C2311yescharacteristic, complemented
360C2×C4×Dic17C2311yescharacteristic, complemented
361C2×C4×Dic17C2311yescharacteristic, complemented
362C2×C4×Dic17C2311yescharacteristic, complemented
363#10587580—24no—
364#10587580—24no—
365#10587579—24no—
366C4⋊C4×D17—24no—
367C4⋊C4×D17—24no—
368C4⋊C4×D17—24no—
369C4⋊C4×D17—42no—
370C4⋊C4×D17—42no—
371#10587572—24no—
372#10587569—24no—
373#10587569—24no—
374#10587568—24no—
375#10587568—24no—
376#10587568—24no—
377#10587567—24no—
378#10587567—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×D17—24no—
386C22⋊C4×D17—24no—
387C22⋊C4×D17—24no—
388C22⋊C4×D17—24no—
389C22⋊C4×D17—24no—
390C22⋊C4×D17—24no—
391C22⋊C4×D17—24no—
392C22⋊C4×D17—24no—
393C22⋊C4×D17—24no—
394C22⋊C4×D17—24no—
395C22⋊C4×D17—42no—
396C22⋊C4×D17—42no—
397C22⋊C4×D17—42no—
398C22⋊C4×D17D418yescomplemented
399C4×D68—24no—
400C42×D17—24no—
401C17×#95C2311yescharacteristic, complemented
402C17×#95C2311yescharacteristic, complemented
403C17×#95C2311yescharacteristic, complemented
404C17×#95C2311yescharacteristic, complemented
405C17×#95C2311yescharacteristic, complemented
406C17×#95C2311yescharacteristic, 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
416#10587502C2311yescharacteristic, complemented
417#10587502C2311yescharacteristic, complemented
418#10587502C2311yescharacteristic, complemented
419#10587502C2311yescharacteristic, complemented
420#10587502C2311yescharacteristic, complemented
421#10587502C2311yescharacteristic, complemented
422#10587502C2311yescharacteristic, complemented
423#10587502C2311yescharacteristic, complemented
424#10587502C2311yescharacteristic, complemented
425C24×C17—22no—
426C24×C17—22no—
427C24×C17—22no—
428C24×C17—22no—
429C24×C17—22no—
430C24×C17—41no—
431C24×C17—41no—
432C24×C17C2411yescharacteristic
433C24×C17C2411yescharacteristic
434C24×C17C2411yescharacteristic
435C24×C17C2411yescharacteristic
436C23×D17—22no—
437C23×D17—22no—
438C23×D17—22no—
439C23×D17—22no—
440C23×D17—232no—
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—22no—
451C23×D17—22no—
452C23×D17—22no—
453C23×D17—22no—
454C23×D17—22no—
455C23×D17—22no—
456C23×D17—22no—
457C23×D17—22no—
458C23×D17—22no—
459C23×D17—22no—
460C23×D17—22no—
461C23×D17—22no—
462C23×D17—22no—
463C23×D17—22no—
464C23×D17—22no—
465C23×D17—22no—
466C23×D17—22no—
467C23×D17—22no—
468C23×D17—22no—
469C23×D17—22no—
470C23×D17—22no—
471C23×D17—22no—
472C23×D17—22no—
473C23×D17—22no—
474C23×D17—41no—
475C23×D17—41no—
476C23×D17—41no—
477C23×D17—41no—
478C23×D17—41no—
479C23×D17—41no—
480C23×D17—416no—
481C23×D17—416no—
482C23×D17—416no—
483C23×D17—416no—
484C23×D17—416no—
485C23×D17—416no—
486C23×D17C2×D414yes—
487C23×D17C2×D414yes—
488C23×D17C2×D414yes—
489C23×D17#4114yes—
490C23×D17#4114yes—
491C23×D17#4114yes—
492C23×D17C2411yescharacteristic
493C23×D17C2411yescharacteristic
494C23×D17C2411yescharacteristic
495C23×D17C2411yescharacteristic
496C23×D17C2411yescharacteristic
497C2×D4×C17—22no—
498C2×D4×C17—22no—
499C2×D4×C17—22no—
500C2×D4×C17—22no—
501C2×D4×C17—22no—
502C2×D4×C17—22no—
503C2×D4×C17—41no—
504C2×D4×C17—41no—
505C2×D4×C17C2×D414yes—
506C22×C4×C17—22no—
507C22×C4×C17—22no—
508C22×C4×C17—22no—
509C22×C4×C17—22no—
510C22×C4×C17—22no—
511C22×C4×C17—22no—
512C22×C4×C17—41no—
513C22×C4×C17—41no—
514C22×C4×C17—41no—
515C22×C4×C17C2411yescharacteristic
516C22×C4×C17C2411yescharacteristic
517C22×C4×C17C2411yescharacteristic
518C22×C4×C17C2411yescharacteristic
519C22×C4×C17C2411yescharacteristic
520C22×C4×C17C2411yescharacteristic
521C22×C4×C17C2411yescharacteristic
522C22×C4×C17C2411yescharacteristic
523C22×C4×C17C2411yescharacteristic
524C22×C4×C17C2411yescharacteristic
525C22×C4×C17C2411yescharacteristic
526C2×C22⋊D17—22no—
527C2×C22⋊D17—22no—
528C2×C22⋊D17—22no—
529C2×C22⋊D17—22no—
530C2×C22⋊D17—22no—
531C2×C22⋊D17—22no—
532C2×C22⋊D17—22no—
533C2×C22⋊D17—22no—
534C2×C22⋊D17—22no—
535C2×C22⋊D17—22no—
536C2×C22⋊D17—22no—
537C2×C22⋊D17—22no—
538C2×C22⋊D17—41no—
539C2×C22⋊D17—41no—
540C2×C22⋊D17—41no—
541C2×C22⋊D17—41no—
542C2×C22⋊D17C2×D414yes—
543C2×C22⋊D17C2×D414yes—
544C22×Dic17—22no—
545C22×Dic17—22no—
546C22×Dic17—22no—
547C22×Dic17—22no—
548C22×Dic17—22no—
549C22×Dic17—22no—
550C22×Dic17—41no—
551C22×Dic17—41no—
552C22×Dic17—41no—
553C22×Dic17C2411yescharacteristic
554C22×Dic17C2411yescharacteristic
555C22×Dic17C2411yescharacteristic
556C22×Dic17C2411yescharacteristic
557C22×Dic17C2411yescharacteristic
558C22×Dic17C2411yescharacteristic
559C22×Dic17C2411yescharacteristic
560C22×Dic17C2411yescharacteristic
561C22×Dic17C2411yescharacteristic
562C22×Dic17C2411yescharacteristic
563C22×Dic17C2411yescharacteristic
564D4×D17—232no—
565D4×D17—416no—
566D4×D17—416no—
567C2×D68—22no—
568C2×D68—22no—
569C2×D68—22no—
570C2×D68—22no—
571C2×D68—22no—
572C2×D68—22no—
573C2×D68—41no—
574C2×D68—41no—
575C2×D68C2×D414yes—
576C2×C4×D17—22no—
577C2×C4×D17—22no—
578C2×C4×D17—22no—
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—22no—
594C2×C4×D17—22no—
595C2×C4×D17—22no—
596C2×C4×D17—22no—
597C2×C4×D17—22no—
598C2×C4×D17—22no—
599C2×C4×D17—22no—
600C2×C4×D17—22no—
601C2×C4×D17—22no—
602C2×C4×D17—22no—
603C2×C4×D17—22no—
604C2×C4×D17—22no—
605C2×C4×D17—22no—
606C2×C4×D17—22no—
607C2×C4×D17—22no—
608C2×C4×D17—22no—
609C2×C4×D17—22no—
610C2×C4×D17—22no—
611C2×C4×D17—22no—
612C2×C4×D17—22no—
613C2×C4×D17—22no—
614C2×C4×D17—22no—
615C2×C4×D17—22no—
616C2×C4×D17—22no—
617C2×C4×D17—22no—
618C2×C4×D17—416no—
619C2×C4×D17—416no—
620C2×C4×D17—416no—
621C2×C4×D17—41no—
622C2×C4×D17—41no—
623C2×C4×D17—41no—
624C2×C4×D17—41no—
625C2×C4×D17—41no—
626C2×C4×D17—41no—
627C2×C4×D17C2×D414yes—
628C2×C4×D17C2×D414yes—
629C2×C4×D17C2×D414yes—
630C4⋊C4×C17—22no—
631C4⋊C4×C17—22no—
632C4⋊C4×C17—22no—
633C4⋊C4×C17—41no—
634C4⋊C4×C17—41no—
635C22⋊C4×C17—22no—
636C22⋊C4×C17—22no—
637C22⋊C4×C17—22no—
638C22⋊C4×C17—22no—
639C22⋊C4×C17—22no—
640C22⋊C4×C17—22no—
641C22⋊C4×C17—22no—
642C22⋊C4×C17—22no—
643C22⋊C4×C17—22no—
644C22⋊C4×C17—22no—
645C22⋊C4×C17—22no—
646C22⋊C4×C17—22no—
647C22⋊C4×C17—41no—
648C22⋊C4×C17—41no—
649C22⋊C4×C17—41no—
650C22⋊C4×C17C2×D414yescomplemented
651C42×C17—22no—
652C22⋊Dic17—22no—
653C22⋊Dic17—22no—
654C22⋊Dic17—22no—
655C22⋊Dic17—22no—
656C22⋊Dic17—22no—
657C22⋊Dic17—22no—
658C22⋊Dic17—22no—
659C22⋊Dic17—22no—
660C22⋊Dic17—22no—
661C22⋊Dic17—22no—
662C22⋊Dic17—22no—
663C22⋊Dic17—22no—
664C22⋊Dic17—41no—
665C22⋊Dic17—41no—
666C22⋊Dic17—41no—
667C22⋊Dic17C2×D414yescomplemented
668#63227—22no—
669#63227—22no—
670#63227—22no—
671#63227—22no—
672#63227—22no—
673#63227—22no—
674#63227—22no—
675#63227—22no—
676#63227—22no—
677#63227—22no—
678#63227—22no—
679#63227—22no—
680#63227—22no—
681#63227—22no—
682#63227—22no—
683#63227—22no—
684#63227—22no—
685#63227—22no—
686#63227—22no—
687#63227—22no—
688#63227—22no—
689#63227—22no—
690#63227—22no—
691#63227—22no—
692#63227—41no—
693#63227—41no—
694#63227—41no—
695#63227—41no—
696#63227—41no—
697#63227—41no—
698#63227C2×D414yescomplemented
699#63227C2×D414yescomplemented
700C4⋊Dic17—22no—
701C4⋊Dic17—22no—
702C4⋊Dic17—22no—
703C4⋊Dic17—41no—
704C4⋊Dic17—41no—
705#63225—22no—
706#63225—22no—
707#63225—22no—
708#63225—22no—
709#63225—22no—
710#63225—22no—
711#63225—41no—
712#63225—41no—
713#63225—41no—
714#63225—41no—
715C4×Dic17—22no—
716C4×Dic17—22no—
717C4×Dic17—22no—
718C2×#2418—171nomaximal, Sylow
719C23×C17—21no—
720C23×C17—21no—
721C23×C17—21no—
722C23×C17—21no—
723C23×C17—28no—
724C23×C17—21no—
725C23×C17—21no—
726C23×C17—21no—
727C23×C17—21no—
728C23×C17—21no—
729C23×C17—21no—
730C23×C17—21no—
731C23×C17—21no—
732C23×C17—21no—
733C23×C17—21no—
734C23×C17—21no—
735C23×C17—21no—
736C23×C17—21no—
737C23×C17—21no—
738C23×C17—21no—
739C23×C17—21no—
740C23×C17—21no—
741C23×C17—21no—
742C23×C17—44no—
743C23×C17—44no—
744C23×C17—44no—
745C23×C17—44no—
746C23×C17—44no—
747C23×C17—44no—
748C23×C17C22×D412yes—
749C23×C17C22×D412yes—
750C23×C17C22×D412yes—
751C23×C17C2×#4112yes—
752C23×C17C2×#4112yes—
753C23×C17C2×#4112yes—
754C23×C17C2511yescharacteristic
755C22×D17—21no—
756C22×D17—21no—
757C22×D17—21no—
758C22×D17—21no—
759C22×D17—28no—
760C22×D17—28no—
761C22×D17—28no—
762C22×D17—28no—
763C22×D17—28no—
764C22×D17—28no—
765C22×D17—28no—
766C22×D17—28no—
767C22×D17—28no—
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—21no—
779C22×D17—21no—
780C22×D17—21no—
781C22×D17—21no—
782C22×D17—21no—
783C22×D17—21no—
784C22×D17—21no—
785C22×D17—21no—
786C22×D17—28no—
787C22×D17—28no—
788C22×D17—28no—
789C22×D17—28no—
790C22×D17—28no—
791C22×D17—28no—
792C22×D17—28no—
793C22×D17—28no—
794C22×D17—28no—
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—44no—
815C22×D17—44no—
816C22×D17—44no—
817C22×D17—44no—
818C22×D17—44no—
819C22×D17—44no—
820C22×D17—44no—
821C22×D17—44no—
822C22×D17—44no—
823C22×D17—44no—
824C22×D17—44no—
825C22×D17—44no—
826C22×D17#123116yescomplemented
827C22×D17C22×D412yes—
828C22×D17C22×D412yes—
829C22×D17C22×D412yes—
830C22×D17C22×D412yes—
831C22×D17C22×D412yes—
832C22×D17C2×#4112yes—
833C22×D17C2×#4112yes—
834C22×D17C2×#4112yes—
835C22×D17C2×#4112yes—
836C22×D17C2×#4112yes—
837C22×D17C2×#4112yes—
838C22×D17H(5,𝔽2)12yes—
839C22×D17H(5,𝔽2)12yes—
840D4×C17—28no—
841D4×C17—44no—
842D4×C17—44no—
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—21no—
862C2×C4×C17—21no—
863C2×C4×C17—21no—
864C2×C4×C17—21no—
865C2×C4×C17—21no—
866C2×C4×C17—21no—
867C2×C4×C17—21no—
868C2×C4×C17—21no—
869C2×C4×C17—21no—
870C2×C4×C17—21no—
871C2×C4×C17—21no—
872C2×C4×C17—21no—
873C2×C4×C17—44no—
874C2×C4×C17—44no—
875C2×C4×C17—44no—
876C2×C4×C17C22×D412yes—
877C2×C4×C17C22×D412yes—
878C2×C4×C17C22×D412yes—
879C22⋊D17—28no—
880C22⋊D17—28no—
881C22⋊D17—44no—
882C22⋊D17—44no—
883C22⋊D17—44no—
884C22⋊D17—44no—
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—21no—
906C2×Dic17—21no—
907C2×Dic17—21no—
908C2×Dic17—21no—
909C2×Dic17—21no—
910C2×Dic17—21no—
911C2×Dic17—21no—
912C2×Dic17—21no—
913C2×Dic17—21no—
914C2×Dic17—21no—
915C2×Dic17—44no—
916C2×Dic17—44no—
917C2×Dic17—44no—
918C2×Dic17C22×D412yes—
919C2×Dic17C22×D412yes—
920C2×Dic17C22×D412yes—
921D68—28no—
922D68—44no—
923D68—44no—
924C4×D17—28no—
925C4×D17—28no—
926C4×D17—28no—
927C4×D17—44no—
928C4×D17—44no—
929C4×D17—44no—
930C4×D17—44no—
931C4×D17—44no—
932C4×D17—44no—
933C4×D17—44no—
934C4×D17—44no—
935C4×D17—44no—
936C4×D17—44no—
937C4×D17—44no—
938C4×D17—44no—
939C4×D17—44no—
940C4×D17—44no—
941C22×#123—171no—
942C22×#120—171no—
943C22×C4×D4—171no—
944C23×C22⋊C4—171no—
945#2418—171no—
946#2418—171no—
947#2418—171no—
948#2418—171no—
949#2418—171no—
950#2418—171no—
951#2418—171no—
952#2418—171no—
953#2418—171no—
954#2418—171no—
955#2418—171no—
956#2418—171no—
957#2418—171no—
958#2418—171no—
959#2418—171no—
960#2418D1711yescharacteristic, direct product factor
961C2×#399—171no—
962C2×#397—171no—
963C2×#394—171no—
964C2×#394—171no—
965C2×#388—171no—
966C2×#388—171no—
967C2×#386—171no—
968C2×#386—171no—
969C2×#385—171no—
970C2×#380—171no—
971C2×#379—171no—
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—22no—
981C22×C17—22no—
982C22×C17—22no—
983C22×C17—22no—
984C22×C17—22no—
985C22×C17—22no—
986C22×C17—22no—
987C22×C17—416no—
988C22×C17—41no—
989C22×C17—41no—
990C22×C17—41no—
991C22×C17—41no—
992C22×C17—41no—
993C22×C17—41no—
994C22×C17—41no—
995C22×C17—41no—
996C22×C17—41no—
997C22×C17—41no—
998C22×C17—41no—
999C22×C17—41no—
1000C22×C17C2×#12314yescomplemented
1001C22×C17C23×D411yescharacteristic
1002C22×C17C23×D411yescharacteristic
1003C22×C17C22×#4111yescharacteristic
1004C22×C17C22×#4111yescharacteristic
1005C22×C17C22×#4111yescharacteristic
1006C22×C17C2×H(5,𝔽2)11yescharacteristic
1007C22×C17C2×H(5,𝔽2)11yescharacteristic
1008C2×D17—22no—
1009C2×D17—22no—
1010C2×D17—22no—
1011C2×D17—22no—
1012C2×D17—22no—
1013C2×D17—22no—
1014C2×D17—232no—
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—22no—
1024C2×D17—416no—
1025C2×D17—416no—
1026C2×D17—416no—
1027C2×D17—41no—
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—41no—
1037C2×D17—41no—
1038C2×D17—41no—
1039C2×D17—416no—
1040C2×D17—416no—
1041C2×D17—416no—
1042C2×D17C2×#12314yes—
1043C2×D17C2×#12314yescomplemented
1044C2×D17#52514yes—
1045C2×D17#53814yes—
1046C2×D17D4214yes—
1047C2×D17#54614yes—
1048C2×D17#54614yes—
1049C2×D17#55114yes—
1050C4×C17—22no—
1051C4×C17—22no—
1052C4×C17—22no—
1053C4×C17—41no—
1054C4×C17—41no—
1055C4×C17—41no—
1056C4×C17—41no—
1057C4×C17—41no—
1058C4×C17—41no—
1059C4×C17—41no—
1060C4×C17—41no—
1061Dic17—22no—
1062Dic17—22no—
1063Dic17—22no—
1064Dic17—41no—
1065Dic17—41no—
1066Dic17—41no—
1067Dic17—41no—
1068Dic17—41no—
1069Dic17—41no—
1070Dic17—41no—
1071Dic17—41no—
1072C26—171no—
1073C23×D4—171no—
1074C23×D4—171no—
1075C23×D4—171no—
1076C24×C4—171no—
1077C24×C4—171no—
1078C24×C4—171no—
1079C2×#123—171no—
1080C2×#123—171no—
1081C2×#123—171no—
1082C2×#123—171no—
1083C2×#123—171no—
1084C2×#123—171no—
1085C2×#123—171no—
1086C2×#123—348no—
1087C2×#123C2×D1711yescharacteristic, complemented
1088C2×#120—171no—
1089C2×#120—171no—
1090C2×#120—171no—
1091C2×#120—171no—
1092C2×#120—171no—
1093C2×#120—171no—
1094C2×#120—171no—
1095C2×#120—348no—
1096C2×#120C2×D1711yescharacteristic
1097C2×C4×D4—171no—
1098C2×C4×D4—171no—
1099C2×C4×D4—171no—
1100C2×C4×D4—171no—
1101C2×C4×D4—171no—
1102C2×C4×D4—171no—
1103C2×C4×D4—171no—
1104C2×C4×D4—348no—
1105C2×C4×D4C2×D1711yescharacteristic, complemented
1106C22×C4⋊C4—171no—
1107C22×C4⋊C4—171no—
1108C22×C4⋊C4—171no—
1109C22×C4⋊C4—171no—
1110C22×C4⋊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—171no—
1118C22×C22⋊C4—171no—
1119C22×C22⋊C4—171no—
1120C22×C22⋊C4—171no—
1121C22×C22⋊C4—171no—
1122C22×C22⋊C4—171no—
1123C22×C22⋊C4—171no—
1124C22×C22⋊C4—171no—
1125C22×C22⋊C4—171no—
1126C22×C22⋊C4—171no—
1127C22×C22⋊C4—171no—
1128C22×C22⋊C4—171no—
1129C22×C22⋊C4—171no—
1130C22×C22⋊C4—171no—
1131C22×C22⋊C4—171no—
1132C22×C22⋊C4—171no—
1133C22×C22⋊C4—171no—
1134C22×C22⋊C4—348no—
1135C22×C22⋊C4C2×D1711yescharacteristic, complemented
1136C22×C42—171no—
1137#399—171no—
1138#399—171no—
1139#399—171no—
1140#399—171no—
1141#399—171no—
1142#399—171no—
1143#399—171no—
1144#399C2×D1711yescharacteristic, complemented
1145#397—171no—
1146#397—171no—
1147#397—171no—
1148#397—171no—
1149#397—171no—
1150#397—171no—
1151#397—171no—
1152#397C2×D1711yescharacteristic, complemented
1153#394—171no—
1154#394—171no—
1155#394—171no—
1156#394—171no—
1157#394—171no—
1158#394—171no—
1159#394—171no—
1160#394—171no—
1161#394—171no—
1162#394—171no—
1163#394—171no—
1164#394—171no—
1165#394—171no—
1166#394—171no—
1167#394C2×D1711yescharacteristic, complemented
1168#394C2×D1711yescharacteristic, complemented
1169#388—171no—
1170#388—171no—
1171#388—171no—
1172#388—171no—
1173#388—171no—
1174#388—171no—
1175#388—171no—
1176#388—171no—
1177#388—171no—
1178#388—171no—
1179#388—171no—
1180#388—171no—
1181#388—171no—
1182#388—171no—
1183#388C2×D1711yescharacteristic, complemented
1184#388C2×D1711yescharacteristic, complemented
1185#386—171no—
1186#386—171no—
1187#386—171no—
1188#386—171no—
1189#386—171no—
1190#386—171no—
1191#386—171no—
1192#386—171no—
1193#386—171no—
1194#386—171no—
1195#386—171no—
1196#386—171no—
1197#386—171no—
1198#386—171no—
1199#386C2×D1711yescharacteristic, complemented
1200#386C2×D1711yescharacteristic, complemented
1201#385—171no—
1202#385—171no—
1203#385—171no—
1204#385—171no—
1205#385—171no—
1206#385—171no—
1207#385—171no—
1208#385C2×D1711yescharacteristic, complemented
1209#380—171no—
1210#380—171no—
1211#380—171no—
1212#380—171no—
1213#380—171no—
1214#380—171no—
1215#380—171no—
1216#380C2×D1711yescharacteristic, complemented
1217#379—171no—
1218#379—171no—
1219#379—171no—
1220#379—171no—
1221#379—171no—
1222#379—171no—
1223#379—171no—
1224#379C2×D1711yescharacteristic, complemented
1225C2×#95—171no—
1226C2×#95—171no—
1227C2×#95—171no—
1228C2×#95—171no—
1229C2×#95—171no—
1230C2×#95—171no—
1231C2×C17—24no—
1232C2×C17—42no—
1233C2×C17—42no—
1234C2×C17—42no—
1235C2×C17C22×#12311yescharacteristic
1236C2×C17C2×#52511yescharacteristic
1237C2×C17C2×#53811yescharacteristic
1238C2×C17C2×D4211yescharacteristic
1239C2×C17C2×#54611yescharacteristic
1240C2×C17C2×#54611yescharacteristic
1241C2×C17C2×#55111yescharacteristic
1242D17—24no—
1243D17—42no—
1244D17—42no—
1245D17—42no—
1246D17#241818yesdirect product factor
1247C25—171no—
1248C25—171no—
1249C25—171no—
1250C25—171no—
1251C25—171no—
1252C25—171no—
1253C25—171no—
1254C25—344no—
1255C25—344no—
1256C25—344no—
1257C25—344no—
1258C25—344no—
1259C25—682no—
1260C25—682no—
1261C25C22×D1711yescharacteristic
1262C22×D4—171no—
1263C22×D4—171no—
1264C22×D4—178no—
1265C22×D4—171no—
1266C22×D4—171no—
1267C22×D4—171no—
1268C22×D4—171no—
1269C22×D4—171no—
1270C22×D4—171no—
1271C22×D4—171no—
1272C22×D4—344no—
1273C22×D4—344no—
1274C22×D4—344no—
1275C22×D4—344no—
1276C22×D4—344no—
1277C22×D4—344no—
1278C22×D4—682no—
1279C22×D4—682no—
1280C22×D4C22×D1711yescharacteristic
1281C22×D4C22×D1711yescharacteristic
1282C22×D4C22×D1711yescharacteristic
1283C23×C4—171no—
1284C23×C4—171no—
1285C23×C4—171no—
1286C23×C4—171no—
1287C23×C4—171no—
1288C23×C4—171no—
1289C23×C4—171no—
1290C23×C4—171no—
1291C23×C4—171no—
1292C23×C4—171no—
1293C23×C4—171no—
1294C23×C4—171no—
1295C23×C4—171no—
1296C23×C4—171no—
1297C23×C4—171no—
1298C23×C4—171no—
1299C23×C4—171no—
1300C23×C4—171no—
1301C23×C4—171no—
1302C23×C4—171no—
1303C23×C4—344no—
1304C23×C4—344no—
1305C23×C4—344no—
1306C23×C4—344no—
1307C23×C4—344no—
1308C23×C4—344no—
1309C23×C4—682no—
1310C23×C4—682no—
1311C23×C4—682no—
1312C23×C4C22×D1711yescharacteristic
1313C23×C4C22×D1711yescharacteristic
1314C23×C4C22×D1711yescharacteristic, complemented
1315#123—24no—
1316#123—344no—
1317#123—344no—
1318#123—344no—
1319#123—344no—
1320#123—344no—
1321#123—344no—
1322#123—344no—
1323#120—24no—
1324#120—344no—
1325#120—344no—
1326#120—344no—
1327#120—344no—
1328#120—344no—
1329#120—344no—
1330#120—344no—
1331C4×D4—24no—
1332C4×D4—344no—
1333C4×D4—344no—
1334C4×D4—344no—
1335C4×D4—344no—
1336C4×D4—344no—
1337C4×D4—344no—
1338C4×D4—344no—
1339C2×C4⋊C4—171no—
1340C2×C4⋊C4—171no—
1341C2×C4⋊C4—171no—
1342C2×C4⋊C4—171no—
1343C2×C4⋊C4—171no—
1344C2×C4⋊C4—171no—
1345C2×C4⋊C4—171no—
1346C2×C4⋊C4—171no—
1347C2×C4⋊C4—171no—
1348C2×C4⋊C4—171no—
1349C2×C4⋊C4—171no—
1350C2×C4⋊C4—171no—
1351C2×C4⋊C4—171no—
1352C2×C4⋊C4—171no—
1353C2×C4⋊C4—171no—
1354C2×C4⋊C4—344no—
1355C2×C4⋊C4—344no—
1356C2×C4⋊C4—344no—
1357C2×C4⋊C4—682no—
1358C2×C4⋊C4—682no—
1359C2×C4⋊C4C22×D1711yescharacteristic, complemented
1360C2×C4⋊C4C22×D1711yescharacteristic, complemented
1361C2×C4⋊C4C22×D1711yescharacteristic, complemented
1362C2×C4⋊C4C22×D1711yescharacteristic, complemented
1363C2×C4⋊C4C22×D1711yescharacteristic, complemented
1364C2×C22⋊C4—24no—
1365C2×C22⋊C4—171no—
1366C2×C22⋊C4—171no—
1367C2×C22⋊C4—171no—
1368C2×C22⋊C4—178no—
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—171no—
1396C2×C22⋊C4—171no—
1397C2×C22⋊C4—171no—
1398C2×C22⋊C4—171no—
1399C2×C22⋊C4—171no—
1400C2×C22⋊C4—171no—
1401C2×C22⋊C4—171no—
1402C2×C22⋊C4—171no—
1403C2×C22⋊C4—171no—
1404C2×C22⋊C4—171no—
1405C2×C22⋊C4—171no—
1406C2×C22⋊C4—171no—
1407C2×C22⋊C4—171no—
1408C2×C22⋊C4—171no—
1409C2×C22⋊C4—171no—
1410C2×C22⋊C4—171no—
1411C2×C22⋊C4—171no—
1412C2×C22⋊C4—171no—
1413C2×C22⋊C4—171no—
1414C2×C22⋊C4—344no—
1415C2×C22⋊C4—344no—
1416C2×C22⋊C4—344no—
1417C2×C22⋊C4—344no—
1418C2×C22⋊C4—344no—
1419C2×C22⋊C4—344no—
1420C2×C22⋊C4—344no—
1421C2×C22⋊C4—344no—
1422C2×C22⋊C4—344no—
1423C2×C22⋊C4—344no—
1424C2×C22⋊C4—344no—
1425C2×C22⋊C4—344no—
1426C2×C22⋊C4—344no—
1427C2×C22⋊C4—344no—
1428C2×C22⋊C4—344no—
1429C2×C22⋊C4—344no—
1430C2×C22⋊C4—344no—
1431C2×C22⋊C4—344no—
1432C2×C22⋊C4—344no—
1433C2×C22⋊C4—682no—
1434C2×C22⋊C4—682no—
1435C2×C22⋊C4—682no—
1436C2×C22⋊C4C22×D1711yescharacteristic
1437C2×C22⋊C4C22×D1711yescharacteristic
1438C2×C22⋊C4C22×D1711yescharacteristic
1439C2×C22⋊C4C22×D1711yescharacteristic
1440C2×C22⋊C4C22×D1711yescharacteristic
1441C2×C22⋊C4C22×D1711yescharacteristic
1442C2×C22⋊C4C22×D1711yescharacteristic
1443C2×C22⋊C4C22×D1711yescharacteristic
1444C2×C22⋊C4C22×D1711yescharacteristic
1445C2×C22⋊C4C22×D1711yescharacteristic
1446C2×C22⋊C4C22×D1711yescharacteristic
1447C2×C22⋊C4C22×D1711yescharacteristic
1448C2×C22⋊C4C22×D1711yescharacteristic
1449C2×C22⋊C4C22×D1711yescharacteristic, complemented
1450C2×C22⋊C4C22×D1711yescharacteristic, complemented
1451C2×C22⋊C4C22×D1711yescharacteristic, complemented
1452C2×C42—171no—
1453C2×C42—171no—
1454C2×C42—171no—
1455C2×C42—344no—
1456C2×C42C22×D1711yescharacteristic, complemented
1457#95—171no—
1458#95—171no—
1459#95—171no—
1460#95—171no—
1461#95—171no—
1462#95—171no—
1463#95—171no—
1464#95—171no—
1465#95—171no—
1466#95—171no—
1467#95—171no—
1468#95—171no—
1469#95—171no—
1470#95—171no—
1471#95—171no—
1472#95—171no—
1473#95—171no—
1474#95—171no—
1475#95C22×D1711yescharacteristic, complemented
1476#95C22×D1711yescharacteristic, complemented
1477#95C22×D1711yescharacteristic, complemented
1478#95C22×D1711yescharacteristic, complemented
1479#95C22×D1711yescharacteristic, complemented
1480#95C22×D1711yescharacteristic, complemented
1481C17C2×#241811yescharacteristic, complemented, Sylow
1482C24—22no—
1483C24—22no—
1484C24—22no—
1485C24—22no—
1486C24—22no—
1487C24—41no—
1488C24—41no—
1489C24—171no—
1490C24—174no—
1491C24—174no—
1492C24—174no—
1493C24—171no—
1494C24—174no—
1495C24—174no—
1496C24—174no—
1497C24—171no—
1498C24—171no—
1499C24—171no—
1500C24—342no—
1501C24—342no—
1502C24—342no—
1503C24—342no—
1504C24—342no—
1505C24—342no—
1506C24—342no—
1507C24—342no—
1508C24—342no—
1509C24—342no—
1510C24—342no—
1511C24—342no—
1512C24—342no—
1513C24—342no—
1514C24—342no—
1515C24—342no—
1516C24—342no—
1517C24—342no—
1518C24—342no—
1519C24—342no—
1520C24—342no—
1521C24—342no—
1522C24—342no—
1523C24—342no—
1524C24—342no—
1525C24—342no—
1526C24—342no—
1527C24—342no—
1528C24—342no—
1529C24—342no—
1530C24—342no—
1531C24—342no—
1532C24—3432no—
1533C24—342no—
1534C24—342no—
1535C24—342no—
1536C24—342no—
1537C24—342no—
1538C24—681no—
1539C24—681no—
1540C24—681no—
1541C24—681no—
1542C24—681no—
1543C24—681no—
1544C24—6816no—
1545C24—6816no—
1546C24—6816no—
1547C24—6816no—
1548C24—6816no—
1549C24—6816no—
1550C24C23×D1711yescharacteristic
1551C24C23×D1711yescharacteristic
1552C24C23×D1711yescharacteristic
1553C24C23×D1711yescharacteristic
1554C2×D4—22no—
1555C2×D4—22no—
1556C2×D4—22no—
1557C2×D4—22no—
1558C2×D4—22no—
1559C2×D4—22no—
1560C2×D4—41no—
1561C2×D4—41no—
1562C2×D4—174no—
1563C2×D4—174no—
1564C2×D4—174no—
1565C2×D4—342no—
1566C2×D4—342no—
1567C2×D4—342no—
1568C2×D4—342no—
1569C2×D4—342no—
1570C2×D4—342no—
1571C2×D4—3432no—
1572C2×D4—342no—
1573C2×D4—342no—
1574C2×D4—342no—
1575C2×D4—342no—
1576C2×D4—342no—
1577C2×D4—342no—
1578C2×D4—342no—
1579C2×D4—342no—
1580C2×D4—342no—
1581C2×D4—342no—
1582C2×D4—342no—
1583C2×D4—342no—
1584C2×D4—681no—
1585C2×D4—681no—
1586C2×D4—681no—
1587C2×D4—681no—
1588C2×D4—681no—
1589C2×D4—681no—
1590C2×D4—6816no—
1591C2×D4—6816no—
1592C2×D4D4×D1714yes—
1593C22×C4—22no—
1594C22×C4—22no—
1595C22×C4—22no—
1596C22×C4—22no—
1597C22×C4—22no—
1598C22×C4—22no—
1599C22×C4—41no—
1600C22×C4—41no—
1601C22×C4—41no—
1602C22×C4—171no—
1603C22×C4—171no—
1604C22×C4—171no—
1605C22×C4—174no—
1606C22×C4—174no—
1607C22×C4—174no—
1608C22×C4—171no—
1609C22×C4—171no—
1610C22×C4—171no—
1611C22×C4—171no—
1612C22×C4—171no—
1613C22×C4—171no—
1614C22×C4—171no—
1615C22×C4—171no—
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—342no—
1627C22×C4—342no—
1628C22×C4—342no—
1629C22×C4—342no—
1630C22×C4—342no—
1631C22×C4—342no—
1632C22×C4—342no—
1633C22×C4—342no—
1634C22×C4—342no—
1635C22×C4—342no—
1636C22×C4—342no—
1637C22×C4—342no—
1638C22×C4—342no—
1639C22×C4—342no—
1640C22×C4—342no—
1641C22×C4—342no—
1642C22×C4—342no—
1643C22×C4—342no—
1644C22×C4—342no—
1645C22×C4—342no—
1646C22×C4—342no—
1647C22×C4—342no—
1648C22×C4—342no—
1649C22×C4—342no—
1650C22×C4—342no—
1651C22×C4—342no—
1652C22×C4—342no—
1653C22×C4—342no—
1654C22×C4—342no—
1655C22×C4—342no—
1656C22×C4—342no—
1657C22×C4—342no—
1658C22×C4—342no—
1659C22×C4—342no—
1660C22×C4—342no—
1661C22×C4—342no—
1662C22×C4—342no—
1663C22×C4—342no—
1664C22×C4—681no—
1665C22×C4—681no—
1666C22×C4—681no—
1667C22×C4—681no—
1668C22×C4—681no—
1669C22×C4—681no—
1670C22×C4—6816no—
1671C22×C4—6816no—
1672C22×C4—6816no—
1673C22×C4—681no—
1674C22×C4—681no—
1675C22×C4—681no—
1676C22×C4C23×D1711yescharacteristic
1677C22×C4C23×D1711yescharacteristic
1678C22×C4C23×D1711yescharacteristic
1679C22×C4C23×D1711yescharacteristic
1680C22×C4C23×D1711yescharacteristic
1681C22×C4C23×D1711yescharacteristic
1682C22×C4C23×D1711yescharacteristic
1683C22×C4C23×D1711yescharacteristic
1684C22×C4C23×D1711yescharacteristic
1685C22×C4C23×D1711yescharacteristic
1686C22×C4C23×D1711yescharacteristic
1687C4⋊C4—22no—
1688C4⋊C4—22no—
1689C4⋊C4—22no—
1690C4⋊C4—41no—
1691C4⋊C4—41no—
1692C4⋊C4—342no—
1693C4⋊C4—342no—
1694C4⋊C4—342no—
1695C4⋊C4—342no—
1696C4⋊C4—342no—
1697C4⋊C4—342no—
1698C4⋊C4—342no—
1699C4⋊C4—342no—
1700C4⋊C4—342no—
1701C4⋊C4—681no—
1702C4⋊C4—681no—
1703C4⋊C4—681no—
1704C4⋊C4—681no—
1705C4⋊C4—681no—
1706C4⋊C4—681no—
1707C22⋊C4—22no—
1708C22⋊C4—22no—
1709C22⋊C4—22no—
1710C22⋊C4—22no—
1711C22⋊C4—22no—
1712C22⋊C4—22no—
1713C22⋊C4—22no—
1714C22⋊C4—22no—
1715C22⋊C4—22no—
1716C22⋊C4—22no—
1717C22⋊C4—22no—
1718C22⋊C4—22no—
1719C22⋊C4—41no—
1720C22⋊C4—41no—
1721C22⋊C4—41no—
1722C22⋊C4—174no—
1723C22⋊C4—174no—
1724C22⋊C4—174no—
1725C22⋊C4—342no—
1726C22⋊C4—342no—
1727C22⋊C4—342no—
1728C22⋊C4—342no—
1729C22⋊C4—342no—
1730C22⋊C4—342no—
1731C22⋊C4—342no—
1732C22⋊C4—342no—
1733C22⋊C4—342no—
1734C22⋊C4—342no—
1735C22⋊C4—342no—
1736C22⋊C4—342no—
1737C22⋊C4—342no—
1738C22⋊C4—342no—
1739C22⋊C4—342no—
1740C22⋊C4—342no—
1741C22⋊C4—342no—
1742C22⋊C4—342no—
1743C22⋊C4—342no—
1744C22⋊C4—342no—
1745C22⋊C4—342no—
1746C22⋊C4—342no—
1747C22⋊C4—342no—
1748C22⋊C4—342no—
1749C22⋊C4—342no—
1750C22⋊C4—342no—
1751C22⋊C4—342no—
1752C22⋊C4—342no—
1753C22⋊C4—342no—
1754C22⋊C4—342no—
1755C22⋊C4—342no—
1756C22⋊C4—342no—
1757C22⋊C4—342no—
1758C22⋊C4—342no—
1759C22⋊C4—342no—
1760C22⋊C4—342no—
1761C22⋊C4—681no—
1762C22⋊C4—681no—
1763C22⋊C4—681no—
1764C22⋊C4—681no—
1765C22⋊C4—681no—
1766C22⋊C4—681no—
1767C22⋊C4—681no—
1768C22⋊C4—681no—
1769C22⋊C4—681no—
1770C22⋊C4D4×D1714yescomplemented
1771C42—22no—
1772C42—342no—
1773C42—342no—
1774C42—342no—
1775C23—21no—
1776C23—21no—
1777C23—21no—
1778C23—21no—
1779C23—28no—
1780C23—21no—
1781C23—21no—
1782C23—21no—
1783C23—21no—
1784C23—21no—
1785C23—21no—
1786C23—21no—
1787C23—21no—
1788C23—21no—
1789C23—21no—
1790C23—21no—
1791C23—21no—
1792C23—21no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—44no—
1799C23—44no—
1800C23—44no—
1801C23—44no—
1802C23—44no—
1803C23—44no—
1804C23—172no—
1805C23—172no—
1806C23—172no—
1807C23—172no—
1808C23—172no—
1809C23—172no—
1810C23—172no—
1811C23—1716no—
1812C23—172no—
1813C23—172no—
1814C23—172no—
1815C23—172no—
1816C23—172no—
1817C23—172no—
1818C23—348no—
1819C23—348no—
1820C23—348no—
1821C23—348no—
1822C23—348no—
1823C23—348no—
1824C23—348no—
1825C23—348no—
1826C23—348no—
1827C23—348no—
1828C23—348no—
1829C23—348no—
1830C23—348no—
1831C23—348no—
1832C23—348no—
1833C23—348no—
1834C23—348no—
1835C23—348no—
1836C23—341no—
1837C23—341no—
1838C23—341no—
1839C23—341no—
1840C23—341no—
1841C23—341no—
1842C23—341no—
1843C23—341no—
1844C23—341no—
1845C23—341no—
1846C23—341no—
1847C23—341no—
1848C23—341no—
1849C23—341no—
1850C23—341no—
1851C23—341no—
1852C23—341no—
1853C23—341no—
1854C23—341no—
1855C23—341no—
1856C23—341no—
1857C23—341no—
1858C23—684no—
1859C23—684no—
1860C23—684no—
1861C23—684no—
1862C23—684no—
1863C23—684no—
1864C23—684no—
1865C23—684no—
1866C23—684no—
1867C23—684no—
1868C23—684no—
1869C23—684no—
1870C23—684no—
1871C23—684no—
1872C23—684no—
1873C23—684no—
1874C23—684no—
1875C23—684no—
1876C23—684no—
1877C23—684no—
1878C23—684no—
1879C23—684no—
1880C23—684no—
1881C23—684no—
1882C23—684no—
1883C23—684no—
1884C23—684no—
1885C23—68128no—
1886C23—684no—
1887C23—684no—
1888C23—684no—
1889C23C2×D4×D1712yes—
1890C23C2×D4×D1712yes—
1891C23C2×D4×D1712yes—
1892C23#41×D1712yes—
1893C23#41×D1712yes—
1894C23#41×D1712yes—
1895C23C24×D1711yescharacteristic
1896D4—28no—
1897D4—44no—
1898D4—44no—
1899D4—348no—
1900D4—348no—
1901D4—348no—
1902D4—684no—
1903D4—684no—
1904D4—684no—
1905D4—684no—
1906D4—684no—
1907D4—684no—
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—21no—
1917C2×C4—21no—
1918C2×C4—21no—
1919C2×C4—21no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—44no—
1939C2×C4—44no—
1940C2×C4—44no—
1941C2×C4—172no—
1942C2×C4—172no—
1943C2×C4—172no—
1944C2×C4—348no—
1945C2×C4—348no—
1946C2×C4—348no—
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—341no—
1956C2×C4—341no—
1957C2×C4—341no—
1958C2×C4—341no—
1959C2×C4—341no—
1960C2×C4—341no—
1961C2×C4—341no—
1962C2×C4—341no—
1963C2×C4—341no—
1964C2×C4—341no—
1965C2×C4—341no—
1966C2×C4—341no—
1967C2×C4—341no—
1968C2×C4—341no—
1969C2×C4—341no—
1970C2×C4—341no—
1971C2×C4—341no—
1972C2×C4—341no—
1973C2×C4—341no—
1974C2×C4—341no—
1975C2×C4—341no—
1976C2×C4—341no—
1977C2×C4—684no—
1978C2×C4—684no—
1979C2×C4—684no—
1980C2×C4—684no—
1981C2×C4—684no—
1982C2×C4—684no—
1983C2×C4—684no—
1984C2×C4—684no—
1985C2×C4—684no—
1986C2×C4—684no—
1987C2×C4—684no—
1988C2×C4—684no—
1989C2×C4—684no—
1990C2×C4—684no—
1991C2×C4—684no—
1992C2×C4—684no—
1993C2×C4—684no—
1994C2×C4C2×D4×D1712yes—
1995C2×C4C2×D4×D1712yes—
1996C2×C4C2×D4×D1712yes—
1997C22—22no—
1998C22—22no—
1999C22—22no—
2000C22—22no—
2001C22—22no—
2002C22—22no—
2003C22—22no—
2004C22—22no—
2005C22—22no—
2006C22—22no—
2007C22—22no—
2008C22—22no—
2009C22—22no—
2010C22—22no—
2011C22—22no—
2012C22—416no—
2013C22—41no—
2014C22—41no—
2015C22—41no—
2016C22—41no—
2017C22—41no—
2018C22—41no—
2019C22—41no—
2020C22—41no—
2021C22—41no—
2022C22—41no—
2023C22—41no—
2024C22—41no—
2025C22—174no—
2026C22—174no—
2027C22—174no—
2028C22—174no—
2029C22—174no—
2030C22—174no—
2031C22—174no—
2032C22—174no—
2033C22—3432no—
2034C22—342no—
2035C22—342no—
2036C22—342no—
2037C22—342no—
2038C22—342no—
2039C22—342no—
2040C22—342no—
2041C22—342no—
2042C22—342no—
2043C22—342no—
2044C22—342no—
2045C22—342no—
2046C22—342no—
2047C22—342no—
2048C22—342no—
2049C22—6816no—
2050C22—6816no—
2051C22—6816no—
2052C22—6816no—
2053C22—6816no—
2054C22—6816no—
2055C22—681no—
2056C22—681no—
2057C22—681no—
2058C22—681no—
2059C22—681no—
2060C22—681no—
2061C22—681no—
2062C22—681no—
2063C22—681no—
2064C22—681no—
2065C22—681no—
2066C22—681no—
2067C22#123×D1714yescomplemented
2068C22C22×D4×D1711yescharacteristic
2069C22C22×D4×D1711yescharacteristic
2070C22C2×#41×D1711yescharacteristic
2071C22C2×#41×D1711yescharacteristic
2072C22C2×#41×D1711yescharacteristic
2073C22H(5,𝔽2)×D1711yescharacteristic
2074C22H(5,𝔽2)×D1711yescharacteristic
2075C4—22no—
2076C4—22no—
2077C4—22no—
2078C4—41no—
2079C4—41no—
2080C4—41no—
2081C4—41no—
2082C4—41no—
2083C4—41no—
2084C4—41no—
2085C4—41no—
2086C4—342no—
2087C4—342no—
2088C4—342no—
2089C4—681no—
2090C4—681no—
2091C4—681no—
2092C4—681no—
2093C4—681no—
2094C4—681no—
2095C4—681no—
2096C4—681no—
2097C2—24no—
2098C2—42no—
2099C2—42no—
2100C2—42no—
2101C2—178no—
2102C2—344no—
2103C2—682no—
2104C2—682no—
2105C2—682no—
2106C2C2×#123×D1711yescharacteristic
2107C2D17×#52511yescharacteristic
2108C2D17×#53811yescharacteristic
2109C2D42×D1711yescharacteristic
2110C2D17×#54611yescharacteristic
2111C2D17×#54611yescharacteristic
2112C2D17×#55111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2418C2
prime radicalC2×#120×D17C2
hypercenter#2418D17
hypocenterC17C2×#2418
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#123×D17C2semidirect
3. C2×C4×D4×D17C2semidirect
4. C22×C22⋊C4×D17C2semidirect
5. #14532253C2semidirect
6. #14532252C2semidirect
7. #14532251C2semidirect
8. #14532250C2semidirect
9. #14532249C2semidirect
10. #14532248C2semidirect
11. #14532247C2semidirect
12. #14532246C2semidirect
13. #14532245C2semidirect
14. #14532244C2semidirect
15. #14532243C2semidirect
16. #14532242C2semidirect
17. #14532241C2semidirect
18. #14532240C2semidirect
19. #14532239C2semidirect
20. D17×#399C2semidirect
21. D17×#397C2semidirect
22. D17×#394C2semidirect
23. D17×#394C2semidirect
24. D17×#388C2semidirect
25. D17×#388C2semidirect
26. D17×#386C2semidirect
27. D17×#386C2semidirect
28. D17×#385C2semidirect
29. D17×#380C2semidirect
30. D17×#379C2semidirect
31. C17×#2418C2semidirect
38. C23×C4×D17C22semidirect
39. C2×#10587580C22semidirect
40. C2×#10587580C22semidirect
41. C2×#10587572C22semidirect
42. C2×#10587615C22semidirect
43. C2×#10587569C22semidirect
44. C2×#10587569C22semidirect
45. C2×#10587621C22semidirect
55. C2×C4×D68C22semidirect
56. C2×D4×Dic17C22semidirect
57. C2×#10587579C22semidirect
58. C2×C4×C22⋊D17C22semidirect
59. C2×C4×C22⋊D17C22semidirect
60. C2×#10587567C22semidirect
61. C2×#10587567C22semidirect
63. C2×C4⋊C4×D17C22semidirect
64. C2×C4⋊C4×D17C22semidirect
65. C2×C4⋊C4×D17C22semidirect
66. C2×C4⋊C4×D17C22semidirect
67. C2×C4⋊C4×D17C22semidirect
68. C22×C22⋊Dic17C22semidirect
69. C22×#63227C22semidirect
70. C22×#63227C22semidirect
85. C2×C22⋊C4×D17C22semidirect
86. C2×C22⋊C4×D17C22semidirect
87. C2×C22⋊C4×D17C22semidirect
88. C2×C22⋊C4×D17C22semidirect
89. C2×C22⋊C4×D17C22semidirect
90. C2×C22⋊C4×D17C22semidirect
91. C2×C22⋊C4×D17C22semidirect
92. C2×C42×D17C22semidirect
93. #11762746C22semidirect
94. #11762745C22semidirect
95. #11762745C22semidirect
96. #11762745C22semidirect
97. #11762744C22semidirect
98. #11762744C22semidirect
99. #11762744C22semidirect
100. #11762738C22semidirect
101. #11762738C22semidirect
102. #11762737C22semidirect
103. #11762737C22semidirect
104. #11762736C22semidirect
105. #11762735C22semidirect
106. #11762734C22semidirect
107. #11762727C22semidirect
108. #11762727C22semidirect
109. #11762726C22semidirect
110. #11762726C22semidirect
111. #11762725C22semidirect
112. #11762725C22semidirect
113. #11762725C22semidirect
114. #11762725C22semidirect
115. #11762724C22semidirect
116. #11762724C22semidirect
117. #11762724C22semidirect
118. #11762724C22semidirect
119. #11762723C22semidirect
120. #11762723C22semidirect
121. #11762703C22semidirect
122. #11762703C22semidirect
123. #11762702C22semidirect
124. #11762702C22semidirect
125. #11762701C22semidirect
126. #11762701C22semidirect
127. #11762700C22semidirect
128. #11762700C22semidirect
129. #11762699C22semidirect
130. #11762699C22semidirect
131. #11762698C22semidirect
132. #11762698C22semidirect
133. #11762697C22semidirect
134. #11762697C22semidirect
135. #11762689C22semidirect
136. #11762689C22semidirect
137. #11762688C22semidirect
138. #11762688C22semidirect
139. #11762687C22semidirect
140. #11762687C22semidirect
141. #11762687C22semidirect
142. #11762687C22semidirect
143. #11762686C22semidirect
144. #11762686C22semidirect
145. #11762685C22semidirect
146. #11762685C22semidirect
147. #11762685C22semidirect
148. #11762685C22semidirect
149. #11762684C22semidirect
150. #11762683C22semidirect
151. #11762683C22semidirect
152. #11762682C22semidirect
153. #11762681C22semidirect
154. #11762680C22semidirect
155. #11762680C22semidirect
156. #11762669C22semidirect
157. #11762668C22semidirect
158. #11762668C22semidirect
159. #11762667C22semidirect
160. #11762667C22semidirect
161. #11762666C22semidirect
162. #11762666C22semidirect
163. #11762665C22semidirect
164. #11762664C22semidirect
165. #11762664C22semidirect
166. #11762664C22semidirect
167. #11762664C22semidirect
168. #11762664C22semidirect
169. #11762664C22semidirect
170. #95×D17C22semidirect
171. #95×D17C22semidirect
172. #95×D17C22semidirect
173. #95×D17C22semidirect
174. #95×D17C22semidirect
175. #95×D17C22semidirect
176. C2×C17×#123C22semidirect
178. C2×C4×D4×C17C22semidirect
179. C22×C22⋊C4×C17C22semidirect
180. C17×#399C22semidirect
181. C17×#397C22semidirect
182. C17×#394C22semidirect
183. C17×#394C22semidirect
184. C17×#388C22semidirect
185. C17×#388C22semidirect
186. C17×#386C22semidirect
187. C17×#386C22semidirect
188. C17×#385C22semidirect
189. C17×#380C22semidirect
190. C17×#379C22semidirect
211. C23×C4×C17C23semidirect
220. C23×Dic17C23semidirect
257. C22×C4×D17C23semidirect
258. C22×C4×D17C23semidirect
262. C2×C4⋊C4×C17C23semidirect
263. C2×C4⋊C4×C17C23semidirect
264. C2×C4⋊C4×C17C23semidirect
265. C2×C4⋊C4×C17C23semidirect
266. C2×C4⋊C4×C17C23semidirect
281. C2×C22⋊C4×C17C23semidirect
282. C2×C22⋊C4×C17C23semidirect
283. C2×C22⋊C4×C17C23semidirect
284. C2×C42×C17C23semidirect
300. C2×C22⋊Dic17C23semidirect
301. C2×C22⋊Dic17C23semidirect
302. C2×C22⋊Dic17C23semidirect
339. C2×#63227C23semidirect
340. C2×#63227C23semidirect
341. C2×#63227C23semidirect
342. C2×#63227C23semidirect
343. C2×#63227C23semidirect
344. C2×#63227C23semidirect
345. C2×C4⋊Dic17C23semidirect
346. C2×C4⋊Dic17C23semidirect
347. C2×C4⋊Dic17C23semidirect
348. C2×C4⋊Dic17C23semidirect
349. C2×C4⋊Dic17C23semidirect
350. C2×#63225C23semidirect
351. C2×#63225C23semidirect
352. C2×#63225C23semidirect
353. C2×#63225C23semidirect
354. C2×#63225C23semidirect
355. C2×#63225C23semidirect
356. C2×#63225C23semidirect
357. C2×#63225C23semidirect
358. C2×#63225C23semidirect
359. C2×#63225C23semidirect
360. C2×C4×Dic17C23semidirect
361. C2×C4×Dic17C23semidirect
362. C2×C4×Dic17C23semidirect
398. C22⋊C4×D17D4semidirect
401. C17×#95C23semidirect
402. C17×#95C23semidirect
403. C17×#95C23semidirect
404. C17×#95C23semidirect
405. C17×#95C23semidirect
406. C17×#95C23semidirect
407. #10587502C23semidirect
408. #10587502C23semidirect
409. #10587502C23semidirect
410. #10587502C23semidirect
411. #10587502C23semidirect
412. #10587502C23semidirect
413. #10587502C23semidirect
414. #10587502C23semidirect
415. #10587502C23semidirect
416. #10587502C23semidirect
417. #10587502C23semidirect
418. #10587502C23semidirect
419. #10587502C23semidirect
420. #10587502C23semidirect
421. #10587502C23semidirect
422. #10587502C23semidirect
423. #10587502C23semidirect
424. #10587502C23semidirect
650. C22⋊C4×C17C2×D4semidirect
667. C22⋊Dic17C2×D4semidirect
698. #63227C2×D4semidirect
699. #63227C2×D4semidirect
826. C22×D17#123semidirect
960. #2418D17direct (N × H)
1000. C22×C17C2×#123semidirect
1043. C2×D17C2×#123semidirect
1087. C2×#123C2×D17semidirect
1105. C2×C4×D4C2×D17semidirect
1135. C22×C22⋊C4C2×D17semidirect
1144. #399C2×D17semidirect
1152. #397C2×D17semidirect
1167. #394C2×D17semidirect
1168. #394C2×D17semidirect
1183. #388C2×D17semidirect
1184. #388C2×D17semidirect
1199. #386C2×D17semidirect
1200. #386C2×D17semidirect
1208. #385C2×D17semidirect
1216. #380C2×D17semidirect
1224. #379C2×D17semidirect
1246. D17#2418direct (N × H)
1314. C23×C4C22×D17semidirect
1359. C2×C4⋊C4C22×D17semidirect
1360. C2×C4⋊C4C22×D17semidirect
1361. C2×C4⋊C4C22×D17semidirect
1362. C2×C4⋊C4C22×D17semidirect
1363. C2×C4⋊C4C22×D17semidirect
1449. C2×C22⋊C4C22×D17semidirect
1450. C2×C22⋊C4C22×D17semidirect
1451. C2×C22⋊C4C22×D17semidirect
1456. C2×C42C22×D17semidirect
1475. #95C22×D17semidirect
1476. #95C22×D17semidirect
1477. #95C22×D17semidirect
1478. #95C22×D17semidirect
1479. #95C22×D17semidirect
1480. #95C22×D17semidirect
1481. C17C2×#2418semidirect
1770. C22⋊C4D4×D17semidirect
2067. C22#123×D17semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D172
C2×#120×D172
C2×C4×D4×D172
C22×C22⋊C4×D172
#145322532
#145322522
#145322512
#145322502
#145322492
#145322482
#145322472
#145322462
#145322452
#145322442
#145322432
#145322422
#145322412
#145322402
#145322392
D17×#3992
D17×#3972
D17×#3942
D17×#3882
D17×#3862
D17×#3852
D17×#3802
D17×#3792
C17×#24182
C2×#241817