Finite Group Databasebeta

← C17×#34446 #16892190

Subgroups — C17×#34446 #16892190

Order 4352.

2306 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C17×#538C211yesmaximal, characteristic
2C17×#2383C211yesmaximal, characteristic, complemented
3C17×#2377C211yesmaximal, characteristic, complemented
4C17×#2376C211yesmaximal, characteristic, complemented
5C17×#2375C211yesmaximal, characteristic, complemented
6C17×#2374C211yesmaximal, characteristic, complemented
7C17×#2373C211yesmaximal, characteristic, complemented
8C17×#2364C211yesmaximal, characteristic, complemented
9C17×#2363C211yesmaximal, characteristic, complemented
10C17×#2363C211yesmaximal, characteristic, complemented
11C17×#2359C211yesmaximal, characteristic, complemented
12C17×#2359C211yesmaximal, characteristic, complemented
13C17×#2358C211yesmaximal, characteristic, complemented
14C17×#2354C211yesmaximal, characteristic, complemented
15C17×#2353C211yesmaximal, characteristic, complemented
16C17×#2342C211yesmaximal, characteristic, complemented
17C17×#2342C211yesmaximal, characteristic, complemented
18C17×#2337C211yesmaximal, characteristic, complemented
19C17×#2337C211yesmaximal, characteristic, complemented
20C17×#2334C211yesmaximal, characteristic, complemented
21C17×#2332C211yesmaximal, characteristic, complemented
22C17×#2326C211yesmaximal, characteristic, complemented
23C17×#2325C211yesmaximal, characteristic, complemented
24C17×#2324C211yesmaximal, characteristic, complemented
25C17×#2323C211yesmaximal, characteristic, complemented
26C17×#2321C211yesmaximal, characteristic, complemented
27C17×#2321C211yesmaximal, characteristic, complemented
28C17×#2318C211yesmaximal, characteristic, complemented
29C4×C17×#126C211yesmaximal, characteristic, complemented
30C4×C17×#124C211yesmaximal, characteristic, complemented
31C17×#2293C211yesmaximal, characteristic, complemented
32C17×#538C4116yescomplemented
33C2×C17×#126C2211yescharacteristic
34C2×C17×#126C2211yescharacteristic
35C2×C17×#124C2211yescharacteristic
36C2×C17×#124C2211yescharacteristic
37C2×C17×#123C2211yescharacteristic
38C2×C17×#123C2211yescharacteristic
39C2×C17×C22⋊Q8C2211yescharacteristic
40C2×C17×#121C2211yescharacteristic
41C2×C17×#121C2211yescharacteristic
42C2×C17×#121C2211yescharacteristic
43C2×C17×#120C2211yescharacteristic
44C2×C17×#120C2211yescharacteristic
45C2×C4×Q8×C17C2211yescharacteristic, complemented
46C2×C4×D4×C17C2211yescharacteristic
47C2×C4×D4×C17C2211yescharacteristic
48C2×C4×D4×C17C2211yescharacteristic
49C2×C4×D4×C17C2211yescharacteristic
50C2×C4×D4×C17C2211yescharacteristic
51C2×C4×D4×C17C2211yescharacteristic
52C2×C4×D4×C17C2211yescharacteristic, complemented
53C2×C17×#117C2211yescharacteristic
54C2×C17×#117C2211yescharacteristic
55C2×C17×#117C2211yescharacteristic, complemented
56C2×C17×#117C2211yescharacteristic, complemented
57C22×C22⋊C4×C17C2211yescharacteristic
58C22×C22⋊C4×C17C2211yescharacteristic
59C22×C22⋊C4×C17C2211yescharacteristic
60C17×#391C2211yescharacteristic, complemented
61C17×#391C2211yescharacteristic, complemented
62C17×#391C2211yescharacteristic, complemented
63C17×#390C2211yescharacteristic
64C17×#390C2211yescharacteristic
65C17×#390C2211yescharacteristic
66C17×#390C2211yescharacteristic
67C17×#390C2211yescharacteristic
68C17×#390C2211yescharacteristic
69C17×#390C2211yescharacteristic
70C17×#390C2211yescharacteristic
71C17×#390C2211yescharacteristic, complemented
72C17×#389C2211yescharacteristic, complemented
73C17×#389C2211yescharacteristic, complemented
74C17×#389C2211yescharacteristic, complemented
75C17×#389C2211yescharacteristic, complemented
76C17×#389C2211yescharacteristic, complemented
77C17×#389C2211yescharacteristic, complemented
78C17×#388C2211yescharacteristic
79C17×#388C2211yescharacteristic
80C17×#388C2211yescharacteristic
81C17×#388C2211yescharacteristic
82C17×#388C2211yescharacteristic
83C17×#388C2211yescharacteristic
84C17×#388C2211yescharacteristic
85C17×#388C2211yescharacteristic
86C17×#388C2211yescharacteristic
87C17×#388C2211yescharacteristic
88C17×#388C2211yescharacteristic
89C17×#388C2211yescharacteristic
90C17×#388C2211yescharacteristic
91C17×#388C2211yescharacteristic
92C17×#388C2211yescharacteristic
93C17×#388C2211yescharacteristic
94C17×#388C2211yescharacteristic
95C17×#388C2211yescharacteristic
96C17×#388C2211yescharacteristic
97C17×#388C2211yescharacteristic
98C17×#388C2211yescharacteristic
99C17×#388C2211yescharacteristic
100C17×#388C2211yescharacteristic
101C17×#388C2211yescharacteristic
102C17×#388C2211yescharacteristic, complemented
103C17×#388C2211yescharacteristic, complemented
104C17×#388C2211yescharacteristic, complemented
105C17×#388C2211yescharacteristic, complemented
106C17×#388C2211yescharacteristic, complemented
107C17×#388C2211yescharacteristic, complemented
108C17×#388C2211yescharacteristic, complemented
109C17×#388C2211yescharacteristic, complemented
110C17×#387C2211yescharacteristic, complemented
111C17×#387C2211yescharacteristic, complemented
112C17×#387C2211yescharacteristic, complemented
113C17×#387C2211yescharacteristic, complemented
114C17×#387C2211yescharacteristic, complemented
115C17×#387C2211yescharacteristic, complemented
116C17×#387C2211yescharacteristic, complemented
117C17×#387C2211yescharacteristic, complemented
118C17×#387C2211yescharacteristic, complemented
119C17×#387C2211yescharacteristic, complemented
120C17×#387C2211yescharacteristic, complemented
121C17×#387C2211yescharacteristic, complemented
122C17×#386C2211yescharacteristic
123C17×#386C2211yescharacteristic
124C17×#386C2211yescharacteristic
125C17×#386C2211yescharacteristic
126C17×#386C2211yescharacteristic
127C17×#386C2211yescharacteristic
128C17×#386C2211yescharacteristic
129C17×#386C2211yescharacteristic
130C17×#386C2211yescharacteristic
131C17×#386C2211yescharacteristic
132C17×#386C2211yescharacteristic
133C17×#386C2211yescharacteristic
134C17×#386C2211yescharacteristic, complemented
135C17×#386C2211yescharacteristic, complemented
136C17×#385C2211yescharacteristic
137C17×#385C2211yescharacteristic
138C17×#385C2211yescharacteristic
139C17×#385C2211yescharacteristic
140C17×#385C2211yescharacteristic
141C17×#385C2211yescharacteristic
142C17×#385C2211yescharacteristic
143C17×#385C2211yescharacteristic
144C17×#385C2211yescharacteristic, complemented
145C17×#385C2211yescharacteristic, complemented
146C17×#385C2211yescharacteristic, complemented
147C17×#385C2211yescharacteristic, complemented
148C17×#384C2211yescharacteristic, complemented
149C17×#383C2211yescharacteristic, complemented
150C17×#383C2211yescharacteristic, complemented
151C17×#382C2211yescharacteristic, complemented
152C17×#381C2211yescharacteristic
153C17×#381C2211yescharacteristic
154C17×#380C2211yescharacteristic
155C17×#380C2211yescharacteristic
156C17×#380C2211yescharacteristic, complemented
157C17×#380C2211yescharacteristic, complemented
158C17×#379C2211yescharacteristic
159C17×#379C2211yescharacteristic
160C4×C4⋊C4×C17C2211yescharacteristic, complemented
161C4×C4⋊C4×C17C2211yescharacteristic, complemented
162C4×C4⋊C4×C17C2211yescharacteristic, complemented
163C4×C4⋊C4×C17C2211yescharacteristic, complemented
164C4×C4⋊C4×C17C2211yescharacteristic, complemented
165C4×C4⋊C4×C17C2211yescharacteristic, complemented
166C4×C4⋊C4×C17C2211yescharacteristic, complemented
167C4×C4⋊C4×C17C2211yescharacteristic, complemented
168C4×C22⋊C4×C17C2211yescharacteristic
169C4×C22⋊C4×C17C2211yescharacteristic
170C4×C22⋊C4×C17C2211yescharacteristic
171C4×C22⋊C4×C17C2211yescharacteristic
172C4×C22⋊C4×C17C2211yescharacteristic
173C4×C22⋊C4×C17C2211yescharacteristic
174C4×C22⋊C4×C17C2211yescharacteristic
175C4×C22⋊C4×C17C2211yescharacteristic
176C4×C22⋊C4×C17C2211yescharacteristic
177C4×C22⋊C4×C17C2211yescharacteristic
178C4×C22⋊C4×C17C2211yescharacteristic, complemented
179C4×C22⋊C4×C17C2211yescharacteristic, complemented
180C4×C22⋊C4×C17C2211yescharacteristic, complemented
181C4×C22⋊C4×C17C2211yescharacteristic, complemented
182C4×C22⋊C4×C17C2211yescharacteristic, complemented
183C4×C22⋊C4×C17C2211yescharacteristic, complemented
184C17×#376C2211yescharacteristic, complemented
185C2×C17×#95C2211yescharacteristic, complemented
186C2×C17×#95C2211yescharacteristic, complemented
187C43×C17C2211yescharacteristic, complemented
188C25×C17C2311yescharacteristic
189C22×Q8×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C23×C4×C17C2311yescharacteristic
203C23×C4×C17C2311yescharacteristic
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C23×C4×C17C2311yescharacteristic
209C17×#126C2×C418yescomplemented
210C17×#126C2×C418yescomplemented
211C17×#124C2×C418yescomplemented
212C17×#124C2×C418yescomplemented
213C17×#123C2×C418yescomplemented
214C17×#123C2×C418yescomplemented
215C17×C22⋊Q8C2×C418yescomplemented
216C17×#121C2×C418yescomplemented
217C17×#121C2×C418yescomplemented
218C17×#121C2×C418yescomplemented
219C17×#120C2×C418yescomplemented
220C17×#120C2×C418yescomplemented
221C4×Q8×C17—42no—
222C4×D4×C17—42no—
223C4×D4×C17—42no—
224C4×D4×C17—42no—
225C4×D4×C17—42no—
226C4×D4×C17—42no—
227C4×D4×C17C2×C418yescomplemented
228C4×D4×C17C2×C418yescomplemented
229C17×#117—42no—
230C17×#117—42no—
231C17×#117—42no—
232C17×#117—42no—
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×C4⋊C4×C17C2311yescharacteristic
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C4⋊C4×C17C2311yescharacteristic
240C2×C4⋊C4×C17C2311yescharacteristic
241C2×C4⋊C4×C17C2311yescharacteristic
242C2×C4⋊C4×C17C2311yescharacteristic
243C2×C4⋊C4×C17C2311yescharacteristic
244C2×C4⋊C4×C17C2311yescharacteristic
245C2×C4⋊C4×C17C2311yescharacteristic
246C2×C4⋊C4×C17C2311yescharacteristic
247C2×C4⋊C4×C17C2311yescharacteristic
248C2×C4⋊C4×C17C2311yescharacteristic
249C2×C4⋊C4×C17C2311yescharacteristic
250C2×C4⋊C4×C17C2311yescharacteristic
251C2×C4⋊C4×C17C2311yescharacteristic
252C2×C4⋊C4×C17C2311yescharacteristic
253C2×C4⋊C4×C17C2311yescharacteristic
254C2×C4⋊C4×C17C2311yescharacteristic
255C2×C4⋊C4×C17C2311yescharacteristic
256C2×C4⋊C4×C17C2311yescharacteristic
257C2×C4⋊C4×C17C2311yescharacteristic
258C2×C4⋊C4×C17C2311yescharacteristic
259C2×C22⋊C4×C17—42no—
260C2×C22⋊C4×C17—42no—
261C2×C22⋊C4×C17C2×C418yescomplemented
262C2×C22⋊C4×C17C2311yescharacteristic
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
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
282C2×C22⋊C4×C17C2311yescharacteristic
283C2×C22⋊C4×C17C2311yescharacteristic
284C2×C22⋊C4×C17C2311yescharacteristic
285C2×C22⋊C4×C17C2311yescharacteristic
286C2×C22⋊C4×C17C2311yescharacteristic
287C2×C22⋊C4×C17C2311yescharacteristic
288C2×C22⋊C4×C17C2311yescharacteristic
289C2×C22⋊C4×C17C2311yescharacteristic
290C2×C22⋊C4×C17C2311yescharacteristic
291C2×C22⋊C4×C17C2311yescharacteristic
292C2×C22⋊C4×C17C2311yescharacteristic
293C2×C22⋊C4×C17C2311yescharacteristic
294C2×C22⋊C4×C17C2311yescharacteristic
295C2×C22⋊C4×C17C2311yescharacteristic
296C2×C22⋊C4×C17C2311yescharacteristic
297C2×C22⋊C4×C17C2311yescharacteristic
298C2×C22⋊C4×C17C2311yescharacteristic
299C2×C22⋊C4×C17C2311yescharacteristic
300C2×C22⋊C4×C17C2311yescharacteristic
301C2×C22⋊C4×C17C2311yescharacteristic
302C2×C22⋊C4×C17C2311yescharacteristic
303C2×C22⋊C4×C17C2311yescharacteristic
304C2×C22⋊C4×C17C2311yescharacteristic
305C2×C22⋊C4×C17C2311yescharacteristic
306C2×C22⋊C4×C17C2311yescharacteristic
307C2×C22⋊C4×C17C2311yescharacteristic
308C2×C42×C17C2311yescharacteristic
309C2×C42×C17C2311yescharacteristic
310C2×C42×C17C2311yescharacteristic
311C2×C42×C17C2311yescharacteristic
312C2×C42×C17C2311yescharacteristic
313C2×C42×C17C2311yescharacteristic
314C2×C42×C17C2311yescharacteristic
315C2×C42×C17C2311yescharacteristic
316C2×C42×C17C2311yescharacteristic
317C2×C42×C17C2311yescharacteristic
318C2×C42×C17C2311yescharacteristic
319C2×C42×C17C2311yescharacteristic
320C2×C42×C17C2311yescharacteristic
321C2×C42×C17C2311yescharacteristic
322C2×C42×C17C2311yescharacteristic
323C2×C42×C17C2311yescharacteristic
324C2×C42×C17C2311yescharacteristic
325C2×C42×C17C2311yescharacteristic
326C2×C42×C17C2311yescharacteristic
327C2×C42×C17C2311yescharacteristic
328C2×C42×C17C2311yescharacteristic
329C2×C42×C17C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C17×#95C2311yescharacteristic
364C17×#95C2311yescharacteristic
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
367C17×#95C2311yescharacteristic
368C17×#95C2311yescharacteristic
369C17×#95C2311yescharacteristic
370C24×C17—41no—
371C24×C17—41no—
372C24×C17—41no—
373C24×C17—41no—
374C24×C17—41no—
375C24×C17—41no—
376C24×C17C22×C414yes—
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C24×C17C2411yescharacteristic
380C24×C17C2411yescharacteristic
381C24×C17C2411yescharacteristic
382C2×Q8×C17—41no—
383C2×Q8×C17—41no—
384C2×Q8×C17C22×C414yes—
385C2×D4×C17—41no—
386C2×D4×C17—41no—
387C2×D4×C17—41no—
388C2×D4×C17—41no—
389C2×D4×C17—41no—
390C2×D4×C17—41no—
391C2×D4×C17—41no—
392C2×D4×C17—41no—
393C2×D4×C17—41no—
394C2×D4×C17—41no—
395C2×D4×C17—41no—
396C2×D4×C17—41no—
397C2×D4×C17—41no—
398C2×D4×C17—41no—
399C2×D4×C17C22×C414yes—
400C2×D4×C17C22×C414yes—
401C2×D4×C17C22×C414yes—
402C2×D4×C17C22×C414yes—
403C2×D4×C17C22×C414yes—
404C2×D4×C17C22×C414yes—
405C2×D4×C17C22×C414yes—
406C22×C4×C17—22no—
407C22×C4×C17—22no—
408C22×C4×C17—22no—
409C22×C4×C17—41no—
410C22×C4×C17—41no—
411C22×C4×C17—41no—
412C22×C4×C17—41no—
413C22×C4×C17—41no—
414C22×C4×C17—41no—
415C22×C4×C17—41no—
416C22×C4×C17—41no—
417C22×C4×C17—41no—
418C22×C4×C17—41no—
419C22×C4×C17—41no—
420C22×C4×C17—41no—
421C22×C4×C17—41no—
422C22×C4×C17—41no—
423C22×C4×C17—41no—
424C22×C4×C17—41no—
425C22×C4×C17—41no—
426C22×C4×C17—41no—
427C22×C4×C17—41no—
428C22×C4×C17—41no—
429C22×C4×C17—41no—
430C22×C4×C17—41no—
431C22×C4×C17—41no—
432C22×C4×C17—41no—
433C22×C4×C17—41no—
434C22×C4×C17—41no—
435C22×C4×C17—41no—
436C22×C4×C17—41no—
437C22×C4×C17—41no—
438C22×C4×C17C22×C414yes—
439C22×C4×C17C22×C414yes—
440C22×C4×C17C22×C414yes—
441C22×C4×C17C22×C414yes—
442C22×C4×C17C2411yescharacteristic
443C22×C4×C17C2411yescharacteristic
444C22×C4×C17C2411yescharacteristic
445C22×C4×C17C2411yescharacteristic
446C22×C4×C17C2411yescharacteristic
447C22×C4×C17C2411yescharacteristic
448C22×C4×C17C2411yescharacteristic
449C22×C4×C17C2411yescharacteristic
450C22×C4×C17C2411yescharacteristic
451C22×C4×C17C2411yescharacteristic
452C22×C4×C17C2411yescharacteristic
453C22×C4×C17C2411yescharacteristic
454C22×C4×C17C2411yescharacteristic
455C22×C4×C17C2411yescharacteristic
456C22×C4×C17C2411yescharacteristic
457C22×C4×C17C2411yescharacteristic
458C22×C4×C17C2411yescharacteristic
459C22×C4×C17C2411yescharacteristic
460C22×C4×C17C2411yescharacteristic
461C22×C4×C17C2411yescharacteristic
462C22×C4×C17C2411yescharacteristic
463C22×C4×C17C2411yescharacteristic
464C22×C4×C17C2411yescharacteristic
465C22×C4×C17C2411yescharacteristic
466C22×C4×C17C2411yescharacteristic
467C22×C4×C17C2411yescharacteristic
468C4⋊C4×C17—22no—
469C4⋊C4×C17—22no—
470C4⋊C4×C17—22no—
471C4⋊C4×C17—41no—
472C4⋊C4×C17—41no—
473C4⋊C4×C17—41no—
474C4⋊C4×C17—41no—
475C4⋊C4×C17—41no—
476C4⋊C4×C17—41no—
477C4⋊C4×C17—41no—
478C4⋊C4×C17—41no—
479C4⋊C4×C17—41no—
480C4⋊C4×C17—41no—
481C4⋊C4×C17—41no—
482C4⋊C4×C17—41no—
483C4⋊C4×C17—41no—
484C4⋊C4×C17—41no—
485C4⋊C4×C17—41no—
486C4⋊C4×C17—41no—
487C4⋊C4×C17—41no—
488C4⋊C4×C17C22×C414yes—
489C4⋊C4×C17C22×C414yes—
490C4⋊C4×C17C22×C414yes—
491C4⋊C4×C17C22×C414yes—
492C4⋊C4×C17C22×C414yes—
493C4⋊C4×C17C22×C414yes—
494C22⋊C4×C17—22no—
495C22⋊C4×C17—22no—
496C22⋊C4×C17—22no—
497C22⋊C4×C17—22no—
498C22⋊C4×C17—22no—
499C22⋊C4×C17—22no—
500C22⋊C4×C17—22no—
501C22⋊C4×C17—41no—
502C22⋊C4×C17—41no—
503C22⋊C4×C17—41no—
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×C17—41no—
513C22⋊C4×C17—41no—
514C22⋊C4×C17—41no—
515C22⋊C4×C17—41no—
516C22⋊C4×C17—41no—
517C22⋊C4×C17—41no—
518C22⋊C4×C17—41no—
519C22⋊C4×C17—41no—
520C22⋊C4×C17—41no—
521C22⋊C4×C17—41no—
522C22⋊C4×C17—41no—
523C22⋊C4×C17—41no—
524C22⋊C4×C17—41no—
525C22⋊C4×C17—41no—
526C22⋊C4×C17C22×C414yes—
527C22⋊C4×C17C22×C414yes—
528C22⋊C4×C17C22×C414yes—
529C22⋊C4×C17C22×C414yes—
530C22⋊C4×C17C22×C414yes—
531C22⋊C4×C17C22×C414yes—
532C22⋊C4×C17C22×C414yes—
533C22⋊C4×C17C22×C414yes—
534C22⋊C4×C17C22×C414yes—
535C22⋊C4×C17C22×C414yes—
536C22⋊C4×C17C22×C414yes—
537C22⋊C4×C17C22×C414yes—
538C22⋊C4×C17C22×C414yes—
539C22⋊C4×C17C22×C414yes—
540C42×C17—22no—
541C42×C17—22no—
542C42×C17—22no—
543C42×C17—22no—
544C42×C17—22no—
545C42×C17—41no—
546C42×C17—41no—
547C42×C17—41no—
548C42×C17—41no—
549C42×C17—41no—
550C42×C17—41no—
551C42×C17—41no—
552C42×C17—41no—
553C42×C17—41no—
554C42×C17—41no—
555C42×C17—41no—
556C42×C17—41no—
557C42×C17—41no—
558C42×C17—41no—
559C42×C17—41no—
560C42×C17C22×C414yes—
561C42×C17C22×C414yes—
562#34446C1711yesmaximal, characteristic, direct product factor, Sylow
563C23×C17—21no—
564C23×C17—21no—
565C23×C17—21no—
566C23×C17—21no—
567C23×C17—21no—
568C23×C17—21no—
569C23×C17—21no—
570C23×C17—21no—
571C23×C17—21no—
572C23×C17—21no—
573C23×C17—21no—
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17—21no—
578C23×C17—21no—
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17—21no—
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—44no—
594C23×C17—44no—
595C23×C17—44no—
596C23×C17—82no—
597C23×C17—82no—
598C23×C17—82no—
599C23×C17—82no—
600C23×C17C23×C412yes—
601C23×C17C23×C412yes—
602C23×C17C23×C412yes—
603C23×C17C23×C412yes—
604C23×C17C23×C412yes—
605C23×C17C2511yescharacteristic
606Q8×C17—44no—
607D4×C17—44no—
608D4×C17—44no—
609D4×C17—44no—
610D4×C17—44no—
611D4×C17—44no—
612D4×C17—44no—
613D4×C17—44no—
614C2×C4×C17—21no—
615C2×C4×C17—21no—
616C2×C4×C17—21no—
617C2×C4×C17—21no—
618C2×C4×C17—21no—
619C2×C4×C17—21no—
620C2×C4×C17—21no—
621C2×C4×C17—21no—
622C2×C4×C17—21no—
623C2×C4×C17—21no—
624C2×C4×C17—21no—
625C2×C4×C17—21no—
626C2×C4×C17—21no—
627C2×C4×C17—21no—
628C2×C4×C17—21no—
629C2×C4×C17—21no—
630C2×C4×C17—21no—
631C2×C4×C17—21no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—44no—
681C2×C4×C17—44no—
682C2×C4×C17—44no—
683C2×C4×C17—44no—
684C2×C4×C17—82no—
685C2×C4×C17—82no—
686C2×C4×C17—82no—
687C2×C4×C17—82no—
688C2×C4×C17—82no—
689C2×C4×C17—82no—
690C2×C4×C17—82no—
691C2×C4×C17—82no—
692C2×C4×C17C23×C412yes—
693C2×C4×C17C23×C412yes—
694C2×C4×C17C23×C412yes—
695C2×C4×C17C23×C412yes—
696C2×C4×C17C23×C412yes—
697C2×C4×C17C23×C412yes—
698C2×C4×C17C23×C412yes—
699C2×C4×C17C23×C412yes—
700C2×C4×C17C23×C412yes—
701C2×C4×C17C23×C412yes—
702C2×C4×C17H(5,𝔽2)12yes—
703C2×C4×C17H(5,𝔽2)12yes—
704C2×#538C2×C1711yescharacteristic
705#2383C2×C1711yescharacteristic, complemented
706#2377C2×C1711yescharacteristic, complemented
707#2376C2×C1711yescharacteristic, complemented
708#2375C2×C1711yescharacteristic, complemented
709#2374C2×C1711yescharacteristic, complemented
710#2373C2×C1711yescharacteristic, complemented
711#2364C2×C1711yescharacteristic, complemented
712#2363C2×C1711yescharacteristic, complemented
713#2363C2×C1711yescharacteristic, complemented
714#2359C2×C1711yescharacteristic, complemented
715#2359C2×C1711yescharacteristic, complemented
716#2358C2×C1711yescharacteristic, complemented
717#2354C2×C1711yescharacteristic, complemented
718#2353C2×C1711yescharacteristic, complemented
719#2342C2×C1711yescharacteristic, complemented
720#2342C2×C1711yescharacteristic, complemented
721#2337C2×C1711yescharacteristic, complemented
722#2337C2×C1711yescharacteristic, complemented
723#2334C2×C1711yescharacteristic, complemented
724#2332C2×C1711yescharacteristic, complemented
725#2326C2×C1711yescharacteristic, complemented
726#2325C2×C1711yescharacteristic, complemented
727#2324C2×C1711yescharacteristic, complemented
728#2323C2×C1711yescharacteristic, complemented
729#2321C2×C1711yescharacteristic, complemented
730#2321C2×C1711yescharacteristic, complemented
731#2318C2×C1711yescharacteristic, complemented
732C4×#126C2×C1711yescharacteristic, complemented
733C4×#124C2×C1711yescharacteristic, complemented
734#2293C2×C1711yescharacteristic, complemented
735C22×C17—22no—
736C22×C17—22no—
737C22×C17—22no—
738C22×C17—22no—
739C22×C17—22no—
740C22×C17—22no—
741C22×C17—22no—
742C22×C17—22no—
743C22×C17—22no—
744C22×C17—22no—
745C22×C17—22no—
746C22×C17—22no—
747C22×C17—22no—
748C22×C17—22no—
749C22×C17—22no—
750C22×C17—41no—
751C22×C17—41no—
752C22×C17—41no—
753C22×C17—41no—
754C22×C17—41no—
755C22×C17—41no—
756C22×C17—41no—
757C22×C17—41no—
758C22×C17—41no—
759C22×C17—41no—
760C22×C17—41no—
761C22×C17—41no—
762C22×C17—41no—
763C22×C17—41no—
764C22×C17—41no—
765C22×C17—41no—
766C22×C17—41no—
767C22×C17—41no—
768C22×C17—41no—
769C22×C17—41no—
770C22×C17—88no—
771C22×C17C24×C411yescharacteristic
772C22×C17C2×H(5,𝔽2)11yescharacteristic
773C22×C17C2×H(5,𝔽2)11yescharacteristic
774C22×C17#58511yescharacteristic
775C22×C17#58511yescharacteristic
776C22×C17#58511yescharacteristic
777C22×C17#58511yescharacteristic
778C4×C17—22no—
779C4×C17—22no—
780C4×C17—22no—
781C4×C17—22no—
782C4×C17—22no—
783C4×C17—22no—
784C4×C17—22no—
785C4×C17—22no—
786C4×C17—22no—
787C4×C17—22no—
788C4×C17—22no—
789C4×C17—22no—
790C4×C17—41no—
791C4×C17—41no—
792C4×C17—41no—
793C4×C17—41no—
794C4×C17—41no—
795C4×C17—41no—
796C4×C17—41no—
797C4×C17—41no—
798C4×C17—41no—
799C4×C17—41no—
800C4×C17—41no—
801C4×C17—41no—
802C4×C17—41no—
803C4×C17—41no—
804#538C4×C17116yescomplemented
805C2×#126C22×C1711yescharacteristic
806C2×#126C22×C1711yescharacteristic
807C2×#124C22×C1711yescharacteristic
808C2×#124C22×C1711yescharacteristic
809C2×#123C22×C1711yescharacteristic
810C2×#123C22×C1711yescharacteristic
811C2×C22⋊Q8C22×C1711yescharacteristic
812C2×#121C22×C1711yescharacteristic
813C2×#121C22×C1711yescharacteristic
814C2×#121C22×C1711yescharacteristic
815C2×#120C22×C1711yescharacteristic
816C2×#120C22×C1711yescharacteristic
817C2×C4×Q8C22×C1711yescharacteristic, complemented
818C2×C4×D4C22×C1711yescharacteristic
819C2×C4×D4C22×C1711yescharacteristic
820C2×C4×D4C22×C1711yescharacteristic
821C2×C4×D4C22×C1711yescharacteristic
822C2×C4×D4C22×C1711yescharacteristic
823C2×C4×D4C22×C1711yescharacteristic
824C2×C4×D4C22×C1711yescharacteristic, complemented
825C2×#117C22×C1711yescharacteristic
826C2×#117C22×C1711yescharacteristic
827C2×#117C22×C1711yescharacteristic, complemented
828C2×#117C22×C1711yescharacteristic, complemented
829C22×C22⋊C4C22×C1711yescharacteristic
830C22×C22⋊C4C22×C1711yescharacteristic
831C22×C22⋊C4C22×C1711yescharacteristic
832#391C22×C1711yescharacteristic, complemented
833#391C22×C1711yescharacteristic, complemented
834#391C22×C1711yescharacteristic, complemented
835#390C22×C1711yescharacteristic
836#390C22×C1711yescharacteristic
837#390C22×C1711yescharacteristic
838#390C22×C1711yescharacteristic
839#390C22×C1711yescharacteristic
840#390C22×C1711yescharacteristic
841#390C22×C1711yescharacteristic
842#390C22×C1711yescharacteristic
843#390C22×C1711yescharacteristic, complemented
844#389C22×C1711yescharacteristic, complemented
845#389C22×C1711yescharacteristic, complemented
846#389C22×C1711yescharacteristic, complemented
847#389C22×C1711yescharacteristic, complemented
848#389C22×C1711yescharacteristic, complemented
849#389C22×C1711yescharacteristic, complemented
850#388C22×C1711yescharacteristic
851#388C22×C1711yescharacteristic
852#388C22×C1711yescharacteristic
853#388C22×C1711yescharacteristic
854#388C22×C1711yescharacteristic
855#388C22×C1711yescharacteristic
856#388C22×C1711yescharacteristic
857#388C22×C1711yescharacteristic
858#388C22×C1711yescharacteristic
859#388C22×C1711yescharacteristic
860#388C22×C1711yescharacteristic
861#388C22×C1711yescharacteristic
862#388C22×C1711yescharacteristic
863#388C22×C1711yescharacteristic
864#388C22×C1711yescharacteristic
865#388C22×C1711yescharacteristic
866#388C22×C1711yescharacteristic
867#388C22×C1711yescharacteristic
868#388C22×C1711yescharacteristic
869#388C22×C1711yescharacteristic
870#388C22×C1711yescharacteristic
871#388C22×C1711yescharacteristic
872#388C22×C1711yescharacteristic
873#388C22×C1711yescharacteristic
874#388C22×C1711yescharacteristic, complemented
875#388C22×C1711yescharacteristic, complemented
876#388C22×C1711yescharacteristic, complemented
877#388C22×C1711yescharacteristic, complemented
878#388C22×C1711yescharacteristic, complemented
879#388C22×C1711yescharacteristic, complemented
880#388C22×C1711yescharacteristic, complemented
881#388C22×C1711yescharacteristic, complemented
882#387C22×C1711yescharacteristic, complemented
883#387C22×C1711yescharacteristic, complemented
884#387C22×C1711yescharacteristic, complemented
885#387C22×C1711yescharacteristic, complemented
886#387C22×C1711yescharacteristic, complemented
887#387C22×C1711yescharacteristic, complemented
888#387C22×C1711yescharacteristic, complemented
889#387C22×C1711yescharacteristic, complemented
890#387C22×C1711yescharacteristic, complemented
891#387C22×C1711yescharacteristic, complemented
892#387C22×C1711yescharacteristic, complemented
893#387C22×C1711yescharacteristic, complemented
894#386C22×C1711yescharacteristic
895#386C22×C1711yescharacteristic
896#386C22×C1711yescharacteristic
897#386C22×C1711yescharacteristic
898#386C22×C1711yescharacteristic
899#386C22×C1711yescharacteristic
900#386C22×C1711yescharacteristic
901#386C22×C1711yescharacteristic
902#386C22×C1711yescharacteristic
903#386C22×C1711yescharacteristic
904#386C22×C1711yescharacteristic
905#386C22×C1711yescharacteristic
906#386C22×C1711yescharacteristic, complemented
907#386C22×C1711yescharacteristic, complemented
908#385C22×C1711yescharacteristic
909#385C22×C1711yescharacteristic
910#385C22×C1711yescharacteristic
911#385C22×C1711yescharacteristic
912#385C22×C1711yescharacteristic
913#385C22×C1711yescharacteristic
914#385C22×C1711yescharacteristic
915#385C22×C1711yescharacteristic
916#385C22×C1711yescharacteristic, complemented
917#385C22×C1711yescharacteristic, complemented
918#385C22×C1711yescharacteristic, complemented
919#385C22×C1711yescharacteristic, complemented
920#384C22×C1711yescharacteristic, complemented
921#383C22×C1711yescharacteristic, complemented
922#383C22×C1711yescharacteristic, complemented
923#382C22×C1711yescharacteristic, complemented
924#381C22×C1711yescharacteristic
925#381C22×C1711yescharacteristic
926#380C22×C1711yescharacteristic
927#380C22×C1711yescharacteristic
928#380C22×C1711yescharacteristic, complemented
929#380C22×C1711yescharacteristic, complemented
930#379C22×C1711yescharacteristic
931#379C22×C1711yescharacteristic
932C4×C4⋊C4C22×C1711yescharacteristic, complemented
933C4×C4⋊C4C22×C1711yescharacteristic, complemented
934C4×C4⋊C4C22×C1711yescharacteristic, complemented
935C4×C4⋊C4C22×C1711yescharacteristic, complemented
936C4×C4⋊C4C22×C1711yescharacteristic, complemented
937C4×C4⋊C4C22×C1711yescharacteristic, complemented
938C4×C4⋊C4C22×C1711yescharacteristic, complemented
939C4×C4⋊C4C22×C1711yescharacteristic, complemented
940C4×C22⋊C4C22×C1711yescharacteristic
941C4×C22⋊C4C22×C1711yescharacteristic
942C4×C22⋊C4C22×C1711yescharacteristic
943C4×C22⋊C4C22×C1711yescharacteristic
944C4×C22⋊C4C22×C1711yescharacteristic
945C4×C22⋊C4C22×C1711yescharacteristic
946C4×C22⋊C4C22×C1711yescharacteristic
947C4×C22⋊C4C22×C1711yescharacteristic
948C4×C22⋊C4C22×C1711yescharacteristic
949C4×C22⋊C4C22×C1711yescharacteristic
950C4×C22⋊C4C22×C1711yescharacteristic, complemented
951C4×C22⋊C4C22×C1711yescharacteristic, complemented
952C4×C22⋊C4C22×C1711yescharacteristic, complemented
953C4×C22⋊C4C22×C1711yescharacteristic, complemented
954C4×C22⋊C4C22×C1711yescharacteristic, complemented
955C4×C22⋊C4C22×C1711yescharacteristic, complemented
956#376C22×C1711yescharacteristic, complemented
957C2×#95C22×C1711yescharacteristic, complemented
958C2×#95C22×C1711yescharacteristic, complemented
959C43C22×C1711yescharacteristic, complemented
960C2×C17—42no—
961C2×C17—42no—
962C2×C17—42no—
963C2×C17—42no—
964C2×C17—42no—
965C2×C17#342811yescharacteristic
966C2×C17C4×H(5,𝔽2)11yescharacteristic
967C2×C17C4×H(5,𝔽2)11yescharacteristic
968C2×C17#354511yescharacteristic
969C2×C17#354611yescharacteristic
970C2×C17#356011yescharacteristic
971C2×C17#356611yescharacteristic
972C25C23×C1711yescharacteristic
973C22×Q8C23×C1711yescharacteristic
974C22×D4C23×C1711yescharacteristic
975C22×D4C23×C1711yescharacteristic
976C22×D4C23×C1711yescharacteristic
977C22×D4C23×C1711yescharacteristic
978C22×D4C23×C1711yescharacteristic
979C22×D4C23×C1711yescharacteristic
980C22×D4C23×C1711yescharacteristic
981C23×C4C23×C1711yescharacteristic
982C23×C4C23×C1711yescharacteristic
983C23×C4C23×C1711yescharacteristic
984C23×C4C23×C1711yescharacteristic
985C23×C4C23×C1711yescharacteristic
986C23×C4C23×C1711yescharacteristic
987C23×C4C23×C1711yescharacteristic
988C23×C4C23×C1711yescharacteristic
989C23×C4C23×C1711yescharacteristic
990C23×C4C23×C1711yescharacteristic
991C23×C4C23×C1711yescharacteristic
992C23×C4C23×C1711yescharacteristic
993#126C2×C4×C1718yescomplemented
994#126C2×C4×C1718yescomplemented
995#124C2×C4×C1718yescomplemented
996#124C2×C4×C1718yescomplemented
997#123C2×C4×C1718yescomplemented
998#123C2×C4×C1718yescomplemented
999C22⋊Q8C2×C4×C1718yescomplemented
1000#121C2×C4×C1718yescomplemented
1001#121C2×C4×C1718yescomplemented
1002#121C2×C4×C1718yescomplemented
1003#120C2×C4×C1718yescomplemented
1004#120C2×C4×C1718yescomplemented
1005C4×Q8—42no—
1006C4×D4—42no—
1007C4×D4—42no—
1008C4×D4—42no—
1009C4×D4—42no—
1010C4×D4—42no—
1011C4×D4C2×C4×C1718yescomplemented
1012C4×D4C2×C4×C1718yescomplemented
1013#117—42no—
1014#117—42no—
1015#117—42no—
1016#117—42no—
1017C2×C4⋊C4C23×C1711yescharacteristic
1018C2×C4⋊C4C23×C1711yescharacteristic
1019C2×C4⋊C4C23×C1711yescharacteristic
1020C2×C4⋊C4C23×C1711yescharacteristic
1021C2×C4⋊C4C23×C1711yescharacteristic
1022C2×C4⋊C4C23×C1711yescharacteristic
1023C2×C4⋊C4C23×C1711yescharacteristic
1024C2×C4⋊C4C23×C1711yescharacteristic
1025C2×C4⋊C4C23×C1711yescharacteristic
1026C2×C4⋊C4C23×C1711yescharacteristic
1027C2×C4⋊C4C23×C1711yescharacteristic
1028C2×C4⋊C4C23×C1711yescharacteristic
1029C2×C4⋊C4C23×C1711yescharacteristic
1030C2×C4⋊C4C23×C1711yescharacteristic
1031C2×C4⋊C4C23×C1711yescharacteristic
1032C2×C4⋊C4C23×C1711yescharacteristic
1033C2×C4⋊C4C23×C1711yescharacteristic
1034C2×C4⋊C4C23×C1711yescharacteristic
1035C2×C4⋊C4C23×C1711yescharacteristic
1036C2×C4⋊C4C23×C1711yescharacteristic
1037C2×C4⋊C4C23×C1711yescharacteristic
1038C2×C4⋊C4C23×C1711yescharacteristic
1039C2×C4⋊C4C23×C1711yescharacteristic
1040C2×C4⋊C4C23×C1711yescharacteristic
1041C2×C4⋊C4C23×C1711yescharacteristic
1042C2×C4⋊C4C23×C1711yescharacteristic
1043C2×C22⋊C4—42no—
1044C2×C22⋊C4—42no—
1045C2×C22⋊C4C2×C4×C1718yescomplemented
1046C2×C22⋊C4C23×C1711yescharacteristic
1047C2×C22⋊C4C23×C1711yescharacteristic
1048C2×C22⋊C4C23×C1711yescharacteristic
1049C2×C22⋊C4C23×C1711yescharacteristic
1050C2×C22⋊C4C23×C1711yescharacteristic
1051C2×C22⋊C4C23×C1711yescharacteristic
1052C2×C22⋊C4C23×C1711yescharacteristic
1053C2×C22⋊C4C23×C1711yescharacteristic
1054C2×C22⋊C4C23×C1711yescharacteristic
1055C2×C22⋊C4C23×C1711yescharacteristic
1056C2×C22⋊C4C23×C1711yescharacteristic
1057C2×C22⋊C4C23×C1711yescharacteristic
1058C2×C22⋊C4C23×C1711yescharacteristic
1059C2×C22⋊C4C23×C1711yescharacteristic
1060C2×C22⋊C4C23×C1711yescharacteristic
1061C2×C22⋊C4C23×C1711yescharacteristic
1062C2×C22⋊C4C23×C1711yescharacteristic
1063C2×C22⋊C4C23×C1711yescharacteristic
1064C2×C22⋊C4C23×C1711yescharacteristic
1065C2×C22⋊C4C23×C1711yescharacteristic
1066C2×C22⋊C4C23×C1711yescharacteristic
1067C2×C22⋊C4C23×C1711yescharacteristic
1068C2×C22⋊C4C23×C1711yescharacteristic
1069C2×C22⋊C4C23×C1711yescharacteristic
1070C2×C22⋊C4C23×C1711yescharacteristic
1071C2×C22⋊C4C23×C1711yescharacteristic
1072C2×C22⋊C4C23×C1711yescharacteristic
1073C2×C22⋊C4C23×C1711yescharacteristic
1074C2×C22⋊C4C23×C1711yescharacteristic
1075C2×C22⋊C4C23×C1711yescharacteristic
1076C2×C22⋊C4C23×C1711yescharacteristic
1077C2×C22⋊C4C23×C1711yescharacteristic
1078C2×C22⋊C4C23×C1711yescharacteristic
1079C2×C22⋊C4C23×C1711yescharacteristic
1080C2×C22⋊C4C23×C1711yescharacteristic
1081C2×C22⋊C4C23×C1711yescharacteristic
1082C2×C22⋊C4C23×C1711yescharacteristic
1083C2×C22⋊C4C23×C1711yescharacteristic
1084C2×C22⋊C4C23×C1711yescharacteristic
1085C2×C22⋊C4C23×C1711yescharacteristic
1086C2×C22⋊C4C23×C1711yescharacteristic
1087C2×C22⋊C4C23×C1711yescharacteristic
1088C2×C22⋊C4C23×C1711yescharacteristic
1089C2×C22⋊C4C23×C1711yescharacteristic
1090C2×C22⋊C4C23×C1711yescharacteristic
1091C2×C22⋊C4C23×C1711yescharacteristic
1092C2×C42C23×C1711yescharacteristic
1093C2×C42C23×C1711yescharacteristic
1094C2×C42C23×C1711yescharacteristic
1095C2×C42C23×C1711yescharacteristic
1096C2×C42C23×C1711yescharacteristic
1097C2×C42C23×C1711yescharacteristic
1098C2×C42C23×C1711yescharacteristic
1099C2×C42C23×C1711yescharacteristic
1100C2×C42C23×C1711yescharacteristic
1101C2×C42C23×C1711yescharacteristic
1102C2×C42C23×C1711yescharacteristic
1103C2×C42C23×C1711yescharacteristic
1104C2×C42C23×C1711yescharacteristic
1105C2×C42C23×C1711yescharacteristic
1106C2×C42C23×C1711yescharacteristic
1107C2×C42C23×C1711yescharacteristic
1108C2×C42C23×C1711yescharacteristic
1109C2×C42C23×C1711yescharacteristic
1110C2×C42C23×C1711yescharacteristic
1111C2×C42C23×C1711yescharacteristic
1112C2×C42C23×C1711yescharacteristic
1113C2×C42C23×C1711yescharacteristic
1114#95C23×C1711yescharacteristic
1115#95C23×C1711yescharacteristic
1116#95C23×C1711yescharacteristic
1117#95C23×C1711yescharacteristic
1118#95C23×C1711yescharacteristic
1119#95C23×C1711yescharacteristic
1120#95C23×C1711yescharacteristic
1121#95C23×C1711yescharacteristic
1122#95C23×C1711yescharacteristic
1123#95C23×C1711yescharacteristic
1124#95C23×C1711yescharacteristic
1125#95C23×C1711yescharacteristic
1126#95C23×C1711yescharacteristic
1127#95C23×C1711yescharacteristic
1128#95C23×C1711yescharacteristic
1129#95C23×C1711yescharacteristic
1130#95C23×C1711yescharacteristic
1131#95C23×C1711yescharacteristic
1132#95C23×C1711yescharacteristic
1133#95C23×C1711yescharacteristic
1134#95C23×C1711yescharacteristic
1135#95C23×C1711yescharacteristic
1136#95C23×C1711yescharacteristic
1137#95C23×C1711yescharacteristic
1138#95C23×C1711yescharacteristic
1139#95C23×C1711yescharacteristic
1140#95C23×C1711yescharacteristic
1141#95C23×C1711yescharacteristic
1142#95C23×C1711yescharacteristic
1143#95C23×C1711yescharacteristic
1144#95C23×C1711yescharacteristic
1145#95C23×C1711yescharacteristic
1146#95C23×C1711yescharacteristic
1147#95C23×C1711yescharacteristic
1148#95C23×C1711yescharacteristic
1149#95C23×C1711yescharacteristic
1150#95C23×C1711yescharacteristic
1151#95C23×C1711yescharacteristic
1152#95C23×C1711yescharacteristic
1153#95C23×C1711yescharacteristic
1154C17#3444611yescharacteristic, direct product factor, Sylow
1155C24—41no—
1156C24—41no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24C22×C4×C1714yes—
1162C24C24×C1711yescharacteristic
1163C24C24×C1711yescharacteristic
1164C24C24×C1711yescharacteristic
1165C24C24×C1711yescharacteristic
1166C24C24×C1711yescharacteristic
1167C2×Q8—41no—
1168C2×Q8—41no—
1169C2×Q8C22×C4×C1714yes—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4C22×C4×C1714yes—
1185C2×D4C22×C4×C1714yes—
1186C2×D4C22×C4×C1714yes—
1187C2×D4C22×C4×C1714yes—
1188C2×D4C22×C4×C1714yes—
1189C2×D4C22×C4×C1714yes—
1190C2×D4C22×C4×C1714yes—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4C22×C4×C1714yes—
1224C22×C4C22×C4×C1714yes—
1225C22×C4C22×C4×C1714yes—
1226C22×C4C22×C4×C1714yes—
1227C22×C4C24×C1711yescharacteristic
1228C22×C4C24×C1711yescharacteristic
1229C22×C4C24×C1711yescharacteristic
1230C22×C4C24×C1711yescharacteristic
1231C22×C4C24×C1711yescharacteristic
1232C22×C4C24×C1711yescharacteristic
1233C22×C4C24×C1711yescharacteristic
1234C22×C4C24×C1711yescharacteristic
1235C22×C4C24×C1711yescharacteristic
1236C22×C4C24×C1711yescharacteristic
1237C22×C4C24×C1711yescharacteristic
1238C22×C4C24×C1711yescharacteristic
1239C22×C4C24×C1711yescharacteristic
1240C22×C4C24×C1711yescharacteristic
1241C22×C4C24×C1711yescharacteristic
1242C22×C4C24×C1711yescharacteristic
1243C22×C4C24×C1711yescharacteristic
1244C22×C4C24×C1711yescharacteristic
1245C22×C4C24×C1711yescharacteristic
1246C22×C4C24×C1711yescharacteristic
1247C22×C4C24×C1711yescharacteristic
1248C22×C4C24×C1711yescharacteristic
1249C22×C4C24×C1711yescharacteristic
1250C22×C4C24×C1711yescharacteristic
1251C22×C4C24×C1711yescharacteristic
1252C22×C4C24×C1711yescharacteristic
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4C22×C4×C1714yes—
1274C4⋊C4C22×C4×C1714yes—
1275C4⋊C4C22×C4×C1714yes—
1276C4⋊C4C22×C4×C1714yes—
1277C4⋊C4C22×C4×C1714yes—
1278C4⋊C4C22×C4×C1714yes—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4C22×C4×C1714yes—
1312C22⋊C4C22×C4×C1714yes—
1313C22⋊C4C22×C4×C1714yes—
1314C22⋊C4C22×C4×C1714yes—
1315C22⋊C4C22×C4×C1714yes—
1316C22⋊C4C22×C4×C1714yes—
1317C22⋊C4C22×C4×C1714yes—
1318C22⋊C4C22×C4×C1714yes—
1319C22⋊C4C22×C4×C1714yes—
1320C22⋊C4C22×C4×C1714yes—
1321C22⋊C4C22×C4×C1714yes—
1322C22⋊C4C22×C4×C1714yes—
1323C22⋊C4C22×C4×C1714yes—
1324C22⋊C4C22×C4×C1714yes—
1325C42—22no—
1326C42—22no—
1327C42—22no—
1328C42—22no—
1329C42—22no—
1330C42—41no—
1331C42—41no—
1332C42—41no—
1333C42—41no—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42C22×C4×C1714yes—
1346C42C22×C4×C1714yes—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—44no—
1378C23—44no—
1379C23—44no—
1380C23—82no—
1381C23—82no—
1382C23—82no—
1383C23—82no—
1384C23C23×C4×C1712yes—
1385C23C23×C4×C1712yes—
1386C23C23×C4×C1712yes—
1387C23C23×C4×C1712yes—
1388C23C23×C4×C1712yes—
1389C23C25×C1711yescharacteristic
1390Q8—44no—
1391D4—44no—
1392D4—44no—
1393D4—44no—
1394D4—44no—
1395D4—44no—
1396D4—44no—
1397D4—44no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—82no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4—82no—
1472C2×C4—82no—
1473C2×C4—82no—
1474C2×C4—82no—
1475C2×C4—82no—
1476C2×C4C23×C4×C1712yes—
1477C2×C4C23×C4×C1712yes—
1478C2×C4C23×C4×C1712yes—
1479C2×C4C23×C4×C1712yes—
1480C2×C4C23×C4×C1712yes—
1481C2×C4C23×C4×C1712yes—
1482C2×C4C23×C4×C1712yes—
1483C2×C4C23×C4×C1712yes—
1484C2×C4C23×C4×C1712yes—
1485C2×C4C23×C4×C1712yes—
1486C2×C4C17×H(5,𝔽2)12yes—
1487C2×C4C17×H(5,𝔽2)12yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—88no—
1524C22C24×C4×C1711yescharacteristic
1525C22C2×C17×H(5,𝔽2)11yescharacteristic
1526C22C2×C17×H(5,𝔽2)11yescharacteristic
1527C22C17×#58511yescharacteristic
1528C22C17×#58511yescharacteristic
1529C22C17×#58511yescharacteristic
1530C22C17×#58511yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C2—42no—
1558C2—42no—
1559C2—42no—
1560C2—42no—
1561C2—42no—
1562C2C17×#342811yescharacteristic
1563C2C4×C17×H(5,𝔽2)11yescharacteristic
1564C2C4×C17×H(5,𝔽2)11yescharacteristic
1565C2C17×#354511yescharacteristic
1566C2C17×#354611yescharacteristic
1567C2C17×#356011yescharacteristic
1568C2C17×#356611yescharacteristic
subgroupG/H
center, socleC23×C17C25
commutatorC22C24×C4×C17
Frattini, cosocleC23C25×C17
prime radicalC2×C17×#538C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C17 ◁ G

Complements

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

NH ≅ G/Ntype
2. C17×#2383C2semidirect
3. C17×#2377C2semidirect
4. C17×#2376C2semidirect
5. C17×#2375C2semidirect
6. C17×#2374C2semidirect
7. C17×#2373C2semidirect
8. C17×#2364C2semidirect
9. C17×#2363C2semidirect
10. C17×#2363C2semidirect
11. C17×#2359C2semidirect
12. C17×#2359C2semidirect
13. C17×#2358C2semidirect
14. C17×#2354C2semidirect
15. C17×#2353C2semidirect
16. C17×#2342C2semidirect
17. C17×#2342C2semidirect
18. C17×#2337C2semidirect
19. C17×#2337C2semidirect
20. C17×#2334C2semidirect
21. C17×#2332C2semidirect
22. C17×#2326C2semidirect
23. C17×#2325C2semidirect
24. C17×#2324C2semidirect
25. C17×#2323C2semidirect
26. C17×#2321C2semidirect
27. C17×#2321C2semidirect
28. C17×#2318C2semidirect
29. C4×C17×#126C2semidirect
30. C4×C17×#124C2semidirect
31. C17×#2293C2semidirect
32. C17×#538C4semidirect
45. C2×C4×Q8×C17C22semidirect
52. C2×C4×D4×C17C22semidirect
55. C2×C17×#117C22semidirect
56. C2×C17×#117C22semidirect
60. C17×#391C22semidirect
61. C17×#391C22semidirect
62. C17×#391C22semidirect
71. C17×#390C22semidirect
72. C17×#389C22semidirect
73. C17×#389C22semidirect
74. C17×#389C22semidirect
75. C17×#389C22semidirect
76. C17×#389C22semidirect
77. C17×#389C22semidirect
102. C17×#388C22semidirect
103. C17×#388C22semidirect
104. C17×#388C22semidirect
105. C17×#388C22semidirect
106. C17×#388C22semidirect
107. C17×#388C22semidirect
108. C17×#388C22semidirect
109. C17×#388C22semidirect
110. C17×#387C22semidirect
111. C17×#387C22semidirect
112. C17×#387C22semidirect
113. C17×#387C22semidirect
114. C17×#387C22semidirect
115. C17×#387C22semidirect
116. C17×#387C22semidirect
117. C17×#387C22semidirect
118. C17×#387C22semidirect
119. C17×#387C22semidirect
120. C17×#387C22semidirect
121. C17×#387C22semidirect
134. C17×#386C22semidirect
135. C17×#386C22semidirect
144. C17×#385C22semidirect
145. C17×#385C22semidirect
146. C17×#385C22semidirect
147. C17×#385C22semidirect
148. C17×#384C22semidirect
149. C17×#383C22semidirect
150. C17×#383C22semidirect
151. C17×#382C22semidirect
156. C17×#380C22semidirect
157. C17×#380C22semidirect
160. C4×C4⋊C4×C17C22semidirect
161. C4×C4⋊C4×C17C22semidirect
162. C4×C4⋊C4×C17C22semidirect
163. C4×C4⋊C4×C17C22semidirect
164. C4×C4⋊C4×C17C22semidirect
165. C4×C4⋊C4×C17C22semidirect
166. C4×C4⋊C4×C17C22semidirect
167. C4×C4⋊C4×C17C22semidirect
178. C4×C22⋊C4×C17C22semidirect
179. C4×C22⋊C4×C17C22semidirect
180. C4×C22⋊C4×C17C22semidirect
181. C4×C22⋊C4×C17C22semidirect
182. C4×C22⋊C4×C17C22semidirect
183. C4×C22⋊C4×C17C22semidirect
184. C17×#376C22semidirect
185. C2×C17×#95C22semidirect
186. C2×C17×#95C22semidirect
187. C43×C17C22semidirect
209. C17×#126C2×C4semidirect
210. C17×#126C2×C4semidirect
211. C17×#124C2×C4semidirect
212. C17×#124C2×C4semidirect
213. C17×#123C2×C4semidirect
214. C17×#123C2×C4semidirect
215. C17×C22⋊Q8C2×C4semidirect
216. C17×#121C2×C4semidirect
217. C17×#121C2×C4semidirect
218. C17×#121C2×C4semidirect
219. C17×#120C2×C4semidirect
220. C17×#120C2×C4semidirect
227. C4×D4×C17C2×C4semidirect
228. C4×D4×C17C2×C4semidirect
261. C2×C22⋊C4×C17C2×C4semidirect
562. #34446C17direct (N × H)
705. #2383C2×C17semidirect
706. #2377C2×C17semidirect
707. #2376C2×C17semidirect
708. #2375C2×C17semidirect
709. #2374C2×C17semidirect
710. #2373C2×C17semidirect
711. #2364C2×C17semidirect
712. #2363C2×C17semidirect
713. #2363C2×C17semidirect
714. #2359C2×C17semidirect
715. #2359C2×C17semidirect
716. #2358C2×C17semidirect
717. #2354C2×C17semidirect
718. #2353C2×C17semidirect
719. #2342C2×C17semidirect
720. #2342C2×C17semidirect
721. #2337C2×C17semidirect
722. #2337C2×C17semidirect
723. #2334C2×C17semidirect
724. #2332C2×C17semidirect
725. #2326C2×C17semidirect
726. #2325C2×C17semidirect
727. #2324C2×C17semidirect
728. #2323C2×C17semidirect
729. #2321C2×C17semidirect
730. #2321C2×C17semidirect
731. #2318C2×C17semidirect
732. C4×#126C2×C17semidirect
733. C4×#124C2×C17semidirect
734. #2293C2×C17semidirect
804. #538C4×C17semidirect
817. C2×C4×Q8C22×C17semidirect
824. C2×C4×D4C22×C17semidirect
827. C2×#117C22×C17semidirect
828. C2×#117C22×C17semidirect
832. #391C22×C17semidirect
833. #391C22×C17semidirect
834. #391C22×C17semidirect
843. #390C22×C17semidirect
844. #389C22×C17semidirect
845. #389C22×C17semidirect
846. #389C22×C17semidirect
847. #389C22×C17semidirect
848. #389C22×C17semidirect
849. #389C22×C17semidirect
874. #388C22×C17semidirect
875. #388C22×C17semidirect
876. #388C22×C17semidirect
877. #388C22×C17semidirect
878. #388C22×C17semidirect
879. #388C22×C17semidirect
880. #388C22×C17semidirect
881. #388C22×C17semidirect
882. #387C22×C17semidirect
883. #387C22×C17semidirect
884. #387C22×C17semidirect
885. #387C22×C17semidirect
886. #387C22×C17semidirect
887. #387C22×C17semidirect
888. #387C22×C17semidirect
889. #387C22×C17semidirect
890. #387C22×C17semidirect
891. #387C22×C17semidirect
892. #387C22×C17semidirect
893. #387C22×C17semidirect
906. #386C22×C17semidirect
907. #386C22×C17semidirect
916. #385C22×C17semidirect
917. #385C22×C17semidirect
918. #385C22×C17semidirect
919. #385C22×C17semidirect
920. #384C22×C17semidirect
921. #383C22×C17semidirect
922. #383C22×C17semidirect
923. #382C22×C17semidirect
928. #380C22×C17semidirect
929. #380C22×C17semidirect
932. C4×C4⋊C4C22×C17semidirect
933. C4×C4⋊C4C22×C17semidirect
934. C4×C4⋊C4C22×C17semidirect
935. C4×C4⋊C4C22×C17semidirect
936. C4×C4⋊C4C22×C17semidirect
937. C4×C4⋊C4C22×C17semidirect
938. C4×C4⋊C4C22×C17semidirect
939. C4×C4⋊C4C22×C17semidirect
950. C4×C22⋊C4C22×C17semidirect
951. C4×C22⋊C4C22×C17semidirect
952. C4×C22⋊C4C22×C17semidirect
953. C4×C22⋊C4C22×C17semidirect
954. C4×C22⋊C4C22×C17semidirect
955. C4×C22⋊C4C22×C17semidirect
956. #376C22×C17semidirect
957. C2×#95C22×C17semidirect
958. C2×#95C22×C17semidirect
959. C43C22×C17semidirect
993. #126C2×C4×C17semidirect
994. #126C2×C4×C17semidirect
995. #124C2×C4×C17semidirect
996. #124C2×C4×C17semidirect
997. #123C2×C4×C17semidirect
998. #123C2×C4×C17semidirect
999. C22⋊Q8C2×C4×C17semidirect
1000. #121C2×C4×C17semidirect
1001. #121C2×C4×C17semidirect
1002. #121C2×C4×C17semidirect
1003. #120C2×C4×C17semidirect
1004. #120C2×C4×C17semidirect
1011. C4×D4C2×C4×C17semidirect
1012. C4×D4C2×C4×C17semidirect
1045. C2×C22⋊C4C2×C4×C17semidirect
1154. C17#34446direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C17×#5382
C17×#23832
C17×#23772
C17×#23762
C17×#23752
C17×#23742
C17×#23732
C17×#23642
C17×#23632
C17×#23592
C17×#23582
C17×#23542
C17×#23532
C17×#23422
C17×#23372
C17×#23342
C17×#23322
C17×#23262
C17×#23252
C17×#23242
C17×#23232
C17×#23212
C17×#23182
C4×C17×#1262
C4×C17×#1242
C17×#22932
#3444617