Finite Group Databasebeta

← C17×#34303 #16892047

Subgroups — C17×#34303 #16892047

Order 4352.

2388 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C17×#551C211yesmaximal, characteristic
2C17×#2374C211yesmaximal, characteristic, complemented
3C17×#2373C211yesmaximal, characteristic, complemented
4C17×#2373C211yesmaximal, characteristic, complemented
5C17×#2372C211yesmaximal, characteristic, complemented
6C17×#2362C211yesmaximal, characteristic, complemented
7C17×#2360C211yesmaximal, characteristic, complemented
8C17×#2359C211yesmaximal, characteristic, complemented
9C17×#2359C211yesmaximal, characteristic, complemented
10C17×#2358C211yesmaximal, characteristic
11C17×#2353C211yesmaximal, characteristic, complemented
12C17×#2352C211yesmaximal, characteristic, complemented
13C17×#2346C211yesmaximal, characteristic, complemented
14C17×#2343C211yesmaximal, characteristic, complemented
15C17×#2342C211yesmaximal, characteristic, complemented
16C17×#2342C211yesmaximal, characteristic, complemented
17C17×#2335C211yesmaximal, characteristic, complemented
18C17×#2335C211yesmaximal, characteristic, complemented
19C17×#2334C211yesmaximal, characteristic, complemented
20C17×#2332C211yesmaximal, characteristic, complemented
21C17×#2329C211yesmaximal, characteristic, complemented
22C17×#2321C211yesmaximal, characteristic
23C4×C17×#126C211yesmaximal, characteristic, complemented
24C4×C17×#124C211yesmaximal, characteristic, complemented
25C4×C17×#123C211yesmaximal, characteristic, complemented
26C17×#2298C211yesmaximal, characteristic, complemented
27C17×#2293C211yesmaximal, characteristic, complemented
28C2×C17×#388C211yesmaximal, characteristic, complemented
29C17×#2275C211yesmaximal, characteristic, complemented
30C17×#2273C211yesmaximal, characteristic, complemented
31C4×C17×#117C211yesmaximal, characteristic, complemented
32C17×#551C4116yescomplemented
33C2×C17×#126C2211yescharacteristic
34C2×C17×#126C2211yescharacteristic
35C2×C17×#124C2211yescharacteristic
36C2×C17×#123C2211yescharacteristic
37C2×C17×#123C2211yescharacteristic
38C2×C17×#123C2211yescharacteristic
39C2×C17×C22⋊Q8C2211yescharacteristic
40C2×C17×C22⋊Q8C2211yescharacteristic
41C2×C17×#120C2211yescharacteristic
42C2×C4×Q8×C17C2211yescharacteristic, complemented
43C2×C4×D4×C17C2211yescharacteristic
44C2×C4×D4×C17C2211yescharacteristic
45C2×C4×D4×C17C2211yescharacteristic
46C2×C4×D4×C17C2211yescharacteristic
47C2×C4×D4×C17C2211yescharacteristic
48C2×C17×#117C2211yescharacteristic
49C2×C17×#117C2211yescharacteristic
50C2×C17×#117C2211yescharacteristic
51C2×C17×#117C2211yescharacteristic
52C2×C17×#117C2211yescharacteristic, complemented
53C22×C4⋊C4×C17C2211yescharacteristic
54C22×C22⋊C4×C17C2211yescharacteristic
55C22×C22⋊C4×C17C2211yescharacteristic
56C22×C22⋊C4×C17C2211yescharacteristic
57C22×C22⋊C4×C17C2211yescharacteristic
58C22×C22⋊C4×C17C2211yescharacteristic
59C22×C42×C17C2211yescharacteristic
60C17×#391C2211yescharacteristic, complemented
61C17×#391C2211yescharacteristic, complemented
62C17×#391C2211yescharacteristic, complemented
63C17×#390C2211yescharacteristic
64C17×#390C2211yescharacteristic
65C17×#390C2211yescharacteristic
66C17×#389C2211yescharacteristic, complemented
67C17×#389C2211yescharacteristic, complemented
68C17×#389C2211yescharacteristic, complemented
69C17×#389C2211yescharacteristic, complemented
70C17×#389C2211yescharacteristic, complemented
71C17×#389C2211yescharacteristic, complemented
72C17×#388C2211yescharacteristic
73C17×#388C2211yescharacteristic
74C17×#388C2211yescharacteristic
75C17×#388C2211yescharacteristic
76C17×#388C2211yescharacteristic
77C17×#388C2211yescharacteristic
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, complemented
95C17×#388C2211yescharacteristic, complemented
96C17×#388C2211yescharacteristic, complemented
97C17×#388C2211yescharacteristic, complemented
98C17×#388C2211yescharacteristic, complemented
99C17×#388C2211yescharacteristic, complemented
100C17×#387C2211yescharacteristic, complemented
101C17×#387C2211yescharacteristic, complemented
102C17×#387C2211yescharacteristic, complemented
103C17×#387C2211yescharacteristic, complemented
104C17×#387C2211yescharacteristic, complemented
105C17×#387C2211yescharacteristic, complemented
106C17×#387C2211yescharacteristic, complemented
107C17×#387C2211yescharacteristic, complemented
108C17×#387C2211yescharacteristic, complemented
109C17×#387C2211yescharacteristic, complemented
110C17×#387C2211yescharacteristic, complemented
111C17×#387C2211yescharacteristic, complemented
112C17×#387C2211yescharacteristic, complemented
113C17×#387C2211yescharacteristic, complemented
114C17×#387C2211yescharacteristic, complemented
115C17×#387C2211yescharacteristic, complemented
116C17×#386C2211yescharacteristic
117C17×#386C2211yescharacteristic
118C17×#386C2211yescharacteristic
119C17×#386C2211yescharacteristic
120C17×#386C2211yescharacteristic
121C17×#386C2211yescharacteristic
122C17×#385C2211yescharacteristic
123C17×#385C2211yescharacteristic
124C17×#385C2211yescharacteristic
125C17×#385C2211yescharacteristic
126C17×#385C2211yescharacteristic
127C17×#385C2211yescharacteristic
128C17×#385C2211yescharacteristic
129C17×#385C2211yescharacteristic, complemented
130C17×#383C2211yescharacteristic, complemented
131C17×#382C2211yescharacteristic, complemented
132C17×#382C2211yescharacteristic, complemented
133C17×#381C2211yescharacteristic
134C17×#381C2211yescharacteristic
135C17×#380C2211yescharacteristic
136C17×#380C2211yescharacteristic
137C17×#380C2211yescharacteristic, complemented
138C17×#379C2211yescharacteristic
139C4×C4⋊C4×C17C2211yescharacteristic, complemented
140C4×C4⋊C4×C17C2211yescharacteristic, complemented
141C4×C4⋊C4×C17C2211yescharacteristic, complemented
142C4×C4⋊C4×C17C2211yescharacteristic, complemented
143C4×C4⋊C4×C17C2211yescharacteristic, complemented
144C4×C4⋊C4×C17C2211yescharacteristic, complemented
145C4×C4⋊C4×C17C2211yescharacteristic, complemented
146C4×C4⋊C4×C17C2211yescharacteristic, complemented
147C4×C4⋊C4×C17C2211yescharacteristic, complemented
148C4×C4⋊C4×C17C2211yescharacteristic, complemented
149C4×C4⋊C4×C17C2211yescharacteristic, complemented
150C4×C4⋊C4×C17C2211yescharacteristic, complemented
151C4×C4⋊C4×C17C2211yescharacteristic, complemented
152C4×C22⋊C4×C17C2211yescharacteristic
153C4×C22⋊C4×C17C2211yescharacteristic
154C4×C22⋊C4×C17C2211yescharacteristic
155C4×C22⋊C4×C17C2211yescharacteristic
156C4×C22⋊C4×C17C2211yescharacteristic
157C4×C22⋊C4×C17C2211yescharacteristic
158C4×C22⋊C4×C17C2211yescharacteristic
159C4×C22⋊C4×C17C2211yescharacteristic
160C4×C22⋊C4×C17C2211yescharacteristic
161C4×C22⋊C4×C17C2211yescharacteristic
162C4×C22⋊C4×C17C2211yescharacteristic
163C4×C22⋊C4×C17C2211yescharacteristic
164C4×C22⋊C4×C17C2211yescharacteristic
165C4×C22⋊C4×C17C2211yescharacteristic
166C4×C22⋊C4×C17C2211yescharacteristic
167C4×C22⋊C4×C17C2211yescharacteristic
168C4×C22⋊C4×C17C2211yescharacteristic
169C4×C22⋊C4×C17C2211yescharacteristic
170C4×C22⋊C4×C17C2211yescharacteristic
171C4×C22⋊C4×C17C2211yescharacteristic
172C4×C22⋊C4×C17C2211yescharacteristic
173C4×C22⋊C4×C17C2211yescharacteristic, complemented
174C4×C22⋊C4×C17C2211yescharacteristic, complemented
175C4×C22⋊C4×C17C2211yescharacteristic, complemented
176C4×C22⋊C4×C17C2211yescharacteristic, complemented
177C4×C22⋊C4×C17C2211yescharacteristic, complemented
178C4×C22⋊C4×C17C2211yescharacteristic, complemented
179C17×#376C2211yescharacteristic, complemented
180C17×#376C2211yescharacteristic, complemented
181C17×#376C2211yescharacteristic, complemented
182C17×#376C2211yescharacteristic, complemented
183C2×C17×#95C2211yescharacteristic
184C2×C17×#95C2211yescharacteristic
185C2×C17×#95C2211yescharacteristic, complemented
186C43×C17C2211yescharacteristic, complemented
187C43×C17C2211yescharacteristic, complemented
188C25×C17C2311yescharacteristic
189C22×Q8×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C23×C4×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
206C17×#126C2×C418yescomplemented
207C17×#126C2×C418yescomplemented
208C17×#124C2×C418yescomplemented
209C17×#123C2×C418yescomplemented
210C17×#123C2×C418yescomplemented
211C17×#123C2×C418yescomplemented
212C17×C22⋊Q8C2×C418yescomplemented
213C17×C22⋊Q8C2×C418yescomplemented
214C17×#120C2×C418yes—
215C4×Q8×C17—42no—
216C4×D4×C17—24no—
217C4×D4×C17—24no—
218C4×D4×C17—42no—
219C4×D4×C17C2×C418yescomplemented
220C4×D4×C17C2×C418yescomplemented
221C17×#117—24no—
222C17×#117—42no—
223C17×#117—42no—
224C17×#117C2×C418yescomplemented
225C17×#117C2×C418yescomplemented
226C2×C4⋊C4×C17—42no—
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
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×C22⋊C4×C17—24no—
254C2×C22⋊C4×C17—24no—
255C2×C22⋊C4×C17—42no—
256C2×C22⋊C4×C17C2×C418yescomplemented
257C2×C22⋊C4×C17C2×C418yescomplemented
258C2×C22⋊C4×C17C2311yescharacteristic
259C2×C22⋊C4×C17C2311yescharacteristic
260C2×C22⋊C4×C17C2311yescharacteristic
261C2×C22⋊C4×C17C2311yescharacteristic
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×C42×C17—24no—
297C2×C42×C17C2311yescharacteristic
298C2×C42×C17C2311yescharacteristic
299C2×C42×C17C2311yescharacteristic
300C2×C42×C17C2311yescharacteristic
301C2×C42×C17C2311yescharacteristic
302C2×C42×C17C2311yescharacteristic
303C2×C42×C17C2311yescharacteristic
304C2×C42×C17C2311yescharacteristic
305C2×C42×C17C2311yescharacteristic
306C2×C42×C17C2311yescharacteristic
307C2×C42×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
326C17×#95C2311yescharacteristic
327C17×#95C2311yescharacteristic
328C17×#95C2311yescharacteristic
329C17×#95C2311yescharacteristic
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—22no—
371C24×C17—22no—
372C24×C17—41no—
373C24×C17—41no—
374C24×C17—41no—
375C24×C17—41no—
376C24×C17C22×C414yes—
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C24×C17C2411yescharacteristic
380C24×C17C2411yescharacteristic
381C2×Q8×C17—41no—
382C2×Q8×C17—41no—
383C2×Q8×C17C22×C414yes—
384C2×D4×C17—22no—
385C2×D4×C17—22no—
386C2×D4×C17—41no—
387C2×D4×C17—41no—
388C2×D4×C17—41no—
389C2×D4×C17—41no—
390C2×D4×C17C22×C414yes—
391C2×D4×C17C22×C414yes—
392C2×D4×C17C22×C414yes—
393C22×C4×C17—22no—
394C22×C4×C17—22no—
395C22×C4×C17—22no—
396C22×C4×C17—22no—
397C22×C4×C17—22no—
398C22×C4×C17—22no—
399C22×C4×C17—22no—
400C22×C4×C17—22no—
401C22×C4×C17—22no—
402C22×C4×C17—22no—
403C22×C4×C17—41no—
404C22×C4×C17—41no—
405C22×C4×C17—41no—
406C22×C4×C17—41no—
407C22×C4×C17—41no—
408C22×C4×C17—41no—
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×C17C22×C414yes—
427C22×C4×C17C22×C414yes—
428C22×C4×C17C22×C414yes—
429C22×C4×C17C22×C414yes—
430C22×C4×C17C22×C414yes—
431C22×C4×C17#4114yes—
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C22×C4×C17C2411yescharacteristic
439C22×C4×C17C2411yescharacteristic
440C22×C4×C17C2411yescharacteristic
441C22×C4×C17C2411yescharacteristic
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
459C4⋊C4×C17—22no—
460C4⋊C4×C17—22no—
461C4⋊C4×C17—22no—
462C4⋊C4×C17—22no—
463C4⋊C4×C17—22no—
464C4⋊C4×C17—22no—
465C4⋊C4×C17—22no—
466C4⋊C4×C17—41no—
467C4⋊C4×C17—41no—
468C4⋊C4×C17—41no—
469C4⋊C4×C17—41no—
470C4⋊C4×C17—41no—
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×C17C22×C414yes—
478C4⋊C4×C17C22×C414yes—
479C4⋊C4×C17C22×C414yes—
480C4⋊C4×C17C22×C414yes—
481C4⋊C4×C17C22×C414yes—
482C4⋊C4×C17C22×C414yes—
483C4⋊C4×C17C22×C414yes—
484C4⋊C4×C17C22×C414yes—
485C22⋊C4×C17—22no—
486C22⋊C4×C17—22no—
487C22⋊C4×C17—22no—
488C22⋊C4×C17—22no—
489C22⋊C4×C17—22no—
490C22⋊C4×C17—22no—
491C22⋊C4×C17—22no—
492C22⋊C4×C17—22no—
493C22⋊C4×C17—22no—
494C22⋊C4×C17—22no—
495C22⋊C4×C17—22no—
496C22⋊C4×C17—22no—
497C22⋊C4×C17—22no—
498C22⋊C4×C17—22no—
499C22⋊C4×C17—41no—
500C22⋊C4×C17—41no—
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×C17C22×C414yes—
509C22⋊C4×C17C22×C414yes—
510C22⋊C4×C17C22×C414yes—
511C22⋊C4×C17C22×C414yes—
512C22⋊C4×C17C22×C414yes—
513C22⋊C4×C17C22×C414yes—
514C22⋊C4×C17C22×C414yes—
515C22⋊C4×C17C22×C414yes—
516C22⋊C4×C17C22×C414yes—
517C22⋊C4×C17C22×C414yes—
518C22⋊C4×C17C22×C414yes—
519C22⋊C4×C17C22×C414yes—
520C22⋊C4×C17C22×C414yes—
521C22⋊C4×C17C22×C414yes—
522C22⋊C4×C17#4114yes—
523C42×C17—22no—
524C42×C17—22no—
525C42×C17—22no—
526C42×C17—22no—
527C42×C17—22no—
528C42×C17—22no—
529C42×C17—22no—
530C42×C17—22no—
531C42×C17—22no—
532C42×C17—22no—
533C42×C17—41no—
534C42×C17—41no—
535C42×C17—41no—
536C42×C17—41no—
537C42×C17—41no—
538C42×C17—41no—
539C42×C17—41no—
540C42×C17—41no—
541C42×C17—41no—
542C42×C17—41no—
543C42×C17—41no—
544C42×C17—41no—
545C42×C17—41no—
546C42×C17—41no—
547C42×C17—41no—
548C42×C17—41no—
549C42×C17C22×C414yes—
550C42×C17C22×C414yes—
551C42×C17C22×C414yes—
552#34303C1711yesmaximal, characteristic, direct product factor, Sylow
553C23×C17—21no—
554C23×C17—21no—
555C23×C17—21no—
556C23×C17—21no—
557C23×C17—21no—
558C23×C17—21no—
559C23×C17—21no—
560C23×C17—21no—
561C23×C17—21no—
562C23×C17—21no—
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—28no—
576C23×C17—44no—
577C23×C17—44no—
578C23×C17—82no—
579C23×C17—82no—
580C23×C17—82no—
581C23×C17—82no—
582C23×C17C23×C412yes—
583C23×C17C23×C412yes—
584C23×C17C23×C412yes—
585C23×C17C23×C412yes—
586C23×C17C2×#4112yes—
587C23×C17C2×#4112yes—
588C23×C17C2511yescharacteristic
589Q8×C17—44no—
590D4×C17—28no—
591D4×C17—44no—
592D4×C17—44no—
593C2×C4×C17—28no—
594C2×C4×C17—21no—
595C2×C4×C17—21no—
596C2×C4×C17—21no—
597C2×C4×C17—21no—
598C2×C4×C17—21no—
599C2×C4×C17—21no—
600C2×C4×C17—21no—
601C2×C4×C17—21no—
602C2×C4×C17—21no—
603C2×C4×C17—21no—
604C2×C4×C17—21no—
605C2×C4×C17—21no—
606C2×C4×C17—21no—
607C2×C4×C17—21no—
608C2×C4×C17—21no—
609C2×C4×C17—21no—
610C2×C4×C17—21no—
611C2×C4×C17—21no—
612C2×C4×C17—21no—
613C2×C4×C17—21no—
614C2×C4×C17—21no—
615C2×C4×C17—21no—
616C2×C4×C17—21no—
617C2×C4×C17—21no—
618C2×C4×C17—21no—
619C2×C4×C17—21no—
620C2×C4×C17—21no—
621C2×C4×C17—21no—
622C2×C4×C17—21no—
623C2×C4×C17—21no—
624C2×C4×C17—21no—
625C2×C4×C17—21no—
626C2×C4×C17—21no—
627C2×C4×C17—21no—
628C2×C4×C17—21no—
629C2×C4×C17—21no—
630C2×C4×C17—21no—
631C2×C4×C17—21no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—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—44no—
660C2×C4×C17—44no—
661C2×C4×C17—44no—
662C2×C4×C17—44no—
663C2×C4×C17—44no—
664C2×C4×C17—44no—
665C2×C4×C17—82no—
666C2×C4×C17—82no—
667C2×C4×C17—82no—
668C2×C4×C17—82no—
669C2×C4×C17—82no—
670C2×C4×C17—82no—
671C2×C4×C17C23×C412yes—
672C2×C4×C17C23×C412yes—
673C2×C4×C17C23×C412yes—
674C2×C4×C17C23×C412yes—
675C2×C4×C17C23×C412yes—
676C2×C4×C17C23×C412yes—
677C2×C4×C17C23×C412yes—
678C2×C4×C17C23×C412yes—
679C2×C4×C17C23×C412yes—
680C2×C4×C17C23×C412yes—
681C2×C4×C17C23×C412yes—
682C2×C4×C17C2×#4112yes—
683C2×C4×C17C2×#4112yes—
684C2×C4×C17C2×#4112yes—
685C2×C4×C17C2×#4112yes—
686C2×C4×C17H(5,𝔽2)12yes—
687C2×#551C2×C1711yescharacteristic
688#2374C2×C1711yescharacteristic, complemented
689#2373C2×C1711yescharacteristic, complemented
690#2373C2×C1711yescharacteristic, complemented
691#2372C2×C1711yescharacteristic, complemented
692#2362C2×C1711yescharacteristic, complemented
693#2360C2×C1711yescharacteristic, complemented
694#2359C2×C1711yescharacteristic, complemented
695#2359C2×C1711yescharacteristic, complemented
696#2358C2×C1711yescharacteristic
697#2353C2×C1711yescharacteristic, complemented
698#2352C2×C1711yescharacteristic, complemented
699#2346C2×C1711yescharacteristic, complemented
700#2343C2×C1711yescharacteristic, complemented
701#2342C2×C1711yescharacteristic, complemented
702#2342C2×C1711yescharacteristic, complemented
703#2335C2×C1711yescharacteristic, complemented
704#2335C2×C1711yescharacteristic, complemented
705#2334C2×C1711yescharacteristic, complemented
706#2332C2×C1711yescharacteristic, complemented
707#2329C2×C1711yescharacteristic, complemented
708#2321C2×C1711yescharacteristic
709C4×#126C2×C1711yescharacteristic, complemented
710C4×#124C2×C1711yescharacteristic, complemented
711C4×#123C2×C1711yescharacteristic, complemented
712#2298C2×C1711yescharacteristic, complemented
713#2293C2×C1711yescharacteristic, complemented
714C2×#388C2×C1711yescharacteristic, complemented
715#2275C2×C1711yescharacteristic, complemented
716#2273C2×C1711yescharacteristic, complemented
717C4×#117C2×C1711yescharacteristic, complemented
718C22×C17—22no—
719C22×C17—22no—
720C22×C17—22no—
721C22×C17—22no—
722C22×C17—22no—
723C22×C17—22no—
724C22×C17—22no—
725C22×C17—22no—
726C22×C17—22no—
727C22×C17—22no—
728C22×C17—22no—
729C22×C17—22no—
730C22×C17—22no—
731C22×C17—22no—
732C22×C17—22no—
733C22×C17—41no—
734C22×C17—41no—
735C22×C17—41no—
736C22×C17—41no—
737C22×C17—41no—
738C22×C17—41no—
739C22×C17—41no—
740C22×C17—41no—
741C22×C17—41no—
742C22×C17—41no—
743C22×C17—41no—
744C22×C17—41no—
745C22×C17—88no—
746C22×C17C4×#4114yes—
747C22×C17C24×C411yescharacteristic
748C22×C17C22×#4111yescharacteristic
749C22×C17C22×#4111yescharacteristic
750C22×C17C2×H(5,𝔽2)11yescharacteristic
751C22×C17#58511yescharacteristic
752C22×C17#58511yescharacteristic
753C22×C17#58511yescharacteristic
754C4×C17—22no—
755C4×C17—22no—
756C4×C17—22no—
757C4×C17—22no—
758C4×C17—22no—
759C4×C17—22no—
760C4×C17—22no—
761C4×C17—22no—
762C4×C17—22no—
763C4×C17—22no—
764C4×C17—22no—
765C4×C17—22no—
766C4×C17—22no—
767C4×C17—22no—
768C4×C17—22no—
769C4×C17—22no—
770C4×C17—41no—
771C4×C17—41no—
772C4×C17—41no—
773C4×C17—41no—
774C4×C17—41no—
775C4×C17—41no—
776C4×C17—41no—
777C4×C17—41no—
778C4×C17—41no—
779C4×C17—41no—
780C4×C17—41no—
781#551C4×C17116yescomplemented
782C2×#126C22×C1711yescharacteristic
783C2×#126C22×C1711yescharacteristic
784C2×#124C22×C1711yescharacteristic
785C2×#123C22×C1711yescharacteristic
786C2×#123C22×C1711yescharacteristic
787C2×#123C22×C1711yescharacteristic
788C2×C22⋊Q8C22×C1711yescharacteristic
789C2×C22⋊Q8C22×C1711yescharacteristic
790C2×#120C22×C1711yescharacteristic
791C2×C4×Q8C22×C1711yescharacteristic, complemented
792C2×C4×D4C22×C1711yescharacteristic
793C2×C4×D4C22×C1711yescharacteristic
794C2×C4×D4C22×C1711yescharacteristic
795C2×C4×D4C22×C1711yescharacteristic
796C2×C4×D4C22×C1711yescharacteristic
797C2×#117C22×C1711yescharacteristic
798C2×#117C22×C1711yescharacteristic
799C2×#117C22×C1711yescharacteristic
800C2×#117C22×C1711yescharacteristic
801C2×#117C22×C1711yescharacteristic, complemented
802C22×C4⋊C4C22×C1711yescharacteristic
803C22×C22⋊C4C22×C1711yescharacteristic
804C22×C22⋊C4C22×C1711yescharacteristic
805C22×C22⋊C4C22×C1711yescharacteristic
806C22×C22⋊C4C22×C1711yescharacteristic
807C22×C22⋊C4C22×C1711yescharacteristic
808C22×C42C22×C1711yescharacteristic
809#391C22×C1711yescharacteristic, complemented
810#391C22×C1711yescharacteristic, complemented
811#391C22×C1711yescharacteristic, complemented
812#390C22×C1711yescharacteristic
813#390C22×C1711yescharacteristic
814#390C22×C1711yescharacteristic
815#389C22×C1711yescharacteristic, complemented
816#389C22×C1711yescharacteristic, complemented
817#389C22×C1711yescharacteristic, complemented
818#389C22×C1711yescharacteristic, complemented
819#389C22×C1711yescharacteristic, complemented
820#389C22×C1711yescharacteristic, complemented
821#388C22×C1711yescharacteristic
822#388C22×C1711yescharacteristic
823#388C22×C1711yescharacteristic
824#388C22×C1711yescharacteristic
825#388C22×C1711yescharacteristic
826#388C22×C1711yescharacteristic
827#388C22×C1711yescharacteristic
828#388C22×C1711yescharacteristic
829#388C22×C1711yescharacteristic
830#388C22×C1711yescharacteristic
831#388C22×C1711yescharacteristic
832#388C22×C1711yescharacteristic
833#388C22×C1711yescharacteristic
834#388C22×C1711yescharacteristic
835#388C22×C1711yescharacteristic
836#388C22×C1711yescharacteristic
837#388C22×C1711yescharacteristic
838#388C22×C1711yescharacteristic
839#388C22×C1711yescharacteristic
840#388C22×C1711yescharacteristic
841#388C22×C1711yescharacteristic
842#388C22×C1711yescharacteristic
843#388C22×C1711yescharacteristic, complemented
844#388C22×C1711yescharacteristic, complemented
845#388C22×C1711yescharacteristic, complemented
846#388C22×C1711yescharacteristic, complemented
847#388C22×C1711yescharacteristic, complemented
848#388C22×C1711yescharacteristic, complemented
849#387C22×C1711yescharacteristic, complemented
850#387C22×C1711yescharacteristic, complemented
851#387C22×C1711yescharacteristic, complemented
852#387C22×C1711yescharacteristic, complemented
853#387C22×C1711yescharacteristic, complemented
854#387C22×C1711yescharacteristic, complemented
855#387C22×C1711yescharacteristic, complemented
856#387C22×C1711yescharacteristic, complemented
857#387C22×C1711yescharacteristic, complemented
858#387C22×C1711yescharacteristic, complemented
859#387C22×C1711yescharacteristic, complemented
860#387C22×C1711yescharacteristic, complemented
861#387C22×C1711yescharacteristic, complemented
862#387C22×C1711yescharacteristic, complemented
863#387C22×C1711yescharacteristic, complemented
864#387C22×C1711yescharacteristic, complemented
865#386C22×C1711yescharacteristic
866#386C22×C1711yescharacteristic
867#386C22×C1711yescharacteristic
868#386C22×C1711yescharacteristic
869#386C22×C1711yescharacteristic
870#386C22×C1711yescharacteristic
871#385C22×C1711yescharacteristic
872#385C22×C1711yescharacteristic
873#385C22×C1711yescharacteristic
874#385C22×C1711yescharacteristic
875#385C22×C1711yescharacteristic
876#385C22×C1711yescharacteristic
877#385C22×C1711yescharacteristic
878#385C22×C1711yescharacteristic, complemented
879#383C22×C1711yescharacteristic, complemented
880#382C22×C1711yescharacteristic, complemented
881#382C22×C1711yescharacteristic, complemented
882#381C22×C1711yescharacteristic
883#381C22×C1711yescharacteristic
884#380C22×C1711yescharacteristic
885#380C22×C1711yescharacteristic
886#380C22×C1711yescharacteristic, complemented
887#379C22×C1711yescharacteristic
888C4×C4⋊C4C22×C1711yescharacteristic, complemented
889C4×C4⋊C4C22×C1711yescharacteristic, complemented
890C4×C4⋊C4C22×C1711yescharacteristic, complemented
891C4×C4⋊C4C22×C1711yescharacteristic, complemented
892C4×C4⋊C4C22×C1711yescharacteristic, complemented
893C4×C4⋊C4C22×C1711yescharacteristic, complemented
894C4×C4⋊C4C22×C1711yescharacteristic, complemented
895C4×C4⋊C4C22×C1711yescharacteristic, complemented
896C4×C4⋊C4C22×C1711yescharacteristic, complemented
897C4×C4⋊C4C22×C1711yescharacteristic, complemented
898C4×C4⋊C4C22×C1711yescharacteristic, complemented
899C4×C4⋊C4C22×C1711yescharacteristic, complemented
900C4×C4⋊C4C22×C1711yescharacteristic, complemented
901C4×C22⋊C4C22×C1711yescharacteristic
902C4×C22⋊C4C22×C1711yescharacteristic
903C4×C22⋊C4C22×C1711yescharacteristic
904C4×C22⋊C4C22×C1711yescharacteristic
905C4×C22⋊C4C22×C1711yescharacteristic
906C4×C22⋊C4C22×C1711yescharacteristic
907C4×C22⋊C4C22×C1711yescharacteristic
908C4×C22⋊C4C22×C1711yescharacteristic
909C4×C22⋊C4C22×C1711yescharacteristic
910C4×C22⋊C4C22×C1711yescharacteristic
911C4×C22⋊C4C22×C1711yescharacteristic
912C4×C22⋊C4C22×C1711yescharacteristic
913C4×C22⋊C4C22×C1711yescharacteristic
914C4×C22⋊C4C22×C1711yescharacteristic
915C4×C22⋊C4C22×C1711yescharacteristic
916C4×C22⋊C4C22×C1711yescharacteristic
917C4×C22⋊C4C22×C1711yescharacteristic
918C4×C22⋊C4C22×C1711yescharacteristic
919C4×C22⋊C4C22×C1711yescharacteristic
920C4×C22⋊C4C22×C1711yescharacteristic
921C4×C22⋊C4C22×C1711yescharacteristic
922C4×C22⋊C4C22×C1711yescharacteristic, complemented
923C4×C22⋊C4C22×C1711yescharacteristic, complemented
924C4×C22⋊C4C22×C1711yescharacteristic, complemented
925C4×C22⋊C4C22×C1711yescharacteristic, complemented
926C4×C22⋊C4C22×C1711yescharacteristic, complemented
927C4×C22⋊C4C22×C1711yescharacteristic, complemented
928#376C22×C1711yescharacteristic, complemented
929#376C22×C1711yescharacteristic, complemented
930#376C22×C1711yescharacteristic, complemented
931#376C22×C1711yescharacteristic, complemented
932C2×#95C22×C1711yescharacteristic
933C2×#95C22×C1711yescharacteristic
934C2×#95C22×C1711yescharacteristic, complemented
935C43C22×C1711yescharacteristic, complemented
936C43C22×C1711yescharacteristic, complemented
937C2×C17—24no—
938C2×C17—42no—
939C2×C17—42no—
940C2×C17—42no—
941C2×C17C2×C4×#4111yescharacteristic
942C2×C17#342811yescharacteristic
943C2×C17C4×H(5,𝔽2)11yescharacteristic
944C2×C17#349111yescharacteristic
945C2×C17#349411yescharacteristic
946C2×C17#351411yescharacteristic
947C2×C17#352111yescharacteristic
948C25C23×C1711yescharacteristic
949C22×Q8C23×C1711yescharacteristic
950C22×D4C23×C1711yescharacteristic
951C22×D4C23×C1711yescharacteristic
952C22×D4C23×C1711yescharacteristic
953C23×C4C23×C1711yescharacteristic
954C23×C4C23×C1711yescharacteristic
955C23×C4C23×C1711yescharacteristic
956C23×C4C23×C1711yescharacteristic
957C23×C4C23×C1711yescharacteristic
958C23×C4C23×C1711yescharacteristic
959C23×C4C23×C1711yescharacteristic
960C23×C4C23×C1711yescharacteristic
961C23×C4C23×C1711yescharacteristic
962C23×C4C23×C1711yescharacteristic
963C23×C4C23×C1711yescharacteristic
964C23×C4C23×C1711yescharacteristic
965C23×C4C23×C1711yescharacteristic
966#126C2×C4×C1718yescomplemented
967#126C2×C4×C1718yescomplemented
968#124C2×C4×C1718yescomplemented
969#123C2×C4×C1718yescomplemented
970#123C2×C4×C1718yescomplemented
971#123C2×C4×C1718yescomplemented
972C22⋊Q8C2×C4×C1718yescomplemented
973C22⋊Q8C2×C4×C1718yescomplemented
974#120C2×C4×C1718yes—
975C4×Q8—42no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—42no—
979C4×D4C2×C4×C1718yescomplemented
980C4×D4C2×C4×C1718yescomplemented
981#117—24no—
982#117—42no—
983#117—42no—
984#117C2×C4×C1718yescomplemented
985#117C2×C4×C1718yescomplemented
986C2×C4⋊C4—42no—
987C2×C4⋊C4C23×C1711yescharacteristic
988C2×C4⋊C4C23×C1711yescharacteristic
989C2×C4⋊C4C23×C1711yescharacteristic
990C2×C4⋊C4C23×C1711yescharacteristic
991C2×C4⋊C4C23×C1711yescharacteristic
992C2×C4⋊C4C23×C1711yescharacteristic
993C2×C4⋊C4C23×C1711yescharacteristic
994C2×C4⋊C4C23×C1711yescharacteristic
995C2×C4⋊C4C23×C1711yescharacteristic
996C2×C4⋊C4C23×C1711yescharacteristic
997C2×C4⋊C4C23×C1711yescharacteristic
998C2×C4⋊C4C23×C1711yescharacteristic
999C2×C4⋊C4C23×C1711yescharacteristic
1000C2×C4⋊C4C23×C1711yescharacteristic
1001C2×C4⋊C4C23×C1711yescharacteristic
1002C2×C4⋊C4C23×C1711yescharacteristic
1003C2×C4⋊C4C23×C1711yescharacteristic
1004C2×C4⋊C4C23×C1711yescharacteristic
1005C2×C4⋊C4C23×C1711yescharacteristic
1006C2×C4⋊C4C23×C1711yescharacteristic
1007C2×C4⋊C4C23×C1711yescharacteristic
1008C2×C4⋊C4C23×C1711yescharacteristic
1009C2×C4⋊C4C23×C1711yescharacteristic
1010C2×C4⋊C4C23×C1711yescharacteristic
1011C2×C4⋊C4C23×C1711yescharacteristic
1012C2×C4⋊C4C23×C1711yescharacteristic
1013C2×C22⋊C4—24no—
1014C2×C22⋊C4—24no—
1015C2×C22⋊C4—42no—
1016C2×C22⋊C4C2×C4×C1718yescomplemented
1017C2×C22⋊C4C2×C4×C1718yescomplemented
1018C2×C22⋊C4C23×C1711yescharacteristic
1019C2×C22⋊C4C23×C1711yescharacteristic
1020C2×C22⋊C4C23×C1711yescharacteristic
1021C2×C22⋊C4C23×C1711yescharacteristic
1022C2×C22⋊C4C23×C1711yescharacteristic
1023C2×C22⋊C4C23×C1711yescharacteristic
1024C2×C22⋊C4C23×C1711yescharacteristic
1025C2×C22⋊C4C23×C1711yescharacteristic
1026C2×C22⋊C4C23×C1711yescharacteristic
1027C2×C22⋊C4C23×C1711yescharacteristic
1028C2×C22⋊C4C23×C1711yescharacteristic
1029C2×C22⋊C4C23×C1711yescharacteristic
1030C2×C22⋊C4C23×C1711yescharacteristic
1031C2×C22⋊C4C23×C1711yescharacteristic
1032C2×C22⋊C4C23×C1711yescharacteristic
1033C2×C22⋊C4C23×C1711yescharacteristic
1034C2×C22⋊C4C23×C1711yescharacteristic
1035C2×C22⋊C4C23×C1711yescharacteristic
1036C2×C22⋊C4C23×C1711yescharacteristic
1037C2×C22⋊C4C23×C1711yescharacteristic
1038C2×C22⋊C4C23×C1711yescharacteristic
1039C2×C22⋊C4C23×C1711yescharacteristic
1040C2×C22⋊C4C23×C1711yescharacteristic
1041C2×C22⋊C4C23×C1711yescharacteristic
1042C2×C22⋊C4C23×C1711yescharacteristic
1043C2×C22⋊C4C23×C1711yescharacteristic
1044C2×C22⋊C4C23×C1711yescharacteristic
1045C2×C22⋊C4C23×C1711yescharacteristic
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×C42—24no—
1057C2×C42C23×C1711yescharacteristic
1058C2×C42C23×C1711yescharacteristic
1059C2×C42C23×C1711yescharacteristic
1060C2×C42C23×C1711yescharacteristic
1061C2×C42C23×C1711yescharacteristic
1062C2×C42C23×C1711yescharacteristic
1063C2×C42C23×C1711yescharacteristic
1064C2×C42C23×C1711yescharacteristic
1065C2×C42C23×C1711yescharacteristic
1066C2×C42C23×C1711yescharacteristic
1067C2×C42C23×C1711yescharacteristic
1068C2×C42C23×C1711yescharacteristic
1069C2×C42C23×C1711yescharacteristic
1070C2×C42C23×C1711yescharacteristic
1071C2×C42C23×C1711yescharacteristic
1072C2×C42C23×C1711yescharacteristic
1073C2×C42C23×C1711yescharacteristic
1074C2×C42C23×C1711yescharacteristic
1075C2×C42C23×C1711yescharacteristic
1076C2×C42C23×C1711yescharacteristic
1077C2×C42C23×C1711yescharacteristic
1078C2×C42C23×C1711yescharacteristic
1079C2×C42C23×C1711yescharacteristic
1080C2×C42C23×C1711yescharacteristic
1081C2×C42C23×C1711yescharacteristic
1082C2×C42C23×C1711yescharacteristic
1083C2×C42C23×C1711yescharacteristic
1084C2×C42C23×C1711yescharacteristic
1085C2×C42C23×C1711yescharacteristic
1086#95C23×C1711yescharacteristic
1087#95C23×C1711yescharacteristic
1088#95C23×C1711yescharacteristic
1089#95C23×C1711yescharacteristic
1090#95C23×C1711yescharacteristic
1091#95C23×C1711yescharacteristic
1092#95C23×C1711yescharacteristic
1093#95C23×C1711yescharacteristic
1094#95C23×C1711yescharacteristic
1095#95C23×C1711yescharacteristic
1096#95C23×C1711yescharacteristic
1097#95C23×C1711yescharacteristic
1098#95C23×C1711yescharacteristic
1099#95C23×C1711yescharacteristic
1100#95C23×C1711yescharacteristic
1101#95C23×C1711yescharacteristic
1102#95C23×C1711yescharacteristic
1103#95C23×C1711yescharacteristic
1104#95C23×C1711yescharacteristic
1105#95C23×C1711yescharacteristic
1106#95C23×C1711yescharacteristic
1107#95C23×C1711yescharacteristic
1108#95C23×C1711yescharacteristic
1109#95C23×C1711yescharacteristic
1110#95C23×C1711yescharacteristic
1111#95C23×C1711yescharacteristic
1112#95C23×C1711yescharacteristic
1113#95C23×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
1130C17#3430311yescharacteristic, direct product factor, Sylow
1131C24—22no—
1132C24—22no—
1133C24—41no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24C22×C4×C1714yes—
1138C24C24×C1711yescharacteristic
1139C24C24×C1711yescharacteristic
1140C24C24×C1711yescharacteristic
1141C24C24×C1711yescharacteristic
1142C2×Q8—41no—
1143C2×Q8—41no—
1144C2×Q8C22×C4×C1714yes—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4C22×C4×C1714yes—
1152C2×D4C22×C4×C1714yes—
1153C2×D4C22×C4×C1714yes—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4C22×C4×C1714yes—
1188C22×C4C22×C4×C1714yes—
1189C22×C4C22×C4×C1714yes—
1190C22×C4C22×C4×C1714yes—
1191C22×C4C22×C4×C1714yes—
1192C22×C4#41×C1714yes—
1193C22×C4C24×C1711yescharacteristic
1194C22×C4C24×C1711yescharacteristic
1195C22×C4C24×C1711yescharacteristic
1196C22×C4C24×C1711yescharacteristic
1197C22×C4C24×C1711yescharacteristic
1198C22×C4C24×C1711yescharacteristic
1199C22×C4C24×C1711yescharacteristic
1200C22×C4C24×C1711yescharacteristic
1201C22×C4C24×C1711yescharacteristic
1202C22×C4C24×C1711yescharacteristic
1203C22×C4C24×C1711yescharacteristic
1204C22×C4C24×C1711yescharacteristic
1205C22×C4C24×C1711yescharacteristic
1206C22×C4C24×C1711yescharacteristic
1207C22×C4C24×C1711yescharacteristic
1208C22×C4C24×C1711yescharacteristic
1209C22×C4C24×C1711yescharacteristic
1210C22×C4C24×C1711yescharacteristic
1211C22×C4C24×C1711yescharacteristic
1212C22×C4C24×C1711yescharacteristic
1213C22×C4C24×C1711yescharacteristic
1214C22×C4C24×C1711yescharacteristic
1215C22×C4C24×C1711yescharacteristic
1216C22×C4C24×C1711yescharacteristic
1217C22×C4C24×C1711yescharacteristic
1218C22×C4C24×C1711yescharacteristic
1219C22×C4C24×C1711yescharacteristic
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4C22×C4×C1714yes—
1239C4⋊C4C22×C4×C1714yes—
1240C4⋊C4C22×C4×C1714yes—
1241C4⋊C4C22×C4×C1714yes—
1242C4⋊C4C22×C4×C1714yes—
1243C4⋊C4C22×C4×C1714yes—
1244C4⋊C4C22×C4×C1714yes—
1245C4⋊C4C22×C4×C1714yes—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4C22×C4×C1714yes—
1270C22⋊C4C22×C4×C1714yes—
1271C22⋊C4C22×C4×C1714yes—
1272C22⋊C4C22×C4×C1714yes—
1273C22⋊C4C22×C4×C1714yes—
1274C22⋊C4C22×C4×C1714yes—
1275C22⋊C4C22×C4×C1714yes—
1276C22⋊C4C22×C4×C1714yes—
1277C22⋊C4C22×C4×C1714yes—
1278C22⋊C4C22×C4×C1714yes—
1279C22⋊C4C22×C4×C1714yes—
1280C22⋊C4C22×C4×C1714yes—
1281C22⋊C4C22×C4×C1714yes—
1282C22⋊C4C22×C4×C1714yes—
1283C22⋊C4#41×C1714yes—
1284C42—22no—
1285C42—22no—
1286C42—22no—
1287C42—22no—
1288C42—22no—
1289C42—22no—
1290C42—22no—
1291C42—22no—
1292C42—22no—
1293C42—22no—
1294C42—41no—
1295C42—41no—
1296C42—41no—
1297C42—41no—
1298C42—41no—
1299C42—41no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42C22×C4×C1714yes—
1311C42C22×C4×C1714yes—
1312C42C22×C4×C1714yes—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—28no—
1336C23—44no—
1337C23—44no—
1338C23—82no—
1339C23—82no—
1340C23—82no—
1341C23—82no—
1342C23C23×C4×C1712yes—
1343C23C23×C4×C1712yes—
1344C23C23×C4×C1712yes—
1345C23C23×C4×C1712yes—
1346C23C2×#41×C1712yes—
1347C23C2×#41×C1712yes—
1348C23C25×C1711yescharacteristic
1349Q8—44no—
1350D4—28no—
1351D4—44no—
1352D4—44no—
1353C2×C4—28no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
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—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—82no—
1426C2×C4—82no—
1427C2×C4—82no—
1428C2×C4—82no—
1429C2×C4—82no—
1430C2×C4—82no—
1431C2×C4C23×C4×C1712yes—
1432C2×C4C23×C4×C1712yes—
1433C2×C4C23×C4×C1712yes—
1434C2×C4C23×C4×C1712yes—
1435C2×C4C23×C4×C1712yes—
1436C2×C4C23×C4×C1712yes—
1437C2×C4C23×C4×C1712yes—
1438C2×C4C23×C4×C1712yes—
1439C2×C4C23×C4×C1712yes—
1440C2×C4C23×C4×C1712yes—
1441C2×C4C23×C4×C1712yes—
1442C2×C4C2×#41×C1712yes—
1443C2×C4C2×#41×C1712yes—
1444C2×C4C2×#41×C1712yes—
1445C2×C4C2×#41×C1712yes—
1446C2×C4C17×H(5,𝔽2)12yes—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—88no—
1475C22C4×#41×C1714yes—
1476C22C24×C4×C1711yescharacteristic
1477C22C22×#41×C1711yescharacteristic
1478C22C22×#41×C1711yescharacteristic
1479C22C2×C17×H(5,𝔽2)11yescharacteristic
1480C22C17×#58511yescharacteristic
1481C22C17×#58511yescharacteristic
1482C22C17×#58511yescharacteristic
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—22no—
1497C4—22no—
1498C4—22no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C2—24no—
1511C2—42no—
1512C2—42no—
1513C2—42no—
1514C2C2×C4×#41×C1711yescharacteristic
1515C2C17×#342811yescharacteristic
1516C2C4×C17×H(5,𝔽2)11yescharacteristic
1517C2C17×#349111yescharacteristic
1518C2C17×#349411yescharacteristic
1519C2C17×#351411yescharacteristic
1520C2C17×#352111yescharacteristic
subgroupG/H
center, socleC23×C17C25
commutatorC22C24×C4×C17
Frattini, cosocleC23C25×C17
prime radicalC2×C17×#120C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C17 ◁ G

Complements

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

NH ≅ G/Ntype
2. C17×#2374C2semidirect
3. C17×#2373C2semidirect
4. C17×#2373C2semidirect
5. C17×#2372C2semidirect
6. C17×#2362C2semidirect
7. C17×#2360C2semidirect
8. C17×#2359C2semidirect
9. C17×#2359C2semidirect
11. C17×#2353C2semidirect
12. C17×#2352C2semidirect
13. C17×#2346C2semidirect
14. C17×#2343C2semidirect
15. C17×#2342C2semidirect
16. C17×#2342C2semidirect
17. C17×#2335C2semidirect
18. C17×#2335C2semidirect
19. C17×#2334C2semidirect
20. C17×#2332C2semidirect
21. C17×#2329C2semidirect
23. C4×C17×#126C2semidirect
24. C4×C17×#124C2semidirect
25. C4×C17×#123C2semidirect
26. C17×#2298C2semidirect
27. C17×#2293C2semidirect
28. C2×C17×#388C2semidirect
29. C17×#2275C2semidirect
30. C17×#2273C2semidirect
31. C4×C17×#117C2semidirect
32. C17×#551C4semidirect
42. C2×C4×Q8×C17C22semidirect
52. C2×C17×#117C22semidirect
60. C17×#391C22semidirect
61. C17×#391C22semidirect
62. C17×#391C22semidirect
66. C17×#389C22semidirect
67. C17×#389C22semidirect
68. C17×#389C22semidirect
69. C17×#389C22semidirect
70. C17×#389C22semidirect
71. C17×#389C22semidirect
94. C17×#388C22semidirect
95. C17×#388C22semidirect
96. C17×#388C22semidirect
97. C17×#388C22semidirect
98. C17×#388C22semidirect
99. C17×#388C22semidirect
100. C17×#387C22semidirect
101. C17×#387C22semidirect
102. C17×#387C22semidirect
103. C17×#387C22semidirect
104. C17×#387C22semidirect
105. C17×#387C22semidirect
106. C17×#387C22semidirect
107. C17×#387C22semidirect
108. C17×#387C22semidirect
109. C17×#387C22semidirect
110. C17×#387C22semidirect
111. C17×#387C22semidirect
112. C17×#387C22semidirect
113. C17×#387C22semidirect
114. C17×#387C22semidirect
115. C17×#387C22semidirect
129. C17×#385C22semidirect
130. C17×#383C22semidirect
131. C17×#382C22semidirect
132. C17×#382C22semidirect
137. C17×#380C22semidirect
139. C4×C4⋊C4×C17C22semidirect
140. C4×C4⋊C4×C17C22semidirect
141. C4×C4⋊C4×C17C22semidirect
142. C4×C4⋊C4×C17C22semidirect
143. C4×C4⋊C4×C17C22semidirect
144. C4×C4⋊C4×C17C22semidirect
145. C4×C4⋊C4×C17C22semidirect
146. C4×C4⋊C4×C17C22semidirect
147. C4×C4⋊C4×C17C22semidirect
148. C4×C4⋊C4×C17C22semidirect
149. C4×C4⋊C4×C17C22semidirect
150. C4×C4⋊C4×C17C22semidirect
151. C4×C4⋊C4×C17C22semidirect
173. C4×C22⋊C4×C17C22semidirect
174. C4×C22⋊C4×C17C22semidirect
175. C4×C22⋊C4×C17C22semidirect
176. C4×C22⋊C4×C17C22semidirect
177. C4×C22⋊C4×C17C22semidirect
178. C4×C22⋊C4×C17C22semidirect
179. C17×#376C22semidirect
180. C17×#376C22semidirect
181. C17×#376C22semidirect
182. C17×#376C22semidirect
185. C2×C17×#95C22semidirect
186. C43×C17C22semidirect
187. C43×C17C22semidirect
206. C17×#126C2×C4semidirect
207. C17×#126C2×C4semidirect
208. C17×#124C2×C4semidirect
209. C17×#123C2×C4semidirect
210. C17×#123C2×C4semidirect
211. C17×#123C2×C4semidirect
212. C17×C22⋊Q8C2×C4semidirect
213. C17×C22⋊Q8C2×C4semidirect
219. C4×D4×C17C2×C4semidirect
220. C4×D4×C17C2×C4semidirect
224. C17×#117C2×C4semidirect
225. C17×#117C2×C4semidirect
256. C2×C22⋊C4×C17C2×C4semidirect
257. C2×C22⋊C4×C17C2×C4semidirect
552. #34303C17direct (N × H)
688. #2374C2×C17semidirect
689. #2373C2×C17semidirect
690. #2373C2×C17semidirect
691. #2372C2×C17semidirect
692. #2362C2×C17semidirect
693. #2360C2×C17semidirect
694. #2359C2×C17semidirect
695. #2359C2×C17semidirect
697. #2353C2×C17semidirect
698. #2352C2×C17semidirect
699. #2346C2×C17semidirect
700. #2343C2×C17semidirect
701. #2342C2×C17semidirect
702. #2342C2×C17semidirect
703. #2335C2×C17semidirect
704. #2335C2×C17semidirect
705. #2334C2×C17semidirect
706. #2332C2×C17semidirect
707. #2329C2×C17semidirect
709. C4×#126C2×C17semidirect
710. C4×#124C2×C17semidirect
711. C4×#123C2×C17semidirect
712. #2298C2×C17semidirect
713. #2293C2×C17semidirect
714. C2×#388C2×C17semidirect
715. #2275C2×C17semidirect
716. #2273C2×C17semidirect
717. C4×#117C2×C17semidirect
781. #551C4×C17semidirect
791. C2×C4×Q8C22×C17semidirect
801. C2×#117C22×C17semidirect
809. #391C22×C17semidirect
810. #391C22×C17semidirect
811. #391C22×C17semidirect
815. #389C22×C17semidirect
816. #389C22×C17semidirect
817. #389C22×C17semidirect
818. #389C22×C17semidirect
819. #389C22×C17semidirect
820. #389C22×C17semidirect
843. #388C22×C17semidirect
844. #388C22×C17semidirect
845. #388C22×C17semidirect
846. #388C22×C17semidirect
847. #388C22×C17semidirect
848. #388C22×C17semidirect
849. #387C22×C17semidirect
850. #387C22×C17semidirect
851. #387C22×C17semidirect
852. #387C22×C17semidirect
853. #387C22×C17semidirect
854. #387C22×C17semidirect
855. #387C22×C17semidirect
856. #387C22×C17semidirect
857. #387C22×C17semidirect
858. #387C22×C17semidirect
859. #387C22×C17semidirect
860. #387C22×C17semidirect
861. #387C22×C17semidirect
862. #387C22×C17semidirect
863. #387C22×C17semidirect
864. #387C22×C17semidirect
878. #385C22×C17semidirect
879. #383C22×C17semidirect
880. #382C22×C17semidirect
881. #382C22×C17semidirect
886. #380C22×C17semidirect
888. C4×C4⋊C4C22×C17semidirect
889. C4×C4⋊C4C22×C17semidirect
890. C4×C4⋊C4C22×C17semidirect
891. C4×C4⋊C4C22×C17semidirect
892. C4×C4⋊C4C22×C17semidirect
893. C4×C4⋊C4C22×C17semidirect
894. C4×C4⋊C4C22×C17semidirect
895. C4×C4⋊C4C22×C17semidirect
896. C4×C4⋊C4C22×C17semidirect
897. C4×C4⋊C4C22×C17semidirect
898. C4×C4⋊C4C22×C17semidirect
899. C4×C4⋊C4C22×C17semidirect
900. C4×C4⋊C4C22×C17semidirect
922. C4×C22⋊C4C22×C17semidirect
923. C4×C22⋊C4C22×C17semidirect
924. C4×C22⋊C4C22×C17semidirect
925. C4×C22⋊C4C22×C17semidirect
926. C4×C22⋊C4C22×C17semidirect
927. C4×C22⋊C4C22×C17semidirect
928. #376C22×C17semidirect
929. #376C22×C17semidirect
930. #376C22×C17semidirect
931. #376C22×C17semidirect
934. C2×#95C22×C17semidirect
935. C43C22×C17semidirect
936. C43C22×C17semidirect
966. #126C2×C4×C17semidirect
967. #126C2×C4×C17semidirect
968. #124C2×C4×C17semidirect
969. #123C2×C4×C17semidirect
970. #123C2×C4×C17semidirect
971. #123C2×C4×C17semidirect
972. C22⋊Q8C2×C4×C17semidirect
973. C22⋊Q8C2×C4×C17semidirect
979. C4×D4C2×C4×C17semidirect
980. C4×D4C2×C4×C17semidirect
984. #117C2×C4×C17semidirect
985. #117C2×C4×C17semidirect
1016. C2×C22⋊C4C2×C4×C17semidirect
1017. C2×C22⋊C4C2×C4×C17semidirect
1130. C17#34303direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C17×#5512
C17×#23742
C17×#23732
C17×#23722
C17×#23622
C17×#23602
C17×#23592
C17×#23582
C17×#23532
C17×#23522
C17×#23462
C17×#23432
C17×#23422
C17×#23352
C17×#23342
C17×#23322
C17×#23292
C17×#23212
C4×C17×#1262
C4×C17×#1242
C4×C17×#1232
C17×#22982
C17×#22932
C2×C17×#3882
C17×#22752
C17×#22732
C4×C17×#1172
#3430317