Finite Group Databasebeta

← C17×#34296 #16892040

Subgroups — C17×#34296 #16892040

Order 4352.

2612 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C17×#551C211yesmaximal, characteristic
2C17×#2373C211yesmaximal, characteristic, complemented
3C17×#2373C211yesmaximal, characteristic, complemented
4C17×#2368C211yesmaximal, characteristic, complemented
5C17×#2367C211yesmaximal, characteristic, complemented
6C17×#2360C211yesmaximal, characteristic, complemented
7C17×#2359C211yesmaximal, characteristic, complemented
8C17×#2359C211yesmaximal, characteristic, complemented
9C17×#2359C211yesmaximal, characteristic, complemented
10C17×#2358C211yesmaximal, characteristic
11C17×#2352C211yesmaximal, characteristic, complemented
12C17×#2349C211yesmaximal, characteristic, complemented
13C17×#2343C211yesmaximal, characteristic, complemented
14C17×#2343C211yesmaximal, characteristic, complemented
15C17×#2342C211yesmaximal, characteristic, complemented
16C17×#2342C211yesmaximal, characteristic, complemented
17C17×#2337C211yesmaximal, characteristic, complemented
18C17×#2335C211yesmaximal, characteristic, complemented
19C17×#2334C211yesmaximal, characteristic, complemented
20C17×#2334C211yesmaximal, characteristic, complemented
21C17×#2329C211yesmaximal, characteristic, complemented
22C17×#2322C211yesmaximal, characteristic, complemented
23C4×C17×C22⋊Q8C211yesmaximal, characteristic, complemented
24C4×C17×#123C211yesmaximal, characteristic, complemented
25C4×C17×#120C211yesmaximal, characteristic
26C17×#2296C211yesmaximal, characteristic, complemented
27C17×#2290C211yesmaximal, characteristic, complemented
28C2×C17×#385C211yesmaximal, characteristic, complemented
29C17×#2275C211yesmaximal, characteristic, complemented
30C17×#2274C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C17C211yesmaximal, characteristic, complemented
32C24×C4×C17C2211yescharacteristic
33C17×#551C4116yescomplemented
34C2×C17×#126C2211yescharacteristic
35C2×C17×#126C2211yescharacteristic
36C2×C17×#124C2211yescharacteristic
37C2×C17×#123C2211yescharacteristic
38C2×C17×#123C2211yescharacteristic
39C2×C17×#123C2211yescharacteristic
40C2×C17×C22⋊Q8C2211yescharacteristic
41C2×C17×C22⋊Q8C2211yescharacteristic
42C2×C17×#120C2211yescharacteristic
43C2×C4×Q8×C17C2211yescharacteristic, complemented
44C2×C4×D4×C17C2211yescharacteristic
45C2×C4×D4×C17C2211yescharacteristic
46C2×C4×D4×C17C2211yescharacteristic
47C2×C4×D4×C17C2211yescharacteristic
48C2×C4×D4×C17C2211yescharacteristic
49C2×C4×D4×C17C2211yescharacteristic
50C2×C4×D4×C17C2211yescharacteristic
51C2×C17×#117C2211yescharacteristic
52C2×C17×#117C2211yescharacteristic
53C2×C17×#117C2211yescharacteristic
54C2×C17×#117C2211yescharacteristic
55C2×C17×#117C2211yescharacteristic, complemented
56C22×C4⋊C4×C17C2211yescharacteristic
57C22×C4⋊C4×C17C2211yescharacteristic
58C22×C22⋊C4×C17C2211yescharacteristic
59C22×C22⋊C4×C17C2211yescharacteristic
60C22×C22⋊C4×C17C2211yescharacteristic
61C22×C22⋊C4×C17C2211yescharacteristic
62C22×C42×C17C2211yescharacteristic
63C22×C42×C17C2211yescharacteristic
64C17×#391C2211yescharacteristic, complemented
65C17×#391C2211yescharacteristic, complemented
66C17×#391C2211yescharacteristic, complemented
67C17×#390C2211yescharacteristic
68C17×#389C2211yescharacteristic, complemented
69C17×#389C2211yescharacteristic, complemented
70C17×#389C2211yescharacteristic, complemented
71C17×#389C2211yescharacteristic, complemented
72C17×#389C2211yescharacteristic, complemented
73C17×#389C2211yescharacteristic, complemented
74C17×#389C2211yescharacteristic, complemented
75C17×#389C2211yescharacteristic, complemented
76C17×#388C2211yescharacteristic
77C17×#388C2211yescharacteristic
78C17×#388C2211yescharacteristic
79C17×#388C2211yescharacteristic
80C17×#388C2211yescharacteristic
81C17×#388C2211yescharacteristic
82C17×#388C2211yescharacteristic
83C17×#388C2211yescharacteristic
84C17×#388C2211yescharacteristic
85C17×#388C2211yescharacteristic
86C17×#388C2211yescharacteristic, complemented
87C17×#388C2211yescharacteristic, complemented
88C17×#388C2211yescharacteristic, complemented
89C17×#388C2211yescharacteristic, complemented
90C17×#388C2211yescharacteristic, complemented
91C17×#388C2211yescharacteristic, complemented
92C17×#387C2211yescharacteristic, complemented
93C17×#387C2211yescharacteristic, complemented
94C17×#387C2211yescharacteristic, complemented
95C17×#387C2211yescharacteristic, complemented
96C17×#387C2211yescharacteristic, complemented
97C17×#387C2211yescharacteristic, complemented
98C17×#387C2211yescharacteristic, complemented
99C17×#387C2211yescharacteristic, 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×#386C2211yescharacteristic
109C17×#386C2211yescharacteristic
110C17×#386C2211yescharacteristic
111C17×#386C2211yescharacteristic
112C17×#386C2211yescharacteristic
113C17×#386C2211yescharacteristic
114C17×#385C2211yescharacteristic
115C17×#385C2211yescharacteristic
116C17×#385C2211yescharacteristic
117C17×#385C2211yescharacteristic
118C17×#385C2211yescharacteristic
119C17×#385C2211yescharacteristic
120C17×#385C2211yescharacteristic
121C17×#385C2211yescharacteristic
122C17×#385C2211yescharacteristic
123C17×#385C2211yescharacteristic
124C17×#385C2211yescharacteristic
125C17×#385C2211yescharacteristic
126C17×#385C2211yescharacteristic
127C17×#385C2211yescharacteristic
128C17×#385C2211yescharacteristic
129C17×#385C2211yescharacteristic
130C17×#385C2211yescharacteristic
131C17×#385C2211yescharacteristic, complemented
132C17×#385C2211yescharacteristic, complemented
133C17×#385C2211yescharacteristic, complemented
134C17×#383C2211yescharacteristic, complemented
135C17×#382C2211yescharacteristic, complemented
136C17×#382C2211yescharacteristic, complemented
137C17×#381C2211yescharacteristic
138C17×#381C2211yescharacteristic
139C17×#380C2211yescharacteristic
140C17×#380C2211yescharacteristic
141C17×#380C2211yescharacteristic, complemented
142C17×#379C2211yescharacteristic
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×C4⋊C4×C17C2211yescharacteristic, complemented
153C4×C4⋊C4×C17C2211yescharacteristic, complemented
154C4×C4⋊C4×C17C2211yescharacteristic, complemented
155C4×C4⋊C4×C17C2211yescharacteristic, complemented
156C4×C4⋊C4×C17C2211yescharacteristic, complemented
157C4×C4⋊C4×C17C2211yescharacteristic, complemented
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
174C4×C22⋊C4×C17C2211yescharacteristic
175C4×C22⋊C4×C17C2211yescharacteristic
176C4×C22⋊C4×C17C2211yescharacteristic
177C4×C22⋊C4×C17C2211yescharacteristic, complemented
178C4×C22⋊C4×C17C2211yescharacteristic, complemented
179C4×C22⋊C4×C17C2211yescharacteristic, complemented
180C4×C22⋊C4×C17C2211yescharacteristic, complemented
181C17×#376C2211yescharacteristic, complemented
182C17×#376C2211yescharacteristic, complemented
183C2×C17×#95C2211yescharacteristic
184C2×C17×#95C2211yescharacteristic
185C2×C17×#95C2211yescharacteristic
186C2×C17×#95C2211yescharacteristic
187C2×C17×#95C2211yescharacteristic, complemented
188C25×C17C2311yescharacteristic
189C22×Q8×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C23×C4×C17—24no—
194C23×C4×C17—42no—
195C23×C4×C17—42no—
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
206C23×C4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C23×C4×C17C2311yescharacteristic
209C23×C4×C17C2311yescharacteristic
210C23×C4×C17C2311yescharacteristic
211C23×C4×C17C2311yescharacteristic
212C23×C4×C17C2311yescharacteristic
213C17×#126C2×C418yescomplemented
214C17×#126C2×C418yescomplemented
215C17×#124C2×C418yescomplemented
216C17×#123C2×C418yescomplemented
217C17×#123C2×C418yescomplemented
218C17×#123C2×C418yescomplemented
219C17×C22⋊Q8C2×C418yescomplemented
220C17×C22⋊Q8C2×C418yescomplemented
221C17×#120C2×C418yes—
222C4×Q8×C17—42no—
223C4×D4×C17—24no—
224C4×D4×C17—24no—
225C4×D4×C17—42no—
226C4×D4×C17—42no—
227C4×D4×C17—42no—
228C4×D4×C17C2×C418yescomplemented
229C4×D4×C17C2×C418yescomplemented
230C17×#117—24no—
231C17×#117—42no—
232C17×#117—42no—
233C17×#117C2×C418yescomplemented
234C17×#117C2×C418yescomplemented
235C2×C4⋊C4×C17—24no—
236C2×C4⋊C4×C17—42no—
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×C4⋊C4×C17C2311yescharacteristic
260C2×C4⋊C4×C17C2311yescharacteristic
261C2×C4⋊C4×C17C2311yescharacteristic
262C2×C4⋊C4×C17C2311yescharacteristic
263C2×C4⋊C4×C17C2311yescharacteristic
264C2×C4⋊C4×C17C2311yescharacteristic
265C2×C4⋊C4×C17C2311yescharacteristic
266C2×C4⋊C4×C17C2311yescharacteristic
267C2×C22⋊C4×C17—24no—
268C2×C22⋊C4×C17—42no—
269C2×C22⋊C4×C17C2×C418yescomplemented
270C2×C22⋊C4×C17C2×C418yescomplemented
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×C42×C17—42no—
306C2×C42×C17—42no—
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
326C2×C42×C17C2311yescharacteristic
327C2×C42×C17C2311yescharacteristic
328C2×C42×C17C2311yescharacteristic
329C2×C42×C17C2311yescharacteristic
330C2×C42×C17C2311yescharacteristic
331C2×C42×C17C2311yescharacteristic
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
370C17×#95C2311yescharacteristic
371C17×#95C2311yescharacteristic
372C17×#95C2311yescharacteristic
373C17×#95C2311yescharacteristic
374C17×#95C2311yescharacteristic
375C17×#95C2311yescharacteristic
376C24×C17—22no—
377C24×C17—22no—
378C24×C17—22no—
379C24×C17—22no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17C22×C414yes—
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C2×Q8×C17—41no—
388C2×Q8×C17—41no—
389C2×Q8×C17C22×C414yescomplemented
390C2×D4×C17—22no—
391C2×D4×C17—22no—
392C2×D4×C17—22no—
393C2×D4×C17—22no—
394C2×D4×C17—41no—
395C2×D4×C17—41no—
396C2×D4×C17C22×C414yes—
397C2×D4×C17C22×C414yes—
398C2×D4×C17C22×C414yes—
399C22×C4×C17—22no—
400C22×C4×C17—22no—
401C22×C4×C17—22no—
402C22×C4×C17—22no—
403C22×C4×C17—22no—
404C22×C4×C17—22no—
405C22×C4×C17—22no—
406C22×C4×C17—22no—
407C22×C4×C17—22no—
408C22×C4×C17—22no—
409C22×C4×C17—22no—
410C22×C4×C17—22no—
411C22×C4×C17—22no—
412C22×C4×C17—22no—
413C22×C4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—22no—
416C22×C4×C17—22no—
417C22×C4×C17—22no—
418C22×C4×C17—22no—
419C22×C4×C17—22no—
420C22×C4×C17—22no—
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×C17—41no—
439C22×C4×C17—41no—
440C22×C4×C17—41no—
441C22×C4×C17—41no—
442C22×C4×C17—41no—
443C22×C4×C17—41no—
444C22×C4×C17—416no—
445C22×C4×C17C22×C414yes—
446C22×C4×C17C22×C414yes—
447C22×C4×C17C22×C414yes—
448C22×C4×C17C22×C414yes—
449C22×C4×C17C22×C414yescomplemented
450C22×C4×C17#4114yes—
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
468C22×C4×C17C2411yescharacteristic
469C22×C4×C17C2411yescharacteristic
470C22×C4×C17C2411yescharacteristic
471C22×C4×C17C2411yescharacteristic
472C22×C4×C17C2411yescharacteristic
473C22×C4×C17C2411yescharacteristic
474C22×C4×C17C2411yescharacteristic
475C22×C4×C17C2411yescharacteristic
476C22×C4×C17C2411yescharacteristic
477C22×C4×C17C2411yescharacteristic
478C4⋊C4×C17—22no—
479C4⋊C4×C17—22no—
480C4⋊C4×C17—22no—
481C4⋊C4×C17—22no—
482C4⋊C4×C17—22no—
483C4⋊C4×C17—22no—
484C4⋊C4×C17—22no—
485C4⋊C4×C17—22no—
486C4⋊C4×C17—22no—
487C4⋊C4×C17—22no—
488C4⋊C4×C17—22no—
489C4⋊C4×C17—41no—
490C4⋊C4×C17—41no—
491C4⋊C4×C17—41no—
492C4⋊C4×C17—41no—
493C4⋊C4×C17—41no—
494C4⋊C4×C17—41no—
495C4⋊C4×C17—41no—
496C4⋊C4×C17—41no—
497C4⋊C4×C17—41no—
498C4⋊C4×C17—41no—
499C4⋊C4×C17—41no—
500C4⋊C4×C17C22×C414yescomplemented
501C4⋊C4×C17C22×C414yescomplemented
502C4⋊C4×C17C22×C414yescomplemented
503C4⋊C4×C17C22×C414yescomplemented
504C4⋊C4×C17C22×C414yescomplemented
505C4⋊C4×C17C22×C414yescomplemented
506C4⋊C4×C17C22×C414yescomplemented
507C4⋊C4×C17C22×C414yescomplemented
508C22⋊C4×C17—22no—
509C22⋊C4×C17—22no—
510C22⋊C4×C17—22no—
511C22⋊C4×C17—22no—
512C22⋊C4×C17—22no—
513C22⋊C4×C17—22no—
514C22⋊C4×C17—22no—
515C22⋊C4×C17—22no—
516C22⋊C4×C17—22no—
517C22⋊C4×C17—22no—
518C22⋊C4×C17—22no—
519C22⋊C4×C17—22no—
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×C17—41no—
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×C414yescomplemented
539C22⋊C4×C17C22×C414yescomplemented
540C22⋊C4×C17C22×C414yescomplemented
541C22⋊C4×C17#4114yes—
542C42×C17—22no—
543C42×C17—22no—
544C42×C17—22no—
545C42×C17—22no—
546C42×C17—22no—
547C42×C17—22no—
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×C17—41no—
561C42×C17—41no—
562C42×C17—41no—
563C42×C17—41no—
564C42×C17C22×C414yescomplemented
565C42×C17C22×C414yescomplemented
566C42×C17C22×C414yescomplemented
567#34296C1711yesmaximal, characteristic, direct product factor, Sylow
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—28no—
577C23×C17—28no—
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—44no—
591C23×C17—44no—
592C23×C17—44no—
593C23×C17—44no—
594C23×C17—44no—
595C23×C17C23×C412yes—
596C23×C17C23×C412yes—
597C23×C17C23×C412yes—
598C23×C17C23×C412yes—
599C23×C17C2×#4112yes—
600C23×C17C2×#4112yes—
601C23×C17H(5,𝔽2)12yes—
602C23×C172−1+412yes—
603C23×C17C2511yescharacteristic
604Q8×C17—44no—
605D4×C17—28no—
606D4×C17—28no—
607D4×C17—44no—
608C2×C4×C17—28no—
609C2×C4×C17—28no—
610C2×C4×C17—28no—
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—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—44no—
677C2×C4×C17—44no—
678C2×C4×C17—44no—
679C2×C4×C17—44no—
680C2×C4×C17—44no—
681C2×C4×C17—44no—
682C2×C4×C17—44no—
683C2×C4×C17—44no—
684C2×C4×C17—44no—
685C2×C4×C17—44no—
686C2×C4×C17—82no—
687C2×C4×C17—82no—
688C2×C4×C17—82no—
689C2×C4×C17—82no—
690C2×C4×C17C23×C412yes—
691C2×C4×C17C23×C412yes—
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×C17C2×#4112yes—
702C2×C4×C17C2×#4112yes—
703C2×C4×C17C2×#4112yes—
704C2×C4×C17C2×#4112yes—
705C2×C4×C17H(5,𝔽2)12yes—
706C2×#551C2×C1711yescharacteristic
707#2373C2×C1711yescharacteristic, complemented
708#2373C2×C1711yescharacteristic, complemented
709#2368C2×C1711yescharacteristic, complemented
710#2367C2×C1711yescharacteristic, complemented
711#2360C2×C1711yescharacteristic, complemented
712#2359C2×C1711yescharacteristic, complemented
713#2359C2×C1711yescharacteristic, complemented
714#2359C2×C1711yescharacteristic, complemented
715#2358C2×C1711yescharacteristic
716#2352C2×C1711yescharacteristic, complemented
717#2349C2×C1711yescharacteristic, complemented
718#2343C2×C1711yescharacteristic, complemented
719#2343C2×C1711yescharacteristic, complemented
720#2342C2×C1711yescharacteristic, complemented
721#2342C2×C1711yescharacteristic, complemented
722#2337C2×C1711yescharacteristic, complemented
723#2335C2×C1711yescharacteristic, complemented
724#2334C2×C1711yescharacteristic, complemented
725#2334C2×C1711yescharacteristic, complemented
726#2329C2×C1711yescharacteristic, complemented
727#2322C2×C1711yescharacteristic, complemented
728C4×C22⋊Q8C2×C1711yescharacteristic, complemented
729C4×#123C2×C1711yescharacteristic, complemented
730C4×#120C2×C1711yescharacteristic
731#2296C2×C1711yescharacteristic, complemented
732#2290C2×C1711yescharacteristic, complemented
733C2×#385C2×C1711yescharacteristic, complemented
734#2275C2×C1711yescharacteristic, complemented
735#2274C2×C1711yescharacteristic, complemented
736C2×C4×C22⋊C4C2×C1711yescharacteristic, complemented
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—22no—
751C22×C17—22no—
752C22×C17—22no—
753C22×C17—22no—
754C22×C17—22no—
755C22×C17—416no—
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×C17C4×#4114yes—
765C22×C17#52014yes—
766C22×C17C24×C411yescharacteristic
767C22×C17C22×#4111yescharacteristic
768C22×C17C22×#4111yescharacteristic
769C22×C17C2×H(5,𝔽2)11yescharacteristic
770C22×C17C2×H(5,𝔽2)11yescharacteristic
771C22×C17C2×2−1+411yescharacteristic
772C22×C17#58511yescharacteristic
773C4×C17—22no—
774C4×C17—22no—
775C4×C17—22no—
776C4×C17—22no—
777C4×C17—22no—
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—41no—
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—
800C24×C4C22×C1711yescharacteristic
801#551C4×C17116yescomplemented
802C2×#126C22×C1711yescharacteristic
803C2×#126C22×C1711yescharacteristic
804C2×#124C22×C1711yescharacteristic
805C2×#123C22×C1711yescharacteristic
806C2×#123C22×C1711yescharacteristic
807C2×#123C22×C1711yescharacteristic
808C2×C22⋊Q8C22×C1711yescharacteristic
809C2×C22⋊Q8C22×C1711yescharacteristic
810C2×#120C22×C1711yescharacteristic
811C2×C4×Q8C22×C1711yescharacteristic, complemented
812C2×C4×D4C22×C1711yescharacteristic
813C2×C4×D4C22×C1711yescharacteristic
814C2×C4×D4C22×C1711yescharacteristic
815C2×C4×D4C22×C1711yescharacteristic
816C2×C4×D4C22×C1711yescharacteristic
817C2×C4×D4C22×C1711yescharacteristic
818C2×C4×D4C22×C1711yescharacteristic
819C2×#117C22×C1711yescharacteristic
820C2×#117C22×C1711yescharacteristic
821C2×#117C22×C1711yescharacteristic
822C2×#117C22×C1711yescharacteristic
823C2×#117C22×C1711yescharacteristic, complemented
824C22×C4⋊C4C22×C1711yescharacteristic
825C22×C4⋊C4C22×C1711yescharacteristic
826C22×C22⋊C4C22×C1711yescharacteristic
827C22×C22⋊C4C22×C1711yescharacteristic
828C22×C22⋊C4C22×C1711yescharacteristic
829C22×C22⋊C4C22×C1711yescharacteristic
830C22×C42C22×C1711yescharacteristic
831C22×C42C22×C1711yescharacteristic
832#391C22×C1711yescharacteristic, complemented
833#391C22×C1711yescharacteristic, complemented
834#391C22×C1711yescharacteristic, complemented
835#390C22×C1711yescharacteristic
836#389C22×C1711yescharacteristic, complemented
837#389C22×C1711yescharacteristic, complemented
838#389C22×C1711yescharacteristic, complemented
839#389C22×C1711yescharacteristic, complemented
840#389C22×C1711yescharacteristic, complemented
841#389C22×C1711yescharacteristic, complemented
842#389C22×C1711yescharacteristic, complemented
843#389C22×C1711yescharacteristic, complemented
844#388C22×C1711yescharacteristic
845#388C22×C1711yescharacteristic
846#388C22×C1711yescharacteristic
847#388C22×C1711yescharacteristic
848#388C22×C1711yescharacteristic
849#388C22×C1711yescharacteristic
850#388C22×C1711yescharacteristic
851#388C22×C1711yescharacteristic
852#388C22×C1711yescharacteristic
853#388C22×C1711yescharacteristic
854#388C22×C1711yescharacteristic, complemented
855#388C22×C1711yescharacteristic, complemented
856#388C22×C1711yescharacteristic, complemented
857#388C22×C1711yescharacteristic, complemented
858#388C22×C1711yescharacteristic, complemented
859#388C22×C1711yescharacteristic, complemented
860#387C22×C1711yescharacteristic, complemented
861#387C22×C1711yescharacteristic, complemented
862#387C22×C1711yescharacteristic, complemented
863#387C22×C1711yescharacteristic, complemented
864#387C22×C1711yescharacteristic, complemented
865#387C22×C1711yescharacteristic, complemented
866#387C22×C1711yescharacteristic, complemented
867#387C22×C1711yescharacteristic, complemented
868#387C22×C1711yescharacteristic, complemented
869#387C22×C1711yescharacteristic, complemented
870#387C22×C1711yescharacteristic, complemented
871#387C22×C1711yescharacteristic, complemented
872#387C22×C1711yescharacteristic, complemented
873#387C22×C1711yescharacteristic, complemented
874#387C22×C1711yescharacteristic, complemented
875#387C22×C1711yescharacteristic, complemented
876#386C22×C1711yescharacteristic
877#386C22×C1711yescharacteristic
878#386C22×C1711yescharacteristic
879#386C22×C1711yescharacteristic
880#386C22×C1711yescharacteristic
881#386C22×C1711yescharacteristic
882#385C22×C1711yescharacteristic
883#385C22×C1711yescharacteristic
884#385C22×C1711yescharacteristic
885#385C22×C1711yescharacteristic
886#385C22×C1711yescharacteristic
887#385C22×C1711yescharacteristic
888#385C22×C1711yescharacteristic
889#385C22×C1711yescharacteristic
890#385C22×C1711yescharacteristic
891#385C22×C1711yescharacteristic
892#385C22×C1711yescharacteristic
893#385C22×C1711yescharacteristic
894#385C22×C1711yescharacteristic
895#385C22×C1711yescharacteristic
896#385C22×C1711yescharacteristic
897#385C22×C1711yescharacteristic
898#385C22×C1711yescharacteristic
899#385C22×C1711yescharacteristic, complemented
900#385C22×C1711yescharacteristic, complemented
901#385C22×C1711yescharacteristic, complemented
902#383C22×C1711yescharacteristic, complemented
903#382C22×C1711yescharacteristic, complemented
904#382C22×C1711yescharacteristic, complemented
905#381C22×C1711yescharacteristic
906#381C22×C1711yescharacteristic
907#380C22×C1711yescharacteristic
908#380C22×C1711yescharacteristic
909#380C22×C1711yescharacteristic, complemented
910#379C22×C1711yescharacteristic
911C4×C4⋊C4C22×C1711yescharacteristic, complemented
912C4×C4⋊C4C22×C1711yescharacteristic, complemented
913C4×C4⋊C4C22×C1711yescharacteristic, complemented
914C4×C4⋊C4C22×C1711yescharacteristic, complemented
915C4×C4⋊C4C22×C1711yescharacteristic, complemented
916C4×C4⋊C4C22×C1711yescharacteristic, complemented
917C4×C4⋊C4C22×C1711yescharacteristic, complemented
918C4×C4⋊C4C22×C1711yescharacteristic, complemented
919C4×C4⋊C4C22×C1711yescharacteristic, complemented
920C4×C4⋊C4C22×C1711yescharacteristic, complemented
921C4×C4⋊C4C22×C1711yescharacteristic, complemented
922C4×C4⋊C4C22×C1711yescharacteristic, complemented
923C4×C4⋊C4C22×C1711yescharacteristic, complemented
924C4×C4⋊C4C22×C1711yescharacteristic, complemented
925C4×C4⋊C4C22×C1711yescharacteristic, complemented
926C4×C22⋊C4C22×C1711yescharacteristic
927C4×C22⋊C4C22×C1711yescharacteristic
928C4×C22⋊C4C22×C1711yescharacteristic
929C4×C22⋊C4C22×C1711yescharacteristic
930C4×C22⋊C4C22×C1711yescharacteristic
931C4×C22⋊C4C22×C1711yescharacteristic
932C4×C22⋊C4C22×C1711yescharacteristic
933C4×C22⋊C4C22×C1711yescharacteristic
934C4×C22⋊C4C22×C1711yescharacteristic
935C4×C22⋊C4C22×C1711yescharacteristic
936C4×C22⋊C4C22×C1711yescharacteristic
937C4×C22⋊C4C22×C1711yescharacteristic
938C4×C22⋊C4C22×C1711yescharacteristic
939C4×C22⋊C4C22×C1711yescharacteristic
940C4×C22⋊C4C22×C1711yescharacteristic
941C4×C22⋊C4C22×C1711yescharacteristic
942C4×C22⋊C4C22×C1711yescharacteristic
943C4×C22⋊C4C22×C1711yescharacteristic
944C4×C22⋊C4C22×C1711yescharacteristic
945C4×C22⋊C4C22×C1711yescharacteristic, complemented
946C4×C22⋊C4C22×C1711yescharacteristic, complemented
947C4×C22⋊C4C22×C1711yescharacteristic, complemented
948C4×C22⋊C4C22×C1711yescharacteristic, complemented
949#376C22×C1711yescharacteristic, complemented
950#376C22×C1711yescharacteristic, complemented
951C2×#95C22×C1711yescharacteristic
952C2×#95C22×C1711yescharacteristic
953C2×#95C22×C1711yescharacteristic
954C2×#95C22×C1711yescharacteristic
955C2×#95C22×C1711yescharacteristic, complemented
956C2×C17—24no—
957C2×C17—24no—
958C2×C17—42no—
959C2×C17—42no—
960C2×C17C2×C4×#4111yescharacteristic
961C2×C17C2×#52011yescharacteristic
962C2×C17C4×H(5,𝔽2)11yescharacteristic
963C2×C17#349011yescharacteristic
964C2×C17#349511yescharacteristic
965C2×C17#351311yescharacteristic
966C2×C17#352011yescharacteristic
967C25C23×C1711yescharacteristic
968C22×Q8C23×C1711yescharacteristic
969C22×D4C23×C1711yescharacteristic
970C22×D4C23×C1711yescharacteristic
971C22×D4C23×C1711yescharacteristic
972C23×C4—24no—
973C23×C4—42no—
974C23×C4—42no—
975C23×C4C23×C1711yescharacteristic
976C23×C4C23×C1711yescharacteristic
977C23×C4C23×C1711yescharacteristic
978C23×C4C23×C1711yescharacteristic
979C23×C4C23×C1711yescharacteristic
980C23×C4C23×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
992#126C2×C4×C1718yescomplemented
993#126C2×C4×C1718yescomplemented
994#124C2×C4×C1718yescomplemented
995#123C2×C4×C1718yescomplemented
996#123C2×C4×C1718yescomplemented
997#123C2×C4×C1718yescomplemented
998C22⋊Q8C2×C4×C1718yescomplemented
999C22⋊Q8C2×C4×C1718yescomplemented
1000#120C2×C4×C1718yes—
1001C4×Q8—42no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—42no—
1005C4×D4—42no—
1006C4×D4—42no—
1007C4×D4C2×C4×C1718yescomplemented
1008C4×D4C2×C4×C1718yescomplemented
1009#117—24no—
1010#117—42no—
1011#117—42no—
1012#117C2×C4×C1718yescomplemented
1013#117C2×C4×C1718yescomplemented
1014C2×C4⋊C4—24no—
1015C2×C4⋊C4—42no—
1016C2×C4⋊C4C23×C1711yescharacteristic
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×C4⋊C4C23×C1711yescharacteristic
1044C2×C4⋊C4C23×C1711yescharacteristic
1045C2×C4⋊C4C23×C1711yescharacteristic
1046C2×C22⋊C4—24no—
1047C2×C22⋊C4—42no—
1048C2×C22⋊C4C2×C4×C1718yescomplemented
1049C2×C22⋊C4C2×C4×C1718yescomplemented
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×C42—42no—
1085C2×C42—42no—
1086C2×C42C23×C1711yescharacteristic
1087C2×C42C23×C1711yescharacteristic
1088C2×C42C23×C1711yescharacteristic
1089C2×C42C23×C1711yescharacteristic
1090C2×C42C23×C1711yescharacteristic
1091C2×C42C23×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
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
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
1154#95C23×C1711yescharacteristic
1155C17#3429611yescharacteristic, direct product factor, Sylow
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—41no—
1161C24—41no—
1162C24C22×C4×C1714yes—
1163C24C24×C1711yescharacteristic
1164C24C24×C1711yescharacteristic
1165C24C24×C1711yescharacteristic
1166C24C24×C1711yescharacteristic
1167C2×Q8—41no—
1168C2×Q8—41no—
1169C2×Q8C22×C4×C1714yescomplemented
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4C22×C4×C1714yes—
1177C2×D4C22×C4×C1714yes—
1178C2×D4C22×C4×C1714yes—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
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×C4—41no—
1224C22×C4—416no—
1225C22×C4C22×C4×C1714yes—
1226C22×C4C22×C4×C1714yes—
1227C22×C4C22×C4×C1714yes—
1228C22×C4C22×C4×C1714yes—
1229C22×C4C22×C4×C1714yescomplemented
1230C22×C4#41×C1714yes—
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
1253C22×C4C24×C1711yescharacteristic
1254C22×C4C24×C1711yescharacteristic
1255C22×C4C24×C1711yescharacteristic
1256C22×C4C24×C1711yescharacteristic
1257C22×C4C24×C1711yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4C22×C4×C1714yescomplemented
1281C4⋊C4C22×C4×C1714yescomplemented
1282C4⋊C4C22×C4×C1714yescomplemented
1283C4⋊C4C22×C4×C1714yescomplemented
1284C4⋊C4C22×C4×C1714yescomplemented
1285C4⋊C4C22×C4×C1714yescomplemented
1286C4⋊C4C22×C4×C1714yescomplemented
1287C4⋊C4C22×C4×C1714yescomplemented
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4C22×C4×C1714yes—
1308C22⋊C4C22×C4×C1714yes—
1309C22⋊C4C22×C4×C1714yes—
1310C22⋊C4C22×C4×C1714yes—
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×C1714yescomplemented
1319C22⋊C4C22×C4×C1714yescomplemented
1320C22⋊C4C22×C4×C1714yescomplemented
1321C22⋊C4#41×C1714yes—
1322C42—22no—
1323C42—22no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—22no—
1328C42—41no—
1329C42—41no—
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—
1344C42C22×C4×C1714yescomplemented
1345C42C22×C4×C1714yescomplemented
1346C42C22×C4×C1714yescomplemented
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—28no—
1356C23—28no—
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—44no—
1370C23—44no—
1371C23—44no—
1372C23—44no—
1373C23—44no—
1374C23C23×C4×C1712yes—
1375C23C23×C4×C1712yes—
1376C23C23×C4×C1712yes—
1377C23C23×C4×C1712yes—
1378C23C2×#41×C1712yes—
1379C23C2×#41×C1712yes—
1380C23C17×H(5,𝔽2)12yes—
1381C23C17×2−1+412yes—
1382C23C25×C1711yescharacteristic
1383Q8—44no—
1384D4—28no—
1385D4—28no—
1386D4—44no—
1387C2×C4—28no—
1388C2×C4—28no—
1389C2×C4—28no—
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—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—44no—
1456C2×C4—44no—
1457C2×C4—44no—
1458C2×C4—44no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—82no—
1469C2×C4C23×C4×C1712yes—
1470C2×C4C23×C4×C1712yes—
1471C2×C4C23×C4×C1712yes—
1472C2×C4C23×C4×C1712yes—
1473C2×C4C23×C4×C1712yes—
1474C2×C4C23×C4×C1712yes—
1475C2×C4C23×C4×C1712yes—
1476C2×C4C23×C4×C1712yes—
1477C2×C4C23×C4×C1712yes—
1478C2×C4C23×C4×C1712yes—
1479C2×C4C23×C4×C1712yes—
1480C2×C4C2×#41×C1712yes—
1481C2×C4C2×#41×C1712yes—
1482C2×C4C2×#41×C1712yes—
1483C2×C4C2×#41×C1712yes—
1484C2×C4C17×H(5,𝔽2)12yes—
1485C22—22no—
1486C22—22no—
1487C22—22no—
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—416no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22C4×#41×C1714yes—
1513C22C17×#52014yes—
1514C22C24×C4×C1711yescharacteristic
1515C22C22×#41×C1711yescharacteristic
1516C22C22×#41×C1711yescharacteristic
1517C22C2×C17×H(5,𝔽2)11yescharacteristic
1518C22C2×C17×H(5,𝔽2)11yescharacteristic
1519C22C2×C17×2−1+411yescharacteristic
1520C22C17×#58511yescharacteristic
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C2—24no—
1549C2—24no—
1550C2—42no—
1551C2—42no—
1552C2C2×C4×#41×C1711yescharacteristic
1553C2C2×C17×#52011yescharacteristic
1554C2C4×C17×H(5,𝔽2)11yescharacteristic
1555C2C17×#349011yescharacteristic
1556C2C17×#349511yescharacteristic
1557C2C17×#351311yescharacteristic
1558C2C17×#352011yescharacteristic
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×#2373C2semidirect
3. C17×#2373C2semidirect
4. C17×#2368C2semidirect
5. C17×#2367C2semidirect
6. C17×#2360C2semidirect
7. C17×#2359C2semidirect
8. C17×#2359C2semidirect
9. C17×#2359C2semidirect
11. C17×#2352C2semidirect
12. C17×#2349C2semidirect
13. C17×#2343C2semidirect
14. C17×#2343C2semidirect
15. C17×#2342C2semidirect
16. C17×#2342C2semidirect
17. C17×#2337C2semidirect
18. C17×#2335C2semidirect
19. C17×#2334C2semidirect
20. C17×#2334C2semidirect
21. C17×#2329C2semidirect
22. C17×#2322C2semidirect
23. C4×C17×C22⋊Q8C2semidirect
24. C4×C17×#123C2semidirect
26. C17×#2296C2semidirect
27. C17×#2290C2semidirect
28. C2×C17×#385C2semidirect
29. C17×#2275C2semidirect
30. C17×#2274C2semidirect
31. C2×C4×C22⋊C4×C17C2semidirect
33. C17×#551C4semidirect
43. C2×C4×Q8×C17C22semidirect
55. C2×C17×#117C22semidirect
64. C17×#391C22semidirect
65. C17×#391C22semidirect
66. C17×#391C22semidirect
68. C17×#389C22semidirect
69. C17×#389C22semidirect
70. C17×#389C22semidirect
71. C17×#389C22semidirect
72. C17×#389C22semidirect
73. C17×#389C22semidirect
74. C17×#389C22semidirect
75. C17×#389C22semidirect
86. C17×#388C22semidirect
87. C17×#388C22semidirect
88. C17×#388C22semidirect
89. C17×#388C22semidirect
90. C17×#388C22semidirect
91. C17×#388C22semidirect
92. C17×#387C22semidirect
93. C17×#387C22semidirect
94. C17×#387C22semidirect
95. C17×#387C22semidirect
96. C17×#387C22semidirect
97. C17×#387C22semidirect
98. C17×#387C22semidirect
99. C17×#387C22semidirect
100. C17×#387C22semidirect
101. C17×#387C22semidirect
102. C17×#387C22semidirect
103. C17×#387C22semidirect
104. C17×#387C22semidirect
105. C17×#387C22semidirect
106. C17×#387C22semidirect
107. C17×#387C22semidirect
131. C17×#385C22semidirect
132. C17×#385C22semidirect
133. C17×#385C22semidirect
134. C17×#383C22semidirect
135. C17×#382C22semidirect
136. C17×#382C22semidirect
141. C17×#380C22semidirect
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
152. C4×C4⋊C4×C17C22semidirect
153. C4×C4⋊C4×C17C22semidirect
154. C4×C4⋊C4×C17C22semidirect
155. C4×C4⋊C4×C17C22semidirect
156. C4×C4⋊C4×C17C22semidirect
157. C4×C4⋊C4×C17C22semidirect
177. C4×C22⋊C4×C17C22semidirect
178. C4×C22⋊C4×C17C22semidirect
179. C4×C22⋊C4×C17C22semidirect
180. C4×C22⋊C4×C17C22semidirect
181. C17×#376C22semidirect
182. C17×#376C22semidirect
187. C2×C17×#95C22semidirect
213. C17×#126C2×C4semidirect
214. C17×#126C2×C4semidirect
215. C17×#124C2×C4semidirect
216. C17×#123C2×C4semidirect
217. C17×#123C2×C4semidirect
218. C17×#123C2×C4semidirect
219. C17×C22⋊Q8C2×C4semidirect
220. C17×C22⋊Q8C2×C4semidirect
228. C4×D4×C17C2×C4semidirect
229. C4×D4×C17C2×C4semidirect
233. C17×#117C2×C4semidirect
234. C17×#117C2×C4semidirect
269. C2×C22⋊C4×C17C2×C4semidirect
270. C2×C22⋊C4×C17C2×C4semidirect
389. C2×Q8×C17C22×C4semidirect
449. C22×C4×C17C22×C4semidirect
500. C4⋊C4×C17C22×C4semidirect
501. C4⋊C4×C17C22×C4semidirect
502. C4⋊C4×C17C22×C4semidirect
503. C4⋊C4×C17C22×C4semidirect
504. C4⋊C4×C17C22×C4semidirect
505. C4⋊C4×C17C22×C4semidirect
506. C4⋊C4×C17C22×C4semidirect
507. C4⋊C4×C17C22×C4semidirect
538. C22⋊C4×C17C22×C4semidirect
539. C22⋊C4×C17C22×C4semidirect
540. C22⋊C4×C17C22×C4semidirect
564. C42×C17C22×C4semidirect
565. C42×C17C22×C4semidirect
566. C42×C17C22×C4semidirect
567. #34296C17direct (N × H)
707. #2373C2×C17semidirect
708. #2373C2×C17semidirect
709. #2368C2×C17semidirect
710. #2367C2×C17semidirect
711. #2360C2×C17semidirect
712. #2359C2×C17semidirect
713. #2359C2×C17semidirect
714. #2359C2×C17semidirect
716. #2352C2×C17semidirect
717. #2349C2×C17semidirect
718. #2343C2×C17semidirect
719. #2343C2×C17semidirect
720. #2342C2×C17semidirect
721. #2342C2×C17semidirect
722. #2337C2×C17semidirect
723. #2335C2×C17semidirect
724. #2334C2×C17semidirect
725. #2334C2×C17semidirect
726. #2329C2×C17semidirect
727. #2322C2×C17semidirect
728. C4×C22⋊Q8C2×C17semidirect
729. C4×#123C2×C17semidirect
731. #2296C2×C17semidirect
732. #2290C2×C17semidirect
733. C2×#385C2×C17semidirect
734. #2275C2×C17semidirect
735. #2274C2×C17semidirect
736. C2×C4×C22⋊C4C2×C17semidirect
801. #551C4×C17semidirect
811. C2×C4×Q8C22×C17semidirect
823. C2×#117C22×C17semidirect
832. #391C22×C17semidirect
833. #391C22×C17semidirect
834. #391C22×C17semidirect
836. #389C22×C17semidirect
837. #389C22×C17semidirect
838. #389C22×C17semidirect
839. #389C22×C17semidirect
840. #389C22×C17semidirect
841. #389C22×C17semidirect
842. #389C22×C17semidirect
843. #389C22×C17semidirect
854. #388C22×C17semidirect
855. #388C22×C17semidirect
856. #388C22×C17semidirect
857. #388C22×C17semidirect
858. #388C22×C17semidirect
859. #388C22×C17semidirect
860. #387C22×C17semidirect
861. #387C22×C17semidirect
862. #387C22×C17semidirect
863. #387C22×C17semidirect
864. #387C22×C17semidirect
865. #387C22×C17semidirect
866. #387C22×C17semidirect
867. #387C22×C17semidirect
868. #387C22×C17semidirect
869. #387C22×C17semidirect
870. #387C22×C17semidirect
871. #387C22×C17semidirect
872. #387C22×C17semidirect
873. #387C22×C17semidirect
874. #387C22×C17semidirect
875. #387C22×C17semidirect
899. #385C22×C17semidirect
900. #385C22×C17semidirect
901. #385C22×C17semidirect
902. #383C22×C17semidirect
903. #382C22×C17semidirect
904. #382C22×C17semidirect
909. #380C22×C17semidirect
911. C4×C4⋊C4C22×C17semidirect
912. C4×C4⋊C4C22×C17semidirect
913. C4×C4⋊C4C22×C17semidirect
914. C4×C4⋊C4C22×C17semidirect
915. C4×C4⋊C4C22×C17semidirect
916. C4×C4⋊C4C22×C17semidirect
917. C4×C4⋊C4C22×C17semidirect
918. C4×C4⋊C4C22×C17semidirect
919. C4×C4⋊C4C22×C17semidirect
920. C4×C4⋊C4C22×C17semidirect
921. C4×C4⋊C4C22×C17semidirect
922. C4×C4⋊C4C22×C17semidirect
923. C4×C4⋊C4C22×C17semidirect
924. C4×C4⋊C4C22×C17semidirect
925. C4×C4⋊C4C22×C17semidirect
945. C4×C22⋊C4C22×C17semidirect
946. C4×C22⋊C4C22×C17semidirect
947. C4×C22⋊C4C22×C17semidirect
948. C4×C22⋊C4C22×C17semidirect
949. #376C22×C17semidirect
950. #376C22×C17semidirect
955. C2×#95C22×C17semidirect
992. #126C2×C4×C17semidirect
993. #126C2×C4×C17semidirect
994. #124C2×C4×C17semidirect
995. #123C2×C4×C17semidirect
996. #123C2×C4×C17semidirect
997. #123C2×C4×C17semidirect
998. C22⋊Q8C2×C4×C17semidirect
999. C22⋊Q8C2×C4×C17semidirect
1007. C4×D4C2×C4×C17semidirect
1008. C4×D4C2×C4×C17semidirect
1012. #117C2×C4×C17semidirect
1013. #117C2×C4×C17semidirect
1048. C2×C22⋊C4C2×C4×C17semidirect
1049. C2×C22⋊C4C2×C4×C17semidirect
1155. C17#34296direct (N × H)
1169. C2×Q8C22×C4×C17semidirect
1229. C22×C4C22×C4×C17semidirect
1280. C4⋊C4C22×C4×C17semidirect
1281. C4⋊C4C22×C4×C17semidirect
1282. C4⋊C4C22×C4×C17semidirect
1283. C4⋊C4C22×C4×C17semidirect
1284. C4⋊C4C22×C4×C17semidirect
1285. C4⋊C4C22×C4×C17semidirect
1286. C4⋊C4C22×C4×C17semidirect
1287. C4⋊C4C22×C4×C17semidirect
1318. C22⋊C4C22×C4×C17semidirect
1319. C22⋊C4C22×C4×C17semidirect
1320. C22⋊C4C22×C4×C17semidirect
1344. C42C22×C4×C17semidirect
1345. C42C22×C4×C17semidirect
1346. C42C22×C4×C17semidirect

Maximal subgroups

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

subgroupindex
C2×C17×#5512
C17×#23732
C17×#23682
C17×#23672
C17×#23602
C17×#23592
C17×#23582
C17×#23522
C17×#23492
C17×#23432
C17×#23422
C17×#23372
C17×#23352
C17×#23342
C17×#23292
C17×#23222
C4×C17×C22⋊Q82
C4×C17×#1232
C4×C17×#1202
C17×#22962
C17×#22902
C2×C17×#3852
C17×#22752
C17×#22742
C2×C4×C22⋊C4×C172
#3429617