Finite Group Databasebeta

← C17×#34283 #16892027

Subgroups — C17×#34283 #16892027

Order 4352.

2546 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C17×#538C211yesmaximal, characteristic
2C17×#2374C211yesmaximal, characteristic, complemented
3C17×#2373C211yesmaximal, characteristic, complemented
4C17×#2373C211yesmaximal, characteristic, complemented
5C17×#2372C211yesmaximal, characteristic, complemented
6C17×#2368C211yesmaximal, characteristic, complemented
7C17×#2367C211yesmaximal, characteristic, complemented
8C17×#2364C211yesmaximal, characteristic, complemented
9C17×#2364C211yesmaximal, characteristic, complemented
10C17×#2363C211yesmaximal, characteristic, complemented
11C17×#2361C211yesmaximal, characteristic, complemented
12C17×#2360C211yesmaximal, characteristic, complemented
13C17×#2359C211yesmaximal, characteristic, complemented
14C17×#2358C211yesmaximal, characteristic, complemented
15C17×#2358C211yesmaximal, characteristic, complemented
16C17×#2358C211yesmaximal, characteristic, complemented
17C17×#2358C211yesmaximal, characteristic, complemented
18C17×#2337C211yesmaximal, characteristic, complemented
19C17×#2335C211yesmaximal, characteristic, complemented
20C17×#2334C211yesmaximal, characteristic, complemented
21C17×#2333C211yesmaximal, characteristic, complemented
22C17×#2318C211yesmaximal, characteristic, complemented
23C4×C17×#126C211yesmaximal, characteristic, complemented
24C4×C17×#124C211yesmaximal, characteristic, complemented
25C4×C17×#123C211yesmaximal, characteristic, complemented
26C4×C17×#121C211yesmaximal, characteristic, complemented
27C17×#2290C211yesmaximal, characteristic, complemented
28C2×C17×#388C211yesmaximal, characteristic, complemented
29C17×#2275C211yesmaximal, characteristic, complemented
30C17×#2273C211yesmaximal, characteristic, complemented
31C42×D4×C17C211yesmaximal, characteristic, complemented
32C17×#538C4116yescomplemented
33C2×C17×#126C2211yescharacteristic
34C2×C17×#126C2211yescharacteristic
35C2×C17×#124C2211yescharacteristic
36C2×C17×#124C2211yescharacteristic
37C2×C17×#123C2211yescharacteristic
38C2×C17×#123C2211yescharacteristic
39C2×C17×C22⋊Q8C2211yescharacteristic
40C2×C17×#121C2211yescharacteristic
41C2×C17×#121C2211yescharacteristic
42C2×C17×#121C2211yescharacteristic
43C2×C17×#120C2211yescharacteristic
44C2×C17×#120C2211yescharacteristic
45C2×C4×Q8×C17C2211yescharacteristic, complemented
46C2×C4×D4×C17C2211yescharacteristic
47C2×C4×D4×C17C2211yescharacteristic
48C2×C4×D4×C17C2211yescharacteristic
49C2×C4×D4×C17C2211yescharacteristic
50C2×C4×D4×C17C2211yescharacteristic
51C2×C4×D4×C17C2211yescharacteristic
52C2×C4×D4×C17C2211yescharacteristic
53C2×C4×D4×C17C2211yescharacteristic
54C2×C4×D4×C17C2211yescharacteristic
55C2×C4×D4×C17C2211yescharacteristic
56C2×C4×D4×C17C2211yescharacteristic, complemented
57C2×C17×#117C2211yescharacteristic, complemented
58C22×C4⋊C4×C17C2211yescharacteristic
59C22×C22⋊C4×C17C2211yescharacteristic
60C22×C22⋊C4×C17C2211yescharacteristic
61C22×C22⋊C4×C17C2211yescharacteristic
62C22×C22⋊C4×C17C2211yescharacteristic
63C22×C22⋊C4×C17C2211yescharacteristic
64C22×C42×C17C2211yescharacteristic
65C22×C42×C17C2211yescharacteristic, complemented
66C17×#391C2211yescharacteristic, complemented
67C17×#391C2211yescharacteristic, complemented
68C17×#391C2211yescharacteristic, complemented
69C17×#390C2211yescharacteristic
70C17×#390C2211yescharacteristic
71C17×#390C2211yescharacteristic
72C17×#390C2211yescharacteristic
73C17×#390C2211yescharacteristic, complemented
74C17×#389C2211yescharacteristic, complemented
75C17×#389C2211yescharacteristic, complemented
76C17×#389C2211yescharacteristic, complemented
77C17×#389C2211yescharacteristic, complemented
78C17×#388C2211yescharacteristic
79C17×#388C2211yescharacteristic
80C17×#388C2211yescharacteristic
81C17×#388C2211yescharacteristic
82C17×#388C2211yescharacteristic
83C17×#388C2211yescharacteristic
84C17×#388C2211yescharacteristic
85C17×#388C2211yescharacteristic
86C17×#388C2211yescharacteristic
87C17×#388C2211yescharacteristic
88C17×#388C2211yescharacteristic
89C17×#388C2211yescharacteristic
90C17×#388C2211yescharacteristic
91C17×#388C2211yescharacteristic
92C17×#388C2211yescharacteristic
93C17×#388C2211yescharacteristic
94C17×#388C2211yescharacteristic, complemented
95C17×#388C2211yescharacteristic, complemented
96C17×#388C2211yescharacteristic, complemented
97C17×#388C2211yescharacteristic, complemented
98C17×#388C2211yescharacteristic, complemented
99C17×#388C2211yescharacteristic, complemented
100C17×#388C2211yescharacteristic, complemented
101C17×#388C2211yescharacteristic, 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×#386C2211yescharacteristic
115C17×#386C2211yescharacteristic
116C17×#386C2211yescharacteristic
117C17×#386C2211yescharacteristic
118C17×#386C2211yescharacteristic
119C17×#386C2211yescharacteristic
120C17×#386C2211yescharacteristic
121C17×#386C2211yescharacteristic
122C17×#386C2211yescharacteristic
123C17×#386C2211yescharacteristic
124C17×#386C2211yescharacteristic
125C17×#386C2211yescharacteristic
126C17×#386C2211yescharacteristic, complemented
127C17×#386C2211yescharacteristic, complemented
128C17×#385C2211yescharacteristic
129C17×#385C2211yescharacteristic
130C17×#385C2211yescharacteristic
131C17×#385C2211yescharacteristic
132C17×#385C2211yescharacteristic
133C17×#385C2211yescharacteristic
134C17×#385C2211yescharacteristic
135C17×#385C2211yescharacteristic
136C17×#385C2211yescharacteristic, complemented
137C17×#385C2211yescharacteristic, complemented
138C17×#383C2211yescharacteristic, complemented
139C17×#382C2211yescharacteristic, complemented
140C17×#381C2211yescharacteristic, complemented
141C17×#380C2211yescharacteristic, 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×C4⋊C4×C17C2211yescharacteristic, complemented
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
179C4×C22⋊C4×C17C2211yescharacteristic, complemented
180C4×C22⋊C4×C17C2211yescharacteristic, complemented
181C4×C22⋊C4×C17C2211yescharacteristic, complemented
182C17×#376C2211yescharacteristic, complemented
183C17×#376C2211yescharacteristic, complemented
184C2×C17×#95C2211yescharacteristic
185C2×C17×#95C2211yescharacteristic
186C2×C17×#95C2211yescharacteristic, complemented
187C43×C17C2211yescharacteristic, complemented
188C25×C17C2311yescharacteristic
189C22×Q8×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C23×C4×C17C2311yescharacteristic
203C23×C4×C17C2311yescharacteristic
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C23×C4×C17C2311yescharacteristic
209C23×C4×C17C2311yescharacteristic
210C23×C4×C17C2311yescharacteristic
211C23×C4×C17C2311yescharacteristic
212C23×C4×C17C2311yescharacteristic
213C17×#126C2×C418yescomplemented
214C17×#126C2×C418yescomplemented
215C17×#124C2×C418yescomplemented
216C17×#124C2×C418yescomplemented
217C17×#123C2×C418yescomplemented
218C17×#123C2×C418yescomplemented
219C17×C22⋊Q8C2×C418yescomplemented
220C17×#121C2×C418yescomplemented
221C17×#121C2×C418yescomplemented
222C17×#121C2×C418yescomplemented
223C17×#120C2×C418yescomplemented
224C17×#120C2×C418yescomplemented
225C4×Q8×C17—42no—
226C4×D4×C17—24no—
227C4×D4×C17—24no—
228C4×D4×C17—24no—
229C4×D4×C17—24no—
230C4×D4×C17—42no—
231C4×D4×C17—42no—
232C4×D4×C17—42no—
233C4×D4×C17—42no—
234C4×D4×C17—42no—
235C4×D4×C17C2×C418yescomplemented
236C4×D4×C17C2×C418yescomplemented
237C17×#117—42no—
238C2×C4⋊C4×C17—42no—
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×C22⋊C4×C17—24no—
262C2×C22⋊C4×C17—24no—
263C2×C22⋊C4×C17—42no—
264C2×C22⋊C4×C17—42no—
265C2×C22⋊C4×C17C2×C418yescomplemented
266C2×C22⋊C4×C17C2311yescharacteristic
267C2×C22⋊C4×C17C2311yescharacteristic
268C2×C22⋊C4×C17C2311yescharacteristic
269C2×C22⋊C4×C17C2311yescharacteristic
270C2×C22⋊C4×C17C2311yescharacteristic
271C2×C22⋊C4×C17C2311yescharacteristic
272C2×C22⋊C4×C17C2311yescharacteristic
273C2×C22⋊C4×C17C2311yescharacteristic
274C2×C22⋊C4×C17C2311yescharacteristic
275C2×C22⋊C4×C17C2311yescharacteristic
276C2×C22⋊C4×C17C2311yescharacteristic
277C2×C22⋊C4×C17C2311yescharacteristic
278C2×C22⋊C4×C17C2311yescharacteristic
279C2×C22⋊C4×C17C2311yescharacteristic
280C2×C22⋊C4×C17C2311yescharacteristic
281C2×C22⋊C4×C17C2311yescharacteristic
282C2×C22⋊C4×C17C2311yescharacteristic
283C2×C22⋊C4×C17C2311yescharacteristic
284C2×C22⋊C4×C17C2311yescharacteristic
285C2×C22⋊C4×C17C2311yescharacteristic
286C2×C22⋊C4×C17C2311yescharacteristic
287C2×C22⋊C4×C17C2311yescharacteristic
288C2×C22⋊C4×C17C2311yescharacteristic
289C2×C22⋊C4×C17C2311yescharacteristic
290C2×C22⋊C4×C17C2311yescharacteristic
291C2×C22⋊C4×C17C2311yescharacteristic
292C2×C22⋊C4×C17C2311yescharacteristic
293C2×C22⋊C4×C17C2311yescharacteristic
294C2×C22⋊C4×C17C2311yescharacteristic
295C2×C22⋊C4×C17C2311yescharacteristic
296C2×C22⋊C4×C17C2311yescharacteristic
297C2×C22⋊C4×C17C2311yescharacteristic
298C2×C22⋊C4×C17C2311yescharacteristic
299C2×C22⋊C4×C17C2311yescharacteristic
300C2×C22⋊C4×C17C2311yescharacteristic
301C2×C22⋊C4×C17C2311yescharacteristic
302C2×C22⋊C4×C17C2311yescharacteristic
303C2×C22⋊C4×C17C2311yescharacteristic
304C2×C22⋊C4×C17C2311yescharacteristic
305C2×C22⋊C4×C17C2311yescharacteristic
306C2×C22⋊C4×C17C2311yescharacteristic
307C2×C22⋊C4×C17C2311yescharacteristic
308C2×C42×C17—42no—
309C2×C42×C17—42no—
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
332C2×C42×C17C2311yescharacteristic
333C2×C42×C17C2311yescharacteristic
334C2×C42×C17C2311yescharacteristic
335C2×C42×C17C2311yescharacteristic
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—41no—
379C24×C17—41no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17C22×C414yes—
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C24×C17C2411yescharacteristic
388C2×Q8×C17—41no—
389C2×Q8×C17—41no—
390C2×Q8×C17C22×C414yes—
391C2×D4×C17—22no—
392C2×D4×C17—22no—
393C2×D4×C17—22no—
394C2×D4×C17—22no—
395C2×D4×C17—41no—
396C2×D4×C17—41no—
397C2×D4×C17—41no—
398C2×D4×C17—41no—
399C2×D4×C17—41no—
400C2×D4×C17—41no—
401C2×D4×C17—41no—
402C2×D4×C17—41no—
403C2×D4×C17—41no—
404C2×D4×C17—41no—
405C2×D4×C17C22×C414yes—
406C2×D4×C17C22×C414yes—
407C2×D4×C17C22×C414yes—
408C2×D4×C17C22×C414yes—
409C2×D4×C17C22×C414yes—
410C2×D4×C17C22×C414yes—
411C2×D4×C17C22×C414yes—
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—22no—
422C22×C4×C17—22no—
423C22×C4×C17—22no—
424C22×C4×C17—22no—
425C22×C4×C17—22no—
426C22×C4×C17—22no—
427C22×C4×C17—22no—
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—41no—
445C22×C4×C17—41no—
446C22×C4×C17—41no—
447C22×C4×C17—41no—
448C22×C4×C17—41no—
449C22×C4×C17—41no—
450C22×C4×C17—41no—
451C22×C4×C17—41no—
452C22×C4×C17—41no—
453C22×C4×C17—41no—
454C22×C4×C17—41no—
455C22×C4×C17—41no—
456C22×C4×C17C22×C414yes—
457C22×C4×C17C22×C414yes—
458C22×C4×C17C22×C414yes—
459C22×C4×C17C22×C414yes—
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
478C22×C4×C17C2411yescharacteristic
479C22×C4×C17C2411yescharacteristic
480C22×C4×C17C2411yescharacteristic
481C22×C4×C17C2411yescharacteristic
482C22×C4×C17C2411yescharacteristic
483C22×C4×C17C2411yescharacteristic
484C22×C4×C17C2411yescharacteristic
485C22×C4×C17C2411yescharacteristic
486C4⋊C4×C17—22no—
487C4⋊C4×C17—22no—
488C4⋊C4×C17—22no—
489C4⋊C4×C17—22no—
490C4⋊C4×C17—22no—
491C4⋊C4×C17—22no—
492C4⋊C4×C17—22no—
493C4⋊C4×C17—22no—
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×C17—41no—
501C4⋊C4×C17—41no—
502C4⋊C4×C17C22×C414yes—
503C4⋊C4×C17C22×C414yes—
504C4⋊C4×C17C22×C414yes—
505C4⋊C4×C17C22×C414yes—
506C4⋊C4×C17C22×C414yes—
507C4⋊C4×C17C22×C414yes—
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—22no—
521C22⋊C4×C17—22no—
522C22⋊C4×C17—22no—
523C22⋊C4×C17—22no—
524C22⋊C4×C17—41no—
525C22⋊C4×C17—41no—
526C22⋊C4×C17—41no—
527C22⋊C4×C17—41no—
528C22⋊C4×C17—41no—
529C22⋊C4×C17—41no—
530C22⋊C4×C17—41no—
531C22⋊C4×C17—41no—
532C22⋊C4×C17—41no—
533C22⋊C4×C17—41no—
534C22⋊C4×C17C22×C414yes—
535C22⋊C4×C17C22×C414yes—
536C22⋊C4×C17C22×C414yes—
537C22⋊C4×C17C22×C414yes—
538C22⋊C4×C17C22×C414yes—
539C22⋊C4×C17C22×C414yes—
540C22⋊C4×C17C22×C414yes—
541C22⋊C4×C17C22×C414yes—
542C22⋊C4×C17C22×C414yes—
543C22⋊C4×C17C22×C414yes—
544C22⋊C4×C17C22×C414yes—
545C22⋊C4×C17C22×C414yes—
546C22⋊C4×C17C22×C414yes—
547C22⋊C4×C17C22×C414yes—
548C22⋊C4×C17#4114yes—
549C22⋊C4×C17#4114yes—
550C42×C17—22no—
551C42×C17—22no—
552C42×C17—22no—
553C42×C17—22no—
554C42×C17—22no—
555C42×C17—22no—
556C42×C17—22no—
557C42×C17—22no—
558C42×C17—41no—
559C42×C17—41no—
560C42×C17—41no—
561C42×C17—41no—
562C42×C17—41no—
563C42×C17—41no—
564C42×C17—41no—
565C42×C17—41no—
566C42×C17—41no—
567C42×C17—41no—
568C42×C17—41no—
569C42×C17—41no—
570C42×C17—41no—
571C42×C17—41no—
572C42×C17—41no—
573C42×C17—41no—
574C42×C17C22×C414yes—
575C42×C17C22×C414yes—
576#34283C1711yesmaximal, characteristic, direct product factor, Sylow
577C23×C17—21no—
578C23×C17—21no—
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17—21no—
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—21no—
599C23×C17—21no—
600C23×C17—21no—
601C23×C17—21no—
602C23×C17—21no—
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—28no—
606C23×C17—44no—
607C23×C17—44no—
608C23×C17—82no—
609C23×C17—82no—
610C23×C17—82no—
611C23×C17—82no—
612C23×C17C23×C412yes—
613C23×C17C23×C412yes—
614C23×C17C23×C412yes—
615C23×C17C23×C412yes—
616C23×C17C23×C412yes—
617C23×C17C2×#4112yes—
618C23×C17C2×#4112yes—
619C23×C17C2511yescharacteristic
620Q8×C17—44no—
621D4×C17—28no—
622D4×C17—28no—
623D4×C17—44no—
624D4×C17—44no—
625D4×C17—44no—
626D4×C17—44no—
627D4×C17—44no—
628C2×C4×C17—21no—
629C2×C4×C17—21no—
630C2×C4×C17—21no—
631C2×C4×C17—21no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—44no—
691C2×C4×C17—44no—
692C2×C4×C17—44no—
693C2×C4×C17—44no—
694C2×C4×C17—44no—
695C2×C4×C17—44no—
696C2×C4×C17—44no—
697C2×C4×C17—44no—
698C2×C4×C17—82no—
699C2×C4×C17—82no—
700C2×C4×C17—82no—
701C2×C4×C17—82no—
702C2×C4×C17—82no—
703C2×C4×C17—82no—
704C2×C4×C17—82no—
705C2×C4×C17—82no—
706C2×C4×C17C23×C412yes—
707C2×C4×C17C23×C412yes—
708C2×C4×C17C23×C412yes—
709C2×C4×C17C23×C412yes—
710C2×C4×C17C23×C412yes—
711C2×C4×C17C23×C412yes—
712C2×C4×C17C23×C412yes—
713C2×C4×C17C23×C412yes—
714C2×C4×C17C23×C412yes—
715C2×C4×C17C23×C412yes—
716C2×C4×C17C2×#4112yes—
717C2×C4×C17C2×#4112yes—
718C2×C4×C17C2×#4112yes—
719C2×C4×C17C2×#4112yes—
720C2×C4×C17H(5,𝔽2)12yes—
721C2×C4×C17H(5,𝔽2)12yes—
722C2×#538C2×C1711yescharacteristic
723#2374C2×C1711yescharacteristic, complemented
724#2373C2×C1711yescharacteristic, complemented
725#2373C2×C1711yescharacteristic, complemented
726#2372C2×C1711yescharacteristic, complemented
727#2368C2×C1711yescharacteristic, complemented
728#2367C2×C1711yescharacteristic, complemented
729#2364C2×C1711yescharacteristic, complemented
730#2364C2×C1711yescharacteristic, complemented
731#2363C2×C1711yescharacteristic, complemented
732#2361C2×C1711yescharacteristic, complemented
733#2360C2×C1711yescharacteristic, complemented
734#2359C2×C1711yescharacteristic, complemented
735#2358C2×C1711yescharacteristic, complemented
736#2358C2×C1711yescharacteristic, complemented
737#2358C2×C1711yescharacteristic, complemented
738#2358C2×C1711yescharacteristic, complemented
739#2337C2×C1711yescharacteristic, complemented
740#2335C2×C1711yescharacteristic, complemented
741#2334C2×C1711yescharacteristic, complemented
742#2333C2×C1711yescharacteristic, complemented
743#2318C2×C1711yescharacteristic, complemented
744C4×#126C2×C1711yescharacteristic, complemented
745C4×#124C2×C1711yescharacteristic, complemented
746C4×#123C2×C1711yescharacteristic, complemented
747C4×#121C2×C1711yescharacteristic, complemented
748#2290C2×C1711yescharacteristic, complemented
749C2×#388C2×C1711yescharacteristic, complemented
750#2275C2×C1711yescharacteristic, complemented
751#2273C2×C1711yescharacteristic, complemented
752C42×D4C2×C1711yescharacteristic, complemented
753C22×C17—22no—
754C22×C17—22no—
755C22×C17—22no—
756C22×C17—22no—
757C22×C17—22no—
758C22×C17—22no—
759C22×C17—22no—
760C22×C17—22no—
761C22×C17—22no—
762C22×C17—22no—
763C22×C17—22no—
764C22×C17—22no—
765C22×C17—22no—
766C22×C17—22no—
767C22×C17—22no—
768C22×C17—22no—
769C22×C17—22no—
770C22×C17—22no—
771C22×C17—41no—
772C22×C17—41no—
773C22×C17—41no—
774C22×C17—41no—
775C22×C17—41no—
776C22×C17—41no—
777C22×C17—41no—
778C22×C17—41no—
779C22×C17—41no—
780C22×C17—41no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17—41no—
786C22×C17—41no—
787C22×C17—88no—
788C22×C17C4×#4114yes—
789C22×C17C24×C411yescharacteristic
790C22×C17C22×#4111yescharacteristic
791C22×C17C22×#4111yescharacteristic
792C22×C17C2×H(5,𝔽2)11yescharacteristic
793C22×C17C2×H(5,𝔽2)11yescharacteristic
794C22×C17#58511yescharacteristic
795C22×C17#58511yescharacteristic
796C4×C17—22no—
797C4×C17—22no—
798C4×C17—22no—
799C4×C17—22no—
800C4×C17—22no—
801C4×C17—22no—
802C4×C17—22no—
803C4×C17—22no—
804C4×C17—22no—
805C4×C17—22no—
806C4×C17—22no—
807C4×C17—22no—
808C4×C17—22no—
809C4×C17—22no—
810C4×C17—22no—
811C4×C17—22no—
812C4×C17—41no—
813C4×C17—41no—
814C4×C17—41no—
815C4×C17—41no—
816C4×C17—41no—
817C4×C17—41no—
818C4×C17—41no—
819C4×C17—41no—
820C4×C17—41no—
821C4×C17—41no—
822#538C4×C17116yescomplemented
823C2×#126C22×C1711yescharacteristic
824C2×#126C22×C1711yescharacteristic
825C2×#124C22×C1711yescharacteristic
826C2×#124C22×C1711yescharacteristic
827C2×#123C22×C1711yescharacteristic
828C2×#123C22×C1711yescharacteristic
829C2×C22⋊Q8C22×C1711yescharacteristic
830C2×#121C22×C1711yescharacteristic
831C2×#121C22×C1711yescharacteristic
832C2×#121C22×C1711yescharacteristic
833C2×#120C22×C1711yescharacteristic
834C2×#120C22×C1711yescharacteristic
835C2×C4×Q8C22×C1711yescharacteristic, complemented
836C2×C4×D4C22×C1711yescharacteristic
837C2×C4×D4C22×C1711yescharacteristic
838C2×C4×D4C22×C1711yescharacteristic
839C2×C4×D4C22×C1711yescharacteristic
840C2×C4×D4C22×C1711yescharacteristic
841C2×C4×D4C22×C1711yescharacteristic
842C2×C4×D4C22×C1711yescharacteristic
843C2×C4×D4C22×C1711yescharacteristic
844C2×C4×D4C22×C1711yescharacteristic
845C2×C4×D4C22×C1711yescharacteristic
846C2×C4×D4C22×C1711yescharacteristic, complemented
847C2×#117C22×C1711yescharacteristic, complemented
848C22×C4⋊C4C22×C1711yescharacteristic
849C22×C22⋊C4C22×C1711yescharacteristic
850C22×C22⋊C4C22×C1711yescharacteristic
851C22×C22⋊C4C22×C1711yescharacteristic
852C22×C22⋊C4C22×C1711yescharacteristic
853C22×C22⋊C4C22×C1711yescharacteristic
854C22×C42C22×C1711yescharacteristic
855C22×C42C22×C1711yescharacteristic, complemented
856#391C22×C1711yescharacteristic, complemented
857#391C22×C1711yescharacteristic, complemented
858#391C22×C1711yescharacteristic, complemented
859#390C22×C1711yescharacteristic
860#390C22×C1711yescharacteristic
861#390C22×C1711yescharacteristic
862#390C22×C1711yescharacteristic
863#390C22×C1711yescharacteristic, complemented
864#389C22×C1711yescharacteristic, complemented
865#389C22×C1711yescharacteristic, complemented
866#389C22×C1711yescharacteristic, complemented
867#389C22×C1711yescharacteristic, complemented
868#388C22×C1711yescharacteristic
869#388C22×C1711yescharacteristic
870#388C22×C1711yescharacteristic
871#388C22×C1711yescharacteristic
872#388C22×C1711yescharacteristic
873#388C22×C1711yescharacteristic
874#388C22×C1711yescharacteristic
875#388C22×C1711yescharacteristic
876#388C22×C1711yescharacteristic
877#388C22×C1711yescharacteristic
878#388C22×C1711yescharacteristic
879#388C22×C1711yescharacteristic
880#388C22×C1711yescharacteristic
881#388C22×C1711yescharacteristic
882#388C22×C1711yescharacteristic
883#388C22×C1711yescharacteristic
884#388C22×C1711yescharacteristic, complemented
885#388C22×C1711yescharacteristic, complemented
886#388C22×C1711yescharacteristic, complemented
887#388C22×C1711yescharacteristic, complemented
888#388C22×C1711yescharacteristic, complemented
889#388C22×C1711yescharacteristic, complemented
890#388C22×C1711yescharacteristic, complemented
891#388C22×C1711yescharacteristic, complemented
892#387C22×C1711yescharacteristic, complemented
893#387C22×C1711yescharacteristic, complemented
894#387C22×C1711yescharacteristic, complemented
895#387C22×C1711yescharacteristic, complemented
896#387C22×C1711yescharacteristic, complemented
897#387C22×C1711yescharacteristic, complemented
898#387C22×C1711yescharacteristic, complemented
899#387C22×C1711yescharacteristic, complemented
900#387C22×C1711yescharacteristic, complemented
901#387C22×C1711yescharacteristic, complemented
902#387C22×C1711yescharacteristic, complemented
903#387C22×C1711yescharacteristic, complemented
904#386C22×C1711yescharacteristic
905#386C22×C1711yescharacteristic
906#386C22×C1711yescharacteristic
907#386C22×C1711yescharacteristic
908#386C22×C1711yescharacteristic
909#386C22×C1711yescharacteristic
910#386C22×C1711yescharacteristic
911#386C22×C1711yescharacteristic
912#386C22×C1711yescharacteristic
913#386C22×C1711yescharacteristic
914#386C22×C1711yescharacteristic
915#386C22×C1711yescharacteristic
916#386C22×C1711yescharacteristic, complemented
917#386C22×C1711yescharacteristic, complemented
918#385C22×C1711yescharacteristic
919#385C22×C1711yescharacteristic
920#385C22×C1711yescharacteristic
921#385C22×C1711yescharacteristic
922#385C22×C1711yescharacteristic
923#385C22×C1711yescharacteristic
924#385C22×C1711yescharacteristic
925#385C22×C1711yescharacteristic
926#385C22×C1711yescharacteristic, complemented
927#385C22×C1711yescharacteristic, complemented
928#383C22×C1711yescharacteristic, complemented
929#382C22×C1711yescharacteristic, complemented
930#381C22×C1711yescharacteristic, complemented
931#380C22×C1711yescharacteristic, complemented
932C4×C4⋊C4C22×C1711yescharacteristic, complemented
933C4×C4⋊C4C22×C1711yescharacteristic, complemented
934C4×C4⋊C4C22×C1711yescharacteristic, complemented
935C4×C4⋊C4C22×C1711yescharacteristic, complemented
936C4×C4⋊C4C22×C1711yescharacteristic, complemented
937C4×C4⋊C4C22×C1711yescharacteristic, complemented
938C4×C4⋊C4C22×C1711yescharacteristic, complemented
939C4×C4⋊C4C22×C1711yescharacteristic, complemented
940C4×C4⋊C4C22×C1711yescharacteristic, complemented
941C4×C4⋊C4C22×C1711yescharacteristic, complemented
942C4×C4⋊C4C22×C1711yescharacteristic, complemented
943C4×C22⋊C4C22×C1711yescharacteristic
944C4×C22⋊C4C22×C1711yescharacteristic
945C4×C22⋊C4C22×C1711yescharacteristic
946C4×C22⋊C4C22×C1711yescharacteristic
947C4×C22⋊C4C22×C1711yescharacteristic
948C4×C22⋊C4C22×C1711yescharacteristic
949C4×C22⋊C4C22×C1711yescharacteristic
950C4×C22⋊C4C22×C1711yescharacteristic
951C4×C22⋊C4C22×C1711yescharacteristic
952C4×C22⋊C4C22×C1711yescharacteristic
953C4×C22⋊C4C22×C1711yescharacteristic
954C4×C22⋊C4C22×C1711yescharacteristic
955C4×C22⋊C4C22×C1711yescharacteristic
956C4×C22⋊C4C22×C1711yescharacteristic
957C4×C22⋊C4C22×C1711yescharacteristic
958C4×C22⋊C4C22×C1711yescharacteristic
959C4×C22⋊C4C22×C1711yescharacteristic
960C4×C22⋊C4C22×C1711yescharacteristic
961C4×C22⋊C4C22×C1711yescharacteristic
962C4×C22⋊C4C22×C1711yescharacteristic
963C4×C22⋊C4C22×C1711yescharacteristic, complemented
964C4×C22⋊C4C22×C1711yescharacteristic, complemented
965C4×C22⋊C4C22×C1711yescharacteristic, complemented
966C4×C22⋊C4C22×C1711yescharacteristic, complemented
967C4×C22⋊C4C22×C1711yescharacteristic, complemented
968C4×C22⋊C4C22×C1711yescharacteristic, complemented
969C4×C22⋊C4C22×C1711yescharacteristic, complemented
970C4×C22⋊C4C22×C1711yescharacteristic, complemented
971C4×C22⋊C4C22×C1711yescharacteristic, complemented
972#376C22×C1711yescharacteristic, complemented
973#376C22×C1711yescharacteristic, complemented
974C2×#95C22×C1711yescharacteristic
975C2×#95C22×C1711yescharacteristic
976C2×#95C22×C1711yescharacteristic, complemented
977C43C22×C1711yescharacteristic, complemented
978C2×C17—24no—
979C2×C17—42no—
980C2×C17—42no—
981C2×C17—42no—
982C2×C17—42no—
983C2×C17C2×C4×#4111yescharacteristic
984C2×C17C4×H(5,𝔽2)11yescharacteristic
985C2×C17C4×H(5,𝔽2)11yescharacteristic
986C2×C17#351311yescharacteristic
987C2×C17#351411yescharacteristic
988C2×C17#351911yescharacteristic
989C2×C17#352111yescharacteristic
990C25C23×C1711yescharacteristic
991C22×Q8C23×C1711yescharacteristic
992C22×D4C23×C1711yescharacteristic
993C22×D4C23×C1711yescharacteristic
994C22×D4C23×C1711yescharacteristic
995C22×D4C23×C1711yescharacteristic
996C22×D4C23×C1711yescharacteristic
997C22×D4C23×C1711yescharacteristic
998C22×D4C23×C1711yescharacteristic
999C23×C4C23×C1711yescharacteristic
1000C23×C4C23×C1711yescharacteristic
1001C23×C4C23×C1711yescharacteristic
1002C23×C4C23×C1711yescharacteristic
1003C23×C4C23×C1711yescharacteristic
1004C23×C4C23×C1711yescharacteristic
1005C23×C4C23×C1711yescharacteristic
1006C23×C4C23×C1711yescharacteristic
1007C23×C4C23×C1711yescharacteristic
1008C23×C4C23×C1711yescharacteristic
1009C23×C4C23×C1711yescharacteristic
1010C23×C4C23×C1711yescharacteristic
1011C23×C4C23×C1711yescharacteristic
1012C23×C4C23×C1711yescharacteristic
1013C23×C4C23×C1711yescharacteristic
1014C23×C4C23×C1711yescharacteristic
1015#126C2×C4×C1718yescomplemented
1016#126C2×C4×C1718yescomplemented
1017#124C2×C4×C1718yescomplemented
1018#124C2×C4×C1718yescomplemented
1019#123C2×C4×C1718yescomplemented
1020#123C2×C4×C1718yescomplemented
1021C22⋊Q8C2×C4×C1718yescomplemented
1022#121C2×C4×C1718yescomplemented
1023#121C2×C4×C1718yescomplemented
1024#121C2×C4×C1718yescomplemented
1025#120C2×C4×C1718yescomplemented
1026#120C2×C4×C1718yescomplemented
1027C4×Q8—42no—
1028C4×D4—24no—
1029C4×D4—24no—
1030C4×D4—24no—
1031C4×D4—24no—
1032C4×D4—42no—
1033C4×D4—42no—
1034C4×D4—42no—
1035C4×D4—42no—
1036C4×D4—42no—
1037C4×D4C2×C4×C1718yescomplemented
1038C4×D4C2×C4×C1718yescomplemented
1039#117—42no—
1040C2×C4⋊C4—42no—
1041C2×C4⋊C4C23×C1711yescharacteristic
1042C2×C4⋊C4C23×C1711yescharacteristic
1043C2×C4⋊C4C23×C1711yescharacteristic
1044C2×C4⋊C4C23×C1711yescharacteristic
1045C2×C4⋊C4C23×C1711yescharacteristic
1046C2×C4⋊C4C23×C1711yescharacteristic
1047C2×C4⋊C4C23×C1711yescharacteristic
1048C2×C4⋊C4C23×C1711yescharacteristic
1049C2×C4⋊C4C23×C1711yescharacteristic
1050C2×C4⋊C4C23×C1711yescharacteristic
1051C2×C4⋊C4C23×C1711yescharacteristic
1052C2×C4⋊C4C23×C1711yescharacteristic
1053C2×C4⋊C4C23×C1711yescharacteristic
1054C2×C4⋊C4C23×C1711yescharacteristic
1055C2×C4⋊C4C23×C1711yescharacteristic
1056C2×C4⋊C4C23×C1711yescharacteristic
1057C2×C4⋊C4C23×C1711yescharacteristic
1058C2×C4⋊C4C23×C1711yescharacteristic
1059C2×C4⋊C4C23×C1711yescharacteristic
1060C2×C4⋊C4C23×C1711yescharacteristic
1061C2×C4⋊C4C23×C1711yescharacteristic
1062C2×C4⋊C4C23×C1711yescharacteristic
1063C2×C22⋊C4—24no—
1064C2×C22⋊C4—24no—
1065C2×C22⋊C4—42no—
1066C2×C22⋊C4—42no—
1067C2×C22⋊C4C2×C4×C1718yescomplemented
1068C2×C22⋊C4C23×C1711yescharacteristic
1069C2×C22⋊C4C23×C1711yescharacteristic
1070C2×C22⋊C4C23×C1711yescharacteristic
1071C2×C22⋊C4C23×C1711yescharacteristic
1072C2×C22⋊C4C23×C1711yescharacteristic
1073C2×C22⋊C4C23×C1711yescharacteristic
1074C2×C22⋊C4C23×C1711yescharacteristic
1075C2×C22⋊C4C23×C1711yescharacteristic
1076C2×C22⋊C4C23×C1711yescharacteristic
1077C2×C22⋊C4C23×C1711yescharacteristic
1078C2×C22⋊C4C23×C1711yescharacteristic
1079C2×C22⋊C4C23×C1711yescharacteristic
1080C2×C22⋊C4C23×C1711yescharacteristic
1081C2×C22⋊C4C23×C1711yescharacteristic
1082C2×C22⋊C4C23×C1711yescharacteristic
1083C2×C22⋊C4C23×C1711yescharacteristic
1084C2×C22⋊C4C23×C1711yescharacteristic
1085C2×C22⋊C4C23×C1711yescharacteristic
1086C2×C22⋊C4C23×C1711yescharacteristic
1087C2×C22⋊C4C23×C1711yescharacteristic
1088C2×C22⋊C4C23×C1711yescharacteristic
1089C2×C22⋊C4C23×C1711yescharacteristic
1090C2×C22⋊C4C23×C1711yescharacteristic
1091C2×C22⋊C4C23×C1711yescharacteristic
1092C2×C22⋊C4C23×C1711yescharacteristic
1093C2×C22⋊C4C23×C1711yescharacteristic
1094C2×C22⋊C4C23×C1711yescharacteristic
1095C2×C22⋊C4C23×C1711yescharacteristic
1096C2×C22⋊C4C23×C1711yescharacteristic
1097C2×C22⋊C4C23×C1711yescharacteristic
1098C2×C22⋊C4C23×C1711yescharacteristic
1099C2×C22⋊C4C23×C1711yescharacteristic
1100C2×C22⋊C4C23×C1711yescharacteristic
1101C2×C22⋊C4C23×C1711yescharacteristic
1102C2×C22⋊C4C23×C1711yescharacteristic
1103C2×C22⋊C4C23×C1711yescharacteristic
1104C2×C22⋊C4C23×C1711yescharacteristic
1105C2×C22⋊C4C23×C1711yescharacteristic
1106C2×C22⋊C4C23×C1711yescharacteristic
1107C2×C22⋊C4C23×C1711yescharacteristic
1108C2×C22⋊C4C23×C1711yescharacteristic
1109C2×C22⋊C4C23×C1711yescharacteristic
1110C2×C42—42no—
1111C2×C42—42no—
1112C2×C42C23×C1711yescharacteristic
1113C2×C42C23×C1711yescharacteristic
1114C2×C42C23×C1711yescharacteristic
1115C2×C42C23×C1711yescharacteristic
1116C2×C42C23×C1711yescharacteristic
1117C2×C42C23×C1711yescharacteristic
1118C2×C42C23×C1711yescharacteristic
1119C2×C42C23×C1711yescharacteristic
1120C2×C42C23×C1711yescharacteristic
1121C2×C42C23×C1711yescharacteristic
1122C2×C42C23×C1711yescharacteristic
1123C2×C42C23×C1711yescharacteristic
1124C2×C42C23×C1711yescharacteristic
1125C2×C42C23×C1711yescharacteristic
1126C2×C42C23×C1711yescharacteristic
1127C2×C42C23×C1711yescharacteristic
1128C2×C42C23×C1711yescharacteristic
1129C2×C42C23×C1711yescharacteristic
1130C2×C42C23×C1711yescharacteristic
1131C2×C42C23×C1711yescharacteristic
1132C2×C42C23×C1711yescharacteristic
1133C2×C42C23×C1711yescharacteristic
1134C2×C42C23×C1711yescharacteristic
1135C2×C42C23×C1711yescharacteristic
1136C2×C42C23×C1711yescharacteristic
1137C2×C42C23×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
1155#95C23×C1711yescharacteristic
1156#95C23×C1711yescharacteristic
1157#95C23×C1711yescharacteristic
1158#95C23×C1711yescharacteristic
1159#95C23×C1711yescharacteristic
1160#95C23×C1711yescharacteristic
1161#95C23×C1711yescharacteristic
1162#95C23×C1711yescharacteristic
1163#95C23×C1711yescharacteristic
1164#95C23×C1711yescharacteristic
1165#95C23×C1711yescharacteristic
1166#95C23×C1711yescharacteristic
1167#95C23×C1711yescharacteristic
1168#95C23×C1711yescharacteristic
1169#95C23×C1711yescharacteristic
1170#95C23×C1711yescharacteristic
1171#95C23×C1711yescharacteristic
1172#95C23×C1711yescharacteristic
1173#95C23×C1711yescharacteristic
1174#95C23×C1711yescharacteristic
1175#95C23×C1711yescharacteristic
1176#95C23×C1711yescharacteristic
1177#95C23×C1711yescharacteristic
1178C17#3428311yescharacteristic, direct product factor, Sylow
1179C24—22no—
1180C24—22no—
1181C24—41no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24C22×C4×C1714yes—
1186C24C24×C1711yescharacteristic
1187C24C24×C1711yescharacteristic
1188C24C24×C1711yescharacteristic
1189C24C24×C1711yescharacteristic
1190C24C24×C1711yescharacteristic
1191C2×Q8—41no—
1192C2×Q8—41no—
1193C2×Q8C22×C4×C1714yes—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4C22×C4×C1714yes—
1209C2×D4C22×C4×C1714yes—
1210C2×D4C22×C4×C1714yes—
1211C2×D4C22×C4×C1714yes—
1212C2×D4C22×C4×C1714yes—
1213C2×D4C22×C4×C1714yes—
1214C2×D4C22×C4×C1714yes—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4C22×C4×C1714yes—
1260C22×C4C22×C4×C1714yes—
1261C22×C4C22×C4×C1714yes—
1262C22×C4C22×C4×C1714yes—
1263C22×C4C24×C1711yescharacteristic
1264C22×C4C24×C1711yescharacteristic
1265C22×C4C24×C1711yescharacteristic
1266C22×C4C24×C1711yescharacteristic
1267C22×C4C24×C1711yescharacteristic
1268C22×C4C24×C1711yescharacteristic
1269C22×C4C24×C1711yescharacteristic
1270C22×C4C24×C1711yescharacteristic
1271C22×C4C24×C1711yescharacteristic
1272C22×C4C24×C1711yescharacteristic
1273C22×C4C24×C1711yescharacteristic
1274C22×C4C24×C1711yescharacteristic
1275C22×C4C24×C1711yescharacteristic
1276C22×C4C24×C1711yescharacteristic
1277C22×C4C24×C1711yescharacteristic
1278C22×C4C24×C1711yescharacteristic
1279C22×C4C24×C1711yescharacteristic
1280C22×C4C24×C1711yescharacteristic
1281C22×C4C24×C1711yescharacteristic
1282C22×C4C24×C1711yescharacteristic
1283C22×C4C24×C1711yescharacteristic
1284C22×C4C24×C1711yescharacteristic
1285C22×C4C24×C1711yescharacteristic
1286C22×C4C24×C1711yescharacteristic
1287C22×C4C24×C1711yescharacteristic
1288C22×C4C24×C1711yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4C22×C4×C1714yes—
1306C4⋊C4C22×C4×C1714yes—
1307C4⋊C4C22×C4×C1714yes—
1308C4⋊C4C22×C4×C1714yes—
1309C4⋊C4C22×C4×C1714yes—
1310C4⋊C4C22×C4×C1714yes—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4C22×C4×C1714yes—
1338C22⋊C4C22×C4×C1714yes—
1339C22⋊C4C22×C4×C1714yes—
1340C22⋊C4C22×C4×C1714yes—
1341C22⋊C4C22×C4×C1714yes—
1342C22⋊C4C22×C4×C1714yes—
1343C22⋊C4C22×C4×C1714yes—
1344C22⋊C4C22×C4×C1714yes—
1345C22⋊C4C22×C4×C1714yes—
1346C22⋊C4C22×C4×C1714yes—
1347C22⋊C4C22×C4×C1714yes—
1348C22⋊C4C22×C4×C1714yes—
1349C22⋊C4C22×C4×C1714yes—
1350C22⋊C4C22×C4×C1714yes—
1351C22⋊C4#41×C1714yes—
1352C22⋊C4#41×C1714yes—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—41no—
1362C42—41no—
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—41no—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42C22×C4×C1714yes—
1378C42C22×C4×C1714yes—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—28no—
1408C23—44no—
1409C23—44no—
1410C23—82no—
1411C23—82no—
1412C23—82no—
1413C23—82no—
1414C23C23×C4×C1712yes—
1415C23C23×C4×C1712yes—
1416C23C23×C4×C1712yes—
1417C23C23×C4×C1712yes—
1418C23C23×C4×C1712yes—
1419C23C2×#41×C1712yes—
1420C23C2×#41×C1712yes—
1421C23C25×C1711yescharacteristic
1422Q8—44no—
1423D4—28no—
1424D4—28no—
1425D4—44no—
1426D4—44no—
1427D4—44no—
1428D4—44no—
1429D4—44no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—82no—
1501C2×C4—82no—
1502C2×C4—82no—
1503C2×C4—82no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4—82no—
1507C2×C4—82no—
1508C2×C4C23×C4×C1712yes—
1509C2×C4C23×C4×C1712yes—
1510C2×C4C23×C4×C1712yes—
1511C2×C4C23×C4×C1712yes—
1512C2×C4C23×C4×C1712yes—
1513C2×C4C23×C4×C1712yes—
1514C2×C4C23×C4×C1712yes—
1515C2×C4C23×C4×C1712yes—
1516C2×C4C23×C4×C1712yes—
1517C2×C4C23×C4×C1712yes—
1518C2×C4C2×#41×C1712yes—
1519C2×C4C2×#41×C1712yes—
1520C2×C4C2×#41×C1712yes—
1521C2×C4C2×#41×C1712yes—
1522C2×C4C17×H(5,𝔽2)12yes—
1523C2×C4C17×H(5,𝔽2)12yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—88no—
1559C22C4×#41×C1714yes—
1560C22C24×C4×C1711yescharacteristic
1561C22C22×#41×C1711yescharacteristic
1562C22C22×#41×C1711yescharacteristic
1563C22C2×C17×H(5,𝔽2)11yescharacteristic
1564C22C2×C17×H(5,𝔽2)11yescharacteristic
1565C22C17×#58511yescharacteristic
1566C22C17×#58511yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C2—24no—
1594C2—42no—
1595C2—42no—
1596C2—42no—
1597C2—42no—
1598C2C2×C4×#41×C1711yescharacteristic
1599C2C4×C17×H(5,𝔽2)11yescharacteristic
1600C2C4×C17×H(5,𝔽2)11yescharacteristic
1601C2C17×#351311yescharacteristic
1602C2C17×#351411yescharacteristic
1603C2C17×#351911yescharacteristic
1604C2C17×#352111yescharacteristic
subgroupG/H
center, socleC23×C17C25
commutatorC22C24×C4×C17
Frattini, cosocleC23C25×C17
prime radicalC2×C17×#538C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C17 ◁ G

Complements

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

NH ≅ G/Ntype
2. C17×#2374C2semidirect
3. C17×#2373C2semidirect
4. C17×#2373C2semidirect
5. C17×#2372C2semidirect
6. C17×#2368C2semidirect
7. C17×#2367C2semidirect
8. C17×#2364C2semidirect
9. C17×#2364C2semidirect
10. C17×#2363C2semidirect
11. C17×#2361C2semidirect
12. C17×#2360C2semidirect
13. C17×#2359C2semidirect
14. C17×#2358C2semidirect
15. C17×#2358C2semidirect
16. C17×#2358C2semidirect
17. C17×#2358C2semidirect
18. C17×#2337C2semidirect
19. C17×#2335C2semidirect
20. C17×#2334C2semidirect
21. C17×#2333C2semidirect
22. C17×#2318C2semidirect
23. C4×C17×#126C2semidirect
24. C4×C17×#124C2semidirect
25. C4×C17×#123C2semidirect
26. C4×C17×#121C2semidirect
27. C17×#2290C2semidirect
28. C2×C17×#388C2semidirect
29. C17×#2275C2semidirect
30. C17×#2273C2semidirect
31. C42×D4×C17C2semidirect
32. C17×#538C4semidirect
45. C2×C4×Q8×C17C22semidirect
56. C2×C4×D4×C17C22semidirect
57. C2×C17×#117C22semidirect
65. C22×C42×C17C22semidirect
66. C17×#391C22semidirect
67. C17×#391C22semidirect
68. C17×#391C22semidirect
73. C17×#390C22semidirect
74. C17×#389C22semidirect
75. C17×#389C22semidirect
76. C17×#389C22semidirect
77. C17×#389C22semidirect
94. C17×#388C22semidirect
95. C17×#388C22semidirect
96. C17×#388C22semidirect
97. C17×#388C22semidirect
98. C17×#388C22semidirect
99. C17×#388C22semidirect
100. C17×#388C22semidirect
101. C17×#388C22semidirect
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
126. C17×#386C22semidirect
127. C17×#386C22semidirect
136. C17×#385C22semidirect
137. C17×#385C22semidirect
138. C17×#383C22semidirect
139. C17×#382C22semidirect
140. C17×#381C22semidirect
141. C17×#380C22semidirect
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
152. 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. C4×C22⋊C4×C17C22semidirect
180. C4×C22⋊C4×C17C22semidirect
181. C4×C22⋊C4×C17C22semidirect
182. C17×#376C22semidirect
183. C17×#376C22semidirect
186. C2×C17×#95C22semidirect
187. C43×C17C22semidirect
213. C17×#126C2×C4semidirect
214. C17×#126C2×C4semidirect
215. C17×#124C2×C4semidirect
216. C17×#124C2×C4semidirect
217. C17×#123C2×C4semidirect
218. C17×#123C2×C4semidirect
219. C17×C22⋊Q8C2×C4semidirect
220. C17×#121C2×C4semidirect
221. C17×#121C2×C4semidirect
222. C17×#121C2×C4semidirect
223. C17×#120C2×C4semidirect
224. C17×#120C2×C4semidirect
235. C4×D4×C17C2×C4semidirect
236. C4×D4×C17C2×C4semidirect
265. C2×C22⋊C4×C17C2×C4semidirect
576. #34283C17direct (N × H)
723. #2374C2×C17semidirect
724. #2373C2×C17semidirect
725. #2373C2×C17semidirect
726. #2372C2×C17semidirect
727. #2368C2×C17semidirect
728. #2367C2×C17semidirect
729. #2364C2×C17semidirect
730. #2364C2×C17semidirect
731. #2363C2×C17semidirect
732. #2361C2×C17semidirect
733. #2360C2×C17semidirect
734. #2359C2×C17semidirect
735. #2358C2×C17semidirect
736. #2358C2×C17semidirect
737. #2358C2×C17semidirect
738. #2358C2×C17semidirect
739. #2337C2×C17semidirect
740. #2335C2×C17semidirect
741. #2334C2×C17semidirect
742. #2333C2×C17semidirect
743. #2318C2×C17semidirect
744. C4×#126C2×C17semidirect
745. C4×#124C2×C17semidirect
746. C4×#123C2×C17semidirect
747. C4×#121C2×C17semidirect
748. #2290C2×C17semidirect
749. C2×#388C2×C17semidirect
750. #2275C2×C17semidirect
751. #2273C2×C17semidirect
752. C42×D4C2×C17semidirect
822. #538C4×C17semidirect
835. C2×C4×Q8C22×C17semidirect
846. C2×C4×D4C22×C17semidirect
847. C2×#117C22×C17semidirect
855. C22×C42C22×C17semidirect
856. #391C22×C17semidirect
857. #391C22×C17semidirect
858. #391C22×C17semidirect
863. #390C22×C17semidirect
864. #389C22×C17semidirect
865. #389C22×C17semidirect
866. #389C22×C17semidirect
867. #389C22×C17semidirect
884. #388C22×C17semidirect
885. #388C22×C17semidirect
886. #388C22×C17semidirect
887. #388C22×C17semidirect
888. #388C22×C17semidirect
889. #388C22×C17semidirect
890. #388C22×C17semidirect
891. #388C22×C17semidirect
892. #387C22×C17semidirect
893. #387C22×C17semidirect
894. #387C22×C17semidirect
895. #387C22×C17semidirect
896. #387C22×C17semidirect
897. #387C22×C17semidirect
898. #387C22×C17semidirect
899. #387C22×C17semidirect
900. #387C22×C17semidirect
901. #387C22×C17semidirect
902. #387C22×C17semidirect
903. #387C22×C17semidirect
916. #386C22×C17semidirect
917. #386C22×C17semidirect
926. #385C22×C17semidirect
927. #385C22×C17semidirect
928. #383C22×C17semidirect
929. #382C22×C17semidirect
930. #381C22×C17semidirect
931. #380C22×C17semidirect
932. C4×C4⋊C4C22×C17semidirect
933. C4×C4⋊C4C22×C17semidirect
934. C4×C4⋊C4C22×C17semidirect
935. C4×C4⋊C4C22×C17semidirect
936. C4×C4⋊C4C22×C17semidirect
937. C4×C4⋊C4C22×C17semidirect
938. C4×C4⋊C4C22×C17semidirect
939. C4×C4⋊C4C22×C17semidirect
940. C4×C4⋊C4C22×C17semidirect
941. C4×C4⋊C4C22×C17semidirect
942. C4×C4⋊C4C22×C17semidirect
963. C4×C22⋊C4C22×C17semidirect
964. C4×C22⋊C4C22×C17semidirect
965. C4×C22⋊C4C22×C17semidirect
966. C4×C22⋊C4C22×C17semidirect
967. C4×C22⋊C4C22×C17semidirect
968. C4×C22⋊C4C22×C17semidirect
969. C4×C22⋊C4C22×C17semidirect
970. C4×C22⋊C4C22×C17semidirect
971. C4×C22⋊C4C22×C17semidirect
972. #376C22×C17semidirect
973. #376C22×C17semidirect
976. C2×#95C22×C17semidirect
977. C43C22×C17semidirect
1015. #126C2×C4×C17semidirect
1016. #126C2×C4×C17semidirect
1017. #124C2×C4×C17semidirect
1018. #124C2×C4×C17semidirect
1019. #123C2×C4×C17semidirect
1020. #123C2×C4×C17semidirect
1021. C22⋊Q8C2×C4×C17semidirect
1022. #121C2×C4×C17semidirect
1023. #121C2×C4×C17semidirect
1024. #121C2×C4×C17semidirect
1025. #120C2×C4×C17semidirect
1026. #120C2×C4×C17semidirect
1037. C4×D4C2×C4×C17semidirect
1038. C4×D4C2×C4×C17semidirect
1067. C2×C22⋊C4C2×C4×C17semidirect
1178. C17#34283direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C17×#5382
C17×#23742
C17×#23732
C17×#23722
C17×#23682
C17×#23672
C17×#23642
C17×#23632
C17×#23612
C17×#23602
C17×#23592
C17×#23582
C17×#23372
C17×#23352
C17×#23342
C17×#23332
C17×#23182
C4×C17×#1262
C4×C17×#1242
C4×C17×#1232
C4×C17×#1212
C17×#22902
C2×C17×#3882
C17×#22752
C17×#22732
C42×D4×C172
#3428317