Finite Group Databasebeta

← C17×#36807 #16894551

Subgroups — C17×#36807 #16894551

Order 4352.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#2852C211yesmaximal, characteristic, complemented
2C17×#2851C211yesmaximal, characteristic, complemented
3C17×#2796C211yesmaximal, characteristic, complemented
4C17×#2786C211yesmaximal, characteristic, complemented
5C17×#2757C211yesmaximal, characteristic, complemented
6C17×#2740C211yesmaximal, characteristic, complemented
7C17×#2737C211yesmaximal, characteristic, complemented
8C17×#2723C211yesmaximal, characteristic, complemented
9C17×#2711C211yesmaximal, characteristic, complemented
10C17×#2711C211yesmaximal, characteristic, complemented
11C17×#2707C211yesmaximal, characteristic, complemented
12C17×#2706C211yesmaximal, characteristic, complemented
13C17×#2705C211yesmaximal, characteristic, complemented
14C17×#2705C211yesmaximal, characteristic, complemented
15C17×#2696C211yesmaximal, characteristic, complemented
16C17×#2694C211yesmaximal, characteristic, complemented
17C17×#2691C211yesmaximal, characteristic, complemented
18C17×#2681C211yesmaximal, characteristic, complemented
19C17×#2626C211yesmaximal, characteristic, complemented
20C17×#2622C211yesmaximal, characteristic, complemented
21C17×#2480C211yesmaximal, characteristic, complemented
22C17×#2473C211yesmaximal, characteristic, complemented
23C17×#2449C211yesmaximal, characteristic, complemented
24C17×#2437C211yesmaximal, characteristic, complemented
25C17×#2418C211yesmaximal, characteristic, complemented
26C17×#2412C211yesmaximal, characteristic, complemented
27C17×#2410C211yesmaximal, characteristic
28C17×#2405C211yesmaximal, characteristic, complemented
29C17×#2321C211yesmaximal, characteristic, complemented
30C17×#2315C211yesmaximal, characteristic, complemented
31C2×C17×#390C211yesmaximal, characteristic, complemented
32C23×D4×C17C2211yescharacteristic
33C2×C17×#126C2211yescharacteristic, complemented
34C2×C17×#126C2211yescharacteristic, complemented
35C2×C17×#125C2211yescharacteristic, complemented
36C2×C17×#125C2211yescharacteristic, complemented
37C2×C17×#123C2211yescharacteristic
38C2×C17×#123C2211yescharacteristic
39C2×C17×#123C2211yescharacteristic, complemented
40C2×C17×#123C2211yescharacteristic, complemented
41C2×C17×C22⋊Q8C2211yescharacteristic
42C2×C17×C22⋊Q8C2211yescharacteristic, complemented
43C2×C17×C22⋊Q8C2211yescharacteristic, complemented
44C2×C17×#121C2211yescharacteristic
45C2×C17×#121C2211yescharacteristic
46C2×C17×#120C2211yescharacteristic
47C2×C17×#120C2211yescharacteristic
48C2×C4×D4×C17C2211yescharacteristic
49C22×C4⋊C4×C17C2211yescharacteristic
50C22×C22⋊C4×C17C2211yescharacteristic
51C22×C22⋊C4×C17C2211yescharacteristic
52C22×C22⋊C4×C17C2211yescharacteristic
53C22×C22⋊C4×C17C2211yescharacteristic
54C22×C22⋊C4×C17C2211yescharacteristic
55C22×C22⋊C4×C17C2211yescharacteristic
56C22×C42×C17C2211yescharacteristic
57C17×#400C2211yescharacteristic, complemented
58C17×#399C2211yescharacteristic, complemented
59C17×#399C2211yescharacteristic, complemented
60C17×#399C2211yescharacteristic, complemented
61C17×#399C2211yescharacteristic, complemented
62C17×#399C2211yescharacteristic, complemented
63C17×#398C2211yescharacteristic, complemented
64C17×#398C2211yescharacteristic, complemented
65C17×#398C2211yescharacteristic, complemented
66C17×#398C2211yescharacteristic, complemented
67C17×#397C2211yescharacteristic, complemented
68C17×#397C2211yescharacteristic, complemented
69C17×#397C2211yescharacteristic, complemented
70C17×#397C2211yescharacteristic, complemented
71C17×#397C2211yescharacteristic, complemented
72C17×#397C2211yescharacteristic, complemented
73C17×#397C2211yescharacteristic, complemented
74C17×#397C2211yescharacteristic, complemented
75C17×#397C2211yescharacteristic, complemented
76C17×#397C2211yescharacteristic, complemented
77C17×#396C2211yescharacteristic, complemented
78C17×#396C2211yescharacteristic, complemented
79C17×#396C2211yescharacteristic, complemented
80C17×#396C2211yescharacteristic, complemented
81C17×#396C2211yescharacteristic, complemented
82C17×#396C2211yescharacteristic, complemented
83C17×#396C2211yescharacteristic, complemented
84C17×#396C2211yescharacteristic, complemented
85C17×#395C2211yescharacteristic, complemented
86C17×#394C2211yescharacteristic
87C17×#394C2211yescharacteristic
88C17×#394C2211yescharacteristic
89C17×#394C2211yescharacteristic
90C17×#394C2211yescharacteristic
91C17×#394C2211yescharacteristic
92C17×#394C2211yescharacteristic, complemented
93C17×#394C2211yescharacteristic, complemented
94C17×#394C2211yescharacteristic, complemented
95C17×#394C2211yescharacteristic, complemented
96C17×#394C2211yescharacteristic, complemented
97C17×#394C2211yescharacteristic, complemented
98C17×#394C2211yescharacteristic, complemented
99C17×#394C2211yescharacteristic, complemented
100C17×#393C2211yescharacteristic, complemented
101C17×#393C2211yescharacteristic, complemented
102C17×#393C2211yescharacteristic, complemented
103C17×#392C2211yescharacteristic
104C17×#392C2211yescharacteristic
105C17×#390C2211yescharacteristic
106C17×#390C2211yescharacteristic
107C17×#390C2211yescharacteristic
108C17×#390C2211yescharacteristic
109C17×#390C2211yescharacteristic
110C17×#390C2211yescharacteristic
111C17×#390C2211yescharacteristic
112C17×#390C2211yescharacteristic
113C17×#390C2211yescharacteristic, complemented
114C17×#390C2211yescharacteristic, complemented
115C17×#389C2211yescharacteristic, complemented
116C17×#389C2211yescharacteristic, complemented
117C17×#389C2211yescharacteristic, complemented
118C17×#389C2211yescharacteristic, complemented
119C17×#388C2211yescharacteristic, complemented
120C17×#388C2211yescharacteristic, complemented
121C17×#388C2211yescharacteristic, complemented
122C17×#388C2211yescharacteristic, complemented
123C17×#388C2211yescharacteristic, complemented
124C17×#388C2211yescharacteristic, complemented
125C17×#388C2211yescharacteristic, complemented
126C17×#388C2211yescharacteristic, complemented
127C17×#388C2211yescharacteristic, complemented
128C17×#388C2211yescharacteristic, complemented
129C17×#388C2211yescharacteristic, complemented
130C17×#388C2211yescharacteristic, complemented
131C17×#387C2211yescharacteristic, complemented
132C17×#387C2211yescharacteristic, complemented
133C17×#387C2211yescharacteristic, complemented
134C17×#387C2211yescharacteristic, complemented
135C17×#387C2211yescharacteristic, complemented
136C17×#387C2211yescharacteristic, complemented
137C17×#387C2211yescharacteristic, complemented
138C17×#387C2211yescharacteristic, complemented
139C17×#387C2211yescharacteristic, complemented
140C17×#387C2211yescharacteristic, complemented
141C17×#386C2211yescharacteristic
142C17×#386C2211yescharacteristic
143C17×#386C2211yescharacteristic
144C17×#386C2211yescharacteristic
145C17×#386C2211yescharacteristic
146C17×#386C2211yescharacteristic
147C17×#386C2211yescharacteristic
148C17×#386C2211yescharacteristic
149C17×#386C2211yescharacteristic, complemented
150C17×#386C2211yescharacteristic, complemented
151C17×#386C2211yescharacteristic, complemented
152C17×#386C2211yescharacteristic, complemented
153C17×#385C2211yescharacteristic
154C17×#385C2211yescharacteristic
155C17×#385C2211yescharacteristic
156C17×#385C2211yescharacteristic
157C17×#385C2211yescharacteristic
158C17×#385C2211yescharacteristic
159C17×#385C2211yescharacteristic
160C17×#385C2211yescharacteristic
161C17×#385C2211yescharacteristic
162C17×#385C2211yescharacteristic
163C17×#385C2211yescharacteristic, complemented
164C17×#385C2211yescharacteristic, complemented
165C17×#385C2211yescharacteristic, complemented
166C17×#385C2211yescharacteristic, complemented
167C17×#385C2211yescharacteristic, complemented
168C17×#385C2211yescharacteristic, complemented
169C17×#385C2211yescharacteristic, complemented
170C17×#385C2211yescharacteristic, complemented
171C17×#383C2211yescharacteristic, complemented
172C17×#382C2211yescharacteristic, complemented
173C17×#381C2211yescharacteristic, complemented
174C17×#380C2211yescharacteristic
175C17×#380C2211yescharacteristic
176C17×#380C2211yescharacteristic
177C17×#380C2211yescharacteristic, complemented
178C17×#380C2211yescharacteristic, complemented
179C17×#380C2211yescharacteristic, complemented
180C17×#380C2211yescharacteristic, complemented
181C17×#380C2211yescharacteristic, complemented
182C17×#379C2211yescharacteristic
183C17×#379C2211yescharacteristic
184C17×#379C2211yescharacteristic
185C17×#379C2211yescharacteristic
186C4×C22⋊C4×C17C2211yescharacteristic
187C25×C17C2311yescharacteristic
188C25×C17C2311yescharacteristic
189C22×Q8×C17C2311yescharacteristic
190C22×D4×C17—24no—
191C22×D4×C17—42no—
192C22×D4×C17—42no—
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C22×D4×C17C2311yescharacteristic
201C22×D4×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
212C17×#126—42no—
213C17×#126—42no—
214C17×#125—42no—
215C17×#125—42no—
216C17×#123—42no—
217C17×#123—42no—
218C17×#123—42no—
219C17×#123—42no—
220C17×C22⋊Q8—42no—
221C17×C22⋊Q8—42no—
222C17×C22⋊Q8—42no—
223C17×#121—42no—
224C17×#121—42no—
225C17×#120—24no—
226C17×#120—42no—
227C4×D4×C17—42no—
228C2×C4⋊C4×C17—42no—
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×C4⋊C4×C17C2311yescharacteristic
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C4⋊C4×C17C2311yescharacteristic
240C2×C4⋊C4×C17C2311yescharacteristic
241C2×C4⋊C4×C17C2311yescharacteristic
242C2×C4⋊C4×C17C2311yescharacteristic
243C2×C4⋊C4×C17C2311yescharacteristic
244C2×C4⋊C4×C17C2311yescharacteristic
245C2×C4⋊C4×C17C2311yescharacteristic
246C2×C4⋊C4×C17C2311yescharacteristic
247C2×C4⋊C4×C17C2311yescharacteristic
248C2×C4⋊C4×C17C2311yescharacteristic
249C2×C4⋊C4×C17C2311yescharacteristic
250C2×C4⋊C4×C17C2311yescharacteristic
251C2×C4⋊C4×C17C2311yescharacteristic
252C2×C4⋊C4×C17C2311yescharacteristic
253C2×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×C22⋊C4×C17—24no—
264C2×C22⋊C4×C17—42no—
265C2×C22⋊C4×C17—42no—
266C2×C22⋊C4×C17—42no—
267C2×C22⋊C4×C17—42no—
268C2×C22⋊C4×C17—42no—
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×C22⋊C4×C17C2311yescharacteristic
309C2×C22⋊C4×C17C2311yescharacteristic
310C2×C22⋊C4×C17C2311yescharacteristic
311C2×C22⋊C4×C17C2311yescharacteristic
312C2×C22⋊C4×C17C2311yescharacteristic
313C2×C22⋊C4×C17C2311yescharacteristic
314C2×C22⋊C4×C17C2311yescharacteristic
315C2×C22⋊C4×C17C2311yescharacteristic
316C2×C22⋊C4×C17C2311yescharacteristic
317C2×C22⋊C4×C17C2311yescharacteristic
318C2×C22⋊C4×C17C2311yescharacteristic
319C2×C22⋊C4×C17C2311yescharacteristic
320C2×C22⋊C4×C17C2311yescharacteristic
321C2×C22⋊C4×C17C2311yescharacteristic
322C2×C22⋊C4×C17C2311yescharacteristic
323C2×C22⋊C4×C17C2311yescharacteristic
324C2×C22⋊C4×C17C2311yescharacteristic
325C2×C42×C17—42no—
326C2×C42×C17C2311yescharacteristic
327C2×C42×C17C2311yescharacteristic
328C2×C42×C17C2311yescharacteristic
329C2×C42×C17C2311yescharacteristic
330C2×C42×C17C2311yescharacteristic
331C2×C42×C17C2311yescharacteristic
332C2×C42×C17C2311yescharacteristic
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
369C24×C17—22no—
370C24×C17—22no—
371C24×C17—22no—
372C24×C17—22no—
373C24×C17—22no—
374C24×C17—41no—
375C24×C17—41no—
376C24×C17—41no—
377C24×C17—41no—
378C24×C17—41no—
379C24×C17—41no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17#4114yes—
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C24×C17C2411yescharacteristic
388C24×C17C2411yescharacteristic
389C2×Q8×C17—41no—
390C2×Q8×C17—41no—
391C2×Q8×C17—41no—
392C2×D4×C17—22no—
393C2×D4×C17—22no—
394C2×D4×C17—22no—
395C2×D4×C17—22no—
396C2×D4×C17—22no—
397C2×D4×C17—22no—
398C2×D4×C17—22no—
399C2×D4×C17—22no—
400C2×D4×C17—22no—
401C2×D4×C17—22no—
402C2×D4×C17—22no—
403C2×D4×C17—22no—
404C2×D4×C17—22no—
405C2×D4×C17—41no—
406C2×D4×C17—41no—
407C2×D4×C17—41no—
408C2×D4×C17—41no—
409C2×D4×C17—416no—
410C2×D4×C17—41no—
411C2×D4×C17—41no—
412C2×D4×C17—41no—
413C2×D4×C17—41no—
414C2×D4×C17—41no—
415C2×D4×C17—41no—
416C2×D4×C17—41no—
417C2×D4×C17—41no—
418C2×D4×C17—41no—
419C2×D4×C17—41no—
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—22no—
429C22×C4×C17—22no—
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×C17C2411yescharacteristic
451C22×C4×C17C2411yescharacteristic
452C22×C4×C17C2411yescharacteristic
453C22×C4×C17C2411yescharacteristic
454C22×C4×C17C2411yescharacteristic
455C22×C4×C17C2411yescharacteristic
456C22×C4×C17C2411yescharacteristic
457C22×C4×C17C2411yescharacteristic
458C22×C4×C17C2411yescharacteristic
459C22×C4×C17C2411yescharacteristic
460C22×C4×C17C2411yescharacteristic
461C22×C4×C17C2411yescharacteristic
462C22×C4×C17C2411yescharacteristic
463C22×C4×C17C2411yescharacteristic
464C22×C4×C17C2411yescharacteristic
465C22×C4×C17C2411yescharacteristic
466C22×C4×C17C2411yescharacteristic
467C22×C4×C17C2411yescharacteristic
468C22×C4×C17C2411yescharacteristic
469C22×C4×C17C2411yescharacteristic
470C22×C4×C17C2411yescharacteristic
471C22×C4×C17C2411yescharacteristic
472C22×C4×C17C2411yescharacteristic
473C22×C4×C17C2411yescharacteristic
474C22×C4×C17C2411yescharacteristic
475C4⋊C4×C17—22no—
476C4⋊C4×C17—22no—
477C4⋊C4×C17—22no—
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—41no—
487C4⋊C4×C17—41no—
488C4⋊C4×C17—41no—
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×C17—41no—
501C4⋊C4×C17—41no—
502C4⋊C4×C17—41no—
503C4⋊C4×C17—41no—
504C4⋊C4×C17—41no—
505C4⋊C4×C17—41no—
506C4⋊C4×C17—41no—
507C4⋊C4×C17—41no—
508C4⋊C4×C17—41no—
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—22no—
525C22⋊C4×C17—22no—
526C22⋊C4×C17—22no—
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×C17—41no—
535C22⋊C4×C17—41no—
536C22⋊C4×C17—41no—
537C22⋊C4×C17—41no—
538C22⋊C4×C17—41no—
539C22⋊C4×C17—41no—
540C22⋊C4×C17—41no—
541C22⋊C4×C17—41no—
542C22⋊C4×C17—41no—
543C22⋊C4×C17—41no—
544C22⋊C4×C17—41no—
545C22⋊C4×C17—41no—
546C22⋊C4×C17—41no—
547C22⋊C4×C17—41no—
548C22⋊C4×C17—41no—
549C22⋊C4×C17—41no—
550C22⋊C4×C17—41no—
551C22⋊C4×C17—41no—
552C22⋊C4×C17—41no—
553C22⋊C4×C17—41no—
554C22⋊C4×C17—41no—
555C22⋊C4×C17—41no—
556C22⋊C4×C17—41no—
557C22⋊C4×C17—41no—
558C22⋊C4×C17—41no—
559C22⋊C4×C17—41no—
560C22⋊C4×C17—41no—
561C22⋊C4×C17—41no—
562C22⋊C4×C17—41no—
563C22⋊C4×C17—41no—
564C22⋊C4×C17—41no—
565C42×C17—22no—
566C42×C17—22no—
567C42×C17—41no—
568C42×C17—41no—
569C42×C17—41no—
570C42×C17—41no—
571C42×C17—41no—
572#36807C1711yesmaximal, characteristic, direct product factor, Sylow
573C23×C17—21no—
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17—21no—
578C23×C17—21no—
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17—21no—
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—21no—
589C23×C17—28no—
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—21no—
606C23×C17—21no—
607C23×C17—21no—
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—44no—
612C23×C17—44no—
613C23×C17—44no—
614C23×C17—44no—
615C23×C17—44no—
616C23×C17—82no—
617C23×C17—82no—
618C23×C17—82no—
619C23×C17—82no—
620C23×C17—82no—
621C23×C17—82no—
622C23×C17—82no—
623C23×C17—82no—
624C23×C17C2×#4112yes—
625C23×C17C2×#4112yes—
626C23×C17C2×#4112yes—
627C23×C17H(5,𝔽2)12yes—
628C23×C172−1+412yes—
629C23×C17C2511yescharacteristic
630Q8×C17—82no—
631D4×C17—44no—
632D4×C17—44no—
633D4×C17—44no—
634D4×C17—44no—
635D4×C17—44no—
636D4×C17—82no—
637D4×C17—82no—
638D4×C17—82no—
639D4×C17—82no—
640C2×C4×C17—28no—
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—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—44no—
714C2×C4×C17—44no—
715C2×C4×C17—82no—
716C2×C4×C17—82no—
717C2×C4×C17—82no—
718C2×C4×C17—82no—
719C2×C4×C17—82no—
720C2×C4×C17—82no—
721C2×C4×C17—82no—
722C2×C4×C17H(5,𝔽2)12yes—
723C2×C4×C17H(5,𝔽2)12yes—
724C2×C4×C17H(5,𝔽2)12yes—
725#2852C2×C1711yescharacteristic, complemented
726#2851C2×C1711yescharacteristic, complemented
727#2796C2×C1711yescharacteristic, complemented
728#2786C2×C1711yescharacteristic, complemented
729#2757C2×C1711yescharacteristic, complemented
730#2740C2×C1711yescharacteristic, complemented
731#2737C2×C1711yescharacteristic, complemented
732#2723C2×C1711yescharacteristic, complemented
733#2711C2×C1711yescharacteristic, complemented
734#2711C2×C1711yescharacteristic, complemented
735#2707C2×C1711yescharacteristic, complemented
736#2706C2×C1711yescharacteristic, complemented
737#2705C2×C1711yescharacteristic, complemented
738#2705C2×C1711yescharacteristic, complemented
739#2696C2×C1711yescharacteristic, complemented
740#2694C2×C1711yescharacteristic, complemented
741#2691C2×C1711yescharacteristic, complemented
742#2681C2×C1711yescharacteristic, complemented
743#2626C2×C1711yescharacteristic, complemented
744#2622C2×C1711yescharacteristic, complemented
745#2480C2×C1711yescharacteristic, complemented
746#2473C2×C1711yescharacteristic, complemented
747#2449C2×C1711yescharacteristic, complemented
748#2437C2×C1711yescharacteristic, complemented
749#2418C2×C1711yescharacteristic, complemented
750#2412C2×C1711yescharacteristic, complemented
751#2410C2×C1711yescharacteristic
752#2405C2×C1711yescharacteristic, complemented
753#2321C2×C1711yescharacteristic, complemented
754#2315C2×C1711yescharacteristic, complemented
755C2×#390C2×C1711yescharacteristic, complemented
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—41no—
769C22×C17—41no—
770C22×C17—41no—
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—41no—
788C22×C17—41no—
789C22×C17—41no—
790C22×C17—41no—
791C22×C17—41no—
792C22×C17—41no—
793C22×C17—41no—
794C22×C17—41no—
795C22×C17—41no—
796C22×C17—41no—
797C22×C17—88no—
798C22×C17—88no—
799C22×C17#53914yes—
800C22×C17C22×#4111yescharacteristic
801C22×C17C2×H(5,𝔽2)11yescharacteristic
802C22×C17C2×H(5,𝔽2)11yescharacteristic
803C22×C17C2×H(5,𝔽2)11yescharacteristic
804C22×C17C2×H(5,𝔽2)11yescharacteristic
805C22×C17C2×2−1+411yescharacteristic
806C22×C17#58511yescharacteristic
807C4×C17—22no—
808C4×C17—22no—
809C4×C17—22no—
810C4×C17—41no—
811C4×C17—41no—
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—
822C4×C17—41no—
823C4×C17—41no—
824C4×C17—41no—
825C4×C17—41no—
826C4×C17—41no—
827C4×C17—41no—
828C4×C17—41no—
829C4×C17—41no—
830C4×C17—41no—
831C4×C17—41no—
832C23×D4C22×C1711yescharacteristic
833C2×#126C22×C1711yescharacteristic, complemented
834C2×#126C22×C1711yescharacteristic, complemented
835C2×#125C22×C1711yescharacteristic, complemented
836C2×#125C22×C1711yescharacteristic, complemented
837C2×#123C22×C1711yescharacteristic
838C2×#123C22×C1711yescharacteristic
839C2×#123C22×C1711yescharacteristic, complemented
840C2×#123C22×C1711yescharacteristic, complemented
841C2×C22⋊Q8C22×C1711yescharacteristic
842C2×C22⋊Q8C22×C1711yescharacteristic, complemented
843C2×C22⋊Q8C22×C1711yescharacteristic, complemented
844C2×#121C22×C1711yescharacteristic
845C2×#121C22×C1711yescharacteristic
846C2×#120C22×C1711yescharacteristic
847C2×#120C22×C1711yescharacteristic
848C2×C4×D4C22×C1711yescharacteristic
849C22×C4⋊C4C22×C1711yescharacteristic
850C22×C22⋊C4C22×C1711yescharacteristic
851C22×C22⋊C4C22×C1711yescharacteristic
852C22×C22⋊C4C22×C1711yescharacteristic
853C22×C22⋊C4C22×C1711yescharacteristic
854C22×C22⋊C4C22×C1711yescharacteristic
855C22×C22⋊C4C22×C1711yescharacteristic
856C22×C42C22×C1711yescharacteristic
857#400C22×C1711yescharacteristic, complemented
858#399C22×C1711yescharacteristic, complemented
859#399C22×C1711yescharacteristic, complemented
860#399C22×C1711yescharacteristic, complemented
861#399C22×C1711yescharacteristic, complemented
862#399C22×C1711yescharacteristic, complemented
863#398C22×C1711yescharacteristic, complemented
864#398C22×C1711yescharacteristic, complemented
865#398C22×C1711yescharacteristic, complemented
866#398C22×C1711yescharacteristic, complemented
867#397C22×C1711yescharacteristic, complemented
868#397C22×C1711yescharacteristic, complemented
869#397C22×C1711yescharacteristic, complemented
870#397C22×C1711yescharacteristic, complemented
871#397C22×C1711yescharacteristic, complemented
872#397C22×C1711yescharacteristic, complemented
873#397C22×C1711yescharacteristic, complemented
874#397C22×C1711yescharacteristic, complemented
875#397C22×C1711yescharacteristic, complemented
876#397C22×C1711yescharacteristic, complemented
877#396C22×C1711yescharacteristic, complemented
878#396C22×C1711yescharacteristic, complemented
879#396C22×C1711yescharacteristic, complemented
880#396C22×C1711yescharacteristic, complemented
881#396C22×C1711yescharacteristic, complemented
882#396C22×C1711yescharacteristic, complemented
883#396C22×C1711yescharacteristic, complemented
884#396C22×C1711yescharacteristic, complemented
885#395C22×C1711yescharacteristic, complemented
886#394C22×C1711yescharacteristic
887#394C22×C1711yescharacteristic
888#394C22×C1711yescharacteristic
889#394C22×C1711yescharacteristic
890#394C22×C1711yescharacteristic
891#394C22×C1711yescharacteristic
892#394C22×C1711yescharacteristic, complemented
893#394C22×C1711yescharacteristic, complemented
894#394C22×C1711yescharacteristic, complemented
895#394C22×C1711yescharacteristic, complemented
896#394C22×C1711yescharacteristic, complemented
897#394C22×C1711yescharacteristic, complemented
898#394C22×C1711yescharacteristic, complemented
899#394C22×C1711yescharacteristic, complemented
900#393C22×C1711yescharacteristic, complemented
901#393C22×C1711yescharacteristic, complemented
902#393C22×C1711yescharacteristic, complemented
903#392C22×C1711yescharacteristic
904#392C22×C1711yescharacteristic
905#390C22×C1711yescharacteristic
906#390C22×C1711yescharacteristic
907#390C22×C1711yescharacteristic
908#390C22×C1711yescharacteristic
909#390C22×C1711yescharacteristic
910#390C22×C1711yescharacteristic
911#390C22×C1711yescharacteristic
912#390C22×C1711yescharacteristic
913#390C22×C1711yescharacteristic, complemented
914#390C22×C1711yescharacteristic, complemented
915#389C22×C1711yescharacteristic, complemented
916#389C22×C1711yescharacteristic, complemented
917#389C22×C1711yescharacteristic, complemented
918#389C22×C1711yescharacteristic, complemented
919#388C22×C1711yescharacteristic, complemented
920#388C22×C1711yescharacteristic, complemented
921#388C22×C1711yescharacteristic, complemented
922#388C22×C1711yescharacteristic, complemented
923#388C22×C1711yescharacteristic, complemented
924#388C22×C1711yescharacteristic, complemented
925#388C22×C1711yescharacteristic, complemented
926#388C22×C1711yescharacteristic, complemented
927#388C22×C1711yescharacteristic, complemented
928#388C22×C1711yescharacteristic, complemented
929#388C22×C1711yescharacteristic, complemented
930#388C22×C1711yescharacteristic, complemented
931#387C22×C1711yescharacteristic, complemented
932#387C22×C1711yescharacteristic, complemented
933#387C22×C1711yescharacteristic, complemented
934#387C22×C1711yescharacteristic, complemented
935#387C22×C1711yescharacteristic, complemented
936#387C22×C1711yescharacteristic, complemented
937#387C22×C1711yescharacteristic, complemented
938#387C22×C1711yescharacteristic, complemented
939#387C22×C1711yescharacteristic, complemented
940#387C22×C1711yescharacteristic, complemented
941#386C22×C1711yescharacteristic
942#386C22×C1711yescharacteristic
943#386C22×C1711yescharacteristic
944#386C22×C1711yescharacteristic
945#386C22×C1711yescharacteristic
946#386C22×C1711yescharacteristic
947#386C22×C1711yescharacteristic
948#386C22×C1711yescharacteristic
949#386C22×C1711yescharacteristic, complemented
950#386C22×C1711yescharacteristic, complemented
951#386C22×C1711yescharacteristic, complemented
952#386C22×C1711yescharacteristic, complemented
953#385C22×C1711yescharacteristic
954#385C22×C1711yescharacteristic
955#385C22×C1711yescharacteristic
956#385C22×C1711yescharacteristic
957#385C22×C1711yescharacteristic
958#385C22×C1711yescharacteristic
959#385C22×C1711yescharacteristic
960#385C22×C1711yescharacteristic
961#385C22×C1711yescharacteristic
962#385C22×C1711yescharacteristic
963#385C22×C1711yescharacteristic, complemented
964#385C22×C1711yescharacteristic, complemented
965#385C22×C1711yescharacteristic, complemented
966#385C22×C1711yescharacteristic, complemented
967#385C22×C1711yescharacteristic, complemented
968#385C22×C1711yescharacteristic, complemented
969#385C22×C1711yescharacteristic, complemented
970#385C22×C1711yescharacteristic, complemented
971#383C22×C1711yescharacteristic, complemented
972#382C22×C1711yescharacteristic, complemented
973#381C22×C1711yescharacteristic, complemented
974#380C22×C1711yescharacteristic
975#380C22×C1711yescharacteristic
976#380C22×C1711yescharacteristic
977#380C22×C1711yescharacteristic, complemented
978#380C22×C1711yescharacteristic, complemented
979#380C22×C1711yescharacteristic, complemented
980#380C22×C1711yescharacteristic, complemented
981#380C22×C1711yescharacteristic, complemented
982#379C22×C1711yescharacteristic
983#379C22×C1711yescharacteristic
984#379C22×C1711yescharacteristic
985#379C22×C1711yescharacteristic
986C4×C22⋊C4C22×C1711yescharacteristic
987C2×C17—24no—
988C2×C17—42no—
989C2×C17—42no—
990C2×C17—81no—
991C2×C17—81no—
992C2×C17—81no—
993C2×C17C2×#53911yescharacteristic
994C2×C17#349011yescharacteristic
995C2×C17#350511yescharacteristic
996C2×C17#353611yescharacteristic
997C2×C17#354211yescharacteristic
998C2×C17#354311yescharacteristic
999C2×C17#356111yescharacteristic
1000C25C23×C1711yescharacteristic
1001C25C23×C1711yescharacteristic
1002C22×Q8C23×C1711yescharacteristic
1003C22×D4—24no—
1004C22×D4—42no—
1005C22×D4—42no—
1006C22×D4C23×C1711yescharacteristic
1007C22×D4C23×C1711yescharacteristic
1008C22×D4C23×C1711yescharacteristic
1009C22×D4C23×C1711yescharacteristic
1010C22×D4C23×C1711yescharacteristic
1011C22×D4C23×C1711yescharacteristic
1012C22×D4C23×C1711yescharacteristic
1013C22×D4C23×C1711yescharacteristic
1014C22×D4C23×C1711yescharacteristic
1015C23×C4C23×C1711yescharacteristic
1016C23×C4C23×C1711yescharacteristic
1017C23×C4C23×C1711yescharacteristic
1018C23×C4C23×C1711yescharacteristic
1019C23×C4C23×C1711yescharacteristic
1020C23×C4C23×C1711yescharacteristic
1021C23×C4C23×C1711yescharacteristic
1022C23×C4C23×C1711yescharacteristic
1023C23×C4C23×C1711yescharacteristic
1024C23×C4C23×C1711yescharacteristic
1025#126—42no—
1026#126—42no—
1027#125—42no—
1028#125—42no—
1029#123—42no—
1030#123—42no—
1031#123—42no—
1032#123—42no—
1033C22⋊Q8—42no—
1034C22⋊Q8—42no—
1035C22⋊Q8—42no—
1036#121—42no—
1037#121—42no—
1038#120—24no—
1039#120—42no—
1040C4×D4—42no—
1041C2×C4⋊C4—42no—
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×C4⋊C4C23×C1711yescharacteristic
1064C2×C4⋊C4C23×C1711yescharacteristic
1065C2×C4⋊C4C23×C1711yescharacteristic
1066C2×C4⋊C4C23×C1711yescharacteristic
1067C2×C4⋊C4C23×C1711yescharacteristic
1068C2×C4⋊C4C23×C1711yescharacteristic
1069C2×C4⋊C4C23×C1711yescharacteristic
1070C2×C4⋊C4C23×C1711yescharacteristic
1071C2×C4⋊C4C23×C1711yescharacteristic
1072C2×C4⋊C4C23×C1711yescharacteristic
1073C2×C4⋊C4C23×C1711yescharacteristic
1074C2×C4⋊C4C23×C1711yescharacteristic
1075C2×C4⋊C4C23×C1711yescharacteristic
1076C2×C22⋊C4—24no—
1077C2×C22⋊C4—42no—
1078C2×C22⋊C4—42no—
1079C2×C22⋊C4—42no—
1080C2×C22⋊C4—42no—
1081C2×C22⋊C4—42no—
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×C22⋊C4C23×C1711yescharacteristic
1111C2×C22⋊C4C23×C1711yescharacteristic
1112C2×C22⋊C4C23×C1711yescharacteristic
1113C2×C22⋊C4C23×C1711yescharacteristic
1114C2×C22⋊C4C23×C1711yescharacteristic
1115C2×C22⋊C4C23×C1711yescharacteristic
1116C2×C22⋊C4C23×C1711yescharacteristic
1117C2×C22⋊C4C23×C1711yescharacteristic
1118C2×C22⋊C4C23×C1711yescharacteristic
1119C2×C22⋊C4C23×C1711yescharacteristic
1120C2×C22⋊C4C23×C1711yescharacteristic
1121C2×C22⋊C4C23×C1711yescharacteristic
1122C2×C22⋊C4C23×C1711yescharacteristic
1123C2×C22⋊C4C23×C1711yescharacteristic
1124C2×C22⋊C4C23×C1711yescharacteristic
1125C2×C22⋊C4C23×C1711yescharacteristic
1126C2×C22⋊C4C23×C1711yescharacteristic
1127C2×C22⋊C4C23×C1711yescharacteristic
1128C2×C22⋊C4C23×C1711yescharacteristic
1129C2×C22⋊C4C23×C1711yescharacteristic
1130C2×C22⋊C4C23×C1711yescharacteristic
1131C2×C22⋊C4C23×C1711yescharacteristic
1132C2×C22⋊C4C23×C1711yescharacteristic
1133C2×C22⋊C4C23×C1711yescharacteristic
1134C2×C22⋊C4C23×C1711yescharacteristic
1135C2×C22⋊C4C23×C1711yescharacteristic
1136C2×C22⋊C4C23×C1711yescharacteristic
1137C2×C22⋊C4C23×C1711yescharacteristic
1138C2×C42—42no—
1139C2×C42C23×C1711yescharacteristic
1140C2×C42C23×C1711yescharacteristic
1141C2×C42C23×C1711yescharacteristic
1142C2×C42C23×C1711yescharacteristic
1143C2×C42C23×C1711yescharacteristic
1144C2×C42C23×C1711yescharacteristic
1145C2×C42C23×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
1178#95C23×C1711yescharacteristic
1179#95C23×C1711yescharacteristic
1180#95C23×C1711yescharacteristic
1181#95C23×C1711yescharacteristic
1182C17#3680711yescharacteristic, direct product factor, Sylow
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—41no—
1195C24—41no—
1196C24#41×C1714yes—
1197C24C24×C1711yescharacteristic
1198C24C24×C1711yescharacteristic
1199C24C24×C1711yescharacteristic
1200C24C24×C1711yescharacteristic
1201C24C24×C1711yescharacteristic
1202C24C24×C1711yescharacteristic
1203C2×Q8—41no—
1204C2×Q8—41no—
1205C2×Q8—41no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—416no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
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×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
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—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C42—22no—
1380C42—22no—
1381C42—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—41no—
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—28no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—82no—
1435C23—82no—
1436C23—82no—
1437C23C2×#41×C1712yes—
1438C23C2×#41×C1712yes—
1439C23C2×#41×C1712yes—
1440C23C17×H(5,𝔽2)12yes—
1441C23C17×2−1+412yes—
1442C23C25×C1711yescharacteristic
1443Q8—82no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447D4—44no—
1448D4—44no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—82no—
1453C2×C4—28no—
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—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4—82no—
1533C2×C4—82no—
1534C2×C4—82no—
1535C2×C4C17×H(5,𝔽2)12yes—
1536C2×C4C17×H(5,𝔽2)12yes—
1537C2×C4C17×H(5,𝔽2)12yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—88no—
1580C22—88no—
1581C22C17×#53914yes—
1582C22C22×#41×C1711yescharacteristic
1583C22C2×C17×H(5,𝔽2)11yescharacteristic
1584C22C2×C17×H(5,𝔽2)11yescharacteristic
1585C22C2×C17×H(5,𝔽2)11yescharacteristic
1586C22C2×C17×H(5,𝔽2)11yescharacteristic
1587C22C2×C17×2−1+411yescharacteristic
1588C22C17×#58511yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—81no—
1620C2C2×C17×#53911yescharacteristic
1621C2C17×#349011yescharacteristic
1622C2C17×#350511yescharacteristic
1623C2C17×#353611yescharacteristic
1624C2C17×#354211yescharacteristic
1625C2C17×#354311yescharacteristic
1626C2C17×#356111yescharacteristic
subgroupG/H
center, socleC23×C17C25
commutator, Frattini, cosocleC23C25×C17
prime radicalC17×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C17 ◁ G

Complements

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

NH ≅ G/Ntype
1. C17×#2852C2semidirect
2. C17×#2851C2semidirect
3. C17×#2796C2semidirect
4. C17×#2786C2semidirect
5. C17×#2757C2semidirect
6. C17×#2740C2semidirect
7. C17×#2737C2semidirect
8. C17×#2723C2semidirect
9. C17×#2711C2semidirect
10. C17×#2711C2semidirect
11. C17×#2707C2semidirect
12. C17×#2706C2semidirect
13. C17×#2705C2semidirect
14. C17×#2705C2semidirect
15. C17×#2696C2semidirect
16. C17×#2694C2semidirect
17. C17×#2691C2semidirect
18. C17×#2681C2semidirect
19. C17×#2626C2semidirect
20. C17×#2622C2semidirect
21. C17×#2480C2semidirect
22. C17×#2473C2semidirect
23. C17×#2449C2semidirect
24. C17×#2437C2semidirect
25. C17×#2418C2semidirect
26. C17×#2412C2semidirect
28. C17×#2405C2semidirect
29. C17×#2321C2semidirect
30. C17×#2315C2semidirect
31. C2×C17×#390C2semidirect
33. C2×C17×#126C22semidirect
34. C2×C17×#126C22semidirect
35. C2×C17×#125C22semidirect
36. C2×C17×#125C22semidirect
39. C2×C17×#123C22semidirect
40. C2×C17×#123C22semidirect
42. C2×C17×C22⋊Q8C22semidirect
43. C2×C17×C22⋊Q8C22semidirect
57. C17×#400C22semidirect
58. C17×#399C22semidirect
59. C17×#399C22semidirect
60. C17×#399C22semidirect
61. C17×#399C22semidirect
62. C17×#399C22semidirect
63. C17×#398C22semidirect
64. C17×#398C22semidirect
65. C17×#398C22semidirect
66. C17×#398C22semidirect
67. C17×#397C22semidirect
68. C17×#397C22semidirect
69. C17×#397C22semidirect
70. C17×#397C22semidirect
71. C17×#397C22semidirect
72. C17×#397C22semidirect
73. C17×#397C22semidirect
74. C17×#397C22semidirect
75. C17×#397C22semidirect
76. C17×#397C22semidirect
77. C17×#396C22semidirect
78. C17×#396C22semidirect
79. C17×#396C22semidirect
80. C17×#396C22semidirect
81. C17×#396C22semidirect
82. C17×#396C22semidirect
83. C17×#396C22semidirect
84. C17×#396C22semidirect
85. C17×#395C22semidirect
92. C17×#394C22semidirect
93. C17×#394C22semidirect
94. C17×#394C22semidirect
95. C17×#394C22semidirect
96. C17×#394C22semidirect
97. C17×#394C22semidirect
98. C17×#394C22semidirect
99. C17×#394C22semidirect
100. C17×#393C22semidirect
101. C17×#393C22semidirect
102. C17×#393C22semidirect
113. C17×#390C22semidirect
114. C17×#390C22semidirect
115. C17×#389C22semidirect
116. C17×#389C22semidirect
117. C17×#389C22semidirect
118. C17×#389C22semidirect
119. C17×#388C22semidirect
120. C17×#388C22semidirect
121. C17×#388C22semidirect
122. C17×#388C22semidirect
123. C17×#388C22semidirect
124. C17×#388C22semidirect
125. C17×#388C22semidirect
126. C17×#388C22semidirect
127. C17×#388C22semidirect
128. C17×#388C22semidirect
129. C17×#388C22semidirect
130. C17×#388C22semidirect
131. C17×#387C22semidirect
132. C17×#387C22semidirect
133. C17×#387C22semidirect
134. C17×#387C22semidirect
135. C17×#387C22semidirect
136. C17×#387C22semidirect
137. C17×#387C22semidirect
138. C17×#387C22semidirect
139. C17×#387C22semidirect
140. C17×#387C22semidirect
149. C17×#386C22semidirect
150. C17×#386C22semidirect
151. C17×#386C22semidirect
152. C17×#386C22semidirect
163. C17×#385C22semidirect
164. C17×#385C22semidirect
165. C17×#385C22semidirect
166. C17×#385C22semidirect
167. C17×#385C22semidirect
168. C17×#385C22semidirect
169. C17×#385C22semidirect
170. C17×#385C22semidirect
171. C17×#383C22semidirect
172. C17×#382C22semidirect
173. C17×#381C22semidirect
177. C17×#380C22semidirect
178. C17×#380C22semidirect
179. C17×#380C22semidirect
180. C17×#380C22semidirect
181. C17×#380C22semidirect
572. #36807C17direct (N × H)
725. #2852C2×C17semidirect
726. #2851C2×C17semidirect
727. #2796C2×C17semidirect
728. #2786C2×C17semidirect
729. #2757C2×C17semidirect
730. #2740C2×C17semidirect
731. #2737C2×C17semidirect
732. #2723C2×C17semidirect
733. #2711C2×C17semidirect
734. #2711C2×C17semidirect
735. #2707C2×C17semidirect
736. #2706C2×C17semidirect
737. #2705C2×C17semidirect
738. #2705C2×C17semidirect
739. #2696C2×C17semidirect
740. #2694C2×C17semidirect
741. #2691C2×C17semidirect
742. #2681C2×C17semidirect
743. #2626C2×C17semidirect
744. #2622C2×C17semidirect
745. #2480C2×C17semidirect
746. #2473C2×C17semidirect
747. #2449C2×C17semidirect
748. #2437C2×C17semidirect
749. #2418C2×C17semidirect
750. #2412C2×C17semidirect
752. #2405C2×C17semidirect
753. #2321C2×C17semidirect
754. #2315C2×C17semidirect
755. C2×#390C2×C17semidirect
833. C2×#126C22×C17semidirect
834. C2×#126C22×C17semidirect
835. C2×#125C22×C17semidirect
836. C2×#125C22×C17semidirect
839. C2×#123C22×C17semidirect
840. C2×#123C22×C17semidirect
842. C2×C22⋊Q8C22×C17semidirect
843. C2×C22⋊Q8C22×C17semidirect
857. #400C22×C17semidirect
858. #399C22×C17semidirect
859. #399C22×C17semidirect
860. #399C22×C17semidirect
861. #399C22×C17semidirect
862. #399C22×C17semidirect
863. #398C22×C17semidirect
864. #398C22×C17semidirect
865. #398C22×C17semidirect
866. #398C22×C17semidirect
867. #397C22×C17semidirect
868. #397C22×C17semidirect
869. #397C22×C17semidirect
870. #397C22×C17semidirect
871. #397C22×C17semidirect
872. #397C22×C17semidirect
873. #397C22×C17semidirect
874. #397C22×C17semidirect
875. #397C22×C17semidirect
876. #397C22×C17semidirect
877. #396C22×C17semidirect
878. #396C22×C17semidirect
879. #396C22×C17semidirect
880. #396C22×C17semidirect
881. #396C22×C17semidirect
882. #396C22×C17semidirect
883. #396C22×C17semidirect
884. #396C22×C17semidirect
885. #395C22×C17semidirect
892. #394C22×C17semidirect
893. #394C22×C17semidirect
894. #394C22×C17semidirect
895. #394C22×C17semidirect
896. #394C22×C17semidirect
897. #394C22×C17semidirect
898. #394C22×C17semidirect
899. #394C22×C17semidirect
900. #393C22×C17semidirect
901. #393C22×C17semidirect
902. #393C22×C17semidirect
913. #390C22×C17semidirect
914. #390C22×C17semidirect
915. #389C22×C17semidirect
916. #389C22×C17semidirect
917. #389C22×C17semidirect
918. #389C22×C17semidirect
919. #388C22×C17semidirect
920. #388C22×C17semidirect
921. #388C22×C17semidirect
922. #388C22×C17semidirect
923. #388C22×C17semidirect
924. #388C22×C17semidirect
925. #388C22×C17semidirect
926. #388C22×C17semidirect
927. #388C22×C17semidirect
928. #388C22×C17semidirect
929. #388C22×C17semidirect
930. #388C22×C17semidirect
931. #387C22×C17semidirect
932. #387C22×C17semidirect
933. #387C22×C17semidirect
934. #387C22×C17semidirect
935. #387C22×C17semidirect
936. #387C22×C17semidirect
937. #387C22×C17semidirect
938. #387C22×C17semidirect
939. #387C22×C17semidirect
940. #387C22×C17semidirect
949. #386C22×C17semidirect
950. #386C22×C17semidirect
951. #386C22×C17semidirect
952. #386C22×C17semidirect
963. #385C22×C17semidirect
964. #385C22×C17semidirect
965. #385C22×C17semidirect
966. #385C22×C17semidirect
967. #385C22×C17semidirect
968. #385C22×C17semidirect
969. #385C22×C17semidirect
970. #385C22×C17semidirect
971. #383C22×C17semidirect
972. #382C22×C17semidirect
973. #381C22×C17semidirect
977. #380C22×C17semidirect
978. #380C22×C17semidirect
979. #380C22×C17semidirect
980. #380C22×C17semidirect
981. #380C22×C17semidirect
1182. C17#36807direct (N × H)

Maximal subgroups

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

subgroupindex
C17×#28522
C17×#28512
C17×#27962
C17×#27862
C17×#27572
C17×#27402
C17×#27372
C17×#27232
C17×#27112
C17×#27072
C17×#27062
C17×#27052
C17×#26962
C17×#26942
C17×#26912
C17×#26812
C17×#26262
C17×#26222
C17×#24802
C17×#24732
C17×#24492
C17×#24372
C17×#24182
C17×#24122
C17×#24102
C17×#24052
C17×#23212
C17×#23152
C2×C17×#3902
#3680717