Finite Group Databasebeta

← C17×#36909 #16894653

Subgroups — C17×#36909 #16894653

Order 4352.

2132 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#2856C211yesmaximal, characteristic, complemented
2C17×#2853C211yesmaximal, characteristic, complemented
3C17×#2800C211yesmaximal, characteristic, complemented
4C17×#2795C211yesmaximal, characteristic, complemented
5C17×#2790C211yesmaximal, characteristic, complemented
6C17×#2714C211yesmaximal, characteristic, complemented
7C17×#2703C211yesmaximal, characteristic, complemented
8C17×#2701C211yesmaximal, characteristic, complemented
9C17×#2699C211yesmaximal, characteristic, complemented
10C17×#2691C211yesmaximal, characteristic, complemented
11C17×#2688C211yesmaximal, characteristic, complemented
12C17×#2678C211yesmaximal, characteristic, complemented
13C17×#2678C211yesmaximal, characteristic, complemented
14C17×#2675C211yesmaximal, characteristic, complemented
15C17×#2673C211yesmaximal, characteristic, complemented
16C17×#2673C211yesmaximal, characteristic, complemented
17C17×#2669C211yesmaximal, characteristic, complemented
18C17×#2669C211yesmaximal, characteristic, complemented
19C17×#2661C211yesmaximal, characteristic, complemented
20C17×#2648C211yesmaximal, characteristic, complemented
21C17×#2597C211yesmaximal, characteristic, complemented
22C17×#2554C211yesmaximal, characteristic, complemented
23C17×#2464C211yesmaximal, characteristic, complemented
24C17×#2456C211yesmaximal, characteristic, complemented
25C17×#2456C211yesmaximal, characteristic, complemented
26C17×#2428C211yesmaximal, characteristic, complemented
27C17×#2424C211yesmaximal, characteristic, complemented
28C17×#2424C211yesmaximal, characteristic, complemented
29C17×#2333C211yesmaximal, characteristic, complemented
30C17×#2321C211yesmaximal, characteristic, complemented
31C4×C17×#121C211yesmaximal, characteristic, complemented
32C2×C17×#127C2211yescharacteristic
33C2×C17×#127C2211yescharacteristic
34C2×C17×#126C2211yescharacteristic, complemented
35C2×C17×#123C2211yescharacteristic
36C2×C17×#123C2211yescharacteristic
37C2×C17×#123C2211yescharacteristic, complemented
38C2×C17×#123C2211yescharacteristic, complemented
39C2×C17×#121C2211yescharacteristic
40C2×C17×#121C2211yescharacteristic
41C2×C17×#121C2211yescharacteristic
42C2×C17×#121C2211yescharacteristic
43C2×C17×#121C2211yescharacteristic
44C2×C17×#121C2211yescharacteristic
45C2×C17×#121C2211yescharacteristic
46C2×C17×#121C2211yescharacteristic
47C2×C17×#121C2211yescharacteristic
48C2×C17×#121C2211yescharacteristic
49C2×C17×#121C2211yescharacteristic, complemented
50C2×C17×#121C2211yescharacteristic, complemented
51C2×C17×#121C2211yescharacteristic, complemented
52C2×C17×#121C2211yescharacteristic, complemented
53C2×C17×#121C2211yescharacteristic, complemented
54C2×C17×#120C2211yescharacteristic
55C2×C17×#120C2211yescharacteristic
56C2×C17×#120C2211yescharacteristic
57C2×C17×#120C2211yescharacteristic
58C2×C17×#120C2211yescharacteristic
59C2×C4×D4×C17C2211yescharacteristic
60C2×C4×D4×C17C2211yescharacteristic
61C2×C4×D4×C17C2211yescharacteristic
62C2×C4×D4×C17C2211yescharacteristic, complemented
63C22×C22⋊C4×C17C2211yescharacteristic
64C22×C42×C17C2211yescharacteristic, complemented
65C17×#400C2211yescharacteristic, complemented
66C17×#400C2211yescharacteristic, complemented
67C17×#398C2211yescharacteristic, complemented
68C17×#398C2211yescharacteristic, complemented
69C17×#398C2211yescharacteristic, complemented
70C17×#397C2211yescharacteristic
71C17×#397C2211yescharacteristic
72C17×#397C2211yescharacteristic, complemented
73C17×#397C2211yescharacteristic, complemented
74C17×#397C2211yescharacteristic, complemented
75C17×#396C2211yescharacteristic
76C17×#396C2211yescharacteristic
77C17×#396C2211yescharacteristic
78C17×#396C2211yescharacteristic
79C17×#396C2211yescharacteristic, complemented
80C17×#396C2211yescharacteristic, complemented
81C17×#394C2211yescharacteristic
82C17×#394C2211yescharacteristic
83C17×#394C2211yescharacteristic
84C17×#394C2211yescharacteristic
85C17×#394C2211yescharacteristic
86C17×#394C2211yescharacteristic
87C17×#394C2211yescharacteristic
88C17×#394C2211yescharacteristic
89C17×#394C2211yescharacteristic
90C17×#394C2211yescharacteristic
91C17×#394C2211yescharacteristic
92C17×#394C2211yescharacteristic
93C17×#394C2211yescharacteristic, complemented
94C17×#394C2211yescharacteristic, complemented
95C17×#394C2211yescharacteristic, complemented
96C17×#392C2211yescharacteristic
97C17×#392C2211yescharacteristic
98C17×#392C2211yescharacteristic
99C17×#392C2211yescharacteristic
100C17×#392C2211yescharacteristic
101C17×#392C2211yescharacteristic
102C17×#392C2211yescharacteristic
103C17×#392C2211yescharacteristic
104C17×#392C2211yescharacteristic
105C17×#392C2211yescharacteristic
106C17×#392C2211yescharacteristic
107C17×#392C2211yescharacteristic
108C17×#392C2211yescharacteristic
109C17×#392C2211yescharacteristic
110C17×#392C2211yescharacteristic, complemented
111C17×#392C2211yescharacteristic, complemented
112C17×#392C2211yescharacteristic, complemented
113C17×#390C2211yescharacteristic
114C17×#390C2211yescharacteristic
115C17×#390C2211yescharacteristic
116C17×#390C2211yescharacteristic
117C17×#390C2211yescharacteristic
118C17×#390C2211yescharacteristic
119C17×#390C2211yescharacteristic
120C17×#390C2211yescharacteristic
121C17×#390C2211yescharacteristic, complemented
122C17×#390C2211yescharacteristic, complemented
123C17×#390C2211yescharacteristic, complemented
124C17×#390C2211yescharacteristic, complemented
125C17×#389C2211yescharacteristic, complemented
126C17×#389C2211yescharacteristic, complemented
127C17×#388C2211yescharacteristic
128C17×#388C2211yescharacteristic
129C17×#388C2211yescharacteristic
130C17×#388C2211yescharacteristic
131C17×#388C2211yescharacteristic
132C17×#388C2211yescharacteristic
133C17×#388C2211yescharacteristic
134C17×#388C2211yescharacteristic
135C17×#388C2211yescharacteristic
136C17×#388C2211yescharacteristic
137C17×#388C2211yescharacteristic
138C17×#388C2211yescharacteristic
139C17×#388C2211yescharacteristic, complemented
140C17×#388C2211yescharacteristic, complemented
141C17×#388C2211yescharacteristic, complemented
142C17×#388C2211yescharacteristic, complemented
143C17×#388C2211yescharacteristic, complemented
144C17×#388C2211yescharacteristic, complemented
145C17×#388C2211yescharacteristic, complemented
146C17×#387C2211yescharacteristic, complemented
147C17×#387C2211yescharacteristic, complemented
148C17×#387C2211yescharacteristic, complemented
149C17×#387C2211yescharacteristic, complemented
150C17×#387C2211yescharacteristic, complemented
151C17×#387C2211yescharacteristic, complemented
152C17×#387C2211yescharacteristic, complemented
153C17×#386C2211yescharacteristic
154C17×#386C2211yescharacteristic
155C17×#386C2211yescharacteristic
156C17×#386C2211yescharacteristic
157C17×#386C2211yescharacteristic
158C17×#386C2211yescharacteristic
159C17×#386C2211yescharacteristic
160C17×#386C2211yescharacteristic
161C17×#386C2211yescharacteristic
162C17×#386C2211yescharacteristic
163C17×#386C2211yescharacteristic
164C17×#386C2211yescharacteristic, complemented
165C17×#386C2211yescharacteristic, complemented
166C17×#386C2211yescharacteristic, complemented
167C17×#386C2211yescharacteristic, complemented
168C17×#386C2211yescharacteristic, complemented
169C17×#386C2211yescharacteristic, complemented
170C17×#385C2211yescharacteristic
171C17×#385C2211yescharacteristic
172C17×#385C2211yescharacteristic
173C17×#385C2211yescharacteristic, complemented
174C17×#385C2211yescharacteristic, complemented
175C17×#385C2211yescharacteristic, complemented
176C17×#385C2211yescharacteristic, complemented
177C17×#384C2211yescharacteristic, complemented
178C17×#381C2211yescharacteristic, complemented
179C17×#381C2211yescharacteristic, complemented
180C17×#380C2211yescharacteristic, complemented
181C17×#379C2211yescharacteristic
182C4×C4⋊C4×C17C2211yescharacteristic, complemented
183C4×C22⋊C4×C17C2211yescharacteristic
184C4×C22⋊C4×C17C2211yescharacteristic, complemented
185C4×C22⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic, complemented
187C25×C17C2311yescharacteristic
188C22×D4×C17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
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
202C22×D4×C17C2311yescharacteristic
203C22×D4×C17C2311yescharacteristic
204C22×D4×C17C2311yescharacteristic
205C22×D4×C17C2311yescharacteristic
206C22×D4×C17C2311yescharacteristic
207C22×D4×C17C2311yescharacteristic
208C22×D4×C17C2311yescharacteristic
209C22×D4×C17C2311yescharacteristic
210C22×D4×C17C2311yescharacteristic
211C22×D4×C17C2311yescharacteristic
212C22×D4×C17C2311yescharacteristic
213C23×C4×C17C2311yescharacteristic
214C23×C4×C17C2311yescharacteristic
215C23×C4×C17C2311yescharacteristic
216C23×C4×C17C2311yescharacteristic
217C23×C4×C17C2311yescharacteristic
218C23×C4×C17C2311yescharacteristic
219C23×C4×C17C2311yescharacteristic
220C23×C4×C17C2311yescharacteristic
221C23×C4×C17C2311yescharacteristic
222C17×#127—42no—
223C17×#127—42no—
224C17×#126—42no—
225C17×#123—42no—
226C17×#123—42no—
227C17×#123—42no—
228C17×#123—42no—
229C17×#121—24no—
230C17×#121—24no—
231C17×#121—42no—
232C17×#121—42no—
233C17×#121—42no—
234C17×#121—42no—
235C17×#121—42no—
236C17×#121—42no—
237C17×#121—42no—
238C17×#121—42no—
239C17×#121—42no—
240C17×#121—42no—
241C17×#121—42no—
242C17×#121—42no—
243C17×#121—42no—
244C17×#120—24no—
245C17×#120—42no—
246C17×#120—42no—
247C17×#120—42no—
248C17×#120—42no—
249C4×D4×C17—42no—
250C4×D4×C17—42no—
251C4×D4×C17—42no—
252C4×D4×C17—42no—
253C2×C4⋊C4×C17C2311yescharacteristic
254C2×C4⋊C4×C17C2311yescharacteristic
255C2×C4⋊C4×C17C2311yescharacteristic
256C2×C4⋊C4×C17C2311yescharacteristic
257C2×C4⋊C4×C17C2311yescharacteristic
258C2×C4⋊C4×C17C2311yescharacteristic
259C2×C4⋊C4×C17C2311yescharacteristic
260C2×C4⋊C4×C17C2311yescharacteristic
261C2×C4⋊C4×C17C2311yescharacteristic
262C2×C4⋊C4×C17C2311yescharacteristic
263C2×C4⋊C4×C17C2311yescharacteristic
264C2×C4⋊C4×C17C2311yescharacteristic
265C2×C4⋊C4×C17C2311yescharacteristic
266C2×C4⋊C4×C17C2311yescharacteristic
267C2×C4⋊C4×C17C2311yescharacteristic
268C2×C4⋊C4×C17C2311yescharacteristic
269C2×C4⋊C4×C17C2311yescharacteristic
270C2×C4⋊C4×C17C2311yescharacteristic
271C2×C4⋊C4×C17C2311yescharacteristic
272C2×C4⋊C4×C17C2311yescharacteristic
273C2×C4⋊C4×C17C2311yescharacteristic
274C2×C4⋊C4×C17C2311yescharacteristic
275C2×C4⋊C4×C17C2311yescharacteristic
276C2×C22⋊C4×C17—42no—
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×C22⋊C4×C17C2311yescharacteristic
326C2×C22⋊C4×C17C2311yescharacteristic
327C2×C22⋊C4×C17C2311yescharacteristic
328C2×C22⋊C4×C17C2311yescharacteristic
329C2×C22⋊C4×C17C2311yescharacteristic
330C2×C22⋊C4×C17C2311yescharacteristic
331C2×C22⋊C4×C17C2311yescharacteristic
332C2×C22⋊C4×C17C2311yescharacteristic
333C2×C22⋊C4×C17C2311yescharacteristic
334C2×C22⋊C4×C17C2311yescharacteristic
335C2×C42×C17—42no—
336C2×C42×C17C2311yescharacteristic
337C2×C42×C17C2311yescharacteristic
338C2×C42×C17C2311yescharacteristic
339C2×C42×C17C2311yescharacteristic
340C2×C42×C17C2311yescharacteristic
341C2×C42×C17C2311yescharacteristic
342C2×C42×C17C2311yescharacteristic
343C2×C42×C17C2311yescharacteristic
344C2×C42×C17C2311yescharacteristic
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
375C24×C17—22no—
376C24×C17—41no—
377C24×C17—41no—
378C24×C17—41no—
379C24×C17—41no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17C2411yescharacteristic
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C24×C17C2411yescharacteristic
388C24×C17C2411yescharacteristic
389C24×C17C2411yescharacteristic
390C2×D4×C17—22no—
391C2×D4×C17—22no—
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—22no—
406C2×D4×C17—22no—
407C2×D4×C17—22no—
408C2×D4×C17—22no—
409C2×D4×C17—22no—
410C2×D4×C17—22no—
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—
420C2×D4×C17—41no—
421C2×D4×C17—41no—
422C2×D4×C17—41no—
423C2×D4×C17—41no—
424C2×D4×C17—41no—
425C2×D4×C17—41no—
426C2×D4×C17—41no—
427C2×D4×C17—41no—
428C2×D4×C17—41no—
429C2×D4×C17—41no—
430C2×D4×C17—41no—
431C2×D4×C17—41no—
432C2×D4×C17—41no—
433C2×D4×C17—41no—
434C2×D4×C17—41no—
435C2×D4×C17—41no—
436C2×D4×C17—41no—
437C2×D4×C17—41no—
438C2×D4×C17—41no—
439C2×D4×C17—41no—
440C2×D4×C17—41no—
441C2×D4×C17—41no—
442C2×D4×C17—41no—
443C2×D4×C17—41no—
444C2×D4×C17—41no—
445C2×D4×C17—41no—
446C2×D4×C17—41no—
447C2×D4×C17—41no—
448C2×D4×C17—41no—
449C2×D4×C17—41no—
450C2×D4×C17—41no—
451C2×D4×C17—41no—
452C2×D4×C17—41no—
453C2×D4×C17—41no—
454C2×D4×C17—41no—
455C2×D4×C17—41no—
456C2×D4×C17—41no—
457C2×D4×C17—41no—
458C2×D4×C17—41no—
459C2×D4×C17—41no—
460C2×D4×C17—41no—
461C2×D4×C17—41no—
462C2×D4×C17—41no—
463C2×D4×C17—41no—
464C2×D4×C17—41no—
465C22×C4×C17—22no—
466C22×C4×C17—22no—
467C22×C4×C17—22no—
468C22×C4×C17—22no—
469C22×C4×C17—22no—
470C22×C4×C17—22no—
471C22×C4×C17—22no—
472C22×C4×C17—22no—
473C22×C4×C17—22no—
474C22×C4×C17—41no—
475C22×C4×C17—41no—
476C22×C4×C17—41no—
477C22×C4×C17—41no—
478C22×C4×C17—41no—
479C22×C4×C17—41no—
480C22×C4×C17—41no—
481C22×C4×C17—41no—
482C22×C4×C17—41no—
483C22×C4×C17—41no—
484C22×C4×C17—41no—
485C22×C4×C17—41no—
486C22×C4×C17—41no—
487C22×C4×C17—41no—
488C22×C4×C17—41no—
489C22×C4×C17—41no—
490C22×C4×C17—41no—
491C22×C4×C17—41no—
492C22×C4×C17C2411yescharacteristic
493C22×C4×C17C2411yescharacteristic
494C22×C4×C17C2411yescharacteristic
495C22×C4×C17C2411yescharacteristic
496C22×C4×C17C2411yescharacteristic
497C22×C4×C17C2411yescharacteristic
498C22×C4×C17C2411yescharacteristic
499C22×C4×C17C2411yescharacteristic
500C22×C4×C17C2411yescharacteristic
501C22×C4×C17C2411yescharacteristic
502C22×C4×C17C2411yescharacteristic
503C22×C4×C17C2411yescharacteristic
504C22×C4×C17C2411yescharacteristic
505C22×C4×C17C2411yescharacteristic
506C22×C4×C17C2411yescharacteristic
507C22×C4×C17C2411yescharacteristic
508C22×C4×C17C2411yescharacteristic
509C22×C4×C17C2411yescharacteristic
510C22×C4×C17C2411yescharacteristic
511C22×C4×C17C2411yescharacteristic
512C22×C4×C17C2411yescharacteristic
513C22×C4×C17C2411yescharacteristic
514C22×C4×C17C2411yescharacteristic
515C4⋊C4×C17—22no—
516C4⋊C4×C17—22no—
517C4⋊C4×C17—22no—
518C4⋊C4×C17—22no—
519C4⋊C4×C17—22no—
520C4⋊C4×C17—22no—
521C4⋊C4×C17—22no—
522C4⋊C4×C17—22no—
523C4⋊C4×C17—22no—
524C4⋊C4×C17—41no—
525C4⋊C4×C17—41no—
526C4⋊C4×C17—41no—
527C4⋊C4×C17—41no—
528C4⋊C4×C17—41no—
529C4⋊C4×C17—41no—
530C4⋊C4×C17—41no—
531C4⋊C4×C17—41no—
532C4⋊C4×C17—41no—
533C4⋊C4×C17—41no—
534C4⋊C4×C17—41no—
535C4⋊C4×C17—41no—
536C4⋊C4×C17—41no—
537C4⋊C4×C17—41no—
538C22⋊C4×C17—22no—
539C22⋊C4×C17—22no—
540C22⋊C4×C17—22no—
541C22⋊C4×C17—22no—
542C22⋊C4×C17—22no—
543C22⋊C4×C17—22no—
544C22⋊C4×C17—22no—
545C22⋊C4×C17—22no—
546C22⋊C4×C17—22no—
547C22⋊C4×C17—22no—
548C22⋊C4×C17—22no—
549C22⋊C4×C17—22no—
550C22⋊C4×C17—22no—
551C22⋊C4×C17—22no—
552C22⋊C4×C17—22no—
553C22⋊C4×C17—22no—
554C22⋊C4×C17—22no—
555C22⋊C4×C17—22no—
556C22⋊C4×C17—22no—
557C22⋊C4×C17—22no—
558C22⋊C4×C17—22no—
559C22⋊C4×C17—41no—
560C22⋊C4×C17—41no—
561C22⋊C4×C17—41no—
562C22⋊C4×C17—41no—
563C22⋊C4×C17—41no—
564C22⋊C4×C17—41no—
565C22⋊C4×C17—41no—
566C22⋊C4×C17—41no—
567C22⋊C4×C17—41no—
568C22⋊C4×C17—41no—
569C22⋊C4×C17—41no—
570C22⋊C4×C17—41no—
571C22⋊C4×C17—41no—
572C22⋊C4×C17—41no—
573C22⋊C4×C17—41no—
574C22⋊C4×C17—41no—
575C22⋊C4×C17—41no—
576C22⋊C4×C17—41no—
577C22⋊C4×C17—41no—
578C22⋊C4×C17—41no—
579C22⋊C4×C17—41no—
580C22⋊C4×C17—41no—
581C22⋊C4×C17—41no—
582C22⋊C4×C17—41no—
583C22⋊C4×C17—41no—
584C22⋊C4×C17—41no—
585C22⋊C4×C17—41no—
586C22⋊C4×C17—41no—
587C22⋊C4×C17—41no—
588C22⋊C4×C17—41no—
589C22⋊C4×C17—41no—
590C22⋊C4×C17—41no—
591C22⋊C4×C17—41no—
592C22⋊C4×C17—41no—
593C22⋊C4×C17—41no—
594C22⋊C4×C17—41no—
595C22⋊C4×C17#4114yes—
596C42×C17—22no—
597C42×C17—22no—
598C42×C17—41no—
599C42×C17—41no—
600C42×C17—41no—
601C42×C17—41no—
602C42×C17—41no—
603C42×C17—41no—
604C42×C17—41no—
605#36909C1711yesmaximal, characteristic, direct product factor, Sylow
606C23×C17—21no—
607C23×C17—21no—
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17—21no—
642C23×C17—21no—
643C23×C17—21no—
644C23×C17—21no—
645C23×C17—21no—
646C23×C17—21no—
647C23×C17—21no—
648C23×C17—21no—
649C23×C17—21no—
650C23×C17—21no—
651C23×C17—21no—
652C23×C17—21no—
653C23×C17—21no—
654C23×C17—21no—
655C23×C17—21no—
656C23×C17—21no—
657C23×C17—21no—
658C23×C17—21no—
659C23×C17—21no—
660C23×C17—44no—
661C23×C17—82no—
662C23×C17—82no—
663C23×C17—82no—
664C23×C17—82no—
665C23×C17—82no—
666C23×C17—82no—
667C23×C17C2×#4112yes—
668C23×C17H(5,𝔽2)12yes—
669C23×C17C2511yescharacteristic
670D4×C17—44no—
671D4×C17—44no—
672D4×C17—44no—
673D4×C17—44no—
674D4×C17—82no—
675D4×C17—82no—
676D4×C17—82no—
677D4×C17—82no—
678D4×C17—82no—
679D4×C17—82no—
680D4×C17—82no—
681D4×C17—82no—
682D4×C17—82no—
683D4×C17—82no—
684D4×C17—82no—
685D4×C17—82no—
686D4×C17—82no—
687D4×C17—82no—
688D4×C17—82no—
689D4×C17—82no—
690D4×C17—82no—
691D4×C17—82no—
692D4×C17—82no—
693D4×C17—82no—
694D4×C17—82no—
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—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—21no—
721C2×C4×C17—21no—
722C2×C4×C17—21no—
723C2×C4×C17—21no—
724C2×C4×C17—21no—
725C2×C4×C17—21no—
726C2×C4×C17—21no—
727C2×C4×C17—21no—
728C2×C4×C17—21no—
729C2×C4×C17—21no—
730C2×C4×C17—21no—
731C2×C4×C17—21no—
732C2×C4×C17—21no—
733C2×C4×C17—21no—
734C2×C4×C17—21no—
735C2×C4×C17—21no—
736C2×C4×C17—21no—
737C2×C4×C17—21no—
738C2×C4×C17—21no—
739C2×C4×C17—21no—
740C2×C4×C17—21no—
741C2×C4×C17—21no—
742C2×C4×C17—21no—
743C2×C4×C17—21no—
744C2×C4×C17—21no—
745C2×C4×C17—21no—
746C2×C4×C17—21no—
747C2×C4×C17—21no—
748C2×C4×C17—21no—
749C2×C4×C17—21no—
750C2×C4×C17—21no—
751C2×C4×C17—21no—
752C2×C4×C17—21no—
753C2×C4×C17—21no—
754C2×C4×C17—21no—
755C2×C4×C17—21no—
756C2×C4×C17—21no—
757C2×C4×C17—21no—
758C2×C4×C17—44no—
759C2×C4×C17—44no—
760C2×C4×C17—44no—
761C2×C4×C17—82no—
762C2×C4×C17—82no—
763C2×C4×C17—82no—
764C2×C4×C17—82no—
765C2×C4×C17—82no—
766C2×C4×C17—82no—
767C2×C4×C17C2×#4112yes—
768C2×C4×C17C2×#4112yes—
769C2×C4×C17H(5,𝔽2)12yes—
770C2×C4×C17H(5,𝔽2)12yes—
771C2×C4×C17H(5,𝔽2)12yes—
772C2×C4×C17H(5,𝔽2)12yes—
773#2856C2×C1711yescharacteristic, complemented
774#2853C2×C1711yescharacteristic, complemented
775#2800C2×C1711yescharacteristic, complemented
776#2795C2×C1711yescharacteristic, complemented
777#2790C2×C1711yescharacteristic, complemented
778#2714C2×C1711yescharacteristic, complemented
779#2703C2×C1711yescharacteristic, complemented
780#2701C2×C1711yescharacteristic, complemented
781#2699C2×C1711yescharacteristic, complemented
782#2691C2×C1711yescharacteristic, complemented
783#2688C2×C1711yescharacteristic, complemented
784#2678C2×C1711yescharacteristic, complemented
785#2678C2×C1711yescharacteristic, complemented
786#2675C2×C1711yescharacteristic, complemented
787#2673C2×C1711yescharacteristic, complemented
788#2673C2×C1711yescharacteristic, complemented
789#2669C2×C1711yescharacteristic, complemented
790#2669C2×C1711yescharacteristic, complemented
791#2661C2×C1711yescharacteristic, complemented
792#2648C2×C1711yescharacteristic, complemented
793#2597C2×C1711yescharacteristic, complemented
794#2554C2×C1711yescharacteristic, complemented
795#2464C2×C1711yescharacteristic, complemented
796#2456C2×C1711yescharacteristic, complemented
797#2456C2×C1711yescharacteristic, complemented
798#2428C2×C1711yescharacteristic, complemented
799#2424C2×C1711yescharacteristic, complemented
800#2424C2×C1711yescharacteristic, complemented
801#2333C2×C1711yescharacteristic, complemented
802#2321C2×C1711yescharacteristic, complemented
803C4×#121C2×C1711yescharacteristic, complemented
804C22×C17—22no—
805C22×C17—22no—
806C22×C17—22no—
807C22×C17—22no—
808C22×C17—22no—
809C22×C17—22no—
810C22×C17—41no—
811C22×C17—41no—
812C22×C17—41no—
813C22×C17—41no—
814C22×C17—41no—
815C22×C17—41no—
816C22×C17—41no—
817C22×C17—41no—
818C22×C17—41no—
819C22×C17—41no—
820C22×C17—41no—
821C22×C17—41no—
822C22×C17—41no—
823C22×C17—41no—
824C22×C17—41no—
825C22×C17—41no—
826C22×C17—41no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17—41no—
840C22×C17—41no—
841C22×C17—41no—
842C22×C17—41no—
843C22×C17—41no—
844C22×C17—41no—
845C22×C17—41no—
846C22×C17—41no—
847C22×C17—41no—
848C22×C17—41no—
849C22×C17—41no—
850C22×C17—41no—
851C22×C17—41no—
852C22×C17—41no—
853C22×C17—41no—
854C22×C17—41no—
855C22×C17—41no—
856C22×C17—41no—
857C22×C17—41no—
858C22×C17—41no—
859C22×C17—41no—
860C22×C17—88no—
861C22×C17C22×#4111yescharacteristic
862C22×C17C2×H(5,𝔽2)11yescharacteristic
863C22×C17C2×H(5,𝔽2)11yescharacteristic
864C22×C17C2×H(5,𝔽2)11yescharacteristic
865C22×C17C2×H(5,𝔽2)11yescharacteristic
866C22×C17C2×H(5,𝔽2)11yescharacteristic
867C22×C17#58511yescharacteristic
868C4×C17—22no—
869C4×C17—22no—
870C4×C17—22no—
871C4×C17—22no—
872C4×C17—22no—
873C4×C17—22no—
874C4×C17—41no—
875C4×C17—41no—
876C4×C17—41no—
877C4×C17—41no—
878C4×C17—41no—
879C4×C17—41no—
880C4×C17—41no—
881C4×C17—41no—
882C4×C17—41no—
883C4×C17—41no—
884C4×C17—41no—
885C4×C17—41no—
886C4×C17—41no—
887C4×C17—41no—
888C4×C17—41no—
889C4×C17—41no—
890C4×C17—41no—
891C2×#127C22×C1711yescharacteristic
892C2×#127C22×C1711yescharacteristic
893C2×#126C22×C1711yescharacteristic, complemented
894C2×#123C22×C1711yescharacteristic
895C2×#123C22×C1711yescharacteristic
896C2×#123C22×C1711yescharacteristic, complemented
897C2×#123C22×C1711yescharacteristic, complemented
898C2×#121C22×C1711yescharacteristic
899C2×#121C22×C1711yescharacteristic
900C2×#121C22×C1711yescharacteristic
901C2×#121C22×C1711yescharacteristic
902C2×#121C22×C1711yescharacteristic
903C2×#121C22×C1711yescharacteristic
904C2×#121C22×C1711yescharacteristic
905C2×#121C22×C1711yescharacteristic
906C2×#121C22×C1711yescharacteristic
907C2×#121C22×C1711yescharacteristic
908C2×#121C22×C1711yescharacteristic, complemented
909C2×#121C22×C1711yescharacteristic, complemented
910C2×#121C22×C1711yescharacteristic, complemented
911C2×#121C22×C1711yescharacteristic, complemented
912C2×#121C22×C1711yescharacteristic, complemented
913C2×#120C22×C1711yescharacteristic
914C2×#120C22×C1711yescharacteristic
915C2×#120C22×C1711yescharacteristic
916C2×#120C22×C1711yescharacteristic
917C2×#120C22×C1711yescharacteristic
918C2×C4×D4C22×C1711yescharacteristic
919C2×C4×D4C22×C1711yescharacteristic
920C2×C4×D4C22×C1711yescharacteristic
921C2×C4×D4C22×C1711yescharacteristic, complemented
922C22×C22⋊C4C22×C1711yescharacteristic
923C22×C42C22×C1711yescharacteristic, complemented
924#400C22×C1711yescharacteristic, complemented
925#400C22×C1711yescharacteristic, complemented
926#398C22×C1711yescharacteristic, complemented
927#398C22×C1711yescharacteristic, complemented
928#398C22×C1711yescharacteristic, complemented
929#397C22×C1711yescharacteristic
930#397C22×C1711yescharacteristic
931#397C22×C1711yescharacteristic, complemented
932#397C22×C1711yescharacteristic, complemented
933#397C22×C1711yescharacteristic, complemented
934#396C22×C1711yescharacteristic
935#396C22×C1711yescharacteristic
936#396C22×C1711yescharacteristic
937#396C22×C1711yescharacteristic
938#396C22×C1711yescharacteristic, complemented
939#396C22×C1711yescharacteristic, complemented
940#394C22×C1711yescharacteristic
941#394C22×C1711yescharacteristic
942#394C22×C1711yescharacteristic
943#394C22×C1711yescharacteristic
944#394C22×C1711yescharacteristic
945#394C22×C1711yescharacteristic
946#394C22×C1711yescharacteristic
947#394C22×C1711yescharacteristic
948#394C22×C1711yescharacteristic
949#394C22×C1711yescharacteristic
950#394C22×C1711yescharacteristic
951#394C22×C1711yescharacteristic
952#394C22×C1711yescharacteristic, complemented
953#394C22×C1711yescharacteristic, complemented
954#394C22×C1711yescharacteristic, complemented
955#392C22×C1711yescharacteristic
956#392C22×C1711yescharacteristic
957#392C22×C1711yescharacteristic
958#392C22×C1711yescharacteristic
959#392C22×C1711yescharacteristic
960#392C22×C1711yescharacteristic
961#392C22×C1711yescharacteristic
962#392C22×C1711yescharacteristic
963#392C22×C1711yescharacteristic
964#392C22×C1711yescharacteristic
965#392C22×C1711yescharacteristic
966#392C22×C1711yescharacteristic
967#392C22×C1711yescharacteristic
968#392C22×C1711yescharacteristic
969#392C22×C1711yescharacteristic, complemented
970#392C22×C1711yescharacteristic, complemented
971#392C22×C1711yescharacteristic, complemented
972#390C22×C1711yescharacteristic
973#390C22×C1711yescharacteristic
974#390C22×C1711yescharacteristic
975#390C22×C1711yescharacteristic
976#390C22×C1711yescharacteristic
977#390C22×C1711yescharacteristic
978#390C22×C1711yescharacteristic
979#390C22×C1711yescharacteristic
980#390C22×C1711yescharacteristic, complemented
981#390C22×C1711yescharacteristic, complemented
982#390C22×C1711yescharacteristic, complemented
983#390C22×C1711yescharacteristic, complemented
984#389C22×C1711yescharacteristic, complemented
985#389C22×C1711yescharacteristic, complemented
986#388C22×C1711yescharacteristic
987#388C22×C1711yescharacteristic
988#388C22×C1711yescharacteristic
989#388C22×C1711yescharacteristic
990#388C22×C1711yescharacteristic
991#388C22×C1711yescharacteristic
992#388C22×C1711yescharacteristic
993#388C22×C1711yescharacteristic
994#388C22×C1711yescharacteristic
995#388C22×C1711yescharacteristic
996#388C22×C1711yescharacteristic
997#388C22×C1711yescharacteristic
998#388C22×C1711yescharacteristic, complemented
999#388C22×C1711yescharacteristic, complemented
1000#388C22×C1711yescharacteristic, complemented
1001#388C22×C1711yescharacteristic, complemented
1002#388C22×C1711yescharacteristic, complemented
1003#388C22×C1711yescharacteristic, complemented
1004#388C22×C1711yescharacteristic, complemented
1005#387C22×C1711yescharacteristic, complemented
1006#387C22×C1711yescharacteristic, complemented
1007#387C22×C1711yescharacteristic, complemented
1008#387C22×C1711yescharacteristic, complemented
1009#387C22×C1711yescharacteristic, complemented
1010#387C22×C1711yescharacteristic, complemented
1011#387C22×C1711yescharacteristic, complemented
1012#386C22×C1711yescharacteristic
1013#386C22×C1711yescharacteristic
1014#386C22×C1711yescharacteristic
1015#386C22×C1711yescharacteristic
1016#386C22×C1711yescharacteristic
1017#386C22×C1711yescharacteristic
1018#386C22×C1711yescharacteristic
1019#386C22×C1711yescharacteristic
1020#386C22×C1711yescharacteristic
1021#386C22×C1711yescharacteristic
1022#386C22×C1711yescharacteristic
1023#386C22×C1711yescharacteristic, complemented
1024#386C22×C1711yescharacteristic, complemented
1025#386C22×C1711yescharacteristic, complemented
1026#386C22×C1711yescharacteristic, complemented
1027#386C22×C1711yescharacteristic, complemented
1028#386C22×C1711yescharacteristic, complemented
1029#385C22×C1711yescharacteristic
1030#385C22×C1711yescharacteristic
1031#385C22×C1711yescharacteristic
1032#385C22×C1711yescharacteristic, complemented
1033#385C22×C1711yescharacteristic, complemented
1034#385C22×C1711yescharacteristic, complemented
1035#385C22×C1711yescharacteristic, complemented
1036#384C22×C1711yescharacteristic, complemented
1037#381C22×C1711yescharacteristic, complemented
1038#381C22×C1711yescharacteristic, complemented
1039#380C22×C1711yescharacteristic, complemented
1040#379C22×C1711yescharacteristic
1041C4×C4⋊C4C22×C1711yescharacteristic, complemented
1042C4×C22⋊C4C22×C1711yescharacteristic
1043C4×C22⋊C4C22×C1711yescharacteristic, complemented
1044C4×C22⋊C4C22×C1711yescharacteristic, complemented
1045C4×C22⋊C4C22×C1711yescharacteristic, complemented
1046C2×C17—42no—
1047C2×C17—42no—
1048C2×C17—81no—
1049C2×C17—81no—
1050C2×C17—81no—
1051C2×C17—81no—
1052C2×C17—81no—
1053C2×C17—81no—
1054C2×C17#346011yescharacteristic
1055C2×C17#351911yescharacteristic
1056C2×C17#351911yescharacteristic
1057C2×C17#353411yescharacteristic
1058C2×C17#353711yescharacteristic
1059C2×C17#354311yescharacteristic
1060C2×C17#354611yescharacteristic
1061C25C23×C1711yescharacteristic
1062C22×D4C23×C1711yescharacteristic
1063C22×D4C23×C1711yescharacteristic
1064C22×D4C23×C1711yescharacteristic
1065C22×D4C23×C1711yescharacteristic
1066C22×D4C23×C1711yescharacteristic
1067C22×D4C23×C1711yescharacteristic
1068C22×D4C23×C1711yescharacteristic
1069C22×D4C23×C1711yescharacteristic
1070C22×D4C23×C1711yescharacteristic
1071C22×D4C23×C1711yescharacteristic
1072C22×D4C23×C1711yescharacteristic
1073C22×D4C23×C1711yescharacteristic
1074C22×D4C23×C1711yescharacteristic
1075C22×D4C23×C1711yescharacteristic
1076C22×D4C23×C1711yescharacteristic
1077C22×D4C23×C1711yescharacteristic
1078C22×D4C23×C1711yescharacteristic
1079C22×D4C23×C1711yescharacteristic
1080C22×D4C23×C1711yescharacteristic
1081C22×D4C23×C1711yescharacteristic
1082C22×D4C23×C1711yescharacteristic
1083C22×D4C23×C1711yescharacteristic
1084C22×D4C23×C1711yescharacteristic
1085C22×D4C23×C1711yescharacteristic
1086C22×D4C23×C1711yescharacteristic
1087C23×C4C23×C1711yescharacteristic
1088C23×C4C23×C1711yescharacteristic
1089C23×C4C23×C1711yescharacteristic
1090C23×C4C23×C1711yescharacteristic
1091C23×C4C23×C1711yescharacteristic
1092C23×C4C23×C1711yescharacteristic
1093C23×C4C23×C1711yescharacteristic
1094C23×C4C23×C1711yescharacteristic
1095C23×C4C23×C1711yescharacteristic
1096#127—42no—
1097#127—42no—
1098#126—42no—
1099#123—42no—
1100#123—42no—
1101#123—42no—
1102#123—42no—
1103#121—24no—
1104#121—24no—
1105#121—42no—
1106#121—42no—
1107#121—42no—
1108#121—42no—
1109#121—42no—
1110#121—42no—
1111#121—42no—
1112#121—42no—
1113#121—42no—
1114#121—42no—
1115#121—42no—
1116#121—42no—
1117#121—42no—
1118#120—24no—
1119#120—42no—
1120#120—42no—
1121#120—42no—
1122#120—42no—
1123C4×D4—42no—
1124C4×D4—42no—
1125C4×D4—42no—
1126C4×D4—42no—
1127C2×C4⋊C4C23×C1711yescharacteristic
1128C2×C4⋊C4C23×C1711yescharacteristic
1129C2×C4⋊C4C23×C1711yescharacteristic
1130C2×C4⋊C4C23×C1711yescharacteristic
1131C2×C4⋊C4C23×C1711yescharacteristic
1132C2×C4⋊C4C23×C1711yescharacteristic
1133C2×C4⋊C4C23×C1711yescharacteristic
1134C2×C4⋊C4C23×C1711yescharacteristic
1135C2×C4⋊C4C23×C1711yescharacteristic
1136C2×C4⋊C4C23×C1711yescharacteristic
1137C2×C4⋊C4C23×C1711yescharacteristic
1138C2×C4⋊C4C23×C1711yescharacteristic
1139C2×C4⋊C4C23×C1711yescharacteristic
1140C2×C4⋊C4C23×C1711yescharacteristic
1141C2×C4⋊C4C23×C1711yescharacteristic
1142C2×C4⋊C4C23×C1711yescharacteristic
1143C2×C4⋊C4C23×C1711yescharacteristic
1144C2×C4⋊C4C23×C1711yescharacteristic
1145C2×C4⋊C4C23×C1711yescharacteristic
1146C2×C4⋊C4C23×C1711yescharacteristic
1147C2×C4⋊C4C23×C1711yescharacteristic
1148C2×C4⋊C4C23×C1711yescharacteristic
1149C2×C4⋊C4C23×C1711yescharacteristic
1150C2×C22⋊C4—42no—
1151C2×C22⋊C4C23×C1711yescharacteristic
1152C2×C22⋊C4C23×C1711yescharacteristic
1153C2×C22⋊C4C23×C1711yescharacteristic
1154C2×C22⋊C4C23×C1711yescharacteristic
1155C2×C22⋊C4C23×C1711yescharacteristic
1156C2×C22⋊C4C23×C1711yescharacteristic
1157C2×C22⋊C4C23×C1711yescharacteristic
1158C2×C22⋊C4C23×C1711yescharacteristic
1159C2×C22⋊C4C23×C1711yescharacteristic
1160C2×C22⋊C4C23×C1711yescharacteristic
1161C2×C22⋊C4C23×C1711yescharacteristic
1162C2×C22⋊C4C23×C1711yescharacteristic
1163C2×C22⋊C4C23×C1711yescharacteristic
1164C2×C22⋊C4C23×C1711yescharacteristic
1165C2×C22⋊C4C23×C1711yescharacteristic
1166C2×C22⋊C4C23×C1711yescharacteristic
1167C2×C22⋊C4C23×C1711yescharacteristic
1168C2×C22⋊C4C23×C1711yescharacteristic
1169C2×C22⋊C4C23×C1711yescharacteristic
1170C2×C22⋊C4C23×C1711yescharacteristic
1171C2×C22⋊C4C23×C1711yescharacteristic
1172C2×C22⋊C4C23×C1711yescharacteristic
1173C2×C22⋊C4C23×C1711yescharacteristic
1174C2×C22⋊C4C23×C1711yescharacteristic
1175C2×C22⋊C4C23×C1711yescharacteristic
1176C2×C22⋊C4C23×C1711yescharacteristic
1177C2×C22⋊C4C23×C1711yescharacteristic
1178C2×C22⋊C4C23×C1711yescharacteristic
1179C2×C22⋊C4C23×C1711yescharacteristic
1180C2×C22⋊C4C23×C1711yescharacteristic
1181C2×C22⋊C4C23×C1711yescharacteristic
1182C2×C22⋊C4C23×C1711yescharacteristic
1183C2×C22⋊C4C23×C1711yescharacteristic
1184C2×C22⋊C4C23×C1711yescharacteristic
1185C2×C22⋊C4C23×C1711yescharacteristic
1186C2×C22⋊C4C23×C1711yescharacteristic
1187C2×C22⋊C4C23×C1711yescharacteristic
1188C2×C22⋊C4C23×C1711yescharacteristic
1189C2×C22⋊C4C23×C1711yescharacteristic
1190C2×C22⋊C4C23×C1711yescharacteristic
1191C2×C22⋊C4C23×C1711yescharacteristic
1192C2×C22⋊C4C23×C1711yescharacteristic
1193C2×C22⋊C4C23×C1711yescharacteristic
1194C2×C22⋊C4C23×C1711yescharacteristic
1195C2×C22⋊C4C23×C1711yescharacteristic
1196C2×C22⋊C4C23×C1711yescharacteristic
1197C2×C22⋊C4C23×C1711yescharacteristic
1198C2×C22⋊C4C23×C1711yescharacteristic
1199C2×C22⋊C4C23×C1711yescharacteristic
1200C2×C22⋊C4C23×C1711yescharacteristic
1201C2×C22⋊C4C23×C1711yescharacteristic
1202C2×C22⋊C4C23×C1711yescharacteristic
1203C2×C22⋊C4C23×C1711yescharacteristic
1204C2×C22⋊C4C23×C1711yescharacteristic
1205C2×C22⋊C4C23×C1711yescharacteristic
1206C2×C22⋊C4C23×C1711yescharacteristic
1207C2×C22⋊C4C23×C1711yescharacteristic
1208C2×C22⋊C4C23×C1711yescharacteristic
1209C2×C42—42no—
1210C2×C42C23×C1711yescharacteristic
1211C2×C42C23×C1711yescharacteristic
1212C2×C42C23×C1711yescharacteristic
1213C2×C42C23×C1711yescharacteristic
1214C2×C42C23×C1711yescharacteristic
1215C2×C42C23×C1711yescharacteristic
1216C2×C42C23×C1711yescharacteristic
1217C2×C42C23×C1711yescharacteristic
1218C2×C42C23×C1711yescharacteristic
1219#95C23×C1711yescharacteristic
1220#95C23×C1711yescharacteristic
1221#95C23×C1711yescharacteristic
1222#95C23×C1711yescharacteristic
1223#95C23×C1711yescharacteristic
1224#95C23×C1711yescharacteristic
1225#95C23×C1711yescharacteristic
1226#95C23×C1711yescharacteristic
1227#95C23×C1711yescharacteristic
1228#95C23×C1711yescharacteristic
1229#95C23×C1711yescharacteristic
1230#95C23×C1711yescharacteristic
1231#95C23×C1711yescharacteristic
1232#95C23×C1711yescharacteristic
1233#95C23×C1711yescharacteristic
1234#95C23×C1711yescharacteristic
1235#95C23×C1711yescharacteristic
1236#95C23×C1711yescharacteristic
1237#95C23×C1711yescharacteristic
1238#95C23×C1711yescharacteristic
1239#95C23×C1711yescharacteristic
1240#95C23×C1711yescharacteristic
1241#95C23×C1711yescharacteristic
1242#95C23×C1711yescharacteristic
1243#95C23×C1711yescharacteristic
1244#95C23×C1711yescharacteristic
1245#95C23×C1711yescharacteristic
1246#95C23×C1711yescharacteristic
1247#95C23×C1711yescharacteristic
1248#95C23×C1711yescharacteristic
1249C17#3690911yescharacteristic, direct product factor, Sylow
1250C24—22no—
1251C24—41no—
1252C24—41no—
1253C24—41no—
1254C24—41no—
1255C24—41no—
1256C24—41no—
1257C24C24×C1711yescharacteristic
1258C24C24×C1711yescharacteristic
1259C24C24×C1711yescharacteristic
1260C24C24×C1711yescharacteristic
1261C24C24×C1711yescharacteristic
1262C24C24×C1711yescharacteristic
1263C24C24×C1711yescharacteristic
1264C24C24×C1711yescharacteristic
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
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×C4C24×C1711yescharacteristic
1368C22×C4C24×C1711yescharacteristic
1369C22×C4C24×C1711yescharacteristic
1370C22×C4C24×C1711yescharacteristic
1371C22×C4C24×C1711yescharacteristic
1372C22×C4C24×C1711yescharacteristic
1373C22×C4C24×C1711yescharacteristic
1374C22×C4C24×C1711yescharacteristic
1375C22×C4C24×C1711yescharacteristic
1376C22×C4C24×C1711yescharacteristic
1377C22×C4C24×C1711yescharacteristic
1378C22×C4C24×C1711yescharacteristic
1379C22×C4C24×C1711yescharacteristic
1380C22×C4C24×C1711yescharacteristic
1381C22×C4C24×C1711yescharacteristic
1382C22×C4C24×C1711yescharacteristic
1383C22×C4C24×C1711yescharacteristic
1384C22×C4C24×C1711yescharacteristic
1385C22×C4C24×C1711yescharacteristic
1386C22×C4C24×C1711yescharacteristic
1387C22×C4C24×C1711yescharacteristic
1388C22×C4C24×C1711yescharacteristic
1389C22×C4C24×C1711yescharacteristic
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—41no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4#41×C1714yes—
1471C42—22no—
1472C42—22no—
1473C42—41no—
1474C42—41no—
1475C42—41no—
1476C42—41no—
1477C42—41no—
1478C42—41no—
1479C42—41no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—44no—
1535C23—82no—
1536C23—82no—
1537C23—82no—
1538C23—82no—
1539C23—82no—
1540C23—82no—
1541C23C2×#41×C1712yes—
1542C23C17×H(5,𝔽2)12yes—
1543C23C25×C1711yescharacteristic
1544D4—44no—
1545D4—44no—
1546D4—44no—
1547D4—44no—
1548D4—82no—
1549D4—82no—
1550D4—82no—
1551D4—82no—
1552D4—82no—
1553D4—82no—
1554D4—82no—
1555D4—82no—
1556D4—82no—
1557D4—82no—
1558D4—82no—
1559D4—82no—
1560D4—82no—
1561D4—82no—
1562D4—82no—
1563D4—82no—
1564D4—82no—
1565D4—82no—
1566D4—82no—
1567D4—82no—
1568D4—82no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—82no—
1636C2×C4—82no—
1637C2×C4—82no—
1638C2×C4—82no—
1639C2×C4—82no—
1640C2×C4—82no—
1641C2×C4C2×#41×C1712yes—
1642C2×C4C2×#41×C1712yes—
1643C2×C4C17×H(5,𝔽2)12yes—
1644C2×C4C17×H(5,𝔽2)12yes—
1645C2×C4C17×H(5,𝔽2)12yes—
1646C2×C4C17×H(5,𝔽2)12yes—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—88no—
1704C22C22×#41×C1711yescharacteristic
1705C22C2×C17×H(5,𝔽2)11yescharacteristic
1706C22C2×C17×H(5,𝔽2)11yescharacteristic
1707C22C2×C17×H(5,𝔽2)11yescharacteristic
1708C22C2×C17×H(5,𝔽2)11yescharacteristic
1709C22C2×C17×H(5,𝔽2)11yescharacteristic
1710C22C17×#58511yescharacteristic
1711C4—22no—
1712C4—22no—
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C2—42no—
1735C2—42no—
1736C2—81no—
1737C2—81no—
1738C2—81no—
1739C2—81no—
1740C2—81no—
1741C2—81no—
1742C2C17×#346011yescharacteristic
1743C2C17×#351911yescharacteristic
1744C2C17×#351911yescharacteristic
1745C2C17×#353411yescharacteristic
1746C2C17×#353711yescharacteristic
1747C2C17×#354311yescharacteristic
1748C2C17×#354611yescharacteristic
subgroupG/H
center, socleC23×C17C25
commutator, Frattini, cosocleC23C25×C17
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C17 ◁ G

Complements

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

NH ≅ G/Ntype
1. C17×#2856C2semidirect
2. C17×#2853C2semidirect
3. C17×#2800C2semidirect
4. C17×#2795C2semidirect
5. C17×#2790C2semidirect
6. C17×#2714C2semidirect
7. C17×#2703C2semidirect
8. C17×#2701C2semidirect
9. C17×#2699C2semidirect
10. C17×#2691C2semidirect
11. C17×#2688C2semidirect
12. C17×#2678C2semidirect
13. C17×#2678C2semidirect
14. C17×#2675C2semidirect
15. C17×#2673C2semidirect
16. C17×#2673C2semidirect
17. C17×#2669C2semidirect
18. C17×#2669C2semidirect
19. C17×#2661C2semidirect
20. C17×#2648C2semidirect
21. C17×#2597C2semidirect
22. C17×#2554C2semidirect
23. C17×#2464C2semidirect
24. C17×#2456C2semidirect
25. C17×#2456C2semidirect
26. C17×#2428C2semidirect
27. C17×#2424C2semidirect
28. C17×#2424C2semidirect
29. C17×#2333C2semidirect
30. C17×#2321C2semidirect
31. C4×C17×#121C2semidirect
34. C2×C17×#126C22semidirect
37. C2×C17×#123C22semidirect
38. C2×C17×#123C22semidirect
49. C2×C17×#121C22semidirect
50. C2×C17×#121C22semidirect
51. C2×C17×#121C22semidirect
52. C2×C17×#121C22semidirect
53. C2×C17×#121C22semidirect
62. C2×C4×D4×C17C22semidirect
64. C22×C42×C17C22semidirect
65. C17×#400C22semidirect
66. C17×#400C22semidirect
67. C17×#398C22semidirect
68. C17×#398C22semidirect
69. C17×#398C22semidirect
72. C17×#397C22semidirect
73. C17×#397C22semidirect
74. C17×#397C22semidirect
79. C17×#396C22semidirect
80. C17×#396C22semidirect
93. C17×#394C22semidirect
94. C17×#394C22semidirect
95. C17×#394C22semidirect
110. C17×#392C22semidirect
111. C17×#392C22semidirect
112. C17×#392C22semidirect
121. C17×#390C22semidirect
122. C17×#390C22semidirect
123. C17×#390C22semidirect
124. C17×#390C22semidirect
125. C17×#389C22semidirect
126. C17×#389C22semidirect
139. C17×#388C22semidirect
140. C17×#388C22semidirect
141. C17×#388C22semidirect
142. C17×#388C22semidirect
143. C17×#388C22semidirect
144. C17×#388C22semidirect
145. C17×#388C22semidirect
146. C17×#387C22semidirect
147. C17×#387C22semidirect
148. C17×#387C22semidirect
149. C17×#387C22semidirect
150. C17×#387C22semidirect
151. C17×#387C22semidirect
152. C17×#387C22semidirect
164. C17×#386C22semidirect
165. C17×#386C22semidirect
166. C17×#386C22semidirect
167. C17×#386C22semidirect
168. C17×#386C22semidirect
169. C17×#386C22semidirect
173. C17×#385C22semidirect
174. C17×#385C22semidirect
175. C17×#385C22semidirect
176. C17×#385C22semidirect
177. C17×#384C22semidirect
178. C17×#381C22semidirect
179. C17×#381C22semidirect
180. C17×#380C22semidirect
182. C4×C4⋊C4×C17C22semidirect
184. C4×C22⋊C4×C17C22semidirect
185. C4×C22⋊C4×C17C22semidirect
186. C4×C22⋊C4×C17C22semidirect
605. #36909C17direct (N × H)
773. #2856C2×C17semidirect
774. #2853C2×C17semidirect
775. #2800C2×C17semidirect
776. #2795C2×C17semidirect
777. #2790C2×C17semidirect
778. #2714C2×C17semidirect
779. #2703C2×C17semidirect
780. #2701C2×C17semidirect
781. #2699C2×C17semidirect
782. #2691C2×C17semidirect
783. #2688C2×C17semidirect
784. #2678C2×C17semidirect
785. #2678C2×C17semidirect
786. #2675C2×C17semidirect
787. #2673C2×C17semidirect
788. #2673C2×C17semidirect
789. #2669C2×C17semidirect
790. #2669C2×C17semidirect
791. #2661C2×C17semidirect
792. #2648C2×C17semidirect
793. #2597C2×C17semidirect
794. #2554C2×C17semidirect
795. #2464C2×C17semidirect
796. #2456C2×C17semidirect
797. #2456C2×C17semidirect
798. #2428C2×C17semidirect
799. #2424C2×C17semidirect
800. #2424C2×C17semidirect
801. #2333C2×C17semidirect
802. #2321C2×C17semidirect
803. C4×#121C2×C17semidirect
893. C2×#126C22×C17semidirect
896. C2×#123C22×C17semidirect
897. C2×#123C22×C17semidirect
908. C2×#121C22×C17semidirect
909. C2×#121C22×C17semidirect
910. C2×#121C22×C17semidirect
911. C2×#121C22×C17semidirect
912. C2×#121C22×C17semidirect
921. C2×C4×D4C22×C17semidirect
923. C22×C42C22×C17semidirect
924. #400C22×C17semidirect
925. #400C22×C17semidirect
926. #398C22×C17semidirect
927. #398C22×C17semidirect
928. #398C22×C17semidirect
931. #397C22×C17semidirect
932. #397C22×C17semidirect
933. #397C22×C17semidirect
938. #396C22×C17semidirect
939. #396C22×C17semidirect
952. #394C22×C17semidirect
953. #394C22×C17semidirect
954. #394C22×C17semidirect
969. #392C22×C17semidirect
970. #392C22×C17semidirect
971. #392C22×C17semidirect
980. #390C22×C17semidirect
981. #390C22×C17semidirect
982. #390C22×C17semidirect
983. #390C22×C17semidirect
984. #389C22×C17semidirect
985. #389C22×C17semidirect
998. #388C22×C17semidirect
999. #388C22×C17semidirect
1000. #388C22×C17semidirect
1001. #388C22×C17semidirect
1002. #388C22×C17semidirect
1003. #388C22×C17semidirect
1004. #388C22×C17semidirect
1005. #387C22×C17semidirect
1006. #387C22×C17semidirect
1007. #387C22×C17semidirect
1008. #387C22×C17semidirect
1009. #387C22×C17semidirect
1010. #387C22×C17semidirect
1011. #387C22×C17semidirect
1023. #386C22×C17semidirect
1024. #386C22×C17semidirect
1025. #386C22×C17semidirect
1026. #386C22×C17semidirect
1027. #386C22×C17semidirect
1028. #386C22×C17semidirect
1032. #385C22×C17semidirect
1033. #385C22×C17semidirect
1034. #385C22×C17semidirect
1035. #385C22×C17semidirect
1036. #384C22×C17semidirect
1037. #381C22×C17semidirect
1038. #381C22×C17semidirect
1039. #380C22×C17semidirect
1041. C4×C4⋊C4C22×C17semidirect
1043. C4×C22⋊C4C22×C17semidirect
1044. C4×C22⋊C4C22×C17semidirect
1045. C4×C22⋊C4C22×C17semidirect
1249. C17#36909direct (N × H)

Maximal subgroups

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

subgroupindex
C17×#28562
C17×#28532
C17×#28002
C17×#27952
C17×#27902
C17×#27142
C17×#27032
C17×#27012
C17×#26992
C17×#26912
C17×#26882
C17×#26782
C17×#26752
C17×#26732
C17×#26692
C17×#26612
C17×#26482
C17×#25972
C17×#25542
C17×#24642
C17×#24562
C17×#24282
C17×#24242
C17×#23332
C17×#23212
C4×C17×#1212
#3690917