Finite Group Databasebeta

← C17×#36865 #16894609

Subgroups — C17×#36865 #16894609

Order 4352.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#2854C211yesmaximal, characteristic, complemented
2C17×#2850C211yesmaximal, characteristic, complemented
3C17×#2806C211yesmaximal, characteristic, complemented
4C17×#2780C211yesmaximal, characteristic, complemented
5C17×#2768C211yesmaximal, characteristic, complemented
6C17×#2763C211yesmaximal, characteristic, complemented
7C17×#2751C211yesmaximal, characteristic, complemented
8C17×#2717C211yesmaximal, characteristic, complemented
9C17×#2714C211yesmaximal, characteristic, complemented
10C17×#2712C211yesmaximal, characteristic, complemented
11C17×#2710C211yesmaximal, characteristic, complemented
12C17×#2710C211yesmaximal, characteristic, complemented
13C17×#2708C211yesmaximal, characteristic, complemented
14C17×#2706C211yesmaximal, characteristic, complemented
15C17×#2702C211yesmaximal, characteristic, complemented
16C17×#2701C211yesmaximal, characteristic, complemented
17C17×#2676C211yesmaximal, characteristic, complemented
18C17×#2671C211yesmaximal, characteristic, complemented
19C17×#2662C211yesmaximal, characteristic, complemented
20C17×#2654C211yesmaximal, characteristic, complemented
21C17×#2560C211yesmaximal, characteristic, complemented
22C17×#2555C211yesmaximal, characteristic, complemented
23C17×#2477C211yesmaximal, characteristic, complemented
24C17×#2474C211yesmaximal, characteristic, complemented
25C17×#2468C211yesmaximal, characteristic, complemented
26C17×#2464C211yesmaximal, characteristic, complemented
27C17×#2458C211yesmaximal, characteristic, complemented
28C17×#2448C211yesmaximal, characteristic, complemented
29C17×#2334C211yesmaximal, characteristic, complemented
30C17×#2324C211yesmaximal, characteristic, complemented
31C4×C17×C22⋊Q8C211yesmaximal, characteristic, complemented
32C2×C17×#126C2211yescharacteristic
33C2×C17×#126C2211yescharacteristic
34C2×C17×#124C2211yescharacteristic
35C2×C17×#124C2211yescharacteristic
36C2×C17×#124C2211yescharacteristic
37C2×C17×#124C2211yescharacteristic
38C2×C17×#123C2211yescharacteristic
39C2×C17×#123C2211yescharacteristic
40C2×C17×#123C2211yescharacteristic
41C2×C17×#123C2211yescharacteristic
42C2×C17×C22⋊Q8C2211yescharacteristic
43C2×C17×C22⋊Q8C2211yescharacteristic
44C2×C17×#121C2211yescharacteristic
45C2×C17×#121C2211yescharacteristic
46C2×C17×#121C2211yescharacteristic
47C2×C17×#121C2211yescharacteristic
48C2×C17×#121C2211yescharacteristic
49C2×C4×Q8×C17C2211yescharacteristic
50C2×C4×D4×C17C2211yescharacteristic
51C2×C17×#117C2211yescharacteristic
52C22×C42×C17C2211yescharacteristic
53C17×#400C2211yescharacteristic
54C17×#400C2211yescharacteristic
55C17×#400C2211yescharacteristic
56C17×#399C2211yescharacteristic
57C17×#399C2211yescharacteristic
58C17×#399C2211yescharacteristic
59C17×#398C2211yescharacteristic
60C17×#398C2211yescharacteristic
61C17×#398C2211yescharacteristic
62C17×#398C2211yescharacteristic
63C17×#398C2211yescharacteristic
64C17×#398C2211yescharacteristic
65C17×#398C2211yescharacteristic
66C17×#397C2211yescharacteristic
67C17×#397C2211yescharacteristic
68C17×#397C2211yescharacteristic
69C17×#397C2211yescharacteristic
70C17×#397C2211yescharacteristic
71C17×#397C2211yescharacteristic
72C17×#397C2211yescharacteristic
73C17×#396C2211yescharacteristic
74C17×#396C2211yescharacteristic
75C17×#396C2211yescharacteristic
76C17×#396C2211yescharacteristic
77C17×#395C2211yescharacteristic
78C17×#395C2211yescharacteristic
79C17×#395C2211yescharacteristic
80C17×#394C2211yescharacteristic
81C17×#394C2211yescharacteristic
82C17×#394C2211yescharacteristic
83C17×#394C2211yescharacteristic
84C17×#394C2211yescharacteristic
85C17×#394C2211yescharacteristic
86C17×#394C2211yescharacteristic
87C17×#394C2211yescharacteristic
88C17×#394C2211yescharacteristic
89C17×#394C2211yescharacteristic
90C17×#394C2211yescharacteristic
91C17×#393C2211yescharacteristic
92C17×#393C2211yescharacteristic
93C17×#393C2211yescharacteristic
94C17×#393C2211yescharacteristic
95C17×#393C2211yescharacteristic
96C17×#392C2211yescharacteristic
97C17×#392C2211yescharacteristic
98C17×#392C2211yescharacteristic
99C17×#392C2211yescharacteristic
100C17×#392C2211yescharacteristic
101C17×#391C2211yescharacteristic
102C17×#391C2211yescharacteristic
103C17×#391C2211yescharacteristic
104C17×#391C2211yescharacteristic
105C17×#391C2211yescharacteristic
106C17×#391C2211yescharacteristic
107C17×#390C2211yescharacteristic
108C17×#390C2211yescharacteristic
109C17×#390C2211yescharacteristic
110C17×#390C2211yescharacteristic
111C17×#390C2211yescharacteristic
112C17×#390C2211yescharacteristic
113C17×#390C2211yescharacteristic
114C17×#390C2211yescharacteristic
115C17×#389C2211yescharacteristic
116C17×#389C2211yescharacteristic
117C17×#389C2211yescharacteristic
118C17×#389C2211yescharacteristic
119C17×#389C2211yescharacteristic
120C17×#389C2211yescharacteristic
121C17×#388C2211yescharacteristic
122C17×#388C2211yescharacteristic
123C17×#388C2211yescharacteristic
124C17×#388C2211yescharacteristic
125C17×#388C2211yescharacteristic
126C17×#388C2211yescharacteristic
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
140C17×#388C2211yescharacteristic
141C17×#387C2211yescharacteristic
142C17×#387C2211yescharacteristic
143C17×#387C2211yescharacteristic
144C17×#387C2211yescharacteristic
145C17×#387C2211yescharacteristic
146C17×#387C2211yescharacteristic
147C17×#387C2211yescharacteristic
148C17×#387C2211yescharacteristic
149C17×#386C2211yescharacteristic
150C17×#386C2211yescharacteristic
151C17×#386C2211yescharacteristic
152C17×#386C2211yescharacteristic
153C17×#386C2211yescharacteristic
154C17×#386C2211yescharacteristic
155C17×#386C2211yescharacteristic
156C17×#386C2211yescharacteristic
157C17×#386C2211yescharacteristic
158C17×#386C2211yescharacteristic
159C17×#386C2211yescharacteristic
160C17×#386C2211yescharacteristic
161C17×#385C2211yescharacteristic
162C17×#385C2211yescharacteristic
163C17×#385C2211yescharacteristic
164C17×#385C2211yescharacteristic
165C17×#385C2211yescharacteristic
166C17×#385C2211yescharacteristic
167C17×#385C2211yescharacteristic
168C17×#385C2211yescharacteristic
169C17×#385C2211yescharacteristic
170C17×#385C2211yescharacteristic
171C17×#385C2211yescharacteristic
172C17×#385C2211yescharacteristic
173C17×#382C2211yescharacteristic
174C17×#382C2211yescharacteristic
175C17×#381C2211yescharacteristic
176C17×#380C2211yescharacteristic
177C17×#380C2211yescharacteristic
178C17×#380C2211yescharacteristic
179C17×#380C2211yescharacteristic
180C4×C4⋊C4×C17C2211yescharacteristic
181C4×C4⋊C4×C17C2211yescharacteristic
182C4×C4⋊C4×C17C2211yescharacteristic
183C4×C4⋊C4×C17C2211yescharacteristic
184C4×C22⋊C4×C17C2211yescharacteristic
185C4×C22⋊C4×C17C2211yescharacteristic
186C4×C22⋊C4×C17C2211yescharacteristic
187C22×Q8×C17C2311yescharacteristic
188C22×Q8×C17C2311yescharacteristic
189C22×Q8×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C23×C4×C17C2311yescharacteristic
203C23×C4×C17C2311yescharacteristic
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C17×#126—24no—
208C17×#126—42no—
209C17×#124—42no—
210C17×#124—42no—
211C17×#124—42no—
212C17×#124—42no—
213C17×#123—42no—
214C17×#123—42no—
215C17×#123—42no—
216C17×#123—42no—
217C17×C22⋊Q8—24no—
218C17×C22⋊Q8—42no—
219C17×#121—24no—
220C17×#121—42no—
221C17×#121—42no—
222C17×#121—42no—
223C17×#121—42no—
224C4×Q8×C17—42no—
225C4×D4×C17—42no—
226C17×#117—42no—
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×C4⋊C4×C17C2311yescharacteristic
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C4⋊C4×C17C2311yescharacteristic
240C2×C4⋊C4×C17C2311yescharacteristic
241C2×C4⋊C4×C17C2311yescharacteristic
242C2×C4⋊C4×C17C2311yescharacteristic
243C2×C4⋊C4×C17C2311yescharacteristic
244C2×C4⋊C4×C17C2311yescharacteristic
245C2×C4⋊C4×C17C2311yescharacteristic
246C2×C4⋊C4×C17C2311yescharacteristic
247C2×C4⋊C4×C17C2311yescharacteristic
248C2×C4⋊C4×C17C2311yescharacteristic
249C2×C4⋊C4×C17C2311yescharacteristic
250C2×C4⋊C4×C17C2311yescharacteristic
251C2×C4⋊C4×C17C2311yescharacteristic
252C2×C4⋊C4×C17C2311yescharacteristic
253C2×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×C22⋊C4×C17C2311yescharacteristic
261C2×C22⋊C4×C17C2311yescharacteristic
262C2×C22⋊C4×C17C2311yescharacteristic
263C2×C22⋊C4×C17C2311yescharacteristic
264C2×C22⋊C4×C17C2311yescharacteristic
265C2×C22⋊C4×C17C2311yescharacteristic
266C2×C22⋊C4×C17C2311yescharacteristic
267C2×C22⋊C4×C17C2311yescharacteristic
268C2×C22⋊C4×C17C2311yescharacteristic
269C2×C22⋊C4×C17C2311yescharacteristic
270C2×C22⋊C4×C17C2311yescharacteristic
271C2×C22⋊C4×C17C2311yescharacteristic
272C2×C22⋊C4×C17C2311yescharacteristic
273C2×C22⋊C4×C17C2311yescharacteristic
274C2×C22⋊C4×C17C2311yescharacteristic
275C2×C22⋊C4×C17C2311yescharacteristic
276C2×C22⋊C4×C17C2311yescharacteristic
277C2×C22⋊C4×C17C2311yescharacteristic
278C2×C22⋊C4×C17C2311yescharacteristic
279C2×C22⋊C4×C17C2311yescharacteristic
280C2×C22⋊C4×C17C2311yescharacteristic
281C2×C22⋊C4×C17C2311yescharacteristic
282C2×C22⋊C4×C17C2311yescharacteristic
283C2×C22⋊C4×C17C2311yescharacteristic
284C2×C22⋊C4×C17C2311yescharacteristic
285C2×C22⋊C4×C17C2311yescharacteristic
286C2×C22⋊C4×C17C2311yescharacteristic
287C2×C22⋊C4×C17C2311yescharacteristic
288C2×C22⋊C4×C17C2311yescharacteristic
289C2×C22⋊C4×C17C2311yescharacteristic
290C2×C22⋊C4×C17C2311yescharacteristic
291C2×C22⋊C4×C17C2311yescharacteristic
292C2×C22⋊C4×C17C2311yescharacteristic
293C2×C22⋊C4×C17C2311yescharacteristic
294C2×C22⋊C4×C17C2311yescharacteristic
295C2×C22⋊C4×C17C2311yescharacteristic
296C2×C22⋊C4×C17C2311yescharacteristic
297C2×C22⋊C4×C17C2311yescharacteristic
298C2×C22⋊C4×C17C2311yescharacteristic
299C2×C22⋊C4×C17C2311yescharacteristic
300C2×C22⋊C4×C17C2311yescharacteristic
301C2×C22⋊C4×C17C2311yescharacteristic
302C2×C22⋊C4×C17C2311yescharacteristic
303C2×C22⋊C4×C17C2311yescharacteristic
304C2×C22⋊C4×C17C2311yescharacteristic
305C2×C22⋊C4×C17C2311yescharacteristic
306C2×C22⋊C4×C17C2311yescharacteristic
307C2×C22⋊C4×C17C2311yescharacteristic
308C2×C42×C17—42no—
309C2×C42×C17C2311yescharacteristic
310C2×C42×C17C2311yescharacteristic
311C2×C42×C17C2311yescharacteristic
312C2×C42×C17C2311yescharacteristic
313C2×C42×C17C2311yescharacteristic
314C2×C42×C17C2311yescharacteristic
315C2×C42×C17C2311yescharacteristic
316C2×C42×C17C2311yescharacteristic
317C2×C42×C17C2311yescharacteristic
318C2×C42×C17C2311yescharacteristic
319C2×C42×C17C2311yescharacteristic
320C2×C42×C17C2311yescharacteristic
321C17×#95C2311yescharacteristic
322C17×#95C2311yescharacteristic
323C17×#95C2311yescharacteristic
324C17×#95C2311yescharacteristic
325C17×#95C2311yescharacteristic
326C17×#95C2311yescharacteristic
327C17×#95C2311yescharacteristic
328C17×#95C2311yescharacteristic
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C24×C17C2411yescharacteristic
364C24×C17C2411yescharacteristic
365C24×C17C2411yescharacteristic
366C24×C17C2411yescharacteristic
367C24×C17C2411yescharacteristic
368C2×Q8×C17—22no—
369C2×Q8×C17—22no—
370C2×Q8×C17—22no—
371C2×Q8×C17—41no—
372C2×Q8×C17—41no—
373C2×Q8×C17—41no—
374C2×Q8×C17—41no—
375C2×Q8×C17—41no—
376C2×Q8×C17—41no—
377C2×D4×C17—22no—
378C2×D4×C17—22no—
379C2×D4×C17—22no—
380C2×D4×C17—22no—
381C2×D4×C17—22no—
382C2×D4×C17—22no—
383C2×D4×C17—22no—
384C2×D4×C17—22no—
385C2×D4×C17—41no—
386C2×D4×C17—41no—
387C2×D4×C17—41no—
388C2×D4×C17—41no—
389C2×D4×C17—41no—
390C2×D4×C17—41no—
391C2×D4×C17—41no—
392C2×D4×C17—41no—
393C2×D4×C17—41no—
394C2×D4×C17—41no—
395C2×D4×C17—41no—
396C2×D4×C17—41no—
397C2×D4×C17—41no—
398C2×D4×C17—41no—
399C2×D4×C17—41no—
400C2×D4×C17—41no—
401C2×D4×C17—41no—
402C2×D4×C17—41no—
403C2×D4×C17—41no—
404C2×D4×C17—41no—
405C2×D4×C17—41no—
406C2×D4×C17—41no—
407C22×C4×C17—22no—
408C22×C4×C17—22no—
409C22×C4×C17—22no—
410C22×C4×C17—22no—
411C22×C4×C17—22no—
412C22×C4×C17—22no—
413C22×C4×C17—41no—
414C22×C4×C17—41no—
415C22×C4×C17—41no—
416C22×C4×C17—41no—
417C22×C4×C17—41no—
418C22×C4×C17—41no—
419C22×C4×C17—41no—
420C22×C4×C17—41no—
421C22×C4×C17—41no—
422C22×C4×C17—41no—
423C22×C4×C17—41no—
424C22×C4×C17—41no—
425C22×C4×C17—41no—
426C22×C4×C17—41no—
427C22×C4×C17—41no—
428C22×C4×C17C2411yescharacteristic
429C22×C4×C17C2411yescharacteristic
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C22×C4×C17C2411yescharacteristic
439C22×C4×C17C2411yescharacteristic
440C22×C4×C17C2411yescharacteristic
441C22×C4×C17C2411yescharacteristic
442C22×C4×C17C2411yescharacteristic
443C22×C4×C17C2411yescharacteristic
444C22×C4×C17C2411yescharacteristic
445C22×C4×C17C2411yescharacteristic
446C22×C4×C17C2411yescharacteristic
447C22×C4×C17C2411yescharacteristic
448C22×C4×C17C2411yescharacteristic
449C22×C4×C17C2411yescharacteristic
450C22×C4×C17C2411yescharacteristic
451C22×C4×C17C2411yescharacteristic
452C22×C4×C17C2411yescharacteristic
453C22×C4×C17C2411yescharacteristic
454C4⋊C4×C17—22no—
455C4⋊C4×C17—22no—
456C4⋊C4×C17—22no—
457C4⋊C4×C17—22no—
458C4⋊C4×C17—22no—
459C4⋊C4×C17—22no—
460C4⋊C4×C17—22no—
461C4⋊C4×C17—41no—
462C4⋊C4×C17—41no—
463C4⋊C4×C17—41no—
464C4⋊C4×C17—41no—
465C4⋊C4×C17—41no—
466C4⋊C4×C17—41no—
467C4⋊C4×C17—41no—
468C4⋊C4×C17—41no—
469C4⋊C4×C17—41no—
470C4⋊C4×C17—41no—
471C4⋊C4×C17—41no—
472C4⋊C4×C17—41no—
473C4⋊C4×C17—41no—
474C4⋊C4×C17—41no—
475C4⋊C4×C17—41no—
476C4⋊C4×C17—41no—
477C4⋊C4×C17—41no—
478C4⋊C4×C17—41no—
479C4⋊C4×C17—41no—
480C4⋊C4×C17—41no—
481C4⋊C4×C17—41no—
482C4⋊C4×C17—41no—
483C4⋊C4×C17—41no—
484C4⋊C4×C17—41no—
485C4⋊C4×C17—41no—
486C4⋊C4×C17#4114yes—
487C22⋊C4×C17—22no—
488C22⋊C4×C17—22no—
489C22⋊C4×C17—22no—
490C22⋊C4×C17—22no—
491C22⋊C4×C17—22no—
492C22⋊C4×C17—22no—
493C22⋊C4×C17—22no—
494C22⋊C4×C17—22no—
495C22⋊C4×C17—22no—
496C22⋊C4×C17—22no—
497C22⋊C4×C17—22no—
498C22⋊C4×C17—22no—
499C22⋊C4×C17—22no—
500C22⋊C4×C17—22no—
501C22⋊C4×C17—22no—
502C22⋊C4×C17—22no—
503C22⋊C4×C17—22no—
504C22⋊C4×C17—22no—
505C22⋊C4×C17—22no—
506C22⋊C4×C17—22no—
507C22⋊C4×C17—22no—
508C22⋊C4×C17—41no—
509C22⋊C4×C17—41no—
510C22⋊C4×C17—41no—
511C22⋊C4×C17—41no—
512C22⋊C4×C17—41no—
513C22⋊C4×C17—41no—
514C22⋊C4×C17—41no—
515C22⋊C4×C17—41no—
516C22⋊C4×C17—41no—
517C22⋊C4×C17—41no—
518C22⋊C4×C17—41no—
519C22⋊C4×C17—41no—
520C22⋊C4×C17—41no—
521C22⋊C4×C17—41no—
522C22⋊C4×C17—41no—
523C22⋊C4×C17—41no—
524C22⋊C4×C17—41no—
525C22⋊C4×C17—41no—
526C22⋊C4×C17—41no—
527C22⋊C4×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—
535C42×C17—22no—
536C42×C17—22no—
537C42×C17—22no—
538C42×C17—22no—
539C42×C17—22no—
540C42×C17—41no—
541C42×C17—41no—
542C42×C17—41no—
543C42×C17—41no—
544C42×C17—41no—
545C42×C17—41no—
546C42×C17—41no—
547#36865C1711yesmaximal, characteristic, direct product factor, Sylow
548C23×C17—21no—
549C23×C17—21no—
550C23×C17—21no—
551C23×C17—21no—
552C23×C17—21no—
553C23×C17—21no—
554C23×C17—21no—
555C23×C17—21no—
556C23×C17—21no—
557C23×C17—21no—
558C23×C17—21no—
559C23×C17—21no—
560C23×C17—21no—
561C23×C17—21no—
562C23×C17—21no—
563C23×C17—21no—
564C23×C17—21no—
565C23×C17—21no—
566C23×C17—21no—
567C23×C17—21no—
568C23×C17—21no—
569C23×C17—21no—
570C23×C17—21no—
571C23×C17—21no—
572C23×C17—21no—
573C23×C17—21no—
574C23×C17—21no—
575C23×C17—21no—
576C23×C17—21no—
577C23×C17—21no—
578C23×C17—21no—
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17H(5,𝔽2)12yes—
583C23×C17C2511yescharacteristic
584Q8×C17—44no—
585Q8×C17—82no—
586Q8×C17—82no—
587D4×C17—44no—
588D4×C17—82no—
589D4×C17—82no—
590D4×C17—82no—
591D4×C17—82no—
592D4×C17—82no—
593D4×C17—82no—
594D4×C17—82no—
595D4×C17—82no—
596D4×C17—82no—
597C2×C4×C17—21no—
598C2×C4×C17—21no—
599C2×C4×C17—21no—
600C2×C4×C17—21no—
601C2×C4×C17—21no—
602C2×C4×C17—21no—
603C2×C4×C17—21no—
604C2×C4×C17—21no—
605C2×C4×C17—21no—
606C2×C4×C17—21no—
607C2×C4×C17—21no—
608C2×C4×C17—21no—
609C2×C4×C17—21no—
610C2×C4×C17—21no—
611C2×C4×C17—21no—
612C2×C4×C17—21no—
613C2×C4×C17—21no—
614C2×C4×C17—21no—
615C2×C4×C17—21no—
616C2×C4×C17—21no—
617C2×C4×C17—21no—
618C2×C4×C17—21no—
619C2×C4×C17—21no—
620C2×C4×C17—21no—
621C2×C4×C17—21no—
622C2×C4×C17—21no—
623C2×C4×C17—21no—
624C2×C4×C17—21no—
625C2×C4×C17—21no—
626C2×C4×C17—21no—
627C2×C4×C17—21no—
628C2×C4×C17—21no—
629C2×C4×C17—21no—
630C2×C4×C17—21no—
631C2×C4×C17—21no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—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—44no—
670C2×C4×C17—44no—
671C2×C4×C17—44no—
672C2×C4×C17—44no—
673C2×C4×C17—82no—
674C2×C4×C17—82no—
675C2×C4×C17—82no—
676C2×C4×C17C2×#4112yes—
677C2×C4×C17C2×#4112yes—
678C2×C4×C17C2×#4112yes—
679C2×C4×C17H(5,𝔽2)12yes—
680C2×C4×C17H(5,𝔽2)12yes—
681C2×C4×C172−1+412yes—
682#2854C2×C1711yescharacteristic, complemented
683#2850C2×C1711yescharacteristic, complemented
684#2806C2×C1711yescharacteristic, complemented
685#2780C2×C1711yescharacteristic, complemented
686#2768C2×C1711yescharacteristic, complemented
687#2763C2×C1711yescharacteristic, complemented
688#2751C2×C1711yescharacteristic, complemented
689#2717C2×C1711yescharacteristic, complemented
690#2714C2×C1711yescharacteristic, complemented
691#2712C2×C1711yescharacteristic, complemented
692#2710C2×C1711yescharacteristic, complemented
693#2710C2×C1711yescharacteristic, complemented
694#2708C2×C1711yescharacteristic, complemented
695#2706C2×C1711yescharacteristic, complemented
696#2702C2×C1711yescharacteristic, complemented
697#2701C2×C1711yescharacteristic, complemented
698#2676C2×C1711yescharacteristic, complemented
699#2671C2×C1711yescharacteristic, complemented
700#2662C2×C1711yescharacteristic, complemented
701#2654C2×C1711yescharacteristic, complemented
702#2560C2×C1711yescharacteristic, complemented
703#2555C2×C1711yescharacteristic, complemented
704#2477C2×C1711yescharacteristic, complemented
705#2474C2×C1711yescharacteristic, complemented
706#2468C2×C1711yescharacteristic, complemented
707#2464C2×C1711yescharacteristic, complemented
708#2458C2×C1711yescharacteristic, complemented
709#2448C2×C1711yescharacteristic, complemented
710#2334C2×C1711yescharacteristic, complemented
711#2324C2×C1711yescharacteristic, complemented
712C4×C22⋊Q8C2×C1711yescharacteristic, complemented
713C22×C17—22no—
714C22×C17—22no—
715C22×C17—22no—
716C22×C17—41no—
717C22×C17—41no—
718C22×C17—41no—
719C22×C17—41no—
720C22×C17—41no—
721C22×C17—41no—
722C22×C17—41no—
723C22×C17—41no—
724C22×C17—41no—
725C22×C17—41no—
726C22×C17—41no—
727C22×C17—41no—
728C22×C17—41no—
729C22×C17—41no—
730C22×C17—41no—
731C22×C17—41no—
732C22×C17—41no—
733C22×C17—41no—
734C22×C17—41no—
735C22×C17—41no—
736C22×C17—41no—
737C22×C17—41no—
738C22×C17—41no—
739C22×C17—41no—
740C22×C17—41no—
741C22×C17—41no—
742C22×C17—41no—
743C22×C17—41no—
744C22×C17—41no—
745C22×C17—41no—
746C22×C17—41no—
747C22×C17—41no—
748C22×C17C22×#4111yescharacteristic
749C22×C17C2×H(5,𝔽2)11yescharacteristic
750C22×C17C2×H(5,𝔽2)11yescharacteristic
751C22×C17C2×H(5,𝔽2)11yescharacteristic
752C22×C17C2×2−1+411yescharacteristic
753C22×C17#58511yescharacteristic
754C22×C17#58511yescharacteristic
755C4×C17—22no—
756C4×C17—22no—
757C4×C17—22no—
758C4×C17—22no—
759C4×C17—22no—
760C4×C17—22no—
761C4×C17—41no—
762C4×C17—41no—
763C4×C17—41no—
764C4×C17—41no—
765C4×C17—41no—
766C4×C17—41no—
767C4×C17—41no—
768C4×C17—41no—
769C4×C17—41no—
770C4×C17—41no—
771C4×C17—41no—
772C4×C17—41no—
773C4×C17—41no—
774C4×C17—41no—
775C4×C17—41no—
776C4×C17—41no—
777C4×C17—41no—
778C4×C17—41no—
779C4×C17—41no—
780C4×C17—41no—
781C2×#126C22×C1711yescharacteristic
782C2×#126C22×C1711yescharacteristic
783C2×#124C22×C1711yescharacteristic
784C2×#124C22×C1711yescharacteristic
785C2×#124C22×C1711yescharacteristic
786C2×#124C22×C1711yescharacteristic
787C2×#123C22×C1711yescharacteristic
788C2×#123C22×C1711yescharacteristic
789C2×#123C22×C1711yescharacteristic
790C2×#123C22×C1711yescharacteristic
791C2×C22⋊Q8C22×C1711yescharacteristic
792C2×C22⋊Q8C22×C1711yescharacteristic
793C2×#121C22×C1711yescharacteristic
794C2×#121C22×C1711yescharacteristic
795C2×#121C22×C1711yescharacteristic
796C2×#121C22×C1711yescharacteristic
797C2×#121C22×C1711yescharacteristic
798C2×C4×Q8C22×C1711yescharacteristic
799C2×C4×D4C22×C1711yescharacteristic
800C2×#117C22×C1711yescharacteristic
801C22×C42C22×C1711yescharacteristic
802#400C22×C1711yescharacteristic
803#400C22×C1711yescharacteristic
804#400C22×C1711yescharacteristic
805#399C22×C1711yescharacteristic
806#399C22×C1711yescharacteristic
807#399C22×C1711yescharacteristic
808#398C22×C1711yescharacteristic
809#398C22×C1711yescharacteristic
810#398C22×C1711yescharacteristic
811#398C22×C1711yescharacteristic
812#398C22×C1711yescharacteristic
813#398C22×C1711yescharacteristic
814#398C22×C1711yescharacteristic
815#397C22×C1711yescharacteristic
816#397C22×C1711yescharacteristic
817#397C22×C1711yescharacteristic
818#397C22×C1711yescharacteristic
819#397C22×C1711yescharacteristic
820#397C22×C1711yescharacteristic
821#397C22×C1711yescharacteristic
822#396C22×C1711yescharacteristic
823#396C22×C1711yescharacteristic
824#396C22×C1711yescharacteristic
825#396C22×C1711yescharacteristic
826#395C22×C1711yescharacteristic
827#395C22×C1711yescharacteristic
828#395C22×C1711yescharacteristic
829#394C22×C1711yescharacteristic
830#394C22×C1711yescharacteristic
831#394C22×C1711yescharacteristic
832#394C22×C1711yescharacteristic
833#394C22×C1711yescharacteristic
834#394C22×C1711yescharacteristic
835#394C22×C1711yescharacteristic
836#394C22×C1711yescharacteristic
837#394C22×C1711yescharacteristic
838#394C22×C1711yescharacteristic
839#394C22×C1711yescharacteristic
840#393C22×C1711yescharacteristic
841#393C22×C1711yescharacteristic
842#393C22×C1711yescharacteristic
843#393C22×C1711yescharacteristic
844#393C22×C1711yescharacteristic
845#392C22×C1711yescharacteristic
846#392C22×C1711yescharacteristic
847#392C22×C1711yescharacteristic
848#392C22×C1711yescharacteristic
849#392C22×C1711yescharacteristic
850#391C22×C1711yescharacteristic
851#391C22×C1711yescharacteristic
852#391C22×C1711yescharacteristic
853#391C22×C1711yescharacteristic
854#391C22×C1711yescharacteristic
855#391C22×C1711yescharacteristic
856#390C22×C1711yescharacteristic
857#390C22×C1711yescharacteristic
858#390C22×C1711yescharacteristic
859#390C22×C1711yescharacteristic
860#390C22×C1711yescharacteristic
861#390C22×C1711yescharacteristic
862#390C22×C1711yescharacteristic
863#390C22×C1711yescharacteristic
864#389C22×C1711yescharacteristic
865#389C22×C1711yescharacteristic
866#389C22×C1711yescharacteristic
867#389C22×C1711yescharacteristic
868#389C22×C1711yescharacteristic
869#389C22×C1711yescharacteristic
870#388C22×C1711yescharacteristic
871#388C22×C1711yescharacteristic
872#388C22×C1711yescharacteristic
873#388C22×C1711yescharacteristic
874#388C22×C1711yescharacteristic
875#388C22×C1711yescharacteristic
876#388C22×C1711yescharacteristic
877#388C22×C1711yescharacteristic
878#388C22×C1711yescharacteristic
879#388C22×C1711yescharacteristic
880#388C22×C1711yescharacteristic
881#388C22×C1711yescharacteristic
882#388C22×C1711yescharacteristic
883#388C22×C1711yescharacteristic
884#388C22×C1711yescharacteristic
885#388C22×C1711yescharacteristic
886#388C22×C1711yescharacteristic
887#388C22×C1711yescharacteristic
888#388C22×C1711yescharacteristic
889#388C22×C1711yescharacteristic
890#387C22×C1711yescharacteristic
891#387C22×C1711yescharacteristic
892#387C22×C1711yescharacteristic
893#387C22×C1711yescharacteristic
894#387C22×C1711yescharacteristic
895#387C22×C1711yescharacteristic
896#387C22×C1711yescharacteristic
897#387C22×C1711yescharacteristic
898#386C22×C1711yescharacteristic
899#386C22×C1711yescharacteristic
900#386C22×C1711yescharacteristic
901#386C22×C1711yescharacteristic
902#386C22×C1711yescharacteristic
903#386C22×C1711yescharacteristic
904#386C22×C1711yescharacteristic
905#386C22×C1711yescharacteristic
906#386C22×C1711yescharacteristic
907#386C22×C1711yescharacteristic
908#386C22×C1711yescharacteristic
909#386C22×C1711yescharacteristic
910#385C22×C1711yescharacteristic
911#385C22×C1711yescharacteristic
912#385C22×C1711yescharacteristic
913#385C22×C1711yescharacteristic
914#385C22×C1711yescharacteristic
915#385C22×C1711yescharacteristic
916#385C22×C1711yescharacteristic
917#385C22×C1711yescharacteristic
918#385C22×C1711yescharacteristic
919#385C22×C1711yescharacteristic
920#385C22×C1711yescharacteristic
921#385C22×C1711yescharacteristic
922#382C22×C1711yescharacteristic
923#382C22×C1711yescharacteristic
924#381C22×C1711yescharacteristic
925#380C22×C1711yescharacteristic
926#380C22×C1711yescharacteristic
927#380C22×C1711yescharacteristic
928#380C22×C1711yescharacteristic
929C4×C4⋊C4C22×C1711yescharacteristic
930C4×C4⋊C4C22×C1711yescharacteristic
931C4×C4⋊C4C22×C1711yescharacteristic
932C4×C4⋊C4C22×C1711yescharacteristic
933C4×C22⋊C4C22×C1711yescharacteristic
934C4×C22⋊C4C22×C1711yescharacteristic
935C4×C22⋊C4C22×C1711yescharacteristic
936C2×C17—42no—
937C2×C17—81no—
938C2×C17—81no—
939C2×C17—81no—
940C2×C17—81no—
941C2×C17#346011yescharacteristic
942C2×C17#351311yescharacteristic
943C2×C17#352211yescharacteristic
944C2×C17#353611yescharacteristic
945C2×C17#354211yescharacteristic
946C2×C17#355811yescharacteristic
947C2×C17#356511yescharacteristic
948C22×Q8C23×C1711yescharacteristic
949C22×Q8C23×C1711yescharacteristic
950C22×Q8C23×C1711yescharacteristic
951C22×D4C23×C1711yescharacteristic
952C22×D4C23×C1711yescharacteristic
953C22×D4C23×C1711yescharacteristic
954C22×D4C23×C1711yescharacteristic
955C22×D4C23×C1711yescharacteristic
956C22×D4C23×C1711yescharacteristic
957C22×D4C23×C1711yescharacteristic
958C22×D4C23×C1711yescharacteristic
959C22×D4C23×C1711yescharacteristic
960C22×D4C23×C1711yescharacteristic
961C23×C4C23×C1711yescharacteristic
962C23×C4C23×C1711yescharacteristic
963C23×C4C23×C1711yescharacteristic
964C23×C4C23×C1711yescharacteristic
965C23×C4C23×C1711yescharacteristic
966C23×C4C23×C1711yescharacteristic
967C23×C4C23×C1711yescharacteristic
968#126—24no—
969#126—42no—
970#124—42no—
971#124—42no—
972#124—42no—
973#124—42no—
974#123—42no—
975#123—42no—
976#123—42no—
977#123—42no—
978C22⋊Q8—24no—
979C22⋊Q8—42no—
980#121—24no—
981#121—42no—
982#121—42no—
983#121—42no—
984#121—42no—
985C4×Q8—42no—
986C4×D4—42no—
987#117—42no—
988C2×C4⋊C4C23×C1711yescharacteristic
989C2×C4⋊C4C23×C1711yescharacteristic
990C2×C4⋊C4C23×C1711yescharacteristic
991C2×C4⋊C4C23×C1711yescharacteristic
992C2×C4⋊C4C23×C1711yescharacteristic
993C2×C4⋊C4C23×C1711yescharacteristic
994C2×C4⋊C4C23×C1711yescharacteristic
995C2×C4⋊C4C23×C1711yescharacteristic
996C2×C4⋊C4C23×C1711yescharacteristic
997C2×C4⋊C4C23×C1711yescharacteristic
998C2×C4⋊C4C23×C1711yescharacteristic
999C2×C4⋊C4C23×C1711yescharacteristic
1000C2×C4⋊C4C23×C1711yescharacteristic
1001C2×C4⋊C4C23×C1711yescharacteristic
1002C2×C4⋊C4C23×C1711yescharacteristic
1003C2×C4⋊C4C23×C1711yescharacteristic
1004C2×C4⋊C4C23×C1711yescharacteristic
1005C2×C4⋊C4C23×C1711yescharacteristic
1006C2×C4⋊C4C23×C1711yescharacteristic
1007C2×C4⋊C4C23×C1711yescharacteristic
1008C2×C4⋊C4C23×C1711yescharacteristic
1009C2×C4⋊C4C23×C1711yescharacteristic
1010C2×C4⋊C4C23×C1711yescharacteristic
1011C2×C4⋊C4C23×C1711yescharacteristic
1012C2×C4⋊C4C23×C1711yescharacteristic
1013C2×C4⋊C4C23×C1711yescharacteristic
1014C2×C4⋊C4C23×C1711yescharacteristic
1015C2×C4⋊C4C23×C1711yescharacteristic
1016C2×C4⋊C4C23×C1711yescharacteristic
1017C2×C4⋊C4C23×C1711yescharacteristic
1018C2×C4⋊C4C23×C1711yescharacteristic
1019C2×C4⋊C4C23×C1711yescharacteristic
1020C2×C4⋊C4C23×C1711yescharacteristic
1021C2×C22⋊C4C23×C1711yescharacteristic
1022C2×C22⋊C4C23×C1711yescharacteristic
1023C2×C22⋊C4C23×C1711yescharacteristic
1024C2×C22⋊C4C23×C1711yescharacteristic
1025C2×C22⋊C4C23×C1711yescharacteristic
1026C2×C22⋊C4C23×C1711yescharacteristic
1027C2×C22⋊C4C23×C1711yescharacteristic
1028C2×C22⋊C4C23×C1711yescharacteristic
1029C2×C22⋊C4C23×C1711yescharacteristic
1030C2×C22⋊C4C23×C1711yescharacteristic
1031C2×C22⋊C4C23×C1711yescharacteristic
1032C2×C22⋊C4C23×C1711yescharacteristic
1033C2×C22⋊C4C23×C1711yescharacteristic
1034C2×C22⋊C4C23×C1711yescharacteristic
1035C2×C22⋊C4C23×C1711yescharacteristic
1036C2×C22⋊C4C23×C1711yescharacteristic
1037C2×C22⋊C4C23×C1711yescharacteristic
1038C2×C22⋊C4C23×C1711yescharacteristic
1039C2×C22⋊C4C23×C1711yescharacteristic
1040C2×C22⋊C4C23×C1711yescharacteristic
1041C2×C22⋊C4C23×C1711yescharacteristic
1042C2×C22⋊C4C23×C1711yescharacteristic
1043C2×C22⋊C4C23×C1711yescharacteristic
1044C2×C22⋊C4C23×C1711yescharacteristic
1045C2×C22⋊C4C23×C1711yescharacteristic
1046C2×C22⋊C4C23×C1711yescharacteristic
1047C2×C22⋊C4C23×C1711yescharacteristic
1048C2×C22⋊C4C23×C1711yescharacteristic
1049C2×C22⋊C4C23×C1711yescharacteristic
1050C2×C22⋊C4C23×C1711yescharacteristic
1051C2×C22⋊C4C23×C1711yescharacteristic
1052C2×C22⋊C4C23×C1711yescharacteristic
1053C2×C22⋊C4C23×C1711yescharacteristic
1054C2×C22⋊C4C23×C1711yescharacteristic
1055C2×C22⋊C4C23×C1711yescharacteristic
1056C2×C22⋊C4C23×C1711yescharacteristic
1057C2×C22⋊C4C23×C1711yescharacteristic
1058C2×C22⋊C4C23×C1711yescharacteristic
1059C2×C22⋊C4C23×C1711yescharacteristic
1060C2×C22⋊C4C23×C1711yescharacteristic
1061C2×C22⋊C4C23×C1711yescharacteristic
1062C2×C22⋊C4C23×C1711yescharacteristic
1063C2×C22⋊C4C23×C1711yescharacteristic
1064C2×C22⋊C4C23×C1711yescharacteristic
1065C2×C22⋊C4C23×C1711yescharacteristic
1066C2×C22⋊C4C23×C1711yescharacteristic
1067C2×C22⋊C4C23×C1711yescharacteristic
1068C2×C22⋊C4C23×C1711yescharacteristic
1069C2×C42—42no—
1070C2×C42C23×C1711yescharacteristic
1071C2×C42C23×C1711yescharacteristic
1072C2×C42C23×C1711yescharacteristic
1073C2×C42C23×C1711yescharacteristic
1074C2×C42C23×C1711yescharacteristic
1075C2×C42C23×C1711yescharacteristic
1076C2×C42C23×C1711yescharacteristic
1077C2×C42C23×C1711yescharacteristic
1078C2×C42C23×C1711yescharacteristic
1079C2×C42C23×C1711yescharacteristic
1080C2×C42C23×C1711yescharacteristic
1081C2×C42C23×C1711yescharacteristic
1082#95C23×C1711yescharacteristic
1083#95C23×C1711yescharacteristic
1084#95C23×C1711yescharacteristic
1085#95C23×C1711yescharacteristic
1086#95C23×C1711yescharacteristic
1087#95C23×C1711yescharacteristic
1088#95C23×C1711yescharacteristic
1089#95C23×C1711yescharacteristic
1090#95C23×C1711yescharacteristic
1091#95C23×C1711yescharacteristic
1092#95C23×C1711yescharacteristic
1093#95C23×C1711yescharacteristic
1094#95C23×C1711yescharacteristic
1095#95C23×C1711yescharacteristic
1096#95C23×C1711yescharacteristic
1097#95C23×C1711yescharacteristic
1098#95C23×C1711yescharacteristic
1099#95C23×C1711yescharacteristic
1100#95C23×C1711yescharacteristic
1101#95C23×C1711yescharacteristic
1102#95C23×C1711yescharacteristic
1103#95C23×C1711yescharacteristic
1104#95C23×C1711yescharacteristic
1105#95C23×C1711yescharacteristic
1106#95C23×C1711yescharacteristic
1107#95C23×C1711yescharacteristic
1108#95C23×C1711yescharacteristic
1109#95C23×C1711yescharacteristic
1110#95C23×C1711yescharacteristic
1111#95C23×C1711yescharacteristic
1112#95C23×C1711yescharacteristic
1113#95C23×C1711yescharacteristic
1114#95C23×C1711yescharacteristic
1115#95C23×C1711yescharacteristic
1116#95C23×C1711yescharacteristic
1117#95C23×C1711yescharacteristic
1118#95C23×C1711yescharacteristic
1119#95C23×C1711yescharacteristic
1120#95C23×C1711yescharacteristic
1121#95C23×C1711yescharacteristic
1122#95C23×C1711yescharacteristic
1123#95C23×C1711yescharacteristic
1124C17#3686511yescharacteristic, direct product factor, Sylow
1125C24C24×C1711yescharacteristic
1126C24C24×C1711yescharacteristic
1127C24C24×C1711yescharacteristic
1128C24C24×C1711yescharacteristic
1129C24C24×C1711yescharacteristic
1130C2×Q8—22no—
1131C2×Q8—22no—
1132C2×Q8—22no—
1133C2×Q8—41no—
1134C2×Q8—41no—
1135C2×Q8—41no—
1136C2×Q8—41no—
1137C2×Q8—41no—
1138C2×Q8—41no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4C24×C1711yescharacteristic
1191C22×C4C24×C1711yescharacteristic
1192C22×C4C24×C1711yescharacteristic
1193C22×C4C24×C1711yescharacteristic
1194C22×C4C24×C1711yescharacteristic
1195C22×C4C24×C1711yescharacteristic
1196C22×C4C24×C1711yescharacteristic
1197C22×C4C24×C1711yescharacteristic
1198C22×C4C24×C1711yescharacteristic
1199C22×C4C24×C1711yescharacteristic
1200C22×C4C24×C1711yescharacteristic
1201C22×C4C24×C1711yescharacteristic
1202C22×C4C24×C1711yescharacteristic
1203C22×C4C24×C1711yescharacteristic
1204C22×C4C24×C1711yescharacteristic
1205C22×C4C24×C1711yescharacteristic
1206C22×C4C24×C1711yescharacteristic
1207C22×C4C24×C1711yescharacteristic
1208C22×C4C24×C1711yescharacteristic
1209C22×C4C24×C1711yescharacteristic
1210C22×C4C24×C1711yescharacteristic
1211C22×C4C24×C1711yescharacteristic
1212C22×C4C24×C1711yescharacteristic
1213C22×C4C24×C1711yescharacteristic
1214C22×C4C24×C1711yescharacteristic
1215C22×C4C24×C1711yescharacteristic
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4#41×C1714yes—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C42—22no—
1298C42—22no—
1299C42—22no—
1300C42—22no—
1301C42—22no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23C17×H(5,𝔽2)12yes—
1344C23C25×C1711yescharacteristic
1345Q8—44no—
1346Q8—82no—
1347Q8—82no—
1348D4—44no—
1349D4—82no—
1350D4—82no—
1351D4—82no—
1352D4—82no—
1353D4—82no—
1354D4—82no—
1355D4—82no—
1356D4—82no—
1357D4—82no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—44no—
1431C2×C4—44no—
1432C2×C4—44no—
1433C2×C4—44no—
1434C2×C4—82no—
1435C2×C4—82no—
1436C2×C4—82no—
1437C2×C4C2×#41×C1712yes—
1438C2×C4C2×#41×C1712yes—
1439C2×C4C2×#41×C1712yes—
1440C2×C4C17×H(5,𝔽2)12yes—
1441C2×C4C17×H(5,𝔽2)12yes—
1442C2×C4C17×2−1+412yes—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22C22×#41×C1711yescharacteristic
1479C22C2×C17×H(5,𝔽2)11yescharacteristic
1480C22C2×C17×H(5,𝔽2)11yescharacteristic
1481C22C2×C17×H(5,𝔽2)11yescharacteristic
1482C22C2×C17×2−1+411yescharacteristic
1483C22C17×#58511yescharacteristic
1484C22C17×#58511yescharacteristic
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C2—42no—
1512C2—81no—
1513C2—81no—
1514C2—81no—
1515C2—81no—
1516C2C17×#346011yescharacteristic
1517C2C17×#351311yescharacteristic
1518C2C17×#352211yescharacteristic
1519C2C17×#353611yescharacteristic
1520C2C17×#354211yescharacteristic
1521C2C17×#355811yescharacteristic
1522C2C17×#356511yescharacteristic
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×#2854C2semidirect
2. C17×#2850C2semidirect
3. C17×#2806C2semidirect
4. C17×#2780C2semidirect
5. C17×#2768C2semidirect
6. C17×#2763C2semidirect
7. C17×#2751C2semidirect
8. C17×#2717C2semidirect
9. C17×#2714C2semidirect
10. C17×#2712C2semidirect
11. C17×#2710C2semidirect
12. C17×#2710C2semidirect
13. C17×#2708C2semidirect
14. C17×#2706C2semidirect
15. C17×#2702C2semidirect
16. C17×#2701C2semidirect
17. C17×#2676C2semidirect
18. C17×#2671C2semidirect
19. C17×#2662C2semidirect
20. C17×#2654C2semidirect
21. C17×#2560C2semidirect
22. C17×#2555C2semidirect
23. C17×#2477C2semidirect
24. C17×#2474C2semidirect
25. C17×#2468C2semidirect
26. C17×#2464C2semidirect
27. C17×#2458C2semidirect
28. C17×#2448C2semidirect
29. C17×#2334C2semidirect
30. C17×#2324C2semidirect
31. C4×C17×C22⋊Q8C2semidirect
547. #36865C17direct (N × H)
682. #2854C2×C17semidirect
683. #2850C2×C17semidirect
684. #2806C2×C17semidirect
685. #2780C2×C17semidirect
686. #2768C2×C17semidirect
687. #2763C2×C17semidirect
688. #2751C2×C17semidirect
689. #2717C2×C17semidirect
690. #2714C2×C17semidirect
691. #2712C2×C17semidirect
692. #2710C2×C17semidirect
693. #2710C2×C17semidirect
694. #2708C2×C17semidirect
695. #2706C2×C17semidirect
696. #2702C2×C17semidirect
697. #2701C2×C17semidirect
698. #2676C2×C17semidirect
699. #2671C2×C17semidirect
700. #2662C2×C17semidirect
701. #2654C2×C17semidirect
702. #2560C2×C17semidirect
703. #2555C2×C17semidirect
704. #2477C2×C17semidirect
705. #2474C2×C17semidirect
706. #2468C2×C17semidirect
707. #2464C2×C17semidirect
708. #2458C2×C17semidirect
709. #2448C2×C17semidirect
710. #2334C2×C17semidirect
711. #2324C2×C17semidirect
712. C4×C22⋊Q8C2×C17semidirect
1124. C17#36865direct (N × H)

Maximal subgroups

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

subgroupindex
C17×#28542
C17×#28502
C17×#28062
C17×#27802
C17×#27682
C17×#27632
C17×#27512
C17×#27172
C17×#27142
C17×#27122
C17×#27102
C17×#27082
C17×#27062
C17×#27022
C17×#27012
C17×#26762
C17×#26712
C17×#26622
C17×#26542
C17×#25602
C17×#25552
C17×#24772
C17×#24742
C17×#24682
C17×#24642
C17×#24582
C17×#24482
C17×#23342
C17×#23242
C4×C17×C22⋊Q82
#3686517