Finite Group Databasebeta

← C17×#36823 #16894567

Subgroups — C17×#36823 #16894567

Order 4352.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1480 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#2852C211yesmaximal, characteristic, complemented
2C17×#2850C211yesmaximal, characteristic, complemented
3C17×#2806C211yesmaximal, characteristic, complemented
4C17×#2803C211yesmaximal, characteristic, complemented
5C17×#2800C211yesmaximal, characteristic, complemented
6C17×#2788C211yesmaximal, characteristic, complemented
7C17×#2788C211yesmaximal, characteristic, complemented
8C17×#2780C211yesmaximal, characteristic, complemented
9C17×#2779C211yesmaximal, characteristic, complemented
10C17×#2775C211yesmaximal, characteristic, complemented
11C17×#2774C211yesmaximal, characteristic, complemented
12C17×#2770C211yesmaximal, characteristic, complemented
13C17×#2768C211yesmaximal, characteristic, complemented
14C17×#2768C211yesmaximal, characteristic, complemented
15C17×#2727C211yesmaximal, characteristic, complemented
16C17×#2715C211yesmaximal, characteristic, complemented
17C17×#2710C211yesmaximal, characteristic, complemented
18C17×#2695C211yesmaximal, characteristic, complemented
19C17×#2623C211yesmaximal, characteristic, complemented
20C17×#2618C211yesmaximal, characteristic, complemented
21C17×#2488C211yesmaximal, characteristic, complemented
22C17×#2481C211yesmaximal, characteristic, complemented
23C17×#2443C211yesmaximal, characteristic, complemented
24C17×#2438C211yesmaximal, characteristic, complemented
25C17×#2430C211yesmaximal, characteristic
26C17×#2425C211yesmaximal, characteristic, complemented
27C17×#2413C211yesmaximal, characteristic, complemented
28C17×#2406C211yesmaximal, characteristic, complemented
29C17×#2322C211yesmaximal, characteristic, complemented
30C17×#2311C211yesmaximal, characteristic, complemented
31C2×C17×#389C211yesmaximal, characteristic, complemented
32C22×#41×C17C2211yescharacteristic
33C2×C17×#126C2211yescharacteristic
34C2×C17×#126C2211yescharacteristic
35C2×C17×#124C2211yescharacteristic
36C2×C17×#123C2211yescharacteristic
37C2×C17×#123C2211yescharacteristic
38C2×C17×#123C2211yescharacteristic
39C2×C17×#123C2211yescharacteristic
40C2×C17×#123C2211yescharacteristic
41C2×C17×C22⋊Q8C2211yescharacteristic
42C2×C17×#121C2211yescharacteristic
43C2×C17×#121C2211yescharacteristic
44C2×C4×D4×C17C2211yescharacteristic
45C2×C17×#117C2211yescharacteristic
46C22×C4⋊C4×C17C2211yescharacteristic
47C22×C4⋊C4×C17C2211yescharacteristic
48C22×C4⋊C4×C17C2211yescharacteristic
49C22×C4⋊C4×C17C2211yescharacteristic
50C22×C42×C17C2211yescharacteristic
51C17×#400C2211yescharacteristic
52C17×#400C2211yescharacteristic
53C17×#400C2211yescharacteristic
54C17×#400C2211yescharacteristic
55C17×#400C2211yescharacteristic
56C17×#400C2211yescharacteristic
57C17×#400C2211yescharacteristic
58C17×#399C2211yescharacteristic
59C17×#399C2211yescharacteristic
60C17×#399C2211yescharacteristic
61C17×#398C2211yescharacteristic
62C17×#398C2211yescharacteristic
63C17×#398C2211yescharacteristic
64C17×#398C2211yescharacteristic
65C17×#398C2211yescharacteristic
66C17×#398C2211yescharacteristic
67C17×#398C2211yescharacteristic
68C17×#398C2211yescharacteristic
69C17×#398C2211yescharacteristic
70C17×#398C2211yescharacteristic
71C17×#397C2211yescharacteristic
72C17×#397C2211yescharacteristic
73C17×#397C2211yescharacteristic
74C17×#397C2211yescharacteristic
75C17×#397C2211yescharacteristic
76C17×#397C2211yescharacteristic
77C17×#396C2211yescharacteristic
78C17×#396C2211yescharacteristic
79C17×#396C2211yescharacteristic
80C17×#396C2211yescharacteristic
81C17×#396C2211yescharacteristic
82C17×#396C2211yescharacteristic
83C17×#396C2211yescharacteristic
84C17×#396C2211yescharacteristic
85C17×#395C2211yescharacteristic
86C17×#395C2211yescharacteristic
87C17×#395C2211yescharacteristic
88C17×#395C2211yescharacteristic
89C17×#394C2211yescharacteristic
90C17×#394C2211yescharacteristic
91C17×#394C2211yescharacteristic
92C17×#394C2211yescharacteristic
93C17×#394C2211yescharacteristic
94C17×#394C2211yescharacteristic
95C17×#394C2211yescharacteristic
96C17×#393C2211yescharacteristic
97C17×#393C2211yescharacteristic
98C17×#392C2211yescharacteristic
99C17×#391C2211yescharacteristic
100C17×#391C2211yescharacteristic
101C17×#391C2211yescharacteristic
102C17×#391C2211yescharacteristic
103C17×#391C2211yescharacteristic
104C17×#390C2211yescharacteristic
105C17×#390C2211yescharacteristic
106C17×#390C2211yescharacteristic
107C17×#389C2211yescharacteristic
108C17×#389C2211yescharacteristic
109C17×#389C2211yescharacteristic
110C17×#389C2211yescharacteristic
111C17×#389C2211yescharacteristic
112C17×#389C2211yescharacteristic
113C17×#389C2211yescharacteristic
114C17×#389C2211yescharacteristic
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×#387C2211yescharacteristic
138C17×#387C2211yescharacteristic
139C17×#387C2211yescharacteristic
140C17×#387C2211yescharacteristic
141C17×#387C2211yescharacteristic
142C17×#387C2211yescharacteristic
143C17×#387C2211yescharacteristic
144C17×#387C2211yescharacteristic
145C17×#387C2211yescharacteristic
146C17×#387C2211yescharacteristic
147C17×#386C2211yescharacteristic
148C17×#386C2211yescharacteristic
149C17×#386C2211yescharacteristic
150C17×#386C2211yescharacteristic
151C17×#386C2211yescharacteristic
152C17×#386C2211yescharacteristic
153C17×#386C2211yescharacteristic
154C17×#386C2211yescharacteristic
155C17×#386C2211yescharacteristic
156C17×#386C2211yescharacteristic
157C17×#386C2211yescharacteristic
158C17×#386C2211yescharacteristic
159C17×#386C2211yescharacteristic
160C17×#385C2211yescharacteristic
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×#383C2211yescharacteristic
174C17×#382C2211yescharacteristic
175C17×#382C2211yescharacteristic
176C17×#381C2211yescharacteristic
177C17×#381C2211yescharacteristic
178C17×#380C2211yescharacteristic
179C17×#380C2211yescharacteristic
180C17×#380C2211yescharacteristic
181C17×#380C2211yescharacteristic
182C17×#380C2211yescharacteristic
183C17×#380C2211yescharacteristic
184C4×C22⋊C4×C17C2211yescharacteristic
185C2×C17×#95C2211yescharacteristic
186C2×C17×#95C2211yescharacteristic
187C2×#41×C17—24no—
188C2×#41×C17—42no—
189C2×#41×C17—42no—
190C22×Q8×C17C2311yescharacteristic
191C22×Q8×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C23×C4×C17C2311yescharacteristic
202C23×C4×C17C2311yescharacteristic
203C23×C4×C17C2311yescharacteristic
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C17×#126—42no—
209C17×#126—42no—
210C17×#124—42no—
211C17×#123—24no—
212C17×#123—42no—
213C17×#123—42no—
214C17×#123—42no—
215C17×#123—42no—
216C17×C22⋊Q8—42no—
217C17×#121—42no—
218C17×#121—42no—
219C4×D4×C17—42no—
220C17×#117—42no—
221C2×C4⋊C4×C17—24no—
222C2×C4⋊C4×C17—42no—
223C2×C4⋊C4×C17—42no—
224C2×C4⋊C4×C17—42no—
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
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×C4⋊C4×C17C2311yescharacteristic
261C2×C4⋊C4×C17C2311yescharacteristic
262C2×C4⋊C4×C17C2311yescharacteristic
263C2×C4⋊C4×C17C2311yescharacteristic
264C2×C4⋊C4×C17C2311yescharacteristic
265C2×C4⋊C4×C17C2311yescharacteristic
266C2×C4⋊C4×C17C2311yescharacteristic
267C2×C22⋊C4×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×C42×C17—42no—
306C2×C42×C17C2311yescharacteristic
307C2×C42×C17C2311yescharacteristic
308C2×C42×C17C2311yescharacteristic
309C2×C42×C17C2311yescharacteristic
310C2×C42×C17C2311yescharacteristic
311C2×C42×C17C2311yescharacteristic
312C2×C42×C17C2311yescharacteristic
313C2×C42×C17C2311yescharacteristic
314C2×C42×C17C2311yescharacteristic
315C17×#95C2311yescharacteristic
316C17×#95C2311yescharacteristic
317C17×#95C2311yescharacteristic
318C17×#95C2311yescharacteristic
319C17×#95C2311yescharacteristic
320C17×#95C2311yescharacteristic
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
367#41×C17—416no—
368C2×Q8×C17—22no—
369C2×Q8×C17—22no—
370C2×Q8×C17—41no—
371C2×Q8×C17—41no—
372C2×Q8×C17—41no—
373C2×Q8×C17—41no—
374C2×D4×C17—22no—
375C2×D4×C17—22no—
376C2×D4×C17—22no—
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—
392C22×C4×C17—22no—
393C22×C4×C17—22no—
394C22×C4×C17—22no—
395C22×C4×C17—22no—
396C22×C4×C17—22no—
397C22×C4×C17—22no—
398C22×C4×C17—22no—
399C22×C4×C17—22no—
400C22×C4×C17—22no—
401C22×C4×C17—22no—
402C22×C4×C17—22no—
403C22×C4×C17—22no—
404C22×C4×C17—22no—
405C22×C4×C17—22no—
406C22×C4×C17—22no—
407C22×C4×C17—41no—
408C22×C4×C17—41no—
409C22×C4×C17—41no—
410C22×C4×C17—41no—
411C22×C4×C17—41no—
412C22×C4×C17—41no—
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#4114yes—
422C22×C4×C17C2411yescharacteristic
423C22×C4×C17C2411yescharacteristic
424C22×C4×C17C2411yescharacteristic
425C22×C4×C17C2411yescharacteristic
426C22×C4×C17C2411yescharacteristic
427C22×C4×C17C2411yescharacteristic
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
449C4⋊C4×C17—22no—
450C4⋊C4×C17—22no—
451C4⋊C4×C17—22no—
452C4⋊C4×C17—22no—
453C4⋊C4×C17—22no—
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—41no—
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—41no—
487C4⋊C4×C17—41no—
488C4⋊C4×C17—41no—
489C4⋊C4×C17—41no—
490C4⋊C4×C17—41no—
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—41no—
506C22⋊C4×C17—41no—
507C22⋊C4×C17—41no—
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—
529C42×C17—22no—
530C42×C17—22no—
531C42×C17—41no—
532C42×C17—41no—
533C42×C17—41no—
534C42×C17—41no—
535C42×C17—41no—
536C42×C17—41no—
537C42×C17—41no—
538#36823C1711yesmaximal, characteristic, direct product factor, Sylow
539C23×C17—21no—
540C23×C17—21no—
541C23×C17—21no—
542C23×C17—21no—
543C23×C17—21no—
544C23×C17—21no—
545C23×C17—21no—
546C23×C17—21no—
547C23×C17—21no—
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×C17C2×#4112yes—
565C23×C17H(5,𝔽2)12yes—
566C23×C17H(5,𝔽2)12yes—
567C23×C17C2511yescharacteristic
568Q8×C17—44no—
569Q8×C17—82no—
570D4×C17—44no—
571D4×C17—44no—
572D4×C17—44no—
573D4×C17—44no—
574D4×C17—82no—
575D4×C17—82no—
576C2×C4×C17—28no—
577C2×C4×C17—28no—
578C2×C4×C17—21no—
579C2×C4×C17—21no—
580C2×C4×C17—21no—
581C2×C4×C17—21no—
582C2×C4×C17—21no—
583C2×C4×C17—21no—
584C2×C4×C17—21no—
585C2×C4×C17—21no—
586C2×C4×C17—21no—
587C2×C4×C17—21no—
588C2×C4×C17—21no—
589C2×C4×C17—21no—
590C2×C4×C17—21no—
591C2×C4×C17—21no—
592C2×C4×C17—21no—
593C2×C4×C17—21no—
594C2×C4×C17—21no—
595C2×C4×C17—21no—
596C2×C4×C17—21no—
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—44no—
655C2×C4×C17—44no—
656C2×C4×C17—44no—
657C2×C4×C17—44no—
658C2×C4×C17—44no—
659C2×C4×C17—82no—
660C2×C4×C17—82no—
661C2×C4×C17—82no—
662C2×C4×C17C2×#4112yes—
663C2×C4×C17C2×#4112yes—
664C2×C4×C17H(5,𝔽2)12yes—
665C2×C4×C172−1+412yes—
666C2×C4×C172−1+412yes—
667#2852C2×C1711yescharacteristic, complemented
668#2850C2×C1711yescharacteristic, complemented
669#2806C2×C1711yescharacteristic, complemented
670#2803C2×C1711yescharacteristic, complemented
671#2800C2×C1711yescharacteristic, complemented
672#2788C2×C1711yescharacteristic, complemented
673#2788C2×C1711yescharacteristic, complemented
674#2780C2×C1711yescharacteristic, complemented
675#2779C2×C1711yescharacteristic, complemented
676#2775C2×C1711yescharacteristic, complemented
677#2774C2×C1711yescharacteristic, complemented
678#2770C2×C1711yescharacteristic, complemented
679#2768C2×C1711yescharacteristic, complemented
680#2768C2×C1711yescharacteristic, complemented
681#2727C2×C1711yescharacteristic, complemented
682#2715C2×C1711yescharacteristic, complemented
683#2710C2×C1711yescharacteristic, complemented
684#2695C2×C1711yescharacteristic, complemented
685#2623C2×C1711yescharacteristic, complemented
686#2618C2×C1711yescharacteristic, complemented
687#2488C2×C1711yescharacteristic, complemented
688#2481C2×C1711yescharacteristic, complemented
689#2443C2×C1711yescharacteristic, complemented
690#2438C2×C1711yescharacteristic, complemented
691#2430C2×C1711yescharacteristic
692#2425C2×C1711yescharacteristic, complemented
693#2413C2×C1711yescharacteristic, complemented
694#2406C2×C1711yescharacteristic, complemented
695#2322C2×C1711yescharacteristic, complemented
696#2311C2×C1711yescharacteristic, complemented
697C2×#389C2×C1711yescharacteristic, complemented
698C22×C17—22no—
699C22×C17—22no—
700C22×C17—22no—
701C22×C17—22no—
702C22×C17—22no—
703C22×C17—22no—
704C22×C17—41no—
705C22×C17—41no—
706C22×C17—41no—
707C22×C17—41no—
708C22×C17—41no—
709C22×C17—41no—
710C22×C17—41no—
711C22×C17—41no—
712C22×C17—41no—
713C22×C17—41no—
714C22×C17—41no—
715C22×C17—41no—
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#53814yes—
726C22×C17C22×#4111yescharacteristic
727C22×C17C2×H(5,𝔽2)11yescharacteristic
728C22×C17C2×H(5,𝔽2)11yescharacteristic
729C22×C17C2×H(5,𝔽2)11yescharacteristic
730C22×C17C2×2−1+411yescharacteristic
731C22×C17C2×2−1+411yescharacteristic
732C22×C17#58511yescharacteristic
733C4×C17—22no—
734C4×C17—22no—
735C4×C17—22no—
736C4×C17—22no—
737C4×C17—22no—
738C4×C17—41no—
739C4×C17—41no—
740C4×C17—41no—
741C4×C17—41no—
742C4×C17—41no—
743C4×C17—41no—
744C4×C17—41no—
745C4×C17—41no—
746C4×C17—41no—
747C4×C17—41no—
748C4×C17—41no—
749C4×C17—41no—
750C4×C17—41no—
751C4×C17—41no—
752C4×C17—41no—
753C4×C17—41no—
754C4×C17—41no—
755C4×C17—41no—
756C4×C17—41no—
757C4×C17—41no—
758C4×C17—41no—
759C4×C17—41no—
760C22×#41C22×C1711yescharacteristic
761C2×#126C22×C1711yescharacteristic
762C2×#126C22×C1711yescharacteristic
763C2×#124C22×C1711yescharacteristic
764C2×#123C22×C1711yescharacteristic
765C2×#123C22×C1711yescharacteristic
766C2×#123C22×C1711yescharacteristic
767C2×#123C22×C1711yescharacteristic
768C2×#123C22×C1711yescharacteristic
769C2×C22⋊Q8C22×C1711yescharacteristic
770C2×#121C22×C1711yescharacteristic
771C2×#121C22×C1711yescharacteristic
772C2×C4×D4C22×C1711yescharacteristic
773C2×#117C22×C1711yescharacteristic
774C22×C4⋊C4C22×C1711yescharacteristic
775C22×C4⋊C4C22×C1711yescharacteristic
776C22×C4⋊C4C22×C1711yescharacteristic
777C22×C4⋊C4C22×C1711yescharacteristic
778C22×C42C22×C1711yescharacteristic
779#400C22×C1711yescharacteristic
780#400C22×C1711yescharacteristic
781#400C22×C1711yescharacteristic
782#400C22×C1711yescharacteristic
783#400C22×C1711yescharacteristic
784#400C22×C1711yescharacteristic
785#400C22×C1711yescharacteristic
786#399C22×C1711yescharacteristic
787#399C22×C1711yescharacteristic
788#399C22×C1711yescharacteristic
789#398C22×C1711yescharacteristic
790#398C22×C1711yescharacteristic
791#398C22×C1711yescharacteristic
792#398C22×C1711yescharacteristic
793#398C22×C1711yescharacteristic
794#398C22×C1711yescharacteristic
795#398C22×C1711yescharacteristic
796#398C22×C1711yescharacteristic
797#398C22×C1711yescharacteristic
798#398C22×C1711yescharacteristic
799#397C22×C1711yescharacteristic
800#397C22×C1711yescharacteristic
801#397C22×C1711yescharacteristic
802#397C22×C1711yescharacteristic
803#397C22×C1711yescharacteristic
804#397C22×C1711yescharacteristic
805#396C22×C1711yescharacteristic
806#396C22×C1711yescharacteristic
807#396C22×C1711yescharacteristic
808#396C22×C1711yescharacteristic
809#396C22×C1711yescharacteristic
810#396C22×C1711yescharacteristic
811#396C22×C1711yescharacteristic
812#396C22×C1711yescharacteristic
813#395C22×C1711yescharacteristic
814#395C22×C1711yescharacteristic
815#395C22×C1711yescharacteristic
816#395C22×C1711yescharacteristic
817#394C22×C1711yescharacteristic
818#394C22×C1711yescharacteristic
819#394C22×C1711yescharacteristic
820#394C22×C1711yescharacteristic
821#394C22×C1711yescharacteristic
822#394C22×C1711yescharacteristic
823#394C22×C1711yescharacteristic
824#393C22×C1711yescharacteristic
825#393C22×C1711yescharacteristic
826#392C22×C1711yescharacteristic
827#391C22×C1711yescharacteristic
828#391C22×C1711yescharacteristic
829#391C22×C1711yescharacteristic
830#391C22×C1711yescharacteristic
831#391C22×C1711yescharacteristic
832#390C22×C1711yescharacteristic
833#390C22×C1711yescharacteristic
834#390C22×C1711yescharacteristic
835#389C22×C1711yescharacteristic
836#389C22×C1711yescharacteristic
837#389C22×C1711yescharacteristic
838#389C22×C1711yescharacteristic
839#389C22×C1711yescharacteristic
840#389C22×C1711yescharacteristic
841#389C22×C1711yescharacteristic
842#389C22×C1711yescharacteristic
843#389C22×C1711yescharacteristic
844#389C22×C1711yescharacteristic
845#389C22×C1711yescharacteristic
846#389C22×C1711yescharacteristic
847#389C22×C1711yescharacteristic
848#389C22×C1711yescharacteristic
849#388C22×C1711yescharacteristic
850#388C22×C1711yescharacteristic
851#388C22×C1711yescharacteristic
852#388C22×C1711yescharacteristic
853#388C22×C1711yescharacteristic
854#388C22×C1711yescharacteristic
855#388C22×C1711yescharacteristic
856#388C22×C1711yescharacteristic
857#388C22×C1711yescharacteristic
858#388C22×C1711yescharacteristic
859#388C22×C1711yescharacteristic
860#388C22×C1711yescharacteristic
861#388C22×C1711yescharacteristic
862#388C22×C1711yescharacteristic
863#388C22×C1711yescharacteristic
864#388C22×C1711yescharacteristic
865#387C22×C1711yescharacteristic
866#387C22×C1711yescharacteristic
867#387C22×C1711yescharacteristic
868#387C22×C1711yescharacteristic
869#387C22×C1711yescharacteristic
870#387C22×C1711yescharacteristic
871#387C22×C1711yescharacteristic
872#387C22×C1711yescharacteristic
873#387C22×C1711yescharacteristic
874#387C22×C1711yescharacteristic
875#386C22×C1711yescharacteristic
876#386C22×C1711yescharacteristic
877#386C22×C1711yescharacteristic
878#386C22×C1711yescharacteristic
879#386C22×C1711yescharacteristic
880#386C22×C1711yescharacteristic
881#386C22×C1711yescharacteristic
882#386C22×C1711yescharacteristic
883#386C22×C1711yescharacteristic
884#386C22×C1711yescharacteristic
885#386C22×C1711yescharacteristic
886#386C22×C1711yescharacteristic
887#386C22×C1711yescharacteristic
888#385C22×C1711yescharacteristic
889#385C22×C1711yescharacteristic
890#385C22×C1711yescharacteristic
891#385C22×C1711yescharacteristic
892#385C22×C1711yescharacteristic
893#385C22×C1711yescharacteristic
894#385C22×C1711yescharacteristic
895#385C22×C1711yescharacteristic
896#385C22×C1711yescharacteristic
897#385C22×C1711yescharacteristic
898#385C22×C1711yescharacteristic
899#385C22×C1711yescharacteristic
900#385C22×C1711yescharacteristic
901#383C22×C1711yescharacteristic
902#382C22×C1711yescharacteristic
903#382C22×C1711yescharacteristic
904#381C22×C1711yescharacteristic
905#381C22×C1711yescharacteristic
906#380C22×C1711yescharacteristic
907#380C22×C1711yescharacteristic
908#380C22×C1711yescharacteristic
909#380C22×C1711yescharacteristic
910#380C22×C1711yescharacteristic
911#380C22×C1711yescharacteristic
912C4×C22⋊C4C22×C1711yescharacteristic
913C2×#95C22×C1711yescharacteristic
914C2×#95C22×C1711yescharacteristic
915C2×C17—24no—
916C2×C17—81no—
917C2×C17—81no—
918C2×C17—81no—
919C2×C17C2×#53811yescharacteristic
920C2×C17#349211yescharacteristic
921C2×C17#350711yescharacteristic
922C2×C17#353611yescharacteristic
923C2×C17#354211yescharacteristic
924C2×C17#354411yescharacteristic
925C2×C17#355911yescharacteristic
926C2×#41—24no—
927C2×#41—42no—
928C2×#41—42no—
929C22×Q8C23×C1711yescharacteristic
930C22×Q8C23×C1711yescharacteristic
931C22×D4C23×C1711yescharacteristic
932C22×D4C23×C1711yescharacteristic
933C22×D4C23×C1711yescharacteristic
934C22×D4C23×C1711yescharacteristic
935C22×D4C23×C1711yescharacteristic
936C22×D4C23×C1711yescharacteristic
937C23×C4C23×C1711yescharacteristic
938C23×C4C23×C1711yescharacteristic
939C23×C4C23×C1711yescharacteristic
940C23×C4C23×C1711yescharacteristic
941C23×C4C23×C1711yescharacteristic
942C23×C4C23×C1711yescharacteristic
943C23×C4C23×C1711yescharacteristic
944C23×C4C23×C1711yescharacteristic
945C23×C4C23×C1711yescharacteristic
946C23×C4C23×C1711yescharacteristic
947#126—42no—
948#126—42no—
949#124—42no—
950#123—24no—
951#123—42no—
952#123—42no—
953#123—42no—
954#123—42no—
955C22⋊Q8—42no—
956#121—42no—
957#121—42no—
958C4×D4—42no—
959#117—42no—
960C2×C4⋊C4—24no—
961C2×C4⋊C4—42no—
962C2×C4⋊C4—42no—
963C2×C4⋊C4—42no—
964C2×C4⋊C4C23×C1711yescharacteristic
965C2×C4⋊C4C23×C1711yescharacteristic
966C2×C4⋊C4C23×C1711yescharacteristic
967C2×C4⋊C4C23×C1711yescharacteristic
968C2×C4⋊C4C23×C1711yescharacteristic
969C2×C4⋊C4C23×C1711yescharacteristic
970C2×C4⋊C4C23×C1711yescharacteristic
971C2×C4⋊C4C23×C1711yescharacteristic
972C2×C4⋊C4C23×C1711yescharacteristic
973C2×C4⋊C4C23×C1711yescharacteristic
974C2×C4⋊C4C23×C1711yescharacteristic
975C2×C4⋊C4C23×C1711yescharacteristic
976C2×C4⋊C4C23×C1711yescharacteristic
977C2×C4⋊C4C23×C1711yescharacteristic
978C2×C4⋊C4C23×C1711yescharacteristic
979C2×C4⋊C4C23×C1711yescharacteristic
980C2×C4⋊C4C23×C1711yescharacteristic
981C2×C4⋊C4C23×C1711yescharacteristic
982C2×C4⋊C4C23×C1711yescharacteristic
983C2×C4⋊C4C23×C1711yescharacteristic
984C2×C4⋊C4C23×C1711yescharacteristic
985C2×C4⋊C4C23×C1711yescharacteristic
986C2×C4⋊C4C23×C1711yescharacteristic
987C2×C4⋊C4C23×C1711yescharacteristic
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×C22⋊C4C23×C1711yescharacteristic
1007C2×C22⋊C4C23×C1711yescharacteristic
1008C2×C22⋊C4C23×C1711yescharacteristic
1009C2×C22⋊C4C23×C1711yescharacteristic
1010C2×C22⋊C4C23×C1711yescharacteristic
1011C2×C22⋊C4C23×C1711yescharacteristic
1012C2×C22⋊C4C23×C1711yescharacteristic
1013C2×C22⋊C4C23×C1711yescharacteristic
1014C2×C22⋊C4C23×C1711yescharacteristic
1015C2×C22⋊C4C23×C1711yescharacteristic
1016C2×C22⋊C4C23×C1711yescharacteristic
1017C2×C22⋊C4C23×C1711yescharacteristic
1018C2×C22⋊C4C23×C1711yescharacteristic
1019C2×C22⋊C4C23×C1711yescharacteristic
1020C2×C22⋊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×C42—42no—
1045C2×C42C23×C1711yescharacteristic
1046C2×C42C23×C1711yescharacteristic
1047C2×C42C23×C1711yescharacteristic
1048C2×C42C23×C1711yescharacteristic
1049C2×C42C23×C1711yescharacteristic
1050C2×C42C23×C1711yescharacteristic
1051C2×C42C23×C1711yescharacteristic
1052C2×C42C23×C1711yescharacteristic
1053C2×C42C23×C1711yescharacteristic
1054#95C23×C1711yescharacteristic
1055#95C23×C1711yescharacteristic
1056#95C23×C1711yescharacteristic
1057#95C23×C1711yescharacteristic
1058#95C23×C1711yescharacteristic
1059#95C23×C1711yescharacteristic
1060#95C23×C1711yescharacteristic
1061#95C23×C1711yescharacteristic
1062#95C23×C1711yescharacteristic
1063#95C23×C1711yescharacteristic
1064#95C23×C1711yescharacteristic
1065#95C23×C1711yescharacteristic
1066#95C23×C1711yescharacteristic
1067#95C23×C1711yescharacteristic
1068#95C23×C1711yescharacteristic
1069#95C23×C1711yescharacteristic
1070#95C23×C1711yescharacteristic
1071#95C23×C1711yescharacteristic
1072#95C23×C1711yescharacteristic
1073#95C23×C1711yescharacteristic
1074#95C23×C1711yescharacteristic
1075#95C23×C1711yescharacteristic
1076#95C23×C1711yescharacteristic
1077#95C23×C1711yescharacteristic
1078#95C23×C1711yescharacteristic
1079#95C23×C1711yescharacteristic
1080#95C23×C1711yescharacteristic
1081#95C23×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
1102C17#3682311yescharacteristic, direct product factor, Sylow
1103C24C24×C1711yescharacteristic
1104C24C24×C1711yescharacteristic
1105C24C24×C1711yescharacteristic
1106C24C24×C1711yescharacteristic
1107#41—416no—
1108C2×Q8—22no—
1109C2×Q8—22no—
1110C2×Q8—41no—
1111C2×Q8—41no—
1112C2×Q8—41no—
1113C2×Q8—41no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4#41×C1714yes—
1162C22×C4C24×C1711yescharacteristic
1163C22×C4C24×C1711yescharacteristic
1164C22×C4C24×C1711yescharacteristic
1165C22×C4C24×C1711yescharacteristic
1166C22×C4C24×C1711yescharacteristic
1167C22×C4C24×C1711yescharacteristic
1168C22×C4C24×C1711yescharacteristic
1169C22×C4C24×C1711yescharacteristic
1170C22×C4C24×C1711yescharacteristic
1171C22×C4C24×C1711yescharacteristic
1172C22×C4C24×C1711yescharacteristic
1173C22×C4C24×C1711yescharacteristic
1174C22×C4C24×C1711yescharacteristic
1175C22×C4C24×C1711yescharacteristic
1176C22×C4C24×C1711yescharacteristic
1177C22×C4C24×C1711yescharacteristic
1178C22×C4C24×C1711yescharacteristic
1179C22×C4C24×C1711yescharacteristic
1180C22×C4C24×C1711yescharacteristic
1181C22×C4C24×C1711yescharacteristic
1182C22×C4C24×C1711yescharacteristic
1183C22×C4C24×C1711yescharacteristic
1184C22×C4C24×C1711yescharacteristic
1185C22×C4C24×C1711yescharacteristic
1186C22×C4C24×C1711yescharacteristic
1187C22×C4C24×C1711yescharacteristic
1188C22×C4C24×C1711yescharacteristic
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C42—22no—
1270C42—22no—
1271C42—41no—
1272C42—41no—
1273C42—41no—
1274C42—41no—
1275C42—41no—
1276C42—41no—
1277C42—41no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23C2×#41×C1712yes—
1304C23C17×H(5,𝔽2)12yes—
1305C23C17×H(5,𝔽2)12yes—
1306C23C25×C1711yescharacteristic
1307Q8—44no—
1308Q8—82no—
1309D4—44no—
1310D4—44no—
1311D4—44no—
1312D4—44no—
1313D4—82no—
1314D4—82no—
1315C2×C4—28no—
1316C2×C4—28no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
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—44no—
1394C2×C4—44no—
1395C2×C4—44no—
1396C2×C4—44no—
1397C2×C4—44no—
1398C2×C4—82no—
1399C2×C4—82no—
1400C2×C4—82no—
1401C2×C4C2×#41×C1712yes—
1402C2×C4C2×#41×C1712yes—
1403C2×C4C17×H(5,𝔽2)12yes—
1404C2×C4C17×2−1+412yes—
1405C2×C4C17×2−1+412yes—
1406C22—22no—
1407C22—22no—
1408C22—22no—
1409C22—22no—
1410C22—22no—
1411C22—22no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22C17×#53814yes—
1434C22C22×#41×C1711yescharacteristic
1435C22C2×C17×H(5,𝔽2)11yescharacteristic
1436C22C2×C17×H(5,𝔽2)11yescharacteristic
1437C22C2×C17×H(5,𝔽2)11yescharacteristic
1438C22C2×C17×2−1+411yescharacteristic
1439C22C2×C17×2−1+411yescharacteristic
1440C22C17×#58511yescharacteristic
1441C4—22no—
1442C4—22no—
1443C4—22no—
1444C4—22no—
1445C4—22no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C2—24no—
1469C2—81no—
1470C2—81no—
1471C2—81no—
1472C2C2×C17×#53811yescharacteristic
1473C2C17×#349211yescharacteristic
1474C2C17×#350711yescharacteristic
1475C2C17×#353611yescharacteristic
1476C2C17×#354211yescharacteristic
1477C2C17×#354411yescharacteristic
1478C2C17×#355911yescharacteristic
subgroupG/H
center, socleC23×C17C25
commutator, Frattini, cosocleC23C25×C17
prime radicalC17×#2430C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C17 ◁ G

Complements

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

NH ≅ G/Ntype
1. C17×#2852C2semidirect
2. C17×#2850C2semidirect
3. C17×#2806C2semidirect
4. C17×#2803C2semidirect
5. C17×#2800C2semidirect
6. C17×#2788C2semidirect
7. C17×#2788C2semidirect
8. C17×#2780C2semidirect
9. C17×#2779C2semidirect
10. C17×#2775C2semidirect
11. C17×#2774C2semidirect
12. C17×#2770C2semidirect
13. C17×#2768C2semidirect
14. C17×#2768C2semidirect
15. C17×#2727C2semidirect
16. C17×#2715C2semidirect
17. C17×#2710C2semidirect
18. C17×#2695C2semidirect
19. C17×#2623C2semidirect
20. C17×#2618C2semidirect
21. C17×#2488C2semidirect
22. C17×#2481C2semidirect
23. C17×#2443C2semidirect
24. C17×#2438C2semidirect
26. C17×#2425C2semidirect
27. C17×#2413C2semidirect
28. C17×#2406C2semidirect
29. C17×#2322C2semidirect
30. C17×#2311C2semidirect
31. C2×C17×#389C2semidirect
538. #36823C17direct (N × H)
667. #2852C2×C17semidirect
668. #2850C2×C17semidirect
669. #2806C2×C17semidirect
670. #2803C2×C17semidirect
671. #2800C2×C17semidirect
672. #2788C2×C17semidirect
673. #2788C2×C17semidirect
674. #2780C2×C17semidirect
675. #2779C2×C17semidirect
676. #2775C2×C17semidirect
677. #2774C2×C17semidirect
678. #2770C2×C17semidirect
679. #2768C2×C17semidirect
680. #2768C2×C17semidirect
681. #2727C2×C17semidirect
682. #2715C2×C17semidirect
683. #2710C2×C17semidirect
684. #2695C2×C17semidirect
685. #2623C2×C17semidirect
686. #2618C2×C17semidirect
687. #2488C2×C17semidirect
688. #2481C2×C17semidirect
689. #2443C2×C17semidirect
690. #2438C2×C17semidirect
692. #2425C2×C17semidirect
693. #2413C2×C17semidirect
694. #2406C2×C17semidirect
695. #2322C2×C17semidirect
696. #2311C2×C17semidirect
697. C2×#389C2×C17semidirect
1102. C17#36823direct (N × H)

Maximal subgroups

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

subgroupindex
C17×#28522
C17×#28502
C17×#28062
C17×#28032
C17×#28002
C17×#27882
C17×#27802
C17×#27792
C17×#27752
C17×#27742
C17×#27702
C17×#27682
C17×#27272
C17×#27152
C17×#27102
C17×#26952
C17×#26232
C17×#26182
C17×#24882
C17×#24812
C17×#24432
C17×#24382
C17×#24302
C17×#24252
C17×#24132
C17×#24062
C17×#23222
C17×#23112
C2×C17×#3892
#3682317