Finite Group Databasebeta

← C17×#36841 #16894585

Subgroups — C17×#36841 #16894585

Order 4352.

1958 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#2849C211yesmaximal, characteristic, complemented
2C17×#2849C211yesmaximal, characteristic, complemented
3C17×#2790C211yesmaximal, characteristic, complemented
4C17×#2778C211yesmaximal, characteristic, complemented
5C17×#2765C211yesmaximal, characteristic, complemented
6C17×#2761C211yesmaximal, characteristic, complemented
7C17×#2753C211yesmaximal, characteristic, complemented
8C17×#2752C211yesmaximal, characteristic, complemented
9C17×#2743C211yesmaximal, characteristic, complemented
10C17×#2718C211yesmaximal, characteristic, complemented
11C17×#2709C211yesmaximal, characteristic, complemented
12C17×#2706C211yesmaximal, characteristic, complemented
13C17×#2701C211yesmaximal, characteristic, complemented
14C17×#2697C211yesmaximal, characteristic, complemented
15C17×#2691C211yesmaximal, characteristic, complemented
16C17×#2685C211yesmaximal, characteristic, complemented
17C17×#2685C211yesmaximal, characteristic, complemented
18C17×#2669C211yesmaximal, characteristic
19C17×#2636C211yesmaximal, characteristic, complemented
20C17×#2630C211yesmaximal, characteristic, complemented
21C17×#2576C211yesmaximal, characteristic, complemented
22C17×#2575C211yesmaximal, characteristic, complemented
23C17×#2554C211yesmaximal, characteristic, complemented
24C17×#2553C211yesmaximal, characteristic, complemented
25C17×#2468C211yesmaximal, characteristic, complemented
26C17×#2457C211yesmaximal, characteristic, complemented
27C17×#2445C211yesmaximal, characteristic, complemented
28C17×#2422C211yesmaximal, characteristic, complemented
29C17×#2334C211yesmaximal, characteristic, complemented
30C17×#2333C211yesmaximal, characteristic, complemented
31C4×C17×#120C211yesmaximal, characteristic, complemented
32C24×C4×C17C2211yescharacteristic
33C2×C17×#127C2211yescharacteristic
34C2×C17×#126C2211yescharacteristic
35C2×C17×#126C2211yescharacteristic
36C2×C17×#126C2211yescharacteristic, complemented
37C2×C17×#123C2211yescharacteristic
38C2×C17×#123C2211yescharacteristic
39C2×C17×#123C2211yescharacteristic
40C2×C17×#123C2211yescharacteristic
41C2×C17×#123C2211yescharacteristic
42C2×C17×#123C2211yescharacteristic, complemented
43C2×C17×#121C2211yescharacteristic
44C2×C17×#121C2211yescharacteristic
45C2×C17×#120C2211yescharacteristic
46C2×C17×#120C2211yescharacteristic
47C2×C17×#120C2211yescharacteristic
48C2×C4×D4×C17C2211yescharacteristic
49C2×C4×D4×C17C2211yescharacteristic
50C2×C4×D4×C17C2211yescharacteristic
51C17×#401C2211yescharacteristic, complemented
52C17×#400C2211yescharacteristic, complemented
53C17×#400C2211yescharacteristic, complemented
54C17×#400C2211yescharacteristic, complemented
55C17×#400C2211yescharacteristic, complemented
56C17×#399C2211yescharacteristic
57C17×#399C2211yescharacteristic
58C17×#399C2211yescharacteristic, complemented
59C17×#398C2211yescharacteristic, complemented
60C17×#398C2211yescharacteristic, complemented
61C17×#398C2211yescharacteristic, complemented
62C17×#398C2211yescharacteristic, complemented
63C17×#398C2211yescharacteristic, complemented
64C17×#397C2211yescharacteristic
65C17×#397C2211yescharacteristic
66C17×#397C2211yescharacteristic, complemented
67C17×#397C2211yescharacteristic, complemented
68C17×#397C2211yescharacteristic, complemented
69C17×#397C2211yescharacteristic, complemented
70C17×#396C2211yescharacteristic
71C17×#396C2211yescharacteristic
72C17×#396C2211yescharacteristic
73C17×#396C2211yescharacteristic
74C17×#396C2211yescharacteristic, complemented
75C17×#396C2211yescharacteristic, complemented
76C17×#396C2211yescharacteristic, complemented
77C17×#394C2211yescharacteristic
78C17×#394C2211yescharacteristic
79C17×#394C2211yescharacteristic
80C17×#394C2211yescharacteristic
81C17×#394C2211yescharacteristic
82C17×#394C2211yescharacteristic
83C17×#394C2211yescharacteristic
84C17×#394C2211yescharacteristic
85C17×#394C2211yescharacteristic
86C17×#394C2211yescharacteristic
87C17×#394C2211yescharacteristic
88C17×#394C2211yescharacteristic
89C17×#394C2211yescharacteristic, complemented
90C17×#394C2211yescharacteristic, complemented
91C17×#394C2211yescharacteristic, complemented
92C17×#394C2211yescharacteristic, complemented
93C17×#394C2211yescharacteristic, complemented
94C17×#394C2211yescharacteristic, complemented
95C17×#392C2211yescharacteristic
96C17×#392C2211yescharacteristic
97C17×#392C2211yescharacteristic
98C17×#392C2211yescharacteristic
99C17×#390C2211yescharacteristic
100C17×#390C2211yescharacteristic
101C17×#390C2211yescharacteristic
102C17×#390C2211yescharacteristic
103C17×#390C2211yescharacteristic
104C17×#390C2211yescharacteristic, complemented
105C17×#390C2211yescharacteristic, complemented
106C17×#389C2211yescharacteristic, complemented
107C17×#389C2211yescharacteristic, complemented
108C17×#389C2211yescharacteristic, complemented
109C17×#388C2211yescharacteristic
110C17×#388C2211yescharacteristic
111C17×#388C2211yescharacteristic
112C17×#388C2211yescharacteristic
113C17×#388C2211yescharacteristic
114C17×#388C2211yescharacteristic
115C17×#388C2211yescharacteristic
116C17×#388C2211yescharacteristic
117C17×#388C2211yescharacteristic
118C17×#388C2211yescharacteristic
119C17×#388C2211yescharacteristic, complemented
120C17×#388C2211yescharacteristic, complemented
121C17×#388C2211yescharacteristic, complemented
122C17×#388C2211yescharacteristic, complemented
123C17×#388C2211yescharacteristic, complemented
124C17×#388C2211yescharacteristic, complemented
125C17×#388C2211yescharacteristic, complemented
126C17×#387C2211yescharacteristic, complemented
127C17×#387C2211yescharacteristic, complemented
128C17×#387C2211yescharacteristic, complemented
129C17×#387C2211yescharacteristic, complemented
130C17×#387C2211yescharacteristic, complemented
131C17×#387C2211yescharacteristic, complemented
132C17×#387C2211yescharacteristic, complemented
133C17×#387C2211yescharacteristic, complemented
134C17×#387C2211yescharacteristic, complemented
135C17×#386C2211yescharacteristic
136C17×#386C2211yescharacteristic
137C17×#386C2211yescharacteristic
138C17×#386C2211yescharacteristic
139C17×#386C2211yescharacteristic
140C17×#386C2211yescharacteristic
141C17×#386C2211yescharacteristic
142C17×#386C2211yescharacteristic
143C17×#386C2211yescharacteristic
144C17×#386C2211yescharacteristic
145C17×#386C2211yescharacteristic
146C17×#386C2211yescharacteristic
147C17×#386C2211yescharacteristic
148C17×#386C2211yescharacteristic
149C17×#386C2211yescharacteristic, complemented
150C17×#386C2211yescharacteristic, complemented
151C17×#386C2211yescharacteristic, complemented
152C17×#385C2211yescharacteristic
153C17×#385C2211yescharacteristic
154C17×#385C2211yescharacteristic
155C17×#385C2211yescharacteristic
156C17×#385C2211yescharacteristic
157C17×#385C2211yescharacteristic
158C17×#385C2211yescharacteristic
159C17×#385C2211yescharacteristic
160C17×#385C2211yescharacteristic
161C17×#385C2211yescharacteristic
162C17×#385C2211yescharacteristic
163C17×#385C2211yescharacteristic, complemented
164C17×#385C2211yescharacteristic, complemented
165C17×#384C2211yescharacteristic, complemented
166C17×#382C2211yescharacteristic, complemented
167C17×#382C2211yescharacteristic, complemented
168C17×#382C2211yescharacteristic, complemented
169C17×#381C2211yescharacteristic
170C17×#381C2211yescharacteristic
171C17×#381C2211yescharacteristic
172C17×#381C2211yescharacteristic
173C17×#381C2211yescharacteristic, complemented
174C17×#380C2211yescharacteristic, complemented
175C17×#380C2211yescharacteristic, complemented
176C17×#380C2211yescharacteristic, complemented
177C17×#379C2211yescharacteristic
178C17×#379C2211yescharacteristic
179C17×#379C2211yescharacteristic
180C4×C4⋊C4×C17C2211yescharacteristic, complemented
181C4×C4⋊C4×C17C2211yescharacteristic, complemented
182C4×C22⋊C4×C17C2211yescharacteristic
183C4×C22⋊C4×C17C2211yescharacteristic
184C4×C22⋊C4×C17C2211yescharacteristic
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
200C23×C4×C17—42no—
201C23×C4×C17—42no—
202C23×C4×C17—42no—
203C23×C4×C17C2311yescharacteristic
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C23×C4×C17C2311yescharacteristic
209C23×C4×C17C2311yescharacteristic
210C23×C4×C17C2311yescharacteristic
211C23×C4×C17C2311yescharacteristic
212C17×#127—42no—
213C17×#126—24no—
214C17×#126—42no—
215C17×#126—42no—
216C17×#123—42no—
217C17×#123—42no—
218C17×#123—42no—
219C17×#123—42no—
220C17×#123—42no—
221C17×#123—42no—
222C17×#121—24no—
223C17×#121—42no—
224C17×#120—24no—
225C17×#120—42no—
226C17×#120—42no—
227C4×D4×C17—42no—
228C4×D4×C17—42no—
229C4×D4×C17—42no—
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×C22⋊C4×C17C2311yescharacteristic
309C2×C22⋊C4×C17C2311yescharacteristic
310C2×C22⋊C4×C17C2311yescharacteristic
311C2×C22⋊C4×C17C2311yescharacteristic
312C2×C22⋊C4×C17C2311yescharacteristic
313C2×C22⋊C4×C17C2311yescharacteristic
314C2×C42×C17C2311yescharacteristic
315C2×C42×C17C2311yescharacteristic
316C2×C42×C17C2311yescharacteristic
317C2×C42×C17C2311yescharacteristic
318C2×C42×C17C2311yescharacteristic
319C2×C42×C17C2311yescharacteristic
320C2×C42×C17C2311yescharacteristic
321C2×C42×C17C2311yescharacteristic
322C2×C42×C17C2311yescharacteristic
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×C17—22no—
364C24×C17—22no—
365C24×C17—22no—
366C24×C17—41no—
367C24×C17—41no—
368C24×C17—41no—
369C24×C17—41no—
370C24×C17C2411yescharacteristic
371C24×C17C2411yescharacteristic
372C24×C17C2411yescharacteristic
373C24×C17C2411yescharacteristic
374C24×C17C2411yescharacteristic
375C24×C17C2411yescharacteristic
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—22no—
386C2×D4×C17—22no—
387C2×D4×C17—22no—
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—
407C2×D4×C17—41no—
408C2×D4×C17—41no—
409C2×D4×C17—41no—
410C2×D4×C17—41no—
411C2×D4×C17—41no—
412C22×C4×C17—22no—
413C22×C4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—22no—
416C22×C4×C17—22no—
417C22×C4×C17—22no—
418C22×C4×C17—22no—
419C22×C4×C17—22no—
420C22×C4×C17—22no—
421C22×C4×C17—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×C17—41no—
429C22×C4×C17—41no—
430C22×C4×C17—41no—
431C22×C4×C17—41no—
432C22×C4×C17—41no—
433C22×C4×C17—41no—
434C22×C4×C17—41no—
435C22×C4×C17—41no—
436C22×C4×C17—41no—
437C22×C4×C17—41no—
438C22×C4×C17—41no—
439C22×C4×C17—416no—
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
454C22×C4×C17C2411yescharacteristic
455C22×C4×C17C2411yescharacteristic
456C22×C4×C17C2411yescharacteristic
457C22×C4×C17C2411yescharacteristic
458C22×C4×C17C2411yescharacteristic
459C22×C4×C17C2411yescharacteristic
460C22×C4×C17C2411yescharacteristic
461C22×C4×C17C2411yescharacteristic
462C22×C4×C17C2411yescharacteristic
463C22×C4×C17C2411yescharacteristic
464C22×C4×C17C2411yescharacteristic
465C4⋊C4×C17—22no—
466C4⋊C4×C17—22no—
467C4⋊C4×C17—22no—
468C4⋊C4×C17—22no—
469C4⋊C4×C17—22no—
470C4⋊C4×C17—22no—
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—
491C4⋊C4×C17—41no—
492C4⋊C4×C17—41no—
493C4⋊C4×C17—41no—
494C4⋊C4×C17—41no—
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—
535C22⋊C4×C17—41no—
536C22⋊C4×C17—41no—
537C22⋊C4×C17—41no—
538C22⋊C4×C17—41no—
539C22⋊C4×C17—41no—
540C22⋊C4×C17—41no—
541C22⋊C4×C17—41no—
542C22⋊C4×C17—41no—
543C22⋊C4×C17—41no—
544C22⋊C4×C17—41no—
545C22⋊C4×C17—41no—
546C22⋊C4×C17—41no—
547C22⋊C4×C17—41no—
548C22⋊C4×C17#4114yes—
549C42×C17—22no—
550C42×C17—22no—
551C42×C17—41no—
552C42×C17—41no—
553C42×C17—41no—
554C42×C17—41no—
555C42×C17—41no—
556C42×C17—41no—
557C42×C17—41no—
558#36841C1711yesmaximal, characteristic, direct product factor, Sylow
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×C17—21no—
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—44no—
599C23×C17—44no—
600C23×C17—44no—
601C23×C17—44no—
602C23×C17—44no—
603C23×C17—44no—
604C23×C17—44no—
605C23×C17C2×#4112yes—
606C23×C17H(5,𝔽2)12yes—
607C23×C17H(5,𝔽2)12yes—
608C23×C17C2511yescharacteristic
609D4×C17—44no—
610D4×C17—44no—
611D4×C17—44no—
612D4×C17—82no—
613D4×C17—82no—
614D4×C17—82no—
615D4×C17—82no—
616D4×C17—82no—
617D4×C17—82no—
618D4×C17—82no—
619D4×C17—82no—
620D4×C17—82no—
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—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—44no—
694C2×C4×C17—44no—
695C2×C4×C17—44no—
696C2×C4×C17—44no—
697C2×C4×C17—44no—
698C2×C4×C17—44no—
699C2×C4×C17—82no—
700C2×C4×C17—82no—
701C2×C4×C17—82no—
702C2×C4×C17C2×#4112yes—
703C2×C4×C17C2×#4112yes—
704C2×C4×C17H(5,𝔽2)12yes—
705#2849C2×C1711yescharacteristic, complemented
706#2849C2×C1711yescharacteristic, complemented
707#2790C2×C1711yescharacteristic, complemented
708#2778C2×C1711yescharacteristic, complemented
709#2765C2×C1711yescharacteristic, complemented
710#2761C2×C1711yescharacteristic, complemented
711#2753C2×C1711yescharacteristic, complemented
712#2752C2×C1711yescharacteristic, complemented
713#2743C2×C1711yescharacteristic, complemented
714#2718C2×C1711yescharacteristic, complemented
715#2709C2×C1711yescharacteristic, complemented
716#2706C2×C1711yescharacteristic, complemented
717#2701C2×C1711yescharacteristic, complemented
718#2697C2×C1711yescharacteristic, complemented
719#2691C2×C1711yescharacteristic, complemented
720#2685C2×C1711yescharacteristic, complemented
721#2685C2×C1711yescharacteristic, complemented
722#2669C2×C1711yescharacteristic
723#2636C2×C1711yescharacteristic, complemented
724#2630C2×C1711yescharacteristic, complemented
725#2576C2×C1711yescharacteristic, complemented
726#2575C2×C1711yescharacteristic, complemented
727#2554C2×C1711yescharacteristic, complemented
728#2553C2×C1711yescharacteristic, complemented
729#2468C2×C1711yescharacteristic, complemented
730#2457C2×C1711yescharacteristic, complemented
731#2445C2×C1711yescharacteristic, complemented
732#2422C2×C1711yescharacteristic, complemented
733#2334C2×C1711yescharacteristic, complemented
734#2333C2×C1711yescharacteristic, complemented
735C4×#120C2×C1711yescharacteristic, complemented
736C22×C17—22no—
737C22×C17—22no—
738C22×C17—22no—
739C22×C17—22no—
740C22×C17—22no—
741C22×C17—22no—
742C22×C17—22no—
743C22×C17—22no—
744C22×C17—22no—
745C22×C17—416no—
746C22×C17—41no—
747C22×C17—41no—
748C22×C17—41no—
749C22×C17—41no—
750C22×C17—41no—
751C22×C17—41no—
752C22×C17—41no—
753C22×C17—41no—
754C22×C17—41no—
755C22×C17—41no—
756C22×C17—41no—
757C22×C17—41no—
758C22×C17—41no—
759C22×C17—41no—
760C22×C17—41no—
761C22×C17—41no—
762C22×C17—41no—
763C22×C17—41no—
764C22×C17—41no—
765C22×C17—41no—
766C22×C17—41no—
767C22×C17—41no—
768C22×C17—41no—
769C22×C17—41no—
770C22×C17—41no—
771C22×C17—41no—
772C22×C17—41no—
773C22×C17—41no—
774C22×C17—41no—
775C22×C17—41no—
776C22×C17—41no—
777C22×C17—41no—
778C22×C17—41no—
779C22×C17C22×#4111yescharacteristic
780C22×C17C2×H(5,𝔽2)11yescharacteristic
781C22×C17C2×H(5,𝔽2)11yescharacteristic
782C22×C17C2×H(5,𝔽2)11yescharacteristic
783C22×C17#58511yescharacteristic
784C22×C17#58511yescharacteristic
785C22×C17#58511yescharacteristic
786C4×C17—22no—
787C4×C17—22no—
788C4×C17—22no—
789C4×C17—41no—
790C4×C17—41no—
791C4×C17—41no—
792C4×C17—41no—
793C4×C17—41no—
794C4×C17—41no—
795C4×C17—41no—
796C4×C17—41no—
797C4×C17—41no—
798C4×C17—41no—
799C4×C17—41no—
800C4×C17—41no—
801C4×C17—41no—
802C4×C17—41no—
803C4×C17—41no—
804C4×C17—41no—
805C4×C17—41no—
806C4×C17—41no—
807C4×C17—41no—
808C4×C17—41no—
809C4×C17—41no—
810C4×C17—41no—
811C24×C4C22×C1711yescharacteristic
812C2×#127C22×C1711yescharacteristic
813C2×#126C22×C1711yescharacteristic
814C2×#126C22×C1711yescharacteristic
815C2×#126C22×C1711yescharacteristic, complemented
816C2×#123C22×C1711yescharacteristic
817C2×#123C22×C1711yescharacteristic
818C2×#123C22×C1711yescharacteristic
819C2×#123C22×C1711yescharacteristic
820C2×#123C22×C1711yescharacteristic
821C2×#123C22×C1711yescharacteristic, complemented
822C2×#121C22×C1711yescharacteristic
823C2×#121C22×C1711yescharacteristic
824C2×#120C22×C1711yescharacteristic
825C2×#120C22×C1711yescharacteristic
826C2×#120C22×C1711yescharacteristic
827C2×C4×D4C22×C1711yescharacteristic
828C2×C4×D4C22×C1711yescharacteristic
829C2×C4×D4C22×C1711yescharacteristic
830#401C22×C1711yescharacteristic, complemented
831#400C22×C1711yescharacteristic, complemented
832#400C22×C1711yescharacteristic, complemented
833#400C22×C1711yescharacteristic, complemented
834#400C22×C1711yescharacteristic, complemented
835#399C22×C1711yescharacteristic
836#399C22×C1711yescharacteristic
837#399C22×C1711yescharacteristic, complemented
838#398C22×C1711yescharacteristic, complemented
839#398C22×C1711yescharacteristic, complemented
840#398C22×C1711yescharacteristic, complemented
841#398C22×C1711yescharacteristic, complemented
842#398C22×C1711yescharacteristic, complemented
843#397C22×C1711yescharacteristic
844#397C22×C1711yescharacteristic
845#397C22×C1711yescharacteristic, complemented
846#397C22×C1711yescharacteristic, complemented
847#397C22×C1711yescharacteristic, complemented
848#397C22×C1711yescharacteristic, complemented
849#396C22×C1711yescharacteristic
850#396C22×C1711yescharacteristic
851#396C22×C1711yescharacteristic
852#396C22×C1711yescharacteristic
853#396C22×C1711yescharacteristic, complemented
854#396C22×C1711yescharacteristic, complemented
855#396C22×C1711yescharacteristic, complemented
856#394C22×C1711yescharacteristic
857#394C22×C1711yescharacteristic
858#394C22×C1711yescharacteristic
859#394C22×C1711yescharacteristic
860#394C22×C1711yescharacteristic
861#394C22×C1711yescharacteristic
862#394C22×C1711yescharacteristic
863#394C22×C1711yescharacteristic
864#394C22×C1711yescharacteristic
865#394C22×C1711yescharacteristic
866#394C22×C1711yescharacteristic
867#394C22×C1711yescharacteristic
868#394C22×C1711yescharacteristic, complemented
869#394C22×C1711yescharacteristic, complemented
870#394C22×C1711yescharacteristic, complemented
871#394C22×C1711yescharacteristic, complemented
872#394C22×C1711yescharacteristic, complemented
873#394C22×C1711yescharacteristic, complemented
874#392C22×C1711yescharacteristic
875#392C22×C1711yescharacteristic
876#392C22×C1711yescharacteristic
877#392C22×C1711yescharacteristic
878#390C22×C1711yescharacteristic
879#390C22×C1711yescharacteristic
880#390C22×C1711yescharacteristic
881#390C22×C1711yescharacteristic
882#390C22×C1711yescharacteristic
883#390C22×C1711yescharacteristic, complemented
884#390C22×C1711yescharacteristic, complemented
885#389C22×C1711yescharacteristic, complemented
886#389C22×C1711yescharacteristic, complemented
887#389C22×C1711yescharacteristic, complemented
888#388C22×C1711yescharacteristic
889#388C22×C1711yescharacteristic
890#388C22×C1711yescharacteristic
891#388C22×C1711yescharacteristic
892#388C22×C1711yescharacteristic
893#388C22×C1711yescharacteristic
894#388C22×C1711yescharacteristic
895#388C22×C1711yescharacteristic
896#388C22×C1711yescharacteristic
897#388C22×C1711yescharacteristic
898#388C22×C1711yescharacteristic, complemented
899#388C22×C1711yescharacteristic, complemented
900#388C22×C1711yescharacteristic, complemented
901#388C22×C1711yescharacteristic, complemented
902#388C22×C1711yescharacteristic, complemented
903#388C22×C1711yescharacteristic, complemented
904#388C22×C1711yescharacteristic, complemented
905#387C22×C1711yescharacteristic, complemented
906#387C22×C1711yescharacteristic, complemented
907#387C22×C1711yescharacteristic, complemented
908#387C22×C1711yescharacteristic, complemented
909#387C22×C1711yescharacteristic, complemented
910#387C22×C1711yescharacteristic, complemented
911#387C22×C1711yescharacteristic, complemented
912#387C22×C1711yescharacteristic, complemented
913#387C22×C1711yescharacteristic, complemented
914#386C22×C1711yescharacteristic
915#386C22×C1711yescharacteristic
916#386C22×C1711yescharacteristic
917#386C22×C1711yescharacteristic
918#386C22×C1711yescharacteristic
919#386C22×C1711yescharacteristic
920#386C22×C1711yescharacteristic
921#386C22×C1711yescharacteristic
922#386C22×C1711yescharacteristic
923#386C22×C1711yescharacteristic
924#386C22×C1711yescharacteristic
925#386C22×C1711yescharacteristic
926#386C22×C1711yescharacteristic
927#386C22×C1711yescharacteristic
928#386C22×C1711yescharacteristic, complemented
929#386C22×C1711yescharacteristic, complemented
930#386C22×C1711yescharacteristic, complemented
931#385C22×C1711yescharacteristic
932#385C22×C1711yescharacteristic
933#385C22×C1711yescharacteristic
934#385C22×C1711yescharacteristic
935#385C22×C1711yescharacteristic
936#385C22×C1711yescharacteristic
937#385C22×C1711yescharacteristic
938#385C22×C1711yescharacteristic
939#385C22×C1711yescharacteristic
940#385C22×C1711yescharacteristic
941#385C22×C1711yescharacteristic
942#385C22×C1711yescharacteristic, complemented
943#385C22×C1711yescharacteristic, complemented
944#384C22×C1711yescharacteristic, complemented
945#382C22×C1711yescharacteristic, complemented
946#382C22×C1711yescharacteristic, complemented
947#382C22×C1711yescharacteristic, complemented
948#381C22×C1711yescharacteristic
949#381C22×C1711yescharacteristic
950#381C22×C1711yescharacteristic
951#381C22×C1711yescharacteristic
952#381C22×C1711yescharacteristic, complemented
953#380C22×C1711yescharacteristic, complemented
954#380C22×C1711yescharacteristic, complemented
955#380C22×C1711yescharacteristic, complemented
956#379C22×C1711yescharacteristic
957#379C22×C1711yescharacteristic
958#379C22×C1711yescharacteristic
959C4×C4⋊C4C22×C1711yescharacteristic, complemented
960C4×C4⋊C4C22×C1711yescharacteristic, complemented
961C4×C22⋊C4C22×C1711yescharacteristic
962C4×C22⋊C4C22×C1711yescharacteristic
963C4×C22⋊C4C22×C1711yescharacteristic
964C4×C22⋊C4C22×C1711yescharacteristic, complemented
965C4×C22⋊C4C22×C1711yescharacteristic, complemented
966C2×C17—42no—
967C2×C17—42no—
968C2×C17—42no—
969C2×C17—81no—
970C2×C17—81no—
971C2×C17—81no—
972C2×C17#346011yescharacteristic
973C2×C17#351311yescharacteristic
974C2×C17#351311yescharacteristic
975C2×C17#353211yescharacteristic
976C2×C17#353311yescharacteristic
977C2×C17#353311yescharacteristic
978C2×C17#353911yescharacteristic
979C25C23×C1711yescharacteristic
980C22×D4C23×C1711yescharacteristic
981C22×D4C23×C1711yescharacteristic
982C22×D4C23×C1711yescharacteristic
983C22×D4C23×C1711yescharacteristic
984C22×D4C23×C1711yescharacteristic
985C22×D4C23×C1711yescharacteristic
986C22×D4C23×C1711yescharacteristic
987C22×D4C23×C1711yescharacteristic
988C22×D4C23×C1711yescharacteristic
989C22×D4C23×C1711yescharacteristic
990C22×D4C23×C1711yescharacteristic
991C22×D4C23×C1711yescharacteristic
992C23×C4—42no—
993C23×C4—42no—
994C23×C4—42no—
995C23×C4C23×C1711yescharacteristic
996C23×C4C23×C1711yescharacteristic
997C23×C4C23×C1711yescharacteristic
998C23×C4C23×C1711yescharacteristic
999C23×C4C23×C1711yescharacteristic
1000C23×C4C23×C1711yescharacteristic
1001C23×C4C23×C1711yescharacteristic
1002C23×C4C23×C1711yescharacteristic
1003C23×C4C23×C1711yescharacteristic
1004#127—42no—
1005#126—24no—
1006#126—42no—
1007#126—42no—
1008#123—42no—
1009#123—42no—
1010#123—42no—
1011#123—42no—
1012#123—42no—
1013#123—42no—
1014#121—24no—
1015#121—42no—
1016#120—24no—
1017#120—42no—
1018#120—42no—
1019C4×D4—42no—
1020C4×D4—42no—
1021C4×D4—42no—
1022C2×C4⋊C4C23×C1711yescharacteristic
1023C2×C4⋊C4C23×C1711yescharacteristic
1024C2×C4⋊C4C23×C1711yescharacteristic
1025C2×C4⋊C4C23×C1711yescharacteristic
1026C2×C4⋊C4C23×C1711yescharacteristic
1027C2×C4⋊C4C23×C1711yescharacteristic
1028C2×C4⋊C4C23×C1711yescharacteristic
1029C2×C4⋊C4C23×C1711yescharacteristic
1030C2×C4⋊C4C23×C1711yescharacteristic
1031C2×C4⋊C4C23×C1711yescharacteristic
1032C2×C4⋊C4C23×C1711yescharacteristic
1033C2×C4⋊C4C23×C1711yescharacteristic
1034C2×C4⋊C4C23×C1711yescharacteristic
1035C2×C4⋊C4C23×C1711yescharacteristic
1036C2×C4⋊C4C23×C1711yescharacteristic
1037C2×C4⋊C4C23×C1711yescharacteristic
1038C2×C4⋊C4C23×C1711yescharacteristic
1039C2×C4⋊C4C23×C1711yescharacteristic
1040C2×C4⋊C4C23×C1711yescharacteristic
1041C2×C4⋊C4C23×C1711yescharacteristic
1042C2×C4⋊C4C23×C1711yescharacteristic
1043C2×C4⋊C4C23×C1711yescharacteristic
1044C2×C4⋊C4C23×C1711yescharacteristic
1045C2×C4⋊C4C23×C1711yescharacteristic
1046C2×C4⋊C4C23×C1711yescharacteristic
1047C2×C4⋊C4C23×C1711yescharacteristic
1048C2×C4⋊C4C23×C1711yescharacteristic
1049C2×C4⋊C4C23×C1711yescharacteristic
1050C2×C4⋊C4C23×C1711yescharacteristic
1051C2×C4⋊C4C23×C1711yescharacteristic
1052C2×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×C22⋊C4C23×C1711yescharacteristic
1070C2×C22⋊C4C23×C1711yescharacteristic
1071C2×C22⋊C4C23×C1711yescharacteristic
1072C2×C22⋊C4C23×C1711yescharacteristic
1073C2×C22⋊C4C23×C1711yescharacteristic
1074C2×C22⋊C4C23×C1711yescharacteristic
1075C2×C22⋊C4C23×C1711yescharacteristic
1076C2×C22⋊C4C23×C1711yescharacteristic
1077C2×C22⋊C4C23×C1711yescharacteristic
1078C2×C22⋊C4C23×C1711yescharacteristic
1079C2×C22⋊C4C23×C1711yescharacteristic
1080C2×C22⋊C4C23×C1711yescharacteristic
1081C2×C22⋊C4C23×C1711yescharacteristic
1082C2×C22⋊C4C23×C1711yescharacteristic
1083C2×C22⋊C4C23×C1711yescharacteristic
1084C2×C22⋊C4C23×C1711yescharacteristic
1085C2×C22⋊C4C23×C1711yescharacteristic
1086C2×C22⋊C4C23×C1711yescharacteristic
1087C2×C22⋊C4C23×C1711yescharacteristic
1088C2×C22⋊C4C23×C1711yescharacteristic
1089C2×C22⋊C4C23×C1711yescharacteristic
1090C2×C22⋊C4C23×C1711yescharacteristic
1091C2×C22⋊C4C23×C1711yescharacteristic
1092C2×C22⋊C4C23×C1711yescharacteristic
1093C2×C22⋊C4C23×C1711yescharacteristic
1094C2×C22⋊C4C23×C1711yescharacteristic
1095C2×C22⋊C4C23×C1711yescharacteristic
1096C2×C22⋊C4C23×C1711yescharacteristic
1097C2×C22⋊C4C23×C1711yescharacteristic
1098C2×C22⋊C4C23×C1711yescharacteristic
1099C2×C22⋊C4C23×C1711yescharacteristic
1100C2×C22⋊C4C23×C1711yescharacteristic
1101C2×C22⋊C4C23×C1711yescharacteristic
1102C2×C22⋊C4C23×C1711yescharacteristic
1103C2×C22⋊C4C23×C1711yescharacteristic
1104C2×C22⋊C4C23×C1711yescharacteristic
1105C2×C22⋊C4C23×C1711yescharacteristic
1106C2×C42C23×C1711yescharacteristic
1107C2×C42C23×C1711yescharacteristic
1108C2×C42C23×C1711yescharacteristic
1109C2×C42C23×C1711yescharacteristic
1110C2×C42C23×C1711yescharacteristic
1111C2×C42C23×C1711yescharacteristic
1112C2×C42C23×C1711yescharacteristic
1113C2×C42C23×C1711yescharacteristic
1114C2×C42C23×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
1124#95C23×C1711yescharacteristic
1125#95C23×C1711yescharacteristic
1126#95C23×C1711yescharacteristic
1127#95C23×C1711yescharacteristic
1128#95C23×C1711yescharacteristic
1129#95C23×C1711yescharacteristic
1130#95C23×C1711yescharacteristic
1131#95C23×C1711yescharacteristic
1132#95C23×C1711yescharacteristic
1133#95C23×C1711yescharacteristic
1134#95C23×C1711yescharacteristic
1135#95C23×C1711yescharacteristic
1136#95C23×C1711yescharacteristic
1137#95C23×C1711yescharacteristic
1138#95C23×C1711yescharacteristic
1139#95C23×C1711yescharacteristic
1140#95C23×C1711yescharacteristic
1141#95C23×C1711yescharacteristic
1142#95C23×C1711yescharacteristic
1143#95C23×C1711yescharacteristic
1144#95C23×C1711yescharacteristic
1145#95C23×C1711yescharacteristic
1146#95C23×C1711yescharacteristic
1147#95C23×C1711yescharacteristic
1148#95C23×C1711yescharacteristic
1149#95C23×C1711yescharacteristic
1150#95C23×C1711yescharacteristic
1151#95C23×C1711yescharacteristic
1152#95C23×C1711yescharacteristic
1153#95C23×C1711yescharacteristic
1154#95C23×C1711yescharacteristic
1155C17#3684111yescharacteristic, direct product factor, Sylow
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—41no—
1160C24—41no—
1161C24—41no—
1162C24—41no—
1163C24C24×C1711yescharacteristic
1164C24C24×C1711yescharacteristic
1165C24C24×C1711yescharacteristic
1166C24C24×C1711yescharacteristic
1167C24C24×C1711yescharacteristic
1168C24C24×C1711yescharacteristic
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—416no—
1233C22×C4C24×C1711yescharacteristic
1234C22×C4C24×C1711yescharacteristic
1235C22×C4C24×C1711yescharacteristic
1236C22×C4C24×C1711yescharacteristic
1237C22×C4C24×C1711yescharacteristic
1238C22×C4C24×C1711yescharacteristic
1239C22×C4C24×C1711yescharacteristic
1240C22×C4C24×C1711yescharacteristic
1241C22×C4C24×C1711yescharacteristic
1242C22×C4C24×C1711yescharacteristic
1243C22×C4C24×C1711yescharacteristic
1244C22×C4C24×C1711yescharacteristic
1245C22×C4C24×C1711yescharacteristic
1246C22×C4C24×C1711yescharacteristic
1247C22×C4C24×C1711yescharacteristic
1248C22×C4C24×C1711yescharacteristic
1249C22×C4C24×C1711yescharacteristic
1250C22×C4C24×C1711yescharacteristic
1251C22×C4C24×C1711yescharacteristic
1252C22×C4C24×C1711yescharacteristic
1253C22×C4C24×C1711yescharacteristic
1254C22×C4C24×C1711yescharacteristic
1255C22×C4C24×C1711yescharacteristic
1256C22×C4C24×C1711yescharacteristic
1257C22×C4C24×C1711yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4#41×C1714yes—
1342C42—22no—
1343C42—22no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—44no—
1391C23—44no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23C2×#41×C1712yes—
1398C23C17×H(5,𝔽2)12yes—
1399C23C17×H(5,𝔽2)12yes—
1400C23C25×C1711yescharacteristic
1401D4—44no—
1402D4—44no—
1403D4—44no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
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—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—82no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4C2×#41×C1712yes—
1495C2×C4C2×#41×C1712yes—
1496C2×C4C17×H(5,𝔽2)12yes—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—416no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22C22×#41×C1711yescharacteristic
1541C22C2×C17×H(5,𝔽2)11yescharacteristic
1542C22C2×C17×H(5,𝔽2)11yescharacteristic
1543C22C2×C17×H(5,𝔽2)11yescharacteristic
1544C22C17×#58511yescharacteristic
1545C22C17×#58511yescharacteristic
1546C22C17×#58511yescharacteristic
1547C4—22no—
1548C4—22no—
1549C4—22no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C2—42no—
1573C2—42no—
1574C2—42no—
1575C2—81no—
1576C2—81no—
1577C2—81no—
1578C2C17×#346011yescharacteristic
1579C2C17×#351311yescharacteristic
1580C2C17×#351311yescharacteristic
1581C2C17×#353211yescharacteristic
1582C2C17×#353311yescharacteristic
1583C2C17×#353311yescharacteristic
1584C2C17×#353911yescharacteristic
subgroupG/H
center, socleC23×C17C25
commutator, Frattini, cosocleC23C25×C17
prime radicalC17×#2669C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C17 ◁ G

Complements

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

NH ≅ G/Ntype
1. C17×#2849C2semidirect
2. C17×#2849C2semidirect
3. C17×#2790C2semidirect
4. C17×#2778C2semidirect
5. C17×#2765C2semidirect
6. C17×#2761C2semidirect
7. C17×#2753C2semidirect
8. C17×#2752C2semidirect
9. C17×#2743C2semidirect
10. C17×#2718C2semidirect
11. C17×#2709C2semidirect
12. C17×#2706C2semidirect
13. C17×#2701C2semidirect
14. C17×#2697C2semidirect
15. C17×#2691C2semidirect
16. C17×#2685C2semidirect
17. C17×#2685C2semidirect
19. C17×#2636C2semidirect
20. C17×#2630C2semidirect
21. C17×#2576C2semidirect
22. C17×#2575C2semidirect
23. C17×#2554C2semidirect
24. C17×#2553C2semidirect
25. C17×#2468C2semidirect
26. C17×#2457C2semidirect
27. C17×#2445C2semidirect
28. C17×#2422C2semidirect
29. C17×#2334C2semidirect
30. C17×#2333C2semidirect
31. C4×C17×#120C2semidirect
36. C2×C17×#126C22semidirect
42. C2×C17×#123C22semidirect
51. C17×#401C22semidirect
52. C17×#400C22semidirect
53. C17×#400C22semidirect
54. C17×#400C22semidirect
55. C17×#400C22semidirect
58. C17×#399C22semidirect
59. C17×#398C22semidirect
60. C17×#398C22semidirect
61. C17×#398C22semidirect
62. C17×#398C22semidirect
63. C17×#398C22semidirect
66. C17×#397C22semidirect
67. C17×#397C22semidirect
68. C17×#397C22semidirect
69. C17×#397C22semidirect
74. C17×#396C22semidirect
75. C17×#396C22semidirect
76. C17×#396C22semidirect
89. C17×#394C22semidirect
90. C17×#394C22semidirect
91. C17×#394C22semidirect
92. C17×#394C22semidirect
93. C17×#394C22semidirect
94. C17×#394C22semidirect
104. C17×#390C22semidirect
105. C17×#390C22semidirect
106. C17×#389C22semidirect
107. C17×#389C22semidirect
108. C17×#389C22semidirect
119. C17×#388C22semidirect
120. C17×#388C22semidirect
121. C17×#388C22semidirect
122. C17×#388C22semidirect
123. C17×#388C22semidirect
124. C17×#388C22semidirect
125. C17×#388C22semidirect
126. C17×#387C22semidirect
127. C17×#387C22semidirect
128. C17×#387C22semidirect
129. C17×#387C22semidirect
130. C17×#387C22semidirect
131. C17×#387C22semidirect
132. C17×#387C22semidirect
133. C17×#387C22semidirect
134. C17×#387C22semidirect
149. C17×#386C22semidirect
150. C17×#386C22semidirect
151. C17×#386C22semidirect
163. C17×#385C22semidirect
164. C17×#385C22semidirect
165. C17×#384C22semidirect
166. C17×#382C22semidirect
167. C17×#382C22semidirect
168. C17×#382C22semidirect
173. C17×#381C22semidirect
174. C17×#380C22semidirect
175. C17×#380C22semidirect
176. C17×#380C22semidirect
180. C4×C4⋊C4×C17C22semidirect
181. C4×C4⋊C4×C17C22semidirect
185. C4×C22⋊C4×C17C22semidirect
186. C4×C22⋊C4×C17C22semidirect
558. #36841C17direct (N × H)
705. #2849C2×C17semidirect
706. #2849C2×C17semidirect
707. #2790C2×C17semidirect
708. #2778C2×C17semidirect
709. #2765C2×C17semidirect
710. #2761C2×C17semidirect
711. #2753C2×C17semidirect
712. #2752C2×C17semidirect
713. #2743C2×C17semidirect
714. #2718C2×C17semidirect
715. #2709C2×C17semidirect
716. #2706C2×C17semidirect
717. #2701C2×C17semidirect
718. #2697C2×C17semidirect
719. #2691C2×C17semidirect
720. #2685C2×C17semidirect
721. #2685C2×C17semidirect
723. #2636C2×C17semidirect
724. #2630C2×C17semidirect
725. #2576C2×C17semidirect
726. #2575C2×C17semidirect
727. #2554C2×C17semidirect
728. #2553C2×C17semidirect
729. #2468C2×C17semidirect
730. #2457C2×C17semidirect
731. #2445C2×C17semidirect
732. #2422C2×C17semidirect
733. #2334C2×C17semidirect
734. #2333C2×C17semidirect
735. C4×#120C2×C17semidirect
815. C2×#126C22×C17semidirect
821. C2×#123C22×C17semidirect
830. #401C22×C17semidirect
831. #400C22×C17semidirect
832. #400C22×C17semidirect
833. #400C22×C17semidirect
834. #400C22×C17semidirect
837. #399C22×C17semidirect
838. #398C22×C17semidirect
839. #398C22×C17semidirect
840. #398C22×C17semidirect
841. #398C22×C17semidirect
842. #398C22×C17semidirect
845. #397C22×C17semidirect
846. #397C22×C17semidirect
847. #397C22×C17semidirect
848. #397C22×C17semidirect
853. #396C22×C17semidirect
854. #396C22×C17semidirect
855. #396C22×C17semidirect
868. #394C22×C17semidirect
869. #394C22×C17semidirect
870. #394C22×C17semidirect
871. #394C22×C17semidirect
872. #394C22×C17semidirect
873. #394C22×C17semidirect
883. #390C22×C17semidirect
884. #390C22×C17semidirect
885. #389C22×C17semidirect
886. #389C22×C17semidirect
887. #389C22×C17semidirect
898. #388C22×C17semidirect
899. #388C22×C17semidirect
900. #388C22×C17semidirect
901. #388C22×C17semidirect
902. #388C22×C17semidirect
903. #388C22×C17semidirect
904. #388C22×C17semidirect
905. #387C22×C17semidirect
906. #387C22×C17semidirect
907. #387C22×C17semidirect
908. #387C22×C17semidirect
909. #387C22×C17semidirect
910. #387C22×C17semidirect
911. #387C22×C17semidirect
912. #387C22×C17semidirect
913. #387C22×C17semidirect
928. #386C22×C17semidirect
929. #386C22×C17semidirect
930. #386C22×C17semidirect
942. #385C22×C17semidirect
943. #385C22×C17semidirect
944. #384C22×C17semidirect
945. #382C22×C17semidirect
946. #382C22×C17semidirect
947. #382C22×C17semidirect
952. #381C22×C17semidirect
953. #380C22×C17semidirect
954. #380C22×C17semidirect
955. #380C22×C17semidirect
959. C4×C4⋊C4C22×C17semidirect
960. C4×C4⋊C4C22×C17semidirect
964. C4×C22⋊C4C22×C17semidirect
965. C4×C22⋊C4C22×C17semidirect
1155. C17#36841direct (N × H)

Maximal subgroups

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

subgroupindex
C17×#28492
C17×#27902
C17×#27782
C17×#27652
C17×#27612
C17×#27532
C17×#27522
C17×#27432
C17×#27182
C17×#27092
C17×#27062
C17×#27012
C17×#26972
C17×#26912
C17×#26852
C17×#26692
C17×#26362
C17×#26302
C17×#25762
C17×#25752
C17×#25542
C17×#25532
C17×#24682
C17×#24572
C17×#24452
C17×#24222
C17×#23342
C17×#23332
C4×C17×#1202
#3684117