Finite Group Databasebeta

← C17×#36808 #16894552

Subgroups — C17×#36808 #16894552

Order 4352.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1776 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×#2797C211yesmaximal, characteristic, complemented
4C17×#2761C211yesmaximal, characteristic, complemented
5C17×#2756C211yesmaximal, characteristic, complemented
6C17×#2753C211yesmaximal, characteristic, complemented
7C17×#2752C211yesmaximal, characteristic, complemented
8C17×#2751C211yesmaximal, characteristic, complemented
9C17×#2749C211yesmaximal, characteristic, complemented
10C17×#2730C211yesmaximal, characteristic, complemented
11C17×#2714C211yesmaximal, characteristic, complemented
12C17×#2714C211yesmaximal, characteristic, complemented
13C17×#2703C211yesmaximal, characteristic, complemented
14C17×#2685C211yesmaximal, characteristic, complemented
15C17×#2685C211yesmaximal, characteristic, complemented
16C17×#2678C211yesmaximal, characteristic, complemented
17C17×#2676C211yesmaximal, characteristic, complemented
18C17×#2670C211yesmaximal, characteristic, complemented
19C17×#2622C211yesmaximal, characteristic, complemented
20C17×#2617C211yesmaximal, characteristic, complemented
21C17×#2481C211yesmaximal, characteristic, complemented
22C17×#2472C211yesmaximal, characteristic, complemented
23C17×#2443C211yesmaximal, characteristic, complemented
24C17×#2437C211yesmaximal, characteristic, complemented
25C17×#2424C211yesmaximal, characteristic, complemented
26C17×#2410C211yesmaximal, characteristic, complemented
27C17×#2410C211yesmaximal, characteristic, complemented
28C17×#2403C211yesmaximal, characteristic, complemented
29C17×#2321C211yesmaximal, characteristic, complemented
30C17×#2308C211yesmaximal, characteristic, complemented
31C2×C17×#390C211yesmaximal, characteristic, complemented
32C23×D4×C17C2211yescharacteristic
33C23×D4×C17C2211yescharacteristic
34C2×C17×#126C2211yescharacteristic, complemented
35C2×C17×#126C2211yescharacteristic, complemented
36C2×C17×#124C2211yescharacteristic, complemented
37C2×C17×#124C2211yescharacteristic, complemented
38C2×C17×#123C2211yescharacteristic, complemented
39C2×C17×C22⋊Q8C2211yescharacteristic, complemented
40C2×C17×C22⋊Q8C2211yescharacteristic, complemented
41C2×C17×#121C2211yescharacteristic
42C2×C17×#121C2211yescharacteristic
43C2×C17×#121C2211yescharacteristic, complemented
44C2×C17×#121C2211yescharacteristic, complemented
45C2×C17×#121C2211yescharacteristic, complemented
46C2×C17×#120C2211yescharacteristic
47C2×C17×#120C2211yescharacteristic
48C2×C17×#120C2211yescharacteristic
49C2×C17×#120C2211yescharacteristic
50C2×C17×#120C2211yescharacteristic
51C2×C17×#120C2211yescharacteristic, complemented
52C2×C17×#120C2211yescharacteristic, complemented
53C2×C4×D4×C17C2211yescharacteristic, complemented
54C22×C4⋊C4×C17C2211yescharacteristic, complemented
55C22×C22⋊C4×C17C2211yescharacteristic
56C22×C22⋊C4×C17C2211yescharacteristic
57C22×C22⋊C4×C17C2211yescharacteristic
58C22×C22⋊C4×C17C2211yescharacteristic, complemented
59C22×C22⋊C4×C17C2211yescharacteristic, complemented
60C22×C42×C17C2211yescharacteristic, complemented
61C17×#400C2211yescharacteristic, complemented
62C17×#400C2211yescharacteristic, complemented
63C17×#399C2211yescharacteristic, complemented
64C17×#399C2211yescharacteristic, complemented
65C17×#398C2211yescharacteristic, complemented
66C17×#397C2211yescharacteristic, complemented
67C17×#397C2211yescharacteristic, complemented
68C17×#397C2211yescharacteristic, complemented
69C17×#397C2211yescharacteristic, complemented
70C17×#397C2211yescharacteristic, complemented
71C17×#397C2211yescharacteristic, complemented
72C17×#397C2211yescharacteristic, complemented
73C17×#397C2211yescharacteristic, complemented
74C17×#397C2211yescharacteristic, complemented
75C17×#396C2211yescharacteristic, complemented
76C17×#396C2211yescharacteristic, complemented
77C17×#396C2211yescharacteristic, complemented
78C17×#396C2211yescharacteristic, complemented
79C17×#394C2211yescharacteristic
80C17×#394C2211yescharacteristic
81C17×#394C2211yescharacteristic, complemented
82C17×#394C2211yescharacteristic, complemented
83C17×#394C2211yescharacteristic, complemented
84C17×#394C2211yescharacteristic, complemented
85C17×#394C2211yescharacteristic, complemented
86C17×#394C2211yescharacteristic, complemented
87C17×#394C2211yescharacteristic, complemented
88C17×#394C2211yescharacteristic, complemented
89C17×#394C2211yescharacteristic, complemented
90C17×#394C2211yescharacteristic, complemented
91C17×#394C2211yescharacteristic, complemented
92C17×#394C2211yescharacteristic, complemented
93C17×#394C2211yescharacteristic, complemented
94C17×#394C2211yescharacteristic, complemented
95C17×#394C2211yescharacteristic, complemented
96C17×#393C2211yescharacteristic, complemented
97C17×#393C2211yescharacteristic, complemented
98C17×#392C2211yescharacteristic
99C17×#392C2211yescharacteristic
100C17×#392C2211yescharacteristic
101C17×#392C2211yescharacteristic
102C17×#392C2211yescharacteristic
103C17×#392C2211yescharacteristic
104C17×#392C2211yescharacteristic, complemented
105C17×#392C2211yescharacteristic, complemented
106C17×#392C2211yescharacteristic, complemented
107C17×#392C2211yescharacteristic, complemented
108C17×#392C2211yescharacteristic, complemented
109C17×#391C2211yescharacteristic, complemented
110C17×#390C2211yescharacteristic
111C17×#390C2211yescharacteristic
112C17×#390C2211yescharacteristic
113C17×#390C2211yescharacteristic
114C17×#390C2211yescharacteristic, complemented
115C17×#390C2211yescharacteristic, complemented
116C17×#390C2211yescharacteristic, complemented
117C17×#390C2211yescharacteristic, complemented
118C17×#390C2211yescharacteristic, complemented
119C17×#390C2211yescharacteristic, complemented
120C17×#390C2211yescharacteristic, complemented
121C17×#390C2211yescharacteristic, complemented
122C17×#390C2211yescharacteristic, complemented
123C17×#388C2211yescharacteristic, complemented
124C17×#388C2211yescharacteristic, complemented
125C17×#388C2211yescharacteristic, complemented
126C17×#388C2211yescharacteristic, complemented
127C17×#388C2211yescharacteristic, complemented
128C17×#388C2211yescharacteristic, complemented
129C17×#388C2211yescharacteristic, complemented
130C17×#388C2211yescharacteristic, complemented
131C17×#388C2211yescharacteristic, complemented
132C17×#388C2211yescharacteristic, complemented
133C17×#388C2211yescharacteristic, complemented
134C17×#388C2211yescharacteristic, complemented
135C17×#388C2211yescharacteristic, complemented
136C17×#388C2211yescharacteristic, complemented
137C17×#388C2211yescharacteristic, complemented
138C17×#388C2211yescharacteristic, complemented
139C17×#387C2211yescharacteristic, complemented
140C17×#387C2211yescharacteristic, complemented
141C17×#387C2211yescharacteristic, complemented
142C17×#387C2211yescharacteristic, complemented
143C17×#387C2211yescharacteristic, complemented
144C17×#387C2211yescharacteristic, complemented
145C17×#386C2211yescharacteristic
146C17×#386C2211yescharacteristic
147C17×#386C2211yescharacteristic
148C17×#386C2211yescharacteristic
149C17×#386C2211yescharacteristic
150C17×#386C2211yescharacteristic
151C17×#386C2211yescharacteristic
152C17×#386C2211yescharacteristic
153C17×#386C2211yescharacteristic
154C17×#386C2211yescharacteristic
155C17×#386C2211yescharacteristic, complemented
156C17×#386C2211yescharacteristic, complemented
157C17×#386C2211yescharacteristic, complemented
158C17×#386C2211yescharacteristic, complemented
159C17×#386C2211yescharacteristic, complemented
160C17×#386C2211yescharacteristic, complemented
161C17×#386C2211yescharacteristic, complemented
162C17×#386C2211yescharacteristic, complemented
163C17×#386C2211yescharacteristic, complemented
164C17×#386C2211yescharacteristic, complemented
165C17×#386C2211yescharacteristic, complemented
166C17×#386C2211yescharacteristic, complemented
167C17×#385C2211yescharacteristic, complemented
168C17×#385C2211yescharacteristic, complemented
169C17×#385C2211yescharacteristic, complemented
170C17×#385C2211yescharacteristic, complemented
171C17×#385C2211yescharacteristic, complemented
172C17×#385C2211yescharacteristic, complemented
173C17×#385C2211yescharacteristic, complemented
174C17×#385C2211yescharacteristic, complemented
175C17×#383C2211yescharacteristic, complemented
176C17×#382C2211yescharacteristic, complemented
177C17×#381C2211yescharacteristic, complemented
178C17×#381C2211yescharacteristic, complemented
179C17×#380C2211yescharacteristic, complemented
180C17×#380C2211yescharacteristic, complemented
181C17×#379C2211yescharacteristic
182C17×#379C2211yescharacteristic, complemented
183C17×#379C2211yescharacteristic, complemented
184C17×#379C2211yescharacteristic, complemented
185C17×#379C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic, complemented
187C25×C17C2311yescharacteristic
188C25×C17C2311yescharacteristic
189C25×C17C2311yescharacteristic
190C22×Q8×C17C2311yescharacteristic
191C22×D4×C17—24no—
192C22×D4×C17—24no—
193C22×D4×C17—42no—
194C22×D4×C17—42no—
195C22×D4×C17—42no—
196C22×D4×C17—42no—
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C22×D4×C17C2311yescharacteristic
201C22×D4×C17C2311yescharacteristic
202C22×D4×C17C2311yescharacteristic
203C22×D4×C17C2311yescharacteristic
204C22×D4×C17C2311yescharacteristic
205C22×D4×C17C2311yescharacteristic
206C22×D4×C17C2311yescharacteristic
207C22×D4×C17C2311yescharacteristic
208C22×D4×C17C2311yescharacteristic
209C22×D4×C17C2311yescharacteristic
210C22×D4×C17C2311yescharacteristic
211C22×D4×C17C2311yescharacteristic
212C22×D4×C17C2311yescharacteristic
213C22×D4×C17C2311yescharacteristic
214C22×D4×C17C2311yescharacteristic
215C22×D4×C17C2311yescharacteristic
216C23×C4×C17C2311yescharacteristic
217C23×C4×C17C2311yescharacteristic
218C23×C4×C17C2311yescharacteristic
219C23×C4×C17C2311yescharacteristic
220C23×C4×C17C2311yescharacteristic
221C23×C4×C17C2311yescharacteristic
222C23×C4×C17C2311yescharacteristic
223C23×C4×C17C2311yescharacteristic
224C23×C4×C17C2311yescharacteristic
225C17×#126—42no—
226C17×#126—42no—
227C17×#124—42no—
228C17×#124—42no—
229C17×#123—42no—
230C17×C22⋊Q8—42no—
231C17×C22⋊Q8—42no—
232C17×#121—42no—
233C17×#121—42no—
234C17×#121—42no—
235C17×#121—42no—
236C17×#121—42no—
237C17×#120—24no—
238C17×#120—42no—
239C17×#120—42no—
240C17×#120—42no—
241C17×#120—42no—
242C17×#120—42no—
243C17×#120—42no—
244C4×D4×C17—42no—
245C2×C4⋊C4×C17—42no—
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×C22⋊C4×C17—42no—
267C2×C22⋊C4×C17—42no—
268C2×C22⋊C4×C17—42no—
269C2×C22⋊C4×C17—42no—
270C2×C22⋊C4×C17—42no—
271C2×C22⋊C4×C17C2311yescharacteristic
272C2×C22⋊C4×C17C2311yescharacteristic
273C2×C22⋊C4×C17C2311yescharacteristic
274C2×C22⋊C4×C17C2311yescharacteristic
275C2×C22⋊C4×C17C2311yescharacteristic
276C2×C22⋊C4×C17C2311yescharacteristic
277C2×C22⋊C4×C17C2311yescharacteristic
278C2×C22⋊C4×C17C2311yescharacteristic
279C2×C22⋊C4×C17C2311yescharacteristic
280C2×C22⋊C4×C17C2311yescharacteristic
281C2×C22⋊C4×C17C2311yescharacteristic
282C2×C22⋊C4×C17C2311yescharacteristic
283C2×C22⋊C4×C17C2311yescharacteristic
284C2×C22⋊C4×C17C2311yescharacteristic
285C2×C22⋊C4×C17C2311yescharacteristic
286C2×C22⋊C4×C17C2311yescharacteristic
287C2×C22⋊C4×C17C2311yescharacteristic
288C2×C22⋊C4×C17C2311yescharacteristic
289C2×C22⋊C4×C17C2311yescharacteristic
290C2×C22⋊C4×C17C2311yescharacteristic
291C2×C22⋊C4×C17C2311yescharacteristic
292C2×C22⋊C4×C17C2311yescharacteristic
293C2×C22⋊C4×C17C2311yescharacteristic
294C2×C22⋊C4×C17C2311yescharacteristic
295C2×C22⋊C4×C17C2311yescharacteristic
296C2×C22⋊C4×C17C2311yescharacteristic
297C2×C22⋊C4×C17C2311yescharacteristic
298C2×C22⋊C4×C17C2311yescharacteristic
299C2×C22⋊C4×C17C2311yescharacteristic
300C2×C22⋊C4×C17C2311yescharacteristic
301C2×C22⋊C4×C17C2311yescharacteristic
302C2×C22⋊C4×C17C2311yescharacteristic
303C2×C22⋊C4×C17C2311yescharacteristic
304C2×C22⋊C4×C17C2311yescharacteristic
305C2×C22⋊C4×C17C2311yescharacteristic
306C2×C22⋊C4×C17C2311yescharacteristic
307C2×C22⋊C4×C17C2311yescharacteristic
308C2×C22⋊C4×C17C2311yescharacteristic
309C2×C22⋊C4×C17C2311yescharacteristic
310C2×C22⋊C4×C17C2311yescharacteristic
311C2×C22⋊C4×C17C2311yescharacteristic
312C2×C22⋊C4×C17C2311yescharacteristic
313C2×C22⋊C4×C17C2311yescharacteristic
314C2×C22⋊C4×C17C2311yescharacteristic
315C2×C22⋊C4×C17C2311yescharacteristic
316C2×C22⋊C4×C17C2311yescharacteristic
317C2×C22⋊C4×C17C2311yescharacteristic
318C2×C22⋊C4×C17C2311yescharacteristic
319C2×C22⋊C4×C17C2311yescharacteristic
320C2×C22⋊C4×C17C2311yescharacteristic
321C2×C22⋊C4×C17C2311yescharacteristic
322C2×C22⋊C4×C17C2311yescharacteristic
323C2×C22⋊C4×C17C2311yescharacteristic
324C2×C22⋊C4×C17C2311yescharacteristic
325C2×C22⋊C4×C17C2311yescharacteristic
326C2×C22⋊C4×C17C2311yescharacteristic
327C2×C22⋊C4×C17C2311yescharacteristic
328C2×C22⋊C4×C17C2311yescharacteristic
329C2×C22⋊C4×C17C2311yescharacteristic
330C2×C22⋊C4×C17C2311yescharacteristic
331C2×C22⋊C4×C17C2311yescharacteristic
332C2×C22⋊C4×C17C2311yescharacteristic
333C2×C22⋊C4×C17C2311yescharacteristic
334C2×C22⋊C4×C17C2311yescharacteristic
335C2×C42×C17—42no—
336C2×C42×C17C2311yescharacteristic
337C2×C42×C17C2311yescharacteristic
338C2×C42×C17C2311yescharacteristic
339C2×C42×C17C2311yescharacteristic
340C2×C42×C17C2311yescharacteristic
341C2×C42×C17C2311yescharacteristic
342C2×C42×C17C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C17×#95C2311yescharacteristic
364C17×#95C2311yescharacteristic
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
367C17×#95C2311yescharacteristic
368C17×#95C2311yescharacteristic
369C17×#95C2311yescharacteristic
370C17×#95C2311yescharacteristic
371C17×#95C2311yescharacteristic
372C17×#95C2311yescharacteristic
373C17×#95C2311yescharacteristic
374C17×#95C2311yescharacteristic
375C24×C17—22no—
376C24×C17—22no—
377C24×C17—22no—
378C24×C17—22no—
379C24×C17—22no—
380C24×C17—22no—
381C24×C17—41no—
382C24×C17—41no—
383C24×C17—41no—
384C24×C17—41no—
385C24×C17—41no—
386C24×C17—41no—
387C24×C17—41no—
388C24×C17—41no—
389C24×C17—41no—
390C24×C17—41no—
391C24×C17—41no—
392C24×C17—41no—
393C24×C17—41no—
394C24×C17—41no—
395C24×C17#4114yes—
396C24×C17C2411yescharacteristic
397C24×C17C2411yescharacteristic
398C24×C17C2411yescharacteristic
399C24×C17C2411yescharacteristic
400C24×C17C2411yescharacteristic
401C24×C17C2411yescharacteristic
402C24×C17C2411yescharacteristic
403C24×C17C2411yescharacteristic
404C2×Q8×C17—22no—
405C2×Q8×C17—41no—
406C2×Q8×C17—41no—
407C2×D4×C17—22no—
408C2×D4×C17—22no—
409C2×D4×C17—22no—
410C2×D4×C17—22no—
411C2×D4×C17—22no—
412C2×D4×C17—22no—
413C2×D4×C17—22no—
414C2×D4×C17—22no—
415C2×D4×C17—22no—
416C2×D4×C17—22no—
417C2×D4×C17—22no—
418C2×D4×C17—22no—
419C2×D4×C17—22no—
420C2×D4×C17—22no—
421C2×D4×C17—22no—
422C2×D4×C17—22no—
423C2×D4×C17—22no—
424C2×D4×C17—22no—
425C2×D4×C17—22no—
426C2×D4×C17—22no—
427C2×D4×C17—22no—
428C2×D4×C17—22no—
429C2×D4×C17—41no—
430C2×D4×C17—41no—
431C2×D4×C17—41no—
432C2×D4×C17—41no—
433C2×D4×C17—41no—
434C2×D4×C17—41no—
435C2×D4×C17—41no—
436C2×D4×C17—41no—
437C2×D4×C17—416no—
438C2×D4×C17—41no—
439C2×D4×C17—41no—
440C2×D4×C17—41no—
441C2×D4×C17—41no—
442C2×D4×C17—41no—
443C2×D4×C17—41no—
444C2×D4×C17—41no—
445C2×D4×C17—41no—
446C2×D4×C17—41no—
447C2×D4×C17—41no—
448C2×D4×C17—41no—
449C2×D4×C17—41no—
450C2×D4×C17—41no—
451C2×D4×C17—41no—
452C2×D4×C17—41no—
453C2×D4×C17—41no—
454C2×D4×C17—41no—
455C2×D4×C17—41no—
456C2×D4×C17—41no—
457C2×D4×C17—41no—
458C2×D4×C17—41no—
459C2×D4×C17—41no—
460C2×D4×C17—41no—
461C2×D4×C17—41no—
462C2×D4×C17—41no—
463C2×D4×C17—41no—
464C2×D4×C17—41no—
465C2×D4×C17—416no—
466C22×C4×C17—22no—
467C22×C4×C17—22no—
468C22×C4×C17—22no—
469C22×C4×C17—22no—
470C22×C4×C17—22no—
471C22×C4×C17—22no—
472C22×C4×C17—22no—
473C22×C4×C17—22no—
474C22×C4×C17—22no—
475C22×C4×C17—41no—
476C22×C4×C17—41no—
477C22×C4×C17—41no—
478C22×C4×C17—41no—
479C22×C4×C17—41no—
480C22×C4×C17—41no—
481C22×C4×C17—41no—
482C22×C4×C17—41no—
483C22×C4×C17—41no—
484C22×C4×C17—41no—
485C22×C4×C17—41no—
486C22×C4×C17—41no—
487C22×C4×C17—41no—
488C22×C4×C17—41no—
489C22×C4×C17—41no—
490C22×C4×C17—41no—
491C22×C4×C17—41no—
492C22×C4×C17—41no—
493C22×C4×C17C2411yescharacteristic
494C22×C4×C17C2411yescharacteristic
495C22×C4×C17C2411yescharacteristic
496C22×C4×C17C2411yescharacteristic
497C22×C4×C17C2411yescharacteristic
498C22×C4×C17C2411yescharacteristic
499C22×C4×C17C2411yescharacteristic
500C22×C4×C17C2411yescharacteristic
501C22×C4×C17C2411yescharacteristic
502C22×C4×C17C2411yescharacteristic
503C22×C4×C17C2411yescharacteristic
504C22×C4×C17C2411yescharacteristic
505C22×C4×C17C2411yescharacteristic
506C22×C4×C17C2411yescharacteristic
507C22×C4×C17C2411yescharacteristic
508C22×C4×C17C2411yescharacteristic
509C22×C4×C17C2411yescharacteristic
510C22×C4×C17C2411yescharacteristic
511C22×C4×C17C2411yescharacteristic
512C22×C4×C17C2411yescharacteristic
513C22×C4×C17C2411yescharacteristic
514C22×C4×C17C2411yescharacteristic
515C22×C4×C17C2411yescharacteristic
516C4⋊C4×C17—22no—
517C4⋊C4×C17—22no—
518C4⋊C4×C17—22no—
519C4⋊C4×C17—22no—
520C4⋊C4×C17—22no—
521C4⋊C4×C17—41no—
522C4⋊C4×C17—41no—
523C4⋊C4×C17—41no—
524C4⋊C4×C17—41no—
525C4⋊C4×C17—41no—
526C4⋊C4×C17—41no—
527C4⋊C4×C17—41no—
528C4⋊C4×C17—41no—
529C4⋊C4×C17—41no—
530C4⋊C4×C17—41no—
531C4⋊C4×C17—41no—
532C4⋊C4×C17—41no—
533C4⋊C4×C17—41no—
534C4⋊C4×C17—41no—
535C4⋊C4×C17—41no—
536C22⋊C4×C17—22no—
537C22⋊C4×C17—22no—
538C22⋊C4×C17—22no—
539C22⋊C4×C17—22no—
540C22⋊C4×C17—22no—
541C22⋊C4×C17—22no—
542C22⋊C4×C17—22no—
543C22⋊C4×C17—22no—
544C22⋊C4×C17—22no—
545C22⋊C4×C17—22no—
546C22⋊C4×C17—22no—
547C22⋊C4×C17—22no—
548C22⋊C4×C17—22no—
549C22⋊C4×C17—22no—
550C22⋊C4×C17—22no—
551C22⋊C4×C17—22no—
552C22⋊C4×C17—22no—
553C22⋊C4×C17—22no—
554C22⋊C4×C17—41no—
555C22⋊C4×C17—41no—
556C22⋊C4×C17—41no—
557C22⋊C4×C17—41no—
558C22⋊C4×C17—41no—
559C22⋊C4×C17—41no—
560C22⋊C4×C17—41no—
561C22⋊C4×C17—41no—
562C22⋊C4×C17—41no—
563C22⋊C4×C17—41no—
564C22⋊C4×C17—41no—
565C22⋊C4×C17—41no—
566C22⋊C4×C17—41no—
567C22⋊C4×C17—41no—
568C22⋊C4×C17—41no—
569C22⋊C4×C17—41no—
570C22⋊C4×C17—41no—
571C22⋊C4×C17—41no—
572C22⋊C4×C17—41no—
573C22⋊C4×C17—41no—
574C22⋊C4×C17—41no—
575C22⋊C4×C17—41no—
576C22⋊C4×C17—41no—
577C22⋊C4×C17—41no—
578C22⋊C4×C17—41no—
579C22⋊C4×C17—41no—
580C22⋊C4×C17—41no—
581C22⋊C4×C17—41no—
582C22⋊C4×C17—41no—
583C22⋊C4×C17—41no—
584C22⋊C4×C17—41no—
585C22⋊C4×C17—41no—
586C22⋊C4×C17—41no—
587C22⋊C4×C17—41no—
588C22⋊C4×C17—41no—
589C22⋊C4×C17—41no—
590C22⋊C4×C17—41no—
591C22⋊C4×C17—41no—
592C22⋊C4×C17—41no—
593C22⋊C4×C17—41no—
594C22⋊C4×C17—41no—
595C22⋊C4×C17—41no—
596C22⋊C4×C17—41no—
597C22⋊C4×C17—41no—
598C22⋊C4×C17—41no—
599C22⋊C4×C17—41no—
600C42×C17—22no—
601C42×C17—22no—
602C42×C17—41no—
603C42×C17—41no—
604C42×C17—41no—
605C42×C17—41no—
606C42×C17—41no—
607#36808C1711yesmaximal, characteristic, direct product factor, Sylow
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—28no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—21no—
638C23×C17—21no—
639C23×C17—21no—
640C23×C17—21no—
641C23×C17—21no—
642C23×C17—21no—
643C23×C17—21no—
644C23×C17—21no—
645C23×C17—21no—
646C23×C17—21no—
647C23×C17—21no—
648C23×C17—21no—
649C23×C17—21no—
650C23×C17—21no—
651C23×C17—21no—
652C23×C17—21no—
653C23×C17—21no—
654C23×C17—21no—
655C23×C17—21no—
656C23×C17—21no—
657C23×C17—21no—
658C23×C17—21no—
659C23×C17—21no—
660C23×C17—44no—
661C23×C17—44no—
662C23×C17—44no—
663C23×C17—44no—
664C23×C17—44no—
665C23×C17—44no—
666C23×C17—82no—
667C23×C17—82no—
668C23×C17—82no—
669C23×C17—82no—
670C23×C17—82no—
671C23×C17—82no—
672C23×C17—82no—
673C23×C17—82no—
674C23×C17—82no—
675C23×C17—82no—
676C23×C17—82no—
677C23×C17—82no—
678C23×C17—82no—
679C23×C17—82no—
680C23×C17C2×#4112yes—
681C23×C17C2×#4112yes—
682C23×C17C2×#4112yes—
683C23×C17H(5,𝔽2)12yes—
684C23×C17H(5,𝔽2)12yes—
685C23×C17C2511yescharacteristic
686Q8×C17—82no—
687D4×C17—44no—
688D4×C17—44no—
689D4×C17—44no—
690D4×C17—44no—
691D4×C17—44no—
692D4×C17—44no—
693D4×C17—44no—
694D4×C17—44no—
695D4×C17—44no—
696D4×C17—82no—
697D4×C17—82no—
698D4×C17—82no—
699D4×C17—82no—
700D4×C17—82no—
701D4×C17—82no—
702D4×C17—82no—
703D4×C17—82no—
704D4×C17—82no—
705D4×C17—82no—
706C2×C4×C17—28no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—21no—
721C2×C4×C17—21no—
722C2×C4×C17—21no—
723C2×C4×C17—21no—
724C2×C4×C17—21no—
725C2×C4×C17—21no—
726C2×C4×C17—21no—
727C2×C4×C17—21no—
728C2×C4×C17—21no—
729C2×C4×C17—21no—
730C2×C4×C17—21no—
731C2×C4×C17—21no—
732C2×C4×C17—21no—
733C2×C4×C17—21no—
734C2×C4×C17—21no—
735C2×C4×C17—21no—
736C2×C4×C17—21no—
737C2×C4×C17—21no—
738C2×C4×C17—21no—
739C2×C4×C17—21no—
740C2×C4×C17—21no—
741C2×C4×C17—21no—
742C2×C4×C17—21no—
743C2×C4×C17—21no—
744C2×C4×C17—21no—
745C2×C4×C17—21no—
746C2×C4×C17—21no—
747C2×C4×C17—21no—
748C2×C4×C17—21no—
749C2×C4×C17—21no—
750C2×C4×C17—21no—
751C2×C4×C17—21no—
752C2×C4×C17—21no—
753C2×C4×C17—21no—
754C2×C4×C17—21no—
755C2×C4×C17—21no—
756C2×C4×C17—21no—
757C2×C4×C17—21no—
758C2×C4×C17—21no—
759C2×C4×C17—21no—
760C2×C4×C17—21no—
761C2×C4×C17—21no—
762C2×C4×C17—21no—
763C2×C4×C17—21no—
764C2×C4×C17—21no—
765C2×C4×C17—21no—
766C2×C4×C17—21no—
767C2×C4×C17—21no—
768C2×C4×C17—21no—
769C2×C4×C17—21no—
770C2×C4×C17—21no—
771C2×C4×C17—21no—
772C2×C4×C17—21no—
773C2×C4×C17—44no—
774C2×C4×C17—44no—
775C2×C4×C17—44no—
776C2×C4×C17—82no—
777C2×C4×C17—82no—
778C2×C4×C17—82no—
779C2×C4×C17—82no—
780C2×C4×C17—82no—
781C2×C4×C17H(5,𝔽2)12yes—
782C2×C4×C17H(5,𝔽2)12yes—
783C2×C4×C17H(5,𝔽2)12yes—
784#2852C2×C1711yescharacteristic, complemented
785#2850C2×C1711yescharacteristic, complemented
786#2797C2×C1711yescharacteristic, complemented
787#2761C2×C1711yescharacteristic, complemented
788#2756C2×C1711yescharacteristic, complemented
789#2753C2×C1711yescharacteristic, complemented
790#2752C2×C1711yescharacteristic, complemented
791#2751C2×C1711yescharacteristic, complemented
792#2749C2×C1711yescharacteristic, complemented
793#2730C2×C1711yescharacteristic, complemented
794#2714C2×C1711yescharacteristic, complemented
795#2714C2×C1711yescharacteristic, complemented
796#2703C2×C1711yescharacteristic, complemented
797#2685C2×C1711yescharacteristic, complemented
798#2685C2×C1711yescharacteristic, complemented
799#2678C2×C1711yescharacteristic, complemented
800#2676C2×C1711yescharacteristic, complemented
801#2670C2×C1711yescharacteristic, complemented
802#2622C2×C1711yescharacteristic, complemented
803#2617C2×C1711yescharacteristic, complemented
804#2481C2×C1711yescharacteristic, complemented
805#2472C2×C1711yescharacteristic, complemented
806#2443C2×C1711yescharacteristic, complemented
807#2437C2×C1711yescharacteristic, complemented
808#2424C2×C1711yescharacteristic, complemented
809#2410C2×C1711yescharacteristic, complemented
810#2410C2×C1711yescharacteristic, complemented
811#2403C2×C1711yescharacteristic, complemented
812#2321C2×C1711yescharacteristic, complemented
813#2308C2×C1711yescharacteristic, complemented
814C2×#390C2×C1711yescharacteristic, complemented
815C22×C17—22no—
816C22×C17—22no—
817C22×C17—22no—
818C22×C17—22no—
819C22×C17—22no—
820C22×C17—22no—
821C22×C17—22no—
822C22×C17—22no—
823C22×C17—22no—
824C22×C17—22no—
825C22×C17—22no—
826C22×C17—22no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17—41no—
840C22×C17—41no—
841C22×C17—41no—
842C22×C17—41no—
843C22×C17—41no—
844C22×C17—41no—
845C22×C17—41no—
846C22×C17—41no—
847C22×C17—41no—
848C22×C17—41no—
849C22×C17—41no—
850C22×C17—41no—
851C22×C17—41no—
852C22×C17—41no—
853C22×C17—41no—
854C22×C17—41no—
855C22×C17—41no—
856C22×C17—41no—
857C22×C17—41no—
858C22×C17—41no—
859C22×C17—41no—
860C22×C17—41no—
861C22×C17—41no—
862C22×C17—41no—
863C22×C17—41no—
864C22×C17—41no—
865C22×C17—41no—
866C22×C17—41no—
867C22×C17—41no—
868C22×C17—41no—
869C22×C17—41no—
870C22×C17—88no—
871C22×C17—88no—
872C22×C17—88no—
873C22×C17#53814yes—
874C22×C17C22×#4111yescharacteristic
875C22×C17C2×H(5,𝔽2)11yescharacteristic
876C22×C17C2×H(5,𝔽2)11yescharacteristic
877C22×C17C2×H(5,𝔽2)11yescharacteristic
878C22×C17C2×H(5,𝔽2)11yescharacteristic
879C22×C17C2×H(5,𝔽2)11yescharacteristic
880C22×C17#58511yescharacteristic
881C4×C17—22no—
882C4×C17—22no—
883C4×C17—22no—
884C4×C17—41no—
885C4×C17—41no—
886C4×C17—41no—
887C4×C17—41no—
888C4×C17—41no—
889C4×C17—41no—
890C4×C17—41no—
891C4×C17—41no—
892C4×C17—41no—
893C4×C17—41no—
894C4×C17—41no—
895C4×C17—41no—
896C4×C17—41no—
897C4×C17—41no—
898C4×C17—41no—
899C4×C17—41no—
900C4×C17—41no—
901C4×C17—41no—
902C4×C17—41no—
903C4×C17—41no—
904C23×D4C22×C1711yescharacteristic
905C23×D4C22×C1711yescharacteristic
906C2×#126C22×C1711yescharacteristic, complemented
907C2×#126C22×C1711yescharacteristic, complemented
908C2×#124C22×C1711yescharacteristic, complemented
909C2×#124C22×C1711yescharacteristic, complemented
910C2×#123C22×C1711yescharacteristic, complemented
911C2×C22⋊Q8C22×C1711yescharacteristic, complemented
912C2×C22⋊Q8C22×C1711yescharacteristic, complemented
913C2×#121C22×C1711yescharacteristic
914C2×#121C22×C1711yescharacteristic
915C2×#121C22×C1711yescharacteristic, complemented
916C2×#121C22×C1711yescharacteristic, complemented
917C2×#121C22×C1711yescharacteristic, complemented
918C2×#120C22×C1711yescharacteristic
919C2×#120C22×C1711yescharacteristic
920C2×#120C22×C1711yescharacteristic
921C2×#120C22×C1711yescharacteristic
922C2×#120C22×C1711yescharacteristic
923C2×#120C22×C1711yescharacteristic, complemented
924C2×#120C22×C1711yescharacteristic, complemented
925C2×C4×D4C22×C1711yescharacteristic, complemented
926C22×C4⋊C4C22×C1711yescharacteristic, complemented
927C22×C22⋊C4C22×C1711yescharacteristic
928C22×C22⋊C4C22×C1711yescharacteristic
929C22×C22⋊C4C22×C1711yescharacteristic
930C22×C22⋊C4C22×C1711yescharacteristic, complemented
931C22×C22⋊C4C22×C1711yescharacteristic, complemented
932C22×C42C22×C1711yescharacteristic, complemented
933#400C22×C1711yescharacteristic, complemented
934#400C22×C1711yescharacteristic, complemented
935#399C22×C1711yescharacteristic, complemented
936#399C22×C1711yescharacteristic, complemented
937#398C22×C1711yescharacteristic, complemented
938#397C22×C1711yescharacteristic, complemented
939#397C22×C1711yescharacteristic, complemented
940#397C22×C1711yescharacteristic, complemented
941#397C22×C1711yescharacteristic, complemented
942#397C22×C1711yescharacteristic, complemented
943#397C22×C1711yescharacteristic, complemented
944#397C22×C1711yescharacteristic, complemented
945#397C22×C1711yescharacteristic, complemented
946#397C22×C1711yescharacteristic, complemented
947#396C22×C1711yescharacteristic, complemented
948#396C22×C1711yescharacteristic, complemented
949#396C22×C1711yescharacteristic, complemented
950#396C22×C1711yescharacteristic, complemented
951#394C22×C1711yescharacteristic
952#394C22×C1711yescharacteristic
953#394C22×C1711yescharacteristic, complemented
954#394C22×C1711yescharacteristic, complemented
955#394C22×C1711yescharacteristic, complemented
956#394C22×C1711yescharacteristic, complemented
957#394C22×C1711yescharacteristic, complemented
958#394C22×C1711yescharacteristic, complemented
959#394C22×C1711yescharacteristic, complemented
960#394C22×C1711yescharacteristic, complemented
961#394C22×C1711yescharacteristic, complemented
962#394C22×C1711yescharacteristic, complemented
963#394C22×C1711yescharacteristic, complemented
964#394C22×C1711yescharacteristic, complemented
965#394C22×C1711yescharacteristic, complemented
966#394C22×C1711yescharacteristic, complemented
967#394C22×C1711yescharacteristic, complemented
968#393C22×C1711yescharacteristic, complemented
969#393C22×C1711yescharacteristic, complemented
970#392C22×C1711yescharacteristic
971#392C22×C1711yescharacteristic
972#392C22×C1711yescharacteristic
973#392C22×C1711yescharacteristic
974#392C22×C1711yescharacteristic
975#392C22×C1711yescharacteristic
976#392C22×C1711yescharacteristic, complemented
977#392C22×C1711yescharacteristic, complemented
978#392C22×C1711yescharacteristic, complemented
979#392C22×C1711yescharacteristic, complemented
980#392C22×C1711yescharacteristic, complemented
981#391C22×C1711yescharacteristic, complemented
982#390C22×C1711yescharacteristic
983#390C22×C1711yescharacteristic
984#390C22×C1711yescharacteristic
985#390C22×C1711yescharacteristic
986#390C22×C1711yescharacteristic, complemented
987#390C22×C1711yescharacteristic, complemented
988#390C22×C1711yescharacteristic, complemented
989#390C22×C1711yescharacteristic, complemented
990#390C22×C1711yescharacteristic, complemented
991#390C22×C1711yescharacteristic, complemented
992#390C22×C1711yescharacteristic, complemented
993#390C22×C1711yescharacteristic, complemented
994#390C22×C1711yescharacteristic, complemented
995#388C22×C1711yescharacteristic, complemented
996#388C22×C1711yescharacteristic, complemented
997#388C22×C1711yescharacteristic, complemented
998#388C22×C1711yescharacteristic, complemented
999#388C22×C1711yescharacteristic, complemented
1000#388C22×C1711yescharacteristic, complemented
1001#388C22×C1711yescharacteristic, complemented
1002#388C22×C1711yescharacteristic, complemented
1003#388C22×C1711yescharacteristic, complemented
1004#388C22×C1711yescharacteristic, complemented
1005#388C22×C1711yescharacteristic, complemented
1006#388C22×C1711yescharacteristic, complemented
1007#388C22×C1711yescharacteristic, complemented
1008#388C22×C1711yescharacteristic, complemented
1009#388C22×C1711yescharacteristic, complemented
1010#388C22×C1711yescharacteristic, complemented
1011#387C22×C1711yescharacteristic, complemented
1012#387C22×C1711yescharacteristic, complemented
1013#387C22×C1711yescharacteristic, complemented
1014#387C22×C1711yescharacteristic, complemented
1015#387C22×C1711yescharacteristic, complemented
1016#387C22×C1711yescharacteristic, complemented
1017#386C22×C1711yescharacteristic
1018#386C22×C1711yescharacteristic
1019#386C22×C1711yescharacteristic
1020#386C22×C1711yescharacteristic
1021#386C22×C1711yescharacteristic
1022#386C22×C1711yescharacteristic
1023#386C22×C1711yescharacteristic
1024#386C22×C1711yescharacteristic
1025#386C22×C1711yescharacteristic
1026#386C22×C1711yescharacteristic
1027#386C22×C1711yescharacteristic, complemented
1028#386C22×C1711yescharacteristic, complemented
1029#386C22×C1711yescharacteristic, complemented
1030#386C22×C1711yescharacteristic, complemented
1031#386C22×C1711yescharacteristic, complemented
1032#386C22×C1711yescharacteristic, complemented
1033#386C22×C1711yescharacteristic, complemented
1034#386C22×C1711yescharacteristic, complemented
1035#386C22×C1711yescharacteristic, complemented
1036#386C22×C1711yescharacteristic, complemented
1037#386C22×C1711yescharacteristic, complemented
1038#386C22×C1711yescharacteristic, complemented
1039#385C22×C1711yescharacteristic, complemented
1040#385C22×C1711yescharacteristic, complemented
1041#385C22×C1711yescharacteristic, complemented
1042#385C22×C1711yescharacteristic, complemented
1043#385C22×C1711yescharacteristic, complemented
1044#385C22×C1711yescharacteristic, complemented
1045#385C22×C1711yescharacteristic, complemented
1046#385C22×C1711yescharacteristic, complemented
1047#383C22×C1711yescharacteristic, complemented
1048#382C22×C1711yescharacteristic, complemented
1049#381C22×C1711yescharacteristic, complemented
1050#381C22×C1711yescharacteristic, complemented
1051#380C22×C1711yescharacteristic, complemented
1052#380C22×C1711yescharacteristic, complemented
1053#379C22×C1711yescharacteristic
1054#379C22×C1711yescharacteristic, complemented
1055#379C22×C1711yescharacteristic, complemented
1056#379C22×C1711yescharacteristic, complemented
1057#379C22×C1711yescharacteristic, complemented
1058C4×C22⋊C4C22×C1711yescharacteristic, complemented
1059C2×C17—24no—
1060C2×C17—42no—
1061C2×C17—42no—
1062C2×C17—81no—
1063C2×C17—81no—
1064C2×C17—81no—
1065C2×C17—81no—
1066C2×C17—81no—
1067C2×C17C2×#53811yescharacteristic
1068C2×C17#349011yescharacteristic
1069C2×C17#350511yescharacteristic
1070C2×C17#353711yescharacteristic
1071C2×C17#354211yescharacteristic
1072C2×C17#354311yescharacteristic
1073C2×C17#355811yescharacteristic
1074C25C23×C1711yescharacteristic
1075C25C23×C1711yescharacteristic
1076C25C23×C1711yescharacteristic
1077C22×Q8C23×C1711yescharacteristic
1078C22×D4—24no—
1079C22×D4—24no—
1080C22×D4—42no—
1081C22×D4—42no—
1082C22×D4—42no—
1083C22×D4—42no—
1084C22×D4C23×C1711yescharacteristic
1085C22×D4C23×C1711yescharacteristic
1086C22×D4C23×C1711yescharacteristic
1087C22×D4C23×C1711yescharacteristic
1088C22×D4C23×C1711yescharacteristic
1089C22×D4C23×C1711yescharacteristic
1090C22×D4C23×C1711yescharacteristic
1091C22×D4C23×C1711yescharacteristic
1092C22×D4C23×C1711yescharacteristic
1093C22×D4C23×C1711yescharacteristic
1094C22×D4C23×C1711yescharacteristic
1095C22×D4C23×C1711yescharacteristic
1096C22×D4C23×C1711yescharacteristic
1097C22×D4C23×C1711yescharacteristic
1098C22×D4C23×C1711yescharacteristic
1099C22×D4C23×C1711yescharacteristic
1100C22×D4C23×C1711yescharacteristic
1101C22×D4C23×C1711yescharacteristic
1102C22×D4C23×C1711yescharacteristic
1103C23×C4C23×C1711yescharacteristic
1104C23×C4C23×C1711yescharacteristic
1105C23×C4C23×C1711yescharacteristic
1106C23×C4C23×C1711yescharacteristic
1107C23×C4C23×C1711yescharacteristic
1108C23×C4C23×C1711yescharacteristic
1109C23×C4C23×C1711yescharacteristic
1110C23×C4C23×C1711yescharacteristic
1111C23×C4C23×C1711yescharacteristic
1112#126—42no—
1113#126—42no—
1114#124—42no—
1115#124—42no—
1116#123—42no—
1117C22⋊Q8—42no—
1118C22⋊Q8—42no—
1119#121—42no—
1120#121—42no—
1121#121—42no—
1122#121—42no—
1123#121—42no—
1124#120—24no—
1125#120—42no—
1126#120—42no—
1127#120—42no—
1128#120—42no—
1129#120—42no—
1130#120—42no—
1131C4×D4—42no—
1132C2×C4⋊C4—42no—
1133C2×C4⋊C4C23×C1711yescharacteristic
1134C2×C4⋊C4C23×C1711yescharacteristic
1135C2×C4⋊C4C23×C1711yescharacteristic
1136C2×C4⋊C4C23×C1711yescharacteristic
1137C2×C4⋊C4C23×C1711yescharacteristic
1138C2×C4⋊C4C23×C1711yescharacteristic
1139C2×C4⋊C4C23×C1711yescharacteristic
1140C2×C4⋊C4C23×C1711yescharacteristic
1141C2×C4⋊C4C23×C1711yescharacteristic
1142C2×C4⋊C4C23×C1711yescharacteristic
1143C2×C4⋊C4C23×C1711yescharacteristic
1144C2×C4⋊C4C23×C1711yescharacteristic
1145C2×C4⋊C4C23×C1711yescharacteristic
1146C2×C4⋊C4C23×C1711yescharacteristic
1147C2×C4⋊C4C23×C1711yescharacteristic
1148C2×C4⋊C4C23×C1711yescharacteristic
1149C2×C4⋊C4C23×C1711yescharacteristic
1150C2×C4⋊C4C23×C1711yescharacteristic
1151C2×C4⋊C4C23×C1711yescharacteristic
1152C2×C4⋊C4C23×C1711yescharacteristic
1153C2×C22⋊C4—42no—
1154C2×C22⋊C4—42no—
1155C2×C22⋊C4—42no—
1156C2×C22⋊C4—42no—
1157C2×C22⋊C4—42no—
1158C2×C22⋊C4C23×C1711yescharacteristic
1159C2×C22⋊C4C23×C1711yescharacteristic
1160C2×C22⋊C4C23×C1711yescharacteristic
1161C2×C22⋊C4C23×C1711yescharacteristic
1162C2×C22⋊C4C23×C1711yescharacteristic
1163C2×C22⋊C4C23×C1711yescharacteristic
1164C2×C22⋊C4C23×C1711yescharacteristic
1165C2×C22⋊C4C23×C1711yescharacteristic
1166C2×C22⋊C4C23×C1711yescharacteristic
1167C2×C22⋊C4C23×C1711yescharacteristic
1168C2×C22⋊C4C23×C1711yescharacteristic
1169C2×C22⋊C4C23×C1711yescharacteristic
1170C2×C22⋊C4C23×C1711yescharacteristic
1171C2×C22⋊C4C23×C1711yescharacteristic
1172C2×C22⋊C4C23×C1711yescharacteristic
1173C2×C22⋊C4C23×C1711yescharacteristic
1174C2×C22⋊C4C23×C1711yescharacteristic
1175C2×C22⋊C4C23×C1711yescharacteristic
1176C2×C22⋊C4C23×C1711yescharacteristic
1177C2×C22⋊C4C23×C1711yescharacteristic
1178C2×C22⋊C4C23×C1711yescharacteristic
1179C2×C22⋊C4C23×C1711yescharacteristic
1180C2×C22⋊C4C23×C1711yescharacteristic
1181C2×C22⋊C4C23×C1711yescharacteristic
1182C2×C22⋊C4C23×C1711yescharacteristic
1183C2×C22⋊C4C23×C1711yescharacteristic
1184C2×C22⋊C4C23×C1711yescharacteristic
1185C2×C22⋊C4C23×C1711yescharacteristic
1186C2×C22⋊C4C23×C1711yescharacteristic
1187C2×C22⋊C4C23×C1711yescharacteristic
1188C2×C22⋊C4C23×C1711yescharacteristic
1189C2×C22⋊C4C23×C1711yescharacteristic
1190C2×C22⋊C4C23×C1711yescharacteristic
1191C2×C22⋊C4C23×C1711yescharacteristic
1192C2×C22⋊C4C23×C1711yescharacteristic
1193C2×C22⋊C4C23×C1711yescharacteristic
1194C2×C22⋊C4C23×C1711yescharacteristic
1195C2×C22⋊C4C23×C1711yescharacteristic
1196C2×C22⋊C4C23×C1711yescharacteristic
1197C2×C22⋊C4C23×C1711yescharacteristic
1198C2×C22⋊C4C23×C1711yescharacteristic
1199C2×C22⋊C4C23×C1711yescharacteristic
1200C2×C22⋊C4C23×C1711yescharacteristic
1201C2×C22⋊C4C23×C1711yescharacteristic
1202C2×C22⋊C4C23×C1711yescharacteristic
1203C2×C22⋊C4C23×C1711yescharacteristic
1204C2×C22⋊C4C23×C1711yescharacteristic
1205C2×C22⋊C4C23×C1711yescharacteristic
1206C2×C22⋊C4C23×C1711yescharacteristic
1207C2×C22⋊C4C23×C1711yescharacteristic
1208C2×C22⋊C4C23×C1711yescharacteristic
1209C2×C22⋊C4C23×C1711yescharacteristic
1210C2×C22⋊C4C23×C1711yescharacteristic
1211C2×C22⋊C4C23×C1711yescharacteristic
1212C2×C22⋊C4C23×C1711yescharacteristic
1213C2×C22⋊C4C23×C1711yescharacteristic
1214C2×C22⋊C4C23×C1711yescharacteristic
1215C2×C22⋊C4C23×C1711yescharacteristic
1216C2×C22⋊C4C23×C1711yescharacteristic
1217C2×C22⋊C4C23×C1711yescharacteristic
1218C2×C22⋊C4C23×C1711yescharacteristic
1219C2×C22⋊C4C23×C1711yescharacteristic
1220C2×C22⋊C4C23×C1711yescharacteristic
1221C2×C22⋊C4C23×C1711yescharacteristic
1222C2×C42—42no—
1223C2×C42C23×C1711yescharacteristic
1224C2×C42C23×C1711yescharacteristic
1225C2×C42C23×C1711yescharacteristic
1226C2×C42C23×C1711yescharacteristic
1227C2×C42C23×C1711yescharacteristic
1228C2×C42C23×C1711yescharacteristic
1229C2×C42C23×C1711yescharacteristic
1230#95C23×C1711yescharacteristic
1231#95C23×C1711yescharacteristic
1232#95C23×C1711yescharacteristic
1233#95C23×C1711yescharacteristic
1234#95C23×C1711yescharacteristic
1235#95C23×C1711yescharacteristic
1236#95C23×C1711yescharacteristic
1237#95C23×C1711yescharacteristic
1238#95C23×C1711yescharacteristic
1239#95C23×C1711yescharacteristic
1240#95C23×C1711yescharacteristic
1241#95C23×C1711yescharacteristic
1242#95C23×C1711yescharacteristic
1243#95C23×C1711yescharacteristic
1244#95C23×C1711yescharacteristic
1245#95C23×C1711yescharacteristic
1246#95C23×C1711yescharacteristic
1247#95C23×C1711yescharacteristic
1248#95C23×C1711yescharacteristic
1249#95C23×C1711yescharacteristic
1250#95C23×C1711yescharacteristic
1251#95C23×C1711yescharacteristic
1252#95C23×C1711yescharacteristic
1253#95C23×C1711yescharacteristic
1254#95C23×C1711yescharacteristic
1255#95C23×C1711yescharacteristic
1256#95C23×C1711yescharacteristic
1257#95C23×C1711yescharacteristic
1258#95C23×C1711yescharacteristic
1259#95C23×C1711yescharacteristic
1260#95C23×C1711yescharacteristic
1261#95C23×C1711yescharacteristic
1262C17#3680811yescharacteristic, direct product factor, Sylow
1263C24—22no—
1264C24—22no—
1265C24—22no—
1266C24—22no—
1267C24—22no—
1268C24—22no—
1269C24—41no—
1270C24—41no—
1271C24—41no—
1272C24—41no—
1273C24—41no—
1274C24—41no—
1275C24—41no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—41no—
1282C24—41no—
1283C24#41×C1714yes—
1284C24C24×C1711yescharacteristic
1285C24C24×C1711yescharacteristic
1286C24C24×C1711yescharacteristic
1287C24C24×C1711yescharacteristic
1288C24C24×C1711yescharacteristic
1289C24C24×C1711yescharacteristic
1290C24C24×C1711yescharacteristic
1291C24C24×C1711yescharacteristic
1292C2×Q8—22no—
1293C2×Q8—41no—
1294C2×Q8—41no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—416no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—416no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—41no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4C24×C1711yescharacteristic
1382C22×C4C24×C1711yescharacteristic
1383C22×C4C24×C1711yescharacteristic
1384C22×C4C24×C1711yescharacteristic
1385C22×C4C24×C1711yescharacteristic
1386C22×C4C24×C1711yescharacteristic
1387C22×C4C24×C1711yescharacteristic
1388C22×C4C24×C1711yescharacteristic
1389C22×C4C24×C1711yescharacteristic
1390C22×C4C24×C1711yescharacteristic
1391C22×C4C24×C1711yescharacteristic
1392C22×C4C24×C1711yescharacteristic
1393C22×C4C24×C1711yescharacteristic
1394C22×C4C24×C1711yescharacteristic
1395C22×C4C24×C1711yescharacteristic
1396C22×C4C24×C1711yescharacteristic
1397C22×C4C24×C1711yescharacteristic
1398C22×C4C24×C1711yescharacteristic
1399C22×C4C24×C1711yescharacteristic
1400C22×C4C24×C1711yescharacteristic
1401C22×C4C24×C1711yescharacteristic
1402C22×C4C24×C1711yescharacteristic
1403C22×C4C24×C1711yescharacteristic
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—41no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—41no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C42—22no—
1489C42—22no—
1490C42—41no—
1491C42—41no—
1492C42—41no—
1493C42—41no—
1494C42—41no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—28no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—82no—
1554C23—82no—
1555C23—82no—
1556C23—82no—
1557C23—82no—
1558C23—82no—
1559C23—82no—
1560C23—82no—
1561C23—82no—
1562C23—82no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23C2×#41×C1712yes—
1568C23C2×#41×C1712yes—
1569C23C2×#41×C1712yes—
1570C23C17×H(5,𝔽2)12yes—
1571C23C17×H(5,𝔽2)12yes—
1572C23C25×C1711yescharacteristic
1573Q8—82no—
1574D4—44no—
1575D4—44no—
1576D4—44no—
1577D4—44no—
1578D4—44no—
1579D4—44no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—82no—
1584D4—82no—
1585D4—82no—
1586D4—82no—
1587D4—82no—
1588D4—82no—
1589D4—82no—
1590D4—82no—
1591D4—82no—
1592D4—82no—
1593C2×C4—28no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—82no—
1664C2×C4—82no—
1665C2×C4—82no—
1666C2×C4—82no—
1667C2×C4—82no—
1668C2×C4C17×H(5,𝔽2)12yes—
1669C2×C4C17×H(5,𝔽2)12yes—
1670C2×C4C17×H(5,𝔽2)12yes—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—88no—
1727C22—88no—
1728C22—88no—
1729C22C17×#53814yes—
1730C22C22×#41×C1711yescharacteristic
1731C22C2×C17×H(5,𝔽2)11yescharacteristic
1732C22C2×C17×H(5,𝔽2)11yescharacteristic
1733C22C2×C17×H(5,𝔽2)11yescharacteristic
1734C22C2×C17×H(5,𝔽2)11yescharacteristic
1735C22C2×C17×H(5,𝔽2)11yescharacteristic
1736C22C17×#58511yescharacteristic
1737C4—22no—
1738C4—22no—
1739C4—22no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C2—24no—
1761C2—42no—
1762C2—42no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—81no—
1768C2C2×C17×#53811yescharacteristic
1769C2C17×#349011yescharacteristic
1770C2C17×#350511yescharacteristic
1771C2C17×#353711yescharacteristic
1772C2C17×#354211yescharacteristic
1773C2C17×#354311yescharacteristic
1774C2C17×#355811yescharacteristic
subgroupG/H
center, socleC23×C17C25
commutator, Frattini, cosocleC23C25×C17
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C17 ◁ G

Complements

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

NH ≅ G/Ntype
1. C17×#2852C2semidirect
2. C17×#2850C2semidirect
3. C17×#2797C2semidirect
4. C17×#2761C2semidirect
5. C17×#2756C2semidirect
6. C17×#2753C2semidirect
7. C17×#2752C2semidirect
8. C17×#2751C2semidirect
9. C17×#2749C2semidirect
10. C17×#2730C2semidirect
11. C17×#2714C2semidirect
12. C17×#2714C2semidirect
13. C17×#2703C2semidirect
14. C17×#2685C2semidirect
15. C17×#2685C2semidirect
16. C17×#2678C2semidirect
17. C17×#2676C2semidirect
18. C17×#2670C2semidirect
19. C17×#2622C2semidirect
20. C17×#2617C2semidirect
21. C17×#2481C2semidirect
22. C17×#2472C2semidirect
23. C17×#2443C2semidirect
24. C17×#2437C2semidirect
25. C17×#2424C2semidirect
26. C17×#2410C2semidirect
27. C17×#2410C2semidirect
28. C17×#2403C2semidirect
29. C17×#2321C2semidirect
30. C17×#2308C2semidirect
31. C2×C17×#390C2semidirect
34. C2×C17×#126C22semidirect
35. C2×C17×#126C22semidirect
36. C2×C17×#124C22semidirect
37. C2×C17×#124C22semidirect
38. C2×C17×#123C22semidirect
39. C2×C17×C22⋊Q8C22semidirect
40. C2×C17×C22⋊Q8C22semidirect
43. C2×C17×#121C22semidirect
44. C2×C17×#121C22semidirect
45. C2×C17×#121C22semidirect
51. C2×C17×#120C22semidirect
52. C2×C17×#120C22semidirect
53. C2×C4×D4×C17C22semidirect
54. C22×C4⋊C4×C17C22semidirect
58. C22×C22⋊C4×C17C22semidirect
59. C22×C22⋊C4×C17C22semidirect
60. C22×C42×C17C22semidirect
61. C17×#400C22semidirect
62. C17×#400C22semidirect
63. C17×#399C22semidirect
64. C17×#399C22semidirect
65. C17×#398C22semidirect
66. C17×#397C22semidirect
67. C17×#397C22semidirect
68. C17×#397C22semidirect
69. C17×#397C22semidirect
70. C17×#397C22semidirect
71. C17×#397C22semidirect
72. C17×#397C22semidirect
73. C17×#397C22semidirect
74. C17×#397C22semidirect
75. C17×#396C22semidirect
76. C17×#396C22semidirect
77. C17×#396C22semidirect
78. C17×#396C22semidirect
81. C17×#394C22semidirect
82. C17×#394C22semidirect
83. C17×#394C22semidirect
84. C17×#394C22semidirect
85. C17×#394C22semidirect
86. C17×#394C22semidirect
87. C17×#394C22semidirect
88. C17×#394C22semidirect
89. C17×#394C22semidirect
90. C17×#394C22semidirect
91. C17×#394C22semidirect
92. C17×#394C22semidirect
93. C17×#394C22semidirect
94. C17×#394C22semidirect
95. C17×#394C22semidirect
96. C17×#393C22semidirect
97. C17×#393C22semidirect
104. C17×#392C22semidirect
105. C17×#392C22semidirect
106. C17×#392C22semidirect
107. C17×#392C22semidirect
108. C17×#392C22semidirect
109. C17×#391C22semidirect
114. C17×#390C22semidirect
115. C17×#390C22semidirect
116. C17×#390C22semidirect
117. C17×#390C22semidirect
118. C17×#390C22semidirect
119. C17×#390C22semidirect
120. C17×#390C22semidirect
121. C17×#390C22semidirect
122. C17×#390C22semidirect
123. C17×#388C22semidirect
124. C17×#388C22semidirect
125. C17×#388C22semidirect
126. C17×#388C22semidirect
127. C17×#388C22semidirect
128. C17×#388C22semidirect
129. C17×#388C22semidirect
130. C17×#388C22semidirect
131. C17×#388C22semidirect
132. C17×#388C22semidirect
133. C17×#388C22semidirect
134. C17×#388C22semidirect
135. C17×#388C22semidirect
136. C17×#388C22semidirect
137. C17×#388C22semidirect
138. C17×#388C22semidirect
139. C17×#387C22semidirect
140. C17×#387C22semidirect
141. C17×#387C22semidirect
142. C17×#387C22semidirect
143. C17×#387C22semidirect
144. C17×#387C22semidirect
155. C17×#386C22semidirect
156. C17×#386C22semidirect
157. C17×#386C22semidirect
158. C17×#386C22semidirect
159. C17×#386C22semidirect
160. C17×#386C22semidirect
161. C17×#386C22semidirect
162. C17×#386C22semidirect
163. C17×#386C22semidirect
164. C17×#386C22semidirect
165. C17×#386C22semidirect
166. C17×#386C22semidirect
167. C17×#385C22semidirect
168. C17×#385C22semidirect
169. C17×#385C22semidirect
170. C17×#385C22semidirect
171. C17×#385C22semidirect
172. C17×#385C22semidirect
173. C17×#385C22semidirect
174. C17×#385C22semidirect
175. C17×#383C22semidirect
176. C17×#382C22semidirect
177. C17×#381C22semidirect
178. C17×#381C22semidirect
179. C17×#380C22semidirect
180. C17×#380C22semidirect
182. C17×#379C22semidirect
183. C17×#379C22semidirect
184. C17×#379C22semidirect
185. C17×#379C22semidirect
186. C4×C22⋊C4×C17C22semidirect
607. #36808C17direct (N × H)
784. #2852C2×C17semidirect
785. #2850C2×C17semidirect
786. #2797C2×C17semidirect
787. #2761C2×C17semidirect
788. #2756C2×C17semidirect
789. #2753C2×C17semidirect
790. #2752C2×C17semidirect
791. #2751C2×C17semidirect
792. #2749C2×C17semidirect
793. #2730C2×C17semidirect
794. #2714C2×C17semidirect
795. #2714C2×C17semidirect
796. #2703C2×C17semidirect
797. #2685C2×C17semidirect
798. #2685C2×C17semidirect
799. #2678C2×C17semidirect
800. #2676C2×C17semidirect
801. #2670C2×C17semidirect
802. #2622C2×C17semidirect
803. #2617C2×C17semidirect
804. #2481C2×C17semidirect
805. #2472C2×C17semidirect
806. #2443C2×C17semidirect
807. #2437C2×C17semidirect
808. #2424C2×C17semidirect
809. #2410C2×C17semidirect
810. #2410C2×C17semidirect
811. #2403C2×C17semidirect
812. #2321C2×C17semidirect
813. #2308C2×C17semidirect
814. C2×#390C2×C17semidirect
906. C2×#126C22×C17semidirect
907. C2×#126C22×C17semidirect
908. C2×#124C22×C17semidirect
909. C2×#124C22×C17semidirect
910. C2×#123C22×C17semidirect
911. C2×C22⋊Q8C22×C17semidirect
912. C2×C22⋊Q8C22×C17semidirect
915. C2×#121C22×C17semidirect
916. C2×#121C22×C17semidirect
917. C2×#121C22×C17semidirect
923. C2×#120C22×C17semidirect
924. C2×#120C22×C17semidirect
925. C2×C4×D4C22×C17semidirect
926. C22×C4⋊C4C22×C17semidirect
930. C22×C22⋊C4C22×C17semidirect
931. C22×C22⋊C4C22×C17semidirect
932. C22×C42C22×C17semidirect
933. #400C22×C17semidirect
934. #400C22×C17semidirect
935. #399C22×C17semidirect
936. #399C22×C17semidirect
937. #398C22×C17semidirect
938. #397C22×C17semidirect
939. #397C22×C17semidirect
940. #397C22×C17semidirect
941. #397C22×C17semidirect
942. #397C22×C17semidirect
943. #397C22×C17semidirect
944. #397C22×C17semidirect
945. #397C22×C17semidirect
946. #397C22×C17semidirect
947. #396C22×C17semidirect
948. #396C22×C17semidirect
949. #396C22×C17semidirect
950. #396C22×C17semidirect
953. #394C22×C17semidirect
954. #394C22×C17semidirect
955. #394C22×C17semidirect
956. #394C22×C17semidirect
957. #394C22×C17semidirect
958. #394C22×C17semidirect
959. #394C22×C17semidirect
960. #394C22×C17semidirect
961. #394C22×C17semidirect
962. #394C22×C17semidirect
963. #394C22×C17semidirect
964. #394C22×C17semidirect
965. #394C22×C17semidirect
966. #394C22×C17semidirect
967. #394C22×C17semidirect
968. #393C22×C17semidirect
969. #393C22×C17semidirect
976. #392C22×C17semidirect
977. #392C22×C17semidirect
978. #392C22×C17semidirect
979. #392C22×C17semidirect
980. #392C22×C17semidirect
981. #391C22×C17semidirect
986. #390C22×C17semidirect
987. #390C22×C17semidirect
988. #390C22×C17semidirect
989. #390C22×C17semidirect
990. #390C22×C17semidirect
991. #390C22×C17semidirect
992. #390C22×C17semidirect
993. #390C22×C17semidirect
994. #390C22×C17semidirect
995. #388C22×C17semidirect
996. #388C22×C17semidirect
997. #388C22×C17semidirect
998. #388C22×C17semidirect
999. #388C22×C17semidirect
1000. #388C22×C17semidirect
1001. #388C22×C17semidirect
1002. #388C22×C17semidirect
1003. #388C22×C17semidirect
1004. #388C22×C17semidirect
1005. #388C22×C17semidirect
1006. #388C22×C17semidirect
1007. #388C22×C17semidirect
1008. #388C22×C17semidirect
1009. #388C22×C17semidirect
1010. #388C22×C17semidirect
1011. #387C22×C17semidirect
1012. #387C22×C17semidirect
1013. #387C22×C17semidirect
1014. #387C22×C17semidirect
1015. #387C22×C17semidirect
1016. #387C22×C17semidirect
1027. #386C22×C17semidirect
1028. #386C22×C17semidirect
1029. #386C22×C17semidirect
1030. #386C22×C17semidirect
1031. #386C22×C17semidirect
1032. #386C22×C17semidirect
1033. #386C22×C17semidirect
1034. #386C22×C17semidirect
1035. #386C22×C17semidirect
1036. #386C22×C17semidirect
1037. #386C22×C17semidirect
1038. #386C22×C17semidirect
1039. #385C22×C17semidirect
1040. #385C22×C17semidirect
1041. #385C22×C17semidirect
1042. #385C22×C17semidirect
1043. #385C22×C17semidirect
1044. #385C22×C17semidirect
1045. #385C22×C17semidirect
1046. #385C22×C17semidirect
1047. #383C22×C17semidirect
1048. #382C22×C17semidirect
1049. #381C22×C17semidirect
1050. #381C22×C17semidirect
1051. #380C22×C17semidirect
1052. #380C22×C17semidirect
1054. #379C22×C17semidirect
1055. #379C22×C17semidirect
1056. #379C22×C17semidirect
1057. #379C22×C17semidirect
1058. C4×C22⋊C4C22×C17semidirect
1262. C17#36808direct (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×#27972
C17×#27612
C17×#27562
C17×#27532
C17×#27522
C17×#27512
C17×#27492
C17×#27302
C17×#27142
C17×#27032
C17×#26852
C17×#26782
C17×#26762
C17×#26702
C17×#26222
C17×#26172
C17×#24812
C17×#24722
C17×#24432
C17×#24372
C17×#24242
C17×#24102
C17×#24032
C17×#23212
C17×#23082
C2×C17×#3902
#3680817