Finite Group Databasebeta

← C17×#36776 #16894520

Subgroups — C17×#36776 #16894520

Order 4352.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#2849C211yesmaximal, characteristic, complemented
2C17×#2847C211yesmaximal, characteristic, complemented
3C17×#2778C211yesmaximal, characteristic, complemented
4C17×#2778C211yesmaximal, characteristic, complemented
5C17×#2760C211yesmaximal, characteristic, complemented
6C17×#2750C211yesmaximal, characteristic, complemented
7C17×#2749C211yesmaximal, characteristic, complemented
8C17×#2749C211yesmaximal, characteristic, complemented
9C17×#2743C211yesmaximal, characteristic, complemented
10C17×#2703C211yesmaximal, characteristic, complemented
11C17×#2697C211yesmaximal, characteristic, complemented
12C17×#2696C211yesmaximal, characteristic, complemented
13C17×#2688C211yesmaximal, characteristic, complemented
14C17×#2688C211yesmaximal, characteristic, complemented
15C17×#2684C211yesmaximal, characteristic, complemented
16C17×#2678C211yesmaximal, characteristic, complemented
17C17×#2676C211yesmaximal, characteristic, complemented
18C17×#2668C211yesmaximal, characteristic, complemented
19C17×#2643C211yesmaximal, characteristic, complemented
20C17×#2639C211yesmaximal, characteristic, complemented
21C17×#2510C211yesmaximal, characteristic, complemented
22C17×#2472C211yesmaximal, characteristic, complemented
23C17×#2444C211yesmaximal, 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×#386C211yesmaximal, characteristic, complemented
32C23×D4×C17C2211yescharacteristic
33C23×D4×C17C2211yescharacteristic
34C24×C4×C17C2211yescharacteristic, complemented
35C2×C17×#124C2211yescharacteristic, complemented
36C2×C17×#123C2211yescharacteristic, complemented
37C2×C17×#123C2211yescharacteristic, complemented
38C2×C17×C22⋊Q8C2211yescharacteristic, complemented
39C2×C17×C22⋊Q8C2211yescharacteristic, complemented
40C2×C17×#121C2211yescharacteristic
41C2×C17×#121C2211yescharacteristic
42C2×C17×#121C2211yescharacteristic, complemented
43C2×C17×#121C2211yescharacteristic, complemented
44C2×C17×#121C2211yescharacteristic, complemented
45C2×C17×#121C2211yescharacteristic, complemented
46C2×C17×#121C2211yescharacteristic, complemented
47C2×C17×#120C2211yescharacteristic
48C2×C17×#120C2211yescharacteristic
49C2×C17×#120C2211yescharacteristic
50C2×C17×#120C2211yescharacteristic
51C2×C17×#120C2211yescharacteristic
52C2×C17×#120C2211yescharacteristic, complemented
53C2×C17×#120C2211yescharacteristic, complemented
54C2×C4×D4×C17C2211yescharacteristic, complemented
55C22×C22⋊C4×C17C2211yescharacteristic
56C22×C22⋊C4×C17C2211yescharacteristic
57C22×C22⋊C4×C17C2211yescharacteristic
58C22×C22⋊C4×C17C2211yescharacteristic, complemented
59C17×#401C2211yescharacteristic, complemented
60C17×#401C2211yescharacteristic, complemented
61C17×#400C2211yescharacteristic, complemented
62C17×#400C2211yescharacteristic, complemented
63C17×#400C2211yescharacteristic, complemented
64C17×#400C2211yescharacteristic, complemented
65C17×#400C2211yescharacteristic, complemented
66C17×#400C2211yescharacteristic, complemented
67C17×#400C2211yescharacteristic, complemented
68C17×#399C2211yescharacteristic, complemented
69C17×#397C2211yescharacteristic, complemented
70C17×#397C2211yescharacteristic, complemented
71C17×#397C2211yescharacteristic, complemented
72C17×#397C2211yescharacteristic, complemented
73C17×#397C2211yescharacteristic, complemented
74C17×#397C2211yescharacteristic, complemented
75C17×#397C2211yescharacteristic, complemented
76C17×#397C2211yescharacteristic, complemented
77C17×#397C2211yescharacteristic, complemented
78C17×#397C2211yescharacteristic, complemented
79C17×#396C2211yescharacteristic, complemented
80C17×#396C2211yescharacteristic, complemented
81C17×#396C2211yescharacteristic, complemented
82C17×#396C2211yescharacteristic, complemented
83C17×#394C2211yescharacteristic
84C17×#394C2211yescharacteristic
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×#393C2211yescharacteristic, complemented
95C17×#393C2211yescharacteristic, 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×#390C2211yescharacteristic, complemented
108C17×#390C2211yescharacteristic, complemented
109C17×#390C2211yescharacteristic, complemented
110C17×#390C2211yescharacteristic, complemented
111C17×#388C2211yescharacteristic, complemented
112C17×#388C2211yescharacteristic, complemented
113C17×#388C2211yescharacteristic, complemented
114C17×#388C2211yescharacteristic, complemented
115C17×#388C2211yescharacteristic, complemented
116C17×#388C2211yescharacteristic, complemented
117C17×#388C2211yescharacteristic, complemented
118C17×#388C2211yescharacteristic, complemented
119C17×#388C2211yescharacteristic, complemented
120C17×#388C2211yescharacteristic, complemented
121C17×#387C2211yescharacteristic, complemented
122C17×#387C2211yescharacteristic, complemented
123C17×#386C2211yescharacteristic
124C17×#386C2211yescharacteristic
125C17×#386C2211yescharacteristic
126C17×#386C2211yescharacteristic
127C17×#386C2211yescharacteristic
128C17×#386C2211yescharacteristic
129C17×#386C2211yescharacteristic
130C17×#386C2211yescharacteristic
131C17×#386C2211yescharacteristic
132C17×#386C2211yescharacteristic
133C17×#386C2211yescharacteristic
134C17×#386C2211yescharacteristic
135C17×#386C2211yescharacteristic
136C17×#386C2211yescharacteristic
137C17×#386C2211yescharacteristic, complemented
138C17×#386C2211yescharacteristic, complemented
139C17×#386C2211yescharacteristic, complemented
140C17×#386C2211yescharacteristic, complemented
141C17×#386C2211yescharacteristic, complemented
142C17×#386C2211yescharacteristic, complemented
143C17×#386C2211yescharacteristic, complemented
144C17×#386C2211yescharacteristic, complemented
145C17×#386C2211yescharacteristic, complemented
146C17×#386C2211yescharacteristic, complemented
147C17×#386C2211yescharacteristic, complemented
148C17×#386C2211yescharacteristic, complemented
149C17×#386C2211yescharacteristic, complemented
150C17×#386C2211yescharacteristic, complemented
151C17×#386C2211yescharacteristic, complemented
152C17×#386C2211yescharacteristic, complemented
153C17×#386C2211yescharacteristic, complemented
154C17×#386C2211yescharacteristic, complemented
155C17×#386C2211yescharacteristic, complemented
156C17×#386C2211yescharacteristic, complemented
157C17×#386C2211yescharacteristic, complemented
158C17×#386C2211yescharacteristic, complemented
159C17×#386C2211yescharacteristic, complemented
160C17×#385C2211yescharacteristic, complemented
161C17×#385C2211yescharacteristic, complemented
162C17×#385C2211yescharacteristic, complemented
163C17×#385C2211yescharacteristic, complemented
164C17×#385C2211yescharacteristic, complemented
165C17×#385C2211yescharacteristic, complemented
166C17×#385C2211yescharacteristic, complemented
167C17×#385C2211yescharacteristic, complemented
168C17×#385C2211yescharacteristic, complemented
169C17×#383C2211yescharacteristic, complemented
170C17×#381C2211yescharacteristic, complemented
171C17×#381C2211yescharacteristic, complemented
172C17×#381C2211yescharacteristic, complemented
173C17×#381C2211yescharacteristic, complemented
174C17×#381C2211yescharacteristic, complemented
175C17×#380C2211yescharacteristic, complemented
176C17×#380C2211yescharacteristic, complemented
177C17×#380C2211yescharacteristic, complemented
178C17×#380C2211yescharacteristic, complemented
179C17×#379C2211yescharacteristic
180C17×#379C2211yescharacteristic, complemented
181C17×#379C2211yescharacteristic, complemented
182C17×#379C2211yescharacteristic, complemented
183C17×#379C2211yescharacteristic, complemented
184C4×C22⋊C4×C17C2211yescharacteristic, complemented
185C2×C17×#95C2211yescharacteristic, complemented
186C2×C17×#95C2211yescharacteristic, 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×C17—42no—
217C23×C4×C17—42no—
218C23×C4×C17—42no—
219C23×C4×C17C2311yescharacteristic
220C23×C4×C17C2311yescharacteristic
221C23×C4×C17C2311yescharacteristic
222C23×C4×C17C2311yescharacteristic
223C23×C4×C17C2311yescharacteristic
224C23×C4×C17C2311yescharacteristic
225C23×C4×C17C2311yescharacteristic
226C23×C4×C17C2311yescharacteristic
227C23×C4×C17C2311yescharacteristic
228C23×C4×C17C2311yescharacteristic
229C23×C4×C17C2311yescharacteristic
230C23×C4×C17C2311yescharacteristic
231C23×C4×C17C2311yescharacteristic
232C17×#124—42no—
233C17×#123—42no—
234C17×#123—42no—
235C17×C22⋊Q8—42no—
236C17×C22⋊Q8—42no—
237C17×#121—42no—
238C17×#121—42no—
239C17×#121—42no—
240C17×#121—42no—
241C17×#121—42no—
242C17×#121—42no—
243C17×#121—42no—
244C17×#120—24no—
245C17×#120—42no—
246C17×#120—42no—
247C17×#120—42no—
248C17×#120—42no—
249C17×#120—42no—
250C17×#120—42no—
251C4×D4×C17—42no—
252C2×C4⋊C4×C17C2311yescharacteristic
253C2×C4⋊C4×C17C2311yescharacteristic
254C2×C4⋊C4×C17C2311yescharacteristic
255C2×C4⋊C4×C17C2311yescharacteristic
256C2×C4⋊C4×C17C2311yescharacteristic
257C2×C4⋊C4×C17C2311yescharacteristic
258C2×C4⋊C4×C17C2311yescharacteristic
259C2×C4⋊C4×C17C2311yescharacteristic
260C2×C4⋊C4×C17C2311yescharacteristic
261C2×C4⋊C4×C17C2311yescharacteristic
262C2×C4⋊C4×C17C2311yescharacteristic
263C2×C4⋊C4×C17C2311yescharacteristic
264C2×C4⋊C4×C17C2311yescharacteristic
265C2×C4⋊C4×C17C2311yescharacteristic
266C2×C4⋊C4×C17C2311yescharacteristic
267C2×C4⋊C4×C17C2311yescharacteristic
268C2×C22⋊C4×C17—42no—
269C2×C22⋊C4×C17—42no—
270C2×C22⋊C4×C17—42no—
271C2×C22⋊C4×C17—42no—
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×C42×C17C2311yescharacteristic
333C2×C42×C17C2311yescharacteristic
334C2×C42×C17C2311yescharacteristic
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
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—22no—
382C24×C17—22no—
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—41no—
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—22no—
430C2×D4×C17—22no—
431C2×D4×C17—22no—
432C2×D4×C17—22no—
433C2×D4×C17—22no—
434C2×D4×C17—22no—
435C2×D4×C17—41no—
436C2×D4×C17—41no—
437C2×D4×C17—41no—
438C2×D4×C17—41no—
439C2×D4×C17—41no—
440C2×D4×C17—41no—
441C2×D4×C17—41no—
442C2×D4×C17—41no—
443C2×D4×C17—41no—
444C2×D4×C17—41no—
445C2×D4×C17—41no—
446C2×D4×C17—41no—
447C2×D4×C17—41no—
448C2×D4×C17—41no—
449C2×D4×C17—41no—
450C2×D4×C17—41no—
451C2×D4×C17—41no—
452C2×D4×C17—41no—
453C2×D4×C17—41no—
454C2×D4×C17—41no—
455C2×D4×C17—41no—
456C2×D4×C17—41no—
457C2×D4×C17—41no—
458C2×D4×C17—41no—
459C2×D4×C17—41no—
460C2×D4×C17—41no—
461C2×D4×C17—41no—
462C2×D4×C17—41no—
463C2×D4×C17—41no—
464C2×D4×C17—416no—
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—22no—
476C22×C4×C17—22no—
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×C17—41no—
494C22×C4×C17—41no—
495C22×C4×C17—41no—
496C22×C4×C17—41no—
497C22×C4×C17—41no—
498C22×C4×C17—41no—
499C22×C4×C17—41no—
500C22×C4×C17—41no—
501C22×C4×C17—41no—
502C22×C4×C17—41no—
503C22×C4×C17—41no—
504C22×C4×C17—41no—
505C22×C4×C17—416no—
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
516C22×C4×C17C2411yescharacteristic
517C22×C4×C17C2411yescharacteristic
518C22×C4×C17C2411yescharacteristic
519C22×C4×C17C2411yescharacteristic
520C22×C4×C17C2411yescharacteristic
521C22×C4×C17C2411yescharacteristic
522C22×C4×C17C2411yescharacteristic
523C22×C4×C17C2411yescharacteristic
524C22×C4×C17C2411yescharacteristic
525C22×C4×C17C2411yescharacteristic
526C22×C4×C17C2411yescharacteristic
527C22×C4×C17C2411yescharacteristic
528C22×C4×C17C2411yescharacteristic
529C4⋊C4×C17—22no—
530C4⋊C4×C17—22no—
531C4⋊C4×C17—41no—
532C4⋊C4×C17—41no—
533C4⋊C4×C17—41no—
534C4⋊C4×C17—41no—
535C4⋊C4×C17—41no—
536C4⋊C4×C17—41no—
537C4⋊C4×C17—41no—
538C4⋊C4×C17—41no—
539C4⋊C4×C17—41no—
540C4⋊C4×C17—41no—
541C4⋊C4×C17—41no—
542C4⋊C4×C17—41no—
543C4⋊C4×C17—41no—
544C4⋊C4×C17—41no—
545C22⋊C4×C17—22no—
546C22⋊C4×C17—22no—
547C22⋊C4×C17—22no—
548C22⋊C4×C17—22no—
549C22⋊C4×C17—22no—
550C22⋊C4×C17—22no—
551C22⋊C4×C17—22no—
552C22⋊C4×C17—22no—
553C22⋊C4×C17—22no—
554C22⋊C4×C17—22no—
555C22⋊C4×C17—22no—
556C22⋊C4×C17—22no—
557C22⋊C4×C17—22no—
558C22⋊C4×C17—22no—
559C22⋊C4×C17—41no—
560C22⋊C4×C17—41no—
561C22⋊C4×C17—41no—
562C22⋊C4×C17—41no—
563C22⋊C4×C17—41no—
564C22⋊C4×C17—41no—
565C22⋊C4×C17—41no—
566C22⋊C4×C17—41no—
567C22⋊C4×C17—41no—
568C22⋊C4×C17—41no—
569C22⋊C4×C17—41no—
570C22⋊C4×C17—41no—
571C22⋊C4×C17—41no—
572C22⋊C4×C17—41no—
573C22⋊C4×C17—41no—
574C22⋊C4×C17—41no—
575C22⋊C4×C17—41no—
576C22⋊C4×C17—41no—
577C22⋊C4×C17—41no—
578C22⋊C4×C17—41no—
579C22⋊C4×C17—41no—
580C22⋊C4×C17—41no—
581C22⋊C4×C17—41no—
582C22⋊C4×C17—41no—
583C22⋊C4×C17—41no—
584C22⋊C4×C17—41no—
585C22⋊C4×C17—41no—
586C22⋊C4×C17—41no—
587C22⋊C4×C17—41no—
588C22⋊C4×C17—41no—
589C22⋊C4×C17—41no—
590C22⋊C4×C17—41no—
591C22⋊C4×C17—41no—
592C22⋊C4×C17—41no—
593C22⋊C4×C17—41no—
594C22⋊C4×C17—41no—
595C22⋊C4×C17—41no—
596C22⋊C4×C17—41no—
597C22⋊C4×C17—41no—
598C22⋊C4×C17—41no—
599C22⋊C4×C17—41no—
600C22⋊C4×C17—41no—
601C22⋊C4×C17—41no—
602C22⋊C4×C17—41no—
603C22⋊C4×C17—41no—
604C22⋊C4×C17—41no—
605C42×C17—41no—
606C42×C17—41no—
607C42×C17—41no—
608#36776C1711yesmaximal, characteristic, direct product factor, Sylow
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—28no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—21no—
638C23×C17—28no—
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—44no—
667C23×C17—44no—
668C23×C17—44no—
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×C17C2×#4112yes—
680C23×C17C2×#4112yes—
681C23×C17C2×#4112yes—
682C23×C17H(5,𝔽2)12yes—
683C23×C17H(5,𝔽2)12yes—
684C23×C17H(5,𝔽2)12yes—
685C23×C17H(5,𝔽2)12yes—
686C23×C17C2511yescharacteristic
687Q8×C17—82no—
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—44no—
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—
706D4×C17—82no—
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—21no—
774C2×C4×C17—21no—
775C2×C4×C17—44no—
776C2×C4×C17—44no—
777C2×C4×C17—44no—
778C2×C4×C17—44no—
779C2×C4×C17—44no—
780C2×C4×C17—44no—
781C2×C4×C17—44no—
782C2×C4×C17—44no—
783C2×C4×C17—82no—
784C2×C4×C17—82no—
785C2×C4×C17—82no—
786C2×C4×C17—82no—
787C2×C4×C17—82no—
788C2×C4×C17H(5,𝔽2)12yes—
789#2849C2×C1711yescharacteristic, complemented
790#2847C2×C1711yescharacteristic, complemented
791#2778C2×C1711yescharacteristic, complemented
792#2778C2×C1711yescharacteristic, complemented
793#2760C2×C1711yescharacteristic, complemented
794#2750C2×C1711yescharacteristic, complemented
795#2749C2×C1711yescharacteristic, complemented
796#2749C2×C1711yescharacteristic, complemented
797#2743C2×C1711yescharacteristic, complemented
798#2703C2×C1711yescharacteristic, complemented
799#2697C2×C1711yescharacteristic, complemented
800#2696C2×C1711yescharacteristic, complemented
801#2688C2×C1711yescharacteristic, complemented
802#2688C2×C1711yescharacteristic, complemented
803#2684C2×C1711yescharacteristic, complemented
804#2678C2×C1711yescharacteristic, complemented
805#2676C2×C1711yescharacteristic, complemented
806#2668C2×C1711yescharacteristic, complemented
807#2643C2×C1711yescharacteristic, complemented
808#2639C2×C1711yescharacteristic, complemented
809#2510C2×C1711yescharacteristic, complemented
810#2472C2×C1711yescharacteristic, complemented
811#2444C2×C1711yescharacteristic, complemented
812#2437C2×C1711yescharacteristic, complemented
813#2424C2×C1711yescharacteristic, complemented
814#2410C2×C1711yescharacteristic, complemented
815#2410C2×C1711yescharacteristic, complemented
816#2403C2×C1711yescharacteristic, complemented
817#2321C2×C1711yescharacteristic, complemented
818#2308C2×C1711yescharacteristic, complemented
819C2×#386C2×C1711yescharacteristic, complemented
820C22×C17—22no—
821C22×C17—22no—
822C22×C17—22no—
823C22×C17—22no—
824C22×C17—22no—
825C22×C17—22no—
826C22×C17—22no—
827C22×C17—22no—
828C22×C17—22no—
829C22×C17—22no—
830C22×C17—22no—
831C22×C17—22no—
832C22×C17—22no—
833C22×C17—22no—
834C22×C17—22no—
835C22×C17—22no—
836C22×C17—22no—
837C22×C17—22no—
838C22×C17—416no—
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—41no—
871C22×C17—41no—
872C22×C17—41no—
873C22×C17—41no—
874C22×C17—41no—
875C22×C17—41no—
876C22×C17—88no—
877C22×C17—88no—
878C22×C17#53814yes—
879C22×C17C22×#4111yescharacteristic
880C22×C17C2×H(5,𝔽2)11yescharacteristic
881C22×C17C2×H(5,𝔽2)11yescharacteristic
882C22×C17C2×H(5,𝔽2)11yescharacteristic
883C22×C17C2×H(5,𝔽2)11yescharacteristic
884C22×C17C2×H(5,𝔽2)11yescharacteristic
885C22×C17#58511yescharacteristic
886C4×C17—22no—
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—
904C4×C17—41no—
905C4×C17—41no—
906C4×C17—41no—
907C4×C17—41no—
908C4×C17—41no—
909C23×D4C22×C1711yescharacteristic
910C23×D4C22×C1711yescharacteristic
911C24×C4C22×C1711yescharacteristic, complemented
912C2×#124C22×C1711yescharacteristic, complemented
913C2×#123C22×C1711yescharacteristic, complemented
914C2×#123C22×C1711yescharacteristic, complemented
915C2×C22⋊Q8C22×C1711yescharacteristic, complemented
916C2×C22⋊Q8C22×C1711yescharacteristic, complemented
917C2×#121C22×C1711yescharacteristic
918C2×#121C22×C1711yescharacteristic
919C2×#121C22×C1711yescharacteristic, complemented
920C2×#121C22×C1711yescharacteristic, complemented
921C2×#121C22×C1711yescharacteristic, complemented
922C2×#121C22×C1711yescharacteristic, complemented
923C2×#121C22×C1711yescharacteristic, complemented
924C2×#120C22×C1711yescharacteristic
925C2×#120C22×C1711yescharacteristic
926C2×#120C22×C1711yescharacteristic
927C2×#120C22×C1711yescharacteristic
928C2×#120C22×C1711yescharacteristic
929C2×#120C22×C1711yescharacteristic, complemented
930C2×#120C22×C1711yescharacteristic, complemented
931C2×C4×D4C22×C1711yescharacteristic, complemented
932C22×C22⋊C4C22×C1711yescharacteristic
933C22×C22⋊C4C22×C1711yescharacteristic
934C22×C22⋊C4C22×C1711yescharacteristic
935C22×C22⋊C4C22×C1711yescharacteristic, complemented
936#401C22×C1711yescharacteristic, complemented
937#401C22×C1711yescharacteristic, complemented
938#400C22×C1711yescharacteristic, complemented
939#400C22×C1711yescharacteristic, complemented
940#400C22×C1711yescharacteristic, complemented
941#400C22×C1711yescharacteristic, complemented
942#400C22×C1711yescharacteristic, complemented
943#400C22×C1711yescharacteristic, complemented
944#400C22×C1711yescharacteristic, complemented
945#399C22×C1711yescharacteristic, complemented
946#397C22×C1711yescharacteristic, complemented
947#397C22×C1711yescharacteristic, complemented
948#397C22×C1711yescharacteristic, complemented
949#397C22×C1711yescharacteristic, complemented
950#397C22×C1711yescharacteristic, complemented
951#397C22×C1711yescharacteristic, complemented
952#397C22×C1711yescharacteristic, complemented
953#397C22×C1711yescharacteristic, complemented
954#397C22×C1711yescharacteristic, complemented
955#397C22×C1711yescharacteristic, complemented
956#396C22×C1711yescharacteristic, complemented
957#396C22×C1711yescharacteristic, complemented
958#396C22×C1711yescharacteristic, complemented
959#396C22×C1711yescharacteristic, complemented
960#394C22×C1711yescharacteristic
961#394C22×C1711yescharacteristic
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#394C22×C1711yescharacteristic, complemented
969#394C22×C1711yescharacteristic, complemented
970#394C22×C1711yescharacteristic, complemented
971#393C22×C1711yescharacteristic, complemented
972#393C22×C1711yescharacteristic, complemented
973#393C22×C1711yescharacteristic, complemented
974#393C22×C1711yescharacteristic, complemented
975#392C22×C1711yescharacteristic
976#392C22×C1711yescharacteristic
977#392C22×C1711yescharacteristic
978#392C22×C1711yescharacteristic
979#392C22×C1711yescharacteristic
980#392C22×C1711yescharacteristic
981#392C22×C1711yescharacteristic, complemented
982#392C22×C1711yescharacteristic, complemented
983#392C22×C1711yescharacteristic, complemented
984#390C22×C1711yescharacteristic, complemented
985#390C22×C1711yescharacteristic, complemented
986#390C22×C1711yescharacteristic, complemented
987#390C22×C1711yescharacteristic, complemented
988#388C22×C1711yescharacteristic, complemented
989#388C22×C1711yescharacteristic, complemented
990#388C22×C1711yescharacteristic, complemented
991#388C22×C1711yescharacteristic, complemented
992#388C22×C1711yescharacteristic, complemented
993#388C22×C1711yescharacteristic, complemented
994#388C22×C1711yescharacteristic, complemented
995#388C22×C1711yescharacteristic, complemented
996#388C22×C1711yescharacteristic, complemented
997#388C22×C1711yescharacteristic, complemented
998#387C22×C1711yescharacteristic, complemented
999#387C22×C1711yescharacteristic, complemented
1000#386C22×C1711yescharacteristic
1001#386C22×C1711yescharacteristic
1002#386C22×C1711yescharacteristic
1003#386C22×C1711yescharacteristic
1004#386C22×C1711yescharacteristic
1005#386C22×C1711yescharacteristic
1006#386C22×C1711yescharacteristic
1007#386C22×C1711yescharacteristic
1008#386C22×C1711yescharacteristic
1009#386C22×C1711yescharacteristic
1010#386C22×C1711yescharacteristic
1011#386C22×C1711yescharacteristic
1012#386C22×C1711yescharacteristic
1013#386C22×C1711yescharacteristic
1014#386C22×C1711yescharacteristic, complemented
1015#386C22×C1711yescharacteristic, complemented
1016#386C22×C1711yescharacteristic, complemented
1017#386C22×C1711yescharacteristic, complemented
1018#386C22×C1711yescharacteristic, complemented
1019#386C22×C1711yescharacteristic, complemented
1020#386C22×C1711yescharacteristic, complemented
1021#386C22×C1711yescharacteristic, complemented
1022#386C22×C1711yescharacteristic, complemented
1023#386C22×C1711yescharacteristic, complemented
1024#386C22×C1711yescharacteristic, complemented
1025#386C22×C1711yescharacteristic, complemented
1026#386C22×C1711yescharacteristic, complemented
1027#386C22×C1711yescharacteristic, complemented
1028#386C22×C1711yescharacteristic, complemented
1029#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#385C22×C1711yescharacteristic, complemented
1038#385C22×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#383C22×C1711yescharacteristic, complemented
1047#381C22×C1711yescharacteristic, complemented
1048#381C22×C1711yescharacteristic, complemented
1049#381C22×C1711yescharacteristic, complemented
1050#381C22×C1711yescharacteristic, complemented
1051#381C22×C1711yescharacteristic, complemented
1052#380C22×C1711yescharacteristic, complemented
1053#380C22×C1711yescharacteristic, complemented
1054#380C22×C1711yescharacteristic, complemented
1055#380C22×C1711yescharacteristic, complemented
1056#379C22×C1711yescharacteristic
1057#379C22×C1711yescharacteristic, complemented
1058#379C22×C1711yescharacteristic, complemented
1059#379C22×C1711yescharacteristic, complemented
1060#379C22×C1711yescharacteristic, complemented
1061C4×C22⋊C4C22×C1711yescharacteristic, complemented
1062C2×#95C22×C1711yescharacteristic, complemented
1063C2×#95C22×C1711yescharacteristic, complemented
1064C2×C17—24no—
1065C2×C17—42no—
1066C2×C17—42no—
1067C2×C17—42no—
1068C2×C17—42no—
1069C2×C17—81no—
1070C2×C17—81no—
1071C2×C17—81no—
1072C2×C17C2×#53811yescharacteristic
1073C2×C17#349011yescharacteristic
1074C2×C17#350511yescharacteristic
1075C2×C17#353211yescharacteristic
1076C2×C17#353411yescharacteristic
1077C2×C17#353411yescharacteristic
1078C2×C17#353711yescharacteristic
1079C25C23×C1711yescharacteristic
1080C25C23×C1711yescharacteristic
1081C25C23×C1711yescharacteristic
1082C22×Q8C23×C1711yescharacteristic
1083C22×D4—24no—
1084C22×D4—24no—
1085C22×D4—42no—
1086C22×D4—42no—
1087C22×D4—42no—
1088C22×D4—42no—
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
1103C22×D4C23×C1711yescharacteristic
1104C22×D4C23×C1711yescharacteristic
1105C22×D4C23×C1711yescharacteristic
1106C22×D4C23×C1711yescharacteristic
1107C22×D4C23×C1711yescharacteristic
1108C23×C4—42no—
1109C23×C4—42no—
1110C23×C4—42no—
1111C23×C4C23×C1711yescharacteristic
1112C23×C4C23×C1711yescharacteristic
1113C23×C4C23×C1711yescharacteristic
1114C23×C4C23×C1711yescharacteristic
1115C23×C4C23×C1711yescharacteristic
1116C23×C4C23×C1711yescharacteristic
1117C23×C4C23×C1711yescharacteristic
1118C23×C4C23×C1711yescharacteristic
1119C23×C4C23×C1711yescharacteristic
1120C23×C4C23×C1711yescharacteristic
1121C23×C4C23×C1711yescharacteristic
1122C23×C4C23×C1711yescharacteristic
1123C23×C4C23×C1711yescharacteristic
1124#124—42no—
1125#123—42no—
1126#123—42no—
1127C22⋊Q8—42no—
1128C22⋊Q8—42no—
1129#121—42no—
1130#121—42no—
1131#121—42no—
1132#121—42no—
1133#121—42no—
1134#121—42no—
1135#121—42no—
1136#120—24no—
1137#120—42no—
1138#120—42no—
1139#120—42no—
1140#120—42no—
1141#120—42no—
1142#120—42no—
1143C4×D4—42no—
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×C4⋊C4C23×C1711yescharacteristic
1154C2×C4⋊C4C23×C1711yescharacteristic
1155C2×C4⋊C4C23×C1711yescharacteristic
1156C2×C4⋊C4C23×C1711yescharacteristic
1157C2×C4⋊C4C23×C1711yescharacteristic
1158C2×C4⋊C4C23×C1711yescharacteristic
1159C2×C4⋊C4C23×C1711yescharacteristic
1160C2×C22⋊C4—42no—
1161C2×C22⋊C4—42no—
1162C2×C22⋊C4—42no—
1163C2×C22⋊C4—42no—
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×C22⋊C4C23×C1711yescharacteristic
1223C2×C22⋊C4C23×C1711yescharacteristic
1224C2×C42C23×C1711yescharacteristic
1225C2×C42C23×C1711yescharacteristic
1226C2×C42C23×C1711yescharacteristic
1227#95C23×C1711yescharacteristic
1228#95C23×C1711yescharacteristic
1229#95C23×C1711yescharacteristic
1230#95C23×C1711yescharacteristic
1231#95C23×C1711yescharacteristic
1232#95C23×C1711yescharacteristic
1233#95C23×C1711yescharacteristic
1234#95C23×C1711yescharacteristic
1235#95C23×C1711yescharacteristic
1236#95C23×C1711yescharacteristic
1237#95C23×C1711yescharacteristic
1238#95C23×C1711yescharacteristic
1239#95C23×C1711yescharacteristic
1240#95C23×C1711yescharacteristic
1241#95C23×C1711yescharacteristic
1242#95C23×C1711yescharacteristic
1243#95C23×C1711yescharacteristic
1244#95C23×C1711yescharacteristic
1245#95C23×C1711yescharacteristic
1246#95C23×C1711yescharacteristic
1247#95C23×C1711yescharacteristic
1248#95C23×C1711yescharacteristic
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
1262#95C23×C1711yescharacteristic
1263#95C23×C1711yescharacteristic
1264#95C23×C1711yescharacteristic
1265#95C23×C1711yescharacteristic
1266#95C23×C1711yescharacteristic
1267C17#3677611yescharacteristic, direct product factor, Sylow
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—22no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—41no—
1282C24—41no—
1283C24—41no—
1284C24—41no—
1285C24—41no—
1286C24—41no—
1287C24—41no—
1288C24#41×C1714yes—
1289C24C24×C1711yescharacteristic
1290C24C24×C1711yescharacteristic
1291C24C24×C1711yescharacteristic
1292C24C24×C1711yescharacteristic
1293C24C24×C1711yescharacteristic
1294C24C24×C1711yescharacteristic
1295C24C24×C1711yescharacteristic
1296C24C24×C1711yescharacteristic
1297C2×Q8—41no—
1298C2×Q8—41no—
1299C2×Q8—41no—
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—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
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—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—416no—
1358C2×D4—416no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
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×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—416no—
1399C22×C4C24×C1711yescharacteristic
1400C22×C4C24×C1711yescharacteristic
1401C22×C4C24×C1711yescharacteristic
1402C22×C4C24×C1711yescharacteristic
1403C22×C4C24×C1711yescharacteristic
1404C22×C4C24×C1711yescharacteristic
1405C22×C4C24×C1711yescharacteristic
1406C22×C4C24×C1711yescharacteristic
1407C22×C4C24×C1711yescharacteristic
1408C22×C4C24×C1711yescharacteristic
1409C22×C4C24×C1711yescharacteristic
1410C22×C4C24×C1711yescharacteristic
1411C22×C4C24×C1711yescharacteristic
1412C22×C4C24×C1711yescharacteristic
1413C22×C4C24×C1711yescharacteristic
1414C22×C4C24×C1711yescharacteristic
1415C22×C4C24×C1711yescharacteristic
1416C22×C4C24×C1711yescharacteristic
1417C22×C4C24×C1711yescharacteristic
1418C22×C4C24×C1711yescharacteristic
1419C22×C4C24×C1711yescharacteristic
1420C22×C4C24×C1711yescharacteristic
1421C22×C4C24×C1711yescharacteristic
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C4⋊C4—41no—
1430C4⋊C4—41no—
1431C4⋊C4—41no—
1432C4⋊C4—41no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
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—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—41no—
1492C22⋊C4—41no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C42—41no—
1499C42—41no—
1500C42—41no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—28no—
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—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—44no—
1553C23—44no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—44no—
1560C23—44no—
1561C23—82no—
1562C23—82no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23—82no—
1568C23—82no—
1569C23—82no—
1570C23—82no—
1571C23C2×#41×C1712yes—
1572C23C2×#41×C1712yes—
1573C23C2×#41×C1712yes—
1574C23C17×H(5,𝔽2)12yes—
1575C23C17×H(5,𝔽2)12yes—
1576C23C17×H(5,𝔽2)12yes—
1577C23C17×H(5,𝔽2)12yes—
1578C23C25×C1711yescharacteristic
1579Q8—82no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585D4—44no—
1586D4—44no—
1587D4—44no—
1588D4—44no—
1589D4—82no—
1590D4—82no—
1591D4—82no—
1592D4—82no—
1593D4—82no—
1594D4—82no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
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—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—82no—
1676C2×C4—82no—
1677C2×C4—82no—
1678C2×C4—82no—
1679C2×C4—82no—
1680C2×C4C17×H(5,𝔽2)12yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—416no—
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—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—88no—
1738C22—88no—
1739C22C17×#53814yes—
1740C22C22×#41×C1711yescharacteristic
1741C22C2×C17×H(5,𝔽2)11yescharacteristic
1742C22C2×C17×H(5,𝔽2)11yescharacteristic
1743C22C2×C17×H(5,𝔽2)11yescharacteristic
1744C22C2×C17×H(5,𝔽2)11yescharacteristic
1745C22C2×C17×H(5,𝔽2)11yescharacteristic
1746C22C17×#58511yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—42no—
1774C2—42no—
1775C2—81no—
1776C2—81no—
1777C2—81no—
1778C2C2×C17×#53811yescharacteristic
1779C2C17×#349011yescharacteristic
1780C2C17×#350511yescharacteristic
1781C2C17×#353211yescharacteristic
1782C2C17×#353411yescharacteristic
1783C2C17×#353411yescharacteristic
1784C2C17×#353711yescharacteristic
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×#2849C2semidirect
2. C17×#2847C2semidirect
3. C17×#2778C2semidirect
4. C17×#2778C2semidirect
5. C17×#2760C2semidirect
6. C17×#2750C2semidirect
7. C17×#2749C2semidirect
8. C17×#2749C2semidirect
9. C17×#2743C2semidirect
10. C17×#2703C2semidirect
11. C17×#2697C2semidirect
12. C17×#2696C2semidirect
13. C17×#2688C2semidirect
14. C17×#2688C2semidirect
15. C17×#2684C2semidirect
16. C17×#2678C2semidirect
17. C17×#2676C2semidirect
18. C17×#2668C2semidirect
19. C17×#2643C2semidirect
20. C17×#2639C2semidirect
21. C17×#2510C2semidirect
22. C17×#2472C2semidirect
23. C17×#2444C2semidirect
24. C17×#2437C2semidirect
25. C17×#2424C2semidirect
26. C17×#2410C2semidirect
27. C17×#2410C2semidirect
28. C17×#2403C2semidirect
29. C17×#2321C2semidirect
30. C17×#2308C2semidirect
31. C2×C17×#386C2semidirect
34. C24×C4×C17C22semidirect
35. C2×C17×#124C22semidirect
36. C2×C17×#123C22semidirect
37. C2×C17×#123C22semidirect
38. C2×C17×C22⋊Q8C22semidirect
39. C2×C17×C22⋊Q8C22semidirect
42. C2×C17×#121C22semidirect
43. C2×C17×#121C22semidirect
44. C2×C17×#121C22semidirect
45. C2×C17×#121C22semidirect
46. C2×C17×#121C22semidirect
52. C2×C17×#120C22semidirect
53. C2×C17×#120C22semidirect
54. C2×C4×D4×C17C22semidirect
58. C22×C22⋊C4×C17C22semidirect
59. C17×#401C22semidirect
60. C17×#401C22semidirect
61. C17×#400C22semidirect
62. C17×#400C22semidirect
63. C17×#400C22semidirect
64. C17×#400C22semidirect
65. C17×#400C22semidirect
66. C17×#400C22semidirect
67. C17×#400C22semidirect
68. C17×#399C22semidirect
69. C17×#397C22semidirect
70. C17×#397C22semidirect
71. C17×#397C22semidirect
72. C17×#397C22semidirect
73. C17×#397C22semidirect
74. C17×#397C22semidirect
75. C17×#397C22semidirect
76. C17×#397C22semidirect
77. C17×#397C22semidirect
78. C17×#397C22semidirect
79. C17×#396C22semidirect
80. C17×#396C22semidirect
81. C17×#396C22semidirect
82. C17×#396C22semidirect
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×#393C22semidirect
95. C17×#393C22semidirect
96. C17×#393C22semidirect
97. C17×#393C22semidirect
104. C17×#392C22semidirect
105. C17×#392C22semidirect
106. C17×#392C22semidirect
107. C17×#390C22semidirect
108. C17×#390C22semidirect
109. C17×#390C22semidirect
110. C17×#390C22semidirect
111. C17×#388C22semidirect
112. C17×#388C22semidirect
113. C17×#388C22semidirect
114. C17×#388C22semidirect
115. C17×#388C22semidirect
116. C17×#388C22semidirect
117. C17×#388C22semidirect
118. C17×#388C22semidirect
119. C17×#388C22semidirect
120. C17×#388C22semidirect
121. C17×#387C22semidirect
122. C17×#387C22semidirect
137. C17×#386C22semidirect
138. C17×#386C22semidirect
139. C17×#386C22semidirect
140. C17×#386C22semidirect
141. C17×#386C22semidirect
142. C17×#386C22semidirect
143. C17×#386C22semidirect
144. C17×#386C22semidirect
145. C17×#386C22semidirect
146. C17×#386C22semidirect
147. C17×#386C22semidirect
148. C17×#386C22semidirect
149. C17×#386C22semidirect
150. C17×#386C22semidirect
151. C17×#386C22semidirect
152. C17×#386C22semidirect
153. C17×#386C22semidirect
154. C17×#386C22semidirect
155. C17×#386C22semidirect
156. C17×#386C22semidirect
157. C17×#386C22semidirect
158. C17×#386C22semidirect
159. C17×#386C22semidirect
160. C17×#385C22semidirect
161. C17×#385C22semidirect
162. C17×#385C22semidirect
163. C17×#385C22semidirect
164. C17×#385C22semidirect
165. C17×#385C22semidirect
166. C17×#385C22semidirect
167. C17×#385C22semidirect
168. C17×#385C22semidirect
169. C17×#383C22semidirect
170. C17×#381C22semidirect
171. C17×#381C22semidirect
172. C17×#381C22semidirect
173. C17×#381C22semidirect
174. C17×#381C22semidirect
175. C17×#380C22semidirect
176. C17×#380C22semidirect
177. C17×#380C22semidirect
178. C17×#380C22semidirect
180. C17×#379C22semidirect
181. C17×#379C22semidirect
182. C17×#379C22semidirect
183. C17×#379C22semidirect
184. C4×C22⋊C4×C17C22semidirect
185. C2×C17×#95C22semidirect
186. C2×C17×#95C22semidirect
608. #36776C17direct (N × H)
789. #2849C2×C17semidirect
790. #2847C2×C17semidirect
791. #2778C2×C17semidirect
792. #2778C2×C17semidirect
793. #2760C2×C17semidirect
794. #2750C2×C17semidirect
795. #2749C2×C17semidirect
796. #2749C2×C17semidirect
797. #2743C2×C17semidirect
798. #2703C2×C17semidirect
799. #2697C2×C17semidirect
800. #2696C2×C17semidirect
801. #2688C2×C17semidirect
802. #2688C2×C17semidirect
803. #2684C2×C17semidirect
804. #2678C2×C17semidirect
805. #2676C2×C17semidirect
806. #2668C2×C17semidirect
807. #2643C2×C17semidirect
808. #2639C2×C17semidirect
809. #2510C2×C17semidirect
810. #2472C2×C17semidirect
811. #2444C2×C17semidirect
812. #2437C2×C17semidirect
813. #2424C2×C17semidirect
814. #2410C2×C17semidirect
815. #2410C2×C17semidirect
816. #2403C2×C17semidirect
817. #2321C2×C17semidirect
818. #2308C2×C17semidirect
819. C2×#386C2×C17semidirect
911. C24×C4C22×C17semidirect
912. C2×#124C22×C17semidirect
913. C2×#123C22×C17semidirect
914. C2×#123C22×C17semidirect
915. C2×C22⋊Q8C22×C17semidirect
916. C2×C22⋊Q8C22×C17semidirect
919. C2×#121C22×C17semidirect
920. C2×#121C22×C17semidirect
921. C2×#121C22×C17semidirect
922. C2×#121C22×C17semidirect
923. C2×#121C22×C17semidirect
929. C2×#120C22×C17semidirect
930. C2×#120C22×C17semidirect
931. C2×C4×D4C22×C17semidirect
935. C22×C22⋊C4C22×C17semidirect
936. #401C22×C17semidirect
937. #401C22×C17semidirect
938. #400C22×C17semidirect
939. #400C22×C17semidirect
940. #400C22×C17semidirect
941. #400C22×C17semidirect
942. #400C22×C17semidirect
943. #400C22×C17semidirect
944. #400C22×C17semidirect
945. #399C22×C17semidirect
946. #397C22×C17semidirect
947. #397C22×C17semidirect
948. #397C22×C17semidirect
949. #397C22×C17semidirect
950. #397C22×C17semidirect
951. #397C22×C17semidirect
952. #397C22×C17semidirect
953. #397C22×C17semidirect
954. #397C22×C17semidirect
955. #397C22×C17semidirect
956. #396C22×C17semidirect
957. #396C22×C17semidirect
958. #396C22×C17semidirect
959. #396C22×C17semidirect
962. #394C22×C17semidirect
963. #394C22×C17semidirect
964. #394C22×C17semidirect
965. #394C22×C17semidirect
966. #394C22×C17semidirect
967. #394C22×C17semidirect
968. #394C22×C17semidirect
969. #394C22×C17semidirect
970. #394C22×C17semidirect
971. #393C22×C17semidirect
972. #393C22×C17semidirect
973. #393C22×C17semidirect
974. #393C22×C17semidirect
981. #392C22×C17semidirect
982. #392C22×C17semidirect
983. #392C22×C17semidirect
984. #390C22×C17semidirect
985. #390C22×C17semidirect
986. #390C22×C17semidirect
987. #390C22×C17semidirect
988. #388C22×C17semidirect
989. #388C22×C17semidirect
990. #388C22×C17semidirect
991. #388C22×C17semidirect
992. #388C22×C17semidirect
993. #388C22×C17semidirect
994. #388C22×C17semidirect
995. #388C22×C17semidirect
996. #388C22×C17semidirect
997. #388C22×C17semidirect
998. #387C22×C17semidirect
999. #387C22×C17semidirect
1014. #386C22×C17semidirect
1015. #386C22×C17semidirect
1016. #386C22×C17semidirect
1017. #386C22×C17semidirect
1018. #386C22×C17semidirect
1019. #386C22×C17semidirect
1020. #386C22×C17semidirect
1021. #386C22×C17semidirect
1022. #386C22×C17semidirect
1023. #386C22×C17semidirect
1024. #386C22×C17semidirect
1025. #386C22×C17semidirect
1026. #386C22×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. #385C22×C17semidirect
1038. #385C22×C17semidirect
1039. #385C22×C17semidirect
1040. #385C22×C17semidirect
1041. #385C22×C17semidirect
1042. #385C22×C17semidirect
1043. #385C22×C17semidirect
1044. #385C22×C17semidirect
1045. #385C22×C17semidirect
1046. #383C22×C17semidirect
1047. #381C22×C17semidirect
1048. #381C22×C17semidirect
1049. #381C22×C17semidirect
1050. #381C22×C17semidirect
1051. #381C22×C17semidirect
1052. #380C22×C17semidirect
1053. #380C22×C17semidirect
1054. #380C22×C17semidirect
1055. #380C22×C17semidirect
1057. #379C22×C17semidirect
1058. #379C22×C17semidirect
1059. #379C22×C17semidirect
1060. #379C22×C17semidirect
1061. C4×C22⋊C4C22×C17semidirect
1062. C2×#95C22×C17semidirect
1063. C2×#95C22×C17semidirect
1267. C17#36776direct (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×#28472
C17×#27782
C17×#27602
C17×#27502
C17×#27492
C17×#27432
C17×#27032
C17×#26972
C17×#26962
C17×#26882
C17×#26842
C17×#26782
C17×#26762
C17×#26682
C17×#26432
C17×#26392
C17×#25102
C17×#24722
C17×#24442
C17×#24372
C17×#24242
C17×#24102
C17×#24032
C17×#23212
C17×#23082
C2×C17×#3862
#3677617