Finite Group Databasebeta

← C17×#36857 #16894601

Subgroups — C17×#36857 #16894601

Order 4352.

2098 conjugacy classes of subgroups.

The subgroup lattice has 1674 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×#2788C211yesmaximal, characteristic, complemented
4C17×#2757C211yesmaximal, characteristic, complemented
5C17×#2756C211yesmaximal, characteristic, complemented
6C17×#2749C211yesmaximal, characteristic, complemented
7C17×#2737C211yesmaximal, characteristic, complemented
8C17×#2712C211yesmaximal, characteristic, complemented
9C17×#2701C211yesmaximal, characteristic, complemented
10C17×#2688C211yesmaximal, characteristic, complemented
11C17×#2688C211yesmaximal, characteristic, complemented
12C17×#2687C211yesmaximal, characteristic, complemented
13C17×#2684C211yesmaximal, characteristic, complemented
14C17×#2678C211yesmaximal, characteristic, complemented
15C17×#2676C211yesmaximal, characteristic, complemented
16C17×#2673C211yesmaximal, characteristic, complemented
17C17×#2670C211yesmaximal, characteristic, complemented
18C17×#2669C211yesmaximal, characteristic, complemented
19C17×#2631C211yesmaximal, characteristic, complemented
20C17×#2630C211yesmaximal, characteristic, complemented
21C17×#2577C211yesmaximal, characteristic, complemented
22C17×#2572C211yesmaximal, characteristic, complemented
23C17×#2557C211yesmaximal, characteristic, complemented
24C17×#2555C211yesmaximal, characteristic, complemented
25C17×#2464C211yesmaximal, characteristic, complemented
26C17×#2457C211yesmaximal, characteristic, complemented
27C17×#2445C211yesmaximal, characteristic, complemented
28C17×#2427C211yesmaximal, characteristic, complemented
29C17×#2337C211yesmaximal, characteristic, complemented
30C17×#2333C211yesmaximal, characteristic, complemented
31C4×C17×#120C211yesmaximal, characteristic, complemented
32C24×C4×C17C2211yescharacteristic
33C2×C17×#127C2211yescharacteristic
34C2×C17×#124C2211yescharacteristic
35C2×C17×#124C2211yescharacteristic
36C2×C17×#124C2211yescharacteristic
37C2×C17×#124C2211yescharacteristic, complemented
38C2×C17×#123C2211yescharacteristic
39C2×C17×#123C2211yescharacteristic
40C2×C17×#123C2211yescharacteristic
41C2×C17×#123C2211yescharacteristic, complemented
42C2×C17×C22⋊Q8C2211yescharacteristic, complemented
43C2×C17×#121C2211yescharacteristic
44C2×C17×#121C2211yescharacteristic
45C2×C17×#121C2211yescharacteristic
46C2×C17×#121C2211yescharacteristic
47C2×C17×#121C2211yescharacteristic
48C2×C17×#121C2211yescharacteristic
49C2×C17×#121C2211yescharacteristic, complemented
50C2×C17×#120C2211yescharacteristic
51C2×C17×#120C2211yescharacteristic
52C2×C17×#120C2211yescharacteristic
53C2×C17×#120C2211yescharacteristic
54C2×C4×D4×C17C2211yescharacteristic
55C2×C4×D4×C17C2211yescharacteristic
56C2×C4×D4×C17C2211yescharacteristic
57C17×#400C2211yescharacteristic, complemented
58C17×#400C2211yescharacteristic, complemented
59C17×#400C2211yescharacteristic, complemented
60C17×#398C2211yescharacteristic, complemented
61C17×#398C2211yescharacteristic, complemented
62C17×#398C2211yescharacteristic, complemented
63C17×#397C2211yescharacteristic
64C17×#397C2211yescharacteristic
65C17×#397C2211yescharacteristic
66C17×#397C2211yescharacteristic, complemented
67C17×#397C2211yescharacteristic, complemented
68C17×#397C2211yescharacteristic, complemented
69C17×#397C2211yescharacteristic, complemented
70C17×#397C2211yescharacteristic, complemented
71C17×#397C2211yescharacteristic, complemented
72C17×#396C2211yescharacteristic
73C17×#396C2211yescharacteristic, complemented
74C17×#396C2211yescharacteristic, complemented
75C17×#395C2211yescharacteristic, complemented
76C17×#394C2211yescharacteristic
77C17×#394C2211yescharacteristic
78C17×#394C2211yescharacteristic
79C17×#394C2211yescharacteristic
80C17×#394C2211yescharacteristic
81C17×#394C2211yescharacteristic
82C17×#394C2211yescharacteristic
83C17×#394C2211yescharacteristic
84C17×#394C2211yescharacteristic, complemented
85C17×#394C2211yescharacteristic, complemented
86C17×#394C2211yescharacteristic, complemented
87C17×#394C2211yescharacteristic, complemented
88C17×#394C2211yescharacteristic, complemented
89C17×#393C2211yescharacteristic
90C17×#393C2211yescharacteristic
91C17×#393C2211yescharacteristic
92C17×#393C2211yescharacteristic, complemented
93C17×#393C2211yescharacteristic, complemented
94C17×#392C2211yescharacteristic
95C17×#392C2211yescharacteristic
96C17×#392C2211yescharacteristic
97C17×#392C2211yescharacteristic
98C17×#392C2211yescharacteristic
99C17×#392C2211yescharacteristic
100C17×#392C2211yescharacteristic
101C17×#392C2211yescharacteristic
102C17×#392C2211yescharacteristic
103C17×#392C2211yescharacteristic, complemented
104C17×#392C2211yescharacteristic, complemented
105C17×#391C2211yescharacteristic, complemented
106C17×#391C2211yescharacteristic, complemented
107C17×#391C2211yescharacteristic, complemented
108C17×#390C2211yescharacteristic
109C17×#390C2211yescharacteristic
110C17×#390C2211yescharacteristic
111C17×#390C2211yescharacteristic
112C17×#390C2211yescharacteristic, complemented
113C17×#390C2211yescharacteristic, complemented
114C17×#389C2211yescharacteristic, complemented
115C17×#389C2211yescharacteristic, complemented
116C17×#388C2211yescharacteristic
117C17×#388C2211yescharacteristic
118C17×#388C2211yescharacteristic
119C17×#388C2211yescharacteristic
120C17×#388C2211yescharacteristic
121C17×#388C2211yescharacteristic
122C17×#388C2211yescharacteristic
123C17×#388C2211yescharacteristic, complemented
124C17×#388C2211yescharacteristic, complemented
125C17×#388C2211yescharacteristic, complemented
126C17×#388C2211yescharacteristic, complemented
127C17×#388C2211yescharacteristic, complemented
128C17×#388C2211yescharacteristic, complemented
129C17×#388C2211yescharacteristic, complemented
130C17×#387C2211yescharacteristic, complemented
131C17×#387C2211yescharacteristic, complemented
132C17×#387C2211yescharacteristic, complemented
133C17×#387C2211yescharacteristic, complemented
134C17×#387C2211yescharacteristic, complemented
135C17×#386C2211yescharacteristic
136C17×#386C2211yescharacteristic
137C17×#386C2211yescharacteristic
138C17×#386C2211yescharacteristic
139C17×#386C2211yescharacteristic
140C17×#386C2211yescharacteristic
141C17×#386C2211yescharacteristic
142C17×#386C2211yescharacteristic
143C17×#386C2211yescharacteristic
144C17×#386C2211yescharacteristic
145C17×#386C2211yescharacteristic
146C17×#386C2211yescharacteristic
147C17×#386C2211yescharacteristic
148C17×#386C2211yescharacteristic
149C17×#386C2211yescharacteristic
150C17×#386C2211yescharacteristic
151C17×#386C2211yescharacteristic
152C17×#386C2211yescharacteristic
153C17×#386C2211yescharacteristic, complemented
154C17×#386C2211yescharacteristic, complemented
155C17×#386C2211yescharacteristic, complemented
156C17×#386C2211yescharacteristic, complemented
157C17×#386C2211yescharacteristic, complemented
158C17×#386C2211yescharacteristic, complemented
159C17×#385C2211yescharacteristic
160C17×#385C2211yescharacteristic
161C17×#385C2211yescharacteristic
162C17×#385C2211yescharacteristic
163C17×#385C2211yescharacteristic
164C17×#385C2211yescharacteristic
165C17×#385C2211yescharacteristic
166C17×#385C2211yescharacteristic, complemented
167C17×#383C2211yescharacteristic, complemented
168C17×#383C2211yescharacteristic, complemented
169C17×#383C2211yescharacteristic, complemented
170C17×#381C2211yescharacteristic
171C17×#381C2211yescharacteristic
172C17×#381C2211yescharacteristic, complemented
173C17×#381C2211yescharacteristic, complemented
174C17×#380C2211yescharacteristic
175C17×#380C2211yescharacteristic
176C17×#380C2211yescharacteristic
177C17×#380C2211yescharacteristic, complemented
178C17×#379C2211yescharacteristic
179C17×#379C2211yescharacteristic
180C4×C4⋊C4×C17C2211yescharacteristic, complemented
181C4×C22⋊C4×C17C2211yescharacteristic
182C4×C22⋊C4×C17C2211yescharacteristic
183C4×C22⋊C4×C17C2211yescharacteristic
184C4×C22⋊C4×C17C2211yescharacteristic, complemented
185C4×C22⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic, complemented
187C25×C17C2311yescharacteristic
188C22×Q8×C17C2311yescharacteristic
189C22×Q8×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C22×D4×C17C2311yescharacteristic
201C22×D4×C17C2311yescharacteristic
202C22×D4×C17C2311yescharacteristic
203C22×D4×C17C2311yescharacteristic
204C22×D4×C17C2311yescharacteristic
205C22×D4×C17C2311yescharacteristic
206C22×D4×C17C2311yescharacteristic
207C22×D4×C17C2311yescharacteristic
208C23×C4×C17—42no—
209C23×C4×C17—42no—
210C23×C4×C17—42no—
211C23×C4×C17C2311yescharacteristic
212C23×C4×C17C2311yescharacteristic
213C23×C4×C17C2311yescharacteristic
214C23×C4×C17C2311yescharacteristic
215C23×C4×C17C2311yescharacteristic
216C23×C4×C17C2311yescharacteristic
217C23×C4×C17C2311yescharacteristic
218C23×C4×C17C2311yescharacteristic
219C23×C4×C17C2311yescharacteristic
220C23×C4×C17C2311yescharacteristic
221C17×#127—42no—
222C17×#124—24no—
223C17×#124—42no—
224C17×#124—42no—
225C17×#124—42no—
226C17×#123—42no—
227C17×#123—42no—
228C17×#123—42no—
229C17×#123—42no—
230C17×C22⋊Q8—42no—
231C17×#121—24no—
232C17×#121—42no—
233C17×#121—42no—
234C17×#121—42no—
235C17×#121—42no—
236C17×#121—42no—
237C17×#121—42no—
238C17×#120—24no—
239C17×#120—42no—
240C17×#120—42no—
241C17×#120—42no—
242C4×D4×C17—42no—
243C4×D4×C17—42no—
244C4×D4×C17—42no—
245C2×C4⋊C4×C17C2311yescharacteristic
246C2×C4⋊C4×C17C2311yescharacteristic
247C2×C4⋊C4×C17C2311yescharacteristic
248C2×C4⋊C4×C17C2311yescharacteristic
249C2×C4⋊C4×C17C2311yescharacteristic
250C2×C4⋊C4×C17C2311yescharacteristic
251C2×C4⋊C4×C17C2311yescharacteristic
252C2×C4⋊C4×C17C2311yescharacteristic
253C2×C4⋊C4×C17C2311yescharacteristic
254C2×C4⋊C4×C17C2311yescharacteristic
255C2×C4⋊C4×C17C2311yescharacteristic
256C2×C4⋊C4×C17C2311yescharacteristic
257C2×C4⋊C4×C17C2311yescharacteristic
258C2×C4⋊C4×C17C2311yescharacteristic
259C2×C4⋊C4×C17C2311yescharacteristic
260C2×C4⋊C4×C17C2311yescharacteristic
261C2×C4⋊C4×C17C2311yescharacteristic
262C2×C4⋊C4×C17C2311yescharacteristic
263C2×C4⋊C4×C17C2311yescharacteristic
264C2×C4⋊C4×C17C2311yescharacteristic
265C2×C22⋊C4×C17C2311yescharacteristic
266C2×C22⋊C4×C17C2311yescharacteristic
267C2×C22⋊C4×C17C2311yescharacteristic
268C2×C22⋊C4×C17C2311yescharacteristic
269C2×C22⋊C4×C17C2311yescharacteristic
270C2×C22⋊C4×C17C2311yescharacteristic
271C2×C22⋊C4×C17C2311yescharacteristic
272C2×C22⋊C4×C17C2311yescharacteristic
273C2×C22⋊C4×C17C2311yescharacteristic
274C2×C22⋊C4×C17C2311yescharacteristic
275C2×C22⋊C4×C17C2311yescharacteristic
276C2×C22⋊C4×C17C2311yescharacteristic
277C2×C22⋊C4×C17C2311yescharacteristic
278C2×C22⋊C4×C17C2311yescharacteristic
279C2×C22⋊C4×C17C2311yescharacteristic
280C2×C22⋊C4×C17C2311yescharacteristic
281C2×C22⋊C4×C17C2311yescharacteristic
282C2×C22⋊C4×C17C2311yescharacteristic
283C2×C22⋊C4×C17C2311yescharacteristic
284C2×C22⋊C4×C17C2311yescharacteristic
285C2×C22⋊C4×C17C2311yescharacteristic
286C2×C22⋊C4×C17C2311yescharacteristic
287C2×C22⋊C4×C17C2311yescharacteristic
288C2×C22⋊C4×C17C2311yescharacteristic
289C2×C22⋊C4×C17C2311yescharacteristic
290C2×C22⋊C4×C17C2311yescharacteristic
291C2×C22⋊C4×C17C2311yescharacteristic
292C2×C22⋊C4×C17C2311yescharacteristic
293C2×C22⋊C4×C17C2311yescharacteristic
294C2×C22⋊C4×C17C2311yescharacteristic
295C2×C22⋊C4×C17C2311yescharacteristic
296C2×C22⋊C4×C17C2311yescharacteristic
297C2×C22⋊C4×C17C2311yescharacteristic
298C2×C22⋊C4×C17C2311yescharacteristic
299C2×C22⋊C4×C17C2311yescharacteristic
300C2×C22⋊C4×C17C2311yescharacteristic
301C2×C22⋊C4×C17C2311yescharacteristic
302C2×C22⋊C4×C17C2311yescharacteristic
303C2×C22⋊C4×C17C2311yescharacteristic
304C2×C22⋊C4×C17C2311yescharacteristic
305C2×C22⋊C4×C17C2311yescharacteristic
306C2×C22⋊C4×C17C2311yescharacteristic
307C2×C22⋊C4×C17C2311yescharacteristic
308C2×C22⋊C4×C17C2311yescharacteristic
309C2×C22⋊C4×C17C2311yescharacteristic
310C2×C22⋊C4×C17C2311yescharacteristic
311C2×C22⋊C4×C17C2311yescharacteristic
312C2×C22⋊C4×C17C2311yescharacteristic
313C2×C22⋊C4×C17C2311yescharacteristic
314C2×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×C42×C17C2311yescharacteristic
322C2×C42×C17C2311yescharacteristic
323C2×C42×C17C2311yescharacteristic
324C2×C42×C17C2311yescharacteristic
325C2×C42×C17C2311yescharacteristic
326C2×C42×C17C2311yescharacteristic
327C2×C42×C17C2311yescharacteristic
328C2×C42×C17C2311yescharacteristic
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C17×#95C2311yescharacteristic
364C17×#95C2311yescharacteristic
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
367C17×#95C2311yescharacteristic
368C17×#95C2311yescharacteristic
369C24×C17—22no—
370C24×C17—22no—
371C24×C17—22no—
372C24×C17—41no—
373C24×C17—41no—
374C24×C17—41no—
375C24×C17—41no—
376C24×C17C2411yescharacteristic
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C24×C17C2411yescharacteristic
380C24×C17C2411yescharacteristic
381C24×C17C2411yescharacteristic
382C24×C17C2411yescharacteristic
383C2×Q8×C17—22no—
384C2×Q8×C17—41no—
385C2×Q8×C17—41no—
386C2×Q8×C17—41no—
387C2×Q8×C17—41no—
388C2×Q8×C17—41no—
389C2×D4×C17—22no—
390C2×D4×C17—22no—
391C2×D4×C17—22no—
392C2×D4×C17—22no—
393C2×D4×C17—22no—
394C2×D4×C17—22no—
395C2×D4×C17—22no—
396C2×D4×C17—22no—
397C2×D4×C17—22no—
398C2×D4×C17—22no—
399C2×D4×C17—22no—
400C2×D4×C17—22no—
401C2×D4×C17—22no—
402C2×D4×C17—22no—
403C2×D4×C17—22no—
404C2×D4×C17—22no—
405C2×D4×C17—41no—
406C2×D4×C17—41no—
407C2×D4×C17—41no—
408C2×D4×C17—41no—
409C2×D4×C17—41no—
410C2×D4×C17—41no—
411C2×D4×C17—41no—
412C2×D4×C17—41no—
413C2×D4×C17—41no—
414C2×D4×C17—41no—
415C2×D4×C17—41no—
416C2×D4×C17—41no—
417C2×D4×C17—41no—
418C2×D4×C17—41no—
419C2×D4×C17—41no—
420C2×D4×C17—41no—
421C2×D4×C17—41no—
422C2×D4×C17—41no—
423C2×D4×C17—41no—
424C2×D4×C17—41no—
425C2×D4×C17—41no—
426C2×D4×C17—41no—
427C2×D4×C17—41no—
428C2×D4×C17—41no—
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—41no—
438C2×D4×C17—41no—
439C2×D4×C17—41no—
440C2×D4×C17—41no—
441C2×D4×C17—41no—
442C2×D4×C17—41no—
443C22×C4×C17—22no—
444C22×C4×C17—22no—
445C22×C4×C17—22no—
446C22×C4×C17—22no—
447C22×C4×C17—22no—
448C22×C4×C17—22no—
449C22×C4×C17—22no—
450C22×C4×C17—22no—
451C22×C4×C17—22no—
452C22×C4×C17—22no—
453C22×C4×C17—41no—
454C22×C4×C17—41no—
455C22×C4×C17—41no—
456C22×C4×C17—41no—
457C22×C4×C17—41no—
458C22×C4×C17—41no—
459C22×C4×C17—41no—
460C22×C4×C17—41no—
461C22×C4×C17—41no—
462C22×C4×C17—41no—
463C22×C4×C17—41no—
464C22×C4×C17—41no—
465C22×C4×C17—41no—
466C22×C4×C17—41no—
467C22×C4×C17—41no—
468C22×C4×C17—41no—
469C22×C4×C17—41no—
470C22×C4×C17—41no—
471C22×C4×C17—41no—
472C22×C4×C17—41no—
473C22×C4×C17—416no—
474C22×C4×C17C2411yescharacteristic
475C22×C4×C17C2411yescharacteristic
476C22×C4×C17C2411yescharacteristic
477C22×C4×C17C2411yescharacteristic
478C22×C4×C17C2411yescharacteristic
479C22×C4×C17C2411yescharacteristic
480C22×C4×C17C2411yescharacteristic
481C22×C4×C17C2411yescharacteristic
482C22×C4×C17C2411yescharacteristic
483C22×C4×C17C2411yescharacteristic
484C22×C4×C17C2411yescharacteristic
485C22×C4×C17C2411yescharacteristic
486C22×C4×C17C2411yescharacteristic
487C22×C4×C17C2411yescharacteristic
488C22×C4×C17C2411yescharacteristic
489C22×C4×C17C2411yescharacteristic
490C22×C4×C17C2411yescharacteristic
491C22×C4×C17C2411yescharacteristic
492C22×C4×C17C2411yescharacteristic
493C22×C4×C17C2411yescharacteristic
494C22×C4×C17C2411yescharacteristic
495C22×C4×C17C2411yescharacteristic
496C22×C4×C17C2411yescharacteristic
497C22×C4×C17C2411yescharacteristic
498C4⋊C4×C17—22no—
499C4⋊C4×C17—22no—
500C4⋊C4×C17—22no—
501C4⋊C4×C17—22no—
502C4⋊C4×C17—22no—
503C4⋊C4×C17—41no—
504C4⋊C4×C17—41no—
505C4⋊C4×C17—41no—
506C4⋊C4×C17—41no—
507C4⋊C4×C17—41no—
508C4⋊C4×C17—41no—
509C4⋊C4×C17—41no—
510C4⋊C4×C17—41no—
511C4⋊C4×C17—41no—
512C4⋊C4×C17—41no—
513C4⋊C4×C17—41no—
514C4⋊C4×C17—41no—
515C4⋊C4×C17—41no—
516C4⋊C4×C17—41no—
517C4⋊C4×C17—41no—
518C22⋊C4×C17—22no—
519C22⋊C4×C17—22no—
520C22⋊C4×C17—22no—
521C22⋊C4×C17—22no—
522C22⋊C4×C17—22no—
523C22⋊C4×C17—22no—
524C22⋊C4×C17—22no—
525C22⋊C4×C17—22no—
526C22⋊C4×C17—22no—
527C22⋊C4×C17—22no—
528C22⋊C4×C17—22no—
529C22⋊C4×C17—22no—
530C22⋊C4×C17—22no—
531C22⋊C4×C17—22no—
532C22⋊C4×C17—22no—
533C22⋊C4×C17—22no—
534C22⋊C4×C17—22no—
535C22⋊C4×C17—41no—
536C22⋊C4×C17—41no—
537C22⋊C4×C17—41no—
538C22⋊C4×C17—41no—
539C22⋊C4×C17—41no—
540C22⋊C4×C17—41no—
541C22⋊C4×C17—41no—
542C22⋊C4×C17—41no—
543C22⋊C4×C17—41no—
544C22⋊C4×C17—41no—
545C22⋊C4×C17—41no—
546C22⋊C4×C17—41no—
547C22⋊C4×C17—41no—
548C22⋊C4×C17—41no—
549C22⋊C4×C17—41no—
550C22⋊C4×C17—41no—
551C22⋊C4×C17—41no—
552C22⋊C4×C17—41no—
553C22⋊C4×C17—41no—
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#4114yes—
574C42×C17—22no—
575C42×C17—22no—
576C42×C17—41no—
577C42×C17—41no—
578C42×C17—41no—
579C42×C17—41no—
580C42×C17—41no—
581C42×C17—41no—
582#36857C1711yesmaximal, characteristic, direct product factor, Sylow
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—21no—
599C23×C17—21no—
600C23×C17—21no—
601C23×C17—21no—
602C23×C17—21no—
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—21no—
606C23×C17—21no—
607C23×C17—21no—
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—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—44no—
630C23×C17—44no—
631C23×C17—44no—
632C23×C17—44no—
633C23×C17—44no—
634C23×C17—44no—
635C23×C17—44no—
636C23×C17C2×#4112yes—
637C23×C17H(5,𝔽2)12yes—
638C23×C17H(5,𝔽2)12yes—
639C23×C17C2511yescharacteristic
640Q8×C17—82no—
641Q8×C17—82no—
642D4×C17—44no—
643D4×C17—44no—
644D4×C17—44no—
645D4×C17—82no—
646D4×C17—82no—
647D4×C17—82no—
648D4×C17—82no—
649D4×C17—82no—
650D4×C17—82no—
651D4×C17—82no—
652D4×C17—82no—
653D4×C17—82no—
654D4×C17—82no—
655D4×C17—82no—
656D4×C17—82no—
657D4×C17—82no—
658D4×C17—82no—
659D4×C17—82no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
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—44no—
729C2×C4×C17—44no—
730C2×C4×C17—44no—
731C2×C4×C17—44no—
732C2×C4×C17—44no—
733C2×C4×C17—44no—
734C2×C4×C17—82no—
735C2×C4×C17—82no—
736C2×C4×C17—82no—
737C2×C4×C17—82no—
738C2×C4×C17C2×#4112yes—
739C2×C4×C17C2×#4112yes—
740C2×C4×C17H(5,𝔽2)12yes—
741C2×C4×C17H(5,𝔽2)12yes—
742#2849C2×C1711yescharacteristic, complemented
743#2847C2×C1711yescharacteristic, complemented
744#2788C2×C1711yescharacteristic, complemented
745#2757C2×C1711yescharacteristic, complemented
746#2756C2×C1711yescharacteristic, complemented
747#2749C2×C1711yescharacteristic, complemented
748#2737C2×C1711yescharacteristic, complemented
749#2712C2×C1711yescharacteristic, complemented
750#2701C2×C1711yescharacteristic, complemented
751#2688C2×C1711yescharacteristic, complemented
752#2688C2×C1711yescharacteristic, complemented
753#2687C2×C1711yescharacteristic, complemented
754#2684C2×C1711yescharacteristic, complemented
755#2678C2×C1711yescharacteristic, complemented
756#2676C2×C1711yescharacteristic, complemented
757#2673C2×C1711yescharacteristic, complemented
758#2670C2×C1711yescharacteristic, complemented
759#2669C2×C1711yescharacteristic, complemented
760#2631C2×C1711yescharacteristic, complemented
761#2630C2×C1711yescharacteristic, complemented
762#2577C2×C1711yescharacteristic, complemented
763#2572C2×C1711yescharacteristic, complemented
764#2557C2×C1711yescharacteristic, complemented
765#2555C2×C1711yescharacteristic, complemented
766#2464C2×C1711yescharacteristic, complemented
767#2457C2×C1711yescharacteristic, complemented
768#2445C2×C1711yescharacteristic, complemented
769#2427C2×C1711yescharacteristic, complemented
770#2337C2×C1711yescharacteristic, complemented
771#2333C2×C1711yescharacteristic, complemented
772C4×#120C2×C1711yescharacteristic, complemented
773C22×C17—22no—
774C22×C17—22no—
775C22×C17—22no—
776C22×C17—22no—
777C22×C17—22no—
778C22×C17—22no—
779C22×C17—22no—
780C22×C17—22no—
781C22×C17—22no—
782C22×C17—416no—
783C22×C17—41no—
784C22×C17—41no—
785C22×C17—41no—
786C22×C17—41no—
787C22×C17—41no—
788C22×C17—41no—
789C22×C17—41no—
790C22×C17—41no—
791C22×C17—41no—
792C22×C17—41no—
793C22×C17—41no—
794C22×C17—41no—
795C22×C17—41no—
796C22×C17—41no—
797C22×C17—41no—
798C22×C17—41no—
799C22×C17—41no—
800C22×C17—41no—
801C22×C17—41no—
802C22×C17—41no—
803C22×C17—41no—
804C22×C17—41no—
805C22×C17—41no—
806C22×C17—41no—
807C22×C17—41no—
808C22×C17—41no—
809C22×C17—41no—
810C22×C17—41no—
811C22×C17—41no—
812C22×C17—41no—
813C22×C17—41no—
814C22×C17—41no—
815C22×C17—41no—
816C22×C17—41no—
817C22×C17—41no—
818C22×C17—41no—
819C22×C17—41no—
820C22×C17—41no—
821C22×C17—41no—
822C22×C17—41no—
823C22×C17C22×#4111yescharacteristic
824C22×C17C2×H(5,𝔽2)11yescharacteristic
825C22×C17C2×H(5,𝔽2)11yescharacteristic
826C22×C17C2×H(5,𝔽2)11yescharacteristic
827C22×C17C2×H(5,𝔽2)11yescharacteristic
828C22×C17#58511yescharacteristic
829C22×C17#58511yescharacteristic
830C4×C17—22no—
831C4×C17—22no—
832C4×C17—22no—
833C4×C17—22no—
834C4×C17—41no—
835C4×C17—41no—
836C4×C17—41no—
837C4×C17—41no—
838C4×C17—41no—
839C4×C17—41no—
840C4×C17—41no—
841C4×C17—41no—
842C4×C17—41no—
843C4×C17—41no—
844C4×C17—41no—
845C4×C17—41no—
846C4×C17—41no—
847C4×C17—41no—
848C4×C17—41no—
849C4×C17—41no—
850C4×C17—41no—
851C4×C17—41no—
852C4×C17—41no—
853C4×C17—41no—
854C24×C4C22×C1711yescharacteristic
855C2×#127C22×C1711yescharacteristic
856C2×#124C22×C1711yescharacteristic
857C2×#124C22×C1711yescharacteristic
858C2×#124C22×C1711yescharacteristic
859C2×#124C22×C1711yescharacteristic, complemented
860C2×#123C22×C1711yescharacteristic
861C2×#123C22×C1711yescharacteristic
862C2×#123C22×C1711yescharacteristic
863C2×#123C22×C1711yescharacteristic, complemented
864C2×C22⋊Q8C22×C1711yescharacteristic, complemented
865C2×#121C22×C1711yescharacteristic
866C2×#121C22×C1711yescharacteristic
867C2×#121C22×C1711yescharacteristic
868C2×#121C22×C1711yescharacteristic
869C2×#121C22×C1711yescharacteristic
870C2×#121C22×C1711yescharacteristic
871C2×#121C22×C1711yescharacteristic, complemented
872C2×#120C22×C1711yescharacteristic
873C2×#120C22×C1711yescharacteristic
874C2×#120C22×C1711yescharacteristic
875C2×#120C22×C1711yescharacteristic
876C2×C4×D4C22×C1711yescharacteristic
877C2×C4×D4C22×C1711yescharacteristic
878C2×C4×D4C22×C1711yescharacteristic
879#400C22×C1711yescharacteristic, complemented
880#400C22×C1711yescharacteristic, complemented
881#400C22×C1711yescharacteristic, complemented
882#398C22×C1711yescharacteristic, complemented
883#398C22×C1711yescharacteristic, complemented
884#398C22×C1711yescharacteristic, complemented
885#397C22×C1711yescharacteristic
886#397C22×C1711yescharacteristic
887#397C22×C1711yescharacteristic
888#397C22×C1711yescharacteristic, complemented
889#397C22×C1711yescharacteristic, complemented
890#397C22×C1711yescharacteristic, complemented
891#397C22×C1711yescharacteristic, complemented
892#397C22×C1711yescharacteristic, complemented
893#397C22×C1711yescharacteristic, complemented
894#396C22×C1711yescharacteristic
895#396C22×C1711yescharacteristic, complemented
896#396C22×C1711yescharacteristic, complemented
897#395C22×C1711yescharacteristic, complemented
898#394C22×C1711yescharacteristic
899#394C22×C1711yescharacteristic
900#394C22×C1711yescharacteristic
901#394C22×C1711yescharacteristic
902#394C22×C1711yescharacteristic
903#394C22×C1711yescharacteristic
904#394C22×C1711yescharacteristic
905#394C22×C1711yescharacteristic
906#394C22×C1711yescharacteristic, complemented
907#394C22×C1711yescharacteristic, complemented
908#394C22×C1711yescharacteristic, complemented
909#394C22×C1711yescharacteristic, complemented
910#394C22×C1711yescharacteristic, complemented
911#393C22×C1711yescharacteristic
912#393C22×C1711yescharacteristic
913#393C22×C1711yescharacteristic
914#393C22×C1711yescharacteristic, complemented
915#393C22×C1711yescharacteristic, complemented
916#392C22×C1711yescharacteristic
917#392C22×C1711yescharacteristic
918#392C22×C1711yescharacteristic
919#392C22×C1711yescharacteristic
920#392C22×C1711yescharacteristic
921#392C22×C1711yescharacteristic
922#392C22×C1711yescharacteristic
923#392C22×C1711yescharacteristic
924#392C22×C1711yescharacteristic
925#392C22×C1711yescharacteristic, complemented
926#392C22×C1711yescharacteristic, complemented
927#391C22×C1711yescharacteristic, complemented
928#391C22×C1711yescharacteristic, complemented
929#391C22×C1711yescharacteristic, complemented
930#390C22×C1711yescharacteristic
931#390C22×C1711yescharacteristic
932#390C22×C1711yescharacteristic
933#390C22×C1711yescharacteristic
934#390C22×C1711yescharacteristic, complemented
935#390C22×C1711yescharacteristic, complemented
936#389C22×C1711yescharacteristic, complemented
937#389C22×C1711yescharacteristic, complemented
938#388C22×C1711yescharacteristic
939#388C22×C1711yescharacteristic
940#388C22×C1711yescharacteristic
941#388C22×C1711yescharacteristic
942#388C22×C1711yescharacteristic
943#388C22×C1711yescharacteristic
944#388C22×C1711yescharacteristic
945#388C22×C1711yescharacteristic, complemented
946#388C22×C1711yescharacteristic, complemented
947#388C22×C1711yescharacteristic, complemented
948#388C22×C1711yescharacteristic, complemented
949#388C22×C1711yescharacteristic, complemented
950#388C22×C1711yescharacteristic, complemented
951#388C22×C1711yescharacteristic, complemented
952#387C22×C1711yescharacteristic, complemented
953#387C22×C1711yescharacteristic, complemented
954#387C22×C1711yescharacteristic, complemented
955#387C22×C1711yescharacteristic, complemented
956#387C22×C1711yescharacteristic, complemented
957#386C22×C1711yescharacteristic
958#386C22×C1711yescharacteristic
959#386C22×C1711yescharacteristic
960#386C22×C1711yescharacteristic
961#386C22×C1711yescharacteristic
962#386C22×C1711yescharacteristic
963#386C22×C1711yescharacteristic
964#386C22×C1711yescharacteristic
965#386C22×C1711yescharacteristic
966#386C22×C1711yescharacteristic
967#386C22×C1711yescharacteristic
968#386C22×C1711yescharacteristic
969#386C22×C1711yescharacteristic
970#386C22×C1711yescharacteristic
971#386C22×C1711yescharacteristic
972#386C22×C1711yescharacteristic
973#386C22×C1711yescharacteristic
974#386C22×C1711yescharacteristic
975#386C22×C1711yescharacteristic, complemented
976#386C22×C1711yescharacteristic, complemented
977#386C22×C1711yescharacteristic, complemented
978#386C22×C1711yescharacteristic, complemented
979#386C22×C1711yescharacteristic, complemented
980#386C22×C1711yescharacteristic, complemented
981#385C22×C1711yescharacteristic
982#385C22×C1711yescharacteristic
983#385C22×C1711yescharacteristic
984#385C22×C1711yescharacteristic
985#385C22×C1711yescharacteristic
986#385C22×C1711yescharacteristic
987#385C22×C1711yescharacteristic
988#385C22×C1711yescharacteristic, complemented
989#383C22×C1711yescharacteristic, complemented
990#383C22×C1711yescharacteristic, complemented
991#383C22×C1711yescharacteristic, complemented
992#381C22×C1711yescharacteristic
993#381C22×C1711yescharacteristic
994#381C22×C1711yescharacteristic, complemented
995#381C22×C1711yescharacteristic, complemented
996#380C22×C1711yescharacteristic
997#380C22×C1711yescharacteristic
998#380C22×C1711yescharacteristic
999#380C22×C1711yescharacteristic, complemented
1000#379C22×C1711yescharacteristic
1001#379C22×C1711yescharacteristic
1002C4×C4⋊C4C22×C1711yescharacteristic, complemented
1003C4×C22⋊C4C22×C1711yescharacteristic
1004C4×C22⋊C4C22×C1711yescharacteristic
1005C4×C22⋊C4C22×C1711yescharacteristic
1006C4×C22⋊C4C22×C1711yescharacteristic, complemented
1007C4×C22⋊C4C22×C1711yescharacteristic, complemented
1008C4×C22⋊C4C22×C1711yescharacteristic, complemented
1009C2×C17—42no—
1010C2×C17—42no—
1011C2×C17—42no—
1012C2×C17—81no—
1013C2×C17—81no—
1014C2×C17—81no—
1015C2×C17—81no—
1016C2×C17#346011yescharacteristic
1017C2×C17#351311yescharacteristic
1018C2×C17#351911yescharacteristic
1019C2×C17#353211yescharacteristic
1020C2×C17#353411yescharacteristic
1021C2×C17#354011yescharacteristic
1022C2×C17#354211yescharacteristic
1023C25C23×C1711yescharacteristic
1024C22×Q8C23×C1711yescharacteristic
1025C22×Q8C23×C1711yescharacteristic
1026C22×D4C23×C1711yescharacteristic
1027C22×D4C23×C1711yescharacteristic
1028C22×D4C23×C1711yescharacteristic
1029C22×D4C23×C1711yescharacteristic
1030C22×D4C23×C1711yescharacteristic
1031C22×D4C23×C1711yescharacteristic
1032C22×D4C23×C1711yescharacteristic
1033C22×D4C23×C1711yescharacteristic
1034C22×D4C23×C1711yescharacteristic
1035C22×D4C23×C1711yescharacteristic
1036C22×D4C23×C1711yescharacteristic
1037C22×D4C23×C1711yescharacteristic
1038C22×D4C23×C1711yescharacteristic
1039C22×D4C23×C1711yescharacteristic
1040C22×D4C23×C1711yescharacteristic
1041C22×D4C23×C1711yescharacteristic
1042C22×D4C23×C1711yescharacteristic
1043C22×D4C23×C1711yescharacteristic
1044C23×C4—42no—
1045C23×C4—42no—
1046C23×C4—42no—
1047C23×C4C23×C1711yescharacteristic
1048C23×C4C23×C1711yescharacteristic
1049C23×C4C23×C1711yescharacteristic
1050C23×C4C23×C1711yescharacteristic
1051C23×C4C23×C1711yescharacteristic
1052C23×C4C23×C1711yescharacteristic
1053C23×C4C23×C1711yescharacteristic
1054C23×C4C23×C1711yescharacteristic
1055C23×C4C23×C1711yescharacteristic
1056C23×C4C23×C1711yescharacteristic
1057#127—42no—
1058#124—24no—
1059#124—42no—
1060#124—42no—
1061#124—42no—
1062#123—42no—
1063#123—42no—
1064#123—42no—
1065#123—42no—
1066C22⋊Q8—42no—
1067#121—24no—
1068#121—42no—
1069#121—42no—
1070#121—42no—
1071#121—42no—
1072#121—42no—
1073#121—42no—
1074#120—24no—
1075#120—42no—
1076#120—42no—
1077#120—42no—
1078C4×D4—42no—
1079C4×D4—42no—
1080C4×D4—42no—
1081C2×C4⋊C4C23×C1711yescharacteristic
1082C2×C4⋊C4C23×C1711yescharacteristic
1083C2×C4⋊C4C23×C1711yescharacteristic
1084C2×C4⋊C4C23×C1711yescharacteristic
1085C2×C4⋊C4C23×C1711yescharacteristic
1086C2×C4⋊C4C23×C1711yescharacteristic
1087C2×C4⋊C4C23×C1711yescharacteristic
1088C2×C4⋊C4C23×C1711yescharacteristic
1089C2×C4⋊C4C23×C1711yescharacteristic
1090C2×C4⋊C4C23×C1711yescharacteristic
1091C2×C4⋊C4C23×C1711yescharacteristic
1092C2×C4⋊C4C23×C1711yescharacteristic
1093C2×C4⋊C4C23×C1711yescharacteristic
1094C2×C4⋊C4C23×C1711yescharacteristic
1095C2×C4⋊C4C23×C1711yescharacteristic
1096C2×C4⋊C4C23×C1711yescharacteristic
1097C2×C4⋊C4C23×C1711yescharacteristic
1098C2×C4⋊C4C23×C1711yescharacteristic
1099C2×C4⋊C4C23×C1711yescharacteristic
1100C2×C4⋊C4C23×C1711yescharacteristic
1101C2×C22⋊C4C23×C1711yescharacteristic
1102C2×C22⋊C4C23×C1711yescharacteristic
1103C2×C22⋊C4C23×C1711yescharacteristic
1104C2×C22⋊C4C23×C1711yescharacteristic
1105C2×C22⋊C4C23×C1711yescharacteristic
1106C2×C22⋊C4C23×C1711yescharacteristic
1107C2×C22⋊C4C23×C1711yescharacteristic
1108C2×C22⋊C4C23×C1711yescharacteristic
1109C2×C22⋊C4C23×C1711yescharacteristic
1110C2×C22⋊C4C23×C1711yescharacteristic
1111C2×C22⋊C4C23×C1711yescharacteristic
1112C2×C22⋊C4C23×C1711yescharacteristic
1113C2×C22⋊C4C23×C1711yescharacteristic
1114C2×C22⋊C4C23×C1711yescharacteristic
1115C2×C22⋊C4C23×C1711yescharacteristic
1116C2×C22⋊C4C23×C1711yescharacteristic
1117C2×C22⋊C4C23×C1711yescharacteristic
1118C2×C22⋊C4C23×C1711yescharacteristic
1119C2×C22⋊C4C23×C1711yescharacteristic
1120C2×C22⋊C4C23×C1711yescharacteristic
1121C2×C22⋊C4C23×C1711yescharacteristic
1122C2×C22⋊C4C23×C1711yescharacteristic
1123C2×C22⋊C4C23×C1711yescharacteristic
1124C2×C22⋊C4C23×C1711yescharacteristic
1125C2×C22⋊C4C23×C1711yescharacteristic
1126C2×C22⋊C4C23×C1711yescharacteristic
1127C2×C22⋊C4C23×C1711yescharacteristic
1128C2×C22⋊C4C23×C1711yescharacteristic
1129C2×C22⋊C4C23×C1711yescharacteristic
1130C2×C22⋊C4C23×C1711yescharacteristic
1131C2×C22⋊C4C23×C1711yescharacteristic
1132C2×C22⋊C4C23×C1711yescharacteristic
1133C2×C22⋊C4C23×C1711yescharacteristic
1134C2×C22⋊C4C23×C1711yescharacteristic
1135C2×C22⋊C4C23×C1711yescharacteristic
1136C2×C22⋊C4C23×C1711yescharacteristic
1137C2×C22⋊C4C23×C1711yescharacteristic
1138C2×C22⋊C4C23×C1711yescharacteristic
1139C2×C22⋊C4C23×C1711yescharacteristic
1140C2×C22⋊C4C23×C1711yescharacteristic
1141C2×C22⋊C4C23×C1711yescharacteristic
1142C2×C22⋊C4C23×C1711yescharacteristic
1143C2×C22⋊C4C23×C1711yescharacteristic
1144C2×C22⋊C4C23×C1711yescharacteristic
1145C2×C22⋊C4C23×C1711yescharacteristic
1146C2×C22⋊C4C23×C1711yescharacteristic
1147C2×C22⋊C4C23×C1711yescharacteristic
1148C2×C22⋊C4C23×C1711yescharacteristic
1149C2×C22⋊C4C23×C1711yescharacteristic
1150C2×C22⋊C4C23×C1711yescharacteristic
1151C2×C22⋊C4C23×C1711yescharacteristic
1152C2×C22⋊C4C23×C1711yescharacteristic
1153C2×C22⋊C4C23×C1711yescharacteristic
1154C2×C22⋊C4C23×C1711yescharacteristic
1155C2×C22⋊C4C23×C1711yescharacteristic
1156C2×C22⋊C4C23×C1711yescharacteristic
1157C2×C42C23×C1711yescharacteristic
1158C2×C42C23×C1711yescharacteristic
1159C2×C42C23×C1711yescharacteristic
1160C2×C42C23×C1711yescharacteristic
1161C2×C42C23×C1711yescharacteristic
1162C2×C42C23×C1711yescharacteristic
1163C2×C42C23×C1711yescharacteristic
1164C2×C42C23×C1711yescharacteristic
1165#95C23×C1711yescharacteristic
1166#95C23×C1711yescharacteristic
1167#95C23×C1711yescharacteristic
1168#95C23×C1711yescharacteristic
1169#95C23×C1711yescharacteristic
1170#95C23×C1711yescharacteristic
1171#95C23×C1711yescharacteristic
1172#95C23×C1711yescharacteristic
1173#95C23×C1711yescharacteristic
1174#95C23×C1711yescharacteristic
1175#95C23×C1711yescharacteristic
1176#95C23×C1711yescharacteristic
1177#95C23×C1711yescharacteristic
1178#95C23×C1711yescharacteristic
1179#95C23×C1711yescharacteristic
1180#95C23×C1711yescharacteristic
1181#95C23×C1711yescharacteristic
1182#95C23×C1711yescharacteristic
1183#95C23×C1711yescharacteristic
1184#95C23×C1711yescharacteristic
1185#95C23×C1711yescharacteristic
1186#95C23×C1711yescharacteristic
1187#95C23×C1711yescharacteristic
1188#95C23×C1711yescharacteristic
1189#95C23×C1711yescharacteristic
1190#95C23×C1711yescharacteristic
1191#95C23×C1711yescharacteristic
1192#95C23×C1711yescharacteristic
1193#95C23×C1711yescharacteristic
1194#95C23×C1711yescharacteristic
1195#95C23×C1711yescharacteristic
1196#95C23×C1711yescharacteristic
1197#95C23×C1711yescharacteristic
1198#95C23×C1711yescharacteristic
1199#95C23×C1711yescharacteristic
1200#95C23×C1711yescharacteristic
1201#95C23×C1711yescharacteristic
1202#95C23×C1711yescharacteristic
1203#95C23×C1711yescharacteristic
1204#95C23×C1711yescharacteristic
1205C17#3685711yescharacteristic, direct product factor, Sylow
1206C24—22no—
1207C24—22no—
1208C24—22no—
1209C24—41no—
1210C24—41no—
1211C24—41no—
1212C24—41no—
1213C24C24×C1711yescharacteristic
1214C24C24×C1711yescharacteristic
1215C24C24×C1711yescharacteristic
1216C24C24×C1711yescharacteristic
1217C24C24×C1711yescharacteristic
1218C24C24×C1711yescharacteristic
1219C24C24×C1711yescharacteristic
1220C2×Q8—22no—
1221C2×Q8—41no—
1222C2×Q8—41no—
1223C2×Q8—41no—
1224C2×Q8—41no—
1225C2×Q8—41no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—416no—
1311C22×C4C24×C1711yescharacteristic
1312C22×C4C24×C1711yescharacteristic
1313C22×C4C24×C1711yescharacteristic
1314C22×C4C24×C1711yescharacteristic
1315C22×C4C24×C1711yescharacteristic
1316C22×C4C24×C1711yescharacteristic
1317C22×C4C24×C1711yescharacteristic
1318C22×C4C24×C1711yescharacteristic
1319C22×C4C24×C1711yescharacteristic
1320C22×C4C24×C1711yescharacteristic
1321C22×C4C24×C1711yescharacteristic
1322C22×C4C24×C1711yescharacteristic
1323C22×C4C24×C1711yescharacteristic
1324C22×C4C24×C1711yescharacteristic
1325C22×C4C24×C1711yescharacteristic
1326C22×C4C24×C1711yescharacteristic
1327C22×C4C24×C1711yescharacteristic
1328C22×C4C24×C1711yescharacteristic
1329C22×C4C24×C1711yescharacteristic
1330C22×C4C24×C1711yescharacteristic
1331C22×C4C24×C1711yescharacteristic
1332C22×C4C24×C1711yescharacteristic
1333C22×C4C24×C1711yescharacteristic
1334C22×C4C24×C1711yescharacteristic
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
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—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
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—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4#41×C1714yes—
1411C42—22no—
1412C42—22no—
1413C42—41no—
1414C42—41no—
1415C42—41no—
1416C42—41no—
1417C42—41no—
1418C42—41no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23C2×#41×C1712yes—
1473C23C17×H(5,𝔽2)12yes—
1474C23C17×H(5,𝔽2)12yes—
1475C23C25×C1711yescharacteristic
1476Q8—82no—
1477Q8—82no—
1478D4—44no—
1479D4—44no—
1480D4—44no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492D4—82no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4—82no—
1573C2×C4—82no—
1574C2×C4C2×#41×C1712yes—
1575C2×C4C2×#41×C1712yes—
1576C2×C4C17×H(5,𝔽2)12yes—
1577C2×C4C17×H(5,𝔽2)12yes—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—416no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22C22×#41×C1711yescharacteristic
1629C22C2×C17×H(5,𝔽2)11yescharacteristic
1630C22C2×C17×H(5,𝔽2)11yescharacteristic
1631C22C2×C17×H(5,𝔽2)11yescharacteristic
1632C22C2×C17×H(5,𝔽2)11yescharacteristic
1633C22C17×#58511yescharacteristic
1634C22C17×#58511yescharacteristic
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—81no—
1663C2—81no—
1664C2—81no—
1665C2—81no—
1666C2C17×#346011yescharacteristic
1667C2C17×#351311yescharacteristic
1668C2C17×#351911yescharacteristic
1669C2C17×#353211yescharacteristic
1670C2C17×#353411yescharacteristic
1671C2C17×#354011yescharacteristic
1672C2C17×#354211yescharacteristic
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×#2788C2semidirect
4. C17×#2757C2semidirect
5. C17×#2756C2semidirect
6. C17×#2749C2semidirect
7. C17×#2737C2semidirect
8. C17×#2712C2semidirect
9. C17×#2701C2semidirect
10. C17×#2688C2semidirect
11. C17×#2688C2semidirect
12. C17×#2687C2semidirect
13. C17×#2684C2semidirect
14. C17×#2678C2semidirect
15. C17×#2676C2semidirect
16. C17×#2673C2semidirect
17. C17×#2670C2semidirect
18. C17×#2669C2semidirect
19. C17×#2631C2semidirect
20. C17×#2630C2semidirect
21. C17×#2577C2semidirect
22. C17×#2572C2semidirect
23. C17×#2557C2semidirect
24. C17×#2555C2semidirect
25. C17×#2464C2semidirect
26. C17×#2457C2semidirect
27. C17×#2445C2semidirect
28. C17×#2427C2semidirect
29. C17×#2337C2semidirect
30. C17×#2333C2semidirect
31. C4×C17×#120C2semidirect
37. C2×C17×#124C22semidirect
41. C2×C17×#123C22semidirect
42. C2×C17×C22⋊Q8C22semidirect
49. C2×C17×#121C22semidirect
57. C17×#400C22semidirect
58. C17×#400C22semidirect
59. C17×#400C22semidirect
60. C17×#398C22semidirect
61. C17×#398C22semidirect
62. C17×#398C22semidirect
66. C17×#397C22semidirect
67. C17×#397C22semidirect
68. C17×#397C22semidirect
69. C17×#397C22semidirect
70. C17×#397C22semidirect
71. C17×#397C22semidirect
73. C17×#396C22semidirect
74. C17×#396C22semidirect
75. C17×#395C22semidirect
84. C17×#394C22semidirect
85. C17×#394C22semidirect
86. C17×#394C22semidirect
87. C17×#394C22semidirect
88. C17×#394C22semidirect
92. C17×#393C22semidirect
93. C17×#393C22semidirect
103. C17×#392C22semidirect
104. C17×#392C22semidirect
105. C17×#391C22semidirect
106. C17×#391C22semidirect
107. C17×#391C22semidirect
112. C17×#390C22semidirect
113. C17×#390C22semidirect
114. C17×#389C22semidirect
115. C17×#389C22semidirect
123. C17×#388C22semidirect
124. C17×#388C22semidirect
125. C17×#388C22semidirect
126. C17×#388C22semidirect
127. C17×#388C22semidirect
128. C17×#388C22semidirect
129. C17×#388C22semidirect
130. C17×#387C22semidirect
131. C17×#387C22semidirect
132. C17×#387C22semidirect
133. C17×#387C22semidirect
134. C17×#387C22semidirect
153. C17×#386C22semidirect
154. C17×#386C22semidirect
155. C17×#386C22semidirect
156. C17×#386C22semidirect
157. C17×#386C22semidirect
158. C17×#386C22semidirect
166. C17×#385C22semidirect
167. C17×#383C22semidirect
168. C17×#383C22semidirect
169. C17×#383C22semidirect
172. C17×#381C22semidirect
173. C17×#381C22semidirect
177. C17×#380C22semidirect
180. C4×C4⋊C4×C17C22semidirect
184. C4×C22⋊C4×C17C22semidirect
185. C4×C22⋊C4×C17C22semidirect
186. C4×C22⋊C4×C17C22semidirect
582. #36857C17direct (N × H)
742. #2849C2×C17semidirect
743. #2847C2×C17semidirect
744. #2788C2×C17semidirect
745. #2757C2×C17semidirect
746. #2756C2×C17semidirect
747. #2749C2×C17semidirect
748. #2737C2×C17semidirect
749. #2712C2×C17semidirect
750. #2701C2×C17semidirect
751. #2688C2×C17semidirect
752. #2688C2×C17semidirect
753. #2687C2×C17semidirect
754. #2684C2×C17semidirect
755. #2678C2×C17semidirect
756. #2676C2×C17semidirect
757. #2673C2×C17semidirect
758. #2670C2×C17semidirect
759. #2669C2×C17semidirect
760. #2631C2×C17semidirect
761. #2630C2×C17semidirect
762. #2577C2×C17semidirect
763. #2572C2×C17semidirect
764. #2557C2×C17semidirect
765. #2555C2×C17semidirect
766. #2464C2×C17semidirect
767. #2457C2×C17semidirect
768. #2445C2×C17semidirect
769. #2427C2×C17semidirect
770. #2337C2×C17semidirect
771. #2333C2×C17semidirect
772. C4×#120C2×C17semidirect
859. C2×#124C22×C17semidirect
863. C2×#123C22×C17semidirect
864. C2×C22⋊Q8C22×C17semidirect
871. C2×#121C22×C17semidirect
879. #400C22×C17semidirect
880. #400C22×C17semidirect
881. #400C22×C17semidirect
882. #398C22×C17semidirect
883. #398C22×C17semidirect
884. #398C22×C17semidirect
888. #397C22×C17semidirect
889. #397C22×C17semidirect
890. #397C22×C17semidirect
891. #397C22×C17semidirect
892. #397C22×C17semidirect
893. #397C22×C17semidirect
895. #396C22×C17semidirect
896. #396C22×C17semidirect
897. #395C22×C17semidirect
906. #394C22×C17semidirect
907. #394C22×C17semidirect
908. #394C22×C17semidirect
909. #394C22×C17semidirect
910. #394C22×C17semidirect
914. #393C22×C17semidirect
915. #393C22×C17semidirect
925. #392C22×C17semidirect
926. #392C22×C17semidirect
927. #391C22×C17semidirect
928. #391C22×C17semidirect
929. #391C22×C17semidirect
934. #390C22×C17semidirect
935. #390C22×C17semidirect
936. #389C22×C17semidirect
937. #389C22×C17semidirect
945. #388C22×C17semidirect
946. #388C22×C17semidirect
947. #388C22×C17semidirect
948. #388C22×C17semidirect
949. #388C22×C17semidirect
950. #388C22×C17semidirect
951. #388C22×C17semidirect
952. #387C22×C17semidirect
953. #387C22×C17semidirect
954. #387C22×C17semidirect
955. #387C22×C17semidirect
956. #387C22×C17semidirect
975. #386C22×C17semidirect
976. #386C22×C17semidirect
977. #386C22×C17semidirect
978. #386C22×C17semidirect
979. #386C22×C17semidirect
980. #386C22×C17semidirect
988. #385C22×C17semidirect
989. #383C22×C17semidirect
990. #383C22×C17semidirect
991. #383C22×C17semidirect
994. #381C22×C17semidirect
995. #381C22×C17semidirect
999. #380C22×C17semidirect
1002. C4×C4⋊C4C22×C17semidirect
1006. C4×C22⋊C4C22×C17semidirect
1007. C4×C22⋊C4C22×C17semidirect
1008. C4×C22⋊C4C22×C17semidirect
1205. C17#36857direct (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×#27882
C17×#27572
C17×#27562
C17×#27492
C17×#27372
C17×#27122
C17×#27012
C17×#26882
C17×#26872
C17×#26842
C17×#26782
C17×#26762
C17×#26732
C17×#26702
C17×#26692
C17×#26312
C17×#26302
C17×#25772
C17×#25722
C17×#25572
C17×#25552
C17×#24642
C17×#24572
C17×#24452
C17×#24272
C17×#23372
C17×#23332
C4×C17×#1202
#3685717