Finite Group Databasebeta

← C17×#36856 #16894600

Subgroups — C17×#36856 #16894600

Order 4352.

2112 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×#2797C211yesmaximal, characteristic, complemented
4C17×#2782C211yesmaximal, characteristic, complemented
5C17×#2780C211yesmaximal, characteristic, complemented
6C17×#2750C211yesmaximal, characteristic, complemented
7C17×#2744C211yesmaximal, characteristic, complemented
8C17×#2708C211yesmaximal, characteristic, complemented
9C17×#2697C211yesmaximal, characteristic, complemented
10C17×#2693C211yesmaximal, characteristic, complemented
11C17×#2693C211yesmaximal, characteristic, complemented
12C17×#2688C211yesmaximal, characteristic, complemented
13C17×#2688C211yesmaximal, characteristic, complemented
14C17×#2682C211yesmaximal, characteristic, complemented
15C17×#2678C211yesmaximal, characteristic, complemented
16C17×#2673C211yesmaximal, characteristic, complemented
17C17×#2669C211yesmaximal, characteristic, complemented
18C17×#2668C211yesmaximal, characteristic, complemented
19C17×#2649C211yesmaximal, characteristic, complemented
20C17×#2648C211yesmaximal, characteristic, complemented
21C17×#2530C211yesmaximal, characteristic, complemented
22C17×#2526C211yesmaximal, characteristic, complemented
23C17×#2464C211yesmaximal, characteristic, complemented
24C17×#2457C211yesmaximal, characteristic, complemented
25C17×#2456C211yesmaximal, characteristic, complemented
26C17×#2456C211yesmaximal, characteristic, complemented
27C17×#2444C211yesmaximal, characteristic, complemented
28C17×#2425C211yesmaximal, characteristic, complemented
29C17×#2328C211yesmaximal, characteristic, complemented
30C17×#2325C211yesmaximal, characteristic, complemented
31C4×C17×#120C211yesmaximal, characteristic, complemented
32C24×C4×C17C2211yescharacteristic
33C2×C17×#127C2211yescharacteristic
34C2×C17×#123C2211yescharacteristic
35C2×C17×#123C2211yescharacteristic
36C2×C17×#123C2211yescharacteristic
37C2×C17×#123C2211yescharacteristic
38C2×C17×#123C2211yescharacteristic, complemented
39C2×C17×#123C2211yescharacteristic, complemented
40C2×C17×#121C2211yescharacteristic
41C2×C17×#121C2211yescharacteristic
42C2×C17×#121C2211yescharacteristic
43C2×C17×#121C2211yescharacteristic
44C2×C17×#121C2211yescharacteristic
45C2×C17×#121C2211yescharacteristic
46C2×C17×#121C2211yescharacteristic
47C2×C17×#121C2211yescharacteristic
48C2×C17×#120C2211yescharacteristic
49C2×C17×#120C2211yescharacteristic
50C2×C17×#120C2211yescharacteristic
51C2×C17×#120C2211yescharacteristic
52C2×C4×D4×C17C2211yescharacteristic
53C2×C4×D4×C17C2211yescharacteristic
54C2×C4×D4×C17C2211yescharacteristic
55C2×C4×D4×C17C2211yescharacteristic, complemented
56C2×C4×D4×C17C2211yescharacteristic, complemented
57C17×#400C2211yescharacteristic, complemented
58C17×#400C2211yescharacteristic, complemented
59C17×#400C2211yescharacteristic, complemented
60C17×#400C2211yescharacteristic, complemented
61C17×#400C2211yescharacteristic, complemented
62C17×#400C2211yescharacteristic, complemented
63C17×#400C2211yescharacteristic, complemented
64C17×#400C2211yescharacteristic, complemented
65C17×#399C2211yescharacteristic
66C17×#398C2211yescharacteristic, complemented
67C17×#398C2211yescharacteristic, complemented
68C17×#397C2211yescharacteristic
69C17×#397C2211yescharacteristic
70C17×#397C2211yescharacteristic
71C17×#397C2211yescharacteristic
72C17×#397C2211yescharacteristic
73C17×#397C2211yescharacteristic, complemented
74C17×#397C2211yescharacteristic, complemented
75C17×#397C2211yescharacteristic, complemented
76C17×#397C2211yescharacteristic, complemented
77C17×#397C2211yescharacteristic, complemented
78C17×#396C2211yescharacteristic
79C17×#396C2211yescharacteristic
80C17×#396C2211yescharacteristic
81C17×#396C2211yescharacteristic, complemented
82C17×#396C2211yescharacteristic, complemented
83C17×#396C2211yescharacteristic, complemented
84C17×#396C2211yescharacteristic, complemented
85C17×#394C2211yescharacteristic
86C17×#394C2211yescharacteristic
87C17×#394C2211yescharacteristic
88C17×#394C2211yescharacteristic
89C17×#394C2211yescharacteristic
90C17×#394C2211yescharacteristic
91C17×#394C2211yescharacteristic
92C17×#394C2211yescharacteristic
93C17×#394C2211yescharacteristic, complemented
94C17×#394C2211yescharacteristic, complemented
95C17×#392C2211yescharacteristic
96C17×#392C2211yescharacteristic
97C17×#392C2211yescharacteristic
98C17×#392C2211yescharacteristic
99C17×#392C2211yescharacteristic
100C17×#392C2211yescharacteristic
101C17×#392C2211yescharacteristic
102C17×#392C2211yescharacteristic, complemented
103C17×#392C2211yescharacteristic, complemented
104C17×#392C2211yescharacteristic, complemented
105C17×#390C2211yescharacteristic
106C17×#390C2211yescharacteristic
107C17×#390C2211yescharacteristic
108C17×#390C2211yescharacteristic, complemented
109C17×#390C2211yescharacteristic, complemented
110C17×#389C2211yescharacteristic, complemented
111C17×#389C2211yescharacteristic, complemented
112C17×#388C2211yescharacteristic
113C17×#388C2211yescharacteristic
114C17×#388C2211yescharacteristic
115C17×#388C2211yescharacteristic
116C17×#388C2211yescharacteristic
117C17×#388C2211yescharacteristic, complemented
118C17×#388C2211yescharacteristic, complemented
119C17×#388C2211yescharacteristic, complemented
120C17×#388C2211yescharacteristic, complemented
121C17×#388C2211yescharacteristic, complemented
122C17×#388C2211yescharacteristic, complemented
123C17×#388C2211yescharacteristic, complemented
124C17×#387C2211yescharacteristic, complemented
125C17×#387C2211yescharacteristic, complemented
126C17×#387C2211yescharacteristic, complemented
127C17×#387C2211yescharacteristic, complemented
128C17×#387C2211yescharacteristic, complemented
129C17×#387C2211yescharacteristic, complemented
130C17×#387C2211yescharacteristic, complemented
131C17×#386C2211yescharacteristic
132C17×#386C2211yescharacteristic
133C17×#386C2211yescharacteristic
134C17×#386C2211yescharacteristic
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, complemented
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×#385C2211yescharacteristic, complemented
168C17×#385C2211yescharacteristic, complemented
169C17×#385C2211yescharacteristic, complemented
170C17×#385C2211yescharacteristic, complemented
171C17×#382C2211yescharacteristic, complemented
172C17×#381C2211yescharacteristic
173C17×#381C2211yescharacteristic
174C17×#381C2211yescharacteristic, complemented
175C17×#380C2211yescharacteristic
176C17×#380C2211yescharacteristic
177C17×#380C2211yescharacteristic
178C17×#380C2211yescharacteristic, complemented
179C17×#380C2211yescharacteristic, complemented
180C17×#379C2211yescharacteristic
181C17×#379C2211yescharacteristic
182C4×C22⋊C4×C17C2211yescharacteristic
183C4×C22⋊C4×C17C2211yescharacteristic
184C4×C22⋊C4×C17C2211yescharacteristic
185C17×#376C2211yescharacteristic, complemented
186C2×C17×#95C2211yescharacteristic, complemented
187C25×C17C2311yescharacteristic
188C22×D4×C17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C22×D4×C17C2311yescharacteristic
201C22×D4×C17C2311yescharacteristic
202C22×D4×C17C2311yescharacteristic
203C22×D4×C17C2311yescharacteristic
204C22×D4×C17C2311yescharacteristic
205C22×D4×C17C2311yescharacteristic
206C23×C4×C17—42no—
207C23×C4×C17—42no—
208C23×C4×C17—42no—
209C23×C4×C17C2311yescharacteristic
210C23×C4×C17C2311yescharacteristic
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—24no—
222C17×#123—42no—
223C17×#123—42no—
224C17×#123—42no—
225C17×#123—42no—
226C17×#123—42no—
227C17×#123—42no—
228C17×#121—24no—
229C17×#121—42no—
230C17×#121—42no—
231C17×#121—42no—
232C17×#121—42no—
233C17×#121—42no—
234C17×#121—42no—
235C17×#121—42no—
236C17×#120—24no—
237C17×#120—42no—
238C17×#120—42no—
239C17×#120—42no—
240C4×D4×C17—42no—
241C4×D4×C17—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×C4⋊C4×C17C2311yescharacteristic
266C2×C4⋊C4×C17C2311yescharacteristic
267C2×C4⋊C4×C17C2311yescharacteristic
268C2×C4⋊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×C22⋊C4×C17C2311yescharacteristic
322C2×C22⋊C4×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×D4×C17—22no—
384C2×D4×C17—22no—
385C2×D4×C17—22no—
386C2×D4×C17—22no—
387C2×D4×C17—22no—
388C2×D4×C17—22no—
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—41no—
402C2×D4×C17—41no—
403C2×D4×C17—41no—
404C2×D4×C17—41no—
405C2×D4×C17—41no—
406C2×D4×C17—41no—
407C2×D4×C17—41no—
408C2×D4×C17—41no—
409C2×D4×C17—41no—
410C2×D4×C17—41no—
411C2×D4×C17—41no—
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#4114yes—
437C22×C4×C17—22no—
438C22×C4×C17—22no—
439C22×C4×C17—22no—
440C22×C4×C17—22no—
441C22×C4×C17—22no—
442C22×C4×C17—22no—
443C22×C4×C17—22no—
444C22×C4×C17—22no—
445C22×C4×C17—22no—
446C22×C4×C17—22no—
447C22×C4×C17—41no—
448C22×C4×C17—41no—
449C22×C4×C17—41no—
450C22×C4×C17—41no—
451C22×C4×C17—41no—
452C22×C4×C17—41no—
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—
518C4⋊C4×C17—41no—
519C4⋊C4×C17—41no—
520C4⋊C4×C17—41no—
521C4⋊C4×C17—41no—
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—22no—
536C22⋊C4×C17—22no—
537C22⋊C4×C17—22no—
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—41no—
574C22⋊C4×C17—41no—
575C22⋊C4×C17—41no—
576C42×C17—22no—
577C42×C17—22no—
578C42×C17—41no—
579C42×C17—41no—
580C42×C17—41no—
581C42×C17—41no—
582#36856C1711yesmaximal, 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—44no—
629C23×C17—44no—
630C23×C17—44no—
631C23×C17—44no—
632C23×C17—44no—
633C23×C17—44no—
634C23×C17—44no—
635C23×C17C2×#4112yes—
636C23×C17C2×#4112yes—
637C23×C17H(5,𝔽2)12yes—
638C23×C17H(5,𝔽2)12yes—
639C23×C17C2511yescharacteristic
640D4×C17—44no—
641D4×C17—44no—
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—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—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—44no—
728C2×C4×C17—44no—
729C2×C4×C17—44no—
730C2×C4×C17—44no—
731C2×C4×C17—44no—
732C2×C4×C17—44no—
733C2×C4×C17—82no—
734C2×C4×C17—82no—
735C2×C4×C17—82no—
736C2×C4×C17—82no—
737C2×C4×C17—82no—
738C2×C4×C17—82no—
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#2797C2×C1711yescharacteristic, complemented
745#2782C2×C1711yescharacteristic, complemented
746#2780C2×C1711yescharacteristic, complemented
747#2750C2×C1711yescharacteristic, complemented
748#2744C2×C1711yescharacteristic, complemented
749#2708C2×C1711yescharacteristic, complemented
750#2697C2×C1711yescharacteristic, complemented
751#2693C2×C1711yescharacteristic, complemented
752#2693C2×C1711yescharacteristic, complemented
753#2688C2×C1711yescharacteristic, complemented
754#2688C2×C1711yescharacteristic, complemented
755#2682C2×C1711yescharacteristic, complemented
756#2678C2×C1711yescharacteristic, complemented
757#2673C2×C1711yescharacteristic, complemented
758#2669C2×C1711yescharacteristic, complemented
759#2668C2×C1711yescharacteristic, complemented
760#2649C2×C1711yescharacteristic, complemented
761#2648C2×C1711yescharacteristic, complemented
762#2530C2×C1711yescharacteristic, complemented
763#2526C2×C1711yescharacteristic, complemented
764#2464C2×C1711yescharacteristic, complemented
765#2457C2×C1711yescharacteristic, complemented
766#2456C2×C1711yescharacteristic, complemented
767#2456C2×C1711yescharacteristic, complemented
768#2444C2×C1711yescharacteristic, complemented
769#2425C2×C1711yescharacteristic, complemented
770#2328C2×C1711yescharacteristic, complemented
771#2325C2×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—22no—
783C22×C17—22no—
784C22×C17—22no—
785C22×C17—416no—
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—41no—
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×#123C22×C1711yescharacteristic
857C2×#123C22×C1711yescharacteristic
858C2×#123C22×C1711yescharacteristic
859C2×#123C22×C1711yescharacteristic
860C2×#123C22×C1711yescharacteristic, complemented
861C2×#123C22×C1711yescharacteristic, complemented
862C2×#121C22×C1711yescharacteristic
863C2×#121C22×C1711yescharacteristic
864C2×#121C22×C1711yescharacteristic
865C2×#121C22×C1711yescharacteristic
866C2×#121C22×C1711yescharacteristic
867C2×#121C22×C1711yescharacteristic
868C2×#121C22×C1711yescharacteristic
869C2×#121C22×C1711yescharacteristic
870C2×#120C22×C1711yescharacteristic
871C2×#120C22×C1711yescharacteristic
872C2×#120C22×C1711yescharacteristic
873C2×#120C22×C1711yescharacteristic
874C2×C4×D4C22×C1711yescharacteristic
875C2×C4×D4C22×C1711yescharacteristic
876C2×C4×D4C22×C1711yescharacteristic
877C2×C4×D4C22×C1711yescharacteristic, complemented
878C2×C4×D4C22×C1711yescharacteristic, complemented
879#400C22×C1711yescharacteristic, complemented
880#400C22×C1711yescharacteristic, complemented
881#400C22×C1711yescharacteristic, complemented
882#400C22×C1711yescharacteristic, complemented
883#400C22×C1711yescharacteristic, complemented
884#400C22×C1711yescharacteristic, complemented
885#400C22×C1711yescharacteristic, complemented
886#400C22×C1711yescharacteristic, complemented
887#399C22×C1711yescharacteristic
888#398C22×C1711yescharacteristic, complemented
889#398C22×C1711yescharacteristic, complemented
890#397C22×C1711yescharacteristic
891#397C22×C1711yescharacteristic
892#397C22×C1711yescharacteristic
893#397C22×C1711yescharacteristic
894#397C22×C1711yescharacteristic
895#397C22×C1711yescharacteristic, complemented
896#397C22×C1711yescharacteristic, complemented
897#397C22×C1711yescharacteristic, complemented
898#397C22×C1711yescharacteristic, complemented
899#397C22×C1711yescharacteristic, complemented
900#396C22×C1711yescharacteristic
901#396C22×C1711yescharacteristic
902#396C22×C1711yescharacteristic
903#396C22×C1711yescharacteristic, complemented
904#396C22×C1711yescharacteristic, complemented
905#396C22×C1711yescharacteristic, complemented
906#396C22×C1711yescharacteristic, complemented
907#394C22×C1711yescharacteristic
908#394C22×C1711yescharacteristic
909#394C22×C1711yescharacteristic
910#394C22×C1711yescharacteristic
911#394C22×C1711yescharacteristic
912#394C22×C1711yescharacteristic
913#394C22×C1711yescharacteristic
914#394C22×C1711yescharacteristic
915#394C22×C1711yescharacteristic, complemented
916#394C22×C1711yescharacteristic, complemented
917#392C22×C1711yescharacteristic
918#392C22×C1711yescharacteristic
919#392C22×C1711yescharacteristic
920#392C22×C1711yescharacteristic
921#392C22×C1711yescharacteristic
922#392C22×C1711yescharacteristic
923#392C22×C1711yescharacteristic
924#392C22×C1711yescharacteristic, complemented
925#392C22×C1711yescharacteristic, complemented
926#392C22×C1711yescharacteristic, complemented
927#390C22×C1711yescharacteristic
928#390C22×C1711yescharacteristic
929#390C22×C1711yescharacteristic
930#390C22×C1711yescharacteristic, complemented
931#390C22×C1711yescharacteristic, complemented
932#389C22×C1711yescharacteristic, complemented
933#389C22×C1711yescharacteristic, complemented
934#388C22×C1711yescharacteristic
935#388C22×C1711yescharacteristic
936#388C22×C1711yescharacteristic
937#388C22×C1711yescharacteristic
938#388C22×C1711yescharacteristic
939#388C22×C1711yescharacteristic, complemented
940#388C22×C1711yescharacteristic, complemented
941#388C22×C1711yescharacteristic, complemented
942#388C22×C1711yescharacteristic, complemented
943#388C22×C1711yescharacteristic, complemented
944#388C22×C1711yescharacteristic, complemented
945#388C22×C1711yescharacteristic, complemented
946#387C22×C1711yescharacteristic, complemented
947#387C22×C1711yescharacteristic, complemented
948#387C22×C1711yescharacteristic, complemented
949#387C22×C1711yescharacteristic, complemented
950#387C22×C1711yescharacteristic, complemented
951#387C22×C1711yescharacteristic, complemented
952#387C22×C1711yescharacteristic, complemented
953#386C22×C1711yescharacteristic
954#386C22×C1711yescharacteristic
955#386C22×C1711yescharacteristic
956#386C22×C1711yescharacteristic
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, complemented
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#385C22×C1711yescharacteristic, complemented
990#385C22×C1711yescharacteristic, complemented
991#385C22×C1711yescharacteristic, complemented
992#385C22×C1711yescharacteristic, complemented
993#382C22×C1711yescharacteristic, complemented
994#381C22×C1711yescharacteristic
995#381C22×C1711yescharacteristic
996#381C22×C1711yescharacteristic, complemented
997#380C22×C1711yescharacteristic
998#380C22×C1711yescharacteristic
999#380C22×C1711yescharacteristic
1000#380C22×C1711yescharacteristic, complemented
1001#380C22×C1711yescharacteristic, complemented
1002#379C22×C1711yescharacteristic
1003#379C22×C1711yescharacteristic
1004C4×C22⋊C4C22×C1711yescharacteristic
1005C4×C22⋊C4C22×C1711yescharacteristic
1006C4×C22⋊C4C22×C1711yescharacteristic
1007#376C22×C1711yescharacteristic, complemented
1008C2×#95C22×C1711yescharacteristic, complemented
1009C2×C17—42no—
1010C2×C17—42no—
1011C2×C17—42no—
1012C2×C17—42no—
1013C2×C17—81no—
1014C2×C17—81no—
1015C2×C17—81no—
1016C2×C17#345911yescharacteristic
1017C2×C17#351311yescharacteristic
1018C2×C17#351911yescharacteristic
1019C2×C17#353211yescharacteristic
1020C2×C17#353411yescharacteristic
1021C2×C17#353911yescharacteristic
1022C2×C17#354211yescharacteristic
1023C25C23×C1711yescharacteristic
1024C22×D4C23×C1711yescharacteristic
1025C22×D4C23×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
1042C23×C4—42no—
1043C23×C4—42no—
1044C23×C4—42no—
1045C23×C4C23×C1711yescharacteristic
1046C23×C4C23×C1711yescharacteristic
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—24no—
1058#123—42no—
1059#123—42no—
1060#123—42no—
1061#123—42no—
1062#123—42no—
1063#123—42no—
1064#121—24no—
1065#121—42no—
1066#121—42no—
1067#121—42no—
1068#121—42no—
1069#121—42no—
1070#121—42no—
1071#121—42no—
1072#120—24no—
1073#120—42no—
1074#120—42no—
1075#120—42no—
1076C4×D4—42no—
1077C4×D4—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×C4⋊C4C23×C1711yescharacteristic
1102C2×C4⋊C4C23×C1711yescharacteristic
1103C2×C4⋊C4C23×C1711yescharacteristic
1104C2×C4⋊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×C22⋊C4C23×C1711yescharacteristic
1158C2×C22⋊C4C23×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#3685611yescharacteristic, 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×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
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—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
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#41×C1714yes—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
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—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
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—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
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—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C42—22no—
1414C42—22no—
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—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23C2×#41×C1712yes—
1472C23C2×#41×C1712yes—
1473C23C17×H(5,𝔽2)12yes—
1474C23C17×H(5,𝔽2)12yes—
1475C23C25×C1711yescharacteristic
1476D4—44no—
1477D4—44no—
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—
1494C2×C4—21no—
1495C2×C4—21no—
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—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4—82no—
1573C2×C4—82no—
1574C2×C4—82no—
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—22no—
1588C22—22no—
1589C22—22no—
1590C22—416no—
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—41no—
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—42no—
1663C2—81no—
1664C2—81no—
1665C2—81no—
1666C2C17×#345911yescharacteristic
1667C2C17×#351311yescharacteristic
1668C2C17×#351911yescharacteristic
1669C2C17×#353211yescharacteristic
1670C2C17×#353411yescharacteristic
1671C2C17×#353911yescharacteristic
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×#2797C2semidirect
4. C17×#2782C2semidirect
5. C17×#2780C2semidirect
6. C17×#2750C2semidirect
7. C17×#2744C2semidirect
8. C17×#2708C2semidirect
9. C17×#2697C2semidirect
10. C17×#2693C2semidirect
11. C17×#2693C2semidirect
12. C17×#2688C2semidirect
13. C17×#2688C2semidirect
14. C17×#2682C2semidirect
15. C17×#2678C2semidirect
16. C17×#2673C2semidirect
17. C17×#2669C2semidirect
18. C17×#2668C2semidirect
19. C17×#2649C2semidirect
20. C17×#2648C2semidirect
21. C17×#2530C2semidirect
22. C17×#2526C2semidirect
23. C17×#2464C2semidirect
24. C17×#2457C2semidirect
25. C17×#2456C2semidirect
26. C17×#2456C2semidirect
27. C17×#2444C2semidirect
28. C17×#2425C2semidirect
29. C17×#2328C2semidirect
30. C17×#2325C2semidirect
31. C4×C17×#120C2semidirect
38. C2×C17×#123C22semidirect
39. C2×C17×#123C22semidirect
55. C2×C4×D4×C17C22semidirect
56. C2×C4×D4×C17C22semidirect
57. C17×#400C22semidirect
58. C17×#400C22semidirect
59. C17×#400C22semidirect
60. C17×#400C22semidirect
61. C17×#400C22semidirect
62. C17×#400C22semidirect
63. C17×#400C22semidirect
64. C17×#400C22semidirect
66. C17×#398C22semidirect
67. C17×#398C22semidirect
73. C17×#397C22semidirect
74. C17×#397C22semidirect
75. C17×#397C22semidirect
76. C17×#397C22semidirect
77. C17×#397C22semidirect
81. C17×#396C22semidirect
82. C17×#396C22semidirect
83. C17×#396C22semidirect
84. C17×#396C22semidirect
93. C17×#394C22semidirect
94. C17×#394C22semidirect
102. C17×#392C22semidirect
103. C17×#392C22semidirect
104. C17×#392C22semidirect
108. C17×#390C22semidirect
109. C17×#390C22semidirect
110. C17×#389C22semidirect
111. C17×#389C22semidirect
117. C17×#388C22semidirect
118. C17×#388C22semidirect
119. C17×#388C22semidirect
120. C17×#388C22semidirect
121. C17×#388C22semidirect
122. C17×#388C22semidirect
123. C17×#388C22semidirect
124. C17×#387C22semidirect
125. C17×#387C22semidirect
126. C17×#387C22semidirect
127. C17×#387C22semidirect
128. C17×#387C22semidirect
129. C17×#387C22semidirect
130. C17×#387C22semidirect
152. C17×#386C22semidirect
153. C17×#386C22semidirect
154. C17×#386C22semidirect
155. C17×#386C22semidirect
156. C17×#386C22semidirect
157. C17×#386C22semidirect
158. C17×#386C22semidirect
166. C17×#385C22semidirect
167. C17×#385C22semidirect
168. C17×#385C22semidirect
169. C17×#385C22semidirect
170. C17×#385C22semidirect
171. C17×#382C22semidirect
174. C17×#381C22semidirect
178. C17×#380C22semidirect
179. C17×#380C22semidirect
185. C17×#376C22semidirect
186. C2×C17×#95C22semidirect
582. #36856C17direct (N × H)
742. #2849C2×C17semidirect
743. #2847C2×C17semidirect
744. #2797C2×C17semidirect
745. #2782C2×C17semidirect
746. #2780C2×C17semidirect
747. #2750C2×C17semidirect
748. #2744C2×C17semidirect
749. #2708C2×C17semidirect
750. #2697C2×C17semidirect
751. #2693C2×C17semidirect
752. #2693C2×C17semidirect
753. #2688C2×C17semidirect
754. #2688C2×C17semidirect
755. #2682C2×C17semidirect
756. #2678C2×C17semidirect
757. #2673C2×C17semidirect
758. #2669C2×C17semidirect
759. #2668C2×C17semidirect
760. #2649C2×C17semidirect
761. #2648C2×C17semidirect
762. #2530C2×C17semidirect
763. #2526C2×C17semidirect
764. #2464C2×C17semidirect
765. #2457C2×C17semidirect
766. #2456C2×C17semidirect
767. #2456C2×C17semidirect
768. #2444C2×C17semidirect
769. #2425C2×C17semidirect
770. #2328C2×C17semidirect
771. #2325C2×C17semidirect
772. C4×#120C2×C17semidirect
860. C2×#123C22×C17semidirect
861. C2×#123C22×C17semidirect
877. C2×C4×D4C22×C17semidirect
878. C2×C4×D4C22×C17semidirect
879. #400C22×C17semidirect
880. #400C22×C17semidirect
881. #400C22×C17semidirect
882. #400C22×C17semidirect
883. #400C22×C17semidirect
884. #400C22×C17semidirect
885. #400C22×C17semidirect
886. #400C22×C17semidirect
888. #398C22×C17semidirect
889. #398C22×C17semidirect
895. #397C22×C17semidirect
896. #397C22×C17semidirect
897. #397C22×C17semidirect
898. #397C22×C17semidirect
899. #397C22×C17semidirect
903. #396C22×C17semidirect
904. #396C22×C17semidirect
905. #396C22×C17semidirect
906. #396C22×C17semidirect
915. #394C22×C17semidirect
916. #394C22×C17semidirect
924. #392C22×C17semidirect
925. #392C22×C17semidirect
926. #392C22×C17semidirect
930. #390C22×C17semidirect
931. #390C22×C17semidirect
932. #389C22×C17semidirect
933. #389C22×C17semidirect
939. #388C22×C17semidirect
940. #388C22×C17semidirect
941. #388C22×C17semidirect
942. #388C22×C17semidirect
943. #388C22×C17semidirect
944. #388C22×C17semidirect
945. #388C22×C17semidirect
946. #387C22×C17semidirect
947. #387C22×C17semidirect
948. #387C22×C17semidirect
949. #387C22×C17semidirect
950. #387C22×C17semidirect
951. #387C22×C17semidirect
952. #387C22×C17semidirect
974. #386C22×C17semidirect
975. #386C22×C17semidirect
976. #386C22×C17semidirect
977. #386C22×C17semidirect
978. #386C22×C17semidirect
979. #386C22×C17semidirect
980. #386C22×C17semidirect
988. #385C22×C17semidirect
989. #385C22×C17semidirect
990. #385C22×C17semidirect
991. #385C22×C17semidirect
992. #385C22×C17semidirect
993. #382C22×C17semidirect
996. #381C22×C17semidirect
1000. #380C22×C17semidirect
1001. #380C22×C17semidirect
1007. #376C22×C17semidirect
1008. C2×#95C22×C17semidirect
1205. C17#36856direct (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×#27972
C17×#27822
C17×#27802
C17×#27502
C17×#27442
C17×#27082
C17×#26972
C17×#26932
C17×#26882
C17×#26822
C17×#26782
C17×#26732
C17×#26692
C17×#26682
C17×#26492
C17×#26482
C17×#25302
C17×#25262
C17×#24642
C17×#24572
C17×#24562
C17×#24442
C17×#24252
C17×#23282
C17×#23252
C4×C17×#1202
#3685617