Finite Group Databasebeta

← C17×#36887 #16894631

Subgroups — C17×#36887 #16894631

Order 4352.

2090 conjugacy classes of subgroups.

The subgroup lattice has 1670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#2849C211yesmaximal, characteristic, complemented
2C17×#2847C211yesmaximal, characteristic, complemented
3C17×#2778C211yesmaximal, characteristic, complemented
4C17×#2768C211yesmaximal, characteristic, complemented
5C17×#2753C211yesmaximal, characteristic, complemented
6C17×#2746C211yesmaximal, characteristic, complemented
7C17×#2739C211yesmaximal, characteristic, complemented
8C17×#2714C211yesmaximal, characteristic, complemented
9C17×#2709C211yesmaximal, characteristic, complemented
10C17×#2705C211yesmaximal, characteristic, complemented
11C17×#2699C211yesmaximal, characteristic, complemented
12C17×#2691C211yesmaximal, characteristic, complemented
13C17×#2685C211yesmaximal, characteristic, complemented
14C17×#2678C211yesmaximal, characteristic, complemented
15C17×#2678C211yesmaximal, characteristic, complemented
16C17×#2671C211yesmaximal, characteristic, complemented
17C17×#2671C211yesmaximal, characteristic, complemented
18C17×#2669C211yesmaximal, characteristic, complemented
19C17×#2636C211yesmaximal, characteristic, complemented
20C17×#2635C211yesmaximal, characteristic, complemented
21C17×#2576C211yesmaximal, characteristic, complemented
22C17×#2559C211yesmaximal, characteristic, complemented
23C17×#2554C211yesmaximal, characteristic, complemented
24C17×#2553C211yesmaximal, characteristic, complemented
25C17×#2468C211yesmaximal, characteristic, complemented
26C17×#2464C211yesmaximal, characteristic, complemented
27C17×#2428C211yesmaximal, characteristic, complemented
28C17×#2420C211yesmaximal, characteristic, complemented
29C17×#2335C211yesmaximal, characteristic, complemented
30C17×#2333C211yesmaximal, characteristic, complemented
31C4×C17×#120C211yesmaximal, characteristic, complemented
32C24×C4×C17C2211yescharacteristic
33C2×C17×#127C2211yescharacteristic
34C2×C17×#126C2211yescharacteristic
35C2×C17×#126C2211yescharacteristic, complemented
36C2×C17×#126C2211yescharacteristic, complemented
37C2×C17×#123C2211yescharacteristic
38C2×C17×#123C2211yescharacteristic
39C2×C17×#123C2211yescharacteristic
40C2×C17×#123C2211yescharacteristic
41C2×C17×#121C2211yescharacteristic
42C2×C17×#121C2211yescharacteristic
43C2×C17×#121C2211yescharacteristic
44C2×C17×#121C2211yescharacteristic
45C2×C17×#121C2211yescharacteristic
46C2×C17×#121C2211yescharacteristic
47C2×C17×#121C2211yescharacteristic
48C2×C17×#121C2211yescharacteristic, complemented
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×#401C2211yescharacteristic, complemented
58C17×#400C2211yescharacteristic, complemented
59C17×#400C2211yescharacteristic, complemented
60C17×#400C2211yescharacteristic, complemented
61C17×#399C2211yescharacteristic
62C17×#399C2211yescharacteristic, complemented
63C17×#399C2211yescharacteristic, complemented
64C17×#398C2211yescharacteristic, complemented
65C17×#398C2211yescharacteristic, complemented
66C17×#398C2211yescharacteristic, complemented
67C17×#398C2211yescharacteristic, complemented
68C17×#398C2211yescharacteristic, complemented
69C17×#397C2211yescharacteristic
70C17×#397C2211yescharacteristic
71C17×#397C2211yescharacteristic, complemented
72C17×#397C2211yescharacteristic, complemented
73C17×#396C2211yescharacteristic
74C17×#396C2211yescharacteristic
75C17×#396C2211yescharacteristic
76C17×#396C2211yescharacteristic, complemented
77C17×#394C2211yescharacteristic
78C17×#394C2211yescharacteristic
79C17×#394C2211yescharacteristic
80C17×#394C2211yescharacteristic
81C17×#394C2211yescharacteristic
82C17×#394C2211yescharacteristic
83C17×#394C2211yescharacteristic
84C17×#394C2211yescharacteristic
85C17×#394C2211yescharacteristic
86C17×#394C2211yescharacteristic
87C17×#394C2211yescharacteristic, complemented
88C17×#394C2211yescharacteristic, complemented
89C17×#394C2211yescharacteristic, complemented
90C17×#394C2211yescharacteristic, complemented
91C17×#394C2211yescharacteristic, complemented
92C17×#394C2211yescharacteristic, complemented
93C17×#394C2211yescharacteristic, complemented
94C17×#394C2211yescharacteristic, complemented
95C17×#394C2211yescharacteristic, complemented
96C17×#392C2211yescharacteristic
97C17×#392C2211yescharacteristic
98C17×#392C2211yescharacteristic
99C17×#392C2211yescharacteristic
100C17×#392C2211yescharacteristic
101C17×#392C2211yescharacteristic
102C17×#392C2211yescharacteristic
103C17×#392C2211yescharacteristic
104C17×#392C2211yescharacteristic, complemented
105C17×#390C2211yescharacteristic
106C17×#390C2211yescharacteristic
107C17×#390C2211yescharacteristic
108C17×#390C2211yescharacteristic
109C17×#390C2211yescharacteristic
110C17×#390C2211yescharacteristic
111C17×#390C2211yescharacteristic, complemented
112C17×#390C2211yescharacteristic, complemented
113C17×#389C2211yescharacteristic, 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×#388C2211yescharacteristic, complemented
131C17×#387C2211yescharacteristic, complemented
132C17×#387C2211yescharacteristic, complemented
133C17×#387C2211yescharacteristic, complemented
134C17×#387C2211yescharacteristic, complemented
135C17×#387C2211yescharacteristic, complemented
136C17×#387C2211yescharacteristic, complemented
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×#385C2211yescharacteristic
158C17×#385C2211yescharacteristic
159C17×#385C2211yescharacteristic
160C17×#385C2211yescharacteristic
161C17×#385C2211yescharacteristic
162C17×#385C2211yescharacteristic
163C17×#385C2211yescharacteristic
164C17×#385C2211yescharacteristic, complemented
165C17×#385C2211yescharacteristic, complemented
166C17×#385C2211yescharacteristic, complemented
167C17×#382C2211yescharacteristic, complemented
168C17×#382C2211yescharacteristic, complemented
169C17×#381C2211yescharacteristic
170C17×#381C2211yescharacteristic
171C17×#381C2211yescharacteristic, complemented
172C17×#381C2211yescharacteristic, complemented
173C17×#380C2211yescharacteristic
174C17×#380C2211yescharacteristic
175C17×#380C2211yescharacteristic
176C17×#380C2211yescharacteristic, complemented
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×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
219C17×#127—42no—
220C17×#126—42no—
221C17×#126—42no—
222C17×#126—42no—
223C17×#123—24no—
224C17×#123—42no—
225C17×#123—42no—
226C17×#123—42no—
227C17×#121—24no—
228C17×#121—42no—
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—
243C2×C4⋊C4×C17C2311yescharacteristic
244C2×C4⋊C4×C17C2311yescharacteristic
245C2×C4⋊C4×C17C2311yescharacteristic
246C2×C4⋊C4×C17C2311yescharacteristic
247C2×C4⋊C4×C17C2311yescharacteristic
248C2×C4⋊C4×C17C2311yescharacteristic
249C2×C4⋊C4×C17C2311yescharacteristic
250C2×C4⋊C4×C17C2311yescharacteristic
251C2×C4⋊C4×C17C2311yescharacteristic
252C2×C4⋊C4×C17C2311yescharacteristic
253C2×C4⋊C4×C17C2311yescharacteristic
254C2×C4⋊C4×C17C2311yescharacteristic
255C2×C4⋊C4×C17C2311yescharacteristic
256C2×C4⋊C4×C17C2311yescharacteristic
257C2×C4⋊C4×C17C2311yescharacteristic
258C2×C4⋊C4×C17C2311yescharacteristic
259C2×C4⋊C4×C17C2311yescharacteristic
260C2×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×C22⋊C4×C17C2311yescharacteristic
324C2×C22⋊C4×C17C2311yescharacteristic
325C2×C42×C17C2311yescharacteristic
326C2×C42×C17C2311yescharacteristic
327C2×C42×C17C2311yescharacteristic
328C2×C42×C17C2311yescharacteristic
329C2×C42×C17C2311yescharacteristic
330C2×C42×C17C2311yescharacteristic
331C2×C42×C17C2311yescharacteristic
332C2×C42×C17C2311yescharacteristic
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—41no—
400C2×D4×C17—41no—
401C2×D4×C17—41no—
402C2×D4×C17—41no—
403C2×D4×C17—41no—
404C2×D4×C17—41no—
405C2×D4×C17—41no—
406C2×D4×C17—41no—
407C2×D4×C17—41no—
408C2×D4×C17—41no—
409C2×D4×C17—41no—
410C2×D4×C17—41no—
411C2×D4×C17—41no—
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—
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—22no—
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—416no—
468C22×C4×C17C2411yescharacteristic
469C22×C4×C17C2411yescharacteristic
470C22×C4×C17C2411yescharacteristic
471C22×C4×C17C2411yescharacteristic
472C22×C4×C17C2411yescharacteristic
473C22×C4×C17C2411yescharacteristic
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
492C4⋊C4×C17—22no—
493C4⋊C4×C17—22no—
494C4⋊C4×C17—22no—
495C4⋊C4×C17—22no—
496C4⋊C4×C17—22no—
497C4⋊C4×C17—22no—
498C4⋊C4×C17—22no—
499C4⋊C4×C17—41no—
500C4⋊C4×C17—41no—
501C4⋊C4×C17—41no—
502C4⋊C4×C17—41no—
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—41no—
535C22⋊C4×C17—41no—
536C22⋊C4×C17—41no—
537C22⋊C4×C17—41no—
538C22⋊C4×C17—41no—
539C22⋊C4×C17—41no—
540C22⋊C4×C17—41no—
541C22⋊C4×C17—41no—
542C22⋊C4×C17—41no—
543C22⋊C4×C17—41no—
544C22⋊C4×C17—41no—
545C22⋊C4×C17—41no—
546C22⋊C4×C17—41no—
547C22⋊C4×C17—41no—
548C22⋊C4×C17—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—41no—
576C42×C17—41no—
577C42×C17—41no—
578C42×C17—41no—
579C42×C17—41no—
580C42×C17—41no—
581C42×C17—41no—
582#36887C1711yesmaximal, 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
640D4×C17—44no—
641D4×C17—44no—
642D4×C17—44no—
643D4×C17—82no—
644D4×C17—82no—
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—44no—
727C2×C4×C17—44no—
728C2×C4×C17—44no—
729C2×C4×C17—44no—
730C2×C4×C17—44no—
731C2×C4×C17—44no—
732C2×C4×C17—82no—
733C2×C4×C17—82no—
734C2×C4×C17—82no—
735C2×C4×C17—82no—
736C2×C4×C17C2×#4112yes—
737C2×C4×C17C2×#4112yes—
738C2×C4×C17H(5,𝔽2)12yes—
739C2×C4×C17H(5,𝔽2)12yes—
740#2849C2×C1711yescharacteristic, complemented
741#2847C2×C1711yescharacteristic, complemented
742#2778C2×C1711yescharacteristic, complemented
743#2768C2×C1711yescharacteristic, complemented
744#2753C2×C1711yescharacteristic, complemented
745#2746C2×C1711yescharacteristic, complemented
746#2739C2×C1711yescharacteristic, complemented
747#2714C2×C1711yescharacteristic, complemented
748#2709C2×C1711yescharacteristic, complemented
749#2705C2×C1711yescharacteristic, complemented
750#2699C2×C1711yescharacteristic, complemented
751#2691C2×C1711yescharacteristic, complemented
752#2685C2×C1711yescharacteristic, complemented
753#2678C2×C1711yescharacteristic, complemented
754#2678C2×C1711yescharacteristic, complemented
755#2671C2×C1711yescharacteristic, complemented
756#2671C2×C1711yescharacteristic, complemented
757#2669C2×C1711yescharacteristic, complemented
758#2636C2×C1711yescharacteristic, complemented
759#2635C2×C1711yescharacteristic, complemented
760#2576C2×C1711yescharacteristic, complemented
761#2559C2×C1711yescharacteristic, complemented
762#2554C2×C1711yescharacteristic, complemented
763#2553C2×C1711yescharacteristic, complemented
764#2468C2×C1711yescharacteristic, complemented
765#2464C2×C1711yescharacteristic, complemented
766#2428C2×C1711yescharacteristic, complemented
767#2420C2×C1711yescharacteristic, complemented
768#2335C2×C1711yescharacteristic, complemented
769#2333C2×C1711yescharacteristic, complemented
770C4×#120C2×C1711yescharacteristic, complemented
771C22×C17—22no—
772C22×C17—22no—
773C22×C17—22no—
774C22×C17—22no—
775C22×C17—22no—
776C22×C17—22no—
777C22×C17—22no—
778C22×C17—22no—
779C22×C17—22no—
780C22×C17—416no—
781C22×C17—41no—
782C22×C17—41no—
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×C17C22×#4111yescharacteristic
822C22×C17C2×H(5,𝔽2)11yescharacteristic
823C22×C17C2×H(5,𝔽2)11yescharacteristic
824C22×C17C2×H(5,𝔽2)11yescharacteristic
825C22×C17C2×H(5,𝔽2)11yescharacteristic
826C22×C17#58511yescharacteristic
827C22×C17#58511yescharacteristic
828C4×C17—22no—
829C4×C17—22no—
830C4×C17—22no—
831C4×C17—22no—
832C4×C17—41no—
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—
852C24×C4C22×C1711yescharacteristic
853C2×#127C22×C1711yescharacteristic
854C2×#126C22×C1711yescharacteristic
855C2×#126C22×C1711yescharacteristic, complemented
856C2×#126C22×C1711yescharacteristic, complemented
857C2×#123C22×C1711yescharacteristic
858C2×#123C22×C1711yescharacteristic
859C2×#123C22×C1711yescharacteristic
860C2×#123C22×C1711yescharacteristic
861C2×#121C22×C1711yescharacteristic
862C2×#121C22×C1711yescharacteristic
863C2×#121C22×C1711yescharacteristic
864C2×#121C22×C1711yescharacteristic
865C2×#121C22×C1711yescharacteristic
866C2×#121C22×C1711yescharacteristic
867C2×#121C22×C1711yescharacteristic
868C2×#121C22×C1711yescharacteristic, complemented
869C2×#121C22×C1711yescharacteristic, complemented
870C2×#120C22×C1711yescharacteristic
871C2×#120C22×C1711yescharacteristic
872C2×#120C22×C1711yescharacteristic
873C2×#120C22×C1711yescharacteristic
874C2×C4×D4C22×C1711yescharacteristic
875C2×C4×D4C22×C1711yescharacteristic
876C2×C4×D4C22×C1711yescharacteristic
877#401C22×C1711yescharacteristic, complemented
878#400C22×C1711yescharacteristic, complemented
879#400C22×C1711yescharacteristic, complemented
880#400C22×C1711yescharacteristic, complemented
881#399C22×C1711yescharacteristic
882#399C22×C1711yescharacteristic, complemented
883#399C22×C1711yescharacteristic, complemented
884#398C22×C1711yescharacteristic, complemented
885#398C22×C1711yescharacteristic, complemented
886#398C22×C1711yescharacteristic, complemented
887#398C22×C1711yescharacteristic, complemented
888#398C22×C1711yescharacteristic, complemented
889#397C22×C1711yescharacteristic
890#397C22×C1711yescharacteristic
891#397C22×C1711yescharacteristic, complemented
892#397C22×C1711yescharacteristic, complemented
893#396C22×C1711yescharacteristic
894#396C22×C1711yescharacteristic
895#396C22×C1711yescharacteristic
896#396C22×C1711yescharacteristic, complemented
897#394C22×C1711yescharacteristic
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
907#394C22×C1711yescharacteristic, complemented
908#394C22×C1711yescharacteristic, complemented
909#394C22×C1711yescharacteristic, complemented
910#394C22×C1711yescharacteristic, complemented
911#394C22×C1711yescharacteristic, complemented
912#394C22×C1711yescharacteristic, complemented
913#394C22×C1711yescharacteristic, complemented
914#394C22×C1711yescharacteristic, complemented
915#394C22×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, complemented
925#390C22×C1711yescharacteristic
926#390C22×C1711yescharacteristic
927#390C22×C1711yescharacteristic
928#390C22×C1711yescharacteristic
929#390C22×C1711yescharacteristic
930#390C22×C1711yescharacteristic
931#390C22×C1711yescharacteristic, complemented
932#390C22×C1711yescharacteristic, complemented
933#389C22×C1711yescharacteristic, complemented
934#389C22×C1711yescharacteristic, complemented
935#389C22×C1711yescharacteristic, complemented
936#388C22×C1711yescharacteristic
937#388C22×C1711yescharacteristic
938#388C22×C1711yescharacteristic
939#388C22×C1711yescharacteristic
940#388C22×C1711yescharacteristic
941#388C22×C1711yescharacteristic
942#388C22×C1711yescharacteristic
943#388C22×C1711yescharacteristic, complemented
944#388C22×C1711yescharacteristic, complemented
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#387C22×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, complemented
974#386C22×C1711yescharacteristic, complemented
975#386C22×C1711yescharacteristic, complemented
976#386C22×C1711yescharacteristic, complemented
977#385C22×C1711yescharacteristic
978#385C22×C1711yescharacteristic
979#385C22×C1711yescharacteristic
980#385C22×C1711yescharacteristic
981#385C22×C1711yescharacteristic
982#385C22×C1711yescharacteristic
983#385C22×C1711yescharacteristic
984#385C22×C1711yescharacteristic, complemented
985#385C22×C1711yescharacteristic, complemented
986#385C22×C1711yescharacteristic, complemented
987#382C22×C1711yescharacteristic, complemented
988#382C22×C1711yescharacteristic, complemented
989#381C22×C1711yescharacteristic
990#381C22×C1711yescharacteristic
991#381C22×C1711yescharacteristic, complemented
992#381C22×C1711yescharacteristic, complemented
993#380C22×C1711yescharacteristic
994#380C22×C1711yescharacteristic
995#380C22×C1711yescharacteristic
996#380C22×C1711yescharacteristic, complemented
997#380C22×C1711yescharacteristic, complemented
998#379C22×C1711yescharacteristic
999#379C22×C1711yescharacteristic
1000C4×C4⋊C4C22×C1711yescharacteristic, complemented
1001C4×C22⋊C4C22×C1711yescharacteristic
1002C4×C22⋊C4C22×C1711yescharacteristic
1003C4×C22⋊C4C22×C1711yescharacteristic
1004C4×C22⋊C4C22×C1711yescharacteristic, complemented
1005C4×C22⋊C4C22×C1711yescharacteristic, complemented
1006C4×C22⋊C4C22×C1711yescharacteristic, complemented
1007C2×C17—42no—
1008C2×C17—42no—
1009C2×C17—42no—
1010C2×C17—81no—
1011C2×C17—81no—
1012C2×C17—81no—
1013C2×C17—81no—
1014C2×C17#346011yescharacteristic
1015C2×C17#351311yescharacteristic
1016C2×C17#351911yescharacteristic
1017C2×C17#353211yescharacteristic
1018C2×C17#353411yescharacteristic
1019C2×C17#353911yescharacteristic
1020C2×C17#354211yescharacteristic
1021C25C23×C1711yescharacteristic
1022C22×D4C23×C1711yescharacteristic
1023C22×D4C23×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
1040C23×C4—42no—
1041C23×C4—42no—
1042C23×C4—42no—
1043C23×C4C23×C1711yescharacteristic
1044C23×C4C23×C1711yescharacteristic
1045C23×C4C23×C1711yescharacteristic
1046C23×C4C23×C1711yescharacteristic
1047C23×C4C23×C1711yescharacteristic
1048C23×C4C23×C1711yescharacteristic
1049C23×C4C23×C1711yescharacteristic
1050C23×C4C23×C1711yescharacteristic
1051C23×C4C23×C1711yescharacteristic
1052C23×C4C23×C1711yescharacteristic
1053#127—42no—
1054#126—42no—
1055#126—42no—
1056#126—42no—
1057#123—24no—
1058#123—42no—
1059#123—42no—
1060#123—42no—
1061#121—24no—
1062#121—42no—
1063#121—42no—
1064#121—42no—
1065#121—42no—
1066#121—42no—
1067#121—42no—
1068#121—42no—
1069#121—42no—
1070#120—24no—
1071#120—42no—
1072#120—42no—
1073#120—42no—
1074C4×D4—42no—
1075C4×D4—42no—
1076C4×D4—42no—
1077C2×C4⋊C4C23×C1711yescharacteristic
1078C2×C4⋊C4C23×C1711yescharacteristic
1079C2×C4⋊C4C23×C1711yescharacteristic
1080C2×C4⋊C4C23×C1711yescharacteristic
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×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×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
1165C2×C42C23×C1711yescharacteristic
1166C2×C42C23×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
1203C17#3688711yescharacteristic, direct product factor, Sylow
1204C24—22no—
1205C24—22no—
1206C24—22no—
1207C24—41no—
1208C24—41no—
1209C24—41no—
1210C24—41no—
1211C24C24×C1711yescharacteristic
1212C24C24×C1711yescharacteristic
1213C24C24×C1711yescharacteristic
1214C24C24×C1711yescharacteristic
1215C24C24×C1711yescharacteristic
1216C24C24×C1711yescharacteristic
1217C24C24×C1711yescharacteristic
1218C2×D4—22no—
1219C2×D4—22no—
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—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
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—
1272C22×C4—22no—
1273C22×C4—22no—
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—41no—
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—416no—
1303C22×C4C24×C1711yescharacteristic
1304C22×C4C24×C1711yescharacteristic
1305C22×C4C24×C1711yescharacteristic
1306C22×C4C24×C1711yescharacteristic
1307C22×C4C24×C1711yescharacteristic
1308C22×C4C24×C1711yescharacteristic
1309C22×C4C24×C1711yescharacteristic
1310C22×C4C24×C1711yescharacteristic
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
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
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—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊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#41×C1714yes—
1409C42—22no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—41no—
1414C42—41no—
1415C42—41no—
1416C42—41no—
1417C23—21no—
1418C23—21no—
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—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23C2×#41×C1712yes—
1471C23C17×H(5,𝔽2)12yes—
1472C23C17×H(5,𝔽2)12yes—
1473C23C25×C1711yescharacteristic
1474D4—44no—
1475D4—44no—
1476D4—44no—
1477D4—82no—
1478D4—82no—
1479D4—82no—
1480D4—82no—
1481D4—82no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492C2×C4—21no—
1493C2×C4—21no—
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—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—82no—
1567C2×C4—82no—
1568C2×C4—82no—
1569C2×C4—82no—
1570C2×C4C2×#41×C1712yes—
1571C2×C4C2×#41×C1712yes—
1572C2×C4C17×H(5,𝔽2)12yes—
1573C2×C4C17×H(5,𝔽2)12yes—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—416no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
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—
1624C22C22×#41×C1711yescharacteristic
1625C22C2×C17×H(5,𝔽2)11yescharacteristic
1626C22C2×C17×H(5,𝔽2)11yescharacteristic
1627C22C2×C17×H(5,𝔽2)11yescharacteristic
1628C22C2×C17×H(5,𝔽2)11yescharacteristic
1629C22C17×#58511yescharacteristic
1630C22C17×#58511yescharacteristic
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
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—
1655C2—42no—
1656C2—42no—
1657C2—42no—
1658C2—81no—
1659C2—81no—
1660C2—81no—
1661C2—81no—
1662C2C17×#346011yescharacteristic
1663C2C17×#351311yescharacteristic
1664C2C17×#351911yescharacteristic
1665C2C17×#353211yescharacteristic
1666C2C17×#353411yescharacteristic
1667C2C17×#353911yescharacteristic
1668C2C17×#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×#2778C2semidirect
4. C17×#2768C2semidirect
5. C17×#2753C2semidirect
6. C17×#2746C2semidirect
7. C17×#2739C2semidirect
8. C17×#2714C2semidirect
9. C17×#2709C2semidirect
10. C17×#2705C2semidirect
11. C17×#2699C2semidirect
12. C17×#2691C2semidirect
13. C17×#2685C2semidirect
14. C17×#2678C2semidirect
15. C17×#2678C2semidirect
16. C17×#2671C2semidirect
17. C17×#2671C2semidirect
18. C17×#2669C2semidirect
19. C17×#2636C2semidirect
20. C17×#2635C2semidirect
21. C17×#2576C2semidirect
22. C17×#2559C2semidirect
23. C17×#2554C2semidirect
24. C17×#2553C2semidirect
25. C17×#2468C2semidirect
26. C17×#2464C2semidirect
27. C17×#2428C2semidirect
28. C17×#2420C2semidirect
29. C17×#2335C2semidirect
30. C17×#2333C2semidirect
31. C4×C17×#120C2semidirect
35. C2×C17×#126C22semidirect
36. C2×C17×#126C22semidirect
48. C2×C17×#121C22semidirect
49. C2×C17×#121C22semidirect
57. C17×#401C22semidirect
58. C17×#400C22semidirect
59. C17×#400C22semidirect
60. C17×#400C22semidirect
62. C17×#399C22semidirect
63. C17×#399C22semidirect
64. C17×#398C22semidirect
65. C17×#398C22semidirect
66. C17×#398C22semidirect
67. C17×#398C22semidirect
68. C17×#398C22semidirect
71. C17×#397C22semidirect
72. C17×#397C22semidirect
76. C17×#396C22semidirect
87. C17×#394C22semidirect
88. C17×#394C22semidirect
89. C17×#394C22semidirect
90. C17×#394C22semidirect
91. C17×#394C22semidirect
92. C17×#394C22semidirect
93. C17×#394C22semidirect
94. C17×#394C22semidirect
95. C17×#394C22semidirect
104. C17×#392C22semidirect
111. C17×#390C22semidirect
112. C17×#390C22semidirect
113. C17×#389C22semidirect
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×#388C22semidirect
131. C17×#387C22semidirect
132. C17×#387C22semidirect
133. C17×#387C22semidirect
134. C17×#387C22semidirect
135. C17×#387C22semidirect
136. C17×#387C22semidirect
153. C17×#386C22semidirect
154. C17×#386C22semidirect
155. C17×#386C22semidirect
156. C17×#386C22semidirect
164. C17×#385C22semidirect
165. C17×#385C22semidirect
166. C17×#385C22semidirect
167. C17×#382C22semidirect
168. C17×#382C22semidirect
171. C17×#381C22semidirect
172. C17×#381C22semidirect
176. C17×#380C22semidirect
177. C17×#380C22semidirect
180. C4×C4⋊C4×C17C22semidirect
184. C4×C22⋊C4×C17C22semidirect
185. C4×C22⋊C4×C17C22semidirect
186. C4×C22⋊C4×C17C22semidirect
582. #36887C17direct (N × H)
740. #2849C2×C17semidirect
741. #2847C2×C17semidirect
742. #2778C2×C17semidirect
743. #2768C2×C17semidirect
744. #2753C2×C17semidirect
745. #2746C2×C17semidirect
746. #2739C2×C17semidirect
747. #2714C2×C17semidirect
748. #2709C2×C17semidirect
749. #2705C2×C17semidirect
750. #2699C2×C17semidirect
751. #2691C2×C17semidirect
752. #2685C2×C17semidirect
753. #2678C2×C17semidirect
754. #2678C2×C17semidirect
755. #2671C2×C17semidirect
756. #2671C2×C17semidirect
757. #2669C2×C17semidirect
758. #2636C2×C17semidirect
759. #2635C2×C17semidirect
760. #2576C2×C17semidirect
761. #2559C2×C17semidirect
762. #2554C2×C17semidirect
763. #2553C2×C17semidirect
764. #2468C2×C17semidirect
765. #2464C2×C17semidirect
766. #2428C2×C17semidirect
767. #2420C2×C17semidirect
768. #2335C2×C17semidirect
769. #2333C2×C17semidirect
770. C4×#120C2×C17semidirect
855. C2×#126C22×C17semidirect
856. C2×#126C22×C17semidirect
868. C2×#121C22×C17semidirect
869. C2×#121C22×C17semidirect
877. #401C22×C17semidirect
878. #400C22×C17semidirect
879. #400C22×C17semidirect
880. #400C22×C17semidirect
882. #399C22×C17semidirect
883. #399C22×C17semidirect
884. #398C22×C17semidirect
885. #398C22×C17semidirect
886. #398C22×C17semidirect
887. #398C22×C17semidirect
888. #398C22×C17semidirect
891. #397C22×C17semidirect
892. #397C22×C17semidirect
896. #396C22×C17semidirect
907. #394C22×C17semidirect
908. #394C22×C17semidirect
909. #394C22×C17semidirect
910. #394C22×C17semidirect
911. #394C22×C17semidirect
912. #394C22×C17semidirect
913. #394C22×C17semidirect
914. #394C22×C17semidirect
915. #394C22×C17semidirect
924. #392C22×C17semidirect
931. #390C22×C17semidirect
932. #390C22×C17semidirect
933. #389C22×C17semidirect
934. #389C22×C17semidirect
935. #389C22×C17semidirect
943. #388C22×C17semidirect
944. #388C22×C17semidirect
945. #388C22×C17semidirect
946. #388C22×C17semidirect
947. #388C22×C17semidirect
948. #388C22×C17semidirect
949. #388C22×C17semidirect
950. #388C22×C17semidirect
951. #387C22×C17semidirect
952. #387C22×C17semidirect
953. #387C22×C17semidirect
954. #387C22×C17semidirect
955. #387C22×C17semidirect
956. #387C22×C17semidirect
973. #386C22×C17semidirect
974. #386C22×C17semidirect
975. #386C22×C17semidirect
976. #386C22×C17semidirect
984. #385C22×C17semidirect
985. #385C22×C17semidirect
986. #385C22×C17semidirect
987. #382C22×C17semidirect
988. #382C22×C17semidirect
991. #381C22×C17semidirect
992. #381C22×C17semidirect
996. #380C22×C17semidirect
997. #380C22×C17semidirect
1000. C4×C4⋊C4C22×C17semidirect
1004. C4×C22⋊C4C22×C17semidirect
1005. C4×C22⋊C4C22×C17semidirect
1006. C4×C22⋊C4C22×C17semidirect
1203. C17#36887direct (N × H)

Maximal subgroups

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

subgroupindex
C17×#28492
C17×#28472
C17×#27782
C17×#27682
C17×#27532
C17×#27462
C17×#27392
C17×#27142
C17×#27092
C17×#27052
C17×#26992
C17×#26912
C17×#26852
C17×#26782
C17×#26712
C17×#26692
C17×#26362
C17×#26352
C17×#25762
C17×#25592
C17×#25542
C17×#25532
C17×#24682
C17×#24642
C17×#24282
C17×#24202
C17×#23352
C17×#23332
C4×C17×#1202
#3688717