Finite Group Databasebeta

← C17×#34302 #16892046

Subgroups — C17×#34302 #16892046

Order 4352.

2956 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C17×#546C211yesmaximal, characteristic
2C17×#2374C211yesmaximal, characteristic, complemented
3C17×#2372C211yesmaximal, characteristic, complemented
4C17×#2368C211yesmaximal, characteristic, complemented
5C17×#2364C211yesmaximal, characteristic, complemented
6C17×#2364C211yesmaximal, characteristic, complemented
7C17×#2363C211yesmaximal, characteristic, complemented
8C17×#2359C211yesmaximal, characteristic, complemented
9C17×#2358C211yesmaximal, characteristic, complemented
10C17×#2358C211yesmaximal, characteristic, complemented
11C17×#2353C211yesmaximal, characteristic, complemented
12C17×#2353C211yesmaximal, characteristic, complemented
13C17×#2342C211yesmaximal, characteristic, complemented
14C17×#2342C211yesmaximal, characteristic, complemented
15C17×#2339C211yesmaximal, characteristic, complemented
16D4×C22⋊C4×C17C211yesmaximal, characteristic, complemented
17C17×#2337C211yesmaximal, characteristic, complemented
18C17×#2335C211yesmaximal, characteristic, complemented
19C17×#2333C211yesmaximal, characteristic, complemented
20C17×#2333C211yesmaximal, characteristic, complemented
21C17×#2329C211yesmaximal, characteristic, complemented
22C17×#2321C211yesmaximal, characteristic, complemented
23C4×C17×#123C211yesmaximal, characteristic, complemented
24C4×C17×#121C211yesmaximal, characteristic, complemented
25C4×C17×#120C211yesmaximal, characteristic, complemented
26C17×#2297C211yesmaximal, characteristic, complemented
27C17×#2290C211yesmaximal, characteristic, complemented
28C2×C17×#386C211yesmaximal, characteristic, complemented
29C17×#2275C211yesmaximal, characteristic, complemented
30C17×#2273C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C17C211yesmaximal, characteristic, complemented
32C22×#41×C17C2211yescharacteristic
33C23×D4×C17C2211yescharacteristic
34C24×C4×C17C2211yescharacteristic
35C17×#546C4116yescomplemented
36C2×C17×#124C2211yescharacteristic
37C2×C17×#123C2211yescharacteristic
38C2×C17×#123C2211yescharacteristic
39C2×C17×C22⋊Q8C2211yescharacteristic
40C2×C17×#121C2211yescharacteristic
41C2×C17×#121C2211yescharacteristic
42C2×C17×#121C2211yescharacteristic
43C2×C17×#120C2211yescharacteristic
44C2×C17×#120C2211yescharacteristic
45C2×C4×D4×C17C2211yescharacteristic
46C2×C4×D4×C17C2211yescharacteristic
47C2×C4×D4×C17C2211yescharacteristic
48C2×C4×D4×C17C2211yescharacteristic
49C2×C4×D4×C17C2211yescharacteristic
50C2×C4×D4×C17C2211yescharacteristic
51C2×C4×D4×C17C2211yescharacteristic, complemented
52C2×C4×D4×C17C2211yescharacteristic, complemented
53C2×C4×D4×C17C2211yescharacteristic, complemented
54C2×C4×D4×C17C2211yescharacteristic, complemented
55C2×C17×#117C2211yescharacteristic, complemented
56C2×C17×#117C2211yescharacteristic, complemented
57C22×C22⋊C4×C17C2211yescharacteristic
58C22×C22⋊C4×C17C2211yescharacteristic
59C22×C22⋊C4×C17C2211yescharacteristic
60C22×C22⋊C4×C17C2211yescharacteristic
61C22×C22⋊C4×C17C2211yescharacteristic
62C22×C22⋊C4×C17C2211yescharacteristic
63C22×C22⋊C4×C17C2211yescharacteristic
64C22×C42×C17C2211yescharacteristic, complemented
65C22×C42×C17C2211yescharacteristic, complemented
66C17×#391C2211yescharacteristic, complemented
67C17×#391C2211yescharacteristic, complemented
68C17×#391C2211yescharacteristic, complemented
69C17×#391C2211yescharacteristic, complemented
70C17×#390C2211yescharacteristic
71C17×#390C2211yescharacteristic
72C17×#390C2211yescharacteristic, complemented
73C17×#390C2211yescharacteristic, complemented
74C17×#390C2211yescharacteristic, complemented
75C17×#390C2211yescharacteristic, complemented
76C17×#389C2211yescharacteristic, complemented
77C17×#389C2211yescharacteristic, complemented
78C17×#388C2211yescharacteristic, complemented
79C17×#388C2211yescharacteristic, complemented
80C17×#388C2211yescharacteristic, complemented
81C17×#388C2211yescharacteristic, complemented
82C17×#388C2211yescharacteristic, complemented
83C17×#388C2211yescharacteristic, complemented
84C17×#388C2211yescharacteristic, complemented
85C17×#388C2211yescharacteristic, complemented
86C17×#388C2211yescharacteristic, complemented
87C17×#388C2211yescharacteristic, complemented
88C17×#388C2211yescharacteristic, complemented
89C17×#388C2211yescharacteristic, complemented
90C17×#388C2211yescharacteristic, complemented
91C17×#388C2211yescharacteristic, complemented
92C17×#388C2211yescharacteristic, complemented
93C17×#388C2211yescharacteristic, complemented
94C17×#388C2211yescharacteristic, complemented
95C17×#388C2211yescharacteristic, complemented
96C17×#387C2211yescharacteristic, complemented
97C17×#387C2211yescharacteristic, complemented
98C17×#387C2211yescharacteristic, complemented
99C17×#387C2211yescharacteristic, complemented
100C17×#387C2211yescharacteristic, complemented
101C17×#387C2211yescharacteristic, complemented
102C17×#387C2211yescharacteristic, complemented
103C17×#387C2211yescharacteristic, complemented
104C17×#387C2211yescharacteristic, complemented
105C17×#387C2211yescharacteristic, complemented
106C17×#386C2211yescharacteristic
107C17×#386C2211yescharacteristic
108C17×#386C2211yescharacteristic
109C17×#386C2211yescharacteristic
110C17×#386C2211yescharacteristic
111C17×#386C2211yescharacteristic
112C17×#386C2211yescharacteristic
113C17×#386C2211yescharacteristic
114C17×#386C2211yescharacteristic
115C17×#386C2211yescharacteristic
116C17×#386C2211yescharacteristic
117C17×#386C2211yescharacteristic
118C17×#386C2211yescharacteristic
119C17×#386C2211yescharacteristic
120C17×#386C2211yescharacteristic, complemented
121C17×#386C2211yescharacteristic, complemented
122C17×#386C2211yescharacteristic, complemented
123C17×#386C2211yescharacteristic, complemented
124C17×#386C2211yescharacteristic, complemented
125C17×#386C2211yescharacteristic, complemented
126C17×#386C2211yescharacteristic, complemented
127C17×#386C2211yescharacteristic, complemented
128C17×#385C2211yescharacteristic
129C17×#385C2211yescharacteristic
130C17×#385C2211yescharacteristic
131C17×#385C2211yescharacteristic
132C17×#385C2211yescharacteristic, complemented
133C17×#385C2211yescharacteristic, complemented
134C17×#385C2211yescharacteristic, complemented
135C17×#385C2211yescharacteristic, complemented
136C17×#383C2211yescharacteristic, complemented
137C17×#381C2211yescharacteristic, complemented
138C17×#381C2211yescharacteristic, complemented
139C17×#381C2211yescharacteristic, complemented
140C17×#380C2211yescharacteristic
141C17×#380C2211yescharacteristic, complemented
142C17×#380C2211yescharacteristic, complemented
143C17×#379C2211yescharacteristic
144C17×#379C2211yescharacteristic
145C4×C4⋊C4×C17C2211yescharacteristic, complemented
146C4×C4⋊C4×C17C2211yescharacteristic, complemented
147C4×C4⋊C4×C17C2211yescharacteristic, complemented
148C4×C4⋊C4×C17C2211yescharacteristic, complemented
149C4×C4⋊C4×C17C2211yescharacteristic, complemented
150C4×C22⋊C4×C17C2211yescharacteristic
151C4×C22⋊C4×C17C2211yescharacteristic
152C4×C22⋊C4×C17C2211yescharacteristic
153C4×C22⋊C4×C17C2211yescharacteristic
154C4×C22⋊C4×C17C2211yescharacteristic
155C4×C22⋊C4×C17C2211yescharacteristic
156C4×C22⋊C4×C17C2211yescharacteristic
157C4×C22⋊C4×C17C2211yescharacteristic
158C4×C22⋊C4×C17C2211yescharacteristic
159C4×C22⋊C4×C17C2211yescharacteristic, complemented
160C4×C22⋊C4×C17C2211yescharacteristic, complemented
161C4×C22⋊C4×C17C2211yescharacteristic, complemented
162C4×C22⋊C4×C17C2211yescharacteristic, complemented
163C4×C22⋊C4×C17C2211yescharacteristic, complemented
164C4×C22⋊C4×C17C2211yescharacteristic, complemented
165C4×C22⋊C4×C17C2211yescharacteristic, complemented
166C4×C22⋊C4×C17C2211yescharacteristic, complemented
167C4×C22⋊C4×C17C2211yescharacteristic, complemented
168C4×C22⋊C4×C17C2211yescharacteristic, complemented
169C4×C22⋊C4×C17C2211yescharacteristic, complemented
170C4×C22⋊C4×C17C2211yescharacteristic, complemented
171C4×C22⋊C4×C17C2211yescharacteristic, complemented
172C4×C22⋊C4×C17C2211yescharacteristic, complemented
173C4×C22⋊C4×C17C2211yescharacteristic, complemented
174C4×C22⋊C4×C17C2211yescharacteristic, complemented
175C4×C22⋊C4×C17C2211yescharacteristic, complemented
176C4×C22⋊C4×C17C2211yescharacteristic, complemented
177C4×C22⋊C4×C17C2211yescharacteristic, complemented
178C4×C22⋊C4×C17C2211yescharacteristic, complemented
179C4×C22⋊C4×C17C2211yescharacteristic, complemented
180C4×C22⋊C4×C17C2211yescharacteristic, complemented
181C17×#376C2211yescharacteristic, complemented
182C17×#376C2211yescharacteristic, complemented
183C2×C17×#95C2211yescharacteristic
184C2×C17×#95C2211yescharacteristic
185C2×C17×#95C2211yescharacteristic, complemented
186C2×C17×#95C2211yescharacteristic, complemented
187C2×C17×#95C2211yescharacteristic, complemented
188C25×C17C2311yescharacteristic
189C25×C17C2311yescharacteristic
190C2×#41×C17—42no—
191C2×#41×C17—42no—
192C2×#41×C17C2×C418yescomplemented
193C22×Q8×C17C2311yescharacteristic
194C22×D4×C17—42no—
195C22×D4×C17—42no—
196C22×D4×C17C2×C418yescomplemented
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—24no—
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
221C23×C4×C17C2311yescharacteristic
222C23×C4×C17C2311yescharacteristic
223C23×C4×C17C2311yescharacteristic
224C23×C4×C17C2311yescharacteristic
225C23×C4×C17C2311yescharacteristic
226C23×C4×C17C2311yescharacteristic
227C23×C4×C17C2311yescharacteristic
228C23×C4×C17C2311yescharacteristic
229C17×#124C2×C418yescomplemented
230C17×#123C2×C418yescomplemented
231C17×#123C2×C418yescomplemented
232C17×C22⋊Q8C2×C418yescomplemented
233C17×#121C2×C418yescomplemented
234C17×#121C2×C418yescomplemented
235C17×#121C2×C418yescomplemented
236C17×#120C2×C418yescomplemented
237C17×#120C2×C418yescomplemented
238C4×D4×C17—24no—
239C4×D4×C17—24no—
240C4×D4×C17—42no—
241C4×D4×C17—42no—
242C4×D4×C17—42no—
243C4×D4×C17—42no—
244C4×D4×C17—42no—
245C4×D4×C17—42no—
246C4×D4×C17C2×C418yescomplemented
247C4×D4×C17C2×C418yescomplemented
248C17×#117—42no—
249C17×#117—42no—
250C2×C4⋊C4×C17C2311yescharacteristic
251C2×C4⋊C4×C17C2311yescharacteristic
252C2×C4⋊C4×C17C2311yescharacteristic
253C2×C4⋊C4×C17C2311yescharacteristic
254C2×C4⋊C4×C17C2311yescharacteristic
255C2×C4⋊C4×C17C2311yescharacteristic
256C2×C4⋊C4×C17C2311yescharacteristic
257C2×C4⋊C4×C17C2311yescharacteristic
258C2×C4⋊C4×C17C2311yescharacteristic
259C2×C4⋊C4×C17C2311yescharacteristic
260C2×C4⋊C4×C17C2311yescharacteristic
261C2×C4⋊C4×C17C2311yescharacteristic
262C2×C4⋊C4×C17C2311yescharacteristic
263C2×C4⋊C4×C17C2311yescharacteristic
264C2×C4⋊C4×C17C2311yescharacteristic
265C2×C4⋊C4×C17C2311yescharacteristic
266C2×C22⋊C4×C17—24no—
267C2×C22⋊C4×C17—24no—
268C2×C22⋊C4×C17—24no—
269C2×C22⋊C4×C17—42no—
270C2×C22⋊C4×C17—42no—
271C2×C22⋊C4×C17C2×C418yescomplemented
272C2×C22⋊C4×C17C2×C418yescomplemented
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×C42×C17—42no—
320C2×C42×C17—42no—
321C2×C42×C17C2311yescharacteristic
322C2×C42×C17C2311yescharacteristic
323C2×C42×C17C2311yescharacteristic
324C2×C42×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
333C2×C42×C17C2311yescharacteristic
334C2×C42×C17C2311yescharacteristic
335C2×C42×C17C2311yescharacteristic
336C2×C42×C17C2311yescharacteristic
337C2×C42×C17C2311yescharacteristic
338C2×C42×C17C2311yescharacteristic
339C2×C42×C17C2311yescharacteristic
340C2×C42×C17C2311yescharacteristic
341C2×C42×C17C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C17×#95C2311yescharacteristic
364C17×#95C2311yescharacteristic
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
367C17×#95C2311yescharacteristic
368C17×#95C2311yescharacteristic
369C17×#95C2311yescharacteristic
370C17×#95C2311yescharacteristic
371C17×#95C2311yescharacteristic
372C17×#95C2311yescharacteristic
373C17×#95C2311yescharacteristic
374C17×#95C2311yescharacteristic
375C17×#95C2311yescharacteristic
376C17×#95C2311yescharacteristic
377C17×#95C2311yescharacteristic
378C17×#95C2311yescharacteristic
379C17×#95C2311yescharacteristic
380C17×#95C2311yescharacteristic
381C17×#95C2311yescharacteristic
382C24×C17—22no—
383C24×C17—22no—
384C24×C17—22no—
385C24×C17—22no—
386C24×C17—22no—
387C24×C17—22no—
388C24×C17—41no—
389C24×C17—41no—
390C24×C17—41no—
391C24×C17—41no—
392C24×C17—41no—
393C24×C17—41no—
394C24×C17C22×C414yes—
395C24×C17C22×C414yes—
396C24×C17C2411yescharacteristic
397C24×C17C2411yescharacteristic
398C24×C17C2411yescharacteristic
399C24×C17C2411yescharacteristic
400C24×C17C2411yescharacteristic
401C24×C17C2411yescharacteristic
402#41×C17—416no—
403C2×Q8×C17—41no—
404C2×Q8×C17—41no—
405C2×Q8×C17C22×C414yescomplemented
406C2×D4×C17—22no—
407C2×D4×C17—22no—
408C2×D4×C17—22no—
409C2×D4×C17—22no—
410C2×D4×C17—22no—
411C2×D4×C17—22no—
412C2×D4×C17—22no—
413C2×D4×C17—22no—
414C2×D4×C17—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—416no—
425C2×D4×C17C22×C414yes—
426C2×D4×C17C22×C414yes—
427C2×D4×C17C22×C414yes—
428C2×D4×C17C22×C414yes—
429C2×D4×C17C22×C414yes—
430C2×D4×C17C22×C414yes—
431C2×D4×C17C22×C414yes—
432C2×D4×C17C22×C414yescomplemented
433C2×D4×C17C22×C414yescomplemented
434C22×C4×C17—22no—
435C22×C4×C17—22no—
436C22×C4×C17—22no—
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—22no—
449C22×C4×C17—22no—
450C22×C4×C17—22no—
451C22×C4×C17—22no—
452C22×C4×C17—22no—
453C22×C4×C17—22no—
454C22×C4×C17—22no—
455C22×C4×C17—22no—
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—41no—
474C22×C4×C17—41no—
475C22×C4×C17—41no—
476C22×C4×C17—41no—
477C22×C4×C17—41no—
478C22×C4×C17—41no—
479C22×C4×C17—41no—
480C22×C4×C17—41no—
481C22×C4×C17—41no—
482C22×C4×C17—41no—
483C22×C4×C17—41no—
484C22×C4×C17—41no—
485C22×C4×C17—41no—
486C22×C4×C17—41no—
487C22×C4×C17—416no—
488C22×C4×C17C22×C414yes—
489C22×C4×C17C22×C414yes—
490C22×C4×C17C22×C414yes—
491C22×C4×C17C22×C414yescomplemented
492C22×C4×C17C22×C414yescomplemented
493C22×C4×C17C22×C414yescomplemented
494C22×C4×C17#4114yescomplemented
495C22×C4×C17C2411yescharacteristic
496C22×C4×C17C2411yescharacteristic
497C22×C4×C17C2411yescharacteristic
498C22×C4×C17C2411yescharacteristic
499C22×C4×C17C2411yescharacteristic
500C22×C4×C17C2411yescharacteristic
501C22×C4×C17C2411yescharacteristic
502C22×C4×C17C2411yescharacteristic
503C22×C4×C17C2411yescharacteristic
504C22×C4×C17C2411yescharacteristic
505C22×C4×C17C2411yescharacteristic
506C22×C4×C17C2411yescharacteristic
507C22×C4×C17C2411yescharacteristic
508C22×C4×C17C2411yescharacteristic
509C22×C4×C17C2411yescharacteristic
510C22×C4×C17C2411yescharacteristic
511C22×C4×C17C2411yescharacteristic
512C22×C4×C17C2411yescharacteristic
513C22×C4×C17C2411yescharacteristic
514C22×C4×C17C2411yescharacteristic
515C22×C4×C17C2411yescharacteristic
516C22×C4×C17C2411yescharacteristic
517C22×C4×C17C2411yescharacteristic
518C22×C4×C17C2411yescharacteristic
519C22×C4×C17C2411yescharacteristic
520C4⋊C4×C17—22no—
521C4⋊C4×C17—22no—
522C4⋊C4×C17—22no—
523C4⋊C4×C17—41no—
524C4⋊C4×C17—41no—
525C4⋊C4×C17—41no—
526C4⋊C4×C17—41no—
527C4⋊C4×C17—41no—
528C4⋊C4×C17—41no—
529C4⋊C4×C17—41no—
530C4⋊C4×C17—41no—
531C4⋊C4×C17—41no—
532C4⋊C4×C17C22×C414yescomplemented
533C4⋊C4×C17C22×C414yescomplemented
534C4⋊C4×C17C22×C414yescomplemented
535C4⋊C4×C17C22×C414yescomplemented
536C22⋊C4×C17—22no—
537C22⋊C4×C17—22no—
538C22⋊C4×C17—22no—
539C22⋊C4×C17—22no—
540C22⋊C4×C17—22no—
541C22⋊C4×C17—22no—
542C22⋊C4×C17—22no—
543C22⋊C4×C17—22no—
544C22⋊C4×C17—22no—
545C22⋊C4×C17—22no—
546C22⋊C4×C17—22no—
547C22⋊C4×C17—22no—
548C22⋊C4×C17—22no—
549C22⋊C4×C17—22no—
550C22⋊C4×C17—22no—
551C22⋊C4×C17—22no—
552C22⋊C4×C17—22no—
553C22⋊C4×C17—22no—
554C22⋊C4×C17—22no—
555C22⋊C4×C17—22no—
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×C17C22×C414yes—
570C22⋊C4×C17C22×C414yes—
571C22⋊C4×C17C22×C414yes—
572C22⋊C4×C17C22×C414yes—
573C22⋊C4×C17C22×C414yes—
574C22⋊C4×C17C22×C414yes—
575C22⋊C4×C17C22×C414yes—
576C22⋊C4×C17C22×C414yescomplemented
577C22⋊C4×C17C22×C414yescomplemented
578C22⋊C4×C17C22×C414yescomplemented
579C22⋊C4×C17C22×C414yescomplemented
580C22⋊C4×C17C22×C414yescomplemented
581C22⋊C4×C17#4114yescomplemented
582C42×C17—22no—
583C42×C17—22no—
584C42×C17—22no—
585C42×C17—22no—
586C42×C17—41no—
587C42×C17—41no—
588C42×C17—41no—
589C42×C17—41no—
590C42×C17—41no—
591C42×C17—41no—
592C42×C17—41no—
593C42×C17—41no—
594C42×C17—41no—
595C42×C17—41no—
596C42×C17—41no—
597C42×C17—41no—
598C42×C17—41no—
599C42×C17—41no—
600C42×C17—41no—
601C42×C17—41no—
602C42×C17C22×C414yescomplemented
603#34302C1711yesmaximal, characteristic, direct product factor, Sylow
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—28no—
613C23×C17—28no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—21no—
629C23×C17—21no—
630C23×C17—21no—
631C23×C17—21no—
632C23×C17—21no—
633C23×C17—21no—
634C23×C17—21no—
635C23×C17—21no—
636C23×C17—21no—
637C23×C17—21no—
638C23×C17—28no—
639C23×C17—44no—
640C23×C17—44no—
641C23×C17—44no—
642C23×C17—44no—
643C23×C17—44no—
644C23×C17—44no—
645C23×C17—44no—
646C23×C17—82no—
647C23×C17—82no—
648C23×C17—82no—
649C23×C17—82no—
650C23×C17C23×C412yes—
651C23×C17C23×C412yes—
652C23×C17C23×C412yes—
653C23×C17C23×C412yes—
654C23×C17C23×C412yes—
655C23×C17C23×C412yes—
656C23×C17C2×#4112yes—
657C23×C17C2×#4112yes—
658C23×C17H(5,𝔽2)12yes—
659C23×C17H(5,𝔽2)12yes—
660C23×C17C2511yescharacteristic
661Q8×C17—44no—
662D4×C17—28no—
663D4×C17—28no—
664D4×C17—28no—
665D4×C17—28no—
666D4×C17—44no—
667D4×C17—44no—
668D4×C17—44no—
669D4×C17—44no—
670D4×C17—44no—
671C2×C4×C17—28no—
672C2×C4×C17—28no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—21no—
721C2×C4×C17—21no—
722C2×C4×C17—21no—
723C2×C4×C17—21no—
724C2×C4×C17—21no—
725C2×C4×C17—21no—
726C2×C4×C17—21no—
727C2×C4×C17—21no—
728C2×C4×C17—21no—
729C2×C4×C17—21no—
730C2×C4×C17—21no—
731C2×C4×C17—21no—
732C2×C4×C17—21no—
733C2×C4×C17—21no—
734C2×C4×C17—44no—
735C2×C4×C17—44no—
736C2×C4×C17—44no—
737C2×C4×C17—44no—
738C2×C4×C17—44no—
739C2×C4×C17—44no—
740C2×C4×C17—44no—
741C2×C4×C17—44no—
742C2×C4×C17—44no—
743C2×C4×C17—44no—
744C2×C4×C17—44no—
745C2×C4×C17—44no—
746C2×C4×C17—82no—
747C2×C4×C17—82no—
748C2×C4×C17—82no—
749C2×C4×C17—82no—
750C2×C4×C17—82no—
751C2×C4×C17—82no—
752C2×C4×C17C23×C412yes—
753C2×C4×C17C23×C412yes—
754C2×C4×C17C23×C412yes—
755C2×C4×C17C23×C412yes—
756C2×C4×C17C23×C412yes—
757C2×C4×C17C23×C412yes—
758C2×C4×C17C23×C412yes—
759C2×C4×C17C23×C412yes—
760C2×C4×C17C23×C412yes—
761C2×C4×C17C2×#4112yes—
762C2×C4×C17C2×#4112yes—
763C2×C4×C17C2×#4112yes—
764C2×C4×C17C2×#4112yes—
765C2×C4×C17H(5,𝔽2)12yes—
766C2×#546C2×C1711yescharacteristic
767#2374C2×C1711yescharacteristic, complemented
768#2372C2×C1711yescharacteristic, complemented
769#2368C2×C1711yescharacteristic, complemented
770#2364C2×C1711yescharacteristic, complemented
771#2364C2×C1711yescharacteristic, complemented
772#2363C2×C1711yescharacteristic, complemented
773#2359C2×C1711yescharacteristic, complemented
774#2358C2×C1711yescharacteristic, complemented
775#2358C2×C1711yescharacteristic, complemented
776#2353C2×C1711yescharacteristic, complemented
777#2353C2×C1711yescharacteristic, complemented
778#2342C2×C1711yescharacteristic, complemented
779#2342C2×C1711yescharacteristic, complemented
780#2339C2×C1711yescharacteristic, complemented
781D4×C22⋊C4C2×C1711yescharacteristic, complemented
782#2337C2×C1711yescharacteristic, complemented
783#2335C2×C1711yescharacteristic, complemented
784#2333C2×C1711yescharacteristic, complemented
785#2333C2×C1711yescharacteristic, complemented
786#2329C2×C1711yescharacteristic, complemented
787#2321C2×C1711yescharacteristic, complemented
788C4×#123C2×C1711yescharacteristic, complemented
789C4×#121C2×C1711yescharacteristic, complemented
790C4×#120C2×C1711yescharacteristic, complemented
791#2297C2×C1711yescharacteristic, complemented
792#2290C2×C1711yescharacteristic, complemented
793C2×#386C2×C1711yescharacteristic, complemented
794#2275C2×C1711yescharacteristic, complemented
795#2273C2×C1711yescharacteristic, complemented
796C2×C4×C22⋊C4C2×C1711yescharacteristic, complemented
797C22×C17—22no—
798C22×C17—22no—
799C22×C17—22no—
800C22×C17—22no—
801C22×C17—22no—
802C22×C17—22no—
803C22×C17—22no—
804C22×C17—22no—
805C22×C17—22no—
806C22×C17—22no—
807C22×C17—22no—
808C22×C17—22no—
809C22×C17—22no—
810C22×C17—22no—
811C22×C17—22no—
812C22×C17—22no—
813C22×C17—22no—
814C22×C17—22no—
815C22×C17—22no—
816C22×C17—22no—
817C22×C17—22no—
818C22×C17—22no—
819C22×C17—22no—
820C22×C17—22no—
821C22×C17—416no—
822C22×C17—41no—
823C22×C17—41no—
824C22×C17—41no—
825C22×C17—41no—
826C22×C17—41no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17—41no—
831C22×C17—41no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—88no—
839C22×C17C4×#4114yes—
840C22×C17#51814yes—
841C22×C17C24×C411yescharacteristic
842C22×C17C22×#4111yescharacteristic
843C22×C17C22×#4111yescharacteristic
844C22×C17C2×H(5,𝔽2)11yescharacteristic
845C22×C17C2×H(5,𝔽2)11yescharacteristic
846C22×C17C2×H(5,𝔽2)11yescharacteristic
847C22×C17#58511yescharacteristic
848C4×C17—22no—
849C4×C17—22no—
850C4×C17—22no—
851C4×C17—22no—
852C4×C17—22no—
853C4×C17—22no—
854C4×C17—22no—
855C4×C17—22no—
856C4×C17—22no—
857C4×C17—22no—
858C4×C17—22no—
859C4×C17—22no—
860C4×C17—22no—
861C4×C17—22no—
862C4×C17—41no—
863C4×C17—41no—
864C4×C17—41no—
865C4×C17—41no—
866C4×C17—41no—
867C4×C17—41no—
868C4×C17—41no—
869C4×C17—41no—
870C4×C17—41no—
871C4×C17—41no—
872C4×C17—41no—
873C22×#41C22×C1711yescharacteristic
874C23×D4C22×C1711yescharacteristic
875C24×C4C22×C1711yescharacteristic
876#546C4×C17116yescomplemented
877C2×#124C22×C1711yescharacteristic
878C2×#123C22×C1711yescharacteristic
879C2×#123C22×C1711yescharacteristic
880C2×C22⋊Q8C22×C1711yescharacteristic
881C2×#121C22×C1711yescharacteristic
882C2×#121C22×C1711yescharacteristic
883C2×#121C22×C1711yescharacteristic
884C2×#120C22×C1711yescharacteristic
885C2×#120C22×C1711yescharacteristic
886C2×C4×D4C22×C1711yescharacteristic
887C2×C4×D4C22×C1711yescharacteristic
888C2×C4×D4C22×C1711yescharacteristic
889C2×C4×D4C22×C1711yescharacteristic
890C2×C4×D4C22×C1711yescharacteristic
891C2×C4×D4C22×C1711yescharacteristic
892C2×C4×D4C22×C1711yescharacteristic, complemented
893C2×C4×D4C22×C1711yescharacteristic, complemented
894C2×C4×D4C22×C1711yescharacteristic, complemented
895C2×C4×D4C22×C1711yescharacteristic, complemented
896C2×#117C22×C1711yescharacteristic, complemented
897C2×#117C22×C1711yescharacteristic, complemented
898C22×C22⋊C4C22×C1711yescharacteristic
899C22×C22⋊C4C22×C1711yescharacteristic
900C22×C22⋊C4C22×C1711yescharacteristic
901C22×C22⋊C4C22×C1711yescharacteristic
902C22×C22⋊C4C22×C1711yescharacteristic
903C22×C22⋊C4C22×C1711yescharacteristic
904C22×C22⋊C4C22×C1711yescharacteristic
905C22×C42C22×C1711yescharacteristic, complemented
906C22×C42C22×C1711yescharacteristic, complemented
907#391C22×C1711yescharacteristic, complemented
908#391C22×C1711yescharacteristic, complemented
909#391C22×C1711yescharacteristic, complemented
910#391C22×C1711yescharacteristic, complemented
911#390C22×C1711yescharacteristic
912#390C22×C1711yescharacteristic
913#390C22×C1711yescharacteristic, complemented
914#390C22×C1711yescharacteristic, complemented
915#390C22×C1711yescharacteristic, complemented
916#390C22×C1711yescharacteristic, complemented
917#389C22×C1711yescharacteristic, complemented
918#389C22×C1711yescharacteristic, complemented
919#388C22×C1711yescharacteristic, complemented
920#388C22×C1711yescharacteristic, complemented
921#388C22×C1711yescharacteristic, complemented
922#388C22×C1711yescharacteristic, complemented
923#388C22×C1711yescharacteristic, complemented
924#388C22×C1711yescharacteristic, complemented
925#388C22×C1711yescharacteristic, complemented
926#388C22×C1711yescharacteristic, complemented
927#388C22×C1711yescharacteristic, complemented
928#388C22×C1711yescharacteristic, complemented
929#388C22×C1711yescharacteristic, complemented
930#388C22×C1711yescharacteristic, complemented
931#388C22×C1711yescharacteristic, complemented
932#388C22×C1711yescharacteristic, complemented
933#388C22×C1711yescharacteristic, complemented
934#388C22×C1711yescharacteristic, complemented
935#388C22×C1711yescharacteristic, complemented
936#388C22×C1711yescharacteristic, complemented
937#387C22×C1711yescharacteristic, complemented
938#387C22×C1711yescharacteristic, complemented
939#387C22×C1711yescharacteristic, complemented
940#387C22×C1711yescharacteristic, complemented
941#387C22×C1711yescharacteristic, complemented
942#387C22×C1711yescharacteristic, complemented
943#387C22×C1711yescharacteristic, complemented
944#387C22×C1711yescharacteristic, complemented
945#387C22×C1711yescharacteristic, complemented
946#387C22×C1711yescharacteristic, complemented
947#386C22×C1711yescharacteristic
948#386C22×C1711yescharacteristic
949#386C22×C1711yescharacteristic
950#386C22×C1711yescharacteristic
951#386C22×C1711yescharacteristic
952#386C22×C1711yescharacteristic
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, complemented
962#386C22×C1711yescharacteristic, complemented
963#386C22×C1711yescharacteristic, complemented
964#386C22×C1711yescharacteristic, complemented
965#386C22×C1711yescharacteristic, complemented
966#386C22×C1711yescharacteristic, complemented
967#386C22×C1711yescharacteristic, complemented
968#386C22×C1711yescharacteristic, complemented
969#385C22×C1711yescharacteristic
970#385C22×C1711yescharacteristic
971#385C22×C1711yescharacteristic
972#385C22×C1711yescharacteristic
973#385C22×C1711yescharacteristic, complemented
974#385C22×C1711yescharacteristic, complemented
975#385C22×C1711yescharacteristic, complemented
976#385C22×C1711yescharacteristic, complemented
977#383C22×C1711yescharacteristic, complemented
978#381C22×C1711yescharacteristic, complemented
979#381C22×C1711yescharacteristic, complemented
980#381C22×C1711yescharacteristic, complemented
981#380C22×C1711yescharacteristic
982#380C22×C1711yescharacteristic, complemented
983#380C22×C1711yescharacteristic, complemented
984#379C22×C1711yescharacteristic
985#379C22×C1711yescharacteristic
986C4×C4⋊C4C22×C1711yescharacteristic, complemented
987C4×C4⋊C4C22×C1711yescharacteristic, complemented
988C4×C4⋊C4C22×C1711yescharacteristic, complemented
989C4×C4⋊C4C22×C1711yescharacteristic, complemented
990C4×C4⋊C4C22×C1711yescharacteristic, complemented
991C4×C22⋊C4C22×C1711yescharacteristic
992C4×C22⋊C4C22×C1711yescharacteristic
993C4×C22⋊C4C22×C1711yescharacteristic
994C4×C22⋊C4C22×C1711yescharacteristic
995C4×C22⋊C4C22×C1711yescharacteristic
996C4×C22⋊C4C22×C1711yescharacteristic
997C4×C22⋊C4C22×C1711yescharacteristic
998C4×C22⋊C4C22×C1711yescharacteristic
999C4×C22⋊C4C22×C1711yescharacteristic
1000C4×C22⋊C4C22×C1711yescharacteristic, complemented
1001C4×C22⋊C4C22×C1711yescharacteristic, complemented
1002C4×C22⋊C4C22×C1711yescharacteristic, complemented
1003C4×C22⋊C4C22×C1711yescharacteristic, complemented
1004C4×C22⋊C4C22×C1711yescharacteristic, complemented
1005C4×C22⋊C4C22×C1711yescharacteristic, complemented
1006C4×C22⋊C4C22×C1711yescharacteristic, complemented
1007C4×C22⋊C4C22×C1711yescharacteristic, complemented
1008C4×C22⋊C4C22×C1711yescharacteristic, complemented
1009C4×C22⋊C4C22×C1711yescharacteristic, complemented
1010C4×C22⋊C4C22×C1711yescharacteristic, complemented
1011C4×C22⋊C4C22×C1711yescharacteristic, complemented
1012C4×C22⋊C4C22×C1711yescharacteristic, complemented
1013C4×C22⋊C4C22×C1711yescharacteristic, complemented
1014C4×C22⋊C4C22×C1711yescharacteristic, complemented
1015C4×C22⋊C4C22×C1711yescharacteristic, complemented
1016C4×C22⋊C4C22×C1711yescharacteristic, complemented
1017C4×C22⋊C4C22×C1711yescharacteristic, complemented
1018C4×C22⋊C4C22×C1711yescharacteristic, complemented
1019C4×C22⋊C4C22×C1711yescharacteristic, complemented
1020C4×C22⋊C4C22×C1711yescharacteristic, complemented
1021C4×C22⋊C4C22×C1711yescharacteristic, complemented
1022#376C22×C1711yescharacteristic, complemented
1023#376C22×C1711yescharacteristic, complemented
1024C2×#95C22×C1711yescharacteristic
1025C2×#95C22×C1711yescharacteristic
1026C2×#95C22×C1711yescharacteristic, complemented
1027C2×#95C22×C1711yescharacteristic, complemented
1028C2×#95C22×C1711yescharacteristic, complemented
1029C2×C17—24no—
1030C2×C17—24no—
1031C2×C17—42no—
1032C2×C17—42no—
1033C2×C17—42no—
1034C2×C17—42no—
1035C2×C17C2×C4×#4111yescharacteristic
1036C2×C17C2×#51811yescharacteristic
1037C2×C17C4×H(5,𝔽2)11yescharacteristic
1038C2×C17#349011yescharacteristic
1039C2×C17#349411yescharacteristic
1040C2×C17#351311yescharacteristic
1041C2×C17#351911yescharacteristic
1042C25C23×C1711yescharacteristic
1043C25C23×C1711yescharacteristic
1044C2×#41—42no—
1045C2×#41—42no—
1046C2×#41C2×C4×C1718yescomplemented
1047C22×Q8C23×C1711yescharacteristic
1048C22×D4—42no—
1049C22×D4—42no—
1050C22×D4C2×C4×C1718yescomplemented
1051C22×D4C23×C1711yescharacteristic
1052C22×D4C23×C1711yescharacteristic
1053C22×D4C23×C1711yescharacteristic
1054C22×D4C23×C1711yescharacteristic
1055C22×D4C23×C1711yescharacteristic
1056C22×D4C23×C1711yescharacteristic
1057C22×D4C23×C1711yescharacteristic
1058C22×D4C23×C1711yescharacteristic
1059C22×D4C23×C1711yescharacteristic
1060C23×C4—24no—
1061C23×C4—42no—
1062C23×C4—42no—
1063C23×C4C23×C1711yescharacteristic
1064C23×C4C23×C1711yescharacteristic
1065C23×C4C23×C1711yescharacteristic
1066C23×C4C23×C1711yescharacteristic
1067C23×C4C23×C1711yescharacteristic
1068C23×C4C23×C1711yescharacteristic
1069C23×C4C23×C1711yescharacteristic
1070C23×C4C23×C1711yescharacteristic
1071C23×C4C23×C1711yescharacteristic
1072C23×C4C23×C1711yescharacteristic
1073C23×C4C23×C1711yescharacteristic
1074C23×C4C23×C1711yescharacteristic
1075C23×C4C23×C1711yescharacteristic
1076C23×C4C23×C1711yescharacteristic
1077C23×C4C23×C1711yescharacteristic
1078C23×C4C23×C1711yescharacteristic
1079C23×C4C23×C1711yescharacteristic
1080C23×C4C23×C1711yescharacteristic
1081C23×C4C23×C1711yescharacteristic
1082C23×C4C23×C1711yescharacteristic
1083#124C2×C4×C1718yescomplemented
1084#123C2×C4×C1718yescomplemented
1085#123C2×C4×C1718yescomplemented
1086C22⋊Q8C2×C4×C1718yescomplemented
1087#121C2×C4×C1718yescomplemented
1088#121C2×C4×C1718yescomplemented
1089#121C2×C4×C1718yescomplemented
1090#120C2×C4×C1718yescomplemented
1091#120C2×C4×C1718yescomplemented
1092C4×D4—24no—
1093C4×D4—24no—
1094C4×D4—42no—
1095C4×D4—42no—
1096C4×D4—42no—
1097C4×D4—42no—
1098C4×D4—42no—
1099C4×D4—42no—
1100C4×D4C2×C4×C1718yescomplemented
1101C4×D4C2×C4×C1718yescomplemented
1102#117—42no—
1103#117—42no—
1104C2×C4⋊C4C23×C1711yescharacteristic
1105C2×C4⋊C4C23×C1711yescharacteristic
1106C2×C4⋊C4C23×C1711yescharacteristic
1107C2×C4⋊C4C23×C1711yescharacteristic
1108C2×C4⋊C4C23×C1711yescharacteristic
1109C2×C4⋊C4C23×C1711yescharacteristic
1110C2×C4⋊C4C23×C1711yescharacteristic
1111C2×C4⋊C4C23×C1711yescharacteristic
1112C2×C4⋊C4C23×C1711yescharacteristic
1113C2×C4⋊C4C23×C1711yescharacteristic
1114C2×C4⋊C4C23×C1711yescharacteristic
1115C2×C4⋊C4C23×C1711yescharacteristic
1116C2×C4⋊C4C23×C1711yescharacteristic
1117C2×C4⋊C4C23×C1711yescharacteristic
1118C2×C4⋊C4C23×C1711yescharacteristic
1119C2×C4⋊C4C23×C1711yescharacteristic
1120C2×C22⋊C4—24no—
1121C2×C22⋊C4—24no—
1122C2×C22⋊C4—24no—
1123C2×C22⋊C4—42no—
1124C2×C22⋊C4—42no—
1125C2×C22⋊C4C2×C4×C1718yescomplemented
1126C2×C22⋊C4C2×C4×C1718yescomplemented
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×C22⋊C4C23×C1711yescharacteristic
1160C2×C22⋊C4C23×C1711yescharacteristic
1161C2×C22⋊C4C23×C1711yescharacteristic
1162C2×C22⋊C4C23×C1711yescharacteristic
1163C2×C22⋊C4C23×C1711yescharacteristic
1164C2×C22⋊C4C23×C1711yescharacteristic
1165C2×C22⋊C4C23×C1711yescharacteristic
1166C2×C22⋊C4C23×C1711yescharacteristic
1167C2×C22⋊C4C23×C1711yescharacteristic
1168C2×C22⋊C4C23×C1711yescharacteristic
1169C2×C22⋊C4C23×C1711yescharacteristic
1170C2×C22⋊C4C23×C1711yescharacteristic
1171C2×C22⋊C4C23×C1711yescharacteristic
1172C2×C22⋊C4C23×C1711yescharacteristic
1173C2×C42—42no—
1174C2×C42—42no—
1175C2×C42C23×C1711yescharacteristic
1176C2×C42C23×C1711yescharacteristic
1177C2×C42C23×C1711yescharacteristic
1178C2×C42C23×C1711yescharacteristic
1179C2×C42C23×C1711yescharacteristic
1180C2×C42C23×C1711yescharacteristic
1181C2×C42C23×C1711yescharacteristic
1182C2×C42C23×C1711yescharacteristic
1183C2×C42C23×C1711yescharacteristic
1184C2×C42C23×C1711yescharacteristic
1185C2×C42C23×C1711yescharacteristic
1186C2×C42C23×C1711yescharacteristic
1187C2×C42C23×C1711yescharacteristic
1188C2×C42C23×C1711yescharacteristic
1189C2×C42C23×C1711yescharacteristic
1190C2×C42C23×C1711yescharacteristic
1191C2×C42C23×C1711yescharacteristic
1192C2×C42C23×C1711yescharacteristic
1193C2×C42C23×C1711yescharacteristic
1194C2×C42C23×C1711yescharacteristic
1195C2×C42C23×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
1205#95C23×C1711yescharacteristic
1206#95C23×C1711yescharacteristic
1207#95C23×C1711yescharacteristic
1208#95C23×C1711yescharacteristic
1209#95C23×C1711yescharacteristic
1210#95C23×C1711yescharacteristic
1211#95C23×C1711yescharacteristic
1212#95C23×C1711yescharacteristic
1213#95C23×C1711yescharacteristic
1214#95C23×C1711yescharacteristic
1215#95C23×C1711yescharacteristic
1216#95C23×C1711yescharacteristic
1217#95C23×C1711yescharacteristic
1218#95C23×C1711yescharacteristic
1219#95C23×C1711yescharacteristic
1220#95C23×C1711yescharacteristic
1221#95C23×C1711yescharacteristic
1222#95C23×C1711yescharacteristic
1223#95C23×C1711yescharacteristic
1224#95C23×C1711yescharacteristic
1225#95C23×C1711yescharacteristic
1226#95C23×C1711yescharacteristic
1227#95C23×C1711yescharacteristic
1228#95C23×C1711yescharacteristic
1229#95C23×C1711yescharacteristic
1230#95C23×C1711yescharacteristic
1231#95C23×C1711yescharacteristic
1232#95C23×C1711yescharacteristic
1233#95C23×C1711yescharacteristic
1234#95C23×C1711yescharacteristic
1235#95C23×C1711yescharacteristic
1236C17#3430211yescharacteristic, direct product factor, Sylow
1237C24—22no—
1238C24—22no—
1239C24—22no—
1240C24—22no—
1241C24—22no—
1242C24—22no—
1243C24—41no—
1244C24—41no—
1245C24—41no—
1246C24—41no—
1247C24—41no—
1248C24—41no—
1249C24C22×C4×C1714yes—
1250C24C22×C4×C1714yes—
1251C24C24×C1711yescharacteristic
1252C24C24×C1711yescharacteristic
1253C24C24×C1711yescharacteristic
1254C24C24×C1711yescharacteristic
1255C24C24×C1711yescharacteristic
1256C24C24×C1711yescharacteristic
1257#41—416no—
1258C2×Q8—41no—
1259C2×Q8—41no—
1260C2×Q8C22×C4×C1714yescomplemented
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—416no—
1280C2×D4C22×C4×C1714yes—
1281C2×D4C22×C4×C1714yes—
1282C2×D4C22×C4×C1714yes—
1283C2×D4C22×C4×C1714yes—
1284C2×D4C22×C4×C1714yes—
1285C2×D4C22×C4×C1714yes—
1286C2×D4C22×C4×C1714yes—
1287C2×D4C22×C4×C1714yescomplemented
1288C2×D4C22×C4×C1714yescomplemented
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—416no—
1343C22×C4C22×C4×C1714yes—
1344C22×C4C22×C4×C1714yes—
1345C22×C4C22×C4×C1714yes—
1346C22×C4C22×C4×C1714yescomplemented
1347C22×C4C22×C4×C1714yescomplemented
1348C22×C4C22×C4×C1714yescomplemented
1349C22×C4#41×C1714yescomplemented
1350C22×C4C24×C1711yescharacteristic
1351C22×C4C24×C1711yescharacteristic
1352C22×C4C24×C1711yescharacteristic
1353C22×C4C24×C1711yescharacteristic
1354C22×C4C24×C1711yescharacteristic
1355C22×C4C24×C1711yescharacteristic
1356C22×C4C24×C1711yescharacteristic
1357C22×C4C24×C1711yescharacteristic
1358C22×C4C24×C1711yescharacteristic
1359C22×C4C24×C1711yescharacteristic
1360C22×C4C24×C1711yescharacteristic
1361C22×C4C24×C1711yescharacteristic
1362C22×C4C24×C1711yescharacteristic
1363C22×C4C24×C1711yescharacteristic
1364C22×C4C24×C1711yescharacteristic
1365C22×C4C24×C1711yescharacteristic
1366C22×C4C24×C1711yescharacteristic
1367C22×C4C24×C1711yescharacteristic
1368C22×C4C24×C1711yescharacteristic
1369C22×C4C24×C1711yescharacteristic
1370C22×C4C24×C1711yescharacteristic
1371C22×C4C24×C1711yescharacteristic
1372C22×C4C24×C1711yescharacteristic
1373C22×C4C24×C1711yescharacteristic
1374C22×C4C24×C1711yescharacteristic
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—41no—
1379C4⋊C4—41no—
1380C4⋊C4—41no—
1381C4⋊C4—41no—
1382C4⋊C4—41no—
1383C4⋊C4—41no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4C22×C4×C1714yescomplemented
1388C4⋊C4C22×C4×C1714yescomplemented
1389C4⋊C4C22×C4×C1714yescomplemented
1390C4⋊C4C22×C4×C1714yescomplemented
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4C22×C4×C1714yes—
1425C22⋊C4C22×C4×C1714yes—
1426C22⋊C4C22×C4×C1714yes—
1427C22⋊C4C22×C4×C1714yes—
1428C22⋊C4C22×C4×C1714yes—
1429C22⋊C4C22×C4×C1714yes—
1430C22⋊C4C22×C4×C1714yes—
1431C22⋊C4C22×C4×C1714yescomplemented
1432C22⋊C4C22×C4×C1714yescomplemented
1433C22⋊C4C22×C4×C1714yescomplemented
1434C22⋊C4C22×C4×C1714yescomplemented
1435C22⋊C4C22×C4×C1714yescomplemented
1436C22⋊C4#41×C1714yescomplemented
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—41no—
1442C42—41no—
1443C42—41no—
1444C42—41no—
1445C42—41no—
1446C42—41no—
1447C42—41no—
1448C42—41no—
1449C42—41no—
1450C42—41no—
1451C42—41no—
1452C42—41no—
1453C42—41no—
1454C42—41no—
1455C42—41no—
1456C42—41no—
1457C42C22×C4×C1714yescomplemented
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—28no—
1467C23—28no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—28no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—82no—
1501C23—82no—
1502C23—82no—
1503C23—82no—
1504C23C23×C4×C1712yes—
1505C23C23×C4×C1712yes—
1506C23C23×C4×C1712yes—
1507C23C23×C4×C1712yes—
1508C23C23×C4×C1712yes—
1509C23C23×C4×C1712yes—
1510C23C2×#41×C1712yes—
1511C23C2×#41×C1712yes—
1512C23C17×H(5,𝔽2)12yes—
1513C23C17×H(5,𝔽2)12yes—
1514C23C25×C1711yescharacteristic
1515Q8—44no—
1516D4—28no—
1517D4—28no—
1518D4—28no—
1519D4—28no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—44no—
1525C2×C4—28no—
1526C2×C4—28no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—82no—
1601C2×C4—82no—
1602C2×C4—82no—
1603C2×C4—82no—
1604C2×C4—82no—
1605C2×C4—82no—
1606C2×C4C23×C4×C1712yes—
1607C2×C4C23×C4×C1712yes—
1608C2×C4C23×C4×C1712yes—
1609C2×C4C23×C4×C1712yes—
1610C2×C4C23×C4×C1712yes—
1611C2×C4C23×C4×C1712yes—
1612C2×C4C23×C4×C1712yes—
1613C2×C4C23×C4×C1712yes—
1614C2×C4C23×C4×C1712yes—
1615C2×C4C2×#41×C1712yes—
1616C2×C4C2×#41×C1712yes—
1617C2×C4C2×#41×C1712yes—
1618C2×C4C2×#41×C1712yes—
1619C2×C4C17×H(5,𝔽2)12yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—416no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—88no—
1662C22C4×#41×C1714yes—
1663C22C17×#51814yes—
1664C22C24×C4×C1711yescharacteristic
1665C22C22×#41×C1711yescharacteristic
1666C22C22×#41×C1711yescharacteristic
1667C22C2×C17×H(5,𝔽2)11yescharacteristic
1668C22C2×C17×H(5,𝔽2)11yescharacteristic
1669C22C2×C17×H(5,𝔽2)11yescharacteristic
1670C22C17×#58511yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C2—24no—
1697C2—24no—
1698C2—42no—
1699C2—42no—
1700C2—42no—
1701C2—42no—
1702C2C2×C4×#41×C1711yescharacteristic
1703C2C2×C17×#51811yescharacteristic
1704C2C4×C17×H(5,𝔽2)11yescharacteristic
1705C2C17×#349011yescharacteristic
1706C2C17×#349411yescharacteristic
1707C2C17×#351311yescharacteristic
1708C2C17×#351911yescharacteristic
subgroupG/H
center, socleC23×C17C25
commutatorC22C24×C4×C17
Frattini, cosocleC23C25×C17
prime radicalC2×C17×#546C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C17 ◁ G

Complements

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

NH ≅ G/Ntype
2. C17×#2374C2semidirect
3. C17×#2372C2semidirect
4. C17×#2368C2semidirect
5. C17×#2364C2semidirect
6. C17×#2364C2semidirect
7. C17×#2363C2semidirect
8. C17×#2359C2semidirect
9. C17×#2358C2semidirect
10. C17×#2358C2semidirect
11. C17×#2353C2semidirect
12. C17×#2353C2semidirect
13. C17×#2342C2semidirect
14. C17×#2342C2semidirect
15. C17×#2339C2semidirect
16. D4×C22⋊C4×C17C2semidirect
17. C17×#2337C2semidirect
18. C17×#2335C2semidirect
19. C17×#2333C2semidirect
20. C17×#2333C2semidirect
21. C17×#2329C2semidirect
22. C17×#2321C2semidirect
23. C4×C17×#123C2semidirect
24. C4×C17×#121C2semidirect
25. C4×C17×#120C2semidirect
26. C17×#2297C2semidirect
27. C17×#2290C2semidirect
28. C2×C17×#386C2semidirect
29. C17×#2275C2semidirect
30. C17×#2273C2semidirect
31. C2×C4×C22⋊C4×C17C2semidirect
35. C17×#546C4semidirect
51. C2×C4×D4×C17C22semidirect
52. C2×C4×D4×C17C22semidirect
53. C2×C4×D4×C17C22semidirect
54. C2×C4×D4×C17C22semidirect
55. C2×C17×#117C22semidirect
56. C2×C17×#117C22semidirect
64. C22×C42×C17C22semidirect
65. C22×C42×C17C22semidirect
66. C17×#391C22semidirect
67. C17×#391C22semidirect
68. C17×#391C22semidirect
69. C17×#391C22semidirect
72. C17×#390C22semidirect
73. C17×#390C22semidirect
74. C17×#390C22semidirect
75. C17×#390C22semidirect
76. C17×#389C22semidirect
77. C17×#389C22semidirect
78. C17×#388C22semidirect
79. C17×#388C22semidirect
80. C17×#388C22semidirect
81. C17×#388C22semidirect
82. C17×#388C22semidirect
83. C17×#388C22semidirect
84. C17×#388C22semidirect
85. C17×#388C22semidirect
86. C17×#388C22semidirect
87. C17×#388C22semidirect
88. C17×#388C22semidirect
89. C17×#388C22semidirect
90. C17×#388C22semidirect
91. C17×#388C22semidirect
92. C17×#388C22semidirect
93. C17×#388C22semidirect
94. C17×#388C22semidirect
95. C17×#388C22semidirect
96. C17×#387C22semidirect
97. C17×#387C22semidirect
98. C17×#387C22semidirect
99. C17×#387C22semidirect
100. C17×#387C22semidirect
101. C17×#387C22semidirect
102. C17×#387C22semidirect
103. C17×#387C22semidirect
104. C17×#387C22semidirect
105. C17×#387C22semidirect
120. C17×#386C22semidirect
121. C17×#386C22semidirect
122. C17×#386C22semidirect
123. C17×#386C22semidirect
124. C17×#386C22semidirect
125. C17×#386C22semidirect
126. C17×#386C22semidirect
127. C17×#386C22semidirect
132. C17×#385C22semidirect
133. C17×#385C22semidirect
134. C17×#385C22semidirect
135. C17×#385C22semidirect
136. C17×#383C22semidirect
137. C17×#381C22semidirect
138. C17×#381C22semidirect
139. C17×#381C22semidirect
141. C17×#380C22semidirect
142. C17×#380C22semidirect
145. C4×C4⋊C4×C17C22semidirect
146. C4×C4⋊C4×C17C22semidirect
147. C4×C4⋊C4×C17C22semidirect
148. C4×C4⋊C4×C17C22semidirect
149. C4×C4⋊C4×C17C22semidirect
159. C4×C22⋊C4×C17C22semidirect
160. C4×C22⋊C4×C17C22semidirect
161. C4×C22⋊C4×C17C22semidirect
162. C4×C22⋊C4×C17C22semidirect
163. C4×C22⋊C4×C17C22semidirect
164. C4×C22⋊C4×C17C22semidirect
165. C4×C22⋊C4×C17C22semidirect
166. C4×C22⋊C4×C17C22semidirect
167. C4×C22⋊C4×C17C22semidirect
168. C4×C22⋊C4×C17C22semidirect
169. C4×C22⋊C4×C17C22semidirect
170. C4×C22⋊C4×C17C22semidirect
171. C4×C22⋊C4×C17C22semidirect
172. C4×C22⋊C4×C17C22semidirect
173. C4×C22⋊C4×C17C22semidirect
174. C4×C22⋊C4×C17C22semidirect
175. C4×C22⋊C4×C17C22semidirect
176. C4×C22⋊C4×C17C22semidirect
177. C4×C22⋊C4×C17C22semidirect
178. C4×C22⋊C4×C17C22semidirect
179. C4×C22⋊C4×C17C22semidirect
180. C4×C22⋊C4×C17C22semidirect
181. C17×#376C22semidirect
182. C17×#376C22semidirect
185. C2×C17×#95C22semidirect
186. C2×C17×#95C22semidirect
187. C2×C17×#95C22semidirect
192. C2×#41×C17C2×C4semidirect
196. C22×D4×C17C2×C4semidirect
229. C17×#124C2×C4semidirect
230. C17×#123C2×C4semidirect
231. C17×#123C2×C4semidirect
232. C17×C22⋊Q8C2×C4semidirect
233. C17×#121C2×C4semidirect
234. C17×#121C2×C4semidirect
235. C17×#121C2×C4semidirect
236. C17×#120C2×C4semidirect
237. C17×#120C2×C4semidirect
246. C4×D4×C17C2×C4semidirect
247. C4×D4×C17C2×C4semidirect
271. C2×C22⋊C4×C17C2×C4semidirect
272. C2×C22⋊C4×C17C2×C4semidirect
405. C2×Q8×C17C22×C4semidirect
432. C2×D4×C17C22×C4semidirect
433. C2×D4×C17C22×C4semidirect
491. C22×C4×C17C22×C4semidirect
492. C22×C4×C17C22×C4semidirect
493. C22×C4×C17C22×C4semidirect
494. C22×C4×C17#41semidirect
532. C4⋊C4×C17C22×C4semidirect
533. C4⋊C4×C17C22×C4semidirect
534. C4⋊C4×C17C22×C4semidirect
535. C4⋊C4×C17C22×C4semidirect
576. C22⋊C4×C17C22×C4semidirect
577. C22⋊C4×C17C22×C4semidirect
578. C22⋊C4×C17C22×C4semidirect
579. C22⋊C4×C17C22×C4semidirect
580. C22⋊C4×C17C22×C4semidirect
581. C22⋊C4×C17#41semidirect
602. C42×C17C22×C4semidirect
603. #34302C17direct (N × H)
767. #2374C2×C17semidirect
768. #2372C2×C17semidirect
769. #2368C2×C17semidirect
770. #2364C2×C17semidirect
771. #2364C2×C17semidirect
772. #2363C2×C17semidirect
773. #2359C2×C17semidirect
774. #2358C2×C17semidirect
775. #2358C2×C17semidirect
776. #2353C2×C17semidirect
777. #2353C2×C17semidirect
778. #2342C2×C17semidirect
779. #2342C2×C17semidirect
780. #2339C2×C17semidirect
781. D4×C22⋊C4C2×C17semidirect
782. #2337C2×C17semidirect
783. #2335C2×C17semidirect
784. #2333C2×C17semidirect
785. #2333C2×C17semidirect
786. #2329C2×C17semidirect
787. #2321C2×C17semidirect
788. C4×#123C2×C17semidirect
789. C4×#121C2×C17semidirect
790. C4×#120C2×C17semidirect
791. #2297C2×C17semidirect
792. #2290C2×C17semidirect
793. C2×#386C2×C17semidirect
794. #2275C2×C17semidirect
795. #2273C2×C17semidirect
796. C2×C4×C22⋊C4C2×C17semidirect
876. #546C4×C17semidirect
892. C2×C4×D4C22×C17semidirect
893. C2×C4×D4C22×C17semidirect
894. C2×C4×D4C22×C17semidirect
895. C2×C4×D4C22×C17semidirect
896. C2×#117C22×C17semidirect
897. C2×#117C22×C17semidirect
905. C22×C42C22×C17semidirect
906. C22×C42C22×C17semidirect
907. #391C22×C17semidirect
908. #391C22×C17semidirect
909. #391C22×C17semidirect
910. #391C22×C17semidirect
913. #390C22×C17semidirect
914. #390C22×C17semidirect
915. #390C22×C17semidirect
916. #390C22×C17semidirect
917. #389C22×C17semidirect
918. #389C22×C17semidirect
919. #388C22×C17semidirect
920. #388C22×C17semidirect
921. #388C22×C17semidirect
922. #388C22×C17semidirect
923. #388C22×C17semidirect
924. #388C22×C17semidirect
925. #388C22×C17semidirect
926. #388C22×C17semidirect
927. #388C22×C17semidirect
928. #388C22×C17semidirect
929. #388C22×C17semidirect
930. #388C22×C17semidirect
931. #388C22×C17semidirect
932. #388C22×C17semidirect
933. #388C22×C17semidirect
934. #388C22×C17semidirect
935. #388C22×C17semidirect
936. #388C22×C17semidirect
937. #387C22×C17semidirect
938. #387C22×C17semidirect
939. #387C22×C17semidirect
940. #387C22×C17semidirect
941. #387C22×C17semidirect
942. #387C22×C17semidirect
943. #387C22×C17semidirect
944. #387C22×C17semidirect
945. #387C22×C17semidirect
946. #387C22×C17semidirect
961. #386C22×C17semidirect
962. #386C22×C17semidirect
963. #386C22×C17semidirect
964. #386C22×C17semidirect
965. #386C22×C17semidirect
966. #386C22×C17semidirect
967. #386C22×C17semidirect
968. #386C22×C17semidirect
973. #385C22×C17semidirect
974. #385C22×C17semidirect
975. #385C22×C17semidirect
976. #385C22×C17semidirect
977. #383C22×C17semidirect
978. #381C22×C17semidirect
979. #381C22×C17semidirect
980. #381C22×C17semidirect
982. #380C22×C17semidirect
983. #380C22×C17semidirect
986. C4×C4⋊C4C22×C17semidirect
987. C4×C4⋊C4C22×C17semidirect
988. C4×C4⋊C4C22×C17semidirect
989. C4×C4⋊C4C22×C17semidirect
990. C4×C4⋊C4C22×C17semidirect
1000. C4×C22⋊C4C22×C17semidirect
1001. C4×C22⋊C4C22×C17semidirect
1002. C4×C22⋊C4C22×C17semidirect
1003. C4×C22⋊C4C22×C17semidirect
1004. C4×C22⋊C4C22×C17semidirect
1005. C4×C22⋊C4C22×C17semidirect
1006. C4×C22⋊C4C22×C17semidirect
1007. C4×C22⋊C4C22×C17semidirect
1008. C4×C22⋊C4C22×C17semidirect
1009. C4×C22⋊C4C22×C17semidirect
1010. C4×C22⋊C4C22×C17semidirect
1011. C4×C22⋊C4C22×C17semidirect
1012. C4×C22⋊C4C22×C17semidirect
1013. C4×C22⋊C4C22×C17semidirect
1014. C4×C22⋊C4C22×C17semidirect
1015. C4×C22⋊C4C22×C17semidirect
1016. C4×C22⋊C4C22×C17semidirect
1017. C4×C22⋊C4C22×C17semidirect
1018. C4×C22⋊C4C22×C17semidirect
1019. C4×C22⋊C4C22×C17semidirect
1020. C4×C22⋊C4C22×C17semidirect
1021. C4×C22⋊C4C22×C17semidirect
1022. #376C22×C17semidirect
1023. #376C22×C17semidirect
1026. C2×#95C22×C17semidirect
1027. C2×#95C22×C17semidirect
1028. C2×#95C22×C17semidirect
1046. C2×#41C2×C4×C17semidirect
1050. C22×D4C2×C4×C17semidirect
1083. #124C2×C4×C17semidirect
1084. #123C2×C4×C17semidirect
1085. #123C2×C4×C17semidirect
1086. C22⋊Q8C2×C4×C17semidirect
1087. #121C2×C4×C17semidirect
1088. #121C2×C4×C17semidirect
1089. #121C2×C4×C17semidirect
1090. #120C2×C4×C17semidirect
1091. #120C2×C4×C17semidirect
1100. C4×D4C2×C4×C17semidirect
1101. C4×D4C2×C4×C17semidirect
1125. C2×C22⋊C4C2×C4×C17semidirect
1126. C2×C22⋊C4C2×C4×C17semidirect
1236. C17#34302direct (N × H)
1260. C2×Q8C22×C4×C17semidirect
1287. C2×D4C22×C4×C17semidirect
1288. C2×D4C22×C4×C17semidirect
1346. C22×C4C22×C4×C17semidirect
1347. C22×C4C22×C4×C17semidirect
1348. C22×C4C22×C4×C17semidirect
1349. C22×C4#41×C17semidirect
1387. C4⋊C4C22×C4×C17semidirect
1388. C4⋊C4C22×C4×C17semidirect
1389. C4⋊C4C22×C4×C17semidirect
1390. C4⋊C4C22×C4×C17semidirect
1431. C22⋊C4C22×C4×C17semidirect
1432. C22⋊C4C22×C4×C17semidirect
1433. C22⋊C4C22×C4×C17semidirect
1434. C22⋊C4C22×C4×C17semidirect
1435. C22⋊C4C22×C4×C17semidirect
1436. C22⋊C4#41×C17semidirect
1457. C42C22×C4×C17semidirect

Maximal subgroups

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

subgroupindex
C2×C17×#5462
C17×#23742
C17×#23722
C17×#23682
C17×#23642
C17×#23632
C17×#23592
C17×#23582
C17×#23532
C17×#23422
C17×#23392
D4×C22⋊C4×C172
C17×#23372
C17×#23352
C17×#23332
C17×#23292
C17×#23212
C4×C17×#1232
C4×C17×#1212
C4×C17×#1202
C17×#22972
C17×#22902
C2×C17×#3862
C17×#22752
C17×#22732
C2×C4×C22⋊C4×C172
#3430217