Finite Group Databasebeta

← C17×#36886 #16894630

Subgroups — C17×#36886 #16894630

Order 4352.

2136 conjugacy classes of subgroups.

The subgroup lattice has 1680 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×#2796C211yesmaximal, characteristic, complemented
4C17×#2786C211yesmaximal, characteristic, complemented
5C17×#2784C211yesmaximal, characteristic, complemented
6C17×#2778C211yesmaximal, characteristic, complemented
7C17×#2746C211yesmaximal, characteristic, complemented
8C17×#2711C211yesmaximal, characteristic, complemented
9C17×#2694C211yesmaximal, characteristic, complemented
10C17×#2691C211yesmaximal, characteristic, complemented
11C17×#2686C211yesmaximal, characteristic, complemented
12C17×#2685C211yesmaximal, characteristic, complemented
13C17×#2684C211yesmaximal, characteristic, complemented
14C17×#2679C211yesmaximal, characteristic, complemented
15C17×#2678C211yesmaximal, characteristic, complemented
16C17×#2670C211yesmaximal, characteristic, complemented
17C17×#2668C211yesmaximal, characteristic, complemented
18C17×#2668C211yesmaximal, characteristic, complemented
19C17×#2653C211yesmaximal, characteristic, complemented
20C17×#2648C211yesmaximal, characteristic, complemented
21C17×#2521C211yesmaximal, characteristic, complemented
22C17×#2516C211yesmaximal, characteristic, complemented
23C17×#2476C211yesmaximal, characteristic, complemented
24C17×#2471C211yesmaximal, characteristic, complemented
25C17×#2460C211yesmaximal, characteristic, complemented
26C17×#2459C211yesmaximal, characteristic, complemented
27C17×#2424C211yesmaximal, characteristic, complemented
28C17×#2418C211yesmaximal, characteristic, complemented
29C17×#2324C211yesmaximal, characteristic, complemented
30C17×#2321C211yesmaximal, characteristic, complemented
31C4×C17×#120C211yesmaximal, characteristic, complemented
32C24×C4×C17C2211yescharacteristic, complemented
33C2×C17×#126C2211yescharacteristic, complemented
34C2×C17×#125C2211yescharacteristic, complemented
35C2×C17×#124C2211yescharacteristic
36C2×C17×#124C2211yescharacteristic, complemented
37C2×C17×#123C2211yescharacteristic
38C2×C17×#123C2211yescharacteristic
39C2×C17×#121C2211yescharacteristic
40C2×C17×#121C2211yescharacteristic
41C2×C17×#121C2211yescharacteristic
42C2×C17×#121C2211yescharacteristic
43C2×C17×#121C2211yescharacteristic
44C2×C17×#120C2211yescharacteristic
45C2×C17×#120C2211yescharacteristic
46C2×C17×#120C2211yescharacteristic
47C2×C17×#120C2211yescharacteristic
48C2×C17×#120C2211yescharacteristic
49C2×C17×#120C2211yescharacteristic
50C2×C17×#120C2211yescharacteristic, complemented
51C2×C17×#120C2211yescharacteristic, complemented
52C2×C4×D4×C17C2211yescharacteristic
53C2×C4×D4×C17C2211yescharacteristic
54C2×C4×D4×C17C2211yescharacteristic
55C2×C17×#117C2211yescharacteristic, complemented
56C22×C22⋊C4×C17C2211yescharacteristic, complemented
57C17×#401C2211yescharacteristic, complemented
58C17×#400C2211yescharacteristic, complemented
59C17×#400C2211yescharacteristic, complemented
60C17×#399C2211yescharacteristic, complemented
61C17×#399C2211yescharacteristic, complemented
62C17×#399C2211yescharacteristic, complemented
63C17×#399C2211yescharacteristic, complemented
64C17×#398C2211yescharacteristic, complemented
65C17×#398C2211yescharacteristic, complemented
66C17×#397C2211yescharacteristic, complemented
67C17×#397C2211yescharacteristic, complemented
68C17×#397C2211yescharacteristic, complemented
69C17×#397C2211yescharacteristic, complemented
70C17×#397C2211yescharacteristic, complemented
71C17×#397C2211yescharacteristic, complemented
72C17×#397C2211yescharacteristic, complemented
73C17×#397C2211yescharacteristic, complemented
74C17×#397C2211yescharacteristic, complemented
75C17×#396C2211yescharacteristic, complemented
76C17×#396C2211yescharacteristic, complemented
77C17×#396C2211yescharacteristic, complemented
78C17×#396C2211yescharacteristic, complemented
79C17×#395C2211yescharacteristic, complemented
80C17×#394C2211yescharacteristic
81C17×#394C2211yescharacteristic
82C17×#394C2211yescharacteristic
83C17×#394C2211yescharacteristic
84C17×#394C2211yescharacteristic
85C17×#394C2211yescharacteristic
86C17×#394C2211yescharacteristic
87C17×#394C2211yescharacteristic
88C17×#394C2211yescharacteristic
89C17×#394C2211yescharacteristic
90C17×#394C2211yescharacteristic
91C17×#394C2211yescharacteristic
92C17×#394C2211yescharacteristic, complemented
93C17×#394C2211yescharacteristic, complemented
94C17×#394C2211yescharacteristic, complemented
95C17×#394C2211yescharacteristic, complemented
96C17×#394C2211yescharacteristic, complemented
97C17×#394C2211yescharacteristic, complemented
98C17×#393C2211yescharacteristic, complemented
99C17×#393C2211yescharacteristic, complemented
100C17×#393C2211yescharacteristic, complemented
101C17×#392C2211yescharacteristic
102C17×#392C2211yescharacteristic
103C17×#392C2211yescharacteristic
104C17×#392C2211yescharacteristic
105C17×#391C2211yescharacteristic, complemented
106C17×#390C2211yescharacteristic
107C17×#390C2211yescharacteristic
108C17×#390C2211yescharacteristic
109C17×#390C2211yescharacteristic
110C17×#390C2211yescharacteristic
111C17×#390C2211yescharacteristic
112C17×#390C2211yescharacteristic, complemented
113C17×#390C2211yescharacteristic, complemented
114C17×#390C2211yescharacteristic, complemented
115C17×#389C2211yescharacteristic, complemented
116C17×#388C2211yescharacteristic, complemented
117C17×#388C2211yescharacteristic, complemented
118C17×#388C2211yescharacteristic, complemented
119C17×#388C2211yescharacteristic, complemented
120C17×#388C2211yescharacteristic, complemented
121C17×#388C2211yescharacteristic, complemented
122C17×#388C2211yescharacteristic, complemented
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×#388C2211yescharacteristic, complemented
132C17×#388C2211yescharacteristic, complemented
133C17×#387C2211yescharacteristic, complemented
134C17×#387C2211yescharacteristic, complemented
135C17×#387C2211yescharacteristic, complemented
136C17×#387C2211yescharacteristic, complemented
137C17×#387C2211yescharacteristic, complemented
138C17×#387C2211yescharacteristic, complemented
139C17×#387C2211yescharacteristic, complemented
140C17×#387C2211yescharacteristic, complemented
141C17×#386C2211yescharacteristic
142C17×#386C2211yescharacteristic
143C17×#386C2211yescharacteristic
144C17×#386C2211yescharacteristic
145C17×#386C2211yescharacteristic
146C17×#386C2211yescharacteristic
147C17×#386C2211yescharacteristic
148C17×#386C2211yescharacteristic
149C17×#386C2211yescharacteristic
150C17×#386C2211yescharacteristic
151C17×#386C2211yescharacteristic
152C17×#386C2211yescharacteristic
153C17×#386C2211yescharacteristic, complemented
154C17×#386C2211yescharacteristic, complemented
155C17×#386C2211yescharacteristic, complemented
156C17×#386C2211yescharacteristic, complemented
157C17×#386C2211yescharacteristic, complemented
158C17×#386C2211yescharacteristic, complemented
159C17×#386C2211yescharacteristic, complemented
160C17×#386C2211yescharacteristic, complemented
161C17×#385C2211yescharacteristic, complemented
162C17×#385C2211yescharacteristic, complemented
163C17×#385C2211yescharacteristic, complemented
164C17×#385C2211yescharacteristic, complemented
165C17×#385C2211yescharacteristic, complemented
166C17×#385C2211yescharacteristic, complemented
167C17×#385C2211yescharacteristic, complemented
168C17×#385C2211yescharacteristic, complemented
169C17×#385C2211yescharacteristic, complemented
170C17×#385C2211yescharacteristic, complemented
171C17×#381C2211yescharacteristic, complemented
172C17×#381C2211yescharacteristic, complemented
173C17×#380C2211yescharacteristic, complemented
174C17×#380C2211yescharacteristic, complemented
175C17×#380C2211yescharacteristic, complemented
176C17×#380C2211yescharacteristic, complemented
177C17×#380C2211yescharacteristic, complemented
178C17×#379C2211yescharacteristic, complemented
179C17×#379C2211yescharacteristic, complemented
180C17×#379C2211yescharacteristic, complemented
181C17×#379C2211yescharacteristic, complemented
182C4×C4⋊C4×C17C2211yescharacteristic, complemented
183C4×C22⋊C4×C17C2211yescharacteristic, complemented
184C4×C22⋊C4×C17C2211yescharacteristic, complemented
185C4×C22⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic, complemented
187C25×C17C2311yescharacteristic
188C25×C17C2311yescharacteristic
189C22×Q8×C17C2311yescharacteristic
190C22×D4×C17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C22×D4×C17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C22×D4×C17C2311yescharacteristic
198C22×D4×C17C2311yescharacteristic
199C22×D4×C17C2311yescharacteristic
200C22×D4×C17C2311yescharacteristic
201C22×D4×C17C2311yescharacteristic
202C22×D4×C17C2311yescharacteristic
203C22×D4×C17C2311yescharacteristic
204C22×D4×C17C2311yescharacteristic
205C23×C4×C17—42no—
206C23×C4×C17—42no—
207C23×C4×C17—42no—
208C23×C4×C17C2311yescharacteristic
209C23×C4×C17C2311yescharacteristic
210C23×C4×C17C2311yescharacteristic
211C23×C4×C17C2311yescharacteristic
212C23×C4×C17C2311yescharacteristic
213C23×C4×C17C2311yescharacteristic
214C23×C4×C17C2311yescharacteristic
215C23×C4×C17C2311yescharacteristic
216C23×C4×C17C2311yescharacteristic
217C17×#126—42no—
218C17×#125—42no—
219C17×#124—42no—
220C17×#124—42no—
221C17×#123—42no—
222C17×#123—42no—
223C17×#121—24no—
224C17×#121—42no—
225C17×#121—42no—
226C17×#121—42no—
227C17×#121—42no—
228C17×#120—24no—
229C17×#120—24no—
230C17×#120—42no—
231C17×#120—42no—
232C17×#120—42no—
233C17×#120—42no—
234C17×#120—42no—
235C17×#120—42no—
236C4×D4×C17—42no—
237C4×D4×C17—42no—
238C4×D4×C17—42no—
239C17×#117—42no—
240C2×C4⋊C4×C17C2311yescharacteristic
241C2×C4⋊C4×C17C2311yescharacteristic
242C2×C4⋊C4×C17C2311yescharacteristic
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×C22⋊C4×C17—42no—
265C2×C22⋊C4×C17C2311yescharacteristic
266C2×C22⋊C4×C17C2311yescharacteristic
267C2×C22⋊C4×C17C2311yescharacteristic
268C2×C22⋊C4×C17C2311yescharacteristic
269C2×C22⋊C4×C17C2311yescharacteristic
270C2×C22⋊C4×C17C2311yescharacteristic
271C2×C22⋊C4×C17C2311yescharacteristic
272C2×C22⋊C4×C17C2311yescharacteristic
273C2×C22⋊C4×C17C2311yescharacteristic
274C2×C22⋊C4×C17C2311yescharacteristic
275C2×C22⋊C4×C17C2311yescharacteristic
276C2×C22⋊C4×C17C2311yescharacteristic
277C2×C22⋊C4×C17C2311yescharacteristic
278C2×C22⋊C4×C17C2311yescharacteristic
279C2×C22⋊C4×C17C2311yescharacteristic
280C2×C22⋊C4×C17C2311yescharacteristic
281C2×C22⋊C4×C17C2311yescharacteristic
282C2×C22⋊C4×C17C2311yescharacteristic
283C2×C22⋊C4×C17C2311yescharacteristic
284C2×C22⋊C4×C17C2311yescharacteristic
285C2×C22⋊C4×C17C2311yescharacteristic
286C2×C22⋊C4×C17C2311yescharacteristic
287C2×C22⋊C4×C17C2311yescharacteristic
288C2×C22⋊C4×C17C2311yescharacteristic
289C2×C22⋊C4×C17C2311yescharacteristic
290C2×C22⋊C4×C17C2311yescharacteristic
291C2×C22⋊C4×C17C2311yescharacteristic
292C2×C22⋊C4×C17C2311yescharacteristic
293C2×C22⋊C4×C17C2311yescharacteristic
294C2×C22⋊C4×C17C2311yescharacteristic
295C2×C22⋊C4×C17C2311yescharacteristic
296C2×C22⋊C4×C17C2311yescharacteristic
297C2×C22⋊C4×C17C2311yescharacteristic
298C2×C22⋊C4×C17C2311yescharacteristic
299C2×C22⋊C4×C17C2311yescharacteristic
300C2×C22⋊C4×C17C2311yescharacteristic
301C2×C22⋊C4×C17C2311yescharacteristic
302C2×C22⋊C4×C17C2311yescharacteristic
303C2×C22⋊C4×C17C2311yescharacteristic
304C2×C22⋊C4×C17C2311yescharacteristic
305C2×C22⋊C4×C17C2311yescharacteristic
306C2×C22⋊C4×C17C2311yescharacteristic
307C2×C22⋊C4×C17C2311yescharacteristic
308C2×C22⋊C4×C17C2311yescharacteristic
309C2×C22⋊C4×C17C2311yescharacteristic
310C2×C22⋊C4×C17C2311yescharacteristic
311C2×C22⋊C4×C17C2311yescharacteristic
312C2×C22⋊C4×C17C2311yescharacteristic
313C2×C22⋊C4×C17C2311yescharacteristic
314C2×C22⋊C4×C17C2311yescharacteristic
315C2×C22⋊C4×C17C2311yescharacteristic
316C2×C22⋊C4×C17C2311yescharacteristic
317C2×C22⋊C4×C17C2311yescharacteristic
318C2×C22⋊C4×C17C2311yescharacteristic
319C2×C22⋊C4×C17C2311yescharacteristic
320C2×C22⋊C4×C17C2311yescharacteristic
321C2×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—22no—
373C24×C17—41no—
374C24×C17—41no—
375C24×C17—41no—
376C24×C17—41no—
377C24×C17—41no—
378C24×C17—41no—
379C24×C17—41no—
380C24×C17—41no—
381C24×C17—41no—
382C24×C17—41no—
383C24×C17C2411yescharacteristic
384C24×C17C2411yescharacteristic
385C24×C17C2411yescharacteristic
386C24×C17C2411yescharacteristic
387C24×C17C2411yescharacteristic
388C24×C17C2411yescharacteristic
389C24×C17C2411yescharacteristic
390C2×Q8×C17—41no—
391C2×Q8×C17—41no—
392C2×Q8×C17—41no—
393C2×D4×C17—22no—
394C2×D4×C17—22no—
395C2×D4×C17—22no—
396C2×D4×C17—22no—
397C2×D4×C17—22no—
398C2×D4×C17—22no—
399C2×D4×C17—22no—
400C2×D4×C17—22no—
401C2×D4×C17—22no—
402C2×D4×C17—22no—
403C2×D4×C17—22no—
404C2×D4×C17—22no—
405C2×D4×C17—22no—
406C2×D4×C17—22no—
407C2×D4×C17—22no—
408C2×D4×C17—41no—
409C2×D4×C17—41no—
410C2×D4×C17—41no—
411C2×D4×C17—41no—
412C2×D4×C17—41no—
413C2×D4×C17—41no—
414C2×D4×C17—41no—
415C2×D4×C17—41no—
416C2×D4×C17—41no—
417C2×D4×C17—41no—
418C2×D4×C17—41no—
419C2×D4×C17—41no—
420C2×D4×C17—41no—
421C2×D4×C17—41no—
422C2×D4×C17—41no—
423C2×D4×C17—41no—
424C2×D4×C17—41no—
425C2×D4×C17—41no—
426C2×D4×C17—41no—
427C2×D4×C17—41no—
428C2×D4×C17—41no—
429C2×D4×C17—41no—
430C2×D4×C17—41no—
431C2×D4×C17—41no—
432C2×D4×C17—41no—
433C2×D4×C17—41no—
434C2×D4×C17—41no—
435C2×D4×C17—41no—
436C2×D4×C17—41no—
437C2×D4×C17#4114yes—
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—416no—
466C22×C4×C17C2411yescharacteristic
467C22×C4×C17C2411yescharacteristic
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
490C4⋊C4×C17—22no—
491C4⋊C4×C17—22no—
492C4⋊C4×C17—22no—
493C4⋊C4×C17—22no—
494C4⋊C4×C17—22no—
495C4⋊C4×C17—41no—
496C4⋊C4×C17—41no—
497C4⋊C4×C17—41no—
498C4⋊C4×C17—41no—
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—
514C22⋊C4×C17—22no—
515C22⋊C4×C17—22no—
516C22⋊C4×C17—22no—
517C22⋊C4×C17—22no—
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—41no—
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—41no—
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#36886C1711yesmaximal, characteristic, direct product factor, Sylow
583C23×C17—21no—
584C23×C17—21no—
585C23×C17—21no—
586C23×C17—21no—
587C23×C17—21no—
588C23×C17—21no—
589C23×C17—21no—
590C23×C17—21no—
591C23×C17—21no—
592C23×C17—21no—
593C23×C17—21no—
594C23×C17—21no—
595C23×C17—21no—
596C23×C17—21no—
597C23×C17—21no—
598C23×C17—21no—
599C23×C17—21no—
600C23×C17—21no—
601C23×C17—21no—
602C23×C17—21no—
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—21no—
606C23×C17—21no—
607C23×C17—21no—
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17—21no—
617C23×C17—21no—
618C23×C17—21no—
619C23×C17—21no—
620C23×C17—21no—
621C23×C17—21no—
622C23×C17—21no—
623C23×C17—21no—
624C23×C17—21no—
625C23×C17—21no—
626C23×C17—21no—
627C23×C17—21no—
628C23×C17—44no—
629C23×C17—44no—
630C23×C17—44no—
631C23×C17—44no—
632C23×C17—44no—
633C23×C17—44no—
634C23×C17—44no—
635C23×C17—44no—
636C23×C17—82no—
637C23×C17—82no—
638C23×C17—82no—
639C23×C17—82no—
640C23×C17—82no—
641C23×C17—82no—
642C23×C17C2×#4112yes—
643C23×C17C2×#4112yes—
644C23×C17H(5,𝔽2)12yes—
645C23×C17H(5,𝔽2)12yes—
646C23×C17C2511yescharacteristic
647Q8×C17—82no—
648D4×C17—44no—
649D4×C17—44no—
650D4×C17—44no—
651D4×C17—82no—
652D4×C17—82no—
653D4×C17—82no—
654D4×C17—82no—
655D4×C17—82no—
656D4×C17—82no—
657D4×C17—82no—
658D4×C17—82no—
659D4×C17—82no—
660D4×C17—82no—
661D4×C17—82no—
662D4×C17—82no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—21no—
704C2×C4×C17—21no—
705C2×C4×C17—21no—
706C2×C4×C17—21no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—21no—
721C2×C4×C17—21no—
722C2×C4×C17—21no—
723C2×C4×C17—21no—
724C2×C4×C17—21no—
725C2×C4×C17—21no—
726C2×C4×C17—21no—
727C2×C4×C17—21no—
728C2×C4×C17—21no—
729C2×C4×C17—21no—
730C2×C4×C17—21no—
731C2×C4×C17—21no—
732C2×C4×C17—44no—
733C2×C4×C17—44no—
734C2×C4×C17—44no—
735C2×C4×C17—44no—
736C2×C4×C17—44no—
737C2×C4×C17—44no—
738C2×C4×C17—44no—
739C2×C4×C17—82no—
740C2×C4×C17—82no—
741C2×C4×C17C2×#4112yes—
742C2×C4×C17H(5,𝔽2)12yes—
743C2×C4×C17H(5,𝔽2)12yes—
744#2849C2×C1711yescharacteristic, complemented
745#2847C2×C1711yescharacteristic, complemented
746#2796C2×C1711yescharacteristic, complemented
747#2786C2×C1711yescharacteristic, complemented
748#2784C2×C1711yescharacteristic, complemented
749#2778C2×C1711yescharacteristic, complemented
750#2746C2×C1711yescharacteristic, complemented
751#2711C2×C1711yescharacteristic, complemented
752#2694C2×C1711yescharacteristic, complemented
753#2691C2×C1711yescharacteristic, complemented
754#2686C2×C1711yescharacteristic, complemented
755#2685C2×C1711yescharacteristic, complemented
756#2684C2×C1711yescharacteristic, complemented
757#2679C2×C1711yescharacteristic, complemented
758#2678C2×C1711yescharacteristic, complemented
759#2670C2×C1711yescharacteristic, complemented
760#2668C2×C1711yescharacteristic, complemented
761#2668C2×C1711yescharacteristic, complemented
762#2653C2×C1711yescharacteristic, complemented
763#2648C2×C1711yescharacteristic, complemented
764#2521C2×C1711yescharacteristic, complemented
765#2516C2×C1711yescharacteristic, complemented
766#2476C2×C1711yescharacteristic, complemented
767#2471C2×C1711yescharacteristic, complemented
768#2460C2×C1711yescharacteristic, complemented
769#2459C2×C1711yescharacteristic, complemented
770#2424C2×C1711yescharacteristic, complemented
771#2418C2×C1711yescharacteristic, complemented
772#2324C2×C1711yescharacteristic, complemented
773#2321C2×C1711yescharacteristic, complemented
774C4×#120C2×C1711yescharacteristic, complemented
775C22×C17—22no—
776C22×C17—22no—
777C22×C17—22no—
778C22×C17—22no—
779C22×C17—22no—
780C22×C17—22no—
781C22×C17—22no—
782C22×C17—22no—
783C22×C17—22no—
784C22×C17—22no—
785C22×C17—22no—
786C22×C17—22no—
787C22×C17—416no—
788C22×C17—41no—
789C22×C17—41no—
790C22×C17—41no—
791C22×C17—41no—
792C22×C17—41no—
793C22×C17—41no—
794C22×C17—41no—
795C22×C17—41no—
796C22×C17—41no—
797C22×C17—41no—
798C22×C17—41no—
799C22×C17—41no—
800C22×C17—41no—
801C22×C17—41no—
802C22×C17—41no—
803C22×C17—41no—
804C22×C17—41no—
805C22×C17—41no—
806C22×C17—41no—
807C22×C17—41no—
808C22×C17—41no—
809C22×C17—41no—
810C22×C17—41no—
811C22×C17—41no—
812C22×C17—41no—
813C22×C17—41no—
814C22×C17—41no—
815C22×C17—41no—
816C22×C17—41no—
817C22×C17—41no—
818C22×C17—41no—
819C22×C17—41no—
820C22×C17—41no—
821C22×C17—41no—
822C22×C17—41no—
823C22×C17—41no—
824C22×C17—41no—
825C22×C17—88no—
826C22×C17C22×#4111yescharacteristic
827C22×C17C2×H(5,𝔽2)11yescharacteristic
828C22×C17C2×H(5,𝔽2)11yescharacteristic
829C22×C17C2×H(5,𝔽2)11yescharacteristic
830C22×C17C2×H(5,𝔽2)11yescharacteristic
831C22×C17#58511yescharacteristic
832C22×C17#58511yescharacteristic
833C4×C17—22no—
834C4×C17—22no—
835C4×C17—22no—
836C4×C17—41no—
837C4×C17—41no—
838C4×C17—41no—
839C4×C17—41no—
840C4×C17—41no—
841C4×C17—41no—
842C4×C17—41no—
843C4×C17—41no—
844C4×C17—41no—
845C4×C17—41no—
846C4×C17—41no—
847C4×C17—41no—
848C4×C17—41no—
849C4×C17—41no—
850C4×C17—41no—
851C4×C17—41no—
852C4×C17—41no—
853C4×C17—41no—
854C4×C17—41no—
855C4×C17—41no—
856C4×C17—41no—
857C24×C4C22×C1711yescharacteristic, complemented
858C2×#126C22×C1711yescharacteristic, complemented
859C2×#125C22×C1711yescharacteristic, complemented
860C2×#124C22×C1711yescharacteristic
861C2×#124C22×C1711yescharacteristic, complemented
862C2×#123C22×C1711yescharacteristic
863C2×#123C22×C1711yescharacteristic
864C2×#121C22×C1711yescharacteristic
865C2×#121C22×C1711yescharacteristic
866C2×#121C22×C1711yescharacteristic
867C2×#121C22×C1711yescharacteristic
868C2×#121C22×C1711yescharacteristic
869C2×#120C22×C1711yescharacteristic
870C2×#120C22×C1711yescharacteristic
871C2×#120C22×C1711yescharacteristic
872C2×#120C22×C1711yescharacteristic
873C2×#120C22×C1711yescharacteristic
874C2×#120C22×C1711yescharacteristic
875C2×#120C22×C1711yescharacteristic, complemented
876C2×#120C22×C1711yescharacteristic, complemented
877C2×C4×D4C22×C1711yescharacteristic
878C2×C4×D4C22×C1711yescharacteristic
879C2×C4×D4C22×C1711yescharacteristic
880C2×#117C22×C1711yescharacteristic, complemented
881C22×C22⋊C4C22×C1711yescharacteristic, complemented
882#401C22×C1711yescharacteristic, complemented
883#400C22×C1711yescharacteristic, complemented
884#400C22×C1711yescharacteristic, complemented
885#399C22×C1711yescharacteristic, complemented
886#399C22×C1711yescharacteristic, complemented
887#399C22×C1711yescharacteristic, complemented
888#399C22×C1711yescharacteristic, complemented
889#398C22×C1711yescharacteristic, complemented
890#398C22×C1711yescharacteristic, complemented
891#397C22×C1711yescharacteristic, complemented
892#397C22×C1711yescharacteristic, complemented
893#397C22×C1711yescharacteristic, complemented
894#397C22×C1711yescharacteristic, complemented
895#397C22×C1711yescharacteristic, complemented
896#397C22×C1711yescharacteristic, complemented
897#397C22×C1711yescharacteristic, complemented
898#397C22×C1711yescharacteristic, complemented
899#397C22×C1711yescharacteristic, complemented
900#396C22×C1711yescharacteristic, complemented
901#396C22×C1711yescharacteristic, complemented
902#396C22×C1711yescharacteristic, complemented
903#396C22×C1711yescharacteristic, complemented
904#395C22×C1711yescharacteristic, complemented
905#394C22×C1711yescharacteristic
906#394C22×C1711yescharacteristic
907#394C22×C1711yescharacteristic
908#394C22×C1711yescharacteristic
909#394C22×C1711yescharacteristic
910#394C22×C1711yescharacteristic
911#394C22×C1711yescharacteristic
912#394C22×C1711yescharacteristic
913#394C22×C1711yescharacteristic
914#394C22×C1711yescharacteristic
915#394C22×C1711yescharacteristic
916#394C22×C1711yescharacteristic
917#394C22×C1711yescharacteristic, complemented
918#394C22×C1711yescharacteristic, complemented
919#394C22×C1711yescharacteristic, complemented
920#394C22×C1711yescharacteristic, complemented
921#394C22×C1711yescharacteristic, complemented
922#394C22×C1711yescharacteristic, complemented
923#393C22×C1711yescharacteristic, complemented
924#393C22×C1711yescharacteristic, complemented
925#393C22×C1711yescharacteristic, complemented
926#392C22×C1711yescharacteristic
927#392C22×C1711yescharacteristic
928#392C22×C1711yescharacteristic
929#392C22×C1711yescharacteristic
930#391C22×C1711yescharacteristic, complemented
931#390C22×C1711yescharacteristic
932#390C22×C1711yescharacteristic
933#390C22×C1711yescharacteristic
934#390C22×C1711yescharacteristic
935#390C22×C1711yescharacteristic
936#390C22×C1711yescharacteristic
937#390C22×C1711yescharacteristic, complemented
938#390C22×C1711yescharacteristic, complemented
939#390C22×C1711yescharacteristic, complemented
940#389C22×C1711yescharacteristic, complemented
941#388C22×C1711yescharacteristic, complemented
942#388C22×C1711yescharacteristic, complemented
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#388C22×C1711yescharacteristic, complemented
952#388C22×C1711yescharacteristic, complemented
953#388C22×C1711yescharacteristic, complemented
954#388C22×C1711yescharacteristic, complemented
955#388C22×C1711yescharacteristic, complemented
956#388C22×C1711yescharacteristic, complemented
957#388C22×C1711yescharacteristic, complemented
958#387C22×C1711yescharacteristic, complemented
959#387C22×C1711yescharacteristic, complemented
960#387C22×C1711yescharacteristic, complemented
961#387C22×C1711yescharacteristic, complemented
962#387C22×C1711yescharacteristic, complemented
963#387C22×C1711yescharacteristic, complemented
964#387C22×C1711yescharacteristic, complemented
965#387C22×C1711yescharacteristic, complemented
966#386C22×C1711yescharacteristic
967#386C22×C1711yescharacteristic
968#386C22×C1711yescharacteristic
969#386C22×C1711yescharacteristic
970#386C22×C1711yescharacteristic
971#386C22×C1711yescharacteristic
972#386C22×C1711yescharacteristic
973#386C22×C1711yescharacteristic
974#386C22×C1711yescharacteristic
975#386C22×C1711yescharacteristic
976#386C22×C1711yescharacteristic
977#386C22×C1711yescharacteristic
978#386C22×C1711yescharacteristic, complemented
979#386C22×C1711yescharacteristic, complemented
980#386C22×C1711yescharacteristic, complemented
981#386C22×C1711yescharacteristic, complemented
982#386C22×C1711yescharacteristic, complemented
983#386C22×C1711yescharacteristic, complemented
984#386C22×C1711yescharacteristic, complemented
985#386C22×C1711yescharacteristic, complemented
986#385C22×C1711yescharacteristic, complemented
987#385C22×C1711yescharacteristic, complemented
988#385C22×C1711yescharacteristic, complemented
989#385C22×C1711yescharacteristic, complemented
990#385C22×C1711yescharacteristic, complemented
991#385C22×C1711yescharacteristic, complemented
992#385C22×C1711yescharacteristic, complemented
993#385C22×C1711yescharacteristic, complemented
994#385C22×C1711yescharacteristic, complemented
995#385C22×C1711yescharacteristic, complemented
996#381C22×C1711yescharacteristic, complemented
997#381C22×C1711yescharacteristic, complemented
998#380C22×C1711yescharacteristic, complemented
999#380C22×C1711yescharacteristic, complemented
1000#380C22×C1711yescharacteristic, complemented
1001#380C22×C1711yescharacteristic, complemented
1002#380C22×C1711yescharacteristic, complemented
1003#379C22×C1711yescharacteristic, complemented
1004#379C22×C1711yescharacteristic, complemented
1005#379C22×C1711yescharacteristic, complemented
1006#379C22×C1711yescharacteristic, complemented
1007C4×C4⋊C4C22×C1711yescharacteristic, complemented
1008C4×C22⋊C4C22×C1711yescharacteristic, complemented
1009C4×C22⋊C4C22×C1711yescharacteristic, complemented
1010C4×C22⋊C4C22×C1711yescharacteristic, complemented
1011C4×C22⋊C4C22×C1711yescharacteristic, complemented
1012C2×C17—42no—
1013C2×C17—42no—
1014C2×C17—42no—
1015C2×C17—42no—
1016C2×C17—81no—
1017C2×C17—81no—
1018C2×C17—81no—
1019C2×C17#345911yescharacteristic
1020C2×C17#351311yescharacteristic
1021C2×C17#351911yescharacteristic
1022C2×C17#353211yescharacteristic
1023C2×C17#353411yescharacteristic
1024C2×C17#354011yescharacteristic
1025C2×C17#354211yescharacteristic
1026C25C23×C1711yescharacteristic
1027C25C23×C1711yescharacteristic
1028C22×Q8C23×C1711yescharacteristic
1029C22×D4C23×C1711yescharacteristic
1030C22×D4C23×C1711yescharacteristic
1031C22×D4C23×C1711yescharacteristic
1032C22×D4C23×C1711yescharacteristic
1033C22×D4C23×C1711yescharacteristic
1034C22×D4C23×C1711yescharacteristic
1035C22×D4C23×C1711yescharacteristic
1036C22×D4C23×C1711yescharacteristic
1037C22×D4C23×C1711yescharacteristic
1038C22×D4C23×C1711yescharacteristic
1039C22×D4C23×C1711yescharacteristic
1040C22×D4C23×C1711yescharacteristic
1041C22×D4C23×C1711yescharacteristic
1042C22×D4C23×C1711yescharacteristic
1043C22×D4C23×C1711yescharacteristic
1044C23×C4—42no—
1045C23×C4—42no—
1046C23×C4—42no—
1047C23×C4C23×C1711yescharacteristic
1048C23×C4C23×C1711yescharacteristic
1049C23×C4C23×C1711yescharacteristic
1050C23×C4C23×C1711yescharacteristic
1051C23×C4C23×C1711yescharacteristic
1052C23×C4C23×C1711yescharacteristic
1053C23×C4C23×C1711yescharacteristic
1054C23×C4C23×C1711yescharacteristic
1055C23×C4C23×C1711yescharacteristic
1056#126—42no—
1057#125—42no—
1058#124—42no—
1059#124—42no—
1060#123—42no—
1061#123—42no—
1062#121—24no—
1063#121—42no—
1064#121—42no—
1065#121—42no—
1066#121—42no—
1067#120—24no—
1068#120—24no—
1069#120—42no—
1070#120—42no—
1071#120—42no—
1072#120—42no—
1073#120—42no—
1074#120—42no—
1075C4×D4—42no—
1076C4×D4—42no—
1077C4×D4—42no—
1078#117—42no—
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⋊C4—42no—
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×C22⋊C4C23×C1711yescharacteristic
1160C2×C22⋊C4C23×C1711yescharacteristic
1161C2×C22⋊C4C23×C1711yescharacteristic
1162C2×C22⋊C4C23×C1711yescharacteristic
1163C2×C22⋊C4C23×C1711yescharacteristic
1164C2×C42C23×C1711yescharacteristic
1165C2×C42C23×C1711yescharacteristic
1166C2×C42C23×C1711yescharacteristic
1167C2×C42C23×C1711yescharacteristic
1168C2×C42C23×C1711yescharacteristic
1169C2×C42C23×C1711yescharacteristic
1170C2×C42C23×C1711yescharacteristic
1171C2×C42C23×C1711yescharacteristic
1172#95C23×C1711yescharacteristic
1173#95C23×C1711yescharacteristic
1174#95C23×C1711yescharacteristic
1175#95C23×C1711yescharacteristic
1176#95C23×C1711yescharacteristic
1177#95C23×C1711yescharacteristic
1178#95C23×C1711yescharacteristic
1179#95C23×C1711yescharacteristic
1180#95C23×C1711yescharacteristic
1181#95C23×C1711yescharacteristic
1182#95C23×C1711yescharacteristic
1183#95C23×C1711yescharacteristic
1184#95C23×C1711yescharacteristic
1185#95C23×C1711yescharacteristic
1186#95C23×C1711yescharacteristic
1187#95C23×C1711yescharacteristic
1188#95C23×C1711yescharacteristic
1189#95C23×C1711yescharacteristic
1190#95C23×C1711yescharacteristic
1191#95C23×C1711yescharacteristic
1192#95C23×C1711yescharacteristic
1193#95C23×C1711yescharacteristic
1194#95C23×C1711yescharacteristic
1195#95C23×C1711yescharacteristic
1196#95C23×C1711yescharacteristic
1197#95C23×C1711yescharacteristic
1198#95C23×C1711yescharacteristic
1199#95C23×C1711yescharacteristic
1200#95C23×C1711yescharacteristic
1201#95C23×C1711yescharacteristic
1202#95C23×C1711yescharacteristic
1203#95C23×C1711yescharacteristic
1204#95C23×C1711yescharacteristic
1205#95C23×C1711yescharacteristic
1206#95C23×C1711yescharacteristic
1207#95C23×C1711yescharacteristic
1208C17#3688611yescharacteristic, direct product factor, Sylow
1209C24—22no—
1210C24—22no—
1211C24—22no—
1212C24—22no—
1213C24—41no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24C24×C1711yescharacteristic
1224C24C24×C1711yescharacteristic
1225C24C24×C1711yescharacteristic
1226C24C24×C1711yescharacteristic
1227C24C24×C1711yescharacteristic
1228C24C24×C1711yescharacteristic
1229C24C24×C1711yescharacteristic
1230C2×Q8—41no—
1231C2×Q8—41no—
1232C2×Q8—41no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4#41×C1714yes—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—416no—
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
1327C22×C4C24×C1711yescharacteristic
1328C22×C4C24×C1711yescharacteristic
1329C22×C4C24×C1711yescharacteristic
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
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—
1353C4⋊C4—41no—
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—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C42—22no—
1415C42—41no—
1416C42—41no—
1417C42—41no—
1418C42—41no—
1419C42—41no—
1420C42—41no—
1421C42—41no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—44no—
1475C23—82no—
1476C23—82no—
1477C23—82no—
1478C23—82no—
1479C23—82no—
1480C23—82no—
1481C23C2×#41×C1712yes—
1482C23C2×#41×C1712yes—
1483C23C17×H(5,𝔽2)12yes—
1484C23C17×H(5,𝔽2)12yes—
1485C23C25×C1711yescharacteristic
1486Q8—82no—
1487D4—44no—
1488D4—44no—
1489D4—44no—
1490D4—82no—
1491D4—82no—
1492D4—82no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
1496D4—82no—
1497D4—82no—
1498D4—82no—
1499D4—82no—
1500D4—82no—
1501D4—82no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—82no—
1579C2×C4—82no—
1580C2×C4C2×#41×C1712yes—
1581C2×C4C17×H(5,𝔽2)12yes—
1582C2×C4C17×H(5,𝔽2)12yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—416no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—88no—
1634C22C22×#41×C1711yescharacteristic
1635C22C2×C17×H(5,𝔽2)11yescharacteristic
1636C22C2×C17×H(5,𝔽2)11yescharacteristic
1637C22C2×C17×H(5,𝔽2)11yescharacteristic
1638C22C2×C17×H(5,𝔽2)11yescharacteristic
1639C22C17×#58511yescharacteristic
1640C22C17×#58511yescharacteristic
1641C4—22no—
1642C4—22no—
1643C4—22no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C2—42no—
1666C2—42no—
1667C2—42no—
1668C2—42no—
1669C2—81no—
1670C2—81no—
1671C2—81no—
1672C2C17×#345911yescharacteristic
1673C2C17×#351311yescharacteristic
1674C2C17×#351911yescharacteristic
1675C2C17×#353211yescharacteristic
1676C2C17×#353411yescharacteristic
1677C2C17×#354011yescharacteristic
1678C2C17×#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×#2796C2semidirect
4. C17×#2786C2semidirect
5. C17×#2784C2semidirect
6. C17×#2778C2semidirect
7. C17×#2746C2semidirect
8. C17×#2711C2semidirect
9. C17×#2694C2semidirect
10. C17×#2691C2semidirect
11. C17×#2686C2semidirect
12. C17×#2685C2semidirect
13. C17×#2684C2semidirect
14. C17×#2679C2semidirect
15. C17×#2678C2semidirect
16. C17×#2670C2semidirect
17. C17×#2668C2semidirect
18. C17×#2668C2semidirect
19. C17×#2653C2semidirect
20. C17×#2648C2semidirect
21. C17×#2521C2semidirect
22. C17×#2516C2semidirect
23. C17×#2476C2semidirect
24. C17×#2471C2semidirect
25. C17×#2460C2semidirect
26. C17×#2459C2semidirect
27. C17×#2424C2semidirect
28. C17×#2418C2semidirect
29. C17×#2324C2semidirect
30. C17×#2321C2semidirect
31. C4×C17×#120C2semidirect
32. C24×C4×C17C22semidirect
33. C2×C17×#126C22semidirect
34. C2×C17×#125C22semidirect
36. C2×C17×#124C22semidirect
50. C2×C17×#120C22semidirect
51. C2×C17×#120C22semidirect
55. C2×C17×#117C22semidirect
56. C22×C22⋊C4×C17C22semidirect
57. C17×#401C22semidirect
58. C17×#400C22semidirect
59. C17×#400C22semidirect
60. C17×#399C22semidirect
61. C17×#399C22semidirect
62. C17×#399C22semidirect
63. C17×#399C22semidirect
64. C17×#398C22semidirect
65. C17×#398C22semidirect
66. C17×#397C22semidirect
67. C17×#397C22semidirect
68. C17×#397C22semidirect
69. C17×#397C22semidirect
70. C17×#397C22semidirect
71. C17×#397C22semidirect
72. C17×#397C22semidirect
73. C17×#397C22semidirect
74. C17×#397C22semidirect
75. C17×#396C22semidirect
76. C17×#396C22semidirect
77. C17×#396C22semidirect
78. C17×#396C22semidirect
79. C17×#395C22semidirect
92. C17×#394C22semidirect
93. C17×#394C22semidirect
94. C17×#394C22semidirect
95. C17×#394C22semidirect
96. C17×#394C22semidirect
97. C17×#394C22semidirect
98. C17×#393C22semidirect
99. C17×#393C22semidirect
100. C17×#393C22semidirect
105. C17×#391C22semidirect
112. C17×#390C22semidirect
113. C17×#390C22semidirect
114. C17×#390C22semidirect
115. C17×#389C22semidirect
116. C17×#388C22semidirect
117. C17×#388C22semidirect
118. C17×#388C22semidirect
119. C17×#388C22semidirect
120. C17×#388C22semidirect
121. C17×#388C22semidirect
122. C17×#388C22semidirect
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×#388C22semidirect
132. C17×#388C22semidirect
133. C17×#387C22semidirect
134. C17×#387C22semidirect
135. C17×#387C22semidirect
136. C17×#387C22semidirect
137. C17×#387C22semidirect
138. C17×#387C22semidirect
139. C17×#387C22semidirect
140. C17×#387C22semidirect
153. C17×#386C22semidirect
154. C17×#386C22semidirect
155. C17×#386C22semidirect
156. C17×#386C22semidirect
157. C17×#386C22semidirect
158. C17×#386C22semidirect
159. C17×#386C22semidirect
160. C17×#386C22semidirect
161. C17×#385C22semidirect
162. C17×#385C22semidirect
163. C17×#385C22semidirect
164. C17×#385C22semidirect
165. C17×#385C22semidirect
166. C17×#385C22semidirect
167. C17×#385C22semidirect
168. C17×#385C22semidirect
169. C17×#385C22semidirect
170. C17×#385C22semidirect
171. C17×#381C22semidirect
172. C17×#381C22semidirect
173. C17×#380C22semidirect
174. C17×#380C22semidirect
175. C17×#380C22semidirect
176. C17×#380C22semidirect
177. C17×#380C22semidirect
178. C17×#379C22semidirect
179. C17×#379C22semidirect
180. C17×#379C22semidirect
181. C17×#379C22semidirect
182. C4×C4⋊C4×C17C22semidirect
183. C4×C22⋊C4×C17C22semidirect
184. C4×C22⋊C4×C17C22semidirect
185. C4×C22⋊C4×C17C22semidirect
186. C4×C22⋊C4×C17C22semidirect
582. #36886C17direct (N × H)
744. #2849C2×C17semidirect
745. #2847C2×C17semidirect
746. #2796C2×C17semidirect
747. #2786C2×C17semidirect
748. #2784C2×C17semidirect
749. #2778C2×C17semidirect
750. #2746C2×C17semidirect
751. #2711C2×C17semidirect
752. #2694C2×C17semidirect
753. #2691C2×C17semidirect
754. #2686C2×C17semidirect
755. #2685C2×C17semidirect
756. #2684C2×C17semidirect
757. #2679C2×C17semidirect
758. #2678C2×C17semidirect
759. #2670C2×C17semidirect
760. #2668C2×C17semidirect
761. #2668C2×C17semidirect
762. #2653C2×C17semidirect
763. #2648C2×C17semidirect
764. #2521C2×C17semidirect
765. #2516C2×C17semidirect
766. #2476C2×C17semidirect
767. #2471C2×C17semidirect
768. #2460C2×C17semidirect
769. #2459C2×C17semidirect
770. #2424C2×C17semidirect
771. #2418C2×C17semidirect
772. #2324C2×C17semidirect
773. #2321C2×C17semidirect
774. C4×#120C2×C17semidirect
857. C24×C4C22×C17semidirect
858. C2×#126C22×C17semidirect
859. C2×#125C22×C17semidirect
861. C2×#124C22×C17semidirect
875. C2×#120C22×C17semidirect
876. C2×#120C22×C17semidirect
880. C2×#117C22×C17semidirect
881. C22×C22⋊C4C22×C17semidirect
882. #401C22×C17semidirect
883. #400C22×C17semidirect
884. #400C22×C17semidirect
885. #399C22×C17semidirect
886. #399C22×C17semidirect
887. #399C22×C17semidirect
888. #399C22×C17semidirect
889. #398C22×C17semidirect
890. #398C22×C17semidirect
891. #397C22×C17semidirect
892. #397C22×C17semidirect
893. #397C22×C17semidirect
894. #397C22×C17semidirect
895. #397C22×C17semidirect
896. #397C22×C17semidirect
897. #397C22×C17semidirect
898. #397C22×C17semidirect
899. #397C22×C17semidirect
900. #396C22×C17semidirect
901. #396C22×C17semidirect
902. #396C22×C17semidirect
903. #396C22×C17semidirect
904. #395C22×C17semidirect
917. #394C22×C17semidirect
918. #394C22×C17semidirect
919. #394C22×C17semidirect
920. #394C22×C17semidirect
921. #394C22×C17semidirect
922. #394C22×C17semidirect
923. #393C22×C17semidirect
924. #393C22×C17semidirect
925. #393C22×C17semidirect
930. #391C22×C17semidirect
937. #390C22×C17semidirect
938. #390C22×C17semidirect
939. #390C22×C17semidirect
940. #389C22×C17semidirect
941. #388C22×C17semidirect
942. #388C22×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. #388C22×C17semidirect
952. #388C22×C17semidirect
953. #388C22×C17semidirect
954. #388C22×C17semidirect
955. #388C22×C17semidirect
956. #388C22×C17semidirect
957. #388C22×C17semidirect
958. #387C22×C17semidirect
959. #387C22×C17semidirect
960. #387C22×C17semidirect
961. #387C22×C17semidirect
962. #387C22×C17semidirect
963. #387C22×C17semidirect
964. #387C22×C17semidirect
965. #387C22×C17semidirect
978. #386C22×C17semidirect
979. #386C22×C17semidirect
980. #386C22×C17semidirect
981. #386C22×C17semidirect
982. #386C22×C17semidirect
983. #386C22×C17semidirect
984. #386C22×C17semidirect
985. #386C22×C17semidirect
986. #385C22×C17semidirect
987. #385C22×C17semidirect
988. #385C22×C17semidirect
989. #385C22×C17semidirect
990. #385C22×C17semidirect
991. #385C22×C17semidirect
992. #385C22×C17semidirect
993. #385C22×C17semidirect
994. #385C22×C17semidirect
995. #385C22×C17semidirect
996. #381C22×C17semidirect
997. #381C22×C17semidirect
998. #380C22×C17semidirect
999. #380C22×C17semidirect
1000. #380C22×C17semidirect
1001. #380C22×C17semidirect
1002. #380C22×C17semidirect
1003. #379C22×C17semidirect
1004. #379C22×C17semidirect
1005. #379C22×C17semidirect
1006. #379C22×C17semidirect
1007. C4×C4⋊C4C22×C17semidirect
1008. C4×C22⋊C4C22×C17semidirect
1009. C4×C22⋊C4C22×C17semidirect
1010. C4×C22⋊C4C22×C17semidirect
1011. C4×C22⋊C4C22×C17semidirect
1208. C17#36886direct (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×#27962
C17×#27862
C17×#27842
C17×#27782
C17×#27462
C17×#27112
C17×#26942
C17×#26912
C17×#26862
C17×#26852
C17×#26842
C17×#26792
C17×#26782
C17×#26702
C17×#26682
C17×#26532
C17×#26482
C17×#25212
C17×#25162
C17×#24762
C17×#24712
C17×#24602
C17×#24592
C17×#24242
C17×#24182
C17×#23242
C17×#23212
C4×C17×#1202
#3688617