Finite Group Databasebeta

← C17×#36779 #16894523

Subgroups — C17×#36779 #16894523

Order 4352.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#2852C211yesmaximal, characteristic, complemented
2C17×#2850C211yesmaximal, characteristic, complemented
3C17×#2781C211yesmaximal, characteristic, complemented
4C17×#2781C211yesmaximal, characteristic, complemented
5C17×#2778C211yesmaximal, characteristic, complemented
6C17×#2765C211yesmaximal, characteristic, complemented
7C17×#2764C211yesmaximal, characteristic, complemented
8C17×#2761C211yesmaximal, characteristic, complemented
9C17×#2756C211yesmaximal, characteristic, complemented
10C17×#2749C211yesmaximal, characteristic, complemented
11C17×#2743C211yesmaximal, characteristic, complemented
12C17×#2741C211yesmaximal, characteristic, complemented
13C17×#2735C211yesmaximal, characteristic, complemented
14C17×#2735C211yesmaximal, characteristic, complemented
15C17×#2730C211yesmaximal, characteristic, complemented
16C17×#2702C211yesmaximal, characteristic, complemented
17C17×#2685C211yesmaximal, characteristic, complemented
18C17×#2684C211yesmaximal, characteristic, complemented
19C17×#2623C211yesmaximal, characteristic, complemented
20C17×#2618C211yesmaximal, characteristic, complemented
21C17×#2510C211yesmaximal, characteristic, complemented
22C17×#2488C211yesmaximal, characteristic, complemented
23C17×#2444C211yesmaximal, characteristic, complemented
24C17×#2437C211yesmaximal, characteristic, complemented
25C17×#2425C211yesmaximal, characteristic, complemented
26C17×#2412C211yesmaximal, characteristic, complemented
27C17×#2410C211yesmaximal, characteristic
28C17×#2405C211yesmaximal, characteristic, complemented
29C17×#2321C211yesmaximal, characteristic, complemented
30C17×#2308C211yesmaximal, characteristic, complemented
31C2×C17×#388C211yesmaximal, characteristic, complemented
32C23×D4×C17C2211yescharacteristic
33C2×C17×#126C2211yescharacteristic, complemented
34C2×C17×#124C2211yescharacteristic, complemented
35C2×C17×#123C2211yescharacteristic
36C2×C17×#123C2211yescharacteristic
37C2×C17×#123C2211yescharacteristic, complemented
38C2×C17×C22⋊Q8C2211yescharacteristic, complemented
39C2×C17×C22⋊Q8C2211yescharacteristic, complemented
40C2×C17×#121C2211yescharacteristic
41C2×C17×#121C2211yescharacteristic
42C2×C17×#120C2211yescharacteristic
43C2×C17×#120C2211yescharacteristic
44C2×C4×D4×C17C2211yescharacteristic, complemented
45C22×C4⋊C4×C17C2211yescharacteristic, complemented
46C22×C22⋊C4×C17C2211yescharacteristic
47C22×C22⋊C4×C17C2211yescharacteristic
48C22×C22⋊C4×C17C2211yescharacteristic
49C22×C22⋊C4×C17C2211yescharacteristic
50C22×C42×C17C2211yescharacteristic, complemented
51C17×#401C2211yescharacteristic, complemented
52C17×#400C2211yescharacteristic, complemented
53C17×#400C2211yescharacteristic, complemented
54C17×#400C2211yescharacteristic, complemented
55C17×#400C2211yescharacteristic, complemented
56C17×#400C2211yescharacteristic, complemented
57C17×#400C2211yescharacteristic, complemented
58C17×#399C2211yescharacteristic
59C17×#399C2211yescharacteristic, complemented
60C17×#399C2211yescharacteristic, complemented
61C17×#398C2211yescharacteristic, complemented
62C17×#398C2211yescharacteristic, complemented
63C17×#398C2211yescharacteristic, complemented
64C17×#398C2211yescharacteristic, complemented
65C17×#398C2211yescharacteristic, complemented
66C17×#397C2211yescharacteristic
67C17×#397C2211yescharacteristic
68C17×#397C2211yescharacteristic, complemented
69C17×#397C2211yescharacteristic, complemented
70C17×#397C2211yescharacteristic, complemented
71C17×#397C2211yescharacteristic, complemented
72C17×#397C2211yescharacteristic, complemented
73C17×#397C2211yescharacteristic, complemented
74C17×#397C2211yescharacteristic, complemented
75C17×#397C2211yescharacteristic, complemented
76C17×#396C2211yescharacteristic
77C17×#396C2211yescharacteristic
78C17×#396C2211yescharacteristic, complemented
79C17×#396C2211yescharacteristic, complemented
80C17×#396C2211yescharacteristic, complemented
81C17×#396C2211yescharacteristic, complemented
82C17×#396C2211yescharacteristic, complemented
83C17×#394C2211yescharacteristic
84C17×#394C2211yescharacteristic
85C17×#394C2211yescharacteristic
86C17×#394C2211yescharacteristic
87C17×#394C2211yescharacteristic
88C17×#394C2211yescharacteristic
89C17×#394C2211yescharacteristic
90C17×#394C2211yescharacteristic
91C17×#394C2211yescharacteristic, complemented
92C17×#394C2211yescharacteristic, complemented
93C17×#394C2211yescharacteristic, complemented
94C17×#394C2211yescharacteristic, complemented
95C17×#393C2211yescharacteristic
96C17×#393C2211yescharacteristic, complemented
97C17×#392C2211yescharacteristic
98C17×#392C2211yescharacteristic
99C17×#391C2211yescharacteristic, complemented
100C17×#391C2211yescharacteristic, complemented
101C17×#390C2211yescharacteristic
102C17×#390C2211yescharacteristic, complemented
103C17×#390C2211yescharacteristic, complemented
104C17×#389C2211yescharacteristic, complemented
105C17×#388C2211yescharacteristic
106C17×#388C2211yescharacteristic
107C17×#388C2211yescharacteristic
108C17×#388C2211yescharacteristic
109C17×#388C2211yescharacteristic
110C17×#388C2211yescharacteristic
111C17×#388C2211yescharacteristic, complemented
112C17×#388C2211yescharacteristic, complemented
113C17×#388C2211yescharacteristic, complemented
114C17×#388C2211yescharacteristic, complemented
115C17×#388C2211yescharacteristic, 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×#387C2211yescharacteristic, complemented
131C17×#387C2211yescharacteristic, complemented
132C17×#387C2211yescharacteristic, complemented
133C17×#387C2211yescharacteristic, complemented
134C17×#387C2211yescharacteristic, complemented
135C17×#386C2211yescharacteristic
136C17×#386C2211yescharacteristic
137C17×#386C2211yescharacteristic
138C17×#386C2211yescharacteristic
139C17×#386C2211yescharacteristic
140C17×#386C2211yescharacteristic
141C17×#386C2211yescharacteristic
142C17×#386C2211yescharacteristic
143C17×#386C2211yescharacteristic
144C17×#386C2211yescharacteristic
145C17×#386C2211yescharacteristic
146C17×#386C2211yescharacteristic
147C17×#386C2211yescharacteristic
148C17×#386C2211yescharacteristic
149C17×#386C2211yescharacteristic, complemented
150C17×#386C2211yescharacteristic, complemented
151C17×#386C2211yescharacteristic, complemented
152C17×#386C2211yescharacteristic, complemented
153C17×#386C2211yescharacteristic, complemented
154C17×#386C2211yescharacteristic, complemented
155C17×#386C2211yescharacteristic, complemented
156C17×#385C2211yescharacteristic
157C17×#385C2211yescharacteristic
158C17×#385C2211yescharacteristic
159C17×#385C2211yescharacteristic, complemented
160C17×#385C2211yescharacteristic, complemented
161C17×#385C2211yescharacteristic, complemented
162C17×#385C2211yescharacteristic, complemented
163C17×#385C2211yescharacteristic, complemented
164C17×#385C2211yescharacteristic, complemented
165C17×#383C2211yescharacteristic, complemented
166C17×#383C2211yescharacteristic, complemented
167C17×#382C2211yescharacteristic, complemented
168C17×#382C2211yescharacteristic, complemented
169C17×#381C2211yescharacteristic
170C17×#381C2211yescharacteristic
171C17×#381C2211yescharacteristic, complemented
172C17×#381C2211yescharacteristic, complemented
173C17×#380C2211yescharacteristic, complemented
174C17×#380C2211yescharacteristic, complemented
175C17×#380C2211yescharacteristic, complemented
176C17×#380C2211yescharacteristic, complemented
177C17×#380C2211yescharacteristic, complemented
178C17×#379C2211yescharacteristic
179C17×#379C2211yescharacteristic
180C17×#379C2211yescharacteristic
181C17×#379C2211yescharacteristic
182C17×#379C2211yescharacteristic
183C17×#379C2211yescharacteristic
184C4×C22⋊C4×C17C2211yescharacteristic, complemented
185C2×C17×#95C2211yescharacteristic, complemented
186C2×C17×#95C2211yescharacteristic, complemented
187C25×C17C2311yescharacteristic
188C25×C17C2311yescharacteristic
189C22×Q8×C17C2311yescharacteristic
190C22×D4×C17—24no—
191C22×D4×C17—42no—
192C22×D4×C17—42no—
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
202C23×C4×C17C2311yescharacteristic
203C23×C4×C17C2311yescharacteristic
204C23×C4×C17C2311yescharacteristic
205C23×C4×C17C2311yescharacteristic
206C23×C4×C17C2311yescharacteristic
207C23×C4×C17C2311yescharacteristic
208C23×C4×C17C2311yescharacteristic
209C23×C4×C17C2311yescharacteristic
210C23×C4×C17C2311yescharacteristic
211C23×C4×C17C2311yescharacteristic
212C17×#126—42no—
213C17×#124—42no—
214C17×#123—42no—
215C17×#123—42no—
216C17×#123—42no—
217C17×C22⋊Q8—42no—
218C17×C22⋊Q8—42no—
219C17×#121—42no—
220C17×#121—42no—
221C17×#120—24no—
222C17×#120—42no—
223C4×D4×C17—42no—
224C2×C4⋊C4×C17—42no—
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C4⋊C4×C17C2311yescharacteristic
235C2×C4⋊C4×C17C2311yescharacteristic
236C2×C4⋊C4×C17C2311yescharacteristic
237C2×C4⋊C4×C17C2311yescharacteristic
238C2×C4⋊C4×C17C2311yescharacteristic
239C2×C4⋊C4×C17C2311yescharacteristic
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×C22⋊C4×C17—24no—
252C2×C22⋊C4×C17—42no—
253C2×C22⋊C4×C17—42no—
254C2×C22⋊C4×C17—42no—
255C2×C22⋊C4×C17C2311yescharacteristic
256C2×C22⋊C4×C17C2311yescharacteristic
257C2×C22⋊C4×C17C2311yescharacteristic
258C2×C22⋊C4×C17C2311yescharacteristic
259C2×C22⋊C4×C17C2311yescharacteristic
260C2×C22⋊C4×C17C2311yescharacteristic
261C2×C22⋊C4×C17C2311yescharacteristic
262C2×C22⋊C4×C17C2311yescharacteristic
263C2×C22⋊C4×C17C2311yescharacteristic
264C2×C22⋊C4×C17C2311yescharacteristic
265C2×C22⋊C4×C17C2311yescharacteristic
266C2×C22⋊C4×C17C2311yescharacteristic
267C2×C22⋊C4×C17C2311yescharacteristic
268C2×C22⋊C4×C17C2311yescharacteristic
269C2×C22⋊C4×C17C2311yescharacteristic
270C2×C22⋊C4×C17C2311yescharacteristic
271C2×C22⋊C4×C17C2311yescharacteristic
272C2×C22⋊C4×C17C2311yescharacteristic
273C2×C22⋊C4×C17C2311yescharacteristic
274C2×C22⋊C4×C17C2311yescharacteristic
275C2×C22⋊C4×C17C2311yescharacteristic
276C2×C22⋊C4×C17C2311yescharacteristic
277C2×C22⋊C4×C17C2311yescharacteristic
278C2×C22⋊C4×C17C2311yescharacteristic
279C2×C22⋊C4×C17C2311yescharacteristic
280C2×C22⋊C4×C17C2311yescharacteristic
281C2×C22⋊C4×C17C2311yescharacteristic
282C2×C22⋊C4×C17C2311yescharacteristic
283C2×C22⋊C4×C17C2311yescharacteristic
284C2×C22⋊C4×C17C2311yescharacteristic
285C2×C22⋊C4×C17C2311yescharacteristic
286C2×C22⋊C4×C17C2311yescharacteristic
287C2×C22⋊C4×C17C2311yescharacteristic
288C2×C22⋊C4×C17C2311yescharacteristic
289C2×C22⋊C4×C17C2311yescharacteristic
290C2×C22⋊C4×C17C2311yescharacteristic
291C2×C22⋊C4×C17C2311yescharacteristic
292C2×C22⋊C4×C17C2311yescharacteristic
293C2×C22⋊C4×C17C2311yescharacteristic
294C2×C22⋊C4×C17C2311yescharacteristic
295C2×C22⋊C4×C17C2311yescharacteristic
296C2×C22⋊C4×C17C2311yescharacteristic
297C2×C22⋊C4×C17C2311yescharacteristic
298C2×C22⋊C4×C17C2311yescharacteristic
299C2×C22⋊C4×C17C2311yescharacteristic
300C2×C22⋊C4×C17C2311yescharacteristic
301C2×C22⋊C4×C17C2311yescharacteristic
302C2×C22⋊C4×C17C2311yescharacteristic
303C2×C22⋊C4×C17C2311yescharacteristic
304C2×C22⋊C4×C17C2311yescharacteristic
305C2×C22⋊C4×C17C2311yescharacteristic
306C2×C22⋊C4×C17C2311yescharacteristic
307C2×C22⋊C4×C17C2311yescharacteristic
308C2×C22⋊C4×C17C2311yescharacteristic
309C2×C22⋊C4×C17C2311yescharacteristic
310C2×C22⋊C4×C17C2311yescharacteristic
311C2×C42×C17—42no—
312C2×C42×C17C2311yescharacteristic
313C2×C42×C17C2311yescharacteristic
314C2×C42×C17C2311yescharacteristic
315C2×C42×C17C2311yescharacteristic
316C2×C42×C17C2311yescharacteristic
317C2×C42×C17C2311yescharacteristic
318C2×C42×C17C2311yescharacteristic
319C17×#95C2311yescharacteristic
320C17×#95C2311yescharacteristic
321C17×#95C2311yescharacteristic
322C17×#95C2311yescharacteristic
323C17×#95C2311yescharacteristic
324C17×#95C2311yescharacteristic
325C17×#95C2311yescharacteristic
326C17×#95C2311yescharacteristic
327C17×#95C2311yescharacteristic
328C17×#95C2311yescharacteristic
329C17×#95C2311yescharacteristic
330C17×#95C2311yescharacteristic
331C17×#95C2311yescharacteristic
332C17×#95C2311yescharacteristic
333C17×#95C2311yescharacteristic
334C17×#95C2311yescharacteristic
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349C17×#95C2311yescharacteristic
350C17×#95C2311yescharacteristic
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C24×C17—22no—
364C24×C17—22no—
365C24×C17—22no—
366C24×C17—41no—
367C24×C17—41no—
368C24×C17—41no—
369C24×C17—41no—
370C24×C17—41no—
371C24×C17—41no—
372C24×C17—41no—
373C24×C17—41no—
374C24×C17—41no—
375C24×C17—41no—
376C24×C17#4114yes—
377C24×C17C2411yescharacteristic
378C24×C17C2411yescharacteristic
379C24×C17C2411yescharacteristic
380C24×C17C2411yescharacteristic
381C24×C17C2411yescharacteristic
382C24×C17C2411yescharacteristic
383C2×Q8×C17—22no—
384C2×Q8×C17—41no—
385C2×Q8×C17—41no—
386C2×D4×C17—22no—
387C2×D4×C17—22no—
388C2×D4×C17—22no—
389C2×D4×C17—22no—
390C2×D4×C17—22no—
391C2×D4×C17—22no—
392C2×D4×C17—22no—
393C2×D4×C17—22no—
394C2×D4×C17—22no—
395C2×D4×C17—22no—
396C2×D4×C17—22no—
397C2×D4×C17—22no—
398C2×D4×C17—22no—
399C2×D4×C17—22no—
400C2×D4×C17—41no—
401C2×D4×C17—41no—
402C2×D4×C17—41no—
403C2×D4×C17—41no—
404C2×D4×C17—41no—
405C2×D4×C17—41no—
406C2×D4×C17—41no—
407C2×D4×C17—41no—
408C2×D4×C17—41no—
409C2×D4×C17—41no—
410C2×D4×C17—41no—
411C2×D4×C17—41no—
412C2×D4×C17—41no—
413C2×D4×C17—416no—
414C22×C4×C17—22no—
415C22×C4×C17—22no—
416C22×C4×C17—22no—
417C22×C4×C17—22no—
418C22×C4×C17—22no—
419C22×C4×C17—22no—
420C22×C4×C17—22no—
421C22×C4×C17—22no—
422C22×C4×C17—22no—
423C22×C4×C17—22no—
424C22×C4×C17—41no—
425C22×C4×C17—41no—
426C22×C4×C17—41no—
427C22×C4×C17—41no—
428C22×C4×C17—41no—
429C22×C4×C17—41no—
430C22×C4×C17—41no—
431C22×C4×C17—41no—
432C22×C4×C17—41no—
433C22×C4×C17—41no—
434C22×C4×C17—41no—
435C22×C4×C17—41no—
436C22×C4×C17—41no—
437C22×C4×C17—41no—
438C22×C4×C17—41no—
439C22×C4×C17—41no—
440C22×C4×C17—41no—
441C22×C4×C17—41no—
442C22×C4×C17—41no—
443C22×C4×C17—41no—
444C22×C4×C17C2411yescharacteristic
445C22×C4×C17C2411yescharacteristic
446C22×C4×C17C2411yescharacteristic
447C22×C4×C17C2411yescharacteristic
448C22×C4×C17C2411yescharacteristic
449C22×C4×C17C2411yescharacteristic
450C22×C4×C17C2411yescharacteristic
451C22×C4×C17C2411yescharacteristic
452C22×C4×C17C2411yescharacteristic
453C22×C4×C17C2411yescharacteristic
454C22×C4×C17C2411yescharacteristic
455C22×C4×C17C2411yescharacteristic
456C22×C4×C17C2411yescharacteristic
457C22×C4×C17C2411yescharacteristic
458C22×C4×C17C2411yescharacteristic
459C22×C4×C17C2411yescharacteristic
460C22×C4×C17C2411yescharacteristic
461C22×C4×C17C2411yescharacteristic
462C22×C4×C17C2411yescharacteristic
463C22×C4×C17C2411yescharacteristic
464C22×C4×C17C2411yescharacteristic
465C22×C4×C17C2411yescharacteristic
466C22×C4×C17C2411yescharacteristic
467C22×C4×C17C2411yescharacteristic
468C22×C4×C17C2411yescharacteristic
469C4⋊C4×C17—22no—
470C4⋊C4×C17—41no—
471C4⋊C4×C17—41no—
472C4⋊C4×C17—41no—
473C4⋊C4×C17—41no—
474C4⋊C4×C17—41no—
475C4⋊C4×C17—41no—
476C4⋊C4×C17—41no—
477C4⋊C4×C17—41no—
478C4⋊C4×C17—41no—
479C4⋊C4×C17—41no—
480C4⋊C4×C17—41no—
481C4⋊C4×C17—41no—
482C4⋊C4×C17—41no—
483C4⋊C4×C17—41no—
484C4⋊C4×C17—41no—
485C4⋊C4×C17—41no—
486C4⋊C4×C17—41no—
487C4⋊C4×C17—41no—
488C4⋊C4×C17—41no—
489C4⋊C4×C17—41no—
490C4⋊C4×C17—41no—
491C4⋊C4×C17—41no—
492C4⋊C4×C17—41no—
493C4⋊C4×C17—41no—
494C4⋊C4×C17—41no—
495C22⋊C4×C17—22no—
496C22⋊C4×C17—22no—
497C22⋊C4×C17—22no—
498C22⋊C4×C17—22no—
499C22⋊C4×C17—22no—
500C22⋊C4×C17—22no—
501C22⋊C4×C17—22no—
502C22⋊C4×C17—22no—
503C22⋊C4×C17—22no—
504C22⋊C4×C17—22no—
505C22⋊C4×C17—22no—
506C22⋊C4×C17—22no—
507C22⋊C4×C17—22no—
508C22⋊C4×C17—22no—
509C22⋊C4×C17—41no—
510C22⋊C4×C17—41no—
511C22⋊C4×C17—41no—
512C22⋊C4×C17—41no—
513C22⋊C4×C17—41no—
514C22⋊C4×C17—41no—
515C22⋊C4×C17—41no—
516C22⋊C4×C17—41no—
517C22⋊C4×C17—41no—
518C22⋊C4×C17—41no—
519C22⋊C4×C17—41no—
520C22⋊C4×C17—41no—
521C22⋊C4×C17—41no—
522C22⋊C4×C17—41no—
523C22⋊C4×C17—41no—
524C22⋊C4×C17—41no—
525C22⋊C4×C17—41no—
526C22⋊C4×C17—41no—
527C22⋊C4×C17—41no—
528C22⋊C4×C17—41no—
529C22⋊C4×C17—41no—
530C22⋊C4×C17—41no—
531C22⋊C4×C17—41no—
532C22⋊C4×C17—41no—
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—
551C42×C17—22no—
552C42×C17—22no—
553C42×C17—41no—
554C42×C17—41no—
555C42×C17—41no—
556C42×C17—41no—
557C42×C17—41no—
558#36779C1711yesmaximal, characteristic, direct product factor, Sylow
559C23×C17—21no—
560C23×C17—21no—
561C23×C17—21no—
562C23×C17—21no—
563C23×C17—21no—
564C23×C17—21no—
565C23×C17—21no—
566C23×C17—21no—
567C23×C17—21no—
568C23×C17—21no—
569C23×C17—21no—
570C23×C17—21no—
571C23×C17—21no—
572C23×C17—21no—
573C23×C17—21no—
574C23×C17—21no—
575C23×C17—28no—
576C23×C17—21no—
577C23×C17—21no—
578C23×C17—21no—
579C23×C17—21no—
580C23×C17—21no—
581C23×C17—21no—
582C23×C17—21no—
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—44no—
598C23×C17—44no—
599C23×C17—44no—
600C23×C17—82no—
601C23×C17—82no—
602C23×C17—82no—
603C23×C17—82no—
604C23×C17—82no—
605C23×C17—82no—
606C23×C17—82no—
607C23×C17—82no—
608C23×C17—82no—
609C23×C17—82no—
610C23×C17C2×#4112yes—
611C23×C17C2×#4112yes—
612C23×C17C2×#4112yes—
613C23×C17H(5,𝔽2)12yes—
614C23×C17H(5,𝔽2)12yes—
615C23×C17C2511yescharacteristic
616Q8×C17—82no—
617D4×C17—44no—
618D4×C17—44no—
619D4×C17—44no—
620D4×C17—44no—
621D4×C17—44no—
622D4×C17—82no—
623D4×C17—82no—
624D4×C17—82no—
625D4×C17—82no—
626C2×C4×C17—21no—
627C2×C4×C17—21no—
628C2×C4×C17—21no—
629C2×C4×C17—21no—
630C2×C4×C17—21no—
631C2×C4×C17—21no—
632C2×C4×C17—21no—
633C2×C4×C17—21no—
634C2×C4×C17—21no—
635C2×C4×C17—21no—
636C2×C4×C17—21no—
637C2×C4×C17—21no—
638C2×C4×C17—21no—
639C2×C4×C17—21no—
640C2×C4×C17—21no—
641C2×C4×C17—21no—
642C2×C4×C17—21no—
643C2×C4×C17—21no—
644C2×C4×C17—21no—
645C2×C4×C17—21no—
646C2×C4×C17—21no—
647C2×C4×C17—21no—
648C2×C4×C17—21no—
649C2×C4×C17—21no—
650C2×C4×C17—21no—
651C2×C4×C17—21no—
652C2×C4×C17—21no—
653C2×C4×C17—21no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—21no—
693C2×C4×C17—21no—
694C2×C4×C17—21no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—44no—
701C2×C4×C17—44no—
702C2×C4×C17—44no—
703C2×C4×C17—44no—
704C2×C4×C17—44no—
705C2×C4×C17—82no—
706C2×C4×C17—82no—
707C2×C4×C17—82no—
708C2×C4×C17—82no—
709C2×C4×C17—82no—
710C2×C4×C17H(5,𝔽2)12yes—
711#2852C2×C1711yescharacteristic, complemented
712#2850C2×C1711yescharacteristic, complemented
713#2781C2×C1711yescharacteristic, complemented
714#2781C2×C1711yescharacteristic, complemented
715#2778C2×C1711yescharacteristic, complemented
716#2765C2×C1711yescharacteristic, complemented
717#2764C2×C1711yescharacteristic, complemented
718#2761C2×C1711yescharacteristic, complemented
719#2756C2×C1711yescharacteristic, complemented
720#2749C2×C1711yescharacteristic, complemented
721#2743C2×C1711yescharacteristic, complemented
722#2741C2×C1711yescharacteristic, complemented
723#2735C2×C1711yescharacteristic, complemented
724#2735C2×C1711yescharacteristic, complemented
725#2730C2×C1711yescharacteristic, complemented
726#2702C2×C1711yescharacteristic, complemented
727#2685C2×C1711yescharacteristic, complemented
728#2684C2×C1711yescharacteristic, complemented
729#2623C2×C1711yescharacteristic, complemented
730#2618C2×C1711yescharacteristic, complemented
731#2510C2×C1711yescharacteristic, complemented
732#2488C2×C1711yescharacteristic, complemented
733#2444C2×C1711yescharacteristic, complemented
734#2437C2×C1711yescharacteristic, complemented
735#2425C2×C1711yescharacteristic, complemented
736#2412C2×C1711yescharacteristic, complemented
737#2410C2×C1711yescharacteristic
738#2405C2×C1711yescharacteristic, complemented
739#2321C2×C1711yescharacteristic, complemented
740#2308C2×C1711yescharacteristic, complemented
741C2×#388C2×C1711yescharacteristic, complemented
742C22×C17—22no—
743C22×C17—22no—
744C22×C17—22no—
745C22×C17—22no—
746C22×C17—22no—
747C22×C17—22no—
748C22×C17—22no—
749C22×C17—22no—
750C22×C17—22no—
751C22×C17—22no—
752C22×C17—22no—
753C22×C17—22no—
754C22×C17—41no—
755C22×C17—41no—
756C22×C17—41no—
757C22×C17—41no—
758C22×C17—41no—
759C22×C17—41no—
760C22×C17—41no—
761C22×C17—41no—
762C22×C17—41no—
763C22×C17—41no—
764C22×C17—41no—
765C22×C17—41no—
766C22×C17—41no—
767C22×C17—41no—
768C22×C17—41no—
769C22×C17—41no—
770C22×C17—41no—
771C22×C17—41no—
772C22×C17—41no—
773C22×C17—41no—
774C22×C17—41no—
775C22×C17—41no—
776C22×C17—41no—
777C22×C17—41no—
778C22×C17—41no—
779C22×C17—41no—
780C22×C17—41no—
781C22×C17—41no—
782C22×C17—41no—
783C22×C17—88no—
784C22×C17—88no—
785C22×C17#53814yes—
786C22×C17C22×#4111yescharacteristic
787C22×C17C2×H(5,𝔽2)11yescharacteristic
788C22×C17C2×H(5,𝔽2)11yescharacteristic
789C22×C17C2×H(5,𝔽2)11yescharacteristic
790C22×C17#58511yescharacteristic
791C22×C17#58511yescharacteristic
792C22×C17#58511yescharacteristic
793C4×C17—22no—
794C4×C17—41no—
795C4×C17—41no—
796C4×C17—41no—
797C4×C17—41no—
798C4×C17—41no—
799C4×C17—41no—
800C4×C17—41no—
801C4×C17—41no—
802C4×C17—41no—
803C4×C17—41no—
804C4×C17—41no—
805C4×C17—41no—
806C4×C17—41no—
807C4×C17—41no—
808C4×C17—41no—
809C4×C17—41no—
810C4×C17—41no—
811C4×C17—41no—
812C4×C17—41no—
813C4×C17—41no—
814C4×C17—41no—
815C4×C17—41no—
816C4×C17—41no—
817C4×C17—41no—
818C23×D4C22×C1711yescharacteristic
819C2×#126C22×C1711yescharacteristic, complemented
820C2×#124C22×C1711yescharacteristic, complemented
821C2×#123C22×C1711yescharacteristic
822C2×#123C22×C1711yescharacteristic
823C2×#123C22×C1711yescharacteristic, complemented
824C2×C22⋊Q8C22×C1711yescharacteristic, complemented
825C2×C22⋊Q8C22×C1711yescharacteristic, complemented
826C2×#121C22×C1711yescharacteristic
827C2×#121C22×C1711yescharacteristic
828C2×#120C22×C1711yescharacteristic
829C2×#120C22×C1711yescharacteristic
830C2×C4×D4C22×C1711yescharacteristic, complemented
831C22×C4⋊C4C22×C1711yescharacteristic, complemented
832C22×C22⋊C4C22×C1711yescharacteristic
833C22×C22⋊C4C22×C1711yescharacteristic
834C22×C22⋊C4C22×C1711yescharacteristic
835C22×C22⋊C4C22×C1711yescharacteristic
836C22×C42C22×C1711yescharacteristic, complemented
837#401C22×C1711yescharacteristic, complemented
838#400C22×C1711yescharacteristic, complemented
839#400C22×C1711yescharacteristic, complemented
840#400C22×C1711yescharacteristic, complemented
841#400C22×C1711yescharacteristic, complemented
842#400C22×C1711yescharacteristic, complemented
843#400C22×C1711yescharacteristic, complemented
844#399C22×C1711yescharacteristic
845#399C22×C1711yescharacteristic, complemented
846#399C22×C1711yescharacteristic, complemented
847#398C22×C1711yescharacteristic, complemented
848#398C22×C1711yescharacteristic, complemented
849#398C22×C1711yescharacteristic, complemented
850#398C22×C1711yescharacteristic, complemented
851#398C22×C1711yescharacteristic, complemented
852#397C22×C1711yescharacteristic
853#397C22×C1711yescharacteristic
854#397C22×C1711yescharacteristic, complemented
855#397C22×C1711yescharacteristic, complemented
856#397C22×C1711yescharacteristic, complemented
857#397C22×C1711yescharacteristic, complemented
858#397C22×C1711yescharacteristic, complemented
859#397C22×C1711yescharacteristic, complemented
860#397C22×C1711yescharacteristic, complemented
861#397C22×C1711yescharacteristic, complemented
862#396C22×C1711yescharacteristic
863#396C22×C1711yescharacteristic
864#396C22×C1711yescharacteristic, complemented
865#396C22×C1711yescharacteristic, complemented
866#396C22×C1711yescharacteristic, complemented
867#396C22×C1711yescharacteristic, complemented
868#396C22×C1711yescharacteristic, complemented
869#394C22×C1711yescharacteristic
870#394C22×C1711yescharacteristic
871#394C22×C1711yescharacteristic
872#394C22×C1711yescharacteristic
873#394C22×C1711yescharacteristic
874#394C22×C1711yescharacteristic
875#394C22×C1711yescharacteristic
876#394C22×C1711yescharacteristic
877#394C22×C1711yescharacteristic, complemented
878#394C22×C1711yescharacteristic, complemented
879#394C22×C1711yescharacteristic, complemented
880#394C22×C1711yescharacteristic, complemented
881#393C22×C1711yescharacteristic
882#393C22×C1711yescharacteristic, complemented
883#392C22×C1711yescharacteristic
884#392C22×C1711yescharacteristic
885#391C22×C1711yescharacteristic, complemented
886#391C22×C1711yescharacteristic, complemented
887#390C22×C1711yescharacteristic
888#390C22×C1711yescharacteristic, complemented
889#390C22×C1711yescharacteristic, complemented
890#389C22×C1711yescharacteristic, complemented
891#388C22×C1711yescharacteristic
892#388C22×C1711yescharacteristic
893#388C22×C1711yescharacteristic
894#388C22×C1711yescharacteristic
895#388C22×C1711yescharacteristic
896#388C22×C1711yescharacteristic
897#388C22×C1711yescharacteristic, complemented
898#388C22×C1711yescharacteristic, complemented
899#388C22×C1711yescharacteristic, complemented
900#388C22×C1711yescharacteristic, complemented
901#388C22×C1711yescharacteristic, complemented
902#388C22×C1711yescharacteristic, complemented
903#388C22×C1711yescharacteristic, complemented
904#388C22×C1711yescharacteristic, complemented
905#388C22×C1711yescharacteristic, complemented
906#388C22×C1711yescharacteristic, complemented
907#388C22×C1711yescharacteristic, complemented
908#388C22×C1711yescharacteristic, complemented
909#388C22×C1711yescharacteristic, complemented
910#388C22×C1711yescharacteristic, complemented
911#388C22×C1711yescharacteristic, complemented
912#388C22×C1711yescharacteristic, complemented
913#388C22×C1711yescharacteristic, complemented
914#388C22×C1711yescharacteristic, complemented
915#388C22×C1711yescharacteristic, complemented
916#387C22×C1711yescharacteristic, complemented
917#387C22×C1711yescharacteristic, complemented
918#387C22×C1711yescharacteristic, complemented
919#387C22×C1711yescharacteristic, complemented
920#387C22×C1711yescharacteristic, complemented
921#386C22×C1711yescharacteristic
922#386C22×C1711yescharacteristic
923#386C22×C1711yescharacteristic
924#386C22×C1711yescharacteristic
925#386C22×C1711yescharacteristic
926#386C22×C1711yescharacteristic
927#386C22×C1711yescharacteristic
928#386C22×C1711yescharacteristic
929#386C22×C1711yescharacteristic
930#386C22×C1711yescharacteristic
931#386C22×C1711yescharacteristic
932#386C22×C1711yescharacteristic
933#386C22×C1711yescharacteristic
934#386C22×C1711yescharacteristic
935#386C22×C1711yescharacteristic, complemented
936#386C22×C1711yescharacteristic, complemented
937#386C22×C1711yescharacteristic, complemented
938#386C22×C1711yescharacteristic, complemented
939#386C22×C1711yescharacteristic, complemented
940#386C22×C1711yescharacteristic, complemented
941#386C22×C1711yescharacteristic, complemented
942#385C22×C1711yescharacteristic
943#385C22×C1711yescharacteristic
944#385C22×C1711yescharacteristic
945#385C22×C1711yescharacteristic, complemented
946#385C22×C1711yescharacteristic, complemented
947#385C22×C1711yescharacteristic, complemented
948#385C22×C1711yescharacteristic, complemented
949#385C22×C1711yescharacteristic, complemented
950#385C22×C1711yescharacteristic, complemented
951#383C22×C1711yescharacteristic, complemented
952#383C22×C1711yescharacteristic, complemented
953#382C22×C1711yescharacteristic, complemented
954#382C22×C1711yescharacteristic, complemented
955#381C22×C1711yescharacteristic
956#381C22×C1711yescharacteristic
957#381C22×C1711yescharacteristic, complemented
958#381C22×C1711yescharacteristic, complemented
959#380C22×C1711yescharacteristic, complemented
960#380C22×C1711yescharacteristic, complemented
961#380C22×C1711yescharacteristic, complemented
962#380C22×C1711yescharacteristic, complemented
963#380C22×C1711yescharacteristic, complemented
964#379C22×C1711yescharacteristic
965#379C22×C1711yescharacteristic
966#379C22×C1711yescharacteristic
967#379C22×C1711yescharacteristic
968#379C22×C1711yescharacteristic
969#379C22×C1711yescharacteristic
970C4×C22⋊C4C22×C1711yescharacteristic, complemented
971C2×#95C22×C1711yescharacteristic, complemented
972C2×#95C22×C1711yescharacteristic, complemented
973C2×C17—24no—
974C2×C17—42no—
975C2×C17—42no—
976C2×C17—81no—
977C2×C17—81no—
978C2×C17—81no—
979C2×C17C2×#53811yescharacteristic
980C2×C17#349111yescharacteristic
981C2×C17#350511yescharacteristic
982C2×C17#353411yescharacteristic
983C2×C17#354211yescharacteristic
984C2×C17#354511yescharacteristic
985C2×C17#356011yescharacteristic
986C25C23×C1711yescharacteristic
987C25C23×C1711yescharacteristic
988C22×Q8C23×C1711yescharacteristic
989C22×D4—24no—
990C22×D4—42no—
991C22×D4—42no—
992C22×D4C23×C1711yescharacteristic
993C22×D4C23×C1711yescharacteristic
994C22×D4C23×C1711yescharacteristic
995C22×D4C23×C1711yescharacteristic
996C22×D4C23×C1711yescharacteristic
997C22×D4C23×C1711yescharacteristic
998C22×D4C23×C1711yescharacteristic
999C22×D4C23×C1711yescharacteristic
1000C22×D4C23×C1711yescharacteristic
1001C23×C4C23×C1711yescharacteristic
1002C23×C4C23×C1711yescharacteristic
1003C23×C4C23×C1711yescharacteristic
1004C23×C4C23×C1711yescharacteristic
1005C23×C4C23×C1711yescharacteristic
1006C23×C4C23×C1711yescharacteristic
1007C23×C4C23×C1711yescharacteristic
1008C23×C4C23×C1711yescharacteristic
1009C23×C4C23×C1711yescharacteristic
1010C23×C4C23×C1711yescharacteristic
1011#126—42no—
1012#124—42no—
1013#123—42no—
1014#123—42no—
1015#123—42no—
1016C22⋊Q8—42no—
1017C22⋊Q8—42no—
1018#121—42no—
1019#121—42no—
1020#120—24no—
1021#120—42no—
1022C4×D4—42no—
1023C2×C4⋊C4—42no—
1024C2×C4⋊C4C23×C1711yescharacteristic
1025C2×C4⋊C4C23×C1711yescharacteristic
1026C2×C4⋊C4C23×C1711yescharacteristic
1027C2×C4⋊C4C23×C1711yescharacteristic
1028C2×C4⋊C4C23×C1711yescharacteristic
1029C2×C4⋊C4C23×C1711yescharacteristic
1030C2×C4⋊C4C23×C1711yescharacteristic
1031C2×C4⋊C4C23×C1711yescharacteristic
1032C2×C4⋊C4C23×C1711yescharacteristic
1033C2×C4⋊C4C23×C1711yescharacteristic
1034C2×C4⋊C4C23×C1711yescharacteristic
1035C2×C4⋊C4C23×C1711yescharacteristic
1036C2×C4⋊C4C23×C1711yescharacteristic
1037C2×C4⋊C4C23×C1711yescharacteristic
1038C2×C4⋊C4C23×C1711yescharacteristic
1039C2×C4⋊C4C23×C1711yescharacteristic
1040C2×C4⋊C4C23×C1711yescharacteristic
1041C2×C4⋊C4C23×C1711yescharacteristic
1042C2×C4⋊C4C23×C1711yescharacteristic
1043C2×C4⋊C4C23×C1711yescharacteristic
1044C2×C4⋊C4C23×C1711yescharacteristic
1045C2×C4⋊C4C23×C1711yescharacteristic
1046C2×C4⋊C4C23×C1711yescharacteristic
1047C2×C4⋊C4C23×C1711yescharacteristic
1048C2×C4⋊C4C23×C1711yescharacteristic
1049C2×C4⋊C4C23×C1711yescharacteristic
1050C2×C22⋊C4—24no—
1051C2×C22⋊C4—42no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—42no—
1054C2×C22⋊C4C23×C1711yescharacteristic
1055C2×C22⋊C4C23×C1711yescharacteristic
1056C2×C22⋊C4C23×C1711yescharacteristic
1057C2×C22⋊C4C23×C1711yescharacteristic
1058C2×C22⋊C4C23×C1711yescharacteristic
1059C2×C22⋊C4C23×C1711yescharacteristic
1060C2×C22⋊C4C23×C1711yescharacteristic
1061C2×C22⋊C4C23×C1711yescharacteristic
1062C2×C22⋊C4C23×C1711yescharacteristic
1063C2×C22⋊C4C23×C1711yescharacteristic
1064C2×C22⋊C4C23×C1711yescharacteristic
1065C2×C22⋊C4C23×C1711yescharacteristic
1066C2×C22⋊C4C23×C1711yescharacteristic
1067C2×C22⋊C4C23×C1711yescharacteristic
1068C2×C22⋊C4C23×C1711yescharacteristic
1069C2×C22⋊C4C23×C1711yescharacteristic
1070C2×C22⋊C4C23×C1711yescharacteristic
1071C2×C22⋊C4C23×C1711yescharacteristic
1072C2×C22⋊C4C23×C1711yescharacteristic
1073C2×C22⋊C4C23×C1711yescharacteristic
1074C2×C22⋊C4C23×C1711yescharacteristic
1075C2×C22⋊C4C23×C1711yescharacteristic
1076C2×C22⋊C4C23×C1711yescharacteristic
1077C2×C22⋊C4C23×C1711yescharacteristic
1078C2×C22⋊C4C23×C1711yescharacteristic
1079C2×C22⋊C4C23×C1711yescharacteristic
1080C2×C22⋊C4C23×C1711yescharacteristic
1081C2×C22⋊C4C23×C1711yescharacteristic
1082C2×C22⋊C4C23×C1711yescharacteristic
1083C2×C22⋊C4C23×C1711yescharacteristic
1084C2×C22⋊C4C23×C1711yescharacteristic
1085C2×C22⋊C4C23×C1711yescharacteristic
1086C2×C22⋊C4C23×C1711yescharacteristic
1087C2×C22⋊C4C23×C1711yescharacteristic
1088C2×C22⋊C4C23×C1711yescharacteristic
1089C2×C22⋊C4C23×C1711yescharacteristic
1090C2×C22⋊C4C23×C1711yescharacteristic
1091C2×C22⋊C4C23×C1711yescharacteristic
1092C2×C22⋊C4C23×C1711yescharacteristic
1093C2×C22⋊C4C23×C1711yescharacteristic
1094C2×C22⋊C4C23×C1711yescharacteristic
1095C2×C22⋊C4C23×C1711yescharacteristic
1096C2×C22⋊C4C23×C1711yescharacteristic
1097C2×C22⋊C4C23×C1711yescharacteristic
1098C2×C22⋊C4C23×C1711yescharacteristic
1099C2×C22⋊C4C23×C1711yescharacteristic
1100C2×C22⋊C4C23×C1711yescharacteristic
1101C2×C22⋊C4C23×C1711yescharacteristic
1102C2×C22⋊C4C23×C1711yescharacteristic
1103C2×C22⋊C4C23×C1711yescharacteristic
1104C2×C22⋊C4C23×C1711yescharacteristic
1105C2×C22⋊C4C23×C1711yescharacteristic
1106C2×C22⋊C4C23×C1711yescharacteristic
1107C2×C22⋊C4C23×C1711yescharacteristic
1108C2×C22⋊C4C23×C1711yescharacteristic
1109C2×C22⋊C4C23×C1711yescharacteristic
1110C2×C42—42no—
1111C2×C42C23×C1711yescharacteristic
1112C2×C42C23×C1711yescharacteristic
1113C2×C42C23×C1711yescharacteristic
1114C2×C42C23×C1711yescharacteristic
1115C2×C42C23×C1711yescharacteristic
1116C2×C42C23×C1711yescharacteristic
1117C2×C42C23×C1711yescharacteristic
1118#95C23×C1711yescharacteristic
1119#95C23×C1711yescharacteristic
1120#95C23×C1711yescharacteristic
1121#95C23×C1711yescharacteristic
1122#95C23×C1711yescharacteristic
1123#95C23×C1711yescharacteristic
1124#95C23×C1711yescharacteristic
1125#95C23×C1711yescharacteristic
1126#95C23×C1711yescharacteristic
1127#95C23×C1711yescharacteristic
1128#95C23×C1711yescharacteristic
1129#95C23×C1711yescharacteristic
1130#95C23×C1711yescharacteristic
1131#95C23×C1711yescharacteristic
1132#95C23×C1711yescharacteristic
1133#95C23×C1711yescharacteristic
1134#95C23×C1711yescharacteristic
1135#95C23×C1711yescharacteristic
1136#95C23×C1711yescharacteristic
1137#95C23×C1711yescharacteristic
1138#95C23×C1711yescharacteristic
1139#95C23×C1711yescharacteristic
1140#95C23×C1711yescharacteristic
1141#95C23×C1711yescharacteristic
1142#95C23×C1711yescharacteristic
1143#95C23×C1711yescharacteristic
1144#95C23×C1711yescharacteristic
1145#95C23×C1711yescharacteristic
1146#95C23×C1711yescharacteristic
1147#95C23×C1711yescharacteristic
1148#95C23×C1711yescharacteristic
1149#95C23×C1711yescharacteristic
1150#95C23×C1711yescharacteristic
1151#95C23×C1711yescharacteristic
1152#95C23×C1711yescharacteristic
1153#95C23×C1711yescharacteristic
1154#95C23×C1711yescharacteristic
1155#95C23×C1711yescharacteristic
1156#95C23×C1711yescharacteristic
1157#95C23×C1711yescharacteristic
1158#95C23×C1711yescharacteristic
1159#95C23×C1711yescharacteristic
1160#95C23×C1711yescharacteristic
1161#95C23×C1711yescharacteristic
1162C17#3677911yescharacteristic, direct product factor, Sylow
1163C24—22no—
1164C24—22no—
1165C24—22no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24—41no—
1176C24#41×C1714yes—
1177C24C24×C1711yescharacteristic
1178C24C24×C1711yescharacteristic
1179C24C24×C1711yescharacteristic
1180C24C24×C1711yescharacteristic
1181C24C24×C1711yescharacteristic
1182C24C24×C1711yescharacteristic
1183C2×Q8—22no—
1184C2×Q8—41no—
1185C2×Q8—41no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—416no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4C24×C1711yescharacteristic
1245C22×C4C24×C1711yescharacteristic
1246C22×C4C24×C1711yescharacteristic
1247C22×C4C24×C1711yescharacteristic
1248C22×C4C24×C1711yescharacteristic
1249C22×C4C24×C1711yescharacteristic
1250C22×C4C24×C1711yescharacteristic
1251C22×C4C24×C1711yescharacteristic
1252C22×C4C24×C1711yescharacteristic
1253C22×C4C24×C1711yescharacteristic
1254C22×C4C24×C1711yescharacteristic
1255C22×C4C24×C1711yescharacteristic
1256C22×C4C24×C1711yescharacteristic
1257C22×C4C24×C1711yescharacteristic
1258C22×C4C24×C1711yescharacteristic
1259C22×C4C24×C1711yescharacteristic
1260C22×C4C24×C1711yescharacteristic
1261C22×C4C24×C1711yescharacteristic
1262C22×C4C24×C1711yescharacteristic
1263C22×C4C24×C1711yescharacteristic
1264C22×C4C24×C1711yescharacteristic
1265C22×C4C24×C1711yescharacteristic
1266C22×C4C24×C1711yescharacteristic
1267C22×C4C24×C1711yescharacteristic
1268C22×C4C24×C1711yescharacteristic
1269C4⋊C4—22no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
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—41no—
1310C22⋊C4—41no—
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—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C42—22no—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—41no—
1356C42—41no—
1357C42—41no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—28no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—82no—
1400C23—82no—
1401C23—82no—
1402C23—82no—
1403C23—82no—
1404C23—82no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—82no—
1409C23C2×#41×C1712yes—
1410C23C2×#41×C1712yes—
1411C23C2×#41×C1712yes—
1412C23C17×H(5,𝔽2)12yes—
1413C23C17×H(5,𝔽2)12yes—
1414C23C25×C1711yescharacteristic
1415Q8—82no—
1416D4—44no—
1417D4—44no—
1418D4—44no—
1419D4—44no—
1420D4—44no—
1421D4—82no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4—82no—
1507C2×C4—82no—
1508C2×C4—82no—
1509C2×C4C17×H(5,𝔽2)12yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—88no—
1552C22—88no—
1553C22C17×#53814yes—
1554C22C22×#41×C1711yescharacteristic
1555C22C2×C17×H(5,𝔽2)11yescharacteristic
1556C22C2×C17×H(5,𝔽2)11yescharacteristic
1557C22C2×C17×H(5,𝔽2)11yescharacteristic
1558C22C17×#58511yescharacteristic
1559C22C17×#58511yescharacteristic
1560C22C17×#58511yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C2—24no—
1587C2—42no—
1588C2—42no—
1589C2—81no—
1590C2—81no—
1591C2—81no—
1592C2C2×C17×#53811yescharacteristic
1593C2C17×#349111yescharacteristic
1594C2C17×#350511yescharacteristic
1595C2C17×#353411yescharacteristic
1596C2C17×#354211yescharacteristic
1597C2C17×#354511yescharacteristic
1598C2C17×#356011yescharacteristic
subgroupG/H
center, socleC23×C17C25
commutator, Frattini, cosocleC23C25×C17
prime radicalC17×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C17 ◁ G

Complements

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

NH ≅ G/Ntype
1. C17×#2852C2semidirect
2. C17×#2850C2semidirect
3. C17×#2781C2semidirect
4. C17×#2781C2semidirect
5. C17×#2778C2semidirect
6. C17×#2765C2semidirect
7. C17×#2764C2semidirect
8. C17×#2761C2semidirect
9. C17×#2756C2semidirect
10. C17×#2749C2semidirect
11. C17×#2743C2semidirect
12. C17×#2741C2semidirect
13. C17×#2735C2semidirect
14. C17×#2735C2semidirect
15. C17×#2730C2semidirect
16. C17×#2702C2semidirect
17. C17×#2685C2semidirect
18. C17×#2684C2semidirect
19. C17×#2623C2semidirect
20. C17×#2618C2semidirect
21. C17×#2510C2semidirect
22. C17×#2488C2semidirect
23. C17×#2444C2semidirect
24. C17×#2437C2semidirect
25. C17×#2425C2semidirect
26. C17×#2412C2semidirect
28. C17×#2405C2semidirect
29. C17×#2321C2semidirect
30. C17×#2308C2semidirect
31. C2×C17×#388C2semidirect
33. C2×C17×#126C22semidirect
34. C2×C17×#124C22semidirect
37. C2×C17×#123C22semidirect
38. C2×C17×C22⋊Q8C22semidirect
39. C2×C17×C22⋊Q8C22semidirect
44. C2×C4×D4×C17C22semidirect
45. C22×C4⋊C4×C17C22semidirect
50. C22×C42×C17C22semidirect
51. C17×#401C22semidirect
52. C17×#400C22semidirect
53. C17×#400C22semidirect
54. C17×#400C22semidirect
55. C17×#400C22semidirect
56. C17×#400C22semidirect
57. C17×#400C22semidirect
59. C17×#399C22semidirect
60. C17×#399C22semidirect
61. C17×#398C22semidirect
62. C17×#398C22semidirect
63. C17×#398C22semidirect
64. C17×#398C22semidirect
65. C17×#398C22semidirect
68. C17×#397C22semidirect
69. C17×#397C22semidirect
70. C17×#397C22semidirect
71. C17×#397C22semidirect
72. C17×#397C22semidirect
73. C17×#397C22semidirect
74. C17×#397C22semidirect
75. C17×#397C22semidirect
78. C17×#396C22semidirect
79. C17×#396C22semidirect
80. C17×#396C22semidirect
81. C17×#396C22semidirect
82. C17×#396C22semidirect
91. C17×#394C22semidirect
92. C17×#394C22semidirect
93. C17×#394C22semidirect
94. C17×#394C22semidirect
96. C17×#393C22semidirect
99. C17×#391C22semidirect
100. C17×#391C22semidirect
102. C17×#390C22semidirect
103. C17×#390C22semidirect
104. C17×#389C22semidirect
111. C17×#388C22semidirect
112. C17×#388C22semidirect
113. C17×#388C22semidirect
114. C17×#388C22semidirect
115. C17×#388C22semidirect
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×#387C22semidirect
131. C17×#387C22semidirect
132. C17×#387C22semidirect
133. C17×#387C22semidirect
134. C17×#387C22semidirect
149. C17×#386C22semidirect
150. C17×#386C22semidirect
151. C17×#386C22semidirect
152. C17×#386C22semidirect
153. C17×#386C22semidirect
154. C17×#386C22semidirect
155. C17×#386C22semidirect
159. C17×#385C22semidirect
160. C17×#385C22semidirect
161. C17×#385C22semidirect
162. C17×#385C22semidirect
163. C17×#385C22semidirect
164. C17×#385C22semidirect
165. C17×#383C22semidirect
166. C17×#383C22semidirect
167. C17×#382C22semidirect
168. C17×#382C22semidirect
171. C17×#381C22semidirect
172. C17×#381C22semidirect
173. C17×#380C22semidirect
174. C17×#380C22semidirect
175. C17×#380C22semidirect
176. C17×#380C22semidirect
177. C17×#380C22semidirect
184. C4×C22⋊C4×C17C22semidirect
185. C2×C17×#95C22semidirect
186. C2×C17×#95C22semidirect
558. #36779C17direct (N × H)
711. #2852C2×C17semidirect
712. #2850C2×C17semidirect
713. #2781C2×C17semidirect
714. #2781C2×C17semidirect
715. #2778C2×C17semidirect
716. #2765C2×C17semidirect
717. #2764C2×C17semidirect
718. #2761C2×C17semidirect
719. #2756C2×C17semidirect
720. #2749C2×C17semidirect
721. #2743C2×C17semidirect
722. #2741C2×C17semidirect
723. #2735C2×C17semidirect
724. #2735C2×C17semidirect
725. #2730C2×C17semidirect
726. #2702C2×C17semidirect
727. #2685C2×C17semidirect
728. #2684C2×C17semidirect
729. #2623C2×C17semidirect
730. #2618C2×C17semidirect
731. #2510C2×C17semidirect
732. #2488C2×C17semidirect
733. #2444C2×C17semidirect
734. #2437C2×C17semidirect
735. #2425C2×C17semidirect
736. #2412C2×C17semidirect
738. #2405C2×C17semidirect
739. #2321C2×C17semidirect
740. #2308C2×C17semidirect
741. C2×#388C2×C17semidirect
819. C2×#126C22×C17semidirect
820. C2×#124C22×C17semidirect
823. C2×#123C22×C17semidirect
824. C2×C22⋊Q8C22×C17semidirect
825. C2×C22⋊Q8C22×C17semidirect
830. C2×C4×D4C22×C17semidirect
831. C22×C4⋊C4C22×C17semidirect
836. C22×C42C22×C17semidirect
837. #401C22×C17semidirect
838. #400C22×C17semidirect
839. #400C22×C17semidirect
840. #400C22×C17semidirect
841. #400C22×C17semidirect
842. #400C22×C17semidirect
843. #400C22×C17semidirect
845. #399C22×C17semidirect
846. #399C22×C17semidirect
847. #398C22×C17semidirect
848. #398C22×C17semidirect
849. #398C22×C17semidirect
850. #398C22×C17semidirect
851. #398C22×C17semidirect
854. #397C22×C17semidirect
855. #397C22×C17semidirect
856. #397C22×C17semidirect
857. #397C22×C17semidirect
858. #397C22×C17semidirect
859. #397C22×C17semidirect
860. #397C22×C17semidirect
861. #397C22×C17semidirect
864. #396C22×C17semidirect
865. #396C22×C17semidirect
866. #396C22×C17semidirect
867. #396C22×C17semidirect
868. #396C22×C17semidirect
877. #394C22×C17semidirect
878. #394C22×C17semidirect
879. #394C22×C17semidirect
880. #394C22×C17semidirect
882. #393C22×C17semidirect
885. #391C22×C17semidirect
886. #391C22×C17semidirect
888. #390C22×C17semidirect
889. #390C22×C17semidirect
890. #389C22×C17semidirect
897. #388C22×C17semidirect
898. #388C22×C17semidirect
899. #388C22×C17semidirect
900. #388C22×C17semidirect
901. #388C22×C17semidirect
902. #388C22×C17semidirect
903. #388C22×C17semidirect
904. #388C22×C17semidirect
905. #388C22×C17semidirect
906. #388C22×C17semidirect
907. #388C22×C17semidirect
908. #388C22×C17semidirect
909. #388C22×C17semidirect
910. #388C22×C17semidirect
911. #388C22×C17semidirect
912. #388C22×C17semidirect
913. #388C22×C17semidirect
914. #388C22×C17semidirect
915. #388C22×C17semidirect
916. #387C22×C17semidirect
917. #387C22×C17semidirect
918. #387C22×C17semidirect
919. #387C22×C17semidirect
920. #387C22×C17semidirect
935. #386C22×C17semidirect
936. #386C22×C17semidirect
937. #386C22×C17semidirect
938. #386C22×C17semidirect
939. #386C22×C17semidirect
940. #386C22×C17semidirect
941. #386C22×C17semidirect
945. #385C22×C17semidirect
946. #385C22×C17semidirect
947. #385C22×C17semidirect
948. #385C22×C17semidirect
949. #385C22×C17semidirect
950. #385C22×C17semidirect
951. #383C22×C17semidirect
952. #383C22×C17semidirect
953. #382C22×C17semidirect
954. #382C22×C17semidirect
957. #381C22×C17semidirect
958. #381C22×C17semidirect
959. #380C22×C17semidirect
960. #380C22×C17semidirect
961. #380C22×C17semidirect
962. #380C22×C17semidirect
963. #380C22×C17semidirect
970. C4×C22⋊C4C22×C17semidirect
971. C2×#95C22×C17semidirect
972. C2×#95C22×C17semidirect
1162. C17#36779direct (N × H)

Maximal subgroups

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

subgroupindex
C17×#28522
C17×#28502
C17×#27812
C17×#27782
C17×#27652
C17×#27642
C17×#27612
C17×#27562
C17×#27492
C17×#27432
C17×#27412
C17×#27352
C17×#27302
C17×#27022
C17×#26852
C17×#26842
C17×#26232
C17×#26182
C17×#25102
C17×#24882
C17×#24442
C17×#24372
C17×#24252
C17×#24122
C17×#24102
C17×#24052
C17×#23212
C17×#23082
C2×C17×#3882
#3677917