Finite Group Databasebeta

← C17×#61455 #16919199

Subgroups — C17×#61455 #16919199

Order 4352.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C17×#3482C211yesmaximal, characteristic, complemented
2C17×#3475C211yesmaximal, characteristic, complemented
3C17×#3402C211yesmaximal, characteristic, complemented
4C17×#3388C211yesmaximal, characteristic, complemented
5C17×#3377C211yesmaximal, characteristic, complemented
6C17×#3376C211yesmaximal, characteristic, complemented
7C17×#3348C211yesmaximal, characteristic, complemented
8C17×#3343C211yesmaximal, characteristic, complemented
9C17×#3336C211yesmaximal, characteristic, complemented
10C17×#3321C211yesmaximal, characteristic, complemented
11C17×#3315C211yesmaximal, characteristic, complemented
12C17×#3312C211yesmaximal, characteristic, complemented
13C17×#3306C211yesmaximal, characteristic, complemented
14C17×#3300C211yesmaximal, characteristic, complemented
15C17×#3296C211yesmaximal, characteristic, complemented
16C17×#3282C211yesmaximal, characteristic, complemented
17C17×#3269C211yesmaximal, characteristic, complemented
18C17×#3266C211yesmaximal, characteristic, complemented
19C17×#3183C211yesmaximal, characteristic, complemented
20C17×#3181C211yesmaximal, characteristic, complemented
21C17×#3181C211yesmaximal, characteristic, complemented
22C17×#3117C211yesmaximal, characteristic, complemented
23C17×#3116C211yesmaximal, characteristic, complemented
24C17×#3114C211yesmaximal, characteristic, complemented
25C17×#3113C211yesmaximal, characteristic, complemented
26C17×#3111C211yesmaximal, characteristic, complemented
27C17×#3111C211yesmaximal, characteristic, complemented
28C17×#2970C211yesmaximal, characteristic, complemented
29C4×C17×#137C211yesmaximal, characteristic, complemented
30C17×#2943C211yesmaximal, characteristic, complemented
31C2×C17×#440C211yesmaximal, characteristic, complemented
32C2×C17×#137C2211yescharacteristic
33C2×C17×#135C2211yescharacteristic
34C22×SD16×C17C2211yescharacteristic
35C17×#557C2211yescharacteristic, complemented
36C17×#556—21no—
37C17×#556C2211yescharacteristic
38C17×#556C2211yescharacteristic, complemented
39C17×#555C2211yescharacteristic
40C17×#554C2211yescharacteristic
41C17×#553—21no—
42C17×#552—21no—
43C17×#552—21no—
44C17×#552—21no—
45C17×#552C2211yescharacteristic
46C17×#552C2211yescharacteristic
47C17×#552C2211yescharacteristic
48C17×#552C2211yescharacteristic, complemented
49C17×#551—21no—
50C17×#551—21no—
51D4×Q8×C17C2211yescharacteristic
52C17×#548C2211yescharacteristic
53C17×#548C2211yescharacteristic, complemented
54C17×#547—21no—
55C17×#547C2211yescharacteristic
56C17×#547C2211yescharacteristic
57C17×#546C2211yescharacteristic
58C17×#546C2211yescharacteristic
59C17×#533—21no—
60C17×#533C2211yescharacteristic
61C17×#533C2211yescharacteristic, complemented
62C17×#529—21no—
63C17×#529—21no—
64C17×#529—21no—
65C17×#529—21no—
66C17×#529C2211yescharacteristic
67C17×#529C2211yescharacteristic
68C17×#529C2211yescharacteristic
69C17×#529C2211yescharacteristic, complemented
70C17×#525—21no—
71C4×#41×C17—21no—
72C4×#41×C17C2211yescharacteristic
73C4×#41×C17C2211yescharacteristic
74C4×#41×C17C2211yescharacteristic
75C4×#41×C17C2211yescharacteristic, complemented
76C2×C4×Q8×C17C2211yescharacteristic
77C2×C4×Q8×C17C2211yescharacteristic, complemented
78C2×C4×D4×C17C2211yescharacteristic
79C2×C17×#117—21no—
80C17×#501C2211yescharacteristic, complemented
81C17×#501C2211yescharacteristic, complemented
82C17×#499C2211yescharacteristic, complemented
83C17×#497C2211yescharacteristic
84C17×#497C2211yescharacteristic, complemented
85C17×#495C2211yescharacteristic
86C17×#491C2211yescharacteristic, complemented
87C17×#491C2211yescharacteristic, complemented
88C17×#489C2211yescharacteristic
89C17×#489C2211yescharacteristic, complemented
90C17×#488C2211yescharacteristic
91C17×#488C2211yescharacteristic, complemented
92C17×#485C2211yescharacteristic, complemented
93C17×#485C2211yescharacteristic, complemented
94C17×#485C2211yescharacteristic, complemented
95C17×#485C2211yescharacteristic, complemented
96C17×#484C2211yescharacteristic, complemented
97C17×#483C2211yescharacteristic
98C17×#483C2211yescharacteristic
99C17×#483C2211yescharacteristic
100C17×#482C2211yescharacteristic
101C17×#482C2211yescharacteristic, complemented
102C17×#481C2211yescharacteristic
103C17×#480C2211yescharacteristic
104C17×#479C2211yescharacteristic, complemented
105C17×#479C2211yescharacteristic, complemented
106C17×#479C2211yescharacteristic, complemented
107C17×#479C2211yescharacteristic, complemented
108C17×#478C2211yescharacteristic
109C17×#478C2211yescharacteristic
110C17×#478C2211yescharacteristic
111C17×#478C2211yescharacteristic, complemented
112C17×#477C2211yescharacteristic, complemented
113C17×#476C2211yescharacteristic
114C17×#475C2211yescharacteristic, complemented
115C17×#475C2211yescharacteristic, complemented
116C17×#470C2211yescharacteristic, complemented
117C17×#469C2211yescharacteristic
118C17×#468C2211yescharacteristic
119C17×#468C2211yescharacteristic, complemented
120C17×#467C2211yescharacteristic
121C17×#467C2211yescharacteristic
122C17×#467C2211yescharacteristic, complemented
123C17×#467C2211yescharacteristic, complemented
124C17×#465C2211yescharacteristic
125C17×#465C2211yescharacteristic
126C17×#465C2211yescharacteristic
127C17×#465C2211yescharacteristic
128C17×#464C2211yescharacteristic
129C17×#464C2211yescharacteristic
130C17×#464C2211yescharacteristic
131C17×#464C2211yescharacteristic, complemented
132C17×#463C2211yescharacteristic
133C17×#463C2211yescharacteristic
134C17×#463C2211yescharacteristic
135C17×#463C2211yescharacteristic
136C17×#462C2211yescharacteristic, complemented
137C17×#462C2211yescharacteristic, complemented
138C17×#462C2211yescharacteristic, complemented
139C17×#461C2211yescharacteristic
140C17×#452C2211yescharacteristic
141C17×#452C2211yescharacteristic
142C17×#452C2211yescharacteristic
143C17×#452C2211yescharacteristic, complemented
144C17×#451C2211yescharacteristic
145C17×#451C2211yescharacteristic
146C17×#451C2211yescharacteristic, complemented
147C17×#450C2211yescharacteristic
148C17×#449C2211yescharacteristic
149C17×#449C2211yescharacteristic
150C17×#448C2211yescharacteristic
151C17×#447C2211yescharacteristic
152C17×#446C2211yescharacteristic, complemented
153C17×#446C2211yescharacteristic, complemented
154C17×#442C2211yescharacteristic
155C17×#442C2211yescharacteristic
156C17×#442C2211yescharacteristic
157C17×#441C2211yescharacteristic, complemented
158C17×#441C2211yescharacteristic, complemented
159C17×#441C2211yescharacteristic, complemented
160C17×#441C2211yescharacteristic, complemented
161C17×#441C2211yescharacteristic, complemented
162C17×#441C2211yescharacteristic, complemented
163C17×#441C2211yescharacteristic, complemented
164C17×#440C2211yescharacteristic
165C17×#440C2211yescharacteristic
166C17×#440C2211yescharacteristic
167C17×#440C2211yescharacteristic
168C17×#440C2211yescharacteristic
169C17×#440C2211yescharacteristic
170C17×#440C2211yescharacteristic
171C17×#440C2211yescharacteristic
172C17×#440C2211yescharacteristic
173C17×#440C2211yescharacteristic
174C17×#440C2211yescharacteristic
175C17×#440C2211yescharacteristic, complemented
176C17×#440C2211yescharacteristic, complemented
177C17×#440C2211yescharacteristic, complemented
178C4×Q16×C17C2211yescharacteristic, complemented
179C4×Q16×C17C2211yescharacteristic, complemented
180C4×SD16×C17C2211yescharacteristic
181C4×SD16×C17C2211yescharacteristic
182C17×#435C2211yescharacteristic
183C17×#435C2211yescharacteristic
184C17×#435C2211yescharacteristic, complemented
185C17×#435C2211yescharacteristic, complemented
186C8×D4×C17C2211yescharacteristic
187C8×D4×C17C2211yescharacteristic
188C17×#432C2211yescharacteristic
189C17×#432C2211yescharacteristic, complemented
190C17×#432C2211yescharacteristic, complemented
191C17×#428C2211yescharacteristic, complemented
192C17×#427C2211yescharacteristic, complemented
193C2×C17×#107C2211yescharacteristic
194C17×#419C2211yescharacteristic, complemented
195C17×#417C2211yescharacteristic
196C17×#416C2211yescharacteristic
197C17×#416C2211yescharacteristic, complemented
198C2×C17×#103C2211yescharacteristic
199C2×C17×#102C2211yescharacteristic
200C4×M16×C17C2211yescharacteristic, complemented
201C2×C17×#97C2211yescharacteristic
202C2×C17×#97C2211yescharacteristic, complemented
203C2×#41×C17—21no—
204C2×#41×C17D411yescharacteristic
205C2×#41×C17C2311yescharacteristic
206C2×#41×C17C2311yescharacteristic
207C2×#41×C17C2311yescharacteristic
208C22×Q8×C17C2311yescharacteristic
209C22×Q8×C17C2311yescharacteristic
210C22×D4×C17C2311yescharacteristic
211C23×C4×C17—21no—
212C17×#137—24no—
213C17×#135—24no—
214C2×Q16×C17C2311yescharacteristic
215C2×Q16×C17C2311yescharacteristic
216C2×Q16×C17C2311yescharacteristic
217C2×Q16×C17C2311yescharacteristic
218C2×Q16×C17C2311yescharacteristic
219C2×Q16×C17C2311yescharacteristic
220C2×SD16×C17—24no—
221C2×SD16×C17C2311yescharacteristic
222C2×SD16×C17C2311yescharacteristic
223C2×SD16×C17C2311yescharacteristic
224C2×SD16×C17C2311yescharacteristic
225C2×SD16×C17C2311yescharacteristic
226C2×SD16×C17C2311yescharacteristic
227C2×SD16×C17C2311yescharacteristic
228C2×SD16×C17C2311yescharacteristic
229C2×D8×C17C2311yescharacteristic
230C2×D8×C17C2311yescharacteristic
231C2×M16×C17C2311yescharacteristic
232C2×M16×C17C2311yescharacteristic
233C22×C8×C17C2311yescharacteristic
234C22×C8×C17C2311yescharacteristic
235C22×C8×C17C2311yescharacteristic
236C22×C8×C17C2311yescharacteristic
237C17×C4⋊Q8—21no—
238C17×C4⋊Q8—21no—
239C17×C4⋊Q8C2311yescharacteristic
240C17×C4⋊Q8C2311yescharacteristic
241C17×C4⋊Q8C2311yescharacteristic
242C17×C4⋊Q8C2311yescharacteristic
243C17×#126—21no—
244C17×#126—21no—
245C17×#126—21no—
246C17×#126—21no—
247C17×#126—21no—
248C17×#126—21no—
249C17×#126—21no—
250C17×#126—21no—
251C17×#126—21no—
252C17×#126—21no—
253C17×#126—21no—
254C17×#126—21no—
255C17×#125—21no—
256C17×#125—21no—
257C17×#125—21no—
258C17×#125—21no—
259C17×#125—21no—
260C17×#125—21no—
261C17×#125—21no—
262C17×#125—21no—
263C17×#125C2311yescharacteristic
264C17×#125C2311yescharacteristic
265C17×#125C2311yescharacteristic
266C17×#125C2311yescharacteristic
267C17×#124—21no—
268C17×#124—21no—
269C17×#124—21no—
270C17×#124—21no—
271C17×#124C2311yescharacteristic
272C17×#124C2311yescharacteristic
273C17×#124C2311yescharacteristic
274C17×#124C2311yescharacteristic
275C17×#123—21no—
276C17×#123—21no—
277C17×#123—21no—
278C17×#123—21no—
279C17×#123—21no—
280C17×#123—21no—
281C17×#123—21no—
282C17×#123—21no—
283C17×#123—21no—
284C17×#123—21no—
285C17×#123—21no—
286C17×#123—21no—
287C17×#123—21no—
288C17×#123—21no—
289C17×C22⋊Q8—21no—
290C17×C22⋊Q8—21no—
291C17×C22⋊Q8—21no—
292C17×C22⋊Q8—21no—
293C17×C22⋊Q8—21no—
294C17×C22⋊Q8—21no—
295C17×C22⋊Q8—21no—
296C17×C22⋊Q8—21no—
297C17×C22⋊Q8—21no—
298C17×C22⋊Q8—21no—
299C17×C22⋊Q8—21no—
300C17×C22⋊Q8—21no—
301C17×C22⋊Q8C2311yescharacteristic
302C17×C22⋊Q8C2311yescharacteristic
303C17×C22⋊Q8C2311yescharacteristic
304C17×C22⋊Q8C2311yescharacteristic
305C17×C22⋊Q8C2311yescharacteristic
306C17×C22⋊Q8C2311yescharacteristic
307C17×C22⋊Q8C2311yescharacteristic
308C17×C22⋊Q8C2311yescharacteristic
309C17×#121—21no—
310C17×#121—21no—
311C17×#121—21no—
312C17×#121—21no—
313C17×#121—21no—
314C17×#121—21no—
315C17×#121C2311yescharacteristic
316C17×#121C2311yescharacteristic
317C17×#121C2311yescharacteristic
318C17×#121C2311yescharacteristic
319C17×#120—21no—
320C17×#120—21no—
321C4×Q8×C17—21no—
322C4×Q8×C17—21no—
323C4×Q8×C17—21no—
324C4×Q8×C17—21no—
325C4×Q8×C17—21no—
326C4×Q8×C17—21no—
327C4×Q8×C17—21no—
328C4×Q8×C17D411yescharacteristic
329C4×Q8×C17C2311yescharacteristic
330C4×Q8×C17C2311yescharacteristic
331C4×Q8×C17C2311yescharacteristic
332C4×Q8×C17C2311yescharacteristic
333C4×Q8×C17C2311yescharacteristic
334C4×Q8×C17C2311yescharacteristic
335C4×Q8×C17C2311yescharacteristic
336C4×Q8×C17C2311yescharacteristic
337C4×Q8×C17C2311yescharacteristic
338C4×Q8×C17C2311yescharacteristic
339C4×Q8×C17C2311yescharacteristic
340C4×Q8×C17C2311yescharacteristic
341C4×Q8×C17C2311yescharacteristic
342C4×D4×C17—21no—
343C4×D4×C17—21no—
344C4×D4×C17—21no—
345C4×D4×C17—21no—
346C4×D4×C17—21no—
347C4×D4×C17—21no—
348C4×D4×C17—21no—
349C4×D4×C17—21no—
350C4×D4×C17—21no—
351C4×D4×C17—21no—
352C4×D4×C17—21no—
353C4×D4×C17—21no—
354C4×D4×C17—21no—
355C4×D4×C17—21no—
356C4×D4×C17—21no—
357C4×D4×C17D411yescharacteristic
358C4×D4×C17D411yescharacteristic
359C4×D4×C17D411yescharacteristic
360C4×D4×C17C2311yescharacteristic
361C4×D4×C17C2311yescharacteristic
362C4×D4×C17C2311yescharacteristic
363C4×D4×C17C2311yescharacteristic
364C4×D4×C17C2311yescharacteristic
365C4×D4×C17C2311yescharacteristic
366C4×D4×C17C2311yescharacteristic
367C4×D4×C17C2311yescharacteristic
368C4×D4×C17C2311yescharacteristic
369C4×D4×C17C2311yescharacteristic
370C4×D4×C17C2311yescharacteristic
371C17×#117—21no—
372C17×#117—21no—
373C17×#117—21no—
374C17×#117—21no—
375C17×#117—21no—
376C17×#117—21no—
377C17×#117—21no—
378C17×#117—21no—
379C17×#117—21no—
380C17×#117—21no—
381C17×#117—21no—
382C17×#117—21no—
383C17×#117—21no—
384C17×#117—21no—
385C17×#117—21no—
386C17×#117—21no—
387C17×#117D411yescharacteristic
388C17×#117D411yescharacteristic
389C17×#117D411yescharacteristic
390C17×#117C2311yescharacteristic
391C17×#117C2311yescharacteristic
392C17×#117C2311yescharacteristic
393C2×C4⋊C4×C17—21no—
394C2×C4⋊C4×C17—21no—
395C2×C4⋊C4×C17—21no—
396C2×C4⋊C4×C17—21no—
397C2×C4⋊C4×C17C2311yescharacteristic
398C2×C4⋊C4×C17C2311yescharacteristic
399C2×C4⋊C4×C17C2311yescharacteristic
400C2×C22⋊C4×C17—21no—
401C2×C22⋊C4×C17—21no—
402C2×C22⋊C4×C17—21no—
403C2×C42×C17—21no—
404C2×C42×C17—21no—
405C2×C42×C17—21no—
406C2×C42×C17—21no—
407C2×C42×C17—21no—
408C2×C42×C17C2311yescharacteristic
409C2×C42×C17C2311yescharacteristic
410C2×C42×C17C2311yescharacteristic
411C17×#107C2311yescharacteristic
412C17×#107C2311yescharacteristic
413C17×#107C2311yescharacteristic
414C17×#107C2311yescharacteristic
415C17×#107C2311yescharacteristic
416C17×#107C2311yescharacteristic
417C17×#107C2311yescharacteristic
418C17×#107C2311yescharacteristic
419C17×#106C2311yescharacteristic
420C17×#106C2311yescharacteristic
421C17×#106C2311yescharacteristic
422C17×#106C2311yescharacteristic
423C17×#106C2311yescharacteristic
424C17×#106C2311yescharacteristic
425C17×#106C2311yescharacteristic
426C17×#106C2311yescharacteristic
427C17×C4⋊C8C2311yescharacteristic
428C17×C4⋊C8C2311yescharacteristic
429C17×C4⋊C8C2311yescharacteristic
430C17×C4⋊C8C2311yescharacteristic
431C17×C4⋊C8C2311yescharacteristic
432C17×C4⋊C8C2311yescharacteristic
433C17×#103C2311yescharacteristic
434C17×#103C2311yescharacteristic
435C17×#103C2311yescharacteristic
436C17×#103C2311yescharacteristic
437C17×#103C2311yescharacteristic
438C17×#103C2311yescharacteristic
439C17×#103C2311yescharacteristic
440C17×#103C2311yescharacteristic
441C17×#103C2311yescharacteristic
442C17×#103C2311yescharacteristic
443C17×#103C2311yescharacteristic
444C17×#103C2311yescharacteristic
445C17×#103C2311yescharacteristic
446C17×#103C2311yescharacteristic
447C17×#103C2311yescharacteristic
448C17×#103C2311yescharacteristic
449C17×#103C2311yescharacteristic
450C17×#103C2311yescharacteristic
451C17×#103C2311yescharacteristic
452C17×#103C2311yescharacteristic
453C17×#102C2311yescharacteristic
454C17×#102C2311yescharacteristic
455C17×#102C2311yescharacteristic
456C17×#102C2311yescharacteristic
457C17×#102C2311yescharacteristic
458C17×#102C2311yescharacteristic
459C17×#102C2311yescharacteristic
460C17×#102C2311yescharacteristic
461C17×#102C2311yescharacteristic
462C17×#102C2311yescharacteristic
463C17×#102C2311yescharacteristic
464C17×#102C2311yescharacteristic
465C17×C22⋊C8C2311yescharacteristic
466C17×C22⋊C8C2311yescharacteristic
467C17×C22⋊C8C2311yescharacteristic
468C17×C22⋊C8C2311yescharacteristic
469C17×C22⋊C8C2311yescharacteristic
470C17×C22⋊C8C2311yescharacteristic
471C17×#97C2311yescharacteristic
472C17×#97C2311yescharacteristic
473C17×#97C2311yescharacteristic
474C17×#97C2311yescharacteristic
475C17×#97C2311yescharacteristic
476C17×#97C2311yescharacteristic
477C17×#97C2311yescharacteristic
478C17×#97C2311yescharacteristic
479C4×C8×C17C2311yescharacteristic
480C4×C8×C17C2311yescharacteristic
481C24×C17—21no—
482#41×C17—22no—
483#41×C17—22no—
484#41×C17—22no—
485#41×C17—42no—
486#41×C17—41no—
487#41×C17—41no—
488#41×C17—41no—
489#41×C17—44no—
490C2×Q8×C17—21no—
491C2×Q8×C17—21no—
492C2×Q8×C17—21no—
493C2×Q8×C17—21no—
494C2×Q8×C17—22no—
495C2×Q8×C17—22no—
496C2×Q8×C17—41no—
497C2×Q8×C17—41no—
498C2×Q8×C17C2×D411yescharacteristic
499C2×Q8×C17C2411yescharacteristic
500C2×Q8×C17C2411yescharacteristic
501C2×Q8×C17C2411yescharacteristic
502C2×Q8×C17C2411yescharacteristic
503C2×Q8×C17C2411yescharacteristic
504C2×D4×C17—22no—
505C2×D4×C17—21no—
506C2×D4×C17—21no—
507C2×D4×C17—21no—
508C2×D4×C17—21no—
509C2×D4×C17—21no—
510C2×D4×C17—21no—
511C2×D4×C17—21no—
512C2×D4×C17—21no—
513C2×D4×C17—41no—
514C2×D4×C17C2×D411yescharacteristic
515C2×D4×C17C2×D411yescharacteristic
516C2×D4×C17C2×D411yescharacteristic
517C2×D4×C17C2411yescharacteristic
518C2×D4×C17C2411yescharacteristic
519C2×D4×C17C2411yescharacteristic
520C22×C4×C17—21no—
521C22×C4×C17—21no—
522C22×C4×C17—21no—
523C22×C4×C17—21no—
524C22×C4×C17—21no—
525C22×C4×C17—21no—
526C22×C4×C17—21no—
527C22×C4×C17—21no—
528C22×C4×C17—21no—
529C22×C4×C17—21no—
530C22×C4×C17—21no—
531C22×C4×C17—21no—
532C22×C4×C17—21no—
533C22×C4×C17—21no—
534C22×C4×C17—21no—
535C22×C4×C17—21no—
536C22×C4×C17—44no—
537C22×C4×C17C2×D411yescharacteristic
538C22×C4×C17C2×D411yescharacteristic
539C22×C4×C17C2×D411yescharacteristic
540C22×C4×C17C2×D411yescharacteristic
541C22×C4×C17C2×D411yescharacteristic
542C22×C4×C17C2×D411yescharacteristic
543C22×C4×C17C2411yescharacteristic
544C22×C4×C17C2411yescharacteristic
545C22×C4×C17C2411yescharacteristic
546Q16×C17—22no—
547Q16×C17—22no—
548Q16×C17—22no—
549Q16×C17—41no—
550Q16×C17—41no—
551Q16×C17—41no—
552SD16×C17—22no—
553SD16×C17—22no—
554SD16×C17—22no—
555SD16×C17—22no—
556SD16×C17—22no—
557SD16×C17—41no—
558SD16×C17—41no—
559SD16×C17#4114yescomplemented
560D8×C17—22no—
561D8×C17—41no—
562M16×C17—22no—
563M16×C17—41no—
564C2×C8×C17—22no—
565C2×C8×C17—22no—
566C2×C8×C17—41no—
567C2×C8×C17—41no—
568C2×C8×C17C2411yescharacteristic
569C2×C8×C17C2411yescharacteristic
570C2×C8×C17C2411yescharacteristic
571C2×C8×C17C2411yescharacteristic
572C2×C8×C17C2411yescharacteristic
573C2×C8×C17C2411yescharacteristic
574C2×C8×C17C2411yescharacteristic
575C2×C8×C17C2411yescharacteristic
576C4⋊C4×C17—21no—
577C4⋊C4×C17—21no—
578C4⋊C4×C17—21no—
579C4⋊C4×C17—21no—
580C4⋊C4×C17—21no—
581C4⋊C4×C17—21no—
582C4⋊C4×C17—21no—
583C4⋊C4×C17—21no—
584C4⋊C4×C17—21no—
585C4⋊C4×C17—21no—
586C4⋊C4×C17—21no—
587C4⋊C4×C17—21no—
588C4⋊C4×C17—21no—
589C4⋊C4×C17—21no—
590C4⋊C4×C17—21no—
591C4⋊C4×C17—21no—
592C4⋊C4×C17—21no—
593C4⋊C4×C17—21no—
594C4⋊C4×C17—21no—
595C4⋊C4×C17—21no—
596C4⋊C4×C17—21no—
597C4⋊C4×C17—21no—
598C4⋊C4×C17—21no—
599C4⋊C4×C17—21no—
600C4⋊C4×C17—21no—
601C4⋊C4×C17—21no—
602C4⋊C4×C17—21no—
603C4⋊C4×C17—21no—
604C4⋊C4×C17—21no—
605C4⋊C4×C17—21no—
606C4⋊C4×C17—21no—
607C4⋊C4×C17—21no—
608C4⋊C4×C17—21no—
609C4⋊C4×C17—21no—
610C4⋊C4×C17—21no—
611C4⋊C4×C17—21no—
612C4⋊C4×C17—21no—
613C4⋊C4×C17C2×D411yescharacteristic
614C4⋊C4×C17C2×D411yescharacteristic
615C4⋊C4×C17C2×D411yescharacteristic
616C4⋊C4×C17C2×D411yescharacteristic
617C4⋊C4×C17C2×D411yescharacteristic
618C4⋊C4×C17C2×D411yescharacteristic
619C4⋊C4×C17C2411yescharacteristic
620C4⋊C4×C17C2411yescharacteristic
621C4⋊C4×C17C2411yescharacteristic
622C4⋊C4×C17C2411yescharacteristic
623C4⋊C4×C17C2411yescharacteristic
624C4⋊C4×C17C2411yescharacteristic
625C4⋊C4×C17C2411yescharacteristic
626C4⋊C4×C17C2411yescharacteristic
627C22⋊C4×C17—21no—
628C22⋊C4×C17—21no—
629C22⋊C4×C17—21no—
630C22⋊C4×C17—21no—
631C22⋊C4×C17—21no—
632C22⋊C4×C17—21no—
633C22⋊C4×C17—21no—
634C22⋊C4×C17—21no—
635C22⋊C4×C17—21no—
636C22⋊C4×C17—21no—
637C22⋊C4×C17—21no—
638C22⋊C4×C17—21no—
639C22⋊C4×C17—21no—
640C22⋊C4×C17—21no—
641C22⋊C4×C17—21no—
642C22⋊C4×C17—21no—
643C22⋊C4×C17—21no—
644C22⋊C4×C17—21no—
645C22⋊C4×C17—21no—
646C22⋊C4×C17—21no—
647C22⋊C4×C17—21no—
648C22⋊C4×C17—21no—
649C22⋊C4×C17—21no—
650C22⋊C4×C17—21no—
651C22⋊C4×C17—21no—
652C22⋊C4×C17—21no—
653C22⋊C4×C17—21no—
654C22⋊C4×C17—21no—
655C22⋊C4×C17—21no—
656C22⋊C4×C17—21no—
657C22⋊C4×C17—21no—
658C22⋊C4×C17C2×D411yescharacteristic
659C22⋊C4×C17C2×D411yescharacteristic
660C22⋊C4×C17C2×D411yescharacteristic
661C22⋊C4×C17C2×D411yescharacteristic
662C22⋊C4×C17C2×D411yescharacteristic
663C22⋊C4×C17C2×D411yescharacteristic
664C42×C17—21no—
665C42×C17—21no—
666C42×C17—21no—
667C42×C17—21no—
668C42×C17—21no—
669C42×C17—21no—
670C42×C17—21no—
671C42×C17—21no—
672C42×C17—21no—
673C42×C17—21no—
674C42×C17—21no—
675C42×C17—21no—
676C42×C17—21no—
677C42×C17—21no—
678C42×C17—21no—
679C42×C17C2×D411yescharacteristic
680C42×C17C2×D411yescharacteristic
681C42×C17C2×D411yescharacteristic
682C42×C17C2×D411yescharacteristic
683C42×C17C2×D411yescharacteristic
684C42×C17C2×D411yescharacteristic
685C42×C17C2411yescharacteristic
686C42×C17C2411yescharacteristic
687C42×C17C2411yescharacteristic
688C42×C17C2411yescharacteristic
689#61455C1711yesmaximal, characteristic, direct product factor, Sylow
690C23×C17—21no—
691C23×C17—21no—
692C23×C17—21no—
693C23×C17—42no—
694C23×C17—42no—
695C23×C17—81no—
696C23×C17C22×D411yescharacteristic
697C23×C17C22×D411yescharacteristic
698C23×C17C22×D411yescharacteristic
699Q8×C17—21no—
700Q8×C17—21no—
701Q8×C17—21no—
702Q8×C17—21no—
703Q8×C17—21no—
704Q8×C17—21no—
705Q8×C17—21no—
706Q8×C17—21no—
707Q8×C17—21no—
708Q8×C17—41no—
709Q8×C17—42no—
710Q8×C17—42no—
711Q8×C17—42no—
712Q8×C17—81no—
713Q8×C17C2×#4112yes—
714D4×C17—22no—
715D4×C17—22no—
716D4×C17—21no—
717D4×C17—21no—
718D4×C17—21no—
719D4×C17—21no—
720D4×C17—21no—
721D4×C17—41no—
722D4×C17—42no—
723D4×C17—42no—
724D4×C17—42no—
725D4×C17—42no—
726D4×C17—42no—
727D4×C17—42no—
728D4×C17—81no—
729D4×C17—81no—
730D4×C17C2×#4112yes—
731C2×C4×C17—22no—
732C2×C4×C17—21no—
733C2×C4×C17—21no—
734C2×C4×C17—21no—
735C2×C4×C17—21no—
736C2×C4×C17—21no—
737C2×C4×C17—21no—
738C2×C4×C17—21no—
739C2×C4×C17—21no—
740C2×C4×C17—21no—
741C2×C4×C17—21no—
742C2×C4×C17—21no—
743C2×C4×C17—21no—
744C2×C4×C17—21no—
745C2×C4×C17—21no—
746C2×C4×C17—21no—
747C2×C4×C17—21no—
748C2×C4×C17—21no—
749C2×C4×C17—21no—
750C2×C4×C17—21no—
751C2×C4×C17—41no—
752C2×C4×C17—41no—
753C2×C4×C17—41no—
754C2×C4×C17—41no—
755C2×C4×C17—41no—
756C2×C4×C17—42no—
757C2×C4×C17—42no—
758C2×C4×C17—42no—
759C2×C4×C17—42no—
760C2×C4×C17—42no—
761C2×C4×C17—42no—
762C2×C4×C17—42no—
763C2×C4×C17—42no—
764C2×C4×C17—42no—
765C2×C4×C17—42no—
766C2×C4×C17—42no—
767C2×C4×C17—42no—
768C2×C4×C17—42no—
769C2×C4×C17—42no—
770C2×C4×C17—81no—
771C2×C4×C17—81no—
772C2×C4×C17C22×D411yescharacteristic
773C2×C4×C17C22×D411yescharacteristic
774C2×C4×C17C22×D411yescharacteristic
775C2×C4×C17C22×D411yescharacteristic
776C2×C4×C17C22×D411yescharacteristic
777C2×C4×C17C22×D411yescharacteristic
778C2×C4×C17C22×D411yescharacteristic
779C2×C4×C17C22×D411yescharacteristic
780C2×C4×C17C22×D411yescharacteristic
781C2×C4×C17C22×D411yescharacteristic
782C2×C4×C17C22×D411yescharacteristic
783C2×C4×C17C2511yescharacteristic
784C8×C17—21no—
785C8×C17—21no—
786C8×C17—21no—
787C8×C17—21no—
788C8×C17—21no—
789C8×C17—21no—
790C8×C17—21no—
791C8×C17C2×#4112yes—
792#3482C2×C1711yescharacteristic, complemented
793#3475C2×C1711yescharacteristic, complemented
794#3402C2×C1711yescharacteristic, complemented
795#3388C2×C1711yescharacteristic, complemented
796#3377C2×C1711yescharacteristic, complemented
797#3376C2×C1711yescharacteristic, complemented
798#3348C2×C1711yescharacteristic, complemented
799#3343C2×C1711yescharacteristic, complemented
800#3336C2×C1711yescharacteristic, complemented
801#3321C2×C1711yescharacteristic, complemented
802#3315C2×C1711yescharacteristic, complemented
803#3312C2×C1711yescharacteristic, complemented
804#3306C2×C1711yescharacteristic, complemented
805#3300C2×C1711yescharacteristic, complemented
806#3296C2×C1711yescharacteristic, complemented
807#3282C2×C1711yescharacteristic, complemented
808#3269C2×C1711yescharacteristic, complemented
809#3266C2×C1711yescharacteristic, complemented
810#3183C2×C1711yescharacteristic, complemented
811#3181C2×C1711yescharacteristic, complemented
812#3181C2×C1711yescharacteristic, complemented
813#3117C2×C1711yescharacteristic, complemented
814#3116C2×C1711yescharacteristic, complemented
815#3114C2×C1711yescharacteristic, complemented
816#3113C2×C1711yescharacteristic, complemented
817#3111C2×C1711yescharacteristic, complemented
818#3111C2×C1711yescharacteristic, complemented
819#2970C2×C1711yescharacteristic, complemented
820C4×#137C2×C1711yescharacteristic, complemented
821#2943C2×C1711yescharacteristic, complemented
822C2×#440C2×C1711yescharacteristic, complemented
823C22×C17—21no—
824C22×C17—21no—
825C22×C17—21no—
826C22×C17—21no—
827C22×C17—21no—
828C22×C17—21no—
829C22×C17—22no—
830C22×C17—21no—
831C22×C17—21no—
832C22×C17—41no—
833C22×C17—41no—
834C22×C17—41no—
835C22×C17—41no—
836C22×C17—41no—
837C22×C17—41no—
838C22×C17—41no—
839C22×C17—41no—
840C22×C17—84no—
841C22×C17#57512yes—
842C22×C17C23×D411yescharacteristic
843C4×C17—21no—
844C4×C17—21no—
845C4×C17—21no—
846C4×C17—21no—
847C4×C17—21no—
848C4×C17—21no—
849C4×C17—21no—
850C4×C17—22no—
851C4×C17—21no—
852C4×C17—21no—
853C4×C17—21no—
854C4×C17—21no—
855C4×C17—41no—
856C4×C17—41no—
857C4×C17—41no—
858C4×C17—41no—
859C4×C17—41no—
860C4×C17—41no—
861C4×C17—41no—
862C4×C17—41no—
863C4×C17—41no—
864C4×C17—41no—
865C4×C17—41no—
866C4×C17—41no—
867C4×C17C22×#4111yescharacteristic
868C4×C17#58511yescharacteristic
869C2×#137C22×C1711yescharacteristic
870C2×#135C22×C1711yescharacteristic
871C22×SD16C22×C1711yescharacteristic
872#557C22×C1711yescharacteristic, complemented
873#556—21no—
874#556C22×C1711yescharacteristic
875#556C22×C1711yescharacteristic, complemented
876#555C22×C1711yescharacteristic
877#554C22×C1711yescharacteristic
878#553—21no—
879#552—21no—
880#552—21no—
881#552—21no—
882#552C22×C1711yescharacteristic
883#552C22×C1711yescharacteristic
884#552C22×C1711yescharacteristic
885#552C22×C1711yescharacteristic, complemented
886#551—21no—
887#551—21no—
888D4×Q8C22×C1711yescharacteristic
889#548C22×C1711yescharacteristic
890#548C22×C1711yescharacteristic, complemented
891#547—21no—
892#547C22×C1711yescharacteristic
893#547C22×C1711yescharacteristic
894#546C22×C1711yescharacteristic
895#546C22×C1711yescharacteristic
896#533—21no—
897#533C22×C1711yescharacteristic
898#533C22×C1711yescharacteristic, complemented
899#529—21no—
900#529—21no—
901#529—21no—
902#529—21no—
903#529C22×C1711yescharacteristic
904#529C22×C1711yescharacteristic
905#529C22×C1711yescharacteristic
906#529C22×C1711yescharacteristic, complemented
907#525—21no—
908C4×#41—21no—
909C4×#41C22×C1711yescharacteristic
910C4×#41C22×C1711yescharacteristic
911C4×#41C22×C1711yescharacteristic
912C4×#41C22×C1711yescharacteristic, complemented
913C2×C4×Q8C22×C1711yescharacteristic
914C2×C4×Q8C22×C1711yescharacteristic, complemented
915C2×C4×D4C22×C1711yescharacteristic
916C2×#117—21no—
917#501C22×C1711yescharacteristic, complemented
918#501C22×C1711yescharacteristic, complemented
919#499C22×C1711yescharacteristic, complemented
920#497C22×C1711yescharacteristic
921#497C22×C1711yescharacteristic, complemented
922#495C22×C1711yescharacteristic
923#491C22×C1711yescharacteristic, complemented
924#491C22×C1711yescharacteristic, complemented
925#489C22×C1711yescharacteristic
926#489C22×C1711yescharacteristic, complemented
927#488C22×C1711yescharacteristic
928#488C22×C1711yescharacteristic, complemented
929#485C22×C1711yescharacteristic, complemented
930#485C22×C1711yescharacteristic, complemented
931#485C22×C1711yescharacteristic, complemented
932#485C22×C1711yescharacteristic, complemented
933#484C22×C1711yescharacteristic, complemented
934#483C22×C1711yescharacteristic
935#483C22×C1711yescharacteristic
936#483C22×C1711yescharacteristic
937#482C22×C1711yescharacteristic
938#482C22×C1711yescharacteristic, complemented
939#481C22×C1711yescharacteristic
940#480C22×C1711yescharacteristic
941#479C22×C1711yescharacteristic, complemented
942#479C22×C1711yescharacteristic, complemented
943#479C22×C1711yescharacteristic, complemented
944#479C22×C1711yescharacteristic, complemented
945#478C22×C1711yescharacteristic
946#478C22×C1711yescharacteristic
947#478C22×C1711yescharacteristic
948#478C22×C1711yescharacteristic, complemented
949#477C22×C1711yescharacteristic, complemented
950#476C22×C1711yescharacteristic
951#475C22×C1711yescharacteristic, complemented
952#475C22×C1711yescharacteristic, complemented
953#470C22×C1711yescharacteristic, complemented
954#469C22×C1711yescharacteristic
955#468C22×C1711yescharacteristic
956#468C22×C1711yescharacteristic, complemented
957#467C22×C1711yescharacteristic
958#467C22×C1711yescharacteristic
959#467C22×C1711yescharacteristic, complemented
960#467C22×C1711yescharacteristic, complemented
961#465C22×C1711yescharacteristic
962#465C22×C1711yescharacteristic
963#465C22×C1711yescharacteristic
964#465C22×C1711yescharacteristic
965#464C22×C1711yescharacteristic
966#464C22×C1711yescharacteristic
967#464C22×C1711yescharacteristic
968#464C22×C1711yescharacteristic, complemented
969#463C22×C1711yescharacteristic
970#463C22×C1711yescharacteristic
971#463C22×C1711yescharacteristic
972#463C22×C1711yescharacteristic
973#462C22×C1711yescharacteristic, complemented
974#462C22×C1711yescharacteristic, complemented
975#462C22×C1711yescharacteristic, complemented
976#461C22×C1711yescharacteristic
977#452C22×C1711yescharacteristic
978#452C22×C1711yescharacteristic
979#452C22×C1711yescharacteristic
980#452C22×C1711yescharacteristic, complemented
981#451C22×C1711yescharacteristic
982#451C22×C1711yescharacteristic
983#451C22×C1711yescharacteristic, complemented
984#450C22×C1711yescharacteristic
985#449C22×C1711yescharacteristic
986#449C22×C1711yescharacteristic
987#448C22×C1711yescharacteristic
988#447C22×C1711yescharacteristic
989#446C22×C1711yescharacteristic, complemented
990#446C22×C1711yescharacteristic, complemented
991#442C22×C1711yescharacteristic
992#442C22×C1711yescharacteristic
993#442C22×C1711yescharacteristic
994#441C22×C1711yescharacteristic, complemented
995#441C22×C1711yescharacteristic, complemented
996#441C22×C1711yescharacteristic, complemented
997#441C22×C1711yescharacteristic, complemented
998#441C22×C1711yescharacteristic, complemented
999#441C22×C1711yescharacteristic, complemented
1000#441C22×C1711yescharacteristic, complemented
1001#440C22×C1711yescharacteristic
1002#440C22×C1711yescharacteristic
1003#440C22×C1711yescharacteristic
1004#440C22×C1711yescharacteristic
1005#440C22×C1711yescharacteristic
1006#440C22×C1711yescharacteristic
1007#440C22×C1711yescharacteristic
1008#440C22×C1711yescharacteristic
1009#440C22×C1711yescharacteristic
1010#440C22×C1711yescharacteristic
1011#440C22×C1711yescharacteristic
1012#440C22×C1711yescharacteristic, complemented
1013#440C22×C1711yescharacteristic, complemented
1014#440C22×C1711yescharacteristic, complemented
1015C4×Q16C22×C1711yescharacteristic, complemented
1016C4×Q16C22×C1711yescharacteristic, complemented
1017C4×SD16C22×C1711yescharacteristic
1018C4×SD16C22×C1711yescharacteristic
1019#435C22×C1711yescharacteristic
1020#435C22×C1711yescharacteristic
1021#435C22×C1711yescharacteristic, complemented
1022#435C22×C1711yescharacteristic, complemented
1023C8×D4C22×C1711yescharacteristic
1024C8×D4C22×C1711yescharacteristic
1025#432C22×C1711yescharacteristic
1026#432C22×C1711yescharacteristic, complemented
1027#432C22×C1711yescharacteristic, complemented
1028#428C22×C1711yescharacteristic, complemented
1029#427C22×C1711yescharacteristic, complemented
1030C2×#107C22×C1711yescharacteristic
1031#419C22×C1711yescharacteristic, complemented
1032#417C22×C1711yescharacteristic
1033#416C22×C1711yescharacteristic
1034#416C22×C1711yescharacteristic, complemented
1035C2×#103C22×C1711yescharacteristic
1036C2×#102C22×C1711yescharacteristic
1037C4×M16C22×C1711yescharacteristic, complemented
1038C2×#97C22×C1711yescharacteristic
1039C2×#97C22×C1711yescharacteristic, complemented
1040C2×C17—22no—
1041C2×C17—41no—
1042C2×C17—41no—
1043C2×C17—42no—
1044C2×C17—81no—
1045C2×C17—81no—
1046C2×C17D4×#4111yescharacteristic
1047C2×C17C2×#57511yescharacteristic
1048C2×C17#358611yescharacteristic
1049C2×#41—21no—
1050C2×#41D4×C1711yescharacteristic
1051C2×#41C23×C1711yescharacteristic
1052C2×#41C23×C1711yescharacteristic
1053C2×#41C23×C1711yescharacteristic
1054C22×Q8C23×C1711yescharacteristic
1055C22×Q8C23×C1711yescharacteristic
1056C22×D4C23×C1711yescharacteristic
1057C23×C4—21no—
1058#137—24no—
1059#135—24no—
1060C2×Q16C23×C1711yescharacteristic
1061C2×Q16C23×C1711yescharacteristic
1062C2×Q16C23×C1711yescharacteristic
1063C2×Q16C23×C1711yescharacteristic
1064C2×Q16C23×C1711yescharacteristic
1065C2×Q16C23×C1711yescharacteristic
1066C2×SD16—24no—
1067C2×SD16C23×C1711yescharacteristic
1068C2×SD16C23×C1711yescharacteristic
1069C2×SD16C23×C1711yescharacteristic
1070C2×SD16C23×C1711yescharacteristic
1071C2×SD16C23×C1711yescharacteristic
1072C2×SD16C23×C1711yescharacteristic
1073C2×SD16C23×C1711yescharacteristic
1074C2×SD16C23×C1711yescharacteristic
1075C2×D8C23×C1711yescharacteristic
1076C2×D8C23×C1711yescharacteristic
1077C2×M16C23×C1711yescharacteristic
1078C2×M16C23×C1711yescharacteristic
1079C22×C8C23×C1711yescharacteristic
1080C22×C8C23×C1711yescharacteristic
1081C22×C8C23×C1711yescharacteristic
1082C22×C8C23×C1711yescharacteristic
1083C4⋊Q8—21no—
1084C4⋊Q8—21no—
1085C4⋊Q8C23×C1711yescharacteristic
1086C4⋊Q8C23×C1711yescharacteristic
1087C4⋊Q8C23×C1711yescharacteristic
1088C4⋊Q8C23×C1711yescharacteristic
1089#126—21no—
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#125—21no—
1102#125—21no—
1103#125—21no—
1104#125—21no—
1105#125—21no—
1106#125—21no—
1107#125—21no—
1108#125—21no—
1109#125C23×C1711yescharacteristic
1110#125C23×C1711yescharacteristic
1111#125C23×C1711yescharacteristic
1112#125C23×C1711yescharacteristic
1113#124—21no—
1114#124—21no—
1115#124—21no—
1116#124—21no—
1117#124C23×C1711yescharacteristic
1118#124C23×C1711yescharacteristic
1119#124C23×C1711yescharacteristic
1120#124C23×C1711yescharacteristic
1121#123—21no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8C23×C1711yescharacteristic
1148C22⋊Q8C23×C1711yescharacteristic
1149C22⋊Q8C23×C1711yescharacteristic
1150C22⋊Q8C23×C1711yescharacteristic
1151C22⋊Q8C23×C1711yescharacteristic
1152C22⋊Q8C23×C1711yescharacteristic
1153C22⋊Q8C23×C1711yescharacteristic
1154C22⋊Q8C23×C1711yescharacteristic
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121C23×C1711yescharacteristic
1162#121C23×C1711yescharacteristic
1163#121C23×C1711yescharacteristic
1164#121C23×C1711yescharacteristic
1165#120—21no—
1166#120—21no—
1167C4×Q8—21no—
1168C4×Q8—21no—
1169C4×Q8—21no—
1170C4×Q8—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8D4×C1711yescharacteristic
1175C4×Q8C23×C1711yescharacteristic
1176C4×Q8C23×C1711yescharacteristic
1177C4×Q8C23×C1711yescharacteristic
1178C4×Q8C23×C1711yescharacteristic
1179C4×Q8C23×C1711yescharacteristic
1180C4×Q8C23×C1711yescharacteristic
1181C4×Q8C23×C1711yescharacteristic
1182C4×Q8C23×C1711yescharacteristic
1183C4×Q8C23×C1711yescharacteristic
1184C4×Q8C23×C1711yescharacteristic
1185C4×Q8C23×C1711yescharacteristic
1186C4×Q8C23×C1711yescharacteristic
1187C4×Q8C23×C1711yescharacteristic
1188C4×D4—21no—
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4D4×C1711yescharacteristic
1204C4×D4D4×C1711yescharacteristic
1205C4×D4D4×C1711yescharacteristic
1206C4×D4C23×C1711yescharacteristic
1207C4×D4C23×C1711yescharacteristic
1208C4×D4C23×C1711yescharacteristic
1209C4×D4C23×C1711yescharacteristic
1210C4×D4C23×C1711yescharacteristic
1211C4×D4C23×C1711yescharacteristic
1212C4×D4C23×C1711yescharacteristic
1213C4×D4C23×C1711yescharacteristic
1214C4×D4C23×C1711yescharacteristic
1215C4×D4C23×C1711yescharacteristic
1216C4×D4C23×C1711yescharacteristic
1217#117—21no—
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117—21no—
1232#117—21no—
1233#117D4×C1711yescharacteristic
1234#117D4×C1711yescharacteristic
1235#117D4×C1711yescharacteristic
1236#117C23×C1711yescharacteristic
1237#117C23×C1711yescharacteristic
1238#117C23×C1711yescharacteristic
1239C2×C4⋊C4—21no—
1240C2×C4⋊C4—21no—
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—21no—
1243C2×C4⋊C4C23×C1711yescharacteristic
1244C2×C4⋊C4C23×C1711yescharacteristic
1245C2×C4⋊C4C23×C1711yescharacteristic
1246C2×C22⋊C4—21no—
1247C2×C22⋊C4—21no—
1248C2×C22⋊C4—21no—
1249C2×C42—21no—
1250C2×C42—21no—
1251C2×C42—21no—
1252C2×C42—21no—
1253C2×C42—21no—
1254C2×C42C23×C1711yescharacteristic
1255C2×C42C23×C1711yescharacteristic
1256C2×C42C23×C1711yescharacteristic
1257#107C23×C1711yescharacteristic
1258#107C23×C1711yescharacteristic
1259#107C23×C1711yescharacteristic
1260#107C23×C1711yescharacteristic
1261#107C23×C1711yescharacteristic
1262#107C23×C1711yescharacteristic
1263#107C23×C1711yescharacteristic
1264#107C23×C1711yescharacteristic
1265#106C23×C1711yescharacteristic
1266#106C23×C1711yescharacteristic
1267#106C23×C1711yescharacteristic
1268#106C23×C1711yescharacteristic
1269#106C23×C1711yescharacteristic
1270#106C23×C1711yescharacteristic
1271#106C23×C1711yescharacteristic
1272#106C23×C1711yescharacteristic
1273C4⋊C8C23×C1711yescharacteristic
1274C4⋊C8C23×C1711yescharacteristic
1275C4⋊C8C23×C1711yescharacteristic
1276C4⋊C8C23×C1711yescharacteristic
1277C4⋊C8C23×C1711yescharacteristic
1278C4⋊C8C23×C1711yescharacteristic
1279#103C23×C1711yescharacteristic
1280#103C23×C1711yescharacteristic
1281#103C23×C1711yescharacteristic
1282#103C23×C1711yescharacteristic
1283#103C23×C1711yescharacteristic
1284#103C23×C1711yescharacteristic
1285#103C23×C1711yescharacteristic
1286#103C23×C1711yescharacteristic
1287#103C23×C1711yescharacteristic
1288#103C23×C1711yescharacteristic
1289#103C23×C1711yescharacteristic
1290#103C23×C1711yescharacteristic
1291#103C23×C1711yescharacteristic
1292#103C23×C1711yescharacteristic
1293#103C23×C1711yescharacteristic
1294#103C23×C1711yescharacteristic
1295#103C23×C1711yescharacteristic
1296#103C23×C1711yescharacteristic
1297#103C23×C1711yescharacteristic
1298#103C23×C1711yescharacteristic
1299#102C23×C1711yescharacteristic
1300#102C23×C1711yescharacteristic
1301#102C23×C1711yescharacteristic
1302#102C23×C1711yescharacteristic
1303#102C23×C1711yescharacteristic
1304#102C23×C1711yescharacteristic
1305#102C23×C1711yescharacteristic
1306#102C23×C1711yescharacteristic
1307#102C23×C1711yescharacteristic
1308#102C23×C1711yescharacteristic
1309#102C23×C1711yescharacteristic
1310#102C23×C1711yescharacteristic
1311C22⋊C8C23×C1711yescharacteristic
1312C22⋊C8C23×C1711yescharacteristic
1313C22⋊C8C23×C1711yescharacteristic
1314C22⋊C8C23×C1711yescharacteristic
1315C22⋊C8C23×C1711yescharacteristic
1316C22⋊C8C23×C1711yescharacteristic
1317#97C23×C1711yescharacteristic
1318#97C23×C1711yescharacteristic
1319#97C23×C1711yescharacteristic
1320#97C23×C1711yescharacteristic
1321#97C23×C1711yescharacteristic
1322#97C23×C1711yescharacteristic
1323#97C23×C1711yescharacteristic
1324#97C23×C1711yescharacteristic
1325C4×C8C23×C1711yescharacteristic
1326C4×C8C23×C1711yescharacteristic
1327C17#6145511yescharacteristic, direct product factor, Sylow
1328C24—21no—
1329#41—22no—
1330#41—22no—
1331#41—22no—
1332#41—42no—
1333#41—41no—
1334#41—41no—
1335#41—41no—
1336#41—44no—
1337C2×Q8—21no—
1338C2×Q8—21no—
1339C2×Q8—21no—
1340C2×Q8—21no—
1341C2×Q8—22no—
1342C2×Q8—22no—
1343C2×Q8—41no—
1344C2×Q8—41no—
1345C2×Q8C2×D4×C1711yescharacteristic
1346C2×Q8C24×C1711yescharacteristic
1347C2×Q8C24×C1711yescharacteristic
1348C2×Q8C24×C1711yescharacteristic
1349C2×Q8C24×C1711yescharacteristic
1350C2×Q8C24×C1711yescharacteristic
1351C2×D4—22no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—41no—
1361C2×D4C2×D4×C1711yescharacteristic
1362C2×D4C2×D4×C1711yescharacteristic
1363C2×D4C2×D4×C1711yescharacteristic
1364C2×D4C24×C1711yescharacteristic
1365C2×D4C24×C1711yescharacteristic
1366C2×D4C24×C1711yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—44no—
1384C22×C4C2×D4×C1711yescharacteristic
1385C22×C4C2×D4×C1711yescharacteristic
1386C22×C4C2×D4×C1711yescharacteristic
1387C22×C4C2×D4×C1711yescharacteristic
1388C22×C4C2×D4×C1711yescharacteristic
1389C22×C4C2×D4×C1711yescharacteristic
1390C22×C4C24×C1711yescharacteristic
1391C22×C4C24×C1711yescharacteristic
1392C22×C4C24×C1711yescharacteristic
1393Q16—22no—
1394Q16—22no—
1395Q16—22no—
1396Q16—41no—
1397Q16—41no—
1398Q16—41no—
1399SD16—22no—
1400SD16—22no—
1401SD16—22no—
1402SD16—22no—
1403SD16—22no—
1404SD16—41no—
1405SD16—41no—
1406SD16#41×C1714yescomplemented
1407D8—22no—
1408D8—41no—
1409M16—22no—
1410M16—41no—
1411C2×C8—22no—
1412C2×C8—22no—
1413C2×C8—41no—
1414C2×C8—41no—
1415C2×C8C24×C1711yescharacteristic
1416C2×C8C24×C1711yescharacteristic
1417C2×C8C24×C1711yescharacteristic
1418C2×C8C24×C1711yescharacteristic
1419C2×C8C24×C1711yescharacteristic
1420C2×C8C24×C1711yescharacteristic
1421C2×C8C24×C1711yescharacteristic
1422C2×C8C24×C1711yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4C2×D4×C1711yescharacteristic
1461C4⋊C4C2×D4×C1711yescharacteristic
1462C4⋊C4C2×D4×C1711yescharacteristic
1463C4⋊C4C2×D4×C1711yescharacteristic
1464C4⋊C4C2×D4×C1711yescharacteristic
1465C4⋊C4C2×D4×C1711yescharacteristic
1466C4⋊C4C24×C1711yescharacteristic
1467C4⋊C4C24×C1711yescharacteristic
1468C4⋊C4C24×C1711yescharacteristic
1469C4⋊C4C24×C1711yescharacteristic
1470C4⋊C4C24×C1711yescharacteristic
1471C4⋊C4C24×C1711yescharacteristic
1472C4⋊C4C24×C1711yescharacteristic
1473C4⋊C4C24×C1711yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4C2×D4×C1711yescharacteristic
1506C22⋊C4C2×D4×C1711yescharacteristic
1507C22⋊C4C2×D4×C1711yescharacteristic
1508C22⋊C4C2×D4×C1711yescharacteristic
1509C22⋊C4C2×D4×C1711yescharacteristic
1510C22⋊C4C2×D4×C1711yescharacteristic
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42C2×D4×C1711yescharacteristic
1527C42C2×D4×C1711yescharacteristic
1528C42C2×D4×C1711yescharacteristic
1529C42C2×D4×C1711yescharacteristic
1530C42C2×D4×C1711yescharacteristic
1531C42C2×D4×C1711yescharacteristic
1532C42C24×C1711yescharacteristic
1533C42C24×C1711yescharacteristic
1534C42C24×C1711yescharacteristic
1535C42C24×C1711yescharacteristic
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—42no—
1540C23—42no—
1541C23—81no—
1542C23C22×D4×C1711yescharacteristic
1543C23C22×D4×C1711yescharacteristic
1544C23C22×D4×C1711yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—21no—
1553Q8—21no—
1554Q8—41no—
1555Q8—42no—
1556Q8—42no—
1557Q8—42no—
1558Q8—81no—
1559Q8C2×#41×C1712yes—
1560D4—22no—
1561D4—22no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—21no—
1566D4—21no—
1567D4—41no—
1568D4—42no—
1569D4—42no—
1570D4—42no—
1571D4—42no—
1572D4—42no—
1573D4—42no—
1574D4—81no—
1575D4—81no—
1576D4C2×#41×C1712yes—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—42no—
1603C2×C4—42no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—42no—
1611C2×C4—42no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4C22×D4×C1711yescharacteristic
1619C2×C4C22×D4×C1711yescharacteristic
1620C2×C4C22×D4×C1711yescharacteristic
1621C2×C4C22×D4×C1711yescharacteristic
1622C2×C4C22×D4×C1711yescharacteristic
1623C2×C4C22×D4×C1711yescharacteristic
1624C2×C4C22×D4×C1711yescharacteristic
1625C2×C4C22×D4×C1711yescharacteristic
1626C2×C4C22×D4×C1711yescharacteristic
1627C2×C4C22×D4×C1711yescharacteristic
1628C2×C4C22×D4×C1711yescharacteristic
1629C2×C4C25×C1711yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8C2×#41×C1712yes—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—22no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—84no—
1656C22C17×#57512yes—
1657C22C23×D4×C1711yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—22no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4C22×#41×C1711yescharacteristic
1683C4C17×#58511yescharacteristic
1684C2—22no—
1685C2—41no—
1686C2—41no—
1687C2—42no—
1688C2—81no—
1689C2—81no—
1690C2D4×#41×C1711yescharacteristic
1691C2C2×C17×#57511yescharacteristic
1692C2C17×#358611yescharacteristic
subgroupG/H
center, socleC22×C17C23×D4
commutator, Frattini, cosocleC2×C4C25×C17
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C17 ◁ C4×#41×C17 ◁ G

Complements

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

NH ≅ G/Ntype
1. C17×#3482C2semidirect
2. C17×#3475C2semidirect
3. C17×#3402C2semidirect
4. C17×#3388C2semidirect
5. C17×#3377C2semidirect
6. C17×#3376C2semidirect
7. C17×#3348C2semidirect
8. C17×#3343C2semidirect
9. C17×#3336C2semidirect
10. C17×#3321C2semidirect
11. C17×#3315C2semidirect
12. C17×#3312C2semidirect
13. C17×#3306C2semidirect
14. C17×#3300C2semidirect
15. C17×#3296C2semidirect
16. C17×#3282C2semidirect
17. C17×#3269C2semidirect
18. C17×#3266C2semidirect
19. C17×#3183C2semidirect
20. C17×#3181C2semidirect
21. C17×#3181C2semidirect
22. C17×#3117C2semidirect
23. C17×#3116C2semidirect
24. C17×#3114C2semidirect
25. C17×#3113C2semidirect
26. C17×#3111C2semidirect
27. C17×#3111C2semidirect
28. C17×#2970C2semidirect
29. C4×C17×#137C2semidirect
30. C17×#2943C2semidirect
31. C2×C17×#440C2semidirect
35. C17×#557C22semidirect
38. C17×#556C22semidirect
48. C17×#552C22semidirect
53. C17×#548C22semidirect
61. C17×#533C22semidirect
69. C17×#529C22semidirect
75. C4×#41×C17C22semidirect
77. C2×C4×Q8×C17C22semidirect
80. C17×#501C22semidirect
81. C17×#501C22semidirect
82. C17×#499C22semidirect
84. C17×#497C22semidirect
86. C17×#491C22semidirect
87. C17×#491C22semidirect
89. C17×#489C22semidirect
91. C17×#488C22semidirect
92. C17×#485C22semidirect
93. C17×#485C22semidirect
94. C17×#485C22semidirect
95. C17×#485C22semidirect
96. C17×#484C22semidirect
101. C17×#482C22semidirect
104. C17×#479C22semidirect
105. C17×#479C22semidirect
106. C17×#479C22semidirect
107. C17×#479C22semidirect
111. C17×#478C22semidirect
112. C17×#477C22semidirect
114. C17×#475C22semidirect
115. C17×#475C22semidirect
116. C17×#470C22semidirect
119. C17×#468C22semidirect
122. C17×#467C22semidirect
123. C17×#467C22semidirect
131. C17×#464C22semidirect
136. C17×#462C22semidirect
137. C17×#462C22semidirect
138. C17×#462C22semidirect
143. C17×#452C22semidirect
146. C17×#451C22semidirect
152. C17×#446C22semidirect
153. C17×#446C22semidirect
157. C17×#441C22semidirect
158. C17×#441C22semidirect
159. C17×#441C22semidirect
160. C17×#441C22semidirect
161. C17×#441C22semidirect
162. C17×#441C22semidirect
163. C17×#441C22semidirect
175. C17×#440C22semidirect
176. C17×#440C22semidirect
177. C17×#440C22semidirect
178. C4×Q16×C17C22semidirect
179. C4×Q16×C17C22semidirect
184. C17×#435C22semidirect
185. C17×#435C22semidirect
189. C17×#432C22semidirect
190. C17×#432C22semidirect
191. C17×#428C22semidirect
192. C17×#427C22semidirect
194. C17×#419C22semidirect
197. C17×#416C22semidirect
200. C4×M16×C17C22semidirect
202. C2×C17×#97C22semidirect
559. SD16×C17#41semidirect
689. #61455C17direct (N × H)
792. #3482C2×C17semidirect
793. #3475C2×C17semidirect
794. #3402C2×C17semidirect
795. #3388C2×C17semidirect
796. #3377C2×C17semidirect
797. #3376C2×C17semidirect
798. #3348C2×C17semidirect
799. #3343C2×C17semidirect
800. #3336C2×C17semidirect
801. #3321C2×C17semidirect
802. #3315C2×C17semidirect
803. #3312C2×C17semidirect
804. #3306C2×C17semidirect
805. #3300C2×C17semidirect
806. #3296C2×C17semidirect
807. #3282C2×C17semidirect
808. #3269C2×C17semidirect
809. #3266C2×C17semidirect
810. #3183C2×C17semidirect
811. #3181C2×C17semidirect
812. #3181C2×C17semidirect
813. #3117C2×C17semidirect
814. #3116C2×C17semidirect
815. #3114C2×C17semidirect
816. #3113C2×C17semidirect
817. #3111C2×C17semidirect
818. #3111C2×C17semidirect
819. #2970C2×C17semidirect
820. C4×#137C2×C17semidirect
821. #2943C2×C17semidirect
822. C2×#440C2×C17semidirect
872. #557C22×C17semidirect
875. #556C22×C17semidirect
885. #552C22×C17semidirect
890. #548C22×C17semidirect
898. #533C22×C17semidirect
906. #529C22×C17semidirect
912. C4×#41C22×C17semidirect
914. C2×C4×Q8C22×C17semidirect
917. #501C22×C17semidirect
918. #501C22×C17semidirect
919. #499C22×C17semidirect
921. #497C22×C17semidirect
923. #491C22×C17semidirect
924. #491C22×C17semidirect
926. #489C22×C17semidirect
928. #488C22×C17semidirect
929. #485C22×C17semidirect
930. #485C22×C17semidirect
931. #485C22×C17semidirect
932. #485C22×C17semidirect
933. #484C22×C17semidirect
938. #482C22×C17semidirect
941. #479C22×C17semidirect
942. #479C22×C17semidirect
943. #479C22×C17semidirect
944. #479C22×C17semidirect
948. #478C22×C17semidirect
949. #477C22×C17semidirect
951. #475C22×C17semidirect
952. #475C22×C17semidirect
953. #470C22×C17semidirect
956. #468C22×C17semidirect
959. #467C22×C17semidirect
960. #467C22×C17semidirect
968. #464C22×C17semidirect
973. #462C22×C17semidirect
974. #462C22×C17semidirect
975. #462C22×C17semidirect
980. #452C22×C17semidirect
983. #451C22×C17semidirect
989. #446C22×C17semidirect
990. #446C22×C17semidirect
994. #441C22×C17semidirect
995. #441C22×C17semidirect
996. #441C22×C17semidirect
997. #441C22×C17semidirect
998. #441C22×C17semidirect
999. #441C22×C17semidirect
1000. #441C22×C17semidirect
1012. #440C22×C17semidirect
1013. #440C22×C17semidirect
1014. #440C22×C17semidirect
1015. C4×Q16C22×C17semidirect
1016. C4×Q16C22×C17semidirect
1021. #435C22×C17semidirect
1022. #435C22×C17semidirect
1026. #432C22×C17semidirect
1027. #432C22×C17semidirect
1028. #428C22×C17semidirect
1029. #427C22×C17semidirect
1031. #419C22×C17semidirect
1034. #416C22×C17semidirect
1037. C4×M16C22×C17semidirect
1039. C2×#97C22×C17semidirect
1327. C17#61455direct (N × H)
1406. SD16#41×C17semidirect

Maximal subgroups

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

subgroupindex
C17×#34822
C17×#34752
C17×#34022
C17×#33882
C17×#33772
C17×#33762
C17×#33482
C17×#33432
C17×#33362
C17×#33212
C17×#33152
C17×#33122
C17×#33062
C17×#33002
C17×#32962
C17×#32822
C17×#32692
C17×#32662
C17×#31832
C17×#31812
C17×#31172
C17×#31162
C17×#31142
C17×#31132
C17×#31112
C17×#29702
C4×C17×#1372
C17×#29432
C2×C17×#4402
#6145517