Finite Group Databasebeta

← D17×#2578 #17204787

Subgroups — D17×#2578 #17204787

Order 4352.

2550 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
1#14534125C211yesmaximal, characteristic, complemented
2#14534124C211yesmaximal, characteristic, complemented
3#14534123C211yesmaximal, characteristic, complemented
4#14534122C211yesmaximal, characteristic, complemented
5#14534121C211yesmaximal, characteristic, complemented
6#14534120C211yesmaximal, characteristic, complemented
7#14534119C211yesmaximal, characteristic, complemented
8#14534118C211yesmaximal, characteristic, complemented
9#14534117C211yesmaximal, characteristic, complemented
10#14534116C211yesmaximal, characteristic, complemented
11#14534115C211yesmaximal, characteristic, complemented
12#14534114C211yesmaximal, characteristic, complemented
13#14534113C211yesmaximal, characteristic, complemented
14#14534112C211yesmaximal, characteristic, complemented
15#14534111C211yesmaximal, characteristic, complemented
16D17×#400C211yesmaximal, characteristic, complemented
17D17×#397C211yesmaximal, characteristic, complemented
18D17×#397C211yesmaximal, characteristic, complemented
19D17×#394C211yesmaximal, characteristic
20D17×#388C211yesmaximal, characteristic, complemented
21D17×#388C211yesmaximal, characteristic, complemented
22D17×#387C211yesmaximal, characteristic, complemented
23D17×#387C211yesmaximal, characteristic, complemented
24D17×#386C211yesmaximal, characteristic
25D17×#386C211yesmaximal, characteristic
26D17×#385C211yesmaximal, characteristic, complemented
27D17×#383C211yesmaximal, characteristic, complemented
28D17×#380C211yesmaximal, characteristic, complemented
29C4×C22⋊C4×D17C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D17C211yesmaximal, characteristic, complemented
31C17×#2578C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic
35C2×C4⋊C4×D17C2211yescharacteristic
36C2×C4⋊C4×D17C2211yescharacteristic
37C2×C4⋊C4×D17C2211yescharacteristic
38C2×C4⋊C4×D17C2211yescharacteristic
39C2×C4⋊C4×D17C2211yescharacteristic
40C2×C22⋊C4×D17C2211yescharacteristic
41C2×C22⋊C4×D17C2211yescharacteristic
42C2×C22⋊C4×D17C2211yescharacteristic
43C2×C22⋊C4×D17C2211yescharacteristic
44C2×C22⋊C4×D17C2211yescharacteristic
45C2×C22⋊C4×D17C2211yescharacteristic
46C2×C22⋊C4×D17C2211yescharacteristic
47C2×C22⋊C4×D17C2211yescharacteristic
48C2×C22⋊C4×D17C2211yescharacteristic
49C2×C22⋊C4×D17C2211yescharacteristic
50C2×C42×D17C2211yescharacteristic
51C2×C42×D17C2211yescharacteristic
52C2×C42×D17C2211yescharacteristic
53#11762751C2211yescharacteristic, complemented
54#11762751C2211yescharacteristic, complemented
55#11762750C2211yescharacteristic, complemented
56#11762750C2211yescharacteristic, complemented
57#11762749C2211yescharacteristic, complemented
58#11762748C2211yescharacteristic, complemented
59#11762747C2211yescharacteristic, complemented
60#11762738C2211yescharacteristic, complemented
61#11762738C2211yescharacteristic, complemented
62#11762738C2211yescharacteristic, complemented
63#11762738C2211yescharacteristic, complemented
64#11762737C2211yescharacteristic, complemented
65#11762737C2211yescharacteristic, complemented
66#11762737C2211yescharacteristic, complemented
67#11762737C2211yescharacteristic, complemented
68#11762736C2211yescharacteristic, complemented
69#11762736C2211yescharacteristic, complemented
70#11762735C2211yescharacteristic, complemented
71#11762735C2211yescharacteristic, complemented
72#11762734C2211yescharacteristic, complemented
73#11762734C2211yescharacteristic, complemented
74#11762727C2211yescharacteristic
75#11762726C2211yescharacteristic
76#11762725C2211yescharacteristic
77#11762725C2211yescharacteristic
78#11762724C2211yescharacteristic
79#11762724C2211yescharacteristic
80#11762723C2211yescharacteristic
81#11762703C2211yescharacteristic, complemented
82#11762703C2211yescharacteristic, complemented
83#11762702C2211yescharacteristic, complemented
84#11762702C2211yescharacteristic, complemented
85#11762701C2211yescharacteristic, complemented
86#11762701C2211yescharacteristic, complemented
87#11762700C2211yescharacteristic, complemented
88#11762700C2211yescharacteristic, complemented
89#11762699C2211yescharacteristic, complemented
90#11762699C2211yescharacteristic, complemented
91#11762698C2211yescharacteristic, complemented
92#11762698C2211yescharacteristic, complemented
93#11762697C2211yescharacteristic, complemented
94#11762697C2211yescharacteristic, complemented
95#11762696C2211yescharacteristic, complemented
96#11762696C2211yescharacteristic, complemented
97#11762695C2211yescharacteristic, complemented
98#11762695C2211yescharacteristic, complemented
99#11762694C2211yescharacteristic, complemented
100#11762694C2211yescharacteristic, complemented
101#11762693C2211yescharacteristic, complemented
102#11762693C2211yescharacteristic, complemented
103#11762692C2211yescharacteristic, complemented
104#11762692C2211yescharacteristic, complemented
105#11762691C2211yescharacteristic, complemented
106#11762691C2211yescharacteristic, complemented
107#11762690C2211yescharacteristic, complemented
108#11762690C2211yescharacteristic, complemented
109#11762689C2211yescharacteristic
110#11762689C2211yescharacteristic
111#11762688C2211yescharacteristic
112#11762688C2211yescharacteristic
113#11762687C2211yescharacteristic
114#11762687C2211yescharacteristic
115#11762687C2211yescharacteristic
116#11762687C2211yescharacteristic
117#11762686C2211yescharacteristic
118#11762686C2211yescharacteristic
119#11762685C2211yescharacteristic
120#11762685C2211yescharacteristic
121#11762685C2211yescharacteristic
122#11762685C2211yescharacteristic
123#11762684C2211yescharacteristic, complemented
124#11762683C2211yescharacteristic, complemented
125#11762683C2211yescharacteristic, complemented
126#11762682C2211yescharacteristic, complemented
127#11762681C2211yescharacteristic, complemented
128#11762680C2211yescharacteristic, complemented
129#11762680C2211yescharacteristic, complemented
130#11762677C2211yescharacteristic, complemented
131#11762676C2211yescharacteristic, complemented
132#11762676C2211yescharacteristic, complemented
133#11762676C2211yescharacteristic, complemented
134#11762676C2211yescharacteristic, complemented
135#11762676C2211yescharacteristic, complemented
136#11762676C2211yescharacteristic, complemented
137#11762669C2211yescharacteristic, complemented
138#11762668C2211yescharacteristic, complemented
139#11762668C2211yescharacteristic, complemented
140#11762667C2211yescharacteristic, complemented
141#11762667C2211yescharacteristic, complemented
142#11762666C2211yescharacteristic, complemented
143#11762666C2211yescharacteristic, complemented
144C22⋊C4×Dic17C2211yescharacteristic, complemented
145C22⋊C4×Dic17C2211yescharacteristic, complemented
146C22⋊C4×Dic17C2211yescharacteristic, complemented
147C22⋊C4×Dic17C2211yescharacteristic, complemented
148C4×#63227C2211yescharacteristic, complemented
149C4×#63227C2211yescharacteristic, complemented
150C4×#63227C2211yescharacteristic, complemented
151C4×#63227C2211yescharacteristic, complemented
152C4×C22⋊Dic17C2211yescharacteristic, complemented
153C4×C22⋊Dic17C2211yescharacteristic, complemented
154#11762656C2211yescharacteristic, complemented
155#11762656C2211yescharacteristic, complemented
156#11762656C2211yescharacteristic, complemented
157#11762656C2211yescharacteristic, complemented
158#95×D17C2211yescharacteristic
159#95×D17C2211yescharacteristic
160#95×D17C2211yescharacteristic
161#95×D17C2211yescharacteristic
162#95×D17C2211yescharacteristic
163#95×D17C2211yescharacteristic
164#95×D17C2211yescharacteristic
165#95×D17C2211yescharacteristic
166#95×D17C2211yescharacteristic
167#95×D17C2211yescharacteristic
168#95×D17C2211yescharacteristic
169#95×D17C2211yescharacteristic
170#95×D17C2211yescharacteristic
171#95×D17C2211yescharacteristic
172C17×#400C2211yescharacteristic, complemented
173C17×#397C2211yescharacteristic, complemented
174C17×#397C2211yescharacteristic, complemented
175C17×#394C2211yescharacteristic
176C17×#388C2211yescharacteristic, complemented
177C17×#388C2211yescharacteristic, complemented
178C17×#387C2211yescharacteristic, complemented
179C17×#387C2211yescharacteristic, complemented
180C17×#386C2211yescharacteristic
181C17×#386C2211yescharacteristic
182C17×#385C2211yescharacteristic, complemented
183C17×#383C2211yescharacteristic, complemented
184C17×#380C2211yescharacteristic, complemented
185C4×C22⋊C4×C17C2211yescharacteristic, complemented
186C4×C22⋊C4×C17C2211yescharacteristic, complemented
187C24×D17C2311yescharacteristic
188C24×D17C2311yescharacteristic
189C22×D4×C17C2311yescharacteristic
190C23×C4×C17C2311yescharacteristic
191C23×C4×C17C2311yescharacteristic
192C22×C22⋊D17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C23×Dic17C2311yescharacteristic
195C23×Dic17C2311yescharacteristic
196C2×D4×D17—24no—
197C2×D4×D17—24no—
198C2×D4×D17—42no—
199C22×D68C2311yescharacteristic
200C22×C4×D17—24no—
201C22×C4×D17—24no—
202C22×C4×D17—24no—
203C22×C4×D17—42no—
204C22×C4×D17—42no—
205C22×C4×D17—42no—
206C22×C4×D17C2311yescharacteristic
207C22×C4×D17C2311yescharacteristic
208C22×C4×D17C2311yescharacteristic
209C22×C4×D17C2311yescharacteristic
210C22×C4×D17C2311yescharacteristic
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C22×C4×D17C2311yescharacteristic
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C22×C4×D17C2311yescharacteristic
217C22×C4×D17C2311yescharacteristic
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C22⋊C4×C17C2311yescharacteristic
229C2×C22⋊C4×C17C2311yescharacteristic
230C2×C22⋊C4×C17C2311yescharacteristic
231C2×C22⋊C4×C17C2311yescharacteristic
232C2×C22⋊C4×C17C2311yescharacteristic
233C2×C22⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C42×C17C2311yescharacteristic
239C2×C42×C17C2311yescharacteristic
240C2×C42×C17C2311yescharacteristic
241C2×C22⋊Dic17C2311yescharacteristic
242C2×C22⋊Dic17C2311yescharacteristic
243C2×C22⋊Dic17C2311yescharacteristic
244C2×C22⋊Dic17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×#63227C2311yescharacteristic
252C2×#63227C2311yescharacteristic
253C2×#63227C2311yescharacteristic
254C2×#63227C2311yescharacteristic
255C2×#63227C2311yescharacteristic
256C2×#63227C2311yescharacteristic
257C2×#63227C2311yescharacteristic
258C2×#63227C2311yescharacteristic
259C2×#63227C2311yescharacteristic
260C2×#63227C2311yescharacteristic
261C2×#63227C2311yescharacteristic
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×C4⋊Dic17C2311yescharacteristic
272C2×C4⋊Dic17C2311yescharacteristic
273C2×C4⋊Dic17C2311yescharacteristic
274C2×C4⋊Dic17C2311yescharacteristic
275C2×C4⋊Dic17C2311yescharacteristic
276C2×#63225C2311yescharacteristic
277C2×#63225C2311yescharacteristic
278C2×#63225C2311yescharacteristic
279C2×#63225C2311yescharacteristic
280C2×#63225C2311yescharacteristic
281C2×#63225C2311yescharacteristic
282C2×#63225C2311yescharacteristic
283C2×#63225C2311yescharacteristic
284C2×#63225C2311yescharacteristic
285C2×#63225C2311yescharacteristic
286C2×C4×Dic17C2311yescharacteristic
287C2×C4×Dic17C2311yescharacteristic
288C2×C4×Dic17C2311yescharacteristic
289C2×C4×Dic17C2311yescharacteristic
290C2×C4×Dic17C2311yescharacteristic
291C2×C4×Dic17C2311yescharacteristic
292C2×C4×Dic17C2311yescharacteristic
293C2×C4×Dic17C2311yescharacteristic
294C2×C4×Dic17C2311yescharacteristic
295C4⋊C4×D17—24no—
296C4⋊C4×D17—24no—
297C4⋊C4×D17—42no—
298C4⋊C4×D17—42no—
299C4⋊C4×D17—42no—
300C22⋊C4×D17—24no—
301C22⋊C4×D17—24no—
302C22⋊C4×D17—24no—
303C22⋊C4×D17—24no—
304C22⋊C4×D17—24no—
305C22⋊C4×D17—24no—
306C22⋊C4×D17—24no—
307C22⋊C4×D17—42no—
308C22⋊C4×D17—42no—
309C22⋊C4×D17—42no—
310C42×D17—24no—
311C42×D17—42no—
312C42×D17—42no—
313C17×#95C2311yescharacteristic
314C17×#95C2311yescharacteristic
315C17×#95C2311yescharacteristic
316C17×#95C2311yescharacteristic
317C17×#95C2311yescharacteristic
318C17×#95C2311yescharacteristic
319C17×#95C2311yescharacteristic
320C17×#95C2311yescharacteristic
321C17×#95C2311yescharacteristic
322C17×#95C2311yescharacteristic
323C17×#95C2311yescharacteristic
324C17×#95C2311yescharacteristic
325C17×#95C2311yescharacteristic
326C17×#95C2311yescharacteristic
327#10587502C2311yescharacteristic
328#10587502C2311yescharacteristic
329#10587502C2311yescharacteristic
330#10587502C2311yescharacteristic
331#10587502C2311yescharacteristic
332#10587502C2311yescharacteristic
333#10587502C2311yescharacteristic
334#10587502C2311yescharacteristic
335#10587502C2311yescharacteristic
336#10587502C2311yescharacteristic
337#10587502C2311yescharacteristic
338#10587502C2311yescharacteristic
339#10587502C2311yescharacteristic
340#10587502C2311yescharacteristic
341#10587502C2311yescharacteristic
342#10587502C2311yescharacteristic
343#10587502C2311yescharacteristic
344#10587502C2311yescharacteristic
345#10587502C2311yescharacteristic
346#10587502C2311yescharacteristic
347#10587502C2311yescharacteristic
348#10587502C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369C24×C17C2411yescharacteristic
370C24×C17C2411yescharacteristic
371C23×D17—22no—
372C23×D17—22no—
373C23×D17—22no—
374C23×D17—22no—
375C23×D17—22no—
376C23×D17—22no—
377C23×D17—22no—
378C23×D17—22no—
379C23×D17—22no—
380C23×D17—22no—
381C23×D17—22no—
382C23×D17—22no—
383C23×D17#4114yes—
384C23×D17#4114yes—
385C23×D17C2411yescharacteristic
386C23×D17C2411yescharacteristic
387C23×D17C2411yescharacteristic
388C2×D4×C17—22no—
389C2×D4×C17—22no—
390C2×D4×C17—41no—
391C22×C4×C17—22no—
392C22×C4×C17—22no—
393C22×C4×C17—22no—
394C22×C4×C17—41no—
395C22×C4×C17—41no—
396C22×C4×C17—41no—
397C22×C4×C17C2411yescharacteristic
398C22×C4×C17C2411yescharacteristic
399C22×C4×C17C2411yescharacteristic
400C22×C4×C17C2411yescharacteristic
401C22×C4×C17C2411yescharacteristic
402C22×C4×C17C2411yescharacteristic
403C22×C4×C17C2411yescharacteristic
404C22×C4×C17C2411yescharacteristic
405C22×C4×C17C2411yescharacteristic
406C22×C4×C17C2411yescharacteristic
407C22×C4×C17C2411yescharacteristic
408C22×C4×C17C2411yescharacteristic
409C22×C4×C17C2411yescharacteristic
410C2×C22⋊D17—22no—
411C2×C22⋊D17—22no—
412C2×C22⋊D17—22no—
413C2×C22⋊D17—22no—
414C2×C22⋊D17—41no—
415C2×C22⋊D17—41no—
416C22×Dic17—22no—
417C22×Dic17—22no—
418C22×Dic17—22no—
419C22×Dic17—41no—
420C22×Dic17—41no—
421C22×Dic17—41no—
422C22×Dic17C2411yescharacteristic
423C22×Dic17C2411yescharacteristic
424C22×Dic17C2411yescharacteristic
425C22×Dic17C2411yescharacteristic
426C22×Dic17C2411yescharacteristic
427C22×Dic17C2411yescharacteristic
428C22×Dic17C2411yescharacteristic
429C22×Dic17C2411yescharacteristic
430C22×Dic17C2411yescharacteristic
431C22×Dic17C2411yescharacteristic
432C22×Dic17C2411yescharacteristic
433C22×Dic17C2411yescharacteristic
434C22×Dic17C2411yescharacteristic
435D4×D17—416no—
436C2×D68—22no—
437C2×D68—22no—
438C2×D68—41no—
439C2×C4×D17—22no—
440C2×C4×D17—22no—
441C2×C4×D17—22no—
442C2×C4×D17—22no—
443C2×C4×D17—22no—
444C2×C4×D17—22no—
445C2×C4×D17—22no—
446C2×C4×D17—22no—
447C2×C4×D17—22no—
448C2×C4×D17—22no—
449C2×C4×D17—22no—
450C2×C4×D17—22no—
451C2×C4×D17—22no—
452C2×C4×D17—22no—
453C2×C4×D17—22no—
454C2×C4×D17—22no—
455C2×C4×D17—22no—
456C2×C4×D17—22no—
457C2×C4×D17—22no—
458C2×C4×D17—22no—
459C2×C4×D17—22no—
460C2×C4×D17—22no—
461C2×C4×D17—22no—
462C2×C4×D17—22no—
463C2×C4×D17—22no—
464C2×C4×D17—22no—
465C2×C4×D17—22no—
466C2×C4×D17—22no—
467C2×C4×D17—22no—
468C2×C4×D17—22no—
469C2×C4×D17—22no—
470C2×C4×D17—22no—
471C2×C4×D17—22no—
472C2×C4×D17—22no—
473C2×C4×D17—22no—
474C2×C4×D17—22no—
475C2×C4×D17—22no—
476C2×C4×D17—22no—
477C2×C4×D17—22no—
478C2×C4×D17—22no—
479C2×C4×D17—22no—
480C2×C4×D17—22no—
481C2×C4×D17—416no—
482C2×C4×D17—416no—
483C2×C4×D17—41no—
484C2×C4×D17—41no—
485C2×C4×D17—41no—
486C2×C4×D17—41no—
487C2×C4×D17—41no—
488C2×C4×D17—41no—
489C2×C4×D17#4114yes—
490C2×C4×D17#4114yes—
491C2×C4×D17#4114yes—
492C4⋊C4×C17—22no—
493C4⋊C4×C17—22no—
494C4⋊C4×C17—41no—
495C4⋊C4×C17—41no—
496C4⋊C4×C17—41no—
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—41no—
505C22⋊C4×C17—41no—
506C22⋊C4×C17—41no—
507C42×C17—22no—
508C42×C17—41no—
509C42×C17—41no—
510C22⋊Dic17—22no—
511C22⋊Dic17—22no—
512C22⋊Dic17—22no—
513C22⋊Dic17—22no—
514C22⋊Dic17—22no—
515C22⋊Dic17—22no—
516C22⋊Dic17—22no—
517C22⋊Dic17—41no—
518C22⋊Dic17—41no—
519C22⋊Dic17—41no—
520#63227—22no—
521#63227—22no—
522#63227—22no—
523#63227—22no—
524#63227—22no—
525#63227—22no—
526#63227—22no—
527#63227—22no—
528#63227—22no—
529#63227—22no—
530#63227—22no—
531#63227—22no—
532#63227—22no—
533#63227—22no—
534#63227—41no—
535#63227—41no—
536#63227—41no—
537#63227—41no—
538#63227—41no—
539#63227—41no—
540C4⋊Dic17—22no—
541C4⋊Dic17—22no—
542C4⋊Dic17—41no—
543C4⋊Dic17—41no—
544C4⋊Dic17—41no—
545#63225—22no—
546#63225—22no—
547#63225—22no—
548#63225—22no—
549#63225—41no—
550#63225—41no—
551#63225—41no—
552#63225—41no—
553#63225—41no—
554#63225—41no—
555C4×Dic17—22no—
556C4×Dic17—22no—
557C4×Dic17—22no—
558C4×Dic17—41no—
559C4×Dic17—41no—
560C4×Dic17—41no—
561C4×Dic17—41no—
562C4×Dic17—41no—
563C4×Dic17—41no—
564C2×#2578—171nomaximal, Sylow
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—21no—
576C23×C17—21no—
577C23×C17C2×#4112yes—
578C23×C17C2×#4112yes—
579C23×C17C2511yescharacteristic
580C22×D17—21no—
581C22×D17—21no—
582C22×D17—21no—
583C22×D17—21no—
584C22×D17—21no—
585C22×D17—21no—
586C22×D17—21no—
587C22×D17—21no—
588C22×D17—21no—
589C22×D17—21no—
590C22×D17—21no—
591C22×D17—21no—
592C22×D17—28no—
593C22×D17—28no—
594C22×D17—28no—
595C22×D17—28no—
596C22×D17—28no—
597C22×D17—28no—
598C22×D17—44no—
599C22×D17—44no—
600C22×D17—44no—
601C22×D17—44no—
602C22×D17—44no—
603C22×D17—44no—
604C22×D17—44no—
605C22×D17—44no—
606C22×D17C2×#4112yes—
607C22×D17C2×#4112yes—
608C22×D17C2×#4112yes—
609C22×D17C2×#4112yes—
610C22×D17C2×#4112yes—
611C22×D17C2×#4112yes—
612C22×D17C2×#4112yes—
613C22×D17H(5,𝔽2)12yes—
614C22×D17H(5,𝔽2)12yes—
615D4×C17—44no—
616C2×C4×C17—21no—
617C2×C4×C17—21no—
618C2×C4×C17—21no—
619C2×C4×C17—21no—
620C2×C4×C17—21no—
621C2×C4×C17—21no—
622C2×C4×C17—21no—
623C2×C4×C17—21no—
624C2×C4×C17—21no—
625C2×C4×C17—21no—
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—44no—
653C2×C4×C17—44no—
654C2×C4×C17C2×#4112yes—
655C2×C4×C17C2×#4112yes—
656C2×C4×C17C2×#4112yes—
657C22⋊D17—44no—
658C22⋊D17—44no—
659C2×Dic17—21no—
660C2×Dic17—21no—
661C2×Dic17—21no—
662C2×Dic17—21no—
663C2×Dic17—21no—
664C2×Dic17—21no—
665C2×Dic17—21no—
666C2×Dic17—21no—
667C2×Dic17—21no—
668C2×Dic17—21no—
669C2×Dic17—21no—
670C2×Dic17—21no—
671C2×Dic17—21no—
672C2×Dic17—21no—
673C2×Dic17—21no—
674C2×Dic17—21no—
675C2×Dic17—21no—
676C2×Dic17—21no—
677C2×Dic17—21no—
678C2×Dic17—21no—
679C2×Dic17—21no—
680C2×Dic17—21no—
681C2×Dic17—21no—
682C2×Dic17—21no—
683C2×Dic17—21no—
684C2×Dic17—21no—
685C2×Dic17—21no—
686C2×Dic17—21no—
687C2×Dic17—21no—
688C2×Dic17—21no—
689C2×Dic17—21no—
690C2×Dic17—21no—
691C2×Dic17—21no—
692C2×Dic17—21no—
693C2×Dic17—21no—
694C2×Dic17—21no—
695C2×Dic17—44no—
696C2×Dic17—44no—
697C2×Dic17C2×#4112yes—
698C2×Dic17C2×#4112yes—
699C2×Dic17C2×#4112yes—
700D68—44no—
701C4×D17—28no—
702C4×D17—28no—
703C4×D17—28no—
704C4×D17—44no—
705C4×D17—44no—
706C4×D17—44no—
707C4×D17—44no—
708C4×D17—44no—
709C4×D17—44no—
710C4×D17—44no—
711C4×D17—44no—
712C4×D17—44no—
713C4×D17—44no—
714C4×D17—44no—
715C4×D17—44no—
716C4×D17—44no—
717C4×D17—44no—
718#2578—171no—
719#2578—171no—
720#2578—171no—
721#2578—171no—
722#2578—171no—
723#2578—171no—
724#2578—171no—
725#2578—171no—
726#2578—171no—
727#2578—171no—
728#2578—171no—
729#2578—171no—
730#2578—171no—
731#2578—171no—
732#2578—171no—
733#2578D1711yescharacteristic, direct product factor
734C2×#400—171no—
735C2×#397—171no—
736C2×#397—171no—
737C2×#394—171no—
738C2×#388—171no—
739C2×#388—171no—
740C2×#387—171no—
741C2×#387—171no—
742C2×#386—171no—
743C2×#386—171no—
744C2×#385—171no—
745C2×#383—171no—
746C2×#380—171no—
747C2×C4×C22⋊C4—171no—
748C2×C4×C22⋊C4—171no—
749C22×C17—22no—
750C22×C17—22no—
751C22×C17—22no—
752C22×C17—22no—
753C22×C17—22no—
754C22×C17—22no—
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×C17C22×#4111yescharacteristic
764C22×C17C22×#4111yescharacteristic
765C22×C17C22×#4111yescharacteristic
766C22×C17C22×#4111yescharacteristic
767C22×C17C22×#4111yescharacteristic
768C22×C17C2×H(5,𝔽2)11yescharacteristic
769C22×C17C2×H(5,𝔽2)11yescharacteristic
770C2×D17—22no—
771C2×D17—22no—
772C2×D17—22no—
773C2×D17—22no—
774C2×D17—22no—
775C2×D17—22no—
776C2×D17—41no—
777C2×D17—41no—
778C2×D17—41no—
779C2×D17—41no—
780C2×D17—41no—
781C2×D17—41no—
782C2×D17—41no—
783C2×D17—41no—
784C2×D17—416no—
785C2×D17—416no—
786C2×D17#52914yes—
787C2×D17#52914yes—
788C2×D17#53814yes—
789C2×D17#55114yes—
790C2×D17#55114yes—
791C2×D17#55314yes—
792C2×D17#55314yes—
793C4×C17—22no—
794C4×C17—22no—
795C4×C17—22no—
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—
806Dic17—22no—
807Dic17—22no—
808Dic17—22no—
809Dic17—41no—
810Dic17—41no—
811Dic17—41no—
812Dic17—41no—
813Dic17—41no—
814Dic17—41no—
815Dic17—41no—
816Dic17—41no—
817Dic17—41no—
818Dic17—41no—
819C23×D4—171no—
820C24×C4—171no—
821C24×C4—171no—
822C22×C4⋊C4—171no—
823C22×C4⋊C4—171no—
824C22×C4⋊C4—171no—
825C22×C4⋊C4—171no—
826C22×C4⋊C4—171no—
827C22×C22⋊C4—171no—
828C22×C22⋊C4—171no—
829C22×C22⋊C4—171no—
830C22×C22⋊C4—171no—
831C22×C22⋊C4—171no—
832C22×C22⋊C4—171no—
833C22×C22⋊C4—171no—
834C22×C22⋊C4—171no—
835C22×C22⋊C4—171no—
836C22×C22⋊C4—171no—
837C22×C42—171no—
838C22×C42—171no—
839C22×C42—171no—
840#400—171no—
841#400—171no—
842#400—171no—
843#400—171no—
844#400—171no—
845#400—171no—
846#400—171no—
847#400C2×D1711yescharacteristic, complemented
848#397—171no—
849#397—171no—
850#397—171no—
851#397—171no—
852#397—171no—
853#397—171no—
854#397—171no—
855#397—171no—
856#397—171no—
857#397—171no—
858#397—171no—
859#397—171no—
860#397—171no—
861#397—171no—
862#397C2×D1711yescharacteristic, complemented
863#397C2×D1711yescharacteristic, complemented
864#394—171no—
865#394—171no—
866#394—171no—
867#394—171no—
868#394—171no—
869#394—171no—
870#394—171no—
871#394C2×D1711yescharacteristic
872#388—171no—
873#388—171no—
874#388—171no—
875#388—171no—
876#388—171no—
877#388—171no—
878#388—171no—
879#388—171no—
880#388—171no—
881#388—171no—
882#388—171no—
883#388—171no—
884#388—171no—
885#388—171no—
886#388C2×D1711yescharacteristic, complemented
887#388C2×D1711yescharacteristic, complemented
888#387—171no—
889#387—171no—
890#387—171no—
891#387—171no—
892#387—171no—
893#387—171no—
894#387—171no—
895#387—171no—
896#387—171no—
897#387—171no—
898#387—171no—
899#387—171no—
900#387—171no—
901#387—171no—
902#387C2×D1711yescharacteristic, complemented
903#387C2×D1711yescharacteristic, complemented
904#386—171no—
905#386—171no—
906#386—171no—
907#386—171no—
908#386—171no—
909#386—171no—
910#386—171no—
911#386—171no—
912#386—171no—
913#386—171no—
914#386—171no—
915#386—171no—
916#386—171no—
917#386—171no—
918#386C2×D1711yescharacteristic
919#386C2×D1711yescharacteristic
920#385—171no—
921#385—171no—
922#385—171no—
923#385—171no—
924#385—171no—
925#385—171no—
926#385—171no—
927#385C2×D1711yescharacteristic, complemented
928#383—171no—
929#383—171no—
930#383—171no—
931#383—171no—
932#383—171no—
933#383—171no—
934#383—171no—
935#383C2×D1711yescharacteristic, complemented
936#380—171no—
937#380—171no—
938#380—171no—
939#380—171no—
940#380—171no—
941#380—171no—
942#380—171no—
943#380C2×D1711yescharacteristic, complemented
944C4×C22⋊C4—171no—
945C4×C22⋊C4—171no—
946C4×C22⋊C4—171no—
947C4×C22⋊C4—171no—
948C4×C22⋊C4—171no—
949C4×C22⋊C4—171no—
950C4×C22⋊C4—171no—
951C4×C22⋊C4—171no—
952C4×C22⋊C4—171no—
953C4×C22⋊C4—171no—
954C4×C22⋊C4—171no—
955C4×C22⋊C4—171no—
956C4×C22⋊C4—171no—
957C4×C22⋊C4—171no—
958C4×C22⋊C4C2×D1711yescharacteristic, complemented
959C4×C22⋊C4C2×D1711yescharacteristic, complemented
960C2×#95—171no—
961C2×#95—171no—
962C2×#95—171no—
963C2×#95—171no—
964C2×#95—171no—
965C2×#95—171no—
966C2×#95—171no—
967C2×#95—171no—
968C2×#95—171no—
969C2×#95—171no—
970C2×#95—171no—
971C2×#95—171no—
972C2×#95—171no—
973C2×#95—171no—
974C2×C17—42no—
975C2×C17—42no—
976C2×C17C2×#52911yescharacteristic
977C2×C17C2×#52911yescharacteristic
978C2×C17C2×#53811yescharacteristic
979C2×C17C2×#55111yescharacteristic
980C2×C17C2×#55111yescharacteristic
981C2×C17C2×#55311yescharacteristic
982C2×C17C2×#55311yescharacteristic
983D17—42no—
984D17—42no—
985D17#257818yesdirect product factor
986C25—171no—
987C25—171no—
988C22×D4—171no—
989C22×D4—171no—
990C22×D4—171no—
991C22×D4—344no—
992C22×D4—344no—
993C22×D4—682no—
994C22×D4C22×D1711yescharacteristic
995C23×C4—171no—
996C23×C4—171no—
997C23×C4—171no—
998C23×C4—171no—
999C23×C4—171no—
1000C23×C4—171no—
1001C23×C4—171no—
1002C23×C4—171no—
1003C23×C4—171no—
1004C23×C4—171no—
1005C23×C4—171no—
1006C23×C4—171no—
1007C23×C4—171no—
1008C23×C4—171no—
1009C23×C4—171no—
1010C23×C4—171no—
1011C23×C4—171no—
1012C23×C4—171no—
1013C23×C4—171no—
1014C23×C4—344no—
1015C23×C4—344no—
1016C23×C4—344no—
1017C23×C4—682no—
1018C23×C4—682no—
1019C23×C4—682no—
1020C23×C4C22×D1711yescharacteristic
1021C23×C4C22×D1711yescharacteristic
1022C2×C4⋊C4—171no—
1023C2×C4⋊C4—171no—
1024C2×C4⋊C4—171no—
1025C2×C4⋊C4—171no—
1026C2×C4⋊C4—171no—
1027C2×C4⋊C4—171no—
1028C2×C4⋊C4—171no—
1029C2×C4⋊C4—171no—
1030C2×C4⋊C4—171no—
1031C2×C4⋊C4—171no—
1032C2×C4⋊C4—171no—
1033C2×C4⋊C4—171no—
1034C2×C4⋊C4—171no—
1035C2×C4⋊C4—171no—
1036C2×C4⋊C4—171no—
1037C2×C4⋊C4—344no—
1038C2×C4⋊C4—344no—
1039C2×C4⋊C4—682no—
1040C2×C4⋊C4—682no—
1041C2×C4⋊C4—682no—
1042C2×C4⋊C4C22×D1711yescharacteristic
1043C2×C4⋊C4C22×D1711yescharacteristic
1044C2×C4⋊C4C22×D1711yescharacteristic
1045C2×C4⋊C4C22×D1711yescharacteristic
1046C2×C4⋊C4C22×D1711yescharacteristic
1047C2×C22⋊C4—171no—
1048C2×C22⋊C4—171no—
1049C2×C22⋊C4—171no—
1050C2×C22⋊C4—171no—
1051C2×C22⋊C4—171no—
1052C2×C22⋊C4—171no—
1053C2×C22⋊C4—171no—
1054C2×C22⋊C4—171no—
1055C2×C22⋊C4—171no—
1056C2×C22⋊C4—171no—
1057C2×C22⋊C4—171no—
1058C2×C22⋊C4—171no—
1059C2×C22⋊C4—171no—
1060C2×C22⋊C4—171no—
1061C2×C22⋊C4—171no—
1062C2×C22⋊C4—171no—
1063C2×C22⋊C4—171no—
1064C2×C22⋊C4—171no—
1065C2×C22⋊C4—171no—
1066C2×C22⋊C4—171no—
1067C2×C22⋊C4—171no—
1068C2×C22⋊C4—171no—
1069C2×C22⋊C4—171no—
1070C2×C22⋊C4—171no—
1071C2×C22⋊C4—171no—
1072C2×C22⋊C4—171no—
1073C2×C22⋊C4—171no—
1074C2×C22⋊C4—171no—
1075C2×C22⋊C4—171no—
1076C2×C22⋊C4—171no—
1077C2×C22⋊C4—344no—
1078C2×C22⋊C4—344no—
1079C2×C22⋊C4—344no—
1080C2×C22⋊C4—344no—
1081C2×C22⋊C4—344no—
1082C2×C22⋊C4—344no—
1083C2×C22⋊C4—344no—
1084C2×C22⋊C4—682no—
1085C2×C22⋊C4—682no—
1086C2×C22⋊C4—682no—
1087C2×C22⋊C4C22×D1711yescharacteristic
1088C2×C22⋊C4C22×D1711yescharacteristic
1089C2×C22⋊C4C22×D1711yescharacteristic
1090C2×C22⋊C4C22×D1711yescharacteristic
1091C2×C22⋊C4C22×D1711yescharacteristic
1092C2×C22⋊C4C22×D1711yescharacteristic
1093C2×C22⋊C4C22×D1711yescharacteristic
1094C2×C22⋊C4C22×D1711yescharacteristic
1095C2×C22⋊C4C22×D1711yescharacteristic
1096C2×C22⋊C4C22×D1711yescharacteristic
1097C2×C42—171no—
1098C2×C42—171no—
1099C2×C42—171no—
1100C2×C42—171no—
1101C2×C42—171no—
1102C2×C42—171no—
1103C2×C42—171no—
1104C2×C42—171no—
1105C2×C42—171no—
1106C2×C42—344no—
1107C2×C42—682no—
1108C2×C42—682no—
1109C2×C42C22×D1711yescharacteristic
1110C2×C42C22×D1711yescharacteristic
1111C2×C42C22×D1711yescharacteristic
1112#95—171no—
1113#95—171no—
1114#95—171no—
1115#95—171no—
1116#95—171no—
1117#95—171no—
1118#95—171no—
1119#95—171no—
1120#95—171no—
1121#95—171no—
1122#95—171no—
1123#95—171no—
1124#95—171no—
1125#95—171no—
1126#95—171no—
1127#95—171no—
1128#95—171no—
1129#95—171no—
1130#95—171no—
1131#95—171no—
1132#95—171no—
1133#95—171no—
1134#95—171no—
1135#95—171no—
1136#95—171no—
1137#95—171no—
1138#95—171no—
1139#95—171no—
1140#95—171no—
1141#95—171no—
1142#95—171no—
1143#95—171no—
1144#95—171no—
1145#95—171no—
1146#95—171no—
1147#95—171no—
1148#95—171no—
1149#95—171no—
1150#95—171no—
1151#95—171no—
1152#95—171no—
1153#95—171no—
1154#95C22×D1711yescharacteristic
1155#95C22×D1711yescharacteristic
1156#95C22×D1711yescharacteristic
1157#95C22×D1711yescharacteristic
1158#95C22×D1711yescharacteristic
1159#95C22×D1711yescharacteristic
1160#95C22×D1711yescharacteristic
1161#95C22×D1711yescharacteristic
1162#95C22×D1711yescharacteristic
1163#95C22×D1711yescharacteristic
1164#95C22×D1711yescharacteristic
1165#95C22×D1711yescharacteristic
1166#95C22×D1711yescharacteristic
1167#95C22×D1711yescharacteristic
1168C17C2×#257811yescharacteristic, complemented, Sylow
1169C24—171no—
1170C24—174no—
1171C24—174no—
1172C24—171no—
1173C24—171no—
1174C24—342no—
1175C24—342no—
1176C24—342no—
1177C24—342no—
1178C24—342no—
1179C24—342no—
1180C24—342no—
1181C24—342no—
1182C24—342no—
1183C24—342no—
1184C24—342no—
1185C24—342no—
1186C24C23×D1711yescharacteristic
1187C24C23×D1711yescharacteristic
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—41no—
1191C2×D4—342no—
1192C2×D4—342no—
1193C2×D4—342no—
1194C2×D4—342no—
1195C2×D4—342no—
1196C2×D4—342no—
1197C2×D4—681no—
1198C2×D4—681no—
1199C2×D4—681no—
1200C2×D4—6816no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—171no—
1208C22×C4—171no—
1209C22×C4—171no—
1210C22×C4—174no—
1211C22×C4—174no—
1212C22×C4—174no—
1213C22×C4—171no—
1214C22×C4—171no—
1215C22×C4—171no—
1216C22×C4—171no—
1217C22×C4—171no—
1218C22×C4—171no—
1219C22×C4—171no—
1220C22×C4—171no—
1221C22×C4—171no—
1222C22×C4—171no—
1223C22×C4—342no—
1224C22×C4—342no—
1225C22×C4—342no—
1226C22×C4—342no—
1227C22×C4—342no—
1228C22×C4—342no—
1229C22×C4—342no—
1230C22×C4—342no—
1231C22×C4—342no—
1232C22×C4—342no—
1233C22×C4—342no—
1234C22×C4—342no—
1235C22×C4—342no—
1236C22×C4—342no—
1237C22×C4—342no—
1238C22×C4—342no—
1239C22×C4—342no—
1240C22×C4—342no—
1241C22×C4—342no—
1242C22×C4—342no—
1243C22×C4—342no—
1244C22×C4—342no—
1245C22×C4—342no—
1246C22×C4—342no—
1247C22×C4—342no—
1248C22×C4—342no—
1249C22×C4—342no—
1250C22×C4—342no—
1251C22×C4—342no—
1252C22×C4—342no—
1253C22×C4—342no—
1254C22×C4—342no—
1255C22×C4—342no—
1256C22×C4—342no—
1257C22×C4—342no—
1258C22×C4—342no—
1259C22×C4—342no—
1260C22×C4—342no—
1261C22×C4—342no—
1262C22×C4—342no—
1263C22×C4—342no—
1264C22×C4—342no—
1265C22×C4—342no—
1266C22×C4—342no—
1267C22×C4—342no—
1268C22×C4—681no—
1269C22×C4—681no—
1270C22×C4—681no—
1271C22×C4—681no—
1272C22×C4—681no—
1273C22×C4—681no—
1274C22×C4—6816no—
1275C22×C4—6816no—
1276C22×C4—681no—
1277C22×C4—681no—
1278C22×C4—681no—
1279C22×C4C23×D1711yescharacteristic
1280C22×C4C23×D1711yescharacteristic
1281C22×C4C23×D1711yescharacteristic
1282C22×C4C23×D1711yescharacteristic
1283C22×C4C23×D1711yescharacteristic
1284C22×C4C23×D1711yescharacteristic
1285C22×C4C23×D1711yescharacteristic
1286C22×C4C23×D1711yescharacteristic
1287C22×C4C23×D1711yescharacteristic
1288C22×C4C23×D1711yescharacteristic
1289C22×C4C23×D1711yescharacteristic
1290C22×C4C23×D1711yescharacteristic
1291C22×C4C23×D1711yescharacteristic
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—342no—
1298C4⋊C4—342no—
1299C4⋊C4—342no—
1300C4⋊C4—342no—
1301C4⋊C4—342no—
1302C4⋊C4—342no—
1303C4⋊C4—681no—
1304C4⋊C4—681no—
1305C4⋊C4—681no—
1306C4⋊C4—681no—
1307C4⋊C4—681no—
1308C4⋊C4—681no—
1309C4⋊C4—681no—
1310C4⋊C4—681no—
1311C4⋊C4—681no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—342no—
1323C22⋊C4—342no—
1324C22⋊C4—342no—
1325C22⋊C4—342no—
1326C22⋊C4—342no—
1327C22⋊C4—342no—
1328C22⋊C4—342no—
1329C22⋊C4—342no—
1330C22⋊C4—342no—
1331C22⋊C4—342no—
1332C22⋊C4—342no—
1333C22⋊C4—342no—
1334C22⋊C4—342no—
1335C22⋊C4—342no—
1336C22⋊C4—342no—
1337C22⋊C4—342no—
1338C22⋊C4—342no—
1339C22⋊C4—342no—
1340C22⋊C4—342no—
1341C22⋊C4—342no—
1342C22⋊C4—342no—
1343C22⋊C4—681no—
1344C22⋊C4—681no—
1345C22⋊C4—681no—
1346C22⋊C4—681no—
1347C22⋊C4—681no—
1348C22⋊C4—681no—
1349C22⋊C4—681no—
1350C22⋊C4—681no—
1351C22⋊C4—681no—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—342no—
1356C42—342no—
1357C42—342no—
1358C42—681no—
1359C42—681no—
1360C42—681no—
1361C42—681no—
1362C42—681no—
1363C42—681no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—172no—
1377C23—172no—
1378C23—172no—
1379C23—172no—
1380C23—172no—
1381C23—172no—
1382C23—172no—
1383C23—172no—
1384C23—172no—
1385C23—348no—
1386C23—348no—
1387C23—348no—
1388C23—348no—
1389C23—348no—
1390C23—348no—
1391C23—341no—
1392C23—341no—
1393C23—341no—
1394C23—341no—
1395C23—341no—
1396C23—341no—
1397C23—341no—
1398C23—341no—
1399C23—341no—
1400C23—341no—
1401C23—341no—
1402C23—341no—
1403C23—684no—
1404C23—684no—
1405C23—684no—
1406C23—684no—
1407C23—684no—
1408C23—684no—
1409C23—684no—
1410C23—684no—
1411C23#41×D1712yes—
1412C23#41×D1712yes—
1413C23C24×D1711yescharacteristic
1414D4—44no—
1415D4—684no—
1416D4—684no—
1417D4—684no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
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—44no—
1455C2×C4—44no—
1456C2×C4—172no—
1457C2×C4—172no—
1458C2×C4—172no—
1459C2×C4—348no—
1460C2×C4—348no—
1461C2×C4—348no—
1462C2×C4—341no—
1463C2×C4—341no—
1464C2×C4—341no—
1465C2×C4—341no—
1466C2×C4—341no—
1467C2×C4—341no—
1468C2×C4—341no—
1469C2×C4—341no—
1470C2×C4—341no—
1471C2×C4—341no—
1472C2×C4—341no—
1473C2×C4—341no—
1474C2×C4—341no—
1475C2×C4—341no—
1476C2×C4—341no—
1477C2×C4—341no—
1478C2×C4—341no—
1479C2×C4—341no—
1480C2×C4—341no—
1481C2×C4—341no—
1482C2×C4—341no—
1483C2×C4—341no—
1484C2×C4—341no—
1485C2×C4—341no—
1486C2×C4—341no—
1487C2×C4—341no—
1488C2×C4—341no—
1489C2×C4—341no—
1490C2×C4—341no—
1491C2×C4—341no—
1492C2×C4—341no—
1493C2×C4—341no—
1494C2×C4—341no—
1495C2×C4—341no—
1496C2×C4—341no—
1497C2×C4—341no—
1498C2×C4—684no—
1499C2×C4—684no—
1500C2×C4—684no—
1501C2×C4—684no—
1502C2×C4—684no—
1503C2×C4—684no—
1504C2×C4—684no—
1505C2×C4—684no—
1506C2×C4—684no—
1507C2×C4—684no—
1508C2×C4—684no—
1509C2×C4—684no—
1510C2×C4—684no—
1511C2×C4—684no—
1512C2×C4—684no—
1513C2×C4—684no—
1514C2×C4#41×D1712yes—
1515C2×C4#41×D1712yes—
1516C2×C4#41×D1712yes—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—174no—
1532C22—174no—
1533C22—174no—
1534C22—174no—
1535C22—174no—
1536C22—174no—
1537C22—174no—
1538C22—342no—
1539C22—342no—
1540C22—342no—
1541C22—342no—
1542C22—342no—
1543C22—342no—
1544C22—6816no—
1545C22—6816no—
1546C22—681no—
1547C22—681no—
1548C22—681no—
1549C22—681no—
1550C22—681no—
1551C22—681no—
1552C22—681no—
1553C22—681no—
1554C22C2×#41×D1711yescharacteristic
1555C22C2×#41×D1711yescharacteristic
1556C22C2×#41×D1711yescharacteristic
1557C22C2×#41×D1711yescharacteristic
1558C22C2×#41×D1711yescharacteristic
1559C22H(5,𝔽2)×D1711yescharacteristic
1560C22H(5,𝔽2)×D1711yescharacteristic
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—342no—
1575C4—342no—
1576C4—342no—
1577C4—681no—
1578C4—681no—
1579C4—681no—
1580C4—681no—
1581C4—681no—
1582C4—681no—
1583C4—681no—
1584C4—681no—
1585C4—681no—
1586C4—681no—
1587C2—42no—
1588C2—42no—
1589C2—178no—
1590C2—682no—
1591C2—682no—
1592C2D17×#52911yescharacteristic
1593C2D17×#52911yescharacteristic
1594C2D17×#53811yescharacteristic
1595C2D17×#55111yescharacteristic
1596C2D17×#55111yescharacteristic
1597C2D17×#55311yescharacteristic
1598C2D17×#55311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2578C2
prime radicalC22×D4×D17C22
hypercenter#2578D17
hypocenterC17C2×#2578
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2578

Complements

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

NH ≅ G/Ntype
1. #14534125C2semidirect
2. #14534124C2semidirect
3. #14534123C2semidirect
4. #14534122C2semidirect
5. #14534121C2semidirect
6. #14534120C2semidirect
7. #14534119C2semidirect
8. #14534118C2semidirect
9. #14534117C2semidirect
10. #14534116C2semidirect
11. #14534115C2semidirect
12. #14534114C2semidirect
13. #14534113C2semidirect
14. #14534112C2semidirect
15. #14534111C2semidirect
16. D17×#400C2semidirect
17. D17×#397C2semidirect
18. D17×#397C2semidirect
20. D17×#388C2semidirect
21. D17×#388C2semidirect
22. D17×#387C2semidirect
23. D17×#387C2semidirect
26. D17×#385C2semidirect
27. D17×#383C2semidirect
28. D17×#380C2semidirect
29. C4×C22⋊C4×D17C2semidirect
30. C4×C22⋊C4×D17C2semidirect
31. C17×#2578C2semidirect
53. #11762751C22semidirect
54. #11762751C22semidirect
55. #11762750C22semidirect
56. #11762750C22semidirect
57. #11762749C22semidirect
58. #11762748C22semidirect
59. #11762747C22semidirect
60. #11762738C22semidirect
61. #11762738C22semidirect
62. #11762738C22semidirect
63. #11762738C22semidirect
64. #11762737C22semidirect
65. #11762737C22semidirect
66. #11762737C22semidirect
67. #11762737C22semidirect
68. #11762736C22semidirect
69. #11762736C22semidirect
70. #11762735C22semidirect
71. #11762735C22semidirect
72. #11762734C22semidirect
73. #11762734C22semidirect
81. #11762703C22semidirect
82. #11762703C22semidirect
83. #11762702C22semidirect
84. #11762702C22semidirect
85. #11762701C22semidirect
86. #11762701C22semidirect
87. #11762700C22semidirect
88. #11762700C22semidirect
89. #11762699C22semidirect
90. #11762699C22semidirect
91. #11762698C22semidirect
92. #11762698C22semidirect
93. #11762697C22semidirect
94. #11762697C22semidirect
95. #11762696C22semidirect
96. #11762696C22semidirect
97. #11762695C22semidirect
98. #11762695C22semidirect
99. #11762694C22semidirect
100. #11762694C22semidirect
101. #11762693C22semidirect
102. #11762693C22semidirect
103. #11762692C22semidirect
104. #11762692C22semidirect
105. #11762691C22semidirect
106. #11762691C22semidirect
107. #11762690C22semidirect
108. #11762690C22semidirect
123. #11762684C22semidirect
124. #11762683C22semidirect
125. #11762683C22semidirect
126. #11762682C22semidirect
127. #11762681C22semidirect
128. #11762680C22semidirect
129. #11762680C22semidirect
130. #11762677C22semidirect
131. #11762676C22semidirect
132. #11762676C22semidirect
133. #11762676C22semidirect
134. #11762676C22semidirect
135. #11762676C22semidirect
136. #11762676C22semidirect
137. #11762669C22semidirect
138. #11762668C22semidirect
139. #11762668C22semidirect
140. #11762667C22semidirect
141. #11762667C22semidirect
142. #11762666C22semidirect
143. #11762666C22semidirect
144. C22⋊C4×Dic17C22semidirect
145. C22⋊C4×Dic17C22semidirect
146. C22⋊C4×Dic17C22semidirect
147. C22⋊C4×Dic17C22semidirect
148. C4×#63227C22semidirect
149. C4×#63227C22semidirect
150. C4×#63227C22semidirect
151. C4×#63227C22semidirect
152. C4×C22⋊Dic17C22semidirect
153. C4×C22⋊Dic17C22semidirect
154. #11762656C22semidirect
155. #11762656C22semidirect
156. #11762656C22semidirect
157. #11762656C22semidirect
172. C17×#400C22semidirect
173. C17×#397C22semidirect
174. C17×#397C22semidirect
176. C17×#388C22semidirect
177. C17×#388C22semidirect
178. C17×#387C22semidirect
179. C17×#387C22semidirect
182. C17×#385C22semidirect
183. C17×#383C22semidirect
184. C17×#380C22semidirect
185. C4×C22⋊C4×C17C22semidirect
186. C4×C22⋊C4×C17C22semidirect
733. #2578D17direct (N × H)
847. #400C2×D17semidirect
862. #397C2×D17semidirect
863. #397C2×D17semidirect
886. #388C2×D17semidirect
887. #388C2×D17semidirect
902. #387C2×D17semidirect
903. #387C2×D17semidirect
927. #385C2×D17semidirect
935. #383C2×D17semidirect
943. #380C2×D17semidirect
958. C4×C22⋊C4C2×D17semidirect
959. C4×C22⋊C4C2×D17semidirect
985. D17#2578direct (N × H)
1168. C17C2×#2578semidirect

Maximal subgroups

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

subgroupindex
#145341252
#145341242
#145341232
#145341222
#145341212
#145341202
#145341192
#145341182
#145341172
#145341162
#145341152
#145341142
#145341132
#145341122
#145341112
D17×#4002
D17×#3972
D17×#3942
D17×#3882
D17×#3872
D17×#3862
D17×#3852
D17×#3832
D17×#3802
C4×C22⋊C4×D172
C17×#25782
C2×#257817