Finite Group Databasebeta

← D17×#2521 #17203387

Subgroups — D17×#2521 #17203387

Order 4352.

2898 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#126×D17C211yesmaximal, characteristic, complemented
2C2×#124×D17C211yesmaximal, characteristic
3#14533494C211yesmaximal, characteristic, complemented
4#14533493C211yesmaximal, characteristic, complemented
5#14533492C211yesmaximal, characteristic, complemented
6#14533491C211yesmaximal, characteristic, complemented
7#14533490C211yesmaximal, characteristic, complemented
8#14533489C211yesmaximal, characteristic, complemented
9#14533488C211yesmaximal, characteristic, complemented
10#14533487C211yesmaximal, characteristic, complemented
11#14533486C211yesmaximal, characteristic, complemented
12#14533485C211yesmaximal, characteristic, complemented
13#14533484C211yesmaximal, characteristic, complemented
14#14533483C211yesmaximal, characteristic, complemented
15#14533482C211yesmaximal, characteristic, complemented
16#14533481C211yesmaximal, characteristic, complemented
17#14533480C211yesmaximal, characteristic, complemented
18D17×#399C211yesmaximal, characteristic, complemented
19D17×#397C211yesmaximal, characteristic, complemented
20D17×#395C211yesmaximal, characteristic, complemented
21D17×#394C211yesmaximal, characteristic
22D17×#391C211yesmaximal, characteristic, complemented
23D17×#388C211yesmaximal, characteristic, complemented
24D17×#388C211yesmaximal, characteristic, complemented
25D17×#388C211yesmaximal, characteristic, complemented
26D17×#387C211yesmaximal, characteristic, complemented
27D17×#386C211yesmaximal, characteristic
28D17×#380C211yesmaximal, characteristic, complemented
29C4×C4⋊C4×D17C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D17C211yesmaximal, characteristic, complemented
31C17×#2521C211yesmaximal, characteristic, complemented
32C22×Q8×D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic
35C2×#10587584C2211yescharacteristic, complemented
36C2×#10587584C2211yescharacteristic, complemented
37C2×#10587584C2211yescharacteristic, complemented
38C2×#10587562C2211yescharacteristic, complemented
39C2×#10587565C2211yescharacteristic, complemented
40C2×#10587565C2211yescharacteristic, complemented
41C2×#10587565C2211yescharacteristic, complemented
42#126×D17—28no—
43C2×#10587633C2211yescharacteristic
44C2×#10587561C2211yescharacteristic
45C2×#10587622C2211yescharacteristic
46C2×#10587571C2211yescharacteristic
47C2×#10587571C2211yescharacteristic
48C2×#10587571C2211yescharacteristic
49C2×#10587571C2211yescharacteristic
50#124×D17—28no—
51C2×C4⋊C4×D17C2211yescharacteristic
52C2×C4⋊C4×D17C2211yescharacteristic
53C2×C4⋊C4×D17C2211yescharacteristic
54C2×C4⋊C4×D17C2211yescharacteristic
55C2×C4⋊C4×D17C2211yescharacteristic
56C2×C4⋊C4×D17C2211yescharacteristic
57C2×C4⋊C4×D17C2211yescharacteristic
58C2×C22⋊C4×D17C2211yescharacteristic
59C2×C22⋊C4×D17C2211yescharacteristic
60C2×C22⋊C4×D17C2211yescharacteristic
61C2×C22⋊C4×D17C2211yescharacteristic
62C2×C22⋊C4×D17C2211yescharacteristic
63C2×C22⋊C4×D17C2211yescharacteristic
64C2×C22⋊C4×D17C2211yescharacteristic
65C2×C22⋊C4×D17C2211yescharacteristic
66C2×C22⋊C4×D17C2211yescharacteristic
67C2×C22⋊C4×D17C2211yescharacteristic
68C2×C22⋊C4×D17C2211yescharacteristic
69C2×C42×D17C2211yescharacteristic
70C2×C42×D17C2211yescharacteristic
71C2×C42×D17C2211yescharacteristic
72C2×C42×D17C2211yescharacteristic
73#11762746C2211yescharacteristic, complemented
74#11762745C2211yescharacteristic, complemented
75#11762745C2211yescharacteristic, complemented
76#11762745C2211yescharacteristic, complemented
77#11762744C2211yescharacteristic, complemented
78#11762744C2211yescharacteristic, complemented
79#11762744C2211yescharacteristic, complemented
80#11762738C2211yescharacteristic, complemented
81#11762738C2211yescharacteristic, complemented
82#11762737C2211yescharacteristic, complemented
83#11762737C2211yescharacteristic, complemented
84#11762736C2211yescharacteristic, complemented
85#11762735C2211yescharacteristic, complemented
86#11762734C2211yescharacteristic, complemented
87#11762730C2211yescharacteristic, complemented
88#11762730C2211yescharacteristic, complemented
89#11762730C2211yescharacteristic, complemented
90#11762729C2211yescharacteristic, complemented
91#11762729C2211yescharacteristic, complemented
92#11762729C2211yescharacteristic, complemented
93#11762728C2211yescharacteristic, complemented
94#11762727C2211yescharacteristic
95#11762726C2211yescharacteristic
96#11762725C2211yescharacteristic
97#11762725C2211yescharacteristic
98#11762724C2211yescharacteristic
99#11762724C2211yescharacteristic
100#11762723C2211yescharacteristic
101#11762716C2211yescharacteristic, complemented
102#11762715C2211yescharacteristic, complemented
103#11762714C2211yescharacteristic, complemented
104#11762713C2211yescharacteristic, complemented
105#11762713C2211yescharacteristic, complemented
106#11762713C2211yescharacteristic, complemented
107#11762713C2211yescharacteristic, complemented
108#11762703C2211yescharacteristic, complemented
109#11762703C2211yescharacteristic, complemented
110#11762703C2211yescharacteristic, complemented
111#11762702C2211yescharacteristic, complemented
112#11762702C2211yescharacteristic, complemented
113#11762702C2211yescharacteristic, complemented
114#11762701C2211yescharacteristic, complemented
115#11762701C2211yescharacteristic, complemented
116#11762701C2211yescharacteristic, complemented
117#11762700C2211yescharacteristic, complemented
118#11762700C2211yescharacteristic, complemented
119#11762700C2211yescharacteristic, complemented
120#11762699C2211yescharacteristic, complemented
121#11762699C2211yescharacteristic, complemented
122#11762699C2211yescharacteristic, complemented
123#11762698C2211yescharacteristic, complemented
124#11762698C2211yescharacteristic, complemented
125#11762698C2211yescharacteristic, complemented
126#11762697C2211yescharacteristic, complemented
127#11762697C2211yescharacteristic, complemented
128#11762697C2211yescharacteristic, complemented
129#11762696C2211yescharacteristic, complemented
130#11762695C2211yescharacteristic, complemented
131#11762694C2211yescharacteristic, complemented
132#11762693C2211yescharacteristic, complemented
133#11762692C2211yescharacteristic, complemented
134#11762691C2211yescharacteristic, complemented
135#11762690C2211yescharacteristic, complemented
136#11762689C2211yescharacteristic
137#11762688C2211yescharacteristic
138#11762687C2211yescharacteristic
139#11762687C2211yescharacteristic
140#11762686C2211yescharacteristic
141#11762685C2211yescharacteristic
142#11762685C2211yescharacteristic
143#11762669C2211yescharacteristic, complemented
144#11762668C2211yescharacteristic, complemented
145#11762668C2211yescharacteristic, complemented
146#11762667C2211yescharacteristic, complemented
147#11762667C2211yescharacteristic, complemented
148#11762666C2211yescharacteristic, complemented
149#11762666C2211yescharacteristic, complemented
150C4⋊C4×Dic17C2211yescharacteristic, complemented
151C4⋊C4×Dic17C2211yescharacteristic, complemented
152C4×#63225C2211yescharacteristic, complemented
153C4×#63225C2211yescharacteristic, complemented
154C4×C4⋊Dic17C2211yescharacteristic, complemented
155#11762660C2211yescharacteristic, complemented
156#11762660C2211yescharacteristic, complemented
157C22⋊C4×Dic17C2211yescharacteristic, complemented
158C22⋊C4×Dic17C2211yescharacteristic, complemented
159C4×#63227C2211yescharacteristic, complemented
160C4×#63227C2211yescharacteristic, complemented
161C4×C22⋊Dic17C2211yescharacteristic, complemented
162#11762656C2211yescharacteristic, complemented
163#11762656C2211yescharacteristic, complemented
164#95×D17C2211yescharacteristic
165#95×D17C2211yescharacteristic
166#95×D17C2211yescharacteristic
167#95×D17C2211yescharacteristic
168#95×D17C2211yescharacteristic
169#95×D17C2211yescharacteristic
170#95×D17C2211yescharacteristic
171#95×D17C2211yescharacteristic
172#95×D17C2211yescharacteristic
173#95×D17C2211yescharacteristic
174C2×C17×#126C2211yescharacteristic, complemented
175C2×C17×#124C2211yescharacteristic
176C17×#399C2211yescharacteristic, complemented
177C17×#397C2211yescharacteristic, complemented
178C17×#395C2211yescharacteristic, complemented
179C17×#394C2211yescharacteristic
180C17×#391C2211yescharacteristic, complemented
181C17×#388C2211yescharacteristic, complemented
182C17×#388C2211yescharacteristic, complemented
183C17×#388C2211yescharacteristic, complemented
184C17×#387C2211yescharacteristic, complemented
185C17×#386C2211yescharacteristic
186C17×#380C2211yescharacteristic, complemented
187C4×C4⋊C4×C17C2211yescharacteristic, complemented
188C4×C22⋊C4×C17C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C22×Q8×C17C2311yescharacteristic
192C22×D4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
195C22×C22⋊D17C2311yescharacteristic
196C23×Dic17C2311yescharacteristic
197C2×Q8×D17—24no—
198C2×Q8×D17—24no—
199C2×Q8×D17—42no—
200C2×D4×D17—24no—
201C2×D4×D17—24no—
202C2×D4×D17—42no—
203C22×D68C2311yescharacteristic
204C22×C4×D17—24no—
205C22×C4×D17—24no—
206C22×C4×D17—42no—
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×Dic34C2311yescharacteristic
223C22×Dic34C2311yescharacteristic
224C22×Dic34C2311yescharacteristic
225C17×#126—24no—
226C17×#124—24no—
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊C4×C17C2311yescharacteristic
230C2×C4⋊C4×C17C2311yescharacteristic
231C2×C4⋊C4×C17C2311yescharacteristic
232C2×C4⋊C4×C17C2311yescharacteristic
233C2×C4⋊C4×C17C2311yescharacteristic
234C2×C22⋊C4×C17C2311yescharacteristic
235C2×C22⋊C4×C17C2311yescharacteristic
236C2×C22⋊C4×C17C2311yescharacteristic
237C2×C22⋊C4×C17C2311yescharacteristic
238C2×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C22⋊C4×C17C2311yescharacteristic
242C2×C22⋊C4×C17C2311yescharacteristic
243C2×C22⋊C4×C17C2311yescharacteristic
244C2×C22⋊C4×C17C2311yescharacteristic
245C2×C42×C17C2311yescharacteristic
246C2×C42×C17C2311yescharacteristic
247C2×C42×C17C2311yescharacteristic
248C2×C42×C17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
256C2×C22⋊Dic17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260#10587633—24no—
261#10587622—24no—
262C2×#63227C2311yescharacteristic
263C2×#63227C2311yescharacteristic
264C2×#63227C2311yescharacteristic
265C2×#63227C2311yescharacteristic
266C2×#63227C2311yescharacteristic
267C2×#63227C2311yescharacteristic
268C2×#63227C2311yescharacteristic
269C2×#63227C2311yescharacteristic
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×C4⋊Dic17C2311yescharacteristic
285C2×C4⋊Dic17C2311yescharacteristic
286C2×C4⋊Dic17C2311yescharacteristic
287C2×C4⋊Dic17C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×#63225C2311yescharacteristic
292C2×#63225C2311yescharacteristic
293C2×#63225C2311yescharacteristic
294C2×#63225C2311yescharacteristic
295C2×#63225C2311yescharacteristic
296C2×#63225C2311yescharacteristic
297C2×#63225C2311yescharacteristic
298C2×#63225C2311yescharacteristic
299C2×#63225C2311yescharacteristic
300C2×#63225C2311yescharacteristic
301C2×#63225C2311yescharacteristic
302C2×#63225C2311yescharacteristic
303C2×#63225C2311yescharacteristic
304C2×#63225C2311yescharacteristic
305C2×C4×Dic17C2311yescharacteristic
306C2×C4×Dic17C2311yescharacteristic
307C2×C4×Dic17C2311yescharacteristic
308C2×C4×Dic17C2311yescharacteristic
309C2×C4×Dic17C2311yescharacteristic
310C2×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317#10587584—24no—
318#10587584—24no—
319#10587584—24no—
320C4⋊C4×D17—24no—
321C4⋊C4×D17—24no—
322C4⋊C4×D17—24no—
323C4⋊C4×D17—24no—
324C4⋊C4×D17—24no—
325C4⋊C4×D17—24no—
326C4⋊C4×D17—42no—
327#10587571—24no—
328#10587571—24no—
329#10587571—24no—
330#10587571—24no—
331C22⋊C4×D17—24no—
332C22⋊C4×D17—24no—
333C22⋊C4×D17—24no—
334C22⋊C4×D17—24no—
335C22⋊C4×D17—24no—
336C22⋊C4×D17—24no—
337C22⋊C4×D17—24no—
338C22⋊C4×D17—24no—
339C22⋊C4×D17—24no—
340C22⋊C4×D17—42no—
341C22⋊C4×D17D418yes—
342#10587565—24no—
343#10587565—24no—
344#10587565—24no—
345#10587562—24no—
346#10587561—24no—
347C42×D17—24no—
348C42×D17—24no—
349C42×D17—24no—
350C42×D17—42no—
351C17×#95C2311yescharacteristic
352C17×#95C2311yescharacteristic
353C17×#95C2311yescharacteristic
354C17×#95C2311yescharacteristic
355C17×#95C2311yescharacteristic
356C17×#95C2311yescharacteristic
357C17×#95C2311yescharacteristic
358C17×#95C2311yescharacteristic
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
369#10587502C2311yescharacteristic
370#10587502C2311yescharacteristic
371#10587502C2311yescharacteristic
372#10587502C2311yescharacteristic
373#10587502C2311yescharacteristic
374#10587502C2311yescharacteristic
375#10587502C2311yescharacteristic
376#10587502C2311yescharacteristic
377#10587502C2311yescharacteristic
378#10587502C2311yescharacteristic
379#10587502C2311yescharacteristic
380#10587502C2311yescharacteristic
381#10587502C2311yescharacteristic
382#10587502C2311yescharacteristic
383#10587502C2311yescharacteristic
384#10587502C2311yescharacteristic
385#10587502C2311yescharacteristic
386#10587502C2311yescharacteristic
387#10587502C2311yescharacteristic
388#10587502C2311yescharacteristic
389#10587502C2311yescharacteristic
390#10587502C2311yescharacteristic
391C24×C17C2411yescharacteristic
392C24×C17C2411yescharacteristic
393C23×D17—22no—
394C23×D17—22no—
395C23×D17—22no—
396C23×D17—22no—
397C23×D17—22no—
398C23×D17—22no—
399C23×D17—22no—
400C23×D17—22no—
401C23×D17—22no—
402C23×D17—22no—
403C23×D17—22no—
404C23×D17—22no—
405C23×D17—22no—
406C23×D17C2×D414yes—
407C23×D17C2411yescharacteristic
408C23×D17C2411yescharacteristic
409C23×D17C2411yescharacteristic
410C2×Q8×C17—22no—
411C2×Q8×C17—22no—
412C2×Q8×C17—41no—
413C2×D4×C17—22no—
414C2×D4×C17—22no—
415C2×D4×C17—41no—
416C22×C4×C17—22no—
417C22×C4×C17—22no—
418C22×C4×C17—41no—
419C22×C4×C17C2411yescharacteristic
420C22×C4×C17C2411yescharacteristic
421C22×C4×C17C2411yescharacteristic
422C22×C4×C17C2411yescharacteristic
423C22×C4×C17C2411yescharacteristic
424C22×C4×C17C2411yescharacteristic
425C22×C4×C17C2411yescharacteristic
426C22×C4×C17C2411yescharacteristic
427C22×C4×C17C2411yescharacteristic
428C22×C4×C17C2411yescharacteristic
429C22×C4×C17C2411yescharacteristic
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C2×C22⋊D17—22no—
433C2×C22⋊D17—22no—
434C2×C22⋊D17—22no—
435C2×C22⋊D17—22no—
436C2×C22⋊D17—41no—
437C2×C22⋊D17—41no—
438C22×Dic17—22no—
439C22×Dic17—22no—
440C22×Dic17—41no—
441C22×Dic17C2411yescharacteristic
442C22×Dic17C2411yescharacteristic
443C22×Dic17C2411yescharacteristic
444C22×Dic17C2411yescharacteristic
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451C22×Dic17C2411yescharacteristic
452C22×Dic17C2411yescharacteristic
453C22×Dic17C2411yescharacteristic
454Q8×D17—416no—
455D4×D17—416no—
456C2×D68—22no—
457C2×D68—22no—
458C2×D68—41no—
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—22no—
482C2×C4×D17—22no—
483C2×C4×D17—22no—
484C2×C4×D17—22no—
485C2×C4×D17—22no—
486C2×C4×D17—22no—
487C2×C4×D17—22no—
488C2×C4×D17—22no—
489C2×C4×D17—22no—
490C2×C4×D17—22no—
491C2×C4×D17—22no—
492C2×C4×D17—22no—
493C2×C4×D17—22no—
494C2×C4×D17—22no—
495C2×C4×D17—22no—
496C2×C4×D17—416no—
497C2×C4×D17—41no—
498C2×C4×D17—41no—
499C2×C4×D17C2×D414yes—
500C2×C4×D17C2×D414yes—
501C2×C4×D17#4114yes—
502C2×C4×D17#4114yes—
503C2×C4×D17#4114yes—
504C2×C4×D17#4114yes—
505C2×Dic34—22no—
506C2×Dic34—22no—
507C2×Dic34—22no—
508C2×Dic34—22no—
509C2×Dic34—22no—
510C2×Dic34—22no—
511C2×Dic34—41no—
512C2×Dic34—41no—
513C2×Dic34—41no—
514C4⋊C4×C17—22no—
515C4⋊C4×C17—22no—
516C4⋊C4×C17—22no—
517C4⋊C4×C17—22no—
518C4⋊C4×C17—22no—
519C4⋊C4×C17—22no—
520C4⋊C4×C17—41no—
521C22⋊C4×C17—22no—
522C22⋊C4×C17—22no—
523C22⋊C4×C17—22no—
524C22⋊C4×C17—22no—
525C22⋊C4×C17—22no—
526C22⋊C4×C17—22no—
527C22⋊C4×C17—22no—
528C22⋊C4×C17—22no—
529C22⋊C4×C17—22no—
530C22⋊C4×C17—41no—
531C22⋊C4×C17C2×D414yes—
532C42×C17—22no—
533C42×C17—22no—
534C42×C17—22no—
535C42×C17—41no—
536C22⋊Dic17—22no—
537C22⋊Dic17—22no—
538C22⋊Dic17—22no—
539C22⋊Dic17—22no—
540C22⋊Dic17—22no—
541C22⋊Dic17—22no—
542C22⋊Dic17—22no—
543C22⋊Dic17—22no—
544C22⋊Dic17—22no—
545C22⋊Dic17—41no—
546C22⋊Dic17C2×D414yes—
547#63227—22no—
548#63227—22no—
549#63227—22no—
550#63227—22no—
551#63227—22no—
552#63227—22no—
553#63227—22no—
554#63227—22no—
555#63227—22no—
556#63227—22no—
557#63227—22no—
558#63227—22no—
559#63227—22no—
560#63227—22no—
561#63227—22no—
562#63227—22no—
563#63227—22no—
564#63227—22no—
565#63227—41no—
566#63227—41no—
567#63227C2×D414yes—
568#63227C2×D414yes—
569C4⋊Dic17—22no—
570C4⋊Dic17—22no—
571C4⋊Dic17—22no—
572C4⋊Dic17—22no—
573C4⋊Dic17—22no—
574C4⋊Dic17—22no—
575C4⋊Dic17—41no—
576#63225—22no—
577#63225—22no—
578#63225—22no—
579#63225—22no—
580#63225—22no—
581#63225—22no—
582#63225—22no—
583#63225—22no—
584#63225—22no—
585#63225—22no—
586#63225—22no—
587#63225—22no—
588#63225—41no—
589#63225—41no—
590C4×Dic17—22no—
591C4×Dic17—22no—
592C4×Dic17—22no—
593C4×Dic17—22no—
594C4×Dic17—22no—
595C4×Dic17—22no—
596C4×Dic17—22no—
597C4×Dic17—22no—
598C4×Dic17—22no—
599C4×Dic17—41no—
600C4×Dic17—41no—
601C4×Dic17—41no—
602C2×#2521—171nomaximal, Sylow
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—21no—
606C23×C17—21no—
607C23×C17—21no—
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17—21no—
616C23×C17C22×D412yes—
617C23×C17C2511yescharacteristic
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—28no—
625C22×D17—28no—
626C22×D17—28no—
627C22×D17—21no—
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631C22×D17—21no—
632C22×D17—21no—
633C22×D17—21no—
634C22×D17—44no—
635C22×D17—44no—
636C22×D17—44no—
637C22×D17—44no—
638C22×D17—44no—
639C22×D17—44no—
640C22×D17—44no—
641C22×D17—44no—
642C22×D17—44no—
643C22×D17—44no—
644C22×D17—44no—
645C22×D17C22×D412yes—
646C22×D17C22×D412yes—
647C22×D17C2×#4112yes—
648C22×D17C2×#4112yes—
649C22×D17C2×#4112yes—
650C22×D17C2×#4112yes—
651C22×D17H(5,𝔽2)12yes—
652C22×D172−1+412yes—
653Q8×C17—44no—
654D4×C17—44no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—44no—
689C2×C4×C17C22×D412yes—
690C2×C4×C17C22×D412yes—
691C2×C4×C17C2×#4112yes—
692C2×C4×C17C2×#4112yes—
693C2×C4×C17C2×#4112yes—
694C2×C4×C17C2×#4112yes—
695C22⋊D17—44no—
696C22⋊D17—44no—
697C2×Dic17—21no—
698C2×Dic17—21no—
699C2×Dic17—21no—
700C2×Dic17—21no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—44no—
731C2×Dic17C22×D412yes—
732C2×Dic17C22×D412yes—
733C2×Dic17C2×#4112yes—
734C2×Dic17C2×#4112yes—
735C2×Dic17C2×#4112yes—
736C2×Dic17C2×#4112yes—
737D68—44no—
738C4×D17—28no—
739C4×D17—28no—
740C4×D17—28no—
741C4×D17—28no—
742C4×D17—28no—
743C4×D17—28no—
744C4×D17—44no—
745C4×D17—44no—
746C4×D17—44no—
747C4×D17—44no—
748C4×D17—44no—
749C4×D17—44no—
750C4×D17—44no—
751C4×D17—44no—
752C4×D17—44no—
753Dic34—44no—
754Dic34—44no—
755Dic34—44no—
756C22×#126—171no—
757C22×#124—171no—
758#2521—171no—
759#2521—171no—
760#2521—171no—
761#2521—171no—
762#2521—171no—
763#2521—171no—
764#2521—171no—
765#2521—171no—
766#2521—171no—
767#2521—171no—
768#2521—171no—
769#2521—171no—
770#2521—171no—
771#2521—171no—
772#2521—171no—
773#2521D1711yescharacteristic, direct product factor
774C2×#399—171no—
775C2×#397—171no—
776C2×#395—171no—
777C2×#394—171no—
778C2×#391—171no—
779C2×#388—171no—
780C2×#388—171no—
781C2×#388—171no—
782C2×#387—171no—
783C2×#386—171no—
784C2×#380—171no—
785C2×C4×C4⋊C4—171no—
786C2×C4×C22⋊C4—171no—
787C22×C17—22no—
788C22×C17—22no—
789C22×C17—22no—
790C22×C17—41no—
791C22×C17—41no—
792C22×C17—41no—
793C22×C17—41no—
794C22×C17—41no—
795C22×C17—41no—
796C22×C17—41no—
797C22×C17—41no—
798C22×C17—41no—
799C22×C17—41no—
800C22×C17—41no—
801C22×C17C23×D411yescharacteristic
802C22×C17C22×#4111yescharacteristic
803C22×C17C22×#4111yescharacteristic
804C22×C17C22×#4111yescharacteristic
805C22×C17C22×#4111yescharacteristic
806C22×C17C2×H(5,𝔽2)11yescharacteristic
807C22×C17C2×2−1+411yescharacteristic
808C2×D17—22no—
809C2×D17—22no—
810C2×D17—22no—
811C2×D17—41no—
812C2×D17—41no—
813C2×D17—41no—
814C2×D17—41no—
815C2×D17—416no—
816C2×D17—41no—
817C2×D17—41no—
818C2×D17—41no—
819C2×D17—41no—
820C2×D17—41no—
821C2×D17—41no—
822C2×D17—41no—
823C2×D17—88no—
824C2×D17#52914yes—
825C2×D17#53214yes—
826C2×D17#54214yes—
827C2×D17#54614yes—
828C2×D17#54714yes—
829C2×D17#55114yes—
830C2×D17#55614yes—
831C4×C17—22no—
832C4×C17—22no—
833C4×C17—22no—
834C4×C17—22no—
835C4×C17—22no—
836C4×C17—22no—
837C4×C17—41no—
838C4×C17—41no—
839C4×C17—41no—
840C4×C17—41no—
841C4×C17—41no—
842C4×C17—41no—
843C4×C17—41no—
844Dic17—22no—
845Dic17—22no—
846Dic17—22no—
847Dic17—22no—
848Dic17—22no—
849Dic17—22no—
850Dic17—41no—
851Dic17—41no—
852Dic17—41no—
853Dic17—41no—
854Dic17—41no—
855Dic17—41no—
856Dic17—41no—
857C23×Q8—171no—
858C23×D4—171no—
859C24×C4—171no—
860C2×#126—171no—
861C2×#126—171no—
862C2×#126—171no—
863C2×#126—171no—
864C2×#126—171no—
865C2×#126—171no—
866C2×#126—171no—
867C2×#126—348no—
868C2×#126C2×D1711yescharacteristic, complemented
869C2×#124—171no—
870C2×#124—171no—
871C2×#124—171no—
872C2×#124—171no—
873C2×#124—171no—
874C2×#124—171no—
875C2×#124—171no—
876C2×#124—348no—
877C2×#124C2×D1711yescharacteristic
878C22×C4⋊C4—171no—
879C22×C4⋊C4—171no—
880C22×C4⋊C4—171no—
881C22×C4⋊C4—171no—
882C22×C4⋊C4—171no—
883C22×C4⋊C4—171no—
884C22×C4⋊C4—171no—
885C22×C22⋊C4—171no—
886C22×C22⋊C4—171no—
887C22×C22⋊C4—171no—
888C22×C22⋊C4—171no—
889C22×C22⋊C4—171no—
890C22×C22⋊C4—171no—
891C22×C22⋊C4—171no—
892C22×C22⋊C4—171no—
893C22×C22⋊C4—171no—
894C22×C22⋊C4—171no—
895C22×C22⋊C4—171no—
896C22×C42—171no—
897C22×C42—171no—
898C22×C42—171no—
899C22×C42—171no—
900#399—171no—
901#399—171no—
902#399—171no—
903#399—171no—
904#399—171no—
905#399—171no—
906#399—171no—
907#399C2×D1711yescharacteristic, complemented
908#397—171no—
909#397—171no—
910#397—171no—
911#397—171no—
912#397—171no—
913#397—171no—
914#397—171no—
915#397C2×D1711yescharacteristic, complemented
916#395—171no—
917#395—171no—
918#395—171no—
919#395—171no—
920#395—171no—
921#395—171no—
922#395—171no—
923#395C2×D1711yescharacteristic, complemented
924#394—171no—
925#394—171no—
926#394—171no—
927#394—171no—
928#394—171no—
929#394—171no—
930#394—171no—
931#394C2×D1711yescharacteristic
932#391—171no—
933#391—171no—
934#391—171no—
935#391—171no—
936#391—171no—
937#391—171no—
938#391—171no—
939#391C2×D1711yescharacteristic, complemented
940#388—171no—
941#388—171no—
942#388—171no—
943#388—171no—
944#388—171no—
945#388—171no—
946#388—171no—
947#388—171no—
948#388—171no—
949#388—171no—
950#388—171no—
951#388—171no—
952#388—171no—
953#388—171no—
954#388—171no—
955#388—171no—
956#388—171no—
957#388—171no—
958#388—171no—
959#388—171no—
960#388—171no—
961#388C2×D1711yescharacteristic, complemented
962#388C2×D1711yescharacteristic, complemented
963#388C2×D1711yescharacteristic, complemented
964#387—171no—
965#387—171no—
966#387—171no—
967#387—171no—
968#387—171no—
969#387—171no—
970#387—171no—
971#387C2×D1711yescharacteristic, complemented
972#386—171no—
973#386—171no—
974#386—171no—
975#386—171no—
976#386—171no—
977#386—171no—
978#386—171no—
979#386C2×D1711yescharacteristic
980#380—171no—
981#380—171no—
982#380—171no—
983#380—171no—
984#380—171no—
985#380—171no—
986#380—171no—
987#380C2×D1711yescharacteristic, complemented
988C4×C4⋊C4—171no—
989C4×C4⋊C4—171no—
990C4×C4⋊C4—171no—
991C4×C4⋊C4—171no—
992C4×C4⋊C4—171no—
993C4×C4⋊C4—171no—
994C4×C4⋊C4—171no—
995C4×C4⋊C4C2×D1711yescharacteristic, complemented
996C4×C22⋊C4—171no—
997C4×C22⋊C4—171no—
998C4×C22⋊C4—171no—
999C4×C22⋊C4—171no—
1000C4×C22⋊C4—171no—
1001C4×C22⋊C4—171no—
1002C4×C22⋊C4—171no—
1003C4×C22⋊C4C2×D1711yescharacteristic, complemented
1004C2×#95—171no—
1005C2×#95—171no—
1006C2×#95—171no—
1007C2×#95—171no—
1008C2×#95—171no—
1009C2×#95—171no—
1010C2×#95—171no—
1011C2×#95—171no—
1012C2×#95—171no—
1013C2×#95—171no—
1014C2×C17—42no—
1015C2×C17—81no—
1016C2×C17C2×#52911yescharacteristic
1017C2×C17C2×#53211yescharacteristic
1018C2×C17C2×#54211yescharacteristic
1019C2×C17C2×#54611yescharacteristic
1020C2×C17C2×#54711yescharacteristic
1021C2×C17C2×#55111yescharacteristic
1022C2×C17C2×#55611yescharacteristic
1023D17—42no—
1024D17—81no—
1025D17#252118yesdirect product factor
1026C25—171no—
1027C25—171no—
1028C22×Q8—171no—
1029C22×Q8—171no—
1030C22×Q8—171no—
1031C22×Q8—344no—
1032C22×Q8—344no—
1033C22×Q8—682no—
1034C22×Q8C22×D1711yescharacteristic
1035C22×D4—171no—
1036C22×D4—171no—
1037C22×D4—171no—
1038C22×D4—344no—
1039C22×D4—344no—
1040C22×D4—682no—
1041C22×D4C22×D1711yescharacteristic
1042C23×C4—171no—
1043C23×C4—171no—
1044C23×C4—171no—
1045C23×C4—171no—
1046C23×C4—171no—
1047C23×C4—171no—
1048C23×C4—171no—
1049C23×C4—171no—
1050C23×C4—171no—
1051C23×C4—171no—
1052C23×C4—171no—
1053C23×C4—171no—
1054C23×C4—171no—
1055C23×C4—171no—
1056C23×C4—171no—
1057C23×C4—171no—
1058C23×C4—344no—
1059C23×C4—344no—
1060C23×C4—682no—
1061C23×C4C22×D1711yescharacteristic
1062#126—24no—
1063#126—344no—
1064#126—344no—
1065#126—344no—
1066#126—344no—
1067#126—344no—
1068#126—344no—
1069#126—344no—
1070#124—24no—
1071#124—344no—
1072#124—344no—
1073#124—344no—
1074#124—344no—
1075#124—344no—
1076#124—344no—
1077#124—344no—
1078C2×C4⋊C4—171no—
1079C2×C4⋊C4—171no—
1080C2×C4⋊C4—171no—
1081C2×C4⋊C4—171no—
1082C2×C4⋊C4—171no—
1083C2×C4⋊C4—171no—
1084C2×C4⋊C4—171no—
1085C2×C4⋊C4—171no—
1086C2×C4⋊C4—171no—
1087C2×C4⋊C4—171no—
1088C2×C4⋊C4—171no—
1089C2×C4⋊C4—171no—
1090C2×C4⋊C4—171no—
1091C2×C4⋊C4—171no—
1092C2×C4⋊C4—171no—
1093C2×C4⋊C4—171no—
1094C2×C4⋊C4—171no—
1095C2×C4⋊C4—171no—
1096C2×C4⋊C4—171no—
1097C2×C4⋊C4—171no—
1098C2×C4⋊C4—171no—
1099C2×C4⋊C4—344no—
1100C2×C4⋊C4—344no—
1101C2×C4⋊C4—344no—
1102C2×C4⋊C4—344no—
1103C2×C4⋊C4—344no—
1104C2×C4⋊C4—344no—
1105C2×C4⋊C4—682no—
1106C2×C4⋊C4C22×D1711yescharacteristic
1107C2×C4⋊C4C22×D1711yescharacteristic
1108C2×C4⋊C4C22×D1711yescharacteristic
1109C2×C4⋊C4C22×D1711yescharacteristic
1110C2×C4⋊C4C22×D1711yescharacteristic
1111C2×C4⋊C4C22×D1711yescharacteristic
1112C2×C4⋊C4C22×D1711yescharacteristic
1113C2×C22⋊C4—171no—
1114C2×C22⋊C4—171no—
1115C2×C22⋊C4—171no—
1116C2×C22⋊C4—178no—
1117C2×C22⋊C4—171no—
1118C2×C22⋊C4—171no—
1119C2×C22⋊C4—171no—
1120C2×C22⋊C4—171no—
1121C2×C22⋊C4—171no—
1122C2×C22⋊C4—171no—
1123C2×C22⋊C4—171no—
1124C2×C22⋊C4—171no—
1125C2×C22⋊C4—171no—
1126C2×C22⋊C4—171no—
1127C2×C22⋊C4—171no—
1128C2×C22⋊C4—171no—
1129C2×C22⋊C4—171no—
1130C2×C22⋊C4—171no—
1131C2×C22⋊C4—171no—
1132C2×C22⋊C4—171no—
1133C2×C22⋊C4—171no—
1134C2×C22⋊C4—171no—
1135C2×C22⋊C4—171no—
1136C2×C22⋊C4—171no—
1137C2×C22⋊C4—171no—
1138C2×C22⋊C4—171no—
1139C2×C22⋊C4—171no—
1140C2×C22⋊C4—171no—
1141C2×C22⋊C4—171no—
1142C2×C22⋊C4—171no—
1143C2×C22⋊C4—171no—
1144C2×C22⋊C4—171no—
1145C2×C22⋊C4—171no—
1146C2×C22⋊C4—171no—
1147C2×C22⋊C4—344no—
1148C2×C22⋊C4—344no—
1149C2×C22⋊C4—344no—
1150C2×C22⋊C4—344no—
1151C2×C22⋊C4—344no—
1152C2×C22⋊C4—344no—
1153C2×C22⋊C4—344no—
1154C2×C22⋊C4—344no—
1155C2×C22⋊C4—344no—
1156C2×C22⋊C4—682no—
1157C2×C22⋊C4C22×D1711yescharacteristic
1158C2×C22⋊C4C22×D1711yescharacteristic
1159C2×C22⋊C4C22×D1711yescharacteristic
1160C2×C22⋊C4C22×D1711yescharacteristic
1161C2×C22⋊C4C22×D1711yescharacteristic
1162C2×C22⋊C4C22×D1711yescharacteristic
1163C2×C22⋊C4C22×D1711yescharacteristic
1164C2×C22⋊C4C22×D1711yescharacteristic
1165C2×C22⋊C4C22×D1711yescharacteristic
1166C2×C22⋊C4C22×D1711yescharacteristic
1167C2×C22⋊C4C22×D1711yescharacteristic
1168C2×C42—171no—
1169C2×C42—171no—
1170C2×C42—171no—
1171C2×C42—171no—
1172C2×C42—171no—
1173C2×C42—171no—
1174C2×C42—171no—
1175C2×C42—171no—
1176C2×C42—171no—
1177C2×C42—171no—
1178C2×C42—171no—
1179C2×C42—171no—
1180C2×C42—344no—
1181C2×C42—344no—
1182C2×C42—344no—
1183C2×C42—682no—
1184C2×C42C22×D1711yescharacteristic
1185C2×C42C22×D1711yescharacteristic
1186C2×C42C22×D1711yescharacteristic
1187C2×C42C22×D1711yescharacteristic
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95—171no—
1195#95—171no—
1196#95—171no—
1197#95—171no—
1198#95—171no—
1199#95—171no—
1200#95—171no—
1201#95—171no—
1202#95—171no—
1203#95—171no—
1204#95—171no—
1205#95—171no—
1206#95—171no—
1207#95—171no—
1208#95—171no—
1209#95—171no—
1210#95—171no—
1211#95—171no—
1212#95—171no—
1213#95—171no—
1214#95—171no—
1215#95—171no—
1216#95—171no—
1217#95—171no—
1218#95C22×D1711yescharacteristic
1219#95C22×D1711yescharacteristic
1220#95C22×D1711yescharacteristic
1221#95C22×D1711yescharacteristic
1222#95C22×D1711yescharacteristic
1223#95C22×D1711yescharacteristic
1224#95C22×D1711yescharacteristic
1225#95C22×D1711yescharacteristic
1226#95C22×D1711yescharacteristic
1227#95C22×D1711yescharacteristic
1228C17C2×#252111yescharacteristic, complemented, Sylow
1229C24—171no—
1230C24—174no—
1231C24—171no—
1232C24—171no—
1233C24—342no—
1234C24—342no—
1235C24—342no—
1236C24—342no—
1237C24—342no—
1238C24—342no—
1239C24—342no—
1240C24—342no—
1241C24—342no—
1242C24—342no—
1243C24—342no—
1244C24—342no—
1245C24—342no—
1246C24C23×D1711yescharacteristic
1247C24C23×D1711yescharacteristic
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—41no—
1251C2×Q8—342no—
1252C2×Q8—342no—
1253C2×Q8—342no—
1254C2×Q8—342no—
1255C2×Q8—342no—
1256C2×Q8—342no—
1257C2×Q8—681no—
1258C2×Q8—681no—
1259C2×Q8—681no—
1260C2×Q8—6816no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—41no—
1264C2×D4—342no—
1265C2×D4—342no—
1266C2×D4—342no—
1267C2×D4—342no—
1268C2×D4—342no—
1269C2×D4—342no—
1270C2×D4—681no—
1271C2×D4—6816no—
1272C2×D4—681no—
1273C2×D4—681no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—41no—
1277C22×C4—171no—
1278C22×C4—171no—
1279C22×C4—171no—
1280C22×C4—171no—
1281C22×C4—171no—
1282C22×C4—171no—
1283C22×C4—174no—
1284C22×C4—174no—
1285C22×C4—174no—
1286C22×C4—174no—
1287C22×C4—174no—
1288C22×C4—174no—
1289C22×C4—171no—
1290C22×C4—171no—
1291C22×C4—171no—
1292C22×C4—171no—
1293C22×C4—171no—
1294C22×C4—171no—
1295C22×C4—171no—
1296C22×C4—342no—
1297C22×C4—342no—
1298C22×C4—342no—
1299C22×C4—342no—
1300C22×C4—342no—
1301C22×C4—342no—
1302C22×C4—342no—
1303C22×C4—342no—
1304C22×C4—342no—
1305C22×C4—342no—
1306C22×C4—342no—
1307C22×C4—342no—
1308C22×C4—342no—
1309C22×C4—342no—
1310C22×C4—342no—
1311C22×C4—342no—
1312C22×C4—342no—
1313C22×C4—342no—
1314C22×C4—342no—
1315C22×C4—342no—
1316C22×C4—342no—
1317C22×C4—342no—
1318C22×C4—342no—
1319C22×C4—342no—
1320C22×C4—342no—
1321C22×C4—342no—
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—681no—
1336C22×C4—681no—
1337C22×C4—6816no—
1338C22×C4—681no—
1339C22×C4C23×D1711yescharacteristic
1340C22×C4C23×D1711yescharacteristic
1341C22×C4C23×D1711yescharacteristic
1342C22×C4C23×D1711yescharacteristic
1343C22×C4C23×D1711yescharacteristic
1344C22×C4C23×D1711yescharacteristic
1345C22×C4C23×D1711yescharacteristic
1346C22×C4C23×D1711yescharacteristic
1347C22×C4C23×D1711yescharacteristic
1348C22×C4C23×D1711yescharacteristic
1349C22×C4C23×D1711yescharacteristic
1350C22×C4C23×D1711yescharacteristic
1351C22×C4C23×D1711yescharacteristic
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—41no—
1359C4⋊C4—342no—
1360C4⋊C4—342no—
1361C4⋊C4—342no—
1362C4⋊C4—342no—
1363C4⋊C4—342no—
1364C4⋊C4—342no—
1365C4⋊C4—342no—
1366C4⋊C4—342no—
1367C4⋊C4—342no—
1368C4⋊C4—342no—
1369C4⋊C4—342no—
1370C4⋊C4—342no—
1371C4⋊C4—342no—
1372C4⋊C4—342no—
1373C4⋊C4—342no—
1374C4⋊C4—342no—
1375C4⋊C4—342no—
1376C4⋊C4—342no—
1377C4⋊C4—681no—
1378C4⋊C4—681no—
1379C4⋊C4—681no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—41no—
1390C22⋊C4—174no—
1391C22⋊C4—174no—
1392C22⋊C4—174no—
1393C22⋊C4—342no—
1394C22⋊C4—342no—
1395C22⋊C4—342no—
1396C22⋊C4—342no—
1397C22⋊C4—342no—
1398C22⋊C4—342no—
1399C22⋊C4—342no—
1400C22⋊C4—342no—
1401C22⋊C4—342no—
1402C22⋊C4—342no—
1403C22⋊C4—342no—
1404C22⋊C4—342no—
1405C22⋊C4—342no—
1406C22⋊C4—342no—
1407C22⋊C4—342no—
1408C22⋊C4—342no—
1409C22⋊C4—342no—
1410C22⋊C4—342no—
1411C22⋊C4—342no—
1412C22⋊C4—342no—
1413C22⋊C4—342no—
1414C22⋊C4—342no—
1415C22⋊C4—342no—
1416C22⋊C4—342no—
1417C22⋊C4—342no—
1418C22⋊C4—342no—
1419C22⋊C4—342no—
1420C22⋊C4—681no—
1421C22⋊C4—681no—
1422C22⋊C4—681no—
1423C22⋊C4D4×D1714yes—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—41no—
1428C42—342no—
1429C42—342no—
1430C42—342no—
1431C42—342no—
1432C42—342no—
1433C42—342no—
1434C42—342no—
1435C42—342no—
1436C42—342no—
1437C42—681no—
1438C42—681no—
1439C42—681no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—172no—
1454C23—172no—
1455C23—172no—
1456C23—172no—
1457C23—172no—
1458C23—172no—
1459C23—172no—
1460C23—172no—
1461C23—348no—
1462C23—348no—
1463C23—348no—
1464C23—341no—
1465C23—341no—
1466C23—341no—
1467C23—341no—
1468C23—341no—
1469C23—341no—
1470C23—341no—
1471C23—341no—
1472C23—341no—
1473C23—341no—
1474C23—341no—
1475C23—341no—
1476C23—341no—
1477C23—684no—
1478C23—684no—
1479C23—684no—
1480C23—684no—
1481C23—684no—
1482C23—684no—
1483C23—684no—
1484C23—684no—
1485C23—684no—
1486C23—684no—
1487C23—684no—
1488C23C2×D4×D1712yes—
1489C23C24×D1711yescharacteristic
1490Q8—44no—
1491Q8—684no—
1492Q8—684no—
1493Q8—684no—
1494D4—44no—
1495D4—684no—
1496D4—684no—
1497D4—684no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—44no—
1532C2×C4—172no—
1533C2×C4—172no—
1534C2×C4—172no—
1535C2×C4—172no—
1536C2×C4—172no—
1537C2×C4—172no—
1538C2×C4—348no—
1539C2×C4—348no—
1540C2×C4—348no—
1541C2×C4—348no—
1542C2×C4—348no—
1543C2×C4—348no—
1544C2×C4—341no—
1545C2×C4—341no—
1546C2×C4—341no—
1547C2×C4—341no—
1548C2×C4—341no—
1549C2×C4—341no—
1550C2×C4—341no—
1551C2×C4—341no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—341no—
1562C2×C4—341no—
1563C2×C4—341no—
1564C2×C4—341no—
1565C2×C4—341no—
1566C2×C4—341no—
1567C2×C4—341no—
1568C2×C4—341no—
1569C2×C4—341no—
1570C2×C4—341no—
1571C2×C4—341no—
1572C2×C4—341no—
1573C2×C4—341no—
1574C2×C4—341no—
1575C2×C4—341no—
1576C2×C4—341no—
1577C2×C4—684no—
1578C2×C4—684no—
1579C2×C4—684no—
1580C2×C4—684no—
1581C2×C4—684no—
1582C2×C4—684no—
1583C2×C4—684no—
1584C2×C4—684no—
1585C2×C4—684no—
1586C2×C4—684no—
1587C2×C4C2×D4×D1712yes—
1588C2×C4C2×D4×D1712yes—
1589C2×C4#41×D1712yes—
1590C2×C4#41×D1712yes—
1591C2×C4#41×D1712yes—
1592C2×C4#41×D1712yes—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—174no—
1608C22—174no—
1609C22—174no—
1610C22—174no—
1611C22—174no—
1612C22—174no—
1613C22—174no—
1614C22—342no—
1615C22—342no—
1616C22—342no—
1617C22—6816no—
1618C22—681no—
1619C22—681no—
1620C22—681no—
1621C22—681no—
1622C22—681no—
1623C22—681no—
1624C22—681no—
1625C22—681no—
1626C22—681no—
1627C22—681no—
1628C22—681no—
1629C22—1368no—
1630C22C22×D4×D1711yescharacteristic
1631C22C2×#41×D1711yescharacteristic
1632C22C2×#41×D1711yescharacteristic
1633C22C2×#41×D1711yescharacteristic
1634C22C2×#41×D1711yescharacteristic
1635C22H(5,𝔽2)×D1711yescharacteristic
1636C222−1+4×D1711yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—342no—
1651C4—342no—
1652C4—342no—
1653C4—342no—
1654C4—342no—
1655C4—342no—
1656C4—681no—
1657C4—681no—
1658C4—681no—
1659C4—681no—
1660C4—681no—
1661C4—681no—
1662C4—681no—
1663C2—42no—
1664C2—81no—
1665C2—178no—
1666C2—682no—
1667C2—1361no—
1668C2D17×#52911yescharacteristic
1669C2D17×#53211yescharacteristic
1670C2D17×#54211yescharacteristic
1671C2D17×#54611yescharacteristic
1672C2D17×#54711yescharacteristic
1673C2D17×#55111yescharacteristic
1674C2D17×#55611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2521C2
prime radicalC22×D4×D17C22
hypercenter#2521D17
hypocenterC17C2×#2521
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2521

Complements

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

NH ≅ G/Ntype
1. C2×#126×D17C2semidirect
3. #14533494C2semidirect
4. #14533493C2semidirect
5. #14533492C2semidirect
6. #14533491C2semidirect
7. #14533490C2semidirect
8. #14533489C2semidirect
9. #14533488C2semidirect
10. #14533487C2semidirect
11. #14533486C2semidirect
12. #14533485C2semidirect
13. #14533484C2semidirect
14. #14533483C2semidirect
15. #14533482C2semidirect
16. #14533481C2semidirect
17. #14533480C2semidirect
18. D17×#399C2semidirect
19. D17×#397C2semidirect
20. D17×#395C2semidirect
22. D17×#391C2semidirect
23. D17×#388C2semidirect
24. D17×#388C2semidirect
25. D17×#388C2semidirect
26. D17×#387C2semidirect
28. D17×#380C2semidirect
29. C4×C4⋊C4×D17C2semidirect
30. C4×C22⋊C4×D17C2semidirect
31. C17×#2521C2semidirect
35. C2×#10587584C22semidirect
36. C2×#10587584C22semidirect
37. C2×#10587584C22semidirect
38. C2×#10587562C22semidirect
39. C2×#10587565C22semidirect
40. C2×#10587565C22semidirect
41. C2×#10587565C22semidirect
73. #11762746C22semidirect
74. #11762745C22semidirect
75. #11762745C22semidirect
76. #11762745C22semidirect
77. #11762744C22semidirect
78. #11762744C22semidirect
79. #11762744C22semidirect
80. #11762738C22semidirect
81. #11762738C22semidirect
82. #11762737C22semidirect
83. #11762737C22semidirect
84. #11762736C22semidirect
85. #11762735C22semidirect
86. #11762734C22semidirect
87. #11762730C22semidirect
88. #11762730C22semidirect
89. #11762730C22semidirect
90. #11762729C22semidirect
91. #11762729C22semidirect
92. #11762729C22semidirect
93. #11762728C22semidirect
101. #11762716C22semidirect
102. #11762715C22semidirect
103. #11762714C22semidirect
104. #11762713C22semidirect
105. #11762713C22semidirect
106. #11762713C22semidirect
107. #11762713C22semidirect
108. #11762703C22semidirect
109. #11762703C22semidirect
110. #11762703C22semidirect
111. #11762702C22semidirect
112. #11762702C22semidirect
113. #11762702C22semidirect
114. #11762701C22semidirect
115. #11762701C22semidirect
116. #11762701C22semidirect
117. #11762700C22semidirect
118. #11762700C22semidirect
119. #11762700C22semidirect
120. #11762699C22semidirect
121. #11762699C22semidirect
122. #11762699C22semidirect
123. #11762698C22semidirect
124. #11762698C22semidirect
125. #11762698C22semidirect
126. #11762697C22semidirect
127. #11762697C22semidirect
128. #11762697C22semidirect
129. #11762696C22semidirect
130. #11762695C22semidirect
131. #11762694C22semidirect
132. #11762693C22semidirect
133. #11762692C22semidirect
134. #11762691C22semidirect
135. #11762690C22semidirect
143. #11762669C22semidirect
144. #11762668C22semidirect
145. #11762668C22semidirect
146. #11762667C22semidirect
147. #11762667C22semidirect
148. #11762666C22semidirect
149. #11762666C22semidirect
150. C4⋊C4×Dic17C22semidirect
151. C4⋊C4×Dic17C22semidirect
152. C4×#63225C22semidirect
153. C4×#63225C22semidirect
154. C4×C4⋊Dic17C22semidirect
155. #11762660C22semidirect
156. #11762660C22semidirect
157. C22⋊C4×Dic17C22semidirect
158. C22⋊C4×Dic17C22semidirect
159. C4×#63227C22semidirect
160. C4×#63227C22semidirect
161. C4×C22⋊Dic17C22semidirect
162. #11762656C22semidirect
163. #11762656C22semidirect
174. C2×C17×#126C22semidirect
176. C17×#399C22semidirect
177. C17×#397C22semidirect
178. C17×#395C22semidirect
180. C17×#391C22semidirect
181. C17×#388C22semidirect
182. C17×#388C22semidirect
183. C17×#388C22semidirect
184. C17×#387C22semidirect
186. C17×#380C22semidirect
187. C4×C4⋊C4×C17C22semidirect
188. C4×C22⋊C4×C17C22semidirect
773. #2521D17direct (N × H)
868. C2×#126C2×D17semidirect
907. #399C2×D17semidirect
915. #397C2×D17semidirect
923. #395C2×D17semidirect
939. #391C2×D17semidirect
961. #388C2×D17semidirect
962. #388C2×D17semidirect
963. #388C2×D17semidirect
971. #387C2×D17semidirect
987. #380C2×D17semidirect
995. C4×C4⋊C4C2×D17semidirect
1003. C4×C22⋊C4C2×D17semidirect
1025. D17#2521direct (N × H)
1228. C17C2×#2521semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D172
C2×#124×D172
#145334942
#145334932
#145334922
#145334912
#145334902
#145334892
#145334882
#145334872
#145334862
#145334852
#145334842
#145334832
#145334822
#145334812
#145334802
D17×#3992
D17×#3972
D17×#3952
D17×#3942
D17×#3912
D17×#3882
D17×#3872
D17×#3862
D17×#3802
C4×C4⋊C4×D172
C4×C22⋊C4×D172
C17×#25212
C2×#252117