Finite Group Databasebeta

← D17×#2479 #17202874

Subgroups — D17×#2479 #17202874

Order 4352.

2898 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#126×D17C211yesmaximal, characteristic, complemented
2C2×#117×D17C211yesmaximal, characteristic, complemented
3#14533022C211yesmaximal, characteristic, complemented
4#14533021C211yesmaximal, characteristic, complemented
5#14533020C211yesmaximal, characteristic, complemented
6#14533019C211yesmaximal, characteristic, complemented
7#14533018C211yesmaximal, characteristic, complemented
8#14533017C211yesmaximal, characteristic, complemented
9#14533016C211yesmaximal, characteristic, complemented
10#14533015C211yesmaximal, characteristic, complemented
11#14533014C211yesmaximal, characteristic, complemented
12#14533013C211yesmaximal, characteristic, complemented
13#14533012C211yesmaximal, characteristic, complemented
14#14533011C211yesmaximal, characteristic, complemented
15#14533010C211yesmaximal, characteristic, complemented
16#14533009C211yesmaximal, characteristic, complemented
17#14533008C211yesmaximal, characteristic, complemented
18D17×#399C211yesmaximal, characteristic, complemented
19D17×#399C211yesmaximal, characteristic, complemented
20D17×#398C211yesmaximal, characteristic, complemented
21D17×#394C211yesmaximal, characteristic
22D17×#390C211yesmaximal, characteristic
23D17×#389C211yesmaximal, characteristic, complemented
24D17×#388C211yesmaximal, characteristic, complemented
25D17×#388C211yesmaximal, characteristic, complemented
26D17×#388C211yesmaximal, characteristic, complemented
27D17×#387C211yesmaximal, characteristic, complemented
28D17×#386C211yesmaximal, characteristic
29D17×#385C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D17C211yesmaximal, characteristic, complemented
31C17×#2479C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C2×#10587584C2211yescharacteristic, complemented
35C2×#10587584C2211yescharacteristic, complemented
36C2×#10587584C2211yescharacteristic, complemented
37C2×#10587562C2211yescharacteristic, complemented
38C2×#10587565C2211yescharacteristic, complemented
39C2×#10587565C2211yescharacteristic, complemented
40C2×#10587565C2211yescharacteristic, complemented
41#126×D17—28no—
42C2×#10587612C2211yescharacteristic, complemented
43C2×#10587578C2211yescharacteristic, complemented
44C2×#10587578C2211yescharacteristic, complemented
45C2×#10587558C2211yescharacteristic, complemented
46C2×#10587558C2211yescharacteristic, complemented
47C2×#10587563C2211yescharacteristic, complemented
48C2×#10587563C2211yescharacteristic, complemented
49#117×D17—28no—
50C2×C4⋊C4×D17C2211yescharacteristic
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×C4⋊C4×D17C2211yescharacteristic
59C2×C4⋊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×C22⋊C4×D17C2211yescharacteristic
70C2×C22⋊C4×D17C2211yescharacteristic
71C2×C42×D17C2211yescharacteristic
72C2×C42×D17C2211yescharacteristic
73C2×C42×D17C2211yescharacteristic
74C2×C42×D17C2211yescharacteristic
75#11762746C2211yescharacteristic, complemented
76#11762746C2211yescharacteristic, complemented
77#11762745C2211yescharacteristic, complemented
78#11762745C2211yescharacteristic, complemented
79#11762745C2211yescharacteristic, complemented
80#11762745C2211yescharacteristic, complemented
81#11762745C2211yescharacteristic, complemented
82#11762745C2211yescharacteristic, complemented
83#11762744C2211yescharacteristic, complemented
84#11762744C2211yescharacteristic, complemented
85#11762744C2211yescharacteristic, complemented
86#11762744C2211yescharacteristic, complemented
87#11762744C2211yescharacteristic, complemented
88#11762744C2211yescharacteristic, complemented
89#11762743C2211yescharacteristic, complemented
90#11762743C2211yescharacteristic, complemented
91#11762742C2211yescharacteristic, complemented
92#11762742C2211yescharacteristic, complemented
93#11762741C2211yescharacteristic, complemented
94#11762740C2211yescharacteristic, complemented
95#11762739C2211yescharacteristic, complemented
96#11762727C2211yescharacteristic
97#11762726C2211yescharacteristic
98#11762725C2211yescharacteristic
99#11762725C2211yescharacteristic
100#11762724C2211yescharacteristic
101#11762724C2211yescharacteristic
102#11762723C2211yescharacteristic
103#11762712C2211yescharacteristic
104#11762711C2211yescharacteristic
105#11762710C2211yescharacteristic
106#11762709C2211yescharacteristic
107#11762709C2211yescharacteristic
108#11762709C2211yescharacteristic
109#11762709C2211yescharacteristic
110#11762708C2211yescharacteristic, complemented
111#11762707C2211yescharacteristic, complemented
112#11762706C2211yescharacteristic, complemented
113#11762706C2211yescharacteristic, complemented
114#11762705C2211yescharacteristic, complemented
115#11762704C2211yescharacteristic, complemented
116#11762704C2211yescharacteristic, complemented
117#11762703C2211yescharacteristic, complemented
118#11762703C2211yescharacteristic, complemented
119#11762703C2211yescharacteristic, complemented
120#11762702C2211yescharacteristic, complemented
121#11762702C2211yescharacteristic, complemented
122#11762702C2211yescharacteristic, complemented
123#11762701C2211yescharacteristic, complemented
124#11762701C2211yescharacteristic, complemented
125#11762701C2211yescharacteristic, complemented
126#11762700C2211yescharacteristic, complemented
127#11762700C2211yescharacteristic, complemented
128#11762700C2211yescharacteristic, complemented
129#11762699C2211yescharacteristic, complemented
130#11762699C2211yescharacteristic, complemented
131#11762699C2211yescharacteristic, complemented
132#11762698C2211yescharacteristic, complemented
133#11762698C2211yescharacteristic, complemented
134#11762698C2211yescharacteristic, complemented
135#11762697C2211yescharacteristic, complemented
136#11762697C2211yescharacteristic, complemented
137#11762697C2211yescharacteristic, complemented
138#11762696C2211yescharacteristic, complemented
139#11762695C2211yescharacteristic, complemented
140#11762694C2211yescharacteristic, complemented
141#11762693C2211yescharacteristic, complemented
142#11762692C2211yescharacteristic, complemented
143#11762691C2211yescharacteristic, complemented
144#11762690C2211yescharacteristic, complemented
145#11762689C2211yescharacteristic
146#11762688C2211yescharacteristic
147#11762687C2211yescharacteristic
148#11762687C2211yescharacteristic
149#11762686C2211yescharacteristic
150#11762685C2211yescharacteristic
151#11762685C2211yescharacteristic
152#11762684C2211yescharacteristic, complemented
153#11762683C2211yescharacteristic, complemented
154#11762683C2211yescharacteristic, complemented
155#11762682C2211yescharacteristic, complemented
156#11762681C2211yescharacteristic, complemented
157#11762680C2211yescharacteristic, complemented
158#11762680C2211yescharacteristic, complemented
159C4⋊C4×Dic17C2211yescharacteristic, complemented
160C4⋊C4×Dic17C2211yescharacteristic, complemented
161C4×#63225C2211yescharacteristic, complemented
162C4×#63225C2211yescharacteristic, complemented
163C4×C4⋊Dic17C2211yescharacteristic, complemented
164#11762660C2211yescharacteristic, complemented
165#11762660C2211yescharacteristic, complemented
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×#117C2211yescharacteristic, complemented
176C17×#399C2211yescharacteristic, complemented
177C17×#399C2211yescharacteristic, complemented
178C17×#398C2211yescharacteristic, complemented
179C17×#394C2211yescharacteristic
180C17×#390C2211yescharacteristic
181C17×#389C2211yescharacteristic, complemented
182C17×#388C2211yescharacteristic, complemented
183C17×#388C2211yescharacteristic, complemented
184C17×#388C2211yescharacteristic, complemented
185C17×#387C2211yescharacteristic, complemented
186C17×#386C2211yescharacteristic
187C17×#385C2211yescharacteristic, complemented
188C4×C4⋊C4×C17C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C22×C22⋊D17C2311yescharacteristic
194C22×C22⋊D17C2311yescharacteristic
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×D17C2311yescharacteristic
204C22×C4×D17C2311yescharacteristic
205C22×C4×D17C2311yescharacteristic
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
218C17×#126—24no—
219C17×#117—24no—
220C2×C4⋊C4×C17C2311yescharacteristic
221C2×C4⋊C4×C17C2311yescharacteristic
222C2×C4⋊C4×C17C2311yescharacteristic
223C2×C4⋊C4×C17C2311yescharacteristic
224C2×C4⋊C4×C17C2311yescharacteristic
225C2×C4⋊C4×C17C2311yescharacteristic
226C2×C4⋊C4×C17C2311yescharacteristic
227C2×C4⋊C4×C17C2311yescharacteristic
228C2×C4⋊C4×C17C2311yescharacteristic
229C2×C4⋊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×C22⋊C4×C17C2311yescharacteristic
239C2×C22⋊C4×C17C2311yescharacteristic
240C2×C22⋊C4×C17C2311yescharacteristic
241C2×C42×C17C2311yescharacteristic
242C2×C42×C17C2311yescharacteristic
243C2×C42×C17C2311yescharacteristic
244C2×C42×C17C2311yescharacteristic
245C2×C22⋊Dic17C2311yescharacteristic
246C2×C22⋊Dic17C2311yescharacteristic
247C2×C22⋊Dic17C2311yescharacteristic
248C2×C22⋊Dic17C2311yescharacteristic
249C2×C22⋊Dic17C2311yescharacteristic
250C2×C22⋊Dic17C2311yescharacteristic
251C2×C22⋊Dic17C2311yescharacteristic
252C2×C22⋊Dic17C2311yescharacteristic
253C2×C22⋊Dic17C2311yescharacteristic
254C2×C22⋊Dic17C2311yescharacteristic
255C2×C22⋊Dic17C2311yescharacteristic
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×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278#10587612—24no—
279C2×C4⋊Dic17C2311yescharacteristic
280C2×C4⋊Dic17C2311yescharacteristic
281C2×C4⋊Dic17C2311yescharacteristic
282C2×C4⋊Dic17C2311yescharacteristic
283C2×C4⋊Dic17C2311yescharacteristic
284C2×C4⋊Dic17C2311yescharacteristic
285C2×C4⋊Dic17C2311yescharacteristic
286C2×C4⋊Dic17C2311yescharacteristic
287C2×C4⋊Dic17C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×#63225C2311yescharacteristic
290C2×#63225C2311yescharacteristic
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×#63225C2311yescharacteristic
306C2×#63225C2311yescharacteristic
307C2×#63225C2311yescharacteristic
308C2×#63225C2311yescharacteristic
309C2×C4×Dic17C2311yescharacteristic
310C2×C4×Dic17C2311yescharacteristic
311C2×C4×Dic17C2311yescharacteristic
312C2×C4×Dic17C2311yescharacteristic
313C2×C4×Dic17C2311yescharacteristic
314C2×C4×Dic17C2311yescharacteristic
315C2×C4×Dic17C2311yescharacteristic
316C2×C4×Dic17C2311yescharacteristic
317C2×C4×Dic17C2311yescharacteristic
318C2×C4×Dic17C2311yescharacteristic
319C2×C4×Dic17C2311yescharacteristic
320C2×C4×Dic17C2311yescharacteristic
321#10587584—24no—
322#10587584—24no—
323#10587584—24no—
324#10587578—24no—
325#10587578—24no—
326C4⋊C4×D17—24no—
327C4⋊C4×D17—24no—
328C4⋊C4×D17—24no—
329C4⋊C4×D17—24no—
330C4⋊C4×D17—24no—
331C4⋊C4×D17—24no—
332C4⋊C4×D17—42no—
333C4⋊C4×D17—42no—
334C4⋊C4×D17—42no—
335C4⋊C4×D17D418yescomplemented
336C22⋊C4×D17—24no—
337C22⋊C4×D17—24no—
338C22⋊C4×D17—24no—
339C22⋊C4×D17—24no—
340C22⋊C4×D17—24no—
341C22⋊C4×D17—24no—
342C22⋊C4×D17—24no—
343C22⋊C4×D17—24no—
344C22⋊C4×D17—24no—
345C22⋊C4×D17—42no—
346C22⋊C4×D17—42no—
347#10587565—24no—
348#10587565—24no—
349#10587565—24no—
350#10587563—24no—
351#10587563—24no—
352#10587562—24no—
353#10587558—24no—
354#10587558—24no—
355C42×D17—24no—
356C42×D17—24no—
357C42×D17—24no—
358C42×D17—24no—
359C17×#95C2311yescharacteristic
360C17×#95C2311yescharacteristic
361C17×#95C2311yescharacteristic
362C17×#95C2311yescharacteristic
363C17×#95C2311yescharacteristic
364C17×#95C2311yescharacteristic
365C17×#95C2311yescharacteristic
366C17×#95C2311yescharacteristic
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×D17#4114yes—
407C23×D17C2411yescharacteristic
408C23×D17C2411yescharacteristic
409C23×D17C2411yescharacteristic
410C2×D4×C17—22no—
411C2×D4×C17—22no—
412C2×D4×C17—41no—
413C22×C4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—22no—
416C22×C4×C17C2411yescharacteristic
417C22×C4×C17C2411yescharacteristic
418C22×C4×C17C2411yescharacteristic
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
429C2×C22⋊D17—22no—
430C2×C22⋊D17—22no—
431C2×C22⋊D17—22no—
432C2×C22⋊D17—22no—
433C2×C22⋊D17—41no—
434C2×C22⋊D17—41no—
435C22×Dic17—22no—
436C22×Dic17—22no—
437C22×Dic17—22no—
438C22×Dic17C2411yescharacteristic
439C22×Dic17C2411yescharacteristic
440C22×Dic17C2411yescharacteristic
441C22×Dic17C2411yescharacteristic
442C22×Dic17C2411yescharacteristic
443C22×Dic17C2411yescharacteristic
444C22×Dic17C2411yescharacteristic
445C22×Dic17C2411yescharacteristic
446C22×Dic17C2411yescharacteristic
447C22×Dic17C2411yescharacteristic
448C22×Dic17C2411yescharacteristic
449C22×Dic17C2411yescharacteristic
450C22×Dic17C2411yescharacteristic
451D4×D17—416no—
452C2×D68—22no—
453C2×D68—22no—
454C2×D68—41no—
455C2×C4×D17—232no—
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—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×D17C2×D414yes—
496C2×C4×D17C2×D414yes—
497C2×C4×D17C2×D414yes—
498C2×C4×D17#4114yes—
499C2×C4×D17#4114yes—
500C2×C4×D17#4114yes—
501C4⋊C4×C17—22no—
502C4⋊C4×C17—22no—
503C4⋊C4×C17—22no—
504C4⋊C4×C17—22no—
505C4⋊C4×C17—22no—
506C4⋊C4×C17—22no—
507C4⋊C4×C17—41no—
508C4⋊C4×C17—41no—
509C4⋊C4×C17—41no—
510C4⋊C4×C17C2×D414yescomplemented
511C22⋊C4×C17—22no—
512C22⋊C4×C17—22no—
513C22⋊C4×C17—22no—
514C22⋊C4×C17—22no—
515C22⋊C4×C17—22no—
516C22⋊C4×C17—22no—
517C22⋊C4×C17—22no—
518C22⋊C4×C17—22no—
519C22⋊C4×C17—22no—
520C22⋊C4×C17—41no—
521C22⋊C4×C17—41no—
522C42×C17—22no—
523C42×C17—22no—
524C42×C17—22no—
525C42×C17—22no—
526C22⋊Dic17—22no—
527C22⋊Dic17—22no—
528C22⋊Dic17—22no—
529C22⋊Dic17—22no—
530C22⋊Dic17—22no—
531C22⋊Dic17—22no—
532C22⋊Dic17—22no—
533C22⋊Dic17—22no—
534C22⋊Dic17—22no—
535C22⋊Dic17—41no—
536C22⋊Dic17—41no—
537#63227—22no—
538#63227—22no—
539#63227—22no—
540#63227—22no—
541#63227—22no—
542#63227—22no—
543#63227—22no—
544#63227—22no—
545#63227—22no—
546#63227—22no—
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—41no—
556#63227—41no—
557#63227—41no—
558#63227—41no—
559C4⋊Dic17—22no—
560C4⋊Dic17—22no—
561C4⋊Dic17—22no—
562C4⋊Dic17—22no—
563C4⋊Dic17—22no—
564C4⋊Dic17—22no—
565C4⋊Dic17—41no—
566C4⋊Dic17—41no—
567C4⋊Dic17—41no—
568C4⋊Dic17C2×D414yescomplemented
569#63225—22no—
570#63225—22no—
571#63225—22no—
572#63225—22no—
573#63225—22no—
574#63225—22no—
575#63225—22no—
576#63225—22no—
577#63225—22no—
578#63225—22no—
579#63225—22no—
580#63225—22no—
581#63225—41no—
582#63225—41no—
583#63225—41no—
584#63225—41no—
585#63225—41no—
586#63225—41no—
587#63225C2×D414yescomplemented
588#63225C2×D414yescomplemented
589C4×Dic17—22no—
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—22no—
600C4×Dic17—22no—
601C2×#2479—171nomaximal, Sylow
602C23×C17—21no—
603C23×C17—21no—
604C23×C17—21no—
605C23×C17—21no—
606C23×C17—21no—
607C23×C17—21no—
608C23×C17—21no—
609C23×C17—21no—
610C23×C17—21no—
611C23×C17—21no—
612C23×C17—21no—
613C23×C17—21no—
614C23×C17—21no—
615C23×C17C2×#4112yes—
616C23×C17C2511yescharacteristic
617C22×D17—21no—
618C22×D17—21no—
619C22×D17—21no—
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—28no—
624C22×D17—28no—
625C22×D17—28no—
626C22×D17—21no—
627C22×D17—21no—
628C22×D17—21no—
629C22×D17—21no—
630C22×D17—21no—
631C22×D17—21no—
632C22×D17—21no—
633C22×D17—44no—
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×D17C22×D412yes—
645C22×D17C2×#4112yes—
646C22×D17C2×#4112yes—
647C22×D17C2×#4112yes—
648C22×D17C2×#4112yes—
649C22×D17C2×#4112yes—
650C22×D17H(5,𝔽2)12yes—
651C22×D172−1+412yes—
652D4×C17—44no—
653C2×C4×C17—28no—
654C2×C4×C17—21no—
655C2×C4×C17—21no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17C22×D412yes—
688C2×C4×C17C22×D412yes—
689C2×C4×C17C22×D412yes—
690C2×C4×C17C2×#4112yes—
691C2×C4×C17C2×#4112yes—
692C2×C4×C17C2×#4112yes—
693C22⋊D17—44no—
694C22⋊D17—44no—
695C2×Dic17—28no—
696C2×Dic17—21no—
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×Dic17C22×D412yes—
730C2×Dic17C22×D412yes—
731C2×Dic17C22×D412yes—
732C2×Dic17C2×#4112yes—
733C2×Dic17C2×#4112yes—
734C2×Dic17C2×#4112yes—
735D68—44no—
736C4×D17—28no—
737C4×D17—28no—
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—
751C22×#126—171no—
752C22×#117—171no—
753#2479—171no—
754#2479—171no—
755#2479—171no—
756#2479—171no—
757#2479—171no—
758#2479—171no—
759#2479—171no—
760#2479—171no—
761#2479—171no—
762#2479—171no—
763#2479—171no—
764#2479—171no—
765#2479—171no—
766#2479—171no—
767#2479—171no—
768#2479D1711yescharacteristic, direct product factor
769C2×#399—171no—
770C2×#399—171no—
771C2×#398—171no—
772C2×#394—171no—
773C2×#390—171no—
774C2×#389—171no—
775C2×#388—171no—
776C2×#388—171no—
777C2×#388—171no—
778C2×#387—171no—
779C2×#386—171no—
780C2×#385—171no—
781C2×C4×C4⋊C4—171no—
782C22×C17—22no—
783C22×C17—22no—
784C22×C17—22no—
785C22×C17—41no—
786C22×C17—41no—
787C22×C17—41no—
788C22×C17—41no—
789C22×C17—41no—
790C22×C17—41no—
791C22×C17—41no—
792C22×C17—41no—
793C22×C17—41no—
794C22×C17—41no—
795C22×C17—41no—
796C22×C17C23×D411yescharacteristic
797C22×C17C22×#4111yescharacteristic
798C22×C17C22×#4111yescharacteristic
799C22×C17C22×#4111yescharacteristic
800C22×C17C22×#4111yescharacteristic
801C22×C17C2×H(5,𝔽2)11yescharacteristic
802C22×C17C2×2−1+411yescharacteristic
803C2×D17—22no—
804C2×D17—22no—
805C2×D17—22no—
806C2×D17—41no—
807C2×D17—41no—
808C2×D17—41no—
809C2×D17—41no—
810C2×D17—416no—
811C2×D17—41no—
812C2×D17—41no—
813C2×D17—41no—
814C2×D17—41no—
815C2×D17—41no—
816C2×D17—41no—
817C2×D17—41no—
818C2×D17—88no—
819C2×D17#52514yes—
820C2×D17#52914yes—
821C2×D17#54214yes—
822C2×D17#54714yes—
823C2×D17#55014yes—
824C2×D17#55114yes—
825C2×D17#55214yes—
826C4×C17—22no—
827C4×C17—22no—
828C4×C17—22no—
829C4×C17—22no—
830C4×C17—22no—
831C4×C17—22no—
832C4×C17—41no—
833C4×C17—41no—
834C4×C17—41no—
835C4×C17—41no—
836C4×C17—41no—
837C4×C17—41no—
838C4×C17—41no—
839Dic17—22no—
840Dic17—22no—
841Dic17—22no—
842Dic17—22no—
843Dic17—22no—
844Dic17—22no—
845Dic17—41no—
846Dic17—41no—
847Dic17—41no—
848Dic17—41no—
849Dic17—41no—
850Dic17—41no—
851Dic17—41no—
852C23×D4—171no—
853C24×C4—171no—
854C2×#126—171no—
855C2×#126—171no—
856C2×#126—171no—
857C2×#126—171no—
858C2×#126—171no—
859C2×#126—171no—
860C2×#126—171no—
861C2×#126—348no—
862C2×#126C2×D1711yescharacteristic, complemented
863C2×#117—171no—
864C2×#117—171no—
865C2×#117—171no—
866C2×#117—171no—
867C2×#117—171no—
868C2×#117—171no—
869C2×#117—171no—
870C2×#117—348no—
871C2×#117C2×D1711yescharacteristic, complemented
872C22×C4⋊C4—171no—
873C22×C4⋊C4—171no—
874C22×C4⋊C4—171no—
875C22×C4⋊C4—171no—
876C22×C4⋊C4—171no—
877C22×C4⋊C4—171no—
878C22×C4⋊C4—171no—
879C22×C4⋊C4—171no—
880C22×C4⋊C4—171no—
881C22×C4⋊C4—171no—
882C22×C22⋊C4—171no—
883C22×C22⋊C4—171no—
884C22×C22⋊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×C42—171no—
894C22×C42—171no—
895C22×C42—171no—
896C22×C42—171no—
897#399—171no—
898#399—171no—
899#399—171no—
900#399—171no—
901#399—171no—
902#399—171no—
903#399—171no—
904#399—171no—
905#399—171no—
906#399—171no—
907#399—171no—
908#399—171no—
909#399—171no—
910#399—171no—
911#399C2×D1711yescharacteristic, complemented
912#399C2×D1711yescharacteristic, complemented
913#398—171no—
914#398—171no—
915#398—171no—
916#398—171no—
917#398—171no—
918#398—171no—
919#398—171no—
920#398C2×D1711yescharacteristic, complemented
921#394—171no—
922#394—171no—
923#394—171no—
924#394—171no—
925#394—171no—
926#394—171no—
927#394—171no—
928#394C2×D1711yescharacteristic
929#390—171no—
930#390—171no—
931#390—171no—
932#390—171no—
933#390—171no—
934#390—171no—
935#390—171no—
936#390C2×D1711yescharacteristic
937#389—171no—
938#389—171no—
939#389—171no—
940#389—171no—
941#389—171no—
942#389—171no—
943#389—171no—
944#389C2×D1711yescharacteristic, complemented
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#388—171no—
962#388—171no—
963#388—171no—
964#388—171no—
965#388—171no—
966#388C2×D1711yescharacteristic, complemented
967#388C2×D1711yescharacteristic, complemented
968#388C2×D1711yescharacteristic, complemented
969#387—171no—
970#387—171no—
971#387—171no—
972#387—171no—
973#387—171no—
974#387—171no—
975#387—171no—
976#387C2×D1711yescharacteristic, complemented
977#386—171no—
978#386—171no—
979#386—171no—
980#386—171no—
981#386—171no—
982#386—171no—
983#386—171no—
984#386C2×D1711yescharacteristic
985#385—171no—
986#385—171no—
987#385—171no—
988#385—171no—
989#385—171no—
990#385—171no—
991#385—171no—
992#385C2×D1711yescharacteristic, complemented
993C4×C4⋊C4—171no—
994C4×C4⋊C4—171no—
995C4×C4⋊C4—171no—
996C4×C4⋊C4—171no—
997C4×C4⋊C4—171no—
998C4×C4⋊C4—171no—
999C4×C4⋊C4—171no—
1000C4×C4⋊C4C2×D1711yescharacteristic, complemented
1001C2×#95—171no—
1002C2×#95—171no—
1003C2×#95—171no—
1004C2×#95—171no—
1005C2×#95—171no—
1006C2×#95—171no—
1007C2×#95—171no—
1008C2×#95—171no—
1009C2×C17—42no—
1010C2×C17—81no—
1011C2×C17C2×#52511yescharacteristic
1012C2×C17C2×#52911yescharacteristic
1013C2×C17C2×#54211yescharacteristic
1014C2×C17C2×#54711yescharacteristic
1015C2×C17C2×#55011yescharacteristic
1016C2×C17C2×#55111yescharacteristic
1017C2×C17C2×#55211yescharacteristic
1018D17—42no—
1019D17—81no—
1020D17#247918yesdirect product factor
1021C25—171no—
1022C25—171no—
1023C22×D4—171no—
1024C22×D4—171no—
1025C22×D4—171no—
1026C22×D4—344no—
1027C22×D4—344no—
1028C22×D4—682no—
1029C22×D4C22×D1711yescharacteristic
1030C23×C4—171no—
1031C23×C4—171no—
1032C23×C4—171no—
1033C23×C4—171no—
1034C23×C4—171no—
1035C23×C4—171no—
1036C23×C4—171no—
1037C23×C4—171no—
1038C23×C4—171no—
1039C23×C4—171no—
1040C23×C4—171no—
1041C23×C4—171no—
1042C23×C4—171no—
1043C23×C4—171no—
1044C23×C4—171no—
1045C23×C4—171no—
1046C23×C4—344no—
1047C23×C4—344no—
1048C23×C4—344no—
1049C23×C4C22×D1711yescharacteristic
1050#126—24no—
1051#126—344no—
1052#126—344no—
1053#126—344no—
1054#126—344no—
1055#126—344no—
1056#126—344no—
1057#126—344no—
1058#117—24no—
1059#117—344no—
1060#117—344no—
1061#117—344no—
1062#117—344no—
1063#117—344no—
1064#117—344no—
1065#117—344no—
1066C2×C4⋊C4—171no—
1067C2×C4⋊C4—171no—
1068C2×C4⋊C4—171no—
1069C2×C4⋊C4—178no—
1070C2×C4⋊C4—171no—
1071C2×C4⋊C4—171no—
1072C2×C4⋊C4—171no—
1073C2×C4⋊C4—171no—
1074C2×C4⋊C4—171no—
1075C2×C4⋊C4—171no—
1076C2×C4⋊C4—171no—
1077C2×C4⋊C4—171no—
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—344no—
1098C2×C4⋊C4—344no—
1099C2×C4⋊C4—344no—
1100C2×C4⋊C4—344no—
1101C2×C4⋊C4—344no—
1102C2×C4⋊C4—344no—
1103C2×C4⋊C4—682no—
1104C2×C4⋊C4—682no—
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×C4⋊C4C22×D1711yescharacteristic
1114C2×C4⋊C4C22×D1711yescharacteristic
1115C2×C4⋊C4C22×D1711yescharacteristic
1116C2×C22⋊C4—171no—
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—171no—
1148C2×C22⋊C4—171no—
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—344no—
1157C2×C22⋊C4—344no—
1158C2×C22⋊C4—682no—
1159C2×C22⋊C4—682no—
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×C22⋊C4C22×D1711yescharacteristic
1169C2×C22⋊C4C22×D1711yescharacteristic
1170C2×C22⋊C4C22×D1711yescharacteristic
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—171no—
1181C2×C42—171no—
1182C2×C42—171no—
1183C2×C42—344no—
1184C2×C42—344no—
1185C2×C42—344no—
1186C2×C42—344no—
1187C2×C42C22×D1711yescharacteristic
1188C2×C42C22×D1711yescharacteristic
1189C2×C42C22×D1711yescharacteristic
1190C2×C42C22×D1711yescharacteristic
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#95C22×D1711yescharacteristic
1216#95C22×D1711yescharacteristic
1217#95C22×D1711yescharacteristic
1218#95C22×D1711yescharacteristic
1219#95C22×D1711yescharacteristic
1220#95C22×D1711yescharacteristic
1221#95C22×D1711yescharacteristic
1222#95C22×D1711yescharacteristic
1223C17C2×#247911yescharacteristic, complemented, Sylow
1224C24—171no—
1225C24—174no—
1226C24—171no—
1227C24—171no—
1228C24—342no—
1229C24—342no—
1230C24—342no—
1231C24—342no—
1232C24—342no—
1233C24—342no—
1234C24—342no—
1235C24—342no—
1236C24—342no—
1237C24—342no—
1238C24—342no—
1239C24—342no—
1240C24—342no—
1241C24C23×D1711yescharacteristic
1242C24C23×D1711yescharacteristic
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—41no—
1246C2×D4—342no—
1247C2×D4—342no—
1248C2×D4—342no—
1249C2×D4—342no—
1250C2×D4—342no—
1251C2×D4—342no—
1252C2×D4—681no—
1253C2×D4—6816no—
1254C2×D4—681no—
1255C2×D4—681no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—171no—
1260C22×C4—171no—
1261C22×C4—171no—
1262C22×C4—171no—
1263C22×C4—171no—
1264C22×C4—171no—
1265C22×C4—174no—
1266C22×C4—174no—
1267C22×C4—174no—
1268C22×C4—174no—
1269C22×C4—174no—
1270C22×C4—174no—
1271C22×C4—171no—
1272C22×C4—171no—
1273C22×C4—171no—
1274C22×C4—171no—
1275C22×C4—171no—
1276C22×C4—171no—
1277C22×C4—171no—
1278C22×C4—342no—
1279C22×C4—342no—
1280C22×C4—342no—
1281C22×C4—342no—
1282C22×C4—342no—
1283C22×C4—342no—
1284C22×C4—342no—
1285C22×C4—342no—
1286C22×C4—342no—
1287C22×C4—342no—
1288C22×C4—342no—
1289C22×C4—342no—
1290C22×C4—342no—
1291C22×C4—342no—
1292C22×C4—342no—
1293C22×C4—342no—
1294C22×C4—3432no—
1295C22×C4—342no—
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×C4C23×D1711yescharacteristic
1322C22×C4C23×D1711yescharacteristic
1323C22×C4C23×D1711yescharacteristic
1324C22×C4C23×D1711yescharacteristic
1325C22×C4C23×D1711yescharacteristic
1326C22×C4C23×D1711yescharacteristic
1327C22×C4C23×D1711yescharacteristic
1328C22×C4C23×D1711yescharacteristic
1329C22×C4C23×D1711yescharacteristic
1330C22×C4C23×D1711yescharacteristic
1331C22×C4C23×D1711yescharacteristic
1332C22×C4C23×D1711yescharacteristic
1333C22×C4C23×D1711yescharacteristic
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—174no—
1344C4⋊C4—174no—
1345C4⋊C4—174no—
1346C4⋊C4—342no—
1347C4⋊C4—342no—
1348C4⋊C4—342no—
1349C4⋊C4—342no—
1350C4⋊C4—342no—
1351C4⋊C4—342no—
1352C4⋊C4—342no—
1353C4⋊C4—342no—
1354C4⋊C4—342no—
1355C4⋊C4—342no—
1356C4⋊C4—342no—
1357C4⋊C4—342no—
1358C4⋊C4—342no—
1359C4⋊C4—342no—
1360C4⋊C4—342no—
1361C4⋊C4—342no—
1362C4⋊C4—342no—
1363C4⋊C4—342no—
1364C4⋊C4—681no—
1365C4⋊C4—681no—
1366C4⋊C4—681no—
1367C4⋊C4—681no—
1368C4⋊C4—681no—
1369C4⋊C4—681no—
1370C4⋊C4—681no—
1371C4⋊C4—681no—
1372C4⋊C4—681no—
1373C4⋊C4D4×D1714yescomplemented
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—342no—
1386C22⋊C4—342no—
1387C22⋊C4—342no—
1388C22⋊C4—342no—
1389C22⋊C4—342no—
1390C22⋊C4—342no—
1391C22⋊C4—342no—
1392C22⋊C4—342no—
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—681no—
1413C22⋊C4—681no—
1414C22⋊C4—681no—
1415C22⋊C4—681no—
1416C22⋊C4—681no—
1417C22⋊C4—681no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—342no—
1423C42—342no—
1424C42—342no—
1425C42—342no—
1426C42—342no—
1427C42—342no—
1428C42—342no—
1429C42—342no—
1430C42—342no—
1431C42—342no—
1432C42—342no—
1433C42—342no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—172no—
1448C23—172no—
1449C23—172no—
1450C23—172no—
1451C23—172no—
1452C23—172no—
1453C23—172no—
1454C23—172no—
1455C23—348no—
1456C23—348no—
1457C23—348no—
1458C23—341no—
1459C23—341no—
1460C23—341no—
1461C23—341no—
1462C23—341no—
1463C23—341no—
1464C23—341no—
1465C23—341no—
1466C23—341no—
1467C23—341no—
1468C23—341no—
1469C23—341no—
1470C23—341no—
1471C23—684no—
1472C23—684no—
1473C23—684no—
1474C23—684no—
1475C23—684no—
1476C23—684no—
1477C23—684no—
1478C23—684no—
1479C23—684no—
1480C23—684no—
1481C23—684no—
1482C23#41×D1712yes—
1483C23C24×D1711yescharacteristic
1484D4—44no—
1485D4—684no—
1486D4—684no—
1487D4—684no—
1488C2×C4—28no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—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—172no—
1523C2×C4—172no—
1524C2×C4—172no—
1525C2×C4—172no—
1526C2×C4—172no—
1527C2×C4—172no—
1528C2×C4—348no—
1529C2×C4—348no—
1530C2×C4—348no—
1531C2×C4—348no—
1532C2×C4—348no—
1533C2×C4—348no—
1534C2×C4—348no—
1535C2×C4—348no—
1536C2×C4—348no—
1537C2×C4—341no—
1538C2×C4—341no—
1539C2×C4—341no—
1540C2×C4—341no—
1541C2×C4—341no—
1542C2×C4—341no—
1543C2×C4—341no—
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—684no—
1571C2×C4—684no—
1572C2×C4—684no—
1573C2×C4—684no—
1574C2×C4—684no—
1575C2×C4—684no—
1576C2×C4—684no—
1577C2×C4C2×D4×D1712yes—
1578C2×C4C2×D4×D1712yes—
1579C2×C4C2×D4×D1712yes—
1580C2×C4#41×D1712yes—
1581C2×C4#41×D1712yes—
1582C2×C4#41×D1712yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—174no—
1598C22—174no—
1599C22—174no—
1600C22—174no—
1601C22—174no—
1602C22—174no—
1603C22—174no—
1604C22—342no—
1605C22—342no—
1606C22—342no—
1607C22—6816no—
1608C22—681no—
1609C22—681no—
1610C22—681no—
1611C22—681no—
1612C22—681no—
1613C22—681no—
1614C22—681no—
1615C22—681no—
1616C22—681no—
1617C22—681no—
1618C22—681no—
1619C22—1368no—
1620C22C22×D4×D1711yescharacteristic
1621C22C2×#41×D1711yescharacteristic
1622C22C2×#41×D1711yescharacteristic
1623C22C2×#41×D1711yescharacteristic
1624C22C2×#41×D1711yescharacteristic
1625C22H(5,𝔽2)×D1711yescharacteristic
1626C222−1+4×D1711yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—342no—
1641C4—342no—
1642C4—342no—
1643C4—342no—
1644C4—342no—
1645C4—342no—
1646C4—681no—
1647C4—681no—
1648C4—681no—
1649C4—681no—
1650C4—681no—
1651C4—681no—
1652C4—681no—
1653C2—42no—
1654C2—81no—
1655C2—178no—
1656C2—682no—
1657C2—1361no—
1658C2D17×#52511yescharacteristic
1659C2D17×#52911yescharacteristic
1660C2D17×#54211yescharacteristic
1661C2D17×#54711yescharacteristic
1662C2D17×#55011yescharacteristic
1663C2D17×#55111yescharacteristic
1664C2D17×#55211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2479C2
prime radicalC22×D4×D17C22
hypercenter#2479D17
hypocenterC17C2×#2479
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2479

Complements

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

NH ≅ G/Ntype
1. C2×#126×D17C2semidirect
2. C2×#117×D17C2semidirect
3. #14533022C2semidirect
4. #14533021C2semidirect
5. #14533020C2semidirect
6. #14533019C2semidirect
7. #14533018C2semidirect
8. #14533017C2semidirect
9. #14533016C2semidirect
10. #14533015C2semidirect
11. #14533014C2semidirect
12. #14533013C2semidirect
13. #14533012C2semidirect
14. #14533011C2semidirect
15. #14533010C2semidirect
16. #14533009C2semidirect
17. #14533008C2semidirect
18. D17×#399C2semidirect
19. D17×#399C2semidirect
20. D17×#398C2semidirect
23. D17×#389C2semidirect
24. D17×#388C2semidirect
25. D17×#388C2semidirect
26. D17×#388C2semidirect
27. D17×#387C2semidirect
29. D17×#385C2semidirect
30. C4×C4⋊C4×D17C2semidirect
31. C17×#2479C2semidirect
34. C2×#10587584C22semidirect
35. C2×#10587584C22semidirect
36. C2×#10587584C22semidirect
37. C2×#10587562C22semidirect
38. C2×#10587565C22semidirect
39. C2×#10587565C22semidirect
40. C2×#10587565C22semidirect
42. C2×#10587612C22semidirect
43. C2×#10587578C22semidirect
44. C2×#10587578C22semidirect
45. C2×#10587558C22semidirect
46. C2×#10587558C22semidirect
47. C2×#10587563C22semidirect
48. C2×#10587563C22semidirect
75. #11762746C22semidirect
76. #11762746C22semidirect
77. #11762745C22semidirect
78. #11762745C22semidirect
79. #11762745C22semidirect
80. #11762745C22semidirect
81. #11762745C22semidirect
82. #11762745C22semidirect
83. #11762744C22semidirect
84. #11762744C22semidirect
85. #11762744C22semidirect
86. #11762744C22semidirect
87. #11762744C22semidirect
88. #11762744C22semidirect
89. #11762743C22semidirect
90. #11762743C22semidirect
91. #11762742C22semidirect
92. #11762742C22semidirect
93. #11762741C22semidirect
94. #11762740C22semidirect
95. #11762739C22semidirect
110. #11762708C22semidirect
111. #11762707C22semidirect
112. #11762706C22semidirect
113. #11762706C22semidirect
114. #11762705C22semidirect
115. #11762704C22semidirect
116. #11762704C22semidirect
117. #11762703C22semidirect
118. #11762703C22semidirect
119. #11762703C22semidirect
120. #11762702C22semidirect
121. #11762702C22semidirect
122. #11762702C22semidirect
123. #11762701C22semidirect
124. #11762701C22semidirect
125. #11762701C22semidirect
126. #11762700C22semidirect
127. #11762700C22semidirect
128. #11762700C22semidirect
129. #11762699C22semidirect
130. #11762699C22semidirect
131. #11762699C22semidirect
132. #11762698C22semidirect
133. #11762698C22semidirect
134. #11762698C22semidirect
135. #11762697C22semidirect
136. #11762697C22semidirect
137. #11762697C22semidirect
138. #11762696C22semidirect
139. #11762695C22semidirect
140. #11762694C22semidirect
141. #11762693C22semidirect
142. #11762692C22semidirect
143. #11762691C22semidirect
144. #11762690C22semidirect
152. #11762684C22semidirect
153. #11762683C22semidirect
154. #11762683C22semidirect
155. #11762682C22semidirect
156. #11762681C22semidirect
157. #11762680C22semidirect
158. #11762680C22semidirect
159. C4⋊C4×Dic17C22semidirect
160. C4⋊C4×Dic17C22semidirect
161. C4×#63225C22semidirect
162. C4×#63225C22semidirect
163. C4×C4⋊Dic17C22semidirect
164. #11762660C22semidirect
165. #11762660C22semidirect
174. C2×C17×#126C22semidirect
175. C2×C17×#117C22semidirect
176. C17×#399C22semidirect
177. C17×#399C22semidirect
178. C17×#398C22semidirect
181. C17×#389C22semidirect
182. C17×#388C22semidirect
183. C17×#388C22semidirect
184. C17×#388C22semidirect
185. C17×#387C22semidirect
187. C17×#385C22semidirect
188. C4×C4⋊C4×C17C22semidirect
335. C4⋊C4×D17D4semidirect
510. C4⋊C4×C17C2×D4semidirect
568. C4⋊Dic17C2×D4semidirect
587. #63225C2×D4semidirect
588. #63225C2×D4semidirect
768. #2479D17direct (N × H)
862. C2×#126C2×D17semidirect
871. C2×#117C2×D17semidirect
911. #399C2×D17semidirect
912. #399C2×D17semidirect
920. #398C2×D17semidirect
944. #389C2×D17semidirect
966. #388C2×D17semidirect
967. #388C2×D17semidirect
968. #388C2×D17semidirect
976. #387C2×D17semidirect
992. #385C2×D17semidirect
1000. C4×C4⋊C4C2×D17semidirect
1020. D17#2479direct (N × H)
1223. C17C2×#2479semidirect
1373. C4⋊C4D4×D17semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D172
C2×#117×D172
#145330222
#145330212
#145330202
#145330192
#145330182
#145330172
#145330162
#145330152
#145330142
#145330132
#145330122
#145330112
#145330102
#145330092
#145330082
D17×#3992
D17×#3982
D17×#3942
D17×#3902
D17×#3892
D17×#3882
D17×#3872
D17×#3862
D17×#3852
C4×C4⋊C4×D172
C17×#24792
C2×#247917