Finite Group Databasebeta

← D17×#2443 #17201770

Subgroups — D17×#2443 #17201770

Order 4352.

4002 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D17C211yesmaximal, characteristic, complemented
2C2×#121×D17C211yesmaximal, characteristic
3C2×C4×D4×D17C211yesmaximal, characteristic, complemented
4C22×C4⋊C4×D17C211yesmaximal, characteristic, complemented
5#14532526C211yesmaximal, characteristic, complemented
6#14532525C211yesmaximal, characteristic, complemented
7#14532524C211yesmaximal, characteristic, complemented
8#14532523C211yesmaximal, characteristic, complemented
9#14532522C211yesmaximal, characteristic, complemented
10#14532521C211yesmaximal, characteristic, complemented
11#14532520C211yesmaximal, characteristic, complemented
12#14532519C211yesmaximal, characteristic, complemented
13#14532518C211yesmaximal, characteristic, complemented
14#14532517C211yesmaximal, characteristic, complemented
15#14532516C211yesmaximal, characteristic, complemented
16#14532515C211yesmaximal, characteristic, complemented
17#14532514C211yesmaximal, characteristic, complemented
18#14532513C211yesmaximal, characteristic, complemented
19#14532512C211yesmaximal, characteristic, complemented
20D17×#399C211yesmaximal, characteristic, complemented
21D17×#398C211yesmaximal, characteristic, complemented
22D17×#397C211yesmaximal, characteristic, complemented
23D17×#394C211yesmaximal, characteristic, complemented
24D17×#388C211yesmaximal, characteristic, complemented
25D17×#387C211yesmaximal, characteristic, complemented
26D17×#386C211yesmaximal, characteristic, complemented
27D17×#386C211yesmaximal, characteristic, complemented
28D17×#386C211yesmaximal, characteristic, complemented
29D17×#385C211yesmaximal, characteristic, complemented
30D17×#385C211yesmaximal, characteristic, complemented
31C17×#2443C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C22×D4×D17C2211yescharacteristic
35C23×C4×D17C2211yescharacteristic
36C23×C4×D17C2211yescharacteristic
37C23×C4×D17C2211yescharacteristic
38C23×C4×D17C2211yescharacteristic
39C2×#10587580C2211yescharacteristic, complemented
40C2×#10587580C2211yescharacteristic, complemented
41C2×#10587572C2211yescharacteristic, complemented
42C2×#10587615C2211yescharacteristic, complemented
43C2×#10587569C2211yescharacteristic, complemented
44C2×#10587569C2211yescharacteristic, complemented
45C2×#10587621C2211yescharacteristic, complemented
46#123×D17—28no—
47C2×#10587581C2211yescharacteristic
48C2×#10587616C2211yescharacteristic
49C2×#10587570C2211yescharacteristic
50C2×#10587570C2211yescharacteristic
51C2×#10587625C2211yescharacteristic
52C2×#10587625C2211yescharacteristic
53C2×#10587624C2211yescharacteristic
54#121×D17—28no—
55C2×C4×D68C2211yescharacteristic, complemented
56C2×D4×Dic17C2211yescharacteristic, complemented
57C2×#10587579C2211yescharacteristic, complemented
58C2×C4×C22⋊D17C2211yescharacteristic, complemented
59C2×C4×C22⋊D17C2211yescharacteristic, complemented
60C2×#10587567C2211yescharacteristic, complemented
61C2×#10587567C2211yescharacteristic, complemented
62C4×D4×D17—28no—
63C22×C4⋊Dic17C2211yescharacteristic, complemented
64C22×#63225C2211yescharacteristic, complemented
65C22×#63225C2211yescharacteristic, complemented
66C2×C4⋊C4×D17—28no—
67C2×C4⋊C4×D17C2211yescharacteristic
68C2×C4⋊C4×D17C2211yescharacteristic
69C2×C4⋊C4×D17C2211yescharacteristic
70C2×C4⋊C4×D17C2211yescharacteristic
71C2×C4⋊C4×D17C2211yescharacteristic
72C2×C4⋊C4×D17C2211yescharacteristic
73C2×C4⋊C4×D17C2211yescharacteristic
74C2×C4⋊C4×D17C2211yescharacteristic
75C2×C4⋊C4×D17C2211yescharacteristic, complemented
76C2×C4⋊C4×D17C2211yescharacteristic, complemented
77C2×C4⋊C4×D17C2211yescharacteristic, complemented
78C2×C4⋊C4×D17C2211yescharacteristic, complemented
79C2×C22⋊C4×D17C2211yescharacteristic
80C2×C22⋊C4×D17C2211yescharacteristic
81C2×C22⋊C4×D17C2211yescharacteristic
82C2×C22⋊C4×D17C2211yescharacteristic
83C2×C22⋊C4×D17C2211yescharacteristic
84C2×C22⋊C4×D17C2211yescharacteristic
85C2×C22⋊C4×D17C2211yescharacteristic
86C2×C22⋊C4×D17C2211yescharacteristic
87C2×C22⋊C4×D17C2211yescharacteristic
88C2×C22⋊C4×D17C2211yescharacteristic
89C2×C22⋊C4×D17C2211yescharacteristic
90C2×C42×D17C2211yescharacteristic
91#11762746C2211yescharacteristic, complemented
92#11762745C2211yescharacteristic, complemented
93#11762745C2211yescharacteristic, complemented
94#11762745C2211yescharacteristic, complemented
95#11762744C2211yescharacteristic, complemented
96#11762744C2211yescharacteristic, complemented
97#11762744C2211yescharacteristic, complemented
98#11762743C2211yescharacteristic, complemented
99#11762743C2211yescharacteristic, complemented
100#11762742C2211yescharacteristic, complemented
101#11762742C2211yescharacteristic, complemented
102#11762741C2211yescharacteristic, complemented
103#11762740C2211yescharacteristic, complemented
104#11762739C2211yescharacteristic, complemented
105#11762738C2211yescharacteristic, complemented
106#11762738C2211yescharacteristic, complemented
107#11762737C2211yescharacteristic, complemented
108#11762737C2211yescharacteristic, complemented
109#11762736C2211yescharacteristic, complemented
110#11762735C2211yescharacteristic, complemented
111#11762734C2211yescharacteristic, complemented
112#11762727C2211yescharacteristic, complemented
113#11762726C2211yescharacteristic, complemented
114#11762725C2211yescharacteristic, complemented
115#11762725C2211yescharacteristic, complemented
116#11762724C2211yescharacteristic, complemented
117#11762724C2211yescharacteristic, complemented
118#11762723C2211yescharacteristic, complemented
119#11762703C2211yescharacteristic, complemented
120#11762702C2211yescharacteristic, complemented
121#11762701C2211yescharacteristic, complemented
122#11762700C2211yescharacteristic, complemented
123#11762699C2211yescharacteristic, complemented
124#11762698C2211yescharacteristic, complemented
125#11762697C2211yescharacteristic, complemented
126#11762696C2211yescharacteristic, complemented
127#11762695C2211yescharacteristic, complemented
128#11762694C2211yescharacteristic, complemented
129#11762693C2211yescharacteristic, complemented
130#11762692C2211yescharacteristic, complemented
131#11762691C2211yescharacteristic, complemented
132#11762690C2211yescharacteristic, complemented
133#11762689C2211yescharacteristic, complemented
134#11762689C2211yescharacteristic, complemented
135#11762689C2211yescharacteristic, complemented
136#11762688C2211yescharacteristic, complemented
137#11762688C2211yescharacteristic, complemented
138#11762688C2211yescharacteristic, complemented
139#11762687C2211yescharacteristic, complemented
140#11762687C2211yescharacteristic, complemented
141#11762687C2211yescharacteristic, complemented
142#11762687C2211yescharacteristic, complemented
143#11762687C2211yescharacteristic, complemented
144#11762687C2211yescharacteristic, complemented
145#11762686C2211yescharacteristic, complemented
146#11762686C2211yescharacteristic, complemented
147#11762686C2211yescharacteristic, complemented
148#11762685C2211yescharacteristic, complemented
149#11762685C2211yescharacteristic, complemented
150#11762685C2211yescharacteristic, complemented
151#11762685C2211yescharacteristic, complemented
152#11762685C2211yescharacteristic, complemented
153#11762685C2211yescharacteristic, complemented
154#11762684C2211yescharacteristic, complemented
155#11762684C2211yescharacteristic, complemented
156#11762683C2211yescharacteristic, complemented
157#11762683C2211yescharacteristic, complemented
158#11762683C2211yescharacteristic, complemented
159#11762683C2211yescharacteristic, complemented
160#11762682C2211yescharacteristic, complemented
161#11762682C2211yescharacteristic, complemented
162#11762681C2211yescharacteristic, complemented
163#11762681C2211yescharacteristic, complemented
164#11762680C2211yescharacteristic, complemented
165#11762680C2211yescharacteristic, complemented
166#11762680C2211yescharacteristic, complemented
167#11762680C2211yescharacteristic, complemented
168#95×D17C2211yescharacteristic
169#95×D17C2211yescharacteristic
170#95×D17C2211yescharacteristic
171#95×D17C2211yescharacteristic
172#95×D17C2211yescharacteristic
173#95×D17C2211yescharacteristic
174#95×D17C2211yescharacteristic
175#95×D17C2211yescharacteristic
176C2×C17×#123C2211yescharacteristic, complemented
177C2×C17×#121C2211yescharacteristic
178C2×C4×D4×C17C2211yescharacteristic, complemented
179C22×C4⋊C4×C17C2211yescharacteristic, complemented
180C17×#399C2211yescharacteristic, complemented
181C17×#398C2211yescharacteristic, complemented
182C17×#397C2211yescharacteristic, complemented
183C17×#394C2211yescharacteristic, complemented
184C17×#388C2211yescharacteristic, complemented
185C17×#387C2211yescharacteristic, complemented
186C17×#386C2211yescharacteristic, complemented
187C17×#386C2211yescharacteristic, complemented
188C17×#386C2211yescharacteristic, complemented
189C17×#385C2211yescharacteristic, complemented
190C17×#385C2211yescharacteristic, complemented
191C24×D17C2311yescharacteristic
192C24×D17C2311yescharacteristic
193C24×D17C2311yescharacteristic
194C22×D4×C17C2311yescharacteristic
195C22×D4×C17C2311yescharacteristic
196C22×D4×C17C2311yescharacteristic
197C23×C4×C17C2311yescharacteristic
198C23×C4×C17C2311yescharacteristic
199C23×C4×C17C2311yescharacteristic
200C23×C4×C17C2311yescharacteristic
201C22×C22⋊D17C2311yescharacteristic
202C22×C22⋊D17C2311yescharacteristic
203C22×C22⋊D17C2311yescharacteristic
204C22×C22⋊D17C2311yescharacteristic
205C22×C22⋊D17C2311yescharacteristic
206C22×C22⋊D17C2311yescharacteristic
207C23×Dic17C2311yescharacteristic
208C23×Dic17C2311yescharacteristic
209C23×Dic17C2311yescharacteristic
210C23×Dic17C2311yescharacteristic
211C2×D4×D17—24no—
212C2×D4×D17—24no—
213C2×D4×D17—24no—
214C2×D4×D17—24no—
215C2×D4×D17—24no—
216C2×D4×D17—24no—
217C2×D4×D17—24no—
218C2×D4×D17—42no—
219C2×D4×D17D418yes—
220C22×D68C2311yescharacteristic
221C22×D68C2311yescharacteristic
222C22×D68C2311yescharacteristic
223C22×C4×D17—24no—
224C22×C4×D17—24no—
225C22×C4×D17—24no—
226C22×C4×D17—24no—
227C22×C4×D17—24no—
228C22×C4×D17—24no—
229C22×C4×D17—24no—
230C22×C4×D17—24no—
231C22×C4×D17—24no—
232C22×C4×D17—42no—
233C22×C4×D17—42no—
234C22×C4×D17—42no—
235C22×C4×D17C2311yescharacteristic
236C22×C4×D17C2311yescharacteristic
237C22×C4×D17C2311yescharacteristic
238C22×C4×D17C2311yescharacteristic
239C22×C4×D17C2311yescharacteristic
240C22×C4×D17C2311yescharacteristic
241C22×C4×D17C2311yescharacteristic
242C22×C4×D17C2311yescharacteristic
243C22×C4×D17C2311yescharacteristic
244C22×C4×D17C2311yescharacteristic
245C22×C4×D17C2311yescharacteristic
246C22×C4×D17C2311yescharacteristic
247C22×C4×D17C2311yescharacteristic
248C22×C4×D17C2311yescharacteristic
249C22×C4×D17C2311yescharacteristic
250C22×C4×D17C2311yescharacteristic
251C22×C4×D17C2311yescharacteristic
252C22×C4×D17C2311yescharacteristic
253C22×C4×D17C2311yescharacteristic
254C22×C4×D17C2311yescharacteristic
255C17×#123—24no—
256C17×#121—24no—
257C4×D4×C17—24no—
258C2×C4⋊C4×C17—24no—
259C2×C4⋊C4×C17C2311yescharacteristic
260C2×C4⋊C4×C17C2311yescharacteristic
261C2×C4⋊C4×C17C2311yescharacteristic
262C2×C4⋊C4×C17C2311yescharacteristic
263C2×C4⋊C4×C17C2311yescharacteristic
264C2×C4⋊C4×C17C2311yescharacteristic
265C2×C4⋊C4×C17C2311yescharacteristic
266C2×C4⋊C4×C17C2311yescharacteristic
267C2×C22⋊C4×C17C2311yescharacteristic
268C2×C22⋊C4×C17C2311yescharacteristic
269C2×C22⋊C4×C17C2311yescharacteristic
270C2×C22⋊C4×C17C2311yescharacteristic
271C2×C22⋊C4×C17C2311yescharacteristic
272C2×C22⋊C4×C17C2311yescharacteristic
273C2×C22⋊C4×C17C2311yescharacteristic
274C2×C22⋊C4×C17C2311yescharacteristic
275C2×C22⋊C4×C17C2311yescharacteristic
276C2×C22⋊C4×C17C2311yescharacteristic
277C2×C22⋊C4×C17C2311yescharacteristic
278C2×C42×C17C2311yescharacteristic
279C2×C22⋊Dic17C2311yescharacteristic
280C2×C22⋊Dic17C2311yescharacteristic
281C2×C22⋊Dic17C2311yescharacteristic
282C2×C22⋊Dic17C2311yescharacteristic
283C2×C22⋊Dic17C2311yescharacteristic
284C2×C22⋊Dic17C2311yescharacteristic
285C2×C22⋊Dic17C2311yescharacteristic
286C2×C22⋊Dic17C2311yescharacteristic
287C2×C22⋊Dic17C2311yescharacteristic
288C2×C22⋊Dic17C2311yescharacteristic
289C2×C22⋊Dic17C2311yescharacteristic
290#10587625—24no—
291#10587625—24no—
292#10587624—24no—
293#10587621—24no—
294D4×Dic17—24no—
295#10587616—24no—
296#10587615—24no—
297C4×C22⋊D17—24no—
298C4×C22⋊D17—24no—
299C2×#63227C2311yescharacteristic
300C2×#63227C2311yescharacteristic
301C2×#63227C2311yescharacteristic
302C2×#63227C2311yescharacteristic
303C2×#63227C2311yescharacteristic
304C2×#63227C2311yescharacteristic
305C2×#63227C2311yescharacteristic
306C2×#63227C2311yescharacteristic
307C2×#63227C2311yescharacteristic
308C2×#63227C2311yescharacteristic
309C2×#63227C2311yescharacteristic
310C2×#63227C2311yescharacteristic
311C2×#63227C2311yescharacteristic
312C2×#63227C2311yescharacteristic
313C2×#63227C2311yescharacteristic
314C2×#63227C2311yescharacteristic
315C2×#63227C2311yescharacteristic
316C2×#63227C2311yescharacteristic
317C2×#63227C2311yescharacteristic
318C2×#63227C2311yescharacteristic
319C2×#63227C2311yescharacteristic
320C2×#63227C2311yescharacteristic
321C2×C4⋊Dic17—24no—
322C2×C4⋊Dic17C2311yescharacteristic
323C2×C4⋊Dic17C2311yescharacteristic
324C2×C4⋊Dic17C2311yescharacteristic
325C2×C4⋊Dic17C2311yescharacteristic
326C2×C4⋊Dic17C2311yescharacteristic
327C2×C4⋊Dic17C2311yescharacteristic
328C2×C4⋊Dic17C2311yescharacteristic
329C2×C4⋊Dic17C2311yescharacteristic
330C2×#63225—24no—
331C2×#63225—24no—
332C2×#63225C2311yescharacteristic
333C2×#63225C2311yescharacteristic
334C2×#63225C2311yescharacteristic
335C2×#63225C2311yescharacteristic
336C2×#63225C2311yescharacteristic
337C2×#63225C2311yescharacteristic
338C2×#63225C2311yescharacteristic
339C2×#63225C2311yescharacteristic
340C2×#63225C2311yescharacteristic
341C2×#63225C2311yescharacteristic
342C2×#63225C2311yescharacteristic
343C2×#63225C2311yescharacteristic
344C2×#63225C2311yescharacteristic
345C2×#63225C2311yescharacteristic
346C2×#63225C2311yescharacteristic
347C2×#63225C2311yescharacteristic
348C2×C4×Dic17C2311yescharacteristic
349C2×C4×Dic17C2311yescharacteristic
350C2×C4×Dic17C2311yescharacteristic
351#10587581—24no—
352#10587580—24no—
353#10587580—24no—
354#10587579—24no—
355C4⋊C4×D17—24no—
356C4⋊C4×D17—24no—
357C4⋊C4×D17—24no—
358C4⋊C4×D17—24no—
359C4⋊C4×D17—24no—
360C4⋊C4×D17—24no—
361C4⋊C4×D17—24no—
362C4⋊C4×D17—24no—
363C4⋊C4×D17—24no—
364C4⋊C4×D17—24no—
365C4⋊C4×D17—42no—
366C4⋊C4×D17D418yescomplemented
367#10587572—24no—
368#10587570—24no—
369#10587570—24no—
370#10587569—24no—
371#10587569—24no—
372#10587567—24no—
373#10587567—24no—
374C22⋊C4×D17—24no—
375C22⋊C4×D17—24no—
376C22⋊C4×D17—24no—
377C22⋊C4×D17—24no—
378C22⋊C4×D17—24no—
379C22⋊C4×D17—24no—
380C22⋊C4×D17—24no—
381C22⋊C4×D17—24no—
382C22⋊C4×D17—24no—
383C22⋊C4×D17—24no—
384C22⋊C4×D17—42no—
385C4×D68—24no—
386C42×D17—24no—
387C17×#95C2311yescharacteristic
388C17×#95C2311yescharacteristic
389C17×#95C2311yescharacteristic
390C17×#95C2311yescharacteristic
391C17×#95C2311yescharacteristic
392C17×#95C2311yescharacteristic
393C17×#95C2311yescharacteristic
394C17×#95C2311yescharacteristic
395#10587502C2311yescharacteristic
396#10587502C2311yescharacteristic
397#10587502C2311yescharacteristic
398#10587502C2311yescharacteristic
399#10587502C2311yescharacteristic
400#10587502C2311yescharacteristic
401#10587502C2311yescharacteristic
402#10587502C2311yescharacteristic
403#10587502C2311yescharacteristic
404#10587502C2311yescharacteristic
405#10587502C2311yescharacteristic
406#10587502C2311yescharacteristic
407#10587502C2311yescharacteristic
408#10587502C2311yescharacteristic
409#10587502C2311yescharacteristic
410#10587502C2311yescharacteristic
411#10587502C2311yescharacteristic
412#10587502C2311yescharacteristic
413#10587502C2311yescharacteristic
414#10587502C2311yescharacteristic
415#10587502C2311yescharacteristic
416#10587502C2311yescharacteristic
417#10587502C2311yescharacteristic
418#10587502C2311yescharacteristic
419C24×C17C2411yescharacteristic
420C24×C17C2411yescharacteristic
421C24×C17C2411yescharacteristic
422C23×D17—22no—
423C23×D17—22no—
424C23×D17—22no—
425C23×D17—22no—
426C23×D17—22no—
427C23×D17—22no—
428C23×D17—22no—
429C23×D17—22no—
430C23×D17—22no—
431C23×D17—22no—
432C23×D17—22no—
433C23×D17—22no—
434C23×D17—22no—
435C23×D17—22no—
436C23×D17—22no—
437C23×D17—22no—
438C23×D17—22no—
439C23×D17C2×D414yes—
440C23×D17C2×D414yes—
441C23×D17#4114yes—
442C23×D17#4114yes—
443C23×D17C2411yescharacteristic
444C23×D17C2411yescharacteristic
445C23×D17C2411yescharacteristic
446C23×D17C2411yescharacteristic
447C2×D4×C17—22no—
448C2×D4×C17—22no—
449C2×D4×C17—22no—
450C2×D4×C17—22no—
451C2×D4×C17—22no—
452C2×D4×C17—22no—
453C2×D4×C17—22no—
454C2×D4×C17—41no—
455C2×D4×C17C2×D414yes—
456C22×C4×C17—22no—
457C22×C4×C17—22no—
458C22×C4×C17—22no—
459C22×C4×C17—22no—
460C22×C4×C17—22no—
461C22×C4×C17—22no—
462C22×C4×C17—22no—
463C22×C4×C17—22no—
464C22×C4×C17—22no—
465C22×C4×C17—41no—
466C22×C4×C17—41no—
467C22×C4×C17—41no—
468C22×C4×C17C2411yescharacteristic
469C22×C4×C17C2411yescharacteristic
470C22×C4×C17C2411yescharacteristic
471C22×C4×C17C2411yescharacteristic
472C22×C4×C17C2411yescharacteristic
473C22×C4×C17C2411yescharacteristic
474C22×C4×C17C2411yescharacteristic
475C22×C4×C17C2411yescharacteristic
476C22×C4×C17C2411yescharacteristic
477C22×C4×C17C2411yescharacteristic
478C22×C4×C17C2411yescharacteristic
479C22×C4×C17C2411yescharacteristic
480C2×C22⋊D17—22no—
481C2×C22⋊D17—22no—
482C2×C22⋊D17—22no—
483C2×C22⋊D17—22no—
484C2×C22⋊D17—22no—
485C2×C22⋊D17—22no—
486C2×C22⋊D17—22no—
487C2×C22⋊D17—22no—
488C2×C22⋊D17—22no—
489C2×C22⋊D17—22no—
490C2×C22⋊D17—22no—
491C2×C22⋊D17—22no—
492C2×C22⋊D17—22no—
493C2×C22⋊D17—22no—
494C2×C22⋊D17—41no—
495C2×C22⋊D17—41no—
496C2×C22⋊D17C2×D414yes—
497C2×C22⋊D17C2×D414yes—
498C22×Dic17—22no—
499C22×Dic17—22no—
500C22×Dic17—22no—
501C22×Dic17—22no—
502C22×Dic17—22no—
503C22×Dic17—22no—
504C22×Dic17—22no—
505C22×Dic17—22no—
506C22×Dic17—22no—
507C22×Dic17—41no—
508C22×Dic17—41no—
509C22×Dic17—41no—
510C22×Dic17C2411yescharacteristic
511C22×Dic17C2411yescharacteristic
512C22×Dic17C2411yescharacteristic
513C22×Dic17C2411yescharacteristic
514C22×Dic17C2411yescharacteristic
515C22×Dic17C2411yescharacteristic
516C22×Dic17C2411yescharacteristic
517C22×Dic17C2411yescharacteristic
518C22×Dic17C2411yescharacteristic
519C22×Dic17C2411yescharacteristic
520C22×Dic17C2411yescharacteristic
521C22×Dic17C2411yescharacteristic
522D4×D17—232no—
523D4×D17—416no—
524D4×D17—416no—
525C2×D68—22no—
526C2×D68—22no—
527C2×D68—22no—
528C2×D68—22no—
529C2×D68—22no—
530C2×D68—22no—
531C2×D68—22no—
532C2×D68—41no—
533C2×D68C2×D414yes—
534C2×C4×D17—232no—
535C2×C4×D17—22no—
536C2×C4×D17—22no—
537C2×C4×D17—22no—
538C2×C4×D17—22no—
539C2×C4×D17—22no—
540C2×C4×D17—22no—
541C2×C4×D17—22no—
542C2×C4×D17—22no—
543C2×C4×D17—22no—
544C2×C4×D17—22no—
545C2×C4×D17—22no—
546C2×C4×D17—22no—
547C2×C4×D17—22no—
548C2×C4×D17—22no—
549C2×C4×D17—22no—
550C2×C4×D17—22no—
551C2×C4×D17—22no—
552C2×C4×D17—22no—
553C2×C4×D17—22no—
554C2×C4×D17—22no—
555C2×C4×D17—22no—
556C2×C4×D17—22no—
557C2×C4×D17—22no—
558C2×C4×D17—22no—
559C2×C4×D17—22no—
560C2×C4×D17—22no—
561C2×C4×D17—22no—
562C2×C4×D17—22no—
563C2×C4×D17—22no—
564C2×C4×D17—22no—
565C2×C4×D17—22no—
566C2×C4×D17—22no—
567C2×C4×D17—22no—
568C2×C4×D17—22no—
569C2×C4×D17—22no—
570C2×C4×D17—22no—
571C2×C4×D17—22no—
572C2×C4×D17—22no—
573C2×C4×D17—22no—
574C2×C4×D17—22no—
575C2×C4×D17—22no—
576C2×C4×D17—22no—
577C2×C4×D17—22no—
578C2×C4×D17—22no—
579C2×C4×D17—22no—
580C2×C4×D17—22no—
581C2×C4×D17—22no—
582C2×C4×D17—22no—
583C2×C4×D17—22no—
584C2×C4×D17—416no—
585C2×C4×D17—416no—
586C2×C4×D17—416no—
587C2×C4×D17—41no—
588C2×C4×D17—41no—
589C2×C4×D17—41no—
590C2×C4×D17—41no—
591C2×C4×D17—41no—
592C2×C4×D17—41no—
593C2×C4×D17C2×D414yes—
594C2×C4×D17C2×D414yes—
595C2×C4×D17C2×D414yes—
596C2×C4×D17C2×D414yes—
597C2×C4×D17#4114yes—
598C4⋊C4×C17—22no—
599C4⋊C4×C17—22no—
600C4⋊C4×C17—22no—
601C4⋊C4×C17—22no—
602C4⋊C4×C17—22no—
603C4⋊C4×C17—22no—
604C4⋊C4×C17—41no—
605C4⋊C4×C17C2×D414yescomplemented
606C22⋊C4×C17—22no—
607C22⋊C4×C17—22no—
608C22⋊C4×C17—22no—
609C22⋊C4×C17—22no—
610C22⋊C4×C17—22no—
611C22⋊C4×C17—22no—
612C22⋊C4×C17—22no—
613C22⋊C4×C17—22no—
614C22⋊C4×C17—22no—
615C22⋊C4×C17—22no—
616C22⋊C4×C17—41no—
617C42×C17—22no—
618C22⋊Dic17—22no—
619C22⋊Dic17—22no—
620C22⋊Dic17—22no—
621C22⋊Dic17—22no—
622C22⋊Dic17—22no—
623C22⋊Dic17—22no—
624C22⋊Dic17—22no—
625C22⋊Dic17—22no—
626C22⋊Dic17—22no—
627C22⋊Dic17—22no—
628C22⋊Dic17—41no—
629#63227—22no—
630#63227—22no—
631#63227—22no—
632#63227—22no—
633#63227—22no—
634#63227—22no—
635#63227—22no—
636#63227—22no—
637#63227—22no—
638#63227—22no—
639#63227—22no—
640#63227—22no—
641#63227—22no—
642#63227—22no—
643#63227—22no—
644#63227—22no—
645#63227—22no—
646#63227—22no—
647#63227—22no—
648#63227—22no—
649#63227—41no—
650#63227—41no—
651C4⋊Dic17—22no—
652C4⋊Dic17—22no—
653C4⋊Dic17—22no—
654C4⋊Dic17—22no—
655C4⋊Dic17—22no—
656C4⋊Dic17—22no—
657C4⋊Dic17—41no—
658C4⋊Dic17C2×D414yescomplemented
659#63225—22no—
660#63225—22no—
661#63225—22no—
662#63225—22no—
663#63225—22no—
664#63225—22no—
665#63225—22no—
666#63225—22no—
667#63225—22no—
668#63225—22no—
669#63225—22no—
670#63225—22no—
671#63225—41no—
672#63225—41no—
673#63225C2×D414yescomplemented
674#63225C2×D414yescomplemented
675C4×Dic17—22no—
676C4×Dic17—22no—
677C4×Dic17—22no—
678C2×#2443—171nomaximal, Sylow
679C23×C17—21no—
680C23×C17—21no—
681C23×C17—21no—
682C23×C17—21no—
683C23×C17—21no—
684C23×C17—21no—
685C23×C17—21no—
686C23×C17—21no—
687C23×C17—21no—
688C23×C17—21no—
689C23×C17—21no—
690C23×C17—21no—
691C23×C17—21no—
692C23×C17—21no—
693C23×C17—21no—
694C23×C17—21no—
695C23×C17—21no—
696C23×C17C22×D412yes—
697C23×C17C22×D412yes—
698C23×C17C2×#4112yes—
699C23×C17C2×#4112yes—
700C23×C17C2511yescharacteristic
701C22×D17—21no—
702C22×D17—21no—
703C22×D17—21no—
704C22×D17—21no—
705C22×D17—28no—
706C22×D17—28no—
707C22×D17—28no—
708C22×D17—28no—
709C22×D17—28no—
710C22×D17—28no—
711C22×D17—21no—
712C22×D17—21no—
713C22×D17—21no—
714C22×D17—21no—
715C22×D17—21no—
716C22×D17—21no—
717C22×D17—28no—
718C22×D17—28no—
719C22×D17—28no—
720C22×D17—21no—
721C22×D17—21no—
722C22×D17—21no—
723C22×D17—21no—
724C22×D17—21no—
725C22×D17—21no—
726C22×D17—21no—
727C22×D17—44no—
728C22×D17—44no—
729C22×D17—44no—
730C22×D17—44no—
731C22×D17—44no—
732C22×D17—44no—
733C22×D17—44no—
734C22×D17—44no—
735C22×D17—44no—
736C22×D17—44no—
737C22×D17—44no—
738C22×D17#123116yescomplemented
739C22×D17C22×D412yes—
740C22×D17C22×D412yes—
741C22×D17C22×D412yes—
742C22×D17C22×D412yes—
743C22×D17C2×#4112yes—
744C22×D17C2×#4112yes—
745C22×D17C2×#4112yes—
746C22×D17C2×#4112yes—
747C22×D17C2×#4112yes—
748C22×D17H(5,𝔽2)12yes—
749C22×D172−1+412yes—
750D4×C17—28no—
751D4×C17—44no—
752D4×C17—44no—
753C2×C4×C17—28no—
754C2×C4×C17—21no—
755C2×C4×C17—21no—
756C2×C4×C17—21no—
757C2×C4×C17—21no—
758C2×C4×C17—21no—
759C2×C4×C17—21no—
760C2×C4×C17—21no—
761C2×C4×C17—21no—
762C2×C4×C17—21no—
763C2×C4×C17—21no—
764C2×C4×C17—21no—
765C2×C4×C17—21no—
766C2×C4×C17—21no—
767C2×C4×C17—21no—
768C2×C4×C17—21no—
769C2×C4×C17—21no—
770C2×C4×C17—21no—
771C2×C4×C17—21no—
772C2×C4×C17—21no—
773C2×C4×C17—21no—
774C2×C4×C17—21no—
775C2×C4×C17—21no—
776C2×C4×C17—21no—
777C2×C4×C17—21no—
778C2×C4×C17—21no—
779C2×C4×C17—21no—
780C2×C4×C17—21no—
781C2×C4×C17—21no—
782C2×C4×C17—21no—
783C2×C4×C17—21no—
784C2×C4×C17—21no—
785C2×C4×C17—44no—
786C2×C4×C17—44no—
787C2×C4×C17—44no—
788C2×C4×C17C22×D412yes—
789C2×C4×C17C22×D412yes—
790C2×C4×C17C22×D412yes—
791C2×C4×C17C22×D412yes—
792C2×C4×C17C2×#4112yes—
793C22⋊D17—28no—
794C22⋊D17—28no—
795C22⋊D17—44no—
796C22⋊D17—44no—
797C22⋊D17—44no—
798C22⋊D17—44no—
799C2×Dic17—28no—
800C2×Dic17—21no—
801C2×Dic17—21no—
802C2×Dic17—21no—
803C2×Dic17—21no—
804C2×Dic17—21no—
805C2×Dic17—21no—
806C2×Dic17—21no—
807C2×Dic17—21no—
808C2×Dic17—21no—
809C2×Dic17—21no—
810C2×Dic17—21no—
811C2×Dic17—21no—
812C2×Dic17—21no—
813C2×Dic17—21no—
814C2×Dic17—21no—
815C2×Dic17—21no—
816C2×Dic17—21no—
817C2×Dic17—21no—
818C2×Dic17—21no—
819C2×Dic17—21no—
820C2×Dic17—21no—
821C2×Dic17—21no—
822C2×Dic17—21no—
823C2×Dic17—21no—
824C2×Dic17—21no—
825C2×Dic17—21no—
826C2×Dic17—21no—
827C2×Dic17—21no—
828C2×Dic17—21no—
829C2×Dic17—21no—
830C2×Dic17—21no—
831C2×Dic17—44no—
832C2×Dic17—44no—
833C2×Dic17—44no—
834C2×Dic17C22×D412yes—
835C2×Dic17C22×D412yes—
836C2×Dic17C22×D412yes—
837C2×Dic17C22×D412yes—
838C2×Dic17C2×#4112yes—
839D68—28no—
840D68—44no—
841D68—44no—
842C4×D17—28no—
843C4×D17—28no—
844C4×D17—28no—
845C4×D17—28no—
846C4×D17—28no—
847C4×D17—28no—
848C4×D17—28no—
849C4×D17—44no—
850C4×D17—44no—
851C4×D17—44no—
852C4×D17—44no—
853C4×D17—44no—
854C4×D17—44no—
855C4×D17—44no—
856C4×D17—44no—
857C4×D17—44no—
858C4×D17—44no—
859C4×D17—44no—
860C4×D17—44no—
861C4×D17—44no—
862C22×#123—171no—
863C22×#121—171no—
864C22×C4×D4—171no—
865C23×C4⋊C4—171no—
866#2443—171no—
867#2443—171no—
868#2443—171no—
869#2443—171no—
870#2443—171no—
871#2443—171no—
872#2443—171no—
873#2443—171no—
874#2443—171no—
875#2443—171no—
876#2443—171no—
877#2443—171no—
878#2443—171no—
879#2443—171no—
880#2443—171no—
881#2443D1711yescharacteristic, direct product factor
882C2×#399—171no—
883C2×#398—171no—
884C2×#397—171no—
885C2×#394—171no—
886C2×#388—171no—
887C2×#387—171no—
888C2×#386—171no—
889C2×#386—171no—
890C2×#386—171no—
891C2×#385—171no—
892C2×#385—171no—
893C22×C17—22no—
894C22×C17—22no—
895C22×C17—22no—
896C22×C17—22no—
897C22×C17—22no—
898C22×C17—22no—
899C22×C17—22no—
900C22×C17—22no—
901C22×C17—22no—
902C22×C17—41no—
903C22×C17—41no—
904C22×C17—41no—
905C22×C17—41no—
906C22×C17—41no—
907C22×C17—41no—
908C22×C17—41no—
909C22×C17—41no—
910C22×C17—41no—
911C22×C17—41no—
912C22×C17—41no—
913C22×C17C2×#12314yescomplemented
914C22×C17C23×D411yescharacteristic
915C22×C17C23×D411yescharacteristic
916C22×C17C22×#4111yescharacteristic
917C22×C17C22×#4111yescharacteristic
918C22×C17C22×#4111yescharacteristic
919C22×C17C2×H(5,𝔽2)11yescharacteristic
920C22×C17C2×2−1+411yescharacteristic
921C2×D17—22no—
922C2×D17—22no—
923C2×D17—22no—
924C2×D17—22no—
925C2×D17—22no—
926C2×D17—22no—
927C2×D17—232no—
928C2×D17—22no—
929C2×D17—22no—
930C2×D17—22no—
931C2×D17—41no—
932C2×D17—41no—
933C2×D17—41no—
934C2×D17—41no—
935C2×D17—416no—
936C2×D17—41no—
937C2×D17—41no—
938C2×D17—41no—
939C2×D17—41no—
940C2×D17—41no—
941C2×D17—41no—
942C2×D17—41no—
943C2×D17—88no—
944C2×D17C2×#12314yes—
945C2×D17C2×#12314yescomplemented
946C2×D17#52514yes—
947C2×D17#53914yes—
948C2×D17D4214yes—
949C2×D17#54714yes—
950C2×D17#54814yes—
951C2×D17#55314yes—
952C4×C17—22no—
953C4×C17—22no—
954C4×C17—22no—
955C4×C17—22no—
956C4×C17—22no—
957C4×C17—41no—
958C4×C17—41no—
959C4×C17—41no—
960C4×C17—41no—
961C4×C17—41no—
962C4×C17—41no—
963C4×C17—41no—
964Dic17—22no—
965Dic17—22no—
966Dic17—22no—
967Dic17—22no—
968Dic17—22no—
969Dic17—41no—
970Dic17—41no—
971Dic17—41no—
972Dic17—41no—
973Dic17—41no—
974Dic17—41no—
975Dic17—41no—
976C23×D4—171no—
977C23×D4—171no—
978C23×D4—171no—
979C24×C4—171no—
980C24×C4—171no—
981C24×C4—171no—
982C24×C4—171no—
983C2×#123—171no—
984C2×#123—171no—
985C2×#123—171no—
986C2×#123—171no—
987C2×#123—171no—
988C2×#123—171no—
989C2×#123—171no—
990C2×#123—348no—
991C2×#123C2×D1711yescharacteristic, complemented
992C2×#121—171no—
993C2×#121—171no—
994C2×#121—171no—
995C2×#121—171no—
996C2×#121—171no—
997C2×#121—171no—
998C2×#121—171no—
999C2×#121—348no—
1000C2×#121C2×D1711yescharacteristic
1001C2×C4×D4—171no—
1002C2×C4×D4—171no—
1003C2×C4×D4—171no—
1004C2×C4×D4—171no—
1005C2×C4×D4—171no—
1006C2×C4×D4—171no—
1007C2×C4×D4—171no—
1008C2×C4×D4—348no—
1009C2×C4×D4C2×D1711yescharacteristic, complemented
1010C22×C4⋊C4—171no—
1011C22×C4⋊C4—171no—
1012C22×C4⋊C4—171no—
1013C22×C4⋊C4—171no—
1014C22×C4⋊C4—171no—
1015C22×C4⋊C4—171no—
1016C22×C4⋊C4—171no—
1017C22×C4⋊C4—171no—
1018C22×C4⋊C4—171no—
1019C22×C4⋊C4—171no—
1020C22×C4⋊C4—171no—
1021C22×C4⋊C4—171no—
1022C22×C4⋊C4—171no—
1023C22×C4⋊C4—171no—
1024C22×C4⋊C4—171no—
1025C22×C4⋊C4—348no—
1026C22×C4⋊C4C2×D1711yescharacteristic, complemented
1027C22×C22⋊C4—171no—
1028C22×C22⋊C4—171no—
1029C22×C22⋊C4—171no—
1030C22×C22⋊C4—171no—
1031C22×C22⋊C4—171no—
1032C22×C22⋊C4—171no—
1033C22×C22⋊C4—171no—
1034C22×C22⋊C4—171no—
1035C22×C22⋊C4—171no—
1036C22×C22⋊C4—171no—
1037C22×C22⋊C4—171no—
1038C22×C42—171no—
1039#399—171no—
1040#399—171no—
1041#399—171no—
1042#399—171no—
1043#399—171no—
1044#399—171no—
1045#399—171no—
1046#399C2×D1711yescharacteristic, complemented
1047#398—171no—
1048#398—171no—
1049#398—171no—
1050#398—171no—
1051#398—171no—
1052#398—171no—
1053#398—171no—
1054#398C2×D1711yescharacteristic, complemented
1055#397—171no—
1056#397—171no—
1057#397—171no—
1058#397—171no—
1059#397—171no—
1060#397—171no—
1061#397—171no—
1062#397C2×D1711yescharacteristic, complemented
1063#394—171no—
1064#394—171no—
1065#394—171no—
1066#394—171no—
1067#394—171no—
1068#394—171no—
1069#394—171no—
1070#394C2×D1711yescharacteristic, complemented
1071#388—171no—
1072#388—171no—
1073#388—171no—
1074#388—171no—
1075#388—171no—
1076#388—171no—
1077#388—171no—
1078#388C2×D1711yescharacteristic, complemented
1079#387—171no—
1080#387—171no—
1081#387—171no—
1082#387—171no—
1083#387—171no—
1084#387—171no—
1085#387—171no—
1086#387C2×D1711yescharacteristic, complemented
1087#386—171no—
1088#386—171no—
1089#386—171no—
1090#386—171no—
1091#386—171no—
1092#386—171no—
1093#386—171no—
1094#386—171no—
1095#386—171no—
1096#386—171no—
1097#386—171no—
1098#386—171no—
1099#386—171no—
1100#386—171no—
1101#386—171no—
1102#386—171no—
1103#386—171no—
1104#386—171no—
1105#386—171no—
1106#386—171no—
1107#386—171no—
1108#386C2×D1711yescharacteristic, complemented
1109#386C2×D1711yescharacteristic, complemented
1110#386C2×D1711yescharacteristic, complemented
1111#385—171no—
1112#385—171no—
1113#385—171no—
1114#385—171no—
1115#385—171no—
1116#385—171no—
1117#385—171no—
1118#385—171no—
1119#385—171no—
1120#385—171no—
1121#385—171no—
1122#385—171no—
1123#385—171no—
1124#385—171no—
1125#385C2×D1711yescharacteristic, complemented
1126#385C2×D1711yescharacteristic, complemented
1127C2×#95—171no—
1128C2×#95—171no—
1129C2×#95—171no—
1130C2×#95—171no—
1131C2×#95—171no—
1132C2×#95—171no—
1133C2×#95—171no—
1134C2×#95—171no—
1135C2×C17—24no—
1136C2×C17—42no—
1137C2×C17—81no—
1138C2×C17C22×#12311yescharacteristic
1139C2×C17C2×#52511yescharacteristic
1140C2×C17C2×#53911yescharacteristic
1141C2×C17C2×D4211yescharacteristic
1142C2×C17C2×#54711yescharacteristic
1143C2×C17C2×#54811yescharacteristic
1144C2×C17C2×#55311yescharacteristic
1145D17—24no—
1146D17—42no—
1147D17—81no—
1148D17#244318yesdirect product factor
1149C25—171no—
1150C25—171no—
1151C25—171no—
1152C22×D4—171no—
1153C22×D4—171no—
1154C22×D4—178no—
1155C22×D4—171no—
1156C22×D4—171no—
1157C22×D4—171no—
1158C22×D4—171no—
1159C22×D4—171no—
1160C22×D4—171no—
1161C22×D4—171no—
1162C22×D4—344no—
1163C22×D4—344no—
1164C22×D4—344no—
1165C22×D4—344no—
1166C22×D4—344no—
1167C22×D4—344no—
1168C22×D4—344no—
1169C22×D4—682no—
1170C22×D4C22×D1711yescharacteristic
1171C22×D4C22×D1711yescharacteristic
1172C22×D4C22×D1711yescharacteristic
1173C23×C4—171no—
1174C23×C4—171no—
1175C23×C4—171no—
1176C23×C4—171no—
1177C23×C4—171no—
1178C23×C4—171no—
1179C23×C4—171no—
1180C23×C4—171no—
1181C23×C4—171no—
1182C23×C4—171no—
1183C23×C4—171no—
1184C23×C4—171no—
1185C23×C4—171no—
1186C23×C4—171no—
1187C23×C4—171no—
1188C23×C4—171no—
1189C23×C4—171no—
1190C23×C4—171no—
1191C23×C4—171no—
1192C23×C4—171no—
1193C23×C4—171no—
1194C23×C4—171no—
1195C23×C4—171no—
1196C23×C4—171no—
1197C23×C4—344no—
1198C23×C4—344no—
1199C23×C4—344no—
1200C23×C4—344no—
1201C23×C4—344no—
1202C23×C4—344no—
1203C23×C4—344no—
1204C23×C4—344no—
1205C23×C4—344no—
1206C23×C4—682no—
1207C23×C4—682no—
1208C23×C4—682no—
1209C23×C4C22×D1711yescharacteristic
1210C23×C4C22×D1711yescharacteristic
1211C23×C4C22×D1711yescharacteristic
1212C23×C4C22×D1711yescharacteristic
1213#123—24no—
1214#123—344no—
1215#123—344no—
1216#123—344no—
1217#123—344no—
1218#123—344no—
1219#123—344no—
1220#123—344no—
1221#121—24no—
1222#121—344no—
1223#121—344no—
1224#121—344no—
1225#121—344no—
1226#121—344no—
1227#121—344no—
1228#121—344no—
1229C4×D4—24no—
1230C4×D4—344no—
1231C4×D4—344no—
1232C4×D4—344no—
1233C4×D4—344no—
1234C4×D4—344no—
1235C4×D4—344no—
1236C4×D4—344no—
1237C2×C4⋊C4—24no—
1238C2×C4⋊C4—171no—
1239C2×C4⋊C4—171no—
1240C2×C4⋊C4—171no—
1241C2×C4⋊C4—178no—
1242C2×C4⋊C4—171no—
1243C2×C4⋊C4—171no—
1244C2×C4⋊C4—171no—
1245C2×C4⋊C4—171no—
1246C2×C4⋊C4—171no—
1247C2×C4⋊C4—171no—
1248C2×C4⋊C4—171no—
1249C2×C4⋊C4—171no—
1250C2×C4⋊C4—171no—
1251C2×C4⋊C4—171no—
1252C2×C4⋊C4—171no—
1253C2×C4⋊C4—171no—
1254C2×C4⋊C4—171no—
1255C2×C4⋊C4—171no—
1256C2×C4⋊C4—171no—
1257C2×C4⋊C4—171no—
1258C2×C4⋊C4—171no—
1259C2×C4⋊C4—171no—
1260C2×C4⋊C4—171no—
1261C2×C4⋊C4—171no—
1262C2×C4⋊C4—171no—
1263C2×C4⋊C4—344no—
1264C2×C4⋊C4—344no—
1265C2×C4⋊C4—344no—
1266C2×C4⋊C4—344no—
1267C2×C4⋊C4—344no—
1268C2×C4⋊C4—344no—
1269C2×C4⋊C4—344no—
1270C2×C4⋊C4—344no—
1271C2×C4⋊C4—344no—
1272C2×C4⋊C4—344no—
1273C2×C4⋊C4—344no—
1274C2×C4⋊C4—344no—
1275C2×C4⋊C4—344no—
1276C2×C4⋊C4—682no—
1277C2×C4⋊C4C22×D1711yescharacteristic
1278C2×C4⋊C4C22×D1711yescharacteristic
1279C2×C4⋊C4C22×D1711yescharacteristic
1280C2×C4⋊C4C22×D1711yescharacteristic
1281C2×C4⋊C4C22×D1711yescharacteristic
1282C2×C4⋊C4C22×D1711yescharacteristic
1283C2×C4⋊C4C22×D1711yescharacteristic
1284C2×C4⋊C4C22×D1711yescharacteristic
1285C2×C22⋊C4—171no—
1286C2×C22⋊C4—171no—
1287C2×C22⋊C4—171no—
1288C2×C22⋊C4—171no—
1289C2×C22⋊C4—171no—
1290C2×C22⋊C4—171no—
1291C2×C22⋊C4—171no—
1292C2×C22⋊C4—171no—
1293C2×C22⋊C4—171no—
1294C2×C22⋊C4—171no—
1295C2×C22⋊C4—171no—
1296C2×C22⋊C4—171no—
1297C2×C22⋊C4—171no—
1298C2×C22⋊C4—171no—
1299C2×C22⋊C4—171no—
1300C2×C22⋊C4—171no—
1301C2×C22⋊C4—171no—
1302C2×C22⋊C4—171no—
1303C2×C22⋊C4—171no—
1304C2×C22⋊C4—171no—
1305C2×C22⋊C4—171no—
1306C2×C22⋊C4—171no—
1307C2×C22⋊C4—171no—
1308C2×C22⋊C4—171no—
1309C2×C22⋊C4—171no—
1310C2×C22⋊C4—171no—
1311C2×C22⋊C4—171no—
1312C2×C22⋊C4—171no—
1313C2×C22⋊C4—171no—
1314C2×C22⋊C4—171no—
1315C2×C22⋊C4—171no—
1316C2×C22⋊C4—171no—
1317C2×C22⋊C4—171no—
1318C2×C22⋊C4—344no—
1319C2×C22⋊C4—344no—
1320C2×C22⋊C4—344no—
1321C2×C22⋊C4—344no—
1322C2×C22⋊C4—344no—
1323C2×C22⋊C4—344no—
1324C2×C22⋊C4—344no—
1325C2×C22⋊C4—344no—
1326C2×C22⋊C4—344no—
1327C2×C22⋊C4—344no—
1328C2×C22⋊C4—682no—
1329C2×C22⋊C4C22×D1711yescharacteristic
1330C2×C22⋊C4C22×D1711yescharacteristic
1331C2×C22⋊C4C22×D1711yescharacteristic
1332C2×C22⋊C4C22×D1711yescharacteristic
1333C2×C22⋊C4C22×D1711yescharacteristic
1334C2×C22⋊C4C22×D1711yescharacteristic
1335C2×C22⋊C4C22×D1711yescharacteristic
1336C2×C22⋊C4C22×D1711yescharacteristic
1337C2×C22⋊C4C22×D1711yescharacteristic
1338C2×C22⋊C4C22×D1711yescharacteristic
1339C2×C22⋊C4C22×D1711yescharacteristic
1340C2×C42—171no—
1341C2×C42—171no—
1342C2×C42—171no—
1343C2×C42—344no—
1344C2×C42C22×D1711yescharacteristic
1345#95—171no—
1346#95—171no—
1347#95—171no—
1348#95—171no—
1349#95—171no—
1350#95—171no—
1351#95—171no—
1352#95—171no—
1353#95—171no—
1354#95—171no—
1355#95—171no—
1356#95—171no—
1357#95—171no—
1358#95—171no—
1359#95—171no—
1360#95—171no—
1361#95—171no—
1362#95—171no—
1363#95—171no—
1364#95—171no—
1365#95—171no—
1366#95—171no—
1367#95—171no—
1368#95—171no—
1369#95C22×D1711yescharacteristic
1370#95C22×D1711yescharacteristic
1371#95C22×D1711yescharacteristic
1372#95C22×D1711yescharacteristic
1373#95C22×D1711yescharacteristic
1374#95C22×D1711yescharacteristic
1375#95C22×D1711yescharacteristic
1376#95C22×D1711yescharacteristic
1377C17C2×#244311yescharacteristic, complemented, Sylow
1378C24—171no—
1379C24—174no—
1380C24—174no—
1381C24—174no—
1382C24—171no—
1383C24—174no—
1384C24—171no—
1385C24—171no—
1386C24—342no—
1387C24—342no—
1388C24—342no—
1389C24—342no—
1390C24—342no—
1391C24—342no—
1392C24—342no—
1393C24—342no—
1394C24—342no—
1395C24—342no—
1396C24—342no—
1397C24—342no—
1398C24—342no—
1399C24—342no—
1400C24—342no—
1401C24—342no—
1402C24—342no—
1403C24C23×D1711yescharacteristic
1404C24C23×D1711yescharacteristic
1405C24C23×D1711yescharacteristic
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—22no—
1411C2×D4—22no—
1412C2×D4—22no—
1413C2×D4—41no—
1414C2×D4—174no—
1415C2×D4—174no—
1416C2×D4—174no—
1417C2×D4—342no—
1418C2×D4—342no—
1419C2×D4—342no—
1420C2×D4—342no—
1421C2×D4—342no—
1422C2×D4—342no—
1423C2×D4—342no—
1424C2×D4—342no—
1425C2×D4—3432no—
1426C2×D4—342no—
1427C2×D4—342no—
1428C2×D4—342no—
1429C2×D4—342no—
1430C2×D4—342no—
1431C2×D4—342no—
1432C2×D4—342no—
1433C2×D4—342no—
1434C2×D4—342no—
1435C2×D4—342no—
1436C2×D4—342no—
1437C2×D4—342no—
1438C2×D4—342no—
1439C2×D4—681no—
1440C2×D4—6816no—
1441C2×D4—681no—
1442C2×D4—681no—
1443C2×D4—6816no—
1444C2×D4D4×D1714yes—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—171no—
1458C22×C4—171no—
1459C22×C4—171no—
1460C22×C4—171no—
1461C22×C4—171no—
1462C22×C4—174no—
1463C22×C4—174no—
1464C22×C4—174no—
1465C22×C4—174no—
1466C22×C4—174no—
1467C22×C4—171no—
1468C22×C4—171no—
1469C22×C4—171no—
1470C22×C4—171no—
1471C22×C4—171no—
1472C22×C4—171no—
1473C22×C4—171no—
1474C22×C4—342no—
1475C22×C4—342no—
1476C22×C4—342no—
1477C22×C4—342no—
1478C22×C4—342no—
1479C22×C4—342no—
1480C22×C4—342no—
1481C22×C4—342no—
1482C22×C4—342no—
1483C22×C4—342no—
1484C22×C4—342no—
1485C22×C4—342no—
1486C22×C4—342no—
1487C22×C4—342no—
1488C22×C4—342no—
1489C22×C4—342no—
1490C22×C4—342no—
1491C22×C4—3432no—
1492C22×C4—342no—
1493C22×C4—342no—
1494C22×C4—342no—
1495C22×C4—342no—
1496C22×C4—342no—
1497C22×C4—342no—
1498C22×C4—342no—
1499C22×C4—342no—
1500C22×C4—342no—
1501C22×C4—342no—
1502C22×C4—342no—
1503C22×C4—342no—
1504C22×C4—342no—
1505C22×C4—342no—
1506C22×C4—342no—
1507C22×C4—342no—
1508C22×C4—342no—
1509C22×C4—342no—
1510C22×C4—342no—
1511C22×C4—342no—
1512C22×C4—342no—
1513C22×C4—342no—
1514C22×C4—342no—
1515C22×C4—342no—
1516C22×C4—342no—
1517C22×C4—342no—
1518C22×C4—342no—
1519C22×C4—342no—
1520C22×C4—342no—
1521C22×C4—342no—
1522C22×C4—342no—
1523C22×C4—342no—
1524C22×C4—342no—
1525C22×C4—342no—
1526C22×C4—342no—
1527C22×C4—342no—
1528C22×C4—342no—
1529C22×C4—342no—
1530C22×C4—342no—
1531C22×C4—342no—
1532C22×C4—342no—
1533C22×C4—681no—
1534C22×C4—681no—
1535C22×C4—681no—
1536C22×C4—681no—
1537C22×C4—681no—
1538C22×C4—681no—
1539C22×C4—6816no—
1540C22×C4—6816no—
1541C22×C4—6816no—
1542C22×C4—681no—
1543C22×C4—681no—
1544C22×C4—681no—
1545C22×C4C23×D1711yescharacteristic
1546C22×C4C23×D1711yescharacteristic
1547C22×C4C23×D1711yescharacteristic
1548C22×C4C23×D1711yescharacteristic
1549C22×C4C23×D1711yescharacteristic
1550C22×C4C23×D1711yescharacteristic
1551C22×C4C23×D1711yescharacteristic
1552C22×C4C23×D1711yescharacteristic
1553C22×C4C23×D1711yescharacteristic
1554C22×C4C23×D1711yescharacteristic
1555C22×C4C23×D1711yescharacteristic
1556C22×C4C23×D1711yescharacteristic
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—22no—
1560C4⋊C4—22no—
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—41no—
1564C4⋊C4—174no—
1565C4⋊C4—174no—
1566C4⋊C4—174no—
1567C4⋊C4—342no—
1568C4⋊C4—342no—
1569C4⋊C4—342no—
1570C4⋊C4—342no—
1571C4⋊C4—342no—
1572C4⋊C4—342no—
1573C4⋊C4—342no—
1574C4⋊C4—342no—
1575C4⋊C4—342no—
1576C4⋊C4—342no—
1577C4⋊C4—342no—
1578C4⋊C4—342no—
1579C4⋊C4—342no—
1580C4⋊C4—342no—
1581C4⋊C4—342no—
1582C4⋊C4—342no—
1583C4⋊C4—342no—
1584C4⋊C4—342no—
1585C4⋊C4—681no—
1586C4⋊C4—681no—
1587C4⋊C4—681no—
1588C4⋊C4D4×D1714yescomplemented
1589C22⋊C4—22no—
1590C22⋊C4—22no—
1591C22⋊C4—22no—
1592C22⋊C4—22no—
1593C22⋊C4—22no—
1594C22⋊C4—22no—
1595C22⋊C4—22no—
1596C22⋊C4—22no—
1597C22⋊C4—22no—
1598C22⋊C4—22no—
1599C22⋊C4—41no—
1600C22⋊C4—342no—
1601C22⋊C4—342no—
1602C22⋊C4—342no—
1603C22⋊C4—342no—
1604C22⋊C4—342no—
1605C22⋊C4—342no—
1606C22⋊C4—342no—
1607C22⋊C4—342no—
1608C22⋊C4—342no—
1609C22⋊C4—342no—
1610C22⋊C4—342no—
1611C22⋊C4—342no—
1612C22⋊C4—342no—
1613C22⋊C4—342no—
1614C22⋊C4—342no—
1615C22⋊C4—342no—
1616C22⋊C4—342no—
1617C22⋊C4—342no—
1618C22⋊C4—342no—
1619C22⋊C4—342no—
1620C22⋊C4—342no—
1621C22⋊C4—342no—
1622C22⋊C4—342no—
1623C22⋊C4—342no—
1624C22⋊C4—342no—
1625C22⋊C4—342no—
1626C22⋊C4—342no—
1627C22⋊C4—342no—
1628C22⋊C4—342no—
1629C22⋊C4—342no—
1630C22⋊C4—681no—
1631C22⋊C4—681no—
1632C22⋊C4—681no—
1633C42—22no—
1634C42—342no—
1635C42—342no—
1636C42—342no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—172no—
1655C23—172no—
1656C23—172no—
1657C23—172no—
1658C23—172no—
1659C23—172no—
1660C23—172no—
1661C23—1716no—
1662C23—172no—
1663C23—172no—
1664C23—172no—
1665C23—172no—
1666C23—348no—
1667C23—348no—
1668C23—348no—
1669C23—348no—
1670C23—348no—
1671C23—348no—
1672C23—348no—
1673C23—348no—
1674C23—348no—
1675C23—341no—
1676C23—341no—
1677C23—341no—
1678C23—341no—
1679C23—341no—
1680C23—341no—
1681C23—341no—
1682C23—341no—
1683C23—341no—
1684C23—341no—
1685C23—341no—
1686C23—341no—
1687C23—341no—
1688C23—341no—
1689C23—341no—
1690C23—341no—
1691C23—341no—
1692C23—684no—
1693C23—684no—
1694C23—684no—
1695C23—684no—
1696C23—684no—
1697C23—684no—
1698C23—684no—
1699C23—684no—
1700C23—684no—
1701C23—684no—
1702C23—684no—
1703C23C2×D4×D1712yes—
1704C23C2×D4×D1712yes—
1705C23#41×D1712yes—
1706C23#41×D1712yes—
1707C23C24×D1711yescharacteristic
1708D4—28no—
1709D4—44no—
1710D4—44no—
1711D4—348no—
1712D4—348no—
1713D4—348no—
1714D4—684no—
1715D4—684no—
1716D4—684no—
1717D4—684no—
1718D4—684no—
1719D4—684no—
1720C2×C4—28no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—172no—
1756C2×C4—172no—
1757C2×C4—172no—
1758C2×C4—172no—
1759C2×C4—172no—
1760C2×C4—348no—
1761C2×C4—348no—
1762C2×C4—348no—
1763C2×C4—348no—
1764C2×C4—348no—
1765C2×C4—348no—
1766C2×C4—348no—
1767C2×C4—348no—
1768C2×C4—341no—
1769C2×C4—341no—
1770C2×C4—341no—
1771C2×C4—341no—
1772C2×C4—341no—
1773C2×C4—341no—
1774C2×C4—341no—
1775C2×C4—341no—
1776C2×C4—341no—
1777C2×C4—341no—
1778C2×C4—341no—
1779C2×C4—341no—
1780C2×C4—341no—
1781C2×C4—341no—
1782C2×C4—341no—
1783C2×C4—341no—
1784C2×C4—341no—
1785C2×C4—341no—
1786C2×C4—341no—
1787C2×C4—341no—
1788C2×C4—341no—
1789C2×C4—341no—
1790C2×C4—341no—
1791C2×C4—341no—
1792C2×C4—341no—
1793C2×C4—341no—
1794C2×C4—341no—
1795C2×C4—341no—
1796C2×C4—341no—
1797C2×C4—341no—
1798C2×C4—341no—
1799C2×C4—684no—
1800C2×C4—684no—
1801C2×C4—684no—
1802C2×C4—684no—
1803C2×C4—684no—
1804C2×C4—684no—
1805C2×C4—684no—
1806C2×C4—684no—
1807C2×C4—684no—
1808C2×C4—684no—
1809C2×C4—684no—
1810C2×C4—684no—
1811C2×C4—684no—
1812C2×C4—684no—
1813C2×C4—684no—
1814C2×C4—684no—
1815C2×C4C2×D4×D1712yes—
1816C2×C4C2×D4×D1712yes—
1817C2×C4C2×D4×D1712yes—
1818C2×C4C2×D4×D1712yes—
1819C2×C4#41×D1712yes—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—22no—
1824C22—22no—
1825C22—22no—
1826C22—22no—
1827C22—22no—
1828C22—22no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—174no—
1841C22—174no—
1842C22—174no—
1843C22—174no—
1844C22—174no—
1845C22—174no—
1846C22—174no—
1847C22—174no—
1848C22—3432no—
1849C22—342no—
1850C22—342no—
1851C22—342no—
1852C22—342no—
1853C22—342no—
1854C22—342no—
1855C22—342no—
1856C22—342no—
1857C22—342no—
1858C22—6816no—
1859C22—681no—
1860C22—681no—
1861C22—681no—
1862C22—681no—
1863C22—681no—
1864C22—681no—
1865C22—681no—
1866C22—681no—
1867C22—681no—
1868C22—681no—
1869C22—681no—
1870C22—1368no—
1871C22#123×D1714yescomplemented
1872C22C22×D4×D1711yescharacteristic
1873C22C22×D4×D1711yescharacteristic
1874C22C2×#41×D1711yescharacteristic
1875C22C2×#41×D1711yescharacteristic
1876C22C2×#41×D1711yescharacteristic
1877C22H(5,𝔽2)×D1711yescharacteristic
1878C222−1+4×D1711yescharacteristic
1879C4—22no—
1880C4—22no—
1881C4—22no—
1882C4—22no—
1883C4—22no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—342no—
1892C4—342no—
1893C4—342no—
1894C4—342no—
1895C4—342no—
1896C4—681no—
1897C4—681no—
1898C4—681no—
1899C4—681no—
1900C4—681no—
1901C4—681no—
1902C4—681no—
1903C2—24no—
1904C2—42no—
1905C2—81no—
1906C2—178no—
1907C2—344no—
1908C2—682no—
1909C2—1361no—
1910C2C2×#123×D1711yescharacteristic
1911C2D17×#52511yescharacteristic
1912C2D17×#53911yescharacteristic
1913C2D42×D1711yescharacteristic
1914C2D17×#54711yescharacteristic
1915C2D17×#54811yescharacteristic
1916C2D17×#55311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2443C2
prime radicalC2×#121×D17C2
hypercenter#2443D17
hypocenterC17C2×#2443
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
1. C2×#123×D17C2semidirect
3. C2×C4×D4×D17C2semidirect
4. C22×C4⋊C4×D17C2semidirect
5. #14532526C2semidirect
6. #14532525C2semidirect
7. #14532524C2semidirect
8. #14532523C2semidirect
9. #14532522C2semidirect
10. #14532521C2semidirect
11. #14532520C2semidirect
12. #14532519C2semidirect
13. #14532518C2semidirect
14. #14532517C2semidirect
15. #14532516C2semidirect
16. #14532515C2semidirect
17. #14532514C2semidirect
18. #14532513C2semidirect
19. #14532512C2semidirect
20. D17×#399C2semidirect
21. D17×#398C2semidirect
22. D17×#397C2semidirect
23. D17×#394C2semidirect
24. D17×#388C2semidirect
25. D17×#387C2semidirect
26. D17×#386C2semidirect
27. D17×#386C2semidirect
28. D17×#386C2semidirect
29. D17×#385C2semidirect
30. D17×#385C2semidirect
31. C17×#2443C2semidirect
39. C2×#10587580C22semidirect
40. C2×#10587580C22semidirect
41. C2×#10587572C22semidirect
42. C2×#10587615C22semidirect
43. C2×#10587569C22semidirect
44. C2×#10587569C22semidirect
45. C2×#10587621C22semidirect
55. C2×C4×D68C22semidirect
56. C2×D4×Dic17C22semidirect
57. C2×#10587579C22semidirect
58. C2×C4×C22⋊D17C22semidirect
59. C2×C4×C22⋊D17C22semidirect
60. C2×#10587567C22semidirect
61. C2×#10587567C22semidirect
63. C22×C4⋊Dic17C22semidirect
64. C22×#63225C22semidirect
65. C22×#63225C22semidirect
75. C2×C4⋊C4×D17C22semidirect
76. C2×C4⋊C4×D17C22semidirect
77. C2×C4⋊C4×D17C22semidirect
78. C2×C4⋊C4×D17C22semidirect
91. #11762746C22semidirect
92. #11762745C22semidirect
93. #11762745C22semidirect
94. #11762745C22semidirect
95. #11762744C22semidirect
96. #11762744C22semidirect
97. #11762744C22semidirect
98. #11762743C22semidirect
99. #11762743C22semidirect
100. #11762742C22semidirect
101. #11762742C22semidirect
102. #11762741C22semidirect
103. #11762740C22semidirect
104. #11762739C22semidirect
105. #11762738C22semidirect
106. #11762738C22semidirect
107. #11762737C22semidirect
108. #11762737C22semidirect
109. #11762736C22semidirect
110. #11762735C22semidirect
111. #11762734C22semidirect
112. #11762727C22semidirect
113. #11762726C22semidirect
114. #11762725C22semidirect
115. #11762725C22semidirect
116. #11762724C22semidirect
117. #11762724C22semidirect
118. #11762723C22semidirect
119. #11762703C22semidirect
120. #11762702C22semidirect
121. #11762701C22semidirect
122. #11762700C22semidirect
123. #11762699C22semidirect
124. #11762698C22semidirect
125. #11762697C22semidirect
126. #11762696C22semidirect
127. #11762695C22semidirect
128. #11762694C22semidirect
129. #11762693C22semidirect
130. #11762692C22semidirect
131. #11762691C22semidirect
132. #11762690C22semidirect
133. #11762689C22semidirect
134. #11762689C22semidirect
135. #11762689C22semidirect
136. #11762688C22semidirect
137. #11762688C22semidirect
138. #11762688C22semidirect
139. #11762687C22semidirect
140. #11762687C22semidirect
141. #11762687C22semidirect
142. #11762687C22semidirect
143. #11762687C22semidirect
144. #11762687C22semidirect
145. #11762686C22semidirect
146. #11762686C22semidirect
147. #11762686C22semidirect
148. #11762685C22semidirect
149. #11762685C22semidirect
150. #11762685C22semidirect
151. #11762685C22semidirect
152. #11762685C22semidirect
153. #11762685C22semidirect
154. #11762684C22semidirect
155. #11762684C22semidirect
156. #11762683C22semidirect
157. #11762683C22semidirect
158. #11762683C22semidirect
159. #11762683C22semidirect
160. #11762682C22semidirect
161. #11762682C22semidirect
162. #11762681C22semidirect
163. #11762681C22semidirect
164. #11762680C22semidirect
165. #11762680C22semidirect
166. #11762680C22semidirect
167. #11762680C22semidirect
176. C2×C17×#123C22semidirect
178. C2×C4×D4×C17C22semidirect
179. C22×C4⋊C4×C17C22semidirect
180. C17×#399C22semidirect
181. C17×#398C22semidirect
182. C17×#397C22semidirect
183. C17×#394C22semidirect
184. C17×#388C22semidirect
185. C17×#387C22semidirect
186. C17×#386C22semidirect
187. C17×#386C22semidirect
188. C17×#386C22semidirect
189. C17×#385C22semidirect
190. C17×#385C22semidirect
366. C4⋊C4×D17D4semidirect
605. C4⋊C4×C17C2×D4semidirect
658. C4⋊Dic17C2×D4semidirect
673. #63225C2×D4semidirect
674. #63225C2×D4semidirect
738. C22×D17#123semidirect
881. #2443D17direct (N × H)
913. C22×C17C2×#123semidirect
945. C2×D17C2×#123semidirect
991. C2×#123C2×D17semidirect
1009. C2×C4×D4C2×D17semidirect
1026. C22×C4⋊C4C2×D17semidirect
1046. #399C2×D17semidirect
1054. #398C2×D17semidirect
1062. #397C2×D17semidirect
1070. #394C2×D17semidirect
1078. #388C2×D17semidirect
1086. #387C2×D17semidirect
1108. #386C2×D17semidirect
1109. #386C2×D17semidirect
1110. #386C2×D17semidirect
1125. #385C2×D17semidirect
1126. #385C2×D17semidirect
1148. D17#2443direct (N × H)
1377. C17C2×#2443semidirect
1588. C4⋊C4D4×D17semidirect
1871. C22#123×D17semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D172
C2×#121×D172
C2×C4×D4×D172
C22×C4⋊C4×D172
#145325262
#145325252
#145325242
#145325232
#145325222
#145325212
#145325202
#145325192
#145325182
#145325172
#145325162
#145325152
#145325142
#145325132
#145325122
D17×#3992
D17×#3982
D17×#3972
D17×#3942
D17×#3882
D17×#3872
D17×#3862
D17×#3852
C17×#24432
C2×#244317