Finite Group Databasebeta

← D17×#2419 #17202022

Subgroups — D17×#2419 #17202022

Order 4352.

3222 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D17C211yesmaximal, characteristic
2C2×C4×D4×D17C211yesmaximal, characteristic
3#14532268C211yesmaximal, characteristic, complemented
4#14532267C211yesmaximal, characteristic, complemented
5#14532266C211yesmaximal, characteristic, complemented
6#14532265C211yesmaximal, characteristic, complemented
7#14532264C211yesmaximal, characteristic, complemented
8#14532263C211yesmaximal, characteristic, complemented
9#14532262C211yesmaximal, characteristic, complemented
10#14532261C211yesmaximal, characteristic, complemented
11#14532260C211yesmaximal, characteristic, complemented
12#14532259C211yesmaximal, characteristic, complemented
13#14532258C211yesmaximal, characteristic, complemented
14#14532257C211yesmaximal, characteristic, complemented
15#14532256C211yesmaximal, characteristic, complemented
16#14532255C211yesmaximal, characteristic, complemented
17#14532254C211yesmaximal, characteristic, complemented
18D17×#400C211yesmaximal, characteristic, complemented
19D17×#398C211yesmaximal, characteristic, complemented
20D17×#397C211yesmaximal, characteristic, complemented
21D17×#397C211yesmaximal, characteristic, complemented
22D17×#387C211yesmaximal, characteristic, complemented
23D17×#387C211yesmaximal, characteristic, complemented
24D17×#386C211yesmaximal, characteristic
25D17×#385C211yesmaximal, characteristic, complemented
26D17×#385C211yesmaximal, characteristic, complemented
27D17×#381C211yesmaximal, characteristic, complemented
28D17×#381C211yesmaximal, characteristic, complemented
29D17×#380C211yesmaximal, characteristic, complemented
30C2×#95×D17C211yesmaximal, characteristic, complemented
31C17×#2419C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C23×C4×D17C2211yescharacteristic
34C23×C4×D17C2211yescharacteristic
35C23×C4×D17C2211yescharacteristic
36C23×C4×D17C2211yescharacteristic
37C2×#10587580C2211yescharacteristic
38C2×#10587580C2211yescharacteristic
39C2×#10587572C2211yescharacteristic
40C2×#10587615C2211yescharacteristic
41C2×#10587569C2211yescharacteristic
42C2×#10587569C2211yescharacteristic
43C2×#10587621C2211yescharacteristic
44#123×D17—28no—
45C2×C4×D68C2211yescharacteristic
46C2×D4×Dic17C2211yescharacteristic
47C2×#10587579C2211yescharacteristic
48C2×C4×C22⋊D17C2211yescharacteristic
49C2×C4×C22⋊D17C2211yescharacteristic
50C2×#10587567C2211yescharacteristic
51C2×#10587567C2211yescharacteristic
52C4×D4×D17—28no—
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×C42×D17C2211yescharacteristic
69#11762751C2211yescharacteristic, complemented
70#11762751C2211yescharacteristic, complemented
71#11762750C2211yescharacteristic, complemented
72#11762750C2211yescharacteristic, complemented
73#11762749C2211yescharacteristic, complemented
74#11762748C2211yescharacteristic, complemented
75#11762747C2211yescharacteristic, complemented
76#11762743C2211yescharacteristic, complemented
77#11762743C2211yescharacteristic, complemented
78#11762742C2211yescharacteristic, complemented
79#11762742C2211yescharacteristic, complemented
80#11762741C2211yescharacteristic, complemented
81#11762740C2211yescharacteristic, complemented
82#11762739C2211yescharacteristic, complemented
83#11762738C2211yescharacteristic, complemented
84#11762738C2211yescharacteristic, complemented
85#11762738C2211yescharacteristic, complemented
86#11762738C2211yescharacteristic, complemented
87#11762737C2211yescharacteristic, complemented
88#11762737C2211yescharacteristic, complemented
89#11762737C2211yescharacteristic, complemented
90#11762737C2211yescharacteristic, complemented
91#11762736C2211yescharacteristic, complemented
92#11762736C2211yescharacteristic, complemented
93#11762735C2211yescharacteristic, complemented
94#11762735C2211yescharacteristic, complemented
95#11762734C2211yescharacteristic, complemented
96#11762734C2211yescharacteristic, complemented
97#11762696C2211yescharacteristic, complemented
98#11762696C2211yescharacteristic, complemented
99#11762695C2211yescharacteristic, complemented
100#11762695C2211yescharacteristic, complemented
101#11762694C2211yescharacteristic, complemented
102#11762694C2211yescharacteristic, complemented
103#11762693C2211yescharacteristic, complemented
104#11762693C2211yescharacteristic, complemented
105#11762692C2211yescharacteristic, complemented
106#11762692C2211yescharacteristic, complemented
107#11762691C2211yescharacteristic, complemented
108#11762691C2211yescharacteristic, complemented
109#11762690C2211yescharacteristic, complemented
110#11762690C2211yescharacteristic, complemented
111#11762689C2211yescharacteristic
112#11762688C2211yescharacteristic
113#11762687C2211yescharacteristic
114#11762687C2211yescharacteristic
115#11762686C2211yescharacteristic
116#11762685C2211yescharacteristic
117#11762685C2211yescharacteristic
118#11762684C2211yescharacteristic, complemented
119#11762684C2211yescharacteristic, complemented
120#11762683C2211yescharacteristic, complemented
121#11762683C2211yescharacteristic, complemented
122#11762683C2211yescharacteristic, complemented
123#11762683C2211yescharacteristic, complemented
124#11762682C2211yescharacteristic, complemented
125#11762682C2211yescharacteristic, complemented
126#11762681C2211yescharacteristic, complemented
127#11762681C2211yescharacteristic, complemented
128#11762680C2211yescharacteristic, complemented
129#11762680C2211yescharacteristic, complemented
130#11762680C2211yescharacteristic, complemented
131#11762680C2211yescharacteristic, complemented
132#11762672C2211yescharacteristic, complemented
133#11762672C2211yescharacteristic, complemented
134#11762671C2211yescharacteristic, complemented
135#11762671C2211yescharacteristic, complemented
136#11762671C2211yescharacteristic, complemented
137#11762671C2211yescharacteristic, complemented
138#11762671C2211yescharacteristic, complemented
139#11762671C2211yescharacteristic, complemented
140#11762671C2211yescharacteristic, complemented
141#11762671C2211yescharacteristic, complemented
142#11762670C2211yescharacteristic, complemented
143#11762670C2211yescharacteristic, complemented
144#11762670C2211yescharacteristic, complemented
145#11762670C2211yescharacteristic, complemented
146#11762669C2211yescharacteristic, complemented
147#11762668C2211yescharacteristic, complemented
148#11762668C2211yescharacteristic, complemented
149#11762667C2211yescharacteristic, complemented
150#11762667C2211yescharacteristic, complemented
151#11762666C2211yescharacteristic, complemented
152#11762666C2211yescharacteristic, complemented
153C2×#10587502C2211yescharacteristic, complemented
154C2×#10587502C2211yescharacteristic, complemented
155C2×#10587502C2211yescharacteristic, complemented
156#95×D17C2211yescharacteristic
157#95×D17C2211yescharacteristic
158#95×D17C2211yescharacteristic
159#95×D17C2211yescharacteristic
160#95×D17C2211yescharacteristic
161#95×D17C2211yescharacteristic
162#95×D17C2211yescharacteristic
163#95×D17C2211yescharacteristic
164#95×D17C2211yescharacteristic
165#95×D17C2211yescharacteristic
166#95×D17C2211yescharacteristic
167#95×D17C2211yescharacteristic
168#95×D17C2211yescharacteristic
169#95×D17C2211yescharacteristic
170#95×D17C2211yescharacteristic, complemented
171#95×D17C2211yescharacteristic, complemented
172#95×D17C2211yescharacteristic, complemented
173#95×D17C2211yescharacteristic, complemented
174C2×C17×#123C2211yescharacteristic
175C2×C4×D4×C17C2211yescharacteristic
176C17×#400C2211yescharacteristic, complemented
177C17×#398C2211yescharacteristic, complemented
178C17×#397C2211yescharacteristic, complemented
179C17×#397C2211yescharacteristic, complemented
180C17×#387C2211yescharacteristic, complemented
181C17×#387C2211yescharacteristic, complemented
182C17×#386C2211yescharacteristic
183C17×#385C2211yescharacteristic, complemented
184C17×#385C2211yescharacteristic, complemented
185C17×#381C2211yescharacteristic, complemented
186C17×#381C2211yescharacteristic, complemented
187C17×#380C2211yescharacteristic, complemented
188C2×C17×#95C2211yescharacteristic, complemented
189C24×D17C2311yescharacteristic
190C24×D17C2311yescharacteristic
191C22×D4×C17C2311yescharacteristic
192C23×C4×C17C2311yescharacteristic
193C23×C4×C17C2311yescharacteristic
194C23×C4×C17C2311yescharacteristic
195C23×C4×C17C2311yescharacteristic
196C22×C22⋊D17C2311yescharacteristic
197C22×C22⋊D17C2311yescharacteristic
198C23×Dic17C2311yescharacteristic
199C23×Dic17C2311yescharacteristic
200C23×Dic17C2311yescharacteristic
201C23×Dic17C2311yescharacteristic
202C2×D4×D17—24no—
203C2×D4×D17—24no—
204C2×D4×D17D418yes—
205C22×D68C2311yescharacteristic
206C22×C4×D17—24no—
207C22×C4×D17—24no—
208C22×C4×D17—24no—
209C22×C4×D17—24no—
210C22×C4×D17—24no—
211C22×C4×D17—24no—
212C22×C4×D17—24no—
213C22×C4×D17—24no—
214C22×C4×D17—24no—
215C22×C4×D17—42no—
216C22×C4×D17—42no—
217C22×C4×D17—42no—
218C22×C4×D17C2311yescharacteristic
219C22×C4×D17C2311yescharacteristic
220C22×C4×D17C2311yescharacteristic
221C22×C4×D17C2311yescharacteristic
222C22×C4×D17C2311yescharacteristic
223C22×C4×D17C2311yescharacteristic
224C22×C4×D17C2311yescharacteristic
225C22×C4×D17C2311yescharacteristic
226C22×C4×D17C2311yescharacteristic
227C22×C4×D17C2311yescharacteristic
228C22×C4×D17C2311yescharacteristic
229C22×C4×D17C2311yescharacteristic
230C22×C4×D17C2311yescharacteristic
231C22×C4×D17C2311yescharacteristic
232C22×C4×D17C2311yescharacteristic
233C22×C4×D17C2311yescharacteristic
234C22×C4×D17C2311yescharacteristic
235C22×C4×D17C2311yescharacteristic
236C22×C4×D17C2311yescharacteristic
237C22×C4×D17C2311yescharacteristic
238C22×C4×D17C2311yescharacteristic
239C17×#123—24no—
240C4×D4×C17—24no—
241C2×C4⋊C4×C17C2311yescharacteristic
242C2×C4⋊C4×C17C2311yescharacteristic
243C2×C4⋊C4×C17C2311yescharacteristic
244C2×C4⋊C4×C17C2311yescharacteristic
245C2×C4⋊C4×C17C2311yescharacteristic
246C2×C4⋊C4×C17C2311yescharacteristic
247C2×C4⋊C4×C17C2311yescharacteristic
248C2×C22⋊C4×C17C2311yescharacteristic
249C2×C22⋊C4×C17C2311yescharacteristic
250C2×C22⋊C4×C17C2311yescharacteristic
251C2×C22⋊C4×C17C2311yescharacteristic
252C2×C22⋊C4×C17C2311yescharacteristic
253C2×C22⋊C4×C17C2311yescharacteristic
254C2×C22⋊C4×C17C2311yescharacteristic
255C2×C22⋊C4×C17C2311yescharacteristic
256C2×C42×C17C2311yescharacteristic
257C2×C22⋊Dic17C2311yescharacteristic
258C2×C22⋊Dic17C2311yescharacteristic
259C2×C22⋊Dic17C2311yescharacteristic
260C2×C22⋊Dic17C2311yescharacteristic
261C2×C22⋊Dic17C2311yescharacteristic
262C2×C22⋊Dic17C2311yescharacteristic
263C2×C22⋊Dic17C2311yescharacteristic
264C2×C22⋊Dic17C2311yescharacteristic
265#10587621—24no—
266D4×Dic17—24no—
267#10587615—24no—
268C4×C22⋊D17—24no—
269C4×C22⋊D17—24no—
270C2×#63227C2311yescharacteristic
271C2×#63227C2311yescharacteristic
272C2×#63227C2311yescharacteristic
273C2×#63227C2311yescharacteristic
274C2×#63227C2311yescharacteristic
275C2×#63227C2311yescharacteristic
276C2×#63227C2311yescharacteristic
277C2×#63227C2311yescharacteristic
278C2×#63227C2311yescharacteristic
279C2×#63227C2311yescharacteristic
280C2×#63227C2311yescharacteristic
281C2×#63227C2311yescharacteristic
282C2×#63227C2311yescharacteristic
283C2×#63227C2311yescharacteristic
284C2×#63227C2311yescharacteristic
285C2×#63227C2311yescharacteristic
286C2×C4⋊Dic17C2311yescharacteristic
287C2×C4⋊Dic17C2311yescharacteristic
288C2×C4⋊Dic17C2311yescharacteristic
289C2×C4⋊Dic17C2311yescharacteristic
290C2×C4⋊Dic17C2311yescharacteristic
291C2×C4⋊Dic17C2311yescharacteristic
292C2×C4⋊Dic17C2311yescharacteristic
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×C4×Dic17C2311yescharacteristic
308C2×C4×Dic17C2311yescharacteristic
309C2×C4×Dic17C2311yescharacteristic
310#10587580—24no—
311#10587580—24no—
312#10587579—24no—
313C4⋊C4×D17—24no—
314C4⋊C4×D17—24no—
315C4⋊C4×D17—24no—
316C4⋊C4×D17—24no—
317C4⋊C4×D17—24no—
318C4⋊C4×D17—42no—
319C4⋊C4×D17—42no—
320#10587572—24no—
321#10587569—24no—
322#10587569—24no—
323#10587567—24no—
324#10587567—24no—
325C22⋊C4×D17—24no—
326C22⋊C4×D17—24no—
327C22⋊C4×D17—24no—
328C22⋊C4×D17—24no—
329C22⋊C4×D17—24no—
330C22⋊C4×D17—24no—
331C22⋊C4×D17—24no—
332C22⋊C4×D17—42no—
333C4×D68—24no—
334C42×D17—24no—
335C17×#95C2311yescharacteristic
336C17×#95C2311yescharacteristic
337C17×#95C2311yescharacteristic
338C17×#95C2311yescharacteristic
339C17×#95C2311yescharacteristic
340C17×#95C2311yescharacteristic
341C17×#95C2311yescharacteristic
342C17×#95C2311yescharacteristic
343C17×#95C2311yescharacteristic
344C17×#95C2311yescharacteristic
345C17×#95C2311yescharacteristic
346C17×#95C2311yescharacteristic
347C17×#95C2311yescharacteristic
348C17×#95C2311yescharacteristic
349#10587502C2311yescharacteristic
350#10587502C2311yescharacteristic
351#10587502C2311yescharacteristic
352#10587502C2311yescharacteristic
353#10587502C2311yescharacteristic
354#10587502C2311yescharacteristic
355#10587502C2311yescharacteristic
356#10587502C2311yescharacteristic
357#10587502C2311yescharacteristic
358#10587502C2311yescharacteristic
359#10587502C2311yescharacteristic
360#10587502C2311yescharacteristic
361#10587502C2311yescharacteristic
362#10587502C2311yescharacteristic
363#10587502C2311yescharacteristic
364#10587502C2311yescharacteristic
365#10587502C2311yescharacteristic
366#10587502C2311yescharacteristic
367#10587502C2311yescharacteristic
368#10587502C2311yescharacteristic
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×D17C2×D414yes—
404C23×D17C2×D414yes—
405C23×D17#4114yes—
406C23×D17#4114yes—
407C23×D17C2411yescharacteristic
408C23×D17C2411yescharacteristic
409C23×D17C2411yescharacteristic
410C2×D4×C17—22no—
411C2×D4×C17—22no—
412C2×D4×C17C2×D414yes—
413C22×C4×C17—22no—
414C22×C4×C17—22no—
415C22×C4×C17—22no—
416C22×C4×C17—22no—
417C22×C4×C17—22no—
418C22×C4×C17—22no—
419C22×C4×C17—22no—
420C22×C4×C17—22no—
421C22×C4×C17—22no—
422C22×C4×C17—41no—
423C22×C4×C17—41no—
424C22×C4×C17—41no—
425C22×C4×C17C2411yescharacteristic
426C22×C4×C17C2411yescharacteristic
427C22×C4×C17C2411yescharacteristic
428C22×C4×C17C2411yescharacteristic
429C22×C4×C17C2411yescharacteristic
430C22×C4×C17C2411yescharacteristic
431C22×C4×C17C2411yescharacteristic
432C22×C4×C17C2411yescharacteristic
433C22×C4×C17C2411yescharacteristic
434C22×C4×C17C2411yescharacteristic
435C22×C4×C17C2411yescharacteristic
436C22×C4×C17C2411yescharacteristic
437C22×C4×C17C2411yescharacteristic
438C2×C22⋊D17—22no—
439C2×C22⋊D17—22no—
440C2×C22⋊D17—22no—
441C2×C22⋊D17—22no—
442C2×C22⋊D17C2×D414yes—
443C2×C22⋊D17C2×D414yes—
444C22×Dic17—22no—
445C22×Dic17—22no—
446C22×Dic17—22no—
447C22×Dic17—22no—
448C22×Dic17—22no—
449C22×Dic17—22no—
450C22×Dic17—22no—
451C22×Dic17—22no—
452C22×Dic17—22no—
453C22×Dic17—41no—
454C22×Dic17—41no—
455C22×Dic17—41no—
456C22×Dic17C2411yescharacteristic
457C22×Dic17C2411yescharacteristic
458C22×Dic17C2411yescharacteristic
459C22×Dic17C2411yescharacteristic
460C22×Dic17C2411yescharacteristic
461C22×Dic17C2411yescharacteristic
462C22×Dic17C2411yescharacteristic
463C22×Dic17C2411yescharacteristic
464C22×Dic17C2411yescharacteristic
465C22×Dic17C2411yescharacteristic
466C22×Dic17C2411yescharacteristic
467C22×Dic17C2411yescharacteristic
468C22×Dic17C2411yescharacteristic
469D4×D17—232no—
470C2×D68—22no—
471C2×D68—22no—
472C2×D68C2×D414yes—
473C2×C4×D17—22no—
474C2×C4×D17—22no—
475C2×C4×D17—22no—
476C2×C4×D17—22no—
477C2×C4×D17—22no—
478C2×C4×D17—22no—
479C2×C4×D17—22no—
480C2×C4×D17—22no—
481C2×C4×D17—22no—
482C2×C4×D17—22no—
483C2×C4×D17—22no—
484C2×C4×D17—22no—
485C2×C4×D17—22no—
486C2×C4×D17—22no—
487C2×C4×D17—22no—
488C2×C4×D17—22no—
489C2×C4×D17—22no—
490C2×C4×D17—22no—
491C2×C4×D17—22no—
492C2×C4×D17—22no—
493C2×C4×D17—22no—
494C2×C4×D17—22no—
495C2×C4×D17—22no—
496C2×C4×D17—22no—
497C2×C4×D17—22no—
498C2×C4×D17—22no—
499C2×C4×D17—22no—
500C2×C4×D17—22no—
501C2×C4×D17—22no—
502C2×C4×D17—22no—
503C2×C4×D17—22no—
504C2×C4×D17—22no—
505C2×C4×D17—22no—
506C2×C4×D17—22no—
507C2×C4×D17—22no—
508C2×C4×D17—22no—
509C2×C4×D17—22no—
510C2×C4×D17—22no—
511C2×C4×D17—22no—
512C2×C4×D17—22no—
513C2×C4×D17—22no—
514C2×C4×D17—22no—
515C2×C4×D17—22no—
516C2×C4×D17—22no—
517C2×C4×D17—22no—
518C2×C4×D17—22no—
519C2×C4×D17—22no—
520C2×C4×D17—22no—
521C2×C4×D17—22no—
522C2×C4×D17—22no—
523C2×C4×D17—22no—
524C2×C4×D17—22no—
525C2×C4×D17—22no—
526C2×C4×D17—22no—
527C2×C4×D17—416no—
528C2×C4×D17—416no—
529C2×C4×D17—416no—
530C2×C4×D17—41no—
531C2×C4×D17—41no—
532C2×C4×D17—41no—
533C2×C4×D17—41no—
534C2×C4×D17—41no—
535C2×C4×D17—41no—
536C2×C4×D17—416no—
537C2×C4×D17C2×D414yes—
538C2×C4×D17#4114yes—
539C2×C4×D17#4114yes—
540C4⋊C4×C17—22no—
541C4⋊C4×C17—22no—
542C4⋊C4×C17—22no—
543C4⋊C4×C17—22no—
544C4⋊C4×C17—22no—
545C4⋊C4×C17—41no—
546C4⋊C4×C17—41no—
547C22⋊C4×C17—22no—
548C22⋊C4×C17—22no—
549C22⋊C4×C17—22no—
550C22⋊C4×C17—22no—
551C22⋊C4×C17—22no—
552C22⋊C4×C17—22no—
553C22⋊C4×C17—22no—
554C22⋊C4×C17—41no—
555C42×C17—22no—
556C22⋊Dic17—22no—
557C22⋊Dic17—22no—
558C22⋊Dic17—22no—
559C22⋊Dic17—22no—
560C22⋊Dic17—22no—
561C22⋊Dic17—22no—
562C22⋊Dic17—22no—
563C22⋊Dic17—41no—
564#63227—22no—
565#63227—22no—
566#63227—22no—
567#63227—22no—
568#63227—22no—
569#63227—22no—
570#63227—22no—
571#63227—22no—
572#63227—22no—
573#63227—22no—
574#63227—22no—
575#63227—22no—
576#63227—22no—
577#63227—22no—
578#63227—41no—
579#63227—41no—
580C4⋊Dic17—22no—
581C4⋊Dic17—22no—
582C4⋊Dic17—22no—
583C4⋊Dic17—22no—
584C4⋊Dic17—22no—
585C4⋊Dic17—41no—
586C4⋊Dic17—41no—
587#63225—22no—
588#63225—22no—
589#63225—22no—
590#63225—22no—
591#63225—22no—
592#63225—22no—
593#63225—22no—
594#63225—22no—
595#63225—22no—
596#63225—22no—
597#63225—41no—
598#63225—41no—
599#63225—41no—
600#63225—41no—
601C4×Dic17—22no—
602C4×Dic17—22no—
603C4×Dic17—22no—
604C2×#2419—171nomaximal, Sylow
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×C17C22×D412yes—
616C23×C17C22×D412yes—
617C23×C17C2×#4112yes—
618C23×C17C2×#4112yes—
619C23×C17C2511yescharacteristic
620C22×D17—21no—
621C22×D17—21no—
622C22×D17—21no—
623C22×D17—21no—
624C22×D17—28no—
625C22×D17—28no—
626C22×D17—28no—
627C22×D17—28no—
628C22×D17—28no—
629C22×D17—28no—
630C22×D17—21no—
631C22×D17—21no—
632C22×D17—21no—
633C22×D17—21no—
634C22×D17—21no—
635C22×D17—21no—
636C22×D17—28no—
637C22×D17—28no—
638C22×D17—28no—
639C22×D17—44no—
640C22×D17—44no—
641C22×D17—44no—
642C22×D17—44no—
643C22×D17#123116yes—
644C22×D17C22×D412yes—
645C22×D17C22×D412yes—
646C22×D17C22×D412yes—
647C22×D17C2×#4112yes—
648C22×D17C2×#4112yes—
649C22×D17C2×#4112yes—
650C22×D17C2×#4112yes—
651C22×D17C2×#4112yes—
652C22×D17C2×#4112yes—
653C22×D17H(5,𝔽2)12yes—
654C22×D172−1+412yes—
655D4×C17—28no—
656C2×C4×C17—21no—
657C2×C4×C17—21no—
658C2×C4×C17—21no—
659C2×C4×C17—21no—
660C2×C4×C17—21no—
661C2×C4×C17—21no—
662C2×C4×C17—21no—
663C2×C4×C17—21no—
664C2×C4×C17—21no—
665C2×C4×C17—21no—
666C2×C4×C17—21no—
667C2×C4×C17—21no—
668C2×C4×C17—21no—
669C2×C4×C17—21no—
670C2×C4×C17—21no—
671C2×C4×C17—21no—
672C2×C4×C17—21no—
673C2×C4×C17—21no—
674C2×C4×C17—21no—
675C2×C4×C17—21no—
676C2×C4×C17—21no—
677C2×C4×C17—21no—
678C2×C4×C17—21no—
679C2×C4×C17—21no—
680C2×C4×C17—21no—
681C2×C4×C17—21no—
682C2×C4×C17—21no—
683C2×C4×C17—21no—
684C2×C4×C17—21no—
685C2×C4×C17—21no—
686C2×C4×C17—21no—
687C2×C4×C17—21no—
688C2×C4×C17—21no—
689C2×C4×C17—21no—
690C2×C4×C17—21no—
691C2×C4×C17—21no—
692C2×C4×C17—44no—
693C2×C4×C17—44no—
694C2×C4×C17—44no—
695C2×C4×C17—44no—
696C2×C4×C17C22×D412yes—
697C2×C4×C17C2×#4112yes—
698C2×C4×C17C2×#4112yes—
699C22⋊D17—28no—
700C22⋊D17—28no—
701C2×Dic17—21no—
702C2×Dic17—21no—
703C2×Dic17—21no—
704C2×Dic17—21no—
705C2×Dic17—21no—
706C2×Dic17—21no—
707C2×Dic17—21no—
708C2×Dic17—21no—
709C2×Dic17—21no—
710C2×Dic17—21no—
711C2×Dic17—21no—
712C2×Dic17—21no—
713C2×Dic17—21no—
714C2×Dic17—21no—
715C2×Dic17—21no—
716C2×Dic17—21no—
717C2×Dic17—21no—
718C2×Dic17—21no—
719C2×Dic17—21no—
720C2×Dic17—21no—
721C2×Dic17—21no—
722C2×Dic17—21no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—21no—
730C2×Dic17—21no—
731C2×Dic17—21no—
732C2×Dic17—21no—
733C2×Dic17—21no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—44no—
738C2×Dic17—44no—
739C2×Dic17—44no—
740C2×Dic17—44no—
741C2×Dic17C22×D412yes—
742C2×Dic17C2×#4112yes—
743C2×Dic17C2×#4112yes—
744D68—28no—
745C4×D17—28no—
746C4×D17—28no—
747C4×D17—28no—
748C4×D17—44no—
749C4×D17—44no—
750C4×D17—44no—
751C4×D17—44no—
752C4×D17—44no—
753C4×D17—44no—
754C4×D17—44no—
755C4×D17—44no—
756C4×D17—44no—
757C4×D17—44no—
758C4×D17—44no—
759C4×D17—44no—
760C4×D17—44no—
761C4×D17—44no—
762C4×D17—44no—
763C4×D17—44no—
764C4×D17—44no—
765C4×D17—44no—
766C22×#123—171no—
767C22×C4×D4—171no—
768#2419—171no—
769#2419—171no—
770#2419—171no—
771#2419—171no—
772#2419—171no—
773#2419—171no—
774#2419—171no—
775#2419—171no—
776#2419—171no—
777#2419—171no—
778#2419—171no—
779#2419—171no—
780#2419—171no—
781#2419—171no—
782#2419—171no—
783#2419D1711yescharacteristic, direct product factor
784C2×#400—171no—
785C2×#398—171no—
786C2×#397—171no—
787C2×#397—171no—
788C2×#387—171no—
789C2×#387—171no—
790C2×#386—171no—
791C2×#385—171no—
792C2×#385—171no—
793C2×#381—171no—
794C2×#381—171no—
795C2×#380—171no—
796C22×#95—171no—
797C22×C17—22no—
798C22×C17—22no—
799C22×C17—22no—
800C22×C17—22no—
801C22×C17—22no—
802C22×C17—22no—
803C22×C17—22no—
804C22×C17—22no—
805C22×C17—22no—
806C22×C17—41no—
807C22×C17—41no—
808C22×C17—41no—
809C22×C17—41no—
810C22×C17C2×#12314yes—
811C22×C17C23×D411yescharacteristic
812C22×C17C22×#4111yescharacteristic
813C22×C17C22×#4111yescharacteristic
814C22×C17C22×#4111yescharacteristic
815C22×C17C22×#4111yescharacteristic
816C22×C17C2×H(5,𝔽2)11yescharacteristic
817C22×C17C2×2−1+411yescharacteristic
818C2×D17—22no—
819C2×D17—22no—
820C2×D17—22no—
821C2×D17—22no—
822C2×D17—22no—
823C2×D17—22no—
824C2×D17—232no—
825C2×D17—22no—
826C2×D17—22no—
827C2×D17—22no—
828C2×D17—41no—
829C2×D17—41no—
830C2×D17—41no—
831C2×D17—41no—
832C2×D17—416no—
833C2×D17C2×#12314yes—
834C2×D17C2×#12314yes—
835C2×D17#52914yes—
836C2×D17#53914yes—
837C2×D17#54614yes—
838C2×D17#54714yes—
839C2×D17#55114yes—
840C2×D17#55214yes—
841C4×C17—22no—
842C4×C17—22no—
843C4×C17—22no—
844C4×C17—41no—
845C4×C17—41no—
846C4×C17—41no—
847C4×C17—41no—
848C4×C17—41no—
849C4×C17—41no—
850C4×C17—41no—
851C4×C17—41no—
852C4×C17—41no—
853C4×C17—41no—
854Dic17—22no—
855Dic17—22no—
856Dic17—22no—
857Dic17—41no—
858Dic17—41no—
859Dic17—41no—
860Dic17—41no—
861Dic17—41no—
862Dic17—41no—
863Dic17—41no—
864Dic17—41no—
865Dic17—41no—
866Dic17—41no—
867C23×D4—171no—
868C24×C4—171no—
869C24×C4—171no—
870C24×C4—171no—
871C24×C4—171no—
872C2×#123—171no—
873C2×#123—171no—
874C2×#123—171no—
875C2×#123—171no—
876C2×#123—171no—
877C2×#123—171no—
878C2×#123—171no—
879C2×#123—348no—
880C2×#123C2×D1711yescharacteristic
881C2×C4×D4—171no—
882C2×C4×D4—171no—
883C2×C4×D4—171no—
884C2×C4×D4—171no—
885C2×C4×D4—171no—
886C2×C4×D4—171no—
887C2×C4×D4—171no—
888C2×C4×D4—348no—
889C2×C4×D4C2×D1711yescharacteristic
890C22×C4⋊C4—171no—
891C22×C4⋊C4—171no—
892C22×C4⋊C4—171no—
893C22×C4⋊C4—171no—
894C22×C4⋊C4—171no—
895C22×C4⋊C4—171no—
896C22×C4⋊C4—171no—
897C22×C22⋊C4—171no—
898C22×C22⋊C4—171no—
899C22×C22⋊C4—171no—
900C22×C22⋊C4—171no—
901C22×C22⋊C4—171no—
902C22×C22⋊C4—171no—
903C22×C22⋊C4—171no—
904C22×C22⋊C4—171no—
905C22×C42—171no—
906#400—171no—
907#400—171no—
908#400—171no—
909#400—171no—
910#400—171no—
911#400—171no—
912#400—171no—
913#400C2×D1711yescharacteristic, complemented
914#398—171no—
915#398—171no—
916#398—171no—
917#398—171no—
918#398—171no—
919#398—171no—
920#398—171no—
921#398C2×D1711yescharacteristic, complemented
922#397—171no—
923#397—171no—
924#397—171no—
925#397—171no—
926#397—171no—
927#397—171no—
928#397—171no—
929#397—171no—
930#397—171no—
931#397—171no—
932#397—171no—
933#397—171no—
934#397—171no—
935#397—171no—
936#397C2×D1711yescharacteristic, complemented
937#397C2×D1711yescharacteristic, complemented
938#387—171no—
939#387—171no—
940#387—171no—
941#387—171no—
942#387—171no—
943#387—171no—
944#387—171no—
945#387—171no—
946#387—171no—
947#387—171no—
948#387—171no—
949#387—171no—
950#387—171no—
951#387—171no—
952#387C2×D1711yescharacteristic, complemented
953#387C2×D1711yescharacteristic, complemented
954#386—171no—
955#386—171no—
956#386—171no—
957#386—171no—
958#386—171no—
959#386—171no—
960#386—171no—
961#386C2×D1711yescharacteristic
962#385—171no—
963#385—171no—
964#385—171no—
965#385—171no—
966#385—171no—
967#385—171no—
968#385—171no—
969#385—171no—
970#385—171no—
971#385—171no—
972#385—171no—
973#385—171no—
974#385—171no—
975#385—171no—
976#385C2×D1711yescharacteristic, complemented
977#385C2×D1711yescharacteristic, complemented
978#381—171no—
979#381—171no—
980#381—171no—
981#381—171no—
982#381—171no—
983#381—171no—
984#381—171no—
985#381—171no—
986#381—171no—
987#381—171no—
988#381—171no—
989#381—171no—
990#381—171no—
991#381—171no—
992#381C2×D1711yescharacteristic, complemented
993#381C2×D1711yescharacteristic, complemented
994#380—171no—
995#380—171no—
996#380—171no—
997#380—171no—
998#380—171no—
999#380—171no—
1000#380—171no—
1001#380C2×D1711yescharacteristic, complemented
1002C2×#95—171no—
1003C2×#95—171no—
1004C2×#95—171no—
1005C2×#95—171no—
1006C2×#95—171no—
1007C2×#95—171no—
1008C2×#95—171no—
1009C2×#95—171no—
1010C2×#95—171no—
1011C2×#95—171no—
1012C2×#95—171no—
1013C2×#95—171no—
1014C2×#95—171no—
1015C2×#95—171no—
1016C2×#95—171no—
1017C2×#95—171no—
1018C2×#95—171no—
1019C2×#95—171no—
1020C2×#95—171no—
1021C2×#95—171no—
1022C2×#95—171no—
1023C2×#95C2×D1711yescharacteristic, complemented
1024C2×C17—24no—
1025C2×C17—42no—
1026C2×C17C22×#12311yescharacteristic
1027C2×C17C2×#52911yescharacteristic
1028C2×C17C2×#53911yescharacteristic
1029C2×C17C2×#54611yescharacteristic
1030C2×C17C2×#54711yescharacteristic
1031C2×C17C2×#55111yescharacteristic
1032C2×C17C2×#55211yescharacteristic
1033D17—24no—
1034D17—42no—
1035D17#241918yesdirect product factor
1036C25—171no—
1037C25—171no—
1038C22×D4—171no—
1039C22×D4—171no—
1040C22×D4—178no—
1041C22×D4—171no—
1042C22×D4—344no—
1043C22×D4—344no—
1044C22×D4C22×D1711yescharacteristic
1045C23×C4—171no—
1046C23×C4—171no—
1047C23×C4—171no—
1048C23×C4—171no—
1049C23×C4—171no—
1050C23×C4—171no—
1051C23×C4—171no—
1052C23×C4—171no—
1053C23×C4—171no—
1054C23×C4—171no—
1055C23×C4—171no—
1056C23×C4—171no—
1057C23×C4—171no—
1058C23×C4—171no—
1059C23×C4—171no—
1060C23×C4—171no—
1061C23×C4—171no—
1062C23×C4—171no—
1063C23×C4—171no—
1064C23×C4—171no—
1065C23×C4—171no—
1066C23×C4—171no—
1067C23×C4—171no—
1068C23×C4—171no—
1069C23×C4—171no—
1070C23×C4—344no—
1071C23×C4—344no—
1072C23×C4—344no—
1073C23×C4—344no—
1074C23×C4—344no—
1075C23×C4—344no—
1076C23×C4—344no—
1077C23×C4—344no—
1078C23×C4—344no—
1079C23×C4—682no—
1080C23×C4—682no—
1081C23×C4—682no—
1082C23×C4C22×D1711yescharacteristic
1083C23×C4C22×D1711yescharacteristic
1084C23×C4C22×D1711yescharacteristic
1085C23×C4C22×D1711yescharacteristic
1086#123—24no—
1087#123—344no—
1088#123—344no—
1089#123—344no—
1090#123—344no—
1091#123—344no—
1092#123—344no—
1093#123—344no—
1094C4×D4—24no—
1095C4×D4—344no—
1096C4×D4—344no—
1097C4×D4—344no—
1098C4×D4—344no—
1099C4×D4—344no—
1100C4×D4—344no—
1101C4×D4—344no—
1102C2×C4⋊C4—171no—
1103C2×C4⋊C4—171no—
1104C2×C4⋊C4—171no—
1105C2×C4⋊C4—171no—
1106C2×C4⋊C4—171no—
1107C2×C4⋊C4—171no—
1108C2×C4⋊C4—171no—
1109C2×C4⋊C4—171no—
1110C2×C4⋊C4—171no—
1111C2×C4⋊C4—171no—
1112C2×C4⋊C4—171no—
1113C2×C4⋊C4—171no—
1114C2×C4⋊C4—171no—
1115C2×C4⋊C4—171no—
1116C2×C4⋊C4—171no—
1117C2×C4⋊C4—171no—
1118C2×C4⋊C4—171no—
1119C2×C4⋊C4—171no—
1120C2×C4⋊C4—171no—
1121C2×C4⋊C4—171no—
1122C2×C4⋊C4—171no—
1123C2×C4⋊C4—344no—
1124C2×C4⋊C4—344no—
1125C2×C4⋊C4—344no—
1126C2×C4⋊C4—344no—
1127C2×C4⋊C4—344no—
1128C2×C4⋊C4—682no—
1129C2×C4⋊C4—682no—
1130C2×C4⋊C4C22×D1711yescharacteristic
1131C2×C4⋊C4C22×D1711yescharacteristic
1132C2×C4⋊C4C22×D1711yescharacteristic
1133C2×C4⋊C4C22×D1711yescharacteristic
1134C2×C4⋊C4C22×D1711yescharacteristic
1135C2×C4⋊C4C22×D1711yescharacteristic
1136C2×C4⋊C4C22×D1711yescharacteristic
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—171no—
1150C2×C22⋊C4—171no—
1151C2×C22⋊C4—171no—
1152C2×C22⋊C4—171no—
1153C2×C22⋊C4—171no—
1154C2×C22⋊C4—171no—
1155C2×C22⋊C4—171no—
1156C2×C22⋊C4—171no—
1157C2×C22⋊C4—171no—
1158C2×C22⋊C4—171no—
1159C2×C22⋊C4—171no—
1160C2×C22⋊C4—171no—
1161C2×C22⋊C4—344no—
1162C2×C22⋊C4—344no—
1163C2×C22⋊C4—344no—
1164C2×C22⋊C4—344no—
1165C2×C22⋊C4—344no—
1166C2×C22⋊C4—344no—
1167C2×C22⋊C4—344no—
1168C2×C22⋊C4—682no—
1169C2×C22⋊C4C22×D1711yescharacteristic
1170C2×C22⋊C4C22×D1711yescharacteristic
1171C2×C22⋊C4C22×D1711yescharacteristic
1172C2×C22⋊C4C22×D1711yescharacteristic
1173C2×C22⋊C4C22×D1711yescharacteristic
1174C2×C22⋊C4C22×D1711yescharacteristic
1175C2×C22⋊C4C22×D1711yescharacteristic
1176C2×C22⋊C4C22×D1711yescharacteristic
1177C2×C42—171no—
1178C2×C42—171no—
1179C2×C42—171no—
1180C2×C42—344no—
1181C2×C42C22×D1711yescharacteristic
1182#95—171no—
1183#95—171no—
1184#95—171no—
1185#95—171no—
1186#95—171no—
1187#95—171no—
1188#95—171no—
1189#95—171no—
1190#95—171no—
1191#95—171no—
1192#95—171no—
1193#95—171no—
1194#95—171no—
1195#95—171no—
1196#95—171no—
1197#95—171no—
1198#95—171no—
1199#95—171no—
1200#95—171no—
1201#95—171no—
1202#95—171no—
1203#95—171no—
1204#95—171no—
1205#95—171no—
1206#95—171no—
1207#95—171no—
1208#95—171no—
1209#95—171no—
1210#95—171no—
1211#95—171no—
1212#95—171no—
1213#95—171no—
1214#95—171no—
1215#95—171no—
1216#95—171no—
1217#95—171no—
1218#95—171no—
1219#95—171no—
1220#95—171no—
1221#95—171no—
1222#95—171no—
1223#95—171no—
1224#95C22×D1711yescharacteristic
1225#95C22×D1711yescharacteristic
1226#95C22×D1711yescharacteristic
1227#95C22×D1711yescharacteristic
1228#95C22×D1711yescharacteristic
1229#95C22×D1711yescharacteristic
1230#95C22×D1711yescharacteristic
1231#95C22×D1711yescharacteristic
1232#95C22×D1711yescharacteristic
1233#95C22×D1711yescharacteristic
1234#95C22×D1711yescharacteristic
1235#95C22×D1711yescharacteristic
1236#95C22×D1711yescharacteristic
1237#95C22×D1711yescharacteristic
1238C17C2×#241911yescharacteristic, complemented, Sylow
1239C24—171no—
1240C24—174no—
1241C24—174no—
1242C24—174no—
1243C24—171no—
1244C24—174no—
1245C24—171no—
1246C24—342no—
1247C24—342no—
1248C24—342no—
1249C24—342no—
1250C24—342no—
1251C24—342no—
1252C24—342no—
1253C24—342no—
1254C24—342no—
1255C24—342no—
1256C24C23×D1711yescharacteristic
1257C24C23×D1711yescharacteristic
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—174no—
1261C2×D4—174no—
1262C2×D4—174no—
1263C2×D4—342no—
1264C2×D4—342no—
1265C2×D4—3432no—
1266C2×D4—342no—
1267C2×D4—342no—
1268C2×D4—342no—
1269C2×D4—342no—
1270C2×D4D4×D1714yes—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—171no—
1284C22×C4—171no—
1285C22×C4—171no—
1286C22×C4—174no—
1287C22×C4—174no—
1288C22×C4—174no—
1289C22×C4—171no—
1290C22×C4—171no—
1291C22×C4—171no—
1292C22×C4—171no—
1293C22×C4—171no—
1294C22×C4—171no—
1295C22×C4—171no—
1296C22×C4—171no—
1297C22×C4—171no—
1298C22×C4—171no—
1299C22×C4—342no—
1300C22×C4—342no—
1301C22×C4—342no—
1302C22×C4—342no—
1303C22×C4—342no—
1304C22×C4—342no—
1305C22×C4—342no—
1306C22×C4—342no—
1307C22×C4—342no—
1308C22×C4—342no—
1309C22×C4—342no—
1310C22×C4—342no—
1311C22×C4—342no—
1312C22×C4—342no—
1313C22×C4—342no—
1314C22×C4—342no—
1315C22×C4—342no—
1316C22×C4—342no—
1317C22×C4—342no—
1318C22×C4—342no—
1319C22×C4—342no—
1320C22×C4—342no—
1321C22×C4—342no—
1322C22×C4—342no—
1323C22×C4—342no—
1324C22×C4—342no—
1325C22×C4—342no—
1326C22×C4—342no—
1327C22×C4—342no—
1328C22×C4—342no—
1329C22×C4—342no—
1330C22×C4—342no—
1331C22×C4—342no—
1332C22×C4—342no—
1333C22×C4—342no—
1334C22×C4—342no—
1335C22×C4—342no—
1336C22×C4—342no—
1337C22×C4—342no—
1338C22×C4—342no—
1339C22×C4—342no—
1340C22×C4—342no—
1341C22×C4—342no—
1342C22×C4—342no—
1343C22×C4—342no—
1344C22×C4—342no—
1345C22×C4—342no—
1346C22×C4—342no—
1347C22×C4—342no—
1348C22×C4—342no—
1349C22×C4—342no—
1350C22×C4—342no—
1351C22×C4—342no—
1352C22×C4—342no—
1353C22×C4—342no—
1354C22×C4—342no—
1355C22×C4—342no—
1356C22×C4—342no—
1357C22×C4—342no—
1358C22×C4—342no—
1359C22×C4—342no—
1360C22×C4—342no—
1361C22×C4—342no—
1362C22×C4—681no—
1363C22×C4—681no—
1364C22×C4—681no—
1365C22×C4—681no—
1366C22×C4—681no—
1367C22×C4—681no—
1368C22×C4—6816no—
1369C22×C4—6816no—
1370C22×C4—6816no—
1371C22×C4—6816no—
1372C22×C4—681no—
1373C22×C4—681no—
1374C22×C4—681no—
1375C22×C4C23×D1711yescharacteristic
1376C22×C4C23×D1711yescharacteristic
1377C22×C4C23×D1711yescharacteristic
1378C22×C4C23×D1711yescharacteristic
1379C22×C4C23×D1711yescharacteristic
1380C22×C4C23×D1711yescharacteristic
1381C22×C4C23×D1711yescharacteristic
1382C22×C4C23×D1711yescharacteristic
1383C22×C4C23×D1711yescharacteristic
1384C22×C4C23×D1711yescharacteristic
1385C22×C4C23×D1711yescharacteristic
1386C22×C4C23×D1711yescharacteristic
1387C22×C4C23×D1711yescharacteristic
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4—342no—
1396C4⋊C4—342no—
1397C4⋊C4—342no—
1398C4⋊C4—342no—
1399C4⋊C4—342no—
1400C4⋊C4—342no—
1401C4⋊C4—342no—
1402C4⋊C4—342no—
1403C4⋊C4—342no—
1404C4⋊C4—342no—
1405C4⋊C4—342no—
1406C4⋊C4—342no—
1407C4⋊C4—342no—
1408C4⋊C4—342no—
1409C4⋊C4—342no—
1410C4⋊C4—681no—
1411C4⋊C4—681no—
1412C4⋊C4—681no—
1413C4⋊C4—681no—
1414C4⋊C4—681no—
1415C4⋊C4—681no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—41no—
1424C22⋊C4—342no—
1425C22⋊C4—342no—
1426C22⋊C4—342no—
1427C22⋊C4—342no—
1428C22⋊C4—342no—
1429C22⋊C4—342no—
1430C22⋊C4—342no—
1431C22⋊C4—342no—
1432C22⋊C4—342no—
1433C22⋊C4—342no—
1434C22⋊C4—342no—
1435C22⋊C4—342no—
1436C22⋊C4—342no—
1437C22⋊C4—342no—
1438C22⋊C4—342no—
1439C22⋊C4—342no—
1440C22⋊C4—342no—
1441C22⋊C4—342no—
1442C22⋊C4—342no—
1443C22⋊C4—342no—
1444C22⋊C4—342no—
1445C22⋊C4—681no—
1446C22⋊C4—681no—
1447C22⋊C4—681no—
1448C42—22no—
1449C42—342no—
1450C42—342no—
1451C42—342no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—172no—
1463C23—172no—
1464C23—172no—
1465C23—172no—
1466C23—172no—
1467C23—172no—
1468C23—172no—
1469C23—1716no—
1470C23—172no—
1471C23—172no—
1472C23—172no—
1473C23—172no—
1474C23—348no—
1475C23—348no—
1476C23—348no—
1477C23—348no—
1478C23—348no—
1479C23—348no—
1480C23—348no—
1481C23—348no—
1482C23—348no—
1483C23—341no—
1484C23—341no—
1485C23—341no—
1486C23—341no—
1487C23—341no—
1488C23—341no—
1489C23—341no—
1490C23—341no—
1491C23—341no—
1492C23—341no—
1493C23—684no—
1494C23—684no—
1495C23—684no—
1496C23—684no—
1497C23C2×D4×D1712yes—
1498C23C2×D4×D1712yes—
1499C23#41×D1712yes—
1500C23#41×D1712yes—
1501C23C24×D1711yescharacteristic
1502D4—28no—
1503D4—348no—
1504D4—348no—
1505D4—348no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—172no—
1547C2×C4—172no—
1548C2×C4—172no—
1549C2×C4—348no—
1550C2×C4—348no—
1551C2×C4—348no—
1552C2×C4—341no—
1553C2×C4—341no—
1554C2×C4—341no—
1555C2×C4—341no—
1556C2×C4—341no—
1557C2×C4—341no—
1558C2×C4—341no—
1559C2×C4—341no—
1560C2×C4—341no—
1561C2×C4—341no—
1562C2×C4—341no—
1563C2×C4—341no—
1564C2×C4—341no—
1565C2×C4—341no—
1566C2×C4—341no—
1567C2×C4—341no—
1568C2×C4—341no—
1569C2×C4—341no—
1570C2×C4—341no—
1571C2×C4—341no—
1572C2×C4—341no—
1573C2×C4—341no—
1574C2×C4—341no—
1575C2×C4—341no—
1576C2×C4—341no—
1577C2×C4—341no—
1578C2×C4—341no—
1579C2×C4—341no—
1580C2×C4—341no—
1581C2×C4—341no—
1582C2×C4—341no—
1583C2×C4—341no—
1584C2×C4—341no—
1585C2×C4—341no—
1586C2×C4—341no—
1587C2×C4—341no—
1588C2×C4—684no—
1589C2×C4—684no—
1590C2×C4—684no—
1591C2×C4—684no—
1592C2×C4—684no—
1593C2×C4—684no—
1594C2×C4—684no—
1595C2×C4—684no—
1596C2×C4—684no—
1597C2×C4—684no—
1598C2×C4—684no—
1599C2×C4—684no—
1600C2×C4—684no—
1601C2×C4—684no—
1602C2×C4—684no—
1603C2×C4—684no—
1604C2×C4—684no—
1605C2×C4—684no—
1606C2×C4—684no—
1607C2×C4—684no—
1608C2×C4—684no—
1609C2×C4—684no—
1610C2×C4C2×D4×D1712yes—
1611C2×C4#41×D1712yes—
1612C2×C4#41×D1712yes—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—174no—
1627C22—174no—
1628C22—174no—
1629C22—174no—
1630C22—174no—
1631C22—174no—
1632C22—174no—
1633C22—174no—
1634C22—3432no—
1635C22—342no—
1636C22—342no—
1637C22—342no—
1638C22—342no—
1639C22—342no—
1640C22—342no—
1641C22—342no—
1642C22—342no—
1643C22—342no—
1644C22—6816no—
1645C22—681no—
1646C22—681no—
1647C22—681no—
1648C22—681no—
1649C22#123×D1714yes—
1650C22C22×D4×D1711yescharacteristic
1651C22C2×#41×D1711yescharacteristic
1652C22C2×#41×D1711yescharacteristic
1653C22C2×#41×D1711yescharacteristic
1654C22C2×#41×D1711yescharacteristic
1655C22H(5,𝔽2)×D1711yescharacteristic
1656C222−1+4×D1711yescharacteristic
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—342no—
1671C4—342no—
1672C4—342no—
1673C4—681no—
1674C4—681no—
1675C4—681no—
1676C4—681no—
1677C4—681no—
1678C4—681no—
1679C4—681no—
1680C4—681no—
1681C4—681no—
1682C4—681no—
1683C2—24no—
1684C2—42no—
1685C2—178no—
1686C2—344no—
1687C2—682no—
1688C2C2×#123×D1711yescharacteristic
1689C2D17×#52911yescharacteristic
1690C2D17×#53911yescharacteristic
1691C2D17×#54611yescharacteristic
1692C2D17×#54711yescharacteristic
1693C2D17×#55111yescharacteristic
1694C2D17×#55211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D17
commutator, socle, cosocleC23×C17C25
FittingC17×#2419C2
prime radicalC22×D4×D17C22
hypercenter#2419D17
hypocenterC17C2×#2419
LCSG ▷ C23×C17 ▷ C17
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
3. #14532268C2semidirect
4. #14532267C2semidirect
5. #14532266C2semidirect
6. #14532265C2semidirect
7. #14532264C2semidirect
8. #14532263C2semidirect
9. #14532262C2semidirect
10. #14532261C2semidirect
11. #14532260C2semidirect
12. #14532259C2semidirect
13. #14532258C2semidirect
14. #14532257C2semidirect
15. #14532256C2semidirect
16. #14532255C2semidirect
17. #14532254C2semidirect
18. D17×#400C2semidirect
19. D17×#398C2semidirect
20. D17×#397C2semidirect
21. D17×#397C2semidirect
22. D17×#387C2semidirect
23. D17×#387C2semidirect
25. D17×#385C2semidirect
26. D17×#385C2semidirect
27. D17×#381C2semidirect
28. D17×#381C2semidirect
29. D17×#380C2semidirect
30. C2×#95×D17C2semidirect
31. C17×#2419C2semidirect
69. #11762751C22semidirect
70. #11762751C22semidirect
71. #11762750C22semidirect
72. #11762750C22semidirect
73. #11762749C22semidirect
74. #11762748C22semidirect
75. #11762747C22semidirect
76. #11762743C22semidirect
77. #11762743C22semidirect
78. #11762742C22semidirect
79. #11762742C22semidirect
80. #11762741C22semidirect
81. #11762740C22semidirect
82. #11762739C22semidirect
83. #11762738C22semidirect
84. #11762738C22semidirect
85. #11762738C22semidirect
86. #11762738C22semidirect
87. #11762737C22semidirect
88. #11762737C22semidirect
89. #11762737C22semidirect
90. #11762737C22semidirect
91. #11762736C22semidirect
92. #11762736C22semidirect
93. #11762735C22semidirect
94. #11762735C22semidirect
95. #11762734C22semidirect
96. #11762734C22semidirect
97. #11762696C22semidirect
98. #11762696C22semidirect
99. #11762695C22semidirect
100. #11762695C22semidirect
101. #11762694C22semidirect
102. #11762694C22semidirect
103. #11762693C22semidirect
104. #11762693C22semidirect
105. #11762692C22semidirect
106. #11762692C22semidirect
107. #11762691C22semidirect
108. #11762691C22semidirect
109. #11762690C22semidirect
110. #11762690C22semidirect
118. #11762684C22semidirect
119. #11762684C22semidirect
120. #11762683C22semidirect
121. #11762683C22semidirect
122. #11762683C22semidirect
123. #11762683C22semidirect
124. #11762682C22semidirect
125. #11762682C22semidirect
126. #11762681C22semidirect
127. #11762681C22semidirect
128. #11762680C22semidirect
129. #11762680C22semidirect
130. #11762680C22semidirect
131. #11762680C22semidirect
132. #11762672C22semidirect
133. #11762672C22semidirect
134. #11762671C22semidirect
135. #11762671C22semidirect
136. #11762671C22semidirect
137. #11762671C22semidirect
138. #11762671C22semidirect
139. #11762671C22semidirect
140. #11762671C22semidirect
141. #11762671C22semidirect
142. #11762670C22semidirect
143. #11762670C22semidirect
144. #11762670C22semidirect
145. #11762670C22semidirect
146. #11762669C22semidirect
147. #11762668C22semidirect
148. #11762668C22semidirect
149. #11762667C22semidirect
150. #11762667C22semidirect
151. #11762666C22semidirect
152. #11762666C22semidirect
153. C2×#10587502C22semidirect
154. C2×#10587502C22semidirect
155. C2×#10587502C22semidirect
170. #95×D17C22semidirect
171. #95×D17C22semidirect
172. #95×D17C22semidirect
173. #95×D17C22semidirect
176. C17×#400C22semidirect
177. C17×#398C22semidirect
178. C17×#397C22semidirect
179. C17×#397C22semidirect
180. C17×#387C22semidirect
181. C17×#387C22semidirect
183. C17×#385C22semidirect
184. C17×#385C22semidirect
185. C17×#381C22semidirect
186. C17×#381C22semidirect
187. C17×#380C22semidirect
188. C2×C17×#95C22semidirect
783. #2419D17direct (N × H)
913. #400C2×D17semidirect
921. #398C2×D17semidirect
936. #397C2×D17semidirect
937. #397C2×D17semidirect
952. #387C2×D17semidirect
953. #387C2×D17semidirect
976. #385C2×D17semidirect
977. #385C2×D17semidirect
992. #381C2×D17semidirect
993. #381C2×D17semidirect
1001. #380C2×D17semidirect
1023. C2×#95C2×D17semidirect
1035. D17#2419direct (N × H)
1238. C17C2×#2419semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D172
C2×C4×D4×D172
#145322682
#145322672
#145322662
#145322652
#145322642
#145322632
#145322622
#145322612
#145322602
#145322592
#145322582
#145322572
#145322562
#145322552
#145322542
D17×#4002
D17×#3982
D17×#3972
D17×#3872
D17×#3862
D17×#3852
D17×#3812
D17×#3802
C2×#95×D172
C17×#24192
C2×#241917