Finite Group Databasebeta

← C2×#14542527 #17942748

Subgroups — C2×#14542527 #17942748

Order 4352.

7206 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542527C2132yesmaximal, direct product factor
2C2×#11763531C211yesmaximal, characteristic, complemented
3C2×#11763526C211yesmaximal, characteristic, complemented
4C2×#11763515C211yesmaximal, characteristic, complemented
5C2×#11763513C211yesmaximal, characteristic, complemented
6C2×#11763496C211yesmaximal, characteristic, complemented
7C2×#11763495C211yesmaximal, characteristic, complemented
8C2×#11763494C211yesmaximal, characteristic, complemented
9C2×#11763492C211yesmaximal, characteristic, complemented
10C2×#11763492C211yesmaximal, characteristic, complemented
11C2×#11763491C211yesmaximal, characteristic, complemented
12C2×#11763491C211yesmaximal, characteristic, complemented
13C2×#11763488C211yesmaximal, characteristic, complemented
14C2×#11763486C211yesmaximal, characteristic, complemented
15C2×#11763483C211yesmaximal, characteristic, complemented
16C2×#11763482C211yesmaximal, characteristic, complemented
17C2×#11763438C211yesmaximal, characteristic, complemented
18C2×#11763429C211yesmaximal, characteristic, complemented
19C2×#11763425C211yesmaximal, characteristic, complemented
20C2×#11763418C211yesmaximal, characteristic, complemented
21C2×#11763418C211yesmaximal, characteristic, complemented
22C2×#11763381C211yesmaximal, characteristic, complemented
23C2×#11763365C211yesmaximal, characteristic, complemented
24C2×#11763363C211yesmaximal, characteristic, complemented
25C2×#11763342C211yesmaximal, characteristic, complemented
26C2×#11763337C211yesmaximal, characteristic, complemented
27C2×#11763317C211yesmaximal, characteristic
28C22×#10587582C211yesmaximal, characteristic, complemented
29C2×#11763288C211yesmaximal, characteristic, complemented
30C2×#11763286C211yesmaximal, characteristic, complemented
31C2×#117×D17C211yesmaximal, characteristic, complemented
32C2×C17×#552C211yesmaximal, characteristic, complemented
33C22×#63254C2211yescharacteristic
34C23×Dic34C2211yescharacteristic
35C23×C4×D17C2211yescharacteristic
36#11763531C22116yescomplemented
37#11763526C22116yescomplemented
38#11763515C22116yescomplemented
39#11763513C22116yescomplemented
40#11763496C22116yescomplemented
41#11763495C22116yescomplemented
42#11763494C22116yescomplemented
43#11763492C22116yescomplemented
44#11763492C22116yescomplemented
45#11763491C22116yescomplemented
46#11763491C22116yescomplemented
47#11763488C22116yescomplemented
48#11763486C22116yescomplemented
49#11763483C22116yescomplemented
50#11763482C22116yescomplemented
51#11763438C22116yescomplemented
52#11763429C22116yescomplemented
53#11763425C22116yescomplemented
54#11763418C22116yescomplemented
55#11763418C22116yescomplemented
56#11763381C22116yescomplemented
57#11763365C22116yescomplemented
58#11763363C22116yescomplemented
59C2×#10587574C2211yescharacteristic, complemented
60C2×#10587574C2211yescharacteristic, complemented
61C2×#10587574C2211yescharacteristic, complemented
62C2×#10587574C2211yescharacteristic, complemented
63C2×#10587630C2211yescharacteristic, complemented
64C2×#10587630C2211yescharacteristic, complemented
65#11763342C22116yescomplemented
66#11763337C22116yescomplemented
67C2×#10587584C2211yescharacteristic
68C2×#10587584C2211yescharacteristic
69C2×#10587584C2211yescharacteristic
70C2×#10587584C2211yescharacteristic
71C2×#10587584C2211yescharacteristic
72C2×#10587584C2211yescharacteristic
73C2×#10587584C2211yescharacteristic, complemented
74C2×#10587584C2211yescharacteristic, complemented
75C2×#10587584C2211yescharacteristic, complemented
76C2×#10587562C2211yescharacteristic
77C2×#10587562C2211yescharacteristic
78C2×#10587562C2211yescharacteristic, complemented
79C2×#10587565C2211yescharacteristic, complemented
80C2×#10587565C2211yescharacteristic, complemented
81C2×#10587556C2211yescharacteristic, complemented
82C2×#10587576C2211yescharacteristic, complemented
83C2×#10587576C2211yescharacteristic, complemented
84C2×#10587575C2211yescharacteristic, complemented
85C2×#10587575C2211yescharacteristic, complemented
86C2×#10587575C2211yescharacteristic, complemented
87C2×#10587575C2211yescharacteristic, complemented
88C2×#10587575C2211yescharacteristic, complemented
89C2×#10587575C2211yescharacteristic, complemented
90C2×#10587575C2211yescharacteristic, complemented
91C2×#10587575C2211yescharacteristic, complemented
92C2×#10587575C2211yescharacteristic, complemented
93C2×#10587575C2211yescharacteristic, complemented
94C2×#10587633C2211yescharacteristic
95C2×#10587561C2211yescharacteristic
96C2×#10587571C2211yescharacteristic
97C2×#10587571C2211yescharacteristic
98C2×#10587571C2211yescharacteristic, complemented
99C2×#10587571C2211yescharacteristic, complemented
100#11763317C22116yes—
101C2×#10587580C2211yescharacteristic
102C2×#10587580C2211yescharacteristic
103C2×#10587580C2211yescharacteristic
104C2×#10587580C2211yescharacteristic
105C2×#10587572C2211yescharacteristic
106C2×#10587572C2211yescharacteristic
107C2×#10587615C2211yescharacteristic
108C2×#10587615C2211yescharacteristic
109C2×#10587615C2211yescharacteristic
110C2×#10587569C2211yescharacteristic
111C2×#10587569C2211yescharacteristic
112C2×#10587621C2211yescharacteristic
113C2×#10587583C2211yescharacteristic
114C2×#10587583C2211yescharacteristic, complemented
115C2×#10587610C2211yescharacteristic
116C2×#10587582C2211yescharacteristic
117C2×#10587582C2211yescharacteristic
118C2×#10587582C2211yescharacteristic
119C2×#10587582C2211yescharacteristic
120C2×#10587582C2211yescharacteristic
121C2×#10587582C2211yescharacteristic
122C2×#10587582C2211yescharacteristic
123C2×#10587582C2211yescharacteristic
124C2×#10587582C2211yescharacteristic
125C2×#10587582C2211yescharacteristic
126C2×#10587582C2211yescharacteristic
127C2×#10587582C2211yescharacteristic
128C2×#10587582C22116yescomplemented
129C2×#10587582C2211yescharacteristic, complemented
130C2×#10587582C2211yescharacteristic, complemented
131C2×#10587582C2211yescharacteristic, complemented
132C2×#10587564C2211yescharacteristic
133C2×#10587564C2211yescharacteristic
134C2×#10587564C2211yescharacteristic, complemented
135C2×#10587564C2211yescharacteristic, complemented
136C2×#10587564C2211yescharacteristic, complemented
137C2×#10587632C2211yescharacteristic
138C2×#10587570C2211yescharacteristic
139C2×#10587570C2211yescharacteristic
140C2×#10587568C2211yescharacteristic
141C2×#10587623C2211yescharacteristic
142#11763288C22116yescomplemented
143#11763286C22116yescomplemented
144C2×C4×Dic34C2211yescharacteristic, complemented
145C2×C4×Dic34C2211yescharacteristic, complemented
146C2×C4×Dic34C2211yescharacteristic, complemented
147C2×C4×Dic34C2211yescharacteristic, complemented
148C2×C4×Dic34C2211yescharacteristic, complemented
149C2×C4×Dic34C2211yescharacteristic, complemented
150C2×#10587573C2211yescharacteristic, complemented
151C2×#10587573C2211yescharacteristic, complemented
152C2×#10587573C2211yescharacteristic, complemented
153C2×#10587573C2211yescharacteristic, complemented
154C2×#10587573C2211yescharacteristic, complemented
155C2×#10587573C2211yescharacteristic, complemented
156C2×#10587573C2211yescharacteristic, complemented
157C2×C4×D68C2211yescharacteristic
158C2×D4×Dic17C2211yescharacteristic
159C2×#10587579C2211yescharacteristic
160C2×#10587579C2211yescharacteristic
161C2×#10587579C2211yescharacteristic
162C2×C4×C22⋊D17C2211yescharacteristic
163C2×C4×C22⋊D17C2211yescharacteristic
164C2×C4×C22⋊D17C2211yescharacteristic, complemented
165C2×#10587567C2211yescharacteristic
166C2×#10587567C2211yescharacteristic
167C2×#10587567C2211yescharacteristic
168C2×#10587567C2211yescharacteristic
169C2×#10587567C2211yescharacteristic, complemented
170C2×#10587612C2211yescharacteristic
171C2×#10587612C2211yescharacteristic
172C2×#10587578C2211yescharacteristic
173C2×#10587578C2211yescharacteristic
174C2×#10587578C2211yescharacteristic
175C2×#10587578C2211yescharacteristic
176C2×#10587578C2211yescharacteristic, complemented
177C2×#10587558C2211yescharacteristic
178C2×#10587558C2211yescharacteristic
179C2×#10587558C2211yescharacteristic
180C2×#10587558C2211yescharacteristic
181C2×#10587558C2211yescharacteristic, complemented
182C2×#10587558C2211yescharacteristic, complemented
183C2×#10587563C2211yescharacteristic
184C2×#10587563C2211yescharacteristic
185C2×#10587563C2211yescharacteristic
186C2×#10587563C2211yescharacteristic
187C2×#10587563C2211yescharacteristic
188C2×#10587563C2211yescharacteristic, complemented
189C2×#10587563C2211yescharacteristic, complemented
190#117×D17C22116yescomplemented
191C22×#63225C2211yescharacteristic
192C22×#63225C2211yescharacteristic
193C22×#63225C2211yescharacteristic, complemented
194C2×C4⋊C4×D17C2211yescharacteristic
195C2×C4⋊C4×D17C2211yescharacteristic
196C2×C4⋊C4×D17C2211yescharacteristic, complemented
197C22×#63227C2211yescharacteristic
198C22×#63227C2211yescharacteristic
199C2×C22⋊C4×D17C2211yescharacteristic
200C2×C22⋊C4×D17C2211yescharacteristic
201C2×C42×D17C2211yescharacteristic
202C2×C42×D17C2211yescharacteristic
203C17×#552C22116yescomplemented
204C2×C17×#126C2211yescharacteristic, complemented
205C2×C17×#126C2211yescharacteristic, complemented
206C2×C17×#125C2211yescharacteristic, complemented
207C2×C17×#125C2211yescharacteristic, complemented
208C2×C17×#125C2211yescharacteristic, complemented
209C2×C17×#123C2211yescharacteristic
210C2×C17×#123C2211yescharacteristic
211C2×C17×C22⋊Q8C2211yescharacteristic
212C2×C17×C22⋊Q8C2211yescharacteristic, complemented
213C2×C4×Q8×C17C2211yescharacteristic, complemented
214C2×C4×D4×C17C2211yescharacteristic
215C2×C17×#117C2211yescharacteristic
216C2×C17×#117C2211yescharacteristic
217C2×C17×#117C2211yescharacteristic, complemented
218C22×C4⋊C4×C17C2211yescharacteristic
219C24×D17C2311yescharacteristic
220C22×Q8×C17C2311yescharacteristic
221C22×D4×C17C2311yescharacteristic
222C23×C4×C17C2311yescharacteristic
223C23×C4×C17C2311yescharacteristic
224C23×C4×C17C2311yescharacteristic
225C23×C4×C17C2311yescharacteristic
226C22×C22⋊D17C2311yescharacteristic
227C22×C22⋊D17C2311yescharacteristic
228C22×C22⋊D17C2311yescharacteristic
229C22×C22⋊D17C2311yescharacteristic
230C23×Dic17C2311yescharacteristic
231C23×Dic17C2311yescharacteristic
232C23×Dic17C2311yescharacteristic
233C23×Dic17C2311yescharacteristic
234C23×Dic17C2311yescharacteristic
235C2×#63254—28no—
236C2×#63254C2318yes—
237C22×D68C2311yescharacteristic
238C22×D68C2311yescharacteristic
239C22×C4×D17—28no—
240C22×C4×D17C2311yescharacteristic
241C22×C4×D17C2311yescharacteristic
242C22×C4×D17C2311yescharacteristic
243C22×C4×D17C2311yescharacteristic
244C22×C4×D17C2311yescharacteristic
245C22×C4×D17C2318yes—
246C22×C4×D17C2311yescharacteristic
247C22×C4×D17C2311yescharacteristic
248C22×C4×D17C2311yescharacteristic
249C22×C4×D17C2311yescharacteristic
250C22×C4×D17C2311yescharacteristic
251C22×C4×D17C2311yescharacteristic
252C22×Dic34—28no—
253C22×Dic34C2311yescharacteristic
254C22×Dic34C2311yescharacteristic
255C22×Dic34C2311yescharacteristic
256C22×Dic34C2311yescharacteristic
257C22×Dic34C2311yescharacteristic
258C22×Dic34C2318yes—
259C22×Dic34C2311yescharacteristic
260C22×Dic34C2311yescharacteristic
261C22×Dic34C2311yescharacteristic
262C17×#126C2318yescomplemented
263C17×#126C2318yescomplemented
264C17×#125C2318yescomplemented
265C17×#125C2318yescomplemented
266C17×#125C2318yescomplemented
267C17×#123C2318yes—
268C17×#123C2318yes—
269C17×C22⋊Q8C2318yes—
270C17×C22⋊Q8C2318yescomplemented
271C4×Q8×C17C2318yescomplemented
272C4×D4×C17C2318yes—
273C17×#117C2318yes—
274C17×#117C2318yes—
275C17×#117C2318yescomplemented
276C2×C4⋊C4×C17C2311yescharacteristic
277C2×C4⋊C4×C17C2311yescharacteristic
278C2×C4⋊C4×C17C2311yescharacteristic
279C2×C4⋊C4×C17C2311yescharacteristic
280C2×C4⋊C4×C17C2318yes—
281C2×C4⋊C4×C17C2311yescharacteristic
282C2×C4⋊C4×C17C2311yescharacteristic
283C2×C4⋊C4×C17C2311yescharacteristic
284C2×C4⋊C4×C17C2311yescharacteristic
285C2×C4⋊C4×C17C2311yescharacteristic
286C2×C4⋊C4×C17C2311yescharacteristic
287C2×C4⋊C4×C17C2311yescharacteristic
288C2×C4⋊C4×C17C2311yescharacteristic
289C2×C4⋊C4×C17C2311yescharacteristic
290C2×C4⋊C4×C17C2311yescharacteristic
291C2×C4⋊C4×C17C2311yescharacteristic
292C2×C4⋊C4×C17C2311yescharacteristic
293C2×C22⋊C4×C17C2311yescharacteristic
294C2×C22⋊C4×C17C2311yescharacteristic
295C2×C22⋊C4×C17C2311yescharacteristic
296C2×C22⋊C4×C17C2311yescharacteristic
297C2×C22⋊C4×C17C2311yescharacteristic
298C2×C22⋊C4×C17C2311yescharacteristic
299C2×C22⋊C4×C17C2311yescharacteristic
300C2×C22⋊C4×C17C2311yescharacteristic
301C2×C42×C17C2311yescharacteristic
302C2×C42×C17C2311yescharacteristic
303C2×C42×C17C2311yescharacteristic
304C2×C42×C17C2311yescharacteristic
305C2×C42×C17C2311yescharacteristic
306C2×C22⋊Dic17C2311yescharacteristic
307C2×C22⋊Dic17C2311yescharacteristic
308C2×C22⋊Dic17C2311yescharacteristic
309C2×C22⋊Dic17C2311yescharacteristic
310C2×C22⋊Dic17C2311yescharacteristic
311C2×C22⋊Dic17C2311yescharacteristic
312#10587633C2318yes—
313#10587632C2318yes—
314#10587630C2318yescomplemented
315#10587630C2318yescomplemented
316#10587623C2318yes—
317#10587621C2318yes—
318D4×Dic17C2318yes—
319#10587615C2318yes—
320#10587615C2318yes—
321#10587615C2318yes—
322C4×C22⋊D17C2318yes—
323C4×C22⋊D17C2318yes—
324C4×C22⋊D17C2318yescomplemented
325C2×#63227C2318yes—
326C2×#63227C2318yes—
327C2×#63227C2311yescharacteristic
328C2×#63227C2311yescharacteristic
329C2×#63227C2311yescharacteristic
330C2×#63227C2311yescharacteristic
331C2×#63227C2311yescharacteristic
332C2×#63227C2311yescharacteristic
333C2×#63227C2311yescharacteristic
334C2×#63227C2311yescharacteristic
335C2×#63227C2311yescharacteristic
336C2×#63227C2311yescharacteristic
337C2×#63227C2311yescharacteristic
338C2×#63227C2311yescharacteristic
339C2×#63227C2311yescharacteristic
340C2×#63227C2311yescharacteristic
341C2×#63227C2311yescharacteristic
342C2×#63227C2311yescharacteristic
343C2×#63227C2311yescharacteristic
344C2×#63227C2311yescharacteristic
345C2×#63227C2311yescharacteristic
346C2×#63227C2311yescharacteristic
347C2×#63227C2311yescharacteristic
348C2×#63227C2311yescharacteristic
349C2×#63227C2311yescharacteristic
350C2×#63227C2311yescharacteristic
351#10587612C2318yes—
352#10587612C2318yes—
353C2×C4⋊Dic17C2311yescharacteristic
354C2×C4⋊Dic17C2311yescharacteristic
355C2×C4⋊Dic17C2311yescharacteristic
356C2×C4⋊Dic17C2311yescharacteristic
357C2×C4⋊Dic17C2311yescharacteristic
358C2×C4⋊Dic17C2311yescharacteristic
359C2×C4⋊Dic17C2311yescharacteristic
360C2×C4⋊Dic17C2311yescharacteristic
361C2×C4⋊Dic17C2311yescharacteristic
362C2×C4⋊Dic17C2311yescharacteristic
363#10587610C2318yes—
364C2×#63225C2318yes—
365C2×#63225C2311yescharacteristic
366C2×#63225C2311yescharacteristic
367C2×#63225C2311yescharacteristic
368C2×#63225C2311yescharacteristic
369C2×#63225C2311yescharacteristic
370C2×#63225C2311yescharacteristic
371C2×#63225C2311yescharacteristic
372C2×#63225C2311yescharacteristic
373C2×#63225C2311yescharacteristic
374C2×#63225C2311yescharacteristic
375C2×#63225C2318yes—
376C2×#63225C2311yescharacteristic
377C2×#63225C2311yescharacteristic
378C2×#63225C2311yescharacteristic
379C2×#63225C2311yescharacteristic
380C2×#63225C2311yescharacteristic
381C2×#63225C2311yescharacteristic
382C2×#63225C2311yescharacteristic
383C2×#63225C2311yescharacteristic
384C2×#63225C2311yescharacteristic
385C2×#63225C2311yescharacteristic
386C2×#63225C2311yescharacteristic
387C2×#63225C2311yescharacteristic
388C2×#63225C2311yescharacteristic
389C2×#63225C2311yescharacteristic
390C2×#63225C2311yescharacteristic
391C2×#63225C2311yescharacteristic
392C2×#63225C2311yescharacteristic
393C2×#63225C2311yescharacteristic
394C2×#63225C2311yescharacteristic
395C2×#63225C2311yescharacteristic
396C2×#63225C2311yescharacteristic
397C2×#63225C2311yescharacteristic
398C2×#63225C2318yescomplemented
399C2×C4×Dic17C2311yescharacteristic
400C2×C4×Dic17C2311yescharacteristic
401C2×C4×Dic17C2311yescharacteristic
402C2×C4×Dic17C2311yescharacteristic
403C2×C4×Dic17C2311yescharacteristic
404C2×C4×Dic17C2311yescharacteristic
405C2×C4×Dic17C2311yescharacteristic
406C2×C4×Dic17C2311yescharacteristic
407C2×C4×Dic17C2311yescharacteristic
408C2×C4×Dic17C2311yescharacteristic
409C2×C4×Dic17C2311yescharacteristic
410C2×C4×Dic17C2311yescharacteristic
411C2×C4×Dic17C2311yescharacteristic
412C2×C4×Dic17C2311yescharacteristic
413C2×C4×Dic17C2311yescharacteristic
414C2×C4×Dic17C2311yescharacteristic
415C2×C4×Dic17C2311yescharacteristic
416#10587584C2318yes—
417#10587584C2318yes—
418#10587584C2318yes—
419#10587584C2318yes—
420#10587584C2318yes—
421#10587584C2318yes—
422#10587584C2318yescomplemented
423#10587584C2318yescomplemented
424#10587584C2318yescomplemented
425#10587583C2318yes—
426#10587583C2318yescomplemented
427#10587582C2318yes—
428#10587582C2318yes—
429#10587582C2318yes—
430#10587582C2318yes—
431#10587582C2318yes—
432#10587582C2318yes—
433#10587582C2318yes—
434#10587582C2318yes—
435#10587582C2318yes—
436#10587582C2318yes—
437#10587582C2318yes—
438#10587582C2318yes—
439#10587582C2318yescomplemented
440#10587582C2318yescomplemented
441#10587582C2318yescomplemented
442#10587580C2318yes—
443#10587580C2318yes—
444#10587580C2318yes—
445#10587580C2318yes—
446#10587579C2318yes—
447#10587579C2318yes—
448#10587579C2318yes—
449#10587578C2318yes—
450#10587578C2318yes—
451#10587578C2318yes—
452#10587578C2318yes—
453#10587578C2318yescomplemented
454C4⋊C4×D17C2318yes—
455C4⋊C4×D17C2318yes—
456C4⋊C4×D17C2318yescomplemented
457#10587576C2318yescomplemented
458#10587576C2318yescomplemented
459#10587575C2318yescomplemented
460#10587575C2318yescomplemented
461#10587575C2318yescomplemented
462#10587575C2318yescomplemented
463#10587575C2318yescomplemented
464#10587575C2318yescomplemented
465#10587575C2318yescomplemented
466#10587575C2318yescomplemented
467#10587575C2318yescomplemented
468#10587575C2318yescomplemented
469#10587574C2318yescomplemented
470#10587574C2318yescomplemented
471#10587574C2318yescomplemented
472#10587574C2318yescomplemented
473#10587573C2318yescomplemented
474#10587573C2318yescomplemented
475#10587573C2318yescomplemented
476#10587573C2318yescomplemented
477#10587573C2318yescomplemented
478#10587573C2318yescomplemented
479#10587573C2318yescomplemented
480#10587572C2318yes—
481#10587572C2318yes—
482#10587571C2318yes—
483#10587571C2318yes—
484#10587571C2318yescomplemented
485#10587571C2318yescomplemented
486#10587570C2318yes—
487#10587570C2318yes—
488#10587569C2318yes—
489#10587569C2318yes—
490#10587568C2318yes—
491#10587567C2318yes—
492#10587567C2318yes—
493#10587567C2318yes—
494#10587567C2318yes—
495#10587567C2318yescomplemented
496C22⋊C4×D17C2318yes—
497C22⋊C4×D17C2318yes—
498#10587565C2318yescomplemented
499#10587565C2318yescomplemented
500#10587564C2318yes—
501#10587564C2318yes—
502#10587564C2318yescomplemented
503#10587564C2318yescomplemented
504#10587564C2318yescomplemented
505#10587563C2318yes—
506#10587563C2318yes—
507#10587563C2318yes—
508#10587563C2318yes—
509#10587563C2318yes—
510#10587563C2318yescomplemented
511#10587563C2318yescomplemented
512#10587562C2318yes—
513#10587562C2318yes—
514#10587562C2318yescomplemented
515#10587561C2318yes—
516C4×D68C2318yes—
517#10587558C2318yes—
518#10587558C2318yes—
519#10587558C2318yes—
520#10587558C2318yes—
521#10587558C2318yescomplemented
522#10587558C2318yescomplemented
523C42×D17C2318yes—
524C42×D17C2318yes—
525#10587556C2318yescomplemented
526C4×Dic34C2318yescomplemented
527C4×Dic34C2318yescomplemented
528C4×Dic34C2318yescomplemented
529C4×Dic34C2318yescomplemented
530C4×Dic34C2318yescomplemented
531C4×Dic34C2318yescomplemented
532C24×C17C2411yescharacteristic
533C24×C17C2411yescharacteristic
534C23×D17—24no—
535C23×D17—24no—
536C23×D17—42no—
537C23×D17C2411yescharacteristic
538C23×D17C2411yescharacteristic
539C23×D17C2414yes—
540C23×D17C2411yescharacteristic
541C2×Q8×C17—42no—
542C2×Q8×C17C2414yes—
543C2×D4×C17—24no—
544C2×D4×C17C2414yes—
545C22×C4×C17—24no—
546C22×C4×C17—24no—
547C22×C4×C17—42no—
548C22×C4×C17—42no—
549C22×C4×C17C2414yes—
550C22×C4×C17C2414yes—
551C22×C4×C17C2411yescharacteristic
552C22×C4×C17C2411yescharacteristic
553C22×C4×C17C2411yescharacteristic
554C22×C4×C17C2411yescharacteristic
555C22×C4×C17C2411yescharacteristic
556C22×C4×C17C2411yescharacteristic
557C22×C4×C17C2411yescharacteristic
558C22×C4×C17C2411yescharacteristic
559C22×C4×C17C2411yescharacteristic
560C22×C4×C17C2411yescharacteristic
561C22×C4×C17C2411yescharacteristic
562C22×C4×C17C2411yescharacteristic
563C22×C4×C17C2411yescharacteristic
564C22×C4×C17C2414yes—
565C22×C4×C17C2414yes—
566C2×C22⋊D17—24no—
567C2×C22⋊D17—24no—
568C2×C22⋊D17—24no—
569C2×C22⋊D17—42no—
570C2×C22⋊D17C2414yes—
571C2×C22⋊D17C2414yes—
572C2×C22⋊D17C2414yes—
573C2×C22⋊D17C2414yes—
574C22×Dic17—24no—
575C22×Dic17—24no—
576C22×Dic17—42no—
577C22×Dic17—42no—
578C22×Dic17#4118yes—
579C22×Dic17C2411yescharacteristic
580C22×Dic17C2414yes—
581C22×Dic17C2411yescharacteristic
582C22×Dic17C2411yescharacteristic
583C22×Dic17C2411yescharacteristic
584C22×Dic17C2411yescharacteristic
585C22×Dic17C2411yescharacteristic
586C22×Dic17C2411yescharacteristic
587C22×Dic17C2411yescharacteristic
588C22×Dic17C2411yescharacteristic
589C22×Dic17C2411yescharacteristic
590C22×Dic17C2414yes—
591C22×Dic17C2411yescharacteristic
592C22×Dic17C2414yes—
593C22×Dic17C2414yes—
594C22×Dic17C2411yescharacteristic
595C22×Dic17C2411yescharacteristic
596C22×Dic17C2414yes—
597#63254—232no—
598C2×D68—24no—
599C2×D68—42no—
600C2×D68C2414yes—
601C2×D68C2414yes—
602C2×C4×D17—24no—
603C2×C4×D17—24no—
604C2×C4×D17—24no—
605C2×C4×D17—24no—
606C2×C4×D17—24no—
607C2×C4×D17—24no—
608C2×C4×D17—232no—
609C2×C4×D17—24no—
610C2×C4×D17—42no—
611C2×C4×D17—42no—
612C2×C4×D17—42no—
613C2×C4×D17—42no—
614C2×C4×D17C2414yes—
615C2×C4×D17C2414yes—
616C2×C4×D17C2414yes—
617C2×C4×D17C2414yes—
618C2×C4×D17C2414yes—
619C2×C4×D17C2414yes—
620C2×C4×D17C2414yes—
621C2×C4×D17C2414yes—
622C2×C4×D17C2414yes—
623C2×C4×D17C2414yes—
624C2×C4×D17C2414yes—
625C2×Dic34—24no—
626C2×Dic34—24no—
627C2×Dic34—24no—
628C2×Dic34—24no—
629C2×Dic34—232no—
630C2×Dic34—24no—
631C2×Dic34—42no—
632C2×Dic34—42no—
633C2×Dic34—42no—
634C2×Dic34C2414yes—
635C2×Dic34C2414yes—
636C2×Dic34C2414yes—
637C2×Dic34C2414yes—
638C2×Dic34C2414yes—
639C2×Dic34C2414yes—
640C2×Dic34C2414yes—
641C2×Dic34C2414yes—
642C4⋊C4×C17C2414yes—
643C4⋊C4×C17C2414yes—
644C4⋊C4×C17C2414yes—
645C4⋊C4×C17C2414yes—
646C4⋊C4×C17C2414yes—
647C4⋊C4×C17C2414yes—
648C4⋊C4×C17C2414yes—
649C4⋊C4×C17C2414yes—
650C4⋊C4×C17C2414yes—
651C4⋊C4×C17C2414yes—
652C4⋊C4×C17C2414yes—
653C4⋊C4×C17C2414yes—
654C4⋊C4×C17C2414yes—
655C4⋊C4×C17C2414yes—
656C4⋊C4×C17C2414yes—
657C4⋊C4×C17C2414yes—
658C22⋊C4×C17C2414yes—
659C22⋊C4×C17C2414yes—
660C22⋊C4×C17C2414yes—
661C22⋊C4×C17C2414yes—
662C22⋊C4×C17C2414yes—
663C22⋊C4×C17C2414yes—
664C22⋊C4×C17C2414yes—
665C22⋊C4×C17C2414yes—
666C42×C17C2414yes—
667C42×C17C2414yes—
668C42×C17C2414yes—
669C42×C17C2414yes—
670C42×C17C2414yes—
671C22⋊Dic17C2414yes—
672C22⋊Dic17C2414yes—
673C22⋊Dic17C2414yes—
674C22⋊Dic17C2414yes—
675C22⋊Dic17C2414yes—
676C22⋊Dic17C2414yes—
677#63227C2414yes—
678#63227C2414yes—
679#63227C2414yes—
680#63227C2414yes—
681#63227C2414yes—
682#63227C2414yes—
683#63227C2414yes—
684#63227C2414yes—
685#63227C2414yes—
686#63227C2414yes—
687#63227C2414yes—
688#63227C2414yes—
689#63227C2414yes—
690#63227C2414yes—
691#63227C2414yes—
692#63227C2414yes—
693#63227C2414yes—
694#63227C2414yes—
695#63227C2414yes—
696#63227C2414yes—
697#63227C2414yes—
698#63227C2414yes—
699#63227C2414yes—
700#63227C2414yes—
701C4⋊Dic17C2414yes—
702C4⋊Dic17C2414yes—
703C4⋊Dic17C2414yes—
704C4⋊Dic17C2414yes—
705C4⋊Dic17C2414yes—
706C4⋊Dic17C2414yes—
707C4⋊Dic17C2414yes—
708C4⋊Dic17C2414yes—
709C4⋊Dic17C2414yes—
710C4⋊Dic17C2414yes—
711#63225C2414yes—
712#63225C2414yes—
713#63225C2414yes—
714#63225C2414yes—
715#63225C2414yes—
716#63225C2414yes—
717#63225C2414yes—
718#63225C2414yes—
719#63225C2414yes—
720#63225C2414yes—
721#63225C2414yes—
722#63225C2414yes—
723#63225C2414yes—
724#63225C2414yes—
725#63225C2414yes—
726#63225C2414yes—
727#63225C2414yes—
728#63225C2414yes—
729#63225C2414yes—
730#63225C2414yes—
731#63225C2414yes—
732#63225C2414yes—
733#63225C2414yes—
734#63225C2414yes—
735#63225C2414yes—
736#63225C2414yes—
737#63225C2414yes—
738#63225C2414yes—
739#63225C2414yes—
740#63225C2414yes—
741#63225C2414yes—
742#63225C2414yes—
743C4×Dic17C2414yes—
744C4×Dic17C2414yes—
745C4×Dic17C2414yes—
746C4×Dic17C2414yes—
747C4×Dic17C2414yes—
748C4×Dic17C2414yes—
749C4×Dic17C2414yes—
750C4×Dic17C2414yes—
751C4×Dic17C2414yes—
752C4×Dic17C2414yes—
753C4×Dic17C2414yes—
754C4×Dic17C2414yes—
755C4×Dic17C2414yes—
756C4×Dic17C2414yes—
757C4×Dic17C2414yes—
758C4×Dic17C2414yes—
759C4×Dic17C2414yes—
760C2×#3495—171nomaximal, Sylow
761C23×C17—22no—
762C23×C17—22no—
763C23×C17—22no—
764C23×C17—22no—
765C23×C17—22no—
766C23×C17C2×#4114yes—
767C23×C17C2512yes—
768C23×C17C2512yes—
769C23×C17C2511yescharacteristic
770C22×D17—22no—
771C22×D17—22no—
772C22×D17—28no—
773C22×D17—22no—
774C22×D17—22no—
775C22×D17—22no—
776C22×D17—22no—
777C22×D17—22no—
778C22×D17—22no—
779C22×D17—28no—
780C22×D17—44no—
781C22×D17—416no—
782C22×D172−1+414yes—
783C22×D17C2512yes—
784C22×D17C2512yes—
785C22×D17C2512yes—
786Q8×C17—44no—
787D4×C17—28no—
788C2×C4×C17—28no—
789C2×C4×C17—22no—
790C2×C4×C17—22no—
791C2×C4×C17—22no—
792C2×C4×C17—28no—
793C2×C4×C17—22no—
794C2×C4×C17—22no—
795C2×C4×C17—22no—
796C2×C4×C17—22no—
797C2×C4×C17—22no—
798C2×C4×C17—22no—
799C2×C4×C17—22no—
800C2×C4×C17—22no—
801C2×C4×C17—22no—
802C2×C4×C17—22no—
803C2×C4×C17—44no—
804C2×C4×C17—44no—
805C2×C4×C17C2512yes—
806C2×C4×C17C2512yes—
807C2×C4×C17C2512yes—
808C2×C4×C17C2512yes—
809C2×C4×C17C2512yes—
810C2×C4×C17C2512yes—
811C2×C4×C17C2512yes—
812C2×C4×C17C2512yes—
813C2×C4×C17C2512yes—
814C2×C4×C17C2512yes—
815C2×C4×C17C2512yes—
816C2×C4×C17C2512yes—
817C2×C4×C17C2512yes—
818C22⋊D17—28no—
819C22⋊D17—28no—
820C22⋊D17—28no—
821C22⋊D17—44no—
822C2×Dic17—28no—
823C2×Dic17—22no—
824C2×Dic17—22no—
825C2×Dic17—22no—
826C2×Dic17—22no—
827C2×Dic17—22no—
828C2×Dic17—22no—
829C2×Dic17—22no—
830C2×Dic17—22no—
831C2×Dic17—22no—
832C2×Dic17—22no—
833C2×Dic17—22no—
834C2×Dic17—28no—
835C2×Dic17—44no—
836C2×Dic17—44no—
837C2×Dic17C2×#4114yes—
838C2×Dic17C2×#4114yes—
839C2×Dic17C2×#41116yes—
840C2×Dic17C2512yes—
841C2×Dic17C2512yes—
842C2×Dic17C2512yes—
843C2×Dic17C2512yes—
844C2×Dic17C2512yes—
845C2×Dic17C2512yes—
846C2×Dic17C2512yes—
847C2×Dic17C2512yes—
848C2×Dic17C2512yes—
849C2×Dic17C2512yes—
850C2×Dic17C2512yes—
851C2×Dic17C2512yes—
852C2×Dic17C2512yes—
853D68—28no—
854D68—44no—
855C4×D17—28no—
856C4×D17—28no—
857C4×D17—28no—
858C4×D17—28no—
859C4×D17—28no—
860C4×D17—28no—
861C4×D17—28no—
862C4×D17—44no—
863C4×D17—44no—
864C4×D17—44no—
865C4×D17—44no—
866Dic34—28no—
867Dic34—28no—
868Dic34—28no—
869Dic34—28no—
870Dic34—28no—
871Dic34—44no—
872Dic34—44no—
873Dic34—44no—
874#3495—1732no—
875C2×#556—171no—
876C2×#556—171no—
877C2×#554—171no—
878C2×#554—171no—
879C2×#552—171no—
880C2×#552—171no—
881C2×#552—171no—
882C2×#552—171no—
883C2×#552—171no—
884C2×#552—171no—
885C2×#552—171no—
886C2×#552D1711yescharacteristic, complemented
887C2×#551—171no—
888C2×#551—171no—
889C2×#551—171no—
890C2×#551—171no—
891C2×#544—171no—
892C2×#542—171no—
893C2×#542—171no—
894C2×#541—171no—
895C2×#541—171no—
896C2×#536—171no—
897C2×#533—171no—
898C2×#533—171no—
899C2×#529—171no—
900C2×#529—171no—
901C2×#525—171no—
902C22×C22⋊Q8—171no—
903C2×#520—171no—
904C2×#519—171no—
905C22×#117—171no—
906C22×C17—22no—
907C22×C17—22no—
908C22×C17—28no—
909C22×C17—22no—
910C22×C17—22no—
911C22×C17—22no—
912C22×C17—44no—
913C22×C17C22×#4114yes—
914C22×C17C22×#4112yes—
915C22×C17C2×2−1+412yes—
916C22×C17#58512yes—
917C22×C17C2611yescharacteristic
918C2×D17—22no—
919C2×D17—22no—
920C2×D17—28no—
921C2×D17—22no—
922C2×D17—22no—
923C2×D17—22no—
924C2×D17—22no—
925C2×D17—22no—
926C2×D17—22no—
927C2×D17—416no—
928C2×D17—44no—
929C2×D17—44no—
930C2×D17C2×2−1+414yes—
931C4×C17—22no—
932C4×C17—22no—
933C4×C17—22no—
934C4×C17—22no—
935C4×C17—22no—
936C4×C17—22no—
937C4×C17—22no—
938C4×C17—22no—
939C4×C17—22no—
940C4×C17—22no—
941C4×C17—22no—
942C4×C17—22no—
943C4×C17—22no—
944Dic17—22no—
945Dic17—22no—
946Dic17—22no—
947Dic17—22no—
948Dic17—22no—
949Dic17—22no—
950Dic17—22no—
951Dic17—22no—
952Dic17—22no—
953Dic17—22no—
954Dic17—22no—
955Dic17C22×#4114yes—
956Dic17C22×#4114yes—
957C22×#41—171no—
958C23×Q8—171no—
959C24×C4—171no—
960#556—1716no—
961#556—1716no—
962#554—1716no—
963#554—1716no—
964#552—1716no—
965#552—1716no—
966#552—1716no—
967#552—1716no—
968#552—1716no—
969#552—1716no—
970#552—1716no—
971#552C2×D17116yescomplemented
972#551—1716no—
973#551—1716no—
974#551—1716no—
975#551—1716no—
976#544—1716no—
977#542—1716no—
978#542—1716no—
979#541—1716no—
980#541—1716no—
981#536—1716no—
982#533—1716no—
983#533—1716no—
984C2×C4⋊Q8—171no—
985C2×C4⋊Q8—171no—
986C2×C4⋊Q8—171no—
987C2×C4⋊Q8—171no—
988C2×C4⋊Q8—171no—
989C2×C4⋊Q8—171no—
990#529—1716no—
991#529—1716no—
992C2×#126—171no—
993C2×#126—171no—
994C2×#126—171no—
995C2×#126—171no—
996C2×#126—171no—
997C2×#126—171no—
998C2×#126—171no—
999C2×#126—171no—
1000C2×#126—171no—
1001C2×#126—171no—
1002C2×#126—171no—
1003C2×#126—171no—
1004C2×#126—171no—
1005C2×#126—171no—
1006C2×#126C2×D1711yescharacteristic, complemented
1007C2×#126C2×D1711yescharacteristic, complemented
1008C2×#125—171no—
1009C2×#125—171no—
1010C2×#125—171no—
1011C2×#125—171no—
1012C2×#125—171no—
1013C2×#125—171no—
1014C2×#125—171no—
1015C2×#125—171no—
1016C2×#125—171no—
1017C2×#125—171no—
1018C2×#125—171no—
1019C2×#125—171no—
1020C2×#125—171no—
1021C2×#125C2×D1711yescharacteristic, complemented
1022C2×#125C2×D1711yescharacteristic, complemented
1023C2×#125C2×D1711yescharacteristic, complemented
1024C2×#124—171no—
1025C2×#124—171no—
1026C2×#124—171no—
1027C2×#124—171no—
1028C2×#124—171no—
1029C2×#124—171no—
1030#525—1716no—
1031C2×#123—171no—
1032C2×#123—171no—
1033C2×#123—171no—
1034C2×#123—171no—
1035C2×#123—171no—
1036C2×#123—171no—
1037C2×#123—171no—
1038C2×#123—171no—
1039C2×#123—171no—
1040C2×#123—171no—
1041C2×#123—171no—
1042C2×#123—171no—
1043C2×#123C2×D1711yescharacteristic
1044C2×#123C2×D1711yescharacteristic
1045C2×C22⋊Q8—171no—
1046C2×C22⋊Q8—171no—
1047C2×C22⋊Q8—171no—
1048C2×C22⋊Q8—171no—
1049C2×C22⋊Q8—171no—
1050C2×C22⋊Q8—171no—
1051C2×C22⋊Q8—171no—
1052C2×C22⋊Q8—171no—
1053C2×C22⋊Q8—171no—
1054C2×C22⋊Q8—171no—
1055C2×C22⋊Q8—1716no—
1056C2×C22⋊Q8—171no—
1057C2×C22⋊Q8—171no—
1058C2×C22⋊Q8—171no—
1059C2×C22⋊Q8—171no—
1060C2×C22⋊Q8—171no—
1061C2×C22⋊Q8—171no—
1062C2×C22⋊Q8—171no—
1063C2×C22⋊Q8—171no—
1064C2×C22⋊Q8—171no—
1065C2×C22⋊Q8—171no—
1066C2×C22⋊Q8—171no—
1067C2×C22⋊Q8—171no—
1068C2×C22⋊Q8—171no—
1069C2×C22⋊Q8—171no—
1070C2×C22⋊Q8C2×D1711yescharacteristic
1071C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1072C2×#121—171no—
1073C2×#121—171no—
1074C2×#120—171no—
1075C2×#120—171no—
1076#520—1716no—
1077#519—1716no—
1078C2×C4×Q8—171no—
1079C2×C4×Q8—171no—
1080C2×C4×Q8—171no—
1081C2×C4×Q8—171no—
1082C2×C4×Q8—171no—
1083C2×C4×Q8—171no—
1084C2×C4×Q8—171no—
1085C2×C4×Q8—171no—
1086C2×C4×Q8—171no—
1087C2×C4×Q8—171no—
1088C2×C4×Q8—171no—
1089C2×C4×Q8—171no—
1090C2×C4×Q8—171no—
1091C2×C4×Q8C2×D1711yescharacteristic, complemented
1092C2×C4×D4—171no—
1093C2×C4×D4—171no—
1094C2×C4×D4—171no—
1095C2×C4×D4—171no—
1096C2×C4×D4—171no—
1097C2×C4×D4—171no—
1098C2×C4×D4—171no—
1099C2×C4×D4—171no—
1100C2×C4×D4—171no—
1101C2×C4×D4—171no—
1102C2×C4×D4—171no—
1103C2×C4×D4—171no—
1104C2×C4×D4—171no—
1105C2×C4×D4C2×D1711yescharacteristic
1106C2×#117—171no—
1107C2×#117—171no—
1108C2×#117—1716no—
1109C2×#117—171no—
1110C2×#117—171no—
1111C2×#117—171no—
1112C2×#117—171no—
1113C2×#117—171no—
1114C2×#117—171no—
1115C2×#117—171no—
1116C2×#117—171no—
1117C2×#117—171no—
1118C2×#117—171no—
1119C2×#117—171no—
1120C2×#117—171no—
1121C2×#117—171no—
1122C2×#117—171no—
1123C2×#117—171no—
1124C2×#117—171no—
1125C2×#117—171no—
1126C2×#117—171no—
1127C2×#117C2×D1711yescharacteristic
1128C2×#117C2×D1711yescharacteristic
1129C2×#117C2×D1711yescharacteristic, complemented
1130C22×C4⋊C4—171no—
1131C22×C4⋊C4—171no—
1132C22×C4⋊C4—171no—
1133C22×C4⋊C4—171no—
1134C22×C4⋊C4—171no—
1135C22×C4⋊C4—171no—
1136C22×C4⋊C4C2×D1711yescharacteristic
1137C22×C22⋊C4—171no—
1138C22×C22⋊C4—171no—
1139C22×C22⋊C4—171no—
1140C22×C22⋊C4—171no—
1141C22×C42—171no—
1142C22×C42—171no—
1143C2×C17—24no—
1144C2×C17—42no—
1145C2×C17#349514yescomplemented
1146C2×C17C23×#4111yescharacteristic
1147C2×C17C22×2−1+411yescharacteristic
1148C2×C17C2×#58511yescharacteristic
1149D17—24no—
1150D17—42no—
1151D17—42no—
1152C25—171no—
1153C2×#41—178no—
1154C2×#41—348no—
1155C22×Q8—171no—
1156C22×Q8—171no—
1157C22×Q8—171no—
1158C22×Q8—171no—
1159C22×Q8—171no—
1160C22×Q8—178no—
1161C22×Q8—171no—
1162C22×Q8—171no—
1163C22×Q8—171no—
1164C22×Q8—348no—
1165C22×Q8C22×D1711yescharacteristic
1166C22×D4—171no—
1167C22×D4—171no—
1168C22×D4—171no—
1169C22×D4—171no—
1170C22×D4—171no—
1171C22×D4—171no—
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—178no—
1185C23×C4—171no—
1186C23×C4—171no—
1187C23×C4—171no—
1188C23×C4—171no—
1189C23×C4—171no—
1190C23×C4—348no—
1191C23×C4C22×D1711yescharacteristic
1192C23×C4C22×D1711yescharacteristic
1193C23×C4C22×D1711yescharacteristic
1194C23×C4C22×D1711yescharacteristic
1195C4⋊Q8—178no—
1196C4⋊Q8—178no—
1197C4⋊Q8—178no—
1198C4⋊Q8—178no—
1199C4⋊Q8—178no—
1200C4⋊Q8—178no—
1201#126—178no—
1202#126—178no—
1203#126—178no—
1204#126—178no—
1205#126—178no—
1206#126—178no—
1207#126—178no—
1208#126—178no—
1209#126—178no—
1210#126—178no—
1211#126—178no—
1212#126—178no—
1213#126—178no—
1214#126—178no—
1215#126C22×D1718yescomplemented
1216#126C22×D1718yescomplemented
1217#125—178no—
1218#125—178no—
1219#125—178no—
1220#125—178no—
1221#125—178no—
1222#125—178no—
1223#125—178no—
1224#125—178no—
1225#125—178no—
1226#125—178no—
1227#125—178no—
1228#125—178no—
1229#125—178no—
1230#125C22×D1718yescomplemented
1231#125C22×D1718yescomplemented
1232#125C22×D1718yescomplemented
1233#124—178no—
1234#124—178no—
1235#124—178no—
1236#124—178no—
1237#124—178no—
1238#124—178no—
1239#123—178no—
1240#123—178no—
1241#123—178no—
1242#123—178no—
1243#123—178no—
1244#123—178no—
1245#123—178no—
1246#123—178no—
1247#123—178no—
1248#123—178no—
1249#123—178no—
1250#123—178no—
1251#123C22×D1718yes—
1252#123C22×D1718yes—
1253C22⋊Q8—178no—
1254C22⋊Q8—178no—
1255C22⋊Q8—178no—
1256C22⋊Q8—178no—
1257C22⋊Q8—178no—
1258C22⋊Q8—178no—
1259C22⋊Q8—178no—
1260C22⋊Q8—178no—
1261C22⋊Q8—178no—
1262C22⋊Q8—178no—
1263C22⋊Q8—178no—
1264C22⋊Q8—178no—
1265C22⋊Q8—178no—
1266C22⋊Q8—178no—
1267C22⋊Q8—178no—
1268C22⋊Q8—178no—
1269C22⋊Q8—178no—
1270C22⋊Q8—178no—
1271C22⋊Q8—178no—
1272C22⋊Q8—178no—
1273C22⋊Q8—178no—
1274C22⋊Q8—178no—
1275C22⋊Q8—178no—
1276C22⋊Q8—178no—
1277C22⋊Q8C22×D1718yes—
1278C22⋊Q8C22×D1718yescomplemented
1279#121—178no—
1280#121—178no—
1281#120—178no—
1282#120—178no—
1283C4×Q8—178no—
1284C4×Q8—178no—
1285C4×Q8—178no—
1286C4×Q8—178no—
1287C4×Q8—178no—
1288C4×Q8—178no—
1289C4×Q8—178no—
1290C4×Q8—178no—
1291C4×Q8—178no—
1292C4×Q8—178no—
1293C4×Q8—178no—
1294C4×Q8—178no—
1295C4×Q8—178no—
1296C4×Q8C22×D1718yescomplemented
1297C4×D4—178no—
1298C4×D4—178no—
1299C4×D4—178no—
1300C4×D4—178no—
1301C4×D4—178no—
1302C4×D4—178no—
1303C4×D4—178no—
1304C4×D4—178no—
1305C4×D4—178no—
1306C4×D4—178no—
1307C4×D4—178no—
1308C4×D4—178no—
1309C4×D4—178no—
1310C4×D4C22×D1718yes—
1311#117—178no—
1312#117—178no—
1313#117—178no—
1314#117—178no—
1315#117—178no—
1316#117—178no—
1317#117—178no—
1318#117—178no—
1319#117—178no—
1320#117—178no—
1321#117—178no—
1322#117—178no—
1323#117—178no—
1324#117—178no—
1325#117—178no—
1326#117—178no—
1327#117—178no—
1328#117—178no—
1329#117—178no—
1330#117—178no—
1331#117C22×D1718yes—
1332#117C22×D1718yes—
1333#117C22×D1718yescomplemented
1334C2×C4⋊C4—171no—
1335C2×C4⋊C4—171no—
1336C2×C4⋊C4—171no—
1337C2×C4⋊C4—171no—
1338C2×C4⋊C4—171no—
1339C2×C4⋊C4—171no—
1340C2×C4⋊C4—171no—
1341C2×C4⋊C4—171no—
1342C2×C4⋊C4—171no—
1343C2×C4⋊C4—171no—
1344C2×C4⋊C4—171no—
1345C2×C4⋊C4—171no—
1346C2×C4⋊C4—171no—
1347C2×C4⋊C4—171no—
1348C2×C4⋊C4—171no—
1349C2×C4⋊C4—178no—
1350C2×C4⋊C4—178no—
1351C2×C4⋊C4—171no—
1352C2×C4⋊C4—171no—
1353C2×C4⋊C4—178no—
1354C2×C4⋊C4—171no—
1355C2×C4⋊C4—171no—
1356C2×C4⋊C4—171no—
1357C2×C4⋊C4—171no—
1358C2×C4⋊C4—171no—
1359C2×C4⋊C4—171no—
1360C2×C4⋊C4—171no—
1361C2×C4⋊C4—171no—
1362C2×C4⋊C4—171no—
1363C2×C4⋊C4—171no—
1364C2×C4⋊C4—171no—
1365C2×C4⋊C4—171no—
1366C2×C4⋊C4—171no—
1367C2×C4⋊C4—171no—
1368C2×C4⋊C4—171no—
1369C2×C4⋊C4—171no—
1370C2×C4⋊C4—171no—
1371C2×C4⋊C4—171no—
1372C2×C4⋊C4—171no—
1373C2×C4⋊C4—171no—
1374C2×C4⋊C4—171no—
1375C2×C4⋊C4—171no—
1376C2×C4⋊C4—171no—
1377C2×C4⋊C4—171no—
1378C2×C4⋊C4—171no—
1379C2×C4⋊C4—178no—
1380C2×C4⋊C4—178no—
1381C2×C4⋊C4—178no—
1382C2×C4⋊C4C22×D1711yescharacteristic
1383C2×C4⋊C4C22×D1711yescharacteristic
1384C2×C4⋊C4C22×D1711yescharacteristic
1385C2×C4⋊C4C22×D1711yescharacteristic
1386C2×C4⋊C4C22×D1711yescharacteristic
1387C2×C4⋊C4C22×D1711yescharacteristic
1388C2×C4⋊C4C22×D1711yescharacteristic
1389C2×C4⋊C4C22×D1718yes—
1390C2×C4⋊C4C22×D1711yescharacteristic
1391C2×C4⋊C4C22×D1711yescharacteristic
1392C2×C4⋊C4C22×D1711yescharacteristic
1393C2×C4⋊C4C22×D1711yescharacteristic
1394C2×C4⋊C4C22×D1711yescharacteristic
1395C2×C4⋊C4C22×D1711yescharacteristic
1396C2×C4⋊C4C22×D1711yescharacteristic
1397C2×C4⋊C4C22×D1711yescharacteristic
1398C2×C4⋊C4C22×D1711yescharacteristic
1399C2×C22⋊C4—171no—
1400C2×C22⋊C4—171no—
1401C2×C22⋊C4—171no—
1402C2×C22⋊C4—171no—
1403C2×C22⋊C4—171no—
1404C2×C22⋊C4—171no—
1405C2×C22⋊C4—171no—
1406C2×C22⋊C4—171no—
1407C2×C22⋊C4—171no—
1408C2×C22⋊C4—171no—
1409C2×C22⋊C4—171no—
1410C2×C22⋊C4—171no—
1411C2×C22⋊C4—171no—
1412C2×C22⋊C4—171no—
1413C2×C22⋊C4—171no—
1414C2×C22⋊C4—171no—
1415C2×C22⋊C4—171no—
1416C2×C22⋊C4—171no—
1417C2×C22⋊C4—178no—
1418C2×C22⋊C4—178no—
1419C2×C22⋊C4—171no—
1420C2×C22⋊C4—171no—
1421C2×C22⋊C4—171no—
1422C2×C22⋊C4—171no—
1423C2×C22⋊C4—171no—
1424C2×C22⋊C4—171no—
1425C2×C22⋊C4—171no—
1426C2×C22⋊C4—171no—
1427C2×C22⋊C4—171no—
1428C2×C22⋊C4—171no—
1429C2×C22⋊C4—171no—
1430C2×C22⋊C4—171no—
1431C2×C22⋊C4—178no—
1432C2×C22⋊C4—178no—
1433C2×C22⋊C4C22×D1711yescharacteristic
1434C2×C22⋊C4C22×D1711yescharacteristic
1435C2×C22⋊C4C22×D1711yescharacteristic
1436C2×C22⋊C4C22×D1711yescharacteristic
1437C2×C22⋊C4C22×D1711yescharacteristic
1438C2×C22⋊C4C22×D1711yescharacteristic
1439C2×C22⋊C4C22×D1711yescharacteristic
1440C2×C22⋊C4C22×D1711yescharacteristic
1441C2×C42—171no—
1442C2×C42—171no—
1443C2×C42—171no—
1444C2×C42—171no—
1445C2×C42—171no—
1446C2×C42—171no—
1447C2×C42—171no—
1448C2×C42—171no—
1449C2×C42—171no—
1450C2×C42—171no—
1451C2×C42—171no—
1452C2×C42—171no—
1453C2×C42—171no—
1454C2×C42—171no—
1455C2×C42—171no—
1456C2×C42—171no—
1457C2×C42—171no—
1458C2×C42—178no—
1459C2×C42—178no—
1460C2×C42C22×D1711yescharacteristic
1461C2×C42C22×D1711yescharacteristic
1462C2×C42C22×D1711yescharacteristic
1463C2×C42C22×D1711yescharacteristic
1464C2×C42C22×D1711yescharacteristic
1465C17C2×#349511yescharacteristic, complemented, Sylow
1466C24—171no—
1467C24—171no—
1468C24—171no—
1469C24—174no—
1470C24—344no—
1471C24—344no—
1472C24—682no—
1473C24C23×D1711yescharacteristic
1474C24C23×D1711yescharacteristic
1475#41—3432no—
1476C2×Q8—42no—
1477C2×Q8—174no—
1478C2×Q8—174no—
1479C2×Q8—174no—
1480C2×Q8—174no—
1481C2×Q8—174no—
1482C2×Q8—174no—
1483C2×Q8—174no—
1484C2×Q8—174no—
1485C2×Q8—344no—
1486C2×Q8—344no—
1487C2×Q8—344no—
1488C2×Q8—344no—
1489C2×Q8—3432no—
1490C2×Q8—344no—
1491C2×Q8—682no—
1492C2×Q8—682no—
1493C2×Q8—682no—
1494C2×Q8C23×D1714yes—
1495C2×D4—24no—
1496C2×D4—174no—
1497C2×D4—174no—
1498C2×D4—174no—
1499C2×D4—174no—
1500C2×D4—174no—
1501C2×D4—174no—
1502C2×D4—344no—
1503C2×D4—344no—
1504C2×D4—344no—
1505C2×D4—344no—
1506C2×D4—682no—
1507C2×D4—682no—
1508C2×D4C23×D1714yes—
1509C22×C4—24no—
1510C22×C4—24no—
1511C22×C4—42no—
1512C22×C4—42no—
1513C22×C4—178no—
1514C22×C4—174no—
1515C22×C4—171no—
1516C22×C4—171no—
1517C22×C4—174no—
1518C22×C4—174no—
1519C22×C4—171no—
1520C22×C4—171no—
1521C22×C4—171no—
1522C22×C4—171no—
1523C22×C4—171no—
1524C22×C4—171no—
1525C22×C4—171no—
1526C22×C4—171no—
1527C22×C4—171no—
1528C22×C4—171no—
1529C22×C4—171no—
1530C22×C4—174no—
1531C22×C4—174no—
1532C22×C4—174no—
1533C22×C4—174no—
1534C22×C4—174no—
1535C22×C4—174no—
1536C22×C4—174no—
1537C22×C4—174no—
1538C22×C4—174no—
1539C22×C4—174no—
1540C22×C4—174no—
1541C22×C4—174no—
1542C22×C4—174no—
1543C22×C4—344no—
1544C22×C4—344no—
1545C22×C4—344no—
1546C22×C4—344no—
1547C22×C4—3432no—
1548C22×C4—344no—
1549C22×C4—344no—
1550C22×C4—344no—
1551C22×C4—344no—
1552C22×C4—344no—
1553C22×C4—682no—
1554C22×C4—682no—
1555C22×C4—682no—
1556C22×C4—682no—
1557C22×C4—682no—
1558C22×C4—682no—
1559C22×C4C23×D1714yes—
1560C22×C4C23×D1714yes—
1561C22×C4C23×D1711yescharacteristic
1562C22×C4C23×D1711yescharacteristic
1563C22×C4C23×D1711yescharacteristic
1564C22×C4C23×D1711yescharacteristic
1565C22×C4C23×D1711yescharacteristic
1566C22×C4C23×D1711yescharacteristic
1567C22×C4C23×D1711yescharacteristic
1568C22×C4C23×D1711yescharacteristic
1569C22×C4C23×D1711yescharacteristic
1570C22×C4C23×D1711yescharacteristic
1571C22×C4C23×D1711yescharacteristic
1572C22×C4C23×D1711yescharacteristic
1573C22×C4C23×D1711yescharacteristic
1574C22×C4C23×D1714yes—
1575C22×C4C23×D1714yes—
1576C4⋊C4—174no—
1577C4⋊C4—174no—
1578C4⋊C4—174no—
1579C4⋊C4—174no—
1580C4⋊C4—174no—
1581C4⋊C4—174no—
1582C4⋊C4—174no—
1583C4⋊C4—174no—
1584C4⋊C4—174no—
1585C4⋊C4—174no—
1586C4⋊C4—174no—
1587C4⋊C4—174no—
1588C4⋊C4—174no—
1589C4⋊C4—174no—
1590C4⋊C4—174no—
1591C4⋊C4—174no—
1592C4⋊C4—174no—
1593C4⋊C4—174no—
1594C4⋊C4—174no—
1595C4⋊C4—174no—
1596C4⋊C4—174no—
1597C4⋊C4—174no—
1598C4⋊C4—174no—
1599C4⋊C4—174no—
1600C4⋊C4—174no—
1601C4⋊C4—174no—
1602C4⋊C4—174no—
1603C4⋊C4—174no—
1604C4⋊C4—174no—
1605C4⋊C4—174no—
1606C4⋊C4—174no—
1607C4⋊C4—174no—
1608C4⋊C4—174no—
1609C4⋊C4—174no—
1610C4⋊C4—174no—
1611C4⋊C4—174no—
1612C4⋊C4—174no—
1613C4⋊C4—174no—
1614C4⋊C4—174no—
1615C4⋊C4—174no—
1616C4⋊C4—174no—
1617C4⋊C4—174no—
1618C4⋊C4C23×D1714yes—
1619C4⋊C4C23×D1714yes—
1620C4⋊C4C23×D1714yes—
1621C4⋊C4C23×D1714yes—
1622C4⋊C4C23×D1714yes—
1623C4⋊C4C23×D1714yes—
1624C4⋊C4C23×D1714yes—
1625C4⋊C4C23×D1714yes—
1626C4⋊C4C23×D1714yes—
1627C4⋊C4C23×D1714yes—
1628C4⋊C4C23×D1714yes—
1629C4⋊C4C23×D1714yes—
1630C4⋊C4C23×D1714yes—
1631C4⋊C4C23×D1714yes—
1632C4⋊C4C23×D1714yes—
1633C4⋊C4C23×D1714yes—
1634C22⋊C4—174no—
1635C22⋊C4—174no—
1636C22⋊C4—174no—
1637C22⋊C4—174no—
1638C22⋊C4—174no—
1639C22⋊C4—174no—
1640C22⋊C4—174no—
1641C22⋊C4—174no—
1642C22⋊C4—174no—
1643C22⋊C4—174no—
1644C22⋊C4—174no—
1645C22⋊C4—174no—
1646C22⋊C4—174no—
1647C22⋊C4—174no—
1648C22⋊C4—174no—
1649C22⋊C4—174no—
1650C22⋊C4—174no—
1651C22⋊C4—174no—
1652C22⋊C4—174no—
1653C22⋊C4—174no—
1654C22⋊C4—174no—
1655C22⋊C4—174no—
1656C22⋊C4—174no—
1657C22⋊C4—174no—
1658C22⋊C4—174no—
1659C22⋊C4—174no—
1660C22⋊C4—174no—
1661C22⋊C4—174no—
1662C22⋊C4—174no—
1663C22⋊C4—174no—
1664C22⋊C4C23×D1714yes—
1665C22⋊C4C23×D1714yes—
1666C22⋊C4C23×D1714yes—
1667C22⋊C4C23×D1714yes—
1668C22⋊C4C23×D1714yes—
1669C22⋊C4C23×D1714yes—
1670C22⋊C4C23×D1714yes—
1671C22⋊C4C23×D1714yes—
1672C42—174no—
1673C42—174no—
1674C42—174no—
1675C42—174no—
1676C42—174no—
1677C42—174no—
1678C42—174no—
1679C42—174no—
1680C42—174no—
1681C42—174no—
1682C42—174no—
1683C42—174no—
1684C42—174no—
1685C42—174no—
1686C42—174no—
1687C42—174no—
1688C42—174no—
1689C42C23×D1714yes—
1690C42C23×D1714yes—
1691C42C23×D1714yes—
1692C42C23×D1714yes—
1693C42C23×D1714yes—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—174no—
1700C23—172no—
1701C23—172no—
1702C23—172no—
1703C23—348no—
1704C23—342no—
1705C23—342no—
1706C23—348no—
1707C23—342no—
1708C23—342no—
1709C23—342no—
1710C23—342no—
1711C23—342no—
1712C23—342no—
1713C23—684no—
1714C23—6816no—
1715C23#41×D1714yes—
1716C23C24×D1712yes—
1717C23C24×D1712yes—
1718C23C24×D1711yescharacteristic
1719Q8—44no—
1720Q8—348no—
1721Q8—348no—
1722Q8—348no—
1723Q8—348no—
1724Q8—348no—
1725Q8—684no—
1726Q8—684no—
1727Q8—684no—
1728D4—28no—
1729D4—348no—
1730D4—348no—
1731D4—348no—
1732D4—348no—
1733D4—684no—
1734D4—684no—
1735C2×C4—28no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—28no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—174no—
1753C2×C4—174no—
1754C2×C4—1716no—
1755C2×C4—172no—
1756C2×C4—172no—
1757C2×C4—172no—
1758C2×C4—172no—
1759C2×C4—172no—
1760C2×C4—172no—
1761C2×C4—172no—
1762C2×C4—172no—
1763C2×C4—172no—
1764C2×C4—172no—
1765C2×C4—172no—
1766C2×C4—172no—
1767C2×C4—172no—
1768C2×C4—348no—
1769C2×C4—348no—
1770C2×C4—348no—
1771C2×C4—348no—
1772C2×C4—348no—
1773C2×C4—348no—
1774C2×C4—348no—
1775C2×C4—348no—
1776C2×C4—342no—
1777C2×C4—348no—
1778C2×C4—342no—
1779C2×C4—342no—
1780C2×C4—342no—
1781C2×C4—342no—
1782C2×C4—342no—
1783C2×C4—342no—
1784C2×C4—342no—
1785C2×C4—342no—
1786C2×C4—342no—
1787C2×C4—342no—
1788C2×C4—684no—
1789C2×C4—684no—
1790C2×C4—684no—
1791C2×C4—684no—
1792C2×C4—684no—
1793C2×C4—684no—
1794C2×C4C24×D1712yes—
1795C2×C4C24×D1712yes—
1796C2×C4C24×D1712yes—
1797C2×C4C24×D1712yes—
1798C2×C4C24×D1712yes—
1799C2×C4C24×D1712yes—
1800C2×C4C24×D1712yes—
1801C2×C4C24×D1712yes—
1802C2×C4C24×D1712yes—
1803C2×C4C24×D1712yes—
1804C2×C4C24×D1712yes—
1805C2×C4C24×D1712yes—
1806C2×C4C24×D1712yes—
1807C22—28no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—22no—
1813C22—44no—
1814C22—174no—
1815C22—348no—
1816C22—342no—
1817C22—342no—
1818C22—342no—
1819C22—342no—
1820C22—342no—
1821C22—342no—
1822C22—342no—
1823C22—342no—
1824C22—6816no—
1825C22—684no—
1826C22—684no—
1827C22C2×#41×D1714yes—
1828C22C2×#41×D1712yes—
1829C222−1+4×D1712yes—
1830C22#1176364512yes—
1831C22C25×D1711yescharacteristic
1832C4—22no—
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—22no—
1841C4—22no—
1842C4—22no—
1843C4—22no—
1844C4—22no—
1845C4—174no—
1846C4—174no—
1847C4—342no—
1848C4—342no—
1849C4—342no—
1850C4—342no—
1851C4—342no—
1852C4—342no—
1853C4—342no—
1854C4—342no—
1855C4—342no—
1856C4—342no—
1857C4—342no—
1858C2—24no—
1859C2—42no—
1860C2—344no—
1861C2—682no—
1862C2—682no—
1863C2#1454252714yesdirect product factor
1864C2C22×#41×D1711yescharacteristic
1865C2C2×2−1+4×D1711yescharacteristic
1866C2C2×#1176364511yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#552C2
socleC23×C17C25
prime radicalC2×#11763317C2
hypercenterC2×#552D17
hypocenterC17C2×#3495
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. #14542527C2direct (N × H)
2. C2×#11763531C2semidirect
3. C2×#11763526C2semidirect
4. C2×#11763515C2semidirect
5. C2×#11763513C2semidirect
6. C2×#11763496C2semidirect
7. C2×#11763495C2semidirect
8. C2×#11763494C2semidirect
9. C2×#11763492C2semidirect
10. C2×#11763492C2semidirect
11. C2×#11763491C2semidirect
12. C2×#11763491C2semidirect
13. C2×#11763488C2semidirect
14. C2×#11763486C2semidirect
15. C2×#11763483C2semidirect
16. C2×#11763482C2semidirect
17. C2×#11763438C2semidirect
18. C2×#11763429C2semidirect
19. C2×#11763425C2semidirect
20. C2×#11763418C2semidirect
21. C2×#11763418C2semidirect
22. C2×#11763381C2semidirect
23. C2×#11763365C2semidirect
24. C2×#11763363C2semidirect
25. C2×#11763342C2semidirect
26. C2×#11763337C2semidirect
28. C22×#10587582C2semidirect
29. C2×#11763288C2semidirect
30. C2×#11763286C2semidirect
31. C2×#117×D17C2semidirect
32. C2×C17×#552C2semidirect
36. #11763531C22semidirect
37. #11763526C22semidirect
38. #11763515C22semidirect
39. #11763513C22semidirect
40. #11763496C22semidirect
41. #11763495C22semidirect
42. #11763494C22semidirect
43. #11763492C22semidirect
44. #11763492C22semidirect
45. #11763491C22semidirect
46. #11763491C22semidirect
47. #11763488C22semidirect
48. #11763486C22semidirect
49. #11763483C22semidirect
50. #11763482C22semidirect
51. #11763438C22semidirect
52. #11763429C22semidirect
53. #11763425C22semidirect
54. #11763418C22semidirect
55. #11763418C22semidirect
56. #11763381C22semidirect
57. #11763365C22semidirect
58. #11763363C22semidirect
59. C2×#10587574C22semidirect
60. C2×#10587574C22semidirect
61. C2×#10587574C22semidirect
62. C2×#10587574C22semidirect
63. C2×#10587630C22semidirect
64. C2×#10587630C22semidirect
65. #11763342C22semidirect
66. #11763337C22semidirect
73. C2×#10587584C22semidirect
74. C2×#10587584C22semidirect
75. C2×#10587584C22semidirect
78. C2×#10587562C22semidirect
79. C2×#10587565C22semidirect
80. C2×#10587565C22semidirect
81. C2×#10587556C22semidirect
82. C2×#10587576C22semidirect
83. C2×#10587576C22semidirect
84. C2×#10587575C22semidirect
85. C2×#10587575C22semidirect
86. C2×#10587575C22semidirect
87. C2×#10587575C22semidirect
88. C2×#10587575C22semidirect
89. C2×#10587575C22semidirect
90. C2×#10587575C22semidirect
91. C2×#10587575C22semidirect
92. C2×#10587575C22semidirect
93. C2×#10587575C22semidirect
98. C2×#10587571C22semidirect
99. C2×#10587571C22semidirect
114. C2×#10587583C22semidirect
128. C2×#10587582C22semidirect
129. C2×#10587582C22semidirect
130. C2×#10587582C22semidirect
131. C2×#10587582C22semidirect
134. C2×#10587564C22semidirect
135. C2×#10587564C22semidirect
136. C2×#10587564C22semidirect
142. #11763288C22semidirect
143. #11763286C22semidirect
144. C2×C4×Dic34C22semidirect
145. C2×C4×Dic34C22semidirect
146. C2×C4×Dic34C22semidirect
147. C2×C4×Dic34C22semidirect
148. C2×C4×Dic34C22semidirect
149. C2×C4×Dic34C22semidirect
150. C2×#10587573C22semidirect
151. C2×#10587573C22semidirect
152. C2×#10587573C22semidirect
153. C2×#10587573C22semidirect
154. C2×#10587573C22semidirect
155. C2×#10587573C22semidirect
156. C2×#10587573C22semidirect
164. C2×C4×C22⋊D17C22semidirect
169. C2×#10587567C22semidirect
176. C2×#10587578C22semidirect
181. C2×#10587558C22semidirect
182. C2×#10587558C22semidirect
188. C2×#10587563C22semidirect
189. C2×#10587563C22semidirect
190. #117×D17C22semidirect
193. C22×#63225C22semidirect
196. C2×C4⋊C4×D17C22semidirect
203. C17×#552C22semidirect
204. C2×C17×#126C22semidirect
205. C2×C17×#126C22semidirect
206. C2×C17×#125C22semidirect
207. C2×C17×#125C22semidirect
208. C2×C17×#125C22semidirect
212. C2×C17×C22⋊Q8C22semidirect
213. C2×C4×Q8×C17C22semidirect
217. C2×C17×#117C22semidirect
262. C17×#126C23semidirect
263. C17×#126C23semidirect
264. C17×#125C23semidirect
265. C17×#125C23semidirect
266. C17×#125C23semidirect
270. C17×C22⋊Q8C23semidirect
271. C4×Q8×C17C23semidirect
275. C17×#117C23semidirect
314. #10587630C23semidirect
315. #10587630C23semidirect
324. C4×C22⋊D17C23semidirect
398. C2×#63225C23semidirect
422. #10587584C23semidirect
423. #10587584C23semidirect
424. #10587584C23semidirect
426. #10587583C23semidirect
439. #10587582C23semidirect
440. #10587582C23semidirect
441. #10587582C23semidirect
453. #10587578C23semidirect
456. C4⋊C4×D17C23semidirect
457. #10587576C23semidirect
458. #10587576C23semidirect
459. #10587575C23semidirect
460. #10587575C23semidirect
461. #10587575C23semidirect
462. #10587575C23semidirect
463. #10587575C23semidirect
464. #10587575C23semidirect
465. #10587575C23semidirect
466. #10587575C23semidirect
467. #10587575C23semidirect
468. #10587575C23semidirect
469. #10587574C23semidirect
470. #10587574C23semidirect
471. #10587574C23semidirect
472. #10587574C23semidirect
473. #10587573C23semidirect
474. #10587573C23semidirect
475. #10587573C23semidirect
476. #10587573C23semidirect
477. #10587573C23semidirect
478. #10587573C23semidirect
479. #10587573C23semidirect
484. #10587571C23semidirect
485. #10587571C23semidirect
495. #10587567C23semidirect
498. #10587565C23semidirect
499. #10587565C23semidirect
502. #10587564C23semidirect
503. #10587564C23semidirect
504. #10587564C23semidirect
510. #10587563C23semidirect
511. #10587563C23semidirect
514. #10587562C23semidirect
521. #10587558C23semidirect
522. #10587558C23semidirect
525. #10587556C23semidirect
526. C4×Dic34C23semidirect
527. C4×Dic34C23semidirect
528. C4×Dic34C23semidirect
529. C4×Dic34C23semidirect
530. C4×Dic34C23semidirect
531. C4×Dic34C23semidirect
886. C2×#552D17semidirect
971. #552C2×D17semidirect
1006. C2×#126C2×D17semidirect
1007. C2×#126C2×D17semidirect
1021. C2×#125C2×D17semidirect
1022. C2×#125C2×D17semidirect
1023. C2×#125C2×D17semidirect
1071. C2×C22⋊Q8C2×D17semidirect
1091. C2×C4×Q8C2×D17semidirect
1129. C2×#117C2×D17semidirect
1145. C2×C17#3495semidirect
1215. #126C22×D17semidirect
1216. #126C22×D17semidirect
1230. #125C22×D17semidirect
1231. #125C22×D17semidirect
1232. #125C22×D17semidirect
1278. C22⋊Q8C22×D17semidirect
1296. C4×Q8C22×D17semidirect
1333. #117C22×D17semidirect
1465. C17C2×#3495semidirect
1863. C2#14542527direct (N × H)

Maximal subgroups

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

subgroupindex
#145425272
C2×#117635312
C2×#117635262
C2×#117635152
C2×#117635132
C2×#117634962
C2×#117634952
C2×#117634942
C2×#117634922
C2×#117634912
C2×#117634882
C2×#117634862
C2×#117634832
C2×#117634822
C2×#117634382
C2×#117634292
C2×#117634252
C2×#117634182
C2×#117633812
C2×#117633652
C2×#117633632
C2×#117633422
C2×#117633372
C2×#117633172
C22×#105875822
C2×#117632882
C2×#117632862
C2×#117×D172
C2×C17×#5522
C2×#349517