Finite Group Databasebeta

← C2×#14542479 #17942374

Subgroups — C2×#14542479 #17942374

Order 4352.

7390 conjugacy classes of subgroups.

The subgroup lattice has 1940 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542479C2132yesmaximal, direct product factor
2C2×#11763500C211yesmaximal, characteristic, complemented
3C2×#11763497C211yesmaximal, characteristic, complemented
4C2×#11763496C211yesmaximal, characteristic, complemented
5C2×#11763494C211yesmaximal, characteristic, complemented
6C2×#11763492C211yesmaximal, characteristic, complemented
7C2×#11763491C211yesmaximal, characteristic, complemented
8C2×#11763491C211yesmaximal, characteristic, complemented
9C2×#11763488C211yesmaximal, characteristic, complemented
10C2×#11763486C211yesmaximal, characteristic, complemented
11C2×#11763486C211yesmaximal, characteristic, complemented
12C2×#11763484C211yesmaximal, characteristic, complemented
13C2×#11763484C211yesmaximal, characteristic, complemented
14C2×#11763483C211yesmaximal, characteristic, complemented
15C2×#11763483C211yesmaximal, characteristic, complemented
16C2×#11763482C211yesmaximal, characteristic, complemented
17C2×#11763434C211yesmaximal, characteristic, complemented
18C2×#11763407C211yesmaximal, characteristic, complemented
19C2×#11763407C211yesmaximal, characteristic, complemented
20C2×#11763405C211yesmaximal, characteristic, complemented
21C2×#11763400C211yesmaximal, characteristic, complemented
22C2×#11763370C211yesmaximal, characteristic
23C2×#11763346C211yesmaximal, characteristic, complemented
24C2×#11763344C211yesmaximal, characteristic, complemented
25C2×#11763342C211yesmaximal, characteristic, complemented
26C2×#11763337C211yesmaximal, characteristic, complemented
27C22×#10587580C211yesmaximal, characteristic, complemented
28C2×#123×D17C211yesmaximal, characteristic, complemented
29C2×#11763283C211yesmaximal, characteristic, complemented
30C2×#11763281C211yesmaximal, characteristic, complemented
31C2×#117×D17C211yesmaximal, characteristic, complemented
32C2×C17×#552C211yesmaximal, characteristic, complemented
33C23×D68C2211yescharacteristic
34C22×D4×D17C2211yescharacteristic
35C23×C4×D17C2211yescharacteristic
36#11763500C22116yescomplemented
37#11763497C22116yescomplemented
38#11763496C22116yescomplemented
39#11763494C22116yescomplemented
40#11763492C22116yescomplemented
41#11763491C22116yescomplemented
42#11763491C22116yescomplemented
43#11763488C22116yescomplemented
44#11763486C22116yescomplemented
45#11763486C22116yescomplemented
46#11763484C22116yescomplemented
47#11763484C22116yescomplemented
48#11763483C22116yescomplemented
49#11763483C22116yescomplemented
50#11763482C22116yescomplemented
51#11763434C22116yescomplemented
52#11763407C22116yescomplemented
53#11763407C22116yescomplemented
54#11763405C22116yescomplemented
55#11763400C22116yescomplemented
56#11763370C22116yes—
57#11763346C22116yescomplemented
58#11763344C22116yescomplemented
59#11763342C22116yescomplemented
60#11763337C22116yescomplemented
61C2×#10587584C2211yescharacteristic, complemented
62C2×#10587584C2211yescharacteristic, complemented
63C2×#10587584C2211yescharacteristic, complemented
64C2×#10587584C2211yescharacteristic, complemented
65C2×#10587584C2211yescharacteristic, complemented
66C2×#10587584C2211yescharacteristic, complemented
67C2×#10587584C2211yescharacteristic, complemented
68C2×#10587584C2211yescharacteristic, complemented
69C2×#10587584C2211yescharacteristic, complemented
70C2×#10587562C2211yescharacteristic, complemented
71C2×#10587562C2211yescharacteristic, complemented
72C2×#10587562C2211yescharacteristic, complemented
73C2×#10587565C2211yescharacteristic, complemented
74C2×#10587565C2211yescharacteristic, complemented
75C2×#10587556C2211yescharacteristic, complemented
76C2×#10587576C2211yescharacteristic, complemented
77C2×#10587576C2211yescharacteristic, complemented
78C2×#10587575C2211yescharacteristic, complemented
79C2×#10587575C2211yescharacteristic, complemented
80C2×#10587575C2211yescharacteristic, complemented
81C2×#10587575C2211yescharacteristic, complemented
82C2×#10587575C2211yescharacteristic, complemented
83C2×#10587575C2211yescharacteristic, complemented
84C2×#10587633C2211yescharacteristic, complemented
85C2×#10587561C2211yescharacteristic, complemented
86C2×#10587571C2211yescharacteristic, complemented
87C2×#10587571C2211yescharacteristic, complemented
88C2×#10587580C2211yescharacteristic
89C2×#10587580C2211yescharacteristic
90C2×#10587580C2211yescharacteristic
91C2×#10587580C2211yescharacteristic
92C2×#10587580C2211yescharacteristic
93C2×#10587580C2211yescharacteristic
94C2×#10587580C22116yescomplemented
95C2×#10587580C2211yescharacteristic, complemented
96C2×#10587580C2211yescharacteristic, complemented
97C2×#10587580C2211yescharacteristic, complemented
98C2×#10587580C2211yescharacteristic, complemented
99C2×#10587580C2211yescharacteristic, complemented
100C2×#10587580C2211yescharacteristic, complemented
101C2×#10587580C2211yescharacteristic, complemented
102C2×#10587580C2211yescharacteristic, complemented
103C2×#10587580C2211yescharacteristic, complemented
104C2×#10587580C2211yescharacteristic, complemented
105C2×#10587572C2211yescharacteristic
106C2×#10587572C2211yescharacteristic, complemented
107C2×#10587615C2211yescharacteristic
108C2×#10587615C2211yescharacteristic
109C2×#10587615C2211yescharacteristic, complemented
110C2×#10587569C2211yescharacteristic, complemented
111C2×#10587569C2211yescharacteristic, complemented
112C2×#10587569C2211yescharacteristic, complemented
113C2×#10587569C2211yescharacteristic, complemented
114C2×#10587621C2211yescharacteristic
115#123×D17C22116yescomplemented
116C2×#10587583C2211yescharacteristic, complemented
117C2×#10587583C2211yescharacteristic, complemented
118C2×#10587583C2211yescharacteristic, complemented
119C2×#10587583C2211yescharacteristic, complemented
120C2×#10587610C2211yescharacteristic, complemented
121C2×#10587582C2211yescharacteristic, complemented
122C2×#10587582C2211yescharacteristic, complemented
123C2×#10587582C2211yescharacteristic, complemented
124C2×#10587582C2211yescharacteristic, complemented
125C2×#10587582C2211yescharacteristic, complemented
126C2×#10587582C2211yescharacteristic, complemented
127C2×#10587582C2211yescharacteristic, complemented
128C2×#10587564C2211yescharacteristic, complemented
129C2×#10587564C2211yescharacteristic, complemented
130C2×#10587564C2211yescharacteristic, complemented
131C2×#10587632C2211yescharacteristic, complemented
132C2×#10587632C2211yescharacteristic, complemented
133C2×#10587632C2211yescharacteristic, complemented
134C2×#10587581C2211yescharacteristic
135C2×#10587581C2211yescharacteristic
136C2×#10587570C2211yescharacteristic
137C2×#10587570C2211yescharacteristic
138C2×#10587568C2211yescharacteristic
139C2×#10587568C2211yescharacteristic
140C2×#10587568C2211yescharacteristic
141C2×#10587623C2211yescharacteristic
142#11763283C22116yescomplemented
143#11763281C22116yescomplemented
144C2×C4×Dic34C2211yescharacteristic, complemented
145C2×#10587573C2211yescharacteristic, complemented
146C2×#10587573C2211yescharacteristic, complemented
147C2×C4×D68C2211yescharacteristic
148C2×C4×D68C2211yescharacteristic
149C2×C4×D68C2211yescharacteristic, complemented
150C2×C4×D68C2211yescharacteristic, complemented
151C2×C4×D68C2211yescharacteristic, complemented
152C2×C4×D68C2211yescharacteristic, complemented
153C2×D4×Dic17C2211yescharacteristic
154C2×#10587579C2211yescharacteristic
155C2×#10587579C2211yescharacteristic
156C2×#10587579C2211yescharacteristic, complemented
157C2×#10587579C2211yescharacteristic, complemented
158C2×#10587579C2211yescharacteristic, complemented
159C2×#10587579C2211yescharacteristic, complemented
160C2×C4×C22⋊D17C2211yescharacteristic
161C2×C4×C22⋊D17C2211yescharacteristic, complemented
162C2×C4×C22⋊D17C2211yescharacteristic, complemented
163C2×#10587567C2211yescharacteristic
164C2×#10587567C2211yescharacteristic, complemented
165C2×#10587567C2211yescharacteristic, complemented
166C2×#10587612C2211yescharacteristic, complemented
167C2×#10587612C2211yescharacteristic, complemented
168C2×#10587578C2211yescharacteristic, complemented
169C2×#10587578C2211yescharacteristic, complemented
170C2×#10587578C2211yescharacteristic, complemented
171C2×#10587578C2211yescharacteristic, complemented
172C2×#10587578C2211yescharacteristic, complemented
173C2×#10587578C2211yescharacteristic, complemented
174C2×#10587558C2211yescharacteristic, complemented
175C2×#10587558C2211yescharacteristic, complemented
176C2×#10587558C2211yescharacteristic, complemented
177C2×#10587558C2211yescharacteristic, complemented
178C2×#10587558C2211yescharacteristic, complemented
179C2×#10587558C2211yescharacteristic, complemented
180C2×#10587563C2211yescharacteristic, complemented
181C2×#10587563C2211yescharacteristic, complemented
182C2×#10587563C2211yescharacteristic, complemented
183#117×D17C22116yescomplemented
184C22×#63225C2211yescharacteristic, complemented
185C2×C4⋊C4×D17C2211yescharacteristic, complemented
186C2×C4⋊C4×D17C2211yescharacteristic, complemented
187C2×C4⋊C4×D17C2211yescharacteristic, complemented
188C2×C4⋊C4×D17C2211yescharacteristic, complemented
189C22×#63227C2211yescharacteristic
190C22×#63227C2211yescharacteristic, complemented
191C22×#63227C2211yescharacteristic, complemented
192C22×#63227C2211yescharacteristic, complemented
193C2×C22⋊C4×D17C2211yescharacteristic
194C2×C22⋊C4×D17C2211yescharacteristic
195C2×C22⋊C4×D17C2211yescharacteristic
196C2×C22⋊C4×D17C2211yescharacteristic, complemented
197C2×C22⋊C4×D17C2211yescharacteristic, complemented
198C2×C22⋊C4×D17C2211yescharacteristic, complemented
199C2×C22⋊C4×D17C2211yescharacteristic, complemented
200C2×C22⋊C4×D17C2211yescharacteristic, complemented
201C2×C42×D17C2211yescharacteristic, complemented
202C2×C42×D17C2211yescharacteristic, complemented
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, complemented
212C2×C17×C22⋊Q8C2211yescharacteristic, complemented
213C2×C4×Q8×C17C2211yescharacteristic, complemented
214C2×C4×D4×C17C2211yescharacteristic
215C2×C17×#117C2211yescharacteristic, complemented
216C2×C17×#117C2211yescharacteristic, complemented
217C2×C17×#117C2211yescharacteristic, complemented
218C22×C4⋊C4×C17C2211yescharacteristic, complemented
219C24×D17C2311yescharacteristic
220C24×D17C2311yescharacteristic
221C24×D17C2311yescharacteristic
222C22×Q8×C17C2311yescharacteristic
223C22×D4×C17C2311yescharacteristic
224C23×C4×C17C2311yescharacteristic
225C23×C4×C17C2311yescharacteristic
226C23×C4×C17C2311yescharacteristic
227C23×C4×C17C2311yescharacteristic
228C22×C22⋊D17C2311yescharacteristic
229C22×C22⋊D17C2311yescharacteristic
230C22×C22⋊D17C2311yescharacteristic
231C22×C22⋊D17C2311yescharacteristic
232C23×Dic17C2311yescharacteristic
233C23×Dic17C2311yescharacteristic
234C23×Dic17C2311yescharacteristic
235C2×D4×D17—28no—
236C2×D4×D17C2318yes—
237C22×D68—28no—
238C22×D68C2311yescharacteristic
239C22×D68C2311yescharacteristic
240C22×D68C2311yescharacteristic
241C22×D68C2311yescharacteristic
242C22×D68C2311yescharacteristic
243C22×D68C2318yes—
244C22×D68C2311yescharacteristic
245C22×D68C2311yescharacteristic
246C22×C4×D17—28no—
247C22×C4×D17C2311yescharacteristic
248C22×C4×D17C2311yescharacteristic
249C22×C4×D17C2311yescharacteristic
250C22×C4×D17C2311yescharacteristic
251C22×C4×D17C2311yescharacteristic
252C22×C4×D17C2318yes—
253C22×C4×D17C2311yescharacteristic
254C22×C4×D17C2311yescharacteristic
255C22×C4×D17C2311yescharacteristic
256C22×C4×D17C2311yescharacteristic
257C22×C4×D17C2311yescharacteristic
258C22×C4×D17C2311yescharacteristic
259C22×C4×D17C2311yescharacteristic
260C22×C4×D17C2311yescharacteristic
261C22×C4×D17C2311yescharacteristic
262C22×C4×D17C2311yescharacteristic
263C22×C4×D17C2311yescharacteristic
264C22×C4×D17C2311yescharacteristic
265C22×Dic34C2311yescharacteristic
266C22×Dic34C2311yescharacteristic
267C22×Dic34C2311yescharacteristic
268C17×#126C2318yescomplemented
269C17×#126C2318yescomplemented
270C17×#125C2318yescomplemented
271C17×#125C2318yescomplemented
272C17×#125C2318yescomplemented
273C17×#123C2318yes—
274C17×#123C2318yes—
275C17×C22⋊Q8C2318yescomplemented
276C17×C22⋊Q8C2318yescomplemented
277C4×Q8×C17C2318yescomplemented
278C4×D4×C17C2318yes—
279C17×#117C2318yescomplemented
280C17×#117C2318yescomplemented
281C17×#117C2318yescomplemented
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×C4⋊C4×C17C2311yescharacteristic
294C2×C4⋊C4×C17C2311yescharacteristic
295C2×C4⋊C4×C17C2311yescharacteristic
296C2×C4⋊C4×C17C2311yescharacteristic
297C2×C4⋊C4×C17C2311yescharacteristic
298C2×C4⋊C4×C17C2318yescomplemented
299C2×C22⋊C4×C17C2311yescharacteristic
300C2×C22⋊C4×C17C2311yescharacteristic
301C2×C22⋊C4×C17C2311yescharacteristic
302C2×C22⋊C4×C17C2311yescharacteristic
303C2×C22⋊C4×C17C2311yescharacteristic
304C2×C22⋊C4×C17C2311yescharacteristic
305C2×C22⋊C4×C17C2311yescharacteristic
306C2×C22⋊C4×C17C2311yescharacteristic
307C2×C42×C17C2311yescharacteristic
308C2×C42×C17C2311yescharacteristic
309C2×C42×C17C2311yescharacteristic
310C2×C42×C17C2311yescharacteristic
311C2×C42×C17C2311yescharacteristic
312C2×C22⋊Dic17C2311yescharacteristic
313C2×C22⋊Dic17C2311yescharacteristic
314C2×C22⋊Dic17C2311yescharacteristic
315C2×C22⋊Dic17C2311yescharacteristic
316C2×C22⋊Dic17C2311yescharacteristic
317C2×C22⋊Dic17C2311yescharacteristic
318#10587633C2318yescomplemented
319#10587632C2318yescomplemented
320#10587632C2318yescomplemented
321#10587632C2318yescomplemented
322#10587623C2318yes—
323#10587621C2318yes—
324D4×Dic17C2318yes—
325#10587615C2318yes—
326#10587615C2318yes—
327#10587615C2318yescomplemented
328C4×C22⋊D17C2318yes—
329C4×C22⋊D17C2318yescomplemented
330C4×C22⋊D17C2318yescomplemented
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×#63227C2318yes—
350C2×#63227C2311yescharacteristic
351C2×#63227C2311yescharacteristic
352C2×#63227C2311yescharacteristic
353C2×#63227C2311yescharacteristic
354C2×#63227C2311yescharacteristic
355C2×#63227C2311yescharacteristic
356C2×#63227C2311yescharacteristic
357C2×#63227C2311yescharacteristic
358C2×#63227C2311yescharacteristic
359C2×#63227C2311yescharacteristic
360C2×#63227C2311yescharacteristic
361C2×#63227C2311yescharacteristic
362C2×#63227C2311yescharacteristic
363C2×#63227C2311yescharacteristic
364C2×#63227C2311yescharacteristic
365C2×#63227C2311yescharacteristic
366C2×#63227C2318yescomplemented
367C2×#63227C2318yescomplemented
368C2×#63227C2318yescomplemented
369#10587612C2318yescomplemented
370#10587612C2318yescomplemented
371C2×C4⋊Dic17C2311yescharacteristic
372C2×C4⋊Dic17C2311yescharacteristic
373C2×C4⋊Dic17C2311yescharacteristic
374C2×C4⋊Dic17C2311yescharacteristic
375C2×C4⋊Dic17C2311yescharacteristic
376C2×C4⋊Dic17C2311yescharacteristic
377C2×C4⋊Dic17C2311yescharacteristic
378C2×C4⋊Dic17C2311yescharacteristic
379C2×C4⋊Dic17C2311yescharacteristic
380C2×C4⋊Dic17C2311yescharacteristic
381#10587610C2318yescomplemented
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×#63225C2311yescharacteristic
399C2×#63225C2311yescharacteristic
400C2×#63225C2311yescharacteristic
401C2×#63225C2311yescharacteristic
402C2×#63225C2311yescharacteristic
403C2×#63225C2311yescharacteristic
404C2×#63225C2318yescomplemented
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#10587584C2318yescomplemented
417#10587584C2318yescomplemented
418#10587584C2318yescomplemented
419#10587584C2318yescomplemented
420#10587584C2318yescomplemented
421#10587584C2318yescomplemented
422#10587584C2318yescomplemented
423#10587584C2318yescomplemented
424#10587584C2318yescomplemented
425#10587583C2318yescomplemented
426#10587583C2318yescomplemented
427#10587583C2318yescomplemented
428#10587583C2318yescomplemented
429#10587582C2318yescomplemented
430#10587582C2318yescomplemented
431#10587582C2318yescomplemented
432#10587582C2318yescomplemented
433#10587582C2318yescomplemented
434#10587582C2318yescomplemented
435#10587582C2318yescomplemented
436#10587581C2318yes—
437#10587581C2318yes—
438#10587580C2318yes—
439#10587580C2318yes—
440#10587580C2318yes—
441#10587580C2318yes—
442#10587580C2318yes—
443#10587580C2318yes—
444#10587580C2318yescomplemented
445#10587580C2318yescomplemented
446#10587580C2318yescomplemented
447#10587580C2318yescomplemented
448#10587580C2318yescomplemented
449#10587580C2318yescomplemented
450#10587580C2318yescomplemented
451#10587580C2318yescomplemented
452#10587580C2318yescomplemented
453#10587580C2318yescomplemented
454#10587579C2318yes—
455#10587579C2318yes—
456#10587579C2318yescomplemented
457#10587579C2318yescomplemented
458#10587579C2318yescomplemented
459#10587579C2318yescomplemented
460#10587578C2318yescomplemented
461#10587578C2318yescomplemented
462#10587578C2318yescomplemented
463#10587578C2318yescomplemented
464#10587578C2318yescomplemented
465#10587578C2318yescomplemented
466C4⋊C4×D17C2318yescomplemented
467C4⋊C4×D17C2318yescomplemented
468C4⋊C4×D17C2318yescomplemented
469C4⋊C4×D17C2318yescomplemented
470#10587576C2318yescomplemented
471#10587576C2318yescomplemented
472#10587575C2318yescomplemented
473#10587575C2318yescomplemented
474#10587575C2318yescomplemented
475#10587575C2318yescomplemented
476#10587575C2318yescomplemented
477#10587575C2318yescomplemented
478#10587573C2318yescomplemented
479#10587573C2318yescomplemented
480#10587572C2318yes—
481#10587572C2318yescomplemented
482#10587571C2318yescomplemented
483#10587571C2318yescomplemented
484#10587570C2318yes—
485#10587570C2318yes—
486#10587569C2318yescomplemented
487#10587569C2318yescomplemented
488#10587569C2318yescomplemented
489#10587569C2318yescomplemented
490#10587568C2318yes—
491#10587568C2318yes—
492#10587568C2318yes—
493#10587567C2318yes—
494#10587567C2318yescomplemented
495#10587567C2318yescomplemented
496C22⋊C4×D17C2318yes—
497C22⋊C4×D17C2318yes—
498C22⋊C4×D17C2318yes—
499C22⋊C4×D17C2318yescomplemented
500C22⋊C4×D17C2318yescomplemented
501C22⋊C4×D17C2318yescomplemented
502C22⋊C4×D17C2318yescomplemented
503C22⋊C4×D17C2318yescomplemented
504#10587565C2318yescomplemented
505#10587565C2318yescomplemented
506#10587564C2318yescomplemented
507#10587564C2318yescomplemented
508#10587564C2318yescomplemented
509#10587563C2318yescomplemented
510#10587563C2318yescomplemented
511#10587563C2318yescomplemented
512#10587562C2318yescomplemented
513#10587562C2318yescomplemented
514#10587562C2318yescomplemented
515#10587561C2318yescomplemented
516C4×D68C2318yes—
517C4×D68C2318yes—
518C4×D68C2318yescomplemented
519C4×D68C2318yescomplemented
520C4×D68C2318yescomplemented
521C4×D68C2318yescomplemented
522#10587558C2318yescomplemented
523#10587558C2318yescomplemented
524#10587558C2318yescomplemented
525#10587558C2318yescomplemented
526#10587558C2318yescomplemented
527#10587558C2318yescomplemented
528C42×D17C2318yescomplemented
529C42×D17C2318yescomplemented
530#10587556C2318yescomplemented
531C4×Dic34C2318yescomplemented
532C24×C17C2411yescharacteristic
533C24×C17C2411yescharacteristic
534C23×D17—24no—
535C23×D17—24no—
536C23×D17—42no—
537C23×D17—42no—
538C23×D17—42no—
539C23×D17—42no—
540C23×D17—42no—
541C23×D17—42no—
542C23×D17#4118yes—
543C23×D17C2411yescharacteristic
544C23×D17C2411yescharacteristic
545C23×D17C2411yescharacteristic
546C23×D17C2411yescharacteristic
547C23×D17C2411yescharacteristic
548C23×D17C2414yes—
549C23×D17C2414yes—
550C23×D17C2414yes—
551C2×Q8×C17—42no—
552C2×Q8×C17C2414yes—
553C2×D4×C17—24no—
554C2×D4×C17C2414yes—
555C22×C4×C17—24no—
556C22×C4×C17—24no—
557C22×C4×C17—42no—
558C22×C4×C17—42no—
559C22×C4×C17C2414yes—
560C22×C4×C17C2414yes—
561C22×C4×C17C2411yescharacteristic
562C22×C4×C17C2411yescharacteristic
563C22×C4×C17C2411yescharacteristic
564C22×C4×C17C2411yescharacteristic
565C22×C4×C17C2411yescharacteristic
566C22×C4×C17C2411yescharacteristic
567C22×C4×C17C2411yescharacteristic
568C22×C4×C17C2411yescharacteristic
569C22×C4×C17C2411yescharacteristic
570C22×C4×C17C2411yescharacteristic
571C22×C4×C17C2411yescharacteristic
572C22×C4×C17C2411yescharacteristic
573C22×C4×C17C2411yescharacteristic
574C22×C4×C17C2414yes—
575C22×C4×C17C2414yes—
576C2×C22⋊D17—24no—
577C2×C22⋊D17—24no—
578C2×C22⋊D17—42no—
579C2×C22⋊D17—42no—
580C2×C22⋊D17C2414yes—
581C2×C22⋊D17C2414yes—
582C2×C22⋊D17C2414yes—
583C2×C22⋊D17C2414yes—
584C22×Dic17—24no—
585C22×Dic17—42no—
586C22×Dic17—42no—
587C22×Dic17C2411yescharacteristic
588C22×Dic17C2411yescharacteristic
589C22×Dic17C2411yescharacteristic
590C22×Dic17C2411yescharacteristic
591C22×Dic17C2411yescharacteristic
592C22×Dic17C2411yescharacteristic
593C22×Dic17C2411yescharacteristic
594C22×Dic17C2414yes—
595C22×Dic17C2411yescharacteristic
596C22×Dic17C2411yescharacteristic
597C22×Dic17C2411yescharacteristic
598C22×Dic17C2411yescharacteristic
599C22×Dic17C2414yes—
600C22×Dic17C2414yes—
601D4×D17—232no—
602C2×D68—24no—
603C2×D68—24no—
604C2×D68—24no—
605C2×D68—24no—
606C2×D68—232no—
607C2×D68—24no—
608C2×D68—42no—
609C2×D68—42no—
610C2×D68C2414yes—
611C2×D68C2414yes—
612C2×D68C2414yes—
613C2×D68C2414yes—
614C2×D68C2414yes—
615C2×D68C2414yes—
616C2×D68C2414yes—
617C2×C4×D17—24no—
618C2×C4×D17—24no—
619C2×C4×D17—24no—
620C2×C4×D17—24no—
621C2×C4×D17—232no—
622C2×C4×D17—24no—
623C2×C4×D17—42no—
624C2×C4×D17—42no—
625C2×C4×D17—42no—
626C2×C4×D17—42no—
627C2×C4×D17—42no—
628C2×C4×D17—42no—
629C2×C4×D17—42no—
630C2×C4×D17—42no—
631C2×C4×D17—42no—
632C2×C4×D17—42no—
633C2×C4×D17—42no—
634C2×C4×D17—42no—
635C2×C4×D17C2414yes—
636C2×C4×D17C2414yes—
637C2×C4×D17C2414yes—
638C2×C4×D17C2414yes—
639C2×C4×D17C2414yes—
640C2×C4×D17C2414yes—
641C2×C4×D17C2414yes—
642C2×C4×D17C2414yes—
643C2×C4×D17C2414yes—
644C2×C4×D17C2414yes—
645C2×C4×D17C2414yes—
646C2×C4×D17C2414yes—
647C2×C4×D17C2414yes—
648C2×C4×D17C2414yes—
649C2×C4×D17C2414yes—
650C2×C4×D17C2414yes—
651C2×C4×D17C2414yes—
652C2×Dic34—42no—
653C2×Dic34—42no—
654C2×Dic34—42no—
655C2×Dic34C2414yes—
656C2×Dic34C2414yes—
657C2×Dic34C2414yes—
658C4⋊C4×C17C2414yes—
659C4⋊C4×C17C2414yes—
660C4⋊C4×C17C2414yes—
661C4⋊C4×C17C2414yes—
662C4⋊C4×C17C2414yes—
663C4⋊C4×C17C2414yes—
664C4⋊C4×C17C2414yes—
665C4⋊C4×C17C2414yes—
666C4⋊C4×C17C2414yes—
667C4⋊C4×C17C2414yes—
668C4⋊C4×C17C2414yes—
669C4⋊C4×C17C2414yes—
670C4⋊C4×C17C2414yes—
671C4⋊C4×C17C2414yes—
672C4⋊C4×C17C2414yes—
673C4⋊C4×C17C2414yes—
674C22⋊C4×C17C2414yes—
675C22⋊C4×C17C2414yes—
676C22⋊C4×C17C2414yes—
677C22⋊C4×C17C2414yes—
678C22⋊C4×C17C2414yes—
679C22⋊C4×C17C2414yes—
680C22⋊C4×C17C2414yes—
681C22⋊C4×C17C2414yes—
682C42×C17C2414yes—
683C42×C17C2414yes—
684C42×C17C2414yes—
685C42×C17C2414yes—
686C42×C17C2414yes—
687C22⋊Dic17C2414yes—
688C22⋊Dic17C2414yes—
689C22⋊Dic17C2414yes—
690C22⋊Dic17C2414yes—
691C22⋊Dic17C2414yes—
692C22⋊Dic17C2414yes—
693#63227C2414yes—
694#63227C2414yes—
695#63227C2414yes—
696#63227C2414yes—
697#63227C2414yes—
698#63227C2414yes—
699#63227C2414yes—
700#63227C2414yes—
701#63227C2414yes—
702#63227C2414yes—
703#63227C2414yes—
704#63227C2414yes—
705#63227C2414yes—
706#63227C2414yes—
707#63227C2414yes—
708#63227C2414yes—
709#63227C2414yes—
710#63227C2414yes—
711#63227C2414yes—
712#63227C2414yes—
713#63227C2414yes—
714#63227C2414yes—
715#63227C2414yes—
716#63227C2414yes—
717#63227C2414yes—
718#63227C2414yes—
719#63227C2414yes—
720#63227C2414yes—
721#63227C2414yes—
722#63227C2414yes—
723#63227C2414yes—
724#63227C2414yes—
725#63227C2414yes—
726#63227C2414yes—
727C4⋊Dic17C2414yes—
728C4⋊Dic17C2414yes—
729C4⋊Dic17C2414yes—
730C4⋊Dic17C2414yes—
731C4⋊Dic17C2414yes—
732C4⋊Dic17C2414yes—
733C4⋊Dic17C2414yes—
734C4⋊Dic17C2414yes—
735C4⋊Dic17C2414yes—
736C4⋊Dic17C2414yes—
737#63225C2414yes—
738#63225C2414yes—
739#63225C2414yes—
740#63225C2414yes—
741#63225C2414yes—
742#63225C2414yes—
743#63225C2414yes—
744#63225C2414yes—
745#63225C2414yes—
746#63225C2414yes—
747#63225C2414yes—
748#63225C2414yes—
749#63225C2414yes—
750#63225C2414yes—
751#63225C2414yes—
752#63225C2414yes—
753#63225C2414yes—
754#63225C2414yes—
755#63225C2414yes—
756#63225C2414yes—
757#63225C2414yes—
758#63225C2414yes—
759C4×Dic17C2414yes—
760C4×Dic17C2414yes—
761C4×Dic17C2414yes—
762C4×Dic17C2414yes—
763C4×Dic17C2414yes—
764C4×Dic17C2414yes—
765C4×Dic17C2414yes—
766C4×Dic17C2414yes—
767C4×Dic17C2414yes—
768C4×Dic17C2414yes—
769C4×Dic17C2414yes—
770C2×#3491—171nomaximal, Sylow
771C23×C17—22no—
772C23×C17—22no—
773C23×C17—22no—
774C23×C17—22no—
775C23×C17—22no—
776C23×C17C2×#4114yes—
777C23×C17C2512yes—
778C23×C17C2512yes—
779C23×C17C2511yescharacteristic
780C22×D17—22no—
781C22×D17—22no—
782C22×D17—22no—
783C22×D17—22no—
784C22×D17—22no—
785C22×D17—22no—
786C22×D17—22no—
787C22×D17—22no—
788C22×D17—22no—
789C22×D17—22no—
790C22×D17—22no—
791C22×D17—22no—
792C22×D17—22no—
793C22×D17—28no—
794C22×D17—28no—
795C22×D17—416no—
796C22×D17—44no—
797C22×D17—44no—
798C22×D17—44no—
799C22×D17—44no—
800C22×D17—44no—
801C22×D17—44no—
802C22×D17—88no—
803C22×D17—88no—
804C22×D17C2×#4114yes—
805C22×D17C2×#4114yes—
806C22×D17C2×#41116yes—
807C22×D17C2512yes—
808C22×D17C2512yes—
809C22×D17C2512yes—
810C22×D17C2512yes—
811C22×D17C2512yes—
812Q8×C17—44no—
813D4×C17—28no—
814C2×C4×C17—28no—
815C2×C4×C17—22no—
816C2×C4×C17—22no—
817C2×C4×C17—22no—
818C2×C4×C17—28no—
819C2×C4×C17—22no—
820C2×C4×C17—22no—
821C2×C4×C17—22no—
822C2×C4×C17—22no—
823C2×C4×C17—22no—
824C2×C4×C17—22no—
825C2×C4×C17—22no—
826C2×C4×C17—22no—
827C2×C4×C17—22no—
828C2×C4×C17—22no—
829C2×C4×C17—44no—
830C2×C4×C17—44no—
831C2×C4×C17C2512yes—
832C2×C4×C17C2512yes—
833C2×C4×C17C2512yes—
834C2×C4×C17C2512yes—
835C2×C4×C17C2512yes—
836C2×C4×C17C2512yes—
837C2×C4×C17C2512yes—
838C2×C4×C17C2512yes—
839C2×C4×C17C2512yes—
840C2×C4×C17C2512yes—
841C2×C4×C17C2512yes—
842C2×C4×C17C2512yes—
843C2×C4×C17C2512yes—
844C22⋊D17—28no—
845C22⋊D17—28no—
846C22⋊D17—44no—
847C22⋊D17—44no—
848C2×Dic17—28no—
849C2×Dic17—22no—
850C2×Dic17—22no—
851C2×Dic17—22no—
852C2×Dic17—22no—
853C2×Dic17—22no—
854C2×Dic17—22no—
855C2×Dic17—22no—
856C2×Dic17—22no—
857C2×Dic17—22no—
858C2×Dic17—22no—
859C2×Dic17—22no—
860C2×Dic17—44no—
861C2×Dic17—44no—
862C2×Dic17C2512yes—
863C2×Dic17C2512yes—
864C2×Dic17C2512yes—
865C2×Dic17C2512yes—
866C2×Dic17C2512yes—
867C2×Dic17C2512yes—
868C2×Dic17C2512yes—
869C2×Dic17C2512yes—
870C2×Dic17C2512yes—
871C2×Dic17C2512yes—
872C2×Dic17C2512yes—
873D68—28no—
874D68—28no—
875D68—28no—
876D68—28no—
877D68—28no—
878D68—44no—
879D68—44no—
880C4×D17—28no—
881C4×D17—28no—
882C4×D17—28no—
883C4×D17—28no—
884C4×D17—28no—
885C4×D17—44no—
886C4×D17—44no—
887C4×D17—44no—
888C4×D17—44no—
889C4×D17—44no—
890C4×D17—44no—
891C4×D17—44no—
892C4×D17—44no—
893C4×D17—44no—
894C4×D17—44no—
895C4×D17—44no—
896C4×D17—44no—
897Dic34—44no—
898Dic34—44no—
899Dic34—44no—
900#3491—1732no—
901C2×#552—171no—
902C2×#552—171no—
903C2×#552—171no—
904C2×#552—171no—
905C2×#552—171no—
906C2×#552—171no—
907C2×#552—171no—
908C2×#552D1711yescharacteristic, complemented
909C2×#551—171no—
910C2×#551—171no—
911C2×#551—171no—
912C2×#551—171no—
913C2×#551—171no—
914C2×#551—171no—
915C2×#551—171no—
916C2×#551—171no—
917C2×#543—171no—
918C2×#539—171no—
919C2×#539—171no—
920C2×#539—171no—
921C2×#539—171no—
922C2×#534—171no—
923C2×#529—171no—
924C2×#529—171no—
925C2×#529—171no—
926C2×#529—171no—
927C22×#123—171no—
928C22×#123—171no—
929C2×#518—171no—
930C2×#518—171no—
931C22×#117—171no—
932C22×C17—22no—
933C22×C17—22no—
934C22×C17—28no—
935C22×C17—22no—
936C22×C17—22no—
937C22×C17—22no—
938C22×C17—44no—
939C22×C17C22×#4114yes—
940C22×C17C22×#4112yes—
941C22×C17#58512yes—
942C22×C17#58512yes—
943C22×C17C2611yescharacteristic
944C2×D17—22no—
945C2×D17—22no—
946C2×D17—22no—
947C2×D17—22no—
948C2×D17—28no—
949C2×D17—28no—
950C2×D17—22no—
951C2×D17—22no—
952C2×D17—22no—
953C2×D17—22no—
954C2×D17—22no—
955C2×D17—22no—
956C2×D17—22no—
957C2×D17—22no—
958C2×D17—22no—
959C2×D17—416no—
960C2×D17—44no—
961C2×D17—44no—
962C2×D17—44no—
963C2×D17—88no—
964C2×D17—88no—
965C2×D17C22×#4114yes—
966C2×D17C22×#4114yes—
967C4×C17—22no—
968C4×C17—22no—
969C4×C17—22no—
970C4×C17—22no—
971C4×C17—22no—
972C4×C17—22no—
973C4×C17—22no—
974C4×C17—22no—
975C4×C17—22no—
976C4×C17—22no—
977C4×C17—22no—
978C4×C17—22no—
979C4×C17—22no—
980Dic17—22no—
981Dic17—22no—
982Dic17—22no—
983Dic17—22no—
984Dic17—22no—
985Dic17—22no—
986Dic17—22no—
987Dic17—22no—
988Dic17—22no—
989Dic17—22no—
990Dic17—22no—
991C23×D4—171no—
992C23×D4—171no—
993C24×C4—171no—
994#552—1716no—
995#552—1716no—
996#552—1716no—
997#552—1716no—
998#552—1716no—
999#552—1716no—
1000#552—1716no—
1001#552C2×D17116yescomplemented
1002#551—1716no—
1003#551—1716no—
1004#551—1716no—
1005#551—1716no—
1006#551—1716no—
1007#551—1716no—
1008#551—1716no—
1009#551—1716no—
1010#543—1716no—
1011#539—1716no—
1012#539—1716no—
1013#539—1716no—
1014#539—1716no—
1015#534—1716no—
1016#529—1716no—
1017#529—1716no—
1018#529—1716no—
1019#529—1716no—
1020C2×#126—171no—
1021C2×#126—171no—
1022C2×#126—171no—
1023C2×#126—171no—
1024C2×#126—171no—
1025C2×#126—171no—
1026C2×#126—171no—
1027C2×#126—171no—
1028C2×#126—171no—
1029C2×#126—171no—
1030C2×#126—171no—
1031C2×#126—171no—
1032C2×#126—171no—
1033C2×#126—171no—
1034C2×#126C2×D1711yescharacteristic, complemented
1035C2×#126C2×D1711yescharacteristic, complemented
1036C2×#125—171no—
1037C2×#125—171no—
1038C2×#125—171no—
1039C2×#125—171no—
1040C2×#125—171no—
1041C2×#125—171no—
1042C2×#125—171no—
1043C2×#125—171no—
1044C2×#125—171no—
1045C2×#125C2×D1711yescharacteristic, complemented
1046C2×#125C2×D1711yescharacteristic, complemented
1047C2×#125C2×D1711yescharacteristic, complemented
1048C2×#124—171no—
1049C2×#124—171no—
1050C2×#124—171no—
1051C2×#124—171no—
1052C2×#123—171no—
1053C2×#123—171no—
1054C2×#123—171no—
1055C2×#123—171no—
1056C2×#123—1716no—
1057C2×#123—171no—
1058C2×#123—171no—
1059C2×#123—171no—
1060C2×#123—171no—
1061C2×#123—171no—
1062C2×#123—171no—
1063C2×#123—171no—
1064C2×#123—171no—
1065C2×#123—171no—
1066C2×#123—171no—
1067C2×#123—171no—
1068C2×#123—171no—
1069C2×#123—171no—
1070C2×#123—171no—
1071C2×#123—171no—
1072C2×#123—171no—
1073C2×#123—1716no—
1074C2×#123—171no—
1075C2×#123—171no—
1076C2×#123—171no—
1077C2×#123—171no—
1078C2×#123—171no—
1079C2×#123—171no—
1080C2×#123C2×D1711yescharacteristic
1081C2×#123C2×D1711yescharacteristic
1082C2×C22⋊Q8—171no—
1083C2×C22⋊Q8—171no—
1084C2×C22⋊Q8—171no—
1085C2×C22⋊Q8—171no—
1086C2×C22⋊Q8—171no—
1087C2×C22⋊Q8—171no—
1088C2×C22⋊Q8—171no—
1089C2×C22⋊Q8—171no—
1090C2×C22⋊Q8—171no—
1091C2×C22⋊Q8—171no—
1092C2×C22⋊Q8—171no—
1093C2×C22⋊Q8—171no—
1094C2×C22⋊Q8—171no—
1095C2×C22⋊Q8—171no—
1096C2×C22⋊Q8—171no—
1097C2×C22⋊Q8—171no—
1098C2×C22⋊Q8—171no—
1099C2×C22⋊Q8—171no—
1100C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1101C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1102C2×#121—171no—
1103C2×#121—171no—
1104C2×#121—171no—
1105C2×#121—171no—
1106C2×#120—171no—
1107C2×#120—171no—
1108C2×#120—171no—
1109C2×#120—171no—
1110#518—1716no—
1111#518—1716no—
1112C2×C4×Q8—171no—
1113C2×C4×Q8—171no—
1114C2×C4×Q8—171no—
1115C2×C4×Q8C2×D1711yescharacteristic, complemented
1116C2×C4×D4—171no—
1117C2×C4×D4—171no—
1118C2×C4×D4—171no—
1119C2×C4×D4—171no—
1120C2×C4×D4—171no—
1121C2×C4×D4—171no—
1122C2×C4×D4—171no—
1123C2×C4×D4—171no—
1124C2×C4×D4—171no—
1125C2×C4×D4—171no—
1126C2×C4×D4—171no—
1127C2×C4×D4—171no—
1128C2×C4×D4—171no—
1129C2×C4×D4—171no—
1130C2×C4×D4—171no—
1131C2×C4×D4—171no—
1132C2×C4×D4—171no—
1133C2×C4×D4—171no—
1134C2×C4×D4—171no—
1135C2×C4×D4C2×D1711yescharacteristic
1136C2×#117—171no—
1137C2×#117—171no—
1138C2×#117—1716no—
1139C2×#117—171no—
1140C2×#117—171no—
1141C2×#117—171no—
1142C2×#117—171no—
1143C2×#117—171no—
1144C2×#117—171no—
1145C2×#117—171no—
1146C2×#117—171no—
1147C2×#117—171no—
1148C2×#117—171no—
1149C2×#117—171no—
1150C2×#117—171no—
1151C2×#117—171no—
1152C2×#117—171no—
1153C2×#117—171no—
1154C2×#117C2×D1711yescharacteristic, complemented
1155C2×#117C2×D1711yescharacteristic, complemented
1156C2×#117C2×D1711yescharacteristic, complemented
1157C22×C4⋊C4—171no—
1158C22×C4⋊C4—171no—
1159C22×C4⋊C4—171no—
1160C22×C4⋊C4—171no—
1161C22×C4⋊C4—171no—
1162C22×C4⋊C4C2×D1711yescharacteristic, complemented
1163C22×C22⋊C4—171no—
1164C22×C22⋊C4—171no—
1165C22×C22⋊C4—171no—
1166C22×C22⋊C4—171no—
1167C22×C22⋊C4—171no—
1168C22×C22⋊C4—171no—
1169C22×C22⋊C4—171no—
1170C22×C22⋊C4—171no—
1171C22×C22⋊C4—171no—
1172C22×C22⋊C4—171no—
1173C22×C22⋊C4—171no—
1174C22×C22⋊C4—171no—
1175C22×C42—171no—
1176C22×C42—171no—
1177C2×C17—24no—
1178C2×C17—42no—
1179C2×C17#349114yescomplemented
1180C2×C17C23×#4111yescharacteristic
1181C2×C17C2×#58511yescharacteristic
1182C2×C17C2×#58511yescharacteristic
1183D17—24no—
1184D17—24no—
1185D17—42no—
1186D17—42no—
1187D17—42no—
1188C25—171no—
1189C25—171no—
1190C25—171no—
1191C22×Q8—171no—
1192C22×Q8—171no—
1193C22×Q8—171no—
1194C22×Q8C22×D1711yescharacteristic
1195C22×D4—171no—
1196C22×D4—171no—
1197C22×D4—171no—
1198C22×D4—171no—
1199C22×D4—178no—
1200C22×D4—171no—
1201C22×D4—171no—
1202C22×D4—171no—
1203C22×D4—171no—
1204C22×D4—171no—
1205C22×D4—178no—
1206C22×D4—171no—
1207C22×D4—171no—
1208C22×D4—348no—
1209C22×D4—348no—
1210C22×D4C22×D1711yescharacteristic
1211C23×C4—171no—
1212C23×C4—171no—
1213C23×C4—171no—
1214C23×C4—171no—
1215C23×C4—171no—
1216C23×C4—171no—
1217C23×C4—171no—
1218C23×C4—178no—
1219C23×C4—171no—
1220C23×C4—171no—
1221C23×C4—171no—
1222C23×C4—171no—
1223C23×C4—171no—
1224C23×C4—171no—
1225C23×C4—171no—
1226C23×C4—171no—
1227C23×C4—171no—
1228C23×C4—171no—
1229C23×C4—171no—
1230C23×C4—171no—
1231C23×C4—171no—
1232C23×C4—348no—
1233C23×C4C22×D1711yescharacteristic
1234C23×C4C22×D1711yescharacteristic
1235C23×C4C22×D1711yescharacteristic
1236C23×C4C22×D1711yescharacteristic
1237#126—178no—
1238#126—178no—
1239#126—178no—
1240#126—178no—
1241#126—178no—
1242#126—178no—
1243#126—178no—
1244#126—178no—
1245#126—178no—
1246#126—178no—
1247#126—178no—
1248#126—178no—
1249#126—178no—
1250#126—178no—
1251#126C22×D1718yescomplemented
1252#126C22×D1718yescomplemented
1253#125—178no—
1254#125—178no—
1255#125—178no—
1256#125—178no—
1257#125—178no—
1258#125—178no—
1259#125—178no—
1260#125—178no—
1261#125—178no—
1262#125C22×D1718yescomplemented
1263#125C22×D1718yescomplemented
1264#125C22×D1718yescomplemented
1265#124—178no—
1266#124—178no—
1267#124—178no—
1268#124—178no—
1269#123—178no—
1270#123—178no—
1271#123—178no—
1272#123—178no—
1273#123—178no—
1274#123—178no—
1275#123—178no—
1276#123—178no—
1277#123—178no—
1278#123—178no—
1279#123—178no—
1280#123—178no—
1281#123—178no—
1282#123—178no—
1283#123—178no—
1284#123—178no—
1285#123—178no—
1286#123—178no—
1287#123—178no—
1288#123—178no—
1289#123—178no—
1290#123—178no—
1291#123—178no—
1292#123—178no—
1293#123—178no—
1294#123—178no—
1295#123C22×D1718yes—
1296#123C22×D1718yes—
1297C22⋊Q8—178no—
1298C22⋊Q8—178no—
1299C22⋊Q8—178no—
1300C22⋊Q8—178no—
1301C22⋊Q8—178no—
1302C22⋊Q8—178no—
1303C22⋊Q8—178no—
1304C22⋊Q8—178no—
1305C22⋊Q8—178no—
1306C22⋊Q8—178no—
1307C22⋊Q8—178no—
1308C22⋊Q8—178no—
1309C22⋊Q8—178no—
1310C22⋊Q8—178no—
1311C22⋊Q8—178no—
1312C22⋊Q8—178no—
1313C22⋊Q8—178no—
1314C22⋊Q8—178no—
1315C22⋊Q8C22×D1718yescomplemented
1316C22⋊Q8C22×D1718yescomplemented
1317#121—178no—
1318#121—178no—
1319#121—178no—
1320#121—178no—
1321#120—178no—
1322#120—178no—
1323#120—178no—
1324#120—178no—
1325C4×Q8—178no—
1326C4×Q8—178no—
1327C4×Q8—178no—
1328C4×Q8C22×D1718yescomplemented
1329C4×D4—178no—
1330C4×D4—178no—
1331C4×D4—178no—
1332C4×D4—178no—
1333C4×D4—178no—
1334C4×D4—178no—
1335C4×D4—178no—
1336C4×D4—178no—
1337C4×D4—178no—
1338C4×D4—178no—
1339C4×D4—178no—
1340C4×D4—178no—
1341C4×D4—178no—
1342C4×D4—178no—
1343C4×D4—178no—
1344C4×D4—178no—
1345C4×D4—178no—
1346C4×D4—178no—
1347C4×D4—178no—
1348C4×D4C22×D1718yes—
1349#117—178no—
1350#117—178no—
1351#117—178no—
1352#117—178no—
1353#117—178no—
1354#117—178no—
1355#117—178no—
1356#117—178no—
1357#117—178no—
1358#117—178no—
1359#117—178no—
1360#117—178no—
1361#117—178no—
1362#117—178no—
1363#117—178no—
1364#117—178no—
1365#117—178no—
1366#117C22×D1718yescomplemented
1367#117C22×D1718yescomplemented
1368#117C22×D1718yescomplemented
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—171no—
1380C2×C4⋊C4—171no—
1381C2×C4⋊C4—171no—
1382C2×C4⋊C4—171no—
1383C2×C4⋊C4—171no—
1384C2×C4⋊C4—171no—
1385C2×C4⋊C4—178no—
1386C2×C4⋊C4—171no—
1387C2×C4⋊C4—171no—
1388C2×C4⋊C4—171no—
1389C2×C4⋊C4—171no—
1390C2×C4⋊C4—171no—
1391C2×C4⋊C4—171no—
1392C2×C4⋊C4—171no—
1393C2×C4⋊C4—171no—
1394C2×C4⋊C4—171no—
1395C2×C4⋊C4—171no—
1396C2×C4⋊C4—171no—
1397C2×C4⋊C4—171no—
1398C2×C4⋊C4—171no—
1399C2×C4⋊C4—171no—
1400C2×C4⋊C4—171no—
1401C2×C4⋊C4—171no—
1402C2×C4⋊C4—178no—
1403C2×C4⋊C4—178no—
1404C2×C4⋊C4—178no—
1405C2×C4⋊C4—178no—
1406C2×C4⋊C4C22×D1711yescharacteristic
1407C2×C4⋊C4C22×D1711yescharacteristic
1408C2×C4⋊C4C22×D1711yescharacteristic
1409C2×C4⋊C4C22×D1711yescharacteristic
1410C2×C4⋊C4C22×D1711yescharacteristic
1411C2×C4⋊C4C22×D1711yescharacteristic
1412C2×C4⋊C4C22×D1711yescharacteristic
1413C2×C4⋊C4C22×D1711yescharacteristic
1414C2×C4⋊C4C22×D1711yescharacteristic
1415C2×C4⋊C4C22×D1711yescharacteristic
1416C2×C4⋊C4C22×D1711yescharacteristic
1417C2×C4⋊C4C22×D1711yescharacteristic
1418C2×C4⋊C4C22×D1711yescharacteristic
1419C2×C4⋊C4C22×D1711yescharacteristic
1420C2×C4⋊C4C22×D1711yescharacteristic
1421C2×C4⋊C4C22×D1711yescharacteristic
1422C2×C4⋊C4C22×D1718yescomplemented
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—171no—
1432C2×C22⋊C4—171no—
1433C2×C22⋊C4—171no—
1434C2×C22⋊C4—171no—
1435C2×C22⋊C4—171no—
1436C2×C22⋊C4—171no—
1437C2×C22⋊C4—171no—
1438C2×C22⋊C4—171no—
1439C2×C22⋊C4—171no—
1440C2×C22⋊C4—171no—
1441C2×C22⋊C4—171no—
1442C2×C22⋊C4—171no—
1443C2×C22⋊C4—171no—
1444C2×C22⋊C4—171no—
1445C2×C22⋊C4—171no—
1446C2×C22⋊C4—171no—
1447C2×C22⋊C4—171no—
1448C2×C22⋊C4—171no—
1449C2×C22⋊C4—171no—
1450C2×C22⋊C4—171no—
1451C2×C22⋊C4—178no—
1452C2×C22⋊C4—178no—
1453C2×C22⋊C4—171no—
1454C2×C22⋊C4—171no—
1455C2×C22⋊C4—171no—
1456C2×C22⋊C4—171no—
1457C2×C22⋊C4—171no—
1458C2×C22⋊C4—171no—
1459C2×C22⋊C4—178no—
1460C2×C22⋊C4—178no—
1461C2×C22⋊C4—171no—
1462C2×C22⋊C4—171no—
1463C2×C22⋊C4—171no—
1464C2×C22⋊C4—171no—
1465C2×C22⋊C4—171no—
1466C2×C22⋊C4—171no—
1467C2×C22⋊C4—178no—
1468C2×C22⋊C4—178no—
1469C2×C22⋊C4—178no—
1470C2×C22⋊C4—178no—
1471C2×C22⋊C4—178no—
1472C2×C22⋊C4—178no—
1473C2×C22⋊C4—178no—
1474C2×C22⋊C4—178no—
1475C2×C22⋊C4C22×D1711yescharacteristic
1476C2×C22⋊C4C22×D1711yescharacteristic
1477C2×C22⋊C4C22×D1711yescharacteristic
1478C2×C22⋊C4C22×D1711yescharacteristic
1479C2×C22⋊C4C22×D1711yescharacteristic
1480C2×C22⋊C4C22×D1711yescharacteristic
1481C2×C22⋊C4C22×D1711yescharacteristic
1482C2×C22⋊C4C22×D1711yescharacteristic
1483C2×C42—171no—
1484C2×C42—171no—
1485C2×C42—171no—
1486C2×C42—171no—
1487C2×C42—171no—
1488C2×C42—171no—
1489C2×C42—171no—
1490C2×C42—171no—
1491C2×C42—171no—
1492C2×C42—171no—
1493C2×C42—171no—
1494C2×C42—178no—
1495C2×C42—178no—
1496C2×C42C22×D1711yescharacteristic
1497C2×C42C22×D1711yescharacteristic
1498C2×C42C22×D1711yescharacteristic
1499C2×C42C22×D1711yescharacteristic
1500C2×C42C22×D1711yescharacteristic
1501C17C2×#349111yescharacteristic, complemented, Sylow
1502C24—171no—
1503C24—171no—
1504C24—178no—
1505C24—174no—
1506C24—171no—
1507C24—171no—
1508C24—171no—
1509C24—174no—
1510C24—174no—
1511C24—344no—
1512C24—344no—
1513C24—682no—
1514C24—682no—
1515C24—682no—
1516C24—682no—
1517C24—682no—
1518C24—682no—
1519C24C23×D1711yescharacteristic
1520C24C23×D1711yescharacteristic
1521C2×Q8—42no—
1522C2×Q8—174no—
1523C2×Q8—174no—
1524C2×Q8—174no—
1525C2×Q8—682no—
1526C2×Q8—682no—
1527C2×Q8—682no—
1528C2×Q8C23×D1714yes—
1529C2×D4—24no—
1530C2×D4—174no—
1531C2×D4—174no—
1532C2×D4—174no—
1533C2×D4—174no—
1534C2×D4—174no—
1535C2×D4—174no—
1536C2×D4—174no—
1537C2×D4—174no—
1538C2×D4—174no—
1539C2×D4—174no—
1540C2×D4—174no—
1541C2×D4—344no—
1542C2×D4—344no—
1543C2×D4—344no—
1544C2×D4—344no—
1545C2×D4—3432no—
1546C2×D4—344no—
1547C2×D4—3432no—
1548C2×D4—344no—
1549C2×D4—344no—
1550C2×D4—682no—
1551C2×D4—682no—
1552C2×D4—682no—
1553C2×D4—682no—
1554C2×D4C23×D1714yes—
1555C22×C4—24no—
1556C22×C4—24no—
1557C22×C4—42no—
1558C22×C4—42no—
1559C22×C4—174no—
1560C22×C4—171no—
1561C22×C4—171no—
1562C22×C4—171no—
1563C22×C4—171no—
1564C22×C4—171no—
1565C22×C4—171no—
1566C22×C4—171no—
1567C22×C4—171no—
1568C22×C4—171no—
1569C22×C4—171no—
1570C22×C4—171no—
1571C22×C4—174no—
1572C22×C4—174no—
1573C22×C4—174no—
1574C22×C4—174no—
1575C22×C4—174no—
1576C22×C4—174no—
1577C22×C4—174no—
1578C22×C4—174no—
1579C22×C4—174no—
1580C22×C4—174no—
1581C22×C4—174no—
1582C22×C4—174no—
1583C22×C4—174no—
1584C22×C4—174no—
1585C22×C4—174no—
1586C22×C4—174no—
1587C22×C4—174no—
1588C22×C4—174no—
1589C22×C4—174no—
1590C22×C4—344no—
1591C22×C4—344no—
1592C22×C4—344no—
1593C22×C4—344no—
1594C22×C4—3432no—
1595C22×C4—344no—
1596C22×C4—344no—
1597C22×C4—682no—
1598C22×C4—682no—
1599C22×C4—682no—
1600C22×C4—682no—
1601C22×C4—682no—
1602C22×C4—682no—
1603C22×C4—682no—
1604C22×C4—682no—
1605C22×C4—682no—
1606C22×C4—682no—
1607C22×C4—682no—
1608C22×C4—682no—
1609C22×C4—682no—
1610C22×C4—682no—
1611C22×C4C23×D1714yes—
1612C22×C4C23×D1714yes—
1613C22×C4C23×D1711yescharacteristic
1614C22×C4C23×D1711yescharacteristic
1615C22×C4C23×D1711yescharacteristic
1616C22×C4C23×D1711yescharacteristic
1617C22×C4C23×D1711yescharacteristic
1618C22×C4C23×D1711yescharacteristic
1619C22×C4C23×D1711yescharacteristic
1620C22×C4C23×D1711yescharacteristic
1621C22×C4C23×D1711yescharacteristic
1622C22×C4C23×D1711yescharacteristic
1623C22×C4C23×D1711yescharacteristic
1624C22×C4C23×D1711yescharacteristic
1625C22×C4C23×D1711yescharacteristic
1626C22×C4C23×D1714yes—
1627C22×C4C23×D1714yes—
1628C4⋊C4—174no—
1629C4⋊C4—174no—
1630C4⋊C4—174no—
1631C4⋊C4—174no—
1632C4⋊C4—174no—
1633C4⋊C4—174no—
1634C4⋊C4—174no—
1635C4⋊C4—174no—
1636C4⋊C4—174no—
1637C4⋊C4—174no—
1638C4⋊C4—174no—
1639C4⋊C4—174no—
1640C4⋊C4—174no—
1641C4⋊C4—174no—
1642C4⋊C4—174no—
1643C4⋊C4—174no—
1644C4⋊C4—174no—
1645C4⋊C4—174no—
1646C4⋊C4—174no—
1647C4⋊C4—174no—
1648C4⋊C4—174no—
1649C4⋊C4—174no—
1650C4⋊C4—174no—
1651C4⋊C4—174no—
1652C4⋊C4—174no—
1653C4⋊C4—174no—
1654C4⋊C4—174no—
1655C4⋊C4—174no—
1656C4⋊C4—174no—
1657C4⋊C4—174no—
1658C4⋊C4—174no—
1659C4⋊C4—174no—
1660C4⋊C4C23×D1714yes—
1661C4⋊C4C23×D1714yes—
1662C4⋊C4C23×D1714yes—
1663C4⋊C4C23×D1714yes—
1664C4⋊C4C23×D1714yes—
1665C4⋊C4C23×D1714yes—
1666C4⋊C4C23×D1714yes—
1667C4⋊C4C23×D1714yes—
1668C4⋊C4C23×D1714yes—
1669C4⋊C4C23×D1714yes—
1670C4⋊C4C23×D1714yes—
1671C4⋊C4C23×D1714yes—
1672C4⋊C4C23×D1714yes—
1673C4⋊C4C23×D1714yes—
1674C4⋊C4C23×D1714yes—
1675C4⋊C4C23×D1714yes—
1676C22⋊C4—174no—
1677C22⋊C4—174no—
1678C22⋊C4—174no—
1679C22⋊C4—174no—
1680C22⋊C4—174no—
1681C22⋊C4—174no—
1682C22⋊C4—174no—
1683C22⋊C4—174no—
1684C22⋊C4—174no—
1685C22⋊C4—174no—
1686C22⋊C4—174no—
1687C22⋊C4—174no—
1688C22⋊C4—174no—
1689C22⋊C4—174no—
1690C22⋊C4—174no—
1691C22⋊C4—174no—
1692C22⋊C4—174no—
1693C22⋊C4—174no—
1694C22⋊C4—174no—
1695C22⋊C4—174no—
1696C22⋊C4—174no—
1697C22⋊C4—174no—
1698C22⋊C4—174no—
1699C22⋊C4—174no—
1700C22⋊C4—174no—
1701C22⋊C4—174no—
1702C22⋊C4—174no—
1703C22⋊C4—174no—
1704C22⋊C4—174no—
1705C22⋊C4—174no—
1706C22⋊C4—174no—
1707C22⋊C4—174no—
1708C22⋊C4—174no—
1709C22⋊C4—174no—
1710C22⋊C4—174no—
1711C22⋊C4—174no—
1712C22⋊C4—174no—
1713C22⋊C4—174no—
1714C22⋊C4—174no—
1715C22⋊C4—174no—
1716C22⋊C4C23×D1714yes—
1717C22⋊C4C23×D1714yes—
1718C22⋊C4C23×D1714yes—
1719C22⋊C4C23×D1714yes—
1720C22⋊C4C23×D1714yes—
1721C22⋊C4C23×D1714yes—
1722C22⋊C4C23×D1714yes—
1723C22⋊C4C23×D1714yes—
1724C42—174no—
1725C42—174no—
1726C42—174no—
1727C42—174no—
1728C42—174no—
1729C42—174no—
1730C42—174no—
1731C42—174no—
1732C42—174no—
1733C42—174no—
1734C42—174no—
1735C42C23×D1714yes—
1736C42C23×D1714yes—
1737C42C23×D1714yes—
1738C42C23×D1714yes—
1739C42C23×D1714yes—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—174no—
1746C23—174no—
1747C23—172no—
1748C23—172no—
1749C23—1716no—
1750C23—172no—
1751C23—172no—
1752C23—172no—
1753C23—348no—
1754C23—342no—
1755C23—342no—
1756C23—342no—
1757C23—342no—
1758C23—342no—
1759C23—342no—
1760C23—342no—
1761C23—342no—
1762C23—342no—
1763C23—342no—
1764C23—342no—
1765C23—342no—
1766C23—342no—
1767C23—348no—
1768C23—6816no—
1769C23—684no—
1770C23—684no—
1771C23—684no—
1772C23—684no—
1773C23—684no—
1774C23—684no—
1775C23—1368no—
1776C23—1368no—
1777C23#41×D1714yes—
1778C23C24×D1712yes—
1779C23C24×D1712yes—
1780C23C24×D1711yescharacteristic
1781Q8—44no—
1782Q8—684no—
1783Q8—684no—
1784Q8—684no—
1785D4—28no—
1786D4—348no—
1787D4—348no—
1788D4—348no—
1789D4—348no—
1790D4—348no—
1791D4—348no—
1792D4—348no—
1793D4—684no—
1794D4—684no—
1795D4—684no—
1796D4—684no—
1797C2×C4—28no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—28no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—44no—
1813C2×C4—44no—
1814C2×C4—172no—
1815C2×C4—172no—
1816C2×C4—172no—
1817C2×C4—172no—
1818C2×C4—172no—
1819C2×C4—172no—
1820C2×C4—172no—
1821C2×C4—172no—
1822C2×C4—172no—
1823C2×C4—172no—
1824C2×C4—172no—
1825C2×C4—348no—
1826C2×C4—348no—
1827C2×C4—348no—
1828C2×C4—348no—
1829C2×C4—348no—
1830C2×C4—348no—
1831C2×C4—342no—
1832C2×C4—342no—
1833C2×C4—342no—
1834C2×C4—342no—
1835C2×C4—342no—
1836C2×C4—342no—
1837C2×C4—342no—
1838C2×C4—342no—
1839C2×C4—342no—
1840C2×C4—342no—
1841C2×C4—342no—
1842C2×C4—684no—
1843C2×C4—684no—
1844C2×C4—684no—
1845C2×C4—684no—
1846C2×C4—684no—
1847C2×C4—684no—
1848C2×C4—684no—
1849C2×C4—684no—
1850C2×C4—684no—
1851C2×C4—684no—
1852C2×C4—684no—
1853C2×C4—684no—
1854C2×C4—684no—
1855C2×C4—684no—
1856C2×C4C24×D1712yes—
1857C2×C4C24×D1712yes—
1858C2×C4C24×D1712yes—
1859C2×C4C24×D1712yes—
1860C2×C4C24×D1712yes—
1861C2×C4C24×D1712yes—
1862C2×C4C24×D1712yes—
1863C2×C4C24×D1712yes—
1864C2×C4C24×D1712yes—
1865C2×C4C24×D1712yes—
1866C2×C4C24×D1712yes—
1867C2×C4C24×D1712yes—
1868C2×C4C24×D1712yes—
1869C22—28no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—44no—
1876C22—174no—
1877C22—174no—
1878C22—348no—
1879C22—348no—
1880C22—342no—
1881C22—342no—
1882C22—342no—
1883C22—342no—
1884C22—342no—
1885C22—342no—
1886C22—342no—
1887C22—342no—
1888C22—342no—
1889C22—342no—
1890C22—342no—
1891C22—342no—
1892C22—342no—
1893C22—6816no—
1894C22—684no—
1895C22—684no—
1896C22—684no—
1897C22—1368no—
1898C22—1368no—
1899C22C2×#41×D1714yes—
1900C22C2×#41×D1712yes—
1901C22#1176364512yes—
1902C22#1176364612yes—
1903C22C25×D1711yescharacteristic
1904C4—22no—
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—22no—
1913C4—22no—
1914C4—22no—
1915C4—22no—
1916C4—22no—
1917C4—342no—
1918C4—342no—
1919C4—342no—
1920C4—342no—
1921C4—342no—
1922C4—342no—
1923C4—342no—
1924C4—342no—
1925C4—342no—
1926C4—342no—
1927C4—342no—
1928C2—24no—
1929C2—42no—
1930C2—344no—
1931C2—344no—
1932C2—682no—
1933C2—682no—
1934C2—682no—
1935C2#1454247914yesdirect product factor
1936C2C22×#41×D1711yescharacteristic
1937C2C2×#1176364511yescharacteristic
1938C2C2×#1176364611yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#552C2
socleC23×C17C25
prime radicalC2×#11763370C2
hypercenterC2×#552D17
hypocenterC17C2×#3491
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#552

Complements

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

NH ≅ G/Ntype
1. #14542479C2direct (N × H)
2. C2×#11763500C2semidirect
3. C2×#11763497C2semidirect
4. C2×#11763496C2semidirect
5. C2×#11763494C2semidirect
6. C2×#11763492C2semidirect
7. C2×#11763491C2semidirect
8. C2×#11763491C2semidirect
9. C2×#11763488C2semidirect
10. C2×#11763486C2semidirect
11. C2×#11763486C2semidirect
12. C2×#11763484C2semidirect
13. C2×#11763484C2semidirect
14. C2×#11763483C2semidirect
15. C2×#11763483C2semidirect
16. C2×#11763482C2semidirect
17. C2×#11763434C2semidirect
18. C2×#11763407C2semidirect
19. C2×#11763407C2semidirect
20. C2×#11763405C2semidirect
21. C2×#11763400C2semidirect
23. C2×#11763346C2semidirect
24. C2×#11763344C2semidirect
25. C2×#11763342C2semidirect
26. C2×#11763337C2semidirect
27. C22×#10587580C2semidirect
28. C2×#123×D17C2semidirect
29. C2×#11763283C2semidirect
30. C2×#11763281C2semidirect
31. C2×#117×D17C2semidirect
32. C2×C17×#552C2semidirect
36. #11763500C22semidirect
37. #11763497C22semidirect
38. #11763496C22semidirect
39. #11763494C22semidirect
40. #11763492C22semidirect
41. #11763491C22semidirect
42. #11763491C22semidirect
43. #11763488C22semidirect
44. #11763486C22semidirect
45. #11763486C22semidirect
46. #11763484C22semidirect
47. #11763484C22semidirect
48. #11763483C22semidirect
49. #11763483C22semidirect
50. #11763482C22semidirect
51. #11763434C22semidirect
52. #11763407C22semidirect
53. #11763407C22semidirect
54. #11763405C22semidirect
55. #11763400C22semidirect
57. #11763346C22semidirect
58. #11763344C22semidirect
59. #11763342C22semidirect
60. #11763337C22semidirect
61. C2×#10587584C22semidirect
62. C2×#10587584C22semidirect
63. C2×#10587584C22semidirect
64. C2×#10587584C22semidirect
65. C2×#10587584C22semidirect
66. C2×#10587584C22semidirect
67. C2×#10587584C22semidirect
68. C2×#10587584C22semidirect
69. C2×#10587584C22semidirect
70. C2×#10587562C22semidirect
71. C2×#10587562C22semidirect
72. C2×#10587562C22semidirect
73. C2×#10587565C22semidirect
74. C2×#10587565C22semidirect
75. C2×#10587556C22semidirect
76. C2×#10587576C22semidirect
77. C2×#10587576C22semidirect
78. C2×#10587575C22semidirect
79. C2×#10587575C22semidirect
80. C2×#10587575C22semidirect
81. C2×#10587575C22semidirect
82. C2×#10587575C22semidirect
83. C2×#10587575C22semidirect
84. C2×#10587633C22semidirect
85. C2×#10587561C22semidirect
86. C2×#10587571C22semidirect
87. C2×#10587571C22semidirect
94. C2×#10587580C22semidirect
95. C2×#10587580C22semidirect
96. C2×#10587580C22semidirect
97. C2×#10587580C22semidirect
98. C2×#10587580C22semidirect
99. C2×#10587580C22semidirect
100. C2×#10587580C22semidirect
101. C2×#10587580C22semidirect
102. C2×#10587580C22semidirect
103. C2×#10587580C22semidirect
104. C2×#10587580C22semidirect
106. C2×#10587572C22semidirect
109. C2×#10587615C22semidirect
110. C2×#10587569C22semidirect
111. C2×#10587569C22semidirect
112. C2×#10587569C22semidirect
113. C2×#10587569C22semidirect
115. #123×D17C22semidirect
116. C2×#10587583C22semidirect
117. C2×#10587583C22semidirect
118. C2×#10587583C22semidirect
119. C2×#10587583C22semidirect
120. C2×#10587610C22semidirect
121. C2×#10587582C22semidirect
122. C2×#10587582C22semidirect
123. C2×#10587582C22semidirect
124. C2×#10587582C22semidirect
125. C2×#10587582C22semidirect
126. C2×#10587582C22semidirect
127. C2×#10587582C22semidirect
128. C2×#10587564C22semidirect
129. C2×#10587564C22semidirect
130. C2×#10587564C22semidirect
131. C2×#10587632C22semidirect
132. C2×#10587632C22semidirect
133. C2×#10587632C22semidirect
142. #11763283C22semidirect
143. #11763281C22semidirect
144. C2×C4×Dic34C22semidirect
145. C2×#10587573C22semidirect
146. C2×#10587573C22semidirect
149. C2×C4×D68C22semidirect
150. C2×C4×D68C22semidirect
151. C2×C4×D68C22semidirect
152. C2×C4×D68C22semidirect
156. C2×#10587579C22semidirect
157. C2×#10587579C22semidirect
158. C2×#10587579C22semidirect
159. C2×#10587579C22semidirect
161. C2×C4×C22⋊D17C22semidirect
162. C2×C4×C22⋊D17C22semidirect
164. C2×#10587567C22semidirect
165. C2×#10587567C22semidirect
166. C2×#10587612C22semidirect
167. C2×#10587612C22semidirect
168. C2×#10587578C22semidirect
169. C2×#10587578C22semidirect
170. C2×#10587578C22semidirect
171. C2×#10587578C22semidirect
172. C2×#10587578C22semidirect
173. C2×#10587578C22semidirect
174. C2×#10587558C22semidirect
175. C2×#10587558C22semidirect
176. C2×#10587558C22semidirect
177. C2×#10587558C22semidirect
178. C2×#10587558C22semidirect
179. C2×#10587558C22semidirect
180. C2×#10587563C22semidirect
181. C2×#10587563C22semidirect
182. C2×#10587563C22semidirect
183. #117×D17C22semidirect
184. C22×#63225C22semidirect
185. C2×C4⋊C4×D17C22semidirect
186. C2×C4⋊C4×D17C22semidirect
187. C2×C4⋊C4×D17C22semidirect
188. C2×C4⋊C4×D17C22semidirect
190. C22×#63227C22semidirect
191. C22×#63227C22semidirect
192. C22×#63227C22semidirect
196. C2×C22⋊C4×D17C22semidirect
197. C2×C22⋊C4×D17C22semidirect
198. C2×C22⋊C4×D17C22semidirect
199. C2×C22⋊C4×D17C22semidirect
200. C2×C22⋊C4×D17C22semidirect
201. C2×C42×D17C22semidirect
202. C2×C42×D17C22semidirect
203. C17×#552C22semidirect
204. C2×C17×#126C22semidirect
205. C2×C17×#126C22semidirect
206. C2×C17×#125C22semidirect
207. C2×C17×#125C22semidirect
208. C2×C17×#125C22semidirect
211. C2×C17×C22⋊Q8C22semidirect
212. C2×C17×C22⋊Q8C22semidirect
213. C2×C4×Q8×C17C22semidirect
215. C2×C17×#117C22semidirect
216. C2×C17×#117C22semidirect
217. C2×C17×#117C22semidirect
218. C22×C4⋊C4×C17C22semidirect
268. C17×#126C23semidirect
269. C17×#126C23semidirect
270. C17×#125C23semidirect
271. C17×#125C23semidirect
272. C17×#125C23semidirect
275. C17×C22⋊Q8C23semidirect
276. C17×C22⋊Q8C23semidirect
277. C4×Q8×C17C23semidirect
279. C17×#117C23semidirect
280. C17×#117C23semidirect
281. C17×#117C23semidirect
298. C2×C4⋊C4×C17C23semidirect
318. #10587633C23semidirect
319. #10587632C23semidirect
320. #10587632C23semidirect
321. #10587632C23semidirect
327. #10587615C23semidirect
329. C4×C22⋊D17C23semidirect
330. C4×C22⋊D17C23semidirect
366. C2×#63227C23semidirect
367. C2×#63227C23semidirect
368. C2×#63227C23semidirect
369. #10587612C23semidirect
370. #10587612C23semidirect
381. #10587610C23semidirect
404. C2×#63225C23semidirect
416. #10587584C23semidirect
417. #10587584C23semidirect
418. #10587584C23semidirect
419. #10587584C23semidirect
420. #10587584C23semidirect
421. #10587584C23semidirect
422. #10587584C23semidirect
423. #10587584C23semidirect
424. #10587584C23semidirect
425. #10587583C23semidirect
426. #10587583C23semidirect
427. #10587583C23semidirect
428. #10587583C23semidirect
429. #10587582C23semidirect
430. #10587582C23semidirect
431. #10587582C23semidirect
432. #10587582C23semidirect
433. #10587582C23semidirect
434. #10587582C23semidirect
435. #10587582C23semidirect
444. #10587580C23semidirect
445. #10587580C23semidirect
446. #10587580C23semidirect
447. #10587580C23semidirect
448. #10587580C23semidirect
449. #10587580C23semidirect
450. #10587580C23semidirect
451. #10587580C23semidirect
452. #10587580C23semidirect
453. #10587580C23semidirect
456. #10587579C23semidirect
457. #10587579C23semidirect
458. #10587579C23semidirect
459. #10587579C23semidirect
460. #10587578C23semidirect
461. #10587578C23semidirect
462. #10587578C23semidirect
463. #10587578C23semidirect
464. #10587578C23semidirect
465. #10587578C23semidirect
466. C4⋊C4×D17C23semidirect
467. C4⋊C4×D17C23semidirect
468. C4⋊C4×D17C23semidirect
469. C4⋊C4×D17C23semidirect
470. #10587576C23semidirect
471. #10587576C23semidirect
472. #10587575C23semidirect
473. #10587575C23semidirect
474. #10587575C23semidirect
475. #10587575C23semidirect
476. #10587575C23semidirect
477. #10587575C23semidirect
478. #10587573C23semidirect
479. #10587573C23semidirect
481. #10587572C23semidirect
482. #10587571C23semidirect
483. #10587571C23semidirect
486. #10587569C23semidirect
487. #10587569C23semidirect
488. #10587569C23semidirect
489. #10587569C23semidirect
494. #10587567C23semidirect
495. #10587567C23semidirect
499. C22⋊C4×D17C23semidirect
500. C22⋊C4×D17C23semidirect
501. C22⋊C4×D17C23semidirect
502. C22⋊C4×D17C23semidirect
503. C22⋊C4×D17C23semidirect
504. #10587565C23semidirect
505. #10587565C23semidirect
506. #10587564C23semidirect
507. #10587564C23semidirect
508. #10587564C23semidirect
509. #10587563C23semidirect
510. #10587563C23semidirect
511. #10587563C23semidirect
512. #10587562C23semidirect
513. #10587562C23semidirect
514. #10587562C23semidirect
515. #10587561C23semidirect
518. C4×D68C23semidirect
519. C4×D68C23semidirect
520. C4×D68C23semidirect
521. C4×D68C23semidirect
522. #10587558C23semidirect
523. #10587558C23semidirect
524. #10587558C23semidirect
525. #10587558C23semidirect
526. #10587558C23semidirect
527. #10587558C23semidirect
528. C42×D17C23semidirect
529. C42×D17C23semidirect
530. #10587556C23semidirect
531. C4×Dic34C23semidirect
908. C2×#552D17semidirect
1001. #552C2×D17semidirect
1034. C2×#126C2×D17semidirect
1035. C2×#126C2×D17semidirect
1045. C2×#125C2×D17semidirect
1046. C2×#125C2×D17semidirect
1047. C2×#125C2×D17semidirect
1100. C2×C22⋊Q8C2×D17semidirect
1101. C2×C22⋊Q8C2×D17semidirect
1115. C2×C4×Q8C2×D17semidirect
1154. C2×#117C2×D17semidirect
1155. C2×#117C2×D17semidirect
1156. C2×#117C2×D17semidirect
1162. C22×C4⋊C4C2×D17semidirect
1179. C2×C17#3491semidirect
1251. #126C22×D17semidirect
1252. #126C22×D17semidirect
1262. #125C22×D17semidirect
1263. #125C22×D17semidirect
1264. #125C22×D17semidirect
1315. C22⋊Q8C22×D17semidirect
1316. C22⋊Q8C22×D17semidirect
1328. C4×Q8C22×D17semidirect
1366. #117C22×D17semidirect
1367. #117C22×D17semidirect
1368. #117C22×D17semidirect
1422. C2×C4⋊C4C22×D17semidirect
1501. C17C2×#3491semidirect
1935. C2#14542479direct (N × H)

Maximal subgroups

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

subgroupindex
#145424792
C2×#117635002
C2×#117634972
C2×#117634962
C2×#117634942
C2×#117634922
C2×#117634912
C2×#117634882
C2×#117634862
C2×#117634842
C2×#117634832
C2×#117634822
C2×#117634342
C2×#117634072
C2×#117634052
C2×#117634002
C2×#117633702
C2×#117633462
C2×#117633442
C2×#117633422
C2×#117633372
C22×#105875802
C2×#123×D172
C2×#117632832
C2×#117632812
C2×#117×D172
C2×C17×#5522
C2×#349117