Finite Group Databasebeta

← C2×#14542615 #17942247

Subgroups — C2×#14542615 #17942247

Order 4352.

8082 conjugacy classes of subgroups.

The subgroup lattice has 2064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542615C2132yesmaximal, direct product factor
2C2×#11763510C211yesmaximal, characteristic, complemented
3C2×#11763510C211yesmaximal, characteristic, complemented
4C2×#11763509C211yesmaximal, characteristic, complemented
5C2×#11763504C211yesmaximal, characteristic, complemented
6C2×#11763504C211yesmaximal, characteristic, complemented
7C2×#11763503C211yesmaximal, characteristic, complemented
8C2×#11763496C211yesmaximal, characteristic, complemented
9C2×#11763492C211yesmaximal, characteristic, complemented
10C2×#11763488C211yesmaximal, characteristic, complemented
11C2×#11763486C211yesmaximal, characteristic, complemented
12C2×#11763485C211yesmaximal, characteristic, complemented
13C2×#11763469C211yesmaximal, characteristic, complemented
14C2×#11763467C211yesmaximal, characteristic, complemented
15C2×#11763449C211yesmaximal, characteristic, complemented
16C2×#11763446C211yesmaximal, characteristic, complemented
17C2×#11763405C211yesmaximal, characteristic, complemented
18C2×#11763400C211yesmaximal, characteristic, complemented
19C2×#11763395C211yesmaximal, characteristic, complemented
20C2×#11763393C211yesmaximal, characteristic, complemented
21C2×#11763370C211yesmaximal, characteristic, complemented
22C2×#11763369C211yesmaximal, characteristic, complemented
23C2×#11763342C211yesmaximal, characteristic, complemented
24C2×#11763337C211yesmaximal, characteristic, complemented
25C2×#11763318C211yesmaximal, characteristic, complemented
26C2×#11763317C211yesmaximal, characteristic, complemented
27C2×C22⋊Q8×D17C211yesmaximal, characteristic, complemented
28C22×#10587570C211yesmaximal, characteristic, complemented
29C2×#11763283C211yesmaximal, characteristic, complemented
30C2×#11763282C211yesmaximal, characteristic, complemented
31C2×C4×D4×D17C211yesmaximal, characteristic, complemented
32C2×C17×#551C211yesmaximal, characteristic, complemented
33C22×#63252C2211yescharacteristic, complemented
34C22×#63254C2211yescharacteristic, complemented
35C22×Q8×D17C2211yescharacteristic, complemented
36C23×D68C2211yescharacteristic
37C23×C22⋊D17C2211yescharacteristic
38C23×C22⋊D17C2211yescharacteristic, complemented
39C22×D4×D17C2211yescharacteristic
40C23×C4×D17C2211yescharacteristic
41C23×C4×D17C2211yescharacteristic, complemented
42#11763510C22116yescomplemented
43#11763510C22116yescomplemented
44#11763509C22116yescomplemented
45#11763504C22116yescomplemented
46#11763504C22116yescomplemented
47#11763503C22116yescomplemented
48#11763496C22116yescomplemented
49#11763492C22116yescomplemented
50#11763488C22116yescomplemented
51#11763486C22116yescomplemented
52#11763485C22116yescomplemented
53#11763469C22116yescomplemented
54#11763467C22116yescomplemented
55#11763449C22116yescomplemented
56#11763446C22116yescomplemented
57#11763405C22116yescomplemented
58#11763400C22116yescomplemented
59#11763395C22116yescomplemented
60#11763393C22116yescomplemented
61#11763370C22116yescomplemented
62#11763369C22116yescomplemented
63#11763342C22116yescomplemented
64#11763337C22116yescomplemented
65C2×#10587584C2211yescharacteristic, complemented
66C2×#10587584C2211yescharacteristic, complemented
67C2×#10587584C2211yescharacteristic, complemented
68C2×#10587584C2211yescharacteristic, complemented
69C2×#10587562C2211yescharacteristic, complemented
70C2×#10587562C2211yescharacteristic, complemented
71C2×#10587565C2211yescharacteristic, complemented
72C2×#10587565C2211yescharacteristic, complemented
73C2×#10587565C2211yescharacteristic, complemented
74C2×#10587565C2211yescharacteristic, complemented
75C2×#10587556C2211yescharacteristic, complemented
76C2×#10587576C2211yescharacteristic, complemented
77C2×#10587575C2211yescharacteristic, complemented
78C2×#10587575C2211yescharacteristic, complemented
79C2×#10587575C2211yescharacteristic, complemented
80C2×#10587575C2211yescharacteristic, complemented
81C2×#10587633C2211yescharacteristic, complemented
82C2×#10587571C2211yescharacteristic, complemented
83C2×#10587571C2211yescharacteristic, complemented
84C2×#10587571C2211yescharacteristic, complemented
85C2×#10587571C2211yescharacteristic, complemented
86#11763318C22116yescomplemented
87#11763317C22116yescomplemented
88C2×#10587580C2211yescharacteristic, complemented
89C2×#10587580C2211yescharacteristic, complemented
90C2×#10587580C2211yescharacteristic, complemented
91C2×#10587580C2211yescharacteristic, complemented
92C2×#10587572C2211yescharacteristic
93C2×#10587572C2211yescharacteristic, complemented
94C2×#10587572C2211yescharacteristic, complemented
95C2×#10587615C2211yescharacteristic
96C2×#10587615C2211yescharacteristic, complemented
97C2×#10587615C2211yescharacteristic, complemented
98C2×#10587569C2211yescharacteristic, complemented
99C2×#10587569C2211yescharacteristic, complemented
100C2×#10587569C2211yescharacteristic, complemented
101C2×#10587569C2211yescharacteristic, complemented
102C2×#10587569C2211yescharacteristic, complemented
103C2×#10587569C2211yescharacteristic, complemented
104C2×#10587621C2211yescharacteristic
105C2×#10587583C2211yescharacteristic, complemented
106C2×#10587610C2211yescharacteristic, complemented
107C2×#10587582C2211yescharacteristic, complemented
108C2×#10587582C2211yescharacteristic, complemented
109C2×#10587582C2211yescharacteristic, complemented
110C2×#10587582C2211yescharacteristic, complemented
111C2×#10587564C2211yescharacteristic, complemented
112C2×#10587564C2211yescharacteristic, complemented
113C2×#10587564C2211yescharacteristic, complemented
114C2×#10587564C2211yescharacteristic, complemented
115C2×#10587632C2211yescharacteristic, complemented
116C2×#10587632C2211yescharacteristic, complemented
117C22⋊Q8×D17C22116yescomplemented
118C2×#10587581C2211yescharacteristic, complemented
119C2×#10587581C2211yescharacteristic, complemented
120C2×#10587616C2211yescharacteristic, complemented
121C2×#10587570C2211yescharacteristic
122C2×#10587570C2211yescharacteristic
123C2×#10587570C2211yescharacteristic
124C2×#10587570C2211yescharacteristic
125C2×#10587570C2211yescharacteristic, complemented
126C2×#10587570C2211yescharacteristic, complemented
127C2×#10587570C2211yescharacteristic, complemented
128C2×#10587570C2211yescharacteristic, complemented
129C2×#10587570C2211yescharacteristic, complemented
130C2×#10587570C2211yescharacteristic, complemented
131C2×#10587570C2211yescharacteristic, complemented
132C2×#10587570C2211yescharacteristic, complemented
133C2×#10587570C2211yescharacteristic, complemented
134C2×#10587570C2211yescharacteristic, complemented
135C2×#10587570C22116yescomplemented
136C2×#10587625C2211yescharacteristic, complemented
137C2×#10587625C2211yescharacteristic, complemented
138C2×#10587624C2211yescharacteristic, complemented
139C2×#10587624C2211yescharacteristic, complemented
140C2×#10587624C2211yescharacteristic, complemented
141C2×#10587568C2211yescharacteristic
142C2×#10587568C2211yescharacteristic, complemented
143C2×#10587568C2211yescharacteristic, complemented
144C2×#10587639C2211yescharacteristic
145C2×#10587623C2211yescharacteristic
146C2×#10587623C2211yescharacteristic, complemented
147C2×#10587623C2211yescharacteristic, complemented
148#11763283C22116yescomplemented
149#11763282C22116yescomplemented
150C2×C4×Dic34C2211yescharacteristic, complemented
151C2×#10587573C2211yescharacteristic, complemented
152C2×C4×D68C2211yescharacteristic, complemented
153C2×C4×D68C2211yescharacteristic, complemented
154C2×C4×D68C2211yescharacteristic, complemented
155C2×C4×D68C2211yescharacteristic, complemented
156C2×C4×D68C2211yescharacteristic, complemented
157C2×D4×Dic17C2211yescharacteristic
158C2×#10587579C2211yescharacteristic, complemented
159C2×#10587579C2211yescharacteristic, complemented
160C2×#10587579C2211yescharacteristic, complemented
161C2×#10587579C2211yescharacteristic, complemented
162C2×#10587579C2211yescharacteristic, complemented
163C2×#10587579C2211yescharacteristic, complemented
164C2×C4×C22⋊D17C2211yescharacteristic
165C2×C4×C22⋊D17C2211yescharacteristic, complemented
166C2×C4×C22⋊D17C2211yescharacteristic, complemented
167C2×C4×C22⋊D17C2211yescharacteristic, complemented
168C2×C4×C22⋊D17C2211yescharacteristic, complemented
169C2×C4×C22⋊D17C2211yescharacteristic, complemented
170C2×C4×C22⋊D17C2211yescharacteristic, complemented
171C2×C4×C22⋊D17C2211yescharacteristic, complemented
172C2×#10587567C2211yescharacteristic
173C2×#10587567C2211yescharacteristic, complemented
174C2×#10587567C2211yescharacteristic, complemented
175C2×#10587567C2211yescharacteristic, complemented
176C2×#10587567C2211yescharacteristic, complemented
177C2×#10587567C2211yescharacteristic, complemented
178C2×#10587567C2211yescharacteristic, complemented
179C2×#10587567C2211yescharacteristic, complemented
180C4×D4×D17C22116yescomplemented
181C2×#10587612C2211yescharacteristic, complemented
182C2×#10587578C2211yescharacteristic, complemented
183C2×#10587558C2211yescharacteristic, complemented
184C2×#10587558C2211yescharacteristic, complemented
185C2×#10587563C2211yescharacteristic, complemented
186C2×#10587563C2211yescharacteristic, complemented
187C2×#10587563C2211yescharacteristic, complemented
188C2×#10587563C2211yescharacteristic, complemented
189C22×#63225C2211yescharacteristic, complemented
190C2×C4⋊C4×D17C2211yescharacteristic, complemented
191C2×C4⋊C4×D17C2211yescharacteristic, complemented
192C2×C4⋊C4×D17C2211yescharacteristic, complemented
193C2×C4⋊C4×D17C2211yescharacteristic, complemented
194C22×C22⋊Dic17C2211yescharacteristic, complemented
195C22×#63227C2211yescharacteristic, complemented
196C2×C22⋊C4×D17C2211yescharacteristic
197C2×C22⋊C4×D17C2211yescharacteristic
198C2×C22⋊C4×D17C2211yescharacteristic
199C2×C22⋊C4×D17C2211yescharacteristic, complemented
200C2×C22⋊C4×D17C2211yescharacteristic, complemented
201C2×C22⋊C4×D17C2211yescharacteristic, complemented
202C2×C42×D17C2211yescharacteristic, complemented
203C17×#551C22116yescomplemented
204C2×C17×#126C2211yescharacteristic, complemented
205C2×C17×#126C2211yescharacteristic, complemented
206C2×C17×#124C2211yescharacteristic, complemented
207C2×C17×#123C2211yescharacteristic
208C2×C17×#123C2211yescharacteristic, complemented
209C2×C17×#123C2211yescharacteristic, complemented
210C2×C17×C22⋊Q8C2211yescharacteristic, complemented
211C2×C17×C22⋊Q8C2211yescharacteristic, complemented
212C2×C17×#120C2211yescharacteristic
213C2×C4×D4×C17C2211yescharacteristic
214C2×C4×D4×C17C2211yescharacteristic, complemented
215C2×C17×#117C2211yescharacteristic, complemented
216C2×C17×#117C2211yescharacteristic, complemented
217C22×C22⋊C4×C17C2211yescharacteristic, complemented
218C22×C22⋊C4×C17C2211yescharacteristic, complemented
219C25×C17C2311yescharacteristic
220C24×D17C2311yescharacteristic
221C24×D17C2311yescharacteristic
222C24×D17C2311yescharacteristic
223C22×Q8×C17C2311yescharacteristic
224C22×D4×C17C2311yescharacteristic
225C22×D4×C17C2311yescharacteristic
226C22×D4×C17C2311yescharacteristic
227C23×C4×C17C2311yescharacteristic
228C23×C4×C17C2311yescharacteristic
229C23×C4×C17C2311yescharacteristic
230C23×C4×C17C2311yescharacteristic
231C23×C4×C17C2311yescharacteristic
232C22×C22⋊D17—28no—
233C22×C22⋊D17—44no—
234C22×C22⋊D17C2311yescharacteristic
235C22×C22⋊D17C2311yescharacteristic
236C22×C22⋊D17C2311yescharacteristic
237C22×C22⋊D17C2311yescharacteristic
238C22×C22⋊D17C2311yescharacteristic
239C22×C22⋊D17C2311yescharacteristic
240C22×C22⋊D17C2311yescharacteristic
241C22×C22⋊D17C2311yescharacteristic
242C22×C22⋊D17C2318yes—
243C22×C22⋊D17C2311yescharacteristic
244C22×C22⋊D17C2311yescharacteristic
245C22×C22⋊D17C2311yescharacteristic
246C22×C22⋊D17C2311yescharacteristic
247C22×C22⋊D17C2311yescharacteristic
248C22×C22⋊D17C2311yescharacteristic
249C22×C22⋊D17C2318yescomplemented
250C23×Dic17C2311yescharacteristic
251C23×Dic17C2311yescharacteristic
252C23×Dic17C2311yescharacteristic
253C23×Dic17C2311yescharacteristic
254C23×Dic17C2311yescharacteristic
255C2×Q8×D17—44no—
256C2×Q8×D17C2318yescomplemented
257C2×#63254—44no—
258C2×#63254C2318yescomplemented
259C2×D4×D17—28no—
260C2×D4×D17C2318yes—
261C2×#63252—44no—
262C2×#63252C2318yescomplemented
263C22×D68—28no—
264C22×D68C2311yescharacteristic
265C22×D68C2311yescharacteristic
266C22×D68C2311yescharacteristic
267C22×D68C2311yescharacteristic
268C22×D68C2311yescharacteristic
269C22×D68C2318yes—
270C22×D68C2311yescharacteristic
271C22×D68C2311yescharacteristic
272C22×C4×D17—44no—
273C22×C4×D17—44no—
274C22×C4×D17C2311yescharacteristic
275C22×C4×D17C2311yescharacteristic
276C22×C4×D17C2311yescharacteristic
277C22×C4×D17C2311yescharacteristic
278C22×C4×D17C2311yescharacteristic
279C22×C4×D17C2311yescharacteristic
280C22×C4×D17C2311yescharacteristic
281C22×C4×D17C2311yescharacteristic
282C22×C4×D17C2311yescharacteristic
283C22×C4×D17C2311yescharacteristic
284C22×C4×D17C2311yescharacteristic
285C22×C4×D17C2311yescharacteristic
286C22×C4×D17C2311yescharacteristic
287C22×C4×D17C2311yescharacteristic
288C22×C4×D17C2311yescharacteristic
289C22×C4×D17C2311yescharacteristic
290C22×C4×D17C2318yes—
291C22×C4×D17C2311yescharacteristic
292C22×C4×D17C2318yescomplemented
293C22×Dic34C2311yescharacteristic
294C22×Dic34C2311yescharacteristic
295C22×Dic34C2311yescharacteristic
296C17×#126C2318yescomplemented
297C17×#126C2318yescomplemented
298C17×#124C2318yescomplemented
299C17×#123C2318yes—
300C17×#123C2318yescomplemented
301C17×#123C2318yescomplemented
302C17×C22⋊Q8C2318yescomplemented
303C17×C22⋊Q8C2318yescomplemented
304C17×#120C2318yes—
305C4×D4×C17C2318yes—
306C4×D4×C17C2318yescomplemented
307C17×#117C2318yescomplemented
308C17×#117C2318yescomplemented
309C2×C4⋊C4×C17C2311yescharacteristic
310C2×C4⋊C4×C17C2311yescharacteristic
311C2×C4⋊C4×C17C2311yescharacteristic
312C2×C4⋊C4×C17C2311yescharacteristic
313C2×C4⋊C4×C17C2311yescharacteristic
314C2×C4⋊C4×C17C2311yescharacteristic
315C2×C4⋊C4×C17C2311yescharacteristic
316C2×C4⋊C4×C17C2311yescharacteristic
317C2×C22⋊C4×C17C2311yescharacteristic
318C2×C22⋊C4×C17C2311yescharacteristic
319C2×C22⋊C4×C17C2311yescharacteristic
320C2×C22⋊C4×C17C2311yescharacteristic
321C2×C22⋊C4×C17C2311yescharacteristic
322C2×C22⋊C4×C17C2311yescharacteristic
323C2×C22⋊C4×C17C2311yescharacteristic
324C2×C22⋊C4×C17C2311yescharacteristic
325C2×C22⋊C4×C17C2311yescharacteristic
326C2×C22⋊C4×C17C2311yescharacteristic
327C2×C22⋊C4×C17C2311yescharacteristic
328C2×C22⋊C4×C17C2311yescharacteristic
329C2×C22⋊C4×C17C2311yescharacteristic
330C2×C22⋊C4×C17C2311yescharacteristic
331C2×C22⋊C4×C17C2318yescomplemented
332C2×C22⋊C4×C17C2318yescomplemented
333C2×C42×C17C2311yescharacteristic
334C2×C42×C17C2311yescharacteristic
335C2×C42×C17C2311yescharacteristic
336#10587639C2318yes—
337C2×C22⋊Dic17C2311yescharacteristic
338C2×C22⋊Dic17C2311yescharacteristic
339C2×C22⋊Dic17C2311yescharacteristic
340C2×C22⋊Dic17C2311yescharacteristic
341C2×C22⋊Dic17C2311yescharacteristic
342C2×C22⋊Dic17C2311yescharacteristic
343C2×C22⋊Dic17C2311yescharacteristic
344C2×C22⋊Dic17C2311yescharacteristic
345C2×C22⋊Dic17C2311yescharacteristic
346C2×C22⋊Dic17C2311yescharacteristic
347C2×C22⋊Dic17C2318yescomplemented
348#10587633C2318yescomplemented
349#10587632C2318yescomplemented
350#10587632C2318yescomplemented
351#10587625C2318yescomplemented
352#10587625C2318yescomplemented
353#10587624C2318yescomplemented
354#10587624C2318yescomplemented
355#10587624C2318yescomplemented
356#10587623C2318yes—
357#10587623C2318yescomplemented
358#10587623C2318yescomplemented
359#10587621C2318yes—
360D4×Dic17C2318yes—
361#10587616C2318yescomplemented
362#10587615C2318yes—
363#10587615C2318yescomplemented
364#10587615C2318yescomplemented
365C4×C22⋊D17C2318yes—
366C4×C22⋊D17C2318yescomplemented
367C4×C22⋊D17C2318yescomplemented
368C4×C22⋊D17C2318yescomplemented
369C4×C22⋊D17C2318yescomplemented
370C4×C22⋊D17C2318yescomplemented
371C4×C22⋊D17C2318yescomplemented
372C4×C22⋊D17C2318yescomplemented
373C2×#63227C2311yescharacteristic
374C2×#63227C2311yescharacteristic
375C2×#63227C2311yescharacteristic
376C2×#63227C2311yescharacteristic
377C2×#63227C2311yescharacteristic
378C2×#63227C2311yescharacteristic
379C2×#63227C2311yescharacteristic
380C2×#63227C2311yescharacteristic
381C2×#63227C2311yescharacteristic
382C2×#63227C2311yescharacteristic
383C2×#63227C2311yescharacteristic
384C2×#63227C2311yescharacteristic
385C2×#63227C2311yescharacteristic
386C2×#63227C2311yescharacteristic
387C2×#63227C2311yescharacteristic
388C2×#63227C2311yescharacteristic
389C2×#63227C2311yescharacteristic
390C2×#63227C2311yescharacteristic
391C2×#63227C2311yescharacteristic
392C2×#63227C2311yescharacteristic
393C2×#63227C2311yescharacteristic
394C2×#63227C2311yescharacteristic
395C2×#63227C2311yescharacteristic
396C2×#63227C2311yescharacteristic
397C2×#63227C2318yescomplemented
398#10587612C2318yescomplemented
399C2×C4⋊Dic17C2311yescharacteristic
400C2×C4⋊Dic17C2311yescharacteristic
401C2×C4⋊Dic17C2311yescharacteristic
402C2×C4⋊Dic17C2311yescharacteristic
403C2×C4⋊Dic17C2311yescharacteristic
404C2×C4⋊Dic17C2311yescharacteristic
405C2×C4⋊Dic17C2311yescharacteristic
406C2×C4⋊Dic17C2311yescharacteristic
407#10587610C2318yescomplemented
408C2×#63225C2311yescharacteristic
409C2×#63225C2311yescharacteristic
410C2×#63225C2311yescharacteristic
411C2×#63225C2311yescharacteristic
412C2×#63225C2311yescharacteristic
413C2×#63225C2311yescharacteristic
414C2×#63225C2311yescharacteristic
415C2×#63225C2311yescharacteristic
416C2×#63225C2311yescharacteristic
417C2×#63225C2311yescharacteristic
418C2×#63225C2311yescharacteristic
419C2×#63225C2311yescharacteristic
420C2×#63225C2311yescharacteristic
421C2×#63225C2311yescharacteristic
422C2×#63225C2311yescharacteristic
423C2×#63225C2311yescharacteristic
424C2×#63225C2311yescharacteristic
425C2×#63225C2311yescharacteristic
426C2×#63225C2311yescharacteristic
427C2×#63225C2311yescharacteristic
428C2×#63225C2318yescomplemented
429C2×C4×Dic17C2311yescharacteristic
430C2×C4×Dic17C2311yescharacteristic
431C2×C4×Dic17C2311yescharacteristic
432C2×C4×Dic17C2311yescharacteristic
433C2×C4×Dic17C2311yescharacteristic
434C2×C4×Dic17C2311yescharacteristic
435C2×C4×Dic17C2311yescharacteristic
436C2×C4×Dic17C2311yescharacteristic
437C2×C4×Dic17C2311yescharacteristic
438#10587584C2318yescomplemented
439#10587584C2318yescomplemented
440#10587584C2318yescomplemented
441#10587584C2318yescomplemented
442#10587583C2318yescomplemented
443#10587582C2318yescomplemented
444#10587582C2318yescomplemented
445#10587582C2318yescomplemented
446#10587582C2318yescomplemented
447#10587581C2318yescomplemented
448#10587581C2318yescomplemented
449#10587580C2318yescomplemented
450#10587580C2318yescomplemented
451#10587580C2318yescomplemented
452#10587580C2318yescomplemented
453#10587579C2318yescomplemented
454#10587579C2318yescomplemented
455#10587579C2318yescomplemented
456#10587579C2318yescomplemented
457#10587579C2318yescomplemented
458#10587579C2318yescomplemented
459#10587578C2318yescomplemented
460C4⋊C4×D17C2318yescomplemented
461C4⋊C4×D17C2318yescomplemented
462C4⋊C4×D17C2318yescomplemented
463C4⋊C4×D17C2318yescomplemented
464#10587576C2318yescomplemented
465#10587575C2318yescomplemented
466#10587575C2318yescomplemented
467#10587575C2318yescomplemented
468#10587575C2318yescomplemented
469#10587573C2318yescomplemented
470#10587572C2318yes—
471#10587572C2318yescomplemented
472#10587572C2318yescomplemented
473#10587571C2318yescomplemented
474#10587571C2318yescomplemented
475#10587571C2318yescomplemented
476#10587571C2318yescomplemented
477#10587570C2318yes—
478#10587570C2318yes—
479#10587570C2318yes—
480#10587570C2318yes—
481#10587570C2318yescomplemented
482#10587570C2318yescomplemented
483#10587570C2318yescomplemented
484#10587570C2318yescomplemented
485#10587570C2318yescomplemented
486#10587570C2318yescomplemented
487#10587570C2318yescomplemented
488#10587570C2318yescomplemented
489#10587570C2318yescomplemented
490#10587570C2318yescomplemented
491#10587569C2318yescomplemented
492#10587569C2318yescomplemented
493#10587569C2318yescomplemented
494#10587569C2318yescomplemented
495#10587569C2318yescomplemented
496#10587569C2318yescomplemented
497#10587568C2318yes—
498#10587568C2318yescomplemented
499#10587568C2318yescomplemented
500#10587567C2318yes—
501#10587567C2318yescomplemented
502#10587567C2318yescomplemented
503#10587567C2318yescomplemented
504#10587567C2318yescomplemented
505#10587567C2318yescomplemented
506#10587567C2318yescomplemented
507#10587567C2318yescomplemented
508C22⋊C4×D17C2318yes—
509C22⋊C4×D17C2318yes—
510C22⋊C4×D17C2318yes—
511C22⋊C4×D17C2318yescomplemented
512C22⋊C4×D17C2318yescomplemented
513C22⋊C4×D17C2318yescomplemented
514#10587565C2318yescomplemented
515#10587565C2318yescomplemented
516#10587565C2318yescomplemented
517#10587565C2318yescomplemented
518#10587564C2318yescomplemented
519#10587564C2318yescomplemented
520#10587564C2318yescomplemented
521#10587564C2318yescomplemented
522#10587563C2318yescomplemented
523#10587563C2318yescomplemented
524#10587563C2318yescomplemented
525#10587563C2318yescomplemented
526#10587562C2318yescomplemented
527#10587562C2318yescomplemented
528C4×D68C2318yescomplemented
529C4×D68C2318yescomplemented
530C4×D68C2318yescomplemented
531C4×D68C2318yescomplemented
532C4×D68C2318yescomplemented
533#10587558C2318yescomplemented
534#10587558C2318yescomplemented
535C42×D17C2318yescomplemented
536#10587556C2318yescomplemented
537C4×Dic34C2318yescomplemented
538C24×C17—24no—
539C24×C17—42no—
540C24×C17—42no—
541C24×C17C2411yescharacteristic
542C24×C17C2411yescharacteristic
543C24×C17C2411yescharacteristic
544C24×C17C2411yescharacteristic
545C24×C17C2414yes—
546C23×D17—24no—
547C23×D17—24no—
548C23×D17—42no—
549C23×D17—42no—
550C23×D17—42no—
551C23×D17—42no—
552C23×D17—42no—
553C23×D17—42no—
554C23×D17#4118yescomplemented
555C23×D17C2411yescharacteristic
556C23×D17C2411yescharacteristic
557C23×D17C2411yescharacteristic
558C23×D17C2411yescharacteristic
559C23×D17C2411yescharacteristic
560C23×D17C2414yes—
561C23×D17C2414yes—
562C23×D17C2414yes—
563C2×Q8×C17—42no—
564C2×Q8×C17C2414yes—
565C2×D4×C17—24no—
566C2×D4×C17—42no—
567C2×D4×C17—42no—
568C2×D4×C17C2414yes—
569C2×D4×C17C2414yes—
570C2×D4×C17C2414yes—
571C22×C4×C17—24no—
572C22×C4×C17—42no—
573C22×C4×C17—42no—
574C22×C4×C17—42no—
575C22×C4×C17—42no—
576C22×C4×C17C2414yes—
577C22×C4×C17C2411yescharacteristic
578C22×C4×C17C2411yescharacteristic
579C22×C4×C17C2411yescharacteristic
580C22×C4×C17C2411yescharacteristic
581C22×C4×C17C2411yescharacteristic
582C22×C4×C17C2411yescharacteristic
583C22×C4×C17C2411yescharacteristic
584C22×C4×C17C2411yescharacteristic
585C22×C4×C17C2411yescharacteristic
586C22×C4×C17C2411yescharacteristic
587C22×C4×C17C2411yescharacteristic
588C22×C4×C17C2414yes—
589C22×C4×C17C2414yes—
590C22×C4×C17C2414yes—
591C22×C4×C17C2414yes—
592C2×C22⋊D17—24no—
593C2×C22⋊D17—24no—
594C2×C22⋊D17—24no—
595C2×C22⋊D17—24no—
596C2×C22⋊D17—24no—
597C2×C22⋊D17—24no—
598C2×C22⋊D17—232no—
599C2×C22⋊D17—24no—
600C2×C22⋊D17—24no—
601C2×C22⋊D17—416no—
602C2×C22⋊D17—42no—
603C2×C22⋊D17—42no—
604C2×C22⋊D17—42no—
605C2×C22⋊D17—42no—
606C2×C22⋊D17—42no—
607C2×C22⋊D17—42no—
608C2×C22⋊D17C2414yes—
609C2×C22⋊D17C2414yes—
610C2×C22⋊D17C2414yes—
611C2×C22⋊D17C2414yes—
612C2×C22⋊D17C2414yes—
613C2×C22⋊D17C2414yes—
614C2×C22⋊D17C2414yes—
615C2×C22⋊D17C2414yes—
616C2×C22⋊D17C2414yes—
617C2×C22⋊D17C2414yes—
618C2×C22⋊D17C2414yes—
619C2×C22⋊D17C2414yes—
620C2×C22⋊D17C2414yes—
621C2×C22⋊D17C2414yes—
622C22×Dic17—24no—
623C22×Dic17—24no—
624C22×Dic17—24no—
625C22×Dic17—42no—
626C22×Dic17—42no—
627C22×Dic17C2411yescharacteristic
628C22×Dic17C2411yescharacteristic
629C22×Dic17C2411yescharacteristic
630C22×Dic17C2411yescharacteristic
631C22×Dic17C2414yes—
632C22×Dic17C2411yescharacteristic
633C22×Dic17C2411yescharacteristic
634C22×Dic17C2411yescharacteristic
635C22×Dic17C2411yescharacteristic
636C22×Dic17C2414yes—
637C22×Dic17C2414yes—
638C22×Dic17C2411yescharacteristic
639C22×Dic17C2411yescharacteristic
640C22×Dic17C2414yes—
641C22×Dic17C2414yes—
642C22×Dic17C2411yescharacteristic
643Q8×D17—416no—
644#63254—416no—
645D4×D17—232no—
646#63252—416no—
647C2×D68—24no—
648C2×D68—24no—
649C2×D68—24no—
650C2×D68—24no—
651C2×D68—24no—
652C2×D68—232no—
653C2×D68—42no—
654C2×D68—42no—
655C2×D68C2414yes—
656C2×D68C2414yes—
657C2×D68C2414yes—
658C2×D68C2414yes—
659C2×D68C2414yes—
660C2×D68C2414yes—
661C2×D68C2414yes—
662C2×C4×D17—24no—
663C2×C4×D17—24no—
664C2×C4×D17—24no—
665C2×C4×D17—24no—
666C2×C4×D17—416no—
667C2×C4×D17—416no—
668C2×C4×D17—42no—
669C2×C4×D17—42no—
670C2×C4×D17—42no—
671C2×C4×D17—42no—
672C2×C4×D17—42no—
673C2×C4×D17—42no—
674C2×C4×D17—42no—
675C2×C4×D17—42no—
676C2×C4×D17—42no—
677C2×C4×D17—42no—
678C2×C4×D17—42no—
679C2×C4×D17—42no—
680C2×C4×D17—42no—
681C2×C4×D17C2414yes—
682C2×C4×D17C2414yes—
683C2×C4×D17C2414yes—
684C2×C4×D17C2414yes—
685C2×C4×D17C2414yes—
686C2×C4×D17C2414yes—
687C2×C4×D17C2414yes—
688C2×C4×D17C2414yes—
689C2×C4×D17C2414yes—
690C2×C4×D17C2414yes—
691C2×C4×D17C2414yes—
692C2×C4×D17C2414yes—
693C2×C4×D17C2414yes—
694C2×C4×D17C2414yes—
695C2×C4×D17C2414yes—
696C2×C4×D17C2414yes—
697C2×C4×D17C2414yes—
698C2×Dic34—24no—
699C2×Dic34—24no—
700C2×Dic34—42no—
701C2×Dic34C2414yes—
702C2×Dic34C2414yes—
703C2×Dic34C2414yes—
704C4⋊C4×C17C2414yes—
705C4⋊C4×C17C2414yes—
706C4⋊C4×C17C2414yes—
707C4⋊C4×C17C2414yes—
708C4⋊C4×C17C2414yes—
709C4⋊C4×C17C2414yes—
710C4⋊C4×C17C2414yes—
711C4⋊C4×C17C2414yes—
712C22⋊C4×C17C2414yes—
713C22⋊C4×C17C2414yes—
714C22⋊C4×C17C2414yes—
715C22⋊C4×C17C2414yes—
716C22⋊C4×C17C2414yes—
717C22⋊C4×C17C2414yes—
718C22⋊C4×C17C2414yes—
719C22⋊C4×C17C2414yes—
720C22⋊C4×C17C2414yes—
721C22⋊C4×C17C2414yes—
722C22⋊C4×C17C2414yes—
723C22⋊C4×C17C2414yes—
724C22⋊C4×C17C2414yes—
725C22⋊C4×C17C2414yes—
726C42×C17C2414yes—
727C42×C17C2414yes—
728C42×C17C2414yes—
729C22⋊Dic17C2414yes—
730C22⋊Dic17C2414yes—
731C22⋊Dic17C2414yes—
732C22⋊Dic17C2414yes—
733C22⋊Dic17C2414yes—
734C22⋊Dic17C2414yes—
735C22⋊Dic17C2414yes—
736C22⋊Dic17C2414yes—
737C22⋊Dic17C2414yes—
738C22⋊Dic17C2414yes—
739#63227C2414yes—
740#63227C2414yes—
741#63227C2414yes—
742#63227C2414yes—
743#63227C2414yes—
744#63227C2414yes—
745#63227C2414yes—
746#63227C2414yes—
747#63227C2414yes—
748#63227C2414yes—
749#63227C2414yes—
750#63227C2414yes—
751#63227C2414yes—
752#63227C2414yes—
753#63227C2414yes—
754#63227C2414yes—
755#63227C2414yes—
756#63227C2414yes—
757#63227C2414yes—
758#63227C2414yes—
759#63227C2414yes—
760#63227C2414yes—
761#63227C2414yes—
762#63227C2414yes—
763C4⋊Dic17C2414yes—
764C4⋊Dic17C2414yes—
765C4⋊Dic17C2414yes—
766C4⋊Dic17C2414yes—
767C4⋊Dic17C2414yes—
768C4⋊Dic17C2414yes—
769C4⋊Dic17C2414yes—
770C4⋊Dic17C2414yes—
771#63225C2414yes—
772#63225C2414yes—
773#63225C2414yes—
774#63225C2414yes—
775#63225C2414yes—
776#63225C2414yes—
777#63225C2414yes—
778#63225C2414yes—
779#63225C2414yes—
780#63225C2414yes—
781#63225C2414yes—
782#63225C2414yes—
783#63225C2414yes—
784#63225C2414yes—
785#63225C2414yes—
786#63225C2414yes—
787#63225C2414yes—
788#63225C2414yes—
789#63225C2414yes—
790#63225C2414yes—
791C4×Dic17C2414yes—
792C4×Dic17C2414yes—
793C4×Dic17C2414yes—
794C4×Dic17C2414yes—
795C4×Dic17C2414yes—
796C4×Dic17C2414yes—
797C4×Dic17C2414yes—
798C4×Dic17C2414yes—
799C4×Dic17C2414yes—
800C2×#3505—171nomaximal, Sylow
801C23×C17—22no—
802C23×C17—22no—
803C23×C17—22no—
804C23×C17—22no—
805C23×C17—22no—
806C23×C17—22no—
807C23×C17—22no—
808C23×C17—22no—
809C23×C17—22no—
810C23×C17—22no—
811C23×C17—22no—
812C23×C17—28no—
813C23×C17—44no—
814C23×C17—44no—
815C23×C17—88no—
816C23×C17C2×#4114yes—
817C23×C17C2512yes—
818C23×C17C2512yes—
819C23×C17C2512yes—
820C23×C17C2512yes—
821C23×C17C2511yescharacteristic
822C22×D17—22no—
823C22×D17—22no—
824C22×D17—22no—
825C22×D17—22no—
826C22×D17—22no—
827C22×D17—22no—
828C22×D17—22no—
829C22×D17—22no—
830C22×D17—22no—
831C22×D17—22no—
832C22×D17—22no—
833C22×D17—22no—
834C22×D17—22no—
835C22×D17—28no—
836C22×D17—28no—
837C22×D17—44no—
838C22×D17—44no—
839C22×D17—416no—
840C22×D17—44no—
841C22×D17—44no—
842C22×D17—44no—
843C22×D17—44no—
844C22×D17—416no—
845C22×D17—88no—
846C22×D17C2×#4114yes—
847C22×D17C2×#4114yes—
848C22×D17C2×#41116yescomplemented
849C22×D17C2512yes—
850C22×D17C2512yes—
851C22×D17C2512yes—
852C22×D17C2512yes—
853C22×D17C2512yes—
854Q8×C17—44no—
855D4×C17—28no—
856D4×C17—44no—
857D4×C17—44no—
858C2×C4×C17—22no—
859C2×C4×C17—28no—
860C2×C4×C17—22no—
861C2×C4×C17—22no—
862C2×C4×C17—22no—
863C2×C4×C17—22no—
864C2×C4×C17—22no—
865C2×C4×C17—22no—
866C2×C4×C17—22no—
867C2×C4×C17—22no—
868C2×C4×C17—22no—
869C2×C4×C17—22no—
870C2×C4×C17—44no—
871C2×C4×C17—44no—
872C2×C4×C17—44no—
873C2×C4×C17—44no—
874C2×C4×C17C2512yes—
875C2×C4×C17C2512yes—
876C2×C4×C17C2512yes—
877C2×C4×C17C2512yes—
878C2×C4×C17C2512yes—
879C2×C4×C17C2512yes—
880C2×C4×C17C2512yes—
881C2×C4×C17C2512yes—
882C2×C4×C17C2512yes—
883C2×C4×C17C2512yes—
884C2×C4×C17C2512yes—
885C22⋊D17—28no—
886C22⋊D17—28no—
887C22⋊D17—28no—
888C22⋊D17—28no—
889C22⋊D17—28no—
890C22⋊D17—28no—
891C22⋊D17—28no—
892C22⋊D17—28no—
893C22⋊D17—44no—
894C22⋊D17—44no—
895C22⋊D17—44no—
896C22⋊D17—44no—
897C22⋊D17—44no—
898C22⋊D17—44no—
899C2×Dic17—22no—
900C2×Dic17—28no—
901C2×Dic17—22no—
902C2×Dic17—22no—
903C2×Dic17—22no—
904C2×Dic17—22no—
905C2×Dic17—22no—
906C2×Dic17—22no—
907C2×Dic17—22no—
908C2×Dic17—22no—
909C2×Dic17—22no—
910C2×Dic17—28no—
911C2×Dic17—28no—
912C2×Dic17—44no—
913C2×Dic17—44no—
914C2×Dic17H(5,𝔽2)14yes—
915C2×Dic17C2512yes—
916C2×Dic17C2512yes—
917C2×Dic17C2512yes—
918C2×Dic17C2512yes—
919C2×Dic17C2512yes—
920C2×Dic17C2512yes—
921C2×Dic17C2512yes—
922C2×Dic17C2512yes—
923C2×Dic17C2512yes—
924C2×Dic17C2512yes—
925C2×Dic17C2512yes—
926D68—28no—
927D68—28no—
928D68—28no—
929D68—28no—
930D68—28no—
931D68—44no—
932D68—44no—
933C4×D17—28no—
934C4×D17—28no—
935C4×D17—28no—
936C4×D17—28no—
937C4×D17—44no—
938C4×D17—44no—
939C4×D17—44no—
940C4×D17—44no—
941C4×D17—44no—
942C4×D17—44no—
943C4×D17—44no—
944C4×D17—44no—
945C4×D17—44no—
946C4×D17—44no—
947C4×D17—44no—
948C4×D17—44no—
949C4×D17—44no—
950Dic34—28no—
951Dic34—28no—
952Dic34—44no—
953#3505—1732no—
954C2×#553—171no—
955C2×#553—171no—
956C2×#553—171no—
957C2×#553—171no—
958C2×#553—171no—
959C2×#553—171no—
960C2×#552—171no—
961C2×#552—171no—
962C2×#551—171no—
963C2×#551—171no—
964C2×#551—171no—
965C2×#551D1711yescharacteristic, complemented
966C2×#548—171no—
967C2×#548—171no—
968C2×#546—171no—
969C2×#546—171no—
970C2×#539—171no—
971C2×#539—171no—
972C2×#538—171no—
973C2×#538—171no—
974C2×#534—171no—
975C2×#534—171no—
976C2×#529—171no—
977C2×#529—171no—
978C2×#525—171no—
979C2×#525—171no—
980C22×C22⋊Q8—171no—
981C22×#121—171no—
982C2×#518—171no—
983C2×#518—171no—
984C22×C4×D4—171no—
985C22×C17—22no—
986C22×C17—22no—
987C22×C17—28no—
988C22×C17—22no—
989C22×C17—22no—
990C22×C17—22no—
991C22×C17—22no—
992C22×C17—22no—
993C22×C17—22no—
994C22×C17—22no—
995C22×C17—22no—
996C22×C17—22no—
997C22×C17—44no—
998C22×C17—44no—
999C22×C17—44no—
1000C22×C17—88no—
1001C22×C17C22×#4114yes—
1002C22×C17C22×#4112yes—
1003C22×C17C2×H(5,𝔽2)12yes—
1004C22×C17#58512yes—
1005C22×C17C2611yescharacteristic
1006C2×D17—22no—
1007C2×D17—22no—
1008C2×D17—22no—
1009C2×D17—22no—
1010C2×D17—28no—
1011C2×D17—28no—
1012C2×D17—22no—
1013C2×D17—22no—
1014C2×D17—22no—
1015C2×D17—22no—
1016C2×D17—22no—
1017C2×D17—22no—
1018C2×D17—22no—
1019C2×D17—22no—
1020C2×D17—22no—
1021C2×D17—416no—
1022C2×D17—416no—
1023C2×D17—44no—
1024C2×D17—44no—
1025C2×D17—44no—
1026C2×D17—88no—
1027C2×D17C22×#4114yes—
1028C2×D17C22×#4114yes—
1029C4×C17—22no—
1030C4×C17—22no—
1031C4×C17—22no—
1032C4×C17—22no—
1033C4×C17—22no—
1034C4×C17—22no—
1035C4×C17—22no—
1036C4×C17—22no—
1037C4×C17—22no—
1038C4×C17—22no—
1039C4×C17—22no—
1040Dic17—22no—
1041Dic17—22no—
1042Dic17—22no—
1043Dic17—22no—
1044Dic17—22no—
1045Dic17—22no—
1046Dic17—22no—
1047Dic17—22no—
1048Dic17—22no—
1049Dic17—22no—
1050Dic17C2×H(5,𝔽2)14yes—
1051C22×#41—171no—
1052C22×#41—171no—
1053C23×Q8—171no—
1054C23×D4—171no—
1055C23×D4—171no—
1056C23×D4—171no—
1057C23×D4—171no—
1058C24×C4—171no—
1059C24×C4—171no—
1060#553—1716no—
1061#553—1716no—
1062#553—1716no—
1063#553—1716no—
1064#553—1716no—
1065#553—1716no—
1066#552—1716no—
1067#552—1716no—
1068#551—1716no—
1069#551—1716no—
1070#551—1716no—
1071#551C2×D17116yescomplemented
1072#548—1716no—
1073#548—1716no—
1074#546—1716no—
1075#546—1716no—
1076#539—1716no—
1077#539—1716no—
1078#538—1716no—
1079#538—1716no—
1080#534—1716no—
1081#534—1716no—
1082#529—1716no—
1083#529—1716no—
1084C2×#126—171no—
1085C2×#126—171no—
1086C2×#126—171no—
1087C2×#126—171no—
1088C2×#126—171no—
1089C2×#126—171no—
1090C2×#126—171no—
1091C2×#126—171no—
1092C2×#126—171no—
1093C2×#126—171no—
1094C2×#126C2×D1711yescharacteristic, complemented
1095C2×#126C2×D1711yescharacteristic, complemented
1096C2×#125—171no—
1097C2×#125—171no—
1098C2×#125—171no—
1099C2×#125—171no—
1100C2×#125—171no—
1101C2×#125—171no—
1102C2×#124—171no—
1103C2×#124—171no—
1104C2×#124—171no—
1105C2×#124—171no—
1106C2×#124—171no—
1107C2×#124C2×D1711yescharacteristic, complemented
1108#525—1716no—
1109#525—1716no—
1110C2×#123—171no—
1111C2×#123—171no—
1112C2×#123—171no—
1113C2×#123—171no—
1114C2×#123—171no—
1115C2×#123—171no—
1116C2×#123—171no—
1117C2×#123—171no—
1118C2×#123—171no—
1119C2×#123—171no—
1120C2×#123—171no—
1121C2×#123—171no—
1122C2×#123—171no—
1123C2×#123—171no—
1124C2×#123—171no—
1125C2×#123—171no—
1126C2×#123—171no—
1127C2×#123C2×D1711yescharacteristic
1128C2×#123C2×D1711yescharacteristic, complemented
1129C2×#123C2×D1711yescharacteristic, complemented
1130C2×C22⋊Q8—171no—
1131C2×C22⋊Q8—171no—
1132C2×C22⋊Q8—171no—
1133C2×C22⋊Q8—1716no—
1134C2×C22⋊Q8—171no—
1135C2×C22⋊Q8—171no—
1136C2×C22⋊Q8—171no—
1137C2×C22⋊Q8—171no—
1138C2×C22⋊Q8—171no—
1139C2×C22⋊Q8—171no—
1140C2×C22⋊Q8—171no—
1141C2×C22⋊Q8—171no—
1142C2×C22⋊Q8—171no—
1143C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1144C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1145C2×#121—171no—
1146C2×#121—171no—
1147C2×#121—171no—
1148C2×#121—171no—
1149C2×#121—171no—
1150C2×#121—171no—
1151C2×#121—171no—
1152C2×#121—171no—
1153C2×#121—171no—
1154C2×#121—171no—
1155C2×#121—171no—
1156C2×#121—171no—
1157C2×#121—171no—
1158C2×#121—171no—
1159C2×#121—171no—
1160C2×#121—171no—
1161C2×#121—171no—
1162C2×#121—171no—
1163C2×#121—171no—
1164C2×#121—171no—
1165C2×#121—171no—
1166C2×#121—171no—
1167C2×#121—1716no—
1168C2×#120—171no—
1169C2×#120—171no—
1170C2×#120—171no—
1171C2×#120—171no—
1172C2×#120—171no—
1173C2×#120—171no—
1174C2×#120—171no—
1175C2×#120C2×D1711yescharacteristic
1176#518—1716no—
1177#518—1716no—
1178C2×C4×Q8—171no—
1179C2×C4×Q8—171no—
1180C2×C4×D4—171no—
1181C2×C4×D4—171no—
1182C2×C4×D4—171no—
1183C2×C4×D4—171no—
1184C2×C4×D4—171no—
1185C2×C4×D4—171no—
1186C2×C4×D4—171no—
1187C2×C4×D4—171no—
1188C2×C4×D4—171no—
1189C2×C4×D4—1716no—
1190C2×C4×D4—171no—
1191C2×C4×D4—171no—
1192C2×C4×D4—171no—
1193C2×C4×D4—171no—
1194C2×C4×D4—171no—
1195C2×C4×D4—171no—
1196C2×C4×D4—171no—
1197C2×C4×D4—171no—
1198C2×C4×D4—171no—
1199C2×C4×D4—171no—
1200C2×C4×D4—171no—
1201C2×C4×D4—171no—
1202C2×C4×D4—171no—
1203C2×C4×D4—171no—
1204C2×C4×D4—171no—
1205C2×C4×D4—171no—
1206C2×C4×D4—171no—
1207C2×C4×D4—171no—
1208C2×C4×D4—171no—
1209C2×C4×D4C2×D1711yescharacteristic
1210C2×C4×D4C2×D1711yescharacteristic, complemented
1211C2×#117—171no—
1212C2×#117—171no—
1213C2×#117—171no—
1214C2×#117—171no—
1215C2×#117—171no—
1216C2×#117—171no—
1217C2×#117—171no—
1218C2×#117—171no—
1219C2×#117C2×D1711yescharacteristic, complemented
1220C2×#117C2×D1711yescharacteristic, complemented
1221C22×C4⋊C4—171no—
1222C22×C4⋊C4—171no—
1223C22×C4⋊C4—171no—
1224C22×C4⋊C4—171no—
1225C22×C4⋊C4—171no—
1226C22×C22⋊C4—171no—
1227C22×C22⋊C4—171no—
1228C22×C22⋊C4—171no—
1229C22×C22⋊C4—171no—
1230C22×C22⋊C4—171no—
1231C22×C22⋊C4—171no—
1232C22×C22⋊C4—171no—
1233C22×C22⋊C4—171no—
1234C22×C22⋊C4C2×D1711yescharacteristic, complemented
1235C22×C22⋊C4C2×D1711yescharacteristic, complemented
1236C22×C42—171no—
1237C2×C17—24no—
1238C2×C17—42no—
1239C2×C17—42no—
1240C2×C17—42no—
1241C2×C17#350514yescomplemented
1242C2×C17C23×#4111yescharacteristic
1243C2×C17C22×H(5,𝔽2)11yescharacteristic
1244C2×C17C2×#58511yescharacteristic
1245D17—24no—
1246D17—24no—
1247D17—42no—
1248D17—42no—
1249D17—42no—
1250C25—171no—
1251C25—171no—
1252C25—171no—
1253C25C22×D1711yescharacteristic
1254C2×#41—178no—
1255C2×#41—178no—
1256C2×#41—684no—
1257C2×#41—684no—
1258C22×Q8—178no—
1259C22×Q8—171no—
1260C22×Q8—171no—
1261C22×Q8—171no—
1262C22×Q8—684no—
1263C22×Q8C22×D1711yescharacteristic
1264C22×D4—171no—
1265C22×D4—171no—
1266C22×D4—171no—
1267C22×D4—171no—
1268C22×D4—171no—
1269C22×D4—171no—
1270C22×D4—171no—
1271C22×D4—171no—
1272C22×D4—178no—
1273C22×D4—171no—
1274C22×D4—171no—
1275C22×D4—171no—
1276C22×D4—171no—
1277C22×D4—171no—
1278C22×D4—171no—
1279C22×D4—178no—
1280C22×D4—178no—
1281C22×D4—171no—
1282C22×D4—171no—
1283C22×D4—171no—
1284C22×D4—171no—
1285C22×D4—171no—
1286C22×D4—178no—
1287C22×D4—171no—
1288C22×D4—171no—
1289C22×D4—348no—
1290C22×D4—348no—
1291C22×D4—348no—
1292C22×D4—684no—
1293C22×D4C22×D1711yescharacteristic
1294C22×D4C22×D1711yescharacteristic
1295C22×D4C22×D1711yescharacteristic
1296C23×C4—171no—
1297C23×C4—171no—
1298C23×C4—171no—
1299C23×C4—171no—
1300C23×C4—171no—
1301C23×C4—171no—
1302C23×C4—171no—
1303C23×C4—171no—
1304C23×C4—171no—
1305C23×C4—171no—
1306C23×C4—171no—
1307C23×C4—171no—
1308C23×C4—171no—
1309C23×C4—171no—
1310C23×C4—171no—
1311C23×C4—171no—
1312C23×C4—171no—
1313C23×C4—171no—
1314C23×C4—171no—
1315C23×C4—171no—
1316C23×C4—171no—
1317C23×C4—171no—
1318C23×C4—178no—
1319C23×C4—178no—
1320C23×C4—684no—
1321C23×C4—684no—
1322C23×C4C22×D1711yescharacteristic
1323C23×C4C22×D1711yescharacteristic
1324C23×C4C22×D1711yescharacteristic
1325C23×C4C22×D1711yescharacteristic
1326C23×C4C22×D1711yescharacteristic
1327#126—178no—
1328#126—178no—
1329#126—178no—
1330#126—178no—
1331#126—178no—
1332#126—178no—
1333#126—178no—
1334#126—178no—
1335#126—178no—
1336#126—178no—
1337#126C22×D1718yescomplemented
1338#126C22×D1718yescomplemented
1339#125—178no—
1340#125—178no—
1341#125—178no—
1342#125—178no—
1343#125—178no—
1344#125—178no—
1345#124—178no—
1346#124—178no—
1347#124—178no—
1348#124—178no—
1349#124—178no—
1350#124C22×D1718yescomplemented
1351#123—178no—
1352#123—178no—
1353#123—178no—
1354#123—178no—
1355#123—178no—
1356#123—178no—
1357#123—178no—
1358#123—178no—
1359#123—178no—
1360#123—178no—
1361#123—178no—
1362#123—178no—
1363#123—178no—
1364#123—178no—
1365#123—178no—
1366#123—178no—
1367#123—178no—
1368#123C22×D1718yes—
1369#123C22×D1718yescomplemented
1370#123C22×D1718yescomplemented
1371C22⋊Q8—178no—
1372C22⋊Q8—178no—
1373C22⋊Q8—178no—
1374C22⋊Q8—178no—
1375C22⋊Q8—178no—
1376C22⋊Q8—178no—
1377C22⋊Q8—178no—
1378C22⋊Q8—178no—
1379C22⋊Q8—178no—
1380C22⋊Q8—178no—
1381C22⋊Q8—178no—
1382C22⋊Q8—178no—
1383C22⋊Q8C22×D1718yescomplemented
1384C22⋊Q8C22×D1718yescomplemented
1385#121—178no—
1386#121—178no—
1387#121—178no—
1388#121—178no—
1389#121—178no—
1390#121—178no—
1391#121—178no—
1392#121—178no—
1393#121—178no—
1394#121—178no—
1395#121—178no—
1396#121—178no—
1397#121—178no—
1398#121—178no—
1399#121—178no—
1400#121—178no—
1401#121—178no—
1402#121—178no—
1403#121—178no—
1404#121—178no—
1405#121—178no—
1406#121—178no—
1407#120—178no—
1408#120—178no—
1409#120—178no—
1410#120—178no—
1411#120—178no—
1412#120—178no—
1413#120—178no—
1414#120C22×D1718yes—
1415C4×Q8—178no—
1416C4×Q8—178no—
1417C4×D4—178no—
1418C4×D4—178no—
1419C4×D4—178no—
1420C4×D4—178no—
1421C4×D4—178no—
1422C4×D4—178no—
1423C4×D4—178no—
1424C4×D4—178no—
1425C4×D4—178no—
1426C4×D4—178no—
1427C4×D4—178no—
1428C4×D4—178no—
1429C4×D4—178no—
1430C4×D4—178no—
1431C4×D4—178no—
1432C4×D4—178no—
1433C4×D4—178no—
1434C4×D4—178no—
1435C4×D4—178no—
1436C4×D4—178no—
1437C4×D4—178no—
1438C4×D4—178no—
1439C4×D4—178no—
1440C4×D4—178no—
1441C4×D4—178no—
1442C4×D4—178no—
1443C4×D4—178no—
1444C4×D4—178no—
1445C4×D4C22×D1718yes—
1446C4×D4C22×D1718yescomplemented
1447#117—178no—
1448#117—178no—
1449#117—178no—
1450#117—178no—
1451#117—178no—
1452#117—178no—
1453#117—178no—
1454#117—178no—
1455#117C22×D1718yescomplemented
1456#117C22×D1718yescomplemented
1457C2×C4⋊C4—171no—
1458C2×C4⋊C4—171no—
1459C2×C4⋊C4—171no—
1460C2×C4⋊C4—171no—
1461C2×C4⋊C4—171no—
1462C2×C4⋊C4—171no—
1463C2×C4⋊C4—171no—
1464C2×C4⋊C4—171no—
1465C2×C4⋊C4—171no—
1466C2×C4⋊C4—171no—
1467C2×C4⋊C4—171no—
1468C2×C4⋊C4—178no—
1469C2×C4⋊C4—171no—
1470C2×C4⋊C4—171no—
1471C2×C4⋊C4—171no—
1472C2×C4⋊C4—171no—
1473C2×C4⋊C4—171no—
1474C2×C4⋊C4—171no—
1475C2×C4⋊C4—171no—
1476C2×C4⋊C4—171no—
1477C2×C4⋊C4—171no—
1478C2×C4⋊C4—171no—
1479C2×C4⋊C4—171no—
1480C2×C4⋊C4—171no—
1481C2×C4⋊C4—171no—
1482C2×C4⋊C4—171no—
1483C2×C4⋊C4—171no—
1484C2×C4⋊C4—171no—
1485C2×C4⋊C4—171no—
1486C2×C4⋊C4—178no—
1487C2×C4⋊C4—178no—
1488C2×C4⋊C4—178no—
1489C2×C4⋊C4—178no—
1490C2×C4⋊C4C22×D1711yescharacteristic
1491C2×C4⋊C4C22×D1711yescharacteristic
1492C2×C4⋊C4C22×D1711yescharacteristic
1493C2×C4⋊C4C22×D1711yescharacteristic
1494C2×C4⋊C4C22×D1711yescharacteristic
1495C2×C4⋊C4C22×D1711yescharacteristic
1496C2×C4⋊C4C22×D1711yescharacteristic
1497C2×C4⋊C4C22×D1711yescharacteristic
1498C2×C22⋊C4—171no—
1499C2×C22⋊C4—171no—
1500C2×C22⋊C4—171no—
1501C2×C22⋊C4—171no—
1502C2×C22⋊C4—171no—
1503C2×C22⋊C4—171no—
1504C2×C22⋊C4—178no—
1505C2×C22⋊C4—171no—
1506C2×C22⋊C4—171no—
1507C2×C22⋊C4—171no—
1508C2×C22⋊C4—171no—
1509C2×C22⋊C4—171no—
1510C2×C22⋊C4—171no—
1511C2×C22⋊C4—171no—
1512C2×C22⋊C4—171no—
1513C2×C22⋊C4—171no—
1514C2×C22⋊C4—171no—
1515C2×C22⋊C4—171no—
1516C2×C22⋊C4—171no—
1517C2×C22⋊C4—171no—
1518C2×C22⋊C4—171no—
1519C2×C22⋊C4—171no—
1520C2×C22⋊C4—171no—
1521C2×C22⋊C4—171no—
1522C2×C22⋊C4—171no—
1523C2×C22⋊C4—171no—
1524C2×C22⋊C4—171no—
1525C2×C22⋊C4—178no—
1526C2×C22⋊C4—171no—
1527C2×C22⋊C4—171no—
1528C2×C22⋊C4—171no—
1529C2×C22⋊C4—171no—
1530C2×C22⋊C4—171no—
1531C2×C22⋊C4—171no—
1532C2×C22⋊C4—171no—
1533C2×C22⋊C4—171no—
1534C2×C22⋊C4—178no—
1535C2×C22⋊C4—178no—
1536C2×C22⋊C4—178no—
1537C2×C22⋊C4—178no—
1538C2×C22⋊C4—178no—
1539C2×C22⋊C4—178no—
1540C2×C22⋊C4C22×D1711yescharacteristic
1541C2×C22⋊C4C22×D1711yescharacteristic
1542C2×C22⋊C4C22×D1711yescharacteristic
1543C2×C22⋊C4C22×D1711yescharacteristic
1544C2×C22⋊C4C22×D1711yescharacteristic
1545C2×C22⋊C4C22×D1711yescharacteristic
1546C2×C22⋊C4C22×D1711yescharacteristic
1547C2×C22⋊C4C22×D1711yescharacteristic
1548C2×C22⋊C4C22×D1711yescharacteristic
1549C2×C22⋊C4C22×D1711yescharacteristic
1550C2×C22⋊C4C22×D1711yescharacteristic
1551C2×C22⋊C4C22×D1711yescharacteristic
1552C2×C22⋊C4C22×D1711yescharacteristic
1553C2×C22⋊C4C22×D1711yescharacteristic
1554C2×C22⋊C4C22×D1718yescomplemented
1555C2×C22⋊C4C22×D1718yescomplemented
1556C2×C42—171no—
1557C2×C42—171no—
1558C2×C42—171no—
1559C2×C42—171no—
1560C2×C42—171no—
1561C2×C42—171no—
1562C2×C42—171no—
1563C2×C42—171no—
1564C2×C42—171no—
1565C2×C42—178no—
1566C2×C42C22×D1711yescharacteristic
1567C2×C42C22×D1711yescharacteristic
1568C2×C42C22×D1711yescharacteristic
1569C17C2×#350511yescharacteristic, complemented, Sylow
1570C24—24no—
1571C24—42no—
1572C24—42no—
1573C24—171no—
1574C24—171no—
1575C24—178no—
1576C24—174no—
1577C24—171no—
1578C24—171no—
1579C24—171no—
1580C24—174no—
1581C24—174no—
1582C24—344no—
1583C24—344no—
1584C24—682no—
1585C24—682no—
1586C24—682no—
1587C24—682no—
1588C24—682no—
1589C24—682no—
1590C24C23×D1711yescharacteristic
1591C24C23×D1711yescharacteristic
1592C24C23×D1711yescharacteristic
1593C24C23×D1711yescharacteristic
1594C24C23×D1714yes—
1595#41—6816no—
1596#41—6816no—
1597C2×Q8—42no—
1598C2×Q8—174no—
1599C2×Q8—174no—
1600C2×Q8—174no—
1601C2×Q8—344no—
1602C2×Q8—344no—
1603C2×Q8—682no—
1604C2×Q8—6816no—
1605C2×Q8C23×D1714yes—
1606C2×D4—24no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—174no—
1610C2×D4—174no—
1611C2×D4—174no—
1612C2×D4—174no—
1613C2×D4—174no—
1614C2×D4—174no—
1615C2×D4—174no—
1616C2×D4—174no—
1617C2×D4—174no—
1618C2×D4—174no—
1619C2×D4—174no—
1620C2×D4—174no—
1621C2×D4—174no—
1622C2×D4—174no—
1623C2×D4—174no—
1624C2×D4—174no—
1625C2×D4—174no—
1626C2×D4—174no—
1627C2×D4—174no—
1628C2×D4—174no—
1629C2×D4—174no—
1630C2×D4—344no—
1631C2×D4—344no—
1632C2×D4—344no—
1633C2×D4—344no—
1634C2×D4—3432no—
1635C2×D4—344no—
1636C2×D4—344no—
1637C2×D4—344no—
1638C2×D4—3432no—
1639C2×D4—344no—
1640C2×D4—344no—
1641C2×D4—344no—
1642C2×D4—344no—
1643C2×D4—344no—
1644C2×D4—3432no—
1645C2×D4—344no—
1646C2×D4—682no—
1647C2×D4—682no—
1648C2×D4—6816no—
1649C2×D4—682no—
1650C2×D4—682no—
1651C2×D4—682no—
1652C2×D4—682no—
1653C2×D4—682no—
1654C2×D4—682no—
1655C2×D4C23×D1714yes—
1656C2×D4C23×D1714yes—
1657C2×D4C23×D1714yes—
1658C22×C4—24no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—171no—
1664C22×C4—174no—
1665C22×C4—174no—
1666C22×C4—174no—
1667C22×C4—171no—
1668C22×C4—171no—
1669C22×C4—171no—
1670C22×C4—171no—
1671C22×C4—171no—
1672C22×C4—171no—
1673C22×C4—171no—
1674C22×C4—171no—
1675C22×C4—171no—
1676C22×C4—171no—
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—344no—
1697C22×C4—344no—
1698C22×C4—344no—
1699C22×C4—344no—
1700C22×C4—344no—
1701C22×C4—344no—
1702C22×C4—344no—
1703C22×C4—682no—
1704C22×C4—682no—
1705C22×C4—682no—
1706C22×C4—682no—
1707C22×C4—682no—
1708C22×C4—682no—
1709C22×C4—682no—
1710C22×C4—682no—
1711C22×C4—682no—
1712C22×C4—682no—
1713C22×C4—682no—
1714C22×C4—682no—
1715C22×C4—682no—
1716C22×C4—6816no—
1717C22×C4—6816no—
1718C22×C4—682no—
1719C22×C4—682no—
1720C22×C4C23×D1714yes—
1721C22×C4C23×D1711yescharacteristic
1722C22×C4C23×D1711yescharacteristic
1723C22×C4C23×D1711yescharacteristic
1724C22×C4C23×D1711yescharacteristic
1725C22×C4C23×D1711yescharacteristic
1726C22×C4C23×D1711yescharacteristic
1727C22×C4C23×D1711yescharacteristic
1728C22×C4C23×D1711yescharacteristic
1729C22×C4C23×D1711yescharacteristic
1730C22×C4C23×D1711yescharacteristic
1731C22×C4C23×D1711yescharacteristic
1732C22×C4C23×D1714yes—
1733C22×C4C23×D1714yes—
1734C22×C4C23×D1714yes—
1735C22×C4C23×D1714yes—
1736C4⋊C4—174no—
1737C4⋊C4—174no—
1738C4⋊C4—174no—
1739C4⋊C4—174no—
1740C4⋊C4—174no—
1741C4⋊C4—174no—
1742C4⋊C4—174no—
1743C4⋊C4—174no—
1744C4⋊C4—174no—
1745C4⋊C4—174no—
1746C4⋊C4—174no—
1747C4⋊C4—174no—
1748C4⋊C4—174no—
1749C4⋊C4—174no—
1750C4⋊C4—174no—
1751C4⋊C4—174no—
1752C4⋊C4—174no—
1753C4⋊C4—174no—
1754C4⋊C4—174no—
1755C4⋊C4—174no—
1756C4⋊C4—174no—
1757C4⋊C4—174no—
1758C4⋊C4—174no—
1759C4⋊C4—174no—
1760C4⋊C4—174no—
1761C4⋊C4—174no—
1762C4⋊C4—174no—
1763C4⋊C4—174no—
1764C4⋊C4C23×D1714yes—
1765C4⋊C4C23×D1714yes—
1766C4⋊C4C23×D1714yes—
1767C4⋊C4C23×D1714yes—
1768C4⋊C4C23×D1714yes—
1769C4⋊C4C23×D1714yes—
1770C4⋊C4C23×D1714yes—
1771C4⋊C4C23×D1714yes—
1772C22⋊C4—174no—
1773C22⋊C4—174no—
1774C22⋊C4—174no—
1775C22⋊C4—174no—
1776C22⋊C4—174no—
1777C22⋊C4—174no—
1778C22⋊C4—174no—
1779C22⋊C4—174no—
1780C22⋊C4—174no—
1781C22⋊C4—174no—
1782C22⋊C4—174no—
1783C22⋊C4—174no—
1784C22⋊C4—174no—
1785C22⋊C4—174no—
1786C22⋊C4—174no—
1787C22⋊C4—174no—
1788C22⋊C4—174no—
1789C22⋊C4—174no—
1790C22⋊C4—174no—
1791C22⋊C4—174no—
1792C22⋊C4—174no—
1793C22⋊C4—174no—
1794C22⋊C4—174no—
1795C22⋊C4—174no—
1796C22⋊C4—174no—
1797C22⋊C4—174no—
1798C22⋊C4—174no—
1799C22⋊C4—174no—
1800C22⋊C4—174no—
1801C22⋊C4—174no—
1802C22⋊C4—174no—
1803C22⋊C4—174no—
1804C22⋊C4—174no—
1805C22⋊C4—174no—
1806C22⋊C4C23×D1714yes—
1807C22⋊C4C23×D1714yes—
1808C22⋊C4C23×D1714yes—
1809C22⋊C4C23×D1714yes—
1810C22⋊C4C23×D1714yes—
1811C22⋊C4C23×D1714yes—
1812C22⋊C4C23×D1714yes—
1813C22⋊C4C23×D1714yes—
1814C22⋊C4C23×D1714yes—
1815C22⋊C4C23×D1714yes—
1816C22⋊C4C23×D1714yes—
1817C22⋊C4C23×D1714yes—
1818C22⋊C4C23×D1714yes—
1819C22⋊C4C23×D1714yes—
1820C42—174no—
1821C42—174no—
1822C42—174no—
1823C42—174no—
1824C42—174no—
1825C42—174no—
1826C42—174no—
1827C42—174no—
1828C42—174no—
1829C42C23×D1714yes—
1830C42C23×D1714yes—
1831C42C23×D1714yes—
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—28no—
1844C23—44no—
1845C23—44no—
1846C23—88no—
1847C23—174no—
1848C23—174no—
1849C23—172no—
1850C23—172no—
1851C23—1716no—
1852C23—172no—
1853C23—172no—
1854C23—172no—
1855C23—348no—
1856C23—342no—
1857C23—342no—
1858C23—342no—
1859C23—342no—
1860C23—342no—
1861C23—342no—
1862C23—342no—
1863C23—342no—
1864C23—342no—
1865C23—342no—
1866C23—342no—
1867C23—342no—
1868C23—342no—
1869C23—348no—
1870C23—684no—
1871C23—684no—
1872C23—6816no—
1873C23—684no—
1874C23—684no—
1875C23—684no—
1876C23—684no—
1877C23—6816no—
1878C23—1368no—
1879C23#41×D1714yes—
1880C23C24×D1712yes—
1881C23C24×D1712yes—
1882C23C24×D1712yes—
1883C23C24×D1712yes—
1884C23C24×D1711yescharacteristic
1885Q8—44no—
1886Q8—348no—
1887Q8—348no—
1888Q8—684no—
1889D4—28no—
1890D4—44no—
1891D4—44no—
1892D4—348no—
1893D4—348no—
1894D4—348no—
1895D4—348no—
1896D4—348no—
1897D4—348no—
1898D4—348no—
1899D4—348no—
1900D4—348no—
1901D4—348no—
1902D4—348no—
1903D4—348no—
1904D4—348no—
1905D4—684no—
1906D4—684no—
1907D4—684no—
1908D4—684no—
1909D4—684no—
1910D4—684no—
1911D4—684no—
1912D4—684no—
1913C2×C4—28no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—44no—
1926C2×C4—44no—
1927C2×C4—44no—
1928C2×C4—44no—
1929C2×C4—174no—
1930C2×C4—172no—
1931C2×C4—172no—
1932C2×C4—172no—
1933C2×C4—172no—
1934C2×C4—172no—
1935C2×C4—172no—
1936C2×C4—172no—
1937C2×C4—172no—
1938C2×C4—172no—
1939C2×C4—172no—
1940C2×C4—172no—
1941C2×C4—348no—
1942C2×C4—348no—
1943C2×C4—348no—
1944C2×C4—348no—
1945C2×C4—348no—
1946C2×C4—348no—
1947C2×C4—348no—
1948C2×C4—342no—
1949C2×C4—342no—
1950C2×C4—342no—
1951C2×C4—342no—
1952C2×C4—342no—
1953C2×C4—342no—
1954C2×C4—342no—
1955C2×C4—342no—
1956C2×C4—342no—
1957C2×C4—342no—
1958C2×C4—684no—
1959C2×C4—684no—
1960C2×C4—684no—
1961C2×C4—684no—
1962C2×C4—684no—
1963C2×C4—684no—
1964C2×C4—684no—
1965C2×C4—684no—
1966C2×C4—684no—
1967C2×C4—684no—
1968C2×C4—684no—
1969C2×C4—684no—
1970C2×C4—684no—
1971C2×C4—684no—
1972C2×C4—684no—
1973C2×C4C24×D1712yes—
1974C2×C4C24×D1712yes—
1975C2×C4C24×D1712yes—
1976C2×C4C24×D1712yes—
1977C2×C4C24×D1712yes—
1978C2×C4C24×D1712yes—
1979C2×C4C24×D1712yes—
1980C2×C4C24×D1712yes—
1981C2×C4C24×D1712yes—
1982C2×C4C24×D1712yes—
1983C2×C4C24×D1712yes—
1984C22—28no—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—44no—
1997C22—44no—
1998C22—44no—
1999C22—88no—
2000C22—174no—
2001C22—174no—
2002C22—348no—
2003C22—348no—
2004C22—342no—
2005C22—342no—
2006C22—342no—
2007C22—342no—
2008C22—342no—
2009C22—342no—
2010C22—342no—
2011C22—342no—
2012C22—342no—
2013C22—342no—
2014C22—342no—
2015C22—342no—
2016C22—342no—
2017C22—6816no—
2018C22—6816no—
2019C22—684no—
2020C22—684no—
2021C22—684no—
2022C22—1368no—
2023C22C2×#41×D1714yes—
2024C22C2×#41×D1712yes—
2025C22H(5,𝔽2)×D1712yes—
2026C22#1176364512yes—
2027C22C25×D1711yescharacteristic
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—22no—
2035C4—22no—
2036C4—22no—
2037C4—22no—
2038C4—22no—
2039C4—174no—
2040C4—342no—
2041C4—342no—
2042C4—342no—
2043C4—342no—
2044C4—342no—
2045C4—342no—
2046C4—342no—
2047C4—342no—
2048C4—342no—
2049C4—342no—
2050C2—24no—
2051C2—42no—
2052C2—42no—
2053C2—42no—
2054C2—344no—
2055C2—344no—
2056C2—682no—
2057C2—682no—
2058C2—682no—
2059C2#1454261514yesdirect product factor
2060C2C22×#41×D1711yescharacteristic
2061C2C2×H(5,𝔽2)×D1711yescharacteristic
2062C2C2×#1176364511yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#551C2
socleC23×C17C25
hypercenterC2×#551D17
hypocenterC17C2×#3505
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #14542615C2direct (N × H)
2. C2×#11763510C2semidirect
3. C2×#11763510C2semidirect
4. C2×#11763509C2semidirect
5. C2×#11763504C2semidirect
6. C2×#11763504C2semidirect
7. C2×#11763503C2semidirect
8. C2×#11763496C2semidirect
9. C2×#11763492C2semidirect
10. C2×#11763488C2semidirect
11. C2×#11763486C2semidirect
12. C2×#11763485C2semidirect
13. C2×#11763469C2semidirect
14. C2×#11763467C2semidirect
15. C2×#11763449C2semidirect
16. C2×#11763446C2semidirect
17. C2×#11763405C2semidirect
18. C2×#11763400C2semidirect
19. C2×#11763395C2semidirect
20. C2×#11763393C2semidirect
21. C2×#11763370C2semidirect
22. C2×#11763369C2semidirect
23. C2×#11763342C2semidirect
24. C2×#11763337C2semidirect
25. C2×#11763318C2semidirect
26. C2×#11763317C2semidirect
27. C2×C22⋊Q8×D17C2semidirect
28. C22×#10587570C2semidirect
29. C2×#11763283C2semidirect
30. C2×#11763282C2semidirect
31. C2×C4×D4×D17C2semidirect
32. C2×C17×#551C2semidirect
33. C22×#63252C22semidirect
34. C22×#63254C22semidirect
35. C22×Q8×D17C22semidirect
38. C23×C22⋊D17C22semidirect
41. C23×C4×D17C22semidirect
42. #11763510C22semidirect
43. #11763510C22semidirect
44. #11763509C22semidirect
45. #11763504C22semidirect
46. #11763504C22semidirect
47. #11763503C22semidirect
48. #11763496C22semidirect
49. #11763492C22semidirect
50. #11763488C22semidirect
51. #11763486C22semidirect
52. #11763485C22semidirect
53. #11763469C22semidirect
54. #11763467C22semidirect
55. #11763449C22semidirect
56. #11763446C22semidirect
57. #11763405C22semidirect
58. #11763400C22semidirect
59. #11763395C22semidirect
60. #11763393C22semidirect
61. #11763370C22semidirect
62. #11763369C22semidirect
63. #11763342C22semidirect
64. #11763337C22semidirect
65. C2×#10587584C22semidirect
66. C2×#10587584C22semidirect
67. C2×#10587584C22semidirect
68. C2×#10587584C22semidirect
69. C2×#10587562C22semidirect
70. C2×#10587562C22semidirect
71. C2×#10587565C22semidirect
72. C2×#10587565C22semidirect
73. C2×#10587565C22semidirect
74. C2×#10587565C22semidirect
75. C2×#10587556C22semidirect
76. C2×#10587576C22semidirect
77. C2×#10587575C22semidirect
78. C2×#10587575C22semidirect
79. C2×#10587575C22semidirect
80. C2×#10587575C22semidirect
81. C2×#10587633C22semidirect
82. C2×#10587571C22semidirect
83. C2×#10587571C22semidirect
84. C2×#10587571C22semidirect
85. C2×#10587571C22semidirect
86. #11763318C22semidirect
87. #11763317C22semidirect
88. C2×#10587580C22semidirect
89. C2×#10587580C22semidirect
90. C2×#10587580C22semidirect
91. C2×#10587580C22semidirect
93. C2×#10587572C22semidirect
94. C2×#10587572C22semidirect
96. C2×#10587615C22semidirect
97. C2×#10587615C22semidirect
98. C2×#10587569C22semidirect
99. C2×#10587569C22semidirect
100. C2×#10587569C22semidirect
101. C2×#10587569C22semidirect
102. C2×#10587569C22semidirect
103. C2×#10587569C22semidirect
105. C2×#10587583C22semidirect
106. C2×#10587610C22semidirect
107. C2×#10587582C22semidirect
108. C2×#10587582C22semidirect
109. C2×#10587582C22semidirect
110. C2×#10587582C22semidirect
111. C2×#10587564C22semidirect
112. C2×#10587564C22semidirect
113. C2×#10587564C22semidirect
114. C2×#10587564C22semidirect
115. C2×#10587632C22semidirect
116. C2×#10587632C22semidirect
117. C22⋊Q8×D17C22semidirect
118. C2×#10587581C22semidirect
119. C2×#10587581C22semidirect
120. C2×#10587616C22semidirect
125. C2×#10587570C22semidirect
126. C2×#10587570C22semidirect
127. C2×#10587570C22semidirect
128. C2×#10587570C22semidirect
129. C2×#10587570C22semidirect
130. C2×#10587570C22semidirect
131. C2×#10587570C22semidirect
132. C2×#10587570C22semidirect
133. C2×#10587570C22semidirect
134. C2×#10587570C22semidirect
135. C2×#10587570C22semidirect
136. C2×#10587625C22semidirect
137. C2×#10587625C22semidirect
138. C2×#10587624C22semidirect
139. C2×#10587624C22semidirect
140. C2×#10587624C22semidirect
142. C2×#10587568C22semidirect
143. C2×#10587568C22semidirect
146. C2×#10587623C22semidirect
147. C2×#10587623C22semidirect
148. #11763283C22semidirect
149. #11763282C22semidirect
150. C2×C4×Dic34C22semidirect
151. C2×#10587573C22semidirect
152. C2×C4×D68C22semidirect
153. C2×C4×D68C22semidirect
154. C2×C4×D68C22semidirect
155. C2×C4×D68C22semidirect
156. C2×C4×D68C22semidirect
158. C2×#10587579C22semidirect
159. C2×#10587579C22semidirect
160. C2×#10587579C22semidirect
161. C2×#10587579C22semidirect
162. C2×#10587579C22semidirect
163. C2×#10587579C22semidirect
165. C2×C4×C22⋊D17C22semidirect
166. C2×C4×C22⋊D17C22semidirect
167. C2×C4×C22⋊D17C22semidirect
168. C2×C4×C22⋊D17C22semidirect
169. C2×C4×C22⋊D17C22semidirect
170. C2×C4×C22⋊D17C22semidirect
171. C2×C4×C22⋊D17C22semidirect
173. C2×#10587567C22semidirect
174. C2×#10587567C22semidirect
175. C2×#10587567C22semidirect
176. C2×#10587567C22semidirect
177. C2×#10587567C22semidirect
178. C2×#10587567C22semidirect
179. C2×#10587567C22semidirect
180. C4×D4×D17C22semidirect
181. C2×#10587612C22semidirect
182. C2×#10587578C22semidirect
183. C2×#10587558C22semidirect
184. C2×#10587558C22semidirect
185. C2×#10587563C22semidirect
186. C2×#10587563C22semidirect
187. C2×#10587563C22semidirect
188. C2×#10587563C22semidirect
189. C22×#63225C22semidirect
190. C2×C4⋊C4×D17C22semidirect
191. C2×C4⋊C4×D17C22semidirect
192. C2×C4⋊C4×D17C22semidirect
193. C2×C4⋊C4×D17C22semidirect
194. C22×C22⋊Dic17C22semidirect
195. C22×#63227C22semidirect
199. C2×C22⋊C4×D17C22semidirect
200. C2×C22⋊C4×D17C22semidirect
201. C2×C22⋊C4×D17C22semidirect
202. C2×C42×D17C22semidirect
203. C17×#551C22semidirect
204. C2×C17×#126C22semidirect
205. C2×C17×#126C22semidirect
206. C2×C17×#124C22semidirect
208. C2×C17×#123C22semidirect
209. C2×C17×#123C22semidirect
210. C2×C17×C22⋊Q8C22semidirect
211. C2×C17×C22⋊Q8C22semidirect
214. C2×C4×D4×C17C22semidirect
215. C2×C17×#117C22semidirect
216. C2×C17×#117C22semidirect
217. C22×C22⋊C4×C17C22semidirect
218. C22×C22⋊C4×C17C22semidirect
249. C22×C22⋊D17C23semidirect
256. C2×Q8×D17C23semidirect
258. C2×#63254C23semidirect
262. C2×#63252C23semidirect
292. C22×C4×D17C23semidirect
296. C17×#126C23semidirect
297. C17×#126C23semidirect
298. C17×#124C23semidirect
300. C17×#123C23semidirect
301. C17×#123C23semidirect
302. C17×C22⋊Q8C23semidirect
303. C17×C22⋊Q8C23semidirect
306. C4×D4×C17C23semidirect
307. C17×#117C23semidirect
308. C17×#117C23semidirect
331. C2×C22⋊C4×C17C23semidirect
332. C2×C22⋊C4×C17C23semidirect
347. C2×C22⋊Dic17C23semidirect
348. #10587633C23semidirect
349. #10587632C23semidirect
350. #10587632C23semidirect
351. #10587625C23semidirect
352. #10587625C23semidirect
353. #10587624C23semidirect
354. #10587624C23semidirect
355. #10587624C23semidirect
357. #10587623C23semidirect
358. #10587623C23semidirect
361. #10587616C23semidirect
363. #10587615C23semidirect
364. #10587615C23semidirect
366. C4×C22⋊D17C23semidirect
367. C4×C22⋊D17C23semidirect
368. C4×C22⋊D17C23semidirect
369. C4×C22⋊D17C23semidirect
370. C4×C22⋊D17C23semidirect
371. C4×C22⋊D17C23semidirect
372. C4×C22⋊D17C23semidirect
397. C2×#63227C23semidirect
398. #10587612C23semidirect
407. #10587610C23semidirect
428. C2×#63225C23semidirect
438. #10587584C23semidirect
439. #10587584C23semidirect
440. #10587584C23semidirect
441. #10587584C23semidirect
442. #10587583C23semidirect
443. #10587582C23semidirect
444. #10587582C23semidirect
445. #10587582C23semidirect
446. #10587582C23semidirect
447. #10587581C23semidirect
448. #10587581C23semidirect
449. #10587580C23semidirect
450. #10587580C23semidirect
451. #10587580C23semidirect
452. #10587580C23semidirect
453. #10587579C23semidirect
454. #10587579C23semidirect
455. #10587579C23semidirect
456. #10587579C23semidirect
457. #10587579C23semidirect
458. #10587579C23semidirect
459. #10587578C23semidirect
460. C4⋊C4×D17C23semidirect
461. C4⋊C4×D17C23semidirect
462. C4⋊C4×D17C23semidirect
463. C4⋊C4×D17C23semidirect
464. #10587576C23semidirect
465. #10587575C23semidirect
466. #10587575C23semidirect
467. #10587575C23semidirect
468. #10587575C23semidirect
469. #10587573C23semidirect
471. #10587572C23semidirect
472. #10587572C23semidirect
473. #10587571C23semidirect
474. #10587571C23semidirect
475. #10587571C23semidirect
476. #10587571C23semidirect
481. #10587570C23semidirect
482. #10587570C23semidirect
483. #10587570C23semidirect
484. #10587570C23semidirect
485. #10587570C23semidirect
486. #10587570C23semidirect
487. #10587570C23semidirect
488. #10587570C23semidirect
489. #10587570C23semidirect
490. #10587570C23semidirect
491. #10587569C23semidirect
492. #10587569C23semidirect
493. #10587569C23semidirect
494. #10587569C23semidirect
495. #10587569C23semidirect
496. #10587569C23semidirect
498. #10587568C23semidirect
499. #10587568C23semidirect
501. #10587567C23semidirect
502. #10587567C23semidirect
503. #10587567C23semidirect
504. #10587567C23semidirect
505. #10587567C23semidirect
506. #10587567C23semidirect
507. #10587567C23semidirect
511. C22⋊C4×D17C23semidirect
512. C22⋊C4×D17C23semidirect
513. C22⋊C4×D17C23semidirect
514. #10587565C23semidirect
515. #10587565C23semidirect
516. #10587565C23semidirect
517. #10587565C23semidirect
518. #10587564C23semidirect
519. #10587564C23semidirect
520. #10587564C23semidirect
521. #10587564C23semidirect
522. #10587563C23semidirect
523. #10587563C23semidirect
524. #10587563C23semidirect
525. #10587563C23semidirect
526. #10587562C23semidirect
527. #10587562C23semidirect
528. C4×D68C23semidirect
529. C4×D68C23semidirect
530. C4×D68C23semidirect
531. C4×D68C23semidirect
532. C4×D68C23semidirect
533. #10587558C23semidirect
534. #10587558C23semidirect
535. C42×D17C23semidirect
536. #10587556C23semidirect
537. C4×Dic34C23semidirect
554. C23×D17#41semidirect
848. C22×D17C2×#41semidirect
965. C2×#551D17semidirect
1071. #551C2×D17semidirect
1094. C2×#126C2×D17semidirect
1095. C2×#126C2×D17semidirect
1107. C2×#124C2×D17semidirect
1128. C2×#123C2×D17semidirect
1129. C2×#123C2×D17semidirect
1143. C2×C22⋊Q8C2×D17semidirect
1144. C2×C22⋊Q8C2×D17semidirect
1210. C2×C4×D4C2×D17semidirect
1219. C2×#117C2×D17semidirect
1220. C2×#117C2×D17semidirect
1234. C22×C22⋊C4C2×D17semidirect
1235. C22×C22⋊C4C2×D17semidirect
1241. C2×C17#3505semidirect
1337. #126C22×D17semidirect
1338. #126C22×D17semidirect
1350. #124C22×D17semidirect
1369. #123C22×D17semidirect
1370. #123C22×D17semidirect
1383. C22⋊Q8C22×D17semidirect
1384. C22⋊Q8C22×D17semidirect
1446. C4×D4C22×D17semidirect
1455. #117C22×D17semidirect
1456. #117C22×D17semidirect
1554. C2×C22⋊C4C22×D17semidirect
1555. C2×C22⋊C4C22×D17semidirect
1569. C17C2×#3505semidirect
2059. C2#14542615direct (N × H)

Maximal subgroups

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

subgroupindex
#145426152
C2×#117635102
C2×#117635092
C2×#117635042
C2×#117635032
C2×#117634962
C2×#117634922
C2×#117634882
C2×#117634862
C2×#117634852
C2×#117634692
C2×#117634672
C2×#117634492
C2×#117634462
C2×#117634052
C2×#117634002
C2×#117633952
C2×#117633932
C2×#117633702
C2×#117633692
C2×#117633422
C2×#117633372
C2×#117633182
C2×#117633172
C2×C22⋊Q8×D172
C22×#105875702
C2×#117632832
C2×#117632822
C2×C4×D4×D172
C2×C17×#5512
C2×#350517