Finite Group Databasebeta

← C2×#14542715 #17942292

Subgroups — C2×#14542715 #17942292

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#14542715C2132yesmaximal, direct product factor
2C2×#11763543C211yesmaximal, characteristic, complemented
3C2×#11763514C211yesmaximal, characteristic, complemented
4C2×#11763510C211yesmaximal, characteristic, complemented
5C2×#11763508C211yesmaximal, characteristic, complemented
6C2×#11763491C211yesmaximal, characteristic, complemented
7C2×#11763488C211yesmaximal, characteristic, complemented
8C2×#11763488C211yesmaximal, characteristic, complemented
9C2×#11763484C211yesmaximal, characteristic, complemented
10C2×#11763483C211yesmaximal, characteristic, complemented
11C2×#11763457C211yesmaximal, characteristic, complemented
12C2×#11763455C211yesmaximal, characteristic, complemented
13C2×#11763448C211yesmaximal, characteristic, complemented
14C2×#11763448C211yesmaximal, characteristic, complemented
15C2×#11763448C211yesmaximal, characteristic, complemented
16C2×#11763443C211yesmaximal, characteristic, complemented
17C2×#11763425C211yesmaximal, characteristic, complemented
18C2×#11763409C211yesmaximal, characteristic, complemented
19C2×#11763407C211yesmaximal, characteristic, complemented
20C2×#11763404C211yesmaximal, characteristic, complemented
21C2×#11763396C211yesmaximal, characteristic, complemented
22C2×#11763395C211yesmaximal, characteristic, complemented
23C2×#11763342C211yesmaximal, characteristic, complemented
24C2×#11763337C211yesmaximal, characteristic, complemented
25C2×#11763319C211yesmaximal, characteristic, complemented
26C2×#11763318C211yesmaximal, characteristic, complemented
27C22×#10587580C211yesmaximal, characteristic, complemented
28C2×#123×D17C211yesmaximal, characteristic, complemented
29C2×#11763288C211yesmaximal, characteristic, complemented
30C2×#11763281C211yesmaximal, characteristic, complemented
31C2×C4×D4×D17C211yesmaximal, characteristic, complemented
32C2×C17×#553C211yesmaximal, characteristic, complemented
33C22×#63252C2211yescharacteristic, complemented
34C22×#63254C2211yescharacteristic
35C22×#63254C2211yescharacteristic, complemented
36C23×D68C2211yescharacteristic
37C22×D4×D17C2211yescharacteristic
38C22×D4×D17C2211yescharacteristic
39C22×D4×D17C2211yescharacteristic
40C23×C4×D17C2211yescharacteristic, complemented
41C23×C4×D17C2211yescharacteristic, complemented
42#11763543C22116yescomplemented
43#11763514C22116yescomplemented
44#11763510C22116yescomplemented
45#11763508C22116yescomplemented
46#11763491C22116yescomplemented
47#11763488C22116yescomplemented
48#11763488C22116yescomplemented
49#11763484C22116yescomplemented
50#11763483C22116yescomplemented
51#11763457C22116yescomplemented
52#11763455C22116yescomplemented
53#11763448C22116yescomplemented
54#11763448C22116yescomplemented
55#11763448C22116yescomplemented
56#11763443C22116yescomplemented
57#11763425C22116yescomplemented
58#11763409C22116yescomplemented
59#11763407C22116yescomplemented
60#11763404C22116yescomplemented
61#11763396C22116yescomplemented
62#11763395C22116yescomplemented
63C2×#10587574C2211yescharacteristic, complemented
64C2×#10587626C2211yescharacteristic
65#11763342C22116yescomplemented
66#11763337C22116yescomplemented
67C2×#10587584C2211yescharacteristic, complemented
68C2×#10587584C2211yescharacteristic, complemented
69C2×#10587584C2211yescharacteristic, complemented
70C2×#10587584C2211yescharacteristic, complemented
71C2×#10587562C2211yescharacteristic, complemented
72C2×#10587562C2211yescharacteristic, complemented
73C2×#10587565C2211yescharacteristic, complemented
74C2×#10587565C2211yescharacteristic, complemented
75C2×#10587575C2211yescharacteristic, complemented
76C2×#10587575C2211yescharacteristic, complemented
77C2×#10587575C2211yescharacteristic, complemented
78C2×#10587575C2211yescharacteristic, complemented
79C2×#10587561C2211yescharacteristic, complemented
80C2×#10587571C2211yescharacteristic, complemented
81C2×#10587571C2211yescharacteristic, complemented
82C2×#10587571C2211yescharacteristic, complemented
83C2×#10587571C2211yescharacteristic, complemented
84C2×#10587571C2211yescharacteristic, complemented
85C2×#10587571C2211yescharacteristic, complemented
86#11763319C22116yescomplemented
87#11763318C22116yescomplemented
88C2×#10587580C2211yescharacteristic
89C2×#10587580C2211yescharacteristic
90C2×#10587580C2211yescharacteristic
91C2×#10587580C2211yescharacteristic, complemented
92C2×#10587580C2211yescharacteristic, complemented
93C2×#10587580C2211yescharacteristic, complemented
94C2×#10587580C2211yescharacteristic, complemented
95C2×#10587580C2211yescharacteristic, complemented
96C2×#10587580C2211yescharacteristic, complemented
97C2×#10587580C2211yescharacteristic, complemented
98C2×#10587580C2211yescharacteristic, complemented
99C2×#10587580C2211yescharacteristic, complemented
100C2×#10587580C22116yescomplemented
101C2×#10587572C2211yescharacteristic, complemented
102C2×#10587572C2211yescharacteristic, complemented
103C2×#10587615C2211yescharacteristic, complemented
104C2×#10587615C2211yescharacteristic, complemented
105C2×#10587569C2211yescharacteristic, complemented
106C2×#10587569C2211yescharacteristic, complemented
107C2×#10587569C2211yescharacteristic, complemented
108C2×#10587569C2211yescharacteristic, complemented
109C2×#10587621C2211yescharacteristic, complemented
110C2×#10587621C2211yescharacteristic, complemented
111C2×#10587621C2211yescharacteristic, complemented
112C2×#10587621C2211yescharacteristic, complemented
113#123×D17C22116yescomplemented
114C2×#10587583C2211yescharacteristic, complemented
115C2×#10587583C2211yescharacteristic, complemented
116C2×#10587610C2211yescharacteristic, complemented
117C2×#10587610C2211yescharacteristic, complemented
118C2×#10587610C2211yescharacteristic, complemented
119C2×#10587582C2211yescharacteristic, complemented
120C2×#10587582C2211yescharacteristic, complemented
121C2×#10587582C2211yescharacteristic, complemented
122C2×#10587582C2211yescharacteristic, complemented
123C2×#10587582C2211yescharacteristic, complemented
124C2×#10587582C2211yescharacteristic, complemented
125C2×#10587564C2211yescharacteristic, complemented
126C2×#10587564C2211yescharacteristic, complemented
127C2×#10587581C2211yescharacteristic
128C2×#10587616C2211yescharacteristic, complemented
129C2×#10587570C2211yescharacteristic
130C2×#10587570C2211yescharacteristic
131C2×#10587570C2211yescharacteristic
132C2×#10587570C2211yescharacteristic, complemented
133C2×#10587570C2211yescharacteristic, complemented
134C2×#10587570C2211yescharacteristic, complemented
135C2×#10587625C2211yescharacteristic, complemented
136C2×#10587625C2211yescharacteristic, complemented
137C2×#10587625C2211yescharacteristic, complemented
138C2×#10587625C2211yescharacteristic, complemented
139C2×#10587624C2211yescharacteristic, complemented
140C2×#10587568C2211yescharacteristic
141C2×#10587568C2211yescharacteristic
142C2×#10587623C2211yescharacteristic
143C2×#10587623C2211yescharacteristic
144C2×#10587623C2211yescharacteristic, complemented
145C2×#10587623C2211yescharacteristic, complemented
146C2×#10587623C2211yescharacteristic, complemented
147C2×#10587623C2211yescharacteristic, complemented
148#11763288C22116yescomplemented
149#11763281C22116yescomplemented
150C2×C4×Dic34C2211yescharacteristic, complemented
151C2×#10587573C2211yescharacteristic, complemented
152C2×#10587573C2211yescharacteristic, complemented
153C2×C4×D68C2211yescharacteristic, complemented
154C2×C4×D68C2211yescharacteristic, complemented
155C2×C4×D68C2211yescharacteristic, complemented
156C2×D4×Dic17C2211yescharacteristic, complemented
157C2×D4×Dic17C2211yescharacteristic, complemented
158C2×D4×Dic17C2211yescharacteristic, complemented
159C2×#10587579C2211yescharacteristic
160C2×#10587579C2211yescharacteristic, complemented
161C2×#10587579C2211yescharacteristic, complemented
162C2×C4×C22⋊D17C2211yescharacteristic
163C2×C4×C22⋊D17C2211yescharacteristic
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×#10587567C2211yescharacteristic
171C2×#10587567C2211yescharacteristic, complemented
172C2×#10587567C2211yescharacteristic, complemented
173C2×#10587567C2211yescharacteristic, complemented
174C2×#10587567C2211yescharacteristic, complemented
175C2×#10587567C2211yescharacteristic, complemented
176C2×#10587567C2211yescharacteristic, complemented
177C2×#10587567C2211yescharacteristic, complemented
178C4×D4×D17C22116yescomplemented
179C2×#10587578C2211yescharacteristic, complemented
180C2×#10587578C2211yescharacteristic, complemented
181C2×#10587558C2211yescharacteristic, complemented
182C2×#10587558C2211yescharacteristic, complemented
183C2×#10587558C2211yescharacteristic, complemented
184C2×#10587558C2211yescharacteristic, complemented
185C2×#10587563C2211yescharacteristic, complemented
186C2×#10587563C2211yescharacteristic, complemented
187C22×#63225C2211yescharacteristic, complemented
188C22×#63225C2211yescharacteristic, complemented
189C2×C4⋊C4×D17C2211yescharacteristic, complemented
190C2×C4⋊C4×D17C2211yescharacteristic, complemented
191C2×C4⋊C4×D17C2211yescharacteristic, complemented
192C22×#63227C2211yescharacteristic, complemented
193C22×#63227C2211yescharacteristic, complemented
194C22×#63227C2211yescharacteristic, complemented
195C22×#63227C2211yescharacteristic, complemented
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×C22⋊C4×D17C2211yescharacteristic, complemented
202C2×C42×D17C2211yescharacteristic, complemented
203C17×#553C22116yescomplemented
204C2×C17×#126C2211yescharacteristic, complemented
205C2×C17×#126C2211yescharacteristic, complemented
206C2×C17×#125C2211yescharacteristic, complemented
207C2×C17×#123C2211yescharacteristic, complemented
208C2×C17×#123C2211yescharacteristic, complemented
209C2×C17×#121C2211yescharacteristic
210C2×C17×#121C2211yescharacteristic, complemented
211C2×C17×#121C2211yescharacteristic, complemented
212C2×C17×#121C2211yescharacteristic, complemented
213C2×C4×D4×C17C2211yescharacteristic, complemented
214C2×C4×D4×C17C2211yescharacteristic, complemented
215C2×C4×D4×C17C2211yescharacteristic, complemented
216C2×C4×D4×C17C2211yescharacteristic, complemented
217C2×C17×#117C2211yescharacteristic, complemented
218C22×C4⋊C4×C17C2211yescharacteristic, complemented
219C24×D17C2311yescharacteristic
220C24×D17C2311yescharacteristic
221C24×D17C2311yescharacteristic
222C24×D17C2311yescharacteristic
223C22×D4×C17C2311yescharacteristic
224C22×D4×C17C2311yescharacteristic
225C22×D4×C17C2311yescharacteristic
226C22×D4×C17C2311yescharacteristic
227C22×D4×C17C2311yescharacteristic
228C22×D4×C17C2311yescharacteristic
229C23×C4×C17C2311yescharacteristic
230C23×C4×C17C2311yescharacteristic
231C23×C4×C17C2311yescharacteristic
232C23×C4×C17C2311yescharacteristic
233C23×C4×C17C2311yescharacteristic
234C23×C4×C17C2311yescharacteristic
235C22×C22⋊D17C2311yescharacteristic
236C22×C22⋊D17C2311yescharacteristic
237C22×C22⋊D17C2311yescharacteristic
238C22×C22⋊D17C2311yescharacteristic
239C22×C22⋊D17C2311yescharacteristic
240C22×C22⋊D17C2311yescharacteristic
241C22×C22⋊D17C2311yescharacteristic
242C22×C22⋊D17C2311yescharacteristic
243C22×C22⋊D17C2311yescharacteristic
244C22×C22⋊D17C2311yescharacteristic
245C22×C22⋊D17C2311yescharacteristic
246C22×C22⋊D17C2311yescharacteristic
247C23×Dic17C2311yescharacteristic
248C23×Dic17C2311yescharacteristic
249C23×Dic17C2311yescharacteristic
250C23×Dic17C2311yescharacteristic
251C23×Dic17C2311yescharacteristic
252C23×Dic17C2311yescharacteristic
253C2×#63254—28no—
254C2×#63254—44no—
255C2×#63254C2318yes—
256C2×#63254C2318yescomplemented
257C2×D4×D17—28no—
258C2×D4×D17—28no—
259C2×D4×D17—44no—
260C2×D4×D17C2318yes—
261C2×D4×D17C2318yes—
262C2×D4×D17C2318yes—
263C2×#63252—44no—
264C2×#63252C2318yescomplemented
265C22×D68—44no—
266C22×D68C2311yescharacteristic
267C22×D68C2311yescharacteristic
268C22×D68C2311yescharacteristic
269C22×D68C2311yescharacteristic
270C22×D68C2311yescharacteristic
271C22×D68C2311yescharacteristic
272C22×D68C2318yes—
273C22×C4×D17—44no—
274C22×C4×D17—44no—
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×D17C2318yescomplemented
291C22×C4×D17C2318yescomplemented
292C22×Dic34C2311yescharacteristic
293C22×Dic34C2311yescharacteristic
294C22×Dic34C2311yescharacteristic
295C22×Dic34C2311yescharacteristic
296C17×#126C2318yescomplemented
297C17×#126C2318yescomplemented
298C17×#125C2318yescomplemented
299C17×#123C2318yescomplemented
300C17×#123C2318yescomplemented
301C17×#121C2318yes—
302C17×#121C2318yescomplemented
303C17×#121C2318yescomplemented
304C17×#121C2318yescomplemented
305C4×D4×C17C2318yescomplemented
306C4×D4×C17C2318yescomplemented
307C4×D4×C17C2318yescomplemented
308C4×D4×C17C2318yescomplemented
309C17×#117C2318yescomplemented
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×C4⋊C4×C17C2311yescharacteristic
318C2×C4⋊C4×C17C2311yescharacteristic
319C2×C4⋊C4×C17C2311yescharacteristic
320C2×C4⋊C4×C17C2318yescomplemented
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×C42×C17C2311yescharacteristic
332C2×C42×C17C2311yescharacteristic
333C2×C42×C17C2311yescharacteristic
334C2×C22⋊Dic17C2311yescharacteristic
335C2×C22⋊Dic17C2311yescharacteristic
336C2×C22⋊Dic17C2311yescharacteristic
337C2×C22⋊Dic17C2311yescharacteristic
338C2×C22⋊Dic17C2311yescharacteristic
339C2×C22⋊Dic17C2311yescharacteristic
340C2×C22⋊Dic17C2311yescharacteristic
341C2×C22⋊Dic17C2311yescharacteristic
342C2×C22⋊Dic17C2311yescharacteristic
343C2×C22⋊Dic17C2311yescharacteristic
344#10587626C2318yes—
345#10587625C2318yescomplemented
346#10587625C2318yescomplemented
347#10587625C2318yescomplemented
348#10587625C2318yescomplemented
349#10587624C2318yescomplemented
350#10587623C2318yes—
351#10587623C2318yes—
352#10587623C2318yescomplemented
353#10587623C2318yescomplemented
354#10587623C2318yescomplemented
355#10587623C2318yescomplemented
356#10587621C2318yescomplemented
357#10587621C2318yescomplemented
358#10587621C2318yescomplemented
359#10587621C2318yescomplemented
360D4×Dic17C2318yescomplemented
361D4×Dic17C2318yescomplemented
362D4×Dic17C2318yescomplemented
363#10587616C2318yescomplemented
364#10587615C2318yescomplemented
365#10587615C2318yescomplemented
366C4×C22⋊D17C2318yes—
367C4×C22⋊D17C2318yes—
368C4×C22⋊D17C2318yes—
369C4×C22⋊D17C2318yescomplemented
370C4×C22⋊D17C2318yescomplemented
371C4×C22⋊D17C2318yescomplemented
372C4×C22⋊D17C2318yescomplemented
373C4×C22⋊D17C2318yescomplemented
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×#63227C2311yescharacteristic
398C2×#63227C2311yescharacteristic
399C2×#63227C2311yescharacteristic
400C2×#63227C2311yescharacteristic
401C2×#63227C2311yescharacteristic
402C2×#63227C2318yescomplemented
403C2×#63227C2318yescomplemented
404C2×#63227C2318yescomplemented
405C2×#63227C2318yescomplemented
406C2×C4⋊Dic17C2311yescharacteristic
407C2×C4⋊Dic17C2311yescharacteristic
408C2×C4⋊Dic17C2311yescharacteristic
409C2×C4⋊Dic17C2311yescharacteristic
410C2×C4⋊Dic17C2311yescharacteristic
411C2×C4⋊Dic17C2311yescharacteristic
412#10587610C2318yescomplemented
413#10587610C2318yescomplemented
414#10587610C2318yescomplemented
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×#63225C2311yescharacteristic
429C2×#63225C2311yescharacteristic
430C2×#63225C2311yescharacteristic
431C2×#63225C2311yescharacteristic
432C2×#63225C2311yescharacteristic
433C2×#63225C2311yescharacteristic
434C2×#63225C2311yescharacteristic
435C2×#63225C2318yescomplemented
436C2×#63225C2318yescomplemented
437C2×C4×Dic17C2311yescharacteristic
438C2×C4×Dic17C2311yescharacteristic
439C2×C4×Dic17C2311yescharacteristic
440C2×C4×Dic17C2311yescharacteristic
441C2×C4×Dic17C2311yescharacteristic
442C2×C4×Dic17C2311yescharacteristic
443C2×C4×Dic17C2311yescharacteristic
444C2×C4×Dic17C2311yescharacteristic
445C2×C4×Dic17C2311yescharacteristic
446#10587584C2318yescomplemented
447#10587584C2318yescomplemented
448#10587584C2318yescomplemented
449#10587584C2318yescomplemented
450#10587583C2318yescomplemented
451#10587583C2318yescomplemented
452#10587582C2318yescomplemented
453#10587582C2318yescomplemented
454#10587582C2318yescomplemented
455#10587582C2318yescomplemented
456#10587582C2318yescomplemented
457#10587582C2318yescomplemented
458#10587581C2318yes—
459#10587580C2318yes—
460#10587580C2318yes—
461#10587580C2318yes—
462#10587580C2318yescomplemented
463#10587580C2318yescomplemented
464#10587580C2318yescomplemented
465#10587580C2318yescomplemented
466#10587580C2318yescomplemented
467#10587580C2318yescomplemented
468#10587580C2318yescomplemented
469#10587580C2318yescomplemented
470#10587580C2318yescomplemented
471#10587579C2318yes—
472#10587579C2318yescomplemented
473#10587579C2318yescomplemented
474#10587578C2318yescomplemented
475#10587578C2318yescomplemented
476C4⋊C4×D17C2318yescomplemented
477C4⋊C4×D17C2318yescomplemented
478C4⋊C4×D17C2318yescomplemented
479#10587575C2318yescomplemented
480#10587575C2318yescomplemented
481#10587575C2318yescomplemented
482#10587575C2318yescomplemented
483#10587574C2318yescomplemented
484#10587573C2318yescomplemented
485#10587573C2318yescomplemented
486#10587572C2318yescomplemented
487#10587572C2318yescomplemented
488#10587571C2318yescomplemented
489#10587571C2318yescomplemented
490#10587571C2318yescomplemented
491#10587571C2318yescomplemented
492#10587571C2318yescomplemented
493#10587571C2318yescomplemented
494#10587570C2318yes—
495#10587570C2318yes—
496#10587570C2318yes—
497#10587570C2318yescomplemented
498#10587570C2318yescomplemented
499#10587570C2318yescomplemented
500#10587569C2318yescomplemented
501#10587569C2318yescomplemented
502#10587569C2318yescomplemented
503#10587569C2318yescomplemented
504#10587568C2318yes—
505#10587568C2318yes—
506#10587567C2318yes—
507#10587567C2318yescomplemented
508#10587567C2318yescomplemented
509#10587567C2318yescomplemented
510#10587567C2318yescomplemented
511#10587567C2318yescomplemented
512#10587567C2318yescomplemented
513#10587567C2318yescomplemented
514C22⋊C4×D17C2318yescomplemented
515C22⋊C4×D17C2318yescomplemented
516C22⋊C4×D17C2318yescomplemented
517C22⋊C4×D17C2318yescomplemented
518C22⋊C4×D17C2318yescomplemented
519C22⋊C4×D17C2318yescomplemented
520#10587565C2318yescomplemented
521#10587565C2318yescomplemented
522#10587564C2318yescomplemented
523#10587564C2318yescomplemented
524#10587563C2318yescomplemented
525#10587563C2318yescomplemented
526#10587562C2318yescomplemented
527#10587562C2318yescomplemented
528#10587561C2318yescomplemented
529C4×D68C2318yescomplemented
530C4×D68C2318yescomplemented
531C4×D68C2318yescomplemented
532#10587558C2318yescomplemented
533#10587558C2318yescomplemented
534#10587558C2318yescomplemented
535#10587558C2318yescomplemented
536C42×D17C2318yescomplemented
537C4×Dic34C2318yescomplemented
538C24×C17C2411yescharacteristic
539C24×C17C2411yescharacteristic
540C24×C17C2411yescharacteristic
541C24×C17C2411yescharacteristic
542C23×D17—24no—
543C23×D17—24no—
544C23×D17—24no—
545C23×D17—24no—
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×D17C2411yescharacteristic
555C23×D17C2411yescharacteristic
556C23×D17C2411yescharacteristic
557C23×D17C2414yes—
558C23×D17C2414yes—
559C23×D17C2411yescharacteristic
560C23×D17C2411yescharacteristic
561C23×D17C2414yes—
562C23×D17C2414yes—
563C2×D4×C17—24no—
564C2×D4×C17—24no—
565C2×D4×C17—24no—
566C2×D4×C17—42no—
567C2×D4×C17—42no—
568C2×D4×C17—42no—
569C2×D4×C17C2414yes—
570C2×D4×C17C2414yes—
571C2×D4×C17C2414yes—
572C2×D4×C17C2414yes—
573C2×D4×C17C2414yes—
574C2×D4×C17C2414yes—
575C22×C4×C17—42no—
576C22×C4×C17—42no—
577C22×C4×C17—42no—
578C22×C4×C17—42no—
579C22×C4×C17—42no—
580C22×C4×C17—42no—
581C22×C4×C17C2411yescharacteristic
582C22×C4×C17C2411yescharacteristic
583C22×C4×C17C2411yescharacteristic
584C22×C4×C17C2411yescharacteristic
585C22×C4×C17C2411yescharacteristic
586C22×C4×C17C2411yescharacteristic
587C22×C4×C17C2411yescharacteristic
588C22×C4×C17C2411yescharacteristic
589C22×C4×C17C2411yescharacteristic
590C22×C4×C17C2411yescharacteristic
591C22×C4×C17C2411yescharacteristic
592C22×C4×C17C2414yes—
593C22×C4×C17C2414yes—
594C22×C4×C17C2414yes—
595C22×C4×C17C2414yes—
596C22×C4×C17C2414yes—
597C22×C4×C17C2414yes—
598C2×C22⋊D17—24no—
599C2×C22⋊D17—24no—
600C2×C22⋊D17—24no—
601C2×C22⋊D17—24no—
602C2×C22⋊D17—24no—
603C2×C22⋊D17—42no—
604C2×C22⋊D17—42no—
605C2×C22⋊D17—42no—
606C2×C22⋊D17—42no—
607C2×C22⋊D17—42no—
608C2×C22⋊D17—42no—
609C2×C22⋊D17#4118yescomplemented
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—42no—
625C22×Dic17—42no—
626C22×Dic17—42no—
627C22×Dic17—42no—
628C22×Dic17C2411yescharacteristic
629C22×Dic17C2411yescharacteristic
630C22×Dic17C2411yescharacteristic
631C22×Dic17C2411yescharacteristic
632C22×Dic17C2411yescharacteristic
633C22×Dic17C2411yescharacteristic
634C22×Dic17C2411yescharacteristic
635C22×Dic17C2411yescharacteristic
636C22×Dic17C2411yescharacteristic
637C22×Dic17C2411yescharacteristic
638C22×Dic17C2414yes—
639C22×Dic17C2414yes—
640C22×Dic17C2414yes—
641C22×Dic17C2414yes—
642C22×Dic17C2414yes—
643C22×Dic17C2414yes—
644C22×Dic17C2411yescharacteristic
645#63254—232no—
646#63254—416no—
647D4×D17—232no—
648D4×D17—232no—
649D4×D17—416no—
650#63252—416no—
651C2×D68—24no—
652C2×D68—24no—
653C2×D68—24no—
654C2×D68—24no—
655C2×D68—416no—
656C2×D68—42no—
657C2×D68—42no—
658C2×D68C2414yes—
659C2×D68C2414yes—
660C2×D68C2414yes—
661C2×D68C2414yes—
662C2×D68C2414yes—
663C2×D68C2414yes—
664C2×C4×D17—24no—
665C2×C4×D17—24no—
666C2×C4×D17—24no—
667C2×C4×D17—24no—
668C2×C4×D17—24no—
669C2×C4×D17—24no—
670C2×C4×D17—416no—
671C2×C4×D17—416no—
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×Dic34—24no—
697C2×Dic34—42no—
698C2×Dic34—42no—
699C2×Dic34—42no—
700C2×Dic34C2414yes—
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—
712C4⋊C4×C17C2414yes—
713C4⋊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—
724C42×C17C2414yes—
725C42×C17C2414yes—
726C42×C17C2414yes—
727C22⋊Dic17C2414yes—
728C22⋊Dic17C2414yes—
729C22⋊Dic17C2414yes—
730C22⋊Dic17C2414yes—
731C22⋊Dic17C2414yes—
732C22⋊Dic17C2414yes—
733C22⋊Dic17C2414yes—
734C22⋊Dic17C2414yes—
735C22⋊Dic17C2414yes—
736C22⋊Dic17C2414yes—
737#63227C2414yes—
738#63227C2414yes—
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—
763#63227C2414yes—
764#63227C2414yes—
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×#3513—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×C17C2×#4114yes—
813C23×C17C2512yes—
814C23×C17C2512yes—
815C23×C17C2512yes—
816C23×C17C2512yes—
817C23×C17C2511yescharacteristic
818C22×D17—22no—
819C22×D17—22no—
820C22×D17—22no—
821C22×D17—22no—
822C22×D17—22no—
823C22×D17—22no—
824C22×D17—22no—
825C22×D17—28no—
826C22×D17—22no—
827C22×D17—22no—
828C22×D17—22no—
829C22×D17—22no—
830C22×D17—22no—
831C22×D17—22no—
832C22×D17—28no—
833C22×D17—28no—
834C22×D17—28no—
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×D17—88no—
847C22×D17C2×#4114yes—
848C22×D17H(5,𝔽2)14yes—
849C22×D17C2512yes—
850C22×D17C2512yes—
851C22×D17C2512yes—
852C22×D17C2512yes—
853C22×D17C2512yes—
854D4×C17—28no—
855D4×C17—28no—
856D4×C17—28no—
857D4×C17—44no—
858D4×C17—44no—
859D4×C17—44no—
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—22no—
871C2×C4×C17—44no—
872C2×C4×C17—44no—
873C2×C4×C17—44no—
874C2×C4×C17—44no—
875C2×C4×C17—44no—
876C2×C4×C17—44no—
877C2×C4×C17C2512yes—
878C2×C4×C17C2512yes—
879C2×C4×C17C2512yes—
880C2×C4×C17C2512yes—
881C2×C4×C17C2512yes—
882C2×C4×C17C2512yes—
883C2×C4×C17C2512yes—
884C2×C4×C17C2512yes—
885C2×C4×C17C2512yes—
886C2×C4×C17C2512yes—
887C2×C4×C17C2512yes—
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—
899C22⋊D17C2×#41116yescomplemented
900C2×Dic17—22no—
901C2×Dic17—22no—
902C2×Dic17—28no—
903C2×Dic17—22no—
904C2×Dic17—22no—
905C2×Dic17—22no—
906C2×Dic17—22no—
907C2×Dic17—22no—
908C2×Dic17—22no—
909C2×Dic17—22no—
910C2×Dic17—22no—
911C2×Dic17—28no—
912C2×Dic17—44no—
913C2×Dic17—44no—
914C2×Dic17—44no—
915C2×Dic17—44no—
916C2×Dic17C2×#4114yes—
917C2×Dic17C2512yes—
918C2×Dic17C2512yes—
919C2×Dic17C2512yes—
920C2×Dic17C2512yes—
921C2×Dic17C2512yes—
922C2×Dic17C2512yes—
923C2×Dic17C2512yes—
924C2×Dic17C2512yes—
925C2×Dic17C2512yes—
926C2×Dic17C2512yes—
927C2×Dic17C2512yes—
928D68—28no—
929D68—28no—
930D68—28no—
931D68—28no—
932D68—44no—
933D68—44no—
934C4×D17—28no—
935C4×D17—28no—
936C4×D17—28no—
937C4×D17—28no—
938C4×D17—28no—
939C4×D17—28no—
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—
949Dic34—28no—
950Dic34—44no—
951Dic34—44no—
952Dic34—44no—
953#3513—1732no—
954C2×#559—171no—
955C2×#554—171no—
956C2×#553—171no—
957C2×#553—171no—
958C2×#553D1711yescharacteristic, complemented
959C2×#552—171no—
960C2×#551—171no—
961C2×#551—171no—
962C2×#551—171no—
963C2×#551—171no—
964C2×#547—171no—
965C2×#546—171no—
966C2×#546—171no—
967C2×#546—171no—
968C2×#546—171no—
969C2×D42—171no—
970C2×#542—171no—
971C2×#540—171no—
972C2×#539—171no—
973C2×#539—171no—
974C2×#538—171no—
975C2×#538—171no—
976C2×#529—171no—
977C2×#529—171no—
978C2×#525—171no—
979C2×#525—171no—
980C22×#123—171no—
981C22×#123—171no—
982C2×#520—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×C17C22×#4114yes—
1001C22×C17C22×#4112yes—
1002C22×C17C2×H(5,𝔽2)12yes—
1003C22×C17#58512yes—
1004C22×C17C2611yescharacteristic
1005C2×D17—22no—
1006C2×D17—22no—
1007C2×D17—22no—
1008C2×D17—22no—
1009C2×D17—28no—
1010C2×D17—28no—
1011C2×D17—22no—
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—416no—
1021C2×D17—416no—
1022C2×D17—44no—
1023C2×D17—44no—
1024C2×D17—44no—
1025C2×D17—88no—
1026C2×D17—88no—
1027C2×D17C22×#4114yes—
1028C2×D17C2×H(5,𝔽2)14yes—
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—
1050Dic17C22×#4114yes—
1051C22×#41—171no—
1052C22×#41—171no—
1053C22×#41—171no—
1054C23×D4—171no—
1055C23×D4—171no—
1056C23×D4—171no—
1057C23×D4—171no—
1058C24×C4—171no—
1059C24×C4—171no—
1060#559—1716no—
1061#554—1716no—
1062#553—1716no—
1063#553—1716no—
1064#553C2×D17116yescomplemented
1065#552—1716no—
1066#551—1716no—
1067#551—1716no—
1068#551—1716no—
1069#551—1716no—
1070#547—1716no—
1071#546—1716no—
1072#546—1716no—
1073#546—1716no—
1074#546—1716no—
1075D42—1716no—
1076#542—1716no—
1077#540—1716no—
1078#539—1716no—
1079#539—1716no—
1080#538—1716no—
1081#538—1716no—
1082C2×C4⋊Q8—171no—
1083C2×#127—171no—
1084#529—1716no—
1085#529—1716no—
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×#125C2×D1711yescharacteristic, complemented
1101C2×#124—171no—
1102C2×#124—171no—
1103C2×#124—171no—
1104C2×#124—171no—
1105C2×#124—171no—
1106C2×#124—171no—
1107C2×#124—171no—
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—1716no—
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×#123—171no—
1128C2×#123—171no—
1129C2×#123—1716no—
1130C2×#123—171no—
1131C2×#123—171no—
1132C2×#123—171no—
1133C2×#123—171no—
1134C2×#123—171no—
1135C2×#123—171no—
1136C2×#123C2×D1711yescharacteristic, complemented
1137C2×#123C2×D1711yescharacteristic, complemented
1138C2×C22⋊Q8—171no—
1139C2×C22⋊Q8—171no—
1140C2×C22⋊Q8—171no—
1141C2×C22⋊Q8—171no—
1142C2×C22⋊Q8—171no—
1143C2×C22⋊Q8—171no—
1144C2×C22⋊Q8—171no—
1145C2×C22⋊Q8—171no—
1146C2×C22⋊Q8—171no—
1147C2×C22⋊Q8—171no—
1148C2×C22⋊Q8—171no—
1149C2×C22⋊Q8—171no—
1150C2×C22⋊Q8—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×#121C2×D1711yescharacteristic
1165C2×#121C2×D1711yescharacteristic, complemented
1166C2×#121C2×D1711yescharacteristic, complemented
1167C2×#121C2×D1711yescharacteristic, complemented
1168C2×#120—171no—
1169C2×#120—171no—
1170C2×#120—171no—
1171C2×#120—171no—
1172C2×#120—171no—
1173C2×#120—171no—
1174C2×#120—171no—
1175C2×#120—171no—
1176#520—1716no—
1177#518—1716no—
1178C2×C4×Q8—171no—
1179C2×C4×Q8—171no—
1180C2×C4×Q8—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—171no—
1190C2×C4×D4—171no—
1191C2×C4×D4—171no—
1192C2×C4×D4—1716no—
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×D4C2×D1711yescharacteristic, complemented
1208C2×C4×D4C2×D1711yescharacteristic, complemented
1209C2×C4×D4C2×D1711yescharacteristic, complemented
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
1220C22×C4⋊C4—171no—
1221C22×C4⋊C4—171no—
1222C22×C4⋊C4—171no—
1223C22×C4⋊C4—171no—
1224C22×C4⋊C4—171no—
1225C22×C4⋊C4C2×D1711yescharacteristic, complemented
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⋊C4—171no—
1235C22×C22⋊C4—171no—
1236C22×C42—171no—
1237C2×C17—24no—
1238C2×C17—42no—
1239C2×C17—42no—
1240C2×C17—42no—
1241C2×C17#351314yescomplemented
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—
1253C25—171no—
1254C2×#41—178no—
1255C2×#41—178no—
1256C2×#41—178no—
1257C2×#41—348no—
1258C2×#41—684no—
1259C2×#41—684no—
1260C22×Q8—171no—
1261C22×Q8—171no—
1262C22×Q8—171no—
1263C22×Q8—171no—
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—171no—
1273C22×D4—171no—
1274C22×D4—171no—
1275C22×D4—171no—
1276C22×D4—178no—
1277C22×D4—178no—
1278C22×D4—178no—
1279C22×D4—171no—
1280C22×D4—171no—
1281C22×D4—171no—
1282C22×D4—171no—
1283C22×D4—171no—
1284C22×D4—171no—
1285C22×D4—178no—
1286C22×D4—348no—
1287C22×D4—348no—
1288C22×D4—684no—
1289C22×D4—684no—
1290C22×D4C22×D1711yescharacteristic
1291C22×D4C22×D1711yescharacteristic
1292C22×D4C22×D1711yescharacteristic
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—178no—
1318C23×C4—178no—
1319C23×C4—684no—
1320C23×C4—684no—
1321C23×C4C22×D1711yescharacteristic
1322C23×C4C22×D1711yescharacteristic
1323C23×C4C22×D1711yescharacteristic
1324C23×C4C22×D1711yescharacteristic
1325C23×C4C22×D1711yescharacteristic
1326C23×C4C22×D1711yescharacteristic
1327C4⋊Q8—178no—
1328#127—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#125C22×D1718yescomplemented
1344#124—178no—
1345#124—178no—
1346#124—178no—
1347#124—178no—
1348#124—178no—
1349#124—178no—
1350#124—178no—
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#123—178no—
1369#123—178no—
1370#123—178no—
1371#123—178no—
1372#123—178no—
1373#123—178no—
1374#123—178no—
1375#123C22×D1718yescomplemented
1376#123C22×D1718yescomplemented
1377C22⋊Q8—178no—
1378C22⋊Q8—178no—
1379C22⋊Q8—178no—
1380C22⋊Q8—178no—
1381C22⋊Q8—178no—
1382C22⋊Q8—178no—
1383C22⋊Q8—178no—
1384C22⋊Q8—178no—
1385C22⋊Q8—178no—
1386C22⋊Q8—178no—
1387C22⋊Q8—178no—
1388C22⋊Q8—178no—
1389C22⋊Q8—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#121C22×D1718yes—
1404#121C22×D1718yescomplemented
1405#121C22×D1718yescomplemented
1406#121C22×D1718yescomplemented
1407#120—178no—
1408#120—178no—
1409#120—178no—
1410#120—178no—
1411#120—178no—
1412#120—178no—
1413#120—178no—
1414#120—178no—
1415C4×Q8—178no—
1416C4×Q8—178no—
1417C4×Q8—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×D4C22×D1718yescomplemented
1444C4×D4C22×D1718yescomplemented
1445C4×D4C22×D1718yescomplemented
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
1456C2×C4⋊C4—171no—
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—178no—
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—178no—
1485C2×C4⋊C4—178no—
1486C2×C4⋊C4—178no—
1487C2×C4⋊C4C22×D1711yescharacteristic
1488C2×C4⋊C4C22×D1711yescharacteristic
1489C2×C4⋊C4C22×D1711yescharacteristic
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×D1718yescomplemented
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—171no—
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—178no—
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—178no—
1532C2×C22⋊C4—178no—
1533C2×C22⋊C4—171no—
1534C2×C22⋊C4—171no—
1535C2×C22⋊C4—171no—
1536C2×C22⋊C4—171no—
1537C2×C22⋊C4—171no—
1538C2×C22⋊C4—171no—
1539C2×C22⋊C4—171no—
1540C2×C22⋊C4—178no—
1541C2×C22⋊C4—178no—
1542C2×C22⋊C4—178no—
1543C2×C22⋊C4—178no—
1544C2×C22⋊C4—178no—
1545C2×C22⋊C4—178no—
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×D1711yescharacteristic
1555C2×C22⋊C4C22×D1711yescharacteristic
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×#351311yescharacteristic, complemented, Sylow
1570C24—171no—
1571C24—171no—
1572C24—171no—
1573C24—171no—
1574C24—171no—
1575C24—174no—
1576C24—174no—
1577C24—174no—
1578C24—174no—
1579C24—344no—
1580C24—344no—
1581C24—344no—
1582C24—344no—
1583C24—344no—
1584C24—344no—
1585C24—682no—
1586C24—682no—
1587C24—682no—
1588C24—682no—
1589C24—682no—
1590C24—682no—
1591C24C23×D1711yescharacteristic
1592C24C23×D1711yescharacteristic
1593C24C23×D1711yescharacteristic
1594C24C23×D1711yescharacteristic
1595#41—3432no—
1596#41—6816no—
1597#41—6816no—
1598C2×Q8—174no—
1599C2×Q8—174no—
1600C2×Q8—174no—
1601C2×Q8—174no—
1602C2×Q8—344no—
1603C2×Q8—682no—
1604C2×Q8—682no—
1605C2×Q8—682no—
1606C2×D4—24no—
1607C2×D4—24no—
1608C2×D4—24no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—178no—
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—174no—
1631C2×D4—344no—
1632C2×D4—344no—
1633C2×D4—344no—
1634C2×D4—344no—
1635C2×D4—344no—
1636C2×D4—344no—
1637C2×D4—3432no—
1638C2×D4—3432no—
1639C2×D4—344no—
1640C2×D4—344no—
1641C2×D4—344no—
1642C2×D4—682no—
1643C2×D4—682no—
1644C2×D4—6816no—
1645C2×D4—682no—
1646C2×D4—682no—
1647C2×D4—682no—
1648C2×D4—682no—
1649C2×D4—682no—
1650C2×D4—682no—
1651C2×D4—6816no—
1652C2×D4C23×D1714yes—
1653C2×D4C23×D1714yes—
1654C2×D4C23×D1714yes—
1655C2×D4C23×D1714yes—
1656C2×D4C23×D1714yes—
1657C2×D4C23×D1714yes—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—171no—
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—344no—
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—6816no—
1714C22×C4—6816no—
1715C22×C4—682no—
1716C22×C4—682no—
1717C22×C4—682no—
1718C22×C4—682no—
1719C22×C4C23×D1711yescharacteristic
1720C22×C4C23×D1711yescharacteristic
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×D1714yes—
1731C22×C4C23×D1714yes—
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⋊C4C23×D1714yes—
1763C4⋊C4C23×D1714yes—
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⋊C4—174no—
1807C22⋊C4—174no—
1808C22⋊C4—174no—
1809C22⋊C4—174no—
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—174no—
1844C23—174no—
1845C23—172no—
1846C23—172no—
1847C23—172no—
1848C23—172no—
1849C23—172no—
1850C23—348no—
1851C23—348no—
1852C23—348no—
1853C23—348no—
1854C23—342no—
1855C23—342no—
1856C23—342no—
1857C23—342no—
1858C23—342no—
1859C23—348no—
1860C23—342no—
1861C23—342no—
1862C23—342no—
1863C23—342no—
1864C23—342no—
1865C23—342no—
1866C23—342no—
1867C23—342no—
1868C23—348no—
1869C23—684no—
1870C23—684no—
1871C23—684no—
1872C23—684no—
1873C23—684no—
1874C23—684no—
1875C23—6816no—
1876C23—6816no—
1877C23—1368no—
1878C23—1368no—
1879C23#41×D1714yes—
1880C23C24×D1712yes—
1881C23C24×D1712yes—
1882C23C24×D1712yes—
1883C23C24×D1712yes—
1884C23C24×D1711yescharacteristic
1885Q8—348no—
1886Q8—684no—
1887Q8—684no—
1888Q8—684no—
1889D4—28no—
1890D4—28no—
1891D4—28no—
1892D4—44no—
1893D4—44no—
1894D4—44no—
1895D4—1716no—
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—22no—
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—44no—
1925C2×C4—44no—
1926C2×C4—44no—
1927C2×C4—44no—
1928C2×C4—44no—
1929C2×C4—44no—
1930C2×C4—174no—
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—172no—
1942C2×C4—348no—
1943C2×C4—348no—
1944C2×C4—348no—
1945C2×C4—348no—
1946C2×C4—348no—
1947C2×C4—348no—
1948C2×C4—348no—
1949C2×C4—342no—
1950C2×C4—342no—
1951C2×C4—348no—
1952C2×C4—342no—
1953C2×C4—342no—
1954C2×C4—342no—
1955C2×C4—342no—
1956C2×C4—342no—
1957C2×C4—342no—
1958C2×C4—342no—
1959C2×C4—342no—
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—174no—
2000C22—174no—
2001C22—348no—
2002C22—348no—
2003C22—342no—
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—6816no—
2017C22—6816no—
2018C22—684no—
2019C22—684no—
2020C22—684no—
2021C22—1368no—
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#1454271514yesdirect product factor
2060C2C22×#41×D1711yescharacteristic
2061C2C2×H(5,𝔽2)×D1711yescharacteristic
2062C2C2×#1176364511yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#553C2
socleC23×C17C25
hypercenterC2×#553D17
hypocenterC17C2×#3513
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #14542715C2direct (N × H)
2. C2×#11763543C2semidirect
3. C2×#11763514C2semidirect
4. C2×#11763510C2semidirect
5. C2×#11763508C2semidirect
6. C2×#11763491C2semidirect
7. C2×#11763488C2semidirect
8. C2×#11763488C2semidirect
9. C2×#11763484C2semidirect
10. C2×#11763483C2semidirect
11. C2×#11763457C2semidirect
12. C2×#11763455C2semidirect
13. C2×#11763448C2semidirect
14. C2×#11763448C2semidirect
15. C2×#11763448C2semidirect
16. C2×#11763443C2semidirect
17. C2×#11763425C2semidirect
18. C2×#11763409C2semidirect
19. C2×#11763407C2semidirect
20. C2×#11763404C2semidirect
21. C2×#11763396C2semidirect
22. C2×#11763395C2semidirect
23. C2×#11763342C2semidirect
24. C2×#11763337C2semidirect
25. C2×#11763319C2semidirect
26. C2×#11763318C2semidirect
27. C22×#10587580C2semidirect
28. C2×#123×D17C2semidirect
29. C2×#11763288C2semidirect
30. C2×#11763281C2semidirect
31. C2×C4×D4×D17C2semidirect
32. C2×C17×#553C2semidirect
33. C22×#63252C22semidirect
35. C22×#63254C22semidirect
40. C23×C4×D17C22semidirect
41. C23×C4×D17C22semidirect
42. #11763543C22semidirect
43. #11763514C22semidirect
44. #11763510C22semidirect
45. #11763508C22semidirect
46. #11763491C22semidirect
47. #11763488C22semidirect
48. #11763488C22semidirect
49. #11763484C22semidirect
50. #11763483C22semidirect
51. #11763457C22semidirect
52. #11763455C22semidirect
53. #11763448C22semidirect
54. #11763448C22semidirect
55. #11763448C22semidirect
56. #11763443C22semidirect
57. #11763425C22semidirect
58. #11763409C22semidirect
59. #11763407C22semidirect
60. #11763404C22semidirect
61. #11763396C22semidirect
62. #11763395C22semidirect
63. C2×#10587574C22semidirect
65. #11763342C22semidirect
66. #11763337C22semidirect
67. C2×#10587584C22semidirect
68. C2×#10587584C22semidirect
69. C2×#10587584C22semidirect
70. C2×#10587584C22semidirect
71. C2×#10587562C22semidirect
72. C2×#10587562C22semidirect
73. C2×#10587565C22semidirect
74. C2×#10587565C22semidirect
75. C2×#10587575C22semidirect
76. C2×#10587575C22semidirect
77. C2×#10587575C22semidirect
78. C2×#10587575C22semidirect
79. C2×#10587561C22semidirect
80. C2×#10587571C22semidirect
81. C2×#10587571C22semidirect
82. C2×#10587571C22semidirect
83. C2×#10587571C22semidirect
84. C2×#10587571C22semidirect
85. C2×#10587571C22semidirect
86. #11763319C22semidirect
87. #11763318C22semidirect
91. C2×#10587580C22semidirect
92. C2×#10587580C22semidirect
93. C2×#10587580C22semidirect
94. C2×#10587580C22semidirect
95. C2×#10587580C22semidirect
96. C2×#10587580C22semidirect
97. C2×#10587580C22semidirect
98. C2×#10587580C22semidirect
99. C2×#10587580C22semidirect
100. C2×#10587580C22semidirect
101. C2×#10587572C22semidirect
102. C2×#10587572C22semidirect
103. C2×#10587615C22semidirect
104. C2×#10587615C22semidirect
105. C2×#10587569C22semidirect
106. C2×#10587569C22semidirect
107. C2×#10587569C22semidirect
108. C2×#10587569C22semidirect
109. C2×#10587621C22semidirect
110. C2×#10587621C22semidirect
111. C2×#10587621C22semidirect
112. C2×#10587621C22semidirect
113. #123×D17C22semidirect
114. C2×#10587583C22semidirect
115. C2×#10587583C22semidirect
116. C2×#10587610C22semidirect
117. C2×#10587610C22semidirect
118. C2×#10587610C22semidirect
119. C2×#10587582C22semidirect
120. C2×#10587582C22semidirect
121. C2×#10587582C22semidirect
122. C2×#10587582C22semidirect
123. C2×#10587582C22semidirect
124. C2×#10587582C22semidirect
125. C2×#10587564C22semidirect
126. C2×#10587564C22semidirect
128. C2×#10587616C22semidirect
132. C2×#10587570C22semidirect
133. C2×#10587570C22semidirect
134. C2×#10587570C22semidirect
135. C2×#10587625C22semidirect
136. C2×#10587625C22semidirect
137. C2×#10587625C22semidirect
138. C2×#10587625C22semidirect
139. C2×#10587624C22semidirect
144. C2×#10587623C22semidirect
145. C2×#10587623C22semidirect
146. C2×#10587623C22semidirect
147. C2×#10587623C22semidirect
148. #11763288C22semidirect
149. #11763281C22semidirect
150. C2×C4×Dic34C22semidirect
151. C2×#10587573C22semidirect
152. C2×#10587573C22semidirect
153. C2×C4×D68C22semidirect
154. C2×C4×D68C22semidirect
155. C2×C4×D68C22semidirect
156. C2×D4×Dic17C22semidirect
157. C2×D4×Dic17C22semidirect
158. C2×D4×Dic17C22semidirect
160. C2×#10587579C22semidirect
161. 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
171. C2×#10587567C22semidirect
172. C2×#10587567C22semidirect
173. C2×#10587567C22semidirect
174. C2×#10587567C22semidirect
175. C2×#10587567C22semidirect
176. C2×#10587567C22semidirect
177. C2×#10587567C22semidirect
178. C4×D4×D17C22semidirect
179. C2×#10587578C22semidirect
180. C2×#10587578C22semidirect
181. C2×#10587558C22semidirect
182. C2×#10587558C22semidirect
183. C2×#10587558C22semidirect
184. C2×#10587558C22semidirect
185. C2×#10587563C22semidirect
186. C2×#10587563C22semidirect
187. C22×#63225C22semidirect
188. C22×#63225C22semidirect
189. C2×C4⋊C4×D17C22semidirect
190. C2×C4⋊C4×D17C22semidirect
191. C2×C4⋊C4×D17C22semidirect
192. C22×#63227C22semidirect
193. C22×#63227C22semidirect
194. C22×#63227C22semidirect
195. 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×C22⋊C4×D17C22semidirect
202. C2×C42×D17C22semidirect
203. C17×#553C22semidirect
204. C2×C17×#126C22semidirect
205. C2×C17×#126C22semidirect
206. C2×C17×#125C22semidirect
207. C2×C17×#123C22semidirect
208. C2×C17×#123C22semidirect
210. C2×C17×#121C22semidirect
211. C2×C17×#121C22semidirect
212. C2×C17×#121C22semidirect
213. C2×C4×D4×C17C22semidirect
214. C2×C4×D4×C17C22semidirect
215. C2×C4×D4×C17C22semidirect
216. C2×C4×D4×C17C22semidirect
217. C2×C17×#117C22semidirect
218. C22×C4⋊C4×C17C22semidirect
256. C2×#63254C23semidirect
264. C2×#63252C23semidirect
290. C22×C4×D17C23semidirect
291. C22×C4×D17C23semidirect
296. C17×#126C23semidirect
297. C17×#126C23semidirect
298. C17×#125C23semidirect
299. C17×#123C23semidirect
300. C17×#123C23semidirect
302. C17×#121C23semidirect
303. C17×#121C23semidirect
304. C17×#121C23semidirect
305. C4×D4×C17C23semidirect
306. C4×D4×C17C23semidirect
307. C4×D4×C17C23semidirect
308. C4×D4×C17C23semidirect
309. C17×#117C23semidirect
320. C2×C4⋊C4×C17C23semidirect
345. #10587625C23semidirect
346. #10587625C23semidirect
347. #10587625C23semidirect
348. #10587625C23semidirect
349. #10587624C23semidirect
352. #10587623C23semidirect
353. #10587623C23semidirect
354. #10587623C23semidirect
355. #10587623C23semidirect
356. #10587621C23semidirect
357. #10587621C23semidirect
358. #10587621C23semidirect
359. #10587621C23semidirect
360. D4×Dic17C23semidirect
361. D4×Dic17C23semidirect
362. D4×Dic17C23semidirect
363. #10587616C23semidirect
364. #10587615C23semidirect
365. #10587615C23semidirect
369. C4×C22⋊D17C23semidirect
370. C4×C22⋊D17C23semidirect
371. C4×C22⋊D17C23semidirect
372. C4×C22⋊D17C23semidirect
373. C4×C22⋊D17C23semidirect
402. C2×#63227C23semidirect
403. C2×#63227C23semidirect
404. C2×#63227C23semidirect
405. C2×#63227C23semidirect
412. #10587610C23semidirect
413. #10587610C23semidirect
414. #10587610C23semidirect
435. C2×#63225C23semidirect
436. C2×#63225C23semidirect
446. #10587584C23semidirect
447. #10587584C23semidirect
448. #10587584C23semidirect
449. #10587584C23semidirect
450. #10587583C23semidirect
451. #10587583C23semidirect
452. #10587582C23semidirect
453. #10587582C23semidirect
454. #10587582C23semidirect
455. #10587582C23semidirect
456. #10587582C23semidirect
457. #10587582C23semidirect
462. #10587580C23semidirect
463. #10587580C23semidirect
464. #10587580C23semidirect
465. #10587580C23semidirect
466. #10587580C23semidirect
467. #10587580C23semidirect
468. #10587580C23semidirect
469. #10587580C23semidirect
470. #10587580C23semidirect
472. #10587579C23semidirect
473. #10587579C23semidirect
474. #10587578C23semidirect
475. #10587578C23semidirect
476. C4⋊C4×D17C23semidirect
477. C4⋊C4×D17C23semidirect
478. C4⋊C4×D17C23semidirect
479. #10587575C23semidirect
480. #10587575C23semidirect
481. #10587575C23semidirect
482. #10587575C23semidirect
483. #10587574C23semidirect
484. #10587573C23semidirect
485. #10587573C23semidirect
486. #10587572C23semidirect
487. #10587572C23semidirect
488. #10587571C23semidirect
489. #10587571C23semidirect
490. #10587571C23semidirect
491. #10587571C23semidirect
492. #10587571C23semidirect
493. #10587571C23semidirect
497. #10587570C23semidirect
498. #10587570C23semidirect
499. #10587570C23semidirect
500. #10587569C23semidirect
501. #10587569C23semidirect
502. #10587569C23semidirect
503. #10587569C23semidirect
507. #10587567C23semidirect
508. #10587567C23semidirect
509. #10587567C23semidirect
510. #10587567C23semidirect
511. #10587567C23semidirect
512. #10587567C23semidirect
513. #10587567C23semidirect
514. C22⋊C4×D17C23semidirect
515. C22⋊C4×D17C23semidirect
516. C22⋊C4×D17C23semidirect
517. C22⋊C4×D17C23semidirect
518. C22⋊C4×D17C23semidirect
519. C22⋊C4×D17C23semidirect
520. #10587565C23semidirect
521. #10587565C23semidirect
522. #10587564C23semidirect
523. #10587564C23semidirect
524. #10587563C23semidirect
525. #10587563C23semidirect
526. #10587562C23semidirect
527. #10587562C23semidirect
528. #10587561C23semidirect
529. C4×D68C23semidirect
530. C4×D68C23semidirect
531. C4×D68C23semidirect
532. #10587558C23semidirect
533. #10587558C23semidirect
534. #10587558C23semidirect
535. #10587558C23semidirect
536. C42×D17C23semidirect
537. C4×Dic34C23semidirect
609. C2×C22⋊D17#41semidirect
899. C22⋊D17C2×#41semidirect
958. C2×#553D17semidirect
1064. #553C2×D17semidirect
1094. C2×#126C2×D17semidirect
1095. C2×#126C2×D17semidirect
1100. C2×#125C2×D17semidirect
1136. C2×#123C2×D17semidirect
1137. C2×#123C2×D17semidirect
1165. C2×#121C2×D17semidirect
1166. C2×#121C2×D17semidirect
1167. C2×#121C2×D17semidirect
1207. C2×C4×D4C2×D17semidirect
1208. C2×C4×D4C2×D17semidirect
1209. C2×C4×D4C2×D17semidirect
1210. C2×C4×D4C2×D17semidirect
1219. C2×#117C2×D17semidirect
1225. C22×C4⋊C4C2×D17semidirect
1241. C2×C17#3513semidirect
1337. #126C22×D17semidirect
1338. #126C22×D17semidirect
1343. #125C22×D17semidirect
1375. #123C22×D17semidirect
1376. #123C22×D17semidirect
1404. #121C22×D17semidirect
1405. #121C22×D17semidirect
1406. #121C22×D17semidirect
1443. C4×D4C22×D17semidirect
1444. C4×D4C22×D17semidirect
1445. C4×D4C22×D17semidirect
1446. C4×D4C22×D17semidirect
1455. #117C22×D17semidirect
1497. C2×C4⋊C4C22×D17semidirect
1569. C17C2×#3513semidirect
2059. C2#14542715direct (N × H)

Maximal subgroups

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

subgroupindex
#145427152
C2×#117635432
C2×#117635142
C2×#117635102
C2×#117635082
C2×#117634912
C2×#117634882
C2×#117634842
C2×#117634832
C2×#117634572
C2×#117634552
C2×#117634482
C2×#117634432
C2×#117634252
C2×#117634092
C2×#117634072
C2×#117634042
C2×#117633962
C2×#117633952
C2×#117633422
C2×#117633372
C2×#117633192
C2×#117633182
C22×#105875802
C2×#123×D172
C2×#117632882
C2×#117632812
C2×C4×D4×D172
C2×C17×#5532
C2×#351317