Finite Group Databasebeta

← C2×#14542510 #17942665

Subgroups — C2×#14542510 #17942665

Order 4352.

8006 conjugacy classes of subgroups.

The subgroup lattice has 2060 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14542510C2132yesmaximal, direct product factor
2C2×#11763522C211yesmaximal, characteristic, complemented
3C2×#11763521C211yesmaximal, characteristic, complemented
4C2×#11763510C211yesmaximal, characteristic, complemented
5C2×#11763510C211yesmaximal, characteristic, complemented
6C2×#11763508C211yesmaximal, characteristic, complemented
7C2×#11763504C211yesmaximal, characteristic, complemented
8C2×#11763485C211yesmaximal, characteristic, complemented
9C2×#11763483C211yesmaximal, characteristic, complemented
10C2×#11763482C211yesmaximal, characteristic, complemented
11C2×#11763461C211yesmaximal, characteristic, complemented
12C2×#11763457C211yesmaximal, characteristic, complemented
13C2×#11763455C211yesmaximal, characteristic, complemented
14C2×#11763450C211yesmaximal, characteristic, complemented
15C2×#11763449C211yesmaximal, characteristic, complemented
16C2×#11763446C211yesmaximal, characteristic, complemented
17C2×#11763438C211yesmaximal, characteristic, complemented
18C2×#11763429C211yesmaximal, characteristic, complemented
19C2×#11763425C211yesmaximal, characteristic, complemented
20C2×#11763411C211yesmaximal, characteristic, complemented
21C2×#11763411C211yesmaximal, characteristic, complemented
22C2×#11763374C211yesmaximal, characteristic, complemented
23C2×#11763358C211yesmaximal, characteristic, complemented
24C2×#11763356C211yesmaximal, characteristic, complemented
25C2×#11763342C211yesmaximal, characteristic, complemented
26C2×#11763337C211yesmaximal, characteristic, complemented
27C2×#11763317C211yesmaximal, characteristic, complemented
28C22×#10587570C211yesmaximal, characteristic, complemented
29C2×#11763288C211yesmaximal, characteristic, complemented
30C2×#11763282C211yesmaximal, characteristic, complemented
31C2×#117×D17C211yesmaximal, characteristic, complemented
32C2×C17×#551C211yesmaximal, characteristic, complemented
33C22×#63256C2211yescharacteristic, complemented
34C22×#63252C2211yescharacteristic, complemented
35C22×#63252C2211yescharacteristic, complemented
36C22×#63254C2211yescharacteristic
37C22×#63254C2211yescharacteristic, complemented
38C23×D68C2211yescharacteristic
39C23×C22⋊D17C2211yescharacteristic
40C23×C22⋊D17C2211yescharacteristic
41C23×C4×D17C2211yescharacteristic
42#11763522C22116yescomplemented
43#11763521C22116yescomplemented
44#11763510C22116yescomplemented
45#11763510C22116yescomplemented
46#11763508C22116yescomplemented
47#11763504C22116yescomplemented
48#11763485C22116yescomplemented
49#11763483C22116yescomplemented
50#11763482C22116yescomplemented
51#11763461C22116yescomplemented
52#11763457C22116yescomplemented
53#11763455C22116yescomplemented
54#11763450C22116yescomplemented
55#11763449C22116yescomplemented
56#11763446C22116yescomplemented
57#11763438C22116yescomplemented
58#11763429C22116yescomplemented
59#11763425C22116yescomplemented
60#11763411C22116yescomplemented
61#11763411C22116yescomplemented
62#11763374C22116yescomplemented
63#11763358C22116yescomplemented
64#11763356C22116yescomplemented
65C2×#10587574C2211yescharacteristic, complemented
66C2×#10587574C2211yescharacteristic, complemented
67C2×#10587630C2211yescharacteristic, complemented
68C2×#10587630C2211yescharacteristic, complemented
69C2×#10587626C2211yescharacteristic, complemented
70C2×#10587626C2211yescharacteristic, complemented
71#11763342C22116yescomplemented
72#11763337C22116yescomplemented
73C2×#10587584C2211yescharacteristic, complemented
74C2×#10587584C2211yescharacteristic, complemented
75C2×#10587584C2211yescharacteristic, complemented
76C2×#10587562C2211yescharacteristic, complemented
77C2×#10587565C2211yescharacteristic, complemented
78C2×#10587565C2211yescharacteristic, complemented
79C2×#10587575C2211yescharacteristic, complemented
80C2×#10587575C2211yescharacteristic, complemented
81C2×#10587575C2211yescharacteristic, complemented
82C2×#10587575C2211yescharacteristic, complemented
83C2×#10587633C2211yescharacteristic, complemented
84C2×#10587561C2211yescharacteristic, complemented
85C2×#10587561C2211yescharacteristic, complemented
86C2×#10587571C2211yescharacteristic, complemented
87C2×#10587571C2211yescharacteristic, complemented
88C2×#10587571C2211yescharacteristic, complemented
89C2×#10587571C2211yescharacteristic, complemented
90C2×#10587571C2211yescharacteristic, complemented
91C2×#10587571C2211yescharacteristic, complemented
92#11763317C22116yescomplemented
93C2×#10587580C2211yescharacteristic, complemented
94C2×#10587580C2211yescharacteristic, complemented
95C2×#10587580C2211yescharacteristic, complemented
96C2×#10587580C2211yescharacteristic, complemented
97C2×#10587580C2211yescharacteristic, complemented
98C2×#10587580C2211yescharacteristic, complemented
99C2×#10587572C2211yescharacteristic, complemented
100C2×#10587572C2211yescharacteristic, complemented
101C2×#10587572C2211yescharacteristic, complemented
102C2×#10587615C2211yescharacteristic
103C2×#10587615C2211yescharacteristic, complemented
104C2×#10587569C2211yescharacteristic, complemented
105C2×#10587569C2211yescharacteristic, complemented
106C2×#10587569C2211yescharacteristic, complemented
107C2×#10587569C2211yescharacteristic, complemented
108C2×#10587583C2211yescharacteristic, complemented
109C2×#10587610C2211yescharacteristic
110C2×#10587582C2211yescharacteristic, complemented
111C2×#10587582C2211yescharacteristic, complemented
112C2×#10587582C2211yescharacteristic, complemented
113C2×#10587564C2211yescharacteristic
114C2×#10587564C2211yescharacteristic
115C2×#10587564C2211yescharacteristic, complemented
116C2×#10587581C2211yescharacteristic, complemented
117C2×#10587581C2211yescharacteristic, complemented
118C2×#10587581C2211yescharacteristic, complemented
119C2×#10587616C2211yescharacteristic, complemented
120C2×#10587616C2211yescharacteristic, complemented
121C2×#10587570C2211yescharacteristic
122C2×#10587570C2211yescharacteristic
123C2×#10587570C2211yescharacteristic
124C2×#10587570C2211yescharacteristic
125C2×#10587570C2211yescharacteristic
126C2×#10587570C2211yescharacteristic
127C2×#10587570C2211yescharacteristic
128C2×#10587570C2211yescharacteristic
129C2×#10587570C22116yescomplemented
130C2×#10587570C2211yescharacteristic, complemented
131C2×#10587570C2211yescharacteristic, complemented
132C2×#10587570C2211yescharacteristic, complemented
133C2×#10587570C2211yescharacteristic, complemented
134C2×#10587570C2211yescharacteristic, complemented
135C2×#10587570C2211yescharacteristic, complemented
136C2×#10587570C2211yescharacteristic, complemented
137C2×#10587570C2211yescharacteristic, complemented
138C2×#10587625C2211yescharacteristic, complemented
139C2×#10587625C2211yescharacteristic, complemented
140C2×#10587625C2211yescharacteristic, complemented
141C2×#10587625C2211yescharacteristic, complemented
142C2×#10587624C2211yescharacteristic, complemented
143C2×#10587568C2211yescharacteristic
144C2×#10587568C2211yescharacteristic
145C2×#10587639C2211yescharacteristic
146C2×#10587623C2211yescharacteristic
147C2×#10587623C2211yescharacteristic
148#11763288C22116yescomplemented
149#11763282C22116yescomplemented
150C2×C4×Dic34C2211yescharacteristic, complemented
151C2×#10587573C2211yescharacteristic, complemented
152C2×C4×D68C2211yescharacteristic, complemented
153C2×C4×D68C2211yescharacteristic, complemented
154C2×D4×Dic17C2211yescharacteristic
155C2×#10587579C2211yescharacteristic, complemented
156C2×#10587579C2211yescharacteristic, complemented
157C2×#10587579C2211yescharacteristic, complemented
158C2×C4×C22⋊D17C2211yescharacteristic
159C2×C4×C22⋊D17C2211yescharacteristic, complemented
160C2×C4×C22⋊D17C2211yescharacteristic, complemented
161C2×C4×C22⋊D17C2211yescharacteristic, complemented
162C2×C4×C22⋊D17C2211yescharacteristic, complemented
163C2×C4×C22⋊D17C2211yescharacteristic, complemented
164C2×C4×C22⋊D17C2211yescharacteristic, complemented
165C2×#10587567C2211yescharacteristic
166C2×#10587567C2211yescharacteristic, complemented
167C2×#10587567C2211yescharacteristic, complemented
168C2×#10587567C2211yescharacteristic, complemented
169C2×#10587567C2211yescharacteristic, complemented
170C2×#10587567C2211yescharacteristic, complemented
171C2×#10587567C2211yescharacteristic, complemented
172C2×#10587567C2211yescharacteristic, complemented
173C2×#10587567C2211yescharacteristic, complemented
174C2×#10587567C2211yescharacteristic, complemented
175C2×#10587567C2211yescharacteristic, complemented
176C2×#10587612C2211yescharacteristic
177C2×#10587578C2211yescharacteristic, complemented
178C2×#10587578C2211yescharacteristic, complemented
179C2×#10587578C2211yescharacteristic, complemented
180C2×#10587558C2211yescharacteristic, complemented
181C2×#10587558C2211yescharacteristic, complemented
182C2×#10587558C2211yescharacteristic, complemented
183C2×#10587558C2211yescharacteristic, complemented
184C2×#10587563C2211yescharacteristic
185C2×#10587563C2211yescharacteristic
186C2×#10587563C2211yescharacteristic
187C2×#10587563C2211yescharacteristic, complemented
188C2×#10587563C2211yescharacteristic, complemented
189#117×D17C22116yescomplemented
190C22×#63225C2211yescharacteristic
191C22×#63225C2211yescharacteristic, complemented
192C2×C4⋊C4×D17C2211yescharacteristic, complemented
193C2×C4⋊C4×D17C2211yescharacteristic, complemented
194C2×C4⋊C4×D17C2211yescharacteristic, complemented
195C22×C22⋊Dic17C2211yescharacteristic
196C22×#63227C2211yescharacteristic
197C2×C22⋊C4×D17C2211yescharacteristic
198C2×C22⋊C4×D17C2211yescharacteristic
199C2×C22⋊C4×D17C2211yescharacteristic
200C2×C22⋊C4×D17C2211yescharacteristic
201C2×C42×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
211C2×C17×C22⋊Q8C2211yescharacteristic, complemented
212C2×C17×#120C2211yescharacteristic
213C2×C4×D4×C17C2211yescharacteristic
214C2×C4×D4×C17C2211yescharacteristic, complemented
215C2×C17×#117C2211yescharacteristic
216C2×C17×#117C2211yescharacteristic, complemented
217C22×C22⋊C4×C17C2211yescharacteristic
218C22×C22⋊C4×C17C2211yescharacteristic
219C25×C17C2311yescharacteristic
220C24×D17C2311yescharacteristic
221C24×D17C2311yescharacteristic
222C22×Q8×C17C2311yescharacteristic
223C22×D4×C17C2311yescharacteristic
224C22×D4×C17C2311yescharacteristic
225C22×D4×C17C2311yescharacteristic
226C23×C4×C17C2311yescharacteristic
227C23×C4×C17C2311yescharacteristic
228C23×C4×C17C2311yescharacteristic
229C23×C4×C17C2311yescharacteristic
230C23×C4×C17C2311yescharacteristic
231C22×C22⋊D17—28no—
232C22×C22⋊D17—44no—
233C22×C22⋊D17C2311yescharacteristic
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⋊D17C2311yescharacteristic
250C22×C22⋊D17C2318yes—
251C23×Dic17C2311yescharacteristic
252C23×Dic17C2311yescharacteristic
253C23×Dic17C2311yescharacteristic
254C23×Dic17C2311yescharacteristic
255C23×Dic17C2311yescharacteristic
256C23×Dic17C2311yescharacteristic
257C2×#63256—44no—
258C2×#63256C2318yescomplemented
259C2×#63254—28no—
260C2×#63254—44no—
261C2×#63254C2318yes—
262C2×#63254C2318yescomplemented
263C2×#63252—44no—
264C2×#63252—44no—
265C2×#63252C2318yescomplemented
266C2×#63252C2318yescomplemented
267C22×D68—44no—
268C22×D68C2311yescharacteristic
269C22×D68C2311yescharacteristic
270C22×D68C2311yescharacteristic
271C22×D68C2311yescharacteristic
272C22×D68C2311yescharacteristic
273C22×D68C2311yescharacteristic
274C22×D68C2311yescharacteristic
275C22×D68C2311yescharacteristic
276C22×D68C2318yes—
277C22×C4×D17—28no—
278C22×C4×D17C2311yescharacteristic
279C22×C4×D17C2311yescharacteristic
280C22×C4×D17C2311yescharacteristic
281C22×C4×D17C2311yescharacteristic
282C22×C4×D17C2311yescharacteristic
283C22×C4×D17C2318yes—
284C22×C4×D17C2311yescharacteristic
285C22×C4×D17C2311yescharacteristic
286C22×C4×D17C2311yescharacteristic
287C22×C4×D17C2311yescharacteristic
288C22×C4×D17C2311yescharacteristic
289C22×C4×D17C2311yescharacteristic
290C22×C4×D17C2311yescharacteristic
291C22×C4×D17C2311yescharacteristic
292C22×C4×D17C2311yescharacteristic
293C22×C4×D17C2311yescharacteristic
294C22×Dic34C2311yescharacteristic
295C22×Dic34C2311yescharacteristic
296C22×Dic34C2311yescharacteristic
297C22×Dic34C2311yescharacteristic
298C17×#126C2318yescomplemented
299C17×#126C2318yescomplemented
300C17×#124C2318yescomplemented
301C17×#123C2318yes—
302C17×#123C2318yescomplemented
303C17×#123C2318yescomplemented
304C17×C22⋊Q8C2318yes—
305C17×C22⋊Q8C2318yescomplemented
306C17×#120C2318yes—
307C4×D4×C17C2318yes—
308C4×D4×C17C2318yescomplemented
309C17×#117C2318yes—
310C17×#117C2318yescomplemented
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×C22⋊C4×C17C2311yescharacteristic
320C2×C22⋊C4×C17C2311yescharacteristic
321C2×C22⋊C4×C17C2318yes—
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×C17C2318yes—
329C2×C22⋊C4×C17C2311yescharacteristic
330C2×C22⋊C4×C17C2311yescharacteristic
331C2×C22⋊C4×C17C2311yescharacteristic
332C2×C22⋊C4×C17C2311yescharacteristic
333C2×C22⋊C4×C17C2311yescharacteristic
334C2×C22⋊C4×C17C2311yescharacteristic
335C2×C42×C17C2311yescharacteristic
336C2×C42×C17C2311yescharacteristic
337C2×C42×C17C2311yescharacteristic
338#10587639C2318yes—
339C2×C22⋊Dic17C2318yes—
340C2×C22⋊Dic17C2311yescharacteristic
341C2×C22⋊Dic17C2311yescharacteristic
342C2×C22⋊Dic17C2311yescharacteristic
343C2×C22⋊Dic17C2311yescharacteristic
344C2×C22⋊Dic17C2311yescharacteristic
345C2×C22⋊Dic17C2311yescharacteristic
346C2×C22⋊Dic17C2311yescharacteristic
347C2×C22⋊Dic17C2311yescharacteristic
348#10587633C2318yescomplemented
349#10587630C2318yescomplemented
350#10587630C2318yescomplemented
351#10587626C2318yescomplemented
352#10587626C2318yescomplemented
353#10587625C2318yescomplemented
354#10587625C2318yescomplemented
355#10587625C2318yescomplemented
356#10587625C2318yescomplemented
357#10587624C2318yescomplemented
358#10587623C2318yes—
359#10587623C2318yes—
360D4×Dic17C2318yes—
361#10587616C2318yescomplemented
362#10587616C2318yescomplemented
363#10587615C2318yes—
364#10587615C2318yescomplemented
365C4×C22⋊D17C2318yes—
366C4×C22⋊D17C2318yescomplemented
367C4×C22⋊D17C2318yescomplemented
368C4×C22⋊D17C2318yescomplemented
369C4×C22⋊D17C2318yescomplemented
370C4×C22⋊D17C2318yescomplemented
371C4×C22⋊D17C2318yescomplemented
372C2×#63227C2318yes—
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
397#10587612C2318yes—
398C2×C4⋊Dic17C2311yescharacteristic
399C2×C4⋊Dic17C2311yescharacteristic
400C2×C4⋊Dic17C2311yescharacteristic
401C2×C4⋊Dic17C2311yescharacteristic
402C2×C4⋊Dic17C2311yescharacteristic
403C2×C4⋊Dic17C2311yescharacteristic
404#10587610C2318yes—
405C2×#63225C2311yescharacteristic
406C2×#63225C2311yescharacteristic
407C2×#63225C2311yescharacteristic
408C2×#63225C2311yescharacteristic
409C2×#63225C2311yescharacteristic
410C2×#63225C2311yescharacteristic
411C2×#63225C2311yescharacteristic
412C2×#63225C2311yescharacteristic
413C2×#63225C2318yes—
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×#63225C2318yescomplemented
427C2×C4×Dic17C2311yescharacteristic
428C2×C4×Dic17C2311yescharacteristic
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#10587583C2318yescomplemented
442#10587582C2318yescomplemented
443#10587582C2318yescomplemented
444#10587582C2318yescomplemented
445#10587581C2318yescomplemented
446#10587581C2318yescomplemented
447#10587581C2318yescomplemented
448#10587580C2318yescomplemented
449#10587580C2318yescomplemented
450#10587580C2318yescomplemented
451#10587580C2318yescomplemented
452#10587580C2318yescomplemented
453#10587580C2318yescomplemented
454#10587579C2318yescomplemented
455#10587579C2318yescomplemented
456#10587579C2318yescomplemented
457#10587578C2318yescomplemented
458#10587578C2318yescomplemented
459#10587578C2318yescomplemented
460C4⋊C4×D17C2318yescomplemented
461C4⋊C4×D17C2318yescomplemented
462C4⋊C4×D17C2318yescomplemented
463#10587575C2318yescomplemented
464#10587575C2318yescomplemented
465#10587575C2318yescomplemented
466#10587575C2318yescomplemented
467#10587574C2318yescomplemented
468#10587574C2318yescomplemented
469#10587573C2318yescomplemented
470#10587572C2318yescomplemented
471#10587572C2318yescomplemented
472#10587572C2318yescomplemented
473#10587571C2318yescomplemented
474#10587571C2318yescomplemented
475#10587571C2318yescomplemented
476#10587571C2318yescomplemented
477#10587571C2318yescomplemented
478#10587571C2318yescomplemented
479#10587570C2318yes—
480#10587570C2318yes—
481#10587570C2318yes—
482#10587570C2318yes—
483#10587570C2318yes—
484#10587570C2318yes—
485#10587570C2318yes—
486#10587570C2318yes—
487#10587570C2318yescomplemented
488#10587570C2318yescomplemented
489#10587570C2318yescomplemented
490#10587570C2318yescomplemented
491#10587570C2318yescomplemented
492#10587570C2318yescomplemented
493#10587570C2318yescomplemented
494#10587570C2318yescomplemented
495#10587569C2318yescomplemented
496#10587569C2318yescomplemented
497#10587569C2318yescomplemented
498#10587569C2318yescomplemented
499#10587568C2318yes—
500#10587568C2318yes—
501#10587567C2318yes—
502#10587567C2318yescomplemented
503#10587567C2318yescomplemented
504#10587567C2318yescomplemented
505#10587567C2318yescomplemented
506#10587567C2318yescomplemented
507#10587567C2318yescomplemented
508#10587567C2318yescomplemented
509#10587567C2318yescomplemented
510#10587567C2318yescomplemented
511#10587567C2318yescomplemented
512C22⋊C4×D17C2318yes—
513C22⋊C4×D17C2318yes—
514C22⋊C4×D17C2318yes—
515C22⋊C4×D17C2318yes—
516#10587565C2318yescomplemented
517#10587565C2318yescomplemented
518#10587564C2318yes—
519#10587564C2318yes—
520#10587564C2318yescomplemented
521#10587563C2318yes—
522#10587563C2318yes—
523#10587563C2318yes—
524#10587563C2318yescomplemented
525#10587563C2318yescomplemented
526#10587562C2318yescomplemented
527#10587561C2318yescomplemented
528#10587561C2318yescomplemented
529C4×D68C2318yescomplemented
530C4×D68C2318yescomplemented
531#10587558C2318yescomplemented
532#10587558C2318yescomplemented
533#10587558C2318yescomplemented
534#10587558C2318yescomplemented
535C42×D17C2318yescomplemented
536C42×D17C2318yescomplemented
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—24no—
549C23×D17—42no—
550C23×D17—42no—
551C23×D17—42no—
552C23×D17C2411yescharacteristic
553C23×D17C2411yescharacteristic
554C23×D17C2411yescharacteristic
555C23×D17C2411yescharacteristic
556C23×D17C2414yes—
557C23×D17C2411yescharacteristic
558C23×D17C2414yes—
559C2×Q8×C17—42no—
560C2×Q8×C17C2414yes—
561C2×D4×C17—24no—
562C2×D4×C17—42no—
563C2×D4×C17—42no—
564C2×D4×C17C2414yes—
565C2×D4×C17C2414yes—
566C2×D4×C17C2414yes—
567C22×C4×C17—24no—
568C22×C4×C17—42no—
569C22×C4×C17—42no—
570C22×C4×C17—42no—
571C22×C4×C17—42no—
572C22×C4×C17C2414yes—
573C22×C4×C17C2411yescharacteristic
574C22×C4×C17C2411yescharacteristic
575C22×C4×C17C2411yescharacteristic
576C22×C4×C17C2411yescharacteristic
577C22×C4×C17C2411yescharacteristic
578C22×C4×C17C2411yescharacteristic
579C22×C4×C17C2411yescharacteristic
580C22×C4×C17C2411yescharacteristic
581C22×C4×C17C2411yescharacteristic
582C22×C4×C17C2411yescharacteristic
583C22×C4×C17C2411yescharacteristic
584C22×C4×C17C2414yes—
585C22×C4×C17C2414yes—
586C22×C4×C17C2414yes—
587C22×C4×C17C2414yes—
588C2×C22⋊D17—24no—
589C2×C22⋊D17—24no—
590C2×C22⋊D17—24no—
591C2×C22⋊D17—24no—
592C2×C22⋊D17—24no—
593C2×C22⋊D17—24no—
594C2×C22⋊D17—24no—
595C2×C22⋊D17—24no—
596C2×C22⋊D17—24no—
597C2×C22⋊D17—232no—
598C2×C22⋊D17—42no—
599C2×C22⋊D17—42no—
600C2×C22⋊D17—42no—
601C2×C22⋊D17—42no—
602C2×C22⋊D17—42no—
603C2×C22⋊D17—42no—
604C2×C22⋊D17—42no—
605C2×C22⋊D17—416no—
606C2×C22⋊D17C2414yes—
607C2×C22⋊D17C2414yes—
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—42no—
624C22×Dic17—42no—
625C22×Dic17—42no—
626C22×Dic17—42no—
627C22×Dic17#4118yescomplemented
628C22×Dic17C2411yescharacteristic
629C22×Dic17C2411yescharacteristic
630C22×Dic17C2411yescharacteristic
631C22×Dic17C2411yescharacteristic
632C22×Dic17C2411yescharacteristic
633C22×Dic17C2411yescharacteristic
634C22×Dic17C2411yescharacteristic
635C22×Dic17C2411yescharacteristic
636C22×Dic17C2411yescharacteristic
637C22×Dic17C2414yes—
638C22×Dic17C2414yes—
639C22×Dic17C2414yes—
640C22×Dic17C2414yes—
641C22×Dic17C2414yes—
642C22×Dic17C2411yescharacteristic
643C22×Dic17C2411yescharacteristic
644C22×Dic17C2414yes—
645#63256—416no—
646#63254—232no—
647#63254—416no—
648#63252—416no—
649#63252—416no—
650C2×D68—24no—
651C2×D68—24no—
652C2×D68—24no—
653C2×D68—416no—
654C2×D68—42no—
655C2×D68—42no—
656C2×D68—42no—
657C2×D68—42no—
658C2×D68—42no—
659C2×D68C2414yes—
660C2×D68C2414yes—
661C2×D68C2414yes—
662C2×D68C2414yes—
663C2×D68C2414yes—
664C2×D68C2414yes—
665C2×D68C2414yes—
666C2×D68C2414yes—
667C2×C4×D17—24no—
668C2×C4×D17—24no—
669C2×C4×D17—24no—
670C2×C4×D17—24no—
671C2×C4×D17—24no—
672C2×C4×D17—24no—
673C2×C4×D17—24no—
674C2×C4×D17—232no—
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×D17—42no—
682C2×C4×D17—42no—
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—42no—
700C2×Dic34—42no—
701C2×Dic34—42no—
702C2×Dic34C2414yes—
703C2×Dic34C2414yes—
704C2×Dic34C2414yes—
705C2×Dic34C2414yes—
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—
724C22⋊C4×C17C2414yes—
725C22⋊C4×C17C2414yes—
726C22⋊C4×C17C2414yes—
727C22⋊C4×C17C2414yes—
728C42×C17C2414yes—
729C42×C17C2414yes—
730C42×C17C2414yes—
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—
769#63225C2414yes—
770#63225C2414yes—
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—
789C4×Dic17C2414yes—
790C4×Dic17C2414yes—
791C4×Dic17C2414yes—
792C4×Dic17C2414yes—
793C4×Dic17C2414yes—
794C4×Dic17C2414yes—
795C4×Dic17C2414yes—
796C4×Dic17C2414yes—
797C4×Dic17C2414yes—
798C4×Dic17C2414yes—
799C4×Dic17C2414yes—
800C2×#3494—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—28no—
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—22no—
836C22×D17—22no—
837C22×D17—28no—
838C22×D17—28no—
839C22×D17—44no—
840C22×D17—44no—
841C22×D17—44no—
842C22×D17—416no—
843C22×D17—88no—
844C22×D17H(5,𝔽2)14yes—
845C22×D17C2512yes—
846C22×D17C2512yes—
847C22×D17C2512yes—
848C22×D17C2512yes—
849C22×D17C2512yes—
850Q8×C17—44no—
851D4×C17—28no—
852D4×C17—44no—
853D4×C17—44no—
854C2×C4×C17—22no—
855C2×C4×C17—28no—
856C2×C4×C17—22no—
857C2×C4×C17—22no—
858C2×C4×C17—22no—
859C2×C4×C17—22no—
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—44no—
867C2×C4×C17—44no—
868C2×C4×C17—44no—
869C2×C4×C17—44no—
870C2×C4×C17C2512yes—
871C2×C4×C17C2512yes—
872C2×C4×C17C2512yes—
873C2×C4×C17C2512yes—
874C2×C4×C17C2512yes—
875C2×C4×C17C2512yes—
876C2×C4×C17C2512yes—
877C2×C4×C17C2512yes—
878C2×C4×C17C2512yes—
879C2×C4×C17C2512yes—
880C2×C4×C17C2512yes—
881C22⋊D17—28no—
882C22⋊D17—28no—
883C22⋊D17—28no—
884C22⋊D17—28no—
885C22⋊D17—28no—
886C22⋊D17—28no—
887C22⋊D17—28no—
888C22⋊D17—28no—
889C22⋊D17—28no—
890C22⋊D17—44no—
891C22⋊D17—44no—
892C22⋊D17—44no—
893C22⋊D17—44no—
894C22⋊D17—44no—
895C22⋊D17—44no—
896C22⋊D17—44no—
897C2×Dic17—22no—
898C2×Dic17—22no—
899C2×Dic17—22no—
900C2×Dic17—22no—
901C2×Dic17—22no—
902C2×Dic17—22no—
903C2×Dic17—22no—
904C2×Dic17—22no—
905C2×Dic17—22no—
906C2×Dic17—28no—
907C2×Dic17—44no—
908C2×Dic17—44no—
909C2×Dic17—44no—
910C2×Dic17—44no—
911C2×Dic17C2×#4114yes—
912C2×Dic17C2×#4114yes—
913C2×Dic17C2×#41116yescomplemented
914C2×Dic17C2512yes—
915C2×Dic17C2512yes—
916C2×Dic17C2512yes—
917C2×Dic17C2512yes—
918C2×Dic17C2512yes—
919C2×Dic17C2512yes—
920C2×Dic17C2512yes—
921C2×Dic17C2512yes—
922C2×Dic17C2512yes—
923C2×Dic17C2512yes—
924C2×Dic17C2512yes—
925D68—28no—
926D68—28no—
927D68—28no—
928D68—44no—
929D68—44no—
930D68—44no—
931D68—44no—
932D68—44no—
933C4×D17—28no—
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—
948Dic34—28no—
949Dic34—44no—
950Dic34—44no—
951Dic34—44no—
952#3494—1732no—
953C2×#555—171no—
954C2×#555—171no—
955C2×#553—171no—
956C2×#553—171no—
957C2×#553—171no—
958C2×#553—171no—
959C2×#551—171no—
960C2×#551—171no—
961C2×#551—171no—
962C2×#551D1711yescharacteristic, complemented
963C2×#547—171no—
964C2×#547—171no—
965C2×#546—171no—
966C2×#546—171no—
967C2×#546—171no—
968C2×#546—171no—
969C2×#544—171no—
970C2×#542—171no—
971C2×#542—171no—
972C2×#540—171no—
973C2×#540—171no—
974C2×#535—171no—
975C2×#532—171no—
976C2×#532—171no—
977C2×#529—171no—
978C2×#529—171no—
979C2×#525—171no—
980C22×#121—171no—
981C2×#520—171no—
982C2×#518—171no—
983C22×#117—171no—
984C22×C17—22no—
985C22×C17—22no—
986C22×C17—28no—
987C22×C17—22no—
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—44no—
997C22×C17—44no—
998C22×C17—44no—
999C22×C17—88no—
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—28no—
1008C2×D17—22no—
1009C2×D17—22no—
1010C2×D17—22no—
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—44no—
1022C2×D17—44no—
1023C2×D17—44no—
1024C2×D17—44no—
1025C2×D17—88no—
1026C2×D17C2×H(5,𝔽2)14yes—
1027C4×C17—22no—
1028C4×C17—22no—
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—
1038Dic17—22no—
1039Dic17—22no—
1040Dic17—22no—
1041Dic17—22no—
1042Dic17—22no—
1043Dic17—22no—
1044Dic17—22no—
1045Dic17—22no—
1046Dic17—22no—
1047Dic17C22×#4114yes—
1048Dic17C22×#4114yes—
1049C22×#41—171no—
1050C22×#41—171no—
1051C22×#41—171no—
1052C22×#41—171no—
1053C22×#41—171no—
1054C23×D4—171no—
1055C23×D4—171no—
1056C23×D4—171no—
1057C24×C4—171no—
1058#555—1716no—
1059#555—1716no—
1060#553—1716no—
1061#553—1716no—
1062#553—1716no—
1063#553—1716no—
1064#551—1716no—
1065#551—1716no—
1066#551—1716no—
1067#551C2×D17116yescomplemented
1068#547—1716no—
1069#547—1716no—
1070#546—1716no—
1071#546—1716no—
1072#546—1716no—
1073#546—1716no—
1074#544—1716no—
1075#542—1716no—
1076#542—1716no—
1077#540—1716no—
1078#540—1716no—
1079#535—1716no—
1080#532—1716no—
1081#532—1716no—
1082C2×C4⋊Q8—171no—
1083C2×C4⋊Q8—171no—
1084C2×C4⋊Q8—171no—
1085C2×C4⋊Q8—171no—
1086C2×#127—171no—
1087C2×#127—171no—
1088#529—1716no—
1089#529—1716no—
1090C2×#126—171no—
1091C2×#126—171no—
1092C2×#126—171no—
1093C2×#126—171no—
1094C2×#126—171no—
1095C2×#126—171no—
1096C2×#126C2×D1711yescharacteristic, complemented
1097C2×#126C2×D1711yescharacteristic, complemented
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×#124—171no—
1108C2×#124—171no—
1109C2×#124—171no—
1110C2×#124—171no—
1111C2×#124C2×D1711yescharacteristic, complemented
1112#525—1716no—
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×#123—171no—
1128C2×#123C2×D1711yescharacteristic
1129C2×#123C2×D1711yescharacteristic, complemented
1130C2×#123C2×D1711yescharacteristic, complemented
1131C2×C22⋊Q8—171no—
1132C2×C22⋊Q8—171no—
1133C2×C22⋊Q8—171no—
1134C2×C22⋊Q8—171no—
1135C2×C22⋊Q8—171no—
1136C2×C22⋊Q8—171no—
1137C2×C22⋊Q8—171no—
1138C2×C22⋊Q8—171no—
1139C2×C22⋊Q8C2×D1711yescharacteristic
1140C2×C22⋊Q8C2×D1711yescharacteristic, complemented
1141C2×#121—171no—
1142C2×#121—171no—
1143C2×#121—171no—
1144C2×#121—171no—
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—1716no—
1160C2×#121—171no—
1161C2×#121—171no—
1162C2×#121—171no—
1163C2×#121—171no—
1164C2×#121—171no—
1165C2×#121—171no—
1166C2×#121—171no—
1167C2×#121—171no—
1168C2×#120—171no—
1169C2×#120—171no—
1170C2×#120—171no—
1171C2×#120—171no—
1172C2×#120—171no—
1173C2×#120C2×D1711yescharacteristic
1174#520—1716no—
1175#518—1716no—
1176C2×C4×Q8—171no—
1177C2×C4×Q8—171no—
1178C2×C4×D4—171no—
1179C2×C4×D4—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—171no—
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×D4C2×D1711yescharacteristic
1203C2×C4×D4C2×D1711yescharacteristic, complemented
1204C2×#117—171no—
1205C2×#117—1716no—
1206C2×#117—171no—
1207C2×#117—171no—
1208C2×#117—171no—
1209C2×#117—171no—
1210C2×#117—171no—
1211C2×#117—171no—
1212C2×#117—171no—
1213C2×#117—171no—
1214C2×#117—171no—
1215C2×#117—171no—
1216C2×#117—171no—
1217C2×#117—171no—
1218C2×#117C2×D1711yescharacteristic
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×C22⋊C4—171no—
1226C22×C22⋊C4—171no—
1227C22×C22⋊C4—171no—
1228C22×C22⋊C4—171no—
1229C22×C22⋊C4—171no—
1230C22×C22⋊C4—171no—
1231C22×C22⋊C4C2×D1711yescharacteristic
1232C22×C22⋊C4C2×D1711yescharacteristic
1233C22×C42—171no—
1234C22×C42—171no—
1235C2×C17—24no—
1236C2×C17—42no—
1237C2×C17—42no—
1238C2×C17—42no—
1239C2×C17#349414yescomplemented
1240C2×C17C23×#4111yescharacteristic
1241C2×C17C22×H(5,𝔽2)11yescharacteristic
1242C2×C17C2×#58511yescharacteristic
1243D17—24no—
1244D17—42no—
1245D17—42no—
1246D17—42no—
1247D17—42no—
1248C25—171no—
1249C25—171no—
1250C25C22×D1711yescharacteristic
1251C2×#41—178no—
1252C2×#41—178no—
1253C2×#41—178no—
1254C2×#41—178no—
1255C2×#41—178no—
1256C2×#41—348no—
1257C2×#41—684no—
1258C2×#41—684no—
1259C2×#41—684no—
1260C2×#41—684no—
1261C22×Q8—171no—
1262C22×Q8—171no—
1263C22×Q8—171no—
1264C22×Q8—171no—
1265C22×Q8C22×D1711yescharacteristic
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—178no—
1276C22×D4—171no—
1277C22×D4—171no—
1278C22×D4—171no—
1279C22×D4—171no—
1280C22×D4—171no—
1281C22×D4—171no—
1282C22×D4—171no—
1283C22×D4—178no—
1284C22×D4—171no—
1285C22×D4—171no—
1286C22×D4—171no—
1287C22×D4—171no—
1288C22×D4—171no—
1289C22×D4—171no—
1290C22×D4—171no—
1291C22×D4—171no—
1292C22×D4—178no—
1293C22×D4—348no—
1294C22×D4—684no—
1295C22×D4—684no—
1296C22×D4C22×D1711yescharacteristic
1297C22×D4C22×D1711yescharacteristic
1298C22×D4C22×D1711yescharacteristic
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—178no—
1312C23×C4—171no—
1313C23×C4—171no—
1314C23×C4—171no—
1315C23×C4—171no—
1316C23×C4—171no—
1317C23×C4—171no—
1318C23×C4—171no—
1319C23×C4—171no—
1320C23×C4—171no—
1321C23×C4—348no—
1322C23×C4C22×D1711yescharacteristic
1323C23×C4C22×D1711yescharacteristic
1324C23×C4C22×D1711yescharacteristic
1325C23×C4C22×D1711yescharacteristic
1326C23×C4C22×D1711yescharacteristic
1327C4⋊Q8—178no—
1328C4⋊Q8—178no—
1329C4⋊Q8—178no—
1330C4⋊Q8—178no—
1331#127—178no—
1332#127—178no—
1333#126—178no—
1334#126—178no—
1335#126—178no—
1336#126—178no—
1337#126—178no—
1338#126—178no—
1339#126C22×D1718yescomplemented
1340#126C22×D1718yescomplemented
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#124—178no—
1351#124—178no—
1352#124—178no—
1353#124—178no—
1354#124C22×D1718yescomplemented
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#123C22×D1718yes—
1371#123C22×D1718yescomplemented
1372#123C22×D1718yescomplemented
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⋊Q8C22×D1718yes—
1382C22⋊Q8C22×D1718yescomplemented
1383#121—178no—
1384#121—178no—
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#121—178no—
1408#121—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×D4C22×D1718yes—
1442C4×D4C22×D1718yescomplemented
1443#117—178no—
1444#117—178no—
1445#117—178no—
1446#117—178no—
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#117—178no—
1456#117C22×D1718yes—
1457#117C22×D1718yescomplemented
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—171no—
1469C2×C4⋊C4—171no—
1470C2×C4⋊C4—171no—
1471C2×C4⋊C4—178no—
1472C2×C4⋊C4—178no—
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⋊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×C22⋊C4—171no—
1498C2×C22⋊C4—171no—
1499C2×C22⋊C4—171no—
1500C2×C22⋊C4—171no—
1501C2×C22⋊C4—171no—
1502C2×C22⋊C4—178no—
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—178no—
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—171no—
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—178no—
1534C2×C22⋊C4—178no—
1535C2×C22⋊C4C22×D1711yescharacteristic
1536C2×C22⋊C4C22×D1711yescharacteristic
1537C2×C22⋊C4C22×D1711yescharacteristic
1538C2×C22⋊C4C22×D1711yescharacteristic
1539C2×C22⋊C4C22×D1711yescharacteristic
1540C2×C22⋊C4C22×D1711yescharacteristic
1541C2×C22⋊C4C22×D1711yescharacteristic
1542C2×C22⋊C4C22×D1718yes—
1543C2×C22⋊C4C22×D1711yescharacteristic
1544C2×C22⋊C4C22×D1711yescharacteristic
1545C2×C22⋊C4C22×D1718yes—
1546C2×C22⋊C4C22×D1711yescharacteristic
1547C2×C22⋊C4C22×D1711yescharacteristic
1548C2×C22⋊C4C22×D1711yescharacteristic
1549C2×C22⋊C4C22×D1711yescharacteristic
1550C2×C22⋊C4C22×D1711yescharacteristic
1551C2×C42—171no—
1552C2×C42—171no—
1553C2×C42—171no—
1554C2×C42—171no—
1555C2×C42—171no—
1556C2×C42—171no—
1557C2×C42—171no—
1558C2×C42—171no—
1559C2×C42—171no—
1560C2×C42—171no—
1561C2×C42—171no—
1562C2×C42—178no—
1563C2×C42—178no—
1564C2×C42C22×D1711yescharacteristic
1565C2×C42C22×D1711yescharacteristic
1566C2×C42C22×D1711yescharacteristic
1567C17C2×#349411yescharacteristic, complemented, Sylow
1568C24—24no—
1569C24—42no—
1570C24—42no—
1571C24—171no—
1572C24—171no—
1573C24—171no—
1574C24—171no—
1575C24—171no—
1576C24—174no—
1577C24—174no—
1578C24—344no—
1579C24—344no—
1580C24—344no—
1581C24—682no—
1582C24—682no—
1583C24—682no—
1584C24C23×D1711yescharacteristic
1585C24C23×D1711yescharacteristic
1586C24C23×D1711yescharacteristic
1587C24C23×D1711yescharacteristic
1588C24C23×D1714yes—
1589#41—3432no—
1590#41—6816no—
1591#41—6816no—
1592#41—6816no—
1593#41—6816no—
1594C2×Q8—42no—
1595C2×Q8—174no—
1596C2×Q8—174no—
1597C2×Q8—174no—
1598C2×Q8—174no—
1599C2×Q8—344no—
1600C2×Q8—682no—
1601C2×Q8—682no—
1602C2×Q8—682no—
1603C2×Q8C23×D1714yes—
1604C2×D4—24no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—174no—
1608C2×D4—174no—
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—174no—
1631C2×D4—344no—
1632C2×D4—344no—
1633C2×D4—344no—
1634C2×D4—344no—
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—682no—
1645C2×D4—682no—
1646C2×D4—682no—
1647C2×D4—682no—
1648C2×D4—682no—
1649C2×D4—6816no—
1650C2×D4—682no—
1651C2×D4—682no—
1652C2×D4—682no—
1653C2×D4—682no—
1654C2×D4—682no—
1655C2×D4—682no—
1656C2×D4—682no—
1657C2×D4—6816no—
1658C2×D4C23×D1714yes—
1659C2×D4C23×D1714yes—
1660C2×D4C23×D1714yes—
1661C22×C4—24no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—178no—
1667C22×C4—174no—
1668C22×C4—171no—
1669C22×C4—171no—
1670C22×C4—174no—
1671C22×C4—171no—
1672C22×C4—171no—
1673C22×C4—171no—
1674C22×C4—171no—
1675C22×C4—171no—
1676C22×C4—171no—
1677C22×C4—171no—
1678C22×C4—171no—
1679C22×C4—171no—
1680C22×C4—174no—
1681C22×C4—174no—
1682C22×C4—174no—
1683C22×C4—174no—
1684C22×C4—174no—
1685C22×C4—174no—
1686C22×C4—174no—
1687C22×C4—174no—
1688C22×C4—174no—
1689C22×C4—174no—
1690C22×C4—174no—
1691C22×C4—174no—
1692C22×C4—174no—
1693C22×C4—174no—
1694C22×C4—174no—
1695C22×C4—174no—
1696C22×C4—174no—
1697C22×C4—174no—
1698C22×C4—174no—
1699C22×C4—344no—
1700C22×C4—344no—
1701C22×C4—344no—
1702C22×C4—344no—
1703C22×C4—3432no—
1704C22×C4—344no—
1705C22×C4—344no—
1706C22×C4—344no—
1707C22×C4—344no—
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—682no—
1717C22×C4—682no—
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⋊C4C23×D1714yes—
1763C4⋊C4C23×D1714yes—
1764C4⋊C4C23×D1714yes—
1765C4⋊C4C23×D1714yes—
1766C4⋊C4C23×D1714yes—
1767C4⋊C4C23×D1714yes—
1768C4⋊C4C23×D1714yes—
1769C4⋊C4C23×D1714yes—
1770C22⋊C4—174no—
1771C22⋊C4—174no—
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⋊C4C23×D1714yes—
1803C22⋊C4C23×D1714yes—
1804C22⋊C4C23×D1714yes—
1805C22⋊C4C23×D1714yes—
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—
1816C42—174no—
1817C42—174no—
1818C42—174no—
1819C42—174no—
1820C42—174no—
1821C42—174no—
1822C42—174no—
1823C42—174no—
1824C42—174no—
1825C42—174no—
1826C42—174no—
1827C42C23×D1714yes—
1828C42C23×D1714yes—
1829C42C23×D1714yes—
1830C23—22no—
1831C23—22no—
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—28no—
1842C23—44no—
1843C23—44no—
1844C23—88no—
1845C23—174no—
1846C23—172no—
1847C23—172no—
1848C23—172no—
1849C23—172no—
1850C23—172no—
1851C23—348no—
1852C23—342no—
1853C23—342no—
1854C23—348no—
1855C23—342no—
1856C23—342no—
1857C23—342no—
1858C23—342no—
1859C23—342no—
1860C23—342no—
1861C23—342no—
1862C23—342no—
1863C23—342no—
1864C23—342no—
1865C23—342no—
1866C23—342no—
1867C23—348no—
1868C23—684no—
1869C23—684no—
1870C23—684no—
1871C23—6816no—
1872C23—1368no—
1873C23#41×D1714yes—
1874C23C24×D1712yes—
1875C23C24×D1712yes—
1876C23C24×D1712yes—
1877C23C24×D1712yes—
1878C23C24×D1711yescharacteristic
1879Q8—44no—
1880Q8—348no—
1881Q8—684no—
1882Q8—684no—
1883Q8—684no—
1884D4—28no—
1885D4—44no—
1886D4—44no—
1887D4—348no—
1888D4—348no—
1889D4—348no—
1890D4—348no—
1891D4—348no—
1892D4—348no—
1893D4—348no—
1894D4—348no—
1895D4—348no—
1896D4—348no—
1897D4—348no—
1898D4—348no—
1899D4—684no—
1900D4—684no—
1901D4—684no—
1902D4—684no—
1903D4—684no—
1904D4—684no—
1905D4—684no—
1906D4—684no—
1907D4—684no—
1908D4—684no—
1909D4—684no—
1910D4—684no—
1911C2×C4—28no—
1912C2×C4—22no—
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—44no—
1924C2×C4—44no—
1925C2×C4—44no—
1926C2×C4—44no—
1927C2×C4—174no—
1928C2×C4—174no—
1929C2×C4—1716no—
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—348no—
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×C4C24×D1712yes—
1971C2×C4C24×D1712yes—
1972C2×C4C24×D1712yes—
1973C2×C4C24×D1712yes—
1974C2×C4C24×D1712yes—
1975C2×C4C24×D1712yes—
1976C2×C4C24×D1712yes—
1977C2×C4C24×D1712yes—
1978C2×C4C24×D1712yes—
1979C2×C4C24×D1712yes—
1980C2×C4C24×D1712yes—
1981C22—28no—
1982C22—22no—
1983C22—22no—
1984C22—22no—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—44no—
1994C22—44no—
1995C22—44no—
1996C22—88no—
1997C22—174no—
1998C22—348no—
1999C22—342no—
2000C22—342no—
2001C22—342no—
2002C22—342no—
2003C22—342no—
2004C22—342no—
2005C22—342no—
2006C22—342no—
2007C22—342no—
2008C22—342no—
2009C22—342no—
2010C22—342no—
2011C22—342no—
2012C22—342no—
2013C22—6816no—
2014C22—684no—
2015C22—684no—
2016C22—684no—
2017C22—684no—
2018C22—1368no—
2019C22C2×#41×D1714yes—
2020C22C2×#41×D1712yes—
2021C22H(5,𝔽2)×D1712yes—
2022C22#1176364512yes—
2023C22C25×D1711yescharacteristic
2024C4—22no—
2025C4—22no—
2026C4—22no—
2027C4—22no—
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—22no—
2035C4—174no—
2036C4—174no—
2037C4—342no—
2038C4—342no—
2039C4—342no—
2040C4—342no—
2041C4—342no—
2042C4—342no—
2043C4—342no—
2044C4—342no—
2045C4—342no—
2046C2—24no—
2047C2—42no—
2048C2—42no—
2049C2—42no—
2050C2—344no—
2051C2—682no—
2052C2—682no—
2053C2—682no—
2054C2—682no—
2055C2#1454251014yesdirect product factor
2056C2C22×#41×D1711yescharacteristic
2057C2C2×H(5,𝔽2)×D1711yescharacteristic
2058C2C2×#1176364511yescharacteristic
subgroupG/H
centerC23C24×D17
commutator, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC2×C17×#551C2
socleC23×C17C25
hypercenterC2×#551D17
hypocenterC17C2×#3494
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #14542510C2direct (N × H)
2. C2×#11763522C2semidirect
3. C2×#11763521C2semidirect
4. C2×#11763510C2semidirect
5. C2×#11763510C2semidirect
6. C2×#11763508C2semidirect
7. C2×#11763504C2semidirect
8. C2×#11763485C2semidirect
9. C2×#11763483C2semidirect
10. C2×#11763482C2semidirect
11. C2×#11763461C2semidirect
12. C2×#11763457C2semidirect
13. C2×#11763455C2semidirect
14. C2×#11763450C2semidirect
15. C2×#11763449C2semidirect
16. C2×#11763446C2semidirect
17. C2×#11763438C2semidirect
18. C2×#11763429C2semidirect
19. C2×#11763425C2semidirect
20. C2×#11763411C2semidirect
21. C2×#11763411C2semidirect
22. C2×#11763374C2semidirect
23. C2×#11763358C2semidirect
24. C2×#11763356C2semidirect
25. C2×#11763342C2semidirect
26. C2×#11763337C2semidirect
27. C2×#11763317C2semidirect
28. C22×#10587570C2semidirect
29. C2×#11763288C2semidirect
30. C2×#11763282C2semidirect
31. C2×#117×D17C2semidirect
32. C2×C17×#551C2semidirect
33. C22×#63256C22semidirect
34. C22×#63252C22semidirect
35. C22×#63252C22semidirect
37. C22×#63254C22semidirect
42. #11763522C22semidirect
43. #11763521C22semidirect
44. #11763510C22semidirect
45. #11763510C22semidirect
46. #11763508C22semidirect
47. #11763504C22semidirect
48. #11763485C22semidirect
49. #11763483C22semidirect
50. #11763482C22semidirect
51. #11763461C22semidirect
52. #11763457C22semidirect
53. #11763455C22semidirect
54. #11763450C22semidirect
55. #11763449C22semidirect
56. #11763446C22semidirect
57. #11763438C22semidirect
58. #11763429C22semidirect
59. #11763425C22semidirect
60. #11763411C22semidirect
61. #11763411C22semidirect
62. #11763374C22semidirect
63. #11763358C22semidirect
64. #11763356C22semidirect
65. C2×#10587574C22semidirect
66. C2×#10587574C22semidirect
67. C2×#10587630C22semidirect
68. C2×#10587630C22semidirect
69. C2×#10587626C22semidirect
70. C2×#10587626C22semidirect
71. #11763342C22semidirect
72. #11763337C22semidirect
73. C2×#10587584C22semidirect
74. C2×#10587584C22semidirect
75. C2×#10587584C22semidirect
76. C2×#10587562C22semidirect
77. C2×#10587565C22semidirect
78. C2×#10587565C22semidirect
79. C2×#10587575C22semidirect
80. C2×#10587575C22semidirect
81. C2×#10587575C22semidirect
82. C2×#10587575C22semidirect
83. C2×#10587633C22semidirect
84. C2×#10587561C22semidirect
85. C2×#10587561C22semidirect
86. C2×#10587571C22semidirect
87. C2×#10587571C22semidirect
88. C2×#10587571C22semidirect
89. C2×#10587571C22semidirect
90. C2×#10587571C22semidirect
91. C2×#10587571C22semidirect
92. #11763317C22semidirect
93. C2×#10587580C22semidirect
94. C2×#10587580C22semidirect
95. C2×#10587580C22semidirect
96. C2×#10587580C22semidirect
97. C2×#10587580C22semidirect
98. C2×#10587580C22semidirect
99. C2×#10587572C22semidirect
100. C2×#10587572C22semidirect
101. C2×#10587572C22semidirect
103. C2×#10587615C22semidirect
104. C2×#10587569C22semidirect
105. C2×#10587569C22semidirect
106. C2×#10587569C22semidirect
107. C2×#10587569C22semidirect
108. C2×#10587583C22semidirect
110. C2×#10587582C22semidirect
111. C2×#10587582C22semidirect
112. C2×#10587582C22semidirect
115. C2×#10587564C22semidirect
116. C2×#10587581C22semidirect
117. C2×#10587581C22semidirect
118. C2×#10587581C22semidirect
119. C2×#10587616C22semidirect
120. C2×#10587616C22semidirect
129. C2×#10587570C22semidirect
130. C2×#10587570C22semidirect
131. C2×#10587570C22semidirect
132. C2×#10587570C22semidirect
133. C2×#10587570C22semidirect
134. C2×#10587570C22semidirect
135. C2×#10587570C22semidirect
136. C2×#10587570C22semidirect
137. C2×#10587570C22semidirect
138. C2×#10587625C22semidirect
139. C2×#10587625C22semidirect
140. C2×#10587625C22semidirect
141. C2×#10587625C22semidirect
142. C2×#10587624C22semidirect
148. #11763288C22semidirect
149. #11763282C22semidirect
150. C2×C4×Dic34C22semidirect
151. C2×#10587573C22semidirect
152. C2×C4×D68C22semidirect
153. C2×C4×D68C22semidirect
155. C2×#10587579C22semidirect
156. C2×#10587579C22semidirect
157. C2×#10587579C22semidirect
159. C2×C4×C22⋊D17C22semidirect
160. C2×C4×C22⋊D17C22semidirect
161. C2×C4×C22⋊D17C22semidirect
162. C2×C4×C22⋊D17C22semidirect
163. C2×C4×C22⋊D17C22semidirect
164. C2×C4×C22⋊D17C22semidirect
166. C2×#10587567C22semidirect
167. C2×#10587567C22semidirect
168. C2×#10587567C22semidirect
169. C2×#10587567C22semidirect
170. C2×#10587567C22semidirect
171. C2×#10587567C22semidirect
172. C2×#10587567C22semidirect
173. C2×#10587567C22semidirect
174. C2×#10587567C22semidirect
175. C2×#10587567C22semidirect
177. C2×#10587578C22semidirect
178. C2×#10587578C22semidirect
179. C2×#10587578C22semidirect
180. C2×#10587558C22semidirect
181. C2×#10587558C22semidirect
182. C2×#10587558C22semidirect
183. C2×#10587558C22semidirect
187. C2×#10587563C22semidirect
188. C2×#10587563C22semidirect
189. #117×D17C22semidirect
191. C22×#63225C22semidirect
192. C2×C4⋊C4×D17C22semidirect
193. C2×C4⋊C4×D17C22semidirect
194. C2×C4⋊C4×D17C22semidirect
201. C2×C42×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
211. C2×C17×C22⋊Q8C22semidirect
214. C2×C4×D4×C17C22semidirect
216. C2×C17×#117C22semidirect
258. C2×#63256C23semidirect
262. C2×#63254C23semidirect
265. C2×#63252C23semidirect
266. C2×#63252C23semidirect
298. C17×#126C23semidirect
299. C17×#126C23semidirect
300. C17×#124C23semidirect
302. C17×#123C23semidirect
303. C17×#123C23semidirect
305. C17×C22⋊Q8C23semidirect
308. C4×D4×C17C23semidirect
310. C17×#117C23semidirect
348. #10587633C23semidirect
349. #10587630C23semidirect
350. #10587630C23semidirect
351. #10587626C23semidirect
352. #10587626C23semidirect
353. #10587625C23semidirect
354. #10587625C23semidirect
355. #10587625C23semidirect
356. #10587625C23semidirect
357. #10587624C23semidirect
361. #10587616C23semidirect
362. #10587616C23semidirect
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
426. C2×#63225C23semidirect
438. #10587584C23semidirect
439. #10587584C23semidirect
440. #10587584C23semidirect
441. #10587583C23semidirect
442. #10587582C23semidirect
443. #10587582C23semidirect
444. #10587582C23semidirect
445. #10587581C23semidirect
446. #10587581C23semidirect
447. #10587581C23semidirect
448. #10587580C23semidirect
449. #10587580C23semidirect
450. #10587580C23semidirect
451. #10587580C23semidirect
452. #10587580C23semidirect
453. #10587580C23semidirect
454. #10587579C23semidirect
455. #10587579C23semidirect
456. #10587579C23semidirect
457. #10587578C23semidirect
458. #10587578C23semidirect
459. #10587578C23semidirect
460. C4⋊C4×D17C23semidirect
461. C4⋊C4×D17C23semidirect
462. C4⋊C4×D17C23semidirect
463. #10587575C23semidirect
464. #10587575C23semidirect
465. #10587575C23semidirect
466. #10587575C23semidirect
467. #10587574C23semidirect
468. #10587574C23semidirect
469. #10587573C23semidirect
470. #10587572C23semidirect
471. #10587572C23semidirect
472. #10587572C23semidirect
473. #10587571C23semidirect
474. #10587571C23semidirect
475. #10587571C23semidirect
476. #10587571C23semidirect
477. #10587571C23semidirect
478. #10587571C23semidirect
487. #10587570C23semidirect
488. #10587570C23semidirect
489. #10587570C23semidirect
490. #10587570C23semidirect
491. #10587570C23semidirect
492. #10587570C23semidirect
493. #10587570C23semidirect
494. #10587570C23semidirect
495. #10587569C23semidirect
496. #10587569C23semidirect
497. #10587569C23semidirect
498. #10587569C23semidirect
502. #10587567C23semidirect
503. #10587567C23semidirect
504. #10587567C23semidirect
505. #10587567C23semidirect
506. #10587567C23semidirect
507. #10587567C23semidirect
508. #10587567C23semidirect
509. #10587567C23semidirect
510. #10587567C23semidirect
511. #10587567C23semidirect
516. #10587565C23semidirect
517. #10587565C23semidirect
520. #10587564C23semidirect
524. #10587563C23semidirect
525. #10587563C23semidirect
526. #10587562C23semidirect
527. #10587561C23semidirect
528. #10587561C23semidirect
529. C4×D68C23semidirect
530. C4×D68C23semidirect
531. #10587558C23semidirect
532. #10587558C23semidirect
533. #10587558C23semidirect
534. #10587558C23semidirect
535. C42×D17C23semidirect
536. C42×D17C23semidirect
537. C4×Dic34C23semidirect
627. C22×Dic17#41semidirect
913. C2×Dic17C2×#41semidirect
962. C2×#551D17semidirect
1067. #551C2×D17semidirect
1096. C2×#126C2×D17semidirect
1097. C2×#126C2×D17semidirect
1111. C2×#124C2×D17semidirect
1129. C2×#123C2×D17semidirect
1130. C2×#123C2×D17semidirect
1140. C2×C22⋊Q8C2×D17semidirect
1203. C2×C4×D4C2×D17semidirect
1219. C2×#117C2×D17semidirect
1239. C2×C17#3494semidirect
1339. #126C22×D17semidirect
1340. #126C22×D17semidirect
1354. #124C22×D17semidirect
1371. #123C22×D17semidirect
1372. #123C22×D17semidirect
1382. C22⋊Q8C22×D17semidirect
1442. C4×D4C22×D17semidirect
1457. #117C22×D17semidirect
1567. C17C2×#3494semidirect
2055. C2#14542510direct (N × H)

Maximal subgroups

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

subgroupindex
#145425102
C2×#117635222
C2×#117635212
C2×#117635102
C2×#117635082
C2×#117635042
C2×#117634852
C2×#117634832
C2×#117634822
C2×#117634612
C2×#117634572
C2×#117634552
C2×#117634502
C2×#117634492
C2×#117634462
C2×#117634382
C2×#117634292
C2×#117634252
C2×#117634112
C2×#117633742
C2×#117633582
C2×#117633562
C2×#117633422
C2×#117633372
C2×#117633172
C22×#105875702
C2×#117632882
C2×#117632822
C2×#117×D172
C2×C17×#5512
C2×#349417