Finite Group Databasebeta

← C2×#13082813 #15660968

Subgroups — C2×#13082813 #15660968

Order 2816.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082813C2132yesmaximal, direct product factor
2C2×#10623182C211yesmaximal, characteristic, complemented
3C2×#10623203C211yesmaximal, characteristic, complemented
4C2×#10623152C211yesmaximal, characteristic, complemented
5C2×#10623152C211yesmaximal, characteristic, complemented
6C2×#10623070C211yesmaximal, characteristic, complemented
7C2×#10623167C211yesmaximal, characteristic, complemented
8C2×#10623072C211yesmaximal, characteristic, complemented
9C2×#10623181C211yesmaximal, characteristic, complemented
10C2×#10623118C211yesmaximal, characteristic, complemented
11C2×#10623118C211yesmaximal, characteristic, complemented
12C2×#10623026C211yesmaximal, characteristic, complemented
13C2×#10623026C211yesmaximal, characteristic, complemented
14C2×#10623142C211yesmaximal, characteristic, complemented
15C2×#10623355C211yesmaximal, characteristic, complemented
16C2×#10623337C211yesmaximal, characteristic, complemented
17C2×#10623154C211yesmaximal, characteristic, complemented
18C2×#10623014C211yesmaximal, characteristic, complemented
19C2×#10623134C211yesmaximal, characteristic, complemented
20C2×#10623200C211yesmaximal, characteristic, complemented
21C2×#10623133C211yesmaximal, characteristic, complemented
22C2×#10623133C211yesmaximal, characteristic, complemented
23C2×#10623191C211yesmaximal, characteristic, complemented
24C2×#10623095C211yesmaximal, characteristic, complemented
25C2×#10623095C211yesmaximal, characteristic, complemented
26C2×#10623124C211yesmaximal, characteristic, complemented
27C2×#10623179C211yesmaximal, characteristic, complemented
28C2×#10623356C211yesmaximal, characteristic, complemented
29C2×#10623117C211yesmaximal, characteristic, complemented
30C22×#66988C211yesmaximal, characteristic, complemented
31C22×#66931C211yesmaximal, characteristic, complemented
32C2×C11×#546C211yesmaximal, characteristic, complemented
33C22×C11×#41C2211yescharacteristic
34C23×D4×C11C2211yescharacteristic
35C24×Dic11C2211yescharacteristic
36C22×#4341C2211yescharacteristic
37C22×#4341C2211yescharacteristic, complemented
38C23×Dic22C2211yescharacteristic, complemented
39C11×#546C22116yescomplemented
40C2×C11×#124C2211yescharacteristic
41C2×C11×#123C2211yescharacteristic
42C2×C11×#123C2211yescharacteristic
43C2×C11×C22⋊Q8C2211yescharacteristic
44C2×C11×#121C2211yescharacteristic
45C2×C11×#121C2211yescharacteristic
46C2×C11×#121C2211yescharacteristic
47C2×C11×#120C2211yescharacteristic
48C2×C11×#120C2211yescharacteristic
49C2×C4×D4×C11C2211yescharacteristic
50C2×C4×D4×C11C2211yescharacteristic
51C22×C11×C22⋊C4C2211yescharacteristic
52C22×C11×C22⋊C4C2211yescharacteristic
53C2×#67006C2211yescharacteristic
54C2×#67006C2211yescharacteristic
55C22×C22⋊Dic11C2211yescharacteristic
56C22×C22⋊Dic11C2211yescharacteristic
57C22×C22⋊Dic11C2211yescharacteristic
58C22×C22⋊Dic11C2211yescharacteristic
59C22×C22⋊Dic11C2211yescharacteristic
60#10623356C22116yescomplemented
61#10623355C22116yescomplemented
62C2×#66999C2211yescharacteristic, complemented
63C2×#66997C2211yescharacteristic, complemented
64C2×#66997C2211yescharacteristic, complemented
65C2×#66997C2211yescharacteristic, complemented
66#10623337C22116yescomplemented
67C2×#66992C2211yescharacteristic
68C2×#66992C2211yescharacteristic
69C2×#66992C2211yescharacteristic
70C2×#66992C2211yescharacteristic, complemented
71C2×#66992C2211yescharacteristic, complemented
72C2×#66991C2211yescharacteristic
73C2×#66991C2211yescharacteristic, complemented
74C2×#66989C2211yescharacteristic
75C2×#66989C2211yescharacteristic, complemented
76C2×#66989C2211yescharacteristic, complemented
77C2×#66989C2211yescharacteristic, complemented
78C2×#66988C2211yescharacteristic
79C2×#66988C2211yescharacteristic
80C2×#66988C2211yescharacteristic
81C2×#66988C2211yescharacteristic
82C2×#66988C2211yescharacteristic
83C2×#66988C2211yescharacteristic
84C2×#66988C2211yescharacteristic
85C2×#66988C2211yescharacteristic
86C2×#66988C2211yescharacteristic
87C2×#66988C2211yescharacteristic
88C2×#66988C2211yescharacteristic
89C2×#66988C22116yescomplemented
90C2×#66988C2211yescharacteristic, complemented
91C2×#66988C2211yescharacteristic, complemented
92C2×#66988C2211yescharacteristic, complemented
93C2×#66988C2211yescharacteristic, complemented
94C2×#66988C2211yescharacteristic, complemented
95C2×#66988C2211yescharacteristic, complemented
96C2×D4×Dic11C2211yescharacteristic
97C2×D4×Dic11C2211yescharacteristic
98C2×D4×Dic11C2211yescharacteristic
99C2×D4×Dic11C2211yescharacteristic, complemented
100C2×D4×Dic11C2211yescharacteristic, complemented
101C2×D4×Dic11C2211yescharacteristic, complemented
102C2×#66982C2211yescharacteristic, complemented
103C2×#66982C2211yescharacteristic, complemented
104C2×#66982C2211yescharacteristic, complemented
105C2×C4×C22⋊D11C2211yescharacteristic
106C2×C4×C22⋊D11C2211yescharacteristic, complemented
107C2×C4×C22⋊D11C2211yescharacteristic, complemented
108C2×#66979C2211yescharacteristic, complemented
109C2×#66979C2211yescharacteristic, complemented
110C22×C4⋊Dic11C2211yescharacteristic, complemented
111C2×#66977C2211yescharacteristic
112C2×#66977C2211yescharacteristic, complemented
113C2×#66977C2211yescharacteristic, complemented
114C2×#66977C2211yescharacteristic, complemented
115C2×#66977C2211yescharacteristic, complemented
116C2×#66977C2211yescharacteristic, complemented
117C2×#66977C2211yescharacteristic, complemented
118C2×#66977C2211yescharacteristic, complemented
119C2×#66977C2211yescharacteristic, complemented
120C22×Dic11⋊C4C2211yescharacteristic
121C22×Dic11⋊C4C2211yescharacteristic
122C22×Dic11⋊C4C2211yescharacteristic, complemented
123C22×Dic11⋊C4C2211yescharacteristic, complemented
124C22×Dic11⋊C4C2211yescharacteristic, complemented
125#10623203C22116yescomplemented
126#10623200C22116yescomplemented
127#10623191C22116yescomplemented
128#10623182C22116yescomplemented
129#10623181C22116yescomplemented
130#10623179C22116yescomplemented
131#10623167C22116yescomplemented
132#10623154C22116yescomplemented
133#10623152C22116yescomplemented
134#10623152C22116yescomplemented
135#10623142C22116yescomplemented
136#10623134C22116yescomplemented
137#10623133C22116yescomplemented
138#10623133C22116yescomplemented
139#10623124C22116yescomplemented
140#10623118C22116yescomplemented
141#10623118C22116yescomplemented
142#10623117C22116yescomplemented
143#10623095C22116yescomplemented
144#10623095C22116yescomplemented
145#10623072C22116yescomplemented
146#10623070C22116yescomplemented
147C2×#66949C2211yescharacteristic, complemented
148C2×#66949C2211yescharacteristic, complemented
149C2×#66949C2211yescharacteristic, complemented
150C2×C4⋊C4×D11C2211yescharacteristic, complemented
151C2×#66943C2211yescharacteristic, complemented
152C2×#66942C2211yescharacteristic, complemented
153C2×#66942C2211yescharacteristic, complemented
154C2×#66942C2211yescharacteristic, complemented
155C2×#66942C2211yescharacteristic, complemented
156C2×#66942C2211yescharacteristic, complemented
157C2×#66942C2211yescharacteristic, complemented
158C2×#66942C2211yescharacteristic, complemented
159C2×#66941C2211yescharacteristic, complemented
160C2×#66941C2211yescharacteristic, complemented
161C2×#66941C2211yescharacteristic, complemented
162C2×#66940C2211yescharacteristic, complemented
163#10623026C22116yescomplemented
164#10623026C22116yescomplemented
165C2×#66939C2211yescharacteristic
166C2×#66939C2211yescharacteristic, complemented
167C2×#66938C2211yescharacteristic, complemented
168C2×#66938C2211yescharacteristic, complemented
169C2×#66938C2211yescharacteristic, complemented
170C2×#66936C2211yescharacteristic, complemented
171C2×#66936C2211yescharacteristic, complemented
172C2×#66936C2211yescharacteristic, complemented
173C2×#66936C2211yescharacteristic, complemented
174C2×(C22⋊D11)⋊C4C2211yescharacteristic
175C2×(C22⋊D11)⋊C4C2211yescharacteristic
176C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
177#10623014C22116yescomplemented
178C2×#66932C2211yescharacteristic, complemented
179C2×#66932C2211yescharacteristic, complemented
180C2×#66932C2211yescharacteristic, complemented
181C2×#66932C2211yescharacteristic, complemented
182C2×#66932C2211yescharacteristic, complemented
183C2×#66932C2211yescharacteristic, complemented
184C2×#66932C2211yescharacteristic, complemented
185C2×#66932C2211yescharacteristic, complemented
186C2×#66932C2211yescharacteristic, complemented
187C2×#66932C2211yescharacteristic, complemented
188C2×#66932C2211yescharacteristic, complemented
189C2×#66931C2211yescharacteristic
190C2×#66931C2211yescharacteristic
191C2×#66931C2211yescharacteristic
192C2×#66931C2211yescharacteristic
193C2×#66931C2211yescharacteristic
194C2×#66931C2211yescharacteristic
195C2×#66931C2211yescharacteristic
196C2×#66931C22116yescomplemented
197C2×#66931C2211yescharacteristic, complemented
198C2×#66931C2211yescharacteristic, complemented
199C2×#66931C2211yescharacteristic, complemented
200C2×#66931C2211yescharacteristic, complemented
201C2×#66931C2211yescharacteristic, complemented
202C2×#66931C2211yescharacteristic, complemented
203C2×#66931C2211yescharacteristic, complemented
204C2×#66931C2211yescharacteristic, complemented
205C2×#66931C2211yescharacteristic, complemented
206C2×#66931C2211yescharacteristic, complemented
207C2×#66931C2211yescharacteristic, complemented
208C2×#66931C2211yescharacteristic, complemented
209C2×#66931C2211yescharacteristic, complemented
210C2×#66930C2211yescharacteristic
211C2×#66930C2211yescharacteristic
212C2×#66930C2211yescharacteristic, complemented
213C2×#66930C2211yescharacteristic, complemented
214C2×#66930C2211yescharacteristic, complemented
215C2×#66929C2211yescharacteristic, complemented
216C2×#66923C2211yescharacteristic, complemented
217C2×#66923C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C25×C11C2311yescharacteristic
220C25×C11C2311yescharacteristic
221C2×C11×#41—44no—
222C2×C11×#41C2318yes—
223C22×Q8×C11C2311yescharacteristic
224C22×D4×C11—44no—
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C22×D4×C11C2311yescharacteristic
231C22×D4×C11C2311yescharacteristic
232C22×D4×C11C2311yescharacteristic
233C22×D4×C11C2318yes—
234C22×D4×C11C2311yescharacteristic
235C23×C4×C11C2311yescharacteristic
236C23×C4×C11C2311yescharacteristic
237C23×C4×C11C2311yescharacteristic
238C23×C4×C11C2311yescharacteristic
239C23×C4×C11C2311yescharacteristic
240C23×C4×C11C2311yescharacteristic
241C22×C22⋊D11C2311yescharacteristic
242C22×C22⋊D11C2311yescharacteristic
243C22×C22⋊D11C2311yescharacteristic
244C22×C22⋊D11C2311yescharacteristic
245C22×C22⋊D11C2311yescharacteristic
246C22×C22⋊D11C2311yescharacteristic
247C23×Dic11—44no—
248C23×Dic11C2311yescharacteristic
249C23×Dic11C2311yescharacteristic
250C23×Dic11C2311yescharacteristic
251C23×Dic11C2311yescharacteristic
252C23×Dic11C2311yescharacteristic
253C23×Dic11C2311yescharacteristic
254C23×Dic11C2311yescharacteristic
255C23×Dic11C2311yescharacteristic
256C23×Dic11C2311yescharacteristic
257C23×Dic11C2311yescharacteristic
258C23×Dic11C2311yescharacteristic
259C23×Dic11C2318yes—
260C23×Dic11C2311yescharacteristic
261C23×Dic11C2311yescharacteristic
262C23×Dic11C2311yescharacteristic
263C2×#4341—44no—
264C2×#4341—44no—
265C2×#4341C2318yes—
266C2×#4341C2318yescomplemented
267C22×C4×D11C2311yescharacteristic
268C22×C4×D11C2311yescharacteristic
269C22×C4×D11C2311yescharacteristic
270C22×Dic22—44no—
271C22×Dic22C2311yescharacteristic
272C22×Dic22C2311yescharacteristic
273C22×Dic22C2311yescharacteristic
274C22×Dic22C2311yescharacteristic
275C22×Dic22C2311yescharacteristic
276C22×Dic22C2311yescharacteristic
277C22×Dic22C2311yescharacteristic
278C22×Dic22C2311yescharacteristic
279C22×Dic22C2318yescomplemented
280C11×#124C2318yes—
281C11×#123C2318yes—
282C11×#123C2318yes—
283C11×C22⋊Q8C2318yes—
284C11×#121C2318yes—
285C11×#121C2318yes—
286C11×#121C2318yes—
287C11×#120C2318yes—
288C11×#120C2318yes—
289C4×D4×C11C2318yes—
290C4×D4×C11C2318yes—
291C2×C11×C4⋊C4C2311yescharacteristic
292C2×C11×C4⋊C4C2311yescharacteristic
293C2×C11×C4⋊C4C2311yescharacteristic
294C2×C11×C4⋊C4C2311yescharacteristic
295C2×C11×C22⋊C4C2311yescharacteristic
296C2×C11×C22⋊C4C2311yescharacteristic
297C2×C11×C22⋊C4C2311yescharacteristic
298C2×C11×C22⋊C4C2311yescharacteristic
299C2×C11×C22⋊C4C2311yescharacteristic
300C2×C11×C22⋊C4C2311yescharacteristic
301C2×C11×C22⋊C4C2311yescharacteristic
302C2×C11×C22⋊C4C2311yescharacteristic
303C2×C11×C22⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4C2311yescharacteristic
305C2×C11×C22⋊C4C2318yes—
306C2×C11×C22⋊C4C2311yescharacteristic
307C2×C11×C22⋊C4C2311yescharacteristic
308C2×C11×C22⋊C4C2318yes—
309C2×C42×C11C2311yescharacteristic
310#67006C2318yes—
311#67006C2318yes—
312C2×C22⋊Dic11C2311yescharacteristic
313C2×C22⋊Dic11C2311yescharacteristic
314C2×C22⋊Dic11C2311yescharacteristic
315C2×C22⋊Dic11C2311yescharacteristic
316C2×C22⋊Dic11C2311yescharacteristic
317C2×C22⋊Dic11C2311yescharacteristic
318C2×C22⋊Dic11C2311yescharacteristic
319C2×C22⋊Dic11C2311yescharacteristic
320C2×C22⋊Dic11C2311yescharacteristic
321C2×C22⋊Dic11C2311yescharacteristic
322C2×C22⋊Dic11C2318yes—
323C2×C22⋊Dic11C2311yescharacteristic
324C2×C22⋊Dic11C2311yescharacteristic
325C2×C22⋊Dic11C2311yescharacteristic
326C2×C22⋊Dic11C2311yescharacteristic
327C2×C22⋊Dic11C2311yescharacteristic
328C2×C22⋊Dic11C2311yescharacteristic
329C2×C22⋊Dic11C2311yescharacteristic
330C2×C22⋊Dic11C2311yescharacteristic
331C2×C22⋊Dic11C2311yescharacteristic
332C2×C22⋊Dic11C2311yescharacteristic
333C2×C22⋊Dic11C2311yescharacteristic
334C2×C22⋊Dic11C2311yescharacteristic
335C2×C22⋊Dic11C2311yescharacteristic
336C2×C22⋊Dic11C2311yescharacteristic
337C2×C22⋊Dic11C2311yescharacteristic
338C2×C22⋊Dic11C2311yescharacteristic
339C2×C22⋊Dic11C2318yes—
340C2×C22⋊Dic11C2318yes—
341C2×C22⋊Dic11C2311yescharacteristic
342C2×C22⋊Dic11C2311yescharacteristic
343C2×C22⋊Dic11C2318yes—
344C2×C22⋊Dic11C2318yes—
345#66999C2318yescomplemented
346#66997C2318yescomplemented
347#66997C2318yescomplemented
348#66997C2318yescomplemented
349#66992C2318yes—
350#66992C2318yes—
351#66992C2318yes—
352#66992C2318yescomplemented
353#66992C2318yescomplemented
354#66991C2318yes—
355#66991C2318yescomplemented
356#66989C2318yes—
357#66989C2318yescomplemented
358#66989C2318yescomplemented
359#66989C2318yescomplemented
360#66988C2318yes—
361#66988C2318yes—
362#66988C2318yes—
363#66988C2318yes—
364#66988C2318yes—
365#66988C2318yes—
366#66988C2318yes—
367#66988C2318yes—
368#66988C2318yes—
369#66988C2318yes—
370#66988C2318yes—
371#66988C2318yescomplemented
372#66988C2318yescomplemented
373#66988C2318yescomplemented
374#66988C2318yescomplemented
375#66988C2318yescomplemented
376#66988C2318yescomplemented
377D4×Dic11C2318yes—
378D4×Dic11C2318yes—
379D4×Dic11C2318yes—
380D4×Dic11C2318yescomplemented
381D4×Dic11C2318yescomplemented
382D4×Dic11C2318yescomplemented
383#66982C2318yescomplemented
384#66982C2318yescomplemented
385#66982C2318yescomplemented
386C4×C22⋊D11C2318yes—
387C4×C22⋊D11C2318yescomplemented
388C4×C22⋊D11C2318yescomplemented
389C2×(C2×D11)⋊C4C2311yescharacteristic
390C2×(C2×D11)⋊C4C2311yescharacteristic
391C2×(C2×D11)⋊C4C2311yescharacteristic
392C2×(C2×D11)⋊C4C2311yescharacteristic
393C2×(C2×D11)⋊C4C2311yescharacteristic
394C2×(C2×D11)⋊C4C2311yescharacteristic
395#66979C2318yescomplemented
396#66979C2318yescomplemented
397C2×C4⋊Dic11C2311yescharacteristic
398C2×C4⋊Dic11C2311yescharacteristic
399C2×C4⋊Dic11C2311yescharacteristic
400C2×C4⋊Dic11C2311yescharacteristic
401C2×C4⋊Dic11C2311yescharacteristic
402C2×C4⋊Dic11C2311yescharacteristic
403C2×C4⋊Dic11C2311yescharacteristic
404C2×C4⋊Dic11C2311yescharacteristic
405C2×C4⋊Dic11C2311yescharacteristic
406C2×C4⋊Dic11C2311yescharacteristic
407C2×C4⋊Dic11C2311yescharacteristic
408C2×C4⋊Dic11C2311yescharacteristic
409C2×C4⋊Dic11C2318yescomplemented
410#66977C2318yes—
411#66977C2318yescomplemented
412#66977C2318yescomplemented
413#66977C2318yescomplemented
414#66977C2318yescomplemented
415#66977C2318yescomplemented
416#66977C2318yescomplemented
417#66977C2318yescomplemented
418#66977C2318yescomplemented
419C2×Dic11⋊C4C2311yescharacteristic
420C2×Dic11⋊C4C2311yescharacteristic
421C2×Dic11⋊C4C2311yescharacteristic
422C2×Dic11⋊C4C2311yescharacteristic
423C2×Dic11⋊C4C2311yescharacteristic
424C2×Dic11⋊C4C2311yescharacteristic
425C2×Dic11⋊C4C2311yescharacteristic
426C2×Dic11⋊C4C2311yescharacteristic
427C2×Dic11⋊C4C2311yescharacteristic
428C2×Dic11⋊C4C2311yescharacteristic
429C2×Dic11⋊C4C2311yescharacteristic
430C2×Dic11⋊C4C2311yescharacteristic
431C2×Dic11⋊C4C2311yescharacteristic
432C2×Dic11⋊C4C2311yescharacteristic
433C2×Dic11⋊C4C2311yescharacteristic
434C2×Dic11⋊C4C2311yescharacteristic
435C2×Dic11⋊C4C2311yescharacteristic
436C2×Dic11⋊C4C2311yescharacteristic
437C2×Dic11⋊C4C2311yescharacteristic
438C2×Dic11⋊C4C2311yescharacteristic
439C2×Dic11⋊C4C2311yescharacteristic
440C2×Dic11⋊C4C2311yescharacteristic
441C2×Dic11⋊C4C2311yescharacteristic
442C2×Dic11⋊C4C2311yescharacteristic
443C2×Dic11⋊C4C2311yescharacteristic
444C2×Dic11⋊C4C2311yescharacteristic
445C2×Dic11⋊C4C2311yescharacteristic
446C2×Dic11⋊C4C2311yescharacteristic
447C2×Dic11⋊C4C2311yescharacteristic
448C2×Dic11⋊C4C2311yescharacteristic
449C2×Dic11⋊C4C2311yescharacteristic
450C2×Dic11⋊C4C2311yescharacteristic
451C2×Dic11⋊C4C2311yescharacteristic
452C2×Dic11⋊C4C2311yescharacteristic
453C2×Dic11⋊C4C2318yes—
454C2×Dic11⋊C4C2318yes—
455C2×Dic11⋊C4C2318yescomplemented
456C2×Dic11⋊C4C2318yescomplemented
457C2×Dic11⋊C4C2318yescomplemented
458C2×C4×Dic11C2311yescharacteristic
459C2×C4×Dic11C2311yescharacteristic
460C2×C4×Dic11C2311yescharacteristic
461C2×C4×Dic11C2311yescharacteristic
462C2×C4×Dic11C2311yescharacteristic
463C2×C4×Dic11C2311yescharacteristic
464C2×C4×Dic11C2311yescharacteristic
465C2×C4×Dic11C2311yescharacteristic
466C2×C4×Dic11C2311yescharacteristic
467#66949C2318yescomplemented
468#66949C2318yescomplemented
469#66949C2318yescomplemented
470C4⋊C4×D11C2318yescomplemented
471#66943C2318yescomplemented
472#66942C2318yescomplemented
473#66942C2318yescomplemented
474#66942C2318yescomplemented
475#66942C2318yescomplemented
476#66942C2318yescomplemented
477#66942C2318yescomplemented
478#66942C2318yescomplemented
479#66941C2318yescomplemented
480#66941C2318yescomplemented
481#66941C2318yescomplemented
482#66940C2318yescomplemented
483#66939C2318yes—
484#66939C2318yescomplemented
485#66938C2318yescomplemented
486#66938C2318yescomplemented
487#66938C2318yescomplemented
488#66936C2318yescomplemented
489#66936C2318yescomplemented
490#66936C2318yescomplemented
491#66936C2318yescomplemented
492(C22⋊D11)⋊C4C2318yes—
493(C22⋊D11)⋊C4C2318yes—
494(C22⋊D11)⋊C4C2318yescomplemented
495#66932C2318yescomplemented
496#66932C2318yescomplemented
497#66932C2318yescomplemented
498#66932C2318yescomplemented
499#66932C2318yescomplemented
500#66932C2318yescomplemented
501#66932C2318yescomplemented
502#66932C2318yescomplemented
503#66932C2318yescomplemented
504#66932C2318yescomplemented
505#66932C2318yescomplemented
506#66931C2318yes—
507#66931C2318yes—
508#66931C2318yes—
509#66931C2318yes—
510#66931C2318yes—
511#66931C2318yes—
512#66931C2318yes—
513#66931C2318yescomplemented
514#66931C2318yescomplemented
515#66931C2318yescomplemented
516#66931C2318yescomplemented
517#66931C2318yescomplemented
518#66931C2318yescomplemented
519#66931C2318yescomplemented
520#66931C2318yescomplemented
521#66931C2318yescomplemented
522#66931C2318yescomplemented
523#66931C2318yescomplemented
524#66931C2318yescomplemented
525#66931C2318yescomplemented
526#66930C2318yes—
527#66930C2318yes—
528#66930C2318yescomplemented
529#66930C2318yescomplemented
530#66930C2318yescomplemented
531#66929C2318yescomplemented
532#66923C2318yescomplemented
533#66923C2318yescomplemented
534C4×Dic22C2318yescomplemented
535C2×#3535—111nomaximal, Sylow
536C24×C11—24no—
537C24×C11—24no—
538C24×C11—24no—
539C24×C11—42no—
540C24×C11—42no—
541C24×C11—42no—
542C24×C11C2411yescharacteristic
543C24×C11C2411yescharacteristic
544C24×C11C2411yescharacteristic
545C24×C11C2411yescharacteristic
546C24×C11C2414yes—
547C24×C11C2411yescharacteristic
548C24×C11C2411yescharacteristic
549C24×C11C2414yes—
550C23×D11C2411yescharacteristic
551C11×#41—416no—
552C2×Q8×C11—42no—
553C2×Q8×C11C2414yes—
554C2×D4×C11—24no—
555C2×D4×C11—24no—
556C2×D4×C11—24no—
557C2×D4×C11—24no—
558C2×D4×C11—42no—
559C2×D4×C11—42no—
560C2×D4×C11—42no—
561C2×D4×C11—42no—
562C2×D4×C11—42no—
563C2×D4×C11—416no—
564C2×D4×C11C2414yes—
565C2×D4×C11C2414yes—
566C2×D4×C11C2414yes—
567C2×D4×C11C2414yes—
568C2×D4×C11C2414yes—
569C2×D4×C11C2414yes—
570C2×D4×C11C2414yes—
571C2×D4×C11C2414yes—
572C2×D4×C11C2414yes—
573C22×C4×C11—24no—
574C22×C4×C11—42no—
575C22×C4×C11—42no—
576C22×C4×C11—42no—
577C22×C4×C11—42no—
578C22×C4×C11—42no—
579C22×C4×C11C2411yescharacteristic
580C22×C4×C11C2411yescharacteristic
581C22×C4×C11C2411yescharacteristic
582C22×C4×C11C2411yescharacteristic
583C22×C4×C11C2411yescharacteristic
584C22×C4×C11C2411yescharacteristic
585C22×C4×C11C2411yescharacteristic
586C22×C4×C11C2411yescharacteristic
587C22×C4×C11C2411yescharacteristic
588C22×C4×C11C2414yes—
589C22×C4×C11C2414yes—
590C22×C4×C11C2414yes—
591C22×C4×C11C2414yes—
592C22×C4×C11C2414yes—
593C22×C4×C11C2414yes—
594C2×C22⋊D11—24no—
595C2×C22⋊D11—24no—
596C2×C22⋊D11—42no—
597C2×C22⋊D11—42no—
598C2×C22⋊D11—42no—
599C2×C22⋊D11—42no—
600C2×C22⋊D11C2414yes—
601C2×C22⋊D11C2414yes—
602C2×C22⋊D11C2414yes—
603C2×C22⋊D11C2414yes—
604C2×C22⋊D11C2414yes—
605C2×C22⋊D11C2414yes—
606C22×Dic11—24no—
607C22×Dic11—24no—
608C22×Dic11—24no—
609C22×Dic11—24no—
610C22×Dic11—42no—
611C22×Dic11—42no—
612C22×Dic11—42no—
613C22×Dic11—42no—
614C22×Dic11—42no—
615C22×Dic11—42no—
616C22×Dic11—416no—
617C22×Dic11—42no—
618C22×Dic11—42no—
619C22×Dic11—42no—
620C22×Dic11—42no—
621C22×Dic11C2414yes—
622C22×Dic11C2414yes—
623C22×Dic11C2414yes—
624C22×Dic11C2414yes—
625C22×Dic11C2411yescharacteristic
626C22×Dic11C2411yescharacteristic
627C22×Dic11C2411yescharacteristic
628C22×Dic11C2411yescharacteristic
629C22×Dic11C2411yescharacteristic
630C22×Dic11C2411yescharacteristic
631C22×Dic11C2411yescharacteristic
632C22×Dic11C2411yescharacteristic
633C22×Dic11C2411yescharacteristic
634C22×Dic11C2411yescharacteristic
635C22×Dic11C2411yescharacteristic
636C22×Dic11C2411yescharacteristic
637C22×Dic11C2411yescharacteristic
638C22×Dic11C2411yescharacteristic
639C22×Dic11C2411yescharacteristic
640C22×Dic11C2414yes—
641C22×Dic11C2414yes—
642C22×Dic11C2414yes—
643C22×Dic11C2414yes—
644C22×Dic11C2414yes—
645C22×Dic11C2414yes—
646C22×Dic11C2414yes—
647C22×Dic11C2414yes—
648C22×Dic11C2414yes—
649C22×Dic11C2414yes—
650#4341—416no—
651#4341—416no—
652C2×C4×D11—42no—
653C2×C4×D11—42no—
654C2×C4×D11—42no—
655C2×C4×D11C2414yes—
656C2×C4×D11C2414yes—
657C2×C4×D11C2414yes—
658C2×Dic22—42no—
659C2×Dic22—42no—
660C2×Dic22—42no—
661C2×Dic22—42no—
662C2×Dic22—416no—
663C2×Dic22—42no—
664C2×Dic22—42no—
665C2×Dic22—42no—
666C2×Dic22—42no—
667C2×Dic22C2414yes—
668C2×Dic22C2414yes—
669C2×Dic22C2414yes—
670C2×Dic22C2414yes—
671C2×Dic22C2414yes—
672C2×Dic22C2414yes—
673C2×Dic22C2414yes—
674C2×Dic22C2414yes—
675C11×C4⋊C4C2414yes—
676C11×C4⋊C4C2414yes—
677C11×C4⋊C4C2414yes—
678C11×C4⋊C4C2414yes—
679C11×C22⋊C4C2414yes—
680C11×C22⋊C4C2414yes—
681C11×C22⋊C4C2414yes—
682C11×C22⋊C4C2414yes—
683C11×C22⋊C4C2414yes—
684C11×C22⋊C4C2414yes—
685C11×C22⋊C4C2414yes—
686C11×C22⋊C4C2414yes—
687C11×C22⋊C4C2414yes—
688C11×C22⋊C4C2414yes—
689C11×C22⋊C4C2414yes—
690C11×C22⋊C4C2414yes—
691C42×C11C2414yes—
692C22⋊Dic11C2414yes—
693C22⋊Dic11C2414yes—
694C22⋊Dic11C2414yes—
695C22⋊Dic11C2414yes—
696C22⋊Dic11C2414yes—
697C22⋊Dic11C2414yes—
698C22⋊Dic11C2414yes—
699C22⋊Dic11C2414yes—
700C22⋊Dic11C2414yes—
701C22⋊Dic11C2414yes—
702C22⋊Dic11C2414yes—
703C22⋊Dic11C2414yes—
704C22⋊Dic11C2414yes—
705C22⋊Dic11C2414yes—
706C22⋊Dic11C2414yes—
707C22⋊Dic11C2414yes—
708C22⋊Dic11C2414yes—
709C22⋊Dic11C2414yes—
710C22⋊Dic11C2414yes—
711C22⋊Dic11C2414yes—
712C22⋊Dic11C2414yes—
713C22⋊Dic11C2414yes—
714C22⋊Dic11C2414yes—
715C22⋊Dic11C2414yes—
716C22⋊Dic11C2414yes—
717C22⋊Dic11C2414yes—
718C22⋊Dic11C2414yes—
719C22⋊Dic11C2414yes—
720(C2×D11)⋊C4C2414yes—
721(C2×D11)⋊C4C2414yes—
722(C2×D11)⋊C4C2414yes—
723(C2×D11)⋊C4C2414yes—
724(C2×D11)⋊C4C2414yes—
725(C2×D11)⋊C4C2414yes—
726C4⋊Dic11C2414yes—
727C4⋊Dic11C2414yes—
728C4⋊Dic11C2414yes—
729C4⋊Dic11C2414yes—
730C4⋊Dic11C2414yes—
731C4⋊Dic11C2414yes—
732C4⋊Dic11C2414yes—
733C4⋊Dic11C2414yes—
734C4⋊Dic11C2414yes—
735C4⋊Dic11C2414yes—
736C4⋊Dic11C2414yes—
737C4⋊Dic11C2414yes—
738Dic11⋊C4C2414yes—
739Dic11⋊C4C2414yes—
740Dic11⋊C4C2414yes—
741Dic11⋊C4C2414yes—
742Dic11⋊C4C2414yes—
743Dic11⋊C4C2414yes—
744Dic11⋊C4C2414yes—
745Dic11⋊C4C2414yes—
746Dic11⋊C4C2414yes—
747Dic11⋊C4C2414yes—
748Dic11⋊C4C2414yes—
749Dic11⋊C4C2414yes—
750Dic11⋊C4C2414yes—
751Dic11⋊C4C2414yes—
752Dic11⋊C4C2414yes—
753Dic11⋊C4C2414yes—
754Dic11⋊C4C2414yes—
755Dic11⋊C4C2414yes—
756Dic11⋊C4C2414yes—
757Dic11⋊C4C2414yes—
758Dic11⋊C4C2414yes—
759Dic11⋊C4C2414yes—
760Dic11⋊C4C2414yes—
761Dic11⋊C4C2414yes—
762Dic11⋊C4C2414yes—
763Dic11⋊C4C2414yes—
764Dic11⋊C4C2414yes—
765Dic11⋊C4C2414yes—
766Dic11⋊C4C2414yes—
767Dic11⋊C4C2414yes—
768Dic11⋊C4C2414yes—
769Dic11⋊C4C2414yes—
770Dic11⋊C4C2414yes—
771Dic11⋊C4C2414yes—
772C4×Dic11C2414yes—
773C4×Dic11C2414yes—
774C4×Dic11C2414yes—
775C4×Dic11C2414yes—
776C4×Dic11C2414yes—
777C4×Dic11C2414yes—
778C4×Dic11C2414yes—
779C4×Dic11C2414yes—
780C4×Dic11C2414yes—
781#3535—1132no—
782C2×#563—111no—
783C2×#563—111no—
784C2×#562—111no—
785C2×#562—111no—
786C2×#554—111no—
787C2×#554—111no—
788C2×#552—111no—
789C2×#552—111no—
790C2×#551—111no—
791C2×#551—111no—
792C2×#551—111no—
793C2×#551—111no—
794C2×#547—111no—
795C2×#547—111no—
796C2×#546—111no—
797C2×#546D1111yescharacteristic, complemented
798C2×#544—111no—
799C2×#543—111no—
800C2×#542—111no—
801C2×#542—111no—
802C2×#539—111no—
803C2×#539—111no—
804C2×#539—111no—
805C2×#539—111no—
806C2×#539—111no—
807C2×#538—111no—
808C2×#536—111no—
809C2×#536—111no—
810C2×#525—111no—
811C22×#123—111no—
812C22×C22⋊Q8—111no—
813C23×C11—22no—
814C23×C11—22no—
815C23×C11—22no—
816C23×C11—22no—
817C23×C11—28no—
818C23×C11—22no—
819C23×C11—22no—
820C23×C11—22no—
821C23×C11—22no—
822C23×C11—22no—
823C23×C11—28no—
824C23×C11—22no—
825C23×C11—22no—
826C23×C11—22no—
827C23×C11—22no—
828C23×C11—22no—
829C23×C11—22no—
830C23×C11—22no—
831C23×C11—28no—
832C23×C11—44no—
833C23×C11—44no—
834C23×C11—44no—
835C23×C11—416no—
836C23×C11—88no—
837C23×C11H(5,𝔽2)14yes—
838C23×C112−1+414yes—
839C23×C11C2512yes—
840C23×C11C2512yes—
841C23×C11C2512yes—
842C23×C11C2512yes—
843C23×C11C2512yes—
844C23×C11C2512yes—
845C23×C11C2511yescharacteristic
846C22×D11—22no—
847C22×D11—22no—
848C22×D11—22no—
849C22×D11C2512yes—
850Q8×C11—44no—
851D4×C11—28no—
852D4×C11—28no—
853D4×C11—28no—
854D4×C11—28no—
855D4×C11—44no—
856D4×C11—44no—
857D4×C11—44no—
858D4×C11—44no—
859D4×C11—44no—
860C2×C4×C11—22no—
861C2×C4×C11—22no—
862C2×C4×C11—28no—
863C2×C4×C11—22no—
864C2×C4×C11—22no—
865C2×C4×C11—22no—
866C2×C4×C11—22no—
867C2×C4×C11—22no—
868C2×C4×C11—22no—
869C2×C4×C11—22no—
870C2×C4×C11—44no—
871C2×C4×C11—44no—
872C2×C4×C11—44no—
873C2×C4×C11—44no—
874C2×C4×C11—44no—
875C2×C4×C11C2512yes—
876C2×C4×C11C2512yes—
877C2×C4×C11C2512yes—
878C2×C4×C11C2512yes—
879C2×C4×C11C2512yes—
880C2×C4×C11C2512yes—
881C2×C4×C11C2512yes—
882C2×C4×C11C2512yes—
883C2×C4×C11C2512yes—
884C22⋊D11—28no—
885C22⋊D11—28no—
886C22⋊D11—44no—
887C22⋊D11—44no—
888C22⋊D11—44no—
889C22⋊D11—44no—
890C2×Dic11—22no—
891C2×Dic11—22no—
892C2×Dic11—28no—
893C2×Dic11—28no—
894C2×Dic11—22no—
895C2×Dic11—22no—
896C2×Dic11—22no—
897C2×Dic11—22no—
898C2×Dic11—22no—
899C2×Dic11—28no—
900C2×Dic11—28no—
901C2×Dic11—22no—
902C2×Dic11—22no—
903C2×Dic11—22no—
904C2×Dic11—22no—
905C2×Dic11—22no—
906C2×Dic11—22no—
907C2×Dic11—22no—
908C2×Dic11—22no—
909C2×Dic11—44no—
910C2×Dic11—44no—
911C2×Dic11—44no—
912C2×Dic11—44no—
913C2×Dic11—44no—
914C2×Dic11—44no—
915C2×Dic11—44no—
916C2×Dic11—44no—
917C2×Dic11—44no—
918C2×Dic11—44no—
919C2×Dic11C2512yes—
920C2×Dic11C2512yes—
921C2×Dic11C2512yes—
922C2×Dic11C2512yes—
923C2×Dic11C2512yes—
924C2×Dic11C2512yes—
925C2×Dic11C2512yes—
926C2×Dic11C2512yes—
927C2×Dic11C2512yes—
928C2×Dic11C2512yes—
929C2×Dic11C2512yes—
930C2×Dic11C2512yes—
931C2×Dic11C2512yes—
932C2×Dic11C2512yes—
933C2×Dic11C2512yes—
934C4×D11—44no—
935C4×D11—44no—
936C4×D11—44no—
937Dic22—44no—
938Dic22—44no—
939Dic22—44no—
940Dic22—44no—
941Dic22—44no—
942Dic22—44no—
943Dic22—44no—
944Dic22—44no—
945C22×#41—111no—
946C22×#41—111no—
947C22×#41C2×D1111yescharacteristic
948C23×Q8—111no—
949C23×D4C2×D1111yescharacteristic
950C24×C4—111no—
951#563—1116no—
952#563—1116no—
953#562—1116no—
954#562—1116no—
955#554—1116no—
956#554—1116no—
957#552—1116no—
958#552—1116no—
959#551—1116no—
960#551—1116no—
961#551—1116no—
962#551—1116no—
963#547—1116no—
964#547—1116no—
965#546—1116no—
966#546C2×D11116yescomplemented
967#544—1116no—
968#543—1116no—
969#542—1116no—
970#542—1116no—
971#539—1116no—
972#539—1116no—
973#539—1116no—
974#539—1116no—
975#539—1116no—
976#538—1116no—
977#536—1116no—
978#536—1116no—
979C2×C4⋊Q8—111no—
980C2×C4⋊Q8—111no—
981C2×C4⋊Q8—111no—
982C2×C4⋊Q8—111no—
983C2×C4⋊Q8—111no—
984C2×C4⋊Q8—111no—
985C2×#126—111no—
986C2×#126—111no—
987C2×#126—111no—
988C2×#126—111no—
989C2×#126—111no—
990C2×#126—111no—
991C2×#126—111no—
992C2×#126—111no—
993C2×#126—111no—
994C2×#126—111no—
995C2×#126—111no—
996C2×#126—111no—
997C2×#125—111no—
998C2×#125—111no—
999C2×#125—111no—
1000C2×#125—111no—
1001C2×#125—111no—
1002C2×#125—111no—
1003C2×#125—111no—
1004C2×#125—111no—
1005C2×#125—111no—
1006C2×#125—111no—
1007C2×#124—111no—
1008C2×#124—111no—
1009C2×#124—111no—
1010C2×#124—111no—
1011C2×#124—111no—
1012C2×#124—111no—
1013C2×#124—111no—
1014C2×#124C2×D1111yescharacteristic
1015#525—1116no—
1016C2×#123—111no—
1017C2×#123—111no—
1018C2×#123—111no—
1019C2×#123—111no—
1020C2×#123—111no—
1021C2×#123—111no—
1022C2×#123—111no—
1023C2×#123—111no—
1024C2×#123—111no—
1025C2×#123—111no—
1026C2×#123—111no—
1027C2×#123—1116no—
1028C2×#123—111no—
1029C2×#123—111no—
1030C2×#123—111no—
1031C2×#123—111no—
1032C2×#123—111no—
1033C2×#123—111no—
1034C2×#123—111no—
1035C2×#123—111no—
1036C2×#123—111no—
1037C2×#123—111no—
1038C2×#123—111no—
1039C2×#123—111no—
1040C2×#123—111no—
1041C2×#123—111no—
1042C2×#123—111no—
1043C2×#123C2×D1111yescharacteristic
1044C2×#123C2×D1111yescharacteristic
1045C2×C22⋊Q8—111no—
1046C2×C22⋊Q8—111no—
1047C2×C22⋊Q8—111no—
1048C2×C22⋊Q8—111no—
1049C2×C22⋊Q8—111no—
1050C2×C22⋊Q8—111no—
1051C2×C22⋊Q8—111no—
1052C2×C22⋊Q8—111no—
1053C2×C22⋊Q8—111no—
1054C2×C22⋊Q8—111no—
1055C2×C22⋊Q8—111no—
1056C2×C22⋊Q8—111no—
1057C2×C22⋊Q8—111no—
1058C2×C22⋊Q8—111no—
1059C2×C22⋊Q8—111no—
1060C2×C22⋊Q8—111no—
1061C2×C22⋊Q8—111no—
1062C2×C22⋊Q8—111no—
1063C2×C22⋊Q8—111no—
1064C2×C22⋊Q8—111no—
1065C2×C22⋊Q8—111no—
1066C2×C22⋊Q8—111no—
1067C2×C22⋊Q8—111no—
1068C2×C22⋊Q8—111no—
1069C2×C22⋊Q8—1116no—
1070C2×C22⋊Q8—111no—
1071C2×C22⋊Q8—111no—
1072C2×C22⋊Q8—111no—
1073C2×C22⋊Q8—111no—
1074C2×C22⋊Q8—111no—
1075C2×C22⋊Q8—111no—
1076C2×C22⋊Q8—111no—
1077C2×C22⋊Q8—111no—
1078C2×C22⋊Q8—111no—
1079C2×C22⋊Q8C2×D1111yescharacteristic
1080C2×#121—111no—
1081C2×#121—111no—
1082C2×#121—111no—
1083C2×#121—111no—
1084C2×#121—111no—
1085C2×#121—111no—
1086C2×#121—111no—
1087C2×#121C2×D1111yescharacteristic
1088C2×#121C2×D1111yescharacteristic
1089C2×#121C2×D1111yescharacteristic
1090C2×#120—111no—
1091C2×#120—111no—
1092C2×#120C2×D1111yescharacteristic
1093C2×#120C2×D1111yescharacteristic
1094C2×C4×Q8—111no—
1095C2×C4×Q8—111no—
1096C2×C4×D4—111no—
1097C2×C4×D4—111no—
1098C2×C4×D4—111no—
1099C2×C4×D4—111no—
1100C2×C4×D4—111no—
1101C2×C4×D4—111no—
1102C2×C4×D4—111no—
1103C2×C4×D4—111no—
1104C2×C4×D4—111no—
1105C2×C4×D4—111no—
1106C2×C4×D4—111no—
1107C2×C4×D4—111no—
1108C2×C4×D4C2×D1111yescharacteristic
1109C2×C4×D4C2×D1111yescharacteristic
1110C2×#117—111no—
1111C2×#117—111no—
1112C2×#117—111no—
1113C2×#117—111no—
1114C2×#117—111no—
1115C2×#117—111no—
1116C2×#117—111no—
1117C22×C4⋊C4—111no—
1118C22×C4⋊C4—111no—
1119C22×C4⋊C4—111no—
1120C22×C4⋊C4—111no—
1121C22×C4⋊C4—111no—
1122C22×C4⋊C4—111no—
1123C22×C4⋊C4—111no—
1124C22×C22⋊C4—111no—
1125C22×C22⋊C4—111no—
1126C22×C22⋊C4—111no—
1127C22×C22⋊C4—111no—
1128C22×C22⋊C4—111no—
1129C22×C22⋊C4C2×D1111yescharacteristic
1130C22×C22⋊C4C2×D1111yescharacteristic
1131C22×C11—22no—
1132C22×C11—22no—
1133C22×C11—22no—
1134C22×C11—22no—
1135C22×C11—28no—
1136C22×C11—28no—
1137C22×C11—22no—
1138C22×C11—22no—
1139C22×C11—22no—
1140C22×C11—22no—
1141C22×C11—22no—
1142C22×C11—22no—
1143C22×C11—22no—
1144C22×C11—22no—
1145C22×C11—22no—
1146C22×C11—22no—
1147C22×C11—22no—
1148C22×C11—22no—
1149C22×C11—416no—
1150C22×C11—44no—
1151C22×C11—44no—
1152C22×C11—44no—
1153C22×C11—44no—
1154C22×C11—88no—
1155C22×C11C2×H(5,𝔽2)14yes—
1156C22×C11C2×H(5,𝔽2)12yes—
1157C22×C11C2×2−1+414yes—
1158C22×C11C2×2−1+412yes—
1159C22×C11#58512yes—
1160C22×C11C2611yescharacteristic
1161C2×D11—22no—
1162C2×D11—22no—
1163C2×D11—22no—
1164C2×D11—44no—
1165C4×C11—22no—
1166C4×C11—22no—
1167C4×C11—22no—
1168C4×C11—22no—
1169C4×C11—22no—
1170C4×C11—22no—
1171C4×C11—22no—
1172C4×C11—22no—
1173C4×C11—22no—
1174Dic11—22no—
1175Dic11—22no—
1176Dic11—22no—
1177Dic11—22no—
1178Dic11—22no—
1179Dic11—22no—
1180Dic11—22no—
1181Dic11—22no—
1182Dic11—22no—
1183Dic11—22no—
1184Dic11—22no—
1185Dic11—22no—
1186Dic11—22no—
1187Dic11—22no—
1188Dic11—22no—
1189C25C22×D1111yescharacteristic
1190C25C22×D1111yescharacteristic
1191C2×#41—44no—
1192C2×#41—118no—
1193C2×#41—118no—
1194C2×#41—444no—
1195C2×#41—444no—
1196C2×#41C22×D1118yes—
1197C22×Q8—111no—
1198C22×Q8—111no—
1199C22×Q8—111no—
1200C22×Q8—111no—
1201C22×Q8—111no—
1202C22×Q8—111no—
1203C22×Q8—111no—
1204C22×Q8—111no—
1205C22×Q8—118no—
1206C22×Q8—444no—
1207C22×Q8C22×D1111yescharacteristic
1208C22×D4—44no—
1209C22×D4—111no—
1210C22×D4—111no—
1211C22×D4—111no—
1212C22×D4—111no—
1213C22×D4—111no—
1214C22×D4—111no—
1215C22×D4C22×D1111yescharacteristic
1216C22×D4C22×D1111yescharacteristic
1217C22×D4C22×D1111yescharacteristic
1218C22×D4C22×D1111yescharacteristic
1219C22×D4C22×D1111yescharacteristic
1220C22×D4C22×D1111yescharacteristic
1221C22×D4C22×D1111yescharacteristic
1222C22×D4C22×D1111yescharacteristic
1223C22×D4C22×D1111yescharacteristic
1224C22×D4C22×D1118yes—
1225C23×C4—111no—
1226C23×C4—111no—
1227C23×C4—111no—
1228C23×C4—111no—
1229C23×C4—111no—
1230C23×C4—111no—
1231C23×C4—111no—
1232C23×C4—111no—
1233C23×C4—111no—
1234C23×C4—111no—
1235C23×C4—111no—
1236C23×C4—111no—
1237C23×C4—111no—
1238C23×C4—111no—
1239C23×C4—118no—
1240C23×C4—111no—
1241C23×C4—111no—
1242C23×C4—111no—
1243C23×C4—444no—
1244C23×C4C22×D1111yescharacteristic
1245C23×C4C22×D1111yescharacteristic
1246C23×C4C22×D1111yescharacteristic
1247C23×C4C22×D1111yescharacteristic
1248C23×C4C22×D1111yescharacteristic
1249C23×C4C22×D1111yescharacteristic
1250C4⋊Q8—118no—
1251C4⋊Q8—118no—
1252C4⋊Q8—118no—
1253C4⋊Q8—118no—
1254C4⋊Q8—118no—
1255C4⋊Q8—118no—
1256#126—118no—
1257#126—118no—
1258#126—118no—
1259#126—118no—
1260#126—118no—
1261#126—118no—
1262#126—118no—
1263#126—118no—
1264#126—118no—
1265#126—118no—
1266#126—118no—
1267#126—118no—
1268#125—118no—
1269#125—118no—
1270#125—118no—
1271#125—118no—
1272#125—118no—
1273#125—118no—
1274#125—118no—
1275#125—118no—
1276#125—118no—
1277#125—118no—
1278#124—118no—
1279#124—118no—
1280#124—118no—
1281#124—118no—
1282#124—118no—
1283#124—118no—
1284#124—118no—
1285#124C22×D1118yes—
1286#123—118no—
1287#123—118no—
1288#123—118no—
1289#123—118no—
1290#123—118no—
1291#123—118no—
1292#123—118no—
1293#123—118no—
1294#123—118no—
1295#123—118no—
1296#123—118no—
1297#123—118no—
1298#123—118no—
1299#123—118no—
1300#123—118no—
1301#123—118no—
1302#123—118no—
1303#123—118no—
1304#123—118no—
1305#123—118no—
1306#123—118no—
1307#123—118no—
1308#123—118no—
1309#123—118no—
1310#123—118no—
1311#123—118no—
1312#123C22×D1118yes—
1313#123C22×D1118yes—
1314C22⋊Q8—118no—
1315C22⋊Q8—118no—
1316C22⋊Q8—118no—
1317C22⋊Q8—118no—
1318C22⋊Q8—118no—
1319C22⋊Q8—118no—
1320C22⋊Q8—118no—
1321C22⋊Q8—118no—
1322C22⋊Q8—118no—
1323C22⋊Q8—118no—
1324C22⋊Q8—118no—
1325C22⋊Q8—118no—
1326C22⋊Q8—118no—
1327C22⋊Q8—118no—
1328C22⋊Q8—118no—
1329C22⋊Q8—118no—
1330C22⋊Q8—118no—
1331C22⋊Q8—118no—
1332C22⋊Q8—118no—
1333C22⋊Q8—118no—
1334C22⋊Q8—118no—
1335C22⋊Q8—118no—
1336C22⋊Q8—118no—
1337C22⋊Q8—118no—
1338C22⋊Q8—118no—
1339C22⋊Q8—118no—
1340C22⋊Q8—118no—
1341C22⋊Q8—118no—
1342C22⋊Q8—118no—
1343C22⋊Q8—118no—
1344C22⋊Q8—118no—
1345C22⋊Q8—118no—
1346C22⋊Q8—118no—
1347C22⋊Q8C22×D1118yes—
1348#121—118no—
1349#121—118no—
1350#121—118no—
1351#121—118no—
1352#121—118no—
1353#121—118no—
1354#121—118no—
1355#121C22×D1118yes—
1356#121C22×D1118yes—
1357#121C22×D1118yes—
1358#120—118no—
1359#120—118no—
1360#120C22×D1118yes—
1361#120C22×D1118yes—
1362C4×Q8—118no—
1363C4×Q8—118no—
1364C4×D4—118no—
1365C4×D4—118no—
1366C4×D4—118no—
1367C4×D4—118no—
1368C4×D4—118no—
1369C4×D4—118no—
1370C4×D4—118no—
1371C4×D4—118no—
1372C4×D4—118no—
1373C4×D4—118no—
1374C4×D4—118no—
1375C4×D4—118no—
1376C4×D4C22×D1118yes—
1377C4×D4C22×D1118yes—
1378#117—118no—
1379#117—118no—
1380#117—118no—
1381#117—118no—
1382#117—118no—
1383#117—118no—
1384#117—118no—
1385C2×C4⋊C4—111no—
1386C2×C4⋊C4—111no—
1387C2×C4⋊C4—111no—
1388C2×C4⋊C4—111no—
1389C2×C4⋊C4—111no—
1390C2×C4⋊C4—111no—
1391C2×C4⋊C4—111no—
1392C2×C4⋊C4—111no—
1393C2×C4⋊C4—111no—
1394C2×C4⋊C4—111no—
1395C2×C4⋊C4—111no—
1396C2×C4⋊C4—111no—
1397C2×C4⋊C4—111no—
1398C2×C4⋊C4—111no—
1399C2×C4⋊C4—111no—
1400C2×C4⋊C4—111no—
1401C2×C4⋊C4—111no—
1402C2×C4⋊C4—111no—
1403C2×C4⋊C4—111no—
1404C2×C4⋊C4—118no—
1405C2×C4⋊C4—118no—
1406C2×C4⋊C4—118no—
1407C2×C4⋊C4—111no—
1408C2×C4⋊C4—111no—
1409C2×C4⋊C4—111no—
1410C2×C4⋊C4—111no—
1411C2×C4⋊C4—118no—
1412C2×C4⋊C4—118no—
1413C2×C4⋊C4—118no—
1414C2×C4⋊C4—111no—
1415C2×C4⋊C4—111no—
1416C2×C4⋊C4—111no—
1417C2×C4⋊C4—111no—
1418C2×C4⋊C4—111no—
1419C2×C4⋊C4—111no—
1420C2×C4⋊C4—111no—
1421C2×C4⋊C4—111no—
1422C2×C4⋊C4—111no—
1423C2×C4⋊C4—111no—
1424C2×C4⋊C4—111no—
1425C2×C4⋊C4—111no—
1426C2×C4⋊C4—111no—
1427C2×C4⋊C4—111no—
1428C2×C4⋊C4—111no—
1429C2×C4⋊C4—111no—
1430C2×C4⋊C4—111no—
1431C2×C4⋊C4—111no—
1432C2×C4⋊C4—111no—
1433C2×C4⋊C4—111no—
1434C2×C4⋊C4—111no—
1435C2×C4⋊C4—111no—
1436C2×C4⋊C4—111no—
1437C2×C4⋊C4—118no—
1438C2×C4⋊C4C22×D1111yescharacteristic
1439C2×C4⋊C4C22×D1111yescharacteristic
1440C2×C4⋊C4C22×D1111yescharacteristic
1441C2×C4⋊C4C22×D1111yescharacteristic
1442C2×C22⋊C4—111no—
1443C2×C22⋊C4—111no—
1444C2×C22⋊C4—111no—
1445C2×C22⋊C4—111no—
1446C2×C22⋊C4—111no—
1447C2×C22⋊C4—111no—
1448C2×C22⋊C4—111no—
1449C2×C22⋊C4—111no—
1450C2×C22⋊C4—111no—
1451C2×C22⋊C4—111no—
1452C2×C22⋊C4—111no—
1453C2×C22⋊C4—111no—
1454C2×C22⋊C4—111no—
1455C2×C22⋊C4—111no—
1456C2×C22⋊C4—111no—
1457C2×C22⋊C4—118no—
1458C2×C22⋊C4—111no—
1459C2×C22⋊C4—111no—
1460C2×C22⋊C4—111no—
1461C2×C22⋊C4—111no—
1462C2×C22⋊C4—118no—
1463C2×C22⋊C4—118no—
1464C2×C22⋊C4—118no—
1465C2×C22⋊C4—118no—
1466C2×C22⋊C4—111no—
1467C2×C22⋊C4—111no—
1468C2×C22⋊C4—111no—
1469C2×C22⋊C4—111no—
1470C2×C22⋊C4—111no—
1471C2×C22⋊C4—111no—
1472C2×C22⋊C4—111no—
1473C2×C22⋊C4—111no—
1474C2×C22⋊C4—111no—
1475C2×C22⋊C4—111no—
1476C2×C22⋊C4—111no—
1477C2×C22⋊C4—111no—
1478C2×C22⋊C4—111no—
1479C2×C22⋊C4—111no—
1480C2×C22⋊C4—111no—
1481C2×C22⋊C4C22×D1111yescharacteristic
1482C2×C22⋊C4C22×D1111yescharacteristic
1483C2×C22⋊C4C22×D1111yescharacteristic
1484C2×C22⋊C4C22×D1111yescharacteristic
1485C2×C22⋊C4C22×D1111yescharacteristic
1486C2×C22⋊C4C22×D1111yescharacteristic
1487C2×C22⋊C4C22×D1111yescharacteristic
1488C2×C22⋊C4C22×D1118yes—
1489C2×C22⋊C4C22×D1118yes—
1490C2×C22⋊C4C22×D1111yescharacteristic
1491C2×C22⋊C4C22×D1111yescharacteristic
1492C2×C22⋊C4C22×D1111yescharacteristic
1493C2×C22⋊C4C22×D1111yescharacteristic
1494C2×C22⋊C4C22×D1111yescharacteristic
1495C2×C42—111no—
1496C2×C42—111no—
1497C2×C42—111no—
1498C2×C42—111no—
1499C2×C42—111no—
1500C2×C42—111no—
1501C2×C42—111no—
1502C2×C42—111no—
1503C2×C42—111no—
1504C2×C42C22×D1111yescharacteristic
1505C2×C11—24no—
1506C2×C11—24no—
1507C2×C11—42no—
1508C2×C11—42no—
1509C2×C11—42no—
1510C2×C11—42no—
1511C2×C11#353514yescomplemented
1512C2×C11C22×H(5,𝔽2)11yescharacteristic
1513C2×C11C22×2−1+411yescharacteristic
1514C2×C11C2×#58511yescharacteristic
1515D11—42no—
1516C24—24no—
1517C24—24no—
1518C24—24no—
1519C24—42no—
1520C24—42no—
1521C24—42no—
1522C24—111no—
1523C24C23×D1111yescharacteristic
1524C24C23×D1111yescharacteristic
1525C24C23×D1111yescharacteristic
1526C24C23×D1111yescharacteristic
1527C24C23×D1114yes—
1528C24C23×D1111yescharacteristic
1529C24C23×D1111yescharacteristic
1530C24C23×D1114yes—
1531#41—416no—
1532#41—4416no—
1533#41—4416no—
1534C2×Q8—42no—
1535C2×Q8—114no—
1536C2×Q8—114no—
1537C2×Q8—114no—
1538C2×Q8—114no—
1539C2×Q8—114no—
1540C2×Q8—114no—
1541C2×Q8—114no—
1542C2×Q8—114no—
1543C2×Q8—442no—
1544C2×Q8—442no—
1545C2×Q8—442no—
1546C2×Q8—442no—
1547C2×Q8—4416no—
1548C2×Q8—442no—
1549C2×Q8—442no—
1550C2×Q8—442no—
1551C2×Q8—442no—
1552C2×Q8C23×D1114yes—
1553C2×D4—24no—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—42no—
1562C2×D4—416no—
1563C2×D4—114no—
1564C2×D4—114no—
1565C2×D4—114no—
1566C2×D4—114no—
1567C2×D4—114no—
1568C2×D4—114no—
1569C2×D4—224no—
1570C2×D4—224no—
1571C2×D4—442no—
1572C2×D4—442no—
1573C2×D4—442no—
1574C2×D4—442no—
1575C2×D4C23×D1114yes—
1576C2×D4C23×D1114yes—
1577C2×D4C23×D1114yes—
1578C2×D4C23×D1114yes—
1579C2×D4C23×D1114yes—
1580C2×D4C23×D1114yes—
1581C2×D4C23×D1114yes—
1582C2×D4C23×D1114yes—
1583C2×D4C23×D1114yes—
1584C22×C4—24no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—114no—
1591C22×C4—114no—
1592C22×C4—114no—
1593C22×C4—114no—
1594C22×C4—111no—
1595C22×C4—111no—
1596C22×C4—111no—
1597C22×C4—111no—
1598C22×C4—111no—
1599C22×C4—111no—
1600C22×C4—111no—
1601C22×C4—111no—
1602C22×C4—111no—
1603C22×C4—111no—
1604C22×C4—111no—
1605C22×C4—111no—
1606C22×C4—111no—
1607C22×C4—111no—
1608C22×C4—111no—
1609C22×C4—114no—
1610C22×C4—114no—
1611C22×C4—114no—
1612C22×C4—114no—
1613C22×C4—114no—
1614C22×C4—114no—
1615C22×C4—114no—
1616C22×C4—114no—
1617C22×C4—114no—
1618C22×C4—114no—
1619C22×C4—114no—
1620C22×C4—114no—
1621C22×C4—114no—
1622C22×C4—224no—
1623C22×C4—224no—
1624C22×C4—224no—
1625C22×C4—224no—
1626C22×C4—442no—
1627C22×C4—442no—
1628C22×C4—442no—
1629C22×C4—442no—
1630C22×C4—442no—
1631C22×C4—442no—
1632C22×C4—442no—
1633C22×C4—4416no—
1634C22×C4—442no—
1635C22×C4—442no—
1636C22×C4—442no—
1637C22×C4—442no—
1638C22×C4—442no—
1639C22×C4—442no—
1640C22×C4C23×D1114yes—
1641C22×C4C23×D1111yescharacteristic
1642C22×C4C23×D1111yescharacteristic
1643C22×C4C23×D1111yescharacteristic
1644C22×C4C23×D1111yescharacteristic
1645C22×C4C23×D1111yescharacteristic
1646C22×C4C23×D1111yescharacteristic
1647C22×C4C23×D1111yescharacteristic
1648C22×C4C23×D1111yescharacteristic
1649C22×C4C23×D1111yescharacteristic
1650C22×C4C23×D1114yes—
1651C22×C4C23×D1114yes—
1652C22×C4C23×D1114yes—
1653C22×C4C23×D1114yes—
1654C22×C4C23×D1114yes—
1655C4⋊C4—114no—
1656C4⋊C4—114no—
1657C4⋊C4—114no—
1658C4⋊C4—114no—
1659C4⋊C4—114no—
1660C4⋊C4—114no—
1661C4⋊C4—114no—
1662C4⋊C4—114no—
1663C4⋊C4—114no—
1664C4⋊C4—114no—
1665C4⋊C4—114no—
1666C4⋊C4—114no—
1667C4⋊C4—114no—
1668C4⋊C4—114no—
1669C4⋊C4—114no—
1670C4⋊C4—114no—
1671C4⋊C4—114no—
1672C4⋊C4—114no—
1673C4⋊C4—114no—
1674C4⋊C4—114no—
1675C4⋊C4—114no—
1676C4⋊C4—114no—
1677C4⋊C4—114no—
1678C4⋊C4—114no—
1679C4⋊C4—114no—
1680C4⋊C4—114no—
1681C4⋊C4—114no—
1682C4⋊C4—114no—
1683C4⋊C4—114no—
1684C4⋊C4—114no—
1685C4⋊C4—114no—
1686C4⋊C4—114no—
1687C4⋊C4—114no—
1688C4⋊C4—114no—
1689C4⋊C4—114no—
1690C4⋊C4—114no—
1691C4⋊C4—114no—
1692C4⋊C4—114no—
1693C4⋊C4—114no—
1694C4⋊C4—114no—
1695C4⋊C4—114no—
1696C4⋊C4—114no—
1697C4⋊C4—114no—
1698C4⋊C4—114no—
1699C4⋊C4—114no—
1700C4⋊C4—114no—
1701C4⋊C4C23×D1114yes—
1702C4⋊C4C23×D1114yes—
1703C4⋊C4C23×D1114yes—
1704C4⋊C4C23×D1114yes—
1705C22⋊C4—114no—
1706C22⋊C4—114no—
1707C22⋊C4—114no—
1708C22⋊C4—114no—
1709C22⋊C4—114no—
1710C22⋊C4—114no—
1711C22⋊C4—114no—
1712C22⋊C4—114no—
1713C22⋊C4—114no—
1714C22⋊C4—114no—
1715C22⋊C4—114no—
1716C22⋊C4—114no—
1717C22⋊C4—114no—
1718C22⋊C4—114no—
1719C22⋊C4—114no—
1720C22⋊C4—114no—
1721C22⋊C4—114no—
1722C22⋊C4—114no—
1723C22⋊C4—114no—
1724C22⋊C4—114no—
1725C22⋊C4—114no—
1726C22⋊C4—114no—
1727C22⋊C4—114no—
1728C22⋊C4—114no—
1729C22⋊C4—114no—
1730C22⋊C4—114no—
1731C22⋊C4—114no—
1732C22⋊C4—114no—
1733C22⋊C4—114no—
1734C22⋊C4—114no—
1735C22⋊C4—114no—
1736C22⋊C4—114no—
1737C22⋊C4—114no—
1738C22⋊C4—114no—
1739C22⋊C4C23×D1114yes—
1740C22⋊C4C23×D1114yes—
1741C22⋊C4C23×D1114yes—
1742C22⋊C4C23×D1114yes—
1743C22⋊C4C23×D1114yes—
1744C22⋊C4C23×D1114yes—
1745C22⋊C4C23×D1114yes—
1746C22⋊C4C23×D1114yes—
1747C22⋊C4C23×D1114yes—
1748C22⋊C4C23×D1114yes—
1749C22⋊C4C23×D1114yes—
1750C22⋊C4C23×D1114yes—
1751C42—114no—
1752C42—114no—
1753C42—114no—
1754C42—114no—
1755C42—114no—
1756C42—114no—
1757C42—114no—
1758C42—114no—
1759C42—114no—
1760C42C23×D1114yes—
1761C11C2×#353511yescharacteristic, complemented, Sylow
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—28no—
1769C23—22no—
1770C23—22no—
1771C23—22no—
1772C23—28no—
1773C23—22no—
1774C23—22no—
1775C23—22no—
1776C23—22no—
1777C23—22no—
1778C23—22no—
1779C23—22no—
1780C23—28no—
1781C23—44no—
1782C23—44no—
1783C23—44no—
1784C23—416no—
1785C23—88no—
1786C23—112no—
1787C23—222no—
1788C23—222no—
1789C23—222no—
1790C23#6703714yes—
1791C23#6704314yes—
1792C23C24×D1112yes—
1793C23C24×D1112yes—
1794C23C24×D1112yes—
1795C23C24×D1112yes—
1796C23C24×D1112yes—
1797C23C24×D1112yes—
1798C23C24×D1111yescharacteristic
1799Q8—44no—
1800Q8—444no—
1801Q8—444no—
1802Q8—444no—
1803Q8—444no—
1804Q8—444no—
1805Q8—444no—
1806Q8—444no—
1807Q8—444no—
1808D4—28no—
1809D4—28no—
1810D4—28no—
1811D4—28no—
1812D4—44no—
1813D4—44no—
1814D4—44no—
1815D4—44no—
1816D4—44no—
1817D4—228no—
1818D4—228no—
1819D4—444no—
1820D4—444no—
1821D4—444no—
1822D4—444no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—28no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—112no—
1839C2×C4—112no—
1840C2×C4—112no—
1841C2×C4—112no—
1842C2×C4—112no—
1843C2×C4—112no—
1844C2×C4—112no—
1845C2×C4—112no—
1846C2×C4—112no—
1847C2×C4—112no—
1848C2×C4—112no—
1849C2×C4—112no—
1850C2×C4—112no—
1851C2×C4—112no—
1852C2×C4—112no—
1853C2×C4—222no—
1854C2×C4—222no—
1855C2×C4—228no—
1856C2×C4—222no—
1857C2×C4—222no—
1858C2×C4—222no—
1859C2×C4—228no—
1860C2×C4—222no—
1861C2×C4—228no—
1862C2×C4—222no—
1863C2×C4—228no—
1864C2×C4—222no—
1865C2×C4—222no—
1866C2×C4—222no—
1867C2×C4—222no—
1868C2×C4—222no—
1869C2×C4—222no—
1870C2×C4—222no—
1871C2×C4—222no—
1872C2×C4—444no—
1873C2×C4—444no—
1874C2×C4—444no—
1875C2×C4—444no—
1876C2×C4—444no—
1877C2×C4—444no—
1878C2×C4—444no—
1879C2×C4—444no—
1880C2×C4—444no—
1881C2×C4—444no—
1882C2×C4—444no—
1883C2×C4—444no—
1884C2×C4—444no—
1885C2×C4C24×D1112yes—
1886C2×C4C24×D1112yes—
1887C2×C4C24×D1112yes—
1888C2×C4C24×D1112yes—
1889C2×C4C24×D1112yes—
1890C2×C4C24×D1112yes—
1891C2×C4C24×D1112yes—
1892C2×C4C24×D1112yes—
1893C2×C4C24×D1112yes—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—28no—
1899C22—28no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—22no—
1907C22—22no—
1908C22—22no—
1909C22—22no—
1910C22—22no—
1911C22—22no—
1912C22—416no—
1913C22—44no—
1914C22—44no—
1915C22—44no—
1916C22—44no—
1917C22—88no—
1918C22—222no—
1919C22—222no—
1920C22—222no—
1921C22—444no—
1922C22C2×#6703714yes—
1923C22C2×#6703712yes—
1924C22C2×#6704314yes—
1925C22C2×#6704312yes—
1926C22#1062345512yes—
1927C22C25×D1111yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—222no—
1938C4—222no—
1939C4—222no—
1940C4—222no—
1941C4—222no—
1942C4—222no—
1943C4—222no—
1944C4—222no—
1945C4—222no—
1946C4—222no—
1947C4—222no—
1948C4—222no—
1949C4—222no—
1950C4—222no—
1951C4—222no—
1952C2—24no—
1953C2—24no—
1954C2—42no—
1955C2—42no—
1956C2—42no—
1957C2—42no—
1958C2—442no—
1959C2#1308281314yesdirect product factor
1960C2C22×#6703711yescharacteristic
1961C2C22×#6704311yescharacteristic
1962C2C2×#1062345511yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#546C2
socleC23×C11C25
hypercenterC2×#546D11
hypocenterC11C2×#3535
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #13082813C2direct (N × H)
2. C2×#10623182C2semidirect
3. C2×#10623203C2semidirect
4. C2×#10623152C2semidirect
5. C2×#10623152C2semidirect
6. C2×#10623070C2semidirect
7. C2×#10623167C2semidirect
8. C2×#10623072C2semidirect
9. C2×#10623181C2semidirect
10. C2×#10623118C2semidirect
11. C2×#10623118C2semidirect
12. C2×#10623026C2semidirect
13. C2×#10623026C2semidirect
14. C2×#10623142C2semidirect
15. C2×#10623355C2semidirect
16. C2×#10623337C2semidirect
17. C2×#10623154C2semidirect
18. C2×#10623014C2semidirect
19. C2×#10623134C2semidirect
20. C2×#10623200C2semidirect
21. C2×#10623133C2semidirect
22. C2×#10623133C2semidirect
23. C2×#10623191C2semidirect
24. C2×#10623095C2semidirect
25. C2×#10623095C2semidirect
26. C2×#10623124C2semidirect
27. C2×#10623179C2semidirect
28. C2×#10623356C2semidirect
29. C2×#10623117C2semidirect
30. C22×#66988C2semidirect
31. C22×#66931C2semidirect
32. C2×C11×#546C2semidirect
37. C22×#4341C22semidirect
38. C23×Dic22C22semidirect
39. C11×#546C22semidirect
60. #10623356C22semidirect
61. #10623355C22semidirect
62. C2×#66999C22semidirect
63. C2×#66997C22semidirect
64. C2×#66997C22semidirect
65. C2×#66997C22semidirect
66. #10623337C22semidirect
70. C2×#66992C22semidirect
71. C2×#66992C22semidirect
73. C2×#66991C22semidirect
75. C2×#66989C22semidirect
76. C2×#66989C22semidirect
77. C2×#66989C22semidirect
89. C2×#66988C22semidirect
90. C2×#66988C22semidirect
91. C2×#66988C22semidirect
92. C2×#66988C22semidirect
93. C2×#66988C22semidirect
94. C2×#66988C22semidirect
95. C2×#66988C22semidirect
99. C2×D4×Dic11C22semidirect
100. C2×D4×Dic11C22semidirect
101. C2×D4×Dic11C22semidirect
102. C2×#66982C22semidirect
103. C2×#66982C22semidirect
104. C2×#66982C22semidirect
106. C2×C4×C22⋊D11C22semidirect
107. C2×C4×C22⋊D11C22semidirect
108. C2×#66979C22semidirect
109. C2×#66979C22semidirect
110. C22×C4⋊Dic11C22semidirect
112. C2×#66977C22semidirect
113. C2×#66977C22semidirect
114. C2×#66977C22semidirect
115. C2×#66977C22semidirect
116. C2×#66977C22semidirect
117. C2×#66977C22semidirect
118. C2×#66977C22semidirect
119. C2×#66977C22semidirect
122. C22×Dic11⋊C4C22semidirect
123. C22×Dic11⋊C4C22semidirect
124. C22×Dic11⋊C4C22semidirect
125. #10623203C22semidirect
126. #10623200C22semidirect
127. #10623191C22semidirect
128. #10623182C22semidirect
129. #10623181C22semidirect
130. #10623179C22semidirect
131. #10623167C22semidirect
132. #10623154C22semidirect
133. #10623152C22semidirect
134. #10623152C22semidirect
135. #10623142C22semidirect
136. #10623134C22semidirect
137. #10623133C22semidirect
138. #10623133C22semidirect
139. #10623124C22semidirect
140. #10623118C22semidirect
141. #10623118C22semidirect
142. #10623117C22semidirect
143. #10623095C22semidirect
144. #10623095C22semidirect
145. #10623072C22semidirect
146. #10623070C22semidirect
147. C2×#66949C22semidirect
148. C2×#66949C22semidirect
149. C2×#66949C22semidirect
150. C2×C4⋊C4×D11C22semidirect
151. C2×#66943C22semidirect
152. C2×#66942C22semidirect
153. C2×#66942C22semidirect
154. C2×#66942C22semidirect
155. C2×#66942C22semidirect
156. C2×#66942C22semidirect
157. C2×#66942C22semidirect
158. C2×#66942C22semidirect
159. C2×#66941C22semidirect
160. C2×#66941C22semidirect
161. C2×#66941C22semidirect
162. C2×#66940C22semidirect
163. #10623026C22semidirect
164. #10623026C22semidirect
166. C2×#66939C22semidirect
167. C2×#66938C22semidirect
168. C2×#66938C22semidirect
169. C2×#66938C22semidirect
170. C2×#66936C22semidirect
171. C2×#66936C22semidirect
172. C2×#66936C22semidirect
173. C2×#66936C22semidirect
176. C2×(C22⋊D11)⋊C4C22semidirect
177. #10623014C22semidirect
178. C2×#66932C22semidirect
179. C2×#66932C22semidirect
180. C2×#66932C22semidirect
181. C2×#66932C22semidirect
182. C2×#66932C22semidirect
183. C2×#66932C22semidirect
184. C2×#66932C22semidirect
185. C2×#66932C22semidirect
186. C2×#66932C22semidirect
187. C2×#66932C22semidirect
188. C2×#66932C22semidirect
196. C2×#66931C22semidirect
197. C2×#66931C22semidirect
198. C2×#66931C22semidirect
199. C2×#66931C22semidirect
200. C2×#66931C22semidirect
201. C2×#66931C22semidirect
202. C2×#66931C22semidirect
203. C2×#66931C22semidirect
204. C2×#66931C22semidirect
205. C2×#66931C22semidirect
206. C2×#66931C22semidirect
207. C2×#66931C22semidirect
208. C2×#66931C22semidirect
209. C2×#66931C22semidirect
212. C2×#66930C22semidirect
213. C2×#66930C22semidirect
214. C2×#66930C22semidirect
215. C2×#66929C22semidirect
216. C2×#66923C22semidirect
217. C2×#66923C22semidirect
218. C2×C4×Dic22C22semidirect
266. C2×#4341C23semidirect
279. C22×Dic22C23semidirect
345. #66999C23semidirect
346. #66997C23semidirect
347. #66997C23semidirect
348. #66997C23semidirect
352. #66992C23semidirect
353. #66992C23semidirect
355. #66991C23semidirect
357. #66989C23semidirect
358. #66989C23semidirect
359. #66989C23semidirect
371. #66988C23semidirect
372. #66988C23semidirect
373. #66988C23semidirect
374. #66988C23semidirect
375. #66988C23semidirect
376. #66988C23semidirect
380. D4×Dic11C23semidirect
381. D4×Dic11C23semidirect
382. D4×Dic11C23semidirect
383. #66982C23semidirect
384. #66982C23semidirect
385. #66982C23semidirect
387. C4×C22⋊D11C23semidirect
388. C4×C22⋊D11C23semidirect
395. #66979C23semidirect
396. #66979C23semidirect
409. C2×C4⋊Dic11C23semidirect
411. #66977C23semidirect
412. #66977C23semidirect
413. #66977C23semidirect
414. #66977C23semidirect
415. #66977C23semidirect
416. #66977C23semidirect
417. #66977C23semidirect
418. #66977C23semidirect
455. C2×Dic11⋊C4C23semidirect
456. C2×Dic11⋊C4C23semidirect
457. C2×Dic11⋊C4C23semidirect
467. #66949C23semidirect
468. #66949C23semidirect
469. #66949C23semidirect
470. C4⋊C4×D11C23semidirect
471. #66943C23semidirect
472. #66942C23semidirect
473. #66942C23semidirect
474. #66942C23semidirect
475. #66942C23semidirect
476. #66942C23semidirect
477. #66942C23semidirect
478. #66942C23semidirect
479. #66941C23semidirect
480. #66941C23semidirect
481. #66941C23semidirect
482. #66940C23semidirect
484. #66939C23semidirect
485. #66938C23semidirect
486. #66938C23semidirect
487. #66938C23semidirect
488. #66936C23semidirect
489. #66936C23semidirect
490. #66936C23semidirect
491. #66936C23semidirect
494. (C22⋊D11)⋊C4C23semidirect
495. #66932C23semidirect
496. #66932C23semidirect
497. #66932C23semidirect
498. #66932C23semidirect
499. #66932C23semidirect
500. #66932C23semidirect
501. #66932C23semidirect
502. #66932C23semidirect
503. #66932C23semidirect
504. #66932C23semidirect
505. #66932C23semidirect
513. #66931C23semidirect
514. #66931C23semidirect
515. #66931C23semidirect
516. #66931C23semidirect
517. #66931C23semidirect
518. #66931C23semidirect
519. #66931C23semidirect
520. #66931C23semidirect
521. #66931C23semidirect
522. #66931C23semidirect
523. #66931C23semidirect
524. #66931C23semidirect
525. #66931C23semidirect
528. #66930C23semidirect
529. #66930C23semidirect
530. #66930C23semidirect
531. #66929C23semidirect
532. #66923C23semidirect
533. #66923C23semidirect
534. C4×Dic22C23semidirect
797. C2×#546D11semidirect
966. #546C2×D11semidirect
1511. C2×C11#3535semidirect
1761. C11C2×#3535semidirect
1959. C2#13082813direct (N × H)

Maximal subgroups

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

subgroupindex
#130828132
C2×#106231822
C2×#106232032
C2×#106231522
C2×#106230702
C2×#106231672
C2×#106230722
C2×#106231812
C2×#106231182
C2×#106230262
C2×#106231422
C2×#106233552
C2×#106233372
C2×#106231542
C2×#106230142
C2×#106231342
C2×#106232002
C2×#106231332
C2×#106231912
C2×#106230952
C2×#106231242
C2×#106231792
C2×#106233562
C2×#106231172
C22×#669882
C22×#669312
C2×C11×#5462
C2×#353511