Finite Group Databasebeta

← C2×#13082817 #15660973

Subgroups — C2×#13082817 #15660973

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#13082817C2132yesmaximal, direct product factor
2C2×#10623177C211yesmaximal, characteristic, complemented
3C2×#10623266C211yesmaximal, characteristic, complemented
4C2×#10623198C211yesmaximal, characteristic, complemented
5C2×#10623152C211yesmaximal, characteristic, complemented
6C2×#10623042C211yesmaximal, characteristic, complemented
7C2×#10623167C211yesmaximal, characteristic, complemented
8C2×#10623181C211yesmaximal, characteristic, complemented
9C2×#10623044C211yesmaximal, characteristic, complemented
10C2×#10623087C211yesmaximal, characteristic, complemented
11C2×#10623087C211yesmaximal, characteristic, complemented
12C2×#10623190C211yesmaximal, characteristic, complemented
13C2×#10623189C211yesmaximal, characteristic, complemented
14C2×#10623355C211yesmaximal, characteristic, complemented
15C2×#10623141C211yesmaximal, characteristic, complemented
16C2×#10623360C211yesmaximal, characteristic, complemented
17C2×#10623260C211yesmaximal, characteristic, complemented
18C2×#10623165C211yesmaximal, characteristic, complemented
19C2×#10623171C211yesmaximal, characteristic, complemented
20C2×#10623193C211yesmaximal, characteristic, complemented
21C2×#10623046C211yesmaximal, characteristic, complemented
22C2×#10623133C211yesmaximal, characteristic, complemented
23C2×#10623191C211yesmaximal, characteristic, complemented
24C2×#10623095C211yesmaximal, characteristic, complemented
25C2×#10623095C211yesmaximal, characteristic, complemented
26C2×#10623144C211yesmaximal, characteristic, complemented
27C2×#10623179C211yesmaximal, characteristic, complemented
28C2×#10623356C211yesmaximal, characteristic, complemented
29C2×#10623359C211yesmaximal, characteristic, complemented
30C2×D11×#123C211yesmaximal, characteristic, complemented
31C22×#66949C211yesmaximal, characteristic, complemented
32C2×C11×#547C211yesmaximal, characteristic, complemented
33C22×C11×#41C2211yescharacteristic
34C22×C11×#41C2211yescharacteristic, complemented
35C22×#4341C2211yescharacteristic
36C22×D4×D11C2211yescharacteristic
37C23×C4×D11C2211yescharacteristic
38C23×Dic22C2211yescharacteristic, complemented
39C11×#547C22116yescomplemented
40C2×C11×C4⋊Q8C2211yescharacteristic, complemented
41C2×C11×#123C2211yescharacteristic
42C2×C11×#123C2211yescharacteristic, complemented
43C2×C11×#123C2211yescharacteristic, complemented
44C2×C11×#123C2211yescharacteristic, complemented
45C2×C11×C22⋊Q8C2211yescharacteristic, complemented
46C2×C11×C22⋊Q8C2211yescharacteristic, complemented
47C2×C11×#121C2211yescharacteristic
48C2×C11×#121C2211yescharacteristic, complemented
49C2×C4×D4×C11C2211yescharacteristic, complemented
50C2×C4×D4×C11C2211yescharacteristic, complemented
51C22×C11×C4⋊C4C2211yescharacteristic, complemented
52C22×C11×C4⋊C4C2211yescharacteristic, complemented
53#10623360C22116yescomplemented
54#10623359C22116yescomplemented
55#10623356C22116yescomplemented
56#10623355C22116yescomplemented
57C2×#67000C2211yescharacteristic
58C2×#66999C2211yescharacteristic
59C2×#66999C2211yescharacteristic
60C2×#66999C2211yescharacteristic, complemented
61C2×#66999C2211yescharacteristic, complemented
62C2×#66997C2211yescharacteristic, complemented
63C2×#66997C2211yescharacteristic, complemented
64C2×#66997C2211yescharacteristic, complemented
65C2×#66992C2211yescharacteristic
66C2×#66992C2211yescharacteristic
67C2×#66992C2211yescharacteristic
68C2×#66992C2211yescharacteristic, complemented
69C2×#66991C2211yescharacteristic
70C2×#66991C2211yescharacteristic, complemented
71C2×#66990C2211yescharacteristic
72C2×#66990C2211yescharacteristic
73C2×#66990C2211yescharacteristic
74C2×#66990C2211yescharacteristic
75C2×#66989C2211yescharacteristic, complemented
76C2×#66989C2211yescharacteristic, complemented
77C2×#66988C2211yescharacteristic
78C2×#66988C2211yescharacteristic
79C2×#66988C2211yescharacteristic, complemented
80C2×#66988C2211yescharacteristic, complemented
81C2×#66988C2211yescharacteristic, complemented
82C2×#66988C2211yescharacteristic, complemented
83C2×#66988C2211yescharacteristic, complemented
84C2×#66988C2211yescharacteristic, complemented
85C2×D4×Dic11C2211yescharacteristic
86C2×D4×Dic11C2211yescharacteristic, complemented
87C2×#66983C2211yescharacteristic
88C2×#66982C2211yescharacteristic
89C2×#66982C2211yescharacteristic
90C2×#66982C2211yescharacteristic
91C2×#66982C2211yescharacteristic, complemented
92C2×#66982C2211yescharacteristic, complemented
93C2×#66982C2211yescharacteristic, complemented
94C2×C4×C22⋊D11C2211yescharacteristic
95C2×C4×C22⋊D11C2211yescharacteristic
96C2×C4×C22⋊D11C2211yescharacteristic
97C2×C4×C22⋊D11C2211yescharacteristic
98C2×C4×C22⋊D11C2211yescharacteristic
99C2×C4×C22⋊D11C2211yescharacteristic, complemented
100C2×C4×C22⋊D11C2211yescharacteristic, complemented
101C2×C4×C22⋊D11C2211yescharacteristic, complemented
102C22×(C2×D11)⋊C4C2211yescharacteristic
103C22×(C2×D11)⋊C4C2211yescharacteristic
104C22×(C2×D11)⋊C4C2211yescharacteristic
105C2×#66979C2211yescharacteristic, complemented
106C2×#66979C2211yescharacteristic, complemented
107C2×#66977C2211yescharacteristic, complemented
108C2×#66977C2211yescharacteristic, complemented
109C2×#66977C2211yescharacteristic, complemented
110C2×#66977C2211yescharacteristic, complemented
111C2×#66977C2211yescharacteristic, complemented
112C2×#66977C2211yescharacteristic, complemented
113C2×#66977C2211yescharacteristic, complemented
114C22×Dic11⋊C4C2211yescharacteristic, complemented
115C22×Dic11⋊C4C2211yescharacteristic, complemented
116C22×Dic11⋊C4C2211yescharacteristic, complemented
117#10623266C22116yescomplemented
118#10623260C22116yescomplemented
119#10623198C22116yescomplemented
120#10623193C22116yescomplemented
121#10623191C22116yescomplemented
122#10623190C22116yescomplemented
123#10623189C22116yescomplemented
124D11×#123C22116yescomplemented
125#10623181C22116yescomplemented
126#10623179C22116yescomplemented
127#10623177C22116yescomplemented
128#10623171C22116yescomplemented
129#10623167C22116yescomplemented
130#10623165C22116yescomplemented
131#10623152C22116yescomplemented
132#10623144C22116yescomplemented
133#10623141C22116yescomplemented
134#10623133C22116yescomplemented
135#10623095C22116yescomplemented
136#10623095C22116yescomplemented
137#10623087C22116yescomplemented
138#10623087C22116yescomplemented
139#10623046C22116yescomplemented
140#10623044C22116yescomplemented
141C2×#66951C2211yescharacteristic, complemented
142C2×#66951C2211yescharacteristic, complemented
143C2×#66951C2211yescharacteristic, complemented
144C2×#66951C2211yescharacteristic, complemented
145C2×#66951C2211yescharacteristic, complemented
146#10623042C22116yescomplemented
147C2×#66950C2211yescharacteristic
148C2×#66950C2211yescharacteristic, complemented
149C2×#66949C2211yescharacteristic
150C2×#66949C2211yescharacteristic
151C2×#66949C2211yescharacteristic
152C2×#66949C2211yescharacteristic
153C2×#66949C2211yescharacteristic
154C2×#66949C2211yescharacteristic
155C2×#66949C22116yescomplemented
156C2×#66949C2211yescharacteristic, complemented
157C2×#66949C2211yescharacteristic, complemented
158C2×#66949C2211yescharacteristic, complemented
159C2×#66949C2211yescharacteristic, complemented
160C2×#66949C2211yescharacteristic, complemented
161C2×#66949C2211yescharacteristic, complemented
162C2×#66949C2211yescharacteristic, complemented
163C2×#66947C2211yescharacteristic
164C2×#66947C2211yescharacteristic
165C2×#66947C2211yescharacteristic
166C2×#66945C2211yescharacteristic
167C2×#66945C2211yescharacteristic, complemented
168C2×C4⋊C4×D11C2211yescharacteristic
169C2×C4⋊C4×D11C2211yescharacteristic
170C2×#66943C2211yescharacteristic, complemented
171C2×#66943C2211yescharacteristic, complemented
172C2×#66942C2211yescharacteristic, complemented
173C2×#66942C2211yescharacteristic, complemented
174C2×#66942C2211yescharacteristic, complemented
175C2×#66942C2211yescharacteristic, complemented
176C2×#66942C2211yescharacteristic, complemented
177C2×#66942C2211yescharacteristic, complemented
178C2×#66942C2211yescharacteristic, complemented
179C2×#66941C2211yescharacteristic, complemented
180C2×#66941C2211yescharacteristic, complemented
181C2×#66940C2211yescharacteristic, complemented
182C2×#66940C2211yescharacteristic, complemented
183C2×#66939C2211yescharacteristic
184C2×#66939C2211yescharacteristic, complemented
185C2×#66938C2211yescharacteristic
186C2×#66938C2211yescharacteristic, complemented
187C2×#66938C2211yescharacteristic, complemented
188C2×#66938C2211yescharacteristic, complemented
189C2×#66938C2211yescharacteristic, complemented
190C2×#66937C2211yescharacteristic
191C2×#66936C2211yescharacteristic
192C2×#66936C2211yescharacteristic
193C2×#66936C2211yescharacteristic
194C2×#66936C2211yescharacteristic
195C2×#66936C2211yescharacteristic, complemented
196C2×(C22⋊D11)⋊C4C2211yescharacteristic
197C2×(C22⋊D11)⋊C4C2211yescharacteristic
198C2×C22⋊C4×D11C2211yescharacteristic
199C2×C22⋊C4×D11C2211yescharacteristic
200C2×C22⋊C4×D11C2211yescharacteristic
201C2×C22⋊C4×D11C2211yescharacteristic
202C2×#66932C2211yescharacteristic, complemented
203C2×#66932C2211yescharacteristic, complemented
204C2×#66932C2211yescharacteristic, complemented
205C2×#66932C2211yescharacteristic, complemented
206C2×#66932C2211yescharacteristic, complemented
207C2×#66931C2211yescharacteristic, complemented
208C2×#66931C2211yescharacteristic, complemented
209C2×#66931C2211yescharacteristic, complemented
210C2×#66931C2211yescharacteristic, complemented
211C2×#66931C2211yescharacteristic, complemented
212C2×#66931C2211yescharacteristic, complemented
213C2×#66930C2211yescharacteristic, complemented
214C2×#66930C2211yescharacteristic, complemented
215C2×#66929C2211yescharacteristic, complemented
216C2×#66929C2211yescharacteristic, complemented
217C2×#66925C2211yescharacteristic
218C2×#66923C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C2×C11×#41—44no—
222C2×C11×#41—44no—
223C2×C11×#41C2318yes—
224C2×C11×#41C2318yescomplemented
225C22×Q8×C11C2311yescharacteristic
226C22×Q8×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C22×D4×C11C2311yescharacteristic
231C22×D4×C11C2311yescharacteristic
232C22×D4×C11C2311yescharacteristic
233C23×C4×C11C2311yescharacteristic
234C23×C4×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
247C22×C22⋊D11C2311yescharacteristic
248C22×C22⋊D11C2311yescharacteristic
249C23×Dic11C2311yescharacteristic
250C23×Dic11C2311yescharacteristic
251C23×Dic11C2311yescharacteristic
252C23×Dic11C2311yescharacteristic
253C23×Dic11C2311yescharacteristic
254C23×Dic11C2311yescharacteristic
255C2×#4341—44no—
256C2×#4341C2318yes—
257C2×D4×D11—44no—
258C2×D4×D11C2318yes—
259C22×D44C2311yescharacteristic
260C22×C4×D11—44no—
261C22×C4×D11C2311yescharacteristic
262C22×C4×D11C2311yescharacteristic
263C22×C4×D11C2311yescharacteristic
264C22×C4×D11C2311yescharacteristic
265C22×C4×D11C2311yescharacteristic
266C22×C4×D11C2311yescharacteristic
267C22×C4×D11C2311yescharacteristic
268C22×C4×D11C2311yescharacteristic
269C22×C4×D11C2311yescharacteristic
270C22×C4×D11C2318yes—
271C22×Dic22—44no—
272C22×Dic22C2311yescharacteristic
273C22×Dic22C2311yescharacteristic
274C22×Dic22C2311yescharacteristic
275C22×Dic22C2311yescharacteristic
276C22×Dic22C2311yescharacteristic
277C22×Dic22C2311yescharacteristic
278C22×Dic22C2311yescharacteristic
279C22×Dic22C2318yescomplemented
280C11×C4⋊Q8C2318yescomplemented
281C11×#123C2318yes—
282C11×#123C2318yescomplemented
283C11×#123C2318yescomplemented
284C11×#123C2318yescomplemented
285C11×C22⋊Q8C2318yescomplemented
286C11×C22⋊Q8C2318yescomplemented
287C11×#121C2318yes—
288C11×#121C2318yescomplemented
289C4×D4×C11C2318yescomplemented
290C4×D4×C11C2318yescomplemented
291C2×C11×C4⋊C4C2311yescharacteristic
292C2×C11×C4⋊C4C2311yescharacteristic
293C2×C11×C4⋊C4C2311yescharacteristic
294C2×C11×C4⋊C4C2311yescharacteristic
295C2×C11×C4⋊C4C2311yescharacteristic
296C2×C11×C4⋊C4C2311yescharacteristic
297C2×C11×C4⋊C4C2311yescharacteristic
298C2×C11×C4⋊C4C2311yescharacteristic
299C2×C11×C4⋊C4C2311yescharacteristic
300C2×C11×C4⋊C4C2311yescharacteristic
301C2×C11×C4⋊C4C2318yescomplemented
302C2×C11×C4⋊C4C2318yescomplemented
303C2×C11×C22⋊C4C2311yescharacteristic
304C2×C11×C22⋊C4C2311yescharacteristic
305C2×C11×C22⋊C4C2311yescharacteristic
306C2×C11×C22⋊C4C2311yescharacteristic
307C2×C11×C22⋊C4C2311yescharacteristic
308C2×C11×C22⋊C4C2311yescharacteristic
309C2×C11×C22⋊C4C2311yescharacteristic
310C2×C11×C22⋊C4C2311yescharacteristic
311C2×C42×C11C2311yescharacteristic
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⋊Dic11C2311yescharacteristic
323C2×C22⋊Dic11C2311yescharacteristic
324C2×C22⋊Dic11C2311yescharacteristic
325C2×C22⋊Dic11C2311yescharacteristic
326C2×C22⋊Dic11C2311yescharacteristic
327C2×C22⋊Dic11C2311yescharacteristic
328#67000C2318yes—
329#66999C2318yes—
330#66999C2318yes—
331#66999C2318yescomplemented
332#66999C2318yescomplemented
333#66997C2318yescomplemented
334#66997C2318yescomplemented
335#66997C2318yescomplemented
336#66992C2318yes—
337#66992C2318yes—
338#66992C2318yes—
339#66992C2318yescomplemented
340#66991C2318yes—
341#66991C2318yescomplemented
342#66990C2318yes—
343#66990C2318yes—
344#66990C2318yes—
345#66990C2318yes—
346#66989C2318yescomplemented
347#66989C2318yescomplemented
348#66988C2318yes—
349#66988C2318yes—
350#66988C2318yescomplemented
351#66988C2318yescomplemented
352#66988C2318yescomplemented
353#66988C2318yescomplemented
354#66988C2318yescomplemented
355#66988C2318yescomplemented
356D4×Dic11C2318yes—
357D4×Dic11C2318yescomplemented
358#66983C2318yes—
359#66982C2318yes—
360#66982C2318yes—
361#66982C2318yes—
362#66982C2318yescomplemented
363#66982C2318yescomplemented
364#66982C2318yescomplemented
365C4×C22⋊D11C2318yes—
366C4×C22⋊D11C2318yes—
367C4×C22⋊D11C2318yes—
368C4×C22⋊D11C2318yes—
369C4×C22⋊D11C2318yes—
370C4×C22⋊D11C2318yescomplemented
371C4×C22⋊D11C2318yescomplemented
372C4×C22⋊D11C2318yescomplemented
373C2×(C2×D11)⋊C4C2311yescharacteristic
374C2×(C2×D11)⋊C4C2311yescharacteristic
375C2×(C2×D11)⋊C4C2311yescharacteristic
376C2×(C2×D11)⋊C4C2311yescharacteristic
377C2×(C2×D11)⋊C4C2311yescharacteristic
378C2×(C2×D11)⋊C4C2311yescharacteristic
379C2×(C2×D11)⋊C4C2311yescharacteristic
380C2×(C2×D11)⋊C4C2311yescharacteristic
381C2×(C2×D11)⋊C4C2311yescharacteristic
382C2×(C2×D11)⋊C4C2311yescharacteristic
383C2×(C2×D11)⋊C4C2311yescharacteristic
384C2×(C2×D11)⋊C4C2311yescharacteristic
385C2×(C2×D11)⋊C4C2311yescharacteristic
386C2×(C2×D11)⋊C4C2311yescharacteristic
387C2×(C2×D11)⋊C4C2311yescharacteristic
388C2×(C2×D11)⋊C4C2311yescharacteristic
389C2×(C2×D11)⋊C4C2311yescharacteristic
390C2×(C2×D11)⋊C4C2311yescharacteristic
391C2×(C2×D11)⋊C4C2311yescharacteristic
392C2×(C2×D11)⋊C4C2311yescharacteristic
393C2×(C2×D11)⋊C4C2311yescharacteristic
394C2×(C2×D11)⋊C4C2311yescharacteristic
395C2×(C2×D11)⋊C4C2318yes—
396C2×(C2×D11)⋊C4C2318yes—
397C2×(C2×D11)⋊C4C2318yes—
398#66979C2318yescomplemented
399#66979C2318yescomplemented
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⋊Dic11C2311yescharacteristic
410#66977C2318yescomplemented
411#66977C2318yescomplemented
412#66977C2318yescomplemented
413#66977C2318yescomplemented
414#66977C2318yescomplemented
415#66977C2318yescomplemented
416#66977C2318yescomplemented
417C2×Dic11⋊C4C2311yescharacteristic
418C2×Dic11⋊C4C2311yescharacteristic
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⋊C4C2318yescomplemented
448C2×Dic11⋊C4C2318yescomplemented
449C2×Dic11⋊C4C2318yescomplemented
450C2×C4×Dic11C2311yescharacteristic
451C2×C4×Dic11C2311yescharacteristic
452C2×C4×Dic11C2311yescharacteristic
453C2×C4×Dic11C2311yescharacteristic
454C2×C4×Dic11C2311yescharacteristic
455C2×C4×Dic11C2311yescharacteristic
456C2×C4×Dic11C2311yescharacteristic
457C2×C4×Dic11C2311yescharacteristic
458C2×C4×Dic11C2311yescharacteristic
459#66951C2318yescomplemented
460#66951C2318yescomplemented
461#66951C2318yescomplemented
462#66951C2318yescomplemented
463#66951C2318yescomplemented
464#66950C2318yes—
465#66950C2318yescomplemented
466#66949C2318yes—
467#66949C2318yes—
468#66949C2318yes—
469#66949C2318yes—
470#66949C2318yes—
471#66949C2318yes—
472#66949C2318yescomplemented
473#66949C2318yescomplemented
474#66949C2318yescomplemented
475#66949C2318yescomplemented
476#66949C2318yescomplemented
477#66949C2318yescomplemented
478#66949C2318yescomplemented
479#66947C2318yes—
480#66947C2318yes—
481#66947C2318yes—
482#66945C2318yes—
483#66945C2318yescomplemented
484C4⋊C4×D11C2318yes—
485C4⋊C4×D11C2318yes—
486#66943C2318yescomplemented
487#66943C2318yescomplemented
488#66942C2318yescomplemented
489#66942C2318yescomplemented
490#66942C2318yescomplemented
491#66942C2318yescomplemented
492#66942C2318yescomplemented
493#66942C2318yescomplemented
494#66942C2318yescomplemented
495#66941C2318yescomplemented
496#66941C2318yescomplemented
497#66940C2318yescomplemented
498#66940C2318yescomplemented
499#66939C2318yes—
500#66939C2318yescomplemented
501#66938C2318yes—
502#66938C2318yescomplemented
503#66938C2318yescomplemented
504#66938C2318yescomplemented
505#66938C2318yescomplemented
506#66937C2318yes—
507#66936C2318yes—
508#66936C2318yes—
509#66936C2318yes—
510#66936C2318yes—
511#66936C2318yescomplemented
512(C22⋊D11)⋊C4C2318yes—
513(C22⋊D11)⋊C4C2318yes—
514C22⋊C4×D11C2318yes—
515C22⋊C4×D11C2318yes—
516C22⋊C4×D11C2318yes—
517C22⋊C4×D11C2318yes—
518#66932C2318yescomplemented
519#66932C2318yescomplemented
520#66932C2318yescomplemented
521#66932C2318yescomplemented
522#66932C2318yescomplemented
523#66931C2318yescomplemented
524#66931C2318yescomplemented
525#66931C2318yescomplemented
526#66931C2318yescomplemented
527#66931C2318yescomplemented
528#66931C2318yescomplemented
529#66930C2318yescomplemented
530#66930C2318yescomplemented
531#66929C2318yescomplemented
532#66929C2318yescomplemented
533#66925C2318yes—
534#66923C2318yescomplemented
535C2×#3535—111nomaximal, Sylow
536C24×C11C2411yescharacteristic
537C24×C11C2411yescharacteristic
538C24×C11C2411yescharacteristic
539C24×C11C2411yescharacteristic
540C23×D11—24no—
541C23×D11—24no—
542C23×D11—24no—
543C23×D11—42no—
544C23×D11—42no—
545C23×D11—42no—
546C23×D11C2411yescharacteristic
547C23×D11C2411yescharacteristic
548C23×D11C2414yes—
549C23×D11C2411yescharacteristic
550C23×D11C2414yes—
551C11×#41—416no—
552C11×#41—416no—
553C2×Q8×C11—42no—
554C2×Q8×C11—42no—
555C2×Q8×C11C2414yes—
556C2×Q8×C11C2414yes—
557C2×D4×C11—24no—
558C2×D4×C11—24no—
559C2×D4×C11—24no—
560C2×D4×C11—42no—
561C2×D4×C11—42no—
562C2×D4×C11—42no—
563C2×D4×C11C2414yes—
564C2×D4×C11C2414yes—
565C2×D4×C11C2414yes—
566C2×D4×C11C2414yes—
567C2×D4×C11C2414yes—
568C2×D4×C11C2414yes—
569C22×C4×C11—24no—
570C22×C4×C11—24no—
571C22×C4×C11—42no—
572C22×C4×C11—42no—
573C22×C4×C11—42no—
574C22×C4×C11—42no—
575C22×C4×C11—42no—
576C22×C4×C11—42no—
577C22×C4×C11C2411yescharacteristic
578C22×C4×C11C2411yescharacteristic
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—
594C22×C4×C11C2414yes—
595C22×C4×C11C2414yes—
596C2×C22⋊D11—24no—
597C2×C22⋊D11—24no—
598C2×C22⋊D11—24no—
599C2×C22⋊D11—42no—
600C2×C22⋊D11—42no—
601C2×C22⋊D11—42no—
602C2×C22⋊D11—42no—
603C2×C22⋊D11—42no—
604C2×C22⋊D11C2414yes—
605C2×C22⋊D11C2414yes—
606C2×C22⋊D11C2414yes—
607C2×C22⋊D11C2414yes—
608C2×C22⋊D11C2414yes—
609C2×C22⋊D11C2414yes—
610C2×C22⋊D11C2414yes—
611C2×C22⋊D11C2414yes—
612C22×Dic11—24no—
613C22×Dic11—24no—
614C22×Dic11—42no—
615C22×Dic11—42no—
616C22×Dic11—42no—
617C22×Dic11—42no—
618C22×Dic11C2414yes—
619C22×Dic11C2414yes—
620C22×Dic11C2411yescharacteristic
621C22×Dic11C2411yescharacteristic
622C22×Dic11C2411yescharacteristic
623C22×Dic11C2411yescharacteristic
624C22×Dic11C2411yescharacteristic
625C22×Dic11C2411yescharacteristic
626C22×Dic11C2411yescharacteristic
627C22×Dic11C2411yescharacteristic
628C22×Dic11C2411yescharacteristic
629C22×Dic11C2411yescharacteristic
630C22×Dic11C2411yescharacteristic
631C22×Dic11C2411yescharacteristic
632C22×Dic11C2411yescharacteristic
633C22×Dic11C2414yes—
634C22×Dic11C2414yes—
635C22×Dic11C2414yes—
636C22×Dic11C2414yes—
637#4341—416no—
638D4×D11—416no—
639C2×D44—42no—
640C2×D44C2414yes—
641C2×C4×D11—24no—
642C2×C4×D11—42no—
643C2×C4×D11—42no—
644C2×C4×D11—42no—
645C2×C4×D11—42no—
646C2×C4×D11—416no—
647C2×C4×D11—42no—
648C2×C4×D11—42no—
649C2×C4×D11—42no—
650C2×C4×D11—42no—
651C2×C4×D11C2414yes—
652C2×C4×D11C2414yes—
653C2×C4×D11C2414yes—
654C2×C4×D11C2414yes—
655C2×C4×D11C2414yes—
656C2×C4×D11C2414yes—
657C2×C4×D11C2414yes—
658C2×C4×D11C2414yes—
659C2×C4×D11C2414yes—
660C2×Dic22—42no—
661C2×Dic22—42no—
662C2×Dic22—42no—
663C2×Dic22—42no—
664C2×Dic22—416no—
665C2×Dic22—42no—
666C2×Dic22—42no—
667C2×Dic22—42no—
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×C4⋊C4C2414yes—
680C11×C4⋊C4C2414yes—
681C11×C4⋊C4C2414yes—
682C11×C4⋊C4C2414yes—
683C11×C4⋊C4C2414yes—
684C11×C4⋊C4C2414yes—
685C11×C22⋊C4C2414yes—
686C11×C22⋊C4C2414yes—
687C11×C22⋊C4C2414yes—
688C11×C22⋊C4C2414yes—
689C11×C22⋊C4C2414yes—
690C11×C22⋊C4C2414yes—
691C11×C22⋊C4C2414yes—
692C11×C22⋊C4C2414yes—
693C42×C11C2414yes—
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—
710(C2×D11)⋊C4C2414yes—
711(C2×D11)⋊C4C2414yes—
712(C2×D11)⋊C4C2414yes—
713(C2×D11)⋊C4C2414yes—
714(C2×D11)⋊C4C2414yes—
715(C2×D11)⋊C4C2414yes—
716(C2×D11)⋊C4C2414yes—
717(C2×D11)⋊C4C2414yes—
718(C2×D11)⋊C4C2414yes—
719(C2×D11)⋊C4C2414yes—
720(C2×D11)⋊C4C2414yes—
721(C2×D11)⋊C4C2414yes—
722(C2×D11)⋊C4C2414yes—
723(C2×D11)⋊C4C2414yes—
724(C2×D11)⋊C4C2414yes—
725(C2×D11)⋊C4C2414yes—
726(C2×D11)⋊C4C2414yes—
727(C2×D11)⋊C4C2414yes—
728(C2×D11)⋊C4C2414yes—
729(C2×D11)⋊C4C2414yes—
730(C2×D11)⋊C4C2414yes—
731(C2×D11)⋊C4C2414yes—
732C4⋊Dic11C2414yes—
733C4⋊Dic11C2414yes—
734C4⋊Dic11C2414yes—
735C4⋊Dic11C2414yes—
736C4⋊Dic11C2414yes—
737C4⋊Dic11C2414yes—
738C4⋊Dic11C2414yes—
739C4⋊Dic11C2414yes—
740C4⋊Dic11C2414yes—
741C4⋊Dic11C2414yes—
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×#547D1111yescharacteristic, complemented
796C2×#546—111no—
797C2×#546—111no—
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—22no—
818C23×C11—22no—
819C23×C11—22no—
820C23×C11—22no—
821C23×C11—22no—
822C23×C11—22no—
823C23×C11—22no—
824C23×C11H(5,𝔽2)14yes—
825C23×C11C2512yes—
826C23×C11C2512yes—
827C23×C11C2512yes—
828C23×C11C2512yes—
829C23×C11C2511yescharacteristic
830C22×D11—22no—
831C22×D11—22no—
832C22×D11—22no—
833C22×D11—28no—
834C22×D11—22no—
835C22×D11—22no—
836C22×D11—22no—
837C22×D11—22no—
838C22×D11—22no—
839C22×D11—28no—
840C22×D11—28no—
841C22×D11—44no—
842C22×D11—44no—
843C22×D11—44no—
844C22×D11—416no—
845C22×D11—88no—
846C22×D112−1+414yes—
847C22×D11C2512yes—
848C22×D11C2512yes—
849C22×D11C2512yes—
850Q8×C11—44no—
851Q8×C11—44no—
852D4×C11—28no—
853D4×C11—28no—
854D4×C11—28no—
855D4×C11—44no—
856D4×C11—44no—
857D4×C11—44no—
858C2×C4×C11—22no—
859C2×C4×C11—22no—
860C2×C4×C11—28no—
861C2×C4×C11—22no—
862C2×C4×C11—22no—
863C2×C4×C11—22no—
864C2×C4×C11—28no—
865C2×C4×C11—22no—
866C2×C4×C11—22no—
867C2×C4×C11—22no—
868C2×C4×C11—22no—
869C2×C4×C11—22no—
870C2×C4×C11—22no—
871C2×C4×C11—44no—
872C2×C4×C11—44no—
873C2×C4×C11—44no—
874C2×C4×C11—44no—
875C2×C4×C11—44no—
876C2×C4×C11—44no—
877C2×C4×C11C2512yes—
878C2×C4×C11C2512yes—
879C2×C4×C11C2512yes—
880C2×C4×C11C2512yes—
881C2×C4×C11C2512yes—
882C2×C4×C11C2512yes—
883C2×C4×C11C2512yes—
884C2×C4×C11C2512yes—
885C2×C4×C11C2512yes—
886C2×C4×C11C2512yes—
887C2×C4×C11C2512yes—
888C22⋊D11—28no—
889C22⋊D11—28no—
890C22⋊D11—28no—
891C22⋊D11—44no—
892C22⋊D11—44no—
893C22⋊D11—44no—
894C22⋊D11—44no—
895C22⋊D11—44no—
896C2×Dic11—22no—
897C2×Dic11—28no—
898C2×Dic11—22no—
899C2×Dic11—22no—
900C2×Dic11—22no—
901C2×Dic11—28no—
902C2×Dic11—22no—
903C2×Dic11—22no—
904C2×Dic11—22no—
905C2×Dic11—22no—
906C2×Dic11—22no—
907C2×Dic11—22no—
908C2×Dic11—22no—
909C2×Dic11—22no—
910C2×Dic11—22no—
911C2×Dic11—44no—
912C2×Dic11—44no—
913C2×Dic11—44no—
914C2×Dic11—44no—
915C2×Dic11C2512yes—
916C2×Dic11C2512yes—
917C2×Dic11C2512yes—
918C2×Dic11C2512yes—
919C2×Dic11C2512yes—
920C2×Dic11C2512yes—
921C2×Dic11C2512yes—
922C2×Dic11C2512yes—
923C2×Dic11C2512yes—
924C2×Dic11C2512yes—
925C2×Dic11C2512yes—
926C2×Dic11C2512yes—
927C2×Dic11C2512yes—
928D44—44no—
929C4×D11—28no—
930C4×D11—44no—
931C4×D11—44no—
932C4×D11—44no—
933C4×D11—44no—
934C4×D11—44no—
935C4×D11—44no—
936C4×D11—44no—
937C4×D11—44no—
938Dic22—44no—
939Dic22—44no—
940Dic22—44no—
941Dic22—44no—
942Dic22—44no—
943Dic22—44no—
944Dic22—44no—
945C22×#41—111no—
946C22×#41C2×D1111yescharacteristic
947C22×#41C2×D1111yescharacteristic, complemented
948C23×Q8—111no—
949C23×D4—111no—
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#547C2×D11116yescomplemented
965#546—1116no—
966#546—1116no—
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⋊Q8C2×D1111yescharacteristic, complemented
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×#124—111no—
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—111no—
1028C2×#123—111no—
1029C2×#123—111no—
1030C2×#123—1116no—
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×#123C2×D1111yescharacteristic
1042C2×#123C2×D1111yescharacteristic, complemented
1043C2×#123C2×D1111yescharacteristic, complemented
1044C2×#123C2×D1111yescharacteristic, complemented
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—111no—
1070C2×C22⋊Q8—111no—
1071C2×C22⋊Q8—1116no—
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⋊Q8C2×D1111yescharacteristic, complemented
1079C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1080C2×#121—111no—
1081C2×#121—111no—
1082C2×#121—111no—
1083C2×#121—111no—
1084C2×#121—111no—
1085C2×#121—111no—
1086C2×#121—111no—
1087C2×#121—111no—
1088C2×#121C2×D1111yescharacteristic
1089C2×#121C2×D1111yescharacteristic, complemented
1090C2×#120—111no—
1091C2×#120—111no—
1092C2×#120—111no—
1093C2×#120—111no—
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, complemented
1109C2×C4×D4C2×D1111yescharacteristic, complemented
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⋊C4C2×D1111yescharacteristic, complemented
1123C22×C4⋊C4C2×D1111yescharacteristic, complemented
1124C22×C22⋊C4—111no—
1125C22×C22⋊C4—111no—
1126C22×C22⋊C4—111no—
1127C22×C22⋊C4—111no—
1128C22×C22⋊C4—111no—
1129C22×C22⋊C4—111no—
1130C22×C22⋊C4—111no—
1131C22×C11—22no—
1132C22×C11—22no—
1133C22×C11—28no—
1134C22×C11—22no—
1135C22×C11—22no—
1136C22×C11—22no—
1137C22×C11—22no—
1138C22×C11—22no—
1139C22×C11—22no—
1140C22×C11—22no—
1141C22×C11—22no—
1142C22×C11—22no—
1143C22×C11—44no—
1144C22×C11—44no—
1145C22×C11—44no—
1146C22×C11C2×H(5,𝔽2)14yes—
1147C22×C11C2×H(5,𝔽2)12yes—
1148C22×C11C2×2−1+412yes—
1149C22×C11#58512yes—
1150C22×C11C2611yescharacteristic
1151C2×D11—22no—
1152C2×D11—22no—
1153C2×D11—28no—
1154C2×D11—22no—
1155C2×D11—22no—
1156C2×D11—22no—
1157C2×D11—22no—
1158C2×D11—22no—
1159C2×D11—22no—
1160C2×D11—416no—
1161C2×D11—44no—
1162C2×D11—44no—
1163C2×D11—88no—
1164C2×D11C2×2−1+414yes—
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—
1174C4×C11—22no—
1175C4×C11—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—
1189C25—111no—
1190C25—111no—
1191C2×#41—44no—
1192C2×#41—44no—
1193C2×#41—118no—
1194C2×#41—444no—
1195C2×#41C22×D1118yes—
1196C2×#41C22×D1118yescomplemented
1197C22×Q8—111no—
1198C22×Q8—111no—
1199C22×Q8—111no—
1200C22×Q8—111no—
1201C22×Q8—111no—
1202C22×Q8—111no—
1203C22×Q8—111no—
1204C22×Q8—118no—
1205C22×Q8—444no—
1206C22×Q8C22×D1111yescharacteristic
1207C22×Q8C22×D1111yescharacteristic
1208C22×D4—111no—
1209C22×D4—111no—
1210C22×D4—111no—
1211C22×D4—111no—
1212C22×D4—111no—
1213C22×D4—111no—
1214C22×D4—111no—
1215C22×D4—111no—
1216C22×D4—118no—
1217C22×D4—111no—
1218C22×D4—444no—
1219C22×D4C22×D1111yescharacteristic
1220C22×D4C22×D1111yescharacteristic
1221C22×D4C22×D1111yescharacteristic
1222C22×D4C22×D1111yescharacteristic
1223C22×D4C22×D1111yescharacteristic
1224C22×D4C22×D1111yescharacteristic
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—111no—
1240C23×C4—118no—
1241C23×C4—444no—
1242C23×C4C22×D1111yescharacteristic
1243C23×C4C22×D1111yescharacteristic
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⋊Q8C22×D1118yescomplemented
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#124—118no—
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#123C22×D1118yes—
1311#123C22×D1118yescomplemented
1312#123C22×D1118yescomplemented
1313#123C22×D1118yescomplemented
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⋊Q8C22×D1118yescomplemented
1347C22⋊Q8C22×D1118yescomplemented
1348#121—118no—
1349#121—118no—
1350#121—118no—
1351#121—118no—
1352#121—118no—
1353#121—118no—
1354#121—118no—
1355#121—118no—
1356#121C22×D1118yes—
1357#121C22×D1118yescomplemented
1358#120—118no—
1359#120—118no—
1360#120—118no—
1361#120—118no—
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×D1118yescomplemented
1377C4×D4C22×D1118yescomplemented
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—118no—
1399C2×C4⋊C4—118no—
1400C2×C4⋊C4—111no—
1401C2×C4⋊C4—111no—
1402C2×C4⋊C4—111no—
1403C2×C4⋊C4—118no—
1404C2×C4⋊C4—111no—
1405C2×C4⋊C4—111no—
1406C2×C4⋊C4—111no—
1407C2×C4⋊C4—111no—
1408C2×C4⋊C4—111no—
1409C2×C4⋊C4—111no—
1410C2×C4⋊C4—111no—
1411C2×C4⋊C4—111no—
1412C2×C4⋊C4—111no—
1413C2×C4⋊C4—111no—
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—118no—
1429C2×C4⋊C4—118no—
1430C2×C4⋊C4C22×D1111yescharacteristic
1431C2×C4⋊C4C22×D1111yescharacteristic
1432C2×C4⋊C4C22×D1111yescharacteristic
1433C2×C4⋊C4C22×D1111yescharacteristic
1434C2×C4⋊C4C22×D1111yescharacteristic
1435C2×C4⋊C4C22×D1111yescharacteristic
1436C2×C4⋊C4C22×D1111yescharacteristic
1437C2×C4⋊C4C22×D1111yescharacteristic
1438C2×C4⋊C4C22×D1111yescharacteristic
1439C2×C4⋊C4C22×D1111yescharacteristic
1440C2×C4⋊C4C22×D1118yescomplemented
1441C2×C4⋊C4C22×D1118yescomplemented
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—111no—
1458C2×C22⋊C4—111no—
1459C2×C22⋊C4—111no—
1460C2×C22⋊C4—111no—
1461C2×C22⋊C4—111no—
1462C2×C22⋊C4—111no—
1463C2×C22⋊C4—111no—
1464C2×C22⋊C4—111no—
1465C2×C22⋊C4—111no—
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—118no—
1474C2×C22⋊C4—118no—
1475C2×C22⋊C4—111no—
1476C2×C22⋊C4—111no—
1477C2×C22⋊C4—111no—
1478C2×C22⋊C4—118no—
1479C2×C22⋊C4—111no—
1480C2×C22⋊C4—111no—
1481C2×C22⋊C4—111no—
1482C2×C22⋊C4—111no—
1483C2×C22⋊C4—118no—
1484C2×C22⋊C4—118no—
1485C2×C22⋊C4—118no—
1486C2×C22⋊C4—118no—
1487C2×C22⋊C4C22×D1111yescharacteristic
1488C2×C22⋊C4C22×D1111yescharacteristic
1489C2×C22⋊C4C22×D1111yescharacteristic
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—42no—
1507C2×C11—42no—
1508C2×C11—42no—
1509C2×C11#353514yescomplemented
1510C2×C11C22×H(5,𝔽2)11yescharacteristic
1511C2×C11C22×2−1+411yescharacteristic
1512C2×C11C2×#58511yescharacteristic
1513D11—24no—
1514D11—42no—
1515D11—42no—
1516C24—111no—
1517C24—111no—
1518C24—111no—
1519C24—114no—
1520C24—114no—
1521C24—224no—
1522C24—224no—
1523C24—224no—
1524C24—442no—
1525C24—442no—
1526C24—442no—
1527C24C23×D1111yescharacteristic
1528C24C23×D1111yescharacteristic
1529C24C23×D1111yescharacteristic
1530C24C23×D1111yescharacteristic
1531#41—416no—
1532#41—416no—
1533#41—4416no—
1534C2×Q8—42no—
1535C2×Q8—42no—
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×Q8C23×D1114yes—
1552C2×Q8C23×D1114yes—
1553C2×D4—24no—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—114no—
1560C2×D4—114no—
1561C2×D4—114no—
1562C2×D4—114no—
1563C2×D4—114no—
1564C2×D4—114no—
1565C2×D4—114no—
1566C2×D4—114no—
1567C2×D4—114no—
1568C2×D4—224no—
1569C2×D4—224no—
1570C2×D4—224no—
1571C2×D4—442no—
1572C2×D4—442no—
1573C2×D4—442no—
1574C2×D4—442no—
1575C2×D4—442no—
1576C2×D4—442no—
1577C2×D4—4416no—
1578C2×D4C23×D1114yes—
1579C2×D4C23×D1114yes—
1580C2×D4C23×D1114yes—
1581C2×D4C23×D1114yes—
1582C2×D4C23×D1114yes—
1583C2×D4C23×D1114yes—
1584C22×C4—24no—
1585C22×C4—24no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
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—114no—
1608C22×C4—114no—
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—224no—
1621C22×C4—224no—
1622C22×C4—224no—
1623C22×C4—442no—
1624C22×C4—442no—
1625C22×C4—442no—
1626C22×C4—442no—
1627C22×C4—4416no—
1628C22×C4—442no—
1629C22×C4—442no—
1630C22×C4—442no—
1631C22×C4—442no—
1632C22×C4—442no—
1633C22×C4—442no—
1634C22×C4—442no—
1635C22×C4—442no—
1636C22×C4C23×D1114yes—
1637C22×C4C23×D1114yes—
1638C22×C4C23×D1111yescharacteristic
1639C22×C4C23×D1111yescharacteristic
1640C22×C4C23×D1111yescharacteristic
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×D1114yes—
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⋊C4C23×D1114yes—
1696C4⋊C4C23×D1114yes—
1697C4⋊C4C23×D1114yes—
1698C4⋊C4C23×D1114yes—
1699C4⋊C4C23×D1114yes—
1700C4⋊C4C23×D1114yes—
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⋊C4—114no—
1740C22⋊C4—114no—
1741C22⋊C4—114no—
1742C22⋊C4—114no—
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—22no—
1769C23—22no—
1770C23—22no—
1771C23—22no—
1772C23—22no—
1773C23—114no—
1774C23—112no—
1775C23—112no—
1776C23—112no—
1777C23—228no—
1778C23—228no—
1779C23—222no—
1780C23—222no—
1781C23—228no—
1782C23—222no—
1783C23—222no—
1784C23—222no—
1785C23—222no—
1786C23—222no—
1787C23—222no—
1788C23—444no—
1789C23—444no—
1790C23—444no—
1791C23—4416no—
1792C23—888no—
1793C23#6703714yes—
1794C23C24×D1112yes—
1795C23C24×D1112yes—
1796C23C24×D1112yes—
1797C23C24×D1112yes—
1798C23C24×D1111yescharacteristic
1799Q8—44no—
1800Q8—44no—
1801Q8—444no—
1802Q8—444no—
1803Q8—444no—
1804Q8—444no—
1805Q8—444no—
1806Q8—444no—
1807Q8—444no—
1808D4—28no—
1809D4—28no—
1810D4—28no—
1811D4—44no—
1812D4—44no—
1813D4—44no—
1814D4—228no—
1815D4—228no—
1816D4—228no—
1817D4—444no—
1818D4—444no—
1819D4—444no—
1820D4—444no—
1821D4—444no—
1822D4—444no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—28no—
1827C2×C4—22no—
1828C2×C4—28no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—44no—
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—112no—
1854C2×C4—112no—
1855C2×C4—228no—
1856C2×C4—228no—
1857C2×C4—222no—
1858C2×C4—222no—
1859C2×C4—222no—
1860C2×C4—222no—
1861C2×C4—228no—
1862C2×C4—222no—
1863C2×C4—222no—
1864C2×C4—222no—
1865C2×C4—222no—
1866C2×C4—222no—
1867C2×C4—222no—
1868C2×C4—222no—
1869C2×C4—222no—
1870C2×C4—222no—
1871C2×C4—444no—
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×C4C24×D1112yes—
1884C2×C4C24×D1112yes—
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—28no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—44no—
1907C22—44no—
1908C22—44no—
1909C22—114no—
1910C22—222no—
1911C22—222no—
1912C22—228no—
1913C22—222no—
1914C22—222no—
1915C22—222no—
1916C22—222no—
1917C22—222no—
1918C22—222no—
1919C22—4416no—
1920C22—444no—
1921C22—444no—
1922C22—888no—
1923C22C2×#6703714yes—
1924C22C2×#6703712yes—
1925C22#1062345312yes—
1926C22D11×2−1+412yes—
1927C22C25×D1111yescharacteristic
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
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—42no—
1954C2—42no—
1955C2—42no—
1956C2—224no—
1957C2—442no—
1958C2—442no—
1959C2#1308281714yesdirect product factor
1960C2C22×#6703711yescharacteristic
1961C2C2×D11×2−1+411yescharacteristic
1962C2C2×#1062345311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#547C2
socleC23×C11C25
hypercenterC2×#547D11
hypocenterC11C2×#3535
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#547

Complements

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

NH ≅ G/Ntype
1. #13082817C2direct (N × H)
2. C2×#10623177C2semidirect
3. C2×#10623266C2semidirect
4. C2×#10623198C2semidirect
5. C2×#10623152C2semidirect
6. C2×#10623042C2semidirect
7. C2×#10623167C2semidirect
8. C2×#10623181C2semidirect
9. C2×#10623044C2semidirect
10. C2×#10623087C2semidirect
11. C2×#10623087C2semidirect
12. C2×#10623190C2semidirect
13. C2×#10623189C2semidirect
14. C2×#10623355C2semidirect
15. C2×#10623141C2semidirect
16. C2×#10623360C2semidirect
17. C2×#10623260C2semidirect
18. C2×#10623165C2semidirect
19. C2×#10623171C2semidirect
20. C2×#10623193C2semidirect
21. C2×#10623046C2semidirect
22. C2×#10623133C2semidirect
23. C2×#10623191C2semidirect
24. C2×#10623095C2semidirect
25. C2×#10623095C2semidirect
26. C2×#10623144C2semidirect
27. C2×#10623179C2semidirect
28. C2×#10623356C2semidirect
29. C2×#10623359C2semidirect
30. C2×D11×#123C2semidirect
31. C22×#66949C2semidirect
32. C2×C11×#547C2semidirect
34. C22×C11×#41C22semidirect
38. C23×Dic22C22semidirect
39. C11×#547C22semidirect
40. C2×C11×C4⋊Q8C22semidirect
42. C2×C11×#123C22semidirect
43. C2×C11×#123C22semidirect
44. C2×C11×#123C22semidirect
45. C2×C11×C22⋊Q8C22semidirect
46. C2×C11×C22⋊Q8C22semidirect
48. C2×C11×#121C22semidirect
49. C2×C4×D4×C11C22semidirect
50. C2×C4×D4×C11C22semidirect
51. C22×C11×C4⋊C4C22semidirect
52. C22×C11×C4⋊C4C22semidirect
53. #10623360C22semidirect
54. #10623359C22semidirect
55. #10623356C22semidirect
56. #10623355C22semidirect
60. C2×#66999C22semidirect
61. C2×#66999C22semidirect
62. C2×#66997C22semidirect
63. C2×#66997C22semidirect
64. C2×#66997C22semidirect
68. C2×#66992C22semidirect
70. C2×#66991C22semidirect
75. C2×#66989C22semidirect
76. C2×#66989C22semidirect
79. C2×#66988C22semidirect
80. C2×#66988C22semidirect
81. C2×#66988C22semidirect
82. C2×#66988C22semidirect
83. C2×#66988C22semidirect
84. C2×#66988C22semidirect
86. C2×D4×Dic11C22semidirect
91. C2×#66982C22semidirect
92. C2×#66982C22semidirect
93. C2×#66982C22semidirect
99. C2×C4×C22⋊D11C22semidirect
100. C2×C4×C22⋊D11C22semidirect
101. C2×C4×C22⋊D11C22semidirect
105. C2×#66979C22semidirect
106. C2×#66979C22semidirect
107. C2×#66977C22semidirect
108. C2×#66977C22semidirect
109. C2×#66977C22semidirect
110. C2×#66977C22semidirect
111. C2×#66977C22semidirect
112. C2×#66977C22semidirect
113. C2×#66977C22semidirect
114. C22×Dic11⋊C4C22semidirect
115. C22×Dic11⋊C4C22semidirect
116. C22×Dic11⋊C4C22semidirect
117. #10623266C22semidirect
118. #10623260C22semidirect
119. #10623198C22semidirect
120. #10623193C22semidirect
121. #10623191C22semidirect
122. #10623190C22semidirect
123. #10623189C22semidirect
124. D11×#123C22semidirect
125. #10623181C22semidirect
126. #10623179C22semidirect
127. #10623177C22semidirect
128. #10623171C22semidirect
129. #10623167C22semidirect
130. #10623165C22semidirect
131. #10623152C22semidirect
132. #10623144C22semidirect
133. #10623141C22semidirect
134. #10623133C22semidirect
135. #10623095C22semidirect
136. #10623095C22semidirect
137. #10623087C22semidirect
138. #10623087C22semidirect
139. #10623046C22semidirect
140. #10623044C22semidirect
141. C2×#66951C22semidirect
142. C2×#66951C22semidirect
143. C2×#66951C22semidirect
144. C2×#66951C22semidirect
145. C2×#66951C22semidirect
146. #10623042C22semidirect
148. C2×#66950C22semidirect
155. C2×#66949C22semidirect
156. C2×#66949C22semidirect
157. C2×#66949C22semidirect
158. C2×#66949C22semidirect
159. C2×#66949C22semidirect
160. C2×#66949C22semidirect
161. C2×#66949C22semidirect
162. C2×#66949C22semidirect
167. C2×#66945C22semidirect
170. C2×#66943C22semidirect
171. C2×#66943C22semidirect
172. C2×#66942C22semidirect
173. C2×#66942C22semidirect
174. C2×#66942C22semidirect
175. C2×#66942C22semidirect
176. C2×#66942C22semidirect
177. C2×#66942C22semidirect
178. C2×#66942C22semidirect
179. C2×#66941C22semidirect
180. C2×#66941C22semidirect
181. C2×#66940C22semidirect
182. C2×#66940C22semidirect
184. C2×#66939C22semidirect
186. C2×#66938C22semidirect
187. C2×#66938C22semidirect
188. C2×#66938C22semidirect
189. C2×#66938C22semidirect
195. C2×#66936C22semidirect
202. C2×#66932C22semidirect
203. C2×#66932C22semidirect
204. C2×#66932C22semidirect
205. C2×#66932C22semidirect
206. C2×#66932C22semidirect
207. C2×#66931C22semidirect
208. C2×#66931C22semidirect
209. C2×#66931C22semidirect
210. C2×#66931C22semidirect
211. C2×#66931C22semidirect
212. C2×#66931C22semidirect
213. C2×#66930C22semidirect
214. C2×#66930C22semidirect
215. C2×#66929C22semidirect
216. C2×#66929C22semidirect
218. C2×#66923C22semidirect
224. C2×C11×#41C23semidirect
279. C22×Dic22C23semidirect
280. C11×C4⋊Q8C23semidirect
282. C11×#123C23semidirect
283. C11×#123C23semidirect
284. C11×#123C23semidirect
285. C11×C22⋊Q8C23semidirect
286. C11×C22⋊Q8C23semidirect
288. C11×#121C23semidirect
289. C4×D4×C11C23semidirect
290. C4×D4×C11C23semidirect
301. C2×C11×C4⋊C4C23semidirect
302. C2×C11×C4⋊C4C23semidirect
331. #66999C23semidirect
332. #66999C23semidirect
333. #66997C23semidirect
334. #66997C23semidirect
335. #66997C23semidirect
339. #66992C23semidirect
341. #66991C23semidirect
346. #66989C23semidirect
347. #66989C23semidirect
350. #66988C23semidirect
351. #66988C23semidirect
352. #66988C23semidirect
353. #66988C23semidirect
354. #66988C23semidirect
355. #66988C23semidirect
357. D4×Dic11C23semidirect
362. #66982C23semidirect
363. #66982C23semidirect
364. #66982C23semidirect
370. C4×C22⋊D11C23semidirect
371. C4×C22⋊D11C23semidirect
372. C4×C22⋊D11C23semidirect
398. #66979C23semidirect
399. #66979C23semidirect
410. #66977C23semidirect
411. #66977C23semidirect
412. #66977C23semidirect
413. #66977C23semidirect
414. #66977C23semidirect
415. #66977C23semidirect
416. #66977C23semidirect
447. C2×Dic11⋊C4C23semidirect
448. C2×Dic11⋊C4C23semidirect
449. C2×Dic11⋊C4C23semidirect
459. #66951C23semidirect
460. #66951C23semidirect
461. #66951C23semidirect
462. #66951C23semidirect
463. #66951C23semidirect
465. #66950C23semidirect
472. #66949C23semidirect
473. #66949C23semidirect
474. #66949C23semidirect
475. #66949C23semidirect
476. #66949C23semidirect
477. #66949C23semidirect
478. #66949C23semidirect
483. #66945C23semidirect
486. #66943C23semidirect
487. #66943C23semidirect
488. #66942C23semidirect
489. #66942C23semidirect
490. #66942C23semidirect
491. #66942C23semidirect
492. #66942C23semidirect
493. #66942C23semidirect
494. #66942C23semidirect
495. #66941C23semidirect
496. #66941C23semidirect
497. #66940C23semidirect
498. #66940C23semidirect
500. #66939C23semidirect
502. #66938C23semidirect
503. #66938C23semidirect
504. #66938C23semidirect
505. #66938C23semidirect
511. #66936C23semidirect
518. #66932C23semidirect
519. #66932C23semidirect
520. #66932C23semidirect
521. #66932C23semidirect
522. #66932C23semidirect
523. #66931C23semidirect
524. #66931C23semidirect
525. #66931C23semidirect
526. #66931C23semidirect
527. #66931C23semidirect
528. #66931C23semidirect
529. #66930C23semidirect
530. #66930C23semidirect
531. #66929C23semidirect
532. #66929C23semidirect
534. #66923C23semidirect
795. C2×#547D11semidirect
947. C22×#41C2×D11semidirect
964. #547C2×D11semidirect
984. C2×C4⋊Q8C2×D11semidirect
1042. C2×#123C2×D11semidirect
1043. C2×#123C2×D11semidirect
1044. C2×#123C2×D11semidirect
1078. C2×C22⋊Q8C2×D11semidirect
1079. C2×C22⋊Q8C2×D11semidirect
1089. C2×#121C2×D11semidirect
1108. C2×C4×D4C2×D11semidirect
1109. C2×C4×D4C2×D11semidirect
1122. C22×C4⋊C4C2×D11semidirect
1123. C22×C4⋊C4C2×D11semidirect
1196. C2×#41C22×D11semidirect
1255. C4⋊Q8C22×D11semidirect
1311. #123C22×D11semidirect
1312. #123C22×D11semidirect
1313. #123C22×D11semidirect
1346. C22⋊Q8C22×D11semidirect
1347. C22⋊Q8C22×D11semidirect
1357. #121C22×D11semidirect
1376. C4×D4C22×D11semidirect
1377. C4×D4C22×D11semidirect
1440. C2×C4⋊C4C22×D11semidirect
1441. C2×C4⋊C4C22×D11semidirect
1509. C2×C11#3535semidirect
1761. C11C2×#3535semidirect
1959. C2#13082817direct (N × H)

Maximal subgroups

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

subgroupindex
#130828172
C2×#106231772
C2×#106232662
C2×#106231982
C2×#106231522
C2×#106230422
C2×#106231672
C2×#106231812
C2×#106230442
C2×#106230872
C2×#106231902
C2×#106231892
C2×#106233552
C2×#106231412
C2×#106233602
C2×#106232602
C2×#106231652
C2×#106231712
C2×#106231932
C2×#106230462
C2×#106231332
C2×#106231912
C2×#106230952
C2×#106231442
C2×#106231792
C2×#106233562
C2×#106233592
C2×D11×#1232
C22×#669492
C2×C11×#5472
C2×#353511