Finite Group Databasebeta

← C2×#13082831 #15660992

Subgroups — C2×#13082831 #15660992

Order 2816.

7962 conjugacy classes of subgroups.

The subgroup lattice has 2088 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082831C2132yesmaximal, direct product factor
2C2×#10623198C211yesmaximal, characteristic, complemented
3C2×#10623152C211yesmaximal, characteristic, complemented
4C2×#10623152C211yesmaximal, characteristic, complemented
5C2×#10623215C211yesmaximal, characteristic, complemented
6C2×#10623070C211yesmaximal, characteristic, complemented
7C2×#10623167C211yesmaximal, characteristic, complemented
8C2×#10623083C211yesmaximal, characteristic, complemented
9C2×#10623129C211yesmaximal, characteristic, complemented
10C2×#10623355C211yesmaximal, characteristic, complemented
11C2×#10623186C211yesmaximal, characteristic, complemented
12C2×#10623337C211yesmaximal, characteristic, complemented
13C2×#10623021C211yesmaximal, characteristic, complemented
14C2×#10623021C211yesmaximal, characteristic, complemented
15C2×#10623122C211yesmaximal, characteristic, complemented
16C2×#10623122C211yesmaximal, characteristic, complemented
17C2×#10623014C211yesmaximal, characteristic, complemented
18C2×#10623165C211yesmaximal, characteristic, complemented
19C2×#10623193C211yesmaximal, characteristic, complemented
20C2×#10623200C211yesmaximal, characteristic, complemented
21C2×#10623196C211yesmaximal, characteristic, complemented
22C2×#10623095C211yesmaximal, characteristic, complemented
23C2×#10623124C211yesmaximal, characteristic, complemented
24C2×#10623091C211yesmaximal, characteristic, complemented
25C2×#10623139C211yesmaximal, characteristic, complemented
26C2×#10623364C211yesmaximal, characteristic, complemented
27C2×#10623128C211yesmaximal, characteristic, complemented
28C2×#10623128C211yesmaximal, characteristic, complemented
29C2×#10623117C211yesmaximal, characteristic, complemented
30C22×#66931C211yesmaximal, characteristic, complemented
31C22×#66992C211yesmaximal, characteristic, complemented
32C2×C11×#546C211yesmaximal, characteristic, complemented
33C22×C11×#41C2211yescharacteristic, complemented
34C23×D4×C11C2211yescharacteristic
35C23×C22⋊D11C2211yescharacteristic
36C23×C22⋊D11C2211yescharacteristic
37C24×Dic11C2211yescharacteristic
38C22×#4341C2211yescharacteristic, complemented
39C22×#4341C2211yescharacteristic, complemented
40C22×#4341C2211yescharacteristic, complemented
41C22×#4341C2211yescharacteristic, complemented
42C22×#4339C2211yescharacteristic, complemented
43C22×#4339C2211yescharacteristic, complemented
44C23×Dic22C2211yescharacteristic, complemented
45C11×#546C22116yescomplemented
46C2×C11×#124C2211yescharacteristic, complemented
47C2×C11×#123C2211yescharacteristic, complemented
48C2×C11×#123C2211yescharacteristic, complemented
49C2×C11×C22⋊Q8C2211yescharacteristic
50C2×C11×#121C2211yescharacteristic, complemented
51C2×C11×#121C2211yescharacteristic, complemented
52C2×C11×#121C2211yescharacteristic, complemented
53C2×C11×#120C2211yescharacteristic
54C2×C11×#120C2211yescharacteristic
55C2×C4×D4×C11C2211yescharacteristic
56C2×C4×D4×C11C2211yescharacteristic, complemented
57C22×C11×C22⋊C4C2211yescharacteristic
58C22×C11×C22⋊C4C2211yescharacteristic
59C2×#67006C2211yescharacteristic
60C2×#67006C2211yescharacteristic
61C22×C22⋊Dic11C2211yescharacteristic
62C22×C22⋊Dic11C2211yescharacteristic
63C22×C22⋊Dic11C2211yescharacteristic
64#10623364C22116yescomplemented
65#10623355C22116yescomplemented
66C2×#66999C2211yescharacteristic, complemented
67C2×#66999C2211yescharacteristic, complemented
68C2×#66999C2211yescharacteristic, complemented
69C2×#66997C2211yescharacteristic, complemented
70#10623337C22116yescomplemented
71C2×#66992C2211yescharacteristic
72C2×#66992C2211yescharacteristic
73C2×#66992C2211yescharacteristic
74C2×#66992C2211yescharacteristic
75C2×#66992C2211yescharacteristic
76C2×#66992C2211yescharacteristic
77C2×#66992C2211yescharacteristic
78C2×#66992C2211yescharacteristic
79C2×#66992C2211yescharacteristic
80C2×#66992C22116yescomplemented
81C2×#66992C2211yescharacteristic, complemented
82C2×#66992C2211yescharacteristic, complemented
83C2×#66992C2211yescharacteristic, complemented
84C2×#66992C2211yescharacteristic, complemented
85C2×#66992C2211yescharacteristic, complemented
86C2×#66992C2211yescharacteristic, complemented
87C2×#66992C2211yescharacteristic, complemented
88C2×#66992C2211yescharacteristic, complemented
89C2×#66991C2211yescharacteristic, complemented
90C2×#66991C2211yescharacteristic, complemented
91C2×#66991C2211yescharacteristic, complemented
92C2×#66991C2211yescharacteristic, complemented
93C2×#66990C2211yescharacteristic
94C2×#66989C2211yescharacteristic, complemented
95C2×#66989C2211yescharacteristic, complemented
96C2×#66988C2211yescharacteristic, complemented
97C2×#66988C2211yescharacteristic, complemented
98C2×#66988C2211yescharacteristic, complemented
99C2×#66988C2211yescharacteristic, complemented
100C2×D4×Dic11C2211yescharacteristic
101C2×D4×Dic11C2211yescharacteristic
102C2×D4×Dic11C2211yescharacteristic, complemented
103C2×D4×Dic11C2211yescharacteristic, complemented
104C2×#66983C2211yescharacteristic, complemented
105C2×#66983C2211yescharacteristic, complemented
106C2×#66983C2211yescharacteristic, complemented
107C2×#66982C2211yescharacteristic, complemented
108C2×#66982C2211yescharacteristic, complemented
109C2×#66982C2211yescharacteristic, complemented
110C2×C4×C22⋊D11C2211yescharacteristic
111C2×C4×C22⋊D11C2211yescharacteristic, complemented
112C2×C4×C22⋊D11C2211yescharacteristic, complemented
113C22×(C2×D11)⋊C4C2211yescharacteristic
114C22×C4⋊Dic11C2211yescharacteristic, complemented
115C2×#66977C2211yescharacteristic
116C2×#66977C2211yescharacteristic, complemented
117C2×#66977C2211yescharacteristic, complemented
118C2×#66977C2211yescharacteristic, complemented
119C2×#66977C2211yescharacteristic, complemented
120C2×#66977C2211yescharacteristic, complemented
121C22×Dic11⋊C4C2211yescharacteristic
122C22×Dic11⋊C4C2211yescharacteristic, complemented
123C22×Dic11⋊C4C2211yescharacteristic, complemented
124C22×Dic11⋊C4C2211yescharacteristic, complemented
125#10623215C22116yescomplemented
126#10623200C22116yescomplemented
127#10623198C22116yescomplemented
128#10623196C22116yescomplemented
129#10623193C22116yescomplemented
130#10623186C22116yescomplemented
131#10623167C22116yescomplemented
132#10623165C22116yescomplemented
133#10623152C22116yescomplemented
134#10623152C22116yescomplemented
135#10623139C22116yescomplemented
136#10623129C22116yescomplemented
137#10623128C22116yescomplemented
138#10623128C22116yescomplemented
139#10623124C22116yescomplemented
140#10623122C22116yescomplemented
141#10623122C22116yescomplemented
142#10623117C22116yescomplemented
143#10623095C22116yescomplemented
144#10623091C22116yescomplemented
145#10623083C22116yescomplemented
146#10623070C22116yescomplemented
147C2×#66951C2211yescharacteristic, complemented
148C2×#66950C2211yescharacteristic, complemented
149C2×#66950C2211yescharacteristic, complemented
150C2×#66949C2211yescharacteristic, complemented
151C2×#66949C2211yescharacteristic, complemented
152C2×#66949C2211yescharacteristic, complemented
153C2×#66949C2211yescharacteristic, complemented
154C2×#66949C2211yescharacteristic, complemented
155C2×#66949C2211yescharacteristic, complemented
156C2×#66947C2211yescharacteristic, complemented
157C2×C4⋊C4×D11C2211yescharacteristic, complemented
158C2×#66943C2211yescharacteristic, complemented
159C2×#66942C2211yescharacteristic, complemented
160C2×#66942C2211yescharacteristic, complemented
161C2×#66941C2211yescharacteristic, complemented
162C2×#66940C2211yescharacteristic, complemented
163C2×#66939C2211yescharacteristic, complemented
164C2×#66939C2211yescharacteristic, complemented
165C2×#66939C2211yescharacteristic, complemented
166C2×#66938C2211yescharacteristic, complemented
167C2×#66938C2211yescharacteristic, complemented
168C2×#66938C2211yescharacteristic, complemented
169C2×#66938C2211yescharacteristic, complemented
170C2×#66938C2211yescharacteristic, complemented
171C2×#66938C2211yescharacteristic, complemented
172#10623021C22116yescomplemented
173#10623021C22116yescomplemented
174C2×#66937C2211yescharacteristic, complemented
175C2×#66937C2211yescharacteristic, complemented
176C2×#66937C2211yescharacteristic, complemented
177C2×#66937C2211yescharacteristic, complemented
178C2×#66937C2211yescharacteristic, complemented
179C2×#66936C2211yescharacteristic, complemented
180C2×#66936C2211yescharacteristic, complemented
181C2×#66936C2211yescharacteristic, complemented
182C2×#66936C2211yescharacteristic, complemented
183C2×#66936C2211yescharacteristic, complemented
184C2×#66935C2211yescharacteristic
185C2×(C22⋊D11)⋊C4C2211yescharacteristic
186C2×(C22⋊D11)⋊C4C2211yescharacteristic
187C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
188C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
189C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
190C2×C22⋊C4×D11C2211yescharacteristic
191C2×C22⋊C4×D11C2211yescharacteristic
192#10623014C22116yescomplemented
193C2×#66932C2211yescharacteristic, complemented
194C2×#66932C2211yescharacteristic, complemented
195C2×#66931C2211yescharacteristic
196C2×#66931C2211yescharacteristic
197C2×#66931C2211yescharacteristic
198C2×#66931C2211yescharacteristic
199C2×#66931C2211yescharacteristic
200C2×#66931C2211yescharacteristic
201C2×#66931C2211yescharacteristic
202C2×#66931C22116yescomplemented
203C2×#66931C2211yescharacteristic, complemented
204C2×#66931C2211yescharacteristic, complemented
205C2×#66931C2211yescharacteristic, complemented
206C2×#66931C2211yescharacteristic, complemented
207C2×#66931C2211yescharacteristic, complemented
208C2×#66931C2211yescharacteristic, complemented
209C2×#66931C2211yescharacteristic, complemented
210C2×#66931C2211yescharacteristic, complemented
211C2×#66931C2211yescharacteristic, complemented
212C2×#66931C2211yescharacteristic, complemented
213C2×#66931C2211yescharacteristic, complemented
214C2×#66930C2211yescharacteristic, complemented
215C2×#66929C2211yescharacteristic, complemented
216C2×#66928C2211yescharacteristic, complemented
217C2×#66923C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C25×C11C2311yescharacteristic
220C25×C11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C2×C11×#41—44no—
223C2×C11×#41C2318yescomplemented
224C22×Q8×C11C2311yescharacteristic
225C22×D4×C11—44no—
226C22×D4×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C22×D4×C11C2311yescharacteristic
231C22×D4×C11C2311yescharacteristic
232C22×D4×C11C2311yescharacteristic
233C22×D4×C11C2311yescharacteristic
234C22×D4×C11C2311yescharacteristic
235C22×D4×C11C2318yes—
236C23×C4×C11C2311yescharacteristic
237C23×C4×C11C2311yescharacteristic
238C23×C4×C11C2311yescharacteristic
239C23×C4×C11C2311yescharacteristic
240C23×C4×C11C2311yescharacteristic
241C23×C4×C11C2311yescharacteristic
242C22×C22⋊D11—44no—
243C22×C22⋊D11—44no—
244C22×C22⋊D11C2311yescharacteristic
245C22×C22⋊D11C2311yescharacteristic
246C22×C22⋊D11C2311yescharacteristic
247C22×C22⋊D11C2311yescharacteristic
248C22×C22⋊D11C2311yescharacteristic
249C22×C22⋊D11C2311yescharacteristic
250C22×C22⋊D11C2311yescharacteristic
251C22×C22⋊D11C2311yescharacteristic
252C22×C22⋊D11C2311yescharacteristic
253C22×C22⋊D11C2311yescharacteristic
254C22×C22⋊D11C2311yescharacteristic
255C22×C22⋊D11C2311yescharacteristic
256C22×C22⋊D11C2311yescharacteristic
257C22×C22⋊D11C2311yescharacteristic
258C22×C22⋊D11C2318yes—
259C22×C22⋊D11C2318yes—
260C22×C22⋊D11C2311yescharacteristic
261C22×C22⋊D11C2311yescharacteristic
262C23×Dic11—44no—
263C23×Dic11C2311yescharacteristic
264C23×Dic11C2311yescharacteristic
265C23×Dic11C2311yescharacteristic
266C23×Dic11C2311yescharacteristic
267C23×Dic11C2311yescharacteristic
268C23×Dic11C2311yescharacteristic
269C23×Dic11C2311yescharacteristic
270C23×Dic11C2311yescharacteristic
271C23×Dic11C2311yescharacteristic
272C23×Dic11C2311yescharacteristic
273C23×Dic11C2318yes—
274C23×Dic11C2311yescharacteristic
275C23×Dic11C2311yescharacteristic
276C23×Dic11C2311yescharacteristic
277C2×#4341—44no—
278C2×#4341—44no—
279C2×#4341—44no—
280C2×#4341—44no—
281C2×#4341C2318yescomplemented
282C2×#4341C2318yescomplemented
283C2×#4341C2318yescomplemented
284C2×#4341C2318yescomplemented
285C2×#4339—44no—
286C2×#4339—44no—
287C2×#4339C2318yescomplemented
288C2×#4339C2318yescomplemented
289C22×D44C2311yescharacteristic
290C22×D44C2311yescharacteristic
291C22×C4×D11C2311yescharacteristic
292C22×C4×D11C2311yescharacteristic
293C22×C4×D11C2311yescharacteristic
294C22×C4×D11C2311yescharacteristic
295C22×C4×D11C2311yescharacteristic
296C22×C4×D11C2311yescharacteristic
297C22×C4×D11C2311yescharacteristic
298C22×Dic22—44no—
299C22×Dic22C2311yescharacteristic
300C22×Dic22C2311yescharacteristic
301C22×Dic22C2311yescharacteristic
302C22×Dic22C2311yescharacteristic
303C22×Dic22C2311yescharacteristic
304C22×Dic22C2311yescharacteristic
305C22×Dic22C2311yescharacteristic
306C22×Dic22C2311yescharacteristic
307C22×Dic22C2318yescomplemented
308C11×#124C2318yescomplemented
309C11×#123C2318yescomplemented
310C11×#123C2318yescomplemented
311C11×C22⋊Q8C2318yes—
312C11×#121C2318yescomplemented
313C11×#121C2318yescomplemented
314C11×#121C2318yescomplemented
315C11×#120C2318yes—
316C11×#120C2318yes—
317C4×D4×C11C2318yes—
318C4×D4×C11C2318yescomplemented
319C2×C11×C4⋊C4C2311yescharacteristic
320C2×C11×C4⋊C4C2311yescharacteristic
321C2×C11×C4⋊C4C2311yescharacteristic
322C2×C11×C4⋊C4C2311yescharacteristic
323C2×C11×C22⋊C4C2311yescharacteristic
324C2×C11×C22⋊C4C2311yescharacteristic
325C2×C11×C22⋊C4C2311yescharacteristic
326C2×C11×C22⋊C4C2311yescharacteristic
327C2×C11×C22⋊C4C2311yescharacteristic
328C2×C11×C22⋊C4C2311yescharacteristic
329C2×C11×C22⋊C4C2311yescharacteristic
330C2×C11×C22⋊C4C2311yescharacteristic
331C2×C11×C22⋊C4C2311yescharacteristic
332C2×C11×C22⋊C4C2318yes—
333C2×C11×C22⋊C4C2311yescharacteristic
334C2×C11×C22⋊C4C2311yescharacteristic
335C2×C11×C22⋊C4C2311yescharacteristic
336C2×C11×C22⋊C4C2318yes—
337C2×C42×C11C2311yescharacteristic
338#67006C2318yes—
339#67006C2318yes—
340C2×C22⋊Dic11C2311yescharacteristic
341C2×C22⋊Dic11C2311yescharacteristic
342C2×C22⋊Dic11C2311yescharacteristic
343C2×C22⋊Dic11C2311yescharacteristic
344C2×C22⋊Dic11C2311yescharacteristic
345C2×C22⋊Dic11C2311yescharacteristic
346C2×C22⋊Dic11C2311yescharacteristic
347C2×C22⋊Dic11C2311yescharacteristic
348C2×C22⋊Dic11C2318yes—
349C2×C22⋊Dic11C2311yescharacteristic
350C2×C22⋊Dic11C2311yescharacteristic
351C2×C22⋊Dic11C2311yescharacteristic
352C2×C22⋊Dic11C2311yescharacteristic
353C2×C22⋊Dic11C2311yescharacteristic
354C2×C22⋊Dic11C2311yescharacteristic
355C2×C22⋊Dic11C2318yes—
356C2×C22⋊Dic11C2318yes—
357C2×C22⋊Dic11C2311yescharacteristic
358C2×C22⋊Dic11C2311yescharacteristic
359C2×C22⋊Dic11C2311yescharacteristic
360C2×C22⋊Dic11C2311yescharacteristic
361#66999C2318yescomplemented
362#66999C2318yescomplemented
363#66999C2318yescomplemented
364#66997C2318yescomplemented
365#66992C2318yes—
366#66992C2318yes—
367#66992C2318yes—
368#66992C2318yes—
369#66992C2318yes—
370#66992C2318yes—
371#66992C2318yes—
372#66992C2318yes—
373#66992C2318yes—
374#66992C2318yescomplemented
375#66992C2318yescomplemented
376#66992C2318yescomplemented
377#66992C2318yescomplemented
378#66992C2318yescomplemented
379#66992C2318yescomplemented
380#66992C2318yescomplemented
381#66992C2318yescomplemented
382#66991C2318yescomplemented
383#66991C2318yescomplemented
384#66991C2318yescomplemented
385#66991C2318yescomplemented
386#66990C2318yes—
387#66989C2318yescomplemented
388#66989C2318yescomplemented
389#66988C2318yescomplemented
390#66988C2318yescomplemented
391#66988C2318yescomplemented
392#66988C2318yescomplemented
393D4×Dic11C2318yes—
394D4×Dic11C2318yes—
395D4×Dic11C2318yescomplemented
396D4×Dic11C2318yescomplemented
397#66983C2318yescomplemented
398#66983C2318yescomplemented
399#66983C2318yescomplemented
400#66982C2318yescomplemented
401#66982C2318yescomplemented
402#66982C2318yescomplemented
403C4×C22⋊D11C2318yes—
404C4×C22⋊D11C2318yescomplemented
405C4×C22⋊D11C2318yescomplemented
406C2×(C2×D11)⋊C4C2311yescharacteristic
407C2×(C2×D11)⋊C4C2311yescharacteristic
408C2×(C2×D11)⋊C4C2311yescharacteristic
409C2×(C2×D11)⋊C4C2311yescharacteristic
410C2×(C2×D11)⋊C4C2311yescharacteristic
411C2×(C2×D11)⋊C4C2311yescharacteristic
412C2×(C2×D11)⋊C4C2311yescharacteristic
413C2×(C2×D11)⋊C4C2311yescharacteristic
414C2×(C2×D11)⋊C4C2311yescharacteristic
415C2×(C2×D11)⋊C4C2311yescharacteristic
416C2×(C2×D11)⋊C4C2311yescharacteristic
417C2×(C2×D11)⋊C4C2311yescharacteristic
418C2×(C2×D11)⋊C4C2311yescharacteristic
419C2×(C2×D11)⋊C4C2311yescharacteristic
420C2×(C2×D11)⋊C4C2311yescharacteristic
421C2×(C2×D11)⋊C4C2311yescharacteristic
422C2×(C2×D11)⋊C4C2318yes—
423C2×C4⋊Dic11C2311yescharacteristic
424C2×C4⋊Dic11C2311yescharacteristic
425C2×C4⋊Dic11C2311yescharacteristic
426C2×C4⋊Dic11C2311yescharacteristic
427C2×C4⋊Dic11C2311yescharacteristic
428C2×C4⋊Dic11C2311yescharacteristic
429C2×C4⋊Dic11C2311yescharacteristic
430C2×C4⋊Dic11C2311yescharacteristic
431C2×C4⋊Dic11C2311yescharacteristic
432C2×C4⋊Dic11C2311yescharacteristic
433C2×C4⋊Dic11C2318yescomplemented
434#66977C2318yes—
435#66977C2318yescomplemented
436#66977C2318yescomplemented
437#66977C2318yescomplemented
438#66977C2318yescomplemented
439#66977C2318yescomplemented
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⋊C4C2311yescharacteristic
454C2×Dic11⋊C4C2311yescharacteristic
455C2×Dic11⋊C4C2311yescharacteristic
456C2×Dic11⋊C4C2311yescharacteristic
457C2×Dic11⋊C4C2311yescharacteristic
458C2×Dic11⋊C4C2311yescharacteristic
459C2×Dic11⋊C4C2311yescharacteristic
460C2×Dic11⋊C4C2311yescharacteristic
461C2×Dic11⋊C4C2311yescharacteristic
462C2×Dic11⋊C4C2311yescharacteristic
463C2×Dic11⋊C4C2311yescharacteristic
464C2×Dic11⋊C4C2318yes—
465C2×Dic11⋊C4C2318yescomplemented
466C2×Dic11⋊C4C2318yescomplemented
467C2×Dic11⋊C4C2318yescomplemented
468C2×C4×Dic11C2311yescharacteristic
469C2×C4×Dic11C2311yescharacteristic
470C2×C4×Dic11C2311yescharacteristic
471C2×C4×Dic11C2311yescharacteristic
472C2×C4×Dic11C2311yescharacteristic
473#66951C2318yescomplemented
474#66950C2318yescomplemented
475#66950C2318yescomplemented
476#66949C2318yescomplemented
477#66949C2318yescomplemented
478#66949C2318yescomplemented
479#66949C2318yescomplemented
480#66949C2318yescomplemented
481#66949C2318yescomplemented
482#66947C2318yescomplemented
483C4⋊C4×D11C2318yescomplemented
484#66943C2318yescomplemented
485#66942C2318yescomplemented
486#66942C2318yescomplemented
487#66941C2318yescomplemented
488#66940C2318yescomplemented
489#66939C2318yescomplemented
490#66939C2318yescomplemented
491#66939C2318yescomplemented
492#66938C2318yescomplemented
493#66938C2318yescomplemented
494#66938C2318yescomplemented
495#66938C2318yescomplemented
496#66938C2318yescomplemented
497#66938C2318yescomplemented
498#66937C2318yescomplemented
499#66937C2318yescomplemented
500#66937C2318yescomplemented
501#66937C2318yescomplemented
502#66937C2318yescomplemented
503#66936C2318yescomplemented
504#66936C2318yescomplemented
505#66936C2318yescomplemented
506#66936C2318yescomplemented
507#66936C2318yescomplemented
508#66935C2318yes—
509(C22⋊D11)⋊C4C2318yes—
510(C22⋊D11)⋊C4C2318yes—
511(C22⋊D11)⋊C4C2318yescomplemented
512(C22⋊D11)⋊C4C2318yescomplemented
513(C22⋊D11)⋊C4C2318yescomplemented
514C22⋊C4×D11C2318yes—
515C22⋊C4×D11C2318yes—
516#66932C2318yescomplemented
517#66932C2318yescomplemented
518#66931C2318yes—
519#66931C2318yes—
520#66931C2318yes—
521#66931C2318yes—
522#66931C2318yes—
523#66931C2318yes—
524#66931C2318yes—
525#66931C2318yescomplemented
526#66931C2318yescomplemented
527#66931C2318yescomplemented
528#66931C2318yescomplemented
529#66931C2318yescomplemented
530#66931C2318yescomplemented
531#66931C2318yescomplemented
532#66931C2318yescomplemented
533#66931C2318yescomplemented
534#66931C2318yescomplemented
535#66931C2318yescomplemented
536#66930C2318yescomplemented
537#66929C2318yescomplemented
538#66928C2318yescomplemented
539#66923C2318yescomplemented
540C4×Dic22C2318yescomplemented
541C2×#3536—111nomaximal, Sylow
542C24×C11—24no—
543C24×C11—24no—
544C24×C11—24no—
545C24×C11—42no—
546C24×C11—42no—
547C24×C11—42no—
548C24×C11C2411yescharacteristic
549C24×C11C2411yescharacteristic
550C24×C11C2411yescharacteristic
551C24×C11C2411yescharacteristic
552C24×C11C2414yes—
553C24×C11C2411yescharacteristic
554C24×C11C2411yescharacteristic
555C24×C11C2414yes—
556C23×D11—24no—
557C23×D11—42no—
558C23×D11—42no—
559C23×D11C2411yescharacteristic
560C23×D11C2411yescharacteristic
561C23×D11C2411yescharacteristic
562C23×D11C2414yes—
563C11×#41—416no—
564C2×Q8×C11—42no—
565C2×Q8×C11C2414yes—
566C2×D4×C11—24no—
567C2×D4×C11—24no—
568C2×D4×C11—24no—
569C2×D4×C11—24no—
570C2×D4×C11—42no—
571C2×D4×C11—42no—
572C2×D4×C11—42no—
573C2×D4×C11—42no—
574C2×D4×C11—42no—
575C2×D4×C11—416no—
576C2×D4×C11C2414yes—
577C2×D4×C11C2414yes—
578C2×D4×C11C2414yes—
579C2×D4×C11C2414yes—
580C2×D4×C11C2414yes—
581C2×D4×C11C2414yes—
582C2×D4×C11C2414yes—
583C2×D4×C11C2414yes—
584C2×D4×C11C2414yes—
585C22×C4×C11—24no—
586C22×C4×C11—42no—
587C22×C4×C11—42no—
588C22×C4×C11—42no—
589C22×C4×C11—42no—
590C22×C4×C11—42no—
591C22×C4×C11C2411yescharacteristic
592C22×C4×C11C2411yescharacteristic
593C22×C4×C11C2411yescharacteristic
594C22×C4×C11C2411yescharacteristic
595C22×C4×C11C2411yescharacteristic
596C22×C4×C11C2411yescharacteristic
597C22×C4×C11C2411yescharacteristic
598C22×C4×C11C2411yescharacteristic
599C22×C4×C11C2411yescharacteristic
600C22×C4×C11C2414yes—
601C22×C4×C11C2414yes—
602C22×C4×C11C2414yes—
603C22×C4×C11C2414yes—
604C22×C4×C11C2414yes—
605C22×C4×C11C2414yes—
606C2×C22⋊D11—24no—
607C2×C22⋊D11—24no—
608C2×C22⋊D11—24no—
609C2×C22⋊D11—24no—
610C2×C22⋊D11—24no—
611C2×C22⋊D11—24no—
612C2×C22⋊D11—42no—
613C2×C22⋊D11—42no—
614C2×C22⋊D11—42no—
615C2×C22⋊D11—42no—
616C2×C22⋊D11—42no—
617C2×C22⋊D11—42no—
618C2×C22⋊D11—42no—
619C2×C22⋊D11—42no—
620C2×C22⋊D11—42no—
621C2×C22⋊D11—42no—
622C2×C22⋊D11—416no—
623C2×C22⋊D11—416no—
624C2×C22⋊D11C2414yes—
625C2×C22⋊D11C2414yes—
626C2×C22⋊D11C2414yes—
627C2×C22⋊D11C2414yes—
628C2×C22⋊D11C2414yes—
629C2×C22⋊D11C2414yes—
630C2×C22⋊D11C2414yes—
631C2×C22⋊D11C2414yes—
632C2×C22⋊D11C2414yes—
633C2×C22⋊D11C2414yes—
634C2×C22⋊D11C2414yes—
635C2×C22⋊D11C2414yes—
636C2×C22⋊D11C2414yes—
637C2×C22⋊D11C2414yes—
638C2×C22⋊D11C2414yes—
639C2×C22⋊D11C2414yes—
640C22×Dic11—24no—
641C22×Dic11—24no—
642C22×Dic11—24no—
643C22×Dic11—24no—
644C22×Dic11—24no—
645C22×Dic11—42no—
646C22×Dic11—42no—
647C22×Dic11—42no—
648C22×Dic11—42no—
649C22×Dic11—42no—
650C22×Dic11—42no—
651C22×Dic11—42no—
652C22×Dic11—42no—
653C22×Dic11—416no—
654C22×Dic11C2414yes—
655C22×Dic11C2414yes—
656C22×Dic11C2414yes—
657C22×Dic11C2414yes—
658C22×Dic11C2414yes—
659C22×Dic11C2411yescharacteristic
660C22×Dic11C2411yescharacteristic
661C22×Dic11C2411yescharacteristic
662C22×Dic11C2411yescharacteristic
663C22×Dic11C2411yescharacteristic
664C22×Dic11C2411yescharacteristic
665C22×Dic11C2411yescharacteristic
666C22×Dic11C2411yescharacteristic
667C22×Dic11C2411yescharacteristic
668C22×Dic11C2411yescharacteristic
669C22×Dic11C2411yescharacteristic
670C22×Dic11C2411yescharacteristic
671C22×Dic11C2414yes—
672C22×Dic11C2414yes—
673C22×Dic11C2414yes—
674C22×Dic11C2414yes—
675C22×Dic11C2414yes—
676C22×Dic11C2414yes—
677C22×Dic11C2414yes—
678C22×Dic11C2414yes—
679C22×Dic11C2411yescharacteristic
680#4341—416no—
681#4341—416no—
682#4341—416no—
683#4341—416no—
684#4339—416no—
685#4339—416no—
686C2×D44—42no—
687C2×D44—42no—
688C2×D44C2414yes—
689C2×D44C2414yes—
690C2×C4×D11—24no—
691C2×C4×D11—42no—
692C2×C4×D11—42no—
693C2×C4×D11—42no—
694C2×C4×D11—42no—
695C2×C4×D11—42no—
696C2×C4×D11—42no—
697C2×C4×D11C2414yes—
698C2×C4×D11C2414yes—
699C2×C4×D11C2414yes—
700C2×C4×D11C2414yes—
701C2×C4×D11C2414yes—
702C2×C4×D11C2414yes—
703C2×C4×D11C2414yes—
704C2×Dic22—24no—
705C2×Dic22—24no—
706C2×Dic22—42no—
707C2×Dic22—42no—
708C2×Dic22—42no—
709C2×Dic22—42no—
710C2×Dic22—42no—
711C2×Dic22—42no—
712C2×Dic22—416no—
713C2×Dic22C2414yes—
714C2×Dic22C2414yes—
715C2×Dic22C2414yes—
716C2×Dic22C2414yes—
717C2×Dic22C2414yes—
718C2×Dic22C2414yes—
719C2×Dic22C2414yes—
720C2×Dic22C2414yes—
721C11×C4⋊C4C2414yes—
722C11×C4⋊C4C2414yes—
723C11×C4⋊C4C2414yes—
724C11×C4⋊C4C2414yes—
725C11×C22⋊C4C2414yes—
726C11×C22⋊C4C2414yes—
727C11×C22⋊C4C2414yes—
728C11×C22⋊C4C2414yes—
729C11×C22⋊C4C2414yes—
730C11×C22⋊C4C2414yes—
731C11×C22⋊C4C2414yes—
732C11×C22⋊C4C2414yes—
733C11×C22⋊C4C2414yes—
734C11×C22⋊C4C2414yes—
735C11×C22⋊C4C2414yes—
736C11×C22⋊C4C2414yes—
737C42×C11C2414yes—
738C22⋊Dic11C2414yes—
739C22⋊Dic11C2414yes—
740C22⋊Dic11C2414yes—
741C22⋊Dic11C2414yes—
742C22⋊Dic11C2414yes—
743C22⋊Dic11C2414yes—
744C22⋊Dic11C2414yes—
745C22⋊Dic11C2414yes—
746C22⋊Dic11C2414yes—
747C22⋊Dic11C2414yes—
748C22⋊Dic11C2414yes—
749C22⋊Dic11C2414yes—
750C22⋊Dic11C2414yes—
751C22⋊Dic11C2414yes—
752C22⋊Dic11C2414yes—
753C22⋊Dic11C2414yes—
754C22⋊Dic11C2414yes—
755C22⋊Dic11C2414yes—
756(C2×D11)⋊C4C2414yes—
757(C2×D11)⋊C4C2414yes—
758(C2×D11)⋊C4C2414yes—
759(C2×D11)⋊C4C2414yes—
760(C2×D11)⋊C4C2414yes—
761(C2×D11)⋊C4C2414yes—
762(C2×D11)⋊C4C2414yes—
763(C2×D11)⋊C4C2414yes—
764(C2×D11)⋊C4C2414yes—
765(C2×D11)⋊C4C2414yes—
766(C2×D11)⋊C4C2414yes—
767(C2×D11)⋊C4C2414yes—
768(C2×D11)⋊C4C2414yes—
769(C2×D11)⋊C4C2414yes—
770(C2×D11)⋊C4C2414yes—
771(C2×D11)⋊C4C2414yes—
772C4⋊Dic11C2414yes—
773C4⋊Dic11C2414yes—
774C4⋊Dic11C2414yes—
775C4⋊Dic11C2414yes—
776C4⋊Dic11C2414yes—
777C4⋊Dic11C2414yes—
778C4⋊Dic11C2414yes—
779C4⋊Dic11C2414yes—
780C4⋊Dic11C2414yes—
781C4⋊Dic11C2414yes—
782Dic11⋊C4C2414yes—
783Dic11⋊C4C2414yes—
784Dic11⋊C4C2414yes—
785Dic11⋊C4C2414yes—
786Dic11⋊C4C2414yes—
787Dic11⋊C4C2414yes—
788Dic11⋊C4C2414yes—
789Dic11⋊C4C2414yes—
790Dic11⋊C4C2414yes—
791Dic11⋊C4C2414yes—
792Dic11⋊C4C2414yes—
793Dic11⋊C4C2414yes—
794Dic11⋊C4C2414yes—
795Dic11⋊C4C2414yes—
796Dic11⋊C4C2414yes—
797Dic11⋊C4C2414yes—
798Dic11⋊C4C2414yes—
799Dic11⋊C4C2414yes—
800Dic11⋊C4C2414yes—
801Dic11⋊C4C2414yes—
802Dic11⋊C4C2414yes—
803Dic11⋊C4C2414yes—
804Dic11⋊C4C2414yes—
805Dic11⋊C4C2414yes—
806C4×Dic11C2414yes—
807C4×Dic11C2414yes—
808C4×Dic11C2414yes—
809C4×Dic11C2414yes—
810C4×Dic11C2414yes—
811#3536—1132no—
812C2×#562—111no—
813C2×#562—111no—
814C2×#562—111no—
815C2×#562—111no—
816C2×#554—111no—
817C2×#554—111no—
818C2×#548—111no—
819C2×#548—111no—
820C2×#547—111no—
821C2×#547—111no—
822C2×#546—111no—
823C2×#546—111no—
824C2×#546—111no—
825C2×#546—111no—
826C2×#546—111no—
827C2×#546D1111yescharacteristic, complemented
828C2×#543—111no—
829C2×#543—111no—
830C2×#542—111no—
831C2×#542—111no—
832C2×#539—111no—
833C2×#539—111no—
834C2×#538—111no—
835C2×#538—111no—
836C2×#537—111no—
837C2×#537—111no—
838C2×#537—111no—
839C2×#537—111no—
840C2×#525—111no—
841C22×C22⋊Q8—111no—
842C22×#121—111no—
843C23×C11—22no—
844C23×C11—22no—
845C23×C11—22no—
846C23×C11—22no—
847C23×C11—22no—
848C23×C11—22no—
849C23×C11—22no—
850C23×C11—22no—
851C23×C11—22no—
852C23×C11—22no—
853C23×C11—28no—
854C23×C11—22no—
855C23×C11—22no—
856C23×C11—22no—
857C23×C11—28no—
858C23×C11—22no—
859C23×C11—22no—
860C23×C11—22no—
861C23×C11—28no—
862C23×C11—44no—
863C23×C11—44no—
864C23×C11—44no—
865C23×C11—416no—
866C23×C11—88no—
867C23×C11H(5,𝔽2)14yes—
868C23×C112−1+414yes—
869C23×C11C2512yes—
870C23×C11C2512yes—
871C23×C11C2512yes—
872C23×C11C2512yes—
873C23×C11C2512yes—
874C23×C11C2512yes—
875C23×C11C2511yescharacteristic
876C22×D11—22no—
877C22×D11—22no—
878C22×D11—22no—
879C22×D11—22no—
880C22×D11—22no—
881C22×D11—22no—
882C22×D11—22no—
883C22×D11—22no—
884C22×D11—22no—
885C22×D11—28no—
886C22×D11—44no—
887C22×D11—44no—
888C22×D11—88no—
889C22×D11C2512yes—
890C22×D11C2512yes—
891C22×D11C2512yes—
892Q8×C11—44no—
893D4×C11—28no—
894D4×C11—28no—
895D4×C11—28no—
896D4×C11—28no—
897D4×C11—44no—
898D4×C11—44no—
899D4×C11—44no—
900D4×C11—44no—
901D4×C11—44no—
902C2×C4×C11—22no—
903C2×C4×C11—22no—
904C2×C4×C11—22no—
905C2×C4×C11—22no—
906C2×C4×C11—22no—
907C2×C4×C11—22no—
908C2×C4×C11—22no—
909C2×C4×C11—28no—
910C2×C4×C11—22no—
911C2×C4×C11—22no—
912C2×C4×C11—44no—
913C2×C4×C11—44no—
914C2×C4×C11—44no—
915C2×C4×C11—44no—
916C2×C4×C11—44no—
917C2×C4×C11C2512yes—
918C2×C4×C11C2512yes—
919C2×C4×C11C2512yes—
920C2×C4×C11C2512yes—
921C2×C4×C11C2512yes—
922C2×C4×C11C2512yes—
923C2×C4×C11C2512yes—
924C2×C4×C11C2512yes—
925C2×C4×C11C2512yes—
926C22⋊D11—28no—
927C22⋊D11—28no—
928C22⋊D11—28no—
929C22⋊D11—28no—
930C22⋊D11—28no—
931C22⋊D11—28no—
932C22⋊D11—44no—
933C22⋊D11—44no—
934C22⋊D11—44no—
935C22⋊D11—44no—
936C22⋊D11—44no—
937C22⋊D11—44no—
938C22⋊D11—44no—
939C22⋊D11—44no—
940C22⋊D11—44no—
941C22⋊D11—44no—
942C2×Dic11—22no—
943C2×Dic11—22no—
944C2×Dic11—22no—
945C2×Dic11—22no—
946C2×Dic11—22no—
947C2×Dic11—22no—
948C2×Dic11—22no—
949C2×Dic11—22no—
950C2×Dic11—22no—
951C2×Dic11—22no—
952C2×Dic11—28no—
953C2×Dic11—22no—
954C2×Dic11—22no—
955C2×Dic11—28no—
956C2×Dic11—28no—
957C2×Dic11—28no—
958C2×Dic11—28no—
959C2×Dic11—44no—
960C2×Dic11—44no—
961C2×Dic11—44no—
962C2×Dic11—44no—
963C2×Dic11—44no—
964C2×Dic11—44no—
965C2×Dic11—44no—
966C2×Dic11—44no—
967C2×Dic11H(5,𝔽2)14yes—
968C2×Dic11C2512yes—
969C2×Dic11C2512yes—
970C2×Dic11C2512yes—
971C2×Dic11C2512yes—
972C2×Dic11C2512yes—
973C2×Dic11C2512yes—
974C2×Dic11C2512yes—
975C2×Dic11C2512yes—
976C2×Dic11C2512yes—
977C2×Dic11C2512yes—
978C2×Dic11C2512yes—
979C2×Dic11C2512yes—
980C2×Dic11C2512yes—
981D44—44no—
982D44—44no—
983C4×D11—28no—
984C4×D11—44no—
985C4×D11—44no—
986C4×D11—44no—
987C4×D11—44no—
988C4×D11—44no—
989C4×D11—44no—
990Dic22—28no—
991Dic22—28no—
992Dic22—44no—
993Dic22—44no—
994Dic22—44no—
995Dic22—44no—
996Dic22—44no—
997Dic22—44no—
998C22×#41—111no—
999C22×#41—111no—
1000C22×#41—111no—
1001C22×#41—111no—
1002C22×#41—111no—
1003C22×#41—111no—
1004C22×#41C2×D1111yescharacteristic, complemented
1005C23×Q8—111no—
1006C23×D4—111no—
1007C23×D4—111no—
1008C23×D4C2×D1111yescharacteristic
1009C24×C4—111no—
1010#562—1116no—
1011#562—1116no—
1012#562—1116no—
1013#562—1116no—
1014#554—1116no—
1015#554—1116no—
1016#548—1116no—
1017#548—1116no—
1018#547—1116no—
1019#547—1116no—
1020#546—1116no—
1021#546—1116no—
1022#546—1116no—
1023#546—1116no—
1024#546—1116no—
1025#546C2×D11116yescomplemented
1026#543—1116no—
1027#543—1116no—
1028#542—1116no—
1029#542—1116no—
1030#539—1116no—
1031#539—1116no—
1032#538—1116no—
1033#538—1116no—
1034#537—1116no—
1035#537—1116no—
1036#537—1116no—
1037#537—1116no—
1038C2×C4⋊Q8—111no—
1039C2×C4⋊Q8—111no—
1040C2×#126—111no—
1041C2×#126—111no—
1042C2×#126—111no—
1043C2×#126—111no—
1044C2×#125—111no—
1045C2×#125—111no—
1046C2×#125—111no—
1047C2×#125—111no—
1048C2×#124—111no—
1049C2×#124—111no—
1050C2×#124—111no—
1051C2×#124—111no—
1052C2×#124—111no—
1053C2×#124—111no—
1054C2×#124—111no—
1055C2×#124—111no—
1056C2×#124—111no—
1057C2×#124C2×D1111yescharacteristic, complemented
1058#525—1116no—
1059C2×#123—111no—
1060C2×#123—111no—
1061C2×#123—111no—
1062C2×#123—111no—
1063C2×#123—111no—
1064C2×#123—111no—
1065C2×#123—111no—
1066C2×#123—111no—
1067C2×#123—111no—
1068C2×#123—111no—
1069C2×#123—111no—
1070C2×#123—111no—
1071C2×#123—111no—
1072C2×#123—111no—
1073C2×#123—111no—
1074C2×#123—111no—
1075C2×#123C2×D1111yescharacteristic, complemented
1076C2×#123C2×D1111yescharacteristic, complemented
1077C2×C22⋊Q8—111no—
1078C2×C22⋊Q8—111no—
1079C2×C22⋊Q8—111no—
1080C2×C22⋊Q8—111no—
1081C2×C22⋊Q8—111no—
1082C2×C22⋊Q8—111no—
1083C2×C22⋊Q8—111no—
1084C2×C22⋊Q8—111no—
1085C2×C22⋊Q8—111no—
1086C2×C22⋊Q8—111no—
1087C2×C22⋊Q8—111no—
1088C2×C22⋊Q8—111no—
1089C2×C22⋊Q8—111no—
1090C2×C22⋊Q8—111no—
1091C2×C22⋊Q8—111no—
1092C2×C22⋊Q8—111no—
1093C2×C22⋊Q8—111no—
1094C2×C22⋊Q8—111no—
1095C2×C22⋊Q8—111no—
1096C2×C22⋊Q8—111no—
1097C2×C22⋊Q8—111no—
1098C2×C22⋊Q8—111no—
1099C2×C22⋊Q8—111no—
1100C2×C22⋊Q8—111no—
1101C2×C22⋊Q8—111no—
1102C2×C22⋊Q8—111no—
1103C2×C22⋊Q8—111no—
1104C2×C22⋊Q8—111no—
1105C2×C22⋊Q8—1116no—
1106C2×C22⋊Q8—111no—
1107C2×C22⋊Q8—111no—
1108C2×C22⋊Q8—111no—
1109C2×C22⋊Q8—111no—
1110C2×C22⋊Q8—111no—
1111C2×C22⋊Q8—111no—
1112C2×C22⋊Q8—111no—
1113C2×C22⋊Q8C2×D1111yescharacteristic
1114C2×#121—111no—
1115C2×#121—111no—
1116C2×#121—111no—
1117C2×#121—111no—
1118C2×#121—111no—
1119C2×#121—111no—
1120C2×#121—111no—
1121C2×#121—111no—
1122C2×#121—111no—
1123C2×#121—111no—
1124C2×#121—111no—
1125C2×#121—111no—
1126C2×#121—111no—
1127C2×#121—1116no—
1128C2×#121—111no—
1129C2×#121—111no—
1130C2×#121—111no—
1131C2×#121—111no—
1132C2×#121—111no—
1133C2×#121—111no—
1134C2×#121—111no—
1135C2×#121—111no—
1136C2×#121—111no—
1137C2×#121—111no—
1138C2×#121—111no—
1139C2×#121—111no—
1140C2×#121—111no—
1141C2×#121—111no—
1142C2×#121—111no—
1143C2×#121—111no—
1144C2×#121C2×D1111yescharacteristic, complemented
1145C2×#121C2×D1111yescharacteristic, complemented
1146C2×#121C2×D1111yescharacteristic, complemented
1147C2×#120—111no—
1148C2×#120—111no—
1149C2×#120—111no—
1150C2×#120—111no—
1151C2×#120C2×D1111yescharacteristic
1152C2×#120C2×D1111yescharacteristic
1153C2×C4×Q8—111no—
1154C2×C4×Q8—111no—
1155C2×C4×D4—111no—
1156C2×C4×D4—111no—
1157C2×C4×D4—111no—
1158C2×C4×D4—111no—
1159C2×C4×D4—111no—
1160C2×C4×D4—111no—
1161C2×C4×D4—111no—
1162C2×C4×D4—111no—
1163C2×C4×D4—111no—
1164C2×C4×D4—111no—
1165C2×C4×D4—111no—
1166C2×C4×D4—111no—
1167C2×C4×D4C2×D1111yescharacteristic
1168C2×C4×D4C2×D1111yescharacteristic, complemented
1169C2×#117—111no—
1170C22×C4⋊C4—111no—
1171C22×C4⋊C4—111no—
1172C22×C4⋊C4—111no—
1173C22×C4⋊C4—111no—
1174C22×C4⋊C4—111no—
1175C22×C4⋊C4—111no—
1176C22×C22⋊C4—111no—
1177C22×C22⋊C4—111no—
1178C22×C22⋊C4—111no—
1179C22×C22⋊C4—111no—
1180C22×C22⋊C4—111no—
1181C22×C22⋊C4—111no—
1182C22×C22⋊C4C2×D1111yescharacteristic
1183C22×C22⋊C4C2×D1111yescharacteristic
1184C22×C11—22no—
1185C22×C11—22no—
1186C22×C11—22no—
1187C22×C11—22no—
1188C22×C11—28no—
1189C22×C11—28no—
1190C22×C11—22no—
1191C22×C11—22no—
1192C22×C11—22no—
1193C22×C11—22no—
1194C22×C11—22no—
1195C22×C11—22no—
1196C22×C11—22no—
1197C22×C11—22no—
1198C22×C11—22no—
1199C22×C11—22no—
1200C22×C11—22no—
1201C22×C11—22no—
1202C22×C11—416no—
1203C22×C11—44no—
1204C22×C11—44no—
1205C22×C11—44no—
1206C22×C11—44no—
1207C22×C11—88no—
1208C22×C11C2×H(5,𝔽2)14yes—
1209C22×C11C2×H(5,𝔽2)12yes—
1210C22×C11C2×H(5,𝔽2)12yes—
1211C22×C11C2×2−1+414yes—
1212C22×C11C2×2−1+412yes—
1213C22×C11C2611yescharacteristic
1214C2×D11—22no—
1215C2×D11—22no—
1216C2×D11—22no—
1217C2×D11—22no—
1218C2×D11—22no—
1219C2×D11—22no—
1220C2×D11—22no—
1221C2×D11—22no—
1222C2×D11—22no—
1223C2×D11—44no—
1224C2×D11—44no—
1225C2×D11—44no—
1226C2×D11—88no—
1227C4×C11—22no—
1228C4×C11—22no—
1229C4×C11—22no—
1230C4×C11—22no—
1231C4×C11—22no—
1232C4×C11—22no—
1233C4×C11—22no—
1234C4×C11—22no—
1235C4×C11—22no—
1236Dic11—22no—
1237Dic11—22no—
1238Dic11—22no—
1239Dic11—22no—
1240Dic11—22no—
1241Dic11—22no—
1242Dic11—22no—
1243Dic11—22no—
1244Dic11—22no—
1245Dic11—22no—
1246Dic11—22no—
1247Dic11—22no—
1248Dic11C2×H(5,𝔽2)14yes—
1249C25—111no—
1250C25C22×D1111yescharacteristic
1251C25C22×D1111yescharacteristic
1252C2×#41—44no—
1253C2×#41—118no—
1254C2×#41—118no—
1255C2×#41—118no—
1256C2×#41—118no—
1257C2×#41—118no—
1258C2×#41—118no—
1259C2×#41—444no—
1260C2×#41—444no—
1261C2×#41—444no—
1262C2×#41—444no—
1263C2×#41—444no—
1264C2×#41—444no—
1265C2×#41C22×D1118yescomplemented
1266C22×Q8—111no—
1267C22×Q8—111no—
1268C22×Q8—111no—
1269C22×Q8—111no—
1270C22×Q8—111no—
1271C22×Q8—111no—
1272C22×Q8—111no—
1273C22×Q8—111no—
1274C22×Q8—118no—
1275C22×Q8—444no—
1276C22×Q8C22×D1111yescharacteristic
1277C22×D4—44no—
1278C22×D4—111no—
1279C22×D4—111no—
1280C22×D4—111no—
1281C22×D4—111no—
1282C22×D4—111no—
1283C22×D4—111no—
1284C22×D4—111no—
1285C22×D4—111no—
1286C22×D4—111no—
1287C22×D4—111no—
1288C22×D4—111no—
1289C22×D4—111no—
1290C22×D4—111no—
1291C22×D4—111no—
1292C22×D4—111no—
1293C22×D4—111no—
1294C22×D4—118no—
1295C22×D4—118no—
1296C22×D4—111no—
1297C22×D4—111no—
1298C22×D4—444no—
1299C22×D4—444no—
1300C22×D4C22×D1111yescharacteristic
1301C22×D4C22×D1111yescharacteristic
1302C22×D4C22×D1111yescharacteristic
1303C22×D4C22×D1111yescharacteristic
1304C22×D4C22×D1111yescharacteristic
1305C22×D4C22×D1111yescharacteristic
1306C22×D4C22×D1111yescharacteristic
1307C22×D4C22×D1111yescharacteristic
1308C22×D4C22×D1111yescharacteristic
1309C22×D4C22×D1118yes—
1310C23×C4—111no—
1311C23×C4—111no—
1312C23×C4—111no—
1313C23×C4—111no—
1314C23×C4—111no—
1315C23×C4—111no—
1316C23×C4—111no—
1317C23×C4—111no—
1318C23×C4—111no—
1319C23×C4—111no—
1320C23×C4—111no—
1321C23×C4—111no—
1322C23×C4—111no—
1323C23×C4—118no—
1324C23×C4—111no—
1325C23×C4—111no—
1326C23×C4—111no—
1327C23×C4—111no—
1328C23×C4—111no—
1329C23×C4—111no—
1330C23×C4—111no—
1331C23×C4—444no—
1332C23×C4C22×D1111yescharacteristic
1333C23×C4C22×D1111yescharacteristic
1334C23×C4C22×D1111yescharacteristic
1335C23×C4C22×D1111yescharacteristic
1336C23×C4C22×D1111yescharacteristic
1337C23×C4C22×D1111yescharacteristic
1338C4⋊Q8—118no—
1339C4⋊Q8—118no—
1340#126—118no—
1341#126—118no—
1342#126—118no—
1343#126—118no—
1344#125—118no—
1345#125—118no—
1346#125—118no—
1347#125—118no—
1348#124—118no—
1349#124—118no—
1350#124—118no—
1351#124—118no—
1352#124—118no—
1353#124—118no—
1354#124—118no—
1355#124—118no—
1356#124—118no—
1357#124C22×D1118yescomplemented
1358#123—118no—
1359#123—118no—
1360#123—118no—
1361#123—118no—
1362#123—118no—
1363#123—118no—
1364#123—118no—
1365#123—118no—
1366#123—118no—
1367#123—118no—
1368#123—118no—
1369#123—118no—
1370#123—118no—
1371#123—118no—
1372#123—118no—
1373#123—118no—
1374#123C22×D1118yescomplemented
1375#123C22×D1118yescomplemented
1376C22⋊Q8—118no—
1377C22⋊Q8—118no—
1378C22⋊Q8—118no—
1379C22⋊Q8—118no—
1380C22⋊Q8—118no—
1381C22⋊Q8—118no—
1382C22⋊Q8—118no—
1383C22⋊Q8—118no—
1384C22⋊Q8—118no—
1385C22⋊Q8—118no—
1386C22⋊Q8—118no—
1387C22⋊Q8—118no—
1388C22⋊Q8—118no—
1389C22⋊Q8—118no—
1390C22⋊Q8—118no—
1391C22⋊Q8—118no—
1392C22⋊Q8—118no—
1393C22⋊Q8—118no—
1394C22⋊Q8—118no—
1395C22⋊Q8—118no—
1396C22⋊Q8—118no—
1397C22⋊Q8—118no—
1398C22⋊Q8—118no—
1399C22⋊Q8—118no—
1400C22⋊Q8—118no—
1401C22⋊Q8—118no—
1402C22⋊Q8—118no—
1403C22⋊Q8—118no—
1404C22⋊Q8—118no—
1405C22⋊Q8—118no—
1406C22⋊Q8—118no—
1407C22⋊Q8—118no—
1408C22⋊Q8—118no—
1409C22⋊Q8—118no—
1410C22⋊Q8—118no—
1411C22⋊Q8C22×D1118yes—
1412#121—118no—
1413#121—118no—
1414#121—118no—
1415#121—118no—
1416#121—118no—
1417#121—118no—
1418#121—118no—
1419#121—118no—
1420#121—118no—
1421#121—118no—
1422#121—118no—
1423#121—118no—
1424#121—118no—
1425#121—118no—
1426#121—118no—
1427#121—118no—
1428#121—118no—
1429#121—118no—
1430#121—118no—
1431#121—118no—
1432#121—118no—
1433#121—118no—
1434#121—118no—
1435#121—118no—
1436#121—118no—
1437#121—118no—
1438#121—118no—
1439#121—118no—
1440#121—118no—
1441#121C22×D1118yescomplemented
1442#121C22×D1118yescomplemented
1443#121C22×D1118yescomplemented
1444#120—118no—
1445#120—118no—
1446#120—118no—
1447#120—118no—
1448#120C22×D1118yes—
1449#120C22×D1118yes—
1450C4×Q8—118no—
1451C4×Q8—118no—
1452C4×D4—118no—
1453C4×D4—118no—
1454C4×D4—118no—
1455C4×D4—118no—
1456C4×D4—118no—
1457C4×D4—118no—
1458C4×D4—118no—
1459C4×D4—118no—
1460C4×D4—118no—
1461C4×D4—118no—
1462C4×D4—118no—
1463C4×D4—118no—
1464C4×D4C22×D1118yes—
1465C4×D4C22×D1118yescomplemented
1466#117—118no—
1467C2×C4⋊C4—111no—
1468C2×C4⋊C4—111no—
1469C2×C4⋊C4—111no—
1470C2×C4⋊C4—111no—
1471C2×C4⋊C4—111no—
1472C2×C4⋊C4—111no—
1473C2×C4⋊C4—118no—
1474C2×C4⋊C4—111no—
1475C2×C4⋊C4—111no—
1476C2×C4⋊C4—111no—
1477C2×C4⋊C4—111no—
1478C2×C4⋊C4—111no—
1479C2×C4⋊C4—111no—
1480C2×C4⋊C4—111no—
1481C2×C4⋊C4—111no—
1482C2×C4⋊C4—111no—
1483C2×C4⋊C4—111no—
1484C2×C4⋊C4—111no—
1485C2×C4⋊C4—111no—
1486C2×C4⋊C4—111no—
1487C2×C4⋊C4—118no—
1488C2×C4⋊C4—118no—
1489C2×C4⋊C4—118no—
1490C2×C4⋊C4—118no—
1491C2×C4⋊C4—111no—
1492C2×C4⋊C4—111no—
1493C2×C4⋊C4—111no—
1494C2×C4⋊C4—111no—
1495C2×C4⋊C4—111no—
1496C2×C4⋊C4—111no—
1497C2×C4⋊C4—111no—
1498C2×C4⋊C4—111no—
1499C2×C4⋊C4—111no—
1500C2×C4⋊C4—111no—
1501C2×C4⋊C4—111no—
1502C2×C4⋊C4—111no—
1503C2×C4⋊C4—111no—
1504C2×C4⋊C4—111no—
1505C2×C4⋊C4—111no—
1506C2×C4⋊C4—118no—
1507C2×C4⋊C4C22×D1111yescharacteristic
1508C2×C4⋊C4C22×D1111yescharacteristic
1509C2×C4⋊C4C22×D1111yescharacteristic
1510C2×C4⋊C4C22×D1111yescharacteristic
1511C2×C22⋊C4—111no—
1512C2×C22⋊C4—111no—
1513C2×C22⋊C4—111no—
1514C2×C22⋊C4—111no—
1515C2×C22⋊C4—111no—
1516C2×C22⋊C4—111no—
1517C2×C22⋊C4—111no—
1518C2×C22⋊C4—111no—
1519C2×C22⋊C4—111no—
1520C2×C22⋊C4—111no—
1521C2×C22⋊C4—111no—
1522C2×C22⋊C4—118no—
1523C2×C22⋊C4—118no—
1524C2×C22⋊C4—118no—
1525C2×C22⋊C4—111no—
1526C2×C22⋊C4—111no—
1527C2×C22⋊C4—111no—
1528C2×C22⋊C4—111no—
1529C2×C22⋊C4—111no—
1530C2×C22⋊C4—111no—
1531C2×C22⋊C4—111no—
1532C2×C22⋊C4—111no—
1533C2×C22⋊C4—111no—
1534C2×C22⋊C4—111no—
1535C2×C22⋊C4—111no—
1536C2×C22⋊C4—111no—
1537C2×C22⋊C4—111no—
1538C2×C22⋊C4—111no—
1539C2×C22⋊C4—111no—
1540C2×C22⋊C4—118no—
1541C2×C22⋊C4—111no—
1542C2×C22⋊C4—111no—
1543C2×C22⋊C4—111no—
1544C2×C22⋊C4—111no—
1545C2×C22⋊C4—111no—
1546C2×C22⋊C4—111no—
1547C2×C22⋊C4—111no—
1548C2×C22⋊C4—111no—
1549C2×C22⋊C4—118no—
1550C2×C22⋊C4—118no—
1551C2×C22⋊C4C22×D1111yescharacteristic
1552C2×C22⋊C4C22×D1111yescharacteristic
1553C2×C22⋊C4C22×D1111yescharacteristic
1554C2×C22⋊C4C22×D1111yescharacteristic
1555C2×C22⋊C4C22×D1111yescharacteristic
1556C2×C22⋊C4C22×D1111yescharacteristic
1557C2×C22⋊C4C22×D1111yescharacteristic
1558C2×C22⋊C4C22×D1118yes—
1559C2×C22⋊C4C22×D1118yes—
1560C2×C22⋊C4C22×D1111yescharacteristic
1561C2×C22⋊C4C22×D1111yescharacteristic
1562C2×C22⋊C4C22×D1111yescharacteristic
1563C2×C22⋊C4C22×D1111yescharacteristic
1564C2×C22⋊C4C22×D1111yescharacteristic
1565C2×C42—111no—
1566C2×C42—111no—
1567C2×C42—111no—
1568C2×C42—111no—
1569C2×C42—111no—
1570C2×C42C22×D1111yescharacteristic
1571C2×C11—24no—
1572C2×C11—24no—
1573C2×C11—42no—
1574C2×C11—42no—
1575C2×C11—42no—
1576C2×C11—42no—
1577C2×C11#353614yescomplemented
1578C2×C11C22×H(5,𝔽2)11yescharacteristic
1579C2×C11C22×H(5,𝔽2)11yescharacteristic
1580C2×C11C22×2−1+411yescharacteristic
1581D11—42no—
1582D11—42no—
1583D11—42no—
1584C24—24no—
1585C24—24no—
1586C24—24no—
1587C24—42no—
1588C24—42no—
1589C24—42no—
1590C24—111no—
1591C24—111no—
1592C24—111no—
1593C24—114no—
1594C24—224no—
1595C24—442no—
1596C24—442no—
1597C24C23×D1111yescharacteristic
1598C24C23×D1111yescharacteristic
1599C24C23×D1111yescharacteristic
1600C24C23×D1111yescharacteristic
1601C24C23×D1114yes—
1602C24C23×D1111yescharacteristic
1603C24C23×D1111yescharacteristic
1604C24C23×D1114yes—
1605#41—416no—
1606#41—4416no—
1607#41—4416no—
1608#41—4416no—
1609#41—4416no—
1610#41—4416no—
1611#41—4416no—
1612C2×Q8—42no—
1613C2×Q8—114no—
1614C2×Q8—114no—
1615C2×Q8—114no—
1616C2×Q8—114no—
1617C2×Q8—114no—
1618C2×Q8—114no—
1619C2×Q8—114no—
1620C2×Q8—114no—
1621C2×Q8—224no—
1622C2×Q8—224no—
1623C2×Q8—442no—
1624C2×Q8—442no—
1625C2×Q8—442no—
1626C2×Q8—442no—
1627C2×Q8—442no—
1628C2×Q8—442no—
1629C2×Q8—4416no—
1630C2×Q8C23×D1114yes—
1631C2×D4—24no—
1632C2×D4—24no—
1633C2×D4—24no—
1634C2×D4—24no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—416no—
1641C2×D4—114no—
1642C2×D4—114no—
1643C2×D4—114no—
1644C2×D4—114no—
1645C2×D4—114no—
1646C2×D4—114no—
1647C2×D4—114no—
1648C2×D4—114no—
1649C2×D4—114no—
1650C2×D4—114no—
1651C2×D4—114no—
1652C2×D4—114no—
1653C2×D4—114no—
1654C2×D4—114no—
1655C2×D4—114no—
1656C2×D4—114no—
1657C2×D4—114no—
1658C2×D4—114no—
1659C2×D4—224no—
1660C2×D4—224no—
1661C2×D4—224no—
1662C2×D4—224no—
1663C2×D4—224no—
1664C2×D4—224no—
1665C2×D4—442no—
1666C2×D4—442no—
1667C2×D4—4416no—
1668C2×D4—442no—
1669C2×D4—442no—
1670C2×D4—442no—
1671C2×D4—442no—
1672C2×D4—442no—
1673C2×D4—442no—
1674C2×D4—442no—
1675C2×D4—442no—
1676C2×D4—442no—
1677C2×D4—442no—
1678C2×D4—4416no—
1679C2×D4C23×D1114yes—
1680C2×D4C23×D1114yes—
1681C2×D4C23×D1114yes—
1682C2×D4C23×D1114yes—
1683C2×D4C23×D1114yes—
1684C2×D4C23×D1114yes—
1685C2×D4C23×D1114yes—
1686C2×D4C23×D1114yes—
1687C2×D4C23×D1114yes—
1688C22×C4—24no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—111no—
1695C22×C4—114no—
1696C22×C4—114no—
1697C22×C4—114no—
1698C22×C4—114no—
1699C22×C4—114no—
1700C22×C4—111no—
1701C22×C4—111no—
1702C22×C4—111no—
1703C22×C4—111no—
1704C22×C4—111no—
1705C22×C4—111no—
1706C22×C4—111no—
1707C22×C4—111no—
1708C22×C4—111no—
1709C22×C4—111no—
1710C22×C4—111no—
1711C22×C4—111no—
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—224no—
1728C22×C4—224no—
1729C22×C4—224no—
1730C22×C4—224no—
1731C22×C4—224no—
1732C22×C4—224no—
1733C22×C4—442no—
1734C22×C4—442no—
1735C22×C4—442no—
1736C22×C4—442no—
1737C22×C4—442no—
1738C22×C4—442no—
1739C22×C4—4416no—
1740C22×C4—442no—
1741C22×C4—442no—
1742C22×C4—442no—
1743C22×C4—442no—
1744C22×C4—442no—
1745C22×C4—442no—
1746C22×C4—442no—
1747C22×C4—442no—
1748C22×C4C23×D1114yes—
1749C22×C4C23×D1111yescharacteristic
1750C22×C4C23×D1111yescharacteristic
1751C22×C4C23×D1111yescharacteristic
1752C22×C4C23×D1111yescharacteristic
1753C22×C4C23×D1111yescharacteristic
1754C22×C4C23×D1111yescharacteristic
1755C22×C4C23×D1111yescharacteristic
1756C22×C4C23×D1111yescharacteristic
1757C22×C4C23×D1111yescharacteristic
1758C22×C4C23×D1114yes—
1759C22×C4C23×D1114yes—
1760C22×C4C23×D1114yes—
1761C22×C4C23×D1114yes—
1762C22×C4C23×D1114yes—
1763C4⋊C4—114no—
1764C4⋊C4—114no—
1765C4⋊C4—114no—
1766C4⋊C4—114no—
1767C4⋊C4—114no—
1768C4⋊C4—114no—
1769C4⋊C4—114no—
1770C4⋊C4—114no—
1771C4⋊C4—114no—
1772C4⋊C4—114no—
1773C4⋊C4—114no—
1774C4⋊C4—114no—
1775C4⋊C4—114no—
1776C4⋊C4—114no—
1777C4⋊C4—114no—
1778C4⋊C4—114no—
1779C4⋊C4—114no—
1780C4⋊C4—114no—
1781C4⋊C4—114no—
1782C4⋊C4—114no—
1783C4⋊C4—114no—
1784C4⋊C4—114no—
1785C4⋊C4—114no—
1786C4⋊C4—114no—
1787C4⋊C4—114no—
1788C4⋊C4—114no—
1789C4⋊C4—114no—
1790C4⋊C4—114no—
1791C4⋊C4—114no—
1792C4⋊C4—114no—
1793C4⋊C4—114no—
1794C4⋊C4—114no—
1795C4⋊C4—114no—
1796C4⋊C4—114no—
1797C4⋊C4C23×D1114yes—
1798C4⋊C4C23×D1114yes—
1799C4⋊C4C23×D1114yes—
1800C4⋊C4C23×D1114yes—
1801C22⋊C4—114no—
1802C22⋊C4—114no—
1803C22⋊C4—114no—
1804C22⋊C4—114no—
1805C22⋊C4—114no—
1806C22⋊C4—114no—
1807C22⋊C4—114no—
1808C22⋊C4—114no—
1809C22⋊C4—114no—
1810C22⋊C4—114no—
1811C22⋊C4—114no—
1812C22⋊C4—114no—
1813C22⋊C4—114no—
1814C22⋊C4—114no—
1815C22⋊C4—114no—
1816C22⋊C4—114no—
1817C22⋊C4—114no—
1818C22⋊C4—114no—
1819C22⋊C4—114no—
1820C22⋊C4—114no—
1821C22⋊C4—114no—
1822C22⋊C4—114no—
1823C22⋊C4—114no—
1824C22⋊C4—114no—
1825C22⋊C4—114no—
1826C22⋊C4—114no—
1827C22⋊C4—114no—
1828C22⋊C4—114no—
1829C22⋊C4—114no—
1830C22⋊C4—114no—
1831C22⋊C4—114no—
1832C22⋊C4—114no—
1833C22⋊C4—114no—
1834C22⋊C4—114no—
1835C22⋊C4C23×D1114yes—
1836C22⋊C4C23×D1114yes—
1837C22⋊C4C23×D1114yes—
1838C22⋊C4C23×D1114yes—
1839C22⋊C4C23×D1114yes—
1840C22⋊C4C23×D1114yes—
1841C22⋊C4C23×D1114yes—
1842C22⋊C4C23×D1114yes—
1843C22⋊C4C23×D1114yes—
1844C22⋊C4C23×D1114yes—
1845C22⋊C4C23×D1114yes—
1846C22⋊C4C23×D1114yes—
1847C42—114no—
1848C42—114no—
1849C42—114no—
1850C42—114no—
1851C42—114no—
1852C42C23×D1114yes—
1853C11C2×#353611yescharacteristic, complemented, Sylow
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—28no—
1862C23—22no—
1863C23—22no—
1864C23—28no—
1865C23—22no—
1866C23—22no—
1867C23—22no—
1868C23—22no—
1869C23—22no—
1870C23—22no—
1871C23—22no—
1872C23—28no—
1873C23—44no—
1874C23—44no—
1875C23—44no—
1876C23—416no—
1877C23—88no—
1878C23—112no—
1879C23—112no—
1880C23—112no—
1881C23—222no—
1882C23—222no—
1883C23—222no—
1884C23—222no—
1885C23—222no—
1886C23—222no—
1887C23—222no—
1888C23—222no—
1889C23—222no—
1890C23—228no—
1891C23—444no—
1892C23—444no—
1893C23—888no—
1894C23#6703714yes—
1895C23#6704314yes—
1896C23C24×D1112yes—
1897C23C24×D1112yes—
1898C23C24×D1112yes—
1899C23C24×D1112yes—
1900C23C24×D1112yes—
1901C23C24×D1112yes—
1902C23C24×D1111yescharacteristic
1903Q8—44no—
1904Q8—228no—
1905Q8—228no—
1906Q8—444no—
1907Q8—444no—
1908Q8—444no—
1909Q8—444no—
1910Q8—444no—
1911Q8—444no—
1912D4—28no—
1913D4—28no—
1914D4—28no—
1915D4—28no—
1916D4—44no—
1917D4—44no—
1918D4—44no—
1919D4—44no—
1920D4—44no—
1921D4—228no—
1922D4—228no—
1923D4—228no—
1924D4—228no—
1925D4—228no—
1926D4—228no—
1927D4—444no—
1928D4—444no—
1929D4—444no—
1930D4—444no—
1931D4—444no—
1932D4—444no—
1933D4—444no—
1934D4—444no—
1935D4—444no—
1936D4—444no—
1937D4—444no—
1938D4—444no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—28no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—44no—
1950C2×C4—44no—
1951C2×C4—44no—
1952C2×C4—44no—
1953C2×C4—44no—
1954C2×C4—114no—
1955C2×C4—112no—
1956C2×C4—112no—
1957C2×C4—112no—
1958C2×C4—112no—
1959C2×C4—112no—
1960C2×C4—112no—
1961C2×C4—112no—
1962C2×C4—112no—
1963C2×C4—112no—
1964C2×C4—112no—
1965C2×C4—112no—
1966C2×C4—112no—
1967C2×C4—112no—
1968C2×C4—228no—
1969C2×C4—228no—
1970C2×C4—228no—
1971C2×C4—228no—
1972C2×C4—228no—
1973C2×C4—222no—
1974C2×C4—222no—
1975C2×C4—228no—
1976C2×C4—222no—
1977C2×C4—222no—
1978C2×C4—222no—
1979C2×C4—222no—
1980C2×C4—222no—
1981C2×C4—222no—
1982C2×C4—222no—
1983C2×C4—222no—
1984C2×C4—222no—
1985C2×C4—222no—
1986C2×C4—444no—
1987C2×C4—444no—
1988C2×C4—444no—
1989C2×C4—444no—
1990C2×C4—444no—
1991C2×C4—444no—
1992C2×C4—444no—
1993C2×C4—444no—
1994C2×C4—444no—
1995C2×C4—444no—
1996C2×C4—444no—
1997C2×C4—444no—
1998C2×C4—444no—
1999C2×C4—444no—
2000C2×C4C24×D1112yes—
2001C2×C4C24×D1112yes—
2002C2×C4C24×D1112yes—
2003C2×C4C24×D1112yes—
2004C2×C4C24×D1112yes—
2005C2×C4C24×D1112yes—
2006C2×C4C24×D1112yes—
2007C2×C4C24×D1112yes—
2008C2×C4C24×D1112yes—
2009C22—22no—
2010C22—22no—
2011C22—22no—
2012C22—22no—
2013C22—28no—
2014C22—28no—
2015C22—22no—
2016C22—22no—
2017C22—22no—
2018C22—22no—
2019C22—22no—
2020C22—22no—
2021C22—22no—
2022C22—22no—
2023C22—22no—
2024C22—22no—
2025C22—22no—
2026C22—22no—
2027C22—416no—
2028C22—44no—
2029C22—44no—
2030C22—44no—
2031C22—44no—
2032C22—88no—
2033C22—222no—
2034C22—222no—
2035C22—222no—
2036C22—222no—
2037C22—222no—
2038C22—222no—
2039C22—222no—
2040C22—222no—
2041C22—222no—
2042C22—444no—
2043C22—444no—
2044C22—444no—
2045C22—888no—
2046C22C2×#6703714yes—
2047C22C2×#6703712yes—
2048C22C2×#6704314yes—
2049C22C2×#6704312yes—
2050C22D11×H(5,𝔽2)12yes—
2051C22C25×D1111yescharacteristic
2052C4—22no—
2053C4—22no—
2054C4—22no—
2055C4—22no—
2056C4—22no—
2057C4—22no—
2058C4—22no—
2059C4—22no—
2060C4—22no—
2061C4—114no—
2062C4—222no—
2063C4—222no—
2064C4—222no—
2065C4—222no—
2066C4—222no—
2067C4—222no—
2068C4—222no—
2069C4—222no—
2070C4—222no—
2071C4—222no—
2072C4—222no—
2073C4—222no—
2074C2—24no—
2075C2—24no—
2076C2—42no—
2077C2—42no—
2078C2—42no—
2079C2—42no—
2080C2—442no—
2081C2—442no—
2082C2—442no—
2083C2#1308283114yesdirect product factor
2084C2C2×D11×H(5,𝔽2)11yescharacteristic
2085C2C22×#6703711yescharacteristic
2086C2C22×#6704311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#546C2
socleC23×C11C25
hypercenterC2×#546D11
hypocenterC11C2×#3536
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #13082831C2direct (N × H)
2. C2×#10623198C2semidirect
3. C2×#10623152C2semidirect
4. C2×#10623152C2semidirect
5. C2×#10623215C2semidirect
6. C2×#10623070C2semidirect
7. C2×#10623167C2semidirect
8. C2×#10623083C2semidirect
9. C2×#10623129C2semidirect
10. C2×#10623355C2semidirect
11. C2×#10623186C2semidirect
12. C2×#10623337C2semidirect
13. C2×#10623021C2semidirect
14. C2×#10623021C2semidirect
15. C2×#10623122C2semidirect
16. C2×#10623122C2semidirect
17. C2×#10623014C2semidirect
18. C2×#10623165C2semidirect
19. C2×#10623193C2semidirect
20. C2×#10623200C2semidirect
21. C2×#10623196C2semidirect
22. C2×#10623095C2semidirect
23. C2×#10623124C2semidirect
24. C2×#10623091C2semidirect
25. C2×#10623139C2semidirect
26. C2×#10623364C2semidirect
27. C2×#10623128C2semidirect
28. C2×#10623128C2semidirect
29. C2×#10623117C2semidirect
30. C22×#66931C2semidirect
31. C22×#66992C2semidirect
32. C2×C11×#546C2semidirect
33. C22×C11×#41C22semidirect
38. C22×#4341C22semidirect
39. C22×#4341C22semidirect
40. C22×#4341C22semidirect
41. C22×#4341C22semidirect
42. C22×#4339C22semidirect
43. C22×#4339C22semidirect
44. C23×Dic22C22semidirect
45. C11×#546C22semidirect
46. C2×C11×#124C22semidirect
47. C2×C11×#123C22semidirect
48. C2×C11×#123C22semidirect
50. C2×C11×#121C22semidirect
51. C2×C11×#121C22semidirect
52. C2×C11×#121C22semidirect
56. C2×C4×D4×C11C22semidirect
64. #10623364C22semidirect
65. #10623355C22semidirect
66. C2×#66999C22semidirect
67. C2×#66999C22semidirect
68. C2×#66999C22semidirect
69. C2×#66997C22semidirect
70. #10623337C22semidirect
80. C2×#66992C22semidirect
81. C2×#66992C22semidirect
82. C2×#66992C22semidirect
83. C2×#66992C22semidirect
84. C2×#66992C22semidirect
85. C2×#66992C22semidirect
86. C2×#66992C22semidirect
87. C2×#66992C22semidirect
88. C2×#66992C22semidirect
89. C2×#66991C22semidirect
90. C2×#66991C22semidirect
91. C2×#66991C22semidirect
92. C2×#66991C22semidirect
94. C2×#66989C22semidirect
95. C2×#66989C22semidirect
96. C2×#66988C22semidirect
97. C2×#66988C22semidirect
98. C2×#66988C22semidirect
99. C2×#66988C22semidirect
102. C2×D4×Dic11C22semidirect
103. C2×D4×Dic11C22semidirect
104. C2×#66983C22semidirect
105. C2×#66983C22semidirect
106. C2×#66983C22semidirect
107. C2×#66982C22semidirect
108. C2×#66982C22semidirect
109. C2×#66982C22semidirect
111. C2×C4×C22⋊D11C22semidirect
112. C2×C4×C22⋊D11C22semidirect
114. C22×C4⋊Dic11C22semidirect
116. C2×#66977C22semidirect
117. C2×#66977C22semidirect
118. C2×#66977C22semidirect
119. C2×#66977C22semidirect
120. C2×#66977C22semidirect
122. C22×Dic11⋊C4C22semidirect
123. C22×Dic11⋊C4C22semidirect
124. C22×Dic11⋊C4C22semidirect
125. #10623215C22semidirect
126. #10623200C22semidirect
127. #10623198C22semidirect
128. #10623196C22semidirect
129. #10623193C22semidirect
130. #10623186C22semidirect
131. #10623167C22semidirect
132. #10623165C22semidirect
133. #10623152C22semidirect
134. #10623152C22semidirect
135. #10623139C22semidirect
136. #10623129C22semidirect
137. #10623128C22semidirect
138. #10623128C22semidirect
139. #10623124C22semidirect
140. #10623122C22semidirect
141. #10623122C22semidirect
142. #10623117C22semidirect
143. #10623095C22semidirect
144. #10623091C22semidirect
145. #10623083C22semidirect
146. #10623070C22semidirect
147. C2×#66951C22semidirect
148. C2×#66950C22semidirect
149. C2×#66950C22semidirect
150. C2×#66949C22semidirect
151. C2×#66949C22semidirect
152. C2×#66949C22semidirect
153. C2×#66949C22semidirect
154. C2×#66949C22semidirect
155. C2×#66949C22semidirect
156. C2×#66947C22semidirect
157. C2×C4⋊C4×D11C22semidirect
158. C2×#66943C22semidirect
159. C2×#66942C22semidirect
160. C2×#66942C22semidirect
161. C2×#66941C22semidirect
162. C2×#66940C22semidirect
163. C2×#66939C22semidirect
164. C2×#66939C22semidirect
165. C2×#66939C22semidirect
166. C2×#66938C22semidirect
167. C2×#66938C22semidirect
168. C2×#66938C22semidirect
169. C2×#66938C22semidirect
170. C2×#66938C22semidirect
171. C2×#66938C22semidirect
172. #10623021C22semidirect
173. #10623021C22semidirect
174. C2×#66937C22semidirect
175. C2×#66937C22semidirect
176. C2×#66937C22semidirect
177. C2×#66937C22semidirect
178. C2×#66937C22semidirect
179. C2×#66936C22semidirect
180. C2×#66936C22semidirect
181. C2×#66936C22semidirect
182. C2×#66936C22semidirect
183. C2×#66936C22semidirect
187. C2×(C22⋊D11)⋊C4C22semidirect
188. C2×(C22⋊D11)⋊C4C22semidirect
189. C2×(C22⋊D11)⋊C4C22semidirect
192. #10623014C22semidirect
193. C2×#66932C22semidirect
194. C2×#66932C22semidirect
202. C2×#66931C22semidirect
203. C2×#66931C22semidirect
204. C2×#66931C22semidirect
205. C2×#66931C22semidirect
206. C2×#66931C22semidirect
207. C2×#66931C22semidirect
208. C2×#66931C22semidirect
209. C2×#66931C22semidirect
210. C2×#66931C22semidirect
211. C2×#66931C22semidirect
212. C2×#66931C22semidirect
213. C2×#66931C22semidirect
214. C2×#66930C22semidirect
215. C2×#66929C22semidirect
216. C2×#66928C22semidirect
217. C2×#66923C22semidirect
218. C2×C4×Dic22C22semidirect
223. C2×C11×#41C23semidirect
281. C2×#4341C23semidirect
282. C2×#4341C23semidirect
283. C2×#4341C23semidirect
284. C2×#4341C23semidirect
287. C2×#4339C23semidirect
288. C2×#4339C23semidirect
307. C22×Dic22C23semidirect
308. C11×#124C23semidirect
309. C11×#123C23semidirect
310. C11×#123C23semidirect
312. C11×#121C23semidirect
313. C11×#121C23semidirect
314. C11×#121C23semidirect
318. C4×D4×C11C23semidirect
361. #66999C23semidirect
362. #66999C23semidirect
363. #66999C23semidirect
364. #66997C23semidirect
374. #66992C23semidirect
375. #66992C23semidirect
376. #66992C23semidirect
377. #66992C23semidirect
378. #66992C23semidirect
379. #66992C23semidirect
380. #66992C23semidirect
381. #66992C23semidirect
382. #66991C23semidirect
383. #66991C23semidirect
384. #66991C23semidirect
385. #66991C23semidirect
387. #66989C23semidirect
388. #66989C23semidirect
389. #66988C23semidirect
390. #66988C23semidirect
391. #66988C23semidirect
392. #66988C23semidirect
395. D4×Dic11C23semidirect
396. D4×Dic11C23semidirect
397. #66983C23semidirect
398. #66983C23semidirect
399. #66983C23semidirect
400. #66982C23semidirect
401. #66982C23semidirect
402. #66982C23semidirect
404. C4×C22⋊D11C23semidirect
405. C4×C22⋊D11C23semidirect
433. C2×C4⋊Dic11C23semidirect
435. #66977C23semidirect
436. #66977C23semidirect
437. #66977C23semidirect
438. #66977C23semidirect
439. #66977C23semidirect
465. C2×Dic11⋊C4C23semidirect
466. C2×Dic11⋊C4C23semidirect
467. C2×Dic11⋊C4C23semidirect
473. #66951C23semidirect
474. #66950C23semidirect
475. #66950C23semidirect
476. #66949C23semidirect
477. #66949C23semidirect
478. #66949C23semidirect
479. #66949C23semidirect
480. #66949C23semidirect
481. #66949C23semidirect
482. #66947C23semidirect
483. C4⋊C4×D11C23semidirect
484. #66943C23semidirect
485. #66942C23semidirect
486. #66942C23semidirect
487. #66941C23semidirect
488. #66940C23semidirect
489. #66939C23semidirect
490. #66939C23semidirect
491. #66939C23semidirect
492. #66938C23semidirect
493. #66938C23semidirect
494. #66938C23semidirect
495. #66938C23semidirect
496. #66938C23semidirect
497. #66938C23semidirect
498. #66937C23semidirect
499. #66937C23semidirect
500. #66937C23semidirect
501. #66937C23semidirect
502. #66937C23semidirect
503. #66936C23semidirect
504. #66936C23semidirect
505. #66936C23semidirect
506. #66936C23semidirect
507. #66936C23semidirect
511. (C22⋊D11)⋊C4C23semidirect
512. (C22⋊D11)⋊C4C23semidirect
513. (C22⋊D11)⋊C4C23semidirect
516. #66932C23semidirect
517. #66932C23semidirect
525. #66931C23semidirect
526. #66931C23semidirect
527. #66931C23semidirect
528. #66931C23semidirect
529. #66931C23semidirect
530. #66931C23semidirect
531. #66931C23semidirect
532. #66931C23semidirect
533. #66931C23semidirect
534. #66931C23semidirect
535. #66931C23semidirect
536. #66930C23semidirect
537. #66929C23semidirect
538. #66928C23semidirect
539. #66923C23semidirect
540. C4×Dic22C23semidirect
827. C2×#546D11semidirect
1004. C22×#41C2×D11semidirect
1025. #546C2×D11semidirect
1057. C2×#124C2×D11semidirect
1075. C2×#123C2×D11semidirect
1076. C2×#123C2×D11semidirect
1144. C2×#121C2×D11semidirect
1145. C2×#121C2×D11semidirect
1146. C2×#121C2×D11semidirect
1168. C2×C4×D4C2×D11semidirect
1265. C2×#41C22×D11semidirect
1357. #124C22×D11semidirect
1374. #123C22×D11semidirect
1375. #123C22×D11semidirect
1441. #121C22×D11semidirect
1442. #121C22×D11semidirect
1443. #121C22×D11semidirect
1465. C4×D4C22×D11semidirect
1577. C2×C11#3536semidirect
1853. C11C2×#3536semidirect
2083. C2#13082831direct (N × H)

Maximal subgroups

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

subgroupindex
#130828312
C2×#106231982
C2×#106231522
C2×#106232152
C2×#106230702
C2×#106231672
C2×#106230832
C2×#106231292
C2×#106233552
C2×#106231862
C2×#106233372
C2×#106230212
C2×#106231222
C2×#106230142
C2×#106231652
C2×#106231932
C2×#106232002
C2×#106231962
C2×#106230952
C2×#106231242
C2×#106230912
C2×#106231392
C2×#106233642
C2×#106231282
C2×#106231172
C22×#669312
C22×#669922
C2×C11×#5462
C2×#353611