Finite Group Databasebeta

← C2×#13082835 #15660989

Subgroups — C2×#13082835 #15660989

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#13082835C2132yesmaximal, direct product factor
2C2×#10623198C211yesmaximal, characteristic, complemented
3C2×#10623178C211yesmaximal, characteristic, complemented
4C2×#10623152C211yesmaximal, characteristic, complemented
5C2×#10623221C211yesmaximal, characteristic, complemented
6C2×#10623167C211yesmaximal, characteristic, complemented
7C2×#10623164C211yesmaximal, characteristic, complemented
8C2×#10623208C211yesmaximal, characteristic, complemented
9C2×#10623162C211yesmaximal, characteristic, complemented
10C2×#10623186C211yesmaximal, characteristic, complemented
11C2×#10623143C211yesmaximal, characteristic, complemented
12C2×#10623207C211yesmaximal, characteristic, complemented
13C2×#10623185C211yesmaximal, characteristic, complemented
14C2×#10623185C211yesmaximal, characteristic, complemented
15C2×#10623141C211yesmaximal, characteristic, complemented
16C2×#10623141C211yesmaximal, characteristic, complemented
17C2×#10623165C211yesmaximal, characteristic, complemented
18C2×#10623165C211yesmaximal, characteristic, complemented
19C2×#10623193C211yesmaximal, characteristic, complemented
20C2×#10623200C211yesmaximal, characteristic, complemented
21C2×#10623223C211yesmaximal, characteristic, complemented
22C2×#10623191C211yesmaximal, characteristic, complemented
23C2×#10623188C211yesmaximal, characteristic, complemented
24C2×#10623209C211yesmaximal, characteristic, complemented
25C2×#10623160C211yesmaximal, characteristic, complemented
26C2×#10623139C211yesmaximal, characteristic, complemented
27C2×#10623139C211yesmaximal, characteristic, complemented
28C2×#10623128C211yesmaximal, characteristic, complemented
29C2×#10623187C211yesmaximal, characteristic, complemented
30C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
31C2×D11×#121C211yesmaximal, characteristic, complemented
32C2×C11×#562C211yesmaximal, characteristic, complemented
33C22×#4343C2211yescharacteristic, complemented
34C22×Q8×D11C2211yescharacteristic, complemented
35C22×#4341C2211yescharacteristic, complemented
36C22×#4341C2211yescharacteristic, complemented
37C22×#4341C2211yescharacteristic, complemented
38C22×D4×D11C2211yescharacteristic
39C22×D4×D11C2211yescharacteristic
40C22×D4×D11C2211yescharacteristic
41C22×#4339C2211yescharacteristic, complemented
42C22×#4339C2211yescharacteristic, complemented
43C22×#4339C2211yescharacteristic, complemented
44C23×C4×D11C2211yescharacteristic
45C11×#562C22116yescomplemented
46C2×C11×#125C2211yescharacteristic, complemented
47C2×C11×#124C2211yescharacteristic, complemented
48C2×C11×#124C2211yescharacteristic, complemented
49C2×C11×#123C2211yescharacteristic, complemented
50C2×C11×#123C2211yescharacteristic, complemented
51C2×C11×#123C2211yescharacteristic, complemented
52C2×C11×#123C2211yescharacteristic, complemented
53C2×C11×C22⋊Q8C2211yescharacteristic, complemented
54C2×C11×C22⋊Q8C2211yescharacteristic, complemented
55C2×C11×C22⋊Q8C2211yescharacteristic, complemented
56C2×C11×C22⋊Q8C2211yescharacteristic, complemented
57C2×C11×#121C2211yescharacteristic
58C2×C11×#121C2211yescharacteristic, complemented
59C2×C11×#121C2211yescharacteristic, complemented
60C2×C11×#121C2211yescharacteristic, complemented
61C2×#67000C2211yescharacteristic, complemented
62C2×#66999C2211yescharacteristic
63C2×#66999C2211yescharacteristic
64C2×#66999C2211yescharacteristic, complemented
65C2×#66999C2211yescharacteristic, complemented
66C2×#66997C2211yescharacteristic, complemented
67C2×#66992C2211yescharacteristic
68C2×#66992C2211yescharacteristic
69C2×#66992C2211yescharacteristic, complemented
70C2×#66992C2211yescharacteristic, complemented
71C2×#66992C2211yescharacteristic, complemented
72C2×#66992C2211yescharacteristic, complemented
73C2×#66992C2211yescharacteristic, complemented
74C2×#66991C2211yescharacteristic
75C2×#66991C2211yescharacteristic, complemented
76C2×#66991C2211yescharacteristic, complemented
77C2×#66991C2211yescharacteristic, complemented
78C2×#66991C2211yescharacteristic, complemented
79C2×#66990C2211yescharacteristic
80C2×#66990C2211yescharacteristic
81C2×#66990C2211yescharacteristic
82C2×#66989C2211yescharacteristic, complemented
83C2×#66988C2211yescharacteristic, complemented
84C2×#66988C2211yescharacteristic, complemented
85C2×#66983C2211yescharacteristic
86C2×#66983C2211yescharacteristic, complemented
87C2×#66982C2211yescharacteristic, complemented
88C2×C4×C22⋊D11C2211yescharacteristic
89C2×C4×C22⋊D11C2211yescharacteristic, complemented
90C2×C4×C22⋊D11C2211yescharacteristic, complemented
91C22×(C2×D11)⋊C4C2211yescharacteristic
92C22×(C2×D11)⋊C4C2211yescharacteristic
93C2×#66977C2211yescharacteristic, complemented
94C2×#66977C2211yescharacteristic, complemented
95C2×#66977C2211yescharacteristic, complemented
96C22×Dic11⋊C4C2211yescharacteristic, complemented
97#10623223C22116yescomplemented
98#10623221C22116yescomplemented
99#10623209C22116yescomplemented
100#10623208C22116yescomplemented
101#10623207C22116yescomplemented
102#10623200C22116yescomplemented
103#10623198C22116yescomplemented
104#10623193C22116yescomplemented
105#10623191C22116yescomplemented
106#10623188C22116yescomplemented
107#10623187C22116yescomplemented
108#10623186C22116yescomplemented
109#10623185C22116yescomplemented
110#10623185C22116yescomplemented
111#10623178C22116yescomplemented
112#10623167C22116yescomplemented
113#10623165C22116yescomplemented
114#10623165C22116yescomplemented
115#10623164C22116yescomplemented
116#10623162C22116yescomplemented
117#10623160C22116yescomplemented
118D11×C22⋊Q8C22116yescomplemented
119#10623152C22116yescomplemented
120#10623143C22116yescomplemented
121#10623141C22116yescomplemented
122#10623141C22116yescomplemented
123#10623139C22116yescomplemented
124#10623139C22116yescomplemented
125D11×#121C22116yescomplemented
126#10623128C22116yescomplemented
127C2×#66951C2211yescharacteristic, complemented
128C2×#66950C2211yescharacteristic
129C2×#66950C2211yescharacteristic
130C2×#66950C2211yescharacteristic, complemented
131C2×#66950C2211yescharacteristic, complemented
132C2×#66950C2211yescharacteristic, complemented
133C2×#66949C2211yescharacteristic
134C2×#66949C2211yescharacteristic
135C2×#66949C2211yescharacteristic
136C2×#66949C2211yescharacteristic
137C2×#66949C2211yescharacteristic
138C2×#66949C2211yescharacteristic, complemented
139C2×#66949C2211yescharacteristic, complemented
140C2×#66949C2211yescharacteristic, complemented
141C2×#66949C2211yescharacteristic, complemented
142C2×#66949C2211yescharacteristic, complemented
143C2×#66949C2211yescharacteristic, complemented
144C2×#66949C2211yescharacteristic, complemented
145C2×#66948C2211yescharacteristic
146C2×#66948C2211yescharacteristic, complemented
147C2×#66948C2211yescharacteristic, complemented
148C2×#66947C2211yescharacteristic, complemented
149C2×#66947C2211yescharacteristic, complemented
150C2×#66947C2211yescharacteristic, complemented
151C2×#66947C2211yescharacteristic, complemented
152C2×#66947C2211yescharacteristic, complemented
153C2×#66946C2211yescharacteristic
154C2×#66946C2211yescharacteristic
155C2×#66946C2211yescharacteristic, complemented
156C2×#66946C2211yescharacteristic, complemented
157C2×C4⋊C4×D11C2211yescharacteristic
158C2×C4⋊C4×D11C2211yescharacteristic, complemented
159C2×C4⋊C4×D11C2211yescharacteristic, complemented
160C2×C4⋊C4×D11C2211yescharacteristic, complemented
161C2×C4⋊C4×D11C2211yescharacteristic, complemented
162C2×#66943C2211yescharacteristic, complemented
163C2×#66942C2211yescharacteristic, complemented
164C2×#66942C2211yescharacteristic, complemented
165C2×#66941C2211yescharacteristic, complemented
166C2×#66940C2211yescharacteristic, complemented
167C2×#66939C2211yescharacteristic, complemented
168C2×#66938C2211yescharacteristic, complemented
169C2×#66938C2211yescharacteristic, complemented
170C2×#66938C2211yescharacteristic, complemented
171C2×#66938C2211yescharacteristic, complemented
172C2×#66938C2211yescharacteristic, complemented
173C2×#66938C2211yescharacteristic, complemented
174C2×#66937C2211yescharacteristic
175C2×#66937C2211yescharacteristic
176C2×#66937C2211yescharacteristic
177C2×#66937C2211yescharacteristic, complemented
178C2×#66937C2211yescharacteristic, complemented
179C2×#66937C2211yescharacteristic, complemented
180C2×#66937C2211yescharacteristic, complemented
181C2×#66937C2211yescharacteristic, complemented
182C2×#66937C2211yescharacteristic, complemented
183C2×#66937C2211yescharacteristic, complemented
184C2×#66937C2211yescharacteristic, complemented
185C2×#66936C2211yescharacteristic, complemented
186C2×#66936C2211yescharacteristic, complemented
187C2×#66936C2211yescharacteristic, complemented
188C2×#66936C2211yescharacteristic, complemented
189C2×#66936C2211yescharacteristic, complemented
190C2×#66935C2211yescharacteristic
191C2×#66935C2211yescharacteristic
192C2×#66935C2211yescharacteristic
193C2×(C22⋊D11)⋊C4C2211yescharacteristic
194C2×(C22⋊D11)⋊C4C2211yescharacteristic
195C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
196C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
197C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
198C2×C22⋊C4×D11C2211yescharacteristic
199C2×C22⋊C4×D11C2211yescharacteristic
200C2×C22⋊C4×D11C2211yescharacteristic
201C2×C22⋊C4×D11C2211yescharacteristic
202C2×C22⋊C4×D11C2211yescharacteristic
203C2×C22⋊C4×D11C2211yescharacteristic
204C2×#66932C2211yescharacteristic, complemented
205C2×#66932C2211yescharacteristic, 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×C4×D44C2211yescharacteristic
217C2×C4×D44C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C24×D11C2311yescharacteristic
220C24×D11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C22×Q8×C11C2311yescharacteristic
223C22×Q8×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C23×C4×C11C2311yescharacteristic
231C23×C4×C11C2311yescharacteristic
232C23×C4×C11C2311yescharacteristic
233C23×C4×C11C2311yescharacteristic
234C22×C22⋊D11C2311yescharacteristic
235C22×C22⋊D11C2311yescharacteristic
236C22×C22⋊D11C2311yescharacteristic
237C22×C22⋊D11C2311yescharacteristic
238C22×C22⋊D11C2311yescharacteristic
239C22×C22⋊D11C2311yescharacteristic
240C22×C22⋊D11C2311yescharacteristic
241C22×C22⋊D11C2311yescharacteristic
242C22×C22⋊D11C2311yescharacteristic
243C22×C22⋊D11C2311yescharacteristic
244C22×C22⋊D11C2311yescharacteristic
245C22×C22⋊D11C2311yescharacteristic
246C22×C22⋊D11C2311yescharacteristic
247C22×C22⋊D11C2311yescharacteristic
248C23×Dic11C2311yescharacteristic
249C23×Dic11C2311yescharacteristic
250C23×Dic11C2311yescharacteristic
251C23×Dic11C2311yescharacteristic
252C23×Dic11C2311yescharacteristic
253C2×#4343—44no—
254C2×#4343C2318yescomplemented
255C2×Q8×D11—44no—
256C2×Q8×D11C2318yescomplemented
257C2×#4341—44no—
258C2×#4341—44no—
259C2×#4341—44no—
260C2×#4341C2318yescomplemented
261C2×#4341C2318yescomplemented
262C2×#4341C2318yescomplemented
263C2×D4×D11—44no—
264C2×D4×D11—44no—
265C2×D4×D11—44no—
266C2×D4×D11C2318yes—
267C2×D4×D11C2318yes—
268C2×D4×D11C2318yes—
269C2×#4339—44no—
270C2×#4339—44no—
271C2×#4339—44no—
272C2×#4339C2318yescomplemented
273C2×#4339C2318yescomplemented
274C2×#4339C2318yescomplemented
275C22×D44C2311yescharacteristic
276C22×D44C2311yescharacteristic
277C22×D44C2311yescharacteristic
278C22×D44C2311yescharacteristic
279C22×D44C2311yescharacteristic
280C22×D44C2311yescharacteristic
281C22×D44C2311yescharacteristic
282C22×C4×D11—44no—
283C22×C4×D11C2311yescharacteristic
284C22×C4×D11C2311yescharacteristic
285C22×C4×D11C2311yescharacteristic
286C22×C4×D11C2311yescharacteristic
287C22×C4×D11C2311yescharacteristic
288C22×C4×D11C2311yescharacteristic
289C22×C4×D11C2311yescharacteristic
290C22×C4×D11C2311yescharacteristic
291C22×C4×D11C2311yescharacteristic
292C22×C4×D11C2311yescharacteristic
293C22×C4×D11C2311yescharacteristic
294C22×C4×D11C2311yescharacteristic
295C22×C4×D11C2311yescharacteristic
296C22×C4×D11C2311yescharacteristic
297C22×C4×D11C2311yescharacteristic
298C22×C4×D11C2311yescharacteristic
299C22×C4×D11C2311yescharacteristic
300C22×C4×D11C2318yes—
301C22×Dic22C2311yescharacteristic
302C22×Dic22C2311yescharacteristic
303C22×Dic22C2311yescharacteristic
304C22×Dic22C2311yescharacteristic
305C22×Dic22C2311yescharacteristic
306C22×Dic22C2311yescharacteristic
307C22×Dic22C2311yescharacteristic
308C11×#125C2318yescomplemented
309C11×#124C2318yescomplemented
310C11×#124C2318yescomplemented
311C11×#123C2318yescomplemented
312C11×#123C2318yescomplemented
313C11×#123C2318yescomplemented
314C11×#123C2318yescomplemented
315C11×C22⋊Q8C2318yescomplemented
316C11×C22⋊Q8C2318yescomplemented
317C11×C22⋊Q8C2318yescomplemented
318C11×C22⋊Q8C2318yescomplemented
319C11×#121C2318yes—
320C11×#121C2318yescomplemented
321C11×#121C2318yescomplemented
322C11×#121C2318yescomplemented
323C2×C11×C4⋊C4C2311yescharacteristic
324C2×C11×C4⋊C4C2311yescharacteristic
325C2×C11×C4⋊C4C2311yescharacteristic
326C2×C11×C4⋊C4C2311yescharacteristic
327C2×C11×C4⋊C4C2311yescharacteristic
328C2×C11×C4⋊C4C2311yescharacteristic
329C2×C11×C4⋊C4C2311yescharacteristic
330C2×C11×C4⋊C4C2311yescharacteristic
331C2×C11×C4⋊C4C2311yescharacteristic
332C2×C11×C4⋊C4C2311yescharacteristic
333C2×C11×C22⋊C4C2311yescharacteristic
334C2×C11×C22⋊C4C2311yescharacteristic
335C2×C11×C22⋊C4C2311yescharacteristic
336C2×C11×C22⋊C4C2311yescharacteristic
337C2×C11×C22⋊C4C2311yescharacteristic
338C2×C11×C22⋊C4C2311yescharacteristic
339C2×C11×C22⋊C4C2311yescharacteristic
340C2×C11×C22⋊C4C2311yescharacteristic
341C2×C11×C22⋊C4C2311yescharacteristic
342C2×C11×C22⋊C4C2311yescharacteristic
343C2×C11×C22⋊C4C2311yescharacteristic
344C2×C11×C22⋊C4C2311yescharacteristic
345C2×C42×C11C2311yescharacteristic
346C2×C22⋊Dic11C2311yescharacteristic
347C2×C22⋊Dic11C2311yescharacteristic
348C2×C22⋊Dic11C2311yescharacteristic
349C2×C22⋊Dic11C2311yescharacteristic
350C2×C22⋊Dic11C2311yescharacteristic
351C2×C22⋊Dic11C2311yescharacteristic
352C2×C22⋊Dic11C2311yescharacteristic
353C2×C22⋊Dic11C2311yescharacteristic
354C2×C22⋊Dic11C2311yescharacteristic
355C2×C22⋊Dic11C2311yescharacteristic
356#67000C2318yescomplemented
357#66999C2318yes—
358#66999C2318yes—
359#66999C2318yescomplemented
360#66999C2318yescomplemented
361#66997C2318yescomplemented
362#66992C2318yes—
363#66992C2318yes—
364#66992C2318yescomplemented
365#66992C2318yescomplemented
366#66992C2318yescomplemented
367#66992C2318yescomplemented
368#66992C2318yescomplemented
369#66991C2318yes—
370#66991C2318yescomplemented
371#66991C2318yescomplemented
372#66991C2318yescomplemented
373#66991C2318yescomplemented
374#66990C2318yes—
375#66990C2318yes—
376#66990C2318yes—
377#66989C2318yescomplemented
378#66988C2318yescomplemented
379#66988C2318yescomplemented
380#66983C2318yes—
381#66983C2318yescomplemented
382#66982C2318yescomplemented
383C4×C22⋊D11C2318yes—
384C4×C22⋊D11C2318yescomplemented
385C4×C22⋊D11C2318yescomplemented
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)⋊C4C2311yescharacteristic
396C2×(C2×D11)⋊C4C2311yescharacteristic
397C2×(C2×D11)⋊C4C2311yescharacteristic
398C2×(C2×D11)⋊C4C2311yescharacteristic
399C2×(C2×D11)⋊C4C2311yescharacteristic
400C2×(C2×D11)⋊C4C2311yescharacteristic
401C2×(C2×D11)⋊C4C2311yescharacteristic
402C2×(C2×D11)⋊C4C2311yescharacteristic
403C2×(C2×D11)⋊C4C2311yescharacteristic
404C2×(C2×D11)⋊C4C2311yescharacteristic
405C2×(C2×D11)⋊C4C2311yescharacteristic
406C2×(C2×D11)⋊C4C2311yescharacteristic
407C2×(C2×D11)⋊C4C2311yescharacteristic
408C2×(C2×D11)⋊C4C2311yescharacteristic
409C2×(C2×D11)⋊C4C2311yescharacteristic
410C2×(C2×D11)⋊C4C2318yes—
411C2×(C2×D11)⋊C4C2318yes—
412C2×C4⋊Dic11C2311yescharacteristic
413C2×C4⋊Dic11C2311yescharacteristic
414C2×C4⋊Dic11C2311yescharacteristic
415C2×C4⋊Dic11C2311yescharacteristic
416C2×C4⋊Dic11C2311yescharacteristic
417C2×C4⋊Dic11C2311yescharacteristic
418C2×C4⋊Dic11C2311yescharacteristic
419C2×C4⋊Dic11C2311yescharacteristic
420#66977C2318yescomplemented
421#66977C2318yescomplemented
422#66977C2318yescomplemented
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⋊C4C2318yescomplemented
444C2×C4×Dic11C2311yescharacteristic
445C2×C4×Dic11C2311yescharacteristic
446C2×C4×Dic11C2311yescharacteristic
447C2×C4×Dic11C2311yescharacteristic
448C2×C4×Dic11C2311yescharacteristic
449#66951C2318yescomplemented
450#66950C2318yes—
451#66950C2318yes—
452#66950C2318yescomplemented
453#66950C2318yescomplemented
454#66950C2318yescomplemented
455#66949C2318yes—
456#66949C2318yes—
457#66949C2318yes—
458#66949C2318yes—
459#66949C2318yes—
460#66949C2318yescomplemented
461#66949C2318yescomplemented
462#66949C2318yescomplemented
463#66949C2318yescomplemented
464#66949C2318yescomplemented
465#66949C2318yescomplemented
466#66949C2318yescomplemented
467#66948C2318yes—
468#66948C2318yescomplemented
469#66948C2318yescomplemented
470#66947C2318yescomplemented
471#66947C2318yescomplemented
472#66947C2318yescomplemented
473#66947C2318yescomplemented
474#66947C2318yescomplemented
475#66946C2318yes—
476#66946C2318yes—
477#66946C2318yescomplemented
478#66946C2318yescomplemented
479C4⋊C4×D11C2318yes—
480C4⋊C4×D11C2318yescomplemented
481C4⋊C4×D11C2318yescomplemented
482C4⋊C4×D11C2318yescomplemented
483C4⋊C4×D11C2318yescomplemented
484#66943C2318yescomplemented
485#66942C2318yescomplemented
486#66942C2318yescomplemented
487#66941C2318yescomplemented
488#66940C2318yescomplemented
489#66939C2318yescomplemented
490#66938C2318yescomplemented
491#66938C2318yescomplemented
492#66938C2318yescomplemented
493#66938C2318yescomplemented
494#66938C2318yescomplemented
495#66938C2318yescomplemented
496#66937C2318yes—
497#66937C2318yes—
498#66937C2318yes—
499#66937C2318yescomplemented
500#66937C2318yescomplemented
501#66937C2318yescomplemented
502#66937C2318yescomplemented
503#66937C2318yescomplemented
504#66937C2318yescomplemented
505#66937C2318yescomplemented
506#66937C2318yescomplemented
507#66936C2318yescomplemented
508#66936C2318yescomplemented
509#66936C2318yescomplemented
510#66936C2318yescomplemented
511#66936C2318yescomplemented
512#66935C2318yes—
513#66935C2318yes—
514#66935C2318yes—
515(C22⋊D11)⋊C4C2318yes—
516(C22⋊D11)⋊C4C2318yes—
517(C22⋊D11)⋊C4C2318yescomplemented
518(C22⋊D11)⋊C4C2318yescomplemented
519(C22⋊D11)⋊C4C2318yescomplemented
520C22⋊C4×D11C2318yes—
521C22⋊C4×D11C2318yes—
522C22⋊C4×D11C2318yes—
523C22⋊C4×D11C2318yes—
524C22⋊C4×D11C2318yes—
525C22⋊C4×D11C2318yes—
526#66932C2318yescomplemented
527#66932C2318yescomplemented
528#66931C2318yescomplemented
529#66931C2318yescomplemented
530#66931C2318yescomplemented
531#66931C2318yescomplemented
532#66931C2318yescomplemented
533#66931C2318yescomplemented
534#66931C2318yescomplemented
535#66931C2318yescomplemented
536#66930C2318yescomplemented
537#66929C2318yescomplemented
538C4×D44C2318yes—
539C4×D44C2318yescomplemented
540C4×Dic22C2318yescomplemented
541C2×#3536—111nomaximal, Sylow
542C24×C11C2411yescharacteristic
543C24×C11C2411yescharacteristic
544C24×C11C2411yescharacteristic
545C24×C11C2411yescharacteristic
546C23×D11—24no—
547C23×D11—24no—
548C23×D11—24no—
549C23×D11—24no—
550C23×D11—42no—
551C23×D11—42no—
552C23×D11—42no—
553C23×D11—42no—
554C23×D11—42no—
555C23×D11C2411yescharacteristic
556C23×D11C2411yescharacteristic
557C23×D11C2411yescharacteristic
558C23×D11C2414yes—
559C23×D11C2411yescharacteristic
560C23×D11C2411yescharacteristic
561C23×D11C2414yes—
562C23×D11C2414yes—
563C2×Q8×C11—42no—
564C2×Q8×C11—42no—
565C2×Q8×C11C2414yes—
566C2×Q8×C11C2414yes—
567C2×D4×C11—42no—
568C2×D4×C11—42no—
569C2×D4×C11—42no—
570C2×D4×C11—42no—
571C2×D4×C11—42no—
572C2×D4×C11—42no—
573C2×D4×C11C2414yes—
574C2×D4×C11C2414yes—
575C2×D4×C11C2414yes—
576C2×D4×C11C2414yes—
577C2×D4×C11C2414yes—
578C2×D4×C11C2414yes—
579C22×C4×C11—42no—
580C22×C4×C11—42no—
581C22×C4×C11—42no—
582C22×C4×C11—42no—
583C22×C4×C11C2411yescharacteristic
584C22×C4×C11C2411yescharacteristic
585C22×C4×C11C2411yescharacteristic
586C22×C4×C11C2411yescharacteristic
587C22×C4×C11C2411yescharacteristic
588C22×C4×C11C2411yescharacteristic
589C22×C4×C11C2411yescharacteristic
590C22×C4×C11C2411yescharacteristic
591C22×C4×C11C2411yescharacteristic
592C22×C4×C11C2411yescharacteristic
593C22×C4×C11C2411yescharacteristic
594C22×C4×C11C2414yes—
595C22×C4×C11C2414yes—
596C22×C4×C11C2414yes—
597C22×C4×C11C2414yes—
598C2×C22⋊D11—24no—
599C2×C22⋊D11—24no—
600C2×C22⋊D11—24no—
601C2×C22⋊D11—24no—
602C2×C22⋊D11—24no—
603C2×C22⋊D11—24no—
604C2×C22⋊D11—42no—
605C2×C22⋊D11—42no—
606C2×C22⋊D11—42no—
607C2×C22⋊D11—42no—
608C2×C22⋊D11—42no—
609C2×C22⋊D11—42no—
610C2×C22⋊D11—42no—
611C2×C22⋊D11—42no—
612C2×C22⋊D11C2414yes—
613C2×C22⋊D11C2414yes—
614C2×C22⋊D11C2414yes—
615C2×C22⋊D11C2414yes—
616C2×C22⋊D11C2414yes—
617C2×C22⋊D11C2414yes—
618C2×C22⋊D11C2414yes—
619C2×C22⋊D11C2414yes—
620C2×C22⋊D11C2414yes—
621C2×C22⋊D11C2414yes—
622C2×C22⋊D11C2414yes—
623C2×C22⋊D11C2414yes—
624C2×C22⋊D11C2414yes—
625C2×C22⋊D11C2414yes—
626C22×Dic11—24no—
627C22×Dic11—24no—
628C22×Dic11—42no—
629C22×Dic11—42no—
630C22×Dic11—42no—
631C22×Dic11C2414yes—
632C22×Dic11C2414yes—
633C22×Dic11C2411yescharacteristic
634C22×Dic11C2411yescharacteristic
635C22×Dic11C2411yescharacteristic
636C22×Dic11C2411yescharacteristic
637C22×Dic11C2411yescharacteristic
638C22×Dic11C2411yescharacteristic
639C22×Dic11C2411yescharacteristic
640C22×Dic11C2411yescharacteristic
641C22×Dic11C2411yescharacteristic
642C22×Dic11C2411yescharacteristic
643C22×Dic11C2414yes—
644C22×Dic11C2414yes—
645C22×Dic11C2414yes—
646C22×Dic11C2411yescharacteristic
647#4343—416no—
648Q8×D11—416no—
649#4341—416no—
650#4341—416no—
651#4341—416no—
652D4×D11—416no—
653D4×D11—416no—
654D4×D11—416no—
655#4339—416no—
656#4339—416no—
657#4339—416no—
658C2×D44—24no—
659C2×D44—24no—
660C2×D44—24no—
661C2×D44—24no—
662C2×D44—42no—
663C2×D44—42no—
664C2×D44—42no—
665C2×D44C2414yes—
666C2×D44C2414yes—
667C2×D44C2414yes—
668C2×D44C2414yes—
669C2×D44C2414yes—
670C2×D44C2414yes—
671C2×D44C2414yes—
672C2×C4×D11—24no—
673C2×C4×D11—24no—
674C2×C4×D11—24no—
675C2×C4×D11—24no—
676C2×C4×D11—24no—
677C2×C4×D11—42no—
678C2×C4×D11—42no—
679C2×C4×D11—42no—
680C2×C4×D11—42no—
681C2×C4×D11—42no—
682C2×C4×D11—42no—
683C2×C4×D11—42no—
684C2×C4×D11—42no—
685C2×C4×D11—42no—
686C2×C4×D11—42no—
687C2×C4×D11—42no—
688C2×C4×D11—42no—
689C2×C4×D11—416no—
690C2×C4×D11C2414yes—
691C2×C4×D11C2414yes—
692C2×C4×D11C2414yes—
693C2×C4×D11C2414yes—
694C2×C4×D11C2414yes—
695C2×C4×D11C2414yes—
696C2×C4×D11C2414yes—
697C2×C4×D11C2414yes—
698C2×C4×D11C2414yes—
699C2×C4×D11C2414yes—
700C2×C4×D11C2414yes—
701C2×C4×D11C2414yes—
702C2×C4×D11C2414yes—
703C2×C4×D11C2414yes—
704C2×C4×D11C2414yes—
705C2×C4×D11C2414yes—
706C2×C4×D11C2414yes—
707C2×Dic22—24no—
708C2×Dic22—24no—
709C2×Dic22—42no—
710C2×Dic22—42no—
711C2×Dic22—42no—
712C2×Dic22—42no—
713C2×Dic22—42no—
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×C4⋊C4C2414yes—
726C11×C4⋊C4C2414yes—
727C11×C4⋊C4C2414yes—
728C11×C4⋊C4C2414yes—
729C11×C4⋊C4C2414yes—
730C11×C4⋊C4C2414yes—
731C11×C22⋊C4C2414yes—
732C11×C22⋊C4C2414yes—
733C11×C22⋊C4C2414yes—
734C11×C22⋊C4C2414yes—
735C11×C22⋊C4C2414yes—
736C11×C22⋊C4C2414yes—
737C11×C22⋊C4C2414yes—
738C11×C22⋊C4C2414yes—
739C11×C22⋊C4C2414yes—
740C11×C22⋊C4C2414yes—
741C11×C22⋊C4C2414yes—
742C11×C22⋊C4C2414yes—
743C42×C11C2414yes—
744C22⋊Dic11C2414yes—
745C22⋊Dic11C2414yes—
746C22⋊Dic11C2414yes—
747C22⋊Dic11C2414yes—
748C22⋊Dic11C2414yes—
749C22⋊Dic11C2414yes—
750C22⋊Dic11C2414yes—
751C22⋊Dic11C2414yes—
752C22⋊Dic11C2414yes—
753C22⋊Dic11C2414yes—
754(C2×D11)⋊C4C2414yes—
755(C2×D11)⋊C4C2414yes—
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—
772(C2×D11)⋊C4C2414yes—
773(C2×D11)⋊C4C2414yes—
774(C2×D11)⋊C4C2414yes—
775(C2×D11)⋊C4C2414yes—
776(C2×D11)⋊C4C2414yes—
777(C2×D11)⋊C4C2414yes—
778C4⋊Dic11C2414yes—
779C4⋊Dic11C2414yes—
780C4⋊Dic11C2414yes—
781C4⋊Dic11C2414yes—
782C4⋊Dic11C2414yes—
783C4⋊Dic11C2414yes—
784C4⋊Dic11C2414yes—
785C4⋊Dic11C2414yes—
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×#562D1111yescharacteristic, complemented
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×#546—111no—
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—22no—
854C23×C11—22no—
855C23×C11C2512yes—
856C23×C11C2512yes—
857C23×C11C2512yes—
858C23×C11C2512yes—
859C23×C11C2511yescharacteristic
860C22×D11—22no—
861C22×D11—22no—
862C22×D11—22no—
863C22×D11—22no—
864C22×D11—22no—
865C22×D11—22no—
866C22×D11—22no—
867C22×D11—22no—
868C22×D11—22no—
869C22×D11—22no—
870C22×D11—22no—
871C22×D11—22no—
872C22×D11—22no—
873C22×D11—28no—
874C22×D11—28no—
875C22×D11—28no—
876C22×D11—28no—
877C22×D11—44no—
878C22×D11—416no—
879C22×D11—44no—
880C22×D11—44no—
881C22×D11—44no—
882C22×D11—44no—
883C22×D11—88no—
884C22×D11—88no—
885C22×D11H(5,𝔽2)14yes—
886C22×D112−1+414yes—
887C22×D11C2512yes—
888C22×D11C2512yes—
889C22×D11C2512yes—
890C22×D11C2512yes—
891C22×D11C2512yes—
892Q8×C11—44no—
893Q8×C11—44no—
894D4×C11—44no—
895D4×C11—44no—
896D4×C11—44no—
897D4×C11—44no—
898D4×C11—44no—
899D4×C11—44no—
900C2×C4×C11—22no—
901C2×C4×C11—22no—
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—22no—
910C2×C4×C11—22no—
911C2×C4×C11—44no—
912C2×C4×C11—44no—
913C2×C4×C11—44no—
914C2×C4×C11—44no—
915C2×C4×C11C2512yes—
916C2×C4×C11C2512yes—
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—
940C2×Dic11—22no—
941C2×Dic11—22no—
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—28no—
951C2×Dic11—28no—
952C2×Dic11—44no—
953C2×Dic11—44no—
954C2×Dic11—44no—
955C2×Dic11H(5,𝔽2)14yes—
956C2×Dic11C2512yes—
957C2×Dic11C2512yes—
958C2×Dic11C2512yes—
959C2×Dic11C2512yes—
960C2×Dic11C2512yes—
961C2×Dic11C2512yes—
962C2×Dic11C2512yes—
963C2×Dic11C2512yes—
964C2×Dic11C2512yes—
965C2×Dic11C2512yes—
966C2×Dic11C2512yes—
967D44—28no—
968D44—28no—
969D44—28no—
970D44—28no—
971D44—44no—
972D44—44no—
973D44—44no—
974C4×D11—28no—
975C4×D11—28no—
976C4×D11—28no—
977C4×D11—28no—
978C4×D11—28no—
979C4×D11—44no—
980C4×D11—44no—
981C4×D11—44no—
982C4×D11—44no—
983C4×D11—44no—
984C4×D11—44no—
985C4×D11—44no—
986C4×D11—44no—
987C4×D11—44no—
988C4×D11—44no—
989C4×D11—44no—
990C4×D11—44no—
991Dic22—28no—
992Dic22—28no—
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×#41—111no—
1005C23×Q8—111no—
1006C23×D4—111no—
1007C23×D4—111no—
1008C23×D4—111no—
1009C24×C4—111no—
1010#562—1116no—
1011#562—1116no—
1012#562—1116no—
1013#562C2×D11116yescomplemented
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#546—1116no—
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×#125C2×D1111yescharacteristic, complemented
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×#124C2×D1111yescharacteristic, complemented
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×#123C2×D1111yescharacteristic, complemented
1074C2×#123C2×D1111yescharacteristic, complemented
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—1116no—
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—111no—
1106C2×C22⋊Q8—111no—
1107C2×C22⋊Q8—111no—
1108C2×C22⋊Q8—111no—
1109C2×C22⋊Q8—111no—
1110C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1111C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1112C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1113C2×C22⋊Q8C2×D1111yescharacteristic, complemented
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—111no—
1128C2×#121—1116no—
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×#121C2×D1111yescharacteristic
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×#120—111no—
1152C2×#120—111no—
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×D4—111no—
1168C2×C4×D4—111no—
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⋊C4—111no—
1183C22×C22⋊C4—111no—
1184C22×C11—22no—
1185C22×C11—22no—
1186C22×C11—22no—
1187C22×C11—22no—
1188C22×C11—22no—
1189C22×C11—22no—
1190C22×C11—22no—
1191C22×C11—22no—
1192C22×C11—22no—
1193C22×C11—22no—
1194C22×C11—22no—
1195C22×C11—22no—
1196C22×C11—44no—
1197C22×C11—44no—
1198C22×C11—44no—
1199C22×C11—44no—
1200C22×C11C2×H(5,𝔽2)12yes—
1201C22×C11C2×H(5,𝔽2)12yes—
1202C22×C11C2×2−1+412yes—
1203C22×C11C2611yescharacteristic
1204C2×D11—22no—
1205C2×D11—22no—
1206C2×D11—22no—
1207C2×D11—22no—
1208C2×D11—28no—
1209C2×D11—28no—
1210C2×D11—22no—
1211C2×D11—22no—
1212C2×D11—22no—
1213C2×D11—22no—
1214C2×D11—22no—
1215C2×D11—22no—
1216C2×D11—22no—
1217C2×D11—22no—
1218C2×D11—22no—
1219C2×D11—416no—
1220C2×D11—44no—
1221C2×D11—44no—
1222C2×D11—44no—
1223C2×D11—88no—
1224C2×D11—88no—
1225C2×D11C2×H(5,𝔽2)14yes—
1226C2×D11C2×2−1+414yes—
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—
1236C4×C11—22no—
1237C4×C11—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—
1250C25—111no—
1251C25—111no—
1252C2×#41—118no—
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×#41—444no—
1266C22×Q8—118no—
1267C22×Q8—111no—
1268C22×Q8—111no—
1269C22×Q8—111no—
1270C22×Q8—111no—
1271C22×Q8—111no—
1272C22×Q8—111no—
1273C22×Q8—111no—
1274C22×Q8—444no—
1275C22×Q8C22×D1111yescharacteristic
1276C22×Q8C22×D1111yescharacteristic
1277C22×D4—111no—
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—118no—
1292C22×D4—118no—
1293C22×D4—118no—
1294C22×D4—111no—
1295C22×D4—111no—
1296C22×D4—111no—
1297C22×D4—111no—
1298C22×D4—111no—
1299C22×D4—111no—
1300C22×D4—111no—
1301C22×D4—444no—
1302C22×D4—444no—
1303C22×D4—444no—
1304C22×D4C22×D1111yescharacteristic
1305C22×D4C22×D1111yescharacteristic
1306C22×D4C22×D1111yescharacteristic
1307C22×D4C22×D1111yescharacteristic
1308C22×D4C22×D1111yescharacteristic
1309C22×D4C22×D1111yescharacteristic
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—111no—
1324C23×C4—111no—
1325C23×C4—111no—
1326C23×C4—111no—
1327C23×C4—111no—
1328C23×C4—111no—
1329C23×C4—111no—
1330C23×C4—111no—
1331C23×C4—111no—
1332C23×C4—118no—
1333C23×C4—444no—
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#125C22×D1118yescomplemented
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#124C22×D1118yescomplemented
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#123C22×D1118yescomplemented
1373#123C22×D1118yescomplemented
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⋊Q8C22×D1118yescomplemented
1409C22⋊Q8C22×D1118yescomplemented
1410C22⋊Q8C22×D1118yescomplemented
1411C22⋊Q8C22×D1118yescomplemented
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#121C22×D1118yes—
1441#121C22×D1118yescomplemented
1442#121C22×D1118yescomplemented
1443#121C22×D1118yescomplemented
1444#120—118no—
1445#120—118no—
1446#120—118no—
1447#120—118no—
1448#120—118no—
1449#120—118no—
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×D4—118no—
1465C4×D4—118no—
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—111no—
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—118no—
1483C2×C4⋊C4—111no—
1484C2×C4⋊C4—111no—
1485C2×C4⋊C4—111no—
1486C2×C4⋊C4—111no—
1487C2×C4⋊C4—111no—
1488C2×C4⋊C4—111no—
1489C2×C4⋊C4—111no—
1490C2×C4⋊C4—111no—
1491C2×C4⋊C4—111no—
1492C2×C4⋊C4—111no—
1493C2×C4⋊C4—111no—
1494C2×C4⋊C4—111no—
1495C2×C4⋊C4—111no—
1496C2×C4⋊C4—118no—
1497C2×C4⋊C4—118no—
1498C2×C4⋊C4—118no—
1499C2×C4⋊C4—118no—
1500C2×C4⋊C4—118no—
1501C2×C4⋊C4C22×D1111yescharacteristic
1502C2×C4⋊C4C22×D1111yescharacteristic
1503C2×C4⋊C4C22×D1111yescharacteristic
1504C2×C4⋊C4C22×D1111yescharacteristic
1505C2×C4⋊C4C22×D1111yescharacteristic
1506C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1523C2×C22⋊C4—111no—
1524C2×C22⋊C4—111no—
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—118no—
1536C2×C22⋊C4—118no—
1537C2×C22⋊C4—111no—
1538C2×C22⋊C4—111no—
1539C2×C22⋊C4—111no—
1540C2×C22⋊C4—111no—
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—118no—
1548C2×C22⋊C4—118no—
1549C2×C22⋊C4—118no—
1550C2×C22⋊C4—118no—
1551C2×C22⋊C4—118no—
1552C2×C22⋊C4—118no—
1553C2×C22⋊C4C22×D1111yescharacteristic
1554C2×C22⋊C4C22×D1111yescharacteristic
1555C2×C22⋊C4C22×D1111yescharacteristic
1556C2×C22⋊C4C22×D1111yescharacteristic
1557C2×C22⋊C4C22×D1111yescharacteristic
1558C2×C22⋊C4C22×D1111yescharacteristic
1559C2×C22⋊C4C22×D1111yescharacteristic
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—42no—
1572C2×C11—42no—
1573C2×C11—42no—
1574C2×C11—42no—
1575C2×C11#353614yescomplemented
1576C2×C11C22×H(5,𝔽2)11yescharacteristic
1577C2×C11C22×H(5,𝔽2)11yescharacteristic
1578C2×C11C22×2−1+411yescharacteristic
1579D11—24no—
1580D11—24no—
1581D11—42no—
1582D11—42no—
1583D11—42no—
1584C24—111no—
1585C24—111no—
1586C24—111no—
1587C24—111no—
1588C24—111no—
1589C24—114no—
1590C24—114no—
1591C24—114no—
1592C24—224no—
1593C24—224no—
1594C24—224no—
1595C24—224no—
1596C24—442no—
1597C24—442no—
1598C24—442no—
1599C24—442no—
1600C24—442no—
1601C24C23×D1111yescharacteristic
1602C24C23×D1111yescharacteristic
1603C24C23×D1111yescharacteristic
1604C24C23×D1111yescharacteristic
1605#41—4416no—
1606#41—4416no—
1607#41—4416no—
1608#41—4416no—
1609#41—4416no—
1610#41—4416no—
1611#41—4416no—
1612C2×Q8—42no—
1613C2×Q8—42no—
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—4416no—
1629C2×Q8C23×D1114yes—
1630C2×Q8C23×D1114yes—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—114no—
1638C2×D4—114no—
1639C2×D4—114no—
1640C2×D4—114no—
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—224no—
1659C2×D4—224no—
1660C2×D4—224no—
1661C2×D4—224no—
1662C2×D4—224no—
1663C2×D4—224no—
1664C2×D4—224no—
1665C2×D4—224no—
1666C2×D4—224no—
1667C2×D4—224no—
1668C2×D4—442no—
1669C2×D4—442no—
1670C2×D4—442no—
1671C2×D4—4416no—
1672C2×D4—442no—
1673C2×D4—442no—
1674C2×D4—442no—
1675C2×D4—442no—
1676C2×D4—442no—
1677C2×D4—442no—
1678C2×D4—442no—
1679C2×D4—442no—
1680C2×D4—4416no—
1681C2×D4—4416no—
1682C2×D4C23×D1114yes—
1683C2×D4C23×D1114yes—
1684C2×D4C23×D1114yes—
1685C2×D4C23×D1114yes—
1686C2×D4C23×D1114yes—
1687C2×D4C23×D1114yes—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—111no—
1693C22×C4—114no—
1694C22×C4—114no—
1695C22×C4—111no—
1696C22×C4—111no—
1697C22×C4—111no—
1698C22×C4—111no—
1699C22×C4—111no—
1700C22×C4—111no—
1701C22×C4—111no—
1702C22×C4—111no—
1703C22×C4—111no—
1704C22×C4—111no—
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—224no—
1726C22×C4—224no—
1727C22×C4—224no—
1728C22×C4—224no—
1729C22×C4—224no—
1730C22×C4—224no—
1731C22×C4—224no—
1732C22×C4—442no—
1733C22×C4—442no—
1734C22×C4—442no—
1735C22×C4—442no—
1736C22×C4—442no—
1737C22×C4—442no—
1738C22×C4—442no—
1739C22×C4—442no—
1740C22×C4—442no—
1741C22×C4—442no—
1742C22×C4—442no—
1743C22×C4—442no—
1744C22×C4—4416no—
1745C22×C4—442no—
1746C22×C4—442no—
1747C22×C4—442no—
1748C22×C4C23×D1111yescharacteristic
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×D1111yescharacteristic
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⋊C4C23×D1114yes—
1792C4⋊C4C23×D1114yes—
1793C4⋊C4C23×D1114yes—
1794C4⋊C4C23×D1114yes—
1795C4⋊C4C23×D1114yes—
1796C4⋊C4C23×D1114yes—
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—22no—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—22no—
1866C23—114no—
1867C23—114no—
1868C23—112no—
1869C23—112no—
1870C23—112no—
1871C23—112no—
1872C23—112no—
1873C23—228no—
1874C23—228no—
1875C23—228no—
1876C23—228no—
1877C23—222no—
1878C23—222no—
1879C23—222no—
1880C23—222no—
1881C23—222no—
1882C23—222no—
1883C23—222no—
1884C23—222no—
1885C23—222no—
1886C23—222no—
1887C23—222no—
1888C23—222no—
1889C23—222no—
1890C23—444no—
1891C23—444no—
1892C23—444no—
1893C23—444no—
1894C23—444no—
1895C23—4416no—
1896C23—888no—
1897C23—888no—
1898C23C24×D1112yes—
1899C23C24×D1112yes—
1900C23C24×D1112yes—
1901C23C24×D1112yes—
1902C23C24×D1111yescharacteristic
1903Q8—44no—
1904Q8—44no—
1905Q8—228no—
1906Q8—228no—
1907Q8—444no—
1908Q8—444no—
1909Q8—444no—
1910Q8—444no—
1911Q8—444no—
1912D4—44no—
1913D4—44no—
1914D4—44no—
1915D4—44no—
1916D4—44no—
1917D4—44no—
1918D4—228no—
1919D4—228no—
1920D4—228no—
1921D4—228no—
1922D4—228no—
1923D4—228no—
1924D4—228no—
1925D4—228no—
1926D4—228no—
1927D4—228no—
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—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
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—228no—
1967C2×C4—228no—
1968C2×C4—228no—
1969C2×C4—228no—
1970C2×C4—228no—
1971C2×C4—228no—
1972C2×C4—228no—
1973C2×C4—222no—
1974C2×C4—222no—
1975C2×C4—222no—
1976C2×C4—222no—
1977C2×C4—222no—
1978C2×C4—222no—
1979C2×C4—222no—
1980C2×C4—222no—
1981C2×C4—222no—
1982C2×C4—222no—
1983C2×C4—444no—
1984C2×C4—444no—
1985C2×C4—444no—
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×C4C24×D1112yes—
1999C2×C4C24×D1112yes—
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—22no—
2014C22—22no—
2015C22—22no—
2016C22—22no—
2017C22—22no—
2018C22—22no—
2019C22—22no—
2020C22—22no—
2021C22—44no—
2022C22—44no—
2023C22—44no—
2024C22—44no—
2025C22—114no—
2026C22—114no—
2027C22—222no—
2028C22—222no—
2029C22—222no—
2030C22—222no—
2031C22—228no—
2032C22—228no—
2033C22—222no—
2034C22—222no—
2035C22—222no—
2036C22—222no—
2037C22—222no—
2038C22—222no—
2039C22—222no—
2040C22—222no—
2041C22—222no—
2042C22—4416no—
2043C22—444no—
2044C22—444no—
2045C22—444no—
2046C22—888no—
2047C22—888no—
2048C22D11×H(5,𝔽2)12yes—
2049C22D11×H(5,𝔽2)12yes—
2050C22D11×2−1+412yes—
2051C22C25×D1111yescharacteristic
2052C4—22no—
2053C4—22no—
2054C4—22no—
2055C4—22no—
2056C4—22no—
2057C4—22no—
2058C4—22no—
2059C4—22no—
2060C4—22no—
2061C4—22no—
2062C4—22no—
2063C4—114no—
2064C4—222no—
2065C4—222no—
2066C4—222no—
2067C4—222no—
2068C4—222no—
2069C4—222no—
2070C4—222no—
2071C4—222no—
2072C4—222no—
2073C4—222no—
2074C2—42no—
2075C2—42no—
2076C2—42no—
2077C2—42no—
2078C2—224no—
2079C2—224no—
2080C2—442no—
2081C2—442no—
2082C2—442no—
2083C2#1308283514yesdirect product factor
2084C2C2×D11×H(5,𝔽2)11yescharacteristic
2085C2C2×D11×H(5,𝔽2)11yescharacteristic
2086C2C2×D11×2−1+411yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#562C2
socleC23×C11C25
hypercenterC2×#562D11
hypocenterC11C2×#3536
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#562

Complements

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

NH ≅ G/Ntype
1. #13082835C2direct (N × H)
2. C2×#10623198C2semidirect
3. C2×#10623178C2semidirect
4. C2×#10623152C2semidirect
5. C2×#10623221C2semidirect
6. C2×#10623167C2semidirect
7. C2×#10623164C2semidirect
8. C2×#10623208C2semidirect
9. C2×#10623162C2semidirect
10. C2×#10623186C2semidirect
11. C2×#10623143C2semidirect
12. C2×#10623207C2semidirect
13. C2×#10623185C2semidirect
14. C2×#10623185C2semidirect
15. C2×#10623141C2semidirect
16. C2×#10623141C2semidirect
17. C2×#10623165C2semidirect
18. C2×#10623165C2semidirect
19. C2×#10623193C2semidirect
20. C2×#10623200C2semidirect
21. C2×#10623223C2semidirect
22. C2×#10623191C2semidirect
23. C2×#10623188C2semidirect
24. C2×#10623209C2semidirect
25. C2×#10623160C2semidirect
26. C2×#10623139C2semidirect
27. C2×#10623139C2semidirect
28. C2×#10623128C2semidirect
29. C2×#10623187C2semidirect
30. C2×D11×C22⋊Q8C2semidirect
31. C2×D11×#121C2semidirect
32. C2×C11×#562C2semidirect
33. C22×#4343C22semidirect
34. C22×Q8×D11C22semidirect
35. C22×#4341C22semidirect
36. C22×#4341C22semidirect
37. C22×#4341C22semidirect
41. C22×#4339C22semidirect
42. C22×#4339C22semidirect
43. C22×#4339C22semidirect
45. C11×#562C22semidirect
46. C2×C11×#125C22semidirect
47. C2×C11×#124C22semidirect
48. C2×C11×#124C22semidirect
49. C2×C11×#123C22semidirect
50. C2×C11×#123C22semidirect
51. C2×C11×#123C22semidirect
52. C2×C11×#123C22semidirect
53. C2×C11×C22⋊Q8C22semidirect
54. C2×C11×C22⋊Q8C22semidirect
55. C2×C11×C22⋊Q8C22semidirect
56. C2×C11×C22⋊Q8C22semidirect
58. C2×C11×#121C22semidirect
59. C2×C11×#121C22semidirect
60. C2×C11×#121C22semidirect
61. C2×#67000C22semidirect
64. C2×#66999C22semidirect
65. C2×#66999C22semidirect
66. C2×#66997C22semidirect
69. C2×#66992C22semidirect
70. C2×#66992C22semidirect
71. C2×#66992C22semidirect
72. C2×#66992C22semidirect
73. C2×#66992C22semidirect
75. C2×#66991C22semidirect
76. C2×#66991C22semidirect
77. C2×#66991C22semidirect
78. C2×#66991C22semidirect
82. C2×#66989C22semidirect
83. C2×#66988C22semidirect
84. C2×#66988C22semidirect
86. C2×#66983C22semidirect
87. C2×#66982C22semidirect
89. C2×C4×C22⋊D11C22semidirect
90. C2×C4×C22⋊D11C22semidirect
93. C2×#66977C22semidirect
94. C2×#66977C22semidirect
95. C2×#66977C22semidirect
96. C22×Dic11⋊C4C22semidirect
97. #10623223C22semidirect
98. #10623221C22semidirect
99. #10623209C22semidirect
100. #10623208C22semidirect
101. #10623207C22semidirect
102. #10623200C22semidirect
103. #10623198C22semidirect
104. #10623193C22semidirect
105. #10623191C22semidirect
106. #10623188C22semidirect
107. #10623187C22semidirect
108. #10623186C22semidirect
109. #10623185C22semidirect
110. #10623185C22semidirect
111. #10623178C22semidirect
112. #10623167C22semidirect
113. #10623165C22semidirect
114. #10623165C22semidirect
115. #10623164C22semidirect
116. #10623162C22semidirect
117. #10623160C22semidirect
118. D11×C22⋊Q8C22semidirect
119. #10623152C22semidirect
120. #10623143C22semidirect
121. #10623141C22semidirect
122. #10623141C22semidirect
123. #10623139C22semidirect
124. #10623139C22semidirect
125. D11×#121C22semidirect
126. #10623128C22semidirect
127. C2×#66951C22semidirect
130. C2×#66950C22semidirect
131. C2×#66950C22semidirect
132. C2×#66950C22semidirect
138. C2×#66949C22semidirect
139. C2×#66949C22semidirect
140. C2×#66949C22semidirect
141. C2×#66949C22semidirect
142. C2×#66949C22semidirect
143. C2×#66949C22semidirect
144. C2×#66949C22semidirect
146. C2×#66948C22semidirect
147. C2×#66948C22semidirect
148. C2×#66947C22semidirect
149. C2×#66947C22semidirect
150. C2×#66947C22semidirect
151. C2×#66947C22semidirect
152. C2×#66947C22semidirect
155. C2×#66946C22semidirect
156. C2×#66946C22semidirect
158. C2×C4⋊C4×D11C22semidirect
159. C2×C4⋊C4×D11C22semidirect
160. C2×C4⋊C4×D11C22semidirect
161. C2×C4⋊C4×D11C22semidirect
162. C2×#66943C22semidirect
163. C2×#66942C22semidirect
164. C2×#66942C22semidirect
165. C2×#66941C22semidirect
166. C2×#66940C22semidirect
167. C2×#66939C22semidirect
168. C2×#66938C22semidirect
169. C2×#66938C22semidirect
170. C2×#66938C22semidirect
171. C2×#66938C22semidirect
172. C2×#66938C22semidirect
173. C2×#66938C22semidirect
177. C2×#66937C22semidirect
178. C2×#66937C22semidirect
179. C2×#66937C22semidirect
180. C2×#66937C22semidirect
181. C2×#66937C22semidirect
182. C2×#66937C22semidirect
183. C2×#66937C22semidirect
184. C2×#66937C22semidirect
185. C2×#66936C22semidirect
186. C2×#66936C22semidirect
187. C2×#66936C22semidirect
188. C2×#66936C22semidirect
189. C2×#66936C22semidirect
195. C2×(C22⋊D11)⋊C4C22semidirect
196. C2×(C22⋊D11)⋊C4C22semidirect
197. C2×(C22⋊D11)⋊C4C22semidirect
204. C2×#66932C22semidirect
205. C2×#66932C22semidirect
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
217. C2×C4×D44C22semidirect
218. C2×C4×Dic22C22semidirect
254. C2×#4343C23semidirect
256. C2×Q8×D11C23semidirect
260. C2×#4341C23semidirect
261. C2×#4341C23semidirect
262. C2×#4341C23semidirect
272. C2×#4339C23semidirect
273. C2×#4339C23semidirect
274. C2×#4339C23semidirect
308. C11×#125C23semidirect
309. C11×#124C23semidirect
310. C11×#124C23semidirect
311. C11×#123C23semidirect
312. C11×#123C23semidirect
313. C11×#123C23semidirect
314. C11×#123C23semidirect
315. C11×C22⋊Q8C23semidirect
316. C11×C22⋊Q8C23semidirect
317. C11×C22⋊Q8C23semidirect
318. C11×C22⋊Q8C23semidirect
320. C11×#121C23semidirect
321. C11×#121C23semidirect
322. C11×#121C23semidirect
356. #67000C23semidirect
359. #66999C23semidirect
360. #66999C23semidirect
361. #66997C23semidirect
364. #66992C23semidirect
365. #66992C23semidirect
366. #66992C23semidirect
367. #66992C23semidirect
368. #66992C23semidirect
370. #66991C23semidirect
371. #66991C23semidirect
372. #66991C23semidirect
373. #66991C23semidirect
377. #66989C23semidirect
378. #66988C23semidirect
379. #66988C23semidirect
381. #66983C23semidirect
382. #66982C23semidirect
384. C4×C22⋊D11C23semidirect
385. C4×C22⋊D11C23semidirect
420. #66977C23semidirect
421. #66977C23semidirect
422. #66977C23semidirect
443. C2×Dic11⋊C4C23semidirect
449. #66951C23semidirect
452. #66950C23semidirect
453. #66950C23semidirect
454. #66950C23semidirect
460. #66949C23semidirect
461. #66949C23semidirect
462. #66949C23semidirect
463. #66949C23semidirect
464. #66949C23semidirect
465. #66949C23semidirect
466. #66949C23semidirect
468. #66948C23semidirect
469. #66948C23semidirect
470. #66947C23semidirect
471. #66947C23semidirect
472. #66947C23semidirect
473. #66947C23semidirect
474. #66947C23semidirect
477. #66946C23semidirect
478. #66946C23semidirect
480. C4⋊C4×D11C23semidirect
481. C4⋊C4×D11C23semidirect
482. C4⋊C4×D11C23semidirect
483. C4⋊C4×D11C23semidirect
484. #66943C23semidirect
485. #66942C23semidirect
486. #66942C23semidirect
487. #66941C23semidirect
488. #66940C23semidirect
489. #66939C23semidirect
490. #66938C23semidirect
491. #66938C23semidirect
492. #66938C23semidirect
493. #66938C23semidirect
494. #66938C23semidirect
495. #66938C23semidirect
499. #66937C23semidirect
500. #66937C23semidirect
501. #66937C23semidirect
502. #66937C23semidirect
503. #66937C23semidirect
504. #66937C23semidirect
505. #66937C23semidirect
506. #66937C23semidirect
507. #66936C23semidirect
508. #66936C23semidirect
509. #66936C23semidirect
510. #66936C23semidirect
511. #66936C23semidirect
517. (C22⋊D11)⋊C4C23semidirect
518. (C22⋊D11)⋊C4C23semidirect
519. (C22⋊D11)⋊C4C23semidirect
526. #66932C23semidirect
527. #66932C23semidirect
528. #66931C23semidirect
529. #66931C23semidirect
530. #66931C23semidirect
531. #66931C23semidirect
532. #66931C23semidirect
533. #66931C23semidirect
534. #66931C23semidirect
535. #66931C23semidirect
536. #66930C23semidirect
537. #66929C23semidirect
539. C4×D44C23semidirect
540. C4×Dic22C23semidirect
815. C2×#562D11semidirect
1013. #562C2×D11semidirect
1047. C2×#125C2×D11semidirect
1056. C2×#124C2×D11semidirect
1057. C2×#124C2×D11semidirect
1073. C2×#123C2×D11semidirect
1074. C2×#123C2×D11semidirect
1075. C2×#123C2×D11semidirect
1076. C2×#123C2×D11semidirect
1110. C2×C22⋊Q8C2×D11semidirect
1111. C2×C22⋊Q8C2×D11semidirect
1112. C2×C22⋊Q8C2×D11semidirect
1113. C2×C22⋊Q8C2×D11semidirect
1144. C2×#121C2×D11semidirect
1145. C2×#121C2×D11semidirect
1146. C2×#121C2×D11semidirect
1347. #125C22×D11semidirect
1356. #124C22×D11semidirect
1357. #124C22×D11semidirect
1372. #123C22×D11semidirect
1373. #123C22×D11semidirect
1374. #123C22×D11semidirect
1375. #123C22×D11semidirect
1408. C22⋊Q8C22×D11semidirect
1409. C22⋊Q8C22×D11semidirect
1410. C22⋊Q8C22×D11semidirect
1411. C22⋊Q8C22×D11semidirect
1441. #121C22×D11semidirect
1442. #121C22×D11semidirect
1443. #121C22×D11semidirect
1575. C2×C11#3536semidirect
1853. C11C2×#3536semidirect
2083. C2#13082835direct (N × H)

Maximal subgroups

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

subgroupindex
#130828352
C2×#106231982
C2×#106231782
C2×#106231522
C2×#106232212
C2×#106231672
C2×#106231642
C2×#106232082
C2×#106231622
C2×#106231862
C2×#106231432
C2×#106232072
C2×#106231852
C2×#106231412
C2×#106231652
C2×#106231932
C2×#106232002
C2×#106232232
C2×#106231912
C2×#106231882
C2×#106232092
C2×#106231602
C2×#106231392
C2×#106231282
C2×#106231872
C2×D11×C22⋊Q82
C2×D11×#1212
C2×C11×#5622
C2×#353611