Finite Group Databasebeta

← C2×#13083250 #15661272

Subgroups — C2×#13083250 #15661272

Order 2816.

6554 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083250C2132yesmaximal, direct product factor
2C2×#10623182C211yesmaximal, characteristic, complemented
3C2×#10623177C211yesmaximal, characteristic, complemented
4C2×#10623152C211yesmaximal, characteristic, complemented
5C2×#10623216C211yesmaximal, characteristic, complemented
6C2×#10623172C211yesmaximal, characteristic, complemented
7C2×#10623202C211yesmaximal, characteristic, complemented
8C2×#10623202C211yesmaximal, characteristic, complemented
9C2×#10623147C211yesmaximal, characteristic, complemented
10C2×#10623167C211yesmaximal, characteristic, complemented
11C2×#10623132C211yesmaximal, characteristic, complemented
12C2×#10623132C211yesmaximal, characteristic, complemented
13C2×#10623181C211yesmaximal, characteristic, complemented
14C2×#10623181C211yesmaximal, characteristic, complemented
15C2×#10623181C211yesmaximal, characteristic, complemented
16C2×#10623170C211yesmaximal, characteristic, complemented
17C2×#10623154C211yesmaximal, characteristic, complemented
18C2×#10623154C211yesmaximal, characteristic, complemented
19C2×#10623193C211yesmaximal, characteristic, complemented
20C2×#10623193C211yesmaximal, characteristic, complemented
21C2×#10623134C211yesmaximal, characteristic, complemented
22C2×#10623134C211yesmaximal, characteristic, complemented
23C2×#10623200C211yesmaximal, characteristic, complemented
24C2×#10623200C211yesmaximal, characteristic, complemented
25C2×#10623156C211yesmaximal, characteristic, complemented
26C2×#10623227C211yesmaximal, characteristic, complemented
27C2×#10623133C211yesmaximal, characteristic, complemented
28C2×#10623191C211yesmaximal, characteristic, complemented
29C2×#10623153C211yesmaximal, characteristic, complemented
30C2×#10623131C211yesmaximal, characteristic, complemented
31C2×#10623180C211yesmaximal, characteristic, complemented
32C2×C11×#562C211yesmaximal, characteristic, complemented
33C11×#562C22116yescomplemented
34C2×C11×#125C2211yescharacteristic
35C2×C11×#124C2211yescharacteristic
36C2×C11×#124C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×#123C2211yescharacteristic
40C2×C11×#123C2211yescharacteristic
41C2×C11×C22⋊Q8C2211yescharacteristic
42C2×C11×C22⋊Q8C2211yescharacteristic
43C2×C11×C22⋊Q8C2211yescharacteristic
44C2×C11×C22⋊Q8C2211yescharacteristic
45C2×C11×#121C2211yescharacteristic
46C2×C11×#121C2211yescharacteristic
47C2×C11×#121C2211yescharacteristic
48C2×C11×#121C2211yescharacteristic
49C2×#66999C2211yescharacteristic
50C2×#66999C2211yescharacteristic
51C2×Q8×Dic11C2211yescharacteristic
52C2×Q8×Dic11C2211yescharacteristic
53C2×#66997C2211yescharacteristic
54C2×#66997C2211yescharacteristic
55C2×#66997C2211yescharacteristic
56C2×#66997C2211yescharacteristic
57C2×#66992C2211yescharacteristic
58C2×#66992C2211yescharacteristic
59C2×#66992C2211yescharacteristic
60C2×#66992C2211yescharacteristic
61C2×#66992C2211yescharacteristic
62C2×#66991C2211yescharacteristic
63C2×#66989C2211yescharacteristic
64C2×#66989C2211yescharacteristic
65C2×#66989C2211yescharacteristic
66C2×#66989C2211yescharacteristic
67C2×#66989C2211yescharacteristic
68C2×#66988C2211yescharacteristic
69C2×#66988C2211yescharacteristic
70C2×#66988C2211yescharacteristic
71C2×#66988C2211yescharacteristic
72C2×#66988C2211yescharacteristic
73C2×#66988C2211yescharacteristic
74C2×#66988C2211yescharacteristic
75C2×D4×Dic11C2211yescharacteristic
76C2×D4×Dic11C2211yescharacteristic
77C2×D4×Dic11C2211yescharacteristic
78C2×D4×Dic11C2211yescharacteristic
79C2×D4×Dic11C2211yescharacteristic
80C2×D4×Dic11C2211yescharacteristic
81C2×#66982C2211yescharacteristic
82C2×C4×C22⋊D11C2211yescharacteristic
83C2×C4×C22⋊D11C2211yescharacteristic
84C2×C4×C22⋊D11C2211yescharacteristic
85C2×#66979C2211yescharacteristic
86C2×#66979C2211yescharacteristic
87C2×#66979C2211yescharacteristic
88C2×#66977C2211yescharacteristic
89C2×#66977C2211yescharacteristic
90C2×#66977C2211yescharacteristic
91C2×#66977C2211yescharacteristic
92C2×#66977C2211yescharacteristic
93C22×Dic11⋊C4C2211yescharacteristic
94C22×Dic11⋊C4C2211yescharacteristic
95C22×Dic11⋊C4C2211yescharacteristic
96C22×C4×Dic11C2211yescharacteristic
97#10623227C22116yescomplemented
98#10623216C22116yescomplemented
99#10623202C22116yescomplemented
100#10623202C22116yescomplemented
101#10623200C22116yescomplemented
102#10623200C22116yescomplemented
103#10623193C22116yescomplemented
104#10623193C22116yescomplemented
105#10623191C22116yescomplemented
106#10623182C22116yescomplemented
107#10623181C22116yescomplemented
108#10623181C22116yescomplemented
109#10623181C22116yescomplemented
110#10623180C22116yescomplemented
111#10623177C22116yescomplemented
112#10623172C22116yescomplemented
113#10623170C22116yescomplemented
114#10623167C22116yescomplemented
115#10623156C22116yescomplemented
116#10623154C22116yescomplemented
117#10623154C22116yescomplemented
118#10623153C22116yescomplemented
119#10623152C22116yescomplemented
120#10623147C22116yescomplemented
121#10623134C22116yescomplemented
122#10623134C22116yescomplemented
123#10623133C22116yescomplemented
124#10623132C22116yescomplemented
125#10623132C22116yescomplemented
126#10623131C22116yescomplemented
127C2×#66951C2211yescharacteristic
128C2×#66951C2211yescharacteristic
129C2×#66951C2211yescharacteristic
130C2×#66951C2211yescharacteristic
131C2×#66949C2211yescharacteristic
132C2×#66949C2211yescharacteristic
133C2×#66949C2211yescharacteristic
134C2×#66945C2211yescharacteristic
135C2×#66945C2211yescharacteristic
136C2×C4⋊C4×D11C2211yescharacteristic
137C2×#66943C2211yescharacteristic
138C2×#66943C2211yescharacteristic
139C2×#66943C2211yescharacteristic
140C2×#66943C2211yescharacteristic
141C2×#66942C2211yescharacteristic
142C2×#66942C2211yescharacteristic
143C2×#66942C2211yescharacteristic
144C2×#66942C2211yescharacteristic
145C2×#66942C2211yescharacteristic
146C2×#66942C2211yescharacteristic
147C2×#66942C2211yescharacteristic
148C2×#66942C2211yescharacteristic
149C2×#66942C2211yescharacteristic
150C2×#66942C2211yescharacteristic
151C2×#66942C2211yescharacteristic
152C2×#66942C2211yescharacteristic
153C2×#66942C2211yescharacteristic
154C2×#66941C2211yescharacteristic
155C2×#66941C2211yescharacteristic
156C2×#66941C2211yescharacteristic
157C2×#66941C2211yescharacteristic
158C2×#66941C2211yescharacteristic
159C2×#66941C2211yescharacteristic
160C2×#66940C2211yescharacteristic
161C2×#66940C2211yescharacteristic
162C2×#66940C2211yescharacteristic
163C2×#66940C2211yescharacteristic
164C2×#66940C2211yescharacteristic
165C2×#66940C2211yescharacteristic
166C2×#66940C2211yescharacteristic
167C2×#66938C2211yescharacteristic
168C2×#66938C2211yescharacteristic
169C2×#66938C2211yescharacteristic
170C2×#66938C2211yescharacteristic
171C2×#66938C2211yescharacteristic
172C2×#66936C2211yescharacteristic
173C2×#66936C2211yescharacteristic
174C2×#66936C2211yescharacteristic
175C2×#66936C2211yescharacteristic
176C2×(C22⋊D11)⋊C4C2211yescharacteristic
177C2×(C22⋊D11)⋊C4C2211yescharacteristic
178C2×(C22⋊D11)⋊C4C2211yescharacteristic
179C2×#66932C2211yescharacteristic
180C2×#66932C2211yescharacteristic
181C2×#66932C2211yescharacteristic
182C2×#66932C2211yescharacteristic
183C2×#66932C2211yescharacteristic
184C2×#66932C2211yescharacteristic
185C2×#66932C2211yescharacteristic
186C2×#66932C2211yescharacteristic
187C2×#66932C2211yescharacteristic
188C2×#66932C2211yescharacteristic
189C2×#66932C2211yescharacteristic
190C2×#66932C2211yescharacteristic
191C2×#66932C2211yescharacteristic
192C2×#66932C2211yescharacteristic
193C2×#66932C2211yescharacteristic
194C2×#66931C2211yescharacteristic
195C2×#66931C2211yescharacteristic
196C2×#66931C2211yescharacteristic
197C2×#66931C2211yescharacteristic
198C2×#66931C2211yescharacteristic
199C2×#66931C2211yescharacteristic
200C2×#66931C2211yescharacteristic
201C2×#66931C2211yescharacteristic
202C2×#66931C2211yescharacteristic
203C2×#66931C2211yescharacteristic
204C2×#66931C2211yescharacteristic
205C2×#66931C2211yescharacteristic
206C2×#66930C2211yescharacteristic
207C2×#66930C2211yescharacteristic
208C2×#66930C2211yescharacteristic
209C2×#66930C2211yescharacteristic
210C2×#66930C2211yescharacteristic
211C2×#66930C2211yescharacteristic
212C2×#66930C2211yescharacteristic
213C2×#66930C2211yescharacteristic
214C2×#66930C2211yescharacteristic
215C2×#66929C2211yescharacteristic
216C2×C4×Dic22C2211yescharacteristic
217C2×C4×Dic22C2211yescharacteristic
218C2×C4×Dic22C2211yescharacteristic
219C22×Q8×C11C2311yescharacteristic
220C22×Q8×C11C2311yescharacteristic
221C22×D4×C11C2311yescharacteristic
222C22×D4×C11C2311yescharacteristic
223C22×D4×C11C2311yescharacteristic
224C22×D4×C11C2311yescharacteristic
225C22×D4×C11C2311yescharacteristic
226C22×D4×C11C2311yescharacteristic
227C23×C4×C11C2311yescharacteristic
228C23×C4×C11C2311yescharacteristic
229C23×C4×C11C2311yescharacteristic
230C23×C4×C11C2311yescharacteristic
231C22×C22⋊D11C2311yescharacteristic
232C22×C22⋊D11C2311yescharacteristic
233C22×C22⋊D11C2311yescharacteristic
234C22×C22⋊D11C2311yescharacteristic
235C23×Dic11C2311yescharacteristic
236C23×Dic11C2311yescharacteristic
237C23×Dic11C2311yescharacteristic
238C23×Dic11C2311yescharacteristic
239C23×Dic11C2311yescharacteristic
240C23×Dic11C2311yescharacteristic
241C23×Dic11C2311yescharacteristic
242C23×Dic11C2311yescharacteristic
243C22×C4×D11C2311yescharacteristic
244C22×C4×D11C2311yescharacteristic
245C22×C4×D11C2311yescharacteristic
246C22×Dic22C2311yescharacteristic
247C22×Dic22C2311yescharacteristic
248C22×Dic22C2311yescharacteristic
249C22×Dic22C2311yescharacteristic
250C22×Dic22C2311yescharacteristic
251C22×Dic22C2311yescharacteristic
252C22×Dic22C2311yescharacteristic
253C22×Dic22C2311yescharacteristic
254C11×#125C2318yes—
255C11×#124C2318yes—
256C11×#124C2318yes—
257C11×#123C2318yes—
258C11×#123C2318yes—
259C11×#123C2318yes—
260C11×#123C2318yes—
261C11×C22⋊Q8C2318yes—
262C11×C22⋊Q8C2318yes—
263C11×C22⋊Q8C2318yes—
264C11×C22⋊Q8C2318yes—
265C11×#121C2318yes—
266C11×#121C2318yes—
267C11×#121C2318yes—
268C11×#121C2318yes—
269C2×C11×C4⋊C4C2311yescharacteristic
270C2×C11×C4⋊C4C2311yescharacteristic
271C2×C11×C4⋊C4C2311yescharacteristic
272C2×C11×C4⋊C4C2311yescharacteristic
273C2×C11×C4⋊C4C2311yescharacteristic
274C2×C11×C4⋊C4C2311yescharacteristic
275C2×C11×C4⋊C4C2311yescharacteristic
276C2×C11×C4⋊C4C2311yescharacteristic
277C2×C11×C4⋊C4C2311yescharacteristic
278C2×C11×C4⋊C4C2311yescharacteristic
279C2×C11×C22⋊C4C2311yescharacteristic
280C2×C11×C22⋊C4C2311yescharacteristic
281C2×C11×C22⋊C4C2311yescharacteristic
282C2×C11×C22⋊C4C2311yescharacteristic
283C2×C11×C22⋊C4C2311yescharacteristic
284C2×C11×C22⋊C4C2311yescharacteristic
285C2×C11×C22⋊C4C2311yescharacteristic
286C2×C11×C22⋊C4C2311yescharacteristic
287C2×C11×C22⋊C4C2311yescharacteristic
288C2×C11×C22⋊C4C2311yescharacteristic
289C2×C11×C22⋊C4C2311yescharacteristic
290C2×C11×C22⋊C4C2311yescharacteristic
291C2×C42×C11C2311yescharacteristic
292C2×C22⋊Dic11C2311yescharacteristic
293C2×C22⋊Dic11C2311yescharacteristic
294C2×C22⋊Dic11C2311yescharacteristic
295C2×C22⋊Dic11C2311yescharacteristic
296C2×C22⋊Dic11C2311yescharacteristic
297C2×C22⋊Dic11C2311yescharacteristic
298C2×C22⋊Dic11C2311yescharacteristic
299C2×C22⋊Dic11C2311yescharacteristic
300C2×C22⋊Dic11C2311yescharacteristic
301C2×C22⋊Dic11C2311yescharacteristic
302C2×C22⋊Dic11C2311yescharacteristic
303C2×C22⋊Dic11C2311yescharacteristic
304C2×C22⋊Dic11C2311yescharacteristic
305C2×C22⋊Dic11C2311yescharacteristic
306C2×C22⋊Dic11C2311yescharacteristic
307C2×C22⋊Dic11C2311yescharacteristic
308C2×C22⋊Dic11C2311yescharacteristic
309C2×C22⋊Dic11C2311yescharacteristic
310C2×C22⋊Dic11C2311yescharacteristic
311C2×C22⋊Dic11C2311yescharacteristic
312#66999C2318yes—
313#66999C2318yes—
314Q8×Dic11C2318yes—
315Q8×Dic11C2318yes—
316#66997C2318yes—
317#66997C2318yes—
318#66997C2318yes—
319#66997C2318yes—
320#66992C2318yes—
321#66992C2318yes—
322#66992C2318yes—
323#66992C2318yes—
324#66992C2318yes—
325#66991C2318yes—
326#66989C2318yes—
327#66989C2318yes—
328#66989C2318yes—
329#66989C2318yes—
330#66989C2318yes—
331#66988C2318yes—
332#66988C2318yes—
333#66988C2318yes—
334#66988C2318yes—
335#66988C2318yes—
336#66988C2318yes—
337#66988C2318yes—
338D4×Dic11C2318yes—
339D4×Dic11C2318yes—
340D4×Dic11C2318yes—
341D4×Dic11C2318yes—
342D4×Dic11C2318yes—
343D4×Dic11C2318yes—
344#66982C2318yes—
345C4×C22⋊D11C2318yes—
346C4×C22⋊D11C2318yes—
347C4×C22⋊D11C2318yes—
348C2×(C2×D11)⋊C4C2311yescharacteristic
349C2×(C2×D11)⋊C4C2311yescharacteristic
350C2×(C2×D11)⋊C4C2311yescharacteristic
351C2×(C2×D11)⋊C4C2311yescharacteristic
352C2×(C2×D11)⋊C4C2311yescharacteristic
353C2×(C2×D11)⋊C4C2311yescharacteristic
354C2×(C2×D11)⋊C4C2311yescharacteristic
355C2×(C2×D11)⋊C4C2311yescharacteristic
356#66979C2318yes—
357#66979C2318yes—
358#66979C2318yes—
359C2×C4⋊Dic11C2311yescharacteristic
360C2×C4⋊Dic11C2311yescharacteristic
361C2×C4⋊Dic11C2311yescharacteristic
362C2×C4⋊Dic11C2311yescharacteristic
363C2×C4⋊Dic11C2311yescharacteristic
364C2×C4⋊Dic11C2311yescharacteristic
365C2×C4⋊Dic11C2311yescharacteristic
366C2×C4⋊Dic11C2311yescharacteristic
367C2×C4⋊Dic11C2311yescharacteristic
368C2×C4⋊Dic11C2311yescharacteristic
369C2×C4⋊Dic11C2311yescharacteristic
370C2×C4⋊Dic11C2311yescharacteristic
371C2×C4⋊Dic11C2311yescharacteristic
372C2×C4⋊Dic11C2311yescharacteristic
373#66977C2318yes—
374#66977C2318yes—
375#66977C2318yes—
376#66977C2318yes—
377#66977C2318yes—
378C2×Dic11⋊C4C2311yescharacteristic
379C2×Dic11⋊C4C2311yescharacteristic
380C2×Dic11⋊C4C2311yescharacteristic
381C2×Dic11⋊C4C2311yescharacteristic
382C2×Dic11⋊C4C2311yescharacteristic
383C2×Dic11⋊C4C2311yescharacteristic
384C2×Dic11⋊C4C2311yescharacteristic
385C2×Dic11⋊C4C2311yescharacteristic
386C2×Dic11⋊C4C2311yescharacteristic
387C2×Dic11⋊C4C2311yescharacteristic
388C2×Dic11⋊C4C2311yescharacteristic
389C2×Dic11⋊C4C2311yescharacteristic
390C2×Dic11⋊C4C2311yescharacteristic
391C2×Dic11⋊C4C2311yescharacteristic
392C2×Dic11⋊C4C2311yescharacteristic
393C2×Dic11⋊C4C2311yescharacteristic
394C2×Dic11⋊C4C2311yescharacteristic
395C2×Dic11⋊C4C2311yescharacteristic
396C2×Dic11⋊C4C2311yescharacteristic
397C2×Dic11⋊C4C2311yescharacteristic
398C2×Dic11⋊C4C2311yescharacteristic
399C2×Dic11⋊C4C2311yescharacteristic
400C2×Dic11⋊C4C2311yescharacteristic
401C2×Dic11⋊C4C2311yescharacteristic
402C2×Dic11⋊C4C2311yescharacteristic
403C2×Dic11⋊C4C2311yescharacteristic
404C2×Dic11⋊C4C2311yescharacteristic
405C2×Dic11⋊C4C2311yescharacteristic
406C2×Dic11⋊C4C2311yescharacteristic
407C2×Dic11⋊C4C2311yescharacteristic
408C2×Dic11⋊C4C2311yescharacteristic
409C2×Dic11⋊C4C2311yescharacteristic
410C2×Dic11⋊C4C2311yescharacteristic
411C2×Dic11⋊C4C2311yescharacteristic
412C2×Dic11⋊C4C2311yescharacteristic
413C2×Dic11⋊C4C2311yescharacteristic
414C2×Dic11⋊C4C2318yes—
415C2×Dic11⋊C4C2318yes—
416C2×Dic11⋊C4C2318yes—
417C2×C4×Dic11C2311yescharacteristic
418C2×C4×Dic11C2311yescharacteristic
419C2×C4×Dic11C2311yescharacteristic
420C2×C4×Dic11C2311yescharacteristic
421C2×C4×Dic11C2311yescharacteristic
422C2×C4×Dic11C2311yescharacteristic
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×Dic11C2311yescharacteristic
434C2×C4×Dic11C2311yescharacteristic
435C2×C4×Dic11C2311yescharacteristic
436C2×C4×Dic11C2318yes—
437#66951C2318yes—
438#66951C2318yes—
439#66951C2318yes—
440#66951C2318yes—
441#66949C2318yes—
442#66949C2318yes—
443#66949C2318yes—
444#66945C2318yes—
445#66945C2318yes—
446C4⋊C4×D11C2318yes—
447#66943C2318yes—
448#66943C2318yes—
449#66943C2318yes—
450#66943C2318yes—
451#66942C2318yes—
452#66942C2318yes—
453#66942C2318yes—
454#66942C2318yes—
455#66942C2318yes—
456#66942C2318yes—
457#66942C2318yes—
458#66942C2318yes—
459#66942C2318yes—
460#66942C2318yes—
461#66942C2318yes—
462#66942C2318yes—
463#66942C2318yes—
464#66941C2318yes—
465#66941C2318yes—
466#66941C2318yes—
467#66941C2318yes—
468#66941C2318yes—
469#66941C2318yes—
470#66940C2318yes—
471#66940C2318yes—
472#66940C2318yes—
473#66940C2318yes—
474#66940C2318yes—
475#66940C2318yes—
476#66940C2318yes—
477#66938C2318yes—
478#66938C2318yes—
479#66938C2318yes—
480#66938C2318yes—
481#66938C2318yes—
482#66936C2318yes—
483#66936C2318yes—
484#66936C2318yes—
485#66936C2318yes—
486(C22⋊D11)⋊C4C2318yes—
487(C22⋊D11)⋊C4C2318yes—
488(C22⋊D11)⋊C4C2318yes—
489#66932C2318yes—
490#66932C2318yes—
491#66932C2318yes—
492#66932C2318yes—
493#66932C2318yes—
494#66932C2318yes—
495#66932C2318yes—
496#66932C2318yes—
497#66932C2318yes—
498#66932C2318yes—
499#66932C2318yes—
500#66932C2318yes—
501#66932C2318yes—
502#66932C2318yes—
503#66932C2318yes—
504#66931C2318yes—
505#66931C2318yes—
506#66931C2318yes—
507#66931C2318yes—
508#66931C2318yes—
509#66931C2318yes—
510#66931C2318yes—
511#66931C2318yes—
512#66931C2318yes—
513#66931C2318yes—
514#66931C2318yes—
515#66931C2318yes—
516#66930C2318yes—
517#66930C2318yes—
518#66930C2318yes—
519#66930C2318yes—
520#66930C2318yes—
521#66930C2318yes—
522#66930C2318yes—
523#66930C2318yes—
524#66930C2318yes—
525#66929C2318yes—
526C4×Dic22C2318yes—
527C4×Dic22C2318yes—
528C4×Dic22C2318yes—
529C2×#3565—111nomaximal, Sylow
530C24×C11C2411yescharacteristic
531C24×C11C2411yescharacteristic
532C24×C11C2411yescharacteristic
533C24×C11C2411yescharacteristic
534C23×D11C2411yescharacteristic
535C2×Q8×C11—42no—
536C2×Q8×C11—42no—
537C2×Q8×C11C2414yes—
538C2×Q8×C11C2414yes—
539C2×D4×C11—42no—
540C2×D4×C11—42no—
541C2×D4×C11—42no—
542C2×D4×C11—42no—
543C2×D4×C11—42no—
544C2×D4×C11—42no—
545C2×D4×C11C2414yes—
546C2×D4×C11C2414yes—
547C2×D4×C11C2414yes—
548C2×D4×C11C2414yes—
549C2×D4×C11C2414yes—
550C2×D4×C11C2414yes—
551C22×C4×C11—42no—
552C22×C4×C11—42no—
553C22×C4×C11—42no—
554C22×C4×C11—42no—
555C22×C4×C11C2411yescharacteristic
556C22×C4×C11C2411yescharacteristic
557C22×C4×C11C2411yescharacteristic
558C22×C4×C11C2411yescharacteristic
559C22×C4×C11C2411yescharacteristic
560C22×C4×C11C2411yescharacteristic
561C22×C4×C11C2411yescharacteristic
562C22×C4×C11C2411yescharacteristic
563C22×C4×C11C2411yescharacteristic
564C22×C4×C11C2411yescharacteristic
565C22×C4×C11C2411yescharacteristic
566C22×C4×C11C2414yes—
567C22×C4×C11C2414yes—
568C22×C4×C11C2414yes—
569C22×C4×C11C2414yes—
570C2×C22⋊D11—24no—
571C2×C22⋊D11—42no—
572C2×C22⋊D11—42no—
573C2×C22⋊D11—42no—
574C2×C22⋊D11C2414yes—
575C2×C22⋊D11C2414yes—
576C2×C22⋊D11C2414yes—
577C2×C22⋊D11C2414yes—
578C22×Dic11—24no—
579C22×Dic11—24no—
580C22×Dic11—24no—
581C22×Dic11—42no—
582C22×Dic11—42no—
583C22×Dic11—42no—
584C22×Dic11—42no—
585C22×Dic11—42no—
586C22×Dic11C2414yes—
587C22×Dic11C2414yes—
588C22×Dic11C2414yes—
589C22×Dic11C2411yescharacteristic
590C22×Dic11C2411yescharacteristic
591C22×Dic11C2411yescharacteristic
592C22×Dic11C2411yescharacteristic
593C22×Dic11C2411yescharacteristic
594C22×Dic11C2411yescharacteristic
595C22×Dic11C2411yescharacteristic
596C22×Dic11C2411yescharacteristic
597C22×Dic11C2411yescharacteristic
598C22×Dic11C2411yescharacteristic
599C22×Dic11C2411yescharacteristic
600C22×Dic11C2411yescharacteristic
601C22×Dic11C2411yescharacteristic
602C22×Dic11C2411yescharacteristic
603C22×Dic11C2414yes—
604C22×Dic11C2414yes—
605C22×Dic11C2414yes—
606C22×Dic11C2414yes—
607C22×Dic11C2414yes—
608C22×Dic11C2411yescharacteristic
609C2×C4×D11—42no—
610C2×C4×D11—42no—
611C2×C4×D11—42no—
612C2×C4×D11C2414yes—
613C2×C4×D11C2414yes—
614C2×C4×D11C2414yes—
615C2×Dic22—24no—
616C2×Dic22—42no—
617C2×Dic22—42no—
618C2×Dic22—42no—
619C2×Dic22—42no—
620C2×Dic22—42no—
621C2×Dic22—42no—
622C2×Dic22—42no—
623C2×Dic22C2414yes—
624C2×Dic22C2414yes—
625C2×Dic22C2414yes—
626C2×Dic22C2414yes—
627C2×Dic22C2414yes—
628C2×Dic22C2414yes—
629C2×Dic22C2414yes—
630C2×Dic22C2414yes—
631C11×C4⋊C4C2414yes—
632C11×C4⋊C4C2414yes—
633C11×C4⋊C4C2414yes—
634C11×C4⋊C4C2414yes—
635C11×C4⋊C4C2414yes—
636C11×C4⋊C4C2414yes—
637C11×C4⋊C4C2414yes—
638C11×C4⋊C4C2414yes—
639C11×C4⋊C4C2414yes—
640C11×C4⋊C4C2414yes—
641C11×C22⋊C4C2414yes—
642C11×C22⋊C4C2414yes—
643C11×C22⋊C4C2414yes—
644C11×C22⋊C4C2414yes—
645C11×C22⋊C4C2414yes—
646C11×C22⋊C4C2414yes—
647C11×C22⋊C4C2414yes—
648C11×C22⋊C4C2414yes—
649C11×C22⋊C4C2414yes—
650C11×C22⋊C4C2414yes—
651C11×C22⋊C4C2414yes—
652C11×C22⋊C4C2414yes—
653C42×C11C2414yes—
654C22⋊Dic11C2414yes—
655C22⋊Dic11C2414yes—
656C22⋊Dic11C2414yes—
657C22⋊Dic11C2414yes—
658C22⋊Dic11C2414yes—
659C22⋊Dic11C2414yes—
660C22⋊Dic11C2414yes—
661C22⋊Dic11C2414yes—
662C22⋊Dic11C2414yes—
663C22⋊Dic11C2414yes—
664C22⋊Dic11C2414yes—
665C22⋊Dic11C2414yes—
666C22⋊Dic11C2414yes—
667C22⋊Dic11C2414yes—
668C22⋊Dic11C2414yes—
669C22⋊Dic11C2414yes—
670C22⋊Dic11C2414yes—
671C22⋊Dic11C2414yes—
672C22⋊Dic11C2414yes—
673C22⋊Dic11C2414yes—
674(C2×D11)⋊C4C2414yes—
675(C2×D11)⋊C4C2414yes—
676(C2×D11)⋊C4C2414yes—
677(C2×D11)⋊C4C2414yes—
678(C2×D11)⋊C4C2414yes—
679(C2×D11)⋊C4C2414yes—
680(C2×D11)⋊C4C2414yes—
681(C2×D11)⋊C4C2414yes—
682C4⋊Dic11C2414yes—
683C4⋊Dic11C2414yes—
684C4⋊Dic11C2414yes—
685C4⋊Dic11C2414yes—
686C4⋊Dic11C2414yes—
687C4⋊Dic11C2414yes—
688C4⋊Dic11C2414yes—
689C4⋊Dic11C2414yes—
690C4⋊Dic11C2414yes—
691C4⋊Dic11C2414yes—
692C4⋊Dic11C2414yes—
693C4⋊Dic11C2414yes—
694C4⋊Dic11C2414yes—
695C4⋊Dic11C2414yes—
696Dic11⋊C4C2414yes—
697Dic11⋊C4C2414yes—
698Dic11⋊C4C2414yes—
699Dic11⋊C4C2414yes—
700Dic11⋊C4C2414yes—
701Dic11⋊C4C2414yes—
702Dic11⋊C4C2414yes—
703Dic11⋊C4C2414yes—
704Dic11⋊C4C2414yes—
705Dic11⋊C4C2414yes—
706Dic11⋊C4C2414yes—
707Dic11⋊C4C2414yes—
708Dic11⋊C4C2414yes—
709Dic11⋊C4C2414yes—
710Dic11⋊C4C2414yes—
711Dic11⋊C4C2414yes—
712Dic11⋊C4C2414yes—
713Dic11⋊C4C2414yes—
714Dic11⋊C4C2414yes—
715Dic11⋊C4C2414yes—
716Dic11⋊C4C2414yes—
717Dic11⋊C4C2414yes—
718Dic11⋊C4C2414yes—
719Dic11⋊C4C2414yes—
720Dic11⋊C4C2414yes—
721Dic11⋊C4C2414yes—
722Dic11⋊C4C2414yes—
723Dic11⋊C4C2414yes—
724Dic11⋊C4C2414yes—
725Dic11⋊C4C2414yes—
726Dic11⋊C4C2414yes—
727Dic11⋊C4C2414yes—
728Dic11⋊C4C2414yes—
729Dic11⋊C4C2414yes—
730Dic11⋊C4C2414yes—
731Dic11⋊C4C2414yes—
732C4×Dic11C2414yes—
733C4×Dic11C2414yes—
734C4×Dic11C2414yes—
735C4×Dic11C2414yes—
736C4×Dic11C2414yes—
737C4×Dic11C2414yes—
738C4×Dic11C2414yes—
739C4×Dic11C2414yes—
740C4×Dic11C2414yes—
741C4×Dic11C2414yes—
742C4×Dic11C2414yes—
743C4×Dic11C2414yes—
744C4×Dic11C2414yes—
745C4×Dic11C2414yes—
746C4×Dic11C2414yes—
747C4×Dic11C2414yes—
748C4×Dic11C2414yes—
749C4×Dic11C2414yes—
750C4×Dic11C2414yes—
751#3565—1132no—
752C2×#563—111no—
753C2×#563—111no—
754C2×#562—111no—
755C2×#562D1111yescharacteristic, complemented
756C2×#557—111no—
757C2×#556—111no—
758C2×#556—111no—
759C2×#556—111no—
760C2×#555—111no—
761C2×#554—111no—
762C2×#553—111no—
763C2×#553—111no—
764C2×#552—111no—
765C2×#552—111no—
766C2×#552—111no—
767C2×#552—111no—
768C2×#544—111no—
769C2×#544—111no—
770C2×#542—111no—
771C2×#542—111no—
772C2×#542—111no—
773C2×#542—111no—
774C2×#542—111no—
775C2×#542—111no—
776C2×#541—111no—
777C2×#541—111no—
778C2×#539—111no—
779C2×#539—111no—
780C2×#533—111no—
781C2×#529—111no—
782C2×#529—111no—
783C23×C11—22no—
784C23×C11—22no—
785C23×C11—22no—
786C23×C11—22no—
787C23×C11—22no—
788C23×C11—22no—
789C23×C11—22no—
790C23×C11—22no—
791C23×C11—22no—
792C23×C11—22no—
793C23×C11—22no—
794C23×C11—22no—
795C23×C11C2512yes—
796C23×C11C2512yes—
797C23×C11C2512yes—
798C23×C11C2512yes—
799C23×C11C2511yescharacteristic
800C22×D11—22no—
801C22×D11—22no—
802C22×D11—22no—
803C22×D11C2512yes—
804Q8×C11—44no—
805Q8×C11—44no—
806D4×C11—44no—
807D4×C11—44no—
808D4×C11—44no—
809D4×C11—44no—
810D4×C11—44no—
811D4×C11—44no—
812C2×C4×C11—22no—
813C2×C4×C11—22no—
814C2×C4×C11—22no—
815C2×C4×C11—22no—
816C2×C4×C11—22no—
817C2×C4×C11—22no—
818C2×C4×C11—22no—
819C2×C4×C11—22no—
820C2×C4×C11—22no—
821C2×C4×C11—22no—
822C2×C4×C11—22no—
823C2×C4×C11—44no—
824C2×C4×C11—44no—
825C2×C4×C11—44no—
826C2×C4×C11—44no—
827C2×C4×C11C2512yes—
828C2×C4×C11C2512yes—
829C2×C4×C11C2512yes—
830C2×C4×C11C2512yes—
831C2×C4×C11C2512yes—
832C2×C4×C11C2512yes—
833C2×C4×C11C2512yes—
834C2×C4×C11C2512yes—
835C2×C4×C11C2512yes—
836C2×C4×C11C2512yes—
837C2×C4×C11C2512yes—
838C22⋊D11—28no—
839C22⋊D11—44no—
840C22⋊D11—44no—
841C22⋊D11—44no—
842C2×Dic11—22no—
843C2×Dic11—22no—
844C2×Dic11—22no—
845C2×Dic11—22no—
846C2×Dic11—22no—
847C2×Dic11—22no—
848C2×Dic11—22no—
849C2×Dic11—22no—
850C2×Dic11—22no—
851C2×Dic11—22no—
852C2×Dic11—22no—
853C2×Dic11—22no—
854C2×Dic11—22no—
855C2×Dic11—22no—
856C2×Dic11—28no—
857C2×Dic11—28no—
858C2×Dic11—28no—
859C2×Dic11—44no—
860C2×Dic11—44no—
861C2×Dic11—44no—
862C2×Dic11—44no—
863C2×Dic11—44no—
864C2×Dic112−1+414yes—
865C2×Dic11C2512yes—
866C2×Dic11C2512yes—
867C2×Dic11C2512yes—
868C2×Dic11C2512yes—
869C2×Dic11C2512yes—
870C2×Dic11C2512yes—
871C2×Dic11C2512yes—
872C2×Dic11C2512yes—
873C2×Dic11C2512yes—
874C2×Dic11C2512yes—
875C2×Dic11C2512yes—
876C2×Dic11C2512yes—
877C2×Dic11C2512yes—
878C2×Dic11C2512yes—
879C2×Dic11C2512yes—
880C4×D11—44no—
881C4×D11—44no—
882C4×D11—44no—
883Dic22—28no—
884Dic22—44no—
885Dic22—44no—
886Dic22—44no—
887Dic22—44no—
888Dic22—44no—
889Dic22—44no—
890Dic22—44no—
891#563—1116no—
892#563—1116no—
893#562—1116no—
894#562C2×D11116yescomplemented
895#557—1116no—
896#556—1116no—
897#556—1116no—
898#556—1116no—
899#555—1116no—
900#554—1116no—
901#553—1116no—
902#553—1116no—
903#552—1116no—
904#552—1116no—
905#552—1116no—
906#552—1116no—
907#544—1116no—
908#544—1116no—
909#542—1116no—
910#542—1116no—
911#542—1116no—
912#542—1116no—
913#542—1116no—
914#542—1116no—
915#541—1116no—
916#541—1116no—
917#539—1116no—
918#539—1116no—
919#533—1116no—
920C2×C4⋊Q8—111no—
921C2×C4⋊Q8—111no—
922C2×C4⋊Q8—111no—
923C2×C4⋊Q8—111no—
924C2×C4⋊Q8—111no—
925C2×C4⋊Q8—111no—
926C2×C4⋊Q8—111no—
927C2×C4⋊Q8—111no—
928C2×C4⋊Q8—111no—
929C2×C4⋊Q8—111no—
930#529—1116no—
931#529—1116no—
932C2×#126—111no—
933C2×#126—111no—
934C2×#126—111no—
935C2×#126—111no—
936C2×#126—111no—
937C2×#126—111no—
938C2×#126—111no—
939C2×#126—111no—
940C2×#126—111no—
941C2×#126—111no—
942C2×#126—111no—
943C2×#126—111no—
944C2×#126—111no—
945C2×#126—111no—
946C2×#126—111no—
947C2×#126—111no—
948C2×#126—111no—
949C2×#126—111no—
950C2×#126—111no—
951C2×#126—111no—
952C2×#125—111no—
953C2×#125—111no—
954C2×#125—111no—
955C2×#125—111no—
956C2×#125—111no—
957C2×#125—111no—
958C2×#125—111no—
959C2×#125—111no—
960C2×#125—111no—
961C2×#125—111no—
962C2×#125—111no—
963C2×#125—111no—
964C2×#125—111no—
965C2×#125—111no—
966C2×#125—111no—
967C2×#125—111no—
968C2×#125—111no—
969C2×#125C2×D1111yescharacteristic
970C2×#124—111no—
971C2×#124—111no—
972C2×#124—111no—
973C2×#124—111no—
974C2×#124—111no—
975C2×#124—111no—
976C2×#124—111no—
977C2×#124—111no—
978C2×#124—111no—
979C2×#124—111no—
980C2×#124C2×D1111yescharacteristic
981C2×#124C2×D1111yescharacteristic
982C2×#123—111no—
983C2×#123—111no—
984C2×#123—111no—
985C2×#123—111no—
986C2×#123—111no—
987C2×#123—111no—
988C2×#123—111no—
989C2×#123—111no—
990C2×#123—111no—
991C2×#123—111no—
992C2×#123—111no—
993C2×#123—111no—
994C2×#123C2×D1111yescharacteristic
995C2×#123C2×D1111yescharacteristic
996C2×#123C2×D1111yescharacteristic
997C2×#123C2×D1111yescharacteristic
998C2×C22⋊Q8—111no—
999C2×C22⋊Q8—111no—
1000C2×C22⋊Q8—111no—
1001C2×C22⋊Q8—111no—
1002C2×C22⋊Q8—111no—
1003C2×C22⋊Q8—111no—
1004C2×C22⋊Q8—111no—
1005C2×C22⋊Q8—111no—
1006C2×C22⋊Q8—111no—
1007C2×C22⋊Q8—111no—
1008C2×C22⋊Q8—111no—
1009C2×C22⋊Q8—111no—
1010C2×C22⋊Q8—111no—
1011C2×C22⋊Q8—111no—
1012C2×C22⋊Q8—111no—
1013C2×C22⋊Q8—111no—
1014C2×C22⋊Q8—111no—
1015C2×C22⋊Q8—111no—
1016C2×C22⋊Q8—111no—
1017C2×C22⋊Q8—111no—
1018C2×C22⋊Q8—111no—
1019C2×C22⋊Q8—111no—
1020C2×C22⋊Q8C2×D1111yescharacteristic
1021C2×C22⋊Q8C2×D1111yescharacteristic
1022C2×C22⋊Q8C2×D1111yescharacteristic
1023C2×C22⋊Q8C2×D1111yescharacteristic
1024C2×#121—111no—
1025C2×#121—111no—
1026C2×#121—111no—
1027C2×#121—111no—
1028C2×#121—111no—
1029C2×#121—111no—
1030C2×#121C2×D1111yescharacteristic
1031C2×#121C2×D1111yescharacteristic
1032C2×#121C2×D1111yescharacteristic
1033C2×#121C2×D1111yescharacteristic
1034C2×C4×Q8—111no—
1035C2×C4×Q8—111no—
1036C2×C4×Q8—111no—
1037C2×C4×Q8—111no—
1038C2×C4×Q8—111no—
1039C2×C4×Q8—111no—
1040C2×C4×Q8—111no—
1041C2×C4×Q8—111no—
1042C2×C4×Q8—111no—
1043C2×C4×Q8—111no—
1044C2×C4×Q8—111no—
1045C2×C4×Q8—111no—
1046C2×C4×D4—111no—
1047C2×C4×D4—111no—
1048C2×C4×D4—111no—
1049C2×C4×D4—111no—
1050C2×C4×D4—111no—
1051C2×C4×D4—111no—
1052C2×C4×D4—111no—
1053C2×C4×D4—111no—
1054C2×C4×D4—111no—
1055C2×C4×D4—111no—
1056C2×C4×D4—111no—
1057C2×C4×D4—111no—
1058C2×#117—111no—
1059C2×#117—111no—
1060C2×#117—111no—
1061C2×#117—111no—
1062C2×#117—111no—
1063C2×#117—111no—
1064C2×#117—111no—
1065C2×#117—111no—
1066C2×#117—111no—
1067C2×#117—111no—
1068C2×#117—111no—
1069C2×#117—111no—
1070C2×#117—111no—
1071C2×#117—111no—
1072C22×C4⋊C4—111no—
1073C22×C4⋊C4—111no—
1074C22×C4⋊C4—111no—
1075C22×C4⋊C4—111no—
1076C22×C42—111no—
1077C22×C11—22no—
1078C22×C11—22no—
1079C22×C11—22no—
1080C22×C11—22no—
1081C22×C11—22no—
1082C22×C11—22no—
1083C22×C11—22no—
1084C22×C11—22no—
1085C22×C11—22no—
1086C22×C11—22no—
1087C22×C11—22no—
1088C22×C11—22no—
1089C22×C11—44no—
1090C22×C11—44no—
1091C22×C11—44no—
1092C22×C11—44no—
1093C22×C11C2×2−1+412yes—
1094C22×C11#58512yes—
1095C22×C11#58512yes—
1096C22×C11C2611yescharacteristic
1097C2×D11—22no—
1098C2×D11—22no—
1099C2×D11—22no—
1100C2×D11—44no—
1101C4×C11—22no—
1102C4×C11—22no—
1103C4×C11—22no—
1104C4×C11—22no—
1105C4×C11—22no—
1106C4×C11—22no—
1107C4×C11—22no—
1108C4×C11—22no—
1109C4×C11—22no—
1110C4×C11—22no—
1111C4×C11—22no—
1112Dic11—22no—
1113Dic11—22no—
1114Dic11—22no—
1115Dic11—22no—
1116Dic11—22no—
1117Dic11—22no—
1118Dic11—22no—
1119Dic11—22no—
1120Dic11—22no—
1121Dic11—22no—
1122Dic11—22no—
1123Dic11—22no—
1124Dic11—22no—
1125Dic11—22no—
1126Dic11C2×2−1+414yes—
1127C22×Q8—111no—
1128C22×Q8—111no—
1129C22×Q8—111no—
1130C22×Q8—111no—
1131C22×Q8—111no—
1132C22×Q8—111no—
1133C22×Q8—111no—
1134C22×Q8—111no—
1135C22×Q8C22×D1111yescharacteristic
1136C22×Q8C22×D1111yescharacteristic
1137C22×D4—111no—
1138C22×D4—111no—
1139C22×D4—111no—
1140C22×D4—111no—
1141C22×D4C22×D1111yescharacteristic
1142C22×D4C22×D1111yescharacteristic
1143C22×D4C22×D1111yescharacteristic
1144C22×D4C22×D1111yescharacteristic
1145C22×D4C22×D1111yescharacteristic
1146C22×D4C22×D1111yescharacteristic
1147C23×C4—111no—
1148C23×C4—111no—
1149C23×C4—111no—
1150C23×C4—111no—
1151C23×C4—111no—
1152C23×C4—111no—
1153C23×C4—111no—
1154C23×C4—111no—
1155C23×C4—111no—
1156C23×C4—111no—
1157C23×C4—111no—
1158C23×C4C22×D1111yescharacteristic
1159C23×C4C22×D1111yescharacteristic
1160C23×C4C22×D1111yescharacteristic
1161C23×C4C22×D1111yescharacteristic
1162C4⋊Q8—118no—
1163C4⋊Q8—118no—
1164C4⋊Q8—118no—
1165C4⋊Q8—118no—
1166C4⋊Q8—118no—
1167C4⋊Q8—118no—
1168C4⋊Q8—118no—
1169C4⋊Q8—118no—
1170C4⋊Q8—118no—
1171C4⋊Q8—118no—
1172#126—118no—
1173#126—118no—
1174#126—118no—
1175#126—118no—
1176#126—118no—
1177#126—118no—
1178#126—118no—
1179#126—118no—
1180#126—118no—
1181#126—118no—
1182#126—118no—
1183#126—118no—
1184#126—118no—
1185#126—118no—
1186#126—118no—
1187#126—118no—
1188#126—118no—
1189#126—118no—
1190#126—118no—
1191#126—118no—
1192#125—118no—
1193#125—118no—
1194#125—118no—
1195#125—118no—
1196#125—118no—
1197#125—118no—
1198#125—118no—
1199#125—118no—
1200#125—118no—
1201#125—118no—
1202#125—118no—
1203#125—118no—
1204#125—118no—
1205#125—118no—
1206#125—118no—
1207#125—118no—
1208#125—118no—
1209#125C22×D1118yes—
1210#124—118no—
1211#124—118no—
1212#124—118no—
1213#124—118no—
1214#124—118no—
1215#124—118no—
1216#124—118no—
1217#124—118no—
1218#124—118no—
1219#124—118no—
1220#124C22×D1118yes—
1221#124C22×D1118yes—
1222#123—118no—
1223#123—118no—
1224#123—118no—
1225#123—118no—
1226#123—118no—
1227#123—118no—
1228#123—118no—
1229#123—118no—
1230#123—118no—
1231#123—118no—
1232#123—118no—
1233#123—118no—
1234#123C22×D1118yes—
1235#123C22×D1118yes—
1236#123C22×D1118yes—
1237#123C22×D1118yes—
1238C22⋊Q8—118no—
1239C22⋊Q8—118no—
1240C22⋊Q8—118no—
1241C22⋊Q8—118no—
1242C22⋊Q8—118no—
1243C22⋊Q8—118no—
1244C22⋊Q8—118no—
1245C22⋊Q8—118no—
1246C22⋊Q8—118no—
1247C22⋊Q8—118no—
1248C22⋊Q8—118no—
1249C22⋊Q8—118no—
1250C22⋊Q8—118no—
1251C22⋊Q8—118no—
1252C22⋊Q8—118no—
1253C22⋊Q8—118no—
1254C22⋊Q8—118no—
1255C22⋊Q8—118no—
1256C22⋊Q8—118no—
1257C22⋊Q8—118no—
1258C22⋊Q8—118no—
1259C22⋊Q8—118no—
1260C22⋊Q8C22×D1118yes—
1261C22⋊Q8C22×D1118yes—
1262C22⋊Q8C22×D1118yes—
1263C22⋊Q8C22×D1118yes—
1264#121—118no—
1265#121—118no—
1266#121—118no—
1267#121—118no—
1268#121—118no—
1269#121—118no—
1270#121C22×D1118yes—
1271#121C22×D1118yes—
1272#121C22×D1118yes—
1273#121C22×D1118yes—
1274C4×Q8—118no—
1275C4×Q8—118no—
1276C4×Q8—118no—
1277C4×Q8—118no—
1278C4×Q8—118no—
1279C4×Q8—118no—
1280C4×Q8—118no—
1281C4×Q8—118no—
1282C4×Q8—118no—
1283C4×Q8—118no—
1284C4×Q8—118no—
1285C4×Q8—118no—
1286C4×D4—118no—
1287C4×D4—118no—
1288C4×D4—118no—
1289C4×D4—118no—
1290C4×D4—118no—
1291C4×D4—118no—
1292C4×D4—118no—
1293C4×D4—118no—
1294C4×D4—118no—
1295C4×D4—118no—
1296C4×D4—118no—
1297C4×D4—118no—
1298#117—118no—
1299#117—118no—
1300#117—118no—
1301#117—118no—
1302#117—118no—
1303#117—118no—
1304#117—118no—
1305#117—118no—
1306#117—118no—
1307#117—118no—
1308#117—118no—
1309#117—118no—
1310#117—118no—
1311#117—118no—
1312C2×C4⋊C4—111no—
1313C2×C4⋊C4—111no—
1314C2×C4⋊C4—111no—
1315C2×C4⋊C4—111no—
1316C2×C4⋊C4—111no—
1317C2×C4⋊C4—111no—
1318C2×C4⋊C4—111no—
1319C2×C4⋊C4—111no—
1320C2×C4⋊C4—111no—
1321C2×C4⋊C4—111no—
1322C2×C4⋊C4—111no—
1323C2×C4⋊C4—111no—
1324C2×C4⋊C4—111no—
1325C2×C4⋊C4—111no—
1326C2×C4⋊C4—118no—
1327C2×C4⋊C4—118no—
1328C2×C4⋊C4—118no—
1329C2×C4⋊C4—111no—
1330C2×C4⋊C4—111no—
1331C2×C4⋊C4—111no—
1332C2×C4⋊C4—111no—
1333C2×C4⋊C4—111no—
1334C2×C4⋊C4—111no—
1335C2×C4⋊C4—111no—
1336C2×C4⋊C4—111no—
1337C2×C4⋊C4—111no—
1338C2×C4⋊C4—111no—
1339C2×C4⋊C4—111no—
1340C2×C4⋊C4—111no—
1341C2×C4⋊C4—111no—
1342C2×C4⋊C4—111no—
1343C2×C4⋊C4—111no—
1344C2×C4⋊C4—111no—
1345C2×C4⋊C4—111no—
1346C2×C4⋊C4—111no—
1347C2×C4⋊C4—111no—
1348C2×C4⋊C4—111no—
1349C2×C4⋊C4—111no—
1350C2×C4⋊C4—111no—
1351C2×C4⋊C4—111no—
1352C2×C4⋊C4—111no—
1353C2×C4⋊C4—111no—
1354C2×C4⋊C4—111no—
1355C2×C4⋊C4—111no—
1356C2×C4⋊C4—111no—
1357C2×C4⋊C4—111no—
1358C2×C4⋊C4—111no—
1359C2×C4⋊C4—111no—
1360C2×C4⋊C4—111no—
1361C2×C4⋊C4—111no—
1362C2×C4⋊C4—111no—
1363C2×C4⋊C4—111no—
1364C2×C4⋊C4—111no—
1365C2×C4⋊C4—118no—
1366C2×C4⋊C4C22×D1111yescharacteristic
1367C2×C4⋊C4C22×D1111yescharacteristic
1368C2×C4⋊C4C22×D1111yescharacteristic
1369C2×C4⋊C4C22×D1111yescharacteristic
1370C2×C4⋊C4C22×D1111yescharacteristic
1371C2×C4⋊C4C22×D1111yescharacteristic
1372C2×C4⋊C4C22×D1111yescharacteristic
1373C2×C4⋊C4C22×D1111yescharacteristic
1374C2×C4⋊C4C22×D1111yescharacteristic
1375C2×C4⋊C4C22×D1111yescharacteristic
1376C2×C22⋊C4—111no—
1377C2×C22⋊C4—111no—
1378C2×C22⋊C4—111no—
1379C2×C22⋊C4—111no—
1380C2×C22⋊C4—111no—
1381C2×C22⋊C4—111no—
1382C2×C22⋊C4—111no—
1383C2×C22⋊C4—111no—
1384C2×C22⋊C4—111no—
1385C2×C22⋊C4—111no—
1386C2×C22⋊C4—111no—
1387C2×C22⋊C4—111no—
1388C2×C22⋊C4—111no—
1389C2×C22⋊C4—111no—
1390C2×C22⋊C4—111no—
1391C2×C22⋊C4—111no—
1392C2×C22⋊C4—111no—
1393C2×C22⋊C4—111no—
1394C2×C22⋊C4—111no—
1395C2×C22⋊C4—111no—
1396C2×C22⋊C4—111no—
1397C2×C22⋊C4—111no—
1398C2×C22⋊C4—111no—
1399C2×C22⋊C4—111no—
1400C2×C22⋊C4—111no—
1401C2×C22⋊C4—111no—
1402C2×C22⋊C4—111no—
1403C2×C22⋊C4—111no—
1404C2×C22⋊C4C22×D1111yescharacteristic
1405C2×C22⋊C4C22×D1111yescharacteristic
1406C2×C22⋊C4C22×D1111yescharacteristic
1407C2×C22⋊C4C22×D1111yescharacteristic
1408C2×C22⋊C4C22×D1111yescharacteristic
1409C2×C22⋊C4C22×D1111yescharacteristic
1410C2×C22⋊C4C22×D1111yescharacteristic
1411C2×C22⋊C4C22×D1111yescharacteristic
1412C2×C22⋊C4C22×D1111yescharacteristic
1413C2×C22⋊C4C22×D1111yescharacteristic
1414C2×C22⋊C4C22×D1111yescharacteristic
1415C2×C22⋊C4C22×D1111yescharacteristic
1416C2×C42—111no—
1417C2×C42—111no—
1418C2×C42—111no—
1419C2×C42—111no—
1420C2×C42—111no—
1421C2×C42—111no—
1422C2×C42—111no—
1423C2×C42—111no—
1424C2×C42—111no—
1425C2×C42—111no—
1426C2×C42—111no—
1427C2×C42—111no—
1428C2×C42—111no—
1429C2×C42—111no—
1430C2×C42—111no—
1431C2×C42—111no—
1432C2×C42—111no—
1433C2×C42—111no—
1434C2×C42—111no—
1435C2×C42—118no—
1436C2×C42C22×D1111yescharacteristic
1437C2×C11—42no—
1438C2×C11—42no—
1439C2×C11—42no—
1440C2×C11—42no—
1441C2×C11#356514yescomplemented
1442C2×C11C22×2−1+411yescharacteristic
1443C2×C11C2×#58511yescharacteristic
1444C2×C11C2×#58511yescharacteristic
1445D11—42no—
1446C24—111no—
1447C24C23×D1111yescharacteristic
1448C24C23×D1111yescharacteristic
1449C24C23×D1111yescharacteristic
1450C24C23×D1111yescharacteristic
1451C2×Q8—42no—
1452C2×Q8—42no—
1453C2×Q8—114no—
1454C2×Q8—114no—
1455C2×Q8—114no—
1456C2×Q8—114no—
1457C2×Q8—114no—
1458C2×Q8—114no—
1459C2×Q8—114no—
1460C2×Q8—114no—
1461C2×Q8—224no—
1462C2×Q8—442no—
1463C2×Q8—442no—
1464C2×Q8—442no—
1465C2×Q8—442no—
1466C2×Q8—442no—
1467C2×Q8—442no—
1468C2×Q8—442no—
1469C2×Q8C23×D1114yes—
1470C2×Q8C23×D1114yes—
1471C2×D4—42no—
1472C2×D4—42no—
1473C2×D4—42no—
1474C2×D4—42no—
1475C2×D4—42no—
1476C2×D4—42no—
1477C2×D4—114no—
1478C2×D4—114no—
1479C2×D4—114no—
1480C2×D4—114no—
1481C2×D4—224no—
1482C2×D4—442no—
1483C2×D4—442no—
1484C2×D4—442no—
1485C2×D4C23×D1114yes—
1486C2×D4C23×D1114yes—
1487C2×D4C23×D1114yes—
1488C2×D4C23×D1114yes—
1489C2×D4C23×D1114yes—
1490C2×D4C23×D1114yes—
1491C22×C4—42no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—111no—
1496C22×C4—114no—
1497C22×C4—114no—
1498C22×C4—114no—
1499C22×C4—111no—
1500C22×C4—111no—
1501C22×C4—111no—
1502C22×C4—111no—
1503C22×C4—111no—
1504C22×C4—111no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—111no—
1508C22×C4—111no—
1509C22×C4—111no—
1510C22×C4—111no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—114no—
1514C22×C4—114no—
1515C22×C4—114no—
1516C22×C4—114no—
1517C22×C4—114no—
1518C22×C4—114no—
1519C22×C4—114no—
1520C22×C4—114no—
1521C22×C4—224no—
1522C22×C4—224no—
1523C22×C4—224no—
1524C22×C4—442no—
1525C22×C4—442no—
1526C22×C4—442no—
1527C22×C4—442no—
1528C22×C4—442no—
1529C22×C4—442no—
1530C22×C4—442no—
1531C22×C4—442no—
1532C22×C4C23×D1111yescharacteristic
1533C22×C4C23×D1111yescharacteristic
1534C22×C4C23×D1111yescharacteristic
1535C22×C4C23×D1111yescharacteristic
1536C22×C4C23×D1111yescharacteristic
1537C22×C4C23×D1111yescharacteristic
1538C22×C4C23×D1111yescharacteristic
1539C22×C4C23×D1111yescharacteristic
1540C22×C4C23×D1111yescharacteristic
1541C22×C4C23×D1111yescharacteristic
1542C22×C4C23×D1111yescharacteristic
1543C22×C4C23×D1114yes—
1544C22×C4C23×D1114yes—
1545C22×C4C23×D1114yes—
1546C22×C4C23×D1114yes—
1547C4⋊C4—114no—
1548C4⋊C4—114no—
1549C4⋊C4—114no—
1550C4⋊C4—114no—
1551C4⋊C4—114no—
1552C4⋊C4—114no—
1553C4⋊C4—114no—
1554C4⋊C4—114no—
1555C4⋊C4—114no—
1556C4⋊C4—114no—
1557C4⋊C4—114no—
1558C4⋊C4—114no—
1559C4⋊C4—114no—
1560C4⋊C4—114no—
1561C4⋊C4—114no—
1562C4⋊C4—114no—
1563C4⋊C4—114no—
1564C4⋊C4—114no—
1565C4⋊C4—114no—
1566C4⋊C4—114no—
1567C4⋊C4—114no—
1568C4⋊C4—114no—
1569C4⋊C4—114no—
1570C4⋊C4—114no—
1571C4⋊C4—114no—
1572C4⋊C4—114no—
1573C4⋊C4—114no—
1574C4⋊C4—114no—
1575C4⋊C4—114no—
1576C4⋊C4—114no—
1577C4⋊C4—114no—
1578C4⋊C4—114no—
1579C4⋊C4—114no—
1580C4⋊C4—114no—
1581C4⋊C4—114no—
1582C4⋊C4—114no—
1583C4⋊C4—114no—
1584C4⋊C4—114no—
1585C4⋊C4—114no—
1586C4⋊C4—114no—
1587C4⋊C4—114no—
1588C4⋊C4—114no—
1589C4⋊C4—114no—
1590C4⋊C4—114no—
1591C4⋊C4—114no—
1592C4⋊C4—114no—
1593C4⋊C4—114no—
1594C4⋊C4—114no—
1595C4⋊C4—114no—
1596C4⋊C4—114no—
1597C4⋊C4C23×D1114yes—
1598C4⋊C4C23×D1114yes—
1599C4⋊C4C23×D1114yes—
1600C4⋊C4C23×D1114yes—
1601C4⋊C4C23×D1114yes—
1602C4⋊C4C23×D1114yes—
1603C4⋊C4C23×D1114yes—
1604C4⋊C4C23×D1114yes—
1605C4⋊C4C23×D1114yes—
1606C4⋊C4C23×D1114yes—
1607C22⋊C4—114no—
1608C22⋊C4—114no—
1609C22⋊C4—114no—
1610C22⋊C4—114no—
1611C22⋊C4—114no—
1612C22⋊C4—114no—
1613C22⋊C4—114no—
1614C22⋊C4—114no—
1615C22⋊C4—114no—
1616C22⋊C4—114no—
1617C22⋊C4—114no—
1618C22⋊C4—114no—
1619C22⋊C4—114no—
1620C22⋊C4—114no—
1621C22⋊C4—114no—
1622C22⋊C4—114no—
1623C22⋊C4—114no—
1624C22⋊C4—114no—
1625C22⋊C4—114no—
1626C22⋊C4—114no—
1627C22⋊C4—114no—
1628C22⋊C4—114no—
1629C22⋊C4—114no—
1630C22⋊C4—114no—
1631C22⋊C4—114no—
1632C22⋊C4—114no—
1633C22⋊C4—114no—
1634C22⋊C4—114no—
1635C22⋊C4C23×D1114yes—
1636C22⋊C4C23×D1114yes—
1637C22⋊C4C23×D1114yes—
1638C22⋊C4C23×D1114yes—
1639C22⋊C4C23×D1114yes—
1640C22⋊C4C23×D1114yes—
1641C22⋊C4C23×D1114yes—
1642C22⋊C4C23×D1114yes—
1643C22⋊C4C23×D1114yes—
1644C22⋊C4C23×D1114yes—
1645C22⋊C4C23×D1114yes—
1646C22⋊C4C23×D1114yes—
1647C42—114no—
1648C42—114no—
1649C42—114no—
1650C42—114no—
1651C42—114no—
1652C42—114no—
1653C42—114no—
1654C42—114no—
1655C42—114no—
1656C42—114no—
1657C42—114no—
1658C42—114no—
1659C42—114no—
1660C42—114no—
1661C42—114no—
1662C42—114no—
1663C42—114no—
1664C42—114no—
1665C42—114no—
1666C42C23×D1114yes—
1667C11C2×#356511yescharacteristic, complemented, Sylow
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—22no—
1675C23—22no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—112no—
1681C23—222no—
1682C23—222no—
1683C23—222no—
1684C23C24×D1112yes—
1685C23C24×D1112yes—
1686C23C24×D1112yes—
1687C23C24×D1112yes—
1688C23C24×D1111yescharacteristic
1689Q8—44no—
1690Q8—44no—
1691Q8—228no—
1692Q8—444no—
1693Q8—444no—
1694Q8—444no—
1695Q8—444no—
1696Q8—444no—
1697Q8—444no—
1698Q8—444no—
1699D4—44no—
1700D4—44no—
1701D4—44no—
1702D4—44no—
1703D4—44no—
1704D4—44no—
1705D4—228no—
1706D4—444no—
1707D4—444no—
1708D4—444no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—114no—
1725C2×C4—112no—
1726C2×C4—112no—
1727C2×C4—112no—
1728C2×C4—112no—
1729C2×C4—112no—
1730C2×C4—112no—
1731C2×C4—112no—
1732C2×C4—112no—
1733C2×C4—112no—
1734C2×C4—112no—
1735C2×C4—112no—
1736C2×C4—112no—
1737C2×C4—112no—
1738C2×C4—112no—
1739C2×C4—112no—
1740C2×C4—228no—
1741C2×C4—228no—
1742C2×C4—228no—
1743C2×C4—222no—
1744C2×C4—222no—
1745C2×C4—222no—
1746C2×C4—222no—
1747C2×C4—222no—
1748C2×C4—222no—
1749C2×C4—222no—
1750C2×C4—222no—
1751C2×C4—222no—
1752C2×C4—222no—
1753C2×C4—222no—
1754C2×C4—222no—
1755C2×C4—222no—
1756C2×C4—222no—
1757C2×C4—444no—
1758C2×C4—444no—
1759C2×C4—444no—
1760C2×C4—444no—
1761C2×C4—444no—
1762C2×C4—444no—
1763C2×C4—444no—
1764C2×C4—444no—
1765C2×C4C24×D1112yes—
1766C2×C4C24×D1112yes—
1767C2×C4C24×D1112yes—
1768C2×C4C24×D1112yes—
1769C2×C4C24×D1112yes—
1770C2×C4C24×D1112yes—
1771C2×C4C24×D1112yes—
1772C2×C4C24×D1112yes—
1773C2×C4C24×D1112yes—
1774C2×C4C24×D1112yes—
1775C2×C4C24×D1112yes—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—44no—
1789C22—44no—
1790C22—44no—
1791C22—44no—
1792C22—222no—
1793C22—222no—
1794C22—222no—
1795C22—444no—
1796C22#1062345512yes—
1797C22#1062345512yes—
1798C22D11×2−1+412yes—
1799C22C25×D1111yescharacteristic
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—22no—
1811C4—114no—
1812C4—222no—
1813C4—222no—
1814C4—222no—
1815C4—222no—
1816C4—222no—
1817C4—222no—
1818C4—222no—
1819C4—222no—
1820C4—222no—
1821C4—222no—
1822C4—222no—
1823C4—222no—
1824C4—222no—
1825C4—222no—
1826C2—42no—
1827C2—42no—
1828C2—42no—
1829C2—42no—
1830C2—442no—
1831C2#1308325014yesdirect product factor
1832C2C2×D11×2−1+411yescharacteristic
1833C2C2×#1062345511yescharacteristic
1834C2C2×#1062345511yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#562C2
socleC23×C11C25
hypercenterC2×#562D11
hypocenterC11C2×#3565
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#562

Complements

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

NH ≅ G/Ntype
1. #13083250C2direct (N × H)
2. C2×#10623182C2semidirect
3. C2×#10623177C2semidirect
4. C2×#10623152C2semidirect
5. C2×#10623216C2semidirect
6. C2×#10623172C2semidirect
7. C2×#10623202C2semidirect
8. C2×#10623202C2semidirect
9. C2×#10623147C2semidirect
10. C2×#10623167C2semidirect
11. C2×#10623132C2semidirect
12. C2×#10623132C2semidirect
13. C2×#10623181C2semidirect
14. C2×#10623181C2semidirect
15. C2×#10623181C2semidirect
16. C2×#10623170C2semidirect
17. C2×#10623154C2semidirect
18. C2×#10623154C2semidirect
19. C2×#10623193C2semidirect
20. C2×#10623193C2semidirect
21. C2×#10623134C2semidirect
22. C2×#10623134C2semidirect
23. C2×#10623200C2semidirect
24. C2×#10623200C2semidirect
25. C2×#10623156C2semidirect
26. C2×#10623227C2semidirect
27. C2×#10623133C2semidirect
28. C2×#10623191C2semidirect
29. C2×#10623153C2semidirect
30. C2×#10623131C2semidirect
31. C2×#10623180C2semidirect
32. C2×C11×#562C2semidirect
33. C11×#562C22semidirect
97. #10623227C22semidirect
98. #10623216C22semidirect
99. #10623202C22semidirect
100. #10623202C22semidirect
101. #10623200C22semidirect
102. #10623200C22semidirect
103. #10623193C22semidirect
104. #10623193C22semidirect
105. #10623191C22semidirect
106. #10623182C22semidirect
107. #10623181C22semidirect
108. #10623181C22semidirect
109. #10623181C22semidirect
110. #10623180C22semidirect
111. #10623177C22semidirect
112. #10623172C22semidirect
113. #10623170C22semidirect
114. #10623167C22semidirect
115. #10623156C22semidirect
116. #10623154C22semidirect
117. #10623154C22semidirect
118. #10623153C22semidirect
119. #10623152C22semidirect
120. #10623147C22semidirect
121. #10623134C22semidirect
122. #10623134C22semidirect
123. #10623133C22semidirect
124. #10623132C22semidirect
125. #10623132C22semidirect
126. #10623131C22semidirect
755. C2×#562D11semidirect
894. #562C2×D11semidirect
1441. C2×C11#3565semidirect
1667. C11C2×#3565semidirect
1831. C2#13083250direct (N × H)

Maximal subgroups

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

subgroupindex
#130832502
C2×#106231822
C2×#106231772
C2×#106231522
C2×#106232162
C2×#106231722
C2×#106232022
C2×#106231472
C2×#106231672
C2×#106231322
C2×#106231812
C2×#106231702
C2×#106231542
C2×#106231932
C2×#106231342
C2×#106232002
C2×#106231562
C2×#106232272
C2×#106231332
C2×#106231912
C2×#106231532
C2×#106231312
C2×#106231802
C2×C11×#5622
C2×#356511