Finite Group Databasebeta

← C2×#13082836 #15660988

Subgroups — C2×#13082836 #15660988

Order 2816.

7962 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082836C2132yesmaximal, direct product factor
2C2×#10623198C212yesmaximal, complemented
3C2×#10623152C212yesmaximal, complemented
4C2×#10623166C211yesmaximal, characteristic, complemented
5C2×#10623074C211yesmaximal, characteristic, complemented
6C2×#10623208C211yesmaximal, characteristic, complemented
7C2×#10623362C211yesmaximal, characteristic, complemented
8C2×#10623082C211yesmaximal, characteristic, complemented
9C2×#10623142C211yesmaximal, characteristic, complemented
10C2×#10623337C211yesmaximal, characteristic, complemented
11C2×#10623021C212yesmaximal, complemented
12C2×#10623122C212yesmaximal, complemented
13C2×#10623014C212yesmaximal, complemented
14C2×#10623213C211yesmaximal, characteristic, complemented
15C2×#10623092C211yesmaximal, characteristic, complemented
16C2×#10623191C212yesmaximal, complemented
17C2×#10623124C212yesmaximal, complemented
18C2×#10623139C212yesmaximal, complemented
19C2×#10623139C211yesmaximal, characteristic, complemented
20C2×#10623364C211yesmaximal, characteristic, complemented
21C2×#10623078C211yesmaximal, characteristic, complemented
22C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
23C22×#66991C211yesmaximal, characteristic, complemented
24C2×C11×#546C211yesmaximal, characteristic, complemented
25C22×C11×#41C2211yescharacteristic, complemented
26C23×D4×C11C2211yescharacteristic
27C23×C22⋊D11C2212yes—
28C22×Q8×D11C2211yescharacteristic, complemented
29C22×#4341C2212yescomplemented
30C22×#4341C2211yescharacteristic, complemented
31C22×#4339C2211yescharacteristic, complemented
32C22×#4339C2212yescomplemented
33C23×C4×D11C2211yescharacteristic
34C11×#546C22116yescomplemented
35C2×C11×#124C2211yescharacteristic, complemented
36C2×C11×#123C2212yescomplemented
37C2×C11×C22⋊Q8C2211yescharacteristic
38C2×C11×#121C2212yescomplemented
39C2×C11×#121C2211yescharacteristic, complemented
40C2×C11×#120C2212yes—
41C2×C4×D4×C11C2211yescharacteristic
42C2×C4×D4×C11C2211yescharacteristic, complemented
43C22×C11×C22⋊C4C2212yes—
44C2×#67006C2212yes—
45C22×C22⋊Dic11C2212yes—
46C22×C22⋊Dic11C2212yes—
47#10623364C22116yescomplemented
48#10623362C22116yescomplemented
49C2×#66999C2211yescharacteristic, complemented
50C2×#66999C2211yescharacteristic, complemented
51C2×Q8×Dic11C2211yescharacteristic, complemented
52#10623337C22116yescomplemented
53C2×#66992C2211yescharacteristic
54C2×#66992C2212yescomplemented
55C2×#66992C2212yescomplemented
56C2×#66992C2212yescomplemented
57C2×#66992C2212yescomplemented
58C2×#66991C2211yescharacteristic
59C2×#66991C2212yes—
60C2×#66991C2211yescharacteristic
61C2×#66991C2212yes—
62C2×#66991C2211yescharacteristic
63C2×#66991C2211yescharacteristic
64C2×#66991C22116yescomplemented
65C2×#66991C2211yescharacteristic, complemented
66C2×#66991C2212yescomplemented
67C2×#66991C2212yescomplemented
68C2×#66990C2211yescharacteristic
69C2×#66989C2212yescomplemented
70C2×#66989C2211yescharacteristic, complemented
71C2×#66988C2212yescomplemented
72C2×#66988C2212yescomplemented
73C2×D4×Dic11C2212yes—
74C2×D4×Dic11C2211yescharacteristic, complemented
75C2×#66983C2212yescomplemented
76C2×#66982C2212yescomplemented
77C2×C4×C22⋊D11C2211yescharacteristic
78C2×C4×C22⋊D11C2211yescharacteristic, complemented
79C2×C4×C22⋊D11C2212yescomplemented
80C22×C4⋊Dic11C2211yescharacteristic
81C22×C4⋊Dic11C2211yescharacteristic, complemented
82C2×#66977C2211yescharacteristic
83C2×#66977C2211yescharacteristic, complemented
84C2×#66977C2212yescomplemented
85C2×#66977C2212yescomplemented
86C2×#66977C2212yescomplemented
87C2×#66977C2212yescomplemented
88#10623213C22116yescomplemented
89#10623208C22116yescomplemented
90#10623198C22132yescomplemented
91#10623191C22132yescomplemented
92#10623166C22116yescomplemented
93D11×C22⋊Q8C22116yescomplemented
94#10623152C22132yescomplemented
95#10623142C22116yescomplemented
96#10623139C22116yescomplemented
97#10623139C22132yescomplemented
98#10623124C22132yescomplemented
99#10623122C22132yescomplemented
100#10623092C22116yescomplemented
101#10623082C22116yescomplemented
102#10623078C22116yescomplemented
103#10623074C22116yescomplemented
104C2×#66950C2212yescomplemented
105C2×#66950C2211yescharacteristic, complemented
106C2×#66949C2211yescharacteristic, complemented
107C2×#66949C2212yescomplemented
108C2×#66947C2211yescharacteristic, complemented
109C2×C4⋊C4×D11C2211yescharacteristic, complemented
110C2×C4⋊C4×D11C2212yescomplemented
111C2×C4⋊C4×D11C2211yescharacteristic, complemented
112C2×#66943C2212yescomplemented
113C2×#66942C2212yescomplemented
114C2×#66941C2211yescharacteristic, complemented
115C2×#66939C2212yescomplemented
116C2×#66938C2212yescomplemented
117C2×#66938C2212yescomplemented
118C2×#66938C2212yescomplemented
119#10623021C22132yescomplemented
120C2×#66937C2211yescharacteristic, complemented
121C2×#66937C2212yescomplemented
122C2×#66937C2212yescomplemented
123C2×#66936C2211yescharacteristic, complemented
124C2×#66936C2212yescomplemented
125C2×#66936C2212yescomplemented
126C2×#66936C2212yescomplemented
127C2×#66935C2211yescharacteristic
128C2×(C22⋊D11)⋊C4C2212yes—
129C2×(C22⋊D11)⋊C4C2212yescomplemented
130C2×C22⋊C4×D11C2212yes—
131#10623014C22132yescomplemented
132C2×#66932C2212yescomplemented
133C2×#66932C2212yescomplemented
134C2×#66931C2211yescharacteristic
135C2×#66931C2212yes—
136C2×#66931C2212yes—
137C2×#66931C2212yes—
138C2×#66931C2212yescomplemented
139C2×#66931C2212yescomplemented
140C2×#66931C2212yescomplemented
141C2×#66931C2212yescomplemented
142C2×#66931C2212yescomplemented
143C2×C4×D44C2211yescharacteristic, complemented
144C2×#66925C2211yescharacteristic, complemented
145C2×#66922C2211yescharacteristic, complemented
146C2×C4×Dic22C2211yescharacteristic, complemented
147C25×C11C2312yes—
148C24×D11C2311yescharacteristic
149C2×C11×#41—44no—
150C2×C11×#41C2318yescomplemented
151C22×Q8×C11C2311yescharacteristic
152C22×D4×C11—44no—
153C22×D4×C11C2311yescharacteristic
154C22×D4×C11C2311yescharacteristic
155C22×D4×C11C2311yescharacteristic
156C22×D4×C11C2312yes—
157C22×D4×C11C2312yes—
158C22×D4×C11C2312yes—
159C22×D4×C11C2318yes—
160C23×C4×C11C2311yescharacteristic
161C23×C4×C11C2311yescharacteristic
162C23×C4×C11C2312yes—
163C23×C4×C11C2312yes—
164C22×C22⋊D11—48no—
165C22×C22⋊D11C2311yescharacteristic
166C22×C22⋊D11C2312yes—
167C22×C22⋊D11C2312yes—
168C22×C22⋊D11C2311yescharacteristic
169C22×C22⋊D11C2312yes—
170C22×C22⋊D11C2311yescharacteristic
171C22×C22⋊D11C2312yes—
172C22×C22⋊D11C2312yes—
173C22×C22⋊D11C2311yescharacteristic
174C22×C22⋊D11C23116yes—
175C22×C22⋊D11C2312yes—
176C23×Dic11C2311yescharacteristic
177C23×Dic11C2312yes—
178C23×Dic11C2312yes—
179C23×Dic11C2312yes—
180C23×Dic11C2312yes—
181C2×Q8×D11—44no—
182C2×Q8×D11C2318yescomplemented
183C2×#4341—44no—
184C2×#4341—48no—
185C2×#4341C2318yescomplemented
186C2×#4341C23116yescomplemented
187C2×#4339—44no—
188C2×#4339—48no—
189C2×#4339C23116yescomplemented
190C2×#4339C2318yescomplemented
191C22×D44C2311yescharacteristic
192C22×D44C2311yescharacteristic
193C22×C4×D11—44no—
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2312yes—
198C22×C4×D11C2312yes—
199C22×C4×D11C2312yes—
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2318yes—
203C22×Dic22C2311yescharacteristic
204C22×Dic22C2312yes—
205C22×Dic22C2311yescharacteristic
206C22×Dic22C2312yes—
207C22×Dic22C2312yes—
208C11×#124C2318yescomplemented
209C11×#123C23116yescomplemented
210C11×C22⋊Q8C2318yes—
211C11×#121C2318yescomplemented
212C11×#121C23116yescomplemented
213C11×#120C23116yes—
214C4×D4×C11C2318yes—
215C4×D4×C11C2318yescomplemented
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2312yes—
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2312yes—
221C2×C11×C22⋊C4C2312yes—
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2312yes—
224C2×C11×C22⋊C4C2312yes—
225C2×C11×C22⋊C4C2312yes—
226C2×C11×C22⋊C4C23116yes—
227C2×C42×C11C2311yescharacteristic
228#67006C23116yes—
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2312yes—
231C2×C22⋊Dic11C2312yes—
232C2×C22⋊Dic11C2312yes—
233C2×C22⋊Dic11C2312yes—
234C2×C22⋊Dic11C2312yes—
235C2×C22⋊Dic11C2312yes—
236C2×C22⋊Dic11C2312yes—
237C2×C22⋊Dic11C23116yes—
238C2×C22⋊Dic11C23116yes—
239C2×C22⋊Dic11C2312yes—
240C2×C22⋊Dic11C2312yes—
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2312yes—
243#66999C2318yescomplemented
244#66999C2318yescomplemented
245Q8×Dic11C2318yescomplemented
246#66992C2318yes—
247#66992C23116yescomplemented
248#66992C23116yescomplemented
249#66992C23116yescomplemented
250#66992C23116yescomplemented
251#66991C2318yes—
252#66991C2318yes—
253#66991C23116yes—
254#66991C2318yes—
255#66991C2318yes—
256#66991C23116yes—
257#66991C2318yescomplemented
258#66991C23116yescomplemented
259#66991C23116yescomplemented
260#66990C2318yes—
261#66989C2318yescomplemented
262#66989C23116yescomplemented
263#66988C23116yescomplemented
264#66988C23116yescomplemented
265D4×Dic11C23116yes—
266D4×Dic11C2318yescomplemented
267#66983C23116yescomplemented
268#66982C23116yescomplemented
269C4×C22⋊D11C2318yes—
270C4×C22⋊D11C23116yescomplemented
271C4×C22⋊D11C2318yescomplemented
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2312yes—
277C2×(C2×D11)⋊C4C2312yes—
278C2×(C2×D11)⋊C4C2312yes—
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2312yes—
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2312yes—
287C2×C4⋊Dic11C2312yes—
288C2×C4⋊Dic11C2312yes—
289C2×C4⋊Dic11C2312yes—
290C2×C4⋊Dic11C2318yes—
291C2×C4⋊Dic11C2318yescomplemented
292#66977C2318yes—
293#66977C23116yescomplemented
294#66977C23116yescomplemented
295#66977C23116yescomplemented
296#66977C23116yescomplemented
297#66977C2318yescomplemented
298C2×Dic11⋊C4C2312yes—
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2312yes—
303C2×Dic11⋊C4C2312yes—
304C2×Dic11⋊C4C2312yes—
305C2×Dic11⋊C4C2312yes—
306C2×Dic11⋊C4C2312yes—
307C2×Dic11⋊C4C2312yes—
308C2×Dic11⋊C4C2312yes—
309C2×Dic11⋊C4C2311yescharacteristic
310C2×C4×Dic11C2312yes—
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2312yes—
313#66950C2318yescomplemented
314#66950C23116yescomplemented
315#66949C2318yescomplemented
316#66949C23116yescomplemented
317#66947C2318yescomplemented
318C4⋊C4×D11C2318yescomplemented
319C4⋊C4×D11C2318yescomplemented
320C4⋊C4×D11C23116yescomplemented
321#66943C23116yescomplemented
322#66942C23116yescomplemented
323#66941C2318yescomplemented
324#66939C23116yescomplemented
325#66938C23116yescomplemented
326#66938C23116yescomplemented
327#66938C23116yescomplemented
328#66937C23116yescomplemented
329#66937C23116yescomplemented
330#66937C2318yescomplemented
331#66936C23116yescomplemented
332#66936C2318yescomplemented
333#66936C23116yescomplemented
334#66936C23116yescomplemented
335#66935C2318yes—
336(C22⋊D11)⋊C4C23116yes—
337(C22⋊D11)⋊C4C23116yescomplemented
338C22⋊C4×D11C23116yes—
339#66932C23116yescomplemented
340#66932C23116yescomplemented
341#66931C2318yes—
342#66931C23116yes—
343#66931C23116yes—
344#66931C23116yes—
345#66931C23116yescomplemented
346#66931C23116yescomplemented
347#66931C23116yescomplemented
348#66931C23116yescomplemented
349#66931C23116yescomplemented
350C4×D44C2318yescomplemented
351#66925C2318yescomplemented
352#66922C2318yescomplemented
353C4×Dic22C2318yescomplemented
354C2×#3536—111nomaximal, Sylow
355C24×C11—28no—
356C24×C11—44no—
357C24×C11—44no—
358C24×C11C2412yes—
359C24×C11C2412yes—
360C24×C11C2411yescharacteristic
361C24×C11C2411yescharacteristic
362C24×C11C2418yes—
363C23×D11—24no—
364C23×D11—24no—
365C23×D11—42no—
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C23×D11C2414yes—
369C23×D11C2411yescharacteristic
370C11×#41—416no—
371C2×Q8×C11—24no—
372C2×Q8×C11C2414yes—
373C2×D4×C11—24no—
374C2×D4×C11—24no—
375C2×D4×C11—24no—
376C2×D4×C11—416no—
377C2×D4×C11—44no—
378C2×D4×C11—44no—
379C2×D4×C11—44no—
380C2×D4×C11C2414yes—
381C2×D4×C11C2414yes—
382C2×D4×C11C2414yes—
383C2×D4×C11C2418yes—
384C2×D4×C11C2418yes—
385C2×D4×C11C2418yes—
386C22×C4×C11—24no—
387C22×C4×C11—24no—
388C22×C4×C11—44no—
389C22×C4×C11—44no—
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2412yes—
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2412yes—
396C22×C4×C11C2414yes—
397C22×C4×C11C2414yes—
398C22×C4×C11C2418yes—
399C22×C4×C11C2418yes—
400C22×C4×C11C2411yescharacteristic
401C2×C22⋊D11—24no—
402C2×C22⋊D11—28no—
403C2×C22⋊D11—24no—
404C2×C22⋊D11—28no—
405C2×C22⋊D11—42no—
406C2×C22⋊D11—42no—
407C2×C22⋊D11—44no—
408C2×C22⋊D11—44no—
409C2×C22⋊D11—44no—
410C2×C22⋊D11—44no—
411C2×C22⋊D11—432no—
412C2×C22⋊D11C2414yes—
413C2×C22⋊D11C2418yes—
414C2×C22⋊D11C2418yes—
415C2×C22⋊D11C2414yes—
416C2×C22⋊D11C2418yes—
417C2×C22⋊D11C2414yes—
418C2×C22⋊D11C2418yes—
419C2×C22⋊D11C2418yes—
420C2×C22⋊D11C2414yes—
421C2×C22⋊D11C2418yes—
422C22×Dic11—42no—
423C22×Dic11—44no—
424C22×Dic11—44no—
425C22×Dic11—44no—
426C22×Dic11—44no—
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2412yes—
429C22×Dic11C2412yes—
430C22×Dic11C2412yes—
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2412yes—
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2414yes—
437C22×Dic11C2418yes—
438C22×Dic11C2418yes—
439C22×Dic11C2418yes—
440C22×Dic11C2418yes—
441Q8×D11—416no—
442#4341—416no—
443#4341—432no—
444#4339—416no—
445#4339—432no—
446C2×D44—24no—
447C2×D44—42no—
448C2×D44C2414yes—
449C2×D44C2414yes—
450C2×C4×D11—28no—
451C2×C4×D11—24no—
452C2×C4×D11—24no—
453C2×C4×D11—24no—
454C2×C4×D11—42no—
455C2×C4×D11—42no—
456C2×C4×D11—44no—
457C2×C4×D11—44no—
458C2×C4×D11—416no—
459C2×C4×D11C2414yes—
460C2×C4×D11C2414yes—
461C2×C4×D11C2414yes—
462C2×C4×D11C2418yes—
463C2×C4×D11C2418yes—
464C2×C4×D11C2418yes—
465C2×C4×D11C2414yes—
466C2×C4×D11C2414yes—
467C2×Dic22—24no—
468C2×Dic22—44no—
469C2×Dic22—42no—
470C2×Dic22—44no—
471C2×Dic22—44no—
472C2×Dic22C2414yes—
473C2×Dic22C2418yes—
474C2×Dic22C2414yes—
475C2×Dic22C2418yes—
476C2×Dic22C2418yes—
477C11×C4⋊C4C2414yes—
478C11×C4⋊C4C2418yes—
479C11×C4⋊C4C2414yes—
480C11×C22⋊C4C2414yes—
481C11×C22⋊C4C2418yes—
482C11×C22⋊C4C2418yes—
483C11×C22⋊C4C2414yes—
484C11×C22⋊C4C2418yes—
485C11×C22⋊C4C2418yes—
486C11×C22⋊C4C2418yes—
487C42×C11C2414yes—
488C22⋊Dic11C2414yes—
489C22⋊Dic11C2418yes—
490C22⋊Dic11C2418yes—
491C22⋊Dic11C2418yes—
492C22⋊Dic11C2418yes—
493C22⋊Dic11C2418yes—
494C22⋊Dic11C2418yes—
495C22⋊Dic11C2418yes—
496C22⋊Dic11C2418yes—
497C22⋊Dic11C2418yes—
498C22⋊Dic11C2414yes—
499C22⋊Dic11C2418yes—
500(C2×D11)⋊C4C2414yes—
501(C2×D11)⋊C4C2414yes—
502(C2×D11)⋊C4C2414yes—
503(C2×D11)⋊C4C2414yes—
504(C2×D11)⋊C4C2418yes—
505(C2×D11)⋊C4C2418yes—
506(C2×D11)⋊C4C2418yes—
507(C2×D11)⋊C4C2414yes—
508(C2×D11)⋊C4C2414yes—
509C4⋊Dic11C2414yes—
510C4⋊Dic11C2418yes—
511C4⋊Dic11C2414yes—
512C4⋊Dic11C2414yes—
513C4⋊Dic11C2414yes—
514C4⋊Dic11C2418yes—
515C4⋊Dic11C2418yes—
516C4⋊Dic11C2418yes—
517C4⋊Dic11C2418yes—
518Dic11⋊C4C2418yes—
519Dic11⋊C4C2414yes—
520Dic11⋊C4C2414yes—
521Dic11⋊C4C2414yes—
522Dic11⋊C4C2418yes—
523Dic11⋊C4C2418yes—
524Dic11⋊C4C2418yes—
525Dic11⋊C4C2418yes—
526Dic11⋊C4C2418yes—
527Dic11⋊C4C2418yes—
528Dic11⋊C4C2418yes—
529Dic11⋊C4C2414yes—
530C4×Dic11C2418yes—
531C4×Dic11C2414yes—
532C4×Dic11C2418yes—
533#3536—1132no—
534C2×#562—112no—
535C2×#562—112no—
536C2×#554—111no—
537C2×#554—111no—
538C2×#548—111no—
539C2×#548—111no—
540C2×#547—111no—
541C2×#547—111no—
542C2×#546—111no—
543C2×#546—112no—
544C2×#546—112no—
545C2×#546D1111yescharacteristic, complemented
546C2×#543—112no—
547C2×#542—111no—
548C2×#542—111no—
549C2×#539—112no—
550C2×#538—112no—
551C2×#537—111no—
552C2×#537—112no—
553C2×#537—111no—
554C2×#525—111no—
555C22×C22⋊Q8—111no—
556C22×#121—111no—
557C23×C11—22no—
558C23×C11—22no—
559C23×C11—22no—
560C23×C11—24no—
561C23×C11—24no—
562C23×C11—24no—
563C23×C11—22no—
564C23×C11—24no—
565C23×C11—22no—
566C23×C11—24no—
567C23×C11—24no—
568C23×C11—216no—
569C23×C11—48no—
570C23×C11—48no—
571C23×C11—816no—
572C23×C112−1+414yes—
573C23×C11C2514yes—
574C23×C11C2514yes—
575C23×C11C2512yes—
576C23×C11C2512yes—
577C23×C11C2511yescharacteristic
578C22×D11—22no—
579C22×D11—22no—
580C22×D11—22no—
581C22×D11—22no—
582C22×D11—22no—
583C22×D11—22no—
584C22×D11—22no—
585C22×D11—28no—
586C22×D11—22no—
587C22×D11—28no—
588C22×D11—44no—
589C22×D11—416no—
590C22×D11H(5,𝔽2)14yes—
591C22×D11C2512yes—
592C22×D11C2512yes—
593C22×D11C2512yes—
594Q8×C11—28no—
595D4×C11—28no—
596D4×C11—28no—
597D4×C11—28no—
598D4×C11—48no—
599D4×C11—48no—
600D4×C11—48no—
601C2×C4×C11—22no—
602C2×C4×C11—24no—
603C2×C4×C11—24no—
604C2×C4×C11—22no—
605C2×C4×C11—22no—
606C2×C4×C11—22no—
607C2×C4×C11—28no—
608C2×C4×C11—28no—
609C2×C4×C11—48no—
610C2×C4×C11—48no—
611C2×C4×C11H(5,𝔽2)14yes—
612C2×C4×C11C2512yes—
613C2×C4×C11C2514yes—
614C2×C4×C11C2512yes—
615C2×C4×C11C2512yes—
616C2×C4×C11C2512yes—
617C2×C4×C11C2514yes—
618C2×C4×C11C2512yes—
619C22⋊D11—28no—
620C22⋊D11—216no—
621C22⋊D11—28no—
622C22⋊D11—216no—
623C22⋊D11—44no—
624C22⋊D11—44no—
625C22⋊D11—48no—
626C22⋊D11—48no—
627C22⋊D11—48no—
628C22⋊D11—48no—
629C2×Dic11—24no—
630C2×Dic11—22no—
631C2×Dic11—22no—
632C2×Dic11—22no—
633C2×Dic11—22no—
634C2×Dic11—24no—
635C2×Dic11—24no—
636C2×Dic11—24no—
637C2×Dic11—22no—
638C2×Dic11—44no—
639C2×Dic11—48no—
640C2×Dic11—48no—
641C2×Dic11—48no—
642C2×Dic11—48no—
643C2×Dic11C2512yes—
644C2×Dic11C2514yes—
645C2×Dic11C2514yes—
646C2×Dic11C2514yes—
647C2×Dic11C2512yes—
648C2×Dic11C2512yes—
649C2×Dic11C2512yes—
650C2×Dic11C2514yes—
651C2×Dic11C2512yes—
652D44—28no—
653D44—44no—
654C4×D11—216no—
655C4×D11—28no—
656C4×D11—28no—
657C4×D11—28no—
658C4×D11—44no—
659C4×D11—44no—
660C4×D11—48no—
661C4×D11—48no—
662Dic22—28no—
663Dic22—44no—
664Dic22—48no—
665Dic22—48no—
666Dic22—48no—
667C22×#41—112no—
668C22×#41—111no—
669C22×#41—111no—
670C22×#41—112no—
671C22×#41C2×D1111yescharacteristic, complemented
672C23×Q8—111no—
673C23×D4—112no—
674C23×D4C2×D1111yescharacteristic
675C24×C4—111no—
676#562—1132no—
677#562—1132no—
678#554—1116no—
679#554—1116no—
680#548—1116no—
681#548—1116no—
682#547—1116no—
683#547—1116no—
684#546—1116no—
685#546—1132no—
686#546—1132no—
687#546C2×D11116yescomplemented
688#543—1132no—
689#542—1116no—
690#542—1116no—
691#539—1132no—
692#538—1132no—
693#537—1116no—
694#537—1132no—
695#537—1116no—
696C2×C4⋊Q8—111no—
697C2×C4⋊Q8—111no—
698C2×#126—112no—
699C2×#126—112no—
700C2×#125—112no—
701C2×#125—112no—
702C2×#124—112no—
703C2×#124—111no—
704C2×#124—112no—
705C2×#124—112no—
706C2×#124—112no—
707C2×#124C2×D1111yescharacteristic, complemented
708#525—1116no—
709C2×#123—112no—
710C2×#123—112no—
711C2×#123—112no—
712C2×#123—111no—
713C2×#123—111no—
714C2×#123—112no—
715C2×#123—112no—
716C2×#123—112no—
717C2×#123—112no—
718C2×#123C2×D1112yescomplemented
719C2×C22⋊Q8—111no—
720C2×C22⋊Q8—111no—
721C2×C22⋊Q8—111no—
722C2×C22⋊Q8—112no—
723C2×C22⋊Q8—112no—
724C2×C22⋊Q8—111no—
725C2×C22⋊Q8—112no—
726C2×C22⋊Q8—112no—
727C2×C22⋊Q8—1116no—
728C2×C22⋊Q8—112no—
729C2×C22⋊Q8—111no—
730C2×C22⋊Q8—111no—
731C2×C22⋊Q8—112no—
732C2×C22⋊Q8—112no—
733C2×C22⋊Q8—111no—
734C2×C22⋊Q8—112no—
735C2×C22⋊Q8—112no—
736C2×C22⋊Q8—112no—
737C2×C22⋊Q8—112no—
738C2×C22⋊Q8—112no—
739C2×C22⋊Q8—112no—
740C2×C22⋊Q8—112no—
741C2×C22⋊Q8C2×D1111yescharacteristic
742C2×#121—112no—
743C2×#121—111no—
744C2×#121—111no—
745C2×#121—111no—
746C2×#121—111no—
747C2×#121—112no—
748C2×#121—1116no—
749C2×#121—112no—
750C2×#121—111no—
751C2×#121—112no—
752C2×#121—111no—
753C2×#121—112no—
754C2×#121—112no—
755C2×#121—112no—
756C2×#121—112no—
757C2×#121—112no—
758C2×#121—111no—
759C2×#121—112no—
760C2×#121—112no—
761C2×#121C2×D1111yescharacteristic, complemented
762C2×#121C2×D1112yescomplemented
763C2×#120—112no—
764C2×#120—111no—
765C2×#120—111no—
766C2×#120C2×D1112yes—
767C2×C4×Q8—111no—
768C2×C4×Q8—111no—
769C2×C4×D4—112no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4—112no—
774C2×C4×D4—112no—
775C2×C4×D4—112no—
776C2×C4×D4—111no—
777C2×C4×D4C2×D1111yescharacteristic
778C2×C4×D4C2×D1111yescharacteristic, complemented
779C2×#117—111no—
780C22×C4⋊C4—111no—
781C22×C4⋊C4—111no—
782C22×C4⋊C4—112no—
783C22×C4⋊C4—111no—
784C22×C4⋊C4—111no—
785C22×C22⋊C4—112no—
786C22×C22⋊C4—112no—
787C22×C22⋊C4—112no—
788C22×C22⋊C4C2×D1112yes—
789C22×C11—22no—
790C22×C11—22no—
791C22×C11—28no—
792C22×C11—22no—
793C22×C11—24no—
794C22×C11—24no—
795C22×C11—24no—
796C22×C11—22no—
797C22×C11—24no—
798C22×C11—22no—
799C22×C11—24no—
800C22×C11—24no—
801C22×C11—44no—
802C22×C11—48no—
803C22×C11—48no—
804C22×C11—816no—
805C22×C11C2×H(5,𝔽2)12yes—
806C22×C11C2×H(5,𝔽2)12yes—
807C22×C11C2×2−1+414yes—
808C22×C11C2×2−1+412yes—
809C22×C11C2611yescharacteristic
810C2×D11—22no—
811C2×D11—22no—
812C2×D11—28no—
813C2×D11—22no—
814C2×D11—22no—
815C2×D11—22no—
816C2×D11—22no—
817C2×D11—22no—
818C2×D11—22no—
819C2×D11—416no—
820C2×D11—44no—
821C2×D11—44no—
822C2×D11C2×H(5,𝔽2)14yes—
823C4×C11—22no—
824C4×C11—22no—
825C4×C11—22no—
826C4×C11—24no—
827C4×C11—24no—
828C4×C11—22no—
829C4×C11C2×H(5,𝔽2)14yes—
830Dic11—24no—
831Dic11—22no—
832Dic11—22no—
833Dic11—22no—
834Dic11—24no—
835Dic11—22no—
836Dic11—24no—
837Dic11—24no—
838Dic11—22no—
839C25—111no—
840C25C22×D1112yes—
841C2×#41—44no—
842C2×#41—1116no—
843C2×#41—118no—
844C2×#41—118no—
845C2×#41—1116no—
846C2×#41—444no—
847C2×#41—448no—
848C2×#41—444no—
849C2×#41—448no—
850C2×#41C22×D1118yescomplemented
851C22×Q8—118no—
852C22×Q8—111no—
853C22×Q8—111no—
854C22×Q8—112no—
855C22×Q8—112no—
856C22×Q8—112no—
857C22×Q8—444no—
858C22×Q8C22×D1111yescharacteristic
859C22×D4—44no—
860C22×D4—111no—
861C22×D4—111no—
862C22×D4—112no—
863C22×D4—112no—
864C22×D4—111no—
865C22×D4—112no—
866C22×D4—112no—
867C22×D4—111no—
868C22×D4—112no—
869C22×D4—112no—
870C22×D4—1116no—
871C22×D4—111no—
872C22×D4—111no—
873C22×D4—448no—
874C22×D4C22×D1111yescharacteristic
875C22×D4C22×D1111yescharacteristic
876C22×D4C22×D1111yescharacteristic
877C22×D4C22×D1112yes—
878C22×D4C22×D1112yes—
879C22×D4C22×D1112yes—
880C22×D4C22×D1118yes—
881C23×C4—111no—
882C23×C4—112no—
883C23×C4—112no—
884C23×C4—112no—
885C23×C4—112no—
886C23×C4—112no—
887C23×C4—111no—
888C23×C4—111no—
889C23×C4—111no—
890C23×C4—112no—
891C23×C4—111no—
892C23×C4—112no—
893C23×C4—111no—
894C23×C4—118no—
895C23×C4—444no—
896C23×C4C22×D1111yescharacteristic
897C23×C4C22×D1111yescharacteristic
898C23×C4C22×D1112yes—
899C23×C4C22×D1112yes—
900C4⋊Q8—118no—
901C4⋊Q8—118no—
902#126—1116no—
903#126—1116no—
904#125—1116no—
905#125—1116no—
906#124—1116no—
907#124—118no—
908#124—1116no—
909#124—1116no—
910#124—1116no—
911#124C22×D1118yescomplemented
912#123—1116no—
913#123—1116no—
914#123—1116no—
915#123—118no—
916#123—118no—
917#123—1116no—
918#123—1116no—
919#123—1116no—
920#123—1116no—
921#123C22×D11116yescomplemented
922C22⋊Q8—118no—
923C22⋊Q8—118no—
924C22⋊Q8—118no—
925C22⋊Q8—1116no—
926C22⋊Q8—1116no—
927C22⋊Q8—118no—
928C22⋊Q8—1116no—
929C22⋊Q8—1116no—
930C22⋊Q8—118no—
931C22⋊Q8—1116no—
932C22⋊Q8—118no—
933C22⋊Q8—1116no—
934C22⋊Q8—1116no—
935C22⋊Q8—118no—
936C22⋊Q8—1116no—
937C22⋊Q8—1116no—
938C22⋊Q8—1116no—
939C22⋊Q8—1116no—
940C22⋊Q8—1116no—
941C22⋊Q8—1116no—
942C22⋊Q8—1116no—
943C22⋊Q8C22×D1118yes—
944#121—1116no—
945#121—118no—
946#121—118no—
947#121—118no—
948#121—118no—
949#121—1116no—
950#121—118no—
951#121—1116no—
952#121—1116no—
953#121—118no—
954#121—1116no—
955#121—1116no—
956#121—1116no—
957#121—1116no—
958#121—1116no—
959#121—118no—
960#121—1116no—
961#121—1116no—
962#121C22×D1118yescomplemented
963#121C22×D11116yescomplemented
964#120—1116no—
965#120—118no—
966#120—118no—
967#120C22×D11116yes—
968C4×Q8—118no—
969C4×Q8—118no—
970C4×D4—1116no—
971C4×D4—118no—
972C4×D4—118no—
973C4×D4—118no—
974C4×D4—1116no—
975C4×D4—1116no—
976C4×D4—1116no—
977C4×D4—118no—
978C4×D4C22×D1118yes—
979C4×D4C22×D1118yescomplemented
980#117—118no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—112no—
985C2×C4⋊C4—118no—
986C2×C4⋊C4—112no—
987C2×C4⋊C4—112no—
988C2×C4⋊C4—112no—
989C2×C4⋊C4—112no—
990C2×C4⋊C4—112no—
991C2×C4⋊C4—112no—
992C2×C4⋊C4—118no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—112no—
996C2×C4⋊C4—112no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—112no—
1001C2×C4⋊C4—112no—
1002C2×C4⋊C4—112no—
1003C2×C4⋊C4—112no—
1004C2×C4⋊C4—1116no—
1005C2×C4⋊C4—118no—
1006C2×C4⋊C4—118no—
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1112yes—
1009C2×C4⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—112no—
1012C2×C22⋊C4—112no—
1013C2×C22⋊C4—112no—
1014C2×C22⋊C4—112no—
1015C2×C22⋊C4—112no—
1016C2×C22⋊C4—112no—
1017C2×C22⋊C4—112no—
1018C2×C22⋊C4—1116no—
1019C2×C22⋊C4—1116no—
1020C2×C22⋊C4—112no—
1021C2×C22⋊C4—112no—
1022C2×C22⋊C4—112no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—112no—
1025C2×C22⋊C4—112no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—112no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—1116no—
1034C2×C22⋊C4C22×D1112yes—
1035C2×C22⋊C4C22×D1111yescharacteristic
1036C2×C22⋊C4C22×D1112yes—
1037C2×C22⋊C4C22×D1112yes—
1038C2×C22⋊C4C22×D11116yes—
1039C2×C22⋊C4C22×D1112yes—
1040C2×C22⋊C4C22×D1111yescharacteristic
1041C2×C22⋊C4C22×D1112yes—
1042C2×C42—111no—
1043C2×C42—112no—
1044C2×C42—112no—
1045C2×C42C22×D1111yescharacteristic
1046C2×C11—24no—
1047C2×C11—42no—
1048C2×C11—44no—
1049C2×C11—44no—
1050C2×C11#353614yescomplemented
1051C2×C11C22×H(5,𝔽2)11yescharacteristic
1052C2×C11C22×H(5,𝔽2)11yescharacteristic
1053C2×C11C22×2−1+411yescharacteristic
1054D11—24no—
1055D11—42no—
1056D11—42no—
1057C24—28no—
1058C24—44no—
1059C24—44no—
1060C24—111no—
1061C24—111no—
1062C24—111no—
1063C24—114no—
1064C24—224no—
1065C24—224no—
1066C24—442no—
1067C24C23×D1112yes—
1068C24C23×D1112yes—
1069C24C23×D1111yescharacteristic
1070C24C23×D1111yescharacteristic
1071C24C23×D1118yes—
1072#41—416no—
1073#41—4416no—
1074#41—4432no—
1075#41—4416no—
1076#41—4432no—
1077C2×Q8—24no—
1078C2×Q8—114no—
1079C2×Q8—114no—
1080C2×Q8—118no—
1081C2×Q8—118no—
1082C2×Q8—118no—
1083C2×Q8—224no—
1084C2×Q8—444no—
1085C2×Q8—442no—
1086C2×Q8—444no—
1087C2×Q8—444no—
1088C2×Q8—4416no—
1089C2×Q8C23×D1114yes—
1090C2×D4—24no—
1091C2×D4—24no—
1092C2×D4—24no—
1093C2×D4—416no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—114no—
1098C2×D4—114no—
1099C2×D4—118no—
1100C2×D4—118no—
1101C2×D4—114no—
1102C2×D4—118no—
1103C2×D4—118no—
1104C2×D4—114no—
1105C2×D4—118no—
1106C2×D4—118no—
1107C2×D4—114no—
1108C2×D4—114no—
1109C2×D4—224no—
1110C2×D4—228no—
1111C2×D4—228no—
1112C2×D4—224no—
1113C2×D4—224no—
1114C2×D4—442no—
1115C2×D4—444no—
1116C2×D4—444no—
1117C2×D4—442no—
1118C2×D4—442no—
1119C2×D4—444no—
1120C2×D4—444no—
1121C2×D4—4432no—
1122C2×D4C23×D1114yes—
1123C2×D4C23×D1114yes—
1124C2×D4C23×D1114yes—
1125C2×D4C23×D1118yes—
1126C2×D4C23×D1118yes—
1127C2×D4C23×D1118yes—
1128C22×C4—24no—
1129C22×C4—24no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—111no—
1133C22×C4—112no—
1134C22×C4—111no—
1135C22×C4—112no—
1136C22×C4—112no—
1137C22×C4—111no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—112no—
1141C22×C4—114no—
1142C22×C4—118no—
1143C22×C4—118no—
1144C22×C4—118no—
1145C22×C4—118no—
1146C22×C4—118no—
1147C22×C4—114no—
1148C22×C4—114no—
1149C22×C4—114no—
1150C22×C4—118no—
1151C22×C4—114no—
1152C22×C4—118no—
1153C22×C4—114no—
1154C22×C4—228no—
1155C22×C4—224no—
1156C22×C4—224no—
1157C22×C4—224no—
1158C22×C4—4416no—
1159C22×C4—442no—
1160C22×C4—442no—
1161C22×C4—444no—
1162C22×C4—444no—
1163C22×C4—442no—
1164C22×C4—444no—
1165C22×C4—444no—
1166C22×C4—444no—
1167C22×C4—444no—
1168C22×C4C23×D1114yes—
1169C22×C4C23×D1114yes—
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1112yes—
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1112yes—
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1118yes—
1177C22×C4C23×D1118yes—
1178C22×C4C23×D1111yescharacteristic
1179C4⋊C4—114no—
1180C4⋊C4—114no—
1181C4⋊C4—114no—
1182C4⋊C4—118no—
1183C4⋊C4—118no—
1184C4⋊C4—118no—
1185C4⋊C4—118no—
1186C4⋊C4—118no—
1187C4⋊C4—118no—
1188C4⋊C4—118no—
1189C4⋊C4—114no—
1190C4⋊C4—114no—
1191C4⋊C4—118no—
1192C4⋊C4—118no—
1193C4⋊C4—114no—
1194C4⋊C4—114no—
1195C4⋊C4—114no—
1196C4⋊C4—118no—
1197C4⋊C4—118no—
1198C4⋊C4—118no—
1199C4⋊C4—118no—
1200C4⋊C4C23×D1114yes—
1201C4⋊C4C23×D1118yes—
1202C4⋊C4C23×D1114yes—
1203C22⋊C4—114no—
1204C22⋊C4—118no—
1205C22⋊C4—118no—
1206C22⋊C4—118no—
1207C22⋊C4—118no—
1208C22⋊C4—118no—
1209C22⋊C4—118no—
1210C22⋊C4—118no—
1211C22⋊C4—118no—
1212C22⋊C4—118no—
1213C22⋊C4—118no—
1214C22⋊C4—114no—
1215C22⋊C4—118no—
1216C22⋊C4—118no—
1217C22⋊C4—114no—
1218C22⋊C4—114no—
1219C22⋊C4—114no—
1220C22⋊C4—114no—
1221C22⋊C4—114no—
1222C22⋊C4—118no—
1223C22⋊C4—114no—
1224C22⋊C4C23×D1118yes—
1225C22⋊C4C23×D1114yes—
1226C22⋊C4C23×D1118yes—
1227C22⋊C4C23×D1118yes—
1228C22⋊C4C23×D1118yes—
1229C22⋊C4C23×D1114yes—
1230C22⋊C4C23×D1118yes—
1231C42—114no—
1232C42—118no—
1233C42—118no—
1234C42C23×D1114yes—
1235C11C2×#353611yescharacteristic, complemented, Sylow
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—24no—
1240C23—24no—
1241C23—22no—
1242C23—24no—
1243C23—24no—
1244C23—24no—
1245C23—22no—
1246C23—24no—
1247C23—216no—
1248C23—48no—
1249C23—48no—
1250C23—816no—
1251C23—114no—
1252C23—112no—
1253C23—112no—
1254C23—112no—
1255C23—228no—
1256C23—222no—
1257C23—222no—
1258C23—222no—
1259C23—222no—
1260C23—222no—
1261C23—228no—
1262C23—222no—
1263C23—222no—
1264C23—222no—
1265C23—444no—
1266C23—4416no—
1267C23#6704314yes—
1268C23C24×D1114yes—
1269C23C24×D1114yes—
1270C23C24×D1112yes—
1271C23C24×D1112yes—
1272C23C24×D1111yescharacteristic
1273Q8—28no—
1274Q8—228no—
1275Q8—448no—
1276Q8—448no—
1277Q8—448no—
1278Q8—444no—
1279D4—28no—
1280D4—28no—
1281D4—28no—
1282D4—48no—
1283D4—48no—
1284D4—48no—
1285D4—228no—
1286D4—2216no—
1287D4—2216no—
1288D4—228no—
1289D4—228no—
1290D4—444no—
1291D4—448no—
1292D4—448no—
1293D4—448no—
1294D4—444no—
1295D4—444no—
1296D4—448no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—24no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—24no—
1303C2×C4—28no—
1304C2×C4—28no—
1305C2×C4—48no—
1306C2×C4—48no—
1307C2×C4—112no—
1308C2×C4—112no—
1309C2×C4—114no—
1310C2×C4—114no—
1311C2×C4—114no—
1312C2×C4—112no—
1313C2×C4—114no—
1314C2×C4—112no—
1315C2×C4—112no—
1316C2×C4—2216no—
1317C2×C4—222no—
1318C2×C4—222no—
1319C2×C4—222no—
1320C2×C4—224no—
1321C2×C4—222no—
1322C2×C4—224no—
1323C2×C4—224no—
1324C2×C4—224no—
1325C2×C4—222no—
1326C2×C4—228no—
1327C2×C4—228no—
1328C2×C4—228no—
1329C2×C4—444no—
1330C2×C4—444no—
1331C2×C4—448no—
1332C2×C4—448no—
1333C2×C4—444no—
1334C2×C4—448no—
1335C2×C4—448no—
1336C2×C4—448no—
1337C2×C4—448no—
1338C2×C4#6703714yes—
1339C2×C4C24×D1112yes—
1340C2×C4C24×D1114yes—
1341C2×C4C24×D1112yes—
1342C2×C4C24×D1112yes—
1343C2×C4C24×D1114yes—
1344C2×C4C24×D1112yes—
1345C2×C4C24×D1112yes—
1346C22—22no—
1347C22—22no—
1348C22—28no—
1349C22—24no—
1350C22—22no—
1351C22—24no—
1352C22—22no—
1353C22—24no—
1354C22—24no—
1355C22—22no—
1356C22—24no—
1357C22—24no—
1358C22—48no—
1359C22—48no—
1360C22—44no—
1361C22—816no—
1362C22—114no—
1363C22—222no—
1364C22—222no—
1365C22—228no—
1366C22—222no—
1367C22—222no—
1368C22—222no—
1369C22—222no—
1370C22—222no—
1371C22—222no—
1372C22—4416no—
1373C22—444no—
1374C22—444no—
1375C22C2×#6703712yes—
1376C22C2×#6704314yes—
1377C22C2×#6704312yes—
1378C22D11×H(5,𝔽2)12yes—
1379C22C25×D1111yescharacteristic
1380C4—22no—
1381C4—24no—
1382C4—22no—
1383C4—22no—
1384C4—24no—
1385C4—22no—
1386C4—224no—
1387C4—224no—
1388C4—224no—
1389C4—222no—
1390C4—222no—
1391C4—222no—
1392C4—222no—
1393C4—224no—
1394C4—222no—
1395C4C2×#6703714yes—
1396C2—24no—
1397C2—44no—
1398C2—44no—
1399C2—42no—
1400C2—224no—
1401C2—442no—
1402C2—442no—
1403C2#1308283614yesdirect product factor
1404C2C2×D11×H(5,𝔽2)11yescharacteristic
1405C2C22×#6703711yescharacteristic
1406C2C22×#6704311yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#546C2
socleC23×C11C25
hypercenterC2×#546D11
hypocenterC11C2×#3536
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #13082836C2direct (N × H)
2. C2×#10623198C2semidirect
3. C2×#10623152C2semidirect
4. C2×#10623166C2semidirect
5. C2×#10623074C2semidirect
6. C2×#10623208C2semidirect
7. C2×#10623362C2semidirect
8. C2×#10623082C2semidirect
9. C2×#10623142C2semidirect
10. C2×#10623337C2semidirect
11. C2×#10623021C2semidirect
12. C2×#10623122C2semidirect
13. C2×#10623014C2semidirect
14. C2×#10623213C2semidirect
15. C2×#10623092C2semidirect
16. C2×#10623191C2semidirect
17. C2×#10623124C2semidirect
18. C2×#10623139C2semidirect
19. C2×#10623139C2semidirect
20. C2×#10623364C2semidirect
21. C2×#10623078C2semidirect
22. C2×D11×C22⋊Q8C2semidirect
23. C22×#66991C2semidirect
24. C2×C11×#546C2semidirect
25. C22×C11×#41C22semidirect
28. C22×Q8×D11C22semidirect
29. C22×#4341C22semidirect
30. C22×#4341C22semidirect
31. C22×#4339C22semidirect
32. C22×#4339C22semidirect
34. C11×#546C22semidirect
35. C2×C11×#124C22semidirect
36. C2×C11×#123C22semidirect
38. C2×C11×#121C22semidirect
39. C2×C11×#121C22semidirect
42. C2×C4×D4×C11C22semidirect
47. #10623364C22semidirect
48. #10623362C22semidirect
49. C2×#66999C22semidirect
50. C2×#66999C22semidirect
51. C2×Q8×Dic11C22semidirect
52. #10623337C22semidirect
54. C2×#66992C22semidirect
55. C2×#66992C22semidirect
56. C2×#66992C22semidirect
57. C2×#66992C22semidirect
64. C2×#66991C22semidirect
65. C2×#66991C22semidirect
66. C2×#66991C22semidirect
67. C2×#66991C22semidirect
69. C2×#66989C22semidirect
70. C2×#66989C22semidirect
71. C2×#66988C22semidirect
72. C2×#66988C22semidirect
74. C2×D4×Dic11C22semidirect
75. C2×#66983C22semidirect
76. C2×#66982C22semidirect
78. C2×C4×C22⋊D11C22semidirect
79. C2×C4×C22⋊D11C22semidirect
81. C22×C4⋊Dic11C22semidirect
83. C2×#66977C22semidirect
84. C2×#66977C22semidirect
85. C2×#66977C22semidirect
86. C2×#66977C22semidirect
87. C2×#66977C22semidirect
88. #10623213C22semidirect
89. #10623208C22semidirect
90. #10623198C22semidirect
91. #10623191C22semidirect
92. #10623166C22semidirect
93. D11×C22⋊Q8C22semidirect
94. #10623152C22semidirect
95. #10623142C22semidirect
96. #10623139C22semidirect
97. #10623139C22semidirect
98. #10623124C22semidirect
99. #10623122C22semidirect
100. #10623092C22semidirect
101. #10623082C22semidirect
102. #10623078C22semidirect
103. #10623074C22semidirect
104. C2×#66950C22semidirect
105. C2×#66950C22semidirect
106. C2×#66949C22semidirect
107. C2×#66949C22semidirect
108. C2×#66947C22semidirect
109. C2×C4⋊C4×D11C22semidirect
110. C2×C4⋊C4×D11C22semidirect
111. C2×C4⋊C4×D11C22semidirect
112. C2×#66943C22semidirect
113. C2×#66942C22semidirect
114. C2×#66941C22semidirect
115. C2×#66939C22semidirect
116. C2×#66938C22semidirect
117. C2×#66938C22semidirect
118. C2×#66938C22semidirect
119. #10623021C22semidirect
120. C2×#66937C22semidirect
121. C2×#66937C22semidirect
122. C2×#66937C22semidirect
123. C2×#66936C22semidirect
124. C2×#66936C22semidirect
125. C2×#66936C22semidirect
126. C2×#66936C22semidirect
129. C2×(C22⋊D11)⋊C4C22semidirect
131. #10623014C22semidirect
132. C2×#66932C22semidirect
133. C2×#66932C22semidirect
138. C2×#66931C22semidirect
139. C2×#66931C22semidirect
140. C2×#66931C22semidirect
141. C2×#66931C22semidirect
142. C2×#66931C22semidirect
143. C2×C4×D44C22semidirect
144. C2×#66925C22semidirect
145. C2×#66922C22semidirect
146. C2×C4×Dic22C22semidirect
150. C2×C11×#41C23semidirect
182. C2×Q8×D11C23semidirect
185. C2×#4341C23semidirect
186. C2×#4341C23semidirect
189. C2×#4339C23semidirect
190. C2×#4339C23semidirect
208. C11×#124C23semidirect
209. C11×#123C23semidirect
211. C11×#121C23semidirect
212. C11×#121C23semidirect
215. C4×D4×C11C23semidirect
243. #66999C23semidirect
244. #66999C23semidirect
245. Q8×Dic11C23semidirect
247. #66992C23semidirect
248. #66992C23semidirect
249. #66992C23semidirect
250. #66992C23semidirect
257. #66991C23semidirect
258. #66991C23semidirect
259. #66991C23semidirect
261. #66989C23semidirect
262. #66989C23semidirect
263. #66988C23semidirect
264. #66988C23semidirect
266. D4×Dic11C23semidirect
267. #66983C23semidirect
268. #66982C23semidirect
270. C4×C22⋊D11C23semidirect
271. C4×C22⋊D11C23semidirect
291. C2×C4⋊Dic11C23semidirect
293. #66977C23semidirect
294. #66977C23semidirect
295. #66977C23semidirect
296. #66977C23semidirect
297. #66977C23semidirect
313. #66950C23semidirect
314. #66950C23semidirect
315. #66949C23semidirect
316. #66949C23semidirect
317. #66947C23semidirect
318. C4⋊C4×D11C23semidirect
319. C4⋊C4×D11C23semidirect
320. C4⋊C4×D11C23semidirect
321. #66943C23semidirect
322. #66942C23semidirect
323. #66941C23semidirect
324. #66939C23semidirect
325. #66938C23semidirect
326. #66938C23semidirect
327. #66938C23semidirect
328. #66937C23semidirect
329. #66937C23semidirect
330. #66937C23semidirect
331. #66936C23semidirect
332. #66936C23semidirect
333. #66936C23semidirect
334. #66936C23semidirect
337. (C22⋊D11)⋊C4C23semidirect
339. #66932C23semidirect
340. #66932C23semidirect
345. #66931C23semidirect
346. #66931C23semidirect
347. #66931C23semidirect
348. #66931C23semidirect
349. #66931C23semidirect
350. C4×D44C23semidirect
351. #66925C23semidirect
352. #66922C23semidirect
353. C4×Dic22C23semidirect
545. C2×#546D11semidirect
671. C22×#41C2×D11semidirect
687. #546C2×D11semidirect
707. C2×#124C2×D11semidirect
718. C2×#123C2×D11semidirect
761. C2×#121C2×D11semidirect
762. C2×#121C2×D11semidirect
778. C2×C4×D4C2×D11semidirect
850. C2×#41C22×D11semidirect
911. #124C22×D11semidirect
921. #123C22×D11semidirect
962. #121C22×D11semidirect
963. #121C22×D11semidirect
979. C4×D4C22×D11semidirect
1050. C2×C11#3536semidirect
1235. C11C2×#3536semidirect
1403. C2#13082836direct (N × H)

Maximal subgroups

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

subgroupindex
#130828362
C2×#106231982
C2×#106231522
C2×#106231662
C2×#106230742
C2×#106232082
C2×#106233622
C2×#106230822
C2×#106231422
C2×#106233372
C2×#106230212
C2×#106231222
C2×#106230142
C2×#106232132
C2×#106230922
C2×#106231912
C2×#106231242
C2×#106231392
C2×#106233642
C2×#106230782
C2×D11×C22⋊Q82
C22×#669912
C2×C11×#5462
C2×#353611