Finite Group Databasebeta

← C2×#13082834 #15660991

Subgroups — C2×#13082834 #15660991

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#13082834C2132yesmaximal, direct product factor
2C2×#10623152C212yesmaximal, complemented
3C2×#10623152C212yesmaximal, complemented
4C2×#10623166C211yesmaximal, characteristic, complemented
5C2×#10623042C211yesmaximal, characteristic, complemented
6C2×#10623164C211yesmaximal, characteristic, complemented
7C2×#10623362C211yesmaximal, characteristic, complemented
8C2×#10623038C211yesmaximal, characteristic, complemented
9C2×#10623142C211yesmaximal, characteristic, complemented
10C2×#10623143C211yesmaximal, characteristic, complemented
11C2×#10623143C212yesmaximal, complemented
12C2×#10623141C212yesmaximal, complemented
13C2×#10623360C211yesmaximal, characteristic, complemented
14C2×#10623165C212yesmaximal, complemented
15C2×#10623174C211yesmaximal, characteristic, complemented
16C2×#10623134C211yesmaximal, characteristic, complemented
17C2×#10623169C212yesmaximal, complemented
18C2×#10623144C212yesmaximal, complemented
19C2×#10623139C212yesmaximal, complemented
20C2×#10623364C211yesmaximal, characteristic, complemented
21C2×#10623359C211yesmaximal, characteristic, complemented
22C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
23C2×D11×#121C211yesmaximal, characteristic, complemented
24C2×C11×#537C211yesmaximal, characteristic, complemented
25C22×C11×#41C2211yescharacteristic, complemented
26C22×C11×#41C2211yescharacteristic, complemented
27C22×Q8×D11C2211yescharacteristic, complemented
28C22×#4341C2212yescomplemented
29C22×D4×D11C2211yescharacteristic
30C22×D4×D11C2212yes—
31C22×#4339C2211yescharacteristic, complemented
32C22×#4339C2212yescomplemented
33C23×C4×D11C2211yescharacteristic
34C11×#537C22116yescomplemented
35C2×C11×C22⋊Q8C2211yescharacteristic, complemented
36C2×C11×C22⋊Q8C2212yescomplemented
37C2×C11×C22⋊Q8C2211yescharacteristic, complemented
38C2×C11×#121C2211yescharacteristic
39C2×C11×#121C2212yescomplemented
40C2×C11×#121C2212yescomplemented
41C2×C11×#121C2212yescomplemented
42C2×C11×#121C2211yescharacteristic, complemented
43C22×C11×C4⋊C4C2211yescharacteristic, complemented
44#10623364C22116yescomplemented
45#10623362C22116yescomplemented
46#10623360C22116yescomplemented
47#10623359C22116yescomplemented
48C2×#67000C2211yescharacteristic, complemented
49C2×#66999C2211yescharacteristic
50C2×#66999C2211yescharacteristic
51C2×#66999C2212yescomplemented
52C2×#66999C2211yescharacteristic, complemented
53C2×Q8×Dic11C2211yescharacteristic, complemented
54C2×#66992C2212yes—
55C2×#66992C2212yescomplemented
56C2×#66992C2212yescomplemented
57C2×#66992C2212yescomplemented
58C2×#66991C2211yescharacteristic
59C2×#66991C2211yescharacteristic
60C2×#66991C2212yescomplemented
61C2×#66991C2211yescharacteristic, complemented
62C2×#66991C2212yescomplemented
63C2×#66991C2212yescomplemented
64C2×#66990C2212yes—
65C2×#66990C2212yes—
66C2×#66990C2211yescharacteristic
67C2×#66990C2211yescharacteristic
68C2×#66989C2212yescomplemented
69C2×#66989C2212yescomplemented
70C2×#66989C2211yescharacteristic, complemented
71C2×#66988C2212yescomplemented
72C2×#66988C2211yescharacteristic, complemented
73C2×#66988C2211yescharacteristic, complemented
74C2×#66988C2212yescomplemented
75C2×D4×Dic11C2211yescharacteristic, complemented
76C2×#66983C2211yescharacteristic
77C2×#66983C2211yescharacteristic, complemented
78C2×#66982C2212yescomplemented
79C2×#66982C2212yescomplemented
80C2×C4×C22⋊D11C2212yes—
81C2×C4×C22⋊D11C2211yescharacteristic
82C2×C4×C22⋊D11C2211yescharacteristic
83C2×C4×C22⋊D11C2212yescomplemented
84C2×C4×C22⋊D11C2211yescharacteristic, complemented
85C2×C4×C22⋊D11C2211yescharacteristic, complemented
86C22×(C2×D11)⋊C4C2212yes—
87C2×#66979C2211yescharacteristic, complemented
88C22×C4⋊Dic11C2211yescharacteristic, complemented
89C2×#66977C2211yescharacteristic, complemented
90C2×#66977C2212yescomplemented
91C2×#66977C2211yescharacteristic, complemented
92C2×#66977C2212yescomplemented
93#10623174C22116yescomplemented
94#10623169C22132yescomplemented
95#10623166C22116yescomplemented
96#10623165C22132yescomplemented
97#10623164C22116yescomplemented
98D11×C22⋊Q8C22116yescomplemented
99#10623152C22132yescomplemented
100#10623152C22132yescomplemented
101#10623144C22132yescomplemented
102#10623143C22132yescomplemented
103#10623143C22116yescomplemented
104#10623142C22116yescomplemented
105#10623141C22132yescomplemented
106#10623139C22132yescomplemented
107D11×#121C22116yescomplemented
108#10623134C22116yescomplemented
109C2×#66951C2212yescomplemented
110#10623042C22116yescomplemented
111C2×#66950C2211yescharacteristic
112C2×#66950C2212yes—
113C2×#66950C2212yescomplemented
114C2×#66949C2212yes—
115C2×#66949C2212yes—
116C2×#66949C2212yescomplemented
117C2×#66949C2212yescomplemented
118#10623038C22116yescomplemented
119C2×#66948C2211yescharacteristic
120C2×#66947C2212yescomplemented
121C2×#66946C2212yescomplemented
122C2×#66946C2211yescharacteristic, complemented
123C2×C4⋊C4×D11C2211yescharacteristic
124C2×C4⋊C4×D11C2212yescomplemented
125C2×C4⋊C4×D11C2211yescharacteristic, complemented
126C2×#66942C2212yescomplemented
127C2×#66942C2212yescomplemented
128C2×#66941C2211yescharacteristic, complemented
129C2×#66941C2211yescharacteristic, complemented
130C2×#66940C2211yescharacteristic, complemented
131C2×#66938C2212yescomplemented
132C2×#66938C2212yescomplemented
133C2×#66937C2212yes—
134C2×#66937C2212yescomplemented
135C2×#66936C2212yescomplemented
136C2×#66936C2212yescomplemented
137C2×#66936C2212yescomplemented
138C2×(C22⋊D11)⋊C4C2212yes—
139C2×C22⋊C4×D11C2212yes—
140C2×C22⋊C4×D11C2212yes—
141C2×C22⋊C4×D11C2212yes—
142C2×#66932C2212yescomplemented
143C2×#66931C2212yescomplemented
144C2×#66931C2212yescomplemented
145C2×#66931C2212yescomplemented
146C2×#66931C2212yescomplemented
147C24×D11C2311yescharacteristic
148C24×D11C2312yes—
149C2×C11×#41—44no—
150C2×C11×#41—44no—
151C2×C11×#41C2318yescomplemented
152C2×C11×#41C2318yescomplemented
153C22×Q8×C11C2311yescharacteristic
154C22×Q8×C11C2311yescharacteristic
155C22×D4×C11C2311yescharacteristic
156C22×D4×C11C2312yes—
157C22×D4×C11C2311yescharacteristic
158C22×D4×C11C2312yes—
159C22×D4×C11C2311yescharacteristic
160C22×D4×C11C2312yes—
161C22×D4×C11C2311yescharacteristic
162C23×C4×C11C2311yescharacteristic
163C23×C4×C11C2311yescharacteristic
164C23×C4×C11C2311yescharacteristic
165C23×C4×C11C2312yes—
166C23×C4×C11C2312yes—
167C22×C22⋊D11C2311yescharacteristic
168C22×C22⋊D11C2312yes—
169C22×C22⋊D11C2311yescharacteristic
170C22×C22⋊D11C2311yescharacteristic
171C22×C22⋊D11C2311yescharacteristic
172C22×C22⋊D11C2312yes—
173C22×C22⋊D11C2312yes—
174C22×C22⋊D11C2312yes—
175C22×C22⋊D11C2312yes—
176C23×Dic11C2312yes—
177C23×Dic11C2311yescharacteristic
178C23×Dic11C2312yes—
179C2×Q8×D11—44no—
180C2×Q8×D11C2318yescomplemented
181C2×#4341—48no—
182C2×#4341C23116yescomplemented
183C2×D4×D11—44no—
184C2×D4×D11—48no—
185C2×D4×D11C2318yes—
186C2×D4×D11C23116yes—
187C2×#4339—44no—
188C2×#4339—48no—
189C2×#4339C23116yescomplemented
190C2×#4339C2318yescomplemented
191C22×D44C2312yes—
192C22×D44C2311yescharacteristic
193C22×C4×D11—44no—
194C22×C4×D11C2312yes—
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2312yes—
199C22×C4×D11C2312yes—
200C22×C4×D11C2312yes—
201C22×C4×D11C2312yes—
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2318yes—
204C22×Dic22C2311yescharacteristic
205C22×Dic22C2312yes—
206C22×Dic22C2312yes—
207C22×Dic22C2312yes—
208C11×C22⋊Q8C2318yescomplemented
209C11×C22⋊Q8C2318yescomplemented
210C11×C22⋊Q8C23116yescomplemented
211C11×#121C2318yes—
212C11×#121C23116yescomplemented
213C11×#121C23116yescomplemented
214C11×#121C2318yescomplemented
215C11×#121C23116yescomplemented
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2312yes—
219C2×C11×C4⋊C4C2312yes—
220C2×C11×C4⋊C4C2312yes—
221C2×C11×C4⋊C4C2318yescomplemented
222C2×C11×C22⋊C4C2312yes—
223C2×C11×C22⋊C4C2312yes—
224C2×C11×C22⋊C4C2312yes—
225C2×C11×C22⋊C4C2312yes—
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2312yes—
228C2×C22⋊Dic11C2312yes—
229C2×C22⋊Dic11C2312yes—
230C2×C22⋊Dic11C2312yes—
231C2×C22⋊Dic11C2312yes—
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2312yes—
237C2×C22⋊Dic11C2311yescharacteristic
238#67000C2318yescomplemented
239#66999C2318yes—
240#66999C2318yes—
241#66999C2318yescomplemented
242#66999C23116yescomplemented
243Q8×Dic11C2318yescomplemented
244#66992C23116yes—
245#66992C23116yescomplemented
246#66992C23116yescomplemented
247#66992C23116yescomplemented
248#66991C2318yes—
249#66991C2318yes—
250#66991C2318yescomplemented
251#66991C23116yescomplemented
252#66991C23116yescomplemented
253#66991C23116yescomplemented
254#66990C2318yes—
255#66990C2318yes—
256#66990C23116yes—
257#66990C23116yes—
258#66989C2318yescomplemented
259#66989C23116yescomplemented
260#66989C23116yescomplemented
261#66988C2318yescomplemented
262#66988C2318yescomplemented
263#66988C23116yescomplemented
264#66988C23116yescomplemented
265D4×Dic11C2318yescomplemented
266#66983C2318yes—
267#66983C2318yescomplemented
268#66982C23116yescomplemented
269#66982C23116yescomplemented
270C4×C22⋊D11C2318yes—
271C4×C22⋊D11C23116yes—
272C4×C22⋊D11C2318yes—
273C4×C22⋊D11C2318yescomplemented
274C4×C22⋊D11C2318yescomplemented
275C4×C22⋊D11C23116yescomplemented
276C2×(C2×D11)⋊C4C2312yes—
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2312yes—
279C2×(C2×D11)⋊C4C2312yes—
280C2×(C2×D11)⋊C4C2312yes—
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2312yes—
283C2×(C2×D11)⋊C4C2312yes—
284C2×(C2×D11)⋊C4C2312yes—
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2312yes—
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×(C2×D11)⋊C4C23116yes—
289#66979C2318yescomplemented
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2312yes—
292C2×C4⋊Dic11C2312yes—
293C2×C4⋊Dic11C2312yes—
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2318yescomplemented
298#66977C2318yescomplemented
299#66977C23116yescomplemented
300#66977C23116yescomplemented
301#66977C2318yescomplemented
302C2×Dic11⋊C4C2312yes—
303C2×Dic11⋊C4C2312yes—
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2312yes—
306C2×Dic11⋊C4C2312yes—
307C2×Dic11⋊C4C2312yes—
308C2×Dic11⋊C4C2312yes—
309C2×Dic11⋊C4C2312yes—
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2312yes—
313C2×Dic11⋊C4C2311yescharacteristic
314C2×C4×Dic11C2312yes—
315C2×C4×Dic11C2312yes—
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318#66951C23116yescomplemented
319#66950C2318yes—
320#66950C23116yes—
321#66950C23116yescomplemented
322#66949C23116yes—
323#66949C23116yes—
324#66949C23116yescomplemented
325#66949C23116yescomplemented
326#66948C2318yes—
327#66947C23116yescomplemented
328#66946C2318yescomplemented
329#66946C23116yescomplemented
330C4⋊C4×D11C2318yes—
331C4⋊C4×D11C2318yescomplemented
332C4⋊C4×D11C23116yescomplemented
333#66942C23116yescomplemented
334#66942C23116yescomplemented
335#66941C2318yescomplemented
336#66941C2318yescomplemented
337#66940C2318yescomplemented
338#66938C23116yescomplemented
339#66938C23116yescomplemented
340#66937C23116yes—
341#66937C23116yescomplemented
342#66936C23116yescomplemented
343#66936C23116yescomplemented
344#66936C23116yescomplemented
345(C22⋊D11)⋊C4C23116yes—
346C22⋊C4×D11C23116yes—
347C22⋊C4×D11C23116yes—
348C22⋊C4×D11C23116yes—
349#66932C23116yescomplemented
350#66931C23116yescomplemented
351#66931C23116yescomplemented
352#66931C23116yescomplemented
353#66931C23116yescomplemented
354C2×#3536—111nomaximal, Sylow
355C24×C11C2412yes—
356C24×C11C2411yescharacteristic
357C24×C11C2411yescharacteristic
358C24×C11C2411yescharacteristic
359C23×D11—24no—
360C23×D11—24no—
361C23×D11—28no—
362C23×D11—42no—
363C23×D11—44no—
364C23×D11—44no—
365C23×D11C2412yes—
366C23×D11C2414yes—
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C23×D11C2418yes—
370C11×#41—416no—
371C11×#41—416no—
372C2×Q8×C11—24no—
373C2×Q8×C11—42no—
374C2×Q8×C11C2414yes—
375C2×Q8×C11C2414yes—
376C2×D4×C11—24no—
377C2×D4×C11—44no—
378C2×D4×C11—44no—
379C2×D4×C11—44no—
380C2×D4×C11—42no—
381C2×D4×C11—42no—
382C2×D4×C11—42no—
383C2×D4×C11C2414yes—
384C2×D4×C11C2418yes—
385C2×D4×C11C2414yes—
386C2×D4×C11C2418yes—
387C2×D4×C11C2414yes—
388C2×D4×C11C2418yes—
389C2×D4×C11C2414yes—
390C22×C4×C11—24no—
391C22×C4×C11—24no—
392C22×C4×C11—24no—
393C22×C4×C11—44no—
394C22×C4×C11—44no—
395C22×C4×C11C2412yes—
396C22×C4×C11C2412yes—
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2412yes—
401C22×C4×C11C2414yes—
402C22×C4×C11C2414yes—
403C22×C4×C11C2414yes—
404C22×C4×C11C2418yes—
405C22×C4×C11C2418yes—
406C22×C4×C11C2411yescharacteristic
407C2×C22⋊D11—24no—
408C2×C22⋊D11—28no—
409C2×C22⋊D11—24no—
410C2×C22⋊D11—24no—
411C2×C22⋊D11—24no—
412C2×C22⋊D11—44no—
413C2×C22⋊D11—44no—
414C2×C22⋊D11—44no—
415C2×C22⋊D11—44no—
416C2×C22⋊D11C2414yes—
417C2×C22⋊D11C2418yes—
418C2×C22⋊D11C2414yes—
419C2×C22⋊D11C2414yes—
420C2×C22⋊D11C2414yes—
421C2×C22⋊D11C2418yes—
422C2×C22⋊D11C2418yes—
423C2×C22⋊D11C2418yes—
424C2×C22⋊D11C2418yes—
425C22×Dic11—42no—
426C22×Dic11—44no—
427C22×Dic11—44no—
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2412yes—
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2412yes—
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2412yes—
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2418yes—
438C22×Dic11C2414yes—
439C22×Dic11C2418yes—
440Q8×D11—416no—
441#4341—432no—
442D4×D11—416no—
443D4×D11—432no—
444#4339—416no—
445#4339—432no—
446C2×D44—28no—
447C2×D44—24no—
448C2×D44C2418yes—
449C2×D44C2414yes—
450C2×C4×D11—28no—
451C2×C4×D11—24no—
452C2×C4×D11—24no—
453C2×C4×D11—42no—
454C2×C4×D11—42no—
455C2×C4×D11—44no—
456C2×C4×D11—44no—
457C2×C4×D11—44no—
458C2×C4×D11—44no—
459C2×C4×D11—416no—
460C2×C4×D11C2418yes—
461C2×C4×D11C2414yes—
462C2×C4×D11C2414yes—
463C2×C4×D11C2414yes—
464C2×C4×D11C2418yes—
465C2×C4×D11C2418yes—
466C2×C4×D11C2418yes—
467C2×C4×D11C2418yes—
468C2×C4×D11C2414yes—
469C2×Dic22—24no—
470C2×Dic22—44no—
471C2×Dic22—44no—
472C2×Dic22—44no—
473C2×Dic22C2414yes—
474C2×Dic22C2418yes—
475C2×Dic22C2418yes—
476C2×Dic22C2418yes—
477C11×C4⋊C4C2414yes—
478C11×C4⋊C4C2414yes—
479C11×C4⋊C4C2418yes—
480C11×C4⋊C4C2418yes—
481C11×C4⋊C4C2418yes—
482C11×C22⋊C4C2418yes—
483C11×C22⋊C4C2418yes—
484C11×C22⋊C4C2418yes—
485C11×C22⋊C4C2418yes—
486C22⋊Dic11C2414yes—
487C22⋊Dic11C2418yes—
488C22⋊Dic11C2418yes—
489C22⋊Dic11C2418yes—
490C22⋊Dic11C2418yes—
491C22⋊Dic11C2418yes—
492C22⋊Dic11C2414yes—
493C22⋊Dic11C2414yes—
494C22⋊Dic11C2414yes—
495C22⋊Dic11C2414yes—
496C22⋊Dic11C2418yes—
497C22⋊Dic11C2414yes—
498(C2×D11)⋊C4C2418yes—
499(C2×D11)⋊C4C2414yes—
500(C2×D11)⋊C4C2418yes—
501(C2×D11)⋊C4C2418yes—
502(C2×D11)⋊C4C2418yes—
503(C2×D11)⋊C4C2414yes—
504(C2×D11)⋊C4C2418yes—
505(C2×D11)⋊C4C2418yes—
506(C2×D11)⋊C4C2418yes—
507(C2×D11)⋊C4C2414yes—
508(C2×D11)⋊C4C2418yes—
509(C2×D11)⋊C4C2414yes—
510C4⋊Dic11C2414yes—
511C4⋊Dic11C2418yes—
512C4⋊Dic11C2418yes—
513C4⋊Dic11C2418yes—
514C4⋊Dic11C2414yes—
515C4⋊Dic11C2414yes—
516C4⋊Dic11C2414yes—
517Dic11⋊C4C2418yes—
518Dic11⋊C4C2418yes—
519Dic11⋊C4C2414yes—
520Dic11⋊C4C2418yes—
521Dic11⋊C4C2418yes—
522Dic11⋊C4C2418yes—
523Dic11⋊C4C2418yes—
524Dic11⋊C4C2418yes—
525Dic11⋊C4C2414yes—
526Dic11⋊C4C2414yes—
527Dic11⋊C4C2418yes—
528Dic11⋊C4C2414yes—
529C4×Dic11C2418yes—
530C4×Dic11C2418yes—
531C4×Dic11C2414yes—
532C4×Dic11C2414yes—
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×#546—111no—
546C2×#543—112no—
547C2×#542—111no—
548C2×#542—111no—
549C2×#539—112no—
550C2×#538—112no—
551C2×#537—111no—
552C2×#537—112no—
553C2×#537D1111yescharacteristic, complemented
554C2×#525—111no—
555C22×C22⋊Q8—111no—
556C22×#121—111no—
557C23×C11—22no—
558C23×C11—24no—
559C23×C11—22no—
560C23×C11—22no—
561C23×C11—22no—
562C23×C11—22no—
563C23×C11—24no—
564C23×C11—22no—
565C23×C11—22no—
566C23×C11—22no—
567C23×C11—22no—
568C23×C11—24no—
569C23×C11C2512yes—
570C23×C11C2514yes—
571C23×C11C2512yes—
572C23×C11C2512yes—
573C23×C11C2511yescharacteristic
574C22×D11—22no—
575C22×D11—22no—
576C22×D11—22no—
577C22×D11—22no—
578C22×D11—24no—
579C22×D11—24no—
580C22×D11—24no—
581C22×D11—28no—
582C22×D11—28no—
583C22×D11—216no—
584C22×D11—44no—
585C22×D11—416no—
586C22×D11—48no—
587C22×D11—48no—
588C22×D11—816no—
589C22×D11H(5,𝔽2)14yes—
590C22×D112−1+414yes—
591C22×D11C2514yes—
592C22×D11C2512yes—
593C22×D11C2512yes—
594Q8×C11—28no—
595Q8×C11—44no—
596D4×C11—28no—
597D4×C11—48no—
598D4×C11—48no—
599D4×C11—44no—
600D4×C11—44no—
601D4×C11—44no—
602D4×C11—48no—
603C2×C4×C11—24no—
604C2×C4×C11—24no—
605C2×C4×C11—24no—
606C2×C4×C11—22no—
607C2×C4×C11—22no—
608C2×C4×C11—22no—
609C2×C4×C11—28no—
610C2×C4×C11—28no—
611C2×C4×C11—28no—
612C2×C4×C11—48no—
613C2×C4×C11—48no—
614C2×C4×C11H(5,𝔽2)14yes—
615C2×C4×C11C2514yes—
616C2×C4×C11C2514yes—
617C2×C4×C11C2512yes—
618C2×C4×C11C2512yes—
619C2×C4×C11C2512yes—
620C2×C4×C11C2514yes—
621C2×C4×C11C2512yes—
622C22⋊D11—28no—
623C22⋊D11—216no—
624C22⋊D11—28no—
625C22⋊D11—28no—
626C22⋊D11—28no—
627C22⋊D11—48no—
628C22⋊D11—48no—
629C22⋊D11—48no—
630C22⋊D11—48no—
631C2×Dic11—24no—
632C2×Dic11—22no—
633C2×Dic11—22no—
634C2×Dic11—22no—
635C2×Dic11—24no—
636C2×Dic11—24no—
637C2×Dic11—22no—
638C2×Dic11—22no—
639C2×Dic11—22no—
640C2×Dic11—44no—
641C2×Dic11—48no—
642C2×Dic11—48no—
643C2×Dic11C2512yes—
644C2×Dic11C2512yes—
645C2×Dic11C2514yes—
646C2×Dic11C2512yes—
647C2×Dic11C2514yes—
648C2×Dic11C2512yes—
649C2×Dic11C2512yes—
650C2×Dic11C2514yes—
651C2×Dic11C2512yes—
652D44—216no—
653D44—28no—
654C4×D11—216no—
655C4×D11—28no—
656C4×D11—28no—
657C4×D11—44no—
658C4×D11—44no—
659C4×D11—48no—
660C4×D11—48no—
661C4×D11—48no—
662C4×D11—48no—
663Dic22—28no—
664Dic22—48no—
665Dic22—48no—
666Dic22—48no—
667C22×#41—112no—
668C22×#41—112no—
669C22×#41—111no—
670C22×#41C2×D1111yescharacteristic, complemented
671C22×#41C2×D1111yescharacteristic, complemented
672C23×Q8—111no—
673C23×D4—111no—
674C23×D4—112no—
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#546—1116no—
688#543—1132no—
689#542—1116no—
690#542—1116no—
691#539—1132no—
692#538—1132no—
693#537—1116no—
694#537—1132no—
695#537C2×D11116yescomplemented
696C2×C4⋊Q8—111no—
697C2×C4⋊Q8—111no—
698C2×#126—112no—
699C2×#126—112no—
700C2×#125—112no—
701C2×#125—112no—
702C2×#124—111no—
703C2×#124—112no—
704C2×#124—111no—
705C2×#124—112no—
706C2×#124—112no—
707C2×#124—112no—
708#525—1116no—
709C2×#123—111no—
710C2×#123—111no—
711C2×#123—112no—
712C2×#123—112no—
713C2×#123—112no—
714C2×#123—112no—
715C2×#123—112no—
716C2×#123—112no—
717C2×#123—112no—
718C2×#123—112no—
719C2×C22⋊Q8—111no—
720C2×C22⋊Q8—111no—
721C2×C22⋊Q8—111no—
722C2×C22⋊Q8—112no—
723C2×C22⋊Q8—111no—
724C2×C22⋊Q8—111no—
725C2×C22⋊Q8—112no—
726C2×C22⋊Q8—112no—
727C2×C22⋊Q8—1116no—
728C2×C22⋊Q8—112no—
729C2×C22⋊Q8—112no—
730C2×C22⋊Q8—112no—
731C2×C22⋊Q8—112no—
732C2×C22⋊Q8—111no—
733C2×C22⋊Q8—112no—
734C2×C22⋊Q8—112no—
735C2×C22⋊Q8—112no—
736C2×C22⋊Q8—112no—
737C2×C22⋊Q8—112no—
738C2×C22⋊Q8—112no—
739C2×C22⋊Q8C2×D1111yescharacteristic, complemented
740C2×C22⋊Q8C2×D1112yescomplemented
741C2×C22⋊Q8C2×D1111yescharacteristic, complemented
742C2×#121—111no—
743C2×#121—111no—
744C2×#121—111no—
745C2×#121—112no—
746C2×#121—112no—
747C2×#121—112no—
748C2×#121—112no—
749C2×#121—112no—
750C2×#121—112no—
751C2×#121—112no—
752C2×#121—111no—
753C2×#121—111no—
754C2×#121—1116no—
755C2×#121—111no—
756C2×#121—112no—
757C2×#121—112no—
758C2×#121C2×D1111yescharacteristic
759C2×#121C2×D1112yescomplemented
760C2×#121C2×D1111yescharacteristic, complemented
761C2×#121C2×D1112yescomplemented
762C2×#121C2×D1112yescomplemented
763C2×#120—111no—
764C2×#120—111no—
765C2×#120—112no—
766C2×#120—112no—
767C2×C4×Q8—111no—
768C2×C4×Q8—111no—
769C2×C4×D4—111no—
770C2×C4×D4—111no—
771C2×C4×D4—111no—
772C2×C4×D4—112no—
773C2×C4×D4—111no—
774C2×C4×D4—111no—
775C2×C4×D4—112no—
776C2×C4×D4—112no—
777C2×C4×D4—111no—
778C2×C4×D4—112no—
779C2×#117—111no—
780C22×C4⋊C4—111no—
781C22×C4⋊C4—111no—
782C22×C4⋊C4—112no—
783C22×C4⋊C4—111no—
784C22×C4⋊C4C2×D1111yescharacteristic, complemented
785C22×C22⋊C4—112no—
786C22×C22⋊C4—112no—
787C22×C22⋊C4—112no—
788C22×C22⋊C4—112no—
789C22×C11—22no—
790C22×C11—22no—
791C22×C11—22no—
792C22×C11—22no—
793C22×C11—24no—
794C22×C11—22no—
795C22×C11—24no—
796C22×C11—22no—
797C22×C11—22no—
798C22×C11—24no—
799C22×C11—22no—
800C22×C11—22no—
801C22×C11—44no—
802C22×C11—48no—
803C22×C11—44no—
804C22×C11—44no—
805C22×C11C2×H(5,𝔽2)12yes—
806C22×C11C2×H(5,𝔽2)12yes—
807C22×C11C2×2−1+412yes—
808C22×C11C2611yescharacteristic
809C2×D11—22no—
810C2×D11—22no—
811C2×D11—22no—
812C2×D11—22no—
813C2×D11—28no—
814C2×D11—28no—
815C2×D11—24no—
816C2×D11—24no—
817C2×D11—24no—
818C2×D11—416no—
819C2×D11—48no—
820C2×D11—816no—
821C2×D11C2×H(5,𝔽2)14yes—
822C2×D11C2×2−1+414yes—
823C4×C11—22no—
824C4×C11—22no—
825C4×C11—22no—
826C4×C11—24no—
827C4×C11—24no—
828C4×C11—24no—
829C4×C11C2×H(5,𝔽2)14yes—
830Dic11—24no—
831Dic11—22no—
832Dic11—22no—
833Dic11—22no—
834Dic11—24no—
835Dic11—24no—
836Dic11—22no—
837Dic11—22no—
838Dic11—22no—
839C25—111no—
840C25—112no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—1116no—
844C2×#41—1116no—
845C2×#41—118no—
846C2×#41—444no—
847C2×#41—448no—
848C2×#41—448no—
849C2×#41C22×D1118yescomplemented
850C2×#41C22×D1118yescomplemented
851C22×Q8—118no—
852C22×Q8—111no—
853C22×Q8—112no—
854C22×Q8—112no—
855C22×Q8—112no—
856C22×Q8—444no—
857C22×Q8C22×D1111yescharacteristic
858C22×Q8C22×D1111yescharacteristic
859C22×D4—111no—
860C22×D4—111no—
861C22×D4—111no—
862C22×D4—111no—
863C22×D4—112no—
864C22×D4—112no—
865C22×D4—112no—
866C22×D4—112no—
867C22×D4—112no—
868C22×D4—118no—
869C22×D4—1116no—
870C22×D4—112no—
871C22×D4—111no—
872C22×D4—444no—
873C22×D4—448no—
874C22×D4C22×D1111yescharacteristic
875C22×D4C22×D1111yescharacteristic
876C22×D4C22×D1111yescharacteristic
877C22×D4C22×D1112yes—
878C22×D4C22×D1112yes—
879C22×D4C22×D1111yescharacteristic
880C22×D4C22×D1112yes—
881C23×C4—112no—
882C23×C4—112no—
883C23×C4—111no—
884C23×C4—112no—
885C23×C4—111no—
886C23×C4—111no—
887C23×C4—111no—
888C23×C4—112no—
889C23×C4—112no—
890C23×C4—112no—
891C23×C4—112no—
892C23×C4—111no—
893C23×C4—118no—
894C23×C4—444no—
895C23×C4C22×D1111yescharacteristic
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—118no—
907#124—1116no—
908#124—118no—
909#124—1116no—
910#124—1116no—
911#124—1116no—
912#123—118no—
913#123—118no—
914#123—1116no—
915#123—1116no—
916#123—1116no—
917#123—1116no—
918#123—1116no—
919#123—1116no—
920#123—1116no—
921#123—1116no—
922C22⋊Q8—118no—
923C22⋊Q8—118no—
924C22⋊Q8—118no—
925C22⋊Q8—1116no—
926C22⋊Q8—118no—
927C22⋊Q8—118no—
928C22⋊Q8—1116no—
929C22⋊Q8—1116no—
930C22⋊Q8—1116no—
931C22⋊Q8—118no—
932C22⋊Q8—1116no—
933C22⋊Q8—1116no—
934C22⋊Q8—1116no—
935C22⋊Q8—1116no—
936C22⋊Q8—1116no—
937C22⋊Q8—1116no—
938C22⋊Q8—1116no—
939C22⋊Q8—1116no—
940C22⋊Q8—1116no—
941C22⋊Q8C22×D1118yescomplemented
942C22⋊Q8C22×D11116yescomplemented
943C22⋊Q8C22×D1118yescomplemented
944#121—118no—
945#121—1116no—
946#121—118no—
947#121—118no—
948#121—1116no—
949#121—1116no—
950#121—1116no—
951#121—1116no—
952#121—1116no—
953#121—1116no—
954#121—118no—
955#121—118no—
956#121—118no—
957#121—1116no—
958#121—1116no—
959#121C22×D1118yes—
960#121C22×D11116yescomplemented
961#121C22×D1118yescomplemented
962#121C22×D11116yescomplemented
963#121C22×D11116yescomplemented
964#120—118no—
965#120—118no—
966#120—1116no—
967#120—1116no—
968C4×Q8—118no—
969C4×Q8—118no—
970C4×D4—118no—
971C4×D4—118no—
972C4×D4—118no—
973C4×D4—118no—
974C4×D4—118no—
975C4×D4—1116no—
976C4×D4—1116no—
977C4×D4—1116no—
978C4×D4—118no—
979C4×D4—1116no—
980#117—118no—
981C2×C4⋊C4—111no—
982C2×C4⋊C4—111no—
983C2×C4⋊C4—112no—
984C2×C4⋊C4—112no—
985C2×C4⋊C4—112no—
986C2×C4⋊C4—112no—
987C2×C4⋊C4—112no—
988C2×C4⋊C4—112no—
989C2×C4⋊C4—118no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—112no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—112no—
998C2×C4⋊C4—112no—
999C2×C4⋊C4—112no—
1000C2×C4⋊C4—112no—
1001C2×C4⋊C4—118no—
1002C2×C4⋊C4—1116no—
1003C2×C4⋊C4—118no—
1004C2×C4⋊C4C22×D1111yescharacteristic
1005C2×C4⋊C4C22×D1111yescharacteristic
1006C2×C4⋊C4C22×D1112yes—
1007C2×C4⋊C4C22×D1112yes—
1008C2×C4⋊C4C22×D1112yes—
1009C2×C4⋊C4C22×D1118yescomplemented
1010C2×C22⋊C4—112no—
1011C2×C22⋊C4—112no—
1012C2×C22⋊C4—112no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—112no—
1016C2×C22⋊C4—112no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—112no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—112no—
1025C2×C22⋊C4—112no—
1026C2×C22⋊C4—112no—
1027C2×C22⋊C4—112no—
1028C2×C22⋊C4—112no—
1029C2×C22⋊C4—112no—
1030C2×C22⋊C4—1116no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—112no—
1034C2×C22⋊C4—112no—
1035C2×C22⋊C4—1116no—
1036C2×C22⋊C4—1116no—
1037C2×C22⋊C4—1116no—
1038C2×C22⋊C4C22×D1112yes—
1039C2×C22⋊C4C22×D1112yes—
1040C2×C22⋊C4C22×D1112yes—
1041C2×C22⋊C4C22×D1112yes—
1042C2×C42—111no—
1043C2×C42—111no—
1044C2×C42—112no—
1045C2×C42—112no—
1046C2×C11—42no—
1047C2×C11—44no—
1048C2×C11—42no—
1049C2×C11—42no—
1050C2×C11#353614yescomplemented
1051C2×C11C22×H(5,𝔽2)11yescharacteristic
1052C2×C11C22×H(5,𝔽2)11yescharacteristic
1053C2×C11C22×2−1+411yescharacteristic
1054D11—24no—
1055D11—24no—
1056D11—44no—
1057C24—111no—
1058C24—111no—
1059C24—112no—
1060C24—114no—
1061C24—118no—
1062C24—224no—
1063C24—224no—
1064C24—228no—
1065C24—442no—
1066C24—444no—
1067C24—444no—
1068C24C23×D1111yescharacteristic
1069C24C23×D1112yes—
1070C24C23×D1111yescharacteristic
1071C24C23×D1111yescharacteristic
1072#41—416no—
1073#41—416no—
1074#41—4416no—
1075#41—4432no—
1076#41—4432no—
1077C2×Q8—24no—
1078C2×Q8—42no—
1079C2×Q8—114no—
1080C2×Q8—118no—
1081C2×Q8—118no—
1082C2×Q8—118no—
1083C2×Q8—224no—
1084C2×Q8—444no—
1085C2×Q8—444no—
1086C2×Q8—444no—
1087C2×Q8—4416no—
1088C2×Q8C23×D1114yes—
1089C2×Q8C23×D1114yes—
1090C2×D4—24no—
1091C2×D4—44no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—114no—
1098C2×D4—114no—
1099C2×D4—114no—
1100C2×D4—114no—
1101C2×D4—118no—
1102C2×D4—118no—
1103C2×D4—118no—
1104C2×D4—118no—
1105C2×D4—118no—
1106C2×D4—118no—
1107C2×D4—114no—
1108C2×D4—228no—
1109C2×D4—228no—
1110C2×D4—224no—
1111C2×D4—224no—
1112C2×D4—224no—
1113C2×D4—224no—
1114C2×D4—224no—
1115C2×D4—4416no—
1116C2×D4—444no—
1117C2×D4—444no—
1118C2×D4—444no—
1119C2×D4—444no—
1120C2×D4—4432no—
1121C2×D4C23×D1114yes—
1122C2×D4C23×D1114yes—
1123C2×D4C23×D1114yes—
1124C2×D4C23×D1118yes—
1125C2×D4C23×D1118yes—
1126C2×D4C23×D1114yes—
1127C2×D4C23×D1118yes—
1128C22×C4—24no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—112no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—112no—
1139C22×C4—111no—
1140C22×C4—112no—
1141C22×C4—111no—
1142C22×C4—118no—
1143C22×C4—118no—
1144C22×C4—114no—
1145C22×C4—118no—
1146C22×C4—114no—
1147C22×C4—114no—
1148C22×C4—114no—
1149C22×C4—118no—
1150C22×C4—118no—
1151C22×C4—118no—
1152C22×C4—118no—
1153C22×C4—114no—
1154C22×C4—228no—
1155C22×C4—224no—
1156C22×C4—224no—
1157C22×C4—4416no—
1158C22×C4—442no—
1159C22×C4—442no—
1160C22×C4—444no—
1161C22×C4—444no—
1162C22×C4—444no—
1163C22×C4—444no—
1164C22×C4—442no—
1165C22×C4—444no—
1166C22×C4—444no—
1167C22×C4C23×D1114yes—
1168C22×C4C23×D1114yes—
1169C22×C4C23×D1114yes—
1170C22×C4C23×D1112yes—
1171C22×C4C23×D1112yes—
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C22×C4C23×D1112yes—
1176C22×C4C23×D1118yes—
1177C22×C4C23×D1118yes—
1178C22×C4C23×D1111yescharacteristic
1179C4⋊C4—114no—
1180C4⋊C4—114no—
1181C4⋊C4—118no—
1182C4⋊C4—118no—
1183C4⋊C4—118no—
1184C4⋊C4—118no—
1185C4⋊C4—118no—
1186C4⋊C4—118no—
1187C4⋊C4—114no—
1188C4⋊C4—114no—
1189C4⋊C4—118no—
1190C4⋊C4—114no—
1191C4⋊C4—114no—
1192C4⋊C4—114no—
1193C4⋊C4—114no—
1194C4⋊C4—118no—
1195C4⋊C4—118no—
1196C4⋊C4—118no—
1197C4⋊C4—118no—
1198C4⋊C4C23×D1114yes—
1199C4⋊C4C23×D1114yes—
1200C4⋊C4C23×D1118yes—
1201C4⋊C4C23×D1118yes—
1202C4⋊C4C23×D1118yes—
1203C22⋊C4—118no—
1204C22⋊C4—118no—
1205C22⋊C4—118no—
1206C22⋊C4—114no—
1207C22⋊C4—114no—
1208C22⋊C4—118no—
1209C22⋊C4—118no—
1210C22⋊C4—114no—
1211C22⋊C4—114no—
1212C22⋊C4—118no—
1213C22⋊C4—114no—
1214C22⋊C4—114no—
1215C22⋊C4—114no—
1216C22⋊C4—114no—
1217C22⋊C4—118no—
1218C22⋊C4—118no—
1219C22⋊C4—118no—
1220C22⋊C4—118no—
1221C22⋊C4—118no—
1222C22⋊C4—118no—
1223C22⋊C4—114no—
1224C22⋊C4—114no—
1225C22⋊C4—118no—
1226C22⋊C4—118no—
1227C22⋊C4C23×D1118yes—
1228C22⋊C4C23×D1118yes—
1229C22⋊C4C23×D1118yes—
1230C22⋊C4C23×D1118yes—
1231C42—114no—
1232C42—114no—
1233C42—118no—
1234C42—118no—
1235C11C2×#353611yescharacteristic, complemented, Sylow
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—24no—
1240C23—22no—
1241C23—22no—
1242C23—24no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—22no—
1247C23—24no—
1248C23—114no—
1249C23—114no—
1250C23—112no—
1251C23—112no—
1252C23—114no—
1253C23—228no—
1254C23—228no—
1255C23—2216no—
1256C23—222no—
1257C23—222no—
1258C23—222no—
1259C23—222no—
1260C23—224no—
1261C23—224no—
1262C23—224no—
1263C23—444no—
1264C23—448no—
1265C23—448no—
1266C23—4416no—
1267C23—8816no—
1268C23C24×D1114yes—
1269C23C24×D1112yes—
1270C23C24×D1112yes—
1271C23C24×D1112yes—
1272C23C24×D1111yescharacteristic
1273Q8—28no—
1274Q8—44no—
1275Q8—228no—
1276Q8—448no—
1277Q8—448no—
1278Q8—448no—
1279D4—28no—
1280D4—48no—
1281D4—44no—
1282D4—44no—
1283D4—44no—
1284D4—48no—
1285D4—48no—
1286D4—2216no—
1287D4—2216no—
1288D4—228no—
1289D4—228no—
1290D4—228no—
1291D4—228no—
1292D4—228no—
1293D4—448no—
1294D4—448no—
1295D4—448no—
1296D4—448no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—24no—
1301C2×C4—24no—
1302C2×C4—24no—
1303C2×C4—28no—
1304C2×C4—28no—
1305C2×C4—28no—
1306C2×C4—48no—
1307C2×C4—48no—
1308C2×C4—112no—
1309C2×C4—112no—
1310C2×C4—112no—
1311C2×C4—112no—
1312C2×C4—114no—
1313C2×C4—114no—
1314C2×C4—112no—
1315C2×C4—114no—
1316C2×C4—112no—
1317C2×C4—2216no—
1318C2×C4—222no—
1319C2×C4—222no—
1320C2×C4—224no—
1321C2×C4—224no—
1322C2×C4—224no—
1323C2×C4—222no—
1324C2×C4—222no—
1325C2×C4—222no—
1326C2×C4—222no—
1327C2×C4—228no—
1328C2×C4—228no—
1329C2×C4—444no—
1330C2×C4—444no—
1331C2×C4—448no—
1332C2×C4—448no—
1333C2×C4—448no—
1334C2×C4—448no—
1335C2×C4—444no—
1336C2×C4—448no—
1337C2×C4—448no—
1338C2×C4#6703714yes—
1339C2×C4C24×D1114yes—
1340C2×C4C24×D1114yes—
1341C2×C4C24×D1112yes—
1342C2×C4C24×D1112yes—
1343C2×C4C24×D1112yes—
1344C2×C4C24×D1114yes—
1345C2×C4C24×D1112yes—
1346C22—22no—
1347C22—22no—
1348C22—24no—
1349C22—22no—
1350C22—22no—
1351C22—22no—
1352C22—22no—
1353C22—24no—
1354C22—22no—
1355C22—22no—
1356C22—22no—
1357C22—24no—
1358C22—44no—
1359C22—48no—
1360C22—44no—
1361C22—44no—
1362C22—114no—
1363C22—114no—
1364C22—222no—
1365C22—222no—
1366C22—222no—
1367C22—222no—
1368C22—228no—
1369C22—228no—
1370C22—224no—
1371C22—224no—
1372C22—224no—
1373C22—4416no—
1374C22—448no—
1375C22—8816no—
1376C22C2×#6703712yes—
1377C22D11×H(5,𝔽2)12yes—
1378C22D11×2−1+412yes—
1379C22C25×D1111yescharacteristic
1380C4—24no—
1381C4—24no—
1382C4—22no—
1383C4—22no—
1384C4—22no—
1385C4—24no—
1386C4—224no—
1387C4—224no—
1388C4—222no—
1389C4—222no—
1390C4—222no—
1391C4—222no—
1392C4—224no—
1393C4—222no—
1394C4—222no—
1395C4C2×#6703714yes—
1396C2—42no—
1397C2—44no—
1398C2—42no—
1399C2—42no—
1400C2—224no—
1401C2—224no—
1402C2—444no—
1403C2#1308283414yesdirect product factor
1404C2C2×D11×H(5,𝔽2)11yescharacteristic
1405C2C22×#6703711yescharacteristic
1406C2C2×D11×2−1+411yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#537C2
socleC23×C11C25
hypercenterC2×#537D11
hypocenterC11C2×#3536
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#537

Complements

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

NH ≅ G/Ntype
1. #13082834C2direct (N × H)
2. C2×#10623152C2semidirect
3. C2×#10623152C2semidirect
4. C2×#10623166C2semidirect
5. C2×#10623042C2semidirect
6. C2×#10623164C2semidirect
7. C2×#10623362C2semidirect
8. C2×#10623038C2semidirect
9. C2×#10623142C2semidirect
10. C2×#10623143C2semidirect
11. C2×#10623143C2semidirect
12. C2×#10623141C2semidirect
13. C2×#10623360C2semidirect
14. C2×#10623165C2semidirect
15. C2×#10623174C2semidirect
16. C2×#10623134C2semidirect
17. C2×#10623169C2semidirect
18. C2×#10623144C2semidirect
19. C2×#10623139C2semidirect
20. C2×#10623364C2semidirect
21. C2×#10623359C2semidirect
22. C2×D11×C22⋊Q8C2semidirect
23. C2×D11×#121C2semidirect
24. C2×C11×#537C2semidirect
25. C22×C11×#41C22semidirect
26. C22×C11×#41C22semidirect
27. C22×Q8×D11C22semidirect
28. C22×#4341C22semidirect
31. C22×#4339C22semidirect
32. C22×#4339C22semidirect
34. C11×#537C22semidirect
35. C2×C11×C22⋊Q8C22semidirect
36. C2×C11×C22⋊Q8C22semidirect
37. C2×C11×C22⋊Q8C22semidirect
39. C2×C11×#121C22semidirect
40. C2×C11×#121C22semidirect
41. C2×C11×#121C22semidirect
42. C2×C11×#121C22semidirect
43. C22×C11×C4⋊C4C22semidirect
44. #10623364C22semidirect
45. #10623362C22semidirect
46. #10623360C22semidirect
47. #10623359C22semidirect
48. C2×#67000C22semidirect
51. C2×#66999C22semidirect
52. C2×#66999C22semidirect
53. C2×Q8×Dic11C22semidirect
55. C2×#66992C22semidirect
56. C2×#66992C22semidirect
57. C2×#66992C22semidirect
60. C2×#66991C22semidirect
61. C2×#66991C22semidirect
62. C2×#66991C22semidirect
63. C2×#66991C22semidirect
68. C2×#66989C22semidirect
69. C2×#66989C22semidirect
70. C2×#66989C22semidirect
71. C2×#66988C22semidirect
72. C2×#66988C22semidirect
73. C2×#66988C22semidirect
74. C2×#66988C22semidirect
75. C2×D4×Dic11C22semidirect
77. C2×#66983C22semidirect
78. C2×#66982C22semidirect
79. C2×#66982C22semidirect
83. C2×C4×C22⋊D11C22semidirect
84. C2×C4×C22⋊D11C22semidirect
85. C2×C4×C22⋊D11C22semidirect
87. C2×#66979C22semidirect
88. C22×C4⋊Dic11C22semidirect
89. C2×#66977C22semidirect
90. C2×#66977C22semidirect
91. C2×#66977C22semidirect
92. C2×#66977C22semidirect
93. #10623174C22semidirect
94. #10623169C22semidirect
95. #10623166C22semidirect
96. #10623165C22semidirect
97. #10623164C22semidirect
98. D11×C22⋊Q8C22semidirect
99. #10623152C22semidirect
100. #10623152C22semidirect
101. #10623144C22semidirect
102. #10623143C22semidirect
103. #10623143C22semidirect
104. #10623142C22semidirect
105. #10623141C22semidirect
106. #10623139C22semidirect
107. D11×#121C22semidirect
108. #10623134C22semidirect
109. C2×#66951C22semidirect
110. #10623042C22semidirect
113. C2×#66950C22semidirect
116. C2×#66949C22semidirect
117. C2×#66949C22semidirect
118. #10623038C22semidirect
120. C2×#66947C22semidirect
121. C2×#66946C22semidirect
122. C2×#66946C22semidirect
124. C2×C4⋊C4×D11C22semidirect
125. C2×C4⋊C4×D11C22semidirect
126. C2×#66942C22semidirect
127. C2×#66942C22semidirect
128. C2×#66941C22semidirect
129. C2×#66941C22semidirect
130. C2×#66940C22semidirect
131. C2×#66938C22semidirect
132. C2×#66938C22semidirect
134. C2×#66937C22semidirect
135. C2×#66936C22semidirect
136. C2×#66936C22semidirect
137. C2×#66936C22semidirect
142. C2×#66932C22semidirect
143. C2×#66931C22semidirect
144. C2×#66931C22semidirect
145. C2×#66931C22semidirect
146. C2×#66931C22semidirect
151. C2×C11×#41C23semidirect
152. C2×C11×#41C23semidirect
180. C2×Q8×D11C23semidirect
182. C2×#4341C23semidirect
189. C2×#4339C23semidirect
190. C2×#4339C23semidirect
208. C11×C22⋊Q8C23semidirect
209. C11×C22⋊Q8C23semidirect
210. C11×C22⋊Q8C23semidirect
212. C11×#121C23semidirect
213. C11×#121C23semidirect
214. C11×#121C23semidirect
215. C11×#121C23semidirect
221. C2×C11×C4⋊C4C23semidirect
238. #67000C23semidirect
241. #66999C23semidirect
242. #66999C23semidirect
243. Q8×Dic11C23semidirect
245. #66992C23semidirect
246. #66992C23semidirect
247. #66992C23semidirect
250. #66991C23semidirect
251. #66991C23semidirect
252. #66991C23semidirect
253. #66991C23semidirect
258. #66989C23semidirect
259. #66989C23semidirect
260. #66989C23semidirect
261. #66988C23semidirect
262. #66988C23semidirect
263. #66988C23semidirect
264. #66988C23semidirect
265. D4×Dic11C23semidirect
267. #66983C23semidirect
268. #66982C23semidirect
269. #66982C23semidirect
273. C4×C22⋊D11C23semidirect
274. C4×C22⋊D11C23semidirect
275. C4×C22⋊D11C23semidirect
289. #66979C23semidirect
297. C2×C4⋊Dic11C23semidirect
298. #66977C23semidirect
299. #66977C23semidirect
300. #66977C23semidirect
301. #66977C23semidirect
318. #66951C23semidirect
321. #66950C23semidirect
324. #66949C23semidirect
325. #66949C23semidirect
327. #66947C23semidirect
328. #66946C23semidirect
329. #66946C23semidirect
331. C4⋊C4×D11C23semidirect
332. C4⋊C4×D11C23semidirect
333. #66942C23semidirect
334. #66942C23semidirect
335. #66941C23semidirect
336. #66941C23semidirect
337. #66940C23semidirect
338. #66938C23semidirect
339. #66938C23semidirect
341. #66937C23semidirect
342. #66936C23semidirect
343. #66936C23semidirect
344. #66936C23semidirect
349. #66932C23semidirect
350. #66931C23semidirect
351. #66931C23semidirect
352. #66931C23semidirect
353. #66931C23semidirect
553. C2×#537D11semidirect
670. C22×#41C2×D11semidirect
671. C22×#41C2×D11semidirect
695. #537C2×D11semidirect
739. C2×C22⋊Q8C2×D11semidirect
740. C2×C22⋊Q8C2×D11semidirect
741. C2×C22⋊Q8C2×D11semidirect
759. C2×#121C2×D11semidirect
760. C2×#121C2×D11semidirect
761. C2×#121C2×D11semidirect
762. C2×#121C2×D11semidirect
784. C22×C4⋊C4C2×D11semidirect
849. C2×#41C22×D11semidirect
850. C2×#41C22×D11semidirect
941. C22⋊Q8C22×D11semidirect
942. C22⋊Q8C22×D11semidirect
943. C22⋊Q8C22×D11semidirect
960. #121C22×D11semidirect
961. #121C22×D11semidirect
962. #121C22×D11semidirect
963. #121C22×D11semidirect
1009. C2×C4⋊C4C22×D11semidirect
1050. C2×C11#3536semidirect
1235. C11C2×#3536semidirect
1403. C2#13082834direct (N × H)

Maximal subgroups

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

subgroupindex
#130828342
C2×#106231522
C2×#106231662
C2×#106230422
C2×#106231642
C2×#106233622
C2×#106230382
C2×#106231422
C2×#106231432
C2×#106231412
C2×#106233602
C2×#106231652
C2×#106231742
C2×#106231342
C2×#106231692
C2×#106231442
C2×#106231392
C2×#106233642
C2×#106233592
C2×D11×C22⋊Q82
C2×D11×#1212
C2×C11×#5372
C2×#353611