Finite Group Databasebeta

← C2×#13082443 #15661689

Subgroups — C2×#13082443 #15661689

Order 2816.

8082 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#13082443C2132yesmaximal, direct product factor
2C2×#10623089C211yesmaximal, characteristic, complemented
3C2×#10623145C212yesmaximal, complemented
4C2×#10623145C211yesmaximal, characteristic, complemented
5C2×#10623192C212yesmaximal, complemented
6C2×#10623173C211yesmaximal, characteristic, complemented
7C2×#10623072C211yesmaximal, characteristic, complemented
8C2×#10623118C212yesmaximal, complemented
9C2×#10623026C212yesmaximal, complemented
10C2×#10623208C211yesmaximal, characteristic, complemented
11C2×#10623362C211yesmaximal, characteristic, complemented
12C2×#10623337C211yesmaximal, characteristic, complemented
13C2×#10623191C212yesmaximal, complemented
14C2×#10623144C212yesmaximal, complemented
15C2×#10623120C212yesmaximal, complemented
16C2×#10623088C211yesmaximal, characteristic, complemented
17C2×#10623211C211yesmaximal, characteristic, complemented
18C2×#10623137C211yesmaximal, characteristic, complemented
19C2×#10623359C211yesmaximal, characteristic, complemented
20C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
21C22×#66991C211yesmaximal, characteristic, complemented
22C2×#10623017C212yesmaximal, complemented
23C2×C4×D4×D11C211yesmaximal, characteristic, complemented
24C2×C11×#546C211yesmaximal, characteristic, complemented
25C22×C11×#41C2211yescharacteristic, complemented
26C23×D4×C11C2211yescharacteristic, complemented
27C23×C22⋊D11C2212yes—
28C22×Q8×D11C2211yescharacteristic, complemented
29C22×#4341C2211yescharacteristic, complemented
30C22×D4×D11C2211yescharacteristic
31C23×C4×D11C2211yescharacteristic
32C23×C4×D11C2211yescharacteristic, complemented
33C11×#546C22116yescomplemented
34C2×C11×#124C2211yescharacteristic, complemented
35C2×C11×#123C2212yescomplemented
36C2×C11×C22⋊Q8C2211yescharacteristic, complemented
37C2×C11×#121C2211yescharacteristic, complemented
38C2×C11×#121C2212yescomplemented
39C2×C11×#120C2212yes—
40C2×C4×D4×C11C2211yescharacteristic
41C2×C4×D4×C11C2211yescharacteristic, complemented
42C22×C11×C22⋊C4C2212yescomplemented
43C2×#67006C2212yes—
44C22×C22⋊Dic11C2212yescomplemented
45C22×C22⋊Dic11C2212yescomplemented
46#10623362C22116yescomplemented
47#10623359C22116yescomplemented
48C2×#66999C2211yescharacteristic, complemented
49C2×#66999C2211yescharacteristic, complemented
50C2×Q8×Dic11C2211yescharacteristic, complemented
51#10623337C22116yescomplemented
52C2×#66992C2212yescomplemented
53C2×#66991C2211yescharacteristic
54C2×#66991C2211yescharacteristic
55C2×#66991C2212yes—
56C2×#66991C2212yescomplemented
57C2×#66991C2212yescomplemented
58C2×#66991C2212yescomplemented
59C2×#66991C2211yescharacteristic, complemented
60C2×#66991C2211yescharacteristic, complemented
61C2×#66991C2211yescharacteristic, complemented
62C2×#66991C22116yescomplemented
63C2×#66990C2212yescomplemented
64C2×#66990C2212yescomplemented
65C2×#66989C2212yescomplemented
66C2×#66989C2211yescharacteristic, complemented
67C2×#66988C2212yes—
68C2×#66988C2212yescomplemented
69C2×#66988C2212yescomplemented
70C2×#66988C2212yescomplemented
71C2×D4×Dic11C2211yescharacteristic
72C2×D4×Dic11C2212yescomplemented
73C2×D4×Dic11C2211yescharacteristic, complemented
74C2×#66982C2212yescomplemented
75C2×C4×C22⋊D11C2211yescharacteristic
76C2×C4×C22⋊D11C2212yescomplemented
77C2×C4×C22⋊D11C2212yescomplemented
78C2×C4×C22⋊D11C2212yescomplemented
79C2×C4×C22⋊D11C2212yescomplemented
80C2×C4×C22⋊D11C2211yescharacteristic, complemented
81C2×C4×C22⋊D11C2212yescomplemented
82C2×#66979C2212yescomplemented
83C2×#66979C2211yescharacteristic, complemented
84C22×C4⋊Dic11C2211yescharacteristic, complemented
85C2×#66977C2211yescharacteristic, complemented
86C2×#66977C2212yescomplemented
87C2×#66977C2211yescharacteristic, complemented
88#10623211C22116yescomplemented
89#10623208C22116yescomplemented
90#10623192C22132yescomplemented
91#10623191C22132yescomplemented
92#10623173C22116yescomplemented
93D11×C22⋊Q8C22116yescomplemented
94#10623145C22116yescomplemented
95#10623145C22132yescomplemented
96#10623144C22132yescomplemented
97#10623137C22116yescomplemented
98#10623120C22132yescomplemented
99#10623118C22132yescomplemented
100#10623089C22116yescomplemented
101#10623088C22116yescomplemented
102C4×D4×D11C22116yescomplemented
103#10623072C22116yescomplemented
104C2×#66951C2212yescomplemented
105C2×#66950C2211yescharacteristic, complemented
106C2×#66949C2212yescomplemented
107C2×#66946C2211yescharacteristic, complemented
108C2×#66945C2211yescharacteristic, complemented
109C2×C4⋊C4×D11C2212yescomplemented
110C2×C4⋊C4×D11C2211yescharacteristic, complemented
111C2×C4⋊C4×D11C2211yescharacteristic, complemented
112C2×#66943C2211yescharacteristic, complemented
113C2×#66943C2212yescomplemented
114C2×#66942C2212yescomplemented
115#10623026C22132yescomplemented
116C2×#66939C2212yes—
117C2×#66938C2212yescomplemented
118C2×#66937C2212yescomplemented
119C2×#66937C2212yescomplemented
120C2×#66936C2212yescomplemented
121C2×#66936C2212yescomplemented
122C2×#66936C2212yescomplemented
123#10623017C22132yescomplemented
124C2×(C22⋊D11)⋊C4C2211yescharacteristic
125C2×(C22⋊D11)⋊C4C2212yescomplemented
126C2×(C22⋊D11)⋊C4C2212yescomplemented
127C2×(C22⋊D11)⋊C4C2212yescomplemented
128C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
129C2×(C22⋊D11)⋊C4C2212yescomplemented
130C2×C22⋊C4×D11C2212yes—
131C2×C22⋊C4×D11C2211yescharacteristic
132C2×C22⋊C4×D11C2211yescharacteristic, complemented
133C2×#66932C2212yescomplemented
134C2×#66932C2212yescomplemented
135C2×#66932C2212yescomplemented
136C2×#66932C2212yescomplemented
137C2×#66932C2212yescomplemented
138C2×#66931C2212yescomplemented
139C2×#66931C2212yescomplemented
140C2×#66930C2212yescomplemented
141C2×#66930C2212yescomplemented
142C2×#66930C2212yescomplemented
143C2×C4×D44C2211yescharacteristic, complemented
144C2×C42×D11C2211yescharacteristic, complemented
145C2×#66923C2211yescharacteristic, complemented
146C2×C4×Dic22C2211yescharacteristic, complemented
147C25×C11C2312yes—
148C24×D11C2311yescharacteristic
149C24×D11C2311yescharacteristic
150C2×C11×#41—44no—
151C2×C11×#41C2318yescomplemented
152C22×Q8×C11C2311yescharacteristic
153C22×D4×C11—44no—
154C22×D4×C11C2311yescharacteristic
155C22×D4×C11C2311yescharacteristic
156C22×D4×C11C2311yescharacteristic
157C22×D4×C11C2312yes—
158C22×D4×C11C2312yes—
159C22×D4×C11C2312yes—
160C22×D4×C11C2318yescomplemented
161C23×C4×C11C2311yescharacteristic
162C23×C4×C11C2311yescharacteristic
163C23×C4×C11C2312yes—
164C23×C4×C11C2312yes—
165C22×C22⋊D11—216no—
166C22×C22⋊D11C2311yescharacteristic
167C22×C22⋊D11C2312yes—
168C22×C22⋊D11C2312yes—
169C22×C22⋊D11C2311yescharacteristic
170C22×C22⋊D11C23116yes—
171C22×C22⋊D11C2312yes—
172C22×C22⋊D11C2312yes—
173C22×C22⋊D11C2312yes—
174C22×C22⋊D11C2312yes—
175C23×Dic11C2312yes—
176C23×Dic11C2312yes—
177C23×Dic11C2311yescharacteristic
178C23×Dic11C2312yes—
179C23×Dic11C2311yescharacteristic
180C2×Q8×D11—44no—
181C2×Q8×D11C2318yescomplemented
182C2×#4341—44no—
183C2×#4341C2318yescomplemented
184C2×D4×D11—28no—
185C2×D4×D11C2318yes—
186C22×D44C2311yescharacteristic
187C22×C4×D11—44no—
188C22×C4×D11—44no—
189C22×C4×D11C2311yescharacteristic
190C22×C4×D11C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2312yes—
196C22×C4×D11C2312yes—
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2318yes—
201C22×C4×D11C2318yescomplemented
202C22×Dic22C2311yescharacteristic
203C22×Dic22C2312yes—
204C11×#124C2318yescomplemented
205C11×#123C23116yescomplemented
206C11×C22⋊Q8C2318yescomplemented
207C11×#121C2318yescomplemented
208C11×#121C23116yescomplemented
209C11×#120C23116yes—
210C4×D4×C11C2318yes—
211C4×D4×C11C2318yescomplemented
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C4⋊C4C2311yescharacteristic
214C2×C11×C4⋊C4C2312yes—
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2312yes—
217C2×C11×C22⋊C4C2312yes—
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2312yes—
220C2×C11×C22⋊C4C2312yes—
221C2×C11×C22⋊C4C2312yes—
222C2×C11×C22⋊C4C23116yescomplemented
223C2×C42×C11C2311yescharacteristic
224#67006C23116yes—
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2312yes—
227C2×C22⋊Dic11C2312yes—
228C2×C22⋊Dic11C2312yes—
229C2×C22⋊Dic11C2312yes—
230C2×C22⋊Dic11C2312yes—
231C2×C22⋊Dic11C2312yes—
232C2×C22⋊Dic11C2312yes—
233C2×C22⋊Dic11C2312yes—
234C2×C22⋊Dic11C2312yes—
235C2×C22⋊Dic11C2312yes—
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2312yes—
238C2×C22⋊Dic11C23116yescomplemented
239C2×C22⋊Dic11C23116yescomplemented
240#66999C2318yescomplemented
241#66999C2318yescomplemented
242Q8×Dic11C2318yescomplemented
243#66992C23116yescomplemented
244#66991C2318yes—
245#66991C2318yes—
246#66991C23116yes—
247#66991C2318yescomplemented
248#66991C23116yescomplemented
249#66991C2318yescomplemented
250#66991C2318yescomplemented
251#66991C23116yescomplemented
252#66991C23116yescomplemented
253#66990C23116yescomplemented
254#66990C23116yescomplemented
255#66989C2318yescomplemented
256#66989C23116yescomplemented
257#66988C23116yes—
258#66988C23116yescomplemented
259#66988C23116yescomplemented
260#66988C23116yescomplemented
261D4×Dic11C2318yes—
262D4×Dic11C2318yescomplemented
263D4×Dic11C23116yescomplemented
264#66982C23116yescomplemented
265C4×C22⋊D11C2318yes—
266C4×C22⋊D11C23116yescomplemented
267C4×C22⋊D11C23116yescomplemented
268C4×C22⋊D11C23116yescomplemented
269C4×C22⋊D11C23116yescomplemented
270C4×C22⋊D11C23116yescomplemented
271C4×C22⋊D11C2318yescomplemented
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2312yes—
276C2×(C2×D11)⋊C4C2312yes—
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2312yes—
279C2×(C2×D11)⋊C4C2312yes—
280#66979C23116yescomplemented
281#66979C2318yescomplemented
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2312yes—
287C2×C4⋊Dic11C2312yes—
288C2×C4⋊Dic11C2312yes—
289C2×C4⋊Dic11C2312yes—
290C2×C4⋊Dic11C2318yescomplemented
291#66977C23116yescomplemented
292#66977C2318yescomplemented
293#66977C2318yescomplemented
294C2×Dic11⋊C4C2312yes—
295C2×Dic11⋊C4C2312yes—
296C2×Dic11⋊C4C2312yes—
297C2×Dic11⋊C4C2312yes—
298C2×Dic11⋊C4C2312yes—
299C2×Dic11⋊C4C2312yes—
300C2×Dic11⋊C4C2312yes—
301C2×Dic11⋊C4C2312yes—
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2312yes—
304C2×Dic11⋊C4C2311yescharacteristic
305C2×C4×Dic11C2312yes—
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2312yes—
310C2×C4×Dic11C2312yes—
311C2×C4×Dic11C2312yes—
312#66951C23116yescomplemented
313#66950C2318yescomplemented
314#66949C23116yescomplemented
315#66946C2318yescomplemented
316#66945C2318yescomplemented
317C4⋊C4×D11C2318yescomplemented
318C4⋊C4×D11C2318yescomplemented
319C4⋊C4×D11C23116yescomplemented
320#66943C2318yescomplemented
321#66943C23116yescomplemented
322#66942C23116yescomplemented
323#66939C23116yes—
324#66938C23116yescomplemented
325#66937C23116yescomplemented
326#66937C23116yescomplemented
327#66936C23116yescomplemented
328#66936C23116yescomplemented
329#66936C23116yescomplemented
330(C22⋊D11)⋊C4C2318yes—
331(C22⋊D11)⋊C4C23116yescomplemented
332(C22⋊D11)⋊C4C23116yescomplemented
333(C22⋊D11)⋊C4C23116yescomplemented
334(C22⋊D11)⋊C4C23116yescomplemented
335(C22⋊D11)⋊C4C2318yescomplemented
336C22⋊C4×D11C2318yes—
337C22⋊C4×D11C23116yes—
338C22⋊C4×D11C2318yescomplemented
339#66932C23116yescomplemented
340#66932C23116yescomplemented
341#66932C23116yescomplemented
342#66932C23116yescomplemented
343#66932C23116yescomplemented
344#66931C23116yescomplemented
345#66931C23116yescomplemented
346#66930C23116yescomplemented
347#66930C23116yescomplemented
348#66930C23116yescomplemented
349C4×D44C2318yescomplemented
350C42×D11C2318yescomplemented
351#66923C2318yescomplemented
352C4×Dic22C2318yescomplemented
353C2×#3505—111nomaximal, Sylow
354C24×C11—28no—
355C24×C11—44no—
356C24×C11—44no—
357C24×C11C2411yescharacteristic
358C24×C11C2412yes—
359C24×C11C2412yes—
360C24×C11C2411yescharacteristic
361C24×C11C2418yes—
362C23×D11—24no—
363C23×D11—42no—
364C23×D11—42no—
365C23×D11—42no—
366C23×D11—42no—
367C23×D11#4118yescomplemented
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C23×D11C2411yescharacteristic
371C23×D11C2414yes—
372C23×D11C2414yes—
373C11×#41—416no—
374C2×Q8×C11—24no—
375C2×Q8×C11C2414yes—
376C2×D4×C11—24no—
377C2×D4×C11—24no—
378C2×D4×C11—24no—
379C2×D4×C11—416no—
380C2×D4×C11—44no—
381C2×D4×C11—44no—
382C2×D4×C11—44no—
383C2×D4×C11C2414yes—
384C2×D4×C11C2414yes—
385C2×D4×C11C2414yes—
386C2×D4×C11C2418yes—
387C2×D4×C11C2418yes—
388C2×D4×C11C2418yes—
389C22×C4×C11—24no—
390C22×C4×C11—24no—
391C22×C4×C11—44no—
392C22×C4×C11—44no—
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2412yes—
397C22×C4×C11C2412yes—
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2414yes—
400C22×C4×C11C2414yes—
401C22×C4×C11C2418yes—
402C22×C4×C11C2418yes—
403C22×C4×C11C2411yescharacteristic
404C2×C22⋊D11—24no—
405C2×C22⋊D11—24no—
406C2×C22⋊D11—28no—
407C2×C22⋊D11—28no—
408C2×C22⋊D11—28no—
409C2×C22⋊D11—28no—
410C2×C22⋊D11—264no—
411C2×C22⋊D11—44no—
412C2×C22⋊D11—44no—
413C2×C22⋊D11C2414yes—
414C2×C22⋊D11C2418yes—
415C2×C22⋊D11C2418yes—
416C2×C22⋊D11C2414yes—
417C2×C22⋊D11C2418yes—
418C2×C22⋊D11C2418yes—
419C2×C22⋊D11C2418yes—
420C2×C22⋊D11C2418yes—
421C22×Dic11—28no—
422C22×Dic11—42no—
423C22×Dic11—42no—
424C22×Dic11—44no—
425C22×Dic11—44no—
426C22×Dic11C2418yes—
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2412yes—
429C22×Dic11C2412yes—
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2412yes—
434C22×Dic11C2412yes—
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2418yes—
437C22×Dic11C2414yes—
438C22×Dic11C2418yes—
439C22×Dic11C2414yes—
440Q8×D11—416no—
441#4341—416no—
442D4×D11—232no—
443C2×D44—24no—
444C2×D44C2414yes—
445C2×C4×D11—24no—
446C2×C4×D11—24no—
447C2×C4×D11—24no—
448C2×C4×D11—24no—
449C2×C4×D11—42no—
450C2×C4×D11—42no—
451C2×C4×D11—42no—
452C2×C4×D11—42no—
453C2×C4×D11—42no—
454C2×C4×D11—44no—
455C2×C4×D11—44no—
456C2×C4×D11—416no—
457C2×C4×D11—416no—
458C2×C4×D11C2414yes—
459C2×C4×D11C2414yes—
460C2×C4×D11C2414yes—
461C2×C4×D11C2414yes—
462C2×C4×D11C2414yes—
463C2×C4×D11C2414yes—
464C2×C4×D11C2418yes—
465C2×C4×D11C2418yes—
466C2×C4×D11C2414yes—
467C2×C4×D11C2414yes—
468C2×C4×D11C2414yes—
469C2×Dic22—24no—
470C2×Dic22—44no—
471C2×Dic22C2414yes—
472C2×Dic22C2418yes—
473C11×C4⋊C4C2414yes—
474C11×C4⋊C4C2414yes—
475C11×C4⋊C4C2418yes—
476C11×C22⋊C4C2414yes—
477C11×C22⋊C4C2418yes—
478C11×C22⋊C4C2418yes—
479C11×C22⋊C4C2414yes—
480C11×C22⋊C4C2418yes—
481C11×C22⋊C4C2418yes—
482C11×C22⋊C4C2418yes—
483C42×C11C2414yes—
484C22⋊Dic11C2414yes—
485C22⋊Dic11C2418yes—
486C22⋊Dic11C2418yes—
487C22⋊Dic11C2418yes—
488C22⋊Dic11C2418yes—
489C22⋊Dic11C2418yes—
490C22⋊Dic11C2418yes—
491C22⋊Dic11C2418yes—
492C22⋊Dic11C2418yes—
493C22⋊Dic11C2418yes—
494C22⋊Dic11C2418yes—
495C22⋊Dic11C2414yes—
496C22⋊Dic11C2418yes—
497(C2×D11)⋊C4C2414yes—
498(C2×D11)⋊C4C2414yes—
499(C2×D11)⋊C4C2414yes—
500(C2×D11)⋊C4C2418yes—
501(C2×D11)⋊C4C2418yes—
502(C2×D11)⋊C4C2414yes—
503(C2×D11)⋊C4C2418yes—
504(C2×D11)⋊C4C2418yes—
505C4⋊Dic11C2414yes—
506C4⋊Dic11C2414yes—
507C4⋊Dic11C2414yes—
508C4⋊Dic11C2414yes—
509C4⋊Dic11C2418yes—
510C4⋊Dic11C2418yes—
511C4⋊Dic11C2418yes—
512C4⋊Dic11C2418yes—
513Dic11⋊C4C2418yes—
514Dic11⋊C4C2418yes—
515Dic11⋊C4C2418yes—
516Dic11⋊C4C2418yes—
517Dic11⋊C4C2418yes—
518Dic11⋊C4C2418yes—
519Dic11⋊C4C2418yes—
520Dic11⋊C4C2418yes—
521Dic11⋊C4C2414yes—
522Dic11⋊C4C2418yes—
523Dic11⋊C4C2414yes—
524C4×Dic11C2418yes—
525C4×Dic11C2414yes—
526C4×Dic11C2414yes—
527C4×Dic11C2414yes—
528C4×Dic11C2418yes—
529C4×Dic11C2418yes—
530C4×Dic11C2418yes—
531#3505—1132no—
532C2×#553—112no—
533C2×#553—111no—
534C2×#553—112no—
535C2×#553—111no—
536C2×#552—111no—
537C2×#552—111no—
538C2×#551—112no—
539C2×#551—112no—
540C2×#548—111no—
541C2×#548—111no—
542C2×#546—111no—
543C2×#546D1111yescharacteristic, complemented
544C2×#539—112no—
545C2×#538—112no—
546C2×#534—112no—
547C2×#529—111no—
548C2×#529—111no—
549C2×#525—111no—
550C2×#525—111no—
551C22×C22⋊Q8—111no—
552C22×#121—111no—
553C2×#518—112no—
554C22×C4×D4—111no—
555C23×C11—22no—
556C23×C11—22no—
557C23×C11—24no—
558C23×C11—24no—
559C23×C11—22no—
560C23×C11—24no—
561C23×C11—22no—
562C23×C11—24no—
563C23×C11—24no—
564C23×C11—24no—
565C23×C11—22no—
566C23×C11—216no—
567C23×C11—48no—
568C23×C11—48no—
569C23×C11—816no—
570C23×C11C2×#4114yes—
571C23×C11C2512yes—
572C23×C11C2514yes—
573C23×C11C2514yes—
574C23×C11C2512yes—
575C23×C11C2511yescharacteristic
576C22×D11—22no—
577C22×D11—22no—
578C22×D11—22no—
579C22×D11—22no—
580C22×D11—22no—
581C22×D11—22no—
582C22×D11—22no—
583C22×D11—28no—
584C22×D11—44no—
585C22×D11—44no—
586C22×D11—416no—
587C22×D11—44no—
588C22×D11—44no—
589C22×D11—416no—
590C22×D11C2×#4114yes—
591C22×D11C2×#4114yes—
592C22×D11C2×#41116yescomplemented
593C22×D11C2512yes—
594C22×D11C2512yes—
595C22×D11C2512yes—
596Q8×C11—28no—
597D4×C11—28no—
598D4×C11—28no—
599D4×C11—28no—
600D4×C11—48no—
601D4×C11—48no—
602D4×C11—48no—
603C2×C4×C11—22no—
604C2×C4×C11—24no—
605C2×C4×C11—22no—
606C2×C4×C11—22no—
607C2×C4×C11—22no—
608C2×C4×C11—24no—
609C2×C4×C11—28no—
610C2×C4×C11—28no—
611C2×C4×C11—48no—
612C2×C4×C11—48no—
613C2×C4×C11H(5,𝔽2)14yes—
614C2×C4×C11C2512yes—
615C2×C4×C11C2512yes—
616C2×C4×C11C2512yes—
617C2×C4×C11C2514yes—
618C2×C4×C11C2514yes—
619C2×C4×C11C2512yes—
620C2×C4×C11C2512yes—
621C22⋊D11—28no—
622C22⋊D11—28no—
623C22⋊D11—216no—
624C22⋊D11—216no—
625C22⋊D11—216no—
626C22⋊D11—216no—
627C22⋊D11—48no—
628C22⋊D11—48no—
629C2×Dic11—22no—
630C2×Dic11—216no—
631C2×Dic11—24no—
632C2×Dic11—24no—
633C2×Dic11—24no—
634C2×Dic11—22no—
635C2×Dic11—22no—
636C2×Dic11—22no—
637C2×Dic11—22no—
638C2×Dic11—24no—
639C2×Dic11—44no—
640C2×Dic11—44no—
641C2×Dic11—48no—
642C2×Dic11—48no—
643C2×Dic11C2512yes—
644C2×Dic11C2514yes—
645C2×Dic11C2514yes—
646C2×Dic11C2512yes—
647C2×Dic11C2512yes—
648C2×Dic11C2512yes—
649C2×Dic11C2514yes—
650C2×Dic11C2514yes—
651C2×Dic11C2512yes—
652D44—28no—
653C4×D11—28no—
654C4×D11—28no—
655C4×D11—28no—
656C4×D11—28no—
657C4×D11—44no—
658C4×D11—44no—
659C4×D11—44no—
660C4×D11—44no—
661C4×D11—44no—
662C4×D11—48no—
663C4×D11—48no—
664Dic22—28no—
665Dic22—48no—
666C22×#41—111no—
667C22×#41C2×D1111yescharacteristic, complemented
668C23×Q8—111no—
669C23×D4—112no—
670C23×D4—111no—
671C23×D4C2×D1111yescharacteristic, complemented
672C24×C4—111no—
673C24×C4—111no—
674#553—1132no—
675#553—1116no—
676#553—1132no—
677#553—1116no—
678#552—1116no—
679#552—1116no—
680#551—1132no—
681#551—1132no—
682#548—1116no—
683#548—1116no—
684#546—1116no—
685#546C2×D11116yescomplemented
686#539—1132no—
687#538—1132no—
688#534—1132no—
689#529—1116no—
690#529—1116no—
691C2×#126—112no—
692C2×#126—112no—
693C2×#126—112no—
694C2×#126—112no—
695C2×#126—112no—
696C2×#126—112no—
697C2×#125—112no—
698C2×#125—111no—
699C2×#125—112no—
700C2×#125—111no—
701C2×#124—111no—
702C2×#124—112no—
703C2×#124—112no—
704C2×#124C2×D1111yescharacteristic, complemented
705#525—1116no—
706#525—1116no—
707C2×#123—112no—
708C2×#123—112no—
709C2×#123—112no—
710C2×#123—112no—
711C2×#123—112no—
712C2×#123—112no—
713C2×#123—112no—
714C2×#123—112no—
715C2×#123—112no—
716C2×#123C2×D1112yescomplemented
717C2×C22⋊Q8—111no—
718C2×C22⋊Q8—111no—
719C2×C22⋊Q8—111no—
720C2×C22⋊Q8—111no—
721C2×C22⋊Q8—112no—
722C2×C22⋊Q8—1116no—
723C2×C22⋊Q8—112no—
724C2×C22⋊Q8—111no—
725C2×C22⋊Q8—112no—
726C2×C22⋊Q8—112no—
727C2×C22⋊Q8C2×D1111yescharacteristic, complemented
728C2×#121—111no—
729C2×#121—111no—
730C2×#121—112no—
731C2×#121—111no—
732C2×#121—111no—
733C2×#121—112no—
734C2×#121—111no—
735C2×#121—112no—
736C2×#121—112no—
737C2×#121—112no—
738C2×#121—1116no—
739C2×#121—112no—
740C2×#121—112no—
741C2×#121C2×D1111yescharacteristic, complemented
742C2×#121C2×D1112yescomplemented
743C2×#120—112no—
744C2×#120—112no—
745C2×#120—112no—
746C2×#120C2×D1112yes—
747#518—1132no—
748C2×C4×Q8—111no—
749C2×C4×Q8—111no—
750C2×C4×D4—111no—
751C2×C4×D4—112no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×C4×D4—111no—
755C2×C4×D4—112no—
756C2×C4×D4—112no—
757C2×C4×D4—112no—
758C2×C4×D4—112no—
759C2×C4×D4—112no—
760C2×C4×D4—1116no—
761C2×C4×D4—111no—
762C2×C4×D4—111no—
763C2×C4×D4—111no—
764C2×C4×D4—112no—
765C2×C4×D4—112no—
766C2×C4×D4—112no—
767C2×C4×D4—112no—
768C2×C4×D4—111no—
769C2×C4×D4C2×D1111yescharacteristic
770C2×C4×D4C2×D1111yescharacteristic, complemented
771C2×#117—111no—
772C2×#117—112no—
773C2×#117—111no—
774C2×#117—112no—
775C2×#117—112no—
776C2×#117—112no—
777C22×C4⋊C4—111no—
778C22×C4⋊C4—111no—
779C22×C4⋊C4—111no—
780C22×C4⋊C4—112no—
781C22×C22⋊C4—112no—
782C22×C22⋊C4—112no—
783C22×C22⋊C4—111no—
784C22×C22⋊C4—112no—
785C22×C22⋊C4—111no—
786C22×C22⋊C4C2×D1112yescomplemented
787C22×C42—111no—
788C22×C11—22no—
789C22×C11—22no—
790C22×C11—28no—
791C22×C11—22no—
792C22×C11—24no—
793C22×C11—24no—
794C22×C11—22no—
795C22×C11—24no—
796C22×C11—24no—
797C22×C11—24no—
798C22×C11—22no—
799C22×C11—24no—
800C22×C11—44no—
801C22×C11—48no—
802C22×C11—48no—
803C22×C11—816no—
804C22×C11C22×#4114yes—
805C22×C11C22×#4112yes—
806C22×C11C2×H(5,𝔽2)12yes—
807C22×C11#58512yes—
808C22×C11C2611yescharacteristic
809C2×D11—22no—
810C2×D11—22no—
811C2×D11—22no—
812C2×D11—22no—
813C2×D11—28no—
814C2×D11—28no—
815C2×D11—22no—
816C2×D11—22no—
817C2×D11—22no—
818C2×D11—416no—
819C2×D11—416no—
820C2×D11—44no—
821C2×D11C22×#4114yes—
822C2×D11C22×#4114yes—
823C4×C11—22no—
824C4×C11—22no—
825C4×C11—22no—
826C4×C11—24no—
827C4×C11—22no—
828C4×C11—24no—
829C4×C11C2×H(5,𝔽2)14yes—
830Dic11—22no—
831Dic11—24no—
832Dic11—24no—
833Dic11—24no—
834Dic11—22no—
835Dic11—22no—
836Dic11—22no—
837Dic11—22no—
838Dic11—24no—
839C25—111no—
840C25—111no—
841C25C22×D1112yes—
842C2×#41—44no—
843C2×#41—118no—
844C2×#41—444no—
845C2×#41C22×D1118yescomplemented
846C22×Q8—118no—
847C22×Q8—111no—
848C22×Q8—112no—
849C22×Q8—444no—
850C22×Q8C22×D1111yescharacteristic
851C22×D4—44no—
852C22×D4—111no—
853C22×D4—112no—
854C22×D4—112no—
855C22×D4—111no—
856C22×D4—112no—
857C22×D4—112no—
858C22×D4—1116no—
859C22×D4—112no—
860C22×D4—112no—
861C22×D4—118no—
862C22×D4—111no—
863C22×D4—228no—
864C22×D4—2216no—
865C22×D4C22×D1111yescharacteristic
866C22×D4C22×D1111yescharacteristic
867C22×D4C22×D1111yescharacteristic
868C22×D4C22×D1112yes—
869C22×D4C22×D1112yes—
870C22×D4C22×D1112yes—
871C22×D4C22×D1118yescomplemented
872C23×C4—112no—
873C23×C4—111no—
874C23×C4—112no—
875C23×C4—112no—
876C23×C4—111no—
877C23×C4—111no—
878C23×C4—111no—
879C23×C4—111no—
880C23×C4—111no—
881C23×C4—111no—
882C23×C4—112no—
883C23×C4—111no—
884C23×C4—112no—
885C23×C4—111no—
886C23×C4—111no—
887C23×C4—111no—
888C23×C4—118no—
889C23×C4—118no—
890C23×C4—444no—
891C23×C4—444no—
892C23×C4C22×D1111yescharacteristic
893C23×C4C22×D1111yescharacteristic
894C23×C4C22×D1112yes—
895C23×C4C22×D1112yes—
896#126—1116no—
897#126—1116no—
898#126—1116no—
899#126—1116no—
900#126—1116no—
901#126—1116no—
902#125—118no—
903#125—1116no—
904#125—1116no—
905#125—118no—
906#124—118no—
907#124—1116no—
908#124—1116no—
909#124C22×D1118yescomplemented
910#123—1116no—
911#123—1116no—
912#123—1116no—
913#123—1116no—
914#123—1116no—
915#123—1116no—
916#123—1116no—
917#123—1116no—
918#123—1116no—
919#123C22×D11116yescomplemented
920C22⋊Q8—118no—
921C22⋊Q8—118no—
922C22⋊Q8—118no—
923C22⋊Q8—118no—
924C22⋊Q8—1116no—
925C22⋊Q8—118no—
926C22⋊Q8—1116no—
927C22⋊Q8—1116no—
928C22⋊Q8—1116no—
929C22⋊Q8C22×D1118yescomplemented
930#121—118no—
931#121—118no—
932#121—1116no—
933#121—118no—
934#121—118no—
935#121—1116no—
936#121—118no—
937#121—1116no—
938#121—1116no—
939#121—1116no—
940#121—1116no—
941#121—1116no—
942#121C22×D1118yescomplemented
943#121C22×D11116yescomplemented
944#120—1116no—
945#120—1116no—
946#120—1116no—
947#120C22×D11116yes—
948C4×Q8—118no—
949C4×Q8—118no—
950C4×D4—118no—
951C4×D4—1116no—
952C4×D4—118no—
953C4×D4—118no—
954C4×D4—118no—
955C4×D4—1116no—
956C4×D4—1116no—
957C4×D4—1116no—
958C4×D4—1116no—
959C4×D4—1116no—
960C4×D4—118no—
961C4×D4—118no—
962C4×D4—118no—
963C4×D4—1116no—
964C4×D4—1116no—
965C4×D4—1116no—
966C4×D4—1116no—
967C4×D4—118no—
968C4×D4C22×D1118yes—
969C4×D4C22×D1118yescomplemented
970#117—118no—
971#117—1116no—
972#117—118no—
973#117—1116no—
974#117—1116no—
975#117—1116no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—112no—
978C2×C4⋊C4—112no—
979C2×C4⋊C4—111no—
980C2×C4⋊C4—111no—
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—112no—
993C2×C4⋊C4—112no—
994C2×C4⋊C4—112no—
995C2×C4⋊C4—112no—
996C2×C4⋊C4—118no—
997C2×C4⋊C4—118no—
998C2×C4⋊C4—1116no—
999C2×C4⋊C4C22×D1111yescharacteristic
1000C2×C4⋊C4C22×D1111yescharacteristic
1001C2×C4⋊C4C22×D1112yes—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—112no—
1004C2×C22⋊C4—112no—
1005C2×C22⋊C4—112no—
1006C2×C22⋊C4—112no—
1007C2×C22⋊C4—112no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—1116no—
1010C2×C22⋊C4—112no—
1011C2×C22⋊C4—112no—
1012C2×C22⋊C4—1116no—
1013C2×C22⋊C4—112no—
1014C2×C22⋊C4—112no—
1015C2×C22⋊C4—112no—
1016C2×C22⋊C4—112no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—112no—
1020C2×C22⋊C4—112no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—112no—
1024C2×C22⋊C4—112no—
1025C2×C22⋊C4—118no—
1026C2×C22⋊C4—118no—
1027C2×C22⋊C4—1116no—
1028C2×C22⋊C4C22×D1111yescharacteristic
1029C2×C22⋊C4C22×D1112yes—
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C22⋊C4C22×D1112yes—
1032C2×C22⋊C4C22×D1112yes—
1033C2×C22⋊C4C22×D1112yes—
1034C2×C22⋊C4C22×D1112yes—
1035C2×C22⋊C4C22×D11116yescomplemented
1036C2×C42—112no—
1037C2×C42—112no—
1038C2×C42—112no—
1039C2×C42—112no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42—118no—
1044C2×C42C22×D1111yescharacteristic
1045C2×C11—24no—
1046C2×C11—42no—
1047C2×C11—44no—
1048C2×C11—44no—
1049C2×C11#350514yescomplemented
1050C2×C11C23×#4111yescharacteristic
1051C2×C11C22×H(5,𝔽2)11yescharacteristic
1052C2×C11C2×#58511yescharacteristic
1053D11—24no—
1054D11—24no—
1055D11—42no—
1056C24—28no—
1057C24—44no—
1058C24—44no—
1059C24—111no—
1060C24—111no—
1061C24—118no—
1062C24—114no—
1063C24—111no—
1064C24—114no—
1065C24—224no—
1066C24—442no—
1067C24—442no—
1068C24—442no—
1069C24—442no—
1070C24C23×D1111yescharacteristic
1071C24C23×D1112yes—
1072C24C23×D1112yes—
1073C24C23×D1111yescharacteristic
1074C24C23×D1118yes—
1075#41—416no—
1076#41—4416no—
1077C2×Q8—24no—
1078C2×Q8—114no—
1079C2×Q8—118no—
1080C2×Q8—224no—
1081C2×Q8—444no—
1082C2×Q8—4416no—
1083C2×Q8C23×D1114yes—
1084C2×D4—24no—
1085C2×D4—24no—
1086C2×D4—24no—
1087C2×D4—416no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—114no—
1092C2×D4—118no—
1093C2×D4—118no—
1094C2×D4—114no—
1095C2×D4—118no—
1096C2×D4—118no—
1097C2×D4—118no—
1098C2×D4—118no—
1099C2×D4—114no—
1100C2×D4—224no—
1101C2×D4—2232no—
1102C2×D4—224no—
1103C2×D4—228no—
1104C2×D4—228no—
1105C2×D4—228no—
1106C2×D4—228no—
1107C2×D4—2264no—
1108C2×D4—224no—
1109C2×D4—444no—
1110C2×D4—444no—
1111C2×D4C23×D1114yes—
1112C2×D4C23×D1114yes—
1113C2×D4C23×D1114yes—
1114C2×D4C23×D1118yes—
1115C2×D4C23×D1118yes—
1116C2×D4C23×D1118yes—
1117C22×C4—24no—
1118C22×C4—24no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—118no—
1122C22×C4—111no—
1123C22×C4—112no—
1124C22×C4—112no—
1125C22×C4—111no—
1126C22×C4—111no—
1127C22×C4—111no—
1128C22×C4—112no—
1129C22×C4—112no—
1130C22×C4—111no—
1131C22×C4—114no—
1132C22×C4—118no—
1133C22×C4—118no—
1134C22×C4—114no—
1135C22×C4—114no—
1136C22×C4—114no—
1137C22×C4—114no—
1138C22×C4—114no—
1139C22×C4—114no—
1140C22×C4—118no—
1141C22×C4—114no—
1142C22×C4—118no—
1143C22×C4—114no—
1144C22×C4—114no—
1145C22×C4—114no—
1146C22×C4—224no—
1147C22×C4—228no—
1148C22×C4—224no—
1149C22×C4—224no—
1150C22×C4—224no—
1151C22×C4—4416no—
1152C22×C4—4416no—
1153C22×C4—442no—
1154C22×C4—442no—
1155C22×C4—442no—
1156C22×C4—442no—
1157C22×C4—444no—
1158C22×C4—442no—
1159C22×C4—444no—
1160C22×C4—442no—
1161C22×C4—442no—
1162C22×C4—444no—
1163C22×C4—444no—
1164C22×C4C23×D1114yes—
1165C22×C4C23×D1114yes—
1166C22×C4C23×D1111yescharacteristic
1167C22×C4C23×D1111yescharacteristic
1168C22×C4C23×D1111yescharacteristic
1169C22×C4C23×D1112yes—
1170C22×C4C23×D1112yes—
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1118yes—
1173C22×C4C23×D1118yes—
1174C22×C4C23×D1111yescharacteristic
1175C4⋊C4—114no—
1176C4⋊C4—118no—
1177C4⋊C4—118no—
1178C4⋊C4—114no—
1179C4⋊C4—114no—
1180C4⋊C4—114no—
1181C4⋊C4—114no—
1182C4⋊C4—114no—
1183C4⋊C4—118no—
1184C4⋊C4—118no—
1185C4⋊C4—118no—
1186C4⋊C4—118no—
1187C4⋊C4—118no—
1188C4⋊C4—118no—
1189C4⋊C4—118no—
1190C4⋊C4—118no—
1191C4⋊C4—118no—
1192C4⋊C4—118no—
1193C4⋊C4—118no—
1194C4⋊C4C23×D1114yes—
1195C4⋊C4C23×D1114yes—
1196C4⋊C4C23×D1118yes—
1197C22⋊C4—114no—
1198C22⋊C4—118no—
1199C22⋊C4—118no—
1200C22⋊C4—118no—
1201C22⋊C4—118no—
1202C22⋊C4—118no—
1203C22⋊C4—114no—
1204C22⋊C4—118no—
1205C22⋊C4—118no—
1206C22⋊C4—118no—
1207C22⋊C4—118no—
1208C22⋊C4—118no—
1209C22⋊C4—118no—
1210C22⋊C4—114no—
1211C22⋊C4—114no—
1212C22⋊C4—118no—
1213C22⋊C4—118no—
1214C22⋊C4—114no—
1215C22⋊C4—114no—
1216C22⋊C4—118no—
1217C22⋊C4—118no—
1218C22⋊C4C23×D1114yes—
1219C22⋊C4C23×D1118yes—
1220C22⋊C4C23×D1114yes—
1221C22⋊C4C23×D1118yes—
1222C22⋊C4C23×D1118yes—
1223C22⋊C4C23×D1118yes—
1224C22⋊C4C23×D1118yes—
1225C42—114no—
1226C42—114no—
1227C42—114no—
1228C42—118no—
1229C42—118no—
1230C42—118no—
1231C42—118no—
1232C42C23×D1114yes—
1233C11C2×#350511yescharacteristic, complemented, Sylow
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—24no—
1238C23—24no—
1239C23—22no—
1240C23—24no—
1241C23—24no—
1242C23—24no—
1243C23—24no—
1244C23—22no—
1245C23—216no—
1246C23—48no—
1247C23—48no—
1248C23—816no—
1249C23—114no—
1250C23—114no—
1251C23—112no—
1252C23—112no—
1253C23—1116no—
1254C23—112no—
1255C23—228no—
1256C23—222no—
1257C23—222no—
1258C23—222no—
1259C23—222no—
1260C23—222no—
1261C23—222no—
1262C23—222no—
1263C23—444no—
1264C23—444no—
1265C23—444no—
1266C23—4416no—
1267C23—444no—
1268C23—4416no—
1269C23#41×D1114yes—
1270C23C24×D1112yes—
1271C23C24×D1114yes—
1272C23C24×D1114yes—
1273C23C24×D1112yes—
1274C23C24×D1111yescharacteristic
1275Q8—28no—
1276Q8—228no—
1277Q8—448no—
1278D4—28no—
1279D4—28no—
1280D4—28no—
1281D4—48no—
1282D4—48no—
1283D4—48no—
1284D4—228no—
1285D4—228no—
1286D4—2216no—
1287D4—2216no—
1288D4—2216no—
1289D4—2216no—
1290D4—228no—
1291D4—448no—
1292D4—448no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—24no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—24no—
1299C2×C4—28no—
1300C2×C4—28no—
1301C2×C4—48no—
1302C2×C4—48no—
1303C2×C4—112no—
1304C2×C4—112no—
1305C2×C4—114no—
1306C2×C4—114no—
1307C2×C4—112no—
1308C2×C4—112no—
1309C2×C4—114no—
1310C2×C4—114no—
1311C2×C4—112no—
1312C2×C4—228no—
1313C2×C4—222no—
1314C2×C4—222no—
1315C2×C4—222no—
1316C2×C4—224no—
1317C2×C4—2216no—
1318C2×C4—222no—
1319C2×C4—224no—
1320C2×C4—224no—
1321C2×C4—222no—
1322C2×C4—224no—
1323C2×C4—228no—
1324C2×C4—228no—
1325C2×C4—228no—
1326C2×C4—444no—
1327C2×C4—444no—
1328C2×C4—444no—
1329C2×C4—444no—
1330C2×C4—448no—
1331C2×C4—444no—
1332C2×C4—448no—
1333C2×C4—444no—
1334C2×C4—444no—
1335C2×C4—448no—
1336C2×C4—448no—
1337C2×C4#6703714yes—
1338C2×C4C24×D1112yes—
1339C2×C4C24×D1112yes—
1340C2×C4C24×D1112yes—
1341C2×C4C24×D1114yes—
1342C2×C4C24×D1114yes—
1343C2×C4C24×D1112yes—
1344C2×C4C24×D1112yes—
1345C22—22no—
1346C22—22no—
1347C22—28no—
1348C22—22no—
1349C22—24no—
1350C22—24no—
1351C22—22no—
1352C22—24no—
1353C22—24no—
1354C22—24no—
1355C22—24no—
1356C22—22no—
1357C22—48no—
1358C22—48no—
1359C22—44no—
1360C22—816no—
1361C22—114no—
1362C22—114no—
1363C22—222no—
1364C22—222no—
1365C22—222no—
1366C22—222no—
1367C22—228no—
1368C22—228no—
1369C22—222no—
1370C22—222no—
1371C22—222no—
1372C22—4416no—
1373C22—4416no—
1374C22—444no—
1375C22C2×#6703712yes—
1376C22C2×#41×D1114yes—
1377C22C2×#41×D1112yes—
1378C22#1062345512yes—
1379C22C25×D1111yescharacteristic
1380C4—22no—
1381C4—22no—
1382C4—22no—
1383C4—24no—
1384C4—22no—
1385C4—24no—
1386C4—222no—
1387C4—224no—
1388C4—224no—
1389C4—222no—
1390C4—222no—
1391C4—222no—
1392C4—224no—
1393C4—222no—
1394C4—224no—
1395C4C2×#6703714yes—
1396C2—24no—
1397C2—44no—
1398C2—44no—
1399C2—42no—
1400C2—224no—
1401C2—224no—
1402C2—442no—
1403C2#1308244314yesdirect product factor
1404C2C22×#41×D1111yescharacteristic
1405C2C22×#6703711yescharacteristic
1406C2C2×#1062345511yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#546C2
socleC23×C11C25
hypercenterC2×#546D11
hypocenterC11C2×#3505
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. #13082443C2direct (N × H)
2. C2×#10623089C2semidirect
3. C2×#10623145C2semidirect
4. C2×#10623145C2semidirect
5. C2×#10623192C2semidirect
6. C2×#10623173C2semidirect
7. C2×#10623072C2semidirect
8. C2×#10623118C2semidirect
9. C2×#10623026C2semidirect
10. C2×#10623208C2semidirect
11. C2×#10623362C2semidirect
12. C2×#10623337C2semidirect
13. C2×#10623191C2semidirect
14. C2×#10623144C2semidirect
15. C2×#10623120C2semidirect
16. C2×#10623088C2semidirect
17. C2×#10623211C2semidirect
18. C2×#10623137C2semidirect
19. C2×#10623359C2semidirect
20. C2×D11×C22⋊Q8C2semidirect
21. C22×#66991C2semidirect
22. C2×#10623017C2semidirect
23. C2×C4×D4×D11C2semidirect
24. C2×C11×#546C2semidirect
25. C22×C11×#41C22semidirect
26. C23×D4×C11C22semidirect
28. C22×Q8×D11C22semidirect
29. C22×#4341C22semidirect
32. C23×C4×D11C22semidirect
33. C11×#546C22semidirect
34. C2×C11×#124C22semidirect
35. C2×C11×#123C22semidirect
36. C2×C11×C22⋊Q8C22semidirect
37. C2×C11×#121C22semidirect
38. C2×C11×#121C22semidirect
41. C2×C4×D4×C11C22semidirect
42. C22×C11×C22⋊C4C22semidirect
44. C22×C22⋊Dic11C22semidirect
45. C22×C22⋊Dic11C22semidirect
46. #10623362C22semidirect
47. #10623359C22semidirect
48. C2×#66999C22semidirect
49. C2×#66999C22semidirect
50. C2×Q8×Dic11C22semidirect
51. #10623337C22semidirect
52. C2×#66992C22semidirect
56. C2×#66991C22semidirect
57. C2×#66991C22semidirect
58. C2×#66991C22semidirect
59. C2×#66991C22semidirect
60. C2×#66991C22semidirect
61. C2×#66991C22semidirect
62. C2×#66991C22semidirect
63. C2×#66990C22semidirect
64. C2×#66990C22semidirect
65. C2×#66989C22semidirect
66. C2×#66989C22semidirect
68. C2×#66988C22semidirect
69. C2×#66988C22semidirect
70. C2×#66988C22semidirect
72. C2×D4×Dic11C22semidirect
73. C2×D4×Dic11C22semidirect
74. C2×#66982C22semidirect
76. C2×C4×C22⋊D11C22semidirect
77. C2×C4×C22⋊D11C22semidirect
78. C2×C4×C22⋊D11C22semidirect
79. C2×C4×C22⋊D11C22semidirect
80. C2×C4×C22⋊D11C22semidirect
81. C2×C4×C22⋊D11C22semidirect
82. C2×#66979C22semidirect
83. C2×#66979C22semidirect
84. C22×C4⋊Dic11C22semidirect
85. C2×#66977C22semidirect
86. C2×#66977C22semidirect
87. C2×#66977C22semidirect
88. #10623211C22semidirect
89. #10623208C22semidirect
90. #10623192C22semidirect
91. #10623191C22semidirect
92. #10623173C22semidirect
93. D11×C22⋊Q8C22semidirect
94. #10623145C22semidirect
95. #10623145C22semidirect
96. #10623144C22semidirect
97. #10623137C22semidirect
98. #10623120C22semidirect
99. #10623118C22semidirect
100. #10623089C22semidirect
101. #10623088C22semidirect
102. C4×D4×D11C22semidirect
103. #10623072C22semidirect
104. C2×#66951C22semidirect
105. C2×#66950C22semidirect
106. C2×#66949C22semidirect
107. C2×#66946C22semidirect
108. C2×#66945C22semidirect
109. C2×C4⋊C4×D11C22semidirect
110. C2×C4⋊C4×D11C22semidirect
111. C2×C4⋊C4×D11C22semidirect
112. C2×#66943C22semidirect
113. C2×#66943C22semidirect
114. C2×#66942C22semidirect
115. #10623026C22semidirect
117. C2×#66938C22semidirect
118. C2×#66937C22semidirect
119. C2×#66937C22semidirect
120. C2×#66936C22semidirect
121. C2×#66936C22semidirect
122. C2×#66936C22semidirect
123. #10623017C22semidirect
125. C2×(C22⋊D11)⋊C4C22semidirect
126. C2×(C22⋊D11)⋊C4C22semidirect
127. C2×(C22⋊D11)⋊C4C22semidirect
128. C2×(C22⋊D11)⋊C4C22semidirect
129. C2×(C22⋊D11)⋊C4C22semidirect
132. C2×C22⋊C4×D11C22semidirect
133. C2×#66932C22semidirect
134. C2×#66932C22semidirect
135. C2×#66932C22semidirect
136. C2×#66932C22semidirect
137. C2×#66932C22semidirect
138. C2×#66931C22semidirect
139. C2×#66931C22semidirect
140. C2×#66930C22semidirect
141. C2×#66930C22semidirect
142. C2×#66930C22semidirect
143. C2×C4×D44C22semidirect
144. C2×C42×D11C22semidirect
145. C2×#66923C22semidirect
146. C2×C4×Dic22C22semidirect
151. C2×C11×#41C23semidirect
160. C22×D4×C11C23semidirect
181. C2×Q8×D11C23semidirect
183. C2×#4341C23semidirect
201. C22×C4×D11C23semidirect
204. C11×#124C23semidirect
205. C11×#123C23semidirect
206. C11×C22⋊Q8C23semidirect
207. C11×#121C23semidirect
208. C11×#121C23semidirect
211. C4×D4×C11C23semidirect
222. C2×C11×C22⋊C4C23semidirect
238. C2×C22⋊Dic11C23semidirect
239. C2×C22⋊Dic11C23semidirect
240. #66999C23semidirect
241. #66999C23semidirect
242. Q8×Dic11C23semidirect
243. #66992C23semidirect
247. #66991C23semidirect
248. #66991C23semidirect
249. #66991C23semidirect
250. #66991C23semidirect
251. #66991C23semidirect
252. #66991C23semidirect
253. #66990C23semidirect
254. #66990C23semidirect
255. #66989C23semidirect
256. #66989C23semidirect
258. #66988C23semidirect
259. #66988C23semidirect
260. #66988C23semidirect
262. D4×Dic11C23semidirect
263. D4×Dic11C23semidirect
264. #66982C23semidirect
266. C4×C22⋊D11C23semidirect
267. C4×C22⋊D11C23semidirect
268. C4×C22⋊D11C23semidirect
269. C4×C22⋊D11C23semidirect
270. C4×C22⋊D11C23semidirect
271. C4×C22⋊D11C23semidirect
280. #66979C23semidirect
281. #66979C23semidirect
290. C2×C4⋊Dic11C23semidirect
291. #66977C23semidirect
292. #66977C23semidirect
293. #66977C23semidirect
312. #66951C23semidirect
313. #66950C23semidirect
314. #66949C23semidirect
315. #66946C23semidirect
316. #66945C23semidirect
317. C4⋊C4×D11C23semidirect
318. C4⋊C4×D11C23semidirect
319. C4⋊C4×D11C23semidirect
320. #66943C23semidirect
321. #66943C23semidirect
322. #66942C23semidirect
324. #66938C23semidirect
325. #66937C23semidirect
326. #66937C23semidirect
327. #66936C23semidirect
328. #66936C23semidirect
329. #66936C23semidirect
331. (C22⋊D11)⋊C4C23semidirect
332. (C22⋊D11)⋊C4C23semidirect
333. (C22⋊D11)⋊C4C23semidirect
334. (C22⋊D11)⋊C4C23semidirect
335. (C22⋊D11)⋊C4C23semidirect
338. C22⋊C4×D11C23semidirect
339. #66932C23semidirect
340. #66932C23semidirect
341. #66932C23semidirect
342. #66932C23semidirect
343. #66932C23semidirect
344. #66931C23semidirect
345. #66931C23semidirect
346. #66930C23semidirect
347. #66930C23semidirect
348. #66930C23semidirect
349. C4×D44C23semidirect
350. C42×D11C23semidirect
351. #66923C23semidirect
352. C4×Dic22C23semidirect
367. C23×D11#41semidirect
543. C2×#546D11semidirect
592. C22×D11C2×#41semidirect
667. C22×#41C2×D11semidirect
671. C23×D4C2×D11semidirect
685. #546C2×D11semidirect
704. C2×#124C2×D11semidirect
716. C2×#123C2×D11semidirect
727. C2×C22⋊Q8C2×D11semidirect
741. C2×#121C2×D11semidirect
742. C2×#121C2×D11semidirect
770. C2×C4×D4C2×D11semidirect
786. C22×C22⋊C4C2×D11semidirect
845. C2×#41C22×D11semidirect
871. C22×D4C22×D11semidirect
909. #124C22×D11semidirect
919. #123C22×D11semidirect
929. C22⋊Q8C22×D11semidirect
942. #121C22×D11semidirect
943. #121C22×D11semidirect
969. C4×D4C22×D11semidirect
1035. C2×C22⋊C4C22×D11semidirect
1049. C2×C11#3505semidirect
1233. C11C2×#3505semidirect
1403. C2#13082443direct (N × H)

Maximal subgroups

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

subgroupindex
#130824432
C2×#106230892
C2×#106231452
C2×#106231922
C2×#106231732
C2×#106230722
C2×#106231182
C2×#106230262
C2×#106232082
C2×#106233622
C2×#106233372
C2×#106231912
C2×#106231442
C2×#106231202
C2×#106230882
C2×#106232112
C2×#106231372
C2×#106233592
C2×D11×C22⋊Q82
C22×#669912
C2×#106230172
C2×C4×D4×D112
C2×C11×#5462
C2×#350511