Finite Group Databasebeta

← C2×#13082841 #15661000

Subgroups — C2×#13082841 #15661000

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#13082841C2132yesmaximal, direct product factor
2C2×#10623198C212yesmaximal, complemented
3C2×#10623215C212yesmaximal, complemented
4C2×#10623261C211yesmaximal, characteristic, complemented
5C2×#10623110C211yesmaximal, characteristic, complemented
6C2×#10623107C211yesmaximal, characteristic, complemented
7C2×#10623208C211yesmaximal, characteristic, complemented
8C2×#10623082C211yesmaximal, characteristic, complemented
9C2×#10623257C211yesmaximal, characteristic, complemented
10C2×#10623085C211yesmaximal, characteristic, complemented
11C2×#10623207C211yesmaximal, characteristic, complemented
12C2×#10623207C212yesmaximal, complemented
13C2×#10623185C212yesmaximal, complemented
14C2×#10623165C212yesmaximal, complemented
15C2×#10623065C211yesmaximal, characteristic, complemented
16C2×#10623238C212yesmaximal, complemented
17C2×#10623235C212yesmaximal, complemented
18C2×#10623160C212yesmaximal, complemented
19C2×#10623160C211yesmaximal, characteristic, complemented
20C2×#10623139C211yesmaximal, characteristic, complemented
21C2×#10623055C211yesmaximal, characteristic, complemented
22C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
23C2×D11×#121C211yesmaximal, characteristic, complemented
24C2×C11×#542C211yesmaximal, characteristic, complemented
25C22×#4343C2212yescomplemented
26C22×#4343C2211yescharacteristic, complemented
27C22×Q8×D11C2211yescharacteristic, complemented
28C22×#4341C2211yescharacteristic, complemented
29C22×D4×D11C2212yes—
30C22×D4×D11C2211yescharacteristic
31C22×#4339C2211yescharacteristic, complemented
32C22×#4339C2212yescomplemented
33C23×C4×D11C2211yescharacteristic
34C11×#542C22116yescomplemented
35C2×C11×C4⋊Q8C2211yescharacteristic, complemented
36C2×C11×#126C2212yescomplemented
37C2×C11×#124C2212yescomplemented
38C2×C11×#124C2211yescharacteristic, complemented
39C2×C11×#123C2212yescomplemented
40C2×C11×C22⋊Q8C2212yescomplemented
41C2×C11×C22⋊Q8C2211yescharacteristic, complemented
42C2×C11×#121C2211yescharacteristic
43C2×C4×Q8×C11C2211yescharacteristic, complemented
44C2×C4×D4×C11C2211yescharacteristic, complemented
45C2×C11×#117C2211yescharacteristic, complemented
46C2×#66999C2211yescharacteristic
47C2×#66999C2212yes—
48C2×#66999C2211yescharacteristic, complemented
49C2×#66999C2212yescomplemented
50C2×#66999C2212yescomplemented
51C2×#66992C2212yes—
52C2×#66992C2212yescomplemented
53C2×#66991C2211yescharacteristic
54C2×#66991C2212yescomplemented
55C2×#66991C2211yescharacteristic, complemented
56C2×#66983C2211yescharacteristic
57C2×#66983C2212yescomplemented
58C22×(C2×D11)⋊C4C2212yes—
59C2×#66977C2211yescharacteristic, complemented
60C2×#66977C2212yescomplemented
61#10623261C22116yescomplemented
62#10623257C22116yescomplemented
63#10623238C22132yescomplemented
64#10623235C22132yescomplemented
65#10623215C22132yescomplemented
66#10623208C22116yescomplemented
67#10623207C22132yescomplemented
68#10623207C22116yescomplemented
69#10623198C22132yescomplemented
70#10623185C22132yescomplemented
71#10623165C22132yescomplemented
72#10623160C22132yescomplemented
73#10623160C22116yescomplemented
74D11×C22⋊Q8C22116yescomplemented
75#10623139C22116yescomplemented
76D11×#121C22116yescomplemented
77#10623110C22116yescomplemented
78#10623107C22116yescomplemented
79#10623085C22116yescomplemented
80#10623082C22116yescomplemented
81#10623065C22116yescomplemented
82#10623055C22116yescomplemented
83C2×#66951C2212yescomplemented
84C2×#66950C2211yescharacteristic
85C2×#66950C2211yescharacteristic
86C2×#66950C2211yescharacteristic, complemented
87C2×#66950C2211yescharacteristic, complemented
88C2×#66950C2212yescomplemented
89C2×#66949C2212yes—
90C2×#66949C2212yes—
91C2×#66949C2212yescomplemented
92C2×#66949C2212yescomplemented
93C2×#66949C2212yescomplemented
94C2×#66948C2211yescharacteristic
95C2×#66948C2211yescharacteristic
96C2×#66948C2211yescharacteristic, complemented
97C2×#66948C2212yescomplemented
98C2×#66948C2212yescomplemented
99C2×#66948C2211yescharacteristic, complemented
100C2×#66947C2212yescomplemented
101C2×#66947C2212yescomplemented
102C2×#66946C2212yes—
103C2×C4⋊C4×D11C2211yescharacteristic
104C2×C4⋊C4×D11C2211yescharacteristic, complemented
105C2×C4⋊C4×D11C2211yescharacteristic, complemented
106C2×C4⋊C4×D11C2212yescomplemented
107C2×C4⋊C4×D11C2211yescharacteristic, complemented
108C2×#66943C2212yescomplemented
109C2×#66939C2211yescharacteristic, complemented
110C2×#66939C2211yescharacteristic, complemented
111C2×#66939C2212yescomplemented
112C2×#66938C2212yescomplemented
113C2×#66938C2212yescomplemented
114C2×#66937C2212yes—
115C2×#66937C2212yescomplemented
116C2×#66937C2212yescomplemented
117C2×#66937C2212yescomplemented
118C2×#66937C2212yescomplemented
119C2×#66937C2212yescomplemented
120C2×#66936C2212yescomplemented
121C2×#66936C2212yescomplemented
122C2×#66936C2212yescomplemented
123C2×#66936C2212yescomplemented
124C2×#66935C2211yescharacteristic
125C2×#66935C2211yescharacteristic
126C2×#66935C2212yes—
127C2×#66935C2212yes—
128C2×(C22⋊D11)⋊C4C2212yescomplemented
129C2×C22⋊C4×D11C2212yes—
130C2×C22⋊C4×D11C2212yes—
131C2×C22⋊C4×D11C2212yes—
132C2×#66931C2212yescomplemented
133C2×#66931C2212yescomplemented
134C2×#66931C2212yescomplemented
135C2×#66928C2212yescomplemented
136C2×#66928C2211yescharacteristic, complemented
137C2×C4×D44C2211yescharacteristic
138C2×C4×D44C2211yescharacteristic
139C2×C4×D44C2212yes—
140C2×C4×D44C2211yescharacteristic, complemented
141C2×C4×D44C2211yescharacteristic, complemented
142C2×C4×D44C2212yescomplemented
143C2×C4×D44C2211yescharacteristic, complemented
144C2×#66923C2212yescomplemented
145C2×#66922C2211yescharacteristic, complemented
146C2×C4×Dic22C2211yescharacteristic, complemented
147C24×D11C2311yescharacteristic
148C24×D11C2312yes—
149C22×Q8×C11C2311yescharacteristic
150C22×Q8×C11C2312yes—
151C22×D4×C11C2311yescharacteristic
152C22×D4×C11C2312yes—
153C23×C4×C11C2311yescharacteristic
154C23×C4×C11C2312yes—
155C22×C22⋊D11C2312yes—
156C22×C22⋊D11C2312yes—
157C22×C22⋊D11C2312yes—
158C22×C22⋊D11C2311yescharacteristic
159C22×C22⋊D11C2311yescharacteristic
160C22×C22⋊D11C2312yes—
161C22×C22⋊D11C2312yes—
162C23×Dic11C2312yes—
163C23×Dic11C2311yescharacteristic
164C2×#4343—48no—
165C2×#4343—44no—
166C2×#4343C23116yescomplemented
167C2×#4343C2318yescomplemented
168C2×Q8×D11—44no—
169C2×Q8×D11C2318yescomplemented
170C2×#4341—44no—
171C2×#4341C2318yescomplemented
172C2×D4×D11—44no—
173C2×D4×D11—48no—
174C2×D4×D11C2318yes—
175C2×D4×D11C23116yes—
176C2×#4339—44no—
177C2×#4339—48no—
178C2×#4339C2318yescomplemented
179C2×#4339C23116yescomplemented
180C22×D44C2311yescharacteristic
181C22×D44C2311yescharacteristic
182C22×D44C2311yescharacteristic
183C22×D44C2311yescharacteristic
184C22×D44C2311yescharacteristic
185C22×D44C2312yes—
186C22×D44C2312yes—
187C22×D44C2312yes—
188C22×D44C2311yescharacteristic
189C22×C4×D11—44no—
190C22×C4×D11C2311yescharacteristic
191C22×C4×D11C2311yescharacteristic
192C22×C4×D11C2311yescharacteristic
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2312yes—
195C22×C4×D11C2312yes—
196C22×C4×D11C2312yes—
197C22×C4×D11C2312yes—
198C22×C4×D11C2312yes—
199C22×C4×D11C2312yes—
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2312yes—
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2318yes—
204C22×Dic22C2311yescharacteristic
205C22×Dic22C2312yes—
206C22×Dic22C2312yes—
207C22×Dic22C2311yescharacteristic
208C11×C4⋊Q8C2318yescomplemented
209C11×#126C23116yescomplemented
210C11×#124C2318yescomplemented
211C11×#124C23116yescomplemented
212C11×#123C23116yescomplemented
213C11×C22⋊Q8C2318yescomplemented
214C11×C22⋊Q8C23116yescomplemented
215C11×#121C2318yes—
216C4×Q8×C11C2318yescomplemented
217C4×D4×C11C2318yescomplemented
218C11×#117C2318yescomplemented
219C2×C11×C4⋊C4C2312yes—
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2312yes—
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2312yes—
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2312yes—
227C2×C11×C22⋊C4C2312yes—
228C2×C11×C22⋊C4C2312yes—
229C2×C11×C22⋊C4C2312yes—
230C2×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2312yes—
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C42×C11C2311yescharacteristic
234C2×C42×C11C2311yescharacteristic
235C2×C42×C11C2312yes—
236C2×C22⋊Dic11C2312yes—
237C2×C22⋊Dic11C2312yes—
238C2×C22⋊Dic11C2312yes—
239#66999C23116yes—
240#66999C2318yes—
241#66999C23116yescomplemented
242#66999C23116yescomplemented
243#66999C2318yescomplemented
244#66992C23116yes—
245#66992C23116yescomplemented
246#66991C2318yes—
247#66991C2318yescomplemented
248#66991C23116yescomplemented
249#66983C2318yes—
250#66983C23116yescomplemented
251C2×(C2×D11)⋊C4C2312yes—
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2312yes—
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2312yes—
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2312yes—
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2312yes—
264C2×(C2×D11)⋊C4C2312yes—
265C2×(C2×D11)⋊C4C2312yes—
266C2×(C2×D11)⋊C4C2312yes—
267C2×(C2×D11)⋊C4C2312yes—
268C2×(C2×D11)⋊C4C2312yes—
269C2×(C2×D11)⋊C4C23116yes—
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2312yes—
272C2×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2312yes—
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2312yes—
279#66977C2318yescomplemented
280#66977C23116yescomplemented
281C2×Dic11⋊C4C2312yes—
282C2×Dic11⋊C4C2312yes—
283C2×Dic11⋊C4C2312yes—
284C2×Dic11⋊C4C2312yes—
285C2×Dic11⋊C4C2312yes—
286C2×Dic11⋊C4C2312yes—
287C2×Dic11⋊C4C2312yes—
288C2×Dic11⋊C4C2312yes—
289C2×C4×Dic11C2312yes—
290#66951C23116yescomplemented
291#66950C2318yes—
292#66950C2318yes—
293#66950C2318yescomplemented
294#66950C2318yescomplemented
295#66950C23116yescomplemented
296#66949C23116yes—
297#66949C23116yes—
298#66949C23116yescomplemented
299#66949C23116yescomplemented
300#66949C23116yescomplemented
301#66948C2318yes—
302#66948C2318yes—
303#66948C23116yescomplemented
304#66948C2318yescomplemented
305#66948C2318yescomplemented
306#66948C23116yescomplemented
307#66947C23116yescomplemented
308#66947C23116yescomplemented
309#66946C23116yes—
310C4⋊C4×D11C2318yes—
311C4⋊C4×D11C23116yescomplemented
312C4⋊C4×D11C2318yescomplemented
313C4⋊C4×D11C2318yescomplemented
314C4⋊C4×D11C2318yescomplemented
315#66943C23116yescomplemented
316#66939C23116yescomplemented
317#66939C2318yescomplemented
318#66939C2318yescomplemented
319#66938C23116yescomplemented
320#66938C23116yescomplemented
321#66937C23116yes—
322#66937C23116yescomplemented
323#66937C23116yescomplemented
324#66937C23116yescomplemented
325#66937C23116yescomplemented
326#66937C23116yescomplemented
327#66936C23116yescomplemented
328#66936C23116yescomplemented
329#66936C23116yescomplemented
330#66936C23116yescomplemented
331#66935C23116yes—
332#66935C23116yes—
333#66935C2318yes—
334#66935C2318yes—
335(C22⋊D11)⋊C4C23116yescomplemented
336C22⋊C4×D11C23116yes—
337C22⋊C4×D11C23116yes—
338C22⋊C4×D11C23116yes—
339#66931C23116yescomplemented
340#66931C23116yescomplemented
341#66931C23116yescomplemented
342#66928C23116yescomplemented
343#66928C2318yescomplemented
344C4×D44C23116yes—
345C4×D44C2318yes—
346C4×D44C2318yes—
347C4×D44C23116yescomplemented
348C4×D44C2318yescomplemented
349C4×D44C2318yescomplemented
350C4×D44C2318yescomplemented
351#66923C23116yescomplemented
352#66922C2318yescomplemented
353C4×Dic22C2318yescomplemented
354C2×#3536—111nomaximal, Sylow
355C24×C11C2411yescharacteristic
356C24×C11C2412yes—
357C23×D11—24no—
358C23×D11—24no—
359C23×D11—28no—
360C23×D11—42no—
361C23×D11—44no—
362C23×D11—44no—
363C23×D11C2412yes—
364C23×D11C2411yescharacteristic
365C23×D11C2411yescharacteristic
366C23×D11C2414yes—
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C23×D11C2418yes—
370C2×Q8×C11—24no—
371C2×Q8×C11—44no—
372C2×Q8×C11C2414yes—
373C2×Q8×C11C2418yes—
374C2×D4×C11—24no—
375C2×D4×C11—44no—
376C2×D4×C11C2414yes—
377C2×D4×C11C2418yes—
378C22×C4×C11—24no—
379C22×C4×C11—44no—
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2412yes—
383C22×C4×C11C2412yes—
384C22×C4×C11C2412yes—
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2414yes—
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2418yes—
390C22×C4×C11C2411yescharacteristic
391C2×C22⋊D11—28no—
392C2×C22⋊D11—42no—
393C2×C22⋊D11—42no—
394C2×C22⋊D11—44no—
395C2×C22⋊D11—44no—
396C2×C22⋊D11—44no—
397C2×C22⋊D11—44no—
398C2×C22⋊D11C2418yes—
399C2×C22⋊D11C2418yes—
400C2×C22⋊D11C2418yes—
401C2×C22⋊D11C2414yes—
402C2×C22⋊D11C2414yes—
403C2×C22⋊D11C2418yes—
404C2×C22⋊D11C2418yes—
405C22×Dic11—42no—
406C22×Dic11—44no—
407C22×Dic11C2412yes—
408C22×Dic11C2412yes—
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2412yes—
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2418yes—
415C22×Dic11C2414yes—
416#4343—416no—
417#4343—432no—
418Q8×D11—416no—
419#4341—416no—
420D4×D11—416no—
421D4×D11—432no—
422#4339—416no—
423#4339—432no—
424C2×D44—24no—
425C2×D44—28no—
426C2×D44—24no—
427C2×D44—24no—
428C2×D44—24no—
429C2×D44—24no—
430C2×D44—42no—
431C2×D44—44no—
432C2×D44—44no—
433C2×D44C2414yes—
434C2×D44C2414yes—
435C2×D44C2414yes—
436C2×D44C2414yes—
437C2×D44C2414yes—
438C2×D44C2418yes—
439C2×D44C2418yes—
440C2×D44C2418yes—
441C2×D44C2414yes—
442C2×C4×D11—28no—
443C2×C4×D11—24no—
444C2×C4×D11—24no—
445C2×C4×D11—24no—
446C2×C4×D11—24no—
447C2×C4×D11—42no—
448C2×C4×D11—42no—
449C2×C4×D11—44no—
450C2×C4×D11—44no—
451C2×C4×D11—44no—
452C2×C4×D11—44no—
453C2×C4×D11—44no—
454C2×C4×D11—44no—
455C2×C4×D11—416no—
456C2×C4×D11C2414yes—
457C2×C4×D11C2414yes—
458C2×C4×D11C2414yes—
459C2×C4×D11C2414yes—
460C2×C4×D11C2418yes—
461C2×C4×D11C2418yes—
462C2×C4×D11C2418yes—
463C2×C4×D11C2418yes—
464C2×C4×D11C2418yes—
465C2×C4×D11C2418yes—
466C2×C4×D11C2414yes—
467C2×C4×D11C2418yes—
468C2×C4×D11C2414yes—
469C2×Dic22—24no—
470C2×Dic22—44no—
471C2×Dic22—42no—
472C2×Dic22—44no—
473C2×Dic22C2414yes—
474C2×Dic22C2418yes—
475C2×Dic22C2418yes—
476C2×Dic22C2414yes—
477C11×C4⋊C4C2418yes—
478C11×C4⋊C4C2414yes—
479C11×C4⋊C4C2414yes—
480C11×C4⋊C4C2418yes—
481C11×C4⋊C4C2414yes—
482C11×C4⋊C4C2418yes—
483C11×C4⋊C4C2414yes—
484C11×C22⋊C4C2418yes—
485C11×C22⋊C4C2418yes—
486C11×C22⋊C4C2418yes—
487C11×C22⋊C4C2418yes—
488C11×C22⋊C4C2414yes—
489C11×C22⋊C4C2418yes—
490C11×C22⋊C4C2414yes—
491C42×C11C2414yes—
492C42×C11C2414yes—
493C42×C11C2418yes—
494C22⋊Dic11C2418yes—
495C22⋊Dic11C2418yes—
496C22⋊Dic11C2418yes—
497(C2×D11)⋊C4C2418yes—
498(C2×D11)⋊C4C2414yes—
499(C2×D11)⋊C4C2414yes—
500(C2×D11)⋊C4C2418yes—
501(C2×D11)⋊C4C2414yes—
502(C2×D11)⋊C4C2414yes—
503(C2×D11)⋊C4C2414yes—
504(C2×D11)⋊C4C2418yes—
505(C2×D11)⋊C4C2414yes—
506(C2×D11)⋊C4C2414yes—
507(C2×D11)⋊C4C2418yes—
508(C2×D11)⋊C4C2414yes—
509(C2×D11)⋊C4C2418yes—
510(C2×D11)⋊C4C2418yes—
511(C2×D11)⋊C4C2418yes—
512(C2×D11)⋊C4C2418yes—
513(C2×D11)⋊C4C2418yes—
514(C2×D11)⋊C4C2418yes—
515C4⋊Dic11C2414yes—
516C4⋊Dic11C2418yes—
517C4⋊Dic11C2414yes—
518C4⋊Dic11C2414yes—
519C4⋊Dic11C2414yes—
520C4⋊Dic11C2414yes—
521C4⋊Dic11C2418yes—
522C4⋊Dic11C2414yes—
523C4⋊Dic11C2418yes—
524Dic11⋊C4C2418yes—
525Dic11⋊C4C2418yes—
526Dic11⋊C4C2418yes—
527Dic11⋊C4C2418yes—
528Dic11⋊C4C2418yes—
529Dic11⋊C4C2418yes—
530Dic11⋊C4C2418yes—
531Dic11⋊C4C2418yes—
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—112no—
543C2×#546—111no—
544C2×#546—112no—
545C2×#546—111no—
546C2×#543—112no—
547C2×#542—111no—
548C2×#542D1111yescharacteristic, complemented
549C2×#539—112no—
550C2×#538—112no—
551C2×#537—112no—
552C2×#537—111no—
553C2×#537—111no—
554C2×#525—111no—
555C22×C22⋊Q8—111no—
556C22×#121—111no—
557C23×C11—22no—
558C23×C11—24no—
559C23×C11—24no—
560C23×C11—22no—
561C23×C11—22no—
562C23×C11—24no—
563C23×C11C2512yes—
564C23×C11C2514yes—
565C23×C11C2511yescharacteristic
566C22×D11—22no—
567C22×D11—22no—
568C22×D11—22no—
569C22×D11—22no—
570C22×D11—22no—
571C22×D11—22no—
572C22×D11—22no—
573C22×D11—22no—
574C22×D11—24no—
575C22×D11—24no—
576C22×D11—22no—
577C22×D11—22no—
578C22×D11—24no—
579C22×D11—28no—
580C22×D11—28no—
581C22×D11—216no—
582C22×D11—44no—
583C22×D11—416no—
584C22×D11—48no—
585C22×D11—48no—
586C22×D11—816no—
587C22×D11H(5,𝔽2)14yes—
588C22×D112−1+414yes—
589C22×D11C2514yes—
590C22×D11C2512yes—
591C22×D11C2512yes—
592C22×D11C2512yes—
593C22×D11C2512yes—
594Q8×C11—28no—
595Q8×C11—48no—
596D4×C11—28no—
597D4×C11—48no—
598C2×C4×C11—22no—
599C2×C4×C11—22no—
600C2×C4×C11—24no—
601C2×C4×C11—24no—
602C2×C4×C11—24no—
603C2×C4×C11—22no—
604C2×C4×C11—22no—
605C2×C4×C11—22no—
606C2×C4×C11—28no—
607C2×C4×C11—48no—
608C2×C4×C11H(5,𝔽2)14yes—
609C2×C4×C11C2512yes—
610C2×C4×C11C2512yes—
611C2×C4×C11C2514yes—
612C2×C4×C11C2514yes—
613C2×C4×C11C2514yes—
614C2×C4×C11C2512yes—
615C2×C4×C11C2512yes—
616C2×C4×C11C2512yes—
617C2×C4×C11C2512yes—
618C22⋊D11—216no—
619C22⋊D11—44no—
620C22⋊D11—48no—
621C22⋊D11—44no—
622C22⋊D11—48no—
623C22⋊D11—48no—
624C22⋊D11—48no—
625C2×Dic11—24no—
626C2×Dic11—22no—
627C2×Dic11—22no—
628C2×Dic11—24no—
629C2×Dic11—22no—
630C2×Dic11—24no—
631C2×Dic11—22no—
632C2×Dic11—44no—
633C2×Dic11—48no—
634C2×Dic11C2514yes—
635C2×Dic11C2514yes—
636C2×Dic11C2512yes—
637C2×Dic11C2512yes—
638C2×Dic11C2514yes—
639C2×Dic11C2512yes—
640C2×Dic11C2512yes—
641D44—28no—
642D44—216no—
643D44—28no—
644D44—28no—
645D44—28no—
646D44—28no—
647D44—44no—
648D44—48no—
649D44—48no—
650C4×D11—216no—
651C4×D11—28no—
652C4×D11—28no—
653C4×D11—28no—
654C4×D11—28no—
655C4×D11—44no—
656C4×D11—44no—
657C4×D11—48no—
658C4×D11—48no—
659C4×D11—48no—
660C4×D11—48no—
661C4×D11—48no—
662C4×D11—48no—
663Dic22—28no—
664Dic22—44no—
665Dic22—48no—
666Dic22—48no—
667C22×#41—112no—
668C22×#41—111no—
669C22×#41—111no—
670C22×#41—111no—
671C22×#41—112no—
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—1132no—
685#546—1116no—
686#546—1132no—
687#546—1116no—
688#543—1132no—
689#542—1116no—
690#542C2×D11116yescomplemented
691#539—1132no—
692#538—1132no—
693#537—1132no—
694#537—1116no—
695#537—1116no—
696C2×C4⋊Q8—111no—
697C2×C4⋊Q8C2×D1111yescharacteristic, complemented
698C2×#126—112no—
699C2×#126C2×D1112yescomplemented
700C2×#125—112no—
701C2×#125—112no—
702C2×#124—112no—
703C2×#124—112no—
704C2×#124—112no—
705C2×#124—111no—
706C2×#124C2×D1111yescharacteristic, complemented
707C2×#124C2×D1112yescomplemented
708#525—1116no—
709C2×#123—112no—
710C2×#123—112no—
711C2×#123—112no—
712C2×#123—112no—
713C2×#123—112no—
714C2×#123—112no—
715C2×#123—111no—
716C2×#123—111no—
717C2×#123—112no—
718C2×#123C2×D1112yescomplemented
719C2×C22⋊Q8—111no—
720C2×C22⋊Q8—112no—
721C2×C22⋊Q8—111no—
722C2×C22⋊Q8—112no—
723C2×C22⋊Q8—112no—
724C2×C22⋊Q8—111no—
725C2×C22⋊Q8—112no—
726C2×C22⋊Q8—1116no—
727C2×C22⋊Q8—112no—
728C2×C22⋊Q8—112no—
729C2×C22⋊Q8—112no—
730C2×C22⋊Q8—112no—
731C2×C22⋊Q8—112no—
732C2×C22⋊Q8—111no—
733C2×C22⋊Q8—111no—
734C2×C22⋊Q8—111no—
735C2×C22⋊Q8—111no—
736C2×C22⋊Q8—112no—
737C2×C22⋊Q8—112no—
738C2×C22⋊Q8—112no—
739C2×C22⋊Q8—112no—
740C2×C22⋊Q8C2×D1111yescharacteristic, complemented
741C2×C22⋊Q8C2×D1112yescomplemented
742C2×#121—111no—
743C2×#121—111no—
744C2×#121—112no—
745C2×#121—112no—
746C2×#121—112no—
747C2×#121—111no—
748C2×#121—112no—
749C2×#121—1116no—
750C2×#121—111no—
751C2×#121—111no—
752C2×#121—111no—
753C2×#121—112no—
754C2×#121—111no—
755C2×#121—112no—
756C2×#121—112no—
757C2×#121—112no—
758C2×#121—112no—
759C2×#121—112no—
760C2×#121—112no—
761C2×#121—112no—
762C2×#121C2×D1111yescharacteristic
763C2×#120—111no—
764C2×#120—111no—
765C2×#120—112no—
766C2×#120—112no—
767C2×C4×Q8—111no—
768C2×C4×Q8C2×D1111yescharacteristic, complemented
769C2×C4×D4—112no—
770C2×C4×D4—112no—
771C2×C4×D4—111no—
772C2×C4×D4—111no—
773C2×C4×D4—112no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4—112no—
777C2×C4×D4—111no—
778C2×C4×D4C2×D1111yescharacteristic, complemented
779C2×#117C2×D1111yescharacteristic, complemented
780C22×C4⋊C4—111no—
781C22×C4⋊C4—112no—
782C22×C4⋊C4—111no—
783C22×C4⋊C4—111no—
784C22×C4⋊C4—111no—
785C22×C22⋊C4—112no—
786C22×C22⋊C4—112no—
787C22×C22⋊C4—112no—
788C22×C22⋊C4—112no—
789C22×C11—22no—
790C22×C11—24no—
791C22×C11—24no—
792C22×C11—22no—
793C22×C11—22no—
794C22×C11—24no—
795C22×C11—44no—
796C22×C11—48no—
797C22×C11C2×H(5,𝔽2)12yes—
798C22×C11C2×H(5,𝔽2)12yes—
799C22×C11C2×2−1+412yes—
800C22×C11C2611yescharacteristic
801C2×D11—22no—
802C2×D11—22no—
803C2×D11—22no—
804C2×D11—22no—
805C2×D11—28no—
806C2×D11—28no—
807C2×D11—24no—
808C2×D11—24no—
809C2×D11—22no—
810C2×D11—22no—
811C2×D11—22no—
812C2×D11—22no—
813C2×D11—24no—
814C2×D11—22no—
815C2×D11—22no—
816C2×D11—416no—
817C2×D11—44no—
818C2×D11—44no—
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—24no—
826C4×C11—24no—
827C4×C11—24no—
828C4×C11—22no—
829C4×C11—22no—
830C4×C11—22no—
831C4×C11C2×H(5,𝔽2)14yes—
832Dic11—24no—
833Dic11—22no—
834Dic11—24no—
835Dic11—22no—
836Dic11—22no—
837Dic11—24no—
838Dic11—22no—
839C25—111no—
840C25—112no—
841C2×#41—1116no—
842C2×#41—118no—
843C2×#41—118no—
844C2×#41—118no—
845C2×#41—1116no—
846C2×#41—444no—
847C2×#41—448no—
848C2×#41—444no—
849C2×#41—448no—
850C2×#41—444no—
851C22×Q8—118no—
852C22×Q8—111no—
853C22×Q8—111no—
854C22×Q8—112no—
855C22×Q8—112no—
856C22×Q8—444no—
857C22×Q8C22×D1111yescharacteristic
858C22×Q8C22×D1112yes—
859C22×D4—112no—
860C22×D4—111no—
861C22×D4—111no—
862C22×D4—112no—
863C22×D4—112no—
864C22×D4—112no—
865C22×D4—112no—
866C22×D4—118no—
867C22×D4—1116no—
868C22×D4—111no—
869C22×D4—111no—
870C22×D4—111no—
871C22×D4—111no—
872C22×D4—112no—
873C22×D4—111no—
874C22×D4—112no—
875C22×D4—112no—
876C22×D4—111no—
877C22×D4—444no—
878C22×D4—448no—
879C22×D4C22×D1111yescharacteristic
880C22×D4C22×D1112yes—
881C23×C4—112no—
882C23×C4—111no—
883C23×C4—112no—
884C23×C4—111no—
885C23×C4—111no—
886C23×C4—111no—
887C23×C4—111no—
888C23×C4—111no—
889C23×C4—112no—
890C23×C4—112no—
891C23×C4—112no—
892C23×C4—112no—
893C23×C4—111no—
894C23×C4—112no—
895C23×C4—112no—
896C23×C4—118no—
897C23×C4—444no—
898C23×C4C22×D1111yescharacteristic
899C23×C4C22×D1112yes—
900C4⋊Q8—118no—
901C4⋊Q8C22×D1118yescomplemented
902#126—1116no—
903#126C22×D11116yescomplemented
904#125—1116no—
905#125—1116no—
906#124—1116no—
907#124—1116no—
908#124—1116no—
909#124—118no—
910#124C22×D1118yescomplemented
911#124C22×D11116yescomplemented
912#123—1116no—
913#123—1116no—
914#123—118no—
915#123—118no—
916#123—1116no—
917#123—1116no—
918#123—1116no—
919#123—1116no—
920#123—1116no—
921#123C22×D11116yescomplemented
922C22⋊Q8—118no—
923C22⋊Q8—118no—
924C22⋊Q8—1116no—
925C22⋊Q8—1116no—
926C22⋊Q8—1116no—
927C22⋊Q8—118no—
928C22⋊Q8—1116no—
929C22⋊Q8—1116no—
930C22⋊Q8—118no—
931C22⋊Q8—118no—
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⋊Q8C22×D1118yescomplemented
943C22⋊Q8C22×D11116yescomplemented
944#121—118no—
945#121—1116no—
946#121—118no—
947#121—1116no—
948#121—1116no—
949#121—118no—
950#121—1116no—
951#121—118no—
952#121—118no—
953#121—118no—
954#121—1116no—
955#121—118no—
956#121—1116no—
957#121—1116no—
958#121—1116no—
959#121—1116no—
960#121—1116no—
961#121—1116no—
962#121—1116no—
963#121C22×D1118yes—
964#120—118no—
965#120—118no—
966#120—1116no—
967#120—1116no—
968C4×Q8—118no—
969C4×Q8C22×D1118yescomplemented
970C4×D4—1116no—
971C4×D4—1116no—
972C4×D4—118no—
973C4×D4—118no—
974C4×D4—118no—
975C4×D4—118no—
976C4×D4—1116no—
977C4×D4—1116no—
978C4×D4—118no—
979C4×D4C22×D1118yescomplemented
980#117C22×D1118yescomplemented
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—112no—
990C2×C4⋊C4—112no—
991C2×C4⋊C4—112no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—112no—
997C2×C4⋊C4—112no—
998C2×C4⋊C4—118no—
999C2×C4⋊C4—1116no—
1000C2×C4⋊C4—118no—
1001C2×C4⋊C4—118no—
1002C2×C4⋊C4—118no—
1003C2×C4⋊C4C22×D1111yescharacteristic
1004C2×C4⋊C4C22×D1111yescharacteristic
1005C2×C4⋊C4C22×D1112yes—
1006C2×C4⋊C4C22×D1111yescharacteristic
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1112yes—
1009C2×C4⋊C4C22×D1112yes—
1010C2×C22⋊C4—112no—
1011C2×C22⋊C4—112no—
1012C2×C22⋊C4—112no—
1013C2×C22⋊C4—112no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—112no—
1017C2×C22⋊C4—112no—
1018C2×C22⋊C4—112no—
1019C2×C22⋊C4—112no—
1020C2×C22⋊C4—112no—
1021C2×C22⋊C4—1116no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—112no—
1025C2×C22⋊C4—112no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—112no—
1029C2×C22⋊C4—112no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—1116no—
1033C2×C22⋊C4—1116no—
1034C2×C22⋊C4—1116no—
1035C2×C22⋊C4C22×D1112yes—
1036C2×C22⋊C4C22×D1112yes—
1037C2×C22⋊C4C22×D1112yes—
1038C2×C22⋊C4C22×D1111yescharacteristic
1039C2×C22⋊C4C22×D1111yescharacteristic
1040C2×C22⋊C4C22×D1112yes—
1041C2×C22⋊C4C22×D1112yes—
1042C2×C42—112no—
1043C2×C42C22×D1111yescharacteristic
1044C2×C42C22×D1111yescharacteristic
1045C2×C42C22×D1112yes—
1046C2×C11—42no—
1047C2×C11—44no—
1048C2×C11#353614yescomplemented
1049C2×C11C22×H(5,𝔽2)11yescharacteristic
1050C2×C11C22×H(5,𝔽2)11yescharacteristic
1051C2×C11C22×2−1+411yescharacteristic
1052D11—24no—
1053D11—24no—
1054D11—42no—
1055D11—42no—
1056D11—44no—
1057C24—111no—
1058C24—111no—
1059C24—112no—
1060C24—111no—
1061C24—111no—
1062C24—114no—
1063C24—118no—
1064C24—224no—
1065C24—224no—
1066C24—228no—
1067C24—442no—
1068C24—444no—
1069C24—444no—
1070C24C23×D1111yescharacteristic
1071C24C23×D1112yes—
1072#41—4416no—
1073#41—4432no—
1074#41—4416no—
1075#41—4432no—
1076#41—4416no—
1077C2×Q8—24no—
1078C2×Q8—44no—
1079C2×Q8—114no—
1080C2×Q8—114no—
1081C2×Q8—118no—
1082C2×Q8—118no—
1083C2×Q8—224no—
1084C2×Q8—444no—
1085C2×Q8—442no—
1086C2×Q8—444no—
1087C2×Q8—4416no—
1088C2×Q8C23×D1114yes—
1089C2×Q8C23×D1118yes—
1090C2×D4—24no—
1091C2×D4—44no—
1092C2×D4—118no—
1093C2×D4—114no—
1094C2×D4—114no—
1095C2×D4—118no—
1096C2×D4—118no—
1097C2×D4—118no—
1098C2×D4—118no—
1099C2×D4—114no—
1100C2×D4—114no—
1101C2×D4—114no—
1102C2×D4—114no—
1103C2×D4—118no—
1104C2×D4—114no—
1105C2×D4—118no—
1106C2×D4—118no—
1107C2×D4—114no—
1108C2×D4—228no—
1109C2×D4—224no—
1110C2×D4—224no—
1111C2×D4—224no—
1112C2×D4—224no—
1113C2×D4—228no—
1114C2×D4—224no—
1115C2×D4—442no—
1116C2×D4—444no—
1117C2×D4—444no—
1118C2×D4—4416no—
1119C2×D4—444no—
1120C2×D4—444no—
1121C2×D4—442no—
1122C2×D4—442no—
1123C2×D4—444no—
1124C2×D4—444no—
1125C2×D4—4432no—
1126C2×D4C23×D1114yes—
1127C2×D4C23×D1118yes—
1128C22×C4—24no—
1129C22×C4—44no—
1130C22×C4—112no—
1131C22×C4—112no—
1132C22×C4—111no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—112no—
1136C22×C4—111no—
1137C22×C4—118no—
1138C22×C4—114no—
1139C22×C4—118no—
1140C22×C4—114no—
1141C22×C4—114no—
1142C22×C4—114no—
1143C22×C4—114no—
1144C22×C4—114no—
1145C22×C4—118no—
1146C22×C4—118no—
1147C22×C4—118no—
1148C22×C4—118no—
1149C22×C4—114no—
1150C22×C4—118no—
1151C22×C4—118no—
1152C22×C4—228no—
1153C22×C4—224no—
1154C22×C4—224no—
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—444no—
1165C22×C4—444no—
1166C22×C4—442no—
1167C22×C4—444no—
1168C22×C4C23×D1114yes—
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1112yes—
1174C22×C4C23×D1112yes—
1175C22×C4C23×D1112yes—
1176C22×C4C23×D1111yescharacteristic
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—118no—
1188C4⋊C4—118no—
1189C4⋊C4—118no—
1190C4⋊C4—114no—
1191C4⋊C4—114no—
1192C4⋊C4—114no—
1193C4⋊C4—114no—
1194C4⋊C4—118no—
1195C4⋊C4—118no—
1196C4⋊C4C23×D1114yes—
1197C4⋊C4C23×D1114yes—
1198C4⋊C4C23×D1118yes—
1199C4⋊C4C23×D1114yes—
1200C4⋊C4C23×D1114yes—
1201C4⋊C4C23×D1118yes—
1202C4⋊C4C23×D1118yes—
1203C22⋊C4—118no—
1204C22⋊C4—118no—
1205C22⋊C4—118no—
1206C22⋊C4—118no—
1207C22⋊C4—114no—
1208C22⋊C4—114no—
1209C22⋊C4—118no—
1210C22⋊C4—118no—
1211C22⋊C4—118no—
1212C22⋊C4—118no—
1213C22⋊C4—118no—
1214C22⋊C4—114no—
1215C22⋊C4—114no—
1216C22⋊C4—118no—
1217C22⋊C4—118no—
1218C22⋊C4—114no—
1219C22⋊C4—114no—
1220C22⋊C4—118no—
1221C22⋊C4—118no—
1222C22⋊C4—114no—
1223C22⋊C4—114no—
1224C22⋊C4C23×D1118yes—
1225C22⋊C4C23×D1118yes—
1226C22⋊C4C23×D1118yes—
1227C22⋊C4C23×D1114yes—
1228C22⋊C4C23×D1114yes—
1229C22⋊C4C23×D1118yes—
1230C22⋊C4C23×D1118yes—
1231C42—118no—
1232C42C23×D1114yes—
1233C42C23×D1114yes—
1234C42C23×D1118yes—
1235C11C2×#353611yescharacteristic, complemented, Sylow
1236C23—22no—
1237C23—24no—
1238C23—24no—
1239C23—22no—
1240C23—22no—
1241C23—24no—
1242C23—114no—
1243C23—114no—
1244C23—112no—
1245C23—112no—
1246C23—114no—
1247C23—112no—
1248C23—112no—
1249C23—228no—
1250C23—228no—
1251C23—2216no—
1252C23—222no—
1253C23—222no—
1254C23—222no—
1255C23—222no—
1256C23—222no—
1257C23—222no—
1258C23—224no—
1259C23—222no—
1260C23—222no—
1261C23—224no—
1262C23—222no—
1263C23—222no—
1264C23—224no—
1265C23—444no—
1266C23—448no—
1267C23—448no—
1268C23—4416no—
1269C23—8816no—
1270C23C24×D1114yes—
1271C23C24×D1112yes—
1272C23C24×D1111yescharacteristic
1273Q8—28no—
1274Q8—48no—
1275Q8—228no—
1276Q8—448no—
1277Q8—448no—
1278Q8—444no—
1279D4—28no—
1280D4—48no—
1281D4—2216no—
1282D4—228no—
1283D4—228no—
1284D4—228no—
1285D4—228no—
1286D4—2216no—
1287D4—228no—
1288D4—448no—
1289D4—444no—
1290D4—448no—
1291D4—448no—
1292D4—448no—
1293D4—448no—
1294D4—444no—
1295D4—444no—
1296D4—448no—
1297C2×C4—22no—
1298C2×C4—24no—
1299C2×C4—22no—
1300C2×C4—24no—
1301C2×C4—24no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—28no—
1306C2×C4—48no—
1307C2×C4—114no—
1308C2×C4—114no—
1309C2×C4—112no—
1310C2×C4—114no—
1311C2×C4—112no—
1312C2×C4—112no—
1313C2×C4—112no—
1314C2×C4—2216no—
1315C2×C4—222no—
1316C2×C4—222no—
1317C2×C4—222no—
1318C2×C4—222no—
1319C2×C4—224no—
1320C2×C4—224no—
1321C2×C4—224no—
1322C2×C4—228no—
1323C2×C4—228no—
1324C2×C4—228no—
1325C2×C4—228no—
1326C2×C4—444no—
1327C2×C4—444no—
1328C2×C4—448no—
1329C2×C4—448no—
1330C2×C4—448no—
1331C2×C4—448no—
1332C2×C4—448no—
1333C2×C4—448no—
1334C2×C4—444no—
1335C2×C4—448no—
1336C2×C4#6704214yes—
1337C2×C4C24×D1112yes—
1338C2×C4C24×D1112yes—
1339C2×C4C24×D1112yes—
1340C2×C4C24×D1112yes—
1341C2×C4C24×D1114yes—
1342C2×C4C24×D1114yes—
1343C2×C4C24×D1114yes—
1344C2×C4C24×D1112yes—
1345C2×C4C24×D1112yes—
1346C22—24no—
1347C22—22no—
1348C22—22no—
1349C22—24no—
1350C22—22no—
1351C22—24no—
1352C22—44no—
1353C22—48no—
1354C22—114no—
1355C22—114no—
1356C22—222no—
1357C22—222no—
1358C22—222no—
1359C22—222no—
1360C22—228no—
1361C22—228no—
1362C22—222no—
1363C22—222no—
1364C22—224no—
1365C22—222no—
1366C22—222no—
1367C22—224no—
1368C22—222no—
1369C22—222no—
1370C22—224no—
1371C22—4416no—
1372C22—448no—
1373C22—444no—
1374C22—444no—
1375C22—8816no—
1376C22C2×#6704212yes—
1377C22D11×H(5,𝔽2)12yes—
1378C22D11×2−1+412yes—
1379C22C25×D1111yescharacteristic
1380C4—22no—
1381C4—24no—
1382C4—24no—
1383C4—22no—
1384C4—22no—
1385C4—24no—
1386C4—22no—
1387C4—22no—
1388C4—224no—
1389C4—224no—
1390C4—222no—
1391C4—222no—
1392C4—222no—
1393C4—222no—
1394C4—224no—
1395C4C2×#6704214yes—
1396C2—42no—
1397C2—44no—
1398C2—224no—
1399C2—224no—
1400C2—444no—
1401C2—442no—
1402C2—442no—
1403C2#1308284114yesdirect product factor
1404C2C2×D11×H(5,𝔽2)11yescharacteristic
1405C2C22×#6704211yescharacteristic
1406C2C2×D11×2−1+411yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#542C2
socleC23×C11C25
hypercenterC2×#542D11
hypocenterC11C2×#3536
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
1. #13082841C2direct (N × H)
2. C2×#10623198C2semidirect
3. C2×#10623215C2semidirect
4. C2×#10623261C2semidirect
5. C2×#10623110C2semidirect
6. C2×#10623107C2semidirect
7. C2×#10623208C2semidirect
8. C2×#10623082C2semidirect
9. C2×#10623257C2semidirect
10. C2×#10623085C2semidirect
11. C2×#10623207C2semidirect
12. C2×#10623207C2semidirect
13. C2×#10623185C2semidirect
14. C2×#10623165C2semidirect
15. C2×#10623065C2semidirect
16. C2×#10623238C2semidirect
17. C2×#10623235C2semidirect
18. C2×#10623160C2semidirect
19. C2×#10623160C2semidirect
20. C2×#10623139C2semidirect
21. C2×#10623055C2semidirect
22. C2×D11×C22⋊Q8C2semidirect
23. C2×D11×#121C2semidirect
24. C2×C11×#542C2semidirect
25. C22×#4343C22semidirect
26. C22×#4343C22semidirect
27. C22×Q8×D11C22semidirect
28. C22×#4341C22semidirect
31. C22×#4339C22semidirect
32. C22×#4339C22semidirect
34. C11×#542C22semidirect
35. C2×C11×C4⋊Q8C22semidirect
36. C2×C11×#126C22semidirect
37. C2×C11×#124C22semidirect
38. C2×C11×#124C22semidirect
39. C2×C11×#123C22semidirect
40. C2×C11×C22⋊Q8C22semidirect
41. C2×C11×C22⋊Q8C22semidirect
43. C2×C4×Q8×C11C22semidirect
44. C2×C4×D4×C11C22semidirect
45. C2×C11×#117C22semidirect
48. C2×#66999C22semidirect
49. C2×#66999C22semidirect
50. C2×#66999C22semidirect
52. C2×#66992C22semidirect
54. C2×#66991C22semidirect
55. C2×#66991C22semidirect
57. C2×#66983C22semidirect
59. C2×#66977C22semidirect
60. C2×#66977C22semidirect
61. #10623261C22semidirect
62. #10623257C22semidirect
63. #10623238C22semidirect
64. #10623235C22semidirect
65. #10623215C22semidirect
66. #10623208C22semidirect
67. #10623207C22semidirect
68. #10623207C22semidirect
69. #10623198C22semidirect
70. #10623185C22semidirect
71. #10623165C22semidirect
72. #10623160C22semidirect
73. #10623160C22semidirect
74. D11×C22⋊Q8C22semidirect
75. #10623139C22semidirect
76. D11×#121C22semidirect
77. #10623110C22semidirect
78. #10623107C22semidirect
79. #10623085C22semidirect
80. #10623082C22semidirect
81. #10623065C22semidirect
82. #10623055C22semidirect
83. C2×#66951C22semidirect
86. C2×#66950C22semidirect
87. C2×#66950C22semidirect
88. C2×#66950C22semidirect
91. C2×#66949C22semidirect
92. C2×#66949C22semidirect
93. C2×#66949C22semidirect
96. C2×#66948C22semidirect
97. C2×#66948C22semidirect
98. C2×#66948C22semidirect
99. C2×#66948C22semidirect
100. C2×#66947C22semidirect
101. C2×#66947C22semidirect
104. C2×C4⋊C4×D11C22semidirect
105. C2×C4⋊C4×D11C22semidirect
106. C2×C4⋊C4×D11C22semidirect
107. C2×C4⋊C4×D11C22semidirect
108. C2×#66943C22semidirect
109. C2×#66939C22semidirect
110. C2×#66939C22semidirect
111. C2×#66939C22semidirect
112. C2×#66938C22semidirect
113. C2×#66938C22semidirect
115. C2×#66937C22semidirect
116. C2×#66937C22semidirect
117. C2×#66937C22semidirect
118. C2×#66937C22semidirect
119. C2×#66937C22semidirect
120. C2×#66936C22semidirect
121. C2×#66936C22semidirect
122. C2×#66936C22semidirect
123. C2×#66936C22semidirect
128. C2×(C22⋊D11)⋊C4C22semidirect
132. C2×#66931C22semidirect
133. C2×#66931C22semidirect
134. C2×#66931C22semidirect
135. C2×#66928C22semidirect
136. C2×#66928C22semidirect
140. C2×C4×D44C22semidirect
141. C2×C4×D44C22semidirect
142. C2×C4×D44C22semidirect
143. C2×C4×D44C22semidirect
144. C2×#66923C22semidirect
145. C2×#66922C22semidirect
146. C2×C4×Dic22C22semidirect
166. C2×#4343C23semidirect
167. C2×#4343C23semidirect
169. C2×Q8×D11C23semidirect
171. C2×#4341C23semidirect
178. C2×#4339C23semidirect
179. C2×#4339C23semidirect
208. C11×C4⋊Q8C23semidirect
209. C11×#126C23semidirect
210. C11×#124C23semidirect
211. C11×#124C23semidirect
212. C11×#123C23semidirect
213. C11×C22⋊Q8C23semidirect
214. C11×C22⋊Q8C23semidirect
216. C4×Q8×C11C23semidirect
217. C4×D4×C11C23semidirect
218. C11×#117C23semidirect
241. #66999C23semidirect
242. #66999C23semidirect
243. #66999C23semidirect
245. #66992C23semidirect
247. #66991C23semidirect
248. #66991C23semidirect
250. #66983C23semidirect
279. #66977C23semidirect
280. #66977C23semidirect
290. #66951C23semidirect
293. #66950C23semidirect
294. #66950C23semidirect
295. #66950C23semidirect
298. #66949C23semidirect
299. #66949C23semidirect
300. #66949C23semidirect
303. #66948C23semidirect
304. #66948C23semidirect
305. #66948C23semidirect
306. #66948C23semidirect
307. #66947C23semidirect
308. #66947C23semidirect
311. C4⋊C4×D11C23semidirect
312. C4⋊C4×D11C23semidirect
313. C4⋊C4×D11C23semidirect
314. C4⋊C4×D11C23semidirect
315. #66943C23semidirect
316. #66939C23semidirect
317. #66939C23semidirect
318. #66939C23semidirect
319. #66938C23semidirect
320. #66938C23semidirect
322. #66937C23semidirect
323. #66937C23semidirect
324. #66937C23semidirect
325. #66937C23semidirect
326. #66937C23semidirect
327. #66936C23semidirect
328. #66936C23semidirect
329. #66936C23semidirect
330. #66936C23semidirect
335. (C22⋊D11)⋊C4C23semidirect
339. #66931C23semidirect
340. #66931C23semidirect
341. #66931C23semidirect
342. #66928C23semidirect
343. #66928C23semidirect
347. C4×D44C23semidirect
348. C4×D44C23semidirect
349. C4×D44C23semidirect
350. C4×D44C23semidirect
351. #66923C23semidirect
352. #66922C23semidirect
353. C4×Dic22C23semidirect
548. C2×#542D11semidirect
690. #542C2×D11semidirect
697. C2×C4⋊Q8C2×D11semidirect
699. C2×#126C2×D11semidirect
706. C2×#124C2×D11semidirect
707. C2×#124C2×D11semidirect
718. C2×#123C2×D11semidirect
740. C2×C22⋊Q8C2×D11semidirect
741. C2×C22⋊Q8C2×D11semidirect
768. C2×C4×Q8C2×D11semidirect
778. C2×C4×D4C2×D11semidirect
779. C2×#117C2×D11semidirect
901. C4⋊Q8C22×D11semidirect
903. #126C22×D11semidirect
910. #124C22×D11semidirect
911. #124C22×D11semidirect
921. #123C22×D11semidirect
942. C22⋊Q8C22×D11semidirect
943. C22⋊Q8C22×D11semidirect
969. C4×Q8C22×D11semidirect
979. C4×D4C22×D11semidirect
980. #117C22×D11semidirect
1048. C2×C11#3536semidirect
1235. C11C2×#3536semidirect
1403. C2#13082841direct (N × H)

Maximal subgroups

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

subgroupindex
#130828412
C2×#106231982
C2×#106232152
C2×#106232612
C2×#106231102
C2×#106231072
C2×#106232082
C2×#106230822
C2×#106232572
C2×#106230852
C2×#106232072
C2×#106231852
C2×#106231652
C2×#106230652
C2×#106232382
C2×#106232352
C2×#106231602
C2×#106231392
C2×#106230552
C2×D11×C22⋊Q82
C2×D11×#1212
C2×C11×#5422
C2×#353611