Finite Group Databasebeta

← C4×#10623062 #14913675

Subgroups — C4×#10623062 #14913675

Order 2816.

2376 conjugacy classes of subgroups.

The subgroup lattice has 1412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623062C211yesmaximal, characteristic
2#13071736C211yesmaximal, characteristic, complemented
3#13071730C211yesmaximal, characteristic, complemented
4#13071721C211yesmaximal, characteristic, complemented
5#13071719C211yesmaximal, characteristic, complemented
6#13071713C211yesmaximal, characteristic, complemented
7#13071644C211yesmaximal, characteristic, complemented
8#13071622C211yesmaximal, characteristic, complemented
9#13071610C211yesmaximal, characteristic
10#13071608C211yesmaximal, characteristic
11#13071582C211yesmaximal, characteristic, complemented
12#13071539C211yesmaximal, characteristic
13#13071502C211yesmaximal, characteristic, complemented
14#13071486C211yesmaximal, characteristic, complemented
15#13071476C211yesmaximal, characteristic, complemented
16#13071470C211yesmaximal, characteristic, complemented
17C4×#66923C211yesmaximal, characteristic, complemented
18C4×#66942C211yesmaximal, characteristic, complemented
19C4×#66942C211yesmaximal, characteristic, complemented
20C4×#66951C211yesmaximal, characteristic, complemented
21C4×#66929C211yesmaximal, characteristic, complemented
22C4×#66949C211yesmaximal, characteristic, complemented
23C4×#66931C211yesmaximal, characteristic, complemented
24C4×#66939C211yesmaximal, characteristic
25C4×#66982C211yesmaximal, characteristic
26C42×Dic22C211yesmaximal, characteristic, complemented
27C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic
28C4×#66925C211yesmaximal, characteristic, complemented
29C4×#66930C211yesmaximal, characteristic, complemented
30C2×C4×Dic11⋊C4C211yesmaximal, characteristic, complemented
31C4×C11×#117C211yesmaximal, characteristic, complemented
32C2×C11×#117C2211yescharacteristic
33C2×C11×#117C2211yescharacteristic
34C22×C42×C11C2211yescharacteristic
35C2×#66982C2211yescharacteristic
36C2×C4×C22⋊D11C2211yescharacteristic
37C22×Dic11⋊C4C2211yescharacteristic
38C22×Dic11⋊C4C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic
40C22×C4×Dic11C2211yescharacteristic
41#10623062C4116yesdirect product factor
42C2×#66951C2211yescharacteristic
43C2×#66949C2211yescharacteristic
44C2×#66942C2211yescharacteristic
45C2×#66942C2211yescharacteristic
46C2×#66939C2211yescharacteristic
47C2×(C22⋊D11)⋊C4C2211yescharacteristic
48C2×(C22⋊D11)⋊C4C2211yescharacteristic
49C2×#66931C2211yescharacteristic
50C2×#66930C2211yescharacteristic
51C2×#66930C2211yescharacteristic
52C2×#66929C2211yescharacteristic
53C2×#66925C2211yescharacteristic
54C2×#66925C2211yescharacteristic
55C2×C42×D11C2211yescharacteristic
56C2×#66923C2211yescharacteristic
57C2×C4×Dic22C2211yescharacteristic
58C2×C4×Dic22C2211yescharacteristic
59C2×C4×Dic22C2211yescharacteristic
60C4×C11×C4⋊C4C2211yescharacteristic
61C4×C11×C4⋊C4C2211yescharacteristic
62C4×C11×C4⋊C4C2211yescharacteristic
63C4×C11×C4⋊C4C2211yescharacteristic
64C4×C11×C22⋊C4C2211yescharacteristic
65C4×C11×C22⋊C4C2211yescharacteristic
66C4×C11×C22⋊C4C2211yescharacteristic
67C4×C11×C22⋊C4C2211yescharacteristic
68C11×#376C2211yescharacteristic
69C11×#376C2211yescharacteristic
70C43×C11C2211yescharacteristic
71C43×C11C2211yescharacteristic
72#10622826C2211yescharacteristic
73#10622824C2211yescharacteristic
74#10622823C2211yescharacteristic
75C4×C22⋊Dic11C2211yescharacteristic
76C2×C11⋊#95C2211yescharacteristic
77C2×C11⋊#95C2211yescharacteristic
78#10622603C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622594C2211yescharacteristic
81#10622594C2211yescharacteristic
82#10622594C2211yescharacteristic
83#10622594C2211yescharacteristic
84#10622591C2211yescharacteristic
85#10622591C2211yescharacteristic
86#10622591C2211yescharacteristic
87#10622585C2211yescharacteristic
88#10622585C2211yescharacteristic
89#10622585C2211yescharacteristic
90#10622571C2211yescharacteristic
91#10622563C2211yescharacteristic
92#10622563C2211yescharacteristic
93#10622559C2211yescharacteristic
94#10622556C2211yescharacteristic
95#10622555C2211yescharacteristic
96C22⋊C4×Dic11C2211yescharacteristic
97C22⋊C4×Dic11C2211yescharacteristic
98C22⋊C4×Dic11C2211yescharacteristic
99C22⋊C4×Dic11C2211yescharacteristic
100#10622553C2211yescharacteristic
101#10622553C2211yescharacteristic
102#10622553C2211yescharacteristic
103#10622553C2211yescharacteristic
104#10622553C2211yescharacteristic
105C4×(C2×D11)⋊C4C2211yescharacteristic
106C4×(C2×D11)⋊C4C2211yescharacteristic
107C4×(C2×D11)⋊C4C2211yescharacteristic
108C4×(C2×D11)⋊C4C2211yescharacteristic
109C4×(C2×D11)⋊C4C2211yescharacteristic
110C4×(C2×D11)⋊C4C2211yescharacteristic
111C4×(C2×D11)⋊C4C2211yescharacteristic
112#10622550C2211yescharacteristic
113#10622549C2211yescharacteristic
114C4×C4⋊Dic11C2211yescharacteristic
115C4×C4⋊Dic11C2211yescharacteristic
116C4×C4⋊Dic11C2211yescharacteristic
117C4×C4⋊Dic11C2211yescharacteristic
118C4×C4⋊Dic11C2211yescharacteristic
119#10622546C2211yescharacteristic
120#10622546C2211yescharacteristic
121#10622546C2211yescharacteristic
122#10622546C2211yescharacteristic
123#10622546C2211yescharacteristic
124#10622546C2211yescharacteristic
125#10622546C2211yescharacteristic
126#10622546C2211yescharacteristic
127#10622546C2211yescharacteristic
128#10622545C2211yescharacteristic
129#10622545C2211yescharacteristic
130C4×Dic11⋊C4C2211yescharacteristic
131C4×Dic11⋊C4C2211yescharacteristic
132C4×Dic11⋊C4C2211yescharacteristic
133C4×Dic11⋊C4C2211yescharacteristic
134C4×Dic11⋊C4C2211yescharacteristic
135C4×Dic11⋊C4C2211yescharacteristic
136C4×Dic11⋊C4C2211yescharacteristic
137C4×Dic11⋊C4C2211yescharacteristic
138C4×Dic11⋊C4C2211yescharacteristic
139C4×Dic11⋊C4C2211yescharacteristic
140C4×Dic11⋊C4C2211yescharacteristic
141C4×Dic11⋊C4C2211yescharacteristic
142C4×Dic11⋊C4C2211yescharacteristic
143C4×Dic11⋊C4C2211yescharacteristic
144C4×Dic11⋊C4C2211yescharacteristic
145C4×Dic11⋊C4C2211yescharacteristic
146C4×Dic11⋊C4C2211yescharacteristic
147C4×Dic11⋊C4C2211yescharacteristic
148C4×Dic11⋊C4C2211yescharacteristic
149C4×Dic11⋊C4C2211yescharacteristic
150C4×Dic11⋊C4C2211yescharacteristic
151C42×Dic11C2211yescharacteristic
152C42×Dic11C2211yescharacteristic
153C42×Dic11C2211yescharacteristic
154#10622541C2211yescharacteristic
155#10622541C2211yescharacteristic
156#10622283C2211yescharacteristic
157#10622283C2211yescharacteristic
158#10622283C2211yescharacteristic
159#10622282C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622280C2211yescharacteristic
162#10622279C2211yescharacteristic
163#10622279C2211yescharacteristic
164#10622268C2211yescharacteristic
165#10622267C2211yescharacteristic
166#10622267C2211yescharacteristic
167#10622266C2211yescharacteristic
168#10622266C2211yescharacteristic
169#10622266C2211yescharacteristic
170#10622266C2211yescharacteristic
171#10622265C2211yescharacteristic
172#10622265C2211yescharacteristic
173#10622265C2211yescharacteristic
174#10622264C2211yescharacteristic
175#10622263C2211yescharacteristic
176#10622263C2211yescharacteristic
177#10622262C2211yescharacteristic
178#10622262C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622261C2211yescharacteristic
182#10622261C2211yescharacteristic
183#10622260C2211yescharacteristic
184#10622260C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×Dic22C2311yescharacteristic
200C11×#117—24no—
201C11×#117C2×C418yescomplemented
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C42×C11—24no—
211C2×C42×C11C2311yescharacteristic
212C2×C42×C11C2311yescharacteristic
213C2×C42×C11C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230#66982C2×C418yes—
231C4×C22⋊D11—24no—
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×C4⋊Dic11C2311yescharacteristic
244C2×C4⋊Dic11C2311yescharacteristic
245C2×C4⋊Dic11C2311yescharacteristic
246C2×C4⋊Dic11C2311yescharacteristic
247C2×C4⋊Dic11C2311yescharacteristic
248C2×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×Dic11⋊C4—24no—
251C2×Dic11⋊C4C2×C418yescomplemented
252C2×Dic11⋊C4C2311yescharacteristic
253C2×Dic11⋊C4C2311yescharacteristic
254C2×Dic11⋊C4C2311yescharacteristic
255C2×Dic11⋊C4C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×C4×Dic11—24no—
278C2×C4×Dic11—24no—
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290C2×C4×Dic11C2311yescharacteristic
291C2×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304#66951C2×C418yescomplemented
305#66949C2×C418yescomplemented
306#66942C2×C418yescomplemented
307#66942C2×C418yescomplemented
308#66939C2×C418yes—
309(C22⋊D11)⋊C4—24no—
310(C22⋊D11)⋊C4C2×C418yes—
311#66931C2×C418yescomplemented
312#66930—24no—
313#66930C2×C418yescomplemented
314#66929C2×C418yescomplemented
315#66925—24no—
316#66925C2×C418yescomplemented
317C42×D11—24no—
318#66923C2×C418yescomplemented
319C4×Dic22—24no—
320C4×Dic22—24no—
321C4×Dic22C2×C418yescomplemented
322C11×#95C2311yescharacteristic
323C11×#95C2311yescharacteristic
324C11×#95C2311yescharacteristic
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C4×#552—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C23×D11C2411yescharacteristic
373C22×C4×C11—22no—
374C22×C4×C11—22no—
375C22×C4×C11—22no—
376C22×C4×C11—22no—
377C22×C4×C11—22no—
378C22×C4×C11—22no—
379C22×C4×C11—41no—
380C22×C4×C11C22×C414yes—
381C22×C4×C11#4114yes—
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C2×C22⋊D11—22no—
397C2×C22⋊D11—22no—
398C2×C22⋊D11C22×C414yes—
399C22×Dic11—22no—
400C22×Dic11—22no—
401C22×Dic11—22no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—22no—
405C22×Dic11—22no—
406C22×Dic11—22no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11C22×C414yes—
410C22×Dic11C22×C414yes—
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—41no—
434C2×C4×D11C22×C414yes—
435C2×Dic22—22no—
436C2×Dic22—22no—
437C2×Dic22C22×C414yes—
438C11×C4⋊C4—22no—
439C11×C4⋊C4—22no—
440C11×C4⋊C4C22×C414yes—
441C11×C4⋊C4C22×C414yes—
442C11×C22⋊C4—22no—
443C11×C22⋊C4C22×C414yes—
444C11×C22⋊C4C22×C414yes—
445C11×C22⋊C4#4114yes—
446C42×C11—22no—
447C42×C11—22no—
448C42×C11—22no—
449C42×C11—22no—
450C42×C11—22no—
451C42×C11—22no—
452C42×C11—22no—
453C42×C11—22no—
454C42×C11—22no—
455C42×C11—22no—
456C42×C11—22no—
457C42×C11—22no—
458C42×C11—41no—
459C42×C11—41no—
460C42×C11C22×C414yes—
461C42×C11C22×C414yes—
462C22⋊Dic11—22no—
463C22⋊Dic11—22no—
464C22⋊Dic11C22×C414yes—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—41no—
470(C2×D11)⋊C4—41no—
471(C2×D11)⋊C4C22×C414yes—
472(C2×D11)⋊C4C22×C414yes—
473(C2×D11)⋊C4C22×C414yes—
474(C2×D11)⋊C4C22×C414yes—
475(C2×D11)⋊C4C22×C414yes—
476C4⋊Dic11—22no—
477C4⋊Dic11—22no—
478C4⋊Dic11—41no—
479C4⋊Dic11—41no—
480C4⋊Dic11C22×C414yes—
481C4⋊Dic11C22×C414yes—
482C4⋊Dic11C22×C414yes—
483Dic11⋊C4—22no—
484Dic11⋊C4—22no—
485Dic11⋊C4—22no—
486Dic11⋊C4—22no—
487Dic11⋊C4—22no—
488Dic11⋊C4—22no—
489Dic11⋊C4—22no—
490Dic11⋊C4—22no—
491Dic11⋊C4—22no—
492Dic11⋊C4—22no—
493Dic11⋊C4—22no—
494Dic11⋊C4—41no—
495Dic11⋊C4—41no—
496Dic11⋊C4C22×C414yes—
497Dic11⋊C4C22×C414yes—
498Dic11⋊C4C22×C414yes—
499Dic11⋊C4C22×C414yes—
500Dic11⋊C4C22×C414yes—
501Dic11⋊C4C22×C414yes—
502Dic11⋊C4C22×C414yes—
503Dic11⋊C4C22×C414yes—
504Dic11⋊C4C22×C414yes—
505Dic11⋊C4C22×C414yes—
506Dic11⋊C4C22×C414yes—
507Dic11⋊C4#4114yes—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—22no—
514C4×Dic11—22no—
515C4×Dic11—22no—
516C4×Dic11—22no—
517C4×Dic11—22no—
518C4×Dic11—22no—
519C4×Dic11—22no—
520C4×Dic11—22no—
521C4×Dic11—22no—
522C4×Dic11—22no—
523C4×Dic11—22no—
524C4×Dic11—22no—
525C4×Dic11—22no—
526C4×Dic11—41no—
527C4×Dic11—41no—
528C4×Dic11—41no—
529C4×Dic11C22×C414yes—
530C4×Dic11C22×C414yes—
531C4×Dic11C22×C414yes—
532C4×Dic11#4114yes—
533C2×#552—111no—
534#2373—111no—
535#2373—111no—
536#2371—111no—
537#2371—111no—
538#2370—111no—
539#2362—111no—
540#2360—111no—
541#2359—111no—
542#2359—111no—
543#2356—111no—
544#2352—111no—
545#2346—111no—
546#2344—111no—
547#2343—111no—
548#2343—111no—
549C4×#125—111no—
550C4×#125—111no—
551C4×#125—111no—
552C4×#126—111no—
553C4×#126—111no—
554C4×C22⋊Q8—111no—
555C4×C22⋊Q8—111no—
556C4×#123—111no—
557C4×#123—111no—
558C42×Q8—111no—
559C42×D4—111no—
560C4×#117—111no—
561C4×#117—111no—
562C4×#117D1111yescharacteristic, complemented
563C2×C4×C4⋊C4—111no—
564C23×C11—21no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11C23×C412yes—
569C23×C11C2×#4112yes—
570C23×C11C2×#4112yes—
571C23×C11C2511yescharacteristic
572C22×D11—21no—
573C22×D11—21no—
574C22×D11—21no—
575C22×D11—21no—
576C22×D11—21no—
577C22×D11—21no—
578C22×D11C23×C412yes—
579C2×C4×C11—28no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—28no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—44no—
611C2×C4×C11C23×C412yes—
612C2×C4×C11C23×C412yes—
613C2×C4×C11C23×C412yes—
614C2×C4×C11C23×C412yes—
615C2×C4×C11C23×C412yes—
616C2×C4×C11C23×C412yes—
617C2×C4×C11C2×#4112yes—
618C2×C4×C11C2×#4112yes—
619C2×C4×C11C2×#4112yes—
620C2×C4×C11C2×#4112yes—
621C2×C4×C11C2×#4112yes—
622C2×C4×C11C2×#4112yes—
623C2×C4×C112−1+412yes—
624C22⋊D11—28no—
625C2×Dic11—28no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—28no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—44no—
662C2×Dic11—44no—
663C2×Dic11C23×C412yes—
664C2×Dic11C23×C412yes—
665C2×Dic11C23×C412yes—
666C2×Dic11C23×C412yes—
667C2×Dic11C23×C412yes—
668C2×Dic11C23×C412yes—
669C2×Dic11C23×C412yes—
670C2×Dic11C2×#4112yes—
671C2×Dic11C2×#4112yes—
672C2×Dic11C2×#4112yes—
673C2×Dic11C2×#4112yes—
674C4×D11—28no—
675C4×D11—44no—
676C4×D11—44no—
677Dic22—28no—
678#552—1116no—
679C2×#126—111no—
680C2×#126—111no—
681C2×#125—111no—
682C2×#125—111no—
683C2×#125—111no—
684C2×#123—111no—
685C2×#123—111no—
686C2×C22⋊Q8—111no—
687C2×C22⋊Q8—111no—
688C2×C4×Q8—111no—
689C2×C4×Q8—111no—
690C2×C4×Q8—111no—
691C2×C4×D4—111no—
692C2×C4×D4—111no—
693C2×C4×D4—111no—
694C2×#117—111no—
695C2×#117—111no—
696C2×#117—111no—
697C2×#117—111no—
698C2×#117C2×D1111yescharacteristic
699C2×#117C2×D1111yescharacteristic
700C22×C4⋊C4—111no—
701C22×C4⋊C4—111no—
702C22×C42—111no—
703C22×C42—111no—
704C22×C42—111no—
705C22×C42C2×D1111yescharacteristic
706#391—111no—
707#391—111no—
708#389—111no—
709#389—111no—
710#389—111no—
711#389—111no—
712#389—111no—
713#389—111no—
714#389—111no—
715#389—111no—
716#388—111no—
717#388—111no—
718#388—111no—
719#388—111no—
720#388—111no—
721#388—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#387—111no—
727#387—111no—
728#387—111no—
729#387—111no—
730#387—111no—
731#387—111no—
732#387—111no—
733#387—111no—
734#387—111no—
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387—111no—
744#387—111no—
745#387—111no—
746#387—111no—
747#387—111no—
748#387—111no—
749#387—111no—
750#387—111no—
751#387—111no—
752#386—111no—
753#386—111no—
754#385—111no—
755#385—111no—
756#385—111no—
757#385—111no—
758#385—111no—
759#385—111no—
760#383—111no—
761#383—111no—
762#382—111no—
763#382—111no—
764#382—111no—
765#381—111no—
766#381—111no—
767#380—111no—
768#380—111no—
769C4×C4⋊C4—111no—
770C4×C4⋊C4—111no—
771C4×C4⋊C4—111no—
772C4×C4⋊C4—111no—
773C4×C4⋊C4—111no—
774C4×C4⋊C4—111no—
775C4×C4⋊C4—111no—
776C4×C4⋊C4—111no—
777C4×C4⋊C4—111no—
778C4×C4⋊C4—111no—
779C4×C4⋊C4—111no—
780C4×C4⋊C4—111no—
781C4×C4⋊C4—111no—
782C4×C4⋊C4—111no—
783C4×C4⋊C4—111no—
784C4×C4⋊C4—111no—
785C4×C4⋊C4—111no—
786C4×C4⋊C4—111no—
787C4×C4⋊C4—111no—
788C4×C4⋊C4—111no—
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4—111no—
793C4×C4⋊C4—111no—
794C4×C4⋊C4—111no—
795C4×C4⋊C4—111no—
796C4×C4⋊C4—111no—
797C4×C4⋊C4—111no—
798C4×C4⋊C4—111no—
799C4×C4⋊C4C2×D1111yescharacteristic
800C4×C4⋊C4C2×D1111yescharacteristic
801C4×C4⋊C4C2×D1111yescharacteristic
802C4×C4⋊C4C2×D1111yescharacteristic
803C4×C22⋊C4—111no—
804C4×C22⋊C4—111no—
805C4×C22⋊C4—111no—
806C4×C22⋊C4—111no—
807C4×C22⋊C4—111no—
808C4×C22⋊C4—111no—
809C4×C22⋊C4—111no—
810C4×C22⋊C4—111no—
811C4×C22⋊C4—111no—
812C4×C22⋊C4—111no—
813C4×C22⋊C4—111no—
814C4×C22⋊C4—111no—
815C4×C22⋊C4—111no—
816C4×C22⋊C4—111no—
817C4×C22⋊C4C2×D1111yescharacteristic
818C4×C22⋊C4C2×D1111yescharacteristic
819C4×C22⋊C4C2×D1111yescharacteristic
820C4×C22⋊C4C2×D1111yescharacteristic
821#376—111no—
822#376—111no—
823#376—111no—
824#376—111no—
825#376C2×D1111yescharacteristic
826#376C2×D1111yescharacteristic
827C2×#95—111no—
828C2×#95—111no—
829C43—111no—
830C43—111no—
831C43—111no—
832C43C2×D1111yescharacteristic
833C43C2×D1111yescharacteristic
834C22×C11—22no—
835C22×C11—22no—
836C22×C11—22no—
837C22×C11—22no—
838C22×C11—22no—
839C22×C11—22no—
840C22×C11C4×#4114yes—
841C22×C11C24×C411yescharacteristic
842C22×C11C22×#4111yescharacteristic
843C22×C11C22×#4111yescharacteristic
844C22×C11C22×#4111yescharacteristic
845C22×C11C22×#4111yescharacteristic
846C22×C11C2×2−1+411yescharacteristic
847C22×C11#58511yescharacteristic
848C2×D11—22no—
849C2×D11—22no—
850C2×D11—22no—
851C2×D11—41no—
852C2×D11—41no—
853C2×D11—41no—
854C2×D11—41no—
855C4×C11—22no—
856C4×C11—22no—
857C4×C11—22no—
858C4×C11—22no—
859C4×C11—22no—
860C4×C11—22no—
861C4×C11—22no—
862C4×C11—22no—
863C4×C11—22no—
864C4×C11—22no—
865C4×C11—41no—
866C4×C11—41no—
867C4×C11—41no—
868C4×C11#55214yescomplemented
869Dic11—22no—
870Dic11—22no—
871Dic11—22no—
872Dic11—22no—
873Dic11—22no—
874Dic11—22no—
875Dic11—22no—
876Dic11—22no—
877Dic11—41no—
878Dic11—41no—
879Dic11—41no—
880Dic11—41no—
881Dic11—41no—
882Dic11—41no—
883Dic11C4×#4114yes—
884C22×Q8—111no—
885C22×D4—111no—
886C23×C4—111no—
887C23×C4—111no—
888C23×C4—111no—
889C23×C4—111no—
890C23×C4—111no—
891C23×C4—111no—
892C23×C4—111no—
893C23×C4C22×D1111yescharacteristic
894C23×C4C22×D1111yescharacteristic
895C23×C4C22×D1111yescharacteristic
896#126—118no—
897#126—118no—
898#125—118no—
899#125—118no—
900#125—118no—
901#123—118no—
902#123—118no—
903C22⋊Q8—118no—
904C22⋊Q8—118no—
905C4×Q8—118no—
906C4×Q8—224no—
907C4×Q8—224no—
908C4×D4—118no—
909C4×D4—224no—
910C4×D4—224no—
911#117—24no—
912#117—118no—
913#117—118no—
914#117—224no—
915#117—224no—
916#117C4×D1118yescomplemented
917C2×C4⋊C4—118no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4—111no—
930C2×C4⋊C4—111no—
931C2×C4⋊C4—111no—
932C2×C4⋊C4—111no—
933C2×C4⋊C4—111no—
934C2×C4⋊C4—111no—
935C2×C4⋊C4—111no—
936C2×C4⋊C4—111no—
937C2×C4⋊C4—111no—
938C2×C4⋊C4—111no—
939C2×C4⋊C4—111no—
940C2×C4⋊C4—111no—
941C2×C4⋊C4—111no—
942C2×C4⋊C4—111no—
943C2×C4⋊C4—111no—
944C2×C4⋊C4—111no—
945C2×C4⋊C4—111no—
946C2×C4⋊C4—111no—
947C2×C4⋊C4—111no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—224no—
951C2×C4⋊C4C22×D1111yescharacteristic
952C2×C4⋊C4C22×D1111yescharacteristic
953C2×C4⋊C4C22×D1111yescharacteristic
954C2×C4⋊C4C22×D1111yescharacteristic
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—111no—
962C2×C22⋊C4—111no—
963C2×C22⋊C4—111no—
964C2×C22⋊C4—111no—
965C2×C22⋊C4—111no—
966C2×C22⋊C4—111no—
967C2×C22⋊C4—111no—
968C2×C22⋊C4—111no—
969C2×C22⋊C4C22×D1111yescharacteristic
970C2×C22⋊C4C22×D1111yescharacteristic
971C2×C22⋊C4C22×D1111yescharacteristic
972C2×C22⋊C4C22×D1111yescharacteristic
973C2×C42—24no—
974C2×C42—111no—
975C2×C42—111no—
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—111no—
983C2×C42—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42—111no—
991C2×C42—111no—
992C2×C42—111no—
993C2×C42—111no—
994C2×C42—111no—
995C2×C42—111no—
996C2×C42—111no—
997C2×C42—111no—
998C2×C42—111no—
999C2×C42—224no—
1000C2×C42—224no—
1001C2×C42—224no—
1002C2×C42C22×D1111yescharacteristic
1003C2×C42C22×D1111yescharacteristic
1004C2×C42C22×D1111yescharacteristic
1005C2×C42C22×D1111yescharacteristic
1006C2×C42C22×D1111yescharacteristic
1007C2×C42C22×D1111yescharacteristic
1008C2×C42C22×D1111yescharacteristic
1009C2×C42C22×D1111yescharacteristic
1010C2×C42C22×D1111yescharacteristic
1011C2×C42C22×D1111yescharacteristic
1012C2×C42C22×D1111yescharacteristic
1013C2×C42C22×D1111yescharacteristic
1014C2×C42C22×D1111yescharacteristic
1015C2×C42C22×D1111yescharacteristic
1016C2×C42C22×D1111yescharacteristic
1017C2×C42C22×D1111yescharacteristic
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95—111no—
1040#95—111no—
1041#95—111no—
1042#95—111no—
1043#95—111no—
1044#95—111no—
1045#95—111no—
1046#95—111no—
1047#95—111no—
1048#95—111no—
1049#95—111no—
1050#95—111no—
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95C22×D1111yescharacteristic
1059#95C22×D1111yescharacteristic
1060#95C22×D1111yescharacteristic
1061#95C22×D1111yescharacteristic
1062#95C22×D1111yescharacteristic
1063#95C22×D1111yescharacteristic
1064#95C22×D1111yescharacteristic
1065#95C22×D1111yescharacteristic
1066C2×C11—24no—
1067C2×C11C2×C4×#4111yescharacteristic
1068C2×C11C2×C4×#4111yescharacteristic
1069C2×C11C4×2−1+411yescharacteristic
1070C2×C11C2×#55211yescharacteristic
1071C2×C11#347511yescharacteristic
1072C2×C11#347511yescharacteristic
1073C2×C11#348211yescharacteristic
1074D11—42no—
1075C24—111no—
1076C24C23×D1111yescharacteristic
1077C2×Q8—114no—
1078C2×Q8—222no—
1079C2×Q8—222no—
1080C2×D4—114no—
1081C2×D4—222no—
1082C2×D4—222no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—41no—
1090C22×C4—111no—
1091C22×C4—114no—
1092C22×C4—114no—
1093C22×C4—111no—
1094C22×C4—111no—
1095C22×C4—111no—
1096C22×C4—111no—
1097C22×C4—111no—
1098C22×C4—111no—
1099C22×C4—111no—
1100C22×C4—111no—
1101C22×C4—114no—
1102C22×C4—111no—
1103C22×C4—111no—
1104C22×C4—111no—
1105C22×C4—111no—
1106C22×C4—111no—
1107C22×C4—111no—
1108C22×C4—222no—
1109C22×C4—222no—
1110C22×C4—222no—
1111C22×C4—222no—
1112C22×C4—222no—
1113C22×C4—222no—
1114C22×C4—222no—
1115C22×C4—222no—
1116C22×C4—222no—
1117C22×C4—222no—
1118C22×C4—222no—
1119C22×C4—222no—
1120C22×C4—222no—
1121C22×C4—222no—
1122C22×C4—222no—
1123C22×C4—441no—
1124C22×C4—441no—
1125C22×C4—441no—
1126C22×C4C2×C4×D1114yes—
1127C22×C4#433914yes—
1128C22×C4C23×D1111yescharacteristic
1129C22×C4C23×D1111yescharacteristic
1130C22×C4C23×D1111yescharacteristic
1131C22×C4C23×D1111yescharacteristic
1132C22×C4C23×D1111yescharacteristic
1133C22×C4C23×D1111yescharacteristic
1134C22×C4C23×D1111yescharacteristic
1135C22×C4C23×D1111yescharacteristic
1136C22×C4C23×D1111yescharacteristic
1137C22×C4C23×D1111yescharacteristic
1138C22×C4C23×D1111yescharacteristic
1139C22×C4C23×D1111yescharacteristic
1140C22×C4C23×D1111yescharacteristic
1141C22×C4C23×D1111yescharacteristic
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—114no—
1145C4⋊C4—114no—
1146C4⋊C4—114no—
1147C4⋊C4—114no—
1148C4⋊C4—114no—
1149C4⋊C4—114no—
1150C4⋊C4—114no—
1151C4⋊C4—114no—
1152C4⋊C4—114no—
1153C4⋊C4—114no—
1154C4⋊C4—114no—
1155C4⋊C4—114no—
1156C4⋊C4—114no—
1157C4⋊C4—114no—
1158C4⋊C4—114no—
1159C4⋊C4—222no—
1160C4⋊C4—222no—
1161C4⋊C4—222no—
1162C4⋊C4—222no—
1163C4⋊C4—222no—
1164C4⋊C4—222no—
1165C4⋊C4—222no—
1166C4⋊C4—222no—
1167C4⋊C4—222no—
1168C4⋊C4—222no—
1169C4⋊C4—222no—
1170C4⋊C4—222no—
1171C4⋊C4—222no—
1172C4⋊C4—441no—
1173C4⋊C4—441no—
1174C4⋊C4—441no—
1175C4⋊C4—441no—
1176C4⋊C4C2×C4×D1114yes—
1177C4⋊C4C2×C4×D1114yes—
1178C22⋊C4—22no—
1179C22⋊C4—114no—
1180C22⋊C4—114no—
1181C22⋊C4—114no—
1182C22⋊C4—114no—
1183C22⋊C4—114no—
1184C22⋊C4—114no—
1185C22⋊C4—222no—
1186C22⋊C4—222no—
1187C22⋊C4—222no—
1188C22⋊C4—222no—
1189C22⋊C4—222no—
1190C22⋊C4—222no—
1191C22⋊C4—441no—
1192C22⋊C4—441no—
1193C22⋊C4C2×C4×D1114yes—
1194C22⋊C4C2×C4×D1114yes—
1195C22⋊C4#433914yes—
1196C42—22no—
1197C42—22no—
1198C42—22no—
1199C42—22no—
1200C42—22no—
1201C42—22no—
1202C42—22no—
1203C42—22no—
1204C42—22no—
1205C42—22no—
1206C42—22no—
1207C42—22no—
1208C42—41no—
1209C42—41no—
1210C42—114no—
1211C42—114no—
1212C42—114no—
1213C42—114no—
1214C42—222no—
1215C42—222no—
1216C42—222no—
1217C42—222no—
1218C42—222no—
1219C42—222no—
1220C42—222no—
1221C42—222no—
1222C42—222no—
1223C42—222no—
1224C42—222no—
1225C42—222no—
1226C42—222no—
1227C42—222no—
1228C42—222no—
1229C42—222no—
1230C42—222no—
1231C42—222no—
1232C42—441no—
1233C42—441no—
1234C42—441no—
1235C42C2×C4×D1114yes—
1236C42C2×C4×D1114yes—
1237C11C4×#55211yescharacteristic, complemented, Sylow
1238C23—21no—
1239C23—21no—
1240C23—21no—
1241C23—21no—
1242C23—112no—
1243C23—221no—
1244C23—221no—
1245C23—221no—
1246C23—221no—
1247C23—221no—
1248C23—221no—
1249C23C22×C4×D1112yes—
1250C23C2×#433912yes—
1251C23C2×#433912yes—
1252C23C24×D1111yescharacteristic
1253Q8—228no—
1254D4—228no—
1255C2×C4—28no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—28no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—44no—
1287C2×C4—112no—
1288C2×C4—112no—
1289C2×C4—112no—
1290C2×C4—112no—
1291C2×C4—112no—
1292C2×C4—112no—
1293C2×C4—112no—
1294C2×C4—112no—
1295C2×C4—112no—
1296C2×C4—112no—
1297C2×C4—112no—
1298C2×C4—228no—
1299C2×C4—228no—
1300C2×C4—228no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—221no—
1329C2×C4—221no—
1330C2×C4—221no—
1331C2×C4—221no—
1332C2×C4—221no—
1333C2×C4—221no—
1334C2×C4—221no—
1335C2×C4—444no—
1336C2×C4—444no—
1337C2×C4—444no—
1338C2×C4—444no—
1339C2×C4C22×C4×D1112yes—
1340C2×C4C22×C4×D1112yes—
1341C2×C4C22×C4×D1112yes—
1342C2×C4C22×C4×D1112yes—
1343C2×C4C22×C4×D1112yes—
1344C2×C4C22×C4×D1112yes—
1345C2×C4C2×#433912yes—
1346C2×C4C2×#433912yes—
1347C2×C4C2×#433912yes—
1348C2×C4C2×#433912yes—
1349C2×C4#41×D1112yes—
1350C2×C4#41×D1112yes—
1351C2×C4#6704312yes—
1352C22—22no—
1353C22—22no—
1354C22—22no—
1355C22—22no—
1356C22—22no—
1357C22—22no—
1358C22—222no—
1359C22—222no—
1360C22—222no—
1361C22—441no—
1362C22—441no—
1363C22—441no—
1364C22—441no—
1365C22C4×#433914yes—
1366C22C23×C4×D1111yescharacteristic
1367C22C22×#433911yescharacteristic
1368C22C22×#433911yescharacteristic
1369C22C2×#41×D1111yescharacteristic
1370C22C2×#41×D1111yescharacteristic
1371C22C2×#6704311yescharacteristic
1372C22#1062345311yescharacteristic
1373C4—22no—
1374C4—22no—
1375C4—22no—
1376C4—22no—
1377C4—22no—
1378C4—22no—
1379C4—22no—
1380C4—22no—
1381C4—22no—
1382C4—22no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—114no—
1387C4—222no—
1388C4—222no—
1389C4—222no—
1390C4—222no—
1391C4—222no—
1392C4—222no—
1393C4—222no—
1394C4—222no—
1395C4—441no—
1396C4—441no—
1397C4—441no—
1398C4—441no—
1399C4—441no—
1400C4—441no—
1401C4#1062306214yesdirect product factor
1402C2—24no—
1403C2—442no—
1404C2C4×#41×D1111yescharacteristic
1405C2C2×C4×#433911yescharacteristic
1406C2C4×#6704311yescharacteristic
1407C2C2×#1062306211yescharacteristic
1408C2#1308217011yescharacteristic
1409C2#1308217811yescharacteristic
1410C2#1308223111yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC4×C11×#117C2
socle, cosocleC23×C11C25
prime radicalC22×C22⋊D11C23
hypercenterC4×#117D11
hypocenterC11C4×#552
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#117

Complements

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

NH ≅ G/Ntype
2. #13071736C2semidirect
3. #13071730C2semidirect
4. #13071721C2semidirect
5. #13071719C2semidirect
6. #13071713C2semidirect
7. #13071644C2semidirect
8. #13071622C2semidirect
11. #13071582C2semidirect
13. #13071502C2semidirect
14. #13071486C2semidirect
15. #13071476C2semidirect
16. #13071470C2semidirect
17. C4×#66923C2semidirect
18. C4×#66942C2semidirect
19. C4×#66942C2semidirect
20. C4×#66951C2semidirect
21. C4×#66929C2semidirect
22. C4×#66949C2semidirect
23. C4×#66931C2semidirect
26. C42×Dic22C2semidirect
28. C4×#66925C2semidirect
29. C4×#66930C2semidirect
30. C2×C4×Dic11⋊C4C2semidirect
31. C4×C11×#117C2semidirect
41. #10623062C4direct (N × H)
201. C11×#117C2×C4semidirect
251. C2×Dic11⋊C4C2×C4semidirect
304. #66951C2×C4semidirect
305. #66949C2×C4semidirect
306. #66942C2×C4semidirect
307. #66942C2×C4semidirect
311. #66931C2×C4semidirect
313. #66930C2×C4semidirect
314. #66929C2×C4semidirect
316. #66925C2×C4semidirect
318. #66923C2×C4semidirect
321. C4×Dic22C2×C4semidirect
562. C4×#117D11semidirect
868. C4×C11#552semidirect
916. #117C4×D11semidirect
1237. C11C4×#552semidirect
1401. C4#10623062direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106230622
#130717362
#130717302
#130717212
#130717192
#130717132
#130716442
#130716222
#130716102
#130716082
#130715822
#130715392
#130715022
#130714862
#130714762
#130714702
C4×#669232
C4×#669422
C4×#669512
C4×#669292
C4×#669492
C4×#669312
C4×#669392
C4×#669822
C42×Dic222
C4×(C22⋊D11)⋊C42
C4×#669252
C4×#669302
C2×C4×Dic11⋊C42
C4×C11×#1172
C4×#55211