Finite Group Databasebeta

← #14917379

Subgroups — #14917379

Order 2816.

2182 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623193C211yesmaximal, characteristic
2#13071789C211yesmaximal, characteristic, complemented
3#13071786C211yesmaximal, characteristic, complemented
4#13071765C211yesmaximal, characteristic, complemented
5#13071702C211yesmaximal, characteristic, complemented
6#13071690C211yesmaximal, characteristic, complemented
7#13071686C211yesmaximal, characteristic, complemented
8#13071682C211yesmaximal, characteristic, complemented
9#13071682C211yesmaximal, characteristic, complemented
10#13071671C211yesmaximal, characteristic, complemented
11#13071612C211yesmaximal, characteristic, complemented
12#13071607C211yesmaximal, characteristic, complemented
13#13071570C211yesmaximal, characteristic, complemented
14#13071560C211yesmaximal, characteristic, complemented
15#13071535C211yesmaximal, characteristic, complemented
16#13071520C211yesmaximal, characteristic, complemented
17#13071398C211yesmaximal, characteristic, complemented
18#13071397C211yesmaximal, characteristic, complemented
19#13071389C211yesmaximal, characteristic, complemented
20#13071384C211yesmaximal, characteristic, complemented
21#13071350C211yesmaximal, characteristic, complemented
22#13071346C211yesmaximal, characteristic, complemented
23#13071302C211yesmaximal, characteristic
24#13071297C211yesmaximal, characteristic, complemented
25#13071295C211yesmaximal, characteristic, complemented
26#13071294C211yesmaximal, characteristic, complemented
27#13071220C211yesmaximal, characteristic, complemented
28#13071148C211yesmaximal, characteristic, complemented
29#13071126C211yesmaximal, characteristic
30#13071095C211yesmaximal, characteristic, complemented
31C11×#2376C211yesmaximal, characteristic, complemented
32C2×C11×#123C2211yescharacteristic
33C2×#66992C2211yescharacteristic
34C2×#66989C2211yescharacteristic
35C2×D4×Dic11C2211yescharacteristic
36C2×C4×C22⋊D11C2211yescharacteristic
37C2×#66979C2211yescharacteristic
38C2×#66977C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic
40#10623193C4116yescomplemented
41C2×#66951C2211yescharacteristic
42C2×#66949C2211yescharacteristic
43C2×#66945C2211yescharacteristic
44C2×#66941C2211yescharacteristic
45C2×#66940C2211yescharacteristic
46C2×#66940C2211yescharacteristic
47C2×#66940C2211yescharacteristic
48C2×#66938C2211yescharacteristic
49C2×#66938C2211yescharacteristic
50C2×#66936C2211yescharacteristic
51C2×(C22⋊D11)⋊C4C2211yescharacteristic
52C2×(C22⋊D11)⋊C4C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic
54C2×#66932C2211yescharacteristic
55C2×#66931C2211yescharacteristic
56C2×#66930C2211yescharacteristic
57C2×#66930C2211yescharacteristic
58C2×C4×Dic22C2211yescharacteristic
59C2×C4×Dic22C2211yescharacteristic
60C11×#390C2211yescharacteristic
61C11×#389C2211yescharacteristic
62C11×#389C2211yescharacteristic
63C11×#388C2211yescharacteristic
64C11×#388C2211yescharacteristic
65C11×#388C2211yescharacteristic
66C11×#388C2211yescharacteristic
67C11×#387C2211yescharacteristic
68C11×#387C2211yescharacteristic
69C11×#386C2211yescharacteristic
70C11×#385C2211yescharacteristic
71C11×#385C2211yescharacteristic
72C11×#380C2211yescharacteristic
73C11×#380C2211yescharacteristic
74#10622833C2211yescharacteristic
75#10622826C2211yescharacteristic
76#10622823C2211yescharacteristic
77#10622823C2211yescharacteristic
78C2×C11⋊#95C2211yescharacteristic
79#10622603C2211yescharacteristic
80#10622602C2211yescharacteristic
81#10622602C2211yescharacteristic
82#10622602C2211yescharacteristic
83#10622602C2211yescharacteristic
84#10622600C2211yescharacteristic
85#10622598C2211yescharacteristic
86#10622594C2211yescharacteristic
87#10622594C2211yescharacteristic
88#10622591C2211yescharacteristic
89#10622591C2211yescharacteristic
90#10622591C2211yescharacteristic
91#10622590C2211yescharacteristic
92#10622589C2211yescharacteristic
93C4⋊C4×Dic11C2211yescharacteristic
94C4⋊C4×Dic11C2211yescharacteristic
95C4⋊C4×Dic11C2211yescharacteristic
96C4⋊C4×Dic11C2211yescharacteristic
97C4⋊C4×Dic11C2211yescharacteristic
98#10622587C2211yescharacteristic
99#10622587C2211yescharacteristic
100#10622586C2211yescharacteristic
101#10622586C2211yescharacteristic
102#10622585C2211yescharacteristic
103#10622585C2211yescharacteristic
104#10622585C2211yescharacteristic
105#10622585C2211yescharacteristic
106#10622585C2211yescharacteristic
107#10622585C2211yescharacteristic
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622564C2211yescharacteristic
113#10622564C2211yescharacteristic
114#10622563C2211yescharacteristic
115#10622563C2211yescharacteristic
116#10622559C2211yescharacteristic
117#10622559C2211yescharacteristic
118#10622559C2211yescharacteristic
119#10622559C2211yescharacteristic
120#10622559C2211yescharacteristic
121#10622558C2211yescharacteristic
122#10622558C2211yescharacteristic
123#10622558C2211yescharacteristic
124#10622558C2211yescharacteristic
125#10622558C2211yescharacteristic
126#10622557C2211yescharacteristic
127#10622557C2211yescharacteristic
128#10622557C2211yescharacteristic
129#10622557C2211yescharacteristic
130#10622557C2211yescharacteristic
131#10622555C2211yescharacteristic
132#10622555C2211yescharacteristic
133C22⋊C4×Dic11C2211yescharacteristic
134C22⋊C4×Dic11C2211yescharacteristic
135C22⋊C4×Dic11C2211yescharacteristic
136C22⋊C4×Dic11C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic
138#10622553C2211yescharacteristic
139C4×(C2×D11)⋊C4C2211yescharacteristic
140C4×(C2×D11)⋊C4C2211yescharacteristic
141C4×C4⋊Dic11C2211yescharacteristic
142#10622546C2211yescharacteristic
143#10622546C2211yescharacteristic
144C4×Dic11⋊C4C2211yescharacteristic
145C4×Dic11⋊C4C2211yescharacteristic
146C4×Dic11⋊C4C2211yescharacteristic
147C4×Dic11⋊C4C2211yescharacteristic
148#10622283C2211yescharacteristic
149#10622283C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622282C2211yescharacteristic
154#10622281C2211yescharacteristic
155#10622280C2211yescharacteristic
156#10622279C2211yescharacteristic
157D11×#95C2211yescharacteristic
158#10622268C2211yescharacteristic
159#10622268C2211yescharacteristic
160#10622267C2211yescharacteristic
161#10622266C2211yescharacteristic
162#10622266C2211yescharacteristic
163#10622266C2211yescharacteristic
164#10622265C2211yescharacteristic
165#10622263C2211yescharacteristic
166#10622263C2211yescharacteristic
167#10622263C2211yescharacteristic
168#10622263C2211yescharacteristic
169#10622262C2211yescharacteristic
170#10622262C2211yescharacteristic
171#10622262C2211yescharacteristic
172#10622262C2211yescharacteristic
173#10622262C2211yescharacteristic
174#10622262C2211yescharacteristic
175#10622262C2211yescharacteristic
176#10622262C2211yescharacteristic
177#10622260C2211yescharacteristic
178#10622260C2211yescharacteristic
179#10622260C2211yescharacteristic
180#10622260C2211yescharacteristic
181#10622260C2211yescharacteristic
182#10622259C2211yescharacteristic
183#10622259C2211yescharacteristic
184#10622259C2211yescharacteristic
185#10622259C2211yescharacteristic
186#10622259C2211yescharacteristic
187#10622259C2211yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C23×Dic11C2311yescharacteristic
196C23×Dic11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C22×Dic22C2311yescharacteristic
202C22×Dic22C2311yescharacteristic
203C11×#123C2×C418yescomplemented
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236#66992C2×C418yes—
237#66989C2×C418yescomplemented
238D4×Dic11—42no—
239C4×C22⋊D11C2×C418yescomplemented
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250#66979—42no—
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258#66977C2×C418yescomplemented
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×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×C4×Dic11—42no—
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
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307#66951C2×C418yescomplemented
308#66949C2×C418yescomplemented
309#66945—42no—
310#66941C2×C418yescomplemented
311#66940—42no—
312#66940—42no—
313#66940C2×C418yescomplemented
314#66938C2×C418yescomplemented
315#66938C2×C418yescomplemented
316#66936C2×C418yescomplemented
317(C22⋊D11)⋊C4—42no—
318(C22⋊D11)⋊C4—42no—
319(C22⋊D11)⋊C4—42no—
320#66932C2×C418yescomplemented
321#66931C2×C418yescomplemented
322#66930—42no—
323#66930C2×C418yescomplemented
324C4×Dic22—42no—
325C4×Dic22—42no—
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
370#34419—111nomaximal, Sylow
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C23×D11C2411yescharacteristic
374C2×D4×C11—41no—
375C2×D4×C11—41no—
376C2×D4×C11C22×C414yes—
377C22×C4×C11—41no—
378C22×C4×C11—41no—
379C22×C4×C11—41no—
380C22×C4×C11—41no—
381C22×C4×C11—41no—
382C22×C4×C11C22×C414yes—
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⋊D11—41no—
399C2×C22⋊D11—41no—
400C2×C22⋊D11C22×C414yes—
401C2×C22⋊D11C22×C414yes—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—22no—
405C22×Dic11—22no—
406C22×Dic11—22no—
407C22×Dic11—41no—
408C22×Dic11—41no—
409C22×Dic11—41no—
410C22×Dic11—41no—
411C22×Dic11—41no—
412C22×Dic11—41no—
413C22×Dic11C22×C414yes—
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C22×Dic11C2411yescharacteristic
424C22×Dic11C2411yescharacteristic
425C22×Dic11C2411yescharacteristic
426C22×Dic11C2411yescharacteristic
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C2×C4×D11—22no—
430C2×C4×D11—41no—
431C2×C4×D11—41no—
432C2×C4×D11—41no—
433C2×C4×D11—41no—
434C2×C4×D11—41no—
435C2×C4×D11—41no—
436C2×C4×D11—41no—
437C2×C4×D11C22×C414yes—
438C2×Dic22—22no—
439C2×Dic22—22no—
440C2×Dic22—41no—
441C2×Dic22—41no—
442C2×Dic22—41no—
443C2×Dic22—41no—
444C2×Dic22C22×C414yes—
445C2×Dic22C22×C414yes—
446C2×Dic22C22×C414yes—
447C11×C4⋊C4—41no—
448C11×C4⋊C4—41no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4—41no—
453C11×C4⋊C4—41no—
454C11×C4⋊C4C22×C414yes—
455C11×C4⋊C4C22×C414yes—
456C11×C22⋊C4—41no—
457C11×C22⋊C4—41no—
458C11×C22⋊C4—41no—
459C11×C22⋊C4—41no—
460C11×C22⋊C4—41no—
461C11×C22⋊C4—41no—
462C11×C22⋊C4—41no—
463C11×C22⋊C4C22×C414yes—
464C11×C22⋊C4C22×C414yes—
465C11×C22⋊C4C22×C414yes—
466C42×C11—41no—
467C42×C11—41no—
468C42×C11—41no—
469C22⋊Dic11—22no—
470C22⋊Dic11—41no—
471C22⋊Dic11—41no—
472C22⋊Dic11—41no—
473C22⋊Dic11—41no—
474C22⋊Dic11C22×C414yes—
475C22⋊Dic11C22×C414yes—
476C22⋊Dic11C22×C414yes—
477C22⋊Dic11C22×C414yes—
478C22⋊Dic11C22×C414yes—
479(C2×D11)⋊C4—22no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4C22×C414yes—
486(C2×D11)⋊C4C22×C414yes—
487(C2×D11)⋊C4C22×C414yes—
488(C2×D11)⋊C4C22×C414yes—
489C4⋊Dic11—22no—
490C4⋊Dic11—22no—
491C4⋊Dic11—22no—
492C4⋊Dic11—41no—
493C4⋊Dic11—41no—
494C4⋊Dic11C22×C414yes—
495C4⋊Dic11C22×C414yes—
496Dic11⋊C4—22no—
497Dic11⋊C4—22no—
498Dic11⋊C4—22no—
499Dic11⋊C4—22no—
500Dic11⋊C4—22no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—41no—
504Dic11⋊C4—41no—
505Dic11⋊C4—41no—
506Dic11⋊C4—41no—
507Dic11⋊C4—41no—
508Dic11⋊C4—41no—
509Dic11⋊C4—41no—
510Dic11⋊C4—41no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4C22×C414yes—
515Dic11⋊C4C22×C414yes—
516Dic11⋊C4C22×C414yes—
517Dic11⋊C4C22×C414yes—
518Dic11⋊C4C22×C414yes—
519Dic11⋊C4C22×C414yes—
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×Dic11—41no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534C4×Dic11—41no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539C4×Dic11C22×C414yes—
540C4×Dic11C22×C414yes—
541C4×Dic11C22×C414yes—
542C4×Dic11C22×C414yes—
543C2×#542—111no—
544#2379—111no—
545#2379—111no—
546#2376—111no—
547#2376D1111yescharacteristic, complemented
548#2369—111no—
549#2367—111no—
550#2367—111no—
551#2367—111no—
552#2367—111no—
553#2365—111no—
554#2359—111no—
555#2359—111no—
556#2355—111no—
557#2354—111no—
558#2351—111no—
559#2349—111no—
560#2334—111no—
561#2334—111no—
562#2334—111no—
563#2334—111no—
564#2329—111no—
565#2329—111no—
566#2324—111no—
567#2323—111no—
568#2323—111no—
569#2323—111no—
570#2314—111no—
571C4×C22⋊Q8—111no—
572C4×#121—111no—
573#2296—111no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—21no—
585C23×C11—21no—
586C23×C11C23×C412yes—
587C23×C11C23×C412yes—
588C23×C11C2511yescharacteristic
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11C23×C412yes—
596D4×C11—44no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
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—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—44no—
632C2×C4×C11—44no—
633C2×C4×C11C23×C412yes—
634C2×C4×C11C23×C412yes—
635C2×C4×C11C23×C412yes—
636C2×C4×C11C23×C412yes—
637C2×C4×C11C23×C412yes—
638C22⋊D11—28no—
639C22⋊D11—44no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
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—28no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—44no—
676C2×Dic11—82no—
677C2×Dic11—82no—
678C2×Dic11C23×C412yes—
679C2×Dic11C23×C412yes—
680C2×Dic11C23×C412yes—
681C2×Dic11C23×C412yes—
682C2×Dic11C23×C412yes—
683C2×Dic11C23×C412yes—
684C2×Dic11C23×C412yes—
685C2×Dic11H(5,𝔽2)12yes—
686C2×Dic11H(5,𝔽2)12yes—
687C2×Dic112−1+412yes—
688C2×Dic112−1+412yes—
689C4×D11—44no—
690C4×D11—82no—
691C4×D11—82no—
692Dic22—28no—
693Dic22—44no—
694Dic22—44no—
695#542—1116no—
696C2×C4⋊Q8—111no—
697C2×#126—111no—
698C2×#126—111no—
699C2×#124—111no—
700C2×#124—111no—
701C2×#124—111no—
702C2×#123—111no—
703C2×#123C2×D1111yescharacteristic
704C2×C22⋊Q8—111no—
705C2×C22⋊Q8—111no—
706C2×C22⋊Q8—111no—
707C2×#121—111no—
708C2×C4×Q8—111no—
709C2×C4×Q8—111no—
710C2×C4×Q8—111no—
711C2×C4×Q8—111no—
712C2×C4×Q8—111no—
713C2×C4×D4—111no—
714C2×C4×D4—111no—
715C2×C4×D4—111no—
716C2×C4×D4—111no—
717C2×C4×D4—111no—
718C2×#117—111no—
719C2×#117—111no—
720C2×#117—111no—
721C2×#117—111no—
722C22×C42—111no—
723#391—111no—
724#391—111no—
725#391—111no—
726#391—111no—
727#391—111no—
728#391—111no—
729#391—111no—
730#391—111no—
731#390—111no—
732#390—111no—
733#390—111no—
734#390C2×D1111yescharacteristic
735#389—111no—
736#389—111no—
737#389—111no—
738#389—111no—
739#389—111no—
740#389—111no—
741#389—111no—
742#389—111no—
743#389—111no—
744#389—111no—
745#389—111no—
746#389—111no—
747#389—111no—
748#389—111no—
749#389C2×D1111yescharacteristic
750#389C2×D1111yescharacteristic
751#388—111no—
752#388—111no—
753#388—111no—
754#388—111no—
755#388—111no—
756#388—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388C2×D1111yescharacteristic
772#388C2×D1111yescharacteristic
773#388C2×D1111yescharacteristic
774#388C2×D1111yescharacteristic
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#387—111no—
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387C2×D1111yescharacteristic
790#387C2×D1111yescharacteristic
791#386—111no—
792#386—111no—
793#386—111no—
794#386C2×D1111yescharacteristic
795#385—111no—
796#385—111no—
797#385—111no—
798#385—111no—
799#385—111no—
800#385—111no—
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#385—111no—
808#385—111no—
809#385C2×D1111yescharacteristic
810#385C2×D1111yescharacteristic
811#384—111no—
812#382—111no—
813#382—111no—
814#382—111no—
815#382—111no—
816#382—111no—
817#380—111no—
818#380—111no—
819#380—111no—
820#380—111no—
821#380C2×D1111yescharacteristic
822#380C2×D1111yescharacteristic
823C4×C4⋊C4—111no—
824C4×C4⋊C4—111no—
825C4×C4⋊C4—111no—
826C4×C4⋊C4—111no—
827C4×C4⋊C4—111no—
828C4×C4⋊C4—111no—
829C4×C4⋊C4—111no—
830C4×C4⋊C4—111no—
831C4×C4⋊C4—111no—
832C4×C4⋊C4—111no—
833C4×C4⋊C4—111no—
834C4×C4⋊C4—111no—
835C4×C4⋊C4—111no—
836C4×C4⋊C4—111no—
837C4×C4⋊C4—111no—
838C4×C4⋊C4—111no—
839C4×C4⋊C4—111no—
840C4×C4⋊C4—111no—
841C4×C22⋊C4—111no—
842C4×C22⋊C4—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C4×C22⋊C4—111no—
846C4×C22⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C2×#95—111no—
850C2×#95—111no—
851C22×C11—22no—
852C22×C11—22no—
853C22×C11—22no—
854C22×C11—22no—
855C22×C11—22no—
856C22×C11—22no—
857C22×C11—41no—
858C22×C11—41no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11C24×C411yescharacteristic
866C22×C11C2×H(5,𝔽2)11yescharacteristic
867C22×C11C2×H(5,𝔽2)11yescharacteristic
868C22×C11C2×2−1+411yescharacteristic
869C22×C11C2×2−1+411yescharacteristic
870C22×C11#58511yescharacteristic
871C22×C11#58511yescharacteristic
872C2×D11—22no—
873C2×D11—22no—
874C2×D11—22no—
875C2×D11—41no—
876C2×D11—41no—
877C2×D11—41no—
878C2×D11—41no—
879C4×C11—22no—
880C4×C11—22no—
881C4×C11—22no—
882C4×C11—22no—
883C4×C11—22no—
884C4×C11—41no—
885C4×C11—41no—
886C4×C11—41no—
887C4×C11—41no—
888C4×C11—41no—
889C4×C11—41no—
890C4×C11—41no—
891C4×C11—41no—
892Dic11—22no—
893Dic11—22no—
894Dic11—22no—
895Dic11—22no—
896Dic11—22no—
897Dic11—22no—
898Dic11—22no—
899Dic11—22no—
900Dic11—41no—
901Dic11—41no—
902Dic11—41no—
903Dic11—41no—
904Dic11—41no—
905Dic11—41no—
906Dic11#52014yes—
907C22×Q8—111no—
908C22×Q8—111no—
909C22×Q8—111no—
910C22×D4—111no—
911C22×D4—111no—
912C22×D4C22×D1111yescharacteristic
913C23×C4—111no—
914C23×C4—111no—
915C23×C4—111no—
916C23×C4—111no—
917C23×C4—111no—
918C23×C4—111no—
919C23×C4—111no—
920C23×C4C22×D1111yescharacteristic
921C23×C4C22×D1111yescharacteristic
922C4⋊Q8—118no—
923#126—118no—
924#126—118no—
925#124—118no—
926#124—118no—
927#124—118no—
928#123—118no—
929#123C4×D1118yescomplemented
930C22⋊Q8—118no—
931C22⋊Q8—118no—
932C22⋊Q8—118no—
933#121—118no—
934C4×Q8—118no—
935C4×Q8—442no—
936C4×Q8—442no—
937C4×Q8—442no—
938C4×Q8—442no—
939C4×D4—118no—
940C4×D4—442no—
941C4×D4—442no—
942C4×D4—442no—
943C4×D4—442no—
944#117—118no—
945#117—442no—
946#117—442no—
947#117—442no—
948C2×C4⋊C4—111no—
949C2×C4⋊C4—111no—
950C2×C4⋊C4—111no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4—111no—
977C2×C4⋊C4—111no—
978C2×C4⋊C4—111no—
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C4⋊C4C22×D1111yescharacteristic
983C2×C4⋊C4C22×D1111yescharacteristic
984C2×C4⋊C4C22×D1111yescharacteristic
985C2×C4⋊C4C22×D1111yescharacteristic
986C2×C4⋊C4C22×D1111yescharacteristic
987C2×C4⋊C4C22×D1111yescharacteristic
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4C22×D1111yescharacteristic
1009C2×C22⋊C4C22×D1111yescharacteristic
1010C2×C22⋊C4C22×D1111yescharacteristic
1011C2×C22⋊C4C22×D1111yescharacteristic
1012C2×C22⋊C4C22×D1111yescharacteristic
1013C2×C22⋊C4C22×D1111yescharacteristic
1014C2×C22⋊C4C22×D1111yescharacteristic
1015C2×C22⋊C4C22×D1111yescharacteristic
1016C2×C22⋊C4C22×D1111yescharacteristic
1017C2×C22⋊C4C22×D1111yescharacteristic
1018C2×C42—111no—
1019C2×C42—111no—
1020C2×C42—111no—
1021C2×C42—111no—
1022C2×C42—111no—
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—111no—
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—442no—
1042C2×C42C22×D1111yescharacteristic
1043C2×C42C22×D1111yescharacteristic
1044C2×C42C22×D1111yescharacteristic
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#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95C22×D1111yescharacteristic
1080#95C22×D1111yescharacteristic
1081#95C22×D1111yescharacteristic
1082#95C22×D1111yescharacteristic
1083#95C22×D1111yescharacteristic
1084#95C22×D1111yescharacteristic
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089C2×C11—42no—
1090C2×C11—42no—
1091C2×C11C2×#52011yescharacteristic
1092C2×C11C4×H(5,𝔽2)11yescharacteristic
1093C2×C11C4×2−1+411yescharacteristic
1094C2×C11#353611yescharacteristic
1095C2×C11#354011yescharacteristic
1096C2×C11#355411yescharacteristic
1097C2×C11#355511yescharacteristic
1098D11—42no—
1099C24—111no—
1100C24C23×D1111yescharacteristic
1101C24C23×D1111yescharacteristic
1102C2×Q8—114no—
1103C2×Q8—114no—
1104C2×Q8—114no—
1105C2×Q8—222no—
1106C2×Q8—222no—
1107C2×Q8—441no—
1108C2×Q8—441no—
1109C2×Q8—441no—
1110C2×Q8—441no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—114no—
1114C2×D4—114no—
1115C2×D4—222no—
1116C2×D4—222no—
1117C2×D4—441no—
1118C2×D4—441no—
1119C2×D4C2×C4×D1114yes—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—111no—
1126C22×C4—114no—
1127C22×C4—111no—
1128C22×C4—111no—
1129C22×C4—111no—
1130C22×C4—111no—
1131C22×C4—111no—
1132C22×C4—111no—
1133C22×C4—111no—
1134C22×C4—111no—
1135C22×C4—114no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—222no—
1143C22×C4—222no—
1144C22×C4—222no—
1145C22×C4—222no—
1146C22×C4—222no—
1147C22×C4—222no—
1148C22×C4—441no—
1149C22×C4—441no—
1150C22×C4—441no—
1151C22×C4—441no—
1152C22×C4—441no—
1153C22×C4—441no—
1154C22×C4—441no—
1155C22×C4—441no—
1156C22×C4—441no—
1157C22×C4—441no—
1158C22×C4—441no—
1159C22×C4—441no—
1160C22×C4—441no—
1161C22×C4C2×C4×D1114yes—
1162C22×C4C23×D1111yescharacteristic
1163C22×C4C23×D1111yescharacteristic
1164C22×C4C23×D1111yescharacteristic
1165C22×C4C23×D1111yescharacteristic
1166C22×C4C23×D1111yescharacteristic
1167C22×C4C23×D1111yescharacteristic
1168C22×C4C23×D1111yescharacteristic
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—114no—
1183C4⋊C4—114no—
1184C4⋊C4—114no—
1185C4⋊C4—114no—
1186C4⋊C4—114no—
1187C4⋊C4—114no—
1188C4⋊C4—114no—
1189C4⋊C4—114no—
1190C4⋊C4—222no—
1191C4⋊C4—222no—
1192C4⋊C4—222no—
1193C4⋊C4—222no—
1194C4⋊C4—222no—
1195C4⋊C4—222no—
1196C4⋊C4—222no—
1197C4⋊C4—222no—
1198C4⋊C4—222no—
1199C4⋊C4—222no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4C2×C4×D1114yes—
1214C4⋊C4C2×C4×D1114yes—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—114no—
1223C22⋊C4—114no—
1224C22⋊C4—114no—
1225C22⋊C4—114no—
1226C22⋊C4—114no—
1227C22⋊C4—114no—
1228C22⋊C4—114no—
1229C22⋊C4—114no—
1230C22⋊C4—114no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—441no—
1234C22⋊C4—441no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C22⋊C4—441no—
1242C22⋊C4C2×C4×D1114yes—
1243C22⋊C4C2×C4×D1114yes—
1244C22⋊C4C2×C4×D1114yes—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C42—114no—
1249C42—114no—
1250C42—114no—
1251C42—114no—
1252C42—222no—
1253C42—222no—
1254C42—222no—
1255C42—222no—
1256C42—222no—
1257C42—222no—
1258C42—441no—
1259C42—441no—
1260C42—441no—
1261C42—441no—
1262C42—441no—
1263C42—441no—
1264C42—441no—
1265C42—441no—
1266C42—441no—
1267C42—441no—
1268C42—441no—
1269C42—441no—
1270C42—441no—
1271C11#3441911yescharacteristic, complemented, Sylow
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—112no—
1285C23—221no—
1286C23—221no—
1287C23—221no—
1288C23—221no—
1289C23—221no—
1290C23—221no—
1291C23C22×C4×D1112yes—
1292C23C22×C4×D1112yes—
1293C23C24×D1111yescharacteristic
1294Q8—228no—
1295Q8—444no—
1296Q8—444no—
1297D4—44no—
1298D4—228no—
1299D4—444no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—44no—
1335C2×C4—44no—
1336C2×C4—112no—
1337C2×C4—112no—
1338C2×C4—112no—
1339C2×C4—112no—
1340C2×C4—112no—
1341C2×C4—112no—
1342C2×C4—112no—
1343C2×C4—112no—
1344C2×C4—112no—
1345C2×C4—112no—
1346C2×C4—112no—
1347C2×C4—228no—
1348C2×C4—221no—
1349C2×C4—221no—
1350C2×C4—221no—
1351C2×C4—221no—
1352C2×C4—221no—
1353C2×C4—221no—
1354C2×C4—221no—
1355C2×C4—221no—
1356C2×C4—221no—
1357C2×C4—221no—
1358C2×C4—221no—
1359C2×C4—221no—
1360C2×C4—221no—
1361C2×C4—221no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—221no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—444no—
1383C2×C4—444no—
1384C2×C4—882no—
1385C2×C4—882no—
1386C2×C4—882no—
1387C2×C4—882no—
1388C2×C4C22×C4×D1112yes—
1389C2×C4C22×C4×D1112yes—
1390C2×C4C22×C4×D1112yes—
1391C2×C4C22×C4×D1112yes—
1392C2×C4C22×C4×D1112yes—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—22no—
1398C22—22no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—222no—
1408C22—222no—
1409C22—222no—
1410C22—441no—
1411C22—441no—
1412C22—441no—
1413C22—441no—
1414C22C23×C4×D1111yescharacteristic
1415C22D11×H(5,𝔽2)11yescharacteristic
1416C22D11×H(5,𝔽2)11yescharacteristic
1417C22#1062345511yescharacteristic
1418C22#1062345511yescharacteristic
1419C22D11×2−1+411yescharacteristic
1420C22D11×2−1+411yescharacteristic
1421C4—22no—
1422C4—22no—
1423C4—22no—
1424C4—22no—
1425C4—22no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—114no—
1435C4—222no—
1436C4—222no—
1437C4—222no—
1438C4—222no—
1439C4—222no—
1440C4—222no—
1441C4—222no—
1442C4—222no—
1443C4—441no—
1444C4—441no—
1445C4—441no—
1446C4—441no—
1447C4—441no—
1448C4—441no—
1449C2—42no—
1450C2—42no—
1451C2—442no—
1452C2D11×#52011yescharacteristic
1453C2#1308182011yescharacteristic
1454C2#1308182711yescharacteristic
1455C2#1308283511yescharacteristic
1456C2#1308288311yescharacteristic
1457C2#1308307811yescharacteristic
1458C2#1308309511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2376C2
socle, cosocleC23×C11C25
prime radicalC2×#66992C22
hypercenter#2376D11
hypocenterC11#34419
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2376

Complements

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

NH ≅ G/Ntype
2. #13071789C2semidirect
3. #13071786C2semidirect
4. #13071765C2semidirect
5. #13071702C2semidirect
6. #13071690C2semidirect
7. #13071686C2semidirect
8. #13071682C2semidirect
9. #13071682C2semidirect
10. #13071671C2semidirect
11. #13071612C2semidirect
12. #13071607C2semidirect
13. #13071570C2semidirect
14. #13071560C2semidirect
15. #13071535C2semidirect
16. #13071520C2semidirect
17. #13071398C2semidirect
18. #13071397C2semidirect
19. #13071389C2semidirect
20. #13071384C2semidirect
21. #13071350C2semidirect
22. #13071346C2semidirect
24. #13071297C2semidirect
25. #13071295C2semidirect
26. #13071294C2semidirect
27. #13071220C2semidirect
28. #13071148C2semidirect
30. #13071095C2semidirect
31. C11×#2376C2semidirect
40. #10623193C4semidirect
203. C11×#123C2×C4semidirect
237. #66989C2×C4semidirect
239. C4×C22⋊D11C2×C4semidirect
258. #66977C2×C4semidirect
307. #66951C2×C4semidirect
308. #66949C2×C4semidirect
310. #66941C2×C4semidirect
313. #66940C2×C4semidirect
314. #66938C2×C4semidirect
315. #66938C2×C4semidirect
316. #66936C2×C4semidirect
320. #66932C2×C4semidirect
321. #66931C2×C4semidirect
323. #66930C2×C4semidirect
547. #2376D11semidirect
929. #123C4×D11semidirect
1271. C11#34419semidirect

Maximal subgroups

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

subgroupindex
C2×#106231932
#130717892
#130717862
#130717652
#130717022
#130716902
#130716862
#130716822
#130716712
#130716122
#130716072
#130715702
#130715602
#130715352
#130715202
#130713982
#130713972
#130713892
#130713842
#130713502
#130713462
#130713022
#130712972
#130712952
#130712942
#130712202
#130711482
#130711262
#130710952
C11×#23762
#3441911