Finite Group Databasebeta

← #14923555

Subgroups — #14923555

Order 2816.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073460C211yesmaximal, characteristic, complemented
2#13073445C211yesmaximal, characteristic, complemented
3#13073400C211yesmaximal, characteristic, complemented
4#13073385C211yesmaximal, characteristic, complemented
5#13073327C211yesmaximal, characteristic, complemented
6#13073312C211yesmaximal, characteristic, complemented
7#13073243C211yesmaximal, characteristic, complemented
8#13073228C211yesmaximal, characteristic, complemented
9#13073182C211yesmaximal, characteristic, complemented
10#13073115C211yesmaximal, characteristic, complemented
11#13073054C211yesmaximal, characteristic, complemented
12#13072859C211yesmaximal, characteristic, complemented
13#13072739C211yesmaximal, characteristic
14#13072294C211yesmaximal, characteristic, complemented
15#13072001C211yesmaximal, characteristic
16#13071913C211yesmaximal, characteristic, complemented
17#13071885C211yesmaximal, characteristic, complemented
18#13071881C211yesmaximal, characteristic, complemented
19#13071874C211yesmaximal, characteristic, complemented
20#13071170C211yesmaximal, characteristic, complemented
21#13071157C211yesmaximal, characteristic, complemented
22#13071148C211yesmaximal, characteristic, complemented
23#13071133C211yesmaximal, characteristic, complemented
24#13071115C211yesmaximal, characteristic
25#13071110C211yesmaximal, characteristic, complemented
26#13071076C211yesmaximal, characteristic, complemented
27#13071052C211yesmaximal, characteristic, complemented
28#13070994C211yesmaximal, characteristic, complemented
29#117×Dic11C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic11C211yesmaximal, characteristic, complemented
31C11×#2482C211yesmaximal, characteristic, complemented
32C24×Dic11C2211yescharacteristic
33C2×C11×#117C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic
35C2×#67006C2211yescharacteristic
36C22×C22⋊Dic11C2211yescharacteristic
37C2×#66982C2211yescharacteristic
38C2×#66979C2211yescharacteristic
39C22×C4×Dic11C2211yescharacteristic
40C22×C4×Dic11C2211yescharacteristic
41C2×#66945C2211yescharacteristic, complemented
42C2×#66940C2211yescharacteristic, complemented
43C2×#66938C2211yescharacteristic
44C2×(C22⋊D11)⋊C4C2211yescharacteristic
45C2×(C22⋊D11)⋊C4C2211yescharacteristic
46C2×(C22⋊D11)⋊C4C2211yescharacteristic
47C2×#66932C2211yescharacteristic
48C2×#66931C2211yescharacteristic
49C2×#66930C2211yescharacteristic
50C2×#66930C2211yescharacteristic
51C11×#399C2211yescharacteristic
52C11×#399C2211yescharacteristic
53C11×#397C2211yescharacteristic
54C11×#397C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#385C2211yescharacteristic
60C11×#385C2211yescharacteristic
61C11×#381C2211yescharacteristic
62C11×#379C2211yescharacteristic
63C11×#379C2211yescharacteristic
64#10622860C2211yescharacteristic
65#10622826C2211yescharacteristic
66#10622823C2211yescharacteristic
67C2×C11⋊#95C2211yescharacteristic
68C2×C11⋊#95C2211yescharacteristic
69#10622606C2211yescharacteristic, complemented
70#10622606C2211yescharacteristic, complemented
71#10622605C2211yescharacteristic, complemented
72#10622603C2211yescharacteristic, complemented
73#10622603C2211yescharacteristic, complemented
74#10622595C2211yescharacteristic, complemented
75#10622595C2211yescharacteristic, complemented
76#10622595C2211yescharacteristic, complemented
77#10622593C2211yescharacteristic, complemented
78#10622593C2211yescharacteristic, complemented
79#10622591C2211yescharacteristic, complemented
80#10622591C2211yescharacteristic, complemented
81#10622591C2211yescharacteristic, complemented
82#10622591C2211yescharacteristic, complemented
83C4⋊C4×Dic11C2211yescharacteristic, complemented
84C4⋊C4×Dic11C2211yescharacteristic, complemented
85C4⋊C4×Dic11C2211yescharacteristic, complemented
86C4⋊C4×Dic11C2211yescharacteristic, complemented
87C4⋊C4×Dic11C2211yescharacteristic, complemented
88C4⋊C4×Dic11C2211yescharacteristic, complemented
89#10622585C2211yescharacteristic, complemented
90#10622585C2211yescharacteristic, complemented
91#10622574C2211yescharacteristic
92#10622574C2211yescharacteristic
93#10622574C2211yescharacteristic
94#10622572C2211yescharacteristic
95#10622571C2211yescharacteristic
96#10622571C2211yescharacteristic
97#10622571C2211yescharacteristic
98#10622571C2211yescharacteristic
99#10622571C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622566C2211yescharacteristic
104#10622565C2211yescharacteristic
105#10622565C2211yescharacteristic
106#10622565C2211yescharacteristic
107#10622564C2211yescharacteristic
108#10622564C2211yescharacteristic
109#10622563C2211yescharacteristic
110#10622561C2211yescharacteristic
111#10622561C2211yescharacteristic
112#10622561C2211yescharacteristic
113#10622560C2211yescharacteristic
114#10622559C2211yescharacteristic
115#10622559C2211yescharacteristic
116#10622559C2211yescharacteristic
117#10622559C2211yescharacteristic
118#10622558C2211yescharacteristic
119#10622558C2211yescharacteristic
120#10622558C2211yescharacteristic
121#10622557C2211yescharacteristic
122#10622557C2211yescharacteristic
123#10622556C2211yescharacteristic
124#10622556C2211yescharacteristic
125#10622555C2211yescharacteristic
126#10622555C2211yescharacteristic
127#10622555C2211yescharacteristic
128#10622555C2211yescharacteristic
129#10622555C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132C22⋊C4×Dic11C2211yescharacteristic
133C22⋊C4×Dic11C2211yescharacteristic
134C22⋊C4×Dic11C2211yescharacteristic
135C22⋊C4×Dic11C2211yescharacteristic
136C22⋊C4×Dic11C2211yescharacteristic
137C22⋊C4×Dic11C2211yescharacteristic
138C22⋊C4×Dic11C2211yescharacteristic
139C22⋊C4×Dic11C2211yescharacteristic
140C22⋊C4×Dic11C2211yescharacteristic
141C22⋊C4×Dic11C2211yescharacteristic
142C22⋊C4×Dic11C2211yescharacteristic
143C22⋊C4×Dic11C2211yescharacteristic
144C22⋊C4×Dic11C2211yescharacteristic
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147#10622553C2211yescharacteristic, complemented
148#10622553C2211yescharacteristic, complemented
149#10622546C2211yescharacteristic, complemented
150#10622546C2211yescharacteristic, complemented
151#10622545C2211yescharacteristic, complemented
152#10622545C2211yescharacteristic, complemented
153C42×Dic11C2211yescharacteristic, complemented
154C42×Dic11C2211yescharacteristic, complemented
155#10622288C2211yescharacteristic, complemented
156#10622283C2211yescharacteristic, complemented
157#10622282C2211yescharacteristic, complemented
158#10622282C2211yescharacteristic, complemented
159#10622282C2211yescharacteristic, complemented
160#10622279C2211yescharacteristic, complemented
161#10622279C2211yescharacteristic, complemented
162#10622279C2211yescharacteristic, complemented
163C11⋊#401C2211yescharacteristic, complemented
164#10622274C2211yescharacteristic, complemented
165#10622273C2211yescharacteristic, complemented
166#10622271C2211yescharacteristic, complemented
167#10622271C2211yescharacteristic, complemented
168#10622270C2211yescharacteristic, complemented
169#10622269C2211yescharacteristic, complemented
170#10622268C2211yescharacteristic, complemented
171#10622268C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622266C2211yescharacteristic, complemented
174#10622265C2211yescharacteristic, complemented
175#10622265C2211yescharacteristic, complemented
176#10622265C2211yescharacteristic, complemented
177#10622264C2211yescharacteristic, complemented
178#10622263C2211yescharacteristic, complemented
179#10622262C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×C4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C23×Dic11—24no—
194C23×Dic11—24no—
195C23×Dic11—42no—
196C23×Dic11C2311yescharacteristic
197C23×Dic11C2311yescharacteristic
198C23×Dic11C2311yescharacteristic
199C23×Dic11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C11×#117—24no—
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⋊C4—24no—
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×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232#67006—24no—
233C2×C22⋊Dic11—24no—
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247#66982—24no—
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259#66979—24no—
260C2×C4⋊Dic11C2311yescharacteristic
261C2×C4⋊Dic11C2311yescharacteristic
262C2×C4⋊Dic11C2311yescharacteristic
263C2×C4⋊Dic11C2311yescharacteristic
264C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11—24no—
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
305#66945—42no—
306#66940—42no—
307#66938—24no—
308(C22⋊D11)⋊C4—24no—
309(C22⋊D11)⋊C4—24no—
310(C22⋊D11)⋊C4—42no—
311#66932—24no—
312#66931—24no—
313#66930—24no—
314#66930—42no—
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
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
363#34806—111nomaximal, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—22no—
367C24×C11—22no—
368C24×C11—22no—
369C24×C11—41no—
370C24×C11—41no—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C22×C4×C11—22no—
376C22×C4×C11—22no—
377C22×C4×C11—22no—
378C22×C4×C11—41no—
379C22×C4×C11—41no—
380C22×C4×C11#4114yes—
381C22×C4×C11C2411yescharacteristic
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
393C2×C22⋊D11—22no—
394C2×C22⋊D11—22no—
395C2×C22⋊D11—22no—
396C2×C22⋊D11—22no—
397C2×C22⋊D11—22no—
398C2×C22⋊D11—22no—
399C2×C22⋊D11—22no—
400C2×C22⋊D11—41no—
401C2×C22⋊D11—41no—
402C22×Dic11—22no—
403C22×Dic11—22no—
404C22×Dic11—22no—
405C22×Dic11—22no—
406C22×Dic11—22no—
407C22×Dic11—22no—
408C22×Dic11—22no—
409C22×Dic11—22no—
410C22×Dic11—22no—
411C22×Dic11—22no—
412C22×Dic11—22no—
413C22×Dic11—22no—
414C22×Dic11—22no—
415C22×Dic11—22no—
416C22×Dic11—22no—
417C22×Dic11—22no—
418C22×Dic11—22no—
419C22×Dic11—41no—
420C22×Dic11—41no—
421C22×Dic11—41no—
422C22×Dic11—41no—
423C22×Dic11—41no—
424C22×Dic11—416no—
425C22×Dic11#4114yes—
426C22×Dic11#4114yes—
427C22×Dic11C2411yescharacteristic
428C22×Dic11C2411yescharacteristic
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C2×C4×D11—22no—
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×Dic22—22no—
446C2×Dic22—22no—
447C2×Dic22—41no—
448C11×C4⋊C4—22no—
449C11×C4⋊C4—22no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4—41no—
452C11×C4⋊C4—41no—
453C11×C4⋊C4—41no—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—22no—
456C11×C22⋊C4—22no—
457C11×C22⋊C4—22no—
458C11×C22⋊C4—22no—
459C11×C22⋊C4—22no—
460C11×C22⋊C4—22no—
461C11×C22⋊C4—22no—
462C11×C22⋊C4—22no—
463C11×C22⋊C4—22no—
464C11×C22⋊C4—22no—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—41no—
467C11×C22⋊C4—41no—
468C11×C22⋊C4—41no—
469C11×C22⋊C4—41no—
470C42×C11—22no—
471C42×C11—22no—
472C22⋊Dic11—22no—
473C22⋊Dic11—22no—
474C22⋊Dic11—22no—
475C22⋊Dic11—22no—
476C22⋊Dic11—22no—
477C22⋊Dic11—22no—
478C22⋊Dic11—22no—
479C22⋊Dic11—22no—
480C22⋊Dic11—22no—
481C22⋊Dic11—41no—
482C22⋊Dic11—41no—
483C22⋊Dic11#4114yes—
484C22⋊Dic11#4114yes—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496C4⋊Dic11—22no—
497C4⋊Dic11—22no—
498C4⋊Dic11—22no—
499C4⋊Dic11—22no—
500C4⋊Dic11—41no—
501Dic11⋊C4—22no—
502Dic11⋊C4—22no—
503Dic11⋊C4—22no—
504Dic11⋊C4—22no—
505Dic11⋊C4—22no—
506Dic11⋊C4—22no—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—41no—
512Dic11⋊C4—41no—
513Dic11⋊C4—41no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
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—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11—22no—
532C4×Dic11—22no—
533C4×Dic11—22no—
534C4×Dic11—22no—
535C4×Dic11—41no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539#2531—111no—
540#2530—111no—
541#2527—111no—
542#2526—111no—
543#2522—111no—
544#2521—111no—
545#2516—111no—
546#2515—111no—
547#2510—111no—
548#2505—111no—
549#2498—111no—
550#2482D1111yescharacteristic, complemented
551#2480—111no—
552#2472—111no—
553#2438—111no—
554#2411—111no—
555#2401—111no—
556#2396—111no—
557#2395—111no—
558#2395—111no—
559C4×#126—111no—
560C4×#124—111no—
561C4×C22⋊Q8—111no—
562C4×#123—111no—
563C4×#120—111no—
564#2298—111no—
565#2293—111no—
566#2290—111no—
567#2280—111no—
568C4×#117—111no—
569C2×C4×C22⋊C4—111no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—28no—
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×C11—21no—
587C23×C11—44no—
588C23×C11—44no—
589C23×C11—44no—
590C23×C11—44no—
591C23×C11—44no—
592C23×C11—44no—
593C23×C11C2×#4112yes—
594C23×C11C2×#4112yes—
595C23×C11C2×#4112yes—
596C23×C11C2×#4112yes—
597C23×C11C2×#4112yes—
598C23×C11C2511yescharacteristic
599C22×D11—21no—
600C22×D11—21no—
601C22×D11—21no—
602C22×D11—21no—
603C22×D11—21no—
604C22×D11—21no—
605C22×D11—21no—
606C2×C4×C11—28no—
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—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—44no—
642C2×C4×C11C2×#4112yes—
643C2×C4×C11C2×#4112yes—
644C22⋊D11—44no—
645C22⋊D11—44no—
646C22⋊D11—44no—
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—28no—
660C2×Dic11—28no—
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—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—44no—
686C2×Dic11—44no—
687C2×Dic11—44no—
688C2×Dic11—44no—
689C2×Dic11—44no—
690C2×Dic11—44no—
691C2×Dic11C2×#4112yes—
692C2×Dic11C2×#4112yes—
693C2×Dic11C2×#4112yes—
694C2×Dic11C2×#4112yes—
695C2×Dic11C2×#4112yes—
696C2×Dic11C2×#4112yes—
697C2×Dic11C2×#4112yes—
698C2×Dic11C2×#4112yes—
699C2×Dic11H(5,𝔽2)12yes—
700C4×D11—44no—
701Dic22—44no—
702C24×C4—111no—
703C2×#126—111no—
704C2×#124—111no—
705C2×#123—111no—
706C2×C22⋊Q8—111no—
707C2×#120—111no—
708C2×C4×Q8—111no—
709C2×C4×D4—111no—
710C2×C4×D4—111no—
711C2×C4×D4—111no—
712C2×#117—111no—
713C2×#117—111no—
714C2×#117—111no—
715C2×#117—111no—
716C2×#117C2×D1111yescharacteristic
717C22×C22⋊C4—111no—
718C22×C22⋊C4C2×D1111yescharacteristic
719C22×C42—111no—
720C22×C42—111no—
721#401—111no—
722#400—111no—
723#400—111no—
724#400—111no—
725#400—111no—
726#400—111no—
727#400—111no—
728#399—111no—
729#399C2×D1111yescharacteristic
730#399C2×D1111yescharacteristic
731#398—111no—
732#398—111no—
733#398—111no—
734#398—111no—
735#397—111no—
736#397—111no—
737#397—111no—
738#397—111no—
739#397—111no—
740#397—111no—
741#397—111no—
742#397C2×D1111yescharacteristic
743#397C2×D1111yescharacteristic
744#396—111no—
745#396—111no—
746#396—111no—
747#395—111no—
748#394—111no—
749#394—111no—
750#394—111no—
751#394—111no—
752#393—111no—
753#391—111no—
754#391—111no—
755#390—111no—
756#390—111no—
757#390—111no—
758#389—111no—
759#389—111no—
760#389—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#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388C2×D1111yescharacteristic
777#388C2×D1111yescharacteristic
778#388C2×D1111yescharacteristic
779#388C2×D1111yescharacteristic
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#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#386—111no—
794#386—111no—
795#386—111no—
796#386—111no—
797#386—111no—
798#386—111no—
799#385—111no—
800#385—111no—
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385C2×D1111yescharacteristic
806#385C2×D1111yescharacteristic
807#383—111no—
808#382—111no—
809#381—111no—
810#381—111no—
811#381C2×D1111yescharacteristic
812#380—111no—
813#380—111no—
814#380—111no—
815#380—111no—
816#380—111no—
817#379—111no—
818#379C2×D1111yescharacteristic
819#379C2×D1111yescharacteristic
820C4×C4⋊C4—111no—
821C4×C4⋊C4—111no—
822C4×C4⋊C4—111no—
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×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832C4×C22⋊C4—111no—
833C4×C22⋊C4—111no—
834C4×C22⋊C4—111no—
835C4×C22⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4—111no—
838C4×C22⋊C4—111no—
839C4×C22⋊C4—111no—
840C4×C22⋊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—
849C4×C22⋊C4—111no—
850#376—111no—
851#376—111no—
852#376—111no—
853C2×#95—111no—
854C2×#95—111no—
855C43—111no—
856C43—111no—
857C22×C11—22no—
858C22×C11—22no—
859C22×C11—22no—
860C22×C11—22no—
861C22×C11—22no—
862C22×C11—22no—
863C22×C11—22no—
864C22×C11—22no—
865C22×C11—22no—
866C22×C11—22no—
867C22×C11—22no—
868C22×C11—22no—
869C22×C11—416no—
870C22×C11—41no—
871C22×C11—41no—
872C22×C11—41no—
873C22×C11—41no—
874C22×C11—41no—
875C22×C11—41no—
876C22×C11—41no—
877C22×C11—41no—
878C22×C11#52914yes—
879C22×C11C22×#4111yescharacteristic
880C22×C11C22×#4111yescharacteristic
881C22×C11C22×#4111yescharacteristic
882C22×C11C22×#4111yescharacteristic
883C22×C11C22×#4111yescharacteristic
884C22×C11C2×H(5,𝔽2)11yescharacteristic
885C22×C11#58511yescharacteristic
886C2×D11—41no—
887C2×D11—41no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—41no—
893C4×C11—22no—
894C4×C11—22no—
895C4×C11—41no—
896C4×C11—41no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905Dic11—22no—
906Dic11—22no—
907Dic11—22no—
908Dic11—22no—
909Dic11—22no—
910Dic11—22no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11#55114yes—
920C25C22×D1111yescharacteristic
921C22×Q8—111no—
922C22×D4—111no—
923C22×D4—111no—
924C22×D4—111no—
925C23×C4—111no—
926C23×C4—111no—
927C23×C4—111no—
928C23×C4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—224no—
935C23×C4—224no—
936C23×C4—442no—
937C23×C4C22×D1111yescharacteristic
938C23×C4C22×D1111yescharacteristic
939#126—224no—
940#124—224no—
941#123—224no—
942C22⋊Q8—224no—
943#120—224no—
944C4×Q8—442no—
945C4×D4—224no—
946C4×D4—224no—
947C4×D4—442no—
948#117—24no—
949#117—224no—
950#117—224no—
951#117—442no—
952#117—442no—
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⋊C4C22×D1111yescharacteristic
976C2×C4⋊C4C22×D1111yescharacteristic
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C22⋊C4—24no—
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
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—224no—
1007C2×C22⋊C4C22×D1111yescharacteristic
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×C22⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4C22×D1111yescharacteristic
1020C2×C22⋊C4C22×D1111yescharacteristic
1021C2×C22⋊C4C22×D1111yescharacteristic
1022C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
1042C2×C42—111no—
1043C2×C42—111no—
1044C2×C42—224no—
1045C2×C42—442no—
1046C2×C42C22×D1111yescharacteristic
1047C2×C42C22×D1111yescharacteristic
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#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95—111no—
1086#95—111no—
1087#95—111no—
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095#95C22×D1111yescharacteristic
1096C2×C11—24no—
1097C2×C11—42no—
1098C2×C11—42no—
1099C2×C11C2×#52911yescharacteristic
1100C2×C11#344411yescharacteristic
1101C2×C11#346011yescharacteristic
1102C2×C11C2×#55111yescharacteristic
1103C2×C11#347511yescharacteristic
1104C2×C11#347511yescharacteristic
1105C2×C11#348111yescharacteristic
1106D11—81no—
1107C24—22no—
1108C24—22no—
1109C24—22no—
1110C24—22no—
1111C24—22no—
1112C24—41no—
1113C24—41no—
1114C24—111no—
1115C24C23×D1111yescharacteristic
1116C24C23×D1111yescharacteristic
1117C24C23×D1111yescharacteristic
1118C2×Q8—222no—
1119C2×Q8—222no—
1120C2×Q8—441no—
1121C2×D4—222no—
1122C2×D4—222no—
1123C2×D4—222no—
1124C2×D4—222no—
1125C2×D4—222no—
1126C2×D4—222no—
1127C2×D4—222no—
1128C2×D4—441no—
1129C2×D4—441no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—111no—
1136C22×C4—114no—
1137C22×C4—114no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—111no—
1141C22×C4—111no—
1142C22×C4—111no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—222no—
1153C22×C4—222no—
1154C22×C4—222no—
1155C22×C4—222no—
1156C22×C4—222no—
1157C22×C4—222no—
1158C22×C4—222no—
1159C22×C4—222no—
1160C22×C4—222no—
1161C22×C4—222no—
1162C22×C4—222no—
1163C22×C4—222no—
1164C22×C4—222no—
1165C22×C4—222no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—222no—
1170C22×C4—222no—
1171C22×C4—222no—
1172C22×C4—441no—
1173C22×C4—441no—
1174C22×C4—441no—
1175C22×C4—441no—
1176C22×C4—441no—
1177C22×C4—4416no—
1178C22×C4#434114yes—
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C22×C4C23×D1111yescharacteristic
1183C22×C4C23×D1111yescharacteristic
1184C22×C4C23×D1111yescharacteristic
1185C22×C4C23×D1111yescharacteristic
1186C22×C4C23×D1111yescharacteristic
1187C22×C4C23×D1111yescharacteristic
1188C22×C4C23×D1111yescharacteristic
1189C22×C4C23×D1111yescharacteristic
1190C22×C4C23×D1111yescharacteristic
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—222no—
1198C4⋊C4—222no—
1199C4⋊C4—222no—
1200C4⋊C4—222no—
1201C4⋊C4—222no—
1202C4⋊C4—222no—
1203C4⋊C4—222no—
1204C4⋊C4—222no—
1205C4⋊C4—222no—
1206C4⋊C4—222no—
1207C4⋊C4—222no—
1208C4⋊C4—222no—
1209C4⋊C4—222no—
1210C4⋊C4—222no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4—441no—
1214C4⋊C4—441no—
1215C4⋊C4—441no—
1216C4⋊C4—441no—
1217C4⋊C4—441no—
1218C4⋊C4—441no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—114no—
1236C22⋊C4—114no—
1237C22⋊C4—222no—
1238C22⋊C4—222no—
1239C22⋊C4—222no—
1240C22⋊C4—222no—
1241C22⋊C4—222no—
1242C22⋊C4—222no—
1243C22⋊C4—222no—
1244C22⋊C4—222no—
1245C22⋊C4—222no—
1246C22⋊C4—222no—
1247C22⋊C4—222no—
1248C22⋊C4—222no—
1249C22⋊C4—222no—
1250C22⋊C4—222no—
1251C22⋊C4—222no—
1252C22⋊C4—441no—
1253C22⋊C4—441no—
1254C22⋊C4—441no—
1255C22⋊C4—441no—
1256C22⋊C4—441no—
1257C22⋊C4—441no—
1258C22⋊C4—441no—
1259C42—22no—
1260C42—22no—
1261C42—222no—
1262C42—222no—
1263C42—222no—
1264C42—222no—
1265C42—222no—
1266C42—222no—
1267C42—222no—
1268C42—222no—
1269C42—222no—
1270C42—222no—
1271C42—222no—
1272C42—222no—
1273C42—222no—
1274C42—222no—
1275C42—222no—
1276C42—222no—
1277C42—222no—
1278C42—441no—
1279C42—441no—
1280C42—441no—
1281C42—441no—
1282C11#3480611yescharacteristic, complemented, Sylow
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—28no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—44no—
1301C23—44no—
1302C23—44no—
1303C23—44no—
1304C23—44no—
1305C23—44no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—221no—
1312C23—221no—
1313C23C2×#434112yes—
1314C23#41×D1112yes—
1315C23#41×D1112yes—
1316C23#41×D1112yes—
1317C23#41×D1112yes—
1318C23C24×D1111yescharacteristic
1319Q8—444no—
1320D4—444no—
1321D4—444no—
1322D4—444no—
1323C2×C4—28no—
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—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—44no—
1359C2×C4—112no—
1360C2×C4—112no—
1361C2×C4—112no—
1362C2×C4—112no—
1363C2×C4—112no—
1364C2×C4—112no—
1365C2×C4—112no—
1366C2×C4—112no—
1367C2×C4—112no—
1368C2×C4—228no—
1369C2×C4—228no—
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—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—444no—
1407C2×C4—444no—
1408C2×C4—444no—
1409C2×C4—444no—
1410C2×C4—444no—
1411C2×C4—444no—
1412C2×C4—444no—
1413C2×C4C2×#434112yes—
1414C2×C4C2×#434112yes—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—416no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—441no—
1437C22—441no—
1438C22—441no—
1439C22—441no—
1440C22—441no—
1441C22—441no—
1442C22—441no—
1443C22#1062318014yes—
1444C22C22×#434111yescharacteristic
1445C22C2×#41×D1111yescharacteristic
1446C22C2×#41×D1111yescharacteristic
1447C22C2×#41×D1111yescharacteristic
1448C22C2×#41×D1111yescharacteristic
1449C22D11×H(5,𝔽2)11yescharacteristic
1450C22#1062345511yescharacteristic
1451C4—22no—
1452C4—22no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—114no—
1464C4—222no—
1465C4—222no—
1466C4—222no—
1467C4—222no—
1468C4—222no—
1469C4—222no—
1470C4—441no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C2—24no—
1479C2—42no—
1480C2—42no—
1481C2—881no—
1482C2C2×#1062318011yescharacteristic
1483C2#1308190811yescharacteristic
1484C2#1308202911yescharacteristic
1485C2D11×#55111yescharacteristic
1486C2#1308217111yescharacteristic
1487C2#1308217111yescharacteristic
1488C2#1308221911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2482C2
prime radicalC2×#67006C22
hypercenter#2482D11
hypocenterC11#34806
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2482

Complements

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

NH ≅ G/Ntype
1. #13073460C2semidirect
2. #13073445C2semidirect
3. #13073400C2semidirect
4. #13073385C2semidirect
5. #13073327C2semidirect
6. #13073312C2semidirect
7. #13073243C2semidirect
8. #13073228C2semidirect
9. #13073182C2semidirect
10. #13073115C2semidirect
11. #13073054C2semidirect
12. #13072859C2semidirect
14. #13072294C2semidirect
16. #13071913C2semidirect
17. #13071885C2semidirect
18. #13071881C2semidirect
19. #13071874C2semidirect
20. #13071170C2semidirect
21. #13071157C2semidirect
22. #13071148C2semidirect
23. #13071133C2semidirect
25. #13071110C2semidirect
26. #13071076C2semidirect
27. #13071052C2semidirect
28. #13070994C2semidirect
29. #117×Dic11C2semidirect
30. C2×C22⋊C4×Dic11C2semidirect
31. C11×#2482C2semidirect
41. C2×#66945C22semidirect
42. C2×#66940C22semidirect
69. #10622606C22semidirect
70. #10622606C22semidirect
71. #10622605C22semidirect
72. #10622603C22semidirect
73. #10622603C22semidirect
74. #10622595C22semidirect
75. #10622595C22semidirect
76. #10622595C22semidirect
77. #10622593C22semidirect
78. #10622593C22semidirect
79. #10622591C22semidirect
80. #10622591C22semidirect
81. #10622591C22semidirect
82. #10622591C22semidirect
83. C4⋊C4×Dic11C22semidirect
84. C4⋊C4×Dic11C22semidirect
85. C4⋊C4×Dic11C22semidirect
86. C4⋊C4×Dic11C22semidirect
87. C4⋊C4×Dic11C22semidirect
88. C4⋊C4×Dic11C22semidirect
89. #10622585C22semidirect
90. #10622585C22semidirect
147. #10622553C22semidirect
148. #10622553C22semidirect
149. #10622546C22semidirect
150. #10622546C22semidirect
151. #10622545C22semidirect
152. #10622545C22semidirect
153. C42×Dic11C22semidirect
154. C42×Dic11C22semidirect
155. #10622288C22semidirect
156. #10622283C22semidirect
157. #10622282C22semidirect
158. #10622282C22semidirect
159. #10622282C22semidirect
160. #10622279C22semidirect
161. #10622279C22semidirect
162. #10622279C22semidirect
163. C11⋊#401C22semidirect
164. #10622274C22semidirect
165. #10622273C22semidirect
166. #10622271C22semidirect
167. #10622271C22semidirect
168. #10622270C22semidirect
169. #10622269C22semidirect
170. #10622268C22semidirect
171. #10622268C22semidirect
172. #10622267C22semidirect
173. #10622266C22semidirect
174. #10622265C22semidirect
175. #10622265C22semidirect
176. #10622265C22semidirect
177. #10622264C22semidirect
178. #10622263C22semidirect
179. #10622262C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622261C22semidirect
184. #10622260C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
550. #2482D11semidirect
1282. C11#34806semidirect

Maximal subgroups

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

subgroupindex
#130734602
#130734452
#130734002
#130733852
#130733272
#130733122
#130732432
#130732282
#130731822
#130731152
#130730542
#130728592
#130727392
#130722942
#130720012
#130719132
#130718852
#130718812
#130718742
#130711702
#130711572
#130711482
#130711332
#130711152
#130711102
#130710762
#130710522
#130709942
#117×Dic112
C2×C22⋊C4×Dic112
C11×#24822
#3480611