Finite Group Databasebeta

← #14962627

Subgroups — #14962627

Order 2816.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076903C211yesmaximal, characteristic, complemented
2#13076462C211yesmaximal, characteristic, complemented
3#13075999C211yesmaximal, characteristic, complemented
4#13075954C211yesmaximal, characteristic, complemented
5#13075865C211yesmaximal, characteristic, complemented
6#13075671C211yesmaximal, characteristic, complemented
7#13075616C211yesmaximal, characteristic, complemented
8#13075536C211yesmaximal, characteristic, complemented
9#13075425C211yesmaximal, characteristic, complemented
10#13075383C211yesmaximal, characteristic, complemented
11#13075354C211yesmaximal, characteristic, complemented
12#13075285C211yesmaximal, characteristic, complemented
13#13075223C211yesmaximal, characteristic, complemented
14#13075214C211yesmaximal, characteristic, complemented
15#13075094C211yesmaximal, characteristic, complemented
16#13075020C211yesmaximal, characteristic, complemented
17#13074867C211yesmaximal, characteristic, complemented
18#13074427C211yesmaximal, characteristic, complemented
19#13074393C211yesmaximal, characteristic, complemented
20#13073800C211yesmaximal, characteristic, complemented
21#13073629C211yesmaximal, characteristic, complemented
22#13072869C211yesmaximal, characteristic, complemented
23#13072859C211yesmaximal, characteristic, complemented
24#13072747C211yesmaximal, characteristic, complemented
25#13072741C211yesmaximal, characteristic, complemented
26#13072265C211yesmaximal, characteristic, complemented
27#13071969C211yesmaximal, characteristic
28#13071347C211yesmaximal, characteristic, complemented
29#13071242C211yesmaximal, characteristic, complemented
30C2×#10622826C211yesmaximal, characteristic, complemented
31C11×#2849C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C23×C22⋊D11C2211yescharacteristic
34C2×C11×#123C2211yescharacteristic, complemented
35C2×C11×#123C2211yescharacteristic, complemented
36C2×C11×#120C2211yescharacteristic
37C22×C22⋊Dic11C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66990C2211yescharacteristic
41C2×#66989C2211yescharacteristic, complemented
42C2×D4×Dic11C2211yescharacteristic
43C22×(C2×D11)⋊C4C2211yescharacteristic
44C22×(C2×D11)⋊C4C2211yescharacteristic
45C2×#66977C2211yescharacteristic
46C2×#66977C2211yescharacteristic, complemented
47C2×#66977C2211yescharacteristic, complemented
48C2×#66951C2211yescharacteristic, complemented
49C2×#66938C2211yescharacteristic
50C2×#66938C2211yescharacteristic
51C2×#66938C2211yescharacteristic, complemented
52C2×#66932C2211yescharacteristic, complemented
53C2×#66931C2211yescharacteristic
54C2×#66931C2211yescharacteristic
55C11×#386C2211yescharacteristic
56C11×#386C2211yescharacteristic
57C11×#386C2211yescharacteristic, complemented
58C11×#386C2211yescharacteristic, complemented
59C11×#385C2211yescharacteristic
60C11×#385C2211yescharacteristic
61C11×#385C2211yescharacteristic, complemented
62C11×#385C2211yescharacteristic, complemented
63C11×#381C2211yescharacteristic, complemented
64C11×#381C2211yescharacteristic, complemented
65C11×#379C2211yescharacteristic
66#10622860C2211yescharacteristic
67#10622860C2211yescharacteristic
68#10622836C2211yescharacteristic
69#10622836C2211yescharacteristic
70#10622835C2211yescharacteristic, complemented
71#10622835C2211yescharacteristic, complemented
72#10622834C2211yescharacteristic, complemented
73#10622833C2211yescharacteristic
74#10622833C2211yescharacteristic
75#10622826C2211yescharacteristic
76#10622826C2211yescharacteristic
77#10622826C2211yescharacteristic
78#10622826C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622826C2211yescharacteristic
81#10622826C2211yescharacteristic
82#10622826C2211yescharacteristic
83#10622825C2211yescharacteristic
84#10622825C2211yescharacteristic, complemented
85#10622825C2211yescharacteristic, complemented
86#10622823C2211yescharacteristic
87#10622823C2211yescharacteristic
88#10622823C2211yescharacteristic, complemented
89#10622823C2211yescharacteristic, complemented
90#10622823C2211yescharacteristic, complemented
91#10622823C2211yescharacteristic, complemented
92C2×C11⋊#95C2211yescharacteristic
93C2×C11⋊#95C2211yescharacteristic
94#10622607C2211yescharacteristic, complemented
95#10622607C2211yescharacteristic, complemented
96#10622607C2211yescharacteristic, complemented
97#10622606C2211yescharacteristic, complemented
98#10622605C2211yescharacteristic, complemented
99#10622605C2211yescharacteristic, complemented
100#10622603C2211yescharacteristic, complemented
101#10622598C2211yescharacteristic, complemented
102#10622597C2211yescharacteristic, complemented
103#10622592C2211yescharacteristic, complemented
104#10622591C2211yescharacteristic, complemented
105#10622587C2211yescharacteristic, complemented
106#10622586C2211yescharacteristic, complemented
107#10622586C2211yescharacteristic, complemented
108#10622585C2211yescharacteristic, complemented
109#10622574C2211yescharacteristic
110#10622574C2211yescharacteristic
111#10622574C2211yescharacteristic
112#10622574C2211yescharacteristic
113#10622574C2211yescharacteristic, complemented
114#10622574C2211yescharacteristic, complemented
115#10622574C2211yescharacteristic, complemented
116#10622572C2211yescharacteristic
117#10622572C2211yescharacteristic
118#10622572C2211yescharacteristic, complemented
119#10622572C2211yescharacteristic, complemented
120#10622572C2211yescharacteristic, complemented
121#10622570C2211yescharacteristic
122#10622570C2211yescharacteristic
123#10622570C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622570C2211yescharacteristic, complemented
126#10622568C2211yescharacteristic
127#10622568C2211yescharacteristic
128#10622568C2211yescharacteristic
129#10622566C2211yescharacteristic, complemented
130#10622566C2211yescharacteristic, complemented
131#10622565C2211yescharacteristic, complemented
132#10622565C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622563C2211yescharacteristic
135#10622563C2211yescharacteristic, complemented
136#10622562C2211yescharacteristic, complemented
137#10622561C2211yescharacteristic, complemented
138#10622560C2211yescharacteristic, complemented
139#10622560C2211yescharacteristic, complemented
140#10622559C2211yescharacteristic
141#10622559C2211yescharacteristic, complemented
142#10622558C2211yescharacteristic, complemented
143#10622558C2211yescharacteristic, complemented
144#10622558C2211yescharacteristic, complemented
145#10622558C2211yescharacteristic, complemented
146#10622557C2211yescharacteristic, complemented
147#10622557C2211yescharacteristic, complemented
148#10622556C2211yescharacteristic, complemented
149#10622555C2211yescharacteristic
150#10622555C2211yescharacteristic
151#10622555C2211yescharacteristic, complemented
152C22⋊C4×Dic11C2211yescharacteristic
153C22⋊C4×Dic11C2211yescharacteristic
154C22⋊C4×Dic11C2211yescharacteristic
155#10622289C2211yescharacteristic, complemented
156#10622289C2211yescharacteristic, complemented
157#10622288C2211yescharacteristic, complemented
158#10622288C2211yescharacteristic, complemented
159#10622288C2211yescharacteristic, complemented
160#10622288C2211yescharacteristic, complemented
161#10622287C2211yescharacteristic, complemented
162#10622287C2211yescharacteristic, complemented
163#10622287C2211yescharacteristic, complemented
164#10622286C2211yescharacteristic, complemented
165#10622286C2211yescharacteristic, complemented
166#10622286C2211yescharacteristic, complemented
167#10622283C2211yescharacteristic, complemented
168#10622283C2211yescharacteristic, complemented
169#10622282C2211yescharacteristic, complemented
170#10622282C2211yescharacteristic, complemented
171#10622273C2211yescharacteristic, complemented
172#10622270C2211yescharacteristic, complemented
173#10622269C2211yescharacteristic, complemented
174#10622269C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622267C2211yescharacteristic, complemented
178#10622266C2211yescharacteristic, complemented
179#10622266C2211yescharacteristic, complemented
180#10622265C2211yescharacteristic, complemented
181#10622265C2211yescharacteristic, complemented
182#10622264C2211yescharacteristic, complemented
183#10622263C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11—42no—
193C23×C4×C11—42no—
194C23×C4×C11—42no—
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C22×C22⋊D11—24no—
202C22×C22⋊D11—42no—
203C22×C22⋊D11—42no—
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C23×Dic11C2311yescharacteristic
212C23×Dic11C2311yescharacteristic
213C23×Dic11C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C22×Dic22C2311yescharacteristic
216C22×Dic22C2311yescharacteristic
217C11×#123—42no—
218C11×#123—42no—
219C11×#120—42no—
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C4⋊C4C2311yescharacteristic
222C2×C11×C4⋊C4C2311yescharacteristic
223C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C22⋊Dic11—42no—
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
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259#66992—42no—
260#66992—42no—
261#66990—42no—
262#66989—42no—
263D4×Dic11—24no—
264C2×(C2×D11)⋊C4—42no—
265C2×(C2×D11)⋊C4—42no—
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
282C2×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296#66977—42no—
297#66977—42no—
298#66977—42no—
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322#66951—42no—
323#66938—42no—
324#66938—42no—
325#66938—42no—
326#66932—42no—
327#66931—24no—
328#66931—42no—
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
369#36793—111nomaximal, Sylow
370C24×C11—22no—
371C24×C11—22no—
372C24×C11—22no—
373C24×C11—22no—
374C24×C11—22no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C24×C11C2411yescharacteristic
381C23×D11—22no—
382C23×D11—22no—
383C23×D11—22no—
384C23×D11—41no—
385C23×D11—41no—
386C23×D11—41no—
387C23×D11—41no—
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C2×D4×C11—22no—
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—22no—
394C2×D4×C11—22no—
395C2×D4×C11—41no—
396C2×D4×C11—41no—
397C2×D4×C11—41no—
398C2×D4×C11—41no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11—41no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—416no—
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—41no—
438C2×C22⋊D11—41no—
439C2×C22⋊D11—41no—
440C2×C22⋊D11—41no—
441C2×C22⋊D11—41no—
442C2×C22⋊D11—41no—
443C2×C22⋊D11—41no—
444C2×C22⋊D11—41no—
445C2×C22⋊D11—41no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—416no—
448C22×Dic11—22no—
449C22×Dic11—22no—
450C22×Dic11—22no—
451C22×Dic11—41no—
452C22×Dic11—41no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
458C22×Dic11—41no—
459C22×Dic11#4114yes—
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C2×Dic22—22no—
475C2×Dic22—22no—
476C2×Dic22—41no—
477C2×Dic22—41no—
478C2×Dic22—41no—
479C2×Dic22—41no—
480C2×Dic22—41no—
481C2×Dic22—41no—
482C2×Dic22—41no—
483C11×C4⋊C4—22no—
484C11×C4⋊C4—41no—
485C11×C4⋊C4—41no—
486C11×C4⋊C4—41no—
487C11×C22⋊C4—22no—
488C11×C22⋊C4—22no—
489C11×C22⋊C4—22no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—22no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4—41no—
496C11×C22⋊C4—41no—
497C11×C22⋊C4—41no—
498C11×C22⋊C4—41no—
499C11×C22⋊C4—41no—
500C22⋊Dic11—22no—
501C22⋊Dic11—22no—
502C22⋊Dic11—22no—
503C22⋊Dic11—22no—
504C22⋊Dic11—22no—
505C22⋊Dic11—22no—
506C22⋊Dic11—22no—
507C22⋊Dic11—22no—
508C22⋊Dic11—22no—
509C22⋊Dic11—22no—
510C22⋊Dic11—22no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513C22⋊Dic11—41no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520C22⋊Dic11—41no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526(C2×D11)⋊C4—41no—
527(C2×D11)⋊C4—41no—
528(C2×D11)⋊C4—41no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534(C2×D11)⋊C4—41no—
535(C2×D11)⋊C4—41no—
536(C2×D11)⋊C4—41no—
537(C2×D11)⋊C4—41no—
538(C2×D11)⋊C4—41no—
539(C2×D11)⋊C4—41no—
540(C2×D11)⋊C4—41no—
541(C2×D11)⋊C4—41no—
542(C2×D11)⋊C4—41no—
543C4⋊Dic11—22no—
544C4⋊Dic11—22no—
545C4⋊Dic11—22no—
546C4⋊Dic11—41no—
547C4⋊Dic11—41no—
548C4⋊Dic11—41no—
549C4⋊Dic11—41no—
550C4⋊Dic11—41no—
551Dic11⋊C4—22no—
552Dic11⋊C4—22no—
553Dic11⋊C4—41no—
554Dic11⋊C4—41no—
555Dic11⋊C4—41no—
556Dic11⋊C4—41no—
557Dic11⋊C4—41no—
558Dic11⋊C4—41no—
559Dic11⋊C4—41no—
560Dic11⋊C4—41no—
561Dic11⋊C4—41no—
562Dic11⋊C4—41no—
563Dic11⋊C4—41no—
564Dic11⋊C4—41no—
565Dic11⋊C4—41no—
566Dic11⋊C4—41no—
567C4×Dic11—22no—
568C4×Dic11—41no—
569C4×Dic11—41no—
570C4×Dic11—41no—
571C4×Dic11—41no—
572C4×Dic11—41no—
573C4×Dic11—41no—
574#2849D1111yescharacteristic, complemented
575#2848—111no—
576#2796—111no—
577#2761—111no—
578#2757—111no—
579#2751—111no—
580#2737—111no—
581#2730—111no—
582#2723—111no—
583#2715—111no—
584#2712—111no—
585#2710—111no—
586#2705—111no—
587#2701—111no—
588#2700—111no—
589#2691—111no—
590#2686—111no—
591#2672—111no—
592#2626—111no—
593#2622—111no—
594#2564—111no—
595#2549—111no—
596#2480—111no—
597#2480—111no—
598#2472—111no—
599#2472—111no—
600#2435—111no—
601#2408—111no—
602#2329—111no—
603#2318—111no—
604C2×#386—111no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—28no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—21no—
618C23×C11—21no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—44no—
630C23×C11—44no—
631C23×C11—44no—
632C23×C11—44no—
633C23×C11—44no—
634C23×C11—44no—
635C23×C11C2×#4112yes—
636C23×C11H(5,𝔽2)12yes—
637C23×C11H(5,𝔽2)12yes—
638C23×C11H(5,𝔽2)12yes—
639C23×C112−1+412yes—
640C23×C11C2511yescharacteristic
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11—21no—
653C22×D11—21no—
654C22×D11—21no—
655C22×D11—44no—
656C22×D11—44no—
657C22×D11—44no—
658C22×D11—82no—
659C22×D11—82no—
660C22×D11—82no—
661C22×D11—82no—
662D4×C11—44no—
663D4×C11—82no—
664D4×C11—82no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—44no—
698C2×C4×C11—44no—
699C2×C4×C11—44no—
700C2×C4×C11—44no—
701C2×C4×C11—44no—
702C2×C4×C11—44no—
703C2×C4×C11H(5,𝔽2)12yes—
704C22⋊D11—44no—
705C22⋊D11—44no—
706C22⋊D11—44no—
707C22⋊D11—44no—
708C22⋊D11—82no—
709C22⋊D11—82no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—44no—
751C2×Dic11—82no—
752C2×Dic11—82no—
753C2×Dic11—82no—
754C2×Dic11C2×#4112yes—
755C2×Dic11C2×#4112yes—
756Dic22—82no—
757Dic22—82no—
758Dic22—82no—
759C23×D4—111no—
760C24×C4C2×D1111yescharacteristic
761C2×#126—111no—
762C2×#126—111no—
763C2×#124—111no—
764C2×#124—111no—
765C2×#124—111no—
766C2×#124—111no—
767C2×#123C2×D1111yescharacteristic, complemented
768C2×#123C2×D1111yescharacteristic, complemented
769C2×C22⋊Q8—111no—
770C2×C22⋊Q8—111no—
771C2×C22⋊Q8—111no—
772C2×C22⋊Q8—111no—
773C2×C22⋊Q8—111no—
774C2×#121—111no—
775C2×#121—111no—
776C2×#120—111no—
777C2×#120C2×D1111yescharacteristic
778C2×C4×D4—111no—
779C22×C22⋊C4—111no—
780C22×C22⋊C4—111no—
781C22×C22⋊C4—111no—
782#400—111no—
783#399—111no—
784#399—111no—
785#399—111no—
786#398—111no—
787#398—111no—
788#397—111no—
789#397—111no—
790#397—111no—
791#397—111no—
792#397—111no—
793#397—111no—
794#397—111no—
795#397—111no—
796#397—111no—
797#397—111no—
798#397—111no—
799#397—111no—
800#396—111no—
801#396—111no—
802#396—111no—
803#396—111no—
804#396—111no—
805#396—111no—
806#395—111no—
807#395—111no—
808#395—111no—
809#394—111no—
810#394—111no—
811#394—111no—
812#394—111no—
813#394—111no—
814#394—111no—
815#394—111no—
816#394—111no—
817#394—111no—
818#394—111no—
819#394—111no—
820#394—111no—
821#394—111no—
822#394—111no—
823#393—111no—
824#393—111no—
825#393—111no—
826#393—111no—
827#393—111no—
828#392—111no—
829#392—111no—
830#391—111no—
831#391—111no—
832#391—111no—
833#391—111no—
834#390—111no—
835#390—111no—
836#390—111no—
837#390—111no—
838#390—111no—
839#390—111no—
840#389—111no—
841#389—111no—
842#389—111no—
843#389—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388—111no—
851#388—111no—
852#388—111no—
853#388—111no—
854#388—111no—
855#388—111no—
856#387—111no—
857#387—111no—
858#387—111no—
859#387—111no—
860#387—111no—
861#387—111no—
862#387—111no—
863#387—111no—
864#386—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386—111no—
874#386C2×D1111yescharacteristic
875#386C2×D1111yescharacteristic
876#386C2×D1111yescharacteristic, complemented
877#386C2×D1111yescharacteristic, complemented
878#385—111no—
879#385—111no—
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385—111no—
886#385—111no—
887#385—111no—
888#385C2×D1111yescharacteristic
889#385C2×D1111yescharacteristic
890#385C2×D1111yescharacteristic, complemented
891#385C2×D1111yescharacteristic, complemented
892#383—111no—
893#382—111no—
894#381—111no—
895#381C2×D1111yescharacteristic, complemented
896#381C2×D1111yescharacteristic, complemented
897#380—111no—
898#380—111no—
899#380—111no—
900#380—111no—
901#380—111no—
902#380—111no—
903#379—111no—
904#379—111no—
905#379—111no—
906#379—111no—
907#379—111no—
908#379C2×D1111yescharacteristic
909C4×C22⋊C4—111no—
910C4×C22⋊C4—111no—
911C4×C22⋊C4—111no—
912C2×#95—111no—
913C2×#95—111no—
914C22×C11—22no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—22no—
924C22×C11—22no—
925C22×C11—22no—
926C22×C11—416no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11—41no—
932C22×C11—41no—
933C22×C11—41no—
934C22×C11—41no—
935C22×C11—41no—
936C22×C11—41no—
937C22×C11—41no—
938C22×C11—41no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11#54214yes—
943C22×C11C22×#4111yescharacteristic
944C22×C11C2×H(5,𝔽2)11yescharacteristic
945C22×C11C2×H(5,𝔽2)11yescharacteristic
946C22×C11C2×H(5,𝔽2)11yescharacteristic
947C22×C11C2×H(5,𝔽2)11yescharacteristic
948C22×C11C2×2−1+411yescharacteristic
949C22×C11#58511yescharacteristic
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—88no—
965C4×C11—22no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975C4×C11—41no—
976Dic11—22no—
977Dic11—22no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990C25—111no—
991C25C22×D1111yescharacteristic
992C22×Q8—111no—
993C22×Q8—111no—
994C22×Q8—111no—
995C22×D4—111no—
996C22×D4—111no—
997C22×D4—111no—
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—224no—
1002C22×D4—442no—
1003C22×D4—442no—
1004C22×D4C22×D1111yescharacteristic
1005C22×D4C22×D1111yescharacteristic
1006C22×D4C22×D1111yescharacteristic
1007C23×C4—42no—
1008C23×C4—42no—
1009C23×C4—42no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4C22×D1111yescharacteristic
1015C23×C4C22×D1111yescharacteristic
1016C23×C4C22×D1111yescharacteristic
1017C23×C4C22×D1111yescharacteristic
1018C23×C4C22×D1111yescharacteristic
1019C23×C4C22×D1111yescharacteristic
1020#126—442no—
1021#126—442no—
1022#124—442no—
1023#124—442no—
1024#124—442no—
1025#124—442no—
1026#123—42no—
1027#123—42no—
1028C22⋊Q8—224no—
1029C22⋊Q8—442no—
1030C22⋊Q8—442no—
1031C22⋊Q8—442no—
1032C22⋊Q8—442no—
1033#121—442no—
1034#121—442no—
1035#120—42no—
1036#120—442no—
1037C4×D4—224no—
1038C2×C4⋊C4—111no—
1039C2×C4⋊C4—111no—
1040C2×C4⋊C4—111no—
1041C2×C4⋊C4—111no—
1042C2×C4⋊C4—111no—
1043C2×C4⋊C4—111no—
1044C2×C4⋊C4—111no—
1045C2×C4⋊C4—111no—
1046C2×C4⋊C4—111no—
1047C2×C4⋊C4—111no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4C22×D1111yescharacteristic
1063C2×C4⋊C4C22×D1111yescharacteristic
1064C2×C4⋊C4C22×D1111yescharacteristic
1065C2×C4⋊C4C22×D1111yescharacteristic
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—111no—
1075C2×C22⋊C4—111no—
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—442no—
1110C2×C22⋊C4—442no—
1111C2×C22⋊C4—442no—
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C22⋊C4C22×D1111yescharacteristic
1117C2×C22⋊C4C22×D1111yescharacteristic
1118C2×C22⋊C4C22×D1111yescharacteristic
1119C2×C22⋊C4C22×D1111yescharacteristic
1120C2×C22⋊C4C22×D1111yescharacteristic
1121C2×C22⋊C4C22×D1111yescharacteristic
1122C2×C22⋊C4C22×D1111yescharacteristic
1123C2×C22⋊C4C22×D1111yescharacteristic
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C42—111no—
1126C2×C42—111no—
1127C2×C42—111no—
1128C2×C42—111no—
1129C2×C42—111no—
1130C2×C42—111no—
1131C2×C42—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95C22×D1111yescharacteristic
1165#95C22×D1111yescharacteristic
1166#95C22×D1111yescharacteristic
1167#95C22×D1111yescharacteristic
1168#95C22×D1111yescharacteristic
1169#95C22×D1111yescharacteristic
1170#95C22×D1111yescharacteristic
1171#95C22×D1111yescharacteristic
1172C2×C11—24no—
1173C2×C11—42no—
1174C2×C11—42no—
1175C2×C11—81no—
1176C2×C11C2×#54211yescharacteristic
1177C2×C11#349011yescharacteristic
1178C2×C11#350611yescharacteristic
1179C2×C11#353211yescharacteristic
1180C2×C11#353411yescharacteristic
1181C2×C11#353511yescharacteristic
1182C2×C11#353611yescharacteristic
1183D11—81no—
1184D11—81no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—41no—
1191C24—41no—
1192C24—111no—
1193C24—111no—
1194C24—222no—
1195C24—222no—
1196C24—222no—
1197C24—441no—
1198C24—441no—
1199C24—441no—
1200C24—441no—
1201C24C23×D1111yescharacteristic
1202C24C23×D1111yescharacteristic
1203C24C23×D1111yescharacteristic
1204C24C23×D1111yescharacteristic
1205C2×Q8—222no—
1206C2×Q8—222no—
1207C2×Q8—441no—
1208C2×Q8—441no—
1209C2×Q8—441no—
1210C2×Q8—441no—
1211C2×Q8—441no—
1212C2×Q8—441no—
1213C2×Q8—441no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—222no—
1224C2×D4—222no—
1225C2×D4—222no—
1226C2×D4—222no—
1227C2×D4—222no—
1228C2×D4—222no—
1229C2×D4—222no—
1230C2×D4—222no—
1231C2×D4—441no—
1232C2×D4—441no—
1233C2×D4—441no—
1234C2×D4—441no—
1235C2×D4—441no—
1236C2×D4—441no—
1237C2×D4—441no—
1238C2×D4—441no—
1239C2×D4—441no—
1240C2×D4—441no—
1241C2×D4—4416no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—416no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—114no—
1264C22×C4—111no—
1265C22×C4—111no—
1266C22×C4—111no—
1267C22×C4—111no—
1268C22×C4—111no—
1269C22×C4—111no—
1270C22×C4—111no—
1271C22×C4—111no—
1272C22×C4—111no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—111no—
1276C22×C4—222no—
1277C22×C4—222no—
1278C22×C4—222no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4C23×D1111yescharacteristic
1288C22×C4C23×D1111yescharacteristic
1289C22×C4C23×D1111yescharacteristic
1290C22×C4C23×D1111yescharacteristic
1291C22×C4C23×D1111yescharacteristic
1292C22×C4C23×D1111yescharacteristic
1293C22×C4C23×D1111yescharacteristic
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C4⋊C4—22no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—222no—
1303C4⋊C4—222no—
1304C4⋊C4—222no—
1305C4⋊C4—222no—
1306C4⋊C4—222no—
1307C4⋊C4—441no—
1308C4⋊C4—441no—
1309C4⋊C4—441no—
1310C4⋊C4—441no—
1311C4⋊C4—441no—
1312C4⋊C4—441no—
1313C4⋊C4—441no—
1314C4⋊C4—441no—
1315C4⋊C4—441no—
1316C4⋊C4—441no—
1317C4⋊C4—441no—
1318C4⋊C4—441no—
1319C4⋊C4—441no—
1320C4⋊C4—441no—
1321C4⋊C4—441no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—222no—
1340C22⋊C4—222no—
1341C22⋊C4—222no—
1342C22⋊C4—222no—
1343C22⋊C4—222no—
1344C22⋊C4—222no—
1345C22⋊C4—222no—
1346C22⋊C4—222no—
1347C22⋊C4—222no—
1348C22⋊C4—222no—
1349C22⋊C4—222no—
1350C22⋊C4—222no—
1351C22⋊C4—222no—
1352C22⋊C4—441no—
1353C22⋊C4—441no—
1354C22⋊C4—441no—
1355C22⋊C4—441no—
1356C22⋊C4—441no—
1357C22⋊C4—441no—
1358C22⋊C4—441no—
1359C22⋊C4—441no—
1360C22⋊C4—441no—
1361C22⋊C4—441no—
1362C22⋊C4—441no—
1363C22⋊C4—441no—
1364C22⋊C4—441no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C22⋊C4—441no—
1376C22⋊C4—441no—
1377C22⋊C4—441no—
1378C22⋊C4—441no—
1379C22⋊C4—441no—
1380C22⋊C4—441no—
1381C22⋊C4—441no—
1382C42—222no—
1383C42—441no—
1384C42—441no—
1385C42—441no—
1386C42—441no—
1387C42—441no—
1388C42—441no—
1389C11#3679311yescharacteristic, complemented, Sylow
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—28no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23—221no—
1430C23—221no—
1431C23—221no—
1432C23—221no—
1433C23—221no—
1434C23—444no—
1435C23—444no—
1436C23—444no—
1437C23—882no—
1438C23—882no—
1439C23—882no—
1440C23—882no—
1441C23#6703712yes—
1442C23#6703712yes—
1443C23#41×D1112yes—
1444C23#6704212yes—
1445C23#6704312yes—
1446C23C24×D1111yescharacteristic
1447Q8—882no—
1448Q8—882no—
1449Q8—882no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—444no—
1454D4—444no—
1455D4—444no—
1456D4—444no—
1457D4—882no—
1458D4—882no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—112no—
1498C2×C4—112no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—444no—
1540C2×C4—882no—
1541C2×C4—882no—
1542C2×C4—882no—
1543C2×C4#6703712yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—416no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22—441no—
1581C22—441no—
1582C22—441no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—888no—
1587C22#1062319314yes—
1588C22C2×#6703711yescharacteristic
1589C22C2×#6703711yescharacteristic
1590C22C2×#6703711yescharacteristic
1591C22C2×#41×D1111yescharacteristic
1592C22C2×#6704211yescharacteristic
1593C22C2×#6704311yescharacteristic
1594C22#1062345311yescharacteristic
1595C4—22no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—222no—
1607C4—222no—
1608C4—441no—
1609C4—441no—
1610C4—441no—
1611C4—441no—
1612C4—441no—
1613C4—441no—
1614C4—441no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C2—24no—
1621C2—42no—
1622C2—42no—
1623C2—81no—
1624C2—881no—
1625C2—881no—
1626C2C2×#1062319311yescharacteristic
1627C2#1308229911yescharacteristic
1628C2#1308245911yescharacteristic
1629C2#1308277111yescharacteristic
1630C2#1308281011yescharacteristic
1631C2#1308281911yescharacteristic
1632C2#1308284311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2849C2
prime radical#13071969C2
hypercenter#2849D11
hypocenterC11#36793
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2849

Complements

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

NH ≅ G/Ntype
1. #13076903C2semidirect
2. #13076462C2semidirect
3. #13075999C2semidirect
4. #13075954C2semidirect
5. #13075865C2semidirect
6. #13075671C2semidirect
7. #13075616C2semidirect
8. #13075536C2semidirect
9. #13075425C2semidirect
10. #13075383C2semidirect
11. #13075354C2semidirect
12. #13075285C2semidirect
13. #13075223C2semidirect
14. #13075214C2semidirect
15. #13075094C2semidirect
16. #13075020C2semidirect
17. #13074867C2semidirect
18. #13074427C2semidirect
19. #13074393C2semidirect
20. #13073800C2semidirect
21. #13073629C2semidirect
22. #13072869C2semidirect
23. #13072859C2semidirect
24. #13072747C2semidirect
25. #13072741C2semidirect
26. #13072265C2semidirect
28. #13071347C2semidirect
29. #13071242C2semidirect
30. C2×#10622826C2semidirect
31. C11×#2849C2semidirect
34. C2×C11×#123C22semidirect
35. C2×C11×#123C22semidirect
41. C2×#66989C22semidirect
46. C2×#66977C22semidirect
47. C2×#66977C22semidirect
48. C2×#66951C22semidirect
51. C2×#66938C22semidirect
52. C2×#66932C22semidirect
57. C11×#386C22semidirect
58. C11×#386C22semidirect
61. C11×#385C22semidirect
62. C11×#385C22semidirect
63. C11×#381C22semidirect
64. C11×#381C22semidirect
70. #10622835C22semidirect
71. #10622835C22semidirect
72. #10622834C22semidirect
84. #10622825C22semidirect
85. #10622825C22semidirect
88. #10622823C22semidirect
89. #10622823C22semidirect
90. #10622823C22semidirect
91. #10622823C22semidirect
94. #10622607C22semidirect
95. #10622607C22semidirect
96. #10622607C22semidirect
97. #10622606C22semidirect
98. #10622605C22semidirect
99. #10622605C22semidirect
100. #10622603C22semidirect
101. #10622598C22semidirect
102. #10622597C22semidirect
103. #10622592C22semidirect
104. #10622591C22semidirect
105. #10622587C22semidirect
106. #10622586C22semidirect
107. #10622586C22semidirect
108. #10622585C22semidirect
113. #10622574C22semidirect
114. #10622574C22semidirect
115. #10622574C22semidirect
118. #10622572C22semidirect
119. #10622572C22semidirect
120. #10622572C22semidirect
125. #10622570C22semidirect
129. #10622566C22semidirect
130. #10622566C22semidirect
131. #10622565C22semidirect
132. #10622565C22semidirect
133. #10622564C22semidirect
135. #10622563C22semidirect
136. #10622562C22semidirect
137. #10622561C22semidirect
138. #10622560C22semidirect
139. #10622560C22semidirect
141. #10622559C22semidirect
142. #10622558C22semidirect
143. #10622558C22semidirect
144. #10622558C22semidirect
145. #10622558C22semidirect
146. #10622557C22semidirect
147. #10622557C22semidirect
148. #10622556C22semidirect
151. #10622555C22semidirect
155. #10622289C22semidirect
156. #10622289C22semidirect
157. #10622288C22semidirect
158. #10622288C22semidirect
159. #10622288C22semidirect
160. #10622288C22semidirect
161. #10622287C22semidirect
162. #10622287C22semidirect
163. #10622287C22semidirect
164. #10622286C22semidirect
165. #10622286C22semidirect
166. #10622286C22semidirect
167. #10622283C22semidirect
168. #10622283C22semidirect
169. #10622282C22semidirect
170. #10622282C22semidirect
171. #10622273C22semidirect
172. #10622270C22semidirect
173. #10622269C22semidirect
174. #10622269C22semidirect
175. #10622268C22semidirect
176. #10622267C22semidirect
177. #10622267C22semidirect
178. #10622266C22semidirect
179. #10622266C22semidirect
180. #10622265C22semidirect
181. #10622265C22semidirect
182. #10622264C22semidirect
183. #10622263C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
574. #2849D11semidirect
767. C2×#123C2×D11semidirect
768. C2×#123C2×D11semidirect
876. #386C2×D11semidirect
877. #386C2×D11semidirect
890. #385C2×D11semidirect
891. #385C2×D11semidirect
895. #381C2×D11semidirect
896. #381C2×D11semidirect
1389. C11#36793semidirect

Maximal subgroups

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

subgroupindex
#130769032
#130764622
#130759992
#130759542
#130758652
#130756712
#130756162
#130755362
#130754252
#130753832
#130753542
#130752852
#130752232
#130752142
#130750942
#130750202
#130748672
#130744272
#130743932
#130738002
#130736292
#130728692
#130728592
#130727472
#130727412
#130722652
#130719692
#130713472
#130712422
C2×#106228262
C11×#28492
#3679311