Finite Group Databasebeta

← #14962635

Subgroups — #14962635

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#13076908C211yesmaximal, characteristic, complemented
2#13076903C211yesmaximal, characteristic, complemented
3#13076458C211yesmaximal, characteristic, complemented
4#13076003C211yesmaximal, characteristic, complemented
5#13075947C211yesmaximal, characteristic, complemented
6#13075869C211yesmaximal, characteristic, complemented
7#13075675C211yesmaximal, characteristic, complemented
8#13075614C211yesmaximal, characteristic, complemented
9#13075538C211yesmaximal, characteristic, complemented
10#13075422C211yesmaximal, characteristic, complemented
11#13075383C211yesmaximal, characteristic, complemented
12#13075358C211yesmaximal, characteristic, complemented
13#13075293C211yesmaximal, characteristic, complemented
14#13075232C211yesmaximal, characteristic, complemented
15#13075218C211yesmaximal, characteristic, complemented
16#13075092C211yesmaximal, characteristic, complemented
17#13075017C211yesmaximal, characteristic, complemented
18#13074871C211yesmaximal, characteristic, complemented
19#13074421C211yesmaximal, characteristic, complemented
20#13074389C211yesmaximal, characteristic, complemented
21#13073796C211yesmaximal, characteristic, complemented
22#13073627C211yesmaximal, characteristic, complemented
23#13072856C211yesmaximal, characteristic, complemented
24#13072856C211yesmaximal, characteristic, complemented
25#13072736C211yesmaximal, characteristic, complemented
26#13072736C211yesmaximal, characteristic, complemented
27#13072263C211yesmaximal, characteristic, complemented
28#13071966C211yesmaximal, characteristic
29#13071349C211yesmaximal, characteristic, complemented
30#13071250C211yesmaximal, characteristic, complemented
31C2×C11×#386C211yesmaximal, characteristic, complemented
32C23×D4×C11C2211yescharacteristic
33C24×C4×C11C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic
35C22×C11×C22⋊C4C2211yescharacteristic
36C22×C11×C22⋊C4C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C2×#67006C2211yescharacteristic
39C2×#66991C2211yescharacteristic
40C2×#66991C2211yescharacteristic
41C2×#66989C2211yescharacteristic
42C2×#66989C2211yescharacteristic
43C2×#66982C2211yescharacteristic, complemented
44C2×#66982C2211yescharacteristic, complemented
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×#66977C2211yescharacteristic
47C2×#66977C2211yescharacteristic
48C2×#66977C2211yescharacteristic
49C2×#66977C2211yescharacteristic, complemented
50C2×#66977C2211yescharacteristic, complemented
51C2×#66938C2211yescharacteristic, complemented
52C2×#66938C2211yescharacteristic, complemented
53C2×#66932C2211yescharacteristic, complemented
54C2×#66932C2211yescharacteristic, complemented
55C11×#386C2211yescharacteristic
56C11×#386C2211yescharacteristic
57C11×#386C2211yescharacteristic
58C11×#386C2211yescharacteristic
59C11×#386C2211yescharacteristic
60C11×#386C2211yescharacteristic
61C11×#386C2211yescharacteristic
62C11×#386C2211yescharacteristic
63C2×C11×#95C2211yescharacteristic
64C2×C11×#95C2211yescharacteristic
65#10622860C2211yescharacteristic
66#10622860C2211yescharacteristic
67#10622860C2211yescharacteristic
68#10622860C2211yescharacteristic
69#10622860C2211yescharacteristic
70#10622860C2211yescharacteristic
71#10622836C2211yescharacteristic
72#10622836C2211yescharacteristic
73#10622835C2211yescharacteristic
74#10622835C2211yescharacteristic
75#10622835C2211yescharacteristic
76#10622835C2211yescharacteristic
77#10622835C2211yescharacteristic
78#10622835C2211yescharacteristic
79#10622834C2211yescharacteristic
80#10622834C2211yescharacteristic
81#10622834C2211yescharacteristic
82#10622834C2211yescharacteristic
83#10622826C2211yescharacteristic
84#10622826C2211yescharacteristic
85#10622826C2211yescharacteristic
86#10622826C2211yescharacteristic
87#10622826C2211yescharacteristic, complemented
88#10622826C2211yescharacteristic, complemented
89#10622825C2211yescharacteristic
90#10622825C2211yescharacteristic
91#10622825C2211yescharacteristic
92#10622825C2211yescharacteristic, complemented
93#10622825C2211yescharacteristic, complemented
94#10622824C2211yescharacteristic, complemented
95#10622824C2211yescharacteristic, complemented
96#10622823C2211yescharacteristic
97#10622823C2211yescharacteristic
98#10622823C2211yescharacteristic
99#10622823C2211yescharacteristic
100#10622823C2211yescharacteristic
101#10622823C2211yescharacteristic
102#10622823C2211yescharacteristic, complemented
103#10622823C2211yescharacteristic, complemented
104#10622823C2211yescharacteristic, complemented
105#10622823C2211yescharacteristic, complemented
106#10622823C2211yescharacteristic, complemented
107#10622823C2211yescharacteristic, complemented
108C4×C22⋊Dic11C2211yescharacteristic
109C4×C22⋊Dic11C2211yescharacteristic
110C4×C22⋊Dic11C2211yescharacteristic
111#10622574C2211yescharacteristic, complemented
112#10622574C2211yescharacteristic, complemented
113#10622572C2211yescharacteristic, complemented
114#10622572C2211yescharacteristic, complemented
115#10622572C2211yescharacteristic, complemented
116#10622572C2211yescharacteristic, complemented
117#10622572C2211yescharacteristic, complemented
118#10622572C2211yescharacteristic, complemented
119#10622570C2211yescharacteristic, complemented
120#10622570C2211yescharacteristic, complemented
121#10622566C2211yescharacteristic, complemented
122#10622566C2211yescharacteristic, complemented
123#10622565C2211yescharacteristic, complemented
124#10622565C2211yescharacteristic, complemented
125#10622565C2211yescharacteristic, complemented
126#10622565C2211yescharacteristic, complemented
127#10622565C2211yescharacteristic, complemented
128#10622565C2211yescharacteristic, complemented
129#10622565C2211yescharacteristic, complemented
130#10622565C2211yescharacteristic, complemented
131#10622565C2211yescharacteristic, complemented
132#10622565C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622564C2211yescharacteristic, complemented
135#10622564C2211yescharacteristic, complemented
136#10622564C2211yescharacteristic, complemented
137#10622562C2211yescharacteristic, complemented
138#10622562C2211yescharacteristic, complemented
139#10622561C2211yescharacteristic, complemented
140#10622561C2211yescharacteristic, complemented
141#10622561C2211yescharacteristic, complemented
142#10622561C2211yescharacteristic, complemented
143#10622561C2211yescharacteristic, complemented
144#10622561C2211yescharacteristic, complemented
145#10622560C2211yescharacteristic, complemented
146#10622560C2211yescharacteristic, complemented
147#10622560C2211yescharacteristic, complemented
148#10622560C2211yescharacteristic, complemented
149#10622558C2211yescharacteristic, complemented
150#10622558C2211yescharacteristic, complemented
151#10622557C2211yescharacteristic, complemented
152#10622557C2211yescharacteristic, complemented
153#10622557C2211yescharacteristic, complemented
154#10622557C2211yescharacteristic, complemented
155#10622290C2211yescharacteristic, complemented
156#10622286C2211yescharacteristic, complemented
157#10622282C2211yescharacteristic, complemented
158#10622282C2211yescharacteristic, complemented
159#10622281C2211yescharacteristic, complemented
160#10622281C2211yescharacteristic, complemented
161#10622280C2211yescharacteristic, complemented
162#10622277C2211yescharacteristic, complemented
163#10622272C2211yescharacteristic, complemented
164#10622270C2211yescharacteristic, complemented
165#10622270C2211yescharacteristic, complemented
166#10622269C2211yescharacteristic, complemented
167#10622269C2211yescharacteristic, complemented
168#10622269C2211yescharacteristic, complemented
169#10622268C2211yescharacteristic, complemented
170#10622268C2211yescharacteristic, complemented
171#10622267C2211yescharacteristic, complemented
172#10622267C2211yescharacteristic, complemented
173#10622266C2211yescharacteristic, complemented
174#10622266C2211yescharacteristic, complemented
175#10622265C2211yescharacteristic, complemented
176#10622265C2211yescharacteristic, complemented
177#10622264C2211yescharacteristic, complemented
178#10622263C2211yescharacteristic, complemented
179#10622260C2211yescharacteristic, complemented
180#10622260C2211yescharacteristic, complemented
181#10622260C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C25×C11C2311yescharacteristic
189C22×D4×C11—24no—
190C22×D4×C11—42no—
191C22×D4×C11—42no—
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C23×C4×C11—42no—
197C23×C4×C11—42no—
198C23×C4×C11—42no—
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C23×C4×C11C2311yescharacteristic
202C23×C4×C11C2311yescharacteristic
203C23×C4×C11C2311yescharacteristic
204C23×C4×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C22×C22⋊D11C2311yescharacteristic
210C22×C22⋊D11C2311yescharacteristic
211C22×C22⋊D11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C22×Dic22C2311yescharacteristic
216C22×Dic22C2311yescharacteristic
217C2×C11×C22⋊C4—42no—
218C2×C11×C22⋊C4—42no—
219C2×C11×C22⋊C4—42no—
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×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232#67006—42no—
233#67006—42no—
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
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
259C2×C22⋊Dic11C2311yescharacteristic
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269#66991—42no—
270#66991—42no—
271#66989—42no—
272#66989—42no—
273#66982—42no—
274#66982—42no—
275C4×C22⋊D11—24no—
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×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
294#66977—24no—
295#66977—42no—
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×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
325#66938—42no—
326#66938—42no—
327#66932—42no—
328#66932—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—22no—
376C24×C11—22no—
377C24×C11—22no—
378C24×C11—41no—
379C24×C11—41no—
380C24×C11—41no—
381C24×C11—41no—
382C24×C11—41no—
383C24×C11—41no—
384C24×C11C2411yescharacteristic
385C24×C11C2411yescharacteristic
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C24×C11C2411yescharacteristic
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—22no—
396C2×D4×C11—22no—
397C2×D4×C11—22no—
398C2×D4×C11—41no—
399C2×D4×C11—41no—
400C2×D4×C11—41no—
401C2×D4×C11—41no—
402C2×D4×C11—416no—
403C22×C4×C11—22no—
404C22×C4×C11—22no—
405C22×C4×C11—22no—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—41no—
413C22×C4×C11—41no—
414C22×C4×C11—41no—
415C22×C4×C11—41no—
416C22×C4×C11—41no—
417C22×C4×C11—41no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11—41no—
421C22×C4×C11—41no—
422C22×C4×C11—41no—
423C22×C4×C11—41no—
424C22×C4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11—41no—
428C22×C4×C11—41no—
429C22×C4×C11—416no—
430C22×C4×C11#4114yes—
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—41no—
447C2×C22⋊D11—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—41no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C2×C4×D11—22no—
472C2×C4×D11—41no—
473C2×C4×D11—41no—
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×C22⋊C4—22no—
484C11×C22⋊C4—22no—
485C11×C22⋊C4—22no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4—41no—
489C11×C22⋊C4—41no—
490C11×C22⋊C4—41no—
491C11×C22⋊C4—41no—
492C11×C22⋊C4—41no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C22⋊Dic11—22no—
496C22⋊Dic11—22no—
497C22⋊Dic11—22no—
498C22⋊Dic11—22no—
499C22⋊Dic11—22no—
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—41no—
509C22⋊Dic11—41no—
510C22⋊Dic11—41no—
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—
521C22⋊Dic11—41no—
522C22⋊Dic11—41no—
523C22⋊Dic11—41no—
524C22⋊Dic11—41no—
525C22⋊Dic11—41no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528C22⋊Dic11—41no—
529C22⋊Dic11—41no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
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—
539C4⋊Dic11—22no—
540C4⋊Dic11—22no—
541C4⋊Dic11—41no—
542C4⋊Dic11—41no—
543C4⋊Dic11—41no—
544C4⋊Dic11—41no—
545C4⋊Dic11—41no—
546C4⋊Dic11—41no—
547C4⋊Dic11—41no—
548Dic11⋊C4—22no—
549Dic11⋊C4—22no—
550Dic11⋊C4—22no—
551Dic11⋊C4—22no—
552Dic11⋊C4—41no—
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#2849—111no—
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×#386D1111yescharacteristic, complemented
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—21no—
630C23×C11—21no—
631C23×C11—21no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—44no—
637C23×C11—44no—
638C23×C11—44no—
639C23×C11—44no—
640C23×C11—44no—
641C23×C11—44no—
642C23×C11—44no—
643C23×C11—44no—
644C23×C11—44no—
645C23×C11—82no—
646C23×C11—82no—
647C23×C11—82no—
648C23×C11—82no—
649C23×C11C2×#4112yes—
650C23×C11H(5,𝔽2)12yes—
651C23×C11H(5,𝔽2)12yes—
652C23×C11H(5,𝔽2)12yes—
653C23×C112−1+412yes—
654C23×C11C2511yescharacteristic
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662D4×C11—44no—
663D4×C11—44no—
664D4×C11—44no—
665D4×C11—44no—
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—44no—
694C2×C4×C11—44no—
695C2×C4×C11—44no—
696C2×C4×C11—44no—
697C2×C4×C11—44no—
698C2×C4×C11—44no—
699C2×C4×C11—44no—
700C2×C4×C11—82no—
701C2×C4×C11—82no—
702C2×C4×C11C2×#4112yes—
703C2×C4×C11C2×#4112yes—
704C2×C4×C11H(5,𝔽2)12yes—
705C22⋊D11—44no—
706C22⋊D11—82no—
707C22⋊D11—82no—
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—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C4×D11—82no—
756Dic22—82no—
757Dic22—82no—
758Dic22—82no—
759C23×D4C2×D1111yescharacteristic
760C24×C4C2×D1111yescharacteristic
761C2×#126—111no—
762C2×#126—111no—
763C2×#124—111no—
764C2×#124—111no—
765C2×#124—111no—
766C2×#124—111no—
767C2×#123—111no—
768C2×#123—111no—
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×#120—111no—
778C2×C4×D4—111no—
779C22×C22⋊C4C2×D1111yescharacteristic
780C22×C22⋊C4C2×D1111yescharacteristic
781C22×C22⋊C4C2×D1111yescharacteristic
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#386C2×D1111yescharacteristic
871#386C2×D1111yescharacteristic
872#386C2×D1111yescharacteristic
873#386C2×D1111yescharacteristic
874#386C2×D1111yescharacteristic
875#386C2×D1111yescharacteristic
876#386C2×D1111yescharacteristic
877#386C2×D1111yescharacteristic
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#385—111no—
889#385—111no—
890#385—111no—
891#385—111no—
892#383—111no—
893#382—111no—
894#381—111no—
895#381—111no—
896#381—111no—
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#379—111no—
909C4×C22⋊C4—111no—
910C4×C22⋊C4—111no—
911C4×C22⋊C4—111no—
912C2×#95C2×D1111yescharacteristic
913C2×#95C2×D1111yescharacteristic
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—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—88no—
950C22×C11#54214yes—
951C22×C11C22×#4111yescharacteristic
952C22×C11C2×H(5,𝔽2)11yescharacteristic
953C22×C11C2×H(5,𝔽2)11yescharacteristic
954C22×C11C2×H(5,𝔽2)11yescharacteristic
955C22×C11C2×H(5,𝔽2)11yescharacteristic
956C22×C11C2×2−1+411yescharacteristic
957C22×C11#58511yescharacteristic
958C2×D11—41no—
959C2×D11—41no—
960C2×D11—41no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C4×C11—22no—
966C4×C11—22no—
967C4×C11—22no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11—41no—
972C4×C11—41no—
973C4×C11—41no—
974C4×C11—41no—
975Dic11—41no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988Dic11—41no—
989Dic11—41no—
990C25C22×D1111yescharacteristic
991C25C22×D1111yescharacteristic
992C22×Q8—111no—
993C22×Q8—111no—
994C22×Q8—111no—
995C22×D4—24no—
996C22×D4—42no—
997C22×D4—42no—
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—111no—
1002C22×D4—111no—
1003C22×D4C22×D1111yescharacteristic
1004C22×D4C22×D1111yescharacteristic
1005C22×D4C22×D1111yescharacteristic
1006C22×D4C22×D1111yescharacteristic
1007C23×C4—42no—
1008C23×C4—42no—
1009C23×C4—42no—
1010C23×C4—111no—
1011C23×C4C22×D1111yescharacteristic
1012C23×C4C22×D1111yescharacteristic
1013C23×C4C22×D1111yescharacteristic
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—442no—
1027#123—442no—
1028C22⋊Q8—224no—
1029C22⋊Q8—442no—
1030C22⋊Q8—442no—
1031C22⋊Q8—442no—
1032C22⋊Q8—442no—
1033#121—442no—
1034#121—442no—
1035#120—442no—
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⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C22⋊C4—42no—
1067C2×C22⋊C4—42no—
1068C2×C22⋊C4—42no—
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—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
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×C11—81no—
1177C2×C11C2×#54211yescharacteristic
1178C2×C11#349011yescharacteristic
1179C2×C11#350611yescharacteristic
1180C2×C11#353211yescharacteristic
1181C2×C11#353411yescharacteristic
1182C2×C11#353511yescharacteristic
1183C2×C11#353611yescharacteristic
1184D11—81no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—41no—
1194C24—41no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—111no—
1200C24C23×D1111yescharacteristic
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—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—416no—
1227C2×D4—222no—
1228C2×D4—222no—
1229C2×D4—222no—
1230C2×D4—222no—
1231C2×D4—222no—
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—441no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
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—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—416no—
1269C22×C4—111no—
1270C22×C4—111no—
1271C22×C4—111no—
1272C22×C4—111no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—111no—
1276C22×C4—111no—
1277C22×C4—111no—
1278C22×C4—111no—
1279C22×C4—111no—
1280C22×C4—111no—
1281C22×C4—111no—
1282C22×C4—111no—
1283C22×C4—111no—
1284C22×C4—222no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4#433914yes—
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—222no—
1299C4⋊C4—222no—
1300C4⋊C4—222no—
1301C4⋊C4—222no—
1302C4⋊C4—222no—
1303C4⋊C4—222no—
1304C4⋊C4—441no—
1305C4⋊C4—441no—
1306C4⋊C4—441no—
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—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—222no—
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—222no—
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—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—221no—
1435C23—221no—
1436C23—221no—
1437C23—221no—
1438C23—221no—
1439C23—221no—
1440C23—221no—
1441C23C2×#433912yes—
1442C23#6703712yes—
1443C23#6703712yes—
1444C23#6703712yes—
1445C23#6704312yes—
1446C23C24×D1111yescharacteristic
1447Q8—882no—
1448Q8—882no—
1449Q8—882no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—444no—
1455D4—882no—
1456D4—882no—
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—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—82no—
1494C2×C4—82no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
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—221no—
1540C2×C4—882no—
1541C2×C4C2×#433912yes—
1542C2×C4C2×#433912yes—
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—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—88no—
1580C22—441no—
1581C22—441no—
1582C22—441no—
1583C22—441no—
1584C22—441no—
1585C22—441no—
1586C22—441no—
1587C22#1062309214yes—
1588C22C22×#433911yescharacteristic
1589C22C2×#6703711yescharacteristic
1590C22C2×#6703711yescharacteristic
1591C22C2×#6703711yescharacteristic
1592C22C2×#6703711yescharacteristic
1593C22C2×#6704311yescharacteristic
1594C22#1062345311yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—22no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—441no—
1606C4—441no—
1607C4—441no—
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—81no—
1625C2—881no—
1626C2C2×#1062309211yescharacteristic
1627C2#1308230511yescharacteristic
1628C2#1308246811yescharacteristic
1629C2#1308277111yescharacteristic
1630C2#1308280611yescharacteristic
1631C2#1308282911yescharacteristic
1632C2#1308283811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C11×#386C2
prime radical#13071966C2
hypercenterC2×#386D11
hypocenterC11#36793
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #13076908C2semidirect
2. #13076903C2semidirect
3. #13076458C2semidirect
4. #13076003C2semidirect
5. #13075947C2semidirect
6. #13075869C2semidirect
7. #13075675C2semidirect
8. #13075614C2semidirect
9. #13075538C2semidirect
10. #13075422C2semidirect
11. #13075383C2semidirect
12. #13075358C2semidirect
13. #13075293C2semidirect
14. #13075232C2semidirect
15. #13075218C2semidirect
16. #13075092C2semidirect
17. #13075017C2semidirect
18. #13074871C2semidirect
19. #13074421C2semidirect
20. #13074389C2semidirect
21. #13073796C2semidirect
22. #13073627C2semidirect
23. #13072856C2semidirect
24. #13072856C2semidirect
25. #13072736C2semidirect
26. #13072736C2semidirect
27. #13072263C2semidirect
29. #13071349C2semidirect
30. #13071250C2semidirect
31. C2×C11×#386C2semidirect
43. C2×#66982C22semidirect
44. C2×#66982C22semidirect
49. C2×#66977C22semidirect
50. C2×#66977C22semidirect
51. C2×#66938C22semidirect
52. C2×#66938C22semidirect
53. C2×#66932C22semidirect
54. C2×#66932C22semidirect
87. #10622826C22semidirect
88. #10622826C22semidirect
92. #10622825C22semidirect
93. #10622825C22semidirect
94. #10622824C22semidirect
95. #10622824C22semidirect
102. #10622823C22semidirect
103. #10622823C22semidirect
104. #10622823C22semidirect
105. #10622823C22semidirect
106. #10622823C22semidirect
107. #10622823C22semidirect
111. #10622574C22semidirect
112. #10622574C22semidirect
113. #10622572C22semidirect
114. #10622572C22semidirect
115. #10622572C22semidirect
116. #10622572C22semidirect
117. #10622572C22semidirect
118. #10622572C22semidirect
119. #10622570C22semidirect
120. #10622570C22semidirect
121. #10622566C22semidirect
122. #10622566C22semidirect
123. #10622565C22semidirect
124. #10622565C22semidirect
125. #10622565C22semidirect
126. #10622565C22semidirect
127. #10622565C22semidirect
128. #10622565C22semidirect
129. #10622565C22semidirect
130. #10622565C22semidirect
131. #10622565C22semidirect
132. #10622565C22semidirect
133. #10622564C22semidirect
134. #10622564C22semidirect
135. #10622564C22semidirect
136. #10622564C22semidirect
137. #10622562C22semidirect
138. #10622562C22semidirect
139. #10622561C22semidirect
140. #10622561C22semidirect
141. #10622561C22semidirect
142. #10622561C22semidirect
143. #10622561C22semidirect
144. #10622561C22semidirect
145. #10622560C22semidirect
146. #10622560C22semidirect
147. #10622560C22semidirect
148. #10622560C22semidirect
149. #10622558C22semidirect
150. #10622558C22semidirect
151. #10622557C22semidirect
152. #10622557C22semidirect
153. #10622557C22semidirect
154. #10622557C22semidirect
155. #10622290C22semidirect
156. #10622286C22semidirect
157. #10622282C22semidirect
158. #10622282C22semidirect
159. #10622281C22semidirect
160. #10622281C22semidirect
161. #10622280C22semidirect
162. #10622277C22semidirect
163. #10622272C22semidirect
164. #10622270C22semidirect
165. #10622270C22semidirect
166. #10622269C22semidirect
167. #10622269C22semidirect
168. #10622269C22semidirect
169. #10622268C22semidirect
170. #10622268C22semidirect
171. #10622267C22semidirect
172. #10622267C22semidirect
173. #10622266C22semidirect
174. #10622266C22semidirect
175. #10622265C22semidirect
176. #10622265C22semidirect
177. #10622264C22semidirect
178. #10622263C22semidirect
179. #10622260C22semidirect
180. #10622260C22semidirect
181. #10622260C22semidirect
182. #10622260C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
604. C2×#386D11semidirect
1389. C11#36793semidirect

Maximal subgroups

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

subgroupindex
#130769082
#130769032
#130764582
#130760032
#130759472
#130758692
#130756752
#130756142
#130755382
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