Finite Group Databasebeta

← #14961350

Subgroups — #14961350

Order 2816.

2152 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623093C211yesmaximal, characteristic, complemented
2#13076945C211yesmaximal, characteristic, complemented
3#13076919C211yesmaximal, characteristic, complemented
4#13075477C211yesmaximal, characteristic, complemented
5#13075369C211yesmaximal, characteristic, complemented
6#13075345C211yesmaximal, characteristic, complemented
7#13075330C211yesmaximal, characteristic, complemented
8#13075298C211yesmaximal, characteristic, complemented
9#13075253C211yesmaximal, characteristic, complemented
10#13075145C211yesmaximal, characteristic, complemented
11#13075121C211yesmaximal, characteristic, complemented
12#13075091C211yesmaximal, characteristic, complemented
13#13075078C211yesmaximal, characteristic, complemented
14#13075048C211yesmaximal, characteristic, complemented
15#13075033C211yesmaximal, characteristic, complemented
16#13074913C211yesmaximal, characteristic, complemented
17#13074878C211yesmaximal, characteristic, complemented
18#13074863C211yesmaximal, characteristic, complemented
19#13074852C211yesmaximal, characteristic, complemented
20#13074767C211yesmaximal, characteristic, complemented
21#13074744C211yesmaximal, characteristic, complemented
22#13074316C211yesmaximal, characteristic, complemented
23#13074245C211yesmaximal, characteristic, complemented
24#13074228C211yesmaximal, characteristic, complemented
25#13074215C211yesmaximal, characteristic, complemented
26#13074096C211yesmaximal, characteristic, complemented
27#13073783C211yesmaximal, characteristic, complemented
28#13072034C211yesmaximal, characteristic, complemented
29#13072023C211yesmaximal, characteristic, complemented
30#13071061C211yesmaximal, characteristic, complemented
31C2×C11×#539C211yesmaximal, characteristic, complemented
32C11×#539—28no—
33C2×C11×#126C2211yescharacteristic
34C2×C11×#126C2211yescharacteristic
35C2×C11×#125C2211yescharacteristic
36C2×C11×#125C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×#123C2211yescharacteristic
39C2×C11×#123C2211yescharacteristic
40C2×C11×#123C2211yescharacteristic
41C2×C11×C22⋊Q8C2211yescharacteristic
42C2×C11×C22⋊Q8C2211yescharacteristic
43C2×C11×C22⋊Q8C2211yescharacteristic
44C2×C11×#121C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C22×C11×C4⋊C4C2211yescharacteristic
48C2×#67000C2211yescharacteristic
49C2×#66993C2211yescharacteristic
50C2×#66992C2211yescharacteristic
51C2×#66991C2211yescharacteristic
52C2×#66983C2211yescharacteristic
53C2×#66983C2211yescharacteristic
54C2×#66983C2211yescharacteristic
55C2×#66982C2211yescharacteristic
56C2×#66982C2211yescharacteristic
57C2×#66982C2211yescharacteristic
58C2×#66979C2211yescharacteristic
59C22×C4×Dic11C2211yescharacteristic
60#10623093—28no—
61C2×#66948C2211yescharacteristic
62C2×#66943C2211yescharacteristic
63C2×#66937C2211yescharacteristic
64C2×#66937C2211yescharacteristic
65C2×#66936C2211yescharacteristic
66C2×#66936C2211yescharacteristic
67C2×C4×D44C2211yescharacteristic
68C2×#66925C2211yescharacteristic
69#10622844C2211yescharacteristic
70#10622843C2211yescharacteristic
71#10622842C2211yescharacteristic
72#10622836C2211yescharacteristic
73#10622836C2211yescharacteristic
74#10622836C2211yescharacteristic
75#10622836C2211yescharacteristic
76#10622836C2211yescharacteristic
77#10622835C2211yescharacteristic
78#10622833C2211yescharacteristic
79#10622833C2211yescharacteristic
80#10622833C2211yescharacteristic
81#10622826C2211yescharacteristic
82#10622826C2211yescharacteristic
83#10622826C2211yescharacteristic
84#10622826C2211yescharacteristic
85#10622826C2211yescharacteristic
86#10622826C2211yescharacteristic
87#10622825C2211yescharacteristic
88#10622824C2211yescharacteristic
89#10622823C2211yescharacteristic
90#10622823C2211yescharacteristic
91C4×C22⋊Dic11C2211yescharacteristic
92C4×C22⋊Dic11C2211yescharacteristic
93#10622607C2211yescharacteristic
94#10622607C2211yescharacteristic
95#10622607C2211yescharacteristic
96#10622606C2211yescharacteristic
97#10622605C2211yescharacteristic
98#10622605C2211yescharacteristic
99#10622604C2211yescharacteristic
100#10622604C2211yescharacteristic
101#10622604C2211yescharacteristic
102#10622604C2211yescharacteristic
103#10622604C2211yescharacteristic
104#10622604C2211yescharacteristic
105#10622603C2211yescharacteristic
106#10622603C2211yescharacteristic
107#10622603C2211yescharacteristic
108#10622603C2211yescharacteristic
109#10622603C2211yescharacteristic
110#10622603C2211yescharacteristic
111#10622603C2211yescharacteristic
112#10622603C2211yescharacteristic
113#10622603C2211yescharacteristic
114#10622603C2211yescharacteristic
115#10622602C2211yescharacteristic
116#10622602C2211yescharacteristic
117#10622602C2211yescharacteristic
118#10622602C2211yescharacteristic
119#10622602C2211yescharacteristic
120#10622601C2211yescharacteristic
121#10622600C2211yescharacteristic
122#10622600C2211yescharacteristic
123#10622600C2211yescharacteristic
124#10622600C2211yescharacteristic
125#10622599C2211yescharacteristic
126#10622599C2211yescharacteristic
127#10622599C2211yescharacteristic
128#10622599C2211yescharacteristic
129#10622597C2211yescharacteristic
130#10622597C2211yescharacteristic
131#10622597C2211yescharacteristic
132#10622596C2211yescharacteristic
133#10622596C2211yescharacteristic
134#10622595C2211yescharacteristic
135#10622595C2211yescharacteristic
136#10622594C2211yescharacteristic
137#10622594C2211yescharacteristic
138#10622593C2211yescharacteristic
139#10622591C2211yescharacteristic
140#10622591C2211yescharacteristic
141#10622591C2211yescharacteristic
142#10622590C2211yescharacteristic
143#10622585C2211yescharacteristic
144#10622585C2211yescharacteristic
145#10622585C2211yescharacteristic
146#10622585C2211yescharacteristic
147#10622574C2211yescharacteristic
148#10622573C2211yescharacteristic
149#10622573C2211yescharacteristic
150#10622572C2211yescharacteristic
151#10622572C2211yescharacteristic
152#10622572C2211yescharacteristic
153#10622572C2211yescharacteristic
154#10622572C2211yescharacteristic
155#10622572C2211yescharacteristic
156#10622572C2211yescharacteristic
157#10622571C2211yescharacteristic
158#10622571C2211yescharacteristic
159#10622571C2211yescharacteristic
160#10622571C2211yescharacteristic
161#10622571C2211yescharacteristic
162#10622570C2211yescharacteristic
163#10622570C2211yescharacteristic
164#10622570C2211yescharacteristic
165#10622570C2211yescharacteristic
166#10622569C2211yescharacteristic
167#10622569C2211yescharacteristic
168#10622569C2211yescharacteristic
169#10622566C2211yescharacteristic
170#10622566C2211yescharacteristic
171#10622565C2211yescharacteristic
172#10622565C2211yescharacteristic
173#10622565C2211yescharacteristic
174#10622564C2211yescharacteristic
175#10622564C2211yescharacteristic
176#10622563C2211yescharacteristic
177#10622563C2211yescharacteristic
178#10622561C2211yescharacteristic
179#10622558C2211yescharacteristic
180#10622558C2211yescharacteristic
181#10622557C2211yescharacteristic
182#10622555C2211yescharacteristic
183#10622553C2211yescharacteristic
184#10622552C2211yescharacteristic
185C4×C4⋊Dic11C2211yescharacteristic
186#10622546C2211yescharacteristic
187#10622545C2211yescharacteristic
188#10622541C2211yescharacteristic
189C22×Q8×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C11×#126—24no—
216C11×#126—24no—
217C11×#125—24no—
218C11×#125—24no—
219C11×#123—24no—
220C11×#123—24no—
221C11×#123—24no—
222C11×#123—24no—
223C11×C22⋊Q8—24no—
224C11×C22⋊Q8—24no—
225C11×C22⋊Q8—24no—
226C11×#121—24no—
227C4×D4×C11—24no—
228C4×D4×C11D418yescomplemented
229C2×C11×C4⋊C4—24no—
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊C4C2311yescharacteristic
236C2×C11×C4⋊C4C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C4⋊C4C2311yescharacteristic
239C2×C11×C4⋊C4C2311yescharacteristic
240C2×C11×C4⋊C4C2311yescharacteristic
241C2×C11×C4⋊C4C2311yescharacteristic
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C42×C11C2311yescharacteristic
255C2×C42×C11C2311yescharacteristic
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#67000—42no—
270#66993—24no—
271#66992—42no—
272#66991—24no—
273#66983—24no—
274#66983—24no—
275#66983—42no—
276#66982—24no—
277#66982—24no—
278#66982—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306#66979—42no—
307C2×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×C4×Dic11—42no—
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335#66948—24no—
336#66943—24no—
337#66937—24no—
338#66937—24no—
339#66936—24no—
340#66936—24no—
341C4×D44—24no—
342#66925—24no—
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379#36746—111nomaximal, Sylow
380C24×C11C2411yescharacteristic
381C24×C11C2411yescharacteristic
382C24×C11C2411yescharacteristic
383C23×D11C2411yescharacteristic
384C23×D11C2411yescharacteristic
385C23×D11C2411yescharacteristic
386C2×Q8×C11—22no—
387C2×Q8×C11—41no—
388C2×Q8×C11—41no—
389C2×D4×C11—22no—
390C2×D4×C11—22no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C2×D4×C11—41no—
394C2×D4×C11—41no—
395C2×D4×C11—41no—
396C2×D4×C11—41no—
397C2×D4×C11C2×D414yes—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—41no—
406C22×C4×C11—41no—
407C22×C4×C11—41no—
408C22×C4×C11—41no—
409C22×C4×C11—41no—
410C22×C4×C11—41no—
411C22×C4×C11C2×D414yes—
412C22×C4×C11C2×D414yes—
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—41no—
433C2×C22⋊D11—41no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11—41no—
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—41no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C22×Dic11—22no—
453C22×Dic11—41no—
454C22×Dic11—41no—
455C22×Dic11—41no—
456C22×Dic11—41no—
457C22×Dic11—41no—
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×D44—22no—
472C2×D44—22no—
473C2×D44—22no—
474C2×D44—41no—
475C2×D44—41no—
476C2×D44—41no—
477C2×D44—41no—
478C2×D44—41no—
479C2×D44—41no—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—41no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C11×C4⋊C4—22no—
490C11×C4⋊C4—22no—
491C11×C4⋊C4—22no—
492C11×C4⋊C4—22no—
493C11×C4⋊C4—22no—
494C11×C4⋊C4—22no—
495C11×C4⋊C4—22no—
496C11×C4⋊C4—22no—
497C11×C4⋊C4—22no—
498C11×C4⋊C4—22no—
499C11×C4⋊C4—22no—
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4C2×D414yes—
503C11×C22⋊C4—22no—
504C11×C22⋊C4—22no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4C2×D414yes—
512C11×C22⋊C4C2×D414yes—
513C42×C11—22no—
514C42×C11C2×D414yes—
515C22⋊Dic11—22no—
516C22⋊Dic11—22no—
517C22⋊Dic11—22no—
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—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
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—
543(C2×D11)⋊C4—41no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555C4⋊Dic11—22no—
556C4⋊Dic11—22no—
557C4⋊Dic11—22no—
558C4⋊Dic11—22no—
559C4⋊Dic11—41no—
560C4⋊Dic11—41no—
561C4⋊Dic11—41no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—41no—
568Dic11⋊C4—41no—
569Dic11⋊C4—41no—
570Dic11⋊C4—41no—
571Dic11⋊C4—41no—
572Dic11⋊C4—41no—
573Dic11⋊C4—41no—
574Dic11⋊C4—41no—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—22no—
578C4×Dic11—41no—
579C4×Dic11—41no—
580C4×Dic11—41no—
581C4×Dic11—41no—
582C2×#540—111no—
583C2×#539D1111yescharacteristic, complemented
584#2854—111no—
585#2850—111no—
586#2719—111no—
587#2711—111no—
588#2709—111no—
589#2708—111no—
590#2706—111no—
591#2703—111no—
592#2695—111no—
593#2693—111no—
594#2691—111no—
595#2690—111no—
596#2688—111no—
597#2687—111no—
598#2676—111no—
599#2673—111no—
600#2672—111no—
601#2671—111no—
602#2663—111no—
603#2661—111no—
604#2611—111no—
605#2603—111no—
606#2602—111no—
607#2601—111no—
608#2591—111no—
609#2562—111no—
610#2414—111no—
611#2413—111no—
612#2290—111no—
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×C11C22×D412yes—
633C23×C11C22×D412yes—
634C23×C11C2511yescharacteristic
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
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—21no—
656Q8×C11—82no—
657D4×C11—44no—
658D4×C11—44no—
659D4×C11—82no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
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—44no—
692C2×C4×C11—44no—
693C2×C4×C11—44no—
694C2×C4×C11—82no—
695C2×C4×C11—82no—
696C2×C4×C11C22×D412yes—
697C2×C4×C11C22×D412yes—
698C2×C4×C11C22×D412yes—
699C2×C4×C11C22×D412yes—
700C2×C4×C11C22×D412yes—
701C22⋊D11—82no—
702C22⋊D11—82no—
703C22⋊D11—82no—
704C22⋊D11—82no—
705C22⋊D11—82no—
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—44no—
749C2×Dic11—44no—
750C2×Dic11H(5,𝔽2)12yes—
751D44—44no—
752D44—82no—
753D44—82no—
754C4×D11—44no—
755C4×D11—82no—
756C4×D11—82no—
757#540—228no—
758#539—28no—
759C2×#127—111no—
760C2×#126C2×D1111yescharacteristic
761C2×#126C2×D1111yescharacteristic
762C2×#125—111no—
763C2×#125C2×D1111yescharacteristic
764C2×#125C2×D1111yescharacteristic
765C2×#124—111no—
766C2×#123—111no—
767C2×#123—111no—
768C2×#123—111no—
769C2×#123—111no—
770C2×#123—111no—
771C2×#123C2×D1111yescharacteristic
772C2×#123C2×D1111yescharacteristic
773C2×#123C2×D1111yescharacteristic
774C2×#123C2×D1111yescharacteristic
775C2×C22⋊Q8C2×D1111yescharacteristic
776C2×C22⋊Q8C2×D1111yescharacteristic
777C2×C22⋊Q8C2×D1111yescharacteristic
778C2×#121—111no—
779C2×#121—111no—
780C2×#121—111no—
781C2×#121—111no—
782C2×#121—111no—
783C2×#121—111no—
784C2×#121—111no—
785C2×#121—111no—
786C2×#121C2×D1111yescharacteristic
787C2×C4×D4—111no—
788C2×C4×D4C2×D1111yescharacteristic
789C2×C4×D4C2×D1111yescharacteristic
790C2×#117—111no—
791C2×#117—111no—
792C22×C4⋊C4C2×D1111yescharacteristic
793C22×C42—111no—
794#400—111no—
795#400—111no—
796#400—111no—
797#400—111no—
798#400—111no—
799#400—111no—
800#399—111no—
801#399—111no—
802#398—111no—
803#398—111no—
804#398—111no—
805#398—111no—
806#398—111no—
807#398—111no—
808#397—111no—
809#397—111no—
810#397—111no—
811#397—111no—
812#397—111no—
813#397—111no—
814#396—111no—
815#396—111no—
816#396—111no—
817#396—111no—
818#395—111no—
819#394—111no—
820#394—111no—
821#394—111no—
822#394—111no—
823#394—111no—
824#394—111no—
825#394—111no—
826#394—111no—
827#394—111no—
828#394—111no—
829#394—111no—
830#394—111no—
831#394—111no—
832#394—111no—
833#394—111no—
834#393—111no—
835#392—111no—
836#392—111no—
837#392—111no—
838#392—111no—
839#392—111no—
840#392—111no—
841#392—111no—
842#391—111no—
843#390—111no—
844#390—111no—
845#390—111no—
846#390—111no—
847#390—111no—
848#390—111no—
849#389—111no—
850#389—111no—
851#389—111no—
852#389—111no—
853#389—111no—
854#388—111no—
855#388—111no—
856#388—111no—
857#388—111no—
858#388—111no—
859#388—111no—
860#388—111no—
861#388—111no—
862#388—111no—
863#388—111no—
864#388—111no—
865#388—111no—
866#388—111no—
867#388—111no—
868#388—111no—
869#388—111no—
870#387—111no—
871#387—111no—
872#387—111no—
873#387—111no—
874#387—111no—
875#387—111no—
876#386—111no—
877#386—111no—
878#386—111no—
879#386—111no—
880#386—111no—
881#386—111no—
882#386—111no—
883#386—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#385—111no—
894#385—111no—
895#385—111no—
896#385—111no—
897#385—111no—
898#385—111no—
899#385—111no—
900#385—111no—
901#385—111no—
902#382—111no—
903#381—111no—
904#380—111no—
905#380—111no—
906#380—111no—
907#380—111no—
908#380—111no—
909#380—111no—
910C4×C4⋊C4—111no—
911C4×C22⋊C4—111no—
912C4×C22⋊C4—111no—
913#376—111no—
914C22×C11—22no—
915C22×C11—22no—
916C22×C11—22no—
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
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×C11C23×D411yescharacteristic
936C22×C11C2×H(5,𝔽2)11yescharacteristic
937C22×C11#58511yescharacteristic
938C22×C11#58511yescharacteristic
939C22×C11#58511yescharacteristic
940C22×C11#58511yescharacteristic
941C22×C11#58511yescharacteristic
942C2×D11—41no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—41no—
946C2×D11—41no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
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—
963C4×C11—22no—
964C4×C11—22no—
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—22no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11—41no—
985Dic11—41no—
986Dic11—41no—
987Dic11—41no—
988C22×Q8C22×D1111yescharacteristic
989C22×D4—111no—
990C22×D4—111no—
991C22×D4—111no—
992C22×D4—111no—
993C22×D4—111no—
994C22×D4—111no—
995C22×D4—111no—
996C22×D4—111no—
997C22×D4—111no—
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4C22×D1111yescharacteristic
1002C22×D4C22×D1111yescharacteristic
1003C22×D4C22×D1111yescharacteristic
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4C22×D1111yescharacteristic
1010C23×C4C22×D1111yescharacteristic
1011C23×C4C22×D1111yescharacteristic
1012C23×C4C22×D1111yescharacteristic
1013C23×C4C22×D1111yescharacteristic
1014#127—224no—
1015#126—24no—
1016#126—24no—
1017#125—24no—
1018#125—24no—
1019#125—224no—
1020#124—442no—
1021#123—24no—
1022#123—24no—
1023#123—24no—
1024#123—24no—
1025#123—224no—
1026#123—224no—
1027#123—224no—
1028#123—224no—
1029#123—442no—
1030C22⋊Q8—24no—
1031C22⋊Q8—24no—
1032C22⋊Q8—24no—
1033#121—24no—
1034#121—224no—
1035#121—224no—
1036#121—224no—
1037#121—224no—
1038#121—224no—
1039#121—224no—
1040#121—442no—
1041#121—442no—
1042C4×D4—24no—
1043C4×D4—224no—
1044C4×D4C22⋊D1118yescomplemented
1045#117—224no—
1046#117—442no—
1047C2×C4⋊C4—24no—
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×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4C22×D1111yescharacteristic
1069C2×C4⋊C4C22×D1111yescharacteristic
1070C2×C4⋊C4C22×D1111yescharacteristic
1071C2×C4⋊C4C22×D1111yescharacteristic
1072C2×C4⋊C4C22×D1111yescharacteristic
1073C2×C4⋊C4C22×D1111yescharacteristic
1074C2×C4⋊C4C22×D1111yescharacteristic
1075C2×C4⋊C4C22×D1111yescharacteristic
1076C2×C4⋊C4C22×D1111yescharacteristic
1077C2×C4⋊C4C22×D1111yescharacteristic
1078C2×C4⋊C4C22×D1111yescharacteristic
1079C2×C4⋊C4C22×D1111yescharacteristic
1080C2×C4⋊C4C22×D1111yescharacteristic
1081C2×C4⋊C4C22×D1111yescharacteristic
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⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4C22×D1111yescharacteristic
1123C2×C22⋊C4C22×D1111yescharacteristic
1124C2×C22⋊C4C22×D1111yescharacteristic
1125C2×C22⋊C4C22×D1111yescharacteristic
1126C2×C22⋊C4C22×D1111yescharacteristic
1127C2×C22⋊C4C22×D1111yescharacteristic
1128C2×C22⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4C22×D1111yescharacteristic
1130C2×C22⋊C4C22×D1111yescharacteristic
1131C2×C22⋊C4C22×D1111yescharacteristic
1132C2×C42—111no—
1133C2×C42—111no—
1134C2×C42—111no—
1135C2×C42—111no—
1136C2×C42—111no—
1137C2×C42—111no—
1138C2×C42—111no—
1139C2×C42—442no—
1140C2×C42C22×D1111yescharacteristic
1141C2×C42C22×D1111yescharacteristic
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#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178C2×C11—42no—
1179C2×C11—42no—
1180C2×C11—81no—
1181C2×C11#344911yescharacteristic
1182C2×C11#349611yescharacteristic
1183C2×C11#350011yescharacteristic
1184C2×C11#353311yescharacteristic
1185C2×C11#353911yescharacteristic
1186C2×C11#356611yescharacteristic
1187C2×C11#356711yescharacteristic
1188D11—81no—
1189D11—81no—
1190D11—81no—
1191C24—111no—
1192C24—111no—
1193C24—111no—
1194C24C23×D1111yescharacteristic
1195C24C23×D1111yescharacteristic
1196C24C23×D1111yescharacteristic
1197C2×Q8—22no—
1198C2×Q8—41no—
1199C2×Q8—41no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—222no—
1209C2×D4—222no—
1210C2×D4—222no—
1211C2×D4—222no—
1212C2×D4—222no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—441no—
1219C2×D4—441no—
1220C2×D4—441no—
1221C2×D4—441no—
1222C2×D4—441no—
1223C2×D4—441no—
1224C2×D4—441no—
1225C2×D4—441no—
1226C2×D4—441no—
1227C2×D4—441no—
1228C2×D4—441no—
1229C2×D4—441no—
1230C2×D4—441no—
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—441no—
1242C2×D4—441no—
1243C2×D4—441no—
1244C2×D4C2×C22⋊D1114yes—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—41no—
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—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
1264C22×C4—111no—
1265C22×C4—111no—
1266C22×C4—111no—
1267C22×C4—111no—
1268C22×C4—111no—
1269C22×C4—111no—
1270C22×C4—111no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—441no—
1276C22×C4—441no—
1277C22×C4—441no—
1278C22×C4—441no—
1279C22×C4—441no—
1280C22×C4—441no—
1281C22×C4—441no—
1282C22×C4—441no—
1283C22×C4—441no—
1284C22×C4—441no—
1285C22×C4—441no—
1286C22×C4C2×C22⋊D1114yes—
1287C22×C4C2×C22⋊D1114yes—
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
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—441no—
1323C4⋊C4—441no—
1324C4⋊C4—441no—
1325C4⋊C4—441no—
1326C4⋊C4—441no—
1327C4⋊C4—441no—
1328C4⋊C4—441no—
1329C4⋊C4—441no—
1330C4⋊C4—441no—
1331C4⋊C4—441no—
1332C4⋊C4—441no—
1333C4⋊C4C2×C22⋊D1114yes—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
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—
1382C22⋊C4C2×C22⋊D1114yes—
1383C22⋊C4C2×C22⋊D1114yes—
1384C42—22no—
1385C42—222no—
1386C42—222no—
1387C42—222no—
1388C42—441no—
1389C42—441no—
1390C42—441no—
1391C42—441no—
1392C42C2×C22⋊D1114yes—
1393C11#3674611yescharacteristic, complemented, Sylow
1394C23—21no—
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—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
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—
1434C23C22×C22⋊D1112yes—
1435C23C22×C22⋊D1112yes—
1436C23C24×D1111yescharacteristic
1437Q8—82no—
1438D4—44no—
1439D4—44no—
1440D4—82no—
1441D4—444no—
1442D4—882no—
1443D4—882no—
1444D4—882no—
1445D4—882no—
1446D4—882no—
1447D4—882no—
1448D4—882no—
1449D4—882no—
1450D4—882no—
1451D4—882no—
1452D4—882no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
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—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—82no—
1488C2×C4—82no—
1489C2×C4—112no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
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—444no—
1529C2×C4—444no—
1530C2×C4—444no—
1531C2×C4—882no—
1532C2×C4—882no—
1533C2×C4C22×C22⋊D1112yes—
1534C2×C4C22×C22⋊D1112yes—
1535C2×C4C22×C22⋊D1112yes—
1536C2×C4C22×C22⋊D1112yes—
1537C2×C4C22×C22⋊D1112yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—441no—
1560C22—441no—
1561C22—441no—
1562C22—441no—
1563C22—441no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22—441no—
1573C22—441no—
1574C22—441no—
1575C22—441no—
1576C22—441no—
1577C22—441no—
1578C22—441no—
1579C22—441no—
1580C22#1062345311yescharacteristic
1581C22#1062345311yescharacteristic
1582C22D11×H(5,𝔽2)11yescharacteristic
1583C22#1062345511yescharacteristic
1584C22#1062345711yescharacteristic
1585C22#1062345711yescharacteristic
1586C22C23×C22⋊D1111yescharacteristic
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—222no—
1600C4—441no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4—441no—
1605C4—441no—
1606C4—441no—
1607C4—441no—
1608C4—441no—
1609C4—441no—
1610C4—441no—
1611C4—441no—
1612C2—42no—
1613C2—42no—
1614C2—81no—
1615C2—881no—
1616C2—881no—
1617C2—881no—
1618C2#1308194511yescharacteristic
1619C2#1308237511yescharacteristic
1620C2#1308241011yescharacteristic
1621C2#1308279111yescharacteristic
1622C2#1308287411yescharacteristic
1623C2#1308327211yescharacteristic
1624C2#1308330211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC2×C11×#539C2
hypercenterC2×#539D11
hypocenterC11#36746
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. C2×#10623093C2semidirect
2. #13076945C2semidirect
3. #13076919C2semidirect
4. #13075477C2semidirect
5. #13075369C2semidirect
6. #13075345C2semidirect
7. #13075330C2semidirect
8. #13075298C2semidirect
9. #13075253C2semidirect
10. #13075145C2semidirect
11. #13075121C2semidirect
12. #13075091C2semidirect
13. #13075078C2semidirect
14. #13075048C2semidirect
15. #13075033C2semidirect
16. #13074913C2semidirect
17. #13074878C2semidirect
18. #13074863C2semidirect
19. #13074852C2semidirect
20. #13074767C2semidirect
21. #13074744C2semidirect
22. #13074316C2semidirect
23. #13074245C2semidirect
24. #13074228C2semidirect
25. #13074215C2semidirect
26. #13074096C2semidirect
27. #13073783C2semidirect
28. #13072034C2semidirect
29. #13072023C2semidirect
30. #13071061C2semidirect
31. C2×C11×#539C2semidirect
228. C4×D4×C11D4semidirect
583. C2×#539D11semidirect
1044. C4×D4C22⋊D11semidirect
1393. C11#36746semidirect

Maximal subgroups

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

subgroupindex
C2×#106230932
#130769452
#130769192
#130754772
#130753692
#130753452
#130753302
#130752982
#130752532
#130751452
#130751212
#130750912
#130750782
#130750482
#130750332
#130749132
#130748782
#130748632
#130748522
#130747672
#130747442
#130743162
#130742452
#130742282
#130742152
#130740962
#130737832
#130720342
#130720232
#130710612
C2×C11×#5392
#3674611