Finite Group Databasebeta

← #14969334

Subgroups — #14969334

Order 2816.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1582 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076987C211yesmaximal, characteristic, complemented
2#13076985C211yesmaximal, characteristic, complemented
3#13076549C211yesmaximal, characteristic, complemented
4#13076238C211yesmaximal, characteristic, complemented
5#13075981C211yesmaximal, characteristic, complemented
6#13075932C211yesmaximal, characteristic, complemented
7#13075906C211yesmaximal, characteristic, complemented
8#13075653C211yesmaximal, characteristic, complemented
9#13075616C211yesmaximal, characteristic, complemented
10#13075384C211yesmaximal, characteristic, complemented
11#13075383C211yesmaximal, characteristic, complemented
12#13075370C211yesmaximal, characteristic, complemented
13#13075358C211yesmaximal, characteristic, complemented
14#13075308C211yesmaximal, characteristic, complemented
15#13075278C211yesmaximal, characteristic, complemented
16#13074945C211yesmaximal, characteristic, complemented
17#13074838C211yesmaximal, characteristic, complemented
18#13074838C211yesmaximal, characteristic, complemented
19#13074746C211yesmaximal, characteristic, complemented
20#13074683C211yesmaximal, characteristic, complemented
21#13073732C211yesmaximal, characteristic, complemented
22#13073690C211yesmaximal, characteristic, complemented
23#13072736C211yesmaximal, characteristic, complemented
24#13072562C211yesmaximal, characteristic, complemented
25#13072540C211yesmaximal, characteristic, complemented
26#13072508C211yesmaximal, characteristic, complemented
27#13072415C211yesmaximal, characteristic, complemented
28#13072078C211yesmaximal, characteristic, complemented
29#13071424C211yesmaximal, characteristic, complemented
30C4×#66938C211yesmaximal, characteristic, complemented
31C11×#2321C211yesmaximal, characteristic, complemented
32C2×C11×#120C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C22×C11×C22⋊C4C2211yescharacteristic
35C2×#67006C2211yescharacteristic
36C2×#67006C2211yescharacteristic
37C2×#66989C2211yescharacteristic
38C2×#66989C2211yescharacteristic
39C2×#66982C2211yescharacteristic, complemented
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×#66977C2211yescharacteristic
42C2×#66943C2211yescharacteristic, complemented
43C2×#66942C2211yescharacteristic, complemented
44C2×#66938C2211yescharacteristic
45C2×#66938C2211yescharacteristic
46C2×#66938C2211yescharacteristic
47C2×#66938C2211yescharacteristic, complemented
48C2×#66937C2211yescharacteristic
49C2×#66937C2211yescharacteristic, complemented
50C2×#66936C2211yescharacteristic
51C2×#66936C2211yescharacteristic
52C2×C4×Dic22C2211yescharacteristic, complemented
53C11×#390C2211yescharacteristic
54C11×#390C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#386C2211yescharacteristic
60C11×#386C2211yescharacteristic
61C11×#386C2211yescharacteristic
62C11×#385C2211yescharacteristic
63C11×#379C2211yescharacteristic
64C4×C11×C22⋊C4C2211yescharacteristic
65#10622860C2211yescharacteristic
66#10622860C2211yescharacteristic
67#10622836C2211yescharacteristic
68#10622836C2211yescharacteristic
69#10622836C2211yescharacteristic
70#10622836C2211yescharacteristic
71#10622836C2211yescharacteristic
72#10622836C2211yescharacteristic
73#10622835C2211yescharacteristic
74#10622835C2211yescharacteristic
75#10622834C2211yescharacteristic
76#10622834C2211yescharacteristic
77#10622826C2211yescharacteristic
78#10622826C2211yescharacteristic
79#10622826C2211yescharacteristic
80#10622826C2211yescharacteristic, complemented
81#10622825C2211yescharacteristic
82#10622825C2211yescharacteristic, complemented
83#10622823C2211yescharacteristic
84#10622823C2211yescharacteristic, complemented
85C4×C22⋊Dic11C2211yescharacteristic
86#10622604C2211yescharacteristic, complemented
87#10622604C2211yescharacteristic, complemented
88#10622603C2211yescharacteristic, complemented
89#10622602C2211yescharacteristic, complemented
90#10622598C2211yescharacteristic, complemented
91#10622597C2211yescharacteristic, complemented
92#10622594C2211yescharacteristic, complemented
93#10622592C2211yescharacteristic, complemented
94#10622587C2211yescharacteristic, complemented
95#10622587C2211yescharacteristic, complemented
96#10622574C2211yescharacteristic
97#10622574C2211yescharacteristic
98#10622574C2211yescharacteristic
99#10622574C2211yescharacteristic
100#10622574C2211yescharacteristic
101#10622574C2211yescharacteristic, complemented
102#10622573C2211yescharacteristic
103#10622573C2211yescharacteristic
104#10622572C2211yescharacteristic
105#10622572C2211yescharacteristic
106#10622572C2211yescharacteristic
107#10622572C2211yescharacteristic, complemented
108#10622570C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622570C2211yescharacteristic
112#10622570C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic, complemented
116#10622566C2211yescharacteristic
117#10622565C2211yescharacteristic
118#10622565C2211yescharacteristic
119#10622565C2211yescharacteristic
120#10622565C2211yescharacteristic
121#10622565C2211yescharacteristic
122#10622565C2211yescharacteristic, complemented
123#10622564C2211yescharacteristic
124#10622564C2211yescharacteristic
125#10622564C2211yescharacteristic
126#10622564C2211yescharacteristic
127#10622564C2211yescharacteristic
128#10622564C2211yescharacteristic
129#10622564C2211yescharacteristic, complemented
130#10622564C2211yescharacteristic, complemented
131#10622562C2211yescharacteristic
132#10622562C2211yescharacteristic
133#10622562C2211yescharacteristic, complemented
134#10622561C2211yescharacteristic
135#10622561C2211yescharacteristic
136#10622561C2211yescharacteristic
137#10622560C2211yescharacteristic
138#10622560C2211yescharacteristic
139#10622560C2211yescharacteristic
140#10622558C2211yescharacteristic
141#10622558C2211yescharacteristic
142#10622558C2211yescharacteristic
143#10622558C2211yescharacteristic, complemented
144#10622557C2211yescharacteristic
145#10622557C2211yescharacteristic
146#10622557C2211yescharacteristic
147#10622557C2211yescharacteristic
148#10622557C2211yescharacteristic
149#10622557C2211yescharacteristic
150#10622557C2211yescharacteristic, complemented
151#10622557C2211yescharacteristic, complemented
152#10622553C2211yescharacteristic, complemented
153#10622552C2211yescharacteristic, complemented
154C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
155C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
156C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
157#10622546C2211yescharacteristic, complemented
158#10622546C2211yescharacteristic, complemented
159#10622546C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161C42×Dic11C2211yescharacteristic, complemented
162#10622542C2211yescharacteristic, complemented
163#10622289C2211yescharacteristic, complemented
164#10622287C2211yescharacteristic, complemented
165#10622286C2211yescharacteristic, complemented
166#10622286C2211yescharacteristic, complemented
167#10622283C2211yescharacteristic, complemented
168#10622283C2211yescharacteristic, complemented
169#10622283C2211yescharacteristic, complemented
170#10622282C2211yescharacteristic, complemented
171#10622282C2211yescharacteristic, complemented
172#10622282C2211yescharacteristic, complemented
173#10622281C2211yescharacteristic, complemented
174#10622281C2211yescharacteristic, complemented
175C11⋊#401C2211yescharacteristic, complemented
176#10622274C2211yescharacteristic, complemented
177#10622274C2211yescharacteristic, complemented
178#10622273C2211yescharacteristic, complemented
179#10622265C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622260C2211yescharacteristic, complemented
183#10622259C2211yescharacteristic, complemented
184#10622259C2211yescharacteristic, complemented
185#10622259C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×D44C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×Dic22C2311yescharacteristic
206C22×Dic22C2311yescharacteristic
207C22×Dic22C2311yescharacteristic
208C11×#120—24no—
209C4×D4×C11—42no—
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4—42no—
214C2×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C11×C22⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233#67006—42no—
234#67006—42no—
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
259#66989—42no—
260#66989—42no—
261#66982—42no—
262C4×C22⋊D11—42no—
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
265C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
283C2×C4⋊Dic11C2311yescharacteristic
284C2×C4⋊Dic11C2311yescharacteristic
285C2×C4⋊Dic11C2311yescharacteristic
286C2×C4⋊Dic11C2311yescharacteristic
287C2×C4⋊Dic11C2311yescharacteristic
288C2×C4⋊Dic11C2311yescharacteristic
289#66977—42no—
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314#66943—42no—
315#66942—42no—
316#66938—24no—
317#66938—24no—
318#66938—42no—
319#66938—42no—
320#66937—42no—
321#66937—42no—
322#66936—42no—
323#66936—42no—
324C4×Dic22—42no—
325C11×#95C2311yescharacteristic
326C11×#95C2311yescharacteristic
327C11×#95C2311yescharacteristic
328C11×#95C2311yescharacteristic
329C11×#95C2311yescharacteristic
330C11×#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#37038—111nomaximal, Sylow
364C24×C11—22no—
365C24×C11—41no—
366C24×C11—41no—
367C24×C11—41no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11—41no—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C23×D11C2411yescharacteristic
377C2×D4×C11—22no—
378C2×D4×C11—22no—
379C2×D4×C11—22no—
380C2×D4×C11—41no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C2×D4×C11—41no—
386C22×C4×C11—22no—
387C22×C4×C11—41no—
388C22×C4×C11—41no—
389C22×C4×C11—41no—
390C22×C4×C11—41no—
391C22×C4×C11—41no—
392C22×C4×C11—41no—
393C22×C4×C11—41no—
394C22×C4×C11—41no—
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—41no—
411C2×C22⋊D11—41no—
412C2×C22⋊D11—41no—
413C2×C22⋊D11—41no—
414C2×C22⋊D11—41no—
415C2×C22⋊D11—41no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C2×C22⋊D11—41no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C2×D44—41no—
445C2×D44—41no—
446C2×D44—41no—
447C2×C4×D11—22no—
448C2×C4×D11—41no—
449C2×C4×D11—41no—
450C2×C4×D11—41no—
451C2×C4×D11—41no—
452C2×C4×D11—41no—
453C2×Dic22—22no—
454C2×Dic22—22no—
455C2×Dic22—22no—
456C2×Dic22—22no—
457C2×Dic22—41no—
458C2×Dic22—41no—
459C2×Dic22—41no—
460C2×Dic22—41no—
461C2×Dic22—41no—
462C11×C4⋊C4—22no—
463C11×C4⋊C4—41no—
464C11×C4⋊C4—41no—
465C11×C22⋊C4—22no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—41no—
471C11×C22⋊C4—41no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C11×C22⋊C4—41no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4#4114yes—
481C42×C11—41no—
482C42×C11—41no—
483C42×C11—41no—
484C22⋊Dic11—22no—
485C22⋊Dic11—22no—
486C22⋊Dic11—22no—
487C22⋊Dic11—22no—
488C22⋊Dic11—22no—
489C22⋊Dic11—22no—
490C22⋊Dic11—22no—
491C22⋊Dic11—22no—
492C22⋊Dic11—41no—
493C22⋊Dic11—41no—
494C22⋊Dic11—41no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508(C2×D11)⋊C4—22no—
509(C2×D11)⋊C4—22no—
510(C2×D11)⋊C4—22no—
511(C2×D11)⋊C4—22no—
512(C2×D11)⋊C4—22no—
513(C2×D11)⋊C4—22no—
514(C2×D11)⋊C4—22no—
515(C2×D11)⋊C4—41no—
516(C2×D11)⋊C4—41no—
517(C2×D11)⋊C4—41no—
518(C2×D11)⋊C4—41no—
519(C2×D11)⋊C4—41no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525(C2×D11)⋊C4—41no—
526C4⋊Dic11—41no—
527C4⋊Dic11—41no—
528C4⋊Dic11—41no—
529C4⋊Dic11—41no—
530C4⋊Dic11—41no—
531C4⋊Dic11—41no—
532C4⋊Dic11—41no—
533C4⋊Dic11—41no—
534Dic11⋊C4—22no—
535Dic11⋊C4—22no—
536Dic11⋊C4—22no—
537Dic11⋊C4—22no—
538Dic11⋊C4—22no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548C4×Dic11—22no—
549C4×Dic11—22no—
550C4×Dic11—22no—
551C4×Dic11—22no—
552C4×Dic11—22no—
553C4×Dic11—41no—
554C4×Dic11—41no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558#2861—111no—
559#2861—111no—
560#2803—111no—
561#2778—111no—
562#2759—111no—
563#2756—111no—
564#2754—111no—
565#2735—111no—
566#2730—111no—
567#2712—111no—
568#2712—111no—
569#2711—111no—
570#2710—111no—
571#2706—111no—
572#2704—111no—
573#2678—111no—
574#2670—111no—
575#2670—111no—
576#2661—111no—
577#2653—111no—
578#2558—111no—
579#2555—111no—
580#2472—111no—
581#2460—111no—
582#2458—111no—
583#2456—111no—
584#2448—111no—
585#2418—111no—
586#2337—111no—
587#2321D1111yescharacteristic, complemented
588C4×#124—111no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—44no—
617C23×C11—82no—
618C23×C11—82no—
619C23×C11—82no—
620C23×C11—82no—
621C23×C11—82no—
622C23×C11—82no—
623C23×C11C2×#4112yes—
624C23×C11C2511yescharacteristic
625C22×D11—21no—
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639D4×C11—44no—
640D4×C11—82no—
641D4×C11—82no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
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—82no—
673C2×C4×C11—82no—
674C2×C4×C11—82no—
675C2×C4×C11C2×#4112yes—
676C2×C4×C11C2×#4112yes—
677C2×C4×C11H(5,𝔽2)12yes—
678C22⋊D11—44no—
679C22⋊D11—82no—
680C22⋊D11—82no—
681C22⋊D11—82no—
682C22⋊D11—82no—
683C22⋊D11—82no—
684C22⋊D11—82no—
685C22⋊D11—82no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
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×Dic11H(5,𝔽2)12yes—
727C2×Dic11H(5,𝔽2)12yes—
728D44—82no—
729C4×D11—82no—
730C4×D11—82no—
731Dic22—44no—
732Dic22—82no—
733Dic22—82no—
734C2×#125—111no—
735C2×#125—111no—
736C2×#124—111no—
737C2×#124—111no—
738C2×#124—111no—
739C2×#124—111no—
740C2×#124—111no—
741C2×#124—111no—
742C2×#123—111no—
743C2×#123—111no—
744C2×#123—111no—
745C2×C22⋊Q8—111no—
746C2×#121—111no—
747C2×#121—111no—
748C2×#120—111no—
749C2×#120—111no—
750C2×#120C2×D1111yescharacteristic
751C2×C4×Q8—111no—
752C2×C4×D4—111no—
753C2×C4×D4C2×D1111yescharacteristic
754C22×C22⋊C4C2×D1111yescharacteristic
755#401—111no—
756#400—111no—
757#399—111no—
758#399—111no—
759#399—111no—
760#398—111no—
761#398—111no—
762#398—111no—
763#397—111no—
764#397—111no—
765#397—111no—
766#397—111no—
767#397—111no—
768#397—111no—
769#397—111no—
770#397—111no—
771#396—111no—
772#396—111no—
773#396—111no—
774#396—111no—
775#395—111no—
776#394—111no—
777#394—111no—
778#394—111no—
779#394—111no—
780#394—111no—
781#394—111no—
782#394—111no—
783#394—111no—
784#394—111no—
785#394—111no—
786#394—111no—
787#394—111no—
788#394—111no—
789#394—111no—
790#393—111no—
791#393—111no—
792#393—111no—
793#393—111no—
794#393—111no—
795#392—111no—
796#392—111no—
797#392—111no—
798#392—111no—
799#392—111no—
800#392—111no—
801#392—111no—
802#392—111no—
803#391—111no—
804#391—111no—
805#391—111no—
806#391—111no—
807#391—111no—
808#391—111no—
809#391—111no—
810#390—111no—
811#390—111no—
812#390—111no—
813#390—111no—
814#390—111no—
815#390—111no—
816#390—111no—
817#390—111no—
818#390C2×D1111yescharacteristic
819#390C2×D1111yescharacteristic
820#389—111no—
821#389—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388—111no—
838#388—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388—111no—
843#388—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388—111no—
850#388C2×D1111yescharacteristic
851#388C2×D1111yescharacteristic
852#388C2×D1111yescharacteristic
853#388C2×D1111yescharacteristic
854#387—111no—
855#387—111no—
856#387—111no—
857#387—111no—
858#387—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#386—111no—
864#386—111no—
865#386—111no—
866#386C2×D1111yescharacteristic
867#386C2×D1111yescharacteristic
868#386C2×D1111yescharacteristic
869#385—111no—
870#385—111no—
871#385—111no—
872#385—111no—
873#385—111no—
874#385C2×D1111yescharacteristic
875#383—111no—
876#382—111no—
877#380—111no—
878#380—111no—
879#379—111no—
880#379—111no—
881#379C2×D1111yescharacteristic
882C4×C4⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4C2×D1111yescharacteristic
888C43—111no—
889C22×C11—22no—
890C22×C11—22no—
891C22×C11—22no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—88no—
918C22×C11C22×#4111yescharacteristic
919C22×C11C2×H(5,𝔽2)11yescharacteristic
920C22×C11C2×H(5,𝔽2)11yescharacteristic
921C22×C11C2×H(5,𝔽2)11yescharacteristic
922C22×C11#58511yescharacteristic
923C22×C11#58511yescharacteristic
924C22×C11#58511yescharacteristic
925C2×D11—41no—
926C2×D11—41no—
927C2×D11—41no—
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C2×D11—41no—
936C2×D11—41no—
937C2×D11—41no—
938C2×D11—41no—
939C4×C11—22no—
940C4×C11—22no—
941C4×C11—22no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946C4×C11—41no—
947C4×C11—41no—
948C4×C11—41no—
949C4×C11—41no—
950Dic11—22no—
951Dic11—22no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964C25C22×D1111yescharacteristic
965C22×Q8—111no—
966C22×Q8—111no—
967C22×Q8—111no—
968C22×D4—111no—
969C22×D4—111no—
970C22×D4—111no—
971C22×D4—111no—
972C22×D4—111no—
973C22×D4—111no—
974C22×D4—111no—
975C22×D4—111no—
976C22×D4—111no—
977C22×D4C22×D1111yescharacteristic
978C22×D4C22×D1111yescharacteristic
979C22×D4C22×D1111yescharacteristic
980C23×C4—111no—
981C23×C4—111no—
982C23×C4C22×D1111yescharacteristic
983C23×C4C22×D1111yescharacteristic
984C23×C4C22×D1111yescharacteristic
985#125—442no—
986#125—442no—
987#124—224no—
988#124—224no—
989#124—442no—
990#124—442no—
991#124—442no—
992#124—442no—
993#123—442no—
994#123—442no—
995#123—442no—
996C22⋊Q8—442no—
997#121—442no—
998#121—442no—
999#120—24no—
1000#120—442no—
1001#120—442no—
1002C4×Q8—442no—
1003C4×D4—42no—
1004C4×D4—442no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4C22×D1111yescharacteristic
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4—42no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1074C2×C22⋊C4C22×D1111yescharacteristic
1075C2×C22⋊C4C22×D1111yescharacteristic
1076C2×C22⋊C4C22×D1111yescharacteristic
1077C2×C22⋊C4C22×D1111yescharacteristic
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—111no—
1096C2×C42—111no—
1097C2×C42—111no—
1098C2×C42—111no—
1099C2×C42C22×D1111yescharacteristic
1100C2×C42C22×D1111yescharacteristic
1101C2×C42C22×D1111yescharacteristic
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95C22×D1111yescharacteristic
1135#95C22×D1111yescharacteristic
1136#95C22×D1111yescharacteristic
1137#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140C2×C11—42no—
1141C2×C11—81no—
1142C2×C11—81no—
1143C2×C11—81no—
1144C2×C11#346011yescharacteristic
1145C2×C11#351311yescharacteristic
1146C2×C11#351411yescharacteristic
1147C2×C11#354611yescharacteristic
1148C2×C11#355811yescharacteristic
1149C2×C11#355811yescharacteristic
1150C2×C11#356611yescharacteristic
1151D11—81no—
1152D11—81no—
1153C24—22no—
1154C24—41no—
1155C24—41no—
1156C24—41no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—111no—
1161C24—111no—
1162C24C23×D1111yescharacteristic
1163C24C23×D1111yescharacteristic
1164C24C23×D1111yescharacteristic
1165C24C23×D1111yescharacteristic
1166C2×Q8—222no—
1167C2×Q8—222no—
1168C2×Q8—222no—
1169C2×Q8—222no—
1170C2×Q8—441no—
1171C2×Q8—441no—
1172C2×Q8—441no—
1173C2×Q8—441no—
1174C2×Q8—441no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—222no—
1185C2×D4—222no—
1186C2×D4—222no—
1187C2×D4—222no—
1188C2×D4—441no—
1189C2×D4—441no—
1190C2×D4—441no—
1191C2×D4—441no—
1192C2×D4—441no—
1193C2×D4—441no—
1194C2×D4—441no—
1195C2×D4—441no—
1196C2×D4—441no—
1197C2×D4—441no—
1198C2×D4—441no—
1199C2×D4—441no—
1200C2×D4—441no—
1201C2×D4—441no—
1202C2×D4—441no—
1203C2×D4—441no—
1204C2×D4—441no—
1205C2×D4—441no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C22×C4—22no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—111no—
1228C22×C4—111no—
1229C22×C4—111no—
1230C22×C4—111no—
1231C22×C4—111no—
1232C22×C4—111no—
1233C22×C4—111no—
1234C22×C4—222no—
1235C22×C4—441no—
1236C22×C4—441no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4C23×D1111yescharacteristic
1241C22×C4C23×D1111yescharacteristic
1242C22×C4C23×D1111yescharacteristic
1243C22×C4C23×D1111yescharacteristic
1244C22×C4C23×D1111yescharacteristic
1245C22×C4C23×D1111yescharacteristic
1246C22×C4C23×D1111yescharacteristic
1247C22×C4C23×D1111yescharacteristic
1248C22×C4C23×D1111yescharacteristic
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C4⋊C4—22no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—222no—
1255C4⋊C4—222no—
1256C4⋊C4—222no—
1257C4⋊C4—222no—
1258C4⋊C4—222no—
1259C4⋊C4—441no—
1260C4⋊C4—441no—
1261C4⋊C4—441no—
1262C4⋊C4—441no—
1263C4⋊C4—441no—
1264C4⋊C4—441no—
1265C4⋊C4—441no—
1266C4⋊C4—441no—
1267C4⋊C4—441no—
1268C4⋊C4—441no—
1269C4⋊C4—441no—
1270C4⋊C4—441no—
1271C4⋊C4—441no—
1272C4⋊C4—441no—
1273C4⋊C4—441no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—222no—
1292C22⋊C4—222no—
1293C22⋊C4—222no—
1294C22⋊C4—222no—
1295C22⋊C4—222no—
1296C22⋊C4—222no—
1297C22⋊C4—222no—
1298C22⋊C4—222no—
1299C22⋊C4—222no—
1300C22⋊C4—222no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—441no—
1307C22⋊C4—441no—
1308C22⋊C4—441no—
1309C22⋊C4—441no—
1310C22⋊C4—441no—
1311C22⋊C4—441no—
1312C22⋊C4—441no—
1313C22⋊C4—441no—
1314C22⋊C4—441no—
1315C22⋊C4—441no—
1316C22⋊C4—441no—
1317C22⋊C4—441no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4#433914yes—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—222no—
1338C42—222no—
1339C42—222no—
1340C42—222no—
1341C42—222no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42—441no—
1346C42—441no—
1347C11#3703811yescharacteristic, complemented, Sylow
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—44no—
1376C23—82no—
1377C23—82no—
1378C23—82no—
1379C23—82no—
1380C23—82no—
1381C23—82no—
1382C23—221no—
1383C23—221no—
1384C23—221no—
1385C23—221no—
1386C23—221no—
1387C23—221no—
1388C23—221no—
1389C23—221no—
1390C23—221no—
1391C23—221no—
1392C23—221no—
1393C23—221no—
1394C23—221no—
1395C23—221no—
1396C23C2×#433912yes—
1397C23C24×D1111yescharacteristic
1398Q8—444no—
1399Q8—882no—
1400Q8—882no—
1401D4—44no—
1402D4—82no—
1403D4—82no—
1404D4—444no—
1405D4—882no—
1406D4—882no—
1407D4—882no—
1408D4—882no—
1409D4—882no—
1410D4—882no—
1411D4—882no—
1412D4—882no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—82no—
1444C2×C4—82no—
1445C2×C4—82no—
1446C2×C4—112no—
1447C2×C4—112no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—882no—
1489C2×C4—882no—
1490C2×C4C2×#433912yes—
1491C2×C4C2×#433912yes—
1492C2×C4#6703712yes—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—88no—
1522C22—441no—
1523C22—441no—
1524C22—441no—
1525C22—441no—
1526C22—441no—
1527C22—441no—
1528C22—441no—
1529C22—441no—
1530C22—441no—
1531C22—441no—
1532C22—441no—
1533C22—441no—
1534C22—441no—
1535C22—441no—
1536C22C22×#433911yescharacteristic
1537C22C2×#6703711yescharacteristic
1538C22#1062345311yescharacteristic
1539C22D11×H(5,𝔽2)11yescharacteristic
1540C22D11×H(5,𝔽2)11yescharacteristic
1541C22#1062345511yescharacteristic
1542C22#1062345511yescharacteristic
1543C4—22no—
1544C4—22no—
1545C4—22no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—222no—
1555C4—222no—
1556C4—441no—
1557C4—441no—
1558C4—441no—
1559C4—441no—
1560C4—441no—
1561C4—441no—
1562C4—441no—
1563C4—441no—
1564C4—441no—
1565C4—441no—
1566C4—441no—
1567C4—441no—
1568C2—42no—
1569C2—81no—
1570C2—81no—
1571C2—81no—
1572C2—881no—
1573C2—881no—
1574C2#1308203811yescharacteristic
1575C2#1308254411yescharacteristic
1576C2#1308256711yescharacteristic
1577C2#1308298111yescharacteristic
1578C2#1308312811yescharacteristic
1579C2#1308313411yescharacteristic
1580C2#1308328011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2321C2
hypercenter#2321D11
hypocenterC11#37038
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2321

Complements

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

NH ≅ G/Ntype
1. #13076987C2semidirect
2. #13076985C2semidirect
3. #13076549C2semidirect
4. #13076238C2semidirect
5. #13075981C2semidirect
6. #13075932C2semidirect
7. #13075906C2semidirect
8. #13075653C2semidirect
9. #13075616C2semidirect
10. #13075384C2semidirect
11. #13075383C2semidirect
12. #13075370C2semidirect
13. #13075358C2semidirect
14. #13075308C2semidirect
15. #13075278C2semidirect
16. #13074945C2semidirect
17. #13074838C2semidirect
18. #13074838C2semidirect
19. #13074746C2semidirect
20. #13074683C2semidirect
21. #13073732C2semidirect
22. #13073690C2semidirect
23. #13072736C2semidirect
24. #13072562C2semidirect
25. #13072540C2semidirect
26. #13072508C2semidirect
27. #13072415C2semidirect
28. #13072078C2semidirect
29. #13071424C2semidirect
30. C4×#66938C2semidirect
31. C11×#2321C2semidirect
39. C2×#66982C22semidirect
42. C2×#66943C22semidirect
43. C2×#66942C22semidirect
47. C2×#66938C22semidirect
49. C2×#66937C22semidirect
52. C2×C4×Dic22C22semidirect
80. #10622826C22semidirect
82. #10622825C22semidirect
84. #10622823C22semidirect
86. #10622604C22semidirect
87. #10622604C22semidirect
88. #10622603C22semidirect
89. #10622602C22semidirect
90. #10622598C22semidirect
91. #10622597C22semidirect
92. #10622594C22semidirect
93. #10622592C22semidirect
94. #10622587C22semidirect
95. #10622587C22semidirect
101. #10622574C22semidirect
107. #10622572C22semidirect
115. #10622569C22semidirect
122. #10622565C22semidirect
129. #10622564C22semidirect
130. #10622564C22semidirect
133. #10622562C22semidirect
143. #10622558C22semidirect
150. #10622557C22semidirect
151. #10622557C22semidirect
152. #10622553C22semidirect
153. #10622552C22semidirect
154. C4×(C2×D11)⋊C4C22semidirect
155. C4×(C2×D11)⋊C4C22semidirect
156. C4×(C2×D11)⋊C4C22semidirect
157. #10622546C22semidirect
158. #10622546C22semidirect
159. #10622546C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. C42×Dic11C22semidirect
162. #10622542C22semidirect
163. #10622289C22semidirect
164. #10622287C22semidirect
165. #10622286C22semidirect
166. #10622286C22semidirect
167. #10622283C22semidirect
168. #10622283C22semidirect
169. #10622283C22semidirect
170. #10622282C22semidirect
171. #10622282C22semidirect
172. #10622282C22semidirect
173. #10622281C22semidirect
174. #10622281C22semidirect
175. C11⋊#401C22semidirect
176. #10622274C22semidirect
177. #10622274C22semidirect
178. #10622273C22semidirect
179. #10622265C22semidirect
180. #10622264C22semidirect
181. #10622263C22semidirect
182. #10622260C22semidirect
183. #10622259C22semidirect
184. #10622259C22semidirect
185. #10622259C22semidirect
186. #10622259C22semidirect
587. #2321D11semidirect
1347. C11#37038semidirect

Maximal subgroups

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

subgroupindex
#130769872
#130769852
#130765492
#130762382
#130759812
#130759322
#130759062
#130756532
#130756162
#130753842
#130753832
#130753702
#130753582
#130753082
#130752782
#130749452
#130748382
#130747462
#130746832
#130737322
#130736902
#130727362
#130725622
#130725402
#130725082
#130724152
#130720782
#130714242
C4×#669382
C11×#23212
#3703811