Finite Group Databasebeta

← #14968668

Subgroups — #14968668

Order 2816.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1498 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076988C211yesmaximal, characteristic, complemented
2#13075911C211yesmaximal, characteristic, complemented
3#13075902C211yesmaximal, characteristic, complemented
4#13075881C211yesmaximal, characteristic, complemented
5#13075878C211yesmaximal, characteristic, complemented
6#13075613C211yesmaximal, characteristic, complemented
7#13075609C211yesmaximal, characteristic, complemented
8#13075514C211yesmaximal, characteristic, complemented
9#13075505C211yesmaximal, characteristic, complemented
10#13075137C211yesmaximal, characteristic, complemented
11#13075130C211yesmaximal, characteristic, complemented
12#13075035C211yesmaximal, characteristic, complemented
13#13075032C211yesmaximal, characteristic, complemented
14#13075005C211yesmaximal, characteristic, complemented
15#13075002C211yesmaximal, characteristic, complemented
16#13074997C211yesmaximal, characteristic, complemented
17#13074992C211yesmaximal, characteristic, complemented
18#13074647C211yesmaximal, characteristic, complemented
19#13074645C211yesmaximal, characteristic, complemented
20#13074279C211yesmaximal, characteristic, complemented
21#13073767C211yesmaximal, characteristic, complemented
22#13073765C211yesmaximal, characteristic, complemented
23#13073545C211yesmaximal, characteristic
24#13073387C211yesmaximal, characteristic, complemented
25#13073385C211yesmaximal, characteristic, complemented
26#13073076C211yesmaximal, characteristic, complemented
27#13072888C211yesmaximal, characteristic, complemented
28#13071379C211yesmaximal, characteristic, complemented
29#13071210C211yesmaximal, characteristic, complemented
30#13071113C211yesmaximal, characteristic, complemented
31C11×#2861C211yesmaximal, characteristic, complemented
32C2×C11×#125C2211yescharacteristic, complemented
33C2×C11×#124C2211yescharacteristic
34C2×#66999C2211yescharacteristic, complemented
35C2×#66990C2211yescharacteristic
36C2×#66951C2211yescharacteristic
37C2×#66947C2211yescharacteristic
38C2×#66937C2211yescharacteristic
39C2×#66936C2211yescharacteristic
40C2×#66935C2211yescharacteristic
41C2×C22⋊C4×D11C2211yescharacteristic
42C2×#66932C2211yescharacteristic
43C2×#66931C2211yescharacteristic, complemented
44C2×#66928C2211yescharacteristic
45C2×#66925C2211yescharacteristic
46C2×#66923C2211yescharacteristic, complemented
47C11×#391C2211yescharacteristic, complemented
48C11×#391C2211yescharacteristic, complemented
49C11×#390C2211yescharacteristic
50C11×#390C2211yescharacteristic
51C11×#388C2211yescharacteristic
52C11×#388C2211yescharacteristic
53C11×#388C2211yescharacteristic
54C11×#388C2211yescharacteristic
55C11×#388C2211yescharacteristic, complemented
56C11×#388C2211yescharacteristic, complemented
57C11×#388C2211yescharacteristic, complemented
58C11×#388C2211yescharacteristic, complemented
59C43×C11C2211yescharacteristic, complemented
60#10622844C2211yescharacteristic
61#10622844C2211yescharacteristic
62#10622843C2211yescharacteristic, complemented
63#10622836C2211yescharacteristic
64#10622835C2211yescharacteristic
65#10622833C2211yescharacteristic
66#10622607C2211yescharacteristic
67#10622607C2211yescharacteristic, complemented
68#10622606C2211yescharacteristic
69#10622606C2211yescharacteristic, complemented
70#10622605C2211yescharacteristic
71#10622605C2211yescharacteristic
72#10622605C2211yescharacteristic
73#10622605C2211yescharacteristic, complemented
74#10622604C2211yescharacteristic
75#10622603C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622601C2211yescharacteristic
78#10622600C2211yescharacteristic
79#10622596C2211yescharacteristic, complemented
80#10622594C2211yescharacteristic, complemented
81#10622594C2211yescharacteristic, complemented
82#10622593C2211yescharacteristic, complemented
83#10622593C2211yescharacteristic, complemented
84#10622591C2211yescharacteristic, complemented
85#10622589C2211yescharacteristic, complemented
86#10622586C2211yescharacteristic, complemented
87#10622585C2211yescharacteristic, complemented
88#10622574C2211yescharacteristic
89#10622574C2211yescharacteristic
90#10622574C2211yescharacteristic
91#10622573C2211yescharacteristic
92#10622572C2211yescharacteristic
93#10622572C2211yescharacteristic
94#10622572C2211yescharacteristic
95#10622572C2211yescharacteristic
96#10622572C2211yescharacteristic
97#10622571C2211yescharacteristic
98#10622571C2211yescharacteristic
99#10622571C2211yescharacteristic, complemented
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622570C2211yescharacteristic, complemented
104#10622570C2211yescharacteristic, complemented
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic, complemented
107#10622568C2211yescharacteristic
108#10622568C2211yescharacteristic
109#10622568C2211yescharacteristic
110#10622568C2211yescharacteristic
111#10622566C2211yescharacteristic, complemented
112#10622566C2211yescharacteristic, complemented
113#10622565C2211yescharacteristic
114#10622565C2211yescharacteristic
115#10622565C2211yescharacteristic
116#10622564C2211yescharacteristic
117#10622562C2211yescharacteristic
118#10622562C2211yescharacteristic
119#10622562C2211yescharacteristic, complemented
120#10622561C2211yescharacteristic
121#10622561C2211yescharacteristic, complemented
122#10622560C2211yescharacteristic
123#10622558C2211yescharacteristic
124#10622558C2211yescharacteristic
125#10622557C2211yescharacteristic
126#10622557C2211yescharacteristic
127#10622557C2211yescharacteristic, complemented
128#10622556C2211yescharacteristic, complemented
129C22⋊C4×Dic11C2211yescharacteristic, complemented
130#10622553C2211yescharacteristic
131#10622553C2211yescharacteristic
132#10622553C2211yescharacteristic
133#10622553C2211yescharacteristic
134#10622553C2211yescharacteristic
135#10622553C2211yescharacteristic
136#10622553C2211yescharacteristic
137#10622553C2211yescharacteristic
138#10622553C2211yescharacteristic, complemented
139#10622553C2211yescharacteristic, complemented
140#10622553C2211yescharacteristic, complemented
141#10622553C2211yescharacteristic, complemented
142#10622552C2211yescharacteristic
143#10622552C2211yescharacteristic
144C4×(C2×D11)⋊C4C2211yescharacteristic
145C4×(C2×D11)⋊C4C2211yescharacteristic
146#10622546C2211yescharacteristic, complemented
147#10622546C2211yescharacteristic, complemented
148#10622546C2211yescharacteristic, complemented
149#10622546C2211yescharacteristic, complemented
150#10622545C2211yescharacteristic, complemented
151C4×Dic11⋊C4C2211yescharacteristic, complemented
152C4×Dic11⋊C4C2211yescharacteristic, complemented
153#10622542C2211yescharacteristic, complemented
154#10622542C2211yescharacteristic, complemented
155#10622290C2211yescharacteristic
156#10622288C2211yescharacteristic
157#10622288C2211yescharacteristic
158#10622288C2211yescharacteristic, complemented
159#10622286C2211yescharacteristic
160#10622285C2211yescharacteristic
161#10622285C2211yescharacteristic
162#10622283C2211yescharacteristic
163#10622283C2211yescharacteristic
164#10622283C2211yescharacteristic
165#10622283C2211yescharacteristic, complemented
166#10622282C2211yescharacteristic
167#10622281C2211yescharacteristic
168#10622280C2211yescharacteristic
169#10622279C2211yescharacteristic
170#10622279C2211yescharacteristic, complemented
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622277C2211yescharacteristic
174#10622277C2211yescharacteristic, complemented
175#10622274C2211yescharacteristic, complemented
176#10622272C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622270C2211yescharacteristic, complemented
179#10622270C2211yescharacteristic, complemented
180#10622268C2211yescharacteristic, complemented
181#10622267C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622266C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622263C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C22×D44C2311yescharacteristic
196C22×D44C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×Dic22C2311yescharacteristic
201C11×#125—42no—
202C11×#124—42no—
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C4⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
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×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238#66999—42no—
239#66990—42no—
240C2×(C2×D11)⋊C4C2311yescharacteristic
241C2×(C2×D11)⋊C4C2311yescharacteristic
242C2×(C2×D11)⋊C4C2311yescharacteristic
243C2×(C2×D11)⋊C4C2311yescharacteristic
244C2×(C2×D11)⋊C4C2311yescharacteristic
245C2×(C2×D11)⋊C4C2311yescharacteristic
246C2×(C2×D11)⋊C4C2311yescharacteristic
247C2×(C2×D11)⋊C4C2311yescharacteristic
248C2×(C2×D11)⋊C4C2311yescharacteristic
249C2×(C2×D11)⋊C4C2311yescharacteristic
250C2×(C2×D11)⋊C4C2311yescharacteristic
251C2×(C2×D11)⋊C4C2311yescharacteristic
252C2×(C2×D11)⋊C4C2311yescharacteristic
253C2×(C2×D11)⋊C4C2311yescharacteristic
254C2×(C2×D11)⋊C4C2311yescharacteristic
255C2×(C2×D11)⋊C4C2311yescharacteristic
256C2×(C2×D11)⋊C4C2311yescharacteristic
257C2×(C2×D11)⋊C4C2311yescharacteristic
258C2×(C2×D11)⋊C4C2311yescharacteristic
259C2×(C2×D11)⋊C4C2311yescharacteristic
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
273C2×C4⋊Dic11C2311yescharacteristic
274C2×C4⋊Dic11C2311yescharacteristic
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×Dic11⋊C4C2311yescharacteristic
280C2×Dic11⋊C4C2311yescharacteristic
281C2×Dic11⋊C4C2311yescharacteristic
282C2×Dic11⋊C4C2311yescharacteristic
283C2×Dic11⋊C4C2311yescharacteristic
284C2×Dic11⋊C4C2311yescharacteristic
285C2×Dic11⋊C4C2311yescharacteristic
286C2×Dic11⋊C4C2311yescharacteristic
287C2×Dic11⋊C4C2311yescharacteristic
288C2×Dic11⋊C4C2311yescharacteristic
289C2×Dic11⋊C4C2311yescharacteristic
290C2×Dic11⋊C4C2311yescharacteristic
291C2×Dic11⋊C4C2311yescharacteristic
292C2×Dic11⋊C4C2311yescharacteristic
293C2×Dic11⋊C4C2311yescharacteristic
294C2×Dic11⋊C4C2311yescharacteristic
295C2×Dic11⋊C4C2311yescharacteristic
296C2×Dic11⋊C4C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304#66951—42no—
305#66947—42no—
306#66937—24no—
307#66936—42no—
308#66935—42no—
309C22⋊C4×D11—24no—
310#66932—42no—
311#66931—42no—
312#66928—42no—
313#66925—24no—
314#66923—42no—
315C11×#95C2311yescharacteristic
316C11×#95C2311yescharacteristic
317C11×#95C2311yescharacteristic
318C11×#95C2311yescharacteristic
319C11×#95C2311yescharacteristic
320C11×#95C2311yescharacteristic
321C11×#95C2311yescharacteristic
322C11×#95C2311yescharacteristic
323C11⋊#95C2311yescharacteristic
324C11⋊#95C2311yescharacteristic
325C11⋊#95C2311yescharacteristic
326C11⋊#95C2311yescharacteristic
327C11⋊#95C2311yescharacteristic
328C11⋊#95C2311yescharacteristic
329C11⋊#95C2311yescharacteristic
330C11⋊#95C2311yescharacteristic
331C11⋊#95C2311yescharacteristic
332C11⋊#95C2311yescharacteristic
333C11⋊#95C2311yescharacteristic
334C11⋊#95C2311yescharacteristic
335C11⋊#95C2311yescharacteristic
336C11⋊#95C2311yescharacteristic
337C11⋊#95C2311yescharacteristic
338C11⋊#95C2311yescharacteristic
339C11⋊#95C2311yescharacteristic
340C11⋊#95C2311yescharacteristic
341C11⋊#95C2311yescharacteristic
342C11⋊#95C2311yescharacteristic
343C11⋊#95C2311yescharacteristic
344C11⋊#95C2311yescharacteristic
345C11⋊#95C2311yescharacteristic
346C11⋊#95C2311yescharacteristic
347C11⋊#95C2311yescharacteristic
348C11⋊#95C2311yescharacteristic
349C11⋊#95C2311yescharacteristic
350C11⋊#95C2311yescharacteristic
351C11⋊#95C2311yescharacteristic
352C11⋊#95C2311yescharacteristic
353C11⋊#95C2311yescharacteristic
354C11⋊#95C2311yescharacteristic
355C11⋊#95C2311yescharacteristic
356C11⋊#95C2311yescharacteristic
357#37010—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C23×D11—22no—
361C23×D11—41no—
362C23×D11—41no—
363C23×D11—41no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11—41no—
367C23×D11C2411yescharacteristic
368C23×D11C2411yescharacteristic
369C23×D11C2411yescharacteristic
370C2×Q8×C11—22no—
371C2×Q8×C11—41no—
372C2×Q8×C11—41no—
373C2×D4×C11—22no—
374C2×D4×C11—41no—
375C2×D4×C11—41no—
376C22×C4×C11C2411yescharacteristic
377C22×C4×C11C2411yescharacteristic
378C22×C4×C11C2411yescharacteristic
379C22×C4×C11C2411yescharacteristic
380C22×C4×C11C2411yescharacteristic
381C22×C4×C11C2411yescharacteristic
382C22×C4×C11C2411yescharacteristic
383C22×C4×C11C2411yescharacteristic
384C22×C4×C11C2411yescharacteristic
385C22×C4×C11C2411yescharacteristic
386C22×C4×C11C2411yescharacteristic
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C2×C22⋊D11—22no—
390C2×C22⋊D11—22no—
391C2×C22⋊D11—41no—
392C2×C22⋊D11—41no—
393C2×C22⋊D11—41no—
394C2×C22⋊D11—41no—
395C2×C22⋊D11—41no—
396C2×C22⋊D11—41no—
397C2×C22⋊D11—41no—
398C2×C22⋊D11—41no—
399C2×C22⋊D11—41no—
400C2×C22⋊D11—41no—
401C22×Dic11—41no—
402C22×Dic11—41no—
403C22×Dic11—41no—
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C2×D44—22no—
418C2×D44—22no—
419C2×D44—41no—
420C2×D44—41no—
421C2×D44—41no—
422C2×D44—41no—
423C2×C4×D11—22no—
424C2×C4×D11—41no—
425C2×C4×D11—41no—
426C2×C4×D11—41no—
427C2×C4×D11—41no—
428C2×C4×D11—41no—
429C2×C4×D11—41no—
430C2×C4×D11—41no—
431C2×C4×D11#4114yes—
432C2×Dic22—22no—
433C2×Dic22—41no—
434C2×Dic22—41no—
435C11×C4⋊C4—22no—
436C11×C4⋊C4—22no—
437C11×C4⋊C4—41no—
438C11×C4⋊C4—41no—
439C11×C4⋊C4—41no—
440C11×C4⋊C4—41no—
441C11×C22⋊C4—22no—
442C11×C22⋊C4—22no—
443C11×C22⋊C4—22no—
444C11×C22⋊C4—22no—
445C11×C22⋊C4—41no—
446C11×C22⋊C4—41no—
447C11×C22⋊C4—41no—
448C11×C22⋊C4—41no—
449C11×C22⋊C4—41no—
450C11×C22⋊C4—41no—
451C11×C22⋊C4—41no—
452C11×C22⋊C4—41no—
453C42×C11—22no—
454C42×C11—22no—
455C42×C11—22no—
456C42×C11—41no—
457C42×C11—41no—
458C42×C11—41no—
459C42×C11—41no—
460C22⋊Dic11—22no—
461C22⋊Dic11—41no—
462C22⋊Dic11—41no—
463C22⋊Dic11—41no—
464C22⋊Dic11—41no—
465C22⋊Dic11—41no—
466C22⋊Dic11—41no—
467C22⋊Dic11—41no—
468C22⋊Dic11—41no—
469C22⋊Dic11—41no—
470(C2×D11)⋊C4—22no—
471(C2×D11)⋊C4—22no—
472(C2×D11)⋊C4—22no—
473(C2×D11)⋊C4—22no—
474(C2×D11)⋊C4—22no—
475(C2×D11)⋊C4—22no—
476(C2×D11)⋊C4—22no—
477(C2×D11)⋊C4—22no—
478(C2×D11)⋊C4—22no—
479(C2×D11)⋊C4—41no—
480(C2×D11)⋊C4—41no—
481(C2×D11)⋊C4—41no—
482(C2×D11)⋊C4—41no—
483(C2×D11)⋊C4—41no—
484(C2×D11)⋊C4—41no—
485(C2×D11)⋊C4—41no—
486(C2×D11)⋊C4—41no—
487(C2×D11)⋊C4—41no—
488(C2×D11)⋊C4—41no—
489(C2×D11)⋊C4—41no—
490(C2×D11)⋊C4—41no—
491(C2×D11)⋊C4—41no—
492(C2×D11)⋊C4—41no—
493(C2×D11)⋊C4—41no—
494(C2×D11)⋊C4—41no—
495(C2×D11)⋊C4—41no—
496(C2×D11)⋊C4—41no—
497(C2×D11)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4—41no—
501(C2×D11)⋊C4—41no—
502C4⋊Dic11—22no—
503C4⋊Dic11—22no—
504C4⋊Dic11—41no—
505C4⋊Dic11—41no—
506C4⋊Dic11—41no—
507C4⋊Dic11—41no—
508C4⋊Dic11—41no—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—22no—
512Dic11⋊C4—22no—
513Dic11⋊C4—22no—
514Dic11⋊C4—41no—
515Dic11⋊C4—41no—
516Dic11⋊C4—41no—
517Dic11⋊C4—41no—
518Dic11⋊C4—41no—
519Dic11⋊C4—41no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525Dic11⋊C4—41no—
526Dic11⋊C4—41no—
527C4×Dic11—22no—
528C4×Dic11—41no—
529C4×Dic11—41no—
530C4×Dic11—41no—
531C4×Dic11—41no—
532C4×Dic11—41no—
533C4×Dic11—41no—
534#2861—111no—
535#2861D1111yescharacteristic, complemented
536#2754—111no—
537#2754—111no—
538#2752—111no—
539#2752—111no—
540#2730—111no—
541#2730—111no—
542#2721—111no—
543#2721—111no—
544#2694—111no—
545#2694—111no—
546#2687—111no—
547#2687—111no—
548#2685—111no—
549#2685—111no—
550#2684—111no—
551#2684—111no—
552#2651—111no—
553#2651—111no—
554#2607—111no—
555#2560—111no—
556#2560—111no—
557#2539—111no—
558#2526—111no—
559#2526—111no—
560#2500—111no—
561#2482—111no—
562#2333—111no—
563#2312—111no—
564#2298—111no—
565C23×C11—21no—
566C23×C11—21no—
567C23×C11—21no—
568C23×C11—21no—
569C23×C11—21no—
570C23×C11—21no—
571C23×C11—21no—
572C23×C11—21no—
573C23×C11—21no—
574C23×C11—21no—
575C23×C11—21no—
576C23×C11—21no—
577C23×C11—21no—
578C23×C11—21no—
579C23×C11C2511yescharacteristic
580C22×D11—21no—
581C22×D11—21no—
582C22×D11—21no—
583C22×D11—21no—
584C22×D11—21no—
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—21no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—21no—
597C22×D11—21no—
598C22×D11—21no—
599C22×D11—21no—
600C22×D11—44no—
601C22×D11—82no—
602C22×D11—82no—
603C22×D11—82no—
604C22×D11—82no—
605C22×D11—82no—
606C22×D11—82no—
607C22×D11C2×#4112yes—
608Q8×C11—82no—
609D4×C11—82no—
610C2×C4×C11—21no—
611C2×C4×C11—21no—
612C2×C4×C11—21no—
613C2×C4×C11—21no—
614C2×C4×C11—21no—
615C2×C4×C11—21no—
616C2×C4×C11—21no—
617C2×C4×C11—21no—
618C2×C4×C11—21no—
619C2×C4×C11—21no—
620C2×C4×C11—21no—
621C2×C4×C11—21no—
622C2×C4×C11—21no—
623C2×C4×C11—21no—
624C2×C4×C11—21no—
625C2×C4×C11—21no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—21no—
629C2×C4×C11—21no—
630C2×C4×C11—21no—
631C2×C4×C11—21no—
632C2×C4×C11—21no—
633C2×C4×C11—21no—
634C2×C4×C11—21no—
635C2×C4×C11—21no—
636C2×C4×C11—21no—
637C2×C4×C11—21no—
638C2×C4×C11—21no—
639C2×C4×C11—21no—
640C2×C4×C11—21no—
641C2×C4×C11—21no—
642C2×C4×C11—21no—
643C2×C4×C11—21no—
644C2×C4×C11—21no—
645C2×C4×C11—21no—
646C2×C4×C11C2×#4112yes—
647C2×C4×C11H(5,𝔽2)12yes—
648C2×C4×C11H(5,𝔽2)12yes—
649C22⋊D11—82no—
650C22⋊D11—82no—
651C22⋊D11—82no—
652C22⋊D11—82no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—21no—
657C2×Dic11—21no—
658C2×Dic11—21no—
659C2×Dic11—21no—
660C2×Dic11—21no—
661C2×Dic11—21no—
662C2×Dic11—21no—
663C2×Dic11—21no—
664C2×Dic11—21no—
665C2×Dic11—21no—
666C2×Dic11—21no—
667C2×Dic11—21no—
668C2×Dic11—21no—
669C2×Dic11—21no—
670C2×Dic11—21no—
671C2×Dic11—21no—
672C2×Dic11—21no—
673C2×Dic11—21no—
674C2×Dic11—21no—
675C2×Dic11—21no—
676C2×Dic11—21no—
677C2×Dic11—21no—
678C2×Dic11—21no—
679C2×Dic11—21no—
680C2×Dic11—21no—
681C2×Dic11—21no—
682C2×Dic11—21no—
683C2×Dic11—21no—
684C2×Dic11—21no—
685C2×Dic11—21no—
686C2×Dic11—21no—
687C2×Dic11—21no—
688C2×Dic11—21no—
689C2×Dic11—21no—
690C2×Dic11—21no—
691C2×Dic11—82no—
692C2×Dic11C2×#4112yes—
693D44—82no—
694D44—82no—
695C4×D11—44no—
696C4×D11—82no—
697C4×D11—82no—
698Dic22—82no—
699C2×#126—111no—
700C2×#126—111no—
701C2×#125—111no—
702C2×#125C2×D1111yescharacteristic, complemented
703C2×#124—111no—
704C2×#124C2×D1111yescharacteristic
705C2×#123—111no—
706C2×#123—111no—
707C2×C22⋊Q8—111no—
708C2×C22⋊Q8—111no—
709C2×#121—111no—
710C2×#120—111no—
711C2×#120—111no—
712C2×#117—111no—
713C22×C22⋊C4—111no—
714#400—111no—
715#400—111no—
716#399—111no—
717#399—111no—
718#399—111no—
719#399—111no—
720#399—111no—
721#399—111no—
722#399—111no—
723#399—111no—
724#398—111no—
725#398—111no—
726#398—111no—
727#398—111no—
728#398—111no—
729#398—111no—
730#397—111no—
731#397—111no—
732#397—111no—
733#397—111no—
734#397—111no—
735#397—111no—
736#397—111no—
737#397—111no—
738#397—111no—
739#397—111no—
740#396—111no—
741#396—111no—
742#396—111no—
743#396—111no—
744#394—111no—
745#394—111no—
746#394—111no—
747#394—111no—
748#394—111no—
749#394—111no—
750#394—111no—
751#394—111no—
752#394—111no—
753#394—111no—
754#394—111no—
755#394—111no—
756#393—111no—
757#393—111no—
758#393—111no—
759#393—111no—
760#392—111no—
761#392—111no—
762#391—111no—
763#391—111no—
764#391—111no—
765#391—111no—
766#391C2×D1111yescharacteristic, complemented
767#391C2×D1111yescharacteristic, complemented
768#390—111no—
769#390—111no—
770#390—111no—
771#390—111no—
772#390—111no—
773#390—111no—
774#390—111no—
775#390—111no—
776#390C2×D1111yescharacteristic
777#390C2×D1111yescharacteristic
778#389—111no—
779#389—111no—
780#388—111no—
781#388—111no—
782#388—111no—
783#388—111no—
784#388—111no—
785#388—111no—
786#388—111no—
787#388—111no—
788#388—111no—
789#388—111no—
790#388—111no—
791#388—111no—
792#388—111no—
793#388—111no—
794#388—111no—
795#388—111no—
796#388—111no—
797#388—111no—
798#388—111no—
799#388—111no—
800#388—111no—
801#388—111no—
802#388—111no—
803#388—111no—
804#388C2×D1111yescharacteristic
805#388C2×D1111yescharacteristic
806#388C2×D1111yescharacteristic
807#388C2×D1111yescharacteristic
808#388C2×D1111yescharacteristic, complemented
809#388C2×D1111yescharacteristic, complemented
810#388C2×D1111yescharacteristic, complemented
811#388C2×D1111yescharacteristic, complemented
812#387—111no—
813#387—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#385—111no—
833#385—111no—
834#384—111no—
835#382—111no—
836#381—111no—
837#381—111no—
838#381—111no—
839#380—111no—
840#380—111no—
841#379—111no—
842#379—111no—
843#379—111no—
844#379—111no—
845C4×C4⋊C4—111no—
846C4×C4⋊C4—111no—
847C4×C22⋊C4—111no—
848C4×C22⋊C4—111no—
849C4×C22⋊C4—111no—
850C4×C22⋊C4—111no—
851C4×C22⋊C4—111no—
852#376—111no—
853C43C2×D1111yescharacteristic, complemented
854C22×C11—41no—
855C22×C11—41no—
856C22×C11—41no—
857C22×C11—41no—
858C22×C11—41no—
859C22×C11—41no—
860C22×C11—41no—
861C22×C11—41no—
862C22×C11—41no—
863C22×C11—41no—
864C22×C11—41no—
865C22×C11—41no—
866C22×C11—41no—
867C22×C11—41no—
868C22×C11C22×#4111yescharacteristic
869C22×C11C2×H(5,𝔽2)11yescharacteristic
870C22×C11C2×H(5,𝔽2)11yescharacteristic
871C22×C11#58511yescharacteristic
872C22×C11#58511yescharacteristic
873C22×C11#58511yescharacteristic
874C22×C11#58511yescharacteristic
875C2×D11—22no—
876C2×D11—22no—
877C2×D11—22no—
878C2×D11—41no—
879C2×D11—41no—
880C2×D11—41no—
881C2×D11—41no—
882C2×D11—41no—
883C2×D11—41no—
884C2×D11—41no—
885C2×D11—41no—
886C2×D11—41no—
887C2×D11—41no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11—41no—
893C2×D11—41no—
894C2×D11—41no—
895C2×D11—41no—
896C2×D11—88no—
897C4×C11—22no—
898C4×C11—22no—
899C4×C11—22no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11—41no—
906C4×C11—41no—
907C4×C11—41no—
908C4×C11—41no—
909C4×C11—41no—
910Dic11—22no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920Dic11—41no—
921Dic11—41no—
922Dic11—41no—
923C25—111no—
924C22×Q8—111no—
925C22×Q8C22×D1111yescharacteristic
926C22×D4—111no—
927C22×D4—111no—
928C22×D4—111no—
929C22×D4—111no—
930C22×D4—111no—
931C22×D4—111no—
932C22×D4C22×D1111yescharacteristic
933C23×C4—111no—
934C23×C4—111no—
935C23×C4—111no—
936C23×C4—111no—
937#126—442no—
938#126—442no—
939#125—42no—
940#125—442no—
941#124—42no—
942#124—442no—
943#123—442no—
944#123—442no—
945C22⋊Q8—442no—
946C22⋊Q8—442no—
947#121—224no—
948#120—442no—
949#120—442no—
950#117—224no—
951C2×C4⋊C4—111no—
952C2×C4⋊C4—111no—
953C2×C4⋊C4—111no—
954C2×C4⋊C4—111no—
955C2×C4⋊C4—111no—
956C2×C4⋊C4—111no—
957C2×C4⋊C4—111no—
958C2×C4⋊C4—111no—
959C2×C4⋊C4—111no—
960C2×C4⋊C4—111no—
961C2×C4⋊C4—111no—
962C2×C4⋊C4—111no—
963C2×C4⋊C4—111no—
964C2×C4⋊C4—111no—
965C2×C4⋊C4—111no—
966C2×C4⋊C4—111no—
967C2×C4⋊C4—111no—
968C2×C4⋊C4—111no—
969C2×C4⋊C4—111no—
970C2×C4⋊C4—111no—
971C2×C4⋊C4—111no—
972C2×C4⋊C4—111no—
973C2×C4⋊C4—111no—
974C2×C4⋊C4—111no—
975C2×C4⋊C4—111no—
976C2×C4⋊C4C22×D1111yescharacteristic
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C4⋊C4C22×D1111yescharacteristic
982C2×C22⋊C4—111no—
983C2×C22⋊C4—111no—
984C2×C22⋊C4—111no—
985C2×C22⋊C4—111no—
986C2×C22⋊C4—111no—
987C2×C22⋊C4—111no—
988C2×C22⋊C4—111no—
989C2×C22⋊C4—111no—
990C2×C22⋊C4—111no—
991C2×C22⋊C4—111no—
992C2×C22⋊C4—111no—
993C2×C22⋊C4—111no—
994C2×C22⋊C4—111no—
995C2×C22⋊C4—111no—
996C2×C22⋊C4—111no—
997C2×C22⋊C4—111no—
998C2×C22⋊C4—111no—
999C2×C22⋊C4—111no—
1000C2×C22⋊C4—111no—
1001C2×C22⋊C4—111no—
1002C2×C22⋊C4—111no—
1003C2×C22⋊C4—111no—
1004C2×C22⋊C4—111no—
1005C2×C22⋊C4—111no—
1006C2×C22⋊C4—111no—
1007C2×C22⋊C4—111no—
1008C2×C22⋊C4—111no—
1009C2×C22⋊C4—111no—
1010C2×C22⋊C4—111no—
1011C2×C22⋊C4—111no—
1012C2×C22⋊C4—111no—
1013C2×C22⋊C4—111no—
1014C2×C22⋊C4—111no—
1015C2×C22⋊C4—111no—
1016C2×C22⋊C4—111no—
1017C2×C22⋊C4—111no—
1018C2×C22⋊C4—111no—
1019C2×C22⋊C4—111no—
1020C2×C22⋊C4—111no—
1021C2×C22⋊C4—111no—
1022C2×C22⋊C4—111no—
1023C2×C22⋊C4—111no—
1024C2×C22⋊C4—224no—
1025C2×C22⋊C4C22×D1111yescharacteristic
1026C2×C22⋊C4C22×D1111yescharacteristic
1027C2×C22⋊C4C22×D1111yescharacteristic
1028C2×C22⋊C4C22×D1111yescharacteristic
1029C2×C22⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4C22×D1111yescharacteristic
1031C2×C22⋊C4C22×D1111yescharacteristic
1032C2×C22⋊C4C22×D1111yescharacteristic
1033C2×C22⋊C4C22×D1111yescharacteristic
1034C2×C22⋊C4C22×D1111yescharacteristic
1035C2×C22⋊C4C22×D1111yescharacteristic
1036C2×C22⋊C4C22×D1111yescharacteristic
1037C2×C42—111no—
1038C2×C42—111no—
1039C2×C42—111no—
1040C2×C42—111no—
1041C2×C42—111no—
1042C2×C42—111no—
1043C2×C42—111no—
1044C2×C42C22×D1111yescharacteristic
1045C2×C42C22×D1111yescharacteristic
1046C2×C42C22×D1111yescharacteristic
1047C2×C42C22×D1111yescharacteristic
1048C2×C42C22×D1111yescharacteristic
1049C2×C42C22×D1111yescharacteristic
1050C2×C42C22×D1111yescharacteristic
1051#95—111no—
1052#95—111no—
1053#95—111no—
1054#95—111no—
1055#95—111no—
1056#95—111no—
1057#95—111no—
1058#95—111no—
1059#95—111no—
1060#95—111no—
1061#95—111no—
1062#95—111no—
1063#95—111no—
1064#95—111no—
1065#95—111no—
1066#95—111no—
1067#95—111no—
1068#95—111no—
1069#95—111no—
1070#95—111no—
1071#95—111no—
1072#95—111no—
1073#95—111no—
1074#95—111no—
1075#95—111no—
1076#95—111no—
1077#95—111no—
1078#95—111no—
1079#95—111no—
1080#95—111no—
1081#95—111no—
1082#95—111no—
1083#95—111no—
1084#95—111no—
1085#95C22×D1111yescharacteristic
1086#95C22×D1111yescharacteristic
1087#95C22×D1111yescharacteristic
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093C2×C11—81no—
1094C2×C11—81no—
1095C2×C11#345511yescharacteristic
1096C2×C11#349111yescharacteristic
1097C2×C11#350811yescharacteristic
1098C2×C11#354511yescharacteristic
1099C2×C11#354511yescharacteristic
1100C2×C11#356211yescharacteristic
1101C2×C11#356211yescharacteristic
1102D11—42no—
1103D11—81no—
1104D11—81no—
1105C24—111no—
1106C24—111no—
1107C24—111no—
1108C24—222no—
1109C24—441no—
1110C24—441no—
1111C24—441no—
1112C24—441no—
1113C24—441no—
1114C24—441no—
1115C24C23×D1111yescharacteristic
1116C24C23×D1111yescharacteristic
1117C2×Q8—22no—
1118C2×Q8—41no—
1119C2×Q8—41no—
1120C2×Q8—222no—
1121C2×Q8—441no—
1122C2×Q8—441no—
1123C2×D4—22no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—222no—
1127C2×D4—222no—
1128C2×D4—222no—
1129C2×D4—222no—
1130C2×D4—441no—
1131C2×D4—441no—
1132C2×D4—441no—
1133C2×D4—441no—
1134C2×D4—441no—
1135C2×D4—441no—
1136C2×D4—441no—
1137C2×D4—441no—
1138C2×D4—441no—
1139C2×D4—441no—
1140C2×D4—441no—
1141C2×D4—441no—
1142C2×D4—441no—
1143C2×D4—441no—
1144C22×C4—111no—
1145C22×C4—114no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—111no—
1154C22×C4—111no—
1155C22×C4—111no—
1156C22×C4—111no—
1157C22×C4—111no—
1158C22×C4—222no—
1159C22×C4—441no—
1160C22×C4—441no—
1161C22×C4—441no—
1162C22×C4—441no—
1163C22×C4—441no—
1164C22×C4—441no—
1165C22×C4—441no—
1166C22×C4—441no—
1167C22×C4—441no—
1168C22×C4—441no—
1169C22×C4C23×D1111yescharacteristic
1170C22×C4C23×D1111yescharacteristic
1171C22×C4C23×D1111yescharacteristic
1172C22×C4C23×D1111yescharacteristic
1173C22×C4C23×D1111yescharacteristic
1174C22×C4C23×D1111yescharacteristic
1175C22×C4C23×D1111yescharacteristic
1176C22×C4C23×D1111yescharacteristic
1177C22×C4C23×D1111yescharacteristic
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C4⋊C4—22no—
1183C4⋊C4—22no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—222no—
1189C4⋊C4—222no—
1190C4⋊C4—222no—
1191C4⋊C4—222no—
1192C4⋊C4—222no—
1193C4⋊C4—222no—
1194C4⋊C4—222no—
1195C4⋊C4—441no—
1196C4⋊C4—441no—
1197C4⋊C4—441no—
1198C4⋊C4—441no—
1199C4⋊C4—441no—
1200C4⋊C4—441no—
1201C4⋊C4—441no—
1202C4⋊C4—441no—
1203C4⋊C4—441no—
1204C4⋊C4—441no—
1205C4⋊C4—441no—
1206C4⋊C4—441no—
1207C4⋊C4—441no—
1208C4⋊C4—441no—
1209C4⋊C4—441no—
1210C4⋊C4—441no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—222no—
1226C22⋊C4—222no—
1227C22⋊C4—222no—
1228C22⋊C4—222no—
1229C22⋊C4—222no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—222no—
1234C22⋊C4—222no—
1235C22⋊C4—441no—
1236C22⋊C4—441no—
1237C22⋊C4—441no—
1238C22⋊C4—441no—
1239C22⋊C4—441no—
1240C22⋊C4—441no—
1241C22⋊C4—441no—
1242C22⋊C4—441no—
1243C22⋊C4—441no—
1244C22⋊C4—441no—
1245C22⋊C4—441no—
1246C22⋊C4—441no—
1247C22⋊C4—441no—
1248C22⋊C4—441no—
1249C22⋊C4—441no—
1250C22⋊C4—441no—
1251C22⋊C4—441no—
1252C22⋊C4—441no—
1253C22⋊C4—441no—
1254C22⋊C4—441no—
1255C22⋊C4—441no—
1256C22⋊C4—441no—
1257C22⋊C4—441no—
1258C22⋊C4—441no—
1259C22⋊C4—441no—
1260C22⋊C4—441no—
1261C22⋊C4—441no—
1262C22⋊C4—441no—
1263C22⋊C4—441no—
1264C22⋊C4—441no—
1265C22⋊C4—441no—
1266C22⋊C4—441no—
1267C42—22no—
1268C42—22no—
1269C42—22no—
1270C42—41no—
1271C42—41no—
1272C42—41no—
1273C42—41no—
1274C42—222no—
1275C42—441no—
1276C42—441no—
1277C42—441no—
1278C42—441no—
1279C42—441no—
1280C42—441no—
1281C11#3701011yescharacteristic, complemented, Sylow
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—112no—
1297C23—221no—
1298C23—221no—
1299C23—221no—
1300C23—221no—
1301C23—221no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—221no—
1312C23—221no—
1313C23—221no—
1314C23—221no—
1315C23—221no—
1316C23—221no—
1317C23—444no—
1318C23—882no—
1319C23—882no—
1320C23—882no—
1321C23—882no—
1322C23—882no—
1323C23—882no—
1324C23C24×D1111yescharacteristic
1325Q8—82no—
1326Q8—882no—
1327D4—82no—
1328D4—882no—
1329D4—882no—
1330D4—882no—
1331D4—882no—
1332D4—882no—
1333D4—882no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—112no—
1371C2×C4—221no—
1372C2×C4—221no—
1373C2×C4—221no—
1374C2×C4—221no—
1375C2×C4—221no—
1376C2×C4—221no—
1377C2×C4—221no—
1378C2×C4—221no—
1379C2×C4—221no—
1380C2×C4—221no—
1381C2×C4—221no—
1382C2×C4—221no—
1383C2×C4—221no—
1384C2×C4—221no—
1385C2×C4—221no—
1386C2×C4—221no—
1387C2×C4—221no—
1388C2×C4—221no—
1389C2×C4—221no—
1390C2×C4—221no—
1391C2×C4—221no—
1392C2×C4—221no—
1393C2×C4—221no—
1394C2×C4—221no—
1395C2×C4—221no—
1396C2×C4—221no—
1397C2×C4—221no—
1398C2×C4—221no—
1399C2×C4—221no—
1400C2×C4—221no—
1401C2×C4—221no—
1402C2×C4—221no—
1403C2×C4—221no—
1404C2×C4—221no—
1405C2×C4—221no—
1406C2×C4—221no—
1407C2×C4—221no—
1408C2×C4—221no—
1409C2×C4—444no—
1410C2×C4—882no—
1411C2×C4—882no—
1412C2×C4—882no—
1413C2×C4#6703712yes—
1414C2×C4#41×D1112yes—
1415C2×C4#6704212yes—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—222no—
1431C22—222no—
1432C22—222no—
1433C22—441no—
1434C22—441no—
1435C22—441no—
1436C22—441no—
1437C22—441no—
1438C22—441no—
1439C22—441no—
1440C22—441no—
1441C22—441no—
1442C22—441no—
1443C22—441no—
1444C22—441no—
1445C22—441no—
1446C22—441no—
1447C22—441no—
1448C22—441no—
1449C22—441no—
1450C22—441no—
1451C22—888no—
1452C22C2×#6703711yescharacteristic
1453C22C2×#41×D1111yescharacteristic
1454C22C2×#6704211yescharacteristic
1455C22#1062345311yescharacteristic
1456C22#1062345311yescharacteristic
1457C22#1062345311yescharacteristic
1458C22#1062345311yescharacteristic
1459C4—22no—
1460C4—22no—
1461C4—22no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—222no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C4—441no—
1477C4—441no—
1478C4—441no—
1479C4—441no—
1480C4—441no—
1481C4—441no—
1482C4—441no—
1483C4—441no—
1484C4—441no—
1485C2—81no—
1486C2—81no—
1487C2—442no—
1488C2—881no—
1489C2—881no—
1490C2#1308199911yescharacteristic
1491C2#1308230811yescharacteristic
1492C2#1308248511yescharacteristic
1493C2#1308296811yescharacteristic
1494C2#1308297311yescharacteristic
1495C2#1308320411yescharacteristic
1496C2#1308320811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2861C2
prime radical#13073545C2
hypercenter#2861D11
hypocenterC11#37010
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2861

Complements

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

NH ≅ G/Ntype
1. #13076988C2semidirect
2. #13075911C2semidirect
3. #13075902C2semidirect
4. #13075881C2semidirect
5. #13075878C2semidirect
6. #13075613C2semidirect
7. #13075609C2semidirect
8. #13075514C2semidirect
9. #13075505C2semidirect
10. #13075137C2semidirect
11. #13075130C2semidirect
12. #13075035C2semidirect
13. #13075032C2semidirect
14. #13075005C2semidirect
15. #13075002C2semidirect
16. #13074997C2semidirect
17. #13074992C2semidirect
18. #13074647C2semidirect
19. #13074645C2semidirect
20. #13074279C2semidirect
21. #13073767C2semidirect
22. #13073765C2semidirect
24. #13073387C2semidirect
25. #13073385C2semidirect
26. #13073076C2semidirect
27. #13072888C2semidirect
28. #13071379C2semidirect
29. #13071210C2semidirect
30. #13071113C2semidirect
31. C11×#2861C2semidirect
32. C2×C11×#125C22semidirect
34. C2×#66999C22semidirect
43. C2×#66931C22semidirect
46. C2×#66923C22semidirect
47. C11×#391C22semidirect
48. C11×#391C22semidirect
55. C11×#388C22semidirect
56. C11×#388C22semidirect
57. C11×#388C22semidirect
58. C11×#388C22semidirect
59. C43×C11C22semidirect
62. #10622843C22semidirect
67. #10622607C22semidirect
69. #10622606C22semidirect
73. #10622605C22semidirect
79. #10622596C22semidirect
80. #10622594C22semidirect
81. #10622594C22semidirect
82. #10622593C22semidirect
83. #10622593C22semidirect
84. #10622591C22semidirect
85. #10622589C22semidirect
86. #10622586C22semidirect
87. #10622585C22semidirect
99. #10622571C22semidirect
103. #10622570C22semidirect
104. #10622570C22semidirect
106. #10622569C22semidirect
111. #10622566C22semidirect
112. #10622566C22semidirect
119. #10622562C22semidirect
121. #10622561C22semidirect
127. #10622557C22semidirect
128. #10622556C22semidirect
129. C22⋊C4×Dic11C22semidirect
138. #10622553C22semidirect
139. #10622553C22semidirect
140. #10622553C22semidirect
141. #10622553C22semidirect
146. #10622546C22semidirect
147. #10622546C22semidirect
148. #10622546C22semidirect
149. #10622546C22semidirect
150. #10622545C22semidirect
151. C4×Dic11⋊C4C22semidirect
152. C4×Dic11⋊C4C22semidirect
153. #10622542C22semidirect
154. #10622542C22semidirect
158. #10622288C22semidirect
165. #10622283C22semidirect
170. #10622279C22semidirect
174. #10622277C22semidirect
175. #10622274C22semidirect
176. #10622272C22semidirect
177. #10622271C22semidirect
178. #10622270C22semidirect
179. #10622270C22semidirect
180. #10622268C22semidirect
181. #10622267C22semidirect
182. #10622267C22semidirect
183. #10622266C22semidirect
184. #10622265C22semidirect
185. #10622263C22semidirect
186. #10622259C22semidirect
535. #2861D11semidirect
702. C2×#125C2×D11semidirect
766. #391C2×D11semidirect
767. #391C2×D11semidirect
808. #388C2×D11semidirect
809. #388C2×D11semidirect
810. #388C2×D11semidirect
811. #388C2×D11semidirect
853. C43C2×D11semidirect
1281. C11#37010semidirect

Maximal subgroups

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

subgroupindex
#130769882
#130759112
#130759022
#130758812
#130758782
#130756132
#130756092
#130755142
#130755052
#130751372
#130751302
#130750352
#130750322
#130750052
#130750022
#130749972
#130749922
#130746472
#130746452
#130742792
#130737672
#130737652
#130735452
#130733872
#130733852
#130730762
#130728882
#130713792
#130712102
#130711132
C11×#28612
#3701011