Finite Group Databasebeta

← #14923566

Subgroups — #14923566

Order 2816.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073468C211yesmaximal, characteristic, complemented
2#13073445C211yesmaximal, characteristic, complemented
3#13073410C211yesmaximal, characteristic, complemented
4#13073387C211yesmaximal, characteristic, complemented
5#13073339C211yesmaximal, characteristic, complemented
6#13073316C211yesmaximal, characteristic, complemented
7#13073257C211yesmaximal, characteristic, complemented
8#13073234C211yesmaximal, characteristic, complemented
9#13073175C211yesmaximal, characteristic, complemented
10#13073116C211yesmaximal, characteristic, complemented
11#13073059C211yesmaximal, characteristic, complemented
12#13072888C211yesmaximal, characteristic, complemented
13#13072860C211yesmaximal, characteristic, complemented
14#13072738C211yesmaximal, characteristic
15#13072289C211yesmaximal, characteristic, complemented
16#13071998C211yesmaximal, characteristic
17#13071916C211yesmaximal, characteristic, complemented
18#13071886C211yesmaximal, characteristic, complemented
19#13071877C211yesmaximal, characteristic, complemented
20#13071875C211yesmaximal, characteristic, complemented
21C4×#66932C211yesmaximal, characteristic, complemented
22C4×#66999C211yesmaximal, characteristic, complemented
23C4×#66936C211yesmaximal, characteristic, complemented
24C4×#66990C211yesmaximal, characteristic
25#13071113C211yesmaximal, characteristic, complemented
26#13071079C211yesmaximal, characteristic, complemented
27#13071062C211yesmaximal, characteristic, complemented
28#13070997C211yesmaximal, characteristic, complemented
29C4×#66925C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C4×C11×#124C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#124C2211yescharacteristic
34C2×C4×Q8×C11C2211yescharacteristic, complemented
35C2×C4×D4×C11C2211yescharacteristic
36C2×#66999C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×#66979C2211yescharacteristic, complemented
41C2×#66936C2211yescharacteristic
42C2×C22⋊C4×D11C2211yescharacteristic
43C2×C22⋊C4×D11C2211yescharacteristic
44C2×#66932C2211yescharacteristic
45C2×#66925C2211yescharacteristic
46C2×#66925C2211yescharacteristic
47C2×#66925C2211yescharacteristic
48C2×#66925C2211yescharacteristic
49C2×C42×D11C2211yescharacteristic
50C2×C42×D11C2211yescharacteristic
51C11×#391C2211yescharacteristic, complemented
52C11×#390C2211yescharacteristic
53C11×#388C2211yescharacteristic
54C11×#388C2211yescharacteristic
55C11×#388C2211yescharacteristic, complemented
56C11×#388C2211yescharacteristic, complemented
57C11×#382C2211yescharacteristic, complemented
58C4×C11×C22⋊C4C2211yescharacteristic
59C4×C11×C22⋊C4C2211yescharacteristic
60C4×C11×C22⋊C4C2211yescharacteristic, complemented
61C4×C11×C22⋊C4C2211yescharacteristic, complemented
62C43×C11C2211yescharacteristic, complemented
63#10622844C2211yescharacteristic
64#10622843C2211yescharacteristic, complemented
65#10622842C2211yescharacteristic, complemented
66#10622835C2211yescharacteristic
67#10622835C2211yescharacteristic
68#10622833C2211yescharacteristic
69C4×C22⋊Dic11C2211yescharacteristic
70C4×C22⋊Dic11C2211yescharacteristic
71C4×C22⋊Dic11C2211yescharacteristic
72C4×C22⋊Dic11C2211yescharacteristic, complemented
73#10622607C2211yescharacteristic
74#10622607C2211yescharacteristic
75#10622605C2211yescharacteristic
76#10622602C2211yescharacteristic
77#10622602C2211yescharacteristic
78#10622602C2211yescharacteristic
79#10622602C2211yescharacteristic
80#10622600C2211yescharacteristic
81#10622599C2211yescharacteristic, complemented
82#10622597C2211yescharacteristic, complemented
83#10622597C2211yescharacteristic, complemented
84#10622596C2211yescharacteristic, complemented
85#10622595C2211yescharacteristic, complemented
86#10622591C2211yescharacteristic, complemented
87#10622591C2211yescharacteristic, complemented
88#10622586C2211yescharacteristic, complemented
89#10622574C2211yescharacteristic
90#10622572C2211yescharacteristic
91#10622570C2211yescharacteristic
92#10622570C2211yescharacteristic
93#10622569C2211yescharacteristic
94#10622569C2211yescharacteristic
95#10622569C2211yescharacteristic
96#10622569C2211yescharacteristic
97#10622569C2211yescharacteristic
98#10622568C2211yescharacteristic
99#10622568C2211yescharacteristic
100#10622568C2211yescharacteristic
101#10622566C2211yescharacteristic
102#10622566C2211yescharacteristic
103#10622565C2211yescharacteristic
104#10622565C2211yescharacteristic
105#10622565C2211yescharacteristic, complemented
106#10622565C2211yescharacteristic, complemented
107#10622565C2211yescharacteristic, complemented
108#10622564C2211yescharacteristic
109#10622564C2211yescharacteristic, complemented
110#10622562C2211yescharacteristic
111#10622562C2211yescharacteristic, complemented
112#10622561C2211yescharacteristic
113#10622559C2211yescharacteristic
114#10622558C2211yescharacteristic
115#10622558C2211yescharacteristic, complemented
116#10622558C2211yescharacteristic, complemented
117#10622558C2211yescharacteristic, complemented
118#10622557C2211yescharacteristic
119#10622557C2211yescharacteristic, complemented
120#10622557C2211yescharacteristic, complemented
121#10622555C2211yescharacteristic
122#10622555C2211yescharacteristic
123C22⋊C4×Dic11C2211yescharacteristic
124C22⋊C4×Dic11C2211yescharacteristic
125#10622553C2211yescharacteristic
126#10622553C2211yescharacteristic
127#10622553C2211yescharacteristic
128#10622553C2211yescharacteristic
129C4×(C2×D11)⋊C4C2211yescharacteristic
130C4×(C2×D11)⋊C4C2211yescharacteristic
131C4×(C2×D11)⋊C4C2211yescharacteristic
132C4×(C2×D11)⋊C4C2211yescharacteristic
133C4×(C2×D11)⋊C4C2211yescharacteristic
134C4×(C2×D11)⋊C4C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137C4×C4⋊Dic11C2211yescharacteristic, complemented
138C4×C4⋊Dic11C2211yescharacteristic, complemented
139#10622546C2211yescharacteristic, complemented
140#10622546C2211yescharacteristic, complemented
141#10622546C2211yescharacteristic, complemented
142#10622546C2211yescharacteristic, complemented
143#10622545C2211yescharacteristic, complemented
144#10622545C2211yescharacteristic, complemented
145#10622545C2211yescharacteristic, complemented
146C4×Dic11⋊C4C2211yescharacteristic, complemented
147C4×Dic11⋊C4C2211yescharacteristic, complemented
148C4×Dic11⋊C4C2211yescharacteristic, complemented
149C4×Dic11⋊C4C2211yescharacteristic, complemented
150C4×Dic11⋊C4C2211yescharacteristic, complemented
151C4×Dic11⋊C4C2211yescharacteristic, complemented
152C4×Dic11⋊C4C2211yescharacteristic, complemented
153C4×Dic11⋊C4C2211yescharacteristic, complemented
154C42×Dic11C2211yescharacteristic, complemented
155#10622288C2211yescharacteristic
156#10622287C2211yescharacteristic
157#10622283C2211yescharacteristic
158#10622283C2211yescharacteristic
159#10622281C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622280C2211yescharacteristic
163#10622280C2211yescharacteristic
164#10622279C2211yescharacteristic
165#10622279C2211yescharacteristic
166#10622277C2211yescharacteristic
167#10622277C2211yescharacteristic
168#10622277C2211yescharacteristic
169D11×#95C2211yescharacteristic
170D11×#95C2211yescharacteristic
171C11⋊#401C2211yescharacteristic, complemented
172#10622273C2211yescharacteristic, complemented
173#10622272C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622271C2211yescharacteristic, complemented
176#10622270C2211yescharacteristic, complemented
177#10622268C2211yescharacteristic, complemented
178#10622268C2211yescharacteristic, complemented
179#10622268C2211yescharacteristic, complemented
180#10622267C2211yescharacteristic, complemented
181#10622266C2211yescharacteristic, complemented
182#10622265C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622264C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C22×C22⋊D11C2311yescharacteristic
193C22×C22⋊D11C2311yescharacteristic
194C23×Dic11C2311yescharacteristic
195C22×C4×D11—24no—
196C22×C4×D11—24no—
197C22×C4×D11—42no—
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C22×C4×D11C2311yescharacteristic
202C22×C4×D11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C11×#124—24no—
207C4×Q8×C11—42no—
208C4×D4×C11—42no—
209C2×C11×C4⋊C4C2311yescharacteristic
210C2×C11×C4⋊C4C2311yescharacteristic
211C2×C11×C4⋊C4C2311yescharacteristic
212C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C42×C11C2311yescharacteristic
225C2×C42×C11C2311yescharacteristic
226C2×C42×C11C2311yescharacteristic
227C2×C42×C11C2311yescharacteristic
228C2×C42×C11C2311yescharacteristic
229C2×C42×C11C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C22⋊Dic11C2311yescharacteristic
233C2×C22⋊Dic11C2311yescharacteristic
234C2×C22⋊Dic11C2311yescharacteristic
235C2×C22⋊Dic11C2311yescharacteristic
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244#66999—24no—
245#66990—24no—
246C4×C22⋊D11—24no—
247C4×C22⋊D11—24no—
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
266#66979—42no—
267C2×C4⋊Dic11C2311yescharacteristic
268C2×C4⋊Dic11C2311yescharacteristic
269C2×C4⋊Dic11C2311yescharacteristic
270C2×C4⋊Dic11C2311yescharacteristic
271C2×C4⋊Dic11C2311yescharacteristic
272C2×C4⋊Dic11C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
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×C4×Dic11C2311yescharacteristic
292C2×C4×Dic11C2311yescharacteristic
293C2×C4×Dic11C2311yescharacteristic
294C2×C4×Dic11C2311yescharacteristic
295C2×C4×Dic11C2311yescharacteristic
296C2×C4×Dic11C2311yescharacteristic
297C2×C4×Dic11C2311yescharacteristic
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305#66936—24no—
306C22⋊C4×D11—24no—
307C22⋊C4×D11—24no—
308#66932—24no—
309#66925—24no—
310#66925—24no—
311#66925—24no—
312#66925—42no—
313C42×D11—24no—
314C42×D11—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
357C11⋊#95C2311yescharacteristic
358C11⋊#95C2311yescharacteristic
359C11⋊#95C2311yescharacteristic
360C11⋊#95C2311yescharacteristic
361C11⋊#95C2311yescharacteristic
362C11⋊#95C2311yescharacteristic
363#34806—111nomaximal, Sylow
364C24×C11C2411yescharacteristic
365C24×C11C2411yescharacteristic
366C23×D11—22no—
367C23×D11—22no—
368C23×D11—22no—
369C23×D11—22no—
370C23×D11—22no—
371C23×D11—41no—
372C23×D11—41no—
373C23×D11C2411yescharacteristic
374C23×D11C2411yescharacteristic
375C2×Q8×C11—22no—
376C2×Q8×C11—22no—
377C2×Q8×C11—41no—
378C2×D4×C11—22no—
379C2×D4×C11—22no—
380C2×D4×C11—41no—
381C22×C4×C11—22no—
382C22×C4×C11—22no—
383C22×C4×C11—22no—
384C22×C4×C11—22no—
385C22×C4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11C2411yescharacteristic
388C22×C4×C11C2411yescharacteristic
389C22×C4×C11C2411yescharacteristic
390C22×C4×C11C2411yescharacteristic
391C22×C4×C11C2411yescharacteristic
392C22×C4×C11C2411yescharacteristic
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C2×C22⋊D11—22no—
401C2×C22⋊D11—22no—
402C2×C22⋊D11—22no—
403C2×C22⋊D11—22no—
404C2×C22⋊D11—22no—
405C2×C22⋊D11—41no—
406C22×Dic11—22no—
407C22×Dic11—22no—
408C22×Dic11—41no—
409C22×Dic11C2411yescharacteristic
410C22×Dic11C2411yescharacteristic
411C22×Dic11C2411yescharacteristic
412C22×Dic11C2411yescharacteristic
413C22×Dic11C2411yescharacteristic
414C22×Dic11C2411yescharacteristic
415C22×Dic11C2411yescharacteristic
416C22×Dic11C2411yescharacteristic
417C22×Dic11C2411yescharacteristic
418C22×Dic11C2411yescharacteristic
419C22×Dic11C2411yescharacteristic
420C22×Dic11C2411yescharacteristic
421C22×Dic11C2411yescharacteristic
422C22×Dic11C2411yescharacteristic
423C2×C4×D11—22no—
424C2×C4×D11—22no—
425C2×C4×D11—22no—
426C2×C4×D11—22no—
427C2×C4×D11—22no—
428C2×C4×D11—22no—
429C2×C4×D11—22no—
430C2×C4×D11—22no—
431C2×C4×D11—22no—
432C2×C4×D11—22no—
433C2×C4×D11—22no—
434C2×C4×D11—22no—
435C2×C4×D11—22no—
436C2×C4×D11—22no—
437C2×C4×D11—22no—
438C2×C4×D11—41no—
439C2×C4×D11—41no—
440C2×C4×D11—41no—
441C2×C4×D11—41no—
442C2×C4×D11—41no—
443C2×C4×D11—41no—
444C2×C4×D11—416no—
445C2×C4×D11#4114yes—
446C2×C4×D11#4114yes—
447C2×C4×D11#4114yes—
448C11×C4⋊C4—41no—
449C11×C4⋊C4—41no—
450C11×C4⋊C4—41no—
451C11×C4⋊C4—41no—
452C11×C22⋊C4—22no—
453C11×C22⋊C4—22no—
454C11×C22⋊C4—22no—
455C11×C22⋊C4—22no—
456C11×C22⋊C4—22no—
457C11×C22⋊C4—41no—
458C11×C22⋊C4—41no—
459C11×C22⋊C4—41no—
460C11×C22⋊C4—41no—
461C11×C22⋊C4#4114yes—
462C42×C11—22no—
463C42×C11—22no—
464C42×C11—22no—
465C42×C11—22no—
466C42×C11—22no—
467C42×C11—22no—
468C42×C11—22no—
469C42×C11—22no—
470C42×C11—41no—
471C22⋊Dic11—22no—
472C22⋊Dic11—22no—
473C22⋊Dic11—22no—
474C22⋊Dic11—22no—
475C22⋊Dic11—22no—
476C22⋊Dic11—22no—
477C22⋊Dic11—22no—
478C22⋊Dic11—22no—
479C22⋊Dic11—41no—
480C22⋊Dic11—41no—
481C22⋊Dic11—41no—
482C22⋊Dic11—41no—
483(C2×D11)⋊C4—22no—
484(C2×D11)⋊C4—22no—
485(C2×D11)⋊C4—22no—
486(C2×D11)⋊C4—22no—
487(C2×D11)⋊C4—22no—
488(C2×D11)⋊C4—22no—
489(C2×D11)⋊C4—22no—
490(C2×D11)⋊C4—22no—
491(C2×D11)⋊C4—22no—
492(C2×D11)⋊C4—22no—
493(C2×D11)⋊C4—22no—
494(C2×D11)⋊C4—22no—
495(C2×D11)⋊C4—22no—
496(C2×D11)⋊C4—22no—
497(C2×D11)⋊C4—41no—
498(C2×D11)⋊C4—41no—
499(C2×D11)⋊C4—41no—
500(C2×D11)⋊C4#4114yes—
501C4⋊Dic11—22no—
502C4⋊Dic11—22no—
503C4⋊Dic11—22no—
504C4⋊Dic11—41no—
505C4⋊Dic11—41no—
506C4⋊Dic11—41no—
507Dic11⋊C4—22no—
508Dic11⋊C4—22no—
509Dic11⋊C4—22no—
510Dic11⋊C4—22no—
511Dic11⋊C4—22no—
512Dic11⋊C4—22no—
513Dic11⋊C4—22no—
514Dic11⋊C4—22no—
515Dic11⋊C4—22no—
516Dic11⋊C4—22no—
517Dic11⋊C4—22no—
518Dic11⋊C4—22no—
519Dic11⋊C4—22no—
520Dic11⋊C4—41no—
521Dic11⋊C4—41no—
522Dic11⋊C4—41no—
523Dic11⋊C4—41no—
524Dic11⋊C4—41no—
525C4×Dic11—22no—
526C4×Dic11—22no—
527C4×Dic11—22no—
528C4×Dic11—22no—
529C4×Dic11—22no—
530C4×Dic11—22no—
531C4×Dic11—22no—
532C4×Dic11—22no—
533C4×Dic11—22no—
534C4×Dic11—22no—
535C4×Dic11—22no—
536C4×Dic11—41no—
537C4×Dic11—41no—
538C4×Dic11—41no—
539#2531—111no—
540#2530—111no—
541#2527—111no—
542#2526—111no—
543#2522—111no—
544#2521—111no—
545#2516—111no—
546#2515—111no—
547#2510—111no—
548#2505—111no—
549#2498—111no—
550#2482—111no—
551#2480—111no—
552#2472—111no—
553#2438—111no—
554#2411—111no—
555#2401—111no—
556#2396—111no—
557#2395—111no—
558#2395—111no—
559C4×#126—111no—
560C4×#124D1111yescharacteristic, complemented
561C4×C22⋊Q8—111no—
562C4×#123—111no—
563C4×#120—111no—
564#2298—111no—
565#2293—111no—
566#2290—111no—
567#2280—111no—
568C4×#117—111no—
569C2×C4×C22⋊C4—111no—
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×C11—21no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11C2×#4112yes—
584C23×C11C2511yescharacteristic
585C22×D11—21no—
586C22×D11—21no—
587C22×D11—21no—
588C22×D11—21no—
589C22×D11—28no—
590C22×D11—21no—
591C22×D11—21no—
592C22×D11—21no—
593C22×D11—21no—
594C22×D11—21no—
595C22×D11—21no—
596C22×D11—44no—
597C22×D11—44no—
598C22×D11—44no—
599C22×D11—44no—
600C22×D11—44no—
601C22×D11—44no—
602C22×D11C2×#4112yes—
603C22×D11C2×#4112yes—
604C22×D11C2×#4112yes—
605C22×D11C2×#4112yes—
606Q8×C11—44no—
607D4×C11—44no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
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—44no—
641C2×C4×C11—44no—
642C2×C4×C11C2×#4112yes—
643C2×C4×C11C2×#4112yes—
644C2×C4×C11C2×#4112yes—
645C2×C4×C11C2×#4112yes—
646C2×C4×C11C2×#4112yes—
647C2×C4×C11C2×#4112yes—
648C2×C4×C11H(5,𝔽2)12yes—
649C22⋊D11—44no—
650C22⋊D11—44no—
651C2×Dic11—21no—
652C2×Dic11—21no—
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—44no—
690C2×Dic11C2×#4112yes—
691C2×Dic11C2×#4112yes—
692C2×Dic11C2×#4112yes—
693C2×Dic11C2×#4112yes—
694C4×D11—28no—
695C4×D11—28no—
696C4×D11—28no—
697C4×D11—44no—
698C4×D11—44no—
699C4×D11—44no—
700C4×D11—44no—
701C4×D11—44no—
702C24×C4—111no—
703C2×#126—111no—
704C2×#124C2×D1111yescharacteristic
705C2×#123—111no—
706C2×C22⋊Q8—111no—
707C2×#120—111no—
708C2×C4×Q8C2×D1111yescharacteristic, complemented
709C2×C4×D4—111no—
710C2×C4×D4—111no—
711C2×C4×D4C2×D1111yescharacteristic
712C2×#117—111no—
713C2×#117—111no—
714C2×#117—111no—
715C2×#117—111no—
716C2×#117—111no—
717C22×C22⋊C4—111no—
718C22×C22⋊C4—111no—
719C22×C42—111no—
720C22×C42—111no—
721#401—111no—
722#400—111no—
723#400—111no—
724#400—111no—
725#400—111no—
726#400—111no—
727#400—111no—
728#399—111no—
729#399—111no—
730#399—111no—
731#398—111no—
732#398—111no—
733#398—111no—
734#398—111no—
735#397—111no—
736#397—111no—
737#397—111no—
738#397—111no—
739#397—111no—
740#397—111no—
741#397—111no—
742#397—111no—
743#397—111no—
744#396—111no—
745#396—111no—
746#396—111no—
747#395—111no—
748#394—111no—
749#394—111no—
750#394—111no—
751#394—111no—
752#393—111no—
753#391—111no—
754#391C2×D1111yescharacteristic, complemented
755#390—111no—
756#390—111no—
757#390C2×D1111yescharacteristic
758#389—111no—
759#389—111no—
760#389—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388—111no—
766#388—111no—
767#388—111no—
768#388—111no—
769#388—111no—
770#388—111no—
771#388—111no—
772#388—111no—
773#388—111no—
774#388—111no—
775#388—111no—
776#388C2×D1111yescharacteristic
777#388C2×D1111yescharacteristic
778#388C2×D1111yescharacteristic, complemented
779#388C2×D1111yescharacteristic, complemented
780#387—111no—
781#387—111no—
782#387—111no—
783#387—111no—
784#387—111no—
785#387—111no—
786#387—111no—
787#387—111no—
788#387—111no—
789#387—111no—
790#387—111no—
791#387—111no—
792#387—111no—
793#386—111no—
794#386—111no—
795#386—111no—
796#386—111no—
797#386—111no—
798#386—111no—
799#385—111no—
800#385—111no—
801#385—111no—
802#385—111no—
803#385—111no—
804#385—111no—
805#385—111no—
806#385—111no—
807#383—111no—
808#382C2×D1111yescharacteristic, complemented
809#381—111no—
810#381—111no—
811#381—111no—
812#380—111no—
813#380—111no—
814#380—111no—
815#380—111no—
816#380—111no—
817#379—111no—
818#379—111no—
819#379—111no—
820C4×C4⋊C4—111no—
821C4×C4⋊C4—111no—
822C4×C4⋊C4—111no—
823C4×C4⋊C4—111no—
824C4×C4⋊C4—111no—
825C4×C4⋊C4—111no—
826C4×C4⋊C4—111no—
827C4×C4⋊C4—111no—
828C4×C4⋊C4—111no—
829C4×C4⋊C4—111no—
830C4×C22⋊C4—111no—
831C4×C22⋊C4—111no—
832C4×C22⋊C4—111no—
833C4×C22⋊C4—111no—
834C4×C22⋊C4—111no—
835C4×C22⋊C4—111no—
836C4×C22⋊C4—111no—
837C4×C22⋊C4—111no—
838C4×C22⋊C4—111no—
839C4×C22⋊C4—111no—
840C4×C22⋊C4—111no—
841C4×C22⋊C4—111no—
842C4×C22⋊C4—111no—
843C4×C22⋊C4—111no—
844C4×C22⋊C4—111no—
845C4×C22⋊C4—111no—
846C4×C22⋊C4C2×D1111yescharacteristic
847C4×C22⋊C4C2×D1111yescharacteristic
848C4×C22⋊C4C2×D1111yescharacteristic, complemented
849C4×C22⋊C4C2×D1111yescharacteristic, complemented
850#376—111no—
851#376—111no—
852#376—111no—
853C2×#95—111no—
854C2×#95—111no—
855C43—111no—
856C43C2×D1111yescharacteristic, complemented
857C22×C11—22no—
858C22×C11—22no—
859C22×C11—22no—
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×C11—41no—
869C22×C11—41no—
870C22×C11—41no—
871C22×C11C22×#4111yescharacteristic
872C22×C11C22×#4111yescharacteristic
873C22×C11C22×#4111yescharacteristic
874C22×C11C22×#4111yescharacteristic
875C22×C11C22×#4111yescharacteristic
876C22×C11C2×H(5,𝔽2)11yescharacteristic
877C22×C11#58511yescharacteristic
878C2×D11—22no—
879C2×D11—22no—
880C2×D11—22no—
881C2×D11—22no—
882C2×D11—22no—
883C2×D11—22no—
884C2×D11—22no—
885C2×D11—22no—
886C2×D11—22no—
887C2×D11—416no—
888C2×D11—41no—
889C2×D11—41no—
890C2×D11—41no—
891C2×D11—41no—
892C2×D11#52914yes—
893C4×C11—22no—
894C4×C11—22no—
895C4×C11—22no—
896C4×C11—22no—
897C4×C11—41no—
898C4×C11—41no—
899C4×C11—41no—
900C4×C11—41no—
901C4×C11—41no—
902C4×C11—41no—
903C4×C11—41no—
904C4×C11—41no—
905C4×C11#55114yes—
906Dic11—22no—
907Dic11—22no—
908Dic11—22no—
909Dic11—22no—
910Dic11—41no—
911Dic11—41no—
912Dic11—41no—
913Dic11—41no—
914Dic11—41no—
915Dic11—41no—
916Dic11—41no—
917Dic11—41no—
918Dic11—41no—
919Dic11—41no—
920C25—111no—
921C22×Q8C22×D1111yescharacteristic
922C22×D4—111no—
923C22×D4—111no—
924C22×D4C22×D1111yescharacteristic
925C23×C4—111no—
926C23×C4—111no—
927C23×C4—111no—
928C23×C4—111no—
929C23×C4—111no—
930C23×C4—111no—
931C23×C4—111no—
932C23×C4—111no—
933C23×C4—111no—
934C23×C4—224no—
935C23×C4—224no—
936C23×C4—442no—
937C23×C4C22×D1111yescharacteristic
938C23×C4C22×D1111yescharacteristic
939#126—224no—
940#124—24no—
941#123—224no—
942C22⋊Q8—224no—
943#120—224no—
944C4×Q8—42no—
945C4×D4—42no—
946C4×D4—224no—
947C4×D4—224no—
948#117—224no—
949#117—224no—
950#117—224no—
951#117—442no—
952#117—442no—
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⋊C4—111no—
977C2×C4⋊C4C22×D1111yescharacteristic
978C2×C4⋊C4C22×D1111yescharacteristic
979C2×C4⋊C4C22×D1111yescharacteristic
980C2×C4⋊C4C22×D1111yescharacteristic
981C2×C22⋊C4—111no—
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—224no—
1012C2×C22⋊C4—224no—
1013C2×C22⋊C4C22×D1111yescharacteristic
1014C2×C22⋊C4C22×D1111yescharacteristic
1015C2×C22⋊C4C22×D1111yescharacteristic
1016C2×C22⋊C4C22×D1111yescharacteristic
1017C2×C22⋊C4C22×D1111yescharacteristic
1018C2×C22⋊C4C22×D1111yescharacteristic
1019C2×C22⋊C4C22×D1111yescharacteristic
1020C2×C22⋊C4C22×D1111yescharacteristic
1021C2×C22⋊C4C22×D1111yescharacteristic
1022C2×C22⋊C4C22×D1111yescharacteristic
1023C2×C42—111no—
1024C2×C42—111no—
1025C2×C42—111no—
1026C2×C42—111no—
1027C2×C42—111no—
1028C2×C42—111no—
1029C2×C42—111no—
1030C2×C42—111no—
1031C2×C42—111no—
1032C2×C42—111no—
1033C2×C42—111no—
1034C2×C42—111no—
1035C2×C42—111no—
1036C2×C42—111no—
1037C2×C42—224no—
1038C2×C42—442no—
1039C2×C42C22×D1111yescharacteristic
1040C2×C42C22×D1111yescharacteristic
1041C2×C42C22×D1111yescharacteristic
1042C2×C42C22×D1111yescharacteristic
1043C2×C42C22×D1111yescharacteristic
1044C2×C42C22×D1111yescharacteristic
1045C2×C42C22×D1111yescharacteristic
1046C2×C42C22×D1111yescharacteristic
1047C2×C42C22×D1111yescharacteristic
1048#95—111no—
1049#95—111no—
1050#95—111no—
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#95—111no—
1086#95—111no—
1087#95—111no—
1088#95C22×D1111yescharacteristic
1089#95C22×D1111yescharacteristic
1090#95C22×D1111yescharacteristic
1091#95C22×D1111yescharacteristic
1092#95C22×D1111yescharacteristic
1093#95C22×D1111yescharacteristic
1094#95C22×D1111yescharacteristic
1095#95C22×D1111yescharacteristic
1096C2×C11—42no—
1097C2×C11—81no—
1098C2×C11C2×#52911yescharacteristic
1099C2×C11#344411yescharacteristic
1100C2×C11#346011yescharacteristic
1101C2×C11C2×#55111yescharacteristic
1102C2×C11#347511yescharacteristic
1103C2×C11#347511yescharacteristic
1104C2×C11#348111yescharacteristic
1105D11—24no—
1106D11—42no—
1107C24—111no—
1108C24—111no—
1109C24—222no—
1110C24—222no—
1111C24—222no—
1112C24—222no—
1113C24—222no—
1114C24—441no—
1115C24—441no—
1116C24C23×D1111yescharacteristic
1117C24C23×D1111yescharacteristic
1118C2×Q8—22no—
1119C2×Q8—22no—
1120C2×Q8—41no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—41no—
1124C2×D4—222no—
1125C2×D4—222no—
1126C2×D4—222no—
1127C2×D4—222no—
1128C2×D4—222no—
1129C2×D4—441no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—111no—
1137C22×C4—111no—
1138C22×C4—111no—
1139C22×C4—111no—
1140C22×C4—114no—
1141C22×C4—114no—
1142C22×C4—114no—
1143C22×C4—111no—
1144C22×C4—111no—
1145C22×C4—111no—
1146C22×C4—111no—
1147C22×C4—111no—
1148C22×C4—111no—
1149C22×C4—111no—
1150C22×C4—111no—
1151C22×C4—111no—
1152C22×C4—111no—
1153C22×C4—222no—
1154C22×C4—222no—
1155C22×C4—222no—
1156C22×C4—222no—
1157C22×C4—222no—
1158C22×C4—222no—
1159C22×C4—222no—
1160C22×C4—222no—
1161C22×C4—222no—
1162C22×C4—222no—
1163C22×C4—222no—
1164C22×C4—222no—
1165C22×C4—222no—
1166C22×C4—222no—
1167C22×C4—222no—
1168C22×C4—222no—
1169C22×C4—222no—
1170C22×C4—441no—
1171C22×C4—441no—
1172C22×C4—441no—
1173C22×C4—441no—
1174C22×C4—441no—
1175C22×C4—441no—
1176C22×C4—4416no—
1177C22×C4—441no—
1178C22×C4C23×D1111yescharacteristic
1179C22×C4C23×D1111yescharacteristic
1180C22×C4C23×D1111yescharacteristic
1181C22×C4C23×D1111yescharacteristic
1182C22×C4C23×D1111yescharacteristic
1183C22×C4C23×D1111yescharacteristic
1184C22×C4C23×D1111yescharacteristic
1185C22×C4C23×D1111yescharacteristic
1186C22×C4C23×D1111yescharacteristic
1187C22×C4C23×D1111yescharacteristic
1188C22×C4C23×D1111yescharacteristic
1189C22×C4C23×D1111yescharacteristic
1190C22×C4C23×D1111yescharacteristic
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—222no—
1196C4⋊C4—222no—
1197C4⋊C4—222no—
1198C4⋊C4—222no—
1199C4⋊C4—222no—
1200C4⋊C4—222no—
1201C4⋊C4—222no—
1202C4⋊C4—222no—
1203C4⋊C4—222no—
1204C4⋊C4—222no—
1205C4⋊C4—222no—
1206C4⋊C4—222no—
1207C4⋊C4—222no—
1208C4⋊C4—222no—
1209C4⋊C4—222no—
1210C4⋊C4—222no—
1211C4⋊C4—441no—
1212C4⋊C4—441no—
1213C4⋊C4—441no—
1214C4⋊C4—441no—
1215C4⋊C4—441no—
1216C4⋊C4—441no—
1217C4⋊C4—441no—
1218C4⋊C4—441no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—114no—
1229C22⋊C4—222no—
1230C22⋊C4—222no—
1231C22⋊C4—222no—
1232C22⋊C4—222no—
1233C22⋊C4—222no—
1234C22⋊C4—222no—
1235C22⋊C4—222no—
1236C22⋊C4—222no—
1237C22⋊C4—222no—
1238C22⋊C4—222no—
1239C22⋊C4—222no—
1240C22⋊C4—222no—
1241C22⋊C4—222no—
1242C22⋊C4—222no—
1243C22⋊C4—222no—
1244C22⋊C4—222no—
1245C22⋊C4—222no—
1246C22⋊C4—222no—
1247C22⋊C4—222no—
1248C22⋊C4—222no—
1249C22⋊C4—222no—
1250C22⋊C4—222no—
1251C22⋊C4—441no—
1252C22⋊C4—441no—
1253C22⋊C4—441no—
1254C22⋊C4—441no—
1255C22⋊C4—441no—
1256C22⋊C4—441no—
1257C22⋊C4—441no—
1258C22⋊C4#433914yes—
1259C42—22no—
1260C42—22no—
1261C42—22no—
1262C42—22no—
1263C42—22no—
1264C42—22no—
1265C42—22no—
1266C42—22no—
1267C42—41no—
1268C42—222no—
1269C42—222no—
1270C42—222no—
1271C42—222no—
1272C42—222no—
1273C42—222no—
1274C42—222no—
1275C42—222no—
1276C42—222no—
1277C42—222no—
1278C42—222no—
1279C42—441no—
1280C42—441no—
1281C42—441no—
1282C11#3480611yescharacteristic, complemented, Sylow
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—112no—
1298C23—112no—
1299C23—112no—
1300C23—228no—
1301C23—221no—
1302C23—221no—
1303C23—221no—
1304C23—221no—
1305C23—221no—
1306C23—221no—
1307C23—221no—
1308C23—221no—
1309C23—221no—
1310C23—221no—
1311C23—444no—
1312C23—444no—
1313C23—444no—
1314C23—444no—
1315C23—444no—
1316C23—444no—
1317C23C2×#433912yes—
1318C23C24×D1111yescharacteristic
1319Q8—44no—
1320D4—44no—
1321D4—444no—
1322D4—444no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
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—44no—
1356C2×C4—44no—
1357C2×C4—112no—
1358C2×C4—112no—
1359C2×C4—112no—
1360C2×C4—112no—
1361C2×C4—228no—
1362C2×C4—221no—
1363C2×C4—221no—
1364C2×C4—221no—
1365C2×C4—221no—
1366C2×C4—221no—
1367C2×C4—221no—
1368C2×C4—221no—
1369C2×C4—221no—
1370C2×C4—228no—
1371C2×C4—228no—
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—444no—
1403C2×C4—444no—
1404C2×C4—444no—
1405C2×C4—444no—
1406C2×C4—444no—
1407C2×C4—444no—
1408C2×C4C2×#433912yes—
1409C2×C4C2×#433912yes—
1410C2×C4#6703712yes—
1411C2×C4#41×D1112yes—
1412C2×C4#41×D1112yes—
1413C2×C4#41×D1112yes—
1414C2×C4#41×D1112yes—
1415C22—22no—
1416C22—22no—
1417C22—22no—
1418C22—41no—
1419C22—41no—
1420C22—41no—
1421C22—41no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—114no—
1430C22—222no—
1431C22—222no—
1432C22—222no—
1433C22—222no—
1434C22—222no—
1435C22—222no—
1436C22—222no—
1437C22—222no—
1438C22—222no—
1439C22—4416no—
1440C22—441no—
1441C22—441no—
1442C22—441no—
1443C22—441no—
1444C22C22×#433911yescharacteristic
1445C22C2×#6703711yescharacteristic
1446C22C2×#41×D1111yescharacteristic
1447C22C2×#41×D1111yescharacteristic
1448C22C2×#41×D1111yescharacteristic
1449C22C2×#41×D1111yescharacteristic
1450C22#1062345311yescharacteristic
1451C4—22no—
1452C4—22no—
1453C4—22no—
1454C4—22no—
1455C4—41no—
1456C4—41no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—222no—
1464C4—222no—
1465C4—222no—
1466C4—222no—
1467C4—441no—
1468C4—441no—
1469C4—441no—
1470C4—441no—
1471C4—441no—
1472C4—441no—
1473C4—441no—
1474C4—441no—
1475C4—441no—
1476C4—441no—
1477C4#1062321014yes—
1478C2—42no—
1479C2—81no—
1480C2—224no—
1481C2—442no—
1482C2D11×#52911yescharacteristic
1483C2#1308190911yescharacteristic
1484C2#1308203011yescharacteristic
1485C2C2×#1062321011yescharacteristic
1486C2#1308217211yescharacteristic
1487C2#1308217811yescharacteristic
1488C2#1308222011yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC4×C11×#124C2
prime radicalC2×#66990C22
hypercenterC4×#124D11
hypocenterC11#34806
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#124

Complements

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

NH ≅ G/Ntype
1. #13073468C2semidirect
2. #13073445C2semidirect
3. #13073410C2semidirect
4. #13073387C2semidirect
5. #13073339C2semidirect
6. #13073316C2semidirect
7. #13073257C2semidirect
8. #13073234C2semidirect
9. #13073175C2semidirect
10. #13073116C2semidirect
11. #13073059C2semidirect
12. #13072888C2semidirect
13. #13072860C2semidirect
15. #13072289C2semidirect
17. #13071916C2semidirect
18. #13071886C2semidirect
19. #13071877C2semidirect
20. #13071875C2semidirect
21. C4×#66932C2semidirect
22. C4×#66999C2semidirect
23. C4×#66936C2semidirect
25. #13071113C2semidirect
26. #13071079C2semidirect
27. #13071062C2semidirect
28. #13070997C2semidirect
29. C4×#66925C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C4×C11×#124C2semidirect
34. C2×C4×Q8×C11C22semidirect
40. C2×#66979C22semidirect
51. C11×#391C22semidirect
55. C11×#388C22semidirect
56. C11×#388C22semidirect
57. C11×#382C22semidirect
60. C4×C11×C22⋊C4C22semidirect
61. C4×C11×C22⋊C4C22semidirect
62. C43×C11C22semidirect
64. #10622843C22semidirect
65. #10622842C22semidirect
72. C4×C22⋊Dic11C22semidirect
81. #10622599C22semidirect
82. #10622597C22semidirect
83. #10622597C22semidirect
84. #10622596C22semidirect
85. #10622595C22semidirect
86. #10622591C22semidirect
87. #10622591C22semidirect
88. #10622586C22semidirect
105. #10622565C22semidirect
106. #10622565C22semidirect
107. #10622565C22semidirect
109. #10622564C22semidirect
111. #10622562C22semidirect
115. #10622558C22semidirect
116. #10622558C22semidirect
117. #10622558C22semidirect
119. #10622557C22semidirect
120. #10622557C22semidirect
137. C4×C4⋊Dic11C22semidirect
138. C4×C4⋊Dic11C22semidirect
139. #10622546C22semidirect
140. #10622546C22semidirect
141. #10622546C22semidirect
142. #10622546C22semidirect
143. #10622545C22semidirect
144. #10622545C22semidirect
145. #10622545C22semidirect
146. C4×Dic11⋊C4C22semidirect
147. C4×Dic11⋊C4C22semidirect
148. C4×Dic11⋊C4C22semidirect
149. C4×Dic11⋊C4C22semidirect
150. C4×Dic11⋊C4C22semidirect
151. C4×Dic11⋊C4C22semidirect
152. C4×Dic11⋊C4C22semidirect
153. C4×Dic11⋊C4C22semidirect
154. C42×Dic11C22semidirect
171. C11⋊#401C22semidirect
172. #10622273C22semidirect
173. #10622272C22semidirect
174. #10622271C22semidirect
175. #10622271C22semidirect
176. #10622270C22semidirect
177. #10622268C22semidirect
178. #10622268C22semidirect
179. #10622268C22semidirect
180. #10622267C22semidirect
181. #10622266C22semidirect
182. #10622265C22semidirect
183. #10622265C22semidirect
184. #10622264C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
560. C4×#124D11semidirect
708. C2×C4×Q8C2×D11semidirect
754. #391C2×D11semidirect
778. #388C2×D11semidirect
779. #388C2×D11semidirect
808. #382C2×D11semidirect
848. C4×C22⋊C4C2×D11semidirect
849. C4×C22⋊C4C2×D11semidirect
856. C43C2×D11semidirect
1282. C11#34806semidirect

Maximal subgroups

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

subgroupindex
#130734682
#130734452
#130734102
#130733872
#130733392
#130733162
#130732572
#130732342
#130731752
#130731162
#130730592
#130728882
#130728602
#130727382
#130722892
#130719982
#130719162
#130718862
#130718772
#130718752
C4×#669322
C4×#669992
C4×#669362
C4×#669902
#130711132
#130710792
#130710622
#130709972
C4×#669252
C4×C22⋊C4×D112
C4×C11×#1242
#3480611