Finite Group Databasebeta

← #14923735

Subgroups — #14923735

Order 2816.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13073048C211yesmaximal, characteristic, complemented
2#13073046C211yesmaximal, characteristic, complemented
3#13073037C211yesmaximal, characteristic, complemented
4#13073035C211yesmaximal, characteristic, complemented
5#13073026C211yesmaximal, characteristic, complemented
6#13073024C211yesmaximal, characteristic, complemented
7#13073015C211yesmaximal, characteristic, complemented
8#13073013C211yesmaximal, characteristic, complemented
9#13073008C211yesmaximal, characteristic, complemented
10#13073006C211yesmaximal, characteristic, complemented
11#13073000C211yesmaximal, characteristic, complemented
12#13072998C211yesmaximal, characteristic, complemented
13#13072868C211yesmaximal, characteristic
14#13072866C211yesmaximal, characteristic
15#13072860C211yesmaximal, characteristic
16#13072858C211yesmaximal, characteristic
17#13071917C211yesmaximal, characteristic, complemented
18#13071917C211yesmaximal, characteristic, complemented
19#13071916C211yesmaximal, characteristic, complemented
20#13071916C211yesmaximal, characteristic, complemented
21C4×#66951C211yesmaximal, characteristic, complemented
22C4×#66929C211yesmaximal, characteristic, complemented
23C4×#66932C211yesmaximal, characteristic, complemented
24#13071096C211yesmaximal, characteristic, complemented
25#13071096C211yesmaximal, characteristic, complemented
26#13071020C211yesmaximal, characteristic, complemented
27#13070997C211yesmaximal, characteristic
28#13070997C211yesmaximal, characteristic
29C4×#66925C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic
31C4×C11×#126C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic
34C2×#66951C2211yescharacteristic
35C2×C22⋊C4×D11C2211yescharacteristic
36C2×C22⋊C4×D11C2211yescharacteristic
37C2×#66932C2211yescharacteristic
38C2×#66929C2211yescharacteristic
39C2×#66925C2211yescharacteristic
40C2×#66925C2211yescharacteristic
41C2×#66925C2211yescharacteristic
42C2×#66925C2211yescharacteristic
43C2×C42×D11C2211yescharacteristic
44C2×C42×D11C2211yescharacteristic
45C11×#388C2211yescharacteristic
46C11×#388C2211yescharacteristic
47C11×#388C2211yescharacteristic
48C11×#387C2211yescharacteristic, complemented
49C11×#387C2211yescharacteristic, complemented
50C11×#387C2211yescharacteristic, complemented
51C11×#383C2211yescharacteristic, complemented
52C4×C11×C4⋊C4C2211yescharacteristic, complemented
53C4×C11×C4⋊C4C2211yescharacteristic, complemented
54C4×C11×C4⋊C4C2211yescharacteristic, complemented
55C4×C11×C22⋊C4C2211yescharacteristic
56C4×C11×C22⋊C4C2211yescharacteristic
57C4×C11×C22⋊C4C2211yescharacteristic
58C43×C11C2211yescharacteristic, complemented
59C4×C22⋊Dic11C2211yescharacteristic
60C4×C22⋊Dic11C2211yescharacteristic
61C4×C22⋊Dic11C2211yescharacteristic
62#10622607C2211yescharacteristic
63#10622607C2211yescharacteristic
64#10622606C2211yescharacteristic
65#10622606C2211yescharacteristic
66#10622603C2211yescharacteristic
67#10622602C2211yescharacteristic
68#10622602C2211yescharacteristic
69#10622602C2211yescharacteristic
70#10622602C2211yescharacteristic
71#10622600C2211yescharacteristic
72#10622600C2211yescharacteristic
73#10622599C2211yescharacteristic, complemented
74#10622599C2211yescharacteristic, complemented
75#10622595C2211yescharacteristic, complemented
76#10622595C2211yescharacteristic, complemented
77#10622594C2211yescharacteristic, complemented
78#10622591C2211yescharacteristic, complemented
79#10622589C2211yescharacteristic, complemented
80#10622589C2211yescharacteristic, complemented
81#10622585C2211yescharacteristic, complemented
82#10622585C2211yescharacteristic, complemented
83#10622585C2211yescharacteristic, complemented
84#10622585C2211yescharacteristic, complemented
85#10622568C2211yescharacteristic
86#10622568C2211yescharacteristic
87#10622568C2211yescharacteristic
88#10622568C2211yescharacteristic
89#10622566C2211yescharacteristic
90#10622566C2211yescharacteristic
91#10622565C2211yescharacteristic
92#10622565C2211yescharacteristic
93#10622565C2211yescharacteristic
94#10622565C2211yescharacteristic
95#10622564C2211yescharacteristic
96#10622561C2211yescharacteristic
97#10622561C2211yescharacteristic
98#10622558C2211yescharacteristic
99#10622557C2211yescharacteristic
100#10622555C2211yescharacteristic
101#10622555C2211yescharacteristic
102#10622555C2211yescharacteristic
103#10622555C2211yescharacteristic
104C22⋊C4×Dic11C2211yescharacteristic
105C22⋊C4×Dic11C2211yescharacteristic
106#10622553C2211yescharacteristic
107#10622553C2211yescharacteristic
108#10622553C2211yescharacteristic
109C4×(C2×D11)⋊C4C2211yescharacteristic
110C4×(C2×D11)⋊C4C2211yescharacteristic
111C4×(C2×D11)⋊C4C2211yescharacteristic
112C4×(C2×D11)⋊C4C2211yescharacteristic
113C4×(C2×D11)⋊C4C2211yescharacteristic
114C4×(C2×D11)⋊C4C2211yescharacteristic
115C4×(C2×D11)⋊C4C2211yescharacteristic
116C4×(C2×D11)⋊C4C2211yescharacteristic
117C4×(C2×D11)⋊C4C2211yescharacteristic
118C4×(C2×D11)⋊C4C2211yescharacteristic
119#10622550C2211yescharacteristic, complemented
120C4×C4⋊Dic11C2211yescharacteristic, complemented
121C4×C4⋊Dic11C2211yescharacteristic, complemented
122C4×C4⋊Dic11C2211yescharacteristic, complemented
123#10622546C2211yescharacteristic, complemented
124#10622546C2211yescharacteristic, complemented
125#10622546C2211yescharacteristic, complemented
126#10622545C2211yescharacteristic, complemented
127#10622545C2211yescharacteristic, complemented
128C4×Dic11⋊C4C2211yescharacteristic, complemented
129C4×Dic11⋊C4C2211yescharacteristic, complemented
130C4×Dic11⋊C4C2211yescharacteristic, complemented
131C4×Dic11⋊C4C2211yescharacteristic, complemented
132C4×Dic11⋊C4C2211yescharacteristic, complemented
133C4×Dic11⋊C4C2211yescharacteristic, complemented
134C4×Dic11⋊C4C2211yescharacteristic, complemented
135C4×Dic11⋊C4C2211yescharacteristic, complemented
136C4×Dic11⋊C4C2211yescharacteristic, complemented
137C4×Dic11⋊C4C2211yescharacteristic, complemented
138C42×Dic11C2211yescharacteristic, complemented
139#10622288C2211yescharacteristic
140#10622288C2211yescharacteristic
141#10622287C2211yescharacteristic
142#10622287C2211yescharacteristic
143#10622283C2211yescharacteristic
144#10622282C2211yescharacteristic
145#10622281C2211yescharacteristic
146#10622281C2211yescharacteristic
147#10622281C2211yescharacteristic
148#10622281C2211yescharacteristic
149#10622280C2211yescharacteristic
150#10622280C2211yescharacteristic
151#10622280C2211yescharacteristic
152#10622280C2211yescharacteristic
153#10622280C2211yescharacteristic
154#10622280C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622277C2211yescharacteristic
158#10622277C2211yescharacteristic
159#10622277C2211yescharacteristic
160#10622277C2211yescharacteristic
161D11×#95C2211yescharacteristic
162D11×#95C2211yescharacteristic
163C11⋊#401C2211yescharacteristic, complemented
164C11⋊#401C2211yescharacteristic, complemented
165C11⋊#401C2211yescharacteristic, complemented
166C11⋊#401C2211yescharacteristic, complemented
167#10622273C2211yescharacteristic, complemented
168#10622273C2211yescharacteristic, complemented
169#10622273C2211yescharacteristic, complemented
170#10622273C2211yescharacteristic, complemented
171#10622272C2211yescharacteristic, complemented
172#10622272C2211yescharacteristic, complemented
173#10622271C2211yescharacteristic, complemented
174#10622271C2211yescharacteristic, complemented
175#10622268C2211yescharacteristic, complemented
176#10622267C2211yescharacteristic, complemented
177#10622266C2211yescharacteristic, complemented
178#10622265C2211yescharacteristic, complemented
179#10622264C2211yescharacteristic, complemented
180#10622264C2211yescharacteristic, complemented
181#10622263C2211yescharacteristic, complemented
182#10622263C2211yescharacteristic, complemented
183#10622260C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622260C2211yescharacteristic, complemented
187C24×D11C2311yescharacteristic
188C23×C4×C11C2311yescharacteristic
189C23×Dic11C2311yescharacteristic
190C22×C4×D11—24no—
191C22×C4×D11—24no—
192C22×C4×D11—24no—
193C22×C4×D11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×C4×D11C2311yescharacteristic
196C22×C4×D11C2311yescharacteristic
197C22×C4×D11C2311yescharacteristic
198C22×C4×D11C2311yescharacteristic
199C22×C4×D11C2311yescharacteristic
200C22×C4×D11C2311yescharacteristic
201C11×#126—24no—
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C4⋊C4C2311yescharacteristic
206C2×C11×C4⋊C4C2311yescharacteristic
207C2×C11×C4⋊C4C2311yescharacteristic
208C2×C11×C22⋊C4C2311yescharacteristic
209C2×C11×C22⋊C4C2311yescharacteristic
210C2×C11×C22⋊C4C2311yescharacteristic
211C2×C11×C22⋊C4C2311yescharacteristic
212C2×C11×C22⋊C4C2311yescharacteristic
213C2×C11×C22⋊C4C2311yescharacteristic
214C2×C42×C11C2311yescharacteristic
215C2×C42×C11C2311yescharacteristic
216C2×C42×C11C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2311yescharacteristic
222C2×C42×C11C2311yescharacteristic
223C2×C42×C11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×(C2×D11)⋊C4C2311yescharacteristic
231C2×(C2×D11)⋊C4C2311yescharacteristic
232C2×(C2×D11)⋊C4C2311yescharacteristic
233C2×(C2×D11)⋊C4C2311yescharacteristic
234C2×(C2×D11)⋊C4C2311yescharacteristic
235C2×(C2×D11)⋊C4C2311yescharacteristic
236C2×(C2×D11)⋊C4C2311yescharacteristic
237C2×(C2×D11)⋊C4C2311yescharacteristic
238C2×(C2×D11)⋊C4C2311yescharacteristic
239C2×(C2×D11)⋊C4C2311yescharacteristic
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×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×Dic11⋊C4C2311yescharacteristic
257C2×Dic11⋊C4C2311yescharacteristic
258C2×Dic11⋊C4C2311yescharacteristic
259C2×Dic11⋊C4C2311yescharacteristic
260C2×Dic11⋊C4C2311yescharacteristic
261C2×Dic11⋊C4C2311yescharacteristic
262C2×Dic11⋊C4C2311yescharacteristic
263C2×Dic11⋊C4C2311yescharacteristic
264C2×Dic11⋊C4C2311yescharacteristic
265C2×Dic11⋊C4C2311yescharacteristic
266C2×Dic11⋊C4C2311yescharacteristic
267C2×Dic11⋊C4C2311yescharacteristic
268C2×Dic11⋊C4C2311yescharacteristic
269C2×Dic11⋊C4C2311yescharacteristic
270C2×Dic11⋊C4C2311yescharacteristic
271C2×Dic11⋊C4C2311yescharacteristic
272C2×Dic11⋊C4C2311yescharacteristic
273C2×Dic11⋊C4C2311yescharacteristic
274C2×Dic11⋊C4C2311yescharacteristic
275C2×Dic11⋊C4C2311yescharacteristic
276C2×C4×Dic11C2311yescharacteristic
277C2×C4×Dic11C2311yescharacteristic
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2311yescharacteristic
280C2×C4×Dic11C2311yescharacteristic
281C2×C4×Dic11C2311yescharacteristic
282C2×C4×Dic11C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×C4×Dic11C2311yescharacteristic
285C2×C4×Dic11C2311yescharacteristic
286C2×C4×Dic11C2311yescharacteristic
287C2×C4×Dic11C2311yescharacteristic
288C2×C4×Dic11C2311yescharacteristic
289C2×C4×Dic11C2311yescharacteristic
290#66951—24no—
291C22⋊C4×D11—24no—
292C22⋊C4×D11—24no—
293#66932—24no—
294#66929—24no—
295#66925—24no—
296#66925—24no—
297#66925—24no—
298#66925—24no—
299C42×D11—24no—
300C42×D11—24no—
301C11×#95C2311yescharacteristic
302C11×#95C2311yescharacteristic
303C11×#95C2311yescharacteristic
304C11×#95C2311yescharacteristic
305C11×#95C2311yescharacteristic
306C11×#95C2311yescharacteristic
307C11×#95C2311yescharacteristic
308C11×#95C2311yescharacteristic
309C11×#95C2311yescharacteristic
310C11×#95C2311yescharacteristic
311C11×#95C2311yescharacteristic
312C11×#95C2311yescharacteristic
313C11⋊#95C2311yescharacteristic
314C11⋊#95C2311yescharacteristic
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#34814—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C23×D11—22no—
360C23×D11—22no—
361C23×D11—22no—
362C23×D11—22no—
363C23×D11—22no—
364C23×D11—41no—
365C23×D11—41no—
366C23×D11C2411yescharacteristic
367C23×D11C2411yescharacteristic
368C22×C4×C11—22no—
369C22×C4×C11—22no—
370C22×C4×C11—22no—
371C22×C4×C11C2411yescharacteristic
372C22×C4×C11C2411yescharacteristic
373C22×C4×C11C2411yescharacteristic
374C22×C4×C11C2411yescharacteristic
375C22×C4×C11C2411yescharacteristic
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×Dic11—22no—
386C22×Dic11—22no—
387C22×Dic11—22no—
388C22×Dic11C2411yescharacteristic
389C22×Dic11C2411yescharacteristic
390C22×Dic11C2411yescharacteristic
391C22×Dic11C2411yescharacteristic
392C22×Dic11C2411yescharacteristic
393C22×Dic11C2411yescharacteristic
394C22×Dic11C2411yescharacteristic
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C2×C4×D11—22no—
403C2×C4×D11—22no—
404C2×C4×D11—22no—
405C2×C4×D11—22no—
406C2×C4×D11—22no—
407C2×C4×D11—22no—
408C2×C4×D11—22no—
409C2×C4×D11—22no—
410C2×C4×D11—22no—
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×C4×D11—22no—
414C2×C4×D11—22no—
415C2×C4×D11—22no—
416C2×C4×D11—22no—
417C2×C4×D11—22no—
418C2×C4×D11—22no—
419C2×C4×D11—41no—
420C2×C4×D11—41no—
421C2×C4×D11—41no—
422C2×C4×D11—41no—
423C2×C4×D11—416no—
424C2×C4×D11#4114yes—
425C2×C4×D11#4114yes—
426C2×C4×D11#4114yes—
427C11×C4⋊C4—22no—
428C11×C4⋊C4—22no—
429C11×C4⋊C4—22no—
430C11×C4⋊C4—22no—
431C11×C4⋊C4—41no—
432C11×C4⋊C4—41no—
433C11×C22⋊C4—22no—
434C11×C22⋊C4—22no—
435C11×C22⋊C4—22no—
436C11×C22⋊C4—41no—
437C11×C22⋊C4—41no—
438C11×C22⋊C4#4114yes—
439C42×C11—22no—
440C42×C11—22no—
441C42×C11—22no—
442C42×C11—22no—
443C42×C11—22no—
444C42×C11—22no—
445C42×C11—22no—
446C42×C11—22no—
447C42×C11—41no—
448C42×C11—41no—
449C22⋊Dic11—22no—
450C22⋊Dic11—22no—
451C22⋊Dic11—22no—
452C22⋊Dic11—22no—
453C22⋊Dic11—41no—
454C22⋊Dic11—41no—
455(C2×D11)⋊C4—22no—
456(C2×D11)⋊C4—22no—
457(C2×D11)⋊C4—22no—
458(C2×D11)⋊C4—22no—
459(C2×D11)⋊C4—22no—
460(C2×D11)⋊C4—22no—
461(C2×D11)⋊C4—22no—
462(C2×D11)⋊C4—22no—
463(C2×D11)⋊C4—22no—
464(C2×D11)⋊C4—22no—
465(C2×D11)⋊C4—22no—
466(C2×D11)⋊C4—22no—
467(C2×D11)⋊C4—22no—
468(C2×D11)⋊C4—22no—
469(C2×D11)⋊C4—22no—
470(C2×D11)⋊C4—41no—
471(C2×D11)⋊C4—41no—
472(C2×D11)⋊C4—41no—
473(C2×D11)⋊C4—41no—
474(C2×D11)⋊C4#4114yes—
475C4⋊Dic11—22no—
476C4⋊Dic11—22no—
477C4⋊Dic11—41no—
478C4⋊Dic11—41no—
479C4⋊Dic11—41no—
480C4⋊Dic11—41no—
481Dic11⋊C4—22no—
482Dic11⋊C4—22no—
483Dic11⋊C4—22no—
484Dic11⋊C4—22no—
485Dic11⋊C4—22no—
486Dic11⋊C4—22no—
487Dic11⋊C4—22no—
488Dic11⋊C4—22no—
489Dic11⋊C4—22no—
490Dic11⋊C4—22no—
491Dic11⋊C4—22no—
492Dic11⋊C4—22no—
493Dic11⋊C4—22no—
494Dic11⋊C4—22no—
495Dic11⋊C4—41no—
496Dic11⋊C4—41no—
497Dic11⋊C4—41no—
498Dic11⋊C4—41no—
499Dic11⋊C4—41no—
500Dic11⋊C4—41no—
501C4×Dic11—22no—
502C4×Dic11—22no—
503C4×Dic11—22no—
504C4×Dic11—22no—
505C4×Dic11—22no—
506C4×Dic11—22no—
507C4×Dic11—22no—
508C4×Dic11—22no—
509C4×Dic11—22no—
510C4×Dic11—22no—
511C4×Dic11—22no—
512C4×Dic11—22no—
513C4×Dic11—41no—
514C4×Dic11—41no—
515#2497—111no—
516#2497—111no—
517#2496—111no—
518#2496—111no—
519#2495—111no—
520#2495—111no—
521#2494—111no—
522#2494—111no—
523#2493—111no—
524#2493—111no—
525#2493—111no—
526#2493—111no—
527#2480—111no—
528#2480—111no—
529#2480—111no—
530#2480—111no—
531#2401—111no—
532#2401—111no—
533#2401—111no—
534#2401—111no—
535C4×#126—111no—
536C4×#126—111no—
537C4×#126—111no—
538C4×#126D1111yescharacteristic, complemented
539#2296—111no—
540#2296—111no—
541#2285—111no—
542#2280—111no—
543#2280—111no—
544C4×#117—111no—
545C2×C4×C22⋊C4—111no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11—21no—
551C23×C11—21no—
552C23×C11C2×#4112yes—
553C23×C11C2511yescharacteristic
554C22×D11—21no—
555C22×D11—21no—
556C22×D11—21no—
557C22×D11—21no—
558C22×D11—28no—
559C22×D11—21no—
560C22×D11—21no—
561C22×D11—21no—
562C22×D11—21no—
563C22×D11—21no—
564C22×D11—21no—
565C22×D11—44no—
566C22×D11—44no—
567C22×D11—44no—
568C22×D11—44no—
569C22×D11—44no—
570C22×D11—44no—
571C22×D11C2×#4112yes—
572C22×D11C2×#4112yes—
573C22×D11C2×#4112yes—
574C22×D11C2×#4112yes—
575C2×C4×C11—21no—
576C2×C4×C11—21no—
577C2×C4×C11—21no—
578C2×C4×C11—21no—
579C2×C4×C11—21no—
580C2×C4×C11—21no—
581C2×C4×C11—21no—
582C2×C4×C11—21no—
583C2×C4×C11—21no—
584C2×C4×C11—21no—
585C2×C4×C11—21no—
586C2×C4×C11—21no—
587C2×C4×C11—21no—
588C2×C4×C11—21no—
589C2×C4×C11—21no—
590C2×C4×C11—21no—
591C2×C4×C11—21no—
592C2×C4×C11—21no—
593C2×C4×C11—21no—
594C2×C4×C11—21no—
595C2×C4×C11—21no—
596C2×C4×C11—21no—
597C2×C4×C11—21no—
598C2×C4×C11—21no—
599C2×C4×C11—21no—
600C2×C4×C11—21no—
601C2×C4×C11—21no—
602C2×C4×C11—21no—
603C2×C4×C11—21no—
604C2×C4×C11—21no—
605C2×C4×C11—21no—
606C2×C4×C11—21no—
607C2×C4×C11—21no—
608C2×C4×C11—21no—
609C2×C4×C11—21no—
610C2×C4×C11—21no—
611C2×C4×C11—44no—
612C2×C4×C11C2×#4112yes—
613C2×C4×C11C2×#4112yes—
614C2×C4×C11C2×#4112yes—
615C2×C4×C11C2×#4112yes—
616C2×C4×C11C2×#4112yes—
617C2×C4×C11C2×#4112yes—
618C2×Dic11—21no—
619C2×Dic11—21no—
620C2×Dic11—21no—
621C2×Dic11—21no—
622C2×Dic11—21no—
623C2×Dic11—21no—
624C2×Dic11—21no—
625C2×Dic11—21no—
626C2×Dic11—21no—
627C2×Dic11—21no—
628C2×Dic11—21no—
629C2×Dic11—21no—
630C2×Dic11—21no—
631C2×Dic11—21no—
632C2×Dic11—21no—
633C2×Dic11—21no—
634C2×Dic11—21no—
635C2×Dic11—21no—
636C2×Dic11—21no—
637C2×Dic11—21no—
638C2×Dic11—21no—
639C2×Dic11—21no—
640C2×Dic11—21no—
641C2×Dic11—21no—
642C2×Dic11—21no—
643C2×Dic11—21no—
644C2×Dic11—21no—
645C2×Dic11—21no—
646C2×Dic11—21no—
647C2×Dic11—21no—
648C2×Dic11—21no—
649C2×Dic11—21no—
650C2×Dic11—21no—
651C2×Dic11—21no—
652C2×Dic11—21no—
653C2×Dic11—21no—
654C2×Dic11—21no—
655C2×Dic11—21no—
656C2×Dic11—44no—
657C2×Dic11C2×#4112yes—
658C2×Dic11C2×#4112yes—
659C2×Dic11C2×#4112yes—
660C2×Dic11C2×#4112yes—
661C4×D11—44no—
662C4×D11—44no—
663C4×D11—44no—
664C4×D11—44no—
665C4×D11—44no—
666C4×D11—44no—
667C4×D11—44no—
668C4×D11#126116yescomplemented
669C24×C4—111no—
670C2×#126—111no—
671C2×#126—111no—
672C2×#126—111no—
673C2×#126C2×D1111yescharacteristic
674C2×#117—111no—
675C2×#117—111no—
676C2×#117—111no—
677C2×#117—111no—
678C22×C22⋊C4—111no—
679C22×C22⋊C4—111no—
680C22×C42—111no—
681C22×C42—111no—
682#401—111no—
683#401—111no—
684#401—111no—
685#401—111no—
686#400—111no—
687#400—111no—
688#400—111no—
689#400—111no—
690#400—111no—
691#400—111no—
692#400—111no—
693#400—111no—
694#400—111no—
695#400—111no—
696#400—111no—
697#400—111no—
698#397—111no—
699#397—111no—
700#397—111no—
701#397—111no—
702#397—111no—
703#397—111no—
704#397—111no—
705#397—111no—
706#397—111no—
707#397—111no—
708#397—111no—
709#397—111no—
710#396—111no—
711#396—111no—
712#396—111no—
713#396—111no—
714#389—111no—
715#389—111no—
716#389—111no—
717#389—111no—
718#389—111no—
719#389—111no—
720#389—111no—
721#389—111no—
722#388—111no—
723#388—111no—
724#388—111no—
725#388—111no—
726#388—111no—
727#388—111no—
728#388—111no—
729#388—111no—
730#388—111no—
731#388C2×D1111yescharacteristic
732#388C2×D1111yescharacteristic
733#388C2×D1111yescharacteristic
734#387—111no—
735#387—111no—
736#387—111no—
737#387—111no—
738#387—111no—
739#387—111no—
740#387—111no—
741#387—111no—
742#387—111no—
743#387C2×D1111yescharacteristic, complemented
744#387C2×D1111yescharacteristic, complemented
745#387C2×D1111yescharacteristic, complemented
746#385—111no—
747#385—111no—
748#385—111no—
749#385—111no—
750#385—111no—
751#385—111no—
752#385—111no—
753#385—111no—
754#384—111no—
755#384—111no—
756#383—111no—
757#383—111no—
758#383—111no—
759#383C2×D1111yescharacteristic, complemented
760#382—111no—
761#382—111no—
762#381—111no—
763#381—111no—
764#381—111no—
765#381—111no—
766#380—111no—
767#380—111no—
768#380—111no—
769#380—111no—
770#380—111no—
771#380—111no—
772#380—111no—
773#380—111no—
774#380—111no—
775#380—111no—
776#380—111no—
777#380—111no—
778#379—111no—
779#379—111no—
780#379—111no—
781#379—111no—
782C4×C4⋊C4—111no—
783C4×C4⋊C4—111no—
784C4×C4⋊C4—111no—
785C4×C4⋊C4—111no—
786C4×C4⋊C4—111no—
787C4×C4⋊C4—111no—
788C4×C4⋊C4—111no—
789C4×C4⋊C4—111no—
790C4×C4⋊C4—111no—
791C4×C4⋊C4—111no—
792C4×C4⋊C4—111no—
793C4×C4⋊C4—111no—
794C4×C4⋊C4—111no—
795C4×C4⋊C4C2×D1111yescharacteristic, complemented
796C4×C4⋊C4C2×D1111yescharacteristic, complemented
797C4×C4⋊C4C2×D1111yescharacteristic, complemented
798C4×C22⋊C4—111no—
799C4×C22⋊C4—111no—
800C4×C22⋊C4—111no—
801C4×C22⋊C4—111no—
802C4×C22⋊C4—111no—
803C4×C22⋊C4—111no—
804C4×C22⋊C4—111no—
805C4×C22⋊C4—111no—
806C4×C22⋊C4—111no—
807C4×C22⋊C4—111no—
808C4×C22⋊C4—111no—
809C4×C22⋊C4—111no—
810C4×C22⋊C4—111no—
811C4×C22⋊C4—111no—
812C4×C22⋊C4—111no—
813C4×C22⋊C4—111no—
814C4×C22⋊C4—111no—
815C4×C22⋊C4C2×D1111yescharacteristic
816C4×C22⋊C4C2×D1111yescharacteristic
817C4×C22⋊C4C2×D1111yescharacteristic
818#376—111no—
819#376—111no—
820C2×#95—111no—
821C2×#95—111no—
822C43—111no—
823C43C2×D1111yescharacteristic, complemented
824C22×C11—22no—
825C22×C11—22no—
826C22×C11—22no—
827C22×C11—41no—
828C22×C11—41no—
829C22×C11—41no—
830C22×C11—41no—
831C22×C11C22×#4111yescharacteristic
832C22×C11C22×#4111yescharacteristic
833C22×C11C22×#4111yescharacteristic
834C22×C11C22×#4111yescharacteristic
835C22×C11C22×#4111yescharacteristic
836C22×C11#58511yescharacteristic
837C22×C11#58511yescharacteristic
838C2×D11—22no—
839C2×D11—22no—
840C2×D11—22no—
841C2×D11—22no—
842C2×D11—22no—
843C2×D11—22no—
844C2×D11—22no—
845C2×D11—22no—
846C2×D11—22no—
847C2×D11—416no—
848C2×D11—41no—
849C2×D11—41no—
850C2×D11—41no—
851C2×D11—41no—
852C2×D11C2×#12614yes—
853C4×C11—22no—
854C4×C11—22no—
855C4×C11—22no—
856C4×C11—41no—
857C4×C11—41no—
858C4×C11—41no—
859C4×C11—41no—
860C4×C11—41no—
861C4×C11—41no—
862C4×C11—41no—
863C4×C11—41no—
864C4×C11—41no—
865C4×C11—41no—
866C4×C11C2×#12614yes—
867Dic11—22no—
868Dic11—41no—
869Dic11—41no—
870Dic11—41no—
871Dic11—41no—
872Dic11—41no—
873Dic11—41no—
874Dic11—41no—
875Dic11—41no—
876Dic11—41no—
877Dic11—41no—
878Dic11—41no—
879Dic11—41no—
880Dic11C2×#12614yes—
881C25—111no—
882C23×C4—111no—
883C23×C4—111no—
884C23×C4—111no—
885C23×C4—111no—
886C23×C4—111no—
887C23×C4—111no—
888C23×C4—111no—
889C23×C4—111no—
890C23×C4—111no—
891C23×C4—224no—
892C23×C4—224no—
893C23×C4—224no—
894C23×C4C22×D1111yescharacteristic
895#126—24no—
896#126—224no—
897#126—224no—
898#126—224no—
899#117—224no—
900#117—224no—
901#117—224no—
902#117—224no—
903C2×C4⋊C4—111no—
904C2×C4⋊C4—111no—
905C2×C4⋊C4—111no—
906C2×C4⋊C4—111no—
907C2×C4⋊C4—111no—
908C2×C4⋊C4—111no—
909C2×C4⋊C4—111no—
910C2×C4⋊C4—111no—
911C2×C4⋊C4—111no—
912C2×C4⋊C4—111no—
913C2×C4⋊C4—111no—
914C2×C4⋊C4—111no—
915C2×C4⋊C4—111no—
916C2×C4⋊C4—111no—
917C2×C4⋊C4—111no—
918C2×C4⋊C4—111no—
919C2×C4⋊C4—111no—
920C2×C4⋊C4—111no—
921C2×C4⋊C4—111no—
922C2×C4⋊C4—111no—
923C2×C4⋊C4—111no—
924C2×C4⋊C4—111no—
925C2×C4⋊C4—111no—
926C2×C4⋊C4—111no—
927C2×C4⋊C4—111no—
928C2×C4⋊C4—111no—
929C2×C4⋊C4C22×D1111yescharacteristic
930C2×C4⋊C4C22×D1111yescharacteristic
931C2×C4⋊C4C22×D1111yescharacteristic
932C2×C4⋊C4C22×D1111yescharacteristic
933C2×C4⋊C4C22×D1111yescharacteristic
934C2×C4⋊C4C22×D1111yescharacteristic
935C2×C22⋊C4—111no—
936C2×C22⋊C4—111no—
937C2×C22⋊C4—111no—
938C2×C22⋊C4—111no—
939C2×C22⋊C4—111no—
940C2×C22⋊C4—111no—
941C2×C22⋊C4—111no—
942C2×C22⋊C4—111no—
943C2×C22⋊C4—111no—
944C2×C22⋊C4—111no—
945C2×C22⋊C4—111no—
946C2×C22⋊C4—111no—
947C2×C22⋊C4—111no—
948C2×C22⋊C4—111no—
949C2×C22⋊C4—111no—
950C2×C22⋊C4—111no—
951C2×C22⋊C4—111no—
952C2×C22⋊C4—111no—
953C2×C22⋊C4—111no—
954C2×C22⋊C4—111no—
955C2×C22⋊C4—111no—
956C2×C22⋊C4—111no—
957C2×C22⋊C4—111no—
958C2×C22⋊C4—111no—
959C2×C22⋊C4—111no—
960C2×C22⋊C4—111no—
961C2×C22⋊C4—224no—
962C2×C22⋊C4—224no—
963C2×C22⋊C4C22×D1111yescharacteristic
964C2×C22⋊C4C22×D1111yescharacteristic
965C2×C22⋊C4C22×D1111yescharacteristic
966C2×C22⋊C4C22×D1111yescharacteristic
967C2×C22⋊C4C22×D1111yescharacteristic
968C2×C22⋊C4C22×D1111yescharacteristic
969C2×C42—111no—
970C2×C42—111no—
971C2×C42—111no—
972C2×C42—111no—
973C2×C42—111no—
974C2×C42—111no—
975C2×C42—111no—
976C2×C42—111no—
977C2×C42—111no—
978C2×C42—111no—
979C2×C42—111no—
980C2×C42—111no—
981C2×C42—111no—
982C2×C42—111no—
983C2×C42—224no—
984C2×C42—224no—
985C2×C42C22×D1111yescharacteristic
986C2×C42C22×D1111yescharacteristic
987C2×C42C22×D1111yescharacteristic
988C2×C42C22×D1111yescharacteristic
989C2×C42C22×D1111yescharacteristic
990C2×C42C22×D1111yescharacteristic
991C2×C42C22×D1111yescharacteristic
992C2×C42C22×D1111yescharacteristic
993C2×C42C22×D1111yescharacteristic
994C2×C42C22×D1111yescharacteristic
995#95—111no—
996#95—111no—
997#95—111no—
998#95—111no—
999#95—111no—
1000#95—111no—
1001#95—111no—
1002#95—111no—
1003#95—111no—
1004#95—111no—
1005#95—111no—
1006#95—111no—
1007#95—111no—
1008#95—111no—
1009#95—111no—
1010#95—111no—
1011#95—111no—
1012#95—111no—
1013#95—111no—
1014#95—111no—
1015#95—111no—
1016#95—111no—
1017#95—111no—
1018#95—111no—
1019#95—111no—
1020#95—111no—
1021#95—111no—
1022#95—111no—
1023#95—111no—
1024#95—111no—
1025#95—111no—
1026#95—111no—
1027#95—111no—
1028#95—111no—
1029#95—111no—
1030#95—111no—
1031#95—111no—
1032#95—111no—
1033#95—111no—
1034#95—111no—
1035#95—111no—
1036#95—111no—
1037#95—111no—
1038#95—111no—
1039#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041#95C22×D1111yescharacteristic
1042#95C22×D1111yescharacteristic
1043#95C22×D1111yescharacteristic
1044#95C22×D1111yescharacteristic
1045#95C22×D1111yescharacteristic
1046#95C22×D1111yescharacteristic
1047#95C22×D1111yescharacteristic
1048#95C22×D1111yescharacteristic
1049#95C22×D1111yescharacteristic
1050#95C22×D1111yescharacteristic
1051C2×C11—42no—
1052C2×C11C22×#12611yescharacteristic
1053C2×C11#344411yescharacteristic
1054C2×C11#345511yescharacteristic
1055C2×C11#347511yescharacteristic
1056C2×C11#347511yescharacteristic
1057C2×C11#347511yescharacteristic
1058C2×C11#347511yescharacteristic
1059D11—24no—
1060D11—42no—
1061C24—111no—
1062C24—111no—
1063C24—222no—
1064C24—222no—
1065C24—222no—
1066C24—222no—
1067C24—222no—
1068C24—441no—
1069C24—441no—
1070C24C23×D1111yescharacteristic
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—111no—
1075C22×C4—114no—
1076C22×C4—114no—
1077C22×C4—114no—
1078C22×C4—111no—
1079C22×C4—111no—
1080C22×C4—111no—
1081C22×C4—111no—
1082C22×C4—111no—
1083C22×C4—111no—
1084C22×C4—111no—
1085C22×C4—111no—
1086C22×C4—111no—
1087C22×C4—111no—
1088C22×C4—111no—
1089C22×C4—111no—
1090C22×C4—111no—
1091C22×C4—222no—
1092C22×C4—222no—
1093C22×C4—222no—
1094C22×C4—222no—
1095C22×C4—222no—
1096C22×C4—222no—
1097C22×C4—222no—
1098C22×C4—222no—
1099C22×C4—222no—
1100C22×C4—222no—
1101C22×C4—222no—
1102C22×C4—222no—
1103C22×C4—222no—
1104C22×C4—222no—
1105C22×C4—222no—
1106C22×C4—222no—
1107C22×C4—222no—
1108C22×C4—222no—
1109C22×C4—222no—
1110C22×C4—222no—
1111C22×C4—441no—
1112C22×C4—441no—
1113C22×C4—441no—
1114C22×C4—441no—
1115C22×C4—4416no—
1116C22×C4C23×D1111yescharacteristic
1117C22×C4C23×D1111yescharacteristic
1118C22×C4C23×D1111yescharacteristic
1119C22×C4C23×D1111yescharacteristic
1120C22×C4C23×D1111yescharacteristic
1121C22×C4C23×D1111yescharacteristic
1122C22×C4C23×D1111yescharacteristic
1123C22×C4C23×D1111yescharacteristic
1124C22×C4C23×D1111yescharacteristic
1125C22×C4C23×D1111yescharacteristic
1126C22×C4C23×D1111yescharacteristic
1127C22×C4C23×D1111yescharacteristic
1128C22×C4C23×D1111yescharacteristic
1129C22×C4C23×D1111yescharacteristic
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—22no—
1134C4⋊C4—41no—
1135C4⋊C4—41no—
1136C4⋊C4—222no—
1137C4⋊C4—222no—
1138C4⋊C4—222no—
1139C4⋊C4—222no—
1140C4⋊C4—222no—
1141C4⋊C4—222no—
1142C4⋊C4—222no—
1143C4⋊C4—222no—
1144C4⋊C4—222no—
1145C4⋊C4—222no—
1146C4⋊C4—222no—
1147C4⋊C4—222no—
1148C4⋊C4—222no—
1149C4⋊C4—222no—
1150C4⋊C4—222no—
1151C4⋊C4—222no—
1152C4⋊C4—441no—
1153C4⋊C4—441no—
1154C4⋊C4—441no—
1155C4⋊C4—441no—
1156C4⋊C4—441no—
1157C4⋊C4—441no—
1158C4⋊C4—441no—
1159C4⋊C4—441no—
1160C4⋊C4—441no—
1161C4⋊C4—441no—
1162C22⋊C4—22no—
1163C22⋊C4—22no—
1164C22⋊C4—22no—
1165C22⋊C4—41no—
1166C22⋊C4—41no—
1167C22⋊C4—114no—
1168C22⋊C4—222no—
1169C22⋊C4—222no—
1170C22⋊C4—222no—
1171C22⋊C4—222no—
1172C22⋊C4—222no—
1173C22⋊C4—222no—
1174C22⋊C4—222no—
1175C22⋊C4—222no—
1176C22⋊C4—222no—
1177C22⋊C4—222no—
1178C22⋊C4—222no—
1179C22⋊C4—222no—
1180C22⋊C4—222no—
1181C22⋊C4—222no—
1182C22⋊C4—222no—
1183C22⋊C4—222no—
1184C22⋊C4—222no—
1185C22⋊C4—222no—
1186C22⋊C4—222no—
1187C22⋊C4—441no—
1188C22⋊C4—441no—
1189C22⋊C4—441no—
1190C22⋊C4—441no—
1191C22⋊C4—441no—
1192C22⋊C4—441no—
1193C22⋊C4#433914yes—
1194C42—22no—
1195C42—22no—
1196C42—22no—
1197C42—22no—
1198C42—22no—
1199C42—22no—
1200C42—22no—
1201C42—22no—
1202C42—41no—
1203C42—41no—
1204C42—222no—
1205C42—222no—
1206C42—222no—
1207C42—222no—
1208C42—222no—
1209C42—222no—
1210C42—222no—
1211C42—222no—
1212C42—222no—
1213C42—222no—
1214C42—222no—
1215C42—222no—
1216C42—441no—
1217C42—441no—
1218C11#3481411yescharacteristic, complemented, Sylow
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—112no—
1226C23—112no—
1227C23—112no—
1228C23—112no—
1229C23—228no—
1230C23—221no—
1231C23—221no—
1232C23—221no—
1233C23—221no—
1234C23—221no—
1235C23—221no—
1236C23—221no—
1237C23—221no—
1238C23—221no—
1239C23—221no—
1240C23—444no—
1241C23—444no—
1242C23—444no—
1243C23—444no—
1244C23—444no—
1245C23—444no—
1246C23C2×#433912yes—
1247C23C24×D1111yescharacteristic
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—44no—
1285C2×C4—112no—
1286C2×C4—112no—
1287C2×C4—112no—
1288C2×C4—1116no—
1289C2×C4—112no—
1290C2×C4—221no—
1291C2×C4—221no—
1292C2×C4—221no—
1293C2×C4—221no—
1294C2×C4—221no—
1295C2×C4—221no—
1296C2×C4—221no—
1297C2×C4—221no—
1298C2×C4—221no—
1299C2×C4—221no—
1300C2×C4—221no—
1301C2×C4—221no—
1302C2×C4—221no—
1303C2×C4—221no—
1304C2×C4—221no—
1305C2×C4—221no—
1306C2×C4—221no—
1307C2×C4—221no—
1308C2×C4—221no—
1309C2×C4—221no—
1310C2×C4—221no—
1311C2×C4—221no—
1312C2×C4—221no—
1313C2×C4—221no—
1314C2×C4—221no—
1315C2×C4—221no—
1316C2×C4—221no—
1317C2×C4—221no—
1318C2×C4—221no—
1319C2×C4—221no—
1320C2×C4—221no—
1321C2×C4—221no—
1322C2×C4—221no—
1323C2×C4—221no—
1324C2×C4—221no—
1325C2×C4—221no—
1326C2×C4—221no—
1327C2×C4—221no—
1328C2×C4—444no—
1329C2×C4—444no—
1330C2×C4—444no—
1331C2×C4—444no—
1332C2×C4—444no—
1333C2×C4—444no—
1334C2×C4—444no—
1335C2×C4—444no—
1336C2×C4C2×#433912yes—
1337C2×C4C2×#433912yes—
1338C2×C4#41×D1112yes—
1339C2×C4#41×D1112yes—
1340C2×C4#41×D1112yes—
1341C2×C4#41×D1112yes—
1342C22—22no—
1343C22—22no—
1344C22—22no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—114no—
1350C22—222no—
1351C22—222no—
1352C22—222no—
1353C22—222no—
1354C22—222no—
1355C22—222no—
1356C22—222no—
1357C22—222no—
1358C22—222no—
1359C22—4416no—
1360C22—441no—
1361C22—441no—
1362C22—441no—
1363C22—441no—
1364C22C22×#433911yescharacteristic
1365C22C2×#41×D1111yescharacteristic
1366C22C2×#41×D1111yescharacteristic
1367C22C2×#41×D1111yescharacteristic
1368C22C2×#41×D1111yescharacteristic
1369C22#1062345311yescharacteristic
1370C22#1062345311yescharacteristic
1371C4—22no—
1372C4—22no—
1373C4—22no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—114no—
1385C4—222no—
1386C4—441no—
1387C4—441no—
1388C4—441no—
1389C4—441no—
1390C4—441no—
1391C4—441no—
1392C4—441no—
1393C4—441no—
1394C4—441no—
1395C4—441no—
1396C4—441no—
1397C4—441no—
1398C4D11×#12614yes—
1399C2—42no—
1400C2—224no—
1401C2—442no—
1402C2C2×D11×#12611yescharacteristic
1403C2#1308190911yescharacteristic
1404C2#1308199911yescharacteristic
1405C2#1308216811yescharacteristic
1406C2#1308217211yescharacteristic
1407C2#1308217811yescharacteristic
1408C2#1308217811yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC4×C11×#126C2
prime radicalC24×D11C23
hypercenterC4×#126D11
hypocenterC11#34814
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#126

Complements

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

NH ≅ G/Ntype
1. #13073048C2semidirect
2. #13073046C2semidirect
3. #13073037C2semidirect
4. #13073035C2semidirect
5. #13073026C2semidirect
6. #13073024C2semidirect
7. #13073015C2semidirect
8. #13073013C2semidirect
9. #13073008C2semidirect
10. #13073006C2semidirect
11. #13073000C2semidirect
12. #13072998C2semidirect
17. #13071917C2semidirect
18. #13071917C2semidirect
19. #13071916C2semidirect
20. #13071916C2semidirect
21. C4×#66951C2semidirect
22. C4×#66929C2semidirect
23. C4×#66932C2semidirect
24. #13071096C2semidirect
25. #13071096C2semidirect
26. #13071020C2semidirect
29. C4×#66925C2semidirect
31. C4×C11×#126C2semidirect
48. C11×#387C22semidirect
49. C11×#387C22semidirect
50. C11×#387C22semidirect
51. C11×#383C22semidirect
52. C4×C11×C4⋊C4C22semidirect
53. C4×C11×C4⋊C4C22semidirect
54. C4×C11×C4⋊C4C22semidirect
58. C43×C11C22semidirect
73. #10622599C22semidirect
74. #10622599C22semidirect
75. #10622595C22semidirect
76. #10622595C22semidirect
77. #10622594C22semidirect
78. #10622591C22semidirect
79. #10622589C22semidirect
80. #10622589C22semidirect
81. #10622585C22semidirect
82. #10622585C22semidirect
83. #10622585C22semidirect
84. #10622585C22semidirect
119. #10622550C22semidirect
120. C4×C4⋊Dic11C22semidirect
121. C4×C4⋊Dic11C22semidirect
122. C4×C4⋊Dic11C22semidirect
123. #10622546C22semidirect
124. #10622546C22semidirect
125. #10622546C22semidirect
126. #10622545C22semidirect
127. #10622545C22semidirect
128. C4×Dic11⋊C4C22semidirect
129. C4×Dic11⋊C4C22semidirect
130. C4×Dic11⋊C4C22semidirect
131. C4×Dic11⋊C4C22semidirect
132. C4×Dic11⋊C4C22semidirect
133. C4×Dic11⋊C4C22semidirect
134. C4×Dic11⋊C4C22semidirect
135. C4×Dic11⋊C4C22semidirect
136. C4×Dic11⋊C4C22semidirect
137. C4×Dic11⋊C4C22semidirect
138. C42×Dic11C22semidirect
163. C11⋊#401C22semidirect
164. C11⋊#401C22semidirect
165. C11⋊#401C22semidirect
166. C11⋊#401C22semidirect
167. #10622273C22semidirect
168. #10622273C22semidirect
169. #10622273C22semidirect
170. #10622273C22semidirect
171. #10622272C22semidirect
172. #10622272C22semidirect
173. #10622271C22semidirect
174. #10622271C22semidirect
175. #10622268C22semidirect
176. #10622267C22semidirect
177. #10622266C22semidirect
178. #10622265C22semidirect
179. #10622264C22semidirect
180. #10622264C22semidirect
181. #10622263C22semidirect
182. #10622263C22semidirect
183. #10622260C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622260C22semidirect
538. C4×#126D11semidirect
668. C4×D11#126semidirect
743. #387C2×D11semidirect
744. #387C2×D11semidirect
745. #387C2×D11semidirect
759. #383C2×D11semidirect
795. C4×C4⋊C4C2×D11semidirect
796. C4×C4⋊C4C2×D11semidirect
797. C4×C4⋊C4C2×D11semidirect
823. C43C2×D11semidirect
1218. C11#34814semidirect

Maximal subgroups

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

subgroupindex
#130730482
#130730462
#130730372
#130730352
#130730262
#130730242
#130730152
#130730132
#130730082
#130730062
#130730002
#130729982
#130728682
#130728662
#130728602
#130728582
#130719172
#130719162
C4×#669512
C4×#669292
C4×#669322
#130710962
#130710202
#130709972
C4×#669252
C4×C22⋊C4×D112
C4×C11×#1262
#3481411