Finite Group Databasebeta

← #14920299

Subgroups — #14920299

Order 2816.

2094 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074681C211yesmaximal, characteristic, complemented
2#13074679C211yesmaximal, characteristic, complemented
3#13074666C211yesmaximal, characteristic, complemented
4#13074664C211yesmaximal, characteristic, complemented
5#13074621C211yesmaximal, characteristic, complemented
6#13074619C211yesmaximal, characteristic, complemented
7#13074606C211yesmaximal, characteristic, complemented
8#13074604C211yesmaximal, characteristic, complemented
9#13074588C211yesmaximal, characteristic, complemented
10#13074572C211yesmaximal, characteristic, complemented
11#13074571C211yesmaximal, characteristic, complemented
12#13074546C211yesmaximal, characteristic, complemented
13#13074425C211yesmaximal, characteristic, complemented
14#13074392C211yesmaximal, characteristic, complemented
15#13074391C211yesmaximal, characteristic, complemented
16#13074354C211yesmaximal, characteristic
17#13071916C211yesmaximal, characteristic, complemented
18#13071916C211yesmaximal, characteristic, complemented
19#13071903C211yesmaximal, characteristic, complemented
20#13071900C211yesmaximal, characteristic, complemented
21#13071877C211yesmaximal, characteristic, complemented
22#13071875C211yesmaximal, characteristic, complemented
23#13071858C211yesmaximal, characteristic, complemented
24#13071854C211yesmaximal, characteristic, complemented
25C4×#66931C211yesmaximal, characteristic, complemented
26C4×#66992C211yesmaximal, characteristic, complemented
27C4×#67006C211yesmaximal, characteristic, complemented
28#13071061C211yesmaximal, characteristic, complemented
29#13071055C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Dic11C211yesmaximal, characteristic, complemented
31C4×C11×#120C211yesmaximal, characteristic, complemented
32C24×C4×C11C2211yescharacteristic
33C2×C11×#120C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C22×C22⋊Dic11C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic, complemented
45C2×#66979C2211yescharacteristic, complemented
46C22×C4×Dic11C2211yescharacteristic
47C22×C4×Dic11C2211yescharacteristic
48C2×#66931C2211yescharacteristic
49C2×#66925C2211yescharacteristic, complemented
50C2×C4×Dic22C2211yescharacteristic, complemented
51C11×#386C2211yescharacteristic
52C11×#386C2211yescharacteristic
53C11×#386C2211yescharacteristic
54C11×#385C2211yescharacteristic
55C11×#385C2211yescharacteristic
56C11×#385C2211yescharacteristic
57C11×#379C2211yescharacteristic
58C4×C11×C22⋊C4C2211yescharacteristic
59C4×C11×C22⋊C4C2211yescharacteristic
60C4×C11×C22⋊C4C2211yescharacteristic
61#10622860C2211yescharacteristic
62#10622836C2211yescharacteristic
63#10622836C2211yescharacteristic
64#10622835C2211yescharacteristic
65#10622835C2211yescharacteristic
66#10622835C2211yescharacteristic
67#10622835C2211yescharacteristic
68#10622835C2211yescharacteristic
69#10622835C2211yescharacteristic
70#10622833C2211yescharacteristic
71#10622833C2211yescharacteristic
72#10622833C2211yescharacteristic
73#10622826C2211yescharacteristic
74#10622826C2211yescharacteristic
75#10622826C2211yescharacteristic
76#10622823C2211yescharacteristic
77#10622823C2211yescharacteristic
78#10622823C2211yescharacteristic
79C4×C22⋊Dic11C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic
81C4×C22⋊Dic11C2211yescharacteristic
82C4×C22⋊Dic11C2211yescharacteristic
83C4×C22⋊Dic11C2211yescharacteristic
84C4×C22⋊Dic11C2211yescharacteristic
85C4×C22⋊Dic11C2211yescharacteristic
86C4×C22⋊Dic11C2211yescharacteristic
87C4×C22⋊Dic11C2211yescharacteristic
88C4×C22⋊Dic11C2211yescharacteristic
89C4×C22⋊Dic11C2211yescharacteristic
90C4×C22⋊Dic11C2211yescharacteristic, complemented
91C4×C22⋊Dic11C2211yescharacteristic, complemented
92C2×C11⋊#95C2211yescharacteristic
93C2×C11⋊#95C2211yescharacteristic
94#10622607C2211yescharacteristic, complemented
95#10622606C2211yescharacteristic, complemented
96#10622603C2211yescharacteristic, complemented
97#10622599C2211yescharacteristic, complemented
98#10622597C2211yescharacteristic, complemented
99#10622596C2211yescharacteristic, complemented
100#10622595C2211yescharacteristic, complemented
101#10622595C2211yescharacteristic, complemented
102#10622594C2211yescharacteristic, complemented
103#10622594C2211yescharacteristic, complemented
104#10622593C2211yescharacteristic, complemented
105#10622585C2211yescharacteristic, complemented
106#10622574C2211yescharacteristic
107#10622574C2211yescharacteristic
108#10622574C2211yescharacteristic
109#10622574C2211yescharacteristic
110#10622574C2211yescharacteristic, complemented
111#10622572C2211yescharacteristic
112#10622572C2211yescharacteristic
113#10622572C2211yescharacteristic, complemented
114#10622571C2211yescharacteristic
115#10622571C2211yescharacteristic
116#10622571C2211yescharacteristic
117#10622570C2211yescharacteristic, complemented
118#10622566C2211yescharacteristic
119#10622566C2211yescharacteristic
120#10622566C2211yescharacteristic
121#10622566C2211yescharacteristic
122#10622566C2211yescharacteristic, complemented
123#10622565C2211yescharacteristic
124#10622565C2211yescharacteristic
125#10622565C2211yescharacteristic
126#10622565C2211yescharacteristic
127#10622565C2211yescharacteristic
128#10622565C2211yescharacteristic
129#10622565C2211yescharacteristic, complemented
130#10622565C2211yescharacteristic, complemented
131#10622565C2211yescharacteristic, complemented
132#10622564C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622563C2211yescharacteristic
135#10622563C2211yescharacteristic
136#10622563C2211yescharacteristic
137#10622562C2211yescharacteristic
138#10622562C2211yescharacteristic
139#10622561C2211yescharacteristic
140#10622561C2211yescharacteristic
141#10622561C2211yescharacteristic
142#10622561C2211yescharacteristic
143#10622561C2211yescharacteristic, complemented
144#10622560C2211yescharacteristic
145#10622560C2211yescharacteristic
146#10622560C2211yescharacteristic, complemented
147#10622559C2211yescharacteristic
148#10622559C2211yescharacteristic
149#10622559C2211yescharacteristic
150#10622558C2211yescharacteristic, complemented
151#10622555C2211yescharacteristic
152#10622555C2211yescharacteristic
153C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
154C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic11C2211yescharacteristic, complemented
156C4×C4⋊Dic11C2211yescharacteristic, complemented
157#10622545C2211yescharacteristic, complemented
158#10622545C2211yescharacteristic, complemented
159C4×Dic11⋊C4C2211yescharacteristic, complemented
160C4×Dic11⋊C4C2211yescharacteristic, complemented
161C4×Dic11⋊C4C2211yescharacteristic, complemented
162C4×Dic11⋊C4C2211yescharacteristic, complemented
163#10622288C2211yescharacteristic, complemented
164#10622288C2211yescharacteristic, complemented
165#10622287C2211yescharacteristic, complemented
166#10622286C2211yescharacteristic, complemented
167#10622282C2211yescharacteristic, complemented
168#10622282C2211yescharacteristic, complemented
169C11⋊#401C2211yescharacteristic, complemented
170C11⋊#401C2211yescharacteristic, complemented
171#10622273C2211yescharacteristic, complemented
172#10622273C2211yescharacteristic, complemented
173#10622273C2211yescharacteristic, complemented
174#10622272C2211yescharacteristic, complemented
175#10622272C2211yescharacteristic, complemented
176#10622271C2211yescharacteristic, complemented
177#10622271C2211yescharacteristic, complemented
178#10622271C2211yescharacteristic, complemented
179#10622271C2211yescharacteristic, complemented
180#10622270C2211yescharacteristic, complemented
181#10622268C2211yescharacteristic, complemented
182#10622267C2211yescharacteristic, complemented
183#10622265C2211yescharacteristic, complemented
184#10622265C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11—24no—
192C23×C4×C11—42no—
193C23×C4×C11—42no—
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C23×C4×C11C2311yescharacteristic
200C23×C4×C11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×Dic22C2311yescharacteristic
211C11×#120—24no—
212C4×D4×C11—24no—
213C4×D4×C11—42no—
214C4×D4×C11—42no—
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C22⋊C4C2311yescharacteristic
219C2×C11×C22⋊C4C2311yescharacteristic
220C2×C11×C22⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4C2311yescharacteristic
222C2×C11×C22⋊C4C2311yescharacteristic
223C2×C11×C22⋊C4C2311yescharacteristic
224C2×C11×C22⋊C4C2311yescharacteristic
225C2×C11×C22⋊C4C2311yescharacteristic
226C2×C11×C22⋊C4C2311yescharacteristic
227C2×C11×C22⋊C4C2311yescharacteristic
228C2×C11×C22⋊C4C2311yescharacteristic
229C2×C11×C22⋊C4C2311yescharacteristic
230C2×C42×C11C2311yescharacteristic
231C2×C42×C11C2311yescharacteristic
232C2×C42×C11C2311yescharacteristic
233#67006—24no—
234C2×C22⋊Dic11—24no—
235C2×C22⋊Dic11—24no—
236C2×C22⋊Dic11C2311yescharacteristic
237C2×C22⋊Dic11C2311yescharacteristic
238C2×C22⋊Dic11C2311yescharacteristic
239C2×C22⋊Dic11C2311yescharacteristic
240C2×C22⋊Dic11C2311yescharacteristic
241C2×C22⋊Dic11C2311yescharacteristic
242C2×C22⋊Dic11C2311yescharacteristic
243C2×C22⋊Dic11C2311yescharacteristic
244C2×C22⋊Dic11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260#66992—24no—
261C4×C22⋊D11—24no—
262C4×C22⋊D11—42no—
263C4×C22⋊D11—42no—
264C4×C22⋊D11—42no—
265C2×(C2×D11)⋊C4C2311yescharacteristic
266C2×(C2×D11)⋊C4C2311yescharacteristic
267C2×(C2×D11)⋊C4C2311yescharacteristic
268C2×(C2×D11)⋊C4C2311yescharacteristic
269C2×(C2×D11)⋊C4C2311yescharacteristic
270C2×(C2×D11)⋊C4C2311yescharacteristic
271C2×(C2×D11)⋊C4C2311yescharacteristic
272C2×(C2×D11)⋊C4C2311yescharacteristic
273C2×(C2×D11)⋊C4C2311yescharacteristic
274C2×(C2×D11)⋊C4C2311yescharacteristic
275#66979—42no—
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
298C2×Dic11⋊C4C2311yescharacteristic
299C2×C4×Dic11—42no—
300C2×C4×Dic11—42no—
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307C2×C4×Dic11C2311yescharacteristic
308C2×C4×Dic11C2311yescharacteristic
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312#66931—24no—
313#66925—42no—
314C4×Dic22—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#34570—111nomaximal, Sylow
364C24×C11—22no—
365C24×C11—22no—
366C24×C11—41no—
367C24×C11—41no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11#4114yes—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C23×D11C2411yescharacteristic
376C2×D4×C11—22no—
377C2×D4×C11—22no—
378C2×D4×C11—22no—
379C2×D4×C11—22no—
380C2×D4×C11—22no—
381C2×D4×C11—41no—
382C2×D4×C11—41no—
383C2×D4×C11—41no—
384C2×D4×C11—41no—
385C22×C4×C11—22no—
386C22×C4×C11—22no—
387C22×C4×C11—22no—
388C22×C4×C11—22no—
389C22×C4×C11—22no—
390C22×C4×C11—22no—
391C22×C4×C11—22no—
392C22×C4×C11—22no—
393C22×C4×C11—22no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—41no—
400C22×C4×C11—41no—
401C22×C4×C11—41no—
402C22×C4×C11—41no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11—416no—
406C22×C4×C11#4114yes—
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—41no—
425C2×C22⋊D11—41no—
426C2×C22⋊D11—41no—
427C2×C22⋊D11—41no—
428C2×C22⋊D11—41no—
429C2×C22⋊D11—41no—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—41no—
434C22×Dic11—41no—
435C22×Dic11—41no—
436C22×Dic11—41no—
437C22×Dic11—41no—
438C22×Dic11—41no—
439C22×Dic11—41no—
440C22×Dic11—41no—
441C22×Dic11#4114yes—
442C22×Dic11C2411yescharacteristic
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C2×C4×D11—22no—
458C2×C4×D11—22no—
459C2×C4×D11—22no—
460C2×Dic22—22no—
461C2×Dic22—41no—
462C2×Dic22—41no—
463C11×C4⋊C4—22no—
464C11×C4⋊C4—41no—
465C11×C4⋊C4—41no—
466C11×C22⋊C4—22no—
467C11×C22⋊C4—22no—
468C11×C22⋊C4—22no—
469C11×C22⋊C4—22no—
470C11×C22⋊C4—22no—
471C11×C22⋊C4—22no—
472C11×C22⋊C4—41no—
473C11×C22⋊C4—41no—
474C11×C22⋊C4—41no—
475C11×C22⋊C4—41no—
476C11×C22⋊C4—41no—
477C11×C22⋊C4—41no—
478C42×C11—22no—
479C42×C11—22no—
480C42×C11—22no—
481C22⋊Dic11—22no—
482C22⋊Dic11—22no—
483C22⋊Dic11—22no—
484C22⋊Dic11—22no—
485C22⋊Dic11—22no—
486C22⋊Dic11—22no—
487C22⋊Dic11—22no—
488C22⋊Dic11—22no—
489C22⋊Dic11—22no—
490C22⋊Dic11—22no—
491C22⋊Dic11—22no—
492C22⋊Dic11—22no—
493C22⋊Dic11—22no—
494C22⋊Dic11—22no—
495C22⋊Dic11—41no—
496C22⋊Dic11—41no—
497C22⋊Dic11—41no—
498C22⋊Dic11—41no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505(C2×D11)⋊C4—22no—
506(C2×D11)⋊C4—22no—
507(C2×D11)⋊C4—41no—
508(C2×D11)⋊C4—41no—
509(C2×D11)⋊C4—41no—
510(C2×D11)⋊C4—41no—
511(C2×D11)⋊C4—41no—
512(C2×D11)⋊C4—41no—
513(C2×D11)⋊C4—41no—
514(C2×D11)⋊C4—41no—
515C4⋊Dic11—22no—
516C4⋊Dic11—41no—
517C4⋊Dic11—41no—
518C4⋊Dic11—41no—
519C4⋊Dic11—41no—
520C4⋊Dic11—41no—
521C4⋊Dic11—41no—
522Dic11⋊C4—22no—
523Dic11⋊C4—22no—
524Dic11⋊C4—22no—
525Dic11⋊C4—22no—
526Dic11⋊C4—41no—
527Dic11⋊C4—41no—
528Dic11⋊C4—41no—
529Dic11⋊C4—41no—
530Dic11⋊C4—41no—
531Dic11⋊C4—41no—
532Dic11⋊C4—41no—
533Dic11⋊C4—41no—
534Dic11⋊C4—41no—
535Dic11⋊C4—41no—
536Dic11⋊C4—41no—
537Dic11⋊C4—41no—
538C4×Dic11—22no—
539C4×Dic11—22no—
540C4×Dic11—22no—
541C4×Dic11—22no—
542C4×Dic11—22no—
543C4×Dic11—22no—
544C4×Dic11—22no—
545C4×Dic11—41no—
546C4×Dic11—41no—
547C4×Dic11—41no—
548C4×Dic11—41no—
549#2653—111no—
550#2653—111no—
551#2652—111no—
552#2652—111no—
553#2649—111no—
554#2649—111no—
555#2648—111no—
556#2648—111no—
557#2646—111no—
558#2643—111no—
559#2643—111no—
560#2639—111no—
561#2626—111no—
562#2622—111no—
563#2622—111no—
564#2617—111no—
565#2401—111no—
566#2401—111no—
567#2398—111no—
568#2398—111no—
569#2395—111no—
570#2395—111no—
571#2392—111no—
572#2392—111no—
573C4×C22⋊Q8—111no—
574C4×#121—111no—
575C4×#120—111no—
576C4×#120D1111yescharacteristic, complemented
577#2290—111no—
578#2290—111no—
579C2×C4×C22⋊C4—111no—
580C23×C11—21no—
581C23×C11—21no—
582C23×C11—21no—
583C23×C11—21no—
584C23×C11—28no—
585C23×C11—21no—
586C23×C11—21no—
587C23×C11—21no—
588C23×C11—21no—
589C23×C11—21no—
590C23×C11—21no—
591C23×C11—21no—
592C23×C11—21no—
593C23×C11—21no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—21no—
599C23×C11—21no—
600C23×C11—21no—
601C23×C11—21no—
602C23×C11—21no—
603C23×C11—21no—
604C23×C11—44no—
605C23×C11—44no—
606C23×C11—44no—
607C23×C11—44no—
608C23×C11—44no—
609C23×C11—44no—
610C23×C11C2×#4112yes—
611C23×C11C2×#4112yes—
612C23×C11C2×#4112yes—
613C23×C11C2×#4112yes—
614C23×C11C2×#4112yes—
615C23×C11C2511yescharacteristic
616C22×D11—21no—
617C22×D11—21no—
618C22×D11—21no—
619C22×D11—21no—
620C22×D11—21no—
621C22×D11—21no—
622C22×D11—21no—
623D4×C11—44no—
624D4×C11—44no—
625D4×C11—44no—
626C2×C4×C11—21no—
627C2×C4×C11—21no—
628C2×C4×C11—28no—
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×C11—21no—
647C2×C4×C11—21no—
648C2×C4×C11—21no—
649C2×C4×C11—21no—
650C2×C4×C11—21no—
651C2×C4×C11—21no—
652C2×C4×C11—21no—
653C2×C4×C11—21no—
654C2×C4×C11—21no—
655C2×C4×C11—21no—
656C2×C4×C11—44no—
657C2×C4×C11—44no—
658C2×C4×C11—44no—
659C2×C4×C11—44no—
660C2×C4×C11—44no—
661C2×C4×C11—44no—
662C2×C4×C11C2×#4112yes—
663C2×C4×C11C2×#4112yes—
664C2×C4×C11H(5,𝔽2)12yes—
665C2×C4×C11H(5,𝔽2)12yes—
666C22⋊D11—44no—
667C22⋊D11—44no—
668C22⋊D11—44no—
669C22⋊D11—44no—
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—21no—
692C2×Dic11—21no—
693C2×Dic11—21no—
694C2×Dic11—21no—
695C2×Dic11—21no—
696C2×Dic11—21no—
697C2×Dic11—21no—
698C2×Dic11—21no—
699C2×Dic11—21no—
700C2×Dic11—21no—
701C2×Dic11—21no—
702C2×Dic11—21no—
703C2×Dic11—21no—
704C2×Dic11—21no—
705C2×Dic11—21no—
706C2×Dic11—21no—
707C2×Dic11—21no—
708C2×Dic11—21no—
709C2×Dic11—21no—
710C2×Dic11—21no—
711C2×Dic11—21no—
712C2×Dic11—21no—
713C2×Dic11—44no—
714C2×Dic11—44no—
715C2×Dic11—44no—
716C2×Dic11—44no—
717C2×Dic11C2×#4112yes—
718C2×Dic11C2×#4112yes—
719C4×D11—44no—
720Dic22—44no—
721C24×C4C2×D1111yescharacteristic
722C2×C22⋊Q8—111no—
723C2×#121—111no—
724C2×#120—111no—
725C2×#120C2×D1111yescharacteristic
726C2×C4×Q8—111no—
727C2×C4×D4—111no—
728C2×C4×D4—111no—
729C2×C4×D4—111no—
730C2×C4×D4—111no—
731C2×C4×D4C2×D1111yescharacteristic
732C2×C4×D4C2×D1111yescharacteristic
733C2×C4×D4C2×D1111yescharacteristic
734C2×#117—111no—
735C2×#117—111no—
736C22×C22⋊C4—111no—
737C22×C22⋊C4—111no—
738C22×C42—111no—
739C22×C42—111no—
740#401—111no—
741#401—111no—
742#400—111no—
743#400—111no—
744#400—111no—
745#400—111no—
746#400—111no—
747#400—111no—
748#400—111no—
749#400—111no—
750#400—111no—
751#400—111no—
752#400—111no—
753#400—111no—
754#399—111no—
755#399—111no—
756#398—111no—
757#398—111no—
758#398—111no—
759#398—111no—
760#397—111no—
761#397—111no—
762#397—111no—
763#397—111no—
764#397—111no—
765#397—111no—
766#397—111no—
767#397—111no—
768#397—111no—
769#397—111no—
770#397—111no—
771#397—111no—
772#397—111no—
773#397—111no—
774#397—111no—
775#397—111no—
776#397—111no—
777#397—111no—
778#396—111no—
779#396—111no—
780#396—111no—
781#396—111no—
782#396—111no—
783#396—111no—
784#394—111no—
785#394—111no—
786#394—111no—
787#394—111no—
788#394—111no—
789#394—111no—
790#394—111no—
791#394—111no—
792#394—111no—
793#394—111no—
794#394—111no—
795#394—111no—
796#394—111no—
797#394—111no—
798#393—111no—
799#393—111no—
800#393—111no—
801#393—111no—
802#392—111no—
803#392—111no—
804#391—111no—
805#390—111no—
806#389—111no—
807#389—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#387—111no—
815#387—111no—
816#387—111no—
817#387—111no—
818#387—111no—
819#387—111no—
820#386—111no—
821#386—111no—
822#386—111no—
823#386—111no—
824#386—111no—
825#386—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386C2×D1111yescharacteristic
830#386C2×D1111yescharacteristic
831#386C2×D1111yescharacteristic
832#385—111no—
833#385—111no—
834#385—111no—
835#385—111no—
836#385—111no—
837#385—111no—
838#385—111no—
839#385—111no—
840#385—111no—
841#385C2×D1111yescharacteristic
842#385C2×D1111yescharacteristic
843#385C2×D1111yescharacteristic
844#380—111no—
845#380—111no—
846#379—111no—
847#379C2×D1111yescharacteristic
848C4×C4⋊C4—111no—
849C4×C4⋊C4—111no—
850C4×C4⋊C4—111no—
851C4×C4⋊C4—111no—
852C4×C4⋊C4—111no—
853C4×C4⋊C4—111no—
854C4×C22⋊C4—111no—
855C4×C22⋊C4—111no—
856C4×C22⋊C4—111no—
857C4×C22⋊C4—111no—
858C4×C22⋊C4—111no—
859C4×C22⋊C4—111no—
860C4×C22⋊C4—111no—
861C4×C22⋊C4—111no—
862C4×C22⋊C4—111no—
863C4×C22⋊C4—111no—
864C4×C22⋊C4—111no—
865C4×C22⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4—111no—
869C4×C22⋊C4C2×D1111yescharacteristic
870C4×C22⋊C4C2×D1111yescharacteristic
871C4×C22⋊C4C2×D1111yescharacteristic
872#376—111no—
873#376—111no—
874C2×#95—111no—
875C2×#95—111no—
876C22×C11—22no—
877C22×C11—22no—
878C22×C11—22no—
879C22×C11—22no—
880C22×C11—22no—
881C22×C11—22no—
882C22×C11—22no—
883C22×C11—22no—
884C22×C11—22no—
885C22×C11—22no—
886C22×C11—22no—
887C22×C11—22no—
888C22×C11—416no—
889C22×C11—41no—
890C22×C11—41no—
891C22×C11—41no—
892C22×C11—41no—
893C22×C11—41no—
894C22×C11—41no—
895C22×C11—41no—
896C22×C11—41no—
897C22×C11—41no—
898C22×C11—41no—
899C22×C11—41no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11#52914yes—
905C22×C11C22×#4111yescharacteristic
906C22×C11C22×#4111yescharacteristic
907C22×C11C22×#4111yescharacteristic
908C22×C11C2×H(5,𝔽2)11yescharacteristic
909C22×C11C2×H(5,𝔽2)11yescharacteristic
910C22×C11#58511yescharacteristic
911C22×C11#58511yescharacteristic
912C2×D11—41no—
913C2×D11—41no—
914C2×D11—41no—
915C2×D11—41no—
916C2×D11—41no—
917C2×D11—41no—
918C2×D11—41no—
919C4×C11—22no—
920C4×C11—41no—
921C4×C11—41no—
922C4×C11—41no—
923C4×C11—41no—
924C4×C11—41no—
925C4×C11—41no—
926C4×C11—41no—
927C4×C11—41no—
928C4×C11—41no—
929C4×C11#53814yes—
930Dic11—22no—
931Dic11—22no—
932Dic11—41no—
933Dic11—41no—
934Dic11—41no—
935Dic11—41no—
936Dic11—41no—
937Dic11—41no—
938Dic11—41no—
939Dic11—41no—
940Dic11—41no—
941Dic11—41no—
942Dic11—41no—
943Dic11—41no—
944Dic11—41no—
945C25C22×D1111yescharacteristic
946C22×Q8—111no—
947C22×D4—111no—
948C22×D4—111no—
949C22×D4—111no—
950C22×D4—111no—
951C22×D4C22×D1111yescharacteristic
952C22×D4C22×D1111yescharacteristic
953C22×D4C22×D1111yescharacteristic
954C23×C4—24no—
955C23×C4—42no—
956C23×C4—42no—
957C23×C4—111no—
958C23×C4—111no—
959C23×C4—111no—
960C23×C4—111no—
961C23×C4—111no—
962C23×C4C22×D1111yescharacteristic
963C23×C4C22×D1111yescharacteristic
964C23×C4C22×D1111yescharacteristic
965C23×C4C22×D1111yescharacteristic
966C23×C4C22×D1111yescharacteristic
967C23×C4C22×D1111yescharacteristic
968C23×C4C22×D1111yescharacteristic
969C22⋊Q8—224no—
970#121—224no—
971#120—24no—
972#120—224no—
973C4×Q8—442no—
974C4×D4—24no—
975C4×D4—42no—
976C4×D4—42no—
977C4×D4—224no—
978C4×D4—442no—
979C4×D4—442no—
980C4×D4—442no—
981#117—442no—
982#117—442no—
983C2×C4⋊C4—111no—
984C2×C4⋊C4—111no—
985C2×C4⋊C4—111no—
986C2×C4⋊C4—111no—
987C2×C4⋊C4—111no—
988C2×C4⋊C4—111no—
989C2×C4⋊C4—111no—
990C2×C4⋊C4—111no—
991C2×C4⋊C4—111no—
992C2×C4⋊C4—111no—
993C2×C4⋊C4—111no—
994C2×C4⋊C4—111no—
995C2×C4⋊C4—111no—
996C2×C4⋊C4—111no—
997C2×C4⋊C4—111no—
998C2×C4⋊C4—111no—
999C2×C4⋊C4—111no—
1000C2×C4⋊C4—111no—
1001C2×C4⋊C4—111no—
1002C2×C4⋊C4—111no—
1003C2×C4⋊C4—111no—
1004C2×C4⋊C4—111no—
1005C2×C4⋊C4—111no—
1006C2×C4⋊C4C22×D1111yescharacteristic
1007C2×C4⋊C4C22×D1111yescharacteristic
1008C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1025C2×C22⋊C4—111no—
1026C2×C22⋊C4—111no—
1027C2×C22⋊C4—111no—
1028C2×C22⋊C4—111no—
1029C2×C22⋊C4—111no—
1030C2×C22⋊C4—111no—
1031C2×C22⋊C4—111no—
1032C2×C22⋊C4—111no—
1033C2×C22⋊C4—111no—
1034C2×C22⋊C4—111no—
1035C2×C22⋊C4—111no—
1036C2×C22⋊C4—111no—
1037C2×C22⋊C4—111no—
1038C2×C22⋊C4—111no—
1039C2×C22⋊C4—111no—
1040C2×C22⋊C4—111no—
1041C2×C22⋊C4—111no—
1042C2×C22⋊C4—111no—
1043C2×C22⋊C4—224no—
1044C2×C22⋊C4—224no—
1045C2×C22⋊C4C22×D1111yescharacteristic
1046C2×C22⋊C4C22×D1111yescharacteristic
1047C2×C22⋊C4C22×D1111yescharacteristic
1048C2×C22⋊C4C22×D1111yescharacteristic
1049C2×C22⋊C4C22×D1111yescharacteristic
1050C2×C22⋊C4C22×D1111yescharacteristic
1051C2×C22⋊C4C22×D1111yescharacteristic
1052C2×C22⋊C4C22×D1111yescharacteristic
1053C2×C22⋊C4C22×D1111yescharacteristic
1054C2×C22⋊C4C22×D1111yescharacteristic
1055C2×C22⋊C4C22×D1111yescharacteristic
1056C2×C22⋊C4C22×D1111yescharacteristic
1057C2×C42—111no—
1058C2×C42—111no—
1059C2×C42—111no—
1060C2×C42—111no—
1061C2×C42—111no—
1062C2×C42—111no—
1063C2×C42—111no—
1064C2×C42—111no—
1065C2×C42—111no—
1066C2×C42—111no—
1067C2×C42—111no—
1068C2×C42—442no—
1069C2×C42—442no—
1070C2×C42C22×D1111yescharacteristic
1071C2×C42C22×D1111yescharacteristic
1072C2×C42C22×D1111yescharacteristic
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#95—111no—
1089#95—111no—
1090#95—111no—
1091#95—111no—
1092#95—111no—
1093#95—111no—
1094#95—111no—
1095#95—111no—
1096#95—111no—
1097#95—111no—
1098#95—111no—
1099#95—111no—
1100#95—111no—
1101#95—111no—
1102#95—111no—
1103#95—111no—
1104#95—111no—
1105#95—111no—
1106#95—111no—
1107#95—111no—
1108#95—111no—
1109#95—111no—
1110#95—111no—
1111#95—111no—
1112#95—111no—
1113#95—111no—
1114#95—111no—
1115#95C22×D1111yescharacteristic
1116#95C22×D1111yescharacteristic
1117#95C22×D1111yescharacteristic
1118#95C22×D1111yescharacteristic
1119#95C22×D1111yescharacteristic
1120#95C22×D1111yescharacteristic
1121C2×C11—24no—
1122C2×C11—42no—
1123C2×C11—42no—
1124C2×C11—81no—
1125C2×C11C2×#52911yescharacteristic
1126C2×C11C2×#53811yescharacteristic
1127C2×C11#345511yescharacteristic
1128C2×C11#345911yescharacteristic
1129C2×C11#345911yescharacteristic
1130C2×C11#345911yescharacteristic
1131C2×C11#346011yescharacteristic
1132D11—81no—
1133C24—22no—
1134C24—22no—
1135C24—41no—
1136C24—41no—
1137C24—41no—
1138C24—41no—
1139C24—111no—
1140C24#433914yes—
1141C24C23×D1111yescharacteristic
1142C24C23×D1111yescharacteristic
1143C24C23×D1111yescharacteristic
1144C24C23×D1111yescharacteristic
1145C2×Q8—222no—
1146C2×Q8—441no—
1147C2×Q8—441no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—222no—
1158C2×D4—222no—
1159C2×D4—222no—
1160C2×D4—222no—
1161C2×D4—222no—
1162C2×D4—222no—
1163C2×D4—441no—
1164C2×D4—441no—
1165C2×D4—441no—
1166C2×D4—441no—
1167C2×D4—441no—
1168C2×D4—441no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—416no—
1190C22×C4—111no—
1191C22×C4—111no—
1192C22×C4—114no—
1193C22×C4—111no—
1194C22×C4—111no—
1195C22×C4—111no—
1196C22×C4—111no—
1197C22×C4—111no—
1198C22×C4—111no—
1199C22×C4—111no—
1200C22×C4—111no—
1201C22×C4—111no—
1202C22×C4—111no—
1203C22×C4—111no—
1204C22×C4—111no—
1205C22×C4—111no—
1206C22×C4—222no—
1207C22×C4—222no—
1208C22×C4—222no—
1209C22×C4—222no—
1210C22×C4—222no—
1211C22×C4—222no—
1212C22×C4—441no—
1213C22×C4—441no—
1214C22×C4—441no—
1215C22×C4—441no—
1216C22×C4—441no—
1217C22×C4—441no—
1218C22×C4—441no—
1219C22×C4—441no—
1220C22×C4#434114yes—
1221C22×C4C23×D1111yescharacteristic
1222C22×C4C23×D1111yescharacteristic
1223C22×C4C23×D1111yescharacteristic
1224C22×C4C23×D1111yescharacteristic
1225C22×C4C23×D1111yescharacteristic
1226C22×C4C23×D1111yescharacteristic
1227C22×C4C23×D1111yescharacteristic
1228C22×C4C23×D1111yescharacteristic
1229C22×C4C23×D1111yescharacteristic
1230C22×C4C23×D1111yescharacteristic
1231C22×C4C23×D1111yescharacteristic
1232C4⋊C4—22no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—222no—
1236C4⋊C4—222no—
1237C4⋊C4—222no—
1238C4⋊C4—222no—
1239C4⋊C4—222no—
1240C4⋊C4—441no—
1241C4⋊C4—441no—
1242C4⋊C4—441no—
1243C4⋊C4—441no—
1244C4⋊C4—441no—
1245C4⋊C4—441no—
1246C4⋊C4—441no—
1247C4⋊C4—441no—
1248C4⋊C4—441no—
1249C4⋊C4—441no—
1250C4⋊C4—441no—
1251C4⋊C4—441no—
1252C4⋊C4—441no—
1253C4⋊C4—441no—
1254C4⋊C4—441no—
1255C4⋊C4—441no—
1256C4⋊C4—441no—
1257C4⋊C4—441no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—222no—
1271C22⋊C4—222no—
1272C22⋊C4—222no—
1273C22⋊C4—222no—
1274C22⋊C4—222no—
1275C22⋊C4—222no—
1276C22⋊C4—222no—
1277C22⋊C4—222no—
1278C22⋊C4—222no—
1279C22⋊C4—222no—
1280C22⋊C4—222no—
1281C22⋊C4—222no—
1282C22⋊C4—222no—
1283C22⋊C4—222no—
1284C22⋊C4—222no—
1285C22⋊C4—222no—
1286C22⋊C4—441no—
1287C22⋊C4—441no—
1288C22⋊C4—441no—
1289C22⋊C4—441no—
1290C22⋊C4—441no—
1291C22⋊C4—441no—
1292C22⋊C4—441no—
1293C22⋊C4—441no—
1294C22⋊C4—441no—
1295C22⋊C4—441no—
1296C22⋊C4—441no—
1297C22⋊C4—441no—
1298C22⋊C4—441no—
1299C22⋊C4—441no—
1300C22⋊C4—441no—
1301C22⋊C4—441no—
1302C22⋊C4—441no—
1303C22⋊C4—441no—
1304C42—22no—
1305C42—22no—
1306C42—22no—
1307C42—222no—
1308C42—222no—
1309C42—222no—
1310C42—222no—
1311C42—222no—
1312C42—222no—
1313C42—222no—
1314C42—441no—
1315C42—441no—
1316C42—441no—
1317C42—441no—
1318C11#3457011yescharacteristic, complemented, Sylow
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—28no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—44no—
1344C23—44no—
1345C23—44no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—221no—
1350C23—221no—
1351C23—221no—
1352C23—221no—
1353C23—221no—
1354C23—221no—
1355C23—221no—
1356C23C2×#433912yes—
1357C23C2×#433912yes—
1358C23C2×#433912yes—
1359C23C2×#434112yes—
1360C23#41×D1112yes—
1361C23C24×D1111yescharacteristic
1362Q8—444no—
1363D4—44no—
1364D4—44no—
1365D4—44no—
1366D4—444no—
1367D4—444no—
1368D4—444no—
1369D4—444no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—28no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—44no—
1401C2×C4—44no—
1402C2×C4—44no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—112no—
1407C2×C4—112no—
1408C2×C4—221no—
1409C2×C4—221no—
1410C2×C4—221no—
1411C2×C4—221no—
1412C2×C4—221no—
1413C2×C4—221no—
1414C2×C4—221no—
1415C2×C4—221no—
1416C2×C4—221no—
1417C2×C4—221no—
1418C2×C4—221no—
1419C2×C4—221no—
1420C2×C4—221no—
1421C2×C4—221no—
1422C2×C4—221no—
1423C2×C4—221no—
1424C2×C4—221no—
1425C2×C4—221no—
1426C2×C4—221no—
1427C2×C4—221no—
1428C2×C4—221no—
1429C2×C4—221no—
1430C2×C4—221no—
1431C2×C4—221no—
1432C2×C4—221no—
1433C2×C4—221no—
1434C2×C4—221no—
1435C2×C4—221no—
1436C2×C4—221no—
1437C2×C4—221no—
1438C2×C4—221no—
1439C2×C4—221no—
1440C2×C4—221no—
1441C2×C4—221no—
1442C2×C4—221no—
1443C2×C4—221no—
1444C2×C4—221no—
1445C2×C4—221no—
1446C2×C4—221no—
1447C2×C4—221no—
1448C2×C4—221no—
1449C2×C4—221no—
1450C2×C4—221no—
1451C2×C4—444no—
1452C2×C4—444no—
1453C2×C4—444no—
1454C2×C4—444no—
1455C2×C4—444no—
1456C2×C4C2×#434112yes—
1457C2×C4C2×#434112yes—
1458C2×C4#6703712yes—
1459C2×C4#6703712yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—416no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—441no—
1489C22—441no—
1490C22—441no—
1491C22—441no—
1492C22—441no—
1493C22—441no—
1494C22—441no—
1495C22#1062306914yes—
1496C22C22×#433911yescharacteristic
1497C22C22×#434111yescharacteristic
1498C22C2×#6703711yescharacteristic
1499C22C2×#6703711yescharacteristic
1500C22C2×#41×D1111yescharacteristic
1501C22#1062345311yescharacteristic
1502C22#1062345311yescharacteristic
1503C4—22no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—222no—
1514C4—222no—
1515C4—441no—
1516C4—441no—
1517C4—441no—
1518C4—441no—
1519C4—441no—
1520C4—441no—
1521C4—441no—
1522C4—441no—
1523C4—441no—
1524C4—441no—
1525C4—441no—
1526C4—441no—
1527C4—441no—
1528C4#1062312414yes—
1529C2—24no—
1530C2—42no—
1531C2—42no—
1532C2—81no—
1533C2—881no—
1534C2C2×#1062306911yescharacteristic
1535C2C2×#1062312411yescharacteristic
1536C2#1308200411yescharacteristic
1537C2#1308202311yescharacteristic
1538C2#1308202511yescharacteristic
1539C2#1308202511yescharacteristic
1540C2#1308203411yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC4×C11×#120C2
prime radical#13074354C2
hypercenterC4×#120D11
hypocenterC11#34570
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. #13074681C2semidirect
2. #13074679C2semidirect
3. #13074666C2semidirect
4. #13074664C2semidirect
5. #13074621C2semidirect
6. #13074619C2semidirect
7. #13074606C2semidirect
8. #13074604C2semidirect
9. #13074588C2semidirect
10. #13074572C2semidirect
11. #13074571C2semidirect
12. #13074546C2semidirect
13. #13074425C2semidirect
14. #13074392C2semidirect
15. #13074391C2semidirect
17. #13071916C2semidirect
18. #13071916C2semidirect
19. #13071903C2semidirect
20. #13071900C2semidirect
21. #13071877C2semidirect
22. #13071875C2semidirect
23. #13071858C2semidirect
24. #13071854C2semidirect
25. C4×#66931C2semidirect
26. C4×#66992C2semidirect
27. C4×#67006C2semidirect
28. #13071061C2semidirect
29. #13071055C2semidirect
30. C2×C4×C22⋊Dic11C2semidirect
31. C4×C11×#120C2semidirect
44. C2×C4×C22⋊D11C22semidirect
45. C2×#66979C22semidirect
49. C2×#66925C22semidirect
50. C2×C4×Dic22C22semidirect
90. C4×C22⋊Dic11C22semidirect
91. C4×C22⋊Dic11C22semidirect
94. #10622607C22semidirect
95. #10622606C22semidirect
96. #10622603C22semidirect
97. #10622599C22semidirect
98. #10622597C22semidirect
99. #10622596C22semidirect
100. #10622595C22semidirect
101. #10622595C22semidirect
102. #10622594C22semidirect
103. #10622594C22semidirect
104. #10622593C22semidirect
105. #10622585C22semidirect
110. #10622574C22semidirect
113. #10622572C22semidirect
117. #10622570C22semidirect
122. #10622566C22semidirect
129. #10622565C22semidirect
130. #10622565C22semidirect
131. #10622565C22semidirect
132. #10622564C22semidirect
133. #10622564C22semidirect
143. #10622561C22semidirect
146. #10622560C22semidirect
150. #10622558C22semidirect
153. C4×(C2×D11)⋊C4C22semidirect
154. C4×(C2×D11)⋊C4C22semidirect
155. C4×C4⋊Dic11C22semidirect
156. C4×C4⋊Dic11C22semidirect
157. #10622545C22semidirect
158. #10622545C22semidirect
159. C4×Dic11⋊C4C22semidirect
160. C4×Dic11⋊C4C22semidirect
161. C4×Dic11⋊C4C22semidirect
162. C4×Dic11⋊C4C22semidirect
163. #10622288C22semidirect
164. #10622288C22semidirect
165. #10622287C22semidirect
166. #10622286C22semidirect
167. #10622282C22semidirect
168. #10622282C22semidirect
169. C11⋊#401C22semidirect
170. C11⋊#401C22semidirect
171. #10622273C22semidirect
172. #10622273C22semidirect
173. #10622273C22semidirect
174. #10622272C22semidirect
175. #10622272C22semidirect
176. #10622271C22semidirect
177. #10622271C22semidirect
178. #10622271C22semidirect
179. #10622271C22semidirect
180. #10622270C22semidirect
181. #10622268C22semidirect
182. #10622267C22semidirect
183. #10622265C22semidirect
184. #10622265C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
576. C4×#120D11semidirect
1318. C11#34570semidirect

Maximal subgroups

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

subgroupindex
#130746812
#130746792
#130746662
#130746642
#130746212
#130746192
#130746062
#130746042
#130745882
#130745722
#130745712
#130745462
#130744252
#130743922
#130743912
#130743542
#130719162
#130719032
#130719002
#130718772
#130718752
#130718582
#130718542
C4×#669312
C4×#669922
C4×#670062
#130710612
#130710552
C2×C4×C22⋊Dic112
C4×C11×#1202
#3457011