Finite Group Databasebeta

← #14920733

Subgroups — #14920733

Order 2816.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074799C211yesmaximal, characteristic, complemented
2#13074794C211yesmaximal, characteristic, complemented
3#13074755C211yesmaximal, characteristic
4#13074752C211yesmaximal, characteristic
5#13074696C211yesmaximal, characteristic, complemented
6#13074689C211yesmaximal, characteristic, complemented
7#13074651C211yesmaximal, characteristic, complemented
8#13074650C211yesmaximal, characteristic, complemented
9#13074649C211yesmaximal, characteristic, complemented
10#13074642C211yesmaximal, characteristic, complemented
11#13074637C211yesmaximal, characteristic, complemented
12#13074634C211yesmaximal, characteristic, complemented
13#13074522C211yesmaximal, characteristic, complemented
14#13074521C211yesmaximal, characteristic, complemented
15#13074475C211yesmaximal, characteristic, complemented
16#13071906C211yesmaximal, characteristic, complemented
17#13071898C211yesmaximal, characteristic, complemented
18#13071887C211yesmaximal, characteristic, complemented
19#13071885C211yesmaximal, characteristic, complemented
20#13071883C211yesmaximal, characteristic, complemented
21#13071881C211yesmaximal, characteristic, complemented
22#13071872C211yesmaximal, characteristic, complemented
23#13071859C211yesmaximal, characteristic
24#13071170C211yesmaximal, characteristic, complemented
25#13071164C211yesmaximal, characteristic, complemented
26#124×Dic11C211yesmaximal, characteristic, complemented
27#13071157C211yesmaximal, characteristic, complemented
28#13071110C211yesmaximal, characteristic, complemented
29#13071076C211yesmaximal, characteristic, complemented
30C4×Q8×Dic11C211yesmaximal, characteristic, complemented
31C11×#2632C211yesmaximal, characteristic, complemented
32C2×C11×#124C2211yescharacteristic
33C2×C4×Q8×C11C2211yescharacteristic
34C2×Q8×Dic11C2211yescharacteristic
35C2×Q8×Dic11C2211yescharacteristic
36C2×Q8×Dic11C2211yescharacteristic
37C2×D4×Dic11C2211yescharacteristic
38C2×#66945C2211yescharacteristic
39C2×#66940C2211yescharacteristic
40C2×#66938C2211yescharacteristic
41C2×(C22⋊D11)⋊C4C2211yescharacteristic
42C2×(C22⋊D11)⋊C4C2211yescharacteristic
43C2×#66932C2211yescharacteristic
44C2×#66930C2211yescharacteristic
45C2×#66930C2211yescharacteristic
46C2×#66929C2211yescharacteristic
47C11×#399C2211yescharacteristic
48C11×#399C2211yescharacteristic
49C11×#395C2211yescharacteristic
50C11×#395C2211yescharacteristic
51C11×#394C2211yescharacteristic
52C11×#394C2211yescharacteristic
53C11×#393C2211yescharacteristic
54C11×#393C2211yescharacteristic
55C11×#388C2211yescharacteristic
56C11×#388C2211yescharacteristic
57C11×#388C2211yescharacteristic
58C11×#388C2211yescharacteristic
59C11×#383C2211yescharacteristic
60#10622844C2211yescharacteristic
61#10622844C2211yescharacteristic
62#10622843C2211yescharacteristic
63#10622842C2211yescharacteristic
64#10622842C2211yescharacteristic
65#10622836C2211yescharacteristic
66#10622835C2211yescharacteristic
67#10622834C2211yescharacteristic
68#10622607C2211yescharacteristic
69#10622607C2211yescharacteristic
70#10622607C2211yescharacteristic
71#10622606C2211yescharacteristic
72#10622606C2211yescharacteristic
73#10622603C2211yescharacteristic
74#10622599C2211yescharacteristic
75#10622597C2211yescharacteristic
76#10622597C2211yescharacteristic
77#10622597C2211yescharacteristic
78#10622596C2211yescharacteristic
79#10622595C2211yescharacteristic
80#10622595C2211yescharacteristic
81#10622593C2211yescharacteristic
82#10622593C2211yescharacteristic
83#10622591C2211yescharacteristic
84#10622591C2211yescharacteristic
85C4⋊C4×Dic11C2211yescharacteristic
86C4⋊C4×Dic11C2211yescharacteristic
87C4⋊C4×Dic11C2211yescharacteristic
88C4⋊C4×Dic11C2211yescharacteristic
89C4⋊C4×Dic11C2211yescharacteristic
90C4⋊C4×Dic11C2211yescharacteristic
91C4⋊C4×Dic11C2211yescharacteristic
92C4⋊C4×Dic11C2211yescharacteristic
93#10622585C2211yescharacteristic
94#10622574C2211yescharacteristic
95#10622574C2211yescharacteristic
96#10622574C2211yescharacteristic
97#10622574C2211yescharacteristic
98#10622574C2211yescharacteristic
99#10622572C2211yescharacteristic
100#10622570C2211yescharacteristic
101#10622570C2211yescharacteristic
102#10622570C2211yescharacteristic
103#10622566C2211yescharacteristic
104#10622566C2211yescharacteristic
105#10622566C2211yescharacteristic
106#10622565C2211yescharacteristic
107#10622565C2211yescharacteristic
108#10622565C2211yescharacteristic
109#10622564C2211yescharacteristic
110#10622564C2211yescharacteristic
111#10622564C2211yescharacteristic
112#10622564C2211yescharacteristic
113#10622564C2211yescharacteristic
114#10622564C2211yescharacteristic
115#10622562C2211yescharacteristic
116#10622562C2211yescharacteristic
117#10622561C2211yescharacteristic
118#10622561C2211yescharacteristic
119#10622561C2211yescharacteristic
120#10622561C2211yescharacteristic
121#10622561C2211yescharacteristic
122#10622560C2211yescharacteristic
123#10622558C2211yescharacteristic
124#10622558C2211yescharacteristic
125#10622558C2211yescharacteristic
126#10622557C2211yescharacteristic
127#10622557C2211yescharacteristic
128C22⋊C4×Dic11C2211yescharacteristic
129C22⋊C4×Dic11C2211yescharacteristic
130C22⋊C4×Dic11C2211yescharacteristic
131C22⋊C4×Dic11C2211yescharacteristic
132C22⋊C4×Dic11C2211yescharacteristic
133C22⋊C4×Dic11C2211yescharacteristic
134C22⋊C4×Dic11C2211yescharacteristic
135C22⋊C4×Dic11C2211yescharacteristic
136#10622553C2211yescharacteristic
137#10622553C2211yescharacteristic
138#10622549C2211yescharacteristic
139C4×C4⋊Dic11C2211yescharacteristic
140C4×C4⋊Dic11C2211yescharacteristic
141C4×C4⋊Dic11C2211yescharacteristic
142#10622546C2211yescharacteristic
143#10622546C2211yescharacteristic
144C42×Dic11C2211yescharacteristic
145C42×Dic11C2211yescharacteristic
146C42×Dic11C2211yescharacteristic
147#10622290C2211yescharacteristic
148#10622287C2211yescharacteristic
149#10622282C2211yescharacteristic
150#10622282C2211yescharacteristic
151#10622282C2211yescharacteristic
152#10622282C2211yescharacteristic
153#10622279C2211yescharacteristic
154#10622279C2211yescharacteristic
155#10622279C2211yescharacteristic
156#10622279C2211yescharacteristic
157#10622274C2211yescharacteristic
158#10622274C2211yescharacteristic
159#10622274C2211yescharacteristic
160#10622274C2211yescharacteristic
161#10622273C2211yescharacteristic
162#10622273C2211yescharacteristic
163#10622273C2211yescharacteristic
164#10622272C2211yescharacteristic
165#10622270C2211yescharacteristic
166#10622270C2211yescharacteristic
167#10622270C2211yescharacteristic
168#10622269C2211yescharacteristic
169#10622269C2211yescharacteristic
170#10622269C2211yescharacteristic
171#10622268C2211yescharacteristic
172#10622267C2211yescharacteristic
173#10622265C2211yescharacteristic
174#10622265C2211yescharacteristic
175#10622265C2211yescharacteristic
176#10622265C2211yescharacteristic
177#10622264C2211yescharacteristic
178#10622263C2211yescharacteristic
179#10622262C2211yescharacteristic
180#10622262C2211yescharacteristic
181#10622262C2211yescharacteristic
182#10622262C2211yescharacteristic
183#10622262C2211yescharacteristic
184#10622261C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622259C2211yescharacteristic
187C22×Q8×C11C2311yescharacteristic
188C22×Q8×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×C22⋊D11C2311yescharacteristic
191C22×C22⋊D11C2311yescharacteristic
192C23×Dic11C2311yescharacteristic
193C23×Dic11C2311yescharacteristic
194C22×C4×D11C2311yescharacteristic
195C22×Dic22C2311yescharacteristic
196C11×#124—24no—
197C4×Q8×C11—24no—
198C2×C11×C4⋊C4C2311yescharacteristic
199C2×C11×C4⋊C4C2311yescharacteristic
200C2×C11×C4⋊C4C2311yescharacteristic
201C2×C11×C4⋊C4C2311yescharacteristic
202C2×C11×C4⋊C4C2311yescharacteristic
203C2×C11×C4⋊C4C2311yescharacteristic
204C2×C11×C4⋊C4C2311yescharacteristic
205C2×C11×C22⋊C4C2311yescharacteristic
206C2×C11×C22⋊C4C2311yescharacteristic
207C2×C11×C22⋊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×C11×C22⋊C4C2311yescharacteristic
215C2×C11×C22⋊C4C2311yescharacteristic
216C2×C11×C22⋊C4C2311yescharacteristic
217C2×C42×C11C2311yescharacteristic
218C2×C42×C11C2311yescharacteristic
219C2×C42×C11C2311yescharacteristic
220C2×C22⋊Dic11C2311yescharacteristic
221C2×C22⋊Dic11C2311yescharacteristic
222C2×C22⋊Dic11C2311yescharacteristic
223C2×C22⋊Dic11C2311yescharacteristic
224C2×C22⋊Dic11C2311yescharacteristic
225C2×C22⋊Dic11C2311yescharacteristic
226C2×C22⋊Dic11C2311yescharacteristic
227C2×C22⋊Dic11C2311yescharacteristic
228C2×C22⋊Dic11C2311yescharacteristic
229C2×C22⋊Dic11C2311yescharacteristic
230C2×C22⋊Dic11C2311yescharacteristic
231C2×C22⋊Dic11C2311yescharacteristic
232Q8×Dic11—24no—
233Q8×Dic11—24no—
234Q8×Dic11—42no—
235D4×Dic11—42no—
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×C4⋊Dic11C2311yescharacteristic
249C2×C4⋊Dic11C2311yescharacteristic
250C2×C4⋊Dic11C2311yescharacteristic
251C2×C4⋊Dic11C2311yescharacteristic
252C2×C4⋊Dic11C2311yescharacteristic
253C2×C4⋊Dic11C2311yescharacteristic
254C2×C4⋊Dic11C2311yescharacteristic
255C2×C4⋊Dic11C2311yescharacteristic
256C2×C4⋊Dic11C2311yescharacteristic
257C2×C4⋊Dic11C2311yescharacteristic
258C2×C4⋊Dic11C2311yescharacteristic
259C2×C4⋊Dic11C2311yescharacteristic
260C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
277C2×Dic11⋊C4C2311yescharacteristic
278C2×Dic11⋊C4C2311yescharacteristic
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
290C2×C4×Dic11C2311yescharacteristic
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
300#66945—42no—
301#66940—42no—
302#66938—24no—
303(C22⋊D11)⋊C4—24no—
304(C22⋊D11)⋊C4—42no—
305#66932—24no—
306#66930—24no—
307#66930—42no—
308#66929—24no—
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#34603—111nomaximal, Sylow
358C24×C11C2411yescharacteristic
359C24×C11C2411yescharacteristic
360C23×D11C2411yescharacteristic
361C2×Q8×C11—22no—
362C2×Q8×C11—22no—
363C2×Q8×C11—22no—
364C2×Q8×C11—22no—
365C2×Q8×C11—41no—
366C2×Q8×C11—41no—
367C2×D4×C11—22no—
368C2×D4×C11—41no—
369C2×D4×C11—41no—
370C22×C4×C11C2411yescharacteristic
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
383C2×C22⋊D11—22no—
384C2×C22⋊D11—22no—
385C2×C22⋊D11—41no—
386C2×C22⋊D11—41no—
387C2×C22⋊D11—41no—
388C2×C22⋊D11—41no—
389C22×Dic11—22no—
390C22×Dic11—22no—
391C22×Dic11—22no—
392C22×Dic11—22no—
393C22×Dic11—22no—
394C22×Dic11—22no—
395C22×Dic11C2411yescharacteristic
396C22×Dic11C2411yescharacteristic
397C22×Dic11C2411yescharacteristic
398C22×Dic11C2411yescharacteristic
399C22×Dic11C2411yescharacteristic
400C22×Dic11C2411yescharacteristic
401C22×Dic11C2411yescharacteristic
402C22×Dic11C2411yescharacteristic
403C22×Dic11C2411yescharacteristic
404C22×Dic11C2411yescharacteristic
405C22×Dic11C2411yescharacteristic
406C22×Dic11C2411yescharacteristic
407C22×Dic11C2411yescharacteristic
408C22×Dic11C2411yescharacteristic
409C22×Dic11C2411yescharacteristic
410C2×C4×D11—22no—
411C2×C4×D11—22no—
412C2×C4×D11—22no—
413C2×Dic22—22no—
414C2×Dic22—41no—
415C2×Dic22—41no—
416C11×C4⋊C4—22no—
417C11×C4⋊C4—22no—
418C11×C4⋊C4—22no—
419C11×C4⋊C4—41no—
420C11×C4⋊C4—41no—
421C11×C4⋊C4—41no—
422C11×C4⋊C4—41no—
423C11×C22⋊C4—22no—
424C11×C22⋊C4—22no—
425C11×C22⋊C4—22no—
426C11×C22⋊C4—22no—
427C11×C22⋊C4—22no—
428C11×C22⋊C4—22no—
429C11×C22⋊C4—22no—
430C11×C22⋊C4—22no—
431C11×C22⋊C4—41no—
432C11×C22⋊C4—41no—
433C11×C22⋊C4—41no—
434C11×C22⋊C4—41no—
435C42×C11—22no—
436C42×C11—22no—
437C42×C11#4114yes—
438C22⋊Dic11—22no—
439C22⋊Dic11—22no—
440C22⋊Dic11—22no—
441C22⋊Dic11—22no—
442C22⋊Dic11—41no—
443C22⋊Dic11—41no—
444C22⋊Dic11—41no—
445C22⋊Dic11—41no—
446C22⋊Dic11—41no—
447C22⋊Dic11—41no—
448C22⋊Dic11—41no—
449C22⋊Dic11—41no—
450(C2×D11)⋊C4—22no—
451(C2×D11)⋊C4—22no—
452(C2×D11)⋊C4—22no—
453(C2×D11)⋊C4—22no—
454(C2×D11)⋊C4—22no—
455(C2×D11)⋊C4—22no—
456(C2×D11)⋊C4—41no—
457(C2×D11)⋊C4—41no—
458(C2×D11)⋊C4—41no—
459(C2×D11)⋊C4—41no—
460(C2×D11)⋊C4—41no—
461(C2×D11)⋊C4—41no—
462C4⋊Dic11—22no—
463C4⋊Dic11—22no—
464C4⋊Dic11—22no—
465C4⋊Dic11—22no—
466C4⋊Dic11—22no—
467C4⋊Dic11—22no—
468C4⋊Dic11—22no—
469C4⋊Dic11—41no—
470C4⋊Dic11—41no—
471C4⋊Dic11—41no—
472C4⋊Dic11—41no—
473C4⋊Dic11—41no—
474C4⋊Dic11—41no—
475Dic11⋊C4—22no—
476Dic11⋊C4—22no—
477Dic11⋊C4—22no—
478Dic11⋊C4—22no—
479Dic11⋊C4—22no—
480Dic11⋊C4—22no—
481Dic11⋊C4—22no—
482Dic11⋊C4—22no—
483Dic11⋊C4—41no—
484Dic11⋊C4—41no—
485Dic11⋊C4—41no—
486Dic11⋊C4—41no—
487Dic11⋊C4—41no—
488Dic11⋊C4—41no—
489Dic11⋊C4—41no—
490Dic11⋊C4—41no—
491Dic11⋊C4—41no—
492Dic11⋊C4—41no—
493C4×Dic11—22no—
494C4×Dic11—22no—
495C4×Dic11—22no—
496C4×Dic11—22no—
497C4×Dic11—22no—
498C4×Dic11—22no—
499C4×Dic11—22no—
500C4×Dic11—22no—
501C4×Dic11—22no—
502C4×Dic11—22no—
503C4×Dic11—22no—
504C4×Dic11—22no—
505C4×Dic11—22no—
506C4×Dic11—41no—
507C4×Dic11—41no—
508C4×Dic11—41no—
509C4×Dic11—41no—
510C4×Dic11—41no—
511C4×Dic11—41no—
512C4×Dic11#4114yes—
513C4×Dic11#4114yes—
514#2666—111no—
515#2666—111no—
516#2662—111no—
517#2662—111no—
518#2654—111no—
519#2654—111no—
520#2651—111no—
521#2651—111no—
522#2651—111no—
523#2651—111no—
524#2650—111no—
525#2650—111no—
526#2637—111no—
527#2637—111no—
528#2632—111no—
529#2632D1111yescharacteristic, complemented
530#2399—111no—
531#2398—111no—
532#2396—111no—
533#2396—111no—
534#2396—111no—
535#2395—111no—
536#2395—111no—
537#2392—111no—
538C4×#126—111no—
539C4×#126—111no—
540C4×#124—111no—
541C4×#124—111no—
542#2298—111no—
543#2293—111no—
544C42×Q8—111no—
545C23×C11—21no—
546C23×C11—21no—
547C23×C11—21no—
548C23×C11—21no—
549C23×C11—21no—
550C23×C11—21no—
551C23×C11—21no—
552C23×C11—21no—
553C23×C11—21no—
554C23×C11—21no—
555C23×C11—21no—
556C23×C11—21no—
557C23×C11—21no—
558C23×C11—21no—
559C23×C11C2511yescharacteristic
560C22×D11—21no—
561C22×D11—21no—
562C22×D11—21no—
563C22×D11—21no—
564C22×D11—21no—
565C22×D11—21no—
566C22×D11—21no—
567Q8×C11—28no—
568Q8×C11—44no—
569D4×C11—44no—
570C2×C4×C11—21no—
571C2×C4×C11—21no—
572C2×C4×C11—21no—
573C2×C4×C11—21no—
574C2×C4×C11—21no—
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×C11C2×#4112yes—
605C2×C4×C11C2×#4112yes—
606C2×C4×C11C2×#4112yes—
607C2×C4×C11C2×#4112yes—
608C2×C4×C11C2×#4112yes—
609C22⋊D11—44no—
610C22⋊D11—44no—
611C2×Dic11—21no—
612C2×Dic11—21no—
613C2×Dic11—21no—
614C2×Dic11—21no—
615C2×Dic11—21no—
616C2×Dic11—21no—
617C2×Dic11—21no—
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—44no—
651C2×Dic11—44no—
652C2×Dic11C2×#4112yes—
653C2×Dic11C2×#4112yes—
654C2×Dic11C2×#4112yes—
655C2×Dic11C2×#4112yes—
656C2×Dic11H(5,𝔽2)12yes—
657C2×Dic112−1+412yes—
658C4×D11—44no—
659Dic22—44no—
660C2×#126—111no—
661C2×#126—111no—
662C2×#124—111no—
663C2×#124C2×D1111yescharacteristic
664C2×C4×Q8—111no—
665C2×C4×Q8—111no—
666C2×C4×Q8—111no—
667C2×C4×Q8—111no—
668C2×C4×Q8C2×D1111yescharacteristic
669C2×C4×D4—111no—
670C2×C4×D4—111no—
671C2×C4×D4—111no—
672C2×#117—111no—
673C2×#117—111no—
674C2×#117—111no—
675#400—111no—
676#400—111no—
677#400—111no—
678#400—111no—
679#400—111no—
680#400—111no—
681#400—111no—
682#399—111no—
683#399—111no—
684#399—111no—
685#399C2×D1111yescharacteristic
686#399C2×D1111yescharacteristic
687#398—111no—
688#398—111no—
689#398—111no—
690#398—111no—
691#398—111no—
692#398—111no—
693#398—111no—
694#398—111no—
695#398—111no—
696#398—111no—
697#398—111no—
698#398—111no—
699#398—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#396—111no—
710#396—111no—
711#396—111no—
712#396—111no—
713#396—111no—
714#396—111no—
715#396—111no—
716#396—111no—
717#395—111no—
718#395—111no—
719#395—111no—
720#395—111no—
721#395—111no—
722#395C2×D1111yescharacteristic
723#395C2×D1111yescharacteristic
724#394—111no—
725#394—111no—
726#394—111no—
727#394—111no—
728#394—111no—
729#394—111no—
730#394—111no—
731#394C2×D1111yescharacteristic
732#394C2×D1111yescharacteristic
733#393—111no—
734#393—111no—
735#393—111no—
736#393C2×D1111yescharacteristic
737#393C2×D1111yescharacteristic
738#392—111no—
739#391—111no—
740#391—111no—
741#390—111no—
742#390—111no—
743#390—111no—
744#390—111no—
745#389—111no—
746#389—111no—
747#388—111no—
748#388—111no—
749#388—111no—
750#388—111no—
751#388—111no—
752#388—111no—
753#388—111no—
754#388—111no—
755#388—111no—
756#388—111no—
757#388—111no—
758#388—111no—
759#388—111no—
760#388—111no—
761#388—111no—
762#388—111no—
763#388—111no—
764#388—111no—
765#388C2×D1111yescharacteristic
766#388C2×D1111yescharacteristic
767#388C2×D1111yescharacteristic
768#388C2×D1111yescharacteristic
769#387—111no—
770#387—111no—
771#387—111no—
772#387—111no—
773#387—111no—
774#387—111no—
775#387—111no—
776#387—111no—
777#387—111no—
778#387—111no—
779#383—111no—
780#383C2×D1111yescharacteristic
781#382—111no—
782#382—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⋊C4—111no—
796C4×C4⋊C4—111no—
797C4×C4⋊C4—111no—
798C4×C4⋊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—
811#376—111no—
812C43—111no—
813C43—111no—
814C43—111no—
815C22×C11—41no—
816C22×C11—41no—
817C22×C11—41no—
818C22×C11—41no—
819C22×C11—41no—
820C22×C11—41no—
821C22×C11—41no—
822C22×C11—41no—
823C22×C11—41no—
824C22×C11—41no—
825C22×C11—41no—
826C22×C11—41no—
827C22×C11—41no—
828C22×C11—41no—
829C22×C11C22×#4111yescharacteristic
830C22×C11C22×#4111yescharacteristic
831C22×C11C22×#4111yescharacteristic
832C22×C11C2×H(5,𝔽2)11yescharacteristic
833C22×C11C2×2−1+411yescharacteristic
834C22×C11#58511yescharacteristic
835C22×C11#58511yescharacteristic
836C2×D11—41no—
837C2×D11—41no—
838C2×D11—41no—
839C2×D11—41no—
840C2×D11—41no—
841C2×D11—41no—
842C2×D11—41no—
843C4×C11—22no—
844C4×C11—22no—
845C4×C11—22no—
846C4×C11—22no—
847C4×C11—22no—
848C4×C11—41no—
849C4×C11—41no—
850C4×C11—41no—
851C4×C11—41no—
852C4×C11—41no—
853C4×C11—41no—
854C4×C11—41no—
855C4×C11—41no—
856Dic11—22no—
857Dic11—22no—
858Dic11—22no—
859Dic11—41no—
860Dic11—41no—
861Dic11—41no—
862Dic11—41no—
863Dic11—41no—
864Dic11—41no—
865Dic11—41no—
866Dic11—41no—
867Dic11—41no—
868Dic11—41no—
869Dic11—41no—
870Dic11#54214yes—
871C22×Q8—111no—
872C22×Q8C22×D1111yescharacteristic
873C22×Q8C22×D1111yescharacteristic
874C22×D4—111no—
875C22×D4—111no—
876C22×D4C22×D1111yescharacteristic
877C23×C4—111no—
878C23×C4—111no—
879C23×C4—111no—
880#126—224no—
881#126—224no—
882#124—24no—
883#124—224no—
884C4×Q8—24no—
885C4×Q8—224no—
886C4×Q8—224no—
887C4×Q8—442no—
888C4×Q8—442no—
889C4×D4—224no—
890C4×D4—442no—
891C4×D4—442no—
892#117—224no—
893#117—442no—
894#117—442no—
895C2×C4⋊C4—111no—
896C2×C4⋊C4—111no—
897C2×C4⋊C4—111no—
898C2×C4⋊C4—111no—
899C2×C4⋊C4—111no—
900C2×C4⋊C4—111no—
901C2×C4⋊C4—111no—
902C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
927C2×C4⋊C4C22×D1111yescharacteristic
928C2×C4⋊C4C22×D1111yescharacteristic
929C2×C4⋊C4C22×D1111yescharacteristic
930C2×C4⋊C4C22×D1111yescharacteristic
931C2×C4⋊C4C22×D1111yescharacteristic
932C2×C4⋊C4C22×D1111yescharacteristic
933C2×C22⋊C4—111no—
934C2×C22⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
958C2×C22⋊C4C22×D1111yescharacteristic
959C2×C22⋊C4C22×D1111yescharacteristic
960C2×C22⋊C4C22×D1111yescharacteristic
961C2×C22⋊C4C22×D1111yescharacteristic
962C2×C22⋊C4C22×D1111yescharacteristic
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—111no—
984C2×C42—111no—
985C2×C42—111no—
986C2×C42—111no—
987C2×C42—111no—
988C2×C42—111no—
989C2×C42—111no—
990C2×C42C22×D1111yescharacteristic
991C2×C42C22×D1111yescharacteristic
992C2×C42C22×D1111yescharacteristic
993#95—111no—
994#95—111no—
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#95C22×D1111yescharacteristic
1032#95C22×D1111yescharacteristic
1033#95C22×D1111yescharacteristic
1034#95C22×D1111yescharacteristic
1035#95C22×D1111yescharacteristic
1036#95C22×D1111yescharacteristic
1037#95C22×D1111yescharacteristic
1038#95C22×D1111yescharacteristic
1039#95C22×D1111yescharacteristic
1040#95C22×D1111yescharacteristic
1041C2×C11—81no—
1042C2×C11—81no—
1043C2×C11#344411yescharacteristic
1044C2×C11C2×#54211yescharacteristic
1045C2×C11#345511yescharacteristic
1046C2×C11#346011yescharacteristic
1047C2×C11#346011yescharacteristic
1048C2×C11#346111yescharacteristic
1049C2×C11#346111yescharacteristic
1050D11—81no—
1051C24—111no—
1052C24C23×D1111yescharacteristic
1053C24C23×D1111yescharacteristic
1054C2×Q8—22no—
1055C2×Q8—22no—
1056C2×Q8—22no—
1057C2×Q8—22no—
1058C2×Q8—41no—
1059C2×Q8—41no—
1060C2×Q8—222no—
1061C2×Q8—441no—
1062C2×Q8—441no—
1063C2×D4—22no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C2×D4—222no—
1067C2×D4—222no—
1068C2×D4—441no—
1069C2×D4—441no—
1070C2×D4—441no—
1071C2×D4—441no—
1072C22×C4—111no—
1073C22×C4—111no—
1074C22×C4—111no—
1075C22×C4—111no—
1076C22×C4—111no—
1077C22×C4—111no—
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—222no—
1088C22×C4—222no—
1089C22×C4—222no—
1090C22×C4—222no—
1091C22×C4—222no—
1092C22×C4—222no—
1093C22×C4—222no—
1094C22×C4—222no—
1095C22×C4—222no—
1096C22×C4C23×D1111yescharacteristic
1097C22×C4C23×D1111yescharacteristic
1098C22×C4C23×D1111yescharacteristic
1099C22×C4C23×D1111yescharacteristic
1100C22×C4C23×D1111yescharacteristic
1101C22×C4C23×D1111yescharacteristic
1102C22×C4C23×D1111yescharacteristic
1103C22×C4C23×D1111yescharacteristic
1104C22×C4C23×D1111yescharacteristic
1105C22×C4C23×D1111yescharacteristic
1106C22×C4C23×D1111yescharacteristic
1107C22×C4C23×D1111yescharacteristic
1108C22×C4C23×D1111yescharacteristic
1109C4⋊C4—22no—
1110C4⋊C4—22no—
1111C4⋊C4—22no—
1112C4⋊C4—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—222no—
1117C4⋊C4—222no—
1118C4⋊C4—222no—
1119C4⋊C4—222no—
1120C4⋊C4—222no—
1121C4⋊C4—222no—
1122C4⋊C4—222no—
1123C4⋊C4—222no—
1124C4⋊C4—222no—
1125C4⋊C4—222no—
1126C4⋊C4—222no—
1127C4⋊C4—222no—
1128C4⋊C4—222no—
1129C4⋊C4—222no—
1130C4⋊C4—222no—
1131C4⋊C4—441no—
1132C4⋊C4—441no—
1133C4⋊C4—441no—
1134C4⋊C4—441no—
1135C4⋊C4—441no—
1136C4⋊C4—441no—
1137C4⋊C4—441no—
1138C4⋊C4—441no—
1139C4⋊C4—441no—
1140C4⋊C4—441no—
1141C4⋊C4—441no—
1142C4⋊C4—441no—
1143C4⋊C4—441no—
1144C4⋊C4—441no—
1145C4⋊C4—441no—
1146C4⋊C4—441no—
1147C22⋊C4—22no—
1148C22⋊C4—22no—
1149C22⋊C4—22no—
1150C22⋊C4—22no—
1151C22⋊C4—22no—
1152C22⋊C4—22no—
1153C22⋊C4—22no—
1154C22⋊C4—22no—
1155C22⋊C4—41no—
1156C22⋊C4—41no—
1157C22⋊C4—41no—
1158C22⋊C4—41no—
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—441no—
1170C22⋊C4—441no—
1171C22⋊C4—441no—
1172C22⋊C4—441no—
1173C22⋊C4—441no—
1174C22⋊C4—441no—
1175C22⋊C4—441no—
1176C22⋊C4—441no—
1177C22⋊C4—441no—
1178C22⋊C4—441no—
1179C22⋊C4—441no—
1180C22⋊C4—441no—
1181C22⋊C4—441no—
1182C22⋊C4—441no—
1183C42—22no—
1184C42—22no—
1185C42—114no—
1186C42—114no—
1187C42—222no—
1188C42—222no—
1189C42—222no—
1190C42—222no—
1191C42—222no—
1192C42—222no—
1193C42—222no—
1194C42—222no—
1195C42—222no—
1196C42—222no—
1197C42—222no—
1198C42—222no—
1199C42—222no—
1200C42—441no—
1201C42—441no—
1202C42—441no—
1203C42—441no—
1204C42—441no—
1205C42—441no—
1206C42#434114yes—
1207C11#3460311yescharacteristic, complemented, Sylow
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—221no—
1223C23—221no—
1224C23—221no—
1225C23—221no—
1226C23—221no—
1227C23—221no—
1228C23—221no—
1229C23C24×D1111yescharacteristic
1230Q8—28no—
1231Q8—44no—
1232Q8—444no—
1233D4—44no—
1234D4—444no—
1235D4—444no—
1236C2×C4—21no—
1237C2×C4—21no—
1238C2×C4—21no—
1239C2×C4—21no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
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—112no—
1271C2×C4—112no—
1272C2×C4—112no—
1273C2×C4—112no—
1274C2×C4—112no—
1275C2×C4—112no—
1276C2×C4—221no—
1277C2×C4—221no—
1278C2×C4—221no—
1279C2×C4—221no—
1280C2×C4—221no—
1281C2×C4—221no—
1282C2×C4—221no—
1283C2×C4—221no—
1284C2×C4—221no—
1285C2×C4—221no—
1286C2×C4—221no—
1287C2×C4—221no—
1288C2×C4—221no—
1289C2×C4—221no—
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—444no—
1316C2×C4—444no—
1317C2×C4—444no—
1318C2×C4C2×#434112yes—
1319C2×C4C2×#434112yes—
1320C2×C4C2×#434112yes—
1321C2×C4#41×D1112yes—
1322C2×C4#41×D1112yes—
1323C22—41no—
1324C22—41no—
1325C22—41no—
1326C22—41no—
1327C22—41no—
1328C22—41no—
1329C22—41no—
1330C22—41no—
1331C22—41no—
1332C22—41no—
1333C22—41no—
1334C22—41no—
1335C22—41no—
1336C22—41no—
1337C22—441no—
1338C22—441no—
1339C22—441no—
1340C22—441no—
1341C22—441no—
1342C22—441no—
1343C22—441no—
1344C22C22×#434111yescharacteristic
1345C22C2×#41×D1111yescharacteristic
1346C22C2×#41×D1111yescharacteristic
1347C22D11×H(5,𝔽2)11yescharacteristic
1348C22#1062345511yescharacteristic
1349C22D11×2−1+411yescharacteristic
1350C22#1062345711yescharacteristic
1351C4—22no—
1352C4—22no—
1353C4—22no—
1354C4—22no—
1355C4—22no—
1356C4—41no—
1357C4—41no—
1358C4—41no—
1359C4—41no—
1360C4—41no—
1361C4—41no—
1362C4—41no—
1363C4—41no—
1364C4—114no—
1365C4—222no—
1366C4—222no—
1367C4—222no—
1368C4—441no—
1369C4—441no—
1370C4—441no—
1371C4—441no—
1372C4—441no—
1373C4—441no—
1374C4—441no—
1375C4—441no—
1376C4—441no—
1377C4—441no—
1378C4—441no—
1379C2—81no—
1380C2—81no—
1381C2—881no—
1382C2#1308190811yescharacteristic
1383C2D11×#54211yescharacteristic
1384C2#1308200311yescharacteristic
1385C2#1308202911yescharacteristic
1386C2#1308203611yescharacteristic
1387C2#1308204011yescharacteristic
1388C2#1308204211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2632C2
prime radical#10622836C22
hypercenter#2632D11
hypocenterC11#34603
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2632

Complements

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

NH ≅ G/Ntype
1. #13074799C2semidirect
2. #13074794C2semidirect
5. #13074696C2semidirect
6. #13074689C2semidirect
7. #13074651C2semidirect
8. #13074650C2semidirect
9. #13074649C2semidirect
10. #13074642C2semidirect
11. #13074637C2semidirect
12. #13074634C2semidirect
13. #13074522C2semidirect
14. #13074521C2semidirect
15. #13074475C2semidirect
16. #13071906C2semidirect
17. #13071898C2semidirect
18. #13071887C2semidirect
19. #13071885C2semidirect
20. #13071883C2semidirect
21. #13071881C2semidirect
22. #13071872C2semidirect
24. #13071170C2semidirect
25. #13071164C2semidirect
26. #124×Dic11C2semidirect
27. #13071157C2semidirect
28. #13071110C2semidirect
29. #13071076C2semidirect
30. C4×Q8×Dic11C2semidirect
31. C11×#2632C2semidirect
529. #2632D11semidirect
1207. C11#34603semidirect

Maximal subgroups

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

subgroupindex
#130747992
#130747942
#130747552
#130747522
#130746962
#130746892
#130746512
#130746502
#130746492
#130746422
#130746372
#130746342
#130745222
#130745212
#130744752
#130719062
#130718982
#130718872
#130718852
#130718832
#130718812
#130718722
#130718592
#130711702
#130711642
#124×Dic112
#130711572
#130711102
#130710762
C4×Q8×Dic112
C11×#26322
#3460311