Finite Group Databasebeta

← #14962192

Subgroups — #14962192

Order 2816.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076928C211yesmaximal, characteristic, complemented
2#13076916C211yesmaximal, characteristic, complemented
3#13076283C211yesmaximal, characteristic, complemented
4#13076277C211yesmaximal, characteristic, complemented
5#13076239C211yesmaximal, characteristic, complemented
6#13076057C211yesmaximal, characteristic, complemented
7#13076041C211yesmaximal, characteristic, complemented
8#13075997C211yesmaximal, characteristic, complemented
9#13075937C211yesmaximal, characteristic, complemented
10#13075837C211yesmaximal, characteristic, complemented
11#13075757C211yesmaximal, characteristic, complemented
12#13075730C211yesmaximal, characteristic, complemented
13#13075657C211yesmaximal, characteristic, complemented
14#13075653C211yesmaximal, characteristic, complemented
15#13075619C211yesmaximal, characteristic, complemented
16#13075238C211yesmaximal, characteristic, complemented
17#13074994C211yesmaximal, characteristic, complemented
18#13074401C211yesmaximal, characteristic, complemented
19#13074357C211yesmaximal, characteristic, complemented
20#13073175C211yesmaximal, characteristic, complemented
21#13072941C211yesmaximal, characteristic, complemented
22#13072359C211yesmaximal, characteristic, complemented
23#13072278C211yesmaximal, characteristic, complemented
24#13072168C211yesmaximal, characteristic, complemented
25#13072007C211yesmaximal, characteristic, complemented
26#13071986C211yesmaximal, characteristic
27#13071941C211yesmaximal, characteristic, complemented
28#13071275C211yesmaximal, characteristic, complemented
29#13071192C211yesmaximal, characteristic, complemented
30D11×#388C211yesmaximal, characteristic, complemented
31C11×#2685C211yesmaximal, characteristic, complemented
32C23×C22⋊D11C2211yescharacteristic
33C2×C11×#126C2211yescharacteristic, complemented
34C2×C11×#120C2211yescharacteristic
35C2×#66991C2211yescharacteristic
36C2×#66991C2211yescharacteristic
37C2×#66990C2211yescharacteristic
38C2×#66989C2211yescharacteristic, complemented
39C2×#66950C2211yescharacteristic, complemented
40C2×#66949C2211yescharacteristic, complemented
41C2×C4⋊C4×D11C2211yescharacteristic, complemented
42C2×#66936C2211yescharacteristic
43C2×#66936C2211yescharacteristic
44C2×#66936C2211yescharacteristic, complemented
45C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
46C2×C22⋊C4×D11C2211yescharacteristic
47C2×C22⋊C4×D11C2211yescharacteristic
48C2×C22⋊C4×D11C2211yescharacteristic
49C2×C22⋊C4×D11C2211yescharacteristic
50C2×C42×D11C2211yescharacteristic, complemented
51C11×#399C2211yescharacteristic, complemented
52C11×#396C2211yescharacteristic
53C11×#394C2211yescharacteristic
54C11×#394C2211yescharacteristic, complemented
55C11×#394C2211yescharacteristic, complemented
56C11×#394C2211yescharacteristic, complemented
57C11×#390C2211yescharacteristic
58C11×#390C2211yescharacteristic, complemented
59C11×#388C2211yescharacteristic
60C11×#388C2211yescharacteristic, complemented
61C11×#388C2211yescharacteristic, complemented
62C11×#379C2211yescharacteristic
63C11×#379C2211yescharacteristic
64#10622860C2211yescharacteristic
65#10622860C2211yescharacteristic
66#10622860C2211yescharacteristic
67#10622836C2211yescharacteristic
68#10622836C2211yescharacteristic
69#10622835C2211yescharacteristic
70#10622835C2211yescharacteristic, complemented
71#10622833C2211yescharacteristic
72#10622833C2211yescharacteristic
73#10622833C2211yescharacteristic, complemented
74#10622833C2211yescharacteristic, complemented
75#10622603C2211yescharacteristic, complemented
76#10622603C2211yescharacteristic, complemented
77#10622602C2211yescharacteristic, complemented
78#10622602C2211yescharacteristic, complemented
79#10622602C2211yescharacteristic, complemented
80#10622602C2211yescharacteristic, complemented
81#10622602C2211yescharacteristic, complemented
82#10622600C2211yescharacteristic, complemented
83#10622600C2211yescharacteristic, complemented
84#10622599C2211yescharacteristic, complemented
85#10622598C2211yescharacteristic, complemented
86#10622597C2211yescharacteristic, complemented
87#10622597C2211yescharacteristic, complemented
88#10622596C2211yescharacteristic, complemented
89#10622595C2211yescharacteristic, complemented
90#10622595C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622591C2211yescharacteristic, complemented
93#10622591C2211yescharacteristic, complemented
94#10622591C2211yescharacteristic, complemented
95#10622590C2211yescharacteristic, complemented
96#10622574C2211yescharacteristic
97#10622574C2211yescharacteristic
98#10622574C2211yescharacteristic
99#10622574C2211yescharacteristic
100#10622572C2211yescharacteristic
101#10622572C2211yescharacteristic
102#10622571C2211yescharacteristic, complemented
103#10622570C2211yescharacteristic, complemented
104#10622569C2211yescharacteristic
105#10622569C2211yescharacteristic
106#10622569C2211yescharacteristic
107#10622569C2211yescharacteristic
108#10622569C2211yescharacteristic
109#10622569C2211yescharacteristic
110#10622569C2211yescharacteristic
111#10622569C2211yescharacteristic
112#10622569C2211yescharacteristic
113#10622569C2211yescharacteristic
114#10622569C2211yescharacteristic
115#10622569C2211yescharacteristic
116#10622569C2211yescharacteristic, complemented
117#10622569C2211yescharacteristic, complemented
118#10622569C2211yescharacteristic, complemented
119#10622569C2211yescharacteristic, complemented
120#10622568C2211yescharacteristic
121#10622566C2211yescharacteristic
122#10622566C2211yescharacteristic, complemented
123#10622566C2211yescharacteristic, complemented
124#10622565C2211yescharacteristic
125#10622565C2211yescharacteristic, complemented
126#10622565C2211yescharacteristic, complemented
127#10622565C2211yescharacteristic, complemented
128#10622565C2211yescharacteristic, complemented
129#10622565C2211yescharacteristic, complemented
130#10622565C2211yescharacteristic, complemented
131#10622564C2211yescharacteristic
132#10622564C2211yescharacteristic, complemented
133#10622564C2211yescharacteristic, complemented
134#10622564C2211yescharacteristic, complemented
135#10622564C2211yescharacteristic, complemented
136#10622564C2211yescharacteristic, complemented
137#10622563C2211yescharacteristic
138#10622563C2211yescharacteristic
139#10622562C2211yescharacteristic
140#10622562C2211yescharacteristic, complemented
141#10622561C2211yescharacteristic
142#10622561C2211yescharacteristic, complemented
143#10622561C2211yescharacteristic, complemented
144#10622561C2211yescharacteristic, complemented
145#10622561C2211yescharacteristic, complemented
146#10622561C2211yescharacteristic, complemented
147#10622560C2211yescharacteristic
148#10622560C2211yescharacteristic, complemented
149#10622559C2211yescharacteristic
150#10622558C2211yescharacteristic
151#10622558C2211yescharacteristic
152#10622558C2211yescharacteristic
153#10622558C2211yescharacteristic, complemented
154#10622557C2211yescharacteristic
155#10622557C2211yescharacteristic, complemented
156#10622557C2211yescharacteristic, complemented
157#10622557C2211yescharacteristic, complemented
158#10622557C2211yescharacteristic, complemented
159#10622557C2211yescharacteristic, complemented
160#10622556C2211yescharacteristic
161#10622556C2211yescharacteristic
162#10622556C2211yescharacteristic, complemented
163#10622555C2211yescharacteristic, complemented
164#10622553C2211yescharacteristic, complemented
165#10622553C2211yescharacteristic, complemented
166C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
167#10622550C2211yescharacteristic, complemented
168#10622549C2211yescharacteristic, complemented
169#10622546C2211yescharacteristic, complemented
170#10622542C2211yescharacteristic, complemented
171#10622283C2211yescharacteristic, complemented
172#10622282C2211yescharacteristic, complemented
173#10622281C2211yescharacteristic, complemented
174#10622280C2211yescharacteristic, complemented
175#10622280C2211yescharacteristic, complemented
176#10622277C2211yescharacteristic, complemented
177D11×#95C2211yescharacteristic, complemented
178D11×#95C2211yescharacteristic, complemented
179C11⋊#401C2211yescharacteristic, complemented
180#10622274C2211yescharacteristic, complemented
181#10622273C2211yescharacteristic, complemented
182#10622273C2211yescharacteristic, complemented
183#10622272C2211yescharacteristic, complemented
184#10622270C2211yescharacteristic, complemented
185#10622264C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C24×D11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×C22⋊D11—24no—
193C22×C22⋊D11—42no—
194C22×C22⋊D11—42no—
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C22×C4×D11C2311yescharacteristic
204C22×C4×D11C2311yescharacteristic
205C22×C4×D11C2311yescharacteristic
206C22×C4×D11C2311yescharacteristic
207C22×C4×D11C2311yescharacteristic
208C22×C4×D11C2311yescharacteristic
209C22×C4×D11C2311yescharacteristic
210C22×C4×D11C2311yescharacteristic
211C22×Dic22C2311yescharacteristic
212C11×#126—42no—
213C11×#120—42no—
214C2×C11×C4⋊C4C2311yescharacteristic
215C2×C11×C4⋊C4C2311yescharacteristic
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
231C2×C11×C22⋊C4C2311yescharacteristic
232C2×C11×C22⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
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
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264#66991—42no—
265#66991—42no—
266#66990—24no—
267#66989—42no—
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
275C2×(C2×D11)⋊C4C2311yescharacteristic
276C2×(C2×D11)⋊C4C2311yescharacteristic
277C2×(C2×D11)⋊C4C2311yescharacteristic
278C2×(C2×D11)⋊C4C2311yescharacteristic
279C2×(C2×D11)⋊C4C2311yescharacteristic
280C2×(C2×D11)⋊C4C2311yescharacteristic
281C2×(C2×D11)⋊C4C2311yescharacteristic
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×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×Dic11⋊C4C2311yescharacteristic
300C2×Dic11⋊C4C2311yescharacteristic
301C2×Dic11⋊C4C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C2×C4×Dic11C2311yescharacteristic
304C2×C4×Dic11C2311yescharacteristic
305C2×C4×Dic11C2311yescharacteristic
306C2×C4×Dic11C2311yescharacteristic
307#66950—42no—
308#66949—42no—
309C4⋊C4×D11—42no—
310#66936—42no—
311#66936—42no—
312#66936—42no—
313(C22⋊D11)⋊C4—42no—
314C22⋊C4×D11—24no—
315C22⋊C4×D11—42no—
316C22⋊C4×D11—42no—
317C22⋊C4×D11—42no—
318C42×D11—42no—
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#36779—111nomaximal, Sylow
364C24×C11—22no—
365C24×C11—41no—
366C24×C11—41no—
367C24×C11—41no—
368C24×C11—41no—
369C24×C11—41no—
370C24×C11—41no—
371C24×C11C2411yescharacteristic
372C24×C11C2411yescharacteristic
373C24×C11C2411yescharacteristic
374C24×C11C2411yescharacteristic
375C23×D11—22no—
376C23×D11—22no—
377C23×D11—41no—
378C23×D11—41no—
379C23×D11—41no—
380C23×D11—41no—
381C23×D11#4114yes—
382C23×D11C2411yescharacteristic
383C23×D11C2411yescharacteristic
384C2×D4×C11—22no—
385C2×D4×C11—22no—
386C2×D4×C11—41no—
387C2×D4×C11—41no—
388C2×D4×C11—41no—
389C2×D4×C11—41no—
390C2×D4×C11—41no—
391C2×D4×C11—41no—
392C2×D4×C11—41no—
393C22×C4×C11C2411yescharacteristic
394C22×C4×C11C2411yescharacteristic
395C22×C4×C11C2411yescharacteristic
396C22×C4×C11C2411yescharacteristic
397C22×C4×C11C2411yescharacteristic
398C22×C4×C11C2411yescharacteristic
399C22×C4×C11C2411yescharacteristic
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C2×C22⋊D11—22no—
405C2×C22⋊D11—22no—
406C2×C22⋊D11—22no—
407C2×C22⋊D11—22no—
408C2×C22⋊D11—22no—
409C2×C22⋊D11—22no—
410C2×C22⋊D11—22no—
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11—22no—
414C2×C22⋊D11—22no—
415C2×C22⋊D11—22no—
416C2×C22⋊D11—41no—
417C2×C22⋊D11—41no—
418C2×C22⋊D11—41no—
419C2×C22⋊D11—41no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—416no—
423C22×Dic11—22no—
424C22×Dic11—41no—
425C22×Dic11—41no—
426C22×Dic11—41no—
427C22×Dic11—41no—
428C22×Dic11—41no—
429C22×Dic11C2411yescharacteristic
430C22×Dic11C2411yescharacteristic
431C22×Dic11C2411yescharacteristic
432C22×Dic11C2411yescharacteristic
433C22×Dic11C2411yescharacteristic
434C22×Dic11C2411yescharacteristic
435C22×Dic11C2411yescharacteristic
436C22×Dic11C2411yescharacteristic
437C22×Dic11C2411yescharacteristic
438C22×Dic11C2411yescharacteristic
439C22×Dic11C2411yescharacteristic
440C22×Dic11C2411yescharacteristic
441C22×Dic11C2411yescharacteristic
442C22×Dic11C2411yescharacteristic
443C2×C4×D11—22no—
444C2×C4×D11—22no—
445C2×C4×D11—22no—
446C2×C4×D11—22no—
447C2×C4×D11—22no—
448C2×C4×D11—22no—
449C2×C4×D11—22no—
450C2×C4×D11—22no—
451C2×C4×D11—22no—
452C2×C4×D11—41no—
453C2×C4×D11—41no—
454C2×C4×D11—41no—
455C2×C4×D11—41no—
456C2×C4×D11—41no—
457C2×C4×D11—41no—
458C2×C4×D11—41no—
459C2×C4×D11—41no—
460C2×C4×D11—41no—
461C2×C4×D11—41no—
462C2×C4×D11—41no—
463C2×C4×D11—41no—
464C2×C4×D11—41no—
465C2×C4×D11—41no—
466C2×C4×D11—41no—
467C2×Dic22—22no—
468C2×Dic22—41no—
469C2×Dic22—41no—
470C11×C4⋊C4—22no—
471C11×C4⋊C4—41no—
472C11×C4⋊C4—41no—
473C11×C4⋊C4—41no—
474C11×C4⋊C4—41no—
475C11×C4⋊C4—41no—
476C11×C22⋊C4—22no—
477C11×C22⋊C4—22no—
478C11×C22⋊C4—22no—
479C11×C22⋊C4—41no—
480C11×C22⋊C4—41no—
481C11×C22⋊C4—41no—
482C11×C22⋊C4—41no—
483C11×C22⋊C4—41no—
484C11×C22⋊C4—41no—
485C11×C22⋊C4—41no—
486C11×C22⋊C4—41no—
487C11×C22⋊C4—41no—
488C11×C22⋊C4—41no—
489C11×C22⋊C4—41no—
490C11×C22⋊C4—41no—
491C11×C22⋊C4—41no—
492C11×C22⋊C4—41no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C42×C11—22no—
496C42×C11—41no—
497C22⋊Dic11—22no—
498C22⋊Dic11—22no—
499C22⋊Dic11—41no—
500C22⋊Dic11—41no—
501C22⋊Dic11—41no—
502C22⋊Dic11—41no—
503C22⋊Dic11—41no—
504C22⋊Dic11—41no—
505C22⋊Dic11—41no—
506C22⋊Dic11—41no—
507C22⋊Dic11—41no—
508C22⋊Dic11—41no—
509C22⋊Dic11—41no—
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513C22⋊Dic11—41no—
514C22⋊Dic11—41no—
515C22⋊Dic11—41no—
516C22⋊Dic11—41no—
517C22⋊Dic11—41no—
518C22⋊Dic11—41no—
519C22⋊Dic11—41no—
520(C2×D11)⋊C4—22no—
521(C2×D11)⋊C4—22no—
522(C2×D11)⋊C4—22no—
523(C2×D11)⋊C4—22no—
524(C2×D11)⋊C4—22no—
525(C2×D11)⋊C4—22no—
526(C2×D11)⋊C4—22no—
527(C2×D11)⋊C4—22no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—41no—
530(C2×D11)⋊C4—41no—
531(C2×D11)⋊C4—41no—
532(C2×D11)⋊C4—41no—
533(C2×D11)⋊C4—41no—
534C4⋊Dic11—41no—
535C4⋊Dic11—41no—
536C4⋊Dic11—41no—
537C4⋊Dic11—41no—
538C4⋊Dic11—41no—
539C4⋊Dic11—41no—
540C4⋊Dic11—41no—
541C4⋊Dic11—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544Dic11⋊C4—41no—
545Dic11⋊C4—41no—
546Dic11⋊C4—41no—
547Dic11⋊C4—41no—
548Dic11⋊C4—41no—
549Dic11⋊C4—41no—
550Dic11⋊C4—41no—
551Dic11⋊C4—41no—
552Dic11⋊C4—41no—
553Dic11⋊C4—41no—
554C4×Dic11—22no—
555C4×Dic11—41no—
556C4×Dic11—41no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559#2852—111no—
560#2850—111no—
561#2781—111no—
562#2781—111no—
563#2778—111no—
564#2765—111no—
565#2764—111no—
566#2761—111no—
567#2756—111no—
568#2749—111no—
569#2743—111no—
570#2741—111no—
571#2735—111no—
572#2735—111no—
573#2730—111no—
574#2702—111no—
575#2685D1111yescharacteristic, complemented
576#2684—111no—
577#2623—111no—
578#2618—111no—
579#2510—111no—
580#2488—111no—
581#2444—111no—
582#2437—111no—
583#2425—111no—
584#2412—111no—
585#2410—111no—
586#2405—111no—
587#2321—111no—
588#2308—111no—
589C2×#388—111no—
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—21no—
605C23×C11—21no—
606C23×C11—21no—
607C23×C11—21no—
608C23×C11—21no—
609C23×C11—21no—
610C23×C11—21no—
611C23×C11—21no—
612C23×C11—21no—
613C23×C11—21no—
614C23×C11—21no—
615C23×C11—21no—
616C23×C11—21no—
617C23×C11—44no—
618C23×C11—82no—
619C23×C11—82no—
620C23×C11—82no—
621C23×C11—82no—
622C23×C11—82no—
623C23×C11—82no—
624C23×C11C2×#4112yes—
625C23×C11C2511yescharacteristic
626C22×D11—21no—
627C22×D11—21no—
628C22×D11—21no—
629C22×D11—21no—
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—28no—
637C22×D11—44no—
638C22×D11—44no—
639C22×D11—82no—
640C22×D11—82no—
641C22×D11—82no—
642C22×D11—82no—
643C22×D11C2×#4112yes—
644C22×D11C2×#4112yes—
645C22×D11H(5,𝔽2)12yes—
646C22×D11H(5,𝔽2)12yes—
647D4×C11—82no—
648D4×C11—82no—
649D4×C11—82no—
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—21no—
657C2×C4×C11—21no—
658C2×C4×C11—21no—
659C2×C4×C11—21no—
660C2×C4×C11—21no—
661C2×C4×C11—21no—
662C2×C4×C11—21no—
663C2×C4×C11—21no—
664C2×C4×C11—21no—
665C2×C4×C11—21no—
666C2×C4×C11—21no—
667C2×C4×C11—21no—
668C2×C4×C11—21no—
669C2×C4×C11—21no—
670C2×C4×C11—21no—
671C2×C4×C11—21no—
672C2×C4×C11—21no—
673C2×C4×C11—21no—
674C2×C4×C11—21no—
675C2×C4×C11—21no—
676C2×C4×C11—21no—
677C2×C4×C11—21no—
678C2×C4×C11—21no—
679C2×C4×C11—21no—
680C2×C4×C11—21no—
681C2×C4×C11—21no—
682C2×C4×C11H(5,𝔽2)12yes—
683C22⋊D11—44no—
684C22⋊D11—44no—
685C22⋊D11—44no—
686C22⋊D11—44no—
687C22⋊D11—44no—
688C22⋊D11—82no—
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—21no—
714C2×Dic11—21no—
715C2×Dic11—21no—
716C2×Dic11—21no—
717C2×Dic11—21no—
718C2×Dic11—21no—
719C2×Dic11—21no—
720C2×Dic11—21no—
721C2×Dic11—21no—
722C2×Dic11—21no—
723C2×Dic11—21no—
724C2×Dic11—21no—
725C2×Dic11—21no—
726C2×Dic11—21no—
727C2×Dic11—21no—
728C2×Dic11—21no—
729C2×Dic11—21no—
730C2×Dic11—21no—
731C2×Dic11—44no—
732C2×Dic11—82no—
733C4×D11—44no—
734C4×D11—44no—
735C4×D11—44no—
736C4×D11—44no—
737C4×D11—82no—
738C4×D11—82no—
739C4×D11—82no—
740C4×D11—82no—
741Dic22—82no—
742C23×D4—111no—
743C2×#126C2×D1111yescharacteristic, complemented
744C2×#124—111no—
745C2×#123—111no—
746C2×#123—111no—
747C2×#123—111no—
748C2×C22⋊Q8—111no—
749C2×C22⋊Q8—111no—
750C2×#121—111no—
751C2×#121—111no—
752C2×#120—111no—
753C2×#120C2×D1111yescharacteristic
754C2×C4×D4—111no—
755C22×C4⋊C4—111no—
756C22×C22⋊C4—111no—
757C22×C22⋊C4—111no—
758C22×C22⋊C4—111no—
759C22×C22⋊C4—111no—
760C22×C42—111no—
761#401—111no—
762#400—111no—
763#400—111no—
764#400—111no—
765#400—111no—
766#400—111no—
767#400—111no—
768#399—111no—
769#399—111no—
770#399C2×D1111yescharacteristic, complemented
771#398—111no—
772#398—111no—
773#398—111no—
774#398—111no—
775#398—111no—
776#397—111no—
777#397—111no—
778#397—111no—
779#397—111no—
780#397—111no—
781#397—111no—
782#397—111no—
783#397—111no—
784#397—111no—
785#397—111no—
786#396—111no—
787#396—111no—
788#396—111no—
789#396—111no—
790#396—111no—
791#396—111no—
792#396C2×D1111yescharacteristic
793#394—111no—
794#394—111no—
795#394—111no—
796#394—111no—
797#394—111no—
798#394—111no—
799#394—111no—
800#394—111no—
801#394C2×D1111yescharacteristic
802#394C2×D1111yescharacteristic, complemented
803#394C2×D1111yescharacteristic, complemented
804#394C2×D1111yescharacteristic, complemented
805#393—111no—
806#393—111no—
807#392—111no—
808#392—111no—
809#391—111no—
810#391—111no—
811#390—111no—
812#390C2×D1111yescharacteristic
813#390C2×D1111yescharacteristic, complemented
814#389—111no—
815#388—111no—
816#388—111no—
817#388—111no—
818#388—111no—
819#388—111no—
820#388—111no—
821#388—111no—
822#388—111no—
823#388—111no—
824#388—111no—
825#388—111no—
826#388—111no—
827#388—111no—
828#388—111no—
829#388—111no—
830#388—111no—
831#388—111no—
832#388—111no—
833#388—111no—
834#388—111no—
835#388—111no—
836#388—111no—
837#388C2×D1111yescharacteristic
838#388C2×D1111yescharacteristic, complemented
839#388C2×D1111yescharacteristic, complemented
840#387—111no—
841#387—111no—
842#387—111no—
843#387—111no—
844#387—111no—
845#386—111no—
846#386—111no—
847#386—111no—
848#386—111no—
849#386—111no—
850#386—111no—
851#386—111no—
852#386—111no—
853#386—111no—
854#386—111no—
855#386—111no—
856#386—111no—
857#386—111no—
858#386—111no—
859#386—111no—
860#386—111no—
861#386—111no—
862#386—111no—
863#386—111no—
864#386—111no—
865#386—111no—
866#385—111no—
867#385—111no—
868#385—111no—
869#385—111no—
870#385—111no—
871#385—111no—
872#385—111no—
873#385—111no—
874#385—111no—
875#383—111no—
876#383—111no—
877#382—111no—
878#382—111no—
879#381—111no—
880#381—111no—
881#381—111no—
882#381—111no—
883#380—111no—
884#380—111no—
885#380—111no—
886#380—111no—
887#380—111no—
888#379—111no—
889#379—111no—
890#379—111no—
891#379—111no—
892#379C2×D1111yescharacteristic
893#379C2×D1111yescharacteristic
894C4×C22⋊C4—111no—
895C2×#95—111no—
896C2×#95—111no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—22no—
900C22×C11—41no—
901C22×C11—41no—
902C22×C11—41no—
903C22×C11—41no—
904C22×C11—41no—
905C22×C11—41no—
906C22×C11—41no—
907C22×C11—41no—
908C22×C11—41no—
909C22×C11—41no—
910C22×C11—41no—
911C22×C11—41no—
912C22×C11—41no—
913C22×C11—41no—
914C22×C11—41no—
915C22×C11—41no—
916C22×C11—41no—
917C22×C11—41no—
918C22×C11—41no—
919C22×C11—41no—
920C22×C11—41no—
921C22×C11—41no—
922C22×C11—41no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—88no—
926C22×C11C22×#4111yescharacteristic
927C22×C11C2×H(5,𝔽2)11yescharacteristic
928C22×C11C2×H(5,𝔽2)11yescharacteristic
929C22×C11C2×H(5,𝔽2)11yescharacteristic
930C22×C11#58511yescharacteristic
931C22×C11#58511yescharacteristic
932C22×C11#58511yescharacteristic
933C2×D11—22no—
934C2×D11—22no—
935C2×D11—22no—
936C2×D11—22no—
937C2×D11—22no—
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—41no—
943C2×D11—41no—
944C2×D11—41no—
945C2×D11—41no—
946C2×D11—88no—
947C2×D11#53814yes—
948C4×C11—22no—
949C4×C11—41no—
950C4×C11—41no—
951C4×C11—41no—
952C4×C11—41no—
953C4×C11—41no—
954C4×C11—41no—
955C4×C11—41no—
956C4×C11—41no—
957C4×C11—41no—
958C4×C11—41no—
959Dic11—41no—
960Dic11—41no—
961Dic11—41no—
962Dic11—41no—
963Dic11—41no—
964Dic11—41no—
965Dic11—41no—
966Dic11—41no—
967Dic11—41no—
968Dic11—41no—
969Dic11—41no—
970Dic11—41no—
971Dic11—41no—
972Dic11—41no—
973C25—111no—
974C25C22×D1111yescharacteristic
975C22×Q8—111no—
976C22×D4—111no—
977C22×D4—111no—
978C22×D4—111no—
979C22×D4—111no—
980C22×D4—111no—
981C22×D4—111no—
982C22×D4—224no—
983C22×D4—442no—
984C22×D4—442no—
985C22×D4C22×D1111yescharacteristic
986C22×D4C22×D1111yescharacteristic
987C22×D4C22×D1111yescharacteristic
988C23×C4—111no—
989C23×C4—111no—
990C23×C4—111no—
991C23×C4—111no—
992C23×C4—111no—
993C23×C4—111no—
994C23×C4—111no—
995C23×C4—111no—
996C23×C4—111no—
997C23×C4—111no—
998#126—42no—
999#124—442no—
1000#123—442no—
1001#123—442no—
1002#123—442no—
1003C22⋊Q8—442no—
1004C22⋊Q8—442no—
1005#121—442no—
1006#121—442no—
1007#120—42no—
1008#120—224no—
1009C4×D4—442no—
1010C2×C4⋊C4—111no—
1011C2×C4⋊C4—111no—
1012C2×C4⋊C4—111no—
1013C2×C4⋊C4—111no—
1014C2×C4⋊C4—111no—
1015C2×C4⋊C4—111no—
1016C2×C4⋊C4—111no—
1017C2×C4⋊C4—111no—
1018C2×C4⋊C4—111no—
1019C2×C4⋊C4—111no—
1020C2×C4⋊C4—111no—
1021C2×C4⋊C4—111no—
1022C2×C4⋊C4—111no—
1023C2×C4⋊C4—111no—
1024C2×C4⋊C4—111no—
1025C2×C4⋊C4—111no—
1026C2×C4⋊C4—111no—
1027C2×C4⋊C4—111no—
1028C2×C4⋊C4—111no—
1029C2×C4⋊C4—111no—
1030C2×C4⋊C4—442no—
1031C2×C4⋊C4C22×D1111yescharacteristic
1032C2×C4⋊C4C22×D1111yescharacteristic
1033C2×C4⋊C4C22×D1111yescharacteristic
1034C2×C4⋊C4C22×D1111yescharacteristic
1035C2×C4⋊C4C22×D1111yescharacteristic
1036C2×C4⋊C4C22×D1111yescharacteristic
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—111no—
1044C2×C22⋊C4—111no—
1045C2×C22⋊C4—111no—
1046C2×C22⋊C4—111no—
1047C2×C22⋊C4—111no—
1048C2×C22⋊C4—111no—
1049C2×C22⋊C4—111no—
1050C2×C22⋊C4—111no—
1051C2×C22⋊C4—111no—
1052C2×C22⋊C4—111no—
1053C2×C22⋊C4—111no—
1054C2×C22⋊C4—111no—
1055C2×C22⋊C4—111no—
1056C2×C22⋊C4—111no—
1057C2×C22⋊C4—111no—
1058C2×C22⋊C4—111no—
1059C2×C22⋊C4—111no—
1060C2×C22⋊C4—111no—
1061C2×C22⋊C4—111no—
1062C2×C22⋊C4—111no—
1063C2×C22⋊C4—111no—
1064C2×C22⋊C4—111no—
1065C2×C22⋊C4—111no—
1066C2×C22⋊C4—111no—
1067C2×C22⋊C4—111no—
1068C2×C22⋊C4—111no—
1069C2×C22⋊C4—111no—
1070C2×C22⋊C4—111no—
1071C2×C22⋊C4—111no—
1072C2×C22⋊C4—111no—
1073C2×C22⋊C4—111no—
1074C2×C22⋊C4—224no—
1075C2×C22⋊C4—442no—
1076C2×C22⋊C4—442no—
1077C2×C22⋊C4—442no—
1078C2×C22⋊C4C22×D1111yescharacteristic
1079C2×C22⋊C4C22×D1111yescharacteristic
1080C2×C22⋊C4C22×D1111yescharacteristic
1081C2×C22⋊C4C22×D1111yescharacteristic
1082C2×C22⋊C4C22×D1111yescharacteristic
1083C2×C22⋊C4C22×D1111yescharacteristic
1084C2×C22⋊C4C22×D1111yescharacteristic
1085C2×C22⋊C4C22×D1111yescharacteristic
1086C2×C22⋊C4C22×D1111yescharacteristic
1087C2×C22⋊C4C22×D1111yescharacteristic
1088C2×C22⋊C4C22×D1111yescharacteristic
1089C2×C22⋊C4C22×D1111yescharacteristic
1090C2×C22⋊C4C22×D1111yescharacteristic
1091C2×C22⋊C4C22×D1111yescharacteristic
1092C2×C22⋊C4C22×D1111yescharacteristic
1093C2×C22⋊C4C22×D1111yescharacteristic
1094C2×C22⋊C4C22×D1111yescharacteristic
1095C2×C22⋊C4C22×D1111yescharacteristic
1096C2×C22⋊C4C22×D1111yescharacteristic
1097C2×C42—111no—
1098C2×C42—111no—
1099C2×C42—111no—
1100C2×C42—111no—
1101C2×C42—111no—
1102C2×C42—442no—
1103C2×C42C22×D1111yescharacteristic
1104C2×C42C22×D1111yescharacteristic
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#95—111no—
1116#95—111no—
1117#95—111no—
1118#95—111no—
1119#95—111no—
1120#95—111no—
1121#95—111no—
1122#95—111no—
1123#95—111no—
1124#95—111no—
1125#95—111no—
1126#95—111no—
1127#95—111no—
1128#95—111no—
1129#95—111no—
1130#95—111no—
1131#95—111no—
1132#95—111no—
1133#95—111no—
1134#95—111no—
1135#95—111no—
1136#95—111no—
1137#95—111no—
1138#95—111no—
1139#95—111no—
1140#95—111no—
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95C22×D1111yescharacteristic
1146#95C22×D1111yescharacteristic
1147#95C22×D1111yescharacteristic
1148#95C22×D1111yescharacteristic
1149C2×C11—42no—
1150C2×C11—81no—
1151C2×C11—81no—
1152C2×C11—81no—
1153C2×C11C2×#53811yescharacteristic
1154C2×C11#349111yescharacteristic
1155C2×C11#350511yescharacteristic
1156C2×C11#353411yescharacteristic
1157C2×C11#354211yescharacteristic
1158C2×C11#354511yescharacteristic
1159C2×C11#356011yescharacteristic
1160D11—24no—
1161D11—42no—
1162C24—22no—
1163C24—41no—
1164C24—41no—
1165C24—41no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—111no—
1170C24—111no—
1171C24—114no—
1172C24—222no—
1173C24—222no—
1174C24—441no—
1175C24—441no—
1176C24—441no—
1177C24—441no—
1178C24C23×D1111yescharacteristic
1179C24C23×D1111yescharacteristic
1180C24C23×D1111yescharacteristic
1181C24C23×D1111yescharacteristic
1182C2×Q8—222no—
1183C2×Q8—441no—
1184C2×Q8—441no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—222no—
1195C2×D4—222no—
1196C2×D4—222no—
1197C2×D4—222no—
1198C2×D4—222no—
1199C2×D4—222no—
1200C2×D4—222no—
1201C2×D4—222no—
1202C2×D4—222no—
1203C2×D4—222no—
1204C2×D4—222no—
1205C2×D4—222no—
1206C2×D4—441no—
1207C2×D4—441no—
1208C2×D4—441no—
1209C2×D4—441no—
1210C2×D4—441no—
1211C2×D4—441no—
1212C2×D4—4416no—
1213C22×C4—111no—
1214C22×C4—111no—
1215C22×C4—111no—
1216C22×C4—111no—
1217C22×C4—111no—
1218C22×C4—111no—
1219C22×C4—111no—
1220C22×C4—111no—
1221C22×C4—111no—
1222C22×C4—111no—
1223C22×C4—111no—
1224C22×C4—111no—
1225C22×C4—111no—
1226C22×C4—111no—
1227C22×C4—222no—
1228C22×C4—222no—
1229C22×C4—222no—
1230C22×C4—222no—
1231C22×C4—222no—
1232C22×C4—222no—
1233C22×C4—222no—
1234C22×C4—222no—
1235C22×C4—222no—
1236C22×C4—222no—
1237C22×C4—441no—
1238C22×C4—441no—
1239C22×C4—441no—
1240C22×C4—441no—
1241C22×C4—441no—
1242C22×C4—441no—
1243C22×C4—441no—
1244C22×C4—441no—
1245C22×C4—441no—
1246C22×C4—441no—
1247C22×C4—441no—
1248C22×C4—441no—
1249C22×C4—441no—
1250C22×C4—441no—
1251C22×C4—441no—
1252C22×C4—441no—
1253C22×C4—441no—
1254C22×C4—441no—
1255C22×C4—441no—
1256C22×C4—441no—
1257C22×C4C23×D1111yescharacteristic
1258C22×C4C23×D1111yescharacteristic
1259C22×C4C23×D1111yescharacteristic
1260C22×C4C23×D1111yescharacteristic
1261C22×C4C23×D1111yescharacteristic
1262C22×C4C23×D1111yescharacteristic
1263C22×C4C23×D1111yescharacteristic
1264C22×C4C23×D1111yescharacteristic
1265C22×C4C23×D1111yescharacteristic
1266C22×C4C23×D1111yescharacteristic
1267C22×C4C23×D1111yescharacteristic
1268C4⋊C4—22no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—441no—
1275C4⋊C4—441no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C4⋊C4—441no—
1285C4⋊C4—441no—
1286C4⋊C4—441no—
1287C4⋊C4—441no—
1288C4⋊C4—441no—
1289C4⋊C4—441no—
1290C4⋊C4—441no—
1291C4⋊C4—441no—
1292C4⋊C4—441no—
1293C4⋊C4—441no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—222no—
1314C22⋊C4—222no—
1315C22⋊C4—222no—
1316C22⋊C4—222no—
1317C22⋊C4—222no—
1318C22⋊C4—222no—
1319C22⋊C4—222no—
1320C22⋊C4—222no—
1321C22⋊C4—222no—
1322C22⋊C4—222no—
1323C22⋊C4—222no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4—441no—
1328C22⋊C4—441no—
1329C22⋊C4—441no—
1330C22⋊C4—441no—
1331C22⋊C4—441no—
1332C22⋊C4—441no—
1333C22⋊C4—441no—
1334C22⋊C4—441no—
1335C22⋊C4—441no—
1336C22⋊C4—441no—
1337C22⋊C4—441no—
1338C22⋊C4—441no—
1339C22⋊C4—441no—
1340C22⋊C4—441no—
1341C22⋊C4—441no—
1342C22⋊C4—441no—
1343C22⋊C4—441no—
1344C22⋊C4—441no—
1345C22⋊C4—441no—
1346C22⋊C4—441no—
1347C22⋊C4—441no—
1348C22⋊C4—441no—
1349C22⋊C4—441no—
1350C42—22no—
1351C42—41no—
1352C42—222no—
1353C42—441no—
1354C42—441no—
1355C42—441no—
1356C42—441no—
1357C11#3677911yescharacteristic, complemented, Sylow
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—44no—
1386C23—82no—
1387C23—82no—
1388C23—82no—
1389C23—82no—
1390C23—82no—
1391C23—82no—
1392C23—112no—
1393C23—112no—
1394C23—112no—
1395C23—112no—
1396C23—228no—
1397C23—221no—
1398C23—221no—
1399C23—221no—
1400C23—221no—
1401C23—221no—
1402C23—221no—
1403C23—221no—
1404C23—221no—
1405C23—221no—
1406C23—221no—
1407C23—444no—
1408C23—444no—
1409C23—882no—
1410C23—882no—
1411C23—882no—
1412C23—882no—
1413C23#41×D1112yes—
1414C23C24×D1111yescharacteristic
1415Q8—882no—
1416D4—82no—
1417D4—82no—
1418D4—82no—
1419D4—444no—
1420D4—444no—
1421D4—444no—
1422D4—444no—
1423D4—444no—
1424D4—882no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—221no—
1458C2×C4—221no—
1459C2×C4—221no—
1460C2×C4—221no—
1461C2×C4—221no—
1462C2×C4—221no—
1463C2×C4—221no—
1464C2×C4—221no—
1465C2×C4—221no—
1466C2×C4—221no—
1467C2×C4—221no—
1468C2×C4—221no—
1469C2×C4—221no—
1470C2×C4—221no—
1471C2×C4—221no—
1472C2×C4—221no—
1473C2×C4—221no—
1474C2×C4—221no—
1475C2×C4—221no—
1476C2×C4—221no—
1477C2×C4—221no—
1478C2×C4—221no—
1479C2×C4—221no—
1480C2×C4—221no—
1481C2×C4—221no—
1482C2×C4—221no—
1483C2×C4—221no—
1484C2×C4—221no—
1485C2×C4—221no—
1486C2×C4—221no—
1487C2×C4—221no—
1488C2×C4—221no—
1489C2×C4—221no—
1490C2×C4—221no—
1491C2×C4—221no—
1492C2×C4—221no—
1493C2×C4—221no—
1494C2×C4—221no—
1495C2×C4—221no—
1496C2×C4—221no—
1497C2×C4—221no—
1498C2×C4—221no—
1499C2×C4—444no—
1500C2×C4—444no—
1501C2×C4—444no—
1502C2×C4—444no—
1503C2×C4—444no—
1504C2×C4—882no—
1505C2×C4—882no—
1506C2×C4—882no—
1507C2×C4—882no—
1508C2×C4—882no—
1509C2×C4#6703712yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—88no—
1539C22—114no—
1540C22—222no—
1541C22—222no—
1542C22—222no—
1543C22—222no—
1544C22—222no—
1545C22—222no—
1546C22—222no—
1547C22—222no—
1548C22—222no—
1549C22—441no—
1550C22—441no—
1551C22—441no—
1552C22—441no—
1553C22—888no—
1554C22C2×#6703711yescharacteristic
1555C22C2×#41×D1111yescharacteristic
1556C22#1062345311yescharacteristic
1557C22D11×H(5,𝔽2)11yescharacteristic
1558C22D11×H(5,𝔽2)11yescharacteristic
1559C22#1062345511yescharacteristic
1560C22#1062345511yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—441no—
1573C4—441no—
1574C4—441no—
1575C4—441no—
1576C4—441no—
1577C4—441no—
1578C4—441no—
1579C4—441no—
1580C4—441no—
1581C4—441no—
1582C4—441no—
1583C4—441no—
1584C4—441no—
1585C4—441no—
1586C2—42no—
1587C2—81no—
1588C2—81no—
1589C2—81no—
1590C2—224no—
1591C2—442no—
1592C2D11×#53811yescharacteristic
1593C2#1308230711yescharacteristic
1594C2#1308244311yescharacteristic
1595C2#1308279811yescharacteristic
1596C2#1308293411yescharacteristic
1597C2#1308296711yescharacteristic
1598C2#1308316611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2685C2
prime radical#13071986C2
hypercenter#2685D11
hypocenterC11#36779
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
1. #13076928C2semidirect
2. #13076916C2semidirect
3. #13076283C2semidirect
4. #13076277C2semidirect
5. #13076239C2semidirect
6. #13076057C2semidirect
7. #13076041C2semidirect
8. #13075997C2semidirect
9. #13075937C2semidirect
10. #13075837C2semidirect
11. #13075757C2semidirect
12. #13075730C2semidirect
13. #13075657C2semidirect
14. #13075653C2semidirect
15. #13075619C2semidirect
16. #13075238C2semidirect
17. #13074994C2semidirect
18. #13074401C2semidirect
19. #13074357C2semidirect
20. #13073175C2semidirect
21. #13072941C2semidirect
22. #13072359C2semidirect
23. #13072278C2semidirect
24. #13072168C2semidirect
25. #13072007C2semidirect
27. #13071941C2semidirect
28. #13071275C2semidirect
29. #13071192C2semidirect
30. D11×#388C2semidirect
31. C11×#2685C2semidirect
33. C2×C11×#126C22semidirect
38. C2×#66989C22semidirect
39. C2×#66950C22semidirect
40. C2×#66949C22semidirect
41. C2×C4⋊C4×D11C22semidirect
44. C2×#66936C22semidirect
45. C2×(C22⋊D11)⋊C4C22semidirect
50. C2×C42×D11C22semidirect
51. C11×#399C22semidirect
54. C11×#394C22semidirect
55. C11×#394C22semidirect
56. C11×#394C22semidirect
58. C11×#390C22semidirect
60. C11×#388C22semidirect
61. C11×#388C22semidirect
70. #10622835C22semidirect
73. #10622833C22semidirect
74. #10622833C22semidirect
75. #10622603C22semidirect
76. #10622603C22semidirect
77. #10622602C22semidirect
78. #10622602C22semidirect
79. #10622602C22semidirect
80. #10622602C22semidirect
81. #10622602C22semidirect
82. #10622600C22semidirect
83. #10622600C22semidirect
84. #10622599C22semidirect
85. #10622598C22semidirect
86. #10622597C22semidirect
87. #10622597C22semidirect
88. #10622596C22semidirect
89. #10622595C22semidirect
90. #10622595C22semidirect
91. #10622594C22semidirect
92. #10622591C22semidirect
93. #10622591C22semidirect
94. #10622591C22semidirect
95. #10622590C22semidirect
102. #10622571C22semidirect
103. #10622570C22semidirect
116. #10622569C22semidirect
117. #10622569C22semidirect
118. #10622569C22semidirect
119. #10622569C22semidirect
122. #10622566C22semidirect
123. #10622566C22semidirect
125. #10622565C22semidirect
126. #10622565C22semidirect
127. #10622565C22semidirect
128. #10622565C22semidirect
129. #10622565C22semidirect
130. #10622565C22semidirect
132. #10622564C22semidirect
133. #10622564C22semidirect
134. #10622564C22semidirect
135. #10622564C22semidirect
136. #10622564C22semidirect
140. #10622562C22semidirect
142. #10622561C22semidirect
143. #10622561C22semidirect
144. #10622561C22semidirect
145. #10622561C22semidirect
146. #10622561C22semidirect
148. #10622560C22semidirect
153. #10622558C22semidirect
155. #10622557C22semidirect
156. #10622557C22semidirect
157. #10622557C22semidirect
158. #10622557C22semidirect
159. #10622557C22semidirect
162. #10622556C22semidirect
163. #10622555C22semidirect
164. #10622553C22semidirect
165. #10622553C22semidirect
166. C4×(C2×D11)⋊C4C22semidirect
167. #10622550C22semidirect
168. #10622549C22semidirect
169. #10622546C22semidirect
170. #10622542C22semidirect
171. #10622283C22semidirect
172. #10622282C22semidirect
173. #10622281C22semidirect
174. #10622280C22semidirect
175. #10622280C22semidirect
176. #10622277C22semidirect
177. D11×#95C22semidirect
178. D11×#95C22semidirect
179. C11⋊#401C22semidirect
180. #10622274C22semidirect
181. #10622273C22semidirect
182. #10622273C22semidirect
183. #10622272C22semidirect
184. #10622270C22semidirect
185. #10622264C22semidirect
186. #10622259C22semidirect
575. #2685D11semidirect
743. C2×#126C2×D11semidirect
770. #399C2×D11semidirect
802. #394C2×D11semidirect
803. #394C2×D11semidirect
804. #394C2×D11semidirect
813. #390C2×D11semidirect
838. #388C2×D11semidirect
839. #388C2×D11semidirect
1357. C11#36779semidirect

Maximal subgroups

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

subgroupindex
#130769282
#130769162
#130762832
#130762772
#130762392
#130760572
#130760412
#130759972
#130759372
#130758372
#130757572
#130757302
#130756572
#130756532
#130756192
#130752382
#130749942
#130744012
#130743572
#130731752
#130729412
#130723592
#130722782
#130721682
#130720072
#130719862
#130719412
#130712752
#130711922
D11×#3882
C11×#26852
#3677911