Finite Group Databasebeta

← #14925927

Subgroups — #14925927

Order 2816.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13074168C211yesmaximal, characteristic, complemented
2#13074141C211yesmaximal, characteristic, complemented
3#13074060C211yesmaximal, characteristic, complemented
4#13074033C211yesmaximal, characteristic, complemented
5#13073951C211yesmaximal, characteristic, complemented
6#13073924C211yesmaximal, characteristic, complemented
7#13073738C211yesmaximal, characteristic, complemented
8#13073711C211yesmaximal, characteristic, complemented
9#13073172C211yesmaximal, characteristic, complemented
10#13073119C211yesmaximal, characteristic, complemented
11#13072861C211yesmaximal, characteristic, complemented
12#13072736C211yesmaximal, characteristic, complemented
13#13072444C211yesmaximal, characteristic, complemented
14#13072360C211yesmaximal, characteristic, complemented
15#13072156C211yesmaximal, characteristic
16#13071913C211yesmaximal, characteristic, complemented
17#13071904C211yesmaximal, characteristic, complemented
18#13071881C211yesmaximal, characteristic, complemented
19#13071855C211yesmaximal, characteristic, complemented
20#13071170C211yesmaximal, characteristic, complemented
21#13071157C211yesmaximal, characteristic, complemented
22#13071144C211yesmaximal, characteristic, complemented
23#123×Dic11C211yesmaximal, characteristic, complemented
24#13071126C211yesmaximal, characteristic, complemented
25#13071126C211yesmaximal, characteristic, complemented
26#120×Dic11C211yesmaximal, characteristic, complemented
27#13071115C211yesmaximal, characteristic, complemented
28#13071052C211yesmaximal, characteristic, complemented
29C4×D4×Dic11C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic11C211yesmaximal, characteristic, complemented
31C11×#2418C211yesmaximal, characteristic, complemented
32C24×Dic11C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C11×#120C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C22×C11×C22⋊C4C2211yescharacteristic
37C2×#67006C2211yescharacteristic
38C22×C22⋊Dic11C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×D4×Dic11C2211yescharacteristic
42C2×D4×Dic11C2211yescharacteristic
43C2×D4×Dic11C2211yescharacteristic
44C2×D4×Dic11C2211yescharacteristic
45C2×#66977C2211yescharacteristic
46C22×C4×Dic11C2211yescharacteristic
47C22×C4×Dic11C2211yescharacteristic
48C22×C4×Dic11C2211yescharacteristic, complemented
49C2×#66945C2211yescharacteristic, complemented
50C2×#66940C2211yescharacteristic, complemented
51C2×#66938C2211yescharacteristic
52C2×(C22⋊D11)⋊C4C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
56C2×#66932C2211yescharacteristic
57C11×#399C2211yescharacteristic
58C11×#397C2211yescharacteristic
59C11×#394C2211yescharacteristic
60C11×#394C2211yescharacteristic
61C11×#388C2211yescharacteristic
62C11×#388C2211yescharacteristic
63C11×#386C2211yescharacteristic
64C11×#386C2211yescharacteristic
65C11×#385C2211yescharacteristic
66C11×#380C2211yescharacteristic
67C11×#379C2211yescharacteristic
68#10622860C2211yescharacteristic
69#10622836C2211yescharacteristic
70#10622835C2211yescharacteristic
71#10622833C2211yescharacteristic
72#10622833C2211yescharacteristic
73#10622833C2211yescharacteristic
74#10622833C2211yescharacteristic
75#10622826C2211yescharacteristic
76#10622826C2211yescharacteristic
77#10622826C2211yescharacteristic, complemented
78#10622824C2211yescharacteristic, complemented
79C4×C22⋊Dic11C2211yescharacteristic
80C4×C22⋊Dic11C2211yescharacteristic, complemented
81C2×C11⋊#95C2211yescharacteristic
82C2×C11⋊#95C2211yescharacteristic
83#10622606C2211yescharacteristic, complemented
84#10622606C2211yescharacteristic, complemented
85#10622603C2211yescharacteristic, complemented
86#10622603C2211yescharacteristic, complemented
87#10622599C2211yescharacteristic, complemented
88#10622596C2211yescharacteristic, complemented
89#10622595C2211yescharacteristic, complemented
90#10622595C2211yescharacteristic, complemented
91#10622594C2211yescharacteristic, complemented
92#10622594C2211yescharacteristic, complemented
93#10622591C2211yescharacteristic, complemented
94#10622591C2211yescharacteristic, complemented
95C4⋊C4×Dic11C2211yescharacteristic, complemented
96C4⋊C4×Dic11C2211yescharacteristic, complemented
97C4⋊C4×Dic11C2211yescharacteristic, complemented
98C4⋊C4×Dic11C2211yescharacteristic, complemented
99#10622587C2211yescharacteristic, complemented
100#10622586C2211yescharacteristic, complemented
101#10622574C2211yescharacteristic
102#10622574C2211yescharacteristic
103#10622572C2211yescharacteristic
104#10622572C2211yescharacteristic, complemented
105#10622571C2211yescharacteristic
106#10622571C2211yescharacteristic
107#10622571C2211yescharacteristic
108#10622571C2211yescharacteristic
109#10622570C2211yescharacteristic
110#10622570C2211yescharacteristic
111#10622570C2211yescharacteristic, complemented
112#10622566C2211yescharacteristic
113#10622565C2211yescharacteristic
114#10622565C2211yescharacteristic
115#10622565C2211yescharacteristic
116#10622565C2211yescharacteristic, complemented
117#10622564C2211yescharacteristic
118#10622564C2211yescharacteristic
119#10622563C2211yescharacteristic
120#10622563C2211yescharacteristic
121#10622563C2211yescharacteristic
122#10622563C2211yescharacteristic
123#10622563C2211yescharacteristic, complemented
124#10622561C2211yescharacteristic
125#10622561C2211yescharacteristic
126#10622561C2211yescharacteristic, complemented
127#10622560C2211yescharacteristic
128#10622560C2211yescharacteristic, complemented
129#10622559C2211yescharacteristic
130#10622559C2211yescharacteristic
131#10622559C2211yescharacteristic
132#10622559C2211yescharacteristic
133#10622559C2211yescharacteristic
134#10622558C2211yescharacteristic
135#10622558C2211yescharacteristic
136#10622557C2211yescharacteristic
137#10622557C2211yescharacteristic
138#10622557C2211yescharacteristic, complemented
139#10622555C2211yescharacteristic
140#10622555C2211yescharacteristic, complemented
141C22⋊C4×Dic11C2211yescharacteristic
142C22⋊C4×Dic11C2211yescharacteristic
143C22⋊C4×Dic11C2211yescharacteristic
144C22⋊C4×Dic11C2211yescharacteristic
145C22⋊C4×Dic11C2211yescharacteristic
146C22⋊C4×Dic11C2211yescharacteristic
147C22⋊C4×Dic11C2211yescharacteristic
148C22⋊C4×Dic11C2211yescharacteristic
149C22⋊C4×Dic11C2211yescharacteristic
150C22⋊C4×Dic11C2211yescharacteristic
151C22⋊C4×Dic11C2211yescharacteristic
152C22⋊C4×Dic11C2211yescharacteristic
153C22⋊C4×Dic11C2211yescharacteristic
154C22⋊C4×Dic11C2211yescharacteristic
155C22⋊C4×Dic11C2211yescharacteristic
156C22⋊C4×Dic11C2211yescharacteristic, complemented
157C22⋊C4×Dic11C2211yescharacteristic, complemented
158C22⋊C4×Dic11C2211yescharacteristic, complemented
159#10622553C2211yescharacteristic, complemented
160C4×C4⋊Dic11C2211yescharacteristic, complemented
161#10622546C2211yescharacteristic, complemented
162C42×Dic11C2211yescharacteristic, complemented
163#10622287C2211yescharacteristic, complemented
164#10622283C2211yescharacteristic, complemented
165#10622283C2211yescharacteristic, complemented
166#10622283C2211yescharacteristic, complemented
167#10622279C2211yescharacteristic, complemented
168#10622279C2211yescharacteristic, complemented
169C11⋊#401C2211yescharacteristic, complemented
170#10622274C2211yescharacteristic, complemented
171#10622273C2211yescharacteristic, complemented
172#10622272C2211yescharacteristic, complemented
173#10622271C2211yescharacteristic, complemented
174#10622268C2211yescharacteristic, complemented
175#10622267C2211yescharacteristic, complemented
176#10622265C2211yescharacteristic, complemented
177#10622265C2211yescharacteristic, complemented
178#10622264C2211yescharacteristic, complemented
179#10622263C2211yescharacteristic, complemented
180#10622262C2211yescharacteristic, complemented
181#10622262C2211yescharacteristic, complemented
182#10622262C2211yescharacteristic, complemented
183#10622261C2211yescharacteristic, complemented
184#10622260C2211yescharacteristic, complemented
185#10622260C2211yescharacteristic, complemented
186#10622259C2211yescharacteristic, complemented
187C25×C11C2311yescharacteristic
188C22×D4×C11C2311yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C23×Dic11—24no—
199C23×Dic11—42no—
200C23×Dic11—42no—
201C23×Dic11C2311yescharacteristic
202C23×Dic11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×Dic22C2311yescharacteristic
213C11×#123—24no—
214C11×#120—24no—
215C4×D4×C11—24no—
216C2×C11×C4⋊C4C2311yescharacteristic
217C2×C11×C4⋊C4C2311yescharacteristic
218C2×C11×C4⋊C4C2311yescharacteristic
219C2×C11×C4⋊C4C2311yescharacteristic
220C2×C11×C4⋊C4C2311yescharacteristic
221C2×C11×C22⋊C4—24no—
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×C42×C11C2311yescharacteristic
239#67006—24no—
240C2×C22⋊Dic11—24no—
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
259#66992—24no—
260#66992—24no—
261D4×Dic11—24no—
262D4×Dic11—24no—
263D4×Dic11—42no—
264D4×Dic11—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
275C2×C4⋊Dic11C2311yescharacteristic
276C2×C4⋊Dic11C2311yescharacteristic
277C2×C4⋊Dic11C2311yescharacteristic
278C2×C4⋊Dic11C2311yescharacteristic
279C2×C4⋊Dic11C2311yescharacteristic
280C2×C4⋊Dic11C2311yescharacteristic
281C2×C4⋊Dic11C2311yescharacteristic
282#66977—24no—
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×C4×Dic11—42no—
296C2×C4×Dic11—42no—
297C2×C4×Dic11—42no—
298C2×C4×Dic11C2311yescharacteristic
299C2×C4×Dic11C2311yescharacteristic
300C2×C4×Dic11C2311yescharacteristic
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
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317#66945—42no—
318#66940—42no—
319#66938—24no—
320(C22⋊D11)⋊C4—24no—
321(C22⋊D11)⋊C4—42no—
322(C22⋊D11)⋊C4—42no—
323(C22⋊D11)⋊C4—42no—
324#66932—24no—
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
363C11⋊#95C2311yescharacteristic
364C11⋊#95C2311yescharacteristic
365C11⋊#95C2311yescharacteristic
366C11⋊#95C2311yescharacteristic
367C11⋊#95C2311yescharacteristic
368C11⋊#95C2311yescharacteristic
369#34959—111nomaximal, Sylow
370C24×C11—22no—
371C24×C11—22no—
372C24×C11—22no—
373C24×C11—22no—
374C24×C11—22no—
375C24×C11—41no—
376C24×C11—41no—
377C24×C11C2411yescharacteristic
378C24×C11C2411yescharacteristic
379C24×C11C2411yescharacteristic
380C24×C11C2411yescharacteristic
381C23×D11C2411yescharacteristic
382C2×D4×C11—22no—
383C2×D4×C11—22no—
384C2×D4×C11—22no—
385C2×D4×C11—22no—
386C2×D4×C11—22no—
387C2×D4×C11—22no—
388C2×D4×C11—41no—
389C2×D4×C11—41no—
390C2×D4×C11#4114yes—
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—41no—
398C22×C4×C11—41no—
399C22×C4×C11—41no—
400C22×C4×C11C2411yescharacteristic
401C22×C4×C11C2411yescharacteristic
402C22×C4×C11C2411yescharacteristic
403C22×C4×C11C2411yescharacteristic
404C22×C4×C11C2411yescharacteristic
405C22×C4×C11C2411yescharacteristic
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C2×C22⋊D11—22no—
412C2×C22⋊D11—22no—
413C2×C22⋊D11—22no—
414C2×C22⋊D11—22no—
415C2×C22⋊D11—22no—
416C2×C22⋊D11—22no—
417C2×C22⋊D11—22no—
418C2×C22⋊D11—22no—
419C2×C22⋊D11—22no—
420C2×C22⋊D11—41no—
421C2×C22⋊D11—41no—
422C2×C22⋊D11—41no—
423C22×Dic11—22no—
424C22×Dic11—22no—
425C22×Dic11—22no—
426C22×Dic11—22no—
427C22×Dic11—22no—
428C22×Dic11—22no—
429C22×Dic11—22no—
430C22×Dic11—22no—
431C22×Dic11—22no—
432C22×Dic11—22no—
433C22×Dic11—22no—
434C22×Dic11—22no—
435C22×Dic11—22no—
436C22×Dic11—22no—
437C22×Dic11—22no—
438C22×Dic11—22no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—22no—
442C22×Dic11—22no—
443C22×Dic11—41no—
444C22×Dic11—41no—
445C22×Dic11—41no—
446C22×Dic11—41no—
447C22×Dic11—41no—
448C22×Dic11—41no—
449C22×Dic11—41no—
450C22×Dic11—41no—
451C22×Dic11—41no—
452C22×Dic11—416no—
453C22×Dic11#4114yes—
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456C22×Dic11C2411yescharacteristic
457C22×Dic11C2411yescharacteristic
458C22×Dic11C2411yescharacteristic
459C22×Dic11C2411yescharacteristic
460C22×Dic11C2411yescharacteristic
461C22×Dic11C2411yescharacteristic
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2411yescharacteristic
464C22×Dic11C2411yescharacteristic
465C22×Dic11C2411yescharacteristic
466C22×Dic11C2411yescharacteristic
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×Dic22—22no—
473C2×Dic22—22no—
474C2×Dic22—41no—
475C11×C4⋊C4—22no—
476C11×C4⋊C4—22no—
477C11×C4⋊C4—22no—
478C11×C4⋊C4—41no—
479C11×C4⋊C4—41no—
480C11×C22⋊C4—22no—
481C11×C22⋊C4—22no—
482C11×C22⋊C4—22no—
483C11×C22⋊C4—22no—
484C11×C22⋊C4—22no—
485C11×C22⋊C4—22no—
486C11×C22⋊C4—22no—
487C11×C22⋊C4—22no—
488C11×C22⋊C4—22no—
489C11×C22⋊C4—22no—
490C11×C22⋊C4—22no—
491C11×C22⋊C4—22no—
492C11×C22⋊C4—41no—
493C11×C22⋊C4—41no—
494C11×C22⋊C4—41no—
495C11×C22⋊C4#4114yes—
496C42×C11—22no—
497C22⋊Dic11—22no—
498C22⋊Dic11—22no—
499C22⋊Dic11—22no—
500C22⋊Dic11—22no—
501C22⋊Dic11—22no—
502C22⋊Dic11—22no—
503C22⋊Dic11—22no—
504C22⋊Dic11—22no—
505C22⋊Dic11—22no—
506C22⋊Dic11—22no—
507C22⋊Dic11—22no—
508C22⋊Dic11—22no—
509C22⋊Dic11—41no—
510C22⋊Dic11—41no—
511C22⋊Dic11—41no—
512C22⋊Dic11—41no—
513C22⋊Dic11#4114yes—
514C22⋊Dic11#4114yes—
515(C2×D11)⋊C4—22no—
516(C2×D11)⋊C4—22no—
517(C2×D11)⋊C4—22no—
518(C2×D11)⋊C4—22no—
519(C2×D11)⋊C4—22no—
520(C2×D11)⋊C4—41no—
521(C2×D11)⋊C4—41no—
522(C2×D11)⋊C4—41no—
523(C2×D11)⋊C4—41no—
524(C2×D11)⋊C4—41no—
525C4⋊Dic11—22no—
526C4⋊Dic11—22no—
527C4⋊Dic11—22no—
528C4⋊Dic11—22no—
529C4⋊Dic11—41no—
530C4⋊Dic11—41no—
531C4⋊Dic11—41no—
532Dic11⋊C4—22no—
533Dic11⋊C4—22no—
534Dic11⋊C4—22no—
535Dic11⋊C4—22no—
536Dic11⋊C4—22no—
537Dic11⋊C4—22no—
538Dic11⋊C4—22no—
539Dic11⋊C4—41no—
540Dic11⋊C4—41no—
541Dic11⋊C4—41no—
542Dic11⋊C4—41no—
543Dic11⋊C4—41no—
544C4×Dic11—22no—
545C4×Dic11—22no—
546C4×Dic11—22no—
547C4×Dic11—22no—
548C4×Dic11—22no—
549C4×Dic11—22no—
550C4×Dic11—22no—
551C4×Dic11—22no—
552C4×Dic11—22no—
553C4×Dic11—22no—
554C4×Dic11—22no—
555C4×Dic11—22no—
556C4×Dic11—22no—
557C4×Dic11—41no—
558C4×Dic11—41no—
559C4×Dic11—41no—
560C4×Dic11—41no—
561C4×Dic11—41no—
562C4×Dic11—41no—
563#2597—111no—
564#2595—111no—
565#2589—111no—
566#2587—111no—
567#2578—111no—
568#2576—111no—
569#2559—111no—
570#2557—111no—
571#2510—111no—
572#2505—111no—
573#2480—111no—
574#2472—111no—
575#2450—111no—
576#2444—111no—
577#2424—111no—
578#2418D1111yescharacteristic, complemented
579#2401—111no—
580#2398—111no—
581#2395—111no—
582#2392—111no—
583C4×#126—111no—
584C4×#124—111no—
585C4×C22⋊Q8—111no—
586C4×#123—111no—
587C4×#121—111no—
588C4×#121—111no—
589C4×#120—111no—
590C4×#120—111no—
591#2290—111no—
592C42×D4—111no—
593C2×C4×C22⋊C4—111no—
594C23×C11—21no—
595C23×C11—21no—
596C23×C11—21no—
597C23×C11—21no—
598C23×C11—28no—
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—44no—
619C23×C11—44no—
620C23×C11—44no—
621C23×C11—44no—
622C23×C11—44no—
623C23×C11C2×#4112yes—
624C23×C11C2×#4112yes—
625C23×C11C2×#4112yes—
626C23×C11C2×#4112yes—
627C23×C11C2×#4112yes—
628C23×C11C2×#4112yes—
629C23×C11C2511yescharacteristic
630C22×D11—21no—
631C22×D11—21no—
632C22×D11—21no—
633C22×D11—21no—
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637D4×C11—28no—
638D4×C11—44no—
639D4×C11—44no—
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—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—44no—
671C2×C4×C11—44no—
672C2×C4×C11—44no—
673C2×C4×C11C2×#4112yes—
674C2×C4×C11C2×#4112yes—
675C2×C4×C11C2×#4112yes—
676C22⋊D11—44no—
677C22⋊D11—44no—
678C22⋊D11—44no—
679C22⋊D11—44no—
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—28no—
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—44no—
719C2×Dic11—44no—
720C2×Dic11—44no—
721C2×Dic11—44no—
722C2×Dic11—44no—
723C2×Dic11—44no—
724C2×Dic11—44no—
725C2×Dic11—44no—
726C2×Dic11—44no—
727C2×Dic11C2×#4112yes—
728C2×Dic11C2×#4112yes—
729C2×Dic11C2×#4112yes—
730C2×Dic11C2×#4112yes—
731C2×Dic11C2×#4112yes—
732C2×Dic11C2×#4112yes—
733C2×Dic11H(5,𝔽2)12yes—
734C2×Dic11H(5,𝔽2)12yes—
735C4×D11—44no—
736Dic22—44no—
737C24×C4—111no—
738C2×#126—111no—
739C2×#124—111no—
740C2×#123C2×D1111yescharacteristic
741C2×C22⋊Q8—111no—
742C2×#121—111no—
743C2×#121—111no—
744C2×#120—111no—
745C2×#120C2×D1111yescharacteristic
746C2×C4×Q8—111no—
747C2×C4×D4—111no—
748C2×C4×D4—111no—
749C2×C4×D4—111no—
750C2×C4×D4—111no—
751C2×C4×D4—111no—
752C2×C4×D4—111no—
753C2×C4×D4—111no—
754C2×C4×D4—111no—
755C2×C4×D4C2×D1111yescharacteristic
756C2×#117—111no—
757C22×C22⋊C4—111no—
758C22×C22⋊C4C2×D1111yescharacteristic
759C22×C42—111no—
760C22×C42—111no—
761C22×C42—111no—
762#401—111no—
763#400—111no—
764#400—111no—
765#400—111no—
766#400—111no—
767#400—111no—
768#400—111no—
769#399C2×D1111yescharacteristic
770#398—111no—
771#398—111no—
772#397—111no—
773#397—111no—
774#397—111no—
775#397—111no—
776#397—111no—
777#397—111no—
778#397—111no—
779#397—111no—
780#397C2×D1111yescharacteristic
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#394C2×D1111yescharacteristic
790#394C2×D1111yescharacteristic
791#393—111no—
792#393—111no—
793#392—111no—
794#391—111no—
795#391—111no—
796#390—111no—
797#390—111no—
798#390—111no—
799#389—111no—
800#389—111no—
801#389—111no—
802#388—111no—
803#388—111no—
804#388—111no—
805#388—111no—
806#388—111no—
807#388—111no—
808#388—111no—
809#388—111no—
810#388—111no—
811#388—111no—
812#388—111no—
813#388—111no—
814#388—111no—
815#388C2×D1111yescharacteristic
816#388C2×D1111yescharacteristic
817#387—111no—
818#387—111no—
819#387—111no—
820#387—111no—
821#387—111no—
822#387—111no—
823#387—111no—
824#387—111no—
825#387—111no—
826#386—111no—
827#386—111no—
828#386—111no—
829#386—111no—
830#386—111no—
831#386—111no—
832#386—111no—
833#386—111no—
834#386—111no—
835#386—111no—
836#386—111no—
837#386C2×D1111yescharacteristic
838#386C2×D1111yescharacteristic
839#385—111no—
840#385—111no—
841#385—111no—
842#385—111no—
843#385—111no—
844#385—111no—
845#385—111no—
846#385—111no—
847#385—111no—
848#385—111no—
849#385C2×D1111yescharacteristic
850#383—111no—
851#382—111no—
852#381—111no—
853#380—111no—
854#380—111no—
855#380C2×D1111yescharacteristic
856#379—111no—
857#379C2×D1111yescharacteristic
858C4×C4⋊C4—111no—
859C4×C4⋊C4—111no—
860C4×C4⋊C4—111no—
861C4×C4⋊C4—111no—
862C4×C4⋊C4—111no—
863C4×C4⋊C4—111no—
864C4×C4⋊C4—111no—
865C4×C4⋊C4—111no—
866C4×C22⋊C4—111no—
867C4×C22⋊C4—111no—
868C4×C22⋊C4—111no—
869C4×C22⋊C4—111no—
870C4×C22⋊C4—111no—
871C4×C22⋊C4—111no—
872C4×C22⋊C4—111no—
873C4×C22⋊C4—111no—
874C4×C22⋊C4—111no—
875C4×C22⋊C4—111no—
876C4×C22⋊C4—111no—
877C4×C22⋊C4—111no—
878C4×C22⋊C4—111no—
879C4×C22⋊C4—111no—
880C4×C22⋊C4—111no—
881C4×C22⋊C4—111no—
882C4×C22⋊C4—111no—
883C4×C22⋊C4—111no—
884C4×C22⋊C4—111no—
885C4×C22⋊C4—111no—
886C4×C22⋊C4—111no—
887C4×C22⋊C4—111no—
888#376—111no—
889C2×#95—111no—
890C2×#95—111no—
891C43—111no—
892C22×C11—22no—
893C22×C11—22no—
894C22×C11—22no—
895C22×C11—22no—
896C22×C11—22no—
897C22×C11—22no—
898C22×C11—22no—
899C22×C11—22no—
900C22×C11—22no—
901C22×C11—22no—
902C22×C11—22no—
903C22×C11—22no—
904C22×C11—22no—
905C22×C11—22no—
906C22×C11—22no—
907C22×C11—416no—
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#52914yes—
921C22×C11C22×#4111yescharacteristic
922C22×C11C22×#4111yescharacteristic
923C22×C11C22×#4111yescharacteristic
924C22×C11C22×#4111yescharacteristic
925C22×C11C22×#4111yescharacteristic
926C22×C11C2×H(5,𝔽2)11yescharacteristic
927C22×C11C2×H(5,𝔽2)11yescharacteristic
928C2×D11—41no—
929C2×D11—41no—
930C2×D11—41no—
931C2×D11—41no—
932C2×D11—41no—
933C2×D11—41no—
934C2×D11—41no—
935C4×C11—22no—
936C4×C11—22no—
937C4×C11—22no—
938C4×C11—41no—
939C4×C11—41no—
940C4×C11—41no—
941C4×C11—41no—
942C4×C11—41no—
943C4×C11—41no—
944C4×C11—41no—
945C4×C11—41no—
946Dic11—22no—
947Dic11—22no—
948Dic11—22no—
949Dic11—22no—
950Dic11—22no—
951Dic11—41no—
952Dic11—41no—
953Dic11—41no—
954Dic11—41no—
955Dic11—41no—
956Dic11—41no—
957Dic11—41no—
958Dic11—41no—
959Dic11—41no—
960Dic11#53814yes—
961C25C22×D1111yescharacteristic
962C22×Q8—111no—
963C22×D4—111no—
964C22×D4—111no—
965C22×D4—111no—
966C22×D4—111no—
967C22×D4C22×D1111yescharacteristic
968C22×D4C22×D1111yescharacteristic
969C22×D4C22×D1111yescharacteristic
970C23×C4—111no—
971C23×C4—111no—
972C23×C4—111no—
973C23×C4—111no—
974C23×C4—111no—
975C23×C4—111no—
976C23×C4—111no—
977C23×C4—111no—
978C23×C4—111no—
979C23×C4—111no—
980C23×C4—111no—
981C23×C4—224no—
982C23×C4—442no—
983C23×C4—442no—
984C23×C4C22×D1111yescharacteristic
985C23×C4C22×D1111yescharacteristic
986C23×C4C22×D1111yescharacteristic
987#126—224no—
988#124—224no—
989#123—24no—
990C22⋊Q8—224no—
991#121—224no—
992#121—224no—
993#120—24no—
994#120—224no—
995C4×Q8—442no—
996C4×D4—24no—
997C4×D4—224no—
998C4×D4—224no—
999C4×D4—224no—
1000C4×D4—442no—
1001C4×D4—442no—
1002C4×D4—442no—
1003C4×D4—442no—
1004C4×D4—442no—
1005#117—442no—
1006C2×C4⋊C4—111no—
1007C2×C4⋊C4—111no—
1008C2×C4⋊C4—111no—
1009C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1026C2×C4⋊C4C22×D1111yescharacteristic
1027C2×C4⋊C4C22×D1111yescharacteristic
1028C2×C4⋊C4C22×D1111yescharacteristic
1029C2×C4⋊C4C22×D1111yescharacteristic
1030C2×C22⋊C4—24no—
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—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—224no—
1060C2×C22⋊C4C22×D1111yescharacteristic
1061C2×C22⋊C4C22×D1111yescharacteristic
1062C2×C22⋊C4C22×D1111yescharacteristic
1063C2×C22⋊C4C22×D1111yescharacteristic
1064C2×C22⋊C4C22×D1111yescharacteristic
1065C2×C22⋊C4C22×D1111yescharacteristic
1066C2×C22⋊C4C22×D1111yescharacteristic
1067C2×C22⋊C4C22×D1111yescharacteristic
1068C2×C22⋊C4C22×D1111yescharacteristic
1069C2×C22⋊C4C22×D1111yescharacteristic
1070C2×C22⋊C4C22×D1111yescharacteristic
1071C2×C22⋊C4C22×D1111yescharacteristic
1072C2×C22⋊C4C22×D1111yescharacteristic
1073C2×C22⋊C4C22×D1111yescharacteristic
1074C2×C22⋊C4C22×D1111yescharacteristic
1075C2×C22⋊C4C22×D1111yescharacteristic
1076C2×C42—111no—
1077C2×C42—111no—
1078C2×C42—111no—
1079C2×C42—111no—
1080C2×C42—111no—
1081C2×C42—111no—
1082C2×C42—111no—
1083C2×C42—111no—
1084C2×C42—111no—
1085C2×C42—111no—
1086C2×C42—111no—
1087C2×C42—111no—
1088C2×C42—111no—
1089C2×C42—111no—
1090C2×C42—111no—
1091C2×C42—111no—
1092C2×C42—111no—
1093C2×C42—111no—
1094C2×C42—111no—
1095C2×C42—442no—
1096C2×C42—442no—
1097C2×C42—442no—
1098C2×C42C22×D1111yescharacteristic
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#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#95C22×D1111yescharacteristic
1138#95C22×D1111yescharacteristic
1139#95C22×D1111yescharacteristic
1140#95C22×D1111yescharacteristic
1141#95C22×D1111yescharacteristic
1142#95C22×D1111yescharacteristic
1143C2×C11—24no—
1144C2×C11—42no—
1145C2×C11—42no—
1146C2×C11—42no—
1147C2×C11C2×#52911yescharacteristic
1148C2×C11#344411yescharacteristic
1149C2×C11C2×#53811yescharacteristic
1150C2×C11#348111yescharacteristic
1151C2×C11#348111yescharacteristic
1152C2×C11#348111yescharacteristic
1153C2×C11#348111yescharacteristic
1154D11—81no—
1155C24—22no—
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—41no—
1161C24—41no—
1162C24—111no—
1163C24C23×D1111yescharacteristic
1164C24C23×D1111yescharacteristic
1165C24C23×D1111yescharacteristic
1166C24C23×D1111yescharacteristic
1167C2×Q8—222no—
1168C2×Q8—222no—
1169C2×Q8—441no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—222no—
1179C2×D4—222no—
1180C2×D4—222no—
1181C2×D4—222no—
1182C2×D4—222no—
1183C2×D4—222no—
1184C2×D4—222no—
1185C2×D4—222no—
1186C2×D4—222no—
1187C2×D4—441no—
1188C2×D4—441no—
1189C2×D4—441no—
1190C2×D4#434114yes—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—111no—
1201C22×C4—114no—
1202C22×C4—111no—
1203C22×C4—111no—
1204C22×C4—111no—
1205C22×C4—111no—
1206C22×C4—111no—
1207C22×C4—111no—
1208C22×C4—111no—
1209C22×C4—111no—
1210C22×C4—111no—
1211C22×C4—111no—
1212C22×C4—111no—
1213C22×C4—111no—
1214C22×C4—111no—
1215C22×C4—111no—
1216C22×C4—222no—
1217C22×C4—222no—
1218C22×C4—222no—
1219C22×C4—222no—
1220C22×C4—222no—
1221C22×C4—222no—
1222C22×C4—222no—
1223C22×C4—222no—
1224C22×C4—222no—
1225C22×C4—222no—
1226C22×C4—222no—
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—222no—
1238C22×C4—222no—
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—4416no—
1249C22×C4C23×D1111yescharacteristic
1250C22×C4C23×D1111yescharacteristic
1251C22×C4C23×D1111yescharacteristic
1252C22×C4C23×D1111yescharacteristic
1253C22×C4C23×D1111yescharacteristic
1254C22×C4C23×D1111yescharacteristic
1255C22×C4C23×D1111yescharacteristic
1256C22×C4C23×D1111yescharacteristic
1257C22×C4C23×D1111yescharacteristic
1258C22×C4C23×D1111yescharacteristic
1259C22×C4C23×D1111yescharacteristic
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—222no—
1266C4⋊C4—222no—
1267C4⋊C4—222no—
1268C4⋊C4—222no—
1269C4⋊C4—222no—
1270C4⋊C4—222no—
1271C4⋊C4—222no—
1272C4⋊C4—222no—
1273C4⋊C4—222no—
1274C4⋊C4—222no—
1275C4⋊C4—222no—
1276C4⋊C4—441no—
1277C4⋊C4—441no—
1278C4⋊C4—441no—
1279C4⋊C4—441no—
1280C4⋊C4—441no—
1281C4⋊C4—441no—
1282C4⋊C4—441no—
1283C4⋊C4—441no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—114no—
1300C22⋊C4—114no—
1301C22⋊C4—222no—
1302C22⋊C4—222no—
1303C22⋊C4—222no—
1304C22⋊C4—222no—
1305C22⋊C4—222no—
1306C22⋊C4—222no—
1307C22⋊C4—222no—
1308C22⋊C4—222no—
1309C22⋊C4—222no—
1310C22⋊C4—222no—
1311C22⋊C4—222no—
1312C22⋊C4—222no—
1313C22⋊C4—222no—
1314C22⋊C4—222no—
1315C22⋊C4—222no—
1316C22⋊C4—222no—
1317C22⋊C4—222no—
1318C22⋊C4—441no—
1319C22⋊C4—441no—
1320C22⋊C4—441no—
1321C22⋊C4—441no—
1322C22⋊C4—441no—
1323C22⋊C4—441no—
1324C22⋊C4—441no—
1325C22⋊C4—441no—
1326C22⋊C4—441no—
1327C22⋊C4#434114yes—
1328C42—22no—
1329C42—222no—
1330C42—222no—
1331C42—222no—
1332C42—222no—
1333C42—222no—
1334C42—222no—
1335C42—222no—
1336C42—222no—
1337C42—222no—
1338C42—222no—
1339C42—222no—
1340C42—222no—
1341C42—222no—
1342C42—441no—
1343C42—441no—
1344C42—441no—
1345C42—441no—
1346C42—441no—
1347C42—441no—
1348C11#3495911yescharacteristic, complemented, Sylow
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—28no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
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—44no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—221no—
1379C23—221no—
1380C23—221no—
1381C23—221no—
1382C23—221no—
1383C23—221no—
1384C23—221no—
1385C23C2×#434112yes—
1386C23C2×#434112yes—
1387C23C2×#434112yes—
1388C23#41×D1112yes—
1389C23#41×D1112yes—
1390C23#41×D1112yes—
1391C23C24×D1111yescharacteristic
1392Q8—444no—
1393D4—28no—
1394D4—44no—
1395D4—44no—
1396D4—444no—
1397D4—444no—
1398D4—444no—
1399D4—444no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—44no—
1431C2×C4—44no—
1432C2×C4—44no—
1433C2×C4—112no—
1434C2×C4—112no—
1435C2×C4—112no—
1436C2×C4—112no—
1437C2×C4—112no—
1438C2×C4—112no—
1439C2×C4—112no—
1440C2×C4—112no—
1441C2×C4—228no—
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—221no—
1452C2×C4—221no—
1453C2×C4—221no—
1454C2×C4—221no—
1455C2×C4—221no—
1456C2×C4—221no—
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—444no—
1480C2×C4—444no—
1481C2×C4—444no—
1482C2×C4—444no—
1483C2×C4—444no—
1484C2×C4—444no—
1485C2×C4—444no—
1486C2×C4—444no—
1487C2×C4—444no—
1488C2×C4—444no—
1489C2×C4C2×#434112yes—
1490C2×C4C2×#434112yes—
1491C2×C4C2×#434112yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—416no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—441no—
1521C22—441no—
1522C22—441no—
1523C22—441no—
1524C22—441no—
1525C22—441no—
1526C22—441no—
1527C22#1062318014yes—
1528C22C22×#434111yescharacteristic
1529C22C22×#434111yescharacteristic
1530C22C2×#41×D1111yescharacteristic
1531C22C2×#41×D1111yescharacteristic
1532C22C2×#41×D1111yescharacteristic
1533C22D11×H(5,𝔽2)11yescharacteristic
1534C22D11×H(5,𝔽2)11yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—114no—
1547C4—222no—
1548C4—222no—
1549C4—222no—
1550C4—222no—
1551C4—222no—
1552C4—441no—
1553C4—441no—
1554C4—441no—
1555C4—441no—
1556C4—441no—
1557C4—441no—
1558C4—441no—
1559C4—441no—
1560C4—441no—
1561C2—24no—
1562C2—42no—
1563C2—42no—
1564C2—42no—
1565C2—881no—
1566C2C2×#1062318011yescharacteristic
1567C2#1308190811yescharacteristic
1568C2D11×#53811yescharacteristic
1569C2#1308221711yescharacteristic
1570C2#1308221911yescharacteristic
1571C2#1308222111yescharacteristic
1572C2#1308222111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2418C2
prime radical#13072156C2
hypercenter#2418D11
hypocenterC11#34959
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. #13074168C2semidirect
2. #13074141C2semidirect
3. #13074060C2semidirect
4. #13074033C2semidirect
5. #13073951C2semidirect
6. #13073924C2semidirect
7. #13073738C2semidirect
8. #13073711C2semidirect
9. #13073172C2semidirect
10. #13073119C2semidirect
11. #13072861C2semidirect
12. #13072736C2semidirect
13. #13072444C2semidirect
14. #13072360C2semidirect
16. #13071913C2semidirect
17. #13071904C2semidirect
18. #13071881C2semidirect
19. #13071855C2semidirect
20. #13071170C2semidirect
21. #13071157C2semidirect
22. #13071144C2semidirect
23. #123×Dic11C2semidirect
24. #13071126C2semidirect
25. #13071126C2semidirect
26. #120×Dic11C2semidirect
27. #13071115C2semidirect
28. #13071052C2semidirect
29. C4×D4×Dic11C2semidirect
30. C2×C22⋊C4×Dic11C2semidirect
31. C11×#2418C2semidirect
48. C22×C4×Dic11C22semidirect
49. C2×#66945C22semidirect
50. C2×#66940C22semidirect
55. C2×(C22⋊D11)⋊C4C22semidirect
77. #10622826C22semidirect
78. #10622824C22semidirect
80. C4×C22⋊Dic11C22semidirect
83. #10622606C22semidirect
84. #10622606C22semidirect
85. #10622603C22semidirect
86. #10622603C22semidirect
87. #10622599C22semidirect
88. #10622596C22semidirect
89. #10622595C22semidirect
90. #10622595C22semidirect
91. #10622594C22semidirect
92. #10622594C22semidirect
93. #10622591C22semidirect
94. #10622591C22semidirect
95. C4⋊C4×Dic11C22semidirect
96. C4⋊C4×Dic11C22semidirect
97. C4⋊C4×Dic11C22semidirect
98. C4⋊C4×Dic11C22semidirect
99. #10622587C22semidirect
100. #10622586C22semidirect
104. #10622572C22semidirect
111. #10622570C22semidirect
116. #10622565C22semidirect
123. #10622563C22semidirect
126. #10622561C22semidirect
128. #10622560C22semidirect
138. #10622557C22semidirect
140. #10622555C22semidirect
156. C22⋊C4×Dic11C22semidirect
157. C22⋊C4×Dic11C22semidirect
158. C22⋊C4×Dic11C22semidirect
159. #10622553C22semidirect
160. C4×C4⋊Dic11C22semidirect
161. #10622546C22semidirect
162. C42×Dic11C22semidirect
163. #10622287C22semidirect
164. #10622283C22semidirect
165. #10622283C22semidirect
166. #10622283C22semidirect
167. #10622279C22semidirect
168. #10622279C22semidirect
169. C11⋊#401C22semidirect
170. #10622274C22semidirect
171. #10622273C22semidirect
172. #10622272C22semidirect
173. #10622271C22semidirect
174. #10622268C22semidirect
175. #10622267C22semidirect
176. #10622265C22semidirect
177. #10622265C22semidirect
178. #10622264C22semidirect
179. #10622263C22semidirect
180. #10622262C22semidirect
181. #10622262C22semidirect
182. #10622262C22semidirect
183. #10622261C22semidirect
184. #10622260C22semidirect
185. #10622260C22semidirect
186. #10622259C22semidirect
578. #2418D11semidirect
1348. C11#34959semidirect

Maximal subgroups

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

subgroupindex
#130741682
#130741412
#130740602
#130740332
#130739512
#130739242
#130737382
#130737112
#130731722
#130731192
#130728612
#130727362
#130724442
#130723602
#130721562
#130719132
#130719042
#130718812
#130718552
#130711702
#130711572
#130711442
#123×Dic112
#130711262
#120×Dic112
#130711152
#130710522
C4×D4×Dic112
C2×C22⋊C4×Dic112
C11×#24182
#3495911