Finite Group Databasebeta

← #14922432

Subgroups — #14922432

Order 2816.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#4341C211yesmaximal, characteristic, complemented
2#13072813C211yesmaximal, characteristic, complemented
3#13072798C211yesmaximal, characteristic, complemented
4#13072723C211yesmaximal, characteristic, complemented
5#13072708C211yesmaximal, characteristic, complemented
6#13072633C211yesmaximal, characteristic, complemented
7#13072618C211yesmaximal, characteristic, complemented
8#13072534C211yesmaximal, characteristic, complemented
9#13072519C211yesmaximal, characteristic, complemented
10#13072436C211yesmaximal, characteristic, complemented
11#13072362C211yesmaximal, characteristic, complemented
12#13072288C211yesmaximal, characteristic, complemented
13#13072222C211yesmaximal, characteristic, complemented
14#13072148C211yesmaximal, characteristic, complemented
15#13072074C211yesmaximal, characteristic, complemented
16#13071997C211yesmaximal, characteristic, complemented
17#13071932C211yesmaximal, characteristic, complemented
18#13071900C211yesmaximal, characteristic, complemented
19#13071884C211yesmaximal, characteristic, complemented
20#13071858C211yesmaximal, characteristic, complemented
21#13071829C211yesmaximal, characteristic, complemented
22C4×#66988C211yesmaximal, characteristic, complemented
23C4×#66988C211yesmaximal, characteristic, complemented
24C4×#66992C211yesmaximal, characteristic, complemented
25C4×#66991C211yesmaximal, characteristic, complemented
26C4×#67006C211yesmaximal, characteristic, complemented
27#13071107C211yesmaximal, characteristic, complemented
28#13071061C211yesmaximal, characteristic, complemented
29#13071053C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Dic11C211yesmaximal, characteristic, complemented
31C2×C11×#525C211yesmaximal, characteristic, complemented
32C22×C11×#41C2211yescharacteristic
33C24×C4×C11C2211yescharacteristic
34C22×#4341C2211yescharacteristic
35C11×#525—28no—
36C2×C11×#123C2211yescharacteristic
37C2×C11×#123C2211yescharacteristic
38C2×C11×C22⋊Q8C2211yescharacteristic
39C2×C11×C22⋊Q8C2211yescharacteristic
40C2×C11×#121C2211yescharacteristic
41C2×C11×#121C2211yescharacteristic
42C2×C11×#120C2211yescharacteristic
43C2×C11×#120C2211yescharacteristic
44C2×C4×D4×C11C2211yescharacteristic
45C2×C4×D4×C11C2211yescharacteristic
46C2×C4×D4×C11C2211yescharacteristic
47C2×C4×D4×C11C2211yescharacteristic
48C2×C11×#117C2211yescharacteristic
49C2×#67006C2211yescharacteristic
50C22×C22⋊Dic11C2211yescharacteristic
51C22×C22⋊Dic11C2211yescharacteristic
52C2×#66992C2211yescharacteristic
53C2×#66991C2211yescharacteristic
54C2×#66988C2211yescharacteristic
55C2×#66988C2211yescharacteristic
56C2×D4×Dic11C2211yescharacteristic
57C2×C4×C22⋊D11C2211yescharacteristic
58C2×C4×C22⋊D11C2211yescharacteristic
59C2×C4×C22⋊D11C2211yescharacteristic
60C2×C4×C22⋊D11C2211yescharacteristic, complemented
61C2×C4×C22⋊D11C2211yescharacteristic, complemented
62C2×#66979C2211yescharacteristic, complemented
63C22×C4×Dic11C2211yescharacteristic
64C22×C4×Dic11C2211yescharacteristic
65C22×C4×Dic11C2211yescharacteristic, complemented
66C4×#4341—28no—
67C2×#66945C2211yescharacteristic, complemented
68C2×#66940C2211yescharacteristic, complemented
69C2×(C22⋊D11)⋊C4C2211yescharacteristic
70C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
71C2×#66930C2211yescharacteristic
72C2×#66930C2211yescharacteristic, complemented
73C2×C42×D11C2211yescharacteristic, complemented
74C2×C4×Dic22C2211yescharacteristic, complemented
75#10622860C2211yescharacteristic
76#10622844C2211yescharacteristic, complemented
77#10622843C2211yescharacteristic, complemented
78#10622843C2211yescharacteristic, complemented
79#10622842C2211yescharacteristic, complemented
80#10622836C2211yescharacteristic
81#10622836C2211yescharacteristic
82#10622836C2211yescharacteristic
83#10622836C2211yescharacteristic, complemented
84#10622835C2211yescharacteristic
85#10622835C2211yescharacteristic
86#10622835C2211yescharacteristic
87#10622835C2211yescharacteristic
88#10622835C2211yescharacteristic
89#10622835C2211yescharacteristic, complemented
90#10622834C2211yescharacteristic
91#10622834C2211yescharacteristic
92#10622834C2211yescharacteristic
93#10622833C2211yescharacteristic
94#10622833C2211yescharacteristic
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic
97#10622833C2211yescharacteristic
98#10622833C2211yescharacteristic
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic, complemented
101#10622833C2211yescharacteristic, complemented
102#10622826C2211yescharacteristic
103#10622826C2211yescharacteristic
104#10622826C2211yescharacteristic
105#10622823C2211yescharacteristic
106#10622823C2211yescharacteristic
107#10622823C2211yescharacteristic
108C4×C22⋊Dic11C2211yescharacteristic
109C4×C22⋊Dic11C2211yescharacteristic
110C4×C22⋊Dic11C2211yescharacteristic
111C4×C22⋊Dic11C2211yescharacteristic
112C4×C22⋊Dic11C2211yescharacteristic
113C4×C22⋊Dic11C2211yescharacteristic
114C4×C22⋊Dic11C2211yescharacteristic
115C4×C22⋊Dic11C2211yescharacteristic
116C4×C22⋊Dic11C2211yescharacteristic
117C4×C22⋊Dic11C2211yescharacteristic
118C4×C22⋊Dic11C2211yescharacteristic
119C4×C22⋊Dic11C2211yescharacteristic, complemented
120C4×C22⋊Dic11C2211yescharacteristic, complemented
121C4×C22⋊Dic11C2211yescharacteristic, complemented
122C4×C22⋊Dic11C2211yescharacteristic, complemented
123C2×C11⋊#95C2211yescharacteristic
124C2×C11⋊#95C2211yescharacteristic
125#10622607C2211yescharacteristic, complemented
126#10622603C2211yescharacteristic, complemented
127#10622602C2211yescharacteristic, complemented
128#10622602C2211yescharacteristic, complemented
129#10622600C2211yescharacteristic, complemented
130#10622599C2211yescharacteristic, complemented
131#10622597C2211yescharacteristic, complemented
132#10622597C2211yescharacteristic, complemented
133#10622597C2211yescharacteristic, complemented
134#10622595C2211yescharacteristic, complemented
135#10622595C2211yescharacteristic, complemented
136#10622594C2211yescharacteristic, complemented
137#10622594C2211yescharacteristic, complemented
138#10622592C2211yescharacteristic, complemented
139#10622591C2211yescharacteristic, complemented
140#10622591C2211yescharacteristic, complemented
141#10622591C2211yescharacteristic, complemented
142#10622591C2211yescharacteristic, complemented
143#10622591C2211yescharacteristic, complemented
144#10622591C2211yescharacteristic, complemented
145#10622586C2211yescharacteristic, complemented
146#10622585C2211yescharacteristic, complemented
147#10622574C2211yescharacteristic
148#10622572C2211yescharacteristic, complemented
149#10622571C2211yescharacteristic
150#10622570C2211yescharacteristic, complemented
151#10622569C2211yescharacteristic
152#10622569C2211yescharacteristic
153#10622569C2211yescharacteristic
154#10622569C2211yescharacteristic, complemented
155#10622566C2211yescharacteristic
156#10622566C2211yescharacteristic, complemented
157#10622565C2211yescharacteristic, complemented
158#10622564C2211yescharacteristic, complemented
159#10622564C2211yescharacteristic, complemented
160#10622563C2211yescharacteristic
161#10622563C2211yescharacteristic
162#10622562C2211yescharacteristic
163#10622561C2211yescharacteristic
164#10622561C2211yescharacteristic
165#10622561C2211yescharacteristic
166#10622560C2211yescharacteristic
167#10622560C2211yescharacteristic
168#10622560C2211yescharacteristic, complemented
169#10622559C2211yescharacteristic
170#10622559C2211yescharacteristic, complemented
171#10622558C2211yescharacteristic, complemented
172#10622557C2211yescharacteristic
173#10622557C2211yescharacteristic
174#10622557C2211yescharacteristic
175#10622557C2211yescharacteristic
176#10622557C2211yescharacteristic
177#10622557C2211yescharacteristic, complemented
178#10622557C2211yescharacteristic, complemented
179#10622557C2211yescharacteristic, complemented
180#10622556C2211yescharacteristic
181#10622556C2211yescharacteristic, complemented
182#10622555C2211yescharacteristic
183C4×(C2×D11)⋊C4C2211yescharacteristic, complemented
184C4×C4⋊Dic11C2211yescharacteristic, complemented
185#10622545C2211yescharacteristic, complemented
186C4×Dic11⋊C4C2211yescharacteristic, complemented
187C4×Dic11⋊C4C2211yescharacteristic, complemented
188C4×Dic11⋊C4C2211yescharacteristic, complemented
189C25×C11C2311yescharacteristic
190C2×C11×#41—24no—
191C2×C11×#41—24no—
192C2×C11×#41—42no—
193C22×Q8×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C22×D4×C11C2311yescharacteristic
197C22×D4×C11C2311yescharacteristic
198C22×D4×C11C2311yescharacteristic
199C22×D4×C11C2311yescharacteristic
200C22×D4×C11C2311yescharacteristic
201C23×C4×C11—24no—
202C23×C4×C11—24no—
203C23×C4×C11—42no—
204C23×C4×C11C2311yescharacteristic
205C23×C4×C11C2311yescharacteristic
206C23×C4×C11C2311yescharacteristic
207C23×C4×C11C2311yescharacteristic
208C23×C4×C11C2311yescharacteristic
209C23×C4×C11C2311yescharacteristic
210C23×C4×C11C2311yescharacteristic
211C23×C4×C11C2311yescharacteristic
212C22×C22⋊D11C2311yescharacteristic
213C22×C22⋊D11C2311yescharacteristic
214C22×C22⋊D11C2311yescharacteristic
215C22×C22⋊D11C2311yescharacteristic
216C22×C22⋊D11C2311yescharacteristic
217C23×Dic11C2311yescharacteristic
218C23×Dic11C2311yescharacteristic
219C23×Dic11C2311yescharacteristic
220C23×Dic11C2311yescharacteristic
221C23×Dic11C2311yescharacteristic
222C23×Dic11C2311yescharacteristic
223C2×#4341—24no—
224C2×#4341—24no—
225C2×#4341—24no—
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×Dic22C2311yescharacteristic
230C11×#123—24no—
231C11×#123—24no—
232C11×C22⋊Q8—24no—
233C11×C22⋊Q8—24no—
234C11×#121—24no—
235C11×#121—24no—
236C11×#120—24no—
237C11×#120—24no—
238C4×D4×C11—24no—
239C4×D4×C11—24no—
240C4×D4×C11—24no—
241C4×D4×C11D418yescomplemented
242C11×#117—24no—
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C22⋊C4C2311yescharacteristic
250C2×C11×C22⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C42×C11C2311yescharacteristic
260C2×C42×C11C2311yescharacteristic
261#67006—24no—
262C2×C22⋊Dic11—24no—
263C2×C22⋊Dic11—24no—
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270C2×C22⋊Dic11C2311yescharacteristic
271C2×C22⋊Dic11C2311yescharacteristic
272C2×C22⋊Dic11C2311yescharacteristic
273C2×C22⋊Dic11C2311yescharacteristic
274C2×C22⋊Dic11C2311yescharacteristic
275C2×C22⋊Dic11C2311yescharacteristic
276C2×C22⋊Dic11C2311yescharacteristic
277C2×C22⋊Dic11C2311yescharacteristic
278C2×C22⋊Dic11C2311yescharacteristic
279C2×C22⋊Dic11C2311yescharacteristic
280C2×C22⋊Dic11C2311yescharacteristic
281C2×C22⋊Dic11C2311yescharacteristic
282C2×C22⋊Dic11C2311yescharacteristic
283C2×C22⋊Dic11C2311yescharacteristic
284C2×C22⋊Dic11C2311yescharacteristic
285C2×C22⋊Dic11C2311yescharacteristic
286C2×C22⋊Dic11C2311yescharacteristic
287C2×C22⋊Dic11C2311yescharacteristic
288C2×C22⋊Dic11C2311yescharacteristic
289C2×C22⋊Dic11C2311yescharacteristic
290C2×C22⋊Dic11C2311yescharacteristic
291C2×C22⋊Dic11C2311yescharacteristic
292C2×C22⋊Dic11C2311yescharacteristic
293#66992—24no—
294#66991—24no—
295#66988—24no—
296#66988—24no—
297D4×Dic11—24no—
298C4×C22⋊D11—24no—
299C4×C22⋊D11—24no—
300C4×C22⋊D11—24no—
301C4×C22⋊D11—42no—
302C4×C22⋊D11—42no—
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310#66979—42no—
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×C4×Dic11—24no—
330C2×C4×Dic11—24no—
331C2×C4×Dic11—42no—
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339C2×C4×Dic11C2311yescharacteristic
340C2×C4×Dic11C2311yescharacteristic
341C2×C4×Dic11C2311yescharacteristic
342C2×C4×Dic11C2311yescharacteristic
343C2×C4×Dic11C2311yescharacteristic
344C2×C4×Dic11C2311yescharacteristic
345C2×C4×Dic11C2311yescharacteristic
346C2×C4×Dic11C2311yescharacteristic
347#66945—24no—
348#66940—24no—
349(C22⋊D11)⋊C4—24no—
350(C22⋊D11)⋊C4—24no—
351#66930—24no—
352#66930—24no—
353C42×D11—24no—
354C4×Dic22—24no—
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
369C11⋊#95C2311yescharacteristic
370C11⋊#95C2311yescharacteristic
371C11⋊#95C2311yescharacteristic
372C11⋊#95C2311yescharacteristic
373C11⋊#95C2311yescharacteristic
374C11⋊#95C2311yescharacteristic
375C11⋊#95C2311yescharacteristic
376C11⋊#95C2311yescharacteristic
377C11⋊#95C2311yescharacteristic
378C11⋊#95C2311yescharacteristic
379C11⋊#95C2311yescharacteristic
380C11⋊#95C2311yescharacteristic
381C11⋊#95C2311yescharacteristic
382C11⋊#95C2311yescharacteristic
383C11⋊#95C2311yescharacteristic
384C11⋊#95C2311yescharacteristic
385C11⋊#95C2311yescharacteristic
386C11⋊#95C2311yescharacteristic
387C11⋊#95C2311yescharacteristic
388C11⋊#95C2311yescharacteristic
389C11⋊#95C2311yescharacteristic
390C11⋊#95C2311yescharacteristic
391#34732—111nomaximal, Sylow
392C24×C11—22no—
393C24×C11—22no—
394C24×C11—22no—
395C24×C11—22no—
396C24×C11—22no—
397C24×C11—41no—
398C24×C11—41no—
399C24×C11C2411yescharacteristic
400C24×C11C2411yescharacteristic
401C24×C11C2411yescharacteristic
402C24×C11C2411yescharacteristic
403C24×C11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C11×#41—416no—
406C2×Q8×C11—22no—
407C2×Q8×C11—22no—
408C2×Q8×C11—41no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—22no—
413C2×D4×C11—22no—
414C2×D4×C11—22no—
415C2×D4×C11—22no—
416C2×D4×C11—22no—
417C2×D4×C11—22no—
418C2×D4×C11—22no—
419C2×D4×C11—22no—
420C2×D4×C11—22no—
421C2×D4×C11—22no—
422C2×D4×C11—22no—
423C2×D4×C11—22no—
424C2×D4×C11—41no—
425C2×D4×C11—41no—
426C2×D4×C11—41no—
427C2×D4×C11—41no—
428C2×D4×C11—41no—
429C2×D4×C11C2×D414yes—
430C22×C4×C11—22no—
431C22×C4×C11—22no—
432C22×C4×C11—22no—
433C22×C4×C11—22no—
434C22×C4×C11—22no—
435C22×C4×C11—22no—
436C22×C4×C11—22no—
437C22×C4×C11—22no—
438C22×C4×C11—22no—
439C22×C4×C11—22no—
440C22×C4×C11—22no—
441C22×C4×C11—22no—
442C22×C4×C11—22no—
443C22×C4×C11—22no—
444C22×C4×C11—22no—
445C22×C4×C11—22no—
446C22×C4×C11—22no—
447C22×C4×C11—22no—
448C22×C4×C11—41no—
449C22×C4×C11—41no—
450C22×C4×C11—41no—
451C22×C4×C11—416no—
452C22×C4×C11C2×D414yes—
453C22×C4×C11C2×D414yes—
454C22×C4×C11#4114yescomplemented
455C22×C4×C11C2411yescharacteristic
456C22×C4×C11C2411yescharacteristic
457C22×C4×C11C2411yescharacteristic
458C22×C4×C11C2411yescharacteristic
459C22×C4×C11C2411yescharacteristic
460C22×C4×C11C2411yescharacteristic
461C22×C4×C11C2411yescharacteristic
462C22×C4×C11C2411yescharacteristic
463C22×C4×C11C2411yescharacteristic
464C22×C4×C11C2411yescharacteristic
465C2×C22⋊D11—22no—
466C2×C22⋊D11—22no—
467C2×C22⋊D11—22no—
468C2×C22⋊D11—22no—
469C2×C22⋊D11—22no—
470C2×C22⋊D11—22no—
471C2×C22⋊D11—22no—
472C2×C22⋊D11—22no—
473C2×C22⋊D11—22no—
474C2×C22⋊D11—22no—
475C2×C22⋊D11—22no—
476C2×C22⋊D11—41no—
477C2×C22⋊D11—41no—
478C2×C22⋊D11—41no—
479C2×C22⋊D11#4114yescomplemented
480C22×Dic11—22no—
481C22×Dic11—22no—
482C22×Dic11—22no—
483C22×Dic11—22no—
484C22×Dic11—22no—
485C22×Dic11—22no—
486C22×Dic11—22no—
487C22×Dic11—22no—
488C22×Dic11—22no—
489C22×Dic11—22no—
490C22×Dic11—22no—
491C22×Dic11—22no—
492C22×Dic11—41no—
493C22×Dic11—41no—
494C22×Dic11—41no—
495C22×Dic11—41no—
496C22×Dic11—41no—
497C22×Dic11#4114yescomplemented
498C22×Dic11C2411yescharacteristic
499C22×Dic11C2411yescharacteristic
500C22×Dic11C2411yescharacteristic
501C22×Dic11C2411yescharacteristic
502C22×Dic11C2411yescharacteristic
503C22×Dic11C2411yescharacteristic
504C22×Dic11C2411yescharacteristic
505C22×Dic11C2411yescharacteristic
506C22×Dic11C2411yescharacteristic
507C22×Dic11C2411yescharacteristic
508C22×Dic11C2411yescharacteristic
509C22×Dic11C2411yescharacteristic
510C22×Dic11C2411yescharacteristic
511C22×Dic11C2411yescharacteristic
512C22×Dic11C2411yescharacteristic
513#4341—232no—
514C2×C4×D11—22no—
515C2×C4×D11—22no—
516C2×C4×D11—22no—
517C2×C4×D11—22no—
518C2×C4×D11—22no—
519C2×C4×D11—22no—
520C2×C4×D11—22no—
521C2×C4×D11—22no—
522C2×C4×D11—41no—
523C2×Dic22—22no—
524C2×Dic22—22no—
525C2×Dic22—22no—
526C11×C4⋊C4—22no—
527C11×C4⋊C4—22no—
528C11×C4⋊C4—22no—
529C11×C4⋊C4—22no—
530C11×C4⋊C4—22no—
531C11×C4⋊C4C2×D414yes—
532C11×C22⋊C4—22no—
533C11×C22⋊C4—22no—
534C11×C22⋊C4—22no—
535C11×C22⋊C4—22no—
536C11×C22⋊C4—22no—
537C11×C22⋊C4—22no—
538C11×C22⋊C4—22no—
539C11×C22⋊C4—22no—
540C11×C22⋊C4C2×D414yes—
541C11×C22⋊C4C2×D414yes—
542C42×C11—22no—
543C42×C11C2×D414yes—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—22no—
547C22⋊Dic11—22no—
548C22⋊Dic11—22no—
549C22⋊Dic11—22no—
550C22⋊Dic11—22no—
551C22⋊Dic11—22no—
552C22⋊Dic11—22no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—22no—
560C22⋊Dic11—22no—
561C22⋊Dic11—22no—
562C22⋊Dic11—22no—
563C22⋊Dic11—22no—
564C22⋊Dic11—41no—
565C22⋊Dic11—41no—
566C22⋊Dic11—41no—
567C22⋊Dic11—41no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571C22⋊Dic11—41no—
572C22⋊Dic11#4114yescomplemented
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—41no—
578(C2×D11)⋊C4—41no—
579(C2×D11)⋊C4—41no—
580C4⋊Dic11—22no—
581C4⋊Dic11—22no—
582C4⋊Dic11—41no—
583C4⋊Dic11—41no—
584C4⋊Dic11—41no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—22no—
589Dic11⋊C4—22no—
590Dic11⋊C4—22no—
591Dic11⋊C4—22no—
592Dic11⋊C4—22no—
593Dic11⋊C4—22no—
594Dic11⋊C4—22no—
595Dic11⋊C4—41no—
596Dic11⋊C4—41no—
597Dic11⋊C4—41no—
598C4×Dic11—22no—
599C4×Dic11—22no—
600C4×Dic11—22no—
601C4×Dic11—22no—
602C4×Dic11—22no—
603C4×Dic11—22no—
604C4×Dic11—22no—
605C4×Dic11—22no—
606C4×Dic11—22no—
607C4×Dic11—22no—
608C4×Dic11—22no—
609C4×Dic11—22no—
610C4×Dic11—22no—
611C4×Dic11—41no—
612C4×Dic11—41no—
613C2×#525D1111yescharacteristic, complemented
614C2×C4×#41—111no—
615#2477—111no—
616#2476—111no—
617#2471—111no—
618#2470—111no—
619#2465—111no—
620#2464—111no—
621#2458—111no—
622#2457—111no—
623#2450—111no—
624#2444—111no—
625#2438—111no—
626#2430—111no—
627#2424—111no—
628#2418—111no—
629#2411—111no—
630#2404—111no—
631#2398—111no—
632#2396—111no—
633#2392—111no—
634#2388—111no—
635C4×#123—111no—
636C4×#123—111no—
637C4×#121—111no—
638C4×#121—111no—
639C4×#120—111no—
640#2297—111no—
641#2290—111no—
642#2290—111no—
643C2×C4×C22⋊C4—111no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—28no—
649C23×C11—21no—
650C23×C11—21no—
651C23×C11—21no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—44no—
675C23×C11—44no—
676C23×C11—44no—
677C23×C11—44no—
678C23×C11—44no—
679C23×C11—44no—
680C23×C11C22×D412yes—
681C23×C11C22×D412yes—
682C23×C11C2×#4112yes—
683C23×C11C2×#4112yes—
684C23×C11C2×#4112yes—
685C23×C11C2×#4112yes—
686C23×C11C2511yescharacteristic
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11C2×#4112yes—
694Q8×C11—44no—
695D4×C11—28no—
696D4×C11—44no—
697D4×C11—44no—
698D4×C11—44no—
699D4×C11—44no—
700D4×C11—44no—
701D4×C11—44no—
702C2×C4×C11—21no—
703C2×C4×C11—21no—
704C2×C4×C11—21no—
705C2×C4×C11—21no—
706C2×C4×C11—21no—
707C2×C4×C11—21no—
708C2×C4×C11—21no—
709C2×C4×C11—21no—
710C2×C4×C11—21no—
711C2×C4×C11—21no—
712C2×C4×C11—28no—
713C2×C4×C11—28no—
714C2×C4×C11—28no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—44no—
728C2×C4×C11—44no—
729C2×C4×C11—44no—
730C2×C4×C11—44no—
731C2×C4×C11—44no—
732C2×C4×C11C22×D412yes—
733C2×C4×C11C22×D412yes—
734C2×C4×C11C22×D412yes—
735C2×C4×C11C22×D412yes—
736C2×C4×C11C22×D412yes—
737C2×C4×C11C2×#4112yes—
738C2×C4×C11C2×#4112yes—
739C2×C4×C11H(5,𝔽2)12yes—
740C22⋊D11—28no—
741C22⋊D11—28no—
742C22⋊D11—44no—
743C22⋊D11—44no—
744C22⋊D11—44no—
745C2×Dic11—28no—
746C2×Dic11—28no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—21no—
755C2×Dic11—21no—
756C2×Dic11—21no—
757C2×Dic11—21no—
758C2×Dic11—21no—
759C2×Dic11—21no—
760C2×Dic11—21no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—44no—
788C2×Dic11—44no—
789C2×Dic11—44no—
790C2×Dic11—44no—
791C2×Dic11C2×#4112yes—
792C2×Dic11C2×#4112yes—
793C2×Dic11C2×#4112yes—
794C2×Dic11C2×#4112yes—
795C2×Dic11C2×#4112yes—
796C4×D11—28no—
797C4×D11—44no—
798C4×D11—44no—
799Dic22—28no—
800C22×#41—111no—
801C22×#41C2×D1111yescharacteristic
802C24×C4C2×D1111yescharacteristic
803#525—28no—
804C2×#123—111no—
805C2×#123—111no—
806C2×#123C2×D1111yescharacteristic
807C2×#123C2×D1111yescharacteristic
808C2×C22⋊Q8C2×D1111yescharacteristic
809C2×C22⋊Q8C2×D1111yescharacteristic
810C2×#121—111no—
811C2×#121—111no—
812C2×#121C2×D1111yescharacteristic
813C2×#121C2×D1111yescharacteristic
814C2×#120—111no—
815C2×#120C2×D1111yescharacteristic
816C2×#120C2×D1111yescharacteristic
817C4×#41—228no—
818C2×C4×Q8—111no—
819C2×C4×Q8—111no—
820C2×C4×D4—111no—
821C2×C4×D4—111no—
822C2×C4×D4—111no—
823C2×C4×D4—111no—
824C2×C4×D4—111no—
825C2×C4×D4—111no—
826C2×C4×D4—111no—
827C2×C4×D4—111no—
828C2×C4×D4C2×D1111yescharacteristic
829C2×C4×D4C2×D1111yescharacteristic
830C2×C4×D4C2×D1111yescharacteristic
831C2×C4×D4C2×D1111yescharacteristic
832C2×#117—111no—
833C2×#117—111no—
834C2×#117—111no—
835C2×#117—111no—
836C2×#117C2×D1111yescharacteristic
837C22×C22⋊C4—111no—
838C22×C22⋊C4—111no—
839C22×C42—111no—
840C22×C42—111no—
841C22×C42—111no—
842C22×C42—111no—
843#400—111no—
844#400—111no—
845#400—111no—
846#399—111no—
847#398—111no—
848#398—111no—
849#398—111no—
850#397—111no—
851#397—111no—
852#397—111no—
853#396—111no—
854#396—111no—
855#396—111no—
856#396—111no—
857#395—111no—
858#395—111no—
859#394—111no—
860#394—111no—
861#394—111no—
862#394—111no—
863#394—111no—
864#394—111no—
865#394—111no—
866#394—111no—
867#393—111no—
868#393—111no—
869#393—111no—
870#393—111no—
871#392—111no—
872#392—111no—
873#392—111no—
874#392—111no—
875#391—111no—
876#391—111no—
877#390—111no—
878#390—111no—
879#390—111no—
880#390—111no—
881#389—111no—
882#389—111no—
883#388—111no—
884#388—111no—
885#388—111no—
886#388—111no—
887#388—111no—
888#388—111no—
889#388—111no—
890#388—111no—
891#388—111no—
892#388—111no—
893#388—111no—
894#388—111no—
895#387—111no—
896#387—111no—
897#387—111no—
898#387—111no—
899#387—111no—
900#387—111no—
901#387—111no—
902#387—111no—
903#386—111no—
904#386—111no—
905#386—111no—
906#386—111no—
907#386—111no—
908#386—111no—
909#386—111no—
910#386—111no—
911#386—111no—
912#386—111no—
913#386—111no—
914#386—111no—
915#386—111no—
916#386—111no—
917#386—111no—
918#386—111no—
919#386—111no—
920#385—111no—
921#385—111no—
922#385—111no—
923#385—111no—
924#385—111no—
925#385—111no—
926#385—111no—
927#385—111no—
928#385—111no—
929#381—111no—
930#381—111no—
931#380—111no—
932#380—111no—
933#379—111no—
934C4×C4⋊C4—111no—
935C4×C4⋊C4—111no—
936C4×C4⋊C4—111no—
937C4×C4⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4—111no—
943C4×C22⋊C4—111no—
944C4×C22⋊C4—111no—
945C4×C22⋊C4—111no—
946C4×C22⋊C4—111no—
947C4×C22⋊C4—111no—
948C4×C22⋊C4—111no—
949C4×C22⋊C4—111no—
950C4×C22⋊C4—111no—
951C4×C22⋊C4—111no—
952C4×C22⋊C4—111no—
953C4×C22⋊C4—111no—
954#376—111no—
955C2×#95—111no—
956C2×#95—111no—
957C22×C11—22no—
958C22×C11—22no—
959C22×C11—22no—
960C22×C11—22no—
961C22×C11—22no—
962C22×C11—22no—
963C22×C11—22no—
964C22×C11—22no—
965C22×C11—22no—
966C22×C11—22no—
967C22×C11—22no—
968C22×C11—22no—
969C22×C11—22no—
970C22×C11—22no—
971C22×C11—22no—
972C22×C11—416no—
973C22×C11—41no—
974C22×C11—41no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11#52514yes—
993C22×C11C23×D411yescharacteristic
994C22×C11C22×#4111yescharacteristic
995C22×C11C22×#4111yescharacteristic
996C22×C11C22×#4111yescharacteristic
997C22×C11C22×#4111yescharacteristic
998C22×C11C2×H(5,𝔽2)11yescharacteristic
999C22×C11#58511yescharacteristic
1000C2×D11—22no—
1001C2×D11—22no—
1002C2×D11—22no—
1003C2×D11—41no—
1004C2×D11—41no—
1005C2×D11—41no—
1006C2×D11—41no—
1007C4×C11—22no—
1008C4×C11—22no—
1009C4×C11—22no—
1010C4×C11—22no—
1011C4×C11—22no—
1012C4×C11—41no—
1013C4×C11—41no—
1014C4×C11—41no—
1015C4×C11—41no—
1016C4×C11#54614yes—
1017Dic11—22no—
1018Dic11—22no—
1019Dic11—22no—
1020Dic11—22no—
1021Dic11—22no—
1022Dic11—41no—
1023Dic11—41no—
1024Dic11—41no—
1025Dic11—41no—
1026Dic11—41no—
1027Dic11—41no—
1028Dic11—41no—
1029Dic11—41no—
1030Dic11—41no—
1031Dic11—41no—
1032C25C22×D1111yescharacteristic
1033C2×#41—24no—
1034C2×#41—24no—
1035C2×#41—42no—
1036C2×#41—224no—
1037C2×#41—224no—
1038C2×#41—224no—
1039C22×Q8—111no—
1040C22×Q8C22×D1111yescharacteristic
1041C22×D4—111no—
1042C22×D4—111no—
1043C22×D4—111no—
1044C22×D4—111no—
1045C22×D4—111no—
1046C22×D4C22×D1111yescharacteristic
1047C22×D4C22×D1111yescharacteristic
1048C22×D4C22×D1111yescharacteristic
1049C22×D4C22×D1111yescharacteristic
1050C22×D4C22×D1111yescharacteristic
1051C22×D4C22×D1111yescharacteristic
1052C22×D4C22×D1111yescharacteristic
1053C23×C4—24no—
1054C23×C4—24no—
1055C23×C4—42no—
1056C23×C4—111no—
1057C23×C4—111no—
1058C23×C4—111no—
1059C23×C4—111no—
1060C23×C4—111no—
1061C23×C4—111no—
1062C23×C4—111no—
1063C23×C4—111no—
1064C23×C4—111no—
1065C23×C4C22×D1111yescharacteristic
1066C23×C4C22×D1111yescharacteristic
1067C23×C4C22×D1111yescharacteristic
1068C23×C4C22×D1111yescharacteristic
1069C23×C4C22×D1111yescharacteristic
1070C23×C4C22×D1111yescharacteristic
1071C23×C4C22×D1111yescharacteristic
1072C23×C4C22×D1111yescharacteristic
1073#123—24no—
1074#123—24no—
1075#123—224no—
1076#123—224no—
1077C22⋊Q8—24no—
1078C22⋊Q8—24no—
1079#121—24no—
1080#121—24no—
1081#121—224no—
1082#121—224no—
1083#120—24no—
1084#120—24no—
1085#120—224no—
1086C4×Q8—224no—
1087C4×Q8—224no—
1088C4×D4—24no—
1089C4×D4—24no—
1090C4×D4—24no—
1091C4×D4—224no—
1092C4×D4—224no—
1093C4×D4—224no—
1094C4×D4—224no—
1095C4×D4—224no—
1096C4×D4—224no—
1097C4×D4—442no—
1098C4×D4—442no—
1099C4×D4C22⋊D1118yescomplemented
1100#117—24no—
1101#117—224no—
1102#117—224no—
1103#117—224no—
1104#117—442no—
1105C2×C4⋊C4—111no—
1106C2×C4⋊C4—111no—
1107C2×C4⋊C4—111no—
1108C2×C4⋊C4—111no—
1109C2×C4⋊C4—111no—
1110C2×C4⋊C4—111no—
1111C2×C4⋊C4—111no—
1112C2×C4⋊C4—111no—
1113C2×C4⋊C4—111no—
1114C2×C4⋊C4—111no—
1115C2×C4⋊C4—111no—
1116C2×C4⋊C4—111no—
1117C2×C4⋊C4—111no—
1118C2×C4⋊C4—111no—
1119C2×C4⋊C4—111no—
1120C2×C4⋊C4—111no—
1121C2×C4⋊C4—111no—
1122C2×C4⋊C4—111no—
1123C2×C4⋊C4C22×D1111yescharacteristic
1124C2×C4⋊C4C22×D1111yescharacteristic
1125C2×C4⋊C4C22×D1111yescharacteristic
1126C2×C4⋊C4C22×D1111yescharacteristic
1127C2×C4⋊C4C22×D1111yescharacteristic
1128C2×C4⋊C4C22×D1111yescharacteristic
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4—111no—
1134C2×C22⋊C4—111no—
1135C2×C22⋊C4—111no—
1136C2×C22⋊C4—111no—
1137C2×C22⋊C4—111no—
1138C2×C22⋊C4—111no—
1139C2×C22⋊C4—111no—
1140C2×C22⋊C4—111no—
1141C2×C22⋊C4—111no—
1142C2×C22⋊C4—111no—
1143C2×C22⋊C4—111no—
1144C2×C22⋊C4—111no—
1145C2×C22⋊C4—111no—
1146C2×C22⋊C4—111no—
1147C2×C22⋊C4—111no—
1148C2×C22⋊C4—111no—
1149C2×C22⋊C4—111no—
1150C2×C22⋊C4—111no—
1151C2×C22⋊C4—111no—
1152C2×C22⋊C4—111no—
1153C2×C22⋊C4—111no—
1154C2×C22⋊C4—111no—
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—111no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—224no—
1166C2×C22⋊C4—224no—
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C22⋊C4C22×D1111yescharacteristic
1171C2×C22⋊C4C22×D1111yescharacteristic
1172C2×C22⋊C4C22×D1111yescharacteristic
1173C2×C22⋊C4C22×D1111yescharacteristic
1174C2×C22⋊C4C22×D1111yescharacteristic
1175C2×C22⋊C4C22×D1111yescharacteristic
1176C2×C22⋊C4C22×D1111yescharacteristic
1177C2×C42—111no—
1178C2×C42—111no—
1179C2×C42—111no—
1180C2×C42—111no—
1181C2×C42—111no—
1182C2×C42—111no—
1183C2×C42—111no—
1184C2×C42—111no—
1185C2×C42—111no—
1186C2×C42—111no—
1187C2×C42—111no—
1188C2×C42—111no—
1189C2×C42—111no—
1190C2×C42—111no—
1191C2×C42—111no—
1192C2×C42—224no—
1193C2×C42—224no—
1194C2×C42—224no—
1195C2×C42—442no—
1196C2×C42C22×D1111yescharacteristic
1197C2×C42C22×D1111yescharacteristic
1198#95—111no—
1199#95—111no—
1200#95—111no—
1201#95—111no—
1202#95—111no—
1203#95—111no—
1204#95—111no—
1205#95—111no—
1206#95—111no—
1207#95—111no—
1208#95—111no—
1209#95—111no—
1210#95—111no—
1211#95—111no—
1212#95—111no—
1213#95—111no—
1214#95—111no—
1215#95—111no—
1216#95—111no—
1217#95—111no—
1218#95—111no—
1219#95—111no—
1220#95—111no—
1221#95—111no—
1222#95—111no—
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234C2×C11—24no—
1235C2×C11—42no—
1236C2×C11—42no—
1237C2×C11—42no—
1238C2×C11—81no—
1239C2×C11C2×#52511yescharacteristic
1240C2×C11#344411yescharacteristic
1241C2×C11#346011yescharacteristic
1242C2×C11C2×#54611yescharacteristic
1243C2×C11D4×#4111yescharacteristic
1244C2×C11#347511yescharacteristic
1245C2×C11#348111yescharacteristic
1246D11—42no—
1247C24—22no—
1248C24—22no—
1249C24—22no—
1250C24—22no—
1251C24—22no—
1252C24—41no—
1253C24—41no—
1254C24—111no—
1255C24C23×D1111yescharacteristic
1256C24C23×D1111yescharacteristic
1257C24C23×D1111yescharacteristic
1258C24C23×D1111yescharacteristic
1259C24C23×D1111yescharacteristic
1260#41—416no—
1261#41—2232no—
1262C2×Q8—22no—
1263C2×Q8—22no—
1264C2×Q8—41no—
1265C2×Q8—222no—
1266C2×Q8—222no—
1267C2×Q8—222no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—114no—
1289C2×D4—222no—
1290C2×D4—222no—
1291C2×D4—222no—
1292C2×D4—222no—
1293C2×D4—222no—
1294C2×D4—222no—
1295C2×D4—222no—
1296C2×D4—222no—
1297C2×D4—222no—
1298C2×D4—222no—
1299C2×D4—222no—
1300C2×D4—441no—
1301C2×D4—441no—
1302C2×D4—441no—
1303C2×D4C2×C22⋊D1114yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—416no—
1326C22×C4—114no—
1327C22×C4—111no—
1328C22×C4—111no—
1329C22×C4—111no—
1330C22×C4—111no—
1331C22×C4—111no—
1332C22×C4—111no—
1333C22×C4—111no—
1334C22×C4—111no—
1335C22×C4—111no—
1336C22×C4—111no—
1337C22×C4—111no—
1338C22×C4—111no—
1339C22×C4—111no—
1340C22×C4—111no—
1341C22×C4—111no—
1342C22×C4—222no—
1343C22×C4—222no—
1344C22×C4—222no—
1345C22×C4—222no—
1346C22×C4—222no—
1347C22×C4—222no—
1348C22×C4—222no—
1349C22×C4—222no—
1350C22×C4—222no—
1351C22×C4—222no—
1352C22×C4—222no—
1353C22×C4—222no—
1354C22×C4—222no—
1355C22×C4—222no—
1356C22×C4—222no—
1357C22×C4—222no—
1358C22×C4—222no—
1359C22×C4—222no—
1360C22×C4—222no—
1361C22×C4—222no—
1362C22×C4—441no—
1363C22×C4—441no—
1364C22×C4—441no—
1365C22×C4—441no—
1366C22×C4—441no—
1367C22×C4—441no—
1368C22×C4#434114yescomplemented
1369C22×C4C2×C22⋊D1114yes—
1370C22×C4C2×C22⋊D1114yes—
1371C22×C4C23×D1111yescharacteristic
1372C22×C4C23×D1111yescharacteristic
1373C22×C4C23×D1111yescharacteristic
1374C22×C4C23×D1111yescharacteristic
1375C22×C4C23×D1111yescharacteristic
1376C22×C4C23×D1111yescharacteristic
1377C22×C4C23×D1111yescharacteristic
1378C22×C4C23×D1111yescharacteristic
1379C22×C4C23×D1111yescharacteristic
1380C22×C4C23×D1111yescharacteristic
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—222no—
1387C4⋊C4—222no—
1388C4⋊C4—222no—
1389C4⋊C4—222no—
1390C4⋊C4—222no—
1391C4⋊C4—222no—
1392C4⋊C4—222no—
1393C4⋊C4—222no—
1394C4⋊C4—222no—
1395C4⋊C4—222no—
1396C4⋊C4—222no—
1397C4⋊C4—222no—
1398C4⋊C4—441no—
1399C4⋊C4—441no—
1400C4⋊C4—441no—
1401C4⋊C4—441no—
1402C4⋊C4—441no—
1403C4⋊C4—441no—
1404C4⋊C4C2×C22⋊D1114yes—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—114no—
1414C22⋊C4—222no—
1415C22⋊C4—222no—
1416C22⋊C4—222no—
1417C22⋊C4—222no—
1418C22⋊C4—222no—
1419C22⋊C4—222no—
1420C22⋊C4—222no—
1421C22⋊C4—222no—
1422C22⋊C4—222no—
1423C22⋊C4—222no—
1424C22⋊C4—222no—
1425C22⋊C4—222no—
1426C22⋊C4—222no—
1427C22⋊C4—222no—
1428C22⋊C4—222no—
1429C22⋊C4—222no—
1430C22⋊C4—222no—
1431C22⋊C4—222no—
1432C22⋊C4—222no—
1433C22⋊C4—222no—
1434C22⋊C4—222no—
1435C22⋊C4—222no—
1436C22⋊C4—222no—
1437C22⋊C4—222no—
1438C22⋊C4—441no—
1439C22⋊C4—441no—
1440C22⋊C4—441no—
1441C22⋊C4—441no—
1442C22⋊C4—441no—
1443C22⋊C4—441no—
1444C22⋊C4—441no—
1445C22⋊C4—441no—
1446C22⋊C4—441no—
1447C22⋊C4—441no—
1448C22⋊C4—441no—
1449C22⋊C4C2×C22⋊D1114yes—
1450C22⋊C4C2×C22⋊D1114yes—
1451C42—22no—
1452C42—222no—
1453C42—222no—
1454C42—222no—
1455C42—222no—
1456C42—222no—
1457C42—222no—
1458C42—222no—
1459C42—222no—
1460C42—222no—
1461C42—222no—
1462C42—222no—
1463C42—222no—
1464C42—222no—
1465C42—441no—
1466C42—441no—
1467C42C2×C22⋊D1114yes—
1468C11#3473211yescharacteristic, complemented, Sylow
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—28no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—44no—
1504C23—44no—
1505C23—112no—
1506C23—221no—
1507C23—221no—
1508C23—221no—
1509C23—221no—
1510C23—221no—
1511C23—221no—
1512C23C2×#434112yes—
1513C23#41×D1112yes—
1514C23#41×D1112yes—
1515C23#41×D1112yes—
1516C23C22×C22⋊D1112yes—
1517C23C22×C22⋊D1112yes—
1518C23C24×D1111yescharacteristic
1519Q8—44no—
1520Q8—228no—
1521D4—28no—
1522D4—44no—
1523D4—44no—
1524D4—44no—
1525D4—44no—
1526D4—44no—
1527D4—44no—
1528D4—228no—
1529D4—228no—
1530D4—444no—
1531D4—444no—
1532D4—444no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—28no—
1544C2×C4—28no—
1545C2×C4—28no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—112no—
1564C2×C4—112no—
1565C2×C4—112no—
1566C2×C4—112no—
1567C2×C4—112no—
1568C2×C4—228no—
1569C2×C4—228no—
1570C2×C4—228no—
1571C2×C4—221no—
1572C2×C4—221no—
1573C2×C4—221no—
1574C2×C4—221no—
1575C2×C4—221no—
1576C2×C4—221no—
1577C2×C4—221no—
1578C2×C4—221no—
1579C2×C4—221no—
1580C2×C4—221no—
1581C2×C4—221no—
1582C2×C4—221no—
1583C2×C4—221no—
1584C2×C4—221no—
1585C2×C4—221no—
1586C2×C4—221no—
1587C2×C4—221no—
1588C2×C4—221no—
1589C2×C4—221no—
1590C2×C4—221no—
1591C2×C4—221no—
1592C2×C4—221no—
1593C2×C4—221no—
1594C2×C4—221no—
1595C2×C4—221no—
1596C2×C4—221no—
1597C2×C4—221no—
1598C2×C4—221no—
1599C2×C4—221no—
1600C2×C4—221no—
1601C2×C4—221no—
1602C2×C4—221no—
1603C2×C4—221no—
1604C2×C4—221no—
1605C2×C4—221no—
1606C2×C4—221no—
1607C2×C4—221no—
1608C2×C4—221no—
1609C2×C4—221no—
1610C2×C4—221no—
1611C2×C4—444no—
1612C2×C4—444no—
1613C2×C4—444no—
1614C2×C4—444no—
1615C2×C4—444no—
1616C2×C4—444no—
1617C2×C4C2×#434112yes—
1618C2×C4C2×#434112yes—
1619C2×C4#6703712yes—
1620C2×C4C22×C22⋊D1112yes—
1621C2×C4C22×C22⋊D1112yes—
1622C2×C4C22×C22⋊D1112yes—
1623C2×C4C22×C22⋊D1112yes—
1624C2×C4C22×C22⋊D1112yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—416no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—222no—
1661C22—222no—
1662C22—222no—
1663C22—441no—
1664C22—441no—
1665C22—441no—
1666C22—441no—
1667C22#1062335914yes—
1668C22C22×#434111yescharacteristic
1669C22C2×#6703711yescharacteristic
1670C22C2×#41×D1111yescharacteristic
1671C22C2×#41×D1111yescharacteristic
1672C22C2×#41×D1111yescharacteristic
1673C22#1062345311yescharacteristic
1674C22C23×C22⋊D1111yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—222no—
1685C4—222no—
1686C4—222no—
1687C4—222no—
1688C4—222no—
1689C4—441no—
1690C4—441no—
1691C4—441no—
1692C4—441no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C4—441no—
1697C4—441no—
1698C4—441no—
1699C4#1062333714yes—
1700C2—24no—
1701C2—42no—
1702C2—42no—
1703C2—42no—
1704C2—81no—
1705C2—442no—
1706C2C2×#1062335911yescharacteristic
1707C2#1308190811yescharacteristic
1708C2#1308203411yescharacteristic
1709C2C2×#1062333711yescharacteristic
1710C2#41×C22⋊D1111yescharacteristic
1711C2#1308217611yescharacteristic
1712C2#1308221811yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#525C2
hypercenterC2×#525D11
hypocenterC11#34732
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×C4×#4341C2semidirect
2. #13072813C2semidirect
3. #13072798C2semidirect
4. #13072723C2semidirect
5. #13072708C2semidirect
6. #13072633C2semidirect
7. #13072618C2semidirect
8. #13072534C2semidirect
9. #13072519C2semidirect
10. #13072436C2semidirect
11. #13072362C2semidirect
12. #13072288C2semidirect
13. #13072222C2semidirect
14. #13072148C2semidirect
15. #13072074C2semidirect
16. #13071997C2semidirect
17. #13071932C2semidirect
18. #13071900C2semidirect
19. #13071884C2semidirect
20. #13071858C2semidirect
21. #13071829C2semidirect
22. C4×#66988C2semidirect
23. C4×#66988C2semidirect
24. C4×#66992C2semidirect
25. C4×#66991C2semidirect
26. C4×#67006C2semidirect
27. #13071107C2semidirect
28. #13071061C2semidirect
29. #13071053C2semidirect
30. C2×C4×C22⋊Dic11C2semidirect
31. C2×C11×#525C2semidirect
60. C2×C4×C22⋊D11C22semidirect
61. C2×C4×C22⋊D11C22semidirect
62. C2×#66979C22semidirect
65. C22×C4×Dic11C22semidirect
67. C2×#66945C22semidirect
68. C2×#66940C22semidirect
70. C2×(C22⋊D11)⋊C4C22semidirect
72. C2×#66930C22semidirect
73. C2×C42×D11C22semidirect
74. C2×C4×Dic22C22semidirect
76. #10622844C22semidirect
77. #10622843C22semidirect
78. #10622843C22semidirect
79. #10622842C22semidirect
83. #10622836C22semidirect
89. #10622835C22semidirect
100. #10622833C22semidirect
101. #10622833C22semidirect
119. C4×C22⋊Dic11C22semidirect
120. C4×C22⋊Dic11C22semidirect
121. C4×C22⋊Dic11C22semidirect
122. C4×C22⋊Dic11C22semidirect
125. #10622607C22semidirect
126. #10622603C22semidirect
127. #10622602C22semidirect
128. #10622602C22semidirect
129. #10622600C22semidirect
130. #10622599C22semidirect
131. #10622597C22semidirect
132. #10622597C22semidirect
133. #10622597C22semidirect
134. #10622595C22semidirect
135. #10622595C22semidirect
136. #10622594C22semidirect
137. #10622594C22semidirect
138. #10622592C22semidirect
139. #10622591C22semidirect
140. #10622591C22semidirect
141. #10622591C22semidirect
142. #10622591C22semidirect
143. #10622591C22semidirect
144. #10622591C22semidirect
145. #10622586C22semidirect
146. #10622585C22semidirect
148. #10622572C22semidirect
150. #10622570C22semidirect
154. #10622569C22semidirect
156. #10622566C22semidirect
157. #10622565C22semidirect
158. #10622564C22semidirect
159. #10622564C22semidirect
168. #10622560C22semidirect
170. #10622559C22semidirect
171. #10622558C22semidirect
177. #10622557C22semidirect
178. #10622557C22semidirect
179. #10622557C22semidirect
181. #10622556C22semidirect
183. C4×(C2×D11)⋊C4C22semidirect
184. C4×C4⋊Dic11C22semidirect
185. #10622545C22semidirect
186. C4×Dic11⋊C4C22semidirect
187. C4×Dic11⋊C4C22semidirect
188. C4×Dic11⋊C4C22semidirect
241. C4×D4×C11D4semidirect
454. C22×C4×C11#41semidirect
479. C2×C22⋊D11#41semidirect
497. C22×Dic11#41semidirect
572. C22⋊Dic11#41semidirect
613. C2×#525D11semidirect
1099. C4×D4C22⋊D11semidirect
1368. C22×C4#4341semidirect
1468. C11#34732semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#43412
#130728132
#130727982
#130727232
#130727082
#130726332
#130726182
#130725342
#130725192
#130724362
#130723622
#130722882
#130722222
#130721482
#130720742
#130719972
#130719322
#130719002
#130718842
#130718582
#130718292
C4×#669882
C4×#669922
C4×#669912
C4×#670062
#130711072
#130710612
#130710532
C2×C4×C22⋊Dic112
C2×C11×#5252
#3473211