Finite Group Databasebeta

← #14925242

Subgroups — #14925242

Order 2816.

2726 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#4339C211yesmaximal, characteristic, complemented
2C2×#10623053C211yesmaximal, characteristic, complemented
3#13074205C211yesmaximal, characteristic, complemented
4#13074202C211yesmaximal, characteristic, complemented
5#13074201C211yesmaximal, characteristic, complemented
6#13074200C211yesmaximal, characteristic, complemented
7#13074191C211yesmaximal, characteristic, complemented
8#13074189C211yesmaximal, characteristic, complemented
9#13074180C211yesmaximal, characteristic, complemented
10#13074178C211yesmaximal, characteristic, complemented
11#13073981C211yesmaximal, characteristic, complemented
12#13073973C211yesmaximal, characteristic, complemented
13#13073524C211yesmaximal, characteristic, complemented
14#13073516C211yesmaximal, characteristic, complemented
15#13072912C211yesmaximal, characteristic, complemented
16#13072910C211yesmaximal, characteristic, complemented
17#13071960C211yesmaximal, characteristic, complemented
18#13071958C211yesmaximal, characteristic, complemented
19#13071879C211yesmaximal, characteristic, complemented
20#13071877C211yesmaximal, characteristic, complemented
21#13071832C211yesmaximal, characteristic, complemented
22#13071831C211yesmaximal, characteristic, complemented
23C4×#66949C211yesmaximal, characteristic, complemented
24C4×#66931C211yesmaximal, characteristic, complemented
25C4×#66937C211yesmaximal, characteristic, complemented
26C4×#66992C211yesmaximal, characteristic, complemented
27#13071060C211yesmaximal, characteristic, complemented
28#13071059C211yesmaximal, characteristic, complemented
29#13071053C211yesmaximal, characteristic, complemented
30#13071008C211yesmaximal, characteristic, complemented
31C11×#2290C211yesmaximal, characteristic, complemented
32C22×#4339C2211yescharacteristic
33C22×#4339C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C11×#117C2211yescharacteristic
36C22×C42×C11C2211yescharacteristic
37C2×#66992C2211yescharacteristic
38C2×C4×C22⋊D11C2211yescharacteristic
39C2×C4×C22⋊D11C2211yescharacteristic
40C2×C4×C22⋊D11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×#66979C2211yescharacteristic
45C22×C4×Dic11C2211yescharacteristic
46#10623053—28no—
47C2×#66949C2211yescharacteristic
48C2×#66946C2211yescharacteristic
49C2×#66946C2211yescharacteristic
50C2×#66940C2211yescharacteristic
51C2×#66940C2211yescharacteristic
52C2×#66937C2211yescharacteristic
53C2×(C22⋊D11)⋊C4C2211yescharacteristic
54C2×(C22⋊D11)⋊C4C2211yescharacteristic
55C2×(C22⋊D11)⋊C4C2211yescharacteristic
56C2×(C22⋊D11)⋊C4C2211yescharacteristic
57C2×#66931C2211yescharacteristic
58C4×#4339—28no—
59C2×C4×D44C2211yescharacteristic
60C2×C4×D44C2211yescharacteristic
61C2×C4×D44C2211yescharacteristic
62C2×#66925C2211yescharacteristic
63C2×#66925C2211yescharacteristic
64C2×#66925C2211yescharacteristic
65C2×#66925C2211yescharacteristic
66C2×C42×D11C2211yescharacteristic
67C2×C42×D11C2211yescharacteristic
68C2×C42×D11C2211yescharacteristic
69C2×C4×Dic22C2211yescharacteristic
70C2×C4×Dic22C2211yescharacteristic
71C11×#388C2211yescharacteristic
72C11×#388C2211yescharacteristic
73C11×#387C2211yescharacteristic
74C11×#387C2211yescharacteristic
75C11×#386C2211yescharacteristic
76C11×#386C2211yescharacteristic
77C11×#385C2211yescharacteristic
78C11×#385C2211yescharacteristic
79C4×C11×C4⋊C4C2211yescharacteristic
80C4×C11×C22⋊C4C2211yescharacteristic
81C4×C11×C22⋊C4C2211yescharacteristic
82C11×#376C2211yescharacteristic
83#10622836C2211yescharacteristic
84#10622836C2211yescharacteristic
85#10622833C2211yescharacteristic
86#10622826C2211yescharacteristic
87#10622826C2211yescharacteristic
88#10622823C2211yescharacteristic
89#10622823C2211yescharacteristic
90C4×C22⋊Dic11C2211yescharacteristic
91C4×C22⋊Dic11C2211yescharacteristic
92#10622606C2211yescharacteristic
93#10622605C2211yescharacteristic
94#10622604C2211yescharacteristic
95#10622604C2211yescharacteristic
96#10622603C2211yescharacteristic
97#10622602C2211yescharacteristic
98#10622602C2211yescharacteristic
99#10622602C2211yescharacteristic
100#10622597C2211yescharacteristic
101#10622594C2211yescharacteristic
102#10622592C2211yescharacteristic
103#10622591C2211yescharacteristic
104#10622591C2211yescharacteristic
105#10622585C2211yescharacteristic
106#10622585C2211yescharacteristic
107#10622574C2211yescharacteristic
108#10622574C2211yescharacteristic
109#10622574C2211yescharacteristic
110#10622573C2211yescharacteristic
111#10622573C2211yescharacteristic
112#10622573C2211yescharacteristic
113#10622572C2211yescharacteristic
114#10622572C2211yescharacteristic
115#10622572C2211yescharacteristic
116#10622571C2211yescharacteristic
117#10622570C2211yescharacteristic
118#10622570C2211yescharacteristic
119#10622569C2211yescharacteristic
120#10622569C2211yescharacteristic
121#10622569C2211yescharacteristic
122#10622565C2211yescharacteristic
123#10622564C2211yescharacteristic
124#10622563C2211yescharacteristic
125#10622562C2211yescharacteristic
126#10622560C2211yescharacteristic
127#10622559C2211yescharacteristic
128#10622558C2211yescharacteristic
129#10622557C2211yescharacteristic
130#10622557C2211yescharacteristic
131#10622555C2211yescharacteristic
132#10622555C2211yescharacteristic
133#10622553C2211yescharacteristic
134#10622553C2211yescharacteristic
135C4×(C2×D11)⋊C4C2211yescharacteristic
136C4×(C2×D11)⋊C4C2211yescharacteristic
137C4×(C2×D11)⋊C4C2211yescharacteristic
138C4×(C2×D11)⋊C4C2211yescharacteristic
139C4×(C2×D11)⋊C4C2211yescharacteristic
140C4×(C2×D11)⋊C4C2211yescharacteristic
141C4×C4⋊Dic11C2211yescharacteristic
142#10622546C2211yescharacteristic
143#10622546C2211yescharacteristic
144#10622545C2211yescharacteristic
145C4×Dic11⋊C4C2211yescharacteristic
146C4×Dic11⋊C4C2211yescharacteristic
147C4×Dic11⋊C4C2211yescharacteristic
148C4×Dic11⋊C4C2211yescharacteristic
149#10622288C2211yescharacteristic
150#10622288C2211yescharacteristic
151#10622288C2211yescharacteristic
152#10622287C2211yescharacteristic
153#10622286C2211yescharacteristic
154#10622285C2211yescharacteristic
155#10622285C2211yescharacteristic
156#10622284C2211yescharacteristic
157#10622283C2211yescharacteristic
158#10622283C2211yescharacteristic
159#10622282C2211yescharacteristic
160#10622281C2211yescharacteristic
161#10622281C2211yescharacteristic
162#10622281C2211yescharacteristic
163#10622280C2211yescharacteristic
164#10622280C2211yescharacteristic
165#10622280C2211yescharacteristic
166#10622280C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622277C2211yescharacteristic
171#10622277C2211yescharacteristic
172#10622273C2211yescharacteristic
173#10622271C2211yescharacteristic
174#10622270C2211yescharacteristic
175#10622269C2211yescharacteristic
176#10622268C2211yescharacteristic
177#10622267C2211yescharacteristic
178#10622266C2211yescharacteristic
179#10622266C2211yescharacteristic
180#10622265C2211yescharacteristic
181#10622264C2211yescharacteristic
182#10622264C2211yescharacteristic
183#10622263C2211yescharacteristic
184#10622263C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622260C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C23×C4×C11C2311yescharacteristic
191C23×C4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C22×C22⋊D11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C23×Dic11C2311yescharacteristic
201C23×Dic11C2311yescharacteristic
202C2×#4339—24no—
203C2×#4339—24no—
204C2×#4339—24no—
205C2×#4339—24no—
206C2×#4339—24no—
207C2×#4339—24no—
208C22×D44C2311yescharacteristic
209C22×D44C2311yescharacteristic
210C22×D44C2311yescharacteristic
211C22×C4×D11C2311yescharacteristic
212C22×C4×D11C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×Dic22C2311yescharacteristic
221C22×Dic22C2311yescharacteristic
222C4×D4×C11—24no—
223C11×#117—24no—
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊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×C42×C11—24no—
238C2×C42×C11C2311yescharacteristic
239C2×C42×C11C2311yescharacteristic
240C2×C42×C11C2311yescharacteristic
241C2×C42×C11C2311yescharacteristic
242C2×C42×C11C2311yescharacteristic
243C2×C42×C11C2311yescharacteristic
244C2×C42×C11C2311yescharacteristic
245C2×C22⋊Dic11C2311yescharacteristic
246C2×C22⋊Dic11C2311yescharacteristic
247C2×C22⋊Dic11C2311yescharacteristic
248C2×C22⋊Dic11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253#66992—24no—
254C4×C22⋊D11—24no—
255C4×C22⋊D11—24no—
256C4×C22⋊D11—24no—
257C4×C22⋊D11—24no—
258C4×C22⋊D11—24no—
259C4×C22⋊D11—24no—
260C2×(C2×D11)⋊C4C2311yescharacteristic
261C2×(C2×D11)⋊C4C2311yescharacteristic
262C2×(C2×D11)⋊C4C2311yescharacteristic
263C2×(C2×D11)⋊C4C2311yescharacteristic
264C2×(C2×D11)⋊C4C2311yescharacteristic
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×(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×(C2×D11)⋊C4C2311yescharacteristic
283C2×(C2×D11)⋊C4C2311yescharacteristic
284#66979—24no—
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×Dic11⋊C4C2311yescharacteristic
303C2×Dic11⋊C4C2311yescharacteristic
304C2×Dic11⋊C4C2311yescharacteristic
305C2×Dic11⋊C4C2311yescharacteristic
306C2×Dic11⋊C4C2311yescharacteristic
307C2×Dic11⋊C4C2311yescharacteristic
308C2×C4×Dic11—24no—
309C2×C4×Dic11C2311yescharacteristic
310C2×C4×Dic11C2311yescharacteristic
311C2×C4×Dic11C2311yescharacteristic
312C2×C4×Dic11C2311yescharacteristic
313C2×C4×Dic11C2311yescharacteristic
314C2×C4×Dic11C2311yescharacteristic
315C2×C4×Dic11C2311yescharacteristic
316C2×C4×Dic11C2311yescharacteristic
317C2×C4×Dic11C2311yescharacteristic
318C2×C4×Dic11C2311yescharacteristic
319C2×C4×Dic11C2311yescharacteristic
320C2×C4×Dic11C2311yescharacteristic
321C2×C4×Dic11C2311yescharacteristic
322#66949—24no—
323#66946—24no—
324#66946—24no—
325#66940—24no—
326#66940—24no—
327#66937—24no—
328(C22⋊D11)⋊C4—24no—
329(C22⋊D11)⋊C4—24no—
330(C22⋊D11)⋊C4—24no—
331(C22⋊D11)⋊C4—24no—
332#66931—24no—
333C4×D44—24no—
334C4×D44—24no—
335C4×D44—24no—
336#66925—24no—
337#66925—24no—
338#66925—24no—
339#66925—24no—
340C42×D11—24no—
341C42×D11—24no—
342C42×D11D418yescomplemented
343C4×Dic22—24no—
344C4×Dic22—24no—
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
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
385#34909—111nomaximal, Sylow
386C24×C11C2411yescharacteristic
387C24×C11C2411yescharacteristic
388C23×D11C2411yescharacteristic
389C23×D11C2411yescharacteristic
390C23×D11C2411yescharacteristic
391C2×D4×C11—22no—
392C2×D4×C11—22no—
393C2×D4×C11—41no—
394C22×C4×C11—22no—
395C22×C4×C11—22no—
396C22×C4×C11—22no—
397C22×C4×C11—22no—
398C22×C4×C11—22no—
399C22×C4×C11—22no—
400C22×C4×C11—22no—
401C22×C4×C11—22no—
402C22×C4×C11—22no—
403C22×C4×C11—41no—
404C22×C4×C11—41no—
405C22×C4×C11#4114yescomplemented
406C22×C4×C11C2411yescharacteristic
407C22×C4×C11C2411yescharacteristic
408C22×C4×C11C2411yescharacteristic
409C22×C4×C11C2411yescharacteristic
410C22×C4×C11C2411yescharacteristic
411C22×C4×C11C2411yescharacteristic
412C22×C4×C11C2411yescharacteristic
413C22×C4×C11C2411yescharacteristic
414C22×C4×C11C2411yescharacteristic
415C22×C4×C11C2411yescharacteristic
416C22×C4×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C2×C22⋊D11—22no—
420C2×C22⋊D11—22no—
421C2×C22⋊D11—22no—
422C2×C22⋊D11—22no—
423C2×C22⋊D11—22no—
424C2×C22⋊D11—22no—
425C2×C22⋊D11—22no—
426C2×C22⋊D11—22no—
427C2×C22⋊D11—22no—
428C2×C22⋊D11—22no—
429C2×C22⋊D11—22no—
430C2×C22⋊D11—22no—
431C2×C22⋊D11—22no—
432C2×C22⋊D11—22no—
433C2×C22⋊D11—22no—
434C2×C22⋊D11—41no—
435C2×C22⋊D11—41no—
436C2×C22⋊D11#4114yescomplemented
437C22×Dic11—22no—
438C22×Dic11—22no—
439C22×Dic11—22no—
440C22×Dic11—22no—
441C22×Dic11—41no—
442C22×Dic11—41no—
443C22×Dic11C2411yescharacteristic
444C22×Dic11C2411yescharacteristic
445C22×Dic11C2411yescharacteristic
446C22×Dic11C2411yescharacteristic
447C22×Dic11C2411yescharacteristic
448C22×Dic11C2411yescharacteristic
449C22×Dic11C2411yescharacteristic
450C22×Dic11C2411yescharacteristic
451C22×Dic11C2411yescharacteristic
452C22×Dic11C2411yescharacteristic
453C22×Dic11C2411yescharacteristic
454C22×Dic11C2411yescharacteristic
455C22×Dic11C2411yescharacteristic
456#4339—232no—
457#4339—232no—
458C2×D44—22no—
459C2×D44—22no—
460C2×D44—22no—
461C2×D44—22no—
462C2×D44—22no—
463C2×D44—22no—
464C2×D44—22no—
465C2×D44—22no—
466C2×D44—41no—
467C2×C4×D11—22no—
468C2×C4×D11—22no—
469C2×C4×D11—22no—
470C2×C4×D11—22no—
471C2×C4×D11—22no—
472C2×C4×D11—22no—
473C2×C4×D11—22no—
474C2×C4×D11—22no—
475C2×C4×D11—22no—
476C2×C4×D11—22no—
477C2×C4×D11—22no—
478C2×C4×D11—22no—
479C2×C4×D11—22no—
480C2×C4×D11—22no—
481C2×C4×D11—22no—
482C2×C4×D11—22no—
483C2×C4×D11—22no—
484C2×C4×D11—41no—
485C2×C4×D11—41no—
486C2×C4×D11—41no—
487C2×C4×D11—41no—
488C2×C4×D11—41no—
489C2×C4×D11—41no—
490C2×C4×D11C2×D414yes—
491C2×C4×D11C2×D414yes—
492C2×C4×D11C2×D414yes—
493C2×C4×D11#4114yescomplemented
494C2×Dic22—22no—
495C2×Dic22—22no—
496C2×Dic22—22no—
497C2×Dic22—22no—
498C2×Dic22—22no—
499C2×Dic22#4114yescomplemented
500C11×C4⋊C4—22no—
501C11×C4⋊C4—22no—
502C11×C4⋊C4—22no—
503C11×C4⋊C4—22no—
504C11×C4⋊C4—41no—
505C11×C22⋊C4—22no—
506C11×C22⋊C4—22no—
507C11×C22⋊C4—22no—
508C11×C22⋊C4—22no—
509C11×C22⋊C4—22no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—41no—
512C11×C22⋊C4—41no—
513C42×C11—22no—
514C42×C11—22no—
515C42×C11—22no—
516C42×C11—22no—
517C42×C11—22no—
518C42×C11—22no—
519C42×C11C2×D414yes—
520C22⋊Dic11—22no—
521C22⋊Dic11—22no—
522C22⋊Dic11—22no—
523C22⋊Dic11—22no—
524C22⋊Dic11—22no—
525C22⋊Dic11—22no—
526C22⋊Dic11—41no—
527C22⋊Dic11—41no—
528(C2×D11)⋊C4—22no—
529(C2×D11)⋊C4—22no—
530(C2×D11)⋊C4—22no—
531(C2×D11)⋊C4—22no—
532(C2×D11)⋊C4—22no—
533(C2×D11)⋊C4—22no—
534(C2×D11)⋊C4—22no—
535(C2×D11)⋊C4—22no—
536(C2×D11)⋊C4—22no—
537(C2×D11)⋊C4—22no—
538(C2×D11)⋊C4—22no—
539(C2×D11)⋊C4—22no—
540(C2×D11)⋊C4—22no—
541(C2×D11)⋊C4—22no—
542(C2×D11)⋊C4—22no—
543(C2×D11)⋊C4—22no—
544(C2×D11)⋊C4—41no—
545(C2×D11)⋊C4—41no—
546(C2×D11)⋊C4—41no—
547(C2×D11)⋊C4—41no—
548(C2×D11)⋊C4—41no—
549(C2×D11)⋊C4—41no—
550(C2×D11)⋊C4—41no—
551(C2×D11)⋊C4—41no—
552C4⋊Dic11—22no—
553C4⋊Dic11—22no—
554C4⋊Dic11—22no—
555C4⋊Dic11—22no—
556C4⋊Dic11—41no—
557Dic11⋊C4—22no—
558Dic11⋊C4—22no—
559Dic11⋊C4—22no—
560Dic11⋊C4—22no—
561Dic11⋊C4—22no—
562Dic11⋊C4—22no—
563Dic11⋊C4—22no—
564Dic11⋊C4—22no—
565Dic11⋊C4—22no—
566Dic11⋊C4—22no—
567Dic11⋊C4—22no—
568Dic11⋊C4—22no—
569Dic11⋊C4—22no—
570Dic11⋊C4—22no—
571Dic11⋊C4—22no—
572Dic11⋊C4—22no—
573Dic11⋊C4—41no—
574Dic11⋊C4—41no—
575C4×Dic11—22no—
576C4×Dic11—22no—
577C4×Dic11—22no—
578C4×Dic11—22no—
579C4×Dic11—22no—
580C4×Dic11—22no—
581C4×Dic11—22no—
582C4×Dic11—22no—
583C4×Dic11—22no—
584C4×Dic11—22no—
585C4×Dic11C2×D414yes—
586C4×Dic11C2×D414yes—
587C4×Dic11C2×D414yes—
588C2×C4×#41—111no—
589C2×C4×#41—111no—
590#2600—111no—
591#2600—111no—
592#2600—111no—
593#2600—111no—
594#2599—111no—
595#2599—111no—
596#2598—111no—
597#2598—111no—
598#2581—111no—
599#2580—111no—
600#2536—111no—
601#2535—111no—
602#2485—111no—
603#2485—111no—
604#2407—111no—
605#2407—111no—
606#2395—111no—
607#2395—111no—
608#2388—111no—
609#2388—111no—
610C4×C22⋊Q8—111no—
611C4×C22⋊Q8—111no—
612C4×#121—111no—
613C4×#121—111no—
614#2290—111no—
615#2290—111no—
616#2290—111no—
617#2290D1111yescharacteristic, complemented
618#2283—111no—
619C23×C11—21no—
620C23×C11—21no—
621C23×C11—21no—
622C23×C11—21no—
623C23×C11—21no—
624C23×C11—21no—
625C23×C11—21no—
626C23×C11—21no—
627C23×C11—21no—
628C23×C11—21no—
629C23×C11—21no—
630C23×C11—21no—
631C23×C11C2×#4112yes—
632C23×C11C2×#4112yes—
633C23×C11C2511yescharacteristic
634C22×D11—21no—
635C22×D11—21no—
636C22×D11—21no—
637C22×D11—21no—
638C22×D11—21no—
639C22×D11—21no—
640C22×D11—21no—
641C22×D11—21no—
642C22×D11—21no—
643C22×D11—21no—
644C22×D11—21no—
645C22×D11—21no—
646C22×D11—21no—
647C22×D11—21no—
648C22×D11—21no—
649C22×D11—21no—
650C22×D11—21no—
651C22×D11—21no—
652C22×D11C22×D412yes—
653C22×D11C2×#4112yes—
654C22×D11C2×#4112yes—
655D4×C11—44no—
656C2×C4×C11—28no—
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—28no—
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×C11—21no—
683C2×C4×C11—21no—
684C2×C4×C11—21no—
685C2×C4×C11—21no—
686C2×C4×C11—21no—
687C2×C4×C11—21no—
688C2×C4×C11—21no—
689C2×C4×C11—21no—
690C2×C4×C11—44no—
691C2×C4×C11—44no—
692C2×C4×C11C22×D412yes—
693C2×C4×C11C22×D412yes—
694C2×C4×C11C22×D412yes—
695C2×C4×C11C2×#4112yes—
696C2×C4×C11C2×#4112yes—
697C2×C4×C11C2×#4112yes—
698C2×C4×C11C2×#4112yes—
699C22⋊D11—28no—
700C22⋊D11—28no—
701C22⋊D11—28no—
702C22⋊D11—28no—
703C22⋊D11—44no—
704C22⋊D11—44no—
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—21no—
732C2×Dic11—21no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—44no—
738C2×Dic11—44no—
739C2×Dic11C22×D412yes—
740C2×Dic11C22×D412yes—
741C2×Dic11C22×D412yes—
742C2×Dic11C2×#4112yes—
743C2×Dic11C2×#4112yes—
744C2×Dic11C2×#4112yes—
745C2×Dic11C2×#4112yes—
746D44—28no—
747D44—28no—
748D44—44no—
749C4×D11—28no—
750C4×D11—28no—
751C4×D11—28no—
752C4×D11—28no—
753C4×D11—44no—
754C4×D11—44no—
755C4×D11—44no—
756C4×D11—44no—
757C4×D11—44no—
758Dic22—28no—
759Dic22—28no—
760C22×#41—111no—
761C22×#41—111no—
762C2×C22⋊Q8—111no—
763C2×C22⋊Q8—111no—
764C2×#121—111no—
765C2×#121—111no—
766C4×#41—228no—
767C4×#41—228no—
768C2×C4×Q8—111no—
769C2×C4×Q8—111no—
770C2×C4×Q8—111no—
771C2×C4×Q8—111no—
772C2×C4×D4—111no—
773C2×C4×D4—111no—
774C2×C4×D4—111no—
775C2×C4×D4—111no—
776C2×C4×D4—111no—
777C2×C4×D4—111no—
778C2×C4×D4—111no—
779C2×C4×D4—111no—
780C2×C4×D4—111no—
781C2×C4×D4—111no—
782C2×C4×D4—111no—
783C2×C4×D4—111no—
784C2×C4×D4—111no—
785C2×C4×D4—111no—
786C2×C4×D4—111no—
787C2×C4×D4C2×D1111yescharacteristic
788C2×#117—111no—
789C2×#117—111no—
790C2×#117—111no—
791C2×#117—111no—
792C2×#117—111no—
793C2×#117C2×D1111yescharacteristic
794C22×C42—111no—
795C22×C42—111no—
796C22×C42—111no—
797C22×C42—111no—
798C22×C42C2×D1111yescharacteristic
799#400—111no—
800#400—111no—
801#399—111no—
802#399—111no—
803#398—111no—
804#398—111no—
805#397—111no—
806#397—111no—
807#397—111no—
808#397—111no—
809#397—111no—
810#397—111no—
811#395—111no—
812#395—111no—
813#394—111no—
814#394—111no—
815#394—111no—
816#394—111no—
817#394—111no—
818#394—111no—
819#394—111no—
820#394—111no—
821#394—111no—
822#394—111no—
823#393—111no—
824#393—111no—
825#392—111no—
826#392—111no—
827#392—111no—
828#392—111no—
829#392—111no—
830#392—111no—
831#391—111no—
832#391—111no—
833#390—111no—
834#390—111no—
835#389—111no—
836#389—111no—
837#389—111no—
838#389—111no—
839#388—111no—
840#388—111no—
841#388—111no—
842#388—111no—
843#388—111no—
844#388—111no—
845#388—111no—
846#388—111no—
847#388—111no—
848#388—111no—
849#388C2×D1111yescharacteristic
850#388C2×D1111yescharacteristic
851#387—111no—
852#387—111no—
853#387—111no—
854#387—111no—
855#387—111no—
856#387—111no—
857#387—111no—
858#387—111no—
859#387—111no—
860#387—111no—
861#387C2×D1111yescharacteristic
862#387C2×D1111yescharacteristic
863#386—111no—
864#386—111no—
865#386—111no—
866#386—111no—
867#386—111no—
868#386—111no—
869#386—111no—
870#386—111no—
871#386—111no—
872#386—111no—
873#386C2×D1111yescharacteristic
874#386C2×D1111yescharacteristic
875#385—111no—
876#385—111no—
877#385—111no—
878#385—111no—
879#385—111no—
880#385—111no—
881#385—111no—
882#385—111no—
883#385—111no—
884#385—111no—
885#385C2×D1111yescharacteristic
886#385C2×D1111yescharacteristic
887#383—111no—
888#383—111no—
889#382—111no—
890#382—111no—
891#381—111no—
892#381—111no—
893#380—111no—
894#380—111no—
895#380—111no—
896#380—111no—
897#380—111no—
898#380—111no—
899C4×C4⋊C4—111no—
900C4×C4⋊C4—111no—
901C4×C4⋊C4—111no—
902C4×C4⋊C4—111no—
903C4×C4⋊C4—111no—
904C4×C4⋊C4C2×D1111yescharacteristic
905C4×C22⋊C4—111no—
906C4×C22⋊C4—111no—
907C4×C22⋊C4—111no—
908C4×C22⋊C4—111no—
909C4×C22⋊C4—111no—
910C4×C22⋊C4—111no—
911C4×C22⋊C4—111no—
912C4×C22⋊C4—111no—
913C4×C22⋊C4C2×D1111yescharacteristic
914C4×C22⋊C4C2×D1111yescharacteristic
915#376—111no—
916#376C2×D1111yescharacteristic
917C22×C11—22no—
918C22×C11—22no—
919C22×C11—22no—
920C22×C11—22no—
921C22×C11—22no—
922C22×C11—22no—
923C22×C11—41no—
924C22×C11—41no—
925C22×C11—41no—
926C22×C11—41no—
927C22×C11—41no—
928C22×C11—41no—
929C22×C11—41no—
930C22×C11—41no—
931C22×C11C23×D411yescharacteristic
932C22×C11C22×#4111yescharacteristic
933C22×C11C22×#4111yescharacteristic
934C22×C11C22×#4111yescharacteristic
935C22×C11C22×#4111yescharacteristic
936C22×C11#58511yescharacteristic
937C22×C11#58511yescharacteristic
938C2×D11—22no—
939C2×D11—22no—
940C2×D11—22no—
941C2×D11—22no—
942C2×D11—22no—
943C2×D11—22no—
944C2×D11—22no—
945C2×D11—22no—
946C2×D11—22no—
947C2×D11—41no—
948C2×D11—41no—
949C2×D11—41no—
950C2×D11—41no—
951C2×D11—41no—
952C2×D11—41no—
953C2×D11—41no—
954C2×D11—41no—
955C2×D11—41no—
956C2×D11—41no—
957C2×D11—41no—
958C2×D11—41no—
959C4×C11—22no—
960C4×C11—22no—
961C4×C11—22no—
962C4×C11—22no—
963C4×C11—41no—
964C4×C11—41no—
965C4×C11—41no—
966C4×C11—41no—
967C4×C11—41no—
968C4×C11—41no—
969C4×C11—41no—
970C4×C11—41no—
971C4×C11#52514yes—
972Dic11—22no—
973Dic11—22no—
974Dic11—22no—
975Dic11—22no—
976Dic11—41no—
977Dic11—41no—
978Dic11—41no—
979Dic11—41no—
980Dic11—41no—
981Dic11—41no—
982Dic11—41no—
983Dic11—41no—
984Dic11#52514yes—
985C2×#41—224no—
986C2×#41—224no—
987C2×#41—224no—
988C2×#41—224no—
989C2×#41—224no—
990C2×#41—224no—
991C22×Q8—111no—
992C22×Q8—111no—
993C22×D4—111no—
994C22×D4—111no—
995C22×D4—111no—
996C22×D4—111no—
997C22×D4—111no—
998C22×D4—111no—
999C22×D4—111no—
1000C22×D4—111no—
1001C22×D4—111no—
1002C22×D4C22×D1111yescharacteristic
1003C23×C4—111no—
1004C23×C4—111no—
1005C23×C4—111no—
1006C23×C4—111no—
1007C23×C4—111no—
1008C23×C4—111no—
1009C23×C4—111no—
1010C23×C4—111no—
1011C23×C4—111no—
1012C23×C4—111no—
1013C23×C4—111no—
1014C23×C4C22×D1111yescharacteristic
1015C23×C4C22×D1111yescharacteristic
1016C23×C4C22×D1111yescharacteristic
1017C23×C4C22×D1111yescharacteristic
1018C22⋊Q8—224no—
1019C22⋊Q8—224no—
1020#121—224no—
1021#121—224no—
1022C4×Q8—224no—
1023C4×Q8—224no—
1024C4×Q8—224no—
1025C4×Q8—224no—
1026C4×D4—24no—
1027C4×D4—224no—
1028C4×D4—224no—
1029C4×D4—224no—
1030C4×D4—224no—
1031C4×D4—224no—
1032C4×D4—224no—
1033C4×D4—224no—
1034C4×D4—224no—
1035C4×D4—224no—
1036C4×D4—224no—
1037C4×D4—224no—
1038C4×D4—224no—
1039C4×D4—224no—
1040C4×D4—224no—
1041C4×D4—224no—
1042#117—24no—
1043#117—224no—
1044#117—224no—
1045#117—224no—
1046#117—224no—
1047#117—224no—
1048C2×C4⋊C4—111no—
1049C2×C4⋊C4—111no—
1050C2×C4⋊C4—111no—
1051C2×C4⋊C4—111no—
1052C2×C4⋊C4—111no—
1053C2×C4⋊C4—111no—
1054C2×C4⋊C4—111no—
1055C2×C4⋊C4—111no—
1056C2×C4⋊C4—111no—
1057C2×C4⋊C4—111no—
1058C2×C4⋊C4—111no—
1059C2×C4⋊C4—111no—
1060C2×C4⋊C4—111no—
1061C2×C4⋊C4—111no—
1062C2×C4⋊C4—111no—
1063C2×C4⋊C4—111no—
1064C2×C4⋊C4—111no—
1065C2×C4⋊C4—111no—
1066C2×C4⋊C4—111no—
1067C2×C4⋊C4—111no—
1068C2×C4⋊C4—111no—
1069C2×C4⋊C4—111no—
1070C2×C4⋊C4—111no—
1071C2×C4⋊C4C22×D1111yescharacteristic
1072C2×C4⋊C4C22×D1111yescharacteristic
1073C2×C4⋊C4C22×D1111yescharacteristic
1074C2×C4⋊C4C22×D1111yescharacteristic
1075C2×C4⋊C4C22×D1111yescharacteristic
1076C2×C22⋊C4—111no—
1077C2×C22⋊C4—111no—
1078C2×C22⋊C4—111no—
1079C2×C22⋊C4—111no—
1080C2×C22⋊C4—111no—
1081C2×C22⋊C4—111no—
1082C2×C22⋊C4—111no—
1083C2×C22⋊C4—111no—
1084C2×C22⋊C4—111no—
1085C2×C22⋊C4—111no—
1086C2×C22⋊C4—111no—
1087C2×C22⋊C4—111no—
1088C2×C22⋊C4—111no—
1089C2×C22⋊C4—111no—
1090C2×C22⋊C4—111no—
1091C2×C22⋊C4—111no—
1092C2×C22⋊C4—111no—
1093C2×C22⋊C4—111no—
1094C2×C22⋊C4—111no—
1095C2×C22⋊C4—111no—
1096C2×C22⋊C4—111no—
1097C2×C22⋊C4—111no—
1098C2×C22⋊C4—111no—
1099C2×C22⋊C4—111no—
1100C2×C22⋊C4—111no—
1101C2×C22⋊C4—111no—
1102C2×C22⋊C4—111no—
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4C22×D1111yescharacteristic
1109C2×C22⋊C4C22×D1111yescharacteristic
1110C2×C22⋊C4C22×D1111yescharacteristic
1111C2×C22⋊C4C22×D1111yescharacteristic
1112C2×C22⋊C4C22×D1111yescharacteristic
1113C2×C22⋊C4C22×D1111yescharacteristic
1114C2×C22⋊C4C22×D1111yescharacteristic
1115C2×C22⋊C4C22×D1111yescharacteristic
1116C2×C42—24no—
1117C2×C42—111no—
1118C2×C42—111no—
1119C2×C42—111no—
1120C2×C42—118no—
1121C2×C42—111no—
1122C2×C42—111no—
1123C2×C42—111no—
1124C2×C42—111no—
1125C2×C42—111no—
1126C2×C42—111no—
1127C2×C42—111no—
1128C2×C42—111no—
1129C2×C42—111no—
1130C2×C42—111no—
1131C2×C42—224no—
1132C2×C42—224no—
1133C2×C42—224no—
1134C2×C42C22×D1111yescharacteristic
1135C2×C42C22×D1111yescharacteristic
1136C2×C42C22×D1111yescharacteristic
1137C2×C42C22×D1111yescharacteristic
1138C2×C42C22×D1111yescharacteristic
1139C2×C42C22×D1111yescharacteristic
1140C2×C42C22×D1111yescharacteristic
1141#95—111no—
1142#95—111no—
1143#95—111no—
1144#95—111no—
1145#95—111no—
1146#95—111no—
1147#95—111no—
1148#95—111no—
1149#95—111no—
1150#95—111no—
1151#95—111no—
1152#95—111no—
1153#95—111no—
1154#95—111no—
1155#95—111no—
1156#95—111no—
1157#95—111no—
1158#95—111no—
1159#95—111no—
1160#95—111no—
1161#95—111no—
1162#95—111no—
1163#95—111no—
1164#95—111no—
1165#95—111no—
1166#95—111no—
1167#95—111no—
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95C22×D1111yescharacteristic
1172#95C22×D1111yescharacteristic
1173#95C22×D1111yescharacteristic
1174#95C22×D1111yescharacteristic
1175#95C22×D1111yescharacteristic
1176#95C22×D1111yescharacteristic
1177#95C22×D1111yescharacteristic
1178#95C22×D1111yescharacteristic
1179#95C22×D1111yescharacteristic
1180#95C22×D1111yescharacteristic
1181C2×C11—42no—
1182C2×C11—42no—
1183C2×C11C2×#52511yescharacteristic
1184C2×C11C2×#52511yescharacteristic
1185C2×C11#344911yescharacteristic
1186C2×C11#347511yescharacteristic
1187C2×C11#347511yescharacteristic
1188C2×C11#348011yescharacteristic
1189C2×C11#348011yescharacteristic
1190D11—42no—
1191D11—42no—
1192D11—42no—
1193C24—111no—
1194C24—111no—
1195C24—111no—
1196C24C23×D1111yescharacteristic
1197C24C23×D1111yescharacteristic
1198#41—2232no—
1199#41—2232no—
1200C2×Q8—114no—
1201C2×Q8—222no—
1202C2×Q8—222no—
1203C2×Q8—222no—
1204C2×Q8—222no—
1205C2×Q8—222no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—41no—
1209C2×D4—114no—
1210C2×D4—222no—
1211C2×D4—222no—
1212C2×D4—222no—
1213C2×D4—222no—
1214C2×D4—222no—
1215C2×D4—222no—
1216C2×D4—222no—
1217C2×D4—222no—
1218C2×D4—222no—
1219C2×D4—222no—
1220C2×D4—222no—
1221C2×D4—222no—
1222C2×D4—222no—
1223C2×D4—222no—
1224C2×D4—222no—
1225C2×D4—222no—
1226C2×D4—222no—
1227C2×D4—222no—
1228C2×D4—222no—
1229C2×D4—222no—
1230C2×D4—222no—
1231C2×D4—222no—
1232C2×D4—222no—
1233C2×D4—441no—
1234C2×D4—441no—
1235C2×D4—441no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—111no—
1248C22×C4—111no—
1249C22×C4—111no—
1250C22×C4—111no—
1251C22×C4—111no—
1252C22×C4—114no—
1253C22×C4—114no—
1254C22×C4—114no—
1255C22×C4—114no—
1256C22×C4—111no—
1257C22×C4—111no—
1258C22×C4—111no—
1259C22×C4—111no—
1260C22×C4—111no—
1261C22×C4—111no—
1262C22×C4—111no—
1263C22×C4—111no—
1264C22×C4—222no—
1265C22×C4—222no—
1266C22×C4—222no—
1267C22×C4—222no—
1268C22×C4—222no—
1269C22×C4—222no—
1270C22×C4—222no—
1271C22×C4—222no—
1272C22×C4—222no—
1273C22×C4—222no—
1274C22×C4—222no—
1275C22×C4—222no—
1276C22×C4—222no—
1277C22×C4—222no—
1278C22×C4—222no—
1279C22×C4—222no—
1280C22×C4—222no—
1281C22×C4—222no—
1282C22×C4—222no—
1283C22×C4—222no—
1284C22×C4—222no—
1285C22×C4—441no—
1286C22×C4—441no—
1287C22×C4—441no—
1288C22×C4—441no—
1289C22×C4—441no—
1290C22×C4—441no—
1291C22×C4—441no—
1292C22×C4—441no—
1293C22×C4#433914yescomplemented
1294C22×C4C23×D1111yescharacteristic
1295C22×C4C23×D1111yescharacteristic
1296C22×C4C23×D1111yescharacteristic
1297C22×C4C23×D1111yescharacteristic
1298C22×C4C23×D1111yescharacteristic
1299C22×C4C23×D1111yescharacteristic
1300C22×C4C23×D1111yescharacteristic
1301C22×C4C23×D1111yescharacteristic
1302C22×C4C23×D1111yescharacteristic
1303C22×C4C23×D1111yescharacteristic
1304C22×C4C23×D1111yescharacteristic
1305C22×C4C23×D1111yescharacteristic
1306C22×C4C23×D1111yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—41no—
1312C4⋊C4—222no—
1313C4⋊C4—222no—
1314C4⋊C4—222no—
1315C4⋊C4—222no—
1316C4⋊C4—222no—
1317C4⋊C4—222no—
1318C4⋊C4—222no—
1319C4⋊C4—222no—
1320C4⋊C4—222no—
1321C4⋊C4—222no—
1322C4⋊C4—222no—
1323C4⋊C4—222no—
1324C4⋊C4—222no—
1325C4⋊C4—222no—
1326C4⋊C4—222no—
1327C4⋊C4—222no—
1328C4⋊C4—222no—
1329C4⋊C4—222no—
1330C4⋊C4—222no—
1331C4⋊C4—222no—
1332C4⋊C4—441no—
1333C4⋊C4—441no—
1334C4⋊C4—441no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
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—222no—
1363C22⋊C4—222no—
1364C22⋊C4—222no—
1365C22⋊C4—441no—
1366C22⋊C4—441no—
1367C22⋊C4—441no—
1368C22⋊C4—441no—
1369C22⋊C4—441no—
1370C22⋊C4—441no—
1371C22⋊C4—441no—
1372C22⋊C4—441no—
1373C22⋊C4—441no—
1374C22⋊C4—441no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—114no—
1382C42—114no—
1383C42—114no—
1384C42—222no—
1385C42—222no—
1386C42—222no—
1387C42—222no—
1388C42—222no—
1389C42—222no—
1390C42—222no—
1391C42—222no—
1392C42—222no—
1393C42—222no—
1394C42D4×D1114yes—
1395C11#3490911yescharacteristic, complemented, Sylow
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—112no—
1409C23—112no—
1410C23—112no—
1411C23—221no—
1412C23—221no—
1413C23—221no—
1414C23—221no—
1415C23—221no—
1416C23—221no—
1417C23—221no—
1418C23—221no—
1419C23—221no—
1420C23—221no—
1421C23—221no—
1422C23—221no—
1423C23—221no—
1424C23—221no—
1425C23—221no—
1426C23—221no—
1427C23—221no—
1428C23—221no—
1429C23C2×#433912yes—
1430C23#41×D1112yes—
1431C23C24×D1111yescharacteristic
1432Q8—228no—
1433Q8—228no—
1434D4—44no—
1435D4—228no—
1436D4—228no—
1437D4—228no—
1438D4—228no—
1439D4—228no—
1440D4—228no—
1441D4—444no—
1442D4—444no—
1443D4—444no—
1444C2×C4—28no—
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—28no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—112no—
1481C2×C4—112no—
1482C2×C4—112no—
1483C2×C4—112no—
1484C2×C4—112no—
1485C2×C4—112no—
1486C2×C4—112no—
1487C2×C4—228no—
1488C2×C4—228no—
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—228no—
1498C2×C4—228no—
1499C2×C4—221no—
1500C2×C4—221no—
1501C2×C4—221no—
1502C2×C4—221no—
1503C2×C4—221no—
1504C2×C4—221no—
1505C2×C4—221no—
1506C2×C4—221no—
1507C2×C4—221no—
1508C2×C4—221no—
1509C2×C4—221no—
1510C2×C4—221no—
1511C2×C4—221no—
1512C2×C4—221no—
1513C2×C4—221no—
1514C2×C4—221no—
1515C2×C4—221no—
1516C2×C4—221no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—444no—
1524C2×C4—444no—
1525C2×C4—444no—
1526C2×C4—444no—
1527C2×C4—444no—
1528C2×C4—444no—
1529C2×C4—444no—
1530C2×C4C2×#433912yes—
1531C2×C4C2×#433912yes—
1532C2×C4C2×D4×D1112yes—
1533C2×C4C2×D4×D1112yes—
1534C2×C4C2×D4×D1112yes—
1535C2×C4#41×D1112yes—
1536C2×C4#41×D1112yes—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—222no—
1552C22—222no—
1553C22—222no—
1554C22—222no—
1555C22—222no—
1556C22—222no—
1557C22—222no—
1558C22—222no—
1559C22—222no—
1560C22—441no—
1561C22—441no—
1562C22—441no—
1563C22—441no—
1564C22—441no—
1565C22—441no—
1566C22—441no—
1567C22—441no—
1568C22—441no—
1569C22—441no—
1570C22—441no—
1571C22—441no—
1572C22C22×#433911yescharacteristic
1573C22C22×D4×D1111yescharacteristic
1574C22C2×#41×D1111yescharacteristic
1575C22C2×#41×D1111yescharacteristic
1576C22C2×#41×D1111yescharacteristic
1577C22#1062345311yescharacteristic
1578C22#1062345311yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—114no—
1592C4—222no—
1593C4—222no—
1594C4—222no—
1595C4—222no—
1596C4—441no—
1597C4—441no—
1598C4—441no—
1599C4—441no—
1600C4—441no—
1601C4—441no—
1602C4—441no—
1603C4—441no—
1604C4#1062307814yes—
1605C2—42no—
1606C2—42no—
1607C2—442no—
1608C2—442no—
1609C2—442no—
1610C2D11×#52511yescharacteristic
1611C2C2×#1062307811yescharacteristic
1612C2#1308194611yescharacteristic
1613C2#1308216811yescharacteristic
1614C2#1308217011yescharacteristic
1615C2#1308220711yescharacteristic
1616C2#1308220911yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2290C2
hypercenter#2290D11
hypocenterC11#34909
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2290

Complements

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

NH ≅ G/Ntype
1. C2×C4×#4339C2semidirect
2. C2×#10623053C2semidirect
3. #13074205C2semidirect
4. #13074202C2semidirect
5. #13074201C2semidirect
6. #13074200C2semidirect
7. #13074191C2semidirect
8. #13074189C2semidirect
9. #13074180C2semidirect
10. #13074178C2semidirect
11. #13073981C2semidirect
12. #13073973C2semidirect
13. #13073524C2semidirect
14. #13073516C2semidirect
15. #13072912C2semidirect
16. #13072910C2semidirect
17. #13071960C2semidirect
18. #13071958C2semidirect
19. #13071879C2semidirect
20. #13071877C2semidirect
21. #13071832C2semidirect
22. #13071831C2semidirect
23. C4×#66949C2semidirect
24. C4×#66931C2semidirect
25. C4×#66937C2semidirect
26. C4×#66992C2semidirect
27. #13071060C2semidirect
28. #13071059C2semidirect
29. #13071053C2semidirect
30. #13071008C2semidirect
31. C11×#2290C2semidirect
342. C42×D11D4semidirect
405. C22×C4×C11#41semidirect
436. C2×C22⋊D11#41semidirect
493. C2×C4×D11#41semidirect
499. C2×Dic22#41semidirect
617. #2290D11semidirect
1293. C22×C4#4339semidirect
1395. C11#34909semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#43392
C2×#106230532
#130742052
#130742022
#130742012
#130742002
#130741912
#130741892
#130741802
#130741782
#130739812
#130739732
#130735242
#130735162
#130729122
#130729102
#130719602
#130719582
#130718792
#130718772
#130718322
#130718312
C4×#669492
C4×#669312
C4×#669372
C4×#669922
#130710602
#130710592
#130710532
#130710082
C11×#22902
#3490911