Finite Group Databasebeta

← #14926044

Subgroups — #14926044

Order 2816.

2698 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623069C211yesmaximal, characteristic, complemented
2C2×C4×#4341C211yesmaximal, characteristic, complemented
3#13074220C211yesmaximal, characteristic, complemented
4#13074218C211yesmaximal, characteristic, complemented
5#13074212C211yesmaximal, characteristic, complemented
6#13074210C211yesmaximal, characteristic, complemented
7#13074102C211yesmaximal, characteristic, complemented
8#13074002C211yesmaximal, characteristic, complemented
9#13073780C211yesmaximal, characteristic, complemented
10#13073553C211yesmaximal, characteristic, complemented
11#13073058C211yesmaximal, characteristic, complemented
12#13073056C211yesmaximal, characteristic, complemented
13#13072224C211yesmaximal, characteristic, complemented
14#13072222C211yesmaximal, characteristic, complemented
15#13072066C211yesmaximal, characteristic, complemented
16#13072064C211yesmaximal, characteristic, complemented
17#13072055C211yesmaximal, characteristic, complemented
18#13072053C211yesmaximal, characteristic, complemented
19#13071892C211yesmaximal, characteristic, complemented
20#13071890C211yesmaximal, characteristic, complemented
21#13071860C211yesmaximal, characteristic, complemented
22#13071858C211yesmaximal, characteristic, complemented
23C4×#66949C211yesmaximal, characteristic, complemented
24C4×#66931C211yesmaximal, characteristic, complemented
25C4×#66983C211yesmaximal, characteristic, complemented
26C4×#66937C211yesmaximal, characteristic, complemented
27C4×#66992C211yesmaximal, characteristic, complemented
28C4×#66992C211yesmaximal, characteristic, complemented
29C4×#66992C211yesmaximal, characteristic, complemented
30C2×C4×Dic11⋊C4C211yesmaximal, characteristic, complemented
31C4×C11×#121C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C2×C11×#121C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic
37C22×C42×C11C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×#66992C2211yescharacteristic
41C2×#66992C2211yescharacteristic
42C2×#66988C2211yescharacteristic
43C2×D4×Dic11C2211yescharacteristic
44C2×#66983C2211yescharacteristic
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C2×C4×C22⋊D11C2211yescharacteristic
49C2×C4×C22⋊D11C2211yescharacteristic
50C2×C4×C22⋊D11C2211yescharacteristic
51C2×#66979C2211yescharacteristic
52C22×Dic11⋊C4C2211yescharacteristic
53C22×Dic11⋊C4C2211yescharacteristic
54C22×C4×Dic11C2211yescharacteristic
55C22×C4×Dic11C2211yescharacteristic
56C22×C4×Dic11C2211yescharacteristic
57#10623069—28no—
58C4×#4341—28no—
59C2×#66951C2211yescharacteristic
60C2×#66949C2211yescharacteristic
61C2×#66945C2211yescharacteristic
62C2×#66942C2211yescharacteristic
63C2×#66940C2211yescharacteristic
64C2×#66939C2211yescharacteristic
65C2×#66938C2211yescharacteristic
66C2×#66937C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×#66932C2211yescharacteristic
70C2×#66931C2211yescharacteristic
71C2×#66931C2211yescharacteristic
72C2×#66930C2211yescharacteristic
73C2×#66930C2211yescharacteristic
74C2×C4×D44C2211yescharacteristic
75C2×#66925C2211yescharacteristic
76C2×C42×D11C2211yescharacteristic
77C2×C4×Dic22C2211yescharacteristic
78C2×C4×Dic22C2211yescharacteristic
79C11×#390C2211yescharacteristic
80C11×#389C2211yescharacteristic
81C11×#388C2211yescharacteristic
82C11×#388C2211yescharacteristic
83C11×#386C2211yescharacteristic
84C11×#386C2211yescharacteristic
85C11×#380C2211yescharacteristic
86C4×C11×C4⋊C4C2211yescharacteristic
87C4×C11×C22⋊C4C2211yescharacteristic
88C4×C11×C22⋊C4C2211yescharacteristic
89#10622836C2211yescharacteristic
90#10622835C2211yescharacteristic
91#10622833C2211yescharacteristic
92#10622833C2211yescharacteristic
93#10622833C2211yescharacteristic
94#10622826C2211yescharacteristic
95#10622826C2211yescharacteristic
96#10622825C2211yescharacteristic
97C4×C22⋊Dic11C2211yescharacteristic
98C4×C22⋊Dic11C2211yescharacteristic
99C2×C11⋊#95C2211yescharacteristic
100C2×C11⋊#95C2211yescharacteristic
101#10622607C2211yescharacteristic
102#10622607C2211yescharacteristic
103#10622605C2211yescharacteristic
104#10622603C2211yescharacteristic
105#10622603C2211yescharacteristic
106#10622603C2211yescharacteristic
107#10622602C2211yescharacteristic
108#10622597C2211yescharacteristic
109#10622594C2211yescharacteristic
110#10622593C2211yescharacteristic
111#10622592C2211yescharacteristic
112#10622585C2211yescharacteristic
113#10622585C2211yescharacteristic
114#10622585C2211yescharacteristic
115#10622585C2211yescharacteristic
116#10622574C2211yescharacteristic
117#10622573C2211yescharacteristic
118#10622572C2211yescharacteristic
119#10622572C2211yescharacteristic
120#10622572C2211yescharacteristic
121#10622571C2211yescharacteristic
122#10622571C2211yescharacteristic
123#10622571C2211yescharacteristic
124#10622570C2211yescharacteristic
125#10622570C2211yescharacteristic
126#10622570C2211yescharacteristic
127#10622570C2211yescharacteristic
128#10622569C2211yescharacteristic
129#10622565C2211yescharacteristic
130#10622564C2211yescharacteristic
131#10622563C2211yescharacteristic
132#10622562C2211yescharacteristic
133#10622561C2211yescharacteristic
134#10622561C2211yescharacteristic
135#10622561C2211yescharacteristic
136#10622561C2211yescharacteristic
137#10622560C2211yescharacteristic
138#10622559C2211yescharacteristic
139#10622558C2211yescharacteristic
140#10622558C2211yescharacteristic
141#10622558C2211yescharacteristic
142#10622555C2211yescharacteristic
143#10622555C2211yescharacteristic
144#10622555C2211yescharacteristic
145#10622555C2211yescharacteristic
146#10622553C2211yescharacteristic
147#10622553C2211yescharacteristic
148#10622552C2211yescharacteristic
149C4×(C2×D11)⋊C4C2211yescharacteristic
150C4×(C2×D11)⋊C4C2211yescharacteristic
151C4×(C2×D11)⋊C4C2211yescharacteristic
152C4×(C2×D11)⋊C4C2211yescharacteristic
153C4×C4⋊Dic11C2211yescharacteristic
154C4×Dic11⋊C4C2211yescharacteristic
155C4×Dic11⋊C4C2211yescharacteristic
156C4×Dic11⋊C4C2211yescharacteristic
157C4×Dic11⋊C4C2211yescharacteristic
158C4×Dic11⋊C4C2211yescharacteristic
159C4×Dic11⋊C4C2211yescharacteristic
160C4×Dic11⋊C4C2211yescharacteristic
161C4×Dic11⋊C4C2211yescharacteristic
162C4×Dic11⋊C4C2211yescharacteristic
163C4×Dic11⋊C4C2211yescharacteristic
164#10622541C2211yescharacteristic
165#10622289C2211yescharacteristic
166#10622289C2211yescharacteristic
167#10622288C2211yescharacteristic
168#10622286C2211yescharacteristic
169#10622285C2211yescharacteristic
170#10622282C2211yescharacteristic
171#10622281C2211yescharacteristic
172#10622280C2211yescharacteristic
173#10622280C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622274C2211yescharacteristic
176#10622273C2211yescharacteristic
177#10622271C2211yescharacteristic
178#10622270C2211yescharacteristic
179#10622270C2211yescharacteristic
180#10622270C2211yescharacteristic
181#10622269C2211yescharacteristic
182#10622268C2211yescharacteristic
183#10622267C2211yescharacteristic
184#10622265C2211yescharacteristic
185#10622260C2211yescharacteristic
186#10622260C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C23×C4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C23×Dic11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C23×Dic11C2311yescharacteristic
209C2×#4341—24no—
210C2×#4341—24no—
211C2×#4341—24no—
212C22×D44C2311yescharacteristic
213C22×C4×D11C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×Dic22C2311yescharacteristic
218C22×Dic22C2311yescharacteristic
219C11×#121—24no—
220C4×D4×C11—24no—
221C4×D4×C11—24no—
222C4×D4×C11—42no—
223C2×C11×C4⋊C4C2311yescharacteristic
224C2×C11×C4⋊C4C2311yescharacteristic
225C2×C11×C4⋊C4C2311yescharacteristic
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊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×C11—42no—
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
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257#66992—24no—
258#66992—24no—
259#66992—24no—
260#66992—24no—
261#66988—24no—
262D4×Dic11—24no—
263#66983—24no—
264C4×C22⋊D11—24no—
265C4×C22⋊D11—24no—
266C4×C22⋊D11—24no—
267C4×C22⋊D11—24no—
268C4×C22⋊D11—42no—
269C4×C22⋊D11—42no—
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
284C2×(C2×D11)⋊C4C2311yescharacteristic
285C2×(C2×D11)⋊C4C2311yescharacteristic
286C2×(C2×D11)⋊C4C2311yescharacteristic
287C2×(C2×D11)⋊C4C2311yescharacteristic
288#66979—24no—
289C2×C4⋊Dic11C2311yescharacteristic
290C2×C4⋊Dic11C2311yescharacteristic
291C2×C4⋊Dic11C2311yescharacteristic
292C2×C4⋊Dic11C2311yescharacteristic
293C2×C4⋊Dic11C2311yescharacteristic
294C2×C4⋊Dic11C2311yescharacteristic
295C2×C4⋊Dic11C2311yescharacteristic
296C2×Dic11⋊C4—24no—
297C2×Dic11⋊C4—24no—
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×Dic11⋊C4C2311yescharacteristic
309C2×Dic11⋊C4C2311yescharacteristic
310C2×Dic11⋊C4C2311yescharacteristic
311C2×Dic11⋊C4C2311yescharacteristic
312C2×Dic11⋊C4C2311yescharacteristic
313C2×Dic11⋊C4C2311yescharacteristic
314C2×Dic11⋊C4C2311yescharacteristic
315C2×Dic11⋊C4C2311yescharacteristic
316C2×Dic11⋊C4C2311yescharacteristic
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×C4×Dic11—24no—
323C2×C4×Dic11—42no—
324C2×C4×Dic11D418yescomplemented
325C2×C4×Dic11C2311yescharacteristic
326C2×C4×Dic11C2311yescharacteristic
327C2×C4×Dic11C2311yescharacteristic
328C2×C4×Dic11C2311yescharacteristic
329C2×C4×Dic11C2311yescharacteristic
330C2×C4×Dic11C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334C2×C4×Dic11C2311yescharacteristic
335C2×C4×Dic11C2311yescharacteristic
336C2×C4×Dic11C2311yescharacteristic
337C2×C4×Dic11C2311yescharacteristic
338C2×C4×Dic11C2311yescharacteristic
339#66951—24no—
340#66949—24no—
341#66945—24no—
342#66942—24no—
343#66940—24no—
344#66939—24no—
345#66938—24no—
346#66937—24no—
347(C22⋊D11)⋊C4—24no—
348(C22⋊D11)⋊C4—24no—
349#66932—24no—
350#66931—24no—
351#66931—24no—
352#66930—24no—
353#66930—24no—
354C4×D44—42no—
355#66925—24no—
356C42×D11—24no—
357C4×Dic22—24no—
358C4×Dic22—24no—
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#34964—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C2×D4×C11—22no—
398C2×D4×C11—22no—
399C2×D4×C11—22no—
400C2×D4×C11—22no—
401C2×D4×C11—22no—
402C2×D4×C11—22no—
403C2×D4×C11—22no—
404C2×D4×C11—41no—
405C2×D4×C11#4114yes—
406C22×C4×C11—22no—
407C22×C4×C11—22no—
408C22×C4×C11—22no—
409C22×C4×C11—22no—
410C22×C4×C11—22no—
411C22×C4×C11—22no—
412C22×C4×C11—22no—
413C22×C4×C11—22no—
414C22×C4×C11—22no—
415C22×C4×C11—22no—
416C22×C4×C11—22no—
417C22×C4×C11—22no—
418C22×C4×C11—41no—
419C22×C4×C11—41no—
420C22×C4×C11C2×D414yes—
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C2×C22⋊D11—22no—
434C2×C22⋊D11—22no—
435C2×C22⋊D11—22no—
436C2×C22⋊D11—22no—
437C2×C22⋊D11—22no—
438C2×C22⋊D11—22no—
439C2×C22⋊D11—22no—
440C2×C22⋊D11—22no—
441C2×C22⋊D11—22no—
442C2×C22⋊D11—22no—
443C2×C22⋊D11—22no—
444C2×C22⋊D11—22no—
445C2×C22⋊D11—22no—
446C2×C22⋊D11—22no—
447C2×C22⋊D11—22no—
448C2×C22⋊D11—41no—
449C2×C22⋊D11—41no—
450C2×C22⋊D11#4114yes—
451C22×Dic11—22no—
452C22×Dic11—22no—
453C22×Dic11—22no—
454C22×Dic11—22no—
455C22×Dic11—22no—
456C22×Dic11—22no—
457C22×Dic11—22no—
458C22×Dic11—22no—
459C22×Dic11—22no—
460C22×Dic11—22no—
461C22×Dic11—22no—
462C22×Dic11—22no—
463C22×Dic11—22no—
464C22×Dic11—22no—
465C22×Dic11—41no—
466C22×Dic11—41no—
467C22×Dic11C2×D414yes—
468C22×Dic11C2×D414yes—
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483#4341—232no—
484C2×D44—22no—
485C2×D44—22no—
486C2×D44—41no—
487C2×C4×D11—22no—
488C2×C4×D11—22no—
489C2×C4×D11—22no—
490C2×C4×D11—22no—
491C2×C4×D11—22no—
492C2×C4×D11—22no—
493C2×C4×D11—22no—
494C2×C4×D11—22no—
495C2×C4×D11—22no—
496C2×C4×D11—22no—
497C2×C4×D11—22no—
498C2×C4×D11—22no—
499C2×Dic22—22no—
500C2×Dic22—22no—
501C2×Dic22—22no—
502C2×Dic22—22no—
503C2×Dic22—22no—
504C2×Dic22—22no—
505C11×C4⋊C4—22no—
506C11×C4⋊C4—22no—
507C11×C4⋊C4—22no—
508C11×C4⋊C4—22no—
509C11×C4⋊C4—41no—
510C11×C22⋊C4—22no—
511C11×C22⋊C4—22no—
512C11×C22⋊C4—22no—
513C11×C22⋊C4—22no—
514C11×C22⋊C4—22no—
515C11×C22⋊C4—22no—
516C11×C22⋊C4—22no—
517C11×C22⋊C4—22no—
518C11×C22⋊C4—41no—
519C11×C22⋊C4—41no—
520C42×C11—22no—
521C42×C11—22no—
522C42×C11—22no—
523C42×C11—22no—
524C42×C11—41no—
525C42×C11—41no—
526C22⋊Dic11—22no—
527C22⋊Dic11—22no—
528C22⋊Dic11—22no—
529C22⋊Dic11—22no—
530C22⋊Dic11—22no—
531C22⋊Dic11—22no—
532C22⋊Dic11—22no—
533C22⋊Dic11—22no—
534C22⋊Dic11—22no—
535C22⋊Dic11—22no—
536C22⋊Dic11—41no—
537C22⋊Dic11—41no—
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—22no—
545(C2×D11)⋊C4—22no—
546(C2×D11)⋊C4—22no—
547(C2×D11)⋊C4—22no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—41no—
553(C2×D11)⋊C4—41no—
554(C2×D11)⋊C4—41no—
555(C2×D11)⋊C4—41no—
556C4⋊Dic11—22no—
557C4⋊Dic11—22no—
558C4⋊Dic11—22no—
559C4⋊Dic11—22no—
560C4⋊Dic11—22no—
561C4⋊Dic11—22no—
562C4⋊Dic11—41no—
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—22no—
574Dic11⋊C4—22no—
575Dic11⋊C4—22no—
576Dic11⋊C4—22no—
577Dic11⋊C4—22no—
578Dic11⋊C4—22no—
579Dic11⋊C4—22no—
580Dic11⋊C4—22no—
581Dic11⋊C4—22no—
582Dic11⋊C4—22no—
583Dic11⋊C4—41no—
584Dic11⋊C4—41no—
585Dic11⋊C4#4114yescomplemented
586Dic11⋊C4#4114yescomplemented
587C4×Dic11—22no—
588C4×Dic11—22no—
589C4×Dic11—22no—
590C4×Dic11—22no—
591C4×Dic11—22no—
592C4×Dic11—22no—
593C4×Dic11—22no—
594C4×Dic11—22no—
595C4×Dic11—41no—
596C4×Dic11—41no—
597C4×Dic11C2×D414yes—
598C4×Dic11C2×D414yes—
599C4×Dic11C2×D414yes—
600C4×Dic11C2×D414yes—
601C2×#529—111no—
602C2×C4×#41—111no—
603#2601—111no—
604#2601—111no—
605#2601—111no—
606#2601—111no—
607#2592—111no—
608#2584—111no—
609#2562—111no—
610#2540—111no—
611#2498—111no—
612#2498—111no—
613#2430—111no—
614#2430—111no—
615#2417—111no—
616#2417—111no—
617#2416—111no—
618#2416—111no—
619#2396—111no—
620#2396—111no—
621#2392—111no—
622#2392—111no—
623C4×C22⋊Q8—111no—
624C4×C22⋊Q8—111no—
625C4×#121—111no—
626C4×#121—111no—
627C4×#121—111no—
628C4×#121—111no—
629C4×#121—111no—
630C4×#121D1111yescharacteristic, complemented
631C2×C4×C4⋊C4—111no—
632C23×C11—21no—
633C23×C11—21no—
634C23×C11—21no—
635C23×C11—21no—
636C23×C11—21no—
637C23×C11—21no—
638C23×C11—21no—
639C23×C11—21no—
640C23×C11—21no—
641C23×C11—21no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
649C23×C11C22×D412yes—
650C23×C11C2×#4112yes—
651C23×C11C2×#4112yes—
652C23×C11C2×#4112yes—
653C23×C11C2511yescharacteristic
654C22×D11—21no—
655C22×D11—21no—
656C22×D11—21no—
657C22×D11—21no—
658C22×D11—21no—
659C22×D11—21no—
660C22×D11—21no—
661C22×D11—21no—
662C22×D11—21no—
663C22×D11—21no—
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11C2×#4112yes—
668D4×C11—28no—
669D4×C11—44no—
670D4×C11—44no—
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—28no—
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—21no—
691C2×C4×C11—21no—
692C2×C4×C11—21no—
693C2×C4×C11—21no—
694C2×C4×C11—21no—
695C2×C4×C11—21no—
696C2×C4×C11—21no—
697C2×C4×C11—21no—
698C2×C4×C11—21no—
699C2×C4×C11—21no—
700C2×C4×C11—21no—
701C2×C4×C11—44no—
702C2×C4×C11—44no—
703C2×C4×C11—44no—
704C2×C4×C11—44no—
705C2×C4×C11C22×D412yes—
706C2×C4×C11C22×D412yes—
707C2×C4×C11C2×#4112yes—
708C2×C4×C11C2×#4112yes—
709C2×C4×C11C2×#4112yes—
710C2×C4×C11H(5,𝔽2)12yes—
711C2×C4×C112−1+412yes—
712C22⋊D11—28no—
713C22⋊D11—28no—
714C22⋊D11—44no—
715C22⋊D11—44no—
716C22⋊D11—44no—
717C22⋊D11—44no—
718C2×Dic11—28no—
719C2×Dic11—28no—
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—28no—
733C2×Dic11—21no—
734C2×Dic11—21no—
735C2×Dic11—21no—
736C2×Dic11—21no—
737C2×Dic11—21no—
738C2×Dic11—21no—
739C2×Dic11—21no—
740C2×Dic11—21no—
741C2×Dic11—21no—
742C2×Dic11—21no—
743C2×Dic11—21no—
744C2×Dic11—21no—
745C2×Dic11—21no—
746C2×Dic11—21no—
747C2×Dic11—21no—
748C2×Dic11—21no—
749C2×Dic11—21no—
750C2×Dic11—21no—
751C2×Dic11—21no—
752C2×Dic11—21no—
753C2×Dic11—21no—
754C2×Dic11—44no—
755C2×Dic11—44no—
756C2×Dic11—44no—
757C2×Dic11C22×D412yes—
758C2×Dic11C22×D412yes—
759C2×Dic11C22×D412yes—
760C2×Dic11C22×D412yes—
761C2×Dic11C2×#4112yes—
762C2×Dic11C2×#4112yes—
763C2×Dic11C2×#4112yes—
764C2×Dic11C2×#4112yes—
765C2×Dic11C2×#4112yes—
766D44—44no—
767C4×D11—28no—
768C4×D11—44no—
769C4×D11—44no—
770C4×D11—44no—
771Dic22—28no—
772Dic22—44no—
773C22×#41—111no—
774#529—228no—
775C2×#126—111no—
776C2×#126—111no—
777C2×#125—111no—
778C2×#124—111no—
779C2×#123—111no—
780C2×#123—111no—
781C2×C22⋊Q8—111no—
782C2×C22⋊Q8—111no—
783C2×C22⋊Q8—111no—
784C2×#121—111no—
785C2×#121—111no—
786C2×#121—111no—
787C2×#121—111no—
788C2×#121—111no—
789C2×#121—111no—
790C2×#121C2×D1111yescharacteristic
791C4×#41—228no—
792C2×C4×Q8—111no—
793C2×C4×Q8—111no—
794C2×C4×Q8—111no—
795C2×C4×D4—111no—
796C2×C4×D4—111no—
797C2×C4×D4—111no—
798C2×C4×D4—111no—
799C2×C4×D4—111no—
800C2×C4×D4—111no—
801C2×C4×D4—111no—
802C2×C4×D4—111no—
803C2×C4×D4—111no—
804C2×C4×D4—111no—
805C2×C4×D4C2×D1111yescharacteristic
806C2×C4×D4C2×D1111yescharacteristic
807C2×C4×D4C2×D1111yescharacteristic
808C2×#117—111no—
809C2×#117—111no—
810C2×#117—111no—
811C2×#117—111no—
812C2×#117—111no—
813C22×C4⋊C4—111no—
814C22×C4⋊C4—111no—
815C22×C42—111no—
816C22×C42—111no—
817C22×C42—111no—
818C22×C42—111no—
819C22×C42C2×D1111yescharacteristic
820#400—111no—
821#400—111no—
822#399—111no—
823#399—111no—
824#398—111no—
825#398—111no—
826#398—111no—
827#398—111no—
828#398—111no—
829#398—111no—
830#397—111no—
831#397—111no—
832#396—111no—
833#396—111no—
834#396—111no—
835#396—111no—
836#396—111no—
837#396—111no—
838#396—111no—
839#396—111no—
840#395—111no—
841#395—111no—
842#394—111no—
843#394—111no—
844#394—111no—
845#394—111no—
846#394—111no—
847#394—111no—
848#393—111no—
849#393—111no—
850#392—111no—
851#392—111no—
852#391—111no—
853#391—111no—
854#390—111no—
855#390—111no—
856#390—111no—
857#390—111no—
858#390—111no—
859#390C2×D1111yescharacteristic
860#389—111no—
861#389—111no—
862#389—111no—
863#389—111no—
864#389—111no—
865#389—111no—
866#389—111no—
867#389C2×D1111yescharacteristic
868#388—111no—
869#388—111no—
870#388—111no—
871#388—111no—
872#388—111no—
873#388—111no—
874#388—111no—
875#388—111no—
876#388—111no—
877#388—111no—
878#388C2×D1111yescharacteristic
879#388C2×D1111yescharacteristic
880#387—111no—
881#387—111no—
882#387—111no—
883#387—111no—
884#386—111no—
885#386—111no—
886#386—111no—
887#386—111no—
888#386—111no—
889#386—111no—
890#386—111no—
891#386—111no—
892#386—111no—
893#386—111no—
894#386C2×D1111yescharacteristic
895#386C2×D1111yescharacteristic
896#385—111no—
897#385—111no—
898#385—111no—
899#385—111no—
900#380—111no—
901#380—111no—
902#380—111no—
903#380—111no—
904#380—111no—
905#380—111no—
906#380—111no—
907#380C2×D1111yescharacteristic
908C4×C4⋊C4—111no—
909C4×C4⋊C4—111no—
910C4×C4⋊C4—111no—
911C4×C4⋊C4—111no—
912C4×C4⋊C4—111no—
913C4×C4⋊C4—111no—
914C4×C4⋊C4—111no—
915C4×C4⋊C4—111no—
916C4×C4⋊C4—111no—
917C4×C4⋊C4—111no—
918C4×C4⋊C4—111no—
919C4×C4⋊C4C2×D1111yescharacteristic
920C4×C22⋊C4—111no—
921C4×C22⋊C4—111no—
922C4×C22⋊C4—111no—
923C4×C22⋊C4—111no—
924C4×C22⋊C4—111no—
925C4×C22⋊C4—111no—
926C4×C22⋊C4C2×D1111yescharacteristic
927C4×C22⋊C4C2×D1111yescharacteristic
928C2×#95—111no—
929C2×#95—111no—
930C22×C11—22no—
931C22×C11—22no—
932C22×C11—22no—
933C22×C11—22no—
934C22×C11—22no—
935C22×C11—22no—
936C22×C11—22no—
937C22×C11—22no—
938C22×C11—22no—
939C22×C11—41no—
940C22×C11—41no—
941C22×C11—41no—
942C22×C11—41no—
943C22×C11—41no—
944C22×C11—41no—
945C22×C11—41no—
946C22×C11—41no—
947C22×C11—41no—
948C22×C11—41no—
949C22×C11—41no—
950C22×C11#52514yes—
951C22×C11C23×D411yescharacteristic
952C22×C11C22×#4111yescharacteristic
953C22×C11C22×#4111yescharacteristic
954C22×C11C22×#4111yescharacteristic
955C22×C11C22×#4111yescharacteristic
956C22×C11C2×H(5,𝔽2)11yescharacteristic
957C22×C11C2×2−1+411yescharacteristic
958C2×D11—22no—
959C2×D11—22no—
960C2×D11—22no—
961C2×D11—41no—
962C2×D11—41no—
963C2×D11—41no—
964C2×D11—41no—
965C2×D11—41no—
966C2×D11—41no—
967C2×D11—41no—
968C2×D11—41no—
969C2×D11—41no—
970C2×D11—41no—
971C2×D11—41no—
972C4×C11—22no—
973C4×C11—22no—
974C4×C11—22no—
975C4×C11—22no—
976C4×C11—41no—
977C4×C11—41no—
978C4×C11—41no—
979C4×C11—41no—
980C4×C11—41no—
981C4×C11—41no—
982C4×C11—41no—
983C4×C11#53714yes—
984Dic11—22no—
985Dic11—22no—
986Dic11—22no—
987Dic11—22no—
988Dic11—22no—
989Dic11—22no—
990Dic11—41no—
991Dic11—41no—
992Dic11—41no—
993Dic11—41no—
994Dic11—41no—
995Dic11—41no—
996Dic11—41no—
997Dic11#53214yes—
998C2×#41—224no—
999C2×#41—224no—
1000C2×#41—224no—
1001C22×Q8—111no—
1002C22×Q8—111no—
1003C22×D4—111no—
1004C22×D4—111no—
1005C22×D4—111no—
1006C22×D4—111no—
1007C22×D4—111no—
1008C22×D4—111no—
1009C22×D4—111no—
1010C22×D4C22×D1111yescharacteristic
1011C22×D4C22×D1111yescharacteristic
1012C22×D4C22×D1111yescharacteristic
1013C23×C4—111no—
1014C23×C4—111no—
1015C23×C4—111no—
1016C23×C4—111no—
1017C23×C4—111no—
1018C23×C4—111no—
1019C23×C4—111no—
1020C23×C4—111no—
1021C23×C4—111no—
1022C23×C4—111no—
1023C23×C4C22×D1111yescharacteristic
1024C23×C4C22×D1111yescharacteristic
1025C23×C4C22×D1111yescharacteristic
1026C23×C4C22×D1111yescharacteristic
1027C23×C4C22×D1111yescharacteristic
1028#126—224no—
1029#126—224no—
1030#125—224no—
1031#124—224no—
1032#123—224no—
1033#123—224no—
1034C22⋊Q8—224no—
1035C22⋊Q8—224no—
1036C22⋊Q8—224no—
1037#121—24no—
1038#121—224no—
1039#121—224no—
1040#121—224no—
1041#121—224no—
1042#121—224no—
1043#121—224no—
1044C4×Q8—224no—
1045C4×Q8—224no—
1046C4×Q8—224no—
1047C4×D4—24no—
1048C4×D4—24no—
1049C4×D4—42no—
1050C4×D4—224no—
1051C4×D4—224no—
1052C4×D4—224no—
1053C4×D4—224no—
1054C4×D4—224no—
1055C4×D4—224no—
1056C4×D4—224no—
1057C4×D4—442no—
1058C4×D4—442no—
1059C4×D4—442no—
1060#117—224no—
1061#117—224no—
1062#117—224no—
1063#117—224no—
1064#117—224no—
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⋊C4—111no—
1072C2×C4⋊C4—111no—
1073C2×C4⋊C4—111no—
1074C2×C4⋊C4—111no—
1075C2×C4⋊C4—111no—
1076C2×C4⋊C4—111no—
1077C2×C4⋊C4—111no—
1078C2×C4⋊C4—111no—
1079C2×C4⋊C4—111no—
1080C2×C4⋊C4—111no—
1081C2×C4⋊C4—111no—
1082C2×C4⋊C4—111no—
1083C2×C4⋊C4—111no—
1084C2×C4⋊C4—111no—
1085C2×C4⋊C4—111no—
1086C2×C4⋊C4—111no—
1087C2×C4⋊C4—111no—
1088C2×C4⋊C4—111no—
1089C2×C4⋊C4—111no—
1090C2×C4⋊C4—111no—
1091C2×C4⋊C4—111no—
1092C2×C4⋊C4—111no—
1093C2×C4⋊C4—111no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—224no—
1097C2×C4⋊C4—224no—
1098C2×C4⋊C4C22×D1111yescharacteristic
1099C2×C4⋊C4C22×D1111yescharacteristic
1100C2×C4⋊C4C22×D1111yescharacteristic
1101C2×C4⋊C4C22×D1111yescharacteristic
1102C2×C4⋊C4C22×D1111yescharacteristic
1103C2×C22⋊C4—111no—
1104C2×C22⋊C4—111no—
1105C2×C22⋊C4—111no—
1106C2×C22⋊C4—111no—
1107C2×C22⋊C4—111no—
1108C2×C22⋊C4—111no—
1109C2×C22⋊C4—111no—
1110C2×C22⋊C4—111no—
1111C2×C22⋊C4—111no—
1112C2×C22⋊C4—111no—
1113C2×C22⋊C4—111no—
1114C2×C22⋊C4—111no—
1115C2×C22⋊C4—111no—
1116C2×C22⋊C4—111no—
1117C2×C22⋊C4—111no—
1118C2×C22⋊C4—111no—
1119C2×C22⋊C4—111no—
1120C2×C22⋊C4—111no—
1121C2×C22⋊C4—111no—
1122C2×C22⋊C4—111no—
1123C2×C22⋊C4—111no—
1124C2×C22⋊C4—111no—
1125C2×C22⋊C4—111no—
1126C2×C22⋊C4—111no—
1127C2×C22⋊C4—111no—
1128C2×C22⋊C4—111no—
1129C2×C22⋊C4—111no—
1130C2×C22⋊C4—111no—
1131C2×C22⋊C4—111no—
1132C2×C22⋊C4—111no—
1133C2×C22⋊C4C22×D1111yescharacteristic
1134C2×C22⋊C4C22×D1111yescharacteristic
1135C2×C22⋊C4C22×D1111yescharacteristic
1136C2×C22⋊C4C22×D1111yescharacteristic
1137C2×C22⋊C4C22×D1111yescharacteristic
1138C2×C22⋊C4C22×D1111yescharacteristic
1139C2×C22⋊C4C22×D1111yescharacteristic
1140C2×C22⋊C4C22×D1111yescharacteristic
1141C2×C22⋊C4C22×D1111yescharacteristic
1142C2×C22⋊C4C22×D1111yescharacteristic
1143C2×C42—42no—
1144C2×C42—118no—
1145C2×C42—111no—
1146C2×C42—111no—
1147C2×C42—111no—
1148C2×C42—111no—
1149C2×C42—111no—
1150C2×C42—111no—
1151C2×C42—111no—
1152C2×C42—111no—
1153C2×C42—111no—
1154C2×C42—111no—
1155C2×C42—111no—
1156C2×C42—111no—
1157C2×C42—111no—
1158C2×C42—111no—
1159C2×C42—224no—
1160C2×C42—224no—
1161C2×C42—442no—
1162C2×C42C22×D1111yescharacteristic
1163C2×C42C22×D1111yescharacteristic
1164C2×C42C22×D1111yescharacteristic
1165C2×C42C22×D1111yescharacteristic
1166C2×C42C22×D1111yescharacteristic
1167C2×C42C22×D1111yescharacteristic
1168#95—111no—
1169#95—111no—
1170#95—111no—
1171#95—111no—
1172#95—111no—
1173#95—111no—
1174#95—111no—
1175#95—111no—
1176#95—111no—
1177#95—111no—
1178#95—111no—
1179#95—111no—
1180#95—111no—
1181#95—111no—
1182#95—111no—
1183#95—111no—
1184#95—111no—
1185#95—111no—
1186#95—111no—
1187#95—111no—
1188#95—111no—
1189#95—111no—
1190#95—111no—
1191#95—111no—
1192#95—111no—
1193#95—111no—
1194#95C22×D1111yescharacteristic
1195#95C22×D1111yescharacteristic
1196#95C22×D1111yescharacteristic
1197#95C22×D1111yescharacteristic
1198#95C22×D1111yescharacteristic
1199#95C22×D1111yescharacteristic
1200C2×C11—24no—
1201C2×C11—42no—
1202C2×C11—81no—
1203C2×C11C2×#52511yescharacteristic
1204C2×C11C2×#53211yescharacteristic
1205C2×C11C2×#53711yescharacteristic
1206C2×C11#348111yescharacteristic
1207C2×C11#348111yescharacteristic
1208C2×C11#348211yescharacteristic
1209C2×C11#348211yescharacteristic
1210D11—42no—
1211D11—81no—
1212C24—111no—
1213C24—111no—
1214C24C23×D1111yescharacteristic
1215C24C23×D1111yescharacteristic
1216C24C23×D1111yescharacteristic
1217#41—2232no—
1218C2×Q8—222no—
1219C2×Q8—222no—
1220C2×Q8—222no—
1221C2×Q8—222no—
1222C2×Q8—222no—
1223C2×Q8—222no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—41no—
1232C2×D4—114no—
1233C2×D4—222no—
1234C2×D4—222no—
1235C2×D4—222no—
1236C2×D4—222no—
1237C2×D4—222no—
1238C2×D4—222no—
1239C2×D4—222no—
1240C2×D4—222no—
1241C2×D4—222no—
1242C2×D4—222no—
1243C2×D4—222no—
1244C2×D4—222no—
1245C2×D4—222no—
1246C2×D4—222no—
1247C2×D4—222no—
1248C2×D4—222no—
1249C2×D4—222no—
1250C2×D4—441no—
1251C2×D4—441no—
1252C2×D4—441no—
1253C2×D4#433914yes—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—111no—
1269C22×C4—114no—
1270C22×C4—114no—
1271C22×C4—111no—
1272C22×C4—111no—
1273C22×C4—111no—
1274C22×C4—111no—
1275C22×C4—111no—
1276C22×C4—111no—
1277C22×C4—111no—
1278C22×C4—111no—
1279C22×C4—111no—
1280C22×C4—111no—
1281C22×C4—111no—
1282C22×C4—111no—
1283C22×C4—111no—
1284C22×C4—222no—
1285C22×C4—222no—
1286C22×C4—222no—
1287C22×C4—222no—
1288C22×C4—222no—
1289C22×C4—222no—
1290C22×C4—222no—
1291C22×C4—222no—
1292C22×C4—222no—
1293C22×C4—222no—
1294C22×C4—222no—
1295C22×C4—222no—
1296C22×C4—222no—
1297C22×C4—222no—
1298C22×C4—222no—
1299C22×C4—222no—
1300C22×C4—222no—
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—441no—
1311C22×C4—441no—
1312C22×C4D4×D1114yes—
1313C22×C4C23×D1111yescharacteristic
1314C22×C4C23×D1111yescharacteristic
1315C22×C4C23×D1111yescharacteristic
1316C22×C4C23×D1111yescharacteristic
1317C22×C4C23×D1111yescharacteristic
1318C22×C4C23×D1111yescharacteristic
1319C22×C4C23×D1111yescharacteristic
1320C22×C4C23×D1111yescharacteristic
1321C22×C4C23×D1111yescharacteristic
1322C22×C4C23×D1111yescharacteristic
1323C22×C4C23×D1111yescharacteristic
1324C22×C4C23×D1111yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—41no—
1330C4⋊C4—114no—
1331C4⋊C4—114no—
1332C4⋊C4—222no—
1333C4⋊C4—222no—
1334C4⋊C4—222no—
1335C4⋊C4—222no—
1336C4⋊C4—222no—
1337C4⋊C4—222no—
1338C4⋊C4—222no—
1339C4⋊C4—222no—
1340C4⋊C4—222no—
1341C4⋊C4—222no—
1342C4⋊C4—222no—
1343C4⋊C4—222no—
1344C4⋊C4—222no—
1345C4⋊C4—222no—
1346C4⋊C4—222no—
1347C4⋊C4—222no—
1348C4⋊C4—222no—
1349C4⋊C4—222no—
1350C4⋊C4—222no—
1351C4⋊C4—222no—
1352C4⋊C4—222no—
1353C4⋊C4—222no—
1354C4⋊C4—222no—
1355C4⋊C4—222no—
1356C4⋊C4—222no—
1357C4⋊C4—222no—
1358C4⋊C4—441no—
1359C4⋊C4—441no—
1360C4⋊C4—441no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—222no—
1372C22⋊C4—222no—
1373C22⋊C4—222no—
1374C22⋊C4—222no—
1375C22⋊C4—222no—
1376C22⋊C4—222no—
1377C22⋊C4—222no—
1378C22⋊C4—222no—
1379C22⋊C4—222no—
1380C22⋊C4—222no—
1381C22⋊C4—222no—
1382C22⋊C4—222no—
1383C22⋊C4—222no—
1384C22⋊C4—222no—
1385C22⋊C4—222no—
1386C22⋊C4—222no—
1387C22⋊C4—222no—
1388C22⋊C4—222no—
1389C22⋊C4—222no—
1390C22⋊C4—222no—
1391C22⋊C4—222no—
1392C22⋊C4—222no—
1393C22⋊C4—222no—
1394C22⋊C4—222no—
1395C22⋊C4—441no—
1396C22⋊C4—441no—
1397C22⋊C4—441no—
1398C22⋊C4—441no—
1399C22⋊C4—441no—
1400C22⋊C4—441no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—41no—
1406C42—41no—
1407C42—114no—
1408C42—114no—
1409C42—114no—
1410C42—114no—
1411C42—222no—
1412C42—222no—
1413C42—222no—
1414C42—222no—
1415C42—222no—
1416C42—222no—
1417C42—222no—
1418C42—222no—
1419C42—441no—
1420C42—441no—
1421C11#3496411yescharacteristic, complemented, Sylow
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—112no—
1440C23—221no—
1441C23—221no—
1442C23—221no—
1443C23—221no—
1444C23—221no—
1445C23—221no—
1446C23—221no—
1447C23—221no—
1448C23—221no—
1449C23—221no—
1450C23—221no—
1451C23—221no—
1452C23—221no—
1453C23C2×#433912yes—
1454C23C2×#433912yes—
1455C23C2×D4×D1112yes—
1456C23#41×D1112yes—
1457C23C24×D1111yescharacteristic
1458Q8—228no—
1459Q8—444no—
1460D4—28no—
1461D4—44no—
1462D4—44no—
1463D4—228no—
1464D4—228no—
1465D4—444no—
1466D4—444no—
1467D4—444no—
1468D4—444no—
1469D4—444no—
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—28no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—112no—
1505C2×C4—112no—
1506C2×C4—112no—
1507C2×C4—112no—
1508C2×C4—112no—
1509C2×C4—112no—
1510C2×C4—112no—
1511C2×C4—112no—
1512C2×C4—112no—
1513C2×C4—228no—
1514C2×C4—228no—
1515C2×C4—228no—
1516C2×C4—228no—
1517C2×C4—221no—
1518C2×C4—221no—
1519C2×C4—221no—
1520C2×C4—221no—
1521C2×C4—221no—
1522C2×C4—221no—
1523C2×C4—221no—
1524C2×C4—221no—
1525C2×C4—221no—
1526C2×C4—221no—
1527C2×C4—221no—
1528C2×C4—221no—
1529C2×C4—221no—
1530C2×C4—221no—
1531C2×C4—221no—
1532C2×C4—221no—
1533C2×C4—221no—
1534C2×C4—221no—
1535C2×C4—221no—
1536C2×C4—221no—
1537C2×C4—221no—
1538C2×C4—221no—
1539C2×C4—221no—
1540C2×C4—221no—
1541C2×C4—221no—
1542C2×C4—221no—
1543C2×C4—221no—
1544C2×C4—221no—
1545C2×C4—221no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—444no—
1551C2×C4—444no—
1552C2×C4—444no—
1553C2×C4—444no—
1554C2×C4—444no—
1555C2×C4—444no—
1556C2×C4C2×#433912yes—
1557C2×C4C2×D4×D1112yes—
1558C2×C4C2×D4×D1112yes—
1559C2×C4#6703712yes—
1560C2×C4#41×D1112yes—
1561C2×C4#41×D1112yes—
1562C2×C4#6704312yes—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—222no—
1584C22—222no—
1585C22—222no—
1586C22—441no—
1587C22—441no—
1588C22—441no—
1589C22—441no—
1590C22—441no—
1591C22—441no—
1592C22—441no—
1593C22—441no—
1594C22—441no—
1595C22—441no—
1596C22—441no—
1597C22#1062307814yes—
1598C22C22×#433911yescharacteristic
1599C22C22×D4×D1111yescharacteristic
1600C22C2×#6703711yescharacteristic
1601C22C2×#41×D1111yescharacteristic
1602C22C2×#41×D1111yescharacteristic
1603C22C2×#41×D1111yescharacteristic
1604C22C2×#6704311yescharacteristic
1605C4—22no—
1606C4—22no—
1607C4—22no—
1608C4—22no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—114no—
1617C4—222no—
1618C4—222no—
1619C4—222no—
1620C4—222no—
1621C4—222no—
1622C4—222no—
1623C4—441no—
1624C4—441no—
1625C4—441no—
1626C4—441no—
1627C4—441no—
1628C4—441no—
1629C4—441no—
1630C4#1062312814yes—
1631C2—24no—
1632C2—42no—
1633C2—81no—
1634C2—442no—
1635C2—881no—
1636C2C2×#1062307811yescharacteristic
1637C2D11×#53211yescharacteristic
1638C2C2×#1062312811yescharacteristic
1639C2#1308221811yescharacteristic
1640C2#1308222011yescharacteristic
1641C2#1308222911yescharacteristic
1642C2#1308223111yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC4×C11×#121C2
hypercenterC4×#121D11
hypocenterC11#34964
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C2×#10623069C2semidirect
2. C2×C4×#4341C2semidirect
3. #13074220C2semidirect
4. #13074218C2semidirect
5. #13074212C2semidirect
6. #13074210C2semidirect
7. #13074102C2semidirect
8. #13074002C2semidirect
9. #13073780C2semidirect
10. #13073553C2semidirect
11. #13073058C2semidirect
12. #13073056C2semidirect
13. #13072224C2semidirect
14. #13072222C2semidirect
15. #13072066C2semidirect
16. #13072064C2semidirect
17. #13072055C2semidirect
18. #13072053C2semidirect
19. #13071892C2semidirect
20. #13071890C2semidirect
21. #13071860C2semidirect
22. #13071858C2semidirect
23. C4×#66949C2semidirect
24. C4×#66931C2semidirect
25. C4×#66983C2semidirect
26. C4×#66937C2semidirect
27. C4×#66992C2semidirect
28. C4×#66992C2semidirect
29. C4×#66992C2semidirect
30. C2×C4×Dic11⋊C4C2semidirect
31. C4×C11×#121C2semidirect
324. C2×C4×Dic11D4semidirect
585. Dic11⋊C4#41semidirect
586. Dic11⋊C4#41semidirect
630. C4×#121D11semidirect
1421. C11#34964semidirect

Maximal subgroups

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

subgroupindex
C2×#106230692
C2×C4×#43412
#130742202
#130742182
#130742122
#130742102
#130741022
#130740022
#130737802
#130735532
#130730582
#130730562
#130722242
#130722222
#130720662
#130720642
#130720552
#130720532
#130718922
#130718902
#130718602
#130718582
C4×#669492
C4×#669312
C4×#669832
C4×#669372
C4×#669922
C2×C4×Dic11⋊C42
C4×C11×#1212
#3496411