Finite Group Databasebeta

← #14922356

Subgroups — #14922356

Order 2816.

2736 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623059C211yesmaximal, characteristic, complemented
2C2×C4×#4341C211yesmaximal, characteristic, complemented
3#13072848C211yesmaximal, characteristic, complemented
4#13072840C211yesmaximal, characteristic, complemented
5#13072730C211yesmaximal, characteristic, complemented
6#13072722C211yesmaximal, characteristic, complemented
7#13072668C211yesmaximal, characteristic, complemented
8#13072660C211yesmaximal, characteristic, complemented
9#13072511C211yesmaximal, characteristic, complemented
10#13072503C211yesmaximal, characteristic, complemented
11#13072481C211yesmaximal, characteristic, complemented
12#13072407C211yesmaximal, characteristic, complemented
13#13072324C211yesmaximal, characteristic, complemented
14#13072230C211yesmaximal, characteristic, complemented
15#13072199C211yesmaximal, characteristic, complemented
16#13072136C211yesmaximal, characteristic, complemented
17#13072029C211yesmaximal, characteristic, complemented
18#13071956C211yesmaximal, characteristic, complemented
19#13071895C211yesmaximal, characteristic, complemented
20#13071895C211yesmaximal, characteristic, complemented
21#13071860C211yesmaximal, characteristic, complemented
22C4×#66993C211yesmaximal, characteristic, complemented
23C4×#66948C211yesmaximal, characteristic, complemented
24C4×#66937C211yesmaximal, characteristic, complemented
25C4×#66992C211yesmaximal, characteristic, complemented
26C4×#66992C211yesmaximal, characteristic, complemented
27#13071092C211yesmaximal, characteristic, complemented
28#13071055C211yesmaximal, characteristic, complemented
29#13071053C211yesmaximal, characteristic, complemented
30C4×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
31C11×#2392C211yesmaximal, characteristic, complemented
32C22×#4341C2211yescharacteristic
33C2×C4×D4×C11C2211yescharacteristic
34C2×C4×D4×C11C2211yescharacteristic
35C2×C4×D4×C11C2211yescharacteristic
36C2×C11×#117C2211yescharacteristic
37C2×#66993C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66992C2211yescharacteristic
40C2×D4×Dic11C2211yescharacteristic
41C2×C4×C22⋊D11C2211yescharacteristic
42C2×C4×C22⋊D11C2211yescharacteristic
43C2×C4×C22⋊D11C2211yescharacteristic
44C2×C4×C22⋊D11C2211yescharacteristic
45C2×C4×C22⋊D11C2211yescharacteristic
46C2×C4×C22⋊D11C2211yescharacteristic
47C2×C4×C22⋊D11C2211yescharacteristic
48C2×C4×C22⋊D11C2211yescharacteristic
49C2×C4×C22⋊D11C2211yescharacteristic
50C22×C4×Dic11C2211yescharacteristic
51C22×C4×Dic11C2211yescharacteristic
52C4×#4341—28no—
53#10623059—28no—
54C2×#66951C2211yescharacteristic
55C2×#66949C2211yescharacteristic
56C2×#66948C2211yescharacteristic
57C2×#66947C2211yescharacteristic
58C2×#66945C2211yescharacteristic
59C2×#66942C2211yescharacteristic
60C2×#66940C2211yescharacteristic
61C2×#66938C2211yescharacteristic
62C2×#66937C2211yescharacteristic
63C2×#66937C2211yescharacteristic
64C2×#66936C2211yescharacteristic
65C2×(C22⋊D11)⋊C4C2211yescharacteristic
66C2×(C22⋊D11)⋊C4C2211yescharacteristic
67C2×(C22⋊D11)⋊C4C2211yescharacteristic
68C2×(C22⋊D11)⋊C4C2211yescharacteristic
69C2×#66932C2211yescharacteristic
70C2×#66930C2211yescharacteristic
71C2×#66930C2211yescharacteristic
72C2×C4×D44C2211yescharacteristic
73C2×C4×D44C2211yescharacteristic
74C2×C4×D44C2211yescharacteristic
75C2×#66925C2211yescharacteristic
76C2×C42×D11C2211yescharacteristic
77C2×C42×D11C2211yescharacteristic
78C2×C4×Dic22C2211yescharacteristic
79C11×#398C2211yescharacteristic
80C11×#397C2211yescharacteristic
81C11×#396C2211yescharacteristic
82C11×#396C2211yescharacteristic
83C11×#394C2211yescharacteristic
84C11×#394C2211yescharacteristic
85C11×#394C2211yescharacteristic
86C11×#392C2211yescharacteristic
87C4×C11×C4⋊C4C2211yescharacteristic
88C4×C11×C22⋊C4C2211yescharacteristic
89C4×C11×C22⋊C4C2211yescharacteristic
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic
93#10622836C2211yescharacteristic
94#10622834C2211yescharacteristic
95#10622833C2211yescharacteristic
96#10622833C2211yescharacteristic
97C4×C22⋊Dic11C2211yescharacteristic
98#10622605C2211yescharacteristic
99#10622605C2211yescharacteristic
100#10622605C2211yescharacteristic
101#10622605C2211yescharacteristic
102#10622603C2211yescharacteristic
103#10622603C2211yescharacteristic
104#10622602C2211yescharacteristic
105#10622602C2211yescharacteristic
106#10622601C2211yescharacteristic
107#10622601C2211yescharacteristic
108#10622600C2211yescharacteristic
109#10622598C2211yescharacteristic
110#10622591C2211yescharacteristic
111#10622591C2211yescharacteristic
112#10622591C2211yescharacteristic
113#10622591C2211yescharacteristic
114#10622589C2211yescharacteristic
115#10622585C2211yescharacteristic
116#10622585C2211yescharacteristic
117#10622585C2211yescharacteristic
118#10622585C2211yescharacteristic
119#10622573C2211yescharacteristic
120#10622573C2211yescharacteristic
121#10622573C2211yescharacteristic
122#10622573C2211yescharacteristic
123#10622573C2211yescharacteristic
124#10622572C2211yescharacteristic
125#10622572C2211yescharacteristic
126#10622571C2211yescharacteristic
127#10622571C2211yescharacteristic
128#10622571C2211yescharacteristic
129#10622571C2211yescharacteristic
130#10622570C2211yescharacteristic
131#10622570C2211yescharacteristic
132#10622570C2211yescharacteristic
133#10622570C2211yescharacteristic
134#10622570C2211yescharacteristic
135#10622570C2211yescharacteristic
136#10622570C2211yescharacteristic
137#10622569C2211yescharacteristic
138#10622569C2211yescharacteristic
139#10622569C2211yescharacteristic
140#10622564C2211yescharacteristic
141#10622562C2211yescharacteristic
142#10622562C2211yescharacteristic
143#10622562C2211yescharacteristic
144#10622562C2211yescharacteristic
145#10622561C2211yescharacteristic
146#10622559C2211yescharacteristic
147#10622559C2211yescharacteristic
148#10622558C2211yescharacteristic
149#10622558C2211yescharacteristic
150#10622557C2211yescharacteristic
151#10622557C2211yescharacteristic
152#10622555C2211yescharacteristic
153#10622555C2211yescharacteristic
154C22⋊C4×Dic11C2211yescharacteristic
155C22⋊C4×Dic11C2211yescharacteristic
156C4×(C2×D11)⋊C4C2211yescharacteristic
157C4×(C2×D11)⋊C4C2211yescharacteristic
158C4×(C2×D11)⋊C4C2211yescharacteristic
159#10622545C2211yescharacteristic
160#10622545C2211yescharacteristic
161C4×Dic11⋊C4C2211yescharacteristic
162C4×Dic11⋊C4C2211yescharacteristic
163C4×Dic11⋊C4C2211yescharacteristic
164C42×Dic11C2211yescharacteristic
165#10622289C2211yescharacteristic
166#10622288C2211yescharacteristic
167#10622285C2211yescharacteristic
168#10622283C2211yescharacteristic
169#10622283C2211yescharacteristic
170#10622282C2211yescharacteristic
171#10622282C2211yescharacteristic
172#10622282C2211yescharacteristic
173#10622280C2211yescharacteristic
174#10622279C2211yescharacteristic
175#10622279C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622270C2211yescharacteristic
180#10622266C2211yescharacteristic
181#10622266C2211yescharacteristic
182#10622265C2211yescharacteristic
183#10622265C2211yescharacteristic
184#10622262C2211yescharacteristic
185#10622262C2211yescharacteristic
186#10622260C2211yescharacteristic
187#10622259C2211yescharacteristic
188#10622259C2211yescharacteristic
189C22×D4×C11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C23×C4×C11C2311yescharacteristic
193C23×C4×C11C2311yescharacteristic
194C23×C4×C11C2311yescharacteristic
195C22×C22⋊D11C2311yescharacteristic
196C22×C22⋊D11C2311yescharacteristic
197C22×C22⋊D11C2311yescharacteristic
198C22×C22⋊D11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C23×Dic11C2311yescharacteristic
205C23×Dic11C2311yescharacteristic
206C23×Dic11C2311yescharacteristic
207C23×Dic11C2311yescharacteristic
208C2×#4341—24no—
209C2×#4341—24no—
210C2×#4341—24no—
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×D44C2311yescharacteristic
214C22×C4×D11C2311yescharacteristic
215C22×C4×D11C2311yescharacteristic
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×Dic22C2311yescharacteristic
222C4×D4×C11—24no—
223C4×D4×C11—42no—
224C4×D4×C11—42no—
225C11×#117—24no—
226C2×C11×C4⋊C4C2311yescharacteristic
227C2×C11×C4⋊C4C2311yescharacteristic
228C2×C11×C4⋊C4C2311yescharacteristic
229C2×C11×C4⋊C4C2311yescharacteristic
230C2×C11×C4⋊C4C2311yescharacteristic
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C22⋊C4C2311yescharacteristic
234C2×C11×C22⋊C4C2311yescharacteristic
235C2×C11×C22⋊C4C2311yescharacteristic
236C2×C11×C22⋊C4C2311yescharacteristic
237C2×C11×C22⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4C2311yescharacteristic
239C2×C11×C22⋊C4C2311yescharacteristic
240C2×C11×C22⋊C4C2311yescharacteristic
241C2×C11×C22⋊C4C2311yescharacteristic
242C2×C11×C22⋊C4C2311yescharacteristic
243C2×C11×C22⋊C4C2311yescharacteristic
244C2×C11×C22⋊C4C2311yescharacteristic
245C2×C42×C11C2311yescharacteristic
246C2×C42×C11C2311yescharacteristic
247C2×C42×C11C2311yescharacteristic
248C2×C42×C11C2311yescharacteristic
249C2×C22⋊Dic11C2311yescharacteristic
250C2×C22⋊Dic11C2311yescharacteristic
251C2×C22⋊Dic11C2311yescharacteristic
252C2×C22⋊Dic11C2311yescharacteristic
253C2×C22⋊Dic11C2311yescharacteristic
254C2×C22⋊Dic11C2311yescharacteristic
255C2×C22⋊Dic11C2311yescharacteristic
256C2×C22⋊Dic11C2311yescharacteristic
257C2×C22⋊Dic11C2311yescharacteristic
258C2×C22⋊Dic11C2311yescharacteristic
259C2×C22⋊Dic11C2311yescharacteristic
260#66993—24no—
261#66992—24no—
262#66992—24no—
263D4×Dic11—24no—
264C4×C22⋊D11—24no—
265C4×C22⋊D11—24no—
266C4×C22⋊D11—24no—
267C4×C22⋊D11—24no—
268C4×C22⋊D11—24no—
269C4×C22⋊D11—24no—
270C4×C22⋊D11—24no—
271C4×C22⋊D11—42no—
272C4×C22⋊D11—42no—
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
288C2×(C2×D11)⋊C4C2311yescharacteristic
289C2×(C2×D11)⋊C4C2311yescharacteristic
290C2×(C2×D11)⋊C4C2311yescharacteristic
291C2×(C2×D11)⋊C4C2311yescharacteristic
292C2×(C2×D11)⋊C4C2311yescharacteristic
293C2×(C2×D11)⋊C4C2311yescharacteristic
294C2×(C2×D11)⋊C4C2311yescharacteristic
295C2×(C2×D11)⋊C4C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297C2×C4⋊Dic11C2311yescharacteristic
298C2×C4⋊Dic11C2311yescharacteristic
299C2×C4⋊Dic11C2311yescharacteristic
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×C4×Dic11—24no—
320C2×C4×Dic11—24no—
321C2×C4×Dic11C2311yescharacteristic
322C2×C4×Dic11C2311yescharacteristic
323C2×C4×Dic11C2311yescharacteristic
324C2×C4×Dic11C2311yescharacteristic
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
338#66951—24no—
339#66949—24no—
340#66948—24no—
341#66947—24no—
342#66945—24no—
343#66942—24no—
344#66940—24no—
345#66938—24no—
346#66937—24no—
347#66937—24no—
348#66936—24no—
349(C22⋊D11)⋊C4—24no—
350(C22⋊D11)⋊C4—24no—
351(C22⋊D11)⋊C4—24no—
352(C22⋊D11)⋊C4—24no—
353#66932—24no—
354#66930—24no—
355#66930—24no—
356C4×D44—24no—
357C4×D44—42no—
358C4×D44—42no—
359#66925—24no—
360C42×D11—24no—
361C42×D11—24no—
362C4×Dic22D418yescomplemented
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#34727—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C23×D11C2411yescharacteristic
396C23×D11C2411yescharacteristic
397C23×D11C2411yescharacteristic
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—41no—
406C2×D4×C11—41no—
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×C11C2411yescharacteristic
417C22×C4×C11C2411yescharacteristic
418C22×C4×C11C2411yescharacteristic
419C22×C4×C11C2411yescharacteristic
420C22×C4×C11C2411yescharacteristic
421C22×C4×C11C2411yescharacteristic
422C22×C4×C11C2411yescharacteristic
423C22×C4×C11C2411yescharacteristic
424C22×C4×C11C2411yescharacteristic
425C22×C4×C11C2411yescharacteristic
426C22×C4×C11C2411yescharacteristic
427C22×C4×C11C2411yescharacteristic
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—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—41no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—41no—
454C2×C22⋊D11#4114yes—
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—41no—
465C22×Dic11—41no—
466C22×Dic11#4114yes—
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478C22×Dic11C2411yescharacteristic
479C22×Dic11C2411yescharacteristic
480#4341—232no—
481C2×D44—22no—
482C2×D44—22no—
483C2×D44—22no—
484C2×D44—22no—
485C2×D44—22no—
486C2×D44—22no—
487C2×D44—41no—
488C2×D44—41no—
489C2×D44—41no—
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×C4×D11—22no—
500C2×C4×D11—22no—
501C2×C4×D11—22no—
502C2×C4×D11—22no—
503C2×C4×D11—22no—
504C2×C4×D11—22no—
505C2×C4×D11—22no—
506C2×C4×D11—22no—
507C2×C4×D11—22no—
508C2×C4×D11—22no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×Dic22—22no—
512C2×Dic22—22no—
513C2×Dic22C2×D414yes—
514C11×C4⋊C4—22no—
515C11×C4⋊C4—22no—
516C11×C4⋊C4—22no—
517C11×C4⋊C4—22no—
518C11×C4⋊C4—41no—
519C11×C4⋊C4—41no—
520C11×C4⋊C4—41no—
521C11×C22⋊C4—22no—
522C11×C22⋊C4—22no—
523C11×C22⋊C4—22no—
524C11×C22⋊C4—22no—
525C11×C22⋊C4—22no—
526C11×C22⋊C4—22no—
527C11×C22⋊C4—22no—
528C11×C22⋊C4—41no—
529C11×C22⋊C4—41no—
530C11×C22⋊C4—41no—
531C11×C22⋊C4—41no—
532C11×C22⋊C4—41no—
533C42×C11—22no—
534C42×C11—22no—
535C42×C11—22no—
536C42×C11C2×D414yes—
537C22⋊Dic11—22no—
538C22⋊Dic11—22no—
539C22⋊Dic11—22no—
540C22⋊Dic11—22no—
541C22⋊Dic11—22no—
542C22⋊Dic11—22no—
543C22⋊Dic11—22no—
544C22⋊Dic11—22no—
545C22⋊Dic11—22no—
546C22⋊Dic11—41no—
547C22⋊Dic11—41no—
548(C2×D11)⋊C4—22no—
549(C2×D11)⋊C4—22no—
550(C2×D11)⋊C4—22no—
551(C2×D11)⋊C4—22no—
552(C2×D11)⋊C4—22no—
553(C2×D11)⋊C4—22no—
554(C2×D11)⋊C4—22no—
555(C2×D11)⋊C4—22no—
556(C2×D11)⋊C4—22no—
557(C2×D11)⋊C4—22no—
558(C2×D11)⋊C4—22no—
559(C2×D11)⋊C4—22no—
560(C2×D11)⋊C4—22no—
561(C2×D11)⋊C4—22no—
562(C2×D11)⋊C4—22no—
563(C2×D11)⋊C4—41no—
564(C2×D11)⋊C4—41no—
565(C2×D11)⋊C4—41no—
566(C2×D11)⋊C4—41no—
567(C2×D11)⋊C4—41no—
568(C2×D11)⋊C4—41no—
569(C2×D11)⋊C4—41no—
570(C2×D11)⋊C4#4114yescomplemented
571C4⋊Dic11—22no—
572C4⋊Dic11—41no—
573C4⋊Dic11—41no—
574C4⋊Dic11C2×D414yes—
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—22no—
584Dic11⋊C4—22no—
585Dic11⋊C4—22no—
586Dic11⋊C4—22no—
587Dic11⋊C4—22no—
588Dic11⋊C4—22no—
589Dic11⋊C4—41no—
590Dic11⋊C4—41no—
591Dic11⋊C4—41no—
592Dic11⋊C4C2×D414yes—
593Dic11⋊C4C2×D414yes—
594C4×Dic11—22no—
595C4×Dic11—22no—
596C4×Dic11—22no—
597C4×Dic11—22no—
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—41no—
608C4×Dic11C2×D414yes—
609C4×Dic11C2×D414yes—
610C4×Dic11#4114yescomplemented
611C2×#529—111no—
612C2×C4×#41—111no—
613#2479—111no—
614#2479—111no—
615#2471—111no—
616#2471—111no—
617#2467—111no—
618#2467—111no—
619#2456—111no—
620#2456—111no—
621#2454—111no—
622#2448—111no—
623#2441—111no—
624#2431—111no—
625#2428—111no—
626#2423—111no—
627#2414—111no—
628#2407—111no—
629#2397—111no—
630#2397—111no—
631#2392—111no—
632#2392D1111yescharacteristic, complemented
633C4×#127—111no—
634C4×#121—111no—
635C4×#121—111no—
636C4×#121—111no—
637C4×#121—111no—
638#2295—111no—
639#2290—111no—
640#2290—111no—
641C42×D4—111no—
642C23×C11—21no—
643C23×C11—21no—
644C23×C11—21no—
645C23×C11—21no—
646C23×C11—21no—
647C23×C11—21no—
648C23×C11—21no—
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×C11C2×#4112yes—
662C23×C11C2×#4112yes—
663C23×C11C2511yescharacteristic
664C22×D11—21no—
665C22×D11—21no—
666C22×D11—21no—
667C22×D11—21no—
668C22×D11—21no—
669C22×D11—21no—
670C22×D11—21no—
671C22×D11—21no—
672C22×D11—21no—
673C22×D11—21no—
674C22×D11—21no—
675C22×D11—21no—
676C22×D11—21no—
677C22×D11—21no—
678C22×D11—21no—
679C22×D11—21no—
680C22×D11—21no—
681C22×D11—21no—
682C22×D11—21no—
683C22×D11C2×#4112yes—
684C22×D11C2×#4112yes—
685D4×C11—28no—
686D4×C11—44no—
687D4×C11—44no—
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—21no—
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—21no—
713C2×C4×C11—21no—
714C2×C4×C11—21no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—44no—
719C2×C4×C11—44no—
720C2×C4×C11—44no—
721C2×C4×C11C22×D412yes—
722C2×C4×C11C22×D412yes—
723C2×C4×C11C22×D412yes—
724C2×C4×C11C2×#4112yes—
725C2×C4×C11C2×#4112yes—
726C2×C4×C11H(5,𝔽2)12yes—
727C22⋊D11—28no—
728C22⋊D11—28no—
729C22⋊D11—28no—
730C22⋊D11—44no—
731C22⋊D11—44no—
732C22⋊D11—44no—
733C22⋊D11—44no—
734C22⋊D11—44no—
735C22⋊D11—44no—
736C2×Dic11—28no—
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—28no—
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—44no—
768C2×Dic11—44no—
769C2×Dic11C22×D412yes—
770C2×Dic11C22×D412yes—
771C2×Dic11C22×D412yes—
772C2×Dic11C22×D412yes—
773C2×Dic11C2×#4112yes—
774C2×Dic11C2×#4112yes—
775C2×Dic11C2×#4112yes—
776C2×Dic11C2×#4112yes—
777C2×Dic11C2×#4112yes—
778C2×Dic11C2×#4112yes—
779D44—44no—
780D44—44no—
781D44—44no—
782C4×D11—28no—
783C4×D11—44no—
784C4×D11—44no—
785C4×D11—44no—
786C4×D11—44no—
787C4×D11—44no—
788C4×D11—44no—
789Dic22—28no—
790C22×#41—111no—
791C2×#127—111no—
792#529—228no—
793C2×#126—111no—
794C2×#126—111no—
795C2×#125—111no—
796C2×#124—111no—
797C2×#123—111no—
798C2×#123—111no—
799C2×C22⋊Q8—111no—
800C2×#121—111no—
801C2×#121—111no—
802C2×#121—111no—
803C2×#121—111no—
804C2×#121—111no—
805C4×#41—228no—
806C2×C4×Q8—111no—
807C2×C4×Q8—111no—
808C2×C4×D4—111no—
809C2×C4×D4—111no—
810C2×C4×D4—111no—
811C2×C4×D4—111no—
812C2×C4×D4—111no—
813C2×C4×D4—111no—
814C2×C4×D4—111no—
815C2×C4×D4—111no—
816C2×C4×D4—111no—
817C2×C4×D4—111no—
818C2×C4×D4—111no—
819C2×C4×D4—111no—
820C2×C4×D4—111no—
821C2×C4×D4—111no—
822C2×C4×D4—111no—
823C2×C4×D4—111no—
824C2×C4×D4—111no—
825C2×C4×D4C2×D1111yescharacteristic
826C2×C4×D4C2×D1111yescharacteristic
827C2×C4×D4C2×D1111yescharacteristic
828C2×#117—111no—
829C2×#117—111no—
830C2×#117—111no—
831C2×#117—111no—
832C2×#117C2×D1111yescharacteristic
833C22×C42—111no—
834C22×C42—111no—
835C22×C42—111no—
836C22×C42—111no—
837#399—111no—
838#399—111no—
839#399—111no—
840#399—111no—
841#399—111no—
842#399—111no—
843#399—111no—
844#399—111no—
845#398—111no—
846#398C2×D1111yescharacteristic
847#397—111no—
848#397C2×D1111yescharacteristic
849#396—111no—
850#396—111no—
851#396C2×D1111yescharacteristic
852#396C2×D1111yescharacteristic
853#394—111no—
854#394—111no—
855#394—111no—
856#394C2×D1111yescharacteristic
857#394C2×D1111yescharacteristic
858#394C2×D1111yescharacteristic
859#392—111no—
860#392—111no—
861#392—111no—
862#392—111no—
863#392—111no—
864#392—111no—
865#392—111no—
866#392—111no—
867#392—111no—
868#392C2×D1111yescharacteristic
869#391—111no—
870#391—111no—
871#390—111no—
872#390—111no—
873#390—111no—
874#390—111no—
875#390—111no—
876#390—111no—
877#390—111no—
878#390—111no—
879#390—111no—
880#390—111no—
881#389—111no—
882#389—111no—
883#389—111no—
884#389—111no—
885#389—111no—
886#389—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#388—111no—
896#388—111no—
897#388—111no—
898#388—111no—
899#387—111no—
900#387—111no—
901#387—111no—
902#387—111no—
903#387—111no—
904#387—111no—
905#387—111no—
906#387—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#385—111no—
920#385—111no—
921#385—111no—
922#385—111no—
923#384—111no—
924#380—111no—
925#380—111no—
926#380—111no—
927#380—111no—
928C4×C4⋊C4—111no—
929C4×C4⋊C4—111no—
930C4×C4⋊C4—111no—
931C4×C4⋊C4—111no—
932C4×C4⋊C4—111no—
933C4×C4⋊C4C2×D1111yescharacteristic
934C4×C22⋊C4—111no—
935C4×C22⋊C4—111no—
936C4×C22⋊C4—111no—
937C4×C22⋊C4—111no—
938C4×C22⋊C4—111no—
939C4×C22⋊C4—111no—
940C4×C22⋊C4—111no—
941C4×C22⋊C4—111no—
942C4×C22⋊C4C2×D1111yescharacteristic
943C4×C22⋊C4C2×D1111yescharacteristic
944#376—111no—
945#376—111no—
946C43—111no—
947C22×C11—22no—
948C22×C11—22no—
949C22×C11—22no—
950C22×C11—22no—
951C22×C11—22no—
952C22×C11—22no—
953C22×C11—41no—
954C22×C11—41no—
955C22×C11—41no—
956C22×C11—41no—
957C22×C11—41no—
958C22×C11—41no—
959C22×C11—41no—
960C22×C11—41no—
961C22×C11—41no—
962C22×C11—41no—
963C22×C11—41no—
964C22×C11—41no—
965C22×C11—41no—
966C22×C11—41no—
967C22×C11—41no—
968C22×C11C23×D411yescharacteristic
969C22×C11C22×#4111yescharacteristic
970C22×C11C22×#4111yescharacteristic
971C22×C11C22×#4111yescharacteristic
972C22×C11C22×#4111yescharacteristic
973C22×C11C2×H(5,𝔽2)11yescharacteristic
974C22×C11#58511yescharacteristic
975C2×D11—22no—
976C2×D11—22no—
977C2×D11—22no—
978C2×D11—22no—
979C2×D11—22no—
980C2×D11—22no—
981C2×D11—41no—
982C2×D11—41no—
983C2×D11—41no—
984C2×D11—41no—
985C2×D11—41no—
986C2×D11—41no—
987C2×D11—41no—
988C2×D11—41no—
989C2×D11—41no—
990C2×D11—41no—
991C2×D11—41no—
992C2×D11—41no—
993C2×D11—41no—
994C2×D11—41no—
995C2×D11—41no—
996C4×C11—22no—
997C4×C11—22no—
998C4×C11—22no—
999C4×C11—41no—
1000C4×C11—41no—
1001C4×C11—41no—
1002C4×C11—41no—
1003C4×C11—41no—
1004C4×C11—41no—
1005C4×C11—41no—
1006C4×C11—41no—
1007C4×C11#55014yes—
1008Dic11—22no—
1009Dic11—22no—
1010Dic11—22no—
1011Dic11—22no—
1012Dic11—22no—
1013Dic11—22no—
1014Dic11—22no—
1015Dic11—41no—
1016Dic11—41no—
1017Dic11—41no—
1018Dic11—41no—
1019Dic11—41no—
1020Dic11#52514yes—
1021C2×#41—224no—
1022C2×#41—224no—
1023C2×#41—224no—
1024C22×Q8—111no—
1025C22×D4—111no—
1026C22×D4—111no—
1027C22×D4—111no—
1028C22×D4—111no—
1029C22×D4—111no—
1030C22×D4—111no—
1031C22×D4—111no—
1032C22×D4—111no—
1033C22×D4—111no—
1034C22×D4—111no—
1035C22×D4—111no—
1036C22×D4—111no—
1037C22×D4C22×D1111yescharacteristic
1038C22×D4C22×D1111yescharacteristic
1039C22×D4C22×D1111yescharacteristic
1040C23×C4—111no—
1041C23×C4—111no—
1042C23×C4—111no—
1043C23×C4—111no—
1044C23×C4—111no—
1045C23×C4—111no—
1046C23×C4—111no—
1047C23×C4—111no—
1048C23×C4—111no—
1049C23×C4—111no—
1050C23×C4—111no—
1051C23×C4C22×D1111yescharacteristic
1052C23×C4C22×D1111yescharacteristic
1053C23×C4C22×D1111yescharacteristic
1054#127—224no—
1055#126—224no—
1056#126—224no—
1057#125—224no—
1058#124—224no—
1059#123—224no—
1060#123—224no—
1061C22⋊Q8—224no—
1062#121—224no—
1063#121—224no—
1064#121—224no—
1065#121—224no—
1066#121—224no—
1067C4×Q8—118no—
1068C4×Q8—224no—
1069C4×D4—24no—
1070C4×D4—42no—
1071C4×D4—42no—
1072C4×D4—224no—
1073C4×D4—224no—
1074C4×D4—224no—
1075C4×D4—224no—
1076C4×D4—224no—
1077C4×D4—224no—
1078C4×D4—224no—
1079C4×D4—224no—
1080C4×D4—224no—
1081C4×D4—224no—
1082C4×D4—224no—
1083C4×D4—224no—
1084C4×D4—224no—
1085C4×D4—442no—
1086C4×D4—442no—
1087C4×D4—442no—
1088C4×D4—442no—
1089#117—24no—
1090#117—224no—
1091#117—224no—
1092#117—224no—
1093#117—224no—
1094C2×C4⋊C4—111no—
1095C2×C4⋊C4—111no—
1096C2×C4⋊C4—111no—
1097C2×C4⋊C4—111no—
1098C2×C4⋊C4—111no—
1099C2×C4⋊C4—111no—
1100C2×C4⋊C4—111no—
1101C2×C4⋊C4—111no—
1102C2×C4⋊C4—111no—
1103C2×C4⋊C4—111no—
1104C2×C4⋊C4—111no—
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⋊C4C22×D1111yescharacteristic
1118C2×C4⋊C4C22×D1111yescharacteristic
1119C2×C4⋊C4C22×D1111yescharacteristic
1120C2×C4⋊C4C22×D1111yescharacteristic
1121C2×C4⋊C4C22×D1111yescharacteristic
1122C2×C4⋊C4C22×D1111yescharacteristic
1123C2×C4⋊C4C22×D1111yescharacteristic
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⋊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⋊C4C22×D1111yescharacteristic
1159C2×C22⋊C4C22×D1111yescharacteristic
1160C2×C22⋊C4C22×D1111yescharacteristic
1161C2×C22⋊C4C22×D1111yescharacteristic
1162C2×C22⋊C4C22×D1111yescharacteristic
1163C2×C22⋊C4C22×D1111yescharacteristic
1164C2×C22⋊C4C22×D1111yescharacteristic
1165C2×C22⋊C4C22×D1111yescharacteristic
1166C2×C22⋊C4C22×D1111yescharacteristic
1167C2×C22⋊C4C22×D1111yescharacteristic
1168C2×C22⋊C4C22×D1111yescharacteristic
1169C2×C22⋊C4C22×D1111yescharacteristic
1170C2×C42—111no—
1171C2×C42—111no—
1172C2×C42—111no—
1173C2×C42—111no—
1174C2×C42—111no—
1175C2×C42—111no—
1176C2×C42—111no—
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—224no—
1188C2×C42—224no—
1189C2×C42—224no—
1190C2×C42—224no—
1191C2×C42C22×D1111yescharacteristic
1192C2×C42C22×D1111yescharacteristic
1193C2×C42C22×D1111yescharacteristic
1194C2×C42C22×D1111yescharacteristic
1195#95—111no—
1196#95—111no—
1197#95—111no—
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#95C22×D1111yescharacteristic
1218#95C22×D1111yescharacteristic
1219#95C22×D1111yescharacteristic
1220#95C22×D1111yescharacteristic
1221#95C22×D1111yescharacteristic
1222#95C22×D1111yescharacteristic
1223C2×C11—42no—
1224C2×C11—42no—
1225C2×C11—81no—
1226C2×C11C2×#52511yescharacteristic
1227C2×C11#344411yescharacteristic
1228C2×C11#346011yescharacteristic
1229C2×C11C2×#55011yescharacteristic
1230C2×C11D4×#4111yescharacteristic
1231C2×C11#347511yescharacteristic
1232C2×C11#348111yescharacteristic
1233D11—42no—
1234D11—42no—
1235D11—81no—
1236C24—111no—
1237C24—111no—
1238C24—111no—
1239C24C23×D1111yescharacteristic
1240C24C23×D1111yescharacteristic
1241C24C23×D1111yescharacteristic
1242#41—2232no—
1243C2×Q8—114no—
1244C2×Q8—222no—
1245C2×Q8—222no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—114no—
1256C2×D4—222no—
1257C2×D4—222no—
1258C2×D4—222no—
1259C2×D4—222no—
1260C2×D4—222no—
1261C2×D4—222no—
1262C2×D4—222no—
1263C2×D4—222no—
1264C2×D4—222no—
1265C2×D4—222no—
1266C2×D4—222no—
1267C2×D4—222no—
1268C2×D4—222no—
1269C2×D4—222no—
1270C2×D4—222no—
1271C2×D4—222no—
1272C2×D4—222no—
1273C2×D4—222no—
1274C2×D4—222no—
1275C2×D4—222no—
1276C2×D4—222no—
1277C2×D4—222no—
1278C2×D4—222no—
1279C2×D4—222no—
1280C2×D4—222no—
1281C2×D4—222no—
1282C2×D4—441no—
1283C2×D4—441no—
1284C2×D4—441no—
1285C2×D4—441no—
1286C2×D4—441no—
1287C2×D4—441no—
1288C2×D4—441no—
1289C2×D4—441no—
1290C2×D4—441no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—111no—
1301C22×C4—114no—
1302C22×C4—111no—
1303C22×C4—111no—
1304C22×C4—111no—
1305C22×C4—111no—
1306C22×C4—111no—
1307C22×C4—111no—
1308C22×C4—111no—
1309C22×C4—111no—
1310C22×C4—111no—
1311C22×C4—111no—
1312C22×C4—111no—
1313C22×C4—111no—
1314C22×C4—222no—
1315C22×C4—222no—
1316C22×C4—222no—
1317C22×C4—222no—
1318C22×C4—222no—
1319C22×C4—222no—
1320C22×C4—222no—
1321C22×C4—222no—
1322C22×C4—222no—
1323C22×C4—222no—
1324C22×C4—222no—
1325C22×C4—222no—
1326C22×C4—222no—
1327C22×C4—222no—
1328C22×C4—222no—
1329C22×C4—222no—
1330C22×C4—222no—
1331C22×C4—222no—
1332C22×C4—222no—
1333C22×C4—222no—
1334C22×C4—222no—
1335C22×C4—222no—
1336C22×C4—222no—
1337C22×C4—222no—
1338C22×C4—222no—
1339C22×C4—222no—
1340C22×C4—222no—
1341C22×C4—222no—
1342C22×C4—441no—
1343C22×C4—441no—
1344C22×C4—441no—
1345C22×C4—441no—
1346C22×C4C23×D1111yescharacteristic
1347C22×C4C23×D1111yescharacteristic
1348C22×C4C23×D1111yescharacteristic
1349C22×C4C23×D1111yescharacteristic
1350C22×C4C23×D1111yescharacteristic
1351C22×C4C23×D1111yescharacteristic
1352C22×C4C23×D1111yescharacteristic
1353C22×C4C23×D1111yescharacteristic
1354C22×C4C23×D1111yescharacteristic
1355C22×C4C23×D1111yescharacteristic
1356C22×C4C23×D1111yescharacteristic
1357C22×C4C23×D1111yescharacteristic
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—114no—
1366C4⋊C4—114no—
1367C4⋊C4—114no—
1368C4⋊C4—222no—
1369C4⋊C4—222no—
1370C4⋊C4—222no—
1371C4⋊C4—222no—
1372C4⋊C4—222no—
1373C4⋊C4—222no—
1374C4⋊C4—222no—
1375C4⋊C4—222no—
1376C4⋊C4—222no—
1377C4⋊C4—222no—
1378C4⋊C4—222no—
1379C4⋊C4—222no—
1380C4⋊C4—222no—
1381C4⋊C4—222no—
1382C4⋊C4—222no—
1383C4⋊C4—441no—
1384C4⋊C4—441no—
1385C4⋊C4—441no—
1386C4⋊C4—441no—
1387C4⋊C4—441no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—114no—
1401C22⋊C4—222no—
1402C22⋊C4—222no—
1403C22⋊C4—222no—
1404C22⋊C4—222no—
1405C22⋊C4—222no—
1406C22⋊C4—222no—
1407C22⋊C4—222no—
1408C22⋊C4—222no—
1409C22⋊C4—222no—
1410C22⋊C4—222no—
1411C22⋊C4—222no—
1412C22⋊C4—222no—
1413C22⋊C4—222no—
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—441no—
1426C22⋊C4—441no—
1427C22⋊C4—441no—
1428C22⋊C4—441no—
1429C22⋊C4—441no—
1430C22⋊C4—441no—
1431C22⋊C4—441no—
1432C22⋊C4—441no—
1433C22⋊C4—441no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—114no—
1438C42—114no—
1439C42—114no—
1440C42—222no—
1441C42—222no—
1442C42—222no—
1443C42—222no—
1444C42—222no—
1445C42—222no—
1446C42—222no—
1447C42—222no—
1448C42—222no—
1449C42—222no—
1450C42—222no—
1451C42—222no—
1452C42—222no—
1453C42—441no—
1454C42D4×D1114yes—
1455C11#3472711yescharacteristic, complemented, Sylow
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—112no—
1476C23—112no—
1477C23—221no—
1478C23—221no—
1479C23—221no—
1480C23—221no—
1481C23—221no—
1482C23—221no—
1483C23—221no—
1484C23—221no—
1485C23—221no—
1486C23—221no—
1487C23—221no—
1488C23—221no—
1489C23—221no—
1490C23—221no—
1491C23—221no—
1492C23—221no—
1493C23—221no—
1494C23—221no—
1495C23—221no—
1496C23#41×D1112yes—
1497C23#41×D1112yes—
1498C23C24×D1111yescharacteristic
1499Q8—228no—
1500D4—28no—
1501D4—44no—
1502D4—44no—
1503D4—228no—
1504D4—228no—
1505D4—228no—
1506D4—444no—
1507D4—444no—
1508D4—444no—
1509D4—444no—
1510D4—444no—
1511D4—444no—
1512D4—444no—
1513D4—444no—
1514D4—444no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
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—21no—
1544C2×C4—21no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—112no—
1549C2×C4—112no—
1550C2×C4—112no—
1551C2×C4—112no—
1552C2×C4—112no—
1553C2×C4—112no—
1554C2×C4—112no—
1555C2×C4—112no—
1556C2×C4—112no—
1557C2×C4—112no—
1558C2×C4—228no—
1559C2×C4—228no—
1560C2×C4—228no—
1561C2×C4—221no—
1562C2×C4—221no—
1563C2×C4—221no—
1564C2×C4—221no—
1565C2×C4—221no—
1566C2×C4—221no—
1567C2×C4—221no—
1568C2×C4—221no—
1569C2×C4—221no—
1570C2×C4—221no—
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—444no—
1591C2×C4—444no—
1592C2×C4—444no—
1593C2×C4—444no—
1594C2×C4—444no—
1595C2×C4—444no—
1596C2×C4—444no—
1597C2×C4—444no—
1598C2×C4C2×D4×D1112yes—
1599C2×C4C2×D4×D1112yes—
1600C2×C4C2×D4×D1112yes—
1601C2×C4#6703712yes—
1602C2×C4#41×D1112yes—
1603C2×C4#41×D1112yes—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—222no—
1626C22—222no—
1627C22—222no—
1628C22—222no—
1629C22—222no—
1630C22—222no—
1631C22—441no—
1632C22—441no—
1633C22—441no—
1634C22—441no—
1635C22—441no—
1636C22—441no—
1637C22—441no—
1638C22—441no—
1639C22—441no—
1640C22—441no—
1641C22—441no—
1642C22—441no—
1643C22—441no—
1644C22—441no—
1645C22—441no—
1646C22C22×D4×D1111yescharacteristic
1647C22C2×#6703711yescharacteristic
1648C22C2×#41×D1111yescharacteristic
1649C22C2×#41×D1111yescharacteristic
1650C22C2×#41×D1111yescharacteristic
1651C22C2×#41×D1111yescharacteristic
1652C22#1062345311yescharacteristic
1653C4—22no—
1654C4—22no—
1655C4—22no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—114no—
1665C4—222no—
1666C4—222no—
1667C4—222no—
1668C4—222no—
1669C4—222no—
1670C4—222no—
1671C4—222no—
1672C4—441no—
1673C4—441no—
1674C4—441no—
1675C4—441no—
1676C4—441no—
1677C4#1062313014yes—
1678C2—42no—
1679C2—42no—
1680C2—81no—
1681C2—442no—
1682C2—442no—
1683C2—881no—
1684C2D11×#52511yescharacteristic
1685C2#1308191011yescharacteristic
1686C2#1308203411yescharacteristic
1687C2C2×#1062313011yescharacteristic
1688C2#1308210211yescharacteristic
1689C2#1308216811yescharacteristic
1690C2#1308221811yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutator, socle, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC11×#2392C2
hypercenter#2392D11
hypocenterC11#34727
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #2392

Complements

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

NH ≅ G/Ntype
1. C2×#10623059C2semidirect
2. C2×C4×#4341C2semidirect
3. #13072848C2semidirect
4. #13072840C2semidirect
5. #13072730C2semidirect
6. #13072722C2semidirect
7. #13072668C2semidirect
8. #13072660C2semidirect
9. #13072511C2semidirect
10. #13072503C2semidirect
11. #13072481C2semidirect
12. #13072407C2semidirect
13. #13072324C2semidirect
14. #13072230C2semidirect
15. #13072199C2semidirect
16. #13072136C2semidirect
17. #13072029C2semidirect
18. #13071956C2semidirect
19. #13071895C2semidirect
20. #13071895C2semidirect
21. #13071860C2semidirect
22. C4×#66993C2semidirect
23. C4×#66948C2semidirect
24. C4×#66937C2semidirect
25. C4×#66992C2semidirect
26. C4×#66992C2semidirect
27. #13071092C2semidirect
28. #13071055C2semidirect
29. #13071053C2semidirect
30. C4×(C22⋊D11)⋊C4C2semidirect
31. C11×#2392C2semidirect
362. C4×Dic22D4semidirect
570. (C2×D11)⋊C4#41semidirect
610. C4×Dic11#41semidirect
632. #2392D11semidirect
1455. C11#34727semidirect

Maximal subgroups

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

subgroupindex
C2×#106230592
C2×C4×#43412
#130728482
#130728402
#130727302
#130727222
#130726682
#130726602
#130725112
#130725032
#130724812
#130724072
#130723242
#130722302
#130721992
#130721362
#130720292
#130719562
#130718952
#130718602
C4×#669932
C4×#669482
C4×#669372
C4×#669922
#130710922
#130710552
#130710532
C4×(C22⋊D11)⋊C42
C11×#23922
#3472711