Finite Group Databasebeta

← #14960576

Subgroups — #14960576

Order 2816.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623160C211yesmaximal, characteristic, complemented
2C2×D11×C22⋊Q8C211yesmaximal, characteristic, complemented
3#13076899C211yesmaximal, characteristic, complemented
4#13076897C211yesmaximal, characteristic, complemented
5#13075119C211yesmaximal, characteristic, complemented
6#13075117C211yesmaximal, characteristic, complemented
7#13075114C211yesmaximal, characteristic, complemented
8#13075112C211yesmaximal, characteristic, complemented
9#13075107C211yesmaximal, characteristic, complemented
10#13075106C211yesmaximal, characteristic, complemented
11#13075105C211yesmaximal, characteristic, complemented
12#13074923C211yesmaximal, characteristic, complemented
13#13074921C211yesmaximal, characteristic, complemented
14#13074920C211yesmaximal, characteristic, complemented
15#13074918C211yesmaximal, characteristic, complemented
16#13074916C211yesmaximal, characteristic, complemented
17#13074915C211yesmaximal, characteristic, complemented
18#13074914C211yesmaximal, characteristic, complemented
19#13074913C211yesmaximal, characteristic, complemented
20#13074363C211yesmaximal, characteristic, complemented
21#13074359C211yesmaximal, characteristic, complemented
22#13073545C211yesmaximal, characteristic, complemented
23#13073543C211yesmaximal, characteristic, complemented
24#13072273C211yesmaximal, characteristic, complemented
25#13072269C211yesmaximal, characteristic, complemented
26#13071952C211yesmaximal, characteristic, complemented
27#13071949C211yesmaximal, characteristic, complemented
28#13071936C211yesmaximal, characteristic, complemented
29#13071933C211yesmaximal, characteristic, complemented
30#13071215C211yesmaximal, characteristic, complemented
31C11×#2692C211yesmaximal, characteristic, complemented
32C22×#4343C2211yescharacteristic
33C22×Q8×D11C2211yescharacteristic
34C22×#4339C2211yescharacteristic
35C23×C4×D11C2211yescharacteristic
36C2×C11×C22⋊Q8C2211yescharacteristic
37C2×C11×C22⋊Q8C2211yescharacteristic, complemented
38C2×#67000C2211yescharacteristic, complemented
39C2×#66999C2211yescharacteristic
40C2×#66999C2211yescharacteristic, complemented
41C2×#66992C2211yescharacteristic
42C2×#66990C2211yescharacteristic
43C2×#66983C2211yescharacteristic
44C2×#66983C2211yescharacteristic, complemented
45C2×#66977C2211yescharacteristic
46#10623160—28no—
47D11×C22⋊Q8—28no—
48C2×#66950C2211yescharacteristic
49C2×#66949C2211yescharacteristic
50C2×#66949C2211yescharacteristic
51C2×#66949C2211yescharacteristic, complemented
52C2×#66949C2211yescharacteristic, complemented
53C2×#66948C2211yescharacteristic
54C2×#66948C2211yescharacteristic
55C2×#66948C2211yescharacteristic
56C2×#66948C2211yescharacteristic, complemented
57C2×#66947C2211yescharacteristic
58C2×#66947C2211yescharacteristic
59C2×#66947C2211yescharacteristic
60C2×C4⋊C4×D11C2211yescharacteristic
61C2×C4⋊C4×D11C2211yescharacteristic
62C2×C4⋊C4×D11C2211yescharacteristic
63C2×#66938C2211yescharacteristic, complemented
64C2×#66938C2211yescharacteristic, complemented
65C2×#66937C2211yescharacteristic
66C2×#66937C2211yescharacteristic
67C2×#66937C2211yescharacteristic
68C2×#66937C2211yescharacteristic, complemented
69C2×#66937C2211yescharacteristic, complemented
70C2×#66936C2211yescharacteristic
71C2×#66935C2211yescharacteristic
72C2×#66935C2211yescharacteristic
73C2×#66935C2211yescharacteristic
74C2×C22⋊C4×D11C2211yescharacteristic
75C2×C22⋊C4×D11C2211yescharacteristic
76C2×#66931C2211yescharacteristic
77C2×#66931C2211yescharacteristic
78C2×#66928C2211yescharacteristic, complemented
79C11×#399C2211yescharacteristic
80C11×#398C2211yescharacteristic, complemented
81C11×#396C2211yescharacteristic, complemented
82C11×#395C2211yescharacteristic, complemented
83C11×#393C2211yescharacteristic
84C11×#393C2211yescharacteristic, complemented
85C11×#391C2211yescharacteristic, complemented
86C11×#390C2211yescharacteristic
87C11×#387C2211yescharacteristic, complemented
88C11×#386C2211yescharacteristic
89C11×#386C2211yescharacteristic
90C11×#385C2211yescharacteristic, complemented
91C11×#380C2211yescharacteristic
92#10622844C2211yescharacteristic
93#10622844C2211yescharacteristic, complemented
94#10622842C2211yescharacteristic, complemented
95#10622836C2211yescharacteristic
96#10622836C2211yescharacteristic
97#10622826C2211yescharacteristic
98#10622826C2211yescharacteristic
99#10622823C2211yescharacteristic, complemented
100#10622607C2211yescharacteristic, complemented
101#10622607C2211yescharacteristic, complemented
102#10622607C2211yescharacteristic, complemented
103#10622607C2211yescharacteristic, complemented
104#10622605C2211yescharacteristic
105#10622605C2211yescharacteristic
106#10622604C2211yescharacteristic, complemented
107#10622604C2211yescharacteristic, complemented
108#10622602C2211yescharacteristic, complemented
109#10622602C2211yescharacteristic, complemented
110#10622602C2211yescharacteristic, complemented
111#10622601C2211yescharacteristic
112#10622601C2211yescharacteristic
113#10622600C2211yescharacteristic
114#10622600C2211yescharacteristic
115#10622597C2211yescharacteristic, complemented
116#10622594C2211yescharacteristic, complemented
117#10622593C2211yescharacteristic, complemented
118#10622592C2211yescharacteristic, complemented
119#10622591C2211yescharacteristic, complemented
120#10622587C2211yescharacteristic, complemented
121#10622574C2211yescharacteristic, complemented
122#10622574C2211yescharacteristic, complemented
123#10622573C2211yescharacteristic
124#10622573C2211yescharacteristic
125#10622573C2211yescharacteristic
126#10622573C2211yescharacteristic
127#10622572C2211yescharacteristic, complemented
128#10622572C2211yescharacteristic, complemented
129#10622571C2211yescharacteristic
130#10622571C2211yescharacteristic
131#10622570C2211yescharacteristic
132#10622570C2211yescharacteristic
133#10622570C2211yescharacteristic
134#10622570C2211yescharacteristic
135#10622569C2211yescharacteristic
136#10622569C2211yescharacteristic
137#10622569C2211yescharacteristic
138#10622569C2211yescharacteristic
139#10622569C2211yescharacteristic
140#10622569C2211yescharacteristic
141#10622562C2211yescharacteristic
142#10622561C2211yescharacteristic, complemented
143#10622560C2211yescharacteristic
144#10622560C2211yescharacteristic, complemented
145#10622555C2211yescharacteristic
146#10622552C2211yescharacteristic
147C4×(C2×D11)⋊C4C2211yescharacteristic
148#10622546C2211yescharacteristic, complemented
149#10622289C2211yescharacteristic, complemented
150#10622289C2211yescharacteristic, complemented
151#10622286C2211yescharacteristic
152#10622286C2211yescharacteristic, complemented
153#10622286C2211yescharacteristic, complemented
154#10622286C2211yescharacteristic, complemented
155#10622286C2211yescharacteristic, complemented
156#10622286C2211yescharacteristic, complemented
157#10622285C2211yescharacteristic, complemented
158#10622285C2211yescharacteristic, complemented
159#10622284C2211yescharacteristic
160#10622284C2211yescharacteristic
161#10622281C2211yescharacteristic, complemented
162#10622281C2211yescharacteristic, complemented
163#10622281C2211yescharacteristic, complemented
164#10622280C2211yescharacteristic
165#10622280C2211yescharacteristic
166#10622279C2211yescharacteristic
167#10622278C2211yescharacteristic
168#10622278C2211yescharacteristic
169#10622278C2211yescharacteristic
170#10622278C2211yescharacteristic
171#10622278C2211yescharacteristic
172#10622278C2211yescharacteristic
173#10622278C2211yescharacteristic
174#10622278C2211yescharacteristic
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178#10622278C2211yescharacteristic
179#10622277C2211yescharacteristic
180#10622277C2211yescharacteristic
181#10622270C2211yescharacteristic, complemented
182#10622269C2211yescharacteristic, complemented
183#10622268C2211yescharacteristic, complemented
184#10622267C2211yescharacteristic, complemented
185#10622266C2211yescharacteristic, complemented
186#10622265C2211yescharacteristic, complemented
187#10622259C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×Q8×C11C2311yescharacteristic
191C22×Q8×C11C2311yescharacteristic
192C22×D4×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
203C23×Dic11C2311yescharacteristic
204C2×#4343—24no—
205C2×#4343—42no—
206C2×#4343—42no—
207C2×Q8×D11—24no—
208C2×Q8×D11—42no—
209C2×Q8×D11—42no—
210C2×#4339—24no—
211C2×#4339—42no—
212C2×#4339—42no—
213C22×D44C2311yescharacteristic
214C22×D44C2311yescharacteristic
215C22×D44C2311yescharacteristic
216C22×D44C2311yescharacteristic
217C22×D44C2311yescharacteristic
218C22×D44C2311yescharacteristic
219C22×D44C2311yescharacteristic
220C22×D44C2311yescharacteristic
221C22×D44C2311yescharacteristic
222C22×C4×D11—24no—
223C22×C4×D11—42no—
224C22×C4×D11—42no—
225C22×C4×D11C2311yescharacteristic
226C22×C4×D11C2311yescharacteristic
227C22×C4×D11C2311yescharacteristic
228C22×C4×D11C2311yescharacteristic
229C22×C4×D11C2311yescharacteristic
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C22×C4×D11C2311yescharacteristic
236C22×Dic22C2311yescharacteristic
237C22×Dic22C2311yescharacteristic
238C22×Dic22C2311yescharacteristic
239C22×Dic22C2311yescharacteristic
240C11×C22⋊Q8—24no—
241C11×C22⋊Q8—24no—
242C2×C11×C4⋊C4C2311yescharacteristic
243C2×C11×C4⋊C4C2311yescharacteristic
244C2×C11×C4⋊C4C2311yescharacteristic
245C2×C11×C4⋊C4C2311yescharacteristic
246C2×C11×C4⋊C4C2311yescharacteristic
247C2×C11×C4⋊C4C2311yescharacteristic
248C2×C11×C4⋊C4C2311yescharacteristic
249C2×C11×C4⋊C4C2311yescharacteristic
250C2×C11×C4⋊C4C2311yescharacteristic
251C2×C11×C22⋊C4C2311yescharacteristic
252C2×C11×C22⋊C4C2311yescharacteristic
253C2×C11×C22⋊C4C2311yescharacteristic
254C2×C11×C22⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4C2311yescharacteristic
256C2×C11×C22⋊C4C2311yescharacteristic
257C2×C11×C22⋊C4C2311yescharacteristic
258C2×C11×C22⋊C4C2311yescharacteristic
259C2×C11×C22⋊C4C2311yescharacteristic
260C2×C11×C22⋊C4C2311yescharacteristic
261C2×C42×C11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268#67000—42no—
269#66999—24no—
270#66999—24no—
271#66992—42no—
272#66990—42no—
273#66983—24no—
274#66983—42no—
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×(C2×D11)⋊C4C2311yescharacteristic
297C2×(C2×D11)⋊C4C2311yescharacteristic
298C2×(C2×D11)⋊C4C2311yescharacteristic
299C2×(C2×D11)⋊C4C2311yescharacteristic
300C2×(C2×D11)⋊C4C2311yescharacteristic
301C2×(C2×D11)⋊C4C2311yescharacteristic
302C2×(C2×D11)⋊C4C2311yescharacteristic
303C2×(C2×D11)⋊C4C2311yescharacteristic
304C2×(C2×D11)⋊C4C2311yescharacteristic
305C2×(C2×D11)⋊C4C2311yescharacteristic
306C2×(C2×D11)⋊C4C2311yescharacteristic
307C2×(C2×D11)⋊C4C2311yescharacteristic
308C2×(C2×D11)⋊C4C2311yescharacteristic
309C2×(C2×D11)⋊C4C2311yescharacteristic
310C2×(C2×D11)⋊C4C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
314C2×C4⋊Dic11C2311yescharacteristic
315C2×C4⋊Dic11C2311yescharacteristic
316#66977—24no—
317C2×Dic11⋊C4C2311yescharacteristic
318C2×Dic11⋊C4C2311yescharacteristic
319C2×Dic11⋊C4C2311yescharacteristic
320C2×Dic11⋊C4C2311yescharacteristic
321C2×Dic11⋊C4C2311yescharacteristic
322C2×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
326C2×Dic11⋊C4C2311yescharacteristic
327C2×Dic11⋊C4C2311yescharacteristic
328C2×Dic11⋊C4C2311yescharacteristic
329C2×Dic11⋊C4C2311yescharacteristic
330C2×Dic11⋊C4C2311yescharacteristic
331C2×C4×Dic11C2311yescharacteristic
332C2×C4×Dic11C2311yescharacteristic
333C2×C4×Dic11C2311yescharacteristic
334#66950—24no—
335#66949—24no—
336#66949—24no—
337#66949—24no—
338#66949—24no—
339#66948—24no—
340#66948—24no—
341#66948—24no—
342#66948—42no—
343#66947—42no—
344#66947—42no—
345#66947—42no—
346C4⋊C4×D11—24no—
347C4⋊C4×D11—24no—
348C4⋊C4×D11D418yescomplemented
349#66938—42no—
350#66938—42no—
351#66937—24no—
352#66937—24no—
353#66937—24no—
354#66937—24no—
355#66937—42no—
356#66936—42no—
357#66935—42no—
358#66935—42no—
359#66935—42no—
360C22⋊C4×D11—24no—
361C22⋊C4×D11—24no—
362#66931—24no—
363#66931—24no—
364#66928—42no—
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
391C11⋊#95C2311yescharacteristic
392C11⋊#95C2311yescharacteristic
393C11⋊#95C2311yescharacteristic
394C11⋊#95C2311yescharacteristic
395C11⋊#95C2311yescharacteristic
396C11⋊#95C2311yescharacteristic
397#36707—111nomaximal, Sylow
398C24×C11C2411yescharacteristic
399C24×C11C2411yescharacteristic
400C23×D11—22no—
401C23×D11—22no—
402C23×D11—22no—
403C23×D11—22no—
404C23×D11—22no—
405C23×D11—41no—
406C23×D11—41no—
407C23×D11C2411yescharacteristic
408C23×D11C2411yescharacteristic
409C23×D11C2411yescharacteristic
410C23×D11C2411yescharacteristic
411C23×D11C2411yescharacteristic
412C2×Q8×C11—22no—
413C2×Q8×C11—22no—
414C2×Q8×C11—22no—
415C2×Q8×C11—41no—
416C2×Q8×C11—41no—
417C2×Q8×C11—41no—
418C2×D4×C11—22no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C22×C4×C11—22no—
422C22×C4×C11—22no—
423C22×C4×C11—22no—
424C22×C4×C11—41no—
425C22×C4×C11—41no—
426C22×C4×C11—41no—
427C22×C4×C11C2411yescharacteristic
428C22×C4×C11C2411yescharacteristic
429C22×C4×C11C2411yescharacteristic
430C22×C4×C11C2411yescharacteristic
431C22×C4×C11C2411yescharacteristic
432C22×C4×C11C2411yescharacteristic
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
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—22no—
449C2×C22⋊D11—22no—
450C2×C22⋊D11—41no—
451C2×C22⋊D11—41no—
452C2×C22⋊D11—41no—
453C2×C22⋊D11—41no—
454C2×C22⋊D11—41no—
455C2×C22⋊D11—41no—
456C2×C22⋊D11—41no—
457C2×C22⋊D11—41no—
458C2×C22⋊D11—41no—
459C2×C22⋊D11—41no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C22×Dic11—22no—
465C22×Dic11—22no—
466C22×Dic11—41no—
467C22×Dic11C2411yescharacteristic
468C22×Dic11C2411yescharacteristic
469C22×Dic11C2411yescharacteristic
470C22×Dic11C2411yescharacteristic
471C22×Dic11C2411yescharacteristic
472C22×Dic11C2411yescharacteristic
473C22×Dic11C2411yescharacteristic
474C22×Dic11C2411yescharacteristic
475C22×Dic11C2411yescharacteristic
476C22×Dic11C2411yescharacteristic
477C22×Dic11C2411yescharacteristic
478#4343—416no—
479Q8×D11—416no—
480#4339—416no—
481C2×D44—22no—
482C2×D44—22no—
483C2×D44—22no—
484C2×D44—22no—
485C2×D44—22no—
486C2×D44—22no—
487C2×D44—22no—
488C2×D44—22no—
489C2×D44—22no—
490C2×D44—22no—
491C2×D44—22no—
492C2×D44—22no—
493C2×D44—22no—
494C2×D44—22no—
495C2×D44—22no—
496C2×D44—41no—
497C2×D44—41no—
498C2×D44—41no—
499C2×D44—41no—
500C2×D44—41no—
501C2×D44—41no—
502C2×D44—41no—
503C2×D44—41no—
504C2×D44—41no—
505C2×D44—41no—
506C2×D44—41no—
507C2×D44—41no—
508C2×C4×D11—22no—
509C2×C4×D11—22no—
510C2×C4×D11—22no—
511C2×C4×D11—22no—
512C2×C4×D11—22no—
513C2×C4×D11—22no—
514C2×C4×D11—22no—
515C2×C4×D11—22no—
516C2×C4×D11—22no—
517C2×C4×D11—22no—
518C2×C4×D11—22no—
519C2×C4×D11—22no—
520C2×C4×D11—22no—
521C2×C4×D11—22no—
522C2×C4×D11—22no—
523C2×C4×D11—22no—
524C2×C4×D11—41no—
525C2×C4×D11—41no—
526C2×C4×D11—41no—
527C2×C4×D11—41no—
528C2×C4×D11—41no—
529C2×C4×D11—41no—
530C2×C4×D11—41no—
531C2×C4×D11—41no—
532C2×C4×D11—41no—
533C2×C4×D11—41no—
534C2×C4×D11—41no—
535C2×C4×D11—41no—
536C2×C4×D11—41no—
537C2×C4×D11—41no—
538C2×C4×D11—416no—
539C2×C4×D11C2×D414yes—
540C2×C4×D11C2×D414yes—
541C2×C4×D11C2×D414yes—
542C2×Dic22—22no—
543C2×Dic22—22no—
544C2×Dic22—22no—
545C2×Dic22—22no—
546C2×Dic22—22no—
547C2×Dic22—22no—
548C2×Dic22—22no—
549C2×Dic22—41no—
550C2×Dic22—41no—
551C2×Dic22—41no—
552C2×Dic22—41no—
553C2×Dic22—41no—
554C11×C4⋊C4—22no—
555C11×C4⋊C4—22no—
556C11×C4⋊C4—22no—
557C11×C4⋊C4—22no—
558C11×C4⋊C4—41no—
559C11×C4⋊C4—41no—
560C11×C4⋊C4—41no—
561C11×C4⋊C4—41no—
562C11×C4⋊C4C2×D414yes—
563C11×C22⋊C4—22no—
564C11×C22⋊C4—22no—
565C11×C22⋊C4—22no—
566C11×C22⋊C4—22no—
567C11×C22⋊C4—22no—
568C11×C22⋊C4—41no—
569C11×C22⋊C4—41no—
570C11×C22⋊C4—41no—
571C11×C22⋊C4—41no—
572C11×C22⋊C4—41no—
573C42×C11—41no—
574C22⋊Dic11—22no—
575C22⋊Dic11—22no—
576C22⋊Dic11—22no—
577C22⋊Dic11—41no—
578C22⋊Dic11—41no—
579C22⋊Dic11—41no—
580(C2×D11)⋊C4—22no—
581(C2×D11)⋊C4—22no—
582(C2×D11)⋊C4—22no—
583(C2×D11)⋊C4—22no—
584(C2×D11)⋊C4—22no—
585(C2×D11)⋊C4—22no—
586(C2×D11)⋊C4—22no—
587(C2×D11)⋊C4—22no—
588(C2×D11)⋊C4—22no—
589(C2×D11)⋊C4—22no—
590(C2×D11)⋊C4—22no—
591(C2×D11)⋊C4—22no—
592(C2×D11)⋊C4—22no—
593(C2×D11)⋊C4—22no—
594(C2×D11)⋊C4—22no—
595(C2×D11)⋊C4—22no—
596(C2×D11)⋊C4—22no—
597(C2×D11)⋊C4—22no—
598(C2×D11)⋊C4—22no—
599(C2×D11)⋊C4—22no—
600(C2×D11)⋊C4—41no—
601(C2×D11)⋊C4—41no—
602(C2×D11)⋊C4—41no—
603(C2×D11)⋊C4—41no—
604(C2×D11)⋊C4—41no—
605(C2×D11)⋊C4—41no—
606(C2×D11)⋊C4—41no—
607(C2×D11)⋊C4—41no—
608(C2×D11)⋊C4—41no—
609(C2×D11)⋊C4—41no—
610(C2×D11)⋊C4—41no—
611(C2×D11)⋊C4—41no—
612(C2×D11)⋊C4—41no—
613(C2×D11)⋊C4—41no—
614(C2×D11)⋊C4—41no—
615(C2×D11)⋊C4—41no—
616C4⋊Dic11—22no—
617C4⋊Dic11—22no—
618C4⋊Dic11—41no—
619C4⋊Dic11—41no—
620C4⋊Dic11C2×D414yes—
621Dic11⋊C4—22no—
622Dic11⋊C4—22no—
623Dic11⋊C4—22no—
624Dic11⋊C4—22no—
625Dic11⋊C4—22no—
626Dic11⋊C4—22no—
627Dic11⋊C4—41no—
628Dic11⋊C4—41no—
629Dic11⋊C4—41no—
630Dic11⋊C4—41no—
631Dic11⋊C4—41no—
632Dic11⋊C4—41no—
633Dic11⋊C4C2×D414yes—
634Dic11⋊C4C2×D414yes—
635C4×Dic11—41no—
636C4×Dic11—41no—
637C4×Dic11—41no—
638C2×#537—111no—
639C22×C22⋊Q8—111no—
640#2847—111no—
641#2847—111no—
642#2692—111no—
643#2692—111no—
644#2692—111no—
645#2692—111no—
646#2692—111no—
647#2692—111no—
648#2692—111no—
649#2692D1111yescharacteristic, complemented
650#2676—111no—
651#2676—111no—
652#2676—111no—
653#2676—111no—
654#2676—111no—
655#2676—111no—
656#2676—111no—
657#2676—111no—
658#2618—111no—
659#2618—111no—
660#2539—111no—
661#2539—111no—
662#2436—111no—
663#2436—111no—
664#2406—111no—
665#2406—111no—
666#2404—111no—
667#2404—111no—
668#2313—111no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11—21no—
680C23×C11—21no—
681C23×C11—21no—
682C23×C112−1+412yes—
683C23×C11C2511yescharacteristic
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—28no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—21no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—21no—
700C22×D11—21no—
701C22×D11—21no—
702C22×D11—21no—
703C22×D11—21no—
704C22×D11—21no—
705C22×D11—21no—
706C22×D11—21no—
707C22×D11—21no—
708C22×D11—21no—
709C22×D11—21no—
710C22×D11—21no—
711C22×D11—21no—
712C22×D11—21no—
713C22×D11—21no—
714C22×D11—21no—
715C22×D11—21no—
716C22×D11—44no—
717C22×D11—44no—
718C22×D11—44no—
719C22×D11—44no—
720C22×D11—44no—
721C22×D11—44no—
722C22×D11C22×D412yes—
723C22×D11H(5,𝔽2)12yes—
724C22×D11H(5,𝔽2)12yes—
725C22×D112−1+412yes—
726Q8×C11—44no—
727Q8×C11—44no—
728D4×C11—82no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—21no—
742C2×C4×C11—21no—
743C2×C4×C11—21no—
744C2×C4×C11—21no—
745C2×C4×C11—21no—
746C2×C4×C11—21no—
747C2×C4×C11—21no—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—44no—
765C2×C4×C11—44no—
766C2×C4×C11C22×D412yes—
767C2×C4×C11C22×D412yes—
768C2×C4×C11C22×D412yes—
769C2×C4×C11H(5,𝔽2)12yes—
770C22⋊D11—44no—
771C22⋊D11—44no—
772C22⋊D11—82no—
773C22⋊D11—82no—
774C22⋊D11—82no—
775C22⋊D11—82no—
776C22⋊D11—82no—
777C22⋊D11—82no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—21no—
801C2×Dic11—21no—
802C2×Dic11—21no—
803C2×Dic11—21no—
804C2×Dic11—21no—
805C2×Dic11—21no—
806C2×Dic11—21no—
807C2×Dic11—44no—
808C2×Dic11C22×D412yes—
809C2×Dic11C22×D412yes—
810C2×Dic11C22×D412yes—
811C2×Dic11H(5,𝔽2)12yes—
812D44—44no—
813D44—44no—
814D44—44no—
815D44—44no—
816D44—82no—
817D44—82no—
818D44—82no—
819D44—82no—
820D44—82no—
821C4×D11—28no—
822C4×D11—28no—
823C4×D11—44no—
824C4×D11—44no—
825C4×D11—44no—
826C4×D11—44no—
827C4×D11—44no—
828C4×D11—44no—
829C4×D11—44no—
830C4×D11—44no—
831C4×D11—44no—
832Dic22—44no—
833Dic22—44no—
834Dic22—44no—
835Dic22—44no—
836C22×#41—111no—
837C22×#41—111no—
838C23×Q8—111no—
839C24×C4—111no—
840#537—228no—
841C2×#124—111no—
842C2×#124—111no—
843C2×#124—111no—
844C2×#124—111no—
845C2×#123—111no—
846C2×#123—111no—
847C2×#123—111no—
848C2×#123—111no—
849C2×C22⋊Q8—111no—
850C2×C22⋊Q8—111no—
851C2×C22⋊Q8—111no—
852C2×C22⋊Q8—111no—
853C2×C22⋊Q8—111no—
854C2×C22⋊Q8—111no—
855C2×C22⋊Q8—111no—
856C2×C22⋊Q8—111no—
857C2×C22⋊Q8—111no—
858C2×C22⋊Q8—111no—
859C2×C22⋊Q8—228no—
860C2×C22⋊Q8C2×D1111yescharacteristic
861C2×C22⋊Q8C2×D1111yescharacteristic, complemented
862C2×#121—111no—
863C2×#121—111no—
864C2×#121—111no—
865C2×#121—111no—
866C2×#121—111no—
867C2×#121—111no—
868C2×#121—111no—
869C2×#121—111no—
870C2×#121—111no—
871C2×#121—111no—
872C2×#121—111no—
873C2×#121—111no—
874C2×#120—111no—
875C2×#120—111no—
876C2×#120—111no—
877C2×#120—111no—
878C22×C4⋊C4—111no—
879C22×C4⋊C4—111no—
880C22×C4⋊C4—111no—
881C22×C22⋊C4—111no—
882C22×C22⋊C4—111no—
883#399—111no—
884#399—111no—
885#399—111no—
886#399C2×D1111yescharacteristic
887#398—111no—
888#398—111no—
889#398—111no—
890#398C2×D1111yescharacteristic, complemented
891#396—111no—
892#396—111no—
893#396—111no—
894#396—111no—
895#396—111no—
896#396—111no—
897#396—111no—
898#396C2×D1111yescharacteristic, complemented
899#395—111no—
900#395—111no—
901#395—111no—
902#395C2×D1111yescharacteristic, complemented
903#394—111no—
904#394—111no—
905#394—111no—
906#394—111no—
907#394—111no—
908#394—111no—
909#394—111no—
910#394—111no—
911#393—111no—
912#393—111no—
913#393—111no—
914#393—111no—
915#393—111no—
916#393—111no—
917#393—111no—
918#393—111no—
919#393—111no—
920#393—111no—
921#393C2×D1111yescharacteristic
922#393C2×D1111yescharacteristic, complemented
923#392—111no—
924#392—111no—
925#392—111no—
926#392—111no—
927#392—111no—
928#392—111no—
929#392—111no—
930#392—111no—
931#391—111no—
932#391—111no—
933#391—111no—
934#391C2×D1111yescharacteristic, complemented
935#390—111no—
936#390—111no—
937#390—111no—
938#390—111no—
939#390—111no—
940#390—111no—
941#390—111no—
942#390C2×D1111yescharacteristic
943#387—111no—
944#387—111no—
945#387—111no—
946#387—111no—
947#387—111no—
948#387—111no—
949#387—111no—
950#387C2×D1111yescharacteristic, complemented
951#386—111no—
952#386—111no—
953#386—111no—
954#386—111no—
955#386—111no—
956#386—111no—
957#386—111no—
958#386—111no—
959#386—111no—
960#386—111no—
961#386—111no—
962#386—111no—
963#386—111no—
964#386—111no—
965#386—111no—
966#386—111no—
967#386—111no—
968#386—111no—
969#386—111no—
970#386—111no—
971#386—111no—
972#386—111no—
973#386C2×D1111yescharacteristic
974#386C2×D1111yescharacteristic
975#385—111no—
976#385—111no—
977#385—111no—
978#385—111no—
979#385—111no—
980#385—111no—
981#385—111no—
982#385C2×D1111yescharacteristic, complemented
983#381—111no—
984#381—111no—
985#380—111no—
986#380—111no—
987#380—111no—
988#380—111no—
989#380—111no—
990#380C2×D1111yescharacteristic
991C4×C22⋊C4—111no—
992C4×C22⋊C4—111no—
993C22×C11—22no—
994C22×C11—22no—
995C22×C11—22no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11—41no—
1001C22×C11—41no—
1002C22×C11—41no—
1003C22×C11—41no—
1004C22×C11—41no—
1005C22×C11—41no—
1006C22×C11—41no—
1007C22×C11C23×D411yescharacteristic
1008C22×C11C2×H(5,𝔽2)11yescharacteristic
1009C22×C11C2×H(5,𝔽2)11yescharacteristic
1010C22×C11C2×H(5,𝔽2)11yescharacteristic
1011C22×C11C2×H(5,𝔽2)11yescharacteristic
1012C22×C11C2×2−1+411yescharacteristic
1013C22×C11C2×2−1+411yescharacteristic
1014C2×D11—22no—
1015C2×D11—22no—
1016C2×D11—22no—
1017C2×D11—22no—
1018C2×D11—22no—
1019C2×D11—22no—
1020C2×D11—22no—
1021C2×D11—22no—
1022C2×D11—22no—
1023C2×D11—416no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—41no—
1030C2×D11—41no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—41no—
1045C2×D11—41no—
1046C2×D11—41no—
1047C2×D11—41no—
1048C2×D11—41no—
1049C2×D11#53514yes—
1050C4×C11—22no—
1051C4×C11—22no—
1052C4×C11—22no—
1053C4×C11—22no—
1054C4×C11—41no—
1055C4×C11—41no—
1056C4×C11—41no—
1057C4×C11—41no—
1058C4×C11—41no—
1059C4×C11—41no—
1060C4×C11—41no—
1061C4×C11—41no—
1062C4×C11—41no—
1063Dic11—22no—
1064Dic11—22no—
1065Dic11—22no—
1066Dic11—22no—
1067Dic11—41no—
1068Dic11—41no—
1069Dic11—41no—
1070Dic11—41no—
1071Dic11—41no—
1072Dic11—41no—
1073Dic11—41no—
1074C25—111no—
1075C2×#41—224no—
1076C2×#41—224no—
1077C2×#41—442no—
1078C2×#41—442no—
1079C2×#41—442no—
1080C2×#41—442no—
1081C22×Q8—111no—
1082C22×Q8—111no—
1083C22×Q8—111no—
1084C22×Q8—111no—
1085C22×Q8—224no—
1086C22×Q8—442no—
1087C22×Q8—442no—
1088C22×Q8C22×D1111yescharacteristic
1089C22×Q8C22×D1111yescharacteristic
1090C22×D4—111no—
1091C22×D4—111no—
1092C22×D4—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—111no—
1096C22×D4—111no—
1097C22×D4—111no—
1098C22×D4—111no—
1099C22×D4—111no—
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—111no—
1105C22×D4—111no—
1106C22×D4—111no—
1107C22×D4C22×D1111yescharacteristic
1108C23×C4—111no—
1109C23×C4—111no—
1110C23×C4—111no—
1111C23×C4—111no—
1112C23×C4—111no—
1113C23×C4—111no—
1114C23×C4—111no—
1115C23×C4—111no—
1116C23×C4—111no—
1117C23×C4—111no—
1118C23×C4—111no—
1119C23×C4—111no—
1120C23×C4—224no—
1121C23×C4—442no—
1122C23×C4—442no—
1123C23×C4C22×D1111yescharacteristic
1124C23×C4C22×D1111yescharacteristic
1125#124—442no—
1126#124—442no—
1127#124—442no—
1128#124—442no—
1129#123—442no—
1130#123—442no—
1131#123—442no—
1132#123—442no—
1133C22⋊Q8—24no—
1134C22⋊Q8—24no—
1135C22⋊Q8—224no—
1136C22⋊Q8—224no—
1137C22⋊Q8—224no—
1138C22⋊Q8—224no—
1139C22⋊Q8—224no—
1140C22⋊Q8—224no—
1141C22⋊Q8—224no—
1142C22⋊Q8—224no—
1143C22⋊Q8—224no—
1144C22⋊Q8—224no—
1145#121—224no—
1146#121—224no—
1147#121—224no—
1148#121—224no—
1149#121—224no—
1150#121—224no—
1151#121—224no—
1152#121—224no—
1153#121—442no—
1154#121—442no—
1155#121—442no—
1156#121—442no—
1157#120—442no—
1158#120—442no—
1159#120—442no—
1160#120—442no—
1161C2×C4⋊C4—111no—
1162C2×C4⋊C4—111no—
1163C2×C4⋊C4—111no—
1164C2×C4⋊C4—118no—
1165C2×C4⋊C4—111no—
1166C2×C4⋊C4—111no—
1167C2×C4⋊C4—111no—
1168C2×C4⋊C4—111no—
1169C2×C4⋊C4—111no—
1170C2×C4⋊C4—111no—
1171C2×C4⋊C4—111no—
1172C2×C4⋊C4—111no—
1173C2×C4⋊C4—111no—
1174C2×C4⋊C4—111no—
1175C2×C4⋊C4—111no—
1176C2×C4⋊C4—111no—
1177C2×C4⋊C4—111no—
1178C2×C4⋊C4—111no—
1179C2×C4⋊C4—111no—
1180C2×C4⋊C4—111no—
1181C2×C4⋊C4—224no—
1182C2×C4⋊C4—224no—
1183C2×C4⋊C4C22×D1111yescharacteristic
1184C2×C4⋊C4C22×D1111yescharacteristic
1185C2×C4⋊C4C22×D1111yescharacteristic
1186C2×C4⋊C4C22×D1111yescharacteristic
1187C2×C4⋊C4C22×D1111yescharacteristic
1188C2×C4⋊C4C22×D1111yescharacteristic
1189C2×C4⋊C4C22×D1111yescharacteristic
1190C2×C4⋊C4C22×D1111yescharacteristic
1191C2×C4⋊C4C22×D1111yescharacteristic
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—111no—
1196C2×C22⋊C4—111no—
1197C2×C22⋊C4—111no—
1198C2×C22⋊C4—111no—
1199C2×C22⋊C4—111no—
1200C2×C22⋊C4—111no—
1201C2×C22⋊C4—111no—
1202C2×C22⋊C4—111no—
1203C2×C22⋊C4—111no—
1204C2×C22⋊C4—111no—
1205C2×C22⋊C4—111no—
1206C2×C22⋊C4—111no—
1207C2×C22⋊C4—111no—
1208C2×C22⋊C4—111no—
1209C2×C22⋊C4—111no—
1210C2×C22⋊C4—111no—
1211C2×C22⋊C4—111no—
1212C2×C22⋊C4—111no—
1213C2×C22⋊C4—111no—
1214C2×C22⋊C4—111no—
1215C2×C22⋊C4—111no—
1216C2×C22⋊C4—111no—
1217C2×C22⋊C4—111no—
1218C2×C22⋊C4—111no—
1219C2×C22⋊C4—111no—
1220C2×C22⋊C4—111no—
1221C2×C22⋊C4—111no—
1222C2×C22⋊C4—111no—
1223C2×C22⋊C4—111no—
1224C2×C22⋊C4—111no—
1225C2×C22⋊C4—111no—
1226C2×C22⋊C4—111no—
1227C2×C22⋊C4—111no—
1228C2×C22⋊C4—111no—
1229C2×C22⋊C4—111no—
1230C2×C22⋊C4—111no—
1231C2×C22⋊C4—111no—
1232C2×C22⋊C4—111no—
1233C2×C22⋊C4—111no—
1234C2×C22⋊C4—224no—
1235C2×C22⋊C4—224no—
1236C2×C22⋊C4C22×D1111yescharacteristic
1237C2×C22⋊C4C22×D1111yescharacteristic
1238C2×C22⋊C4C22×D1111yescharacteristic
1239C2×C22⋊C4C22×D1111yescharacteristic
1240C2×C22⋊C4C22×D1111yescharacteristic
1241C2×C22⋊C4C22×D1111yescharacteristic
1242C2×C22⋊C4C22×D1111yescharacteristic
1243C2×C22⋊C4C22×D1111yescharacteristic
1244C2×C22⋊C4C22×D1111yescharacteristic
1245C2×C22⋊C4C22×D1111yescharacteristic
1246C2×C42—111no—
1247C2×C42—111no—
1248C2×C42—111no—
1249C2×C42C22×D1111yescharacteristic
1250#95—111no—
1251#95—111no—
1252#95—111no—
1253#95—111no—
1254#95—111no—
1255#95—111no—
1256#95—111no—
1257#95—111no—
1258#95—111no—
1259#95—111no—
1260#95—111no—
1261#95—111no—
1262#95—111no—
1263#95—111no—
1264#95—111no—
1265#95—111no—
1266#95—111no—
1267#95—111no—
1268#95—111no—
1269#95—111no—
1270#95—111no—
1271#95—111no—
1272#95C22×D1111yescharacteristic
1273#95C22×D1111yescharacteristic
1274#95C22×D1111yescharacteristic
1275#95C22×D1111yescharacteristic
1276#95C22×D1111yescharacteristic
1277#95C22×D1111yescharacteristic
1278#95C22×D1111yescharacteristic
1279#95C22×D1111yescharacteristic
1280#95C22×D1111yescharacteristic
1281#95C22×D1111yescharacteristic
1282C2×C11—42no—
1283C2×C11—81no—
1284C2×C11C2×#53511yescharacteristic
1285C2×C11#348411yescharacteristic
1286C2×C11#348611yescharacteristic
1287C2×C11#353611yescharacteristic
1288C2×C11#353611yescharacteristic
1289C2×C11#353611yescharacteristic
1290C2×C11#353611yescharacteristic
1291D11—24no—
1292D11—42no—
1293D11—81no—
1294D11—81no—
1295D11—81no—
1296C24—111no—
1297C24—111no—
1298C24—111no—
1299C24—111no—
1300C24—111no—
1301C24—222no—
1302C24—222no—
1303C24—222no—
1304C24—222no—
1305C24—222no—
1306C24—441no—
1307C24—441no—
1308C24C23×D1111yescharacteristic
1309C24C23×D1111yescharacteristic
1310#41—4416no—
1311#41—4416no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—41no—
1316C2×Q8—41no—
1317C2×Q8—41no—
1318C2×Q8—222no—
1319C2×Q8—222no—
1320C2×Q8—222no—
1321C2×Q8—222no—
1322C2×Q8—222no—
1323C2×Q8—222no—
1324C2×Q8—222no—
1325C2×Q8—441no—
1326C2×Q8—441no—
1327C2×Q8—441no—
1328C2×Q8—441no—
1329C2×Q8—441no—
1330C2×Q8—4416no—
1331C2×D4—22no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—222no—
1335C2×D4—222no—
1336C2×D4—222no—
1337C2×D4—222no—
1338C2×D4—222no—
1339C2×D4—222no—
1340C2×D4—222no—
1341C2×D4—222no—
1342C2×D4—222no—
1343C2×D4—222no—
1344C2×D4—222no—
1345C2×D4—222no—
1346C2×D4—222no—
1347C2×D4—222no—
1348C2×D4—222no—
1349C2×D4—222no—
1350C2×D4—222no—
1351C2×D4—222no—
1352C2×D4—222no—
1353C2×D4—222no—
1354C2×D4—222no—
1355C2×D4—222no—
1356C2×D4—222no—
1357C2×D4—222no—
1358C2×D4—222no—
1359C2×D4—441no—
1360C2×D4—441no—
1361C2×D4—441no—
1362C2×D4—441no—
1363C2×D4—441no—
1364C2×D4—441no—
1365C2×D4—441no—
1366C2×D4—441no—
1367C2×D4—441no—
1368C2×D4—441no—
1369C2×D4—441no—
1370C2×D4—441no—
1371C2×D4—441no—
1372C2×D4—441no—
1373C2×D4—441no—
1374C2×D4—441no—
1375C2×D4—441no—
1376C2×D4—441no—
1377C2×D4—441no—
1378C2×D4—441no—
1379C2×D4—441no—
1380C2×D4—441no—
1381C2×D4—441no—
1382C2×D4—441no—
1383C2×D4—441no—
1384C2×D4—441no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—111no—
1392C22×C4—111no—
1393C22×C4—111no—
1394C22×C4—111no—
1395C22×C4—114no—
1396C22×C4—114no—
1397C22×C4—114no—
1398C22×C4—111no—
1399C22×C4—111no—
1400C22×C4—111no—
1401C22×C4—111no—
1402C22×C4—111no—
1403C22×C4—111no—
1404C22×C4—111no—
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—441no—
1424C22×C4—441no—
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—
1434C22×C4—441no—
1435C22×C4—441no—
1436C22×C4—441no—
1437C22×C4—4416no—
1438C22×C4—441no—
1439C22×C4C23×D1111yescharacteristic
1440C22×C4C23×D1111yescharacteristic
1441C22×C4C23×D1111yescharacteristic
1442C22×C4C23×D1111yescharacteristic
1443C22×C4C23×D1111yescharacteristic
1444C22×C4C23×D1111yescharacteristic
1445C22×C4C23×D1111yescharacteristic
1446C22×C4C23×D1111yescharacteristic
1447C22×C4C23×D1111yescharacteristic
1448C22×C4C23×D1111yescharacteristic
1449C22×C4C23×D1111yescharacteristic
1450C22×C4C23×D1111yescharacteristic
1451C22×C4C23×D1111yescharacteristic
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—114no—
1461C4⋊C4—114no—
1462C4⋊C4—114no—
1463C4⋊C4—222no—
1464C4⋊C4—222no—
1465C4⋊C4—222no—
1466C4⋊C4—222no—
1467C4⋊C4—222no—
1468C4⋊C4—222no—
1469C4⋊C4—222no—
1470C4⋊C4—222no—
1471C4⋊C4—441no—
1472C4⋊C4—441no—
1473C4⋊C4—441no—
1474C4⋊C4—441no—
1475C4⋊C4—441no—
1476C4⋊C4—441no—
1477C4⋊C4—441no—
1478C4⋊C4—441no—
1479C4⋊C4D4×D1114yes—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—222no—
1491C22⋊C4—222no—
1492C22⋊C4—222no—
1493C22⋊C4—222no—
1494C22⋊C4—222no—
1495C22⋊C4—222no—
1496C22⋊C4—222no—
1497C22⋊C4—222no—
1498C22⋊C4—222no—
1499C22⋊C4—222no—
1500C22⋊C4—222no—
1501C22⋊C4—222no—
1502C22⋊C4—222no—
1503C22⋊C4—222no—
1504C22⋊C4—222no—
1505C22⋊C4—222no—
1506C22⋊C4—222no—
1507C22⋊C4—222no—
1508C22⋊C4—222no—
1509C22⋊C4—222no—
1510C22⋊C4—222no—
1511C22⋊C4—222no—
1512C22⋊C4—222no—
1513C22⋊C4—441no—
1514C22⋊C4—441no—
1515C22⋊C4—441no—
1516C22⋊C4—441no—
1517C22⋊C4—441no—
1518C22⋊C4—441no—
1519C22⋊C4—441no—
1520C22⋊C4—441no—
1521C22⋊C4—441no—
1522C22⋊C4—441no—
1523C22⋊C4—441no—
1524C22⋊C4—441no—
1525C22⋊C4—441no—
1526C22⋊C4—441no—
1527C22⋊C4—441no—
1528C22⋊C4—441no—
1529C22⋊C4—441no—
1530C22⋊C4—441no—
1531C22⋊C4—441no—
1532C42—41no—
1533C42—441no—
1534C42—441no—
1535C42—441no—
1536C11#3670711yescharacteristic, complemented, Sylow
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—112no—
1551C23—112no—
1552C23—112no—
1553C23—112no—
1554C23—228no—
1555C23—221no—
1556C23—221no—
1557C23—221no—
1558C23—221no—
1559C23—221no—
1560C23—221no—
1561C23—221no—
1562C23—221no—
1563C23—221no—
1564C23—221no—
1565C23—221no—
1566C23—221no—
1567C23—221no—
1568C23—221no—
1569C23—221no—
1570C23—221no—
1571C23—221no—
1572C23—221no—
1573C23—221no—
1574C23—221no—
1575C23—221no—
1576C23—221no—
1577C23—221no—
1578C23—221no—
1579C23—221no—
1580C23—221no—
1581C23—221no—
1582C23—221no—
1583C23—221no—
1584C23—221no—
1585C23—221no—
1586C23—444no—
1587C23—444no—
1588C23—444no—
1589C23—444no—
1590C23—444no—
1591C23—444no—
1592C23#6704012yes—
1593C23C24×D1111yescharacteristic
1594Q8—44no—
1595Q8—44no—
1596Q8—444no—
1597Q8—444no—
1598Q8—444no—
1599Q8—444no—
1600D4—82no—
1601D4—444no—
1602D4—444no—
1603D4—444no—
1604D4—444no—
1605D4—444no—
1606D4—444no—
1607D4—882no—
1608D4—882no—
1609D4—882no—
1610D4—882no—
1611D4—882no—
1612D4—882no—
1613D4—882no—
1614D4—882no—
1615D4—882no—
1616D4—882no—
1617D4—882no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—112no—
1656C2×C4—112no—
1657C2×C4—112no—
1658C2×C4—112no—
1659C2×C4—228no—
1660C2×C4—228no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—221no—
1664C2×C4—221no—
1665C2×C4—221no—
1666C2×C4—221no—
1667C2×C4—221no—
1668C2×C4—221no—
1669C2×C4—221no—
1670C2×C4—221no—
1671C2×C4—221no—
1672C2×C4—221no—
1673C2×C4—221no—
1674C2×C4—221no—
1675C2×C4—221no—
1676C2×C4—221no—
1677C2×C4—221no—
1678C2×C4—221no—
1679C2×C4—221no—
1680C2×C4—221no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—444no—
1691C2×C4—444no—
1692C2×C4—444no—
1693C2×C4—444no—
1694C2×C4—444no—
1695C2×C4—444no—
1696C2×C4—444no—
1697C2×C4—444no—
1698C2×C4—444no—
1699C2×C4—444no—
1700C2×C4C2×D4×D1112yes—
1701C2×C4C2×D4×D1112yes—
1702C2×C4C2×D4×D1112yes—
1703C2×C4#6704212yes—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—114no—
1719C22—222no—
1720C22—222no—
1721C22—222no—
1722C22—222no—
1723C22—222no—
1724C22—222no—
1725C22—222no—
1726C22—222no—
1727C22—222no—
1728C22—4416no—
1729C22—441no—
1730C22—441no—
1731C22—441no—
1732C22—441no—
1733C22—441no—
1734C22—441no—
1735C22—441no—
1736C22—441no—
1737C22—441no—
1738C22—441no—
1739C22—441no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—441no—
1750C22—441no—
1751C22—441no—
1752C22—441no—
1753C22—441no—
1754C22C22×D4×D1111yescharacteristic
1755C22C2×#6704011yescharacteristic
1756C22C2×#6704211yescharacteristic
1757C22D11×H(5,𝔽2)11yescharacteristic
1758C22D11×H(5,𝔽2)11yescharacteristic
1759C22D11×H(5,𝔽2)11yescharacteristic
1760C22D11×2−1+411yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—222no—
1775C4—222no—
1776C4—222no—
1777C4—222no—
1778C4—441no—
1779C4—441no—
1780C4—441no—
1781C4—441no—
1782C4—441no—
1783C4—441no—
1784C4—441no—
1785C2—42no—
1786C2—81no—
1787C2—224no—
1788C2—442no—
1789C2—881no—
1790C2—881no—
1791C2—881no—
1792C2D11×#53511yescharacteristic
1793C2#1308224611yescharacteristic
1794C2#1308226611yescharacteristic
1795C2#1308283511yescharacteristic
1796C2#1308284111yescharacteristic
1797C2#1308284211yescharacteristic
1798C2#1308284411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2692C2
hypercenter#2692D11
hypocenterC11#36707
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2692

Complements

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

NH ≅ G/Ntype
1. C2×#10623160C2semidirect
2. C2×D11×C22⋊Q8C2semidirect
3. #13076899C2semidirect
4. #13076897C2semidirect
5. #13075119C2semidirect
6. #13075117C2semidirect
7. #13075114C2semidirect
8. #13075112C2semidirect
9. #13075107C2semidirect
10. #13075106C2semidirect
11. #13075105C2semidirect
12. #13074923C2semidirect
13. #13074921C2semidirect
14. #13074920C2semidirect
15. #13074918C2semidirect
16. #13074916C2semidirect
17. #13074915C2semidirect
18. #13074914C2semidirect
19. #13074913C2semidirect
20. #13074363C2semidirect
21. #13074359C2semidirect
22. #13073545C2semidirect
23. #13073543C2semidirect
24. #13072273C2semidirect
25. #13072269C2semidirect
26. #13071952C2semidirect
27. #13071949C2semidirect
28. #13071936C2semidirect
29. #13071933C2semidirect
30. #13071215C2semidirect
31. C11×#2692C2semidirect
37. C2×C11×C22⋊Q8C22semidirect
38. C2×#67000C22semidirect
40. C2×#66999C22semidirect
44. C2×#66983C22semidirect
51. C2×#66949C22semidirect
52. C2×#66949C22semidirect
56. C2×#66948C22semidirect
63. C2×#66938C22semidirect
64. C2×#66938C22semidirect
68. C2×#66937C22semidirect
69. C2×#66937C22semidirect
78. C2×#66928C22semidirect
80. C11×#398C22semidirect
81. C11×#396C22semidirect
82. C11×#395C22semidirect
84. C11×#393C22semidirect
85. C11×#391C22semidirect
87. C11×#387C22semidirect
90. C11×#385C22semidirect
93. #10622844C22semidirect
94. #10622842C22semidirect
99. #10622823C22semidirect
100. #10622607C22semidirect
101. #10622607C22semidirect
102. #10622607C22semidirect
103. #10622607C22semidirect
106. #10622604C22semidirect
107. #10622604C22semidirect
108. #10622602C22semidirect
109. #10622602C22semidirect
110. #10622602C22semidirect
115. #10622597C22semidirect
116. #10622594C22semidirect
117. #10622593C22semidirect
118. #10622592C22semidirect
119. #10622591C22semidirect
120. #10622587C22semidirect
121. #10622574C22semidirect
122. #10622574C22semidirect
127. #10622572C22semidirect
128. #10622572C22semidirect
142. #10622561C22semidirect
144. #10622560C22semidirect
148. #10622546C22semidirect
149. #10622289C22semidirect
150. #10622289C22semidirect
152. #10622286C22semidirect
153. #10622286C22semidirect
154. #10622286C22semidirect
155. #10622286C22semidirect
156. #10622286C22semidirect
157. #10622285C22semidirect
158. #10622285C22semidirect
161. #10622281C22semidirect
162. #10622281C22semidirect
163. #10622281C22semidirect
181. #10622270C22semidirect
182. #10622269C22semidirect
183. #10622268C22semidirect
184. #10622267C22semidirect
185. #10622266C22semidirect
186. #10622265C22semidirect
187. #10622259C22semidirect
188. #10622259C22semidirect
348. C4⋊C4×D11D4semidirect
649. #2692D11semidirect
861. C2×C22⋊Q8C2×D11semidirect
890. #398C2×D11semidirect
898. #396C2×D11semidirect
902. #395C2×D11semidirect
922. #393C2×D11semidirect
934. #391C2×D11semidirect
950. #387C2×D11semidirect
982. #385C2×D11semidirect
1536. C11#36707semidirect

Maximal subgroups

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

subgroupindex
C2×#106231602
C2×D11×C22⋊Q82
#130768992
#130768972
#130751192
#130751172
#130751142
#130751122
#130751072
#130751062
#130751052
#130749232
#130749212
#130749202
#130749182
#130749162
#130749152
#130749142
#130749132
#130743632
#130743592
#130735452
#130735432
#130722732
#130722692
#130719522
#130719492
#130719362
#130719332
#130712152
C11×#26922
#3670711