Finite Group Databasebeta

← #14926660

Subgroups — #14926660

Order 2816.

2642 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623188C211yesmaximal, characteristic, complemented
2C2×#10623144C211yesmaximal, characteristic, complemented
3#13076916C211yesmaximal, characteristic, complemented
4#13076914C211yesmaximal, characteristic, complemented
5#13076897C211yesmaximal, characteristic, complemented
6#13076895C211yesmaximal, characteristic, complemented
7#13074731C211yesmaximal, characteristic, complemented
8#13074717C211yesmaximal, characteristic, complemented
9#13074355C211yesmaximal, characteristic, complemented
10#13074349C211yesmaximal, characteristic, complemented
11#13073689C211yesmaximal, characteristic, complemented
12#13073688C211yesmaximal, characteristic, complemented
13#13073686C211yesmaximal, characteristic, complemented
14#13073686C211yesmaximal, characteristic, complemented
15#13073665C211yesmaximal, characteristic, complemented
16#13073664C211yesmaximal, characteristic, complemented
17#13073657C211yesmaximal, characteristic, complemented
18#13073654C211yesmaximal, characteristic, complemented
19#13073323C211yesmaximal, characteristic, complemented
20#13073321C211yesmaximal, characteristic, complemented
21#13073319C211yesmaximal, characteristic, complemented
22#13073317C211yesmaximal, characteristic, complemented
23#13072628C211yesmaximal, characteristic, complemented
24#13072618C211yesmaximal, characteristic, complemented
25#13072616C211yesmaximal, characteristic, complemented
26#13071318C211yesmaximal, characteristic, complemented
27#13071313C211yesmaximal, characteristic, complemented
28#13071128C211yesmaximal, characteristic, complemented
29C4×#66991C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D11C211yesmaximal, characteristic, complemented
31C11×#2464C211yesmaximal, characteristic, complemented
32C23×C4×D11C2211yescharacteristic
33C2×C11×#123C2211yescharacteristic
34C2×C11×#121C2211yescharacteristic
35C2×C11×#121C2211yescharacteristic
36C2×C4×D4×C11C2211yescharacteristic, complemented
37C2×#66992C2211yescharacteristic
38C2×#66992C2211yescharacteristic
39C2×#66991C2211yescharacteristic
40C2×#66991C2211yescharacteristic
41C2×#66991C2211yescharacteristic
42C2×#66991C2211yescharacteristic
43C2×#66991C2211yescharacteristic
44C2×#66990C2211yescharacteristic
45C2×#66990C2211yescharacteristic
46C2×#66990C2211yescharacteristic
47C2×#66989C2211yescharacteristic
48C2×#66989C2211yescharacteristic, complemented
49C2×#66988C2211yescharacteristic
50C2×#66983C2211yescharacteristic
51C2×#66982C2211yescharacteristic
52C2×C4×C22⋊D11C2211yescharacteristic
53C2×C4×C22⋊D11C2211yescharacteristic
54#10623188—28no—
55#10623144—28no—
56C2×#66951C2211yescharacteristic
57C2×#66951C2211yescharacteristic
58C2×#66950C2211yescharacteristic
59C2×#66949C2211yescharacteristic
60C2×#66947C2211yescharacteristic
61C2×#66946C2211yescharacteristic
62C2×#66938C2211yescharacteristic
63C2×#66938C2211yescharacteristic
64C2×#66938C2211yescharacteristic
65C2×#66938C2211yescharacteristic, complemented
66C2×#66937C2211yescharacteristic
67C2×#66937C2211yescharacteristic
68C2×#66937C2211yescharacteristic
69C2×#66937C2211yescharacteristic
70C2×#66935C2211yescharacteristic
71C2×(C22⋊D11)⋊C4C2211yescharacteristic
72C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
73C2×C22⋊C4×D11C2211yescharacteristic
74C2×C22⋊C4×D11C2211yescharacteristic
75C2×#66932C2211yescharacteristic
76C2×#66932C2211yescharacteristic
77C2×C42×D11C2211yescharacteristic
78C2×C42×D11C2211yescharacteristic
79C11×#398C2211yescharacteristic, complemented
80C11×#394C2211yescharacteristic
81C11×#392C2211yescharacteristic
82C11×#392C2211yescharacteristic, complemented
83C11×#390C2211yescharacteristic, complemented
84C11×#388C2211yescharacteristic, complemented
85C11×#388C2211yescharacteristic, complemented
86C11×#386C2211yescharacteristic
87C11×#386C2211yescharacteristic, complemented
88C11×#385C2211yescharacteristic, complemented
89C4×C11×C22⋊C4C2211yescharacteristic
90#10622836C2211yescharacteristic
91#10622836C2211yescharacteristic
92#10622836C2211yescharacteristic, complemented
93#10622836C2211yescharacteristic, complemented
94#10622836C2211yescharacteristic, complemented
95#10622835C2211yescharacteristic
96#10622835C2211yescharacteristic
97#10622834C2211yescharacteristic, complemented
98#10622833C2211yescharacteristic
99#10622833C2211yescharacteristic
100#10622833C2211yescharacteristic, complemented
101#10622826C2211yescharacteristic
102#10622826C2211yescharacteristic, complemented
103#10622825C2211yescharacteristic
104#10622823C2211yescharacteristic, complemented
105C4×C22⋊Dic11C2211yescharacteristic
106C4×C22⋊Dic11C2211yescharacteristic, complemented
107C4×C22⋊Dic11C2211yescharacteristic, complemented
108#10622604C2211yescharacteristic
109#10622603C2211yescharacteristic, complemented
110#10622602C2211yescharacteristic, complemented
111#10622600C2211yescharacteristic
112#10622600C2211yescharacteristic
113#10622600C2211yescharacteristic
114#10622597C2211yescharacteristic, complemented
115#10622597C2211yescharacteristic, complemented
116#10622593C2211yescharacteristic, complemented
117#10622592C2211yescharacteristic, complemented
118#10622591C2211yescharacteristic, complemented
119#10622590C2211yescharacteristic, complemented
120#10622586C2211yescharacteristic, complemented
121#10622585C2211yescharacteristic, complemented
122#10622574C2211yescharacteristic
123#10622574C2211yescharacteristic
124#10622573C2211yescharacteristic
125#10622572C2211yescharacteristic
126#10622572C2211yescharacteristic
127#10622570C2211yescharacteristic, complemented
128#10622570C2211yescharacteristic, complemented
129#10622569C2211yescharacteristic
130#10622569C2211yescharacteristic
131#10622569C2211yescharacteristic
132#10622569C2211yescharacteristic
133#10622569C2211yescharacteristic
134#10622569C2211yescharacteristic
135#10622569C2211yescharacteristic
136#10622569C2211yescharacteristic
137#10622569C2211yescharacteristic
138#10622569C2211yescharacteristic, complemented
139#10622566C2211yescharacteristic
140#10622565C2211yescharacteristic
141#10622564C2211yescharacteristic, complemented
142#10622564C2211yescharacteristic, complemented
143#10622564C2211yescharacteristic, complemented
144#10622564C2211yescharacteristic, complemented
145#10622564C2211yescharacteristic, complemented
146#10622562C2211yescharacteristic, complemented
147#10622562C2211yescharacteristic, complemented
148#10622562C2211yescharacteristic, complemented
149#10622559C2211yescharacteristic, complemented
150#10622558C2211yescharacteristic, complemented
151#10622558C2211yescharacteristic, complemented
152#10622557C2211yescharacteristic, complemented
153#10622557C2211yescharacteristic, complemented
154#10622557C2211yescharacteristic, complemented
155#10622555C2211yescharacteristic
156C22⋊C4×Dic11C2211yescharacteristic
157C22⋊C4×Dic11C2211yescharacteristic
158C22⋊C4×Dic11C2211yescharacteristic, complemented
159#10622553C2211yescharacteristic, complemented
160#10622553C2211yescharacteristic, complemented
161C4×(C2×D11)⋊C4C2211yescharacteristic
162C4×(C2×D11)⋊C4C2211yescharacteristic
163C4×C4⋊Dic11C2211yescharacteristic, complemented
164#10622542C2211yescharacteristic, complemented
165#10622290C2211yescharacteristic, complemented
166#10622288C2211yescharacteristic
167#10622287C2211yescharacteristic
168#10622283C2211yescharacteristic, complemented
169#10622280C2211yescharacteristic
170#10622280C2211yescharacteristic
171#10622280C2211yescharacteristic
172#10622279C2211yescharacteristic
173#10622279C2211yescharacteristic
174#10622279C2211yescharacteristic, complemented
175#10622278C2211yescharacteristic
176#10622278C2211yescharacteristic
177#10622278C2211yescharacteristic
178D11×#95C2211yescharacteristic
179D11×#95C2211yescharacteristic
180#10622269C2211yescharacteristic, complemented
181#10622269C2211yescharacteristic, complemented
182#10622269C2211yescharacteristic, complemented
183#10622267C2211yescharacteristic, complemented
184#10622266C2211yescharacteristic, complemented
185#10622265C2211yescharacteristic, complemented
186#10622263C2211yescharacteristic, complemented
187#10622262C2211yescharacteristic, complemented
188#10622259C2211yescharacteristic, complemented
189C24×D11C2311yescharacteristic
190C22×D4×C11C2311yescharacteristic
191C22×D4×C11C2311yescharacteristic
192C22×D4×C11C2311yescharacteristic
193C22×D4×C11C2311yescharacteristic
194C22×D4×C11C2311yescharacteristic
195C22×D4×C11C2311yescharacteristic
196C23×C4×C11C2311yescharacteristic
197C23×C4×C11C2311yescharacteristic
198C23×C4×C11C2311yescharacteristic
199C22×C22⋊D11C2311yescharacteristic
200C22×C22⋊D11C2311yescharacteristic
201C22×C22⋊D11C2311yescharacteristic
202C22×C22⋊D11C2311yescharacteristic
203C22×C22⋊D11C2311yescharacteristic
204C22×C22⋊D11C2311yescharacteristic
205C22×C22⋊D11C2311yescharacteristic
206C22×C22⋊D11C2311yescharacteristic
207C22×C22⋊D11C2311yescharacteristic
208C22×C22⋊D11C2311yescharacteristic
209C23×Dic11C2311yescharacteristic
210C23×Dic11C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×D44C2311yescharacteristic
213C22×C4×D11—24no—
214C22×C4×D11—42no—
215C22×C4×D11—42no—
216C22×C4×D11C2311yescharacteristic
217C22×C4×D11C2311yescharacteristic
218C22×C4×D11C2311yescharacteristic
219C22×C4×D11C2311yescharacteristic
220C22×C4×D11C2311yescharacteristic
221C22×C4×D11C2311yescharacteristic
222C22×C4×D11C2311yescharacteristic
223C22×C4×D11C2311yescharacteristic
224C22×C4×D11C2311yescharacteristic
225C22×Dic22C2311yescharacteristic
226C22×Dic22C2311yescharacteristic
227C11×#123—24no—
228C11×#121—24no—
229C11×#121—42no—
230C4×D4×C11—42no—
231C2×C11×C4⋊C4C2311yescharacteristic
232C2×C11×C4⋊C4C2311yescharacteristic
233C2×C11×C4⋊C4C2311yescharacteristic
234C2×C11×C4⋊C4C2311yescharacteristic
235C2×C11×C4⋊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×C11×C22⋊C4C2311yescharacteristic
246C2×C11×C22⋊C4C2311yescharacteristic
247C2×C11×C22⋊C4C2311yescharacteristic
248C2×C11×C22⋊C4C2311yescharacteristic
249C2×C42×C11C2311yescharacteristic
250C2×C42×C11C2311yescharacteristic
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
260C2×C22⋊Dic11C2311yescharacteristic
261C2×C22⋊Dic11C2311yescharacteristic
262C2×C22⋊Dic11C2311yescharacteristic
263C2×C22⋊Dic11C2311yescharacteristic
264C2×C22⋊Dic11C2311yescharacteristic
265C2×C22⋊Dic11C2311yescharacteristic
266C2×C22⋊Dic11C2311yescharacteristic
267C2×C22⋊Dic11C2311yescharacteristic
268C2×C22⋊Dic11C2311yescharacteristic
269C2×C22⋊Dic11C2311yescharacteristic
270#66992—24no—
271#66992—42no—
272#66991—24no—
273#66991—24no—
274#66991—24no—
275#66991—24no—
276#66991—42no—
277#66990—24no—
278#66990—24no—
279#66990—24no—
280#66989—24no—
281#66989—42no—
282#66988—24no—
283#66983—24no—
284#66982—24no—
285C4×C22⋊D11—24no—
286C4×C22⋊D11—24no—
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×C4⋊Dic11C2311yescharacteristic
308C2×C4⋊Dic11C2311yescharacteristic
309C2×C4⋊Dic11C2311yescharacteristic
310C2×C4⋊Dic11C2311yescharacteristic
311C2×C4⋊Dic11C2311yescharacteristic
312C2×C4⋊Dic11C2311yescharacteristic
313C2×C4⋊Dic11C2311yescharacteristic
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×Dic11⋊C4C2311yescharacteristic
323C2×Dic11⋊C4C2311yescharacteristic
324C2×Dic11⋊C4C2311yescharacteristic
325C2×Dic11⋊C4C2311yescharacteristic
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
336#66951—24no—
337#66951—24no—
338#66950—24no—
339#66949—24no—
340#66947—24no—
341#66946—24no—
342#66938—24no—
343#66938—24no—
344#66938—24no—
345#66938—42no—
346#66937—24no—
347#66937—24no—
348#66937—24no—
349#66937—42no—
350#66935—24no—
351(C22⋊D11)⋊C4—24no—
352(C22⋊D11)⋊C4—42no—
353C22⋊C4×D11—24no—
354C22⋊C4×D11D418yescomplemented
355#66932—24no—
356#66932—24no—
357C42×D11—42no—
358C42×D11—42no—
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#35003—111nomaximal, Sylow
392C24×C11C2411yescharacteristic
393C24×C11C2411yescharacteristic
394C24×C11C2411yescharacteristic
395C24×C11C2411yescharacteristic
396C23×D11—22no—
397C23×D11—22no—
398C23×D11—41no—
399C23×D11—41no—
400C23×D11—41no—
401C23×D11—41no—
402C23×D11C2×D414yes—
403C23×D11C2411yescharacteristic
404C23×D11C2411yescharacteristic
405C23×D11C2411yescharacteristic
406C2×D4×C11—22no—
407C2×D4×C11—22no—
408C2×D4×C11—22no—
409C2×D4×C11—22no—
410C2×D4×C11—22no—
411C2×D4×C11—22no—
412C2×D4×C11—41no—
413C2×D4×C11—41no—
414C2×D4×C11—41no—
415C2×D4×C11—41no—
416C2×D4×C11—41no—
417C2×D4×C11—41no—
418C2×D4×C11—41no—
419C2×D4×C11—41no—
420C2×D4×C11—41no—
421C2×D4×C11—41no—
422C2×D4×C11—41no—
423C2×D4×C11—41no—
424C22×C4×C11—22no—
425C22×C4×C11—22no—
426C22×C4×C11—22no—
427C22×C4×C11—22no—
428C22×C4×C11—41no—
429C22×C4×C11—41no—
430C22×C4×C11—41no—
431C22×C4×C11—41no—
432C22×C4×C11—41no—
433C22×C4×C11C2411yescharacteristic
434C22×C4×C11C2411yescharacteristic
435C22×C4×C11C2411yescharacteristic
436C22×C4×C11C2411yescharacteristic
437C22×C4×C11C2411yescharacteristic
438C22×C4×C11C2411yescharacteristic
439C22×C4×C11C2411yescharacteristic
440C22×C4×C11C2411yescharacteristic
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2411yescharacteristic
443C22×C4×C11C2411yescharacteristic
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—22no—
451C2×C22⋊D11—22no—
452C2×C22⋊D11—22no—
453C2×C22⋊D11—22no—
454C2×C22⋊D11—22no—
455C2×C22⋊D11—22no—
456C2×C22⋊D11—22no—
457C2×C22⋊D11—22no—
458C2×C22⋊D11—22no—
459C2×C22⋊D11—22no—
460C2×C22⋊D11—41no—
461C2×C22⋊D11—41no—
462C2×C22⋊D11—41no—
463C2×C22⋊D11—41no—
464C2×C22⋊D11—41no—
465C2×C22⋊D11—41no—
466C2×C22⋊D11—41no—
467C2×C22⋊D11—41no—
468C2×C22⋊D11—41no—
469C2×C22⋊D11—41no—
470C2×C22⋊D11—41no—
471C2×C22⋊D11—41no—
472C2×C22⋊D11—41no—
473C2×C22⋊D11—41no—
474C22×Dic11—22no—
475C22×Dic11—22no—
476C22×Dic11—22no—
477C22×Dic11—41no—
478C22×Dic11—41no—
479C22×Dic11—41no—
480C22×Dic11C2411yescharacteristic
481C22×Dic11C2411yescharacteristic
482C22×Dic11C2411yescharacteristic
483C22×Dic11C2411yescharacteristic
484C22×Dic11C2411yescharacteristic
485C22×Dic11C2411yescharacteristic
486C22×Dic11C2411yescharacteristic
487C22×Dic11C2411yescharacteristic
488C22×Dic11C2411yescharacteristic
489C22×Dic11C2411yescharacteristic
490C22×Dic11C2411yescharacteristic
491C22×Dic11C2411yescharacteristic
492C22×Dic11C2411yescharacteristic
493C2×D44—22no—
494C2×D44—22no—
495C2×D44—22no—
496C2×D44—22no—
497C2×D44—41no—
498C2×D44—41no—
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—41no—
509C2×C4×D11—41no—
510C2×C4×D11—41no—
511C2×C4×D11—41no—
512C2×C4×D11—41no—
513C2×C4×D11—41no—
514C2×C4×D11—41no—
515C2×C4×D11—41no—
516C2×C4×D11—41no—
517C2×C4×D11—41no—
518C2×C4×D11—41no—
519C2×C4×D11—41no—
520C2×C4×D11—41no—
521C2×C4×D11—41no—
522C2×C4×D11—416no—
523C2×C4×D11C2×D414yes—
524C2×C4×D11C2×D414yes—
525C2×C4×D11#4114yes—
526C2×C4×D11#4114yes—
527C2×Dic22—22no—
528C2×Dic22—22no—
529C2×Dic22—41no—
530C2×Dic22—41no—
531C2×Dic22—41no—
532C2×Dic22—41no—
533C11×C4⋊C4—22no—
534C11×C4⋊C4—22no—
535C11×C4⋊C4—22no—
536C11×C4⋊C4—41no—
537C11×C4⋊C4—41no—
538C11×C22⋊C4—22no—
539C11×C22⋊C4—22no—
540C11×C22⋊C4—22no—
541C11×C22⋊C4—22no—
542C11×C22⋊C4—22no—
543C11×C22⋊C4—22no—
544C11×C22⋊C4—22no—
545C11×C22⋊C4—22no—
546C11×C22⋊C4—22no—
547C11×C22⋊C4—41no—
548C11×C22⋊C4—41no—
549C11×C22⋊C4—41no—
550C11×C22⋊C4C2×D414yes—
551C42×C11—22no—
552C42×C11—41no—
553C22⋊Dic11—22no—
554C22⋊Dic11—22no—
555C22⋊Dic11—22no—
556C22⋊Dic11—22no—
557C22⋊Dic11—22no—
558C22⋊Dic11—22no—
559C22⋊Dic11—22no—
560C22⋊Dic11—22no—
561C22⋊Dic11—22no—
562C22⋊Dic11—22no—
563C22⋊Dic11—22no—
564C22⋊Dic11—22no—
565C22⋊Dic11—22no—
566C22⋊Dic11—22no—
567C22⋊Dic11—22no—
568C22⋊Dic11—41no—
569C22⋊Dic11—41no—
570C22⋊Dic11—41no—
571C22⋊Dic11C2×D414yes—
572(C2×D11)⋊C4—22no—
573(C2×D11)⋊C4—22no—
574(C2×D11)⋊C4—22no—
575(C2×D11)⋊C4—22no—
576(C2×D11)⋊C4—22no—
577(C2×D11)⋊C4—22no—
578(C2×D11)⋊C4—22no—
579(C2×D11)⋊C4—22no—
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—41no—
589(C2×D11)⋊C4—41no—
590(C2×D11)⋊C4C2×D414yes—
591(C2×D11)⋊C4C2×D414yes—
592C4⋊Dic11—22no—
593C4⋊Dic11—22no—
594C4⋊Dic11—22no—
595C4⋊Dic11—22no—
596C4⋊Dic11—22no—
597C4⋊Dic11—41no—
598C4⋊Dic11—41no—
599Dic11⋊C4—22no—
600Dic11⋊C4—22no—
601Dic11⋊C4—22no—
602Dic11⋊C4—22no—
603Dic11⋊C4—22no—
604Dic11⋊C4—22no—
605Dic11⋊C4—22no—
606Dic11⋊C4—22no—
607Dic11⋊C4—41no—
608Dic11⋊C4—41no—
609Dic11⋊C4—41no—
610Dic11⋊C4—41no—
611C4×Dic11—22no—
612C4×Dic11—22no—
613C4×Dic11—22no—
614C4×Dic11—22no—
615C4×Dic11—22no—
616C4×Dic11—22no—
617C4×Dic11—22no—
618C4×Dic11—41no—
619C4×Dic11—41no—
620C4×Dic11—41no—
621C2×#538—111no—
622C2×#538—111no—
623#2850—111no—
624#2850—111no—
625#2847—111no—
626#2847—111no—
627#2659—111no—
628#2656—111no—
629#2617—111no—
630#2617—111no—
631#2555—111no—
632#2555—111no—
633#2555—111no—
634#2555—111no—
635#2553—111no—
636#2553—111no—
637#2553—111no—
638#2553—111no—
639#2521—111no—
640#2521—111no—
641#2521—111no—
642#2521—111no—
643#2464—111no—
644#2464—111no—
645#2464—111no—
646#2464D1111yescharacteristic, complemented
647#2325—111no—
648#2325—111no—
649C4×#121—111no—
650C4×#121—111no—
651C2×C4×C22⋊C4—111no—
652C23×C11—21no—
653C23×C11—21no—
654C23×C11—21no—
655C23×C11—21no—
656C23×C11—21no—
657C23×C11—21no—
658C23×C11—21no—
659C23×C11—21no—
660C23×C11—21no—
661C23×C11—21no—
662C23×C11—21no—
663C23×C11—21no—
664C23×C11—21no—
665C23×C11—21no—
666C23×C11—21no—
667C23×C11—21no—
668C23×C11—21no—
669C23×C11—21no—
670C23×C11—21no—
671C23×C11—21no—
672C23×C11—21no—
673C23×C11—21no—
674C23×C11—21no—
675C23×C11—21no—
676C23×C11—21no—
677C23×C11—21no—
678C23×C11—21no—
679C23×C11C22×D412yes—
680C23×C11C2511yescharacteristic
681C22×D11—21no—
682C22×D11—21no—
683C22×D11—21no—
684C22×D11—21no—
685C22×D11—21no—
686C22×D11—21no—
687C22×D11—21no—
688C22×D11—21no—
689C22×D11—21no—
690C22×D11—21no—
691C22×D11—28no—
692C22×D11—21no—
693C22×D11—21no—
694C22×D11—21no—
695C22×D11—21no—
696C22×D11—21no—
697C22×D11—21no—
698C22×D11—21no—
699C22×D11—44no—
700C22×D11—44no—
701C22×D11—44no—
702C22×D11—44no—
703C22×D11—44no—
704C22×D11—44no—
705C22×D11C22×D412yes—
706C22×D11C22×D412yes—
707C22×D11C2×#4112yes—
708C22×D11C2×#4112yes—
709D4×C11—44no—
710D4×C11—82no—
711D4×C11—82no—
712D4×C11—82no—
713D4×C11—82no—
714D4×C11—82no—
715C2×C4×C11—21no—
716C2×C4×C11—21no—
717C2×C4×C11—21no—
718C2×C4×C11—21no—
719C2×C4×C11—21no—
720C2×C4×C11—21no—
721C2×C4×C11—21no—
722C2×C4×C11—21no—
723C2×C4×C11—21no—
724C2×C4×C11—21no—
725C2×C4×C11—21no—
726C2×C4×C11—21no—
727C2×C4×C11—21no—
728C2×C4×C11—21no—
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—44no—
744C2×C4×C11—82no—
745C2×C4×C11—82no—
746C2×C4×C11C22×D412yes—
747C2×C4×C11C22×D412yes—
748C2×C4×C11C2×#4112yes—
749C2×C4×C11C2×#4112yes—
750C2×C4×C11H(5,𝔽2)12yes—
751C22⋊D11—44no—
752C22⋊D11—44no—
753C22⋊D11—44no—
754C22⋊D11—44no—
755C22⋊D11—82no—
756C22⋊D11—82no—
757C22⋊D11—82no—
758C22⋊D11—82no—
759C22⋊D11—82no—
760C22⋊D11—82no—
761C2×Dic11—21no—
762C2×Dic11—21no—
763C2×Dic11—21no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—21no—
772C2×Dic11—21no—
773C2×Dic11—21no—
774C2×Dic11—21no—
775C2×Dic11—21no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—21no—
794C2×Dic11—21no—
795C2×Dic11—44no—
796C2×Dic11—82no—
797C2×Dic11C22×D412yes—
798C2×Dic11C22×D412yes—
799C2×Dic11C2×#4112yes—
800C2×Dic11C2×#4112yes—
801C2×Dic11H(5,𝔽2)12yes—
802D44—44no—
803D44—82no—
804C4×D11—28no—
805C4×D11—44no—
806C4×D11—44no—
807C4×D11—44no—
808C4×D11—44no—
809C4×D11—44no—
810C4×D11—44no—
811C4×D11—44no—
812C4×D11—82no—
813Dic22—82no—
814Dic22—82no—
815C24×C4—111no—
816#538—228no—
817#538—228no—
818C2×#126—111no—
819C2×#126—111no—
820C2×#126—111no—
821C2×#126—111no—
822C2×#124—111no—
823C2×#124—111no—
824C2×#124—111no—
825C2×#124—111no—
826C2×#124—111no—
827C2×#124—111no—
828C2×#123—111no—
829C2×#123—111no—
830C2×#123—111no—
831C2×#123C2×D1111yescharacteristic
832C2×C22⋊Q8—111no—
833C2×C22⋊Q8—111no—
834C2×#121—111no—
835C2×#121—111no—
836C2×#121—111no—
837C2×#121—111no—
838C2×#121—111no—
839C2×#121—111no—
840C2×#121—111no—
841C2×#121—111no—
842C2×#121—111no—
843C2×#121—111no—
844C2×#121—111no—
845C2×#121—111no—
846C2×#121C2×D1111yescharacteristic
847C2×#121C2×D1111yescharacteristic
848C2×#120—111no—
849C2×#120—111no—
850C2×#120—111no—
851C2×#120—111no—
852C2×C4×D4—111no—
853C2×C4×D4—111no—
854C2×C4×D4—111no—
855C2×C4×D4—111no—
856C2×C4×D4—111no—
857C2×C4×D4C2×D1111yescharacteristic, complemented
858C22×C22⋊C4—111no—
859C22×C22⋊C4—111no—
860C22×C42—111no—
861C22×C42—111no—
862#399—111no—
863#399—111no—
864#399—111no—
865#399—111no—
866#398—111no—
867#398—111no—
868#398—111no—
869#398C2×D1111yescharacteristic, complemented
870#397—111no—
871#397—111no—
872#397—111no—
873#397—111no—
874#395—111no—
875#395—111no—
876#395—111no—
877#395—111no—
878#394—111no—
879#394—111no—
880#394—111no—
881#394—111no—
882#394—111no—
883#394—111no—
884#394—111no—
885#394C2×D1111yescharacteristic
886#392—111no—
887#392—111no—
888#392—111no—
889#392—111no—
890#392—111no—
891#392—111no—
892#392C2×D1111yescharacteristic
893#392C2×D1111yescharacteristic, complemented
894#391—111no—
895#391—111no—
896#390—111no—
897#390—111no—
898#390—111no—
899#390C2×D1111yescharacteristic, complemented
900#389—111no—
901#389—111no—
902#388—111no—
903#388—111no—
904#388—111no—
905#388—111no—
906#388—111no—
907#388—111no—
908#388—111no—
909#388—111no—
910#388—111no—
911#388—111no—
912#388—111no—
913#388—111no—
914#388—111no—
915#388—111no—
916#388C2×D1111yescharacteristic, complemented
917#388C2×D1111yescharacteristic, complemented
918#387—111no—
919#387—111no—
920#387—111no—
921#387—111no—
922#386—111no—
923#386—111no—
924#386—111no—
925#386—111no—
926#386—111no—
927#386—111no—
928#386—111no—
929#386—111no—
930#386—111no—
931#386—111no—
932#386—111no—
933#386—111no—
934#386—111no—
935#386—111no—
936#386—111no—
937#386—111no—
938#386—111no—
939#386—111no—
940#386C2×D1111yescharacteristic
941#386C2×D1111yescharacteristic, complemented
942#385—111no—
943#385—111no—
944#385—111no—
945#385C2×D1111yescharacteristic, complemented
946#382—111no—
947#382—111no—
948#380—111no—
949#380—111no—
950#380—111no—
951#380—111no—
952#380—111no—
953#380—111no—
954#380—111no—
955#380—111no—
956C4×C4⋊C4—111no—
957C4×C4⋊C4—111no—
958C4×C22⋊C4—111no—
959C4×C22⋊C4—111no—
960C4×C22⋊C4—111no—
961C4×C22⋊C4—111no—
962C4×C22⋊C4—111no—
963C4×C22⋊C4—111no—
964C4×C22⋊C4—111no—
965C4×C22⋊C4—111no—
966C4×C22⋊C4—111no—
967C4×C22⋊C4—111no—
968C4×C22⋊C4—111no—
969C4×C22⋊C4C2×D1111yescharacteristic
970C2×#95—111no—
971C2×#95—111no—
972C22×C11—22no—
973C22×C11—22no—
974C22×C11—22no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11—41no—
979C22×C11—41no—
980C22×C11—41no—
981C22×C11—41no—
982C22×C11—41no—
983C22×C11—41no—
984C22×C11—41no—
985C22×C11—41no—
986C22×C11—41no—
987C22×C11—41no—
988C22×C11—41no—
989C22×C11—41no—
990C22×C11—41no—
991C22×C11—41no—
992C22×C11—41no—
993C22×C11—41no—
994C22×C11—41no—
995C22×C11—41no—
996C22×C11—41no—
997C22×C11—41no—
998C22×C11—41no—
999C22×C11—41no—
1000C22×C11C23×D411yescharacteristic
1001C22×C11C22×#4111yescharacteristic
1002C22×C11C22×#4111yescharacteristic
1003C22×C11C2×H(5,𝔽2)11yescharacteristic
1004C22×C11C2×H(5,𝔽2)11yescharacteristic
1005C22×C11#58511yescharacteristic
1006C22×C11#58511yescharacteristic
1007C2×D11—22no—
1008C2×D11—22no—
1009C2×D11—22no—
1010C2×D11—22no—
1011C2×D11—22no—
1012C2×D11—22no—
1013C2×D11—22no—
1014C2×D11—22no—
1015C2×D11—22no—
1016C2×D11—416no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—41no—
1022C2×D11—41no—
1023C2×D11—41no—
1024C2×D11—41no—
1025C2×D11—41no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11#53214yes—
1029C4×C11—22no—
1030C4×C11—22no—
1031C4×C11—22no—
1032C4×C11—22no—
1033C4×C11—22no—
1034C4×C11—41no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040Dic11—22no—
1041Dic11—22no—
1042Dic11—22no—
1043Dic11—22no—
1044Dic11—22no—
1045Dic11—41no—
1046Dic11—41no—
1047Dic11—41no—
1048Dic11—41no—
1049Dic11—41no—
1050Dic11—41no—
1051Dic11—41no—
1052Dic11—41no—
1053C25—111no—
1054C22×Q8—111no—
1055C22×Q8—111no—
1056C22×D4—111no—
1057C22×D4—111no—
1058C22×D4—111no—
1059C22×D4—111no—
1060C22×D4—111no—
1061C22×D4—111no—
1062C22×D4—111no—
1063C22×D4—111no—
1064C22×D4—111no—
1065C22×D4—111no—
1066C22×D4—111no—
1067C22×D4—111no—
1068C22×D4C22×D1111yescharacteristic
1069C22×D4C22×D1111yescharacteristic
1070C22×D4C22×D1111yescharacteristic
1071C22×D4C22×D1111yescharacteristic
1072C22×D4C22×D1111yescharacteristic
1073C22×D4C22×D1111yescharacteristic
1074C23×C4—111no—
1075C23×C4—111no—
1076C23×C4—111no—
1077C23×C4—111no—
1078C23×C4—111no—
1079C23×C4—111no—
1080C23×C4—111no—
1081C23×C4—111no—
1082C23×C4—111no—
1083C23×C4—111no—
1084C23×C4—111no—
1085C23×C4—224no—
1086C23×C4—442no—
1087C23×C4—442no—
1088C23×C4C22×D1111yescharacteristic
1089C23×C4C22×D1111yescharacteristic
1090C23×C4C22×D1111yescharacteristic
1091#126—224no—
1092#126—224no—
1093#126—224no—
1094#126—224no—
1095#124—224no—
1096#124—224no—
1097#124—224no—
1098#124—224no—
1099#124—442no—
1100#124—442no—
1101#123—24no—
1102#123—224no—
1103#123—224no—
1104#123—224no—
1105C22⋊Q8—224no—
1106C22⋊Q8—224no—
1107#121—24no—
1108#121—42no—
1109#121—224no—
1110#121—224no—
1111#121—224no—
1112#121—224no—
1113#121—224no—
1114#121—224no—
1115#121—224no—
1116#121—224no—
1117#121—224no—
1118#121—442no—
1119#121—442no—
1120#121—442no—
1121#120—224no—
1122#120—224no—
1123#120—224no—
1124#120—224no—
1125C4×D4—42no—
1126C4×D4—224no—
1127C4×D4—224no—
1128C4×D4—224no—
1129C4×D4—224no—
1130C4×D4—442no—
1131C2×C4⋊C4—111no—
1132C2×C4⋊C4—111no—
1133C2×C4⋊C4—111no—
1134C2×C4⋊C4—111no—
1135C2×C4⋊C4—111no—
1136C2×C4⋊C4—111no—
1137C2×C4⋊C4—111no—
1138C2×C4⋊C4—111no—
1139C2×C4⋊C4—111no—
1140C2×C4⋊C4—111no—
1141C2×C4⋊C4—111no—
1142C2×C4⋊C4—111no—
1143C2×C4⋊C4—111no—
1144C2×C4⋊C4—111no—
1145C2×C4⋊C4—111no—
1146C2×C4⋊C4—111no—
1147C2×C4⋊C4—111no—
1148C2×C4⋊C4—111no—
1149C2×C4⋊C4—111no—
1150C2×C4⋊C4C22×D1111yescharacteristic
1151C2×C4⋊C4C22×D1111yescharacteristic
1152C2×C4⋊C4C22×D1111yescharacteristic
1153C2×C4⋊C4C22×D1111yescharacteristic
1154C2×C4⋊C4C22×D1111yescharacteristic
1155C2×C22⋊C4—111no—
1156C2×C22⋊C4—111no—
1157C2×C22⋊C4—111no—
1158C2×C22⋊C4—118no—
1159C2×C22⋊C4—111no—
1160C2×C22⋊C4—111no—
1161C2×C22⋊C4—111no—
1162C2×C22⋊C4—111no—
1163C2×C22⋊C4—111no—
1164C2×C22⋊C4—111no—
1165C2×C22⋊C4—111no—
1166C2×C22⋊C4—111no—
1167C2×C22⋊C4—111no—
1168C2×C22⋊C4—111no—
1169C2×C22⋊C4—111no—
1170C2×C22⋊C4—111no—
1171C2×C22⋊C4—111no—
1172C2×C22⋊C4—111no—
1173C2×C22⋊C4—111no—
1174C2×C22⋊C4—111no—
1175C2×C22⋊C4—111no—
1176C2×C22⋊C4—111no—
1177C2×C22⋊C4—111no—
1178C2×C22⋊C4—111no—
1179C2×C22⋊C4—111no—
1180C2×C22⋊C4—111no—
1181C2×C22⋊C4—111no—
1182C2×C22⋊C4—111no—
1183C2×C22⋊C4—111no—
1184C2×C22⋊C4—111no—
1185C2×C22⋊C4—111no—
1186C2×C22⋊C4—111no—
1187C2×C22⋊C4—111no—
1188C2×C22⋊C4—111no—
1189C2×C22⋊C4—111no—
1190C2×C22⋊C4—111no—
1191C2×C22⋊C4—111no—
1192C2×C22⋊C4—111no—
1193C2×C22⋊C4—111no—
1194C2×C22⋊C4—111no—
1195C2×C22⋊C4—224no—
1196C2×C22⋊C4C22×D1111yescharacteristic
1197C2×C22⋊C4C22×D1111yescharacteristic
1198C2×C22⋊C4C22×D1111yescharacteristic
1199C2×C22⋊C4C22×D1111yescharacteristic
1200C2×C22⋊C4C22×D1111yescharacteristic
1201C2×C22⋊C4C22×D1111yescharacteristic
1202C2×C22⋊C4C22×D1111yescharacteristic
1203C2×C22⋊C4C22×D1111yescharacteristic
1204C2×C22⋊C4C22×D1111yescharacteristic
1205C2×C22⋊C4C22×D1111yescharacteristic
1206C2×C22⋊C4C22×D1111yescharacteristic
1207C2×C22⋊C4C22×D1111yescharacteristic
1208C2×C22⋊C4C22×D1111yescharacteristic
1209C2×C42—111no—
1210C2×C42—111no—
1211C2×C42—111no—
1212C2×C42—111no—
1213C2×C42—111no—
1214C2×C42—111no—
1215C2×C42—111no—
1216C2×C42—111no—
1217C2×C42—111no—
1218C2×C42—111no—
1219C2×C42—442no—
1220C2×C42—442no—
1221C2×C42C22×D1111yescharacteristic
1222C2×C42C22×D1111yescharacteristic
1223#95—111no—
1224#95—111no—
1225#95—111no—
1226#95—111no—
1227#95—111no—
1228#95—111no—
1229#95—111no—
1230#95—111no—
1231#95—111no—
1232#95—111no—
1233#95—111no—
1234#95—111no—
1235#95—111no—
1236#95—111no—
1237#95—111no—
1238#95—111no—
1239#95—111no—
1240#95—111no—
1241#95—111no—
1242#95—111no—
1243#95—111no—
1244#95—111no—
1245#95—111no—
1246#95—111no—
1247#95—111no—
1248#95—111no—
1249#95C22×D1111yescharacteristic
1250#95C22×D1111yescharacteristic
1251#95C22×D1111yescharacteristic
1252#95C22×D1111yescharacteristic
1253#95C22×D1111yescharacteristic
1254#95C22×D1111yescharacteristic
1255C2×C11—42no—
1256C2×C11—81no—
1257C2×C11—81no—
1258C2×C11—81no—
1259C2×C11C2×#53211yescharacteristic
1260C2×C11#345911yescharacteristic
1261C2×C11#346011yescharacteristic
1262C2×C11#349011yescharacteristic
1263C2×C11#349311yescharacteristic
1264C2×C11#349611yescharacteristic
1265C2×C11#349611yescharacteristic
1266D11—24no—
1267D11—42no—
1268D11—81no—
1269C24—111no—
1270C24—111no—
1271C24—114no—
1272C24—111no—
1273C24—222no—
1274C24—222no—
1275C24—441no—
1276C24—441no—
1277C24—441no—
1278C24—441no—
1279C24C23×D1111yescharacteristic
1280C24C23×D1111yescharacteristic
1281C24C23×D1111yescharacteristic
1282C24C23×D1111yescharacteristic
1283C2×Q8—222no—
1284C2×Q8—222no—
1285C2×Q8—441no—
1286C2×Q8—441no—
1287C2×Q8—441no—
1288C2×Q8—441no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—222no—
1308C2×D4—222no—
1309C2×D4—222no—
1310C2×D4—222no—
1311C2×D4—222no—
1312C2×D4—222no—
1313C2×D4—222no—
1314C2×D4—222no—
1315C2×D4—222no—
1316C2×D4—222no—
1317C2×D4—222no—
1318C2×D4—222no—
1319C2×D4—222no—
1320C2×D4—222no—
1321C2×D4—222no—
1322C2×D4—222no—
1323C2×D4—222no—
1324C2×D4—222no—
1325C2×D4—222no—
1326C2×D4—222no—
1327C2×D4—441no—
1328C2×D4—441no—
1329C2×D4—441no—
1330C2×D4—441no—
1331C2×D4—441no—
1332C2×D4—441no—
1333C2×D4—441no—
1334C2×D4—441no—
1335C2×D4—441no—
1336C2×D4—441no—
1337C2×D4—441no—
1338C2×D4—441no—
1339C2×D4—441no—
1340C2×D4—441no—
1341C2×D4—441no—
1342C2×D4—441no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—111no—
1353C22×C4—111no—
1354C22×C4—111no—
1355C22×C4—111no—
1356C22×C4—111no—
1357C22×C4—114no—
1358C22×C4—114no—
1359C22×C4—114no—
1360C22×C4—114no—
1361C22×C4—111no—
1362C22×C4—111no—
1363C22×C4—111no—
1364C22×C4—111no—
1365C22×C4—111no—
1366C22×C4—111no—
1367C22×C4—111no—
1368C22×C4—111no—
1369C22×C4—222no—
1370C22×C4—222no—
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—441no—
1382C22×C4—441no—
1383C22×C4—441no—
1384C22×C4—441no—
1385C22×C4—441no—
1386C22×C4—441no—
1387C22×C4—441no—
1388C22×C4—441no—
1389C22×C4—441no—
1390C22×C4—441no—
1391C22×C4—441no—
1392C22×C4—441no—
1393C22×C4—441no—
1394C22×C4—441no—
1395C22×C4—4416no—
1396C22×C4—441no—
1397C22×C4—441no—
1398C22×C4—441no—
1399C22×C4C23×D1111yescharacteristic
1400C22×C4C23×D1111yescharacteristic
1401C22×C4C23×D1111yescharacteristic
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404C22×C4C23×D1111yescharacteristic
1405C22×C4C23×D1111yescharacteristic
1406C22×C4C23×D1111yescharacteristic
1407C22×C4C23×D1111yescharacteristic
1408C22×C4C23×D1111yescharacteristic
1409C22×C4C23×D1111yescharacteristic
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—222no—
1416C4⋊C4—222no—
1417C4⋊C4—222no—
1418C4⋊C4—222no—
1419C4⋊C4—222no—
1420C4⋊C4—222no—
1421C4⋊C4—222no—
1422C4⋊C4—222no—
1423C4⋊C4—222no—
1424C4⋊C4—222no—
1425C4⋊C4—222no—
1426C4⋊C4—222no—
1427C4⋊C4—222no—
1428C4⋊C4—441no—
1429C4⋊C4—441no—
1430C4⋊C4—441no—
1431C4⋊C4—441no—
1432C4⋊C4—441no—
1433C4⋊C4—441no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—114no—
1447C22⋊C4—114no—
1448C22⋊C4—114no—
1449C22⋊C4—222no—
1450C22⋊C4—222no—
1451C22⋊C4—222no—
1452C22⋊C4—222no—
1453C22⋊C4—222no—
1454C22⋊C4—222no—
1455C22⋊C4—222no—
1456C22⋊C4—222no—
1457C22⋊C4—222no—
1458C22⋊C4—222no—
1459C22⋊C4—222no—
1460C22⋊C4—222no—
1461C22⋊C4—222no—
1462C22⋊C4—222no—
1463C22⋊C4—222no—
1464C22⋊C4—222no—
1465C22⋊C4—222no—
1466C22⋊C4—222no—
1467C22⋊C4—222no—
1468C22⋊C4—222no—
1469C22⋊C4—222no—
1470C22⋊C4—222no—
1471C22⋊C4—222no—
1472C22⋊C4—222no—
1473C22⋊C4—222no—
1474C22⋊C4—222no—
1475C22⋊C4—222no—
1476C22⋊C4—222no—
1477C22⋊C4—222no—
1478C22⋊C4—222no—
1479C22⋊C4—222no—
1480C22⋊C4—441no—
1481C22⋊C4—441no—
1482C22⋊C4—441no—
1483C22⋊C4—441no—
1484C22⋊C4—441no—
1485C22⋊C4D4×D1114yes—
1486C42—22no—
1487C42—41no—
1488C42—222no—
1489C42—222no—
1490C42—222no—
1491C42—222no—
1492C42—222no—
1493C42—222no—
1494C42—222no—
1495C42—441no—
1496C42—441no—
1497C42—441no—
1498C11#3500311yescharacteristic, complemented, Sylow
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—112no—
1527C23—112no—
1528C23—112no—
1529C23—112no—
1530C23—228no—
1531C23—221no—
1532C23—221no—
1533C23—221no—
1534C23—221no—
1535C23—221no—
1536C23—221no—
1537C23—221no—
1538C23—221no—
1539C23—221no—
1540C23—221no—
1541C23—221no—
1542C23—221no—
1543C23—221no—
1544C23—221no—
1545C23—221no—
1546C23—221no—
1547C23—221no—
1548C23—444no—
1549C23—444no—
1550C23—444no—
1551C23—444no—
1552C23—444no—
1553C23—444no—
1554C23C2×D4×D1112yes—
1555C23C24×D1111yescharacteristic
1556Q8—882no—
1557Q8—882no—
1558D4—44no—
1559D4—82no—
1560D4—82no—
1561D4—82no—
1562D4—82no—
1563D4—82no—
1564D4—444no—
1565D4—444no—
1566D4—444no—
1567D4—444no—
1568D4—444no—
1569D4—882no—
1570D4—882no—
1571D4—882no—
1572D4—882no—
1573D4—882no—
1574D4—882no—
1575D4—882no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—44no—
1605C2×C4—82no—
1606C2×C4—82no—
1607C2×C4—112no—
1608C2×C4—112no—
1609C2×C4—112no—
1610C2×C4—112no—
1611C2×C4—112no—
1612C2×C4—228no—
1613C2×C4—221no—
1614C2×C4—221no—
1615C2×C4—221no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—221no—
1625C2×C4—221no—
1626C2×C4—221no—
1627C2×C4—221no—
1628C2×C4—221no—
1629C2×C4—221no—
1630C2×C4—221no—
1631C2×C4—221no—
1632C2×C4—221no—
1633C2×C4—221no—
1634C2×C4—221no—
1635C2×C4—221no—
1636C2×C4—221no—
1637C2×C4—221no—
1638C2×C4—221no—
1639C2×C4—221no—
1640C2×C4—221no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—444no—
1648C2×C4—444no—
1649C2×C4—444no—
1650C2×C4—444no—
1651C2×C4—444no—
1652C2×C4—444no—
1653C2×C4—444no—
1654C2×C4—444no—
1655C2×C4—882no—
1656C2×C4—882no—
1657C2×C4C2×D4×D1112yes—
1658C2×C4C2×D4×D1112yes—
1659C2×C4#6703712yes—
1660C2×C4#41×D1112yes—
1661C2×C4#41×D1112yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—114no—
1691C22—222no—
1692C22—222no—
1693C22—222no—
1694C22—222no—
1695C22—222no—
1696C22—222no—
1697C22—222no—
1698C22—222no—
1699C22—222no—
1700C22—4416no—
1701C22—441no—
1702C22—441no—
1703C22—441no—
1704C22—441no—
1705C22—441no—
1706C22—441no—
1707C22—441no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22C22×D4×D1111yescharacteristic
1713C22C2×#6703711yescharacteristic
1714C22C2×#41×D1111yescharacteristic
1715C22C2×#41×D1111yescharacteristic
1716C22#1062345311yescharacteristic
1717C22D11×H(5,𝔽2)11yescharacteristic
1718C22#1062345511yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—22no—
1723C4—22no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—222no—
1731C4—222no—
1732C4—222no—
1733C4—222no—
1734C4—222no—
1735C4—441no—
1736C4—441no—
1737C4—441no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C2—42no—
1744C2—81no—
1745C2—81no—
1746C2—81no—
1747C2—224no—
1748C2—442no—
1749C2—881no—
1750C2D11×#53211yescharacteristic
1751C2#1308202311yescharacteristic
1752C2#1308203111yescharacteristic
1753C2#1308229811yescharacteristic
1754C2#1308233211yescharacteristic
1755C2#1308237211yescharacteristic
1756C2#1308237611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2464C2
hypercenter#2464D11
hypocenterC11#35003
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2464

Complements

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

NH ≅ G/Ntype
1. C2×#10623188C2semidirect
2. C2×#10623144C2semidirect
3. #13076916C2semidirect
4. #13076914C2semidirect
5. #13076897C2semidirect
6. #13076895C2semidirect
7. #13074731C2semidirect
8. #13074717C2semidirect
9. #13074355C2semidirect
10. #13074349C2semidirect
11. #13073689C2semidirect
12. #13073688C2semidirect
13. #13073686C2semidirect
14. #13073686C2semidirect
15. #13073665C2semidirect
16. #13073664C2semidirect
17. #13073657C2semidirect
18. #13073654C2semidirect
19. #13073323C2semidirect
20. #13073321C2semidirect
21. #13073319C2semidirect
22. #13073317C2semidirect
23. #13072628C2semidirect
24. #13072618C2semidirect
25. #13072616C2semidirect
26. #13071318C2semidirect
27. #13071313C2semidirect
28. #13071128C2semidirect
29. C4×#66991C2semidirect
30. C4×C22⋊C4×D11C2semidirect
31. C11×#2464C2semidirect
36. C2×C4×D4×C11C22semidirect
48. C2×#66989C22semidirect
65. C2×#66938C22semidirect
72. C2×(C22⋊D11)⋊C4C22semidirect
79. C11×#398C22semidirect
82. C11×#392C22semidirect
83. C11×#390C22semidirect
84. C11×#388C22semidirect
85. C11×#388C22semidirect
87. C11×#386C22semidirect
88. C11×#385C22semidirect
92. #10622836C22semidirect
93. #10622836C22semidirect
94. #10622836C22semidirect
97. #10622834C22semidirect
100. #10622833C22semidirect
102. #10622826C22semidirect
104. #10622823C22semidirect
106. C4×C22⋊Dic11C22semidirect
107. C4×C22⋊Dic11C22semidirect
109. #10622603C22semidirect
110. #10622602C22semidirect
114. #10622597C22semidirect
115. #10622597C22semidirect
116. #10622593C22semidirect
117. #10622592C22semidirect
118. #10622591C22semidirect
119. #10622590C22semidirect
120. #10622586C22semidirect
121. #10622585C22semidirect
127. #10622570C22semidirect
128. #10622570C22semidirect
138. #10622569C22semidirect
141. #10622564C22semidirect
142. #10622564C22semidirect
143. #10622564C22semidirect
144. #10622564C22semidirect
145. #10622564C22semidirect
146. #10622562C22semidirect
147. #10622562C22semidirect
148. #10622562C22semidirect
149. #10622559C22semidirect
150. #10622558C22semidirect
151. #10622558C22semidirect
152. #10622557C22semidirect
153. #10622557C22semidirect
154. #10622557C22semidirect
158. C22⋊C4×Dic11C22semidirect
159. #10622553C22semidirect
160. #10622553C22semidirect
163. C4×C4⋊Dic11C22semidirect
164. #10622542C22semidirect
165. #10622290C22semidirect
168. #10622283C22semidirect
174. #10622279C22semidirect
180. #10622269C22semidirect
181. #10622269C22semidirect
182. #10622269C22semidirect
183. #10622267C22semidirect
184. #10622266C22semidirect
185. #10622265C22semidirect
186. #10622263C22semidirect
187. #10622262C22semidirect
188. #10622259C22semidirect
354. C22⋊C4×D11D4semidirect
646. #2464D11semidirect
857. C2×C4×D4C2×D11semidirect
869. #398C2×D11semidirect
893. #392C2×D11semidirect
899. #390C2×D11semidirect
916. #388C2×D11semidirect
917. #388C2×D11semidirect
941. #386C2×D11semidirect
945. #385C2×D11semidirect
1498. C11#35003semidirect

Maximal subgroups

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

subgroupindex
C2×#106231882
C2×#106231442
#130769162
#130769142
#130768972
#130768952
#130747312
#130747172
#130743552
#130743492
#130736892
#130736882
#130736862
#130736652
#130736642
#130736572
#130736542
#130733232
#130733212
#130733192
#130733172
#130726282
#130726182
#130726162
#130713182
#130713132
#130711282
C4×#669912
C4×C22⋊C4×D112
C11×#24642
#3500311