Finite Group Databasebeta

← C11×#61627 #14638820

Subgroups — C11×#61627 #14638820

Order 2816.

2050 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3540C211yesmaximal, characteristic, complemented
2C11×#3489C211yesmaximal, characteristic, complemented
3C11×#3329C211yesmaximal, characteristic, complemented
4C11×#3328C211yesmaximal, characteristic, complemented
5C11×#3321C211yesmaximal, characteristic, complemented
6C11×#3319C211yesmaximal, characteristic, complemented
7C11×#3313C211yesmaximal, characteristic, complemented
8C11×#3311C211yesmaximal, characteristic, complemented
9C11×#3303C211yesmaximal, characteristic, complemented
10C11×#3302C211yesmaximal, characteristic, complemented
11C11×#3285C211yesmaximal, characteristic, complemented
12C11×#3282C211yesmaximal, characteristic, complemented
13C11×#3275C211yesmaximal, characteristic, complemented
14C11×#3273C211yesmaximal, characteristic, complemented
15C11×#3270C211yesmaximal, characteristic, complemented
16C11×#3269C211yesmaximal, characteristic, complemented
17C11×#3267C211yesmaximal, characteristic, complemented
18C11×#3266C211yesmaximal, characteristic, complemented
19C11×#3225C211yesmaximal, characteristic, complemented
20C11×#3225C211yesmaximal, characteristic, complemented
21C11×#3201C211yesmaximal, characteristic, complemented
22C11×#3198C211yesmaximal, characteristic, complemented
23C11×#3196C211yesmaximal, characteristic, complemented
24C11×#3190C211yesmaximal, characteristic, complemented
25C11×#3125C211yesmaximal, characteristic, complemented
26C11×#3124C211yesmaximal, characteristic, complemented
27C11×#3011C211yesmaximal, characteristic, complemented
28C11×#3010C211yesmaximal, characteristic, complemented
29C11×#3005C211yesmaximal, characteristic, complemented
30C11×#3002C211yesmaximal, characteristic, complemented
31C11×#2976C211yesmaximal, characteristic, complemented
32C2×C11×2−1+4C2211yescharacteristic
33C22×C11×#41C2211yescharacteristic, complemented
34C2×C11×#137C2211yescharacteristic
35C2×C11×#137C2211yescharacteristic, complemented
36C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
37C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
38C2×C11×#135C2211yescharacteristic
39C2×C11×#135C2211yescharacteristic
40C22×C11×Q16C2211yescharacteristic, complemented
41C22×C11×SD16C2211yescharacteristic, complemented
42C11×H(3,𝔽4)—21no—
43C11×#560—21no—
44C11×#559—21no—
45C11×#556C2211yescharacteristic
46C11×#556C2211yescharacteristic, complemented
47C11×#555C2211yescharacteristic
48C11×#555C2211yescharacteristic, complemented
49C11×#551—21no—
50D4×Q8×C11C2211yescharacteristic
51D4×Q8×C11C2211yescharacteristic, complemented
52C11×#548C2211yescharacteristic
53C11×#548C2211yescharacteristic
54C11×#548C2211yescharacteristic, complemented
55C11×#548C2211yescharacteristic, complemented
56C11×#547—21no—
57C11×#547—21no—
58C11×#547C2211yescharacteristic
59C11×#547C2211yescharacteristic, complemented
60C11×#546—21no—
61C11×#546—21no—
62C11×#546C2211yescharacteristic
63C11×#546C2211yescharacteristic
64C11×#546C2211yescharacteristic, complemented
65C11×#546C2211yescharacteristic, complemented
66C11×#542—21no—
67C11×#542—21no—
68C11×#542C2211yescharacteristic, complemented
69C11×#542C2211yescharacteristic, complemented
70C11×#538—21no—
71C11×#538—21no—
72C11×#537—21no—
73C11×#537C2211yescharacteristic
74C11×#536—21no—
75C11×#536C2211yescharacteristic, complemented
76C11×#536C2211yescharacteristic, complemented
77C11×#535C2211yescharacteristic, complemented
78C11×#525—21no—
79C11×#525C2211yescharacteristic
80C11×#525C2211yescharacteristic
81C11×#525C2211yescharacteristic
82C2×C11×C22⋊Q8—21no—
83C2×C11×C22⋊Q8C2211yescharacteristic, complemented
84C11×#520C2211yescharacteristic, complemented
85C11×#497C2211yescharacteristic, complemented
86C11×#497C2211yescharacteristic, complemented
87C11×#495C2211yescharacteristic, complemented
88C11×#495C2211yescharacteristic, complemented
89C11×#489C2211yescharacteristic, complemented
90C11×#489C2211yescharacteristic, complemented
91C11×#487C2211yescharacteristic, complemented
92C11×#487C2211yescharacteristic, complemented
93C11×#485C2211yescharacteristic, complemented
94C11×#485C2211yescharacteristic, complemented
95C11×#485C2211yescharacteristic, complemented
96C11×#485C2211yescharacteristic, complemented
97C11×#485C2211yescharacteristic, complemented
98C11×#485C2211yescharacteristic, complemented
99C11×#484C2211yescharacteristic, complemented
100C11×#483C2211yescharacteristic, complemented
101C11×#482C2211yescharacteristic, complemented
102C11×#482C2211yescharacteristic, complemented
103C11×#481C2211yescharacteristic, complemented
104C11×#480C2211yescharacteristic, complemented
105C11×#477C2211yescharacteristic, complemented
106C11×#476C2211yescharacteristic, complemented
107C11×#475C2211yescharacteristic, complemented
108C11×#474C2211yescharacteristic, complemented
109C11×#470C2211yescharacteristic, complemented
110C11×#470C2211yescharacteristic, complemented
111C11×#470C2211yescharacteristic, complemented
112C11×#469C2211yescharacteristic, complemented
113C11×#468C2211yescharacteristic
114C11×#468C2211yescharacteristic
115C11×#468C2211yescharacteristic, complemented
116C11×#468C2211yescharacteristic, complemented
117C11×#467C2211yescharacteristic, complemented
118C11×#467C2211yescharacteristic, complemented
119C11×#467C2211yescharacteristic, complemented
120C11×#466C2211yescharacteristic, complemented
121C11×#465C2211yescharacteristic, complemented
122C11×#465C2211yescharacteristic, complemented
123C11×#465C2211yescharacteristic, complemented
124C11×#465C2211yescharacteristic, complemented
125C11×#464C2211yescharacteristic, complemented
126C11×#464C2211yescharacteristic, complemented
127C11×#464C2211yescharacteristic, complemented
128C11×#464C2211yescharacteristic, complemented
129C11×#463C2211yescharacteristic, complemented
130C11×#463C2211yescharacteristic, complemented
131C11×#463C2211yescharacteristic, complemented
132C11×#463C2211yescharacteristic, complemented
133C11×#462C2211yescharacteristic, complemented
134C11×#462C2211yescharacteristic, complemented
135C11×#461C2211yescharacteristic, complemented
136C11×#461C2211yescharacteristic, complemented
137C11×#452C2211yescharacteristic
138C11×#452C2211yescharacteristic
139C11×#452C2211yescharacteristic, complemented
140C11×#452C2211yescharacteristic, complemented
141C11×#452C2211yescharacteristic, complemented
142C11×#452C2211yescharacteristic, complemented
143C11×#452C2211yescharacteristic, complemented
144C11×#452C2211yescharacteristic, complemented
145C11×#452C2211yescharacteristic, complemented
146C11×#452C2211yescharacteristic, complemented
147C11×#452C2211yescharacteristic, complemented
148C11×#452C2211yescharacteristic, complemented
149C11×#451C2211yescharacteristic, complemented
150C11×#451C2211yescharacteristic, complemented
151C11×#451C2211yescharacteristic, complemented
152C11×#451C2211yescharacteristic, complemented
153C11×#451C2211yescharacteristic, complemented
154C11×#451C2211yescharacteristic, complemented
155C11×#450C2211yescharacteristic, complemented
156C11×#450C2211yescharacteristic, complemented
157C11×#449C2211yescharacteristic
158C11×#449C2211yescharacteristic
159C11×#449C2211yescharacteristic
160C11×#449C2211yescharacteristic
161C11×#449C2211yescharacteristic
162C11×#449C2211yescharacteristic
163C11×#449C2211yescharacteristic, complemented
164C11×#449C2211yescharacteristic, complemented
165C11×#448C2211yescharacteristic
166C11×#448C2211yescharacteristic, complemented
167C11×#448C2211yescharacteristic, complemented
168C11×#448C2211yescharacteristic, complemented
169C11×#448C2211yescharacteristic, complemented
170C11×#448C2211yescharacteristic, complemented
171C11×#447C2211yescharacteristic
172C11×#447C2211yescharacteristic, complemented
173C11×#442C2211yescharacteristic, complemented
174C11×#441C2211yescharacteristic, complemented
175C11×#440C2211yescharacteristic, complemented
176C11×#440C2211yescharacteristic, complemented
177C4×C11×Q16C2211yescharacteristic, complemented
178C4×C11×SD16C2211yescharacteristic, complemented
179C4×C11×SD16C2211yescharacteristic, complemented
180C4×C11×D8C2211yescharacteristic, complemented
181C11×#436C2211yescharacteristic
182C11×#436C2211yescharacteristic, complemented
183C11×#435C2211yescharacteristic
184C11×#435C2211yescharacteristic, complemented
185C11×#435C2211yescharacteristic, complemented
186C11×#435C2211yescharacteristic, complemented
187C8×D4×C11C2211yescharacteristic, complemented
188C8×D4×C11C2211yescharacteristic, complemented
189C11×#433C2211yescharacteristic, complemented
190C11×#433C2211yescharacteristic, complemented
191C11×#419C2211yescharacteristic, complemented
192C11×#419C2211yescharacteristic, complemented
193C11×#419C2211yescharacteristic, complemented
194C11×#418C2211yescharacteristic, complemented
195C11×#416C2211yescharacteristic, complemented
196C11×#416C2211yescharacteristic, complemented
197C11×#416C2211yescharacteristic, complemented
198C11×#416C2211yescharacteristic, complemented
199C11×#408C2211yescharacteristic, complemented
200C11×#408C2211yescharacteristic, complemented
201C11×#407C2211yescharacteristic, complemented
202C2×C11×C22⋊C8C2211yescharacteristic, complemented
203C11×2−1+4—42no—
204C11×2−1+4—42no—
205C2×C11×#41—21no—
206C2×C11×#41—21no—
207C2×C11×#41—21no—
208C2×C11×#41—21no—
209C2×C11×#41—21no—
210C2×C11×#41—42no—
211C2×C11×#41—42no—
212C2×C11×#41C2311yescharacteristic
213C2×C11×#41C2311yescharacteristic
214C2×C11×#41C2311yescharacteristic
215C2×C11×#41C2311yescharacteristic
216C2×C11×#41C2311yescharacteristic
217C2×C11×#41C2311yescharacteristic
218C2×C11×#41C2311yescharacteristic
219C2×C11×#41C2311yescharacteristic
220C2×C11×#41C2311yescharacteristic
221C22×Q8×C11—21no—
222C22×Q8×C11C2311yescharacteristic
223C22×Q8×C11C2311yescharacteristic
224C22×Q8×C11C2311yescharacteristic
225C22×Q8×C11C2311yescharacteristic
226C22×Q8×C11C2311yescharacteristic
227C22×D4×C11—21no—
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C23×C4×C11—21no—
231C23×C4×C11C2311yescharacteristic
232C11×#137—42no—
233C11×#137—42no—
234C11×AGL(1,ℤ/8)—42no—
235C11×AGL(1,ℤ/8)—42no—
236C11×#135—42no—
237C11×#135—42no—
238C2×C11×Q16—42no—
239C2×C11×Q16C2311yescharacteristic
240C2×C11×Q16C2311yescharacteristic
241C2×C11×Q16C2311yescharacteristic
242C2×C11×Q16C2311yescharacteristic
243C2×C11×Q16C2311yescharacteristic
244C2×C11×Q16C2311yescharacteristic
245C2×C11×Q16C2311yescharacteristic
246C2×C11×Q16C2311yescharacteristic
247C2×C11×SD16—42no—
248C2×C11×SD16C2311yescharacteristic
249C2×C11×SD16C2311yescharacteristic
250C2×C11×SD16C2311yescharacteristic
251C2×C11×SD16C2311yescharacteristic
252C2×C11×SD16C2311yescharacteristic
253C2×C11×SD16C2311yescharacteristic
254C2×C11×SD16C2311yescharacteristic
255C2×C11×SD16C2311yescharacteristic
256C2×C11×SD16C2311yescharacteristic
257C2×C11×SD16C2311yescharacteristic
258C2×C11×SD16C2311yescharacteristic
259C2×C11×SD16C2311yescharacteristic
260C2×C11×D8C2311yescharacteristic
261C2×C11×D8C2311yescharacteristic
262C2×C11×D8C2311yescharacteristic
263C2×C11×D8C2311yescharacteristic
264C2×C11×M16C2311yescharacteristic
265C2×C11×M16C2311yescharacteristic
266C2×C11×M16C2311yescharacteristic
267C2×C11×M16C2311yescharacteristic
268C22×C8×C11C2311yescharacteristic
269C22×C8×C11C2311yescharacteristic
270C22×C8×C11C2311yescharacteristic
271C22×C8×C11C2311yescharacteristic
272C11×C4⋊Q8—21no—
273C11×C4⋊Q8—21no—
274C11×C4⋊Q8—21no—
275C11×C4⋊Q8C2311yescharacteristic
276C11×C4⋊Q8C2311yescharacteristic
277C11×C4⋊Q8C2311yescharacteristic
278C11×C4⋊Q8C2311yescharacteristic
279C11×#127—21no—
280C11×#126—21no—
281C11×#126—21no—
282C11×#126—21no—
283C11×#126—21no—
284C11×#126—21no—
285C11×#126—21no—
286C11×#124—21no—
287C11×#124—21no—
288C11×#124—21no—
289C11×#124—21no—
290C11×#124—21no—
291C11×#124—21no—
292C11×#124—21no—
293C11×#124—21no—
294C11×#124—21no—
295C11×#124—21no—
296C11×#124—21no—
297C11×#124—21no—
298C11×#124—21no—
299C11×#124—21no—
300C11×#124C2311yescharacteristic
301C11×#124C2311yescharacteristic
302C11×#124C2311yescharacteristic
303C11×#124C2311yescharacteristic
304C11×#123—21no—
305C11×#123—21no—
306C11×#123—21no—
307C11×#123—21no—
308C11×#123—21no—
309C11×#123—21no—
310C11×#123—21no—
311C11×#123—21no—
312C11×#123—21no—
313C11×#123—21no—
314C11×#123—21no—
315C11×#123—21no—
316C11×#123—21no—
317C11×#123—21no—
318C11×#123—21no—
319C11×#123—21no—
320C11×#123D411yescharacteristic
321C11×#123D411yescharacteristic
322C11×C22⋊Q8—21no—
323C11×C22⋊Q8—21no—
324C11×C22⋊Q8—21no—
325C11×C22⋊Q8—21no—
326C11×C22⋊Q8—21no—
327C11×C22⋊Q8—21no—
328C11×C22⋊Q8—21no—
329C11×C22⋊Q8—21no—
330C11×C22⋊Q8—21no—
331C11×C22⋊Q8—21no—
332C11×C22⋊Q8—21no—
333C11×C22⋊Q8—21no—
334C11×C22⋊Q8—21no—
335C11×C22⋊Q8—21no—
336C11×C22⋊Q8—21no—
337C11×C22⋊Q8D411yescharacteristic
338C11×C22⋊Q8D411yescharacteristic
339C11×C22⋊Q8C2311yescharacteristic
340C11×C22⋊Q8C2311yescharacteristic
341C11×C22⋊Q8C2311yescharacteristic
342C11×C22⋊Q8C2311yescharacteristic
343C11×C22⋊Q8C2311yescharacteristic
344C11×C22⋊Q8C2311yescharacteristic
345C11×C22⋊Q8C2311yescharacteristic
346C11×C22⋊Q8C2311yescharacteristic
347C11×C22⋊Q8C2311yescharacteristic
348C11×C22⋊Q8C2311yescharacteristic
349C11×C22⋊Q8C2311yescharacteristic
350C11×C22⋊Q8C2311yescharacteristic
351C11×#121—21no—
352C11×#121—21no—
353C11×#121—21no—
354C11×#121—21no—
355C11×#121—21no—
356C11×#121—21no—
357C11×#121—21no—
358C11×#121—21no—
359C11×#121—21no—
360C11×#121—21no—
361C11×#121—21no—
362C11×#121—21no—
363C11×#121—21no—
364C11×#121—21no—
365C11×#121—21no—
366C11×#121D411yescharacteristic
367C11×#121D411yescharacteristic
368C11×#121C2311yescharacteristic
369C11×#121C2311yescharacteristic
370C11×#121C2311yescharacteristic
371C11×#121C2311yescharacteristic
372C11×#121C2311yescharacteristic
373C11×#121C2311yescharacteristic
374C11×#121C2311yescharacteristic
375C11×#121C2311yescharacteristic
376C11×#120—21no—
377C11×#120—21no—
378C11×#120—21no—
379C11×#120—21no—
380C11×#120—21no—
381C11×#120—21no—
382C11×#120—21no—
383C11×#120—21no—
384C11×#120D411yescharacteristic
385C11×#120D411yescharacteristic
386C4×Q8×C11—21no—
387C4×Q8×C11—21no—
388C4×Q8×C11C2311yescharacteristic
389C4×Q8×C11C2311yescharacteristic
390C4×Q8×C11C2311yescharacteristic
391C4×Q8×C11C2311yescharacteristic
392C4×D4×C11—21no—
393C4×D4×C11—21no—
394C4×D4×C11—21no—
395C4×D4×C11—21no—
396C4×D4×C11—21no—
397C4×D4×C11—21no—
398C4×D4×C11—21no—
399C4×D4×C11—21no—
400C4×D4×C11—21no—
401C4×D4×C11—21no—
402C4×D4×C11—21no—
403C4×D4×C11—21no—
404C4×D4×C11C2311yescharacteristic
405C4×D4×C11C2311yescharacteristic
406C4×D4×C11C2311yescharacteristic
407C4×D4×C11C2311yescharacteristic
408C4×D4×C11C2311yescharacteristic
409C4×D4×C11C2311yescharacteristic
410C4×D4×C11C2311yescharacteristic
411C4×D4×C11C2311yescharacteristic
412C11×#117—21no—
413C11×#117—21no—
414C11×#117—21no—
415C11×#117C2311yescharacteristic
416C11×#117C2311yescharacteristic
417C11×#117C2311yescharacteristic
418C11×#117C2311yescharacteristic
419C11×#117C2311yescharacteristic
420C2×C11×C4⋊C4—21no—
421C2×C11×C4⋊C4—21no—
422C2×C11×C4⋊C4—21no—
423C2×C11×C4⋊C4—21no—
424C2×C11×C4⋊C4C2311yescharacteristic
425C2×C11×C22⋊C4—21no—
426C2×C11×C22⋊C4—21no—
427C2×C11×C22⋊C4—21no—
428C2×C11×C22⋊C4—21no—
429C2×C11×C22⋊C4—21no—
430C11×#107C2311yescharacteristic
431C11×#107C2311yescharacteristic
432C11×#107C2311yescharacteristic
433C11×#107C2311yescharacteristic
434C11×#106C2311yescharacteristic
435C11×#106C2311yescharacteristic
436C11×#106C2311yescharacteristic
437C11×#106C2311yescharacteristic
438C11×C4⋊C8C2311yescharacteristic
439C11×C4⋊C8C2311yescharacteristic
440C11×C4⋊C8C2311yescharacteristic
441C11×C4⋊C8C2311yescharacteristic
442C11×#103C2311yescharacteristic
443C11×#103C2311yescharacteristic
444C11×#103C2311yescharacteristic
445C11×#103C2311yescharacteristic
446C11×#103C2311yescharacteristic
447C11×#103C2311yescharacteristic
448C11×#103C2311yescharacteristic
449C11×#103C2311yescharacteristic
450C11×#103C2311yescharacteristic
451C11×#103C2311yescharacteristic
452C11×#103C2311yescharacteristic
453C11×#103C2311yescharacteristic
454C11×#103C2311yescharacteristic
455C11×#103C2311yescharacteristic
456C11×#103C2311yescharacteristic
457C11×#103C2311yescharacteristic
458C11×#103C2311yescharacteristic
459C11×#103C2311yescharacteristic
460C11×#103C2311yescharacteristic
461C11×#103C2311yescharacteristic
462C11×#102C2311yescharacteristic
463C11×#102C2311yescharacteristic
464C11×#102C2311yescharacteristic
465C11×#102C2311yescharacteristic
466C11×#102C2311yescharacteristic
467C11×#102C2311yescharacteristic
468C11×#102C2311yescharacteristic
469C11×#102C2311yescharacteristic
470C11×#102C2311yescharacteristic
471C11×#102C2311yescharacteristic
472C11×#102C2311yescharacteristic
473C11×#102C2311yescharacteristic
474C11×C22⋊C8C2311yescharacteristic
475C11×C22⋊C8C2311yescharacteristic
476C11×C22⋊C8C2311yescharacteristic
477C11×C22⋊C8C2311yescharacteristic
478C11×C22⋊C8C2311yescharacteristic
479C11×C22⋊C8C2311yescharacteristic
480C11×C22⋊C8C2311yescharacteristic
481C11×C22⋊C8C2311yescharacteristic
482C11×C22⋊C8C2311yescharacteristic
483C11×C22⋊C8C2311yescharacteristic
484C11×C22⋊C8C2311yescharacteristic
485C11×C22⋊C8C2311yescharacteristic
486C11×#97C2311yescharacteristic
487C11×#97C2311yescharacteristic
488C4×C8×C11C2311yescharacteristic
489C4×C8×C11C2311yescharacteristic
490#61627C1111yesmaximal, characteristic, direct product factor, Sylow
491C24×C11—21no—
492C24×C11—21no—
493C24×C11C2×D411yescharacteristic
494C11×#41—22no—
495C11×#41—22no—
496C11×#41—22no—
497C11×#41—22no—
498C11×#41—22no—
499C11×#41—22no—
500C11×#41—41no—
501C11×#41—41no—
502C11×#41—41no—
503C11×#41—41no—
504C11×#41—41no—
505C11×#41—41no—
506C11×#41—41no—
507C11×#41—41no—
508C11×#41—44no—
509C11×#41—44no—
510C11×#41—41no—
511C11×#41—41no—
512C11×#41—41no—
513C11×#41—41no—
514C11×#41—44no—
515C11×#41—44no—
516C11×#41—44no—
517C2×Q8×C11—21no—
518C2×Q8×C11—21no—
519C2×Q8×C11—21no—
520C2×Q8×C11—21no—
521C2×Q8×C11—21no—
522C2×Q8×C11—21no—
523C2×Q8×C11—21no—
524C2×Q8×C11—22no—
525C2×Q8×C11—22no—
526C2×Q8×C11—22no—
527C2×Q8×C11—41no—
528C2×Q8×C11—41no—
529C2×Q8×C11—41no—
530C2×Q8×C11—41no—
531C2×Q8×C11—41no—
532C2×Q8×C11—44no—
533C2×Q8×C11—41no—
534C2×Q8×C11—41no—
535C2×Q8×C11C2×D411yescharacteristic
536C2×Q8×C11C2411yescharacteristic
537C2×Q8×C11C2411yescharacteristic
538C2×Q8×C11C2411yescharacteristic
539C2×Q8×C11C2411yescharacteristic
540C2×Q8×C11C2411yescharacteristic
541C2×Q8×C11C2411yescharacteristic
542C2×D4×C11—21no—
543C2×D4×C11—22no—
544C2×D4×C11—21no—
545C2×D4×C11—21no—
546C2×D4×C11—21no—
547C2×D4×C11—21no—
548C2×D4×C11—21no—
549C2×D4×C11—21no—
550C2×D4×C11—21no—
551C2×D4×C11—21no—
552C2×D4×C11—21no—
553C2×D4×C11—21no—
554C2×D4×C11—21no—
555C2×D4×C11—21no—
556C2×D4×C11—21no—
557C2×D4×C11—21no—
558C2×D4×C11—21no—
559C2×D4×C11—21no—
560C2×D4×C11—21no—
561C2×D4×C11—41no—
562C2×D4×C11—41no—
563C2×D4×C11—41no—
564C2×D4×C11—44no—
565C2×D4×C11C2×D411yescharacteristic
566C2×D4×C11C2×D411yescharacteristic
567C2×D4×C11C2×D411yescharacteristic
568C2×D4×C11C2×D411yescharacteristic
569C2×D4×C11C2×D411yescharacteristic
570C2×D4×C11C2×D411yescharacteristic
571C2×D4×C11C2×D411yescharacteristic
572C2×D4×C11C2411yescharacteristic
573C2×D4×C11C2411yescharacteristic
574C2×D4×C11C2411yescharacteristic
575C2×D4×C11C2411yescharacteristic
576C22×C4×C11—21no—
577C22×C4×C11—21no—
578C22×C4×C11—21no—
579C22×C4×C11—21no—
580C22×C4×C11—21no—
581C22×C4×C11—21no—
582C22×C4×C11—21no—
583C22×C4×C11—21no—
584C22×C4×C11—21no—
585C22×C4×C11—21no—
586C22×C4×C11—21no—
587C22×C4×C11—21no—
588C22×C4×C11—21no—
589C22×C4×C11—21no—
590C22×C4×C11—21no—
591C22×C4×C11—21no—
592C22×C4×C11—21no—
593C22×C4×C11—21no—
594C22×C4×C11—41no—
595C22×C4×C11—41no—
596C22×C4×C11—44no—
597C22×C4×C11C2×D411yescharacteristic
598C22×C4×C11C2×D411yescharacteristic
599C22×C4×C11C2×D411yescharacteristic
600C22×C4×C11C2411yescharacteristic
601C22×C4×C11C2411yescharacteristic
602C22×C4×C11C2411yescharacteristic
603C22×C4×C11C2411yescharacteristic
604C22×C4×C11C2411yescharacteristic
605C11×Q16—22no—
606C11×Q16—22no—
607C11×Q16—41no—
608C11×Q16—41no—
609C11×Q16—41no—
610C11×Q16—41no—
611C11×Q16—41no—
612C11×Q16—41no—
613C11×SD16—22no—
614C11×SD16—22no—
615C11×SD16—22no—
616C11×SD16—22no—
617C11×SD16—41no—
618C11×SD16—41no—
619C11×SD16—41no—
620C11×SD16—41no—
621C11×SD16—41no—
622C11×SD16—41no—
623C11×SD16—41no—
624C11×SD16—41no—
625C11×D8—22no—
626C11×D8—22no—
627C11×D8—41no—
628C11×D8—41no—
629C11×M16—41no—
630C11×M16—41no—
631C11×M16—41no—
632C11×M16—41no—
633C2×C8×C11—41no—
634C2×C8×C11—41no—
635C2×C8×C11—41no—
636C2×C8×C11—41no—
637C2×C8×C11C2411yescharacteristic
638C2×C8×C11C2411yescharacteristic
639C2×C8×C11C2411yescharacteristic
640C2×C8×C11C2411yescharacteristic
641C2×C8×C11C2411yescharacteristic
642C2×C8×C11C2411yescharacteristic
643C2×C8×C11C2411yescharacteristic
644C2×C8×C11C2411yescharacteristic
645C11×C4⋊C4—21no—
646C11×C4⋊C4—21no—
647C11×C4⋊C4—21no—
648C11×C4⋊C4—21no—
649C11×C4⋊C4—21no—
650C11×C4⋊C4—21no—
651C11×C4⋊C4—21no—
652C11×C4⋊C4—21no—
653C11×C4⋊C4—21no—
654C11×C4⋊C4—21no—
655C11×C4⋊C4—21no—
656C11×C4⋊C4—21no—
657C11×C4⋊C4—21no—
658C11×C4⋊C4—21no—
659C11×C4⋊C4—21no—
660C11×C4⋊C4—21no—
661C11×C4⋊C4—21no—
662C11×C4⋊C4—21no—
663C11×C4⋊C4—21no—
664C11×C4⋊C4—21no—
665C11×C4⋊C4—21no—
666C11×C4⋊C4—21no—
667C11×C4⋊C4—21no—
668C11×C4⋊C4C2×D411yescharacteristic
669C11×C4⋊C4C2×D411yescharacteristic
670C11×C4⋊C4C2×D411yescharacteristic
671C11×C4⋊C4C2×D411yescharacteristic
672C11×C4⋊C4C2×D411yescharacteristic
673C11×C4⋊C4C2×D411yescharacteristic
674C11×C4⋊C4C2411yescharacteristic
675C11×C4⋊C4C2411yescharacteristic
676C11×C4⋊C4C2411yescharacteristic
677C11×C4⋊C4C2411yescharacteristic
678C11×C4⋊C4C2411yescharacteristic
679C11×C4⋊C4C2411yescharacteristic
680C11×C22⋊C4—21no—
681C11×C22⋊C4—21no—
682C11×C22⋊C4—21no—
683C11×C22⋊C4—21no—
684C11×C22⋊C4—21no—
685C11×C22⋊C4—21no—
686C11×C22⋊C4—21no—
687C11×C22⋊C4—21no—
688C11×C22⋊C4—21no—
689C11×C22⋊C4—21no—
690C11×C22⋊C4—21no—
691C11×C22⋊C4—21no—
692C11×C22⋊C4—21no—
693C11×C22⋊C4—21no—
694C11×C22⋊C4—21no—
695C11×C22⋊C4—21no—
696C11×C22⋊C4—21no—
697C11×C22⋊C4—21no—
698C11×C22⋊C4—21no—
699C11×C22⋊C4—21no—
700C11×C22⋊C4—21no—
701C11×C22⋊C4—21no—
702C11×C22⋊C4—21no—
703C11×C22⋊C4—21no—
704C11×C22⋊C4—21no—
705C11×C22⋊C4—21no—
706C11×C22⋊C4—21no—
707C11×C22⋊C4—21no—
708C11×C22⋊C4—21no—
709C11×C22⋊C4—21no—
710C11×C22⋊C4—21no—
711C11×C22⋊C4—21no—
712C11×C22⋊C4—21no—
713C11×C22⋊C4—21no—
714C11×C22⋊C4—21no—
715C11×C22⋊C4—21no—
716C11×C22⋊C4C2×D411yescharacteristic
717C11×C22⋊C4C2×D411yescharacteristic
718C11×C22⋊C4C2×D411yescharacteristic
719C11×C22⋊C4C2×D411yescharacteristic
720C11×C22⋊C4C2×D411yescharacteristic
721C11×C22⋊C4C2×D411yescharacteristic
722C11×C22⋊C4C2×D411yescharacteristic
723C11×C22⋊C4C2×D411yescharacteristic
724C11×C22⋊C4C2×D411yescharacteristic
725C11×C22⋊C4C2×D411yescharacteristic
726C42×C11—21no—
727C42×C11—21no—
728C42×C11—21no—
729C42×C11—21no—
730C42×C11—21no—
731C42×C11—21no—
732C42×C11—21no—
733C42×C11—21no—
734C42×C11C2411yescharacteristic
735C42×C11C2411yescharacteristic
736#3540C2×C1111yescharacteristic, complemented
737#3489C2×C1111yescharacteristic, complemented
738#3329C2×C1111yescharacteristic, complemented
739#3328C2×C1111yescharacteristic, complemented
740#3321C2×C1111yescharacteristic, complemented
741#3319C2×C1111yescharacteristic, complemented
742#3313C2×C1111yescharacteristic, complemented
743#3311C2×C1111yescharacteristic, complemented
744#3303C2×C1111yescharacteristic, complemented
745#3302C2×C1111yescharacteristic, complemented
746#3285C2×C1111yescharacteristic, complemented
747#3282C2×C1111yescharacteristic, complemented
748#3275C2×C1111yescharacteristic, complemented
749#3273C2×C1111yescharacteristic, complemented
750#3270C2×C1111yescharacteristic, complemented
751#3269C2×C1111yescharacteristic, complemented
752#3267C2×C1111yescharacteristic, complemented
753#3266C2×C1111yescharacteristic, complemented
754#3225C2×C1111yescharacteristic, complemented
755#3225C2×C1111yescharacteristic, complemented
756#3201C2×C1111yescharacteristic, complemented
757#3198C2×C1111yescharacteristic, complemented
758#3196C2×C1111yescharacteristic, complemented
759#3190C2×C1111yescharacteristic, complemented
760#3125C2×C1111yescharacteristic, complemented
761#3124C2×C1111yescharacteristic, complemented
762#3011C2×C1111yescharacteristic, complemented
763#3010C2×C1111yescharacteristic, complemented
764#3005C2×C1111yescharacteristic, complemented
765#3002C2×C1111yescharacteristic, complemented
766#2976C2×C1111yescharacteristic, complemented
767C23×C11—21no—
768C23×C11—21no—
769C23×C11—21no—
770C23×C11—21no—
771C23×C11—41no—
772C23×C11—41no—
773C23×C11—41no—
774C23×C11—42no—
775C23×C11—42no—
776C23×C11—81no—
777C23×C11—81no—
778C23×C11—81no—
779C23×C11—81no—
780C23×C11C22×D411yescharacteristic
781C23×C11C22×D411yescharacteristic
782C23×C11C22×D411yescharacteristic
783C23×C11C22×D411yescharacteristic
784C23×C11C22×D411yescharacteristic
785Q8×C11—21no—
786Q8×C11—21no—
787Q8×C11—21no—
788Q8×C11—21no—
789Q8×C11—21no—
790Q8×C11—21no—
791Q8×C11—21no—
792Q8×C11—21no—
793Q8×C11—21no—
794Q8×C11—21no—
795Q8×C11—21no—
796Q8×C11—41no—
797Q8×C11—42no—
798Q8×C11—42no—
799Q8×C11—42no—
800Q8×C11—42no—
801Q8×C11—81no—
802Q8×C11—81no—
803Q8×C11—81no—
804Q8×C11H(5,𝔽2)12yes—
805D4×C11—24no—
806D4×C11—21no—
807D4×C11—21no—
808D4×C11—21no—
809D4×C11—21no—
810D4×C11—21no—
811D4×C11—21no—
812D4×C11—21no—
813D4×C11—41no—
814D4×C11—41no—
815D4×C11—41no—
816D4×C11—41no—
817D4×C11—41no—
818D4×C11—41no—
819D4×C11—41no—
820D4×C11—42no—
821D4×C11—42no—
822D4×C11—42no—
823D4×C11—42no—
824D4×C11—42no—
825D4×C11—42no—
826D4×C11—81no—
827D4×C11—81no—
828D4×C11—81no—
829D4×C11—81no—
830D4×C11—81no—
831D4×C11—81no—
832D4×C11—81no—
833D4×C11—81no—
834D4×C11—81no—
835D4×C11—81no—
836D4×C11—81no—
837D4×C11H(5,𝔽2)12yes—
838C2×C4×C11—24no—
839C2×C4×C11—21no—
840C2×C4×C11—21no—
841C2×C4×C11—21no—
842C2×C4×C11—21no—
843C2×C4×C11—21no—
844C2×C4×C11—21no—
845C2×C4×C11—21no—
846C2×C4×C11—21no—
847C2×C4×C11—21no—
848C2×C4×C11—21no—
849C2×C4×C11—21no—
850C2×C4×C11—21no—
851C2×C4×C11—21no—
852C2×C4×C11—21no—
853C2×C4×C11—21no—
854C2×C4×C11—21no—
855C2×C4×C11—21no—
856C2×C4×C11—21no—
857C2×C4×C11—21no—
858C2×C4×C11—21no—
859C2×C4×C11—21no—
860C2×C4×C11—21no—
861C2×C4×C11—41no—
862C2×C4×C11—41no—
863C2×C4×C11—41no—
864C2×C4×C11—42no—
865C2×C4×C11—42no—
866C2×C4×C11—42no—
867C2×C4×C11—42no—
868C2×C4×C11—42no—
869C2×C4×C11—42no—
870C2×C4×C11—42no—
871C2×C4×C11—42no—
872C2×C4×C11—42no—
873C2×C4×C11—81no—
874C2×C4×C11—81no—
875C2×C4×C11—81no—
876C2×C4×C11—81no—
877C2×C4×C11—81no—
878C2×C4×C11—81no—
879C2×C4×C11—81no—
880C2×C4×C11—81no—
881C2×C4×C11C22×D411yescharacteristic
882C2×C4×C11C22×D411yescharacteristic
883C2×C4×C11C22×D411yescharacteristic
884C2×C4×C11C22×D411yescharacteristic
885C2×C4×C11C22×D411yescharacteristic
886C2×C4×C11C22×D411yescharacteristic
887C2×C4×C11C22×D411yescharacteristic
888C2×C4×C11C22×D411yescharacteristic
889C2×C4×C11C22×D411yescharacteristic
890C2×C4×C11C2511yescharacteristic
891C8×C11—21no—
892C8×C11—21no—
893C8×C11—21no—
894C8×C11—21no—
895C8×C11—21no—
896C8×C11—21no—
897C8×C11—21no—
898C8×C11—21no—
899C2×2−1+4C22×C1111yescharacteristic
900C22×#41C22×C1111yescharacteristic, complemented
901C2×#137C22×C1111yescharacteristic
902C2×#137C22×C1111yescharacteristic, complemented
903C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
904C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
905C2×#135C22×C1111yescharacteristic
906C2×#135C22×C1111yescharacteristic
907C22×Q16C22×C1111yescharacteristic, complemented
908C22×SD16C22×C1111yescharacteristic, complemented
909H(3,𝔽4)—21no—
910#560—21no—
911#559—21no—
912#556C22×C1111yescharacteristic
913#556C22×C1111yescharacteristic, complemented
914#555C22×C1111yescharacteristic
915#555C22×C1111yescharacteristic, complemented
916#551—21no—
917D4×Q8C22×C1111yescharacteristic
918D4×Q8C22×C1111yescharacteristic, complemented
919#548C22×C1111yescharacteristic
920#548C22×C1111yescharacteristic
921#548C22×C1111yescharacteristic, complemented
922#548C22×C1111yescharacteristic, complemented
923#547—21no—
924#547—21no—
925#547C22×C1111yescharacteristic
926#547C22×C1111yescharacteristic, complemented
927#546—21no—
928#546—21no—
929#546C22×C1111yescharacteristic
930#546C22×C1111yescharacteristic
931#546C22×C1111yescharacteristic, complemented
932#546C22×C1111yescharacteristic, complemented
933#542—21no—
934#542—21no—
935#542C22×C1111yescharacteristic, complemented
936#542C22×C1111yescharacteristic, complemented
937#538—21no—
938#538—21no—
939#537—21no—
940#537C22×C1111yescharacteristic
941#536—21no—
942#536C22×C1111yescharacteristic, complemented
943#536C22×C1111yescharacteristic, complemented
944#535C22×C1111yescharacteristic, complemented
945#525—21no—
946#525C22×C1111yescharacteristic
947#525C22×C1111yescharacteristic
948#525C22×C1111yescharacteristic
949C2×C22⋊Q8—21no—
950C2×C22⋊Q8C22×C1111yescharacteristic, complemented
951#520C22×C1111yescharacteristic, complemented
952#497C22×C1111yescharacteristic, complemented
953#497C22×C1111yescharacteristic, complemented
954#495C22×C1111yescharacteristic, complemented
955#495C22×C1111yescharacteristic, complemented
956#489C22×C1111yescharacteristic, complemented
957#489C22×C1111yescharacteristic, complemented
958#487C22×C1111yescharacteristic, complemented
959#487C22×C1111yescharacteristic, complemented
960#485C22×C1111yescharacteristic, complemented
961#485C22×C1111yescharacteristic, complemented
962#485C22×C1111yescharacteristic, complemented
963#485C22×C1111yescharacteristic, complemented
964#485C22×C1111yescharacteristic, complemented
965#485C22×C1111yescharacteristic, complemented
966#484C22×C1111yescharacteristic, complemented
967#483C22×C1111yescharacteristic, complemented
968#482C22×C1111yescharacteristic, complemented
969#482C22×C1111yescharacteristic, complemented
970#481C22×C1111yescharacteristic, complemented
971#480C22×C1111yescharacteristic, complemented
972#477C22×C1111yescharacteristic, complemented
973#476C22×C1111yescharacteristic, complemented
974#475C22×C1111yescharacteristic, complemented
975#474C22×C1111yescharacteristic, complemented
976#470C22×C1111yescharacteristic, complemented
977#470C22×C1111yescharacteristic, complemented
978#470C22×C1111yescharacteristic, complemented
979#469C22×C1111yescharacteristic, complemented
980#468C22×C1111yescharacteristic
981#468C22×C1111yescharacteristic
982#468C22×C1111yescharacteristic, complemented
983#468C22×C1111yescharacteristic, complemented
984#467C22×C1111yescharacteristic, complemented
985#467C22×C1111yescharacteristic, complemented
986#467C22×C1111yescharacteristic, complemented
987#466C22×C1111yescharacteristic, complemented
988#465C22×C1111yescharacteristic, complemented
989#465C22×C1111yescharacteristic, complemented
990#465C22×C1111yescharacteristic, complemented
991#465C22×C1111yescharacteristic, complemented
992#464C22×C1111yescharacteristic, complemented
993#464C22×C1111yescharacteristic, complemented
994#464C22×C1111yescharacteristic, complemented
995#464C22×C1111yescharacteristic, complemented
996#463C22×C1111yescharacteristic, complemented
997#463C22×C1111yescharacteristic, complemented
998#463C22×C1111yescharacteristic, complemented
999#463C22×C1111yescharacteristic, complemented
1000#462C22×C1111yescharacteristic, complemented
1001#462C22×C1111yescharacteristic, complemented
1002#461C22×C1111yescharacteristic, complemented
1003#461C22×C1111yescharacteristic, complemented
1004#452C22×C1111yescharacteristic
1005#452C22×C1111yescharacteristic
1006#452C22×C1111yescharacteristic, complemented
1007#452C22×C1111yescharacteristic, complemented
1008#452C22×C1111yescharacteristic, complemented
1009#452C22×C1111yescharacteristic, complemented
1010#452C22×C1111yescharacteristic, complemented
1011#452C22×C1111yescharacteristic, complemented
1012#452C22×C1111yescharacteristic, complemented
1013#452C22×C1111yescharacteristic, complemented
1014#452C22×C1111yescharacteristic, complemented
1015#452C22×C1111yescharacteristic, complemented
1016#451C22×C1111yescharacteristic, complemented
1017#451C22×C1111yescharacteristic, complemented
1018#451C22×C1111yescharacteristic, complemented
1019#451C22×C1111yescharacteristic, complemented
1020#451C22×C1111yescharacteristic, complemented
1021#451C22×C1111yescharacteristic, complemented
1022#450C22×C1111yescharacteristic, complemented
1023#450C22×C1111yescharacteristic, complemented
1024#449C22×C1111yescharacteristic
1025#449C22×C1111yescharacteristic
1026#449C22×C1111yescharacteristic
1027#449C22×C1111yescharacteristic
1028#449C22×C1111yescharacteristic
1029#449C22×C1111yescharacteristic
1030#449C22×C1111yescharacteristic, complemented
1031#449C22×C1111yescharacteristic, complemented
1032#448C22×C1111yescharacteristic
1033#448C22×C1111yescharacteristic, complemented
1034#448C22×C1111yescharacteristic, complemented
1035#448C22×C1111yescharacteristic, complemented
1036#448C22×C1111yescharacteristic, complemented
1037#448C22×C1111yescharacteristic, complemented
1038#447C22×C1111yescharacteristic
1039#447C22×C1111yescharacteristic, complemented
1040#442C22×C1111yescharacteristic, complemented
1041#441C22×C1111yescharacteristic, complemented
1042#440C22×C1111yescharacteristic, complemented
1043#440C22×C1111yescharacteristic, complemented
1044C4×Q16C22×C1111yescharacteristic, complemented
1045C4×SD16C22×C1111yescharacteristic, complemented
1046C4×SD16C22×C1111yescharacteristic, complemented
1047C4×D8C22×C1111yescharacteristic, complemented
1048#436C22×C1111yescharacteristic
1049#436C22×C1111yescharacteristic, complemented
1050#435C22×C1111yescharacteristic
1051#435C22×C1111yescharacteristic, complemented
1052#435C22×C1111yescharacteristic, complemented
1053#435C22×C1111yescharacteristic, complemented
1054C8×D4C22×C1111yescharacteristic, complemented
1055C8×D4C22×C1111yescharacteristic, complemented
1056#433C22×C1111yescharacteristic, complemented
1057#433C22×C1111yescharacteristic, complemented
1058#419C22×C1111yescharacteristic, complemented
1059#419C22×C1111yescharacteristic, complemented
1060#419C22×C1111yescharacteristic, complemented
1061#418C22×C1111yescharacteristic, complemented
1062#416C22×C1111yescharacteristic, complemented
1063#416C22×C1111yescharacteristic, complemented
1064#416C22×C1111yescharacteristic, complemented
1065#416C22×C1111yescharacteristic, complemented
1066#408C22×C1111yescharacteristic, complemented
1067#408C22×C1111yescharacteristic, complemented
1068#407C22×C1111yescharacteristic, complemented
1069C2×C22⋊C8C22×C1111yescharacteristic, complemented
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—21no—
1075C22×C11—21no—
1076C22×C11—21no—
1077C22×C11—21no—
1078C22×C11—21no—
1079C22×C11—21no—
1080C22×C11—21no—
1081C22×C11—22no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—21no—
1085C22×C11—21no—
1086C22×C11—41no—
1087C22×C11—41no—
1088C22×C11—41no—
1089C22×C11—41no—
1090C22×C11—41no—
1091C22×C11—41no—
1092C22×C11—41no—
1093C22×C11—41no—
1094C22×C11—41no—
1095C22×C11—41no—
1096C22×C11—41no—
1097C22×C11—82no—
1098C22×C11—84no—
1099C22×C11—162no—
1100C22×C11C23×D411yescharacteristic
1101C4×C11—21no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—21no—
1105C4×C11—21no—
1106C4×C11—22no—
1107C4×C11—21no—
1108C4×C11—21no—
1109C4×C11—21no—
1110C4×C11—21no—
1111C4×C11—41no—
1112C4×C11—41no—
1113C4×C11—41no—
1114C4×C11—41no—
1115C4×C11—41no—
1116C4×C11—41no—
1117C4×C11—41no—
1118C4×C11—41no—
1119C4×C11—41no—
1120C4×C11—41no—
1121C4×C11—41no—
1122C4×C11C2×H(5,𝔽2)11yescharacteristic
1123C4×C11C2×H(5,𝔽2)11yescharacteristic
11242−1+4—42no—
11252−1+4—42no—
1126C2×#41—21no—
1127C2×#41—21no—
1128C2×#41—21no—
1129C2×#41—21no—
1130C2×#41—21no—
1131C2×#41—42no—
1132C2×#41—42no—
1133C2×#41C23×C1111yescharacteristic
1134C2×#41C23×C1111yescharacteristic
1135C2×#41C23×C1111yescharacteristic
1136C2×#41C23×C1111yescharacteristic
1137C2×#41C23×C1111yescharacteristic
1138C2×#41C23×C1111yescharacteristic
1139C2×#41C23×C1111yescharacteristic
1140C2×#41C23×C1111yescharacteristic
1141C2×#41C23×C1111yescharacteristic
1142C22×Q8—21no—
1143C22×Q8C23×C1111yescharacteristic
1144C22×Q8C23×C1111yescharacteristic
1145C22×Q8C23×C1111yescharacteristic
1146C22×Q8C23×C1111yescharacteristic
1147C22×Q8C23×C1111yescharacteristic
1148C22×D4—21no—
1149C22×D4C23×C1111yescharacteristic
1150C22×D4C23×C1111yescharacteristic
1151C23×C4—21no—
1152C23×C4C23×C1111yescharacteristic
1153#137—42no—
1154#137—42no—
1155AGL(1,ℤ/8)—42no—
1156AGL(1,ℤ/8)—42no—
1157#135—42no—
1158#135—42no—
1159C2×Q16—42no—
1160C2×Q16C23×C1111yescharacteristic
1161C2×Q16C23×C1111yescharacteristic
1162C2×Q16C23×C1111yescharacteristic
1163C2×Q16C23×C1111yescharacteristic
1164C2×Q16C23×C1111yescharacteristic
1165C2×Q16C23×C1111yescharacteristic
1166C2×Q16C23×C1111yescharacteristic
1167C2×Q16C23×C1111yescharacteristic
1168C2×SD16—42no—
1169C2×SD16C23×C1111yescharacteristic
1170C2×SD16C23×C1111yescharacteristic
1171C2×SD16C23×C1111yescharacteristic
1172C2×SD16C23×C1111yescharacteristic
1173C2×SD16C23×C1111yescharacteristic
1174C2×SD16C23×C1111yescharacteristic
1175C2×SD16C23×C1111yescharacteristic
1176C2×SD16C23×C1111yescharacteristic
1177C2×SD16C23×C1111yescharacteristic
1178C2×SD16C23×C1111yescharacteristic
1179C2×SD16C23×C1111yescharacteristic
1180C2×SD16C23×C1111yescharacteristic
1181C2×D8C23×C1111yescharacteristic
1182C2×D8C23×C1111yescharacteristic
1183C2×D8C23×C1111yescharacteristic
1184C2×D8C23×C1111yescharacteristic
1185C2×M16C23×C1111yescharacteristic
1186C2×M16C23×C1111yescharacteristic
1187C2×M16C23×C1111yescharacteristic
1188C2×M16C23×C1111yescharacteristic
1189C22×C8C23×C1111yescharacteristic
1190C22×C8C23×C1111yescharacteristic
1191C22×C8C23×C1111yescharacteristic
1192C22×C8C23×C1111yescharacteristic
1193C4⋊Q8—21no—
1194C4⋊Q8—21no—
1195C4⋊Q8—21no—
1196C4⋊Q8C23×C1111yescharacteristic
1197C4⋊Q8C23×C1111yescharacteristic
1198C4⋊Q8C23×C1111yescharacteristic
1199C4⋊Q8C23×C1111yescharacteristic
1200#127—21no—
1201#126—21no—
1202#126—21no—
1203#126—21no—
1204#126—21no—
1205#126—21no—
1206#126—21no—
1207#124—21no—
1208#124—21no—
1209#124—21no—
1210#124—21no—
1211#124—21no—
1212#124—21no—
1213#124—21no—
1214#124—21no—
1215#124—21no—
1216#124—21no—
1217#124—21no—
1218#124—21no—
1219#124—21no—
1220#124—21no—
1221#124C23×C1111yescharacteristic
1222#124C23×C1111yescharacteristic
1223#124C23×C1111yescharacteristic
1224#124C23×C1111yescharacteristic
1225#123—21no—
1226#123—21no—
1227#123—21no—
1228#123—21no—
1229#123—21no—
1230#123—21no—
1231#123—21no—
1232#123—21no—
1233#123—21no—
1234#123—21no—
1235#123—21no—
1236#123—21no—
1237#123—21no—
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123D4×C1111yescharacteristic
1242#123D4×C1111yescharacteristic
1243C22⋊Q8—21no—
1244C22⋊Q8—21no—
1245C22⋊Q8—21no—
1246C22⋊Q8—21no—
1247C22⋊Q8—21no—
1248C22⋊Q8—21no—
1249C22⋊Q8—21no—
1250C22⋊Q8—21no—
1251C22⋊Q8—21no—
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8D4×C1111yescharacteristic
1259C22⋊Q8D4×C1111yescharacteristic
1260C22⋊Q8C23×C1111yescharacteristic
1261C22⋊Q8C23×C1111yescharacteristic
1262C22⋊Q8C23×C1111yescharacteristic
1263C22⋊Q8C23×C1111yescharacteristic
1264C22⋊Q8C23×C1111yescharacteristic
1265C22⋊Q8C23×C1111yescharacteristic
1266C22⋊Q8C23×C1111yescharacteristic
1267C22⋊Q8C23×C1111yescharacteristic
1268C22⋊Q8C23×C1111yescharacteristic
1269C22⋊Q8C23×C1111yescharacteristic
1270C22⋊Q8C23×C1111yescharacteristic
1271C22⋊Q8C23×C1111yescharacteristic
1272#121—21no—
1273#121—21no—
1274#121—21no—
1275#121—21no—
1276#121—21no—
1277#121—21no—
1278#121—21no—
1279#121—21no—
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121D4×C1111yescharacteristic
1288#121D4×C1111yescharacteristic
1289#121C23×C1111yescharacteristic
1290#121C23×C1111yescharacteristic
1291#121C23×C1111yescharacteristic
1292#121C23×C1111yescharacteristic
1293#121C23×C1111yescharacteristic
1294#121C23×C1111yescharacteristic
1295#121C23×C1111yescharacteristic
1296#121C23×C1111yescharacteristic
1297#120—21no—
1298#120—21no—
1299#120—21no—
1300#120—21no—
1301#120—21no—
1302#120—21no—
1303#120—21no—
1304#120—21no—
1305#120D4×C1111yescharacteristic
1306#120D4×C1111yescharacteristic
1307C4×Q8—21no—
1308C4×Q8—21no—
1309C4×Q8C23×C1111yescharacteristic
1310C4×Q8C23×C1111yescharacteristic
1311C4×Q8C23×C1111yescharacteristic
1312C4×Q8C23×C1111yescharacteristic
1313C4×D4—21no—
1314C4×D4—21no—
1315C4×D4—21no—
1316C4×D4—21no—
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—21no—
1321C4×D4—21no—
1322C4×D4—21no—
1323C4×D4—21no—
1324C4×D4—21no—
1325C4×D4C23×C1111yescharacteristic
1326C4×D4C23×C1111yescharacteristic
1327C4×D4C23×C1111yescharacteristic
1328C4×D4C23×C1111yescharacteristic
1329C4×D4C23×C1111yescharacteristic
1330C4×D4C23×C1111yescharacteristic
1331C4×D4C23×C1111yescharacteristic
1332C4×D4C23×C1111yescharacteristic
1333#117—21no—
1334#117—21no—
1335#117—21no—
1336#117C23×C1111yescharacteristic
1337#117C23×C1111yescharacteristic
1338#117C23×C1111yescharacteristic
1339#117C23×C1111yescharacteristic
1340#117C23×C1111yescharacteristic
1341C2×C4⋊C4—21no—
1342C2×C4⋊C4—21no—
1343C2×C4⋊C4—21no—
1344C2×C4⋊C4—21no—
1345C2×C4⋊C4C23×C1111yescharacteristic
1346C2×C22⋊C4—21no—
1347C2×C22⋊C4—21no—
1348C2×C22⋊C4—21no—
1349C2×C22⋊C4—21no—
1350C2×C22⋊C4—21no—
1351#107C23×C1111yescharacteristic
1352#107C23×C1111yescharacteristic
1353#107C23×C1111yescharacteristic
1354#107C23×C1111yescharacteristic
1355#106C23×C1111yescharacteristic
1356#106C23×C1111yescharacteristic
1357#106C23×C1111yescharacteristic
1358#106C23×C1111yescharacteristic
1359C4⋊C8C23×C1111yescharacteristic
1360C4⋊C8C23×C1111yescharacteristic
1361C4⋊C8C23×C1111yescharacteristic
1362C4⋊C8C23×C1111yescharacteristic
1363#103C23×C1111yescharacteristic
1364#103C23×C1111yescharacteristic
1365#103C23×C1111yescharacteristic
1366#103C23×C1111yescharacteristic
1367#103C23×C1111yescharacteristic
1368#103C23×C1111yescharacteristic
1369#103C23×C1111yescharacteristic
1370#103C23×C1111yescharacteristic
1371#103C23×C1111yescharacteristic
1372#103C23×C1111yescharacteristic
1373#103C23×C1111yescharacteristic
1374#103C23×C1111yescharacteristic
1375#103C23×C1111yescharacteristic
1376#103C23×C1111yescharacteristic
1377#103C23×C1111yescharacteristic
1378#103C23×C1111yescharacteristic
1379#103C23×C1111yescharacteristic
1380#103C23×C1111yescharacteristic
1381#103C23×C1111yescharacteristic
1382#103C23×C1111yescharacteristic
1383#102C23×C1111yescharacteristic
1384#102C23×C1111yescharacteristic
1385#102C23×C1111yescharacteristic
1386#102C23×C1111yescharacteristic
1387#102C23×C1111yescharacteristic
1388#102C23×C1111yescharacteristic
1389#102C23×C1111yescharacteristic
1390#102C23×C1111yescharacteristic
1391#102C23×C1111yescharacteristic
1392#102C23×C1111yescharacteristic
1393#102C23×C1111yescharacteristic
1394#102C23×C1111yescharacteristic
1395C22⋊C8C23×C1111yescharacteristic
1396C22⋊C8C23×C1111yescharacteristic
1397C22⋊C8C23×C1111yescharacteristic
1398C22⋊C8C23×C1111yescharacteristic
1399C22⋊C8C23×C1111yescharacteristic
1400C22⋊C8C23×C1111yescharacteristic
1401C22⋊C8C23×C1111yescharacteristic
1402C22⋊C8C23×C1111yescharacteristic
1403C22⋊C8C23×C1111yescharacteristic
1404C22⋊C8C23×C1111yescharacteristic
1405C22⋊C8C23×C1111yescharacteristic
1406C22⋊C8C23×C1111yescharacteristic
1407#97C23×C1111yescharacteristic
1408#97C23×C1111yescharacteristic
1409C4×C8C23×C1111yescharacteristic
1410C4×C8C23×C1111yescharacteristic
1411C2×C11—41no—
1412C2×C11—41no—
1413C2×C11—41no—
1414C2×C11—41no—
1415C2×C11—41no—
1416C2×C11—42no—
1417C2×C11—81no—
1418C2×C11—81no—
1419C2×C11—81no—
1420C2×C11#348411yescharacteristic
1421C2×C11#358411yescharacteristic
1422C2×C11#358611yescharacteristic
1423C24—21no—
1424C24—21no—
1425C24C2×D4×C1111yescharacteristic
1426#41—22no—
1427#41—22no—
1428#41—22no—
1429#41—22no—
1430#41—22no—
1431#41—22no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—44no—
1441#41—44no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—44no—
1447#41—44no—
1448#41—44no—
1449C2×Q8—21no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—22no—
1457C2×Q8—22no—
1458C2×Q8—22no—
1459C2×Q8—41no—
1460C2×Q8—41no—
1461C2×Q8—41no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—44no—
1465C2×Q8—41no—
1466C2×Q8—41no—
1467C2×Q8C2×D4×C1111yescharacteristic
1468C2×Q8C24×C1111yescharacteristic
1469C2×Q8C24×C1111yescharacteristic
1470C2×Q8C24×C1111yescharacteristic
1471C2×Q8C24×C1111yescharacteristic
1472C2×Q8C24×C1111yescharacteristic
1473C2×Q8C24×C1111yescharacteristic
1474C2×D4—21no—
1475C2×D4—22no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—41no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—44no—
1497C2×D4C2×D4×C1111yescharacteristic
1498C2×D4C2×D4×C1111yescharacteristic
1499C2×D4C2×D4×C1111yescharacteristic
1500C2×D4C2×D4×C1111yescharacteristic
1501C2×D4C2×D4×C1111yescharacteristic
1502C2×D4C2×D4×C1111yescharacteristic
1503C2×D4C2×D4×C1111yescharacteristic
1504C2×D4C24×C1111yescharacteristic
1505C2×D4C24×C1111yescharacteristic
1506C2×D4C24×C1111yescharacteristic
1507C2×D4C24×C1111yescharacteristic
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—41no—
1527C22×C4—41no—
1528C22×C4—44no—
1529C22×C4C2×D4×C1111yescharacteristic
1530C22×C4C2×D4×C1111yescharacteristic
1531C22×C4C2×D4×C1111yescharacteristic
1532C22×C4C24×C1111yescharacteristic
1533C22×C4C24×C1111yescharacteristic
1534C22×C4C24×C1111yescharacteristic
1535C22×C4C24×C1111yescharacteristic
1536C22×C4C24×C1111yescharacteristic
1537Q16—22no—
1538Q16—22no—
1539Q16—41no—
1540Q16—41no—
1541Q16—41no—
1542Q16—41no—
1543Q16—41no—
1544Q16—41no—
1545SD16—22no—
1546SD16—22no—
1547SD16—22no—
1548SD16—22no—
1549SD16—41no—
1550SD16—41no—
1551SD16—41no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557D8—22no—
1558D8—22no—
1559D8—41no—
1560D8—41no—
1561M16—41no—
1562M16—41no—
1563M16—41no—
1564M16—41no—
1565C2×C8—41no—
1566C2×C8—41no—
1567C2×C8—41no—
1568C2×C8—41no—
1569C2×C8C24×C1111yescharacteristic
1570C2×C8C24×C1111yescharacteristic
1571C2×C8C24×C1111yescharacteristic
1572C2×C8C24×C1111yescharacteristic
1573C2×C8C24×C1111yescharacteristic
1574C2×C8C24×C1111yescharacteristic
1575C2×C8C24×C1111yescharacteristic
1576C2×C8C24×C1111yescharacteristic
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4C2×D4×C1111yescharacteristic
1601C4⋊C4C2×D4×C1111yescharacteristic
1602C4⋊C4C2×D4×C1111yescharacteristic
1603C4⋊C4C2×D4×C1111yescharacteristic
1604C4⋊C4C2×D4×C1111yescharacteristic
1605C4⋊C4C2×D4×C1111yescharacteristic
1606C4⋊C4C24×C1111yescharacteristic
1607C4⋊C4C24×C1111yescharacteristic
1608C4⋊C4C24×C1111yescharacteristic
1609C4⋊C4C24×C1111yescharacteristic
1610C4⋊C4C24×C1111yescharacteristic
1611C4⋊C4C24×C1111yescharacteristic
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4C2×D4×C1111yescharacteristic
1649C22⋊C4C2×D4×C1111yescharacteristic
1650C22⋊C4C2×D4×C1111yescharacteristic
1651C22⋊C4C2×D4×C1111yescharacteristic
1652C22⋊C4C2×D4×C1111yescharacteristic
1653C22⋊C4C2×D4×C1111yescharacteristic
1654C22⋊C4C2×D4×C1111yescharacteristic
1655C22⋊C4C2×D4×C1111yescharacteristic
1656C22⋊C4C2×D4×C1111yescharacteristic
1657C22⋊C4C2×D4×C1111yescharacteristic
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—21no—
1662C42—21no—
1663C42—21no—
1664C42—21no—
1665C42—21no—
1666C42C24×C1111yescharacteristic
1667C42C24×C1111yescharacteristic
1668C11#6162711yescharacteristic, direct product factor, Sylow
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—41no—
1674C23—41no—
1675C23—41no—
1676C23—42no—
1677C23—42no—
1678C23—81no—
1679C23—81no—
1680C23—81no—
1681C23—81no—
1682C23C22×D4×C1111yescharacteristic
1683C23C22×D4×C1111yescharacteristic
1684C23C22×D4×C1111yescharacteristic
1685C23C22×D4×C1111yescharacteristic
1686C23C22×D4×C1111yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—21no—
1698Q8—41no—
1699Q8—42no—
1700Q8—42no—
1701Q8—42no—
1702Q8—42no—
1703Q8—81no—
1704Q8—81no—
1705Q8—81no—
1706Q8C11×H(5,𝔽2)12yes—
1707D4—24no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—41no—
1716D4—41no—
1717D4—41no—
1718D4—41no—
1719D4—41no—
1720D4—41no—
1721D4—41no—
1722D4—42no—
1723D4—42no—
1724D4—42no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—81no—
1739D4C11×H(5,𝔽2)12yes—
1740C2×C4—24no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—42no—
1774C2×C4—42no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—81no—
1783C2×C4C22×D4×C1111yescharacteristic
1784C2×C4C22×D4×C1111yescharacteristic
1785C2×C4C22×D4×C1111yescharacteristic
1786C2×C4C22×D4×C1111yescharacteristic
1787C2×C4C22×D4×C1111yescharacteristic
1788C2×C4C22×D4×C1111yescharacteristic
1789C2×C4C22×D4×C1111yescharacteristic
1790C2×C4C22×D4×C1111yescharacteristic
1791C2×C4C22×D4×C1111yescharacteristic
1792C2×C4C25×C1111yescharacteristic
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C22—21no—
1802C22—22no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—82no—
1829C22—84no—
1830C22—162no—
1831C22C23×D4×C1111yescharacteristic
1832C4—21no—
1833C4—22no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—21no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4C2×C11×H(5,𝔽2)11yescharacteristic
1854C4C2×C11×H(5,𝔽2)11yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—81no—
1864C2C11×#348411yescharacteristic
1865C2C11×#358411yescharacteristic
1866C2C11×#358611yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C11×#525 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3540C2semidirect
2. C11×#3489C2semidirect
3. C11×#3329C2semidirect
4. C11×#3328C2semidirect
5. C11×#3321C2semidirect
6. C11×#3319C2semidirect
7. C11×#3313C2semidirect
8. C11×#3311C2semidirect
9. C11×#3303C2semidirect
10. C11×#3302C2semidirect
11. C11×#3285C2semidirect
12. C11×#3282C2semidirect
13. C11×#3275C2semidirect
14. C11×#3273C2semidirect
15. C11×#3270C2semidirect
16. C11×#3269C2semidirect
17. C11×#3267C2semidirect
18. C11×#3266C2semidirect
19. C11×#3225C2semidirect
20. C11×#3225C2semidirect
21. C11×#3201C2semidirect
22. C11×#3198C2semidirect
23. C11×#3196C2semidirect
24. C11×#3190C2semidirect
25. C11×#3125C2semidirect
26. C11×#3124C2semidirect
27. C11×#3011C2semidirect
28. C11×#3010C2semidirect
29. C11×#3005C2semidirect
30. C11×#3002C2semidirect
31. C11×#2976C2semidirect
33. C22×C11×#41C22semidirect
35. C2×C11×#137C22semidirect
37. C2×C11×AGL(1,ℤ/8)C22semidirect
40. C22×C11×Q16C22semidirect
41. C22×C11×SD16C22semidirect
46. C11×#556C22semidirect
48. C11×#555C22semidirect
51. D4×Q8×C11C22semidirect
54. C11×#548C22semidirect
55. C11×#548C22semidirect
59. C11×#547C22semidirect
64. C11×#546C22semidirect
65. C11×#546C22semidirect
68. C11×#542C22semidirect
69. C11×#542C22semidirect
75. C11×#536C22semidirect
76. C11×#536C22semidirect
77. C11×#535C22semidirect
83. C2×C11×C22⋊Q8C22semidirect
84. C11×#520C22semidirect
85. C11×#497C22semidirect
86. C11×#497C22semidirect
87. C11×#495C22semidirect
88. C11×#495C22semidirect
89. C11×#489C22semidirect
90. C11×#489C22semidirect
91. C11×#487C22semidirect
92. C11×#487C22semidirect
93. C11×#485C22semidirect
94. C11×#485C22semidirect
95. C11×#485C22semidirect
96. C11×#485C22semidirect
97. C11×#485C22semidirect
98. C11×#485C22semidirect
99. C11×#484C22semidirect
100. C11×#483C22semidirect
101. C11×#482C22semidirect
102. C11×#482C22semidirect
103. C11×#481C22semidirect
104. C11×#480C22semidirect
105. C11×#477C22semidirect
106. C11×#476C22semidirect
107. C11×#475C22semidirect
108. C11×#474C22semidirect
109. C11×#470C22semidirect
110. C11×#470C22semidirect
111. C11×#470C22semidirect
112. C11×#469C22semidirect
115. C11×#468C22semidirect
116. C11×#468C22semidirect
117. C11×#467C22semidirect
118. C11×#467C22semidirect
119. C11×#467C22semidirect
120. C11×#466C22semidirect
121. C11×#465C22semidirect
122. C11×#465C22semidirect
123. C11×#465C22semidirect
124. C11×#465C22semidirect
125. C11×#464C22semidirect
126. C11×#464C22semidirect
127. C11×#464C22semidirect
128. C11×#464C22semidirect
129. C11×#463C22semidirect
130. C11×#463C22semidirect
131. C11×#463C22semidirect
132. C11×#463C22semidirect
133. C11×#462C22semidirect
134. C11×#462C22semidirect
135. C11×#461C22semidirect
136. C11×#461C22semidirect
139. C11×#452C22semidirect
140. C11×#452C22semidirect
141. C11×#452C22semidirect
142. C11×#452C22semidirect
143. C11×#452C22semidirect
144. C11×#452C22semidirect
145. C11×#452C22semidirect
146. C11×#452C22semidirect
147. C11×#452C22semidirect
148. C11×#452C22semidirect
149. C11×#451C22semidirect
150. C11×#451C22semidirect
151. C11×#451C22semidirect
152. C11×#451C22semidirect
153. C11×#451C22semidirect
154. C11×#451C22semidirect
155. C11×#450C22semidirect
156. C11×#450C22semidirect
163. C11×#449C22semidirect
164. C11×#449C22semidirect
166. C11×#448C22semidirect
167. C11×#448C22semidirect
168. C11×#448C22semidirect
169. C11×#448C22semidirect
170. C11×#448C22semidirect
172. C11×#447C22semidirect
173. C11×#442C22semidirect
174. C11×#441C22semidirect
175. C11×#440C22semidirect
176. C11×#440C22semidirect
177. C4×C11×Q16C22semidirect
178. C4×C11×SD16C22semidirect
179. C4×C11×SD16C22semidirect
180. C4×C11×D8C22semidirect
182. C11×#436C22semidirect
184. C11×#435C22semidirect
185. C11×#435C22semidirect
186. C11×#435C22semidirect
187. C8×D4×C11C22semidirect
188. C8×D4×C11C22semidirect
189. C11×#433C22semidirect
190. C11×#433C22semidirect
191. C11×#419C22semidirect
192. C11×#419C22semidirect
193. C11×#419C22semidirect
194. C11×#418C22semidirect
195. C11×#416C22semidirect
196. C11×#416C22semidirect
197. C11×#416C22semidirect
198. C11×#416C22semidirect
199. C11×#408C22semidirect
200. C11×#408C22semidirect
201. C11×#407C22semidirect
202. C2×C11×C22⋊C8C22semidirect
490. #61627C11direct (N × H)
736. #3540C2×C11semidirect
737. #3489C2×C11semidirect
738. #3329C2×C11semidirect
739. #3328C2×C11semidirect
740. #3321C2×C11semidirect
741. #3319C2×C11semidirect
742. #3313C2×C11semidirect
743. #3311C2×C11semidirect
744. #3303C2×C11semidirect
745. #3302C2×C11semidirect
746. #3285C2×C11semidirect
747. #3282C2×C11semidirect
748. #3275C2×C11semidirect
749. #3273C2×C11semidirect
750. #3270C2×C11semidirect
751. #3269C2×C11semidirect
752. #3267C2×C11semidirect
753. #3266C2×C11semidirect
754. #3225C2×C11semidirect
755. #3225C2×C11semidirect
756. #3201C2×C11semidirect
757. #3198C2×C11semidirect
758. #3196C2×C11semidirect
759. #3190C2×C11semidirect
760. #3125C2×C11semidirect
761. #3124C2×C11semidirect
762. #3011C2×C11semidirect
763. #3010C2×C11semidirect
764. #3005C2×C11semidirect
765. #3002C2×C11semidirect
766. #2976C2×C11semidirect
900. C22×#41C22×C11semidirect
902. C2×#137C22×C11semidirect
904. C2×AGL(1,ℤ/8)C22×C11semidirect
907. C22×Q16C22×C11semidirect
908. C22×SD16C22×C11semidirect
913. #556C22×C11semidirect
915. #555C22×C11semidirect
918. D4×Q8C22×C11semidirect
921. #548C22×C11semidirect
922. #548C22×C11semidirect
926. #547C22×C11semidirect
931. #546C22×C11semidirect
932. #546C22×C11semidirect
935. #542C22×C11semidirect
936. #542C22×C11semidirect
942. #536C22×C11semidirect
943. #536C22×C11semidirect
944. #535C22×C11semidirect
950. C2×C22⋊Q8C22×C11semidirect
951. #520C22×C11semidirect
952. #497C22×C11semidirect
953. #497C22×C11semidirect
954. #495C22×C11semidirect
955. #495C22×C11semidirect
956. #489C22×C11semidirect
957. #489C22×C11semidirect
958. #487C22×C11semidirect
959. #487C22×C11semidirect
960. #485C22×C11semidirect
961. #485C22×C11semidirect
962. #485C22×C11semidirect
963. #485C22×C11semidirect
964. #485C22×C11semidirect
965. #485C22×C11semidirect
966. #484C22×C11semidirect
967. #483C22×C11semidirect
968. #482C22×C11semidirect
969. #482C22×C11semidirect
970. #481C22×C11semidirect
971. #480C22×C11semidirect
972. #477C22×C11semidirect
973. #476C22×C11semidirect
974. #475C22×C11semidirect
975. #474C22×C11semidirect
976. #470C22×C11semidirect
977. #470C22×C11semidirect
978. #470C22×C11semidirect
979. #469C22×C11semidirect
982. #468C22×C11semidirect
983. #468C22×C11semidirect
984. #467C22×C11semidirect
985. #467C22×C11semidirect
986. #467C22×C11semidirect
987. #466C22×C11semidirect
988. #465C22×C11semidirect
989. #465C22×C11semidirect
990. #465C22×C11semidirect
991. #465C22×C11semidirect
992. #464C22×C11semidirect
993. #464C22×C11semidirect
994. #464C22×C11semidirect
995. #464C22×C11semidirect
996. #463C22×C11semidirect
997. #463C22×C11semidirect
998. #463C22×C11semidirect
999. #463C22×C11semidirect
1000. #462C22×C11semidirect
1001. #462C22×C11semidirect
1002. #461C22×C11semidirect
1003. #461C22×C11semidirect
1006. #452C22×C11semidirect
1007. #452C22×C11semidirect
1008. #452C22×C11semidirect
1009. #452C22×C11semidirect
1010. #452C22×C11semidirect
1011. #452C22×C11semidirect
1012. #452C22×C11semidirect
1013. #452C22×C11semidirect
1014. #452C22×C11semidirect
1015. #452C22×C11semidirect
1016. #451C22×C11semidirect
1017. #451C22×C11semidirect
1018. #451C22×C11semidirect
1019. #451C22×C11semidirect
1020. #451C22×C11semidirect
1021. #451C22×C11semidirect
1022. #450C22×C11semidirect
1023. #450C22×C11semidirect
1030. #449C22×C11semidirect
1031. #449C22×C11semidirect
1033. #448C22×C11semidirect
1034. #448C22×C11semidirect
1035. #448C22×C11semidirect
1036. #448C22×C11semidirect
1037. #448C22×C11semidirect
1039. #447C22×C11semidirect
1040. #442C22×C11semidirect
1041. #441C22×C11semidirect
1042. #440C22×C11semidirect
1043. #440C22×C11semidirect
1044. C4×Q16C22×C11semidirect
1045. C4×SD16C22×C11semidirect
1046. C4×SD16C22×C11semidirect
1047. C4×D8C22×C11semidirect
1049. #436C22×C11semidirect
1051. #435C22×C11semidirect
1052. #435C22×C11semidirect
1053. #435C22×C11semidirect
1054. C8×D4C22×C11semidirect
1055. C8×D4C22×C11semidirect
1056. #433C22×C11semidirect
1057. #433C22×C11semidirect
1058. #419C22×C11semidirect
1059. #419C22×C11semidirect
1060. #419C22×C11semidirect
1061. #418C22×C11semidirect
1062. #416C22×C11semidirect
1063. #416C22×C11semidirect
1064. #416C22×C11semidirect
1065. #416C22×C11semidirect
1066. #408C22×C11semidirect
1067. #408C22×C11semidirect
1068. #407C22×C11semidirect
1069. C2×C22⋊C8C22×C11semidirect
1668. C11#61627direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35402
C11×#34892
C11×#33292
C11×#33282
C11×#33212
C11×#33192
C11×#33132
C11×#33112
C11×#33032
C11×#33022
C11×#32852
C11×#32822
C11×#32752
C11×#32732
C11×#32702
C11×#32692
C11×#32672
C11×#32662
C11×#32252
C11×#32012
C11×#31982
C11×#31962
C11×#31902
C11×#31252
C11×#31242
C11×#30112
C11×#30102
C11×#30052
C11×#30022
C11×#29762
#6162711