Finite Group Databasebeta

← C11×#62010 #14639203

Subgroups — C11×#62010 #14639203

Order 2816.

1768 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3552C211yesmaximal, characteristic, complemented
2C11×#3516C211yesmaximal, characteristic, complemented
3C11×#3402C211yesmaximal, characteristic, complemented
4C11×#3398C211yesmaximal, characteristic, complemented
5C11×#3377C211yesmaximal, characteristic, complemented
6C11×#3374C211yesmaximal, characteristic, complemented
7C11×#3320C211yesmaximal, characteristic, complemented
8C11×#3316C211yesmaximal, characteristic, complemented
9C11×#3315C211yesmaximal, characteristic, complemented
10C11×#3312C211yesmaximal, characteristic, complemented
11C11×#3301C211yesmaximal, characteristic, complemented
12C11×#3299C211yesmaximal, characteristic, complemented
13D4×C11×Q16C211yesmaximal, characteristic, complemented
14C11×#3285C211yesmaximal, characteristic, complemented
15C11×#3270C211yesmaximal, characteristic, complemented
16C11×#3270C211yesmaximal, characteristic, complemented
17C11×#3270C211yesmaximal, characteristic, complemented
18C11×#3269C211yesmaximal, characteristic, complemented
19C11×#3261C211yesmaximal, characteristic, complemented
20C11×#3258C211yesmaximal, characteristic, complemented
21C11×#3250C211yesmaximal, characteristic, complemented
22C11×#3225C211yesmaximal, characteristic, complemented
23C11×#3223C211yesmaximal, characteristic, complemented
24C11×#3218C211yesmaximal, characteristic, complemented
25C11×#3127C211yesmaximal, characteristic, complemented
26C11×#3120C211yesmaximal, characteristic, complemented
27C11×#3117C211yesmaximal, characteristic, complemented
28C11×#3046C211yesmaximal, characteristic, complemented
29C11×#3044C211yesmaximal, characteristic, complemented
30C2×C11×#462C211yesmaximal, characteristic, complemented
31C11×#2992C211yesmaximal, characteristic, complemented
32C2×C11×#137C2211yescharacteristic
33C2×C11×#137C2211yescharacteristic
34C2×C11×#135C2211yescharacteristic
35C22×C11×Q16C2211yescharacteristic
36C22×C11×Q16C2211yescharacteristic
37C22×C11×Q16C2211yescharacteristic
38C11×#563—21no—
39C11×#563—21no—
40C11×#557C2211yescharacteristic
41C11×#557C2211yescharacteristic
42C11×#556—21no—
43C11×#556C2211yescharacteristic
44C11×#556C2211yescharacteristic
45C11×#554—21no—
46C11×#554—21no—
47C11×#554C2211yescharacteristic
48C11×#553—21no—
49C11×#553—21no—
50C11×#553C2211yescharacteristic
51C11×#552—21no—
52C11×#552C2211yescharacteristic
53D4×Q8×C11C2211yescharacteristic
54D4×Q8×C11C2211yescharacteristic
55D4×Q8×C11C2211yescharacteristic
56D4×Q8×C11C2211yescharacteristic
57C11×#548C2211yescharacteristic
58C11×#548C2211yescharacteristic
59C11×#548C2211yescharacteristic
60C11×#548C2211yescharacteristic
61C11×#547C2211yescharacteristic
62C11×#544—21no—
63C11×#542—21no—
64C11×#542—21no—
65C11×#542C2211yescharacteristic
66C11×#541—21no—
67C11×#541C2211yescharacteristic
68C11×#541C2211yescharacteristic
69C11×#541C2211yescharacteristic
70C11×#539—21no—
71C11×#539—21no—
72C11×#536C2211yescharacteristic
73C11×#536C2211yescharacteristic
74C2×C11×C4⋊Q8C2211yescharacteristic
75C11×#529—21no—
76C11×#529—21no—
77C11×#529C2211yescharacteristic
78C11×#529C2211yescharacteristic
79C11×#529C2211yescharacteristic
80C11×#520C2211yescharacteristic
81C11×#519C2211yescharacteristic
82C2×C4×Q8×C11C2211yescharacteristic
83C11×#497C2211yescharacteristic
84C11×#497C2211yescharacteristic
85C11×#497C2211yescharacteristic
86C11×#497C2211yescharacteristic
87C11×#495C2211yescharacteristic
88C11×#494C2211yescharacteristic
89C11×#491C2211yescharacteristic
90C11×#491C2211yescharacteristic
91C11×#491C2211yescharacteristic
92C11×#489C2211yescharacteristic
93C11×#488C2211yescharacteristic
94C11×#487C2211yescharacteristic
95C11×#485C2211yescharacteristic
96C11×#485C2211yescharacteristic
97C11×#484C2211yescharacteristic
98C11×#484C2211yescharacteristic
99C11×#483C2211yescharacteristic
100C11×#481C2211yescharacteristic
101C11×#479C2211yescharacteristic
102C11×#479C2211yescharacteristic
103C11×#479C2211yescharacteristic
104C11×#479C2211yescharacteristic
105C11×#479C2211yescharacteristic
106C11×#479C2211yescharacteristic
107C11×#478C2211yescharacteristic
108C11×#478C2211yescharacteristic
109C11×#477C2211yescharacteristic
110C11×#475C2211yescharacteristic
111C11×#470C2211yescharacteristic
112C11×#470C2211yescharacteristic
113C11×#470C2211yescharacteristic
114C11×#468C2211yescharacteristic
115C11×#467C2211yescharacteristic
116C11×#467C2211yescharacteristic
117C11×#467C2211yescharacteristic
118C11×#467C2211yescharacteristic
119C11×#466C2211yescharacteristic
120C11×#465C2211yescharacteristic
121C11×#465C2211yescharacteristic
122C11×#465C2211yescharacteristic
123C11×#464C2211yescharacteristic
124C11×#464C2211yescharacteristic
125C11×#464C2211yescharacteristic
126C11×#464C2211yescharacteristic
127C11×#464C2211yescharacteristic
128C11×#464C2211yescharacteristic
129C11×#464C2211yescharacteristic
130C11×#464C2211yescharacteristic
131C11×#464C2211yescharacteristic
132C11×#463C2211yescharacteristic
133C11×#463C2211yescharacteristic
134C11×#463C2211yescharacteristic
135C11×#462C2211yescharacteristic
136C11×#462C2211yescharacteristic
137C11×#462C2211yescharacteristic
138C11×#462C2211yescharacteristic
139C11×#462C2211yescharacteristic
140C11×#462C2211yescharacteristic
141C11×#462C2211yescharacteristic
142C11×#462C2211yescharacteristic
143C11×#462C2211yescharacteristic
144C11×#462C2211yescharacteristic
145C11×#462C2211yescharacteristic
146C11×#462C2211yescharacteristic
147C11×#462C2211yescharacteristic
148C11×#462C2211yescharacteristic
149C11×#462C2211yescharacteristic
150C11×#461C2211yescharacteristic
151C11×#461C2211yescharacteristic
152C11×#461C2211yescharacteristic
153C11×#452C2211yescharacteristic
154C11×#452C2211yescharacteristic
155C11×#452C2211yescharacteristic
156C11×#452C2211yescharacteristic
157C11×#452C2211yescharacteristic
158C11×#451C2211yescharacteristic
159C11×#451C2211yescharacteristic
160C11×#451C2211yescharacteristic
161C11×#451C2211yescharacteristic
162C11×#451C2211yescharacteristic
163C11×#451C2211yescharacteristic
164C11×#451C2211yescharacteristic
165C11×#451C2211yescharacteristic
166C11×#449C2211yescharacteristic
167C11×#448C2211yescharacteristic
168C11×#448C2211yescharacteristic
169C11×#448C2211yescharacteristic
170C11×#448C2211yescharacteristic
171C11×#446C2211yescharacteristic
172C11×#446C2211yescharacteristic
173C11×#441C2211yescharacteristic
174C11×#441C2211yescharacteristic
175C11×#441C2211yescharacteristic
176C11×#441C2211yescharacteristic
177C11×#441C2211yescharacteristic
178C11×#440C2211yescharacteristic
179C11×#440C2211yescharacteristic
180C11×#440C2211yescharacteristic
181C4×C11×Q16C2211yescharacteristic
182C4×C11×Q16C2211yescharacteristic
183C4×C11×Q16C2211yescharacteristic
184C4×C11×SD16C2211yescharacteristic
185C11×#435C2211yescharacteristic
186C11×#435C2211yescharacteristic
187C11×#435C2211yescharacteristic
188C11×#435C2211yescharacteristic
189C8×D4×C11C2211yescharacteristic
190C8×D4×C11C2211yescharacteristic
191C11×#433C2211yescharacteristic
192C11×#433C2211yescharacteristic
193C11×#432C2211yescharacteristic
194C11×#424C2211yescharacteristic
195C11×#424C2211yescharacteristic
196C2×C11×C4⋊C8C2211yescharacteristic
197C11×#419C2211yescharacteristic
198C11×#417C2211yescharacteristic
199C11×#416C2211yescharacteristic
200C2×C11×#103C2211yescharacteristic
201C2×C11×#103C2211yescharacteristic
202C2×C11×#103C2211yescharacteristic
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C22×Q8×C11C2311yescharacteristic
207C22×Q8×C11C2311yescharacteristic
208C22×Q8×C11C2311yescharacteristic
209C22×Q8×C11C2311yescharacteristic
210C22×Q8×C11C2311yescharacteristic
211C22×Q8×C11C2311yescharacteristic
212C11×#137—42no—
213C11×#137—42no—
214C11×#135—42no—
215C2×C11×Q16—42no—
216C2×C11×Q16—42no—
217C2×C11×Q16—42no—
218C2×C11×Q16C2311yescharacteristic
219C2×C11×Q16C2311yescharacteristic
220C2×C11×Q16C2311yescharacteristic
221C2×C11×Q16C2311yescharacteristic
222C2×C11×Q16C2311yescharacteristic
223C2×C11×Q16C2311yescharacteristic
224C2×C11×Q16C2311yescharacteristic
225C2×C11×Q16C2311yescharacteristic
226C2×C11×Q16C2311yescharacteristic
227C2×C11×Q16C2311yescharacteristic
228C2×C11×Q16C2311yescharacteristic
229C2×C11×Q16C2311yescharacteristic
230C2×C11×Q16C2311yescharacteristic
231C2×C11×Q16C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×SD16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×SD16C2311yescharacteristic
239C2×C11×SD16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×D8C2311yescharacteristic
242C2×C11×M16C2311yescharacteristic
243C2×C11×M16C2311yescharacteristic
244C22×C8×C11C2311yescharacteristic
245C22×C8×C11C2311yescharacteristic
246C22×C8×C11C2311yescharacteristic
247C22×C8×C11C2311yescharacteristic
248C11×C4⋊Q8—21no—
249C11×C4⋊Q8—21no—
250C11×C4⋊Q8—21no—
251C11×C4⋊Q8—21no—
252C11×C4⋊Q8—21no—
253C11×C4⋊Q8—21no—
254C11×C4⋊Q8—21no—
255C11×C4⋊Q8C2311yescharacteristic
256C11×C4⋊Q8C2311yescharacteristic
257C11×C4⋊Q8C2311yescharacteristic
258C11×C4⋊Q8C2311yescharacteristic
259C11×C4⋊Q8C2311yescharacteristic
260C11×C4⋊Q8C2311yescharacteristic
261C11×C4⋊Q8C2311yescharacteristic
262C11×C4⋊Q8C2311yescharacteristic
263C11×#126—21no—
264C11×#126—21no—
265C11×#126—21no—
266C11×#126—21no—
267C11×#126—21no—
268C11×#126—21no—
269C11×#126—21no—
270C11×#126—21no—
271C11×#126—21no—
272C11×#126—21no—
273C11×#126—21no—
274C11×#126—21no—
275C11×#126—21no—
276C11×#126—21no—
277C11×#126—21no—
278C11×#126D411yescharacteristic
279C11×#126D411yescharacteristic
280C11×#125—21no—
281C11×#125—21no—
282C11×#125—21no—
283C11×#125—21no—
284C11×#125—21no—
285C11×#125—21no—
286C11×#125—21no—
287C11×#125—21no—
288C11×#125—21no—
289C11×#125—21no—
290C11×#125—21no—
291C11×#125—21no—
292C11×#125—21no—
293C11×#125D411yescharacteristic
294C11×#125C2311yescharacteristic
295C11×#125C2311yescharacteristic
296C11×#125C2311yescharacteristic
297C11×#124—21no—
298C11×#124—21no—
299C11×#124—21no—
300C11×#124—21no—
301C11×#124—21no—
302C11×#124D411yescharacteristic
303C11×#124C2311yescharacteristic
304C11×#124C2311yescharacteristic
305C11×#124C2311yescharacteristic
306C11×#124C2311yescharacteristic
307C11×#124C2311yescharacteristic
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×#123D411yescharacteristic
320C11×#123D411yescharacteristic
321C11×C22⋊Q8—21no—
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⋊Q8—21no—
338C11×C22⋊Q8—21no—
339C11×C22⋊Q8—21no—
340C11×C22⋊Q8—21no—
341C11×C22⋊Q8—21no—
342C11×C22⋊Q8D411yescharacteristic
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×C22⋊Q8C2311yescharacteristic
352C11×#121—21no—
353C11×#121—21no—
354C11×#121—21no—
355C11×#121—21no—
356C11×#121—21no—
357C11×#121—21no—
358C11×#121D411yescharacteristic
359C11×#121C2311yescharacteristic
360C11×#121C2311yescharacteristic
361C11×#121C2311yescharacteristic
362C4×Q8×C11—21no—
363C4×Q8×C11—21no—
364C4×Q8×C11—21no—
365C4×Q8×C11—21no—
366C4×Q8×C11—21no—
367C4×Q8×C11—21no—
368C4×Q8×C11C2311yescharacteristic
369C4×Q8×C11C2311yescharacteristic
370C4×Q8×C11C2311yescharacteristic
371C4×Q8×C11C2311yescharacteristic
372C4×Q8×C11C2311yescharacteristic
373C4×Q8×C11C2311yescharacteristic
374C4×Q8×C11C2311yescharacteristic
375C4×Q8×C11C2311yescharacteristic
376C4×Q8×C11C2311yescharacteristic
377C4×Q8×C11C2311yescharacteristic
378C4×Q8×C11C2311yescharacteristic
379C4×Q8×C11C2311yescharacteristic
380C4×Q8×C11C2311yescharacteristic
381C4×Q8×C11C2311yescharacteristic
382C4×D4×C11—21no—
383C4×D4×C11—21no—
384C4×D4×C11—21no—
385C4×D4×C11—21no—
386C4×D4×C11—21no—
387C4×D4×C11—21no—
388C4×D4×C11—21no—
389C4×D4×C11—21no—
390C4×D4×C11—21no—
391C4×D4×C11—21no—
392C4×D4×C11—21no—
393C4×D4×C11—21no—
394C4×D4×C11—21no—
395C4×D4×C11—21no—
396C4×D4×C11C2311yescharacteristic
397C4×D4×C11C2311yescharacteristic
398C4×D4×C11C2311yescharacteristic
399C4×D4×C11C2311yescharacteristic
400C4×D4×C11C2311yescharacteristic
401C4×D4×C11C2311yescharacteristic
402C11×#117—21no—
403C11×#117—21no—
404C11×#117—21no—
405C11×#117—21no—
406C11×#117—21no—
407C11×#117—21no—
408C11×#117—21no—
409C11×#117—21no—
410C11×#117C2311yescharacteristic
411C11×#117C2311yescharacteristic
412C11×#117C2311yescharacteristic
413C2×C11×C4⋊C4—21no—
414C2×C11×C4⋊C4—21no—
415C2×C11×C4⋊C4—21no—
416C2×C11×C4⋊C4—21no—
417C2×C11×C4⋊C4—21no—
418C2×C11×C4⋊C4C2311yescharacteristic
419C2×C11×C4⋊C4C2311yescharacteristic
420C2×C42×C11—21no—
421C2×C42×C11C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×#107C2311yescharacteristic
424C11×#107C2311yescharacteristic
425C11×#107C2311yescharacteristic
426C11×#106C2311yescharacteristic
427C11×#106C2311yescharacteristic
428C11×#106C2311yescharacteristic
429C11×#106C2311yescharacteristic
430C11×C4⋊C8C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×C4⋊C8C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×C4⋊C8C2311yescharacteristic
435C11×C4⋊C8C2311yescharacteristic
436C11×C4⋊C8C2311yescharacteristic
437C11×C4⋊C8C2311yescharacteristic
438C11×C4⋊C8C2311yescharacteristic
439C11×C4⋊C8C2311yescharacteristic
440C11×#103C2311yescharacteristic
441C11×#103C2311yescharacteristic
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×#103C2311yescharacteristic
463C11×#103C2311yescharacteristic
464C11×#103C2311yescharacteristic
465C11×#103C2311yescharacteristic
466C11×#102C2311yescharacteristic
467C11×#102C2311yescharacteristic
468C11×#102C2311yescharacteristic
469C11×#102C2311yescharacteristic
470C11×#102C2311yescharacteristic
471C11×#102C2311yescharacteristic
472C11×C22⋊C8C2311yescharacteristic
473C11×C22⋊C8C2311yescharacteristic
474C11×C22⋊C8C2311yescharacteristic
475C11×C22⋊C8C2311yescharacteristic
476C11×C22⋊C8C2311yescharacteristic
477C11×C22⋊C8C2311yescharacteristic
478C11×#97C2311yescharacteristic
479C11×#97C2311yescharacteristic
480C11×#97C2311yescharacteristic
481C11×#97C2311yescharacteristic
482C4×C8×C11C2311yescharacteristic
483C4×C8×C11C2311yescharacteristic
484#62010C1111yesmaximal, characteristic, direct product factor, Sylow
485C11×#41—22no—
486C11×#41—41no—
487C11×#41—41no—
488C11×#41—41no—
489C11×#41—41no—
490C11×#41—41no—
491C2×Q8×C11—21no—
492C2×Q8×C11—21no—
493C2×Q8×C11—21no—
494C2×Q8×C11—21no—
495C2×Q8×C11—21no—
496C2×Q8×C11—21no—
497C2×Q8×C11—21no—
498C2×Q8×C11—22no—
499C2×Q8×C11—22no—
500C2×Q8×C11—41no—
501C2×Q8×C11—41no—
502C2×Q8×C11—41no—
503C2×Q8×C11—41no—
504C2×Q8×C11—41no—
505C2×Q8×C11—41no—
506C2×Q8×C11—41no—
507C2×Q8×C11—41no—
508C2×Q8×C11—41no—
509C2×Q8×C11—41no—
510C2×Q8×C11C2×D411yescharacteristic
511C2×Q8×C11C2411yescharacteristic
512C2×Q8×C11C2411yescharacteristic
513C2×Q8×C11C2411yescharacteristic
514C2×Q8×C11C2411yescharacteristic
515C2×Q8×C11C2411yescharacteristic
516C2×Q8×C11C2411yescharacteristic
517C2×Q8×C11C2411yescharacteristic
518C2×Q8×C11C2411yescharacteristic
519C2×D4×C11—21no—
520C2×D4×C11—21no—
521C2×D4×C11—21no—
522C2×D4×C11—21no—
523C2×D4×C11—21no—
524C2×D4×C11—21no—
525C2×D4×C11C2×D411yescharacteristic
526C2×D4×C11C2×D411yescharacteristic
527C2×D4×C11C2×D411yescharacteristic
528C2×D4×C11C2411yescharacteristic
529C2×D4×C11C2411yescharacteristic
530C22×C4×C11—21no—
531C22×C4×C11—21no—
532C22×C4×C11—21no—
533C22×C4×C11—21no—
534C22×C4×C11—21no—
535C22×C4×C11—21no—
536C22×C4×C11—21no—
537C22×C4×C11—21no—
538C22×C4×C11—21no—
539C22×C4×C11—21no—
540C22×C4×C11—21no—
541C22×C4×C11—21no—
542C22×C4×C11—21no—
543C22×C4×C11—21no—
544C22×C4×C11C2×D411yescharacteristic
545C22×C4×C11C2×D411yescharacteristic
546C22×C4×C11C2411yescharacteristic
547C22×C4×C11C2411yescharacteristic
548C22×C4×C11C2411yescharacteristic
549C11×Q16—22no—
550C11×Q16—22no—
551C11×Q16—22no—
552C11×Q16—22no—
553C11×Q16—22no—
554C11×Q16—41no—
555C11×Q16—41no—
556C11×Q16—41no—
557C11×Q16—41no—
558C11×Q16—41no—
559C11×Q16—41no—
560C11×Q16—41no—
561C11×Q16—41no—
562C11×Q16—41no—
563C11×Q16—41no—
564C11×SD16—22no—
565C11×SD16—41no—
566C11×SD16—41no—
567C11×SD16—41no—
568C11×SD16—41no—
569C11×SD16—41no—
570C11×SD16—41no—
571C11×SD16—41no—
572C11×D8—41no—
573C11×M16—41no—
574C11×M16—41no—
575C2×C8×C11—41no—
576C2×C8×C11—41no—
577C2×C8×C11—41no—
578C2×C8×C11—41no—
579C2×C8×C11C2411yescharacteristic
580C2×C8×C11C2411yescharacteristic
581C2×C8×C11C2411yescharacteristic
582C2×C8×C11C2411yescharacteristic
583C2×C8×C11C2411yescharacteristic
584C2×C8×C11C2411yescharacteristic
585C2×C8×C11C2411yescharacteristic
586C2×C8×C11C2411yescharacteristic
587C11×C4⋊C4—21no—
588C11×C4⋊C4—21no—
589C11×C4⋊C4—21no—
590C11×C4⋊C4—21no—
591C11×C4⋊C4—21no—
592C11×C4⋊C4—21no—
593C11×C4⋊C4—21no—
594C11×C4⋊C4—21no—
595C11×C4⋊C4—21no—
596C11×C4⋊C4—21no—
597C11×C4⋊C4—21no—
598C11×C4⋊C4—21no—
599C11×C4⋊C4—21no—
600C11×C4⋊C4—21no—
601C11×C4⋊C4—21no—
602C11×C4⋊C4—21no—
603C11×C4⋊C4—21no—
604C11×C4⋊C4—21no—
605C11×C4⋊C4—21no—
606C11×C4⋊C4—21no—
607C11×C4⋊C4—21no—
608C11×C4⋊C4—21no—
609C11×C4⋊C4—21no—
610C11×C4⋊C4—21no—
611C11×C4⋊C4—21no—
612C11×C4⋊C4—21no—
613C11×C4⋊C4—21no—
614C11×C4⋊C4—21no—
615C11×C4⋊C4—21no—
616C11×C4⋊C4—21no—
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4—21no—
626C11×C4⋊C4—21no—
627C11×C4⋊C4—21no—
628C11×C4⋊C4—21no—
629C11×C4⋊C4—21no—
630C11×C4⋊C4—21no—
631C11×C4⋊C4—21no—
632C11×C4⋊C4C2×D411yescharacteristic
633C11×C4⋊C4C2×D411yescharacteristic
634C11×C4⋊C4C2×D411yescharacteristic
635C11×C4⋊C4C2×D411yescharacteristic
636C11×C4⋊C4C2×D411yescharacteristic
637C11×C4⋊C4C2×D411yescharacteristic
638C11×C4⋊C4C2×D411yescharacteristic
639C11×C4⋊C4C2×D411yescharacteristic
640C11×C4⋊C4C2×D411yescharacteristic
641C11×C4⋊C4C2×D411yescharacteristic
642C11×C4⋊C4C2411yescharacteristic
643C11×C4⋊C4C2411yescharacteristic
644C11×C4⋊C4C2411yescharacteristic
645C11×C4⋊C4C2411yescharacteristic
646C11×C4⋊C4C2411yescharacteristic
647C11×C4⋊C4C2411yescharacteristic
648C11×C22⋊C4—21no—
649C11×C22⋊C4—21no—
650C11×C22⋊C4—21no—
651C11×C22⋊C4—21no—
652C11×C22⋊C4—21no—
653C11×C22⋊C4—21no—
654C11×C22⋊C4—21no—
655C11×C22⋊C4—21no—
656C11×C22⋊C4—21no—
657C11×C22⋊C4—21no—
658C11×C22⋊C4—21no—
659C11×C22⋊C4—21no—
660C11×C22⋊C4—21no—
661C11×C22⋊C4—21no—
662C11×C22⋊C4—21no—
663C11×C22⋊C4—21no—
664C11×C22⋊C4—21no—
665C11×C22⋊C4—21no—
666C11×C22⋊C4—21no—
667C11×C22⋊C4—21no—
668C11×C22⋊C4—21no—
669C11×C22⋊C4—21no—
670C11×C22⋊C4—21no—
671C11×C22⋊C4—21no—
672C11×C22⋊C4—21no—
673C11×C22⋊C4—21no—
674C11×C22⋊C4C2×D411yescharacteristic
675C11×C22⋊C4C2×D411yescharacteristic
676C11×C22⋊C4C2×D411yescharacteristic
677C11×C22⋊C4C2×D411yescharacteristic
678C11×C22⋊C4C2×D411yescharacteristic
679C11×C22⋊C4C2×D411yescharacteristic
680C11×C22⋊C4C2×D411yescharacteristic
681C11×C22⋊C4C2×D411yescharacteristic
682C11×C22⋊C4C2×D411yescharacteristic
683C11×C22⋊C4C2×D411yescharacteristic
684C42×C11—21no—
685C42×C11—21no—
686C42×C11—21no—
687C42×C11—21no—
688C42×C11—21no—
689C42×C11—21no—
690C42×C11—21no—
691C42×C11—21no—
692C42×C11—21no—
693C42×C11—21no—
694C42×C11—21no—
695C42×C11—21no—
696C42×C11—21no—
697C42×C11—21no—
698C42×C11C2×D411yescharacteristic
699C42×C11C2×D411yescharacteristic
700C42×C11C2411yescharacteristic
701C42×C11C2411yescharacteristic
702C42×C11C2411yescharacteristic
703C42×C11C2411yescharacteristic
704#3552C2×C1111yescharacteristic, complemented
705#3516C2×C1111yescharacteristic, complemented
706#3402C2×C1111yescharacteristic, complemented
707#3398C2×C1111yescharacteristic, complemented
708#3377C2×C1111yescharacteristic, complemented
709#3374C2×C1111yescharacteristic, complemented
710#3320C2×C1111yescharacteristic, complemented
711#3316C2×C1111yescharacteristic, complemented
712#3315C2×C1111yescharacteristic, complemented
713#3312C2×C1111yescharacteristic, complemented
714#3301C2×C1111yescharacteristic, complemented
715#3299C2×C1111yescharacteristic, complemented
716D4×Q16C2×C1111yescharacteristic, complemented
717#3285C2×C1111yescharacteristic, complemented
718#3270C2×C1111yescharacteristic, complemented
719#3270C2×C1111yescharacteristic, complemented
720#3270C2×C1111yescharacteristic, complemented
721#3269C2×C1111yescharacteristic, complemented
722#3261C2×C1111yescharacteristic, complemented
723#3258C2×C1111yescharacteristic, complemented
724#3250C2×C1111yescharacteristic, complemented
725#3225C2×C1111yescharacteristic, complemented
726#3223C2×C1111yescharacteristic, complemented
727#3218C2×C1111yescharacteristic, complemented
728#3127C2×C1111yescharacteristic, complemented
729#3120C2×C1111yescharacteristic, complemented
730#3117C2×C1111yescharacteristic, complemented
731#3046C2×C1111yescharacteristic, complemented
732#3044C2×C1111yescharacteristic, complemented
733C2×#462C2×C1111yescharacteristic, complemented
734#2992C2×C1111yescharacteristic, complemented
735C23×C11—21no—
736C23×C11—21no—
737C23×C11C22×D411yescharacteristic
738C23×C11C22×D411yescharacteristic
739C23×C11C22×D411yescharacteristic
740Q8×C11—21no—
741Q8×C11—21no—
742Q8×C11—21no—
743Q8×C11—21no—
744Q8×C11—21no—
745Q8×C11—21no—
746Q8×C11—21no—
747Q8×C11—21no—
748Q8×C11—21no—
749Q8×C11—21no—
750Q8×C11—21no—
751Q8×C11—21no—
752Q8×C11—21no—
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—41no—
756Q8×C11—42no—
757Q8×C11—42no—
758Q8×C11—81no—
759Q8×C11—81no—
760Q8×C11—81no—
761Q8×C11—81no—
762Q8×C11—81no—
763Q8×C11H(5,𝔽2)12yes—
764D4×C11—22no—
765D4×C11—22no—
766D4×C11—21no—
767D4×C11—21no—
768D4×C11—21no—
769D4×C11—21no—
770D4×C11—41no—
771D4×C11—42no—
772D4×C11—42no—
773D4×C11—42no—
774D4×C11—81no—
775D4×C11—81no—
776D4×C11—81no—
777C2×C4×C11—22no—
778C2×C4×C11—21no—
779C2×C4×C11—21no—
780C2×C4×C11—21no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—21no—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—41no—
799C2×C4×C11—42no—
800C2×C4×C11—42no—
801C2×C4×C11—42no—
802C2×C4×C11—42no—
803C2×C4×C11—81no—
804C2×C4×C11—81no—
805C2×C4×C11—81no—
806C2×C4×C11—81no—
807C2×C4×C11—81no—
808C2×C4×C11—81no—
809C2×C4×C11—81no—
810C2×C4×C11—81no—
811C2×C4×C11—81no—
812C2×C4×C11—81no—
813C2×C4×C11C22×D411yescharacteristic
814C2×C4×C11C22×D411yescharacteristic
815C2×C4×C11C22×D411yescharacteristic
816C2×C4×C11C22×D411yescharacteristic
817C2×C4×C11C22×D411yescharacteristic
818C2×C4×C11C22×D411yescharacteristic
819C2×C4×C11C22×D411yescharacteristic
820C2×C4×C11C22×D411yescharacteristic
821C2×C4×C11C22×D411yescharacteristic
822C2×C4×C11C22×D411yescharacteristic
823C2×C4×C11C22×D411yescharacteristic
824C2×C4×C11C2511yescharacteristic
825C8×C11—21no—
826C8×C11—21no—
827C8×C11—21no—
828C8×C11—21no—
829C8×C11—21no—
830C8×C11—21no—
831C8×C11—21no—
832C8×C11—21no—
833C2×#137C22×C1111yescharacteristic
834C2×#137C22×C1111yescharacteristic
835C2×#135C22×C1111yescharacteristic
836C22×Q16C22×C1111yescharacteristic
837C22×Q16C22×C1111yescharacteristic
838C22×Q16C22×C1111yescharacteristic
839#563—21no—
840#563—21no—
841#557C22×C1111yescharacteristic
842#557C22×C1111yescharacteristic
843#556—21no—
844#556C22×C1111yescharacteristic
845#556C22×C1111yescharacteristic
846#554—21no—
847#554—21no—
848#554C22×C1111yescharacteristic
849#553—21no—
850#553—21no—
851#553C22×C1111yescharacteristic
852#552—21no—
853#552C22×C1111yescharacteristic
854D4×Q8C22×C1111yescharacteristic
855D4×Q8C22×C1111yescharacteristic
856D4×Q8C22×C1111yescharacteristic
857D4×Q8C22×C1111yescharacteristic
858#548C22×C1111yescharacteristic
859#548C22×C1111yescharacteristic
860#548C22×C1111yescharacteristic
861#548C22×C1111yescharacteristic
862#547C22×C1111yescharacteristic
863#544—21no—
864#542—21no—
865#542—21no—
866#542C22×C1111yescharacteristic
867#541—21no—
868#541C22×C1111yescharacteristic
869#541C22×C1111yescharacteristic
870#541C22×C1111yescharacteristic
871#539—21no—
872#539—21no—
873#536C22×C1111yescharacteristic
874#536C22×C1111yescharacteristic
875C2×C4⋊Q8C22×C1111yescharacteristic
876#529—21no—
877#529—21no—
878#529C22×C1111yescharacteristic
879#529C22×C1111yescharacteristic
880#529C22×C1111yescharacteristic
881#520C22×C1111yescharacteristic
882#519C22×C1111yescharacteristic
883C2×C4×Q8C22×C1111yescharacteristic
884#497C22×C1111yescharacteristic
885#497C22×C1111yescharacteristic
886#497C22×C1111yescharacteristic
887#497C22×C1111yescharacteristic
888#495C22×C1111yescharacteristic
889#494C22×C1111yescharacteristic
890#491C22×C1111yescharacteristic
891#491C22×C1111yescharacteristic
892#491C22×C1111yescharacteristic
893#489C22×C1111yescharacteristic
894#488C22×C1111yescharacteristic
895#487C22×C1111yescharacteristic
896#485C22×C1111yescharacteristic
897#485C22×C1111yescharacteristic
898#484C22×C1111yescharacteristic
899#484C22×C1111yescharacteristic
900#483C22×C1111yescharacteristic
901#481C22×C1111yescharacteristic
902#479C22×C1111yescharacteristic
903#479C22×C1111yescharacteristic
904#479C22×C1111yescharacteristic
905#479C22×C1111yescharacteristic
906#479C22×C1111yescharacteristic
907#479C22×C1111yescharacteristic
908#478C22×C1111yescharacteristic
909#478C22×C1111yescharacteristic
910#477C22×C1111yescharacteristic
911#475C22×C1111yescharacteristic
912#470C22×C1111yescharacteristic
913#470C22×C1111yescharacteristic
914#470C22×C1111yescharacteristic
915#468C22×C1111yescharacteristic
916#467C22×C1111yescharacteristic
917#467C22×C1111yescharacteristic
918#467C22×C1111yescharacteristic
919#467C22×C1111yescharacteristic
920#466C22×C1111yescharacteristic
921#465C22×C1111yescharacteristic
922#465C22×C1111yescharacteristic
923#465C22×C1111yescharacteristic
924#464C22×C1111yescharacteristic
925#464C22×C1111yescharacteristic
926#464C22×C1111yescharacteristic
927#464C22×C1111yescharacteristic
928#464C22×C1111yescharacteristic
929#464C22×C1111yescharacteristic
930#464C22×C1111yescharacteristic
931#464C22×C1111yescharacteristic
932#464C22×C1111yescharacteristic
933#463C22×C1111yescharacteristic
934#463C22×C1111yescharacteristic
935#463C22×C1111yescharacteristic
936#462C22×C1111yescharacteristic
937#462C22×C1111yescharacteristic
938#462C22×C1111yescharacteristic
939#462C22×C1111yescharacteristic
940#462C22×C1111yescharacteristic
941#462C22×C1111yescharacteristic
942#462C22×C1111yescharacteristic
943#462C22×C1111yescharacteristic
944#462C22×C1111yescharacteristic
945#462C22×C1111yescharacteristic
946#462C22×C1111yescharacteristic
947#462C22×C1111yescharacteristic
948#462C22×C1111yescharacteristic
949#462C22×C1111yescharacteristic
950#462C22×C1111yescharacteristic
951#461C22×C1111yescharacteristic
952#461C22×C1111yescharacteristic
953#461C22×C1111yescharacteristic
954#452C22×C1111yescharacteristic
955#452C22×C1111yescharacteristic
956#452C22×C1111yescharacteristic
957#452C22×C1111yescharacteristic
958#452C22×C1111yescharacteristic
959#451C22×C1111yescharacteristic
960#451C22×C1111yescharacteristic
961#451C22×C1111yescharacteristic
962#451C22×C1111yescharacteristic
963#451C22×C1111yescharacteristic
964#451C22×C1111yescharacteristic
965#451C22×C1111yescharacteristic
966#451C22×C1111yescharacteristic
967#449C22×C1111yescharacteristic
968#448C22×C1111yescharacteristic
969#448C22×C1111yescharacteristic
970#448C22×C1111yescharacteristic
971#448C22×C1111yescharacteristic
972#446C22×C1111yescharacteristic
973#446C22×C1111yescharacteristic
974#441C22×C1111yescharacteristic
975#441C22×C1111yescharacteristic
976#441C22×C1111yescharacteristic
977#441C22×C1111yescharacteristic
978#441C22×C1111yescharacteristic
979#440C22×C1111yescharacteristic
980#440C22×C1111yescharacteristic
981#440C22×C1111yescharacteristic
982C4×Q16C22×C1111yescharacteristic
983C4×Q16C22×C1111yescharacteristic
984C4×Q16C22×C1111yescharacteristic
985C4×SD16C22×C1111yescharacteristic
986#435C22×C1111yescharacteristic
987#435C22×C1111yescharacteristic
988#435C22×C1111yescharacteristic
989#435C22×C1111yescharacteristic
990C8×D4C22×C1111yescharacteristic
991C8×D4C22×C1111yescharacteristic
992#433C22×C1111yescharacteristic
993#433C22×C1111yescharacteristic
994#432C22×C1111yescharacteristic
995#424C22×C1111yescharacteristic
996#424C22×C1111yescharacteristic
997C2×C4⋊C8C22×C1111yescharacteristic
998#419C22×C1111yescharacteristic
999#417C22×C1111yescharacteristic
1000#416C22×C1111yescharacteristic
1001C2×#103C22×C1111yescharacteristic
1002C2×#103C22×C1111yescharacteristic
1003C2×#103C22×C1111yescharacteristic
1004C22×C11—21no—
1005C22×C11—21no—
1006C22×C11—21no—
1007C22×C11—21no—
1008C22×C11—21no—
1009C22×C11—21no—
1010C22×C11—21no—
1011C22×C11—21no—
1012C22×C11—41no—
1013C22×C11—41no—
1014C22×C11—41no—
1015C22×C11—41no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11#57812yes—
1019C22×C11C23×D411yescharacteristic
1020C4×C11—21no—
1021C4×C11—21no—
1022C4×C11—21no—
1023C4×C11—21no—
1024C4×C11—21no—
1025C4×C11—21no—
1026C4×C11—21no—
1027C4×C11—22no—
1028C4×C11—21no—
1029C4×C11—21no—
1030C4×C11—21no—
1031C4×C11—21no—
1032C4×C11—41no—
1033C4×C11—41no—
1034C4×C11—41no—
1035C4×C11—41no—
1036C4×C11—41no—
1037C4×C11—41no—
1038C4×C11—41no—
1039C4×C11—41no—
1040C4×C11—41no—
1041C4×C11—41no—
1042C4×C11—41no—
1043C4×C11—41no—
1044C4×C11—41no—
1045C4×C11C2×H(5,𝔽2)11yescharacteristic
1046C4×C11#58511yescharacteristic
1047C2×#41C23×C1111yescharacteristic
1048C2×#41C23×C1111yescharacteristic
1049C2×#41C23×C1111yescharacteristic
1050C22×Q8C23×C1111yescharacteristic
1051C22×Q8C23×C1111yescharacteristic
1052C22×Q8C23×C1111yescharacteristic
1053C22×Q8C23×C1111yescharacteristic
1054C22×Q8C23×C1111yescharacteristic
1055C22×Q8C23×C1111yescharacteristic
1056#137—42no—
1057#137—42no—
1058#135—42no—
1059C2×Q16—42no—
1060C2×Q16—42no—
1061C2×Q16—42no—
1062C2×Q16C23×C1111yescharacteristic
1063C2×Q16C23×C1111yescharacteristic
1064C2×Q16C23×C1111yescharacteristic
1065C2×Q16C23×C1111yescharacteristic
1066C2×Q16C23×C1111yescharacteristic
1067C2×Q16C23×C1111yescharacteristic
1068C2×Q16C23×C1111yescharacteristic
1069C2×Q16C23×C1111yescharacteristic
1070C2×Q16C23×C1111yescharacteristic
1071C2×Q16C23×C1111yescharacteristic
1072C2×Q16C23×C1111yescharacteristic
1073C2×Q16C23×C1111yescharacteristic
1074C2×Q16C23×C1111yescharacteristic
1075C2×Q16C23×C1111yescharacteristic
1076C2×Q16C23×C1111yescharacteristic
1077C2×SD16C23×C1111yescharacteristic
1078C2×SD16C23×C1111yescharacteristic
1079C2×SD16C23×C1111yescharacteristic
1080C2×SD16C23×C1111yescharacteristic
1081C2×SD16C23×C1111yescharacteristic
1082C2×SD16C23×C1111yescharacteristic
1083C2×SD16C23×C1111yescharacteristic
1084C2×SD16C23×C1111yescharacteristic
1085C2×D8C23×C1111yescharacteristic
1086C2×M16C23×C1111yescharacteristic
1087C2×M16C23×C1111yescharacteristic
1088C22×C8C23×C1111yescharacteristic
1089C22×C8C23×C1111yescharacteristic
1090C22×C8C23×C1111yescharacteristic
1091C22×C8C23×C1111yescharacteristic
1092C4⋊Q8—21no—
1093C4⋊Q8—21no—
1094C4⋊Q8—21no—
1095C4⋊Q8—21no—
1096C4⋊Q8—21no—
1097C4⋊Q8—21no—
1098C4⋊Q8—21no—
1099C4⋊Q8C23×C1111yescharacteristic
1100C4⋊Q8C23×C1111yescharacteristic
1101C4⋊Q8C23×C1111yescharacteristic
1102C4⋊Q8C23×C1111yescharacteristic
1103C4⋊Q8C23×C1111yescharacteristic
1104C4⋊Q8C23×C1111yescharacteristic
1105C4⋊Q8C23×C1111yescharacteristic
1106C4⋊Q8C23×C1111yescharacteristic
1107#126—21no—
1108#126—21no—
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126—21no—
1113#126—21no—
1114#126—21no—
1115#126—21no—
1116#126—21no—
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126D4×C1111yescharacteristic
1123#126D4×C1111yescharacteristic
1124#125—21no—
1125#125—21no—
1126#125—21no—
1127#125—21no—
1128#125—21no—
1129#125—21no—
1130#125—21no—
1131#125—21no—
1132#125—21no—
1133#125—21no—
1134#125—21no—
1135#125—21no—
1136#125—21no—
1137#125D4×C1111yescharacteristic
1138#125C23×C1111yescharacteristic
1139#125C23×C1111yescharacteristic
1140#125C23×C1111yescharacteristic
1141#124—21no—
1142#124—21no—
1143#124—21no—
1144#124—21no—
1145#124—21no—
1146#124D4×C1111yescharacteristic
1147#124C23×C1111yescharacteristic
1148#124C23×C1111yescharacteristic
1149#124C23×C1111yescharacteristic
1150#124C23×C1111yescharacteristic
1151#124C23×C1111yescharacteristic
1152#123—21no—
1153#123—21no—
1154#123—21no—
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123D4×C1111yescharacteristic
1164#123D4×C1111yescharacteristic
1165C22⋊Q8—21no—
1166C22⋊Q8—21no—
1167C22⋊Q8—21no—
1168C22⋊Q8—21no—
1169C22⋊Q8—21no—
1170C22⋊Q8—21no—
1171C22⋊Q8—21no—
1172C22⋊Q8—21no—
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—21no—
1181C22⋊Q8—21no—
1182C22⋊Q8—21no—
1183C22⋊Q8—21no—
1184C22⋊Q8—21no—
1185C22⋊Q8—21no—
1186C22⋊Q8D4×C1111yescharacteristic
1187C22⋊Q8C23×C1111yescharacteristic
1188C22⋊Q8C23×C1111yescharacteristic
1189C22⋊Q8C23×C1111yescharacteristic
1190C22⋊Q8C23×C1111yescharacteristic
1191C22⋊Q8C23×C1111yescharacteristic
1192C22⋊Q8C23×C1111yescharacteristic
1193C22⋊Q8C23×C1111yescharacteristic
1194C22⋊Q8C23×C1111yescharacteristic
1195C22⋊Q8C23×C1111yescharacteristic
1196#121—21no—
1197#121—21no—
1198#121—21no—
1199#121—21no—
1200#121—21no—
1201#121—21no—
1202#121D4×C1111yescharacteristic
1203#121C23×C1111yescharacteristic
1204#121C23×C1111yescharacteristic
1205#121C23×C1111yescharacteristic
1206C4×Q8—21no—
1207C4×Q8—21no—
1208C4×Q8—21no—
1209C4×Q8—21no—
1210C4×Q8—21no—
1211C4×Q8—21no—
1212C4×Q8C23×C1111yescharacteristic
1213C4×Q8C23×C1111yescharacteristic
1214C4×Q8C23×C1111yescharacteristic
1215C4×Q8C23×C1111yescharacteristic
1216C4×Q8C23×C1111yescharacteristic
1217C4×Q8C23×C1111yescharacteristic
1218C4×Q8C23×C1111yescharacteristic
1219C4×Q8C23×C1111yescharacteristic
1220C4×Q8C23×C1111yescharacteristic
1221C4×Q8C23×C1111yescharacteristic
1222C4×Q8C23×C1111yescharacteristic
1223C4×Q8C23×C1111yescharacteristic
1224C4×Q8C23×C1111yescharacteristic
1225C4×Q8C23×C1111yescharacteristic
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—21no—
1235C4×D4—21no—
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4C23×C1111yescharacteristic
1241C4×D4C23×C1111yescharacteristic
1242C4×D4C23×C1111yescharacteristic
1243C4×D4C23×C1111yescharacteristic
1244C4×D4C23×C1111yescharacteristic
1245C4×D4C23×C1111yescharacteristic
1246#117—21no—
1247#117—21no—
1248#117—21no—
1249#117—21no—
1250#117—21no—
1251#117—21no—
1252#117—21no—
1253#117—21no—
1254#117C23×C1111yescharacteristic
1255#117C23×C1111yescharacteristic
1256#117C23×C1111yescharacteristic
1257C2×C4⋊C4—21no—
1258C2×C4⋊C4—21no—
1259C2×C4⋊C4—21no—
1260C2×C4⋊C4—21no—
1261C2×C4⋊C4—21no—
1262C2×C4⋊C4C23×C1111yescharacteristic
1263C2×C4⋊C4C23×C1111yescharacteristic
1264C2×C42—21no—
1265C2×C42C23×C1111yescharacteristic
1266#107C23×C1111yescharacteristic
1267#107C23×C1111yescharacteristic
1268#107C23×C1111yescharacteristic
1269#107C23×C1111yescharacteristic
1270#106C23×C1111yescharacteristic
1271#106C23×C1111yescharacteristic
1272#106C23×C1111yescharacteristic
1273#106C23×C1111yescharacteristic
1274C4⋊C8C23×C1111yescharacteristic
1275C4⋊C8C23×C1111yescharacteristic
1276C4⋊C8C23×C1111yescharacteristic
1277C4⋊C8C23×C1111yescharacteristic
1278C4⋊C8C23×C1111yescharacteristic
1279C4⋊C8C23×C1111yescharacteristic
1280C4⋊C8C23×C1111yescharacteristic
1281C4⋊C8C23×C1111yescharacteristic
1282C4⋊C8C23×C1111yescharacteristic
1283C4⋊C8C23×C1111yescharacteristic
1284#103C23×C1111yescharacteristic
1285#103C23×C1111yescharacteristic
1286#103C23×C1111yescharacteristic
1287#103C23×C1111yescharacteristic
1288#103C23×C1111yescharacteristic
1289#103C23×C1111yescharacteristic
1290#103C23×C1111yescharacteristic
1291#103C23×C1111yescharacteristic
1292#103C23×C1111yescharacteristic
1293#103C23×C1111yescharacteristic
1294#103C23×C1111yescharacteristic
1295#103C23×C1111yescharacteristic
1296#103C23×C1111yescharacteristic
1297#103C23×C1111yescharacteristic
1298#103C23×C1111yescharacteristic
1299#103C23×C1111yescharacteristic
1300#103C23×C1111yescharacteristic
1301#103C23×C1111yescharacteristic
1302#103C23×C1111yescharacteristic
1303#103C23×C1111yescharacteristic
1304#103C23×C1111yescharacteristic
1305#103C23×C1111yescharacteristic
1306#103C23×C1111yescharacteristic
1307#103C23×C1111yescharacteristic
1308#103C23×C1111yescharacteristic
1309#103C23×C1111yescharacteristic
1310#102C23×C1111yescharacteristic
1311#102C23×C1111yescharacteristic
1312#102C23×C1111yescharacteristic
1313#102C23×C1111yescharacteristic
1314#102C23×C1111yescharacteristic
1315#102C23×C1111yescharacteristic
1316C22⋊C8C23×C1111yescharacteristic
1317C22⋊C8C23×C1111yescharacteristic
1318C22⋊C8C23×C1111yescharacteristic
1319C22⋊C8C23×C1111yescharacteristic
1320C22⋊C8C23×C1111yescharacteristic
1321C22⋊C8C23×C1111yescharacteristic
1322#97C23×C1111yescharacteristic
1323#97C23×C1111yescharacteristic
1324#97C23×C1111yescharacteristic
1325#97C23×C1111yescharacteristic
1326C4×C8C23×C1111yescharacteristic
1327C4×C8C23×C1111yescharacteristic
1328C2×C11—22no—
1329C2×C11—41no—
1330C2×C11—41no—
1331C2×C11—81no—
1332C2×C11—81no—
1333C2×C11#348811yescharacteristic
1334C2×C11C2×#57811yescharacteristic
1335C2×C11#358611yescharacteristic
1336#41—22no—
1337#41—41no—
1338#41—41no—
1339#41—41no—
1340#41—41no—
1341#41—41no—
1342C2×Q8—21no—
1343C2×Q8—21no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—21no—
1348C2×Q8—21no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—41no—
1352C2×Q8—41no—
1353C2×Q8—41no—
1354C2×Q8—41no—
1355C2×Q8—41no—
1356C2×Q8—41no—
1357C2×Q8—41no—
1358C2×Q8—41no—
1359C2×Q8—41no—
1360C2×Q8—41no—
1361C2×Q8C2×D4×C1111yescharacteristic
1362C2×Q8C24×C1111yescharacteristic
1363C2×Q8C24×C1111yescharacteristic
1364C2×Q8C24×C1111yescharacteristic
1365C2×Q8C24×C1111yescharacteristic
1366C2×Q8C24×C1111yescharacteristic
1367C2×Q8C24×C1111yescharacteristic
1368C2×Q8C24×C1111yescharacteristic
1369C2×Q8C24×C1111yescharacteristic
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4C2×D4×C1111yescharacteristic
1377C2×D4C2×D4×C1111yescharacteristic
1378C2×D4C2×D4×C1111yescharacteristic
1379C2×D4C24×C1111yescharacteristic
1380C2×D4C24×C1111yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4C2×D4×C1111yescharacteristic
1396C22×C4C2×D4×C1111yescharacteristic
1397C22×C4C24×C1111yescharacteristic
1398C22×C4C24×C1111yescharacteristic
1399C22×C4C24×C1111yescharacteristic
1400Q16—22no—
1401Q16—22no—
1402Q16—22no—
1403Q16—22no—
1404Q16—22no—
1405Q16—41no—
1406Q16—41no—
1407Q16—41no—
1408Q16—41no—
1409Q16—41no—
1410Q16—41no—
1411Q16—41no—
1412Q16—41no—
1413Q16—41no—
1414Q16—41no—
1415SD16—22no—
1416SD16—41no—
1417SD16—41no—
1418SD16—41no—
1419SD16—41no—
1420SD16—41no—
1421SD16—41no—
1422SD16—41no—
1423D8—41no—
1424M16—41no—
1425M16—41no—
1426C2×C8—41no—
1427C2×C8—41no—
1428C2×C8—41no—
1429C2×C8—41no—
1430C2×C8C24×C1111yescharacteristic
1431C2×C8C24×C1111yescharacteristic
1432C2×C8C24×C1111yescharacteristic
1433C2×C8C24×C1111yescharacteristic
1434C2×C8C24×C1111yescharacteristic
1435C2×C8C24×C1111yescharacteristic
1436C2×C8C24×C1111yescharacteristic
1437C2×C8C24×C1111yescharacteristic
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4C2×D4×C1111yescharacteristic
1484C4⋊C4C2×D4×C1111yescharacteristic
1485C4⋊C4C2×D4×C1111yescharacteristic
1486C4⋊C4C2×D4×C1111yescharacteristic
1487C4⋊C4C2×D4×C1111yescharacteristic
1488C4⋊C4C2×D4×C1111yescharacteristic
1489C4⋊C4C2×D4×C1111yescharacteristic
1490C4⋊C4C2×D4×C1111yescharacteristic
1491C4⋊C4C2×D4×C1111yescharacteristic
1492C4⋊C4C2×D4×C1111yescharacteristic
1493C4⋊C4C24×C1111yescharacteristic
1494C4⋊C4C24×C1111yescharacteristic
1495C4⋊C4C24×C1111yescharacteristic
1496C4⋊C4C24×C1111yescharacteristic
1497C4⋊C4C24×C1111yescharacteristic
1498C4⋊C4C24×C1111yescharacteristic
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
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⋊C4C2×D4×C1111yescharacteristic
1526C22⋊C4C2×D4×C1111yescharacteristic
1527C22⋊C4C2×D4×C1111yescharacteristic
1528C22⋊C4C2×D4×C1111yescharacteristic
1529C22⋊C4C2×D4×C1111yescharacteristic
1530C22⋊C4C2×D4×C1111yescharacteristic
1531C22⋊C4C2×D4×C1111yescharacteristic
1532C22⋊C4C2×D4×C1111yescharacteristic
1533C22⋊C4C2×D4×C1111yescharacteristic
1534C22⋊C4C2×D4×C1111yescharacteristic
1535C42—21no—
1536C42—21no—
1537C42—21no—
1538C42—21no—
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42C2×D4×C1111yescharacteristic
1550C42C2×D4×C1111yescharacteristic
1551C42C24×C1111yescharacteristic
1552C42C24×C1111yescharacteristic
1553C42C24×C1111yescharacteristic
1554C42C24×C1111yescharacteristic
1555C11#6201011yescharacteristic, direct product factor, Sylow
1556C23—21no—
1557C23—21no—
1558C23C22×D4×C1111yescharacteristic
1559C23C22×D4×C1111yescharacteristic
1560C23C22×D4×C1111yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—21no—
1567Q8—21no—
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—21no—
1576Q8—41no—
1577Q8—42no—
1578Q8—42no—
1579Q8—81no—
1580Q8—81no—
1581Q8—81no—
1582Q8—81no—
1583Q8—81no—
1584Q8C11×H(5,𝔽2)12yes—
1585D4—22no—
1586D4—22no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—41no—
1592D4—42no—
1593D4—42no—
1594D4—42no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—41no—
1620C2×C4—42no—
1621C2×C4—42no—
1622C2×C4—42no—
1623C2×C4—42no—
1624C2×C4—81no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4C22×D4×C1111yescharacteristic
1635C2×C4C22×D4×C1111yescharacteristic
1636C2×C4C22×D4×C1111yescharacteristic
1637C2×C4C22×D4×C1111yescharacteristic
1638C2×C4C22×D4×C1111yescharacteristic
1639C2×C4C22×D4×C1111yescharacteristic
1640C2×C4C22×D4×C1111yescharacteristic
1641C2×C4C22×D4×C1111yescharacteristic
1642C2×C4C22×D4×C1111yescharacteristic
1643C2×C4C22×D4×C1111yescharacteristic
1644C2×C4C22×D4×C1111yescharacteristic
1645C2×C4C25×C1111yescharacteristic
1646C8—21no—
1647C8—21no—
1648C8—21no—
1649C8—21no—
1650C8—21no—
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22C11×#57812yes—
1669C22C23×D4×C1111yescharacteristic
1670C4—21no—
1671C4—21no—
1672C4—21no—
1673C4—22no—
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4C2×C11×H(5,𝔽2)11yescharacteristic
1696C4C11×#58511yescharacteristic
1697C2—22no—
1698C2—41no—
1699C2—41no—
1700C2—81no—
1701C2—81no—
1702C2C11×#348811yescharacteristic
1703C2C2×C11×#57811yescharacteristic
1704C2C11×#358611yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C11×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3552C2semidirect
2. C11×#3516C2semidirect
3. C11×#3402C2semidirect
4. C11×#3398C2semidirect
5. C11×#3377C2semidirect
6. C11×#3374C2semidirect
7. C11×#3320C2semidirect
8. C11×#3316C2semidirect
9. C11×#3315C2semidirect
10. C11×#3312C2semidirect
11. C11×#3301C2semidirect
12. C11×#3299C2semidirect
13. D4×C11×Q16C2semidirect
14. C11×#3285C2semidirect
15. C11×#3270C2semidirect
16. C11×#3270C2semidirect
17. C11×#3270C2semidirect
18. C11×#3269C2semidirect
19. C11×#3261C2semidirect
20. C11×#3258C2semidirect
21. C11×#3250C2semidirect
22. C11×#3225C2semidirect
23. C11×#3223C2semidirect
24. C11×#3218C2semidirect
25. C11×#3127C2semidirect
26. C11×#3120C2semidirect
27. C11×#3117C2semidirect
28. C11×#3046C2semidirect
29. C11×#3044C2semidirect
30. C2×C11×#462C2semidirect
31. C11×#2992C2semidirect
484. #62010C11direct (N × H)
704. #3552C2×C11semidirect
705. #3516C2×C11semidirect
706. #3402C2×C11semidirect
707. #3398C2×C11semidirect
708. #3377C2×C11semidirect
709. #3374C2×C11semidirect
710. #3320C2×C11semidirect
711. #3316C2×C11semidirect
712. #3315C2×C11semidirect
713. #3312C2×C11semidirect
714. #3301C2×C11semidirect
715. #3299C2×C11semidirect
716. D4×Q16C2×C11semidirect
717. #3285C2×C11semidirect
718. #3270C2×C11semidirect
719. #3270C2×C11semidirect
720. #3270C2×C11semidirect
721. #3269C2×C11semidirect
722. #3261C2×C11semidirect
723. #3258C2×C11semidirect
724. #3250C2×C11semidirect
725. #3225C2×C11semidirect
726. #3223C2×C11semidirect
727. #3218C2×C11semidirect
728. #3127C2×C11semidirect
729. #3120C2×C11semidirect
730. #3117C2×C11semidirect
731. #3046C2×C11semidirect
732. #3044C2×C11semidirect
733. C2×#462C2×C11semidirect
734. #2992C2×C11semidirect
1555. C11#62010direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35522
C11×#35162
C11×#34022
C11×#33982
C11×#33772
C11×#33742
C11×#33202
C11×#33162
C11×#33152
C11×#33122
C11×#33012
C11×#32992
D4×C11×Q162
C11×#32852
C11×#32702
C11×#32692
C11×#32612
C11×#32582
C11×#32502
C11×#32252
C11×#32232
C11×#32182
C11×#31272
C11×#31202
C11×#31172
C11×#30462
C11×#30442
C2×C11×#4622
C11×#29922
#6201011