Finite Group Databasebeta

← C11×#61639 #14638832

Subgroups — C11×#61639 #14638832

Order 2816.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3542C211yesmaximal, characteristic, complemented
2C11×#3488C211yesmaximal, characteristic, complemented
3C11×#3319C211yesmaximal, characteristic, complemented
4C11×#3310C211yesmaximal, characteristic, complemented
5C11×#3309C211yesmaximal, characteristic, complemented
6C11×#3308C211yesmaximal, characteristic, complemented
7C11×#3305C211yesmaximal, characteristic, complemented
8C11×#3300C211yesmaximal, characteristic, complemented
9C11×#3297C211yesmaximal, characteristic, complemented
10C11×#3294C211yesmaximal, characteristic, complemented
11C11×#3287C211yesmaximal, characteristic, complemented
12C11×#3282C211yesmaximal, characteristic, complemented
13C11×#3280C211yesmaximal, characteristic, complemented
14D4×C11×D8C211yesmaximal, characteristic, complemented
15C11×#3268C211yesmaximal, characteristic, complemented
16C11×#3268C211yesmaximal, characteristic, complemented
17C11×#3265C211yesmaximal, characteristic, complemented
18C11×#3264C211yesmaximal, characteristic, complemented
19C11×#3224C211yesmaximal, characteristic, complemented
20C11×#3220C211yesmaximal, characteristic, complemented
21C11×#3203C211yesmaximal, characteristic, complemented
22C11×#3198C211yesmaximal, characteristic, complemented
23C11×#3188C211yesmaximal, characteristic, complemented
24C11×#3186C211yesmaximal, characteristic, complemented
25C11×#3124C211yesmaximal, characteristic, complemented
26C11×#3119C211yesmaximal, characteristic, complemented
27C11×#3012C211yesmaximal, characteristic, complemented
28C11×#3008C211yesmaximal, characteristic, complemented
29C11×#3002C211yesmaximal, characteristic, complemented
30C2×C11×#449C211yesmaximal, characteristic, complemented
31C11×#2977C211yesmaximal, characteristic, complemented
32C2×C11×H(5,𝔽2)C2211yescharacteristic, complemented
33C22×C11×#41C2211yescharacteristic, complemented
34C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C2×C11×#135C2211yescharacteristic, complemented
37C2×C11×#135C2211yescharacteristic, complemented
38C2×C11×#135C2211yescharacteristic, complemented
39C22×C11×SD16C2211yescharacteristic, complemented
40C22×C11×D8C2211yescharacteristic, complemented
41C22×C11×D8C2211yescharacteristic, complemented
42C11×#562—21no—
43C11×#560—21no—
44C11×#555C2211yescharacteristic, complemented
45C11×#553C2211yescharacteristic, complemented
46C11×#552C2211yescharacteristic, complemented
47C11×#551—21no—
48C11×#550C2211yescharacteristic, complemented
49C11×#550C2211yescharacteristic, complemented
50C11×#550C2211yescharacteristic, complemented
51C11×#548C2211yescharacteristic
52C11×#548C2211yescharacteristic, complemented
53C11×#547C2211yescharacteristic, complemented
54C11×#546—21no—
55C11×#546—21no—
56C11×#546—21no—
57C11×#546C2211yescharacteristic, complemented
58C11×#546C2211yescharacteristic, complemented
59C11×#546C2211yescharacteristic, complemented
60C11×#546C2211yescharacteristic, complemented
61D42×C11—21no—
62D42×C11—21no—
63D42×C11C2211yescharacteristic
64D42×C11C2211yescharacteristic, complemented
65D42×C11C2211yescharacteristic, complemented
66C11×#542C2211yescharacteristic, complemented
67C11×#540—21no—
68C11×#540C2211yescharacteristic, complemented
69C11×#538—21no—
70C11×#537—21no—
71C11×#537C2211yescharacteristic, complemented
72C11×#537C2211yescharacteristic, complemented
73C11×#535—21no—
74C11×#535—21no—
75C11×#535C2211yescharacteristic, complemented
76C11×#535C2211yescharacteristic, complemented
77C11×#534—21no—
78C11×#525—21no—
79C11×#525C2211yescharacteristic
80C11×#525C2211yescharacteristic, complemented
81C2×C11×#121—21no—
82C2×C11×#121C2211yescharacteristic, complemented
83C2×C11×#121C2211yescharacteristic, complemented
84C11×#520C2211yescharacteristic, complemented
85C11×#496C2211yescharacteristic, complemented
86C11×#496C2211yescharacteristic, complemented
87C11×#495C2211yescharacteristic, complemented
88C11×#493C2211yescharacteristic, complemented
89C11×#490C2211yescharacteristic, complemented
90C11×#489C2211yescharacteristic, complemented
91C11×#488C2211yescharacteristic, complemented
92C11×#486C2211yescharacteristic, complemented
93C11×#485C2211yescharacteristic, complemented
94C11×#484C2211yescharacteristic, complemented
95C11×#484C2211yescharacteristic, complemented
96C11×#482C2211yescharacteristic, complemented
97C11×#482C2211yescharacteristic, complemented
98C11×#482C2211yescharacteristic, complemented
99C11×#481C2211yescharacteristic, complemented
100C11×#480C2211yescharacteristic, complemented
101C11×#480C2211yescharacteristic, complemented
102C11×#480C2211yescharacteristic, complemented
103C11×#480C2211yescharacteristic, complemented
104C11×#480C2211yescharacteristic, complemented
105C11×#479C2211yescharacteristic, complemented
106C11×#478C2211yescharacteristic, complemented
107C11×#477C2211yescharacteristic, complemented
108C11×#474C2211yescharacteristic, complemented
109C11×#469C2211yescharacteristic, complemented
110C11×#468C2211yescharacteristic, complemented
111C11×#468C2211yescharacteristic, complemented
112C11×#468C2211yescharacteristic, complemented
113C11×#467C2211yescharacteristic, complemented
114C11×#466C2211yescharacteristic, complemented
115C11×#466C2211yescharacteristic, complemented
116C11×#466C2211yescharacteristic, complemented
117C11×#466C2211yescharacteristic, complemented
118C11×#466C2211yescharacteristic, complemented
119C11×#466C2211yescharacteristic, complemented
120C11×#466C2211yescharacteristic, complemented
121C11×#466C2211yescharacteristic, complemented
122C11×#465C2211yescharacteristic, complemented
123C11×#465C2211yescharacteristic, complemented
124C11×#465C2211yescharacteristic, complemented
125C11×#464C2211yescharacteristic, complemented
126C11×#464C2211yescharacteristic, complemented
127C11×#463C2211yescharacteristic, complemented
128C11×#463C2211yescharacteristic, complemented
129C11×#463C2211yescharacteristic, complemented
130C11×#463C2211yescharacteristic, complemented
131C11×#460C2211yescharacteristic, complemented
132C11×#460C2211yescharacteristic, complemented
133C11×#459C2211yescharacteristic, complemented
134C11×#459C2211yescharacteristic, complemented
135C11×#459C2211yescharacteristic, complemented
136C11×#459C2211yescharacteristic, complemented
137C11×#452C2211yescharacteristic, complemented
138C11×#452C2211yescharacteristic, complemented
139C11×#452C2211yescharacteristic, complemented
140C11×#452C2211yescharacteristic, complemented
141C11×#451C2211yescharacteristic, complemented
142C11×#450C2211yescharacteristic, complemented
143C11×#450C2211yescharacteristic, complemented
144C11×#450C2211yescharacteristic, complemented
145C11×#450C2211yescharacteristic, complemented
146C11×#449C2211yescharacteristic
147C11×#449C2211yescharacteristic, complemented
148C11×#449C2211yescharacteristic, complemented
149C11×#449C2211yescharacteristic, complemented
150C11×#449C2211yescharacteristic, complemented
151C11×#449C2211yescharacteristic, complemented
152C11×#449C2211yescharacteristic, complemented
153C11×#449C2211yescharacteristic, complemented
154C11×#449C2211yescharacteristic, complemented
155C11×#449C2211yescharacteristic, complemented
156C11×#449C2211yescharacteristic, complemented
157C11×#449C2211yescharacteristic, complemented
158C11×#449C2211yescharacteristic, complemented
159C11×#449C2211yescharacteristic, complemented
160C11×#449C2211yescharacteristic, complemented
161C11×#449C2211yescharacteristic, complemented
162C11×#448C2211yescharacteristic, complemented
163C11×#447C2211yescharacteristic, complemented
164C11×#447C2211yescharacteristic, complemented
165C11×#447C2211yescharacteristic, complemented
166C11×#447C2211yescharacteristic, complemented
167C11×#447C2211yescharacteristic, complemented
168C11×#447C2211yescharacteristic, complemented
169C11×#447C2211yescharacteristic, complemented
170C11×#447C2211yescharacteristic, complemented
171C11×#447C2211yescharacteristic, complemented
172C11×#447C2211yescharacteristic, complemented
173C11×#442C2211yescharacteristic, complemented
174C11×#440C2211yescharacteristic, complemented
175C11×#440C2211yescharacteristic, complemented
176C11×#440C2211yescharacteristic, complemented
177C4×C11×Q16C2211yescharacteristic, complemented
178C4×C11×SD16C2211yescharacteristic, complemented
179C4×C11×D8C2211yescharacteristic, complemented
180C4×C11×D8C2211yescharacteristic, complemented
181C11×#435C2211yescharacteristic, complemented
182C11×#435C2211yescharacteristic, complemented
183C11×#435C2211yescharacteristic, complemented
184C11×#435C2211yescharacteristic, complemented
185C8×D4×C11C2211yescharacteristic, complemented
186C8×D4×C11C2211yescharacteristic, complemented
187C8×D4×C11C2211yescharacteristic, complemented
188C8×D4×C11C2211yescharacteristic, complemented
189C11×#433C2211yescharacteristic, complemented
190C11×#433C2211yescharacteristic, complemented
191C11×#418C2211yescharacteristic, complemented
192C11×#417C2211yescharacteristic, complemented
193C11×#416C2211yescharacteristic, complemented
194C11×#416C2211yescharacteristic, complemented
195C11×#416C2211yescharacteristic, complemented
196C2×C11×#103C2211yescharacteristic, complemented
197C2×C11×#102C2211yescharacteristic, complemented
198C2×C11×#102C2211yescharacteristic, complemented
199C11×#408C2211yescharacteristic, complemented
200C11×#408C2211yescharacteristic, complemented
201C2×C11×C22⋊C8C2211yescharacteristic, complemented
202C2×C11×C22⋊C8C2211yescharacteristic, complemented
203C11×H(5,𝔽2)—42no—
204C11×H(5,𝔽2)—42no—
205C2×C11×#41—21no—
206C2×C11×#41—21no—
207C2×C11×#41—21no—
208C2×C11×#41—21no—
209C2×C11×#41—42no—
210C2×C11×#41—42no—
211C2×C11×#41C2311yescharacteristic
212C2×C11×#41C2311yescharacteristic
213C2×C11×#41C2311yescharacteristic
214C2×C11×#41C2311yescharacteristic
215C2×C11×#41C2311yescharacteristic
216C2×C11×#41C2311yescharacteristic
217C2×C11×#41C2311yescharacteristic
218C2×C11×#41C2311yescharacteristic
219C2×C11×#41C2311yescharacteristic
220C22×Q8×C11C2311yescharacteristic
221C22×D4×C11—21no—
222C22×D4×C11—21no—
223C22×D4×C11—21no—
224C22×D4×C11—21no—
225C22×D4×C11—21no—
226C22×D4×C11—21no—
227C22×D4×C11—21no—
228C22×D4×C11—21no—
229C22×D4×C11—21no—
230C22×D4×C11C2311yescharacteristic
231C22×D4×C11C2311yescharacteristic
232C22×D4×C11C2311yescharacteristic
233C22×D4×C11C2311yescharacteristic
234C22×D4×C11C2311yescharacteristic
235C22×D4×C11C2311yescharacteristic
236C23×C4×C11—21no—
237C23×C4×C11C2311yescharacteristic
238C11×AGL(1,ℤ/8)—42no—
239C11×AGL(1,ℤ/8)—42no—
240C11×#135—42no—
241C11×#135—42no—
242C11×#135—42no—
243C2×C11×Q16C2311yescharacteristic
244C2×C11×Q16C2311yescharacteristic
245C2×C11×SD16—42no—
246C2×C11×SD16C2311yescharacteristic
247C2×C11×SD16C2311yescharacteristic
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×D8—42no—
257C2×C11×D8—42no—
258C2×C11×D8C2311yescharacteristic
259C2×C11×D8C2311yescharacteristic
260C2×C11×D8C2311yescharacteristic
261C2×C11×D8C2311yescharacteristic
262C2×C11×D8C2311yescharacteristic
263C2×C11×D8C2311yescharacteristic
264C2×C11×D8C2311yescharacteristic
265C2×C11×D8C2311yescharacteristic
266C2×C11×D8C2311yescharacteristic
267C2×C11×D8C2311yescharacteristic
268C2×C11×D8C2311yescharacteristic
269C2×C11×D8C2311yescharacteristic
270C2×C11×M16C2311yescharacteristic
271C2×C11×M16C2311yescharacteristic
272C22×C8×C11C2311yescharacteristic
273C22×C8×C11C2311yescharacteristic
274C22×C8×C11C2311yescharacteristic
275C22×C8×C11C2311yescharacteristic
276C22×C8×C11C2311yescharacteristic
277C22×C8×C11C2311yescharacteristic
278C11×C4⋊Q8C2311yescharacteristic
279C11×#127—21no—
280C11×#127—21no—
281C11×#127—21no—
282C11×#127—21no—
283C11×#127C2311yescharacteristic
284C11×#127C2311yescharacteristic
285C11×#127C2311yescharacteristic
286C11×#126—21no—
287C11×#126—21no—
288C11×#126—21no—
289C11×#125—21no—
290C11×#125C2311yescharacteristic
291C11×#124—21no—
292C11×#124—21no—
293C11×#124—21no—
294C11×#124—21no—
295C11×#124—21no—
296C11×#124—21no—
297C11×#124C2311yescharacteristic
298C11×#124C2311yescharacteristic
299C11×#124C2311yescharacteristic
300C11×#123—21no—
301C11×#123—21no—
302C11×#123—21no—
303C11×#123—21no—
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×#123D411yescharacteristic
313C11×#123D411yescharacteristic
314C11×C22⋊Q8—21no—
315C11×C22⋊Q8—21no—
316C11×C22⋊Q8—21no—
317C11×C22⋊Q8—21no—
318C11×C22⋊Q8—21no—
319C11×C22⋊Q8—21no—
320C11×C22⋊Q8D411yescharacteristic
321C11×C22⋊Q8D411yescharacteristic
322C11×C22⋊Q8C2311yescharacteristic
323C11×C22⋊Q8C2311yescharacteristic
324C11×C22⋊Q8C2311yescharacteristic
325C11×C22⋊Q8C2311yescharacteristic
326C11×C22⋊Q8C2311yescharacteristic
327C11×#121—21no—
328C11×#121—21no—
329C11×#121—21no—
330C11×#121—21no—
331C11×#121—21no—
332C11×#121—21no—
333C11×#121—21no—
334C11×#121—21no—
335C11×#121—21no—
336C11×#121—21no—
337C11×#121—21no—
338C11×#121—21no—
339C11×#121—21no—
340C11×#121—21no—
341C11×#121—21no—
342C11×#121—21no—
343C11×#121—21no—
344C11×#121—21no—
345C11×#121—21no—
346C11×#121—21no—
347C11×#121—21no—
348C11×#121—21no—
349C11×#121—21no—
350C11×#121—21no—
351C11×#121—21no—
352C11×#121—21no—
353C11×#121—21no—
354C11×#121—21no—
355C11×#121—21no—
356C11×#121—21no—
357C11×#121—21no—
358C11×#121D411yescharacteristic
359C11×#121D411yescharacteristic
360C11×#121C2311yescharacteristic
361C11×#121C2311yescharacteristic
362C11×#121C2311yescharacteristic
363C11×#121C2311yescharacteristic
364C11×#121C2311yescharacteristic
365C11×#121C2311yescharacteristic
366C11×#121C2311yescharacteristic
367C11×#121C2311yescharacteristic
368C11×#121C2311yescharacteristic
369C11×#121C2311yescharacteristic
370C11×#121C2311yescharacteristic
371C11×#121C2311yescharacteristic
372C11×#121C2311yescharacteristic
373C11×#121C2311yescharacteristic
374C11×#121C2311yescharacteristic
375C11×#120—21no—
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×#120—21no—
385C11×#120—21no—
386C11×#120—21no—
387C11×#120—21no—
388C11×#120—21no—
389C11×#120—21no—
390C11×#120D411yescharacteristic
391C11×#120D411yescharacteristic
392C4×Q8×C11C2311yescharacteristic
393C4×Q8×C11C2311yescharacteristic
394C4×Q8×C11C2311yescharacteristic
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×C11—21no—
405C4×D4×C11C2311yescharacteristic
406C4×D4×C11C2311yescharacteristic
407C4×D4×C11C2311yescharacteristic
408C4×D4×C11C2311yescharacteristic
409C4×D4×C11C2311yescharacteristic
410C4×D4×C11C2311yescharacteristic
411C4×D4×C11C2311yescharacteristic
412C4×D4×C11C2311yescharacteristic
413C4×D4×C11C2311yescharacteristic
414C11×#117—21no—
415C11×#117—21no—
416C11×#117—21no—
417C11×#117C2311yescharacteristic
418C11×#117C2311yescharacteristic
419C11×#117C2311yescharacteristic
420C2×C11×C4⋊C4—21no—
421C2×C11×C4⋊C4C2311yescharacteristic
422C2×C11×C4⋊C4C2311yescharacteristic
423C2×C11×C4⋊C4C2311yescharacteristic
424C2×C11×C22⋊C4—21no—
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×#107C2311yescharacteristic
435C11×#107C2311yescharacteristic
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×#102C2311yescharacteristic
453C11×#102C2311yescharacteristic
454C11×#102C2311yescharacteristic
455C11×#102C2311yescharacteristic
456C11×#102C2311yescharacteristic
457C11×#102C2311yescharacteristic
458C11×#102C2311yescharacteristic
459C11×#102C2311yescharacteristic
460C11×#102C2311yescharacteristic
461C11×#102C2311yescharacteristic
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#61639C1111yesmaximal, characteristic, direct product factor, Sylow
491C24×C11—21no—
492C24×C11—21no—
493C24×C11—21no—
494C24×C11—21no—
495C24×C11—21no—
496C24×C11—21no—
497C24×C11C2×D411yescharacteristic
498C11×#41—22no—
499C11×#41—22no—
500C11×#41—22no—
501C11×#41—22no—
502C11×#41—22no—
503C11×#41—22no—
504C11×#41—41no—
505C11×#41—41no—
506C11×#41—41no—
507C11×#41—41no—
508C11×#41—41no—
509C11×#41—41no—
510C11×#41—41no—
511C11×#41—41no—
512C11×#41—44no—
513C11×#41—44no—
514C11×#41—41no—
515C11×#41—41no—
516C11×#41—41no—
517C11×#41—41no—
518C11×#41—44no—
519C11×#41—82no—
520C2×Q8×C11—21no—
521C2×Q8×C11—21no—
522C2×Q8×C11—22no—
523C2×Q8×C11—41no—
524C2×Q8×C11C2×D411yescharacteristic
525C2×Q8×C11C2411yescharacteristic
526C2×Q8×C11C2411yescharacteristic
527C2×Q8×C11C2411yescharacteristic
528C2×D4×C11—21no—
529C2×D4×C11—22no—
530C2×D4×C11—22no—
531C2×D4×C11—22no—
532C2×D4×C11—21no—
533C2×D4×C11—21no—
534C2×D4×C11—21no—
535C2×D4×C11—21no—
536C2×D4×C11—21no—
537C2×D4×C11—21no—
538C2×D4×C11—21no—
539C2×D4×C11—21no—
540C2×D4×C11—21no—
541C2×D4×C11—21no—
542C2×D4×C11—21no—
543C2×D4×C11—21no—
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—21no—
562C2×D4×C11—21no—
563C2×D4×C11—21no—
564C2×D4×C11—21no—
565C2×D4×C11—21no—
566C2×D4×C11—41no—
567C2×D4×C11—41no—
568C2×D4×C11—41no—
569C2×D4×C11—41no—
570C2×D4×C11—41no—
571C2×D4×C11—41no—
572C2×D4×C11—41no—
573C2×D4×C11—41no—
574C2×D4×C11—41no—
575C2×D4×C11—44no—
576C2×D4×C11—44no—
577C2×D4×C11—44no—
578C2×D4×C11—44no—
579C2×D4×C11—82no—
580C2×D4×C11—82no—
581C2×D4×C11—82no—
582C2×D4×C11—82no—
583C2×D4×C11—82no—
584C2×D4×C11C2×D411yescharacteristic
585C2×D4×C11C2×D411yescharacteristic
586C2×D4×C11C2×D411yescharacteristic
587C2×D4×C11C2×D411yescharacteristic
588C2×D4×C11C2×D411yescharacteristic
589C2×D4×C11C2×D411yescharacteristic
590C2×D4×C11C2×D411yescharacteristic
591C2×D4×C11C2411yescharacteristic
592C2×D4×C11C2411yescharacteristic
593C2×D4×C11C2411yescharacteristic
594C2×D4×C11C2411yescharacteristic
595C2×D4×C11C2411yescharacteristic
596C2×D4×C11C2411yescharacteristic
597C2×D4×C11C2411yescharacteristic
598C22×C4×C11—21no—
599C22×C4×C11—21no—
600C22×C4×C11—21no—
601C22×C4×C11—21no—
602C22×C4×C11—21no—
603C22×C4×C11—21no—
604C22×C4×C11—21no—
605C22×C4×C11—21no—
606C22×C4×C11—21no—
607C22×C4×C11—21no—
608C22×C4×C11—21no—
609C22×C4×C11—21no—
610C22×C4×C11—21no—
611C22×C4×C11—21no—
612C22×C4×C11—21no—
613C22×C4×C11—21no—
614C22×C4×C11—21no—
615C22×C4×C11—41no—
616C22×C4×C11—41no—
617C22×C4×C11—44no—
618C22×C4×C11C2×D411yescharacteristic
619C22×C4×C11C2×D411yescharacteristic
620C22×C4×C11C2×D411yescharacteristic
621C22×C4×C11C2411yescharacteristic
622C22×C4×C11C2411yescharacteristic
623C22×C4×C11C2411yescharacteristic
624C22×C4×C11C2411yescharacteristic
625C22×C4×C11C2411yescharacteristic
626C11×Q16—22no—
627C11×Q16—41no—
628C11×SD16—22no—
629C11×SD16—22no—
630C11×SD16—22no—
631C11×SD16—22no—
632C11×SD16—41no—
633C11×SD16—41no—
634C11×SD16—41no—
635C11×SD16—41no—
636C11×SD16—41no—
637C11×SD16—41no—
638C11×D8—22no—
639C11×D8—22no—
640C11×D8—22no—
641C11×D8—41no—
642C11×D8—41no—
643C11×D8—41no—
644C11×D8—41no—
645C11×D8—41no—
646C11×D8—41no—
647C11×D8—41no—
648C11×D8—41no—
649C11×D8—41no—
650C11×M16—41no—
651C11×M16—41no—
652C2×C8×C11—41no—
653C2×C8×C11—41no—
654C2×C8×C11—41no—
655C2×C8×C11—41no—
656C2×C8×C11—41no—
657C2×C8×C11—41no—
658C2×C8×C11C2411yescharacteristic
659C2×C8×C11C2411yescharacteristic
660C2×C8×C11C2411yescharacteristic
661C2×C8×C11C2411yescharacteristic
662C2×C8×C11C2411yescharacteristic
663C2×C8×C11C2411yescharacteristic
664C2×C8×C11C2411yescharacteristic
665C2×C8×C11C2411yescharacteristic
666C11×C4⋊C4—21no—
667C11×C4⋊C4—21no—
668C11×C4⋊C4—21no—
669C11×C4⋊C4—21no—
670C11×C4⋊C4—21no—
671C11×C4⋊C4—21no—
672C11×C4⋊C4—21no—
673C11×C4⋊C4—21no—
674C11×C4⋊C4—21no—
675C11×C4⋊C4—21no—
676C11×C4⋊C4—21no—
677C11×C4⋊C4—21no—
678C11×C4⋊C4—21no—
679C11×C4⋊C4—21no—
680C11×C4⋊C4C2×D411yescharacteristic
681C11×C4⋊C4C2×D411yescharacteristic
682C11×C4⋊C4C2×D411yescharacteristic
683C11×C4⋊C4C2×D411yescharacteristic
684C11×C4⋊C4C2×D411yescharacteristic
685C11×C4⋊C4C2×D411yescharacteristic
686C11×C4⋊C4C2411yescharacteristic
687C11×C4⋊C4C2411yescharacteristic
688C11×C4⋊C4C2411yescharacteristic
689C11×C4⋊C4C2411yescharacteristic
690C11×C4⋊C4C2411yescharacteristic
691C11×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
717C11×C22⋊C4—21no—
718C11×C22⋊C4—21no—
719C11×C22⋊C4—21no—
720C11×C22⋊C4—21no—
721C11×C22⋊C4—21no—
722C11×C22⋊C4—21no—
723C11×C22⋊C4—21no—
724C11×C22⋊C4—21no—
725C11×C22⋊C4C2×D411yescharacteristic
726C11×C22⋊C4C2×D411yescharacteristic
727C11×C22⋊C4C2×D411yescharacteristic
728C11×C22⋊C4C2×D411yescharacteristic
729C11×C22⋊C4C2×D411yescharacteristic
730C11×C22⋊C4C2×D411yescharacteristic
731C11×C22⋊C4C2×D411yescharacteristic
732C11×C22⋊C4C2×D411yescharacteristic
733C11×C22⋊C4C2×D411yescharacteristic
734C11×C22⋊C4C2×D411yescharacteristic
735C42×C11—21no—
736C42×C11—21no—
737C42×C11—21no—
738C42×C11—21no—
739C42×C11—21no—
740C42×C11C2411yescharacteristic
741C42×C11C2411yescharacteristic
742#3542C2×C1111yescharacteristic, complemented
743#3488C2×C1111yescharacteristic, complemented
744#3319C2×C1111yescharacteristic, complemented
745#3310C2×C1111yescharacteristic, complemented
746#3309C2×C1111yescharacteristic, complemented
747#3308C2×C1111yescharacteristic, complemented
748#3305C2×C1111yescharacteristic, complemented
749#3300C2×C1111yescharacteristic, complemented
750#3297C2×C1111yescharacteristic, complemented
751#3294C2×C1111yescharacteristic, complemented
752#3287C2×C1111yescharacteristic, complemented
753#3282C2×C1111yescharacteristic, complemented
754#3280C2×C1111yescharacteristic, complemented
755D4×D8C2×C1111yescharacteristic, complemented
756#3268C2×C1111yescharacteristic, complemented
757#3268C2×C1111yescharacteristic, complemented
758#3265C2×C1111yescharacteristic, complemented
759#3264C2×C1111yescharacteristic, complemented
760#3224C2×C1111yescharacteristic, complemented
761#3220C2×C1111yescharacteristic, complemented
762#3203C2×C1111yescharacteristic, complemented
763#3198C2×C1111yescharacteristic, complemented
764#3188C2×C1111yescharacteristic, complemented
765#3186C2×C1111yescharacteristic, complemented
766#3124C2×C1111yescharacteristic, complemented
767#3119C2×C1111yescharacteristic, complemented
768#3012C2×C1111yescharacteristic, complemented
769#3008C2×C1111yescharacteristic, complemented
770#3002C2×C1111yescharacteristic, complemented
771C2×#449C2×C1111yescharacteristic, complemented
772#2977C2×C1111yescharacteristic, complemented
773C23×C11—21no—
774C23×C11—22no—
775C23×C11—21no—
776C23×C11—21no—
777C23×C11—21no—
778C23×C11—21no—
779C23×C11—21no—
780C23×C11—21no—
781C23×C11—41no—
782C23×C11—41no—
783C23×C11—42no—
784C23×C11—42no—
785C23×C11—42no—
786C23×C11—42no—
787C23×C11—42no—
788C23×C11—42no—
789C23×C11—81no—
790C23×C11—81no—
791C23×C11—81no—
792C23×C11—81no—
793C23×C11—81no—
794C23×C11—81no—
795C23×C11—81no—
796C23×C11—81no—
797C23×C11—81no—
798C23×C11—81no—
799C23×C11—81no—
800C23×C11—81no—
801C23×C11C22×D411yescharacteristic
802C23×C11C22×D411yescharacteristic
803C23×C11C22×D411yescharacteristic
804C23×C11C22×D411yescharacteristic
805C23×C11C22×D411yescharacteristic
806Q8×C11—21no—
807Q8×C11—21no—
808Q8×C11—21no—
809Q8×C11—21no—
810Q8×C11—21no—
811Q8×C11—41no—
812Q8×C11—42no—
813Q8×C11—81no—
814Q8×C11H(5,𝔽2)12yes—
815D4×C11—24no—
816D4×C11—22no—
817D4×C11—22no—
818D4×C11—21no—
819D4×C11—21no—
820D4×C11—21no—
821D4×C11—21no—
822D4×C11—21no—
823D4×C11—21no—
824D4×C11—21no—
825D4×C11—21no—
826D4×C11—21no—
827D4×C11—21no—
828D4×C11—21no—
829D4×C11—21no—
830D4×C11—21no—
831D4×C11—41no—
832D4×C11—41no—
833D4×C11—41no—
834D4×C11—41no—
835D4×C11—41no—
836D4×C11—42no—
837D4×C11—42no—
838D4×C11—42no—
839D4×C11—42no—
840D4×C11—42no—
841D4×C11—42no—
842D4×C11—42no—
843D4×C11—42no—
844D4×C11—42no—
845D4×C11—42no—
846D4×C11—42no—
847D4×C11—42no—
848D4×C11—81no—
849D4×C11—81no—
850D4×C11—81no—
851D4×C11—81no—
852D4×C11—81no—
853D4×C11—81no—
854D4×C11—81no—
855D4×C11—81no—
856D4×C11—81no—
857D4×C11—81no—
858D4×C11—81no—
859D4×C11—81no—
860D4×C11—81no—
861D4×C11—81no—
862D4×C11—81no—
863D4×C11—81no—
864D4×C11—81no—
865D4×C11—81no—
866D4×C11—81no—
867D4×C11—81no—
868D4×C11—81no—
869D4×C11—81no—
870D4×C11H(5,𝔽2)12yes—
871C2×C4×C11—24no—
872C2×C4×C11—21no—
873C2×C4×C11—21no—
874C2×C4×C11—21no—
875C2×C4×C11—21no—
876C2×C4×C11—21no—
877C2×C4×C11—21no—
878C2×C4×C11—21no—
879C2×C4×C11—21no—
880C2×C4×C11—21no—
881C2×C4×C11—21no—
882C2×C4×C11—21no—
883C2×C4×C11—21no—
884C2×C4×C11—21no—
885C2×C4×C11—21no—
886C2×C4×C11—21no—
887C2×C4×C11—21no—
888C2×C4×C11—21no—
889C2×C4×C11—21no—
890C2×C4×C11—21no—
891C2×C4×C11—41no—
892C2×C4×C11—41no—
893C2×C4×C11—41no—
894C2×C4×C11—42no—
895C2×C4×C11—42no—
896C2×C4×C11—42no—
897C2×C4×C11—42no—
898C2×C4×C11—42no—
899C2×C4×C11—42no—
900C2×C4×C11—42no—
901C2×C4×C11—81no—
902C2×C4×C11—81no—
903C2×C4×C11—81no—
904C2×C4×C11—81no—
905C2×C4×C11—81no—
906C2×C4×C11—81no—
907C2×C4×C11—81no—
908C2×C4×C11—81no—
909C2×C4×C11—81no—
910C2×C4×C11C22×D411yescharacteristic
911C2×C4×C11C22×D411yescharacteristic
912C2×C4×C11C22×D411yescharacteristic
913C2×C4×C11C22×D411yescharacteristic
914C2×C4×C11C22×D411yescharacteristic
915C2×C4×C11C22×D411yescharacteristic
916C2×C4×C11C22×D411yescharacteristic
917C2×C4×C11C22×D411yescharacteristic
918C2×C4×C11C22×D411yescharacteristic
919C2×C4×C11C2511yescharacteristic
920C8×C11—21no—
921C8×C11—21no—
922C8×C11—21no—
923C8×C11—21no—
924C8×C11—21no—
925C8×C11—21no—
926C8×C11—21no—
927C8×C11—21no—
928C2×H(5,𝔽2)C22×C1111yescharacteristic, complemented
929C22×#41C22×C1111yescharacteristic, complemented
930C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
931C2×AGL(1,ℤ/8)C22×C1111yescharacteristic, complemented
932C2×#135C22×C1111yescharacteristic, complemented
933C2×#135C22×C1111yescharacteristic, complemented
934C2×#135C22×C1111yescharacteristic, complemented
935C22×SD16C22×C1111yescharacteristic, complemented
936C22×D8C22×C1111yescharacteristic, complemented
937C22×D8C22×C1111yescharacteristic, complemented
938#562—21no—
939#560—21no—
940#555C22×C1111yescharacteristic, complemented
941#553C22×C1111yescharacteristic, complemented
942#552C22×C1111yescharacteristic, complemented
943#551—21no—
944#550C22×C1111yescharacteristic, complemented
945#550C22×C1111yescharacteristic, complemented
946#550C22×C1111yescharacteristic, complemented
947#548C22×C1111yescharacteristic
948#548C22×C1111yescharacteristic, complemented
949#547C22×C1111yescharacteristic, complemented
950#546—21no—
951#546—21no—
952#546—21no—
953#546C22×C1111yescharacteristic, complemented
954#546C22×C1111yescharacteristic, complemented
955#546C22×C1111yescharacteristic, complemented
956#546C22×C1111yescharacteristic, complemented
957D42—21no—
958D42—21no—
959D42C22×C1111yescharacteristic
960D42C22×C1111yescharacteristic, complemented
961D42C22×C1111yescharacteristic, complemented
962#542C22×C1111yescharacteristic, complemented
963#540—21no—
964#540C22×C1111yescharacteristic, complemented
965#538—21no—
966#537—21no—
967#537C22×C1111yescharacteristic, complemented
968#537C22×C1111yescharacteristic, complemented
969#535—21no—
970#535—21no—
971#535C22×C1111yescharacteristic, complemented
972#535C22×C1111yescharacteristic, complemented
973#534—21no—
974#525—21no—
975#525C22×C1111yescharacteristic
976#525C22×C1111yescharacteristic, complemented
977C2×#121—21no—
978C2×#121C22×C1111yescharacteristic, complemented
979C2×#121C22×C1111yescharacteristic, complemented
980#520C22×C1111yescharacteristic, complemented
981#496C22×C1111yescharacteristic, complemented
982#496C22×C1111yescharacteristic, complemented
983#495C22×C1111yescharacteristic, complemented
984#493C22×C1111yescharacteristic, complemented
985#490C22×C1111yescharacteristic, complemented
986#489C22×C1111yescharacteristic, complemented
987#488C22×C1111yescharacteristic, complemented
988#486C22×C1111yescharacteristic, complemented
989#485C22×C1111yescharacteristic, complemented
990#484C22×C1111yescharacteristic, complemented
991#484C22×C1111yescharacteristic, complemented
992#482C22×C1111yescharacteristic, complemented
993#482C22×C1111yescharacteristic, complemented
994#482C22×C1111yescharacteristic, complemented
995#481C22×C1111yescharacteristic, complemented
996#480C22×C1111yescharacteristic, complemented
997#480C22×C1111yescharacteristic, complemented
998#480C22×C1111yescharacteristic, complemented
999#480C22×C1111yescharacteristic, complemented
1000#480C22×C1111yescharacteristic, complemented
1001#479C22×C1111yescharacteristic, complemented
1002#478C22×C1111yescharacteristic, complemented
1003#477C22×C1111yescharacteristic, complemented
1004#474C22×C1111yescharacteristic, complemented
1005#469C22×C1111yescharacteristic, complemented
1006#468C22×C1111yescharacteristic, complemented
1007#468C22×C1111yescharacteristic, complemented
1008#468C22×C1111yescharacteristic, complemented
1009#467C22×C1111yescharacteristic, complemented
1010#466C22×C1111yescharacteristic, complemented
1011#466C22×C1111yescharacteristic, complemented
1012#466C22×C1111yescharacteristic, complemented
1013#466C22×C1111yescharacteristic, complemented
1014#466C22×C1111yescharacteristic, complemented
1015#466C22×C1111yescharacteristic, complemented
1016#466C22×C1111yescharacteristic, complemented
1017#466C22×C1111yescharacteristic, complemented
1018#465C22×C1111yescharacteristic, complemented
1019#465C22×C1111yescharacteristic, complemented
1020#465C22×C1111yescharacteristic, complemented
1021#464C22×C1111yescharacteristic, complemented
1022#464C22×C1111yescharacteristic, complemented
1023#463C22×C1111yescharacteristic, complemented
1024#463C22×C1111yescharacteristic, complemented
1025#463C22×C1111yescharacteristic, complemented
1026#463C22×C1111yescharacteristic, complemented
1027#460C22×C1111yescharacteristic, complemented
1028#460C22×C1111yescharacteristic, complemented
1029#459C22×C1111yescharacteristic, complemented
1030#459C22×C1111yescharacteristic, complemented
1031#459C22×C1111yescharacteristic, complemented
1032#459C22×C1111yescharacteristic, complemented
1033#452C22×C1111yescharacteristic, complemented
1034#452C22×C1111yescharacteristic, complemented
1035#452C22×C1111yescharacteristic, complemented
1036#452C22×C1111yescharacteristic, complemented
1037#451C22×C1111yescharacteristic, complemented
1038#450C22×C1111yescharacteristic, complemented
1039#450C22×C1111yescharacteristic, complemented
1040#450C22×C1111yescharacteristic, complemented
1041#450C22×C1111yescharacteristic, complemented
1042#449C22×C1111yescharacteristic
1043#449C22×C1111yescharacteristic, complemented
1044#449C22×C1111yescharacteristic, complemented
1045#449C22×C1111yescharacteristic, complemented
1046#449C22×C1111yescharacteristic, complemented
1047#449C22×C1111yescharacteristic, complemented
1048#449C22×C1111yescharacteristic, complemented
1049#449C22×C1111yescharacteristic, complemented
1050#449C22×C1111yescharacteristic, complemented
1051#449C22×C1111yescharacteristic, complemented
1052#449C22×C1111yescharacteristic, complemented
1053#449C22×C1111yescharacteristic, complemented
1054#449C22×C1111yescharacteristic, complemented
1055#449C22×C1111yescharacteristic, complemented
1056#449C22×C1111yescharacteristic, complemented
1057#449C22×C1111yescharacteristic, complemented
1058#448C22×C1111yescharacteristic, complemented
1059#447C22×C1111yescharacteristic, complemented
1060#447C22×C1111yescharacteristic, complemented
1061#447C22×C1111yescharacteristic, complemented
1062#447C22×C1111yescharacteristic, complemented
1063#447C22×C1111yescharacteristic, complemented
1064#447C22×C1111yescharacteristic, complemented
1065#447C22×C1111yescharacteristic, complemented
1066#447C22×C1111yescharacteristic, complemented
1067#447C22×C1111yescharacteristic, complemented
1068#447C22×C1111yescharacteristic, complemented
1069#442C22×C1111yescharacteristic, complemented
1070#440C22×C1111yescharacteristic, complemented
1071#440C22×C1111yescharacteristic, complemented
1072#440C22×C1111yescharacteristic, complemented
1073C4×Q16C22×C1111yescharacteristic, complemented
1074C4×SD16C22×C1111yescharacteristic, complemented
1075C4×D8C22×C1111yescharacteristic, complemented
1076C4×D8C22×C1111yescharacteristic, complemented
1077#435C22×C1111yescharacteristic, complemented
1078#435C22×C1111yescharacteristic, complemented
1079#435C22×C1111yescharacteristic, complemented
1080#435C22×C1111yescharacteristic, complemented
1081C8×D4C22×C1111yescharacteristic, complemented
1082C8×D4C22×C1111yescharacteristic, complemented
1083C8×D4C22×C1111yescharacteristic, complemented
1084C8×D4C22×C1111yescharacteristic, complemented
1085#433C22×C1111yescharacteristic, complemented
1086#433C22×C1111yescharacteristic, complemented
1087#418C22×C1111yescharacteristic, complemented
1088#417C22×C1111yescharacteristic, complemented
1089#416C22×C1111yescharacteristic, complemented
1090#416C22×C1111yescharacteristic, complemented
1091#416C22×C1111yescharacteristic, complemented
1092C2×#103C22×C1111yescharacteristic, complemented
1093C2×#102C22×C1111yescharacteristic, complemented
1094C2×#102C22×C1111yescharacteristic, complemented
1095#408C22×C1111yescharacteristic, complemented
1096#408C22×C1111yescharacteristic, complemented
1097C2×C22⋊C8C22×C1111yescharacteristic, complemented
1098C2×C22⋊C8C22×C1111yescharacteristic, complemented
1099C22×C11—21no—
1100C22×C11—21no—
1101C22×C11—21no—
1102C22×C11—21no—
1103C22×C11—21no—
1104C22×C11—21no—
1105C22×C11—21no—
1106C22×C11—22no—
1107C22×C11—21no—
1108C22×C11—21no—
1109C22×C11—21no—
1110C22×C11—21no—
1111C22×C11—21no—
1112C22×C11—21no—
1113C22×C11—21no—
1114C22×C11—41no—
1115C22×C11—41no—
1116C22×C11—41no—
1117C22×C11—41no—
1118C22×C11—41no—
1119C22×C11—41no—
1120C22×C11—41no—
1121C22×C11—41no—
1122C22×C11—41no—
1123C22×C11—41no—
1124C22×C11—41no—
1125C22×C11—41no—
1126C22×C11—41no—
1127C22×C11—41no—
1128C22×C11—41no—
1129C22×C11—41no—
1130C22×C11—41no—
1131C22×C11—41no—
1132C22×C11—41no—
1133C22×C11—41no—
1134C22×C11—82no—
1135C22×C11—84no—
1136C22×C11—162no—
1137C22×C11—162no—
1138C22×C11—162no—
1139C22×C11—162no—
1140C22×C11—162no—
1141C22×C11#57612yes—
1142C22×C11C23×D411yescharacteristic
1143C4×C11—21no—
1144C4×C11—21no—
1145C4×C11—21no—
1146C4×C11—22no—
1147C4×C11—21no—
1148C4×C11—21no—
1149C4×C11—21no—
1150C4×C11—21no—
1151C4×C11—21no—
1152C4×C11—21no—
1153C4×C11—41no—
1154C4×C11—41no—
1155C4×C11—41no—
1156C4×C11—41no—
1157C4×C11—41no—
1158C4×C11—41no—
1159C4×C11—41no—
1160C4×C11—41no—
1161C4×C11C2×H(5,𝔽2)11yescharacteristic
1162C4×C11C2×H(5,𝔽2)11yescharacteristic
1163H(5,𝔽2)—42no—
1164H(5,𝔽2)—42no—
1165C2×#41—21no—
1166C2×#41—21no—
1167C2×#41—21no—
1168C2×#41—21no—
1169C2×#41—42no—
1170C2×#41—42no—
1171C2×#41C23×C1111yescharacteristic
1172C2×#41C23×C1111yescharacteristic
1173C2×#41C23×C1111yescharacteristic
1174C2×#41C23×C1111yescharacteristic
1175C2×#41C23×C1111yescharacteristic
1176C2×#41C23×C1111yescharacteristic
1177C2×#41C23×C1111yescharacteristic
1178C2×#41C23×C1111yescharacteristic
1179C2×#41C23×C1111yescharacteristic
1180C22×Q8C23×C1111yescharacteristic
1181C22×D4—21no—
1182C22×D4—21no—
1183C22×D4—21no—
1184C22×D4—21no—
1185C22×D4—21no—
1186C22×D4—21no—
1187C22×D4—21no—
1188C22×D4—21no—
1189C22×D4—21no—
1190C22×D4C23×C1111yescharacteristic
1191C22×D4C23×C1111yescharacteristic
1192C22×D4C23×C1111yescharacteristic
1193C22×D4C23×C1111yescharacteristic
1194C22×D4C23×C1111yescharacteristic
1195C22×D4C23×C1111yescharacteristic
1196C23×C4—21no—
1197C23×C4C23×C1111yescharacteristic
1198AGL(1,ℤ/8)—42no—
1199AGL(1,ℤ/8)—42no—
1200#135—42no—
1201#135—42no—
1202#135—42no—
1203C2×Q16C23×C1111yescharacteristic
1204C2×Q16C23×C1111yescharacteristic
1205C2×SD16—42no—
1206C2×SD16C23×C1111yescharacteristic
1207C2×SD16C23×C1111yescharacteristic
1208C2×SD16C23×C1111yescharacteristic
1209C2×SD16C23×C1111yescharacteristic
1210C2×SD16C23×C1111yescharacteristic
1211C2×SD16C23×C1111yescharacteristic
1212C2×SD16C23×C1111yescharacteristic
1213C2×SD16C23×C1111yescharacteristic
1214C2×SD16C23×C1111yescharacteristic
1215C2×SD16C23×C1111yescharacteristic
1216C2×D8—42no—
1217C2×D8—42no—
1218C2×D8C23×C1111yescharacteristic
1219C2×D8C23×C1111yescharacteristic
1220C2×D8C23×C1111yescharacteristic
1221C2×D8C23×C1111yescharacteristic
1222C2×D8C23×C1111yescharacteristic
1223C2×D8C23×C1111yescharacteristic
1224C2×D8C23×C1111yescharacteristic
1225C2×D8C23×C1111yescharacteristic
1226C2×D8C23×C1111yescharacteristic
1227C2×D8C23×C1111yescharacteristic
1228C2×D8C23×C1111yescharacteristic
1229C2×D8C23×C1111yescharacteristic
1230C2×M16C23×C1111yescharacteristic
1231C2×M16C23×C1111yescharacteristic
1232C22×C8C23×C1111yescharacteristic
1233C22×C8C23×C1111yescharacteristic
1234C22×C8C23×C1111yescharacteristic
1235C22×C8C23×C1111yescharacteristic
1236C22×C8C23×C1111yescharacteristic
1237C22×C8C23×C1111yescharacteristic
1238C4⋊Q8C23×C1111yescharacteristic
1239#127—21no—
1240#127—21no—
1241#127—21no—
1242#127—21no—
1243#127C23×C1111yescharacteristic
1244#127C23×C1111yescharacteristic
1245#127C23×C1111yescharacteristic
1246#126—21no—
1247#126—21no—
1248#126—21no—
1249#125—21no—
1250#125C23×C1111yescharacteristic
1251#124—21no—
1252#124—21no—
1253#124—21no—
1254#124—21no—
1255#124—21no—
1256#124—21no—
1257#124C23×C1111yescharacteristic
1258#124C23×C1111yescharacteristic
1259#124C23×C1111yescharacteristic
1260#123—21no—
1261#123—21no—
1262#123—21no—
1263#123—21no—
1264#123—21no—
1265#123—21no—
1266#123—21no—
1267#123—21no—
1268#123—21no—
1269#123—21no—
1270#123—21no—
1271#123—21no—
1272#123D4×C1111yescharacteristic
1273#123D4×C1111yescharacteristic
1274C22⋊Q8—21no—
1275C22⋊Q8—21no—
1276C22⋊Q8—21no—
1277C22⋊Q8—21no—
1278C22⋊Q8—21no—
1279C22⋊Q8—21no—
1280C22⋊Q8D4×C1111yescharacteristic
1281C22⋊Q8D4×C1111yescharacteristic
1282C22⋊Q8C23×C1111yescharacteristic
1283C22⋊Q8C23×C1111yescharacteristic
1284C22⋊Q8C23×C1111yescharacteristic
1285C22⋊Q8C23×C1111yescharacteristic
1286C22⋊Q8C23×C1111yescharacteristic
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—21no—
1312#121—21no—
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121—21no—
1317#121—21no—
1318#121D4×C1111yescharacteristic
1319#121D4×C1111yescharacteristic
1320#121C23×C1111yescharacteristic
1321#121C23×C1111yescharacteristic
1322#121C23×C1111yescharacteristic
1323#121C23×C1111yescharacteristic
1324#121C23×C1111yescharacteristic
1325#121C23×C1111yescharacteristic
1326#121C23×C1111yescharacteristic
1327#121C23×C1111yescharacteristic
1328#121C23×C1111yescharacteristic
1329#121C23×C1111yescharacteristic
1330#121C23×C1111yescharacteristic
1331#121C23×C1111yescharacteristic
1332#121C23×C1111yescharacteristic
1333#121C23×C1111yescharacteristic
1334#121C23×C1111yescharacteristic
1335#120—21no—
1336#120—21no—
1337#120—21no—
1338#120—21no—
1339#120—21no—
1340#120—21no—
1341#120—21no—
1342#120—21no—
1343#120—21no—
1344#120—21no—
1345#120—21no—
1346#120—21no—
1347#120—21no—
1348#120—21no—
1349#120—21no—
1350#120D4×C1111yescharacteristic
1351#120D4×C1111yescharacteristic
1352C4×Q8C23×C1111yescharacteristic
1353C4×Q8C23×C1111yescharacteristic
1354C4×Q8C23×C1111yescharacteristic
1355C4×D4—21no—
1356C4×D4—21no—
1357C4×D4—21no—
1358C4×D4—21no—
1359C4×D4—21no—
1360C4×D4—21no—
1361C4×D4—21no—
1362C4×D4—21no—
1363C4×D4—21no—
1364C4×D4—21no—
1365C4×D4C23×C1111yescharacteristic
1366C4×D4C23×C1111yescharacteristic
1367C4×D4C23×C1111yescharacteristic
1368C4×D4C23×C1111yescharacteristic
1369C4×D4C23×C1111yescharacteristic
1370C4×D4C23×C1111yescharacteristic
1371C4×D4C23×C1111yescharacteristic
1372C4×D4C23×C1111yescharacteristic
1373C4×D4C23×C1111yescharacteristic
1374#117—21no—
1375#117—21no—
1376#117—21no—
1377#117C23×C1111yescharacteristic
1378#117C23×C1111yescharacteristic
1379#117C23×C1111yescharacteristic
1380C2×C4⋊C4—21no—
1381C2×C4⋊C4C23×C1111yescharacteristic
1382C2×C4⋊C4C23×C1111yescharacteristic
1383C2×C4⋊C4C23×C1111yescharacteristic
1384C2×C22⋊C4—21no—
1385C2×C22⋊C4—21no—
1386C2×C22⋊C4—21no—
1387C2×C22⋊C4—21no—
1388C2×C22⋊C4—21no—
1389C2×C22⋊C4—21no—
1390#107C23×C1111yescharacteristic
1391#107C23×C1111yescharacteristic
1392#107C23×C1111yescharacteristic
1393#107C23×C1111yescharacteristic
1394#107C23×C1111yescharacteristic
1395#107C23×C1111yescharacteristic
1396#106C23×C1111yescharacteristic
1397#106C23×C1111yescharacteristic
1398C4⋊C8C23×C1111yescharacteristic
1399C4⋊C8C23×C1111yescharacteristic
1400C4⋊C8C23×C1111yescharacteristic
1401C4⋊C8C23×C1111yescharacteristic
1402#103C23×C1111yescharacteristic
1403#103C23×C1111yescharacteristic
1404#103C23×C1111yescharacteristic
1405#103C23×C1111yescharacteristic
1406#103C23×C1111yescharacteristic
1407#103C23×C1111yescharacteristic
1408#103C23×C1111yescharacteristic
1409#103C23×C1111yescharacteristic
1410#103C23×C1111yescharacteristic
1411#103C23×C1111yescharacteristic
1412#102C23×C1111yescharacteristic
1413#102C23×C1111yescharacteristic
1414#102C23×C1111yescharacteristic
1415#102C23×C1111yescharacteristic
1416#102C23×C1111yescharacteristic
1417#102C23×C1111yescharacteristic
1418#102C23×C1111yescharacteristic
1419#102C23×C1111yescharacteristic
1420#102C23×C1111yescharacteristic
1421#102C23×C1111yescharacteristic
1422#102C23×C1111yescharacteristic
1423#102C23×C1111yescharacteristic
1424#102C23×C1111yescharacteristic
1425#102C23×C1111yescharacteristic
1426#102C23×C1111yescharacteristic
1427#102C23×C1111yescharacteristic
1428#102C23×C1111yescharacteristic
1429#102C23×C1111yescharacteristic
1430#102C23×C1111yescharacteristic
1431#102C23×C1111yescharacteristic
1432#102C23×C1111yescharacteristic
1433#102C23×C1111yescharacteristic
1434C22⋊C8C23×C1111yescharacteristic
1435C22⋊C8C23×C1111yescharacteristic
1436C22⋊C8C23×C1111yescharacteristic
1437C22⋊C8C23×C1111yescharacteristic
1438C22⋊C8C23×C1111yescharacteristic
1439C22⋊C8C23×C1111yescharacteristic
1440C22⋊C8C23×C1111yescharacteristic
1441C22⋊C8C23×C1111yescharacteristic
1442C22⋊C8C23×C1111yescharacteristic
1443C22⋊C8C23×C1111yescharacteristic
1444C22⋊C8C23×C1111yescharacteristic
1445C22⋊C8C23×C1111yescharacteristic
1446#97C23×C1111yescharacteristic
1447#97C23×C1111yescharacteristic
1448C4×C8C23×C1111yescharacteristic
1449C4×C8C23×C1111yescharacteristic
1450C2×C11—22no—
1451C2×C11—41no—
1452C2×C11—41no—
1453C2×C11—41no—
1454C2×C11—41no—
1455C2×C11—42no—
1456C2×C11—81no—
1457C2×C11—81no—
1458C2×C11—81no—
1459C2×C11—81no—
1460C2×C11—81no—
1461C2×C11—81no—
1462C2×C11#348411yescharacteristic
1463C2×C11C2×#57611yescharacteristic
1464C2×C11#358411yescharacteristic
1465C24—21no—
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—21no—
1470C24—21no—
1471C24C2×D4×C1111yescharacteristic
1472#41—22no—
1473#41—22no—
1474#41—22no—
1475#41—22no—
1476#41—22no—
1477#41—22no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—41no—
1484#41—41no—
1485#41—41no—
1486#41—44no—
1487#41—44no—
1488#41—41no—
1489#41—41no—
1490#41—41no—
1491#41—41no—
1492#41—44no—
1493#41—82no—
1494C2×Q8—21no—
1495C2×Q8—21no—
1496C2×Q8—22no—
1497C2×Q8—41no—
1498C2×Q8C2×D4×C1111yescharacteristic
1499C2×Q8C24×C1111yescharacteristic
1500C2×Q8C24×C1111yescharacteristic
1501C2×Q8C24×C1111yescharacteristic
1502C2×D4—21no—
1503C2×D4—22no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—21no—
1536C2×D4—21no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—41no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—41no—
1546C2×D4—41no—
1547C2×D4—41no—
1548C2×D4—41no—
1549C2×D4—44no—
1550C2×D4—44no—
1551C2×D4—44no—
1552C2×D4—44no—
1553C2×D4—82no—
1554C2×D4—82no—
1555C2×D4—82no—
1556C2×D4—82no—
1557C2×D4—82no—
1558C2×D4C2×D4×C1111yescharacteristic
1559C2×D4C2×D4×C1111yescharacteristic
1560C2×D4C2×D4×C1111yescharacteristic
1561C2×D4C2×D4×C1111yescharacteristic
1562C2×D4C2×D4×C1111yescharacteristic
1563C2×D4C2×D4×C1111yescharacteristic
1564C2×D4C2×D4×C1111yescharacteristic
1565C2×D4C24×C1111yescharacteristic
1566C2×D4C24×C1111yescharacteristic
1567C2×D4C24×C1111yescharacteristic
1568C2×D4C24×C1111yescharacteristic
1569C2×D4C24×C1111yescharacteristic
1570C2×D4C24×C1111yescharacteristic
1571C2×D4C24×C1111yescharacteristic
1572C22×C4—21no—
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—21no—
1579C22×C4—21no—
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—21no—
1583C22×C4—21no—
1584C22×C4—21no—
1585C22×C4—21no—
1586C22×C4—21no—
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—41no—
1590C22×C4—41no—
1591C22×C4—44no—
1592C22×C4C2×D4×C1111yescharacteristic
1593C22×C4C2×D4×C1111yescharacteristic
1594C22×C4C2×D4×C1111yescharacteristic
1595C22×C4C24×C1111yescharacteristic
1596C22×C4C24×C1111yescharacteristic
1597C22×C4C24×C1111yescharacteristic
1598C22×C4C24×C1111yescharacteristic
1599C22×C4C24×C1111yescharacteristic
1600Q16—22no—
1601Q16—41no—
1602SD16—22no—
1603SD16—22no—
1604SD16—22no—
1605SD16—22no—
1606SD16—41no—
1607SD16—41no—
1608SD16—41no—
1609SD16—41no—
1610SD16—41no—
1611SD16—41no—
1612D8—22no—
1613D8—22no—
1614D8—22no—
1615D8—41no—
1616D8—41no—
1617D8—41no—
1618D8—41no—
1619D8—41no—
1620D8—41no—
1621D8—41no—
1622D8—41no—
1623D8—41no—
1624M16—41no—
1625M16—41no—
1626C2×C8—41no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—41no—
1630C2×C8—41no—
1631C2×C8—41no—
1632C2×C8C24×C1111yescharacteristic
1633C2×C8C24×C1111yescharacteristic
1634C2×C8C24×C1111yescharacteristic
1635C2×C8C24×C1111yescharacteristic
1636C2×C8C24×C1111yescharacteristic
1637C2×C8C24×C1111yescharacteristic
1638C2×C8C24×C1111yescharacteristic
1639C2×C8C24×C1111yescharacteristic
1640C4⋊C4—21no—
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—21no—
1647C4⋊C4—21no—
1648C4⋊C4—21no—
1649C4⋊C4—21no—
1650C4⋊C4—21no—
1651C4⋊C4—21no—
1652C4⋊C4—21no—
1653C4⋊C4—21no—
1654C4⋊C4C2×D4×C1111yescharacteristic
1655C4⋊C4C2×D4×C1111yescharacteristic
1656C4⋊C4C2×D4×C1111yescharacteristic
1657C4⋊C4C2×D4×C1111yescharacteristic
1658C4⋊C4C2×D4×C1111yescharacteristic
1659C4⋊C4C2×D4×C1111yescharacteristic
1660C4⋊C4C24×C1111yescharacteristic
1661C4⋊C4C24×C1111yescharacteristic
1662C4⋊C4C24×C1111yescharacteristic
1663C4⋊C4C24×C1111yescharacteristic
1664C4⋊C4C24×C1111yescharacteristic
1665C4⋊C4C24×C1111yescharacteristic
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—21no—
1697C22⋊C4—21no—
1698C22⋊C4—21no—
1699C22⋊C4C2×D4×C1111yescharacteristic
1700C22⋊C4C2×D4×C1111yescharacteristic
1701C22⋊C4C2×D4×C1111yescharacteristic
1702C22⋊C4C2×D4×C1111yescharacteristic
1703C22⋊C4C2×D4×C1111yescharacteristic
1704C22⋊C4C2×D4×C1111yescharacteristic
1705C22⋊C4C2×D4×C1111yescharacteristic
1706C22⋊C4C2×D4×C1111yescharacteristic
1707C22⋊C4C2×D4×C1111yescharacteristic
1708C22⋊C4C2×D4×C1111yescharacteristic
1709C42—21no—
1710C42—21no—
1711C42—21no—
1712C42—21no—
1713C42—21no—
1714C42C24×C1111yescharacteristic
1715C42C24×C1111yescharacteristic
1716C11#6163911yescharacteristic, direct product factor, Sylow
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—41no—
1726C23—41no—
1727C23—42no—
1728C23—42no—
1729C23—42no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—81no—
1734C23—81no—
1735C23—81no—
1736C23—81no—
1737C23—81no—
1738C23—81no—
1739C23—81no—
1740C23—81no—
1741C23—81no—
1742C23—81no—
1743C23—81no—
1744C23—81no—
1745C23C22×D4×C1111yescharacteristic
1746C23C22×D4×C1111yescharacteristic
1747C23C22×D4×C1111yescharacteristic
1748C23C22×D4×C1111yescharacteristic
1749C23C22×D4×C1111yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—41no—
1756Q8—42no—
1757Q8—81no—
1758Q8C11×H(5,𝔽2)12yes—
1759D4—24no—
1760D4—22no—
1761D4—22no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—21no—
1773D4—21no—
1774D4—21no—
1775D4—41no—
1776D4—41no—
1777D4—41no—
1778D4—41no—
1779D4—41no—
1780D4—42no—
1781D4—42no—
1782D4—42no—
1783D4—42no—
1784D4—42no—
1785D4—42no—
1786D4—42no—
1787D4—42no—
1788D4—42no—
1789D4—42no—
1790D4—42no—
1791D4—42no—
1792D4—81no—
1793D4—81no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4—81no—
1807D4—81no—
1808D4—81no—
1809D4—81no—
1810D4—81no—
1811D4—81no—
1812D4—81no—
1813D4—81no—
1814D4C11×H(5,𝔽2)12yes—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—41no—
1836C2×C4—41no—
1837C2×C4—41no—
1838C2×C4—42no—
1839C2×C4—42no—
1840C2×C4—42no—
1841C2×C4—42no—
1842C2×C4—42no—
1843C2×C4—42no—
1844C2×C4—42no—
1845C2×C4—81no—
1846C2×C4—81no—
1847C2×C4—81no—
1848C2×C4—81no—
1849C2×C4—81no—
1850C2×C4—81no—
1851C2×C4—81no—
1852C2×C4—81no—
1853C2×C4—81no—
1854C2×C4C22×D4×C1111yescharacteristic
1855C2×C4C22×D4×C1111yescharacteristic
1856C2×C4C22×D4×C1111yescharacteristic
1857C2×C4C22×D4×C1111yescharacteristic
1858C2×C4C22×D4×C1111yescharacteristic
1859C2×C4C22×D4×C1111yescharacteristic
1860C2×C4C22×D4×C1111yescharacteristic
1861C2×C4C22×D4×C1111yescharacteristic
1862C2×C4C22×D4×C1111yescharacteristic
1863C2×C4C25×C1111yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—21no—
1869C8—21no—
1870C8—21no—
1871C8—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—22no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—21no—
1883C22—21no—
1884C22—21no—
1885C22—21no—
1886C22—21no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—82no—
1908C22—84no—
1909C22—162no—
1910C22—162no—
1911C22—162no—
1912C22—162no—
1913C22—162no—
1914C22C11×#57612yes—
1915C22C23×D4×C1111yescharacteristic
1916C4—21no—
1917C4—22no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—21no—
1922C4—21no—
1923C4—21no—
1924C4—21no—
1925C4—21no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—41no—
1933C4—41no—
1934C4C2×C11×H(5,𝔽2)11yescharacteristic
1935C4C2×C11×H(5,𝔽2)11yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—41no—
1940C2—41no—
1941C2—42no—
1942C2—81no—
1943C2—81no—
1944C2—81no—
1945C2—81no—
1946C2—81no—
1947C2—81no—
1948C2C11×#348411yescharacteristic
1949C2C2×C11×#57611yescharacteristic
1950C2C11×#358411yescharacteristic
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×#3542C2semidirect
2. C11×#3488C2semidirect
3. C11×#3319C2semidirect
4. C11×#3310C2semidirect
5. C11×#3309C2semidirect
6. C11×#3308C2semidirect
7. C11×#3305C2semidirect
8. C11×#3300C2semidirect
9. C11×#3297C2semidirect
10. C11×#3294C2semidirect
11. C11×#3287C2semidirect
12. C11×#3282C2semidirect
13. C11×#3280C2semidirect
14. D4×C11×D8C2semidirect
15. C11×#3268C2semidirect
16. C11×#3268C2semidirect
17. C11×#3265C2semidirect
18. C11×#3264C2semidirect
19. C11×#3224C2semidirect
20. C11×#3220C2semidirect
21. C11×#3203C2semidirect
22. C11×#3198C2semidirect
23. C11×#3188C2semidirect
24. C11×#3186C2semidirect
25. C11×#3124C2semidirect
26. C11×#3119C2semidirect
27. C11×#3012C2semidirect
28. C11×#3008C2semidirect
29. C11×#3002C2semidirect
30. C2×C11×#449C2semidirect
31. C11×#2977C2semidirect
32. C2×C11×H(5,𝔽2)C22semidirect
33. C22×C11×#41C22semidirect
34. C2×C11×AGL(1,ℤ/8)C22semidirect
35. C2×C11×AGL(1,ℤ/8)C22semidirect
36. C2×C11×#135C22semidirect
37. C2×C11×#135C22semidirect
38. C2×C11×#135C22semidirect
39. C22×C11×SD16C22semidirect
40. C22×C11×D8C22semidirect
41. C22×C11×D8C22semidirect
44. C11×#555C22semidirect
45. C11×#553C22semidirect
46. C11×#552C22semidirect
48. C11×#550C22semidirect
49. C11×#550C22semidirect
50. C11×#550C22semidirect
52. C11×#548C22semidirect
53. C11×#547C22semidirect
57. C11×#546C22semidirect
58. C11×#546C22semidirect
59. C11×#546C22semidirect
60. C11×#546C22semidirect
64. D42×C11C22semidirect
65. D42×C11C22semidirect
66. C11×#542C22semidirect
68. C11×#540C22semidirect
71. C11×#537C22semidirect
72. C11×#537C22semidirect
75. C11×#535C22semidirect
76. C11×#535C22semidirect
80. C11×#525C22semidirect
82. C2×C11×#121C22semidirect
83. C2×C11×#121C22semidirect
84. C11×#520C22semidirect
85. C11×#496C22semidirect
86. C11×#496C22semidirect
87. C11×#495C22semidirect
88. C11×#493C22semidirect
89. C11×#490C22semidirect
90. C11×#489C22semidirect
91. C11×#488C22semidirect
92. C11×#486C22semidirect
93. C11×#485C22semidirect
94. C11×#484C22semidirect
95. C11×#484C22semidirect
96. C11×#482C22semidirect
97. C11×#482C22semidirect
98. C11×#482C22semidirect
99. C11×#481C22semidirect
100. C11×#480C22semidirect
101. C11×#480C22semidirect
102. C11×#480C22semidirect
103. C11×#480C22semidirect
104. C11×#480C22semidirect
105. C11×#479C22semidirect
106. C11×#478C22semidirect
107. C11×#477C22semidirect
108. C11×#474C22semidirect
109. C11×#469C22semidirect
110. C11×#468C22semidirect
111. C11×#468C22semidirect
112. C11×#468C22semidirect
113. C11×#467C22semidirect
114. C11×#466C22semidirect
115. C11×#466C22semidirect
116. C11×#466C22semidirect
117. C11×#466C22semidirect
118. C11×#466C22semidirect
119. C11×#466C22semidirect
120. C11×#466C22semidirect
121. C11×#466C22semidirect
122. C11×#465C22semidirect
123. C11×#465C22semidirect
124. C11×#465C22semidirect
125. C11×#464C22semidirect
126. C11×#464C22semidirect
127. C11×#463C22semidirect
128. C11×#463C22semidirect
129. C11×#463C22semidirect
130. C11×#463C22semidirect
131. C11×#460C22semidirect
132. C11×#460C22semidirect
133. C11×#459C22semidirect
134. C11×#459C22semidirect
135. C11×#459C22semidirect
136. C11×#459C22semidirect
137. C11×#452C22semidirect
138. C11×#452C22semidirect
139. C11×#452C22semidirect
140. C11×#452C22semidirect
141. C11×#451C22semidirect
142. C11×#450C22semidirect
143. C11×#450C22semidirect
144. C11×#450C22semidirect
145. C11×#450C22semidirect
147. C11×#449C22semidirect
148. C11×#449C22semidirect
149. C11×#449C22semidirect
150. C11×#449C22semidirect
151. C11×#449C22semidirect
152. C11×#449C22semidirect
153. C11×#449C22semidirect
154. C11×#449C22semidirect
155. C11×#449C22semidirect
156. C11×#449C22semidirect
157. C11×#449C22semidirect
158. C11×#449C22semidirect
159. C11×#449C22semidirect
160. C11×#449C22semidirect
161. C11×#449C22semidirect
162. C11×#448C22semidirect
163. C11×#447C22semidirect
164. C11×#447C22semidirect
165. C11×#447C22semidirect
166. C11×#447C22semidirect
167. C11×#447C22semidirect
168. C11×#447C22semidirect
169. C11×#447C22semidirect
170. C11×#447C22semidirect
171. C11×#447C22semidirect
172. C11×#447C22semidirect
173. C11×#442C22semidirect
174. C11×#440C22semidirect
175. C11×#440C22semidirect
176. C11×#440C22semidirect
177. C4×C11×Q16C22semidirect
178. C4×C11×SD16C22semidirect
179. C4×C11×D8C22semidirect
180. C4×C11×D8C22semidirect
181. C11×#435C22semidirect
182. C11×#435C22semidirect
183. C11×#435C22semidirect
184. C11×#435C22semidirect
185. C8×D4×C11C22semidirect
186. C8×D4×C11C22semidirect
187. C8×D4×C11C22semidirect
188. C8×D4×C11C22semidirect
189. C11×#433C22semidirect
190. C11×#433C22semidirect
191. C11×#418C22semidirect
192. C11×#417C22semidirect
193. C11×#416C22semidirect
194. C11×#416C22semidirect
195. C11×#416C22semidirect
196. C2×C11×#103C22semidirect
197. C2×C11×#102C22semidirect
198. C2×C11×#102C22semidirect
199. C11×#408C22semidirect
200. C11×#408C22semidirect
201. C2×C11×C22⋊C8C22semidirect
202. C2×C11×C22⋊C8C22semidirect
490. #61639C11direct (N × H)
742. #3542C2×C11semidirect
743. #3488C2×C11semidirect
744. #3319C2×C11semidirect
745. #3310C2×C11semidirect
746. #3309C2×C11semidirect
747. #3308C2×C11semidirect
748. #3305C2×C11semidirect
749. #3300C2×C11semidirect
750. #3297C2×C11semidirect
751. #3294C2×C11semidirect
752. #3287C2×C11semidirect
753. #3282C2×C11semidirect
754. #3280C2×C11semidirect
755. D4×D8C2×C11semidirect
756. #3268C2×C11semidirect
757. #3268C2×C11semidirect
758. #3265C2×C11semidirect
759. #3264C2×C11semidirect
760. #3224C2×C11semidirect
761. #3220C2×C11semidirect
762. #3203C2×C11semidirect
763. #3198C2×C11semidirect
764. #3188C2×C11semidirect
765. #3186C2×C11semidirect
766. #3124C2×C11semidirect
767. #3119C2×C11semidirect
768. #3012C2×C11semidirect
769. #3008C2×C11semidirect
770. #3002C2×C11semidirect
771. C2×#449C2×C11semidirect
772. #2977C2×C11semidirect
928. C2×H(5,𝔽2)C22×C11semidirect
929. C22×#41C22×C11semidirect
930. C2×AGL(1,ℤ/8)C22×C11semidirect
931. C2×AGL(1,ℤ/8)C22×C11semidirect
932. C2×#135C22×C11semidirect
933. C2×#135C22×C11semidirect
934. C2×#135C22×C11semidirect
935. C22×SD16C22×C11semidirect
936. C22×D8C22×C11semidirect
937. C22×D8C22×C11semidirect
940. #555C22×C11semidirect
941. #553C22×C11semidirect
942. #552C22×C11semidirect
944. #550C22×C11semidirect
945. #550C22×C11semidirect
946. #550C22×C11semidirect
948. #548C22×C11semidirect
949. #547C22×C11semidirect
953. #546C22×C11semidirect
954. #546C22×C11semidirect
955. #546C22×C11semidirect
956. #546C22×C11semidirect
960. D42C22×C11semidirect
961. D42C22×C11semidirect
962. #542C22×C11semidirect
964. #540C22×C11semidirect
967. #537C22×C11semidirect
968. #537C22×C11semidirect
971. #535C22×C11semidirect
972. #535C22×C11semidirect
976. #525C22×C11semidirect
978. C2×#121C22×C11semidirect
979. C2×#121C22×C11semidirect
980. #520C22×C11semidirect
981. #496C22×C11semidirect
982. #496C22×C11semidirect
983. #495C22×C11semidirect
984. #493C22×C11semidirect
985. #490C22×C11semidirect
986. #489C22×C11semidirect
987. #488C22×C11semidirect
988. #486C22×C11semidirect
989. #485C22×C11semidirect
990. #484C22×C11semidirect
991. #484C22×C11semidirect
992. #482C22×C11semidirect
993. #482C22×C11semidirect
994. #482C22×C11semidirect
995. #481C22×C11semidirect
996. #480C22×C11semidirect
997. #480C22×C11semidirect
998. #480C22×C11semidirect
999. #480C22×C11semidirect
1000. #480C22×C11semidirect
1001. #479C22×C11semidirect
1002. #478C22×C11semidirect
1003. #477C22×C11semidirect
1004. #474C22×C11semidirect
1005. #469C22×C11semidirect
1006. #468C22×C11semidirect
1007. #468C22×C11semidirect
1008. #468C22×C11semidirect
1009. #467C22×C11semidirect
1010. #466C22×C11semidirect
1011. #466C22×C11semidirect
1012. #466C22×C11semidirect
1013. #466C22×C11semidirect
1014. #466C22×C11semidirect
1015. #466C22×C11semidirect
1016. #466C22×C11semidirect
1017. #466C22×C11semidirect
1018. #465C22×C11semidirect
1019. #465C22×C11semidirect
1020. #465C22×C11semidirect
1021. #464C22×C11semidirect
1022. #464C22×C11semidirect
1023. #463C22×C11semidirect
1024. #463C22×C11semidirect
1025. #463C22×C11semidirect
1026. #463C22×C11semidirect
1027. #460C22×C11semidirect
1028. #460C22×C11semidirect
1029. #459C22×C11semidirect
1030. #459C22×C11semidirect
1031. #459C22×C11semidirect
1032. #459C22×C11semidirect
1033. #452C22×C11semidirect
1034. #452C22×C11semidirect
1035. #452C22×C11semidirect
1036. #452C22×C11semidirect
1037. #451C22×C11semidirect
1038. #450C22×C11semidirect
1039. #450C22×C11semidirect
1040. #450C22×C11semidirect
1041. #450C22×C11semidirect
1043. #449C22×C11semidirect
1044. #449C22×C11semidirect
1045. #449C22×C11semidirect
1046. #449C22×C11semidirect
1047. #449C22×C11semidirect
1048. #449C22×C11semidirect
1049. #449C22×C11semidirect
1050. #449C22×C11semidirect
1051. #449C22×C11semidirect
1052. #449C22×C11semidirect
1053. #449C22×C11semidirect
1054. #449C22×C11semidirect
1055. #449C22×C11semidirect
1056. #449C22×C11semidirect
1057. #449C22×C11semidirect
1058. #448C22×C11semidirect
1059. #447C22×C11semidirect
1060. #447C22×C11semidirect
1061. #447C22×C11semidirect
1062. #447C22×C11semidirect
1063. #447C22×C11semidirect
1064. #447C22×C11semidirect
1065. #447C22×C11semidirect
1066. #447C22×C11semidirect
1067. #447C22×C11semidirect
1068. #447C22×C11semidirect
1069. #442C22×C11semidirect
1070. #440C22×C11semidirect
1071. #440C22×C11semidirect
1072. #440C22×C11semidirect
1073. C4×Q16C22×C11semidirect
1074. C4×SD16C22×C11semidirect
1075. C4×D8C22×C11semidirect
1076. C4×D8C22×C11semidirect
1077. #435C22×C11semidirect
1078. #435C22×C11semidirect
1079. #435C22×C11semidirect
1080. #435C22×C11semidirect
1081. C8×D4C22×C11semidirect
1082. C8×D4C22×C11semidirect
1083. C8×D4C22×C11semidirect
1084. C8×D4C22×C11semidirect
1085. #433C22×C11semidirect
1086. #433C22×C11semidirect
1087. #418C22×C11semidirect
1088. #417C22×C11semidirect
1089. #416C22×C11semidirect
1090. #416C22×C11semidirect
1091. #416C22×C11semidirect
1092. C2×#103C22×C11semidirect
1093. C2×#102C22×C11semidirect
1094. C2×#102C22×C11semidirect
1095. #408C22×C11semidirect
1096. #408C22×C11semidirect
1097. C2×C22⋊C8C22×C11semidirect
1098. C2×C22⋊C8C22×C11semidirect
1716. C11#61639direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35422
C11×#34882
C11×#33192
C11×#33102
C11×#33092
C11×#33082
C11×#33052
C11×#33002
C11×#32972
C11×#32942
C11×#32872
C11×#32822
C11×#32802
D4×C11×D82
C11×#32682
C11×#32652
C11×#32642
C11×#32242
C11×#32202
C11×#32032
C11×#31982
C11×#31882
C11×#31862
C11×#31242
C11×#31192
C11×#30122
C11×#30082
C11×#30022
C2×C11×#4492
C11×#29772
#6163911