Finite Group Databasebeta

← C2×C11×#3187 #14637922

Subgroups — C2×C11×#3187 #14637922

Order 2816.

2698 conjugacy classes of subgroups.

The subgroup lattice has 576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C11×C22⋊Q8C211yesmaximal, characteristic, complemented
2C22×C11×#121C211yesmaximal, characteristic
3C11×#3187C2116yesmaximal, direct product factor
4C2×C11×#481C212yesmaximal, complemented
5C2×C11×#483C212yesmaximal, complemented
6C2×C11×#465C214yesmaximal, complemented
7C2×C11×#448C212yesmaximal, complemented
8C2×C11×#450C212yesmaximal, complemented
9C22×C11×C22⋊C8C211yesmaximal, characteristic, complemented
10C23×Q8×C11C2211yescharacteristic, complemented
11C23×D4×C11—21no—
12C23×D4×C11C2211yescharacteristic
13C24×C4×C11C2211yescharacteristic
14C22×C11×SD16C2214yescomplemented
15C23×C8×C11C2212yescomplemented
16C2×C11×C22⋊Q8—21no—
17C2×C11×C22⋊Q8—21no—
18C2×C11×C22⋊Q8—24no—
19C2×C11×C22⋊Q8C2212yes—
20C2×C11×C22⋊Q8C2212yescomplemented
21C2×C11×C22⋊Q8C2218yescomplemented
22C2×C11×#121—21no—
23C2×C11×#121—24no—
24C2×C11×#121—21no—
25C2×C11×#121C2218yes—
26C2×C11×#121C2212yes—
27C2×C11×#121C2212yes—
28C22×C11×C4⋊C4—21no—
29C22×C11×C4⋊C4C2211yescharacteristic
30C22×C11×C4⋊C4C2211yescharacteristic, complemented
31C22×C11×C22⋊C4—21no—
32C22×C11×C22⋊C4—21no—
33C11×#483C22116yescomplemented
34C11×#481C22116yescomplemented
35C11×#465C22132yescomplemented
36C11×#450C22116yescomplemented
37C11×#448C22116yescomplemented
38C2×C11×#106C2214yescomplemented
39C2×C11×#103C2214yescomplemented
40C2×C11×#102C2214yescomplemented
41C2×C11×C22⋊C8C2212yes—
42C2×C11×C22⋊C8C2218yescomplemented
43C2×C11×C22⋊C8C2212yescomplemented
44C25×C11—21no—
45C25×C11D411yescharacteristic
46C22×Q8×C11—22no—
47C22×Q8×C11—21no—
48C22×Q8×C11—44no—
49C22×Q8×C11C2312yes—
50C22×Q8×C11C2314yescomplemented
51C22×D4×C11—28no—
52C22×D4×C11—22no—
53C22×D4×C11—22no—
54C22×D4×C11—22no—
55C22×D4×C11—21no—
56C22×D4×C11—44no—
57C22×D4×C11—48no—
58C22×D4×C11C2312yes—
59C22×D4×C11C2314yes—
60C23×C4×C11—21no—
61C23×C4×C11—21no—
62C23×C4×C11—21no—
63C23×C4×C11—44no—
64C23×C4×C11D411yescharacteristic
65C23×C4×C11D411yescharacteristic
66C23×C4×C11D414yes—
67C23×C4×C11D411yescharacteristic
68C23×C4×C11C2311yescharacteristic
69C23×C4×C11C2311yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C23×C4×C11C2314yes—
72C2×C11×SD16—48no—
73C2×C11×SD16C23116yescomplemented
74C22×C8×C11—44no—
75C22×C8×C11C2314yes—
76C22×C8×C11C2318yescomplemented
77C11×C22⋊Q8—24no—
78C11×C22⋊Q8—28no—
79C11×C22⋊Q8—28no—
80C11×C22⋊Q8—24no—
81C11×C22⋊Q8C2318yes—
82C11×C22⋊Q8C2318yescomplemented
83C11×#121—24no—
84C11×#121—24no—
85C11×#121—28no—
86C11×#121—28no—
87C11×#121C2318yes—
88C11×#121C2318yes—
89C2×C11×C4⋊C4—22no—
90C2×C11×C4⋊C4—28no—
91C2×C11×C4⋊C4—22no—
92C2×C11×C4⋊C4—22no—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4—22no—
95C2×C11×C4⋊C4—21no—
96C2×C11×C4⋊C4C2312yes—
97C2×C11×C4⋊C4C2314yes—
98C2×C11×C4⋊C4C2312yes—
99C2×C11×C4⋊C4C2314yescomplemented
100C2×C11×C22⋊C4—22no—
101C2×C11×C22⋊C4—28no—
102C2×C11×C22⋊C4—22no—
103C2×C11×C22⋊C4—28no—
104C2×C11×C22⋊C4—22no—
105C2×C11×C22⋊C4—22no—
106C11×#106C23116yescomplemented
107C11×#103C23116yescomplemented
108C11×#102C23116yescomplemented
109C11×C22⋊C8C2318yes—
110C11×C22⋊C8C2318yescomplemented
111C2×#3187C1111yesmaximal, characteristic, direct product factor, Sylow
112C24×C11—24no—
113C24×C11—22no—
114C24×C11—42no—
115C24×C11—42no—
116C24×C11—44no—
117C24×C11—44no—
118C24×C11—44no—
119C24×C11SD1618yescomplemented
120C24×C11C2×D411yescharacteristic
121C24×C11C2×D411yescharacteristic
122C24×C11C2×D411yescharacteristic
123C24×C11C2×D414yes—
124C2×Q8×C11—22no—
125C2×Q8×C11—24no—
126C2×Q8×C11—28no—
127C2×Q8×C11—48no—
128C2×Q8×C11—44no—
129C2×Q8×C11—48no—
130C2×Q8×C11C2414yes—
131C2×D4×C11—28no—
132C2×D4×C11—28no—
133C2×D4×C11—24no—
134C2×D4×C11—22no—
135C2×D4×C11—28no—
136C2×D4×C11—48no—
137C2×D4×C11—44no—
138C2×D4×C11—48no—
139C2×D4×C11—48no—
140C2×D4×C11—48no—
141C2×D4×C11—432no—
142C2×D4×C11C2414yes—
143C22×C4×C11—24no—
144C22×C4×C11—24no—
145C22×C4×C11—24no—
146C22×C4×C11—24no—
147C22×C4×C11—24no—
148C22×C4×C11—24no—
149C22×C4×C11—22no—
150C22×C4×C11—22no—
151C22×C4×C11—22no—
152C22×C4×C11—48no—
153C22×C4×C11—48no—
154C22×C4×C11—42no—
155C22×C4×C11—42no—
156C22×C4×C11—42no—
157C22×C4×C11—44no—
158C22×C4×C11—44no—
159C22×C4×C11—44no—
160C22×C4×C11C2×D412yes—
161C22×C4×C11C2×D412yes—
162C22×C4×C11C2×D412yes—
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D414yes—
167C22×C4×C11C2×D414yes—
168C22×C4×C11C2×D414yes—
169C22×C4×C11C2412yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2411yescharacteristic
173C11×SD16—416no—
174C2×C8×C11—28no—
175C2×C8×C11—48no—
176C2×C8×C11C2418yes—
177C11×C4⋊C4—28no—
178C11×C4⋊C4—28no—
179C11×C4⋊C4—24no—
180C11×C4⋊C4—22no—
181C11×C4⋊C4—22no—
182C11×C4⋊C4—24no—
183C11×C4⋊C4C2414yes—
184C11×C4⋊C4C2414yes—
185C11×C22⋊C4—28no—
186C11×C22⋊C4—28no—
187C11×C22⋊C4—28no—
188C11×C22⋊C4—28no—
189C22×C22⋊Q8C2×C1111yescharacteristic, complemented
190C22×#121C2×C1111yescharacteristic
191#3187C2×C11116yesdirect product factor
192C2×#481C2×C1112yescomplemented
193C2×#483C2×C1112yescomplemented
194C2×#465C2×C1114yescomplemented
195C2×#448C2×C1112yescomplemented
196C2×#450C2×C1112yescomplemented
197C22×C22⋊C8C2×C1111yescharacteristic, complemented
198C23×C11—22no—
199C23×C11—22no—
200C23×C11—22no—
201C23×C11—22no—
202C23×C11—22no—
203C23×C11—22no—
204C23×C11—24no—
205C23×C11—44no—
206C23×C11—416no—
207C23×C11—44no—
208C23×C11—48no—
209C23×C11—48no—
210C23×C11—44no—
211C23×C11—48no—
212C23×C11—44no—
213C23×C11—44no—
214C23×C11—816no—
215C23×C11C2×SD1614yes—
216C23×C11C2×SD1614yes—
217C23×C11C2×SD1614yes—
218C23×C11C2×SD16116yescomplemented
219C23×C11C22×D412yes—
220C23×C11C22×D412yes—
221C23×C11C22×D412yes—
222C23×C11C22×D411yescharacteristic
223Q8×C11—28no—
224Q8×C11—48no—
225Q8×C11—44no—
226D4×C11—28no—
227D4×C11—48no—
228D4×C11—416no—
229D4×C11—416no—
230D4×C11—44no—
231C2×C4×C11—22no—
232C2×C4×C11—22no—
233C2×C4×C11—22no—
234C2×C4×C11—24no—
235C2×C4×C11—24no—
236C2×C4×C11—24no—
237C2×C4×C11—24no—
238C2×C4×C11—24no—
239C2×C4×C11—24no—
240C2×C4×C11—24no—
241C2×C4×C11—24no—
242C2×C4×C11—24no—
243C2×C4×C11—44no—
244C2×C4×C11—44no—
245C2×C4×C11—44no—
246C2×C4×C11—48no—
247C2×C4×C11—48no—
248C2×C4×C11—44no—
249C2×C4×C11—48no—
250C2×C4×C11—44no—
251C2×C4×C11—44no—
252C2×C4×C11C22×D412yes—
253C2×C4×C11C22×D412yes—
254C2×C4×C11C22×D412yes—
255C2×C4×C11C22×D411yescharacteristic
256C2×C4×C11H(5,𝔽2)14yes—
257C2×C4×C11C2511yescharacteristic
258C8×C11—28no—
259C23×Q8C22×C1111yescharacteristic, complemented
260C23×D4—21no—
261C23×D4C22×C1111yescharacteristic
262C24×C4C22×C1111yescharacteristic
263C22×SD16C22×C1114yescomplemented
264C23×C8C22×C1112yescomplemented
265C2×C22⋊Q8—21no—
266C2×C22⋊Q8—21no—
267C2×C22⋊Q8—24no—
268C2×C22⋊Q8C22×C1112yes—
269C2×C22⋊Q8C22×C1112yescomplemented
270C2×C22⋊Q8C22×C1118yescomplemented
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—24no—
274C2×#121C22×C1112yes—
275C2×#121C22×C1118yes—
276C2×#121C22×C1112yes—
277C22×C4⋊C4—21no—
278C22×C4⋊C4C22×C1111yescharacteristic
279C22×C4⋊C4C22×C1111yescharacteristic, complemented
280C22×C22⋊C4—21no—
281C22×C22⋊C4—21no—
282#483C22×C11116yescomplemented
283#481C22×C11116yescomplemented
284#465C22×C11132yescomplemented
285#450C22×C11116yescomplemented
286#448C22×C11116yescomplemented
287C2×#106C22×C1114yescomplemented
288C2×#103C22×C1114yescomplemented
289C2×#102C22×C1114yescomplemented
290C2×C22⋊C8C22×C1112yes—
291C2×C22⋊C8C22×C1118yescomplemented
292C2×C22⋊C8C22×C1112yescomplemented
293C22×C11—28no—
294C22×C11—28no—
295C22×C11—28no—
296C22×C11—22no—
297C22×C11—22no—
298C22×C11—22no—
299C22×C11—22no—
300C22×C11—22no—
301C22×C11—22no—
302C22×C11—416no—
303C22×C11—44no—
304C22×C11—44no—
305C22×C11—44no—
306C22×C11—816no—
307C22×C11—88no—
308C22×C11#53412yes—
309C22×C11C22×SD1614yes—
310C22×C11C22×SD1614yes—
311C22×C11C22×SD1614yes—
312C22×C11C22×SD1612yes—
313C22×C11#57512yes—
314C22×C11C23×D411yescharacteristic
315C4×C11—22no—
316C4×C11—22no—
317C4×C11—22no—
318C4×C11—44no—
319C4×C11—44no—
320C4×C11—44no—
321C4×C11#53412yes—
322C4×C11C2×H(5,𝔽2)12yes—
323C25—21no—
324C25D4×C1111yescharacteristic
325C22×Q8—21no—
326C22×Q8—22no—
327C22×Q8—44no—
328C22×Q8C23×C1112yes—
329C22×Q8C23×C1114yescomplemented
330C22×D4—22no—
331C22×D4—22no—
332C22×D4—28no—
333C22×D4—21no—
334C22×D4—22no—
335C22×D4—44no—
336C22×D4—48no—
337C22×D4C23×C1112yes—
338C22×D4C23×C1114yes—
339C23×C4—21no—
340C23×C4—21no—
341C23×C4—21no—
342C23×C4—44no—
343C23×C4D4×C1111yescharacteristic
344C23×C4D4×C1111yescharacteristic
345C23×C4D4×C1114yes—
346C23×C4D4×C1111yescharacteristic
347C23×C4C23×C1111yescharacteristic
348C23×C4C23×C1111yescharacteristic
349C23×C4C23×C1111yescharacteristic
350C23×C4C23×C1114yes—
351C2×SD16—48no—
352C2×SD16C23×C11116yescomplemented
353C22×C8—44no—
354C22×C8C23×C1114yes—
355C22×C8C23×C1118yescomplemented
356C22⋊Q8—24no—
357C22⋊Q8—28no—
358C22⋊Q8—28no—
359C22⋊Q8—24no—
360C22⋊Q8C23×C1118yes—
361C22⋊Q8C23×C1118yescomplemented
362#121—24no—
363#121—24no—
364#121—28no—
365#121—28no—
366#121C23×C1118yes—
367#121C23×C1118yes—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—28no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4—22no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4C23×C1112yes—
376C2×C4⋊C4C23×C1114yes—
377C2×C4⋊C4C23×C1112yes—
378C2×C4⋊C4C23×C1114yescomplemented
379C2×C22⋊C4—22no—
380C2×C22⋊C4—28no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—28no—
385#106C23×C11116yescomplemented
386#103C23×C11116yescomplemented
387#102C23×C11116yescomplemented
388C22⋊C8C23×C1118yes—
389C22⋊C8C23×C1118yescomplemented
390C2×C11—24no—
391C2×C11—24no—
392C2×C11—24no—
393C2×C11—84no—
394C2×C11#318714yesdirect product factor
395C2×C11C2×#53411yescharacteristic
396C2×C11C23×SD1611yescharacteristic
397C2×C11C2×#57511yescharacteristic
398C24—24no—
399C24—22no—
400C24—42no—
401C24—42no—
402C24—44no—
403C24—44no—
404C24—44no—
405C24C11×SD1618yescomplemented
406C24C2×D4×C1111yescharacteristic
407C24C2×D4×C1111yescharacteristic
408C24C2×D4×C1111yescharacteristic
409C24C2×D4×C1114yes—
410C2×Q8—22no—
411C2×Q8—24no—
412C2×Q8—28no—
413C2×Q8—48no—
414C2×Q8—44no—
415C2×Q8—48no—
416C2×Q8C24×C1114yes—
417C2×D4—28no—
418C2×D4—28no—
419C2×D4—24no—
420C2×D4—22no—
421C2×D4—28no—
422C2×D4—48no—
423C2×D4—44no—
424C2×D4—48no—
425C2×D4—48no—
426C2×D4—48no—
427C2×D4—432no—
428C2×D4C24×C1114yes—
429C22×C4—24no—
430C22×C4—24no—
431C22×C4—24no—
432C22×C4—22no—
433C22×C4—24no—
434C22×C4—22no—
435C22×C4—24no—
436C22×C4—24no—
437C22×C4—22no—
438C22×C4—48no—
439C22×C4—48no—
440C22×C4—42no—
441C22×C4—42no—
442C22×C4—42no—
443C22×C4—44no—
444C22×C4—44no—
445C22×C4—44no—
446C22×C4C2×D4×C1111yescharacteristic
447C22×C4C2×D4×C1111yescharacteristic
448C22×C4C2×D4×C1111yescharacteristic
449C22×C4C2×D4×C1112yes—
450C22×C4C2×D4×C1112yes—
451C22×C4C2×D4×C1112yes—
452C22×C4C2×D4×C1114yes—
453C22×C4C2×D4×C1114yes—
454C22×C4C2×D4×C1114yes—
455C22×C4C24×C1112yes—
456C22×C4C24×C1112yes—
457C22×C4C24×C1112yes—
458C22×C4C24×C1111yescharacteristic
459SD16—416no—
460C2×C8—28no—
461C2×C8—48no—
462C2×C8C24×C1118yes—
463C4⋊C4—28no—
464C4⋊C4—28no—
465C4⋊C4—24no—
466C4⋊C4—22no—
467C4⋊C4—22no—
468C4⋊C4—24no—
469C4⋊C4C24×C1114yes—
470C4⋊C4C24×C1114yes—
471C22⋊C4—28no—
472C22⋊C4—28no—
473C22⋊C4—28no—
474C22⋊C4—28no—
475C11C2×#318711yescharacteristic, direct product factor, Sylow
476C23—22no—
477C23—22no—
478C23—22no—
479C23—22no—
480C23—22no—
481C23—22no—
482C23—24no—
483C23—44no—
484C23—416no—
485C23—44no—
486C23—48no—
487C23—48no—
488C23—44no—
489C23—48no—
490C23—44no—
491C23—44no—
492C23—816no—
493C23C2×C11×SD1614yes—
494C23C2×C11×SD1614yes—
495C23C2×C11×SD1614yes—
496C23C2×C11×SD16116yescomplemented
497C23C22×D4×C1112yes—
498C23C22×D4×C1112yes—
499C23C22×D4×C1112yes—
500C23C22×D4×C1111yescharacteristic
501Q8—28no—
502Q8—48no—
503Q8—44no—
504D4—28no—
505D4—48no—
506D4—416no—
507D4—416no—
508D4—44no—
509C2×C4—22no—
510C2×C4—22no—
511C2×C4—22no—
512C2×C4—24no—
513C2×C4—24no—
514C2×C4—24no—
515C2×C4—24no—
516C2×C4—24no—
517C2×C4—24no—
518C2×C4—24no—
519C2×C4—24no—
520C2×C4—24no—
521C2×C4—44no—
522C2×C4—44no—
523C2×C4—44no—
524C2×C4—48no—
525C2×C4—48no—
526C2×C4—44no—
527C2×C4—48no—
528C2×C4—44no—
529C2×C4—44no—
530C2×C4C22×D4×C1112yes—
531C2×C4C22×D4×C1112yes—
532C2×C4C22×D4×C1112yes—
533C2×C4C22×D4×C1111yescharacteristic
534C2×C4C11×H(5,𝔽2)14yes—
535C2×C4C25×C1111yescharacteristic
536C8—28no—
537C22—28no—
538C22—28no—
539C22—28no—
540C22—22no—
541C22—22no—
542C22—22no—
543C22—22no—
544C22—22no—
545C22—22no—
546C22—416no—
547C22—44no—
548C22—44no—
549C22—44no—
550C22—816no—
551C22—88no—
552C22C11×#53412yes—
553C22C22×C11×SD1614yes—
554C22C22×C11×SD1614yes—
555C22C22×C11×SD1614yes—
556C22C22×C11×SD1612yes—
557C22C11×#57512yes—
558C22C23×D4×C1111yescharacteristic
559C4—22no—
560C4—22no—
561C4—22no—
562C4—44no—
563C4—44no—
564C4—44no—
565C4C11×#53412yes—
566C4C2×C11×H(5,𝔽2)12yes—
567C2—24no—
568C2—24no—
569C2—24no—
570C2—84no—
571C2C11×#318714yesdirect product factor
572C2C2×C11×#53411yescharacteristic
573C2C23×C11×SD1611yescharacteristic
574C2C2×C11×#57511yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC2×C4C25×C11
prime radicalC22×C11×#121C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C24×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C11×C22⋊Q8C2semidirect
3. C11×#3187C2direct (N × H)
4. C2×C11×#481C2semidirect
5. C2×C11×#483C2semidirect
6. C2×C11×#465C2semidirect
7. C2×C11×#448C2semidirect
8. C2×C11×#450C2semidirect
9. C22×C11×C22⋊C8C2semidirect
10. C23×Q8×C11C22semidirect
14. C22×C11×SD16C22semidirect
15. C23×C8×C11C22semidirect
20. C2×C11×C22⋊Q8C22semidirect
21. C2×C11×C22⋊Q8C22semidirect
30. C22×C11×C4⋊C4C22semidirect
33. C11×#483C22semidirect
34. C11×#481C22semidirect
35. C11×#465C22semidirect
36. C11×#450C22semidirect
37. C11×#448C22semidirect
38. C2×C11×#106C22semidirect
39. C2×C11×#103C22semidirect
40. C2×C11×#102C22semidirect
42. C2×C11×C22⋊C8C22semidirect
43. C2×C11×C22⋊C8C22semidirect
50. C22×Q8×C11C23semidirect
73. C2×C11×SD16C23semidirect
76. C22×C8×C11C23semidirect
82. C11×C22⋊Q8C23semidirect
99. C2×C11×C4⋊C4C23semidirect
106. C11×#106C23semidirect
107. C11×#103C23semidirect
108. C11×#102C23semidirect
110. C11×C22⋊C8C23semidirect
111. C2×#3187C11direct (N × H)
119. C24×C11SD16semidirect
189. C22×C22⋊Q8C2×C11semidirect
191. #3187C2×C11direct (N × H)
192. C2×#481C2×C11semidirect
193. C2×#483C2×C11semidirect
194. C2×#465C2×C11semidirect
195. C2×#448C2×C11semidirect
196. C2×#450C2×C11semidirect
197. C22×C22⋊C8C2×C11semidirect
218. C23×C11C2×SD16semidirect
259. C23×Q8C22×C11semidirect
263. C22×SD16C22×C11semidirect
264. C23×C8C22×C11semidirect
269. C2×C22⋊Q8C22×C11semidirect
270. C2×C22⋊Q8C22×C11semidirect
279. C22×C4⋊C4C22×C11semidirect
282. #483C22×C11semidirect
283. #481C22×C11semidirect
284. #465C22×C11semidirect
285. #450C22×C11semidirect
286. #448C22×C11semidirect
287. C2×#106C22×C11semidirect
288. C2×#103C22×C11semidirect
289. C2×#102C22×C11semidirect
291. C2×C22⋊C8C22×C11semidirect
292. C2×C22⋊C8C22×C11semidirect
329. C22×Q8C23×C11semidirect
352. C2×SD16C23×C11semidirect
355. C22×C8C23×C11semidirect
361. C22⋊Q8C23×C11semidirect
378. C2×C4⋊C4C23×C11semidirect
385. #106C23×C11semidirect
386. #103C23×C11semidirect
387. #102C23×C11semidirect
389. C22⋊C8C23×C11semidirect
394. C2×C11#3187direct (N × H)
405. C24C11×SD16semidirect
475. C11C2×#3187direct (N × H)
496. C23C2×C11×SD16semidirect
571. C2C11×#3187direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C11×C22⋊Q82
C22×C11×#1212
C11×#31872
C2×C11×#4812
C2×C11×#4832
C2×C11×#4652
C2×C11×#4482
C2×C11×#4502
C22×C11×C22⋊C82
C2×#318711