Finite Group Databasebeta

← #14797588

Subgroups — #14797588

Order 2816.

1016 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622840C211yesmaximal, characteristic
2C2×C4×#4325C211yesmaximal, characteristic, complemented
3#13072130C211yesmaximal, characteristic
4#13070159C211yesmaximal, characteristic, complemented
5#13070053C211yesmaximal, characteristic, complemented
6#13069931C211yesmaximal, characteristic, complemented
7#13069805C211yesmaximal, characteristic
8#13069295C211yesmaximal, characteristic, complemented
9#13069224C211yesmaximal, characteristic, complemented
10#13068971C211yesmaximal, characteristic, complemented
11#13068953C211yesmaximal, characteristic, complemented
12#13068884C211yesmaximal, characteristic, complemented
13#13068621C211yesmaximal, characteristic, complemented
14#13068551C211yesmaximal, characteristic, complemented
15Q8×C11×C22⋊C4C211yesmaximal, characteristic, complemented
16C23×Q8×C11C2211yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C22×#4325C2211yescharacteristic
20C22×#4325C2211yescharacteristic
21C2×#66983C2211yescharacteristic
22C2×#66936—21no—
23C2×C4×D44C2211yescharacteristic
24C11×#391—21no—
25C11×#391—21no—
26C11×#391C2211yescharacteristic
27C11×#391C2211yescharacteristic
28C11×#380—21no—
29C11×#380C2211yescharacteristic
30C4×C11×C22⋊C4—21no—
31C4×C11×C22⋊C4C2211yescharacteristic
32#10622840—24no—
33C2×#66899C2211yescharacteristic
34C2×#66899C2211yescharacteristic
35C2×#66899C2211yescharacteristic
36C2×#66899C2211yescharacteristic
37C2×#66899C2211yescharacteristic
38C2×#66899C2211yescharacteristic
39#10622825C2211yescharacteristic
40C2×C22⋊(C11⋊C8)C2211yescharacteristic
41C2×C22⋊(C11⋊C8)C2211yescharacteristic
42C4×#4325—24no—
43C2×#66873C2211yescharacteristic
44C2×#66873C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46C2×#66872C2211yescharacteristic
47#10622574—21no—
48#10622552C2211yescharacteristic
49#10622548C2211yescharacteristic
50#10622541C2211yescharacteristic
51C2×C4⋊(C11⋊C8)C2211yescharacteristic
52C2×C4×C11⋊C8C2211yescharacteristic
53#10622287—21no—
54#10622281—21no—
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×Q8×C11—22no—
62C22×Q8×C11—22no—
63C22×Q8×C11—21no—
64C22×Q8×C11—22no—
65C22×Q8×C11—22no—
66C22×Q8×C11—41no—
67C22×Q8×C11—41no—
68C22×Q8×C11C2311yescharacteristic
69C22×Q8×C11C2311yescharacteristic
70C23×C4×C11—21no—
71C23×C4×C11C2311yescharacteristic
72C22×C22⋊D11—21no—
73C22×D44C2311yescharacteristic
74C22×C4×D11—21no—
75C4×Q8×C11—22no—
76C4×Q8×C11—22no—
77C4×Q8×C11—41no—
78C4×Q8×C11—41no—
79C2×C11×C4⋊C4—21no—
80C2×C11×C4⋊C4—21no—
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4D411yescharacteristic
85C2×C11×C22⋊C4D411yescharacteristic
86C2×C42×C11—21no—
87C2×C42×C11—21no—
88C2×C42×C11C2311yescharacteristic
89C2×C42×C11C2311yescharacteristic
90C2×C22⋊Dic11—21no—
91C2×#4325—22no—
92C2×#4325—22no—
93C2×#4325—22no—
94C2×#4325—22no—
95C2×#4325—41no—
96C2×#4325D414yes—
97#66983—22no—
98#66983—41no—
99C2×(C2×D11)⋊C4—21no—
100C2×(C2×D11)⋊C4—21no—
101C2×(C2×D11)⋊C4—21no—
102C2×(C2×D11)⋊C4—21no—
103C2×C4⋊Dic11—21no—
104C2×C4⋊Dic11—21no—
105C2×C4⋊Dic11C2311yescharacteristic
106C2×C4⋊Dic11C2311yescharacteristic
107C2×C4⋊Dic11C2311yescharacteristic
108C2×Dic11⋊C4—21no—
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C22×C11⋊C8C2311yescharacteristic
113#66936—44no—
114C4×D44—22no—
115C4×D44—41no—
116C11×#95—21no—
117C11×#95—21no—
118C11×#95—21no—
119C11×#95—21no—
120C11×#95—21no—
121C11×#95D411yescharacteristic
122C11×#95D411yescharacteristic
123#66899—22no—
124#66899—22no—
125#66899—22no—
126#66899—22no—
127#66899—22no—
128#66899—41no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C22⋊(C11⋊C8)—22no—
132C22⋊(C11⋊C8)—41no—
133#66873—22no—
134#66873—41no—
135#66872—22no—
136#66872—41no—
137C4⋊(C11⋊C8)—41no—
138C4×C11⋊C8—22no—
139#24898—111nomaximal, Sylow
140C24×C11C2×D411yescharacteristic
141C23×D11—21no—
142C2×Q8×C11—24no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11—21no—
147C2×Q8×C11—21no—
148C2×Q8×C11—21no—
149C2×Q8×C11—21no—
150C2×Q8×C11—21no—
151C2×Q8×C11—42no—
152C2×Q8×C11—42no—
153C2×Q8×C11—44no—
154C2×Q8×C11—44no—
155C2×Q8×C11—44no—
156C2×Q8×C11—44no—
157C2×Q8×C11C2×D412yes—
158C2×Q8×C11#4112yes—
159C2×Q8×C11#4112yes—
160C2×Q8×C11#4112yes—
161C22×C4×C11—21no—
162C22×C4×C11—24no—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11—21no—
169C22×C4×C11—21no—
170C22×C4×C11—21no—
171C22×C4×C11—21no—
172C22×C4×C11—42no—
173C22×C4×C11—42no—
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D411yescharacteristic
179C22×C4×C11C2411yescharacteristic
180C2×C22⋊D11—42no—
181C2×C22⋊D11—42no—
182C2×C22⋊D11—81no—
183C22×Dic11—21no—
184C22×Dic11—21no—
185C22×Dic11—21no—
186C2×D44—21no—
187C2×D44—21no—
188C2×D44—21no—
189C2×D44—21no—
190C2×D44—21no—
191C2×D44C2×D412yes—
192C2×C4×D11—42no—
193C2×C4×D11—42no—
194C2×C4×D11—81no—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—42no—
200C11×C4⋊C4—42no—
201C11×C22⋊C4—41no—
202C11×C22⋊C4—42no—
203C11×C22⋊C4SD1614yescomplemented
204C42×C11—21no—
205C42×C11—21no—
206C42×C11—21no—
207C42×C11—21no—
208C42×C11—42no—
209C42×C11—42no—
210C22⋊Dic11—42no—
211#4325—28no—
212#4325—44no—
213(C2×D11)⋊C4—42no—
214(C2×D11)⋊C4—42no—
215(C2×D11)⋊C4—42no—
216(C2×D11)⋊C4—42no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222C4⋊Dic11—21no—
223C4⋊Dic11—42no—
224C4⋊Dic11—81no—
225Dic11⋊C4—42no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8—21no—
233C2×C11⋊C8—21no—
234C2×C11⋊C8—21no—
235C2×C11⋊C8—21no—
236C2×C11⋊C8—21no—
237C2×C11⋊C8C2×D412yes—
238C2×#448—111no—
239C2×C4×SD16—111no—
240#2422—111no—
241Q8×C22⋊C4D1111yescharacteristic, complemented
242#2096—111no—
243#2077—111no—
244#2055—111no—
245#2034—111no—
246#1933—111no—
247#1923—111no—
248#1880—111no—
249#1877—111no—
250#1865—111no—
251#1803—111no—
252#1787—111no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11—21no—
258C23×C11—21no—
259C23×C11C2×SD1612yes—
260C23×C11C22×D411yescharacteristic
261C22×D11—22no—
262C22×D11—41no—
263C22×D11—41no—
264C22×D11—41no—
265C22×D11—41no—
266C22×D11—41no—
267C22×D11—41no—
268Q8×C11—22no—
269Q8×C11—22no—
270Q8×C11—22no—
271Q8×C11—22no—
272Q8×C11—22no—
273Q8×C11—48no—
274Q8×C11—41no—
275Q8×C11—41no—
276Q8×C11#12314yescomplemented
277C2×C4×C11—22no—
278C2×C4×C11—21no—
279C2×C4×C11—22no—
280C2×C4×C11—21no—
281C2×C4×C11—22no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—22no—
285C2×C4×C11—21no—
286C2×C4×C11—21no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—21no—
290C2×C4×C11—21no—
291C2×C4×C11—21no—
292C2×C4×C11—21no—
293C2×C4×C11—21no—
294C2×C4×C11—48no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—41no—
301C2×C4×C11—41no—
302C2×C4×C11—41no—
303C2×C4×C11—41no—
304C2×C4×C11—41no—
305C2×C4×C11—41no—
306C2×C4×C11—41no—
307C2×C4×C11C2×SD1612yes—
308C2×C4×C11C2×SD1612yes—
309C2×C4×C11C22×D411yescharacteristic
310C2×C4×C11C2×#4111yescharacteristic
311C2×C4×C11C2×#4111yescharacteristic
312C2×C4×C11C2×#4111yescharacteristic
313C2×C4×C11H(5,𝔽2)11yescharacteristic
314C2×C4×C11H(5,𝔽2)11yescharacteristic
315C22⋊D11—84no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321C2×Dic11—41no—
322C2×Dic11—41no—
323C2×Dic11—41no—
324C2×Dic11—41no—
325D44—22no—
326D44—22no—
327D44—41no—
328D44—41no—
329C4×D11—84no—
330C11⋊C8—22no—
331C11⋊C8—41no—
332C11⋊C8—41no—
333C11⋊C8—41no—
334C23×Q8C2×D1111yescharacteristic
335C22×SD16—111no—
336C22×SD16—111no—
337C2×#123—221no—
338C2×#121—111no—
339C2×C4×Q8C2×D1111yescharacteristic
340C2×C4×Q8C2×D1111yescharacteristic
341C2×C4×D4—111no—
342#448—224no—
343C4×SD16—224no—
344C2×#106—111no—
345C2×#106—111no—
346C2×C4⋊C8—111no—
347C2×#103—111no—
348C2×#103—111no—
349C2×#103—111no—
350C2×#103—111no—
351C2×#103—111no—
352C2×#103—111no—
353C2×#102—111no—
354C2×#102—111no—
355C2×C22⋊C8—111no—
356C2×C22⋊C8—111no—
357C2×C4×C8—111no—
358#397—221no—
359#394—221no—
360#391—21no—
361#391—21no—
362#391C2×D1111yescharacteristic
363#391C2×D1111yescharacteristic
364#390—111no—
365#389—111no—
366#385—221no—
367#384—111no—
368#380—21no—
369#380—111no—
370#380C2×D1111yescharacteristic
371C4×C22⋊C4—21no—
372C4×C22⋊C4C2×D1111yescharacteristic
373#340—111no—
374#340—111no—
375#340—111no—
376#340—111no—
377#336—111no—
378#336—111no—
379C22×C11—22no—
380C22×C11—22no—
381C22×C11—22no—
382C22×C11—41no—
383C22×C11—41no—
384C22×C11—41no—
385C22×C11—41no—
386C22×C11#52511yescharacteristic
387C22×C11D4211yescharacteristic
388C22×C11#54611yescharacteristic
389C22×C11C22×SD1611yescharacteristic
390C22×C11#57511yescharacteristic
391C22×C11#57711yescharacteristic
392C22×C11#57811yescharacteristic
393C2×D11—42no—
394C2×D11—42no—
395C2×D11—42no—
396C2×D11—81no—
397C2×D11—81no—
398C2×D11—81no—
399C2×D11—81no—
400C4×C11—24no—
401C4×C11—22no—
402C4×C11—22no—
403C4×C11—41no—
404C4×C11—42no—
405C4×C11—41no—
406C4×C11—41no—
407C4×C11—81no—
408C4×C11—81no—
409C4×C11C2×#12311yescharacteristic
410C4×C11#53811yescharacteristic
411C4×C11#54611yescharacteristic
412C4×C11#55111yescharacteristic
413Dic11—81no—
414Dic11—81no—
415Dic11—81no—
416C22×Q8—22no—
417C22×Q8—22no—
418C22×Q8—21no—
419C22×Q8—22no—
420C22×Q8—22no—
421C22×Q8—41no—
422C22×Q8—41no—
423C22×Q8C22×D1111yescharacteristic
424C22×Q8C22×D1111yescharacteristic
425C22×D4—111no—
426C22×D4—221no—
427C23×C4—21no—
428C23×C4—221no—
429C23×C4C22×D1111yescharacteristic
430C2×SD16—114no—
431C2×SD16—222no—
432C2×SD16—222no—
433C2×SD16—222no—
434C2×SD16—222no—
435C2×SD16—441no—
436C22×C8—111no—
437C22×C8—111no—
438C22×C8—111no—
439C22×C8—111no—
440#123—444no—
441#121—222no—
442#121—441no—
443C4×Q8—22no—
444C4×Q8—22no—
445C4×Q8—41no—
446C4×Q8—41no—
447C4×D4—222no—
448C4×D4—441no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—111no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—111no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4—221no—
457C2×C4⋊C4C22×D1111yescharacteristic
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—221no—
461C2×C22⋊C4—221no—
462C2×C22⋊C4—221no—
463C2×C22⋊C4—221no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4C22⋊D1111yescharacteristic
466C2×C22⋊C4C22⋊D1111yescharacteristic
467C2×C42—21no—
468C2×C42—21no—
469C2×C42C22×D1111yescharacteristic
470C2×C42C22×D1111yescharacteristic
471#106—222no—
472#106—441no—
473C4⋊C8—441no—
474#103—222no—
475#103—222no—
476#103—222no—
477#103—222no—
478#103—222no—
479#103—441no—
480#102—222no—
481#102—441no—
482C22⋊C8—222no—
483C22⋊C8—441no—
484C4×C8—222no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—221no—
491#95—221no—
492#95C22⋊D1111yescharacteristic
493#95C22⋊D1111yescharacteristic
494C2×C11—42no—
495C2×C11#241811yescharacteristic
496C2×C11#310311yescharacteristic
497C2×C11#312111yescharacteristic
498C2×C11#326911yescharacteristic
499C2×C11D4×SD1611yescharacteristic
500C2×C11#329811yescharacteristic
501C2×C11#332611yescharacteristic
502D11—82no—
503C24—221no—
504C24C2×C22⋊D1111yescharacteristic
505C2×Q8—24no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—42no—
515C2×Q8—42no—
516C2×Q8—44no—
517C2×Q8—44no—
518C2×Q8—44no—
519C2×Q8—44no—
520C2×Q8#433912yes—
521C2×Q8#433912yes—
522C2×Q8D4×D1112yes—
523C2×Q8#434112yes—
524C2×D4—112no—
525C2×D4—221no—
526C2×D4—221no—
527C2×D4—221no—
528C2×D4—221no—
529C2×D4—221no—
530C2×D4—442no—
531C2×D4—442no—
532C2×D4—881no—
533C22×C4—21no—
534C22×C4—24no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—42no—
545C22×C4—42no—
546C22×C4—221no—
547C22×C4—221no—
548C22×C4—221no—
549C22×C4—442no—
550C22×C4—442no—
551C22×C4—881no—
552C22×C4C2×C22⋊D1111yescharacteristic
553C22×C4C2×C22⋊D1111yescharacteristic
554C22×C4C2×C22⋊D1111yescharacteristic
555C22×C4C2×C22⋊D1111yescharacteristic
556C22×C4C2×C22⋊D1111yescharacteristic
557C22×C4C23×D1111yescharacteristic
558SD16—228no—
559SD16—444no—
560C2×C8—112no—
561C2×C8—221no—
562C2×C8—221no—
563C2×C8—221no—
564C2×C8—221no—
565C2×C8—221no—
566C2×C8—221no—
567C2×C8—221no—
568C2×C8—221no—
569C2×C8—221no—
570C2×C8—221no—
571C2×C8—221no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—221no—
579C4⋊C4—221no—
580C4⋊C4—221no—
581C4⋊C4—221no—
582C4⋊C4—221no—
583C4⋊C4—221no—
584C4⋊C4—442no—
585C4⋊C4—442no—
586C4⋊C4—881no—
587C22⋊C4—41no—
588C22⋊C4—42no—
589C22⋊C4—442no—
590C22⋊C4—442no—
591C22⋊C4—442no—
592C22⋊C4—442no—
593C22⋊C4—442no—
594C22⋊C4#432514yescomplemented
595C42—21no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—42no—
600C42—42no—
601C11#2489811yescharacteristic, complemented, Sylow
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—222no—
609C23—441no—
610C23—441no—
611C23—441no—
612C23—441no—
613C23—441no—
614C23—441no—
615C23C2×#432512yes—
616C23C22×C22⋊D1111yescharacteristic
617Q8—22no—
618Q8—22no—
619Q8—22no—
620Q8—22no—
621Q8—22no—
622Q8—48no—
623Q8—41no—
624Q8—41no—
625Q8#6693614yescomplemented
626D4—222no—
627D4—222no—
628D4—441no—
629D4—441no—
630D4—884no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—48no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—441no—
664C2×C4—441no—
665C2×C4—441no—
666C2×C4—441no—
667C2×C4—441no—
668C2×C4—441no—
669C2×C4—441no—
670C2×C4—884no—
671C2×C4C2×#432512yes—
672C2×C4C2×#432512yes—
673C2×C4C2×#433911yescharacteristic
674C2×C4C2×#433911yescharacteristic
675C2×C4C2×D4×D1111yescharacteristic
676C2×C4C2×#434111yescharacteristic
677C2×C4#6703711yescharacteristic
678C2×C4#6703711yescharacteristic
679C8—222no—
680C8—441no—
681C8—441no—
682C8—441no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—442no—
691C22—442no—
692C22—442no—
693C22—881no—
694C22—881no—
695C22—881no—
696C22—881no—
697C22#1062332211yescharacteristic
698C22D4×C22⋊D1111yescharacteristic
699C22#1062333711yescharacteristic
700C22C22×#432511yescharacteristic
701C22#1062335311yescharacteristic
702C22#1062336811yescharacteristic
703C22#1062336911yescharacteristic
704C4—22no—
705C4—24no—
706C4—22no—
707C4—41no—
708C4—41no—
709C4—41no—
710C4—42no—
711C4—81no—
712C4—81no—
713C4—881no—
714C4—881no—
715C4—881no—
716C4C2×#6693611yescharacteristic
717C4#1062302111yescharacteristic
718C4#1062302511yescharacteristic
719C4#1062302611yescharacteristic
720C2—42no—
721C2—882no—
722C2#1307207811yescharacteristic
723C2#1307864711yescharacteristic
724C2#1307884511yescharacteristic
725C2#1308017211yescharacteristic
726C2D4×#432511yescharacteristic
727C2#1308048111yescharacteristic
728C2#1308086911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingQ8×C11×C22⋊C4C2
socleC23×C11C22×D4
prime radicalC2×#66983C22
hypercenterQ8×C22⋊C4D11
hypocenterC11#24898
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×#4325C2semidirect
4. #13070159C2semidirect
5. #13070053C2semidirect
6. #13069931C2semidirect
8. #13069295C2semidirect
9. #13069224C2semidirect
10. #13068971C2semidirect
11. #13068953C2semidirect
12. #13068884C2semidirect
13. #13068621C2semidirect
14. #13068551C2semidirect
15. Q8×C11×C22⋊C4C2semidirect
203. C11×C22⋊C4SD16semidirect
241. Q8×C22⋊C4D11semidirect
276. Q8×C11#123semidirect
594. C22⋊C4#4325semidirect
601. C11#24898semidirect
625. Q8#66936semidirect

Maximal subgroups

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

subgroupindex
C2×#106228402
C2×C4×#43252
#130721302
#130701592
#130700532
#130699312
#130698052
#130692952
#130692242
#130689712
#130689532
#130688842
#130686212
#130685512
Q8×C11×C22⋊C42
#2489811