Finite Group Databasebeta

← #14797585

Subgroups — #14797585

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×#10622653C211yesmaximal, characteristic
2C2×C4×#4324C211yesmaximal, characteristic, complemented
3C22⋊C4×Dic22C211yesmaximal, characteristic, complemented
4#13070160C211yesmaximal, characteristic, complemented
5#13070052C211yesmaximal, characteristic, complemented
6#13069933C211yesmaximal, characteristic, complemented
7#13069802C211yesmaximal, characteristic
8#13069291C211yesmaximal, characteristic, complemented
9#13069224C211yesmaximal, characteristic, complemented
10#13068974C211yesmaximal, characteristic, complemented
11#13068950C211yesmaximal, characteristic, complemented
12#13068883C211yesmaximal, characteristic, complemented
13#13068618C211yesmaximal, characteristic, complemented
14#13068550C211yesmaximal, characteristic, complemented
15C11×#2422C211yesmaximal, characteristic
16C23×Dic22C2211yescharacteristic
17C2×C11×#123—21no—
18C2×C11×#121C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C22×#4324C2211yescharacteristic
21C22×#4324C2211yescharacteristic
22C2×C4×Dic22C2211yescharacteristic
23C2×C4×Dic22C2211yescharacteristic
24C11×#397—21no—
25C11×#394—21no—
26C11×#390C2211yescharacteristic
27C11×#389C2211yescharacteristic
28C11×#385—21no—
29C11×#384C2211yescharacteristic
30C11×#380C2211yescharacteristic
31C4×C11×C22⋊C4C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34#10622825C2211yescharacteristic
35C2×C22⋊(C11⋊C8)C2211yescharacteristic
36C2×C22⋊(C11⋊C8)C2211yescharacteristic
37#10622653—24no—
38C4×#4324—24no—
39C2×#66874C2211yescharacteristic
40C2×#66874C2211yescharacteristic
41C2×#66874C2211yescharacteristic
42C2×#66874C2211yescharacteristic
43C2×#66874C2211yescharacteristic
44C2×#66874C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46C2×#66872C2211yescharacteristic
47#10622555—21no—
48C22⋊C4×Dic11—21no—
49#10622542C2211yescharacteristic
50#10622542C2211yescharacteristic
51C2×C4⋊(C11⋊C8)C2211yescharacteristic
52C2×C4×C11⋊C8C2211yescharacteristic
53#10622259—21no—
54#10622259—21no—
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622162C2211yescharacteristic
60#10622162C2211yescharacteristic
61C22×D4×C11—21no—
62C22×D4×C11C2311yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11C2311yescharacteristic
65C23×Dic11—21no—
66C22×Dic22—21no—
67C22×Dic22—22no—
68C22×Dic22—22no—
69C22×Dic22—22no—
70C22×Dic22—22no—
71C22×Dic22—41no—
72C22×Dic22—41no—
73C22×Dic22C2311yescharacteristic
74C22×Dic22C2311yescharacteristic
75C11×#123—44no—
76C11×#121—22no—
77C11×#121—41no—
78C4×D4×C11—22no—
79C4×D4×C11—41no—
80C2×C11×C4⋊C4—21no—
81C2×C11×C4⋊C4—21no—
82C2×C11×C4⋊C4—21no—
83C2×C11×C4⋊C4C2311yescharacteristic
84C2×C11×C4⋊C4C2311yescharacteristic
85C2×C11×C4⋊C4C2311yescharacteristic
86C2×C11×C22⋊C4—21no—
87C2×C11×C22⋊C4—21no—
88C2×C11×C22⋊C4—21no—
89C2×C11×C22⋊C4—21no—
90C2×C11×C22⋊C4—21no—
91C2×C11×C22⋊C4D411yescharacteristic
92C2×C11×C22⋊C4D411yescharacteristic
93C2×C42×C11C2311yescharacteristic
94C2×C42×C11C2311yescharacteristic
95C2×C22⋊Dic11—21no—
96C2×#4324—22no—
97C2×#4324—22no—
98C2×#4324—22no—
99C2×#4324—22no—
100C2×#4324—41no—
101C2×#4324D414yes—
102C2×C4⋊Dic11C2311yescharacteristic
103C2×C4⋊Dic11C2311yescharacteristic
104C2×Dic11⋊C4—21no—
105C2×Dic11⋊C4—21no—
106C2×C4×Dic11—21no—
107C2×C4×Dic11—21no—
108C22×C11⋊C8C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112C4×Dic22—22no—
113C4×Dic22—22no—
114C4×Dic22—41no—
115C4×Dic22—41no—
116C11×#95—21no—
117C11×#95—21no—
118C11×#95D411yescharacteristic
119C11×#95D411yescharacteristic
120#66896—22no—
121#66896—41no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127C22⋊(C11⋊C8)—22no—
128C22⋊(C11⋊C8)—41no—
129#66874—22no—
130#66874—22no—
131#66874—22no—
132#66874—22no—
133#66874—22no—
134#66874—41no—
135#66872—22no—
136#66872—41no—
137C4⋊(C11⋊C8)—41no—
138C4×C11⋊C8—22no—
139#24898—111nomaximal, Sylow
140C24×C11—21no—
141C24×C11C2×D411yescharacteristic
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—42no—
148C2×D4×C11—42no—
149C2×D4×C11—81no—
150C2×D4×C11C2×D412yes—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—42no—
161C22×C4×C11—42no—
162C22×C4×C11—81no—
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2×D411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2411yescharacteristic
169C22×Dic11—24no—
170C22×Dic11—21no—
171C22×Dic11—21no—
172C22×Dic11—21no—
173C22×Dic11—21no—
174C22×Dic11—42no—
175C22×Dic11—42no—
176C2×Dic22—24no—
177C2×Dic22—21no—
178C2×Dic22—21no—
179C2×Dic22—21no—
180C2×Dic22—21no—
181C2×Dic22—21no—
182C2×Dic22—21no—
183C2×Dic22—21no—
184C2×Dic22—21no—
185C2×Dic22—42no—
186C2×Dic22—42no—
187C2×Dic22—44no—
188C2×Dic22—44no—
189C2×Dic22—44no—
190C2×Dic22—44no—
191C2×Dic22C2×D412yes—
192C2×Dic22#4112yes—
193C2×Dic22#4112yes—
194C2×Dic22#4112yes—
195C11×C4⋊C4—21no—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4—42no—
202C11×C4⋊C4—42no—
203C11×C4⋊C4—81no—
204C11×C22⋊C4—41no—
205C11×C22⋊C4—42no—
206C11×C22⋊C4—42no—
207C11×C22⋊C4—42no—
208C11×C22⋊C4—42no—
209C11×C22⋊C4—42no—
210C11×C22⋊C4SD1614yescomplemented
211C42×C11—21no—
212C42×C11—21no—
213C42×C11—21no—
214C42×C11—21no—
215C22⋊Dic11—42no—
216#4324—28no—
217#4324—44no—
218C4⋊Dic11—21no—
219C4⋊Dic11—21no—
220C4⋊Dic11—21no—
221C4⋊Dic11—21no—
222Dic11⋊C4—42no—
223Dic11⋊C4—42no—
224C4×Dic11—42no—
225C4×Dic11—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#2422D1111yescharacteristic
241Q8×C22⋊C4—111no—
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×C11—22no—
260C23×C11—41no—
261C23×C11—41no—
262C23×C11—41no—
263C23×C11—41no—
264C23×C11—41no—
265C23×C11—41no—
266C23×C11C2×SD1612yes—
267C23×C11C22×D411yescharacteristic
268D4×C11—22no—
269D4×C11—22no—
270D4×C11—41no—
271D4×C11—41no—
272D4×C11—84no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—21no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—84no—
300C2×C4×C11C2×SD1612yes—
301C2×C4×C11C2×SD1612yes—
302C2×C4×C11C22×D411yescharacteristic
303C2×C4×C11C2×#4111yescharacteristic
304C2×C4×C11C2×#4111yescharacteristic
305C2×C4×C11C2×#4111yescharacteristic
306C2×C4×C11H(5,𝔽2)11yescharacteristic
307C2×C4×C11H(5,𝔽2)11yescharacteristic
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—48no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C2×Dic11—41no—
319C2×Dic11—41no—
320C2×Dic11—41no—
321Dic22—22no—
322Dic22—22no—
323Dic22—22no—
324Dic22—22no—
325Dic22—22no—
326Dic22—48no—
327Dic22—41no—
328Dic22—41no—
329Dic22#12314yescomplemented
330C11⋊C8—22no—
331C11⋊C8—41no—
332C11⋊C8—41no—
333C11⋊C8—41no—
334C23×Q8—111no—
335C22×SD16—111no—
336C22×SD16—111no—
337C2×#123—21no—
338C2×#121C2×D1111yescharacteristic
339C2×C4×Q8—111no—
340C2×C4×Q8—111no—
341C2×C4×D4C2×D1111yescharacteristic
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—21no—
359#394—21no—
360#391—111no—
361#391—111no—
362#391—221no—
363#391—221no—
364#390C2×D1111yescharacteristic
365#389C2×D1111yescharacteristic
366#385—21no—
367#384C2×D1111yescharacteristic
368#380—111no—
369#380—221no—
370#380C2×D1111yescharacteristic
371C4×C22⋊C4—221no—
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—42no—
387C22×C11—42no—
388C22×C11—42no—
389C22×C11—81no—
390C22×C11—81no—
391C22×C11—81no—
392C22×C11—81no—
393C22×C11#52511yescharacteristic
394C22×C11D4211yescharacteristic
395C22×C11#54611yescharacteristic
396C22×C11C22×SD1611yescharacteristic
397C22×C11#57511yescharacteristic
398C22×C11#57711yescharacteristic
399C22×C11#57811yescharacteristic
400C4×C11—22no—
401C4×C11—22no—
402C4×C11—41no—
403C4×C11—41no—
404C4×C11—41no—
405C4×C11—81no—
406C4×C11—81no—
407C4×C11—81no—
408C4×C11C2×#12311yescharacteristic
409C4×C11#53811yescharacteristic
410C4×C11#54611yescharacteristic
411C4×C11#55111yescharacteristic
412Dic11—24no—
413Dic11—42no—
414Dic11—81no—
415Dic11—81no—
416C22×Q8—111no—
417C22×Q8—111no—
418C22×Q8—222no—
419C22×Q8—222no—
420C22×Q8—222no—
421C22×Q8—222no—
422C22×Q8—221no—
423C22×Q8—441no—
424C22×Q8—441no—
425C22×D4—21no—
426C22×D4C22×D1111yescharacteristic
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—44no—
441#121—22no—
442#121—41no—
443C4×Q8—222no—
444C4×Q8—222no—
445C4×Q8—441no—
446C4×Q8—441no—
447C4×D4—22no—
448C4×D4—41no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—111no—
454C2×C4⋊C4—221no—
455C2×C4⋊C4—221no—
456C2×C4⋊C4C22×D1111yescharacteristic
457C2×C4⋊C4C22×D1111yescharacteristic
458C2×C4⋊C4C22×D1111yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—221no—
465C2×C22⋊C4C22⋊D1111yescharacteristic
466C2×C22⋊C4C22⋊D1111yescharacteristic
467C2×C42—221no—
468C2×C42—221no—
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—221no—
488#95—221no—
489#95—221no—
490#95—221no—
491#95—221no—
492#95C22⋊D1111yescharacteristic
493#95C22⋊D1111yescharacteristic
494C2×C11—42no—
495C2×C11—82no—
496C2×C11#241811yescharacteristic
497C2×C11#310311yescharacteristic
498C2×C11#312111yescharacteristic
499C2×C11#326911yescharacteristic
500C2×C11D4×SD1611yescharacteristic
501C2×C11#329811yescharacteristic
502C2×C11#332611yescharacteristic
503C24—21no—
504C24C2×C22⋊D1111yescharacteristic
505C2×Q8—112no—
506C2×Q8—112no—
507C2×Q8—112no—
508C2×Q8—112no—
509C2×Q8—224no—
510C2×Q8—221no—
511C2×Q8—221no—
512C2×Q8—221no—
513C2×Q8—221no—
514C2×Q8—221no—
515C2×Q8—221no—
516C2×Q8—221no—
517C2×Q8—221no—
518C2×Q8—442no—
519C2×Q8—442no—
520C2×Q8—444no—
521C2×Q8—444no—
522C2×Q8—444no—
523C2×Q8—444no—
524C2×D4—21no—
525C2×D4—21no—
526C2×D4—21no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—42no—
530C2×D4—42no—
531C2×D4—81no—
532C2×D4D4×D1112yes—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—42no—
543C22×C4—42no—
544C22×C4—81no—
545C22×C4—221no—
546C22×C4—224no—
547C22×C4—221no—
548C22×C4—221no—
549C22×C4—221no—
550C22×C4—442no—
551C22×C4—442no—
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—21no—
577C4⋊C4—21no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—81no—
581C4⋊C4—221no—
582C4⋊C4—221no—
583C4⋊C4—221no—
584C4⋊C4—221no—
585C4⋊C4—442no—
586C4⋊C4—442no—
587C22⋊C4—41no—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C22⋊C4—42no—
591C22⋊C4—42no—
592C22⋊C4—42no—
593C22⋊C4—442no—
594C22⋊C4#432414yescomplemented
595C42—21no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—442no—
600C42—442no—
601C11#2489811yescharacteristic, complemented, Sylow
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—22no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23C2×#432412yes—
616C23C22×C22⋊D1111yescharacteristic
617Q8—114no—
618Q8—222no—
619Q8—222no—
620Q8—222no—
621Q8—222no—
622Q8—222no—
623Q8—448no—
624Q8—441no—
625Q8—441no—
626D4—22no—
627D4—22no—
628D4—41no—
629D4—41no—
630D4—84no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
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—84no—
658C2×C4—222no—
659C2×C4—222no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—448no—
663C2×C4—441no—
664C2×C4—441no—
665C2×C4—441no—
666C2×C4—441no—
667C2×C4—441no—
668C2×C4—441no—
669C2×C4—441no—
670C2×C4—441no—
671C2×C4C2×#432412yes—
672C2×C4C2×#432412yes—
673C2×C4C2×D4×D1111yescharacteristic
674C2×C4#6703711yescharacteristic
675C2×C4#41×D1111yescharacteristic
676C2×C4#41×D1111yescharacteristic
677C2×C4#41×D1111yescharacteristic
678C2×C4#6704211yescharacteristic
679C8—222no—
680C8—441no—
681C8—441no—
682C8—441no—
683C22—22no—
684C22—22no—
685C22—22no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—81no—
694C22—81no—
695C22—81no—
696C22—81no—
697C22C22×#432411yescharacteristic
698C22D4×C22⋊D1111yescharacteristic
699C22#1062335311yescharacteristic
700C22#1062335911yescharacteristic
701C22#1062336011yescharacteristic
702C22#1062336711yescharacteristic
703C22#1062336911yescharacteristic
704C4—22no—
705C4—22no—
706C4—41no—
707C4—41no—
708C4—41no—
709C4—81no—
710C4—81no—
711C4—81no—
712C4—224no—
713C4—442no—
714C4—881no—
715C4—881no—
716C4D11×#12311yescharacteristic
717C4#1062318511yescharacteristic
718C4#1062318811yescharacteristic
719C4#1062319011yescharacteristic
720C2—42no—
721C2—82no—
722C2#1307207511yescharacteristic
723C2#1307864311yescharacteristic
724C2#1307883911yescharacteristic
725C2#1308016711yescharacteristic
726C2D4×#432411yescharacteristic
727C2#1308047511yescharacteristic
728C2#1308086311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2422C2
socleC23×C11C22×D4
prime radicalC2×C11×#121C22
hypercenter#2422D11
hypocenterC11#24898
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2422

Complements

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

NH ≅ G/Ntype
2. C2×C4×#4324C2semidirect
3. C22⋊C4×Dic22C2semidirect
4. #13070160C2semidirect
5. #13070052C2semidirect
6. #13069933C2semidirect
8. #13069291C2semidirect
9. #13069224C2semidirect
10. #13068974C2semidirect
11. #13068950C2semidirect
12. #13068883C2semidirect
13. #13068618C2semidirect
14. #13068550C2semidirect
210. C11×C22⋊C4SD16semidirect
329. Dic22#123semidirect
594. C22⋊C4#4324semidirect
601. C11#24898semidirect

Maximal subgroups

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

subgroupindex
C2×#106226532
C2×C4×#43242
C22⋊C4×Dic222
#130701602
#130700522
#130699332
#130698022
#130692912
#130692242
#130689742
#130689502
#130688832
#130686182
#130685502
C11×#24222
#2489811