Finite Group Databasebeta

← C2×#13078007 #15620494

Subgroups — C2×#13078007 #15620494

Order 2816.

5086 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623453C211yesmaximal, characteristic, complemented
2C2×#10623322C212yesmaximal, complemented
3#13078007C2116yesmaximal, direct product factor
4C2×#10622666C214yesmaximal, complemented
5C2×#10622645C214yesmaximal, complemented
6C2×#10622853C211yesmaximal, characteristic, complemented
7C2×#10622619C212yesmaximal, complemented
8C2×C11×#525C211yesmaximal, characteristic, complemented
9C22×C11×#41C2211yescharacteristic
10C24×C4×C11C2211yescharacteristic, complemented
11#10623453—24no—
12#10623453—28no—
13#10623453C2218yescomplemented
14C2×#67043—22no—
15C2×#67042—22no—
16C2×#41×D11—24no—
17C2×#67040—21no—
18C2×#67037—21no—
19C2×#67037C2214yes—
20C22×#4339—22no—
21C22×#4339C2212yes—
22C11×#525—24no—
23C11×#525C2218yescomplemented
24C2×C11×#123C2212yescomplemented
25C2×C11×C22⋊Q8—21no—
26C2×C11×#121—21no—
27C2×C11×#120C2212yescomplemented
28C2×C4×D4×C11—22no—
29C2×C11×#117C2211yescharacteristic, complemented
30C2×#67006C2214yescomplemented
31#10623322—28no—
32#10623322C22116yescomplemented
33C2×#66983—22no—
34C2×#66982C2214yescomplemented
35C2×C4×C22⋊D11—24no—
36C2×#66979C2212yescomplemented
37C2×#66977—22no—
38#10622853C2218yescomplemented
39C2×#66898C2214yescomplemented
40#10622666C22132yescomplemented
41#10622645C22132yescomplemented
42#10622619C22116yescomplemented
43C2×#66870C2218yescomplemented
44C25×C11C2311yescharacteristic
45C2×C11×#41—22no—
46C2×C11×#41—22no—
47C2×C11×#41—24no—
48C2×C11×#41D414yescomplemented
49C2×C11×#41C2314yes—
50C22×Q8×C11D411yescharacteristic, complemented
51C22×D4×C11—22no—
52C22×D4×C11D411yescharacteristic, complemented
53C22×D4×C11C2312yes—
54C23×C4×C11—22no—
55C23×C4×C11—22no—
56C23×C4×C11—24no—
57C23×C4×C11—21no—
58C23×C4×C11—21no—
59C23×C4×C11—22no—
60C23×C4×C11D412yescomplemented
61C23×C4×C11C2311yescharacteristic
62C23×C4×C11C2311yescharacteristic
63C23×C4×C11C2314yescomplemented
64C22×C22⋊D11—24no—
65C22×C22⋊D11—24no—
66C22×C22⋊D11C2314yes—
67#67043—216no—
68#67043—216no—
69#67042—216no—
70#67042—216no—
71#41×D11—232no—
72#41×D11—232no—
73#67040—28no—
74#67040—28no—
75C2×#4343—24no—
76C2×Q8×D11—24no—
77#67037—28no—
78#67037—28no—
79#67037—28no—
80#67037—216no—
81#67037C23116yes—
82C2×#4341—24no—
83C2×#4341—28no—
84C2×D4×D11—24no—
85C2×D4×D11—28no—
86C2×#4339—24no—
87C2×#4339—24no—
88C2×#4339—216no—
89C2×#4339—22no—
90C2×#4339—24no—
91C2×#4339—22no—
92C2×#4339—22no—
93C2×#4339—22no—
94C2×#4339—24no—
95C2×#4339—24no—
96C2×#4339—216no—
97C2×#4339D418yescomplemented
98C2×#4339C2318yes—
99C22×D44—22no—
100C22×D44D412yescomplemented
101C22×C4×D11—24no—
102C22×C4×D11D414yescomplemented
103C22×Dic22—22no—
104C22×Dic22D412yescomplemented
105C11×#123—24no—
106C11×#123C2318yescomplemented
107C11×C22⋊Q8—28no—
108C11×#121—28no—
109C11×#120—24no—
110C11×#120C2318yescomplemented
111C4×D4×C11—216no—
112C11×#117—22no—
113C11×#117C2314yescomplemented
114C2×C11×C4⋊C4—21no—
115C2×C11×C4⋊C4—22no—
116C2×C11×C22⋊C4—22no—
117C2×C11×C22⋊C4—22no—
118C2×C11×C22⋊C4C2312yes—
119C2×C42×C11—21no—
120#67006—28no—
121#67006C23116yescomplemented
122C2×C22⋊Dic11—24no—
123C2×C22⋊Dic11C2314yes—
124#66983—216no—
125#66982—28no—
126#66982C23116yescomplemented
127C4×C22⋊D11—232no—
128C2×(C2×D11)⋊C4—24no—
129#66979—24no—
130#66979C2318yescomplemented
131C2×C4⋊Dic11—22no—
132#66977—216no—
133C2×Dic11⋊C4—24no—
134C2×C4×Dic11—22no—
135#66898C23116yescomplemented
136#66870C23132yescomplemented
137C2×#3025—111nomaximal, Sylow
138C24×C11—22no—
139C24×C11—21no—
140C24×C11—22no—
141C24×C11—21no—
142C24×C11—44no—
143C24×C11C2×D412yes—
144C24×C11C2412yes—
145C24×C11C2411yescharacteristic
146C23×D11—24no—
147C23×D11C2×D414yes—
148C11×#41—28no—
149C11×#41—28no—
150C11×#41—28no—
151C11×#41—28no—
152C2×Q8×C11—22no—
153C2×Q8×C11—22no—
154C2×Q8×C11C2×D414yescomplemented
155C2×D4×C11—24no—
156C2×D4×C11—24no—
157C2×D4×C11—28no—
158C2×D4×C11—22no—
159C2×D4×C11—22no—
160C2×D4×C11—48no—
161C2×D4×C11C2×D414yes—
162C2×D4×C11C2×D414yescomplemented
163C2×D4×C11C2414yes—
164C22×C4×C11—22no—
165C22×C4×C11—22no—
166C22×C4×C11—24no—
167C22×C4×C11—22no—
168C22×C4×C11—22no—
169C22×C4×C11—22no—
170C22×C4×C11—21no—
171C22×C4×C11—21no—
172C22×C4×C11—28no—
173C22×C4×C11—28no—
174C22×C4×C11—24no—
175C22×C4×C11—24no—
176C22×C4×C11—41no—
177C22×C4×C11—42no—
178C22×C4×C11—44no—
179C22×C4×C11—44no—
180C22×C4×C11—42no—
181C22×C4×C11—42no—
182C22×C4×C11—41no—
183C22×C4×C11C2×D412yes—
184C22×C4×C11C2×D412yes—
185C22×C4×C11C2×D412yes—
186C22×C4×C11C2×D414yes—
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2×D411yescharacteristic
189C22×C4×C11C2×D412yes—
190C22×C4×C11C2×D418yescomplemented
191C22×C4×C11C2412yes—
192C22×C4×C11C2412yes—
193C2×C22⋊D11—28no—
194C2×C22⋊D11—216no—
195C2×C22⋊D11—24no—
196C2×C22⋊D11—24no—
197C2×C22⋊D11—24no—
198C2×C22⋊D11—24no—
199C2×C22⋊D11—216no—
200C2×C22⋊D11—216no—
201C2×C22⋊D11—416no—
202C2×C22⋊D11C2×D418yes—
203C2×C22⋊D11C2418yes—
204C22×Dic11—24no—
205C22×Dic11—24no—
206C22×Dic11C2×D414yes—
207#4343—232no—
208Q8×D11—232no—
209#4341—232no—
210#4341—232no—
211#4341—232no—
212D4×D11—232no—
213D4×D11—232no—
214D4×D11—232no—
215#4339—216no—
216#4339—232no—
217#4339—232no—
218#4339—28no—
219#4339—28no—
220#4339—28no—
221#4339—28no—
222#4339—28no—
223#4339—216no—
224#4339—28no—
225#4339—28no—
226#4339—28no—
227C2×D44—24no—
228C2×D44—216no—
229C2×D44—22no—
230C2×D44—22no—
231C2×D44—24no—
232C2×D44C2×D418yescomplemented
233C2×C4×D11—28no—
234C2×C4×D11—232no—
235C2×C4×D11—24no—
236C2×C4×D11—24no—
237C2×C4×D11—28no—
238C2×C4×D11C2×D4116yescomplemented
239C2×Dic22—24no—
240C2×Dic22—216no—
241C2×Dic22—22no—
242C2×Dic22—22no—
243C2×Dic22—24no—
244C2×Dic22C2×D418yescomplemented
245C11×C4⋊C4—24no—
246C11×C4⋊C4—28no—
247C11×C22⋊C4—28no—
248C11×C22⋊C4—22no—
249C11×C22⋊C4—28no—
250C11×C22⋊C4C2414yes—
251C42×C11—24no—
252C22⋊Dic11—216no—
253C22⋊Dic11—24no—
254C22⋊Dic11C2418yes—
255(C2×D11)⋊C4—216no—
256C4⋊Dic11—28no—
257Dic11⋊C4—216no—
258C4×Dic11—28no—
259C2×#585—111no—
260C2×#525—112no—
261C2×#525D1111yescharacteristic, complemented
262#3025—1116no—
263C2×#458—114no—
264C2×B(4,𝔽2)—114no—
265C2×#410—111no—
266C2×#410—112no—
267C23×C11—28no—
268C23×C11—24no—
269C23×C11—22no—
270C23×C11—24no—
271C23×C11—22no—
272C23×C11—22no—
273C23×C11—42no—
274C23×C11—44no—
275C23×C11—42no—
276C23×C11—44no—
277C23×C11—44no—
278C23×C11—48no—
279C23×C11—44no—
280C23×C11—41no—
281C23×C11—42no—
282C23×C11—41no—
283C23×C11C22×D412yes—
284C23×C11C22×D412yes—
285C23×C11C22×D411yescharacteristic
286C23×C11C22×D414yes—
287C23×C11C22×D411yescharacteristic
288C23×C11C2511yescharacteristic
289C22×D11—24no—
290C22×D11—216no—
291C22×D11—24no—
292C22×D11—48no—
293C22×D11—88no—
294C22×D11C22×D418yes—
295Q8×C11—28no—
296D4×C11—28no—
297D4×C11—28no—
298D4×C11—28no—
299D4×C11—416no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—28no—
303C2×C4×C11—28no—
304C2×C4×C11—24no—
305C2×C4×C11—24no—
306C2×C4×C11—22no—
307C2×C4×C11—44no—
308C2×C4×C11—41no—
309C2×C4×C11—42no—
310C2×C4×C11—41no—
311C2×C4×C11—44no—
312C2×C4×C11—44no—
313C2×C4×C11—48no—
314C2×C4×C11#12011yescharacteristic
315C2×C4×C11#12012yes—
316C2×C4×C11#12014yes—
317C2×C4×C11#12014yes—
318C2×C4×C11#12012yes—
319C2×C4×C11#12012yes—
320C2×C4×C11#12011yescharacteristic
321C2×C4×C11C22×D414yes—
322C2×C4×C11C22×D414yes—
323C2×C4×C11C22×D414yes—
324C2×C4×C11C22×D412yes—
325C2×C4×C11C22×D412yes—
326C22⋊D11—232no—
327C22⋊D11—28no—
328C22⋊D11—28no—
329C22⋊D11—28no—
330C22⋊D11—28no—
331C22⋊D11—432no—
332C2×Dic11—216no—
333C2×Dic11—24no—
334C2×Dic11—24no—
335C2×Dic11—28no—
336C2×Dic11—48no—
337C2×Dic11C22×D418yes—
338D44—216no—
339D44—28no—
340D44—28no—
341C4×D11—232no—
342C4×D11—216no—
343C4×D11—216no—
344Dic22—216no—
345Dic22—28no—
346Dic22—28no—
347#585—118no—
348#585—228no—
349#585—224no—
350C2×2−1+4—222no—
351C2×2−1+4—221no—
352C2×H(5,𝔽2)—114no—
353C2×H(5,𝔽2)—222no—
354C2×H(5,𝔽2)—221no—
355C22×#41—112no—
356C22×#41—224no—
357C22×#41—222no—
358C22×#41C2×D1111yescharacteristic
359C24×C4C2×D1111yescharacteristic, complemented
360#525—24no—
361#525—1116no—
362#525—228no—
363#525C2×D1118yescomplemented
364C2×#123—114no—
365C2×#123C2×D1112yescomplemented
366C2×C22⋊Q8—21no—
367C2×C22⋊Q8—222no—
368C2×#121—21no—
369C2×#121—222no—
370C2×#120—114no—
371C2×#120C2×D1112yescomplemented
372C2×C4×D4—22no—
373C2×C4×D4—224no—
374C2×#117—112no—
375C2×#117C2×D1111yescharacteristic, complemented
376#458—1132no—
377B(4,𝔽2)—1132no—
378#410—118no—
379#410—1116no—
380C2×#99—114no—
381C2×#99—118no—
382C22×C11—22no—
383C22×C11—24no—
384C22×C11—24no—
385C22×C11—28no—
386C22×C11—24no—
387C22×C11—42no—
388C22×C11—41no—
389C22×C11—41no—
390C22×C11—44no—
391C22×C11—44no—
392C22×C11—42no—
393C22×C11—48no—
394C22×C11—44no—
395C22×C11—42no—
396C22×C11—44no—
397C22×C11—44no—
398C22×C11—82no—
399C22×C11C2×#12011yescharacteristic
400C22×C11C2×#12012yes—
401C22×C11C2×#12011yescharacteristic
402C22×C11C23×D412yes—
403C22×C11C23×D411yescharacteristic
404C2×D11—28no—
405C2×D11—48no—
406C2×D11—48no—
407C2×D11—84no—
408C2×D11—816no—
409C4×C11—24no—
410C4×C11—44no—
411C4×C11—42no—
412C4×C11C2×#12012yes—
413C4×C11C2×#12012yes—
414C4×C11C2×#12014yes—
415Dic11—28no—
416Dic11—48no—
417C25C22×D1111yescharacteristic
4182−1+4—228no—
4192−1+4—2216no—
4202−1+4—2216no—
4212−1+4—228no—
422H(5,𝔽2)—1116no—
423H(5,𝔽2)—2216no—
424H(5,𝔽2)—228no—
425H(5,𝔽2)—2216no—
426H(5,𝔽2)—2216no—
427H(5,𝔽2)—228no—
428H(5,𝔽2)—228no—
429C2×#41—22no—
430C2×#41—22no—
431C2×#41—24no—
432C2×#41—118no—
433C2×#41—118no—
434C2×#41—224no—
435C2×#41—224no—
436C2×#41—2216no—
437C2×#41—228no—
438C2×#41—2232no—
439C2×#41—224no—
440C2×#41—224no—
441C2×#41—2232no—
442C2×#41—222no—
443C2×#41—222no—
444C2×#41—224no—
445C2×#41—222no—
446C2×#41—222no—
447C2×#41—224no—
448C2×#41—224no—
449C2×#41—2216no—
450C2×#41C22⋊D1114yescomplemented
451C2×#41C22×D1114yes—
452C22×Q8—112no—
453C22×Q8—222no—
454C22×Q8—224no—
455C22×Q8C22⋊D1111yescharacteristic, complemented
456C22×D4—22no—
457C22×D4—114no—
458C22×D4—112no—
459C22×D4—222no—
460C22×D4—228no—
461C22×D4—224no—
462C22×D4—224no—
463C22×D4—224no—
464C22×D4C22⋊D1111yescharacteristic, complemented
465C22×D4C22×D1112yes—
466C23×C4—22no—
467C23×C4—22no—
468C23×C4—24no—
469C23×C4—21no—
470C23×C4—21no—
471C23×C4—22no—
472C23×C4—114no—
473C23×C4—224no—
474C23×C4C22⋊D1112yescomplemented
475C23×C4C22×D1111yescharacteristic
476C23×C4C22×D1111yescharacteristic
477C23×C4C22×D1114yescomplemented
478#123—24no—
479#123—1116no—
480#123—228no—
481#123C22×D1118yescomplemented
482C22⋊Q8—28no—
483C22⋊Q8—2216no—
484#121—28no—
485#121—2216no—
486#120—24no—
487#120—1116no—
488#120—228no—
489#120C22×D1118yescomplemented
490C4×D4—216no—
491C4×D4—2232no—
492#117—22no—
493#117—118no—
494#117—224no—
495#117C22×D1114yescomplemented
496C2×C4⋊C4—21no—
497C2×C4⋊C4—22no—
498C2×C4⋊C4—224no—
499C2×C4⋊C4—222no—
500C2×C22⋊C4—22no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4—114no—
503C2×C22⋊C4—224no—
504C2×C22⋊C4—224no—
505C2×C22⋊C4C22×D1112yes—
506C2×C42—21no—
507C2×C42—222no—
508#99—1116no—
509#99—1132no—
510C2×C11—22no—
511C2×C11—21no—
512C2×C11—22no—
513C2×C11—21no—
514C2×C11—44no—
515C2×C11—44no—
516C2×C11#302512yescomplemented
517C2×C11C22×#12011yescharacteristic
518D11—48no—
519C24—22no—
520C24—21no—
521C24—22no—
522C24—21no—
523C24—44no—
524C24—114no—
525C24—224no—
526C24C2×C22⋊D1112yes—
527C24C23×D1112yes—
528C24C23×D1111yescharacteristic
529#41—28no—
530#41—28no—
531#41—28no—
532#41—28no—
533#41—2232no—
534#41—2216no—
535#41—2232no—
536#41—2232no—
537#41—2232no—
538#41—2232no—
539#41—2232no—
540#41—228no—
541#41—228no—
542#41—228no—
543#41—228no—
544#41—228no—
545#41—228no—
546#41—228no—
547#41—228no—
548#41—2216no—
549C2×Q8—22no—
550C2×Q8—22no—
551C2×Q8—118no—
552C2×Q8—224no—
553C2×Q8—2216no—
554C2×Q8—2232no—
555C2×Q8—222no—
556C2×Q8—222no—
557C2×Q8—224no—
558C2×Q8C2×C22⋊D1114yescomplemented
559C2×D4—24no—
560C2×D4—24no—
561C2×D4—28no—
562C2×D4—22no—
563C2×D4—22no—
564C2×D4—48no—
565C2×D4—118no—
566C2×D4—118no—
567C2×D4—118no—
568C2×D4—224no—
569C2×D4—2216no—
570C2×D4—2232no—
571C2×D4—2232no—
572C2×D4—2232no—
573C2×D4—228no—
574C2×D4—2216no—
575C2×D4—224no—
576C2×D4—224no—
577C2×D4—224no—
578C2×D4—224no—
579C2×D4—2216no—
580C2×D4—2216no—
581C2×D4—222no—
582C2×D4—222no—
583C2×D4—224no—
584C2×D4—4416no—
585C2×D4C2×C22⋊D1114yes—
586C2×D4C2×C22⋊D1114yescomplemented
587C2×D4C23×D1114yes—
588C22×C4—22no—
589C22×C4—24no—
590C22×C4—22no—
591C22×C4—22no—
592C22×C4—22no—
593C22×C4—22no—
594C22×C4—21no—
595C22×C4—21no—
596C22×C4—28no—
597C22×C4—28no—
598C22×C4—24no—
599C22×C4—24no—
600C22×C4—41no—
601C22×C4—42no—
602C22×C4—42no—
603C22×C4—44no—
604C22×C4—42no—
605C22×C4—44no—
606C22×C4—41no—
607C22×C4—114no—
608C22×C4—1116no—
609C22×C4—228no—
610C22×C4—2232no—
611C22×C4—224no—
612C22×C4—224no—
613C22×C4—228no—
614C22×C4—224no—
615C22×C4—224no—
616C22×C4D4×D1112yes—
617C22×C4D4×D1114yes—
618C22×C4D4×D1112yes—
619C22×C4C2×C22⋊D1112yes—
620C22×C4C2×C22⋊D1111yescharacteristic
621C22×C4C2×C22⋊D1112yes—
622C22×C4C2×C22⋊D1111yescharacteristic
623C22×C4C2×C22⋊D1118yescomplemented
624C22×C4C23×D1112yes—
625C22×C4C23×D1112yes—
626C4⋊C4—24no—
627C4⋊C4—28no—
628C4⋊C4—2216no—
629C4⋊C4—228no—
630C22⋊C4—28no—
631C22⋊C4—22no—
632C22⋊C4—28no—
633C22⋊C4—118no—
634C22⋊C4—2216no—
635C22⋊C4—2216no—
636C22⋊C4—224no—
637C22⋊C4C23×D1114yes—
638C42—24no—
639C42—228no—
640C11C2×#302511yescharacteristic, complemented, Sylow
641C23—24no—
642C23—28no—
643C23—22no—
644C23—24no—
645C23—22no—
646C23—22no—
647C23—42no—
648C23—44no—
649C23—42no—
650C23—44no—
651C23—44no—
652C23—48no—
653C23—44no—
654C23—41no—
655C23—42no—
656C23—41no—
657C23—118no—
658C23—2216no—
659C23—224no—
660C23—224no—
661C23—448no—
662C23—888no—
663C23C2×D4×D1112yes—
664C23C2×D4×D1112yes—
665C23C22×C22⋊D1111yescharacteristic
666C23C22×C22⋊D1114yes—
667C23C22×C22⋊D1111yescharacteristic
668C23C24×D1111yescharacteristic
669Q8—28no—
670Q8—2216no—
671Q8—228no—
672Q8—228no—
673D4—28no—
674D4—28no—
675D4—28no—
676D4—416no—
677D4—2216no—
678D4—2232no—
679D4—228no—
680D4—228no—
681D4—228no—
682D4—228no—
683D4—228no—
684D4—228no—
685D4—4432no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—28no—
689C2×C4—28no—
690C2×C4—24no—
691C2×C4—24no—
692C2×C4—22no—
693C2×C4—44no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—41no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—48no—
700C2×C4—118no—
701C2×C4—2232no—
702C2×C4—2216no—
703C2×C4—224no—
704C2×C4—224no—
705C2×C4—2216no—
706C2×C4—2216no—
707C2×C4—228no—
708C2×C4—448no—
709C2×C4#6699011yescharacteristic
710C2×C4#6699012yes—
711C2×C4#6699012yes—
712C2×C4#6699014yes—
713C2×C4#6699012yes—
714C2×C4#6699014yes—
715C2×C4#6699011yescharacteristic
716C2×C4C2×D4×D1114yes—
717C2×C4C2×D4×D1114yes—
718C2×C4C22×C22⋊D1114yes—
719C2×C4C22×C22⋊D1112yes—
720C2×C4C22×C22⋊D1112yes—
721C22—22no—
722C22—24no—
723C22—24no—
724C22—28no—
725C22—24no—
726C22—42no—
727C22—41no—
728C22—41no—
729C22—44no—
730C22—42no—
731C22—44no—
732C22—44no—
733C22—48no—
734C22—42no—
735C22—44no—
736C22—44no—
737C22—82no—
738C22—228no—
739C22—448no—
740C22—448no—
741C22—884no—
742C22—8816no—
743C22C2×#6699011yescharacteristic
744C22C2×#6699012yes—
745C22C2×#6699011yescharacteristic
746C22C22×D4×D1112yes—
747C22C23×C22⋊D1111yescharacteristic
748C4—24no—
749C4—44no—
750C4—42no—
751C4—228no—
752C4—448no—
753C4C2×#6699012yes—
754C4C2×#6699012yes—
755C4C2×#6699014yes—
756C2—21no—
757C2—22no—
758C2—21no—
759C2—22no—
760C2—44no—
761C2—44no—
762C2—448no—
763C2#1307800712yesdirect product factor
764C2C22×#6699011yescharacteristic
subgroupG/H
centerC2×C4#66990
commutator, cosocleC23×C11C25
FrattiniC23C24×D11
FittingC2×C11×#525C2
socleC22×C11C2×#120
hypercenterC2×#525D11
hypocenterC11C2×#3025
LCSG ▷ C23×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×#10623453C2semidirect
2. C2×#10623322C2semidirect
3. #13078007C2direct (N × H)
4. C2×#10622666C2semidirect
5. C2×#10622645C2semidirect
6. C2×#10622853C2semidirect
7. C2×#10622619C2semidirect
8. C2×C11×#525C2semidirect
10. C24×C4×C11C22semidirect
13. #10623453C22semidirect
23. C11×#525C22semidirect
24. C2×C11×#123C22semidirect
27. C2×C11×#120C22semidirect
29. C2×C11×#117C22semidirect
30. C2×#67006C22semidirect
32. #10623322C22semidirect
34. C2×#66982C22semidirect
36. C2×#66979C22semidirect
38. #10622853C22semidirect
39. C2×#66898C22semidirect
40. #10622666C22semidirect
41. #10622645C22semidirect
42. #10622619C22semidirect
43. C2×#66870C22semidirect
48. C2×C11×#41D4semidirect
50. C22×Q8×C11D4semidirect
52. C22×D4×C11D4semidirect
60. C23×C4×C11D4semidirect
63. C23×C4×C11C23semidirect
97. C2×#4339D4semidirect
100. C22×D44D4semidirect
102. C22×C4×D11D4semidirect
104. C22×Dic22D4semidirect
106. C11×#123C23semidirect
110. C11×#120C23semidirect
113. C11×#117C23semidirect
121. #67006C23semidirect
126. #66982C23semidirect
130. #66979C23semidirect
135. #66898C23semidirect
136. #66870C23semidirect
154. C2×Q8×C11C2×D4semidirect
162. C2×D4×C11C2×D4semidirect
190. C22×C4×C11C2×D4semidirect
232. C2×D44C2×D4semidirect
238. C2×C4×D11C2×D4semidirect
244. C2×Dic22C2×D4semidirect
261. C2×#525D11semidirect
359. C24×C4C2×D11semidirect
363. #525C2×D11semidirect
365. C2×#123C2×D11semidirect
371. C2×#120C2×D11semidirect
375. C2×#117C2×D11semidirect
450. C2×#41C22⋊D11semidirect
455. C22×Q8C22⋊D11semidirect
464. C22×D4C22⋊D11semidirect
474. C23×C4C22⋊D11semidirect
477. C23×C4C22×D11semidirect
481. #123C22×D11semidirect
489. #120C22×D11semidirect
495. #117C22×D11semidirect
516. C2×C11#3025semidirect
558. C2×Q8C2×C22⋊D11semidirect
586. C2×D4C2×C22⋊D11semidirect
623. C22×C4C2×C22⋊D11semidirect
640. C11C2×#3025semidirect
763. C2#13078007direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106234532
C2×#106233222
#130780072
C2×#106226662
C2×#106226452
C2×#106228532
C2×#106226192
C2×C11×#5252
C2×#302511