Finite Group Databasebeta

← #35311367

Subgroups — #35311367

Order 21248.

1238 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14581714C211yesmaximal, characteristic
2C22×#14581712C211yesmaximal, characteristic
3C2×#19127602C211yesmaximal, characteristic
4C2×#19127566C211yesmaximal, characteristic, complemented
5C2×#19127463C211yesmaximal, characteristic, complemented
6C2×#19127455C211yesmaximal, characteristic, complemented
7C2×#340×C83C211yesmaximal, characteristic, complemented
8C23×D332C2211yescharacteristic
9C23×C83⋊C8C2211yescharacteristic
10C22×C4⋊Dic83C2211yescharacteristic
11C22×(C2×D83)⋊C4—22no—
12C22×C4×Dic83C2211yescharacteristic
13C2×#14581714—22no—
14C2×#14581714—22no—
15C2×#14581714—22no—
16C2×#14581712—22no—
17C2×#14581712—22no—
18C2×#14581712—22no—
19#19127602—22no—
20#19127602C414yescomplemented
21#19127566—22no—
22#19127566—22no—
23C2×C83⋊#95—22no—
24#19127463—22no—
25#19127455—22no—
26C23×C8×C83C2211yescharacteristic
27C22×C4⋊C4×C83C2211yescharacteristic
28C22×C4⋊C4×C83C2211yescharacteristic
29#340×C83—22no—
30C24×D83—21no—
31C22×D332—21no—
32C22×D332—21no—
33C22×D332—21no—
34C22×D332—21no—
35C22×D332—21no—
36C22×D332—21no—
37C22×D332—21no—
38C22×D332—21no—
39C22×D332—21no—
40C22×D332—21no—
41C22×D332—21no—
42C22×D332C2×C412yes—
43C22×D332D412yes—
44C22×D332Q812yes—
45C23×Dic83—21no—
46C23×Dic83D412yes—
47C22×C83⋊C8—21no—
48C22×C83⋊C8—21no—
49C22×C83⋊C8—21no—
50C22×C83⋊C8—21no—
51C22×C83⋊C8—21no—
52C22×C83⋊C8—21no—
53C22×C83⋊C8D412yes—
54C2×C4⋊Dic83—21no—
55C2×C4⋊Dic83—21no—
56C2×C4⋊Dic83—21no—
57C2×C4⋊Dic83—21no—
58C2×C4⋊Dic83—21no—
59C2×C4⋊Dic83D412yes—
60C2×(C2×D83)⋊C4—28no—
61C2×(C2×D83)⋊C4—44no—
62C2×(C2×D83)⋊C4—44no—
63C2×C4×Dic83—21no—
64C2×C4×Dic83—21no—
65C2×C4×Dic83—21no—
66C2×C4×Dic83—21no—
67C2×C4×Dic83C2×C412yes—
68C2×C4×Dic83D412yes—
69#14581714—28no—
70#14581712—28no—
71C83⋊#95—28no—
72C23×C4×C83—21no—
73C23×C4×C83—21no—
74C23×C4×C83C2311yescharacteristic
75C22×C8×C83—21no—
76C22×C8×C83—21no—
77C22×C8×C83—21no—
78C22×C8×C83—21no—
79C22×C8×C83—21no—
80C22×C8×C83—21no—
81C22×C8×C83D412yes—
82C2×C4⋊C4×C83—21no—
83C2×C4⋊C4×C83—21no—
84C2×C4⋊C4×C83—21no—
85C2×C4⋊C4×C83—21no—
86C2×C4⋊C4×C83—21no—
87C2×C4⋊C4×C83—21no—
88C2×C4⋊C4×C83—21no—
89C2×C4⋊C4×C83—21no—
90C2×C4⋊C4×C83—21no—
91C2×C4⋊C4×C83—21no—
92C2×C4⋊C4×C83C2×C412yes—
93C2×C4⋊C4×C83D412yes—
94C23×D83—22no—
95C23×D83—22no—
96C23×D83—22no—
97C23×D83—41no—
98C23×D83—41no—
99C23×D83—41no—
100C23×D83—41no—
101C23×D83—42no—
102C23×D83—42no—
103C23×D83—42no—
104C23×D83—42no—
105C2×D332—22no—
106C2×D332—22no—
107C2×D332—22no—
108C2×D332—22no—
109C2×D332—22no—
110C2×D332—22no—
111C2×D332—22no—
112C2×D332—22no—
113C2×D332—22no—
114C2×D332—22no—
115C2×D332—22no—
116C2×D332—22no—
117C2×D332—22no—
118C2×D332—22no—
119C2×D332—22no—
120C2×D332—41no—
121C2×D332—41no—
122C2×D332—41no—
123C2×D332—41no—
124C2×D332—41no—
125C2×D332—41no—
126C2×D332—41no—
127C2×D332—41no—
128C2×D332—41no—
129C2×D332—41no—
130C2×D332—41no—
131C2×D332—41no—
132C2×D332C4⋊C414yes—
133C22×Dic83—22no—
134C22×Dic83—22no—
135C22×Dic83—22no—
136C22×Dic83—22no—
137C22×Dic83—22no—
138C22×Dic83—22no—
139C22×Dic83—22no—
140C22×Dic83—41no—
141C22×Dic83—41no—
142C22×Dic83—42no—
143C22×Dic83—42no—
144C22×Dic83C22⋊C414yes—
145C2×C83⋊C8—22no—
146C2×C83⋊C8—22no—
147C2×C83⋊C8—22no—
148C2×C83⋊C8—41no—
149C2×C83⋊C8—41no—
150C2×C83⋊C8—41no—
151C2×C83⋊C8—41no—
152C4⋊Dic83—22no—
153C4⋊Dic83—22no—
154C4⋊Dic83—41no—
155C4⋊Dic83—41no—
156(C2×D83)⋊C4—416no—
157C4×Dic83—22no—
158C4×Dic83—22no—
159C4×Dic83—22no—
160C4×Dic83—22no—
161C24×C83C2×D411yescharacteristic
162C22×C4×C83—22no—
163C22×C4×C83—22no—
164C22×C4×C83—41no—
165C22×C4×C83—41no—
166C22×C4×C83—41no—
167C22×C4×C83—41no—
168C22×C4×C83—42no—
169C22×C4×C83—42no—
170C22×C4×C83—42no—
171C22×C4×C83—42no—
172C22×C4×C83C22×C411yescharacteristic
173C22×C4×C83C2×D411yescharacteristic
174C22×C4×C83C2×D411yescharacteristic
175C22×C4×C83C2×D411yescharacteristic
176C22×C4×C83C2×D411yescharacteristic
177C22×C4×C83C2×D411yescharacteristic
178C22×C4×C83C2×D411yescharacteristic
179C22×C4×C83C2×Q811yescharacteristic
180C22×C4×C83#4111yescharacteristic
181C22×C4×C83#4111yescharacteristic
182C22×C4×C83#4111yescharacteristic
183C22×C4×C83#4111yescharacteristic
184C22×C4×C83#4111yescharacteristic
185C22×C4×C83#4111yescharacteristic
186C2×C8×C83—22no—
187C2×C8×C83—22no—
188C2×C8×C83—22no—
189C2×C8×C83—41no—
190C2×C8×C83—41no—
191C2×C8×C83—41no—
192C2×C8×C83—41no—
193C4⋊C4×C83—22no—
194C4⋊C4×C83—22no—
195C4⋊C4×C83—22no—
196C4⋊C4×C83—22no—
197C4⋊C4×C83—41no—
198C4⋊C4×C83—41no—
199C4⋊C4×C83—41no—
200C4⋊C4×C83—41no—
201C23×C83C2×C22⋊C411yescharacteristic
202C23×C83#12011yescharacteristic
203C23×C83#12111yescharacteristic
204C23×C83C22⋊Q811yescharacteristic
205C23×C83#12311yescharacteristic
206C23×C83#12411yescharacteristic
207C23×C83#12711yescharacteristic
208C23×C83#13512yes—
209C23×C83#13512yes—
210C23×C83AGL(1,ℤ/8)12yes—
211C23×C83AGL(1,ℤ/8)12yes—
212C22×D83—24no—
213C22×D83—42no—
214C22×D83—42no—
215C22×D83—42no—
216C22×D83—42no—
217C22×D83—42no—
218C22×D83—42no—
219C22×D83—44no—
220C22×D83—44no—
221C22×D83—44no—
222C22×D83—44no—
223C22×D83—44no—
224C22×D83—44no—
225C22×D83—82no—
226C22×D83—82no—
227C22×D83—82no—
228C22×D83—82no—
229C22×D83—82no—
230C22×D83—82no—
231C22×D83—81no—
232C22×D83—81no—
233C22×D83—81no—
234C22×D83—81no—
235C2×C4×C83—42no—
236C2×C4×C83—42no—
237C2×C4×C83—44no—
238C2×C4×C83—44no—
239C2×C4×C83—82no—
240C2×C4×C83—82no—
241C2×C4×C83—81no—
242C2×C4×C83—81no—
243C2×C4×C83—81no—
244C2×C4×C83—81no—
245C2×C4×C83C2×C4⋊C411yescharacteristic
246C2×C4×C83#11711yescharacteristic
247C2×C4×C83C4×D411yescharacteristic
248C2×C4×C83C4×D411yescharacteristic
249C2×C4×C83C4×D411yescharacteristic
250C2×C4×C83C4×D411yescharacteristic
251C2×C4×C83#12011yescharacteristic
252C2×C4×C83#12011yescharacteristic
253C2×C4×C83#12111yescharacteristic
254C2×C4×C83#12111yescharacteristic
255C2×C4×C83#12111yescharacteristic
256C2×C4×C83#12111yescharacteristic
257C2×C4×C83#12111yescharacteristic
258C2×C4×C83#12111yescharacteristic
259C2×C4×C83#12111yescharacteristic
260C2×C4×C83C22⋊Q811yescharacteristic
261C2×C4×C83C22⋊Q811yescharacteristic
262C2×C4×C83C22⋊Q811yescharacteristic
263C2×C4×C83C22⋊Q811yescharacteristic
264C2×C4×C83C22⋊Q811yescharacteristic
265C2×C4×C83#12311yescharacteristic
266C2×C4×C83#12311yescharacteristic
267C2×C4×C83#12311yescharacteristic
268C2×C4×C83#12311yescharacteristic
269C2×C4×C83#12411yescharacteristic
270C2×C4×C83#12411yescharacteristic
271C2×C4×C83#12611yescharacteristic
272C2×C4×C83#12611yescharacteristic
273C2×Dic83—24no—
274C2×Dic83—24no—
275C2×Dic83—24no—
276C2×Dic83—42no—
277C2×Dic83—42no—
278C2×Dic83—42no—
279C2×Dic83—42no—
280C2×Dic83—42no—
281C2×Dic83—44no—
282C2×Dic83—82no—
283C2×Dic83—81no—
284C2×Dic83—81no—
285D332—24no—
286D332—24no—
287D332—42no—
288D332—42no—
289D332—42no—
290D332—42no—
291D332—42no—
292D332—42no—
293C8×C83—42no—
294C83⋊C8—42no—
295C22×C83#38011yescharacteristic
296C22×C83#38611yescharacteristic
297C22×C83#39011yescharacteristic
298C22×C83#39211yescharacteristic
299C22×C83#39311yescharacteristic
300C22×C83#39711yescharacteristic
301C22×C83#39911yescharacteristic
302C22×C83#41612yes—
303C22×C83#41812yes—
304C22×C83#44912yes—
305C22×C83#44912yes—
306C22×C83#46312yes—
307C22×C83#46312yes—
308C22×C83#47812yes—
309C22×C83#47812yes—
310C22×C83#48212yes—
311C22×C83#48212yes—
312C22×C83#48812yes—
313C22×C83#49012yes—
314C22×C83#49511yescharacteristic
315C22×C83#49511yescharacteristic
316C22×C83#49611yescharacteristic
317C22×C83#49611yescharacteristic
318C2×D83—48no—
319C2×D83—44no—
320C2×D83—84no—
321C2×D83—82no—
322C2×D83—82no—
323C2×D83—84no—
324C2×D83—82no—
325C2×D83—82no—
326C2×D83—82no—
327C2×D83—82no—
328C2×D83—84no—
329C4×C83—82no—
330C4×C83—82no—
331C4×C83#38511yescharacteristic
332C4×C83#38511yescharacteristic
333C4×C83#38811yescharacteristic
334C4×C83#38811yescharacteristic
335C4×C83#39411yescharacteristic
336C4×C83#39411yescharacteristic
337C4×C83#39611yescharacteristic
338C4×C83#39611yescharacteristic
339Dic83—44no—
340Dic83—82no—
341#11051—831nomaximal, Sylow
342C2×C83#143911yescharacteristic
343C2×C83#180412yes—
344C2×C83#187512yes—
345C2×C83#195811yescharacteristic
346C2×C83#196111yescharacteristic
347C2×C83#201211yescharacteristic
348C2×C83#201211yescharacteristic
349C2×C83#202512yes—
350C2×C83#207312yes—
351C2×C83#209211yescharacteristic
352C2×C83#209211yescharacteristic
353D83—84no—
354C22×#102—831no—
355C22×#102—831no—
356C2×#390—831no—
357C2×#382—831no—
358C2×#340—831no—
359C2×#340D8311yescharacteristic, complemented
360C2×#336—831no—
361C83#1105111yescharacteristic, complemented, Sylow
362C23×D4—831no—
363C23×C8—831no—
364C23×C8C2×D8311yescharacteristic
365C22×C4⋊C4—831no—
366C22×C4⋊C4C2×D8311yescharacteristic
367C22×C4⋊C4C2×D8311yescharacteristic
368C22×C22⋊C4—1662no—
369C22×C42—831no—
370C2×#102—1662no—
371C2×#102—1662no—
372C2×#102—1662no—
373C2×#102—1662no—
374C2×#102—1662no—
375C2×#102—1662no—
376#390—834no—
377#390—1662no—
378#382—1662no—
379#382—1662no—
380C2×#95—1662no—
381#340—22no—
382#340—1662no—
383#336—1662no—
384C25—1661no—
385C22×D4—832no—
386C22×D4—832no—
387C22×D4—832no—
388C22×D4—1661no—
389C22×D4—1661no—
390C22×D4—1661no—
391C22×D4—1661no—
392C22×D4—1661no—
393C22×D4—1661no—
394C22×D4—1661no—
395C22×D4—1661no—
396C22×D4—1661no—
397C22×D4—1661no—
398C22×D4—1661no—
399C23×C4—21no—
400C23×C4—21no—
401C23×C4—832no—
402C23×C4—1661no—
403C23×C4C22×D8311yescharacteristic
404C22×C8—21no—
405C22×C8—21no—
406C22×C8—21no—
407C22×C8—21no—
408C22×C8—21no—
409C22×C8—21no—
410C22×C8—832no—
411C22×C8—1661no—
412C22×C8—1661no—
413C22×C8—1661no—
414C22×C8—1661no—
415C22×C8—1661no—
416C22×C8—1661no—
417C22×C8C22⋊D8312yes—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—21no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—832no—
429C2×C4⋊C4—1661no—
430C2×C4⋊C4—1661no—
431C2×C4⋊C4—1661no—
432C2×C4⋊C4—1661no—
433C2×C4⋊C4—1661no—
434C2×C4⋊C4C4×D8312yes—
435C2×C4⋊C4D33212yes—
436C2×C22⋊C4—3324no—
437C2×C22⋊C4—3324no—
438C2×C22⋊C4—1668no—
439C2×C42—832no—
440C2×C42—832no—
441C2×C42—1661no—
442C2×C42—1661no—
443C2×C42—1661no—
444C2×C42—1661no—
445#102—1668no—
446#102—1668no—
447#95—1668no—
448C24—3321no—
449C24—3321no—
450C24—3321no—
451C24—3321no—
452C24—3322no—
453C24—3322no—
454C24—3322no—
455C24—3322no—
456C24—1662no—
457C24—1662no—
458C24—1662no—
459C24D4×D8311yescharacteristic
460C2×D4—3321no—
461C2×D4—3321no—
462C2×D4—3321no—
463C2×D4—3321no—
464C2×D4—3321no—
465C2×D4—3321no—
466C2×D4—3321no—
467C2×D4—3321no—
468C2×D4—3321no—
469C2×D4—3321no—
470C2×D4—3321no—
471C2×D4—3321no—
472C2×D4—834no—
473C2×D4—1662no—
474C2×D4—1662no—
475C2×D4—1662no—
476C2×D4—1662no—
477C2×D4—1662no—
478C2×D4—1662no—
479C2×D4—1662no—
480C2×D4—1662no—
481C2×D4—1662no—
482C2×D4—1662no—
483C2×D4—1662no—
484C2×D4—1662no—
485C2×D4—1662no—
486C2×D4—1662no—
487C2×D4—1662no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—41no—
491C22×C4—41no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—3321no—
499C22×C4—3321no—
500C22×C4—3322no—
501C22×C4—3322no—
502C22×C4—834no—
503C22×C4—1662no—
504C22×C4—1662no—
505C22×C4—1662no—
506C22×C4—1662no—
507C22×C4—1662no—
508C22×C4—1662no—
509C22×C4—1662no—
510C22×C4C2×C4×D8311yescharacteristic
511C22×C4D4×D8311yescharacteristic
512C22×C4D4×D8311yescharacteristic
513C22×C4D4×D8311yescharacteristic
514C22×C4D4×D8311yescharacteristic
515C22×C4C2×C22⋊D8311yescharacteristic
516C22×C4C2×D33211yescharacteristic
517C22×C4Q8×D8311yescharacteristic
518C22×C4#1305058911yescharacteristic
519C22×C4#1305059011yescharacteristic
520C22×C4#1305059011yescharacteristic
521C22×C4#1305059011yescharacteristic
522C22×C4#1305059011yescharacteristic
523C22×C4#1305059111yescharacteristic
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—41no—
528C2×C8—41no—
529C2×C8—41no—
530C2×C8—41no—
531C2×C8—3321no—
532C2×C8—3321no—
533C2×C8—3321no—
534C2×C8—3321no—
535C2×C8—1662no—
536C2×C8—1662no—
537C2×C8—1662no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—41no—
543C4⋊C4—41no—
544C4⋊C4—41no—
545C4⋊C4—41no—
546C4⋊C4—3321no—
547C4⋊C4—3321no—
548C4⋊C4—1662no—
549C4⋊C4—1662no—
550C22⋊C4—33216no—
551C42—1662no—
552C42—1662no—
553C42—1662no—
554C42—1662no—
555C23—3322no—
556C23—3322no—
557C23—3322no—
558C23—3322no—
559C23—3322no—
560C23—3322no—
561C23—3324no—
562C23—3324no—
563C23—3324no—
564C23—3324no—
565C23—3324no—
566C23—3324no—
567C23—6642no—
568C23—6641no—
569C23—6641no—
570C23—6641no—
571C23—6641no—
572C23—6642no—
573C23—6642no—
574C23—6642no—
575C23—6642no—
576C23—6642no—
577C23—1664no—
578C23C22⋊C4×D8311yescharacteristic
579C23#1458176211yescharacteristic
580C23#1458176511yescharacteristic
581C23#1458177011yescharacteristic
582C23#1458177711yescharacteristic
583C23#1458177811yescharacteristic
584C23#1458178811yescharacteristic
585C23#1458181312yes—
586C23#1458181512yes—
587C23#1458181612yes—
588C23#1458181912yes—
589D4—3322no—
590D4—3322no—
591D4—3322no—
592D4—3322no—
593D4—3322no—
594D4—3322no—
595D4—1664no—
596D4—1664no—
597C2×C4—44no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—44no—
601C2×C4—82no—
602C2×C4—81no—
603C2×C4—81no—
604C2×C4—81no—
605C2×C4—81no—
606C2×C4—82no—
607C2×C4—3322no—
608C2×C4—3322no—
609C2×C4—3322no—
610C2×C4—3322no—
611C2×C4—3324no—
612C2×C4—3322no—
613C2×C4—6641no—
614C2×C4—6641no—
615C2×C4—6642no—
616C2×C4—1664no—
617C2×C4—1664no—
618C2×C4—1664no—
619C2×C4C4⋊C4×D8311yescharacteristic
620C2×C4#1458174911yescharacteristic
621C2×C4(C22⋊D83)⋊C411yescharacteristic
622C2×C4C4×C22⋊D8311yescharacteristic
623C2×C4#1458175411yescharacteristic
624C2×C4C4×D33211yescharacteristic
625C2×C4#1458176011yescharacteristic
626C2×C4#1458176211yescharacteristic
627C2×C4#1458176411yescharacteristic
628C2×C4#1458176511yescharacteristic
629C2×C4#1458176511yescharacteristic
630C2×C4#1458176511yescharacteristic
631C2×C4#1458176511yescharacteristic
632C2×C4#1458176611yescharacteristic
633C2×C4#1458176711yescharacteristic
634C2×C4#1458176811yescharacteristic
635C2×C4#1458177011yescharacteristic
636C2×C4#1458177011yescharacteristic
637C2×C4#1458177011yescharacteristic
638C2×C4#1458177211yescharacteristic
639C2×C4#1458177411yescharacteristic
640C2×C4#1458177511yescharacteristic
641C2×C4#1458177711yescharacteristic
642C2×C4#1458177711yescharacteristic
643C2×C4#1458177811yescharacteristic
644C2×C4#1458178011yescharacteristic
645C2×C4#1458178611yescharacteristic
646C2×C4#1458178711yescharacteristic
647C8—42no—
648C8—3322no—
649C22—3328no—
650C22—3324no—
651C22—6644no—
652C22—6644no—
653C22—6644no—
654C22—6642no—
655C22—6642no—
656C22—6642no—
657C22—6642no—
658C22—6642no—
659C22—6642no—
660C22#1912756011yescharacteristic
661C22#1912757911yescharacteristic
662C22#1912760111yescharacteristic
663C22#1912761011yescharacteristic
664C22#1912761411yescharacteristic
665C22#1912763011yescharacteristic
666C22#1912763611yescharacteristic
667C22#1912769612yes—
668C22#1912770412yes—
669C22#1912784712yes—
670C22#1912784912yes—
671C22#1912791512yes—
672C22#1912791912yes—
673C22#1912800012yes—
674C22#1912800412yes—
675C22#1912802712yes—
676C22#1912802812yes—
677C22#1912805712yes—
678C22#1912806412yes—
679C22#1912808211yescharacteristic
680C22#1912808611yescharacteristic
681C22#1912808711yescharacteristic
682C22#1912808911yescharacteristic
683C4—82no—
684C4—82no—
685C4—3324no—
686C4—6642no—
687C4#1912757211yescharacteristic
688C4#1912757511yescharacteristic
689C4#1912759011yescharacteristic
690C4#1912759211yescharacteristic
691C4#1912761611yescharacteristic
692C4#1912761911yescharacteristic
693C4#1912762311yescharacteristic
694C4#1912762511yescharacteristic
695C2—6644no—
696C2#2490570711yescharacteristic
697C2#2490747212yes—
698C2#2490778412yes—
699C2#2490827111yescharacteristic
700C2#2490828511yescharacteristic
701C2#2490854111yescharacteristic
702C2#2490854211yescharacteristic
703C2#2490860812yes—
704C2#2490888012yes—
705C2#2490898111yescharacteristic
706C2#2490898511yescharacteristic
subgroupG/H
centerC24D4×D83
commutatorC22×C4×C83C22×C4
FrattiniC23×C4C22×D83
FittingC2×#340×C83C2
socleC24×C83C2×D4
prime radicalC23×D332C22
cosocleC23×C4×C83C23
hypercenterC2×#340D83
hypocenterC83#11051
LCSG ▷ C22×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C24 ◁ C23×C4 ◁ C2×#340

Complements

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

NH ≅ G/Ntype
4. C2×#19127566C2semidirect
5. C2×#19127463C2semidirect
6. C2×#19127455C2semidirect
7. C2×#340×C83C2semidirect
20. #19127602C4semidirect
359. C2×#340D83semidirect
361. C83#11051semidirect

Maximal subgroups

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

subgroupindex
C22×#145817142
C22×#145817122
C2×#191276022
C2×#191275662
C2×#191274632
C2×#191274552
C2×#340×C832
#1105183