Finite Group Databasebeta

← #362124

Subgroups — #362124

Order 512.

1328 conjugacy classes of subgroups.

The subgroup lattice has 795 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2906C211yesmaximal, characteristic
2C2×#1950C211yesmaximal, characteristic, complemented
3C2×#1949C211yesmaximal, characteristic, complemented
4C2×#1816C211yesmaximal, characteristic
5C2×#1815C211yesmaximal, characteristic
6#20649C211yesmaximal, characteristic
7C4×#417C211yesmaximal, characteristic
8#11242C211yesmaximal, characteristic, complemented
9#11242C211yesmaximal, characteristic, complemented
10#11239C211yesmaximal, characteristic, complemented
11#11238C211yesmaximal, characteristic, complemented
12#10858C211yesmaximal, characteristic, complemented
13#10847C211yesmaximal, characteristic, complemented
14#10774C211yesmaximal, characteristic
15#10774C211yesmaximal, characteristic
16C22×#131C2211yescharacteristic
17C22×#131C2211yescharacteristic
18C2×C4×#41C2211yescharacteristic
19C22×#108C2211yescharacteristic
20C22×#108C2211yescharacteristic
21C22×#107C2211yescharacteristic
22C22×#106C2211yescharacteristic
23#2906—24no—
24#2906C418yescomplemented
25C2×#424—21no—
26C2×#424—21no—
27C2×#424C2211yescharacteristic
28C2×#424C2211yescharacteristic
29C2×#423—21no—
30C2×#423C2211yescharacteristic
31C2×#423C2211yescharacteristic
32C22×C4⋊C8—21no—
33C22×C4⋊C8C2211yescharacteristic
34C2×#417C2211yescharacteristic
35C2×#417C2211yescharacteristic
36C2×#417C2211yescharacteristic
37C2×#417C2211yescharacteristic
38C2×C4×M16C2211yescharacteristic
39C2×#382C2211yescharacteristic
40C2×C4×C4⋊C4C2211yescharacteristic
41#1950—24no—
42#1949—21no—
43#1949—21no—
44#1949—21no—
45#1949—21no—
46#1816—24no—
47#1815—24no—
48#1805—21no—
49#1805—21no—
50#1804—21no—
51#1804—21no—
52#1763—21no—
53#1762—21no—
54C4×#103—21no—
55C4×#102—21no—
56C2×#343C2211yescharacteristic
57C2×#343C2211yescharacteristic
58C2×#343C2211yescharacteristic
59C2×#343C2211yescharacteristic
60C2×#343C2211yescharacteristic
61C2×#343C2211yescharacteristic
62C2×#343C2211yescharacteristic
63C2×#343C2211yescharacteristic
64C2×#341C2211yescharacteristic
65C2×#341C2211yescharacteristic
66#1736C2211yescharacteristic
67#1736C2211yescharacteristic
68#1736C2211yescharacteristic
69#1736C2211yescharacteristic
70C2×#340C2211yescharacteristic
71C2×#340C2211yescharacteristic
72C22×#41C2311yescharacteristic
73C2×#131—22no—
74C2×#131—22no—
75C2×#131—22no—
76C2×#131—22no—
77C2×#131—22no—
78C2×#131—22no—
79C2×#131—41no—
80C2×#131—41no—
81C2×#131—41no—
82C2×#131—41no—
83C2×#131C2×C414yes—
84C2×#131C2×C414yes—
85C22×M16—21no—
86C22×M16—21no—
87C22×M16C2311yescharacteristic
88C22×M16C2311yescharacteristic
89C22×M16C2311yescharacteristic
90C22×M16C2311yescharacteristic
91C22×M16C2311yescharacteristic
92C22×M16C2311yescharacteristic
93C23×C8—21no—
94C23×C8—21no—
95C23×C8C2311yescharacteristic
96C23×C8C2311yescharacteristic
97C4×#41—22no—
98C4×#41—22no—
99C4×#41C2×C414yes—
100C4×#41Q814yes—
101C2×C4×Q8D411yescharacteristic
102C2×C4×Q8D411yescharacteristic
103C2×C4×D4—21no—
104C2×C4×D4—21no—
105C2×C4×D4D411yescharacteristic
106C2×C4×D4D411yescharacteristic
107C2×#117—21no—
108C2×#117C2311yescharacteristic
109C22×C4⋊C4C2311yescharacteristic
110C22×C4⋊C4C2311yescharacteristic
111C22×C4⋊C4C2311yescharacteristic
112C22×C4⋊C4C2311yescharacteristic
113C22×C42—21no—
114C22×C42—21no—
115C22×C42C2311yescharacteristic
116C2×#108—22no—
117C2×#108—22no—
118C2×#108—22no—
119C2×#108—22no—
120C2×#108—41no—
121C2×#108—41no—
122C2×#107—21no—
123C2×#107—21no—
124C2×#107—22no—
125C2×#107—41no—
126C2×#106—21no—
127C2×#106—21no—
128C2×#106—22no—
129C2×#106—41no—
130#424—22no—
131#424—22no—
132#424—28no—
133#424—28no—
134#424C2×C414yes—
135#424C2×C414yes—
136#423—22no—
137#423—28no—
138#423—22no—
139#423—22no—
140#423C2×C414yes—
141C2×C4⋊C8—21no—
142C2×C4⋊C8—21no—
143C2×C4⋊C8—21no—
144C2×C4⋊C8—21no—
145C2×C4⋊C8—21no—
146C2×C4⋊C8—21no—
147C2×C4⋊C8—28no—
148C2×C4⋊C8—21no—
149C2×C4⋊C8—21no—
150C2×C4⋊C8C2×C414yes—
151C2×C4⋊C8D411yescharacteristic
152C2×C4⋊C8D411yescharacteristic
153C2×C4⋊C8D411yescharacteristic
154C2×C4⋊C8D411yescharacteristic
155C2×C4⋊C8D414yes—
156#417—22no—
157#417—22no—
158#417—22no—
159#417—22no—
160#417—22no—
161#417—22no—
162#417D414yes—
163#417Q814yes—
164C2×#103—21no—
165C2×#103—21no—
166C2×#103—21no—
167C2×#103—21no—
168C2×#102—21no—
169C2×#102—21no—
170C2×#102—21no—
171C2×#102—21no—
172C4×M16—22no—
173C4×M16—22no—
174C2×#97—21no—
175C2×C4×C8—21no—
176#382—21no—
177#382—21no—
178#382—21no—
179#382—21no—
180C4×C4⋊C4—21no—
181C4×C4⋊C4—21no—
182C4×C4⋊C4—21no—
183C4×C4⋊C4—21no—
184C2×#95—21no—
185C2×#95—21no—
186C2×#95—21no—
187#343—22no—
188#343—22no—
189#343—22no—
190#343—22no—
191#343—41no—
192#343—41no—
193#343—41no—
194#343—41no—
195#341—22no—
196#341—22no—
197#340—21no—
198#340—21no—
199#340—21no—
200#340—21no—
201#340—21no—
202#340—21no—
203#340—21no—
204#340—21no—
205#340—21no—
206#340—21no—
207#340—21no—
208#340—21no—
209C2×#41—21no—
210C2×#41—21no—
211C2×#41—21no—
212C2×#41—21no—
213C2×#41—21no—
214C2×#41—21no—
215C2×#41C22×C412yes—
216C2×#41C2×D412yes—
217C2×#41C2×Q812yes—
218C2×#41C2×Q812yes—
219C2×#41#4112yes—
220C2×#41#4112yes—
221C22×Q8C2×D411yescharacteristic
222C22×D4—21no—
223C22×D4C2×D411yescharacteristic
224C23×C4—21no—
225C23×C4—21no—
226C23×C4—21no—
227C23×C4—21no—
228C23×C4—21no—
229C23×C4—21no—
230C23×C4—21no—
231C23×C4#4111yescharacteristic
232C23×C4#4111yescharacteristic
233C23×C4C2411yescharacteristic
234#131—28no—
235#131—28no—
236#131—44no—
237#131—44no—
238#131—44no—
239#131—44no—
240#131—44no—
241#131—44no—
242C2×M16—21no—
243C2×M16—21no—
244C2×M16—21no—
245C2×M16—21no—
246C2×M16—24no—
247C2×M16—24no—
248C2×M16—21no—
249C2×M16—21no—
250C2×M16—21no—
251C2×M16—21no—
252C2×M16—21no—
253C2×M16—21no—
254C2×M16—21no—
255C2×M16—21no—
256C2×M16—21no—
257C2×M16—21no—
258C2×M16—21no—
259C2×M16—21no—
260C2×M16—21no—
261C2×M16—21no—
262C2×M16—21no—
263C2×M16—21no—
264C2×M16—21no—
265C2×M16—21no—
266C2×M16—21no—
267C2×M16—21no—
268C2×M16—21no—
269C2×M16—21no—
270C2×M16—21no—
271C2×M16—21no—
272C2×M16—21no—
273C2×M16—21no—
274C2×M16—21no—
275C2×M16—21no—
276C2×M16—42no—
277C2×M16—42no—
278C2×M16—42no—
279C2×M16—42no—
280C2×M16C22×C412yes—
281C2×M16C22×C412yes—
282C2×M16C2×D412yes—
283C2×M16C2×Q812yes—
284C22×C8—21no—
285C22×C8—21no—
286C22×C8—21no—
287C22×C8—21no—
288C22×C8—21no—
289C22×C8—21no—
290C22×C8—21no—
291C22×C8—21no—
292C22×C8—21no—
293C22×C8—21no—
294C22×C8—21no—
295C22×C8—21no—
296C22×C8—24no—
297C22×C8—24no—
298C22×C8—21no—
299C22×C8—21no—
300C22×C8—42no—
301C22×C8—42no—
302C22×C8—42no—
303C22×C8—42no—
304C22×C8C22×C412yes—
305C22×C8C22×C412yes—
306C22×C8C2×D411yescharacteristic
307C22×C8C2×D411yescharacteristic
308C22×C8C2×D411yescharacteristic
309C22×C8C2×D411yescharacteristic
310C22×C8C2×D412yes—
311C22×C8C2×D412yes—
312C4×Q8—22no—
313C4×Q8—22no—
314C4×Q8C4⋊C414yes—
315C4×Q8C4⋊C414yes—
316C4×D4—24no—
317C4×D4—24no—
318C4×D4—24no—
319C4×D4—24no—
320C4×D4—22no—
321C4×D4—22no—
322C4×D4C4⋊C414yes—
323C4×D4C4⋊C414yes—
324#117—21no—
325#117—21no—
326#117—24no—
327#117—24no—
328#117C22×C412yes—
329#117C2×Q812yes—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4C2×D412yes—
355C2×C4⋊C4C2×D411yescharacteristic
356C2×C4⋊C4C2×D411yescharacteristic
357C2×C4⋊C4C2×Q812yes—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—21no—
360C2×C22⋊C4—21no—
361C2×C42—21no—
362C2×C42—21no—
363C2×C42—21no—
364C2×C42—24no—
365C2×C42—24no—
366C2×C42—41no—
367C2×C42—41no—
368C2×C42—82no—
369C2×C42C22×C412yes—
370C2×C42C2×D412yes—
371C2×C42C2×D411yescharacteristic
372C2×C42C2×D411yescharacteristic
373C2×C42C2×D411yescharacteristic
374C2×C42C2×D411yescharacteristic
375C2×C42C2×Q812yes—
376C2×C42#4112yes—
377#108—44no—
378#108—44no—
379#107—42no—
380#107—42no—
381#106—42no—
382#106—42no—
383C4⋊C8—24no—
384C4⋊C8—24no—
385C4⋊C8—24no—
386C4⋊C8—24no—
387C4⋊C8—24no—
388C4⋊C8—24no—
389C4⋊C8—42no—
390C4⋊C8—42no—
391C4⋊C8C22⋊C414yes—
392C4⋊C8C22⋊C414yes—
393C4⋊C8C22⋊C414yes—
394C4⋊C8C22⋊C414yes—
395#103—24no—
396#103—24no—
397#103—42no—
398#103—42no—
399#102—24no—
400#102—24no—
401#102—42no—
402#102—42no—
403#97—42no—
404C4×C8—42no—
405#95—41no—
406#95—41no—
407#95—41no—
408#95—41no—
409#95—41no—
410#95—41no—
411C24—21no—
412C24C2×#4111yescharacteristic
413#41—22no—
414#41—22no—
415#41—22no—
416#41—22no—
417#41—22no—
418#41—22no—
419#41—22no—
420#41—22no—
421#41—22no—
422#41—22no—
423#41—22no—
424#41—22no—
425#41C4×D414yes—
426#41C4×Q814yes—
427#41#12514yes—
428#41C4⋊Q814yes—
429C2×Q8—21no—
430C2×Q8—21no—
431C2×Q8—21no—
432C2×Q8C2×C4⋊C412yes—
433C2×Q8#12112yes—
434C2×Q8C22⋊Q812yes—
435C2×D4—22no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—22no—
441C2×D4—21no—
442C2×D4—21no—
443C2×D4—21no—
444C2×D4C2×C4⋊C412yes—
445C2×D4#12112yes—
446C2×D4C22⋊Q812yes—
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—41no—
461C22×C4—41no—
462C22×C4—41no—
463C22×C4—41no—
464C22×C4—42no—
465C22×C4—42no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—41no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—41no—
476C22×C4—81no—
477C22×C4—81no—
478C22×C4—81no—
479C22×C4—81no—
480C22×C4—81no—
481C22×C4—81no—
482C22×C4—81no—
483C22×C4—81no—
484C22×C4—81no—
485C22×C4—81no—
486C22×C4#11712yes—
487C22×C4#11712yes—
488C22×C4#12111yescharacteristic
489C22×C4#12111yescharacteristic
490C22×C4#12111yescharacteristic
491C22×C4#12111yescharacteristic
492C22×C4C22⋊Q812yes—
493C22×C4C22⋊Q812yes—
494C22×C4C23×C411yescharacteristic
495C22×C4C22×D411yescharacteristic
496C22×C4C22×D411yescharacteristic
497C22×C4C22×D411yescharacteristic
498C22×C4C22×D411yescharacteristic
499C22×C4C22×Q811yescharacteristic
500C22×C4C22×Q811yescharacteristic
501C22×C4C2×#4111yescharacteristic
502C22×C4C2×#4111yescharacteristic
503C22×C4C2×#4111yescharacteristic
504C22×C4H(5,𝔽2)11yescharacteristic
505C22×C4H(5,𝔽2)11yescharacteristic
506C22×C42−1+411yescharacteristic
507C22×C42−1+411yescharacteristic
508M16—22no—
509M16—22no—
510M16—22no—
511M16—22no—
512M16—22no—
513M16—22no—
514M16—22no—
515M16—22no—
516M16—48no—
517M16—48no—
518M16—41no—
519M16—41no—
520M16—41no—
521M16—41no—
522M16—41no—
523M16—41no—
524M16—41no—
525M16—41no—
526M16—41no—
527M16—41no—
528M16—41no—
529M16—41no—
530M16—41no—
531M16—41no—
532M16—41no—
533M16—41no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—48no—
555C2×C8—48no—
556C2×C8—41no—
557C2×C8—41no—
558C2×C8—41no—
559C2×C8—41no—
560C2×C8—41no—
561C2×C8—41no—
562C2×C8—41no—
563C2×C8—41no—
564C2×C8—41no—
565C2×C8—41no—
566C2×C8—41no—
567C2×C8—41no—
568C2×C8—41no—
569C2×C8—41no—
570C2×C8C2×C22⋊C412yes—
571C2×C8C2×C22⋊C412yes—
572C2×C8C2×C22⋊C412yes—
573C2×C8C2×C22⋊C412yes—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—22no—
582C4⋊C4—41no—
583C4⋊C4—41no—
584C4⋊C4—41no—
585C4⋊C4—41no—
586C4⋊C4—41no—
587C4⋊C4—41no—
588C4⋊C4—41no—
589C4⋊C4—41no—
590C4⋊C4—41no—
591C4⋊C4—41no—
592C4⋊C4—41no—
593C4⋊C4—41no—
594C4⋊C4C2×C4⋊C412yes—
595C4⋊C4C2×C4⋊C412yes—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—24no—
599C22⋊C4—24no—
600C42—22no—
601C42—22no—
602C42—24no—
603C42—24no—
604C42—82no—
605C42—82no—
606C42C2×C22⋊C412yes—
607C42C2×C22⋊C412yes—
608C42C2×C4⋊C412yes—
609C42C2×C4⋊C412yes—
610C42#12112yes—
611C42#12112yes—
612C42C22⋊Q812yes—
613C42C22⋊Q812yes—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23C2×#11711yescharacteristic
626C23C2×#12111yescharacteristic
627C23C2×C22⋊Q811yescharacteristic
628C23#54711yescharacteristic
629C23#55211yescharacteristic
630C23#55311yescharacteristic
631C23#55411yescharacteristic
632Q8—22no—
633Q8—22no—
634Q8—22no—
635Q8#38914yes—
636D4—24no—
637D4—24no—
638D4—24no—
639D4—24no—
640D4—22no—
641D4—22no—
642D4—22no—
643D4#38914yes—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—48no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—84no—
673C2×C4—82no—
674C2×C4—82no—
675C2×C4—81no—
676C2×C4—81no—
677C2×C4—81no—
678C2×C4—81no—
679C2×C4—82no—
680C2×C4—82no—
681C2×C4—81no—
682C2×C4—81no—
683C2×C4—81no—
684C2×C4—81no—
685C2×C4—81no—
686C2×C4—81no—
687C2×C4—161no—
688C2×C4—161no—
689C2×C4—161no—
690C2×C4—161no—
691C2×C4#38012yes—
692C2×C4#38012yes—
693C2×C4#38012yes—
694C2×C4#38012yes—
695C2×C4C22×C22⋊C411yescharacteristic
696C2×C4C22×C4⋊C411yescharacteristic
697C2×C4C2×C4×D411yescharacteristic
698C2×C4C2×C4×Q811yescharacteristic
699C2×C4#51811yescharacteristic
700C2×C4#51911yescharacteristic
701C2×C4C2×#12111yescharacteristic
702C2×C4C2×#12111yescharacteristic
703C2×C4C2×C22⋊Q811yescharacteristic
704C2×C4C2×C22⋊Q811yescharacteristic
705C2×C4C2×#12511yescharacteristic
706C2×C4C2×C4⋊Q811yescharacteristic
707C2×C4#53711yescharacteristic
708C2×C4#53711yescharacteristic
709C2×C4#54411yescharacteristic
710C2×C4#54411yescharacteristic
711C2×C4D4211yescharacteristic
712C2×C4D4211yescharacteristic
713C2×C4#54611yescharacteristic
714C2×C4#54611yescharacteristic
715C2×C4#54711yescharacteristic
716C2×C4#54811yescharacteristic
717C2×C4#54811yescharacteristic
718C2×C4D4×Q811yescharacteristic
719C2×C4D4×Q811yescharacteristic
720C2×C4#55211yescharacteristic
721C2×C4#55311yescharacteristic
722C2×C4#55411yescharacteristic
723C8—22no—
724C8—22no—
725C8—22no—
726C8—22no—
727C8—42no—
728C8—42no—
729C8—42no—
730C8—42no—
731C8—81no—
732C8—81no—
733C22—21no—
734C22—21no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—21no—
740C22—21no—
741C22—21no—
742C22—21no—
743C22—21no—
744C22—21no—
745C22—24no—
746C22—42no—
747C22—42no—
748C22—42no—
749C22—42no—
750C22—42no—
751C22—42no—
752C22C2×#38011yescharacteristic
753C22#234411yescharacteristic
754C22#234511yescharacteristic
755C22#241611yescharacteristic
756C22#241711yescharacteristic
757C22#244011yescharacteristic
758C22#244211yescharacteristic
759C22#306711yescharacteristic
760C22#306711yescharacteristic
761C22#306811yescharacteristic
762C22#306911yescharacteristic
763C4—24no—
764C4—22no—
765C4—22no—
766C4—22no—
767C4—22no—
768C4—42no—
769C4—42no—
770C4—82no—
771C4—82no—
772C4—161no—
773C4—161no—
774C4C2×#38911yescharacteristic
775C4#231611yescharacteristic
776C4D4×C22⋊C411yescharacteristic
777C4Q8×C22⋊C411yescharacteristic
778C4#241611yescharacteristic
779C4#241711yescharacteristic
780C4#244011yescharacteristic
781C4#244211yescharacteristic
782C2—21no—
783C2—21no—
784C2—21no—
785C2—21no—
786C2—44no—
787C2#1390711yescharacteristic
788C2#2067811yescharacteristic
789C2#2067911yescharacteristic
790C2#2477411yescharacteristic
791C2#2477511yescharacteristic
792C2#2485911yescharacteristic
793C2#2486011yescharacteristic
subgroupG/H
center, socleC23C2×#121
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC22×#41C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C42 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#1950C2semidirect
3. C2×#1949C2semidirect
8. #11242C2semidirect
9. #11242C2semidirect
10. #11239C2semidirect
11. #11238C2semidirect
12. #10858C2semidirect
13. #10847C2semidirect
24. #2906C4semidirect

Maximal subgroups

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

subgroupindex
C2×#29062
C2×#19502
C2×#19492
C2×#18162
C2×#18152
#206492
C4×#4172
#112422
#112392
#112382
#108582
#108472
#107742