Finite Group Databasebeta

← #29708857

Subgroups — #29708857

Order 15616.

1126 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839797C211yesmaximal, characteristic, complemented
2C2×C22⋊C8×D61C211yesmaximal, characteristic
3#21448201C211yesmaximal, characteristic
4#21448201C211yesmaximal, characteristic
5#21447254C211yesmaximal, characteristic, complemented
6#21447253C211yesmaximal, characteristic, complemented
7#21447252C211yesmaximal, characteristic, complemented
8#21447251C211yesmaximal, characteristic, complemented
9#21447250C211yesmaximal, characteristic, complemented
10#21447246C211yesmaximal, characteristic, complemented
11#21447245C211yesmaximal, characteristic, complemented
12#21445534C211yesmaximal, characteristic, complemented
13#21445534C211yesmaximal, characteristic, complemented
14#21445534C211yesmaximal, characteristic, complemented
15C61×#2077C211yesmaximal, characteristic, complemented
16C23×C4×D61C2211yescharacteristic
17C22×C8×D61C2211yescharacteristic
18C22×C8×D61C2211yescharacteristic
19C2×#14519735C2211yescharacteristic
20C2×#14519735C2211yescharacteristic
21C2×#14519735C2211yescharacteristic
22C2×#14519735C2211yescharacteristic
23#16839797—24no—
24C2×#14519710C2211yescharacteristic, complemented
25C2×#14519710C2211yescharacteristic, complemented
26C2×#14519709C2211yescharacteristic, complemented
27C2×C22⋊#92418C2211yescharacteristic
28C2×#14519689C2211yescharacteristic
29C2×#14519689C2211yescharacteristic
30C22⋊C8×D61—24no—
31#16839624—21no—
32#16839624—21no—
33#16839622C2211yescharacteristic
34#16839622C2211yescharacteristic
35#16839619C2211yescharacteristic
36#16839619C2211yescharacteristic
37#16839619C2211yescharacteristic
38#16839619C2211yescharacteristic
39#16839617—21no—
40#16839617—21no—
41C22⋊C4×Dic61—21no—
42C22⋊C4×Dic61—21no—
43#16839609—21no—
44#16839609—21no—
45#16839525C2211yescharacteristic, complemented
46#16839525C2211yescharacteristic, complemented
47#16839525C2211yescharacteristic, complemented
48#16839524C2211yescharacteristic, complemented
49#16839524C2211yescharacteristic, complemented
50#16839524C2211yescharacteristic, complemented
51#16839524C2211yescharacteristic, complemented
52#16839524C2211yescharacteristic, complemented
53#16839524C2211yescharacteristic, complemented
54C2×#106×C61C2211yescharacteristic, complemented
55C2×C22⋊C8×C61C2211yescharacteristic
56C61×#380C2211yescharacteristic
57C61×#380C2211yescharacteristic
58C61×#340C2211yescharacteristic, complemented
59C61×#340C2211yescharacteristic, complemented
60C61×#340C2211yescharacteristic, complemented
61C24×D61D411yescharacteristic
62C23×Dic61D411yescharacteristic
63C22×C4×D61—22no—
64C22×C4×D61—22no—
65C22×C4×D61—22no—
66C22×C4×D61—22no—
67C22×C4×D61—22no—
68C22×C4×D61—22no—
69C22×C4×D61D411yescharacteristic
70C22×C4×D61D411yescharacteristic
71C22×C4×D61C2311yescharacteristic
72C22×C4×D61C2311yescharacteristic
73C22×#92418C2311yescharacteristic
74C22×#92418C2311yescharacteristic
75C2×C8×D61—22no—
76C2×C8×D61—22no—
77C2×C8×D61—22no—
78C2×C8×D61—22no—
79C2×C8×D61—22no—
80C2×C8×D61D414yes—
81#14519735—22no—
82#14519735—22no—
83#14519735—22no—
84#14519735—22no—
85#14519735—22no—
86#14519735—22no—
87#14519735—22no—
88#14519735—22no—
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C22⋊Dic61—21no—
94C2×C22⋊Dic61—21no—
95C2×#11758198—21no—
96C2×#11758198—21no—
97C2×#11758198—21no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×C4×Dic61—21no—
104C2×C4×Dic61—21no—
105C2×C4×Dic61—21no—
106C2×C4×Dic61—21no—
107#14519710—22no—
108#14519710—22no—
109#14519709—22no—
110C22⋊#92418—22no—
111#14519689—22no—
112#14519689—22no—
113#14519684—21no—
114#14519684—21no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118#14519684—21no—
119C23×C4×C61C2311yescharacteristic
120C22×C8×C61C2311yescharacteristic
121C22×C8×C61C2311yescharacteristic
122C2×C4⋊C4×C61C2311yescharacteristic
123C2×C4⋊C4×C61C2311yescharacteristic
124C2×C4⋊C4×C61C2311yescharacteristic
125C2×C4⋊C4×C61C2311yescharacteristic
126C2×C22⋊C4×C61—21no—
127C2×C22⋊C4×C61—21no—
128#106×C61—22no—
129C22⋊C8×C61—22no—
130#95×C61—21no—
131#95×C61—21no—
132C24×C61C2×D411yescharacteristic
133C23×D61—22no—
134C23×D61—22no—
135C23×D61—22no—
136C23×D61—22no—
137C23×D61—22no—
138C23×D61—41no—
139C23×D61—41no—
140C23×D61C2×D411yescharacteristic
141C23×D61C2×D411yescharacteristic
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2411yescharacteristic
154C22×Dic61—22no—
155C22×Dic61—22no—
156C22×Dic61—22no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61C2×D411yescharacteristic
162C22×Dic61C2×D411yescharacteristic
163C2×C4×D61—22no—
164C2×C4×D61—22no—
165C2×C4×D61—22no—
166C2×C4×D61—21no—
167C2×C4×D61—21no—
168C2×C4×D61—21no—
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—22no—
173C2×C4×D61—22no—
174C2×C4×D61—22no—
175C2×C4×D61—44no—
176C2×C4×D61—44no—
177C2×C4×D61—44no—
178C2×C4×D61—44no—
179C2×C4×D61C2×D412yes—
180C2×C4×D61#4112yes—
181C2×C4×D61#4112yes—
182C2×C4×D61#4112yes—
183C2×C4×D61#4112yes—
184C2×C4×D61#4112yes—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61C2×D412yes—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C22⋊C4×C61—42no—
200C22⋊C4×C61—42no—
201C22⋊Dic61—42no—
202C22⋊Dic61—42no—
203#11758198—42no—
204#11758198—42no—
205#11758198—42no—
206#11758198—42no—
207#11758198—42no—
208#11758198—42no—
209#11758198—42no—
210#11758198—42no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4×Dic61—42no—
220C4×Dic61—42no—
221C4×Dic61—42no—
222C4×Dic61—42no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418C2×D412yes—
229C8×D61—28no—
230C8×D61—44no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61#13512yes—
238C23×C61C22×D411yescharacteristic
239C22×D61—21no—
240C22×D61—21no—
241C22×D61—21no—
242C22×D61—21no—
243C22×D61—28no—
244C22×D61—21no—
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—44no—
251C22×D61—44no—
252C22×D61—44no—
253C22×D61—44no—
254C22×D61—44no—
255C22×D61—44no—
256C22×D61#12112yes—
257C22×D61#12312yes—
258C22×D61#12312yes—
259C22×D61#13512yes—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61C22×D411yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—44no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61#12112yes—
302C2×Dic61#12312yes—
303C2×Dic61#12312yes—
304C4×D61—44no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—41no—
308C4×D61—41no—
309C4×D61—44no—
310C4×D61#12314yes—
311C4×D61#12414yes—
312C4×D61#12614yes—
313C4×D61#12614yes—
314C8×C61—22no—
315C8×C61—41no—
316#92418—22no—
317#92418—41no—
318#23638—611nomaximal, Sylow
319C22×C61—22no—
320C22×C61—22no—
321C22×C61—22no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61C2×#12111yescharacteristic
327C22×C61C2×#12311yescharacteristic
328C22×C61C2×#12311yescharacteristic
329C22×C61C2×#13511yescharacteristic
330C22×C61C2×#13511yescharacteristic
331C22×C61#57511yescharacteristic
332C22×C61#57511yescharacteristic
333C2×D61—22no—
334C2×D61—22no—
335C2×D61—22no—
336C2×D61—22no—
337C2×D61—22no—
338C2×D61—22no—
339C2×D61—22no—
340C2×D61—22no—
341C2×D61—22no—
342C2×D61—416no—
343C2×D61—41no—
344C2×D61—41no—
345C2×D61—41no—
346C2×D61—41no—
347C2×D61#39714yes—
348C4×C61—41no—
349C4×C61—81no—
350C4×C61—81no—
351C4×C61—81no—
352C4×C61—81no—
353C4×C61C2×#12311yescharacteristic
354C4×C61C2×#12411yescharacteristic
355C4×C61C2×#12611yescharacteristic
356C4×C61C2×#12611yescharacteristic
357Dic61—41no—
358Dic61—81no—
359Dic61—81no—
360Dic61—81no—
361Dic61—81no—
362Dic61#39714yes—
363C2×#427—611no—
364C22×C22⋊C8—611no—
365#2280—611no—
366#2280—611no—
367#2077—611no—
368#2077—611no—
369#2077—611no—
370#2077D6111yescharacteristic, complemented
371#2076—611no—
372#2076—611no—
373#2075—611no—
374#2075—611no—
375#1735—611no—
376#1735—611no—
377#1735—611no—
378C2×C61—42no—
379C2×C61C2×#39711yescharacteristic
380C2×C61#305011yescharacteristic
381C2×C61#305411yescharacteristic
382C2×C61#309111yescharacteristic
383C2×C61#309111yescharacteristic
384C2×C61#309111yescharacteristic
385C2×C61#309111yescharacteristic
386D61—24no—
387D61—42no—
388C24×C4—611no—
389C23×C8—611no—
390C23×C8—611no—
391C2×#117—611no—
392C2×#117—611no—
393C2×#117—611no—
394C2×#117—611no—
395#427—1224no—
396C2×#107—611no—
397C2×#107—611no—
398C2×#106—611no—
399C2×#106C2×D6111yescharacteristic, complemented
400C2×C22⋊C8—611no—
401C2×C22⋊C8—611no—
402C2×C22⋊C8—611no—
403C2×C22⋊C8—1224no—
404C2×C22⋊C8C2×D6111yescharacteristic
405#381—1221no—
406#381—1221no—
407#380—611no—
408#380—611no—
409#380—611no—
410#380—611no—
411#380—611no—
412#380—611no—
413#380C2×D6111yescharacteristic
414#380C2×D6111yescharacteristic
415#379—1221no—
416#379—1221no—
417C4×C22⋊C4—1221no—
418C4×C22⋊C4—1221no—
419C4×C22⋊C4—1221no—
420C4×C22⋊C4—1221no—
421#340—611no—
422#340—611no—
423#340—611no—
424#340—611no—
425#340—611no—
426#340—611no—
427#340—611no—
428#340—611no—
429#340—611no—
430#340C2×D6111yescharacteristic, complemented
431#340C2×D6111yescharacteristic, complemented
432#340C2×D6111yescharacteristic, complemented
433C61#2363811yescharacteristic, complemented, Sylow
434C25—611no—
435C23×C4—611no—
436C23×C4—611no—
437C23×C4—611no—
438C23×C4—611no—
439C23×C4—611no—
440C23×C4—1222no—
441C23×C4—1222no—
442C23×C4—1222no—
443C23×C4—1222no—
444C23×C4—1222no—
445C23×C4—1222no—
446C23×C4C22×D6111yescharacteristic
447C22×C8—611no—
448C22×C8—614no—
449C22×C8—611no—
450C22×C8—1222no—
451C22×C8—1222no—
452C22×C8—1222no—
453C22×C8—1222no—
454C22×C8—1222no—
455C22×C8C22×D6111yescharacteristic
456C22×C8C22×D6111yescharacteristic
457#117—1222no—
458#117—1222no—
459#117—1222no—
460#117—1222no—
461#117—1222no—
462#117—1222no—
463#117—1222no—
464#117—1222no—
465C2×C4⋊C4—611no—
466C2×C4⋊C4—611no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4—611no—
469C2×C4⋊C4C22×D6111yescharacteristic
470C2×C4⋊C4C22×D6111yescharacteristic
471C2×C4⋊C4C22×D6111yescharacteristic
472C2×C4⋊C4C22×D6111yescharacteristic
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C22⋊C4—1221no—
481C2×C22⋊C4—1221no—
482C2×C22⋊C4—1221no—
483C2×C22⋊C4—1221no—
484C2×C22⋊C4—1221no—
485C2×C42—1221no—
486C2×C42—1221no—
487C2×C42—1221no—
488C2×C42—1221no—
489#107—1222no—
490#107—1222no—
491#106—22no—
492#106—1222no—
493C22⋊C8—22no—
494C22⋊C8—1222no—
495C22⋊C8—1222no—
496C22⋊C8—1222no—
497#95—21no—
498#95—21no—
499#95—1221no—
500#95—1221no—
501#95—1221no—
502#95—1221no—
503#95—1221no—
504#95—1221no—
505C24—611no—
506C24—611no—
507C24—1222no—
508C24—1222no—
509C24—1222no—
510C24—1222no—
511C24—1222no—
512C24—2441no—
513C24—2441no—
514C24D4×D6111yescharacteristic
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—611no—
526C22×C4—612no—
527C22×C4—612no—
528C22×C4—612no—
529C22×C4—612no—
530C22×C4—612no—
531C22×C4—612no—
532C22×C4—611no—
533C22×C4—1222no—
534C22×C4—1222no—
535C22×C4—1222no—
536C22×C4—1222no—
537C22×C4—1222no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1222no—
541C22×C4—1222no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4—1221no—
550C22×C4—1221no—
551C22×C4—1221no—
552C22×C4—2444no—
553C22×C4—2444no—
554C22×C4—2444no—
555C22×C4—2444no—
556C22×C4D4×D6111yescharacteristic
557C22×C4C23×D6111yescharacteristic
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—612no—
564C2×C8—1228no—
565C2×C8—1221no—
566C2×C8—1221no—
567C2×C8—1221no—
568C2×C8—1221no—
569C2×C8—1221no—
570C2×C8—2444no—
571C2×C8D4×D6112yes—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—1221no—
583C4⋊C4—1221no—
584C4⋊C4—1221no—
585C4⋊C4—1221no—
586C4⋊C4—1221no—
587C4⋊C4—1221no—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C22⋊C4—2442no—
591C22⋊C4—2442no—
592C22⋊C4—2442no—
593C22⋊C4—2442no—
594C22⋊C4—2442no—
595C22⋊C4—2442no—
596C22⋊C4—2442no—
597C22⋊C4—2442no—
598C22⋊C4—2442no—
599C22⋊C4—2442no—
600C42—2442no—
601C42—2442no—
602C42—2442no—
603C42—2442no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—612no—
611C23—612no—
612C23—612no—
613C23—612no—
614C23—1228no—
615C23—1221no—
616C23—1221no—
617C23—1221no—
618C23—1221no—
619C23—1221no—
620C23—1221no—
621C23—1221no—
622C23—1221no—
623C23—1221no—
624C23—1221no—
625C23—2444no—
626C23—2444no—
627C23—2444no—
628C23—2444no—
629C23—2444no—
630C23—2444no—
631C23#1451979812yes—
632C23C2×D4×D6111yescharacteristic
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
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—612no—
653C2×C4—612no—
654C2×C4—612no—
655C2×C4—614no—
656C2×C4—614no—
657C2×C4—614no—
658C2×C4—614no—
659C2×C4—1221no—
660C2×C4—1221no—
661C2×C4—1221no—
662C2×C4—2444no—
663C2×C4—2444no—
664C2×C4—2444no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4C2×D4×D6111yescharacteristic
682C2×C4#41×D6111yescharacteristic
683C2×C4#41×D6111yescharacteristic
684C2×C4#41×D6111yescharacteristic
685C2×C4#41×D6111yescharacteristic
686C2×C4#41×D6111yescharacteristic
687C8—22no—
688C8—41no—
689C8—1222no—
690C8—2441no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22—41no—
698C22—614no—
699C22—1222no—
700C22—1222no—
701C22—1222no—
702C22—1222no—
703C22—1222no—
704C22—1222no—
705C22—1222no—
706C22—1222no—
707C22—1222no—
708C22—24416no—
709C22—2441no—
710C22—2441no—
711C22—2441no—
712C22—2441no—
713C22#121×D6111yescharacteristic
714C22#123×D6111yescharacteristic
715C22#123×D6111yescharacteristic
716C22#135×D6111yescharacteristic
717C22C2×#1451979811yescharacteristic
718C22#1684055811yescharacteristic
719C22#1684056111yescharacteristic
720C4—41no—
721C4—81no—
722C4—81no—
723C4—81no—
724C4—81no—
725C4—614no—
726C4—4881no—
727C4—4881no—
728C4—4881no—
729C4—4881no—
730C4—2441no—
731C4#123×D6111yescharacteristic
732C4#124×D6111yescharacteristic
733C4#126×D6111yescharacteristic
734C4#126×D6111yescharacteristic
735C2—42no—
736C2—1224no—
737C2—2442no—
738C2#397×D6111yescharacteristic
739C2#2145539511yescharacteristic
740C2#2145542311yescharacteristic
741C2#2145572911yescharacteristic
742C2#2145573111yescharacteristic
743C2#2145573311yescharacteristic
744C2#2145573711yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2077C2
socleC23×C61C22×D4
prime radicalC24×D61D4
hypercenter#2077D61
hypocenterC61#23638
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ #2077

Complements

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

NH ≅ G/Ntype
1. C2×#16839797C2semidirect
5. #21447254C2semidirect
6. #21447253C2semidirect
7. #21447252C2semidirect
8. #21447251C2semidirect
9. #21447250C2semidirect
10. #21447246C2semidirect
11. #21447245C2semidirect
12. #21445534C2semidirect
13. #21445534C2semidirect
14. #21445534C2semidirect
15. C61×#2077C2semidirect
24. C2×#14519710C22semidirect
25. C2×#14519710C22semidirect
26. C2×#14519709C22semidirect
45. #16839525C22semidirect
46. #16839525C22semidirect
47. #16839525C22semidirect
48. #16839524C22semidirect
49. #16839524C22semidirect
50. #16839524C22semidirect
51. #16839524C22semidirect
52. #16839524C22semidirect
53. #16839524C22semidirect
54. C2×#106×C61C22semidirect
58. C61×#340C22semidirect
59. C61×#340C22semidirect
60. C61×#340C22semidirect
370. #2077D61semidirect
399. C2×#106C2×D61semidirect
430. #340C2×D61semidirect
431. #340C2×D61semidirect
432. #340C2×D61semidirect
433. C61#23638semidirect

Maximal subgroups

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

subgroupindex
C2×#168397972
C2×C22⋊C8×D612
#214482012
#214472542
#214472532
#214472522
#214472512
#214472502
#214472462
#214472452
#214455342
C61×#20772
#2363861