Finite Group Databasebeta

← #29656068

Subgroups — #29656068

Order 15616.

946 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
1#21456401C211yesmaximal, characteristic, complemented
2#21455827C211yesmaximal, characteristic, complemented
3#21455607C211yesmaximal, characteristic, complemented
4#21445075C211yesmaximal, characteristic, complemented
5#21445054C211yesmaximal, characteristic, complemented
6#21445047C211yesmaximal, characteristic, complemented
7#21445026C211yesmaximal, characteristic, complemented
8#21444991C211yesmaximal, characteristic, complemented
9#21444970C211yesmaximal, characteristic, complemented
10#21444964C211yesmaximal, characteristic, complemented
11#21444953C211yesmaximal, characteristic, complemented
12#21444476C211yesmaximal, characteristic, complemented
13#21444201C211yesmaximal, characteristic, complemented
14C2×D4⋊#92418C211yesmaximal, characteristic, complemented
15C61×#3475C211yesmaximal, characteristic
16#16840319C2211yescharacteristic
17#16840165C2211yescharacteristic, complemented
18#16840141C2211yescharacteristic, complemented
19#16840114C2211yescharacteristic, complemented
20#16840112C2211yescharacteristic, complemented
21#16840092—21no—
22#16840069—21no—
23#16840062—21no—
24#16840057C2211yescharacteristic, complemented
25#16840052C2211yescharacteristic
26#16840052C2211yescharacteristic
27#16840052C2211yescharacteristic, complemented
28#16840047C2211yescharacteristic, complemented
29#16840042C2211yescharacteristic, complemented
30#16840001—22no—
31#16839967C2211yescharacteristic
32#16839967C2211yescharacteristic
33#16839913—21no—
34C4×#11758202—22no—
35C4×#11758200—21no—
36C4×#11758200—21no—
37#16839815C2211yescharacteristic
38#16839798—21no—
39C2×C4⋊#92418C2211yescharacteristic
40#16839758—21no—
41C2×C4×#92418C2211yescharacteristic
42#16839511C2211yescharacteristic, complemented
43#16839511C2211yescharacteristic, complemented
44#16839508C2211yescharacteristic, complemented
45#16839508C2211yescharacteristic, complemented
46Q8⋊#92418C2211yescharacteristic, complemented
47Q8⋊#92418C2211yescharacteristic, complemented
48D4⋊#92418C2211yescharacteristic
49D4⋊#92418C2211yescharacteristic
50D4⋊#92418C2211yescharacteristic
51D4⋊#92418C2211yescharacteristic
52D4⋊#92418C2211yescharacteristic, complemented
53D4⋊#92418C2211yescharacteristic, complemented
54C61×#556C2211yescharacteristic
55C61×#555C2211yescharacteristic
56C61×#554C2211yescharacteristic
57C61×#553—21no—
58C61×#552—21no—
59C61×#552—21no—
60C61×#551—22no—
61C61×#547C2211yescharacteristic
62C61×#546—21no—
63C61×#533C2211yescharacteristic
64C61×#529—22no—
65C61×#529—21no—
66C61×#525—21no—
67C4×#41×C61—21no—
68C4×#41×C61C2211yescharacteristic
69C2×C4×D4×C61C2211yescharacteristic
70C2×#117×C61—21no—
71C2×#11758202—22no—
72C2×#11758200—21no—
73C2×#11758200—21no—
74C22×#92418—21no—
75C22×#92418—21no—
76#14519777C2311yescharacteristic
77#14519777C2311yescharacteristic
78#14519769—21no—
79#14519756—21no—
80#14519756—21no—
81C4×Dic122—21no—
82C4×Dic122—21no—
83#14519736—21no—
84#14519710—22no—
85#14519710—21no—
86#14519710—21no—
87#14519708—21no—
88#14519708—21no—
89#14519708—21no—
90#14519708—21no—
91C4⋊#92418—21no—
92C4⋊#92418C2311yescharacteristic
93C4⋊#92418C2311yescharacteristic
94C4⋊#92418C2311yescharacteristic
95C4⋊#92418C2311yescharacteristic
96#14519701—22no—
97#14519701—21no—
98#14519701—21no—
99#14519700—21no—
100#14519700—21no—
101#14519700—22no—
102#14519698—21no—
103#14519698—21no—
104#14519698—21no—
105#14519698—21no—
106C22⋊#92418—21no—
107C4×#92418—21no—
108C4×#92418—21no—
109C4×#92418C2311yescharacteristic
110C4×#92418C2311yescharacteristic
111C2×#41×C61—21no—
112C2×#41×C61D411yescharacteristic
113C22×D4×C61D411yescharacteristic
114C23×C4×C61—21no—
115C4⋊Q8×C61C2311yescharacteristic
116C4⋊Q8×C61C2311yescharacteristic
117#126×C61—22no—
118#126×C61—22no—
119#126×C61—22no—
120#125×C61—22no—
121#125×C61—21no—
122#125×C61—21no—
123#124×C61—22no—
124#124×C61—21no—
125#123×C61—22no—
126#123×C61—22no—
127#123×C61—22no—
128#123×C61—22no—
129C22⋊Q8×C61—22no—
130C22⋊Q8×C61—21no—
131C22⋊Q8×C61—21no—
132C22⋊Q8×C61—21no—
133C22⋊Q8×C61—21no—
134C22⋊Q8×C61D412yes—
135#121×C61—22no—
136#121×C61—21no—
137#121×C61—21no—
138#121×C61—21no—
139#120×C61—22no—
140C4×Q8×C61—21no—
141C4×Q8×C61—21no—
142C4×Q8×C61D412yes—
143C4×Q8×C61D411yescharacteristic
144C4×Q8×C61C2311yescharacteristic
145C4×D4×C61—22no—
146C4×D4×C61—22no—
147C4×D4×C61—22no—
148C4×D4×C61—21no—
149C4×D4×C61—21no—
150C4×D4×C61—21no—
151C4×D4×C61—21no—
152C4×D4×C61—21no—
153C4×D4×C61D411yescharacteristic
154C4×D4×C61D411yescharacteristic
155C4×D4×C61D411yescharacteristic
156C4×D4×C61C2311yescharacteristic
157C4×D4×C61C2311yescharacteristic
158C4×D4×C61C2311yescharacteristic
159#117×C61—22no—
160#117×C61—22no—
161#117×C61—22no—
162#117×C61—21no—
163#117×C61—21no—
164#117×C61—21no—
165#117×C61—21no—
166#117×C61—21no—
167#117×C61D411yescharacteristic
168C2×C4⋊C4×C61—21no—
169C2×C4⋊C4×C61—21no—
170C2×C4⋊C4×C61D411yescharacteristic
171C2×C22⋊C4×C61—22no—
172C2×C22⋊C4×C61—21no—
173C2×C42×C61—22no—
174C2×C42×C61—21no—
175C2×C42×C61C2311yescharacteristic
176C24×C61—21no—
177#41×C61—22no—
178#41×C61—22no—
179#41×C61—42no—
180#41×C61—42no—
181C2×Q8×C61—21no—
182C2×Q8×C61C2×D411yescharacteristic
183C2×Q8×C61C2×D412yes—
184C2×D4×C61—22no—
185C2×D4×C61—22no—
186C2×D4×C61—21no—
187C2×D4×C61—22no—
188C2×D4×C61—21no—
189C2×D4×C61—41no—
190C2×D4×C61C2×D411yescharacteristic
191C2×D4×C61C2×D411yescharacteristic
192C2×D4×C61C2×D411yescharacteristic
193C22×C4×C61—22no—
194C22×C4×C61—21no—
195C22×C4×C61—22no—
196C22×C4×C61—21no—
197C22×C4×C61—21no—
198C22×C4×C61—21no—
199C22×C4×C61—21no—
200C22×C4×C61—21no—
201C22×C4×C61—21no—
202C22×C4×C61—21no—
203C22×C4×C61—42no—
204C22×C4×C61—42no—
205C22×C4×C61C2×D411yescharacteristic
206C22×C4×C61C2×D411yescharacteristic
207C22×C4×C61C2×D411yescharacteristic
208C2×Dic122—21no—
209C2×Dic122—21no—
210C4⋊C4×C61—22no—
211C4⋊C4×C61—22no—
212C4⋊C4×C61—22no—
213C4⋊C4×C61—22no—
214C4⋊C4×C61—21no—
215C4⋊C4×C61—22no—
216C4⋊C4×C61—21no—
217C4⋊C4×C61—22no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61—21no—
221C4⋊C4×C61—21no—
222C4⋊C4×C61C2×D411yescharacteristic
223C4⋊C4×C61C2×D411yescharacteristic
224C4⋊C4×C61C2×D411yescharacteristic
225C4⋊C4×C61C2×D411yescharacteristic
226C4⋊C4×C61C2×D412yes—
227C22⋊C4×C61—22no—
228C22⋊C4×C61—22no—
229C22⋊C4×C61—22no—
230C22⋊C4×C61—22no—
231C22⋊C4×C61—22no—
232C22⋊C4×C61—22no—
233C22⋊C4×C61—21no—
234C22⋊C4×C61—22no—
235C22⋊C4×C61—21no—
236C22⋊C4×C61—21no—
237C22⋊C4×C61—21no—
238C22⋊C4×C61—21no—
239C22⋊C4×C61—21no—
240C22⋊C4×C61—21no—
241C42×C61—22no—
242C42×C61—22no—
243C42×C61—21no—
244C42×C61—22no—
245C42×C61—21no—
246C42×C61—21no—
247C42×C61C2×D411yescharacteristic
248C42×C61C2×D411yescharacteristic
249C42×C61C2×D411yescharacteristic
250C42×C61C2411yescharacteristic
251C22⋊Dic61—41no—
252#11758202—44no—
253#11758200—42no—
254#11758200—42no—
255C4⋊Dic61—21no—
256C4⋊Dic61—21no—
257C4⋊Dic61—21no—
258C4⋊Dic61—21no—
259#11758196—41no—
260#11758196—41no—
261C4×Dic61—41no—
262C2×#92418—21no—
263C2×#92418—21no—
264C2×#92418—21no—
265C2×#92418—21no—
266C2×#92418—21no—
267C2×#92418—21no—
268C2×#92418—42no—
269C2×#92418—42no—
270C23×C61—21no—
271C23×C61—21no—
272C23×C61—21no—
273C23×C61—42no—
274C23×C61—42no—
275C23×C61—81no—
276C23×C61#12011yescharacteristic
277Q8×C61—21no—
278Q8×C61—21no—
279Q8×C61—42no—
280Q8×C61—41no—
281Q8×C61—41no—
282D4×C61—21no—
283D4×C61—21no—
284D4×C61—21no—
285D4×C61—21no—
286D4×C61—21no—
287D4×C61—42no—
288D4×C61—44no—
289D4×C61—42no—
290D4×C61—82no—
291D4×C61#13512yes—
292C2×C4×C61—21no—
293C2×C4×C61—21no—
294C2×C4×C61—21no—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—21no—
298C2×C4×C61—22no—
299C2×C4×C61—22no—
300C2×C4×C61—21no—
301C2×C4×C61—41no—
302C2×C4×C61—44no—
303C2×C4×C61—42no—
304C2×C4×C61—41no—
305C2×C4×C61—41no—
306C2×C4×C61—41no—
307C2×C4×C61—41no—
308C2×C4×C61—41no—
309C2×C4×C61—41no—
310C2×C4×C61—42no—
311C2×C4×C61—42no—
312C2×C4×C61—42no—
313C2×C4×C61—81no—
314C2×C4×C61—82no—
315C2×C4×C61#12011yescharacteristic
316C2×C4×C61#12011yescharacteristic
317C2×C4×C61#12011yescharacteristic
318C2×C4×C61#13512yes—
319C2×C4×C61#13712yes—
320C2×C4×C61C22×D411yescharacteristic
321C2×C4×C61C22×D411yescharacteristic
322C2×C4×C61C22×D411yescharacteristic
323C2×Dic61—41no—
324C2×Dic61—41no—
325Dic122—42no—
326Dic122—41no—
327Dic122—41no—
328#92418—22no—
329#92418—41no—
330#92418—41no—
331#92418—41no—
332#92418—41no—
333#92418—41no—
334#18523—611nomaximal, Sylow
335C22×C61—21no—
336C22×C61—21no—
337C22×C61—22no—
338C22×C61—41no—
339C22×C61—41no—
340C22×C61—41no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61—41no—
344C22×C61—41no—
345C22×C61—41no—
346C22×C61—84no—
347C22×C61#45212yes—
348C22×C61C2×#12011yescharacteristic
349C4×C61—21no—
350C4×C61—21no—
351C4×C61—21no—
352C4×C61—41no—
353C4×C61—41no—
354C4×C61—41no—
355C4×C61—41no—
356C4×C61—42no—
357C4×C61—41no—
358C4×C61—42no—
359C4×C61#45212yes—
360C4×C61C2×#13511yescharacteristic
361C4×C61C2×#13511yescharacteristic
362C4×C61C2×#13711yescharacteristic
363C4×C61#57511yescharacteristic
364Dic61—81no—
365Dic61—81no—
366#3475D6111yescharacteristic
367#3170—611no—
368#3101—611no—
369#3076—611no—
370#1650—611no—
371#1647—611no—
372#1646—611no—
373#1643—611no—
374#1638—611no—
375#1635—611no—
376#1634—611no—
377#1632—611no—
378#1542—611no—
379#1476—611no—
380C2×D4⋊C8—611no—
381C2×C61—22no—
382C2×C61—42no—
383C2×C61—81no—
384C2×C61—81no—
385C2×C61C2×#45211yescharacteristic
386C2×C61#300211yescharacteristic
387C2×C61#301811yescharacteristic
388#556C2×D6111yescharacteristic
389#555C2×D6111yescharacteristic
390#554C2×D6111yescharacteristic
391#553—21no—
392#552—21no—
393#552—21no—
394#551—22no—
395#547C2×D6111yescharacteristic
396#546—21no—
397#533—611no—
398#533C2×D6111yescharacteristic
399#529—22no—
400#529—21no—
401#525—21no—
402C4×#41—21no—
403C4×#41C2×D6111yescharacteristic
404C2×C4×D4C2×D6111yescharacteristic
405C2×#117—21no—
406#500—611no—
407#494—611no—
408#487—611no—
409#487—611no—
410#483—1221no—
411#479—1221no—
412#478—1221no—
413#477—611no—
414#476—611no—
415#476—611no—
416#476—611no—
417#475—611no—
418#474—611no—
419#467—1222no—
420#461—611no—
421#461—611no—
422#450—1221no—
423C4×Q16—1222no—
424C4×SD16—1221no—
425C4×SD16—1221no—
426#431—611no—
427#427—1221no—
428C2×C4⋊C8—611no—
429#416—1221no—
430C2×C4×C8—611no—
431#333—611no—
432#333—611no—
433#332—611no—
434#332—611no—
435Q8⋊C8—611no—
436Q8⋊C8—611no—
437D4⋊C8—611no—
438D4⋊C8—611no—
439D4⋊C8—611no—
440D4⋊C8—611no—
441D4⋊C8—611no—
442D4⋊C8—611no—
443C61#1852311yescharacteristic, complemented, Sylow
444C2×#41—21no—
445C2×#41C22⋊D6111yescharacteristic
446C22×D4C22⋊D6111yescharacteristic
447C23×C4—21no—
448C2×Q16—1222no—
449C2×SD16—1221no—
450C2×SD16—1221no—
451C22×C8—1221no—
452C22×C8—1221no—
453C4⋊Q8—611no—
454C4⋊Q8—611no—
455C4⋊Q8C22×D6111yescharacteristic
456C4⋊Q8C22×D6111yescharacteristic
457#126—22no—
458#126—22no—
459#126—22no—
460#125—22no—
461#125—21no—
462#125—21no—
463#125—1221no—
464#124—22no—
465#124—21no—
466#123—22no—
467#123—22no—
468#123—22no—
469#123—22no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8—22no—
473C22⋊Q8—21no—
474C22⋊Q8—21no—
475C22⋊Q8—1221no—
476C22⋊Q8—1221no—
477C22⋊Q8C22⋊D6112yes—
478#121—22no—
479#121—21no—
480#121—21no—
481#121—21no—
482#120—22no—
483C4×Q8—21no—
484C4×Q8—21no—
485C4×Q8—1221no—
486C4×Q8—1221no—
487C4×Q8C22⋊D6111yescharacteristic
488C4×Q8C22⋊D6112yes—
489C4×Q8C22×D6111yescharacteristic
490C4×D4—22no—
491C4×D4—22no—
492C4×D4—22no—
493C4×D4—21no—
494C4×D4—21no—
495C4×D4—21no—
496C4×D4—21no—
497C4×D4—21no—
498C4×D4C22⋊D6111yescharacteristic
499C4×D4C22⋊D6111yescharacteristic
500C4×D4C22⋊D6111yescharacteristic
501C4×D4C22×D6111yescharacteristic
502C4×D4C22×D6111yescharacteristic
503C4×D4C22×D6111yescharacteristic
504#117—22no—
505#117—22no—
506#117—22no—
507#117—21no—
508#117—21no—
509#117—21no—
510#117—21no—
511#117—21no—
512#117—1221no—
513#117C22⋊D6111yescharacteristic
514C2×C4⋊C4—21no—
515C2×C4⋊C4—21no—
516C2×C4⋊C4C22⋊D6111yescharacteristic
517C2×C22⋊C4—22no—
518C2×C22⋊C4—21no—
519C2×C42—22no—
520C2×C42—21no—
521C2×C42C22×D6111yescharacteristic
522#107—1221no—
523#107—1221no—
524#107—1222no—
525#106—1221no—
526#106—1221no—
527#106—1221no—
528#106—1221no—
529C4⋊C8—611no—
530C4⋊C8—611no—
531C4⋊C8—611no—
532C4⋊C8—611no—
533C4⋊C8—1221no—
534#103—1221no—
535#103—1221no—
536#103—1222no—
537#103—1221no—
538#103—1221no—
539#103—1222no—
540#102—1221no—
541#102—1221no—
542#102—1221no—
543#102—1221no—
544C22⋊C8—1221no—
545C4×C8—611no—
546C4×C8—611no—
547C4×C8—1221no—
548C4×C8—1221no—
549C24—21no—
550#41—22no—
551#41—22no—
552#41—42no—
553#41—42no—
554C2×Q8—21no—
555C2×Q8—1221no—
556C2×Q8—1221no—
557C2×Q8C2×C22⋊D6111yescharacteristic
558C2×Q8C2×C22⋊D6112yes—
559C2×D4—22no—
560C2×D4—22no—
561C2×D4—21no—
562C2×D4—22no—
563C2×D4—21no—
564C2×D4—41no—
565C2×D4C2×C22⋊D6111yescharacteristic
566C2×D4C2×C22⋊D6111yescharacteristic
567C2×D4C2×C22⋊D6111yescharacteristic
568C22×C4—22no—
569C22×C4—21no—
570C22×C4—22no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—21no—
575C22×C4—21no—
576C22×C4—21no—
577C22×C4—21no—
578C22×C4—42no—
579C22×C4—42no—
580C22×C4C2×C22⋊D6111yescharacteristic
581C22×C4C2×C22⋊D6111yescharacteristic
582C22×C4C2×C22⋊D6111yescharacteristic
583Q16—2444no—
584SD16—2442no—
585SD16—2442no—
586C2×C8—1221no—
587C2×C8—1221no—
588C2×C8—1221no—
589C2×C8—1221no—
590C2×C8—1221no—
591C2×C8—1221no—
592C2×C8—2442no—
593C2×C8—2442no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—22no—
597C4⋊C4—22no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—21no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—22no—
604C4⋊C4—21no—
605C4⋊C4—22no—
606C4⋊C4—1221no—
607C4⋊C4—1221no—
608C4⋊C4—1221no—
609C4⋊C4—1221no—
610C4⋊C4—2441no—
611C4⋊C4—2441no—
612C4⋊C4C2×C22⋊D6111yescharacteristic
613C4⋊C4C2×C22⋊D6111yescharacteristic
614C4⋊C4C2×C22⋊D6112yes—
615C4⋊C4C2×C22⋊D6111yescharacteristic
616C4⋊C4C2×C22⋊D6111yescharacteristic
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—22no—
623C22⋊C4—21no—
624C22⋊C4—22no—
625C22⋊C4—21no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—21no—
630C22⋊C4—21no—
631C22⋊C4—2441no—
632C42—22no—
633C42—22no—
634C42—21no—
635C42—21no—
636C42—21no—
637C42—22no—
638C42—2441no—
639C42C2×C22⋊D6111yescharacteristic
640C42C2×C22⋊D6111yescharacteristic
641C42C2×C22⋊D6111yescharacteristic
642C42C23×D6111yescharacteristic
643C23—21no—
644C23—21no—
645C23—21no—
646C23—42no—
647C23—42no—
648C23—81no—
649C23#1451974611yescharacteristic
650Q8—21no—
651Q8—21no—
652Q8—42no—
653Q8—41no—
654Q8—41no—
655Q8—2442no—
656Q8—2441no—
657Q8—2441no—
658D4—21no—
659D4—21no—
660D4—21no—
661D4—21no—
662D4—21no—
663D4—42no—
664D4—44no—
665D4—42no—
666D4—82no—
667D4#1451979712yes—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—22no—
674C2×C4—21no—
675C2×C4—22no—
676C2×C4—21no—
677C2×C4—41no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—81no—
690C2×C4—82no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4#1451974611yescharacteristic
694C2×C4#1451974611yescharacteristic
695C2×C4#1451974611yescharacteristic
696C2×C4#1451979712yes—
697C2×C4#1451980712yes—
698C2×C4C22×C22⋊D6111yescharacteristic
699C2×C4C22×C22⋊D6111yescharacteristic
700C2×C4C22×C22⋊D6111yescharacteristic
701C8—1222no—
702C8—2441no—
703C8—2441no—
704C8—2441no—
705C8—2441no—
706C8—2441no—
707C22—21no—
708C22—21no—
709C22—22no—
710C22—41no—
711C22—41no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—84no—
719C22#1683992412yes—
720C22C2×#1451974611yescharacteristic
721C4—21no—
722C4—21no—
723C4—21no—
724C4—41no—
725C4—42no—
726C4—41no—
727C4—41no—
728C4—41no—
729C4—41no—
730C4—42no—
731C4—4881no—
732C4—4881no—
733C4#1683992412yes—
734C4C2×#1451979711yescharacteristic
735C4C2×#1451979711yescharacteristic
736C4C2×#1451980711yescharacteristic
737C4#1684056011yescharacteristic
738C2—22no—
739C2—42no—
740C2—81no—
741C2—81no—
742C2C2×#1683992411yescharacteristic
743C2#2145503711yescharacteristic
744C2#2145516811yescharacteristic
subgroupG/H
centerC2×C4#14519746
commutator, cosocleC42×C61C24
FrattiniC42C23×D61
Fitting, prime radicalC61×#3475C2
socleC22×C61C2×#120
hypercenter#3475D61
hypocenterC61#18523
LCSG ▷ C42×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3475

Complements

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

NH ≅ G/Ntype
1. #21456401C2semidirect
2. #21455827C2semidirect
3. #21455607C2semidirect
4. #21445075C2semidirect
5. #21445054C2semidirect
6. #21445047C2semidirect
7. #21445026C2semidirect
8. #21444991C2semidirect
9. #21444970C2semidirect
10. #21444964C2semidirect
11. #21444953C2semidirect
12. #21444476C2semidirect
13. #21444201C2semidirect
14. C2×D4⋊#92418C2semidirect
17. #16840165C22semidirect
18. #16840141C22semidirect
19. #16840114C22semidirect
20. #16840112C22semidirect
24. #16840057C22semidirect
27. #16840052C22semidirect
28. #16840047C22semidirect
29. #16840042C22semidirect
42. #16839511C22semidirect
43. #16839511C22semidirect
44. #16839508C22semidirect
45. #16839508C22semidirect
46. Q8⋊#92418C22semidirect
47. Q8⋊#92418C22semidirect
52. D4⋊#92418C22semidirect
53. D4⋊#92418C22semidirect
443. C61#18523semidirect

Maximal subgroups

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

subgroupindex
#214564012
#214558272
#214556072
#214450752
#214450542
#214450472
#214450262
#214449912
#214449702
#214449642
#214449532
#214444762
#214442012
C2×D4⋊#924182
C61×#34752
#1852361