Finite Group Databasebeta

← #29716195

Subgroups — #29716195

Order 15616.

1068 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840390C211yesmaximal, characteristic, complemented
2C2×#16840063C211yesmaximal, characteristic, complemented
3C2×#16840053C211yesmaximal, characteristic, complemented
4#21448512C211yesmaximal, characteristic
5#21447158C211yesmaximal, characteristic, complemented
6#21447153C211yesmaximal, characteristic, complemented
7#21446966C211yesmaximal, characteristic, complemented
8#21446956C211yesmaximal, characteristic, complemented
9#21446774C211yesmaximal, characteristic, complemented
10#21446770C211yesmaximal, characteristic, complemented
11#21446139C211yesmaximal, characteristic
12#21446134C211yesmaximal, characteristic
13#21446020C211yesmaximal, characteristic, complemented
14#21446014C211yesmaximal, characteristic, complemented
15C61×#1798C211yesmaximal, characteristic, complemented
16#16840390—24no—
17#16840390—24no—
18C2×#14519777C2211yescharacteristic
19C2×#14519777C2211yescharacteristic
20C2×#14519776—21no—
21C2×#14519769C2211yescharacteristic
22C2×#14519769C2211yescharacteristic
23C2×#14519768—21no—
24C2×#14519754—21no—
25C2×#14519754—21no—
26C2×#14519751C2211yescharacteristic
27C2×C4×D244C2211yescharacteristic
28C2×#14519736C2211yescharacteristic
29C22×C4⋊Dic61C2211yescharacteristic
30#16840063—24no—
31#16840053—24no—
32C2×#14519711C2211yescharacteristic
33C2×#14519709C2211yescharacteristic
34C2×#14519709C2211yescharacteristic
35C2×#14519709C2211yescharacteristic
36C2×#14519699C2211yescharacteristic
37C2×#14519699C2211yescharacteristic
38C2×#14519699C2211yescharacteristic
39C2×#14519699C2211yescharacteristic
40#16839664C2211yescharacteristic
41#16839662—21no—
42#16839660C2211yescharacteristic
43#16839652—21no—
44#16839638—21no—
45#16839633—21no—
46#16839622C2211yescharacteristic
47C4×C4⋊Dic61C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53#16839525C2211yescharacteristic
54#16839525C2211yescharacteristic
55#16839525C2211yescharacteristic
56C2×#117×C61C2211yescharacteristic
57C2×C4⋊C8×C61C2211yescharacteristic
58C2×C4⋊C8×C61C2211yescharacteristic
59C2×C22⋊C8×C61C2211yescharacteristic
60C2×C22⋊C8×C61C2211yescharacteristic
61C61×#336C2211yescharacteristic
62C61×#336C2211yescharacteristic
63C22×Dic122—21no—
64C22×Dic122—21no—
65C22×D244C2311yescharacteristic
66C22×C22⋊D61—21no—
67C23×Dic61—21no—
68C22×C4×D61—21no—
69#14519777—22no—
70#14519777—22no—
71#14519777—22no—
72#14519777D414yescomplemented
73#14519776—28no—
74#14519769—22no—
75#14519769—22no—
76#14519769—22no—
77#14519769D414yescomplemented
78#14519768—28no—
79#14519754—28no—
80#14519754—28no—
81#14519751—22no—
82#14519751Q814yescomplemented
83C4×D244—22no—
84C4×D244—22no—
85#14519736—22no—
86#14519736—22no—
87C2×C4⋊Dic61—21no—
88C2×C4⋊Dic61—21no—
89C2×C4⋊Dic61—21no—
90C2×C4⋊Dic61—22no—
91C2×C4⋊Dic61—22no—
92C2×C4⋊Dic61C2311yescharacteristic
93C2×C4⋊Dic61C2311yescharacteristic
94C2×C4⋊Dic61C2311yescharacteristic
95C2×C4⋊Dic61C2311yescharacteristic
96C2×C4⋊Dic61C2311yescharacteristic
97C2×C4⋊Dic61C2311yescharacteristic
98C2×C4⋊Dic61C2311yescharacteristic
99C2×#11758196—21no—
100C2×#11758196—21no—
101C2×#11758196—21no—
102C2×#11758196—21no—
103C2×#11758196—21no—
104C2×C22⋊Dic61—21no—
105C2×C22⋊Dic61—21no—
106C2×#11758198—21no—
107C2×#11758198—21no—
108C2×#11758198—21no—
109C2×#11758198—21no—
110C2×C4×Dic61—21no—
111C2×C4×Dic61—21no—
112#14519711—22no—
113#14519709—22no—
114#14519709—22no—
115#14519709—22no—
116#14519699—22no—
117#14519699—22no—
118#14519699—22no—
119#14519699—22no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123C23×C4×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C22×C8×C61C2311yescharacteristic
127C22×C8×C61C2311yescharacteristic
128#117×C61—22no—
129#117×C61—22no—
130C2×C4⋊C4×C61D411yescharacteristic
131C2×C4⋊C4×C61D411yescharacteristic
132C2×C22⋊C4×C61D411yescharacteristic
133C2×C22⋊C4×C61D411yescharacteristic
134C2×C42×C61C2311yescharacteristic
135C2×C42×C61C2311yescharacteristic
136C4⋊C8×C61—22no—
137C4⋊C8×C61—22no—
138C22⋊C8×C61—22no—
139C22⋊C8×C61—22no—
140C24×C61C2×D411yescharacteristic
141C23×D61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61C2×D411yescharacteristic
147C22×C4×C61C2×D411yescharacteristic
148C22×C4×C61C2×D411yescharacteristic
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2×Q812yes—
152C22×C4×C61#4112yes—
153C22×C4×C61C2411yescharacteristic
154C2×C22⋊D61—24no—
155C2×C22⋊D61—81no—
156C2×C22⋊D61—81no—
157C22×Dic61—21no—
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—21no—
162C22×Dic61—24no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—81no—
166C22×Dic61—81no—
167C2×D244—21no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244C2×Q812yes—
173C2×C4×D61—42no—
174C2×C4×D61—81no—
175C2×C4×D61—81no—
176C2×Dic122—24no—
177C2×Dic122—24no—
178C2×Dic122—81no—
179C2×Dic122—81no—
180C2×Dic122—81no—
181C2×Dic122—81no—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C2×C8×C61—21no—
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C4⋊C4×C61—22no—
195C4⋊C4×C61—22no—
196C22⋊C4×C61—22no—
197C22⋊C4×C61—22no—
198C42×C61—21no—
199C42×C61—21no—
200C42×C61C2×D412yes—
201C42×C61C2×D412yes—
202C22⋊Dic61—24no—
203C22⋊Dic61—81no—
204#11758198—24no—
205#11758198—42no—
206#11758198—81no—
207#11758198—81no—
208C4⋊Dic61—24no—
209C4⋊Dic61—24no—
210C4⋊Dic61—24no—
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—21no—
220C4⋊Dic61C2×D412yes—
221C4⋊Dic61C2×D412yes—
222C4⋊Dic61C2×D412yes—
223C4⋊Dic61C2×D412yes—
224C4⋊Dic61C2×Q812yes—
225#11758196—24no—
226#11758196—24no—
227#11758196—24no—
228#11758196—24no—
229#11758196—81no—
230C4×Dic61—24no—
231C4×Dic61—81no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61C22⋊Q812yes—
239C23×C61C22×D411yescharacteristic
240C22×D61—22no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—22no—
254C2×C4×C61—22no—
255C2×C4×C61—22no—
256C2×C4×C61—22no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61#12012yes—
264C2×C4×C61#12012yes—
265C2×C4×C61C22⋊Q812yes—
266C2×C4×C61C22×D411yescharacteristic
267C2×C4×C61C22×D411yescharacteristic
268C2×C4×C61C22×Q811yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C612−1+411yescharacteristic
271C2×C4×C612−1+411yescharacteristic
272C22⋊D61—84no—
273C2×Dic61—22no—
274C2×Dic61—22no—
275C2×Dic61—22no—
276C2×Dic61—22no—
277C2×Dic61—22no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—84no—
295D244—22no—
296D244—22no—
297D244—41no—
298D244—41no—
299C4×D61—84no—
300Dic122—84no—
301Dic122—84no—
302C8×C61—41no—
303C8×C61—41no—
304C8×C61—41no—
305C8×C61—41no—
306#24309—611nomaximal, Sylow
307C22×C61—22no—
308C22×C61—22no—
309C22×C61—22no—
310C22×C61—41no—
311C22×C61—41no—
312C22×C61—41no—
313C22×C61—41no—
314C22×C61C2×#12011yescharacteristic
315C22×C61C2×C22⋊Q811yescharacteristic
316C22×C61#53611yescharacteristic
317C22×C61#57611yescharacteristic
318C22×C61#57711yescharacteristic
319C22×C61#57711yescharacteristic
320C22×C61#57711yescharacteristic
321C2×D61—42no—
322C2×D61—42no—
323C2×D61—42no—
324C2×D61—81no—
325C2×D61—81no—
326C2×D61—81no—
327C2×D61—81no—
328C4×C61—22no—
329C4×C61—22no—
330C4×C61—22no—
331C4×C61—41no—
332C4×C61—41no—
333C4×C61#54811yescharacteristic
334C4×C61#54811yescharacteristic
335C4×C61D4×Q811yescharacteristic
336C4×C61D4×Q811yescharacteristic
337Dic61—42no—
338Dic61—42no—
339Dic61—42no—
340Dic61—42no—
341Dic61—42no—
342Dic61—81no—
343Dic61—81no—
344C2×#544—611no—
345C2×#478—611no—
346C2×#476—611no—
347#2324—611no—
348#2059—611no—
349#2058—611no—
350#2025—611no—
351#2023—611no—
352#1989—611no—
353#1988—611no—
354#1875—611no—
355#1874—611no—
356#1854—611no—
357#1853—611no—
358#1798D6111yescharacteristic, complemented
359C2×C61—42no—
360C2×C61#240911yescharacteristic
361C2×C61#301011yescharacteristic
362C2×C61#301211yescharacteristic
363C2×C61#308111yescharacteristic
364C2×C61#308411yescharacteristic
365C2×C61#324111yescharacteristic
366C2×C61#324411yescharacteristic
367D61—82no—
368#544—1224no—
369#544—1224no—
370C2×C4⋊Q8—611no—
371C2×C4⋊Q8—611no—
372C2×C4⋊Q8—1221no—
373C2×#125—611no—
374C2×#125—611no—
375C2×#125—1221no—
376C2×C22⋊Q8—1221no—
377C2×C22⋊Q8—1221no—
378C2×#121—611no—
379C2×C4×D4—611no—
380C2×#117—611no—
381C2×#117C2×D6111yescharacteristic
382C22×C4⋊C4—611no—
383#478—1224no—
384#476—1224no—
385C2×#107—611no—
386C2×#106—611no—
387C2×#106—611no—
388C2×#106—611no—
389C2×C4⋊C8C2×D6111yescharacteristic
390C2×C4⋊C8C2×D6111yescharacteristic
391C2×#102—611no—
392C2×#102—611no—
393C2×#102—611no—
394C2×#102—611no—
395C2×C22⋊C8C2×D6111yescharacteristic
396C2×C22⋊C8C2×D6111yescharacteristic
397#390—611no—
398#390—1221no—
399#389—611no—
400#388—1221no—
401#386—1221no—
402#385—1221no—
403#380—611no—
404C4×C4⋊C4—611no—
405#340—611no—
406#340—611no—
407#340—611no—
408#340—611no—
409#340—611no—
410#340—611no—
411#340—611no—
412#340—611no—
413#336C2×D6111yescharacteristic
414#336C2×D6111yescharacteristic
415C61#2430911yescharacteristic, complemented, Sylow
416C22×Q8—1221no—
417C22×Q8—1221no—
418C22×D4—611no—
419C22×D4—1221no—
420C23×C4—1221no—
421C23×C4—1221no—
422C23×C4C22×D6111yescharacteristic
423C22×C8C22×D6111yescharacteristic
424C22×C8C22×D6111yescharacteristic
425C22×C8C22×D6111yescharacteristic
426C22×C8C22×D6111yescharacteristic
427C4⋊Q8—614no—
428C4⋊Q8—1222no—
429C4⋊Q8—1222no—
430C4⋊Q8—1228no—
431C4⋊Q8—1222no—
432#125—614no—
433#125—1222no—
434#125—1222no—
435#125—1228no—
436#125—1222no—
437C22⋊Q8—1228no—
438C22⋊Q8—1228no—
439#121—614no—
440#121—1222no—
441C4×D4—1222no—
442C4×D4—1222no—
443#117—22no—
444#117—22no—
445#117—1222no—
446#117—1222no—
447C2×C4⋊C4—611no—
448C2×C4⋊C4—611no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—1222no—
455C2×C4⋊C4—1222no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C4⋊C4D24411yescharacteristic
465C2×C4⋊C4D24411yescharacteristic
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4D24411yescharacteristic
473C2×C22⋊C4D24411yescharacteristic
474C2×C42—1221no—
475C2×C42—1221no—
476C2×C42C22×D6111yescharacteristic
477C2×C42C22×D6111yescharacteristic
478#107—1222no—
479#106—1222no—
480#106—1222no—
481#106—1222no—
482C4⋊C8—22no—
483C4⋊C8—22no—
484#102—1222no—
485#102—1222no—
486#102—1222no—
487#102—1222no—
488C22⋊C8—22no—
489C22⋊C8—22no—
490#95—1221no—
491#95—1221no—
492#95—1221no—
493C24—1221no—
494C24C2×D24411yescharacteristic
495C2×Q8—1224no—
496C2×Q8—1224no—
497C2×Q8—4881no—
498C2×Q8—4881no—
499C2×Q8—4881no—
500C2×Q8—4881no—
501C2×D4—612no—
502C2×D4—1224no—
503C2×D4—1221no—
504C2×D4—1221no—
505C2×D4—1221no—
506C2×D4—1221no—
507C2×D4—1221no—
508C2×D4—4881no—
509C2×D4—4881no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—1224no—
515C22×C4—1221no—
516C22×C4—1221no—
517C22×C4—1221no—
518C22×C4—1221no—
519C22×C4—1221no—
520C22×C4—1221no—
521C22×C4—1221no—
522C22×C4—4881no—
523C22×C4—4881no—
524C22×C4—4881no—
525C22×C4—4881no—
526C22×C4—2442no—
527C22×C4C2×D24411yescharacteristic
528C22×C4C2×D24411yescharacteristic
529C22×C4C2×D24411yescharacteristic
530C22×C4C2×D24411yescharacteristic
531C22×C4C2×D24411yescharacteristic
532C22×C4#1175822412yes—
533C22×C4Q8×D6112yes—
534C22×C4C23×D6111yescharacteristic
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—612no—
550C4⋊C4—612no—
551C4⋊C4—612no—
552C4⋊C4—612no—
553C4⋊C4—612no—
554C4⋊C4—1224no—
555C4⋊C4—1224no—
556C4⋊C4—1224no—
557C4⋊C4—1224no—
558C4⋊C4—1221no—
559C4⋊C4—1221no—
560C4⋊C4—1221no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—1224no—
564C4⋊C4—1224no—
565C4⋊C4—1224no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—4881no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—1224no—
574C22⋊C4—1224no—
575C22⋊C4—4881no—
576C22⋊C4—4881no—
577C22⋊C4—4881no—
578C22⋊C4—2442no—
579C42—21no—
580C42—21no—
581C42—1224no—
582C42—4881no—
583C42D4×D6112yes—
584C42D4×D6112yes—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—1222no—
592C23—2441no—
593C23—2441no—
594C23—2441no—
595C23—2441no—
596C23—2441no—
597C23—2441no—
598C23#1451975712yes—
599C23C22×D24411yescharacteristic
600Q8—4884no—
601Q8—4884no—
602D4—1222no—
603D4—1222no—
604D4—4884no—
605D4—2441no—
606D4—2441no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—1222no—
624C2×C4—1222no—
625C2×C4—1222no—
626C2×C4—1222no—
627C2×C4—1222no—
628C2×C4—4884no—
629C2×C4—4884no—
630C2×C4—2441no—
631C2×C4—2441no—
632C2×C4—2441no—
633C2×C4—2441no—
634C2×C4—2441no—
635C2×C4—2441no—
636C2×C4—2441no—
637C2×C4—2441no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4#1451974712yes—
647C2×C4#1451974712yes—
648C2×C4#1451975712yes—
649C2×C4C2×D4×D6111yescharacteristic
650C2×C4C2×D4×D6111yescharacteristic
651C2×C4C2×Q8×D6111yescharacteristic
652C2×C4C2×#1175822411yescharacteristic
653C2×C4#1451982411yescharacteristic
654C2×C4#1451982411yescharacteristic
655C8—41no—
656C8—41no—
657C8—41no—
658C8—41no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—41no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—4881no—
667C22—4881no—
668C22—4881no—
669C22—4881no—
670C22—2442no—
671C22—2442no—
672C22—2442no—
673C22C2×#1451974711yescharacteristic
674C22C2×#1451975711yescharacteristic
675C22#1684033811yescharacteristic
676C22#1684056711yescharacteristic
677C22#1684057411yescharacteristic
678C22#1684057411yescharacteristic
679C22#1684057411yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—41no—
684C4—41no—
685C4—4881no—
686C4—4881no—
687C4—2442no—
688C4—2442no—
689C4—2442no—
690C4—2442no—
691C4—2442no—
692C4#1684041811yescharacteristic
693C4#1684041811yescharacteristic
694C4#1684042511yescharacteristic
695C4#1684042511yescharacteristic
696C2—42no—
697C2—4882no—
698C2#2144918511yescharacteristic
699C2#2145510711yescharacteristic
700C2#2145512611yescharacteristic
701C2#2145565111yescharacteristic
702C2#2145568311yescharacteristic
703C2#2145707411yescharacteristic
704C2#2145711911yescharacteristic
subgroupG/H
centerC23C22×D244
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#1798C2
socleC23×C61C22×D4
prime radicalC2×#14519751C22
hypercenter#1798D61
hypocenterC61#24309
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#117 ◁ #1798

Complements

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

NH ≅ G/Ntype
1. C2×#16840390C2semidirect
2. C2×#16840063C2semidirect
3. C2×#16840053C2semidirect
5. #21447158C2semidirect
6. #21447153C2semidirect
7. #21446966C2semidirect
8. #21446956C2semidirect
9. #21446774C2semidirect
10. #21446770C2semidirect
13. #21446020C2semidirect
14. #21446014C2semidirect
15. C61×#1798C2semidirect
72. #14519777D4semidirect
77. #14519769D4semidirect
82. #14519751Q8semidirect
358. #1798D61semidirect
415. C61#24309semidirect

Maximal subgroups

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

subgroupindex
C2×#168403902
C2×#168400632
C2×#168400532
#214485122
#214471582
#214471532
#214469662
#214469562
#214467742
#214467702
#214461392
#214461342
#214460202
#214460142
C61×#17982
#2430961