Finite Group Databasebeta

← #29708643

Subgroups — #29708643

Order 15616.

1102 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#107×D61C211yesmaximal, characteristic, complemented
2C2×#16839787C211yesmaximal, characteristic, complemented
3C2×#16839760C211yesmaximal, characteristic
4C2×#16839755C211yesmaximal, characteristic
5#21448434C211yesmaximal, characteristic, complemented
6#21448409C211yesmaximal, characteristic
7#21447215C211yesmaximal, characteristic, complemented
8#21447213C211yesmaximal, characteristic, complemented
9#21447211C211yesmaximal, characteristic, complemented
10#21447209C211yesmaximal, characteristic, complemented
11#21447207C211yesmaximal, characteristic, complemented
12#21447205C211yesmaximal, characteristic, complemented
13#21447203C211yesmaximal, characteristic, complemented
14#21445537C211yesmaximal, characteristic, complemented
15C61×#2067C211yesmaximal, characteristic, complemented
16C22×#11758224C2211yescharacteristic
17C22×#11758189C2211yescharacteristic
18C22×C8×D61C2211yescharacteristic
19C2×#14519735C2211yescharacteristic
20C2×#14519734C2211yescharacteristic
21C2×C4⋊C4×D61C2211yescharacteristic
22C2×C4⋊C4×D61C2211yescharacteristic
23C2×#14519711C2211yescharacteristic
24C2×#14519710C2211yescharacteristic
25C2×#14519710C2211yescharacteristic
26#107×D61—24no—
27#16839787—24no—
28C2×C4⋊#92418C2211yescharacteristic
29C2×#14519706C2211yescharacteristic
30C2×#14519706C2211yescharacteristic
31#16839760—24no—
32#16839755—24no—
33C2×#14519702C2211yescharacteristic
34C2×#14519702C2211yescharacteristic
35C2×#14519700C2211yescharacteristic
36C2×#14519700C2211yescharacteristic
37C2×#14519698C2211yescharacteristic
38C2×#14519698C2211yescharacteristic
39#16839668C2211yescharacteristic
40#16839667C2211yescharacteristic
41#16839665C2211yescharacteristic
42#16839661C2211yescharacteristic
43#16839660C2211yescharacteristic
44#16839659—21no—
45#16839658C2211yescharacteristic
46#16839657—21no—
47#16839638—21no—
48#16839638—21no—
49#16839621—21no—
50#16839620—21no—
51#16839620—21no—
52#16839619—21no—
53#16839525C2211yescharacteristic
54#16839524C2211yescharacteristic
55#16839524C2211yescharacteristic
56C2×#107×C61C2211yescharacteristic
57C2×C4⋊C8×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C2×#102×C61C2211yescharacteristic
60C61×#390C2211yescharacteristic
61C61×#389C2211yescharacteristic
62C61×#340C2211yescharacteristic
63C2×#11758224—22no—
64C2×#11758224—22no—
65C2×#11758224—22no—
66C2×#11758224—22no—
67C2×#11758224—22no—
68C2×#11758224Q814yes—
69C22×Dic122C2311yescharacteristic
70C22×C22⋊D61—21no—
71C23×Dic61—21no—
72C22×C4×D61—21no—
73C22×C4×D61—21no—
74C22×C4×D61C2311yescharacteristic
75C2×#11758189—22no—
76C2×#11758189—22no—
77C2×#11758189—22no—
78C22×#92418C2311yescharacteristic
79C22×#92418C2311yescharacteristic
80C2×C8×D61—22no—
81C2×C8×D61—22no—
82C2×C8×D61D414yes—
83#14519735—22no—
84#14519735—22no—
85#14519734—22no—
86#14519734—22no—
87C2×C4⋊Dic61—21no—
88C2×C4⋊Dic61C2311yescharacteristic
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×#11758196—21no—
92C2×#11758196—21no—
93C2×#11758196—21no—
94C2×#11758196—21no—
95C2×#11758196D411yescharacteristic
96C2×#11758196D411yescharacteristic
97C4⋊C4×D61—22no—
98C4⋊C4×D61—22no—
99C4⋊C4×D61—22no—
100C4⋊C4×D61D414yes—
101C2×C22⋊Dic61—21no—
102C2×C22⋊Dic61—21no—
103C2×#11758198—21no—
104C2×#11758198D411yescharacteristic
105C2×#11758198D411yescharacteristic
106C2×C4×Dic61—21no—
107C2×C4×Dic61C2311yescharacteristic
108#14519711—22no—
109#14519710—22no—
110#14519710—22no—
111C4⋊#92418—22no—
112#14519706—22no—
113#14519706—22no—
114#14519702—22no—
115#14519702—22no—
116#14519700—22no—
117#14519700—22no—
118#14519698—22no—
119#14519698—22no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123#14519684—21no—
124#14519684—21no—
125#14519684—21no—
126#14519684—21no—
127C22×D4×C61C2311yescharacteristic
128C22×C8×C61C2311yescharacteristic
129C22×C8×C61C2311yescharacteristic
130C2×C4⋊C4×C61—21no—
131C2×C4⋊C4×C61C2311yescharacteristic
132C2×C4⋊C4×C61C2311yescharacteristic
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C22⋊C4×C61—21no—
135C2×C22⋊C4×C61—21no—
136C2×C42×C61C2311yescharacteristic
137#107×C61—22no—
138C4⋊C8×C61—22no—
139#102×C61—22no—
140#102×C61—22no—
141#95×C61—21no—
142C24×C61—21no—
143C23×D61C2×D411yescharacteristic
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61C2×Q812yes—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2411yescharacteristic
156C2×C22⋊D61—24no—
157C2×C22⋊D61—42no—
158C2×C22⋊D61—42no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61—24no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61—42no—
165C22×Dic61—42no—
166C22×Dic61C2×D411yescharacteristic
167C22×Dic61C2×D411yescharacteristic
168C22×Dic61C2×D411yescharacteristic
169#11758224—28no—
170#11758224—28no—
171#11758224—44no—
172#11758224—44no—
173C2×C4×D61—24no—
174C2×C4×D61—42no—
175C2×C4×D61—81no—
176C2×C4×D61—81no—
177C2×C4×D61—81no—
178C2×C4×D61—81no—
179C2×C4×D61C2×D412yes—
180C2×C4×D61C2×D412yes—
181C2×C4×D61C2×Q812yes—
182C2×C4×D61#4112yes—
183C2×C4×D61#4112yes—
184C2×C4×D61#4112yes—
185C2×Dic122—21no—
186C2×Dic122—21no—
187C2×Dic122—21no—
188C2×Dic122—21no—
189C2×Dic122—21no—
190C2×Dic122C2×Q812yes—
191C2×C8×C61—21no—
192C2×C8×C61—21no—
193C2×C8×C61—21no—
194C2×C8×C61—21no—
195C2×C8×C61—21no—
196C2×C8×C61C2×D412yes—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—21no—
202C4⋊C4×C61—81no—
203C4⋊C4×C61C2×D412yes—
204C22⋊C4×C61—81no—
205C22⋊C4×C61—81no—
206C42×C61—21no—
207C42×C61—21no—
208C22⋊Dic61—81no—
209C22⋊Dic61—81no—
210#11758198—22no—
211#11758198—22no—
212#11758198—42no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—81no—
219C4⋊Dic61C2×D412yes—
220#11758196—24no—
221#11758196—22no—
222#11758196—22no—
223#11758196—42no—
224#11758196—81no—
225#11758196—81no—
226C4×Dic61—21no—
227C4×Dic61—21no—
228C4×Dic61—42no—
229C2×#92418—21no—
230C2×#92418—21no—
231C2×#92418—21no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418C2×D412yes—
235#11758189—44no—
236C8×D61—28no—
237C23×C61—22no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61C22×D411yescharacteristic
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61#12112yes—
250C22×D61#12112yes—
251C22×D61C22⋊Q812yes—
252D4×C61—22no—
253D4×C61—22no—
254D4×C61—41no—
255D4×C61—41no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—22no—
259C2×C4×C61—21no—
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×C61C22×D411yescharacteristic
272C2×C4×C61C22×D411yescharacteristic
273C2×C4×C61C22×Q811yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×C4×C61C2×#4111yescharacteristic
277C22⋊D61—48no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—22no—
281C2×Dic61—22no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—48no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61#12112yes—
298C2×Dic61#12112yes—
299C2×Dic61C22⋊Q812yes—
300C4×D61—84no—
301C4×D61—84no—
302C4×D61#12114yes—
303C4×D61C22⋊Q814yes—
304C4×D61C22⋊Q814yes—
305C4×D61#12614yes—
306Dic122—22no—
307Dic122—22no—
308Dic122—41no—
309Dic122—41no—
310C8×C61—22no—
311C8×C61—41no—
312#92418—22no—
313#92418—41no—
314#23611—611nomaximal, Sylow
315C22×C61—42no—
316C22×C61—42no—
317C22×C61—42no—
318C22×C61—81no—
319C22×C61—81no—
320C22×C61—81no—
321C22×C61—81no—
322C22×C61C2×#12111yescharacteristic
323C22×C61C2×#12111yescharacteristic
324C22×C61C2×C22⋊Q811yescharacteristic
325C22×C61#57611yescharacteristic
326C22×C61#57611yescharacteristic
327C22×C61#57811yescharacteristic
328C22×C61#57811yescharacteristic
329C2×D61—22no—
330C2×D61—22no—
331C2×D61—22no—
332C2×D61—22no—
333C2×D61—22no—
334C2×D61—22no—
335C2×D61#39614yes—
336C4×C61—42no—
337C4×C61—41no—
338C4×C61—41no—
339C4×C61—81no—
340C4×C61—81no—
341C4×C61C2×#12111yescharacteristic
342C4×C61C2×C22⋊Q811yescharacteristic
343C4×C61C2×C22⋊Q811yescharacteristic
344C4×C61C2×#12611yescharacteristic
345Dic61—42no—
346Dic61—42no—
347Dic61—41no—
348Dic61—41no—
349Dic61—81no—
350Dic61—81no—
351Dic61#39614yes—
352C22×#107—611no—
353C2×#424—611no—
354C2×#417—611no—
355C2×#416—611no—
356#2316—611no—
357#2311—611no—
358#2068—611no—
359#2068—611no—
360#2068—611no—
361#2068—611no—
362#2067—611no—
363#2067—611no—
364#2067—611no—
365#2067D6111yescharacteristic, complemented
366#1736—611no—
367C2×C61—82no—
368C2×C61C2×#39611yescharacteristic
369C2×C61#304111yescharacteristic
370C2×C61#304411yescharacteristic
371C2×C61#306111yescharacteristic
372C2×C61#306111yescharacteristic
373C2×C61#308311yescharacteristic
374C2×C61#308311yescharacteristic
375D61—24no—
376C22×#41—611no—
377C22×M16—611no—
378C23×C8—611no—
379C2×#117—611no—
380C2×#117—611no—
381C22×C4⋊C4—611no—
382C22×C4⋊C4—611no—
383C2×#107—611no—
384C2×#107—611no—
385C2×#107—611no—
386C2×#107—1224no—
387C2×#107C2×D6111yescharacteristic
388#424—1224no—
389C2×C4⋊C8—611no—
390C2×C4⋊C8—611no—
391C2×C4⋊C8—611no—
392C2×C4⋊C8C2×D6111yescharacteristic
393#417—1224no—
394#416—1224no—
395C2×#103—611no—
396C2×#103—611no—
397C2×#103—611no—
398C2×#103—611no—
399C2×#102—611no—
400C2×#102—611no—
401C2×#102C2×D6111yescharacteristic
402C2×#102C2×D6111yescharacteristic
403#391—611no—
404#391—611no—
405#390—611no—
406#390C2×D6111yescharacteristic
407#389—611no—
408#389—611no—
409#389—611no—
410#389—1221no—
411#389—1221no—
412#389C2×D6111yescharacteristic
413#386—1221no—
414#386—1221no—
415#380—1221no—
416#380—1221no—
417#380—1221no—
418#380—1221no—
419#340—611no—
420#340—611no—
421#340—611no—
422#340C2×D6111yescharacteristic
423C61#2361111yescharacteristic, complemented, Sylow
424C2×#41—614no—
425C2×#41—1222no—
426C2×#41—1222no—
427C2×#41—1222no—
428C2×#41—1222no—
429C2×#41—1222no—
430C22×Q8—611no—
431C22×D4—1221no—
432C22×D4C22×D6111yescharacteristic
433C23×C4—611no—
434C23×C4—1221no—
435C23×C4—1221no—
436C23×C4—1221no—
437C2×M16—1222no—
438C2×M16—1222no—
439C2×M16—1222no—
440C22×C8—611no—
441C22×C8—614no—
442C22×C8—611no—
443C22×C8—1222no—
444C22×C8—1222no—
445C22×C8C22×D6111yescharacteristic
446C22×C8C22×D6111yescharacteristic
447#117—1222no—
448#117—1222no—
449#117—1222no—
450#117—1222no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—614no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—1222no—
459C2×C4⋊C4—1222no—
460C2×C4⋊C4—1222no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4C22×D6111yescharacteristic
467C2×C4⋊C4C22×D6111yescharacteristic
468C2×C4⋊C4C22×D6111yescharacteristic
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—611no—
472C2×C22⋊C4—611no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C42—611no—
477C2×C42—1221no—
478C2×C42C22×D6111yescharacteristic
479#107—22no—
480#107—1222no—
481#107—1222no—
482#107—1222no—
483C4⋊C8—22no—
484C4⋊C8—1222no—
485C4⋊C8—1222no—
486C4⋊C8—1222no—
487#103—1222no—
488#103—1222no—
489#103—1222no—
490#103—1222no—
491#102—22no—
492#102—22no—
493#102—1222no—
494#102—1222no—
495#95—21no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499#95—1221no—
500#95—1221no—
501#95—1221no—
502#95—1221no—
503C24—21no—
504C24—611no—
505#41—1228no—
506#41—1228no—
507#41—2444no—
508#41—2444no—
509C2×Q8—612no—
510C2×Q8—1221no—
511C2×Q8—1221no—
512C2×Q8—1221no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—1224no—
521C2×D4—2442no—
522C2×D4—2442no—
523C2×D4Q8×D6112yes—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—611no—
528C22×C4—612no—
529C22×C4—612no—
530C22×C4—612no—
531C22×C4—612no—
532C22×C4—612no—
533C22×C4—612no—
534C22×C4—611no—
535C22×C4—611no—
536C22×C4—1224no—
537C22×C4—1224no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—4881no—
543C22×C4—4881no—
544C22×C4—4881no—
545C22×C4—4881no—
546C22×C4—2442no—
547C22×C4—2442no—
548C22×C4—2442no—
549C22×C4D4×D6111yescharacteristic
550C22×C4D4×D6111yescharacteristic
551C22×C4C23×D6111yescharacteristic
552M16—2444no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—612no—
559C2×C8—1228no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1221no—
565C2×C8D4×D6112yes—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—81no—
572C4⋊C4—612no—
573C4⋊C4—1224no—
574C4⋊C4—1222no—
575C4⋊C4—1222no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—4881no—
582C4⋊C4—4881no—
583C4⋊C4—4881no—
584C4⋊C4—2442no—
585C4⋊C4D4×D6112yes—
586C22⋊C4—81no—
587C22⋊C4—81no—
588C22⋊C4—1222no—
589C22⋊C4—1222no—
590C22⋊C4—4881no—
591C22⋊C4—4881no—
592C22⋊C4—2442no—
593C42—21no—
594C42—21no—
595C42—1221no—
596C42—1221no—
597C42—2442no—
598C23—22no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—612no—
606C23—612no—
607C23—612no—
608C23—1221no—
609C23—1221no—
610C23—1221no—
611C23—1221no—
612C23C2×D4×D6111yescharacteristic
613Q8—1222no—
614Q8—1222no—
615Q8—2441no—
616Q8—2441no—
617D4—22no—
618D4—22no—
619D4—41no—
620D4—41no—
621D4—2448no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—612no—
638C2×C4—612no—
639C2×C4—612no—
640C2×C4—614no—
641C2×C4—614no—
642C2×C4—614no—
643C2×C4—614no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1222no—
647C2×C4—1222no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—4884no—
653C2×C4—4884no—
654C2×C4—2448no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4C2×D4×D6111yescharacteristic
666C2×C4C2×D4×D6111yescharacteristic
667C2×C4C2×Q8×D6111yescharacteristic
668C2×C4#41×D6111yescharacteristic
669C2×C4#41×D6111yescharacteristic
670C2×C4#41×D6111yescharacteristic
671C8—22no—
672C8—41no—
673C8—1222no—
674C8—2441no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—81no—
679C22—81no—
680C22—81no—
681C22—81no—
682C22—614no—
683C22—1222no—
684C22—1222no—
685C22—1222no—
686C22—1222no—
687C22—1222no—
688C22—1222no—
689C22#121×D6111yescharacteristic
690C22#121×D6111yescharacteristic
691C22C22⋊Q8×D6111yescharacteristic
692C22#1684056311yescharacteristic
693C22#1684056611yescharacteristic
694C22#1684057611yescharacteristic
695C22#1684057811yescharacteristic
696C4—41no—
697C4—41no—
698C4—42no—
699C4—81no—
700C4—81no—
701C4—614no—
702C4—4881no—
703C4—4881no—
704C4—2442no—
705C4—2441no—
706C4—2441no—
707C4—2442no—
708C4#121×D6111yescharacteristic
709C4C22⋊Q8×D6111yescharacteristic
710C4C22⋊Q8×D6111yescharacteristic
711C4#126×D6111yescharacteristic
712C2—82no—
713C2—1224no—
714C2#396×D6111yescharacteristic
715C2#2145531711yescharacteristic
716C2#2145534711yescharacteristic
717C2#2145548411yescharacteristic
718C2#2145548711yescharacteristic
719C2#2145566511yescharacteristic
720C2#2145567111yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2067C2
socleC23×C61C22×D4
prime radicalC22×#11758224C22
hypercenter#2067D61
hypocenterC61#23611
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2067

Complements

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

NH ≅ G/Ntype
1. C2×#107×D61C2semidirect
2. C2×#16839787C2semidirect
5. #21448434C2semidirect
7. #21447215C2semidirect
8. #21447213C2semidirect
9. #21447211C2semidirect
10. #21447209C2semidirect
11. #21447207C2semidirect
12. #21447205C2semidirect
13. #21447203C2semidirect
14. #21445537C2semidirect
15. C61×#2067C2semidirect
365. #2067D61semidirect
423. C61#23611semidirect

Maximal subgroups

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

subgroupindex
C2×#107×D612
C2×#168397872
C2×#168397602
C2×#168397552
#214484342
#214484092
#214472152
#214472132
#214472112
#214472092
#214472072
#214472052
#214472032
#214455372
C61×#20672
#2361161