Finite Group Databasebeta

← #29699486

Subgroups — #29699486

Order 15616.

740 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454485C211yesmaximal, characteristic, complemented
2#21454387C211yesmaximal, characteristic, complemented
3#21446532C211yesmaximal, characteristic, complemented
4#21446525C211yesmaximal, characteristic, complemented
5#21446420C211yesmaximal, characteristic, complemented
6#21446420C211yesmaximal, characteristic, complemented
7#21446148C211yesmaximal, characteristic
8#21446148C211yesmaximal, characteristic
9#21445960C211yesmaximal, characteristic, complemented
10#21445839C211yesmaximal, characteristic, complemented
11#21445839C211yesmaximal, characteristic, complemented
12#21445691C211yesmaximal, characteristic, complemented
13#21445666C211yesmaximal, characteristic, complemented
14#21445659C211yesmaximal, characteristic, complemented
15C61×#2943C211yesmaximal, characteristic
16C2×#14519784C2211yescharacteristic
17C2×#14519784C2211yescharacteristic
18#16839823—21no—
19#16839823—21no—
20#16839819—21no—
21#16839815—21no—
22#16839789—21no—
23#16839789—21no—
24#16839789C2211yescharacteristic
25#16839789C2211yescharacteristic
26#16839786—21no—
27#16839786C2211yescharacteristic
28#16839786C2211yescharacteristic
29C2×C4⋊#92418—21no—
30C2×C4⋊#92418C2211yescharacteristic
31C2×#14519704C2211yescharacteristic
32C2×#14519704C2211yescharacteristic
33C2×#14519704C2211yescharacteristic
34C2×#14519704C2211yescharacteristic
35#16839729C2211yescharacteristic
36#16839729C2211yescharacteristic
37#16839718C2211yescharacteristic
38#16839718C2211yescharacteristic
39C2×#14519687C2211yescharacteristic
40C2×C8×Dic61C2211yescharacteristic
41C4×C4⋊Dic61C2211yescharacteristic
42#16839527C2211yescharacteristic
43#16839527C2211yescharacteristic
44#16839527C2211yescharacteristic
45#16839527C2211yescharacteristic
46#16839521C2211yescharacteristic
47#16839521C2211yescharacteristic
48#16839521C2211yescharacteristic
49#16839521C2211yescharacteristic
50#16839516C2211yescharacteristic
51#16839516C2211yescharacteristic
52C2×#135×C61C2211yescharacteristic
53C4×#41×C61C2211yescharacteristic
54C4×#41×C61C2211yescharacteristic
55C61×#442C411yescharacteristic, complemented
56C61×#442C411yescharacteristic, complemented
57C61×#441C411yescharacteristic, complemented
58C61×#441C411yescharacteristic, complemented
59C61×#440C411yescharacteristic, complemented
60C61×#440C411yescharacteristic, complemented
61C61×#440C411yescharacteristic, complemented
62C61×#440C411yescharacteristic, complemented
63C61×#427C2211yescharacteristic
64C61×#416C2211yescharacteristic
65C61×#416C2211yescharacteristic
66C2×#97×C61C2211yescharacteristic
67#14519784—22no—
68#14519784—22no—
69#14519784—41no—
70#14519784—41no—
71C2×#11758194—21no—
72C2×#11758194—21no—
73C2×#11758194C2311yescharacteristic
74C2×#11758194C2311yescharacteristic
75C2×#11758194C2311yescharacteristic
76C2×#11758194C2311yescharacteristic
77C22×#92418—21no—
78C22×#92418—21no—
79C22×#92418C2311yescharacteristic
80C22×#92418C2311yescharacteristic
81C2×C4⋊Dic61—21no—
82C2×C4×Dic61C2311yescharacteristic
83C2×C4×Dic61C2311yescharacteristic
84C4⋊#92418—21no—
85C4⋊#92418—21no—
86C4⋊#92418—21no—
87C4⋊#92418—21no—
88C4⋊#92418—21no—
89C4⋊#92418—21no—
90C4⋊#92418—21no—
91C4⋊#92418—21no—
92C4⋊#92418D411yescharacteristic
93C4⋊#92418D411yescharacteristic
94C4⋊#92418D411yescharacteristic
95C4⋊#92418D411yescharacteristic
96#14519704—22no—
97#14519704—22no—
98#14519704—41no—
99#14519704—41no—
100C22⋊#92418—21no—
101C22⋊#92418—21no—
102C22⋊#92418—21no—
103C22⋊#92418—21no—
104#14519688—21no—
105#14519688—21no—
106#14519687—41no—
107C4×#92418—21no—
108C4×#92418—21no—
109C8×Dic61—41no—
110#14519684—21no—
111C2×#41×C61C2311yescharacteristic
112C2×#41×C61C2311yescharacteristic
113#135×C61—22no—
114#135×C61—22no—
115C2×Q16×C61C2×C411yescharacteristic
116C2×SD16×C61C2×C411yescharacteristic
117C2×SD16×C61C2×C411yescharacteristic
118C2×D8×C61C2×C411yescharacteristic
119C22×C8×C61C2311yescharacteristic
120C22×C8×C61C2311yescharacteristic
121C4×Q8×C61C2×C411yescharacteristic
122C4×Q8×C61C2×C411yescharacteristic
123C4×Q8×C61C2×C411yescharacteristic
124C4×Q8×C61C2×C411yescharacteristic
125C4×D4×C61—21no—
126C4×D4×C61—21no—
127C4×D4×C61—21no—
128C4×D4×C61—21no—
129C4×D4×C61C2×C411yescharacteristic
130C4×D4×C61C2×C411yescharacteristic
131C4×D4×C61C2×C411yescharacteristic
132C4×D4×C61C2×C411yescharacteristic
133#117×C61—21no—
134#117×C61—21no—
135#117×C61C2311yescharacteristic
136#117×C61C2311yescharacteristic
137C2×C42×C61—21no—
138C2×C42×C61—21no—
139C2×C42×C61C2311yescharacteristic
140#107×C61C2×C411yescharacteristic
141#107×C61C2×C411yescharacteristic
142#106×C61C2×C411yescharacteristic
143#106×C61C2×C411yescharacteristic
144#103×C61C2×C411yescharacteristic
145#103×C61C2×C411yescharacteristic
146#103×C61C2×C411yescharacteristic
147#103×C61C2×C411yescharacteristic
148#102×C61C2×C411yescharacteristic
149#102×C61C2×C411yescharacteristic
150#102×C61C2×C411yescharacteristic
151#102×C61C2×C411yescharacteristic
152#97×C61C2×C411yescharacteristic
153#97×C61C2×C411yescharacteristic
154#97×C61C2×C411yescharacteristic
155#97×C61C2×C411yescharacteristic
156#41×C61—21no—
157#41×C61—21no—
158#41×C61—21no—
159#41×C61—21no—
160#41×C61—21no—
161#41×C61—21no—
162#41×C61#4112yes—
163#41×C61#4112yes—
164C2×Q8×C61C22×C411yescharacteristic
165C2×Q8×C61C22×C411yescharacteristic
166C2×D4×C61—21no—
167C2×D4×C61—21no—
168C2×D4×C61C22×C411yescharacteristic
169C2×D4×C61C22×C411yescharacteristic
170C22×C4×C61—21no—
171C22×C4×C61—21no—
172C22×C4×C61—21no—
173C22×C4×C61—21no—
174C22×C4×C61—21no—
175C22×C4×C61—21no—
176C22×C4×C61#4111yescharacteristic
177C22×C4×C61#4111yescharacteristic
178C22×C4×C61C2411yescharacteristic
179C22×Dic61—21no—
180C22×Dic61—21no—
181Q16×C61—22no—
182SD16×C61—22no—
183SD16×C61—22no—
184D8×C61—22no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61C22×C411yescharacteristic
190C2×C8×C61C22×C411yescharacteristic
191C2×C8×C61C22×C411yescharacteristic
192C2×C8×C61C22×C411yescharacteristic
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61C22×C411yescharacteristic
198C4⋊C4×C61C22×C411yescharacteristic
199C4⋊C4×C61C22×C411yescharacteristic
200C4⋊C4×C61C22×C411yescharacteristic
201C22⋊C4×C61—21no—
202C22⋊C4×C61—21no—
203C22⋊C4×C61—21no—
204C22⋊C4×C61—21no—
205C22⋊C4×C61—21no—
206C22⋊C4×C61—21no—
207C42×C61—21no—
208C42×C61—21no—
209C42×C61—21no—
210C42×C61—21no—
211C42×C61—21no—
212C42×C61—21no—
213C42×C61C22×C411yescharacteristic
214C42×C61C22×C411yescharacteristic
215C42×C61C2×D411yescharacteristic
216C42×C61C2×D411yescharacteristic
217C4⋊Dic61—42no—
218C4×Dic61—21no—
219C4×Dic61—21no—
220C4×Dic61—21no—
221C4×Dic61—21no—
222#11758194—21no—
223#11758194—21no—
224#11758194—21no—
225#11758194—21no—
226#11758194—21no—
227#11758194—21no—
228#11758194—21no—
229#11758194—21no—
230#11758194—42no—
231#11758194—42no—
232C2×#92418—21no—
233C2×#92418—21no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418—21no—
238C2×#92418—21no—
239C2×#92418—21no—
240C2×#92418—42no—
241C2×#92418—42no—
242C2×#92418C2×D411yescharacteristic
243C2×#92418C2×D411yescharacteristic
244C2×#92418C2×D411yescharacteristic
245C2×#92418C2×D411yescharacteristic
246C23×C61—21no—
247C23×C61—21no—
248C23×C61C2×#4111yescharacteristic
249Q8×C61—21no—
250Q8×C61—21no—
251Q8×C61—21no—
252Q8×C61#11712yes—
253D4×C61—22no—
254D4×C61—22no—
255D4×C61—21no—
256D4×C61—21no—
257D4×C61—21no—
258D4×C61—41no—
259D4×C61—41no—
260D4×C61#11712yes—
261C2×C4×C61—21no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—42no—
272C2×C4×C61—42no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—81no—
276C2×C4×C61—81no—
277C2×C4×C61C4×D411yescharacteristic
278C2×C4×C61C4×D411yescharacteristic
279C2×C4×C61C4×D411yescharacteristic
280C2×C4×C61C4×D411yescharacteristic
281C2×C4×C61C23×C411yescharacteristic
282C2×C4×C61C22×D411yescharacteristic
283C2×C4×C61C2×#4111yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×C4×C61H(5,𝔽2)11yescharacteristic
286C2×C4×C612−1+411yescharacteristic
287C2×Dic61—22no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C8×C61—21no—
294C8×C61—21no—
295C8×C61—21no—
296C8×C61—21no—
297#92418—21no—
298#92418—21no—
299#92418—21no—
300#92418—21no—
301#92418—41no—
302#92418—41no—
303#92418—41no—
304#92418—41no—
305#22784—611nomaximal, Sylow
306C22×C61—21no—
307C22×C61—21no—
308C22×C61—22no—
309C22×C61—41no—
310C22×C61—41no—
311C22×C61—41no—
312C22×C61—41no—
313C22×C61—41no—
314C22×C61C2×C4×D411yescharacteristic
315C22×C61#55211yescharacteristic
316C22×C61#55311yescharacteristic
317C4×C61—22no—
318C4×C61—21no—
319C4×C61—21no—
320C4×C61—21no—
321C4×C61—21no—
322C4×C61—41no—
323C4×C61—41no—
324C4×C61—41no—
325C4×C61—41no—
326C4×C61—41no—
327C4×C61C2×#11711yescharacteristic
328C4×C61#52011yescharacteristic
329C4×C61#54611yescharacteristic
330C4×C61#54811yescharacteristic
331Dic61—42no—
332Dic61—81no—
333#2943D6111yescharacteristic
334#2925—611no—
335#2906—611no—
336#1938—611no—
337#1937—611no—
338#1922—611no—
339#1922—611no—
340#1876—611no—
341#1876—611no—
342#1838—611no—
343#1806—611no—
344#1806—611no—
345#1771—611no—
346#1765—611no—
347#1764—611no—
348C2×C61—21no—
349C2×C61—21no—
350C2×C61—42no—
351C2×C61—81no—
352C2×C61#235211yescharacteristic
353C2×C61#295511yescharacteristic
354C2×C61#295611yescharacteristic
355C2×#135C2×D6111yescharacteristic
356C2×#131—611no—
357C2×#131—611no—
358C4×#41C2×D6111yescharacteristic
359C4×#41C2×D6111yescharacteristic
360#442Dic6111yescharacteristic, complemented
361#442Dic6111yescharacteristic, complemented
362#441Dic6111yescharacteristic, complemented
363#441Dic6111yescharacteristic, complemented
364#440Dic6111yescharacteristic, complemented
365#440Dic6111yescharacteristic, complemented
366#440Dic6111yescharacteristic, complemented
367#440Dic6111yescharacteristic, complemented
368#433—1221no—
369#433—1221no—
370#432—1221no—
371#431—1221no—
372#427C2×D6111yescharacteristic
373#424—611no—
374#424—611no—
375#424—1221no—
376#424—1221no—
377#423—611no—
378#423—611no—
379#423—1221no—
380C2×C4⋊C8—611no—
381C2×C4⋊C8—1221no—
382C2×#104—611no—
383C2×#104—611no—
384C2×#104—611no—
385C2×#104—611no—
386#416C2×D6111yescharacteristic
387#416C2×D6111yescharacteristic
388#408—611no—
389#408—611no—
390#405—611no—
391#405—611no—
392C2×#97—611no—
393C2×#97C2×D6111yescharacteristic
394C2×C4×C8—611no—
395C4×C4⋊C4—611no—
396#341—611no—
397#341—611no—
398#341—611no—
399#341—611no—
400#339—611no—
401#339—611no—
402#339—611no—
403#339—611no—
404#336—611no—
405#336—611no—
406C61#2278411yescharacteristic, complemented, Sylow
407C2×#41C22×D6111yescharacteristic
408C2×#41C22×D6111yescharacteristic
409#135—22no—
410#135—22no—
411C2×Q16C2×Dic6111yescharacteristic
412C2×SD16C2×Dic6111yescharacteristic
413C2×SD16C2×Dic6111yescharacteristic
414C2×D8C2×Dic6111yescharacteristic
415#131—1222no—
416#131—1222no—
417#131—2441no—
418#131—2441no—
419C2×M16—611no—
420C2×M16—611no—
421C2×M16—611no—
422C2×M16—611no—
423C2×M16—1221no—
424C2×M16—1221no—
425C22×C8—611no—
426C22×C8—611no—
427C22×C8—1221no—
428C22×C8—1221no—
429C22×C8C22×D6111yescharacteristic
430C22×C8C22×D6111yescharacteristic
431C4×Q8C2×Dic6111yescharacteristic
432C4×Q8C2×Dic6111yescharacteristic
433C4×Q8C2×Dic6111yescharacteristic
434C4×Q8C2×Dic6111yescharacteristic
435C4×D4—21no—
436C4×D4—21no—
437C4×D4—21no—
438C4×D4—21no—
439C4×D4C2×Dic6111yescharacteristic
440C4×D4C2×Dic6111yescharacteristic
441C4×D4C2×Dic6111yescharacteristic
442C4×D4C2×Dic6111yescharacteristic
443#117—21no—
444#117—21no—
445#117C22×D6111yescharacteristic
446#117C22×D6111yescharacteristic
447C2×C4⋊C4—1221no—
448C2×C42—21no—
449C2×C42—21no—
450C2×C42—611no—
451C2×C42—611no—
452C2×C42C22×D6111yescharacteristic
453#107C2×Dic6111yescharacteristic
454#107C2×Dic6111yescharacteristic
455#106C2×Dic6111yescharacteristic
456#106C2×Dic6111yescharacteristic
457C4⋊C8—611no—
458C4⋊C8—611no—
459C4⋊C8—611no—
460C4⋊C8—611no—
461C4⋊C8—1221no—
462C4⋊C8—1221no—
463C4⋊C8—1221no—
464C4⋊C8—1221no—
465C4⋊C8—1221no—
466C4⋊C8—1221no—
467C4⋊C8—1221no—
468C4⋊C8—1221no—
469#104—1222no—
470#104—1222no—
471#104—2441no—
472#104—2441no—
473#103C2×Dic6111yescharacteristic
474#103C2×Dic6111yescharacteristic
475#103C2×Dic6111yescharacteristic
476#103C2×Dic6111yescharacteristic
477#102C2×Dic6111yescharacteristic
478#102C2×Dic6111yescharacteristic
479#102C2×Dic6111yescharacteristic
480#102C2×Dic6111yescharacteristic
481C22⋊C8—1221no—
482C22⋊C8—1221no—
483C22⋊C8—1221no—
484C22⋊C8—1221no—
485#97—1221no—
486#97—1221no—
487#97—2441no—
488#97C2×Dic6111yescharacteristic
489#97C2×Dic6111yescharacteristic
490#97C2×Dic6111yescharacteristic
491#97C2×Dic6111yescharacteristic
492C4×C8—1221no—
493C4×C8—1221no—
494C4×C8—2441no—
495#95—1221no—
496#41—21no—
497#41—21no—
498#41—21no—
499#41—21no—
500#41—21no—
501#41—21no—
502#41#1175822212yes—
503#41#1175822212yes—
504C2×Q8C22×Dic6111yescharacteristic
505C2×Q8C22×Dic6111yescharacteristic
506C2×D4—21no—
507C2×D4—21no—
508C2×D4C22×Dic6111yescharacteristic
509C2×D4C22×Dic6111yescharacteristic
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—1221no—
517C22×C4—1221no—
518C22×C4#1175822411yescharacteristic
519C22×C4#1175822411yescharacteristic
520C22×C4C23×D6111yescharacteristic
521Q16—22no—
522SD16—22no—
523SD16—22no—
524D8—22no—
525M16—1221no—
526M16—1221no—
527M16—1221no—
528M16—1221no—
529M16—1221no—
530M16—1221no—
531M16—1221no—
532M16—1221no—
533M16—2442no—
534M16—2442no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—611no—
540C2×C8—611no—
541C2×C8—611no—
542C2×C8—611no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—1221no—
546C2×C8—1221no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—2442no—
552C2×C8—2442no—
553C2×C8C22×Dic6111yescharacteristic
554C2×C8C22×Dic6111yescharacteristic
555C2×C8C22×Dic6111yescharacteristic
556C2×C8C22×Dic6111yescharacteristic
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—2442no—
562C4⋊C4C22×Dic6111yescharacteristic
563C4⋊C4C22×Dic6111yescharacteristic
564C4⋊C4C22×Dic6111yescharacteristic
565C4⋊C4C22×Dic6111yescharacteristic
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C42—21no—
573C42—21no—
574C42—21no—
575C42—21no—
576C42—21no—
577C42—21no—
578C42—1221no—
579C42—1221no—
580C42—1221no—
581C42—1221no—
582C42D4×D6111yescharacteristic
583C42D4×D6111yescharacteristic
584C42C22×Dic6111yescharacteristic
585C42C22×Dic6111yescharacteristic
586C23—21no—
587C23—21no—
588C23C2×#1175822411yescharacteristic
589Q8—21no—
590Q8—21no—
591Q8—21no—
592Q8#1451973612yes—
593D4—22no—
594D4—22no—
595D4—21no—
596D4—21no—
597D4—21no—
598D4—41no—
599D4—41no—
600D4#1451973612yes—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—81no—
616C2×C4—81no—
617C2×C4—1222no—
618C2×C4—2441no—
619C2×C4—2441no—
620C2×C4—2441no—
621C2×C4—2441no—
622C2×C4—2441no—
623C2×C4D4×Dic6111yescharacteristic
624C2×C4D4×Dic6111yescharacteristic
625C2×C4D4×Dic6111yescharacteristic
626C2×C4D4×Dic6111yescharacteristic
627C2×C4C23×Dic6111yescharacteristic
628C2×C4C2×D4×D6111yescharacteristic
629C2×C4C2×#1175822211yescharacteristic
630C2×C4C2×#1175822211yescharacteristic
631C2×C4#1451982311yescharacteristic
632C2×C4#1451982411yescharacteristic
633C8—21no—
634C8—21no—
635C8—21no—
636C8—21no—
637C8—1221no—
638C8—1221no—
639C8—1221no—
640C8—1221no—
641C8—2441no—
642C8—2441no—
643C8—2441no—
644C8—2441no—
645C22—21no—
646C22—21no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22C2×D4×Dic6111yescharacteristic
654C22#1684045211yescharacteristic
655C22#1684045811yescharacteristic
656C4—22no—
657C4—21no—
658C4—21no—
659C4—21no—
660C4—21no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—4881no—
667C4—2442no—
668C4C2×#1451973611yescharacteristic
669C4#1684024511yescharacteristic
670C4#1684040811yescharacteristic
671C4#1684042111yescharacteristic
672C2—21no—
673C2—21no—
674C2—42no—
675C2—81no—
676C2#2144874811yescharacteristic
677C2#2145472211yescharacteristic
678C2#2145472911yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#2943C2
socleC22×C61C2×C4×D4
prime radicalC2×#135×C61C22
cosocleC22×C4×C61C24
hypercenter#2943D61
hypocenterC61#22784
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #2943

Complements

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

NH ≅ G/Ntype
1. #21454485C2semidirect
2. #21454387C2semidirect
3. #21446532C2semidirect
4. #21446525C2semidirect
5. #21446420C2semidirect
6. #21446420C2semidirect
9. #21445960C2semidirect
10. #21445839C2semidirect
11. #21445839C2semidirect
12. #21445691C2semidirect
13. #21445666C2semidirect
14. #21445659C2semidirect
55. C61×#442C4semidirect
56. C61×#442C4semidirect
57. C61×#441C4semidirect
58. C61×#441C4semidirect
59. C61×#440C4semidirect
60. C61×#440C4semidirect
61. C61×#440C4semidirect
62. C61×#440C4semidirect
360. #442Dic61semidirect
361. #442Dic61semidirect
362. #441Dic61semidirect
363. #441Dic61semidirect
364. #440Dic61semidirect
365. #440Dic61semidirect
366. #440Dic61semidirect
367. #440Dic61semidirect
406. C61#22784semidirect

Maximal subgroups

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

subgroupindex
#214544852
#214543872
#214465322
#214465252
#214464202
#214461482
#214459602
#214458392
#214456912
#214456662
#214456592
C61×#29432
#2278461