Finite Group Databasebeta

← #29686693

Subgroups — #29686693

Order 15616.

1066 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840014C211yesmaximal, characteristic
2C2×#16839842C211yesmaximal, characteristic, complemented
3C2×#16839716C211yesmaximal, characteristic, complemented
4#21448515C211yesmaximal, characteristic, complemented
5#21448510C211yesmaximal, characteristic, complemented
6#21446694C211yesmaximal, characteristic, complemented
7#21446559C211yesmaximal, characteristic, complemented
8#21446502C211yesmaximal, characteristic, complemented
9#21446246C211yesmaximal, characteristic, complemented
10#21446244C211yesmaximal, characteristic, complemented
11#21445851C211yesmaximal, characteristic, complemented
12#21445707C211yesmaximal, characteristic, complemented
13#21445646C211yesmaximal, characteristic, complemented
14#21445643C211yesmaximal, characteristic, complemented
15C61×#1934C211yesmaximal, characteristic, complemented
16C22×#11758199C2211yescharacteristic
17C22×#11758189C2211yescharacteristic
18C22×C8×D61C2211yescharacteristic
19C2×#14519752C2211yescharacteristic
20C2×#14519748C2211yescharacteristic
21C2×D4×Dic61C2211yescharacteristic
22C2×#14519739C2211yescharacteristic
23C2×#14519734C2211yescharacteristic
24#16840014C418yescomplemented
25#16839842—24no—
26C2×#14519710C2211yescharacteristic
27C2×#14519708C2211yescharacteristic
28C2×#14519708C2211yescharacteristic
29C2×#14519699C2211yescharacteristic
30C2×#14519699C2211yescharacteristic
31C2×#14519698C2211yescharacteristic
32C2×#14519697C2211yescharacteristic
33#16839716—24no—
34C2×#14519688C2211yescharacteristic
35C2×#14519687C2211yescharacteristic
36C2×C8×Dic61C2211yescharacteristic
37#16839664C2211yescharacteristic
38#16839663—21no—
39#16839662—21no—
40#16839660C2211yescharacteristic
41#16839651—21no—
42#16839650—21no—
43#16839640—21no—
44#16839639—21no—
45#16839634—21no—
46#16839633—21no—
47#16839619C2211yescharacteristic
48#16839619C2211yescharacteristic
49C4⋊C4×Dic61C2211yescharacteristic
50C4⋊C4×Dic61C2211yescharacteristic
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53#16839524C2211yescharacteristic
54#16839524C2211yescharacteristic
55C2×#102×C61C2211yescharacteristic
56C2×#102×C61C2211yescharacteristic
57C2×C4×C8×C61C2211yescharacteristic
58C61×#390C2211yescharacteristic
59C61×#389C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C22×D244—21no—
63C22×D244C2311yescharacteristic
64C22×C22⋊D61—21no—
65C23×Dic61—21no—
66C22×C4×D61—21no—
67C22×C4×D61C2311yescharacteristic
68C2×#11758199—22no—
69C2×#11758199—22no—
70C2×#11758199C2×C414yes—
71C2×#11758189—22no—
72C2×#11758189—22no—
73C2×#11758189C2×C414yescomplemented
74C22×#92418C2311yescharacteristic
75C22×#92418C2311yescharacteristic
76C2×C8×D61—22no—
77C2×C8×D61—22no—
78C2×C8×D61—22no—
79#14519752—22no—
80#14519752C2×C414yescomplemented
81#14519748—22no—
82#14519748C2×C414yescomplemented
83D4×Dic61—22no—
84D4×Dic61—22no—
85#14519739—22no—
86#14519739—22no—
87#14519734—22no—
88#14519734—22no—
89C2×C4⋊Dic61C2311yescharacteristic
90C2×C4⋊Dic61C2311yescharacteristic
91C2×C4⋊Dic61C2311yescharacteristic
92C2×#11758196—21no—
93C2×#11758196D411yescharacteristic
94C2×#11758196D411yescharacteristic
95C2×C22⋊Dic61—21no—
96C2×C22⋊Dic61—21no—
97C2×#11758198—21no—
98C2×#11758198—21no—
99C2×#11758198—21no—
100C2×#11758198—21no—
101C2×#11758198—21no—
102C2×#11758198—21no—
103C2×#11758198D411yescharacteristic
104C2×#11758198D411yescharacteristic
105C2×C4×Dic61—21no—
106C2×C4×Dic61—21no—
107C2×C4×Dic61C2311yescharacteristic
108#14519710—22no—
109#14519708—22no—
110#14519708C2×C414yescomplemented
111#14519699—22no—
112#14519699C2×C414yescomplemented
113#14519698—22no—
114#14519697—22no—
115#14519688—22no—
116#14519687—22no—
117C8×Dic61D414yescomplemented
118#14519684—21no—
119#14519684—21no—
120#14519684—21no—
121#14519684—21no—
122#14519684—21no—
123C22×D4×C61C2311yescharacteristic
124C22×C8×C61C2311yescharacteristic
125C22×C8×C61C2311yescharacteristic
126C2×C4⋊C4×C61—21no—
127C2×C4⋊C4×C61C2311yescharacteristic
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C22⋊C4×C61—21no—
131C2×C22⋊C4×C61—21no—
132C2×C42×C61C2311yescharacteristic
133#102×C61—22no—
134#102×C61C2×C414yescomplemented
135C4×C8×C61—22no—
136#95×C61—21no—
137C24×C61—21no—
138C23×D61—21no—
139C23×D61C2×D411yescharacteristic
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61C22×C412yes—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2411yescharacteristic
152C2×C22⋊D61—24no—
153C2×C22⋊D61—81no—
154C2×C22⋊D61—81no—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61—42no—
159C22×Dic61—81no—
160C22×Dic61—81no—
161C22×Dic61C2×D411yescharacteristic
162C22×Dic61C2×D411yescharacteristic
163C22×Dic61C2×D411yescharacteristic
164C2×D244—21no—
165C2×D244—21no—
166C2×D244—21no—
167C2×D244—21no—
168C2×D244—21no—
169C2×D244—24no—
170C2×D244—81no—
171C2×D244—81no—
172C2×D244C22×C412yes—
173C2×C4×D61—21no—
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—21no—
177C2×C4×D61—42no—
178C2×C4×D61—81no—
179C2×C4×D61—81no—
180C2×C4×D61C22×C412yes—
181C2×C4×D61#4112yes—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61C22×C412yes—
187C2×C8×C61C2×D412yes—
188C4⋊C4×C61—21no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—81no—
194C4⋊C4×C61C22×C412yes—
195C22⋊C4×C61—81no—
196C22⋊C4×C61—81no—
197C42×C61—21no—
198C42×C61—21no—
199C22⋊Dic61—24no—
200C22⋊Dic61—42no—
201#11758199—28no—
202#11758198—24no—
203#11758198—22no—
204#11758198—22no—
205#11758198—42no—
206#11758198—81no—
207#11758198—81no—
208#11758198—81no—
209#11758198—81no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61C22×C412yes—
216#11758196—22no—
217#11758196—22no—
218#11758196—81no—
219C4×Dic61—81no—
220C4×Dic61—81no—
221C4×Dic61C2×D412yes—
222C4×Dic61#4112yes—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418C22×C412yes—
226C2×#92418C2×D412yes—
227C2×#92418#4112yes—
228C2×#92418#4112yes—
229#11758189—28no—
230C8×D61—28no—
231C23×C61—22no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61C22×D411yescharacteristic
239C22×D61—21no—
240C22×D61—21no—
241C22×D61—21no—
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—21no—
245C22×D61—22no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61C4×D412yes—
253D4×C61—22no—
254D4×C61—22no—
255D4×C61—41no—
256D4×C61—41no—
257C2×C4×C61—22no—
258C2×C4×C61—21no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
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×C61C23×C411yescharacteristic
273C2×C4×C61C22×D411yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×C4×C61C2×#4111yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C22⋊D61—84no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—22no—
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—
295C2×Dic61C4×D412yes—
296C2×Dic61#12112yes—
297C2×Dic61#12112yes—
298D244—22no—
299D244—22no—
300D244—41no—
301D244—41no—
302D244—84no—
303C4×D61—22no—
304C4×D61—22no—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—84no—
308C8×C61—22no—
309C8×C61—22no—
310#92418—22no—
311#92418C4×D414yes—
312#21536—611nomaximal, Sylow
313C22×C61—42no—
314C22×C61—42no—
315C22×C61—42no—
316C22×C61—81no—
317C22×C61—81no—
318C22×C61—81no—
319C22×C61—81no—
320C22×C61C2×C4×D411yescharacteristic
321C22×C61C2×#12111yescharacteristic
322C22×C61#53211yescharacteristic
323C22×C61#57611yescharacteristic
324C22×C61#57611yescharacteristic
325C22×C61#57711yescharacteristic
326C22×C61#57711yescharacteristic
327C2×D61—22no—
328C2×D61—22no—
329C2×D61—22no—
330C2×D61—41no—
331C2×D61—41no—
332C2×D61—41no—
333C2×D61—41no—
334C2×D61—42no—
335C2×D61—42no—
336C2×D61—42no—
337C2×D61—81no—
338C2×D61—81no—
339C2×D61—81no—
340C2×D61—81no—
341C4×C61—42no—
342C4×C61—41no—
343C4×C61—41no—
344C4×C61—81no—
345C4×C61—81no—
346C4×C61C2×C4×D411yescharacteristic
347C4×C61C4×#4111yescharacteristic
348C4×C61#52511yescharacteristic
349C4×C61#52911yescharacteristic
350Dic61—22no—
351Dic61—22no—
352Dic61—22no—
353Dic61—42no—
354Dic61—81no—
355Dic61—81no—
356C2×#469—611no—
357C2×C4×D8—611no—
358C2×#405—611no—
359#2324—611no—
360#2324—611no—
361#1972—611no—
362#1944—611no—
363#1934—611no—
364#1934D6111yescharacteristic, complemented
365#1893—611no—
366#1893—611no—
367#1809—611no—
368C4×#106—611no—
369#1762—611no—
370#1762—611no—
371C2×C61—82no—
372C2×C61C4×#12111yescharacteristic
373C2×C61#294611yescharacteristic
374C2×C61#294611yescharacteristic
375C2×C61#305811yescharacteristic
376C2×C61#306011yescharacteristic
377C2×C61#317911yescharacteristic
378C2×C61#317911yescharacteristic
379D61—42no—
380D61—82no—
381C22×D8—611no—
382C22×M16—611no—
383C23×C8—611no—
384C2×#121—611no—
385C2×#121—611no—
386C2×C4×D4—611no—
387C2×C4×D4—611no—
388C2×#117—611no—
389#469—618no—
390C4×D8—1224no—
391C2×#107—611no—
392C2×#106—611no—
393C2×#106—611no—
394C2×#102—611no—
395C2×#102—611no—
396C2×#102—611no—
397C2×#102—611no—
398C2×#102C2×D6111yescharacteristic
399C2×#102C2×D6111yescharacteristic
400#405—1224no—
401C2×#97—611no—
402C2×#97—611no—
403C2×C4×C8—611no—
404C2×C4×C8C2×D6111yescharacteristic
405#390—611no—
406#390—1221no—
407#390—1221no—
408#390C2×D6111yescharacteristic
409#389—611no—
410#389C2×D6111yescharacteristic
411#388—1221no—
412#388—1221no—
413#386—1221no—
414#386—1221no—
415#385—1221no—
416#385—1221no—
417#380—611no—
418#380—611no—
419C4×C4⋊C4—611no—
420C4×C4⋊C4—611no—
421#340—611no—
422#340—611no—
423#340—611no—
424#340—611no—
425#340C2×D6111yescharacteristic
426#340C2×D6111yescharacteristic
427C61#2153611yescharacteristic, complemented, Sylow
428C22×D4—611no—
429C22×D4—1221no—
430C22×D4—1221no—
431C22×D4C22×D6111yescharacteristic
432C23×C4—611no—
433C23×C4—1221no—
434C23×C4—1221no—
435C2×D8—614no—
436C2×D8—1222no—
437C2×D8—1222no—
438C2×M16—614no—
439C2×M16—1222no—
440C2×M16—1222no—
441C22×C8—611no—
442C22×C8—611no—
443C22×C8—1222no—
444C22×C8—1222no—
445C22×C8—1222no—
446C22×C8C22×D6111yescharacteristic
447C22×C8C22×D6111yescharacteristic
448#121—614no—
449#121—614no—
450#121—1222no—
451#121—1222no—
452C4×D4—1222no—
453C4×D4—1222no—
454C4×D4—1222no—
455C4×D4—1222no—
456#117—1222no—
457#117—1222no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4C22×D6111yescharacteristic
466C2×C4⋊C4C22×D6111yescharacteristic
467C2×C4⋊C4C22×D6111yescharacteristic
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—611no—
471C2×C22⋊C4—611no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C22⋊C4—1221no—
480C2×C42—611no—
481C2×C42—1221no—
482C2×C42—1221no—
483C2×C42C22×D6111yescharacteristic
484#107—1222no—
485#106—614no—
486#106—1222no—
487#102—22no—
488#102—614no—
489#102—1222no—
490#102—1222no—
491#102—1222no—
492#102C4×D6114yescomplemented
493#97—1222no—
494#97—1222no—
495C4×C8—22no—
496C4×C8—614no—
497#95—21no—
498#95—1221no—
499#95—1221no—
500#95—1221no—
501#95—1221no—
502#95—1221no—
503C24—21no—
504C24—611no—
505C24—1221no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—612no—
512C2×D4—1224no—
513C2×D4—1224no—
514C2×D4—1221no—
515C2×D4—1221no—
516C2×D4—1221no—
517C2×D4—1221no—
518C2×D4—1221no—
519C2×D4—4881no—
520C2×D4—4881no—
521C2×D4—4881no—
522C2×D4—4881no—
523C2×D4C2×C4×D6112yes—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—611no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—612no—
531C22×C4—612no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—4881no—
540C22×C4—4881no—
541C22×C4—4881no—
542C22×C4—4881no—
543C22×C4—2442no—
544C22×C4—2442no—
545C22×C4D4×D6111yescharacteristic
546C22×C4D4×D6111yescharacteristic
547C22×C4C23×D6111yescharacteristic
548D8—1228no—
549M16—1228no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—612no—
555C2×C8—612no—
556C2×C8—612no—
557C2×C8—612no—
558C2×C8—1228no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8C2×C4×D6112yes—
562C2×C8D4×D6112yes—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—81no—
569C4⋊C4—612no—
570C4⋊C4—1222no—
571C4⋊C4—1222no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—4881no—
578C4⋊C4C2×C4×D6112yes—
579C22⋊C4—81no—
580C22⋊C4—81no—
581C22⋊C4—1222no—
582C22⋊C4—1222no—
583C22⋊C4—1224no—
584C22⋊C4—1224no—
585C22⋊C4—4881no—
586C22⋊C4—4881no—
587C22⋊C4—4881no—
588C22⋊C4—4881no—
589C22⋊C4—2442no—
590C22⋊C4—2442no—
591C42—21no—
592C42—21no—
593C42—612no—
594C42—612no—
595C42—4881no—
596C42—4881no—
597C23—22no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—612no—
605C23—1221no—
606C23—1221no—
607C23—1221no—
608C23—1221no—
609C23—1221no—
610C23—1221no—
611C23—1222no—
612C23—2441no—
613C23—2441no—
614C23—2441no—
615C23—2441no—
616C23—2441no—
617C23—2441no—
618C23C2×D4×D6111yescharacteristic
619D4—22no—
620D4—22no—
621D4—41no—
622D4—41no—
623D4—1222no—
624D4—1222no—
625D4—4884no—
626D4—4884no—
627D4—2441no—
628D4—2441no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
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—612no—
645C2×C4—612no—
646C2×C4—612no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—4884no—
659C2×C4—4884no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4C22×C4×D6111yescharacteristic
669C2×C4C2×D4×D6111yescharacteristic
670C2×C4#41×D6111yescharacteristic
671C2×C4#41×D6111yescharacteristic
672C2×C4#41×D6111yescharacteristic
673C2×C4#41×D6111yescharacteristic
674C8—22no—
675C8—22no—
676C8—614no—
677C8—1222no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—1222no—
686C22—1222no—
687C22—1222no—
688C22—4881no—
689C22—4881no—
690C22—4881no—
691C22—4881no—
692C22—2442no—
693C22—2442no—
694C22—2442no—
695C22—2441no—
696C22—2441no—
697C22—2441no—
698C22—2441no—
699C22C4×D4×D6111yescharacteristic
700C22#121×D6111yescharacteristic
701C22#1684031111yescharacteristic
702C22#1684056311yescharacteristic
703C22#1684056411yescharacteristic
704C22#1684056811yescharacteristic
705C22#1684056911yescharacteristic
706C4—42no—
707C4—41no—
708C4—41no—
709C4—81no—
710C4—81no—
711C4—1222no—
712C4—1222no—
713C4—1222no—
714C4—4881no—
715C4—4881no—
716C4—2442no—
717C4C4×D4×D6111yescharacteristic
718C4#1684023011yescharacteristic
719C4#1684027011yescharacteristic
720C4#1684029511yescharacteristic
721C2—82no—
722C2—4882no—
723C2—2442no—
724C2#2144833111yescharacteristic
725C2#2145464411yescharacteristic
726C2#2145464611yescharacteristic
727C2#2145546211yescharacteristic
728C2#2145547611yescharacteristic
729C2#2145650111yescharacteristic
730C2#2145650911yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1934C2
socleC23×C61C22×D4
prime radicalC2×#16840014C2
cosocleC22×C4×C61C24
hypercenter#1934D61
hypocenterC61#21536
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1934

Complements

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

NH ≅ G/Ntype
2. C2×#16839842C2semidirect
3. C2×#16839716C2semidirect
4. #21448515C2semidirect
5. #21448510C2semidirect
6. #21446694C2semidirect
7. #21446559C2semidirect
8. #21446502C2semidirect
9. #21446246C2semidirect
10. #21446244C2semidirect
11. #21445851C2semidirect
12. #21445707C2semidirect
13. #21445646C2semidirect
14. #21445643C2semidirect
15. C61×#1934C2semidirect
24. #16840014C4semidirect
73. C2×#11758189C2×C4semidirect
80. #14519752C2×C4semidirect
82. #14519748C2×C4semidirect
110. #14519708C2×C4semidirect
112. #14519699C2×C4semidirect
117. C8×Dic61D4semidirect
134. #102×C61C2×C4semidirect
364. #1934D61semidirect
427. C61#21536semidirect
492. #102C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168400142
C2×#168398422
C2×#168397162
#214485152
#214485102
#214466942
#214465592
#214465022
#214462462
#214462442
#214458512
#214457072
#214456462
#214456432
C61×#19342
#2153661