Finite Group Databasebeta

← #30543647

Subgroups — #30543647

Order 15616.

2666 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840527C211yesmaximal, characteristic
2C2×#131×D61C211yesmaximal, characteristic
3#21459018C211yesmaximal, characteristic
4#21454388C213yesmaximal, complemented
5#21454387C211yesmaximal, characteristic, complemented
6#21454386C213yesmaximal, complemented
7#21454386C213yesmaximal, complemented
8#21454385C211yesmaximal, characteristic, complemented
9#21454385C211yesmaximal, characteristic, complemented
10#21454384C213yesmaximal, complemented
11#21454381C213yesmaximal, complemented
12#21454380C213yesmaximal, complemented
13C2×#16839787C213yesmaximal, complemented
14#424×D61C213yesmaximal, complemented
15C61×#2906C211yesmaximal, characteristic, complemented
16C2×#41×D61C2211yescharacteristic
17#16840527—28no—
18C2×#14519785C2213yes—
19C2×#14519785C2213yes—
20C2×#14519784C2211yescharacteristic
21C2×#14519784C2211yescharacteristic
22C2×#14519783C2213yes—
23C2×#14519783C2213yes—
24#131×D61—28no—
25C22×#11758189C2213yes—
26C2×M16×D61C2213yes—
27C2×M16×D61C2213yes—
28C22×C8×D61C2213yes—
29#16840244C411yescharacteristic
30#16840244C411yescharacteristic
31#16840241C413yes—
32#16840241C413yes—
33#16840238C411yescharacteristic
34#16840238C411yescharacteristic
35#16840234C413yes—
36#16840234C413yes—
37#41×Dic61C2211yescharacteristic
38C4×#11758222C2213yes—
39#16840230C2213yes—
40C2×#14519734C2213yes—
41#117×D61C2213yes—
42#16839790C2213yescomplemented
43#16839790C2213yescomplemented
44#16839789C2213yescomplemented
45#16839789C2213yescomplemented
46#16839788C2213yescomplemented
47#16839788C2213yescomplemented
48#16839787C2213yes—
49#16839787C2216yes—
50#16839787C2211yescharacteristic
51#16839787C2213yes—
52#16839787C2213yes—
53#16839787C2213yescomplemented
54#16839787C2213yescomplemented
55#16839787C2213yescomplemented
56#16839787C2213yescomplemented
57#16839787C2216yescomplemented
58#16839787C2216yescomplemented
59#16839786C2213yescomplemented
60#16839785C2213yescomplemented
61#16839785C2213yescomplemented
62#16839784C2216yescomplemented
63#16839784C2216yescomplemented
64C2×C4⋊#92418C2213yescomplemented
65C2×#14519706C2213yescomplemented
66C2×#14519706C2213yescomplemented
67C4⋊C8×D61C2216yescomplemented
68C4⋊C8×D61C2216yescomplemented
69C2×#131×C61C2211yescharacteristic
70C2×#131×C61C2211yescharacteristic
71C4×#41×C61C2211yescharacteristic
72C61×#424C2213yescomplemented
73C61×#424C2213yescomplemented
74C61×#423C2213yescomplemented
75C2×C4⋊C8×C61C2213yescomplemented
76C2×#11758226C2×C411yescharacteristic
77C2×#11758222C2313yes—
78C2×#11758224C2×C413yes—
79#41×D61D418yes—
80#41×D61Q818yes—
81C2×Q8×D61C2×C411yescharacteristic
82C2×D4×D61C2×C413yes—
83C22×C4×D61C2313yes—
84#14519785—212no—
85#14519785—212no—
86#14519784—24no—
87#14519784—24no—
88#14519783—212no—
89#14519783—212no—
90C2×#11758194C2313yes—
91C2×#11758194C2313yes—
92C2×#11758189—212no—
93C2×#11758189C2313yes—
94C2×#11758189C2316yes—
95C2×#11758189C2311yescharacteristic
96C2×#11758189C2313yes—
97C2×#11758189C2313yes—
98M16×D61—212no—
99M16×D61—212no—
100C22×#92418C2313yes—
101C22×#92418C2313yes—
102C2×C8×D61—212no—
103C2×C8×D61C2311yescharacteristic
104C2×C8×D61C2313yes—
105C2×C8×D61C2313yes—
106C2×C8×D61C2313yes—
107C2×C8×D61C2316yes—
108Q8×Dic61C2×C411yescharacteristic
109Q8×Dic61C2×C411yescharacteristic
110C4×Dic122C2×C413yes—
111C4×Dic122C2×C413yes—
112#14519742C2×C413yes—
113#14519742C2×C413yes—
114C4×D244C2×C413yes—
115C4×D244C2×C413yes—
116D4×Dic61C2×C413yes—
117D4×Dic61C2×C413yes—
118#14519739C2×C413yes—
119#14519739C2×C413yes—
120C4×C22⋊D61C2×C416yes—
121C4×C22⋊D61C2×C416yes—
122#14519737C2×C416yes—
123#14519737C2×C416yes—
124#14519736C2313yes—
125#14519735C2×C413yes—
126#14519735C2×C413yes—
127#14519734C2×C413yes—
128#14519734C2×C413yes—
129#14519734C2×C413yes—
130#14519734C2×C413yes—
131#14519734C2313yes—
132#14519734C2311yescharacteristic
133#14519734C2313yes—
134#14519734C2313yes—
135#14519733C2×C416yes—
136C2×#11758196C2×C413yes—
137C2×#11758196C2×C413yes—
138C4⋊C4×D61C2×C413yes—
139C4⋊C4×D61C2×C413yes—
140C2×#11758198C2×C413yes—
141C2×#11758198C2×C413yes—
142C22⋊C4×D61C2×C416yes—
143C2×C4×Dic61C2313yes—
144C42×D61C2316yes—
145C4⋊#92418C2313yes—
146C4⋊#92418C2316yes—
147C4⋊#92418C2311yescharacteristic
148C4⋊#92418C2313yes—
149C4⋊#92418C2313yes—
150#14519706C2313yes—
151#14519706C2313yes—
152#14519706C2316yes—
153#14519706C2316yes—
154#14519706C2311yescharacteristic
155#14519706C2311yescharacteristic
156#14519706C2313yes—
157#14519706C2313yes—
158#14519706C2313yes—
159#14519706C2313yes—
160C2×#41×C61C2311yescharacteristic
161#131×C61—24no—
162#131×C61—24no—
163C2×M16×C61C2313yes—
164C2×M16×C61C2313yes—
165C22×C8×C61C2313yes—
166C22×C8×C61C2313yes—
167C4×Q8×C61C2×C411yescharacteristic
168C4×Q8×C61C2×C411yescharacteristic
169C4×D4×C61C2×C413yes—
170C4×D4×C61C2×C413yes—
171#117×C61C2313yes—
172C2×C42×C61C2313yes—
173C4⋊C8×C61C2313yes—
174C4⋊C8×C61C2316yes—
175C4⋊C8×C61C2313yes—
176C4⋊C8×C61C2311yescharacteristic
177C4⋊C8×C61C2313yes—
178C23×D61C22×C413yes—
179#41×C61C2×D414yes—
180#41×C61C2×Q814yes—
181C2×Q8×C61C22×C411yescharacteristic
182C2×D4×C61C22×C413yes—
183C22×C4×C61C22×C413yes—
184C22×C4×C61C22×C413yes—
185C22×C4×C61C2413yes—
186C2×C22⋊D61C22×C416yes—
187C22×Dic61C22×C413yes—
188C22×Dic61C22×C413yes—
189C22×Dic61C22×C413yes—
190#11758226C4⋊C418yes—
191Q8×D61C4⋊C418yes—
192#11758224C4⋊C4124yes—
193D4×D61C4⋊C4124yes—
194#11758222C2×D4112yes—
195#11758222C2×Q8112yes—
196C2×D244C22×C413yes—
197C2×C4×D61C22×C416yes—
198C2×C4×D61C22×C416yes—
199C2×C4×D61C22×C413yes—
200C2×C4×D61C22×C413yes—
201C2×C4×D61C2×D4112yes—
202C2×C4×D61C2×Q8112yes—
203C2×C4×D61C2411yescharacteristic
204C2×C4×D61C2413yes—
205C2×Dic122C22×C413yes—
206M16×C61—26no—
207M16×C61—26no—
208C2×C8×C61—26no—
209C2×C8×C61—26no—
210C2×C8×C61C2411yescharacteristic
211C2×C8×C61C2411yescharacteristic
212C2×C8×C61C2413yes—
213C2×C8×C61C2413yes—
214C4⋊C4×C61C22×C413yes—
215C4⋊C4×C61C22×C413yes—
216C22⋊C4×C61C22×C416yes—
217C42×C61C22×C413yes—
218C42×C61C22×C413yes—
219C42×C61C2411yescharacteristic
220C42×C61C2413yes—
221C22⋊Dic61C22×C416yes—
222#11758198C22×C413yes—
223#11758198C22×C413yes—
224#11758198C22×C411yescharacteristic
225#11758198C22×C411yescharacteristic
226#11758198C22×C413yes—
227#11758198C22×C413yes—
228#11758198C22×C413yes—
229#11758198C22×C413yes—
230C4⋊Dic61C22×C413yes—
231C4⋊Dic61C22×C413yes—
232#11758196C22×C413yes—
233#11758196C22×C413yes—
234#11758196C22×C411yescharacteristic
235#11758196C22×C411yescharacteristic
236#11758196C22×C413yes—
237#11758196C22×C413yes—
238#11758196C22×C413yes—
239#11758196C22×C413yes—
240C4×Dic61C22×C416yes—
241C4×Dic61C22×C416yes—
242C4×Dic61C22×C413yes—
243C4×Dic61C22×C413yes—
244C4×Dic61C2413yes—
245C4×Dic61C2411yescharacteristic
246#11758194—26no—
247#11758194—26no—
248C2×#92418—26no—
249C2×#92418—26no—
250C2×#92418C2411yescharacteristic
251C2×#92418C2413yes—
252C2×#92418C2413yes—
253C2×#92418C2411yescharacteristic
254#11758189—26no—
255#11758189—212no—
256#11758189—22no—
257#11758189—26no—
258#11758189—26no—
259C8×D61—22no—
260C8×D61—26no—
261C8×D61—26no—
262C8×D61—26no—
263C8×D61—212no—
264C23×C61C23×C413yes—
265C22×D61—43no—
266C22×D61—43no—
267C22×D61C2×C4⋊C4112yes—
268C22×D61C23×C411yescharacteristic
269C22×D61C23×C413yes—
270Q8×C61C2×C4⋊C414yes—
271D4×C61C2×C4⋊C4112yes—
272C2×C4×C61—43no—
273C2×C4×C61—43no—
274C2×C4×C61C23×C413yes—
275C2×C4×C61C23×C413yes—
276C2×C4×C61C23×C411yescharacteristic
277C2×C4×C61C23×C411yescharacteristic
278C2×C4×C61C23×C413yes—
279C2×C4×C61C22×D416yes—
280C2×C4×C61C22×Q816yes—
281C2×C4×C61C2511yescharacteristic
282C22⋊D61C2×C4⋊C4124yes—
283C2×Dic61—43no—
284C2×Dic61—43no—
285C2×Dic61C2×C4⋊C4112yes—
286C2×Dic61C23×C411yescharacteristic
287C2×Dic61C23×C411yescharacteristic
288C2×Dic61C23×C413yes—
289C2×Dic61C23×C413yes—
290C2×Dic61C23×C413yes—
291C2×Dic61C23×C411yescharacteristic
292D244C2×C4⋊C4112yes—
293C4×D61—46no—
294C4×D61—46no—
295C4×D61C2×C4⋊C4112yes—
296C4×D61C2×C4⋊C4112yes—
297C4×D61C22×D412yes—
298C4×D61C22×D416yes—
299C4×D61C22×Q812yes—
300C4×D61C22×Q816yes—
301Dic122C2×C4⋊C4112yes—
302C8×C61—21no—
303C8×C61—23no—
304C8×C61—23no—
305C8×C61—21no—
306#92418—21no—
307#92418—23no—
308#92418—23no—
309#92418—21no—
310#60100—611nomaximal, Sylow
311C22×C61—23no—
312C22×C61—23no—
313C22×C61C22×C4⋊C416yes—
314C22×C61C24×C411yescharacteristic
315C2×D61—23no—
316C2×D61—23no—
317C2×D61—21no—
318C2×D61—21no—
319C2×D61—412no—
320C2×D61C22×C4⋊C412yes—
321C2×D61C22×C4⋊C416yes—
322C4×C61—23no—
323C4×C61—23no—
324C4×C61—21no—
325C4×C61—21no—
326C4×C61C22×C4⋊C416yes—
327C4×C61C23×D411yescharacteristic
328C4×C61C23×Q811yescharacteristic
329Dic61—23no—
330Dic61—23no—
331Dic61—21no—
332Dic61—21no—
333Dic61C22×C4⋊C416yes—
334Dic61C22×C4⋊C412yes—
335C2×#568—611no—
336C22×#131—611no—
337#3428—611no—
338#2906—613no—
339#2906—613no—
340#2906—613no—
341#2906—613no—
342#2906—611no—
343#2906—611no—
344#2906—611no—
345#2906D6111yescharacteristic, complemented
346#2905—613no—
347#2905—613no—
348C2×#424—613no—
349C2×#424—613no—
350C2×C61—26no—
351C2×C61C23×C4⋊C411yescharacteristic
352C2×C61#357311yescharacteristic
353C2×C61#357311yescharacteristic
354D61—22no—
355D61—26no—
356C22×#41—611no—
357#568—1228no—
358C2×#131—611no—
359C2×#131—611no—
360C2×#131—613no—
361C2×#131—613no—
362C2×#131—613no—
363C2×#131—613no—
364C2×#131—1228no—
365C2×#131C2×D6111yescharacteristic
366C2×#131C2×D6111yescharacteristic
367C22×M16—613no—
368C22×M16—613no—
369C22×M16—613no—
370C23×C8—613no—
371#520—611no—
372#520—611no—
373#520—613no—
374#520—613no—
375#519—611no—
376#519—611no—
377#518—613no—
378#518—613no—
379C4×#41—611no—
380C4×#41—613no—
381C4×#41—613no—
382C4×#41C2×D6111yescharacteristic
383C2×#117—613no—
384C2×#117—613no—
385#424—613no—
386#424—613no—
387#424—613no—
388#424—613no—
389#424—613no—
390#424—613no—
391#424—613no—
392#424—611no—
393#424—616no—
394#424—613no—
395#424—613no—
396#424—613no—
397#424—613no—
398#424—613no—
399#424—613no—
400#424—616no—
401#424—616no—
402#424C2×D6113yescomplemented
403#424C2×D6113yescomplemented
404#423—613no—
405#423—613no—
406#423—613no—
407#423—616no—
408#423—616no—
409#423C2×D6113yescomplemented
410C2×C4⋊C8—613no—
411C2×C4⋊C8—613no—
412C2×C4⋊C8—613no—
413C2×C4⋊C8—616no—
414C2×C4⋊C8—616no—
415C2×C4⋊C8C2×D6113yescomplemented
416C61#6010011yescharacteristic, complemented, Sylow
417C2×#41—618no—
418C2×#41—618no—
419C2×#41—611no—
420C2×#41—613no—
421C2×#41—613no—
422C2×#41C22×D6111yescharacteristic
423C22×Q8—611no—
424C22×D4—613no—
425C23×C4—613no—
426#131—24no—
427#131—24no—
428#131—12212no—
429#131—12212no—
430#131—12212no—
431#131—12212no—
432#131—1224no—
433#131—1224no—
434C2×M16—613no—
435C2×M16—613no—
436C2×M16—613no—
437C2×M16—611no—
438C2×M16—616no—
439C2×M16—613no—
440C2×M16—613no—
441C2×M16—12212no—
442C2×M16—12212no—
443C2×M16—12212no—
444C2×M16C22×D6113yes—
445C2×M16C22×D6113yes—
446C22×C8—613no—
447C22×C8—613no—
448C22×C8—611no—
449C22×C8—613no—
450C22×C8—613no—
451C22×C8—613no—
452C22×C8—616no—
453C22×C8—12212no—
454C22×C8C22×D6113yes—
455C22×C8C22×D6113yes—
456C4×Q8—611no—
457C4×Q8—611no—
458C4×Q8—613no—
459C4×Q8—613no—
460C4×Q8—613no—
461C4×Q8—613no—
462C4×Q8C4×D6111yescharacteristic
463C4×Q8C4×D6111yescharacteristic
464C4×D4—613no—
465C4×D4—613no—
466C4×D4—616no—
467C4×D4—616no—
468C4×D4—613no—
469C4×D4—613no—
470C4×D4—616no—
471C4×D4—616no—
472C4×D4—613no—
473C4×D4—613no—
474C4×D4C4×D6113yes—
475C4×D4C4×D6113yes—
476#117—613no—
477#117—613no—
478#117—613no—
479#117—616no—
480#117—613no—
481#117—613no—
482#117—613no—
483#117—613no—
484#117—613no—
485#117—611no—
486#117—613no—
487#117—613no—
488#117C22×D6113yes—
489C2×C4⋊C4—613no—
490C2×C4⋊C4—613no—
491C2×C4⋊C4—613no—
492C2×C4⋊C4—613no—
493C2×C22⋊C4—613no—
494C2×C22⋊C4—613no—
495C2×C22⋊C4—616no—
496C2×C42—613no—
497C2×C42—616no—
498C2×C42C22×D6113yes—
499C4⋊C8—613no—
500C4⋊C8—611no—
501C4⋊C8—613no—
502C4⋊C8—611no—
503C4⋊C8—616no—
504C4⋊C8—616no—
505C4⋊C8—613no—
506C4⋊C8—613no—
507C4⋊C8—613no—
508C4⋊C8—613no—
509C4⋊C8—613no—
510C4⋊C8—611no—
511C4⋊C8—616no—
512C4⋊C8—613no—
513C4⋊C8—613no—
514C4⋊C8C22×D6113yes—
515C4⋊C8C22×D6116yes—
516C4⋊C8C22×D6111yescharacteristic
517C4⋊C8C22×D6113yes—
518C4⋊C8C22×D6113yes—
519C24—613no—
520#41—618no—
521#41—6124no—
522#41—6112no—
523#41—6112no—
524#41D4×D6114yes—
525#41Q8×D6114yes—
526C2×Q8—618no—
527C2×Q8—613no—
528C2×Q8C2×C4×D6111yescharacteristic
529C2×D4—616no—
530C2×D4—6124no—
531C2×D4—613no—
532C2×D4C2×C4×D6113yes—
533C22×C4—613no—
534C22×C4—613no—
535C22×C4—613no—
536C22×C4—6112no—
537C22×C4—6112no—
538C22×C4—613no—
539C22×C4—611no—
540C22×C4—613no—
541C22×C4—613no—
542C22×C4—616no—
543C22×C4—616no—
544C22×C4C2×C4×D6113yes—
545C22×C4C2×C4×D6113yes—
546C22×C4C23×D6113yes—
547M16—26no—
548M16—26no—
549M16—1222no—
550M16—1226no—
551M16—1226no—
552M16—12212no—
553M16—1226no—
554M16—1226no—
555M16—1226no—
556C2×C8—26no—
557C2×C8—26no—
558C2×C8—611no—
559C2×C8—613no—
560C2×C8—611no—
561C2×C8—613no—
562C2×C8—1222no—
563C2×C8—1226no—
564C2×C8—1226no—
565C2×C8—1226no—
566C2×C8—12212no—
567C2×C8—1226no—
568C2×C8—1226no—
569C2×C8C23×D6111yescharacteristic
570C2×C8C23×D6113yes—
571C2×C8C23×D6113yes—
572C2×C8C23×D6111yescharacteristic
573C4⋊C4—613no—
574C4⋊C4—613no—
575C4⋊C4—611no—
576C4⋊C4—611no—
577C4⋊C4—613no—
578C4⋊C4—613no—
579C4⋊C4—613no—
580C4⋊C4—613no—
581C4⋊C4—613no—
582C4⋊C4—613no—
583C4⋊C4C2×C4×D6113yes—
584C4⋊C4C2×C4×D6113yes—
585C22⋊C4—616no—
586C22⋊C4—613no—
587C22⋊C4—613no—
588C22⋊C4—611no—
589C22⋊C4—611no—
590C22⋊C4—613no—
591C22⋊C4—613no—
592C22⋊C4—613no—
593C22⋊C4—613no—
594C22⋊C4C2×C4×D6116yes—
595C42—616no—
596C42—616no—
597C42—613no—
598C42—613no—
599C42—611no—
600C42—613no—
601C42C2×C4×D6113yes—
602C42C2×C4×D6113yes—
603C42C23×D6113yes—
604C42C23×D6111yescharacteristic
605C23—611no—
606C23—613no—
607C23—6112no—
608C23—2443no—
609C23—2443no—
610C23C22×C4×D6113yes—
611Q8—6112no—
612Q8C4⋊C4×D6114yes—
613D4—6124no—
614D4—6112no—
615D4C4⋊C4×D61112yes—
616C2×C4—43no—
617C2×C4—43no—
618C2×C4—6112no—
619C2×C4—613no—
620C2×C4—611no—
621C2×C4—6112no—
622C2×C4—6112no—
623C2×C4—612no—
624C2×C4—616no—
625C2×C4—612no—
626C2×C4—616no—
627C2×C4—611no—
628C2×C4—613no—
629C2×C4—611no—
630C2×C4—613no—
631C2×C4—2446no—
632C2×C4—2446no—
633C2×C4—2443no—
634C2×C4—2443no—
635C2×C4C22×C4×D6113yes—
636C2×C4C22×C4×D6113yes—
637C2×C4C22×C4×D6111yescharacteristic
638C2×C4C22×C4×D6111yescharacteristic
639C2×C4C22×C4×D6113yes—
640C2×C4C2×D4×D6116yes—
641C2×C4C2×Q8×D6116yes—
642C2×C4C24×D6111yescharacteristic
643C8—21no—
644C8—21no—
645C8—23no—
646C8—23no—
647C8—1221no—
648C8—1223no—
649C8—1223no—
650C8—1221no—
651C22—23no—
652C22—23no—
653C22—612no—
654C22—616no—
655C22—1223no—
656C22—1221no—
657C22—1223no—
658C22—1221no—
659C22—24412no—
660C22C2×C4⋊C4×D6116yes—
661C22C23×C4×D6111yescharacteristic
662C4—21no—
663C4—23no—
664C4—21no—
665C4—23no—
666C4—612no—
667C4—616no—
668C4—1223no—
669C4—1221no—
670C4—1223no—
671C4—1221no—
672C4C2×C4⋊C4×D6116yes—
673C4C22×D4×D6111yescharacteristic
674C4C22×Q8×D6111yescharacteristic
675C2—26no—
676C2—1222no—
677C2—1226no—
678C2C22×C4⋊C4×D6111yescharacteristic
679C2#2146053011yescharacteristic
680C2#2146053211yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D61
commutator, socleC22×C61C24×C4
FittingC61×#2906C2
prime radicalC2×#41×D61C22
cosocleC2×C4×C61C25
hypercenter#2906D61
hypocenterC61#60100
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ #2906

Complements

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

NH ≅ G/Ntype
4. #21454388C2semidirect
5. #21454387C2semidirect
6. #21454386C2semidirect
7. #21454386C2semidirect
8. #21454385C2semidirect
9. #21454385C2semidirect
10. #21454384C2semidirect
11. #21454381C2semidirect
12. #21454380C2semidirect
13. C2×#16839787C2semidirect
14. #424×D61C2semidirect
15. C61×#2906C2semidirect
42. #16839790C22semidirect
43. #16839790C22semidirect
44. #16839789C22semidirect
45. #16839789C22semidirect
46. #16839788C22semidirect
47. #16839788C22semidirect
53. #16839787C22semidirect
54. #16839787C22semidirect
55. #16839787C22semidirect
56. #16839787C22semidirect
57. #16839787C22semidirect
58. #16839787C22semidirect
59. #16839786C22semidirect
60. #16839785C22semidirect
61. #16839785C22semidirect
62. #16839784C22semidirect
63. #16839784C22semidirect
64. C2×C4⋊#92418C22semidirect
65. C2×#14519706C22semidirect
66. C2×#14519706C22semidirect
67. C4⋊C8×D61C22semidirect
68. C4⋊C8×D61C22semidirect
72. C61×#424C22semidirect
73. C61×#424C22semidirect
74. C61×#423C22semidirect
75. C2×C4⋊C8×C61C22semidirect
345. #2906D61semidirect
402. #424C2×D61semidirect
403. #424C2×D61semidirect
409. #423C2×D61semidirect
415. C2×C4⋊C8C2×D61semidirect
416. C61#60100semidirect

Maximal subgroups

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

subgroupindex
C2×#168405272
C2×#131×D612
#214590182
#214543882
#214543872
#214543862
#214543852
#214543842
#214543812
#214543802
C2×#168397872
#424×D612
C61×#29062
#6010061