Finite Group Databasebeta

← #30547358

Subgroups — #30547358

Order 15616.

2734 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840570C211yesmaximal, characteristic, complemented
2C2×#16840529C211yesmaximal, characteristic, complemented
3#21459488C211yesmaximal, characteristic, complemented
4#21455506C213yesmaximal, complemented
5#21455501C213yesmaximal, complemented
6#21455486C213yesmaximal, complemented
7#21455460C213yesmaximal, complemented
8#21455445C213yesmaximal, complemented
9#21455440C213yesmaximal, complemented
10#21455425C213yesmaximal, complemented
11C2×#16840010C213yesmaximal, complemented
12#21454417C211yesmaximal, characteristic, complemented
13#21454352C211yesmaximal, characteristic, complemented
14#21454342C211yesmaximal, characteristic, complemented
15C61×#3489C211yesmaximal, characteristic, complemented
16C2×#14519823C2211yescharacteristic
17#16840570—28no—
18C2×#14519808C2213yescomplemented
19C2×#14519802C2213yescomplemented
20C2×#14519797C2213yescomplemented
21C22×#11758201C2213yescomplemented
22#16840529—28no—
23C2×#14519784C2211yescharacteristic
24C2×#14519784C2211yescharacteristic
25C2×#14519784C2213yescomplemented
26C2×#14519784C2213yescomplemented
27C22×#11758194C2213yescomplemented
28C22×#11758194C2213yescomplemented
29#16840431—21no—
30#16840423—21no—
31#16840400—23no—
32D4×C22⋊D61—23no—
33#16840340C2213yes—
34#16840326C2213yes—
35#16840273C2213yes—
36C2×#14519751C2213yes—
37#16840245C2211yescharacteristic
38#16840018C2213yescomplemented
39#16840018C2213yescomplemented
40#16840013C2213yescomplemented
41#16840013C2213yescomplemented
42#16840010C2213yescomplemented
43#16840010C2216yescomplemented
44#16840010C2216yescomplemented
45#16840010C2216yescomplemented
46#16840010C2213yescomplemented
47#16840006C2211yescharacteristic, complemented
48#16840006C2213yescomplemented
49#16840001C2216yescomplemented
50#16839996C2216yescomplemented
51#16839993C2216yescomplemented
52#16839993C2216yescomplemented
53#16839805C2213yescomplemented
54#16839802C2213yescomplemented
55#16839798C2213yescomplemented
56C2×#14519710C2213yescomplemented
57#16839771C2213yescomplemented
58#16839766C2213yescomplemented
59#16839763C2213yescomplemented
60#16839761C2213yescomplemented
61#16839758C2213yescomplemented
62#16839756C2213yescomplemented
63C2×#14519701C2213yescomplemented
64C2×#14519697C2213yescomplemented
65C2×2−1+4×C61C2211yescharacteristic
66C22×#41×C61C2211yescharacteristic
67D4×Q8×C61—21no—
68C61×#548—21no—
69C61×#547—23no—
70C61×#546—23no—
71C61×#537C2213yescomplemented
72C61×#536C2213yescomplemented
73C61×#525C2213yescomplemented
74C2×C22⋊Q8×C61C2213yescomplemented
75C61×#520C2211yescharacteristic
76#14519823—24no—
77#14519823—24no—
78C2×#11758226—21no—
79C2×#11758222C2313yes—
80C22×D244C2313yes—
81C22×C22⋊D61—23no—
82C2×D4×D61—23no—
83#14519808—212no—
84#14519802—212no—
85#14519797—212no—
86C2×#11758202C2313yes—
87C2×#11758200C2311yescharacteristic
88C2×#11758201—212no—
89C2×#11758201C2316yes—
90C2×#11758201C2313yes—
91C2×#11758199C2313yes—
92#14519784—24no—
93#14519784—212no—
94#14519784—212no—
95#14519784D418yescomplemented
96C2×#11758194—212no—
97C2×#11758194—212no—
98C2×#11758194C2311yescharacteristic
99C2×#11758194C2313yes—
100C2×#11758194C2313yes—
101C2×#11758194C2313yes—
102C2×#11758194C2313yes—
103C2×#11758194C2313yes—
104C22×#92418C2316yes—
105C22×#92418C2313yes—
106C22×#92418C2313yes—
107#14519773—23no—
108#14519766—23no—
109#14519760—23no—
110#14519756C2313yes—
111#14519756C2311yescharacteristic
112#14519753—23no—
113#14519751—23no—
114#14519751—23no—
115#14519751C2313yes—
116#14519751C2316yes—
117#14519751C2313yes—
118#14519749—26no—
119#14519748—23no—
120#14519746—23no—
121#14519745—26no—
122Q8×Dic61—21no—
123D4×Dic61—23no—
124C4×C22⋊D61—23no—
125C4×C22⋊D61—23no—
126#14519736C2313yes—
127C2×C4⋊Dic61C2313yes—
128C2×#11758198—23no—
129#14519710C2316yes—
130#14519710C2313yes—
131#14519710C2311yescharacteristic
132#14519708C2313yes—
133#14519708C2313yes—
134#14519701C2313yes—
135#14519701C2316yes—
136#14519701C2313yes—
137#14519700C2313yes—
138#14519700C2311yescharacteristic
139#14519698C2313yes—
140#14519698C2311yescharacteristic
141#14519697C2313yes—
142#14519697C2316yes—
143#14519697C2313yes—
1442−1+4×C61—24no—
1452−1+4×C61—24no—
146C2×#41×C61—24no—
147C2×#41×C61—24no—
148C2×#41×C61—23no—
149C2×#41×C61D413yes—
150C2×#41×C61D411yescharacteristic
151C2×#41×C61C2313yes—
152C2×#41×C61C2313yes—
153C2×#41×C61C2311yescharacteristic
154C22×Q8×C61—21no—
155C22×Q8×C61D411yescharacteristic
156C22×Q8×C61C2313yes—
157C22×D4×C61D413yes—
158C23×C4×C61C2313yes—
159C4⋊Q8×C61—23no—
160#124×C61—23no—
161#123×C61—26no—
162#123×C61—23no—
163C22⋊Q8×C61—23no—
164C22⋊Q8×C61—23no—
165C22⋊Q8×C61—23no—
166C22⋊Q8×C61C2313yes—
167C22⋊Q8×C61C2316yes—
168C22⋊Q8×C61C2313yes—
169#121×C61—26no—
170#121×C61—23no—
171#121×C61C2313yes—
172#121×C61C2311yescharacteristic
173#120×C61—23no—
174C4×Q8×C61—21no—
175C4×D4×C61—23no—
176C4×D4×C61—23no—
177C4×D4×C61—23no—
178#117×C61C2313yes—
179C2×C4⋊C4×C61—23no—
180C2×C4⋊C4×C61C2313yes—
181C2×C22⋊C4×C61—23no—
182C24×C61C2×D413yes—
183C23×D61—23no—
184#41×C61—24no—
185#41×C61—212no—
186#41×C61—26no—
187#41×C61—26no—
188#41×C61—26no—
189#41×C61—26no—
190#41×C61—412no—
191#41×C61C2×D414yes—
192#41×C61#4114yes—
193C2×Q8×C61—24no—
194C2×Q8×C61—23no—
195C2×Q8×C61—26no—
196C2×Q8×C61—26no—
197C2×Q8×C61—44no—
198C2×Q8×C61C2×D413yes—
199C2×Q8×C61C2×D411yescharacteristic
200C2×Q8×C61C2413yes—
201C2×D4×C61—212no—
202C2×D4×C61—21no—
203C2×D4×C61—23no—
204C2×D4×C61—23no—
205C2×D4×C61C2×D416yes—
206C2×D4×C61C2×D413yes—
207C2×D4×C61C2×D413yes—
208C2×D4×C61C2411yescharacteristic
209C22×C4×C61—26no—
210C22×C4×C61—26no—
211C22×C4×C61—23no—
212C22×C4×C61—23no—
213C22×C4×C61—23no—
214C22×C4×C61C2×D413yes—
215C22×C4×C61C2×D413yes—
216C22×C4×C61C2×D413yes—
217C22×C4×C61C2411yescharacteristic
218C22×C4×C61C2413yes—
219C22×C4×C61C2413yes—
220C2×C22⋊D61—23no—
221C2×C22⋊D61—23no—
222C2×C22⋊D61—26no—
223C2×C22⋊D61—23no—
224C2×C22⋊D61—86no—
225C22×Dic61—23no—
226#11758226—44no—
227D4×D61—412no—
228#11758222—26no—
229#11758222—26no—
230C2×D244—26no—
231C2×D244—26no—
232C2×D244—23no—
233C2×D244C2413yes—
234C2×C4×D61—23no—
235C2×Dic122C2411yescharacteristic
236C4⋊C4×C61—23no—
237C4⋊C4×C61—26no—
238C4⋊C4×C61—23no—
239C4⋊C4×C61—23no—
240C4⋊C4×C61C2413yes—
241C4⋊C4×C61C2411yescharacteristic
242C22⋊C4×C61—23no—
243C22⋊C4×C61—26no—
244C22⋊C4×C61—23no—
245C22⋊C4×C61—23no—
246C22⋊C4×C61—21no—
247C22⋊C4×C61—23no—
248C42×C61—23no—
249C22⋊Dic61—23no—
250C22⋊Dic61—21no—
251C22⋊Dic61—23no—
252#11758202—26no—
253#11758201—212no—
254#11758201—26no—
255#11758200—22no—
256#11758199—26no—
257#11758198—23no—
258#11758198—26no—
259#11758198—23no—
260C4⋊Dic61—23no—
261C4⋊Dic61C2411yescharacteristic
262C4⋊Dic61C2413yes—
263#11758196—21no—
264#11758196—23no—
265C4×Dic61—23no—
266#11758194—26no—
267#11758194—26no—
268#11758194—22no—
269#11758194—26no—
270#11758194—26no—
271#11758194C2×D4112yescomplemented
272C2×#92418—26no—
273C2×#92418—212no—
274C2×#92418C2×D4112yescomplemented
275C2×#92418C2413yes—
276C2×#92418C2411yescharacteristic
277C2×#92418C2413yes—
278C2×#92418C2411yescharacteristic
279C23×C61—26no—
280C23×C61—21no—
281C23×C61—43no—
282C23×C61—43no—
283C23×C61C22×D411yescharacteristic
284C23×C61C22×D413yes—
285C23×C61C22×D413yes—
286C22×D61—23no—
287C22×D61—46no—
288C22×D61—83no—
289C22×D61—83no—
290Q8×C61—26no—
291Q8×C61—23no—
292Q8×C61—23no—
293Q8×C61—46no—
294Q8×C61#12114yes—
295D4×C61—212no—
296D4×C61—26no—
297D4×C61—21no—
298D4×C61—21no—
299D4×C61—42no—
300D4×C61—46no—
301D4×C61—83no—
302D4×C61#121112yes—
303C2×C4×C61—26no—
304C2×C4×C61—26no—
305C2×C4×C61—26no—
306C2×C4×C61—23no—
307C2×C4×C61—21no—
308C2×C4×C61—21no—
309C2×C4×C61—23no—
310C2×C4×C61—21no—
311C2×C4×C61—23no—
312C2×C4×C61—23no—
313C2×C4×C61—46no—
314C2×C4×C61—46no—
315C2×C4×C61—83no—
316C2×C4×C61C22×D411yescharacteristic
317C2×C4×C61C22×D413yes—
318C2×C4×C61C22×D413yes—
319C2×C4×C61C22×D416yes—
320C2×C4×C61C2×#4116yes—
321C2×C4×C61C2511yescharacteristic
322C22⋊D61—46no—
323C22⋊D61—46no—
324C22⋊D61—83no—
325C22⋊D61—86no—
326C2×Dic61—21no—
327C2×Dic61—23no—
328C2×Dic61—21no—
329C2×Dic61—83no—
330D244—23no—
331D244—23no—
332D244—46no—
333C4×D61—46no—
334Dic122—21no—
335Dic122—21no—
336#92418—21no—
337#92418—23no—
338#92418C22×D416yes—
339#92418C22×D412yes—
340#60460—611nomaximal, Sylow
341C22×C61—23no—
342C22×C61—23no—
343C22×C61—21no—
344C22×C61—23no—
345C22×C61—23no—
346C22×C61—21no—
347C22×C61—21no—
348C22×C61—23no—
349C22×C61—41no—
350C22×C61—41no—
351C22×C61—41no—
352C22×C61—86no—
353C22×C61C2×#12116yes—
354C22×C61C23×D411yescharacteristic
355C2×D61—43no—
356C2×D61—43no—
357C2×D61—43no—
358C2×D61—166no—
359C4×C61—21no—
360C4×C61—23no—
361C4×C61—43no—
362C4×C61—41no—
363C4×C61—43no—
364C4×C61C2×#12116yes—
365C4×C61C23×D411yescharacteristic
366C4×C61C22×#4111yescharacteristic
367Dic61—43no—
368Dic61—41no—
369Dic61—41no—
370C2×#577—611no—
371C2×#568—611no—
372#3489D6111yescharacteristic, complemented
373#3488—611no—
374#3063—613no—
375#3062—613no—
376#3061—613no—
377#3057—613no—
378#3056—613no—
379#3055—613no—
380#3054—613no—
381C2×#468—613no—
382#2913—611no—
383#2898—611no—
384#2897—611no—
385C2×C61—26no—
386C2×C61—43no—
387C2×C61—41no—
388C2×C61—81no—
389C2×C61C22×#12111yescharacteristic
390C2×C61#358511yescharacteristic
391C2×C61#358611yescharacteristic
392D61—83no—
393C2×2−1+4C2×D6111yescharacteristic
394C2×H(5,𝔽2)—611no—
395C22×#41C2×D6111yescharacteristic
396#577—1228no—
397C2×#137—613no—
398C2×AGL(1,ℤ/8)—613no—
399C2×#135—613no—
400C22×SD16—613no—
401#568—1228no—
402C2×#131—611no—
403C2×#131—611no—
404C2×#131—613no—
405C2×#131—613no—
406C22×M16—613no—
407C22×M16—613no—
408#550—1221no—
409D4×Q8—21no—
410#548—21no—
411#548—1221no—
412#547—23no—
413#546—23no—
414#546—1223no—
415D42—1223no—
416#537—613no—
417#537C2×D6113yescomplemented
418#536C2×D6113yescomplemented
419#535—613no—
420#525—613no—
421#525C2×D6113yescomplemented
422C2×C22⋊Q8C2×D6113yescomplemented
423C2×#121—613no—
424#520—611no—
425#520C2×D6111yescharacteristic
426#470—613no—
427#470—613no—
428#469—613no—
429#469—613no—
430#468—613no—
431#468—616no—
432#468—616no—
433#468—616no—
434#468—613no—
435#468—611no—
436#468—613no—
437#467—616no—
438#466—616no—
439#465—616no—
440#465—616no—
441#428—613no—
442#428—613no—
443#427—613no—
444C2×#107—613no—
445#419—613no—
446#418—613no—
447#417—613no—
448#417—613no—
449#416—613no—
450#416—613no—
451C2×#103—613no—
452C2×#102—613no—
453C61#6046011yescharacteristic, complemented, Sylow
4542−1+4—24no—
4552−1+4—24no—
456H(5,𝔽2)—1224no—
457H(5,𝔽2)—1224no—
458C2×#41—24no—
459C2×#41—24no—
460C2×#41—23no—
461C2×#41—613no—
462C2×#41—1221no—
463C2×#41C22⋊D6113yes—
464C2×#41C22⋊D6111yescharacteristic
465C2×#41C22×D6113yes—
466C2×#41C22×D6113yes—
467C2×#41C22×D6111yescharacteristic
468C22×Q8—21no—
469C22×Q8C22⋊D6111yescharacteristic
470C22×Q8C22×D6113yes—
471C22×D4—613no—
472C22×D4—1223no—
473C22×D4—1223no—
474C22×D4C22⋊D6113yes—
475C23×C4C22×D6113yes—
476#137—12212no—
477AGL(1,ℤ/8)—12212no—
478#135—12212no—
479C2×Q16—613no—
480C2×SD16—613no—
481C2×SD16—616no—
482C2×SD16—611no—
483C2×SD16—12212no—
484C2×D8—613no—
485#131—618no—
486#131—12212no—
487#131—12212no—
488#131—1224no—
489C2×M16—613no—
490C2×M16—611no—
491C2×M16—613no—
492C2×M16—613no—
493C2×M16—613no—
494C2×M16—613no—
495C2×M16—12212no—
496C2×M16—12212no—
497C22×C8—613no—
498C22×C8—613no—
499C22×C8—616no—
500C4⋊Q8—23no—
501#127—1223no—
502#124—23no—
503#124—1223no—
504#123—26no—
505#123—23no—
506#123—1223no—
507C22⋊Q8—23no—
508C22⋊Q8—23no—
509C22⋊Q8—23no—
510C22⋊Q8—611no—
511C22⋊Q8—613no—
512C22⋊Q8—1223no—
513C22⋊Q8C22×D6113yes—
514C22⋊Q8C22×D6116yes—
515C22⋊Q8C22×D6113yes—
516#121—26no—
517#121—23no—
518#121—613no—
519#121—616no—
520#121—613no—
521#121—1226no—
522#121—1223no—
523#121—1223no—
524#121—1223no—
525#121C22×D6111yescharacteristic
526#121C22×D6113yes—
527#120—23no—
528#120—1223no—
529#120—1226no—
530C4×Q8—21no—
531C4×Q8—1221no—
532C4×D4—23no—
533C4×D4—23no—
534C4×D4—23no—
535C4×D4—1223no—
536C4×D4—1223no—
537C4×D4—1223no—
538#117—613no—
539#117C22×D6113yes—
540C2×C4⋊C4—23no—
541C2×C4⋊C4—613no—
542C2×C4⋊C4C22×D6113yes—
543C2×C22⋊C4—23no—
544C2×C22⋊C4—1223no—
545#107—613no—
546#107—616no—
547#107—611no—
548#106—613no—
549#106—613no—
550#103—613no—
551#103—616no—
552#103—613no—
553#103—611no—
554#103—613no—
555#102—611no—
556#102—613no—
557#102—613no—
558#102—616no—
559#102—613no—
560C24—1223no—
561C24C2×C22⋊D6113yes—
562#41—24no—
563#41—212no—
564#41—26no—
565#41—26no—
566#41—26no—
567#41—26no—
568#41—412no—
569#41—1226no—
570#41—1226no—
571#41—2444no—
572#41D4×D6114yes—
573#41#1175822414yes—
574C2×Q8—24no—
575C2×Q8—23no—
576C2×Q8—26no—
577C2×Q8—26no—
578C2×Q8—44no—
579C2×Q8—611no—
580C2×Q8C2×C22⋊D6113yes—
581C2×Q8C2×C22⋊D6111yescharacteristic
582C2×Q8C23×D6113yes—
583C2×D4—212no—
584C2×D4—21no—
585C2×D4—23no—
586C2×D4—23no—
587C2×D4—613no—
588C2×D4—1223no—
589C2×D4—1226no—
590C2×D4—1223no—
591C2×D4—1223no—
592C2×D4—1226no—
593C2×D4—1223no—
594C2×D4—1226no—
595C2×D4—4886no—
596C2×D4—24412no—
597C2×D4C2×C22⋊D6116yes—
598C2×D4C2×C22⋊D6113yes—
599C2×D4C2×C22⋊D6113yes—
600C2×D4C23×D6111yescharacteristic
601C22×C4—26no—
602C22×C4—26no—
603C22×C4—23no—
604C22×C4—23no—
605C22×C4—23no—
606C22×C4—1223no—
607C22×C4—1223no—
608C22×C4C2×C22⋊D6113yes—
609C22×C4C2×C22⋊D6113yes—
610C22×C4C2×C22⋊D6113yes—
611C22×C4C23×D6113yes—
612C22×C4C23×D6111yescharacteristic
613C22×C4C23×D6113yes—
614Q16—1226no—
615SD16—1222no—
616SD16—1226no—
617SD16—12212no—
618D8—1226no—
619M16—6112no—
620M16—1222no—
621M16—1226no—
622M16—1226no—
623M16—1226no—
624M16—1226no—
625C2×C8—6112no—
626C2×C8—613no—
627C2×C8—611no—
628C2×C8—611no—
629C2×C8—613no—
630C2×C8—12212no—
631C2×C8—1226no—
632C4⋊C4—23no—
633C4⋊C4—26no—
634C4⋊C4—23no—
635C4⋊C4—23no—
636C4⋊C4—611no—
637C4⋊C4—613no—
638C4⋊C4—1223no—
639C4⋊C4—1221no—
640C4⋊C4—1223no—
641C4⋊C4C23×D6111yescharacteristic
642C4⋊C4C23×D6113yes—
643C22⋊C4—23no—
644C22⋊C4—26no—
645C22⋊C4—23no—
646C22⋊C4—23no—
647C22⋊C4—21no—
648C22⋊C4—23no—
649C22⋊C4—1223no—
650C22⋊C4—1221no—
651C22⋊C4—1223no—
652C22⋊C4—1223no—
653C22⋊C4—1226no—
654C22⋊C4—1223no—
655C42—23no—
656C42—1223no—
657C23—26no—
658C23—21no—
659C23—43no—
660C23—43no—
661C23—1223no—
662C23—4883no—
663C23—4883no—
664C23—2446no—
665C23C22×C22⋊D6111yescharacteristic
666C23C22×C22⋊D6113yes—
667C23C22×C22⋊D6113yes—
668Q8—26no—
669Q8—23no—
670Q8—23no—
671Q8—46no—
672Q8—1221no—
673Q8—1221no—
674Q8#1451974914yes—
675D4—212no—
676D4—26no—
677D4—21no—
678D4—21no—
679D4—42no—
680D4—46no—
681D4—83no—
682D4—1223no—
683D4—1223no—
684D4—4883no—
685D4—4886no—
686D4—2446no—
687D4—2446no—
688D4—2446no—
689D4#14519749112yes—
690C2×C4—26no—
691C2×C4—26no—
692C2×C4—26no—
693C2×C4—23no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—23no—
697C2×C4—21no—
698C2×C4—23no—
699C2×C4—23no—
700C2×C4—46no—
701C2×C4—46no—
702C2×C4—83no—
703C2×C4—1221no—
704C2×C4—1223no—
705C2×C4—1221no—
706C2×C4—4883no—
707C2×C4—2446no—
708C2×C4C2×D4×D6116yes—
709C2×C4C22×C22⋊D6111yescharacteristic
710C2×C4C22×C22⋊D6113yes—
711C2×C4C22×C22⋊D6113yes—
712C2×C4C2×#1175822416yes—
713C2×C4C24×D6111yescharacteristic
714C8—612no—
715C8—616no—
716C8—1223no—
717C8—1221no—
718C22—23no—
719C22—23no—
720C22—21no—
721C22—23no—
722C22—23no—
723C22—21no—
724C22—21no—
725C22—23no—
726C22—41no—
727C22—41no—
728C22—41no—
729C22—86no—
730C22—9766no—
731C22—2443no—
732C22—2443no—
733C22—2443no—
734C22C2×#1451974916yes—
735C22C23×C22⋊D6111yescharacteristic
736C4—21no—
737C4—23no—
738C4—43no—
739C4—43no—
740C4—41no—
741C4—2441no—
742C4—2443no—
743C4—2441no—
744C4C2×#1451974916yes—
745C4C22×D4×D6111yescharacteristic
746C4C22×#1175822411yescharacteristic
747C2—26no—
748C2—41no—
749C2—43no—
750C2—81no—
751C2—4883no—
752C2C22×#1451974911yescharacteristic
753C2#2146059811yescharacteristic
754C2#2146060611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3489C2
socleC22×C61C23×D4
hypercenter#3489D61
hypocenterC61#60460
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×#41 ◁ #3489

Complements

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

NH ≅ G/Ntype
1. C2×#16840570C2semidirect
2. C2×#16840529C2semidirect
3. #21459488C2semidirect
4. #21455506C2semidirect
5. #21455501C2semidirect
6. #21455486C2semidirect
7. #21455460C2semidirect
8. #21455445C2semidirect
9. #21455440C2semidirect
10. #21455425C2semidirect
11. C2×#16840010C2semidirect
12. #21454417C2semidirect
13. #21454352C2semidirect
14. #21454342C2semidirect
15. C61×#3489C2semidirect
18. C2×#14519808C22semidirect
19. C2×#14519802C22semidirect
20. C2×#14519797C22semidirect
21. C22×#11758201C22semidirect
25. C2×#14519784C22semidirect
26. C2×#14519784C22semidirect
27. C22×#11758194C22semidirect
28. C22×#11758194C22semidirect
38. #16840018C22semidirect
39. #16840018C22semidirect
40. #16840013C22semidirect
41. #16840013C22semidirect
42. #16840010C22semidirect
43. #16840010C22semidirect
44. #16840010C22semidirect
45. #16840010C22semidirect
46. #16840010C22semidirect
47. #16840006C22semidirect
48. #16840006C22semidirect
49. #16840001C22semidirect
50. #16839996C22semidirect
51. #16839993C22semidirect
52. #16839993C22semidirect
53. #16839805C22semidirect
54. #16839802C22semidirect
55. #16839798C22semidirect
56. C2×#14519710C22semidirect
57. #16839771C22semidirect
58. #16839766C22semidirect
59. #16839763C22semidirect
60. #16839761C22semidirect
61. #16839758C22semidirect
62. #16839756C22semidirect
63. C2×#14519701C22semidirect
64. C2×#14519697C22semidirect
71. C61×#537C22semidirect
72. C61×#536C22semidirect
73. C61×#525C22semidirect
74. C2×C22⋊Q8×C61C22semidirect
95. #14519784D4semidirect
271. #11758194C2×D4semidirect
274. C2×#92418C2×D4semidirect
372. #3489D61semidirect
417. #537C2×D61semidirect
418. #536C2×D61semidirect
421. #525C2×D61semidirect
422. C2×C22⋊Q8C2×D61semidirect
453. C61#60460semidirect

Maximal subgroups

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

subgroupindex
C2×#168405702
C2×#168405292
#214594882
#214555062
#214555012
#214554862
#214554602
#214554452
#214554402
#214554252
C2×#168400102
#214544172
#214543522
#214543422
C61×#34892
#6046061