Finite Group Databasebeta

← #30549570

Subgroups — #30549570

Order 15616.

3178 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×#16840577C211yesmaximal, characteristic, complemented
2C2×#16840573C211yesmaximal, characteristic, complemented
3C2×#16840570C211yesmaximal, characteristic, complemented
4C2×#16840565C211yesmaximal, characteristic, complemented
5#21459612C211yesmaximal, characteristic, complemented
6#21456310C213yesmaximal, complemented
7#21456302C213yesmaximal, complemented
8#21456297C213yesmaximal, complemented
9#21456291C213yesmaximal, complemented
10#21456287C213yesmaximal, complemented
11#21456283C213yesmaximal, complemented
12#21456245C213yesmaximal, complemented
13C2×#16840144C213yesmaximal, complemented
14C4×#14519784C211yesmaximal, characteristic, complemented
15C61×#3500C211yesmaximal, characteristic, complemented
16C2×#14519824C2211yescharacteristic
17C2×#14519823C2211yescharacteristic
18#16840577—28no—
19#16840573—28no—
20#16840570—28no—
21#16840565—28no—
22C2×#14519808C2213yescomplemented
23C2×#14519808C2213yescomplemented
24C2×#14519807C2213yescomplemented
25C2×#14519807C2213yescomplemented
26C2×#14519803C2213yes—
27C2×#14519803C2213yescomplemented
28C2×#14519802C2213yes—
29C2×#14519802C2213yescomplemented
30C2×#14519797C2213yes—
31C2×#14519797C2213yescomplemented
32C2×#14519797C2213yescomplemented
33C2×#14519797C2213yescomplemented
34C22×#11758202C2213yescomplemented
35C22×#11758200C2213yescomplemented
36C22×#11758201C2213yescomplemented
37C22×#11758199C2213yes—
38C2×#14519784C2211yescharacteristic
39C2×#14519784C2211yescharacteristic
40#16840424—22no—
41#16840407—26no—
42#16840338C2213yescomplemented
43#16840331C2213yescomplemented
44#16840312C2213yescomplemented
45C2×#14519765C2213yescomplemented
46#16840157C2216yescomplemented
47#16840154C2216yescomplemented
48#16840152C2216yescomplemented
49#16840149C2216yescomplemented
50#16840144C2213yescomplemented
51#16840144C2216yescomplemented
52#16840144C2216yescomplemented
53#16840144C2216yescomplemented
54#16840144C2211yescharacteristic, complemented
55#16840144C2213yescomplemented
56#16840144C2213yescomplemented
57#16840141C2213yescomplemented
58#16840138C2213yescomplemented
59#16840136C2213yescomplemented
60#16840134C2213yescomplemented
61#16839718C2213yescomplemented
62#16839718C2213yescomplemented
63C4×#11758194C2213yescomplemented
64C2×C4×#92418C2213yescomplemented
65C2×2−1+4×C61C2211yescharacteristic
66C2×H(5,𝔽2)×C61C2211yescharacteristic
67C61×#548—22no—
68C61×#546—26no—
69C61×#536C2213yescomplemented
70C61×#535C2213yescomplemented
71C61×#532C2213yescomplemented
72C2×#124×C61C2213yescomplemented
73C4×#41×C61C2211yescharacteristic
74#14519824—24no—
75#14519824—24no—
76#14519823—24no—
77#14519823—24no—
78C2×#11758226—21no—
79C2×#11758222C2313yes—
80C2×#11758222C2313yes—
81C2×#11758224—23no—
82C22×Dic122C2313yes—
83C2×Q8×D61—21no—
84C22×D244C2313yes—
85C2×D4×D61—23no—
86#14519808—212no—
87#14519808—212no—
88#14519807—212no—
89#14519807—212no—
90#14519803—212no—
91#14519803—212no—
92#14519802—212no—
93#14519802—212no—
94#14519797—212no—
95#14519797—212no—
96#14519797—212no—
97#14519797—212no—
98C2×#11758202—212no—
99C2×#11758202C2313yes—
100C2×#11758202C2316yes—
101C2×#11758202C2311yescharacteristic
102C2×#11758202C2313yes—
103C2×#11758202C2313yes—
104C2×#11758200—212no—
105C2×#11758200C2313yes—
106C2×#11758200C2316yes—
107C2×#11758200C2313yes—
108C2×#11758200C2311yescharacteristic
109C2×#11758200C2313yes—
110C2×#11758201—212no—
111C2×#11758201C2313yes—
112C2×#11758201C2316yes—
113C2×#11758201C2313yes—
114C2×#11758201C2311yescharacteristic
115C2×#11758201C2313yes—
116C2×#11758199—212no—
117C2×#11758199C2313yes—
118C2×#11758199C2316yes—
119C2×#11758199C2311yescharacteristic
120C2×#11758199C2313yes—
121C2×#11758199C2313yes—
122#14519784D418yescomplemented
123#14519784D418yescomplemented
124C2×#11758194C2313yes—
125C2×#11758194C2313yes—
126C22×#92418C2313yes—
127C22×#92418C2313yes—
128#14519777C2313yes—
129#14519774C2313yes—
130#14519765—26no—
131#14519765C2313yes—
132#14519765C2316yes—
133#14519765C2311yescharacteristic
134#14519761—26no—
135#14519757—26no—
136#14519752—26no—
137#14519751—26no—
138#14519747—26no—
139C4×D244—26no—
140C2×#11758198—26no—
141#14519688C2316yes—
142C4×#92418C2311yescharacteristic
143C4×#92418C2313yes—
144C4×#92418C2313yes—
145C4×#92418C2313yes—
1462−1+4×C61—24no—
1472−1+4×C61—24no—
148H(5,𝔽2)×C61—24no—
149H(5,𝔽2)×C61—24no—
150C2×#41×C61—21no—
151C2×#41×C61—23no—
152C2×#41×C61C2313yes—
153C2×#41×C61C2313yes—
154C2×#41×C61C2311yescharacteristic
155C22×Q8×C61—21no—
156C22×Q8×C61C2313yes—
157C22×D4×C61—23no—
158C22×D4×C61C2313yes—
159C4⋊Q8×C61C2313yes—
160#127×C61C2313yes—
161#124×C61—26no—
162#124×C61C2311yescharacteristic
163#124×C61C2313yes—
164#124×C61C2316yes—
165#123×C61—26no—
166C22⋊Q8×C61—26no—
167#121×C61—26no—
168#121×C61—26no—
169#120×C61—26no—
170C4×Q8×C61D412yes—
171C4×D4×C61—26no—
172C4×D4×C61D416yes—
173#117×C61C2313yes—
174C2×C22⋊C4×C61—26no—
175C2×C42×C61C2313yes—
176C24×C61—23no—
177C23×D61—23no—
178#41×C61—26no—
179#41×C61—26no—
180#41×C61—26no—
181#41×C61—26no—
182#41×C61—44no—
183#41×C61—412no—
184#41×C61C2×D414yes—
185#41×C61C2×D414yes—
186C2×Q8×C61—23no—
187C2×Q8×C61—26no—
188C2×Q8×C61—26no—
189C2×Q8×C61—44no—
190C2×Q8×C61C2×D411yescharacteristic
191C2×Q8×C61C2413yes—
192C2×Q8×C61C2411yescharacteristic
193C2×D4×C61—23no—
194C2×D4×C61—23no—
195C2×D4×C61—26no—
196C2×D4×C61—26no—
197C2×D4×C61—23no—
198C2×D4×C61—26no—
199C2×D4×C61—412no—
200C2×D4×C61C2×D413yes—
201C2×D4×C61C2413yes—
202C2×D4×C61C2411yescharacteristic
203C22×C4×C61—23no—
204C22×C4×C61—23no—
205C22×C4×C61—23no—
206C22×C4×C61C2×D416yes—
207C22×C4×C61C2413yes—
208C2×C22⋊D61—23no—
209C2×C22⋊D61—23no—
210C22×Dic61—23no—
211#11758226—44no—
212Q8×D61—44no—
213#11758224—412no—
214D4×D61—412no—
215#11758222—26no—
216#11758222—26no—
217#11758222—26no—
218#11758222—26no—
219C2×D244—26no—
220C2×D244—26no—
221C2×D244—23no—
222C2×D244—26no—
223C2×D244C2413yes—
224C2×D244C2411yescharacteristic
225C2×C4×D61—23no—
226C2×C4×D61—23no—
227C2×Dic122—26no—
228C2×Dic122—26no—
229C2×Dic122—23no—
230C2×Dic122C2413yes—
231C2×Dic122C2411yescharacteristic
232C4⋊C4×C61—26no—
233C4⋊C4×C61C2×D416yes—
234C22⋊C4×C61—26no—
235C22⋊C4×C61—212no—
236C22⋊C4×C61—22no—
237C22⋊C4×C61C2×D416yes—
238C42×C61C2×D416yes—
239C42×C61C2411yescharacteristic
240C42×C61C2413yes—
241#11758202—26no—
242#11758202—212no—
243#11758202—26no—
244#11758202—22no—
245#11758202—26no—
246#11758201—26no—
247#11758201—212no—
248#11758201—26no—
249#11758201—22no—
250#11758201—26no—
251#11758200—26no—
252#11758200—212no—
253#11758200—22no—
254#11758200—26no—
255#11758200—26no—
256#11758199—26no—
257#11758199—212no—
258#11758199—22no—
259#11758199—26no—
260#11758199—26no—
261#11758198—26no—
262#11758198—212no—
263#11758198—22no—
264C4⋊Dic61—26no—
265#11758194C2×D4112yes—
266#11758194C2×D4112yes—
267C2×#92418C2×D4112yes—
268C2×#92418C2×D4112yes—
269C2×#92418C2411yescharacteristic
270C2×#92418C2411yescharacteristic
271C2×#92418C2413yes—
272C2×#92418C2413yes—
273C23×C61—23no—
274C23×C61—21no—
275C23×C61—46no—
276C23×C61—86no—
277C23×C61C22×D413yes—
278C22×D61—23no—
279C22×D61—21no—
280C22×D61—46no—
281C22×D61—86no—
282Q8×C61—23no—
283Q8×C61—21no—
284Q8×C61—23no—
285Q8×C61—21no—
286Q8×C61—46no—
287Q8×C61#12714yes—
288D4×C61—23no—
289D4×C61—21no—
290D4×C61—23no—
291D4×C61—21no—
292D4×C61—46no—
293D4×C61—46no—
294D4×C61—46no—
295D4×C61—86no—
296D4×C61#127112yes—
297C2×C4×C61—23no—
298C2×C4×C61—21no—
299C2×C4×C61—46no—
300C2×C4×C61—46no—
301C2×C4×C61—46no—
302C2×C4×C61—46no—
303C2×C4×C61C22×D416yes—
304C2×C4×C61C22×D412yes—
305C2×C4×C61C22×D413yes—
306C2×C4×C61C22×D416yes—
307C2×C4×C61C22×D416yes—
308C2×C4×C61C2511yescharacteristic
309C22⋊D61—46no—
310C22⋊D61—46no—
311C2×Dic61—21no—
312C2×Dic61—23no—
313C2×Dic61—46no—
314D244—23no—
315D244—21no—
316D244—23no—
317D244—21no—
318D244—46no—
319D244—86no—
320C4×D61—46no—
321C4×D61—46no—
322Dic122—23no—
323Dic122—21no—
324Dic122—23no—
325Dic122—21no—
326Dic122—46no—
327#92418C22×D412yes—
328#92418C22×D412yes—
329#92418C22×D416yes—
330#92418C22×D416yes—
331#60649—611nomaximal, Sylow
332C22×C61—26no—
333C22×C61—42no—
334C22×C61—46no—
335C22×C61—41no—
336C22×C61—43no—
337C22×C61—166no—
338C22×C61C2×#12716yes—
339C22×C61C23×D411yescharacteristic
340C2×D61—42no—
341C2×D61—46no—
342C2×D61—41no—
343C2×D61—43no—
344C2×D61—166no—
345C4×C61—26no—
346C4×C61—22no—
347C4×C61—41no—
348C4×C61—43no—
349C4×C61C2×#12716yes—
350C4×C61C23×D411yescharacteristic
351C4×C61C23×D411yescharacteristic
352Dic61—43no—
353Dic61—41no—
354C2×#578—611no—
355C2×#577—611no—
356C2×#577—611no—
357C2×#576—611no—
358#3500—611no—
359#3500D6111yescharacteristic, complemented
360#3156—613no—
361#3155—613no—
362#3154—613no—
363#3154—613no—
364#3153—613no—
365#3153—613no—
366#3147—613no—
367C2×#495—613no—
368C4×#131—611no—
369C2×C61—26no—
370C2×C61—81no—
371C2×C61—83no—
372C2×C61C22×#12711yescharacteristic
373C2×C61#358412yes—
374D61—81no—
375D61—83no—
376C2×2−1+4—611no—
377C2×2−1+4C2×D6111yescharacteristic
378C2×H(5,𝔽2)—611no—
379C2×H(5,𝔽2)C2×D6111yescharacteristic
380#578—1228no—
381#577—1228no—
382#577—1228no—
383#576—1228no—
384C2×#137—613no—
385C2×#137—613no—
386C2×#137—613no—
387C2×#137—613no—
388C2×AGL(1,ℤ/8)—613no—
389C2×AGL(1,ℤ/8)—613no—
390C2×AGL(1,ℤ/8)—613no—
391C2×AGL(1,ℤ/8)—613no—
392C2×#135—613no—
393C2×#135—613no—
394C2×#135—613no—
395C2×#135—613no—
396C22×Q16—613no—
397C22×SD16—613no—
398C22×SD16—613no—
399C22×D8—613no—
400C2×#131—611no—
401C2×#131—611no—
402#548—22no—
403#548—1222no—
404#546—26no—
405#546—1226no—
406#536—613no—
407#536C2×D6113yescomplemented
408#535—613no—
409#535C2×D6113yescomplemented
410#532—613no—
411#532C2×D6113yescomplemented
412C2×#124—613no—
413C2×#124C2×D6113yescomplemented
414C4×#41C2×D6111yescharacteristic
415#497—616no—
416#497—616no—
417#496—616no—
418#496—616no—
419#495—613no—
420#495—616no—
421#495—616no—
422#495—616no—
423#495—611no—
424#495—613no—
425#495—613no—
426#494—613no—
427#493—613no—
428#492—613no—
429#492—613no—
430#405—613no—
431#405—613no—
432C4×M16—613no—
433C2×C4×C8—613no—
434C61#6064911yescharacteristic, complemented, Sylow
4352−1+4—24no—
4362−1+4—24no—
4372−1+4—1224no—
4382−1+4—1224no—
439H(5,𝔽2)—24no—
440H(5,𝔽2)—24no—
441H(5,𝔽2)—1224no—
442H(5,𝔽2)—1224no—
443C2×#41—21no—
444C2×#41—23no—
445C2×#41—613no—
446C2×#41—613no—
447C2×#41—1221no—
448C2×#41—1223no—
449C2×#41C22×D6113yes—
450C2×#41C22×D6113yes—
451C2×#41C22×D6111yescharacteristic
452C22×Q8—21no—
453C22×Q8—613no—
454C22×Q8—1221no—
455C22×Q8C22×D6113yes—
456C22×D4—23no—
457C22×D4—613no—
458C22×D4—1223no—
459C22×D4C22×D6113yes—
460#137—12212no—
461#137—12212no—
462#137—12212no—
463#137—12212no—
464AGL(1,ℤ/8)—12212no—
465AGL(1,ℤ/8)—12212no—
466AGL(1,ℤ/8)—12212no—
467AGL(1,ℤ/8)—12212no—
468#135—12212no—
469#135—12212no—
470#135—12212no—
471#135—12212no—
472C2×Q16—613no—
473C2×Q16—616no—
474C2×Q16—611no—
475C2×Q16—613no—
476C2×Q16—613no—
477C2×Q16—12212no—
478C2×SD16—613no—
479C2×SD16—616no—
480C2×SD16—611no—
481C2×SD16—613no—
482C2×SD16—613no—
483C2×SD16—613no—
484C2×SD16—616no—
485C2×SD16—611no—
486C2×SD16—613no—
487C2×SD16—613no—
488C2×SD16—12212no—
489C2×SD16—12212no—
490C2×D8—613no—
491C2×D8—616no—
492C2×D8—611no—
493C2×D8—613no—
494C2×D8—613no—
495C2×D8—12212no—
496#131—618no—
497#131—618no—
498C2×M16—613no—
499C2×M16—613no—
500C22×C8—613no—
501C22×C8—613no—
502C4⋊Q8—613no—
503C4⋊Q8C22×D6113yes—
504#127—613no—
505#127C22×D6113yes—
506#124—26no—
507#124—613no—
508#124—616no—
509#124—611no—
510#124—1226no—
511#124C22×D6113yes—
512#124C22×D6116yes—
513#124C22×D6111yescharacteristic
514#123—26no—
515#123—1226no—
516C22⋊Q8—26no—
517C22⋊Q8—1226no—
518#121—26no—
519#121—26no—
520#121—1226no—
521#121—1226no—
522#120—26no—
523#120—1226no—
524C4×Q8C22⋊D6112yes—
525C4×D4—26no—
526C4×D4—1226no—
527C4×D4C22⋊D6116yes—
528#117C22×D6113yes—
529C2×C22⋊C4—26no—
530C2×C22⋊C4—1226no—
531C2×C42C22×D6113yes—
532#97—616no—
533C4×C8—611no—
534C4×C8—613no—
535C4×C8—613no—
536C4×C8—613no—
537C24—23no—
538C24—1223no—
539#41—26no—
540#41—26no—
541#41—26no—
542#41—26no—
543#41—44no—
544#41—412no—
545#41—1226no—
546#41—1226no—
547#41—1226no—
548#41—1226no—
549#41—2444no—
550#41—24412no—
551#41D4×D6114yes—
552#41D4×D6114yes—
553C2×Q8—23no—
554C2×Q8—26no—
555C2×Q8—26no—
556C2×Q8—44no—
557C2×Q8—613no—
558C2×Q8—611no—
559C2×Q8—1223no—
560C2×Q8—1226no—
561C2×Q8—1226no—
562C2×Q8—2444no—
563C2×Q8C2×C22⋊D6111yescharacteristic
564C2×Q8C23×D6113yes—
565C2×Q8C23×D6111yescharacteristic
566C2×D4—23no—
567C2×D4—23no—
568C2×D4—26no—
569C2×D4—26no—
570C2×D4—23no—
571C2×D4—26no—
572C2×D4—412no—
573C2×D4—613no—
574C2×D4—611no—
575C2×D4—1223no—
576C2×D4—1223no—
577C2×D4—1226no—
578C2×D4—1226no—
579C2×D4—1226no—
580C2×D4—1223no—
581C2×D4—24412no—
582C2×D4C2×C22⋊D6113yes—
583C2×D4C23×D6113yes—
584C2×D4C23×D6111yescharacteristic
585C22×C4—23no—
586C22×C4—23no—
587C22×C4—23no—
588C22×C4—1223no—
589C22×C4—1223no—
590C22×C4—1223no—
591C22×C4C2×C22⋊D6116yes—
592C22×C4C23×D6113yes—
593Q16—1226no—
594Q16—12212no—
595Q16—1222no—
596Q16—1226no—
597Q16—1226no—
598SD16—1226no—
599SD16—12212no—
600SD16—1222no—
601SD16—1226no—
602SD16—1226no—
603SD16—1226no—
604SD16—12212no—
605SD16—1222no—
606SD16—1226no—
607SD16—1226no—
608D8—1226no—
609D8—12212no—
610D8—1222no—
611D8—1226no—
612D8—1226no—
613M16—6112no—
614M16—6112no—
615C2×C8—6112no—
616C2×C8—6112no—
617C2×C8—611no—
618C2×C8—611no—
619C2×C8—613no—
620C2×C8—613no—
621C4⋊C4—26no—
622C4⋊C4—1226no—
623C4⋊C4C2×C22⋊D6116yes—
624C22⋊C4—26no—
625C22⋊C4—212no—
626C22⋊C4—22no—
627C22⋊C4—1226no—
628C22⋊C4—12212no—
629C22⋊C4—1222no—
630C22⋊C4C2×C22⋊D6116yes—
631C42C2×C22⋊D6116yes—
632C42C23×D6111yescharacteristic
633C42C23×D6113yes—
634C23—23no—
635C23—21no—
636C23—46no—
637C23—86no—
638C23—1223no—
639C23—1221no—
640C23—4886no—
641C23—2446no—
642C23C22×C22⋊D6113yes—
643Q8—23no—
644Q8—21no—
645Q8—23no—
646Q8—21no—
647Q8—46no—
648Q8—1223no—
649Q8—1221no—
650Q8—1223no—
651Q8—1221no—
652Q8—2446no—
653Q8#1451977314yes—
654D4—23no—
655D4—21no—
656D4—23no—
657D4—21no—
658D4—46no—
659D4—46no—
660D4—46no—
661D4—86no—
662D4—1223no—
663D4—1221no—
664D4—1223no—
665D4—1221no—
666D4—4886no—
667D4—2446no—
668D4—2446no—
669D4—2446no—
670D4#14519773112yes—
671C2×C4—23no—
672C2×C4—21no—
673C2×C4—46no—
674C2×C4—46no—
675C2×C4—46no—
676C2×C4—46no—
677C2×C4—1223no—
678C2×C4—1221no—
679C2×C4—2446no—
680C2×C4—2446no—
681C2×C4—2446no—
682C2×C4C2×D4×D6116yes—
683C2×C4C2×D4×D6116yes—
684C2×C4C22×C22⋊D6112yes—
685C2×C4C22×C22⋊D6116yes—
686C2×C4C22×C22⋊D6113yes—
687C2×C4C24×D6111yescharacteristic
688C8—612no—
689C8—612no—
690C8—616no—
691C8—616no—
692C22—26no—
693C22—42no—
694C22—46no—
695C22—41no—
696C22—43no—
697C22—166no—
698C22—9766no—
699C22—2442no—
700C22—2446no—
701C22—2441no—
702C22—2443no—
703C22C2×#1451977316yes—
704C22C23×C22⋊D6111yescharacteristic
705C4—22no—
706C4—26no—
707C4—41no—
708C4—43no—
709C4—2441no—
710C4—2443no—
711C4C2×#1451977316yes—
712C4C22×D4×D6111yescharacteristic
713C4C22×D4×D6111yescharacteristic
714C2—26no—
715C2—83no—
716C2—81no—
717C2—4883no—
718C2—4881no—
719C2C22×#1451977311yescharacteristic
720C2#2146059012yes—
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3500C2
socleC22×C61C23×D4
hypercenter#3500D61
hypocenterC61#60649
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. C2×#16840577C2semidirect
2. C2×#16840573C2semidirect
3. C2×#16840570C2semidirect
4. C2×#16840565C2semidirect
5. #21459612C2semidirect
6. #21456310C2semidirect
7. #21456302C2semidirect
8. #21456297C2semidirect
9. #21456291C2semidirect
10. #21456287C2semidirect
11. #21456283C2semidirect
12. #21456245C2semidirect
13. C2×#16840144C2semidirect
14. C4×#14519784C2semidirect
15. C61×#3500C2semidirect
22. C2×#14519808C22semidirect
23. C2×#14519808C22semidirect
24. C2×#14519807C22semidirect
25. C2×#14519807C22semidirect
27. C2×#14519803C22semidirect
29. C2×#14519802C22semidirect
31. C2×#14519797C22semidirect
32. C2×#14519797C22semidirect
33. C2×#14519797C22semidirect
34. C22×#11758202C22semidirect
35. C22×#11758200C22semidirect
36. C22×#11758201C22semidirect
42. #16840338C22semidirect
43. #16840331C22semidirect
44. #16840312C22semidirect
45. C2×#14519765C22semidirect
46. #16840157C22semidirect
47. #16840154C22semidirect
48. #16840152C22semidirect
49. #16840149C22semidirect
50. #16840144C22semidirect
51. #16840144C22semidirect
52. #16840144C22semidirect
53. #16840144C22semidirect
54. #16840144C22semidirect
55. #16840144C22semidirect
56. #16840144C22semidirect
57. #16840141C22semidirect
58. #16840138C22semidirect
59. #16840136C22semidirect
60. #16840134C22semidirect
61. #16839718C22semidirect
62. #16839718C22semidirect
63. C4×#11758194C22semidirect
64. C2×C4×#92418C22semidirect
69. C61×#536C22semidirect
70. C61×#535C22semidirect
71. C61×#532C22semidirect
72. C2×#124×C61C22semidirect
122. #14519784D4semidirect
123. #14519784D4semidirect
359. #3500D61semidirect
407. #536C2×D61semidirect
409. #535C2×D61semidirect
411. #532C2×D61semidirect
413. C2×#124C2×D61semidirect
434. C61#60649semidirect

Maximal subgroups

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

subgroupindex
C2×#168405772
C2×#168405732
C2×#168405702
C2×#168405652
#214596122
#214563102
#214563022
#214562972
#214562912
#214562872
#214562832
#214562452
C2×#168401442
C4×#145197842
C61×#35002
#6064961