Finite Group Databasebeta

← #29702533

Subgroups — #29702533

Order 15616.

880 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21455272C211yesmaximal, characteristic
2C2×#16839883C211yesmaximal, characteristic, complemented
3C2×#16839882C211yesmaximal, characteristic, complemented
4#21454561C211yesmaximal, characteristic, complemented
5#21454386C211yesmaximal, characteristic, complemented
6#21446645C211yesmaximal, characteristic, complemented
7#21446591C211yesmaximal, characteristic, complemented
8#21446532C211yesmaximal, characteristic, complemented
9#21446529C211yesmaximal, characteristic, complemented
10#21446145C211yesmaximal, characteristic, complemented
11#21446143C211yesmaximal, characteristic, complemented
12#21446095C211yesmaximal, characteristic, complemented
13#21445671C211yesmaximal, characteristic, complemented
14#21445623C211yesmaximal, characteristic, complemented
15C61×#1866C211yesmaximal, characteristic, complemented
16C2×#14519799C2211yescharacteristic
17C2×#14519797C2211yescharacteristic
18C2×#14519785C2211yescharacteristic
19C2×#14519785C2211yescharacteristic
20C2×#14519783C2211yescharacteristic
21#16840308C2211yescharacteristic
22#16840230C2211yescharacteristic
23#16839987C411yescharacteristic, complemented
24#16839983C411yescharacteristic, complemented
25#16839980C411yescharacteristic, complemented
26#16839976C411yescharacteristic, complemented
27#16839971C411yescharacteristic, complemented
28#16839966C411yescharacteristic, complemented
29#16839961C411yescharacteristic, complemented
30#16839956C411yescharacteristic, complemented
31#16839883—24no—
32#16839882—24no—
33#16839838—21no—
34#16839833—21no—
35#16839831—21no—
36C8×C22⋊D61—21no—
37C2×#14519712C2211yescharacteristic
38#16839789C2211yescharacteristic
39#16839787—21no—
40#16839787—21no—
41#16839785C2211yescharacteristic
42#16839784—21no—
43C2×#14519706C2211yescharacteristic
44C2×#14519706C2211yescharacteristic
45C4⋊C8×D61—21no—
46C2×#14519705C2211yescharacteristic
47C2×#14519705C2211yescharacteristic
48C2×#14519704C2211yescharacteristic
49C2×#14519703C2211yescharacteristic
50C2×#14519703C2211yescharacteristic
51#16839756C2211yescharacteristic
52#16839729C2211yescharacteristic
53#16839728C2211yescharacteristic
54M16×Dic61C2211yescharacteristic
55C2×#14519687C2211yescharacteristic
56C2×#14519687C2211yescharacteristic
57C42×Dic61C2211yescharacteristic
58#16839527C2211yescharacteristic
59#16839526C2211yescharacteristic
60#16839521C2211yescharacteristic
61#16839517C2211yescharacteristic
62C2×#131×C61C2211yescharacteristic
63C2×#108×C61C2211yescharacteristic
64C61×#424C2211yescharacteristic
65C2×#104×C61C2211yescharacteristic
66C61×#416C2211yescharacteristic
67C61×#339C2211yescharacteristic
68C61×#336C2211yescharacteristic
69C2×#11758222C2311yescharacteristic
70C2×#11758222C2311yescharacteristic
71#14519799—22no—
72#14519799—22no—
73#14519797—22no—
74#14519797—22no—
75C2×Dic244C2×C411yescharacteristic
76C2×#11758202C2×C411yescharacteristic
77C2×#11758190C2×C411yescharacteristic
78C2×#11758190C2×C411yescharacteristic
79C2×#11758200C2×C411yescharacteristic
80C2×#11758201C2×C411yescharacteristic
81C2×D488C2×C411yescharacteristic
82C2×#11758199C2×C411yescharacteristic
83#14519785—22no—
84#14519785—22no—
85#14519785—41no—
86#14519785—41no—
87#14519783—22no—
88#14519783—41no—
89C2×#11758194C2311yescharacteristic
90C2×#11758194C2311yescharacteristic
91C2×#11758189—21no—
92C2×#11758189—21no—
93C2×#11758189—21no—
94C22×#92418C2311yescharacteristic
95C22×#92418C2311yescharacteristic
96C2×C8×D61—21no—
97C2×C8×D61—21no—
98C2×C8×D61—21no—
99#14519775C2×C411yescharacteristic
100#14519773C2×C411yescharacteristic
101#14519766C2×C411yescharacteristic
102#14519764C2×C411yescharacteristic
103#14519749—21no—
104#14519749—21no—
105#14519742C2×C411yescharacteristic
106#14519742C2×C411yescharacteristic
107#14519739C2×C411yescharacteristic
108#14519739C2×C411yescharacteristic
109C4×C22⋊D61—21no—
110C4×C22⋊D61—21no—
111#14519737—21no—
112#14519737—21no—
113#14519734—21no—
114C2×C4×Dic61—21no—
115C2×C4×Dic61—21no—
116C2×C4×Dic61C2311yescharacteristic
117C2×C4×Dic61C2311yescharacteristic
118C42×D61—21no—
119#14519712—22no—
120C4⋊#92418—21no—
121C4⋊#92418—21no—
122#14519706—21no—
123#14519706—21no—
124#14519706C2×C411yescharacteristic
125#14519706C2×C411yescharacteristic
126#14519706C2×C411yescharacteristic
127#14519706C2×C411yescharacteristic
128#14519706D411yescharacteristic
129#14519706D411yescharacteristic
130#14519706D411yescharacteristic
131#14519706D411yescharacteristic
132#14519705—22no—
133#14519705—41no—
134#14519704—22no—
135#14519703—22no—
136#14519703D414yescomplemented
137#14519700C2×C411yescharacteristic
138#14519700C2×C411yescharacteristic
139#14519697C2×C411yescharacteristic
140#14519697C2×C411yescharacteristic
141C22⋊#92418—21no—
142C22⋊#92418—21no—
143#14519689—21no—
144#14519689—21no—
145#14519687—22no—
146#14519687—22no—
147#14519687—21no—
148C8×Dic61—21no—
149C2×#41×C61C2311yescharacteristic
150#131×C61—22no—
151#131×C61—41no—
152C2×M16×C61—21no—
153C2×M16×C61C2311yescharacteristic
154C2×M16×C61C2311yescharacteristic
155C22×C8×C61—21no—
156C22×C8×C61C2311yescharacteristic
157C22×C8×C61C2311yescharacteristic
158#117×C61C2311yescharacteristic
159C2×C42×C61C2311yescharacteristic
160#108×C61—22no—
161C4⋊C8×C61—21no—
162C4⋊C8×C61—21no—
163#104×C61—41no—
164#103×C61C2×C411yescharacteristic
165#103×C61C2×C411yescharacteristic
166#102×C61C2×C411yescharacteristic
167#102×C61C2×C411yescharacteristic
168#41×C61—21no—
169#41×C61—21no—
170#41×C61—21no—
171#41×C61—21no—
172C2×Q8×C61C22×C411yescharacteristic
173C2×D4×C61—21no—
174C2×D4×C61C22×C411yescharacteristic
175C22×C4×C61—21no—
176C22×C4×C61—21no—
177C22×C4×C61C2411yescharacteristic
178C2×C22⋊D61—21no—
179C2×C22⋊D61—21no—
180C2×C22⋊D61—21no—
181C2×C22⋊D61—21no—
182C22×Dic61—21no—
183C22×Dic61#4111yescharacteristic
184C22×Dic61#4111yescharacteristic
185#11758222—21no—
186#11758222—21no—
187#11758222—21no—
188#11758222—21no—
189#11758222—21no—
190#11758222—21no—
191#11758222C2×D412yes—
192#11758222#4112yes—
193C2×D244C22×C411yescharacteristic
194C2×D244C22×C411yescharacteristic
195C2×C4×D61—21no—
196C2×C4×D61—21no—
197C2×C4×D61—21no—
198C2×C4×D61—21no—
199C2×Dic122C22×C411yescharacteristic
200C2×Dic122C22×C411yescharacteristic
201M16×C61—21no—
202M16×C61—21no—
203M16×C61—21no—
204M16×C61—42no—
205M16×C61C2×D412yes—
206C2×C8×C61—21no—
207C2×C8×C61—21no—
208C2×C8×C61—21no—
209C2×C8×C61—21no—
210C2×C8×C61—21no—
211C2×C8×C61—21no—
212C2×C8×C61—42no—
213C2×C8×C61C22×C411yescharacteristic
214C2×C8×C61C22×C411yescharacteristic
215C2×C8×C61C2×D411yescharacteristic
216C2×C8×C61C2×D411yescharacteristic
217C4⋊C4×C61C22×C411yescharacteristic
218C4⋊C4×C61C22×C411yescharacteristic
219C22⋊C4×C61—21no—
220C42×C61—21no—
221C42×C61—21no—
222C42×C61—21no—
223C22⋊Dic61—21no—
224C22⋊Dic61—21no—
225#11758202—22no—
226#11758201—22no—
227#11758200—22no—
228#11758199—22no—
229#11758198—21no—
230#11758198—21no—
231#11758198—21no—
232#11758198—21no—
233#11758196—21no—
234#11758196—21no—
235#11758196—21no—
236#11758196—21no—
237C4×Dic61—21no—
238C4×Dic61—21no—
239C4×Dic61—21no—
240C4×Dic61—42no—
241C4×Dic61—42no—
242C4×Dic61C22×C411yescharacteristic
243C4×Dic61C22×C411yescharacteristic
244C4×Dic61C2×D412yes—
245C4×Dic61C2×D411yescharacteristic
246C4×Dic61C2×D411yescharacteristic
247#11758194—21no—
248#11758194—21no—
249#11758194—21no—
250#11758194—21no—
251C2×#92418—21no—
252C2×#92418—21no—
253C2×#92418—21no—
254C2×#92418—21no—
255C2×#92418—21no—
256C2×#92418—21no—
257C2×#92418C22×C411yescharacteristic
258C2×#92418C22×C411yescharacteristic
259C2×#92418C2×D411yescharacteristic
260C2×#92418C2×D411yescharacteristic
261Dic244—22no—
262D488—22no—
263#11758190—22no—
264#11758190—22no—
265#11758189—42no—
266#11758189—42no—
267#11758189—42no—
268C8×D61—42no—
269C8×D61—42no—
270C8×D61—42no—
271C23×C61—21no—
272C23×C61C2×#4111yescharacteristic
273C22×D61—21no—
274C22×D61—21no—
275Q8×C61—21no—
276Q8×C61—21no—
277D4×C61—21no—
278D4×C61—21no—
279D4×C61—41no—
280D4×C61—41no—
281C2×C4×C61—22no—
282C2×C4×C61—21no—
283C2×C4×C61—21no—
284C2×C4×C61—21no—
285C2×C4×C61—41no—
286C2×C4×C61—41no—
287C2×C4×C61—41no—
288C2×C4×C61—41no—
289C2×C4×C61C23×C411yescharacteristic
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61C2×#4111yescharacteristic
293C2×C4×C61H(5,𝔽2)11yescharacteristic
294C2×C4×C612−1+411yescharacteristic
295C22⋊D61—22no—
296C22⋊D61—22no—
297C22⋊D61—41no—
298C22⋊D61—41no—
299C22⋊D61—42no—
300C22⋊D61—81no—
301C2×Dic61—21no—
302C2×Dic61—22no—
303C2×Dic61—21no—
304C2×Dic61—22no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307C2×Dic61—41no—
308C2×Dic61C4×D411yescharacteristic
309C2×Dic61C4×D411yescharacteristic
310C2×Dic61C4×D411yescharacteristic
311C2×Dic61C4×D411yescharacteristic
312D244—21no—
313D244—21no—
314D244—21no—
315D244C4×D412yes—
316C4×D61—22no—
317C4×D61—22no—
318C4×D61—41no—
319C4×D61—41no—
320C4×D61—42no—
321C4×D61—81no—
322Dic122—21no—
323Dic122—21no—
324Dic122—21no—
325Dic122C4×D412yes—
326C8×C61—21no—
327C8×C61—21no—
328C8×C61—21no—
329C8×C61—22no—
330C8×C61—21no—
331C8×C61—41no—
332#92418—21no—
333#92418—21no—
334#92418—21no—
335#92418—21no—
336#92418—41no—
337#92418—41no—
338#23016—611nomaximal, Sylow
339C22×C61—21no—
340C22×C61—21no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61—41no—
344C22×C61C2×C4×D411yescharacteristic
345C22×C61#54711yescharacteristic
346C22×C61#55311yescharacteristic
347C2×D61—22no—
348C2×D61—41no—
349C2×D61—41no—
350C2×D61—41no—
351C2×D61—41no—
352C2×D61—41no—
353C4×C61—42no—
354C4×C61—41no—
355C4×C61—41no—
356C4×C61—41no—
357C4×C61C2×C4×D411yescharacteristic
358C4×C61#52011yescharacteristic
359C4×C61D4211yescharacteristic
360C4×C61#54811yescharacteristic
361Dic61—22no—
362Dic61—21no—
363Dic61—21no—
364Dic61—21no—
365Dic61—42no—
366Dic61—41no—
367Dic61#44412yescomplemented
368#3035—611no—
369C2×#444—611no—
370C2×#444—611no—
371#2935—611no—
372#2906—611no—
373#1962—611no—
374#1950—611no—
375#1938—611no—
376#1938—611no—
377#1876—611no—
378#1876—611no—
379#1866—611no—
380#1866D6111yescharacteristic, complemented
381#1767—611no—
382C4×#104—611no—
383C2×C61—21no—
384C2×C61—21no—
385C2×C61—81no—
386C2×C61#236111yescharacteristic
387C2×C61C2×#44411yescharacteristic
388C2×C61#295611yescharacteristic
389D61—42no—
390D61—81no—
391C2×#135—611no—
392C2×#135—611no—
393C2×#131—611no—
394C2×#131—611no—
395C2×#131—611no—
396C2×#131C2×D6111yescharacteristic
397#532—611no—
398C4×#41—611no—
399#464—611no—
400#464—611no—
401#463—611no—
402#463—611no—
403#462—611no—
404#461—611no—
405#460—611no—
406#459—611no—
407#444—1224no—
408#444—1224no—
409#436—1221no—
410#435—1221no—
411#435—1221no—
412C8×D4—1221no—
413C2×#108—611no—
414C2×#108C2×D6111yescharacteristic
415#424—611no—
416#424—1221no—
417#424—1221no—
418#424C2×D6111yescharacteristic
419#423—611no—
420#423—1221no—
421C2×C4⋊C8—611no—
422C2×C4⋊C8—611no—
423C2×C4⋊C8—1221no—
424C2×#104—611no—
425C2×#104—611no—
426C2×#104—611no—
427C2×#104—611no—
428C2×#104—611no—
429C2×#104C2×D6111yescharacteristic
430#416—611no—
431#416C2×D6111yescharacteristic
432#408—611no—
433#408—611no—
434C4×M16—611no—
435C2×#97—611no—
436C2×#97—611no—
437C43—611no—
438#341—611no—
439#341—611no—
440#339—611no—
441#339C2×D6111yescharacteristic
442#336—611no—
443#336C2×D6111yescharacteristic
444C61#2301611yescharacteristic, complemented, Sylow
445C2×#41—611no—
446C2×#41—611no—
447C2×#41C22×D6111yescharacteristic
448#135—1222no—
449#135—1222no—
450#135—1222no—
451#135—1222no—
452C2×Q16—611no—
453C2×Q16—611no—
454C2×SD16—611no—
455C2×SD16—611no—
456C2×SD16—611no—
457C2×SD16—611no—
458C2×D8—611no—
459C2×D8—611no—
460#131—22no—
461#131—41no—
462#131—1222no—
463#131—1222no—
464#131—1222no—
465#131—2441no—
466#131—2441no—
467#131—2441no—
468C2×M16—21no—
469C2×M16—611no—
470C2×M16—611no—
471C2×M16—1221no—
472C2×M16—1221no—
473C2×M16—1221no—
474C2×M16C22×D6111yescharacteristic
475C2×M16C22×D6111yescharacteristic
476C22×C8—21no—
477C22×C8—611no—
478C22×C8—611no—
479C22×C8—1221no—
480C22×C8—1221no—
481C22×C8—1221no—
482C22×C8C22×D6111yescharacteristic
483C22×C8C22×D6111yescharacteristic
484C4⋊Q8—611no—
485#127—611no—
486#124—611no—
487#124—611no—
488#121—1221no—
489#121—1221no—
490C4×Q8—611no—
491C4×Q8—611no—
492C4×D4—611no—
493C4×D4—611no—
494C4×D4—1221no—
495C4×D4—1221no—
496C4×D4—1221no—
497C4×D4—1221no—
498#117—1221no—
499#117C22×D6111yescharacteristic
500C2×C42—611no—
501C2×C42—611no—
502C2×C42—1221no—
503C2×C42—1221no—
504C2×C42—1221no—
505C2×C42C22×D6111yescharacteristic
506#108—22no—
507#108—1222no—
508C4⋊C8—21no—
509C4⋊C8—21no—
510C4⋊C8—611no—
511C4⋊C8—611no—
512C4⋊C8—611no—
513C4⋊C8—611no—
514C4⋊C8—611no—
515C4⋊C8—611no—
516C4⋊C8—611no—
517C4⋊C8—611no—
518C4⋊C8—1221no—
519C4⋊C8—1221no—
520C4⋊C8—1221no—
521C4⋊C8—1221no—
522#104—41no—
523#104—614no—
524#104—1222no—
525#104—1222no—
526#104—1222no—
527#104—2441no—
528#103—611no—
529#103—611no—
530#103C4×D6111yescharacteristic
531#103C4×D6111yescharacteristic
532#102—611no—
533#102—611no—
534#102C4×D6111yescharacteristic
535#102C4×D6111yescharacteristic
536C22⋊C8—1221no—
537C22⋊C8—1221no—
538C22⋊C8—1221no—
539C22⋊C8—1221no—
540#97—1222no—
541#97—1222no—
542#97—1221no—
543C4×C8—1221no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—612no—
549#41—612no—
550#41—1221no—
551#41—1221no—
552#41—1221no—
553#41—1221no—
554#41—1221no—
555#41—1221no—
556C2×Q8—611no—
557C2×Q8—611no—
558C2×Q8C2×C4×D6111yescharacteristic
559C2×D4—21no—
560C2×D4—611no—
561C2×D4—611no—
562C2×D4—1221no—
563C2×D4—1221no—
564C2×D4—1221no—
565C2×D4—1221no—
566C2×D4C2×C4×D6111yescharacteristic
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—611no—
570C22×C4—611no—
571C22×C4—1221no—
572C22×C4—1221no—
573C22×C4—1221no—
574C22×C4—1221no—
575C22×C4—1221no—
576C22×C4C23×D6111yescharacteristic
577Q16—1222no—
578Q16—1222no—
579SD16—1222no—
580SD16—1222no—
581SD16—1222no—
582SD16—1222no—
583D8—1222no—
584D8—1222no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—42no—
589M16—1221no—
590M16—1221no—
591M16—1221no—
592M16—1221no—
593M16—2442no—
594M16—2442no—
595M16—2442no—
596M16D4×D6112yes—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—42no—
604C2×C8—611no—
605C2×C8—611no—
606C2×C8—611no—
607C2×C8—611no—
608C2×C8—1221no—
609C2×C8—1221no—
610C2×C8—1221no—
611C2×C8—1221no—
612C2×C8—1221no—
613C2×C8—1221no—
614C2×C8—2442no—
615C2×C8—2442no—
616C2×C8—2442no—
617C2×C8C2×C4×D6111yescharacteristic
618C2×C8C2×C4×D6111yescharacteristic
619C2×C8D4×D6111yescharacteristic
620C2×C8D4×D6111yescharacteristic
621C4⋊C4—1221no—
622C4⋊C4—1221no—
623C4⋊C4—1221no—
624C4⋊C4—1221no—
625C4⋊C4C2×C4×D6111yescharacteristic
626C4⋊C4C2×C4×D6111yescharacteristic
627C22⋊C4—21no—
628C22⋊C4—1221no—
629C22⋊C4—1221no—
630C22⋊C4—1221no—
631C22⋊C4—1221no—
632C22⋊C4—1221no—
633C22⋊C4—1221no—
634C42—21no—
635C42—21no—
636C42—21no—
637C42—611no—
638C42—611no—
639C42—611no—
640C42—611no—
641C42—612no—
642C42—1221no—
643C42—1221no—
644C42—1221no—
645C42—2442no—
646C42—2442no—
647C23—21no—
648C23—1221no—
649C23—1221no—
650C23#41×D6111yescharacteristic
651Q8—21no—
652Q8—21no—
653Q8—612no—
654Q8—1221no—
655Q8—1221no—
656Q8—1221no—
657D4—21no—
658D4—21no—
659D4—41no—
660D4—41no—
661D4—612no—
662D4—1222no—
663D4—1222no—
664D4—1221no—
665D4—1221no—
666D4—1221no—
667D4—4881no—
668D4—2442no—
669D4—2441no—
670D4—2441no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—611no—
680C2×C4—611no—
681C2×C4—611no—
682C2×C4—611no—
683C2×C4—1222no—
684C2×C4—1221no—
685C2×C4—1222no—
686C2×C4—1222no—
687C2×C4—1221no—
688C2×C4—1222no—
689C2×C4—4881no—
690C2×C4—2442no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4—2441no—
694C2×C4—2441no—
695C2×C4—2441no—
696C2×C4C22×C4×D6111yescharacteristic
697C2×C4C2×D4×D6111yescharacteristic
698C2×C4C2×D4×D6111yescharacteristic
699C2×C4#41×D6111yescharacteristic
700C2×C4#1451982211yescharacteristic
701C2×C4#1451982511yescharacteristic
702C8—21no—
703C8—21no—
704C8—21no—
705C8—21no—
706C8—22no—
707C8—41no—
708C8—1221no—
709C8—1221no—
710C8—1221no—
711C8—1221no—
712C8—2441no—
713C8—2441no—
714C22—21no—
715C22—21no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—1222no—
720C22—2441no—
721C22—2441no—
722C22—2441no—
723C22—2441no—
724C22—2441no—
725C22C4×D4×D6111yescharacteristic
726C22#1684041411yescharacteristic
727C22#1684045711yescharacteristic
728C4—42no—
729C4—41no—
730C4—41no—
731C4—41no—
732C4—612no—
733C4—1221no—
734C4—1221no—
735C4—1221no—
736C4—1222no—
737C4—2442no—
738C4—2441no—
739C4C4×D4×D6111yescharacteristic
740C4#1684024311yescharacteristic
741C4#1684039411yescharacteristic
742C4#1684042211yescharacteristic
743C2—21no—
744C2—21no—
745C2—81no—
746C2—4881no—
747C2—2442no—
748C2#2144883811yescharacteristic
749C2#444×D6111yescharacteristic
750C2#2145472411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1866C2
socleC22×C61C2×C4×D4
prime radical#21455272C2
cosocleC22×C4×C61C24
hypercenter#1866D61
hypocenterC61#23016
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1866

Complements

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

NH ≅ G/Ntype
2. C2×#16839883C2semidirect
3. C2×#16839882C2semidirect
4. #21454561C2semidirect
5. #21454386C2semidirect
6. #21446645C2semidirect
7. #21446591C2semidirect
8. #21446532C2semidirect
9. #21446529C2semidirect
10. #21446145C2semidirect
11. #21446143C2semidirect
12. #21446095C2semidirect
13. #21445671C2semidirect
14. #21445623C2semidirect
15. C61×#1866C2semidirect
23. #16839987C4semidirect
24. #16839983C4semidirect
25. #16839980C4semidirect
26. #16839976C4semidirect
27. #16839971C4semidirect
28. #16839966C4semidirect
29. #16839961C4semidirect
30. #16839956C4semidirect
136. #14519703D4semidirect
367. Dic61#444semidirect
380. #1866D61semidirect
444. C61#23016semidirect

Maximal subgroups

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

subgroupindex
#214552722
C2×#168398832
C2×#168398822
#214545612
#214543862
#214466452
#214465912
#214465322
#214465292
#214461452
#214461432
#214460952
#214456712
#214456232
C61×#18662
#2301661