Finite Group Databasebeta

← #29689408

Subgroups — #29689408

Order 15616.

1352 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#532×D61C211yesmaximal, characteristic
2#21454451C211yesmaximal, characteristic, complemented
3#21448211C211yesmaximal, characteristic, complemented
4#21446736C214yesmaximal, complemented
5#21446652C211yesmaximal, characteristic, complemented
6#21446651C211yesmaximal, characteristic, complemented
7#21446650C211yesmaximal, characteristic, complemented
8#21445761C214yesmaximal, complemented
9C61×#1963C211yesmaximal, characteristic, complemented
10C2×#41×D61C2212yes—
11#16840313C411yescharacteristic, complemented
12#16840312C2211yescharacteristic
13#16840311C412yescomplemented
14#16840310C411yescharacteristic, complemented
15#16840309—21no—
16#16840309—21no—
17#16840308C2212yes—
18#16840307—21no—
19#16840307—21no—
20C4⋊Q8×D61C411yescharacteristic, complemented
21#127×D61C411yescharacteristic, complemented
22#124×D61C412yescomplemented
23#121×D61—21no—
24#121×D61—21no—
25C4×D4×D61—21no—
26C4×D4×D61—21no—
27C2×C42×D61C2211yescharacteristic
28#16839818—21no—
29#16839818—21no—
30#16839814—21no—
31#16839814—21no—
32#16839786C2211yescharacteristic, complemented
33C2×#14519705C2214yescomplemented
34C2×#14519704C2214yescomplemented
35C2×#14519703C2214yescomplemented
36#16839725C2212yes—
37M16×Dic61C2212yescomplemented
38#16839629—21no—
39#16839626—21no—
40#16839624—21no—
41#16839621—21no—
42C4×#11758196C2212yescomplemented
43C4×#11758198C2212yes—
44#16839608C2211yescharacteristic, complemented
45C61×#532C2211yescharacteristic
46C61×#423C2211yescharacteristic, complemented
47C2×#104×C61C2214yescomplemented
48C61×#376C2211yescharacteristic, complemented
49C2×#11758226C2×C412yes—
50C2×#11758222—22no—
51C2×#11758222C2312yes—
52C2×#11758224—22no—
53C2×#11758224C2×C412yes—
54#41×D61—44no—
55#41×D61—44no—
56C2×Q8×D61C2×C412yes—
57C2×D4×D61—22no—
58C2×D4×D61—21no—
59C2×D4×D61—21no—
60C2×D4×D61C2×C412yes—
61C22×C4×D61—22no—
62C22×C4×D61D411yescharacteristic
63C22×C4×D61D411yescharacteristic
64C22×C4×D61C2311yescharacteristic
65C2×#11758194C2312yes—
66#14519777C2×C411yescharacteristic
67#14519776—21no—
68#14519776—21no—
69#14519775C2×C412yes—
70#14519774C2×C411yescharacteristic
71#14519773—21no—
72#14519773—21no—
73#14519773C2×C412yes—
74#14519766C2×C412yes—
75#14519765C2×C412yes—
76#14519764C2×C412yes—
77#14519763—22no—
78#14519763—22no—
79#14519752—21no—
80#14519752—21no—
81#14519751—21no—
82#14519751—21no—
83#14519750—22no—
84#14519750—22no—
85#14519749—22no—
86#14519749—22no—
87#14519748—21no—
88#14519748—21no—
89C4×D244—21no—
90C4×D244—21no—
91D4×Dic61—21no—
92D4×Dic61—21no—
93#14519739—21no—
94#14519739—21no—
95C4×C22⋊D61—22no—
96C4×C22⋊D61—22no—
97#14519737—22no—
98#14519737—22no—
99C2×#11758196—22no—
100C4⋊C4×D61—21no—
101C4⋊C4×D61—21no—
102C2×#11758198—22no—
103C22⋊C4×D61—22no—
104C22⋊C4×D61—22no—
105C2×C4×Dic61D411yescharacteristic
106C2×C4×Dic61D411yescharacteristic
107C2×C4×Dic61C2312yes—
108C2×C4×Dic61C2311yescharacteristic
109C42×D61C2×C411yescharacteristic
110C42×D61C2×C411yescharacteristic
111C42×D61C2×C411yescharacteristic
112C42×D61C2×C411yescharacteristic
113C42×D61D411yescharacteristic
114C42×D61D411yescharacteristic
115C42×D61D411yescharacteristic
116C42×D61D411yescharacteristic
117C4⋊#92418—21no—
118C4⋊#92418—21no—
119#14519705—44no—
120#14519704—44no—
121#14519703—44no—
122#14519689—22no—
123#14519689—22no—
124#14519687—22no—
125C8×Dic61—22no—
126#14519684—21no—
127#14519684—21no—
128#14519684—22no—
129#14519684—22no—
130C2×#41×C61C2312yes—
131C2×M16×C61C2312yes—
132C4⋊Q8×C61C2×C411yescharacteristic
133#127×C61C2×C411yescharacteristic
134#124×C61C2×C412yes—
135#121×C61—21no—
136#121×C61—21no—
137C4×D4×C61—21no—
138C4×D4×C61—21no—
139C2×C42×C61C2312yes—
140C2×C42×C61C2311yescharacteristic
141C4⋊C8×C61—21no—
142C4⋊C8×C61—21no—
143#104×C61—44no—
144#95×C61—21no—
145#95×C61—21no—
146C23×D61—22no—
147C23×D61C2×D411yescharacteristic
148#41×C61—24no—
149#41×C61—24no—
150C2×Q8×C61C22×C412yes—
151C2×D4×C61—22no—
152C2×D4×C61—21no—
153C2×D4×C61—21no—
154C2×D4×C61C22×C412yes—
155C22×C4×C61—22no—
156C22×C4×C61—22no—
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2411yescharacteristic
160C2×C22⋊D61—22no—
161C2×C22⋊D61—22no—
162C2×C22⋊D61—22no—
163C2×C22⋊D61—22no—
164C2×C22⋊D61—22no—
165C22×Dic61—22no—
166C22×Dic61—22no—
167C22×Dic61C2×D411yescharacteristic
168C22×Dic61C2×D411yescharacteristic
169C22×Dic61C2×D411yescharacteristic
170#11758226—44no—
171Q8×D61—44no—
172#11758224—44no—
173#11758224—48no—
174D4×D61—44no—
175D4×D61—44no—
176D4×D61—44no—
177D4×D61—48no—
178#11758222—24no—
179#11758222—24no—
180#11758222—44no—
181#11758222—44no—
182C2×D244—22no—
183C2×D244—21no—
184C2×D244—21no—
185C2×D244C22×C412yes—
186C2×C4×D61—22no—
187C2×C4×D61—22no—
188C2×C4×D61—22no—
189C2×C4×D61—22no—
190C2×C4×D61—22no—
191C2×C4×D61—42no—
192C2×C4×D61—42no—
193C2×C4×D61—44no—
194C2×C4×D61—44no—
195C2×C4×D61C22⋊C411yescharacteristic
196C2×C4×D61C22⋊C411yescharacteristic
197C2×C4×D61C22⋊C411yescharacteristic
198C2×C4×D61C22⋊C411yescharacteristic
199C2×C4×D61C22⋊C411yescharacteristic
200C2×C4×D61C22⋊C411yescharacteristic
201C2×C4×D61C22⋊C411yescharacteristic
202C2×C4×D61C22⋊C411yescharacteristic
203C2×C4×D61C22×C411yescharacteristic
204C2×C4×D61C22×C411yescharacteristic
205C2×C4×D61C2×D411yescharacteristic
206C2×C4×D61C2×D411yescharacteristic
207C2×Dic122—22no—
208C2×Dic122C22×C412yes—
209M16×C61—24no—
210C2×C8×C61—22no—
211C4⋊C4×C61—21no—
212C4⋊C4×C61—21no—
213C22⋊C4×C61—22no—
214C22⋊C4×C61—22no—
215C42×C61—22no—
216C42×C61—22no—
217C42×C61C22×C411yescharacteristic
218C42×C61C22×C411yescharacteristic
219C42×C61C2×D411yescharacteristic
220C42×C61C2×D411yescharacteristic
221C22⋊Dic61—22no—
222C22⋊Dic61—22no—
223#11758198—22no—
224#11758198—22no—
225#11758198—22no—
226#11758198—22no—
227#11758198—44no—
228C4⋊Dic61—21no—
229C4⋊Dic61—21no—
230#11758196—22no—
231#11758196—22no—
232#11758196—44no—
233C4×Dic61—22no—
234C4×Dic61—22no—
235C4×Dic61C22⋊C411yescharacteristic
236C4×Dic61C22⋊C411yescharacteristic
237C4×Dic61C22⋊C411yescharacteristic
238C4×Dic61C22⋊C411yescharacteristic
239C4×Dic61C22⋊C411yescharacteristic
240C4×Dic61C22⋊C411yescharacteristic
241C4×Dic61C22⋊C411yescharacteristic
242C4×Dic61C22⋊C411yescharacteristic
243C4×Dic61C22×C411yescharacteristic
244C4×Dic61C22×C411yescharacteristic
245C4×Dic61C2×D411yescharacteristic
246C4×Dic61C2×D411yescharacteristic
247#11758194—24no—
248C2×#92418—22no—
249C23×C61—22no—
250C23×C61C22×D411yescharacteristic
251C22×D61—22no—
252C22×D61—22no—
253C22×D61—22no—
254C22×D61—41no—
255C22×D61—44no—
256C22×D61—44no—
257C22×D61—44no—
258C22×D61C2×C22⋊C411yescharacteristic
259C22×D61C2×C22⋊C411yescharacteristic
260Q8×C61—24no—
261D4×C61—24no—
262D4×C61—42no—
263D4×C61—42no—
264D4×C61—44no—
265C2×C4×C61—22no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—42no—
269C2×C4×C61—42no—
270C2×C4×C61—42no—
271C2×C4×C61—42no—
272C2×C4×C61—42no—
273C2×C4×C61C2×C22⋊C411yescharacteristic
274C2×C4×C61C2×C22⋊C411yescharacteristic
275C2×C4×C61C2×C22⋊C411yescharacteristic
276C2×C4×C61C2×C22⋊C411yescharacteristic
277C2×C4×C61C23×C411yescharacteristic
278C2×C4×C61C22×D411yescharacteristic
279C2×C4×C61H(5,𝔽2)12yes—
280C2×C4×C61H(5,𝔽2)12yes—
281C22⋊D61—44no—
282C22⋊D61—44no—
283C22⋊D61—44no—
284C22⋊D61—44no—
285C22⋊D61—44no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—22no—
289C2×Dic61—41no—
290C2×Dic61—44no—
291C2×Dic61—42no—
292C2×Dic61—42no—
293C2×Dic61—42no—
294C2×Dic61C2×C22⋊C411yescharacteristic
295C2×Dic61C2×C22⋊C411yescharacteristic
296C2×Dic61C2×C22⋊C411yescharacteristic
297C2×Dic61C2×C22⋊C411yescharacteristic
298C2×Dic61C2×C22⋊C411yescharacteristic
299C2×Dic61C2×C22⋊C411yescharacteristic
300D244—24no—
301D244—42no—
302D244—42no—
303D244—44no—
304C4×D61—22no—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—21no—
309C4×D61—21no—
310C4×D61—21no—
311C4×D61—21no—
312C4×D61—22no—
313C4×D61—22no—
314C4×D61—41no—
315C4×D61—41no—
316C4×D61—41no—
317C4×D61—41no—
318C4×D61—44no—
319C4×D61—44no—
320C4×D61—42no—
321C4×D61—42no—
322Dic122—24no—
323Dic122—44no—
324C8×C61—42no—
325#92418—42no—
326#21816—611nomaximal, Sylow
327C22×C61—21no—
328C22×C61—21no—
329C22×C61—42no—
330C22×C61—42no—
331C22×C61—42no—
332C22×C61C22×C22⋊C411yescharacteristic
333C22×C61#53512yes—
334C2×D61—21no—
335C2×D61—21no—
336C2×D61—21no—
337C2×D61—21no—
338C2×D61—21no—
339C2×D61—44no—
340C2×D61—42no—
341C2×D61—42no—
342C2×D61—42no—
343C2×D61—88no—
344C2×D61#42112yes—
345C4×C61—21no—
346C4×C61—21no—
347C4×C61—21no—
348C4×C61—21no—
349C4×C61—42no—
350C4×C61—82no—
351C4×C61#51812yes—
352C4×C61#53511yescharacteristic
353C4×C61#53511yescharacteristic
354Dic61—21no—
355Dic61—21no—
356Dic61—21no—
357Dic61—21no—
358Dic61—21no—
359Dic61—42no—
360Dic61—82no—
361Dic61#42112yes—
362C2×#532—611no—
363#2920—611no—
364#2283—611no—
365#1980—614no—
366#1963—611no—
367#1963—611no—
368#1963—611no—
369#1963D6111yescharacteristic, complemented
370#1789—614no—
371C2×C61—22no—
372C2×C61—82no—
373C2×C61#230911yescharacteristic
374C2×C61C2×#42111yescharacteristic
375C2×C61C2×#42111yescharacteristic
376D61—22no—
377D61—41no—
378D61—82no—
379C22×#41—612no—
380#532—612no—
381#532—611no—
382#532—611no—
383#532—612no—
384#532—611no—
385#532—1221no—
386#532—1221no—
387#532—1221no—
388#532—1221no—
389#532C2×D6111yescharacteristic
390C2×C4⋊Q8—611no—
391C2×#127—611no—
392C2×#124—612no—
393C2×#121—1221no—
394C2×#121—1221no—
395C2×C4×D4—1221no—
396C2×C4×D4—1221no—
397C22×C42—611no—
398#432—1221no—
399#432—1221no—
400#431—1221no—
401#431—1221no—
402#423—611no—
403#423C2×D6111yescharacteristic, complemented
404C2×#104—614no—
405C2×#104—614no—
406C2×#104—614no—
407C2×#104C2×D6114yescomplemented
408#407—612no—
409C4×M16—612no—
410#383—1221no—
411#382—1221no—
412#381—1221no—
413#380—1221no—
414C4×C4⋊C4—612no—
415C4×C22⋊C4—612no—
416#376—611no—
417#376C2×D6111yescharacteristic, complemented
418C61#2181611yescharacteristic, complemented, Sylow
419C2×#41—612no—
420C2×#41—612no—
421C2×#41—612no—
422C2×#41—1222no—
423C2×#41—1222no—
424C2×#41—2444no—
425C2×#41—2444no—
426C2×#41C22×D6112yes—
427C22×Q8—612no—
428C22×D4—612no—
429C22×D4—1221no—
430C22×D4—1221no—
431C22×D4—1222no—
432C23×C4—611no—
433C23×C4—611no—
434C23×C4—611no—
435C23×C4—1222no—
436C2×M16—612no—
437C2×M16C22×D6112yes—
438C4⋊Q8—612no—
439C4⋊Q8—611no—
440C4⋊Q8—1221no—
441C4⋊Q8—1221no—
442C4⋊Q8C4×D6111yescharacteristic
443#127—612no—
444#127—611no—
445#127—1221no—
446#127—1221no—
447#127C4×D6111yescharacteristic
448#124—612no—
449#124—612no—
450#124—612no—
451#124—1222no—
452#124—1222no—
453#124C4×D6112yes—
454#121—21no—
455#121—21no—
456#121—1222no—
457#121—1222no—
458#121—1221no—
459#121—1221no—
460#121—1221no—
461#121—1221no—
462#121—1222no—
463#121—1222no—
464#121—1221no—
465#121—1221no—
466C4×D4—21no—
467C4×D4—21no—
468C4×D4—1222no—
469C4×D4—1222no—
470C4×D4—1221no—
471C4×D4—1221no—
472C4×D4—1222no—
473C4×D4—1222no—
474C4×D4—1221no—
475C4×D4—1221no—
476C4×D4—1221no—
477C4×D4—1221no—
478C2×C4⋊C4—1221no—
479C2×C4⋊C4—1221no—
480C2×C4⋊C4—1222no—
481C2×C22⋊C4—1222no—
482C2×C22⋊C4—1222no—
483C2×C22⋊C4—1222no—
484C2×C42—611no—
485C2×C42—611no—
486C2×C42—611no—
487C2×C42—611no—
488C2×C42—611no—
489C2×C42—611no—
490C2×C42—611no—
491C2×C42—611no—
492C2×C42—611no—
493C2×C42—611no—
494C2×C42—611no—
495C2×C42—612no—
496C2×C42C22×D6112yes—
497C2×C42C22×D6111yescharacteristic
498C4⋊C8—21no—
499C4⋊C8—21no—
500C4⋊C8—1221no—
501C4⋊C8—1221no—
502#104—44no—
503#104—2444no—
504#104—2444no—
505#104—2444no—
506C22⋊C8—1222no—
507C22⋊C8—1222no—
508#97—1222no—
509C4×C8—1222no—
510#95—21no—
511#95—21no—
512#95—1222no—
513#95—1222no—
514#95—1221no—
515#95—1221no—
516C24—611no—
517C24—1222no—
518#41—24no—
519#41—24no—
520#41—1224no—
521#41—1224no—
522#41—2444no—
523#41—2444no—
524#41—2444no—
525#41—2448no—
526#41—2444no—
527C2×Q8—612no—
528C2×Q8—1222no—
529C2×Q8—2444no—
530C2×Q8C2×C4×D6112yes—
531C2×D4—22no—
532C2×D4—21no—
533C2×D4—21no—
534C2×D4—612no—
535C2×D4—1222no—
536C2×D4—1222no—
537C2×D4—1222no—
538C2×D4—1222no—
539C2×D4—1222no—
540C2×D4—1222no—
541C2×D4—1221no—
542C2×D4—1221no—
543C2×D4—2444no—
544C2×D4—2444no—
545C2×D4—2444no—
546C2×D4—2448no—
547C2×D4C2×C4×D6112yes—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—611no—
551C22×C4—611no—
552C22×C4—611no—
553C22×C4—611no—
554C22×C4—611no—
555C22×C4—611no—
556C22×C4—611no—
557C22×C4—611no—
558C22×C4—611no—
559C22×C4—611no—
560C22×C4—611no—
561C22×C4—611no—
562C22×C4—611no—
563C22×C4—611no—
564C22×C4—611no—
565C22×C4—1222no—
566C22×C4—1222no—
567C22×C4—1222no—
568C22×C4—1222no—
569C22×C4—1222no—
570C22×C4—1222no—
571C22×C4—1222no—
572C22×C4—2442no—
573C22×C4—2442no—
574C22×C4—2444no—
575C22×C4—2444no—
576C22×C4D4×D6111yescharacteristic
577C22×C4D4×D6111yescharacteristic
578C22×C4C23×D6111yescharacteristic
579M16—24no—
580M16—1224no—
581C2×C8—22no—
582C2×C8—1222no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—1222no—
586C4⋊C4—1222no—
587C4⋊C4—1221no—
588C4⋊C4—1221no—
589C4⋊C4—2444no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—1222no—
593C22⋊C4—1222no—
594C22⋊C4—1222no—
595C22⋊C4—1222no—
596C22⋊C4—1222no—
597C22⋊C4—1222no—
598C22⋊C4—2444no—
599C42—22no—
600C42—22no—
601C42—611no—
602C42—611no—
603C42—611no—
604C42—611no—
605C42—611no—
606C42—611no—
607C42—611no—
608C42—611no—
609C42—611no—
610C42—611no—
611C42—611no—
612C42—611no—
613C42—1222no—
614C42—1222no—
615C42C2×C4×D6111yescharacteristic
616C42C2×C4×D6111yescharacteristic
617C42D4×D6111yescharacteristic
618C42D4×D6111yescharacteristic
619C23—22no—
620C23—611no—
621C23—611no—
622C23—1222no—
623C23—1222no—
624C23—1222no—
625C23—2441no—
626C23—2444no—
627C23—2444no—
628C23—2444no—
629C23C2×D4×D6111yescharacteristic
630Q8—24no—
631Q8—1224no—
632Q8—2444no—
633D4—24no—
634D4—42no—
635D4—42no—
636D4—44no—
637D4—1224no—
638D4—2442no—
639D4—2442no—
640D4—2444no—
641D4—2444no—
642D4—2444no—
643D4—2444no—
644D4—2444no—
645D4—2444no—
646C2×C4—22no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—611no—
655C2×C4—611no—
656C2×C4—611no—
657C2×C4—611no—
658C2×C4—611no—
659C2×C4—611no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—1222no—
666C2×C4—1222no—
667C2×C4—1222no—
668C2×C4—1221no—
669C2×C4—1221no—
670C2×C4—1221no—
671C2×C4—1221no—
672C2×C4—1222no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4—2444no—
678C2×C4—2444no—
679C2×C4—2441no—
680C2×C4—2444no—
681C2×C4—2442no—
682C2×C4—2442no—
683C2×C4—2442no—
684C2×C4—2442no—
685C2×C4—2442no—
686C2×C4C22⋊C4×D6111yescharacteristic
687C2×C4C22⋊C4×D6111yescharacteristic
688C2×C4C22⋊C4×D6111yescharacteristic
689C2×C4C22⋊C4×D6111yescharacteristic
690C2×C4C22×C4×D6111yescharacteristic
691C2×C4C2×D4×D6111yescharacteristic
692C2×C4#1451982212yes—
693C2×C4#1451982312yes—
694C8—42no—
695C8—2442no—
696C22—21no—
697C22—21no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—612no—
702C22—1221no—
703C22—1221no—
704C22—1221no—
705C22—1221no—
706C22—1221no—
707C22—4888no—
708C22—2444no—
709C22—2442no—
710C22—2442no—
711C22—2442no—
712C22C2×C22⋊C4×D6111yescharacteristic
713C22#1684032812yes—
714C4—21no—
715C4—21no—
716C4—21no—
717C4—21no—
718C4—42no—
719C4—82no—
720C4—612no—
721C4—1221no—
722C4—1221no—
723C4—1221no—
724C4—1221no—
725C4—1221no—
726C4—4882no—
727C4—2442no—
728C4#1684023412yes—
729C4#1684032511yescharacteristic
730C4#1684033011yescharacteristic
731C2—22no—
732C2—82no—
733C2—1222no—
734C2—4882no—
735C2—2441no—
736C2#2144839811yescharacteristic
737C2#421×D6111yescharacteristic
738C2#421×D6111yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1963C2
socleC22×C61C22×C22⋊C4
prime radical#532×D61C2
cosocleC22×C4×C61C24
hypercenter#1963D61
hypocenterC61#21816
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1963

Complements

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

NH ≅ G/Ntype
2. #21454451C2semidirect
3. #21448211C2semidirect
4. #21446736C2semidirect
5. #21446652C2semidirect
6. #21446651C2semidirect
7. #21446650C2semidirect
8. #21445761C2semidirect
9. C61×#1963C2semidirect
11. #16840313C4semidirect
13. #16840311C4semidirect
14. #16840310C4semidirect
20. C4⋊Q8×D61C4semidirect
21. #127×D61C4semidirect
22. #124×D61C4semidirect
32. #16839786C22semidirect
33. C2×#14519705C22semidirect
34. C2×#14519704C22semidirect
35. C2×#14519703C22semidirect
37. M16×Dic61C22semidirect
42. C4×#11758196C22semidirect
44. #16839608C22semidirect
46. C61×#423C22semidirect
47. C2×#104×C61C22semidirect
48. C61×#376C22semidirect
369. #1963D61semidirect
403. #423C2×D61semidirect
407. C2×#104C2×D61semidirect
417. #376C2×D61semidirect
418. C61#21816semidirect

Maximal subgroups

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

subgroupindex
#532×D612
#214544512
#214482112
#214467362
#214466522
#214466512
#214466502
#214457612
C61×#19632
#2181661