Finite Group Databasebeta

← #29700397

Subgroups — #29700397

Order 15616.

1134 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839927C211yesmaximal, characteristic
2C2×#16839864C211yesmaximal, characteristic, complemented
3C2×#16839762C211yesmaximal, characteristic
4#21448823C211yesmaximal, characteristic, complemented
5#21448648C211yesmaximal, characteristic
6#21446677C211yesmaximal, characteristic, complemented
7#21446462C211yesmaximal, characteristic, complemented
8#21446251C211yesmaximal, characteristic, complemented
9#21446163C211yesmaximal, characteristic, complemented
10#21446154C211yesmaximal, characteristic, complemented
11#21446065C211yesmaximal, characteristic, complemented
12#21446008C211yesmaximal, characteristic, complemented
13#21445633C211yesmaximal, characteristic, complemented
14#21445604C211yesmaximal, characteristic, complemented
15C61×#1935C211yesmaximal, characteristic, complemented
16C22×#11758226C2211yescharacteristic
17C22×#11758202C2211yescharacteristic
18C22×#11758190C2211yescharacteristic
19C22×#11758189C2211yescharacteristic
20C2×#14519757C2211yescharacteristic
21C2×C4×Dic122C2211yescharacteristic
22C2×C4×D244C2211yescharacteristic
23C2×#14519739C2211yescharacteristic
24C2×C4⋊C4×D61C2211yescharacteristic
25#16839927C418yescomplemented
26#16839864—24no—
27C2×#14519711C2211yescharacteristic
28C2×#14519710C2211yescharacteristic
29#16839762—24no—
30C2×#14519702C2211yescharacteristic
31C2×#14519701C2211yescharacteristic
32C2×#14519700C2211yescharacteristic
33C2×#14519699C2211yescharacteristic
34C2×#14519697C2211yescharacteristic
35C2×#14519697C2211yescharacteristic
36C2×#14519689C2211yescharacteristic
37C2×C8×Dic61C2211yescharacteristic
38#16839669C2211yescharacteristic
39#16839667C2211yescharacteristic
40#16839658—21no—
41#16839645—21no—
42#16839640—21no—
43#16839640—21no—
44#16839633—21no—
45#16839624—21no—
46#16839619C2211yescharacteristic
47C4⋊C4×Dic61C2211yescharacteristic
48C4×#11758198C2211yescharacteristic
49#16839609—21no—
50#95×D61—21no—
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839517C2211yescharacteristic
54#16839516C2211yescharacteristic
55C2×#103×C61C2211yescharacteristic
56C2×#103×C61C2211yescharacteristic
57C2×#97×C61C2211yescharacteristic
58C61×#391C2211yescharacteristic
59C61×#389C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C61×#340C2211yescharacteristic
62C2×#11758226—22no—
63C2×#11758226—22no—
64C2×#11758226—22no—
65C2×#11758226—41no—
66C2×#11758226—41no—
67C2×#11758226C2×C414yes—
68C22×Dic122C2311yescharacteristic
69C22×D244—21no—
70C22×D244C2311yescharacteristic
71C22×C4×D61—21no—
72C22×C4×D61—21no—
73C22×C4×D61—21no—
74C22×C4×D61—21no—
75C22×C4×D61C2311yescharacteristic
76C2×#11758202—41no—
77C2×#11758202—41no—
78C2×#11758202C2×C414yescomplemented
79C2×#11758190—22no—
80C2×#11758190—22no—
81C2×#11758190C2×C414yescomplemented
82C2×#11758189—22no—
83C2×#11758189—22no—
84C2×#11758189—41no—
85C22×#92418C2311yescharacteristic
86C22×#92418C2311yescharacteristic
87#14519757—22no—
88#14519757C2×C414yescomplemented
89C4×Dic122—22no—
90C4×Dic122—41no—
91C4×D244—22no—
92C4×D244—41no—
93#14519739—22no—
94#14519739—41no—
95C2×C4⋊Dic61—21no—
96C2×C4⋊Dic61C2311yescharacteristic
97C2×C4⋊Dic61C2311yescharacteristic
98C2×#11758196—21no—
99C2×#11758196—21no—
100C4⋊C4×D61—22no—
101C4⋊C4×D61—41no—
102C2×#11758198—21no—
103C2×#11758198—21no—
104C2×#11758198—21no—
105C2×#11758198—21no—
106C2×#11758198D411yescharacteristic
107C2×#11758198D411yescharacteristic
108C2×C4×Dic61—21no—
109C2×C4×Dic61—21no—
110C2×C4×Dic61C2311yescharacteristic
111#14519711—22no—
112#14519710—41no—
113#14519702—22no—
114#14519701—22no—
115#14519700—41no—
116#14519699D414yes—
117#14519697—22no—
118#14519697C2×C414yescomplemented
119#14519689C2×C414yescomplemented
120C8×Dic61—41no—
121#14519684—21no—
122#14519684—21no—
123#14519684—21no—
124#14519684—21no—
125#14519684—21no—
126#14519684—21no—
127#14519684D411yescharacteristic
128#14519684D411yescharacteristic
129C22×Q8×C61C2311yescharacteristic
130C22×C8×C61C2311yescharacteristic
131C22×C8×C61C2311yescharacteristic
132C2×C4⋊C4×C61—21no—
133C2×C4⋊C4×C61C2311yescharacteristic
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C4⋊C4×C61C2311yescharacteristic
136C2×C42×C61C2311yescharacteristic
137#103×C61—22no—
138#103×C61C2×C414yescomplemented
139#97×C61—22no—
140#95×C61—21no—
141#95×C61—21no—
142#95×C61—21no—
143C23×D61—21no—
144C23×D61C2×D411yescharacteristic
145C2×Q8×C61—21no—
146C2×Q8×C61—21no—
147C2×Q8×C61—21no—
148C2×Q8×C61—21no—
149C2×Q8×C61—21no—
150C2×Q8×C61C22×C412yes—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—21no—
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2411yescharacteristic
158C22×Dic61—21no—
159C22×Dic61—21no—
160C22×Dic61—21no—
161C22×Dic61C2×D411yescharacteristic
162C22×Dic61C2×D411yescharacteristic
163C22×Dic61C2×D411yescharacteristic
164#11758226—28no—
165#11758226—44no—
166#11758226—44no—
167#11758226—44no—
168C2×D244—21no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—24no—
172C2×D244—42no—
173C2×D244—42no—
174C2×D244C22×C412yes—
175C2×D244C2×D412yes—
176C2×D244#4112yes—
177C2×C4×D61—21no—
178C2×C4×D61—21no—
179C2×C4×D61—21no—
180C2×C4×D61—21no—
181C2×C4×D61—24no—
182C2×C4×D61—42no—
183C2×C4×D61—42no—
184C2×C4×D61—42no—
185C2×C4×D61—42no—
186C2×C4×D61—42no—
187C2×C4×D61—42no—
188C2×C4×D61—42no—
189C2×C4×D61—42no—
190C2×C4×D61—81no—
191C2×C4×D61—81no—
192C2×C4×D61—81no—
193C2×C4×D61C22×C412yes—
194C2×C4×D61#4112yes—
195C2×Dic122—21no—
196C2×Dic122—21no—
197C2×Dic122—21no—
198C2×Dic122—21no—
199C2×Dic122—21no—
200C2×Dic122C22×C412yes—
201C2×C8×C61—21no—
202C2×C8×C61—21no—
203C2×C8×C61—21no—
204C2×C8×C61—21no—
205C2×C8×C61C22×C412yes—
206C2×C8×C61C2×D412yes—
207C4⋊C4×C61—21no—
208C4⋊C4×C61—21no—
209C4⋊C4×C61—21no—
210C4⋊C4×C61—21no—
211C4⋊C4×C61—21no—
212C4⋊C4×C61—81no—
213C4⋊C4×C61C22×C412yes—
214C42×C61—21no—
215C42×C61—21no—
216#11758202—44no—
217#11758198—24no—
218#11758198—22no—
219#11758198—41no—
220#11758198—42no—
221#11758198—42no—
222#11758198—81no—
223C4⋊Dic61—21no—
224C4⋊Dic61—24no—
225C4⋊Dic61—21no—
226C4⋊Dic61—21no—
227C4⋊Dic61C2×D412yes—
228#11758196—42no—
229#11758196—42no—
230C4×Dic61—21no—
231C4×Dic61—21no—
232C4×Dic61—42no—
233C4×Dic61—81no—
234C2×#92418—21no—
235C2×#92418—21no—
236C2×#92418—21no—
237C2×#92418—21no—
238C2×#92418—21no—
239C2×#92418C22×C412yes—
240#11758190—28no—
241#11758189—44no—
242C23×C61C22×D411yescharacteristic
243C22×D61—22no—
244C22×D61—22no—
245C22×D61—21no—
246C22×D61—22no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—21no—
251C22×D61—21no—
252C22×D61—41no—
253C22×D61—41no—
254C22×D61—41no—
255C22×D61—41no—
256C22×D61C4×D412yes—
257Q8×C61—22no—
258Q8×C61—22no—
259Q8×C61—41no—
260Q8×C61—41no—
261C2×C4×C61—22no—
262C2×C4×C61—22no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61C23×C411yescharacteristic
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61C2×#4111yescharacteristic
282C2×C4×C61C2×#4111yescharacteristic
283C2×C4×C61H(5,𝔽2)11yescharacteristic
284C2×C4×C61H(5,𝔽2)11yescharacteristic
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—22no—
290C2×Dic61—22no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61C4×D412yes—
302C2×Dic61#13712yes—
303D244—22no—
304D244—22no—
305D244—22no—
306D244—48no—
307D244C4×D414yes—
308C4×D61—22no—
309C4×D61—22no—
310C4×D61—22no—
311C4×D61—22no—
312C4×D61—48no—
313C4×D61—84no—
314C4×D61—84no—
315C4×D61—84no—
316Dic122—22no—
317Dic122—22no—
318Dic122—41no—
319Dic122—41no—
320C8×C61—22no—
321C8×C61—22no—
322#92418—22no—
323#92418—41no—
324#22862—611nomaximal, Sylow
325C22×C61C2×C4×D411yescharacteristic
326C22×C61D4211yescharacteristic
327C22×C61#54611yescharacteristic
328C22×C61C2×#13711yescharacteristic
329C22×C61#57511yescharacteristic
330C22×C61#57611yescharacteristic
331C22×C61#57811yescharacteristic
332C2×D61—22no—
333C2×D61—24no—
334C2×D61—22no—
335C2×D61—22no—
336C2×D61—42no—
337C2×D61—42no—
338C2×D61—41no—
339C2×D61—42no—
340C2×D61—41no—
341C2×D61—42no—
342C2×D61—42no—
343C2×D61—41no—
344C2×D61—41no—
345C2×D61—42no—
346C4×C61—42no—
347C4×C61—42no—
348C4×C61—41no—
349C4×C61—41no—
350C4×C61—81no—
351C4×C61—81no—
352C4×C61C2×C4×D411yescharacteristic
353C4×C61#51811yescharacteristic
354C4×C61#54611yescharacteristic
355C4×C61#55111yescharacteristic
356Dic61—22no—
357Dic61—22no—
358Dic61—42no—
359Dic61—42no—
360Dic61—41no—
361Dic61—81no—
362C2×#452—611no—
363C2×#440—611no—
364C2×#417—611no—
365#2360—611no—
366#2339—611no—
367#1969—611no—
368#1935D6111yescharacteristic, complemented
369#1928—611no—
370#1894—611no—
371#1878—611no—
372#1877—611no—
373#1862—611no—
374#1852—611no—
375C4×#102—611no—
376#1753—611no—
377C2×C61#235811yescharacteristic
378C2×C61C4×#13711yescharacteristic
379C2×C61#295111yescharacteristic
380C2×C61#327311yescharacteristic
381C2×C61#327611yescharacteristic
382C2×C61#331411yescharacteristic
383C2×C61#331511yescharacteristic
384D61—42no—
385D61—44no—
386C22×#41—611no—
387C22×Q16—611no—
388C22×SD16—611no—
389C22×M16—611no—
390C2×C22⋊Q8—611no—
391C2×C4×Q8—611no—
392C2×C4×D4—611no—
393C2×C4×D4—611no—
394C22×C4⋊C4—611no—
395#452—618no—
396#440—1224no—
397C2×#107—611no—
398C2×#107—611no—
399#417—1224no—
400C2×#103—611no—
401C2×#103—611no—
402C2×#103—611no—
403C2×#103C2×D6111yescharacteristic
404C2×#103C2×D6111yescharacteristic
405C2×#102—611no—
406C2×#102—611no—
407C2×#102—611no—
408C2×C22⋊C8—611no—
409C2×#97C2×D6111yescharacteristic
410C2×C4×C8—611no—
411#391—611no—
412#391—611no—
413#391C2×D6111yescharacteristic
414#389—1221no—
415#389C2×D6111yescharacteristic
416#387—1221no—
417#386—1221no—
418#386—1221no—
419#385—1221no—
420#381—1221no—
421#380—611no—
422C4×C4⋊C4—611no—
423C4×C22⋊C4—611no—
424C4×C22⋊C4—1221no—
425C2×#95—1221no—
426#340—611no—
427#340—611no—
428#340C2×D6111yescharacteristic
429#340C2×D6111yescharacteristic
430#336—611no—
431#336—611no—
432C61#2286211yescharacteristic, complemented, Sylow
433C2×#41—614no—
434C2×#41—1222no—
435C2×#41—1222no—
436C2×#41—1222no—
437C2×#41—2441no—
438C2×#41—2441no—
439C22×Q8—611no—
440C22×Q8C22×D6111yescharacteristic
441C22×D4—611no—
442C22×D4—1221no—
443C23×C4—611no—
444C23×C4—1221no—
445C23×C4—1221no—
446C23×C4—1221no—
447C23×C4—1221no—
448C2×Q16—614no—
449C2×Q16—2441no—
450C2×Q16—2441no—
451C2×SD16—614no—
452C2×SD16—1222no—
453C2×SD16—1222no—
454C2×M16—1222no—
455C2×M16—1222no—
456C2×M16—2441no—
457C22×C8—611no—
458C22×C8—611no—
459C22×C8C22×D6111yescharacteristic
460C22×C8C22×D6111yescharacteristic
461C22⋊Q8—614no—
462C22⋊Q8—1222no—
463C4×Q8—1222no—
464C4×Q8—2441no—
465C4×D4—1222no—
466C4×D4—1222no—
467C4×D4—2441no—
468C4×D4—2441no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—611no—
471C2×C4⋊C4—611no—
472C2×C4⋊C4—1222no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4—1221no—
475C2×C4⋊C4—1221no—
476C2×C4⋊C4—2441no—
477C2×C4⋊C4C22×D6111yescharacteristic
478C2×C4⋊C4C22×D6111yescharacteristic
479C2×C4⋊C4C22×D6111yescharacteristic
480C2×C22⋊C4—611no—
481C2×C22⋊C4—611no—
482C2×C22⋊C4—1221no—
483C2×C22⋊C4—1221no—
484C2×C22⋊C4—1221no—
485C2×C22⋊C4—1221no—
486C2×C42—611no—
487C2×C42—1221no—
488C2×C42—1221no—
489C2×C42C22×D6111yescharacteristic
490#107—1222no—
491#107—2441no—
492#103—22no—
493#103—1222no—
494#103—1222no—
495#103—2441no—
496#103C4×D6114yescomplemented
497#102—614no—
498#102—614no—
499#102—1222no—
500C22⋊C8—614no—
501#97—22no—
502C4×C8—2441no—
503#95—21no—
504#95—21no—
505#95—21no—
506#95—611no—
507#95—611no—
508#95—1221no—
509#95—1221no—
510#95—1221no—
511#95—1221no—
512#95—1221no—
513#95—1221no—
514C24—611no—
515C24—1221no—
516#41—1228no—
517#41—2444no—
518#41—2444no—
519#41—2444no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—612no—
526C2×Q8—1221no—
527C2×Q8—1221no—
528C2×Q8—1221no—
529C2×Q8—1221no—
530C2×Q8—1221no—
531C2×Q8C2×C4×D6112yes—
532C2×D4—612no—
533C2×D4—612no—
534C2×D4—612no—
535C2×D4—1224no—
536C2×D4—1221no—
537C2×D4—1221no—
538C2×D4—1221no—
539C2×D4—2442no—
540C2×D4—2442no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—611no—
546C22×C4—611no—
547C22×C4—612no—
548C22×C4—612no—
549C22×C4—611no—
550C22×C4—1224no—
551C22×C4—1221no—
552C22×C4—1221no—
553C22×C4—1221no—
554C22×C4—1221no—
555C22×C4—1221no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—4881no—
559C22×C4—4881no—
560C22×C4—4881no—
561C22×C4—2442no—
562C22×C4—2442no—
563C22×C4—2442no—
564C22×C4—2442no—
565C22×C4—2442no—
566C22×C4—2442no—
567C22×C4—2442no—
568C22×C4—2442no—
569C22×C4D4×D6111yescharacteristic
570C22×C4D4×D6111yescharacteristic
571C22×C4C23×D6111yescharacteristic
572Q16—2444no—
573SD16—1228no—
574M16—2444no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—612no—
580C2×C8—1221no—
581C2×C8—1221no—
582C2×C8—1221no—
583C2×C8—1221no—
584C2×C8—1221no—
585C2×C8C2×C4×D6112yes—
586C2×C8D4×D6112yes—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—81no—
593C4⋊C4—612no—
594C4⋊C4—1224no—
595C4⋊C4—1221no—
596C4⋊C4—1221no—
597C4⋊C4—1221no—
598C4⋊C4—2442no—
599C4⋊C4—2442no—
600C4⋊C4C2×C4×D6112yes—
601C22⋊C4—1222no—
602C22⋊C4—1224no—
603C22⋊C4—4881no—
604C22⋊C4—2441no—
605C22⋊C4—2442no—
606C22⋊C4—2442no—
607C42—21no—
608C42—21no—
609C42—1221no—
610C42—1221no—
611C42—4881no—
612C42—2442no—
613C23—612no—
614C23—1222no—
615C23—1221no—
616C23—1221no—
617C23—1221no—
618C23—1221no—
619C23—1222no—
620C23—1221no—
621C23—1222no—
622C23—1221no—
623C23—2441no—
624C23—2441no—
625C23—2441no—
626C23—2441no—
627C23C2×D4×D6111yescharacteristic
628Q8—22no—
629Q8—22no—
630Q8—41no—
631Q8—41no—
632Q8—1222no—
633Q8—1222no—
634Q8—2441no—
635Q8—2441no—
636D4—614no—
637D4—1222no—
638D4—1222no—
639D4—1222no—
640D4—2448no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—612no—
660C2×C4—612no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—1221no—
664C2×C4—1221no—
665C2×C4—1222no—
666C2×C4—1222no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—1222no—
670C2×C4—1221no—
671C2×C4—1221no—
672C2×C4—1222no—
673C2×C4—1221no—
674C2×C4—4884no—
675C2×C4—4884no—
676C2×C4—4884no—
677C2×C4—2448no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4—2441no—
681C2×C4—2441no—
682C2×C4—2441no—
683C2×C4—2441no—
684C2×C4—2441no—
685C2×C4C22×C4×D6111yescharacteristic
686C2×C4C2×D4×D6111yescharacteristic
687C2×C4#41×D6111yescharacteristic
688C2×C4#41×D6111yescharacteristic
689C2×C4#1451982311yescharacteristic
690C2×C4#1451982311yescharacteristic
691C8—22no—
692C8—22no—
693C8—1222no—
694C8—2441no—
695C22—1222no—
696C22—1222no—
697C22—1224no—
698C22—1222no—
699C22—2441no—
700C22—2442no—
701C22—2442no—
702C22—2441no—
703C22—2442no—
704C22—2442no—
705C22—2442no—
706C22—2441no—
707C22—2441no—
708C22—2442no—
709C22C4×D4×D6111yescharacteristic
710C22#1684039611yescharacteristic
711C22#1684040511yescharacteristic
712C22#137×D6111yescharacteristic
713C22#1684056111yescharacteristic
714C22#1684056611yescharacteristic
715C22#1684057811yescharacteristic
716C4—41no—
717C4—41no—
718C4—42no—
719C4—42no—
720C4—81no—
721C4—81no—
722C4—1222no—
723C4—1222no—
724C4—4881no—
725C4—2442no—
726C4—2442no—
727C4—2441no—
728C4C4×D4×D6111yescharacteristic
729C4#1684023611yescharacteristic
730C4#1684040411yescharacteristic
731C4#1684043711yescharacteristic
732C2—2442no—
733C2—2444no—
734C2#2144879711yescharacteristic
735C2#2145463511yescharacteristic
736C2#2145469111yescharacteristic
737C2#2145742711yescharacteristic
738C2#2145746211yescharacteristic
739C2#2145789911yescharacteristic
740C2#2145791411yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1935C2
socleC23×C61C22×D4
prime radicalC22×#11758226C22
cosocleC22×C4×C61C24
hypercenter#1935D61
hypocenterC61#22862
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1935

Complements

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

NH ≅ G/Ntype
2. C2×#16839864C2semidirect
4. #21448823C2semidirect
6. #21446677C2semidirect
7. #21446462C2semidirect
8. #21446251C2semidirect
9. #21446163C2semidirect
10. #21446154C2semidirect
11. #21446065C2semidirect
12. #21446008C2semidirect
13. #21445633C2semidirect
14. #21445604C2semidirect
15. C61×#1935C2semidirect
25. #16839927C4semidirect
78. C2×#11758202C2×C4semidirect
81. C2×#11758190C2×C4semidirect
88. #14519757C2×C4semidirect
118. #14519697C2×C4semidirect
119. #14519689C2×C4semidirect
138. #103×C61C2×C4semidirect
368. #1935D61semidirect
432. C61#22862semidirect
496. #103C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399272
C2×#168398642
C2×#168397622
#214488232
#214486482
#214466772
#214464622
#214462512
#214461632
#214461542
#214460652
#214460082
#214456332
#214456042
C61×#19352
#2286261