Finite Group Databasebeta

← #30547650

Subgroups — #30547650

Order 15616.

2030 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459020C211yesmaximal, characteristic
2#21455677C214yesmaximal, complemented
3#21455666C214yesmaximal, complemented
4#21455655C214yesmaximal, complemented
5#21455644C214yesmaximal, complemented
6#21455637C214yesmaximal, complemented
7#21455628C214yesmaximal, complemented
8#21454408C211yesmaximal, characteristic, complemented
9C2×#16839802C211yesmaximal, characteristic, complemented
10#21454383C211yesmaximal, characteristic, complemented
11#21454336C211yesmaximal, characteristic
12C2×#16839761C211yesmaximal, characteristic
13C2×C61×#544C211yesmaximal, characteristic, complemented
14C22×#11758222C2211yescharacteristic
15C22×#11758194C2211yescharacteristic
16C22×#11758194C2211yescharacteristic
17#16840243—21no—
18#16840243—21no—
19#16840242C2212yes—
20#16840242C2212yes—
21#16840239C2212yes—
22#16840236C2212yes—
23#16840235—22no—
24C4×#11758222C2214yes—
25#16840230—22no—
26C2×#14519736C2211yescharacteristic
27#117×D61—22no—
28#16840066C2218yescomplemented
29#16840066C2218yescomplemented
30#16840059C2218yescomplemented
31#16840059C2218yescomplemented
32#16840054C2218yescomplemented
33#16840049C2218yescomplemented
34#16840044C2218yescomplemented
35#16840039C2218yescomplemented
36#16839805C2212yescomplemented
37#16839805C2212yescomplemented
38#16839802C2214yes—
39#16839802C2212yescomplemented
40#16839802C2214yescomplemented
41#16839802C2212yescomplemented
42#16839798C2214yes—
43C2×#14519710C2212yescomplemented
44C2×#14519708C2212yescomplemented
45#16839789C2214yes—
46#16839789C2214yescomplemented
47#16839786C2214yescomplemented
48#16839770C2212yes—
49#16839766C2212yes—
50#16839761C2212yes—
51#16839761C2212yes—
52#16839761C2214yes—
53#16839761C2214yes—
54#16839756C2214yes—
55C2×#14519700C2212yes—
56C2×#14519697C2212yes—
57C61×#544—22no—
58C61×#544—22no—
59C61×#544C2214yes—
60C61×#544C2214yescomplemented
61C2×C4⋊Q8×C61—21no—
62C2×C4⋊Q8×C61C2212yescomplemented
63C2×#125×C61—21no—
64C2×#125×C61C2212yescomplemented
65C2×C22⋊Q8×C61—22no—
66C2×#117×C61C2211yescharacteristic
67C2×#117×C61C2211yescharacteristic
68C22×C4⋊C4×C61C2211yescharacteristic
69C2×#11758222—21no—
70C2×#11758222—21no—
71C2×#11758222—24no—
72C2×#11758222Q818yescomplemented
73C2×#11758222C2312yes—
74C2×#11758222C2312yes—
75C22×Dic122C2311yescharacteristic
76C22×D244C2311yescharacteristic
77C22×C22⋊D61—21no—
78C22×C4×D61—21no—
79C2×#11758194—24no—
80C2×#11758194—24no—
81C2×#11758194C2312yes—
82C2×#11758194C2312yes—
83C2×#11758194C2312yes—
84C2×#11758194C2312yes—
85C22×#92418C2312yes—
86C22×#92418C2312yes—
87C4×Dic122C2314yes—
88C4×Dic122C2314yes—
89#14519742—22no—
90#14519742—22no—
91C4×D244C2314yes—
92C4×D244C2314yes—
93#14519739—22no—
94#14519739—22no—
95C4×C22⋊D61—24no—
96C4×C22⋊D61—24no—
97#14519737—24no—
98#14519737—24no—
99#14519736—21no—
100#14519736—21no—
101#14519736C2312yes—
102#14519736C2312yes—
103#14519735—22no—
104#14519735—22no—
105#14519734—24no—
106#14519733—24no—
107C2×C4⋊Dic61C2311yescharacteristic
108C2×C4⋊Dic61C2311yescharacteristic
109C4⋊C4×D61—22no—
110C4⋊C4×D61—22no—
111C2×C22⋊Dic61—21no—
112C22⋊C4×D61—24no—
113C2×C4×Dic61—21no—
114C42×D61—24no—
115#14519710C2314yes—
116#14519710C2318yes—
117#14519710C2314yes—
118#14519708C2314yes—
119#14519708C2318yes—
120#14519708C2314yes—
121C4⋊#92418C2318yes—
122C4⋊#92418C2318yes—
123#14519700C2318yes—
124#14519700C2314yes—
125#14519700C2314yes—
126#14519697C2318yes—
127#14519697C2314yes—
128#14519697C2314yes—
129C22×Q8×C61—22no—
130C23×C4×C61—21no—
131C23×C4×C61C2311yescharacteristic
132C4⋊Q8×C61—24no—
133C4⋊Q8×C61—24no—
134C4⋊Q8×C61—24no—
135C4⋊Q8×C61C2318yes—
136#125×C61—24no—
137#125×C61—24no—
138#125×C61—24no—
139#125×C61C2318yes—
140C22⋊Q8×C61—28no—
141C22⋊Q8×C61—28no—
142#117×C61—21no—
143#117×C61—21no—
144#117×C61D412yes—
145#117×C61D412yes—
146#117×C61C2312yes—
147#117×C61C2312yes—
148#117×C61C2312yes—
149#117×C61C2312yes—
150C2×C4⋊C4×C61—21no—
151C2×C4⋊C4×C61—22no—
152C2×C4⋊C4×C61—22no—
153C2×C4⋊C4×C61—21no—
154C2×C4⋊C4×C61—21no—
155C2×C4⋊C4×C61—22no—
156C2×C4⋊C4×C61D411yescharacteristic
157C2×C4⋊C4×C61D411yescharacteristic
158C2×C4⋊C4×C61C2311yescharacteristic
159C2×C4⋊C4×C61C2312yes—
160C2×C4⋊C4×C61C2312yes—
161C2×C4⋊C4×C61C2312yes—
162C2×C4⋊C4×C61C2311yescharacteristic
163C2×C22⋊C4×C61—21no—
164C2×C22⋊C4×C61D412yes—
165C2×C42×C61—21no—
166C2×C42×C61C2312yes—
167C24×C61C2×D411yescharacteristic
168C23×D61—21no—
169C2×Q8×C61—28no—
170C2×Q8×C61—84no—
171C22×C4×C61—21no—
172C22×C4×C61—21no—
173C22×C4×C61—22no—
174C22×C4×C61—22no—
175C22×C4×C61—22no—
176C22×C4×C61—82no—
177C22×C4×C61C2×D412yes—
178C22×C4×C61C2×D412yes—
179C22×C4×C61C2×D411yescharacteristic
180C22×C4×C61C2×D411yescharacteristic
181C22×C4×C61C2×D411yescharacteristic
182C22×C4×C61C2×Q814yes—
183C22×C4×C61#4114yes—
184C22×C4×C61C2411yescharacteristic
185C22×C4×C61C2411yescharacteristic
186C22×C4×C61C2411yescharacteristic
187C2×C22⋊D61—28no—
188C2×C22⋊D61—22no—
189C2×C22⋊D61—22no—
190C22×Dic61—21no—
191C22×Dic61—21no—
192C22×Dic61—21no—
193#11758222—28no—
194#11758222—28no—
195#11758222—24no—
196#11758222—24no—
197#11758222C2×Q818yes—
198#11758222C2×Q818yescomplemented
199C2×D244—21no—
200C2×D244—22no—
201C2×D244C2×Q814yescomplemented
202C2×D244C2412yes—
203C2×C4×D61—28no—
204C2×C4×D61—22no—
205C2×C4×D61—22no—
206C2×C4×D61—24no—
207C2×C4×D61—24no—
208C2×Dic122—21no—
209C2×Dic122—22no—
210C2×Dic122C2×Q814yescomplemented
211C2×Dic122C2412yes—
212C4⋊C4×C61—22no—
213C4⋊C4×C61—22no—
214C4⋊C4×C61—22no—
215C4⋊C4×C61—28no—
216C4⋊C4×C61—28no—
217C4⋊C4×C61—28no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61C2×D412yes—
221C4⋊C4×C61C2×D412yes—
222C4⋊C4×C61C2×D412yes—
223C4⋊C4×C61C2×D412yes—
224C4⋊C4×C61C2414yes—
225C4⋊C4×C61C2412yes—
226C4⋊C4×C61C2412yes—
227C22⋊C4×C61—22no—
228C22⋊C4×C61—22no—
229C22⋊C4×C61C2×D414yes—
230C22⋊C4×C61C2×D414yes—
231C42×C61—22no—
232C42×C61—22no—
233C42×C61C2×D414yes—
234C42×C61C2414yes—
235C22⋊Dic61—22no—
236C22⋊Dic61—22no—
237#11758198—24no—
238#11758198—24no—
239C4⋊Dic61—21no—
240C4⋊Dic61—21no—
241C4⋊Dic61C2412yes—
242C4⋊Dic61C2412yes—
243#11758196—24no—
244#11758196—24no—
245C4×Dic61—22no—
246C4×Dic61—24no—
247C4×Dic61—24no—
248C4×Dic61—22no—
249#11758194—24no—
250#11758194—24no—
251#11758194—24no—
252#11758194—24no—
253C2×#92418—24no—
254C2×#92418—24no—
255C2×#92418C2414yes—
256C2×#92418C2414yes—
257C23×C61—41no—
258C23×C61—41no—
259C23×C61C22⋊Q814yes—
260C23×C61C22×D411yescharacteristic
261C23×C61C22×D411yescharacteristic
262C23×C61C22×D411yescharacteristic
263C22×D61—22no—
264C22×D61—24no—
265C22×D61—81no—
266C22×D61—81no—
267Q8×C61—88no—
268C2×C4×C61—22no—
269C2×C4×C61—22no—
270C2×C4×C61—24no—
271C2×C4×C61—42no—
272C2×C4×C61—42no—
273C2×C4×C61—42no—
274C2×C4×C61—44no—
275C2×C4×C61—42no—
276C2×C4×C61—82no—
277C2×C4×C61—82no—
278C2×C4×C61C22⋊Q814yes—
279C2×C4×C61C22⋊Q814yes—
280C2×C4×C61C22⋊Q814yes—
281C2×C4×C61C22×D414yes—
282C2×C4×C61C22×D414yes—
283C2×C4×C61C22×D411yescharacteristic
284C2×C4×C61C22×D411yescharacteristic
285C2×C4×C61C22×D411yescharacteristic
286C2×C4×C61C22×Q812yes—
287C2×C4×C61C22×Q812yes—
288C2×C4×C61C22×Q812yes—
289C2×C4×C61C2×#4112yes—
290C2×C4×C61C2×#4112yes—
291C2×C4×C61C2×#4112yes—
292C2×C4×C61C2511yescharacteristic
293C22⋊D61—28no—
294C22⋊D61—28no—
295C2×Dic61—24no—
296C2×Dic61—22no—
297C2×Dic61—22no—
298C2×Dic61—22no—
299C2×Dic61—81no—
300C2×Dic61—81no—
301D244—24no—
302D244—22no—
303D244C22×Q814yes—
304C4×D61—28no—
305C4×D61—28no—
306C4×D61—84no—
307C4×D61—84no—
308Dic122—24no—
309Dic122—22no—
310Dic122C22×Q814yes—
311#92418—24no—
312#92418—24no—
313#60493—611nomaximal, Sylow
314C22×C61—21no—
315C22×C61—21no—
316C22×C61—21no—
317C22×C61—21no—
318C22×C61—21no—
319C22×C61—21no—
320C22×C61—44no—
321C22×C61C2×C22⋊Q812yes—
322C22×C61C2×C22⋊Q812yes—
323C22×C61C2×C22⋊Q812yes—
324C22×C61C23×D411yescharacteristic
325C2×D61—24no—
326C2×D61—42no—
327C2×D61—42no—
328C2×D61—84no—
329C4×C61—24no—
330C4×C61—24no—
331C4×C61—44no—
332C4×C61—42no—
333C4×C61—42no—
334C4×C61C2×C22⋊Q812yes—
335C4×C61C2×C22⋊Q812yes—
336C4×C61C2×C22⋊Q812yes—
337C4×C61C23×Q811yescharacteristic
338C4×C61C22×#4111yescharacteristic
339Dic61—24no—
340Dic61—42no—
341Dic61—42no—
342C2×#544D6111yescharacteristic, complemented
343#3428—611no—
344#3084—614no—
345#3083—614no—
346#3082—614no—
347#3081—614no—
348#3080—614no—
349#3079—614no—
350#2911—611no—
351C2×#428—611no—
352#2905—611no—
353#2896—611no—
354C2×#417—611no—
355C2×C61—22no—
356C2×C61—22no—
357C2×C61—22no—
358C2×C61C22×C22⋊Q811yescharacteristic
359C2×C61#358511yescharacteristic
360C2×C61#358611yescharacteristic
361D61—44no—
362C22×#41—611no—
363C22×M16—611no—
364C22×M16—611no—
365#544—22no—
366#544—22no—
367#544C2×D6114yes—
368#544C2×D6114yescomplemented
369C2×C4⋊Q8—21no—
370C2×C4⋊Q8C2×D6112yescomplemented
371C2×#125—21no—
372C2×#125C2×D6112yescomplemented
373C2×C22⋊Q8—22no—
374#520—612no—
375#520—612no—
376#520—1221no—
377#520—1221no—
378#519—612no—
379#518—612no—
380#518—1222no—
381C4×#41—614no—
382C4×#41—1222no—
383C2×#117—611no—
384C2×#117—1222no—
385C2×#117C2×D6111yescharacteristic
386C2×#117C2×D6111yescharacteristic
387C22×C4⋊C4C2×D6111yescharacteristic
388#479—618no—
389#479—618no—
390#478—618no—
391#478—618no—
392#477—618no—
393#476—618no—
394#475—618no—
395#474—618no—
396#428—612no—
397#428—612no—
398#428—612no—
399#428—614no—
400#428—612no—
401#428—614no—
402#427—614no—
403C2×#107—612no—
404C2×#106—612no—
405#424—614no—
406#424—614no—
407#423—614no—
408#419—612no—
409#418—612no—
410#417—612no—
411#417—614no—
412#417—612no—
413#417—614no—
414#416—614no—
415C2×#103—612no—
416C2×#102—612no—
417C61#6049311yescharacteristic, complemented, Sylow
418C2×#41—618no—
419C2×#41—612no—
420C2×#41—612no—
421C2×#41—1224no—
422C2×#41—1221no—
423C2×#41—1221no—
424C22×Q8—22no—
425C22×Q8—611no—
426C22×D4—611no—
427C22×D4—1221no—
428C23×C4—21no—
429C23×C4—1221no—
430C23×C4C22×D6111yescharacteristic
431C2×M16—612no—
432C2×M16—612no—
433C2×M16—612no—
434C2×M16—612no—
435C2×M16—1224no—
436C2×M16—1224no—
437C22×C8—612no—
438C22×C8—612no—
439C4⋊Q8—24no—
440C4⋊Q8—24no—
441C4⋊Q8—24no—
442C4⋊Q8C22×D6118yes—
443#125—24no—
444#125—24no—
445#125—24no—
446#125C22×D6118yes—
447C22⋊Q8—28no—
448C22⋊Q8—28no—
449C4×Q8—614no—
450C4×Q8—614no—
451C4×Q8—1222no—
452C4×Q8—1222no—
453C4×D4—614no—
454C4×D4—614no—
455C4×D4—1224no—
456C4×D4—1224no—
457C4×D4—1222no—
458C4×D4—1222no—
459C4×D4—1224no—
460C4×D4—1224no—
461#117—21no—
462#117—21no—
463#117—612no—
464#117—612no—
465#117—1221no—
466#117—1221no—
467#117—1222no—
468#117—1222no—
469#117—1224no—
470#117—1224no—
471#117C22⋊D6112yes—
472#117C22⋊D6112yes—
473#117C22×D6112yes—
474#117C22×D6112yes—
475#117C22×D6112yes—
476#117C22×D6112yes—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—22no—
481C2×C4⋊C4—22no—
482C2×C4⋊C4—22no—
483C2×C4⋊C4—611no—
484C2×C4⋊C4—611no—
485C2×C4⋊C4—1222no—
486C2×C4⋊C4—1222no—
487C2×C4⋊C4C22⋊D6111yescharacteristic
488C2×C4⋊C4C22⋊D6111yescharacteristic
489C2×C4⋊C4C22×D6112yes—
490C2×C4⋊C4C22×D6112yes—
491C2×C4⋊C4C22×D6112yes—
492C2×C4⋊C4C22×D6111yescharacteristic
493C2×C4⋊C4C22×D6111yescharacteristic
494C2×C22⋊C4—21no—
495C2×C22⋊C4—1221no—
496C2×C22⋊C4—1224no—
497C2×C22⋊C4C22⋊D6112yes—
498C2×C42—21no—
499C2×C42—1221no—
500C2×C42—1224no—
501C2×C42C22×D6112yes—
502#107—618no—
503#107—614no—
504#107—614no—
505#106—618no—
506#106—614no—
507#106—614no—
508C4⋊C8—618no—
509C4⋊C8—618no—
510#103—618no—
511#103—614no—
512#103—614no—
513#102—618no—
514#102—614no—
515#102—614no—
516C24—1221no—
517C24C2×C22⋊D6111yescharacteristic
518#41—618no—
519#41—618no—
520#41—1224no—
521#41—1224no—
522#41—1228no—
523#41—1228no—
524C2×Q8—28no—
525C2×Q8—84no—
526C2×Q8—614no—
527C2×Q8—612no—
528C2×Q8—1221no—
529C2×Q8—1222no—
530C2×D4—614no—
531C2×D4—612no—
532C2×D4—1222no—
533C2×D4—1222no—
534C2×D4—1228no—
535C2×D4—1221no—
536C2×D4—1222no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—22no—
540C22×C4—22no—
541C22×C4—22no—
542C22×C4—82no—
543C22×C4—1221no—
544C22×C4—1222no—
545C22×C4—1222no—
546C22×C4—1228no—
547C22×C4—1221no—
548C22×C4—1221no—
549C22×C4—1224no—
550C22×C4—1224no—
551C22×C4Q8×D6114yes—
552C22×C4#1175822614yes—
553C22×C4C2×C22⋊D6112yes—
554C22×C4C2×C22⋊D6112yes—
555C22×C4C2×C22⋊D6111yescharacteristic
556C22×C4C2×C22⋊D6111yescharacteristic
557C22×C4C2×C22⋊D6111yescharacteristic
558C22×C4C23×D6111yescharacteristic
559C22×C4C23×D6111yescharacteristic
560C22×C4C23×D6111yescharacteristic
561M16—1224no—
562M16—1224no—
563M16—1224no—
564M16—1224no—
565C2×C8—614no—
566C2×C8—614no—
567C2×C8—1224no—
568C2×C8—1224no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—28no—
573C4⋊C4—28no—
574C4⋊C4—28no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—612no—
578C4⋊C4—612no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1224no—
582C4⋊C4—1224no—
583C4⋊C4C2×C22⋊D6112yes—
584C4⋊C4C2×C22⋊D6112yes—
585C4⋊C4C2×C22⋊D6112yes—
586C4⋊C4C2×C22⋊D6112yes—
587C4⋊C4C23×D6114yes—
588C4⋊C4C23×D6112yes—
589C4⋊C4C23×D6112yes—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—1222no—
593C22⋊C4—1222no—
594C22⋊C4—1224no—
595C22⋊C4—1224no—
596C22⋊C4C2×C22⋊D6114yes—
597C22⋊C4C2×C22⋊D6114yes—
598C42—22no—
599C42—22no—
600C42—1222no—
601C42—1222no—
602C42—1224no—
603C42—1224no—
604C42C2×C22⋊D6114yes—
605C42C23×D6114yes—
606C23—41no—
607C23—41no—
608C23—1224no—
609C23—1222no—
610C23—4881no—
611C23—4881no—
612C23#1451975314yes—
613C23C22×C22⋊D6111yescharacteristic
614C23C22×C22⋊D6111yescharacteristic
615C23C22×C22⋊D6111yescharacteristic
616Q8—88no—
617Q8—614no—
618Q8—1224no—
619Q8—1222no—
620D4—614no—
621D4—1228no—
622D4—1228no—
623D4—1224no—
624D4—1222no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—44no—
632C2×C4—42no—
633C2×C4—82no—
634C2×C4—82no—
635C2×C4—1224no—
636C2×C4—1222no—
637C2×C4—1228no—
638C2×C4—1228no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—4884no—
642C2×C4—4884no—
643C2×C4—4881no—
644C2×C4—4881no—
645C2×C4#1451975314yes—
646C2×C4#1451975314yes—
647C2×C4#1451975314yes—
648C2×C4C22×C22⋊D6114yes—
649C2×C4C22×C22⋊D6114yes—
650C2×C4C22×C22⋊D6111yescharacteristic
651C2×C4C22×C22⋊D6111yescharacteristic
652C2×C4C22×C22⋊D6111yescharacteristic
653C2×C4C2×Q8×D6112yes—
654C2×C4C2×Q8×D6112yes—
655C2×C4C2×Q8×D6112yes—
656C2×C4C2×#1175822612yes—
657C2×C4C2×#1175822612yes—
658C2×C4C2×#1175822612yes—
659C2×C4C24×D6111yescharacteristic
660C8—1224no—
661C8—1224no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—44no—
669C22—1224no—
670C22—4884no—
671C22—2442no—
672C22—2442no—
673C22C2×#1451975312yes—
674C22C2×#1451975312yes—
675C22C2×#1451975312yes—
676C22C23×C22⋊D6111yescharacteristic
677C4—24no—
678C4—24no—
679C4—44no—
680C4—42no—
681C4—42no—
682C4—1224no—
683C4—2442no—
684C4—2442no—
685C4C2×#1451975312yes—
686C4C2×#1451975312yes—
687C4C2×#1451975312yes—
688C4C22×Q8×D6111yescharacteristic
689C4C22×#1175822611yescharacteristic
690C2—22no—
691C2—22no—
692C2—22no—
693C2—2444no—
694C2C22×#1451975311yescharacteristic
695C2#2146059911yescharacteristic
696C2#2146060611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC2×C61×#544C2
socleC22×C61C23×D4
prime radicalC22×#11758222C22
hypercenterC2×#544D61
hypocenterC61#60493
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×#117 ◁ C2×#544

Complements

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

NH ≅ G/Ntype
2. #21455677C2semidirect
3. #21455666C2semidirect
4. #21455655C2semidirect
5. #21455644C2semidirect
6. #21455637C2semidirect
7. #21455628C2semidirect
8. #21454408C2semidirect
9. C2×#16839802C2semidirect
10. #21454383C2semidirect
13. C2×C61×#544C2semidirect
28. #16840066C22semidirect
29. #16840066C22semidirect
30. #16840059C22semidirect
31. #16840059C22semidirect
32. #16840054C22semidirect
33. #16840049C22semidirect
34. #16840044C22semidirect
35. #16840039C22semidirect
36. #16839805C22semidirect
37. #16839805C22semidirect
39. #16839802C22semidirect
40. #16839802C22semidirect
41. #16839802C22semidirect
43. C2×#14519710C22semidirect
44. C2×#14519708C22semidirect
46. #16839789C22semidirect
47. #16839786C22semidirect
60. C61×#544C22semidirect
62. C2×C4⋊Q8×C61C22semidirect
64. C2×#125×C61C22semidirect
72. C2×#11758222Q8semidirect
198. #11758222C2×Q8semidirect
201. C2×D244C2×Q8semidirect
210. C2×Dic122C2×Q8semidirect
342. C2×#544D61semidirect
368. #544C2×D61semidirect
370. C2×C4⋊Q8C2×D61semidirect
372. C2×#125C2×D61semidirect
417. C61#60493semidirect

Maximal subgroups

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

subgroupindex
#214590202
#214556772
#214556662
#214556552
#214556442
#214556372
#214556282
#214544082
C2×#168398022
#214543832
#214543362
C2×#168397612
C2×C61×#5442
#6049361