Finite Group Databasebeta

← #29690661

Subgroups — #29690661

Order 15616.

930 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#14519739C211yesmaximal, characteristic
2#21446425C211yesmaximal, characteristic, complemented
3#21446423C211yesmaximal, characteristic, complemented
4#21446378C211yesmaximal, characteristic, complemented
5#21446110C211yesmaximal, characteristic
6#21446110C211yesmaximal, characteristic
7#21445998C211yesmaximal, characteristic, complemented
8#21445995C211yesmaximal, characteristic, complemented
9#21445961C211yesmaximal, characteristic, complemented
10#21445934C211yesmaximal, characteristic, complemented
11#21445886C211yesmaximal, characteristic, complemented
12#21445796C211yesmaximal, characteristic, complemented
13C4×#14519689C211yesmaximal, characteristic, complemented
14#336×D61C211yesmaximal, characteristic, complemented
15C61×#1916C211yesmaximal, characteristic, complemented
16C22×C8×D61C2211yescharacteristic
17C22×C8×D61C2211yescharacteristic
18C2×C4×D244C2211yescharacteristic
19C2×#14519739C411yescharacteristic
20C2×#14519739C411yescharacteristic
21C2×C42×D61C2211yescharacteristic
22C2×C42×D61C2211yescharacteristic
23C2×C4⋊#92418C2211yescharacteristic
24C2×#14519706C2211yescharacteristic
25C2×#14519706C2211yescharacteristic
26C2×#14519689C2211yescharacteristic
27C2×#14519689C2211yescharacteristic
28C2×#14519689C2211yescharacteristic
29C2×#14519689C2211yescharacteristic
30C2×#14519689C2211yescharacteristic
31C2×#14519689C2211yescharacteristic
32C2×C4×#92418C2211yescharacteristic
33C4⋊C4×Dic61C411yescharacteristic
34C4⋊C4×Dic61C411yescharacteristic
35C4×#11758198C2211yescharacteristic
36C4×#11758198C2211yescharacteristic
37#16839609C411yescharacteristic
38#16839609C411yescharacteristic
39#16839609C411yescharacteristic
40#16839609C411yescharacteristic
41C42×Dic61C2211yescharacteristic
42#16839517C2211yescharacteristic
43#16839517C2211yescharacteristic
44#16839517C2211yescharacteristic
45#16839517C2211yescharacteristic
46#16839516C2211yescharacteristic
47#16839516C2211yescharacteristic
48#16839516C2211yescharacteristic
49#16839516C2211yescharacteristic
50#16839516C2211yescharacteristic
51#16839516C2211yescharacteristic
52C2×C4⋊C8×C61C2211yescharacteristic
53C2×C4×C8×C61C2211yescharacteristic
54C4×C4⋊C4×C61C2211yescharacteristic
55C61×#336C2211yescharacteristic
56C61×#336C2211yescharacteristic
57C61×#336C2211yescharacteristic
58C61×#336C2211yescharacteristic
59C22×D244C2×C411yescharacteristic
60C22×C4×D61C2×C411yescharacteristic
61C22×C4×D61C2×C411yescharacteristic
62C22×C4×D61C2×C411yescharacteristic
63C22×C4×D61C2×C411yescharacteristic
64C22×C4×D61C2311yescharacteristic
65C22×C4×D61C2311yescharacteristic
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68C22×#92418C2311yescharacteristic
69C22×#92418C2311yescharacteristic
70C2×C8×D61—22no—
71C2×C8×D61—22no—
72C2×C8×D61—41no—
73C2×C8×D61—41no—
74C2×C8×D61—41no—
75C2×C8×D61—41no—
76C4×D244—22no—
77C4×D244—22no—
78#14519739—24no—
79#14519739C818yescomplemented
80C2×C4⋊Dic61C2×C411yescharacteristic
81C2×#11758198C2×C411yescharacteristic
82C2×#11758198C2×C411yescharacteristic
83C2×#11758198C2×C411yescharacteristic
84C2×#11758198C2×C411yescharacteristic
85C2×#11758198C2×C411yescharacteristic
86C2×#11758198C2×C411yescharacteristic
87C2×C4×Dic61C2×C411yescharacteristic
88C2×C4×Dic61C2×C411yescharacteristic
89C2×C4×Dic61C2×C411yescharacteristic
90C2×C4×Dic61C2×C411yescharacteristic
91C2×C4×Dic61C2×C411yescharacteristic
92C2×C4×Dic61C2×C411yescharacteristic
93C2×C4×Dic61C2×C411yescharacteristic
94C2×C4×Dic61C2×C411yescharacteristic
95C2×C4×Dic61C2311yescharacteristic
96C2×C4×Dic61C2311yescharacteristic
97C42×D61—41no—
98C42×D61—41no—
99C42×D61—41no—
100C42×D61—41no—
101C4⋊#92418—41no—
102#14519706—41no—
103#14519706—41no—
104#14519689—22no—
105#14519689—22no—
106#14519689—41no—
107#14519689—41no—
108#14519689—41no—
109#14519689—41no—
110C4×#92418—41no—
111#14519684C2×C411yescharacteristic
112#14519684C2×C411yescharacteristic
113#14519684C2×C411yescharacteristic
114#14519684C2×C411yescharacteristic
115C22×C8×C61C2311yescharacteristic
116C22×C8×C61C2311yescharacteristic
117C22×C8×C61C2311yescharacteristic
118C22×C8×C61C2311yescharacteristic
119C2×C4⋊C4×C61C2×C411yescharacteristic
120C2×C4⋊C4×C61C2×C411yescharacteristic
121C2×C42×C61C2311yescharacteristic
122C2×C42×C61C2311yescharacteristic
123C2×C42×C61C2311yescharacteristic
124C4⋊C8×C61—41no—
125C4×C8×C61—41no—
126#95×C61C2×C411yescharacteristic
127#95×C61C2×C411yescharacteristic
128C23×D61C22×C411yescharacteristic
129C23×D61C22×C411yescharacteristic
130C22×C4×C61C22×C411yescharacteristic
131C22×C4×C61C22×C411yescharacteristic
132C22×C4×C61C22×C411yescharacteristic
133C22×C4×C61C22×C411yescharacteristic
134C22×C4×C61C22×C411yescharacteristic
135C22×C4×C61C22×C411yescharacteristic
136C22×C4×C61C2411yescharacteristic
137C22×Dic61C22×C411yescharacteristic
138C22×Dic61C22×C411yescharacteristic
139C22×Dic61C22×C411yescharacteristic
140C22×Dic61C22×C411yescharacteristic
141C22×Dic61C22×C411yescharacteristic
142C22×Dic61C22×C411yescharacteristic
143C2×D244—22no—
144C2×D244—22no—
145C2×D244C2×C814yes—
146C2×C4×D61—21no—
147C2×C4×D61—21no—
148C2×C4×D61—21no—
149C2×C4×D61—21no—
150C2×C4×D61—21no—
151C2×C4×D61—21no—
152C2×C4×D61—21no—
153C2×C4×D61—21no—
154C2×C4×D61—21no—
155C2×C4×D61—21no—
156C2×C4×D61—22no—
157C2×C4×D61—41no—
158C2×C4×D61—41no—
159C2×C4×D61—41no—
160C2×C4×D61—41no—
161C2×C4×D61—41no—
162C2×C4×D61—41no—
163C2×C4×D61—41no—
164C2×C4×D61—41no—
165C2×C4×D61C2×C814yes—
166C2×C4×D61C2×C814yescomplemented
167C2×C4×D61M1614yes—
168C2×C4×D61#4112yes—
169C2×C4×D61#4112yes—
170C2×C8×C61—21no—
171C2×C8×C61—21no—
172C2×C8×C61—21no—
173C2×C8×C61—21no—
174C2×C8×C61—21no—
175C2×C8×C61—21no—
176C2×C8×C61—21no—
177C2×C8×C61—21no—
178C2×C8×C61—21no—
179C2×C8×C61—21no—
180C2×C8×C61—21no—
181C2×C8×C61—21no—
182C4⋊C4×C61—22no—
183C4⋊C4×C61C2×C814yescomplemented
184C42×C61—21no—
185C42×C61—21no—
186C42×C61—21no—
187C42×C61—21no—
188C42×C61—21no—
189C42×C61—21no—
190#11758198—22no—
191#11758198—22no—
192#11758198—22no—
193#11758198—22no—
194#11758198C2×C814yes—
195#11758198C2×C814yescomplemented
196C4⋊Dic61—22no—
197C4×Dic61—21no—
198C4×Dic61—21no—
199C4×Dic61—21no—
200C4×Dic61—21no—
201C4×Dic61—22no—
202C4×Dic61—41no—
203C4×Dic61—41no—
204C4×Dic61—41no—
205C4×Dic61—41no—
206C4×Dic61—41no—
207C4×Dic61—41no—
208C4×Dic61C2×C814yescomplemented
209C2×#92418—21no—
210C2×#92418—21no—
211C2×#92418—21no—
212C2×#92418—21no—
213C2×#92418—21no—
214C2×#92418—21no—
215C2×#92418—21no—
216C2×#92418—21no—
217C2×#92418—21no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C8×D61—44no—
222C8×D61—44no—
223C23×C61C23×C411yescharacteristic
224C22×D61—21no—
225C22×D61—21no—
226C22×D61—21no—
227C22×D61—21no—
228C22×D61—21no—
229C22×D61—21no—
230C22×D61—21no—
231C22×D61—21no—
232C22×D61—21no—
233C22×D61—21no—
234C22×D61#11712yes—
235C22×D61C22×C812yes—
236C22×D61C22×C812yes—
237C22×D61C2×M1612yes—
238C2×C4×C61—21no—
239C2×C4×C61—21no—
240C2×C4×C61—21no—
241C2×C4×C61—21no—
242C2×C4×C61—21no—
243C2×C4×C61—21no—
244C2×C4×C61—21no—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61C22×C812yes—
253C2×C4×C61C22×C812yes—
254C2×C4×C61C22×C812yes—
255C2×C4×C61C2×M1612yes—
256C2×C4×C61C2×#4111yescharacteristic
257C2×C4×C61C2×#4111yescharacteristic
258C2×C4×C61H(5,𝔽2)11yescharacteristic
259C2×C4×C61H(5,𝔽2)11yescharacteristic
260C2×C4×C61H(5,𝔽2)11yescharacteristic
261C2×C4×C612−1+411yescharacteristic
262C2×Dic61—21no—
263C2×Dic61—21no—
264C2×Dic61—21no—
265C2×Dic61—21no—
266C2×Dic61—21no—
267C2×Dic61—21no—
268C2×Dic61—21no—
269C2×Dic61—21no—
270C2×Dic61—21no—
271C2×Dic61—21no—
272C2×Dic61—21no—
273C2×Dic61—21no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61#11712yes—
277C2×Dic61C22×C812yes—
278C2×Dic61C22×C812yes—
279C2×Dic61C2×M1612yes—
280D244—28no—
281C4×D61—22no—
282C4×D61—22no—
283C4×D61—22no—
284C4×D61—22no—
285C4×D61—44no—
286C4×D61—44no—
287C4×D61—44no—
288C4×D61—44no—
289C4×D61—41no—
290C4×D61—41no—
291C4×D61—41no—
292C4×D61—41no—
293C8×C61—41no—
294C8×C61—41no—
295C8×C61—41no—
296C8×C61—41no—
297#92418—41no—
298#92418—41no—
299#92418—41no—
300#92418—41no—
301#21996—611nomaximal, Sylow
302C22×C61C2×#11711yescharacteristic
303C22×C61#51811yescharacteristic
304C22×C61#52011yescharacteristic
305C22×C61C23×C811yescharacteristic
306C22×C61C22×M1611yescharacteristic
307C22×C61#56811yescharacteristic
308C22×C61#56811yescharacteristic
309C2×D61—22no—
310C2×D61—22no—
311C2×D61—22no—
312C2×D61—22no—
313C2×D61—22no—
314C2×D61—22no—
315C2×D61—22no—
316C2×D61—22no—
317C2×D61—22no—
318C2×D61—41no—
319C2×D61—41no—
320C2×D61—41no—
321C2×D61—41no—
322C2×D61#43114yes—
323C4×C61—22no—
324C4×C61—22no—
325C4×C61—22no—
326C4×C61—22no—
327C4×C61—41no—
328C4×C61—41no—
329C4×C61#53811yescharacteristic
330C4×C61#53811yescharacteristic
331C4×C61#53911yescharacteristic
332C4×C61#53911yescharacteristic
333Dic61—22no—
334Dic61—22no—
335Dic61—22no—
336Dic61—22no—
337Dic61—41no—
338Dic61—41no—
339C42×D4—611no—
340#1923—611no—
341#1923—611no—
342#1916—611no—
343#1916D6111yescharacteristic, complemented
344#1869—611no—
345#1869—611no—
346#1850—611no—
347#1850—611no—
348#1839—611no—
349#1831—611no—
350#1817—611no—
351#1797—611no—
352C4×C22⋊C8—611no—
353C2×#336—611no—
354C2×C61#231811yescharacteristic
355C2×C61C2×#43111yescharacteristic
356C2×C61#292311yescharacteristic
357C2×C61#297211yescharacteristic
358C2×C61#297311yescharacteristic
359C2×C61#298811yescharacteristic
360C2×C61#298911yescharacteristic
361D61—24no—
362D61—42no—
363C23×C8—611no—
364C23×C8—611no—
365C2×C4×D4—611no—
366C2×C4×D4—611no—
367C2×C4×D4—611no—
368C22×C42—611no—
369C22×C42—611no—
370C2×C4⋊C8—611no—
371C2×C4⋊C8—611no—
372C2×C4⋊C8—611no—
373C2×C4⋊C8C2×D6111yescharacteristic
374C2×C22⋊C8—611no—
375C2×C22⋊C8—611no—
376C2×C22⋊C8—611no—
377C2×C22⋊C8—611no—
378C2×C22⋊C8—611no—
379C2×C22⋊C8—611no—
380C2×C4×C8—611no—
381C2×C4×C8C2×D6111yescharacteristic
382C4×C4⋊C4—611no—
383C4×C4⋊C4—611no—
384C4×C4⋊C4C2×D6111yescharacteristic
385C4×C22⋊C4—611no—
386C4×C22⋊C4—611no—
387C4×C22⋊C4—611no—
388C4×C22⋊C4—611no—
389C4×C22⋊C4—611no—
390C4×C22⋊C4—611no—
391C43—611no—
392#336—611no—
393#336—611no—
394#336—611no—
395#336—611no—
396#336—611no—
397#336—611no—
398#336—611no—
399#336—611no—
400#336—611no—
401#336—611no—
402#336C2×D6111yescharacteristic
403#336C2×D6111yescharacteristic
404#336C2×D6111yescharacteristic
405#336C2×D6111yescharacteristic
406C61#2199611yescharacteristic, complemented, Sylow
407C22×D4—611no—
408C23×C4—611no—
409C23×C4—611no—
410C23×C4—611no—
411C23×C4—611no—
412C23×C4—611no—
413C23×C4—611no—
414C22×C8—611no—
415C22×C8—611no—
416C22×C8—611no—
417C22×C8—611no—
418C22×C8—1222no—
419C22×C8—1222no—
420C22×C8—2441no—
421C22×C8—2441no—
422C22×C8—2441no—
423C22×C8—2441no—
424C22×C8C22×D6111yescharacteristic
425C22×C8C22×D6111yescharacteristic
426C22×C8C22×D6111yescharacteristic
427C22×C8C22×D6111yescharacteristic
428C4×D4—618no—
429C4×D4—1222no—
430C4×D4—1222no—
431C4×D4—1224no—
432C2×C4⋊C4—611no—
433C2×C4⋊C4C4×D6111yescharacteristic
434C2×C4⋊C4C4×D6111yescharacteristic
435C2×C22⋊C4—611no—
436C2×C22⋊C4—611no—
437C2×C22⋊C4—611no—
438C2×C22⋊C4—611no—
439C2×C22⋊C4—611no—
440C2×C22⋊C4—611no—
441C2×C42—611no—
442C2×C42—611no—
443C2×C42—611no—
444C2×C42—611no—
445C2×C42—611no—
446C2×C42—611no—
447C2×C42—611no—
448C2×C42—611no—
449C2×C42—611no—
450C2×C42—611no—
451C2×C42—2441no—
452C2×C42—2441no—
453C2×C42—2441no—
454C2×C42—2441no—
455C2×C42C22×D6111yescharacteristic
456C2×C42C22×D6111yescharacteristic
457C2×C42C22×D6111yescharacteristic
458C4⋊C8—41no—
459C4⋊C8—2441no—
460C4⋊C8—2441no—
461C4⋊C8—2441no—
462C22⋊C8—1222no—
463C22⋊C8—1222no—
464C22⋊C8—2441no—
465C22⋊C8—2441no—
466C22⋊C8—2441no—
467C22⋊C8—2441no—
468C4×C8—41no—
469C4×C8—2441no—
470#95—611no—
471#95—611no—
472#95—611no—
473#95—611no—
474#95C4×D6111yescharacteristic
475#95C4×D6111yescharacteristic
476C24—611no—
477C24—611no—
478C2×D4—614no—
479C2×D4—1222no—
480C2×D4—1222no—
481C22×C4—611no—
482C22×C4—611no—
483C22×C4—611no—
484C22×C4—611no—
485C22×C4—612no—
486C22×C4—612no—
487C22×C4—614no—
488C22×C4—614no—
489C22×C4—614no—
490C22×C4—611no—
491C22×C4—611no—
492C22×C4—1222no—
493C22×C4—1221no—
494C22×C4—1221no—
495C22×C4—1221no—
496C22×C4—1221no—
497C22×C4—1221no—
498C22×C4—1221no—
499C22×C4—1221no—
500C22×C4—1221no—
501C22×C4—1221no—
502C22×C4—1221no—
503C22×C4—2441no—
504C22×C4—2441no—
505C22×C4—2441no—
506C22×C4—2441no—
507C22×C4—2441no—
508C22×C4—2441no—
509C22×C4—2441no—
510C22×C4—2441no—
511C22×C4C2×C4×D6111yescharacteristic
512C22×C4C2×C4×D6111yescharacteristic
513C22×C4C2×C4×D6111yescharacteristic
514C22×C4C2×C4×D6111yescharacteristic
515C22×C4C2×C4×D6111yescharacteristic
516C22×C4C2×C4×D6111yescharacteristic
517C22×C4C23×D6111yescharacteristic
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—1221no—
531C2×C8—1221no—
532C2×C8—1221no—
533C2×C8—1221no—
534C2×C8—1221no—
535C2×C8—1221no—
536C2×C8—1221no—
537C2×C8—1221no—
538C2×C8—1221no—
539C2×C8—1221no—
540C2×C8—1221no—
541C2×C8—1221no—
542C2×C8—2444no—
543C2×C8—2444no—
544C4⋊C4—22no—
545C4⋊C4—1222no—
546C4⋊C4C8×D6114yescomplemented
547C22⋊C4—614no—
548C22⋊C4—614no—
549C22⋊C4—1222no—
550C22⋊C4—1222no—
551C22⋊C4—1222no—
552C22⋊C4—1222no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—21no—
558C42—21no—
559C42—614no—
560C42—1222no—
561C42—1221no—
562C42—1221no—
563C42—1221no—
564C42—1221no—
565C42—2441no—
566C42—2441no—
567C42—2441no—
568C42—2441no—
569C42—2441no—
570C42—2441no—
571C23—612no—
572C23—612no—
573C23—612no—
574C23—612no—
575C23—1221no—
576C23—1221no—
577C23—1221no—
578C23—1221no—
579C23—1221no—
580C23—1221no—
581C23—1221no—
582C23—1221no—
583C23—1221no—
584C23—1221no—
585C23C22×C4×D6111yescharacteristic
586D4—1228no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—612no—
602C2×C4—612no—
603C2×C4—612no—
604C2×C4—612no—
605C2×C4—1221no—
606C2×C4—1221no—
607C2×C4—1221no—
608C2×C4—1221no—
609C2×C4—1221no—
610C2×C4—1221no—
611C2×C4—1221no—
612C2×C4—1221no—
613C2×C4—1222no—
614C2×C4—1222no—
615C2×C4—1222no—
616C2×C4—1222no—
617C2×C4—1221no—
618C2×C4—1221no—
619C2×C4—1221no—
620C2×C4—1221no—
621C2×C4—1221no—
622C2×C4—1221no—
623C2×C4—2444no—
624C2×C4—2444no—
625C2×C4—2444no—
626C2×C4—2444no—
627C2×C4—2441no—
628C2×C4—2441no—
629C2×C4—2441no—
630C2×C4—2441no—
631C2×C4C2×C8×D6112yes—
632C2×C4C2×C8×D6112yes—
633C2×C4C2×C8×D6112yes—
634C2×C4M16×D6112yes—
635C2×C4#41×D6111yescharacteristic
636C2×C4#41×D6111yescharacteristic
637C2×C4#1451982211yescharacteristic
638C2×C4#1451982311yescharacteristic
639C2×C4#1451982311yescharacteristic
640C2×C4#1451982511yescharacteristic
641C8—41no—
642C8—41no—
643C8—41no—
644C8—41no—
645C8—2441no—
646C8—2441no—
647C8—2441no—
648C8—2441no—
649C22—614no—
650C22—1222no—
651C22—1222no—
652C22—1222no—
653C22—1222no—
654C22—1222no—
655C22—1222no—
656C22—1222no—
657C22—1222no—
658C22—1222no—
659C22—2441no—
660C22—2441no—
661C22—2441no—
662C22—2441no—
663C22#117×D6111yescharacteristic
664C22#1684023411yescharacteristic
665C22#1684024411yescharacteristic
666C22C22×C8×D6111yescharacteristic
667C22C2×M16×D6111yescharacteristic
668C22#1684052711yescharacteristic
669C22#1684052711yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—22no—
674C4—41no—
675C4—41no—
676C4—1222no—
677C4—1222no—
678C4—1222no—
679C4—1222no—
680C4—2441no—
681C4—2441no—
682C4#1684034811yescharacteristic
683C4#1684035111yescharacteristic
684C4#1684035811yescharacteristic
685C4#1684036011yescharacteristic
686C2—1224no—
687C2—2442no—
688C2#2144845111yescharacteristic
689C2#431×D6111yescharacteristic
690C2#2145446711yescharacteristic
691C2#2145484011yescharacteristic
692C2#2145484411yescharacteristic
693C2#2145492911yescharacteristic
694C2#2145493511yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D61
commutatorC22×C61C23×C8
FittingC61×#1916C2
socleC23×C61C23×C4
prime radicalC22×D244C2×C4
cosocleC22×C4×C61C24
hypercenter#1916D61
hypocenterC61#21996
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ #1916

Complements

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

NH ≅ G/Ntype
2. #21446425C2semidirect
3. #21446423C2semidirect
4. #21446378C2semidirect
7. #21445998C2semidirect
8. #21445995C2semidirect
9. #21445961C2semidirect
10. #21445934C2semidirect
11. #21445886C2semidirect
12. #21445796C2semidirect
13. C4×#14519689C2semidirect
14. #336×D61C2semidirect
15. C61×#1916C2semidirect
79. #14519739C8semidirect
166. C2×C4×D61C2×C8semidirect
183. C4⋊C4×C61C2×C8semidirect
195. #11758198C2×C8semidirect
208. C4×Dic61C2×C8semidirect
343. #1916D61semidirect
406. C61#21996semidirect
546. C4⋊C4C8×D61semidirect

Maximal subgroups

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

subgroupindex
C4×#145197392
#214464252
#214464232
#214463782
#214461102
#214459982
#214459952
#214459612
#214459342
#214458862
#214457962
C4×#145196892
#336×D612
C61×#19162
#2199661