Finite Group Databasebeta

← #29699507

Subgroups — #29699507

Order 15616.

900 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×#14519737C211yesmaximal, characteristic
2#21446427C211yesmaximal, characteristic, complemented
3#21446386C211yesmaximal, characteristic, complemented
4#21446380C211yesmaximal, characteristic, complemented
5#21446113C211yesmaximal, characteristic
6#21446113C211yesmaximal, characteristic
7#21445961C211yesmaximal, characteristic, complemented
8#21445885C211yesmaximal, characteristic, complemented
9#21445796C211yesmaximal, characteristic, complemented
10#21445602C211yesmaximal, characteristic, complemented
11#21445599C211yesmaximal, characteristic, complemented
12#21445583C211yesmaximal, characteristic, complemented
13#21445564C211yesmaximal, characteristic, complemented
14#21445511C211yesmaximal, characteristic, complemented
15C61×#1923C211yesmaximal, characteristic, complemented
16C22×#11758189C2211yescharacteristic
17C22×#11758189C2211yescharacteristic
18C2×C4×C22⋊D61C2211yescharacteristic
19C2×#14519737C411yescharacteristic
20C2×#14519737C411yescharacteristic
21C22×C4×Dic61C2211yescharacteristic
22C2×C42×D61C2211yescharacteristic
23C2×C4⋊#92418C2211yescharacteristic
24C2×C22⋊#92418C2211yescharacteristic
25C2×C22⋊#92418C2211yescharacteristic
26C2×#14519689C2211yescharacteristic
27C2×#14519689C2211yescharacteristic
28C2×#14519687C2211yescharacteristic
29C2×#14519687C2211yescharacteristic
30C2×C4×#92418C2211yescharacteristic
31C4×#11758196C2211yescharacteristic
32#16839613C411yescharacteristic
33#16839613C411yescharacteristic
34C22⋊C4×Dic61C411yescharacteristic
35C22⋊C4×Dic61C411yescharacteristic
36C4×#11758198C2211yescharacteristic
37#16839609C411yescharacteristic
38#16839609C411yescharacteristic
39C42×Dic61C2211yescharacteristic
40#16839517C2211yescharacteristic
41#16839517C2211yescharacteristic
42#16839516C2211yescharacteristic
43#16839516C2211yescharacteristic
44#16839516C2211yescharacteristic
45#16839516C2211yescharacteristic
46#16839516C2211yescharacteristic
47#16839516C2211yescharacteristic
48#16839516C2211yescharacteristic
49#16839516C2211yescharacteristic
50#16839516C2211yescharacteristic
51#16839516C2211yescharacteristic
52C2×C4⋊C8×C61C2211yescharacteristic
53C2×C22⋊C8×C61C2211yescharacteristic
54C2×C22⋊C8×C61C2211yescharacteristic
55C2×C4×C8×C61C2211yescharacteristic
56C4×C22⋊C4×C61C2211yescharacteristic
57C61×#336C2211yescharacteristic
58C61×#336C2211yescharacteristic
59C22×C22⋊D61C2×C411yescharacteristic
60C23×Dic61C2×C411yescharacteristic
61C23×Dic61C2×C411yescharacteristic
62C22×C4×D61C2×C411yescharacteristic
63C22×C4×D61C2×C411yescharacteristic
64C22×C4×D61C2311yescharacteristic
65C2×#11758189—22no—
66C2×#11758189—22no—
67C2×#11758189—22no—
68C2×#11758189—22no—
69C2×#11758189—41no—
70C2×#11758189—41no—
71C22×#92418C2311yescharacteristic
72C22×#92418C2311yescharacteristic
73C22×#92418C2311yescharacteristic
74C22×#92418C2311yescharacteristic
75C4×C22⋊D61—22no—
76C4×C22⋊D61—22no—
77#14519737—24no—
78#14519737—24no—
79C2×#11758196C2×C411yescharacteristic
80C2×#11758196C2×C411yescharacteristic
81C2×#11758196C2×C411yescharacteristic
82C2×C22⋊Dic61C2×C411yescharacteristic
83C2×#11758198C2×C411yescharacteristic
84C2×#11758198C2×C411yescharacteristic
85C2×#11758198C2×C411yescharacteristic
86C2×C4×Dic61—41no—
87C2×C4×Dic61—41no—
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×Dic61C2×C411yescharacteristic
96C2×C4×Dic61C2311yescharacteristic
97C2×C4×Dic61C2311yescharacteristic
98C2×C4×Dic61C2311yescharacteristic
99C42×D61—41no—
100C42×D61—41no—
101C4⋊#92418—41no—
102C22⋊#92418—22no—
103C22⋊#92418—41no—
104#14519689—22no—
105#14519689—22no—
106#14519687—41no—
107#14519687—41no—
108C4×#92418—22no—
109#14519684C2×C411yescharacteristic
110#14519684C2×C411yescharacteristic
111#14519684C2×C411yescharacteristic
112#14519684C2×C411yescharacteristic
113C23×C4×C61C2311yescharacteristic
114C22×C8×C61C2311yescharacteristic
115C22×C8×C61C2311yescharacteristic
116C22×C8×C61C2311yescharacteristic
117C22×C8×C61C2311yescharacteristic
118C2×C22⋊C4×C61C2×C411yescharacteristic
119C2×C22⋊C4×C61C2×C411yescharacteristic
120C2×C42×C61C2311yescharacteristic
121C2×C42×C61C2311yescharacteristic
122C4⋊C8×C61—41no—
123C22⋊C8×C61—22no—
124C22⋊C8×C61—41no—
125C4×C8×C61—22no—
126#95×C61C2×C411yescharacteristic
127#95×C61C2×C411yescharacteristic
128C24×C61C22×C411yescharacteristic
129C23×D61C22×C411yescharacteristic
130C22×C4×C61—21no—
131C22×C4×C61—21no—
132C22×C4×C61—21no—
133C22×C4×C61—21no—
134C22×C4×C61—21no—
135C22×C4×C61—21no—
136C22×C4×C61C22×C411yescharacteristic
137C22×C4×C61C22×C411yescharacteristic
138C22×C4×C61C22×C411yescharacteristic
139C22×C4×C61C22×C411yescharacteristic
140C22×C4×C61C22×C411yescharacteristic
141C22×C4×C61C2411yescharacteristic
142C2×C22⋊D61—22no—
143C2×C22⋊D61—22no—
144C2×C22⋊D61—22no—
145C22×Dic61—22no—
146C22×Dic61—22no—
147C22×Dic61—22no—
148C22×Dic61—41no—
149C22×Dic61—41no—
150C22×Dic61—41no—
151C22×Dic61C22×C411yescharacteristic
152C22×Dic61C22×C411yescharacteristic
153C22×Dic61C22×C411yescharacteristic
154C22×Dic61C22×C411yescharacteristic
155C22×Dic61C22×C411yescharacteristic
156C22×Dic61C22×C411yescharacteristic
157C22×Dic61C22×C411yescharacteristic
158C2×C4×D61—21no—
159C2×C4×D61—21no—
160C2×C4×D61—21no—
161C2×C4×D61—21no—
162C2×C4×D61—22no—
163C2×C4×D61—22no—
164C2×C4×D61—22no—
165C2×C4×D61—41no—
166C2×C4×D61—41no—
167C2×C4×D61—41no—
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#4112yes—
182C22⋊C4×C61—22no—
183C22⋊C4×C61M1614yescomplemented
184C42×C61—21no—
185C42×C61—21no—
186C42×C61—21no—
187C42×C61—21no—
188C22⋊Dic61—22no—
189#11758198—22no—
190#11758198—22no—
191#11758198—22no—
192#11758196—22no—
193#11758196—22no—
194#11758196—22no—
195C4×Dic61—22no—
196C4×Dic61—21no—
197C4×Dic61—21no—
198C4×Dic61—21no—
199C4×Dic61—21no—
200C4×Dic61—21no—
201C4×Dic61—21no—
202C4×Dic61—22no—
203C4×Dic61—41no—
204C4×Dic61—41no—
205C4×Dic61—41no—
206C4×Dic61—41no—
207C4×Dic61—41no—
208C4×Dic61M1614yescomplemented
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#4112yes—
221#11758189—44no—
222#11758189—44no—
223C23×C61—21no—
224C23×C61—21no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61C2×M1612yes—
230C23×C61C23×C411yescharacteristic
231C22×D61—21no—
232C22×D61—21no—
233C22×D61—21no—
234C22×D61—21no—
235C22×D61—21no—
236C22×D61—21no—
237C22×D61#11712yes—
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—41no—
251C2×C4×C61—41no—
252C2×C4×C61—41no—
253C2×C4×C61—41no—
254C2×C4×C61C2×M1612yes—
255C2×C4×C61C2×M1612yes—
256C2×C4×C61C2×M1612yes—
257C2×C4×C61C2×#4111yescharacteristic
258C2×C4×C61C2×#4111yescharacteristic
259C2×C4×C61C2×#4111yescharacteristic
260C2×C4×C61C2×#4111yescharacteristic
261C2×C4×C61H(5,𝔽2)11yescharacteristic
262C2×C4×C61H(5,𝔽2)11yescharacteristic
263C22⋊D61—28no—
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—21no—
277C2×Dic61—21no—
278C2×Dic61—21no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—44no—
282C2×Dic61—44no—
283C2×Dic61#11712yes—
284C2×Dic61C2×M1612yes—
285C2×Dic61C2×M1612yes—
286C2×Dic61#13112yes—
287C4×D61—22no—
288C4×D61—22no—
289C4×D61—22no—
290C4×D61—22no—
291C4×D61—44no—
292C4×D61—44no—
293C8×C61—22no—
294C8×C61—41no—
295C8×C61—41no—
296C8×C61—41no—
297#92418—22no—
298#92418—41no—
299#92418—41no—
300#92418—41no—
301#22786—611nomaximal, Sylow
302C22×C61—22no—
303C22×C61—22no—
304C22×C61—22no—
305C22×C61—41no—
306C22×C61—41no—
307C22×C61—41no—
308C22×C61—41no—
309C22×C61C2×#11711yescharacteristic
310C22×C61C4×#4111yescharacteristic
311C22×C61#51811yescharacteristic
312C22×C61C22×M1611yescharacteristic
313C22×C61C22×M1611yescharacteristic
314C22×C61C2×#13111yescharacteristic
315C22×C61#56811yescharacteristic
316C2×D61—22no—
317C2×D61—22no—
318C2×D61—22no—
319C2×D61—41no—
320C2×D61—41no—
321C2×D61—41no—
322C2×D61—41no—
323C4×C61—22no—
324C4×C61—22no—
325C4×C61—22no—
326C4×C61—41no—
327C4×C61—41no—
328C4×C61#55111yescharacteristic
329C4×C61#55111yescharacteristic
330C4×C61#55311yescharacteristic
331C4×C61#55311yescharacteristic
332Dic61—22no—
333Dic61—22no—
334Dic61—22no—
335Dic61—22no—
336Dic61—41no—
337Dic61—41no—
338Dic61—41no—
339C42×D4—611no—
340#1923—611no—
341#1923D6111yescharacteristic, complemented
342#1917—611no—
343#1917—611no—
344#1870—611no—
345#1870—611no—
346#1839—611no—
347#1817—611no—
348#1797—611no—
349#1753—611no—
350#1753—611no—
351#1749—611no—
352#1744—611no—
353#1728—611no—
354C2×C61—42no—
355C2×C61#235311yescharacteristic
356C2×C61#292011yescharacteristic
357C2×C61#292511yescharacteristic
358C2×C61#296511yescharacteristic
359C2×C61#297011yescharacteristic
360C2×C61#297411yescharacteristic
361C2×C61#297511yescharacteristic
362D61—42no—
363C22×M16—611no—
364C22×M16—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⋊C8C2×D6111yescharacteristic
372C2×C22⋊C8—611no—
373C2×C22⋊C8—611no—
374C2×C22⋊C8—611no—
375C2×C22⋊C8—611no—
376C2×C22⋊C8C2×D6111yescharacteristic
377C2×C22⋊C8C2×D6111yescharacteristic
378C2×#97—611no—
379C2×#97—611no—
380C2×C4×C8—611no—
381C2×C4×C8C2×D6111yescharacteristic
382C4×C4⋊C4—611no—
383C4×C4⋊C4—611no—
384C4×C4⋊C4—611no—
385C4×C22⋊C4—611no—
386C4×C22⋊C4—611no—
387C4×C22⋊C4—611no—
388C4×C22⋊C4—611no—
389C4×C22⋊C4—611no—
390C4×C22⋊C4C2×D6111yescharacteristic
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#336—611no—
403#336—611no—
404#336C2×D6111yescharacteristic
405#336C2×D6111yescharacteristic
406C61#2278611yescharacteristic, complemented, Sylow
407C22×D4—611no—
408C23×C4—611no—
409C23×C4—611no—
410C23×C4—611no—
411C23×C4—611no—
412C23×C4—611no—
413C23×C4C22×D6111yescharacteristic
414C2×M16—1222no—
415C2×M16—1222no—
416C2×M16—1222no—
417C2×M16—1222no—
418C2×M16—2441no—
419C2×M16—2441no—
420C22×C8—611no—
421C22×C8—611no—
422C22×C8—611no—
423C22×C8—611no—
424C22×C8C22×D6111yescharacteristic
425C22×C8C22×D6111yescharacteristic
426C22×C8C22×D6111yescharacteristic
427C22×C8C22×D6111yescharacteristic
428C4×D4—1224no—
429C4×D4—1222no—
430C4×D4—1222no—
431C4×D4—1224no—
432C2×C4⋊C4—611no—
433C2×C4⋊C4—611no—
434C2×C4⋊C4—611no—
435C2×C22⋊C4—611no—
436C2×C22⋊C4—611no—
437C2×C22⋊C4—611no—
438C2×C22⋊C4—611no—
439C2×C22⋊C4C4×D6111yescharacteristic
440C2×C22⋊C4C4×D6111yescharacteristic
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—611no—
452C2×C42—2441no—
453C2×C42—2441no—
454C2×C42—2441no—
455C2×C42—2441no—
456C2×C42C22×D6111yescharacteristic
457C2×C42C22×D6111yescharacteristic
458C4⋊C8—41no—
459C4⋊C8—2441no—
460C22⋊C8—22no—
461C22⋊C8—41no—
462C22⋊C8—1222no—
463C22⋊C8—1222no—
464C22⋊C8—1222no—
465C22⋊C8—2441no—
466#97—2441no—
467#97—2441no—
468C4×C8—22no—
469C4×C8—1222no—
470#95—611no—
471#95—611no—
472#95—611no—
473#95—611no—
474#95C4×D6111yescharacteristic
475#95C4×D6111yescharacteristic
476C24—611no—
477C24C2×C4×D6111yescharacteristic
478C2×D4—1222no—
479C2×D4—1222no—
480C2×D4—1222no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—611no—
488C22×C4—611no—
489C22×C4—611no—
490C22×C4—611no—
491C22×C4—612no—
492C22×C4—612no—
493C22×C4—611no—
494C22×C4—611no—
495C22×C4—611no—
496C22×C4—1222no—
497C22×C4—1222no—
498C22×C4—1222no—
499C22×C4—1222no—
500C22×C4—1221no—
501C22×C4—1221no—
502C22×C4—1221no—
503C22×C4—1221no—
504C22×C4—1222no—
505C22×C4—1222no—
506C22×C4—2441no—
507C22×C4—2441no—
508C22×C4—2441no—
509C22×C4—2441no—
510C22×C4—2441no—
511C22×C4—2441no—
512C22×C4C2×C4×D6111yescharacteristic
513C22×C4C2×C4×D6111yescharacteristic
514C22×C4C2×C4×D6111yescharacteristic
515C22×C4C2×C4×D6111yescharacteristic
516C22×C4C2×C4×D6111yescharacteristic
517C22×C4C23×D6111yescharacteristic
518M16—2444no—
519M16—2444no—
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—21no—
531C2×C8—612no—
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—1221no—
543C2×C8#1175822412yes—
544C4⋊C4—1222no—
545C4⋊C4—1222no—
546C4⋊C4—1222no—
547C22⋊C4—22no—
548C22⋊C4—1222no—
549C22⋊C4—1222no—
550C22⋊C4—1222no—
551C22⋊C4—1222no—
552C22⋊C4#1175818914yescomplemented
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—614no—
558C42—1222no—
559C42—1221no—
560C42—1221no—
561C42—1221no—
562C42—1221no—
563C42—1221no—
564C42—1221no—
565C42—1222no—
566C42—2441no—
567C42—2441no—
568C42—2441no—
569C42—2441no—
570C42—2441no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—612no—
578C23—1221no—
579C23—1221no—
580C23—1221no—
581C23—1221no—
582C23—1221no—
583C23—1221no—
584C23C2×#1175818912yes—
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—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—612no—
604C2×C4—612no—
605C2×C4—612no—
606C2×C4—612no—
607C2×C4—1221no—
608C2×C4—1221no—
609C2×C4—1221no—
610C2×C4—1221no—
611C2×C4—1221no—
612C2×C4—1221no—
613C2×C4—1221no—
614C2×C4—1221no—
615C2×C4—1222no—
616C2×C4—1222no—
617C2×C4—1222no—
618C2×C4—1222no—
619C2×C4—1221no—
620C2×C4—1221no—
621C2×C4—1221no—
622C2×C4—1221no—
623C2×C4—1221no—
624C2×C4—1221no—
625C2×C4—1221no—
626C2×C4—1221no—
627C2×C4—1221no—
628C2×C4—2444no—
629C2×C4—2444no—
630C2×C4—2444no—
631C2×C4—2444no—
632C2×C4M16×D6112yes—
633C2×C4C2×#1175818912yes—
634C2×C4C2×#1175818912yes—
635C2×C4#41×D6111yescharacteristic
636C2×C4#41×D6111yescharacteristic
637C2×C4#41×D6111yescharacteristic
638C2×C4C2×#1175822411yescharacteristic
639C2×C4#1451982211yescharacteristic
640C2×C4#1451982311yescharacteristic
641C8—22no—
642C8—41no—
643C8—41no—
644C8—41no—
645C8—1222no—
646C8—2441no—
647C8—2441no—
648C8—2441no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—1222no—
657C22—1222no—
658C22—1222no—
659C22—2441no—
660C22—2441no—
661C22—2441no—
662C22—2441no—
663C22#117×D6111yescharacteristic
664C22C4×#1175822411yescharacteristic
665C22#1684023411yescharacteristic
666C22C2×M16×D6111yescharacteristic
667C22C22×#1175818911yescharacteristic
668C22#131×D6111yescharacteristic
669C22#1684052711yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—41no—
674C4—41no—
675C4—1222no—
676C4—1222no—
677C4—1222no—
678C4—1222no—
679C4—2441no—
680C4—2441no—
681C4—2441no—
682C4#1684043511yescharacteristic
683C4#1684044211yescharacteristic
684C4#1684045911yescharacteristic
685C4#1684046311yescharacteristic
686C2—42no—
687C2—2442no—
688C2#2144875411yescharacteristic
689C2#2145444711yescharacteristic
690C2#2145448211yescharacteristic
691C2#2145477911yescharacteristic
692C2#2145482711yescharacteristic
693C2#2145485211yescharacteristic
694C2#2145485711yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D61
commutator, socleC23×C61C23×C4
FittingC61×#1923C2
prime radicalC22×C22⋊D61C2×C4
cosocleC22×C4×C61C24
hypercenter#1923D61
hypocenterC61#22786
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ #1923

Complements

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

NH ≅ G/Ntype
2. #21446427C2semidirect
3. #21446386C2semidirect
4. #21446380C2semidirect
7. #21445961C2semidirect
8. #21445885C2semidirect
9. #21445796C2semidirect
10. #21445602C2semidirect
11. #21445599C2semidirect
12. #21445583C2semidirect
13. #21445564C2semidirect
14. #21445511C2semidirect
15. C61×#1923C2semidirect
183. C22⋊C4×C61M16semidirect
208. C4×Dic61M16semidirect
341. #1923D61semidirect
406. C61#22786semidirect
552. C22⋊C4#11758189semidirect

Maximal subgroups

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

subgroupindex
C4×#145197372
#214464272
#214463862
#214463802
#214461132
#214459612
#214458852
#214457962
#214456022
#214455992
#214455832
#214455642
#214455112
C61×#19232
#2278661