Finite Group Databasebeta

← #29709567

Subgroups — #29709567

Order 15616.

1042 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839817C211yesmaximal, characteristic, complemented
2C4×#14519748C211yesmaximal, characteristic, complemented
3C4×#14519748C211yesmaximal, characteristic, complemented
4#21447318C211yesmaximal, characteristic, complemented
5#21447253C211yesmaximal, characteristic, complemented
6#21447205C211yesmaximal, characteristic, complemented
7#21447191C211yesmaximal, characteristic, complemented
8#21447127C211yesmaximal, characteristic, complemented
9#21447007C211yesmaximal, characteristic, complemented
10#21447000C211yesmaximal, characteristic, complemented
11#21446814C211yesmaximal, characteristic
12#21445716C211yesmaximal, characteristic, complemented
13#21445644C211yesmaximal, characteristic, complemented
14#21445644C211yesmaximal, characteristic, complemented
15C2×C61×#442C211yesmaximal, characteristic, complemented
16C2×#14519748C2211yescharacteristic
17C2×#14519748C2211yescharacteristic
18C2×C4×C22⋊D61—21no—
19C2×C4×C22⋊D61—21no—
20C2×C42×D61C2211yescharacteristic
21#16839817—24no—
22C2×#14519711C2211yescharacteristic
23C2×#14519709C2211yescharacteristic
24C2×#14519706C2211yescharacteristic
25C2×#14519706C2211yescharacteristic
26C2×#14519698C2211yescharacteristic
27C2×#14519698C2211yescharacteristic
28C2×#14519698C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×#14519689C2211yescharacteristic
31C2×#14519689C2211yescharacteristic
32C2×#14519688C2211yescharacteristic
33#16839665C2211yescharacteristic
34#16839665C2211yescharacteristic
35#16839658C2211yescharacteristic
36#16839658C2211yescharacteristic
37#16839650—21no—
38#16839650—21no—
39#16839638—21no—
40#16839638—21no—
41#16839619C2211yescharacteristic
42#16839619C2211yescharacteristic
43C4×C4⋊Dic61C2211yescharacteristic
44C4×C4⋊Dic61C2211yescharacteristic
45C4×C22⋊Dic61—21no—
46C4×C22⋊Dic61—21no—
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839524C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839524C2211yescharacteristic
53C22×D8×C61C2211yescharacteristic
54C2×C4×D4×C61C2211yescharacteristic
55C2×C4×D4×C61C2211yescharacteristic
56C61×#442—24no—
57C2×#106×C61C2211yescharacteristic
58C2×#102×C61C2211yescharacteristic
59C2×#102×C61C2211yescharacteristic
60C2×#97×C61C2211yescharacteristic
61C22×C22⋊D61—21no—
62C22×C22⋊D61—21no—
63C22×C4×D61D411yescharacteristic
64C22×C4×D61D411yescharacteristic
65C22×C4×D61C2311yescharacteristic
66C22×#92418C2311yescharacteristic
67C22×#92418C2311yescharacteristic
68#14519748—22no—
69#14519748—22no—
70#14519748—22no—
71#14519748—22no—
72C4×C22⋊D61—44no—
73C4×C22⋊D61—44no—
74C2×C4⋊Dic61C2311yescharacteristic
75C2×C4⋊Dic61C2311yescharacteristic
76C2×C4⋊Dic61C2311yescharacteristic
77C2×C4⋊Dic61C2311yescharacteristic
78C2×#11758196—21no—
79C2×#11758196—21no—
80C2×C22⋊Dic61—21no—
81C2×C22⋊Dic61—21no—
82C2×C22⋊Dic61—21no—
83C2×C22⋊Dic61—21no—
84C2×C22⋊Dic61—21no—
85C2×C22⋊Dic61—21no—
86C2×#11758198—21no—
87C2×#11758198—21no—
88C2×C4×Dic61—21no—
89C2×C4×Dic61—21no—
90C2×C4×Dic61D411yescharacteristic
91C2×C4×Dic61D411yescharacteristic
92C2×C4×Dic61C2311yescharacteristic
93C42×D61—22no—
94C42×D61—22no—
95#14519711—22no—
96#14519709—22no—
97#14519706—22no—
98#14519706—22no—
99#14519698—22no—
100#14519698—22no—
101#14519698—22no—
102#14519698—22no—
103#14519689—22no—
104#14519689—22no—
105#14519688—22no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684—21no—
110#14519684—21no—
111#14519684—21no—
112C22×D4×C61C2311yescharacteristic
113C22×D4×C61C2311yescharacteristic
114C23×C4×C61—21no—
115C23×C4×C61—21no—
116C2×D8×C61—22no—
117C2×D8×C61—22no—
118C2×D8×C61—22no—
119C22×C8×C61C2311yescharacteristic
120C22×C8×C61C2311yescharacteristic
121C4×D4×C61—22no—
122C4×D4×C61—22no—
123C4×D4×C61—22no—
124C4×D4×C61—22no—
125C2×C4⋊C4×C61C2311yescharacteristic
126C2×C4⋊C4×C61C2311yescharacteristic
127C2×C22⋊C4×C61—21no—
128C2×C22⋊C4×C61—21no—
129C2×C42×C61C2311yescharacteristic
130#106×C61—22no—
131#102×C61—22no—
132#102×C61—22no—
133#97×C61D414yescomplemented
134C24×C61—21no—
135C24×C61—21no—
136C23×D61C2×D411yescharacteristic
137C2×D4×C61—21no—
138C2×D4×C61—21no—
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61#4112yes—
148C2×D4×C61#4112yes—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—42no—
152C22×C4×C61—42no—
153C22×C4×C61—42no—
154C22×C4×C61—42no—
155C22×C4×C61—42no—
156C22×C4×C61—42no—
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2411yescharacteristic
160C2×C22⋊D61—24no—
161C2×C22⋊D61—24no—
162C2×C22⋊D61—42no—
163C2×C22⋊D61—42no—
164C2×C22⋊D61—42no—
165C2×C22⋊D61—42no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61—21no—
170C22×Dic61C2×D411yescharacteristic
171C22×Dic61C2×D411yescharacteristic
172C22×Dic61C2×D411yescharacteristic
173C2×C4×D61—22no—
174C2×C4×D61—22no—
175C2×C4×D61—22no—
176C2×C4×D61—21no—
177C2×C4×D61—21no—
178C2×C4×D61—21no—
179C2×C4×D61—21no—
180C2×C4×D61—21no—
181C2×C4×D61—21no—
182C2×C4×D61—22no—
183C2×C4×D61—41no—
184C2×C4×D61—41no—
185D8×C61—28no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61C2×D412yes—
191C2×C8×C61C2×D412yes—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C22⋊C4×C61—42no—
197C22⋊C4×C61—42no—
198C42×C61C2×D412yes—
199C42×C61#4112yes—
200C22⋊Dic61—24no—
201C22⋊Dic61—24no—
202C22⋊Dic61—42no—
203C22⋊Dic61—42no—
204C22⋊Dic61—42no—
205C22⋊Dic61—42no—
206#11758198—42no—
207#11758198—42no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61#4112yes—
215C4⋊Dic61#4112yes—
216#11758196—42no—
217#11758196—42no—
218C4×Dic61—22no—
219C4×Dic61—22no—
220C4×Dic61—21no—
221C4×Dic61—21no—
222C4×Dic61—42no—
223C4×Dic61—42no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418—21no—
229C2×#92418—21no—
230C23×C61—22no—
231C23×C61—22no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—41no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61C22×D411yescharacteristic
245C22×D61—21no—
246C22×D61—21no—
247C22×D61—21no—
248C22×D61—21no—
249C22×D61—21no—
250C22×D61—21no—
251C22×D61AGL(1,ℤ/8)12yes—
252D4×C61—22no—
253D4×C61—22no—
254D4×C61—22no—
255D4×C61—22no—
256D4×C61—41no—
257D4×C61—41no—
258D4×C61—41no—
259D4×C61—41no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—84no—
271C2×C4×C61—84no—
272C2×C4×C61#12112yes—
273C2×C4×C61#12112yes—
274C2×C4×C61C22×D411yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×C4×C61C2×#4111yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C2×C4×C61C2×#4111yescharacteristic
280C22⋊D61—48no—
281C22⋊D61—48no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—21no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—41no—
302C2×Dic61AGL(1,ℤ/8)12yes—
303C4×D61—44no—
304C4×D61—44no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—41no—
308C4×D61—41no—
309C8×C61—22no—
310C8×C61—22no—
311#92418—41no—
312#92418—41no—
313#23708—611nomaximal, Sylow
314C22×C61—42no—
315C22×C61—42no—
316C22×C61—42no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—81no—
321C22×C61—81no—
322C22×C61—81no—
323C22×C61—81no—
324C22×C61—81no—
325C22×C61—81no—
326C22×C61—81no—
327C22×C61—81no—
328C22×C61C2×#12111yescharacteristic
329C22×C61#52511yescharacteristic
330C22×C61#52511yescharacteristic
331C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
332C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
333C22×C61#57511yescharacteristic
334C22×C61#57511yescharacteristic
335C2×D61—22no—
336C2×D61—22no—
337C2×D61—22no—
338C2×D61—41no—
339C2×D61—41no—
340C2×D61—41no—
341C2×D61—41no—
342C4×C61—22no—
343C4×C61—22no—
344C4×C61—81no—
345C4×C61—81no—
346C4×C61#52511yescharacteristic
347C4×C61#52911yescharacteristic
348C4×C61#52911yescharacteristic
349C4×C61#53211yescharacteristic
350Dic61—22no—
351Dic61—42no—
352Dic61—42no—
353Dic61—41no—
354Dic61—41no—
355Dic61—81no—
356Dic61—81no—
357C2×#442D6111yescharacteristic, complemented
358C2×#432—611no—
359C4×#121—611no—
360C4×#121—611no—
361#2088—611no—
362#2077—611no—
363#2067—611no—
364#2065—611no—
365#2054—611no—
366#2034—611no—
367#2033—611no—
368#1999—611no—
369#1776—611no—
370#1762—611no—
371#1762—611no—
372C2×C61—82no—
373C2×C61—82no—
374C2×C61#239211yescharacteristic
375C2×C61#305511yescharacteristic
376C2×C61#305511yescharacteristic
377C2×C61#310911yescharacteristic
378C2×C61#311111yescharacteristic
379C2×C61#311411yescharacteristic
380C2×C61#311511yescharacteristic
381D61—42no—
382C22×D8C2×D6111yescharacteristic
383C2×#121—611no—
384C2×#121—611no—
385C2×C4×D4—1221no—
386C2×C4×D4—1221no—
387C2×C4×D4C2×D6111yescharacteristic
388C2×C4×D4C2×D6111yescharacteristic
389C22×C42—611no—
390#442—24no—
391#432—1224no—
392C2×#107—611no—
393C2×#106—611no—
394C2×#106C2×D6111yescharacteristic
395C2×C4⋊C8—611no—
396C2×C4⋊C8—611no—
397C2×#102—611no—
398C2×#102—611no—
399C2×#102—611no—
400C2×#102—611no—
401C2×#102C2×D6111yescharacteristic
402C2×#102C2×D6111yescharacteristic
403C2×C22⋊C8—611no—
404C2×C22⋊C8—611no—
405C2×#97—611no—
406C2×#97C2×D6111yescharacteristic
407#390—611no—
408#390—611no—
409#389—611no—
410#389—611no—
411#388—1221no—
412#388—1221no—
413#386—1221no—
414#386—1221no—
415#380—611no—
416#380—611no—
417C4×C4⋊C4—611no—
418C4×C4⋊C4—611no—
419C4×C22⋊C4—1221no—
420C4×C22⋊C4—1221no—
421#340—611no—
422#340—611no—
423#340—611no—
424#340—611no—
425#340—611no—
426#340—611no—
427C61#2370811yescharacteristic, complemented, Sylow
428C22×D4—1221no—
429C22×D4—1221no—
430C22×D4C22×D6111yescharacteristic
431C22×D4C22×D6111yescharacteristic
432C23×C4—21no—
433C23×C4—21no—
434C23×C4—611no—
435C23×C4—611no—
436C23×C4—611no—
437C2×D8—22no—
438C2×D8—22no—
439C2×D8—22no—
440C22×C8—611no—
441C22×C8—611no—
442C22×C8C22×D6111yescharacteristic
443C22×C8C22×D6111yescharacteristic
444#121—1222no—
445#121—1222no—
446#121—1222no—
447#121—1222no—
448C4×D4—22no—
449C4×D4—22no—
450C4×D4—22no—
451C4×D4—22no—
452C4×D4—2444no—
453C4×D4—2444no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4C22×D6111yescharacteristic
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C42—611no—
473C2×C42—611no—
474C2×C42—611no—
475C2×C42—1222no—
476C2×C42—1222no—
477C2×C42—1221no—
478C2×C42—1221no—
479C2×C42C22×D6111yescharacteristic
480#107—1222no—
481#106—22no—
482#106—1222no—
483C4⋊C8—1222no—
484C4⋊C8—1222no—
485#102—22no—
486#102—22no—
487#102—1222no—
488#102—1222no—
489#102—1222no—
490#102—1222no—
491C22⋊C8—1222no—
492C22⋊C8—1222no—
493#97—1222no—
494#97C22⋊D6114yescomplemented
495#95—1221no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499#95—1221no—
500#95—1221no—
501C24—21no—
502C24—21no—
503C24—611no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—1224no—
515C2×D4—1224no—
516C2×D4—2442no—
517C2×D4—2442no—
518C2×D4—2442no—
519C2×D4—2442no—
520C2×D4#1175822212yes—
521C2×D4#1175822212yes—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—611no—
531C22×C4—611no—
532C22×C4—611no—
533C22×C4—1222no—
534C22×C4—1222no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1222no—
544C22×C4—1222no—
545C22×C4—1221no—
546C22×C4—1221no—
547C22×C4—2441no—
548C22×C4—2441no—
549C22×C4D4×D6111yescharacteristic
550C22×C4D4×D6111yescharacteristic
551C22×C4C23×D6111yescharacteristic
552D8—28no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8C2×C22⋊D6112yes—
564C2×C8C2×C22⋊D6112yes—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—612no—
570C4⋊C4—612no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—2442no—
578C4⋊C4—2442no—
579C22⋊C4—42no—
580C22⋊C4—42no—
581C22⋊C4—1224no—
582C22⋊C4—1224no—
583C22⋊C4—2442no—
584C22⋊C4—2442no—
585C22⋊C4—2442no—
586C22⋊C4—2442no—
587C22⋊C4—2442no—
588C22⋊C4—2442no—
589C42—1221no—
590C42—1221no—
591C42—1222no—
592C42—1222no—
593C42—2442no—
594C42—2442no—
595C42#1175822412yes—
596C42C2×C22⋊D6112yes—
597C23—22no—
598C23—22no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—612no—
612C23—1221no—
613C23—1221no—
614C23—1221no—
615C23—1221no—
616C23—1221no—
617C23—1221no—
618C23C2×D4×D6111yescharacteristic
619D4—22no—
620D4—22no—
621D4—22no—
622D4—22no—
623D4—41no—
624D4—41no—
625D4—41no—
626D4—41no—
627D4—2448no—
628D4—2448no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—84no—
640C2×C4—84no—
641C2×C4—612no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1222no—
649C2×C4—1222no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—2444no—
653C2×C4—2444no—
654C2×C4—2441no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4#1451974812yes—
669C2×C4#1451974812yes—
670C2×C4C22×C22⋊D6111yescharacteristic
671C2×C4#41×D6111yescharacteristic
672C2×C4#41×D6111yescharacteristic
673C2×C4C2×#1175822411yescharacteristic
674C2×C4C2×#1175822211yescharacteristic
675C2×C4C2×#1175822211yescharacteristic
676C8—22no—
677C8—22no—
678C8—2441no—
679C8—2441no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22—81no—
694C22—1222no—
695C22—1222no—
696C22—1222no—
697C22—2441no—
698C22—2441no—
699C22—2441no—
700C22—2441no—
701C22C2×#1451974811yescharacteristic
702C22#1684027111yescharacteristic
703C22#1684027111yescharacteristic
704C22AGL(1,ℤ/8)×D6111yescharacteristic
705C22AGL(1,ℤ/8)×D6111yescharacteristic
706C22#1684055811yescharacteristic
707C22#1684055811yescharacteristic
708C4—22no—
709C4—22no—
710C4—81no—
711C4—81no—
712C4—1222no—
713C4—4881no—
714C4—4881no—
715C4—2442no—
716C4—2441no—
717C4—2442no—
718C4—2441no—
719C4#1684027311yescharacteristic
720C4#1684029211yescharacteristic
721C4#1684029211yescharacteristic
722C4#1684030811yescharacteristic
723C2—82no—
724C2—82no—
725C2—2442no—
726C2#2144905711yescharacteristic
727C2#2145543211yescharacteristic
728C2#2145543211yescharacteristic
729C2#2145590811yescharacteristic
730C2#2145592411yescharacteristic
731C2#2145595511yescharacteristic
732C2#2145596611yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#442C2
socleC23×C61C22×D4
prime radical#21446814C2
hypercenterC2×#442D61
hypocenterC61#23708
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
1. C2×#16839817C2semidirect
2. C4×#14519748C2semidirect
3. C4×#14519748C2semidirect
4. #21447318C2semidirect
5. #21447253C2semidirect
6. #21447205C2semidirect
7. #21447191C2semidirect
8. #21447127C2semidirect
9. #21447007C2semidirect
10. #21447000C2semidirect
12. #21445716C2semidirect
13. #21445644C2semidirect
14. #21445644C2semidirect
15. C2×C61×#442C2semidirect
133. #97×C61D4semidirect
357. C2×#442D61semidirect
427. C61#23708semidirect
494. #97C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168398172
C4×#145197482
#214473182
#214472532
#214472052
#214471912
#214471272
#214470072
#214470002
#214468142
#214457162
#214456442
C2×C61×#4422
#2370861