Finite Group Databasebeta

← #29709425

Subgroups — #29709425

Order 15616.

1062 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×C4×#11758199C211yesmaximal, characteristic, complemented
2C2×#16839813C211yesmaximal, characteristic, complemented
3C4×#14519752C211yesmaximal, characteristic, complemented
4C4×#14519748C211yesmaximal, characteristic, complemented
5#21447311C211yesmaximal, characteristic, complemented
6#21447246C211yesmaximal, characteristic, complemented
7#21447208C211yesmaximal, characteristic, complemented
8#21447203C211yesmaximal, characteristic, complemented
9#21447128C211yesmaximal, characteristic, complemented
10#21447004C211yesmaximal, characteristic, complemented
11#21446999C211yesmaximal, characteristic, complemented
12#21446816C211yesmaximal, characteristic
13C4×#14519710C211yesmaximal, characteristic, complemented
14C4×#14519699C211yesmaximal, characteristic, complemented
15C4×#102×C61C211yesmaximal, characteristic, complemented
16C22×#11758199C2211yescharacteristic
17C2×#14519752C2211yescharacteristic
18C2×#14519748C2211yescharacteristic
19C2×C4×D244—21no—
20C2×C4×D244C2211yescharacteristic
21C2×C4×C22⋊D61—21no—
22C2×C42×D61C2211yescharacteristic
23C4×#11758199—24no—
24#16839813—24no—
25C2×#14519710C2211yescharacteristic
26C2×#14519710C2211yescharacteristic
27C2×#14519710C2211yescharacteristic
28C2×#14519706C2211yescharacteristic
29C2×#14519706C2211yescharacteristic
30C2×#14519699C2211yescharacteristic
31C2×#14519699C2211yescharacteristic
32C2×#14519698C2211yescharacteristic
33C2×#14519697C2211yescharacteristic
34C2×#14519689C2211yescharacteristic
35C2×#14519689C2211yescharacteristic
36C2×C4×#92418C2211yescharacteristic
37#16839665C2211yescharacteristic
38#16839663C2211yescharacteristic
39#16839661C2211yescharacteristic
40#16839658C2211yescharacteristic
41#16839654—21no—
42#16839650—21no—
43#16839640—21no—
44#16839638—21no—
45#16839619C2211yescharacteristic
46#16839619C2211yescharacteristic
47C4×C4⋊Dic61C2211yescharacteristic
48C4×#11758198—21no—
49C4×C22⋊Dic61—21no—
50#16839525C2211yescharacteristic
51#16839525C2211yescharacteristic
52#16839524C2211yescharacteristic
53#16839524C2211yescharacteristic
54C2×C4×D4×C61C2211yescharacteristic
55C2×#102×C61C2211yescharacteristic
56C2×#102×C61C2211yescharacteristic
57C2×C4×C8×C61C2211yescharacteristic
58C4×C4⋊C4×C61C2211yescharacteristic
59C61×#340C2211yescharacteristic
60C61×#340C2211yescharacteristic
61C22×D244—21no—
62C22×D244C2311yescharacteristic
63C22×C22⋊D61—21no—
64C22×C4×D61—21no—
65C22×C4×D61D411yescharacteristic
66C22×C4×D61D411yescharacteristic
67C22×C4×D61C2311yescharacteristic
68C2×#11758199—22no—
69C2×#11758199—22no—
70C2×#11758199—22no—
71C22×#92418C2311yescharacteristic
72C22×#92418C2311yescharacteristic
73#14519752—22no—
74#14519752—22no—
75#14519748—22no—
76#14519748—22no—
77C4×D244—22no—
78C4×D244—22no—
79C4×D244—44no—
80C4×C22⋊D61—44no—
81C2×C4⋊Dic61—21no—
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C4⋊Dic61C2311yescharacteristic
85C2×#11758196—21no—
86C2×C22⋊Dic61—21no—
87C2×C22⋊Dic61—21no—
88C2×C22⋊Dic61—21no—
89C2×#11758198—21no—
90C2×#11758198—21no—
91C2×#11758198—21no—
92C2×#11758198—21no—
93C2×#11758198—21no—
94C2×#11758198—21no—
95C2×C4×Dic61—21no—
96C2×C4×Dic61D411yescharacteristic
97C2×C4×Dic61D411yescharacteristic
98C2×C4×Dic61C2311yescharacteristic
99C42×D61—22no—
100C42×D61—22no—
101#14519710—22no—
102#14519710—22no—
103#14519710—22no—
104#14519706—22no—
105#14519706—22no—
106#14519699—22no—
107#14519699—22no—
108#14519698—22no—
109#14519697—22no—
110#14519689—22no—
111#14519689—22no—
112C4×#92418D414yescomplemented
113#14519684—21no—
114#14519684—21no—
115#14519684—21no—
116#14519684—21no—
117#14519684—21no—
118C22×D4×C61C2311yescharacteristic
119C23×C4×C61—21no—
120C22×C8×C61C2311yescharacteristic
121C22×C8×C61C2311yescharacteristic
122C4×D4×C61—22no—
123C4×D4×C61—22no—
124C2×C4⋊C4×C61C2311yescharacteristic
125C2×C4⋊C4×C61C2311yescharacteristic
126C2×C4⋊C4×C61C2311yescharacteristic
127C2×C22⋊C4×C61—21no—
128C2×C42×C61—21no—
129C2×C42×C61C2311yescharacteristic
130#102×C61—22no—
131#102×C61—22no—
132C4×C8×C61—22no—
133#95×C61—21no—
134C24×C61—21no—
135C23×D61—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#4112yes—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—42no—
147C22×C4×C61—42no—
148C22×C4×C61—42no—
149C22×C4×C61C2×D411yescharacteristic
150C22×C4×C61C2×D411yescharacteristic
151C22×C4×C61C2411yescharacteristic
152C2×C22⋊D61—24no—
153C2×C22⋊D61—42no—
154C2×C22⋊D61—42no—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61—21no—
158C22×Dic61C2×D411yescharacteristic
159C22×Dic61C2×D411yescharacteristic
160C22×Dic61C2×D411yescharacteristic
161C2×D244—21no—
162C2×D244—21no—
163C2×D244—21no—
164C2×D244—21no—
165C2×D244—24no—
166C2×D244—21no—
167C2×D244—42no—
168C2×D244—42no—
169C2×D244#4112yes—
170C2×C4×D61—22no—
171C2×C4×D61—22no—
172C2×C4×D61—22no—
173C2×C4×D61—21no—
174C2×C4×D61—21no—
175C2×C4×D61—21no—
176C2×C4×D61—21no—
177C2×C4×D61—21no—
178C2×C4×D61—21no—
179C2×C4×D61—41no—
180C2×C4×D61—41no—
181C2×C4×D61—42no—
182C2×C4×D61—42no—
183C2×C4×D61—42no—
184C2×C4×D61D814yescomplemented
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61—21no—
190C2×C8×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61#4112yes—
197C22⋊C4×C61—42no—
198C42×C61—42no—
199C42×C61C2×D412yes—
200C42×C61#4112yes—
201C22⋊Dic61—24no—
202C22⋊Dic61—42no—
203C22⋊Dic61—42no—
204#11758199—28no—
205#11758198—24no—
206#11758198—42no—
207#11758198—42no—
208#11758198—42no—
209#11758198—42no—
210#11758198—42no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—42no—
217C4⋊Dic61#4112yes—
218#11758196—42no—
219C4×Dic61—22no—
220C4×Dic61—22no—
221C4×Dic61—21no—
222C4×Dic61—21no—
223C4×Dic61—42no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418—21no—
227C2×#92418—21no—
228C2×#92418C2×D412yes—
229C2×#92418C2×D412yes—
230C23×C61—22no—
231C23×C61—41no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61C22×D411yescharacteristic
238C22×D61—21no—
239C22×D61—21no—
240C22×D61—21no—
241C22×D61—21no—
242C22×D61—21no—
243C22×D61—21no—
244C22×D61—22no—
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61C2×D812yes—
252D4×C61—22no—
253D4×C61—22no—
254D4×C61—41no—
255D4×C61—41no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—22no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—84no—
268C2×C4×C61#12112yes—
269C2×C4×C61#12112yes—
270C2×C4×C61C2×D812yes—
271C2×C4×C61#13512yes—
272C2×C4×C61C22×D411yescharacteristic
273C2×C4×C61C2×#4111yescharacteristic
274C2×C4×C61C2×#4111yescharacteristic
275C2×C4×C61C2×#4111yescharacteristic
276C2×C4×C61C2×#4111yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C22⋊D61—48no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—21no—
282C2×Dic61—21no—
283C2×Dic61—22no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61C2×D812yes—
297D244—22no—
298D244—22no—
299D244—48no—
300D244—41no—
301D244—41no—
302C4×D61—28no—
303C4×D61—44no—
304C4×D61—41no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—41no—
308C4×D61—84no—
309C8×C61—41no—
310C8×C61—41no—
311#92418—22no—
312#92418—22no—
313#23696—611nomaximal, Sylow
314C22×C61—42no—
315C22×C61—42no—
316C22×C61—42no—
317C22×C61—81no—
318C22×C61—81no—
319C22×C61—81no—
320C22×C61—81no—
321C22×C61C2×#12111yescharacteristic
322C22×C61#52511yescharacteristic
323C22×C61#52511yescharacteristic
324C22×C61C22×D811yescharacteristic
325C22×C61C2×#13511yescharacteristic
326C22×C61#57511yescharacteristic
327C22×C61#57511yescharacteristic
328C2×D61—22no—
329C2×D61—22no—
330C2×D61—22no—
331C2×D61—41no—
332C2×D61—41no—
333C2×D61—41no—
334C2×D61—41no—
335C2×D61—42no—
336C2×D61—42no—
337C2×D61—42no—
338C2×D61—81no—
339C2×D61—81no—
340C2×D61—81no—
341C2×D61—81no—
342C4×C61—22no—
343C4×C61—42no—
344C4×C61—81no—
345C4×C61—81no—
346C4×C61#46614yes—
347C4×C61#52511yescharacteristic
348C4×C61#52911yescharacteristic
349C4×C61#52911yescharacteristic
350C4×C61#53211yescharacteristic
351Dic61—22no—
352Dic61—42no—
353Dic61—41no—
354Dic61—41no—
355Dic61—81no—
356Dic61—81no—
357C2×C4×D8—611no—
358C2×#431—611no—
359C4×#121—611no—
360C4×#121—611no—
361#2086—611no—
362#2075—611no—
363#2067—611no—
364#2067—611no—
365#2054—611no—
366#2033—611no—
367#2033—611no—
368#1999—611no—
369C4×#107—611no—
370C4×#102—611no—
371C4×#102D6111yescharacteristic, complemented
372C2×C61—82no—
373C2×C61#239211yescharacteristic
374C2×C61C2×#46611yescharacteristic
375C2×C61#305411yescharacteristic
376C2×C61#310011yescharacteristic
377C2×C61#310011yescharacteristic
378C2×C61#310211yescharacteristic
379C2×C61#310211yescharacteristic
380D61—42no—
381D61—82no—
382C22×D8—611no—
383C2×#121—611no—
384C2×#121—611no—
385C2×C4×D4—611no—
386C2×C4×D4—1221no—
387C2×C4×D4—1221no—
388C2×C4×D4C2×D6111yescharacteristic
389C22×C42—611no—
390C4×D8—1224no—
391#431—1224no—
392C2×#107—611no—
393C2×#107—611no—
394C2×#107—611no—
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×C4×C8—611no—
406C2×C4×C8C2×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⋊C4C2×D6111yescharacteristic
419C4×C22⋊C4—1221no—
420C4×C22⋊C4—1221no—
421#340—611no—
422#340—611no—
423#340—611no—
424#340—611no—
425#340C2×D6111yescharacteristic
426#340C2×D6111yescharacteristic
427C61#2369611yescharacteristic, complemented, Sylow
428C22×D4—611no—
429C22×D4—1221no—
430C22×D4—1221no—
431C22×D4C22×D6111yescharacteristic
432C23×C4—21no—
433C23×C4—611no—
434C23×C4—611no—
435C23×C4—611no—
436C23×C4—1221no—
437C2×D8—1222no—
438C2×D8—1222no—
439C2×D8—1222no—
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—1222no—
451C4×D4—1222no—
452C4×D4—2444no—
453C4×D4—2444no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4C22×D6111yescharacteristic
460C2×C4⋊C4C22×D6111yescharacteristic
461C2×C4⋊C4C22×D6111yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—1221no—
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—21no—
473C2×C42—611no—
474C2×C42—611no—
475C2×C42—611no—
476C2×C42—1222no—
477C2×C42—1222no—
478C2×C42—1221no—
479C2×C42C22×D6111yescharacteristic
480#107—1222no—
481#107—1222no—
482#107—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—
493C4×C8—22no—
494C4×C8—614no—
495#95—21no—
496#95—1221no—
497#95—1221no—
498#95—1221no—
499#95—1221no—
500#95—1221no—
501C24—21no—
502C24—611no—
503C24—1221no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—612no—
510C2×D4—1224no—
511C2×D4—1224no—
512C2×D4—1221no—
513C2×D4—1221no—
514C2×D4—1221no—
515C2×D4—1221no—
516C2×D4—1221no—
517C2×D4—2442no—
518C2×D4—2442no—
519C2×D4—2442no—
520C2×D4—2442no—
521C2×D4#1175822212yes—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—611no—
529C22×C4—614no—
530C22×C4—611no—
531C22×C4—611no—
532C22×C4—1222no—
533C22×C4—1222no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1222no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—2441no—
545C22×C4—2441no—
546C22×C4—2442no—
547C22×C4—2442no—
548C22×C4—2442no—
549C22×C4D4×D6111yescharacteristic
550C22×C4D4×D6111yescharacteristic
551C22×C4C23×D6111yescharacteristic
552D8—1228no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—612no—
560C2×C8—612no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1221no—
564C2×C8—1221no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—612no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—2442no—
577C4⋊C4—2442no—
578C4⋊C4#1175822212yes—
579C22⋊C4—42no—
580C22⋊C4—1224no—
581C22⋊C4—1224no—
582C22⋊C4—2442no—
583C22⋊C4—2442no—
584C22⋊C4—2442no—
585C22⋊C4—2442no—
586C22⋊C4—2442no—
587C22⋊C4—2442no—
588C22⋊C4—2442no—
589C42—42no—
590C42—1221no—
591C42—1221no—
592C42—1222no—
593C42—1222no—
594C42—2442no—
595C42#1175822212yes—
596C42D4×D6112yes—
597C23—22no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—612no—
605C23—1221no—
606C23—1221no—
607C23—1221no—
608C23—1221no—
609C23—1221no—
610C23—1221no—
611C23—1222no—
612C23—2441no—
613C23—2441no—
614C23—2441no—
615C23—2441no—
616C23—2441no—
617C23—2441no—
618C23C2×D4×D6111yescharacteristic
619D4—22no—
620D4—22no—
621D4—41no—
622D4—41no—
623D4—1222no—
624D4—1222no—
625D4—2448no—
626D4—2448no—
627D4—2441no—
628D4—2441no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—84no—
641C2×C4—612no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1228no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—1222no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—4884no—
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#1451975012yes—
667C2×C4#1451975012yes—
668C2×C4D8×D6112yes—
669C2×C4#1451979812yes—
670C2×C4C2×D4×D6111yescharacteristic
671C2×C4#41×D6111yescharacteristic
672C2×C4#41×D6111yescharacteristic
673C2×C4C2×#1175822211yescharacteristic
674C2×C4C2×#1175822211yescharacteristic
675C2×C4C2×#1175822211yescharacteristic
676C8—41no—
677C8—41no—
678C8—1222no—
679C8—1222no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22—1222no—
688C22—1222no—
689C22—1222no—
690C22—4881no—
691C22—4881no—
692C22—4881no—
693C22—4881no—
694C22—2442no—
695C22—2442no—
696C22—2442no—
697C22—2441no—
698C22—2441no—
699C22—2441no—
700C22—2441no—
701C22C2×#1451975011yescharacteristic
702C22#1684027111yescharacteristic
703C22#1684027111yescharacteristic
704C22C2×D8×D6111yescharacteristic
705C22C2×#1451979811yescharacteristic
706C22#1684055911yescharacteristic
707C22#1684055911yescharacteristic
708C4—22no—
709C4—42no—
710C4—81no—
711C4—81no—
712C4—1222no—
713C4—4881no—
714C4—4881no—
715C4—2441no—
716C4—2441no—
717C4—2442no—
718C4#1683999714yes—
719C4#1684027111yescharacteristic
720C4#1684029011yescharacteristic
721C4#1684029611yescharacteristic
722C4#1684030911yescharacteristic
723C2—82no—
724C2—4882no—
725C2—2442no—
726C2#2144906311yescharacteristic
727C2C2×#1683999711yescharacteristic
728C2#2145542711yescharacteristic
729C2#2145581711yescharacteristic
730C2#2145581711yescharacteristic
731C2#2145583511yescharacteristic
732C2#2145584111yescharacteristic
subgroupG/H
centerC22×C4D4×D61
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC4×#102×C61C2
socleC23×C61C22×D4
prime radical#21446816C2
hypercenterC4×#102D61
hypocenterC61#23696
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#102

Complements

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

NH ≅ G/Ntype
1. C2×C4×#11758199C2semidirect
2. C2×#16839813C2semidirect
3. C4×#14519752C2semidirect
4. C4×#14519748C2semidirect
5. #21447311C2semidirect
6. #21447246C2semidirect
7. #21447208C2semidirect
8. #21447203C2semidirect
9. #21447128C2semidirect
10. #21447004C2semidirect
11. #21446999C2semidirect
13. C4×#14519710C2semidirect
14. C4×#14519699C2semidirect
15. C4×#102×C61C2semidirect
112. C4×#92418D4semidirect
184. C2×C4×D61D8semidirect
371. C4×#102D61semidirect
427. C61#23696semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#117581992
C2×#168398132
C4×#145197522
C4×#145197482
#214473112
#214472462
#214472082
#214472032
#214471282
#214470042
#214469992
#214468162
C4×#145197102
C4×#145196992
C4×#102×C612
#2369661