Finite Group Databasebeta

← #29681635

Subgroups — #29681635

Order 15616.

1974 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840273C211yesmaximal, characteristic
2#21459020C211yesmaximal, characteristic, complemented
3C2×#16839735C211yesmaximal, characteristic, complemented
4#21448202C211yesmaximal, characteristic, complemented
5#21446229C214yesmaximal, complemented
6#21446224C214yesmaximal, complemented
7#21445552C211yesmaximal, characteristic, complemented
8#21445551C211yesmaximal, characteristic, complemented
9C61×#2280C211yesmaximal, characteristic, complemented
10C22×#11758222C2211yescharacteristic
11#16840273—24no—
12#16840273C418yescomplemented
13C2×#14519760C2212yes—
14C2×#14519756—21no—
15C2×#14519751—21no—
16C2×#14519746C2212yes—
17#16840243—22no—
18#16840242—22no—
19#16840239—21no—
20#16840236—21no—
21#16840235C2214yes—
22C4×#11758222—22no—
23#16840230—22no—
24C2×C4×C22⋊D61—22no—
25C2×#14519736C2211yescharacteristic
26C2×#14519736C2211yescharacteristic
27C2×#14519736C2211yescharacteristic
28#117×D61—22no—
29#16839735—24no—
30C2×#14519691C2214yes—
31#16839625C2212yes—
32#16839622—22no—
33#16839618C2212yes—
34C4×C22⋊Dic61—22no—
35#16839529C2214yes—
36#16839528C2214yes—
37C24×C4×C61C2211yescharacteristic
38C2×#117×C61C2211yescharacteristic
39C2×#117×C61C2211yescharacteristic
40C61×#381C2212yes—
41C61×#380—22no—
42C61×#379C2212yes—
43C4×C22⋊C4×C61—22no—
44C2×#11758222—21no—
45C2×#11758222—21no—
46C2×#11758222—21no—
47C2×#11758222—21no—
48C2×#11758222—22no—
49C2×#11758222—22no—
50C2×#11758222C2×C414yes—
51C2×#11758222D414yes—
52C22×Dic122D411yescharacteristic
53C22×D244D411yescharacteristic
54C22×C22⋊D61—22no—
55C22×C22⋊D61C2312yes—
56C22×C4×D61D412yes—
57#14519760—24no—
58#14519760C2×C418yescomplemented
59#14519756—28no—
60#14519751—28no—
61#14519746—24no—
62#14519746C2×C418yescomplemented
63C4×Dic122—24no—
64#14519742—24no—
65C4×D244—24no—
66#14519739—24no—
67C4×C22⋊D61—28no—
68C4×C22⋊D61—216no—
69#14519737—28no—
70#14519736—21no—
71#14519736—21no—
72#14519736—21no—
73#14519736—21no—
74#14519736—22no—
75#14519736—22no—
76#14519736—22no—
77#14519736C2×C414yescomplemented
78#14519735—24no—
79#14519734—24no—
80#14519733—24no—
81C2×C4⋊Dic61—21no—
82C2×C4⋊Dic61—21no—
83C2×C4⋊Dic61D412yescomplemented
84C2×#11758196—22no—
85C4⋊C4×D61—24no—
86C2×C22⋊Dic61—22no—
87C2×C22⋊Dic61—24no—
88C2×C22⋊Dic61C2312yes—
89C2×C22⋊Dic61C2312yes—
90C2×C22⋊Dic61C2312yes—
91C2×#11758198—22no—
92C22⋊C4×D61—24no—
93C2×C4×Dic61—21no—
94C2×C4×Dic61—21no—
95C2×C4×Dic61D412yescomplemented
96C42×D61—24no—
97#14519691—28no—
98#14519684—24no—
99C25×C61C2311yescharacteristic
100C23×C4×C61—21no—
101C23×C4×C61—21no—
102C23×C4×C61—22no—
103C23×C4×C61—21no—
104C23×C4×C61—21no—
105C23×C4×C61—21no—
106C23×C4×C61—21no—
107C23×C4×C61—22no—
108C23×C4×C61—22no—
109C23×C4×C61C2×C414yescomplemented
110C23×C4×C61C2311yescharacteristic
111C23×C4×C61C2311yescharacteristic
112#117×C61—21no—
113#117×C61—21no—
114#117×C61—21no—
115#117×C61—21no—
116#117×C61—22no—
117#117×C61—22no—
118C2×C4⋊C4×C61—21no—
119C2×C4⋊C4×C61D412yescomplemented
120C2×C22⋊C4×C61—24no—
121C2×C22⋊C4×C61C2312yes—
122C2×C22⋊C4×C61C2312yes—
123C2×C42×C61—21no—
124C2×C42×C61D412yescomplemented
125#95×C61—24no—
126C24×C61—21no—
127C24×C61—21no—
128C24×C61—21no—
129C24×C61—21no—
130C24×C61—21no—
131C24×C61—21no—
132C24×C61—44no—
133C24×C61C22×C412yes—
134C24×C61C2411yescharacteristic
135C23×D61C2×D412yes—
136C22×C4×C61—21no—
137C22×C4×C61—21no—
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—24no—
143C22×C4×C61—24no—
144C22×C4×C61—24no—
145C22×C4×C61—24no—
146C22×C4×C61—24no—
147C22×C4×C61—24no—
148C22×C4×C61—22no—
149C22×C4×C61—41no—
150C22×C4×C61—41no—
151C22×C4×C61—41no—
152C22×C4×C61—41no—
153C22×C4×C61—42no—
154C22×C4×C61—42no—
155C22×C4×C61—42no—
156C22×C4×C61—42no—
157C22×C4×C61—42no—
158C22×C4×C61—42no—
159C22×C4×C61C22×C412yes—
160C22×C4×C61C22×C412yes—
161C22×C4×C61C2×D414yes—
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D412yes—
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61C2×D411yescharacteristic
168C22×C4×C61C2×D411yescharacteristic
169C22×C4×C61#4112yes—
170C22×C4×C61#4112yes—
171C2×C22⋊D61—22no—
172C2×C22⋊D61—22no—
173C2×C22⋊D61—22no—
174C2×C22⋊D61—22no—
175C2×C22⋊D61—28no—
176C2×C22⋊D61—48no—
177C2×C22⋊D61C22×C414yes—
178C2×C22⋊D61C2×D414yes—
179C22×Dic61—22no—
180C22×Dic61—22no—
181C22×Dic61C2×D412yes—
182C22×Dic61C2×D414yes—
183#11758222—24no—
184#11758222—24no—
185#11758222—24no—
186#11758222—24no—
187#11758222—24no—
188#11758222—24no—
189#11758222—24no—
190#11758222—24no—
191C2×D244—21no—
192C2×D244—21no—
193C2×D244—22no—
194C2×D244C22⋊C414yescomplemented
195C2×C4×D61—22no—
196C2×C4×D61—22no—
197C2×C4×D61—24no—
198C2×C4×D61—28no—
199C2×C4×D61C22⋊C418yescomplemented
200C2×Dic122—21no—
201C2×Dic122—21no—
202C2×Dic122—22no—
203C2×Dic122C22⋊C414yescomplemented
204C4⋊C4×C61—22no—
205C4⋊C4×C61—22no—
206C4⋊C4×C61—42no—
207C22⋊C4×C61—22no—
208C22⋊C4×C61—22no—
209C22⋊C4×C61—22no—
210C22⋊C4×C61—22no—
211C22⋊C4×C61—48no—
212C42×C61—22no—
213C42×C61—22no—
214C42×C61—42no—
215C22⋊Dic61—22no—
216C22⋊Dic61—22no—
217C22⋊Dic61—22no—
218C22⋊Dic61—28no—
219C22⋊Dic61—22no—
220C22⋊Dic61—22no—
221C22⋊Dic61—48no—
222C22⋊Dic61C22×C414yes—
223#11758198—28no—
224#11758198—28no—
225C4⋊Dic61—24no—
226C4⋊Dic61—22no—
227C4⋊Dic61—22no—
228C4⋊Dic61—42no—
229#11758196—28no—
230#11758196—28no—
231C4×Dic61—28no—
232C4×Dic61—24no—
233C4×Dic61—22no—
234C4×Dic61—22no—
235C4×Dic61—42no—
236C23×C61—24no—
237C23×C61—24no—
238C23×C61—24no—
239C23×C61—22no—
240C23×C61—22no—
241C23×C61—22no—
242C23×C61—44no—
243C23×C61—42no—
244C23×C61—42no—
245C23×C61—42no—
246C23×C61—42no—
247C23×C61—44no—
248C23×C61—44no—
249C23×C61—44no—
250C23×C61—41no—
251C23×C61—41no—
252C23×C61—41no—
253C23×C61—41no—
254C23×C61C23×C411yescharacteristic
255C23×C61C22×D411yescharacteristic
256C23×C61C22×D411yescharacteristic
257C23×C61C22×D411yescharacteristic
258C23×C61C22×D411yescharacteristic
259C23×C61C2×#4111yescharacteristic
260C23×C61C2×#4111yescharacteristic
261C22×D61—22no—
262C22×D61—22no—
263C22×D61—44no—
264C22×D61C2×C22⋊C414yes—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—24no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—44no—
274C2×C4×C61—44no—
275C2×C4×C61—44no—
276C2×C4×C61—44no—
277C2×C4×C61—44no—
278C2×C4×C61—44no—
279C2×C4×C61—42no—
280C2×C4×C61C2×C22⋊C412yes—
281C2×C4×C61C2×C22⋊C412yes—
282C2×C4×C61C4×D412yes—
283C2×C4×C61C4×D412yes—
284C2×C4×C61C4×D412yes—
285C2×C4×C61C4×D412yes—
286C2×C4×C61#12011yescharacteristic
287C2×C4×C61#12011yescharacteristic
288C2×C4×C61#12011yescharacteristic
289C2×C4×C61#12011yescharacteristic
290C2×C4×C61#12112yes—
291C2×C4×C61#12112yes—
292C2×C4×C61#12112yes—
293C2×C4×C61#12112yes—
294C2×C4×C61#12312yes—
295C2×C4×C61#12312yes—
296C22⋊D61—24no—
297C22⋊D61—24no—
298C22⋊D61—24no—
299C22⋊D61—24no—
300C22⋊D61—416no—
301C2×Dic61—22no—
302C2×Dic61—22no—
303C2×Dic61—24no—
304C2×Dic61—24no—
305C2×Dic61—44no—
306C2×Dic61—44no—
307C2×Dic61—44no—
308C2×Dic61—42no—
309C2×Dic61C2×C22⋊C414yes—
310D244—24no—
311D244—24no—
312C4×D61—28no—
313C4×D61—28no—
314C4×D61—88no—
315Dic122—24no—
316Dic122—24no—
317#20959—611nomaximal, Sylow
318C22×C61—22no—
319C22×C61—22no—
320C22×C61—22no—
321C22×C61—24no—
322C22×C61—24no—
323C22×C61—24no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—41no—
327C22×C61—41no—
328C22×C61—42no—
329C22×C61—44no—
330C22×C61—44no—
331C22×C61—44no—
332C22×C61—42no—
333C22×C61—42no—
334C22×C61—44no—
335C22×C61—42no—
336C22×C61C22×C22⋊C411yescharacteristic
337C22×C61C2×C4×D411yescharacteristic
338C22×C61C2×C4×D411yescharacteristic
339C22×C61C2×#12011yescharacteristic
340C22×C61C2×#12111yescharacteristic
341C22×C61C2×#12111yescharacteristic
342C22×C61C2×#12311yescharacteristic
343C2×D61—24no—
344C2×D61—44no—
345C2×D61—44no—
346C2×D61—82no—
347C4×C61—44no—
348C4×C61—42no—
349C4×C61—82no—
350C4×C61#38612yes—
351C4×C61#38612yes—
352C4×C61#38612yes—
353C4×C61#38612yes—
354Dic61—24no—
355Dic61—44no—
356Dic61—44no—
357Dic61—82no—
358C2×#525—611no—
359#3428—611no—
360C2×#410—611no—
361#2280—611no—
362#2280D6111yescharacteristic, complemented
363#1890—614no—
364#1889—614no—
365#1740—611no—
366#1740—611no—
367C2×C61—21no—
368C2×C61—21no—
369C2×C61—21no—
370C2×C61—21no—
371C2×C61—21no—
372C2×C61—21no—
373C2×C61—44no—
374C2×C61C2×#38611yescharacteristic
375C2×C61#302512yes—
376D61—44no—
377C22×#41—611no—
378C24×C4C2×D6111yescharacteristic
379#525—618no—
380#525—1224no—
381C2×#123—612no—
382C2×C22⋊Q8—1221no—
383C2×#121—1221no—
384C2×#120—612no—
385#520—1222no—
386#520—1222no—
387#519—1221no—
388#518—614no—
389#518—1221no—
390C4×#41—1222no—
391C4×#41—1222no—
392C2×C4×D4—1222no—
393C2×#117—611no—
394C2×#117—611no—
395C2×#117—611no—
396C2×#117—1222no—
397C2×#117C2×D6111yescharacteristic
398C2×#117C2×D6111yescharacteristic
399#410—1224no—
400C2×#99—614no—
401#381—612no—
402#381C2×D6112yes—
403#380—22no—
404#380—1222no—
405#379—612no—
406#379C2×D6112yes—
407C4×C22⋊C4—22no—
408C4×C22⋊C4—1222no—
409#342—614no—
410#342—614no—
411C61#2095911yescharacteristic, complemented, Sylow
412C25C22×D6111yescharacteristic
413C2×#41—614no—
414C2×#41—614no—
415C2×#41—1222no—
416C2×#41—1221no—
417C2×#41—1221no—
418C2×#41—1222no—
419C2×#41—1221no—
420C2×#41—1221no—
421C22×Q8—611no—
422C22×D4—612no—
423C22×D4—611no—
424C22×D4—1222no—
425C23×C4—22no—
426C23×C4—21no—
427C23×C4—21no—
428C23×C4—22no—
429C23×C4—21no—
430C23×C4—21no—
431C23×C4—22no—
432C23×C4—21no—
433C23×C4—21no—
434C23×C4—612no—
435C23×C4C4×D6114yescomplemented
436C23×C4C22×D6111yescharacteristic
437C23×C4C22×D6111yescharacteristic
438#123—618no—
439#123—1224no—
440C22⋊Q8—1228no—
441#121—1228no—
442#120—618no—
443#120—1224no—
444C4×Q8—1224no—
445C4×Q8—1224no—
446C4×D4—1224no—
447C4×D4—1228no—
448C4×D4—1224no—
449C4×D4—12216no—
450C4×D4—1228no—
451#117—21no—
452#117—21no—
453#117—21no—
454#117—21no—
455#117—22no—
456#117—22no—
457#117—614no—
458#117—1224no—
459#117—1224no—
460#117—1224no—
461#117—1221no—
462#117—1221no—
463#117—1222no—
464#117—1221no—
465#117—1221no—
466#117—1222no—
467#117—1222no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—612no—
470C2×C4⋊C4—1224no—
471C2×C4⋊C4—1222no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4—1221no—
474C2×C4⋊C4C22⋊D6112yescomplemented
475C2×C22⋊C4—24no—
476C2×C22⋊C4—612no—
477C2×C22⋊C4—612no—
478C2×C22⋊C4—612no—
479C2×C22⋊C4—1224no—
480C2×C22⋊C4—1222no—
481C2×C22⋊C4—1222no—
482C2×C22⋊C4—1224no—
483C2×C22⋊C4C22×D6112yes—
484C2×C22⋊C4C22×D6112yes—
485C2×C42—21no—
486C2×C42—612no—
487C2×C42—1224no—
488C2×C42—1221no—
489C2×C42—1221no—
490C2×C42C22⋊D6112yescomplemented
491#99—1228no—
492#95—24no—
493#95—1224no—
494C24—21no—
495C24—21no—
496C24—21no—
497C24—21no—
498C24—21no—
499C24—21no—
500C24—44no—
501C24—612no—
502C24C2×C4×D6112yes—
503C24C23×D6111yescharacteristic
504#41—1224no—
505#41—1224no—
506#41—1224no—
507#41—1224no—
508#41—1224no—
509#41—1224no—
510#41—1224no—
511#41—1224no—
512C2×Q8—614no—
513C2×Q8—1221no—
514C2×Q8—1221no—
515C2×Q8—1222no—
516C2×D4—614no—
517C2×D4—614no—
518C2×D4—614no—
519C2×D4—1222no—
520C2×D4—1222no—
521C2×D4—1222no—
522C2×D4—1222no—
523C2×D4—1228no—
524C2×D4—1221no—
525C2×D4—1221no—
526C2×D4—1222no—
527C2×D4—2448no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—24no—
535C22×C4—24no—
536C22×C4—24no—
537C22×C4—24no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—22no—
541C22×C4—41no—
542C22×C4—41no—
543C22×C4—41no—
544C22×C4—41no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—42no—
549C22×C4—42no—
550C22×C4—42no—
551C22×C4—612no—
552C22×C4—618no—
553C22×C4—614no—
554C22×C4—1228no—
555C22×C4—1222no—
556C22×C4—1222no—
557C22×C4—1224no—
558C22×C4—1222no—
559C22×C4—1222no—
560C22×C4C2×C4×D6112yes—
561C22×C4C2×C4×D6112yes—
562C22×C4#1175822212yes—
563C22×C4D4×D6111yescharacteristic
564C22×C4D4×D6111yescharacteristic
565C22×C4D4×D6112yes—
566C22×C4D4×D6111yescharacteristic
567C22×C4D4×D6111yescharacteristic
568C22×C4#1175822412yes—
569C22×C4C2×C22⋊D6114yes—
570C22×C4C2×C22⋊D6111yescharacteristic
571C22×C4C2×C22⋊D6111yescharacteristic
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—42no—
575C4⋊C4—1228no—
576C4⋊C4—1228no—
577C4⋊C4—1224no—
578C4⋊C4—1222no—
579C4⋊C4—1222no—
580C4⋊C4—2442no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—48no—
586C22⋊C4—614no—
587C22⋊C4—1228no—
588C22⋊C4—1228no—
589C22⋊C4—1228no—
590C22⋊C4—1222no—
591C22⋊C4—1222no—
592C22⋊C4—1222no—
593C22⋊C4—1222no—
594C22⋊C4—1222no—
595C22⋊C4—2448no—
596C42—22no—
597C42—22no—
598C42—42no—
599C42—1228no—
600C42—1224no—
601C42—1222no—
602C42—1222no—
603C42—2442no—
604C23—24no—
605C23—24no—
606C23—24no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—44no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—614no—
623C23—1222no—
624C23—1222no—
625C23—2444no—
626C23C22×C4×D6111yescharacteristic
627C23C2×D4×D6111yescharacteristic
628C23C2×D4×D6111yescharacteristic
629C23C2×D4×D6111yescharacteristic
630C23C22×C22⋊D6111yescharacteristic
631C23C2×#1175822411yescharacteristic
632C23C2×#1175822211yescharacteristic
633Q8—1224no—
634Q8—1224no—
635D4—1224no—
636D4—1224no—
637D4—1224no—
638D4—1224no—
639D4—1224no—
640D4—1224no—
641D4—24416no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—44no—
651C2×C4—44no—
652C2×C4—44no—
653C2×C4—44no—
654C2×C4—44no—
655C2×C4—44no—
656C2×C4—42no—
657C2×C4—614no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1228no—
661C2×C4—1228no—
662C2×C4—1224no—
663C2×C4—1224no—
664C2×C4—4888no—
665C2×C4—2444no—
666C2×C4—2442no—
667C2×C4—2444no—
668C2×C4—2444no—
669C2×C4C22⋊C4×D6112yes—
670C2×C4C22⋊C4×D6112yes—
671C2×C4#1451973712yes—
672C2×C4#1451973712yes—
673C2×C4C4×C22⋊D6112yes—
674C2×C4C4×C22⋊D6112yes—
675C2×C4#1451974511yescharacteristic
676C2×C4#1451974511yescharacteristic
677C2×C4#1451974511yescharacteristic
678C2×C4#1451974511yescharacteristic
679C2×C4#1451974812yes—
680C2×C4#1451974812yes—
681C2×C4#1451975012yes—
682C2×C4#1451975012yes—
683C2×C4#1451975912yes—
684C2×C4#1451975912yes—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—24no—
689C22—24no—
690C22—24no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—44no—
696C22—44no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—44no—
701C22—42no—
702C22—44no—
703C22—1224no—
704C22—4882no—
705C22—2444no—
706C22—2444no—
707C22C2×C22⋊C4×D6111yescharacteristic
708C22C2×#1451973711yescharacteristic
709C22C2×C4×C22⋊D6111yescharacteristic
710C22C2×#1451974511yescharacteristic
711C22C2×#1451974811yescharacteristic
712C22C2×#1451975011yescharacteristic
713C22C2×#1451975911yescharacteristic
714C4—42no—
715C4—44no—
716C4—82no—
717C4—1224no—
718C4—4882no—
719C4—2444no—
720C4—2444no—
721C4#1683963812yes—
722C4#1683963812yes—
723C4#1683963812yes—
724C4#1683963812yes—
725C2—21no—
726C2—21no—
727C2—21no—
728C2—21no—
729C2—21no—
730C2—21no—
731C2—44no—
732C2—2444no—
733C2C2×#1683963811yescharacteristic
734C2#2145521012yes—
subgroupG/H
centerC2×C4#14519745
commutatorC23×C61C23×C4
FrattiniC24C23×D61
FittingC61×#2280C2
socleC22×C61C2×#120
prime radicalC2×#16840273C2
cosocleC24×C61C24
hypercenter#2280D61
hypocenterC61#20959
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #2280

Complements

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

NH ≅ G/Ntype
2. #21459020C2semidirect
3. C2×#16839735C2semidirect
4. #21448202C2semidirect
5. #21446229C2semidirect
6. #21446224C2semidirect
7. #21445552C2semidirect
8. #21445551C2semidirect
9. C61×#2280C2semidirect
12. #16840273C4semidirect
58. #14519760C2×C4semidirect
62. #14519746C2×C4semidirect
77. #14519736C2×C4semidirect
83. C2×C4⋊Dic61D4semidirect
95. C2×C4×Dic61D4semidirect
109. C23×C4×C61C2×C4semidirect
119. C2×C4⋊C4×C61D4semidirect
124. C2×C42×C61D4semidirect
194. C2×D244C22⋊C4semidirect
199. C2×C4×D61C22⋊C4semidirect
203. C2×Dic122C22⋊C4semidirect
362. #2280D61semidirect
411. C61#20959semidirect
435. C23×C4C4×D61semidirect
474. C2×C4⋊C4C22⋊D61semidirect
490. C2×C42C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168402732
#214590202
C2×#168397352
#214482022
#214462292
#214462242
#214455522
#214455512
C61×#22802
#2095961