Finite Group Databasebeta

← #29586760

Subgroups — #29586760

Order 15616.

1242 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519808C211yesmaximal, characteristic
2C2×#16839778C211yesmaximal, characteristic
3C2×#16839771C211yesmaximal, characteristic, complemented
4#21454263C211yesmaximal, characteristic
5C2×#16839534C211yesmaximal, characteristic, complemented
6C2×#16839520C211yesmaximal, characteristic, complemented
7C22×#101×C61C211yesmaximal, characteristic, complemented
8C22×#11758222C2211yescharacteristic
9C2×#14519808—22no—
10C2×#14519808—22no—
11C2×#14519808—22no—
12C2×#14519808—22no—
13C2×#14519808—22no—
14C2×#14519808—22no—
15C22×#11758202C412yescomplemented
16C22×#11758201C412yescomplemented
17C22×#11758194C2211yescharacteristic
18C22×#11758194C2211yescharacteristic
19C2×#14519736C2211yescharacteristic
20#16839778—22no—
21#16839778—22no—
22C2×#14519703—22no—
23#16839771—22no—
24#16839771—22no—
25C2×#14519701—22no—
26#16839730—22no—
27#16839728—22no—
28#16839725—22no—
29#16839534—22no—
30#16839520—22no—
31C23×Q8×C61C2211yescharacteristic
32C22×M16×C61C2211yescharacteristic
33C22×M16×C61C2211yescharacteristic
34C2×#101×C61—22no—
35C2×#101×C61—22no—
36C2×#101×C61—22no—
37C2×#11758222—21no—
38C2×#11758222—21no—
39C2×#11758222—21no—
40C2×#11758222—21no—
41C2×#11758222—21no—
42C2×#11758222—21no—
43C2×#11758222—21no—
44C2×#11758222—21no—
45C2×#11758222—21no—
46C2×#11758222—21no—
47C2×#11758222D412yes—
48C2×#11758222D412yes—
49C22×Dic122C2×C411yescharacteristic
50C22×D244C2×C411yescharacteristic
51C22×C22⋊D61—21no—
52C22×C4×D61—21no—
53#14519808—28no—
54#14519808—28no—
55#14519808—28no—
56#14519808—28no—
57C2×#11758202—24no—
58C2×#11758202—24no—
59C2×#11758202—24no—
60C2×#11758201—24no—
61C2×#11758201—24no—
62C2×#11758201—24no—
63C2×#11758194—21no—
64C2×#11758194—21no—
65C2×#11758194—21no—
66C2×#11758194—21no—
67C2×#11758194—21no—
68C2×#11758194—21no—
69C2×#11758194—21no—
70C2×#11758194—21no—
71C2×#11758194—21no—
72C2×#11758194—21no—
73C2×#11758194D412yes—
74C2×#11758194D412yes—
75C22×#92418C2×C412yes—
76C22×#92418D412yes—
77#14519736—21no—
78#14519736—21no—
79#14519736—21no—
80#14519736D412yes—
81C2×C4⋊Dic61—21no—
82C2×C22⋊Dic61—21no—
83C2×C4×Dic61—21no—
84#14519703—28no—
85#14519701—28no—
86#14519689—28no—
87C22×Q8×C61—21no—
88C22×Q8×C61—21no—
89C22×Q8×C61—21no—
90C22×Q8×C61—21no—
91C22×Q8×C61—21no—
92C22×Q8×C61—21no—
93C22×Q8×C61—21no—
94C22×Q8×C61—21no—
95C22×Q8×C61—21no—
96C22×Q8×C61—21no—
97C22×Q8×C61—21no—
98C22×Q8×C61C2×C412yes—
99C22×Q8×C61D412yes—
100C22×Q8×C61D412yes—
101C23×C4×C61—21no—
102C23×C4×C61C2311yescharacteristic
103C2×M16×C61—21no—
104C2×M16×C61—21no—
105C2×M16×C61—21no—
106C2×M16×C61—21no—
107C2×M16×C61—21no—
108C2×M16×C61—21no—
109C2×M16×C61—21no—
110C2×M16×C61—21no—
111C2×M16×C61—21no—
112C2×M16×C61—21no—
113C2×M16×C61D412yes—
114C2×M16×C61D412yes—
115C22×C8×C61—21no—
116C22×C8×C61—21no—
117#101×C61—28no—
118C24×C61#4111yescharacteristic
119C23×D61—21no—
120C2×Q8×C61—22no—
121C2×Q8×C61—22no—
122C2×Q8×C61—22no—
123C2×Q8×C61—22no—
124C2×Q8×C61—22no—
125C2×Q8×C61—22no—
126C2×Q8×C61—22no—
127C2×Q8×C61—22no—
128C2×Q8×C61—22no—
129C2×Q8×C61—22no—
130C2×Q8×C61—22no—
131C2×Q8×C61—22no—
132C2×Q8×C61—22no—
133C2×Q8×C61—22no—
134C2×Q8×C61—22no—
135C2×Q8×C61—41no—
136C2×Q8×C61—41no—
137C2×Q8×C61—41no—
138C2×Q8×C61—41no—
139C2×Q8×C61—41no—
140C2×Q8×C61—41no—
141C2×Q8×C61—41no—
142C2×Q8×C61—41no—
143C2×Q8×C61—41no—
144C2×Q8×C61—41no—
145C2×Q8×C61—41no—
146C2×Q8×C61—41no—
147C2×Q8×C61C22⋊C414yes—
148C22×C4×C61—22no—
149C22×C4×C61—22no—
150C22×C4×C61—22no—
151C22×C4×C61—41no—
152C22×C4×C61—41no—
153C22×C4×C61—41no—
154C22×C4×C61—41no—
155C22×C4×C61C22×C411yescharacteristic
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×D411yescharacteristic
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61#4111yescharacteristic
167C22×C4×C61#4111yescharacteristic
168C22×C4×C61#4111yescharacteristic
169C2×C22⋊D61—22no—
170C2×C22⋊D61—22no—
171C2×C22⋊D61—41no—
172C2×C22⋊D61—41no—
173C2×C22⋊D61—41no—
174C2×C22⋊D61—41no—
175C22×Dic61—21no—
176C22×Dic61—41no—
177#11758222—22no—
178#11758222—22no—
179#11758222—22no—
180#11758222—22no—
181#11758222—22no—
182#11758222—22no—
183#11758222—22no—
184#11758222—22no—
185#11758222—41no—
186#11758222—41no—
187#11758222—41no—
188#11758222—41no—
189#11758222—41no—
190#11758222—41no—
191#11758222—41no—
192#11758222—41no—
193C2×D244—21no—
194C2×D244—21no—
195C2×D244—21no—
196C2×D244—21no—
197C2×D244—21no—
198C2×D244C22⋊C412yes—
199C2×C4×D61—22no—
200C2×C4×D61—22no—
201C2×C4×D61—41no—
202C2×C4×D61—41no—
203C2×C4×D61—41no—
204C2×C4×D61—41no—
205C2×Dic122—21no—
206C2×Dic122—21no—
207C2×Dic122—21no—
208C2×Dic122—21no—
209C2×Dic122—21no—
210C2×Dic122C22⋊C412yes—
211M16×C61—22no—
212M16×C61—22no—
213M16×C61—22no—
214M16×C61—22no—
215M16×C61—41no—
216M16×C61—41no—
217M16×C61—41no—
218M16×C61—41no—
219C2×C8×C61—22no—
220C2×C8×C61—22no—
221C2×C8×C61—41no—
222C2×C8×C61—41no—
223C2×C8×C61—41no—
224C2×C8×C61—41no—
225C22⋊Dic61—22no—
226C22⋊Dic61—41no—
227#11758202—216no—
228#11758201—216no—
229C4⋊Dic61—22no—
230C4⋊Dic61—41no—
231C4×Dic61—22no—
232C4×Dic61—41no—
233#11758194—22no—
234#11758194—22no—
235#11758194—22no—
236#11758194—22no—
237#11758194—41no—
238#11758194—41no—
239#11758194—41no—
240#11758194—41no—
241C2×#92418—22no—
242C2×#92418—22no—
243C2×#92418—22no—
244C2×#92418—22no—
245C2×#92418—22no—
246C2×#92418C22⋊C414yes—
247C23×C61—42no—
248C23×C61C4×D411yescharacteristic
249C23×C61#12111yescharacteristic
250C23×C61#12111yescharacteristic
251C23×C61#12111yescharacteristic
252C23×C61#12311yescharacteristic
253C23×C61#12311yescharacteristic
254C23×C61#12411yescharacteristic
255C22×D61—22no—
256C22×D61—41no—
257C22×D61—41no—
258C22×D61—82no—
259Q8×C61—24no—
260Q8×C61—24no—
261Q8×C61—42no—
262Q8×C61—42no—
263Q8×C61—42no—
264Q8×C61—42no—
265Q8×C61—42no—
266Q8×C61—42no—
267C2×C4×C61—24no—
268C2×C4×C61—42no—
269C2×C4×C61—42no—
270C2×C4×C61—42no—
271C2×C4×C61—42no—
272C2×C4×C61—42no—
273C2×C4×C61—42no—
274C2×C4×C61C2×C22⋊C411yescharacteristic
275C2×C4×C61C2×C22⋊C411yescharacteristic
276C2×C4×C61C2×C22⋊C411yescharacteristic
277C2×C4×C61C4×D411yescharacteristic
278C2×C4×C61C4×D411yescharacteristic
279C2×C4×C61C4×D411yescharacteristic
280C2×C4×C61#12011yescharacteristic
281C2×C4×C61#12011yescharacteristic
282C2×C4×C61#12011yescharacteristic
283C2×C4×C61#12011yescharacteristic
284C2×C4×C61#12011yescharacteristic
285C2×C4×C61#12011yescharacteristic
286C2×C4×C61#12011yescharacteristic
287C2×C4×C61#12011yescharacteristic
288C2×C4×C61#12111yescharacteristic
289C2×C4×C61#12111yescharacteristic
290C2×C4×C61#12111yescharacteristic
291C2×C4×C61#12111yescharacteristic
292C2×C4×C61#12111yescharacteristic
293C2×C4×C61#12111yescharacteristic
294C2×C4×C61#12111yescharacteristic
295C2×C4×C61#12111yescharacteristic
296C2×C4×C61#12111yescharacteristic
297C2×C4×C61#12311yescharacteristic
298C2×C4×C61#12311yescharacteristic
299C2×C4×C61#12411yescharacteristic
300C2×C4×C61#12711yescharacteristic
301C2×C4×C61#12711yescharacteristic
302C22⋊D61—42no—
303C22⋊D61—42no—
304C22⋊D61—42no—
305C22⋊D61—42no—
306C2×Dic61—22no—
307C2×Dic61—41no—
308C2×Dic61—41no—
309C2×Dic61—42no—
310C2×Dic61—82no—
311D244—22no—
312D244—22no—
313D244—41no—
314D244—41no—
315C4×D61—42no—
316C4×D61—42no—
317C4×D61—42no—
318C4×D61—42no—
319Dic122—22no—
320Dic122—22no—
321Dic122—41no—
322Dic122—41no—
323C8×C61—42no—
324C8×C61—42no—
325#92418—24no—
326#92418—42no—
327#11015—611nomaximal, Sylow
328C22×C61—22no—
329C22×C61—22no—
330C22×C61—22no—
331C22×C61—41no—
332C22×C61—41no—
333C22×C61—41no—
334C22×C61—41no—
335C22×C61#38611yescharacteristic
336C22×C61#38611yescharacteristic
337C22×C61#39011yescharacteristic
338C22×C61#39211yescharacteristic
339C22×C61#39411yescharacteristic
340C22×C61#39411yescharacteristic
341C22×C61#39411yescharacteristic
342C2×D61—44no—
343C2×D61—42no—
344C2×D61—82no—
345C2×D61—82no—
346C4×C61—44no—
347C4×C61#37911yescharacteristic
348C4×C61#38611yescharacteristic
349C4×C61#38611yescharacteristic
350C4×C61#39011yescharacteristic
351C4×C61#39211yescharacteristic
352C4×C61#39211yescharacteristic
353C4×C61#39211yescharacteristic
354C4×C61#39411yescharacteristic
355Dic61—42no—
356Dic61—82no—
357C22×#137—611no—
358C2×#421—611no—
359C2×#419—611no—
360C22×#101D6111yescharacteristic, complemented
361#2879—611no—
362C2×#344—611no—
363C2×#338—611no—
364C2×C61—21no—
365C2×C61—21no—
366C2×C61—21no—
367C2×C61—21no—
368C2×C61—21no—
369C2×C61—21no—
370C2×C61#143811yescharacteristic
371C2×C61#190212yes—
372D61—82no—
373C22×#41—611no—
374C23×Q8C2×D6111yescharacteristic
375C2×#137—1222no—
376C2×#137—1222no—
377C2×#137—1222no—
378C2×#137—1222no—
379C2×#137—1222no—
380C2×#137—1222no—
381C22×Q16—612no—
382C22×SD16—612no—
383C22×M16—611no—
384C22×M16—611no—
385C22×M16C2×D6111yescharacteristic
386C22×M16C2×D6111yescharacteristic
387C2×#117—611no—
388#421—1222no—
389#421—1222no—
390C2×#104—1222no—
391#419—1222no—
392#419—1222no—
393C2×#103—1222no—
394C2×#101—22no—
395C2×#101—22no—
396C2×#101—22no—
397#408—1222no—
398#408—1222no—
399#407—1222no—
400#344—1222no—
401#338—1222no—
402C61#1101511yescharacteristic, complemented, Sylow
403C2×#41—612no—
404C2×#41—612no—
405C2×#41—1221no—
406C2×#41—1221no—
407C2×#41—1221no—
408C2×#41—1221no—
409C2×#41—1221no—
410C2×#41—1221no—
411C2×#41—1221no—
412C2×#41—1221no—
413C2×#41—1221no—
414C2×#41—1221no—
415C22×Q8—21no—
416C22×Q8—21no—
417C22×Q8—21no—
418C22×Q8—21no—
419C22×Q8—21no—
420C22×Q8—21no—
421C22×Q8—21no—
422C22×Q8—21no—
423C22×Q8—21no—
424C22×Q8—21no—
425C22×Q8—21no—
426C22×Q8—611no—
427C22×Q8C4×D6112yes—
428C22×Q8D24412yes—
429C22×Q8C22⋊D6112yes—
430C22×D4—611no—
431C22×D4—1221no—
432C23×C4—21no—
433C23×C4—1221no—
434C23×C4C22×D6111yescharacteristic
435#137—1228no—
436#137—1228no—
437#137—1228no—
438#137—1228no—
439C2×Q16—1224no—
440C2×Q16—1224no—
441C2×Q16—1224no—
442C2×SD16—1224no—
443C2×SD16—1224no—
444C2×SD16—1224no—
445C2×M16—21no—
446C2×M16—21no—
447C2×M16—21no—
448C2×M16—21no—
449C2×M16—21no—
450C2×M16—21no—
451C2×M16—21no—
452C2×M16—21no—
453C2×M16—21no—
454C2×M16—21no—
455C2×M16—612no—
456C2×M16—612no—
457C2×M16—1221no—
458C2×M16—1221no—
459C2×M16—1221no—
460C2×M16—1221no—
461C2×M16—1221no—
462C2×M16—1221no—
463C2×M16—1221no—
464C2×M16—1221no—
465C2×M16—1221no—
466C2×M16—1221no—
467C2×M16C22⋊D6112yes—
468C2×M16C22⋊D6112yes—
469C22×C8—21no—
470C22×C8—21no—
471C22×C8—612no—
472C22×C8—612no—
473#117—612no—
474#117—1221no—
475#117—1221no—
476#117—1221no—
477C2×C4⋊C4—1221no—
478C2×C22⋊C4—1221no—
479C2×C42—1221no—
480#104—1228no—
481#103—1228no—
482#101—28no—
483C22⋊C8—1228no—
484C24—1221no—
485C24#1175822211yescharacteristic
486#41—1222no—
487#41—1222no—
488#41—1222no—
489#41—1222no—
490#41—1222no—
491#41—1222no—
492#41—1222no—
493#41—1222no—
494#41—2441no—
495#41—2441no—
496#41—2441no—
497#41—2441no—
498#41—2441no—
499#41—2441no—
500#41—2441no—
501#41—2441no—
502C2×Q8—22no—
503C2×Q8—22no—
504C2×Q8—22no—
505C2×Q8—22no—
506C2×Q8—22no—
507C2×Q8—22no—
508C2×Q8—22no—
509C2×Q8—22no—
510C2×Q8—22no—
511C2×Q8—22no—
512C2×Q8—22no—
513C2×Q8—22no—
514C2×Q8—22no—
515C2×Q8—22no—
516C2×Q8—22no—
517C2×Q8—41no—
518C2×Q8—41no—
519C2×Q8—41no—
520C2×Q8—41no—
521C2×Q8—41no—
522C2×Q8—41no—
523C2×Q8—41no—
524C2×Q8—41no—
525C2×Q8—41no—
526C2×Q8—41no—
527C2×Q8—41no—
528C2×Q8—41no—
529C2×Q8—612no—
530C2×Q8—1221no—
531C2×Q8—1221no—
532C2×Q8—1221no—
533C2×Q8—1221no—
534C2×Q8—1221no—
535C2×Q8#1175819814yes—
536C2×D4—612no—
537C2×D4—1222no—
538C2×D4—1222no—
539C2×D4—1221no—
540C2×D4—1221no—
541C2×D4—1221no—
542C2×D4—1221no—
543C2×D4—1221no—
544C2×D4—2441no—
545C2×D4—2441no—
546C2×D4—2441no—
547C2×D4—2441no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—22no—
551C22×C4—41no—
552C22×C4—41no—
553C22×C4—41no—
554C22×C4—41no—
555C22×C4—1221no—
556C22×C4—1222no—
557C22×C4—1222no—
558C22×C4—2441no—
559C22×C4—2441no—
560C22×C4—2441no—
561C22×C4—2441no—
562C22×C4—2441no—
563C22×C4C2×C4×D6111yescharacteristic
564C22×C4C2×D24411yescharacteristic
565C22×C4#1175822211yescharacteristic
566C22×C4D4×D6111yescharacteristic
567C22×C4D4×D6111yescharacteristic
568C22×C4D4×D6111yescharacteristic
569C22×C4D4×D6111yescharacteristic
570C22×C4D4×D6111yescharacteristic
571C22×C4D4×D6111yescharacteristic
572C22×C4#1175822411yescharacteristic
573C22×C4#1175822411yescharacteristic
574C22×C4C2×C22⋊D6111yescharacteristic
575C22×C4C2×C22⋊D6111yescharacteristic
576C22×C4C2×C22⋊D6111yescharacteristic
577Q16—12216no—
578SD16—12216no—
579M16—22no—
580M16—22no—
581M16—22no—
582M16—22no—
583M16—41no—
584M16—41no—
585M16—41no—
586M16—41no—
587M16—1222no—
588M16—1222no—
589M16—1222no—
590M16—1222no—
591M16—2441no—
592M16—2441no—
593M16—2441no—
594M16—2441no—
595C2×C8—22no—
596C2×C8—22no—
597C2×C8—41no—
598C2×C8—41no—
599C2×C8—41no—
600C2×C8—41no—
601C2×C8—614no—
602C2×C8—1222no—
603C2×C8—1222no—
604C2×C8—1222no—
605C2×C8—1222no—
606C2×C8—1222no—
607C4⋊C4—1222no—
608C4⋊C4—2441no—
609C22⋊C4—1222no—
610C22⋊C4—2441no—
611C42—1222no—
612C42—2441no—
613C23—42no—
614C23—1222no—
615C23—4882no—
616C23—2441no—
617C23—2441no—
618C23C4×C22⋊D6111yescharacteristic
619C23#1451975011yescharacteristic
620C23#1451975011yescharacteristic
621C23#1451975111yescharacteristic
622C23#1451975911yescharacteristic
623C23#1451976011yescharacteristic
624C23#1451976311yescharacteristic
625Q8—24no—
626Q8—24no—
627Q8—42no—
628Q8—42no—
629Q8—42no—
630Q8—42no—
631Q8—42no—
632Q8—42no—
633Q8—1222no—
634Q8—1222no—
635Q8—2441no—
636Q8—2441no—
637D4—1222no—
638D4—1222no—
639D4—2442no—
640D4—2442no—
641D4—2442no—
642D4—2442no—
643D4—2441no—
644D4—2441no—
645C2×C4—24no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—1222no—
653C2×C4—4882no—
654C2×C4—2442no—
655C2×C4—2441no—
656C2×C4—2441no—
657C2×C4—2442no—
658C2×C4—2442no—
659C2×C4—2442no—
660C2×C4—2442no—
661C2×C4C22⋊C4×D6111yescharacteristic
662C2×C4C22⋊C4×D6111yescharacteristic
663C2×C4C2×#1175819811yescharacteristic
664C2×C4#1451973711yescharacteristic
665C2×C4#1451973711yescharacteristic
666C2×C4C4×C22⋊D6111yescharacteristic
667C2×C4#1451974511yescharacteristic
668C2×C4#1451974511yescharacteristic
669C2×C4#1451974511yescharacteristic
670C2×C4#1451974511yescharacteristic
671C2×C4#1451974611yescharacteristic
672C2×C4#1451974711yescharacteristic
673C2×C4#1451974711yescharacteristic
674C2×C4#1451974711yescharacteristic
675C2×C4#1451974811yescharacteristic
676C2×C4#1451974811yescharacteristic
677C2×C4#1451974911yescharacteristic
678C2×C4#1451974911yescharacteristic
679C2×C4#1451974911yescharacteristic
680C2×C4#1451974911yescharacteristic
681C2×C4#1451975011yescharacteristic
682C2×C4#1451975011yescharacteristic
683C2×C4#1451975111yescharacteristic
684C2×C4#1451975911yescharacteristic
685C2×C4#1451976111yescharacteristic
686C2×C4#1451976311yescharacteristic
687C2×C4#1451977311yescharacteristic
688C2×C4#1451977311yescharacteristic
689C8—42no—
690C8—42no—
691C8—1224no—
692C8—2442no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—4882no—
701C22—4882no—
702C22—2444no—
703C22—2442no—
704C22#1683963811yescharacteristic
705C22#1683964111yescharacteristic
706C22#1683966211yescharacteristic
707C22#1683967111yescharacteristic
708C22#1683967711yescharacteristic
709C22#1683967711yescharacteristic
710C22#1683967811yescharacteristic
711C4—44no—
712C4—4882no—
713C4—2442no—
714C4#1683961711yescharacteristic
715C4#1683963811yescharacteristic
716C4#1683963911yescharacteristic
717C4#1683966211yescharacteristic
718C4#1683967011yescharacteristic
719C4#1683967011yescharacteristic
720C4#1683967111yescharacteristic
721C4#1683967811yescharacteristic
722C2—21no—
723C2—21no—
724C2—21no—
725C2—21no—
726C2—21no—
727C2—21no—
728C2—4882no—
729C2#2144405811yescharacteristic
730C2#2144629512yes—
subgroupG/H
centerC22#16839638
commutatorC22×C4×C61C22×C4
FrattiniC23×C4C22×D61
FittingC22×#101×C61C2
socleC22×C61#386
prime radicalC22×#11758222C22
cosocleC23×C4×C61C23
hypercenterC22×#101D61
hypocenterC61#11015
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×#101

Complements

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

NH ≅ G/Ntype
3. C2×#16839771C2semidirect
5. C2×#16839534C2semidirect
6. C2×#16839520C2semidirect
7. C22×#101×C61C2semidirect
15. C22×#11758202C4semidirect
16. C22×#11758201C4semidirect
360. C22×#101D61semidirect
402. C61#11015semidirect

Maximal subgroups

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

subgroupindex
C22×#145198082
C2×#168397782
C2×#168397712
#214542632
C2×#168395342
C2×#168395202
C22×#101×C612
#1101561