Finite Group Databasebeta

← #29706940

Subgroups — #29706940

Order 15616.

1954 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519807C211yesmaximal, characteristic, complemented
2C2×#16840333C211yesmaximal, characteristic, complemented
3C2×#16839779C211yesmaximal, characteristic, complemented
4C2×#16839770C211yesmaximal, characteristic, complemented
5C2×#16839746C211yesmaximal, characteristic, complemented
6#21446853C214yesmaximal, complemented
7#21446846C214yesmaximal, complemented
8#21445528C211yesmaximal, characteristic, complemented
9C61×#3449C211yesmaximal, characteristic
10C23×Dic122C2211yescharacteristic
11C2×#14519807—24no—
12C2×#14519807—22no—
13C2×#14519807—24no—
14C2×#14519807C2214yes—
15C22×#11758202—21no—
16C22×#11758200—21no—
17C22×#11758194C2211yescharacteristic
18C22×#11758194C2211yescharacteristic
19#16840333—24no—
20#16840333—24no—
21C2×#14519775C2212yescomplemented
22C2×#14519764C2212yescomplemented
23C2×#14519758—22no—
24C2×#14519756—22no—
25C2×#14519736C2211yescharacteristic
26#16839779—24no—
27C2×#14519704C2214yes—
28#16839770—22no—
29#16839770C2214yescomplemented
30C2×#14519700—22no—
31#16839746—24no—
32C2×#14519696C2212yescomplemented
33C2×#14519694C2212yescomplemented
34#16839521C2214yescomplemented
35C22×#41×C61C2211yescharacteristic
36C22×#41×C61C2211yescharacteristic
37C61×#537—22no—
38C61×#536—21no—
39C61×#536C2212yes—
40C61×#535—21no—
41C61×#535C2212yes—
42C61×#534—22no—
43C61×#532—22no—
44C61×#525—22no—
45C61×#525—22no—
46C2×#117×C61C2211yescharacteristic
47C22×Dic122—21no—
48C22×Dic122—21no—
49C22×Dic122—21no—
50C22×Dic122—22no—
51C22×Dic122—21no—
52C22×Dic122—22no—
53C22×Dic122—21no—
54C22×Dic122—22no—
55C22×Dic122D414yescomplemented
56C22×Dic122C2312yes—
57C23×Dic61—21no—
58#14519807—216no—
59#14519807—28no—
60#14519807—28no—
61C2×#11758202—28no—
62C2×#11758202—24no—
63C2×#11758200—28no—
64C2×#11758200—24no—
65C2×#11758194—22no—
66C2×#11758194—21no—
67C2×#11758194—21no—
68C2×#11758194—22no—
69C2×#11758194—22no—
70C2×#11758194D414yescomplemented
71C2×#11758194C2312yes—
72C2×#11758194C2312yes—
73C22×#92418—21no—
74C22×#92418—21no—
75#14519775—24no—
76#14519775—24no—
77#14519764—24no—
78#14519764—24no—
79#14519758—216no—
80#14519756—216no—
81#14519736—22no—
82#14519736D414yescomplemented
83C2×C4⋊Dic61—21no—
84C2×#11758196—24no—
85C2×C22⋊Dic61—21no—
86C2×C22⋊Dic61—24no—
87C2×C4×Dic61C2312yes—
88#14519704—28no—
89#14519700—28no—
90#14519696—24no—
91#14519694—24no—
92C2×#41×C61—21no—
93C2×#41×C61—21no—
94C2×#41×C61—21no—
95C2×#41×C61—21no—
96C2×#41×C61—22no—
97C2×#41×C61—22no—
98C2×#41×C61—22no—
99C2×#41×C61—21no—
100C2×#41×C61—21no—
101C2×#41×C61—22no—
102C2×#41×C61—22no—
103C2×#41×C61—22no—
104C2×#41×C61—22no—
105C2×#41×C61—22no—
106C2×#41×C61D412yes—
107C2×#41×C61C2312yes—
108C22×Q8×C61D411yescharacteristic
109C22×Q8×C61C2311yescharacteristic
110C22×D4×C61—21no—
111C22×D4×C61D412yes—
112C22×D4×C61D411yescharacteristic
113C22×D4×C61C2311yescharacteristic
114C23×C4×C61—21no—
115C23×C4×C61D412yes—
116C23×C4×C61C2311yescharacteristic
117C4⋊Q8×C61—22no—
118#127×C61—22no—
119#124×C61—22no—
120#124×C61—22no—
121#123×C61—24no—
122#123×C61—24no—
123C22⋊Q8×C61—24no—
124C22⋊Q8×C61—24no—
125#121×C61—28no—
126#121×C61—24no—
127#121×C61—24no—
128#120×C61—24no—
129#120×C61—24no—
130C4×D4×C61—28no—
131#117×C61—21no—
132#117×C61—21no—
133#117×C61D412yes—
134#117×C61C2312yes—
135C2×C4⋊C4×C61D412yes—
136C2×C22⋊C4×C61—21no—
137C2×C42×C61—21no—
138C24×C61—21no—
139C24×C61C2×D412yes—
140C24×C61C2×D411yescharacteristic
141#41×C61—24no—
142#41×C61—24no—
143#41×C61—22no—
144#41×C61—22no—
145#41×C61—22no—
146#41×C61—22no—
147#41×C61—42no—
148#41×C61—42no—
149#41×C61—42no—
150#41×C61—42no—
151#41×C61—42no—
152#41×C61—42no—
153#41×C61—42no—
154#41×C61—42no—
155#41×C61—42no—
156#41×C61—42no—
157#41×C61—42no—
158#41×C61—42no—
159C2×Q8×C61—21no—
160C2×Q8×C61—21no—
161C2×Q8×C61—21no—
162C2×Q8×C61—21no—
163C2×Q8×C61—21no—
164C2×Q8×C61—21no—
165C2×Q8×C61—21no—
166C2×Q8×C61—22no—
167C2×Q8×C61—22no—
168C2×Q8×C61C2×D412yes—
169C2×D4×C61—22no—
170C2×D4×C61—22no—
171C2×D4×C61—22no—
172C2×D4×C61—24no—
173C2×D4×C61—24no—
174C2×D4×C61—22no—
175C2×D4×C61—28no—
176C2×D4×C61—22no—
177C2×D4×C61—21no—
178C2×D4×C61—22no—
179C2×D4×C61—21no—
180C2×D4×C61—21no—
181C2×D4×C61—21no—
182C2×D4×C61—21no—
183C2×D4×C61—21no—
184C2×D4×C61—21no—
185C2×D4×C61—42no—
186C2×D4×C61—42no—
187C2×D4×C61C2×D412yes—
188C22×C4×C61—21no—
189C22×C4×C61—22no—
190C22×C4×C61—22no—
191C22×C4×C61—22no—
192C22×C4×C61—22no—
193C22×C4×C61—24no—
194C22×C4×C61—24no—
195C22×C4×C61—22no—
196C22×C4×C61—42no—
197C22×C4×C61—42no—
198C22×C4×C61C2×D412yes—
199C22×C4×C61C2×D411yescharacteristic
200C22×C4×C61C2×D412yes—
201C22×C4×C61C2×D411yescharacteristic
202C22×C4×C61C2×D411yescharacteristic
203C22×C4×C61C2×D412yes—
204C22×C4×C61C2×D412yes—
205C22×C4×C61C2×D411yescharacteristic
206C22×C4×C61C2×D411yescharacteristic
207C22×C4×C61#4112yes—
208C22×C4×C61C2411yescharacteristic
209C22×Dic61—24no—
210C22×Dic61—22no—
211C22×Dic61—22no—
212C22×Dic61—41no—
213C22×Dic61—41no—
214C22×Dic61—42no—
215C2×Dic122—24no—
216C2×Dic122—24no—
217C2×Dic122—24no—
218C2×Dic122—24no—
219C2×Dic122—22no—
220C2×Dic122—22no—
221C2×Dic122—22no—
222C2×Dic122—22no—
223C2×Dic122—24no—
224C2×Dic122—22no—
225C2×Dic122—41no—
226C2×Dic122—41no—
227C2×Dic122—42no—
228C2×Dic122—42no—
229C2×Dic122—42no—
230C2×Dic122—42no—
231C2×Dic122—42no—
232C2×Dic122C2×D414yes—
233C4⋊C4×C61—28no—
234C4⋊C4×C61—22no—
235C4⋊C4×C61C2×D414yes—
236C22⋊C4×C61—28no—
237C22⋊C4×C61—28no—
238C22⋊C4×C61—22no—
239C22⋊C4×C61—22no—
240C42×C61—22no—
241C42×C61—22no—
242C22⋊Dic61—216no—
243C22⋊Dic61—24no—
244#11758202—216no—
245#11758200—216no—
246C4⋊Dic61—24no—
247#11758196—216no—
248C4×Dic61—22no—
249C4×Dic61C2×D414yes—
250#11758194—24no—
251#11758194—22no—
252#11758194—22no—
253#11758194—22no—
254#11758194—42no—
255#11758194C2×D414yes—
256C2×#92418—24no—
257C2×#92418—22no—
258C2×#92418—22no—
259C2×#92418—42no—
260C23×C61—22no—
261C23×C61—22no—
262C23×C61—22no—
263C23×C61—22no—
264C23×C61—42no—
265C23×C61—44no—
266C23×C61—42no—
267C23×C61—82no—
268C23×C61#12011yescharacteristic
269C23×C61#12011yescharacteristic
270C23×C61#12012yes—
271C23×C61#12112yes—
272C23×C61C22×D411yescharacteristic
273Q8×C61—22no—
274Q8×C61—22no—
275Q8×C61—41no—
276Q8×C61—41no—
277Q8×C61—41no—
278Q8×C61—41no—
279Q8×C61—42no—
280D4×C61—22no—
281D4×C61—22no—
282D4×C61—42no—
283D4×C61—42no—
284D4×C61—44no—
285D4×C61—44no—
286D4×C61—44no—
287D4×C61—41no—
288D4×C61—41no—
289D4×C61—41no—
290D4×C61—41no—
291D4×C61—42no—
292D4×C61—88no—
293C2×C4×C61—22no—
294C2×C4×C61—24no—
295C2×C4×C61—22no—
296C2×C4×C61—22no—
297C2×C4×C61—22no—
298C2×C4×C61—42no—
299C2×C4×C61—42no—
300C2×C4×C61—42no—
301C2×C4×C61—44no—
302C2×C4×C61—44no—
303C2×C4×C61—44no—
304C2×C4×C61—82no—
305C2×C4×C61#12012yes—
306C2×C4×C61#12012yes—
307C2×C4×C61#12012yes—
308C2×C4×C61#12011yescharacteristic
309C2×C4×C61#12011yescharacteristic
310C2×C4×C61#12112yes—
311C2×C4×C61#12112yes—
312C2×C4×C61#12112yes—
313C2×C4×C61#12112yes—
314C2×C4×C61#12112yes—
315C2×C4×C61#12712yes—
316C2×C4×C61#12712yes—
317C2×C4×C61C22×D411yescharacteristic
318C2×C4×C61C22×D411yescharacteristic
319C2×C4×C61C22×D411yescharacteristic
320C2×C4×C61C22×D411yescharacteristic
321C2×C4×C61C22×D411yescharacteristic
322C2×C4×C61C2×#4111yescharacteristic
323C2×Dic61—24no—
324C2×Dic61—24no—
325C2×Dic61—44no—
326C2×Dic61—42no—
327C2×Dic61—42no—
328C2×Dic61—44no—
329C2×Dic61—44no—
330Dic122—24no—
331Dic122—24no—
332Dic122—42no—
333Dic122—42no—
334Dic122—44no—
335Dic122—44no—
336#92418—24no—
337#92418—42no—
338#23401—611nomaximal, Sylow
339C22×C61—22no—
340C22×C61—22no—
341C22×C61—22no—
342C22×C61—42no—
343C22×C61—42no—
344C22×C61—44no—
345C22×C61—42no—
346C22×C61—42no—
347C22×C61—44no—
348C22×C61—44no—
349C22×C61—82no—
350C22×C61—84no—
351C22×C61#39212yes—
352C22×C61#39212yes—
353C22×C61C2×#12011yescharacteristic
354C22×C61C2×#12011yescharacteristic
355C22×C61C2×#12111yescharacteristic
356C4×C61—42no—
357C4×C61—42no—
358C4×C61—44no—
359C4×C61#39212yes—
360C4×C61#39212yes—
361C4×C61C2×#12011yescharacteristic
362C4×C61C2×#12111yescharacteristic
363C4×C61C2×#12111yescharacteristic
364C4×C61C2×#12711yescharacteristic
365Dic61—44no—
366Dic61—44no—
367C22×#137—611no—
368#3449D6111yescharacteristic
369C2×#536—611no—
370C2×#421—611no—
371C2×#419—611no—
372C2×#413—611no—
373#2005—614no—
374#2004—614no—
375#1733—611no—
376C2×C61—21no—
377C2×C61—21no—
378C2×C61—22no—
379C2×C61—22no—
380C2×C61—82no—
381C2×C61—82no—
382C2×C61C2×#39211yescharacteristic
383C2×C61#302212yes—
384C22×#41C2×D6111yescharacteristic
385C22×#41C2×D6111yescharacteristic
386C23×Q8—611no—
387C2×#137—614no—
388C2×#137—1224no—
389C2×#137—1224no—
390C2×#137—1222no—
391C22×Q16—1221no—
392C22×SD16—1221no—
393C22×M16—611no—
394C22×M16—611no—
395#537—22no—
396#536—21no—
397#536—1224no—
398#536—1224no—
399#536C2×D6112yes—
400#535—21no—
401#535C2×D6112yes—
402#534—22no—
403#532—22no—
404C2×C4⋊Q8—612no—
405C2×#124—612no—
406#525—22no—
407#525—22no—
408C2×#123—1222no—
409C2×C22⋊Q8—1222no—
410C2×#117—611no—
411C2×#117C2×D6111yescharacteristic
412#421—1224no—
413C2×#104—614no—
414#419—614no—
415#419—1222no—
416C2×#103—1222no—
417#413—1224no—
418C2×#101—612no—
419C2×#100—612no—
420#339—614no—
421C61#2340111yescharacteristic, complemented, Sylow
422C2×#41—22no—
423C2×#41—22no—
424C2×#41—22no—
425C2×#41—22no—
426C2×#41—21no—
427C2×#41—21no—
428C2×#41—21no—
429C2×#41—21no—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—22no—
433C2×#41—22no—
434C2×#41—22no—
435C2×#41—22no—
436C2×#41C22⋊D6112yes—
437C2×#41C22×D6112yes—
438C22×Q8—614no—
439C22×Q8—612no—
440C22×Q8—1222no—
441C22×Q8—1221no—
442C22×Q8—1222no—
443C22×Q8—1222no—
444C22×Q8—1221no—
445C22×Q8—1221no—
446C22×Q8—1221no—
447C22×Q8—1221no—
448C22×Q8C22⋊D6111yescharacteristic
449C22×Q8C22×D6111yescharacteristic
450C22×D4—21no—
451C22×D4C22⋊D6112yes—
452C22×D4C22⋊D6111yescharacteristic
453C22×D4C22×D6111yescharacteristic
454C23×C4—21no—
455C23×C4—1221no—
456C23×C4C22⋊D6112yes—
457C23×C4C22×D6111yescharacteristic
458#137—1228no—
459#137—1228no—
460#137—12216no—
461C2×Q16—1228no—
462C2×Q16—1224no—
463C2×SD16—1228no—
464C2×SD16—1224no—
465C2×M16—614no—
466C2×M16—612no—
467C2×M16—612no—
468C2×M16—1222no—
469C2×M16—1221no—
470C2×M16—1221no—
471C2×M16—1222no—
472C2×M16—1222no—
473C22×C8—1221no—
474C22×C8—1221no—
475C4⋊Q8—22no—
476C4⋊Q8—1224no—
477C4⋊Q8—1224no—
478#127—22no—
479#124—22no—
480#124—22no—
481#124—1224no—
482#124—1224no—
483#123—24no—
484#123—24no—
485#123—12216no—
486C22⋊Q8—24no—
487C22⋊Q8—24no—
488C22⋊Q8—12216no—
489#121—24no—
490#121—28no—
491#121—24no—
492#120—24no—
493#120—24no—
494C4×D4—28no—
495#117—21no—
496#117—21no—
497#117—614no—
498#117—1222no—
499#117C22⋊D6112yes—
500#117C22×D6112yes—
501C2×C4⋊C4—1221no—
502C2×C4⋊C4—1224no—
503C2×C4⋊C4C22⋊D6112yes—
504C2×C22⋊C4—21no—
505C2×C22⋊C4—1221no—
506C2×C22⋊C4—1224no—
507C2×C42—21no—
508C2×C42—612no—
509#104—1228no—
510#103—1228no—
511#101—1224no—
512#100—1224no—
513C24—21no—
514C24C2×C22⋊D6112yes—
515C24C2×C22⋊D6111yescharacteristic
516#41—22no—
517#41—22no—
518#41—22no—
519#41—22no—
520#41—24no—
521#41—24no—
522#41—42no—
523#41—42no—
524#41—42no—
525#41—42no—
526#41—42no—
527#41—42no—
528#41—42no—
529#41—42no—
530#41—42no—
531#41—42no—
532#41—42no—
533#41—42no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—22no—
542C2×Q8—22no—
543C2×Q8—614no—
544C2×Q8—1222no—
545C2×Q8—1224no—
546C2×Q8—1222no—
547C2×Q8—1222no—
548C2×Q8—1222no—
549C2×Q8—1222no—
550C2×Q8—1224no—
551C2×Q8—1224no—
552C2×Q8—1224no—
553C2×Q8—1224no—
554C2×Q8—2441no—
555C2×Q8—2441no—
556C2×Q8—2442no—
557C2×Q8—2442no—
558C2×Q8—2442no—
559C2×Q8—2442no—
560C2×Q8—2442no—
561C2×Q8C2×C22⋊D6112yes—
562C2×D4—22no—
563C2×D4—24no—
564C2×D4—22no—
565C2×D4—22no—
566C2×D4—22no—
567C2×D4—24no—
568C2×D4—28no—
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—21no—
572C2×D4—21no—
573C2×D4—21no—
574C2×D4—21no—
575C2×D4—22no—
576C2×D4—21no—
577C2×D4—22no—
578C2×D4—42no—
579C2×D4—42no—
580C2×D4C2×C22⋊D6112yes—
581C22×C4—21no—
582C22×C4—22no—
583C22×C4—22no—
584C22×C4—24no—
585C22×C4—22no—
586C22×C4—22no—
587C22×C4—22no—
588C22×C4—24no—
589C22×C4—42no—
590C22×C4—42no—
591C22×C4—1222no—
592C22×C4—1222no—
593C22×C4—1224no—
594C22×C4—2441no—
595C22×C4—2441no—
596C22×C4—2442no—
597C22×C4D4×D6112yes—
598C22×C4D4×D6112yes—
599C22×C4D4×D6112yes—
600C22×C4#1175822412yes—
601C22×C4C2×C22⋊D6112yes—
602C22×C4C2×C22⋊D6111yescharacteristic
603C22×C4C2×C22⋊D6111yescharacteristic
604C22×C4C2×C22⋊D6111yescharacteristic
605C22×C4C2×C22⋊D6111yescharacteristic
606C22×C4C2×C22⋊D6111yescharacteristic
607C22×C4C23×D6111yescharacteristic
608Q16—12216no—
609SD16—12216no—
610M16—614no—
611M16—1222no—
612M16—1224no—
613M16—1222no—
614M16—1222no—
615M16—2442no—
616C2×C8—1222no—
617C2×C8—1224no—
618C2×C8—1222no—
619C2×C8—2442no—
620C4⋊C4—28no—
621C4⋊C4—22no—
622C4⋊C4—12216no—
623C4⋊C4—1224no—
624C4⋊C4C2×C22⋊D6114yes—
625C22⋊C4—28no—
626C22⋊C4—28no—
627C22⋊C4—22no—
628C22⋊C4—22no—
629C22⋊C4—12216no—
630C22⋊C4—1224no—
631C42—22no—
632C42—22no—
633C42—614no—
634C42—1222no—
635C23—22no—
636C23—22no—
637C23—22no—
638C23—22no—
639C23—42no—
640C23—44no—
641C23—42no—
642C23—82no—
643C23#1451974512yes—
644C23#1451974611yescharacteristic
645C23#1451974611yescharacteristic
646C23#1451974912yes—
647C23C22×C22⋊D6111yescharacteristic
648Q8—22no—
649Q8—22no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—41no—
654Q8—42no—
655Q8—1224no—
656Q8—1224no—
657Q8—2442no—
658Q8—2442no—
659Q8—2444no—
660Q8—2444no—
661D4—22no—
662D4—22no—
663D4—42no—
664D4—42no—
665D4—44no—
666D4—44no—
667D4—44no—
668D4—41no—
669D4—41no—
670D4—41no—
671D4—41no—
672D4—42no—
673D4—88no—
674C2×C4—22no—
675C2×C4—24no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—82no—
686C2×C4—1224no—
687C2×C4—1224no—
688C2×C4—2444no—
689C2×C4—2442no—
690C2×C4—2442no—
691C2×C4—2444no—
692C2×C4—2444no—
693C2×C4#1451974512yes—
694C2×C4#1451974512yes—
695C2×C4#1451974512yes—
696C2×C4#1451974611yescharacteristic
697C2×C4#1451974611yescharacteristic
698C2×C4#1451974812yes—
699C2×C4#1451974812yes—
700C2×C4#1451974912yes—
701C2×C4#1451974912yes—
702C2×C4#1451974912yes—
703C2×C4#1451977312yes—
704C2×C4#1451977312yes—
705C2×C4C2×D4×D6111yescharacteristic
706C2×C4C2×D4×D6111yescharacteristic
707C2×C4C2×D4×D6111yescharacteristic
708C2×C4C22×C22⋊D6111yescharacteristic
709C2×C4C22×C22⋊D6111yescharacteristic
710C2×C4C2×#1175822411yescharacteristic
711C8—1224no—
712C8—2442no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—42no—
717C22—42no—
718C22—44no—
719C22—42no—
720C22—42no—
721C22—44no—
722C22—44no—
723C22—82no—
724C22—84no—
725C22#1683967012yes—
726C22#1683967012yes—
727C22C2×#1451974511yescharacteristic
728C22C2×#1451974611yescharacteristic
729C22C2×#1451974911yescharacteristic
730C4—42no—
731C4—42no—
732C4—44no—
733C4—2444no—
734C4—2444no—
735C4#1683967012yes—
736C4#1683967012yes—
737C4C2×#1451974511yescharacteristic
738C4C2×#1451974811yescharacteristic
739C4C2×#1451974911yescharacteristic
740C4C2×#1451977311yescharacteristic
741C2—21no—
742C2—21no—
743C2—22no—
744C2—22no—
745C2—82no—
746C2—82no—
747C2C2×#1683967011yescharacteristic
748C2#2145519812yes—
subgroupG/H
centerC22C2×#14519746
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
Fitting, prime radicalC61×#3449C2
socleC22×C61C2×#120
hypercenter#3449D61
hypocenterC61#23401
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3449

Complements

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

NH ≅ G/Ntype
1. C22×#14519807C2semidirect
2. C2×#16840333C2semidirect
3. C2×#16839779C2semidirect
4. C2×#16839770C2semidirect
5. C2×#16839746C2semidirect
6. #21446853C2semidirect
7. #21446846C2semidirect
8. #21445528C2semidirect
21. C2×#14519775C22semidirect
22. C2×#14519764C22semidirect
29. #16839770C22semidirect
32. C2×#14519696C22semidirect
33. C2×#14519694C22semidirect
34. #16839521C22semidirect
55. C22×Dic122D4semidirect
70. C2×#11758194D4semidirect
82. #14519736D4semidirect
421. C61#23401semidirect

Maximal subgroups

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

subgroupindex
C22×#145198072
C2×#168403332
C2×#168397792
C2×#168397702
C2×#168397462
#214468532
#214468462
#214455282
C61×#34492
#2340161