Finite Group Databasebeta

← #29706957

Subgroups — #29706957

Order 15616.

1942 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840560C211yesmaximal, characteristic
2C2×#16840336C211yesmaximal, characteristic, complemented
3C2×#16839779C211yesmaximal, characteristic, complemented
4#21454336C211yesmaximal, characteristic, complemented
5C22×#14519696C211yesmaximal, characteristic, complemented
6#21446853C214yesmaximal, complemented
7#21446839C214yesmaximal, complemented
8#21445528C211yesmaximal, characteristic, complemented
9C2×C61×#536C211yesmaximal, characteristic, complemented
10C22×#11758222C2211yescharacteristic
11#16840560—24no—
12#16840560—24no—
13C2×#14519808—21no—
14C2×#14519807C2212yes—
15C2×#14519803—21no—
16C2×#14519802C2212yes—
17C2×#14519797—22no—
18C22×#11758194C2211yescharacteristic
19C22×#11758194C2211yescharacteristic
20#16840336—24no—
21#16840336—24no—
22C2×#14519775C2212yescomplemented
23C2×#14519766C2212yescomplemented
24C2×#14519760—22no—
25C2×#14519753—22no—
26C2×#14519736C2211yescharacteristic
27#16839779—24no—
28C2×#14519704C2214yes—
29#16839770C2212yescomplemented
30#16839766C2212yescomplemented
31#16839761—22no—
32#16839756—22no—
33C2×#14519696—24no—
34C2×#14519696C2214yescomplemented
35#16839521C2214yescomplemented
36C22×#41×C61C2211yescharacteristic
37C23×Q8×C61C2211yescharacteristic
38C61×#536—22no—
39C61×#536—22no—
40C61×#536—22no—
41C61×#536C2214yes—
42C2×C4⋊Q8×C61—21no—
43C2×#124×C61—21no—
44C2×#123×C61—22no—
45C2×C22⋊Q8×C61—22no—
46C2×#117×C61C2211yescharacteristic
47C2×#11758222—22no—
48C2×#11758222—21no—
49C2×#11758222—21no—
50C2×#11758222—21no—
51C2×#11758222—21no—
52C2×#11758222—22no—
53C2×#11758222—22no—
54C2×#11758222D414yes—
55C22×Dic122C2311yescharacteristic
56C22×D244C2311yescharacteristic
57C22×C22⋊D61—21no—
58C22×C4×D61—21no—
59#14519808—28no—
60#14519807—24no—
61#14519807—24no—
62#14519803—28no—
63#14519802—24no—
64#14519802—24no—
65#14519797—216no—
66C2×#11758202—22no—
67C2×#11758200—22no—
68C2×#11758201—22no—
69C2×#11758199—22no—
70C2×#11758194—21no—
71C2×#11758194—22no—
72C2×#11758194—21no—
73C2×#11758194—22no—
74C2×#11758194—22no—
75C2×#11758194D414yes—
76C2×#11758194C2312yes—
77C2×#11758194C2312yes—
78C22×#92418—21no—
79C22×#92418—21no—
80#14519775—24no—
81#14519775—24no—
82#14519766—24no—
83#14519766—24no—
84#14519760—216no—
85#14519753—216no—
86#14519736—22no—
87#14519736D414yes—
88C2×C4⋊Dic61—21no—
89C2×#11758196—24no—
90C2×C22⋊Dic61—21no—
91C2×#11758198—24no—
92C2×C4×Dic61C2312yes—
93#14519704—28no—
94#14519700—24no—
95#14519697—24no—
96#14519696—28no—
97C2×#41×C61—21no—
98C2×#41×C61—21no—
99C2×#41×C61—22no—
100C2×#41×C61—22no—
101C2×#41×C61—22no—
102C2×#41×C61—22no—
103C2×#41×C61D412yes—
104C2×#41×C61C2312yes—
105C22×Q8×C61—21no—
106C22×Q8×C61—21no—
107C22×Q8×C61—21no—
108C22×Q8×C61—22no—
109C22×Q8×C61—22no—
110C22×Q8×C61—22no—
111C22×Q8×C61—21no—
112C22×Q8×C61—22no—
113C22×Q8×C61D411yescharacteristic
114C22×Q8×C61D412yes—
115C22×Q8×C61C2312yes—
116C22×D4×C61—21no—
117C22×D4×C61D411yescharacteristic
118C23×C4×C61—21no—
119C23×C4×C61D412yes—
120C23×C4×C61C2311yescharacteristic
121C4⋊Q8×C61—24no—
122C4⋊Q8×C61—24no—
123#124×C61—24no—
124#124×C61—24no—
125#123×C61—28no—
126#123×C61—28no—
127C22⋊Q8×C61—28no—
128C22⋊Q8×C61—28no—
129#117×C61—21no—
130#117×C61—21no—
131#117×C61D412yes—
132#117×C61C2312yes—
133C2×C4⋊C4×C61—24no—
134C2×C4⋊C4×C61D412yes—
135C2×C22⋊C4×C61—24no—
136C2×C22⋊C4×C61—21no—
137C2×C42×C61—21no—
138C24×C61—21no—
139C24×C61C2×D411yescharacteristic
140C23×D61—21no—
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—
151C2×Q8×C61—22no—
152C2×Q8×C61—22no—
153C2×Q8×C61—21no—
154C2×Q8×C61—24no—
155C2×Q8×C61—24no—
156C2×Q8×C61—22no—
157C2×Q8×C61—22no—
158C2×Q8×C61—22no—
159C2×Q8×C61—22no—
160C2×Q8×C61—22no—
161C2×Q8×C61—22no—
162C2×Q8×C61—22no—
163C2×Q8×C61—22no—
164C2×Q8×C61—42no—
165C2×Q8×C61—42no—
166C2×Q8×C61—42no—
167C2×Q8×C61—42no—
168C2×Q8×C61—42no—
169C2×Q8×C61—42no—
170C2×Q8×C61—42no—
171C2×Q8×C61—42no—
172C2×Q8×C61C2×D412yes—
173C2×D4×C61—22no—
174C2×D4×C61—22no—
175C2×D4×C61—22no—
176C2×D4×C61—21no—
177C2×D4×C61—22no—
178C2×D4×C61—42no—
179C2×D4×C61—42no—
180C2×D4×C61C2×D412yes—
181C22×C4×C61—22no—
182C22×C4×C61—22no—
183C22×C4×C61—21no—
184C22×C4×C61—22no—
185C22×C4×C61—24no—
186C22×C4×C61—24no—
187C22×C4×C61—22no—
188C22×C4×C61—22no—
189C22×C4×C61—42no—
190C22×C4×C61—42no—
191C22×C4×C61C2×D414yes—
192C22×C4×C61C2×D411yescharacteristic
193C22×C4×C61C2×D412yes—
194C22×C4×C61C2×D411yescharacteristic
195C22×C4×C61C2×D411yescharacteristic
196C22×C4×C61C2×D412yes—
197C22×C4×C61C2×D412yes—
198C22×C4×C61C2×D411yescharacteristic
199C22×C4×C61C2×D411yescharacteristic
200C22×C4×C61#4112yes—
201C22×C4×C61C2411yescharacteristic
202C2×C22⋊D61—24no—
203C2×C22⋊D61—41no—
204C2×C22⋊D61—41no—
205C2×C22⋊D61—42no—
206C22×Dic61—21no—
207C22×Dic61—22no—
208#11758222—24no—
209#11758222—24no—
210#11758222—24no—
211#11758222—24no—
212#11758222—42no—
213#11758222—42no—
214#11758222—42no—
215#11758222—42no—
216C2×D244—21no—
217C2×D244—21no—
218C2×D244—21no—
219C2×D244—21no—
220C2×D244—21no—
221C2×D244C2×D412yes—
222C2×C4×D61—24no—
223C2×C4×D61—41no—
224C2×C4×D61—41no—
225C2×C4×D61—42no—
226C2×Dic122—21no—
227C2×Dic122—21no—
228C2×Dic122—21no—
229C2×Dic122—21no—
230C2×Dic122—21no—
231C2×Dic122C2×D412yes—
232C4⋊C4×C61—216no—
233C4⋊C4×C61—22no—
234C4⋊C4×C61C2×D414yes—
235C22⋊C4×C61—216no—
236C22⋊C4×C61—22no—
237C22⋊C4×C61—22no—
238C42×C61—22no—
239C42×C61—22no—
240C22⋊Dic61—24no—
241#11758202—28no—
242#11758201—28no—
243#11758200—28no—
244#11758199—28no—
245#11758198—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—42no—
262C23×C61—44no—
263C23×C61—42no—
264C23×C61#12011yescharacteristic
265C23×C61#12011yescharacteristic
266C23×C61#12012yes—
267C23×C61#12112yes—
268C23×C61C22×D411yescharacteristic
269C22×D61—22no—
270C22×D61—44no—
271C22×D61—41no—
272C22×D61—41no—
273Q8×C61—22no—
274Q8×C61—22no—
275Q8×C61—42no—
276Q8×C61—42no—
277Q8×C61—42no—
278Q8×C61—42no—
279Q8×C61—44no—
280Q8×C61—44no—
281Q8×C61—42no—
282D4×C61—22no—
283D4×C61—22no—
284D4×C61—42no—
285D4×C61—42no—
286D4×C61—44no—
287D4×C61—42no—
288C2×C4×C61—24no—
289C2×C4×C61—24no—
290C2×C4×C61—24no—
291C2×C4×C61—22no—
292C2×C4×C61—24no—
293C2×C4×C61—44no—
294C2×C4×C61—44no—
295C2×C4×C61—44no—
296C2×C4×C61—42no—
297C2×C4×C61—42no—
298C2×C4×C61—42no—
299C2×C4×C61—44no—
300C2×C4×C61#12012yes—
301C2×C4×C61#12012yes—
302C2×C4×C61#12012yes—
303C2×C4×C61#12011yescharacteristic
304C2×C4×C61#12011yescharacteristic
305C2×C4×C61#12112yes—
306C2×C4×C61#12112yes—
307C2×C4×C61#12112yes—
308C2×C4×C61#12112yes—
309C2×C4×C61#12112yes—
310C2×C4×C61#12712yes—
311C2×C4×C61#12712yes—
312C2×C4×C61C22×D411yescharacteristic
313C2×C4×C61C22×D411yescharacteristic
314C2×C4×C61C22×D411yescharacteristic
315C2×C4×C61C22×D411yescharacteristic
316C2×C4×C61C22×D411yescharacteristic
317C2×C4×C61C2×#4111yescharacteristic
318C22⋊D61—44no—
319C22⋊D61—44no—
320C2×Dic61—24no—
321C2×Dic61—22no—
322C2×Dic61—44no—
323C2×Dic61—41no—
324C2×Dic61—41no—
325D244—22no—
326D244—22no—
327D244—41no—
328D244—41no—
329C4×D61—44no—
330C4×D61—44no—
331Dic122—22no—
332Dic122—22no—
333Dic122—41no—
334Dic122—41no—
335#92418—24no—
336#92418—42no—
337#23403—611nomaximal, Sylow
338C22×C61—22no—
339C22×C61—22no—
340C22×C61—22no—
341C22×C61—42no—
342C22×C61—42no—
343C22×C61—42no—
344C22×C61—44no—
345C22×C61—84no—
346C22×C61#39212yes—
347C22×C61#39212yes—
348C22×C61C2×#12011yescharacteristic
349C22×C61C2×#12011yescharacteristic
350C22×C61C2×#12111yescharacteristic
351C2×D61—44no—
352C2×D61—42no—
353C2×D61—82no—
354C2×D61—82no—
355C4×C61—44no—
356C4×C61—42no—
357C4×C61—44no—
358C4×C61#39212yes—
359C4×C61#39212yes—
360C4×C61C2×#12011yescharacteristic
361C4×C61C2×#12111yescharacteristic
362C4×C61C2×#12111yescharacteristic
363C4×C61C2×#12711yescharacteristic
364Dic61—44no—
365Dic61—42no—
366C2×#575—611no—
367C2×#536—611no—
368C2×#536D6111yescharacteristic, complemented
369C2×#421—611no—
370#2896—611no—
371C22×#101—611no—
372#2005—614no—
373#2003—614no—
374#1733—611no—
375C2×C61—21no—
376C2×C61—21no—
377C2×C61—22no—
378C2×C61—22no—
379C2×C61—82no—
380C2×C61C2×#39211yescharacteristic
381C2×C61#302012yes—
382D61—82no—
383C22×#41—611no—
384C22×#41C2×D6111yescharacteristic
385C23×Q8C2×D6111yescharacteristic
386#575—1224no—
387#575—1224no—
388C2×#137—612no—
389C2×#137—1221no—
390C2×AGL(1,ℤ/8)—612no—
391C2×AGL(1,ℤ/8)—1221no—
392C2×#135—1222no—
393C22×M16—611no—
394C22×M16—611no—
395#536—22no—
396#536—22no—
397#536—22no—
398#536—1224no—
399#536—1224no—
400#536C2×D6114yes—
401C2×C4⋊Q8—21no—
402C2×C4⋊Q8—612no—
403C2×#124—21no—
404C2×#124—612no—
405C2×#123—22no—
406C2×#123—1222no—
407C2×C22⋊Q8—22no—
408C2×C22⋊Q8—1222no—
409C2×#117—611no—
410C2×#117C2×D6111yescharacteristic
411#421—1224no—
412C2×#104—614no—
413#419—612no—
414#418—612no—
415#417—1222no—
416#416—1222no—
417C2×#101—614no—
418C2×#101—1224no—
419#339—614no—
420C61#2340311yescharacteristic, complemented, Sylow
421C2×#41—21no—
422C2×#41—21no—
423C2×#41—22no—
424C2×#41—22no—
425C2×#41—22no—
426C2×#41—22no—
427C2×#41—614no—
428C2×#41—1222no—
429C2×#41—1222no—
430C2×#41—1222no—
431C2×#41—1221no—
432C2×#41—1221no—
433C2×#41—1221no—
434C2×#41—1221no—
435C2×#41C22⋊D6112yes—
436C2×#41C22×D6112yes—
437C22×Q8—22no—
438C22×Q8—22no—
439C22×Q8—22no—
440C22×Q8—22no—
441C22×Q8—21no—
442C22×Q8—21no—
443C22×Q8—21no—
444C22×Q8—21no—
445C22×Q8—611no—
446C22×Q8C22⋊D6111yescharacteristic
447C22×Q8C22⋊D6112yes—
448C22×Q8C22×D6112yes—
449C22×D4—21no—
450C22×D4—611no—
451C22×D4—1221no—
452C22×D4C22⋊D6111yescharacteristic
453C23×C4—21no—
454C23×C4—1221no—
455C23×C4C22⋊D6112yes—
456C23×C4C22×D6111yescharacteristic
457#137—1224no—
458#137—1228no—
459#137—1224no—
460AGL(1,ℤ/8)—1224no—
461AGL(1,ℤ/8)—1228no—
462AGL(1,ℤ/8)—1224no—
463#135—12216no—
464C2×Q16—1222no—
465C2×SD16—1222no—
466C2×SD16—1222no—
467C2×D8—1222no—
468C2×M16—614no—
469C2×M16—612no—
470C2×M16—612no—
471C2×M16—1222no—
472C2×M16—1221no—
473C2×M16—1221no—
474C2×M16—1222no—
475C2×M16—1222no—
476C22×C8—1221no—
477C22×C8—1221no—
478C4⋊Q8—24no—
479C4⋊Q8—24no—
480C4⋊Q8—1224no—
481C4⋊Q8—1224no—
482#124—24no—
483#124—24no—
484#124—1224no—
485#124—1224no—
486#123—28no—
487#123—28no—
488#123—12216no—
489C22⋊Q8—28no—
490C22⋊Q8—28no—
491C22⋊Q8—12216no—
492#117—21no—
493#117—21no—
494#117—614no—
495#117—1222no—
496#117C22⋊D6112yes—
497#117C22×D6112yes—
498C2×C4⋊C4—24no—
499C2×C4⋊C4—1221no—
500C2×C4⋊C4—1224no—
501C2×C4⋊C4C22⋊D6112yes—
502C2×C22⋊C4—24no—
503C2×C22⋊C4—21no—
504C2×C22⋊C4—1221no—
505C2×C22⋊C4—1224no—
506C2×C42—21no—
507C2×C42—612no—
508#104—1228no—
509#103—1224no—
510#102—1224no—
511#101—1228no—
512C24—21no—
513C24—1221no—
514C24C2×C22⋊D6111yescharacteristic
515#41—22no—
516#41—22no—
517#41—22no—
518#41—22no—
519#41—24no—
520#41—24no—
521#41—42no—
522#41—42no—
523#41—42no—
524#41—42no—
525#41—1224no—
526#41—1224no—
527#41—1224no—
528#41—1224no—
529#41—2442no—
530#41—2442no—
531#41—2442no—
532#41—2442no—
533C2×Q8—22no—
534C2×Q8—22no—
535C2×Q8—22no—
536C2×Q8—22no—
537C2×Q8—22no—
538C2×Q8—22no—
539C2×Q8—24no—
540C2×Q8—22no—
541C2×Q8—22no—
542C2×Q8—21no—
543C2×Q8—24no—
544C2×Q8—22no—
545C2×Q8—22no—
546C2×Q8—42no—
547C2×Q8—42no—
548C2×Q8—42no—
549C2×Q8—42no—
550C2×Q8—42no—
551C2×Q8—42no—
552C2×Q8—42no—
553C2×Q8—42no—
554C2×Q8—612no—
555C2×Q8—1221no—
556C2×Q8—1221no—
557C2×Q8—1221no—
558C2×Q8—1221no—
559C2×Q8—1221no—
560C2×Q8C2×C22⋊D6112yes—
561C2×D4—22no—
562C2×D4—22no—
563C2×D4—22no—
564C2×D4—21no—
565C2×D4—22no—
566C2×D4—42no—
567C2×D4—42no—
568C2×D4—612no—
569C2×D4—1224no—
570C2×D4—1221no—
571C2×D4—1221no—
572C2×D4—1221no—
573C2×D4—1221no—
574C2×D4—1221no—
575C2×D4—2441no—
576C2×D4—2441no—
577C2×D4—2442no—
578C2×D4C2×C22⋊D6112yes—
579C22×C4—24no—
580C22×C4—22no—
581C22×C4—22no—
582C22×C4—21no—
583C22×C4—22no—
584C22×C4—24no—
585C22×C4—22no—
586C22×C4—22no—
587C22×C4—42no—
588C22×C4—42no—
589C22×C4—1222no—
590C22×C4—1221no—
591C22×C4—1224no—
592C22×C4—2441no—
593C22×C4—2441no—
594C22×C4—2442no—
595C22×C4D4×D6112yes—
596C22×C4D4×D6112yes—
597C22×C4D4×D6112yes—
598C22×C4#1175822412yes—
599C22×C4C2×C22⋊D6114yes—
600C22×C4C2×C22⋊D6111yescharacteristic
601C22×C4C2×C22⋊D6111yescharacteristic
602C22×C4C2×C22⋊D6111yescharacteristic
603C22×C4C2×C22⋊D6111yescharacteristic
604C22×C4C2×C22⋊D6111yescharacteristic
605C22×C4C23×D6111yescharacteristic
606Q16—1228no—
607SD16—1228no—
608SD16—1228no—
609D8—1228no—
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—216no—
621C4⋊C4—22no—
622C4⋊C4—12216no—
623C4⋊C4—1224no—
624C4⋊C4C2×C22⋊D6114yes—
625C22⋊C4—216no—
626C22⋊C4—22no—
627C22⋊C4—22no—
628C22⋊C4—12216no—
629C22⋊C4—1224no—
630C42—22no—
631C42—22no—
632C42—614no—
633C42—1222no—
634C23—22no—
635C23—42no—
636C23—44no—
637C23—42no—
638C23—1222no—
639C23—2444no—
640C23—2441no—
641C23—2441no—
642C23#1451974512yes—
643C23#1451974611yescharacteristic
644C23#1451974611yescharacteristic
645C23#1451974912yes—
646C23C22×C22⋊D6111yescharacteristic
647Q8—22no—
648Q8—22no—
649Q8—42no—
650Q8—42no—
651Q8—42no—
652Q8—42no—
653Q8—44no—
654Q8—44no—
655Q8—42no—
656Q8—1222no—
657Q8—1222no—
658Q8—2441no—
659Q8—2441no—
660D4—22no—
661D4—22no—
662D4—42no—
663D4—42no—
664D4—44no—
665D4—42no—
666D4—1222no—
667D4—1222no—
668D4—2444no—
669D4—2444no—
670D4—2441no—
671D4—2441no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—22no—
676C2×C4—24no—
677C2×C4—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—44no—
684C2×C4—1224no—
685C2×C4—1222no—
686C2×C4—2444no—
687C2×C4—2441no—
688C2×C4—2441no—
689C2×C4—2444no—
690C2×C4—2444no—
691C2×C4#1451974512yes—
692C2×C4#1451974512yes—
693C2×C4#1451974512yes—
694C2×C4#1451974611yescharacteristic
695C2×C4#1451974611yescharacteristic
696C2×C4#1451974812yes—
697C2×C4#1451974812yes—
698C2×C4#1451974912yes—
699C2×C4#1451974912yes—
700C2×C4#1451974912yes—
701C2×C4#1451977312yes—
702C2×C4#1451977312yes—
703C2×C4C2×D4×D6111yescharacteristic
704C2×C4C2×D4×D6111yescharacteristic
705C2×C4C2×D4×D6111yescharacteristic
706C2×C4C22×C22⋊D6111yescharacteristic
707C2×C4C22×C22⋊D6111yescharacteristic
708C2×C4C2×#1175822411yescharacteristic
709C8—1224no—
710C8—2442no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—44no—
718C22—84no—
719C22—4882no—
720C22—4882no—
721C22—2444no—
722C22—2442no—
723C22#1683967012yes—
724C22#1683967012yes—
725C22C2×#1451974511yescharacteristic
726C22C2×#1451974611yescharacteristic
727C22C2×#1451974911yescharacteristic
728C4—44no—
729C4—42no—
730C4—44no—
731C4—2444no—
732C4—2442no—
733C4#1683967012yes—
734C4#1683967012yes—
735C4C2×#1451974511yescharacteristic
736C4C2×#1451974811yescharacteristic
737C4C2×#1451974911yescharacteristic
738C4C2×#1451977311yescharacteristic
739C2—21no—
740C2—22no—
741C2—21no—
742C2—22no—
743C2—82no—
744C2—4882no—
745C2C2×#1683967011yescharacteristic
746C2#2145518312yes—
subgroupG/H
centerC22C2×#14519746
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#536C2
socleC22×C61C2×#120
prime radicalC2×#16840560C2
hypercenterC2×#536D61
hypocenterC61#23403
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#536

Complements

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

NH ≅ G/Ntype
2. C2×#16840336C2semidirect
3. C2×#16839779C2semidirect
4. #21454336C2semidirect
5. C22×#14519696C2semidirect
6. #21446853C2semidirect
7. #21446839C2semidirect
8. #21445528C2semidirect
9. C2×C61×#536C2semidirect
22. C2×#14519775C22semidirect
23. C2×#14519766C22semidirect
29. #16839770C22semidirect
30. #16839766C22semidirect
34. C2×#14519696C22semidirect
35. #16839521C22semidirect
368. C2×#536D61semidirect
420. C61#23403semidirect

Maximal subgroups

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

subgroupindex
C2×#168405602
C2×#168403362
C2×#168397792
#214543362
C22×#145196962
#214468532
#214468392
#214455282
C2×C61×#5362
#2340361