Finite Group Databasebeta

← D61×#3358 #30559563

Subgroups — D61×#3358 #30559563

Order 15616.

2402 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#550×D61C211yesmaximal, characteristic, complemented
2D4×Q8×D61C211yesmaximal, characteristic, complemented
3#21458455C211yesmaximal, characteristic, complemented
4#21458454C211yesmaximal, characteristic, complemented
5#21458453C213yesmaximal, complemented
6#21458452C213yesmaximal, complemented
7#21458451C213yesmaximal, complemented
8#21458450C211yesmaximal, characteristic, complemented
9#21458449C213yesmaximal, complemented
10#486×D61C213yesmaximal, complemented
11#474×D61C213yesmaximal, complemented
12#459×D61C213yesmaximal, complemented
13C8×Q8×D61C211yesmaximal, characteristic, complemented
14C4×D8×D61C213yesmaximal, complemented
15C61×#3358C211yesmaximal, characteristic, complemented
16C2×#41×D61—21no—
17C22×Q8×D61—21no—
18C2×D8×D61C2213yes—
19#16840434C2211yescharacteristic, complemented
20#16840433C2213yescomplemented
21#16840432C2213yescomplemented
22#16840431—21no—
23#16840430—23no—
24Q8×D244C2211yescharacteristic, complemented
25D4×Dic122C2213yescomplemented
26#16840427C2213yescomplemented
27Q8×C22⋊D61—21no—
28#16840425—23no—
29C4⋊Q8×D61C2213yes—
30#127×D61C2213yes—
31C22⋊Q8×D61—23no—
32#121×D61—23no—
33C4×Q8×D61C2211yescharacteristic
34C4×D4×D61C2213yes—
35C4×D4×D61C2213yes—
36#16840110C2213yescomplemented
37#16840109C2213yescomplemented
38#16840108C2213yescomplemented
39#16840107C2216yescomplemented
40#16840107C2216yescomplemented
41#16840043C2213yescomplemented
42#16840042C2213yescomplemented
43#16840041C2216yescomplemented
44#16840040C2216yescomplemented
45#16840039C2213yescomplemented
46#16839958C2213yescomplemented
47#16839957C2213yescomplemented
48#16839956C2216yescomplemented
49#16839955C2216yescomplemented
50#16839954C2213yescomplemented
51Q8×#92418C2211yescharacteristic, complemented
52C8×Dic122C2213yescomplemented
53#16839886C2213yescomplemented
54C4×D488C2213yescomplemented
55D8×Dic61C2213yescomplemented
56#16839844C2213yescomplemented
57C4×#11758199C2213yescomplemented
58C4×#11758199C2213yescomplemented
59#16839842C2213yescomplemented
60#16839842C2213yescomplemented
61#107×D61C2213yes—
62C4⋊C8×D61C2213yes—
63#102×D61C2216yes—
64#102×D61C2211yescharacteristic
65#102×D61C2213yes—
66C4×C8×D61C2213yes—
67C61×#550C2211yescharacteristic, complemented
68D4×Q8×C61C2211yescharacteristic, complemented
69C61×#486C2213yescomplemented
70C61×#474C2213yescomplemented
71C61×#459C2213yescomplemented
72C8×Q8×C61C2211yescharacteristic, complemented
73C4×D8×C61C2213yescomplemented
74C2×#11758226—21no—
75C2×#11758222—23no—
76C2×#11758224—23no—
77#41×D61—48no—
78C22×Dic122—23no—
79C2×Q8×D61—21no—
80C2×Q8×D61—23no—
81C2×Q8×D61—23no—
82C2×Q8×D61—48no—
83C2×Q8×D61D411yescharacteristic
84C2×D4×D61—23no—
85C2×D4×D61—23no—
86C2×D4×D61C2313yes—
87C2×D4×D61C2311yescharacteristic
88C22×C4×D61—23no—
89C22×C4×D61—23no—
90C2×D488C2313yes—
91C2×#11758199C2313yes—
92C2×#11758199C2313yes—
93D8×D61—212no—
94C2×C8×D61C2311yescharacteristic
95C2×C8×D61C2313yes—
96#14519777C2313yes—
97#14519776—23no—
98#14519776C2316yes—
99#14519775—23no—
100#14519774C2313yes—
101#14519773—23no—
102#14519773—23no—
103#14519773C2316yes—
104#14519757—23no—
105#14519756—23no—
106#14519755—26no—
107#14519754—26no—
108#14519753—23no—
109#14519752—23no—
110#14519751—23no—
111#14519750—26no—
112#14519749—26no—
113#14519748—23no—
114Q8×Dic61D411yescharacteristic
115C4×Dic122C2313yes—
116#14519742D413yes—
117C4×D244C2313yes—
118C4×D244C2313yes—
119D4×Dic61C2313yes—
120D4×Dic61C2313yes—
121#14519739C2313yes—
122#14519739C2313yes—
123C4×C22⋊D61—23no—
124C4×C22⋊D61—23no—
125#14519737—23no—
126#14519737—23no—
127C4⋊C4×D61—23no—
128C4⋊C4×D61D413yes—
129C4⋊C4×D61C2311yescharacteristic
130C4⋊C4×D61C2313yes—
131C22⋊C4×D61—23no—
132C22⋊C4×D61—23no—
133C42×D61C2313yes—
134#14519711C2313yes—
135#14519710C2313yes—
136#14519710C2313yes—
137C4⋊#92418C2313yes—
138#14519706C2316yes—
139#14519699C2316yes—
140#14519699C2311yescharacteristic
141#14519699C2313yes—
142#14519698C2316yes—
143#14519698C2311yescharacteristic
144#14519698C2313yes—
145#14519697C2316yes—
146#14519697C2311yescharacteristic
147#14519697C2313yes—
148C4×#92418C2313yes—
149C8×Dic61C2313yes—
150C8×Dic61C2313yes—
151C2×#41×C61—21no—
152C22×Q8×C61—21no—
153C2×D8×C61C2313yes—
154C4⋊Q8×C61C2313yes—
155#127×C61C2313yes—
156C22⋊Q8×C61—23no—
157#121×C61—23no—
158C4×Q8×C61C2311yescharacteristic
159C4×D4×C61C2313yes—
160C4×D4×C61C2313yes—
161#107×C61C2313yes—
162C4⋊C8×C61C2313yes—
163#102×C61C2316yes—
164#102×C61C2311yescharacteristic
165#102×C61C2313yes—
166C4×C8×C61C2313yes—
167C23×D61—21no—
168C23×D61—23no—
169#41×C61—44no—
170C2×Q8×C61—23no—
171C2×Q8×C61—44no—
172C2×Q8×C61C2×D411yescharacteristic
173C2×D4×C61—23no—
174C2×D4×C61—23no—
175C2×D4×C61C2413yes—
176C2×D4×C61C2411yescharacteristic
177C22×C4×C61—23no—
178C22×C4×C61—23no—
179C2×C22⋊D61—21no—
180C2×C22⋊D61—26no—
181C2×C22⋊D61—23no—
182C2×C22⋊D61—26no—
183C22×Dic61—23no—
184C22×Dic61—23no—
185#11758226—44no—
186Q8×D61—44no—
187Q8×D61—412no—
188Q8×D61—412no—
189Q8×D61D818yescomplemented
190#11758224—412no—
191D4×D61—26no—
192D4×D61—22no—
193D4×D61—26no—
194D4×D61—412no—
195D4×D61—86no—
196D4×D61#4114yescomplemented
197#11758222—412no—
198C2×D244—23no—
199C2×D244—23no—
200C2×D244C2413yes—
201C2×D244C2411yescharacteristic
202C2×C4×D61—21no—
203C2×C4×D61—23no—
204C2×C4×D61—23no—
205C2×C4×D61—23no—
206C2×C4×D61—23no—
207C2×C4×D61—23no—
208C2×C4×D61—412no—
209C2×C4×D61—412no—
210C2×C4×D61C2×D413yes—
211C2×C4×D61C2×D413yes—
212C2×C4×D61C2411yescharacteristic
213C2×Dic122—23no—
214C2×Dic122—26no—
215C2×Dic122—412no—
216C2×Dic122C2×D413yes—
217D8×C61—26no—
218C2×C8×C61C2411yescharacteristic
219C2×C8×C61C2413yes—
220C4⋊C4×C61—23no—
221C4⋊C4×C61C2×D413yes—
222C4⋊C4×C61C2413yes—
223C4⋊C4×C61C2411yescharacteristic
224C22⋊C4×C61—23no—
225C22⋊C4×C61—23no—
226C42×C61C2413yes—
227C22⋊Dic61—23no—
228C22⋊Dic61—23no—
229#11758199—26no—
230#11758199—26no—
231#11758198—23no—
232#11758198—23no—
233#11758198—23no—
234#11758198—23no—
235C4⋊Dic61—23no—
236C4⋊Dic61C2×D413yes—
237C4⋊Dic61C2413yes—
238C4⋊Dic61C2411yescharacteristic
239#11758196—26no—
240#11758196—21no—
241#11758196—23no—
242#11758196C2×D416yes—
243C4×Dic61C2×D413yes—
244C4×Dic61C2×D413yes—
245C4×Dic61C2413yes—
246C2×#92418C2411yescharacteristic
247C2×#92418C2413yes—
248D488—26no—
249C8×D61—26no—
250C8×D61—22no—
251C23×C61—21no—
252C23×C61—23no—
253C22×D61—21no—
254C22×D61—24no—
255C22×D61—23no—
256C22×D61—42no—
257C22×D61—42no—
258C22×D61—46no—
259C22×D61—46no—
260C22×D61—46no—
261C22×D61C22×D411yescharacteristic
262Q8×C61—46no—
263Q8×C61C2×D814yescomplemented
264D4×C61—23no—
265D4×C61—21no—
266D4×C61—23no—
267D4×C61—46no—
268D4×C61—83no—
269D4×C61C2×#4112yescomplemented
270C2×C4×C61—23no—
271C2×C4×C61—21no—
272C2×C4×C61—46no—
273C2×C4×C61—46no—
274C2×C4×C61C22×D413yes—
275C2×C4×C61C22×D413yes—
276C2×C4×C61C2511yescharacteristic
277C22⋊D61—24no—
278C22⋊D61—46no—
279C22⋊D61—412no—
280C22⋊D61—86no—
281C2×Dic61—23no—
282C2×Dic61—21no—
283C2×Dic61—46no—
284C2×Dic61—46no—
285C2×Dic61C22×D413yes—
286C2×Dic61C22×D411yescharacteristic
287C2×Dic61C22×D413yes—
288D244—23no—
289D244—21no—
290D244—23no—
291D244—46no—
292D244—83no—
293D244C2×#4112yescomplemented
294C4×D61—26no—
295C4×D61—42no—
296C4×D61—46no—
297C4×D61—46no—
298C4×D61—46no—
299C4×D61—46no—
300C4×D61—46no—
301C4×D61C2×D8112yes—
302C4×D61C2×#4112yes—
303C4×D612−1+412yes—
304Dic122—46no—
305Dic122—412no—
306Dic122C2×D8112yescomplemented
307C8×C61—23no—
308C8×C61—21no—
309#92418—23no—
310#92418—21no—
311C2×#3358—611nomaximal, Sylow
312C22×C61—22no—
313C22×C61—41no—
314C22×C61—41no—
315C22×C61—43no—
316C22×C61—43no—
317C22×C61—43no—
318C22×C61C23×D411yescharacteristic
319C2×D61—22no—
320C2×D61—41no—
321C2×D61—41no—
322C2×D61—48no—
323C2×D61—43no—
324C2×D61—43no—
325C2×D61—43no—
326C2×D61—812no—
327C2×D61#54812yes—
328C2×D61C22×D812yes—
329C2×D61#57712yes—
330C4×C61—23no—
331C4×C61—43no—
332C4×C61—41no—
333C4×C61C22×D816yes—
334C4×C61C22×#4111yescharacteristic
335C4×C61C2×2−1+411yescharacteristic
336Dic61—23no—
337Dic61—43no—
338Dic61—41no—
339Dic61#54812yes—
340Dic61C22×D816yes—
341C2×#550—611no—
342C2×D4×Q8—611no—
343#3358—613no—
344#3358—613no—
345#3358—613no—
346#3358—611no—
347#3358—613no—
348#3358—611no—
349#3358—611no—
350#3358D6111yescharacteristic, direct product factor
351C2×#486—613no—
352C2×#474—613no—
353C2×#459—613no—
354C2×C8×Q8—611no—
355C2×C4×D8—613no—
356C2×C61—42no—
357C2×C61—83no—
358C2×C61C2×#54811yescharacteristic
359C2×C61C23×D811yescharacteristic
360C2×C61C2×#57711yescharacteristic
361D61—42no—
362D61—83no—
363D61#335814yesdirect product factor
364C22×#41—1221no—
365C23×Q8—1221no—
366C22×D8—613no—
367#550—613no—
368#550—611no—
369#550—613no—
370#550—1223no—
371#550—1221no—
372#550C2×D6111yescharacteristic, complemented
373D4×Q8—613no—
374D4×Q8—611no—
375D4×Q8—613no—
376D4×Q8—1223no—
377D4×Q8—1221no—
378D4×Q8C2×D6111yescharacteristic, complemented
379C2×C4⋊Q8—613no—
380C2×#127—613no—
381C2×C22⋊Q8—1223no—
382C2×#121—1223no—
383C2×C4×Q8—611no—
384C2×C4×D4—613no—
385C2×C4×D4—613no—
386#486—613no—
387#486—613no—
388#486—616no—
389#486—616no—
390#486—613no—
391#486C2×D6113yescomplemented
392#474—613no—
393#474—613no—
394#474—616no—
395#474—613no—
396#474—616no—
397#474C2×D6113yescomplemented
398#459—616no—
399#459—613no—
400#459—613no—
401#459—613no—
402#459—616no—
403#459C2×D6113yescomplemented
404C8×Q8—611no—
405C8×Q8—613no—
406C8×Q8—613no—
407C8×Q8C2×D6111yescharacteristic, complemented
408C4×D8—613no—
409C4×D8—613no—
410C4×D8—613no—
411C4×D8—613no—
412C4×D8—613no—
413C4×D8—613no—
414C4×D8—613no—
415C4×D8C2×D6113yescomplemented
416C2×#107—613no—
417C2×C4⋊C8—613no—
418C2×#102—613no—
419C2×#102—616no—
420C2×#102—611no—
421C2×C4×C8—613no—
422C61C2×#335811yescharacteristic, complemented, Sylow
423C2×#41—21no—
424C2×#41—1223no—
425C2×#41—1223no—
426C2×#41—1221no—
427C2×#41—2448no—
428C22×Q8—21no—
429C22×Q8—611no—
430C22×Q8—1223no—
431C22×Q8—1223no—
432C22×Q8—1223no—
433C22×Q8—1221no—
434C22×Q8—2448no—
435C22×D4—611no—
436C22×D4—613no—
437C22×D4—1223no—
438C22×D4—1223no—
439C23×C4—1223no—
440C23×C4—1223no—
441C2×D8—613no—
442C2×D8—613no—
443C2×D8—613no—
444C2×D8—12212no—
445C2×D8C22×D6113yes—
446C22×C8—613no—
447C22×C8—611no—
448C4⋊Q8—616no—
449C4⋊Q8—613no—
450C4⋊Q8—1223no—
451C4⋊Q8—1223no—
452C4⋊Q8C22×D6113yes—
453#127—616no—
454#127—613no—
455#127—1223no—
456#127—1223no—
457#127C22×D6113yes—
458C22⋊Q8—23no—
459C22⋊Q8—1226no—
460C22⋊Q8—1226no—
461C22⋊Q8—1223no—
462C22⋊Q8—1223no—
463C22⋊Q8—1223no—
464#121—23no—
465#121—1226no—
466#121—1223no—
467#121—1223no—
468#121—1226no—
469#121—1223no—
470C4×Q8—611no—
471C4×Q8—613no—
472C4×Q8—613no—
473C4×Q8C22×D6111yescharacteristic
474C4×D4—613no—
475C4×D4—613no—
476C4×D4—613no—
477C4×D4—613no—
478C4×D4—613no—
479C4×D4—613no—
480C4×D4—1223no—
481C4×D4—1223no—
482C4×D4—1223no—
483C4×D4—1223no—
484C4×D4C22×D6113yes—
485C4×D4C22×D6113yes—
486C2×C4⋊C4—613no—
487C2×C4⋊C4—611no—
488C2×C4⋊C4—613no—
489C2×C4⋊C4—1223no—
490C2×C22⋊C4—1223no—
491C2×C22⋊C4—1223no—
492C2×C42—613no—
493#107—613no—
494#107—613no—
495#107—613no—
496#107C22×D6113yes—
497C4⋊C8—616no—
498C4⋊C8—613no—
499C4⋊C8C22×D6113yes—
500#102—611no—
501#102—613no—
502#102—616no—
503#102—611no—
504#102—613no—
505#102—616no—
506#102—611no—
507#102—613no—
508#102—616no—
509#102C22×D6111yescharacteristic
510#102C22×D6113yes—
511#102C22×D6116yes—
512C4×C8—613no—
513C4×C8—613no—
514C4×C8—613no—
515C4×C8C22×D6113yes—
516C24—1221no—
517C24—1223no—
518#41—44no—
519#41—24412no—
520#41—24412no—
521#41—2444no—
522C2×Q8—23no—
523C2×Q8—44no—
524C2×Q8—618no—
525C2×Q8—613no—
526C2×Q8—1226no—
527C2×Q8—1223no—
528C2×Q8—24412no—
529C2×Q8—24412no—
530C2×Q8—24412no—
531C2×Q8—2444no—
532C2×Q8D4×D6111yescharacteristic
533C2×D4—23no—
534C2×D4—23no—
535C2×D4—614no—
536C2×D4—611no—
537C2×D4—613no—
538C2×D4—1222no—
539C2×D4—1226no—
540C2×D4—1226no—
541C2×D4—1221no—
542C2×D4—1226no—
543C2×D4—1223no—
544C2×D4—1226no—
545C2×D4—1223no—
546C2×D4—1223no—
547C2×D4—4886no—
548C2×D4—24412no—
549C2×D4C23×D6113yes—
550C2×D4C23×D6111yescharacteristic
551C22×C4—23no—
552C22×C4—23no—
553C22×C4—613no—
554C22×C4—611no—
555C22×C4—613no—
556C22×C4—1223no—
557C22×C4—1223no—
558C22×C4—1221no—
559C22×C4—1223no—
560C22×C4—1223no—
561C22×C4—1223no—
562C22×C4—1223no—
563C22×C4—1223no—
564C22×C4—24412no—
565C22×C4—24412no—
566D8—26no—
567D8—1226no—
568D8—1226no—
569D8—1226no—
570C2×C8—611no—
571C2×C8—613no—
572C2×C8—1222no—
573C2×C8—1226no—
574C2×C8C23×D6111yescharacteristic
575C2×C8C23×D6113yes—
576C4⋊C4—23no—
577C4⋊C4—616no—
578C4⋊C4—613no—
579C4⋊C4—613no—
580C4⋊C4—611no—
581C4⋊C4—1221no—
582C4⋊C4—1223no—
583C4⋊C4—1226no—
584C4⋊C4—1223no—
585C4⋊C4D4×D6113yes—
586C4⋊C4C23×D6113yes—
587C4⋊C4C23×D6111yescharacteristic
588C22⋊C4—23no—
589C22⋊C4—23no—
590C22⋊C4—1223no—
591C22⋊C4—1223no—
592C22⋊C4—1223no—
593C22⋊C4—1223no—
594C22⋊C4—1223no—
595C22⋊C4—1223no—
596C42—613no—
597C42—613no—
598C42—613no—
599C42C23×D6113yes—
600C23—21no—
601C23—23no—
602C23—611no—
603C23—1224no—
604C23—1221no—
605C23—1223no—
606C23—2446no—
607C23—2446no—
608C23—2446no—
609C23—2442no—
610C23—2442no—
611Q8—46no—
612Q8—6112no—
613Q8—24412no—
614Q8—2446no—
615Q8D8×D6114yescomplemented
616D4—23no—
617D4—21no—
618D4—23no—
619D4—46no—
620D4—83no—
621D4—612no—
622D4—1224no—
623D4—1223no—
624D4—1221no—
625D4—1223no—
626D4—4883no—
627D4—4886no—
628D4—2446no—
629D4—24412no—
630D4—2446no—
631D4#41×D6112yescomplemented
632C2×C4—21no—
633C2×C4—23no—
634C2×C4—46no—
635C2×C4—46no—
636C2×C4—611no—
637C2×C4—613no—
638C2×C4—6112no—
639C2×C4—612no—
640C2×C4—612no—
641C2×C4—613no—
642C2×C4—1226no—
643C2×C4—1221no—
644C2×C4—1223no—
645C2×C4—2446no—
646C2×C4—2446no—
647C2×C4—2442no—
648C2×C4—2446no—
649C2×C4—2446no—
650C2×C4—2446no—
651C2×C4—2446no—
652C2×C4—2446no—
653C2×C4C2×D4×D6113yes—
654C2×C4C2×D4×D6113yes—
655C2×C4C24×D6111yescharacteristic
656C8—23no—
657C8—21no—
658C8—1223no—
659C8—1221no—
660C22—22no—
661C22—41no—
662C22—41no—
663C22—43no—
664C22—43no—
665C22—43no—
666C22—612no—
667C22—612no—
668C22—612no—
669C22—1222no—
670C22—48812no—
671C22—2448no—
672C22—2443no—
673C22—2443no—
674C22—2443no—
675C22—2441no—
676C22—2441no—
677C22C22×D4×D6111yescharacteristic
678C4—23no—
679C4—41no—
680C4—43no—
681C4—616no—
682C4—612no—
683C4—1223no—
684C4—2441no—
685C4—2443no—
686C4C2×D8×D6116yes—
687C4C2×#41×D6111yescharacteristic
688C42−1+4×D6111yescharacteristic
689C2—42no—
690C2—83no—
691C2—614no—
692C2—4883no—
693C2—2442no—
694C2#548×D6111yescharacteristic
695C2C22×D8×D6111yescharacteristic
696C2#577×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3358C2
socleC22×C61C23×D4
hypercenter#3358D61
hypocenterC61C2×#3358
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3358

Complements

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

NH ≅ G/Ntype
1. #550×D61C2semidirect
2. D4×Q8×D61C2semidirect
3. #21458455C2semidirect
4. #21458454C2semidirect
5. #21458453C2semidirect
6. #21458452C2semidirect
7. #21458451C2semidirect
8. #21458450C2semidirect
9. #21458449C2semidirect
10. #486×D61C2semidirect
11. #474×D61C2semidirect
12. #459×D61C2semidirect
13. C8×Q8×D61C2semidirect
14. C4×D8×D61C2semidirect
15. C61×#3358C2semidirect
19. #16840434C22semidirect
20. #16840433C22semidirect
21. #16840432C22semidirect
24. Q8×D244C22semidirect
25. D4×Dic122C22semidirect
26. #16840427C22semidirect
36. #16840110C22semidirect
37. #16840109C22semidirect
38. #16840108C22semidirect
39. #16840107C22semidirect
40. #16840107C22semidirect
41. #16840043C22semidirect
42. #16840042C22semidirect
43. #16840041C22semidirect
44. #16840040C22semidirect
45. #16840039C22semidirect
46. #16839958C22semidirect
47. #16839957C22semidirect
48. #16839956C22semidirect
49. #16839955C22semidirect
50. #16839954C22semidirect
51. Q8×#92418C22semidirect
52. C8×Dic122C22semidirect
53. #16839886C22semidirect
54. C4×D488C22semidirect
55. D8×Dic61C22semidirect
56. #16839844C22semidirect
57. C4×#11758199C22semidirect
58. C4×#11758199C22semidirect
59. #16839842C22semidirect
60. #16839842C22semidirect
67. C61×#550C22semidirect
68. D4×Q8×C61C22semidirect
69. C61×#486C22semidirect
70. C61×#474C22semidirect
71. C61×#459C22semidirect
72. C8×Q8×C61C22semidirect
73. C4×D8×C61C22semidirect
189. Q8×D61D8semidirect
196. D4×D61#41semidirect
263. Q8×C61C2×D8semidirect
269. D4×C61C2×#41semidirect
293. D244C2×#41semidirect
306. Dic122C2×D8semidirect
350. #3358D61direct (N × H)
363. D61#3358direct (N × H)
372. #550C2×D61semidirect
378. D4×Q8C2×D61semidirect
391. #486C2×D61semidirect
397. #474C2×D61semidirect
403. #459C2×D61semidirect
407. C8×Q8C2×D61semidirect
415. C4×D8C2×D61semidirect
422. C61C2×#3358semidirect
615. Q8D8×D61semidirect
631. D4#41×D61semidirect

Maximal subgroups

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

subgroupindex
#550×D612
D4×Q8×D612
#214584552
#214584542
#214584532
#214584522
#214584512
#214584502
#214584492
#486×D612
#474×D612
#459×D612
C8×Q8×D612
C4×D8×D612
C61×#33582
C2×#335861