Finite Group Databasebeta

← #11895342

Subgroups — #11895342

Order 1152.

838 conjugacy classes of subgroups.

The subgroup lattice has 757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596010C211yesmaximal, characteristic, complemented
2#10593981C211yesmaximal, characteristic, complemented
3C3×#5016C211yesmaximal, characteristic, complemented
4C3×C4×#213C211yesmaximal, characteristic, complemented
5#10591486C211yesmaximal, characteristic
6#10591476C211yesmaximal, characteristic, complemented
7#10591445C211yesmaximal, characteristic, complemented
8#10591435C211yesmaximal, characteristic, complemented
9#10590552C211yesmaximal, characteristic, complemented
10#10590539C211yesmaximal, characteristic, complemented
11#10590496C211yesmaximal, characteristic, complemented
12#10590473C211yesmaximal, characteristic, complemented
13#10590274C211yesmaximal, characteristic, complemented
14#10590271C211yesmaximal, characteristic, complemented
15#10590254C211yesmaximal, characteristic, complemented
16#80517—31nomaximal
17#79569—31nomaximal
18C32×C4×D4C2211yescharacteristic
19D4×C3⋊Dic3C2211yescharacteristic
20D4×C3⋊Dic3C2211yescharacteristic
21#64133—21no—
22C2×#3750—21no—
23#64099C2211yescharacteristic
24#64097C2211yescharacteristic
25#64087—21no—
26#64087—21no—
27#64079C2211yescharacteristic
28C4×#634C2211yescharacteristic
29C2×C3×#214C2211yescharacteristic
30C2×C3×#213C2211yescharacteristic
31C2×C3×#213C2211yescharacteristic
32C3×#875C2211yescharacteristic
33C3×C4×D12C2211yescharacteristic
34#63914C2211yescharacteristic
35#63913—21no—
36#63905—21no—
37#63898C2211yescharacteristic
38#63891—21no—
39#63879—21no—
40#63863C2211yescharacteristic
41#63843C2211yescharacteristic
42C3×#832C2211yescharacteristic
43C3×#810C2211yescharacteristic
44C3×#809C2211yescharacteristic
45C3×#809C2211yescharacteristic
46C3×#807C2211yescharacteristic
47C3×C4⋊(C3⋊C8)C2211yescharacteristic
48C3×C4×C3⋊C8C2211yescharacteristic
49#63575C2211yescharacteristic
50#63573C2211yescharacteristic
51#63572C2211yescharacteristic
52#63572C2211yescharacteristic
53#63566C2211yescharacteristic
54#63566C2211yescharacteristic
55#63563C2211yescharacteristic
56#63563C2211yescharacteristic
57#63563C2211yescharacteristic
58#63563C2211yescharacteristic
59#63553C2211yescharacteristic
60#63553C2211yescharacteristic
61#5681—31no—
62#5559—31no—
63#5539—31no—
64#5539—31no—
65#5539—61no—
66C3×#463—31no—
67C3×C4×D8—31no—
68#5165—31no—
69Dic3×SD16—31no—
70#5153—31no—
71#5150—31no—
72#5150—31no—
73Dic3×D8—31no—
74#5056—31no—
75#5016D311yescharacteristic, complemented
76C4×#213D311yescharacteristic, complemented
77#5009—31no—
78#4891—31no—
79#4875—31no—
80#4847—31no—
81#4830—31no—
82#4800—31no—
83#4793—31no—
84#4768—31no—
85#4763—31no—
86#4760—31no—
87#4760—31no—
88#4758—31no—
89#4756—31no—
90#4697—31no—
91C8×Dic6—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C32×C4—21no—
94C22×C3⋊Dic3—21no—
95C22×C3⋊Dic3—21no—
96C2×#634—21no—
97C2×#634D411yescharacteristic
98C2×C3×D12C2311yescharacteristic
99C2×C3×D12C2311yescharacteristic
100C2×C3×C4×D3—21no—
101C2×C3×Dic6C2311yescharacteristic
102C2×#625—21no—
103C2×#625—21no—
104C2×D3×Dic3—21no—
105C32×C4⋊C4C2311yescharacteristic
106C32×C22⋊C4—21no—
107C32×C42C2311yescharacteristic
108#3757—21no—
109#3757—21no—
110C4⋊(C3⋊Dic3)—21no—
111C4⋊(C3⋊Dic3)D411yescharacteristic
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114#3750—21no—
115#3750—21no—
116#3750—21no—
117#3750—21no—
118#3750D411yescharacteristic
119#3750D411yescharacteristic
120C4×C3⋊Dic3C2311yescharacteristic
121C4×C3⋊Dic3C2311yescharacteristic
122C3×#214—22no—
123C3×#213—22no—
124C3×#213—22no—
125C3×(C2×D3)⋊C4—21no—
126C3×(C2×D3)⋊C4—21no—
127C3×(C2×D3)⋊C4—21no—
128C3×C4⋊Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133Dic3⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138#3361—91noSylow
139C2×C3×SD16—31no—
140C2×C3×D8—31no—
141C2×C3×D8—31no—
142C3×#124—31no—
143C3×C4×D4—21no—
144C3×C4×D4—31no—
145C3×C4×D4C2×D311yescharacteristic
146C3×C4×D4C2×D311yescharacteristic
147#947—31no—
148Q8×Dic3—31no—
149#940—31no—
150#940—31no—
151#936—31no—
152D4×Dic3—31no—
153D4×Dic3—31no—
154D4×Dic3—31no—
155D4×Dic3—31no—
156D4×Dic3—31no—
157D4×Dic3—61no—
158D4×Dic3—61no—
159C2×#214C2×D311yescharacteristic
160C2×#213C2×D311yescharacteristic
161C2×#213C2×D311yescharacteristic
162#929—61no—
163C4×#67—61no—
164#924—61no—
165#924—61no—
166#924—62no—
167C2×Dic3⋊C4—61no—
168C2×Dic3⋊C4—61no—
169C2×Dic3⋊C4—62no—
170#893—31no—
171#890—31no—
172#890—31no—
173#890—61no—
174#888—31no—
175#888—31no—
176#888—61no—
177#887—31no—
178#886—61no—
179#885—61no—
180#885—61no—
181#883—61no—
182#883—61no—
183#67⋊C4—61no—
184#878—61no—
185#878—61no—
186#878—61no—
187#878—61no—
188#878—62no—
189#878—62no—
190#875C2×D311yescharacteristic
191C4×D12C2×D311yescharacteristic
192#870—31no—
193#870—31no—
194#870—61no—
195C4×Dic6—31no—
196C4×Dic6—31no—
197C4×Dic6—61no—
198C3×#107—31no—
199C3×C4⋊C8—31no—
200C3×#103—31no—
201C3×#102—31no—
202C3×#102—31no—
203C3×#102—31no—
204C3×C4×C8—31no—
205#835—31no—
206#835—31no—
207#832—31no—
208#832—31no—
209#832—31no—
210#832—31no—
211#832C2×D311yescharacteristic
212#821—31no—
213#821—31no—
214#821—31no—
215#821—31no—
216#818—31no—
217#817—31no—
218#816—31no—
219#816—31no—
220Dic3⋊C8—31no—
221Dic3⋊C8—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224C8×Dic3—31no—
225C8×Dic3—31no—
226C8×Dic3—31no—
227C8×Dic3—31no—
228#810C2×D311yescharacteristic
229#809C2×D311yescharacteristic
230#809C2×D311yescharacteristic
231#808—31no—
232#807—31no—
233#807C2×D311yescharacteristic
234C4⋊(C3⋊C8)C2×D311yescharacteristic
235C4×C3⋊C8C2×D311yescharacteristic
236C23×C32—21no—
237C22×C3×D3—21no—
238C22×C3×D3—21no—
239C32×D4—21no—
240C32×D4#4112yes—
241C2×C32×C4—21no—
242C2×C32×C4—81no—
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2×D411yescharacteristic
245C2×C32×C4C2411yescharacteristic
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3—21no—
248C2×C3⋊Dic3—42no—
249C2×C3⋊Dic3—81no—
250C2×C3⋊Dic3C2×D411yescharacteristic
251C2×C3⋊Dic3C2×D411yescharacteristic
252C2×C3⋊Dic3C2×D411yescharacteristic
253C2×C3⋊Dic3C2×D411yescharacteristic
254#634—22no—
255#634—81no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3—21no—
258C3×D12—21no—
259C3×D12—21no—
260C3×D12—21no—
261C3×D12—21no—
262C3×C4×D3—81no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265#625—42no—
266#625—81no—
267D3×Dic3—81no—
268C3×C3⋊C8—21no—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#559—91no—
273#554—91no—
274#488—91no—
275#488—91no—
276#486—91no—
277#478—91no—
278#478—91no—
279#477—91no—
280#463—31no—
281#463—91no—
282#459—91no—
283C8×Q8—91no—
284C4×SD16—91no—
285C4×D8—31no—
286C4×D8—91no—
287C2×C3×Q8—31no—
288C2×C3×D4—21no—
289C2×C3×D4—31no—
290C2×C3×D4—31no—
291C2×C3×D4C22×D311yescharacteristic
292C2×C3×D4C22×D311yescharacteristic
293C22×C3×C4—22no—
294C22×C3×C4—21no—
295C22×C3×C4—21no—
296C22×C3×C4—61no—
297C2×#67—61no—
298C2×#67—61no—
299C2×#67—61no—
300C2×#67—61no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303C22×Dic3—61no—
304C22×Dic3—61no—
305C22×Dic3—61no—
306C22×Dic3—62no—
307C22×Dic3—62no—
308C2×D12C22×D311yescharacteristic
309C2×D12C22×D311yescharacteristic
310C2×C4×D3—21no—
311C2×C4×D3—61no—
312C2×Dic6—31no—
313C2×Dic6—31no—
314C2×Dic6—61no—
315C2×Dic6—61no—
316C2×Dic6—61no—
317C2×Dic6—62no—
318C2×Dic6C22×D311yescharacteristic
319C3×SD16—62no—
320C3×D8—62no—
321C3×D8—62no—
322C2×C3×C8—31no—
323C2×C3×C8—31no—
324C2×C3×C8—31no—
325C2×C3×C8—31no—
326C3×C4⋊C4—21no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C22⋊C4—22no—
331C3×C22⋊C4—21no—
332C3×C22⋊C4—21no—
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C22⋊C4—61no—
336C3×C42—21no—
337C3×C42C22×D311yescharacteristic
338C3×C42C22×D311yescharacteristic
339#217—61no—
340#217—61no—
341#217—61no—
342#217—61no—
343#217—61no—
344#217—61no—
345#217—61no—
346#217—62no—
347#217—62no—
348#214—22no—
349#213—22no—
350#213—22no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
353(C2×D3)⋊C4—21no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—62no—
370C4⋊Dic3C22×D311yescharacteristic
371Dic3⋊C4—31no—
372Dic3⋊C4—31no—
373Dic3⋊C4—31no—
374Dic3⋊C4—31no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—62no—
383Dic3⋊C4—62no—
384Dic3⋊C4—62no—
385Dic3⋊C4—62no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—61no—
390C4×Dic3—31no—
391C4×Dic3—31no—
392C4×Dic3—31no—
393C4×Dic3—31no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C2×C3⋊C8C22×D311yescharacteristic
399C2×C3⋊C8C22×D311yescharacteristic
400C2×C3⋊C8C22×D311yescharacteristic
401C2×C3⋊C8C22×D311yescharacteristic
402C22×C32—22no—
403C22×C32—41no—
404C22×C32—41no—
405C22×C32C22×D411yescharacteristic
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C32×C4—21no—
413C32×C4—21no—
414C32×C4—41no—
415C32×C4C2×#4111yescharacteristic
416C32×C42−1+411yescharacteristic
417C3⋊Dic3—21no—
418C3⋊Dic3—21no—
419C3⋊Dic3—21no—
420C3⋊Dic3—41no—
421C3⋊Dic3—41no—
422C3⋊Dic3#13512yes—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C2×SD16—31no—
426C2×D8—31no—
427C2×D8—31no—
428C4⋊Q8—91no—
429#127—91no—
430#125—91no—
431#125—91no—
432#124—31no—
433#124—91no—
434#124—181no—
435#123—181no—
436#123—181no—
437C22⋊Q8—181no—
438C22⋊Q8—181no—
439C22⋊Q8—181no—
440C4×Q8—91no—
441C4×Q8—91no—
442C4×D4—31no—
443C4×D4—91no—
444C4×D4—91no—
445C4×D4—91no—
446C4×D4—181no—
447C4×D4D3211yescharacteristic
448C2×C4⋊C4—181no—
449#107—31no—
450#107—91no—
451#106—91no—
452C4⋊C8—31no—
453C4⋊C8—91no—
454C4⋊C8—91no—
455#103—31no—
456#103—91no—
457#103—91no—
458#102—31no—
459#102—31no—
460#102—31no—
461#102—91no—
462#102—91no—
463#102—91no—
464#102—91no—
465C4×C8—31no—
466C4×C8—91no—
467C4×C8—91no—
468C23×C3—22no—
469C23×C3—21no—
470C23×C3—21no—
471C23×C3—61no—
472C23×C3—61no—
473C22×D3—21no—
474C22×D3—21no—
475C3×Q8—61no—
476C3×Q8—61no—
477C3×D4—22no—
478C3×D4—21no—
479C3×D4—21no—
480C3×D4—22no—
481C3×D4—61no—
482C3×D4—61no—
483C3×D4—61no—
484C3×D4—61no—
485C3×D4#23512yes—
486C3×D4#23712yes—
487C2×C3×C4—22no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—81no—
496C2×C3×C4—81no—
497C2×C3×C4—82no—
498C2×C3×C4—241no—
499C2×C3×C4D3×D411yescharacteristic
500C2×C3×C4D3×D411yescharacteristic
501C2×C3×C4D3×D411yescharacteristic
502C2×C3×C4D3×D411yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504C2×C3×C4C23×D311yescharacteristic
505#67—122no—
506#67—122no—
507#67—241no—
508#67—241no—
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—31no—
515C2×Dic3—31no—
516C2×Dic3—31no—
517C2×Dic3—31no—
518C2×Dic3—31no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—61no—
523C2×Dic3—62no—
524C2×Dic3—62no—
525C2×Dic3—61no—
526C2×Dic3—61no—
527C2×Dic3—61no—
528C2×Dic3—61no—
529C2×Dic3—122no—
530C2×Dic3—122no—
531C2×Dic3—124no—
532C2×Dic3—241no—
533C2×Dic3—241no—
534C2×Dic3—241no—
535C2×Dic3—242no—
536D12—21no—
537D12—21no—
538D12—21no—
539D12—21no—
540C4×D3—81no—
541C4×D3—241no—
542Dic6—21no—
543Dic6—21no—
544Dic6—62no—
545Dic6—62no—
546Dic6—122no—
547Dic6—241no—
548Dic6—241no—
549Dic6—242no—
550C3×C8—61no—
551C3×C8—61no—
552C3×C8—61no—
553C3×C8—61no—
554C3⋊C8—21no—
555C3⋊C8—21no—
556C3⋊C8—21no—
557C3⋊C8—21no—
558C2×C32—42no—
559C2×C32#54811yescharacteristic
560C2×C32C2×#13511yescharacteristic
561C2×C32#57611yescharacteristic
562C3×D3—81no—
563C3×D3—81no—
564C2×Q8—31no—
565C2×Q8—91no—
566C2×Q8—181no—
567C2×D4—31no—
568C2×D4—31no—
569C2×D4—181no—
570C2×D4—181no—
571C2×D4C2×D3211yescharacteristic
572C22×C4—21no—
573C22×C4—61no—
574C22×C4—181no—
575C22×C4—181no—
576C22×C4—181no—
577SD16—62no—
578D8—62no—
579D8—62no—
580C2×C8—31no—
581C2×C8—31no—
582C2×C8—31no—
583C2×C8—31no—
584C4⋊C4—31no—
585C4⋊C4—91no—
586C4⋊C4—91no—
587C4⋊C4—91no—
588C4⋊C4—91no—
589C4⋊C4—91no—
590C4⋊C4—181no—
591C4⋊C4—181no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C4⋊C4—181no—
596C4⋊C4C2×D3211yescharacteristic
597C22⋊C4—21no—
598C22⋊C4—61no—
599C22⋊C4—61no—
600C22⋊C4—61no—
601C22⋊C4—181no—
602C22⋊C4—181no—
603C22⋊C4—181no—
604C22⋊C4—181no—
605C22⋊C4—181no—
606C42—91no—
607C42—91no—
608C42—181no—
609C42C2×D3211yescharacteristic
610C22×C3—24no—
611C22×C3—22no—
612C22×C3—22no—
613C22×C3—21no—
614C22×C3—42no—
615C22×C3—42no—
616C22×C3—41no—
617C22×C3—41no—
618C22×C3—41no—
619C22×C3—41no—
620C22×C3—121no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3C2×D3×D411yescharacteristic
627C22×C3C2×D3×D411yescharacteristic
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3—41no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—21no—
640C3×C4—41no—
641C3×C4—41no—
642C3×C4—42no—
643C3×C4—41no—
644C3×C4—41no—
645C3×C4—121no—
646C3×C4—121no—
647C3×C4C2×#23511yescharacteristic
648C3×C4C2×#23711yescharacteristic
649C3×C4#101011yescharacteristic
650C3×C4#101011yescharacteristic
651Dic3—32no—
652Dic3—32no—
653Dic3—41no—
654Dic3—41no—
655Dic3—62no—
656Dic3—61no—
657Dic3—61no—
658Dic3—61no—
659Dic3—61no—
660Dic3—61no—
661Dic3—61no—
662Dic3—121no—
663Dic3—121no—
664Dic3—121no—
665Dic3—122no—
666Dic3—122no—
667Dic3—121no—
668Dic3—121no—
669Dic3—121no—
670Dic3—121no—
671C32#336111yescharacteristic, complemented, Sylow
672C23—21no—
673C23—61no—
674C23—61no—
675Q8—61no—
676Q8—61no—
677Q8—182no—
678Q8—721no—
679D4—21no—
680D4—61no—
681D4—61no—
682D4—61no—
683D4—61no—
684D4—362no—
685D4—721no—
686D4#379512yes—
687C2×C4—21no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—81no—
691C2×C4—91no—
692C2×C4—91no—
693C2×C4—91no—
694C2×C4—91no—
695C2×C4—181no—
696C2×C4—181no—
697C2×C4—241no—
698C2×C4—362no—
699C2×C4—721no—
700C2×C4—721no—
701C2×C4#381111yescharacteristic
702C2×C4#381111yescharacteristic
703C2×C4C22×D3211yescharacteristic
704C8—61no—
705C8—61no—
706C8—61no—
707C8—61no—
708C2×C3—21no—
709C2×C3—21no—
710C2×C3—21no—
711C2×C3—44no—
712C2×C3—42no—
713C2×C3—42no—
714C2×C3—241no—
715C2×C3—241no—
716C2×C3#555211yescharacteristic
717C2×C3#559811yescharacteristic
718C2×C3#575711yescharacteristic
719C2×C3D3×#13511yescharacteristic
720C2×C3D3×#13511yescharacteristic
721C2×C3#577411yescharacteristic
722D3—81no—
723D3—81no—
724C22—22no—
725C22—41no—
726C22—41no—
727C22—121no—
728C22—121no—
729C22—121no—
730C22—121no—
731C22—121no—
732C22—121no—
733C22C2×#381111yescharacteristic
734C4—21no—
735C4—21no—
736C4—41no—
737C4—92no—
738C4—121no—
739C4—121no—
740C4—181no—
741C4—181no—
742C4—181no—
743C4—361no—
744C4—361no—
745C4C2×#379511yescharacteristic
746C4#6429811yescharacteristic
747C3—21no—
748C3#7956911yescharacteristic, complemented
749C3#8051711yescharacteristic, complemented
750C2—42no—
751C2—241no—
752C2—241no—
753C2#1059491811yescharacteristic
754C2#1059510211yescharacteristic
755C2#1059545911yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
prime radical#10591486C2
hypercenterC4×D4D32
hypocenterC32#3361
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. #10596010C2semidirect
2. #10593981C2semidirect
3. C3×#5016C2semidirect
4. C3×C4×#213C2semidirect
6. #10591476C2semidirect
7. #10591445C2semidirect
8. #10591435C2semidirect
9. #10590552C2semidirect
10. #10590539C2semidirect
11. #10590496C2semidirect
12. #10590473C2semidirect
13. #10590274C2semidirect
14. #10590271C2semidirect
15. #10590254C2semidirect
75. #5016D3semidirect
76. C4×#213D3semidirect
671. C32#3361semidirect
748. C3#79569semidirect
749. C3#80517semidirect

Maximal subgroups

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

subgroupindex
#105960102
#105939812
C3×#50162
C3×C4×#2132
#105914862
#105914762
#105914452
#105914352
#105905522
#105905392
#105904962
#105904732
#105902742
#105902712
#105902542
#805173
#795693