Finite Group Databasebeta

← #11870634

Subgroups — #11870634

Order 1152.

853 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
1#10593974C211yesmaximal, characteristic, complemented
2C4×#3799C211yesmaximal, characteristic, complemented
3C4×#3744C211yesmaximal, characteristic, complemented
4C3×C4×#204C211yesmaximal, characteristic, complemented
5C3×#4685C211yesmaximal, characteristic, complemented
6#10590970C211yesmaximal, characteristic, complemented
7#10590860C211yesmaximal, characteristic, complemented
8#10590859C211yesmaximal, characteristic, complemented
9#10590837C211yesmaximal, characteristic, complemented
10#10590823C211yesmaximal, characteristic
11#10590815C211yesmaximal, characteristic, complemented
12#10590769C211yesmaximal, characteristic, complemented
13#10590709C211yesmaximal, characteristic, complemented
14C4×#3719C211yesmaximal, characteristic, complemented
15C4×#3714C211yesmaximal, characteristic, complemented
16#79694—31nomaximal
17#79299—31nomaximal
18C2×#3799C2211yescharacteristic
19C2×#3744C2211yescharacteristic
20C4×C4⋊(C3⋊D3)C2211yescharacteristic
21C4×#634C2211yescharacteristic
22C2×C3×#204C2211yescharacteristic
23C3×C4×D12C2211yescharacteristic
24C3×C42×D3C2211yescharacteristic
25C3×C4×Dic6C2211yescharacteristic
26#63908C2211yescharacteristic
27#63905—21no—
28#63904—21no—
29C4×#626—21no—
30C4×#625—21no—
31#63894C2211yescharacteristic
32C4×#624—21no—
33#63869C2211yescharacteristic
34#63860C2211yescharacteristic
35#63859—21no—
36#63857C2211yescharacteristic
37#63855—21no—
38Dic3×Dic6C2211yescharacteristic
39#63841C2211yescharacteristic
40#63836—21no—
41C2×#3719C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43C32×C4×C8C2211yescharacteristic
44#63648C2211yescharacteristic
45#63644C2211yescharacteristic
46#63643C2211yescharacteristic
47C3×#821C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#817C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×Dic3⋊C8C2211yescharacteristic
53C3×Dic3⋊C8C2211yescharacteristic
54C3×C4×C3⋊C8C2211yescharacteristic
55#63575C2211yescharacteristic
56#63575C2211yescharacteristic
57#63567C2211yescharacteristic
58#63566C2211yescharacteristic
59#63564C2211yescharacteristic
60#63563C2211yescharacteristic
61C4×#239—31no—
62#5557—31no—
63#5479—31no—
64C4×#235—31no—
65C3×C4×SD16—31no—
66C3×#431—31no—
67#5172—31no—
68#5166—31no—
69C4×#216—31no—
70C4×#213—31no—
71#4871—31no—
72#4868—31no—
73#4847—31no—
74#4845—31no—
75#4844—31no—
76#4829—31no—
77#4808—31no—
78#4799—31no—
79#4787—31no—
80#4779—31no—
81#4737—31no—
82#4734—31no—
83#4733—31no—
84#4723—31no—
85C4×Dic12—31no—
86C4×D24—31no—
87C4×#204—31no—
88C4×#204—31no—
89C4×#204—61no—
90C4×#204D311yescharacteristic, complemented
91#4685D311yescharacteristic, complemented
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×#634C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3D411yescharacteristic
98C2×C3×C4×D3D411yescharacteristic
99C2×C3×C4×D3C2311yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×#626—21no—
102C2×#625—21no—
103C2×#624—21no—
104C2×#624—21no—
105#3799—22no—
106#3799—22no—
107C2×C32×C8C2311yescharacteristic
108C2×C32×C8C2311yescharacteristic
109C32×C42C2311yescharacteristic
110#3752—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113#3750—21no—
114C4×C3⋊Dic3—21no—
115#3744—22no—
116C3×(C2×D3)⋊C4—21no—
117C3×C4⋊Dic3C2311yescharacteristic
118C3×C4⋊Dic3C2311yescharacteristic
119C3×Dic3⋊C4—21no—
120C3×C4×Dic3—21no—
121C3×C4×Dic3D411yescharacteristic
122C3×C4×Dic3D411yescharacteristic
123C3×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C3×#204—22no—
127#3724—21no—
128Dic3⋊Dic3—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131#3722—21no—
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32—21no—
139#3719—22no—
140#3714—22no—
141#3102—91noSylow
142C2×#239—31no—
143C2×#235—31no—
144C2×C3×SD16—31no—
145C3×C4×Q8—31no—
146C3×C4×D4—31no—
147C2×C3×C42—31no—
148Q8×Dic3—31no—
149C2×#216—31no—
150#938—31no—
151#936—31no—
152C2×#213—31no—
153#930—31no—
154#929—61no—
155C4×#67—61no—
156C4×#67—61no—
157C4×#67—61no—
158C4×#67—61no—
159#926—31no—
160#926—61no—
161#924—31no—
162C2×Dic12—31no—
163C2×D24—31no—
164C2×#204—31no—
165C2×#204—31no—
166C2×#204—61no—
167C2×#204C2×D311yescharacteristic
168#897—31no—
169#893—31no—
170#893—61no—
171#892—31no—
172#892—61no—
173#890—31no—
174#883—61no—
175#879—61no—
176#876—61no—
177#875—31no—
178C4×D12—31no—
179C4×D12—31no—
180C4×D12—31no—
181C4×D12—61no—
182C4×D12—61no—
183C4×D12C2×D311yescharacteristic
184#872—61no—
185#872—61no—
186C42×D3—61no—
187C42×D3—61no—
188C42×D3C2×D311yescharacteristic
189#870—31no—
190C4×Dic6—31no—
191C4×Dic6—31no—
192C4×Dic6—31no—
193C4×Dic6—61no—
194C4×Dic6C2×D311yescharacteristic
195C3×#106—31no—
196C3×C4⋊C8—31no—
197C3×C4⋊C8—31no—
198C3×#103—31no—
199C3×#102—31no—
200C3×C22⋊C8—31no—
201C3×C22⋊C8—31no—
202C3×C4×C8—21no—
203C3×C4×C8—31no—
204C3×C4×C8C2×D311yescharacteristic
205C3×C4×C8C2×D311yescharacteristic
206#835—31no—
207#832—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—61no—
213#821C2×D311yescharacteristic
214(C2×D3)⋊C8C2×D311yescharacteristic
215(C2×D3)⋊C8C2×D311yescharacteristic
216#818—31no—
217#818—31no—
218#817—31no—
219#817—31no—
220#817—61no—
221#817C2×D311yescharacteristic
222#816—31no—
223#816—31no—
224#816—31no—
225#816—31no—
226#816—61no—
227#816C2×D311yescharacteristic
228Dic3⋊C8C2×D311yescharacteristic
229Dic3⋊C8C2×D311yescharacteristic
230#810—31no—
231#809—31no—
232#807—31no—
233#807—31no—
234C4×C3⋊C8C2×D311yescharacteristic
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)#4112yes—
246C4×C3⋊D3—42no—
247#634—21no—
248#634—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C3×D12—21no—
256C3×D12—21no—
257C3×C4×D3—22no—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—41no—
261C3×C4×D3—42no—
262C3×Dic6—21no—
263C3×Dic6#4112yes—
264#626—24no—
265#625—42no—
266#624—24no—
267#624—42no—
268C32×C8—21no—
269C32×C8—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#529—91no—
273C4×#41—91no—
274#485—91no—
275#482—91no—
276#479—91no—
277#478—91no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—91no—
282C4×Q16—91no—
283C4×SD16—31no—
284C4×SD16—91no—
285C4×D8—91no—
286#431—31no—
287C2×C3×Q8—31no—
288C2×C3×D4—31no—
289C22×C3×C4—31no—
290C22×C3×C4—31no—
291C22×C3×C4—31no—
292C22×C3×C4—61no—
293C2×#67—61no—
294C2×#67—61no—
295C2×#67—61no—
296#239—62no—
297#239—62no—
298#235—62no—
299#235—62no—
300C2×D12—31no—
301C2×D12—31no—
302C2×D12—61no—
303C2×D12—61no—
304C2×D12C22×D311yescharacteristic
305C2×C4×D3—21no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—121no—
313C2×C4×D3D1211yescharacteristic
314C2×C4×D3D1211yescharacteristic
315C2×C4×D3C22×D311yescharacteristic
316C2×Dic6—31no—
317C2×Dic6—31no—
318C2×Dic6—61no—
319C2×Dic6C22×D311yescharacteristic
320C3×SD16—62no—
321C2×C3×C8—21no—
322C2×C3×C8—21no—
323C2×C3×C8—31no—
324C2×C3×C8—31no—
325C2×C3×C8C22×D311yescharacteristic
326C2×C3×C8C22×D311yescharacteristic
327C2×C3×C8C22×D311yescharacteristic
328C2×C3×C8C22×D311yescharacteristic
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C42—21no—
334C3×C42—31no—
335C3×C42—31no—
336C3×C42—31no—
337C3×C42—61no—
338C3×C42C22×D311yescharacteristic
339C3×C42C22×D311yescharacteristic
340#217—61no—
341#217—61no—
342#217—61no—
343#217—61no—
344#217—61no—
345#216—62no—
346#213—62no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—121no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3C22×D311yescharacteristic
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—21no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—121no—
378C4×Dic3—21no—
379C4×Dic3—61no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—121no—
386C4×Dic3D1211yescharacteristic
387C4×Dic3D1211yescharacteristic
388C4×Dic3C22×D311yescharacteristic
389C2×C3⋊C8C22×D311yescharacteristic
390C2×C3⋊C8C22×D311yescharacteristic
391Dic12—62no—
392D24—62no—
393#204—22no—
394#204—62no—
395#204—62no—
396#204—64no—
397C22×C32C22×D411yescharacteristic
398C2×C3⋊D3—22no—
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3×D3—21no—
402C2×C3×D3—21no—
403C2×C3×D3—21no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C32×C4—21no—
408C32×C4#13512yes—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—41no—
412C3⋊Dic3—41no—
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—22no—
416C3×Dic3—21no—
417C3×Dic3—21no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C2×#41—91no—
421C2×Q16—91no—
422C2×SD16—31no—
423C2×SD16—91no—
424C2×D8—91no—
425#126—181no—
426#125—91no—
427#124—91no—
428#123—181no—
429C22⋊Q8—91no—
430#121—91no—
431C4×Q8—31no—
432C4×Q8—91no—
433C4×Q8—91no—
434C4×D4—31no—
435C4×D4—91no—
436C4×D4—91no—
437C4×D4—181no—
438C4×D4—181no—
439C4×D4—181no—
440#117—91no—
441#117—181no—
442#117—181no—
443C2×C42—31no—
444C2×C42—181no—
445#107—91no—
446#107—91no—
447#106—31no—
448#106—91no—
449C4⋊C8—31no—
450C4⋊C8—31no—
451#103—31no—
452#103—91no—
453#103—91no—
454#103—91no—
455#102—31no—
456#102—91no—
457#102—91no—
458#102—91no—
459C22⋊C8—31no—
460C22⋊C8—31no—
461C4×C8—31no—
462C4×C8D3211yescharacteristic
463C23×C3—31no—
464C23×C3—61no—
465C22×D3—21no—
466C22×D3—61no—
467C22×D3—61no—
468C22×D3—121no—
469C22×D3C2×D1211yescharacteristic
470C3×Q8—32no—
471C3×Q8—61no—
472C3×D4—61no—
473C3×D4—61no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—31no—
478C2×C3×C4—31no—
479C2×C3×C4—31no—
480C2×C3×C4—61no—
481C2×C3×C4—62no—
482C2×C3×C4—61no—
483C2×C3×C4—61no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—121no—
487C2×C3×C4—122no—
488C2×C3×C4C2×D1211yescharacteristic
489C2×C3×C4C2×D1211yescharacteristic
490C2×C3×C4D3×D411yescharacteristic
491C2×C3×C4D3×D411yescharacteristic
492C2×C3×C4C23×D311yescharacteristic
493C2×C3×C4C23×D311yescharacteristic
494#67—64no—
495#67—122no—
496#67—122no—
497C2×Dic3—21no—
498C2×Dic3—21no—
499C2×Dic3—21no—
500C2×Dic3—61no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—121no—
507C2×Dic3—121no—
508C2×Dic3—121no—
509C2×Dic3C2×D1211yescharacteristic
510C2×Dic3C2×D1211yescharacteristic
511C2×Dic3C2×D1211yescharacteristic
512D12—21no—
513D12—21no—
514D12—32no—
515D12—32no—
516D12—62no—
517D12—64no—
518D12—61no—
519D12—61no—
520D12—121no—
521C4×D3—22no—
522C4×D3—21no—
523C4×D3—21no—
524C4×D3—41no—
525C4×D3—42no—
526C4×D3—64no—
527C4×D3—64no—
528C4×D3—122no—
529C4×D3—122no—
530C4×D3—122no—
531C4×D3—122no—
532C4×D3—242no—
533Dic6—21no—
534Dic6—62no—
535Dic6—61no—
536Dic6—61no—
537Dic6—61no—
538Dic6—61no—
539Dic6—121no—
540Dic6#23512yes—
541C3×C8—22no—
542C3×C8—21no—
543C3×C8—21no—
544C3×C8—21no—
545C3×C8—21no—
546C3×C8—41no—
547C3×C8—61no—
548C3×C8—61no—
549C3⋊C8—21no—
550C3⋊C8—21no—
551C2×C32#52511yescharacteristic
552C2×C32C2×#13511yescharacteristic
553C2×C32#57511yescharacteristic
554C3⋊D3—42no—
555C3×D3—41no—
556C3×D3—81no—
557#41—182no—
558#41—182no—
559C2×Q8—31no—
560C2×Q8—91no—
561C2×D4—31no—
562C2×D4—91no—
563C2×D4—181no—
564C2×D4—181no—
565C22×C4—31no—
566C22×C4—31no—
567C22×C4—31no—
568C22×C4—61no—
569C22×C4—181no—
570C22×C4—181no—
571C22×C4—181no—
572Q16—182no—
573SD16—62no—
574SD16—182no—
575D8—182no—
576C2×C8—31no—
577C2×C8—31no—
578C2×C8C2×D3211yescharacteristic
579C2×C8C2×D3211yescharacteristic
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—61no—
583C4⋊C4—91no—
584C4⋊C4—91no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C22⋊C4—61no—
591C22⋊C4—181no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C42—31no—
599C42—31no—
600C42—31no—
601C42—61no—
602C42—181no—
603C42—181no—
604C42—181no—
605C42C2×D3211yescharacteristic
606C22×C3—21no—
607C22×C3—61no—
608C22×C3—61no—
609C22×C3—61no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3—121no—
613C22×C3C22×D1211yescharacteristic
614C22×C3C2×D3×D411yescharacteristic
615C2×D3—21no—
616C2×D3—21no—
617C2×D3—21no—
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—62no—
622C2×D3—62no—
623C2×D3—122no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—241no—
629C2×D3—241no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—22no—
635C3×C4—41no—
636C3×C4—61no—
637C3×C4—61no—
638C3×C4—62no—
639C3×C4—61no—
640C3×C4—121no—
641C3×C4—121no—
642C3×C4#90412yes—
643C3×C4#91612yes—
644C3×C4C2×#23511yescharacteristic
645C3×C4D3×#4111yescharacteristic
646C3×C4D3×#4111yescharacteristic
647C3×C4D3×#4111yescharacteristic
648Dic3—21no—
649Dic3—21no—
650Dic3—21no—
651Dic3—22no—
652Dic3—41no—
653Dic3—41no—
654Dic3—122no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—121no—
661Dic3—241no—
662Dic3—241no—
663C32#310211yescharacteristic, complemented, Sylow
664C23—31no—
665C23—61no—
666C23—181no—
667Q8—32no—
668Q8—61no—
669Q8—181no—
670Q8—181no—
671D4—61no—
672D4—61no—
673D4—92no—
674D4—184no—
675D4—181no—
676D4—362no—
677C2×C4—31no—
678C2×C4—31no—
679C2×C4—31no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—62no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—121no—
687C2×C4—122no—
688C2×C4—184no—
689C2×C4—181no—
690C2×C4—181no—
691C2×C4—181no—
692C2×C4—362no—
693C2×C4—362no—
694C2×C4D3×D1211yescharacteristic
695C2×C4D3×D1211yescharacteristic
696C2×C4C22×D3211yescharacteristic
697C8—21no—
698C8—21no—
699C8—61no—
700C8—61no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—121no—
705C2×C3—241no—
706C2×C3#552411yescharacteristic
707C2×C3#554711yescharacteristic
708C2×C3C2×#90411yescharacteristic
709C2×C3#574811yescharacteristic
710C2×C3C2×#91611yescharacteristic
711C2×C3#576811yescharacteristic
712D3—41no—
713D3—81no—
714D3—122no—
715D3—122no—
716D3—242no—
717C22—61no—
718C22—61no—
719C22—61no—
720C22—121no—
721C22—121no—
722C22—121no—
723C22—182no—
724C22—361no—
725C22—361no—
726C22C2×D3×D1211yescharacteristic
727C4—21no—
728C4—61no—
729C4—61no—
730C4—61no—
731C4—62no—
732C4—121no—
733C4—121no—
734C4—361no—
735C4—361no—
736C4—361no—
737C4#6380612yes—
738C4D3×#23511yescharacteristic
739C4#6430611yescharacteristic
740C3—21no—
741C3#7929911yescharacteristic, complemented
742C3#7969411yescharacteristic, complemented
743C2—121no—
744C2—241no—
745C2—362no—
746C2#1059399711yescharacteristic
747C2#1059467611yescharacteristic
748C2C2×#6380611yescharacteristic
subgroupG/H
centerC2×C4D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×C8C22
socleC22×C32C22×D4
prime radical#10590823C2
hypercenterC4×C8D32
hypocenterC32#3102
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×C8

Complements

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

NH ≅ G/Ntype
1. #10593974C2semidirect
2. C4×#3799C2semidirect
3. C4×#3744C2semidirect
4. C3×C4×#204C2semidirect
5. C3×#4685C2semidirect
6. #10590970C2semidirect
7. #10590860C2semidirect
8. #10590859C2semidirect
9. #10590837C2semidirect
11. #10590815C2semidirect
12. #10590769C2semidirect
13. #10590709C2semidirect
14. C4×#3719C2semidirect
15. C4×#3714C2semidirect
90. C4×#204D3semidirect
91. #4685D3semidirect
663. C32#3102semidirect
741. C3#79299semidirect
742. C3#79694semidirect

Maximal subgroups

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

subgroupindex
#105939742
C4×#37992
C4×#37442
C3×C4×#2042
C3×#46852
#105909702
#105908602
#105908592
#105908372
#105908232
#105908152
#105907692
#105907092
C4×#37192
C4×#37142
#796943
#792993