Finite Group Databasebeta

← #11876918

Subgroups — #11876918

Order 1152.

794 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5580C211yesmaximal, characteristic, complemented
2#10593974C211yesmaximal, characteristic, complemented
3#10592729C211yesmaximal, characteristic, complemented
4C3×#5026C211yesmaximal, characteristic, complemented
5#10591614C211yesmaximal, characteristic, complemented
6#10591606C211yesmaximal, characteristic, complemented
7#10591598C211yesmaximal, characteristic, complemented
8#10591587C211yesmaximal, characteristic, complemented
9#10590588C211yesmaximal, characteristic, complemented
10#10590533C211yesmaximal, characteristic, complemented
11#10590504C211yesmaximal, characteristic
12#10590413C211yesmaximal, characteristic, complemented
13#10590360C211yesmaximal, characteristic, complemented
14#10590344C211yesmaximal, characteristic, complemented
15#10590334C211yesmaximal, characteristic, complemented
16#83139—31nomaximal
17#79793—31nomaximal
18C32×C4×Q8C2211yescharacteristic
19C2×#3756C2211yescharacteristic
20C4×#634C2211yescharacteristic
21C3×#947C2211yescharacteristic
22C3×#946C2211yescharacteristic
23C2×C3×#215C2211yescharacteristic
24C3×#898—21no—
25C3×#895C2211yescharacteristic
26C3×#894—21no—
27C3×#890C2211yescharacteristic
28C3×C4×D12—21no—
29C3×C4×D12C2211yescharacteristic
30C3×C4×D12C2211yescharacteristic
31C3×#872—21no—
32C3×C42×D3C2211yescharacteristic
33#63908C2211yescharacteristic
34#63905—21no—
35C4×#625—21no—
36#63869C2211yescharacteristic
37#63860C2211yescharacteristic
38#63859—21no—
39#63857C2211yescharacteristic
40#63855—21no—
41C2×#3716C2211yescharacteristic
42C2×#3713C2211yescharacteristic
43C2×#3711C2211yescharacteristic
44C2×#3711C2211yescharacteristic
45#63662C2211yescharacteristic
46#63637C2211yescharacteristic
47#63635C2211yescharacteristic
48#63630C2211yescharacteristic
49C3×#835C2211yescharacteristic
50C3×#809C2211yescharacteristic
51C3×#807C2211yescharacteristic
52C3×#803C2211yescharacteristic
53#63575C2211yescharacteristic
54#63574C2211yescharacteristic
55#63567C2211yescharacteristic
56#63563C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#529—31no—
62#5580D311yescharacteristic, complemented
63#5557—31no—
64#5479—31no—
65C3×#440—31no—
66#5174—31no—
67#5168—31no—
68#5068—31no—
69#5065—31no—
70#5059—31no—
71#5056—31no—
72#5052—31no—
73#5049—31no—
74#5042—31no—
75#5039—31no—
76#5030—31no—
77#5030—31no—
78#5030—61no—
79#5026D311yescharacteristic, complemented
80#5018—31no—
81#5014—31no—
82#5014—31no—
83C4×#208—31no—
84#4886—31no—
85#4878—31no—
86#4816—31no—
87#4800—31no—
88#4782—31no—
89#4768—31no—
90#4710—31no—
91#4707—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×C3×D12—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3D411yescharacteristic
100C2×C3×C4×D3D411yescharacteristic
101C2×C3×C4×D3C2311yescharacteristic
102C2×#625—21no—
103C32×C4⋊C4—21no—
104C32×C4⋊C4C2311yescharacteristic
105C32×C42—21no—
106C32×C42C2311yescharacteristic
107#3756—22no—
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109#3750—21no—
110C4×C3⋊Dic3—21no—
111C2×C3⋊(C3⋊C8)C2311yescharacteristic
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C3×#215—22no—
114C3×(C2×D3)⋊C4—21no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3D411yescharacteristic
126C3×C4×Dic3D411yescharacteristic
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137#3716—22no—
138#3713—22no—
139#3711—22no—
140#3711—22no—
141#3183—91noSylow
142C2×C3×SD16—31no—
143C3×#126—61no—
144C3×#125—31no—
145C3×#124—31no—
146C3×#123—61no—
147C3×C22⋊Q8—31no—
148C3×#121—31no—
149C3×C4×Q8—21no—
150C3×C4×Q8C2×D311yescharacteristic
151C3×C4×Q8C2×D311yescharacteristic
152C3×C4×D4—31no—
153C3×C4×D4—31no—
154C3×C4×D4—61no—
155C3×#117—61no—
156C2×C3×C42—31no—
157#947C2×D311yescharacteristic
158#946C2×D311yescharacteristic
159C2×#216—31no—
160C2×#216—31no—
161C2×#216—61no—
162C2×#215C2×D311yescharacteristic
163#938—31no—
164#936—31no—
165C2×#214—31no—
166C2×#213—31no—
167C2×#213—31no—
168#930—31no—
169#929—61no—
170C4×#67—61no—
171C4×#67—61no—
172#926—61no—
173#924—31no—
174C2×#208—31no—
175C2×#208—31no—
176C2×#204—31no—
177C2×ΓL(1,𝔽25)—31no—
178C2×ΓL(1,𝔽25)—31no—
179#898—21no—
180#897—31no—
181#895C2×D311yescharacteristic
182#894—21no—
183#890—31no—
184#890C2×D311yescharacteristic
185#883—61no—
186#879—61no—
187#876—61no—
188#875—31no—
189C4×D12—21no—
190C4×D12C2×D311yescharacteristic
191C4×D12C2×D311yescharacteristic
192#872—21no—
193#872—61no—
194C42×D3C2×D311yescharacteristic
195#870—31no—
196C4×Dic6—31no—
197C4×Dic6—31no—
198C4×Dic6—61no—
199C3×#107—31no—
200C3×#103—31no—
201C3×#102—31no—
202C3×#97—31no—
203#835—31no—
204#835—31no—
205#835—61no—
206#835C2×D311yescharacteristic
207#832—31no—
208#832—31no—
209#832—31no—
210#821—31no—
211#818—31no—
212#816—31no—
213C8×Dic3—31no—
214C8×Dic3—31no—
215#810—31no—
216#810—31no—
217#810—31no—
218#810—61no—
219#809—31no—
220#809—31no—
221#809C2×D311yescharacteristic
222#808—31no—
223#808—31no—
224#808—31no—
225#808—31no—
226#808—61no—
227#807—31no—
228#807C2×D311yescharacteristic
229#803—31no—
230#803—31no—
231#803—61no—
232#803C2×D311yescharacteristic
233C4×C3⋊C8—31no—
234C4×C3⋊C8—31no—
235C22×C3×D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×Q8—21no—
239C32×Q8—21no—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2×D411yescharacteristic
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247#634—21no—
248#634—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—21no—
258C3×D12—42no—
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—41no—
262C3×C4×D3—41no—
263C3×C4×D3—42no—
264C3×C4×D3—42no—
265#625—42no—
266C3⋊(C3⋊C8)—21no—
267C3⋊(C3⋊C8)#4112yes—
268C3×C3⋊C8—21no—
269C3×C3⋊C8#4112yes—
270#529—31no—
271#529—91no—
272#499—91no—
273#495—91no—
274#488—91no—
275#488—91no—
276#470—91no—
277#469—91no—
278#468—91no—
279#468—91no—
280#442—91no—
281#441—91no—
282#440—31no—
283#440—91no—
284C4×M16—91no—
285C2×C3×Q8—21no—
286C2×C3×Q8C22×D311yescharacteristic
287C2×C3×Q8C22×D311yescharacteristic
288C2×C3×D4—31no—
289C2×C3×D4—31no—
290C2×C3×D4—61no—
291C22×C3×C4—31no—
292C22×C3×C4—31no—
293C22×C3×C4—31no—
294C22×C3×C4—61no—
295C22×C3×C4—61no—
296C2×#67—61no—
297C2×#67—61no—
298C2×D12—21no—
299C2×D12C22×D311yescharacteristic
300C2×D12C22×D311yescharacteristic
301C2×C4×D3—21no—
302C2×C4×D3—21no—
303C2×C4×D3#6711yescharacteristic
304C2×C4×D3#6711yescharacteristic
305C2×C4×D3C22×D311yescharacteristic
306C2×Dic6—31no—
307C2×Dic6—31no—
308C2×Dic6—61no—
309C3×SD16—62no—
310C2×C3×C8—31no—
311C2×C3×C8—31no—
312C3×C4⋊C4—21no—
313C3×C4⋊C4—21no—
314C3×C4⋊C4—21no—
315C3×C4⋊C4—31no—
316C3×C4⋊C4—31no—
317C3×C4⋊C4—41no—
318C3×C4⋊C4—61no—
319C3×C4⋊C4—61no—
320C3×C4⋊C4—61no—
321C3×C4⋊C4C22×D311yescharacteristic
322C3×C4⋊C4C22×D311yescharacteristic
323C3×C22⋊C4—61no—
324C3×C22⋊C4—61no—
325C3×C22⋊C4—61no—
326C3×C22⋊C4—61no—
327C3×C22⋊C4—61no—
328C3×C22⋊C4—61no—
329C3×C42—21no—
330C3×C42—21no—
331C3×C42—21no—
332C3×C42—31no—
333C3×C42—31no—
334C3×C42—31no—
335C3×C42—41no—
336C3×C42C22×D311yescharacteristic
337C3×C42C22×D311yescharacteristic
338#217—61no—
339#217—61no—
340#217—61no—
341#217—61no—
342#216—62no—
343#216—62no—
344#216—64no—
345#215—22no—
346#214—62no—
347#213—62no—
348#213—62no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
353(C2×D3)⋊C4—21no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359C4⋊Dic3—21no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3C22×D311yescharacteristic
366C4⋊Dic3C22×D311yescharacteristic
367Dic3⋊C4—21no—
368Dic3⋊C4—21no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—121no—
376C4×Dic3—61no—
377C4×Dic3—61no—
378C4×Dic3—121no—
379C4×Dic3#6711yescharacteristic
380C4×Dic3#6711yescharacteristic
381C4×Dic3C22×D311yescharacteristic
382#208—62no—
383#208—62no—
384C2×C3⋊C8—31no—
385C2×C3⋊C8—31no—
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—61no—
389C2×C3⋊C8—61no—
390C2×C3⋊C8C22×D311yescharacteristic
391C2×C3⋊C8C22×D311yescharacteristic
392#204—62no—
393ΓL(1,𝔽25)—62no—
394ΓL(1,𝔽25)—62no—
395C22×C32C22×D411yescharacteristic
396C2×C3×D3—21no—
397C2×C3×D3—21no—
398C2×C3×D3—21no—
399C2×C3×D3—41no—
400C2×C3×D3—41no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C32×C4—21no—
406C32×C4—21no—
407C32×C4—41no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—41no—
412C3⋊Dic3—41no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C2×Q16—91no—
419C2×SD16—31no—
420C2×SD16—91no—
421C2×D8—91no—
422C2×M16—91no—
423C2×M16—91no—
424#126—61no—
425#126—181no—
426#125—31no—
427#125—91no—
428#124—31no—
429#124—91no—
430#123—61no—
431#123—181no—
432C22⋊Q8—31no—
433C22⋊Q8—91no—
434#121—31no—
435#121—91no—
436C4×Q8—91no—
437C4×Q8D3211yescharacteristic
438C4×D4—31no—
439C4×D4—31no—
440C4×D4—61no—
441C4×D4—181no—
442#117—61no—
443#117—181no—
444C2×C42—31no—
445#107—31no—
446#107—91no—
447#106—91no—
448#106—91no—
449#103—31no—
450#103—91no—
451#103—91no—
452#103—91no—
453#102—31no—
454#102—91no—
455#102—91no—
456#102—91no—
457#97—31no—
458#97—91no—
459C4×C8—91no—
460C4×C8—91no—
461C23×C3—31no—
462C23×C3—61no—
463C23×C3—61no—
464C22×D3—21no—
465C22×D3—21no—
466C22×D3C2×#6711yescharacteristic
467C3×Q8—22no—
468C3×Q8—21no—
469C3×Q8—21no—
470C3×Q8—21no—
471C3×Q8—21no—
472C3×Q8—41no—
473C3×D4—61no—
474C3×D4—61no—
475C3×D4—61no—
476C3×D4—61no—
477C3×D4—122no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—41no—
489C2×C3×C4—41no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—121no—
495C2×C3×C4—121no—
496C2×C3×C4—122no—
497C2×C3×C4—122no—
498C2×C3×C4D3×D411yescharacteristic
499C2×C3×C4D3×D411yescharacteristic
500C2×C3×C4C2×#6711yescharacteristic
501C2×C3×C4C2×#6711yescharacteristic
502C2×C3×C4C23×D311yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504#67—122no—
505#67—122no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—121no—
513C2×Dic3—121no—
514C2×Dic3C2×#6711yescharacteristic
515C2×Dic3C2×#6711yescharacteristic
516C2×Dic3C2×#6711yescharacteristic
517D12—21no—
518D12—21no—
519D12—21no—
520D12—21no—
521D12—42no—
522C4×D3—21no—
523C4×D3—21no—
524C4×D3—41no—
525C4×D3—41no—
526C4×D3—42no—
527C4×D3—42no—
528Dic6—62no—
529Dic6—61no—
530Dic6—61no—
531Dic6—61no—
532Dic6—61no—
533Dic6—121no—
534C3×C8—32no—
535C3×C8—61no—
536C3⋊C8—21no—
537C3⋊C8—32no—
538C3⋊C8—32no—
539C3⋊C8—62no—
540C3⋊C8—61no—
541C3⋊C8—61no—
542C3⋊C8—121no—
543C3⋊C8#23512yes—
544C2×C32#53211yescharacteristic
545C2×C32#57511yescharacteristic
546C2×C32#57511yescharacteristic
547C3×D3—41no—
548C3×D3—81no—
549C3×D3—81no—
550C2×Q8—91no—
551C2×Q8C2×D3211yescharacteristic
552C2×D4—31no—
553C2×D4—31no—
554C2×D4—61no—
555C2×D4—181no—
556C22×C4—31no—
557C22×C4—31no—
558C22×C4—31no—
559C22×C4—61no—
560C22×C4—61no—
561Q16—182no—
562SD16—62no—
563SD16—182no—
564D8—182no—
565M16—182no—
566M16—182no—
567C2×C8—31no—
568C2×C8—31no—
569C2×C8—91no—
570C2×C8—91no—
571C4⋊C4—21no—
572C4⋊C4—31no—
573C4⋊C4—31no—
574C4⋊C4—61no—
575C4⋊C4—61no—
576C4⋊C4—61no—
577C4⋊C4—91no—
578C4⋊C4—181no—
579C4⋊C4—181no—
580C4⋊C4—181no—
581C4⋊C4—181no—
582C4⋊C4C2×D3211yescharacteristic
583C22⋊C4—61no—
584C22⋊C4—61no—
585C22⋊C4—61no—
586C22⋊C4—61no—
587C22⋊C4—61no—
588C22⋊C4—61no—
589C22⋊C4—181no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C22⋊C4—181no—
593C42—21no—
594C42—31no—
595C42—31no—
596C42—31no—
597C42—181no—
598C42C2×D3211yescharacteristic
599C22×C3—21no—
600C22×C3—61no—
601C22×C3—61no—
602C22×C3—61no—
603C22×C3—121no—
604C22×C3—121no—
605C22×C3—121no—
606C22×C3—121no—
607C22×C3—121no—
608C22×C3—121no—
609C22×C3C2×D3×D411yescharacteristic
610C22×C3C22×#6711yescharacteristic
611C2×D3—21no—
612C2×D3—21no—
613C2×D3—21no—
614C2×D3—41no—
615C2×D3—41no—
616C2×D3—41no—
617C2×D3—41no—
618C2×D3—41no—
619C2×D3—41no—
620C3×C4—21no—
621C3×C4—21no—
622C3×C4—21no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—41no—
627C3×C4—41no—
628C3×C4—42no—
629C3×C4—41no—
630C3×C4—41no—
631C3×C4—41no—
632C3×C4—41no—
633C3×C4—61no—
634C3×C4—61no—
635C3×C4—61no—
636C3×C4—81no—
637C3×C4—121no—
638C3×C4—121no—
639C3×C4C2×#23511yescharacteristic
640C3×C4D3×#4111yescharacteristic
641C3×C4D3×#4111yescharacteristic
642C3×C4D3×#4111yescharacteristic
643Dic3—21no—
644Dic3—21no—
645Dic3—21no—
646Dic3—41no—
647Dic3—41no—
648Dic3—122no—
649Dic3—121no—
650Dic3—121no—
651Dic3—121no—
652Dic3—121no—
653Dic3—241no—
654C32#318311yescharacteristic, complemented, Sylow
655C23—31no—
656C23—61no—
657C23—61no—
658Q8—21no—
659Q8—21no—
660Q8—181no—
661Q8—181no—
662D4—61no—
663D4—61no—
664D4—61no—
665D4—61no—
666D4—122no—
667D4—362no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—31no—
671C2×C4—31no—
672C2×C4—31no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—122no—
680C2×C4—122no—
681C2×C4—181no—
682C2×C4—181no—
683C2×C4D3×#6711yescharacteristic
684C2×C4D3×#6711yescharacteristic
685C2×C4C22×D3211yescharacteristic
686C8—32no—
687C8—61no—
688C8—92no—
689C8—181no—
690C2×C3—21no—
691C2×C3—21no—
692C2×C3—21no—
693C2×C3—121no—
694C2×C3—241no—
695C2×C3—241no—
696C2×C3#554811yescharacteristic
697C2×C3#577311yescharacteristic
698C2×C3#577711yescharacteristic
699C2×C3#582211yescharacteristic
700C2×C3#582211yescharacteristic
701C2×C3#583211yescharacteristic
702D3—41no—
703D3—81no—
704D3—81no—
705C22—61no—
706C22—61no—
707C22—61no—
708C22—121no—
709C22—121no—
710C22—121no—
711C22—121no—
712C22—121no—
713C22—121no—
714C22C2×D3×#6711yescharacteristic
715C4—21no—
716C4—21no—
717C4—41no—
718C4—41no—
719C4—61no—
720C4—61no—
721C4—61no—
722C4—121no—
723C4—121no—
724C4—361no—
725C4—361no—
726C4D3×#23511yescharacteristic
727C4#6430611yescharacteristic
728C3—21no—
729C3#7979311yescharacteristic, complemented
730C3#8313911yescharacteristic, complemented
731C2—121no—
732C2—241no—
733C2—241no—
734C2#1059500311yescharacteristic
735C2#1059531711yescharacteristic
736C2#1059546911yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×Q8C22
socleC22×C32C22×D4
prime radical#10590504C2
hypercenterC4×Q8D32
hypocenterC32#3183
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. C3×#5580C2semidirect
2. #10593974C2semidirect
3. #10592729C2semidirect
4. C3×#5026C2semidirect
5. #10591614C2semidirect
6. #10591606C2semidirect
7. #10591598C2semidirect
8. #10591587C2semidirect
9. #10590588C2semidirect
10. #10590533C2semidirect
12. #10590413C2semidirect
13. #10590360C2semidirect
14. #10590344C2semidirect
15. #10590334C2semidirect
62. #5580D3semidirect
79. #5026D3semidirect
654. C32#3183semidirect
729. C3#79793semidirect
730. C3#83139semidirect

Maximal subgroups

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

subgroupindex
C3×#55802
#105939742
#105927292
C3×#50262
#105916142
#105916062
#105915982
#105915872
#105905882
#105905332
#105905042
#105904132
#105903602
#105903442
#105903342
#831393
#797933