Finite Group Databasebeta

← #11876942

Subgroups — #11876942

Order 1152.

788 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595376C211yesmaximal, characteristic, complemented
2#10594444C211yesmaximal, characteristic, complemented
3#10592499C211yesmaximal, characteristic, complemented
4C3×#4817C211yesmaximal, characteristic, complemented
5C3×#4816C211yesmaximal, characteristic, complemented
6#10591610C211yesmaximal, characteristic, complemented
7#10591587C211yesmaximal, characteristic, complemented
8#10591576C211yesmaximal, characteristic, complemented
9#10590868C211yesmaximal, characteristic, complemented
10#10590827C211yesmaximal, characteristic
11#10590795C211yesmaximal, characteristic, complemented
12#10590667C211yesmaximal, characteristic, complemented
13#10590589C211yesmaximal, characteristic, complemented
14#10590585C211yesmaximal, characteristic, complemented
15#10590417C211yesmaximal, characteristic, complemented
16#80892—31nomaximal
17#79793—31nomaximal
18#64156C2211yescharacteristic
19#64099C2211yescharacteristic
20C3×#946C2211yescharacteristic
21C3×Q8×Dic3C2211yescharacteristic
22C2×C3×#216C2211yescharacteristic
23C2×C3×#215C2211yescharacteristic
24C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#893C2211yescharacteristic
27#63909C2211yescharacteristic
28#63908C2211yescharacteristic
29#63894C2211yescharacteristic
30#63891—21no—
31#63890—21no—
32#63880—21no—
33#63879—21no—
34C4×D3×Dic3C2211yescharacteristic
35#63872C2211yescharacteristic
36#63863C2211yescharacteristic
37#63858—21no—
38#63848—21no—
39Dic3×Dic6C2211yescharacteristic
40#63841—21no—
41#63836—21no—
42C2×#3717C2211yescharacteristic
43C2×#3714C2211yescharacteristic
44C2×#3711C2211yescharacteristic
45C32×#103C2211yescharacteristic
46#63662C2211yescharacteristic
47#63648C2211yescharacteristic
48C8×C3⋊Dic3C2211yescharacteristic
49#63636C2211yescharacteristic
50C3×#821C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#815C2211yescharacteristic
53C3×#808C2211yescharacteristic
54C3×#807C2211yescharacteristic
55#63575C2211yescharacteristic
56#63573C2211yescharacteristic
57#63565C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60#63553C2211yescharacteristic
61#5624—31no—
62#5624—31no—
63#5580—31no—
64#5557—31no—
65C3×#470—31no—
66C3×#440—31no—
67#5191—31no—
68#5184—31no—
69#5174—31no—
70#5168—31no—
71#5135—31no—
72Dic3×M16—31no—
73#5049—31no—
74#5049—31no—
75#5030—31no—
76#5014—31no—
77#4886—31no—
78#4878—31no—
79#4869—31no—
80#4858—31no—
81#4817—31no—
82#4817D311yescharacteristic, complemented
83#4816D311yescharacteristic, complemented
84#4800—31no—
85#4800—31no—
86#4800—31no—
87#4800—61no—
88#4782—31no—
89#4768—31no—
90#4710—31no—
91#4707—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C3×D12C2311yescharacteristic
95C2×C3×C4×D3—21no—
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×#626—21no—
99C2×#625—21no—
100C2×#624—21no—
101C2×D3×Dic3D411yescharacteristic
102C2×D3×Dic3D411yescharacteristic
103C2×C32×C8C2311yescharacteristic
104C32×C4⋊C4C2311yescharacteristic
105#3752—21no—
106#3752—21no—
107C4⋊(C3⋊Dic3)—21no—
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109#3750—21no—
110C4×C3⋊Dic3C2311yescharacteristic
111C2×C3⋊(C3⋊C8)C2311yescharacteristic
112C3×#216—22no—
113C3×#215—22no—
114C3×(C2×D3)⋊C4—21no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×C4×Dic3—21no—
123C3×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C3×ΓL(1,𝔽25)—22no—
127Dic3⋊Dic3—21no—
128Dic3⋊Dic3—21no—
129Dic3⋊Dic3—21no—
130#3722—21no—
131#3722—21no—
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135Dic32—21no—
136Dic32D411yescharacteristic
137Dic32D411yescharacteristic
138#3717—22no—
139#3714—22no—
140#3711—22no—
141#3183—91noSylow
142C2×C3×Q16—31no—
143C2×C3×SD16—31no—
144C2×C3×M16—31no—
145C3×C22⋊Q8—31no—
146C3×C22⋊Q8—31no—
147C3×C4×Q8—31no—
148C3×C4×D4—31no—
149#947—31no—
150#947—31no—
151#947—31no—
152#947—61no—
153#946C2×D311yescharacteristic
154Q8×Dic3—31no—
155Q8×Dic3C2×D311yescharacteristic
156C2×#216C2×D311yescharacteristic
157C2×#215—31no—
158C2×#215C2×D311yescharacteristic
159#938—31no—
160#936—31no—
161C2×#213—31no—
162#930—31no—
163#930—31no—
164C4×#67—61no—
165#926—61no—
166C2×C4×Dic3—31no—
167C2×#208—31no—
168C2×D24—31no—
169C2×#204—31no—
170C2×ΓL(1,𝔽25)—31no—
171C2×ΓL(1,𝔽25)C2×D311yescharacteristic
172#898—61no—
173#898—61no—
174#898—61no—
175#897C2×D311yescharacteristic
176#895—31no—
177#894—61no—
178#893—31no—
179#893C2×D311yescharacteristic
180#892—61no—
181#892—61no—
182#890—31no—
183#890—31no—
184#890—31no—
185#890—31no—
186#890—61no—
187#886—61no—
188#886—61no—
189#883—61no—
190#67⋊C4—61no—
191#67⋊C4—61no—
192#879—61no—
193C4×D12—31no—
194C4×D12—61no—
195#872—61no—
196C42×D3—31no—
197C4×Dic6—31no—
198C3×#107—31no—
199C3×#106—31no—
200C3×#103—21no—
201C3×#103—31no—
202C3×#103C2×D311yescharacteristic
203C3×#103C2×D311yescharacteristic
204C3×#102—31no—
205C3×#97—31no—
206#835—31no—
207#835—31no—
208#835—31no—
209#835—61no—
210#832—31no—
211#821—31no—
212#821—31no—
213#821—61no—
214#821C2×D311yescharacteristic
215#818—31no—
216#817—31no—
217#816C2×D311yescharacteristic
218#815—31no—
219#815C2×D311yescharacteristic
220C8×Dic3—31no—
221C8×Dic3—31no—
222C8×Dic3—31no—
223C8×Dic3—31no—
224C8×Dic3—61no—
225#810—31no—
226#809—31no—
227#809—31no—
228#809—31no—
229#809—61no—
230#808—31no—
231#808C2×D311yescharacteristic
232#807—31no—
233#807C2×D311yescharacteristic
234#803—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×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3C2×D411yescharacteristic
245C2×C3⋊Dic3C2×D411yescharacteristic
246C4⋊(C3⋊D3)—21no—
247C4⋊(C3⋊D3)—21no—
248C2×C3×Dic3—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×C4×D3—21no—
257C3×C4×D3—21no—
258C3×C4×D3—42no—
259C3×Dic6—21no—
260C3×Dic6—21no—
261#626—42no—
262#625—42no—
263#624—42no—
264D3×Dic3—41no—
265D3×Dic3—41no—
266C32×C8—21no—
267C3⋊(C3⋊C8)—21no—
268C3×C3⋊C8#4112yes—
269C3×C3⋊C8#4112yes—
270#529—91no—
271#529—91no—
272#499—91no—
273#495—91no—
274#488—91no—
275#488—91no—
276#470—31no—
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×Q8—31no—
287C2×C3×Q8C22×D311yescharacteristic
288C2×C3×Q8C22×D311yescharacteristic
289C2×C3×D4—31no—
290C22×C3×C4—31no—
291C22×C3×C4—61no—
292C2×#67—61no—
293C2×#67—61no—
294C2×#67—61no—
295C22×Dic3—31no—
296C22×Dic3—31no—
297C2×D12—31no—
298C2×D12—31no—
299C2×D12—61no—
300C2×D12—61no—
301C2×D12C22×D311yescharacteristic
302C2×C4×D3—21no—
303C2×C4×D3—31no—
304C2×C4×D3—31no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3C22×D311yescharacteristic
308C2×Dic6C22×D311yescharacteristic
309C3×Q16—62no—
310C3×SD16—62no—
311C3×M16—62no—
312C2×C3×C8—21no—
313C2×C3×C8—31no—
314C2×C3×C8—31no—
315C2×C3×C8C22×D311yescharacteristic
316C2×C3×C8C22×D311yescharacteristic
317C3×C4⋊C4—21no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—61no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4C22×D311yescharacteristic
324C3×C4⋊C4C22×D311yescharacteristic
325C3×C22⋊C4—61no—
326C3×C22⋊C4—61no—
327C3×C22⋊C4—61no—
328C3×C42—31no—
329C3×C42—61no—
330#217—61no—
331#217—61no—
332#217—61no—
333#216—22no—
334#215—22no—
335#215—62no—
336#213—62no—
337(C2×D3)⋊C4—21no—
338(C2×D3)⋊C4—21no—
339(C2×D3)⋊C4—21no—
340(C2×D3)⋊C4—61no—
341(C2×D3)⋊C4—61no—
342(C2×D3)⋊C4—61no—
343(C2×D3)⋊C4—61no—
344(C2×D3)⋊C4—61no—
345(C2×D3)⋊C4—61no—
346(C2×D3)⋊C4—61no—
347(C2×D3)⋊C4—61no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—121no—
352(C2×D3)⋊C4—121no—
353C4⋊Dic3—21no—
354C4⋊Dic3—21no—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—121no—
364C4⋊Dic3C22×D311yescharacteristic
365C4⋊Dic3C22×D311yescharacteristic
366Dic3⋊C4—21no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—121no—
373C4×Dic3—21no—
374C4×Dic3—31no—
375C4×Dic3—31no—
376C4×Dic3—31no—
377C4×Dic3—31no—
378C4×Dic3—31no—
379C4×Dic3—31no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3C22×D311yescharacteristic
384#208—62no—
385C2×C3⋊C8—31no—
386C2×C3⋊C8—31no—
387C2×C3⋊C8—61no—
388C2×C3⋊C8C22×D311yescharacteristic
389C2×C3⋊C8C22×D311yescharacteristic
390D24—62no—
391#204—62no—
392ΓL(1,𝔽25)—22no—
393ΓL(1,𝔽25)—62no—
394C22×C32C22×D411yescharacteristic
395C2×C3⋊D3—41no—
396C2×C3⋊D3—41no—
397C2×C3⋊D3—41no—
398C2×C3×D3—21no—
399C2×C3×D3—21no—
400C2×C3×D3—21no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C32×C4—41no—
405C32×C4—41no—
406C32×C4C2×#4111yescharacteristic
407C32×C4C2×#4111yescharacteristic
408C3⋊Dic3—21no—
409C3⋊Dic3—21no—
410C3⋊Dic3—41no—
411C3×Dic3—21no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—41no—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C2×Q16—31no—
418C2×SD16—31no—
419C2×SD16—91no—
420C2×D8—91no—
421C2×M16—31no—
422C2×M16—91no—
423#126—181no—
424#126—181no—
425#125—91no—
426#125—91no—
427#124—91no—
428#124—91no—
429#123—181no—
430#123—181no—
431C22⋊Q8—31no—
432C22⋊Q8—31no—
433#121—91no—
434#121—91no—
435C4×Q8—31no—
436C4×Q8—91no—
437C4×D4—31no—
438C4×D4—91no—
439C4×D4—181no—
440C4×D4—181no—
441#117—181no—
442#117—181no—
443C2×C42—91no—
444#107—31no—
445#107—91no—
446#106—31no—
447#106—91no—
448#103—31no—
449#103—91no—
450#103—91no—
451#103D3211yescharacteristic
452#102—31no—
453#102—91no—
454#102—91no—
455#102—91no—
456#97—31no—
457#97—91no—
458C4×C8—91no—
459C4×C8—91no—
460C23×C3—31no—
461C23×C3—61no—
462C22×D3—21no—
463C22×D3—61no—
464C22×D3—61no—
465C22×D3—121no—
466C22×D3D3×D411yescharacteristic
467C3×Q8—21no—
468C3×Q8—21no—
469C3×Q8—21no—
470C3×Q8—21no—
471C3×Q8—41no—
472C3×Q8—41no—
473C3×Q8—61no—
474C3×Q8—61no—
475C3×D4—61no—
476C3×D4—61no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—31no—
483C2×C3×C4—31no—
484C2×C3×C4—31no—
485C2×C3×C4—41no—
486C2×C3×C4—41no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—122no—
493C2×C3×C4C23×D311yescharacteristic
494C2×C3×C4C23×D311yescharacteristic
495#67—122no—
496#67—122no—
497#67—122no—
498C2×Dic3—21no—
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3—31no—
502C2×Dic3—31no—
503C2×Dic3—31no—
504C2×Dic3—31no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—121no—
510C2×Dic3—121no—
511C2×Dic3—121no—
512C2×Dic3D3×D411yescharacteristic
513C2×Dic3D3×D411yescharacteristic
514C2×Dic3D3×D411yescharacteristic
515D12—21no—
516D12—21no—
517D12—61no—
518D12—61no—
519D12—61no—
520D12—61no—
521D12—121no—
522D12—121no—
523D12—122no—
524C4×D3—21no—
525C4×D3—21no—
526C4×D3—42no—
527C4×D3—122no—
528C4×D3—122no—
529C4×D3—121no—
530C4×D3—121no—
531Dic6—21no—
532Dic6—21no—
533C3×C8—21no—
534C3×C8—21no—
535C3×C8—32no—
536C3×C8—32no—
537C3×C8—41no—
538C3⋊C8—61no—
539C3⋊C8—61no—
540C3⋊C8—121no—
541C3⋊C8#23512yes—
542C3⋊C8#23712yes—
543C2×C32#53211yescharacteristic
544C2×C32#57511yescharacteristic
545C2×C32#57511yescharacteristic
546C3⋊D3—81no—
547C3×D3—41no—
548C3×D3—81no—
549C2×Q8—31no—
550C2×Q8C2×D3211yescharacteristic
551C2×D4—31no—
552C2×D4—91no—
553C2×D4—181no—
554C2×D4—181no—
555C22×C4—31no—
556C22×C4—61no—
557C22×C4—91no—
558C22×C4—91no—
559C22×C4—181no—
560Q16—62no—
561SD16—62no—
562SD16—182no—
563D8—182no—
564M16—62no—
565M16—182no—
566C2×C8—31no—
567C2×C8—31no—
568C2×C8—91no—
569C2×C8C2×D3211yescharacteristic
570C4⋊C4—31no—
571C4⋊C4—31no—
572C4⋊C4—61no—
573C4⋊C4—61no—
574C4⋊C4—61no—
575C4⋊C4—91no—
576C4⋊C4—181no—
577C4⋊C4—181no—
578C4⋊C4—181no—
579C4⋊C4—181no—
580C4⋊C4—181no—
581C4⋊C4C2×D3211yescharacteristic
582C22⋊C4—61no—
583C22⋊C4—61no—
584C22⋊C4—61no—
585C22⋊C4—181no—
586C22⋊C4—181no—
587C22⋊C4—181no—
588C22⋊C4—181no—
589C22⋊C4—181no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C42—31no—
593C42—61no—
594C42—91no—
595C42—91no—
596C42—91no—
597C42—181no—
598C22×C3—21no—
599C22×C3—61no—
600C22×C3—61no—
601C22×C3—61no—
602C22×C3—121no—
603C22×C3—121no—
604C22×C3—121no—
605C22×C3C2×D3×D411yescharacteristic
606C22×C3C2×D3×D411yescharacteristic
607C2×D3—21no—
608C2×D3—21no—
609C2×D3—21no—
610C2×D3—41no—
611C2×D3—41no—
612C2×D3—41no—
613C2×D3—121no—
614C2×D3—121no—
615C2×D3—121no—
616C2×D3—121no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—241no—
620C2×D3—241no—
621C2×D3—241no—
622C3×C4—21no—
623C3×C4—21no—
624C3×C4—41no—
625C3×C4—41no—
626C3×C4—41no—
627C3×C4—41no—
628C3×C4—61no—
629C3×C4—61no—
630C3×C4—61no—
631C3×C4—81no—
632C3×C4—81no—
633C3×C4—121no—
634C3×C4—121no—
635C3×C4—121no—
636C3×C4C2×#23511yescharacteristic
637C3×C4C2×#23711yescharacteristic
638C3×C4D3×#4111yescharacteristic
639C3×C4D3×#4111yescharacteristic
640Dic3—21no—
641Dic3—21no—
642Dic3—21no—
643Dic3—41no—
644Dic3—41no—
645Dic3—41no—
646Dic3—61no—
647Dic3—61no—
648Dic3—61no—
649Dic3—61no—
650Dic3—121no—
651Dic3—121no—
652Dic3—121no—
653Dic3—121no—
654Dic3—241no—
655C32#318311yescharacteristic, complemented, Sylow
656C23—31no—
657C23—61no—
658C23—181no—
659Q8—21no—
660Q8—21no—
661Q8—61no—
662Q8—61no—
663D4—61no—
664D4—61no—
665D4—181no—
666D4—181no—
667D4—362no—
668D4—362no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—31no—
672C2×C4—31no—
673C2×C4—31no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—61no—
679C2×C4—91no—
680C2×C4—91no—
681C2×C4—122no—
682C2×C4—181no—
683C2×C4—362no—
684C2×C4—361no—
685C2×C4—361no—
686C2×C4C22×D3211yescharacteristic
687C8—21no—
688C8—32no—
689C8—32no—
690C8—181no—
691C2×C3—21no—
692C2×C3—21no—
693C2×C3—21no—
694C2×C3—121no—
695C2×C3—241no—
696C2×C3#554811yescharacteristic
697C2×C3#559611yescharacteristic
698C2×C3#577311yescharacteristic
699C2×C3#577711yescharacteristic
700C2×C3#577711yescharacteristic
701C2×C3#577711yescharacteristic
702D3—41no—
703D3—81no—
704D3—241no—
705D3—241no—
706D3—481no—
707C22—61no—
708C22—61no—
709C22—61no—
710C22—121no—
711C22—121no—
712C22—121no—
713C22—361no—
714C22—361no—
715C22—361no—
716C22D32×D411yescharacteristic
717C4—41no—
718C4—41no—
719C4—61no—
720C4—61no—
721C4—61no—
722C4—121no—
723C4—121no—
724C4—121no—
725C4—181no—
726C4—181no—
727C4—361no—
728C4D3×#23511yescharacteristic
729C4D3×#23711yescharacteristic
730C3—21no—
731C3#7979311yescharacteristic, complemented
732C3#8089211yescharacteristic, complemented
733C2—121no—
734C2—241no—
735C2—721no—
736C2#1059405811yescharacteristic
737C2#1059474411yescharacteristic
738C2#1059476211yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radical#10590827C2
hypercenter#103D32
hypocenterC32#3183
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
1. #10595376C2semidirect
2. #10594444C2semidirect
3. #10592499C2semidirect
4. C3×#4817C2semidirect
5. C3×#4816C2semidirect
6. #10591610C2semidirect
7. #10591587C2semidirect
8. #10591576C2semidirect
9. #10590868C2semidirect
11. #10590795C2semidirect
12. #10590667C2semidirect
13. #10590589C2semidirect
14. #10590585C2semidirect
15. #10590417C2semidirect
82. #4817D3semidirect
83. #4816D3semidirect
655. C32#3183semidirect
731. C3#79793semidirect
732. C3#80892semidirect

Maximal subgroups

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

subgroupindex
#105953762
#105944442
#105924992
C3×#48172
C3×#48162
#105916102
#105915872
#105915762
#105908682
#105908272
#105907952
#105906672
#105905892
#105905852
#105904172
#808923
#797933