Finite Group Databasebeta

← #11876904

Subgroups — #11876904

Order 1152.

800 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594453C211yesmaximal, characteristic, complemented
2#10594427C211yesmaximal, characteristic, complemented
3#10592588C211yesmaximal, characteristic, complemented
4C3×#4886C211yesmaximal, characteristic, complemented
5C3×#4878C211yesmaximal, characteristic, complemented
6#10590862C211yesmaximal, characteristic, complemented
7#10590838C211yesmaximal, characteristic, complemented
8#10590779C211yesmaximal, characteristic, complemented
9Dic3×ΓL(1,𝔽25)C211yesmaximal, characteristic, complemented
10#10590587C211yesmaximal, characteristic, complemented
11#10590586C211yesmaximal, characteristic
12#10590537C211yesmaximal, characteristic, complemented
13#10590533C211yesmaximal, characteristic, complemented
14#10590485C211yesmaximal, characteristic, complemented
15#10590462C211yesmaximal, characteristic, complemented
16#81911—31nomaximal
17#80791—31nomaximal
18C2×#3744C2211yescharacteristic
19#64102C2211yescharacteristic
20#64096C2211yescharacteristic
21C2×C3×#204C2211yescharacteristic
22C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
23C3×#897C2211yescharacteristic
24C3×#895C2211yescharacteristic
25C3×#890C2211yescharacteristic
26C3×#890C2211yescharacteristic
27#63909C2211yescharacteristic
28#63898—21no—
29#63898C2211yescharacteristic
30#63890—21no—
31#63884—21no—
32#63881—21no—
33#63878—21no—
34C4×D3×Dic3C2211yescharacteristic
35#63864C2211yescharacteristic
36#63860C2211yescharacteristic
37#63858—21no—
38#63857C2211yescharacteristic
39#63849—21no—
40#63848—21no—
41#63843C2211yescharacteristic
42C2×#3719C2211yescharacteristic
43C2×#3714C2211yescharacteristic
44C2×#3711C2211yescharacteristic
45C32×#107C2211yescharacteristic
46#63642C2211yescharacteristic
47#63637C2211yescharacteristic
48#63636C2211yescharacteristic
49C3×#818C2211yescharacteristic
50C3×C8×Dic3C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#809C2211yescharacteristic
53C3×#808C2211yescharacteristic
54C3×#808C2211yescharacteristic
55#63567C2211yescharacteristic
56#63565C2211yescharacteristic
57#63564C2211yescharacteristic
58#63562C2211yescharacteristic
59#63555C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5691—31no—
62#5691—31no—
63#5624—31no—
64#5600—31no—
65C3×#499—31no—
66C3×#468—31no—
67#5168—31no—
68#5164—31no—
69#5134—31no—
70Dic3×M16—31no—
71#5068—31no—
72#5068—31no—
73#5052—31no—
74#5039—31no—
75#4889—31no—
76#4889—31no—
77#4889—31no—
78#4889—61no—
79#4886—31no—
80#4886D311yescharacteristic, complemented
81#4878D311yescharacteristic, complemented
82#4869—31no—
83#4867—31no—
84#4865—31no—
85#4853—31no—
86#4800—31no—
87#4789—31no—
88#4785—31no—
89#4768—31no—
90#4696—31no—
91C4×ΓL(1,𝔽25)—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×#634C2311yescharacteristic
95C2×C3×D12—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×#626—21no—
100C2×D3×Dic3—21no—
101C2×D3×Dic3D411yescharacteristic
102C2×D3×Dic3D411yescharacteristic
103C2×C32×C8C2311yescharacteristic
104C32×C4⋊C4C2311yescharacteristic
105C32×C4⋊C4C2311yescharacteristic
106#3752—21no—
107#3750—21no—
108C4×C3⋊Dic3—21no—
109C4×C3⋊Dic3C2311yescharacteristic
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111#3744—22no—
112C3×(C2×D3)⋊C4—21no—
113C3×(C2×D3)⋊C4—21no—
114C3×C4⋊Dic3—21no—
115C3×C4⋊Dic3—21no—
116C3×C4⋊Dic3—21no—
117C3×C4⋊Dic3C2311yescharacteristic
118C3×C4⋊Dic3C2311yescharacteristic
119C3×Dic3⋊C4—21no—
120C3×Dic3⋊C4—21no—
121C3×C4×Dic3C2311yescharacteristic
122C2×C3×C3⋊C8C2311yescharacteristic
123C2×C3×C3⋊C8C2311yescharacteristic
124C3×#204—22no—
125C3×ΓL(1,𝔽25)—22no—
126Dic3⋊Dic3—21no—
127Dic3⋊Dic3—21no—
128#3722—21no—
129#3722—21no—
130#3722—21no—
131(C2×D3)⋊Dic3—21no—
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135Dic32—21no—
136Dic32D411yescharacteristic
137Dic32D411yescharacteristic
138#3719—22no—
139#3714—22no—
140#3711—22no—
141#3183—91noSylow
142C2×C3×SD16—31no—
143C2×C3×M16—31no—
144C3×#125—31no—
145C3×#125—31no—
146C3×C22⋊Q8—31no—
147C3×#121—31no—
148#947—31no—
149Q8×Dic3—31no—
150C2×#216—31no—
151#936—31no—
152#935—61no—
153D4×Dic3—31no—
154D4×Dic3—61no—
155C2×#213—31no—
156#930—31no—
157#924—31no—
158C2×C4×Dic3—31no—
159C2×#208—31no—
160C2×Dic12—31no—
161C2×D24—31no—
162C2×#204—31no—
163C2×#204—31no—
164C2×#204—61no—
165C2×#204C2×D311yescharacteristic
166C2×ΓL(1,𝔽25)—31no—
167C2×ΓL(1,𝔽25)C2×D311yescharacteristic
168#898—61no—
169#898—61no—
170#898—61no—
171#897—31no—
172#897C2×D311yescharacteristic
173#895—31no—
174#895C2×D311yescharacteristic
175#894—61no—
176#894—61no—
177#893—31no—
178#893—31no—
179#893—31no—
180#893—61no—
181#893—61no—
182#893—61no—
183#892—61no—
184#892—61no—
185#892—61no—
186#890C2×D311yescharacteristic
187#890C2×D311yescharacteristic
188#887—31no—
189#887—31no—
190#887—31no—
191#887—61no—
192#886—61no—
193#67⋊C4—61no—
194#879—61no—
195#877—61no—
196#875—31no—
197#875—31no—
198C42×D3—31no—
199C3×#107—21no—
200C3×#107—31no—
201C3×#107C2×D311yescharacteristic
202C3×#107C2×D311yescharacteristic
203C3×#106—31no—
204C3×#106—31no—
205C3×#103—31no—
206C3×#102—31no—
207C3×C4×C8—31no—
208#835—31no—
209#832—31no—
210#821—31no—
211#818C2×D311yescharacteristic
212#816—31no—
213#815—31no—
214#815—31no—
215#815—31no—
216#815—31no—
217#815—61no—
218C8×Dic3—31no—
219C8×Dic3C2×D311yescharacteristic
220#810—31no—
221#810—31no—
222#810—31no—
223#810—31no—
224#810—61no—
225#810C2×D311yescharacteristic
226#809—31no—
227#809—31no—
228#809—31no—
229#809—31no—
230#809—61no—
231#809C2×D311yescharacteristic
232#808C2×D311yescharacteristic
233#808C2×D311yescharacteristic
234C4×C3⋊C8—31no—
235C22×C3⋊D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3C2×D411yescharacteristic
243C2×C3⋊Dic3C2×D411yescharacteristic
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)—21no—
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×D12—42no—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×Dic6—21no—
261C3×Dic6—21no—
262#626—42no—
263D3×Dic3—41no—
264D3×Dic3—41no—
265D3×Dic3—42no—
266C32×C8#4112yes—
267C3⋊(C3⋊C8)—21no—
268C3×C3⋊C8—21no—
269C3×C3⋊C8#4112yes—
270#529—91no—
271#529—91no—
272#499—31no—
273#495—91no—
274#488—91no—
275#488—91no—
276#470—91no—
277#469—91no—
278#468—31no—
279#468—91no—
280#442—91no—
281#441—91no—
282#440—91no—
283#440—91no—
284C4×M16—91no—
285C2×C3×Q8—31no—
286C2×C3×D4—31no—
287C2×C3×D4—61no—
288C22×C3×C4—31no—
289C2×#67—61no—
290C22×Dic3—31no—
291C22×Dic3—31no—
292C22×Dic3—61no—
293C2×D12—21no—
294C2×D12—31no—
295C2×D12—31no—
296C2×D12—61no—
297C2×D12—61no—
298C2×D12C22×D311yescharacteristic
299C2×C4×D3—31no—
300C2×C4×D3—31no—
301C2×C4×D3—61no—
302C2×C4×D3—61no—
303C2×C4×D3—61no—
304C2×C4×D3—121no—
305C2×C4×D3C22×D311yescharacteristic
306C2×Dic6—31no—
307C2×Dic6—31no—
308C2×Dic6—61no—
309C2×Dic6C22×D311yescharacteristic
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—21no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4C22×D311yescharacteristic
327C3×C4⋊C4C22×D311yescharacteristic
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C22⋊C4—61no—
331C3×C22⋊C4—61no—
332C3×C42—31no—
333#217—61no—
334#217—61no—
335#217—61no—
336#217—61no—
337#216—62no—
338#213—62no—
339(C2×D3)⋊C4—21no—
340(C2×D3)⋊C4—21no—
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—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—121no—
354C4⋊Dic3—21no—
355C4⋊Dic3—21no—
356C4⋊Dic3—21no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3C22×D311yescharacteristic
360C4⋊Dic3C22×D311yescharacteristic
361Dic3⋊C4—21no—
362Dic3⋊C4—21no—
363Dic3⋊C4—61no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—121no—
368C4×Dic3—31no—
369C4×Dic3—31no—
370C4×Dic3—31no—
371C4×Dic3—31no—
372C4×Dic3—31no—
373C4×Dic3—31no—
374C4×Dic3—61no—
375C4×Dic3—61no—
376C4×Dic3—61no—
377C4×Dic3—61no—
378C4×Dic3—61no—
379C4×Dic3—121no—
380C4×Dic3C22×D311yescharacteristic
381#208—62no—
382C2×C3⋊C8—31no—
383C2×C3⋊C8—31no—
384C2×C3⋊C8—61no—
385C2×C3⋊C8C22×D311yescharacteristic
386C2×C3⋊C8C22×D311yescharacteristic
387Dic12—62no—
388D24—62no—
389#204—22no—
390#204—64no—
391#204—62no—
392#204—62no—
393ΓL(1,𝔽25)—22no—
394ΓL(1,𝔽25)—62no—
395C22×C32C22×D411yescharacteristic
396C2×C3⋊D3—41no—
397C2×C3⋊D3—41no—
398C2×C3⋊D3—41no—
399C2×C3×D3—21no—
400C2×C3×D3—21no—
401C2×C3×D3—21no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C32×C4—41no—
406C32×C4—41no—
407C32×C4C2×#4111yescharacteristic
408C32×C4C2×#4111yescharacteristic
409C3⋊Dic3—21no—
410C3⋊Dic3—21no—
411C3⋊Dic3—41no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C2×Q16—91no—
419C2×SD16—31no—
420C2×SD16—91no—
421C2×D8—91no—
422C2×M16—31no—
423C2×M16—91no—
424#126—181no—
425#126—181no—
426#125—31no—
427#125—31no—
428#124—91no—
429#124—91no—
430#123—181no—
431#123—181no—
432C22⋊Q8—31no—
433C22⋊Q8—91no—
434#121—31no—
435#121—91no—
436C4×Q8—91no—
437C4×Q8—91no—
438C4×D4—91no—
439C4×D4—91no—
440C4×D4—181no—
441C4×D4—181no—
442#117—181no—
443#117—181no—
444C2×C42—91no—
445#107—31no—
446#107D3211yescharacteristic
447#106—31no—
448#106—31no—
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—91no—
458#97—91no—
459C4×C8—31no—
460C4×C8—91no—
461C23×C3—31no—
462C23×C3—61no—
463C22×D3—21no—
464C22×D3—61no—
465C22×D3—61no—
466C22×D3—121no—
467C22×D3D3×D411yescharacteristic
468C3×Q8—61no—
469C3×Q8—61no—
470C3×D4—61no—
471C3×D4—61no—
472C3×D4—122no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—31no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—41no—
482C2×C3×C4—41no—
483C2×C3×C4—61no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4—61no—
488C2×C3×C4C23×D311yescharacteristic
489C2×C3×C4C23×D311yescharacteristic
490#67—122no—
491C2×Dic3—21no—
492C2×Dic3—21no—
493C2×Dic3—21no—
494C2×Dic3—31no—
495C2×Dic3—31no—
496C2×Dic3—31no—
497C2×Dic3—31no—
498C2×Dic3—61no—
499C2×Dic3—61no—
500C2×Dic3—61no—
501C2×Dic3—61no—
502C2×Dic3—121no—
503C2×Dic3—121no—
504C2×Dic3—121no—
505C2×Dic3—122no—
506C2×Dic3D3×D411yescharacteristic
507C2×Dic3D3×D411yescharacteristic
508C2×Dic3D3×D411yescharacteristic
509D12—21no—
510D12—21no—
511D12—42no—
512D12—62no—
513D12—61no—
514D12—61no—
515D12—61no—
516D12—61no—
517D12—121no—
518D12—122no—
519C4×D3—21no—
520C4×D3—21no—
521C4×D3—122no—
522C4×D3—122no—
523C4×D3—121no—
524C4×D3—121no—
525C4×D3—122no—
526C4×D3—242no—
527Dic6—21no—
528Dic6—21no—
529Dic6—62no—
530Dic6—61no—
531Dic6—61no—
532Dic6—61no—
533Dic6—61no—
534Dic6—121no—
535C3×C8—22no—
536C3×C8—32no—
537C3×C8—61no—
538C3×C8#23712yes—
539C3×C8#23912yes—
540C3⋊C8—21no—
541C3⋊C8—61no—
542C3⋊C8—61no—
543C3⋊C8—121no—
544C3⋊C8#23912yes—
545C2×C32#53211yescharacteristic
546C2×C32#57511yescharacteristic
547C2×C32#57511yescharacteristic
548C3⋊D3—81no—
549C3×D3—41no—
550C3×D3—81no—
551C2×Q8—31no—
552C2×Q8—91no—
553C2×D4—31no—
554C2×D4—61no—
555C2×D4—91no—
556C2×D4—181no—
557C22×C4—31no—
558C22×C4—91no—
559C22×C4—91no—
560C22×C4—181no—
561C22×C4—181no—
562Q16—182no—
563SD16—62no—
564SD16—182no—
565D8—182no—
566M16—62no—
567M16—182no—
568C2×C8—31no—
569C2×C8—31no—
570C2×C8—91no—
571C2×C8C2×D3211yescharacteristic
572C4⋊C4—31no—
573C4⋊C4—31no—
574C4⋊C4—61no—
575C4⋊C4—61no—
576C4⋊C4—61no—
577C4⋊C4—61no—
578C4⋊C4—61no—
579C4⋊C4—181no—
580C4⋊C4—181no—
581C4⋊C4—181no—
582C4⋊C4C2×D3211yescharacteristic
583C4⋊C4C2×D3211yescharacteristic
584C22⋊C4—61no—
585C22⋊C4—61no—
586C22⋊C4—181no—
587C22⋊C4—181no—
588C22⋊C4—181no—
589C22⋊C4—181no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C42—31no—
595C42—91no—
596C42—91no—
597C42—91no—
598C42—181no—
599C42—181no—
600C22×C3—21no—
601C22×C3—61no—
602C22×C3—61no—
603C22×C3—61no—
604C22×C3—121no—
605C22×C3—121no—
606C22×C3—121no—
607C22×C3C2×D3×D411yescharacteristic
608C22×C3C2×D3×D411yescharacteristic
609C2×D3—21no—
610C2×D3—21no—
611C2×D3—21no—
612C2×D3—41no—
613C2×D3—41no—
614C2×D3—41no—
615C2×D3—122no—
616C2×D3—121no—
617C2×D3—121no—
618C2×D3—121no—
619C2×D3—121no—
620C2×D3—121no—
621C2×D3—121no—
622C2×D3—241no—
623C2×D3—241no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—41no—
627C3×C4—41no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—61no—
631C3×C4—61no—
632C3×C4—61no—
633C3×C4—81no—
634C3×C4—81no—
635C3×C4—121no—
636C3×C4—121no—
637C3×C4—121no—
638C3×C4C2×#23711yescharacteristic
639C3×C4C2×#23911yescharacteristic
640C3×C4C2×#23911yescharacteristic
641C3×C4D3×#4111yescharacteristic
642Dic3—21no—
643Dic3—21no—
644Dic3—21no—
645Dic3—41no—
646Dic3—41no—
647Dic3—41no—
648Dic3—61no—
649Dic3—61no—
650Dic3—61no—
651Dic3—61no—
652Dic3—121no—
653Dic3—121no—
654Dic3—122no—
655Dic3—121no—
656Dic3—121no—
657C32#318311yescharacteristic, complemented, Sylow
658C23—31no—
659C23—61no—
660C23—181no—
661Q8—61no—
662Q8—61no—
663Q8—181no—
664Q8—181no—
665D4—61no—
666D4—61no—
667D4—122no—
668D4—181no—
669D4—181no—
670D4—362no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—31no—
674C2×C4—31no—
675C2×C4—31no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—61no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—91no—
682C2×C4—91no—
683C2×C4—181no—
684C2×C4—362no—
685C2×C4—361no—
686C2×C4—361no—
687C2×C4—362no—
688C2×C4C22×D3211yescharacteristic
689C8—32no—
690C8—61no—
691C8—181no—
692C8#379612yes—
693C2×C3—21no—
694C2×C3—21no—
695C2×C3—21no—
696C2×C3—121no—
697C2×C3—241no—
698C2×C3#559611yescharacteristic
699C2×C3#572511yescharacteristic
700C2×C3#576811yescharacteristic
701C2×C3#576811yescharacteristic
702C2×C3#577311yescharacteristic
703C2×C3#577711yescharacteristic
704D3—41no—
705D3—81no—
706D3—242no—
707D3—241no—
708D3—241no—
709C22—61no—
710C22—61no—
711C22—61no—
712C22—121no—
713C22—121no—
714C22—121no—
715C22—361no—
716C22—361no—
717C22—361no—
718C22D32×D411yescharacteristic
719C4—41no—
720C4—41no—
721C4—61no—
722C4—61no—
723C4—61no—
724C4—121no—
725C4—121no—
726C4—121no—
727C4—181no—
728C4—181no—
729C4—361no—
730C4C2×#379611yescharacteristic
731C4D3×#23911yescharacteristic
732C3—21no—
733C3#8079111yescharacteristic, complemented
734C3#8191111yescharacteristic, complemented
735C2—121no—
736C2—241no—
737C2—721no—
738C2#1059436911yescharacteristic
739C2#1059472911yescharacteristic
740C2#1059476311yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#107C22
socleC22×C32C22×D4
prime radical#10590586C2
hypercenter#107D32
hypocenterC32#3183
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

Complements

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

NH ≅ G/Ntype
1. #10594453C2semidirect
2. #10594427C2semidirect
3. #10592588C2semidirect
4. C3×#4886C2semidirect
5. C3×#4878C2semidirect
6. #10590862C2semidirect
7. #10590838C2semidirect
8. #10590779C2semidirect
9. Dic3×ΓL(1,𝔽25)C2semidirect
10. #10590587C2semidirect
12. #10590537C2semidirect
13. #10590533C2semidirect
14. #10590485C2semidirect
15. #10590462C2semidirect
80. #4886D3semidirect
81. #4878D3semidirect
657. C32#3183semidirect
733. C3#80791semidirect
734. C3#81911semidirect

Maximal subgroups

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

subgroupindex
#105944532
#105944272
#105925882
C3×#48862
C3×#48782
#105908622
#105908382
#105907792
Dic3×ΓL(1,𝔽25)2
#105905872
#105905862
#105905372
#105905332
#105904852
#105904622
#819113
#807913