Finite Group Databasebeta

← #11895330

Subgroups — #11895330

Order 1152.

786 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#10593978C211yesmaximal, characteristic, complemented
2#10593938C211yesmaximal, characteristic, complemented
3#10592543C211yesmaximal, characteristic, complemented
4C3×#4847C211yesmaximal, characteristic, complemented
5C3×#4830C211yesmaximal, characteristic, complemented
6#10590878C211yesmaximal, characteristic, complemented
7#10590863C211yesmaximal, characteristic, complemented
8#10590860C211yesmaximal, characteristic, complemented
9#10590805C211yesmaximal, characteristic, complemented
10#10590769C211yesmaximal, characteristic, complemented
11#10590765C211yesmaximal, characteristic
12#10590763C211yesmaximal, characteristic, complemented
13#10590758C211yesmaximal, characteristic, complemented
14C4×#3714C211yesmaximal, characteristic, complemented
15#10590293C211yesmaximal, characteristic, complemented
16#81150—31nomaximal
17#79927—31nomaximal
18C2×#3745C2211yescharacteristic
19C2×#3744C2211yescharacteristic
20#64084C2211yescharacteristic
21C4×C4⋊(C3⋊D3)C2211yescharacteristic
22C3×C4×D12C2211yescharacteristic
23C3×#870C2211yescharacteristic
24C3×C4×Dic6C2211yescharacteristic
25#63918C2211yescharacteristic
26#63911C2211yescharacteristic
27#63907—21no—
28#63904—21no—
29#63895—21no—
30#63894C2211yescharacteristic
31#63894C2211yescharacteristic
32#63894C2211yescharacteristic
33#63888—21no—
34#63883—21no—
35#63869C2211yescharacteristic
36#63865—21no—
37#63860C2211yescharacteristic
38#63854—21no—
39#63850—21no—
40#63844C2211yescharacteristic
41C2×#3714C2211yescharacteristic
42C32×C4⋊C8C2211yescharacteristic
43#63648C2211yescharacteristic
44#63643C2211yescharacteristic
45C3×#821C2211yescharacteristic
46C3×#821C2211yescharacteristic
47C3×#818C2211yescharacteristic
48C3×#817C2211yescharacteristic
49C3×Dic3⋊C8C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×C8×Dic3C2211yescharacteristic
52C3×C8×Dic3C2211yescharacteristic
53C3×C4×C3⋊C8C2211yescharacteristic
54#63575C2211yescharacteristic
55#63567C2211yescharacteristic
56#63567C2211yescharacteristic
57#63564C2211yescharacteristic
58#63564C2211yescharacteristic
59#63564C2211yescharacteristic
60#63563C2211yescharacteristic
61#5690—31no—
62#5585—31no—
63#5579—31no—
64#5559—31no—
65C3×#478—31no—
66C3×C8×Q8—31no—
67#5068—31no—
68C4×#213—31no—
69#4875—31no—
70#4872—31no—
71#4871—31no—
72#4852—31no—
73#4850—31no—
74#4847—31no—
75#4847D311yescharacteristic, complemented
76#4844—31no—
77#4844—31no—
78#4844—31no—
79#4844—61no—
80#4843—31no—
81#4830D311yescharacteristic, complemented
82#4787—31no—
83#4786—31no—
84#4768—31no—
85#4760—31no—
86#4697—31no—
87#4697—31no—
88#4694—31no—
89C4×D24—31no—
90C4×D24—31no—
91C4×#204—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×#634C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×Dic6D411yescharacteristic
99C2×#627—21no—
100C2×#626—21no—
101C2×#626—21no—
102C2×#624—21no—
103C2×#624—21no—
104C2×#624—21no—
105C2×C32×C8C2311yescharacteristic
106C2×C32×C8C2311yescharacteristic
107C32×C42C2311yescharacteristic
108#3752—21no—
109#3752—21no—
110#3752—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3745—22no—
113#3744—22no—
114C3×(C2×D3)⋊C4—21no—
115C3×C4⋊Dic3D411yescharacteristic
116C3×C4⋊Dic3C2311yescharacteristic
117C3×C4⋊Dic3C2311yescharacteristic
118C3×C4⋊Dic3C2311yescharacteristic
119C3×Dic3⋊C4—21no—
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4D411yescharacteristic
122C3×Dic3⋊C4D411yescharacteristic
123C3×C4×Dic3C2311yescharacteristic
124C3×C4×Dic3C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127#3724—21no—
128#3724—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131#3722—21no—
132#3722—21no—
133#3722—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136Dic32—21no—
137#3714—22no—
138#3361—91noSylow
139C3×#125—31no—
140C3×C4×Q8—31no—
141C3×C4×D4—31no—
142#947—61no—
143#946—61no—
144#940—31no—
145#936—31no—
146C2×#213—31no—
147#929—61no—
148C4×#67—61no—
149C2×D24—31no—
150C2×D24—31no—
151C2×D24—31no—
152C2×D24—61no—
153C2×#204—31no—
154C2×#204—31no—
155C2×#204—61no—
156#897—61no—
157#896—61no—
158#896—61no—
159#896—61no—
160#896—61no—
161#894—61no—
162#894—61no—
163#893—31no—
164#893—31no—
165#893—31no—
166#893—61no—
167D3×C4⋊C4—61no—
168D3×C4⋊C4—61no—
169#890—31no—
170#888—31no—
171#887—31no—
172#885—61no—
173#883—61no—
174#875—31no—
175#875—31no—
176#875—31no—
177#875—61no—
178#874—31no—
179C4×D12—31no—
180C4×D12—31no—
181C4×D12—31no—
182C4×D12—31no—
183C4×D12—31no—
184C4×D12—61no—
185C4×D12C2×D311yescharacteristic
186#870—31no—
187#870C2×D311yescharacteristic
188#869—31no—
189C4×Dic6—31no—
190C4×Dic6C2×D311yescharacteristic
191C3×#107—31no—
192C3×#106—31no—
193C3×C4⋊C8—21no—
194C3×C4⋊C8—31no—
195C3×C4⋊C8—31no—
196C3×C4⋊C8C2×D311yescharacteristic
197C3×C4⋊C8C2×D311yescharacteristic
198C3×#102—31no—
199C3×#102—31no—
200C3×C4×C8—31no—
201C3×C4×C8—31no—
202C3×C4×C8—31no—
203#832—31no—
204#821—31no—
205#821—31no—
206#821—31no—
207#821—31no—
208#821—31no—
209#821—31no—
210#821—61no—
211#821C2×D311yescharacteristic
212#821C2×D311yescharacteristic
213#818—31no—
214#818C2×D311yescharacteristic
215#817C2×D311yescharacteristic
216#816—31no—
217#816—31no—
218#816—31no—
219#816—31no—
220#816—61no—
221Dic3⋊C8C2×D311yescharacteristic
222Dic3⋊C8C2×D311yescharacteristic
223C8×Dic3C2×D311yescharacteristic
224C8×Dic3C2×D311yescharacteristic
225#810—31no—
226#810—31no—
227#809—31no—
228#809—31no—
229#809—31no—
230#807—31no—
231C4×C3⋊C8C2×D311yescharacteristic
232C22×C3⋊D3—21no—
233C22×C3⋊D3—21no—
234C22×C3×D3—21no—
235C2×C32×C4C2×D411yescharacteristic
236C2×C32×C4C2×D411yescharacteristic
237C2×C32×C4C2411yescharacteristic
238C2×C3⋊Dic3—21no—
239C2×C3⋊Dic3—21no—
240C4⋊(C3⋊D3)—21no—
241C4⋊(C3⋊D3)—21no—
242C4⋊(C3⋊D3)—21no—
243C4⋊(C3⋊D3)#4112yes—
244C4×C3⋊D3—81no—
245#634—21no—
246#634—21no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×D12—21no—
255C3×D12—21no—
256C3×C4×D3—81no—
257C3×Dic6—22no—
258#627—81no—
259#626—42no—
260#626—81no—
261#624—42no—
262#624—81no—
263#624—81no—
264C32×C8—21no—
265C32×C8—21no—
266C3×C3⋊C8—21no—
267C3×C3⋊C8—21no—
268#559—91no—
269#554—91no—
270#488—91no—
271#488—91no—
272#486—91no—
273#478—31no—
274#478—91no—
275#477—91no—
276#463—91no—
277#463—91no—
278#459—91no—
279C8×Q8—31no—
280C4×SD16—91no—
281C4×D8—91no—
282C4×D8—91no—
283C2×C3×Q8—31no—
284C2×C3×D4—31no—
285C22×C3×C4—61no—
286C2×#67—61no—
287C2×#67—61no—
288C2×D12—31no—
289C2×D12—31no—
290C2×D12—31no—
291C2×D12—31no—
292C2×D12—61no—
293C2×D12—61no—
294C2×D12—61no—
295C2×D12—61no—
296C2×D12C22×D311yescharacteristic
297C2×C4×D3—21no—
298C2×C4×D3—61no—
299C2×C4×D3—61no—
300C2×C4×D3—61no—
301C2×C4×D3—61no—
302C2×C4×D3—61no—
303C2×C4×D3—61no—
304C2×C4×D3—61no—
305C2×C4×D3—61no—
306C2×C4×D3—121no—
307C2×Dic6—31no—
308C2×Dic6—31no—
309C2×Dic6—61no—
310C2×Dic6—61no—
311C2×Dic6—61no—
312C2×Dic6D1211yescharacteristic
313C2×C3×C8—21no—
314C2×C3×C8—21no—
315C2×C3×C8—31no—
316C2×C3×C8—31no—
317C2×C3×C8C22×D311yescharacteristic
318C2×C3×C8C22×D311yescharacteristic
319C2×C3×C8C22×D311yescharacteristic
320C2×C3×C8C22×D311yescharacteristic
321C3×C4⋊C4—31no—
322C3×C4⋊C4—31no—
323C3×C4⋊C4—31no—
324C3×C4⋊C4—31no—
325C3×C4⋊C4—31no—
326C3×C4⋊C4—31no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C42—21no—
331C3×C42—31no—
332C3×C42—31no—
333C3×C42C22×D311yescharacteristic
334C3×C42C22×D311yescharacteristic
335#217—61no—
336#217—61no—
337#213—62no—
338(C2×D3)⋊C4—21no—
339(C2×D3)⋊C4—61no—
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—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—121no—
354(C2×D3)⋊C4—121no—
355(C2×D3)⋊C4—121no—
356C4⋊Dic3—31no—
357C4⋊Dic3—31no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3D1211yescharacteristic
362C4⋊Dic3C22×D311yescharacteristic
363C4⋊Dic3C22×D311yescharacteristic
364C4⋊Dic3C22×D311yescharacteristic
365Dic3⋊C4—21no—
366Dic3⋊C4—21no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4D1211yescharacteristic
374Dic3⋊C4D1211yescharacteristic
375C4×Dic3—61no—
376C4×Dic3—61no—
377C4×Dic3C22×D311yescharacteristic
378C4×Dic3C22×D311yescharacteristic
379C2×C3⋊C8C22×D311yescharacteristic
380C2×C3⋊C8C22×D311yescharacteristic
381D24—62no—
382D24—62no—
383D24—62no—
384D24—122no—
385#204—62no—
386#204—62no—
387#204—122no—
388C22×C32C22×D411yescharacteristic
389C2×C3⋊D3—22no—
390C2×C3⋊D3—41no—
391C2×C3⋊D3—41no—
392C2×C3⋊D3—41no—
393C2×C3⋊D3—41no—
394C2×C3⋊D3—41no—
395C2×C3×D3—41no—
396C2×C3×D3—41no—
397C2×C3×D3—41no—
398C32×C4—21no—
399C32×C4—21no—
400C32×C4C2×#4111yescharacteristic
401C32×C42−1+411yescharacteristic
402C3⋊Dic3—41no—
403C3⋊Dic3—41no—
404C3×Dic3—21no—
405C3×Dic3—21no—
406C3×Dic3—21no—
407C3×Dic3—41no—
408C3×Dic3—41no—
409C3×Dic3—41no—
410C3×Dic3#13512yes—
411C2×SD16—91no—
412C2×D8—91no—
413C2×D8—91no—
414C4⋊Q8—91no—
415#127—91no—
416#125—31no—
417#125—91no—
418#124—91no—
419#124—91no—
420#124—181no—
421#123—181no—
422#123—181no—
423C22⋊Q8—181no—
424C22⋊Q8—181no—
425C22⋊Q8—181no—
426C4×Q8—31no—
427C4×Q8—91no—
428C4×D4—31no—
429C4×D4—91no—
430C4×D4—91no—
431C4×D4—91no—
432C4×D4—91no—
433C4×D4—181no—
434C2×C4⋊C4—181no—
435#107—31no—
436#107—91no—
437#106—31no—
438C4⋊C8—31no—
439C4⋊C8—31no—
440C4⋊C8D3211yescharacteristic
441#103—91no—
442#103—91no—
443#103—91no—
444#102—31no—
445#102—31no—
446#102—91no—
447#102—91no—
448#102—91no—
449#102—91no—
450#102—91no—
451C4×C8—31no—
452C4×C8—31no—
453C4×C8—31no—
454C23×C3—61no—
455C22×D3—21no—
456C22×D3—61no—
457C22×D3—61no—
458C22×D3—61no—
459C22×D3—61no—
460C22×D3—121no—
461C22×D3—121no—
462C3×Q8—62no—
463C3×D4—61no—
464C3×D4—61no—
465C2×C3×C4—21no—
466C2×C3×C4—21no—
467C2×C3×C4—21no—
468C2×C3×C4—31no—
469C2×C3×C4—31no—
470C2×C3×C4—31no—
471C2×C3×C4—31no—
472C2×C3×C4—61no—
473C2×C3×C4—61no—
474C2×C3×C4—61no—
475C2×C3×C4—241no—
476C2×C3×C4C2×D1211yescharacteristic
477C2×C3×C4C2×D1211yescharacteristic
478C2×C3×C4D3×D411yescharacteristic
479C2×C3×C4D3×D411yescharacteristic
480C2×C3×C4C23×D311yescharacteristic
481C2×C3×C4C23×D311yescharacteristic
482#67—122no—
483#67—241no—
484C2×Dic3—21no—
485C2×Dic3—21no—
486C2×Dic3—21no—
487C2×Dic3—61no—
488C2×Dic3—61no—
489C2×Dic3—61no—
490C2×Dic3—61no—
491C2×Dic3—121no—
492C2×Dic3—121no—
493C2×Dic3C2×D1211yescharacteristic
494C2×Dic3C2×D1211yescharacteristic
495C2×Dic3C2×D1211yescharacteristic
496C2×Dic3C2×D1211yescharacteristic
497D12—21no—
498D12—21no—
499D12—32no—
500D12—32no—
501D12—62no—
502D12—61no—
503D12—61no—
504D12—61no—
505D12—61no—
506D12—61no—
507D12—61no—
508D12—121no—
509D12—121no—
510D12—121no—
511D12—122no—
512D12—241no—
513C4×D3—81no—
514C4×D3—122no—
515C4×D3—122no—
516C4×D3—241no—
517C4×D3—241no—
518C4×D3—241no—
519C4×D3—241no—
520C4×D3—241no—
521C4×D3—241no—
522C4×D3—242no—
523Dic6—22no—
524Dic6—61no—
525Dic6—61no—
526Dic6—61no—
527Dic6—61no—
528Dic6—121no—
529Dic6—121no—
530Dic6—241no—
531Dic6—241no—
532C3×C8—21no—
533C3×C8—21no—
534C3×C8—21no—
535C3×C8—21no—
536C3×C8—41no—
537C3×C8—41no—
538C3×C8—61no—
539C3×C8—61no—
540C3⋊C8—21no—
541C3⋊C8—21no—
542C2×C32#54811yescharacteristic
543C2×C32C2×#13511yescharacteristic
544C2×C32#57611yescharacteristic
545C3⋊D3—42no—
546C3⋊D3—81no—
547C3×D3—81no—
548C2×Q8—31no—
549C2×Q8—91no—
550C2×Q8—181no—
551C2×D4—31no—
552C2×D4—91no—
553C2×D4—91no—
554C2×D4—181no—
555C2×D4—181no—
556C22×C4—61no—
557C22×C4—181no—
558C22×C4—181no—
559C22×C4—181no—
560C22×C4—181no—
561SD16—182no—
562D8—182no—
563D8—182no—
564C2×C8—31no—
565C2×C8—31no—
566C2×C8C2×D3211yescharacteristic
567C2×C8C2×D3211yescharacteristic
568C4⋊C4—31no—
569C4⋊C4—31no—
570C4⋊C4—31no—
571C4⋊C4—31no—
572C4⋊C4—31no—
573C4⋊C4—31no—
574C4⋊C4—61no—
575C4⋊C4—61no—
576C4⋊C4—91no—
577C4⋊C4—181no—
578C4⋊C4—181no—
579C4⋊C4—181no—
580C4⋊C4—181no—
581C22⋊C4—61no—
582C22⋊C4—181no—
583C22⋊C4—181no—
584C22⋊C4—181no—
585C22⋊C4—181no—
586C22⋊C4—181no—
587C22⋊C4—181no—
588C22⋊C4—181no—
589C22⋊C4—181no—
590C42—31no—
591C42—31no—
592C42—181no—
593C42C2×D3211yescharacteristic
594C22×C3—21no—
595C22×C3—121no—
596C22×C3—121no—
597C22×C3—121no—
598C22×C3C22×D1211yescharacteristic
599C22×C3C2×D3×D411yescharacteristic
600C2×D3—41no—
601C2×D3—41no—
602C2×D3—41no—
603C2×D3—62no—
604C2×D3—62no—
605C2×D3—122no—
606C2×D3—121no—
607C2×D3—121no—
608C2×D3—121no—
609C2×D3—121no—
610C2×D3—121no—
611C2×D3—121no—
612C2×D3—121no—
613C2×D3—121no—
614C2×D3—121no—
615C2×D3—121no—
616C2×D3—241no—
617C2×D3—241no—
618C2×D3—241no—
619C2×D3—241no—
620C2×D3—241no—
621C3×C4—21no—
622C3×C4—21no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—21no—
627C3×C4—32no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—61no—
631C3×C4—61no—
632C3×C4—61no—
633C3×C4—121no—
634C3×C4—121no—
635C3×C4—121no—
636C3×C4#100711yescharacteristic
637C3×C4#100711yescharacteristic
638C3×C4D3×#4111yescharacteristic
639C3×C4D3×#4111yescharacteristic
640Dic3—21no—
641Dic3—21no—
642Dic3—21no—
643Dic3—41no—
644Dic3—41no—
645Dic3—41no—
646Dic3—121no—
647Dic3—121no—
648Dic3—121no—
649Dic3—121no—
650Dic3—241no—
651Dic3—241no—
652Dic3#90412yes—
653C32#336111yescharacteristic, complemented, Sylow
654C23—61no—
655C23—181no—
656C23—181no—
657Q8—62no—
658Q8—181no—
659Q8—181no—
660Q8—721no—
661D4—61no—
662D4—61no—
663D4—92no—
664D4—181no—
665D4—181no—
666D4—181no—
667D4—362no—
668D4—721no—
669C2×C4—31no—
670C2×C4—31no—
671C2×C4—31no—
672C2×C4—31no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—181no—
677C2×C4—181no—
678C2×C4—241no—
679C2×C4—362no—
680C2×C4—721no—
681C2×C4—721no—
682C2×C4—721no—
683C2×C4D3×D1211yescharacteristic
684C2×C4D3×D1211yescharacteristic
685C2×C4C22×D3211yescharacteristic
686C8—21no—
687C8—21no—
688C8—61no—
689C8—61no—
690C2×C3—21no—
691C2×C3—21no—
692C2×C3—21no—
693C2×C3—241no—
694C2×C3#557611yescharacteristic
695C2×C3#563311yescharacteristic
696C2×C3C2×#90411yescharacteristic
697C2×C3#575211yescharacteristic
698C2×C3D3×#13511yescharacteristic
699C2×C3#577411yescharacteristic
700D3—81no—
701D3—122no—
702D3—122no—
703D3—242no—
704D3—241no—
705D3—241no—
706D3—481no—
707C22—121no—
708C22—121no—
709C22—121no—
710C22—182no—
711C22—361no—
712C22—361no—
713C22—361no—
714C22—361no—
715C22—361no—
716C22C2×D3×D1211yescharacteristic
717C4—21no—
718C4—21no—
719C4—32no—
720C4—61no—
721C4—61no—
722C4—61no—
723C4—121no—
724C4—121no—
725C4—121no—
726C4—361no—
727C4—361no—
728C4#6431211yescharacteristic
729C4#6431611yescharacteristic
730C3—21no—
731C3#7992711yescharacteristic, complemented
732C3#8115011yescharacteristic, complemented
733C2—241no—
734C2—362no—
735C2—721no—
736C2#1059432911yescharacteristic
737C2D3×#90411yescharacteristic
738C2#1059471411yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊C8C22
socleC22×C32C22×D4
prime radical#10590765C2
hypercenterC4⋊C8D32
hypocenterC32#3361
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
1. #10593978C2semidirect
2. #10593938C2semidirect
3. #10592543C2semidirect
4. C3×#4847C2semidirect
5. C3×#4830C2semidirect
6. #10590878C2semidirect
7. #10590863C2semidirect
8. #10590860C2semidirect
9. #10590805C2semidirect
10. #10590769C2semidirect
12. #10590763C2semidirect
13. #10590758C2semidirect
14. C4×#3714C2semidirect
15. #10590293C2semidirect
75. #4847D3semidirect
81. #4830D3semidirect
653. C32#3361semidirect
731. C3#79927semidirect
732. C3#81150semidirect

Maximal subgroups

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

subgroupindex
#105939782
#105939382
#105925432
C3×#48472
C3×#48302
#105908782
#105908632
#105908602
#105908052
#105907692
#105907652
#105907632
#105907582
C4×#37142
#105902932
#811503
#799273