Finite Group Databasebeta

← #11885766

Subgroups — #11885766

Order 1152.

1454 conjugacy classes of subgroups.

The subgroup lattice has 711 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596188C211yesmaximal, characteristic, complemented
2C2×#63926C212yesmaximal, complemented
3#10594004C211yesmaximal, characteristic, complemented
4C3×#5073C211yesmaximal, characteristic, complemented
5C3×#5072C211yesmaximal, characteristic, complemented
6#10591516C212yesmaximal, complemented
7#10591456C212yesmaximal, complemented
8#10591455C212yesmaximal, complemented
9#10590355C211yesmaximal, characteristic, complemented
10C4×#3714C211yesmaximal, characteristic, complemented
11#10590327C211yesmaximal, characteristic, complemented
12#81789—31nomaximal
13#80350—31nomaximal
14C2×D4×C3⋊D3—21no—
15C2×D4×C3⋊D3C2212yescomplemented
16C2×#3802C2212yescomplemented
17C2×D3×D12—21no—
18C32×#127C2211yescharacteristic, complemented
19#64147—21no—
20#64147C2212yescomplemented
21#64146—22no—
22C4×C4⋊(C3⋊D3)C2211yescharacteristic
23C4×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
24C2×C3×#213C2212yescomplemented
25C2×C3×#213C2212yescomplemented
26C2×C3×#213C2212yescomplemented
27C3×#874C2211yescharacteristic, complemented
28C3×C4×D12C2211yescharacteristic, complemented
29#63926—28no—
30#63922—22no—
31#63916C2212yescomplemented
32#63908—21no—
33C2×#3714C2211yescharacteristic
34C2×#3714C2212yescomplemented
35C2×#3710C2212yescomplemented
36C3×#832C2212yescomplemented
37C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
38C3×C4×C3⋊C8C2211yescharacteristic, complemented
39#63575C2211yescharacteristic, complemented
40#63564C2211yescharacteristic, complemented
41#63563C2211yescharacteristic, complemented
42#63563C2212yescomplemented
43#63557C2212yescomplemented
44C2×D3×D8—32no—
45C2×D3×D8—32no—
46#5717—31no—
47#5717—31no—
48#5717—31no—
49#5717—61no—
50D4×D12—31no—
51C3×#493—31no—
52C3×#459—31no—
53#5157—32no—
54#5156—32no—
55#5156—32no—
56#5156—32no—
57#5073D311yescharacteristic, complemented
58#5072—31no—
59#5072D311yescharacteristic, complemented
60C4×#213—31no—
61#4843—31no—
62#4834—31no—
63#4775—32no—
64#4773—32no—
65C4×D24—31no—
66C8×D12—31no—
67C23×C3⋊D3—22no—
68C22×D32—22no—
69C2×C32×D4—21no—
70C2×C32×D4—21no—
71C2×C32×D4C2312yes—
72C2×#638—22no—
73C2×#638—22no—
74D4×C3⋊D3—24no—
75D4×C3⋊D3—42no—
76D4×C3⋊D3—44no—
77C2×C4⋊(C3⋊D3)D411yescharacteristic
78C2×C4⋊(C3⋊D3)C2311yescharacteristic
79C2×C4×C3⋊D3—21no—
80C2×C4×C3⋊D3C2312yes—
81C2×C3×D12—21no—
82C2×C3×D12—21no—
83C2×C3×D12C2312yes—
84C2×C3×D12C2311yescharacteristic
85C2×C3×C4×D3—21no—
86C2×#626—22no—
87C2×#625—22no—
88#3802—24no—
89#3802—42no—
90D3×D12—44no—
91C32×C42C2311yescharacteristic
92#3757—22no—
93#3752—21no—
94#3752D412yes—
95C4⋊(C3⋊Dic3)D411yescharacteristic
96C4⋊(C3⋊Dic3)C2311yescharacteristic
97C3×#213—24no—
98C3×#213—24no—
99C3×#213—42no—
100C3×(C2×D3)⋊C4—21no—
101C3×C4⋊Dic3C2311yescharacteristic
102C2×C3×C3⋊C8C2311yescharacteristic
103C2×C3×C3⋊C8C2312yes—
104C2×C3×C3⋊C8C2311yescharacteristic
105(C2×D3)⋊Dic3—22no—
106#3714—24no—
107#3714D414yescomplemented
108#3710—24no—
109D4×D8—91noSylow
110C2×D3×D4—32no—
111C2×D3×D4—32no—
112C2×D3×D4—32no—
113C2×D3×D4—32no—
114C2×D3×D4—62no—
115C2×D3×D4—61no—
116C2×D3×D4—61no—
117C2×D3×D4—61no—
118C2×D3×D4—62no—
119C22×D12—61no—
120C2×C3×D8—32no—
121C2×C3×D8—32no—
122C2×C3×D8—32no—
123C3×#127—21no—
124C3×#127—31no—
125C3×#127C2×D311yescharacteristic, complemented
126C3×#127C2×D311yescharacteristic, complemented
127C3×C4×D4—31no—
128#938—32no—
129#938—32no—
130#938—32no—
131#938—62no—
132#938—61no—
133#938—61no—
134#938—61no—
135#938—62no—
136#937—62no—
137#937—62no—
138#937—62no—
139#937—64no—
140C2×#213—31no—
141C2×#213—32no—
142C2×#213C2×D312yescomplemented
143C2×#213C2×D312yescomplemented
144C2×#213C2×D312yescomplemented
145#930—61no—
146D3×D8—68no—
147D3×D8—68no—
148C2×D24—31no—
149C2×D24—32no—
150C2×D3×C8—32no—
151C2×D3×C8—32no—
152#895—32no—
153#882—62no—
154#874C2×D311yescharacteristic, complemented
155C4×D12—31no—
156C4×D12—31no—
157C4×D12—31no—
158C4×D12—31no—
159C4×D12—61no—
160C4×D12—61no—
161C4×D12C2×D311yescharacteristic, complemented
162C3×C4⋊C8—31no—
163C3×#102—32no—
164C3×C4×C8—31no—
165#832—31no—
166#832—32no—
167#832C2×D312yescomplemented
168#821—31no—
169#821—32no—
170#821—31no—
171(C2×D3)⋊C8—32no—
172(C2×D3)⋊C8—32no—
173#818—31no—
174#809—31no—
175#807—31no—
176C4⋊(C3⋊C8)C2×D311yescharacteristic, complemented
177C4×C3⋊C8C2×D311yescharacteristic, complemented
178C23×C32—22no—
179C22×C3⋊D3—21no—
180C22×C3⋊D3—44no—
181C22×C3⋊D3—44no—
182C22×C3⋊D3—82no—
183C22×C3⋊D3C2×D412yes—
184C22×C3×D3—21no—
185C22×C3×D3—22no—
186C2×D32—44no—
187C2×D32—44no—
188C2×D32—82no—
189C32×D4—22no—
190C32×D4—22no—
191C32×D4—42no—
192C32×D4—81no—
193C2×C32×C4C2×D411yescharacteristic
194C2×C32×C4C2×D411yescharacteristic
195C2×C32×C4C2411yescharacteristic
196#638—44no—
197#638—44no—
198C2×C3⋊Dic3—21no—
199C2×C3⋊Dic3C2×D412yes—
200C4⋊(C3⋊D3)—21no—
201C4⋊(C3⋊D3)D814yescomplemented
202C4⋊(C3⋊D3)C2×D412yescomplemented
203C4×C3⋊D3—22no—
204C4×C3⋊D3—22no—
205C4×C3⋊D3—42no—
206C2×C3×Dic3—21no—
207C3×D12—22no—
208C3×D12—21no—
209C3×D12—22no—
210C3×D12—42no—
211C3×D12—81no—
212C3×D12C2×D412yescomplemented
213C3×C4×D3—42no—
214#626—44no—
215#625—44no—
216C3×C3⋊C8—22no—
217C3×C3⋊C8—21no—
218C3×C3⋊C8C2×D412yescomplemented
219C22×D8—92no—
220D42—91no—
221D42—91no—
222#493—31no—
223#466—92no—
224#459—31no—
225#459—91no—
226#447—92no—
227#447—92no—
228C4×D8—91no—
229C8×D4—91no—
230C23×D3—62no—
231C23×D3—62no—
232C23×D3—62no—
233C23×D3—62no—
234C23×D3—64no—
235C2×C3×D4—22no—
236C2×C3×D4—22no—
237C2×C3×D4—21no—
238C2×C3×D4—21no—
239C2×C3×D4—21no—
240C2×C3×D4—21no—
241C2×C3×D4—22no—
242C2×C3×D4—31no—
243C2×C3×D4—32no—
244C2×C3×D4—61no—
245C2×C3×D4—61no—
246C2×C3×D4C22×D312yes—
247C2×C3×D4C22×D312yes—
248C22×C3×C4—61no—
249C2×#67—62no—
250C2×#67—62no—
251C2×#67—62no—
252C2×#67—62no—
253C2×#67—62no—
254C2×#67—62no—
255C2×#67—62no—
256C2×#67—64no—
257C2×#67—64no—
258D3×D4—64no—
259D3×D4—64no—
260D3×D4—64no—
261D3×D4—64no—
262D3×D4—124no—
263D3×D4—124no—
264D3×D4—122no—
265D3×D4—122no—
266D3×D4—122no—
267D3×D4—122no—
268D3×D4—124no—
269D3×D4—124no—
270D3×D4—124no—
271D3×D4—128no—
272C2×D12—21no—
273C2×D12—21no—
274C2×D12—31no—
275C2×D12—31no—
276C2×D12—31no—
277C2×D12—31no—
278C2×D12—61no—
279C2×D12—61no—
280C2×D12—62no—
281C2×D12—124no—
282C2×D12C22×D312yes—
283C2×D12C22×D311yescharacteristic
284C2×C4×D3—21no—
285C2×C4×D3—32no—
286C2×C4×D3—32no—
287C2×C4×D3—62no—
288C2×C4×D3—62no—
289C2×C4×D3—61no—
290C2×C4×D3—61no—
291C3×D8—64no—
292C3×D8—64no—
293C3×D8—122no—
294C2×C3×C8—31no—
295C2×C3×C8—31no—
296C2×C3×C8—32no—
297C3×C4⋊C4—31no—
298C3×C22⋊C4—61no—
299C3×C42—21no—
300C3×C42C22×D311yescharacteristic
301C3×C42C22×D311yescharacteristic
302#217—62no—
303#217—62no—
304#217—62no—
305#217—64no—
306#213—24no—
307#213—24no—
308#213—34no—
309#213—42no—
310#213—64no—
311(C2×D3)⋊C4—21no—
312(C2×D3)⋊C4—32no—
313(C2×D3)⋊C4—32no—
314(C2×D3)⋊C4—62no—
315(C2×D3)⋊C4—62no—
316(C2×D3)⋊C4—62no—
317(C2×D3)⋊C4—61no—
318(C2×D3)⋊C4—61no—
319C4⋊Dic3—31no—
320C4⋊Dic3—31no—
321C4⋊Dic3—31no—
322C4⋊Dic3—31no—
323C4⋊Dic3—61no—
324C4⋊Dic3—61no—
325C4⋊Dic3C22×D311yescharacteristic
326C2×C3⋊C8C22×D311yescharacteristic
327C2×C3⋊C8C22×D312yes—
328C2×C3⋊C8C22×D311yescharacteristic
329D24—34no—
330D24—64no—
331D3×C8—64no—
332D3×C8—64no—
333C22×C32—42no—
334C22×C32—42no—
335C22×C32—42no—
336C22×C32C22×D411yescharacteristic
337C2×C3⋊D3—22no—
338C2×C3⋊D3—22no—
339C2×C3⋊D3—22no—
340C2×C3⋊D3—41no—
341C2×C3⋊D3—41no—
342C2×C3⋊D3—88no—
343C2×C3⋊D3C2×D814yescomplemented
344C2×C3×D3—22no—
345C2×C3×D3—41no—
346C2×C3×D3—41no—
347C2×C3×D3—42no—
348C2×C3×D3—42no—
349C2×C3×D3—42no—
350D32—88no—
351C32×C4—21no—
352C32×C4C2×D812yescomplemented
353C32×C4C22×D411yescharacteristic
354C32×C4H(5,𝔽2)11yescharacteristic
355C3⋊Dic3—22no—
356C3⋊Dic3—41no—
357C3×Dic3—41no—
358C22×D4—92no—
359C22×D4—92no—
360C22×D4—181no—
361C22×D4—181no—
362C2×D8—32no—
363C2×D8—32no—
364C2×D8—32no—
365C2×D8—91no—
366C2×D8—92no—
367C2×D8—188no—
368C22×C8—92no—
369#127—31no—
370#127D3211yescharacteristic, complemented
371#121—92no—
372#121—92no—
373#121—181no—
374#121—181no—
375#120—182no—
376#120—182no—
377C4×D4—31no—
378C4×D4—91no—
379C4×D4—91no—
380#107—91no—
381C4⋊C8—31no—
382#102—32no—
383#102—91no—
384#102—91no—
385#102—92no—
386C22⋊C8—92no—
387C4×C8—31no—
388C23×C3—24no—
389C23×C3—22no—
390C23×C3—22no—
391C23×C3—61no—
392C23×C3—62no—
393C22×D3—21no—
394C22×D3—22no—
395C22×D3—32no—
396C22×D3—32no—
397C22×D3—62no—
398C22×D3—62no—
399C22×D3—61no—
400C22×D3—61no—
401C22×D3—124no—
402C22×D3—124no—
403C22×D3—124no—
404C22×D3—124no—
405C22×D3—124no—
406C22×D3—124no—
407C22×D3—124no—
408C22×D3—124no—
409C22×D3—128no—
410C22×D3—128no—
411C22×D3—242no—
412C22×D3—242no—
413C22×D3—242no—
414C22×D3—242no—
415C22×D3—244no—
416C3×D4—22no—
417C3×D4—22no—
418C3×D4—22no—
419C3×D4—22no—
420C3×D4—32no—
421C3×D4—42no—
422C3×D4—42no—
423C3×D4—44no—
424C3×D4—42no—
425C3×D4—42no—
426C3×D4—62no—
427C3×D4—61no—
428C3×D4—62no—
429C3×D4—81no—
430C3×D4—81no—
431C3×D4—82no—
432C3×D4—122no—
433C3×D4—241no—
434C2×C3×C4—21no—
435C2×C3×C4—21no—
436C2×C3×C4—21no—
437C2×C3×C4—61no—
438C2×C3×C4—122no—
439C2×C3×C4D3×D411yescharacteristic
440C2×C3×C4D3×D411yescharacteristic
441C2×C3×C4D3×D411yescharacteristic
442C2×C3×C4D3×D411yescharacteristic
443C2×C3×C4C23×D311yescharacteristic
444C2×C3×C4C23×D311yescharacteristic
445#67—124no—
446#67—124no—
447#67—124no—
448#67—124no—
449#67—124no—
450#67—124no—
451#67—124no—
452#67—128no—
453#67—128no—
454C2×Dic3—21no—
455C2×Dic3—32no—
456C2×Dic3—32no—
457C2×Dic3—62no—
458C2×Dic3—62no—
459C2×Dic3—61no—
460C2×Dic3—61no—
461D12—22no—
462D12—22no—
463D12—21no—
464D12—34no—
465D12—34no—
466D12—32no—
467D12—32no—
468D12—42no—
469D12—64no—
470D12—62no—
471D12—62no—
472D12—61no—
473D12—61no—
474D12—81no—
475D12—124no—
476D12D3×D412yescomplemented
477C4×D3—42no—
478C4×D3—62no—
479C4×D3—62no—
480C4×D3—62no—
481C4×D3—62no—
482C4×D3—122no—
483C4×D3—122no—
484C4×D3—124no—
485C4×D3—122no—
486C4×D3—122no—
487C3×C8—32no—
488C3×C8—62no—
489C3×C8—61no—
490C3⋊C8—22no—
491C3⋊C8—21no—
492C3⋊C8D3×D412yescomplemented
493C2×C32—82no—
494C2×C32D4211yescharacteristic
495C2×C32C22×D811yescharacteristic
496C2×C32#57611yescharacteristic
497C3⋊D3—24no—
498C3⋊D3—42no—
499C3×D3—42no—
500C3×D3—82no—
501C24—182no—
502C24—182no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—31no—
506C2×D4—32no—
507C2×D4—61no—
508C2×D4—61no—
509C2×D4—91no—
510C2×D4—91no—
511C2×D4—182no—
512C2×D4—182no—
513C2×D4—182no—
514C2×D4—184no—
515C2×D4—184no—
516C2×D4—182no—
517C2×D4—364no—
518C2×D4—362no—
519C2×D4—362no—
520C2×D4—364no—
521C2×D4C2×D3212yes—
522C22×C4—61no—
523C22×C4—92no—
524C22×C4—181no—
525D8—64no—
526D8—64no—
527D8—94no—
528D8—122no—
529D8—184no—
530C2×C8—31no—
531C2×C8—31no—
532C2×C8—32no—
533C2×C8—184no—
534C4⋊C4—31no—
535C4⋊C4—91no—
536C4⋊C4—91no—
537C22⋊C4—61no—
538C22⋊C4—92no—
539C22⋊C4—182no—
540C22⋊C4—182no—
541C22⋊C4—181no—
542C42C2×D3211yescharacteristic
543C22×C3—21no—
544C22×C3—44no—
545C22×C3—44no—
546C22×C3—44no—
547C22×C3—42no—
548C22×C3—42no—
549C22×C3—42no—
550C22×C3—42no—
551C22×C3—42no—
552C22×C3—42no—
553C22×C3—62no—
554C22×C3—121no—
555C22×C3—121no—
556C22×C3—122no—
557C22×C3—122no—
558C22×C3—122no—
559C22×C3C2×D3×D411yescharacteristic
560C22×C3C2×D3×D411yescharacteristic
561C2×D3—22no—
562C2×D3—34no—
563C2×D3—34no—
564C2×D3—41no—
565C2×D3—41no—
566C2×D3—42no—
567C2×D3—42no—
568C2×D3—42no—
569C2×D3—64no—
570C2×D3—62no—
571C2×D3—62no—
572C2×D3—62no—
573C2×D3—62no—
574C2×D3—64no—
575C2×D3—62no—
576C2×D3—62no—
577C2×D3—122no—
578C2×D3—122no—
579C2×D3—122no—
580C2×D3—122no—
581C2×D3—121no—
582C2×D3—121no—
583C2×D3—121no—
584C2×D3—121no—
585C2×D3—248no—
586C2×D3—248no—
587C2×D3—248no—
588C2×D3—248no—
589C2×D3—2416no—
590C3×C4—21no—
591C3×C4—21no—
592C3×C4—21no—
593C3×C4—21no—
594C3×C4—22no—
595C3×C4—41no—
596C3×C4—121no—
597C3×C4D3×D812yescomplemented
598C3×C4D3×D812yescomplemented
599C3×C4C2×D3×D411yescharacteristic
600C3×C4C2×D3×D411yescharacteristic
601C3×C4#100411yescharacteristic
602C3×C4#100911yescharacteristic
603Dic3—41no—
604Dic3—62no—
605Dic3—62no—
606Dic3—122no—
607Dic3—122no—
608Dic3—121no—
609Dic3—121no—
610C32D4×D811yescharacteristic, complemented, Sylow
611C23—22no—
612C23—61no—
613C23—62no—
614C23—92no—
615C23—181no—
616C23—364no—
617C23—364no—
618C23—364no—
619C23—364no—
620C23—722no—
621C23—722no—
622D4—22no—
623D4—22no—
624D4—32no—
625D4—42no—
626D4—62no—
627D4—61no—
628D4—62no—
629D4—81no—
630D4—92no—
631D4—94no—
632D4—122no—
633D4—181no—
634D4—241no—
635D4—364no—
636D4—364no—
637D4—364no—
638D4—364no—
639C2×C4—61no—
640C2×C4—92no—
641C2×C4—122no—
642C2×C4—182no—
643C2×C4—182no—
644C2×C4—181no—
645C2×C4—362no—
646C2×C4#381111yescharacteristic
647C2×C4#381111yescharacteristic
648C2×C4C22×D3211yescharacteristic
649C8—32no—
650C8—62no—
651C8—61no—
652C2×C3—21no—
653C2×C3—21no—
654C2×C3—21no—
655C2×C3—84no—
656C2×C3—82no—
657C2×C3—82no—
658C2×C3—122no—
659C2×C3—242no—
660C2×C3#560911yescharacteristic
661C2×C3#571711yescharacteristic
662C2×C3C2×D3×D811yescharacteristic
663C2×C3C2×D3×D811yescharacteristic
664C2×C3#575711yescharacteristic
665C2×C3#577411yescharacteristic
666D3—42no—
667D3—64no—
668D3—64no—
669D3—82no—
670D3—124no—
671D3—124no—
672D3—122no—
673D3—122no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—62no—
678C22—94no—
679C22—121no—
680C22—121no—
681C22—122no—
682C22—122no—
683C22—122no—
684C22—182no—
685C22—182no—
686C22—182no—
687C22—361no—
688C22—361no—
689C22—728no—
690C22—728no—
691C22C2×#381111yescharacteristic
692C4—21no—
693C4—121no—
694C4—182no—
695C4—361no—
696C4#6392612yescomplemented
697C4D32×D411yescharacteristic
698C4#6431411yescharacteristic
699C3—21no—
700C3#8035011yescharacteristic, complemented
701C3#8178911yescharacteristic, complemented
702C2—82no—
703C2—122no—
704C2—184no—
705C2—242no—
706C2—362no—
707C2C2×#6392611yescharacteristic
708C2#1059510211yescharacteristic
709C2#1059529711yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#127C22
socleC22×C32C22×D4
hypercenter#127D32
hypocenterC32D4×D8
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #127

Complements

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

NH ≅ G/Ntype
1. #10596188C2semidirect
2. C2×#63926C2semidirect
3. #10594004C2semidirect
4. C3×#5073C2semidirect
5. C3×#5072C2semidirect
6. #10591516C2semidirect
7. #10591456C2semidirect
8. #10591455C2semidirect
9. #10590355C2semidirect
10. C4×#3714C2semidirect
11. #10590327C2semidirect
15. C2×D4×C3⋊D3C22semidirect
16. C2×#3802C22semidirect
18. C32×#127C22semidirect
20. #64147C22semidirect
23. C4×C4⋊(C3⋊D3)C22semidirect
24. C2×C3×#213C22semidirect
25. C2×C3×#213C22semidirect
26. C2×C3×#213C22semidirect
27. C3×#874C22semidirect
28. C3×C4×D12C22semidirect
31. #63916C22semidirect
34. C2×#3714C22semidirect
35. C2×#3710C22semidirect
36. C3×#832C22semidirect
37. C3×C4⋊(C3⋊C8)C22semidirect
38. C3×C4×C3⋊C8C22semidirect
39. #63575C22semidirect
40. #63564C22semidirect
41. #63563C22semidirect
42. #63563C22semidirect
43. #63557C22semidirect
57. #5073D3semidirect
59. #5072D3semidirect
107. #3714D4semidirect
125. C3×#127C2×D3semidirect
126. C3×#127C2×D3semidirect
142. C2×#213C2×D3semidirect
143. C2×#213C2×D3semidirect
144. C2×#213C2×D3semidirect
154. #874C2×D3semidirect
161. C4×D12C2×D3semidirect
167. #832C2×D3semidirect
176. C4⋊(C3⋊C8)C2×D3semidirect
177. C4×C3⋊C8C2×D3semidirect
201. C4⋊(C3⋊D3)D8semidirect
202. C4⋊(C3⋊D3)C2×D4semidirect
212. C3×D12C2×D4semidirect
218. C3×C3⋊C8C2×D4semidirect
343. C2×C3⋊D3C2×D8semidirect
352. C32×C4C2×D8semidirect
370. #127D32semidirect
476. D12D3×D4semidirect
492. C3⋊C8D3×D4semidirect
597. C3×C4D3×D8semidirect
598. C3×C4D3×D8semidirect
610. C32D4×D8semidirect
696. C4#63926semidirect
700. C3#80350semidirect
701. C3#81789semidirect

Maximal subgroups

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

subgroupindex
#105961882
C2×#639262
#105940042
C3×#50732
C3×#50722
#105915162
#105914562
#105914552
#105903552
C4×#37142
#105903272
#817893
#803503