Finite Group Databasebeta

← #25164629

Subgroups — #25164629

Order 11008.

910 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19138956C211yesmaximal, characteristic, complemented
2#19137616C211yesmaximal, characteristic, complemented
3#19135775C211yesmaximal, characteristic, complemented
4#19135731C211yesmaximal, characteristic, complemented
5#19135590C211yesmaximal, characteristic
6#19135546C211yesmaximal, characteristic, complemented
7#19135275C211yesmaximal, characteristic, complemented
8#19135212C211yesmaximal, characteristic, complemented
9#19135200C211yesmaximal, characteristic, complemented
10#19135164C211yesmaximal, characteristic, complemented
11#19134945C211yesmaximal, characteristic, complemented
12#19134909C211yesmaximal, characteristic, complemented
13#19134680C211yesmaximal, characteristic, complemented
14#102×Dic43C211yesmaximal, characteristic, complemented
15C43×#2054C211yesmaximal, characteristic, complemented
16C2×#13063325C2211yescharacteristic
17C2×#13063311—21no—
18C2×#13063296C2211yescharacteristic
19C2×#13063296C2211yescharacteristic
20C2×D4×Dic43C2211yescharacteristic
21C2×(C22⋊D43)⋊C4—21no—
22C2×C4⋊C4×D43C2211yescharacteristic
23C2×#13063258C2211yescharacteristic
24C2×#13063246C2211yescharacteristic
25C2×#13063246C2211yescharacteristic
26C2×#13063246C2211yescharacteristic
27C2×#13063246C2211yescharacteristic
28C2×(C2×D43)⋊C8C2211yescharacteristic
29C2×(C2×D43)⋊C8C2211yescharacteristic
30C2×C8×Dic43C2211yescharacteristic
31#14582815—21no—
32#14582811—21no—
33#14582802C2211yescharacteristic
34#14582795C2211yescharacteristic
35#14582792—21no—
36#14582787—21no—
37#14582775—21no—
38#14582771—21no—
39#14582756C2211yescharacteristic
40C4⋊C4×Dic43C2211yescharacteristic
41C4×C4⋊Dic43C2211yescharacteristic
42C4×(C2×D43)⋊C4C2211yescharacteristic
43#14582662C2211yescharacteristic
44#14582662C2211yescharacteristic
45#14582662C2211yescharacteristic
46#14582662C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582654C2211yescharacteristic
51#14582653C2211yescharacteristic
52C22×D8×C43C2211yescharacteristic
53C2×C4⋊C8×C43C2211yescharacteristic
54C2×#102×C43C2211yescharacteristic
55C2×#102×C43C2211yescharacteristic
56C43×#390C2211yescharacteristic
57C43×#390C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C22×Dic86—21no—
60C22×C22⋊D43—21no—
61C22×C22⋊D43—21no—
62C23×Dic43—21no—
63C22×C4×D43—21no—
64C22×C4×D43C2311yescharacteristic
65C22×C43⋊C8C2311yescharacteristic
66C22×C43⋊C8C2311yescharacteristic
67#13063325—22no—
68#13063325—41no—
69#13063311—44no—
70#13063296—22no—
71#13063296—22no—
72#13063296—22no—
73#13063296—41no—
74D4×Dic43—22no—
75D4×Dic43—41no—
76(C22⋊D43)⋊C4—44no—
77C2×C4⋊Dic43—21no—
78C2×C4⋊Dic43C2311yescharacteristic
79C2×C4⋊Dic43C2311yescharacteristic
80C2×C4⋊Dic43C2311yescharacteristic
81C2×C4⋊Dic43C2311yescharacteristic
82C2×Dic43⋊C4—21no—
83C2×Dic43⋊C4—21no—
84C4⋊C4×D43—22no—
85C4⋊C4×D43—41no—
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×C22⋊Dic43—21no—
91C2×(C2×D43)⋊C4—21no—
92C2×(C2×D43)⋊C4D411yescharacteristic
93C2×(C2×D43)⋊C4D411yescharacteristic
94C2×C4×Dic43—21no—
95C2×C4×Dic43—21no—
96C2×C4×Dic43C2311yescharacteristic
97#13063258—22no—
98#13063246—22no—
99#13063246—22no—
100#13063246—22no—
101#13063246—41no—
102(C2×D43)⋊C8—41no—
103(C2×D43)⋊C8—41no—
104C8×Dic43—41no—
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95D411yescharacteristic
110C43⋊#95D411yescharacteristic
111C22×D4×C43C2311yescharacteristic
112C22×D4×C43C2311yescharacteristic
113C2×D8×C43—22no—
114C2×D8×C43—41no—
115C2×D8×C43—41no—
116C22×C8×C43C2311yescharacteristic
117C22×C8×C43C2311yescharacteristic
118C2×C4⋊C4×C43C2311yescharacteristic
119C2×C4⋊C4×C43C2311yescharacteristic
120C2×C22⋊C4×C43—21no—
121C2×C22⋊C4×C43—21no—
122C2×C22⋊C4×C43—21no—
123C2×C22⋊C4×C43—21no—
124C2×C42×C43C2311yescharacteristic
125C4⋊C8×C43—41no—
126#102×C43—22no—
127#102×C43—41no—
128C24×C43—21no—
129C24×C43—21no—
130C23×D43C2×D411yescharacteristic
131C2×D4×C43—21no—
132C2×D4×C43—21no—
133C2×D4×C43—21no—
134C2×D4×C43—21no—
135C2×D4×C43—21no—
136C2×D4×C43—21no—
137C2×D4×C43—21no—
138C2×D4×C43—21no—
139C2×D4×C43—21no—
140C2×D4×C43—21no—
141C2×D4×C43—21no—
142C2×D4×C43#4112yes—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43C2×D411yescharacteristic
146C22×C4×C43C2×D411yescharacteristic
147C22×C4×C43C2411yescharacteristic
148C2×C22⋊D43—24no—
149C2×C22⋊D43—42no—
150C2×C22⋊D43—42no—
151C2×C22⋊D43—42no—
152C2×C22⋊D43—42no—
153C2×C22⋊D43—81no—
154C22×Dic43—21no—
155C22×Dic43—21no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—42no—
159C22×Dic43—42no—
160C22×Dic43—81no—
161C22×Dic43C2×D411yescharacteristic
162C22×Dic43C2×D411yescharacteristic
163C22×Dic43C2×D411yescharacteristic
164C2×C4×D43—21no—
165C2×C4×D43—21no—
166C2×C4×D43—21no—
167C2×C4×D43—21no—
168C2×C4×D43—21no—
169C2×C4×D43—21no—
170C2×C4×D43—42no—
171C2×C4×D43—42no—
172C2×C4×D43—81no—
173C2×Dic86—42no—
174C2×Dic86—42no—
175C2×Dic86—81no—
176D8×C43—44no—
177C2×C8×C43—21no—
178C2×C8×C43—21no—
179C2×C8×C43—21no—
180C2×C8×C43—21no—
181C2×C8×C43—21no—
182C2×C8×C43—21no—
183C4⋊C4×C43—21no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—21no—
187C22⋊C4×C43—42no—
188C22⋊C4×C43—42no—
189C22⋊C4×C43—42no—
190C22⋊C4×C43—81no—
191C42×C43—21no—
192C42×C43—21no—
193C22⋊Dic43—24no—
194C22⋊Dic43—42no—
195C22⋊Dic43—42no—
196C22⋊Dic43—42no—
197C22⋊Dic43—81no—
198(C2×D43)⋊C4—41no—
199(C2×D43)⋊C4—42no—
200(C2×D43)⋊C4D814yescomplemented
201C4⋊Dic43—21no—
202C4⋊Dic43—21no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—42no—
207C4⋊Dic43#4112yes—
208C4⋊Dic43#4112yes—
209C4⋊Dic43#4112yes—
210Dic43⋊C4—42no—
211Dic43⋊C4—42no—
212C4×Dic43—21no—
213C4×Dic43—21no—
214C4×Dic43—42no—
215C4×Dic43—42no—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C23×C43—22no—
223C23×C43—41no—
224C23×C43—41no—
225C23×C43—41no—
226C23×C43—41no—
227C23×C43—41no—
228C23×C43—41no—
229C23×C43—41no—
230C23×C43—41no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43C22×D411yescharacteristic
237C22×D43—21no—
238C22×D43—21no—
239C22×D43—21no—
240C22×D43—21no—
241C22×D43—21no—
242C22×D43—21no—
243C22×D43C2×D812yes—
244D4×C43—22no—
245D4×C43—22no—
246D4×C43—41no—
247D4×C43—41no—
248D4×C43—41no—
249D4×C43—41no—
250D4×C43—41no—
251D4×C43—41no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—41no—
258C2×C4×C43—41no—
259C2×C4×C43—41no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43C2×D812yes—
264C2×C4×C43C2×#4111yescharacteristic
265C2×C4×C43C2×#4111yescharacteristic
266C2×C4×C43C2×#4111yescharacteristic
267C2×C4×C43C2×#4111yescharacteristic
268C2×C4×C43H(5,𝔽2)11yescharacteristic
269C2×C4×C43H(5,𝔽2)11yescharacteristic
270C22⋊D43—48no—
271C22⋊D43—84no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—22no—
275C2×Dic43—21no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—22no—
279C2×Dic43—22no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—84no—
293C2×Dic43C2×D812yes—
294C4×D43—41no—
295C4×D43—41no—
296C4×D43—41no—
297C4×D43—41no—
298C4×D43—84no—
299Dic86—84no—
300C8×C43—41no—
301C8×C43—41no—
302C43⋊C8—41no—
303C43⋊C8—41no—
304#26720—431nomaximal, Sylow
305C22×C43—42no—
306C22×C43—42no—
307C22×C43—42no—
308C22×C43—81no—
309C22×C43—81no—
310C22×C43—81no—
311C22×C43—81no—
312C22×C43—81no—
313C22×C43—81no—
314C22×C43—81no—
315C22×C43—81no—
316C22×C43—81no—
317C22×C43—81no—
318C22×C43—81no—
319C22×C43#52511yescharacteristic
320C22×C43#54611yescharacteristic
321C22×C43#54611yescharacteristic
322C22×C43C22×D811yescharacteristic
323C22×C43#57511yescharacteristic
324C22×C43#57711yescharacteristic
325C22×C43#57711yescharacteristic
326C2×D43—22no—
327C2×D43—22no—
328C2×D43—22no—
329C2×D43—41no—
330C2×D43—41no—
331C2×D43—41no—
332C2×D43—41no—
333C4×C43—22no—
334C4×C43—41no—
335C4×C43—81no—
336C4×C43—81no—
337C4×C43#52911yescharacteristic
338C4×C43#53811yescharacteristic
339C4×C43#55511yescharacteristic
340C4×C43#55911yescharacteristic
341Dic43—22no—
342Dic43—42no—
343Dic43—41no—
344Dic43—42no—
345Dic43—42no—
346Dic43—41no—
347Dic43—81no—
348#2491—431no—
349#2361—431no—
350#2054D4311yescharacteristic, complemented
351#2033—431no—
352#2023—431no—
353#1999—431no—
354#1988—431no—
355#1934—431no—
356#1925—431no—
357#1923—431no—
358#1918—431no—
359#1879—431no—
360#1874—431no—
361#1823—431no—
362C4×#102—431no—
363C2×C43—82no—
364C2×C43—161no—
365C2×C43#245911yescharacteristic
366C2×C43#310011yescharacteristic
367C2×C43#312511yescharacteristic
368C2×C43#329411yescharacteristic
369C2×C43#329411yescharacteristic
370C2×C43#332111yescharacteristic
371C2×C43#332611yescharacteristic
372D43—42no—
373C22×D8C2×D4311yescharacteristic
374C2×C4⋊Q8—431no—
375C2×#124—861no—
376C2×#121—431no—
377C2×#121—431no—
378C2×C4×D4—431no—
379C2×C4×D4—861no—
380C22×C4⋊C4—431no—
381C2×#107—431no—
382C2×C4⋊C8C2×D4311yescharacteristic
383C2×#102—431no—
384C2×#102—431no—
385C2×#102—431no—
386C2×#102—431no—
387C2×#102C2×D4311yescharacteristic
388C2×#102C2×D4311yescharacteristic
389C2×C22⋊C8—431no—
390C2×C22⋊C8—431no—
391C2×C4×C8—431no—
392#394—861no—
393#393—861no—
394#390—431no—
395#390C2×D4311yescharacteristic
396#390C2×D4311yescharacteristic
397#389—431no—
398#388—861no—
399#388—861no—
400#386—861no—
401#385—861no—
402#380—431no—
403C4×C4⋊C4—431no—
404C4×C4⋊C4—431no—
405C4×C22⋊C4—431no—
406#340—431no—
407#340—431no—
408#340—431no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#340C2×D4311yescharacteristic
414#336—431no—
415#336—431no—
416C43#2672011yescharacteristic, complemented, Sylow
417C22×Q8—861no—
418C22×D4—861no—
419C22×D4—861no—
420C22×D4C22×D4311yescharacteristic
421C22×D4C22×D4311yescharacteristic
422C23×C4—431no—
423C23×C4—861no—
424C23×C4—861no—
425C2×D8—22no—
426C2×D8—41no—
427C2×D8—41no—
428C22×C8—431no—
429C22×C8—431no—
430C22×C8C22×D4311yescharacteristic
431C22×C8C22×D4311yescharacteristic
432C4⋊Q8—862no—
433C4⋊Q8—1721no—
434#124—1724no—
435#121—862no—
436#121—862no—
437#121—862no—
438#121—1721no—
439C4×D4—862no—
440C4×D4—1721no—
441C4×D4—1724no—
442C2×C4⋊C4—431no—
443C2×C4⋊C4—431no—
444C2×C4⋊C4—431no—
445C2×C4⋊C4—431no—
446C2×C4⋊C4—862no—
447C2×C4⋊C4—861no—
448C2×C4⋊C4—861no—
449C2×C4⋊C4—861no—
450C2×C4⋊C4—1721no—
451C2×C4⋊C4C22×D4311yescharacteristic
452C2×C4⋊C4C22×D4311yescharacteristic
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—431no—
458C2×C22⋊C4—431no—
459C2×C22⋊C4—861no—
460C2×C22⋊C4—861no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C22⋊C4—861no—
464C2×C22⋊C4—861no—
465C2×C42—431no—
466C2×C42—861no—
467C2×C42—861no—
468C2×C42C22×D4311yescharacteristic
469#107—862no—
470C4⋊C8—41no—
471#102—22no—
472#102—41no—
473#102—862no—
474#102—862no—
475#102—862no—
476#102—1721no—
477C22⋊C8—1721no—
478C22⋊C8—1721no—
479C4×C8—1721no—
480#95—431no—
481#95—431no—
482#95—861no—
483#95—861no—
484#95—861no—
485#95—861no—
486C24—21no—
487C24—21no—
488C24—431no—
489C2×Q8—3441no—
490C2×Q8—1722no—
491C2×Q8—1722no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—864no—
504C2×D4—3441no—
505C2×D4—1722no—
506C2×D4—1722no—
507C2×D4—1722no—
508C2×D4—1722no—
509C2×D4#1062190012yes—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—431no—
513C22×C4—431no—
514C22×C4—431no—
515C22×C4—861no—
516C22×C4—861no—
517C22×C4—861no—
518C22×C4—861no—
519C22×C4—861no—
520C22×C4—861no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—861no—
525C22×C4—3441no—
526C22×C4—3441no—
527C22×C4—1722no—
528C22×C4—1722no—
529C22×C4—1722no—
530C22×C4—1722no—
531C22×C4D4×D4311yescharacteristic
532C22×C4D4×D4311yescharacteristic
533C22×C4C23×D4311yescharacteristic
534D8—44no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—861no—
542C2×C8—861no—
543C2×C8—861no—
544C2×C8—861no—
545C2×C8—861no—
546C2×C8—861no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—432no—
552C4⋊C4—432no—
553C4⋊C4—432no—
554C4⋊C4—861no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4—861no—
558C4⋊C4—861no—
559C4⋊C4—1722no—
560C4⋊C4—1722no—
561C4⋊C4—1722no—
562C22⋊C4—42no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—81no—
566C22⋊C4—434no—
567C22⋊C4—864no—
568C22⋊C4—3441no—
569C22⋊C4—1721no—
570C22⋊C4—1722no—
571C22⋊C4—1722no—
572C22⋊C4—1722no—
573C22⋊C4—1722no—
574C42—21no—
575C42—21no—
576C42—861no—
577C42—861no—
578C42—1722no—
579C42—1722no—
580C23—22no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—432no—
595C23—861no—
596C23—861no—
597C23—861no—
598C23—861no—
599C23—861no—
600C23—861no—
601C23C2×D4×D4311yescharacteristic
602Q8—3444no—
603D4—22no—
604D4—22no—
605D4—41no—
606D4—41no—
607D4—41no—
608D4—41no—
609D4—41no—
610D4—41no—
611D4—3444no—
612D4—1728no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—432no—
625C2×C4—861no—
626C2×C4—861no—
627C2×C4—861no—
628C2×C4—862no—
629C2×C4—861no—
630C2×C4—861no—
631C2×C4—861no—
632C2×C4—862no—
633C2×C4—861no—
634C2×C4—862no—
635C2×C4—861no—
636C2×C4—3444no—
637C2×C4—3444no—
638C2×C4—1721no—
639C2×C4—1721no—
640C2×C4—1721no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4D8×D4312yes—
652C2×C4#41×D4311yescharacteristic
653C2×C4#41×D4311yescharacteristic
654C2×C4#41×D4311yescharacteristic
655C2×C4C2×#1062190011yescharacteristic
656C2×C4#1306337011yescharacteristic
657C2×C4#1306337011yescharacteristic
658C8—41no—
659C8—41no—
660C8—1721no—
661C8—1721no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22—81no—
676C22—862no—
677C22—862no—
678C22—862no—
679C22—1721no—
680C22—1721no—
681C22—1721no—
682C22—1721no—
683C22#1458340911yescharacteristic
684C22#1458353811yescharacteristic
685C22#1458354611yescharacteristic
686C22C2×D8×D4311yescharacteristic
687C22#1458369511yescharacteristic
688C22#1458370611yescharacteristic
689C22#1458370911yescharacteristic
690C4—22no—
691C4—41no—
692C4—81no—
693C4—81no—
694C4—862no—
695C4—3441no—
696C4—1721no—
697C4—1722no—
698C4—1722no—
699C4—1722no—
700C4—1721no—
701C4#1458342611yescharacteristic
702C4#1458348411yescharacteristic
703C4#1458361111yescharacteristic
704C4#1458363311yescharacteristic
705C2—82no—
706C2—161no—
707C2—1722no—
708C2#1913853311yescharacteristic
709C2#1914459411yescharacteristic
710C2#1914486911yescharacteristic
711C2#1914640311yescharacteristic
712C2#1914641111yescharacteristic
713C2#1914678811yescharacteristic
714C2#1914685411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2054C2
socleC23×C43C22×D4
prime radical#19135590C2
hypercenter#2054D43
hypocenterC43#26720
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2054

Complements

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

NH ≅ G/Ntype
1. #19138956C2semidirect
2. #19137616C2semidirect
3. #19135775C2semidirect
4. #19135731C2semidirect
6. #19135546C2semidirect
7. #19135275C2semidirect
8. #19135212C2semidirect
9. #19135200C2semidirect
10. #19135164C2semidirect
11. #19134945C2semidirect
12. #19134909C2semidirect
13. #19134680C2semidirect
14. #102×Dic43C2semidirect
15. C43×#2054C2semidirect
200. (C2×D43)⋊C4D8semidirect
350. #2054D43semidirect
416. C43#26720semidirect

Maximal subgroups

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

subgroupindex
#191389562
#191376162
#191357752
#191357312
#191355902
#191355462
#191352752
#191352122
#191352002
#191351642
#191349452
#191349092
#191346802
#102×Dic432
C43×#20542
#2672043