Finite Group Databasebeta

← #34295671

Subgroups — #34295671

Order 20224.

768 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23773309C211yesmaximal, characteristic
2#23772104C211yesmaximal, characteristic
3#23771818C211yesmaximal, characteristic, complemented
4#23764051C211yesmaximal, characteristic, complemented
5#23764051C211yesmaximal, characteristic, complemented
6#23764002C211yesmaximal, characteristic, complemented
7#23764002C211yesmaximal, characteristic, complemented
8#23763605C211yesmaximal, characteristic, complemented
9#23763500C211yesmaximal, characteristic, complemented
10#23763283C211yesmaximal, characteristic, complemented
11#23763278C211yesmaximal, characteristic, complemented
12#23763245C211yesmaximal, characteristic, complemented
13#23763238C211yesmaximal, characteristic, complemented
14#23763184C211yesmaximal, characteristic, complemented
15C79×#1871C211yesmaximal, characteristic
16C2×#14579168C2211yescharacteristic
17C22×#11929608C2211yescharacteristic
18C2×#14579120C2211yescharacteristic
19#19098901C411yescharacteristic, complemented
20#19098901C411yescharacteristic, complemented
21#19098896C411yescharacteristic, complemented
22#19098891C411yescharacteristic, complemented
23#19098884C411yescharacteristic, complemented
24#19098884C411yescharacteristic, complemented
25#19098879C411yescharacteristic, complemented
26#19098874C411yescharacteristic, complemented
27#19098641—21no—
28#19098641—21no—
29#19098635—21no—
30#19098635—21no—
31C2×#14579096C2211yescharacteristic
32C2×#14579096C2211yescharacteristic
33#19098599C2211yescharacteristic
34#19098599C2211yescharacteristic
35#19098590C2211yescharacteristic
36#19098559C2211yescharacteristic
37#19098559C2211yescharacteristic
38#19098530C2211yescharacteristic
39#19098527C2211yescharacteristic
40C2×C22⋊(C79⋊C8)C2211yescharacteristic
41#19098521C2211yescharacteristic
42#19098521C2211yescharacteristic
43#19098521C2211yescharacteristic
44#19098521C2211yescharacteristic
45#19098519C2211yescharacteristic
46#19098518—21no—
47#19098518—21no—
48M16×Dic79—21no—
49M16×Dic79—21no—
50C2×#14579072C2211yescharacteristic
51C2×C4×C79⋊C8C2211yescharacteristic
52#19098327C2211yescharacteristic
53#19098327C2211yescharacteristic
54#19098323C2211yescharacteristic
55#19098323C2211yescharacteristic
56#19098323C2211yescharacteristic
57#19098323C2211yescharacteristic
58#19098318C2211yescharacteristic
59#19098318C2211yescharacteristic
60C22×M16×C79C2211yescharacteristic
61#525×C79C2211yescharacteristic
62C2×#104×C79C2211yescharacteristic
63C2×#104×C79C2211yescharacteristic
64C4×C22⋊C4×C79C2211yescharacteristic
65#339×C79C2211yescharacteristic
66#339×C79C2211yescharacteristic
67#14579168—22no—
68#14579168—22no—
69C2×#11929608—21no—
70C2×#11929608—22no—
71C2×#11929608—22no—
72C2×#11929608D411yescharacteristic
73C2×#11929608D411yescharacteristic
74C2×#11929608D411yescharacteristic
75C2×#11929608D411yescharacteristic
76C2×#11929608C2311yescharacteristic
77C2×#11929608C2311yescharacteristic
78C22×C79⋊C8—21no—
79C22×C79⋊C8C2311yescharacteristic
80C22×C79⋊C8C2311yescharacteristic
81C22×C79⋊C8C2311yescharacteristic
82C22×C79⋊C8C2311yescharacteristic
83#14579120—21no—
84#14579120—21no—
85#14579120C2×C411yescharacteristic
86#14579120C2×C411yescharacteristic
87#14579120C2311yescharacteristic
88#14579120C2311yescharacteristic
89C2×C4⋊Dic79C2×C411yescharacteristic
90C2×C4⋊Dic79C2×C411yescharacteristic
91C2×C22⋊Dic79—21no—
92C2×C4×Dic79—21no—
93#14579096—22no—
94#14579096—22no—
95#14579094C2×C411yescharacteristic
96#14579094C2×C411yescharacteristic
97#14579094C2×C411yescharacteristic
98#14579094C2×C411yescharacteristic
99#14579092C2×C411yescharacteristic
100#14579092C2×C411yescharacteristic
101#14579092C2×C411yescharacteristic
102#14579092C2×C411yescharacteristic
103C4⋊(C79⋊C8)—21no—
104C4⋊(C79⋊C8)—21no—
105#14579085C2×C411yescharacteristic
106#14579085C2×C411yescharacteristic
107#14579085C2×C411yescharacteristic
108#14579085C2×C411yescharacteristic
109#14579082C2×C411yescharacteristic
110#14579082C2×C411yescharacteristic
111#14579082C2×C411yescharacteristic
112#14579082C2×C411yescharacteristic
113C22⋊(C79⋊C8)—21no—
114C22⋊(C79⋊C8)—21no—
115C22⋊(C79⋊C8)—21no—
116C22⋊(C79⋊C8)—21no—
117C22⋊(C79⋊C8)C2×C411yescharacteristic
118C22⋊(C79⋊C8)C2×C411yescharacteristic
119C22⋊(C79⋊C8)C2×C411yescharacteristic
120C22⋊(C79⋊C8)C2×C411yescharacteristic
121#14579072—21no—
122#14579072—22no—
123#14579071—21no—
124#14579071—21no—
125#14579071—21no—
126#14579071—21no—
127C4×C79⋊C8—21no—
128C4×C79⋊C8—22no—
129C8×Dic79—21no—
130C8×Dic79—21no—
131C8×Dic79—21no—
132C8×Dic79—21no—
133C2×#41×C79C2311yescharacteristic
134C23×C4×C79C2311yescharacteristic
135C2×M16×C79—21no—
136C2×M16×C79—22no—
137C2×M16×C79—22no—
138C2×M16×C79C2311yescharacteristic
139C2×M16×C79C2311yescharacteristic
140C22×C8×C79—21no—
141#123×C79—21no—
142C22⋊Q8×C79C2×C411yescharacteristic
143C22⋊Q8×C79C2×C411yescharacteristic
144#121×C79C2×C411yescharacteristic
145#121×C79C2×C411yescharacteristic
146#120×C79—21no—
147C4×D4×C79—21no—
148C4×D4×C79—21no—
149#117×C79C2311yescharacteristic
150C2×C22⋊C4×C79—21no—
151C2×C42×C79C2311yescharacteristic
152C2×C42×C79C2311yescharacteristic
153#104×C79—22no—
154#104×C79—22no—
155#95×C79—21no—
156C22×Dic79—21no—
157C22×Dic79—21no—
158#11929608—22no—
159#11929608—22no—
160#11929608—22no—
161#11929608—22no—
162#11929608—21no—
163#11929608—21no—
164#11929608—21no—
165#11929608—21no—
166#11929608—42no—
167C2×C79⋊C8—21no—
168C2×C79⋊C8—21no—
169C2×C79⋊C8—21no—
170C2×C79⋊C8—21no—
171C2×C79⋊C8—21no—
172C2×C79⋊C8—21no—
173C2×C79⋊C8—21no—
174C2×C79⋊C8—21no—
175C2×C79⋊C8—42no—
176C2×C79⋊C8C22×C411yescharacteristic
177C2×C79⋊C8C22×C411yescharacteristic
178C2×C79⋊C8C22×C411yescharacteristic
179C2×C79⋊C8C22×C411yescharacteristic
180C2×C79⋊C8C2×D411yescharacteristic
181C2×C79⋊C8C2×D411yescharacteristic
182C2×C79⋊C8C2×D411yescharacteristic
183C2×C79⋊C8C2×D411yescharacteristic
184C2×C79⋊C8#4112yes—
185C2×C79⋊C8#4112yes—
186C4⋊Dic79—21no—
187C4⋊Dic79—21no—
188C4⋊Dic79C22×C411yescharacteristic
189C4⋊Dic79C22×C411yescharacteristic
190C4⋊Dic79C22×C411yescharacteristic
191C4⋊Dic79C22×C411yescharacteristic
192C22⋊Dic79—21no—
193C22⋊Dic79—21no—
194C22⋊Dic79—21no—
195C22⋊Dic79—21no—
196C4×Dic79—21no—
197C4×Dic79—21no—
198C4×Dic79—21no—
199C4×Dic79—21no—
200C24×C79#4111yescharacteristic
201#41×C79—21no—
202#41×C79—21no—
203#41×C79—21no—
204#41×C79—21no—
205C2×Q8×C79C22×C411yescharacteristic
206C2×D4×C79—21no—
207C2×D4×C79—21no—
208C2×D4×C79—21no—
209C2×D4×C79C22×C411yescharacteristic
210C22×C4×C79—21no—
211C22×C4×C79—21no—
212C22×C4×C79—21no—
213C22×C4×C79—21no—
214C22×C4×C79—21no—
215C22×C4×C79—21no—
216C22×C4×C79—21no—
217C22×C4×C79C22×C411yescharacteristic
218C22×C4×C79C22×C411yescharacteristic
219C22×C4×C79C2×D411yescharacteristic
220C22×C4×C79C2×D411yescharacteristic
221C22×C4×C79#4111yescharacteristic
222C22×C4×C79C2411yescharacteristic
223M16×C79—24no—
224M16×C79—21no—
225M16×C79—21no—
226M16×C79#4112yes—
227M16×C79#4112yes—
228C2×C8×C79—24no—
229C2×C8×C79—21no—
230C2×C8×C79—21no—
231C4⋊C4×C79—21no—
232C4⋊C4×C79—21no—
233C4⋊C4×C79C22×C411yescharacteristic
234C4⋊C4×C79C22×C411yescharacteristic
235C22⋊C4×C79—21no—
236C22⋊C4×C79—21no—
237C22⋊C4×C79—21no—
238C22⋊C4×C79—21no—
239C22⋊C4×C79—21no—
240C22⋊C4×C79—42no—
241C42×C79—21no—
242C42×C79—21no—
243C42×C79—21no—
244C42×C79—21no—
245C42×C79—21no—
246C23×C79—21no—
247C23×C79—21no—
248C23×C79—21no—
249C23×C79—41no—
250C23×C79—41no—
251C23×C79C4×D411yescharacteristic
252C23×C79C4×D411yescharacteristic
253C23×C79C2×#4111yescharacteristic
254Q8×C79—21no—
255Q8×C79—21no—
256D4×C79—21no—
257D4×C79—21no—
258D4×C79—41no—
259D4×C79—41no—
260D4×C79—81no—
261D4×C79—81no—
262C2×C4×C79—21no—
263C2×C4×C79—21no—
264C2×C4×C79—21no—
265C2×C4×C79—21no—
266C2×C4×C79—21no—
267C2×C4×C79—21no—
268C2×C4×C79—21no—
269C2×C4×C79—21no—
270C2×C4×C79—21no—
271C2×C4×C79—21no—
272C2×C4×C79—22no—
273C2×C4×C79—21no—
274C2×C4×C79—21no—
275C2×C4×C79—21no—
276C2×C4×C79—41no—
277C2×C4×C79—41no—
278C2×C4×C79—41no—
279C2×C4×C79—41no—
280C2×C4×C79—41no—
281C2×C4×C79—41no—
282C2×C4×C79—41no—
283C2×C4×C79C4×D411yescharacteristic
284C2×C4×C79C4×D411yescharacteristic
285C2×C4×C79C23×C411yescharacteristic
286C2×C4×C79C22×D411yescharacteristic
287C2×C4×C79C2×#4111yescharacteristic
288C2×C4×C79C2×#4111yescharacteristic
289C2×C4×C79C2×#4111yescharacteristic
290C2×C4×C79C2×#4111yescharacteristic
291C2×Dic79—21no—
292C2×Dic79—21no—
293C2×Dic79—21no—
294C2×Dic79—21no—
295C2×Dic79—81no—
296C2×Dic79—81no—
297C8×C79—22no—
298C8×C79—22no—
299C79⋊C8—21no—
300C79⋊C8—21no—
301C79⋊C8—21no—
302C79⋊C8—21no—
303C79⋊C8—21no—
304C79⋊C8—21no—
305C79⋊C8—41no—
306C79⋊C8—41no—
307C79⋊C8#12312yes—
308C79⋊C8#12312yes—
309C22×C79—21no—
310C22×C79—21no—
311C22×C79—21no—
312C22×C79—21no—
313C22×C79—21no—
314C22×C79—21no—
315C22×C79—21no—
316C22×C79—21no—
317C22×C79—41no—
318C22×C79—41no—
319C22×C79—41no—
320C22×C79—81no—
321C22×C79—81no—
322C22×C79C2×C4×D411yescharacteristic
323C22×C79#52911yescharacteristic
324C22×C79#52911yescharacteristic
325C4×C79—21no—
326C4×C79—21no—
327C4×C79—42no—
328C4×C79—41no—
329C4×C79—41no—
330C4×C79—41no—
331C4×C79—81no—
332C4×C79C4×#4111yescharacteristic
333C4×C79C4×#4111yescharacteristic
334C4×C79C2×#12311yescharacteristic
335C4×C79#52511yescharacteristic
336Dic79—41no—
337Dic79—41no—
338Dic79—41no—
339Dic79—41no—
340#21594—791nomaximal, Sylow
341C2×C79—21no—
342C2×C79—21no—
343C2×C79—41no—
344C2×C79—41no—
345C2×C79—81no—
346C2×C79C4×#12311yescharacteristic
347C2×C79#295611yescharacteristic
348C2×C79#295711yescharacteristic
349#3091—791no—
350#2930—791no—
351#2873—791no—
352#1929—791no—
353#1929—791no—
354#1922—791no—
355#1922—791no—
356#1871D7911yescharacteristic
357#1855—791no—
358#1826—791no—
359#1773—791no—
360#1772—791no—
361#1765—791no—
362#1764—791no—
363#1753—791no—
364C79#2159411yescharacteristic, complemented, Sylow
365C2×#131—791no—
366C22×M16—791no—
367C22×M16C2×D7911yescharacteristic
368#525C2×D7911yescharacteristic
369C2×#117—791no—
370#485—791no—
371#485—791no—
372#484—791no—
373#483—791no—
374#482—791no—
375#482—791no—
376#481—791no—
377#480—791no—
378#436—1581no—
379#436—1581no—
380#435—1581no—
381#435—1581no—
382C2×#108—791no—
383C2×#108—791no—
384#427—791no—
385#427—791no—
386#424—791no—
387C2×#104C2×D7911yescharacteristic
388C2×#104C2×D7911yescharacteristic
389#416—791no—
390#416—791no—
391#408—791no—
392#407—791no—
393C2×C22⋊C8—791no—
394#405—791no—
395#405—791no—
396#405—791no—
397#405—791no—
398#405—791no—
399#405—1581no—
400#405—1581no—
401C4×M16—1581no—
402C4×M16—1581no—
403C2×#97—791no—
404C2×C4×C8—791no—
405C4×C22⋊C4C2×D7911yescharacteristic
406#341—791no—
407#341—791no—
408#339—791no—
409#339—791no—
410#339—791no—
411#339—791no—
412#339C2×D7911yescharacteristic
413#339C2×D7911yescharacteristic
414#336—791no—
415#336—791no—
416C2×#41C22×D7911yescharacteristic
417C23×C4C22×D7911yescharacteristic
418#131—1582no—
419#131—1582no—
420C2×M16—21no—
421C2×M16—22no—
422C2×M16—22no—
423C2×M16—791no—
424C2×M16—791no—
425C2×M16—791no—
426C2×M16—791no—
427C2×M16—791no—
428C2×M16—791no—
429C2×M16—1581no—
430C2×M16—1582no—
431C2×M16—1582no—
432C2×M16C22×D7911yescharacteristic
433C2×M16C22×D7911yescharacteristic
434C22×C8—21no—
435C22×C8—791no—
436C22×C8—791no—
437C22×C8—791no—
438C22×C8—791no—
439C22×C8—1581no—
440#123—21no—
441C22⋊Q8C4×D7911yescharacteristic
442C22⋊Q8C4×D7911yescharacteristic
443#121C4×D7911yescharacteristic
444#121C4×D7911yescharacteristic
445#120—21no—
446C4×D4—21no—
447C4×D4—21no—
448#117—791no—
449#117—791no—
450#117—791no—
451#117—791no—
452#117—1581no—
453#117—1581no—
454#117C22×D7911yescharacteristic
455C2×C4⋊C4—791no—
456C2×C4⋊C4—791no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—1581no—
459C2×C42—1581no—
460C2×C42C22×D7911yescharacteristic
461C2×C42C22×D7911yescharacteristic
462#108—1582no—
463#108—1582no—
464#107—791no—
465#107—791no—
466#107—791no—
467#107—791no—
468#106—791no—
469#106—791no—
470#106—791no—
471#106—791no—
472C4⋊C8—1581no—
473C4⋊C8—1581no—
474#104—22no—
475#104—22no—
476#103—791no—
477#103—791no—
478#103—791no—
479#103—791no—
480#102—791no—
481#102—791no—
482#102—791no—
483#102—791no—
484C22⋊C8—791no—
485C22⋊C8—791no—
486C22⋊C8—791no—
487C22⋊C8—791no—
488C22⋊C8—1581no—
489C22⋊C8—1581no—
490C22⋊C8—1581no—
491C22⋊C8—1581no—
492#97—1582no—
493#97—1581no—
494#97—1581no—
495#97—1581no—
496#97—1581no—
497#97—1581no—
498C4×C8—1582no—
499C4×C8—1581no—
500C4×C8—1581no—
501C4×C8—1581no—
502C4×C8—1581no—
503C4×C8—1581no—
504#95—21no—
505C24#1192962311yescharacteristic
506#41—21no—
507#41—21no—
508#41—21no—
509#41—21no—
510C2×Q8C2×C4×D7911yescharacteristic
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4C2×C4×D7911yescharacteristic
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—1581no—
523C22×C4—1581no—
524C22×C4C2×C4×D7911yescharacteristic
525C22×C4C2×C4×D7911yescharacteristic
526C22×C4D4×D7911yescharacteristic
527C22×C4D4×D7911yescharacteristic
528C22×C4#1192962311yescharacteristic
529C22×C4C23×D7911yescharacteristic
530M16—24no—
531M16—21no—
532M16—21no—
533M16—3162no—
534M16—1581no—
535M16—1581no—
536M16—1581no—
537M16—1581no—
538M16—1582no—
539M16—1582no—
540M16—1582no—
541M16—1582no—
542M16#1192962312yes—
543M16#1192962312yes—
544C2×C8—24no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—3162no—
548C2×C8—792no—
549C2×C8—792no—
550C2×C8—791no—
551C2×C8—791no—
552C2×C8—791no—
553C2×C8—791no—
554C2×C8—791no—
555C2×C8—791no—
556C2×C8—791no—
557C2×C8—791no—
558C2×C8—1581no—
559C2×C8—1581no—
560C2×C8—1581no—
561C2×C8—1581no—
562C2×C8—1581no—
563C2×C8—1581no—
564C2×C8—1581no—
565C2×C8—1581no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—791no—
569C4⋊C4—791no—
570C4⋊C4—791no—
571C4⋊C4—791no—
572C4⋊C4—1581no—
573C4⋊C4—1581no—
574C4⋊C4C2×C4×D7911yescharacteristic
575C4⋊C4C2×C4×D7911yescharacteristic
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—42no—
582C22⋊C4—1581no—
583C22⋊C4—1581no—
584C22⋊C4—1581no—
585C22⋊C4—1581no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—1581no—
592C42—1581no—
593C42—1581no—
594C42—1581no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—41no—
600C23(C22⋊D79)⋊C411yescharacteristic
601C23(C22⋊D79)⋊C411yescharacteristic
602C23C2×#1192962311yescharacteristic
603Q8—21no—
604Q8—21no—
605D4—21no—
606D4—21no—
607D4—41no—
608D4—41no—
609D4—81no—
610D4—81no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—6321no—
633C2×C4—6321no—
634C2×C4—1581no—
635C2×C4—1581no—
636C2×C4—1581no—
637C2×C4—1581no—
638C2×C4(C22⋊D79)⋊C411yescharacteristic
639C2×C4(C22⋊D79)⋊C411yescharacteristic
640C2×C4C22×C4×D7911yescharacteristic
641C2×C4C2×D4×D7911yescharacteristic
642C2×C4#41×D7911yescharacteristic
643C2×C4#41×D7911yescharacteristic
644C2×C4C2×#1192962311yescharacteristic
645C2×C4C2×#1192962311yescharacteristic
646C8—22no—
647C8—22no—
648C8—3161no—
649C8—3161no—
650C8—792no—
651C8—792no—
652C8—1581no—
653C8—1581no—
654C8—1581no—
655C8—1581no—
656C8—1581no—
657C8—1581no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—81no—
670C22—81no—
671C22C2×(C22⋊D79)⋊C411yescharacteristic
672C22#1909909411yescharacteristic
673C22#1909909411yescharacteristic
674C4—21no—
675C4—21no—
676C4—42no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—81no—
681C4—3161no—
682C4—3161no—
683C4—3161no—
684C4—3161no—
685C4C4×#1192962311yescharacteristic
686C4C4×#1192962311yescharacteristic
687C4#123×D7911yescharacteristic
688C4#1909906911yescharacteristic
689C2—21no—
690C2—21no—
691C2—41no—
692C2—41no—
693C2—81no—
694C2#2376592511yescharacteristic
695C2#2377230611yescharacteristic
696C2#2377231311yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D79
commutatorC2×C4×C79C23×C4
FrattiniC22×C4C23×D79
FittingC79×#1871C2
socleC22×C79C2×C4×D4
prime radical#525×C79C22
cosocleC22×C4×C79C24
hypercenter#1871D79
hypocenterC79#21594
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ #1871

Complements

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

NH ≅ G/Ntype
3. #23771818C2semidirect
4. #23764051C2semidirect
5. #23764051C2semidirect
6. #23764002C2semidirect
7. #23764002C2semidirect
8. #23763605C2semidirect
9. #23763500C2semidirect
10. #23763283C2semidirect
11. #23763278C2semidirect
12. #23763245C2semidirect
13. #23763238C2semidirect
14. #23763184C2semidirect
19. #19098901C4semidirect
20. #19098901C4semidirect
21. #19098896C4semidirect
22. #19098891C4semidirect
23. #19098884C4semidirect
24. #19098884C4semidirect
25. #19098879C4semidirect
26. #19098874C4semidirect
364. C79#21594semidirect

Maximal subgroups

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

subgroupindex
#237733092
#237721042
#237718182
#237640512
#237640022
#237636052
#237635002
#237632832
#237632782
#237632452
#237632382
#237631842
C79×#18712
#2159479