Finite Group Databasebeta

← #25110428

Subgroups — #25110428

Order 11008.

938 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
1C2×#14583270C211yesmaximal, characteristic
2#19137319C211yesmaximal, characteristic
3#19137311C211yesmaximal, characteristic, complemented
4#19135417C211yesmaximal, characteristic
5#19135413C211yesmaximal, characteristic, complemented
6#19134953C211yesmaximal, characteristic, complemented
7#19134950C211yesmaximal, characteristic, complemented
8#19134949C211yesmaximal, characteristic, complemented
9#19134931C211yesmaximal, characteristic, complemented
10#19134930C211yesmaximal, characteristic, complemented
11#19134927C211yesmaximal, characteristic, complemented
12#19134926C211yesmaximal, characteristic, complemented
13#19134724C211yesmaximal, characteristic, complemented
14#19134345C211yesmaximal, characteristic, complemented
15C43×#1880C211yesmaximal, characteristic, complemented
16C22×#10621873C2211yescharacteristic
17C22×#10621883C2211yescharacteristic
18C22×#10621884C2211yescharacteristic
19C2×#13063323C2211yescharacteristic
20C2×#13063321C2211yescharacteristic
21C2×C4×Dic86C2211yescharacteristic
22C2×D4×Dic43C2211yescharacteristic
23C2×#13063287C2211yescharacteristic
24#14583270C418yescomplemented
25C2×#13063250C2211yescharacteristic
26C2×#13063249C2211yescharacteristic
27C2×#13063248C2211yescharacteristic
28C2×#13063247C2211yescharacteristic
29C2×#13063246C2211yescharacteristic
30C2×#13063245C2211yescharacteristic
31C2×#13063235C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33#14582806C2211yescharacteristic
34#14582804C2211yescharacteristic
35#14582801C2211yescharacteristic
36#14582783—21no—
37#14582783—21no—
38#14582780—21no—
39#14582780—21no—
40#14582776—21no—
41#14582776—21no—
42#14582775—21no—
43#14582775—21no—
44#14582764C2211yescharacteristic
45#14582764C2211yescharacteristic
46#14582745C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582654C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C22×SD16×C43C2211yescharacteristic
54C2×C4×Q8×C43C2211yescharacteristic
55C2×#103×C43C2211yescharacteristic
56C2×#102×C43C2211yescharacteristic
57C43×#390C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C43×#336C2211yescharacteristic
60C22×Dic86C2311yescharacteristic
61C22×D172C2311yescharacteristic
62C22×C22⋊D43—21no—
63C22×C22⋊D43—21no—
64C23×Dic43—21no—
65C22×C4×D43—21no—
66C2×#10621873—41no—
67C2×#10621873—41no—
68C2×#10621873C2×C414yescomplemented
69C2×#10621883—41no—
70C2×#10621883—41no—
71C2×#10621883C2×C414yescomplemented
72C2×#10621884—41no—
73C2×#10621884—41no—
74C2×#10621884C2×C414yescomplemented
75C22×C43⋊C8C2311yescharacteristic
76C22×C43⋊C8C2311yescharacteristic
77#13063323—22no—
78#13063323C2×C414yescomplemented
79#13063321—22no—
80#13063321C2×C414yes—
81C4×Dic86—41no—
82C4×Dic86—41no—
83D4×Dic43—41no—
84D4×Dic43—41no—
85#13063287—41no—
86#13063287—41no—
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C4⋊Dic43C2311yescharacteristic
89C2×Dic43⋊C4—21no—
90C2×Dic43⋊C4—21no—
91C2×Dic43⋊C4—21no—
92C2×C22⋊Dic43—21no—
93C2×(C2×D43)⋊C4—21no—
94C2×(C2×D43)⋊C4—21no—
95C2×(C2×D43)⋊C4—21no—
96C2×C4×Dic43—21no—
97C2×C4×Dic43C2311yescharacteristic
98C2×C4×Dic43C2311yescharacteristic
99#13063250—41no—
100#13063249—41no—
101#13063248—41no—
102#13063247—41no—
103#13063246—41no—
104#13063245—41no—
105#13063235—22no—
106C8×Dic43C2×C414yescomplemented
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95D411yescharacteristic
116C43⋊#95D411yescharacteristic
117C43⋊#95D411yescharacteristic
118C43⋊#95D411yescharacteristic
119C22×Q8×C43C2311yescharacteristic
120C22×D4×C43C2311yescharacteristic
121C2×SD16×C43—41no—
122C2×SD16×C43—41no—
123C2×SD16×C43C2×C414yescomplemented
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C4×Q8×C43—41no—
127C4×Q8×C43—41no—
128C2×C4⋊C4×C43—21no—
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132C2×C22⋊C4×C43—21no—
133C2×C42×C43—21no—
134C2×C42×C43C2311yescharacteristic
135#103×C43—41no—
136#102×C43—41no—
137C24×C43—21no—
138C23×D43—21no—
139C2×Q8×C43—21no—
140C2×Q8×C43—21no—
141C2×Q8×C43—21no—
142C2×Q8×C43—21no—
143C2×Q8×C43—21no—
144C2×Q8×C43C22×C412yes—
145C2×D4×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—21no—
149C2×D4×C43—21no—
150C2×D4×C43C22×C412yes—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43C2411yescharacteristic
157C2×C22⋊D43—24no—
158C2×C22⋊D43—24no—
159C2×C22⋊D43—81no—
160C2×C22⋊D43—81no—
161C2×C22⋊D43—81no—
162C2×C22⋊D43—81no—
163C22×Dic43—21no—
164C22×Dic43—21no—
165C22×Dic43—21no—
166C22×Dic43—42no—
167C22×Dic43—81no—
168C22×Dic43—81no—
169C22×Dic43C2×D411yescharacteristic
170C22×Dic43C2×D411yescharacteristic
171C22×Dic43C2×D411yescharacteristic
172C22×Dic43C2×D411yescharacteristic
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—21no—
176C2×D172—21no—
177C2×D172—21no—
178C2×D172C22×C412yes—
179C2×C4×D43—42no—
180C2×C4×D43—81no—
181C2×C4×D43—81no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86C22×C412yes—
188SD16×C43—44no—
189C2×C8×C43—21no—
190C2×C8×C43—21no—
191C2×C8×C43—21no—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43C22×C412yes—
195C4⋊C4×C43—21no—
196C4⋊C4×C43—21no—
197C4⋊C4×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—42no—
200C22⋊C4×C43—81no—
201C22⋊C4×C43—81no—
202C42×C43—21no—
203C42×C43—21no—
204C42×C43—42no—
205C22⋊Dic43—42no—
206#10621884—44no—
207#10621883—44no—
208(C2×D43)⋊C4—42no—
209(C2×D43)⋊C4—81no—
210(C2×D43)⋊C4—81no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215Dic43⋊C4—24no—
216Dic43⋊C4—24no—
217Dic43⋊C4—42no—
218C4×Dic43—21no—
219C4×Dic43—21no—
220C4×Dic43—42no—
221C4×Dic43C22×C412yes—
222C4×Dic43#4112yes—
223C2×C43⋊C8—21no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—21no—
226C2×C43⋊C8—21no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8C22×C412yes—
229#10621873—44no—
230C23×C43—22no—
231C23×C43—41no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—41no—
235C23×C43—41no—
236C23×C43—41no—
237C23×C43C22×D411yescharacteristic
238C22×D43—22no—
239C22×D43—41no—
240C22×D43—41no—
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245Q8×C43—22no—
246Q8×C43—22no—
247Q8×C43—41no—
248Q8×C43—41no—
249D4×C43—22no—
250D4×C43—22no—
251D4×C43—41no—
252D4×C43—41no—
253C2×C4×C43—22no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43C23×C411yescharacteristic
269C2×C4×C43C2×#4111yescharacteristic
270C2×C4×C43H(5,𝔽2)11yescharacteristic
271C2×C4×C43H(5,𝔽2)11yescharacteristic
272C2×C4×C43H(5,𝔽2)11yescharacteristic
273C2×C4×C43H(5,𝔽2)11yescharacteristic
274C22⋊D43—84no—
275C22⋊D43—84no—
276C2×Dic43—21no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—22no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—41no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—84no—
296C2×Dic43C4×D412yes—
297C2×Dic43C4×D412yes—
298D172—22no—
299D172—22no—
300D172—41no—
301D172—41no—
302C4×D43—84no—
303Dic86—22no—
304Dic86—22no—
305Dic86—41no—
306Dic86—41no—
307C8×C43—22no—
308C8×C43—41no—
309C43⋊C8—22no—
310C43⋊C8—41no—
311#22275—431nomaximal, Sylow
312C22×C43—42no—
313C22×C43—42no—
314C22×C43—42no—
315C22×C43—81no—
316C22×C43—81no—
317C22×C43—81no—
318C22×C43—81no—
319C22×C43C2×C4×D411yescharacteristic
320C22×C43#53511yescharacteristic
321C22×C43#53511yescharacteristic
322C22×C43#57711yescharacteristic
323C22×C43#57711yescharacteristic
324C22×C43#57711yescharacteristic
325C22×C43#57711yescharacteristic
326C2×D43—42no—
327C2×D43—42no—
328C2×D43—42no—
329C2×D43—81no—
330C2×D43—81no—
331C2×D43—81no—
332C2×D43—81no—
333C4×C43—42no—
334C4×C43—41no—
335C4×C43—41no—
336C4×C43—81no—
337C4×C43—81no—
338C4×C43#51811yescharacteristic
339C4×C43#51811yescharacteristic
340C4×C43#54011yescharacteristic
341C4×C43#54011yescharacteristic
342Dic43—22no—
343Dic43—22no—
344Dic43—42no—
345Dic43—41no—
346Dic43—41no—
347Dic43—81no—
348Dic43—81no—
349C2×#492—431no—
350#2328—431no—
351#2327—431no—
352#1961—431no—
353#1960—431no—
354#1880—431no—
355#1880—431no—
356#1880—431no—
357#1880D4311yescharacteristic, complemented
358#1877—431no—
359#1877—431no—
360#1877—431no—
361#1877—431no—
362#1835—431no—
363#1746—431no—
364C2×C43—82no—
365C2×C43#232811yescharacteristic
366C2×C43#294911yescharacteristic
367C2×C43#294911yescharacteristic
368C2×C43#322111yescharacteristic
369C2×C43#322111yescharacteristic
370C2×C43#322211yescharacteristic
371C2×C43#322211yescharacteristic
372D43—82no—
373C22×SD16—431no—
374C22×SD16—431no—
375C22×SD16—431no—
376C22×SD16C2×D4311yescharacteristic
377C2×C4⋊Q8—431no—
378C2×#127—431no—
379C2×C4×Q8—431no—
380C2×C4×Q8C2×D4311yescharacteristic
381C2×C4×D4—431no—
382C2×C4×D4—431no—
383#492—438no—
384C2×#103—431no—
385C2×#103—431no—
386C2×#103—431no—
387C2×#103C2×D4311yescharacteristic
388C2×#102—431no—
389C2×#102—431no—
390C2×#102—431no—
391C2×#102C2×D4311yescharacteristic
392C2×#97—431no—
393C2×C4×C8—431no—
394#391—431no—
395#391—431no—
396#390—431no—
397#390C2×D4311yescharacteristic
398#387—861no—
399#387—861no—
400#387—861no—
401#387—861no—
402#386—861no—
403#386—861no—
404#386—861no—
405#386—861no—
406#382—431no—
407#382—431no—
408#376—431no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340C2×D4311yescharacteristic
413#336—431no—
414#336—431no—
415#336—431no—
416#336C2×D4311yescharacteristic
417C43#2227511yescharacteristic, complemented, Sylow
418C22×Q8—431no—
419C22×Q8C22×D4311yescharacteristic
420C22×D4—431no—
421C22×D4—861no—
422C22×D4—861no—
423C22×D4C22×D4311yescharacteristic
424C23×C4—861no—
425C23×C4—861no—
426C2×SD16—41no—
427C2×SD16—41no—
428C2×SD16—434no—
429C2×SD16—434no—
430C2×SD16—434no—
431C2×SD16—1721no—
432C2×SD16—1721no—
433C2×SD16—1721no—
434C2×SD16—1721no—
435C2×SD16—1721no—
436C2×SD16—1721no—
437C2×SD16C4×D4314yescomplemented
438C22×C8—431no—
439C22×C8—431no—
440C22×C8C22×D4311yescharacteristic
441C22×C8C22×D4311yescharacteristic
442C4⋊Q8—434no—
443C4⋊Q8—862no—
444#127—434no—
445#127—862no—
446C4×Q8—41no—
447C4×Q8—41no—
448C4×Q8—1721no—
449C4×Q8—1721no—
450C4×D4—1721no—
451C4×D4—1721no—
452C4×D4—1721no—
453C4×D4—1721no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4—861no—
459C2×C4⋊C4—861no—
460C2×C4⋊C4C22×D4311yescharacteristic
461C2×C4⋊C4C22×D4311yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—861no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C42—21no—
469C2×C42—431no—
470C2×C42—431no—
471C2×C42—861no—
472C2×C42C22×D4311yescharacteristic
473#103—41no—
474#103—1721no—
475#103—1721no—
476#103—1721no—
477#102—41no—
478#102—1721no—
479#102—1721no—
480#102—1721no—
481#97—862no—
482C4×C8—434no—
483#95—431no—
484#95—431no—
485#95—431no—
486#95—431no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492#95—861no—
493#95—861no—
494#95—861no—
495C24—21no—
496C24—861no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—432no—
503C2×Q8—861no—
504C2×Q8—861no—
505C2×Q8—861no—
506C2×Q8—861no—
507C2×Q8—861no—
508C2×Q8C2×C4×D4312yes—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—432no—
515C2×D4—864no—
516C2×D4—864no—
517C2×D4—861no—
518C2×D4—861no—
519C2×D4—861no—
520C2×D4—861no—
521C2×D4—861no—
522C2×D4—3441no—
523C2×D4—3441no—
524C2×D4—3441no—
525C2×D4—3441no—
526C2×D4C2×C4×D4312yes—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—431no—
531C22×C4—431no—
532C22×C4—431no—
533C22×C4—431no—
534C22×C4—861no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—3441no—
538C22×C4—3441no—
539C22×C4—3441no—
540C22×C4—3441no—
541C22×C4—1722no—
542C22×C4—1722no—
543C22×C4D4×D4311yescharacteristic
544C22×C4D4×D4311yescharacteristic
545C22×C4C23×D4311yescharacteristic
546SD16—44no—
547SD16—1724no—
548SD16—1724no—
549SD16—1724no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—432no—
556C2×C8—861no—
557C2×C8—861no—
558C2×C8—861no—
559C2×C8—861no—
560C2×C8—861no—
561C2×C8C2×C4×D4312yes—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—42no—
567C4⋊C4—864no—
568C4⋊C4—864no—
569C4⋊C4—861no—
570C4⋊C4—861no—
571C4⋊C4—861no—
572C4⋊C4—861no—
573C4⋊C4—1722no—
574C22⋊C4—81no—
575C22⋊C4—81no—
576C22⋊C4—3441no—
577C22⋊C4—3441no—
578C22⋊C4—1722no—
579C22⋊C4—1722no—
580C42—21no—
581C42—21no—
582C42—42no—
583C42—432no—
584C42—432no—
585C42—861no—
586C42—861no—
587C42—1722no—
588C23—22no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—862no—
596C23—1721no—
597C23—1721no—
598C23—1721no—
599C23—1721no—
600C23—1721no—
601C23—1721no—
602C23C2×D4×D4311yescharacteristic
603Q8—22no—
604Q8—22no—
605Q8—41no—
606Q8—41no—
607Q8—862no—
608Q8—862no—
609Q8—1721no—
610Q8—1721no—
611D4—22no—
612D4—22no—
613D4—41no—
614D4—41no—
615D4—862no—
616D4—862no—
617D4—3444no—
618D4—3444no—
619D4—1721no—
620D4—1721no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—432no—
637C2×C4—432no—
638C2×C4—861no—
639C2×C4—861no—
640C2×C4—861no—
641C2×C4—861no—
642C2×C4—862no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—861no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—3444no—
650C2×C4—3444no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4C22×C4×D4311yescharacteristic
660C2×C4#41×D4311yescharacteristic
661C2×C4#1306337011yescharacteristic
662C2×C4#1306337011yescharacteristic
663C2×C4#1306337011yescharacteristic
664C2×C4#1306337111yescharacteristic
665C8—22no—
666C8—41no—
667C8—862no—
668C8—1721no—
669C22—42no—
670C22—42no—
671C22—42no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22—81no—
676C22—3441no—
677C22—3441no—
678C22—3441no—
679C22—3441no—
680C22—1722no—
681C22—1722no—
682C22—1722no—
683C22C4×D4×D4311yescharacteristic
684C22#1458346411yescharacteristic
685C22#1458346511yescharacteristic
686C22#1458370511yescharacteristic
687C22#1458370611yescharacteristic
688C22#1458370811yescharacteristic
689C22#1458370911yescharacteristic
690C4—42no—
691C4—41no—
692C4—41no—
693C4—81no—
694C4—81no—
695C4—862no—
696C4—862no—
697C4—3441no—
698C4—3441no—
699C4—1722no—
700C4—1721no—
701C4—1721no—
702C4#1458337111yescharacteristic
703C4#1458337211yescharacteristic
704C4#1458349911yescharacteristic
705C4#1458350111yescharacteristic
706C2—82no—
707C2—3442no—
708C2#1913731611yescharacteristic
709C2#1914344911yescharacteristic
710C2#1914345111yescharacteristic
711C2#1914565211yescharacteristic
712C2#1914565411yescharacteristic
713C2#1914566411yescharacteristic
714C2#1914566611yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1880C2
socleC23×C43C22×D4
prime radicalC2×#13063321C22
cosocleC22×C4×C43C24
hypercenter#1880D43
hypocenterC43#22275
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1880

Complements

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

NH ≅ G/Ntype
3. #19137311C2semidirect
5. #19135413C2semidirect
6. #19134953C2semidirect
7. #19134950C2semidirect
8. #19134949C2semidirect
9. #19134931C2semidirect
10. #19134930C2semidirect
11. #19134927C2semidirect
12. #19134926C2semidirect
13. #19134724C2semidirect
14. #19134345C2semidirect
15. C43×#1880C2semidirect
24. #14583270C4semidirect
68. C2×#10621873C2×C4semidirect
71. C2×#10621883C2×C4semidirect
74. C2×#10621884C2×C4semidirect
78. #13063323C2×C4semidirect
106. C8×Dic43C2×C4semidirect
123. C2×SD16×C43C2×C4semidirect
357. #1880D43semidirect
417. C43#22275semidirect
437. C2×SD16C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145832702
#191373192
#191373112
#191354172
#191354132
#191349532
#191349502
#191349492
#191349312
#191349302
#191349272
#191349262
#191347242
#191343452
C43×#18802
#2227543