Finite Group Databasebeta

← #25123936

Subgroups — #25123936

Order 11008.

1202 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583529C211yesmaximal, characteristic
2C2×#14582906C211yesmaximal, characteristic
3C2×#103×D43C211yesmaximal, characteristic
4#19137178C211yesmaximal, characteristic
5#19135745C211yesmaximal, characteristic, complemented
6#19135744C211yesmaximal, characteristic, complemented
7#19135743C211yesmaximal, characteristic, complemented
8#19135737C211yesmaximal, characteristic, complemented
9#19135736C211yesmaximal, characteristic, complemented
10#19135735C211yesmaximal, characteristic, complemented
11#19135734C211yesmaximal, characteristic, complemented
12#19134313C211yesmaximal, characteristic
13#19134310C211yesmaximal, characteristic
14#19134290C211yesmaximal, characteristic
15C43×#2026C211yesmaximal, characteristic, complemented
16C22×Q8×D43C2211yescharacteristic
17C22×#10621872C2211yescharacteristic
18C22×C8×D43C2211yescharacteristic
19#14583529—24no—
20#14583529—24no—
21C2×#13063325C2211yescharacteristic
22C2×#13063324—21no—
23C2×#13063324C2211yescharacteristic
24C2×#13063316C2211yescharacteristic
25C2×#13063315—21no—
26C2×#13063305—21no—
27C2×#13063303—21no—
28C2×#13063283C2211yescharacteristic
29C2×#13063283C2211yescharacteristic
30C2×#13063282C2211yescharacteristic
31C2×C4⋊C4×D43C2211yescharacteristic
32#14582906—24no—
33C2×#13063250C2211yescharacteristic
34C2×#13063250C2211yescharacteristic
35C2×#13063249C2211yescharacteristic
36C2×#13063249C2211yescharacteristic
37C2×#13063248C2211yescharacteristic
38C2×#13063248C2211yescharacteristic
39#103×D43—24no—
40#14582806C2211yescharacteristic
41#14582805C2211yescharacteristic
42#14582804C2211yescharacteristic
43#14582803—21no—
44#14582803—21no—
45#14582761—21no—
46#14582761—21no—
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582654C2211yescharacteristic
54#14582653C2211yescharacteristic
55#14582653C2211yescharacteristic
56C2×#125×C43C2211yescharacteristic
57C2×#103×C43C2211yescharacteristic
58C2×#103×C43C2211yescharacteristic
59C43×#391C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C43×#336C2211yescharacteristic
63C22×Dic86—21no—
64C22×Dic86—21no—
65C22×Dic86—21no—
66C22×Dic86C2311yescharacteristic
67C2×Q8×D43—22no—
68C2×Q8×D43—22no—
69C2×Q8×D43—22no—
70C2×Q8×D43—22no—
71C2×Q8×D43—22no—
72C2×Q8×D43Q814yescomplemented
73C22×C4×D43—21no—
74C22×C4×D43—21no—
75C22×C4×D43C2311yescharacteristic
76C2×#10621872—22no—
77C2×#10621872—22no—
78C2×#10621872—22no—
79C22×C43⋊C8C2311yescharacteristic
80C22×C43⋊C8C2311yescharacteristic
81C2×C8×D43—22no—
82C2×C8×D43—22no—
83C2×C8×D43—22no—
84#13063325—22no—
85#13063325—22no—
86#13063324—28no—
87#13063324—22no—
88#13063324—22no—
89#13063316—22no—
90#13063316—22no—
91#13063315—28no—
92#13063305—28no—
93#13063303—28no—
94#13063283—22no—
95#13063283—22no—
96#13063283—22no—
97#13063283D414yes—
98#13063282—22no—
99#13063282—22no—
100C2×C4⋊Dic43—21no—
101C2×C4⋊Dic43—21no—
102C2×C4⋊Dic43C2311yescharacteristic
103C2×C4⋊Dic43C2311yescharacteristic
104C2×C4⋊Dic43C2311yescharacteristic
105C2×Dic43⋊C4—21no—
106C2×Dic43⋊C4—21no—
107C2×Dic43⋊C4—21no—
108C2×Dic43⋊C4D411yescharacteristic
109C2×Dic43⋊C4D411yescharacteristic
110C4⋊C4×D43—22no—
111C4⋊C4×D43D414yes—
112C2×(C2×D43)⋊C4—21no—
113C2×(C2×D43)⋊C4—21no—
114C2×(C2×D43)⋊C4D411yescharacteristic
115C2×(C2×D43)⋊C4D411yescharacteristic
116C2×C4×Dic43—21no—
117C2×C4×Dic43—21no—
118C2×C4×Dic43C2311yescharacteristic
119#13063250—22no—
120#13063250—22no—
121#13063249—22no—
122#13063249—22no—
123#13063248—22no—
124#13063248—22no—
125C43⋊#95—21no—
126C43⋊#95—21no—
127C43⋊#95—21no—
128C43⋊#95—21no—
129C43⋊#95—21no—
130C43⋊#95—21no—
131C22×Q8×C43C2311yescharacteristic
132C22×C8×C43C2311yescharacteristic
133C22×C8×C43C2311yescharacteristic
134#125×C43—22no—
135#125×C43—22no—
136C2×C4⋊C4×C43—21no—
137C2×C4⋊C4×C43—21no—
138C2×C4⋊C4×C43C2311yescharacteristic
139C2×C4⋊C4×C43C2311yescharacteristic
140C2×C4⋊C4×C43C2311yescharacteristic
141C2×C42×C43C2311yescharacteristic
142#103×C43—22no—
143#103×C43—22no—
144#95×C43—21no—
145#95×C43—21no—
146C23×D43C2×D411yescharacteristic
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—21no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43C2×Q812yes—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43—21no—
156C22×C4×C43—21no—
157C22×C4×C43C2×D411yescharacteristic
158C22×C4×C43C2×D411yescharacteristic
159C22×C4×C43C2411yescharacteristic
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43C2×D411yescharacteristic
165C22×Dic43C2×D411yescharacteristic
166C22×Dic43C2×D411yescharacteristic
167Q8×D43—28no—
168Q8×D43—28no—
169Q8×D43—44no—
170Q8×D43—44no—
171C2×C4×D43—24no—
172C2×C4×D43—24no—
173C2×C4×D43—42no—
174C2×C4×D43—42no—
175C2×C4×D43—81no—
176C2×C4×D43—81no—
177C2×C4×D43C2×D412yes—
178C2×C4×D43C2×D412yes—
179C2×C4×D43C2×Q812yes—
180C2×C4×D43#4112yes—
181C2×C4×D43#4112yes—
182C2×C4×D43#4112yes—
183C2×Dic86—21no—
184C2×Dic86—21no—
185C2×Dic86—21no—
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—24no—
189C2×Dic86—24no—
190C2×Dic86—24no—
191C2×Dic86—42no—
192C2×Dic86—42no—
193C2×Dic86—81no—
194C2×Dic86—81no—
195C2×Dic86—81no—
196C2×Dic86—81no—
197C2×Dic86C2×Q812yes—
198C2×C8×C43—21no—
199C2×C8×C43—21no—
200C2×C8×C43—21no—
201C2×C8×C43—21no—
202C2×C8×C43—21no—
203C2×C8×C43—21no—
204C4⋊C4×C43—24no—
205C4⋊C4×C43—24no—
206C4⋊C4×C43—21no—
207C4⋊C4×C43—21no—
208C4⋊C4×C43—21no—
209C4⋊C4×C43—21no—
210C4⋊C4×C43C2×D412yes—
211C4⋊C4×C43C2×D412yes—
212C42×C43—21no—
213C42×C43—21no—
214(C2×D43)⋊C4—24no—
215(C2×D43)⋊C4—22no—
216(C2×D43)⋊C4—22no—
217(C2×D43)⋊C4—42no—
218C4⋊Dic43—24no—
219C4⋊Dic43—24no—
220C4⋊Dic43—21no—
221C4⋊Dic43—21no—
222C4⋊Dic43—21no—
223C4⋊Dic43—21no—
224C4⋊Dic43C2×D412yes—
225C4⋊Dic43C2×D412yes—
226Dic43⋊C4—24no—
227Dic43⋊C4—24no—
228Dic43⋊C4—24no—
229Dic43⋊C4—22no—
230Dic43⋊C4—22no—
231C4×Dic43—21no—
232C4×Dic43—21no—
233C4×Dic43—24no—
234C4×Dic43—42no—
235C2×C43⋊C8—21no—
236C2×C43⋊C8—21no—
237C2×C43⋊C8—21no—
238C2×C43⋊C8—21no—
239C2×C43⋊C8—21no—
240C2×C43⋊C8—21no—
241#10621872—44no—
242C8×D43—44no—
243C23×C43C22×D411yescharacteristic
244C22×D43—21no—
245C22×D43—21no—
246C22×D43—21no—
247C22×D43—21no—
248C22×D43#12012yes—
249C22×D43C22⋊Q812yes—
250C22×D43#12412yes—
251Q8×C43—22no—
252Q8×C43—22no—
253Q8×C43—41no—
254Q8×C43—41no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—22no—
260C2×C4×C43—21no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43C22×D411yescharacteristic
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43C22×Q811yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43C2×#4111yescharacteristic
278C2×C4×C43C2×#4111yescharacteristic
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—22no—
282C2×Dic43—22no—
283C2×Dic43—22no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—41no—
289C2×Dic43—41no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43#12012yes—
298C2×Dic43C22⋊Q812yes—
299C2×Dic43#12412yes—
300C4×D43—48no—
301C4×D43—84no—
302C4×D43C22⋊Q814yes—
303C4×D43C22⋊Q814yes—
304C4×D43#12414yes—
305C4×D43#12414yes—
306Dic86—22no—
307Dic86—22no—
308Dic86—41no—
309Dic86—41no—
310Dic86—48no—
311Dic86—84no—
312Dic86—84no—
313C8×C43—41no—
314C8×C43—41no—
315C43⋊C8—41no—
316C43⋊C8—41no—
317#23457—431nomaximal, Sylow
318C22×C43C2×#12011yescharacteristic
319C22×C43C2×C22⋊Q811yescharacteristic
320C22×C43C2×#12411yescharacteristic
321C22×C43#57711yescharacteristic
322C22×C43#57711yescharacteristic
323C22×C43#57811yescharacteristic
324C22×C43#57811yescharacteristic
325C2×D43—22no—
326C2×D43—22no—
327C2×D43—22no—
328C2×D43—22no—
329C2×D43—22no—
330C2×D43—22no—
331C2×D43#39314yes—
332C4×C43—42no—
333C4×C43—41no—
334C4×C43—42no—
335C4×C43—41no—
336C4×C43—42no—
337C4×C43—81no—
338C4×C43C2×C22⋊Q811yescharacteristic
339C4×C43C2×C22⋊Q811yescharacteristic
340C4×C43C2×#12411yescharacteristic
341C4×C43C2×#12411yescharacteristic
342Dic43—42no—
343Dic43—41no—
344Dic43—42no—
345Dic43—42no—
346Dic43—41no—
347Dic43—81no—
348Dic43#39314yes—
349C2×#544—431no—
350C2×#419—431no—
351C22×#103—431no—
352#2310—431no—
353#2026—431no—
354#2026—431no—
355#2026—431no—
356#2026D4311yescharacteristic, complemented
357#2024—431no—
358#2024—431no—
359#2024—431no—
360#2024—431no—
361#1736—431no—
362#1735—431no—
363#1729—431no—
364C2×C43C2×#39311yescharacteristic
365C2×C43#300911yescharacteristic
366C2×C43#301111yescharacteristic
367C2×C43#308211yescharacteristic
368C2×C43#308211yescharacteristic
369C2×C43#313711yescharacteristic
370C2×C43#313711yescharacteristic
371D43—24no—
372C23×Q8—431no—
373C22×M16—431no—
374C23×C8—431no—
375#544—864no—
376#544—864no—
377C2×C4⋊Q8—431no—
378C2×C4⋊Q8—431no—
379C2×C4⋊Q8—861no—
380C2×#125—431no—
381C2×#125—861no—
382C2×#125C2×D4311yescharacteristic
383C2×C22⋊Q8—861no—
384C2×C22⋊Q8—861no—
385C2×#117—431no—
386C2×#117—431no—
387C2×#117—431no—
388C22×C4⋊C4—431no—
389#419—864no—
390C2×#103—431no—
391C2×#103—431no—
392C2×#103—431no—
393C2×#103—431no—
394C2×#103—431no—
395C2×#103—431no—
396C2×#103—864no—
397C2×#103C2×D4311yescharacteristic
398C2×#103C2×D4311yescharacteristic
399#391—431no—
400#391—431no—
401#391—431no—
402#391—861no—
403#391—861no—
404#391C2×D4311yescharacteristic
405#381—861no—
406#381—861no—
407#340—431no—
408#340—431no—
409#340—431no—
410#340—431no—
411#340—431no—
412#340—431no—
413#340C2×D4311yescharacteristic
414#340C2×D4311yescharacteristic
415#336—431no—
416#336—431no—
417#336—431no—
418#336C2×D4311yescharacteristic
419C43#2345711yescharacteristic, complemented, Sylow
420C22×Q8—434no—
421C22×Q8—431no—
422C22×Q8—861no—
423C22×Q8—861no—
424C22×Q8—862no—
425C22×Q8—862no—
426C22×Q8—862no—
427C22×Q8—862no—
428C22×Q8—862no—
429C22×Q8—861no—
430C22×Q8C22×D4311yescharacteristic
431C23×C4—431no—
432C23×C4—861no—
433C23×C4—861no—
434C2×M16—862no—
435C2×M16—862no—
436C2×M16—862no—
437C22×C8—431no—
438C22×C8—431no—
439C22×C8—862no—
440C22×C8—862no—
441C22×C8—862no—
442C22×C8C22×D4311yescharacteristic
443C22×C8C22×D4311yescharacteristic
444C4⋊Q8—862no—
445C4⋊Q8—862no—
446C4⋊Q8—862no—
447C4⋊Q8—868no—
448C4⋊Q8—862no—
449#125—22no—
450#125—22no—
451#125—862no—
452#125—868no—
453#125—862no—
454C22⋊Q8—868no—
455C22⋊Q8—868no—
456#117—434no—
457#117—862no—
458#117—862no—
459#117—862no—
460#117—862no—
461#117—862no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—431no—
465C2×C4⋊C4—431no—
466C2×C4⋊C4—434no—
467C2×C4⋊C4—431no—
468C2×C4⋊C4—431no—
469C2×C4⋊C4—431no—
470C2×C4⋊C4—862no—
471C2×C4⋊C4—861no—
472C2×C4⋊C4—861no—
473C2×C4⋊C4—861no—
474C2×C4⋊C4—861no—
475C2×C4⋊C4—861no—
476C2×C4⋊C4C22×D4311yescharacteristic
477C2×C4⋊C4C22×D4311yescharacteristic
478C2×C4⋊C4C22×D4311yescharacteristic
479C2×C22⋊C4—431no—
480C2×C22⋊C4—431no—
481C2×C22⋊C4—861no—
482C2×C22⋊C4—861no—
483C2×C42—431no—
484C2×C42—861no—
485C2×C42—861no—
486C2×C42C22×D4311yescharacteristic
487#103—22no—
488#103—22no—
489#103—862no—
490#103—862no—
491#103—862no—
492#103—862no—
493#103—862no—
494#103—862no—
495#95—21no—
496#95—21no—
497#95—861no—
498#95—861no—
499#95—861no—
500#95—861no—
501#95—861no—
502#95—861no—
503C24—431no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—432no—
510C2×Q8—864no—
511C2×Q8—864no—
512C2×Q8—864no—
513C2×Q8—868no—
514C2×Q8—868no—
515C2×Q8—861no—
516C2×Q8—861no—
517C2×Q8—861no—
518C2×Q8—861no—
519C2×Q8—861no—
520C2×Q8—3441no—
521C2×Q8—3441no—
522C2×Q8—3441no—
523C2×Q8—3441no—
524C2×Q8—1722no—
525C2×Q8—1722no—
526C2×Q8—1724no—
527C2×Q8—1724no—
528C2×Q8Q8×D4312yes—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—431no—
534C22×C4—432no—
535C22×C4—432no—
536C22×C4—432no—
537C22×C4—432no—
538C22×C4—432no—
539C22×C4—432no—
540C22×C4—431no—
541C22×C4—431no—
542C22×C4—864no—
543C22×C4—864no—
544C22×C4—861no—
545C22×C4—861no—
546C22×C4—861no—
547C22×C4—861no—
548C22×C4—3441no—
549C22×C4—3441no—
550C22×C4—1722no—
551C22×C4—1722no—
552C22×C4D4×D4311yescharacteristic
553C22×C4D4×D4311yescharacteristic
554C22×C4C23×D4311yescharacteristic
555M16—1724no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—861no—
563C2×C8—861no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C2×C8—861no—
568C2×C8—1724no—
569C4⋊C4—24no—
570C4⋊C4—24no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—432no—
576C4⋊C4—432no—
577C4⋊C4—864no—
578C4⋊C4—862no—
579C4⋊C4—862no—
580C4⋊C4—864no—
581C4⋊C4—864no—
582C4⋊C4—864no—
583C4⋊C4—864no—
584C4⋊C4—861no—
585C4⋊C4—861no—
586C4⋊C4—861no—
587C4⋊C4—861no—
588C4⋊C4D4×D4312yes—
589C4⋊C4D4×D4312yes—
590C22⋊C4—862no—
591C22⋊C4—862no—
592C22⋊C4—864no—
593C22⋊C4—1722no—
594C42—21no—
595C42—21no—
596C42—864no—
597C42—861no—
598C42—861no—
599C42—1722no—
600C23—432no—
601C23—432no—
602C23—432no—
603C23—861no—
604C23—861no—
605C23—861no—
606C23—861no—
607C23C2×D4×D4311yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—41no—
611Q8—41no—
612Q8—862no—
613Q8—862no—
614Q8—3444no—
615Q8—3444no—
616Q8—1728no—
617Q8—1721no—
618Q8—1721no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
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—41no—
637C2×C4—432no—
638C2×C4—432no—
639C2×C4—432no—
640C2×C4—434no—
641C2×C4—434no—
642C2×C4—434no—
643C2×C4—434no—
644C2×C4—862no—
645C2×C4—861no—
646C2×C4—861no—
647C2×C4—862no—
648C2×C4—862no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—861no—
652C2×C4—861no—
653C2×C4—3444no—
654C2×C4—1728no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1721no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4C2×D4×D4311yescharacteristic
665C2×C4C2×D4×D4311yescharacteristic
666C2×C4C2×Q8×D4311yescharacteristic
667C2×C4#41×D4311yescharacteristic
668C2×C4#41×D4311yescharacteristic
669C2×C4#41×D4311yescharacteristic
670C8—41no—
671C8—41no—
672C8—1721no—
673C8—1721no—
674C22—434no—
675C22—862no—
676C22—862no—
677C22—862no—
678C22—862no—
679C22—862no—
680C22—862no—
681C22#120×D4311yescharacteristic
682C22C22⋊Q8×D4311yescharacteristic
683C22#124×D4311yescharacteristic
684C22#1458370611yescharacteristic
685C22#1458370811yescharacteristic
686C22#1458371311yescharacteristic
687C22#1458371511yescharacteristic
688C4—42no—
689C4—41no—
690C4—42no—
691C4—41no—
692C4—42no—
693C4—81no—
694C4—434no—
695C4—3441no—
696C4—1722no—
697C4—1721no—
698C4—1722no—
699C4—1722no—
700C4—1721no—
701C4C22⋊Q8×D4311yescharacteristic
702C4C22⋊Q8×D4311yescharacteristic
703C4#124×D4311yescharacteristic
704C4#124×D4311yescharacteristic
705C2—864no—
706C2#393×D4311yescharacteristic
707C2#1914386911yescharacteristic
708C2#1914388711yescharacteristic
709C2#1914443411yescharacteristic
710C2#1914443611yescharacteristic
711C2#1914495911yescharacteristic
712C2#1914496111yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2026C2
socleC23×C43C22×D4
prime radicalC23×D43C2×D4
hypercenter#2026D43
hypocenterC43#23457
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2026

Complements

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

NH ≅ G/Ntype
5. #19135745C2semidirect
6. #19135744C2semidirect
7. #19135743C2semidirect
8. #19135737C2semidirect
9. #19135736C2semidirect
10. #19135735C2semidirect
11. #19135734C2semidirect
15. C43×#2026C2semidirect
72. C2×Q8×D43Q8semidirect
356. #2026D43semidirect
419. C43#23457semidirect

Maximal subgroups

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

subgroupindex
C2×#145835292
C2×#145829062
C2×#103×D432
#191371782
#191357452
#191357442
#191357432
#191357372
#191357362
#191357352
#191357342
#191343132
#191343102
#191342902
C43×#20262
#2345743