Finite Group Databasebeta

← #25113902

Subgroups — #25113902

Order 11008.

1010 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582898C211yesmaximal, characteristic
2#19137435C211yesmaximal, characteristic
3#19135291C211yesmaximal, characteristic, complemented
4#19135277C211yesmaximal, characteristic, complemented
5#19135222C211yesmaximal, characteristic, complemented
6#19135215C211yesmaximal, characteristic, complemented
7#19134862C211yesmaximal, characteristic, complemented
8#19134848C211yesmaximal, characteristic, complemented
9#19134685C211yesmaximal, characteristic, complemented
10#19134626C211yesmaximal, characteristic, complemented
11#19134533C211yesmaximal, characteristic
12#19134428C211yesmaximal, characteristic, complemented
13C4×#13063248C211yesmaximal, characteristic, complemented
14#19134379C211yesmaximal, characteristic, complemented
15C43×#2344C211yesmaximal, characteristic, complemented
16C22×#10621898C2211yescharacteristic
17C22×#10621877C2211yescharacteristic
18C2×C4×Dic86C2211yescharacteristic
19C2×C4×Dic86C2211yescharacteristic
20C2×#13063258C2211yescharacteristic
21C2×#13063256C2211yescharacteristic
22#14582898C418yescomplemented
23C2×#13063248C2211yescharacteristic
24C2×#13063248C2211yescharacteristic
25C2×#13063248C2211yescharacteristic
26C2×#13063248C2211yescharacteristic
27C2×#13063245C2211yescharacteristic
28C2×#13063245C2211yescharacteristic
29C2×#13063245C2211yescharacteristic
30C2×#13063245C2211yescharacteristic
31C2×C22⋊(C43⋊C8)C2211yescharacteristic
32C2×#13063236C2211yescharacteristic
33C2×C4×C43⋊C8C2211yescharacteristic
34#14582801C2211yescharacteristic
35#14582801C2211yescharacteristic
36#14582799—21no—
37#14582799—21no—
38#14582759C2211yescharacteristic
39#14582758—21no—
40#14582746—21no—
41#14582661C2211yescharacteristic
42#14582661C2211yescharacteristic
43#14582661C2211yescharacteristic
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582654C2211yescharacteristic
48#14582654C2211yescharacteristic
49C2×#117×C43—21no—
50C22×C4⋊C4×C43C2211yescharacteristic
51C43×#389C2211yescharacteristic
52C43×#389C2211yescharacteristic
53C43×#387—21no—
54C43×#387—21no—
55C43×#381—21no—
56C43×#380C2211yescharacteristic
57C4×C4⋊C4×C43C2211yescharacteristic
58C4×C4⋊C4×C43C2211yescharacteristic
59C4×C22⋊C4×C43C2211yescharacteristic
60C2×#10621898—22no—
61C2×#10621898—22no—
62C2×#10621898—22no—
63C2×#10621898—41no—
64C2×#10621898—41no—
65C2×#10621898C2×C414yes—
66C22×Dic86C2311yescharacteristic
67C22×D172C2311yescharacteristic
68C22×C22⋊D43—21no—
69C22×C4×D43—21no—
70C2×#10621877—41no—
71C2×#10621877—41no—
72C2×#10621877C2×C414yes—
73C22×C43⋊C8C2311yescharacteristic
74C22×C43⋊C8C2311yescharacteristic
75C22×C43⋊C8C2311yescharacteristic
76C22×C43⋊C8C2311yescharacteristic
77C4×Dic86—22no—
78C4×Dic86—22no—
79C4×Dic86—41no—
80C4×Dic86—41no—
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×Dic43⋊C4—21no—
84C2×Dic43⋊C4—21no—
85C2×C22⋊Dic43—21no—
86C2×(C2×D43)⋊C4—21no—
87C2×(C2×D43)⋊C4—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90C2×C4×Dic43—21no—
91C2×C4×Dic43—21no—
92#13063258—41no—
93#13063256—41no—
94#13063248—22no—
95#13063248—22no—
96#13063248C2×C414yes—
97#13063248C2×C414yes—
98#13063245—41no—
99#13063245—41no—
100#13063245C2×C414yes—
101#13063245C2×C414yes—
102C22⋊(C43⋊C8)—22no—
103#13063236—41no—
104C4×C43⋊C8—41no—
105C43⋊#95—21no—
106C23×C4×C43—21no—
107C23×C4×C43C2311yescharacteristic
108#117×C43—44no—
109C2×C4⋊C4×C43—21no—
110C2×C4⋊C4×C43—22no—
111C2×C4⋊C4×C43—21no—
112C2×C4⋊C4×C43—21no—
113C2×C4⋊C4×C43C2×C414yes—
114C2×C4⋊C4×C43C2311yescharacteristic
115C2×C4⋊C4×C43C2311yescharacteristic
116C2×C4⋊C4×C43C2311yescharacteristic
117C2×C4⋊C4×C43C2311yescharacteristic
118C2×C22⋊C4×C43—21no—
119C2×C22⋊C4×C43D411yescharacteristic
120C2×C22⋊C4×C43D411yescharacteristic
121C2×C42×C43—21no—
122C2×C42×C43—21no—
123C2×C42×C43C2311yescharacteristic
124C2×C42×C43C2311yescharacteristic
125#95×C43—21no—
126#95×C43—21no—
127#95×C43—21no—
128#95×C43—21no—
129#95×C43—21no—
130#95×C43D411yescharacteristic
131#95×C43D411yescharacteristic
132C24×C43C2×D411yescharacteristic
133C23×D43—21no—
134C22×C4×C43—21no—
135C22×C4×C43—21no—
136C22×C4×C43—21no—
137C22×C4×C43—21no—
138C22×C4×C43—24no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—42no—
144C22×C4×C43—42no—
145C22×C4×C43C22×C412yes—
146C22×C4×C43C2×D411yescharacteristic
147C22×C4×C43C2×D411yescharacteristic
148C22×C4×C43C2×D411yescharacteristic
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43C2×D411yescharacteristic
151C22×C4×C43#4112yes—
152C22×C4×C43C2411yescharacteristic
153C2×C22⋊D43—24no—
154C2×C22⋊D43—42no—
155C2×C22⋊D43—42no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158C22×Dic43—21no—
159#10621898—28no—
160#10621898—44no—
161#10621898—44no—
162#10621898—44no—
163C2×D172—21no—
164C2×D172—21no—
165C2×D172—21no—
166C2×D172—21no—
167C2×D172—21no—
168C2×D172C22×C412yes—
169C2×C4×D43—24no—
170C2×C4×D43—42no—
171C2×C4×D43—42no—
172C2×Dic86—21no—
173C2×Dic86—21no—
174C2×Dic86—21no—
175C2×Dic86C22×C412yes—
176C2×Dic86#4112yes—
177C2×Dic86#4112yes—
178C4⋊C4×C43—24no—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43—21no—
182C4⋊C4×C43—21no—
183C4⋊C4×C43—21no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—42no—
186C4⋊C4×C43—42no—
187C4⋊C4×C43C22×C412yes—
188C4⋊C4×C43C22×C412yes—
189C22⋊C4×C43—22no—
190C22⋊C4×C43—41no—
191C22⋊C4×C43—42no—
192C42×C43—21no—
193C42×C43—21no—
194C42×C43—21no—
195C42×C43—21no—
196C42×C43—42no—
197C42×C43—42no—
198C22⋊Dic43—81no—
199(C2×D43)⋊C4—42no—
200(C2×D43)⋊C4—42no—
201(C2×D43)⋊C4—81no—
202(C2×D43)⋊C4—81no—
203C4⋊Dic43—21no—
204C4⋊Dic43—21no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207Dic43⋊C4—42no—
208Dic43⋊C4—42no—
209C4×Dic43—42no—
210C4×Dic43—42no—
211#10621877—44no—
212C2×C43⋊C8—21no—
213C2×C43⋊C8—21no—
214C2×C43⋊C8—21no—
215C2×C43⋊C8—21no—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8C22×C412yes—
223C2×C43⋊C8C22×C412yes—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43—21no—
230C23×C43C4×D412yes—
231C23×C43C22×D411yescharacteristic
232C22×D43—22no—
233C22×D43—41no—
234C22×D43—41no—
235C22×D43—41no—
236C22×D43—41no—
237C22×D43—41no—
238C22×D43—41no—
239C2×C4×C43—21no—
240C2×C4×C43—21no—
241C2×C4×C43—21no—
242C2×C4×C43—21no—
243C2×C4×C43—22no—
244C2×C4×C43—22no—
245C2×C4×C43—22no—
246C2×C4×C43—22no—
247C2×C4×C43—22no—
248C2×C4×C43—22no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—21no—
256C2×C4×C43—21no—
257C2×C4×C43—21no—
258C2×C4×C43—48no—
259C2×C4×C43—41no—
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×C43—41no—
269C2×C4×C43C4×D412yes—
270C2×C4×C43AGL(1,ℤ/8)12yes—
271C2×C4×C43C23×C411yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43C2×#4111yescharacteristic
275C2×C4×C43H(5,𝔽2)11yescharacteristic
276C2×C4×C43H(5,𝔽2)11yescharacteristic
277C22⋊D43—48no—
278C2×Dic43—22no—
279C2×Dic43—22no—
280C2×Dic43—22no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286C2×Dic43—41no—
287D172—22no—
288D172—22no—
289D172—41no—
290D172—41no—
291C4×D43—48no—
292Dic86—22no—
293Dic86—22no—
294Dic86—22no—
295Dic86#11714yescomplemented
296C43⋊C8—22no—
297C43⋊C8—22no—
298C43⋊C8—41no—
299C43⋊C8—41no—
300#22583—431nomaximal, Sylow
301C22×C43—22no—
302C22×C43—22no—
303C22×C43—22no—
304C22×C43—41no—
305C22×C43—41no—
306C22×C43—41no—
307C22×C43—41no—
308C22×C43C2×C4×D411yescharacteristic
309C22×C43#54611yescharacteristic
310C22×C43#54611yescharacteristic
311C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
312C22×C43#57511yescharacteristic
313C22×C43#57711yescharacteristic
314C22×C43#57811yescharacteristic
315C2×D43—42no—
316C2×D43—42no—
317C2×D43—42no—
318C2×D43—81no—
319C2×D43—81no—
320C2×D43—81no—
321C2×D43—81no—
322C4×C43—22no—
323C4×C43—22no—
324C4×C43—41no—
325C4×C43—42no—
326C4×C43—42no—
327C4×C43—41no—
328C4×C43—41no—
329C4×C43—81no—
330C4×C43—81no—
331C4×C43C2×#11711yescharacteristic
332C4×C43#51811yescharacteristic
333C4×C43#55111yescharacteristic
334C4×C43#55111yescharacteristic
335Dic43—24no—
336Dic43—81no—
337Dic43—81no—
338C2×#417—431no—
339#2344D4311yescharacteristic, complemented
340#2341—431no—
341#1936—431no—
342#1934—431no—
343#1926—431no—
344#1925—431no—
345#1865—431no—
346#1863—431no—
347#1824—431no—
348#1809—431no—
349#1788—431no—
350#1763—431no—
351C4×#103—431no—
352#1753—431no—
353C2×C43—42no—
354C2×C43#234211yescharacteristic
355C2×C43C4×AGL(1,ℤ/8)11yescharacteristic
356C2×C43#294711yescharacteristic
357C2×C43#330811yescharacteristic
358C2×C43#331711yescharacteristic
359C2×C43#332711yescharacteristic
360C2×C43#333211yescharacteristic
361D43—82no—
362C22×#41—431no—
363C22×M16—431no—
364C2×C4×Q8—431no—
365C2×C4×Q8—431no—
366C2×#117—21no—
367C22×C4⋊C4C2×D4311yescharacteristic
368C2×#107—431no—
369C2×#106—431no—
370#417—438no—
371C2×#103—431no—
372C2×#103—431no—
373C2×#103—431no—
374C2×#103—431no—
375C2×#102—431no—
376C2×#102—431no—
377C2×#102—431no—
378C2×#102—431no—
379C2×C22⋊C8—431no—
380C2×#97—431no—
381C2×C4×C8—431no—
382#390—431no—
383#390—431no—
384#390—861no—
385#390—861no—
386#389C2×D4311yescharacteristic
387#389C2×D4311yescharacteristic
388#387—21no—
389#387—21no—
390#381—21no—
391#380—431no—
392#380—861no—
393#380C2×D4311yescharacteristic
394C4×C4⋊C4C2×D4311yescharacteristic
395C4×C4⋊C4C2×D4311yescharacteristic
396C4×C22⋊C4—861no—
397C4×C22⋊C4C2×D4311yescharacteristic
398#340—431no—
399#340—431no—
400#340—431no—
401#340—431no—
402#340—431no—
403#340—431no—
404#336—431no—
405#336—431no—
406C43#2258311yescharacteristic, complemented, Sylow
407C2×#41—434no—
408C2×#41—862no—
409C2×#41—862no—
410C2×#41—862no—
411C2×#41—1721no—
412C2×#41—1721no—
413C22×Q8—431no—
414C22×D4—431no—
415C22×D4—861no—
416C23×C4—21no—
417C23×C4—861no—
418C23×C4C22×D4311yescharacteristic
419C2×M16—434no—
420C2×M16—1721no—
421C2×M16—1721no—
422C22×C8—431no—
423C22×C8—431no—
424C22×C8—431no—
425C22×C8—431no—
426C4×Q8—862no—
427C4×Q8—862no—
428C4×Q8—1721no—
429C4×Q8—1721no—
430#117—44no—
431C2×C4⋊C4—22no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—431no—
436C2×C4⋊C4—431no—
437C2×C4⋊C4—861no—
438C2×C4⋊C4—861no—
439C2×C4⋊C4C4×D4314yes—
440C2×C4⋊C4C22×D4311yescharacteristic
441C2×C4⋊C4C22×D4311yescharacteristic
442C2×C4⋊C4C22×D4311yescharacteristic
443C2×C4⋊C4C22×D4311yescharacteristic
444C2×C22⋊C4—21no—
445C2×C22⋊C4—861no—
446C2×C22⋊C4—861no—
447C2×C22⋊C4—861no—
448C2×C22⋊C4—861no—
449C2×C22⋊C4—861no—
450C2×C22⋊C4C22⋊D4311yescharacteristic
451C2×C22⋊C4C22⋊D4311yescharacteristic
452C2×C42—21no—
453C2×C42—21no—
454C2×C42—861no—
455C2×C42—861no—
456C2×C42C22×D4311yescharacteristic
457C2×C42C22×D4311yescharacteristic
458#107—1721no—
459#106—1721no—
460#103—434no—
461#103—434no—
462#103—862no—
463#103—862no—
464#102—434no—
465#102—434no—
466#102—1721no—
467#102—1721no—
468C22⋊C8—862no—
469#97—1721no—
470C4×C8—1721no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95—861no—
477#95C22⋊D4311yescharacteristic
478#95C22⋊D4311yescharacteristic
479C24—861no—
480C24C2×C22⋊D4311yescharacteristic
481#41—868no—
482#41—1724no—
483#41—1724no—
484#41—1724no—
485C2×Q8—432no—
486C2×Q8—432no—
487C2×Q8—432no—
488C2×Q8—861no—
489C2×Q8—861no—
490C2×Q8—861no—
491C2×D4—432no—
492C2×D4—864no—
493C2×D4—861no—
494C2×D4—861no—
495C2×D4—861no—
496C2×D4—861no—
497C2×D4—861no—
498C2×D4—1722no—
499C2×D4—1722no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—24no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—861no—
512C22×C4—864no—
513C22×C4—861no—
514C22×C4—861no—
515C22×C4—1722no—
516C22×C4—1722no—
517C22×C4C2×C4×D4312yes—
518C22×C4#1062189812yes—
519C22×C4C2×C22⋊D4311yescharacteristic
520C22×C4C2×C22⋊D4311yescharacteristic
521C22×C4C2×C22⋊D4311yescharacteristic
522C22×C4C2×C22⋊D4311yescharacteristic
523C22×C4C2×C22⋊D4311yescharacteristic
524C22×C4C23×D4311yescharacteristic
525M16—1724no—
526C2×C8—432no—
527C2×C8—432no—
528C2×C8—861no—
529C2×C8—861no—
530C2×C8—861no—
531C2×C8—861no—
532C2×C8—861no—
533C2×C8—861no—
534C2×C8—861no—
535C2×C8—861no—
536C2×C8—861no—
537C2×C8—861no—
538C4⋊C4—24no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—42no—
546C4⋊C4—42no—
547C4⋊C4—861no—
548C4⋊C4—861no—
549C4⋊C4—861no—
550C4⋊C4—861no—
551C4⋊C4—1722no—
552C4⋊C4—1722no—
553C4⋊C4C2×C4×D4312yes—
554C4⋊C4C2×C4×D4312yes—
555C22⋊C4—22no—
556C22⋊C4—41no—
557C22⋊C4—42no—
558C22⋊C4—3441no—
559C22⋊C4—3441no—
560C22⋊C4—3441no—
561C22⋊C4—1722no—
562C22⋊C4—1722no—
563C42—21no—
564C42—21no—
565C42—21no—
566C42—21no—
567C42—42no—
568C42—42no—
569C42—1722no—
570C42—1722no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—862no—
578C23—1721no—
579C23—1721no—
580C23—1721no—
581C23—1721no—
582C23—1721no—
583C23—1721no—
584C23C4×C22⋊D4312yes—
585C23C22×C22⋊D4311yescharacteristic
586Q8—434no—
587Q8—862no—
588Q8—862no—
589Q8—862no—
590D4—862no—
591D4—862no—
592D4—1728no—
593D4—1721no—
594D4—1721no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—48no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—862no—
626C2×C4—862no—
627C2×C4—862no—
628C2×C4—1728no—
629C2×C4—1721no—
630C2×C4—1721no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4—1721no—
634C2×C4—1721no—
635C2×C4C4×C22⋊D4312yes—
636C2×C4#1306335112yes—
637C2×C4C22×C4×D4311yescharacteristic
638C2×C4#41×D4311yescharacteristic
639C2×C4#41×D4311yescharacteristic
640C2×C4C2×#1062189811yescharacteristic
641C2×C4#1306337111yescharacteristic
642C2×C4#1306337111yescharacteristic
643C8—862no—
644C8—862no—
645C8—1721no—
646C8—1721no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—3441no—
655C22—3441no—
656C22—3441no—
657C22—3441no—
658C22—1722no—
659C22—1722no—
660C22—1722no—
661C22C2×C4×C22⋊D4311yescharacteristic
662C22#1458353711yescharacteristic
663C22#1458353711yescharacteristic
664C22C2×#1306335111yescharacteristic
665C22#1458369711yescharacteristic
666C22#1458370711yescharacteristic
667C22#1458371411yescharacteristic
668C4—22no—
669C4—22no—
670C4—41no—
671C4—41no—
672C4—41no—
673C4—42no—
674C4—42no—
675C4—81no—
676C4—81no—
677C4—864no—
678C4—3441no—
679C4—3441no—
680C4#117×D4311yescharacteristic
681C4#1458337311yescharacteristic
682C4#1458357311yescharacteristic
683C4#1458357311yescharacteristic
684C2—42no—
685C2—3442no—
686C2#1913744511yescharacteristic
687C2C4×#1306335111yescharacteristic
688C2#1914343811yescharacteristic
689C2#1914658011yescharacteristic
690C2#1914671511yescharacteristic
691C2#1914685711yescharacteristic
692C2#1914691611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2344C2
socleC23×C43C22×D4
prime radicalC22×#10621898C22
cosocleC22×C4×C43C24
hypercenter#2344D43
hypocenterC43#22583
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2344

Complements

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

NH ≅ G/Ntype
3. #19135291C2semidirect
4. #19135277C2semidirect
5. #19135222C2semidirect
6. #19135215C2semidirect
7. #19134862C2semidirect
8. #19134848C2semidirect
9. #19134685C2semidirect
10. #19134626C2semidirect
12. #19134428C2semidirect
13. C4×#13063248C2semidirect
14. #19134379C2semidirect
15. C43×#2344C2semidirect
22. #14582898C4semidirect
295. Dic86#117semidirect
339. #2344D43semidirect
406. C43#22583semidirect

Maximal subgroups

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

subgroupindex
C2×#145828982
#191374352
#191352912
#191352772
#191352222
#191352152
#191348622
#191348482
#191346852
#191346262
#191345332
#191344282
C4×#130632482
#191343792
C43×#23442
#2258343