Finite Group Databasebeta

← #25113827

Subgroups — #25113827

Order 11008.

1010 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582898C211yesmaximal, characteristic
2#19137426C211yesmaximal, characteristic
3#19135284C211yesmaximal, characteristic, complemented
4#19135270C211yesmaximal, characteristic, complemented
5#19135236C211yesmaximal, characteristic, complemented
6#19135229C211yesmaximal, characteristic, complemented
7#19134855C211yesmaximal, characteristic, complemented
8#19134841C211yesmaximal, characteristic, complemented
9#19134681C211yesmaximal, characteristic, complemented
10#19134626C211yesmaximal, characteristic, complemented
11#19134533C211yesmaximal, characteristic
12#19134423C211yesmaximal, characteristic, complemented
13C4×#13063245C211yesmaximal, characteristic, complemented
14#19134379C211yesmaximal, characteristic, complemented
15C43×#2345C211yesmaximal, characteristic, complemented
16C22×#10621898C2211yescharacteristic
17C22×#10621877C2211yescharacteristic
18C2×C4×D172C2211yescharacteristic
19C2×C4×D172C2211yescharacteristic
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#14582805C2211yescharacteristic
35#14582805C2211yescharacteristic
36#14582775—21no—
37#14582775—21no—
38#14582761—21no—
39#14582759C2211yescharacteristic
40#95×D43—21no—
41#14582661C2211yescharacteristic
42#14582661C2211yescharacteristic
43#14582661C2211yescharacteristic
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582654C2211yescharacteristic
48#14582654C2211yescharacteristic
49C22×C4⋊C4×C43C2211yescharacteristic
50C43×#389C2211yescharacteristic
51C43×#389C2211yescharacteristic
52C43×#387—21no—
53C43×#387—21no—
54C43×#380—21no—
55C43×#380C2211yescharacteristic
56C4×C4⋊C4×C43C2211yescharacteristic
57C4×C4⋊C4×C43C2211yescharacteristic
58C4×C22⋊C4×C43—21no—
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—
70C22×C4×D43—21no—
71C22×C4×D43—21no—
72C2×#10621877—41no—
73C2×#10621877—41no—
74C2×#10621877C2×C414yescomplemented
75C22×C43⋊C8C2311yescharacteristic
76C22×C43⋊C8C2311yescharacteristic
77C22×C43⋊C8C2311yescharacteristic
78C22×C43⋊C8C2311yescharacteristic
79C4×D172—22no—
80C4×D172—22no—
81C4×D172—41no—
82C4×D172—41no—
83C2×C4⋊Dic43C2311yescharacteristic
84C2×C4⋊Dic43C2311yescharacteristic
85C2×C22⋊Dic43—21no—
86C2×(C2×D43)⋊C4—21no—
87C2×(C2×D43)⋊C4—21no—
88#13063258—41no—
89#13063256—41no—
90#13063248—41no—
91#13063248—41no—
92#13063248C2×C414yescomplemented
93#13063248C2×C414yescomplemented
94#13063245—22no—
95#13063245—22no—
96#13063245C2×C414yes—
97#13063245C2×C414yes—
98C22⋊(C43⋊C8)—22no—
99#13063236—41no—
100C4×C43⋊C8—41no—
101C43⋊#95—21no—
102C43⋊#95—21no—
103C43⋊#95—21no—
104C43⋊#95—21no—
105C43⋊#95—21no—
106C23×C4×C43—21no—
107C23×C4×C43C2311yescharacteristic
108C2×C4⋊C4×C43—21no—
109C2×C4⋊C4×C43—22no—
110C2×C4⋊C4×C43—21no—
111C2×C4⋊C4×C43—21no—
112C2×C4⋊C4×C43C2×C414yescomplemented
113C2×C4⋊C4×C43C2311yescharacteristic
114C2×C4⋊C4×C43C2311yescharacteristic
115C2×C4⋊C4×C43C2311yescharacteristic
116C2×C4⋊C4×C43C2311yescharacteristic
117C2×C22⋊C4×C43—21no—
118C2×C22⋊C4×C43D411yescharacteristic
119C2×C22⋊C4×C43D411yescharacteristic
120C2×C42×C43—21no—
121C2×C42×C43—21no—
122C2×C42×C43C2311yescharacteristic
123C2×C42×C43C2311yescharacteristic
124#95×C43—21no—
125#95×C43—21no—
126#95×C43—21no—
127#95×C43—21no—
128#95×C43—21no—
129#95×C43D411yescharacteristic
130#95×C43D411yescharacteristic
131C24×C43C2×D411yescharacteristic
132C23×D43—21no—
133C22×C4×C43—21no—
134C22×C4×C43—21no—
135C22×C4×C43—21no—
136C22×C4×C43—21no—
137C22×C4×C43—24no—
138C22×C4×C43—21no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—81no—
143C22×C4×C43—81no—
144C22×C4×C43C22×C412yes—
145C22×C4×C43C2×D411yescharacteristic
146C22×C4×C43C2×D411yescharacteristic
147C22×C4×C43C2×D411yescharacteristic
148C22×C4×C43C2×D411yescharacteristic
149C22×C4×C43C2×D411yescharacteristic
150C22×C4×C43#4112yes—
151C22×C4×C43C2411yescharacteristic
152C2×C22⋊D43—24no—
153C2×C22⋊D43—42no—
154C2×C22⋊D43—42no—
155C22×Dic43—21no—
156C22×Dic43—21no—
157C22×Dic43—21no—
158#10621898—28no—
159#10621898—44no—
160#10621898—44no—
161#10621898—44no—
162C2×D172—21no—
163C2×D172—21no—
164C2×D172—21no—
165C2×D172C22×C412yes—
166C2×D172#4112yes—
167C2×D172#4112yes—
168C2×C4×D43—24no—
169C2×C4×D43—42no—
170C2×C4×D43—42no—
171C2×C4×D43—42no—
172C2×C4×D43—42no—
173C2×C4×D43—42no—
174C2×C4×D43—42no—
175C2×C4×D43—81no—
176C2×C4×D43—81no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—21no—
182C2×Dic86C22×C412yes—
183C4⋊C4×C43—24no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—21no—
187C4⋊C4×C43—21no—
188C4⋊C4×C43—21no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43—81no—
191C4⋊C4×C43—81no—
192C4⋊C4×C43C22×C412yes—
193C4⋊C4×C43C22×C412yes—
194C22⋊C4×C43—22no—
195C22⋊C4×C43—41no—
196C22⋊C4×C43—42no—
197C42×C43—21no—
198C42×C43—21no—
199C42×C43—21no—
200C42×C43—21no—
201C42×C43—81no—
202C42×C43—81no—
203C22⋊Dic43—81no—
204(C2×D43)⋊C4—42no—
205(C2×D43)⋊C4—42no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210#10621877—44no—
211C2×C43⋊C8—21no—
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⋊C8C22×C412yes—
222C2×C43⋊C8C22×C412yes—
223C23×C43—21no—
224C23×C43—21no—
225C23×C43—21no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43C4×D412yes—
230C23×C43C22×D411yescharacteristic
231C22×D43—22no—
232C22×D43—22no—
233C22×D43—22no—
234C22×D43—41no—
235C22×D43—41no—
236C22×D43—41no—
237C22×D43—41no—
238C2×C4×C43—21no—
239C2×C4×C43—21no—
240C2×C4×C43—21no—
241C2×C4×C43—21no—
242C2×C4×C43—22no—
243C2×C4×C43—22no—
244C2×C4×C43—22no—
245C2×C4×C43—22no—
246C2×C4×C43—22no—
247C2×C4×C43—22no—
248C2×C4×C43—21no—
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—41no—
258C2×C4×C43—41no—
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—84no—
268C2×C4×C43C4×D412yes—
269C2×C4×C43#13712yes—
270C2×C4×C43C23×C411yescharacteristic
271C2×C4×C43C2×#4111yescharacteristic
272C2×C4×C43C2×#4111yescharacteristic
273C2×C4×C43C2×#4111yescharacteristic
274C2×C4×C43H(5,𝔽2)11yescharacteristic
275C2×C4×C43H(5,𝔽2)11yescharacteristic
276C22⋊D43—48no—
277C2×Dic43—22no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—41no—
283C2×Dic43—41no—
284C2×Dic43—41no—
285C2×Dic43—41no—
286D172—22no—
287D172—22no—
288D172—22no—
289D172#11714yes—
290C4×D43—48no—
291C4×D43—84no—
292C4×D43—84no—
293Dic86—22no—
294Dic86—22no—
295Dic86—41no—
296Dic86—41no—
297C43⋊C8—22no—
298C43⋊C8—22no—
299C43⋊C8—41no—
300C43⋊C8—41no—
301#22578—431nomaximal, Sylow
302C22×C43—22no—
303C22×C43—22no—
304C22×C43—22no—
305C22×C43—41no—
306C22×C43—41no—
307C22×C43—41no—
308C22×C43—41no—
309C22×C43C2×C4×D411yescharacteristic
310C22×C43#54611yescharacteristic
311C22×C43#54611yescharacteristic
312C22×C43C2×#13711yescharacteristic
313C22×C43#57511yescharacteristic
314C22×C43#57611yescharacteristic
315C22×C43#57711yescharacteristic
316C2×D43—24no—
317C2×D43—42no—
318C2×D43—42no—
319C2×D43—42no—
320C2×D43—42no—
321C2×D43—42no—
322C2×D43—42no—
323C4×C43—22no—
324C4×C43—22no—
325C4×C43—41no—
326C4×C43—42no—
327C4×C43—42no—
328C4×C43—41no—
329C4×C43—41no—
330C4×C43—81no—
331C4×C43—81no—
332C4×C43C2×#11711yescharacteristic
333C4×C43#51811yescharacteristic
334C4×C43#55111yescharacteristic
335C4×C43#55111yescharacteristic
336Dic43—42no—
337Dic43—81no—
338Dic43—81no—
339C2×#417—431no—
340#2345D4311yescharacteristic, complemented
341#2339—431no—
342#1935—431no—
343#1933—431no—
344#1928—431no—
345#1927—431no—
346#1864—431no—
347#1862—431no—
348#1823—431no—
349#1809—431no—
350#1788—431no—
351#1762—431no—
352C4×#102—431no—
353#1753—431no—
354C2×C43—42no—
355C2×C43#234211yescharacteristic
356C2×C43C4×#13711yescharacteristic
357C2×C43#294611yescharacteristic
358C2×C43#330711yescharacteristic
359C2×C43#331411yescharacteristic
360C2×C43#332211yescharacteristic
361C2×C43#333111yescharacteristic
362D43—44no—
363C22×#41—431no—
364C22×M16—431no—
365C2×C4×D4—431no—
366C2×C4×D4—431no—
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#391—431no—
383#391—431no—
384#389C2×D4311yescharacteristic
385#389C2×D4311yescharacteristic
386#387—21no—
387#387—21no—
388#386—861no—
389#386—861no—
390#381—861no—
391#380—21no—
392#380—431no—
393#380C2×D4311yescharacteristic
394C4×C4⋊C4C2×D4311yescharacteristic
395C4×C4⋊C4C2×D4311yescharacteristic
396C4×C22⋊C4—21no—
397C4×C22⋊C4C2×D4311yescharacteristic
398C2×#95—861no—
399#340—431no—
400#340—431no—
401#340—431no—
402#340—431no—
403#340—431no—
404#340—431no—
405#336—431no—
406#336—431no—
407C43#2257811yescharacteristic, complemented, Sylow
408C2×#41—434no—
409C2×#41—862no—
410C2×#41—862no—
411C2×#41—862no—
412C2×#41—1721no—
413C2×#41—1721no—
414C22×Q8—431no—
415C22×D4—431no—
416C22×D4—861no—
417C23×C4—21no—
418C23×C4—861no—
419C23×C4—861no—
420C23×C4—861no—
421C23×C4C22×D4311yescharacteristic
422C2×M16—434no—
423C2×M16—1721no—
424C2×M16—1721no—
425C22×C8—431no—
426C22×C8—431no—
427C22×C8—431no—
428C22×C8—431no—
429C4×D4—862no—
430C4×D4—862no—
431C4×D4—1721no—
432C4×D4—1721no—
433C2×C4⋊C4—22no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—431no—
438C2×C4⋊C4—431no—
439C2×C4⋊C4C4×D4314yescomplemented
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⋊C4C22⋊D4311yescharacteristic
449C2×C22⋊C4C22⋊D4311yescharacteristic
450C2×C42—21no—
451C2×C42—21no—
452C2×C42C22×D4311yescharacteristic
453C2×C42C22×D4311yescharacteristic
454#107—1721no—
455#106—1721no—
456#103—434no—
457#103—434no—
458#103—1721no—
459#103—1721no—
460#102—434no—
461#102—434no—
462#102—862no—
463#102—862no—
464C22⋊C8—862no—
465#97—1721no—
466C4×C8—1721no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—861no—
473#95—861no—
474#95—861no—
475#95—861no—
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—861no—
487C2×Q8—861no—
488C2×Q8—861no—
489C2×Q8—861no—
490C2×Q8—861no—
491C2×D4—432no—
492C2×D4—432no—
493C2×D4—432no—
494C2×D4—864no—
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—21no—
505C22×C4—21no—
506C22×C4—24no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—861no—
512C22×C4—864no—
513C22×C4—861no—
514C22×C4—861no—
515C22×C4—3441no—
516C22×C4—3441no—
517C22×C4—1722no—
518C22×C4—1722no—
519C22×C4—1722no—
520C22×C4—1722no—
521C22×C4—1722no—
522C22×C4—1722no—
523C22×C4C2×C4×D4312yes—
524C22×C4#1062189812yes—
525C22×C4C2×C22⋊D4311yescharacteristic
526C22×C4C2×C22⋊D4311yescharacteristic
527C22×C4C2×C22⋊D4311yescharacteristic
528C22×C4C2×C22⋊D4311yescharacteristic
529C22×C4C2×C22⋊D4311yescharacteristic
530C22×C4C23×D4311yescharacteristic
531M16—1724no—
532C2×C8—432no—
533C2×C8—432no—
534C2×C8—861no—
535C2×C8—861no—
536C2×C8—861no—
537C2×C8—861no—
538C2×C8—861no—
539C2×C8—861no—
540C2×C8—861no—
541C2×C8—861no—
542C2×C8—861no—
543C2×C8—861no—
544C4⋊C4—24no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—81no—
552C4⋊C4—81no—
553C4⋊C4—861no—
554C4⋊C4—861no—
555C4⋊C4—861no—
556C4⋊C4—861no—
557C4⋊C4C2×C4×D4312yes—
558C4⋊C4C2×C4×D4312yes—
559C22⋊C4—22no—
560C22⋊C4—41no—
561C22⋊C4—42no—
562C22⋊C4—3441no—
563C22⋊C4—1722no—
564C22⋊C4—1722no—
565C42—21no—
566C42—21no—
567C42—21no—
568C42—21no—
569C42—81no—
570C42—81no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—862no—
578C23—862no—
579C23—862no—
580C23—1721no—
581C23—1721no—
582C23—1721no—
583C23—1721no—
584C23C4×C22⋊D4312yes—
585C23C22×C22⋊D4311yescharacteristic
586Q8—862no—
587Q8—862no—
588Q8—1721no—
589Q8—1721no—
590D4—434no—
591D4—862no—
592D4—862no—
593D4—862no—
594D4—1728no—
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—41no—
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—84no—
625C2×C4—862no—
626C2×C4—3444no—
627C2×C4—3444no—
628C2×C4—1728no—
629C2×C4—1721no—
630C2×C4—1721no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4—1721no—
634C2×C4—1721no—
635C2×C4—1721no—
636C2×C4—1721no—
637C2×C4C4×C22⋊D4312yes—
638C2×C4#1306335612yes—
639C2×C4C22×C4×D4311yescharacteristic
640C2×C4#41×D4311yescharacteristic
641C2×C4#41×D4311yescharacteristic
642C2×C4C2×#1062189811yescharacteristic
643C2×C4#1306337111yescharacteristic
644C2×C4#1306337111yescharacteristic
645C8—862no—
646C8—862no—
647C8—1721no—
648C8—1721no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—864no—
657C22—1722no—
658C22—1722no—
659C22—1722no—
660C22—1722no—
661C22—1722no—
662C22—1722no—
663C22C2×C4×C22⋊D4311yescharacteristic
664C22#1458353711yescharacteristic
665C22#1458353711yescharacteristic
666C22C2×#1306335611yescharacteristic
667C22#1458369711yescharacteristic
668C22#1458370211yescharacteristic
669C22#1458371011yescharacteristic
670C4—22no—
671C4—22no—
672C4—42no—
673C4—42no—
674C4—41no—
675C4—41no—
676C4—41no—
677C4—81no—
678C4—81no—
679C4—3441no—
680C4—3441no—
681C4—1722no—
682C4#117×D4311yescharacteristic
683C4#1458337311yescharacteristic
684C4#1458357311yescharacteristic
685C4#1458357311yescharacteristic
686C2—42no—
687C2—1724no—
688C2#1913744511yescharacteristic
689C2C4×#1306335611yescharacteristic
690C2#1914342711yescharacteristic
691C2#1914656511yescharacteristic
692C2#1914667011yescharacteristic
693C2#1914679011yescharacteristic
694C2#1914690511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2345C2
socleC23×C43C22×D4
prime radicalC22×#10621898C22
cosocleC22×C4×C43C24
hypercenter#2345D43
hypocenterC43#22578
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2345

Complements

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

NH ≅ G/Ntype
3. #19135284C2semidirect
4. #19135270C2semidirect
5. #19135236C2semidirect
6. #19135229C2semidirect
7. #19134855C2semidirect
8. #19134841C2semidirect
9. #19134681C2semidirect
10. #19134626C2semidirect
12. #19134423C2semidirect
13. C4×#13063245C2semidirect
14. #19134379C2semidirect
15. C43×#2345C2semidirect
22. #14582898C4semidirect
74. C2×#10621877C2×C4semidirect
92. #13063248C2×C4semidirect
93. #13063248C2×C4semidirect
112. C2×C4⋊C4×C43C2×C4semidirect
340. #2345D43semidirect
407. C43#22578semidirect
439. C2×C4⋊C4C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145828982
#191374262
#191352842
#191352702
#191352362
#191352292
#191348552
#191348412
#191346812
#191346262
#191345332
#191344232
C4×#130632452
#191343792
C43×#23452
#2257843