Finite Group Databasebeta

← #25117259

Subgroups — #25117259

Order 11008.

1058 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583055C211yesmaximal, characteristic
2C2×#14582991C211yesmaximal, characteristic, complemented
3#19137622C211yesmaximal, characteristic
4Q8×C22⋊Dic43C211yesmaximal, characteristic
5#19135463C211yesmaximal, characteristic, complemented
6#19135268C211yesmaximal, characteristic, complemented
7#19135239C211yesmaximal, characteristic, complemented
8#19135028C211yesmaximal, characteristic
9#19134934C211yesmaximal, characteristic, complemented
10#19134933C211yesmaximal, characteristic, complemented
11#19134861C211yesmaximal, characteristic, complemented
12#19134794C211yesmaximal, characteristic
13#19134427C211yesmaximal, characteristic, complemented
14#19134376C211yesmaximal, characteristic
15C2×C43×#419C211yesmaximal, characteristic
16C22×#10621885C2211yescharacteristic
17C22×#10621885C2211yescharacteristic
18C2×#13063304C2211yescharacteristic
19C2×Q8×Dic43C2211yescharacteristic
20C2×Q8×Dic43C2211yescharacteristic
21C2×#13063290C2211yescharacteristic
22#14583055C418yescomplemented
23#14582991—24no—
24C2×#13063258C2211yescharacteristic
25C2×#13063256C2211yescharacteristic
26C2×#13063250C2211yescharacteristic
27C2×#13063250C2211yescharacteristic
28C2×#13063249C2211yescharacteristic
29C2×#13063249C2211yescharacteristic
30C2×C22⋊(C43⋊C8)C2211yescharacteristic
31C2×#13063235C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33#14582806—21no—
34#14582806—21no—
35#14582806C2211yescharacteristic
36#14582806C2211yescharacteristic
37#14582804C2211yescharacteristic
38#14582795C2211yescharacteristic
39#14582793—21no—
40#14582787—21no—
41#14582783—21no—
42#14582759—21no—
43#14582759C2211yescharacteristic
44C4⋊C4×Dic43C2211yescharacteristic
45C4×Dic43⋊C4—21no—
46C4×C22⋊Dic43—21no—
47C4×C22⋊Dic43C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582653C2211yescharacteristic
53#14582653C2211yescharacteristic
54C23×Q8×C43C2211yescharacteristic
55C22×M16×C43C2211yescharacteristic
56C2×#117×C43C2211yescharacteristic
57C43×#419—24no—
58C2×#103×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×#103×C43C2211yescharacteristic
61C2×#103×C43C2211yescharacteristic
62C22×Dic86C2311yescharacteristic
63C2×#10621885—22no—
64C2×#10621885—22no—
65C2×#10621885—41no—
66C2×#10621885—41no—
67C2×#10621885C2×C414yes—
68C2×#10621885C2×C414yes—
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71#13063304—22no—
72#13063304C2×C414yes—
73Q8×Dic43—22no—
74Q8×Dic43—22no—
75Q8×Dic43—41no—
76Q8×Dic43—41no—
77#13063290—22no—
78#13063290—41no—
79C2×C4⋊Dic43—21no—
80C2×C4⋊Dic43—21no—
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×C4⋊Dic43C2311yescharacteristic
84C2×Dic43⋊C4—21no—
85C2×Dic43⋊C4—21no—
86C2×Dic43⋊C4—21no—
87C2×C22⋊Dic43—21no—
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43D411yescharacteristic
90C2×C22⋊Dic43D411yescharacteristic
91C2×C4×Dic43—21no—
92C2×C4×Dic43—21no—
93C2×C4×Dic43—21no—
94C2×C4×Dic43—21no—
95C2×C4×Dic43C2311yescharacteristic
96C2×C4×Dic43C2311yescharacteristic
97#13063258—22no—
98#13063256—41no—
99#13063250—22no—
100#13063250—41no—
101#13063249C2×C414yes—
102#13063249C2×C414yes—
103C22⋊(C43⋊C8)C2×C414yes—
104#13063235—41no—
105C8×Dic43—22no—
106C43⋊#95—21no—
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
117C22×Q8×C43—21no—
118C22×Q8×C43—22no—
119C22×Q8×C43—22no—
120C22×Q8×C43—22no—
121C22×Q8×C43—41no—
122C22×Q8×C43—41no—
123C22×Q8×C43C2×C414yes—
124C22×Q8×C43C2311yescharacteristic
125C22×Q8×C43C2311yescharacteristic
126C23×C4×C43—21no—
127C23×C4×C43C2311yescharacteristic
128C2×M16×C43—22no—
129C2×M16×C43—22no—
130C2×M16×C43—41no—
131C22×C8×C43C2311yescharacteristic
132C22×C8×C43C2311yescharacteristic
133#117×C43—22no—
134#117×C43—41no—
135C2×C4⋊C4×C43C2311yescharacteristic
136C2×C4⋊C4×C43C2311yescharacteristic
137C2×C22⋊C4×C43—21no—
138C2×C42×C43—21no—
139#103×C43—22no—
140#103×C43—22no—
141#103×C43—22no—
142#103×C43D414yes—
143C24×C43C2×D411yescharacteristic
144C2×Q8×C43—24no—
145C2×Q8×C43—21no—
146C2×Q8×C43—21no—
147C2×Q8×C43—21no—
148C2×Q8×C43—21no—
149C2×Q8×C43—28no—
150C2×Q8×C43—21no—
151C2×Q8×C43—21no—
152C2×Q8×C43—21no—
153C2×Q8×C43—21no—
154C2×Q8×C43—42no—
155C2×Q8×C43—42no—
156C2×Q8×C43—44no—
157C2×Q8×C43—44no—
158C2×Q8×C43—44no—
159C2×Q8×C43C22×C412yes—
160C2×Q8×C43C22×C412yes—
161C2×Q8×C43C2×D412yes—
162C2×Q8×C43#4112yes—
163C22×C4×C43—21no—
164C22×C4×C43—21no—
165C22×C4×C43—21no—
166C22×C4×C43—21no—
167C22×C4×C43—24no—
168C22×C4×C43—21no—
169C22×C4×C43—21no—
170C22×C4×C43—21no—
171C22×C4×C43—21no—
172C22×C4×C43—42no—
173C22×C4×C43—42no—
174C22×C4×C43C22×C412yes—
175C22×C4×C43C2×D411yescharacteristic
176C22×C4×C43#4112yes—
177C22×C4×C43C2411yescharacteristic
178C22×Dic43—21no—
179C22×Dic43—21no—
180C22×Dic43—21no—
181C22×Dic43—21no—
182C22×Dic43C2×D411yescharacteristic
183C22×Dic43C2×D411yescharacteristic
184C22×Dic43C2×D411yescharacteristic
185C22×Dic43C2×D411yescharacteristic
186C2×Dic86—21no—
187C2×Dic86—21no—
188C2×Dic86—21no—
189C2×Dic86—21no—
190C2×Dic86—21no—
191C2×Dic86C22×C412yes—
192M16×C43—44no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C2×C8×C43C2×D412yes—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43C2×D412yes—
203C22⋊C4×C43—42no—
204C42×C43—42no—
205C22⋊Dic43—22no—
206C22⋊Dic43—24no—
207C22⋊Dic43—41no—
208C22⋊Dic43—42no—
209#10621885—28no—
210#10621885—44no—
211C4⋊Dic43—21no—
212C4⋊Dic43—21no—
213C4⋊Dic43—21no—
214C4⋊Dic43—21no—
215C4⋊Dic43—21no—
216C4⋊Dic43—42no—
217C4⋊Dic43—42no—
218C4⋊Dic43C22×C412yes—
219Dic43⋊C4—24no—
220Dic43⋊C4—42no—
221Dic43⋊C4—42no—
222C4×Dic43—21no—
223C4×Dic43—21no—
224C4×Dic43—21no—
225C4×Dic43—21no—
226C4×Dic43—42no—
227C4×Dic43—42no—
228C4×Dic43—42no—
229C4×Dic43—42no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8—21no—
232C2×C43⋊C8—21no—
233C2×C43⋊C8—21no—
234C2×C43⋊C8C22×C412yes—
235C2×C43⋊C8C22×C412yes—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—21no—
240C23×C43—21no—
241C23×C43—21no—
242C23×C43C4×D412yes—
243C23×C43C22×D411yescharacteristic
244Q8×C43—22no—
245Q8×C43—22no—
246Q8×C43—22no—
247Q8×C43—22no—
248Q8×C43—22no—
249Q8×C43—48no—
250Q8×C43—41no—
251Q8×C43—41no—
252Q8×C43C4×D414yes—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—21no—
256C2×C4×C43—22no—
257C2×C4×C43—21no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—22no—
261C2×C4×C43—22no—
262C2×C4×C43—22no—
263C2×C4×C43—22no—
264C2×C4×C43—48no—
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×C43C4×D412yes—
273C2×C4×C43C23×C411yescharacteristic
274C2×C4×C43C22×D411yescharacteristic
275C2×C4×C43C2×#4111yescharacteristic
276C2×C4×C43C2×#4111yescharacteristic
277C2×C4×C43H(5,𝔽2)11yescharacteristic
278C2×C4×C43H(5,𝔽2)11yescharacteristic
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—22no—
282C2×Dic43—22no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—21no—
290C2×Dic43—21no—
291C2×Dic43—21no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—41no—
301C2×Dic43—41no—
302C2×Dic43#13712yes—
303Dic86—22no—
304Dic86—22no—
305Dic86—41no—
306Dic86—41no—
307C8×C43—22no—
308C8×C43—41no—
309C43⋊C8—22no—
310C43⋊C8—22no—
311#22881—431nomaximal, Sylow
312C22×C43—22no—
313C22×C43—22no—
314C22×C43—22no—
315C22×C43—41no—
316C22×C43—41no—
317C22×C43—41no—
318C22×C43—41no—
319C22×C43C2×C4×D411yescharacteristic
320C22×C43D4211yescharacteristic
321C22×C43#54611yescharacteristic
322C22×C43C2×#13711yescharacteristic
323C22×C43#57511yescharacteristic
324C22×C43#57811yescharacteristic
325C22×C43#57811yescharacteristic
326C4×C43—22no—
327C4×C43—24no—
328C4×C43—42no—
329C4×C43—42no—
330C4×C43—81no—
331C4×C43C2×C4×D411yescharacteristic
332C4×C43#51811yescharacteristic
333C4×C43#54611yescharacteristic
334C4×C43#55111yescharacteristic
335Dic43—22no—
336Dic43—41no—
337Dic43—42no—
338Dic43—42no—
339Dic43—41no—
340Dic43—41no—
341Dic43—81no—
342Dic43—81no—
343C2×#451—431no—
344C2×C4×Q16—431no—
345C2×#419D4311yescharacteristic
346#2362—431no—
347Q8×C22⋊C4—431no—
348#1971—431no—
349#1933—431no—
350#1928—431no—
351#1894—431no—
352#1878—431no—
353#1878—431no—
354#1865—431no—
355#1854—431no—
356#1763—431no—
357#1753—431no—
358C2×C43—42no—
359C2×C43#235811yescharacteristic
360C2×C43C4×#13711yescharacteristic
361C2×C43#295011yescharacteristic
362C2×C43#326911yescharacteristic
363C2×C43#327011yescharacteristic
364C2×C43#332711yescharacteristic
365C2×C43#332811yescharacteristic
366C23×Q8C2×D4311yescharacteristic
367C22×Q16—431no—
368C22×Q16—431no—
369C22×M16C2×D4311yescharacteristic
370C2×C22⋊Q8—431no—
371C2×C4×Q8—431no—
372C2×C4×Q8—431no—
373C2×C4×Q8—431no—
374C2×#117C2×D4311yescharacteristic
375#451—438no—
376C4×Q16—864no—
377C2×#107—431no—
378C2×#106—431no—
379#419—24no—
380C2×#103—431no—
381C2×#103—431no—
382C2×#103—431no—
383C2×#103—431no—
384C2×#103C2×D4311yescharacteristic
385C2×#103C2×D4311yescharacteristic
386C2×#103C2×D4311yescharacteristic
387C2×#103C2×D4311yescharacteristic
388C2×C22⋊C8—431no—
389C2×#97—431no—
390C2×C4×C8—431no—
391#391—431no—
392#391—431no—
393#391—431no—
394#391—861no—
395#391—861no—
396#389—431no—
397#388—861no—
398#388—861no—
399#387—861no—
400#380—431no—
401#380—861no—
402C4×C4⋊C4—431no—
403C4×C4⋊C4—861no—
404C4×C22⋊C4—431no—
405C4×C22⋊C4—861no—
406#340—431no—
407#340—431no—
408#340—431no—
409#340—431no—
410#336—431no—
411#336—431no—
412C43#2288111yescharacteristic, complemented, Sylow
413C22×Q8—21no—
414C22×Q8—22no—
415C22×Q8—22no—
416C22×Q8—22no—
417C22×Q8—41no—
418C22×Q8—41no—
419C22×Q8—431no—
420C22×Q8C4×D4314yes—
421C22×Q8C22×D4311yescharacteristic
422C22×Q8C22×D4311yescharacteristic
423C23×C4—21no—
424C23×C4C22×D4311yescharacteristic
425C2×Q16—434no—
426C2×Q16—434no—
427C2×Q16—862no—
428C2×Q16—862no—
429C2×Q16—1721no—
430C2×Q16—1721no—
431C2×M16—22no—
432C2×M16—22no—
433C2×M16—41no—
434C22×C8—431no—
435C22×C8—431no—
436C22×C8C22×D4311yescharacteristic
437C22×C8C22×D4311yescharacteristic
438C22⋊Q8—434no—
439C22⋊Q8—862no—
440C4×Q8—862no—
441C4×Q8—862no—
442C4×Q8—862no—
443C4×Q8—1721no—
444C4×Q8—1721no—
445C4×Q8—1721no—
446#117—22no—
447#117—41no—
448C2×C4⋊C4—431no—
449C2×C4⋊C4—431no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—861no—
452C2×C4⋊C4—861no—
453C2×C4⋊C4—861no—
454C2×C4⋊C4—861no—
455C2×C4⋊C4—861no—
456C2×C4⋊C4C22×D4311yescharacteristic
457C2×C4⋊C4C22×D4311yescharacteristic
458C2×C22⋊C4—21no—
459C2×C22⋊C4—431no—
460C2×C22⋊C4—431no—
461C2×C22⋊C4—861no—
462C2×C22⋊C4—861no—
463C2×C42—21no—
464C2×C42—431no—
465C2×C42—431no—
466C2×C42—861no—
467C2×C42—861no—
468C2×C42—861no—
469C2×C42—861no—
470#107—862no—
471#106—1721no—
472#103—22no—
473#103—22no—
474#103—22no—
475#103—434no—
476#103—434no—
477#103—862no—
478#103—1721no—
479#103C22⋊D4314yes—
480C22⋊C8—434no—
481#97—1721no—
482C4×C8—862no—
483#95—431no—
484#95—431no—
485#95—861no—
486#95—861no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492#95—861no—
493#95—861no—
494C24D4×D4311yescharacteristic
495C2×Q8—24no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—28no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—42no—
506C2×Q8—42no—
507C2×Q8—44no—
508C2×Q8—44no—
509C2×Q8—44no—
510C2×Q8—432no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—861no—
514C2×Q8—861no—
515C2×Q8—861no—
516C2×Q8C2×C4×D4312yes—
517C2×Q8C2×C4×D4312yes—
518C2×Q8#1062189812yes—
519C2×Q8C2×C22⋊D4312yes—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—24no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—431no—
532C22×C4—431no—
533C22×C4—431no—
534C22×C4—431no—
535C22×C4—861no—
536C22×C4—861no—
537C22×C4—861no—
538C22×C4—861no—
539C22×C4C2×C4×D4312yes—
540C22×C4D4×D4311yescharacteristic
541C22×C4#1062190012yes—
542C22×C4C23×D4311yescharacteristic
543Q16—868no—
544Q16—1724no—
545M16—44no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—432no—
552C2×C8—432no—
553C2×C8—861no—
554C2×C8—861no—
555C2×C8—861no—
556C2×C8—861no—
557C2×C8C2×C22⋊D4312yes—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—432no—
562C4⋊C4—864no—
563C4⋊C4—861no—
564C4⋊C4—861no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—861no—
568C4⋊C4—1722no—
569C4⋊C4—1722no—
570C4⋊C4—1722no—
571C4⋊C4—1722no—
572C4⋊C4C2×C22⋊D4312yes—
573C22⋊C4—42no—
574C22⋊C4—862no—
575C22⋊C4—864no—
576C22⋊C4—1721no—
577C22⋊C4—1722no—
578C42—42no—
579C42—861no—
580C42—861no—
581C42—861no—
582C42—861no—
583C42—1722no—
584C42—1722no—
585C42—1722no—
586C42—1722no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23(C22⋊D43)⋊C412yes—
594C23C2×D4×D4311yescharacteristic
595Q8—22no—
596Q8—22no—
597Q8—22no—
598Q8—22no—
599Q8—22no—
600Q8—48no—
601Q8—41no—
602Q8—41no—
603Q8—862no—
604Q8—862no—
605Q8—1721no—
606Q8—1721no—
607Q8C4×C22⋊D4314yes—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—48no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—432no—
628C2×C4—861no—
629C2×C4—861no—
630C2×C4—862no—
631C2×C4—862no—
632C2×C4—861no—
633C2×C4—861no—
634C2×C4—861no—
635C2×C4—861no—
636C2×C4—861no—
637C2×C4—861no—
638C2×C4—861no—
639C2×C4—861no—
640C2×C4—861no—
641C2×C4—1721no—
642C2×C4—1721no—
643C2×C4—1721no—
644C2×C4—1721no—
645C2×C4—1721no—
646C2×C4—1721no—
647C2×C4—1721no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4(C22⋊D43)⋊C412yes—
652C2×C4C22×C4×D4311yescharacteristic
653C2×C4C22×C22⋊D4311yescharacteristic
654C2×C4C2×#1062190011yescharacteristic
655C2×C4C2×#1062189811yescharacteristic
656C2×C4#1306337011yescharacteristic
657C2×C4#1306337011yescharacteristic
658C8—22no—
659C8—41no—
660C8—862no—
661C8—862no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22C2×(C22⋊D43)⋊C411yescharacteristic
670C22D4×C22⋊D4311yescharacteristic
671C22#1458353911yescharacteristic
672C22#137×D4311yescharacteristic
673C22#1458369811yescharacteristic
674C22#1458371511yescharacteristic
675C22#1458371511yescharacteristic
676C4—22no—
677C4—24no—
678C4—42no—
679C4—42no—
680C4—81no—
681C4—862no—
682C4—3441no—
683C4—3441no—
684C4—1722no—
685C4—1721no—
686C4—1721no—
687C4—1721no—
688C4—1722no—
689C4C2×C4×C22⋊D4311yescharacteristic
690C4#1458337211yescharacteristic
691C4#1458354311yescharacteristic
692C4#1458357511yescharacteristic
693C2—42no—
694C2#1913757411yescharacteristic
695C2#1914341011yescharacteristic
696C2#1914345911yescharacteristic
697C2#1914614411yescharacteristic
698C2#1914615911yescharacteristic
699C2#1914685911yescharacteristic
700C2#1914687411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#419C2
socleC23×C43C22×D4
prime radicalC24×C43C2×D4
cosocleC22×C4×C43C24
hypercenterC2×#419D43
hypocenterC43#22881
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#419

Complements

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

NH ≅ G/Ntype
2. C2×#14582991C2semidirect
5. #19135463C2semidirect
6. #19135268C2semidirect
7. #19135239C2semidirect
9. #19134934C2semidirect
10. #19134933C2semidirect
11. #19134861C2semidirect
13. #19134427C2semidirect
22. #14583055C4semidirect
412. C43#22881semidirect

Maximal subgroups

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

subgroupindex
C2×#145830552
C2×#145829912
#191376222
Q8×C22⋊Dic432
#191354632
#191352682
#191352392
#191350282
#191349342
#191349332
#191348612
#191347942
#191344272
#191343762
C2×C43×#4192
#2288143