Finite Group Databasebeta

← #25025545

Subgroups — #25025545

Order 11008.

1918 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582802C211yesmaximal, characteristic
2C2×#14582779C211yesmaximal, characteristic
3#19132847C212yesmaximal, complemented
4#19132838C212yesmaximal, complemented
5#19132838C212yesmaximal, complemented
6#19132821C212yesmaximal, complemented
7#19132818C212yesmaximal, complemented
8#19132817C212yesmaximal, complemented
9C2×C43×#386C211yesmaximal, characteristic
10C24×Dic43C2211yescharacteristic
11C22×C4⋊Dic43C2211yescharacteristic
12C22×Dic43⋊C4C2212yes—
13C22×C22⋊Dic43C2212yes—
14C22×C22⋊Dic43C2211yescharacteristic
15C22×C22⋊Dic43C2212yes—
16C22×C22⋊Dic43C2212yes—
17C22×C4×Dic43C2211yescharacteristic
18#14582802C418yescomplemented
19#14582779—24no—
20C2×C43⋊#95C2212yes—
21C2×C43⋊#95C2212yes—
22C2×C43⋊#95C2212yes—
23C2×C43⋊#95C2212yes—
24C2×C43⋊#95C2212yes—
25C2×C43⋊#95C2212yes—
26C2×C43⋊#95C2212yes—
27C2×C43⋊#95C2212yes—
28C23×D4×C43C2211yescharacteristic
29C24×C4×C43C2211yescharacteristic
30C22×C22⋊C4×C43C2212yes—
31C22×C22⋊C4×C43C2211yescharacteristic
32C43×#386—24no—
33C2×#95×C43C2212yes—
34C23×Dic43—22no—
35C23×Dic43—24no—
36C23×Dic43—41no—
37C23×Dic43—41no—
38C23×Dic43—42no—
39C23×Dic43C2312yes—
40C23×Dic43C2312yes—
41C23×Dic43C2312yes—
42C23×Dic43C2312yes—
43C2×C4⋊Dic43—41no—
44C2×C4⋊Dic43—41no—
45C2×C4⋊Dic43C2×C414yescomplemented
46C2×Dic43⋊C4—42no—
47C2×Dic43⋊C4—42no—
48C2×Dic43⋊C4—42no—
49C2×C22⋊Dic43—24no—
50C2×C22⋊Dic43—22no—
51C2×C22⋊Dic43—24no—
52C2×C22⋊Dic43—42no—
53C2×C22⋊Dic43—42no—
54C2×C22⋊Dic43—42no—
55C2×C22⋊Dic43—42no—
56C2×C22⋊Dic43—42no—
57C2×C22⋊Dic43—41no—
58C2×C22⋊Dic43—41no—
59C2×C22⋊Dic43C2×C418yescomplemented
60C2×C22⋊Dic43C2×C418yescomplemented
61C2×C4×Dic43—41no—
62C2×C4×Dic43—41no—
63C2×C4×Dic43C2×C414yescomplemented
64C43⋊#95—24no—
65C43⋊#95—24no—
66C43⋊#95—24no—
67C43⋊#95—42no—
68C43⋊#95—42no—
69C43⋊#95—42no—
70C43⋊#95—42no—
71C43⋊#95—42no—
72C25×C43C2311yescharacteristic
73C25×C43C2311yescharacteristic
74C22×D4×C43—41no—
75C22×D4×C43—41no—
76C22×D4×C43—41no—
77C22×D4×C43—41no—
78C22×D4×C43C2×C414yes—
79C22×D4×C43D414yes—
80C22×D4×C43Q814yes—
81C23×C4×C43—22no—
82C23×C4×C43—24no—
83C23×C4×C43—42no—
84C23×C4×C43—41no—
85C23×C4×C43—41no—
86C23×C4×C43C2312yes—
87C23×C4×C43C2312yes—
88C23×C4×C43C2311yescharacteristic
89C2×C22⋊C4×C43—24no—
90C2×C22⋊C4×C43—22no—
91C2×C22⋊C4×C43—24no—
92C2×C22⋊C4×C43—42no—
93C2×C22⋊C4×C43—41no—
94C2×C22⋊C4×C43—41no—
95#95×C43—24no—
96C24×C43—22no—
97C24×C43—22no—
98C24×C43—22no—
99C24×C43—22no—
100C24×C43—21no—
101C24×C43—21no—
102C24×C43—22no—
103C24×C43—21no—
104C24×C43—21no—
105C24×C43—22no—
106C24×C43—21no—
107C24×C43—21no—
108C24×C43—21no—
109C24×C43—21no—
110C24×C43—22no—
111C24×C43—22no—
112C24×C43C22×C412yes—
113C24×C43C22×C412yes—
114C24×C43C2×D412yes—
115C24×C43C2×D412yes—
116C24×C43C2×Q812yes—
117C24×C43C2×Q812yes—
118C24×C43C2411yescharacteristic
119C2×D4×C43—44no—
120C2×D4×C43—44no—
121C2×D4×C43—44no—
122C2×D4×C43—44no—
123C2×D4×C43—44no—
124C2×D4×C43—44no—
125C2×D4×C43C4⋊C4116yescomplemented
126C22×C4×C43—22no—
127C22×C4×C43—22no—
128C22×C4×C43—22no—
129C22×C4×C43—22no—
130C22×C4×C43—22no—
131C22×C4×C43—21no—
132C22×C4×C43—21no—
133C22×C4×C43—21no—
134C22×C4×C43—21no—
135C22×C4×C43—22no—
136C22×C4×C43—22no—
137C22×C4×C43—22no—
138C22×C4×C43—22no—
139C22×C4×C43—22no—
140C22×C4×C43—22no—
141C22×C4×C43—22no—
142C22×C4×C43—22no—
143C22×C4×C43—48no—
144C22×C4×C43—44no—
145C22×C4×C43—44no—
146C22×C4×C43—48no—
147C22×C4×C43—44no—
148C22×C4×C43C22×C412yes—
149C22×C4×C43C2×D412yes—
150C22×C4×C43C2×Q812yes—
151C22×C4×C43#4114yes—
152C22×Dic43—22no—
153C22×Dic43—22no—
154C22×Dic43—22no—
155C22×Dic43—22no—
156C22×Dic43—22no—
157C22×Dic43—22no—
158C22×Dic43—22no—
159C22×Dic43—22no—
160C22×Dic43—22no—
161C22×Dic43—22no—
162C22×Dic43—22no—
163C22×Dic43—22no—
164C22×Dic43—22no—
165C22×Dic43—22no—
166C22×Dic43—22no—
167C22×Dic43—22no—
168C22×Dic43—22no—
169C22×Dic43—22no—
170C22×Dic43—22no—
171C22×Dic43—22no—
172C22×Dic43—22no—
173C22×Dic43—22no—
174C22×Dic43—22no—
175C22×Dic43—22no—
176C22×Dic43—22no—
177C22×Dic43—48no—
178C22×Dic43—44no—
179C22×Dic43—44no—
180C22×Dic43—48no—
181C22×Dic43—44no—
182C22×Dic43C22×C414yes—
183C22×Dic43C22×C414yes—
184C22×Dic43#4114yes—
185C22⋊C4×C43—48no—
186C22⋊C4×C43—44no—
187C22⋊Dic43—48no—
188C22⋊Dic43—48no—
189C22⋊Dic43—48no—
190C22⋊Dic43—44no—
191C4⋊Dic43—44no—
192Dic43⋊C4—48no—
193C4×Dic43—44no—
194C23×C43—24no—
195C23×C43—24no—
196C23×C43—24no—
197C23×C43—24no—
198C23×C43—22no—
199C23×C43—22no—
200C23×C43—22no—
201C23×C43—22no—
202C23×C43—22no—
203C23×C43—22no—
204C23×C43—22no—
205C23×C43—22no—
206C23×C43—22no—
207C23×C43—22no—
208C23×C43—22no—
209C23×C43—22no—
210C23×C43—24no—
211C23×C43—24no—
212C23×C43—24no—
213C23×C43—24no—
214C23×C43—24no—
215C23×C43—24no—
216C23×C43—24no—
217C23×C43—24no—
218C23×C43—42no—
219C23×C43—42no—
220C23×C43—42no—
221C23×C43—42no—
222C23×C43—42no—
223C23×C43—42no—
224C23×C43—42no—
225C23×C43—42no—
226C23×C43—41no—
227C23×C43—41no—
228C23×C43—41no—
229C23×C43—41no—
230C23×C43—42no—
231C23×C43—42no—
232C23×C43—41no—
233C23×C43—41no—
234C23×C43—42no—
235C23×C43—42no—
236C23×C43—41no—
237C23×C43—41no—
238C23×C43C2×C4⋊C414yes—
239C23×C43C2×C4⋊C414yes—
240C23×C43C23×C411yescharacteristic
241C23×C43C22×D411yescharacteristic
242C23×C43C22×Q811yescharacteristic
243C23×C43C2×#4112yes—
244C23×C43C2×#4112yes—
245C23×C43H(5,𝔽2)11yescharacteristic
246C23×C43H(5,𝔽2)11yescharacteristic
247C23×C43H(5,𝔽2)11yescharacteristic
248C23×C43H(5,𝔽2)11yescharacteristic
249C23×C43H(5,𝔽2)12yes—
250C23×C43H(5,𝔽2)12yes—
251D4×C43—416no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—24no—
259C2×C4×C43—24no—
260C2×C4×C43—24no—
261C2×C4×C43—416no—
262C2×C4×C43—42no—
263C2×C4×C43—42no—
264C2×C4×C43—42no—
265C2×C4×C43—42no—
266C2×C4×C43—42no—
267C2×C4×C43—42no—
268C2×C4×C43—42no—
269C2×C4×C43—42no—
270C2×C4×C43—42no—
271C2×C4×C43—42no—
272C2×C4×C43—42no—
273C2×C4×C43C2×C4⋊C414yes—
274C2×Dic43—24no—
275C2×Dic43—24no—
276C2×Dic43—24no—
277C2×Dic43—24no—
278C2×Dic43—24no—
279C2×Dic43—24no—
280C2×Dic43—24no—
281C2×Dic43—24no—
282C2×Dic43—24no—
283C2×Dic43—416no—
284C2×Dic43—42no—
285C2×Dic43—42no—
286C2×Dic43—42no—
287C2×Dic43—42no—
288C2×Dic43—42no—
289C2×Dic43—42no—
290C2×Dic43—42no—
291C2×Dic43—42no—
292C2×Dic43—42no—
293C2×Dic43—42no—
294C2×Dic43—42no—
295C2×Dic43—42no—
296C2×Dic43—42no—
297C2×Dic43—42no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302C2×Dic43—42no—
303#14486—431nomaximal, Sylow
304C22×C43—24no—
305C22×C43—24no—
306C22×C43—28no—
307C22×C43—28no—
308C22×C43—44no—
309C22×C43—44no—
310C22×C43—42no—
311C22×C43—42no—
312C22×C43—42no—
313C22×C43—42no—
314C22×C43—42no—
315C22×C43—42no—
316C22×C43—42no—
317C22×C43—42no—
318C22×C43—44no—
319C22×C43—44no—
320C22×C43—42no—
321C22×C43—42no—
322C22×C43—42no—
323C22×C43—42no—
324C22×C43—44no—
325C22×C43—44no—
326C22×C43C22×C4⋊C411yescharacteristic
327C22×C43C4×#4112yes—
328C22×C43#51812yes—
329C22×C43#51811yescharacteristic
330C22×C43#51811yescharacteristic
331C22×C43#53411yescharacteristic
332C22×C43#53411yescharacteristic
333C22×C43#53812yes—
334C22×C43#53812yes—
335C22×C43#54012yes—
336C22×C43#54012yes—
337C22×C43#54311yescharacteristic
338C22×C43#54311yescharacteristic
339C22×C43#54612yes—
340C22×C43#54612yes—
341C22×C43#55111yescharacteristic
342C22×C43#55111yescharacteristic
343C22×C43#55412yes—
344C22×C43#55412yes—
345C22×C43#55512yes—
346C22×C43#56012yes—
347C22×C43#56011yescharacteristic
348C22×C43#56011yescharacteristic
349C4×C43—24no—
350C4×C43—44no—
351C4×C43—82no—
352Dic43—44no—
353Dic43—44no—
354Dic43—44no—
355Dic43—82no—
356C2×#390—431no—
357C2×#386—431no—
358C2×#386D4311yescharacteristic
359#1441—432no—
360#1439—432no—
361#1439—432no—
362#1434—432no—
363C22⋊#95—432no—
364C22⋊#95—432no—
365C2×C43—44no—
366C2×C43—44no—
367C2×C43#231511yescharacteristic
368C2×C43#233312yes—
369C2×C43#234912yes—
370C2×C43#237211yescharacteristic
371C2×C43#238011yescharacteristic
372C2×C43#269711yescharacteristic
373C2×C43#269711yescharacteristic
374C2×C43#269912yes—
375C2×C43#274811yescharacteristic
376C2×C43#274811yescharacteristic
377C2×C43#278412yes—
378C23×D4C2×D4311yescharacteristic
379C24×C4—431no—
380C24×C4C2×D4311yescharacteristic
381C22×C4⋊C4—431no—
382C22×C4⋊C4—432no—
383C22×C22⋊C4—432no—
384C22×C22⋊C4—432no—
385C22×C22⋊C4—432no—
386C22×C22⋊C4—431no—
387C22×C22⋊C4C2×D4312yes—
388C22×C22⋊C4C2×D4311yescharacteristic
389C22×C42—431no—
390#390—438no—
391#386—24no—
392#386—864no—
393C2×#95—432no—
394C2×#95—432no—
395C2×#95—432no—
396C2×#95—432no—
397C2×#95—432no—
398C2×#95—432no—
399C2×#95—432no—
400C2×#95—432no—
401C2×#95C2×D4312yes—
402C43#1448611yescharacteristic, complemented, Sylow
403C25C22×D4311yescharacteristic
404C25C22×D4311yescharacteristic
405C22×D4—41no—
406C22×D4—41no—
407C22×D4—41no—
408C22×D4—41no—
409C22×D4Dic8614yes—
410C22×D4C4×D4314yes—
411C22×D4C22⋊D4314yes—
412C23×C4—22no—
413C23×C4—24no—
414C23×C4—41no—
415C23×C4—41no—
416C23×C4—42no—
417C23×C4—432no—
418C23×C4—432no—
419C23×C4—432no—
420C23×C4—432no—
421C23×C4—864no—
422C23×C4—862no—
423C23×C4—1721no—
424C23×C4—1721no—
425C23×C4—1722no—
426C23×C4C22×D4312yes—
427C23×C4C22×D4312yes—
428C23×C4C22×D4311yescharacteristic
429C2×C4⋊C4—434no—
430C2×C4⋊C4—1722no—
431C2×C4⋊C4—1722no—
432C2×C4⋊C4—1722no—
433C2×C4⋊C4—1721no—
434C2×C4⋊C4—1721no—
435C2×C22⋊C4—24no—
436C2×C22⋊C4—22no—
437C2×C22⋊C4—24no—
438C2×C22⋊C4—42no—
439C2×C22⋊C4—41no—
440C2×C22⋊C4—41no—
441C2×C22⋊C4—438no—
442C2×C22⋊C4—438no—
443C2×C22⋊C4—864no—
444C2×C22⋊C4—864no—
445C2×C22⋊C4—862no—
446C2×C22⋊C4—1722no—
447C2×C22⋊C4—1722no—
448C2×C22⋊C4—1722no—
449C2×C22⋊C4—1722no—
450C2×C22⋊C4—1722no—
451C2×C22⋊C4—1721no—
452C2×C22⋊C4—1721no—
453C2×C42—434no—
454C2×C42—1721no—
455C2×C42—1721no—
456#95—24no—
457#95—864no—
458#95—864no—
459#95—864no—
460#95—1722no—
461#95—1722no—
462#95—1722no—
463#95—1722no—
464#95—1722no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24—21no—
471C24—21no—
472C24—22no—
473C24—21no—
474C24—21no—
475C24—21no—
476C24—21no—
477C24—21no—
478C24—21no—
479C24—22no—
480C24—22no—
481C24C2×Dic8612yes—
482C24C2×Dic8612yes—
483C24C2×C4×D4312yes—
484C24C2×C4×D4312yes—
485C24C2×C22⋊D4312yes—
486C24C2×C22⋊D4312yes—
487C24C23×D4311yescharacteristic
488C2×D4—44no—
489C2×D4—44no—
490C2×D4—44no—
491C2×D4—44no—
492C2×D4—44no—
493C2×D4—44no—
494C2×D4Dic43⋊C4116yescomplemented
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—44no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—434no—
518C22×C4—434no—
519C22×C4—434no—
520C22×C4—862no—
521C22×C4—862no—
522C22×C4—862no—
523C22×C4—862no—
524C22×C4—862no—
525C22×C4—862no—
526C22×C4—862no—
527C22×C4—862no—
528C22×C4—862no—
529C22×C4—862no—
530C22×C4—862no—
531C22×C4—862no—
532C22×C4—862no—
533C22×C4—862no—
534C22×C4—862no—
535C22×C4—862no—
536C22×C4—862no—
537C22×C4—862no—
538C22×C4—862no—
539C22×C4—862no—
540C22×C4—862no—
541C22×C4—862no—
542C22×C4—862no—
543C22×C4—862no—
544C22×C4—862no—
545C22×C4—1724no—
546C22×C4—1728no—
547C22×C4—1728no—
548C22×C4—1724no—
549C22×C4—1724no—
550C22×C4C2×Dic8612yes—
551C22×C4C2×C4×D4312yes—
552C22×C4#1062190014yes—
553C22×C4C2×C22⋊D4312yes—
554C4⋊C4—1724no—
555C4⋊C4—1728no—
556C22⋊C4—48no—
557C22⋊C4—44no—
558C22⋊C4—1728no—
559C22⋊C4—1728no—
560C22⋊C4—1728no—
561C22⋊C4—1724no—
562C42—1724no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23C2×Dic43⋊C414yes—
608C23C2×Dic43⋊C414yes—
609C23C22×C4×D4311yescharacteristic
610C23C22×C22⋊D4311yescharacteristic
611C23C22×Dic8611yescharacteristic
612C23#41×D4312yes—
613C23C2×#1062190012yes—
614C23#1306337011yescharacteristic
615C23#1306337012yes—
616C23#1306337011yescharacteristic
617C23#1306337011yescharacteristic
618C23#1306337011yescharacteristic
619C23#1306337112yes—
620D4—416no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—416no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—864no—
643C2×C4—864no—
644C2×C4—864no—
645C2×C4—864no—
646C2×C4—864no—
647C2×C4—864no—
648C2×C4—864no—
649C2×C4—864no—
650C2×C4—864no—
651C2×C4—1722no—
652C2×C4—1722no—
653C2×C4—1722no—
654C2×C4—1722no—
655C2×C4—1722no—
656C2×C4—1722no—
657C2×C4—1722no—
658C2×C4—17216no—
659C2×C4—1722no—
660C2×C4—1722no—
661C2×C4—1722no—
662C2×C4—1722no—
663C2×C4—1722no—
664C2×C4—1722no—
665C2×C4—1722no—
666C2×C4—1722no—
667C2×C4—1722no—
668C2×C4—1722no—
669C2×C4—1722no—
670C2×C4—1722no—
671C2×C4C2×Dic43⋊C414yes—
672C22—24no—
673C22—24no—
674C22—28no—
675C22—28no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—44no—
681C22—44no—
682C22—44no—
683C22—44no—
684C22—44no—
685C22—44no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22C22×Dic43⋊C411yescharacteristic
695C22C4×#1062190012yes—
696C22#1458337112yes—
697C22#1458337211yescharacteristic
698C22#1458337211yescharacteristic
699C22#1458345811yescharacteristic
700C22#1458345811yescharacteristic
701C22#1458348412yes—
702C22#1458348512yes—
703C22#1458349912yes—
704C22#1458350212yes—
705C22#1458352511yescharacteristic
706C22#1458352511yescharacteristic
707C22#1458353712yes—
708C22#1458354312yes—
709C22#1458357711yescharacteristic
710C22#1458358011yescharacteristic
711C22#1458360612yes—
712C22#1458360812yes—
713C22#1458361312yes—
714C22#1458363712yes—
715C22#1458363811yescharacteristic
716C22#1458363911yescharacteristic
717C4—24no—
718C4—44no—
719C4—82no—
720C4—3442no—
721C4—1724no—
722C4—1724no—
723C4—1724no—
724C2—44no—
725C2—44no—
726C2#1913720711yescharacteristic
727C2#1913735612yes—
728C2#1913750012yes—
729C2#1913770411yescharacteristic
730C2#1913777011yescharacteristic
731C2#1914115411yescharacteristic
732C2#1914115611yescharacteristic
733C2#1914117812yes—
734C2#1914180611yescharacteristic
735C2#1914181011yescharacteristic
736C2#1914229312yes—
subgroupG/H
center, FrattiniC24C23×D43
commutatorC23×C43C23×C4
FittingC2×C43×#386C2
socle, cosocleC24×C43C24
prime radicalC23×D4×C43C22
hypercenterC2×#386D43
hypocenterC43#14486
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
3. #19132847C2semidirect
4. #19132838C2semidirect
5. #19132838C2semidirect
6. #19132821C2semidirect
7. #19132818C2semidirect
8. #19132817C2semidirect
18. #14582802C4semidirect
45. C2×C4⋊Dic43C2×C4semidirect
59. C2×C22⋊Dic43C2×C4semidirect
60. C2×C22⋊Dic43C2×C4semidirect
63. C2×C4×Dic43C2×C4semidirect
125. C2×D4×C43C4⋊C4semidirect
402. C43#14486semidirect
494. C2×D4Dic43⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#145828022
C2×#145827792
#191328472
#191328382
#191328212
#191328182
#191328172
C2×C43×#3862
#1448643