Finite Group Databasebeta

← #25114762

Subgroups — #25114762

Order 11008.

970 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582970C211yesmaximal, characteristic
2C2×#14582938C211yesmaximal, characteristic, complemented
3#19137545C211yesmaximal, characteristic
4#19137525C211yesmaximal, characteristic
5#19135360C211yesmaximal, characteristic, complemented
6#19135350C211yesmaximal, characteristic, complemented
7#19134794C211yesmaximal, characteristic, complemented
8#19134794C211yesmaximal, characteristic, complemented
9#19134791C211yesmaximal, characteristic, complemented
10#19134781C211yesmaximal, characteristic, complemented
11#19134760C211yesmaximal, characteristic, complemented
12#19134625C211yesmaximal, characteristic, complemented
13#19134624C211yesmaximal, characteristic, complemented
14#19134495C211yesmaximal, characteristic, complemented
15C2×C43×#427C211yesmaximal, characteristic, complemented
16C22×#10621872C2211yescharacteristic
17C2×C4×C22⋊D43C2211yescharacteristic
18C2×#13063283C2211yescharacteristic
19C2×C4⋊C4×D43C2211yescharacteristic
20#14582970C418yescomplemented
21#14582938—24no—
22C2×#13063259C2211yescharacteristic
23C2×#13063259C2211yescharacteristic
24C2×#13063258C2211yescharacteristic
25C2×#13063258C2211yescharacteristic
26C2×#13063256C2211yescharacteristic
27C2×#13063256C2211yescharacteristic
28C2×Dic43⋊C8C2211yescharacteristic
29C2×C22⋊(C43⋊C8)C2211yescharacteristic
30C2×(C2×D43)⋊C8C2211yescharacteristic
31C2×#13063235C2211yescharacteristic
32#14582799—21no—
33#14582793—21no—
34#14582790—21no—
35#14582787—21no—
36#14582783—21no—
37#14582775—21no—
38#14582768C2211yescharacteristic
39#14582764C2211yescharacteristic
40#14582759C2211yescharacteristic
41#14582759C2211yescharacteristic
42#14582756C2211yescharacteristic
43#14582756C2211yescharacteristic
44C4⋊C4×Dic43C2211yescharacteristic
45C4⋊C4×Dic43C2211yescharacteristic
46C4×Dic43⋊C4—21no—
47C4×(C2×D43)⋊C4—21no—
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54C23×C8×C43C2211yescharacteristic
55C2×#117×C43C2211yescharacteristic
56C2×#117×C43C2211yescharacteristic
57C43×#427—24no—
58C2×#107×C43C2211yescharacteristic
59C2×#107×C43C2211yescharacteristic
60C2×#106×C43C2211yescharacteristic
61C2×#106×C43C2211yescharacteristic
62C22×C22⋊D43D411yescharacteristic
63C22×C4×D43—21no—
64C22×C4×D43C2311yescharacteristic
65C2×#10621872—22no—
66C2×#10621872—22no—
67C2×#10621872C2×C414yes—
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70C4×C22⋊D43C2×C414yes—
71C4×C22⋊D43Q814yes—
72#13063283—22no—
73#13063283—41no—
74C2×C4⋊Dic43C2311yescharacteristic
75C2×C4⋊Dic43C2311yescharacteristic
76C2×C4⋊Dic43C2311yescharacteristic
77C2×C4⋊Dic43C2311yescharacteristic
78C2×Dic43⋊C4—21no—
79C2×Dic43⋊C4—21no—
80C2×Dic43⋊C4—21no—
81C2×Dic43⋊C4D411yescharacteristic
82C4⋊C4×D43—22no—
83C4⋊C4×D43—41no—
84C2×C22⋊Dic43—21no—
85C2×C22⋊Dic43—21no—
86C2×C22⋊Dic43D411yescharacteristic
87C2×(C2×D43)⋊C4—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90C2×(C2×D43)⋊C4D411yescharacteristic
91C2×C4×Dic43—21no—
92C2×C4×Dic43—21no—
93C2×C4×Dic43—21no—
94C2×C4×Dic43C2311yescharacteristic
95#13063259—22no—
96#13063259—22no—
97#13063258—22no—
98#13063258—41no—
99#13063256—22no—
100#13063256—41no—
101Dic43⋊C8C2×C414yescomplemented
102C22⋊(C43⋊C8)C2×C414yescomplemented
103(C2×D43)⋊C8C2×C414yes—
104#13063235C2×C414yescomplemented
105C43⋊#95—21no—
106C43⋊#95—21no—
107C43⋊#95—21no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C23×C4×C43C2311yescharacteristic
114C22×C8×C43—22no—
115C22×C8×C43—22no—
116C22×C8×C43C2×C414yescomplemented
117C22×C8×C43C2311yescharacteristic
118C22×C8×C43C2311yescharacteristic
119#117×C43—22no—
120#117×C43—22no—
121#117×C43—41no—
122#117×C43—41no—
123C2×C4⋊C4×C43C2311yescharacteristic
124C2×C4⋊C4×C43C2311yescharacteristic
125C2×C4⋊C4×C43C2311yescharacteristic
126C2×C4⋊C4×C43C2311yescharacteristic
127C2×C22⋊C4×C43—21no—
128C2×C22⋊C4×C43—21no—
129C2×C42×C43—21no—
130C2×C42×C43—21no—
131#107×C43—22no—
132#107×C43—22no—
133#106×C43—22no—
134#106×C43D414yescomplemented
135C24×C43C2×D411yescharacteristic
136C23×D43C2×D411yescharacteristic
137C22×C4×C43—21no—
138C22×C4×C43—21no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43C22×C412yes—
146C22×C4×C43C2×D411yescharacteristic
147C22×C4×C43C2×Q812yes—
148C22×C4×C43C2411yescharacteristic
149C2×C22⋊D43—41no—
150C2×C22⋊D43—41no—
151C2×C22⋊D43C4⋊C414yes—
152C22×Dic43—21no—
153C22×Dic43—21no—
154C22×Dic43—21no—
155C22×Dic43—21no—
156C22×Dic43C2×D411yescharacteristic
157C22×Dic43C2×D411yescharacteristic
158C22×Dic43C2×D411yescharacteristic
159C2×C4×D43—21no—
160C2×C4×D43—21no—
161C2×C4×D43—21no—
162C2×C4×D43—21no—
163C2×C4×D43—42no—
164C2×C4×D43—42no—
165C2×C4×D43—81no—
166C2×C4×D43C22×C412yes—
167C2×C4×D43C2×Q812yes—
168C2×C8×C43—21no—
169C2×C8×C43—21no—
170C2×C8×C43—28no—
171C2×C8×C43C22×C412yes—
172C2×C8×C43C22×C412yes—
173C2×C8×C43C2×D412yes—
174C2×C8×C43#4112yes—
175C4⋊C4×C43—21no—
176C4⋊C4×C43—21no—
177C4⋊C4×C43—21no—
178C4⋊C4×C43—21no—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43C2×D412yes—
182C4⋊C4×C43C2×D412yes—
183C22⋊C4×C43—42no—
184C22⋊C4×C43—42no—
185C42×C43—42no—
186C42×C43—42no—
187C22⋊Dic43—81no—
188C22⋊Dic43—81no—
189C22⋊Dic43C4⋊C414yes—
190(C2×D43)⋊C4—42no—
191(C2×D43)⋊C4—42no—
192(C2×D43)⋊C4—81no—
193(C2×D43)⋊C4C4⋊C414yes—
194C4⋊Dic43—21no—
195C4⋊Dic43—21no—
196C4⋊Dic43—21no—
197C4⋊Dic43—21no—
198C4⋊Dic43—21no—
199C4⋊Dic43—21no—
200C4⋊Dic43—21no—
201C4⋊Dic43—21no—
202Dic43⋊C4—42no—
203Dic43⋊C4—42no—
204Dic43⋊C4—81no—
205Dic43⋊C4C4⋊C414yes—
206C4×Dic43—42no—
207C4×Dic43—42no—
208C4×Dic43—81no—
209C4×Dic43C22×C412yes—
210C4×Dic43C2×Q812yes—
211C2×C43⋊C8—21no—
212C2×C43⋊C8—21no—
213C2×C43⋊C8—21no—
214C2×C43⋊C8—21no—
215C2×C43⋊C8C22×C412yes—
216C2×C43⋊C8C22×C412yes—
217#10621872—28no—
218C23×C43—21no—
219C23×C43—21no—
220C23×C43—21no—
221C23×C43—21no—
222C23×C43—21no—
223C23×C43—21no—
224C23×C43C2×C4⋊C412yes—
225C23×C43C22×D411yescharacteristic
226C22×D43—21no—
227C22×D43—21no—
228C22×D43—21no—
229C22×D43—21no—
230C22×D43—21no—
231C22×D43—21no—
232C22×D43C2×C4⋊C412yes—
233C2×C4×C43—21no—
234C2×C4×C43—21no—
235C2×C4×C43—22no—
236C2×C4×C43—22no—
237C2×C4×C43—22no—
238C2×C4×C43—22no—
239C2×C4×C43—22no—
240C2×C4×C43—22no—
241C2×C4×C43—41no—
242C2×C4×C43—41no—
243C2×C4×C43—41no—
244C2×C4×C43—41no—
245C2×C4×C43—41no—
246C2×C4×C43—41no—
247C2×C4×C43—41no—
248C2×C4×C43—41no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43C2×C4⋊C412yes—
252C2×C4×C43C23×C411yescharacteristic
253C2×C4×C43C22×D411yescharacteristic
254C2×C4×C43C22×Q811yescharacteristic
255C2×C4×C43C2×#4111yescharacteristic
256C2×C4×C43H(5,𝔽2)11yescharacteristic
257C2×C4×C432−1+411yescharacteristic
258C22⋊D43—44no—
259C2×Dic43—21no—
260C2×Dic43—21no—
261C2×Dic43—21no—
262C2×Dic43—21no—
263C2×Dic43—21no—
264C2×Dic43—21no—
265C2×Dic43—41no—
266C2×Dic43—41no—
267C2×Dic43—41no—
268C2×Dic43—41no—
269C2×Dic43—41no—
270C2×Dic43—41no—
271C2×Dic43—41no—
272C2×Dic43—41no—
273C2×Dic43—41no—
274C2×Dic43—41no—
275C2×Dic43—41no—
276C2×Dic43—41no—
277C2×Dic43C2×C4⋊C412yes—
278C2×Dic43C2×C4⋊C412yes—
279C2×Dic43C2×C4⋊C412yes—
280C4×D43—22no—
281C4×D43—22no—
282C4×D43—22no—
283C4×D43—22no—
284C4×D43—84no—
285C8×C43—22no—
286C8×C43C4×D414yes—
287C43⋊C8—22no—
288C43⋊C8—22no—
289#22660—431nomaximal, Sylow
290C22×C43—22no—
291C22×C43—22no—
292C22×C43—22no—
293C22×C43—41no—
294C22×C43—41no—
295C22×C43—41no—
296C22×C43—41no—
297C22×C43C22×C4⋊C411yescharacteristic
298C22×C43D4211yescharacteristic
299C22×C43#54711yescharacteristic
300C22×C43#57511yescharacteristic
301C22×C43#57511yescharacteristic
302C22×C43#57611yescharacteristic
303C22×C43#57811yescharacteristic
304C2×D43—22no—
305C2×D43—22no—
306C2×D43—22no—
307C2×D43—41no—
308C2×D43—41no—
309C2×D43—41no—
310C2×D43—41no—
311C4×C43—22no—
312C4×C43—42no—
313C4×C43—42no—
314C4×C43—81no—
315C4×C43—81no—
316C4×C43C2×C4×D411yescharacteristic
317C4×C43#52011yescharacteristic
318C4×C43D4×Q811yescharacteristic
319C4×C43#55411yescharacteristic
320Dic43—22no—
321Dic43—22no—
322Dic43—22no—
323Dic43—81no—
324Dic43—81no—
325Dic43—81no—
326Dic43—81no—
327C2×#435—431no—
328C2×#428—431no—
329C2×#427D4311yescharacteristic, complemented
330#2354—431no—
331#2352—431no—
332#1949—431no—
333#1947—431no—
334#1854—431no—
335#1854—431no—
336#1854—431no—
337#1852—431no—
338#1847—431no—
339#1809—431no—
340#1808—431no—
341#1776—431no—
342C2×C43—42no—
343C2×C43D4×C4⋊C411yescharacteristic
344C2×C43#291111yescharacteristic
345C2×C43#291311yescharacteristic
346C2×C43#326811yescharacteristic
347C2×C43#326911yescharacteristic
348C2×C43#334711yescharacteristic
349C2×C43#334911yescharacteristic
350D43—42no—
351C22×M16—431no—
352C23×C8C2×D4311yescharacteristic
353C2×C4×D4—431no—
354C2×#117—431no—
355C2×#117C2×D4311yescharacteristic
356C2×#117C2×D4311yescharacteristic
357C22×C4⋊C4—431no—
358#435—438no—
359#428—864no—
360#427—24no—
361C2×#107—431no—
362C2×#107—431no—
363C2×#107—431no—
364C2×#107—431no—
365C2×#107C2×D4311yescharacteristic
366C2×#107C2×D4311yescharacteristic
367C2×#106—431no—
368C2×#106—431no—
369C2×#106C2×D4311yescharacteristic
370C2×#106C2×D4311yescharacteristic
371C2×C4⋊C8—431no—
372C2×C22⋊C8—431no—
373C2×C22⋊C8—431no—
374C2×#97—431no—
375#390—861no—
376#388—861no—
377#388—861no—
378#388—861no—
379#387—861no—
380#386—861no—
381#384—431no—
382#382—431no—
383#380—431no—
384#380—431no—
385#380—431no—
386#380—431no—
387C4×C4⋊C4—431no—
388C4×C4⋊C4—431no—
389C4×C4⋊C4—861no—
390C4×C22⋊C4—861no—
391#340—431no—
392#340—431no—
393#340—431no—
394#340—431no—
395#340—431no—
396#340—431no—
397C43#2266011yescharacteristic, complemented, Sylow
398C22×D4—431no—
399C23×C4—431no—
400C23×C4—861no—
401C23×C4C22×D4311yescharacteristic
402C2×M16—434no—
403C2×M16—862no—
404C2×M16—862no—
405C22×C8—22no—
406C22×C8—22no—
407C22×C8—431no—
408C22×C8—431no—
409C22×C8C4×D4314yescomplemented
410C22×C8C22×D4311yescharacteristic
411C22×C8C22×D4311yescharacteristic
412C4×D4—434no—
413C4×D4—434no—
414#117—22no—
415#117—22no—
416#117—41no—
417#117—41no—
418#117—862no—
419#117—1721no—
420C2×C4⋊C4—431no—
421C2×C4⋊C4—431no—
422C2×C4⋊C4—431no—
423C2×C4⋊C4—431no—
424C2×C4⋊C4—431no—
425C2×C4⋊C4—862no—
426C2×C4⋊C4—861no—
427C2×C4⋊C4—861no—
428C2×C4⋊C4—861no—
429C2×C4⋊C4—1721no—
430C2×C4⋊C4C22×D4311yescharacteristic
431C2×C4⋊C4C22×D4311yescharacteristic
432C2×C4⋊C4C22×D4311yescharacteristic
433C2×C4⋊C4C22×D4311yescharacteristic
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—431no—
437C2×C22⋊C4—431no—
438C2×C22⋊C4—861no—
439C2×C22⋊C4—861no—
440C2×C22⋊C4—861no—
441C2×C22⋊C4—861no—
442C2×C22⋊C4—861no—
443C2×C42—21no—
444C2×C42—21no—
445C2×C42—431no—
446C2×C42—861no—
447C2×C42—861no—
448C2×C42—861no—
449#107—22no—
450#107—22no—
451#107—862no—
452#107—862no—
453#107—862no—
454#107—1721no—
455#106—22no—
456#106—862no—
457#106—1721no—
458#106C22⋊D4314yescomplemented
459C4⋊C8—434no—
460C22⋊C8—434no—
461C22⋊C8—434no—
462#97—434no—
463#95—861no—
464#95—861no—
465#95—861no—
466#95—861no—
467#95—861no—
468#95—861no—
469#95—861no—
470#95—861no—
471C24—431no—
472C24D4×D4311yescharacteristic
473C2×D4—434no—
474C2×D4—1721no—
475C2×D4—1721no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—431no—
485C22×C4—431no—
486C22×C4—431no—
487C22×C4—432no—
488C22×C4—432no—
489C22×C4—861no—
490C22×C4—861no—
491C22×C4—861no—
492C22×C4—861no—
493C22×C4—861no—
494C22×C4—861no—
495C22×C4—861no—
496C22×C4—861no—
497C22×C4—3441no—
498C22×C4—1722no—
499C22×C4—1722no—
500C22×C4C2×C4×D4312yes—
501C22×C4D4×D4311yescharacteristic
502C22×C4Q8×D4312yes—
503C22×C4C23×D4311yescharacteristic
504M16—868no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—28no—
508C2×C8—432no—
509C2×C8—432no—
510C2×C8—861no—
511C2×C8—861no—
512C2×C8—861no—
513C2×C8—861no—
514C2×C8C2×C4×D4312yes—
515C2×C8C2×C4×D4312yes—
516C2×C8#1062189812yes—
517C2×C8C2×C22⋊D4312yes—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—434no—
525C4⋊C4—861no—
526C4⋊C4—861no—
527C4⋊C4—861no—
528C4⋊C4—861no—
529C4⋊C4—861no—
530C4⋊C4—861no—
531C4⋊C4—861no—
532C4⋊C4—861no—
533C4⋊C4—3441no—
534C4⋊C4—1722no—
535C4⋊C4—1722no—
536C4⋊C4C2×C22⋊D4312yes—
537C4⋊C4C2×C22⋊D4312yes—
538C22⋊C4—42no—
539C22⋊C4—42no—
540C22⋊C4—434no—
541C22⋊C4—434no—
542C22⋊C4—3441no—
543C22⋊C4—3441no—
544C22⋊C4—3441no—
545C22⋊C4—1722no—
546C22⋊C4—1722no—
547C42—42no—
548C42—42no—
549C42—432no—
550C42—432no—
551C42—3441no—
552C42—1722no—
553C42—1722no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—432no—
561C23—861no—
562C23—861no—
563C23—861no—
564C23—861no—
565C23—861no—
566C23—861no—
567C23C4⋊C4×D4312yes—
568C23C2×D4×D4311yescharacteristic
569D4—1724no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—432no—
589C2×C4—432no—
590C2×C4—432no—
591C2×C4—861no—
592C2×C4—861no—
593C2×C4—861no—
594C2×C4—861no—
595C2×C4—861no—
596C2×C4—861no—
597C2×C4—862no—
598C2×C4—862no—
599C2×C4—862no—
600C2×C4—862no—
601C2×C4—3444no—
602C2×C4—1721no—
603C2×C4—1721no—
604C2×C4—1721no—
605C2×C4—1721no—
606C2×C4—1721no—
607C2×C4—1721no—
608C2×C4—1721no—
609C2×C4—1721no—
610C2×C4—1721no—
611C2×C4—1721no—
612C2×C4—1721no—
613C2×C4—1721no—
614C2×C4C4⋊C4×D4312yes—
615C2×C4C22×C4×D4311yescharacteristic
616C2×C4C22×C22⋊D4311yescharacteristic
617C2×C4C2×Q8×D4311yescharacteristic
618C2×C4C2×#1062189811yescharacteristic
619C2×C4#1306337011yescharacteristic
620C2×C4#1306337311yescharacteristic
621C8—22no—
622C8—862no—
623C8—862no—
624C8C4×C22⋊D4314yes—
625C22—22no—
626C22—22no—
627C22—22no—
628C22—41no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—862no—
633C22—862no—
634C22—862no—
635C22—1721no—
636C22—1721no—
637C22—1721no—
638C22—1721no—
639C22C2×C4⋊C4×D4311yescharacteristic
640C22D4×C22⋊D4311yescharacteristic
641C22#1458355011yescharacteristic
642C22#1458369611yescharacteristic
643C22#1458369611yescharacteristic
644C22#1458370111yescharacteristic
645C22#1458371311yescharacteristic
646C4—22no—
647C4—42no—
648C4—42no—
649C4—81no—
650C4—81no—
651C4—862no—
652C4—862no—
653C4—862no—
654C4—3441no—
655C4—3441no—
656C4—3441no—
657C4—3441no—
658C4C2×C4×C22⋊D4311yescharacteristic
659C4#1458338011yescharacteristic
660C4Q8×C22⋊D4311yescharacteristic
661C4#1458360411yescharacteristic
662C2—42no—
663C2—1722no—
664C2C4⋊C4×C22⋊D4311yescharacteristic
665C2#1914318311yescharacteristic
666C2#1914319211yescharacteristic
667C2#1914613511yescharacteristic
668C2#1914615011yescharacteristic
669C2#1914709111yescharacteristic
670C2#1914712111yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#427C2
socleC23×C43C22×D4
prime radicalC22×C22⋊D43D4
cosocleC22×C4×C43C24
hypercenterC2×#427D43
hypocenterC43#22660
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#427

Complements

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

NH ≅ G/Ntype
2. C2×#14582938C2semidirect
5. #19135360C2semidirect
6. #19135350C2semidirect
7. #19134794C2semidirect
8. #19134794C2semidirect
9. #19134791C2semidirect
10. #19134781C2semidirect
11. #19134760C2semidirect
12. #19134625C2semidirect
13. #19134624C2semidirect
14. #19134495C2semidirect
15. C2×C43×#427C2semidirect
20. #14582970C4semidirect
101. Dic43⋊C8C2×C4semidirect
102. C22⋊(C43⋊C8)C2×C4semidirect
104. #13063235C2×C4semidirect
116. C22×C8×C43C2×C4semidirect
134. #106×C43D4semidirect
329. C2×#427D43semidirect
397. C43#22660semidirect
409. C22×C8C4×D43semidirect
458. #106C22⋊D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145829702
C2×#145829382
#191375452
#191375252
#191353602
#191353502
#191347942
#191347912
#191347812
#191347602
#191346252
#191346242
#191344952
C2×C43×#4272
#2266043