Finite Group Databasebeta

← #25101141

Subgroups — #25101141

Order 11008.

1142 conjugacy classes of subgroups.

The subgroup lattice has 658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583526C211yesmaximal, characteristic
2C2×#14582924C211yesmaximal, characteristic
3#19136949C211yesmaximal, characteristic
4#19135552C211yesmaximal, characteristic, complemented
5#19135551C211yesmaximal, characteristic, complemented
6#19135550C211yesmaximal, characteristic, complemented
7#19135549C211yesmaximal, characteristic, complemented
8#19135545C211yesmaximal, characteristic, complemented
9#19135544C211yesmaximal, characteristic, complemented
10#19135541C211yesmaximal, characteristic, complemented
11#19134313C211yesmaximal, characteristic
12#19134313C211yesmaximal, characteristic
13#19134310C211yesmaximal, characteristic
14#340×D43C211yesmaximal, characteristic
15C43×#1988C211yesmaximal, characteristic, complemented
16C22×#10621872C2211yescharacteristic
17C22×C8×D43C2211yescharacteristic
18#14583526—24no—
19#14583526C418yescomplemented
20C2×#13063324C2211yescharacteristic
21C2×#13063323—21no—
22C2×#13063317C2211yescharacteristic
23C2×#13063316C2211yescharacteristic
24C2×#13063315—21no—
25C2×#13063303—21no—
26C2×#13063301—21no—
27C2×#13063283C2211yescharacteristic
28C2×#13063283C2211yescharacteristic
29C2×#13063282C2211yescharacteristic
30C2×C4⋊C4×D43C2211yescharacteristic
31C2×C4⋊C4×D43C2211yescharacteristic
32#14582924—24no—
33C2×C4⋊(C43⋊C8)C2211yescharacteristic
34C2×Dic43⋊C8C2211yescharacteristic
35C2×Dic43⋊C8C2211yescharacteristic
36C4⋊C4×Dic43C2211yescharacteristic
37C4⋊C4×Dic43C2211yescharacteristic
38C4×Dic43⋊C4—21no—
39C4×C4⋊Dic43C2211yescharacteristic
40#14582750—21no—
41C4×(C2×D43)⋊C4—21no—
42#14582746—21no—
43#14582662C2211yescharacteristic
44#14582662C2211yescharacteristic
45#14582662C2211yescharacteristic
46#14582662C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53#14582661C2211yescharacteristic
54#14582661C2211yescharacteristic
55C2×C4⋊Q8×C43C2211yescharacteristic
56C2×C4⋊C8×C43C2211yescharacteristic
57C4×C4⋊C4×C43C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C43×#340C2211yescharacteristic
60C43×#340C2211yescharacteristic
61C43×#340C2211yescharacteristic
62C22×Dic86—21no—
63C22×C4×D43—21no—
64C22×C4×D43—21no—
65C22×C4×D43C2311yescharacteristic
66C2×#10621872—22no—
67C2×#10621872—22no—
68C2×#10621872—22no—
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71C2×C8×D43—22no—
72C2×C8×D43—22no—
73C2×C8×D43—22no—
74#13063324—22no—
75#13063324C2×C414yescomplemented
76#13063323—28no—
77#13063317—22no—
78#13063317C2×C414yescomplemented
79#13063316—22no—
80#13063316C2×C414yescomplemented
81#13063315—28no—
82#13063303—28no—
83#13063301—28no—
84#13063283—22no—
85#13063283—22no—
86#13063283C2×C414yes—
87#13063283Q814yescomplemented
88#13063282C2×C414yes—
89#13063282D414yes—
90C2×C4⋊Dic43—21no—
91C2×C4⋊Dic43C2311yescharacteristic
92C2×C4⋊Dic43C2311yescharacteristic
93C2×C4⋊Dic43C2311yescharacteristic
94C2×C4⋊Dic43C2311yescharacteristic
95C2×Dic43⋊C4—21no—
96C2×Dic43⋊C4—21no—
97C2×Dic43⋊C4—21no—
98C2×Dic43⋊C4—21no—
99C2×Dic43⋊C4—21no—
100C2×Dic43⋊C4—21no—
101C2×Dic43⋊C4D411yescharacteristic
102C2×Dic43⋊C4D411yescharacteristic
103C4⋊C4×D43—22no—
104C4⋊C4×D43—22no—
105C4⋊C4×D43C2×C414yes—
106C4⋊C4×D43Q814yescomplemented
107C2×(C2×D43)⋊C4—21no—
108C2×(C2×D43)⋊C4—21no—
109C2×(C2×D43)⋊C4D411yescharacteristic
110C2×(C2×D43)⋊C4D411yescharacteristic
111C2×C4×Dic43—21no—
112C2×C4×Dic43—21no—
113C2×C4×Dic43—21no—
114C2×C4×Dic43—21no—
115C2×C4×Dic43—21no—
116C2×C4×Dic43C2311yescharacteristic
117C4⋊(C43⋊C8)—22no—
118Dic43⋊C8—22no—
119Dic43⋊C8—22no—
120C43⋊#95—21no—
121C43⋊#95—21no—
122C43⋊#95—21no—
123C22×Q8×C43—21no—
124C22×C8×C43C2311yescharacteristic
125C22×C8×C43C2311yescharacteristic
126C4⋊Q8×C43—22no—
127C4⋊Q8×C43C2×C414yescomplemented
128C2×C4⋊C4×C43—21no—
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C4⋊C4×C43C2311yescharacteristic
132C2×C4⋊C4×C43C2311yescharacteristic
133C2×C42×C43—21no—
134C2×C42×C43C2311yescharacteristic
135C4⋊C8×C43—22no—
136#95×C43—21no—
137C23×D43C2×D411yescharacteristic
138C2×Q8×C43—24no—
139C2×Q8×C43—81no—
140C2×Q8×C43—81no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43C2×D411yescharacteristic
146C22×C4×C43C2×D411yescharacteristic
147C22×C4×C43C2411yescharacteristic
148C22×Dic43—21no—
149C22×Dic43—21no—
150C22×Dic43—21no—
151C22×Dic43—21no—
152C22×Dic43C2×D411yescharacteristic
153C22×Dic43C2×D411yescharacteristic
154C22×Dic43C2×D411yescharacteristic
155C2×C4×D43—24no—
156C2×C4×D43—24no—
157C2×C4×D43—81no—
158C2×C4×D43—81no—
159C2×C4×D43—81no—
160C2×C4×D43—81no—
161C2×C4×D43C22×C412yes—
162C2×C4×D43C2×D412yes—
163C2×C4×D43C2×Q812yes—
164C2×C4×D43C2×Q812yes—
165C2×C4×D43#4112yes—
166C2×C4×D43#4112yes—
167C2×Dic86—24no—
168C2×Dic86—81no—
169C2×Dic86—81no—
170C2×C8×C43—21no—
171C2×C8×C43—21no—
172C2×C8×C43—21no—
173C2×C8×C43—21no—
174C2×C8×C43—21no—
175C2×C8×C43—21no—
176C4⋊C4×C43—24no—
177C4⋊C4×C43—21no—
178C4⋊C4×C43—21no—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43C22×C412yes—
182C4⋊C4×C43C22×C412yes—
183C4⋊C4×C43C2×Q812yes—
184C4⋊C4×C43C2×Q812yes—
185C42×C43—81no—
186C42×C43C22×C412yes—
187C42×C43C2×D412yes—
188(C2×D43)⋊C4—24no—
189(C2×D43)⋊C4—24no—
190(C2×D43)⋊C4C22⋊C414yes—
191(C2×D43)⋊C4C22⋊C414yes—
192C4⋊Dic43—21no—
193C4⋊Dic43—21no—
194C4⋊Dic43—21no—
195C4⋊Dic43—21no—
196C4⋊Dic43—24no—
197C4⋊Dic43C22×C412yes—
198C4⋊Dic43C22×C412yes—
199C4⋊Dic43C2×Q812yes—
200C4⋊Dic43C2×Q812yes—
201Dic43⋊C4—24no—
202Dic43⋊C4—24no—
203Dic43⋊C4—24no—
204Dic43⋊C4—24no—
205Dic43⋊C4—24no—
206Dic43⋊C4—24no—
207Dic43⋊C4C22⋊C414yes—
208Dic43⋊C4C22⋊C414yes—
209C4×Dic43—24no—
210C4×Dic43—24no—
211C4×Dic43—81no—
212C4×Dic43—81no—
213C4×Dic43—81no—
214C4×Dic43C22×C412yes—
215C4×Dic43C2×D412yes—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222#10621872—44no—
223C8×D43—44no—
224C23×C43C22×D411yescharacteristic
225C22×D43—21no—
226C22×D43—21no—
227C22×D43—21no—
228C22×D43—21no—
229C22×D43C2×C22⋊C412yes—
230C22×D43C22⋊Q812yes—
231C22×D43C22⋊Q812yes—
232Q8×C43—84no—
233C2×C4×C43—21no—
234C2×C4×C43—21no—
235C2×C4×C43—21no—
236C2×C4×C43—21no—
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×C43C2×C22⋊C412yes—
250C2×C4×C43C2×C22⋊C412yes—
251C2×C4×C43C23×C411yescharacteristic
252C2×C4×C43C22×D411yescharacteristic
253C2×C4×C43C22×Q811yescharacteristic
254C2×C4×C43C22×Q811yescharacteristic
255C2×C4×C43C2×#4111yescharacteristic
256C2×C4×C43C2×#4111yescharacteristic
257C2×Dic43—21no—
258C2×Dic43—21no—
259C2×Dic43—21no—
260C2×Dic43—21no—
261C2×Dic43—22no—
262C2×Dic43—22no—
263C2×Dic43—22no—
264C2×Dic43—22no—
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×Dic43C2×C22⋊C412yes—
274C2×Dic43C2×C22⋊C412yes—
275C2×Dic43C2×C22⋊C412yes—
276C2×Dic43C22⋊Q812yes—
277C2×Dic43C22⋊Q812yes—
278C4×D43—84no—
279C4×D43—84no—
280C4×D43C4×Q814yes—
281C4×D43C4×Q814yes—
282C4×D43#12414yes—
283C4×D43C4⋊Q814yes—
284Dic86—84no—
285C8×C43—41no—
286C8×C43—41no—
287C43⋊C8—41no—
288C43⋊C8—41no—
289#21315—431nomaximal, Sylow
290C22×C43C22×C22⋊C411yescharacteristic
291C22×C43C2×C22⋊Q811yescharacteristic
292C22×C43C2×C22⋊Q811yescharacteristic
293C22×C43#57611yescharacteristic
294C22×C43#57711yescharacteristic
295C22×C43#57711yescharacteristic
296C22×C43#57811yescharacteristic
297C2×D43—22no—
298C2×D43—22no—
299C2×D43—22no—
300C2×D43—22no—
301C2×D43—22no—
302C2×D43—22no—
303C2×D43#39114yes—
304C4×C43—22no—
305C4×C43—22no—
306C4×C43—42no—
307C4×C43—42no—
308C4×C43—42no—
309C4×C43—42no—
310C4×C43C2×C4×Q811yescharacteristic
311C4×C43C2×C4×Q811yescharacteristic
312C4×C43C2×#12411yescharacteristic
313C4×C43C2×C4⋊Q811yescharacteristic
314Dic43—22no—
315Dic43—22no—
316Dic43—42no—
317Dic43—42no—
318Dic43—42no—
319Dic43—42no—
320Dic43#39114yes—
321C2×#544—431no—
322C2×#424—431no—
323#2274—431no—
324#1989—431no—
325#1989—431no—
326#1989—431no—
327#1989—431no—
328#1988—431no—
329#1988D4311yescharacteristic, complemented
330#1987—431no—
331#1987—431no—
332#1736—431no—
333#1736—431no—
334#1735—431no—
335C2×#340—431no—
336C2×C43C2×#39111yescharacteristic
337C2×C43#289711yescharacteristic
338C2×C43#289811yescharacteristic
339C2×C43#308111yescharacteristic
340C2×C43#308211yescharacteristic
341C2×C43#308311yescharacteristic
342C2×C43#308411yescharacteristic
343D43—24no—
344C22×M16—431no—
345C23×C8—431no—
346#544—438no—
347#544—864no—
348C2×C4⋊Q8—431no—
349C2×C4⋊Q8—861no—
350C2×C4⋊Q8C2×D4311yescharacteristic
351C2×#125—431no—
352C2×#125—431no—
353C2×#125—861no—
354C2×C22⋊Q8—861no—
355C2×C22⋊Q8—861no—
356C2×#117—431no—
357C2×#117—431no—
358C2×#117—431no—
359C22×C4⋊C4—431no—
360C22×C4⋊C4—431no—
361#424—864no—
362C2×C4⋊C8—431no—
363C2×C4⋊C8—431no—
364C2×C4⋊C8—431no—
365C2×C4⋊C8C2×D4311yescharacteristic
366C4×C4⋊C4—431no—
367C4×C4⋊C4—431no—
368C4×C4⋊C4—431no—
369C4×C4⋊C4—861no—
370C4×C4⋊C4—861no—
371C4×C4⋊C4C2×D4311yescharacteristic
372C4×C22⋊C4—861no—
373C4×C22⋊C4—861no—
374#340—431no—
375#340—431no—
376#340—431no—
377#340—431no—
378#340—431no—
379#340—431no—
380#340—431no—
381#340—431no—
382#340—431no—
383#340—431no—
384#340—431no—
385#340—431no—
386#340C2×D4311yescharacteristic
387#340C2×D4311yescharacteristic
388#340C2×D4311yescharacteristic
389#340C2×D4311yescharacteristic
390C43#2131511yescharacteristic, complemented, Sylow
391C22×Q8—21no—
392C22×Q8—861no—
393C23×C4—431no—
394C23×C4—861no—
395C23×C4—861no—
396C2×M16—862no—
397C2×M16—862no—
398C2×M16—862no—
399C22×C8—431no—
400C22×C8—431no—
401C22×C8—862no—
402C22×C8—862no—
403C22×C8—862no—
404C22×C8C22×D4311yescharacteristic
405C22×C8C22×D4311yescharacteristic
406C4⋊Q8—22no—
407C4⋊Q8—434no—
408C4⋊Q8—862no—
409C4⋊Q8—868no—
410C4⋊Q8C4×D4314yescomplemented
411#125—434no—
412#125—434no—
413#125—862no—
414#125—868no—
415#125—862no—
416C22⋊Q8—868no—
417C22⋊Q8—868no—
418#117—434no—
419#117—434no—
420#117—434no—
421#117—434no—
422#117—862no—
423#117—862no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—431no—
426C2×C4⋊C4—431no—
427C2×C4⋊C4—431no—
428C2×C4⋊C4—431no—
429C2×C4⋊C4—431no—
430C2×C4⋊C4—431no—
431C2×C4⋊C4—434no—
432C2×C4⋊C4—434no—
433C2×C4⋊C4—862no—
434C2×C4⋊C4—862no—
435C2×C4⋊C4—861no—
436C2×C4⋊C4—861no—
437C2×C4⋊C4—861no—
438C2×C4⋊C4—861no—
439C2×C4⋊C4—861no—
440C2×C4⋊C4—861no—
441C2×C4⋊C4—861no—
442C2×C4⋊C4C22×D4311yescharacteristic
443C2×C4⋊C4C22×D4311yescharacteristic
444C2×C4⋊C4C22×D4311yescharacteristic
445C2×C4⋊C4C22×D4311yescharacteristic
446C2×C22⋊C4—431no—
447C2×C22⋊C4—431no—
448C2×C22⋊C4—861no—
449C2×C22⋊C4—861no—
450C2×C42—21no—
451C2×C42—431no—
452C2×C42—861no—
453C2×C42—861no—
454C2×C42—861no—
455C2×C42—861no—
456C2×C42—861no—
457C2×C42C22×D4311yescharacteristic
458C4⋊C8—22no—
459C4⋊C8—862no—
460C4⋊C8—862no—
461C4⋊C8—862no—
462#95—21no—
463#95—861no—
464#95—861no—
465#95—861no—
466C24—431no—
467C2×Q8—24no—
468C2×Q8—81no—
469C2×Q8—81no—
470C2×Q8—864no—
471C2×Q8—3441no—
472C2×Q8—3441no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—431no—
478C22×C4—432no—
479C22×C4—432no—
480C22×C4—432no—
481C22×C4—432no—
482C22×C4—432no—
483C22×C4—432no—
484C22×C4—431no—
485C22×C4—431no—
486C22×C4—864no—
487C22×C4—864no—
488C22×C4—861no—
489C22×C4—861no—
490C22×C4—861no—
491C22×C4—861no—
492C22×C4—3441no—
493C22×C4—3441no—
494C22×C4—3441no—
495C22×C4—3441no—
496C22×C4D4×D4311yescharacteristic
497C22×C4D4×D4311yescharacteristic
498C22×C4C23×D4311yescharacteristic
499M16—1724no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—861no—
507C2×C8—861no—
508C2×C8—861no—
509C2×C8—861no—
510C2×C8—861no—
511C2×C8—861no—
512C2×C8—1724no—
513C4⋊C4—24no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—434no—
519C4⋊C4—434no—
520C4⋊C4—432no—
521C4⋊C4—432no—
522C4⋊C4—432no—
523C4⋊C4—432no—
524C4⋊C4—864no—
525C4⋊C4—864no—
526C4⋊C4—864no—
527C4⋊C4—864no—
528C4⋊C4—864no—
529C4⋊C4—864no—
530C4⋊C4—864no—
531C4⋊C4—861no—
532C4⋊C4—861no—
533C4⋊C4—861no—
534C4⋊C4—861no—
535C4⋊C4C2×C4×D4312yes—
536C4⋊C4C2×C4×D4312yes—
537C4⋊C4Q8×D4312yes—
538C4⋊C4Q8×D4312yes—
539C22⋊C4—434no—
540C22⋊C4—434no—
541C22⋊C4—864no—
542C22⋊C4—864no—
543C42—81no—
544C42—432no—
545C42—432no—
546C42—864no—
547C42—864no—
548C42—3441no—
549C42—3441no—
550C42—3441no—
551C42C2×C4×D4312yes—
552C42D4×D4312yes—
553C23—432no—
554C23—432no—
555C23—432no—
556C23—861no—
557C23—861no—
558C23—861no—
559C23—861no—
560C23C2×D4×D4311yescharacteristic
561Q8—84no—
562Q8—3444no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—432no—
580C2×C4—432no—
581C2×C4—432no—
582C2×C4—434no—
583C2×C4—434no—
584C2×C4—434no—
585C2×C4—434no—
586C2×C4—432no—
587C2×C4—432no—
588C2×C4—861no—
589C2×C4—861no—
590C2×C4—861no—
591C2×C4—861no—
592C2×C4—862no—
593C2×C4—862no—
594C2×C4—862no—
595C2×C4—862no—
596C2×C4—3444no—
597C2×C4—3444no—
598C2×C4—1721no—
599C2×C4—1721no—
600C2×C4—1721no—
601C2×C4—1721no—
602C2×C4—1721no—
603C2×C4—1721no—
604C2×C4—1721no—
605C2×C4—1721no—
606C2×C4C22⋊C4×D4312yes—
607C2×C4C22⋊C4×D4312yes—
608C2×C4C22×C4×D4311yescharacteristic
609C2×C4C2×D4×D4311yescharacteristic
610C2×C4C2×Q8×D4311yescharacteristic
611C2×C4C2×Q8×D4311yescharacteristic
612C2×C4#41×D4311yescharacteristic
613C2×C4#41×D4311yescharacteristic
614C8—41no—
615C8—41no—
616C8—1721no—
617C8—1721no—
618C22—434no—
619C22—862no—
620C22—862no—
621C22—862no—
622C22—862no—
623C22—862no—
624C22—862no—
625C22C2×C22⋊C4×D4311yescharacteristic
626C22C22⋊Q8×D4311yescharacteristic
627C22C22⋊Q8×D4311yescharacteristic
628C22#1458370011yescharacteristic
629C22#1458370511yescharacteristic
630C22#1458370811yescharacteristic
631C22#1458371511yescharacteristic
632C4—22no—
633C4—22no—
634C4—42no—
635C4—42no—
636C4—42no—
637C4—42no—
638C4—434no—
639C4—862no—
640C4—862no—
641C4—1722no—
642C4—1722no—
643C4—1722no—
644C4—1722no—
645C4C4×Q8×D4311yescharacteristic
646C4C4×Q8×D4311yescharacteristic
647C4#124×D4311yescharacteristic
648C4C4⋊Q8×D4311yescharacteristic
649C2—864no—
650C2#391×D4311yescharacteristic
651C2#1914311611yescharacteristic
652C2#1914312711yescharacteristic
653C2#1914441911yescharacteristic
654C2#1914443011yescharacteristic
655C2#1914444111yescharacteristic
656C2#1914445411yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1988C2
socleC23×C43C22×D4
prime radicalC23×D43C2×D4
cosocleC22×C4×C43C24
hypercenter#1988D43
hypocenterC43#21315
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1988

Complements

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

NH ≅ G/Ntype
4. #19135552C2semidirect
5. #19135551C2semidirect
6. #19135550C2semidirect
7. #19135549C2semidirect
8. #19135545C2semidirect
9. #19135544C2semidirect
10. #19135541C2semidirect
15. C43×#1988C2semidirect
19. #14583526C4semidirect
75. #13063324C2×C4semidirect
78. #13063317C2×C4semidirect
80. #13063316C2×C4semidirect
87. #13063283Q8semidirect
106. C4⋊C4×D43Q8semidirect
127. C4⋊Q8×C43C2×C4semidirect
329. #1988D43semidirect
390. C43#21315semidirect
410. C4⋊Q8C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145835262
C2×#145829242
#191369492
#191355522
#191355512
#191355502
#191355492
#191355452
#191355442
#191355412
#191343132
#191343102
#340×D432
C43×#19882
#2131543