Finite Group Databasebeta

← #14765124

Subgroups — #14765124

Order 2816.

968 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622423C211yesmaximal, characteristic
2#13071296C211yesmaximal, characteristic, complemented
3#13071207C211yesmaximal, characteristic
4#13069497C211yesmaximal, characteristic, complemented
5#13069476C211yesmaximal, characteristic, complemented
6#13069298C211yesmaximal, characteristic, complemented
7#13069259C211yesmaximal, characteristic, complemented
8#13069234C211yesmaximal, characteristic, complemented
9#13068972C211yesmaximal, characteristic, complemented
10#13068954C211yesmaximal, characteristic, complemented
11#13068922C211yesmaximal, characteristic, complemented
12#13068805C211yesmaximal, characteristic, complemented
13#13068555C211yesmaximal, characteristic
14#13068385C211yesmaximal, characteristic, complemented
15C11×#1935C211yesmaximal, characteristic, complemented
16C22×#4343C2211yescharacteristic
17C22×#4326C2211yescharacteristic
18C22×#4314C2211yescharacteristic
19C2×#66950C2211yescharacteristic
20C2×C4⋊C4×D11C2211yescharacteristic
21C2×#66940C2211yescharacteristic
22C2×#66925C2211yescharacteristic
23C2×C11×#103C2211yescharacteristic
24C2×C11×#103C2211yescharacteristic
25C2×C11×#97C2211yescharacteristic
26C11×#391C2211yescharacteristic
27C11×#389C2211yescharacteristic
28#10622843C2211yescharacteristic
29C2×#66899C2211yescharacteristic
30C2×#66885C2211yescharacteristic
31C2×(C2×D11)⋊C8C2211yescharacteristic
32C2×(C2×D11)⋊C8C2211yescharacteristic
33C2×#66882C2211yescharacteristic
34C2×#66880C2211yescharacteristic
35#10622603—21no—
36#10622601C2211yescharacteristic
37#10622600C2211yescharacteristic
38C4⋊C4×Dic11C2211yescharacteristic
39#10622586—21no—
40C2×#66874C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66873C2211yescharacteristic
43C2×#66871C2211yescharacteristic
44#10622552C2211yescharacteristic
45#10622542C2211yescharacteristic
46C2×C4×C11⋊C8C2211yescharacteristic
47#10622423C418yescomplemented
48#10622282—21no—
49#10622280—21no—
50#10622280—21no—
51#10622278—21no—
52#10622278—21no—
53#10622267—21no—
54C11×#340C2211yescharacteristic
55C11×#340C2211yescharacteristic
56#10622188C2211yescharacteristic
57#10622188C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60C22×Q8×C11C2311yescharacteristic
61C2×#4343—22no—
62C2×#4343—41no—
63C2×#4343—41no—
64C2×#4343—41no—
65C2×#4343—41no—
66C2×#4343C2×C414yes—
67C22×D44—21no—
68C22×D44C2311yescharacteristic
69C22×C4×D11—21no—
70C22×C4×D11—21no—
71C22×C4×D11C2311yescharacteristic
72C22×Dic22C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C22×C8×C11C2311yescharacteristic
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C42×C11C2311yescharacteristic
80C2×#4326—41no—
81C2×#4326—41no—
82C2×#4326C2×C414yescomplemented
83C2×(C2×D11)⋊C4—21no—
84C2×(C2×D11)⋊C4—21no—
85C2×(C2×D11)⋊C4—21no—
86C2×(C2×D11)⋊C4—21no—
87C2×(C2×D11)⋊C4—21no—
88C2×(C2×D11)⋊C4—21no—
89C2×(C2×D11)⋊C4D411yescharacteristic
90C2×(C2×D11)⋊C4D411yescharacteristic
91C2×C4⋊Dic11—21no—
92C2×C4⋊Dic11C2311yescharacteristic
93C2×C4⋊Dic11C2311yescharacteristic
94C2×Dic11⋊C4—21no—
95C2×Dic11⋊C4—21no—
96C2×Dic11⋊C4D411yescharacteristic
97C2×Dic11⋊C4D411yescharacteristic
98C2×C4×Dic11—21no—
99C2×C4×Dic11—21no—
100C2×C4×Dic11C2311yescharacteristic
101C22×C11⋊C8C2311yescharacteristic
102C22×C11⋊C8C2311yescharacteristic
103C2×#4314—41no—
104C2×#4314—41no—
105C2×#4314C2×C414yescomplemented
106#66950—22no—
107#66950C2×C414yes—
108C4⋊C4×D11—41no—
109C4⋊C4×D11—41no—
110#66940—41no—
111#66940—41no—
112#66925—41no—
113#66925—41no—
114C11×#103—41no—
115C11×#103C2×C414yescomplemented
116C11×#97—41no—
117C11×#95—21no—
118C11×#95—21no—
119C11×#95—21no—
120#66899—41no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C11⋊#95—21no—
126C11⋊#95—21no—
127#66885—41no—
128(C2×D11)⋊C8—22no—
129(C2×D11)⋊C8C2×C414yes—
130#66882—41no—
131#66880—41no—
132#66874—41no—
133#66873—41no—
134#66873C2×C414yescomplemented
135#66871—41no—
136C4×C11⋊C8—41no—
137#22057—111nomaximal, Sylow
138C23×D11—21no—
139C23×D11C2×D411yescharacteristic
140C2×Q8×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11C22×C412yes—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11C2×D411yescharacteristic
151C22×C4×C11C2×D411yescharacteristic
152C22×C4×C11C2411yescharacteristic
153C22×Dic11—21no—
154C22×Dic11—21no—
155C22×Dic11—21no—
156C22×Dic11C2×D411yescharacteristic
157C22×Dic11C2×D411yescharacteristic
158C22×Dic11C2×D411yescharacteristic
159#4343—44no—
160#4343—44no—
161#4343—44no—
162#4343—44no—
163C2×D44—24no—
164C2×D44—21no—
165C2×D44—21no—
166C2×D44—21no—
167C2×D44—21no—
168C2×D44—21no—
169C2×D44—42no—
170C2×D44—42no—
171C2×D44C22×C412yes—
172C2×C4×D11—24no—
173C2×C4×D11—21no—
174C2×C4×D11—21no—
175C2×C4×D11—21no—
176C2×C4×D11—21no—
177C2×C4×D11—42no—
178C2×C4×D11—42no—
179C2×C4×D11—42no—
180C2×C4×D11—81no—
181C2×C4×D11—81no—
182C2×C4×D11C22×C412yes—
183C2×C4×D11#4112yes—
184C2×Dic22—21no—
185C2×Dic22—21no—
186C2×Dic22—21no—
187C2×Dic22—21no—
188C2×Dic22—21no—
189C2×Dic22C22×C412yes—
190C2×C8×C11—21no—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11C22×C412yes—
196C11×C4⋊C4—21no—
197C11×C4⋊C4—21no—
198C11×C4⋊C4—21no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4—81no—
202C11×C4⋊C4C22×C412yes—
203C42×C11—21no—
204C42×C11—21no—
205#4326—44no—
206(C2×D11)⋊C4—24no—
207(C2×D11)⋊C4—41no—
208(C2×D11)⋊C4—41no—
209(C2×D11)⋊C4—81no—
210(C2×D11)⋊C4—81no—
211(C2×D11)⋊C4—81no—
212(C2×D11)⋊C4—81no—
213(C2×D11)⋊C4—81no—
214C4⋊Dic11—24no—
215C4⋊Dic11—21no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11—21no—
219Dic11⋊C4—41no—
220Dic11⋊C4—41no—
221Dic11⋊C4—42no—
222Dic11⋊C4—42no—
223C4×Dic11—21no—
224C4×Dic11—21no—
225C4×Dic11—42no—
226C4×Dic11—81no—
227C2×C11⋊C8—21no—
228C2×C11⋊C8—21no—
229C2×C11⋊C8—21no—
230C2×C11⋊C8—21no—
231C2×C11⋊C8—21no—
232C2×C11⋊C8C22×C412yes—
233#4314—44no—
234C2×#452—111no—
235#2323—111no—
236#2311—111no—
237#1973—111no—
238#1969—111no—
239#1935D1111yescharacteristic, complemented
240#1934—111no—
241#1928—111no—
242#1925—111no—
243#1880—111no—
244#1878—111no—
245#1872—111no—
246#1852—111no—
247#1788—111no—
248#1750—111no—
249C23×C11C22×D411yescharacteristic
250C22×D11—21no—
251C22×D11—21no—
252C22×D11—21no—
253C22×D11—21no—
254C22×D11—21no—
255C22×D11—21no—
256C22×D11—22no—
257C22×D11—41no—
258C22×D11—41no—
259C22×D11—41no—
260C22×D11—41no—
261C22×D11—41no—
262C22×D11—41no—
263C22×D11C4×D412yes—
264Q8×C11—22no—
265Q8×C11—22no—
266Q8×C11—41no—
267Q8×C11—41no—
268C2×C4×C11—22no—
269C2×C4×C11—22no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11C23×C411yescharacteristic
287C2×C4×C11C2×#4111yescharacteristic
288C2×C4×C11H(5,𝔽2)11yescharacteristic
289C2×C4×C11H(5,𝔽2)11yescharacteristic
290C2×C4×C11H(5,𝔽2)11yescharacteristic
291C2×C4×C11H(5,𝔽2)11yescharacteristic
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—22no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—21no—
298C2×Dic11—21no—
299C2×Dic11—21no—
300C2×Dic11—21no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11C4×D412yes—
310D44—22no—
311D44—22no—
312D44—48no—
313D44—41no—
314D44—41no—
315C4×D11—22no—
316C4×D11—22no—
317C4×D11—22no—
318C4×D11—22no—
319C4×D11—48no—
320C4×D11—84no—
321Dic22—22no—
322Dic22—22no—
323Dic22—41no—
324Dic22—41no—
325C8×C11—22no—
326C8×C11—41no—
327C11⋊C8—22no—
328C11⋊C8—41no—
329C22×#41—111no—
330C22×Q16—111no—
331C22×SD16—111no—
332C2×C22⋊Q8—111no—
333C2×C4×Q8—111no—
334C2×#117—111no—
335C22×C4⋊C4—111no—
336#452—118no—
337C2×#107—111no—
338C2×#107—111no—
339C2×#103—111no—
340C2×#103—111no—
341C2×#103—111no—
342C2×#103C2×D1111yescharacteristic
343C2×#103C2×D1111yescharacteristic
344C2×#102—111no—
345C2×#102—111no—
346C2×#102—111no—
347C2×C22⋊C8—111no—
348C2×C22⋊C8—111no—
349C2×#97C2×D1111yescharacteristic
350C2×C4×C8—111no—
351#391—111no—
352#391—111no—
353#391C2×D1111yescharacteristic
354#390—111no—
355#390—111no—
356#389—221no—
357#389C2×D1111yescharacteristic
358#388—221no—
359#388—221no—
360#387—221no—
361#386—221no—
362#386—221no—
363#380—111no—
364#380—221no—
365#380—221no—
366C4×C4⋊C4—111no—
367#340—111no—
368#340—111no—
369#340C2×D1111yescharacteristic
370#340C2×D1111yescharacteristic
371#336—111no—
372#336—111no—
373C22×C11C2×C4×D411yescharacteristic
374C22×C11#53411yescharacteristic
375C22×C11#53511yescharacteristic
376C22×C11#57611yescharacteristic
377C22×C11#57711yescharacteristic
378C22×C11#57811yescharacteristic
379C22×C11#57811yescharacteristic
380C2×D11—22no—
381C2×D11—22no—
382C2×D11—22no—
383C2×D11—41no—
384C2×D11—41no—
385C2×D11—41no—
386C2×D11—41no—
387C2×D11—42no—
388C2×D11—42no—
389C2×D11—42no—
390C2×D11—81no—
391C2×D11—81no—
392C2×D11—81no—
393C2×D11—81no—
394C4×C11—42no—
395C4×C11—41no—
396C4×C11—41no—
397C4×C11—42no—
398C4×C11—81no—
399C4×C11—81no—
400C4×C11#51811yescharacteristic
401C4×C11#51811yescharacteristic
402C4×C11#53811yescharacteristic
403C4×C11#53811yescharacteristic
404Dic11—22no—
405Dic11—42no—
406Dic11—41no—
407Dic11—41no—
408Dic11—81no—
409Dic11—81no—
410C2×#41—114no—
411C2×#41—222no—
412C2×#41—441no—
413C2×#41—441no—
414C2×#41—441no—
415C2×#41—441no—
416C22×Q8—111no—
417C22×Q8C22×D1111yescharacteristic
418C22×D4—111no—
419C22×D4—221no—
420C23×C4—111no—
421C23×C4—221no—
422C23×C4—221no—
423C2×Q16—114no—
424C2×Q16—441no—
425C2×Q16—441no—
426C2×SD16—114no—
427C2×SD16—441no—
428C2×SD16—441no—
429C22×C8—111no—
430C22×C8—111no—
431C22×C8C22×D1111yescharacteristic
432C22×C8C22×D1111yescharacteristic
433C22⋊Q8—114no—
434C22⋊Q8—222no—
435C4×Q8—441no—
436C4×Q8—441no—
437#117—441no—
438#117—441no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—221no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4—221no—
447C2×C4⋊C4—441no—
448C2×C4⋊C4—441no—
449C2×C4⋊C4C22×D1111yescharacteristic
450C2×C4⋊C4C22×D1111yescharacteristic
451C2×C4⋊C4C22×D1111yescharacteristic
452C2×C22⋊C4—111no—
453C2×C22⋊C4—111no—
454C2×C22⋊C4—221no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4—221no—
457C2×C22⋊C4—221no—
458C2×C22⋊C4—221no—
459C2×C22⋊C4—221no—
460C2×C42—111no—
461C2×C42—221no—
462C2×C42—221no—
463C2×C42C22×D1111yescharacteristic
464#107—441no—
465#107—441no—
466#103—41no—
467#103—441no—
468#103—441no—
469#103—441no—
470#103C4×D1114yescomplemented
471#102—114no—
472#102—441no—
473#102—441no—
474C22⋊C8—114no—
475C22⋊C8—222no—
476#97—41no—
477C4×C8—441no—
478#95—21no—
479#95—21no—
480#95—21no—
481#95—221no—
482#95—221no—
483#95—221no—
484#95—221no—
485#95—221no—
486#95—221no—
487C2×C11#232111yescharacteristic
488C2×C11#294711yescharacteristic
489C2×C11#295111yescharacteristic
490C2×C11#320111yescharacteristic
491C2×C11#320311yescharacteristic
492C2×C11#322311yescharacteristic
493C2×C11#322411yescharacteristic
494D11—42no—
495D11—82no—
496C24—111no—
497C24—221no—
498#41—444no—
499#41—444no—
500#41—444no—
501#41—444no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—112no—
508C2×Q8—221no—
509C2×Q8—221no—
510C2×Q8—221no—
511C2×Q8—221no—
512C2×Q8—221no—
513C2×Q8C2×C4×D1112yes—
514C2×D4—112no—
515C2×D4—224no—
516C2×D4—221no—
517C2×D4—221no—
518C2×D4—221no—
519C2×D4—221no—
520C2×D4—221no—
521C2×D4—442no—
522C2×D4—442no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—111no—
528C22×C4—112no—
529C22×C4—112no—
530C22×C4—111no—
531C22×C4—111no—
532C22×C4—224no—
533C22×C4—221no—
534C22×C4—221no—
535C22×C4—221no—
536C22×C4—221no—
537C22×C4—221no—
538C22×C4—221no—
539C22×C4—221no—
540C22×C4—442no—
541C22×C4—442no—
542C22×C4—442no—
543C22×C4—881no—
544C22×C4—881no—
545C22×C4D4×D1111yescharacteristic
546C22×C4D4×D1111yescharacteristic
547C22×C4C23×D1111yescharacteristic
548Q16—444no—
549SD16—444no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—112no—
556C2×C8—221no—
557C2×C8—221no—
558C2×C8—221no—
559C2×C8—221no—
560C2×C8—221no—
561C2×C8C2×C4×D1112yes—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—81no—
568C4⋊C4—224no—
569C4⋊C4—221no—
570C4⋊C4—221no—
571C4⋊C4—221no—
572C4⋊C4—221no—
573C4⋊C4—441no—
574C4⋊C4—441no—
575C4⋊C4—442no—
576C4⋊C4—442no—
577C4⋊C4C2×C4×D1112yes—
578C22⋊C4—224no—
579C22⋊C4—441no—
580C22⋊C4—441no—
581C22⋊C4—881no—
582C22⋊C4—881no—
583C22⋊C4—881no—
584C22⋊C4—881no—
585C22⋊C4—881no—
586C42—21no—
587C42—21no—
588C42—221no—
589C42—221no—
590C42—442no—
591C42—881no—
592C11#2205711yescharacteristic, complemented, Sylow
593C23—112no—
594C23—221no—
595C23—221no—
596C23—221no—
597C23—221no—
598C23—221no—
599C23—221no—
600C23—222no—
601C23—441no—
602C23—441no—
603C23—441no—
604C23—441no—
605C23—441no—
606C23—441no—
607C23C2×D4×D1111yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—41no—
611Q8—41no—
612Q8—222no—
613Q8—222no—
614Q8—441no—
615Q8—441no—
616D4—222no—
617D4—222no—
618D4—448no—
619D4—441no—
620D4—441no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—112no—
640C2×C4—221no—
641C2×C4—221no—
642C2×C4—222no—
643C2×C4—222no—
644C2×C4—222no—
645C2×C4—222no—
646C2×C4—221no—
647C2×C4—221no—
648C2×C4—221no—
649C2×C4—221no—
650C2×C4—222no—
651C2×C4—221no—
652C2×C4—221no—
653C2×C4—448no—
654C2×C4—441no—
655C2×C4—441no—
656C2×C4—441no—
657C2×C4—441no—
658C2×C4—441no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—884no—
663C2×C4C22×C4×D1111yescharacteristic
664C2×C4#6703711yescharacteristic
665C2×C4#41×D1111yescharacteristic
666C2×C4#6704211yescharacteristic
667C2×C4#6704211yescharacteristic
668C2×C4#6704211yescharacteristic
669C8—22no—
670C8—41no—
671C8—222no—
672C8—441no—
673C22—222no—
674C22—222no—
675C22—222no—
676C22—441no—
677C22—441no—
678C22—441no—
679C22—441no—
680C22—442no—
681C22—442no—
682C22—442no—
683C22—881no—
684C22—881no—
685C22—881no—
686C22—881no—
687C22C4×D4×D1111yescharacteristic
688C22#1062313611yescharacteristic
689C22#1062320511yescharacteristic
690C22#1062330511yescharacteristic
691C22#1062330911yescharacteristic
692C22#1062331011yescharacteristic
693C22#1062331011yescharacteristic
694C4—42no—
695C4—41no—
696C4—41no—
697C4—42no—
698C4—81no—
699C4—81no—
700C4—222no—
701C4—442no—
702C4—441no—
703C4—441no—
704C4—881no—
705C4—881no—
706C4#1062305211yescharacteristic
707C4#1062307611yescharacteristic
708C4#1062318811yescharacteristic
709C4#1062323511yescharacteristic
710C2—442no—
711C2—882no—
712C2#1307126911yescharacteristic
713C2#1307745811yescharacteristic
714C2#1307748811yescharacteristic
715C2#1307949911yescharacteristic
716C2#1307951411yescharacteristic
717C2#1307970011yescharacteristic
718C2#1307971111yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1935C2
socleC23×C11C22×D4
prime radicalC22×#4343C22
cosocleC22×C4×C11C24
hypercenter#1935D11
hypocenterC11#22057
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1935

Complements

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

NH ≅ G/Ntype
2. #13071296C2semidirect
4. #13069497C2semidirect
5. #13069476C2semidirect
6. #13069298C2semidirect
7. #13069259C2semidirect
8. #13069234C2semidirect
9. #13068972C2semidirect
10. #13068954C2semidirect
11. #13068922C2semidirect
12. #13068805C2semidirect
14. #13068385C2semidirect
15. C11×#1935C2semidirect
47. #10622423C4semidirect
82. C2×#4326C2×C4semidirect
105. C2×#4314C2×C4semidirect
115. C11×#103C2×C4semidirect
134. #66873C2×C4semidirect
239. #1935D11semidirect
470. #103C4×D11semidirect
592. C11#22057semidirect

Maximal subgroups

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

subgroupindex
C2×#106224232
#130712962
#130712072
#130694972
#130694762
#130692982
#130692592
#130692342
#130689722
#130689542
#130689222
#130688052
#130685552
#130683852
C11×#19352
#2205711