Finite Group Databasebeta

← #14761708

Subgroups — #14761708

Order 2816.

848 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622637C211yesmaximal, characteristic, complemented
2C2×#10622449C211yesmaximal, characteristic
3#13071899C211yesmaximal, characteristic
4#13069410C211yesmaximal, characteristic
5#13069230C211yesmaximal, characteristic, complemented
6#13069230C211yesmaximal, characteristic, complemented
7#13069223C211yesmaximal, characteristic, complemented
8#13069223C211yesmaximal, characteristic, complemented
9#13068735C211yesmaximal, characteristic, complemented
10#13068398C211yesmaximal, characteristic, complemented
11#13068396C211yesmaximal, characteristic, complemented
12#13068391C211yesmaximal, characteristic, complemented
13#13068386C211yesmaximal, characteristic, complemented
14#13068302C211yesmaximal, characteristic, complemented
15C11×#1984C211yesmaximal, characteristic, complemented
16C2×C4×Q8×C11C2211yescharacteristic
17C22×#4313C2211yescharacteristic
18C22×C8×D11C2211yescharacteristic
19C2×C4×D44C2211yescharacteristic
20C2×C11×C4⋊C8C2211yescharacteristic
21C2×C4×C8×C11C2211yescharacteristic
22#10622844C411yescharacteristic
23#10622844C411yescharacteristic
24C2×(C2×D11)⋊C8C2211yescharacteristic
25C2×(C2×D11)⋊C8C2211yescharacteristic
26C2×(C2×D11)⋊C8C2211yescharacteristic
27C2×(C2×D11)⋊C8C2211yescharacteristic
28C2×(C2×D11)⋊C8C2211yescharacteristic
29C2×(C2×D11)⋊C8C2211yescharacteristic
30C2×#66879C2211yescharacteristic
31C2×#66879C2211yescharacteristic
32C2×C8×Dic11C2211yescharacteristic
33C2×C8×Dic11C2211yescharacteristic
34#10622637—24no—
35#10622606C411yescharacteristic
36#10622606C411yescharacteristic
37#10622604C411yescharacteristic
38#10622604C411yescharacteristic
39#10622599C411yescharacteristic
40#10622599C411yescharacteristic
41C4×(C2×D11)⋊C4C2211yescharacteristic
42C4×(C2×D11)⋊C4C2211yescharacteristic
43C4×(C2×D11)⋊C4C2211yescharacteristic
44C4×(C2×D11)⋊C4C2211yescharacteristic
45#10622545C2211yescharacteristic
46C2×C4⋊(C11⋊C8)C2211yescharacteristic
47C2×C4⋊(C11⋊C8)C2211yescharacteristic
48C2×C4⋊(C11⋊C8)C2211yescharacteristic
49C2×#66867C2211yescharacteristic
50C2×#66867C2211yescharacteristic
51C2×C4×C11⋊C8C2211yescharacteristic
52#10622449—24no—
53C11×#336C2211yescharacteristic
54C11×#336C2211yescharacteristic
55C11×#336C2211yescharacteristic
56C11×#336C2211yescharacteristic
57#10622188C2211yescharacteristic
58#10622188C2211yescharacteristic
59#10622188C2211yescharacteristic
60#10622188C2211yescharacteristic
61C22×Q8×C11C2×C411yescharacteristic
62C22×D44C2×C411yescharacteristic
63C22×C4×D11C2311yescharacteristic
64C22×C4×D11C2311yescharacteristic
65C22×C8×C11C2311yescharacteristic
66C22×C8×C11C2311yescharacteristic
67C22×C8×C11C2311yescharacteristic
68C22×C8×C11C2311yescharacteristic
69C4×Q8×C11—22no—
70C4×Q8×C11—22no—
71C2×C11×C4⋊C4C2×C411yescharacteristic
72C2×C11×C4⋊C4C2×C411yescharacteristic
73C2×C11×C4⋊C4C2×C411yescharacteristic
74C2×C42×C11C2311yescharacteristic
75C2×C42×C11C2311yescharacteristic
76C2×C42×C11C2311yescharacteristic
77C2×(C2×D11)⋊C4C2×C411yescharacteristic
78C2×(C2×D11)⋊C4C2×C411yescharacteristic
79C2×(C2×D11)⋊C4C2×C411yescharacteristic
80C2×(C2×D11)⋊C4C2×C411yescharacteristic
81C2×(C2×D11)⋊C4C2×C411yescharacteristic
82C2×(C2×D11)⋊C4C2×C411yescharacteristic
83C2×(C2×D11)⋊C4C2×C411yescharacteristic
84C2×(C2×D11)⋊C4C2×C411yescharacteristic
85C2×(C2×D11)⋊C4C2×C411yescharacteristic
86C2×(C2×D11)⋊C4C2×C411yescharacteristic
87C2×C4⋊Dic11C2×C411yescharacteristic
88C2×C4×Dic11C2311yescharacteristic
89C2×C4×Dic11C2311yescharacteristic
90C22×C11⋊C8C2311yescharacteristic
91C22×C11⋊C8C2311yescharacteristic
92C22×C11⋊C8C2311yescharacteristic
93C22×C11⋊C8C2311yescharacteristic
94C2×#4313—22no—
95C2×#4313—22no—
96C2×#4313—22no—
97C2×C8×D11—22no—
98C2×C8×D11—22no—
99C2×C8×D11—22no—
100C4×D44—22no—
101C4×D44—22no—
102C11×C4⋊C8—22no—
103C4×C8×C11—22no—
104C11⋊#95C2×C411yescharacteristic
105C11⋊#95C2×C411yescharacteristic
106C11⋊#95C2×C411yescharacteristic
107C11⋊#95C2×C411yescharacteristic
108C11⋊#95C2×C411yescharacteristic
109C11⋊#95C2×C411yescharacteristic
110C11⋊#95C2×C411yescharacteristic
111C11⋊#95C2×C411yescharacteristic
112C11⋊#95C2×C411yescharacteristic
113C11⋊#95C2×C411yescharacteristic
114C11⋊#95C2×C411yescharacteristic
115C11⋊#95C2×C411yescharacteristic
116(C2×D11)⋊C8—22no—
117(C2×D11)⋊C8—22no—
118(C2×D11)⋊C8—22no—
119(C2×D11)⋊C8—22no—
120(C2×D11)⋊C8—22no—
121(C2×D11)⋊C8—22no—
122#66879—22no—
123#66879—22no—
124C8×Dic11—22no—
125C8×Dic11—22no—
126C4⋊(C11⋊C8)—22no—
127C4⋊(C11⋊C8)—22no—
128C4⋊(C11⋊C8)—22no—
129#66867—22no—
130#66867D414yes—
131C4×C11⋊C8—22no—
132#21637—111nomaximal, Sylow
133C23×D11C22×C411yescharacteristic
134C23×D11C22×C411yescharacteristic
135C2×Q8×C11—22no—
136C2×Q8×C11—22no—
137C2×Q8×C11—41no—
138C22×C4×C11C22×C411yescharacteristic
139C22×C4×C11C22×C411yescharacteristic
140C22×C4×C11C22×C411yescharacteristic
141C22×C4×C11C22×C411yescharacteristic
142C22×C4×C11C22×C411yescharacteristic
143C22×C4×C11C22×C411yescharacteristic
144C22×C4×C11C2411yescharacteristic
145C22×Dic11C22×C411yescharacteristic
146C22×Dic11C22×C411yescharacteristic
147C22×Dic11C22×C411yescharacteristic
148C22×Dic11C22×C411yescharacteristic
149C22×Dic11C22×C411yescharacteristic
150C22×Dic11C22×C411yescharacteristic
151C2×D44—22no—
152C2×D44—22no—
153C2×D44—41no—
154C2×C4×D11—21no—
155C2×C4×D11—21no—
156C2×C4×D11—21no—
157C2×C4×D11—21no—
158C2×C4×D11—21no—
159C2×C4×D11—21no—
160C2×C4×D11—21no—
161C2×C4×D11—21no—
162C2×C4×D11—21no—
163C2×C4×D11—21no—
164C2×C4×D11—21no—
165C2×C4×D11—21no—
166C2×C8×C11—21no—
167C2×C8×C11—21no—
168C2×C8×C11—21no—
169C2×C8×C11—21no—
170C2×C8×C11—21no—
171C2×C8×C11—21no—
172C2×C8×C11—21no—
173C2×C8×C11—21no—
174C2×C8×C11—21no—
175C2×C8×C11—21no—
176C2×C8×C11#4112yes—
177C2×C8×C11#4112yes—
178C11×C4⋊C4—22no—
179C11×C4⋊C4—22no—
180C11×C4⋊C4—22no—
181C42×C11—21no—
182C42×C11—21no—
183C42×C11—21no—
184C42×C11—21no—
185C42×C11C2×D412yes—
186C42×C11#4112yes—
187(C2×D11)⋊C4—22no—
188(C2×D11)⋊C4—22no—
189(C2×D11)⋊C4—22no—
190(C2×D11)⋊C4—22no—
191(C2×D11)⋊C4—22no—
192(C2×D11)⋊C4—22no—
193(C2×D11)⋊C4—41no—
194(C2×D11)⋊C4—41no—
195(C2×D11)⋊C4—41no—
196(C2×D11)⋊C4—41no—
197C4⋊Dic11—22no—
198C4×Dic11—21no—
199C4×Dic11—21no—
200C4×Dic11—21no—
201C4×Dic11—21no—
202C2×C11⋊C8—21no—
203C2×C11⋊C8—21no—
204C2×C11⋊C8—21no—
205C2×C11⋊C8—21no—
206C2×C11⋊C8—21no—
207C2×C11⋊C8—21no—
208C2×C11⋊C8—21no—
209C2×C11⋊C8—21no—
210C2×C11⋊C8C2×D412yes—
211C2×C11⋊C8C2×D412yes—
212C2×C11⋊C8#4112yes—
213C2×C11⋊C8#4112yes—
214#4313—44no—
215C8×D11—44no—
216C2×#446—111no—
217C2×#435—111no—
218#2398—111no—
219#1984D1111yescharacteristic, complemented
220#1954—111no—
221#1924—111no—
222#1924—111no—
223#1923—111no—
224#1923—111no—
225#1832—111no—
226#1753—111no—
227#1753—111no—
228#1752—111no—
229C8×C22⋊C4—111no—
230#1726—111no—
231C23×C11C23×C411yescharacteristic
232C22×D11—21no—
233C22×D11—21no—
234C22×D11—21no—
235C22×D11—21no—
236C22×D11—21no—
237C22×D11—21no—
238C22×D11—21no—
239C22×D11—21no—
240C22×D11—21no—
241C22×D11—21no—
242C22×D11—21no—
243C22×D11—21no—
244C22×D11—21no—
245C22×D11#13112yes—
246Q8×C11—44no—
247C2×C4×C11—21no—
248C2×C4×C11—21no—
249C2×C4×C11—21no—
250C2×C4×C11—21no—
251C2×C4×C11—21no—
252C2×C4×C11—21no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—21no—
261C2×C4×C11—21no—
262C2×C4×C11C4×D412yes—
263C2×C4×C11C4×D412yes—
264C2×C4×C11#13112yes—
265C2×C4×C11C22×D411yescharacteristic
266C2×C4×C11C2×#4111yescharacteristic
267C2×C4×C11C2×#4111yescharacteristic
268C2×C4×C11C2×#4111yescharacteristic
269C2×C4×C11C2×#4111yescharacteristic
270C2×C4×C11C2×#4111yescharacteristic
271C2×Dic11—21no—
272C2×Dic11—21no—
273C2×Dic11—21no—
274C2×Dic11—21no—
275C2×Dic11—21no—
276C2×Dic11—21no—
277C2×Dic11—21no—
278C2×Dic11—21no—
279C2×Dic11—21no—
280C2×Dic11—21no—
281C2×Dic11—21no—
282C2×Dic11—21no—
283C2×Dic11—21no—
284C2×Dic11—21no—
285C2×Dic11—21no—
286C2×Dic11—21no—
287C2×Dic11—21no—
288C2×Dic11—21no—
289D44—44no—
290C4×D11—41no—
291C4×D11—41no—
292C4×D11—41no—
293C4×D11—41no—
294C4×D11—41no—
295C4×D11—41no—
296C4×D11—41no—
297C4×D11—41no—
298C8×C11—22no—
299C8×C11—22no—
300C8×C11—41no—
301C8×C11—41no—
302C11⋊C8—22no—
303C11⋊C8—41no—
304C11⋊C8—41no—
305C11⋊C8#12414yes—
306C22×M16—111no—
307C23×C8—111no—
308C2×C4×Q8C2×D1111yescharacteristic
309C2×C4×D4—111no—
310#446—224no—
311#435—224no—
312C2×C4⋊C8—111no—
313C2×C4⋊C8—111no—
314C2×C4⋊C8—111no—
315C2×C4⋊C8C2×D1111yescharacteristic
316C2×C22⋊C8—111no—
317C2×C22⋊C8—111no—
318C2×C22⋊C8—111no—
319C2×C22⋊C8—111no—
320C2×C22⋊C8—111no—
321C2×C22⋊C8—111no—
322C2×#97—111no—
323C2×#97—111no—
324C2×#97—111no—
325C2×#97—111no—
326C2×C4×C8—111no—
327C2×C4×C8—111no—
328C2×C4×C8—111no—
329C2×C4×C8C2×D1111yescharacteristic
330#400—111no—
331#400—111no—
332#397—111no—
333#397—111no—
334#394—111no—
335#394—111no—
336#393—111no—
337#393—111no—
338C4×C22⋊C4—111no—
339C4×C22⋊C4—111no—
340C4×C22⋊C4—111no—
341C4×C22⋊C4—111no—
342#376—111no—
343#336—111no—
344#336—111no—
345#336—111no—
346#336—111no—
347#336C2×D1111yescharacteristic
348#336C2×D1111yescharacteristic
349#336C2×D1111yescharacteristic
350#336C2×D1111yescharacteristic
351C22×C11C2×C4×D411yescharacteristic
352C22×C11C4×#4111yescharacteristic
353C22×C11C4×#4111yescharacteristic
354C22×C11C2×#13111yescharacteristic
355C22×C11C2×#13111yescharacteristic
356C22×C11#56811yescharacteristic
357C22×C11#56811yescharacteristic
358C2×D11—22no—
359C2×D11—22no—
360C2×D11—22no—
361C2×D11—41no—
362C2×D11—41no—
363C2×D11—41no—
364C2×D11—41no—
365C2×D11—41no—
366C2×D11—41no—
367C2×D11—41no—
368C2×D11—41no—
369C2×D11—41no—
370C2×D11—41no—
371C2×D11—41no—
372C4×C11—22no—
373C4×C11—22no—
374C4×C11—22no—
375C4×C11—41no—
376C4×C11—41no—
377C4×C11—41no—
378C4×C11C2×#12411yescharacteristic
379C4×C11#52911yescharacteristic
380C4×C11#52911yescharacteristic
381C4×C11#53211yescharacteristic
382Dic11—41no—
383Dic11—41no—
384Dic11—41no—
385Dic11—41no—
386Dic11—41no—
387Dic11—41no—
388C22×Q8C4×D1111yescharacteristic
389C22×D4—111no—
390C23×C4—111no—
391C23×C4—111no—
392C2×M16—222no—
393C2×M16—222no—
394C2×M16—222no—
395C22×C8—111no—
396C22×C8—111no—
397C22×C8—111no—
398C22×C8—111no—
399C22×C8—222no—
400C22×C8—222no—
401C22×C8—222no—
402C22×C8C22×D1111yescharacteristic
403C22×C8C22×D1111yescharacteristic
404C22×C8C22×D1111yescharacteristic
405C22×C8C22×D1111yescharacteristic
406C4×Q8—22no—
407C4×Q8—22no—
408C4×D4—222no—
409C4×D4—222no—
410C2×C4⋊C4—111no—
411C2×C4⋊C4C4×D1111yescharacteristic
412C2×C4⋊C4C4×D1111yescharacteristic
413C2×C4⋊C4C4×D1111yescharacteristic
414C2×C22⋊C4—111no—
415C2×C22⋊C4—111no—
416C2×C22⋊C4—111no—
417C2×C22⋊C4—111no—
418C2×C22⋊C4—111no—
419C2×C22⋊C4—111no—
420C2×C22⋊C4—111no—
421C2×C22⋊C4—111no—
422C2×C22⋊C4—111no—
423C2×C22⋊C4—111no—
424C2×C42—111no—
425C2×C42—111no—
426C2×C42C22×D1111yescharacteristic
427C2×C42C22×D1111yescharacteristic
428C2×C42C22×D1111yescharacteristic
429C4⋊C8—22no—
430C4⋊C8—222no—
431C4⋊C8—222no—
432C4⋊C8—222no—
433C22⋊C8—222no—
434C22⋊C8—222no—
435C22⋊C8—222no—
436C22⋊C8—222no—
437C22⋊C8—222no—
438C22⋊C8—222no—
439#97—114no—
440#97—222no—
441#97—222no—
442#97—222no—
443C4×C8—22no—
444C4×C8—222no—
445C4×C8—222no—
446C4×C8—222no—
447#95—111no—
448#95—111no—
449#95—111no—
450#95—111no—
451#95—111no—
452#95—111no—
453#95—111no—
454#95—111no—
455#95—111no—
456#95—111no—
457#95—111no—
458#95—111no—
459C2×C11C4×#12411yescharacteristic
460C2×C11#293311yescharacteristic
461C2×C11#293311yescharacteristic
462C2×C11#296611yescharacteristic
463C2×C11#296711yescharacteristic
464C2×C11#296811yescharacteristic
465C2×C11#296911yescharacteristic
466D11—42no—
467D11—81no—
468C24—111no—
469C24—111no—
470C2×Q8—22no—
471C2×Q8—22no—
472C2×Q8—41no—
473C2×D4—222no—
474C2×D4—222no—
475C2×D4—441no—
476C22×C4—111no—
477C22×C4—111no—
478C22×C4—111no—
479C22×C4—111no—
480C22×C4—111no—
481C22×C4—111no—
482C22×C4—221no—
483C22×C4—221no—
484C22×C4—221no—
485C22×C4—221no—
486C22×C4—221no—
487C22×C4—221no—
488C22×C4—221no—
489C22×C4—221no—
490C22×C4—221no—
491C22×C4—221no—
492C22×C4—221no—
493C22×C4—221no—
494C22×C4C2×C4×D1111yescharacteristic
495C22×C4C2×C4×D1111yescharacteristic
496C22×C4C2×C4×D1111yescharacteristic
497C22×C4C2×C4×D1111yescharacteristic
498C22×C4C2×C4×D1111yescharacteristic
499C22×C4C2×C4×D1111yescharacteristic
500C22×C4C23×D1111yescharacteristic
501M16—444no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—112no—
513C2×C8—112no—
514C2×C8—112no—
515C2×C8—112no—
516C2×C8—221no—
517C2×C8—221no—
518C2×C8—221no—
519C2×C8—221no—
520C2×C8—221no—
521C2×C8—221no—
522C2×C8—221no—
523C2×C8—221no—
524C2×C8—444no—
525C2×C8#434312yes—
526C2×C8#434312yes—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—222no—
531C22⋊C4—222no—
532C22⋊C4—222no—
533C22⋊C4—222no—
534C22⋊C4—222no—
535C22⋊C4—222no—
536C22⋊C4—222no—
537C22⋊C4—441no—
538C22⋊C4—441no—
539C22⋊C4—441no—
540C22⋊C4—441no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—21no—
545C42—221no—
546C42—221no—
547C42—221no—
548C42—221no—
549C42D4×D1112yes—
550C42#434112yes—
551C11#2163711yescharacteristic, complemented, Sylow
552C23—112no—
553C23—221no—
554C23—221no—
555C23—221no—
556C23—221no—
557C23—221no—
558C23—221no—
559C23—221no—
560C23—221no—
561C23—221no—
562C23—221no—
563C23—221no—
564C23—221no—
565C23—221no—
566C23C22×C4×D1111yescharacteristic
567Q8—44no—
568D4—444no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—221no—
585C2×C4—221no—
586C2×C4—221no—
587C2×C4—221no—
588C2×C4—221no—
589C2×C4—221no—
590C2×C4—221no—
591C2×C4—221no—
592C2×C4—221no—
593C2×C4—221no—
594C2×C4—221no—
595C2×C4—221no—
596C2×C4—221no—
597C2×C4—221no—
598C2×C4—221no—
599C2×C4—221no—
600C2×C4—221no—
601C2×C4—221no—
602C2×C4—441no—
603C2×C4—441no—
604C2×C4—441no—
605C2×C4—441no—
606C2×C4—441no—
607C2×C4—441no—
608C2×C4—441no—
609C2×C4—441no—
610C2×C4(C22⋊D11)⋊C412yes—
611C2×C4(C22⋊D11)⋊C412yes—
612C2×C4#6695412yes—
613C2×C4C2×D4×D1111yescharacteristic
614C2×C4C2×#434111yescharacteristic
615C2×C4C2×#434311yescharacteristic
616C2×C4C2×#434311yescharacteristic
617C2×C4#41×D1111yescharacteristic
618C2×C4#41×D1111yescharacteristic
619C8—22no—
620C8—22no—
621C8—41no—
622C8—41no—
623C8—114no—
624C8—222no—
625C8—441no—
626C8—441no—
627C22—222no—
628C22—222no—
629C22—222no—
630C22—441no—
631C22—441no—
632C22—441no—
633C22—441no—
634C22—441no—
635C22—441no—
636C22—441no—
637C22—441no—
638C22—441no—
639C22—441no—
640C22—441no—
641C22C2×(C22⋊D11)⋊C411yescharacteristic
642C22C4×#434311yescharacteristic
643C22C4×#434311yescharacteristic
644C22C2×#6695411yescharacteristic
645C22#1062327611yescharacteristic
646C22D11×#13111yescharacteristic
647C22#1062328111yescharacteristic
648C4—22no—
649C4—22no—
650C4—22no—
651C4—41no—
652C4—41no—
653C4—41no—
654C4—441no—
655C4—441no—
656C4—441no—
657C4—441no—
658C4—441no—
659C4—441no—
660C4#1062315511yescharacteristic
661C4#1062315511yescharacteristic
662C4D11×#12411yescharacteristic
663C4#1062325611yescharacteristic
664C2—442no—
665C2—881no—
666C2#1307115911yescharacteristic
667C2#1307733711yescharacteristic
668C2#1307734611yescharacteristic
669C2#1307759311yescharacteristic
670C2#1307760011yescharacteristic
671C2#1307760911yescharacteristic
672C2#1307761911yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D11
commutator, socleC23×C11C23×C4
FittingC11×#1984C2
prime radicalC22×D44C2×C4
cosocleC22×C4×C11C24
hypercenter#1984D11
hypocenterC11#21637
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ #1984

Complements

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

NH ≅ G/Ntype
1. C2×#10622637C2semidirect
5. #13069230C2semidirect
6. #13069230C2semidirect
7. #13069223C2semidirect
8. #13069223C2semidirect
9. #13068735C2semidirect
10. #13068398C2semidirect
11. #13068396C2semidirect
12. #13068391C2semidirect
13. #13068386C2semidirect
14. #13068302C2semidirect
15. C11×#1984C2semidirect
219. #1984D11semidirect
551. C11#21637semidirect

Maximal subgroups

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

subgroupindex
C2×#106226372
C2×#106224492
#130718992
#130694102
#130692302
#130692232
#130687352
#130683982
#130683962
#130683912
#130683862
#130683022
C11×#19842
#2163711